Finito

diff --git a/figur.eps b/figur.eps
new file mode 100644 (file)
index 0000000..3323ecf
--- /dev/null
+++ b/figur.eps
@@ -0,0 +1,4787 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%Title: /home/edv4rd/School/Stokastisk - TMA4265/figur.eps
+%%Creator: matplotlib version 0.99.3, http://matplotlib.sourceforge.net/
+%%CreationDate: Mon Oct 31 14:32:51 2011
+%%Orientation: portrait
+%%BoundingBox: -53 190 665 601
+%%EndComments
+%%BeginProlog
+/mpldict 8 dict def
+mpldict begin
+/m { moveto } bind def
+/l { lineto } bind def
+/r { rlineto } bind def
+/c { curveto } bind def
+/cl { closepath } bind def
+/box {
+m
+1 index 0 r
+0 exch r
+neg 0 r
+cl
+} bind def
+/clipbox {
+box
+clip
+newpath
+} bind def
+%!PS-Adobe-3.0 Resource-Font
+%%Title: DejaVu Sans
+%%Copyright: Copyright (c) 2003 by Bitstream, Inc. All Rights Reserved. Copyright (c) 2006 by Tavmjong Bah. All Rights Reserved. DejaVu changes are in public domain 
+%%Creator: Converted from TrueType by PPR
+25 dict begin
+/_d{bind def}bind def
+/_m{moveto}_d
+/_l{lineto}_d
+/_cl{closepath eofill}_d
+/_c{curveto}_d
+/_sc{7 -1 roll{setcachedevice}{pop pop pop pop pop pop}ifelse}_d
+/_e{exec}_d
+/FontName /DejaVuSans def
+/PaintType 0 def
+/FontMatrix[.001 0 0 .001 0 0]def
+/FontBBox[-1020 -414 1681 1167]def
+/FontType 3 def
+/Encoding StandardEncoding def
+/FontInfo 10 dict dup begin
+/FamilyName (DejaVu Sans) def
+/FullName (DejaVu Sans) def
+/Notice (Copyright (c) 2003 by Bitstream, Inc. All Rights Reserved. Copyright (c) 2006 by Tavmjong Bah. All Rights Reserved. DejaVu changes are in public domain ) def
+/Weight (Book) def
+/Version (Version 2.31) def
+/ItalicAngle 0.0 def
+/isFixedPitch false def
+/UnderlinePosition -130 def
+/UnderlineThickness 90 def
+end readonly def
+/CharStrings 19 dict dup begin
+/space{318 0 0 0 0 0 _sc
+}_d
+/zero{636 0 66 -13 570 742 _sc
+318 664 _m
+267 664 229 639 203 589 _c
+177 539 165 464 165 364 _c
+165 264 177 189 203 139 _c
+229 89 267 64 318 64 _c
+369 64 407 89 433 139 _c
+458 189 471 264 471 364 _c
+471 464 458 539 433 589 _c
+407 639 369 664 318 664 _c
+318 742 _m
+399 742 461 709 505 645 _c
+548 580 570 486 570 364 _c
+570 241 548 147 505 83 _c
+461 19 399 -13 318 -13 _c
+236 -13 173 19 130 83 _c
+87 147 66 241 66 364 _c
+66 486 87 580 130 645 _c
+173 709 236 742 318 742 _c
+_cl}_d
+/one{636 0 110 0 544 729 _sc
+124 83 _m
+285 83 _l
+285 639 _l
+110 604 _l
+110 694 _l
+284 729 _l
+383 729 _l
+383 83 _l
+544 83 _l
+544 0 _l
+124 0 _l
+124 83 _l
+_cl}_d
+/two{{636 0 73 0 536 742 _sc
+192 83 _m
+536 83 _l
+536 0 _l
+73 0 _l
+73 83 _l
+110 121 161 173 226 239 _c
+290 304 331 346 348 365 _c
+380 400 402 430 414 455 _c
+426 479 433 504 433 528 _c
+433 566 419 598 392 622 _c
+365 646 330 659 286 659 _c
+255 659 222 653 188 643 _c
+154 632 117 616 78 594 _c
+78 694 _l
+118 710 155 722 189 730 _c
+223 738 255 742 284 742 _c
+359 742 419 723 464 685 _c
+509 647 532 597 532 534 _c
+532 504 526 475 515 449 _c
+504 422 484 390 454 354 _c
+446 344 420 317 376 272 _c
+332 227 271 164 192 83 _c
+_cl}_e}_d
+/three{{636 0 76 -13 556 742 _sc
+406 393 _m
+453 383 490 362 516 330 _c
+542 298 556 258 556 212 _c
+556 140 531 84 482 45 _c
+432 6 362 -13 271 -13 _c
+240 -13 208 -10 176 -4 _c
+144 1 110 10 76 22 _c
+76 117 _l
+103 101 133 89 166 81 _c
+198 73 232 69 268 69 _c
+330 69 377 81 409 105 _c
+441 129 458 165 458 212 _c
+458 254 443 288 413 312 _c
+383 336 341 349 287 349 _c
+202 349 _l
+202 430 _l
+291 430 _l
+339 430 376 439 402 459 _c
+428 478 441 506 441 543 _c
+441 580 427 609 401 629 _c
+374 649 336 659 287 659 _c
+260 659 231 656 200 650 _c
+169 644 135 635 98 623 _c
+98 711 _l
+135 721 170 729 203 734 _c
+235 739 266 742 296 742 _c
+}_e{370 742 429 725 473 691 _c
+517 657 539 611 539 553 _c
+539 513 527 479 504 451 _c
+481 423 448 403 406 393 _c
+_cl}_e}_d
+/four{636 0 49 0 580 729 _sc
+378 643 _m
+129 254 _l
+378 254 _l
+378 643 _l
+352 729 _m
+476 729 _l
+476 254 _l
+580 254 _l
+580 172 _l
+476 172 _l
+476 0 _l
+378 0 _l
+378 172 _l
+49 172 _l
+49 267 _l
+352 729 _l
+_cl}_d
+/five{{636 0 77 -13 549 729 _sc
+108 729 _m
+495 729 _l
+495 646 _l
+198 646 _l
+198 467 _l
+212 472 227 476 241 478 _c
+255 480 270 482 284 482 _c
+365 482 429 459 477 415 _c
+525 370 549 310 549 234 _c
+549 155 524 94 475 51 _c
+426 8 357 -13 269 -13 _c
+238 -13 207 -10 175 -6 _c
+143 -1 111 6 77 17 _c
+77 116 _l
+106 100 136 88 168 80 _c
+199 72 232 69 267 69 _c
+323 69 368 83 401 113 _c
+433 143 450 183 450 234 _c
+450 284 433 324 401 354 _c
+368 384 323 399 267 399 _c
+241 399 214 396 188 390 _c
+162 384 135 375 108 363 _c
+108 729 _l
+_cl}_e}_d
+/six{{636 0 70 -13 573 742 _sc
+330 404 _m
+286 404 251 388 225 358 _c
+199 328 186 286 186 234 _c
+186 181 199 139 225 109 _c
+251 79 286 64 330 64 _c
+374 64 409 79 435 109 _c
+461 139 474 181 474 234 _c
+474 286 461 328 435 358 _c
+409 388 374 404 330 404 _c
+526 713 _m
+526 623 _l
+501 635 476 644 451 650 _c
+425 656 400 659 376 659 _c
+310 659 260 637 226 593 _c
+192 549 172 482 168 394 _c
+187 422 211 444 240 459 _c
+269 474 301 482 336 482 _c
+409 482 467 459 509 415 _c
+551 371 573 310 573 234 _c
+573 159 550 99 506 54 _c
+462 9 403 -13 330 -13 _c
+246 -13 181 19 137 83 _c
+92 147 70 241 70 364 _c
+70 479 97 571 152 639 _c
+206 707 280 742 372 742 _c
+}_e{396 742 421 739 447 735 _c
+472 730 498 723 526 713 _c
+_cl}_e}_d
+/seven{636 0 82 0 551 729 _sc
+82 729 _m
+551 729 _l
+551 687 _l
+286 0 _l
+183 0 _l
+432 646 _l
+82 646 _l
+82 729 _l
+_cl}_d
+/eight{{636 0 68 -13 568 742 _sc
+318 346 _m
+271 346 234 333 207 308 _c
+180 283 167 249 167 205 _c
+167 161 180 126 207 101 _c
+234 76 271 64 318 64 _c
+364 64 401 76 428 102 _c
+455 127 469 161 469 205 _c
+469 249 455 283 429 308 _c
+402 333 365 346 318 346 _c
+219 388 _m
+177 398 144 418 120 447 _c
+96 476 85 511 85 553 _c
+85 611 105 657 147 691 _c
+188 725 245 742 318 742 _c
+390 742 447 725 489 691 _c
+530 657 551 611 551 553 _c
+551 511 539 476 515 447 _c
+491 418 459 398 417 388 _c
+464 377 501 355 528 323 _c
+554 291 568 251 568 205 _c
+568 134 546 80 503 43 _c
+459 5 398 -13 318 -13 _c
+237 -13 175 5 132 43 _c
+89 80 68 134 68 205 _c
+68 251 81 291 108 323 _c
+134 355 171 377 219 388 _c
+}_e{183 544 _m
+183 506 194 476 218 455 _c
+242 434 275 424 318 424 _c
+360 424 393 434 417 455 _c
+441 476 453 506 453 544 _c
+453 582 441 611 417 632 _c
+393 653 360 664 318 664 _c
+275 664 242 653 218 632 _c
+194 611 183 582 183 544 _c
+_cl}_e}_d
+/nine{{636 0 63 -13 566 742 _sc
+110 15 _m
+110 105 _l
+134 93 159 84 185 78 _c
+210 72 235 69 260 69 _c
+324 69 374 90 408 134 _c
+442 178 462 244 468 334 _c
+448 306 424 284 396 269 _c
+367 254 335 247 300 247 _c
+226 247 168 269 126 313 _c
+84 357 63 417 63 494 _c
+63 568 85 628 129 674 _c
+173 719 232 742 306 742 _c
+390 742 455 709 499 645 _c
+543 580 566 486 566 364 _c
+566 248 538 157 484 89 _c
+429 21 356 -13 264 -13 _c
+239 -13 214 -10 189 -6 _c
+163 -2 137 5 110 15 _c
+306 324 _m
+350 324 385 339 411 369 _c
+437 399 450 441 450 494 _c
+450 546 437 588 411 618 _c
+385 648 350 664 306 664 _c
+262 664 227 648 201 618 _c
+175 588 162 546 162 494 _c
+}_e{162 441 175 399 201 369 _c
+227 339 262 324 306 324 _c
+_cl}_e}_d
+/S{{635 0 66 -13 579 742 _sc
+535 705 _m
+535 609 _l
+497 627 462 640 429 649 _c
+395 657 363 662 333 662 _c
+279 662 237 651 208 631 _c
+179 610 165 580 165 542 _c
+165 510 174 485 194 469 _c
+213 452 250 439 304 429 _c
+364 417 _l
+437 403 491 378 526 343 _c
+561 307 579 260 579 201 _c
+579 130 555 77 508 41 _c
+460 5 391 -13 300 -13 _c
+265 -13 228 -9 189 -2 _c
+150 5 110 16 69 32 _c
+69 134 _l
+109 111 148 94 186 83 _c
+224 71 262 66 300 66 _c
+356 66 399 77 430 99 _c
+460 121 476 152 476 194 _c
+476 230 465 258 443 278 _c
+421 298 385 313 335 323 _c
+275 335 _l
+201 349 148 372 115 404 _c
+82 435 66 478 66 534 _c
+66 598 88 649 134 686 _c
+179 723 242 742 322 742 _c
+}_e{356 742 390 739 426 733 _c
+461 727 497 717 535 705 _c
+_cl}_e}_d
+/a{{613 0 60 -13 522 560 _sc
+343 275 _m
+270 275 220 266 192 250 _c
+164 233 150 205 150 165 _c
+150 133 160 107 181 89 _c
+202 70 231 61 267 61 _c
+317 61 357 78 387 114 _c
+417 149 432 196 432 255 _c
+432 275 _l
+343 275 _l
+522 312 _m
+522 0 _l
+432 0 _l
+432 83 _l
+411 49 385 25 355 10 _c
+325 -5 287 -13 243 -13 _c
+187 -13 142 2 109 33 _c
+76 64 60 106 60 159 _c
+60 220 80 266 122 298 _c
+163 329 224 345 306 345 _c
+432 345 _l
+432 354 _l
+432 395 418 427 391 450 _c
+364 472 326 484 277 484 _c
+245 484 215 480 185 472 _c
+155 464 127 453 100 439 _c
+100 522 _l
+}_e{132 534 164 544 195 550 _c
+226 556 256 560 286 560 _c
+365 560 424 539 463 498 _c
+502 457 522 395 522 312 _c
+_cl}_e}_d
+/e{{615 0 55 -13 562 560 _sc
+562 296 _m
+562 252 _l
+149 252 _l
+153 190 171 142 205 110 _c
+238 78 284 62 344 62 _c
+378 62 412 66 444 74 _c
+476 82 509 95 541 113 _c
+541 28 _l
+509 14 476 3 442 -3 _c
+408 -9 373 -13 339 -13 _c
+251 -13 182 12 131 62 _c
+80 112 55 181 55 268 _c
+55 357 79 428 127 481 _c
+175 533 241 560 323 560 _c
+397 560 455 536 498 489 _c
+540 441 562 377 562 296 _c
+472 322 _m
+471 371 457 410 431 440 _c
+404 469 368 484 324 484 _c
+274 484 234 469 204 441 _c
+174 413 156 373 152 322 _c
+472 322 _l
+_cl}_e}_d
+/i{278 0 94 0 184 760 _sc
+94 547 _m
+184 547 _l
+184 0 _l
+94 0 _l
+94 547 _l
+94 760 _m
+184 760 _l
+184 646 _l
+94 646 _l
+94 760 _l
+_cl}_d
+/n{634 0 91 0 549 560 _sc
+549 330 _m
+549 0 _l
+459 0 _l
+459 327 _l
+459 379 448 417 428 443 _c
+408 469 378 482 338 482 _c
+289 482 251 466 223 435 _c
+195 404 181 362 181 309 _c
+181 0 _l
+91 0 _l
+91 547 _l
+181 547 _l
+181 462 _l
+202 494 227 519 257 535 _c
+286 551 320 560 358 560 _c
+420 560 468 540 500 501 _c
+532 462 549 405 549 330 _c
+_cl}_d
+/p{{635 0 91 -207 580 560 _sc
+181 82 _m
+181 -207 _l
+91 -207 _l
+91 547 _l
+181 547 _l
+181 464 _l
+199 496 223 520 252 536 _c
+281 552 316 560 356 560 _c
+422 560 476 533 518 481 _c
+559 428 580 359 580 273 _c
+580 187 559 117 518 65 _c
+476 13 422 -13 356 -13 _c
+316 -13 281 -5 252 10 _c
+223 25 199 49 181 82 _c
+487 273 _m
+487 339 473 390 446 428 _c
+418 466 381 485 334 485 _c
+286 485 249 466 222 428 _c
+194 390 181 339 181 273 _c
+181 207 194 155 222 117 _c
+249 79 286 61 334 61 _c
+381 61 418 79 446 117 _c
+473 155 487 207 487 273 _c
+_cl}_e}_d
+/r{411 0 91 0 411 560 _sc
+411 463 _m
+401 469 390 473 378 476 _c
+366 478 353 480 339 480 _c
+288 480 249 463 222 430 _c
+194 397 181 350 181 288 _c
+181 0 _l
+91 0 _l
+91 547 _l
+181 547 _l
+181 462 _l
+199 495 224 520 254 536 _c
+284 552 321 560 365 560 _c
+371 560 378 559 386 559 _c
+393 558 401 557 411 555 _c
+411 463 _l
+_cl}_d
+/t{392 0 27 0 368 702 _sc
+183 702 _m
+183 547 _l
+368 547 _l
+368 477 _l
+183 477 _l
+183 180 _l
+183 135 189 106 201 94 _c
+213 81 238 75 276 75 _c
+368 75 _l
+368 0 _l
+276 0 _l
+206 0 158 13 132 39 _c
+106 65 93 112 93 180 _c
+93 477 _l
+27 477 _l
+27 547 _l
+93 547 _l
+93 702 _l
+183 702 _l
+_cl}_d
+end readonly def
+
+/BuildGlyph
+ {exch begin
+ CharStrings exch
+ 2 copy known not{pop /.notdef}if
+ true 3 1 roll get exec
+ end}_d
+
+/BuildChar {
+ 1 index /Encoding get exch get
+ 1 index /BuildGlyph get exec
+}_d
+
+FontName currentdict end definefont pop
+end
+%%EndProlog
+mpldict begin
+-53.1 190.35 translate
+718.2 411.3 0 0 clipbox
+1.000 setlinewidth
+1 setlinejoin
+2 setlinecap
+[] 0 setdash
+1.000 setgray
+gsave
+0 0 m
+718.2 0 l
+718.2 411.3 l
+0 411.3 l
+0 0 l
+gsave
+fill
+grestore
+stroke
+grestore
+gsave
+89.775 41.13 m
+646.38 41.13 l
+646.38 370.17 l
+89.775 370.17 l
+89.775 41.13 l
+fill
+grestore
+0.000 0.000 1.000 setrgbcolor
+gsave
+556.6 329 89.77 41.13 clipbox
+89.775 123.39 m
+89.8368 120.1 l
+90.0224 123.39 l
+90.4553 133.261 l
+91.0737 113.519 l
+91.6303 129.971 l
+91.8777 123.39 l
+91.9396 126.68 l
+92.1251 136.552 l
+92.2488 129.971 l
+92.8054 113.519 l
+93.1146 129.971 l
+93.2383 123.39 l
+93.3002 120.1 l
+93.4857 123.39 l
+93.9805 136.552 l
+94.0423 133.261 l
+94.166 139.842 l
+94.5989 156.294 l
+94.6608 153.004 l
+94.97 149.713 l
+95.341 162.875 l
+95.4029 159.584 l
+95.9595 143.132 l
+96.145 153.004 l
+96.2687 146.423 l
+96.8872 126.68 l
+97.0727 129.971 l
+97.1346 126.68 l
+97.6912 110.228 l
+97.753 113.519 l
+97.8767 106.938 l
+97.9385 103.648 l
+98.1241 106.938 l
+98.1859 110.228 l
+98.3715 106.938 l
+98.9281 90.486 l
+99.4228 103.648 l
+99.4847 100.357 l
+99.6702 103.648 l
+99.732 106.938 l
+99.9176 103.648 l
+100.289 97.0668 l
+100.474 100.357 l
+100.536 97.0668 l
+100.845 93.7764 l
+101.154 110.228 l
+101.278 103.648 l
+101.34 100.357 l
+101.464 106.938 l
+101.773 116.809 l
+101.835 113.519 l
+101.897 110.228 l
+102.082 113.519 l
+102.453 120.1 l
+102.886 110.228 l
+103.072 120.1 l
+103.257 116.809 l
+103.381 110.228 l
+103.505 116.809 l
+104.061 133.261 l
+104.247 129.971 l
+104.309 133.261 l
+104.494 143.132 l
+104.618 136.552 l
+104.68 133.261 l
+104.865 136.552 l
+105.051 146.423 l
+105.174 139.842 l
+106.164 100.357 l
+106.535 106.938 l
+106.844 90.486 l
+106.968 97.0668 l
+107.215 110.228 l
+107.339 103.648 l
+107.586 97.0668 l
+107.648 100.357 l
+108.081 110.228 l
+108.514 100.357 l
+108.885 106.938 l
+109.565 83.9052 l
+109.998 93.7764 l
+110.184 90.486 l
+110.246 93.7764 l
+110.617 106.938 l
+110.679 103.648 l
+111.235 87.1956 l
+111.73 106.938 l
+111.792 103.648 l
+111.977 93.7764 l
+112.163 97.0668 l
+112.534 110.228 l
+112.596 106.938 l
+113.152 90.486 l
+113.585 100.357 l
+113.833 87.1956 l
+113.956 93.7764 l
+114.389 103.648 l
+114.513 97.0668 l
+114.637 103.648 l
+115.812 153.004 l
+116.183 146.423 l
+116.739 169.456 l
+116.801 166.165 l
+116.863 162.875 l
+117.049 166.165 l
+117.482 182.617 l
+117.543 179.327 l
+117.605 176.036 l
+117.729 182.617 l
+118.162 192.488 l
+118.224 189.198 l
+118.409 192.488 l
+118.78 199.069 l
+119.337 182.617 l
+119.708 189.198 l
+120.265 172.746 l
+120.45 176.036 l
+120.512 172.746 l
+120.821 162.875 l
+120.883 166.165 l
+121.44 182.617 l
+121.934 162.875 l
+121.996 166.165 l
+122.305 182.617 l
+122.491 179.327 l
+122.8 169.456 l
+122.862 172.746 l
+123.109 185.908 l
+123.295 182.617 l
+123.481 172.746 l
+123.604 179.327 l
+124.037 189.198 l
+124.099 185.908 l
+124.223 192.488 l
+124.965 218.812 l
+125.521 202.36 l
+125.583 205.65 l
+125.707 199.069 l
+126.016 189.198 l
+126.078 192.488 l
+126.14 195.779 l
+126.264 189.198 l
+126.325 185.908 l
+126.449 192.488 l
+126.511 195.779 l
+126.635 189.198 l
+126.944 179.327 l
+127.006 182.617 l
+127.129 189.198 l
+127.315 185.908 l
+127.377 182.617 l
+127.5 189.198 l
+127.933 199.069 l
+128.304 185.908 l
+128.366 189.198 l
+128.552 199.069 l
+128.676 192.488 l
+129.356 169.456 l
+129.789 179.327 l
+130.407 159.584 l
+130.716 162.875 l
+131.211 149.713 l
+131.273 153.004 l
+131.397 146.423 l
+131.644 139.842 l
+131.706 143.132 l
+131.768 146.423 l
+131.891 139.842 l
+132.386 126.68 l
+132.448 129.971 l
+132.572 123.39 l
+132.634 120.1 l
+132.819 123.39 l
+132.881 126.68 l
+133.005 120.1 l
+133.438 110.228 l
+133.685 116.809 l
+133.747 113.519 l
+133.87 106.938 l
+133.994 113.519 l
+134.427 123.39 l
+134.86 100.357 l
+134.984 106.938 l
+135.169 116.809 l
+135.355 113.519 l
+135.664 97.0668 l
+135.85 100.357 l
+136.53 123.39 l
+136.839 120.1 l
+137.272 136.552 l
+137.334 133.261 l
+137.952 113.519 l
+138.261 123.39 l
+138.323 120.1 l
+138.633 110.228 l
+138.694 113.519 l
+138.756 116.809 l
+138.88 110.228 l
+139.189 106.938 l
+139.622 123.39 l
+139.684 120.1 l
+140.302 100.357 l
+140.735 110.228 l
+140.921 100.357 l
+141.106 103.648 l
+141.539 113.519 l
+141.725 103.648 l
+141.848 110.228 l
+142.096 116.809 l
+142.158 113.519 l
+142.22 110.228 l
+142.343 116.809 l
+142.962 136.552 l
+143.456 123.39 l
+143.58 129.971 l
+143.766 126.68 l
+144.322 110.228 l
+144.57 116.809 l
+144.632 113.519 l
+145.312 90.486 l
+145.745 106.938 l
+145.807 103.648 l
+145.93 97.0668 l
+146.054 103.648 l
+146.425 110.228 l
+147.167 83.9052 l
+147.476 87.1956 l
+148.095 67.4532 l
+148.219 74.034 l
+148.404 70.7436 l
+148.466 67.4532 l
+148.59 74.034 l
+148.651 77.3244 l
+148.775 70.7436 l
+149.146 64.1628 l
+149.27 70.7436 l
+149.394 64.1628 l
+149.517 57.582 l
+149.641 64.1628 l
+149.765 70.7436 l
+149.888 64.1628 l
+150.136 57.582 l
+150.198 60.8724 l
+150.63 70.7436 l
+150.754 64.1628 l
+150.94 67.4532 l
+151.063 74.034 l
+151.187 67.4532 l
+151.434 60.8724 l
+151.496 64.1628 l
+151.558 67.4532 l
+151.682 60.8724 l
+151.744 57.582 l
+151.929 60.8724 l
+152.115 70.7436 l
+152.238 64.1628 l
+152.548 60.8724 l
+152.61 64.1628 l
+152.795 60.8724 l
+153.166 54.2916 l
+153.475 57.582 l
+153.661 54.2916 l
+153.723 57.582 l
+154.527 87.1956 l
+154.589 83.9052 l
+154.712 90.486 l
+155.207 103.648 l
+155.64 87.1956 l
+155.702 90.486 l
+155.887 100.357 l
+156.011 93.7764 l
+156.073 90.486 l
+156.197 97.0668 l
+156.382 100.357 l
+156.444 97.0668 l
+156.506 93.7764 l
+156.629 100.357 l
+157.001 113.519 l
+157.062 110.228 l
+157.186 103.648 l
+157.31 110.228 l
+157.743 120.1 l
+158.608 80.6148 l
+158.67 83.9052 l
+158.794 90.486 l
+158.918 83.9052 l
+159.165 77.3244 l
+159.227 80.6148 l
+159.474 87.1956 l
+159.536 83.9052 l
+159.722 80.6148 l
+159.784 83.9052 l
+160.464 120.1 l
+160.588 113.519 l
+160.897 110.228 l
+161.392 129.971 l
+161.453 126.68 l
+161.886 110.228 l
+161.948 113.519 l
+162.195 120.1 l
+162.257 116.809 l
+162.443 106.938 l
+162.567 113.519 l
+163.123 129.971 l
+163.309 126.68 l
+163.371 129.971 l
+163.803 139.842 l
+164.113 129.971 l
+164.175 133.261 l
+164.422 139.842 l
+164.484 136.552 l
+164.546 133.261 l
+164.731 136.552 l
+165.102 143.132 l
+165.535 133.261 l
+166.092 149.713 l
+166.586 136.552 l
+167.329 162.875 l
+167.39 159.584 l
+167.514 166.165 l
+168.009 179.327 l
+168.256 172.746 l
+168.318 176.036 l
+168.504 185.908 l
+168.627 179.327 l
+169.493 146.423 l
+169.741 153.004 l
+169.802 149.713 l
+170.112 146.423 l
+170.297 156.294 l
+170.483 153.004 l
+170.792 149.713 l
+170.916 156.294 l
+171.039 149.713 l
+171.41 129.971 l
+171.534 136.552 l
+172.153 156.294 l
+172.462 146.423 l
+172.524 149.713 l
+172.833 159.584 l
+172.895 156.294 l
+173.142 143.132 l
+173.328 146.423 l
+173.822 159.584 l
+174.193 153.004 l
+174.503 162.875 l
+174.564 159.584 l
+174.626 156.294 l
+174.75 162.875 l
+175.059 172.746 l
+175.121 169.456 l
+175.492 156.294 l
+175.554 159.584 l
+176.111 176.036 l
+176.172 172.746 l
+176.296 179.327 l
+176.358 182.617 l
+176.482 176.036 l
+176.976 156.294 l
+177.038 159.584 l
+177.1 162.875 l
+177.286 159.584 l
+177.471 149.713 l
+177.595 156.294 l
+177.966 162.875 l
+178.09 156.294 l
+178.275 159.584 l
+178.708 169.456 l
+178.894 166.165 l
+178.955 169.456 l
+179.327 182.617 l
+179.388 179.327 l
+179.512 172.746 l
+179.636 179.327 l
+179.698 182.617 l
+179.821 176.036 l
+179.945 169.456 l
+180.069 176.036 l
+180.131 179.327 l
+180.254 172.746 l
+180.316 169.456 l
+180.44 176.036 l
+180.873 185.908 l
+181.615 153.004 l
+181.677 156.294 l
+181.986 159.584 l
+182.295 149.713 l
+182.357 153.004 l
+182.914 169.456 l
+183.47 153.004 l
+183.965 166.165 l
+184.398 156.294 l
+184.522 162.875 l
+184.645 156.294 l
+184.893 149.713 l
+184.954 153.004 l
+185.202 159.584 l
+185.264 156.294 l
+185.635 149.713 l
+186.006 156.294 l
+186.377 149.713 l
+186.686 153.004 l
+186.995 149.713 l
+187.243 162.875 l
+187.366 156.294 l
+187.614 143.132 l
+187.737 149.713 l
+187.923 159.584 l
+188.109 156.294 l
+188.974 116.809 l
+189.036 120.1 l
+189.655 146.423 l
+189.717 143.132 l
+189.902 139.842 l
+189.964 143.132 l
+190.026 146.423 l
+190.211 143.132 l
+190.644 133.261 l
+190.953 136.552 l
+191.077 129.971 l
+191.201 136.552 l
+191.263 139.842 l
+191.448 136.552 l
+191.757 126.68 l
+191.819 129.971 l
+192.19 136.552 l
+192.5 133.261 l
+192.623 139.842 l
+192.747 133.261 l
+192.871 126.68 l
+192.994 133.261 l
+193.304 136.552 l
+193.984 113.519 l
+194.479 126.68 l
+194.788 123.39 l
+194.85 126.68 l
+194.973 120.1 l
+195.468 106.938 l
+195.654 116.809 l
+195.777 110.228 l
+196.334 93.7764 l
+196.396 97.0668 l
+196.519 90.486 l
+196.581 87.1956 l
+196.705 93.7764 l
+196.952 100.357 l
+197.014 97.0668 l
+197.323 93.7764 l
+197.385 97.0668 l
+197.571 93.7764 l
+197.633 90.486 l
+197.756 97.0668 l
+197.818 100.357 l
+197.942 93.7764 l
+198.993 51.0012 l
+199.488 64.1628 l
+199.55 60.8724 l
+199.674 67.4532 l
+199.735 70.7436 l
+199.859 64.1628 l
+200.354 51.0012 l
+200.663 54.2916 l
+200.91 47.7108 l
+200.972 51.0012 l
+201.591 70.7436 l
+201.653 67.4532 l
+201.776 74.034 l
+201.838 77.3244 l
+201.962 70.7436 l
+202.271 67.4532 l
+202.704 77.3244 l
+202.89 67.4532 l
+203.013 74.034 l
+203.322 77.3244 l
+203.941 57.582 l
+204.374 67.4532 l
+204.807 57.582 l
+205.178 70.7436 l
+205.24 67.4532 l
+205.425 57.582 l
+205.611 60.8724 l
+205.858 67.4532 l
+205.92 64.1628 l
+206.105 60.8724 l
+206.167 64.1628 l
+206.909 90.486 l
+207.528 70.7436 l
+208.332 100.357 l
+208.888 83.9052 l
+209.136 90.486 l
+209.198 87.1956 l
+209.631 77.3244 l
+210.002 83.9052 l
+210.62 64.1628 l
+210.991 77.3244 l
+211.053 74.034 l
+211.177 67.4532 l
+211.3 74.034 l
+211.362 77.3244 l
+211.548 74.034 l
+211.733 64.1628 l
+211.857 70.7436 l
+212.475 90.486 l
+212.723 83.9052 l
+212.785 87.1956 l
+213.279 100.357 l
+213.341 97.0668 l
+213.465 103.648 l
+213.774 106.938 l
+213.96 97.0668 l
+214.145 100.357 l
+214.207 103.648 l
+214.331 97.0668 l
+214.393 93.7764 l
+214.516 100.357 l
+214.578 103.648 l
+214.702 97.0668 l
+215.011 80.6148 l
+215.135 87.1956 l
+215.32 90.486 l
+215.382 87.1956 l
+215.444 83.9052 l
+215.568 90.486 l
+215.63 93.7764 l
+215.753 87.1956 l
+215.815 83.9052 l
+215.939 90.486 l
+216.186 97.0668 l
+216.248 93.7764 l
+216.619 87.1956 l
+216.805 90.486 l
+216.866 87.1956 l
+217.423 64.1628 l
+217.485 67.4532 l
+218.103 87.1956 l
+218.474 67.4532 l
+218.66 70.7436 l
+218.846 74.034 l
+218.907 70.7436 l
+218.969 67.4532 l
+219.093 74.034 l
+219.34 80.6148 l
+219.402 77.3244 l
+219.959 60.8724 l
+220.021 64.1628 l
+220.206 60.8724 l
+220.515 57.582 l
+220.639 64.1628 l
+220.825 60.8724 l
+221.319 41.13 l
+221.381 44.4204 l
+221.629 51.0012 l
+221.69 47.7108 l
+222.123 41.13 l
+222.371 44.4204 l
+222.433 41.13 l
+222.494 41.13 l
+222.804 47.7108 l
+222.865 44.4204 l
+223.237 41.13 l
+223.422 41.13 l
+224.04 60.8724 l
+224.164 54.2916 l
+224.288 60.8724 l
+224.597 70.7436 l
+224.659 67.4532 l
+224.844 64.1628 l
+224.906 67.4532 l
+225.216 70.7436 l
+225.463 64.1628 l
+225.525 67.4532 l
+225.834 77.3244 l
+225.896 74.034 l
+226.267 67.4532 l
+227.256 106.938 l
+227.628 100.357 l
+227.689 103.648 l
+227.813 97.0668 l
+228.308 83.9052 l
+228.493 93.7764 l
+228.679 90.486 l
+229.235 74.034 l
+229.978 100.357 l
+230.349 87.1956 l
+230.411 90.486 l
+230.782 97.0668 l
+230.905 90.486 l
+231.029 97.0668 l
+231.338 100.357 l
+231.4 97.0668 l
+231.524 103.648 l
+231.833 113.519 l
+231.895 110.228 l
+231.957 106.938 l
+232.08 113.519 l
+232.575 126.68 l
+233.008 110.228 l
+233.07 113.519 l
+233.441 120.1 l
+233.75 103.648 l
+233.874 110.228 l
+234.616 136.552 l
+234.987 123.39 l
+235.049 126.68 l
+235.42 133.261 l
+235.729 123.39 l
+235.791 126.68 l
+236.1 136.552 l
+236.162 133.261 l
+236.904 106.938 l
+237.213 116.809 l
+237.275 113.519 l
+237.708 97.0668 l
+237.77 100.357 l
+237.894 106.938 l
+238.017 100.357 l
+238.76 74.034 l
+239.316 90.486 l
+239.997 67.4532 l
+240.429 77.3244 l
+240.677 64.1628 l
+240.862 67.4532 l
+241.233 74.034 l
+241.295 70.7436 l
+241.419 77.3244 l
+241.914 90.486 l
+242.347 80.6148 l
+242.47 87.1956 l
+242.594 80.6148 l
+242.965 74.034 l
+243.027 77.3244 l
+243.212 74.034 l
+243.398 70.7436 l
+243.46 74.034 l
+243.645 83.9052 l
+243.769 77.3244 l
+244.078 74.034 l
+244.759 97.0668 l
+244.82 93.7764 l
+245.006 97.0668 l
+245.377 103.648 l
+245.686 100.357 l
+246.057 106.938 l
+246.367 97.0668 l
+246.428 100.357 l
+246.861 110.228 l
+246.923 106.938 l
+247.047 113.519 l
+247.171 120.1 l
+247.294 113.519 l
+247.356 110.228 l
+247.48 116.809 l
+247.975 136.552 l
+248.036 133.261 l
+248.222 123.39 l
+248.346 129.971 l
+248.407 133.261 l
+248.531 126.68 l
+249.088 110.228 l
+249.459 123.39 l
+249.521 120.1 l
+249.644 113.519 l
+249.768 120.1 l
+250.386 139.842 l
+250.819 129.971 l
+251.252 139.842 l
+251.933 116.809 l
+252.118 120.1 l
+252.18 116.809 l
+252.304 110.228 l
+252.427 116.809 l
+252.86 126.68 l
+252.984 120.1 l
+253.108 126.68 l
+253.417 129.971 l
+253.602 126.68 l
+253.664 129.971 l
+253.726 133.261 l
+253.85 126.68 l
+253.912 123.39 l
+254.097 126.68 l
+254.221 133.261 l
+254.406 129.971 l
+254.468 126.68 l
+254.654 129.971 l
+255.025 136.552 l
+255.087 133.261 l
+255.272 136.552 l
+255.829 153.004 l
+256.076 146.423 l
+256.138 149.713 l
+256.571 166.165 l
+256.633 162.875 l
+257.128 149.713 l
+257.251 156.294 l
+257.437 153.004 l
+257.993 136.552 l
+258.426 146.423 l
+258.921 133.261 l
+258.983 136.552 l
+259.107 129.971 l
+259.601 116.809 l
+259.911 120.1 l
+260.282 113.519 l
+260.591 123.39 l
+260.653 120.1 l
+261.086 110.228 l
+261.828 136.552 l
+261.89 133.261 l
+262.013 139.842 l
+262.075 143.132 l
+262.199 136.552 l
+262.446 129.971 l
+262.508 133.261 l
+262.941 143.132 l
+263.127 139.842 l
+263.188 143.132 l
+263.312 149.713 l
+263.498 146.423 l
+264.054 129.971 l
+264.425 136.552 l
+264.487 133.261 l
+264.611 139.842 l
+264.92 149.713 l
+264.982 146.423 l
+265.229 133.261 l
+265.415 136.552 l
+265.786 156.294 l
+265.91 149.713 l
+265.971 146.423 l
+266.095 153.004 l
+266.281 156.294 l
+266.342 153.004 l
+266.528 149.713 l
+266.59 153.004 l
+267.023 169.456 l
+267.085 166.165 l
+267.146 162.875 l
+267.27 169.456 l
+267.765 182.617 l
+268.136 176.036 l
+268.445 179.327 l
+268.507 176.036 l
+268.631 182.617 l
+269.125 195.779 l
+269.373 182.617 l
+269.497 189.198 l
+269.806 192.488 l
+270.115 189.198 l
+270.61 215.521 l
+270.795 212.231 l
+270.919 205.65 l
+271.043 212.231 l
+271.29 218.812 l
+271.352 215.521 l
+271.909 199.069 l
+272.341 208.94 l
+272.527 205.65 l
+272.589 208.94 l
+272.651 212.231 l
+272.774 205.65 l
+273.207 189.198 l
+273.269 192.488 l
+273.64 205.65 l
+273.702 202.36 l
+273.764 199.069 l
+273.888 205.65 l
+274.197 208.94 l
+274.506 205.65 l
+274.568 208.94 l
+274.753 205.65 l
+275.063 202.36 l
+275.496 212.231 l
+275.557 208.94 l
+275.681 215.521 l
+275.99 225.392 l
+276.052 222.102 l
+276.361 218.812 l
+276.732 225.392 l
+276.856 218.812 l
+276.98 225.392 l
+277.042 228.683 l
+277.165 222.102 l
+277.227 218.812 l
+277.413 222.102 l
+277.722 231.973 l
+277.784 228.683 l
+277.969 225.392 l
+278.031 228.683 l
+278.093 231.973 l
+278.279 228.683 l
+278.464 225.392 l
+278.526 228.683 l
+278.897 235.264 l
+279.33 225.392 l
+279.392 228.683 l
+279.515 222.102 l
+279.639 215.521 l
+279.825 218.812 l
+279.887 222.102 l
+280.01 215.521 l
+280.258 208.94 l
+280.319 212.231 l
+280.381 215.521 l
+280.567 212.231 l
+281 202.36 l
+281.495 215.521 l
+281.927 205.65 l
+282.36 215.521 l
+282.422 212.231 l
+282.546 218.812 l
+282.917 238.554 l
+283.041 231.973 l
+283.535 218.812 l
+284.401 251.716 l
+284.896 238.554 l
+285.267 245.135 l
+285.391 238.554 l
+285.576 241.844 l
+285.947 255.006 l
+286.009 251.716 l
+286.195 248.425 l
+286.257 251.716 l
+286.442 261.587 l
+286.628 258.296 l
+286.813 255.006 l
+286.875 258.296 l
+287.061 261.587 l
+287.122 258.296 l
+287.184 255.006 l
+287.37 258.296 l
+287.617 271.458 l
+287.741 264.877 l
+288.05 255.006 l
+288.112 258.296 l
+288.545 268.168 l
+288.978 258.296 l
+289.04 261.587 l
+289.163 255.006 l
+289.72 238.554 l
+289.782 241.844 l
+289.905 235.264 l
+290.215 225.392 l
+290.276 228.683 l
+290.833 245.135 l
+291.266 235.264 l
+291.637 241.844 l
+291.699 238.554 l
+291.884 241.844 l
+292.07 245.135 l
+292.132 241.844 l
+292.256 235.264 l
+292.379 241.844 l
+292.441 245.135 l
+292.565 238.554 l
+293.245 215.521 l
+293.492 228.683 l
+293.616 222.102 l
+294.173 205.65 l
+294.606 215.521 l
+294.791 205.65 l
+294.915 212.231 l
+294.977 215.521 l
+295.162 212.231 l
+295.348 202.36 l
+295.533 205.65 l
+295.719 208.94 l
+295.781 205.65 l
+295.966 202.36 l
+296.028 205.65 l
+296.461 215.521 l
+296.585 208.94 l
+296.708 215.521 l
+297.079 222.102 l
+297.451 215.521 l
+297.883 225.392 l
+297.945 222.102 l
+298.069 228.683 l
+298.316 235.264 l
+298.378 231.973 l
+298.44 228.683 l
+298.564 235.264 l
+298.626 238.554 l
+298.811 235.264 l
+298.997 231.973 l
+299.058 235.264 l
+299.12 238.554 l
+299.244 231.973 l
+299.615 225.392 l
+299.924 228.683 l
+300.234 218.812 l
+300.295 222.102 l
+300.666 235.264 l
+300.728 231.973 l
+301.47 205.65 l
+301.532 208.94 l
+301.656 202.36 l
+301.903 195.779 l
+301.965 199.069 l
+302.398 208.94 l
+302.893 195.779 l
+303.326 205.65 l
+303.511 202.36 l
+303.573 205.65 l
+303.635 208.94 l
+303.759 202.36 l
+304.253 189.198 l
+304.315 192.488 l
+304.439 185.908 l
+304.748 176.036 l
+304.81 179.327 l
+305.49 202.36 l
+305.985 189.198 l
+306.913 231.973 l
+306.975 228.683 l
+307.593 208.94 l
+307.84 222.102 l
+308.026 218.812 l
+308.521 205.65 l
+308.644 212.231 l
+308.768 205.65 l
+309.201 195.779 l
+309.572 202.36 l
+310.005 192.488 l
+310.067 195.779 l
+310.191 189.198 l
+310.252 185.908 l
+310.438 189.198 l
+310.562 195.779 l
+310.685 189.198 l
+311.056 182.617 l
+311.489 192.488 l
+311.551 189.198 l
+311.675 195.779 l
+312.108 205.65 l
+312.231 199.069 l
+312.355 205.65 l
+312.85 225.392 l
+312.912 222.102 l
+313.407 202.36 l
+313.468 205.65 l
+313.839 212.231 l
+314.334 199.069 l
+314.891 215.521 l
+315.262 195.779 l
+315.386 202.36 l
+315.633 208.94 l
+315.695 205.65 l
+315.88 202.36 l
+315.942 205.65 l
+316.004 208.94 l
+316.19 205.65 l
+316.251 202.36 l
+316.375 208.94 l
+316.746 222.102 l
+316.808 218.812 l
+317.365 202.36 l
+317.488 208.94 l
+317.612 202.36 l
+317.674 199.069 l
+317.798 205.65 l
+318.169 212.231 l
+318.354 202.36 l
+318.478 208.94 l
+318.787 218.812 l
+318.849 215.521 l
+319.22 208.94 l
+319.591 222.102 l
+319.653 218.812 l
+319.715 215.521 l
+319.838 222.102 l
+320.395 238.554 l
+320.457 235.264 l
+320.581 241.844 l
+320.952 248.425 l
+321.446 235.264 l
+321.57 241.844 l
+321.756 238.554 l
+321.817 235.264 l
+321.941 241.844 l
+322.56 261.587 l
+322.621 258.296 l
+322.745 264.877 l
+322.807 268.168 l
+322.931 261.587 l
+323.302 241.844 l
+323.487 245.135 l
+323.858 258.296 l
+323.92 255.006 l
+324.291 241.844 l
+324.353 245.135 l
+324.415 248.425 l
+324.539 241.844 l
+324.91 235.264 l
+325.528 255.006 l
+325.837 238.554 l
+325.961 245.135 l
+326.456 258.296 l
+326.889 241.844 l
+326.951 245.135 l
+327.569 264.877 l
+327.631 261.587 l
+327.755 268.168 l
+328.064 271.458 l
+328.249 268.168 l
+328.311 271.458 l
+328.373 274.748 l
+328.497 268.168 l
+328.868 261.587 l
+328.991 268.168 l
+329.177 264.877 l
+329.734 248.425 l
+330.105 255.006 l
+330.29 251.716 l
+330.352 255.006 l
+330.661 258.296 l
+330.909 251.716 l
+330.971 255.006 l
+331.465 268.168 l
+331.713 261.587 l
+331.774 264.877 l
+332.517 297.781 l
+332.578 294.491 l
+332.64 291.2 l
+332.764 297.781 l
+333.197 307.652 l
+333.259 304.362 l
+333.444 307.652 l
+333.877 324.104 l
+333.939 320.814 l
+334.31 301.072 l
+334.434 307.652 l
+334.929 320.814 l
+335.052 314.233 l
+335.176 320.814 l
+335.238 324.104 l
+335.423 320.814 l
+335.733 304.362 l
+335.856 310.943 l
+335.98 317.524 l
+336.104 310.943 l
+336.413 301.072 l
+336.475 304.362 l
+336.969 317.524 l
+337.279 314.233 l
+337.588 324.104 l
+337.65 320.814 l
+338.021 314.233 l
+338.083 317.524 l
+338.206 310.943 l
+338.701 297.781 l
+339.381 320.814 l
+339.567 310.943 l
+339.752 314.233 l
+339.938 324.104 l
+340.062 317.524 l
+340.495 307.652 l
+340.618 314.233 l
+340.742 307.652 l
+340.928 297.781 l
+341.051 304.362 l
+341.175 310.943 l
+341.36 307.652 l
+341.855 294.491 l
+341.917 297.781 l
+342.041 291.2 l
+342.536 278.039 l
+342.845 287.91 l
+342.907 284.62 l
+342.968 281.329 l
+343.092 287.91 l
+343.401 297.781 l
+343.463 294.491 l
+343.525 291.2 l
+343.649 297.781 l
+344.267 317.524 l
+344.329 314.233 l
+344.453 320.814 l
+344.576 327.395 l
+344.7 320.814 l
+344.947 307.652 l
+345.133 310.943 l
+345.442 314.233 l
+345.504 310.943 l
+345.628 317.524 l
+345.875 324.104 l
+345.937 320.814 l
+346.494 304.362 l
+346.679 314.233 l
+346.865 310.943 l
+346.988 304.362 l
+347.174 307.652 l
+347.669 320.814 l
+347.792 314.233 l
+347.916 320.814 l
+348.72 350.428 l
+348.782 347.137 l
+348.967 350.428 l
+349.586 370.17 l
+349.586 370.17 l
+stroke
+grestore
+0.000 0.500 0.000 setrgbcolor
+gsave
+556.6 329 89.77 41.13 clipbox
+89.775 205.65 m
+89.8368 208.94 l
+90.0842 208.94 l
+90.2079 202.36 l
+90.3316 208.94 l
+90.8264 222.102 l
+91.5067 192.488 l
+91.5685 195.779 l
+91.8159 202.36 l
+91.8777 199.069 l
+91.9396 195.779 l
+92.0633 202.36 l
+92.1251 205.65 l
+92.2488 199.069 l
+92.558 195.779 l
+92.8672 199.069 l
+93.3002 182.617 l
+93.362 185.908 l
+93.5475 189.198 l
+93.6094 185.908 l
+94.1041 166.165 l
+94.166 169.456 l
+94.4134 176.036 l
+94.4752 172.746 l
+94.7226 166.165 l
+94.7844 169.456 l
+95.341 192.488 l
+95.4029 189.198 l
+95.5266 182.617 l
+95.6503 189.198 l
+95.8358 199.069 l
+96.0213 195.779 l
+96.6398 169.456 l
+96.7016 172.746 l
+96.949 179.327 l
+97.0109 176.036 l
+97.0727 172.746 l
+97.2582 176.036 l
+97.6912 185.908 l
+97.753 182.617 l
+97.8767 189.198 l
+98.3715 202.36 l
+98.4951 195.779 l
+98.6188 202.36 l
+98.9281 205.65 l
+98.9899 202.36 l
+99.1754 205.65 l
+99.7939 231.973 l
+99.8557 228.683 l
+100.289 218.812 l
+100.35 222.102 l
+100.474 215.521 l
+100.783 205.65 l
+100.845 208.94 l
+101.154 212.231 l
+101.526 205.65 l
+101.649 212.231 l
+101.773 205.65 l
+101.835 202.36 l
+101.958 208.94 l
+102.144 218.812 l
+102.268 212.231 l
+102.762 199.069 l
+103.072 202.36 l
+103.443 195.779 l
+103.566 202.36 l
+103.752 199.069 l
+104.061 195.779 l
+104.185 202.36 l
+104.309 195.779 l
+104.741 179.327 l
+104.803 182.617 l
+104.865 185.908 l
+104.989 179.327 l
+105.298 176.036 l
+105.607 185.908 l
+105.669 182.617 l
+105.793 176.036 l
+105.978 179.327 l
+106.349 192.488 l
+106.411 189.198 l
+106.597 179.327 l
+106.721 185.908 l
+106.782 189.198 l
+106.906 182.617 l
+107.463 166.165 l
+107.896 176.036 l
+107.957 172.746 l
+108.081 179.327 l
+108.143 182.617 l
+108.267 176.036 l
+108.328 172.746 l
+108.514 176.036 l
+108.7 179.327 l
+108.761 176.036 l
+109.442 153.004 l
+109.875 162.875 l
+110.246 156.294 l
+110.74 169.456 l
+110.926 166.165 l
+110.988 169.456 l
+111.421 179.327 l
+111.606 176.036 l
+111.668 179.327 l
+111.916 192.488 l
+112.101 189.198 l
+112.781 159.584 l
+112.843 162.875 l
+113.276 172.746 l
+113.338 169.456 l
+113.462 176.036 l
+113.895 185.908 l
+114.204 182.617 l
+114.575 195.779 l
+114.637 192.488 l
+115.008 185.908 l
+115.441 195.779 l
+115.688 189.198 l
+115.75 192.488 l
+115.874 199.069 l
+115.997 192.488 l
+116.307 182.617 l
+116.368 185.908 l
+116.616 192.488 l
+116.678 189.198 l
+116.863 179.327 l
+116.987 185.908 l
+117.42 202.36 l
+117.482 199.069 l
+117.543 195.779 l
+117.729 199.069 l
+117.853 205.65 l
+118.038 202.36 l
+118.471 192.488 l
+118.904 208.94 l
+118.966 205.65 l
+119.028 202.36 l
+119.213 205.65 l
+119.584 212.231 l
+119.955 192.488 l
+120.079 199.069 l
+120.326 212.231 l
+120.45 205.65 l
+120.512 202.36 l
+120.636 208.94 l
+120.697 212.231 l
+120.821 205.65 l
+121.378 189.198 l
+121.625 195.779 l
+121.687 192.488 l
+121.934 185.908 l
+121.996 189.198 l
+122.305 192.488 l
+122.615 176.036 l
+122.738 182.617 l
+123.109 189.198 l
+123.419 179.327 l
+123.481 182.617 l
+123.542 185.908 l
+123.728 182.617 l
+123.975 176.036 l
+124.037 179.327 l
+124.099 182.617 l
+124.223 176.036 l
+124.903 153.004 l
+125.274 159.584 l
+125.398 153.004 l
+125.521 159.584 l
+126.078 176.036 l
+126.14 172.746 l
+126.264 179.327 l
+126.635 192.488 l
+126.696 189.198 l
+126.758 185.908 l
+126.882 192.488 l
+127.562 215.521 l
+127.81 208.94 l
+127.872 212.231 l
+128.676 241.844 l
+128.923 228.683 l
+129.047 235.264 l
+129.479 245.135 l
+129.541 241.844 l
+129.665 248.425 l
+130.098 258.296 l
+130.16 255.006 l
+130.345 258.296 l
+131.087 284.62 l
+131.335 271.458 l
+131.459 278.039 l
+131.953 291.2 l
+132.077 284.62 l
+132.263 287.91 l
+132.324 291.2 l
+132.448 284.62 l
+132.51 281.329 l
+132.634 287.91 l
+132.943 297.781 l
+133.005 294.491 l
+133.561 278.039 l
+133.747 287.91 l
+133.87 281.329 l
+134.242 274.748 l
+134.427 278.039 l
+134.489 274.748 l
+134.86 261.587 l
+134.922 264.877 l
+135.54 284.62 l
+135.602 281.329 l
+135.788 284.62 l
+135.85 287.91 l
+135.973 281.329 l
+136.035 278.039 l
+136.221 281.329 l
+136.654 291.2 l
+137.519 258.296 l
+137.89 264.877 l
+138.261 258.296 l
+138.509 264.877 l
+138.571 261.587 l
+138.633 258.296 l
+138.756 264.877 l
+138.818 268.168 l
+138.942 261.587 l
+139.251 251.716 l
+139.313 255.006 l
+139.56 261.587 l
+139.622 258.296 l
+139.808 255.006 l
+139.869 258.296 l
+140.117 264.877 l
+140.179 261.587 l
+140.612 238.554 l
+140.735 245.135 l
+141.539 274.748 l
+141.601 271.458 l
+141.725 278.039 l
+142.034 281.329 l
+142.467 271.458 l
+142.776 274.748 l
+143.209 264.877 l
+143.642 281.329 l
+143.704 278.039 l
+143.889 274.748 l
+143.951 278.039 l
+144.384 287.91 l
+144.57 278.039 l
+144.693 284.62 l
+144.755 287.91 l
+144.941 284.62 l
+145.003 281.329 l
+145.126 287.91 l
+145.435 291.2 l
+145.93 278.039 l
+146.116 287.91 l
+146.239 281.329 l
+146.425 271.458 l
+146.611 274.748 l
+147.043 291.2 l
+147.105 287.91 l
+147.167 284.62 l
+147.291 291.2 l
+147.909 310.943 l
+148.219 294.491 l
+148.404 297.781 l
+148.899 310.943 l
+149.332 301.072 l
+149.517 304.362 l
+149.579 301.072 l
+149.703 294.491 l
+149.888 297.781 l
+150.259 304.362 l
+150.816 281.329 l
+150.878 284.62 l
+151.249 297.781 l
+151.311 294.491 l
+151.558 287.91 l
+151.62 291.2 l
+151.682 294.491 l
+151.806 287.91 l
+151.929 281.329 l
+152.053 287.91 l
+152.3 294.491 l
+152.362 291.2 l
+152.671 274.748 l
+152.857 278.039 l
+153.228 284.62 l
+153.599 278.039 l
+153.97 284.62 l
+154.279 281.329 l
+154.465 284.62 l
+154.527 281.329 l
+154.589 278.039 l
+154.712 284.62 l
+154.774 287.91 l
+154.898 281.329 l
+155.207 271.458 l
+155.269 274.748 l
+155.516 281.329 l
+155.578 278.039 l
+156.135 261.587 l
+156.258 268.168 l
+156.382 261.587 l
+156.629 248.425 l
+156.753 255.006 l
+156.815 258.296 l
+156.939 251.716 l
+157.31 245.135 l
+157.557 258.296 l
+157.681 251.716 l
+158.052 245.135 l
+158.114 248.425 l
+158.299 245.135 l
+158.67 238.554 l
+158.856 248.425 l
+158.98 241.844 l
+159.289 231.973 l
+159.351 235.264 l
+159.474 241.844 l
+159.598 235.264 l
+160.031 225.392 l
+160.773 251.716 l
+161.144 245.135 l
+161.453 255.006 l
+161.515 251.716 l
+161.577 248.425 l
+161.763 251.716 l
+161.948 255.006 l
+162.01 251.716 l
+162.567 235.264 l
+162.628 238.554 l
+162.752 231.973 l
+162.876 225.392 l
+163.061 228.683 l
+163.494 238.554 l
+163.865 231.973 l
+164.236 238.554 l
+164.484 231.973 l
+164.546 235.264 l
+164.669 241.844 l
+164.793 235.264 l
+164.855 231.973 l
+164.979 238.554 l
+165.35 245.135 l
+165.844 231.973 l
+166.586 258.296 l
+166.648 255.006 l
+166.834 258.296 l
+166.896 261.587 l
+167.019 255.006 l
+167.329 238.554 l
+167.514 241.844 l
+168.256 268.168 l
+168.318 264.877 l
+168.442 271.458 l
+168.627 281.329 l
+168.751 274.748 l
+168.813 271.458 l
+168.937 278.039 l
+169.308 284.62 l
+169.555 278.039 l
+169.617 281.329 l
+170.235 301.072 l
+170.421 297.781 l
+170.483 301.072 l
+170.545 304.362 l
+170.668 297.781 l
+171.287 278.039 l
+171.596 287.91 l
+171.658 284.62 l
+172.091 274.748 l
+172.153 278.039 l
+172.338 274.748 l
+172.462 268.168 l
+172.647 271.458 l
+173.018 278.039 l
+173.204 268.168 l
+173.328 274.748 l
+173.451 281.329 l
+173.575 274.748 l
+174.132 258.296 l
+174.193 261.587 l
+174.317 255.006 l
+174.379 251.716 l
+174.564 255.006 l
+174.874 264.877 l
+174.936 261.587 l
+175.059 255.006 l
+175.183 261.587 l
+175.245 264.877 l
+175.43 261.587 l
+175.863 238.554 l
+175.987 245.135 l
+176.605 264.877 l
+177.162 248.425 l
+177.286 255.006 l
+177.471 251.716 l
+177.719 245.135 l
+177.78 248.425 l
+177.966 251.716 l
+178.028 248.425 l
+178.275 241.844 l
+178.337 245.135 l
+178.832 258.296 l
+178.894 255.006 l
+179.017 261.587 l
+179.079 264.877 l
+179.265 261.587 l
+179.327 258.296 l
+179.512 261.587 l
+179.759 268.168 l
+179.821 264.877 l
+180.44 245.135 l
+180.502 248.425 l
+180.687 245.135 l
+180.935 238.554 l
+180.996 241.844 l
+181.058 245.135 l
+181.182 238.554 l
+181.244 235.264 l
+181.429 238.554 l
+181.491 241.844 l
+181.615 235.264 l
+181.677 231.973 l
+181.862 235.264 l
+182.048 245.135 l
+182.171 238.554 l
+182.666 225.392 l
+182.975 228.683 l
+183.223 215.521 l
+183.408 218.812 l
+183.903 231.973 l
+184.336 222.102 l
+184.831 235.264 l
+184.893 231.973 l
+185.016 238.554 l
+185.573 255.006 l
+185.82 248.425 l
+185.882 251.716 l
+185.944 255.006 l
+186.068 248.425 l
+186.377 245.135 l
+186.501 251.716 l
+186.624 245.135 l
+187.923 189.198 l
+188.541 208.94 l
+188.665 202.36 l
+188.851 205.65 l
+189.036 208.94 l
+189.098 205.65 l
+189.407 195.779 l
+189.469 199.069 l
+189.717 205.65 l
+189.778 202.36 l
+190.211 185.908 l
+190.273 189.198 l
+190.335 192.488 l
+190.459 185.908 l
+190.768 182.617 l
+191.015 195.779 l
+191.139 189.198 l
+191.819 166.165 l
+191.881 169.456 l
+192.005 162.875 l
+192.067 159.584 l
+192.19 166.165 l
+192.252 169.456 l
+192.438 166.165 l
+192.561 159.584 l
+192.685 166.165 l
+192.932 172.746 l
+192.994 169.456 l
+193.056 166.165 l
+193.18 172.746 l
+193.242 176.036 l
+193.365 169.456 l
+193.613 162.875 l
+193.675 166.165 l
+193.86 176.036 l
+194.046 172.746 l
+194.602 156.294 l
+194.911 159.584 l
+195.283 146.423 l
+195.344 149.713 l
+195.654 159.584 l
+195.715 156.294 l
+195.963 149.713 l
+196.025 153.004 l
+196.272 159.584 l
+196.334 156.294 l
+196.396 153.004 l
+196.519 159.584 l
+196.952 169.456 l
+197.509 153.004 l
+197.818 156.294 l
+198.251 146.423 l
+198.56 156.294 l
+198.622 153.004 l
+198.993 146.423 l
+199.364 159.584 l
+199.426 156.294 l
+199.797 149.713 l
+199.921 156.294 l
+200.106 153.004 l
+200.354 139.842 l
+200.478 146.423 l
+200.725 153.004 l
+200.787 149.713 l
+201.22 139.842 l
+201.405 143.132 l
+201.467 139.842 l
+201.776 129.971 l
+201.838 133.261 l
+202.271 149.713 l
+202.333 146.423 l
+202.518 136.552 l
+202.704 139.842 l
+203.199 153.004 l
+203.57 146.423 l
+203.941 153.004 l
+204.312 139.842 l
+204.374 143.132 l
+204.436 146.423 l
+204.559 139.842 l
+204.992 129.971 l
+205.054 133.261 l
+205.24 129.971 l
+205.92 106.938 l
+205.982 110.228 l
+206.105 103.648 l
+206.6 90.486 l
+207.281 113.519 l
+207.342 110.228 l
+207.528 113.519 l
+207.59 116.809 l
+207.713 110.228 l
+207.775 106.938 l
+207.961 110.228 l
+208.641 133.261 l
+209.012 126.68 l
+209.074 129.971 l
+209.198 123.39 l
+209.445 116.809 l
+209.507 120.1 l
+209.569 123.39 l
+209.692 116.809 l
+210.064 110.228 l
+210.496 120.1 l
+211.053 103.648 l
+211.424 110.228 l
+212.043 90.486 l
+212.29 103.648 l
+212.414 97.0668 l
+212.908 83.9052 l
+213.279 90.486 l
+213.712 80.6148 l
+213.96 93.7764 l
+214.083 87.1956 l
+214.516 70.7436 l
+214.578 74.034 l
+214.887 83.9052 l
+214.949 80.6148 l
+215.073 74.034 l
+215.197 80.6148 l
+215.32 87.1956 l
+215.506 83.9052 l
+215.691 74.034 l
+215.815 80.6148 l
+216.186 93.7764 l
+216.248 90.486 l
+216.372 83.9052 l
+216.557 87.1956 l
+216.743 90.486 l
+216.805 87.1956 l
+217.238 77.3244 l
+217.299 80.6148 l
+217.423 74.034 l
+218.042 54.2916 l
+218.103 57.582 l
+218.289 54.2916 l
+218.351 51.0012 l
+218.474 57.582 l
+218.846 64.1628 l
+219.155 54.2916 l
+219.217 57.582 l
+219.278 60.8724 l
+219.402 54.2916 l
+219.959 41.13 l
+220.021 41.13 l
+220.392 54.2916 l
+220.453 51.0012 l
+220.515 47.7108 l
+220.639 54.2916 l
+220.886 60.8724 l
+220.948 57.582 l
+221.381 47.7108 l
+221.443 51.0012 l
+221.629 47.7108 l
+221.69 44.4204 l
+221.814 51.0012 l
+222.556 77.3244 l
+222.742 74.034 l
+222.804 77.3244 l
+223.731 113.519 l
+223.979 106.938 l
+224.04 110.228 l
+224.412 116.809 l
+224.844 100.357 l
+224.906 103.648 l
+224.968 106.938 l
+225.154 103.648 l
+225.216 100.357 l
+225.339 106.938 l
+225.401 110.228 l
+225.587 106.938 l
+225.834 93.7764 l
+226.02 97.0668 l
+226.824 126.68 l
+227.256 116.809 l
+227.318 120.1 l
+227.442 113.519 l
+227.566 106.938 l
+227.751 110.228 l
+228.184 126.68 l
+228.246 123.39 l
+228.308 120.1 l
+228.431 126.68 l
+229.112 149.713 l
+229.235 143.132 l
+229.359 149.713 l
+229.73 156.294 l
+230.101 149.713 l
+230.163 153.004 l
+230.287 146.423 l
+230.72 136.552 l
+231.153 153.004 l
+231.215 149.713 l
+231.276 146.423 l
+231.462 149.713 l
+232.08 169.456 l
+232.142 166.165 l
+232.328 169.456 l
+232.699 176.036 l
+233.255 159.584 l
+233.441 162.875 l
+233.503 159.584 l
+233.874 146.423 l
+233.936 149.713 l
+234.245 153.004 l
+234.678 136.552 l
+234.74 139.842 l
+235.049 149.713 l
+235.111 146.423 l
+235.606 133.261 l
+235.915 136.552 l
+236.348 126.68 l
+236.657 129.971 l
+236.719 126.68 l
+236.842 133.261 l
+237.09 139.842 l
+237.152 136.552 l
+237.461 133.261 l
+237.77 136.552 l
+237.956 126.68 l
+238.141 129.971 l
+238.327 139.842 l
+238.512 136.552 l
+238.821 133.261 l
+238.945 139.842 l
+239.131 136.552 l
+239.378 129.971 l
+239.44 133.261 l
+239.502 136.552 l
+239.687 133.261 l
+239.873 123.39 l
+240.058 126.68 l
+240.12 129.971 l
+240.244 123.39 l
+240.368 116.809 l
+240.553 120.1 l
+240.615 123.39 l
+240.8 120.1 l
+240.862 116.809 l
+241.048 120.1 l
+241.481 129.971 l
+241.543 126.68 l
+241.728 129.971 l
+242.161 146.423 l
+242.223 143.132 l
+242.78 126.68 l
+243.089 129.971 l
+243.46 123.39 l
+243.893 133.261 l
+244.016 126.68 l
+244.14 133.261 l
+244.202 136.552 l
+244.326 129.971 l
+244.449 123.39 l
+244.573 129.971 l
+244.82 136.552 l
+244.882 133.261 l
+245.006 126.68 l
+245.191 129.971 l
+245.81 149.713 l
+246.181 143.132 l
+246.614 153.004 l
+246.676 149.713 l
+246.799 156.294 l
+247.171 162.875 l
+247.232 159.584 l
+247.356 166.165 l
+247.727 172.746 l
+247.789 169.456 l
+247.913 176.036 l
+248.531 195.779 l
+248.84 192.488 l
+248.902 195.779 l
+249.026 189.198 l
+249.088 185.908 l
+249.273 189.198 l
+249.335 192.488 l
+249.521 189.198 l
+249.582 185.908 l
+249.768 189.198 l
+249.83 192.488 l
+250.015 189.198 l
+250.819 159.584 l
+250.881 162.875 l
+251.067 159.584 l
+251.5 143.132 l
+251.562 146.423 l
+251.623 149.713 l
+251.747 143.132 l
+251.933 139.842 l
+251.994 143.132 l
+252.304 146.423 l
+252.613 136.552 l
+252.675 139.842 l
+252.984 156.294 l
+253.108 149.713 l
+253.293 146.423 l
+253.355 149.713 l
+253.664 166.165 l
+253.788 159.584 l
+253.85 156.294 l
+254.035 159.584 l
+254.097 162.875 l
+254.221 156.294 l
+254.345 149.713 l
+254.468 156.294 l
+254.592 162.875 l
+254.777 159.584 l
+255.272 146.423 l
+255.334 149.713 l
+255.52 146.423 l
+255.767 139.842 l
+255.829 143.132 l
+256.262 153.004 l
+256.571 143.132 l
+256.633 146.423 l
+256.695 149.713 l
+256.88 146.423 l
+256.942 143.132 l
+257.128 146.423 l
+257.313 149.713 l
+257.375 146.423 l
+258.055 123.39 l
+258.612 139.842 l
+258.983 133.261 l
+259.107 139.842 l
+259.292 136.552 l
+259.54 129.971 l
+259.601 133.261 l
+259.663 136.552 l
+259.787 129.971 l
+259.911 123.39 l
+260.096 126.68 l
+260.158 129.971 l
+260.282 123.39 l
+260.529 116.809 l
+260.591 120.1 l
+261.209 146.423 l
+261.271 143.132 l
+261.89 123.39 l
+262.323 133.261 l
+262.508 129.971 l
+262.57 133.261 l
+262.941 139.842 l
+263.188 126.68 l
+263.374 129.971 l
+263.745 136.552 l
+264.054 133.261 l
+264.425 139.842 l
+264.796 133.261 l
+264.858 136.552 l
+264.982 129.971 l
+265.291 126.68 l
+265.353 129.971 l
+265.477 123.39 l
+265.538 120.1 l
+265.724 123.39 l
+265.91 133.261 l
+266.095 129.971 l
+266.157 126.68 l
+266.281 133.261 l
+266.528 139.842 l
+266.59 136.552 l
+266.899 133.261 l
+267.146 146.423 l
+267.332 143.132 l
+267.95 123.39 l
+268.445 136.552 l
+269.002 120.1 l
+269.249 126.68 l
+269.311 123.39 l
+269.744 113.519 l
+269.806 116.809 l
+269.929 110.228 l
+270.486 93.7764 l
+270.919 103.648 l
+271.29 97.0668 l
+271.537 103.648 l
+271.599 100.357 l
+271.909 97.0668 l
+272.032 103.648 l
+272.156 97.0668 l
+272.465 87.1956 l
+272.527 90.486 l
+272.836 93.7764 l
+273.145 77.3244 l
+273.331 80.6148 l
+273.516 90.486 l
+273.702 87.1956 l
+274.073 80.6148 l
+274.506 97.0668 l
+274.568 93.7764 l
+274.692 87.1956 l
+274.815 93.7764 l
+275.248 103.648 l
+275.805 87.1956 l
+276.052 93.7764 l
+276.114 90.486 l
+276.732 70.7436 l
+277.227 90.486 l
+277.289 87.1956 l
+277.351 83.9052 l
+277.536 87.1956 l
+277.969 103.648 l
+278.031 100.357 l
+278.093 97.0668 l
+278.279 100.357 l
+278.34 103.648 l
+278.526 100.357 l
+278.65 93.7764 l
+278.773 100.357 l
+279.454 123.39 l
+279.515 120.1 l
+279.639 126.68 l
+279.825 136.552 l
+279.948 129.971 l
+280.443 116.809 l
+281.123 139.842 l
+281.371 133.261 l
+281.433 136.552 l
+281.742 146.423 l
+281.804 143.132 l
+282.051 136.552 l
+282.113 139.842 l
+282.237 146.423 l
+282.422 143.132 l
+283.041 123.39 l
+283.102 126.68 l
+283.226 120.1 l
+283.288 116.809 l
+283.412 123.39 l
+283.474 126.68 l
+283.659 123.39 l
+283.721 120.1 l
+283.845 126.68 l
+284.092 133.261 l
+284.154 129.971 l
+284.649 116.809 l
+284.772 123.39 l
+284.958 120.1 l
+285.329 106.938 l
+285.391 110.228 l
+285.947 126.68 l
+286.442 113.519 l
+286.937 126.68 l
+287.308 113.519 l
+287.37 116.809 l
+287.741 123.39 l
+287.926 120.1 l
+287.988 123.39 l
+288.669 146.423 l
+288.978 143.132 l
+289.225 156.294 l
+289.349 149.713 l
+289.596 143.132 l
+289.658 146.423 l
+289.782 153.004 l
+289.905 146.423 l
+290.462 123.39 l
+290.524 126.68 l
+290.586 129.971 l
+290.709 123.39 l
+291.266 106.938 l
+292.07 136.552 l
+292.503 126.68 l
+292.998 139.842 l
+293.307 136.552 l
+293.492 139.842 l
+293.554 136.552 l
+293.678 129.971 l
+293.863 133.261 l
+293.987 139.842 l
+294.111 133.261 l
+294.358 120.1 l
+294.544 123.39 l
+294.729 133.261 l
+294.853 126.68 l
+295.595 100.357 l
+296.275 129.971 l
+296.337 126.68 l
+296.647 123.39 l
+296.832 126.68 l
+296.894 123.39 l
+297.203 106.938 l
+297.389 110.228 l
+298.007 136.552 l
+298.069 133.261 l
+298.131 129.971 l
+298.254 136.552 l
+298.502 143.132 l
+298.564 139.842 l
+298.626 136.552 l
+298.749 143.132 l
+299.306 166.165 l
+299.368 162.875 l
+299.739 149.713 l
+299.801 153.004 l
+300.048 159.584 l
+300.11 156.294 l
+300.172 153.004 l
+300.295 159.584 l
+300.852 176.036 l
+301.532 153.004 l
+301.718 156.294 l
+301.78 153.004 l
+302.089 149.713 l
+302.151 153.004 l
+302.336 149.713 l
+302.46 143.132 l
+302.645 146.423 l
+302.769 153.004 l
+302.893 146.423 l
+303.078 136.552 l
+303.264 139.842 l
+303.697 149.713 l
+304.13 139.842 l
+304.439 149.713 l
+304.501 146.423 l
+304.81 136.552 l
+304.872 139.842 l
+305.305 149.713 l
+305.676 143.132 l
+306.171 162.875 l
+306.233 159.584 l
+306.604 153.004 l
+306.913 169.456 l
+307.036 162.875 l
+307.222 159.584 l
+307.284 162.875 l
+307.902 182.617 l
+307.964 179.327 l
+308.15 182.617 l
+308.335 185.908 l
+308.397 182.617 l
+308.583 172.746 l
+308.768 176.036 l
+308.954 185.908 l
+309.077 179.327 l
+309.139 176.036 l
+309.325 179.327 l
+309.634 189.198 l
+309.696 185.908 l
+310.067 172.746 l
+310.129 176.036 l
+310.747 195.779 l
+311.118 182.617 l
+311.18 185.908 l
+311.242 189.198 l
+311.427 185.908 l
+311.737 176.036 l
+311.799 179.327 l
+311.984 182.617 l
+312.046 179.327 l
+312.231 176.036 l
+312.293 179.327 l
+312.541 185.908 l
+312.603 182.617 l
+313.159 166.165 l
+313.345 169.456 l
+313.407 166.165 l
+313.53 159.584 l
+313.654 166.165 l
+313.778 172.746 l
+313.901 166.165 l
+314.211 162.875 l
+314.582 169.456 l
+315.076 156.294 l
+315.2 162.875 l
+315.386 159.584 l
+316.128 126.68 l
+316.19 129.971 l
+316.499 133.261 l
+316.684 123.39 l
+316.808 129.971 l
+317.303 149.713 l
+317.365 146.423 l
+317.736 133.261 l
+317.798 136.552 l
+318.169 143.132 l
+318.292 136.552 l
+318.416 143.132 l
+318.787 156.294 l
+318.849 153.004 l
+318.911 149.713 l
+319.096 153.004 l
+319.22 159.584 l
+319.344 153.004 l
+319.467 146.423 l
+319.653 149.713 l
+319.838 159.584 l
+319.962 153.004 l
+320.271 149.713 l
+320.395 156.294 l
+320.519 149.713 l
+320.952 133.261 l
+321.013 136.552 l
+321.075 139.842 l
+321.199 133.261 l
+321.261 129.971 l
+321.385 136.552 l
+322.003 156.294 l
+322.56 139.842 l
+323.054 159.584 l
+323.116 156.294 l
+323.425 146.423 l
+323.487 149.713 l
+323.549 153.004 l
+323.735 149.713 l
+324.044 139.842 l
+324.106 143.132 l
+324.415 153.004 l
+324.477 149.713 l
+324.539 146.423 l
+324.724 149.713 l
+325.033 153.004 l
+325.095 149.713 l
+325.219 156.294 l
+325.714 169.456 l
+326.394 146.423 l
+326.951 162.875 l
+327.136 159.584 l
+327.198 162.875 l
+327.445 176.036 l
+327.569 169.456 l
+327.631 166.165 l
+327.755 172.746 l
+327.94 176.036 l
+328.002 172.746 l
+328.064 169.456 l
+328.187 176.036 l
+328.559 182.617 l
+328.682 176.036 l
+328.806 182.617 l
+329.115 192.488 l
+329.177 189.198 l
+329.486 185.908 l
+329.548 189.198 l
+329.734 185.908 l
+329.919 182.617 l
+329.981 185.908 l
+330.043 189.198 l
+330.167 182.617 l
+330.29 176.036 l
+330.476 179.327 l
+330.847 185.908 l
+331.032 182.617 l
+331.094 185.908 l
+331.713 205.65 l
+332.146 195.779 l
+332.269 202.36 l
+332.393 195.779 l
+332.826 179.327 l
+332.888 182.617 l
+333.568 205.65 l
+333.692 199.069 l
+333.815 205.65 l
+334.186 212.231 l
+334.681 199.069 l
+334.929 212.231 l
+335.052 205.65 l
+335.485 195.779 l
+335.671 205.65 l
+335.794 199.069 l
+335.856 195.779 l
+335.98 202.36 l
+336.042 205.65 l
+336.165 199.069 l
+336.846 176.036 l
+337.217 182.617 l
+337.402 179.327 l
+337.464 182.617 l
+337.959 202.36 l
+338.021 199.069 l
+338.454 189.198 l
+338.639 192.488 l
+338.701 189.198 l
+339.134 179.327 l
+339.629 192.488 l
+339.814 182.617 l
+339.938 189.198 l
+340.124 199.069 l
+340.247 192.488 l
+340.618 185.908 l
+340.68 189.198 l
+340.804 182.617 l
+341.113 179.327 l
+341.484 192.488 l
+341.546 189.198 l
+341.855 185.908 l
+342.164 195.779 l
+342.226 192.488 l
+342.412 182.617 l
+342.536 189.198 l
+342.907 195.779 l
+343.278 189.198 l
+343.711 199.069 l
+343.772 195.779 l
+343.896 202.36 l
+343.958 205.65 l
+344.082 199.069 l
+344.576 179.327 l
+344.638 182.617 l
+344.7 185.908 l
+344.824 179.327 l
+345.442 159.584 l
+346.246 189.198 l
+346.432 179.327 l
+346.555 185.908 l
+346.617 189.198 l
+346.741 182.617 l
+346.927 179.327 l
+346.988 182.617 l
+347.05 185.908 l
+347.236 182.617 l
+347.607 176.036 l
+348.102 189.198 l
+348.225 182.617 l
+348.349 189.198 l
+348.473 195.779 l
+348.596 189.198 l
+349.029 179.327 l
+349.091 182.617 l
+349.215 176.036 l
+349.771 159.584 l
+349.833 162.875 l
+350.019 159.584 l
+350.452 149.713 l
+350.514 153.004 l
+350.699 149.713 l
+351.194 129.971 l
+351.256 133.261 l
+351.689 143.132 l
+351.998 133.261 l
+352.06 136.552 l
+352.183 143.132 l
+352.307 136.552 l
+352.678 129.971 l
+353.173 149.713 l
+353.235 146.423 l
+353.668 136.552 l
+353.729 139.842 l
+353.853 133.261 l
+354.348 120.1 l
+354.843 133.261 l
+355.214 120.1 l
+355.276 123.39 l
+355.647 129.971 l
+356.018 116.809 l
+356.08 120.1 l
+356.141 123.39 l
+356.265 116.809 l
+356.512 110.228 l
+356.574 113.519 l
+356.76 116.809 l
+356.822 113.519 l
+357.688 80.6148 l
+358.182 93.7764 l
+358.677 80.6148 l
+358.924 87.1956 l
+358.986 83.9052 l
+359.481 70.7436 l
+359.728 83.9052 l
+359.852 77.3244 l
+360.409 60.8724 l
+360.471 64.1628 l
+360.594 57.582 l
+360.903 54.2916 l
+361.275 67.4532 l
+361.336 64.1628 l
+361.769 54.2916 l
+362.14 67.4532 l
+362.202 64.1628 l
+362.264 60.8724 l
+362.388 67.4532 l
+362.883 80.6148 l
+363.377 67.4532 l
+363.501 74.034 l
+363.625 67.4532 l
+364.119 54.2916 l
+364.243 60.8724 l
+364.429 57.582 l
+364.923 44.4204 l
+365.233 47.7108 l
+365.294 44.4204 l
+365.418 51.0012 l
+365.48 54.2916 l
+365.604 47.7108 l
+365.666 44.4204 l
+365.789 51.0012 l
+366.47 80.6148 l
+366.531 77.3244 l
+366.717 67.4532 l
+366.841 74.034 l
+366.902 77.3244 l
+367.088 74.034 l
+367.645 57.582 l
+368.139 70.7436 l
+368.572 60.8724 l
+369.129 77.3244 l
+369.191 74.034 l
+369.314 80.6148 l
+369.438 87.1956 l
+369.624 83.9052 l
+369.871 77.3244 l
+369.933 80.6148 l
+370.057 87.1956 l
+370.18 80.6148 l
+370.551 67.4532 l
+370.613 70.7436 l
+370.675 74.034 l
+370.861 70.7436 l
+371.355 51.0012 l
+371.417 54.2916 l
+371.479 57.582 l
+371.603 51.0012 l
+372.097 41.13 l
+372.221 47.7108 l
+372.407 44.4204 l
+372.778 41.13 l
+373.025 47.7108 l
+373.087 44.4204 l
+373.396 41.13 l
+373.705 44.4204 l
+374.076 41.13 l
+374.571 54.2916 l
+374.695 47.7108 l
+374.819 54.2916 l
+374.942 60.8724 l
+375.066 54.2916 l
+375.128 51.0012 l
+375.252 57.582 l
+375.437 67.4532 l
+375.561 60.8724 l
+375.623 57.582 l
+375.746 64.1628 l
+376.179 74.034 l
+376.241 70.7436 l
+376.365 77.3244 l
+376.427 80.6148 l
+376.55 74.034 l
+377.045 60.8724 l
+377.416 67.4532 l
+377.54 60.8724 l
+377.725 64.1628 l
+378.406 87.1956 l
+379.024 67.4532 l
+379.086 70.7436 l
+379.271 67.4532 l
+379.457 57.582 l
+379.581 64.1628 l
+380.137 80.6148 l
+380.447 70.7436 l
+380.508 74.034 l
+380.694 83.9052 l
+380.818 77.3244 l
+381.25 67.4532 l
+381.312 70.7436 l
+381.498 67.4532 l
+381.56 64.1628 l
+381.683 70.7436 l
+381.931 77.3244 l
+381.993 74.034 l
+382.116 67.4532 l
+382.302 70.7436 l
+382.673 77.3244 l
+382.982 67.4532 l
+383.044 70.7436 l
+383.168 77.3244 l
+383.291 70.7436 l
+383.477 60.8724 l
+383.601 67.4532 l
+384.281 90.486 l
+384.405 83.9052 l
+384.528 90.486 l
+384.59 93.7764 l
+384.776 90.486 l
+385.023 77.3244 l
+385.209 80.6148 l
+385.456 87.1956 l
+385.518 83.9052 l
+385.58 80.6148 l
+385.703 87.1956 l
+386.013 97.0668 l
+386.074 93.7764 l
+386.384 83.9052 l
+386.445 87.1956 l
+386.569 93.7764 l
+386.755 90.486 l
+387.126 77.3244 l
+387.188 80.6148 l
+387.435 87.1956 l
+387.497 83.9052 l
+387.559 80.6148 l
+387.682 87.1956 l
+387.806 93.7764 l
+387.93 87.1956 l
+388.115 83.9052 l
+388.177 87.1956 l
+388.425 100.357 l
+388.548 93.7764 l
+388.672 87.1956 l
+388.857 90.486 l
+389.105 97.0668 l
+389.167 93.7764 l
+389.414 87.1956 l
+389.476 90.486 l
+389.538 93.7764 l
+389.661 87.1956 l
+390.032 80.6148 l
+390.094 83.9052 l
+390.28 80.6148 l
+390.713 70.7436 l
+391.269 87.1956 l
+391.393 80.6148 l
+391.517 87.1956 l
+391.826 90.486 l
+391.95 83.9052 l
+392.135 87.1956 l
+392.506 93.7764 l
+392.568 90.486 l
+392.692 97.0668 l
+392.815 103.648 l
+392.939 97.0668 l
+393.372 87.1956 l
+394.114 113.519 l
+394.423 110.228 l
+394.671 123.39 l
+394.795 116.809 l
+395.104 113.519 l
+395.537 129.971 l
+395.599 126.68 l
+396.279 103.648 l
+396.403 110.228 l
+396.588 106.938 l
+397.083 93.7764 l
+397.825 120.1 l
+398.134 116.809 l
+398.32 120.1 l
+398.382 116.809 l
+398.691 113.519 l
+398.814 120.1 l
+398.938 113.519 l
+399 110.228 l
+399.124 116.809 l
+399.433 120.1 l
+399.742 110.228 l
+399.804 113.519 l
+400.113 129.971 l
+400.237 123.39 l
+400.299 120.1 l
+400.422 126.68 l
+400.855 136.552 l
+401.288 126.68 l
+401.35 129.971 l
+401.474 123.39 l
+401.536 120.1 l
+401.721 123.39 l
+401.845 129.971 l
+402.03 126.68 l
+402.525 106.938 l
+402.587 110.228 l
+403.02 133.261 l
+403.205 129.971 l
+403.329 123.39 l
+403.453 129.971 l
+403.7 136.552 l
+403.762 133.261 l
+404.133 126.68 l
+404.566 136.552 l
+404.628 133.261 l
+404.752 139.842 l
+405.061 143.132 l
+405.617 126.68 l
+406.174 143.132 l
+406.483 126.68 l
+406.669 129.971 l
+406.978 146.423 l
+407.102 139.842 l
+407.287 129.971 l
+407.411 136.552 l
+407.596 139.842 l
+407.658 136.552 l
+407.72 133.261 l
+407.844 139.842 l
+408.339 153.004 l
+408.895 136.552 l
+409.699 166.165 l
+410.07 153.004 l
+410.132 156.294 l
+410.503 162.875 l
+410.627 156.294 l
+410.812 159.584 l
+411.245 169.456 l
+411.493 162.875 l
+411.555 166.165 l
+411.987 176.036 l
+412.297 166.165 l
+412.359 169.456 l
+412.482 176.036 l
+412.668 172.746 l
+413.101 162.875 l
+413.163 166.165 l
+413.286 159.584 l
+413.719 143.132 l
+413.781 146.423 l
+414.152 159.584 l
+414.214 156.294 l
+414.77 139.842 l
+414.956 143.132 l
+415.018 139.842 l
+415.451 129.971 l
+415.884 139.842 l
+416.44 123.39 l
+416.688 129.971 l
+416.75 126.68 l
+416.935 116.809 l
+417.121 120.1 l
+417.182 123.39 l
+417.306 116.809 l
+417.615 113.519 l
+417.925 116.809 l
+418.481 100.357 l
+418.79 103.648 l
+419.223 93.7764 l
+419.285 97.0668 l
+419.409 90.486 l
+419.718 87.1956 l
+420.089 100.357 l
+420.151 97.0668 l
+420.646 83.9052 l
+421.079 93.7764 l
+421.264 83.9052 l
+421.45 87.1956 l
+421.573 93.7764 l
+421.697 87.1956 l
+422.377 64.1628 l
+422.439 67.4532 l
+422.625 64.1628 l
+422.748 57.582 l
+422.934 60.8724 l
+422.996 64.1628 l
+423.12 57.582 l
+423.243 51.0012 l
+423.367 57.582 l
+423.429 60.8724 l
+423.552 54.2916 l
+423.738 51.0012 l
+423.8 54.2916 l
+423.862 57.582 l
+423.985 51.0012 l
+424.047 47.7108 l
+424.171 54.2916 l
+424.728 77.3244 l
+424.789 74.034 l
+425.037 67.4532 l
+425.099 70.7436 l
+425.16 74.034 l
+425.346 70.7436 l
+425.655 67.4532 l
+426.026 80.6148 l
+426.088 77.3244 l
+426.212 70.7436 l
+426.335 77.3244 l
+426.397 80.6148 l
+426.521 74.034 l
+426.892 67.4532 l
+427.201 77.3244 l
+427.263 74.034 l
+427.325 70.7436 l
+427.511 74.034 l
+427.572 77.3244 l
+427.696 70.7436 l
+428.129 60.8724 l
+428.315 70.7436 l
+428.5 67.4532 l
+428.809 64.1628 l
+429.119 67.4532 l
+429.49 60.8724 l
+429.923 70.7436 l
+430.046 64.1628 l
+430.17 70.7436 l
+430.417 77.3244 l
+430.479 74.034 l
+430.541 70.7436 l
+430.726 74.034 l
+431.159 83.9052 l
+431.654 70.7436 l
+431.84 80.6148 l
+432.025 77.3244 l
+432.273 70.7436 l
+432.334 74.034 l
+432.458 80.6148 l
+432.644 77.3244 l
+432.953 74.034 l
+433.077 80.6148 l
+433.2 74.034 l
+433.262 70.7436 l
+433.448 74.034 l
+434.19 100.357 l
+434.499 97.0668 l
+434.746 110.228 l
+434.87 103.648 l
+435.056 93.7764 l
+435.179 100.357 l
+435.612 116.809 l
+435.674 113.519 l
+435.921 106.938 l
+435.983 110.228 l
+436.664 133.261 l
+436.787 126.68 l
+436.911 133.261 l
+437.097 136.552 l
+437.158 133.261 l
+437.653 120.1 l
+437.962 129.971 l
+438.024 126.68 l
+438.148 120.1 l
+438.272 126.68 l
+438.952 149.713 l
+439.076 143.132 l
+439.261 146.423 l
+439.632 153.004 l
+440.003 146.423 l
+440.312 149.713 l
+440.498 146.423 l
+440.56 149.713 l
+440.993 159.584 l
+441.116 153.004 l
+441.24 159.584 l
+441.982 185.908 l
+442.353 172.746 l
+442.415 176.036 l
+442.724 179.327 l
+442.972 172.746 l
+443.034 176.036 l
+443.095 179.327 l
+443.219 172.746 l
+443.281 169.456 l
+443.405 176.036 l
+444.085 199.069 l
+444.58 185.908 l
+445.136 202.36 l
+445.569 192.488 l
+445.693 199.069 l
+445.817 192.488 l
+446.002 189.198 l
+446.064 192.488 l
+446.559 205.65 l
+447.115 189.198 l
+447.486 195.779 l
+447.548 192.488 l
+447.672 199.069 l
+447.858 208.94 l
+447.981 202.36 l
+448.723 176.036 l
+448.785 179.327 l
+448.971 176.036 l
+449.033 172.746 l
+449.156 179.327 l
+449.342 182.617 l
+449.404 179.327 l
+449.898 166.165 l
+450.208 176.036 l
+450.27 172.746 l
+450.393 166.165 l
+450.517 172.746 l
+450.95 195.779 l
+451.073 189.198 l
+451.816 162.875 l
+452.187 176.036 l
+452.249 172.746 l
+452.991 146.423 l
+453.176 149.713 l
+453.238 146.423 l
+453.671 136.552 l
+453.857 146.423 l
+453.98 139.842 l
+454.351 133.261 l
+454.537 143.132 l
+454.722 139.842 l
+454.784 136.552 l
+454.97 139.842 l
+455.217 146.423 l
+455.279 143.132 l
+455.774 129.971 l
+455.836 133.261 l
+455.959 126.68 l
+456.392 116.809 l
+456.763 129.971 l
+456.825 126.68 l
+457.32 113.519 l
+457.691 126.68 l
+457.753 123.39 l
+458.309 106.938 l
+458.433 113.519 l
+458.557 106.938 l
+458.742 97.0668 l
+458.928 100.357 l
+458.99 103.648 l
+459.113 97.0668 l
+459.175 93.7764 l
+459.299 100.357 l
+459.484 110.228 l
+459.67 106.938 l
+459.794 100.357 l
+459.917 106.938 l
+460.103 110.228 l
+460.165 106.938 l
+460.474 97.0668 l
+460.536 100.357 l
+460.721 103.648 l
+460.783 100.357 l
+460.845 97.0668 l
+460.969 103.648 l
+461.092 110.228 l
+461.216 103.648 l
+461.649 93.7764 l
+462.02 106.938 l
+462.082 103.648 l
+462.391 100.357 l
+462.824 110.228 l
+463.195 103.648 l
+463.504 120.1 l
+463.69 116.809 l
+464.185 97.0668 l
+464.246 100.357 l
+464.308 103.648 l
+464.494 100.357 l
+464.618 93.7764 l
+464.741 100.357 l
+464.803 103.648 l
+464.927 97.0668 l
+465.05 90.486 l
+465.174 97.0668 l
+465.854 120.1 l
+466.164 116.809 l
+466.349 120.1 l
+466.411 116.809 l
+466.597 113.519 l
+466.658 116.809 l
+466.844 120.1 l
+466.906 116.809 l
+467.091 113.519 l
+467.153 116.809 l
+467.401 123.39 l
+467.462 120.1 l
+468.205 93.7764 l
+468.39 103.648 l
+468.514 97.0668 l
+468.576 93.7764 l
+468.699 100.357 l
+468.761 103.648 l
+468.947 100.357 l
+469.503 83.9052 l
+469.689 87.1956 l
+469.751 83.9052 l
+469.813 80.6148 l
+469.936 87.1956 l
+469.998 90.486 l
+470.122 83.9052 l
+470.184 80.6148 l
+470.369 83.9052 l
+470.988 103.648 l
+471.235 97.0668 l
+471.297 100.357 l
+471.853 116.809 l
+472.657 87.1956 l
+472.781 93.7764 l
+472.967 90.486 l
+473.276 87.1956 l
+473.771 106.938 l
+473.832 103.648 l
+473.956 97.0668 l
+474.08 103.648 l
+474.76 126.68 l
+475.131 120.1 l
+475.502 139.842 l
+475.626 133.261 l
+475.935 123.39 l
+475.997 126.68 l
+476.183 136.552 l
+476.306 129.971 l
+476.863 113.519 l
+477.234 120.1 l
+477.419 116.809 l
+477.481 120.1 l
+477.543 123.39 l
+477.667 116.809 l
+478.038 103.648 l
+478.1 106.938 l
+478.533 123.39 l
+478.595 120.1 l
+478.904 110.228 l
+478.966 113.519 l
+479.275 123.39 l
+479.337 120.1 l
+479.399 116.809 l
+479.522 123.39 l
+479.893 129.971 l
+480.264 123.39 l
+480.883 143.132 l
+481.13 129.971 l
+481.254 136.552 l
+481.625 149.713 l
+481.687 146.423 l
+482.429 120.1 l
+482.676 133.261 l
+482.862 129.971 l
+483.542 106.938 l
+483.851 116.809 l
+483.913 113.519 l
+484.284 100.357 l
+484.346 103.648 l
+484.408 106.938 l
+484.593 103.648 l
+484.717 97.0668 l
+484.903 100.357 l
+485.026 106.938 l
+485.212 103.648 l
+485.645 93.7764 l
+486.016 106.938 l
+486.078 103.648 l
+486.387 100.357 l
+486.758 113.519 l
+486.82 110.228 l
+487.377 93.7764 l
+488.242 126.68 l
+488.552 123.39 l
+488.737 126.68 l
+488.799 123.39 l
+489.294 110.228 l
+489.727 120.1 l
+489.85 113.519 l
+490.036 116.809 l
+490.283 129.971 l
+490.407 123.39 l
+490.654 116.809 l
+490.716 120.1 l
+491.335 139.842 l
+491.582 126.68 l
+491.767 129.971 l
+492.015 143.132 l
+492.139 136.552 l
+492.448 133.261 l
+492.51 136.552 l
+492.633 129.971 l
+492.943 126.68 l
+493.066 133.261 l
+493.252 129.971 l
+493.623 116.809 l
+493.685 120.1 l
+494.118 129.971 l
+494.179 126.68 l
+494.303 133.261 l
+494.365 136.552 l
+494.489 129.971 l
+494.922 120.1 l
+495.478 136.552 l
+495.54 133.261 l
+495.664 139.842 l
+496.035 146.423 l
+496.468 136.552 l
+496.653 146.423 l
+496.839 143.132 l
+496.901 139.842 l
+497.086 143.132 l
+497.457 149.713 l
+497.705 143.132 l
+497.766 146.423 l
+498.138 153.004 l
+498.447 149.713 l
+498.509 153.004 l
+498.632 146.423 l
+498.818 143.132 l
+498.88 146.423 l
+499.189 149.713 l
+499.56 136.552 l
+499.622 139.842 l
+500.055 149.713 l
+500.117 146.423 l
+500.24 153.004 l
+500.611 166.165 l
+500.673 162.875 l
+501.106 153.004 l
+501.292 162.875 l
+501.415 156.294 l
+501.601 153.004 l
+501.663 156.294 l
+501.91 162.875 l
+501.972 159.584 l
+502.405 149.713 l
+502.9 162.875 l
+502.961 159.584 l
+503.085 166.165 l
+503.58 179.327 l
+503.765 176.036 l
+503.827 179.327 l
+504.137 182.617 l
+504.26 176.036 l
+504.384 182.617 l
+504.879 202.36 l
+504.94 199.069 l
+505.25 195.779 l
+505.683 205.65 l
+506.177 192.488 l
+506.363 195.779 l
+506.425 192.488 l
+506.92 179.327 l
+507.167 185.908 l
+507.229 182.617 l
+507.538 179.327 l
+508.033 205.65 l
+508.156 199.069 l
+508.527 185.908 l
+508.589 189.198 l
+509.331 215.521 l
+509.455 208.94 l
+509.641 212.231 l
+509.764 218.812 l
+509.95 215.521 l
+510.259 212.231 l
+510.939 235.264 l
+511.558 215.521 l
+511.929 228.683 l
+511.991 225.392 l
+512.176 215.521 l
+512.3 222.102 l
+512.362 225.392 l
+512.547 222.102 l
+513.166 202.36 l
+513.475 205.65 l
+513.537 202.36 l
+513.722 205.65 l
+514.217 218.812 l
+514.279 215.521 l
+514.403 222.102 l
+514.836 231.973 l
+515.578 205.65 l
+515.825 212.231 l
+515.887 208.94 l
+515.949 205.65 l
+516.073 212.231 l
+516.258 215.521 l
+516.32 212.231 l
+516.691 205.65 l
+517.186 218.812 l
+517.557 212.231 l
+517.681 218.812 l
+517.866 215.521 l
+518.299 199.069 l
+518.361 202.36 l
+518.608 208.94 l
+518.67 205.65 l
+518.732 202.36 l
+518.856 208.94 l
+518.917 212.231 l
+519.103 208.94 l
+519.536 199.069 l
+520.031 212.231 l
+520.093 208.94 l
+520.216 215.521 l
+520.34 222.102 l
+520.525 218.812 l
+520.773 212.231 l
+520.835 215.521 l
+521.082 222.102 l
+521.144 218.812 l
+521.824 195.779 l
+522.257 205.65 l
+522.69 195.779 l
+522.752 199.069 l
+522.876 192.488 l
+523.247 185.908 l
+523.68 195.779 l
+524.174 182.617 l
+524.669 195.779 l
+524.855 185.908 l
+524.978 192.488 l
+525.287 202.36 l
+525.349 199.069 l
+525.411 195.779 l
+525.535 202.36 l
+525.659 208.94 l
+525.782 202.36 l
+526.277 189.198 l
+526.834 212.231 l
+526.895 208.94 l
+527.081 199.069 l
+527.205 205.65 l
+527.39 208.94 l
+527.452 205.65 l
+527.514 202.36 l
+527.638 208.94 l
+527.947 218.812 l
+528.009 215.521 l
+528.318 212.231 l
+528.503 222.102 l
+528.689 218.812 l
+528.998 208.94 l
+529.06 212.231 l
+529.122 215.521 l
+529.246 208.94 l
+529.678 199.069 l
+529.988 202.36 l
+530.173 192.488 l
+530.297 199.069 l
+531.101 228.683 l
+531.41 218.812 l
+531.472 222.102 l
+531.596 228.683 l
+531.781 225.392 l
+532.09 215.521 l
+532.152 218.812 l
+532.462 222.102 l
+532.523 218.812 l
+532.647 225.392 l
+532.709 228.683 l
+532.833 222.102 l
+533.204 208.94 l
+533.265 212.231 l
+533.327 215.521 l
+533.451 208.94 l
+533.946 195.779 l
+534.193 202.36 l
+534.255 199.069 l
+534.379 192.488 l
+534.502 199.069 l
+534.688 202.36 l
+534.75 199.069 l
+534.873 192.488 l
+534.997 199.069 l
+535.306 202.36 l
+535.492 199.069 l
+535.554 202.36 l
+536.914 261.587 l
+536.976 258.296 l
+537.1 264.877 l
+537.162 268.168 l
+537.285 261.587 l
+537.347 258.296 l
+537.533 261.587 l
+537.595 264.877 l
+537.718 258.296 l
+538.028 255.006 l
+538.151 261.587 l
+538.275 255.006 l
+538.337 251.716 l
+538.46 258.296 l
+538.955 271.458 l
+539.512 248.425 l
+539.574 251.716 l
+540.192 278.039 l
+540.254 274.748 l
+540.378 268.168 l
+540.501 274.748 l
+540.687 284.62 l
+540.872 281.329 l
+540.934 278.039 l
+541.058 284.62 l
+541.12 287.91 l
+541.244 281.329 l
+541.553 271.458 l
+541.615 274.748 l
+541.986 281.329 l
+542.48 261.587 l
+542.542 264.877 l
+543.223 287.91 l
+543.655 278.039 l
+543.965 281.329 l
+544.336 274.748 l
+544.583 281.329 l
+544.645 278.039 l
+544.707 274.748 l
+544.831 281.329 l
+544.892 284.62 l
+545.016 278.039 l
+545.202 274.748 l
+545.263 278.039 l
+545.696 287.91 l
+546.129 271.458 l
+546.191 274.748 l
+546.253 278.039 l
+546.377 271.458 l
+546.562 268.168 l
+546.624 271.458 l
+546.995 278.039 l
+547.057 274.748 l
+547.181 281.329 l
+547.675 301.072 l
+547.737 297.781 l
+548.17 287.91 l
+548.232 291.2 l
+548.418 287.91 l
+548.541 281.329 l
+548.665 287.91 l
+548.727 291.2 l
+548.85 284.62 l
+548.912 281.329 l
+549.098 284.62 l
+549.716 304.362 l
+549.964 291.2 l
+550.087 297.781 l
+550.273 301.072 l
+550.335 297.781 l
+550.829 284.62 l
+551.015 294.491 l
+551.201 291.2 l
+551.51 274.748 l
+551.633 281.329 l
+552.19 304.362 l
+552.252 301.072 l
+552.685 291.2 l
+553.118 301.072 l
+553.489 294.491 l
+553.674 297.781 l
+553.736 294.491 l
+554.107 287.91 l
+554.54 297.781 l
+554.664 291.2 l
+554.788 297.781 l
+555.097 307.652 l
+555.159 304.362 l
+555.653 291.2 l
+556.024 297.781 l
+556.334 294.491 l
+556.705 307.652 l
+556.767 304.362 l
+556.89 297.781 l
+557.014 304.362 l
+557.2 314.233 l
+557.323 307.652 l
+557.509 297.781 l
+557.632 304.362 l
+557.756 310.943 l
+557.88 304.362 l
+558.498 284.62 l
+558.684 287.91 l
+558.746 284.62 l
+558.931 281.329 l
+558.993 284.62 l
+559.055 287.91 l
+559.179 281.329 l
+559.364 271.458 l
+559.55 274.748 l
+559.611 278.039 l
+559.735 271.458 l
+559.859 264.877 l
+559.983 271.458 l
+560.415 281.329 l
+560.972 264.877 l
+561.034 268.168 l
+561.158 261.587 l
+561.219 258.296 l
+561.343 264.877 l
+561.838 284.62 l
+561.9 281.329 l
+562.023 274.748 l
+562.147 281.329 l
+562.704 297.781 l
+563.508 268.168 l
+563.879 281.329 l
+563.941 278.039 l
+564.064 271.458 l
+564.25 274.748 l
+564.312 278.039 l
+564.435 271.458 l
+564.497 268.168 l
+564.683 271.458 l
+565.363 294.491 l
+565.487 287.91 l
+565.672 291.2 l
+565.858 294.491 l
+565.92 291.2 l
+566.229 281.329 l
+566.291 284.62 l
+566.6 294.491 l
+566.662 291.2 l
+567.157 278.039 l
+567.28 284.62 l
+567.404 278.039 l
+567.466 274.748 l
+567.651 278.039 l
+567.961 287.91 l
+568.022 284.62 l
+568.084 281.329 l
+568.208 287.91 l
+568.579 294.491 l
+569.012 284.62 l
+569.074 287.91 l
+569.197 281.329 l
+569.259 278.039 l
+569.383 284.62 l
+569.507 291.2 l
+569.63 284.62 l
+569.94 274.748 l
+570.001 278.039 l
+570.125 284.62 l
+570.249 278.039 l
+570.311 274.748 l
+570.434 281.329 l
+570.991 297.781 l
+571.115 291.2 l
+571.238 297.781 l
+571.362 304.362 l
+571.486 297.781 l
+571.795 294.491 l
+572.352 310.943 l
+572.846 291.2 l
+572.908 294.491 l
+573.465 310.943 l
+573.774 307.652 l
+573.898 314.233 l
+574.083 310.943 l
+574.392 307.652 l
+574.454 310.943 l
+574.578 304.362 l
+574.887 294.491 l
+574.949 297.781 l
+575.196 310.943 l
+575.382 307.652 l
+576.062 278.039 l
+576.124 281.329 l
+576.804 304.362 l
+576.928 297.781 l
+577.052 304.362 l
+577.361 314.233 l
+577.423 310.943 l
+577.794 304.362 l
+578.227 314.233 l
+578.351 307.652 l
+578.474 314.233 l
+579.154 337.266 l
+579.216 333.976 l
+579.402 337.266 l
+579.649 350.428 l
+579.835 347.137 l
+580.268 330.685 l
+580.33 333.976 l
+580.639 337.266 l
+580.701 333.976 l
+580.886 337.266 l
+581.072 340.556 l
+581.134 337.266 l
+581.443 333.976 l
+581.628 343.847 l
+581.752 337.266 l
+582.061 327.395 l
+582.123 330.685 l
+582.556 340.556 l
+583.113 324.104 l
+583.174 327.395 l
+583.298 320.814 l
+583.731 310.943 l
+583.917 320.814 l
+584.102 317.524 l
+584.473 310.943 l
+585.092 330.685 l
+585.215 324.104 l
+585.401 327.395 l
+585.586 337.266 l
+585.71 330.685 l
+586.143 320.814 l
+586.329 324.104 l
+586.39 320.814 l
+586.452 317.524 l
+586.638 320.814 l
+586.7 324.104 l
+586.823 317.524 l
+587.442 297.781 l
+587.627 301.072 l
+587.689 297.781 l
+588.122 287.91 l
+588.74 307.652 l
+588.988 294.491 l
+589.112 301.072 l
+589.235 307.652 l
+589.359 301.072 l
+589.483 294.491 l
+589.668 297.781 l
+589.73 301.072 l
+589.854 294.491 l
+590.287 278.039 l
+590.348 281.329 l
+590.472 287.91 l
+590.658 284.62 l
+590.781 278.039 l
+590.905 284.62 l
+590.967 287.91 l
+591.091 281.329 l
+591.523 271.458 l
+591.771 284.62 l
+591.956 281.329 l
+592.018 278.039 l
+592.204 281.329 l
+592.451 287.91 l
+592.513 284.62 l
+592.822 281.329 l
+593.503 304.362 l
+593.874 291.2 l
+593.935 294.491 l
+594.492 310.943 l
+594.554 307.652 l
+594.678 314.233 l
+594.801 320.814 l
+594.925 314.233 l
+595.296 307.652 l
+595.482 310.943 l
+595.543 307.652 l
+595.605 304.362 l
+595.791 307.652 l
+595.853 310.943 l
+596.038 307.652 l
+596.347 304.362 l
+596.78 320.814 l
+596.842 317.524 l
+597.151 314.233 l
+597.337 317.524 l
+597.399 314.233 l
+597.584 310.943 l
+597.646 314.233 l
+597.708 317.524 l
+597.894 314.233 l
+598.141 301.072 l
+598.265 307.652 l
+599.13 340.556 l
+599.44 330.685 l
+599.501 333.976 l
+599.996 353.718 l
+600.058 350.428 l
+600.367 340.556 l
+600.429 343.847 l
+600.738 353.718 l
+600.8 350.428 l
+600.986 340.556 l
+601.109 347.137 l
+601.419 350.428 l
+601.913 337.266 l
+601.975 340.556 l
+602.099 333.976 l
+602.161 330.685 l
+602.285 337.266 l
+602.841 353.718 l
+603.089 340.556 l
+603.274 343.847 l
+603.46 347.137 l
+603.521 343.847 l
+604.14 324.104 l
+604.325 333.976 l
+604.449 327.395 l
+604.696 320.814 l
+604.758 324.104 l
+605.068 333.976 l
+605.129 330.685 l
+605.253 324.104 l
+605.377 330.685 l
+605.748 343.847 l
+605.81 340.556 l
+605.872 337.266 l
+605.995 343.847 l
+606.366 350.428 l
+606.861 337.266 l
+606.985 343.847 l
+607.108 337.266 l
+607.541 320.814 l
+607.603 324.104 l
+607.727 330.685 l
+607.912 327.395 l
+608.222 324.104 l
+608.655 333.976 l
+609.087 324.104 l
+609.273 333.976 l
+609.397 327.395 l
+609.582 324.104 l
+609.644 327.395 l
+609.953 330.685 l
+610.324 324.104 l
+610.572 330.685 l
+610.634 327.395 l
+610.757 320.814 l
+610.943 324.104 l
+611.005 327.395 l
+611.128 320.814 l
+611.747 301.072 l
+612.303 317.524 l
+612.922 297.781 l
+613.293 304.362 l
+613.664 297.781 l
+614.035 304.362 l
+614.221 301.072 l
+614.282 304.362 l
+614.777 324.104 l
+614.839 320.814 l
+615.148 317.524 l
+615.457 320.814 l
+615.519 317.524 l
+615.705 320.814 l
+615.767 324.104 l
+615.89 317.524 l
+616.076 314.233 l
+616.138 317.524 l
+616.261 324.104 l
+616.385 317.524 l
+616.447 314.233 l
+616.571 320.814 l
+616.942 327.395 l
+617.065 320.814 l
+617.251 324.104 l
+617.808 340.556 l
+618.179 333.976 l
+618.612 343.847 l
+618.797 340.556 l
+618.859 343.847 l
+619.168 353.718 l
+619.23 350.428 l
+619.292 347.137 l
+619.416 353.718 l
+619.787 360.299 l
+620.034 353.718 l
+620.096 357.008 l
+620.22 363.589 l
+620.343 357.008 l
+620.467 350.428 l
+620.591 357.008 l
+620.962 363.589 l
+621.518 347.137 l
+621.642 353.718 l
+621.766 347.137 l
+621.951 337.266 l
+622.075 343.847 l
+622.26 353.718 l
+622.384 347.137 l
+622.632 340.556 l
+622.693 343.847 l
+623.188 357.008 l
+623.559 350.428 l
+623.93 363.589 l
+623.992 360.299 l
+624.054 357.008 l
+624.178 363.589 l
+624.239 366.88 l
+624.425 363.589 l
+625.043 337.266 l
+625.105 340.556 l
+625.291 350.428 l
+625.415 343.847 l
+625.476 340.556 l
+625.6 347.137 l
+625.724 353.718 l
+625.847 347.137 l
+626.219 340.556 l
+626.713 353.718 l
+627.023 343.847 l
+627.084 347.137 l
+627.641 363.589 l
+627.765 357.008 l
+627.95 360.299 l
+628.136 370.17 l
+628.136 370.17 l
+stroke
+grestore
+1.000 0.000 0.000 setrgbcolor
+gsave
+556.6 329 89.77 41.13 clipbox
+89.775 287.91 m
+90.2698 274.748 l
+90.4553 278.039 l
+90.5171 274.748 l
+90.9501 264.877 l
+91.0119 268.168 l
+91.1974 264.877 l
+91.5685 251.716 l
+91.6303 255.006 l
+92.0014 268.168 l
+92.0633 264.877 l
+92.3725 255.006 l
+92.4343 258.296 l
+92.7436 268.168 l
+92.8054 264.877 l
+93.1765 251.716 l
+93.2383 255.006 l
+93.362 261.587 l
+93.4857 255.006 l
+93.8568 248.425 l
+94.0423 251.716 l
+94.1041 248.425 l
+94.4752 241.844 l
+94.6608 251.716 l
+94.8463 248.425 l
+95.2174 228.683 l
+95.341 235.264 l
+95.774 245.135 l
+96.2687 225.392 l
+96.3306 228.683 l
+96.6398 238.554 l
+96.7016 235.264 l
+96.949 228.683 l
+97.0109 231.973 l
+97.0727 235.264 l
+97.1964 228.683 l
+97.3201 222.102 l
+97.5056 225.392 l
+98.0622 241.844 l
+98.4333 235.264 l
+98.6807 241.844 l
+98.7425 238.554 l
+98.8044 235.264 l
+98.9281 241.844 l
+99.1754 248.425 l
+99.2373 245.135 l
+99.5465 241.844 l
+100.412 274.748 l
+100.783 268.168 l
+100.907 274.748 l
+101.031 268.168 l
+101.216 258.296 l
+101.34 264.877 l
+101.711 278.039 l
+101.773 274.748 l
+102.02 268.168 l
+102.082 271.458 l
+102.391 287.91 l
+102.515 281.329 l
+102.577 278.039 l
+102.762 281.329 l
+103.195 291.2 l
+103.381 281.329 l
+103.505 287.91 l
+103.69 291.2 l
+103.752 287.91 l
+103.876 281.329 l
+104.061 284.62 l
+104.494 294.491 l
+104.865 287.91 l
+104.989 294.491 l
+105.174 291.2 l
+105.236 287.91 l
+105.36 294.491 l
+105.669 297.781 l
+106.226 274.748 l
+106.288 278.039 l
+106.597 287.91 l
+106.659 284.62 l
+106.782 278.039 l
+106.906 284.62 l
+106.968 287.91 l
+107.153 284.62 l
+107.71 268.168 l
+108.081 274.748 l
+108.328 268.168 l
+108.39 271.458 l
+108.7 274.748 l
+108.885 271.458 l
+108.947 274.748 l
+109.256 278.039 l
+109.318 274.748 l
+109.504 278.039 l
+110.06 294.491 l
+110.555 274.748 l
+110.617 278.039 l
+111.05 287.91 l
+111.421 281.329 l
+111.854 291.2 l
+112.348 278.039 l
+112.843 291.2 l
+112.967 284.62 l
+113.091 291.2 l
+113.523 301.072 l
+113.895 287.91 l
+113.956 291.2 l
+114.575 310.943 l
+114.637 307.652 l
+114.76 314.233 l
+114.946 317.524 l
+115.008 314.233 l
+115.379 307.652 l
+115.441 310.943 l
+115.626 307.652 l
+115.688 304.362 l
+115.874 307.652 l
+116.183 324.104 l
+116.307 317.524 l
+116.368 314.233 l
+116.492 320.814 l
+116.801 324.104 l
+117.482 294.491 l
+117.543 297.781 l
+117.605 301.072 l
+117.729 294.491 l
+118.1 287.91 l
+118.657 304.362 l
+118.842 301.072 l
+118.904 304.362 l
+119.399 317.524 l
+119.646 310.943 l
+119.708 314.233 l
+119.77 317.524 l
+119.894 310.943 l
+120.265 304.362 l
+120.326 307.652 l
+120.512 304.362 l
+120.821 301.072 l
+121.316 320.814 l
+121.378 317.524 l
+121.501 310.943 l
+121.625 317.524 l
+122.12 330.685 l
+122.738 310.943 l
+123.295 327.395 l
+123.666 320.814 l
+123.728 324.104 l
+123.852 317.524 l
+124.408 301.072 l
+125.088 324.104 l
+125.15 320.814 l
+125.274 327.395 l
+125.336 330.685 l
+125.46 324.104 l
+125.583 317.524 l
+125.707 324.104 l
+126.325 350.428 l
+126.387 347.137 l
+127.068 324.104 l
+128.057 363.589 l
+128.119 360.299 l
+128.243 366.88 l
+128.304 370.17 l
+128.304 370.17 l
+stroke
+grestore
+0.500 setlinewidth
+0 setlinecap
+0.000 setgray
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+89.775 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+89.775 370.17 o
+grestore
+/DejaVuSans findfont
+12.000 scalefont
+setfont
+gsave
+86.751562 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+151.62 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+151.62 370.17 o
+grestore
+gsave
+137.393438 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /one glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+213.465 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+213.465 370.17 o
+grestore
+gsave
+199.019688 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /two glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+275.31 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+275.31 370.17 o
+grestore
+gsave
+260.888125 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /three glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+337.155 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+337.155 370.17 o
+grestore
+gsave
+322.569063 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /four glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+399 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+399 370.17 o
+grestore
+gsave
+384.578125 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /five glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+460.845 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+460.845 370.17 o
+grestore
+gsave
+446.384063 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /six glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+522.69 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+522.69 370.17 o
+grestore
+gsave
+508.299375 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /seven glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+584.535 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+584.535 370.17 o
+grestore
+gsave
+570.058438 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /eight glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+646.38 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+646.38 370.17 o
+grestore
+gsave
+631.872187 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /nine glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+355.132 11.646 m
+0 2.5 rmoveto
+(Step) show
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+4 0 l
+stroke
+grestore
+} bind def
+89.775 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+-4 0 l
+stroke
+grestore
+} bind def
+646.38 41.13 o
+grestore
+gsave
+79.728125 36.590937 translate
+0.000000 rotate
+0.000000 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+4 0 l
+stroke
+grestore
+} bind def
+89.775 106.938 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+-4 0 l
+stroke
+grestore
+} bind def
+646.38 106.938 o
+grestore
+gsave
+72.165625 102.398938 translate
+0.000000 rotate
+0.000000 0.171875 m /two glyphshow
+7.634766 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+4 0 l
+stroke
+grestore
+} bind def
+89.775 172.746 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+-4 0 l
+stroke
+grestore
+} bind def
+646.38 172.746 o
+grestore
+gsave
+71.884375 168.206938 translate
+0.000000 rotate
+0.000000 0.171875 m /four glyphshow
+7.634766 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+4 0 l
+stroke
+grestore
+} bind def
+89.775 238.554 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+-4 0 l
+stroke
+grestore
+} bind def
+646.38 238.554 o
+grestore
+gsave
+72.134375 234.014938 translate
+0.000000 rotate
+0.000000 0.171875 m /six glyphshow
+7.634766 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+4 0 l
+stroke
+grestore
+} bind def
+89.775 304.362 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+-4 0 l
+stroke
+grestore
+} bind def
+646.38 304.362 o
+grestore
+gsave
+72.103125 299.822938 translate
+0.000000 rotate
+0.000000 0.171875 m /eight glyphshow
+7.634766 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+4 0 l
+stroke
+grestore
+} bind def
+89.775 370.17 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+-4 0 l
+stroke
+grestore
+} bind def
+646.38 370.17 o
+grestore
+gsave
+64.962500 365.630938 translate
+0.000000 rotate
+0.000000 0.171875 m /one glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+grestore
+59.962 190.478 m
+gsave
+90 rotate
+0 0.172 rmoveto
+(State) show
+grestore
+1.000 setlinewidth
+2 setlinecap
+gsave
+89.775 370.17 m
+646.38 370.17 l
+stroke
+grestore
+gsave
+646.38 41.13 m
+646.38 370.17 l
+stroke
+grestore
+gsave
+89.775 41.13 m
+646.38 41.13 l
+stroke
+grestore
+gsave
+89.775 41.13 m
+89.775 370.17 l
+stroke
+grestore
+gsave
+512.621 299.113 m
+639.18 299.113 l
+639.18 362.97 l
+512.621 362.97 l
+512.621 299.113 l
+cl
+gsave
+1.000 setgray
+fill
+grestore
+stroke
+grestore
+0.000 0.000 1.000 setrgbcolor
+gsave
+522.701 351.609 m
+542.861 351.609 l
+stroke
+grestore
+0.000 setgray
+/DejaVuSans findfont
+14.400 scalefont
+setfont
+558.701 346.366 m
+0 0.203 rmoveto
+(Start in 25) show
+0.000 0.500 0.000 setrgbcolor
+gsave
+522.701 330.863 m
+542.861 330.863 l
+stroke
+grestore
+0.000 setgray
+558.701 325.619 m
+0 0.203 rmoveto
+(Start in 50) show
+1.000 0.000 0.000 setrgbcolor
+gsave
+522.701 310.116 m
+542.861 310.116 l
+stroke
+grestore
+0.000 setgray
+558.701 304.873 m
+0 0.203 rmoveto
+(Start in 75) show
+
+end
+showpage

diff --git a/rapport.aux b/rapport.aux
index c47d73ce70f9f6df3f7cdd1ae692c5600a43497e..325db8cf977429e4e406ca45a09779ee262e4bf3 100644 (file)
--- a/rapport.aux
+++ b/rapport.aux
@@ -31,26 +31,28 @@
 \@writefile{toc}{\contentsline {subsubsection}{Confidence intervals}{5}}
 \@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces \sf  Ratio of runs that ended up in state $100$, over $5000$ runs}}{5}}
 \newlabel{tab:ratio_to_100}{{2}{5}}
 \@writefile{toc}{\contentsline {subsubsection}{Confidence intervals}{5}}
 \@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces \sf  Ratio of runs that ended up in state $100$, over $5000$ runs}}{5}}
 \newlabel{tab:ratio_to_100}{{2}{5}}

+\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces \sf  Simulated time history when starting in state 25, 50 and 75}}{6}}
+\newlabel{fig:simulated_histories}{{1}{6}}

 \newlabel{eq:samplevariance}{{23}{6}}
 \newlabel{eq:z}{{24}{6}}
 \newlabel{eq:conf1}{{25}{6}}
 \newlabel{eq:conf1num}{{26}{6}}
 \newlabel{eq:z2}{{27}{6}}
 \newlabel{eq:samplevariance}{{23}{6}}
 \newlabel{eq:z}{{24}{6}}
 \newlabel{eq:conf1}{{25}{6}}
 \newlabel{eq:conf1num}{{26}{6}}
 \newlabel{eq:z2}{{27}{6}}

-\newlabel{eq:conf2}{{28}{6}}
-\newlabel{eq:conf2num}{{29}{6}}
-\@writefile{toc}{\contentsline {subsection}{e)}{6}}

 \@writefile{lot}{\contentsline {table}{\numberline {3}{\ignorespaces \sf  Ratio of runs that ended up in state $100$ after $1000$ steps or more}}{7}}
 \newlabel{tab:ratio_to_100_after_1000}{{3}{7}}
 \@writefile{lot}{\contentsline {table}{\numberline {3}{\ignorespaces \sf  Ratio of runs that ended up in state $100$ after $1000$ steps or more}}{7}}
 \newlabel{tab:ratio_to_100_after_1000}{{3}{7}}

+\newlabel{eq:conf2}{{28}{7}}
+\newlabel{eq:conf2num}{{29}{7}}
+\@writefile{toc}{\contentsline {subsection}{e)}{7}}

 \@writefile{toc}{\contentsline {section}{Problem 2}{7}}
 \@writefile{toc}{\contentsline {subsection}{a)}{7}}
 \@writefile{toc}{\contentsline {subsection}{b)}{7}}
 \@writefile{toc}{\contentsline {section}{Problem 2}{7}}
 \@writefile{toc}{\contentsline {subsection}{a)}{7}}
 \@writefile{toc}{\contentsline {subsection}{b)}{7}}

-\@writefile{toc}{\contentsline {subsection}{c)}{7}}
-\newlabel{mat:small}{{30}{7}}
-\newlabel{eq:limprob01}{{31}{7}}
-\newlabel{eq:ui}{{32}{7}}
+\@writefile{toc}{\contentsline {subsection}{c)}{8}}
+\newlabel{mat:small}{{30}{8}}
+\newlabel{eq:limprob01}{{31}{8}}
+\newlabel{eq:ui}{{32}{8}}

 \newlabel{eq:u2}{{33}{8}}
 \newlabel{eq:u3}{{34}{8}}
 \newlabel{eq:u2}{{33}{8}}
 \newlabel{eq:u3}{{34}{8}}

-\@writefile{toc}{\contentsline {subsection}{d)}{8}}
-\@writefile{lol}{\contentsline {lstlisting}{mostimportant.py}{8}}
+\@writefile{toc}{\contentsline {subsection}{d)}{9}}
+\@writefile{lol}{\contentsline {lstlisting}{mostimportant.py}{9}}

 \newlabel{eq:lmatrix}{{36}{9}}
 \newlabel{eq:msim}{{37}{9}}
 \newlabel{eq:lmatrix}{{36}{9}}
 \newlabel{eq:msim}{{37}{9}}

diff --git a/rapport.dvi b/rapport.dvi
index 090c13b87ec17f00657a52ba6fd87ec94f816660..5e68b8910e74e93c8b585bec32542d45ec01d331 100644 (file)
Binary files a/rapport.dvi and b/rapport.dvi differ

diff --git a/rapport.log b/rapport.log
index 04fdfdfa094c529986c505d18b238465360320a5..4cefc0fb0354f91a9d2d329e6a9d29626918f6ca 100644 (file)
--- a/rapport.log
+++ b/rapport.log
@@ -1,14 +1,24 @@
-This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian) (format=latex 2011.10.30)  31 OCT 2011 11:46
+This is pdfTeX, Version 3.1415926-2.3-1.40.12 (TeX Live 2011) (format=latex 2011.8.11)  31 OCT 2011 15:26

 entering extended mode
 entering extended mode

+ restricted \write18 enabled.

  %&-line parsing enabled.
 **rapport.tex
 (./rapport.tex
  %&-line parsing enabled.
 **rapport.tex
 (./rapport.tex

-LaTeX2e <2009/09/24>
-Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
-yphenation, loaded.
-(/usr/share/texmf-texlive/tex/latex/base/article.cls
+LaTeX2e <2011/06/27>
+Babel <v3.8m> and hyphenation patterns for english, dumylang, nohyphenation, ge
+rman-x-2011-07-01, ngerman-x-2011-07-01, afrikaans, ancientgreek, ibycus, arabi
+c, armenian, basque, bulgarian, catalan, pinyin, coptic, croatian, czech, danis
+h, dutch, ukenglish, usenglishmax, esperanto, estonian, ethiopic, farsi, finnis
+h, french, galician, german, ngerman, swissgerman, monogreek, greek, hungarian,
+ icelandic, assamese, bengali, gujarati, hindi, kannada, malayalam, marathi, or
+iya, panjabi, tamil, telugu, indonesian, interlingua, irish, italian, kurmanji,
+ lao, latin, latvian, lithuanian, mongolian, mongolianlmc, bokmal, nynorsk, pol
+ish, portuguese, romanian, russian, sanskrit, serbian, serbianc, slovak, sloven
+ian, spanish, swedish, turkish, turkmen, ukrainian, uppersorbian, welsh, loaded
+.
+(/usr/lib/texlive/texmf-dist/tex/latex/base/article.cls

 Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
 Document Class: article 2007/10/19 v1.4h Standard LaTeX document class

-(/usr/share/texmf-texlive/tex/latex/base/size12.clo
+(/usr/lib/texlive/texmf-dist/tex/latex/base/size12.clo

 File: size12.clo 2007/10/19 v1.4h Standard LaTeX file (size option)
 )
 \c@part=\count79
 File: size12.clo 2007/10/19 v1.4h Standard LaTeX file (size option)
 )
 \c@part=\count79


@@ -23,19 +33,19 @@ File: size12.clo 2007/10/19 v1.4h Standard LaTeX file (size option)
 \belowcaptionskip=\skip42
 \bibindent=\dimen102
 )
 \belowcaptionskip=\skip42
 \bibindent=\dimen102
 )

-(/usr/share/texmf-texlive/tex/latex/base/inputenc.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/base/inputenc.sty

 Package: inputenc 2008/03/30 v1.1d Input encoding file
 \inpenc@prehook=\toks14
 \inpenc@posthook=\toks15
 
 Package: inputenc 2008/03/30 v1.1d Input encoding file
 \inpenc@prehook=\toks14
 \inpenc@posthook=\toks15
 

-(/usr/share/texmf-texlive/tex/latex/base/utf8.def
+(/usr/lib/texlive/texmf-dist/tex/latex/base/utf8.def

 File: utf8.def 2008/04/05 v1.1m UTF-8 support for inputenc
 Now handling font encoding OML ...
 ... no UTF-8 mapping file for font encoding OML
 Now handling font encoding T1 ...
 ... processing UTF-8 mapping file for font encoding T1
 
 File: utf8.def 2008/04/05 v1.1m UTF-8 support for inputenc
 Now handling font encoding OML ...
 ... no UTF-8 mapping file for font encoding OML
 Now handling font encoding T1 ...
 ... processing UTF-8 mapping file for font encoding T1
 

-(/usr/share/texmf-texlive/tex/latex/base/t1enc.dfu
+(/usr/lib/texlive/texmf-dist/tex/latex/base/t1enc.dfu

 File: t1enc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc
    defining Unicode char U+00A1 (decimal 161)
    defining Unicode char U+00A3 (decimal 163)
 File: t1enc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc
    defining Unicode char U+00A1 (decimal 161)
    defining Unicode char U+00A3 (decimal 163)


@@ -185,7 +195,7 @@ File: t1enc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc
 Now handling font encoding OT1 ...
 ... processing UTF-8 mapping file for font encoding OT1
 
 Now handling font encoding OT1 ...
 ... processing UTF-8 mapping file for font encoding OT1
 

-(/usr/share/texmf-texlive/tex/latex/base/ot1enc.dfu
+(/usr/lib/texlive/texmf-dist/tex/latex/base/ot1enc.dfu

 File: ot1enc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc
    defining Unicode char U+00A1 (decimal 161)
    defining Unicode char U+00A3 (decimal 163)
 File: ot1enc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc
    defining Unicode char U+00A1 (decimal 161)
    defining Unicode char U+00A3 (decimal 163)


@@ -216,7 +226,7 @@ File: ot1enc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc
 Now handling font encoding OMS ...
 ... processing UTF-8 mapping file for font encoding OMS
 
 Now handling font encoding OMS ...
 ... processing UTF-8 mapping file for font encoding OMS
 

-(/usr/share/texmf-texlive/tex/latex/base/omsenc.dfu
+(/usr/lib/texlive/texmf-dist/tex/latex/base/omsenc.dfu

 File: omsenc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc
    defining Unicode char U+00A7 (decimal 167)
    defining Unicode char U+00B6 (decimal 182)
 File: omsenc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc
    defining Unicode char U+00A7 (decimal 167)
    defining Unicode char U+00B6 (decimal 182)


@@ -240,8 +250,8 @@ Now handling font encoding U ...
    defining Unicode char U+2122 (decimal 8482)
    defining Unicode char U+2423 (decimal 9251)
 ))
    defining Unicode char U+2122 (decimal 8482)
    defining Unicode char U+2423 (decimal 9251)
 ))

-(/usr/share/texmf-texlive/tex/latex/listings/listings.sty
-(/usr/share/texmf-texlive/tex/latex/graphics/keyval.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/listings/listings.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/graphics/keyval.sty

 Package: keyval 1999/03/16 v1.13 key=value parser (DPC)
 \KV@toks@=\toks16
 )
 Package: keyval 1999/03/16 v1.13 key=value parser (DPC)
 \KV@toks@=\toks16
 )


@@ -258,2140 +268,246 @@ Package: keyval 1999/03/16 v1.13 key=value parser (DPC)
 \lst@lineno=\count92
 \lst@maxwidth=\dimen106
 
 \lst@lineno=\count92
 \lst@maxwidth=\dimen106
 

-(/usr/share/texmf-texlive/tex/latex/listings/lstmisc.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/listings/lstmisc.sty

 File: lstmisc.sty 2007/02/22 1.4 (Carsten Heinz)
 \c@lstnumber=\count93
 \lst@skipnumbers=\count94
 \lst@framebox=\box27
 )
 File: lstmisc.sty 2007/02/22 1.4 (Carsten Heinz)
 \c@lstnumber=\count93
 \lst@skipnumbers=\count94
 \lst@framebox=\box27
 )

-(/usr/share/texmf-texlive/tex/latex/listings/listings.cfg
+(/usr/lib/texlive/texmf-dist/tex/latex/listings/listings.cfg

 File: listings.cfg 2007/02/22 1.4 listings configuration
 ))
 Package: listings 2007/02/22 1.4 (Carsten Heinz)
 
 File: listings.cfg 2007/02/22 1.4 listings configuration
 ))
 Package: listings 2007/02/22 1.4 (Carsten Heinz)
 

-(/usr/share/texmf-texlive/tex/latex/graphics/graphicx.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/graphics/graphicx.sty

 Package: graphicx 1999/02/16 v1.0f Enhanced LaTeX Graphics (DPC,SPQR)
 
 Package: graphicx 1999/02/16 v1.0f Enhanced LaTeX Graphics (DPC,SPQR)
 

-(/usr/share/texmf-texlive/tex/latex/graphics/graphics.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/graphics/graphics.sty

 Package: graphics 2009/02/05 v1.0o Standard LaTeX Graphics (DPC,SPQR)
 
 Package: graphics 2009/02/05 v1.0o Standard LaTeX Graphics (DPC,SPQR)
 

-(/usr/share/texmf-texlive/tex/latex/graphics/trig.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/graphics/trig.sty

 Package: trig 1999/03/16 v1.09 sin cos tan (DPC)
 )
 Package: trig 1999/03/16 v1.09 sin cos tan (DPC)
 )

-(/etc/texmf/tex/latex/config/graphics.cfg
-File: graphics.cfg 2009/08/28 v1.8 graphics configuration of TeX Live
+(/usr/lib/texlive/texmf-dist/tex/latex/latexconfig/graphics.cfg
+File: graphics.cfg 2010/04/23 v1.9 graphics configuration of TeX Live

 )
 Package graphics Info: Driver file: dvips.def on input line 91.
 
 )
 Package graphics Info: Driver file: dvips.def on input line 91.
 

-(/usr/share/texmf-texlive/tex/latex/graphics/dvips.def
+(/usr/lib/texlive/texmf-dist/tex/latex/graphics/dvips.def

 File: dvips.def 1999/02/16 v3.0i Driver-dependant file (DPC,SPQR)
 ))
 \Gin@req@height=\dimen107
 \Gin@req@width=\dimen108
 )
 File: dvips.def 1999/02/16 v3.0i Driver-dependant file (DPC,SPQR)
 ))
 \Gin@req@height=\dimen107
 \Gin@req@width=\dimen108
 )

-(/usr/share/texmf-texlive/tex/latex/graphics/color.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/graphics/color.sty

 Package: color 2005/11/14 v1.0j Standard LaTeX Color (DPC)
 
 Package: color 2005/11/14 v1.0j Standard LaTeX Color (DPC)
 

-(/etc/texmf/tex/latex/config/color.cfg
+(/usr/lib/texlive/texmf-dist/tex/latex/latexconfig/color.cfg

 File: color.cfg 2007/01/18 v1.5 color configuration of teTeX/TeXLive
 )
 Package color Info: Driver file: dvips.def on input line 130.
 
 File: color.cfg 2007/01/18 v1.5 color configuration of teTeX/TeXLive
 )
 Package color Info: Driver file: dvips.def on input line 130.
 

-(/usr/share/texmf-texlive/tex/latex/graphics/dvipsnam.def
+(/usr/lib/texlive/texmf-dist/tex/latex/graphics/dvipsnam.def

 File: dvipsnam.def 1999/02/16 v3.0i Driver-dependant file (DPC,SPQR)
 ))
 File: dvipsnam.def 1999/02/16 v3.0i Driver-dependant file (DPC,SPQR)
 ))

-(/usr/share/texmf-texlive/tex/latex/mh/xfrac.sty
-(/usr/share/texmf-texlive/tex/latex/expl3/expl3.sty
-(/usr/share/texmf-texlive/tex/latex/expl3/l3names.sty
-Package: l3names 2009/08/08 v1452 L3 Experimental Naming Scheme for TeX Primiti
-ves
-)
-Package: expl3 2009/08/12 v1458 L3 Experimental code bundle wrapper
+(/usr/lib/texlive/texmf-dist/tex/latex/l3packages/xfrac/xfrac.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
+Package: amstext 2000/06/29 v2.01

 
 

-(/usr/share/texmf-texlive/tex/latex/expl3/l3basics.sty
-Package: l3basics 2009/08/08 v1453 L3 Experimental basic definitions
-Defining \cs_set_nopar:cpn on line 475
-Defining \cs_set_nopar:cpx on line 476
-Defining \cs_gset_nopar:cpn on line 477
-Defining \cs_gset_nopar:cpx on line 478
-Defining \cs_new_nopar:cpn on line 479
-Defining \cs_new_nopar:cpx on line 480
-Defining \cs_gnew_nopar:cpn on line 481
-Defining \cs_gnew_nopar:cpx on line 482
-Defining \cs_set:cpn on line 483
-Defining \cs_set:cpx on line 484
-Defining \cs_gset:cpn on line 485
-Defining \cs_gset:cpx on line 486
-Defining \cs_new:cpn on line 487
-Defining \cs_new:cpx on line 488
-Defining \cs_gnew:cpn on line 489
-Defining \cs_gnew:cpx on line 490
-Defining \cs_set_protected_nopar:cpn on line 491
-Defining \cs_set_protected_nopar:cpx on line 492
-Defining \cs_gset_protected_nopar:cpn on line 493
-Defining \cs_gset_protected_nopar:cpx on line 494
-Defining \cs_new_protected_nopar:cpn on line 495
-Defining \cs_new_protected_nopar:cpx on line 496
-Defining \cs_gnew_protected_nopar:cpn on line 497
-Defining \cs_gnew_protected_nopar:cpx on line 498
-Defining \cs_set_protected:cpn on line 499
-Defining \cs_set_protected:cpx on line 500
-Defining \cs_gset_protected:cpn on line 501
-Defining \cs_gset_protected:cpx on line 502
-Defining \cs_new_protected:cpn on line 503
-Defining \cs_new_protected:cpx on line 504
-Defining \cs_gnew_protected:cpn on line 505
-Defining \cs_gnew_protected:cpx on line 506
-Defining \cs_new_eq:NN on line 523
-Defining \cs_new_eq:cN on line 527
-Defining \cs_new_eq:Nc on line 528
-Defining \cs_new_eq:cc on line 529
-Defining \cs_gset_eq:NN on line 530
-Defining \cs_gset_eq:Nc on line 531
-Defining \cs_gset_eq:cN on line 532
-Defining \cs_gset_eq:cc on line 533
-Defining \cs_gnew_eq:NN on line 534
-Defining \cs_gnew_eq:cN on line 538
-Defining \cs_gnew_eq:Nc on line 539
-Defining \cs_gnew_eq:cc on line 540
-Defining \cs_gundefine:N on line 541
-Defining \cs_gundefine:c on line 542
-Defining \c_xetex_is_engine_bool on line 548
-Defining \xetex_if_engine:TF on line 553
-Defining \xetex_if_engine:T on line 553
-Defining \xetex_if_engine:F on line 553
-Defining \c_luatex_is_engine_bool on line 557
-Defining \prg_do_nothing: on line 567
-Defining \cs_if_eq_p:cN on line 710
-Defining \cs_if_eq:cNTF on line 711
-Defining \cs_if_eq:cNT on line 712
-Defining \cs_if_eq:cNF on line 713
-Defining \cs_if_eq_p:Nc on line 714
-Defining \cs_if_eq:NcTF on line 715
-Defining \cs_if_eq:NcT on line 716
-Defining \cs_if_eq:NcF on line 717
-Defining \cs_if_eq_p:cc on line 718
-Defining \cs_if_eq:ccTF on line 719
-Defining \cs_if_eq:ccT on line 720
-Defining \cs_if_eq:ccF on line 721
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3expan.sty
-Package: l3expan 2009/08/16 v1464 L3 Experimental Argument Expansion module
-Defining \l_exp_tl on line 56
-Defining \exp_arg_next:nnn on line 57
-Defining \exp_arg_next_nobrace:nnn on line 60
-Defining \::: on line 63
-Defining \::n on line 64
-Defining \::N on line 67
-Defining \::c on line 70
-Defining \::o on line 73
-Defining \::f on line 76
-Defining \exp_stop_f: on line 81
-Defining \exp_arg:x on line 82
-Defining \::x on line 93
-Defining \::V on line 94
-Defining \::v on line 102
-Defining \exp_args:No on line 129
-Defining \exp_args:NNo on line 130
-Defining \exp_args:NNNo on line 132
-Defining \exp_args:cc on line 135
-Defining \exp_args:NNc on line 136
-Defining \exp_args:Ncc on line 138
-Defining \exp_args:Nccc on line 140
-Defining \exp_args:Nco on line 143
-Defining \exp_not:o on line 192
-Defining \exp_not:d on line 193
-Defining \exp_not:f on line 196
-Defining \exp_not:v on line 199
-Defining \exp_not:V on line 202
-Defining \exp_not:c on line 205
-Defining \cs_generate_variant:Nn on line 206
-Defining \cs_generate_internal_variant:n on line 242
-Defining \cs_generate_internal_variant_aux:n on line 248
-Defining \exp_arg_last_unbraced:nn on line 255
-Defining \::f_unbraced on line 256
-Defining \::o_unbraced on line 260
-Defining \::V_unbraced on line 263
-Defining \::v_unbraced on line 267
-Defining \exp_last_unbraced:Nf on line 273
-Defining \exp_last_unbraced:NV on line 274
-Defining \exp_last_unbraced:Nv on line 275
-Defining \exp_last_unbraced:NcV on line 276
-Defining \exp_last_unbraced:NNo on line 279
-Defining \exp_last_unbraced:NNV on line 282
-Defining \exp_last_unbraced:NNNo on line 285
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3tl.sty
-Package: l3tl 2009/09/03 v1505 L3 Experimental Token Lists
-Defining \tl_new:Nn on line 56
-Defining \tl_new:cn on line 60
-Defining \exp_args:Ncn on line 60
-Defining \tl_new:Nx on line 61
-Defining \tl_new:N on line 65
-Defining \tl_new:c on line 66
-Defining \tl_use:N on line 67
-Defining \tl_use:c on line 75
-Defining \tl_show:N on line 76
-Defining \tl_show:c on line 77
-Defining \tl_set:Nn on line 79
-Defining \tl_set:Nx on line 80
-Defining \tl_gset:Nn on line 81
-Defining \tl_gset:Nx on line 82
-Defining \tl_set:NV on line 83
-Defining \tl_set:No on line 83
-Defining \tl_set:Nv on line 83
-Defining \tl_set:Nf on line 83
-Defining \tl_set:cn on line 83
-Defining \tl_set:cV on line 83
-Defining \exp_args:NcV on line 83
-Defining \tl_set:co on line 83
-Defining \tl_set:cx on line 83
-Defining \tl_gset:NV on line 84
-Defining \tl_gset:No on line 84
-Defining \tl_gset:Nv on line 84
-Defining \tl_gset:cn on line 84
-Defining \tl_gset:cx on line 84
-Defining \tl_set_eq:NN on line 85
-Defining \tl_gset_eq:NN on line 86
-Defining \tl_set_eq:Nc on line 87
-Defining \tl_set_eq:cN on line 87
-Defining \tl_set_eq:cc on line 87
-Defining \tl_gset_eq:Nc on line 88
-Defining \tl_gset_eq:cN on line 88
-Defining \tl_gset_eq:cc on line 88
-Defining \tl_clear:N on line 89
-Defining \tl_clear:c on line 90
-Defining \tl_gclear:N on line 91
-Defining \tl_gclear:c on line 92
-Defining \tl_clear_new:N on line 93
-Defining \tl_clear_new:c on line 94
-Defining \tl_gclear_new:N on line 95
-Defining \tl_gclear_new:c on line 96
-Defining \tl_put_left:Nn on line 97
-Defining \tl_put_left:NV on line 101
-Defining \tl_put_left:No on line 104
-Defining \tl_put_left:Nx on line 108
-Defining \tl_gput_left:Nn on line 111
-Defining \tl_gput_left:NV on line 115
-Defining \tl_gput_left:No on line 118
-Defining \tl_gput_left:Nx on line 122
-Defining \tl_put_left:cn on line 125
-Defining \tl_put_left:co on line 125
-Defining \tl_put_left:cV on line 125
-Defining \tl_gput_left:cn on line 126
-Defining \tl_gput_left:co on line 126
-Defining \tl_gput_left:cV on line 127
-Defining \tl_put_right:Nn on line 128
-Defining \tl_gput_right:Nn on line 132
-Defining \tl_put_right:NV on line 136
-Defining \tl_put_right:No on line 139
-Defining \tl_gput_right:NV on line 143
-Defining \tl_gput_right:No on line 146
-Defining \tl_put_right:cn on line 156
-Defining \tl_put_right:co on line 156
-Defining \tl_put_right:cV on line 157
-Defining \tl_gput_right:cn on line 158
-Defining \tl_gput_right:co on line 158
-Defining \tl_gput_right:cV on line 158
-Defining \tl_gset:Nc on line 159
-Defining \tl_set:Nc on line 162
-Defining \c_job_name_tl on line 163
-Defining \c_empty_tl on line 164
-Defining \g_tmpa_tl on line 165
-Defining \g_tmpb_tl on line 166
-Defining \l_testa_tl on line 167
-Defining \l_testb_tl on line 168
-Defining \g_testa_tl on line 169
-Defining \g_testb_tl on line 170
-Defining \l_tmpa_tl on line 171
-Defining \l_tmpb_tl on line 172
-Defining \tl_if_empty_p:c on line 177
-Defining \tl_if_empty:cTF on line 178
-Defining \tl_if_empty:cT on line 179
-Defining \tl_if_empty:cF on line 180
-Defining \tl_if_eq_p:NN on line 183
-Defining \tl_if_eq:NNTF on line 183
-Defining \tl_if_eq:NNT on line 183
-Defining \tl_if_eq:NNF on line 183
-Defining \tl_if_eq_p:Nc on line 184
-Defining \tl_if_eq_p:cN on line 184
-Defining \tl_if_eq_p:cc on line 184
-Defining \tl_if_eq:NcTF on line 185
-Defining \tl_if_eq:cNTF on line 185
-Defining \tl_if_eq:ccTF on line 185
-Defining \tl_if_eq:NcT on line 186
-Defining \tl_if_eq:cNT on line 186
-Defining \tl_if_eq:ccT on line 186
-Defining \tl_if_eq:NcF on line 187
-Defining \tl_if_eq:cNF on line 187
-Defining \tl_if_eq:ccF on line 187
-Defining \tl_if_empty_p:n on line 191
-Defining \tl_if_empty:nTF on line 191
-Defining \tl_if_empty:nT on line 191
-Defining \tl_if_empty:nF on line 191
-Defining \tl_if_empty_p:V on line 192
-Defining \tl_if_empty:VTF on line 193
-Defining \tl_if_empty:VT on line 194
-Defining \tl_if_empty:VF on line 195
-Defining \tl_if_empty_p:o on line 196
-Defining \tl_if_empty:oTF on line 197
-Defining \tl_if_empty:oT on line 198
-Defining \tl_if_empty:oF on line 199
-Defining \tl_if_blank_p:n on line 202
-Defining \tl_if_blank:nTF on line 202
-Defining \tl_if_blank:nT on line 202
-Defining \tl_if_blank:nF on line 202
-Defining \tl_if_blank_p_aux:w on line 203
-Defining \tl_if_blank_p:V on line 206
-Defining \tl_if_blank:VTF on line 207
-Defining \tl_if_blank:VT on line 208
-Defining \tl_if_blank:VF on line 209
-Defining \tl_if_blank_p:o on line 210
-Defining \tl_if_blank:oTF on line 211
-Defining \tl_if_blank:oT on line 212
-Defining \tl_if_blank:oF on line 213
-Defining \tl_compare:xx on line 214
-Defining \tl_compare:nn on line 215
-Defining \tl_compare:nx on line 218
-Defining \tl_compare:xn on line 221
-Defining \tl_compare:nV on line 224
-Defining \tl_compare:no on line 227
-Defining \tl_compare:Vn on line 230
-Defining \tl_compare:on on line 233
-Defining \tl_compare:VV on line 236
-Defining \tl_compare:oo on line 239
-Defining \tl_compare:xV on line 242
-Defining \tl_compare:xo on line 245
-Defining \tl_compare:Vx on line 248
-Defining \tl_compare:ox on line 251
-Defining \tl_if_eq_p:xx on line 265
-Defining \tl_if_eq:xxTF on line 265
-Defining \tl_if_eq:xxT on line 265
-Defining \tl_if_eq:xxF on line 265
-Defining \tl_if_eq_p:nx on line 265
-Defining \tl_if_eq:nxTF on line 265
-Defining \tl_if_eq:nxT on line 265
-Defining \tl_if_eq:nxF on line 265
-Defining \tl_if_eq_p:ox on line 265
-Defining \tl_if_eq:oxTF on line 265
-Defining \tl_if_eq:oxT on line 265
-Defining \tl_if_eq:oxF on line 265
-Defining \tl_if_eq_p:Vx on line 265
-Defining \tl_if_eq:VxTF on line 265
-Defining \tl_if_eq:VxT on line 265
-Defining \tl_if_eq:VxF on line 265
-Defining \tl_if_eq_p:xn on line 266
-Defining \tl_if_eq:xnTF on line 266
-Defining \tl_if_eq:xnT on line 266
-Defining \tl_if_eq:xnF on line 266
-Defining \tl_if_eq_p:nn on line 266
-Defining \tl_if_eq:nnTF on line 266
-Defining \tl_if_eq:nnT on line 266
-Defining \tl_if_eq:nnF on line 266
-Defining \tl_if_eq_p:on on line 266
-Defining \tl_if_eq:onTF on line 266
-Defining \tl_if_eq:onT on line 266
-Defining \tl_if_eq:onF on line 266
-Defining \tl_if_eq_p:Vn on line 266
-Defining \tl_if_eq:VnTF on line 266
-Defining \tl_if_eq:VnT on line 266
-Defining \tl_if_eq:VnF on line 266
-Defining \tl_if_eq_p:xo on line 267
-Defining \tl_if_eq:xoTF on line 267
-Defining \tl_if_eq:xoT on line 267
-Defining \tl_if_eq:xoF on line 267
-Defining \tl_if_eq_p:no on line 267
-Defining \tl_if_eq:noTF on line 267
-Defining \tl_if_eq:noT on line 267
-Defining \tl_if_eq:noF on line 267
-Defining \tl_if_eq_p:oo on line 267
-Defining \tl_if_eq:ooTF on line 267
-Defining \tl_if_eq:ooT on line 267
-Defining \tl_if_eq:ooF on line 267
-Defining \tl_if_eq_p:xV on line 268
-Defining \tl_if_eq:xVTF on line 268
-Defining \tl_if_eq:xVT on line 268
-Defining \tl_if_eq:xVF on line 268
-Defining \tl_if_eq_p:nV on line 268
-Defining \tl_if_eq:nVTF on line 268
-Defining \tl_if_eq:nVT on line 268
-Defining \tl_if_eq:nVF on line 268
-Defining \tl_if_eq_p:VV on line 268
-Defining \tl_if_eq:VVTF on line 268
-Defining \tl_if_eq:VVT on line 268
-Defining \tl_if_eq:VVF on line 268
-Defining \tl_to_lowercase:n on line 369
-Defining \tl_to_uppercase:n on line 370
-Defining \tl_to_str:n on line 371
-Defining \tl_to_str:N on line 372
-Defining \tl_to_str_aux:w on line 374
-Defining \tl_to_str:c on line 375
-Defining \tl_map_function:nN on line 376
-Defining \tl_map_function:NN on line 379
-Defining \tl_map_function_aux:Nn on line 383
-Defining \tl_map_function:cN on line 387
-Defining \exp_args:NcN on line 387
-Defining \tl_map_inline:nn on line 388
-Defining \tl_map_inline:Nn on line 397
-Defining \tl_map_inline:cn on line 406
-Defining \g_tl_inline_level_num on line 407
-Defining \tl_map_variable:nNn on line 408
-Defining \tl_map_variable:NNn on line 411
-Defining \tl_map_variable:cNn on line 412
-Defining \tl_map_variable_aux:Nnn on line 413
-Defining \tl_map_break: on line 418
-Defining \tl_reverse:n on line 419
-Defining \tl_reverse_aux:nN on line 422
-Defining \tl_reverse:V on line 426
-Defining \tl_reverse:o on line 426
-Defining \tl_reverse:N on line 427
-Defining \tl_elt_count:n on line 430
-Defining \tl_elt_count:V on line 435
-Defining \tl_elt_count:o on line 435
-Defining \tl_elt_count:N on line 436
-Defining \tl_set_rescan:Nnn on line 441
-Defining \tl_gset_rescan:Nnn on line 442
-Defining \c_two_ats_with_two_catcodes_tl on line 451
-Defining \tl_set_rescan_aux:NNnn on line 452
-Defining \tl_set_rescan:Nnx on line 468
-Defining \tl_gset_rescan:Nnx on line 478
-Defining \tl_rescan:nn on line 486
-Defining \tl_if_in:NnTF on line 500
-Defining \tl_if_in:NnT on line 500
-Defining \tl_if_in:NnF on line 500
-Defining \tl_if_in:cnTF on line 501
-Defining \tl_if_in:cnT on line 502
-Defining \tl_if_in:cnF on line 503
-Defining \tl_if_in:nnTF on line 509
-Defining \tl_if_in:nnT on line 509
-Defining \tl_if_in:nnF on line 509
-Defining \tl_if_in:VnTF on line 510
-Defining \tl_if_in:VnT on line 511
-Defining \tl_if_in:VnF on line 512
-Defining \tl_if_in:onTF on line 513
-Defining \tl_if_in:onT on line 514
-Defining \tl_if_in:onF on line 515
-Defining \tl_replace_in_aux:NNnn on line 517
-Defining \tl_replace_in:Nnn on line 532
-Defining \tl_replace_in:cnn on line 533
-Defining \exp_args:Ncnn on line 533
-Defining \tl_greplace_in:Nnn on line 534
-Defining \tl_greplace_in:cnn on line 535
-Defining \tl_replace_all_in:Nnn on line 552
-Defining \tl_replace_all_in:cnn on line 554
-Defining \tl_greplace_all_in:Nnn on line 555
-Defining \tl_greplace_all_in:cnn on line 557
-Defining \tl_remove_in:Nn on line 558
-Defining \tl_gremove_in:Nn on line 559
-Defining \tl_remove_in:cn on line 560
-Defining \tl_gremove_in:cn on line 561
-Defining \tl_remove_all_in:Nn on line 562
-Defining \tl_gremove_all_in:Nn on line 565
-Defining \tl_remove_all_in:cn on line 568
-Defining \tl_gremove_all_in:cn on line 569
-Defining \tl_head:n on line 570
-Defining \tl_head_i:n on line 571
-Defining \tl_tail:n on line 572
-Defining \tl_tail:f on line 573
-Defining \tl_head_iii:n on line 574
-Defining \tl_head_iii:f on line 575
-Defining \tl_head:w on line 576
-Defining \tl_head_i:w on line 577
-Defining \tl_tail:w on line 578
-Defining \tl_head_iii:w on line 579
-Defining \tl_head:V on line 580
-Defining \tl_tail:V on line 581
-Defining \tl_if_head_eq_meaning_p:nN on line 585
-Defining \tl_if_head_eq_meaning:nNTF on line 585
-Defining \tl_if_head_eq_meaning:nNT on line 585
-Defining \tl_if_head_eq_meaning:nNF on line 585
-Defining \tl_if_head_eq_charcode_p:nN on line 590
-Defining \tl_if_head_eq_charcode:nNTF on line 590
-Defining \tl_if_head_eq_charcode:nNT on line 590
-Defining \tl_if_head_eq_charcode:nNF on line 590
-Defining \tl_if_head_eq_charcode_p:fN on line 600
-Defining \tl_if_head_eq_charcode:fNTF on line 601
-Defining \tl_if_head_eq_charcode:fNT on line 602
-Defining \tl_if_head_eq_charcode:fNF on line 603
-Defining \tl_if_head_eq_catcode_p:nN on line 608
-Defining \tl_if_head_eq_catcode:nNTF on line 608
-Defining \tl_if_head_eq_catcode:nNT on line 608
-Defining \tl_if_head_eq_catcode:nNF on line 608
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3num.sty
-Package: l3num 2009/08/08 v1451 L3 Experimental token numbers
-Defining \if_num:w on line 56
-Defining \if_case:w on line 57
-Defining \num_incr:c on line 62
-Defining \num_decr:c on line 63
-Defining \num_gincr:c on line 64
-Defining \num_gdecr:c on line 65
-Defining \num_zero:N on line 66
-Defining \num_gzero:N on line 67
-Defining \num_zero:c on line 68
-Defining \num_gzero:c on line 69
-Defining \num_new:N on line 70
-Defining \num_new:c on line 71
-Defining \num_set:Nn on line 72
-Defining \num_set:cn on line 75
-Defining \num_gset:Nn on line 76
-Defining \num_gset:cn on line 77
-Defining \num_set_eq:NN on line 78
-Defining \num_set_eq:cN on line 79
-Defining \num_set_eq:Nc on line 79
-Defining \num_set_eq:cc on line 79
-Defining \num_gset_eq:NN on line 80
-Defining \num_gset_eq:cN on line 81
-Defining \num_gset_eq:Nc on line 81
-Defining \num_gset_eq:cc on line 81
-Defining \num_add:Nn on line 82
-Defining \num_add:cn on line 83
-Defining \num_gadd:Nn on line 84
-Defining \num_gadd:cn on line 85
-Defining \num_use:N on line 86
-Defining \num_use:c on line 87
-Defining \num_show:N on line 88
-Defining \num_show:c on line 89
-Defining \num_elt_count:n on line 90
-Defining \num_elt_count_prop:Nn on line 91
-Defining \l_tmpa_num on line 92
-Defining \l_tmpb_num on line 93
-Defining \l_tmpc_num on line 94
-Defining \g_tmpa_num on line 95
-Defining \g_tmpb_num on line 96
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3intexpr.sty
-Package: l3intexpr 2009/03/20 v1086 L3 Integer Expressions
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3quark.sty
-Package: l3quark 2009/05/31 v1365 L3 Experimental Quark Commands
-Defining \quark_new:N on line 56
-Defining \q_stop on line 57
-Defining \q_no_value on line 58
-Defining \q_nil on line 59
-Defining \q_error on line 60
-Defining \q_mark on line 61
-Defining \q_recursion_tail on line 62
-Defining \q_recursion_stop on line 63
-Defining \quark_if_recursion_tail_stop:n on line 64
-Defining \quark_if_recursion_tail_stop:N on line 70
-Defining \quark_if_recursion_tail_stop:o on line 75
-Defining \quark_if_recursion_tail_stop_do:nn on line 76
-Defining \quark_if_recursion_tail_stop_do:Nn on line 85
-Defining \quark_if_recursion_tail_stop_do:on on line 93
-Defining \exp_args:Non on line 93
-Defining \quark_if_recursion_tail_aux:w on line 94
-Defining \quark_if_no_value_p:N on line 98
-Defining \quark_if_no_value:NTF on line 98
-Defining \quark_if_no_value:NT on line 98
-Defining \quark_if_no_value:NF on line 98
-Defining \quark_if_no_value_p:n on line 118
-Defining \quark_if_no_value:nTF on line 118
-Defining \quark_if_no_value:nT on line 118
-Defining \quark_if_no_value:nF on line 118
-Defining \quark_if_nil_p:N on line 121
-Defining \quark_if_nil:NTF on line 121
-Defining \quark_if_nil:NT on line 121
-Defining \quark_if_nil:NF on line 121
-Defining \quark_if_nil_p:n on line 140
-Defining \quark_if_nil:nTF on line 140
-Defining \quark_if_nil:nT on line 140
-Defining \quark_if_nil:nF on line 140
-Defining \quark_if_nil_p:V on line 141
-Defining \quark_if_nil:VTF on line 142
-Defining \quark_if_nil:VT on line 143
-Defining \quark_if_nil:VF on line 144
-Defining \quark_if_nil_p:o on line 145
-Defining \quark_if_nil:oTF on line 146
-Defining \quark_if_nil:oT on line 147
-Defining \quark_if_nil:oF on line 148
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3seq.sty
-Package: l3seq 2009/06/17 v1415 L3 Experimental sequences and stacks
-Defining \seq_elt:w on line 56
-Defining \seq_elt_end: on line 57
-Defining \seq_new:N on line 58
-Defining \seq_new:c on line 59
-Defining \seq_clear:N on line 60
-Defining \seq_clear:c on line 61
-Defining \seq_gclear:N on line 62
-Defining \seq_gclear:c on line 63
-Defining \seq_clear_new:N on line 64
-Defining \seq_clear_new:c on line 65
-Defining \seq_gclear_new:N on line 66
-Defining \seq_gclear_new:c on line 67
-Defining \seq_set_eq:NN on line 68
-Defining \seq_set_eq:cN on line 69
-Defining \seq_set_eq:Nc on line 70
-Defining \seq_set_eq:cc on line 71
-Defining \seq_gset_eq:NN on line 72
-Defining \seq_gset_eq:cN on line 73
-Defining \seq_gset_eq:Nc on line 74
-Defining \seq_gset_eq:cc on line 75
-Defining \seq_gconcat:NNN on line 76
-Defining \seq_gconcat:ccc on line 79
-Defining \seq_if_empty_p:N on line 80
-Defining \seq_if_empty:NTF on line 80
-Defining \seq_if_empty:NT on line 80
-Defining \seq_if_empty:NF on line 80
-Defining \seq_if_empty_p:c on line 81
-Defining \seq_if_empty:cTF on line 81
-Defining \seq_if_empty:cT on line 81
-Defining \seq_if_empty:cF on line 81
-Defining \seq_if_empty_err:N on line 82
-Defining \seq_if_in:NnTF on line 94
-Defining \seq_if_in:NnT on line 94
-Defining \seq_if_in:NnF on line 94
-Defining \seq_if_in:cVTF on line 95
-Defining \seq_if_in:coTF on line 95
-Defining \seq_if_in:cnTF on line 95
-Defining \seq_if_in:cxTF on line 95
-Defining \seq_if_in:cVT on line 96
-Defining \seq_if_in:coT on line 96
-Defining \seq_if_in:cnT on line 96
-Defining \seq_if_in:cxT on line 96
-Defining \seq_if_in:cVF on line 97
-Defining \seq_if_in:coF on line 97
-Defining \seq_if_in:cnF on line 97
-Defining \seq_if_in:cxF on line 97
-Defining \seq_get:NN on line 98
-Defining \seq_get_aux:w on line 102
-Defining \seq_get:cN on line 105
-Defining \seq_pop_aux:nnNN on line 106
-Defining \seq_pop_aux:w on line 110
-Defining \seq_show:N on line 115
-Defining \seq_show:c on line 116
-Defining \seq_display:N on line 117
-Defining \seq_display:c on line 131
-Defining \seq_put_aux:Nnn on line 132
-Defining \seq_put_aux:w on line 135
-Defining \seq_put_left:Nn on line 136
-Defining \seq_put_left:NV on line 139
-Defining \seq_put_left:No on line 139
-Defining \seq_put_left:Nx on line 139
-Defining \seq_put_left:cn on line 139
-Defining \seq_put_left:cV on line 139
-Defining \seq_put_left:co on line 139
-Defining \seq_put_right:Nn on line 140
-Defining \seq_put_right:NV on line 142
-Defining \seq_put_right:No on line 142
-Defining \seq_put_right:Nx on line 142
-Defining \seq_put_right:cn on line 142
-Defining \seq_put_right:cV on line 142
-Defining \seq_put_right:co on line 142
-Defining \seq_gput_left:Nn on line 143
-Defining \seq_gput_right:Nn on line 147
-Defining \seq_gput_left:NV on line 151
-Defining \seq_gput_left:No on line 151
-Defining \seq_gput_left:Nx on line 151
-Defining \seq_gput_left:cn on line 151
-Defining \seq_gput_left:cV on line 151
-Defining \seq_gput_left:co on line 151
-Defining \seq_gput_right:NV on line 152
-Defining \seq_gput_right:No on line 152
-Defining \seq_gput_right:Nx on line 152
-Defining \seq_gput_right:cn on line 152
-Defining \seq_gput_right:cV on line 152
-Defining \seq_gput_right:co on line 152
-Defining \seq_gput_right:Nc on line 153
-Defining \seq_map_variable_aux:Nnw on line 154
-Defining \seq_map_variable:NNn on line 160
-Defining \seq_map_variable:cNn on line 164
-Defining \seq_map_break: on line 166
-Defining \seq_map_break:n on line 167
-Defining \seq_map_function:NN on line 168
-Defining \seq_map_function:cN on line 173
-Defining \seq_map_inline:Nn on line 174
-Defining \seq_map_inline:cn on line 179
-Defining \l_seq_remove_seq on line 180
-Defining \seq_remove_duplicates_aux:NN on line 185
-Defining \seq_remove_duplicates_aux:n on line 190
-Defining \seq_remove_duplicates:N on line 191
-Defining \seq_gremove_duplicates:N on line 194
-Defining \seq_push:Nn on line 197
-Defining \seq_push:NV on line 198
-Defining \seq_push:No on line 199
-Defining \seq_push:cn on line 200
-Defining \seq_pop:NN on line 201
-Defining \seq_pop:cN on line 202
-Defining \seq_gpush:Nn on line 203
-Defining \seq_gpop:NN on line 204
-Defining \seq_gpush:NV on line 205
-Defining \seq_gpush:No on line 205
-Defining \seq_gpush:cn on line 205
-Defining \seq_gpush:Nv on line 205
-Defining \seq_gpop:cN on line 206
-Defining \seq_top:NN on line 207
-Defining \seq_top:cN on line 208
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3toks.sty
-Package: l3toks 2009/06/14 v1412 L3 Experimental Token Registers
-Defining \toks_new:c on line 57
-Defining \toks_use:N on line 58
-Defining \toks_use:c on line 59
-Defining \toks_set:Nn on line 60
-Defining \toks_set:NV on line 61
-Defining \toks_set:Nv on line 64
-Defining \toks_set:No on line 67
-Defining \toks_set:Nf on line 68
-Defining \toks_set:Nx on line 71
-Defining \toks_set:cn on line 71
-Defining \toks_set:cV on line 71
-Defining \toks_set:cv on line 71
-Defining \exp_args:Ncv on line 71
-Defining \toks_set:co on line 71
-Defining \toks_set:cx on line 71
-Defining \toks_set:cf on line 71
-Defining \toks_gset:Nn on line 72
-Defining \toks_gset:NV on line 73
-Defining \toks_gset:No on line 73
-Defining \toks_gset:Nx on line 73
-Defining \toks_gset:cn on line 73
-Defining \toks_gset:cV on line 73
-Defining \toks_gset:co on line 73
-Defining \toks_gset:cx on line 73
-Defining \toks_set_eq:NN on line 74
-Defining \toks_gset_eq:NN on line 75
-Defining \toks_set_eq:Nc on line 76
-Defining \toks_set_eq:cN on line 76
-Defining \toks_set_eq:cc on line 76
-Defining \toks_gset_eq:Nc on line 77
-Defining \toks_gset_eq:cN on line 77
-Defining \toks_gset_eq:cc on line 77
-Defining \toks_clear:N on line 78
-Defining \toks_gclear:N on line 81
-Defining \toks_clear:c on line 85
-Defining \toks_gclear:c on line 86
-Defining \toks_use_clear:N on line 87
-Defining \toks_use_gclear:N on line 90
-Defining \toks_use_clear:c on line 94
-Defining \toks_use_gclear:c on line 95
-Defining \toks_show:N on line 96
-Defining \toks_show:c on line 97
-Defining \toks_put_left:Nn on line 98
-Defining \toks_put_left:NV on line 102
-Defining \toks_put_left:No on line 102
-Defining \toks_put_left:Nx on line 102
-Defining \toks_put_left:cn on line 102
-Defining \toks_put_left:co on line 102
-Defining \toks_put_left:cV on line 102
-Defining \toks_gput_left:Nn on line 103
-Defining \toks_gput_left:NV on line 107
-Defining \toks_gput_left:No on line 107
-Defining \toks_gput_left:Nx on line 107
-Defining \toks_gput_left:cn on line 107
-Defining \toks_gput_left:cV on line 107
-Defining \toks_gput_left:co on line 107
-Defining \toks_put_left_aux:w on line 108
-Defining \toks_put_right:Nn on line 111
-Defining \toks_gput_right:Nn on line 114
-Defining \toks_put_right:NV on line 118
-Defining \toks_put_right:No on line 124
-Defining \toks_put_right:Nx on line 129
-Defining \toks_put_right:cn on line 129
-Defining \toks_put_right:cV on line 129
-Defining \toks_put_right:co on line 129
-Defining \toks_gput_right:NV on line 130
-Defining \toks_gput_right:No on line 130
-Defining \toks_gput_right:Nx on line 130
-Defining \toks_gput_right:cn on line 130
-Defining \toks_gput_right:cV on line 130
-Defining \toks_gput_right:co on line 130
-Defining \toks_put_right:Nf on line 131
-Defining \toks_if_empty_p:N on line 138
-Defining \toks_if_empty:NTF on line 138
-Defining \toks_if_empty:NT on line 138
-Defining \toks_if_empty:NF on line 138
-Defining \toks_if_empty_p:c on line 139
-Defining \toks_if_empty:cTF on line 140
-Defining \toks_if_empty:cT on line 141
-Defining \toks_if_empty:cF on line 142
-Defining \toks_if_eq_p:NN on line 146
-Defining \toks_if_eq:NNTF on line 146
-Defining \toks_if_eq:NNT on line 146
-Defining \toks_if_eq:NNF on line 146
-Defining \toks_if_eq_p:Nc on line 147
-Defining \toks_if_eq_p:cN on line 147
-Defining \toks_if_eq_p:cc on line 147
-Defining \toks_if_eq:NcTF on line 148
-Defining \toks_if_eq:cNTF on line 148
-Defining \toks_if_eq:ccTF on line 148
-Defining \toks_if_eq:NcT on line 149
-Defining \toks_if_eq:cNT on line 149
-Defining \toks_if_eq:ccT on line 149
-Defining \toks_if_eq:NcF on line 150
-Defining \toks_if_eq:cNF on line 150
-Defining \toks_if_eq:ccF on line 150
-\l_tmpb_toks=\toks18
-\l_tmpc_toks=\toks19
-\g_tmpa_toks=\toks20
-\g_tmpb_toks=\toks21
-\g_tmpc_toks=\toks22
-\c_empty_toks=\toks23
-\l_tl_replace_toks=\toks24
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3int.sty
-Package: l3int 2009/05/28 v1362 L3 Experimental Integer module
-Defining \int_to_roman:w on line 56
-Defining \int_to_number:w on line 57
-Defining \int_advance:w on line 58
-Defining \int_new:N on line 59
-Defining \int_new:c on line 63
-Defining \int_set:Nn on line 64
-Defining \int_gset:Nn on line 66
-Defining \int_set:cn on line 69
-Defining \int_gset:cn on line 70
-Defining \int_incr:N on line 71
-Defining \int_decr:N on line 73
-Defining \int_gincr:N on line 75
-Defining \int_gdecr:N on line 78
-Defining \int_incr:c on line 85
-Defining \int_decr:c on line 86
-Defining \int_gincr:c on line 87
-Defining \int_gdecr:c on line 88
-Defining \int_zero:N on line 89
-Defining \int_zero:c on line 90
-Defining \int_gzero:N on line 91
-Defining \int_gzero:c on line 92
-Defining \int_add:Nn on line 93
-Defining \int_sub:Nn on line 96
-Defining \int_gadd:Nn on line 99
-Defining \int_gsub:Nn on line 102
-Defining \int_add:cn on line 105
-Defining \int_gadd:cn on line 106
-Defining \int_sub:cn on line 107
-Defining \int_gsub:cn on line 108
-Defining \int_use:N on line 109
-Defining \int_use:c on line 110
-Defining \int_show:N on line 111
-Defining \int_show:c on line 112
-Defining \int_to_arabic:n on line 113
-Defining \int_roman_lcuc_mapping:Nnn on line 114
-Defining \int_to_roman:n on line 126
-Defining \int_to_Roman:n on line 130
-Defining \int_to_roman_lcuc:NN on line 134
-Defining \int_alph_default_conversion_rule:n on line 148
-Defining \int_Alph_default_conversion_rule:n on line 157
-Defining \int_to_alph:n on line 166
-Defining \int_to_Alph:n on line 170
-Defining \int_to_symbol:n on line 174
-Defining \int_symbol_math_conversion_rule:n on line 185
-Defining \int_symbol_text_conversion_rule:n on line 198
-Defining \l_tmpa_int on line 211
-\l_tmpa_int=\count95
-Defining \l_tmpb_int on line 212
-\l_tmpb_int=\count96
-Defining \l_tmpc_int on line 213
-\l_tmpc_int=\count97
-Defining \g_tmpa_int on line 214
-\g_tmpa_int=\count98
-Defining \g_tmpb_int on line 215
-\g_tmpb_int=\count99
-Defining \int_const:Nn on line 221
-Defining \c_one on line 234
-Defining \c_two on line 235
-Defining \c_three on line 236
-Defining \c_four on line 237
-Defining \c_five on line 238
-Defining \c_six on line 239
-Defining \c_seven on line 240
-Defining \c_eight on line 241
-Defining \c_nine on line 242
-Defining \c_ten on line 243
-Defining \c_eleven on line 244
-Defining \c_twelve on line 245
-Defining \c_thirteen on line 246
-Defining \c_fourteen on line 247
-Defining \c_fifteen on line 248
-Defining \c_thirty_two on line 250
-Defining \c_hundred_one on line 251
-Defining \c_twohundred_fifty_five on line 252
-Defining \c_twohundred_fifty_six on line 253
-Defining \c_thousand on line 254
-Defining \c_ten_thousand on line 255
-Defining \c_ten_thousand_one on line 256
-Defining \c_ten_thousand_two on line 257
-Defining \c_ten_thousand_three on line 258
-Defining \c_ten_thousand_four on line 259
-Defining \c_twenty_thousand on line 260
-Defining \c_max_int on line 261
-\c_max_int=\count100
-Defining \int_get_sign_and_digits:n on line 262
-Defining \int_get_sign:n on line 265
-Defining \int_get_digits:n on line 268
-Defining \int_get_sign_and_digits_aux:nNNN on line 271
-Defining \int_get_sign_and_digits_aux:oNNN on line 287
-Defining \exp_args:NoNNN on line 287
-Defining \int_convert_from_base_ten_aux:nnn on line 300
-Defining \int_convert_from_base_ten_aux:nfn on line 313
-Defining \exp_args:Nnfn on line 313
-Defining \int_convert_from_base_ten_aux:ffn on line 314
-Defining \exp_args:Nffn on line 314
-Defining \int_convert_to_base_ten_aux:nn on line 333
-Defining \int_convert_to_base_ten_auxi:nnN on line 336
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3prg.sty
-Package: l3prg 2009/09/20 v1545 L3 Experimental control structures
-Defining \group_align_safe_begin: on line 72
-Defining \group_align_safe_end: on line 74
-Defining \scan_align_safe_stop: on line 75
-Defining \prg_replicate:nn on line 85
-Defining \prg_replicate_aux:N on line 91
-Defining \prg_replicate_first_aux:N on line 94
-Defining \prg_replicate_ on line 97
-Defining \prg_replicate_0:n on line 98
-Defining \prg_replicate_1:n on line 99
-Defining \prg_replicate_2:n on line 100
-Defining \prg_replicate_3:n on line 101
-Defining \prg_replicate_4:n on line 103
-Defining \prg_replicate_5:n on line 105
-Defining \prg_replicate_6:n on line 107
-Defining \prg_replicate_7:n on line 109
-Defining \prg_replicate_8:n on line 111
-Defining \prg_replicate_9:n on line 113
-Defining \prg_replicate_first_0:n on line 115
-Defining \prg_replicate_first_1:n on line 116
-Defining \prg_replicate_first_2:n on line 117
-Defining \prg_replicate_first_3:n on line 118
-Defining \prg_replicate_first_4:n on line 119
-Defining \prg_replicate_first_5:n on line 120
-Defining \prg_replicate_first_6:n on line 121
-Defining \prg_replicate_first_7:n on line 122
-Defining \prg_replicate_first_8:n on line 123
-Defining \prg_replicate_first_9:n on line 124
-Defining \prg_stepwise_function:nnnN on line 125
-Defining \prg_stepwise_function_incr:nnnN on line 131
-Defining \prg_stepwise_function_decr:nnnN on line 140
-Defining \g_prg_inline_level_int on line 149
-\g_prg_inline_level_int=\count101
-Defining \prg_stepwise_inline:nnnn on line 150
-Defining \prg_stepwise_inline_incr:Nnnn on line 160
-Defining \prg_stepwise_inline_decr:Nnnn on line 168
-Defining \prg_stepwise_variable:nnnNn on line 176
-Defining \prg_stepwise_variable_incr:nnnNn on line 182
-Defining \prg_stepwise_variable_decr:nnnNn on line 190
-Defining \bool_new:N on line 198
-Defining \bool_new:c on line 199
-Defining \bool_set_true:N on line 200
-Defining \bool_set_true:c on line 201
-Defining \bool_set_false:N on line 202
-Defining \bool_set_false:c on line 203
-Defining \bool_gset_true:N on line 204
-Defining \bool_gset_true:c on line 205
-Defining \bool_gset_false:N on line 206
-Defining \bool_gset_false:c on line 207
-Defining \bool_set_eq:NN on line 208
-Defining \bool_set_eq:Nc on line 209
-Defining \bool_set_eq:cN on line 210
-Defining \bool_set_eq:cc on line 211
-Defining \bool_gset_eq:NN on line 212
-Defining \bool_gset_eq:Nc on line 213
-Defining \bool_gset_eq:cN on line 214
-Defining \bool_gset_eq:cc on line 215
-Defining \l_tmpa_bool on line 216
-Defining \g_tmpa_bool on line 217
-Defining \bool_if_p:c on line 221
-Defining \bool_if:cTF on line 222
-Defining \bool_if:cT on line 223
-Defining \bool_if:cF on line 224
-Defining \bool_while_do:Nn on line 225
-Defining \bool_while_do:cn on line 228
-Defining \bool_until_do:Nn on line 229
-Defining \bool_until_do:cn on line 232
-Defining \bool_do_while:Nn on line 233
-Defining \bool_do_while:cn on line 236
-Defining \bool_do_until:Nn on line 237
-Defining \bool_do_until:cn on line 240
-Defining \bool_cleanup:N on line 259
-Defining \bool_choose:NN on line 263
-Defining \bool_&_1:w on line 264
-Defining \bool_|_0:w on line 265
-Defining \bool_)_0:w on line 266
-Defining \bool_)_1:w on line 267
-Defining \bool_S_0:w on line 268
-Defining \bool_S_1:w on line 269
-Defining \bool_set:Nn on line 283
-Defining \bool_gset:Nn on line 284
-Defining \bool_set:cn on line 287
-Defining \bool_gset:cn on line 288
-Defining \bool_not_p:n on line 289
-Defining \bool_xor_p:nn on line 290
-Defining \bool_while_do:nn on line 298
-Defining \bool_until_do:nn on line 301
-Defining \bool_do_while:nn on line 304
-Defining \bool_do_until:nn on line 307
-Defining \prg_case_int:nnn on line 310
-Defining \prg_case_int_aux:nnn on line 314
-Defining \prg_case_dim:nnn on line 320
-Defining \prg_case_dim_aux:nnn on line 324
-Defining \prg_case_str:nnn on line 330
-Defining \prg_case_str_aux:nnn on line 334
-Defining \prg_case_tl:Nnn on line 340
-Defining \prg_case_tl_aux:NNn on line 344
-Defining \prg_end_case:nw on line 350
-Defining \prg_define_quicksort:nnn on line 352
-Defining \prg_variable_get_scope:N on line 442
-Defining \prg_variable_get_scope_aux:w on line 442
-Defining \prg_variable_get_type:N on line 459
-Defining \prg_variable_get_type_aux:w on line 459
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3clist.sty
-Package: l3clist 2009/08/05 v1441 L3 Experimental comma separated lists
-Defining \clist_new:N on line 56
-Defining \clist_new:c on line 57
-Defining \clist_clear:N on line 58
-Defining \clist_clear:c on line 59
-Defining \clist_gclear:N on line 60
-Defining \clist_gclear:c on line 61
-Defining \clist_clear_new:N on line 62
-Defining \clist_clear_new:c on line 63
-Defining \clist_gclear_new:N on line 64
-Defining \clist_gclear_new:c on line 65
-Defining \clist_set_eq:NN on line 66
-Defining \clist_set_eq:cN on line 67
-Defining \clist_set_eq:Nc on line 68
-Defining \clist_set_eq:cc on line 69
-Defining \clist_gset_eq:NN on line 70
-Defining \clist_gset_eq:cN on line 71
-Defining \clist_gset_eq:Nc on line 72
-Defining \clist_gset_eq:cc on line 73
-Defining \clist_set_from_seq_aux:NNN on line 74
-Defining \clist_set_from_seq:NN on line 81
-Defining \clist_gset_from_seq:NN on line 82
-Defining \clist_if_empty_p:N on line 83
-Defining \clist_if_empty:NTF on line 83
-Defining \clist_if_empty:NT on line 83
-Defining \clist_if_empty:NF on line 83
-Defining \clist_if_empty_p:c on line 84
-Defining \clist_if_empty:cTF on line 84
-Defining \clist_if_empty:cT on line 84
-Defining \clist_if_empty:cF on line 84
-Defining \clist_if_empty_err:N on line 85
-Defining \clist_if_eq_p:NN on line 91
-Defining \clist_if_eq:NNTF on line 91
-Defining \clist_if_eq:NNT on line 91
-Defining \clist_if_eq:NNF on line 91
-Defining \clist_if_eq_p:cN on line 92
-Defining \clist_if_eq:cNTF on line 92
-Defining \clist_if_eq:cNT on line 92
-Defining \clist_if_eq:cNF on line 92
-Defining \clist_if_eq_p:Nc on line 93
-Defining \clist_if_eq:NcTF on line 93
-Defining \clist_if_eq:NcT on line 93
-Defining \clist_if_eq:NcF on line 93
-Defining \clist_if_eq_p:cc on line 94
-Defining \clist_if_eq:ccTF on line 94
-Defining \clist_if_eq:ccT on line 94
-Defining \clist_if_eq:ccF on line 94
-Defining \clist_if_in:NnTF on line 101
-Defining \clist_if_in:NnT on line 101
-Defining \clist_if_in:NnF on line 101
-Defining \clist_if_in:NVTF on line 102
-Defining \clist_if_in:NoTF on line 102
-Defining \clist_if_in:cnTF on line 102
-Defining \clist_if_in:cVTF on line 102
-Defining \clist_if_in:coTF on line 102
-Defining \clist_if_in:NVT on line 103
-Defining \clist_if_in:NoT on line 103
-Defining \clist_if_in:cnT on line 103
-Defining \clist_if_in:cVT on line 103
-Defining \clist_if_in:coT on line 103
-Defining \clist_if_in:NVF on line 104
-Defining \clist_if_in:NoF on line 104
-Defining \clist_if_in:cnF on line 104
-Defining \clist_if_in:cVF on line 104
-Defining \clist_if_in:coF on line 104
-Defining \clist_use:N on line 105
-Defining \clist_use:c on line 113
-Defining \clist_get:NN on line 114
-Defining \clist_get_aux:w on line 118
-Defining \clist_get:cN on line 119
-Defining \clist_pop_aux:nnNN on line 120
-Defining \clist_pop_aux:w on line 124
-Defining \clist_pop_auxi:w on line 129
-Defining \clist_show:N on line 130
-Defining \clist_show:c on line 131
-Defining \clist_display:N on line 132
-Defining \clist_display:c on line 146
-Defining \clist_put_aux:NNnnNn on line 147
-Defining \clist_put_left:Nn on line 152
-Defining \clist_put_left:NV on line 155
-Defining \clist_put_left:No on line 155
-Defining \clist_put_left:Nx on line 155
-Defining \clist_put_left:cn on line 155
-Defining \clist_put_left:cV on line 155
-Defining \clist_put_left:co on line 155
-Defining \clist_gput_left:Nn on line 156
-Defining \clist_gput_left:NV on line 159
-Defining \clist_gput_left:No on line 159
-Defining \clist_gput_left:Nx on line 159
-Defining \clist_gput_left:cn on line 159
-Defining \clist_gput_left:cV on line 159
-Defining \clist_gput_left:co on line 159
-Defining \clist_put_right:Nn on line 160
-Defining \clist_put_right:NV on line 163
-Defining \clist_put_right:No on line 163
-Defining \clist_put_right:Nx on line 163
-Defining \clist_put_right:cn on line 163
-Defining \clist_put_right:cV on line 163
-Defining \clist_put_right:co on line 163
-Defining \clist_gput_right:Nn on line 164
-Defining \clist_gput_right:NV on line 167
-Defining \clist_gput_right:No on line 167
-Defining \clist_gput_right:Nx on line 167
-Defining \clist_gput_right:cn on line 167
-Defining \clist_gput_right:cV on line 167
-Defining \clist_gput_right:co on line 167
-Defining \clist_map_function:NN on line 168
-Defining \clist_map_function:cN on line 174
-Defining \clist_map_function:nN on line 175
-Defining \clist_map_function_aux:Nw on line 180
-Defining \clist_map_break: on line 185
-Defining \g_clist_inline_level_int on line 186
-\g_clist_inline_level_int=\count102
-Defining \clist_map_inline:Nn on line 187
-Defining \clist_map_inline:cn on line 198
-Defining \clist_map_inline:nn on line 199
-Defining \clist_map_variable:nNn on line 210
-Defining \clist_map_variable:NNn on line 216
-Defining \clist_map_variable:cNn on line 217
-Defining \exp_args:NcNn on line 217
-Defining \clist_map_variable_aux:Nnw on line 218
-Defining \clist_concat_aux:NNNN on line 223
-Defining \clist_concat:NNN on line 232
-Defining \clist_gconcat:NNN on line 233
-Defining \clist_concat:ccc on line 234
-Defining \clist_gconcat:ccc on line 235
-Defining \l_clist_remove_clist on line 236
-Defining \clist_remove_duplicates_aux:NN on line 241
-Defining \clist_remove_duplicates_aux:n on line 246
-Defining \clist_remove_duplicates:N on line 247
-Defining \clist_gremove_duplicates:N on line 250
-Defining \clist_remove_element:Nn on line 253
-Defining \clist_gremove_element:Nn on line 256
-Defining \clist_remove_element_aux:NNn on line 268
-Defining \clist_remove_element_aux:n on line 269
-Defining \clist_push:Nn on line 270
-Defining \clist_push:NV on line 271
-Defining \clist_push:No on line 272
-Defining \clist_push:cn on line 273
-Defining \clist_pop:NN on line 274
-Defining \clist_pop:cN on line 275
-Defining \clist_gpush:Nn on line 276
-Defining \clist_gpush:NV on line 277
-Defining \clist_gpush:No on line 278
-Defining \clist_gpush:cn on line 279
-Defining \clist_gpop:NN on line 280
-Defining \clist_gpop:cN on line 281
-Defining \clist_top:NN on line 282
-Defining \clist_top:cN on line 283
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3token.sty
-Package: l3token 2009/09/22 v1550 L3 Experimental token investigation and manip
-ulation
-Defining \char_set_catcode:w on line 56
-Defining \char_set_catcode:nn on line 57
-Defining \char_value_catcode:w on line 60
-Defining \char_value_catcode:n on line 61
-Defining \char_show_value_catcode:w on line 64
-Defining \char_show_value_catcode:n on line 67
-Defining \char_make_escape:N on line 70
-Defining \char_make_begin_group:N on line 71
-Defining \char_make_end_group:N on line 72
-Defining \char_make_math_shift:N on line 73
-Defining \char_make_alignment:N on line 74
-Defining \char_make_end_line:N on line 75
-Defining \char_make_parameter:N on line 76
-Defining \char_make_math_superscript:N on line 77
-Defining \char_make_math_subscript:N on line 78
-Defining \char_make_ignore:N on line 79
-Defining \char_make_space:N on line 80
-Defining \char_make_letter:N on line 81
-Defining \char_make_other:N on line 82
-Defining \char_make_active:N on line 83
-Defining \char_make_comment:N on line 84
-Defining \char_make_invalid:N on line 85
-Defining \char_make_escape:n on line 86
-Defining \char_make_begin_group:n on line 87
-Defining \char_make_end_group:n on line 88
-Defining \char_make_math_shift:n on line 89
-Defining \char_make_alignment:n on line 90
-Defining \char_make_end_line:n on line 91
-Defining \char_make_parameter:n on line 92
-Defining \char_make_math_superscript:n on line 93
-Defining \char_make_math_subscript:n on line 94
-Defining \char_make_ignore:n on line 95
-Defining \char_make_space:n on line 96
-Defining \char_make_letter:n on line 97
-Defining \char_make_other:n on line 98
-Defining \char_make_active:n on line 99
-Defining \char_make_comment:n on line 100
-Defining \char_make_invalid:n on line 101
-Defining \char_set_mathcode:w on line 102
-Defining \char_set_mathcode:nn on line 103
-Defining \char_gset_mathcode:w on line 106
-Defining \char_gset_mathcode:nn on line 107
-Defining \char_value_mathcode:w on line 110
-Defining \char_value_mathcode:n on line 111
-Defining \char_show_value_mathcode:w on line 114
-Defining \char_show_value_mathcode:n on line 115
-Defining \char_set_lccode:w on line 118
-Defining \char_set_lccode:nn on line 119
-Defining \char_value_lccode:w on line 122
-Defining \char_value_lccode:n on line 123
-Defining \char_show_value_lccode:w on line 125
-Defining \char_show_value_lccode:n on line 126
-Defining \char_set_uccode:w on line 128
-Defining \char_set_uccode:nn on line 129
-Defining \char_value_uccode:w on line 132
-Defining \char_value_uccode:n on line 133
-Defining \char_show_value_uccode:w on line 135
-Defining \char_show_value_uccode:n on line 136
-Defining \char_set_sfcode:w on line 138
-Defining \char_set_sfcode:nn on line 139
-Defining \char_value_sfcode:w on line 142
-Defining \char_value_sfcode:n on line 143
-Defining \char_show_value_sfcode:w on line 146
-Defining \char_show_value_sfcode:n on line 147
-Defining \token_new:Nn on line 150
-Defining \c_group_begin_token on line 151
-Defining \c_group_end_token on line 152
-Defining \c_math_shift_token on line 155
-Defining \c_alignment_tab_token on line 157
-Defining \c_parameter_token on line 158
-Defining \c_math_superscript_token on line 159
-Defining \c_math_subscript_token on line 161
-Defining \c_space_token on line 162
-Defining \c_letter_token on line 163
-Defining \c_other_char_token on line 164
-Defining \token_if_group_begin_p:N on line 171
-Defining \token_if_group_begin:NTF on line 171
-Defining \token_if_group_begin:NT on line 171
-Defining \token_if_group_begin:NF on line 171
-Defining \token_if_group_end_p:N on line 175
-Defining \token_if_group_end:NTF on line 175
-Defining \token_if_group_end:NT on line 175
-Defining \token_if_group_end:NF on line 175
-Defining \token_if_math_shift_p:N on line 179
-Defining \token_if_math_shift:NTF on line 179
-Defining \token_if_math_shift:NT on line 179
-Defining \token_if_math_shift:NF on line 179
-Defining \token_if_alignment_tab_p:N on line 183
-Defining \token_if_alignment_tab:NTF on line 183
-Defining \token_if_alignment_tab:NT on line 183
-Defining \token_if_alignment_tab:NF on line 183
-Defining \token_if_parameter_p:N on line 187
-Defining \token_if_parameter:NTF on line 187
-Defining \token_if_parameter:NT on line 187
-Defining \token_if_parameter:NF on line 187
-Defining \token_if_math_superscript_p:N on line 191
-Defining \token_if_math_superscript:NTF on line 191
-Defining \token_if_math_superscript:NT on line 191
-Defining \token_if_math_superscript:NF on line 191
-Defining \token_if_math_subscript_p:N on line 195
-Defining \token_if_math_subscript:NTF on line 195
-Defining \token_if_math_subscript:NT on line 195
-Defining \token_if_math_subscript:NF on line 195
-Defining \token_if_space_p:N on line 199
-Defining \token_if_space:NTF on line 199
-Defining \token_if_space:NT on line 199
-Defining \token_if_space:NF on line 199
-Defining \token_if_letter_p:N on line 203
-Defining \token_if_letter:NTF on line 203
-Defining \token_if_letter:NT on line 203
-Defining \token_if_letter:NF on line 203
-Defining \token_if_other_char_p:N on line 207
-Defining \token_if_other_char:NTF on line 207
-Defining \token_if_other_char:NT on line 207
-Defining \token_if_other_char:NF on line 207
-Defining \token_if_active_char_p:N on line 211
-Defining \token_if_active_char:NTF on line 211
-Defining \token_if_active_char:NT on line 211
-Defining \token_if_active_char:NF on line 211
-Defining \token_if_eq_meaning_p:NN on line 215
-Defining \token_if_eq_meaning:NNTF on line 215
-Defining \token_if_eq_meaning:NNT on line 215
-Defining \token_if_eq_meaning:NNF on line 215
-Defining \token_if_eq_catcode_p:NN on line 219
-Defining \token_if_eq_catcode:NNTF on line 219
-Defining \token_if_eq_catcode:NNT on line 219
-Defining \token_if_eq_catcode:NNF on line 219
-Defining \token_if_eq_charcode_p:NN on line 223
-Defining \token_if_eq_charcode:NNTF on line 223
-Defining \token_if_eq_charcode:NNT on line 223
-Defining \token_if_eq_charcode:NNF on line 223
-Defining \token_if_macro_p:N on line 226
-Defining \token_if_macro:NTF on line 226
-Defining \token_if_macro:NT on line 226
-Defining \token_if_macro:NF on line 226
-Defining \token_if_macro_p_aux:w on line 227
-Defining \token_if_cs_p:N on line 233
-Defining \token_if_cs:NTF on line 233
-Defining \token_if_cs:NT on line 233
-Defining \token_if_cs:NF on line 233
-Defining \token_if_expandable_p:N on line 241
-Defining \token_if_expandable:NTF on line 241
-Defining \token_if_expandable:NT on line 241
-Defining \token_if_expandable:NF on line 241
-Defining \token_if_chardef_p:N on line 333
-Defining \token_if_chardef:NTF on line 333
-Defining \token_if_chardef:NT on line 333
-Defining \token_if_chardef:NF on line 333
-Defining \token_if_chardef_aux:w on line 333
-Defining \token_if_mathchardef_p:N on line 333
-Defining \token_if_mathchardef:NTF on line 333
-Defining \token_if_mathchardef:NT on line 333
-Defining \token_if_mathchardef:NF on line 333
-Defining \token_if_mathchardef_aux:w on line 333
-Defining \token_if_int_register_p:N on line 333
-Defining \token_if_int_register:NTF on line 333
-Defining \token_if_int_register:NT on line 333
-Defining \token_if_int_register:NF on line 333
-Defining \token_if_int_register_aux:w on line 333
-Defining \token_if_skip_register_p:N on line 333
-Defining \token_if_skip_register:NTF on line 333
-Defining \token_if_skip_register:NT on line 333
-Defining \token_if_skip_register:NF on line 333
-Defining \token_if_skip_register_aux:w on line 333
-Defining \token_if_dim_register_p:N on line 333
-Defining \token_if_dim_register:NTF on line 333
-Defining \token_if_dim_register:NT on line 333
-Defining \token_if_dim_register:NF on line 333
-Defining \token_if_dim_register_aux:w on line 333
-Defining \token_if_toks_register_p:N on line 333
-Defining \token_if_toks_register:NTF on line 333
-Defining \token_if_toks_register:NT on line 333
-Defining \token_if_toks_register:NF on line 333
-Defining \token_if_toks_register_aux:w on line 333
-Defining \token_if_protected_macro_p:N on line 333
-Defining \token_if_protected_macro:NTF on line 333
-Defining \token_if_protected_macro:NT on line 333
-Defining \token_if_protected_macro:NF on line 333
-Defining \token_if_protected_macro_aux:w on line 333
-Defining \token_if_long_macro_p:N on line 333
-Defining \token_if_long_macro:NTF on line 333
-Defining \token_if_long_macro:NT on line 333
-Defining \token_if_long_macro:NF on line 333
-Defining \token_if_long_macro_aux:w on line 333
-Defining \token_if_protected_long_macro_p:N on line 333
-Defining \token_if_protected_long_macro:NTF on line 333
-Defining \token_if_protected_long_macro:NT on line 333
-Defining \token_if_protected_long_macro:NF on line 333
-Defining \token_if_protected_long_macro_aux:w on line 333
-Defining \token_get_prefix_arg_replacement_aux:w on line 364
-Defining \token_get_prefix_spec:N on line 364
-Defining \token_get_arg_spec:N on line 364
-Defining \token_get_replacement_spec:N on line 364
-Defining \token_if_primitive_p:N on line 383
-Defining \token_if_primitive:NTF on line 383
-Defining \token_if_primitive:NT on line 383
-Defining \token_if_primitive:NF on line 383
-Defining \token_if_primitive_p_aux:N on line 384
-Defining \l_peek_token on line 405
-Defining \g_peek_token on line 406
-Defining \l_peek_search_token on line 407
-Defining \peek_after:NN on line 408
-Defining \peek_gafter:NN on line 409
-Defining \l_peek_true_tl on line 412
-Defining \l_peek_false_tl on line 413
-Defining \peek_tmp:w on line 414
-Defining \l_peek_search_tl on line 415
-Defining \peek_token_generic:NNTF on line 416
-Defining \peek_token_generic:NNT on line 424
-Defining \peek_token_generic:NNF on line 427
-Defining \peek_token_remove_generic:NNTF on line 430
-Defining \peek_token_remove_generic:NNT on line 439
-Defining \peek_token_remove_generic:NNF on line 442
-Defining \l_peek_true_aux_tl on line 445
-Defining \c_peek_true_remove_next_tl on line 448
-Defining \peek_execute_branches_meaning: on line 449
-Defining \peek_execute_branches_catcode: on line 456
-Defining \peek_execute_branches_charcode: on line 463
-Defining \peek_execute_branches_charcode_aux:NN on line 472
-Defining \peek_def_aux:nnnn on line 480
-Defining \peek_def_aux_ii:nnnnn on line 485
-Defining \peek_meaning:NTF on line 498
-Defining \peek_meaning:NT on line 498
-Defining \peek_meaning:NF on line 498
-Defining \peek_meaning_ignore_spaces:NTF on line 503
-Defining \peek_meaning_ignore_spaces:NT on line 503
-Defining \peek_meaning_ignore_spaces:NF on line 503
-Defining \peek_meaning_remove:NTF on line 508
-Defining \peek_meaning_remove:NT on line 508
-Defining \peek_meaning_remove:NF on line 508
-Defining \peek_meaning_remove_ignore_spaces:NTF on line 513
-Defining \peek_meaning_remove_ignore_spaces:NT on line 513
-Defining \peek_meaning_remove_ignore_spaces:NF on line 513
-Defining \peek_catcode:NTF on line 518
-Defining \peek_catcode:NT on line 518
-Defining \peek_catcode:NF on line 518
-Defining \peek_catcode_ignore_spaces:NTF on line 523
-Defining \peek_catcode_ignore_spaces:NT on line 523
-Defining \peek_catcode_ignore_spaces:NF on line 523
-Defining \peek_catcode_remove:NTF on line 528
-Defining \peek_catcode_remove:NT on line 528
-Defining \peek_catcode_remove:NF on line 528
-Defining \peek_catcode_remove_ignore_spaces:NTF on line 533
-Defining \peek_catcode_remove_ignore_spaces:NT on line 533
-Defining \peek_catcode_remove_ignore_spaces:NF on line 533
-Defining \peek_charcode:NTF on line 538
-Defining \peek_charcode:NT on line 538
-Defining \peek_charcode:NF on line 538
-Defining \peek_charcode_ignore_spaces:NTF on line 543
-Defining \peek_charcode_ignore_spaces:NT on line 543
-Defining \peek_charcode_ignore_spaces:NF on line 543
-Defining \peek_charcode_remove:NTF on line 548
-Defining \peek_charcode_remove:NT on line 548
-Defining \peek_charcode_remove:NF on line 548
-Defining \peek_charcode_remove_ignore_spaces:NTF on line 553
-Defining \peek_charcode_remove_ignore_spaces:NT on line 553
-Defining \peek_charcode_remove_ignore_spaces:NF on line 553
-Defining \peek_ignore_spaces_aux: on line 554
-Defining \peek_ignore_spaces_execute_branches: on line 557
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3io.sty
-Package: l3io 2009/05/31 v1369 L3 Experimental i/o module
-Defining \iow_new:c on line 57
-Defining \iow_open:Nn on line 58
-Defining \iow_open:cn on line 62
-Defining \iow_close:N on line 63
-Defining \c_iow_term_stream on line 64
-Defining \c_ior_term_stream on line 65
-Defining \c_iow_log_stream on line 66
-Defining \c_ior_log_stream on line 67
-Defining \iow_now:Nx on line 68
-Defining \iow_now:Nn on line 69
-Defining \iow_log:n on line 73
-Defining \iow_term:n on line 75
-Defining \iow_now_when_avail:Nn on line 76
-Defining \iow_now_when_avail:cn on line 79
-Defining \iow_now_buffer_safe_aux:w on line 80
-Defining \iow_now_buffer_safe:Nx on line 83
-Defining \iow_now_buffer_safe:Nn on line 86
-Defining \iow_shipout_x:Nx on line 90
-Defining \iow_shipout:Nn on line 91
-Defining \iow_shipout:Nx on line 94
-Defining \iow_newline: on line 95
-Defining \iow_space: on line 96
-Defining \iow_char:N on line 97
-Defining \c_iow_comment_char on line 98
-Defining \c_iow_lbrace_char on line 99
-Defining \c_iow_rbrace_char on line 100
-Defining \ior_open:Nn on line 103
-Defining \if_eof:w on line 107
-Defining \ior_if_eof_p:N on line 110
-Defining \ior_if_eof:NTF on line 110
-Defining \ior_if_eof:NT on line 110
-Defining \ior_if_eof:NF on line 110
-Defining \ior_to:NN on line 111
-Defining \ior_gto:NN on line 114
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3prop.sty
-Package: l3prop 2009/09/16 v1536 L3 Experimental Property Lists
-Defining \q_prop on line 56
-Defining \prop_new:N on line 57
-Defining \prop_new:c on line 58
-Defining \prop_clear:N on line 59
-Defining \prop_clear:c on line 60
-Defining \prop_gclear:N on line 61
-Defining \prop_gclear:c on line 62
-Defining \prop_set_eq:NN on line 63
-Defining \prop_set_eq:Nc on line 64
-Defining \prop_set_eq:cN on line 65
-Defining \prop_set_eq:cc on line 66
-Defining \prop_gset_eq:NN on line 67
-Defining \prop_gset_eq:Nc on line 68
-Defining \prop_gset_eq:cN on line 69
-Defining \prop_gset_eq:cc on line 70
-Defining \prop_show:N on line 71
-Defining \prop_show:c on line 72
-Defining \prop_display:N on line 73
-Defining \prop_display:c on line 89
-Defining \prop_split_aux:Nnn on line 90
-Defining \prop_get:NnN on line 96
-Defining \prop_get_aux:w on line 99
-Defining \prop_get:NVN on line 100
-Defining \exp_args:NNVN on line 100
-Defining \prop_get:cnN on line 100
-Defining \exp_args:NcnN on line 100
-Defining \prop_get:cVN on line 100
-Defining \exp_args:NcVN on line 100
-Defining \prop_gget:NnN on line 101
-Defining \prop_gget_aux:w on line 103
-Defining \prop_gget:NVN on line 104
-Defining \prop_gget:cnN on line 104
-Defining \prop_gget:cVN on line 104
-Defining \prop_get_gdel:NnN on line 105
-Defining \prop_get_del_aux:w on line 107
-Defining \prop_put:Nnn on line 113
-Defining \prop_gput:Nnn on line 119
-Defining \prop_put_aux:w on line 125
-Defining \prop_put:NnV on line 133
-Defining \exp_args:NNnV on line 133
-Defining \prop_put:NVn on line 133
-Defining \exp_args:NNVn on line 133
-Defining \prop_put:NVV on line 133
-Defining \exp_args:NNVV on line 133
-Defining \prop_put:cnn on line 133
-Defining \prop_gput:NnV on line 134
-Defining \prop_gput:Nno on line 134
-Defining \prop_gput:Nnx on line 134
-Defining \prop_gput:Nox on line 134
-Defining \prop_gput:cnn on line 134
-Defining \prop_gput:ccx on line 134
-Defining \prop_del:Nn on line 135
-Defining \prop_gdel:Nn on line 137
-Defining \prop_del_aux:w on line 139
-Defining \prop_del:NV on line 146
-Defining \prop_gdel:NV on line 147
-Defining \prop_gput_if_new:Nnn on line 148
-Defining \prop_put_if_new_aux:w on line 150
-Defining \prop_if_empty_p:N on line 152
-Defining \prop_if_empty:NTF on line 152
-Defining \prop_if_empty:NT on line 152
-Defining \prop_if_empty:NF on line 152
-Defining \prop_if_empty_p:c on line 153
-Defining \prop_if_empty:cTF on line 153
-Defining \prop_if_empty:cT on line 153
-Defining \prop_if_empty:cF on line 153
-Defining \prop_if_eq_p:NN on line 154
-Defining \prop_if_eq:NNTF on line 154
-Defining \prop_if_eq:NNT on line 154
-Defining \prop_if_eq:NNF on line 154
-Defining \prop_if_eq_p:cN on line 155
-Defining \prop_if_eq:cNTF on line 155
-Defining \prop_if_eq:cNT on line 155
-Defining \prop_if_eq:cNF on line 155
-Defining \prop_if_eq_p:Nc on line 156
-Defining \prop_if_eq:NcTF on line 156
-Defining \prop_if_eq:NcT on line 156
-Defining \prop_if_eq:NcF on line 156
-Defining \prop_if_eq_p:cc on line 157
-Defining \prop_if_eq:ccTF on line 157
-Defining \prop_if_eq:ccT on line 157
-Defining \prop_if_eq:ccF on line 157
-Defining \prop_if_in:NnTF on line 160
-Defining \prop_if_in:NnT on line 160
-Defining \prop_if_in:NnF on line 160
-Defining \prop_if_in_aux:w on line 161
-Defining \prop_if_in:NVTF on line 164
-Defining \prop_if_in:NoTF on line 164
-Defining \prop_if_in:cnTF on line 164
-Defining \prop_if_in:ccTF on line 164
-Defining \prop_if_in:NVT on line 165
-Defining \prop_if_in:NoT on line 165
-Defining \prop_if_in:cnT on line 165
-Defining \prop_if_in:ccT on line 165
-Defining \prop_if_in:NVF on line 166
-Defining \prop_if_in:NoF on line 166
-Defining \prop_if_in:cnF on line 166
-Defining \prop_if_in:ccF on line 166
-Defining \prop_map_function:cN on line 178
-Defining \prop_map_function:Nc on line 178
-Defining \prop_map_function:cc on line 178
-Defining \g_prop_inline_level_num on line 179
-Defining \prop_map_inline:Nn on line 180
-Defining \prop_map_inline:cn on line 188
-Defining \prop_map_break: on line 189
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3msg.sty
-Package: l3msg 2009/09/01 v1502 L3 Experimental LaTeX Messages module
-Defining \c_msg_fatal_tl on line 58
-Defining \c_msg_error_tl on line 59
-Defining \c_msg_warning_tl on line 60
-Defining \c_msg_info_tl on line 61
-Defining \c_msg_fatal_text_tl on line 64
-Defining \c_msg_help_text_tl on line 67
-Defining \c_msg_kernel_bug_text_tl on line 70
-Defining \c_msg_kernel_bug_more_text_tl on line 76
-Defining \c_msg_no_info_text_tl on line 80
-Defining \c_msg_return_text_tl on line 86
-Defining \c_msg_hide_tl                                                        
-  on line 94
-Defining \c_msg_on_line_tl on line 95
-Defining \c_msg_text_prefix_tl on line 96
-Defining \c_msg_more_text_prefix_tl on line 97
-Defining \c_msg_code_prefix_tl on line 98
-Defining \l_msg_class_tl on line 99
-Defining \l_msg_current_class_tl on line 100
-Defining \l_msg_names_clist on line 101
-\l_msg_redirect_classes_prop=\toks25
-\l_msg_redirect_names_prop=\toks26
-Defining \l_msg_redirect_classes_clist on line 104
-Defining \msg_line_number: on line 107
-Defining \msg_line_context: on line 113
-Defining \msg_newline: on line 114
-Defining \msg_two_newlines: on line 115
-Defining \msg_space: on line 116
-Defining \msg_two_spaces: on line 117
-Defining \msg_four_spaces: on line 118
-Defining \msg_generic_new:nnnn on line 119
-Defining \msg_generic_new:nnn on line 123
-Defining \msg_generic_new:nn on line 127
-Defining \msg_generic_set:nnnn on line 131
-Defining \msg_generic_set:nnn on line 136
-Defining \msg_generic_set:nn on line 141
-Defining \msg_generic_set_clist:n on line 146
-Defining \msg_generic_set_text:nn on line 154
-Defining \msg_generic_set_more_text:nnn on line 163
-Defining \msg_generic_set_code:nnnn on line 164
-Defining \msg_generic_set_code:nn on line 180
-Defining \msg_direct_interrupt:xxxxn on line 207
-Defining \msg_direct_interrupt_aux:n on line 214
-Defining \msg_direct_log:xx on line 221
-Defining \msg_direct_term:xx on line 228
-Defining \msg_new:nnnnn on line 229
-Defining \msg_new:nnnn on line 232
-Defining \msg_new:nnn on line 235
-Defining \msg_set:nnnnn on line 238
-Defining \msg_set:nnnn on line 241
-Defining \msg_set:nnn on line 244
-Defining \msg_class_new:nn on line 247
-Defining \msg_class_set:nn on line 263
-Defining \msg_use:nnnnxx on line 286
-Defining \msg_use_code: on line 287
-Defining \msg_use_loop:n on line 288
-Defining \msg_use_aux:nnn on line 297
-Defining \msg_use_aux:nn on line 308
-Defining \msg_use_loop_check:nn on line 316
-Defining \msg_fatal:nnxx on line 317
-\l_msg_redirect_fatal_prop=\toks27
-Defining \msg_error:nnxx on line 328
-\l_msg_redirect_error_prop=\toks28
-Defining \msg_warning:nnxx on line 349
-\l_msg_redirect_warning_prop=\toks29
-Defining \msg_info:nnxx on line 356
-\l_msg_redirect_info_prop=\toks30
-Defining \msg_log:nnxx on line 363
-\l_msg_redirect_log_prop=\toks31
-Defining \msg_trace:nnxx on line 369
-\l_msg_redirect_trace_prop=\toks32
-Defining \msg_none:nnxx on line 375
-\l_msg_redirect_none_prop=\toks33
-Defining \msg_redirect_class:nn on line 378
-Defining \msg_redirect_module:nnn on line 381
-Defining \msg_redirect_name:nnn on line 384
-Defining \msg_kernel_new:nnnn on line 385
-Defining \msg_kernel_new:nnn on line 388
-Defining \msg_kernel_new:nn on line 391
-Defining \msg_kernel_set:nnnn on line 394
-Defining \msg_kernel_set:nnn on line 397
-Defining \msg_kernel_set:nn on line 400
-Defining \msg_kernel_classes_new:n on line 410
-Defining \msg_kernel_fatal:nxx on line 421
-Defining \msg_kernel_fatal:nx on line 422
-Defining \msg_kernel_fatal:n on line 422
-Defining \msg_kernel_error:nxx on line 443
-Defining \msg_kernel_error:nx on line 444
-Defining \msg_kernel_error:n on line 444
-Defining \msg_kernel_warning:nxx on line 445
-Defining \msg_kernel_warning:nx on line 448
-Defining \msg_kernel_warning:n on line 448
-Defining \msg_kernel_info:nxx on line 449
-Defining \msg_kernel_info:nx on line 452
-Defining \msg_kernel_info:n on line 452
-Defining \msg_text > LaTeX/coding-bug:nn on line 453
-Defining \msg_text > LaTeX/message-unknown:nn on line 459
-Defining \msg_text > LaTeX/message-class-unknown:nn on line 467
-Defining \msg_text > LaTeX/message-loop:nn on line 474
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3skip.sty
-Package: l3skip 2009/05/28 v1362 L3 Experimental skip registers
-Defining \skip_new:N on line 56
-Defining \skip_new:c on line 60
-Defining \skip_set:Nn on line 61
-Defining \skip_gset:Nn on line 64
-Defining \skip_set:cn on line 68
-Defining \skip_gset:cn on line 69
-Defining \skip_zero:N on line 70
-Defining \skip_gzero:N on line 73
-Defining \skip_zero:c on line 77
-Defining \skip_gzero:c on line 78
-Defining \skip_add:Nn on line 79
-Defining \skip_add:cn on line 82
-Defining \skip_sub:Nn on line 83
-Defining \skip_gadd:Nn on line 86
-Defining \skip_gadd:cn on line 90
-Defining \skip_gsub:Nn on line 91
-Defining \skip_horizontal:N on line 95
-Defining \skip_horizontal:c on line 96
-Defining \skip_horizontal:n on line 97
-Defining \skip_vertical:N on line 98
-Defining \skip_vertical:c on line 99
-Defining \skip_vertical:n on line 100
-Defining \skip_use:N on line 101
-Defining \skip_use:c on line 102
-Defining \skip_show:N on line 103
-Defining \skip_show:c on line 104
-Defining \skip_eval:n on line 105
-Defining \l_tmpa_skip on line 108
-\l_tmpa_skip=\skip43
-Defining \l_tmpb_skip on line 109
-\l_tmpb_skip=\skip44
-Defining \l_tmpc_skip on line 110
-\l_tmpc_skip=\skip45
-Defining \g_tmpa_skip on line 111
-\g_tmpa_skip=\skip46
-Defining \g_tmpb_skip on line 112
-\g_tmpb_skip=\skip47
-Defining \skip_if_infinite_glue_p:n on line 120
-Defining \skip_if_infinite_glue:nTF on line 120
-Defining \skip_if_infinite_glue:nT on line 120
-Defining \skip_if_infinite_glue:nF on line 120
-Defining \skip_split_finite_else_action:nnNN on line 121
-Defining \dim_new:N on line 133
-Defining \dim_new:c on line 137
-Defining \dim_set:Nn on line 138
-Defining \dim_set:cn on line 139
-Defining \dim_set:Nc on line 139
-Defining \dim_gset:Nn on line 140
-Defining \dim_gset:cn on line 141
-Defining \dim_gset:Nc on line 141
-Defining \dim_gset:cc on line 141
-Defining \dim_zero:N on line 142
-Defining \dim_zero:c on line 143
-Defining \dim_gzero:N on line 144
-Defining \dim_gzero:c on line 145
-Defining \dim_add:Nn on line 146
-Defining \dim_add:cn on line 149
-Defining \dim_add:Nc on line 149
-Defining \dim_gadd:Nn on line 150
-Defining \dim_gadd:cn on line 151
-Defining \dim_sub:Nn on line 152
-Defining \dim_sub:cn on line 153
-Defining \dim_sub:Nc on line 153
-Defining \dim_gsub:Nn on line 154
-Defining \dim_gsub:cn on line 155
-Defining \dim_use:N on line 156
-Defining \dim_use:c on line 157
-Defining \dim_show:N on line 158
-Defining \dim_show:c on line 159
-Defining \l_tmpa_dim on line 160
-\l_tmpa_dim=\dimen109
-Defining \l_tmpb_dim on line 161
-\l_tmpb_dim=\dimen110
-Defining \l_tmpc_dim on line 162
-\l_tmpc_dim=\dimen111
-Defining \l_tmpd_dim on line 163
-\l_tmpd_dim=\dimen112
-Defining \g_tmpa_dim on line 164
-\g_tmpa_dim=\dimen113
-Defining \g_tmpb_dim on line 165
-\g_tmpb_dim=\dimen114
-Defining \c_zero_dim on line 166
-Defining \c_max_dim on line 167
-Defining \dim_eval:n on line 168
-Defining \if_dim:w on line 169
-Defining \dim_compare_p:nNn on line 173
-Defining \dim_compare:nNnTF on line 173
-Defining \dim_compare:nNnT on line 173
-Defining \dim_compare:nNnF on line 173
-Defining \dim_while_do:nNnn on line 174
-Defining \dim_until_do:nNnn on line 177
-Defining \dim_do_while:nNnn on line 180
-Defining \dim_do_until:nNnn on line 183
-Defining \muskip_new:N on line 186
-Defining \muskip_set:Nn on line 190
-Defining \muskip_gset:Nn on line 191
-Defining \muskip_add:Nn on line 192
-Defining \muskip_gadd:Nn on line 193
-Defining \muskip_sub:Nn on line 194
-Defining \muskip_gsub:Nn on line 195
-Defining \muskip_use:N on line 196
+(/usr/lib/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty
+File: amsgen.sty 1999/11/30 v2.0
+\@emptytoks=\toks18
+\ex@=\dimen109

 ))
 ))

-(/usr/share/texmf-texlive/tex/latex/expl3/l3box.sty
-Package: l3box 2009/06/01 v1375 L3 Experimental Box module
-Defining \box_new:N on line 56
-Defining \box_new:c on line 60
-Defining \if_hbox:N on line 61
-Defining \if_vbox:N on line 62
-Defining \if_box_empty:N on line 63
-Defining \box_if_horizontal_p:N on line 66
-Defining \box_if_horizontal:NTF on line 66
-Defining \box_if_horizontal:NT on line 66
-Defining \box_if_horizontal:NF on line 66
-Defining \box_if_vertical_p:N on line 69
-Defining \box_if_vertical:NTF on line 69
-Defining \box_if_vertical:NT on line 69
-Defining \box_if_vertical:NF on line 69
-Defining \box_if_horizontal_p:c on line 70
-Defining \box_if_horizontal:cTF on line 71
-Defining \box_if_horizontal:cT on line 72
-Defining \box_if_horizontal:cF on line 73
-Defining \box_if_vertical_p:c on line 74
-Defining \box_if_vertical:cTF on line 75
-Defining \box_if_vertical:cT on line 76
-Defining \box_if_vertical:cF on line 77
-Defining \box_if_empty_p:N on line 80
-Defining \box_if_empty:NTF on line 80
-Defining \box_if_empty:NT on line 80
-Defining \box_if_empty:NF on line 80
-Defining \box_if_empty_p:c on line 81
-Defining \box_if_empty:cTF on line 82
-Defining \box_if_empty:cT on line 83
-Defining \box_if_empty:cF on line 84
-Defining \box_set_eq:NN on line 85
-Defining \box_set_eq:cN on line 86
-Defining \box_set_eq:Nc on line 86
-Defining \box_set_eq:cc on line 86
-Defining \box_gset_eq:NN on line 87
-Defining \box_gset_eq:cN on line 88
-Defining \box_gset_eq:Nc on line 88
-Defining \box_gset_eq:cc on line 88
-Defining \l_last_box on line 89
-Defining \box_set_to_last:N on line 90
-Defining \box_set_to_last:c on line 91
-Defining \box_gset_to_last:N on line 92
-Defining \box_gset_to_last:c on line 93
-Defining \box_move_left:nn on line 94
-Defining \box_move_right:nn on line 95
-Defining \box_move_up:nn on line 96
-Defining \box_move_down:nn on line 97
-Defining \box_clear:N on line 98
-Defining \box_clear:c on line 99
-Defining \box_gclear:N on line 100
-Defining \box_gclear:c on line 101
-Defining \box_ht:N on line 102
-Defining \box_dp:N on line 103
-Defining \box_wd:N on line 104
-Defining \box_ht:c on line 105
-Defining \box_dp:c on line 106
-Defining \box_wd:c on line 107
-Defining \box_use_clear:N on line 108
-Defining \box_use_clear:c on line 109
-Defining \box_use:N on line 110
-Defining \box_use:c on line 111
-Defining \box_show:c on line 113
-Defining \l_tmpa_box on line 115
-Defining \l_tmpb_box on line 116
+(/usr/lib/texlive/texmf-dist/tex/latex/l3packages/l3keys2e/l3keys2e.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3names.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3bootstrap.sty
+Package: l3bootstrap 2011/06/19 v2478 L3 Experimental bootstrap code
+)
+Package: l3names 2011/06/19 v2478 L3 Experimental namespace for primitives
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/etex-pkg/etex.sty
+Package: etex 1998/03/26 v2.0 eTeX basic definition package (PEB)
+\et@xins=\count95
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/tools/calc.sty
+Package: calc 2007/08/22 v4.3 Infix arithmetic (KKT,FJ)
+\calc@Acount=\count96
+\calc@Bcount=\count97
+\calc@Adimen=\dimen110
+\calc@Bdimen=\dimen111
+\calc@Askip=\skip43
+\calc@Bskip=\skip44
+LaTeX Info: Redefining \setlength on input line 76.
+LaTeX Info: Redefining \addtolength on input line 77.
+\calc@Ccount=\count98
+\calc@Cskip=\skip45
+)
+Package: expl3 2011/06/19 v2478 L3 Experimental code bundle wrapper
+
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3basics.sty
+Package: l3basics 2011/07/04 v2493 L3 Experimental basic definitions
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3expan.sty
+Package: l3expan 2011/06/20 v2480 L3 Experimental argument expansion
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3tl.sty
+Package: l3tl 2011/07/09 v2498 L3 Experimental token lists
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3seq.sty
+Package: l3seq 2011/06/19 v2478 L3 Experimental sequences and stacks
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3int.sty
+Package: l3int 2011/06/19 v2478 L3 Experimental integers
+\c_max_int=\count99
+\l_tmpa_int=\count100
+\l_tmpb_int=\count101
+\l_tmpc_int=\count102
+\g_tmpa_int=\count103
+\g_tmpb_int=\count104
+\g_seq_nesting_depth_int=\count105
+\g_tl_inline_level_int=\count106
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3quark.sty
+Package: l3quark 2011/06/19 v2478 L3 Experimental quarks
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3prg.sty
+Package: l3prg 2011/07/06 v2495 L3 Experimental control structures
+\g_prg_stepwise_level_int=\count107
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3clist.sty
+Package: l3clist 2011/07/09 v2498 L3 Experimental comma separated lists
+\g_clist_map_inline_int=\count108
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3token.sty
+Package: l3token 2011/07/02 v2491 L3 Experimental token manipulation
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3prop.sty
+Package: l3prop 2011/06/19 v2478 L3 Experimental property lists
+\g_prop_map_inline_int=\count109
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3msg.sty
+Package: l3msg 2011/06/19 v2478 L3 Experimental messages
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3io.sty
+Package: l3io 2011/06/19 v2478 L3 Experimental input-output operations
+\l_iow_stream_int=\count110
+\l_iow_line_length_int=\count111
+\l_iow_target_length_int=\count112
+\l_iow_current_line_int=\count113
+\l_iow_current_word_int=\count114
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3file.sty
+Package: l3file 2011/06/19 v2478 L3 Experimental file operations
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3skip.sty
+Package: l3skip 2011/06/19 v2478 L3 Experimental dimensions and skips
+\l_tmpa_dim=\dimen112
+\l_tmpb_dim=\dimen113
+\l_tmpc_dim=\dimen114
+\g_tmpa_dim=\dimen115
+\g_tmpb_dim=\dimen116
+\l_tmpa_skip=\skip46
+\l_tmpb_skip=\skip47
+\l_tmpc_skip=\skip48
+\g_tmpa_skip=\skip49
+\g_tmpb_skip=\skip50
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3box.sty
+Package: l3box 2011/06/19 v2478 L3 Experimental boxes

 \l_tmpb_box=\box28
 \l_tmpb_box=\box28

-Defining \vbox:n on line 117
-Defining \vbox_set:Nn on line 118
-Defining \vbox_set:cn on line 119
-Defining \vbox_gset:Nn on line 120
-Defining \vbox_gset:cn on line 121
-Defining \vbox_set_to_ht:Nnn on line 122
-Defining \vbox_set_to_ht:cnn on line 125
-Defining \vbox_gset_to_ht:Nnn on line 126
-Defining \vbox_gset_to_ht:cnn on line 127
-Defining \vbox_gset_to_ht:ccn on line 127
-Defining \exp_args:Nccn on line 127
-Defining \vbox_set_inline_begin:N on line 128
-Defining \vbox_set_inline_end: on line 130
-Defining \vbox_gset_inline_begin:N on line 131
-Defining \vbox_gset_inline_end: on line 133
-Defining \vbox_to_ht:nn on line 134
-Defining \vbox_to_zero:n on line 135
-Defining \vbox_set_split_to_ht:NNn on line 136
-Defining \vbox_unpack:N on line 139
-Defining \vbox_unpack:c on line 140
-Defining \vbox_unpack_clear:N on line 141
-Defining \vbox_unpack_clear:c on line 142
-Defining \hbox:n on line 143
-Defining \hbox_set:Nn on line 144
-Defining \hbox_set:cn on line 145
-Defining \hbox_gset:Nn on line 146
-Defining \hbox_gset:cn on line 147
-Defining \hbox_set_to_wd:Nnn on line 148
-Defining \hbox_set_to_wd:cnn on line 151
-Defining \hbox_gset_to_wd:Nnn on line 152
-Defining \hbox_gset_to_wd:cnn on line 153
-Defining \hbox_set_inline_begin:N on line 154
-Defining \hbox_set_inline_begin:c on line 157
-Defining \hbox_set_inline_end: on line 158
-Defining \hbox_gset_inline_begin:N on line 159
-Defining \hbox_gset_inline_begin:c on line 162
-Defining \hbox_gset_inline_end: on line 163
-Defining \hbox_to_wd:nn on line 164
-Defining \hbox_to_zero:n on line 165
-Defining \hbox_unpack:N on line 166
-Defining \hbox_unpack:c on line 167
-Defining \hbox_unpack_clear:N on line 168
-Defining \hbox_unpack_clear:c on line 169

 )
 )

-(/usr/share/texmf-texlive/tex/latex/expl3/l3keyval.sty
-Package: l3keyval 2009/07/13 v1424 L3 Experimental keyval processing
-Defining \l_KV_tmpa_tl on line 56
-Defining \l_KV_tmpb_tl on line 57
-Defining \c_KV_single_equal_sign_tl on line 58
-\l_KV_parse_toks=\toks34
-\l_KV_currkey_toks=\toks35
-\l_KV_currval_toks=\toks36
-Defining \l_KV_remove_one_level_of_braces_bool on line 62
-Defining \KV_sanitize_outerlevel_active_equals:N on line 76
-Defining \KV_sanitize_outerlevel_active_commas:N on line 76
-Defining \KV_remove_surrounding_spaces:nw on line 79
-Defining \KV_remove_surrounding_spaces_auxi:w on line 82
-Defining \KV_remove_surrounding_spaces_auxii:w on line 85
-Defining \KV_add_value_element:w on line 86
-Defining \KV_set_key_element:w on line 94
-Defining \KV_add_element_aux:w on line 109
-Defining \KV_parse_sanitize_aux:n on line 110
-Defining \KV_parse_no_sanitize_aux:n on line 121
-Defining \KV_split_key_value_current:w on line 139
-Defining \KV_split_key_value_space_removal:w on line 140
-Defining \KV_split_key_value_space_removal_detect_error:wTF on line 157
-Defining \KV_val_preserve_braces:NnN on line 160
-Defining \KV_split_key_value_space_removal_aux:w on line 161
-Defining \KV_split_key_value_no_space_removal:w on line 187
-Defining \KV_key_no_value_elt:n on line 201
-Defining \KV_key_value_elt:nn on line 202
-Defining \KV_parse_no_space_removal_no_sanitize:n on line 203
-Defining \KV_parse_space_removal_sanitize:n on line 207
-Defining \KV_parse_space_removal_no_sanitize:n on line 211
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3keys.sty
-Package: l3keys 2009/09/17 v1542 L3 Experimental key-value support
-Defining \c_keys_root_tl on line 56
-Defining \c_keys_properties_root_tl on line 57
-Defining \c_keys_value_forbidden_tl on line 58
-Defining \c_keys_value_required_tl on line 59
-Defining \l_keys_choice_int on line 60
-\l_keys_choice_int=\count103
-Defining \l_keys_choice_tl on line 61
-Defining \l_keys_choice_code_tl on line 62
-Defining \l_keys_key_tl on line 63
-Defining \l_keys_path_tl on line 64
-Defining \l_keys_property_tl on line 65
-Defining \l_keys_module_tl on line 66
-Defining \l_keys_nesting_seq on line 67
-Defining \l_keys_nesting_tl on line 68
-Defining \l_keys_no_value_bool on line 69
-\l_keys_value_toks=\toks37
-Defining \keys_bool_set:NN on line 86
-Defining \keys_choice_code_store:x on line 89
-Defining \keys_choice_find:n on line 94
-Defining \keys_choice_make: on line 103
-Defining \keys_choices_generate:n on line 117
-Defining \keys_choices_generate_aux:n on line 126
-Defining \keys_cmd_set:nn on line 131
-Defining \keys_cmd_set:nx on line 136
-Defining \keys_cmd_set_aux:n on line 140
-Defining \keys_default_set:n on line 143
-Defining \keys_default_set:V on line 144
-Defining \keys_define:nn on line 157
-Defining \keys_define_elt:n on line 161
-Defining \keys_define_elt:nn on line 165
-Defining \keys_define_elt_aux:nn on line 176
-Defining \keys_define_key:n on line 191
-Defining \keys_execute: on line 196
-Defining \keys_execute_unknown: on line 201
-Defining \keys_execute_aux:nn on line 209
-Defining \keys_if_value_requirement:nTF on line 217
-Defining \keys_meta_make:n on line 226
-Defining \keys_meta_make:x on line 227
-Defining \keys_property_find:n on line 235
-Defining \keys_property_find_aux:n on line 238
-Defining \keys_property_find_aux:w on line 239
-Defining \keys_property_new:nn on line 252
-Defining \keys_property_undefine:n on line 255
-Defining \keys_set:nn on line 268
-Defining \keys_set:nV on line 269
-Defining \keys_set:nv on line 269
-Defining \exp_args:Nnv on line 269
-Defining \keys_set_elt:n on line 273
-Defining \keys_set_elt:nn on line 277
-Defining \keys_set_elt_aux:nn on line 291
-Defining \keys_set_elt_aux: on line 303
-Defining \keys_show:nn on line 306
-Defining \keys_tmp:w on line 307
-Defining \keys_value_or_default:n on line 317
-Defining \keys_value_requirement:n on line 321
-Defining \keys_variable_set:NnNN on line 329
-Defining \keys_properties.bool_set:N on line 332
-Defining \keys_properties.bool_gset:N on line 335
-Defining \keys_properties.choice: on line 338
-Defining \keys_properties.choice_code:n on line 341
-Defining \keys_properties.choice_code:x on line 344
-Defining \keys_properties.code:n on line 347
-Defining \keys_properties.code:x on line 350
-Defining \keys_properties.default:n on line 353
-Defining \keys_properties.default:V on line 356
-Defining \keys_properties.dim_set:N on line 359
-Defining \keys_properties.dim_gset:N on line 362
-Defining \keys_properties.generate_choices:n on line 365
-Defining \keys_properties.int_set:N on line 368
-Defining \keys_properties.int_gset:N on line 371
-Defining \keys_properties.meta:n on line 374
-Defining \keys_properties.meta:x on line 377
-Defining \keys_properties.skip_set:N on line 380
-Defining \keys_properties.skip_gset:N on line 383
-Defining \keys_properties.tl_set:N on line 386
-Defining \keys_properties.tl_set_x:N on line 389
-Defining \keys_properties.tl_gset:N on line 392
-Defining \keys_properties.tl_gset_x:N on line 395
-Defining \keys_properties.value_forbidden: on line 398
-Defining \keys_properties.value_required: on line 401
-Defining \msg_text > LaTeX/key-choice-unknown:nn on line 402
-Defining \msg_text > LaTeX/key-initial-without-code:nn on line 406
-Defining \msg_text > LaTeX/key-unknown:nn on line 410
-Defining \msg_text > LaTeX/key-value-forbidden:nn on line 413
-Defining \msg_text > LaTeX/key-value-required:nn on line 417
-Defining \msg_text > LaTeX/key-no-property:nn on line 421
-Defining \msg_text > LaTeX/key-no-set-function:nn on line 424
-Defining \msg_text > LaTeX/key-property-unknown:nn on line 434
-Defining \msg_text > LaTeX/key-property-value-required:nn on line 437
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3precom.sty
-Package: l3precom 2009/08/08 v1453 L3 Experimental precompilation module
-\c_cs_dump_stream=\write3
-Defining \g_cs_dump_name_tl on line 60
-Defining \g_cs_dump_seq on line 61
-Defining \cs_record_name:N on line 62
-Defining \cs_record_name:c on line 67
-Defining \cs_dump: on line 68
-Defining \cs_load_dump:n on line 94
-Defining \g_gen_sym_num on line 103
-Defining \g_ggen_sym_num on line 104
-Defining \cs_gen_sym:N on line 105
-Defining \cs_ggen_sym:N on line 110
-Defining \g_cs_trace_seq on line 115
-Defining \g_register_trace_seq on line 116
-Defining \dumpLaTeXstate on line 123
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3calc.sty
-Package: l3calc 2009/05/28 v1362 L3 Experimental calc module
-Defining \l_calc_expression_tl on line 56
-Defining \g_calc_A_register on line 57
-Defining \l_calc_B_register on line 58
-Defining \l_calc_current_type_int on line 59
-\l_calc_current_type_int=\count104
-Defining \g_calc_A_int on line 60
-\g_calc_A_int=\count105
-Defining \l_calc_B_int on line 61
-\l_calc_B_int=\count106
-Defining \l_calc_C_int on line 62
-\l_calc_C_int=\count107
-Defining \g_calc_A_dim on line 63
-\g_calc_A_dim=\dimen115
-Defining \l_calc_B_dim on line 64
-\l_calc_B_dim=\dimen116
-Defining \l_calc_C_dim on line 65
-\l_calc_C_dim=\dimen117
-Defining \g_calc_A_skip on line 66
-\g_calc_A_skip=\skip48
-Defining \l_calc_B_skip on line 67
-\l_calc_B_skip=\skip49
-Defining \l_calc_C_skip on line 68
-\l_calc_C_skip=\skip50
-Defining \g_calc_A_muskip on line 69
-\g_calc_A_muskip=\muskip10
-Defining \l_calc_B_muskip on line 70
-\l_calc_B_muskip=\muskip11
-Defining \l_calc_C_muskip on line 71
-\l_calc_C_muskip=\muskip12
-Defining \calc_assign_generic:NNNNnn on line 72
-Defining \calc_int_set:Nn on line 87
-Defining \calc_int_gset:Nn on line 90
-Defining \calc_int_add:Nn on line 93
-Defining \calc_int_gadd:Nn on line 96
-Defining \calc_int_sub:Nn on line 99
-Defining \calc_int_gsub:Nn on line 102
-Defining \calc_dim_set:Nn on line 105
-Defining \calc_dim_gset:Nn on line 108
-Defining \calc_dim_add:Nn on line 111
-Defining \calc_dim_gadd:Nn on line 114
-Defining \calc_dim_sub:Nn on line 117
-Defining \calc_dim_gsub:Nn on line 120
-Defining \calc_skip_set:Nn on line 123
-Defining \calc_skip_gset:Nn on line 126
-Defining \calc_skip_add:Nn on line 129
-Defining \calc_skip_gadd:Nn on line 132
-Defining \calc_skip_sub:Nn on line 135
-Defining \calc_skip_gsub:Nn on line 138
-Defining \calc_muskip_set:Nn on line 141
-Defining \calc_muskip_gset:Nn on line 145
-Defining \calc_muskip_add:Nn on line 149
-Defining \calc_muskip_gadd:Nn on line 153
-Defining \calc_muskip_sub:Nn on line 157
-Defining \calc_muskip_gsub:Nn on line 161
-Defining \calc_pre_scan:N on line 165
-Defining \calc_open:w on line 178
-Defining \calc_init_B: on line 183
-Defining \calc_numeric: on line 184
-Defining \calc_close: on line 188
-Defining \calc_post_scan:N on line 192
-Defining \calc_multiply:N on line 211
-Defining \calc_divide:N on line 227
-Defining \calc_generic_add_or_subtract:N on line 243
-Defining \calc_add: on line 249
-Defining \calc_subtract: on line 250
-Defining \calc_add_A_to_B: on line 252
-Defining \calc_subtract_A_from_B: on line 261
-Defining \calc_generic_multiply_or_divide:N on line 270
-Defining \calc_multiply_B_by_A: on line 278
-Defining \calc_divide_B_by_A: on line 287
-Defining \calc_multiply: on line 296
-Defining \calc_divide: on line 298
-Defining \calc_calculate_box_size:nnn on line 300
-Defining \calc_ratio_divide:nn on line 345
-Defining \calc_real_evaluate:nn on line 346
-Defining \calc_real_multiply:n on line 360
-Defining \calc_real_divide:n on line 361
-Defining \calc_maxmin_generic:Nnn on line 368
-Defining \calc_maxmin_div_or_mul:NNnn on line 397
-Defining \calc_maxmin_multiply: on line 407
-Defining \calc_maxmin_divide: on line 409
-Defining \calc_error:N on line 411
-Defining \calc_maxof:nn on line 416
-Defining \calc_minof:nn on line 419
-Defining \calc_widthof:n on line 424
-Defining \calc_heightof:n on line 427
-Defining \calc_depthof:n on line 430
-Defining \calc_totalheightof:n on line 433
-Defining \calc_widthof_aux:n on line 436
-Defining \calc_widthof_auxi:n on line 439
-Defining \calc_depthof_aux:n on line 440
-Defining \calc_depthof_auxi:n on line 443
-Defining \calc_heightof_aux:n on line 444
-Defining \calc_heightof_auxi:n on line 447
-Defining \calc_totalheightof_aux:n on line 448
-Defining \calc_totalheightof_auxi:n on line 451
-Defining \calc_ratio:nn on line 452
-Defining \calc_real:n on line 454
-Defining \calc_chk_document_counter:nn on line 488
-)
-(/usr/share/texmf-texlive/tex/latex/expl3/l3xref.sty
-Package: l3xref 2009/05/28 v1362 L3 Experimental cross referencing
-\g_xref_all_curr_immediate_fields_prop=\toks38
-\g_xref_all_curr_deferred_fields_prop=\toks39
-Defining \xref_new:nn on line 58
-Defining \xref_deferred_new:nn on line 59
-Defining \xref_new_aux:nnn on line 60
-Defining \xref_get_value:nn on line 74
-Defining \xref_define_label:nn on line 88
-Defining \xref_define_label_aux:nn on line 93
-\xref_write=\write4
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3keyval.sty
+Package: l3keyval 2011/06/19 v2478 L3 Experimental key-value parsing
+\g_keyval_level_int=\count115
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3keys.sty
+Package: l3keys 2011/06/19 v2478 L3 Experimental key-value interfaces
+\l_keys_choice_int=\count116
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3fp.sty
+Package: l3fp 2011/06/19 v2478 L3 Experimental floating-point operations
+\c_one_million=\count117
+\c_one_hundred_million=\count118
+\c_five_hundred_million=\count119
+\c_one_thousand_million=\count120
+\c_fp_pi_by_four_decimal_int=\count121
+\c_fp_pi_by_four_extended_int=\count122
+\c_fp_pi_decimal_int=\count123
+\c_fp_pi_extended_int=\count124
+\c_fp_two_pi_decimal_int=\count125
+\c_fp_two_pi_extended_int=\count126
+\l_fp_count_int=\count127
+\l_fp_div_offset_int=\count128
+\l_fp_exp_integer_int=\count129
+\l_fp_exp_decimal_int=\count130
+\l_fp_exp_extended_int=\count131
+\l_fp_exp_exponent_int=\count132
+\l_fp_input_a_sign_int=\count133
+\l_fp_input_a_integer_int=\count134
+\l_fp_input_a_decimal_int=\count135
+\l_fp_input_a_exponent_int=\count136
+\l_fp_input_b_sign_int=\count137
+\l_fp_input_b_integer_int=\count138
+\l_fp_input_b_decimal_int=\count139
+\l_fp_input_b_exponent_int=\count140
+\l_fp_input_a_extended_int=\count141
+\l_fp_input_b_extended_int=\count142
+\l_fp_mul_a_i_int=\count143
+\l_fp_mul_a_ii_int=\count144
+\l_fp_mul_a_iii_int=\count145
+\l_fp_mul_a_iv_int=\count146
+\l_fp_mul_a_v_int=\count147
+\l_fp_mul_a_vi_int=\count148
+\l_fp_mul_b_i_int=\count149
+\l_fp_mul_b_ii_int=\count150
+\l_fp_mul_b_iii_int=\count151
+\l_fp_mul_b_iv_int=\count152
+\l_fp_mul_b_v_int=\count153
+\l_fp_mul_b_vi_int=\count154
+\l_fp_mul_output_int=\count155
+\l_fp_output_sign_int=\count156
+\l_fp_output_integer_int=\count157
+\l_fp_output_decimal_int=\count158
+\l_fp_output_exponent_int=\count159
+\l_fp_output_extended_int=\count160
+\l_fp_round_position_int=\count161
+\l_fp_round_target_int=\count162
+\l_fp_split_sign_int=\count163
+\l_fp_tmp_int=\count164
+\l_fp_trig_octant_int=\count165
+\l_fp_trig_sign_int=\count166
+\l_fp_trig_decimal_int=\count167
+\l_fp_trig_extended_int=\count168
+\l_fp_tmp_dim=\dimen117
+\l_fp_tmp_skip=\skip51
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3luatex.sty
+Package: l3luatex 2011/06/19 v2478 L3 Experimental LuaTeX-specific functions
+\g_cctab_allocate_int=\count169
+\g_cctab_stack_int=\count170
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3kernel/l3toks.sty
+Package: l3toks 2011/06/19 v2478 L3 Experimental token registers
+\l_tmpb_toks=\toks19
+\l_tmpc_toks=\toks20
+\g_tmpa_toks=\toks21
+\g_tmpb_toks=\toks22
+\g_tmpc_toks=\toks23
+\c_empty_toks=\toks24
+\l_tl_replace_toks=\toks25
+))
+Package: xparse 2011/07/02 v2492 L3 Experimental document command parser
+\l_xparse_m_args_int=\count171
+\l_xparse_mandatory_args_int=\count172
+\l_xparse_processor_int=\count173
+\l_xparse_total_args_int=\count174

 )
 )

-(/usr/share/texmf-texlive/tex/latex/expl3/l3file.sty
-Package: l3file 2009/05/28 v1352 L3 Experimental file loading
-Defining \g_file_record_clist on line 57
-Defining \g_file_record_full_clist on line 58
-Defining \l_file_search_path_clist on line 59
-\l_file_test_read_stream=\read1
-Defining \l_file_tmp_bool on line 61
-Defining \l_file_tmp_tl on line 62
-Defining \file_if_exist_p:n on line 71
-Defining \file_if_exist:nTF on line 71
-Defining \file_if_exist:nT on line 71
-Defining \file_if_exist:nF on line 71
-Defining \file_if_exist_path:n on line 91
-Defining \file_if_exist_aux:n on line 92
-Defining \file_add_path:nN on line 102
-Defining \file_add_path_search:nN on line 115
-Defining \file_add_path_aux:n on line 116
-Defining \file_input:n on line 122
-Defining \file_input_no_record:n on line 128
-Defining \file_input_no_check:n on line 135
-Defining \file_input_no_check_no_record:n on line 139
-Defining \file_list: on line 142
-Defining \file_list_full: on line 145
-Defining \file_list:N on line 151
-Defining \file_list_aux:n on line 154
+Package: l3keys2e 2011/07/02 v2492 LaTeX2e option processing using LaTeX3 keys

 )
 )

-Package: xfrac 2009/08/10 v0.2a Text fractions
-
-(/usr/share/texmf-texlive/tex/latex/base/textcomp.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/base/textcomp.sty

 Package: textcomp 2005/09/27 v1.99g Standard LaTeX package
 Package textcomp Info: Sub-encoding information:
 (textcomp)               5 = only ISO-Adobe without \textcurrency
 Package: textcomp 2005/09/27 v1.99g Standard LaTeX package
 Package textcomp Info: Sub-encoding information:
 (textcomp)               5 = only ISO-Adobe without \textcurrency


@@ -2406,12 +522,12 @@ Package textcomp Info: Sub-encoding information:
 (textcomp)             See the documentation for details.
 Package textcomp Info: Setting ? sub-encoding to TS1/1 on input line 71.
 
 (textcomp)             See the documentation for details.
 Package textcomp Info: Setting ? sub-encoding to TS1/1 on input line 71.
 

-(/usr/share/texmf-texlive/tex/latex/base/ts1enc.def
+(/usr/lib/texlive/texmf-dist/tex/latex/base/ts1enc.def

 File: ts1enc.def 2001/06/05 v3.0e (jk/car/fm) Standard LaTeX file
 Now handling font encoding TS1 ...
 ... processing UTF-8 mapping file for font encoding TS1
 
 File: ts1enc.def 2001/06/05 v3.0e (jk/car/fm) Standard LaTeX file
 Now handling font encoding TS1 ...
 ... processing UTF-8 mapping file for font encoding TS1
 

-(/usr/share/texmf-texlive/tex/latex/base/ts1enc.dfu
+(/usr/lib/texlive/texmf-dist/tex/latex/base/ts1enc.dfu

 File: ts1enc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc
    defining Unicode char U+00A2 (decimal 162)
    defining Unicode char U+00A3 (decimal 163)
 File: ts1enc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc
    defining Unicode char U+00A2 (decimal 162)
    defining Unicode char U+00A3 (decimal 163)


@@ -2515,330 +631,152 @@ Package textcomp Info: Setting pxtt sub-encoding to TS1/0 on input line 307.
 Package textcomp Info: Setting txr sub-encoding to TS1/0 on input line 308.
 Package textcomp Info: Setting txss sub-encoding to TS1/0 on input line 309.
 Package textcomp Info: Setting txtt sub-encoding to TS1/0 on input line 310.
 Package textcomp Info: Setting txr sub-encoding to TS1/0 on input line 308.
 Package textcomp Info: Setting txss sub-encoding to TS1/0 on input line 309.
 Package textcomp Info: Setting txtt sub-encoding to TS1/0 on input line 310.

-Package textcomp Info: Setting futs sub-encoding to TS1/4 on input line 311.
-Package textcomp Info: Setting futx sub-encoding to TS1/4 on input line 312.
-Package textcomp Info: Setting futj sub-encoding to TS1/4 on input line 313.
-Package textcomp Info: Setting hlh sub-encoding to TS1/3 on input line 314.
-Package textcomp Info: Setting hls sub-encoding to TS1/3 on input line 315.
-Package textcomp Info: Setting hlst sub-encoding to TS1/3 on input line 316.
-Package textcomp Info: Setting hlct sub-encoding to TS1/5 on input line 317.
-Package textcomp Info: Setting hlx sub-encoding to TS1/5 on input line 318.
-Package textcomp Info: Setting hlce sub-encoding to TS1/5 on input line 319.
-Package textcomp Info: Setting hlcn sub-encoding to TS1/5 on input line 320.
-Package textcomp Info: Setting hlcw sub-encoding to TS1/5 on input line 321.
-Package textcomp Info: Setting hlcf sub-encoding to TS1/5 on input line 322.
-Package textcomp Info: Setting pplx sub-encoding to TS1/3 on input line 323.
-Package textcomp Info: Setting pplj sub-encoding to TS1/3 on input line 324.
-Package textcomp Info: Setting ptmx sub-encoding to TS1/4 on input line 325.
-Package textcomp Info: Setting ptmj sub-encoding to TS1/4 on input line 326.
-)
-(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
-Package: amstext 2000/06/29 v2.01
-
-(/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty
-File: amsgen.sty 1999/11/30 v2.0
-\@emptytoks=\toks40
-\ex@=\dimen118
-))
-(/usr/share/texmf-texlive/tex/latex/xpackages/xbase/template.sty
-Package: template 2009/08/15 v1461 template
-
-(/usr/share/texmf-texlive/tex/latex/xpackages/xbase/ldcsetup.sty
-Package: ldcsetup 2009/05/06 v1295 coding conventions and stuff
-\KV@toks=\toks41
-)
-(/usr/share/texmf-texlive/tex/latex/xpackages/xbase/xparse.sty
-Package: xparse 2009/08/31 v1497 Generic document command parser
-\c_xparse_shorthands_prop=\toks42
-\l_xparse_arg_toks=\toks43
-\l_xparse_args_toks=\toks44
-\l_xparse_environment_args_toks=\toks45
-Defining \l_xparse_error_bool on line 72
-Defining \l_xparse_function_tl on line 73
-\l_xparse_last_arg_tl=\toks46
-Defining \l_xparse_long_bool on line 75
-Defining \l_xparse_m_args_int on line 76
-\l_xparse_m_args_int=\count108
-Defining \l_xparse_m_only_bool on line 77
-Defining \l_xparse_mandatory_args_int on line 78
-\l_xparse_mandatory_args_int=\count109
-Defining \l_xparse_processor_bool on line 79
-Defining \l_xparse_processor_int on line 80
-\l_xparse_processor_int=\count110
-\l_xparse_signature_toks=\toks47
-Defining \l_xparse_tmp_tl on line 82
-Defining \l_xparse_total_args_int on line 83
-\l_xparse_total_args_int=\count111
-Defining \q_xparse_stop on line 84
-Defining \xparse_add_grabber_mandatory:N on line 93
-Defining \xparse_add_grabber_optional:N on line 106
-Defining \xparse_add_type_+:w on line 107
-Defining \xparse_add_type_>:w on line 114
-Defining \xparse_add_type_d:w on line 123
-Defining \xparse_add_type_D:w on line 126
-Defining \xparse_add_type_g:w on line 132
-Defining \xparse_add_type_G:w on line 135
-Defining \xparse_add_type_l:w on line 141
-Defining \xparse_add_type_m:w on line 146
-Defining \xparse_add_type_t:w on line 157
-Defining \xparse_add_type_u:w on line 163
-Defining \xparse_check_and_add:N on line 176
-Defining \xparse_count_mandatory:n on line 180
-Defining \xparse_count_mandatory:N on line 190
-Defining \xparse_count_mandatory_aux:N on line 197
-Defining \xparse_count_type_>:w on line 198
-Defining \xparse_count_type_+:w on line 201
-Defining \xparse_count_type_d:w on line 204
-Defining \xparse_count_type_D:w on line 207
-Defining \xparse_count_type_g:w on line 210
-Defining \xparse_count_type_G:w on line 213
-Defining \xparse_count_type_l:w on line 216
-Defining \xparse_count_type_m:w on line 220
-Defining \xparse_count_type_t:w on line 224
-Defining \xparse_count_type_u:w on line 227
-Defining \xparse_declare_cmd:Nnn on line 239
-Defining \xparse_declare_cmd:cnn on line 240
-Defining \xparse_declare_cmd_all_m:Nn on line 244
-Defining \xparse_declare_cmd_mixed:Nn on line 256
-Defining \xparse_declare_cmd_implementation:nNn on line 260
-Defining \xparse_declare_cmd_interface:Nnn on line 270
-Defining \xparse_declare_cmd_interface_all_m:Nn on line 275
-Defining \xparse_declare_cmd_interface_mixed:Nn on line 288
-Defining \xparse_declare_env:nnnn on line 310
-Defining \xparse_flush_m_args: on line 324
-Defining \xparse_if_no_value:nTF on line 331
-Defining \xparse_if_no_value:nT on line 331
-Defining \xparse_if_no_value:nF on line 331
-Defining \xparse_prepare_signature:n on line 340
-Defining \xparse_prepare_signature:N on line 344
-Defining \xparse_prepare_signature_aux:N on line 359
-Defining \xparse_process_arg:n on line 366
-Defining \xparse_add_arg:n on line 378
-Defining \xparse_add_arg_aux:n on line 390
-Defining \xparse_add_arg_aux:V on line 391
-Defining \xparse_grab_aux:w on line 392
-Defining \xparse_grab_D:w on line 393
-Defining \xparse_grab_D_long:w on line 397
-Defining \xparse_grab_D_trailing:w on line 401
-Defining \xparse_grab_D_long_trailing:w on line 404
-Defining \xparse_grab_G:w on line 420
-Defining \xparse_grab_G_long:w on line 423
-Defining \xparse_grab_G_trailing:w on line 426
-Defining \xparse_grab_G_long_trailing:w on line 429
-Defining \xparse_grab_l:w on line 444
-Defining \xparse_grab_l_long:w on line 447
-Defining \xparse_grab_l_aux:nN on line 456
-Defining \xparse_grab_m:w on line 457
-Defining \xparse_grab_m_long:w on line 464
-Defining \xparse_grab_m_1:w on line 471
-Defining \xparse_grab_m_2:w on line 478
-Defining \xparse_grab_m_3:w on line 485
-Defining \xparse_grab_m_4:w on line 492
-Defining \xparse_grab_m_5:w on line 499
-Defining \xparse_grab_m_6:w on line 508
-Defining \xparse_grab_m_7:w on line 517
-Defining \xparse_grab_m_8:w on line 526
-Defining \xparse_grab_t:w on line 535
-Defining \xparse_grab_t_long:w on line 538
-Defining \xparse_grab_t_trailing:w on line 541
-Defining \xparse_grab_t_long_trailing:w on line 544
-Defining \xparse_grab_t_aux:NnNn on line 558
-Defining \xparse_grab_u:w on line 559
-Defining \xparse_grab_u_long:w on line 562
-Defining \xparse_grab_u_aux:NnN on line 571
-Defining \xparse_process_to_str:n on line 576
-Defining \xparse_process_comma_split:n on line 583
-Defining \xparse_process_comma_split_aux:w on line 584
-Defining \xparse_exp_add_type_d:w on line 587
-Defining \xparse_exp_add_type_D:w on line 590
-Defining \xparse_exp_add_type_l:w on line 613
-Defining \xparse_exp_add_type_m:w on line 626
-Defining \xparse_exp_add_type_t:w on line 640
-Defining \xparse_exp_add_type_u:w on line 659
-Defining \xparse_exp_check_and_add:N on line 681
-Defining \xparse_exp_declare_cmd:Nnn on line 692
-Defining \xparse_exp_declare_cmd_all_m:Nn on line 701
-Defining \xparse_exp_declare_cmd_mixed:Nn on line 708
-Defining \xparse_exp_declare_cmd_mixed_aux:Nn on line 720
-Defining \xparse_exp_prepare_function:n on line 738
-Defining \xparse_exp_prepare_function_aux:n on line 750
-Defining \xparse_exp_prepare_function:N on line 757
-Defining \xparse_exp_prepare_function_long:N on line 768
-Defining \xparse_exp_prepare_function_short:N on line 783
-Defining \xparse_exp_set:cpx on line 784
-Defining \msg_text > xparse/command-already-defined:nn on line 785
-Defining \msg_text > xparse/command-not-yet-defined:nn on line 792
-Defining \msg_text > xparse/environment-already-defined:nn on line 799
-Defining \msg_text > xparse/environment-not-yet-defined:nn on line 802
-Defining \msg_text > xparse/expandable-ending-optional:nn on line 805
-Defining \msg_text > xparse/grouped-in-expandable:nn on line 810
-Defining \msg_text > xparse/inconsistent-long:nn on line 816
-Defining \msg_text > xparse/processor-in-expandable:nn on line 821
-Defining \msg_text > xparse/unknown-argument-type:nn on line 827
-Defining \BooleanFalse on line 830
-Defining \BooleanTrue on line 831
-Defining \IfBooleanTF on line 885
-Defining \IfBooleanT on line 886
-Defining \IfBooleanF on line 887
-Defining \IfNoValueF on line 888
-Defining \IfNoValueT on line 889
-Defining \IfNoValueTF on line 890
-)
-\l_TP_KV_assignments_toks=\toks48
-\l_TP_default_assignments_toks=\toks49
-Defining \TP_declare_instance:Nnn on line 77
-Defining \TP_declare_instance:cnn on line 78
-Defining \UseTemplate on line 80
-Defining \DoParameterAssignments on line 85
-Defining \TP_pop_and_execute_assignments:nw on line 90
-\g_TP_assignments_stack_toks=\toks50
-Defining \TP_push_assignments:n on line 95
-Defining \TP_push_assignments: on line 98
-Defining \DeclareTemplateType on line 104
-Defining \TP_get_csname_prefix:n on line 110
-Defining \TP_get_arg_count:n on line 115
-Defining \DeclareTemplate on line 116
-Defining \TP_templdecl_process_KV:nn on line 148
-Defining \TP_templdecl_parse_KV:N on line 153
-Defining \l_TP_global_assignment_bool on line 154
-Defining \TP_use_arg_type_+:w on line 155
-Defining \TP_use_arg_type_l:w on line 161
-Defining \TP_use_arg_type_L:w on line 170
-Defining \TP_use_arg_type_c:w on line 174
-Defining \TP_use_arg_type_C:w on line 183
-Defining \TP_use_arg_type_n:w on line 188
-Defining \TP_use_arg_type_f:w on line 192
-Defining \TP_templdecl_parse_f_arg:nw on line 196
-Defining \TP_use_arg_type_b:w on line 199
-Defining \TP_templdecl_setup_b_key:n on line 203
-Defining \TP_templdecl_eval_b_key_value:nn on line 208
-Defining \TP_use_arg_type_s:w on line 216
-Defining \TP_templdecl_setup_s_key:n on line 220
-Defining \TP_use_arg_type_i:w on line 224
-Defining \TP_templdecl_setup_i_key:nnn on line 227
-Defining \TP_templdecl_eval_i_key_value:Nnn on line 233
-Defining \TP_use_arg_type_x:w on line 257
-Defining \TP_templdecl_setup_x_key:n on line 261
-Defining \TP_use_arg_type_g:w on line 265
-Defining \TP_templdecl_setup_g_key:n on line 269
-Defining \TP_templdecl_define_key:n on line 271
-Defining \TP_templdecl_finish_key_setup:nw on line 294
-Defining \TP_templdecl_finish_key_setup_with_default:nnw on line 298
-Defining \c_TP_true_tl on line 320
-Defining \TP_templdecl_eval_s_key_value:nnn on line 321
-Defining \TP_templdecl_setup_register_key:Nn on line 327
-Defining \DelayEvaluation on line 367
-Defining \MultiSelection on line 368
-Defining \TP_templdecl_remove_from_default_assignments:N on line 369
-Defining \TP_templdecl_setup_f_key:Nn on line 375
-Defining \TP_templdecl_define_function:NNn on line 379
-Defining \TP_templdecl_setup_n_key:N on line 385
-Defining \TP_templdecl_multiselection:nnnn on line 403
-Defining \DeclareInstance on line 412
-Defining \DeclareCollectionInstance on line 413
-Defining \UseCollection on line 416
-Defining \TP_let_instance:Nnn on line 420
-Defining \UseInstance on line 429
-Defining \TP_templdecl_declare_tmp_instance:nnnn on line 435
-Defining \ShowTemplate on line 437
-Defining \ShowCollectionInstance on line 453
-Defining \ShowInstance on line 457
-Defining \TP_templdecl_setup_fakeregister_key:NNn on line 458
-\g_TP_multiselection_toks=\toks51
-Defining \TP_multiselection_add:nnnnnn on line 487
-Defining \TP_multiselection_add_or_case:n on line 503
-Defining \TP_multiselection_add_or_case:o on line 508
-Defining \IfExistsInstanceTF on line 509
-Defining \DeclareRestrictedTemplate on line 519
-Defining \TP_instdecl_generate_assignments:nn on line 532
-Defining \TP_instdecl_add_default_recurse:nn on line 547
-Defining \TP_split_finite_skip_value:nnNN on line 558
-)
-Defining \g_cm_recommended_bool on line 34
-Defining \l_xfrac_temp_box on line 41
-\l_xfrac_temp_box=\box29
-Defining \l_xfrac_slash_box on line 42
-\l_xfrac_slash_box=\box30
-)
-(/usr/share/texmf-texlive/tex/latex/amsfonts/amssymb.sty
+Package textcomp Info: Setting lmr sub-encoding to TS1/0 on input line 311.
+Package textcomp Info: Setting lmdh sub-encoding to TS1/0 on input line 312.
+Package textcomp Info: Setting lmss sub-encoding to TS1/0 on input line 313.
+Package textcomp Info: Setting lmssq sub-encoding to TS1/0 on input line 314.
+Package textcomp Info: Setting lmvtt sub-encoding to TS1/0 on input line 315.
+Package textcomp Info: Setting qhv sub-encoding to TS1/0 on input line 316.
+Package textcomp Info: Setting qag sub-encoding to TS1/0 on input line 317.
+Package textcomp Info: Setting qbk sub-encoding to TS1/0 on input line 318.
+Package textcomp Info: Setting qcr sub-encoding to TS1/0 on input line 319.
+Package textcomp Info: Setting qcs sub-encoding to TS1/0 on input line 320.
+Package textcomp Info: Setting qpl sub-encoding to TS1/0 on input line 321.
+Package textcomp Info: Setting qtm sub-encoding to TS1/0 on input line 322.
+Package textcomp Info: Setting qzc sub-encoding to TS1/0 on input line 323.
+Package textcomp Info: Setting qhvc sub-encoding to TS1/0 on input line 324.
+Package textcomp Info: Setting futs sub-encoding to TS1/4 on input line 325.
+Package textcomp Info: Setting futx sub-encoding to TS1/4 on input line 326.
+Package textcomp Info: Setting futj sub-encoding to TS1/4 on input line 327.
+Package textcomp Info: Setting hlh sub-encoding to TS1/3 on input line 328.
+Package textcomp Info: Setting hls sub-encoding to TS1/3 on input line 329.
+Package textcomp Info: Setting hlst sub-encoding to TS1/3 on input line 330.
+Package textcomp Info: Setting hlct sub-encoding to TS1/5 on input line 331.
+Package textcomp Info: Setting hlx sub-encoding to TS1/5 on input line 332.
+Package textcomp Info: Setting hlce sub-encoding to TS1/5 on input line 333.
+Package textcomp Info: Setting hlcn sub-encoding to TS1/5 on input line 334.
+Package textcomp Info: Setting hlcw sub-encoding to TS1/5 on input line 335.
+Package textcomp Info: Setting hlcf sub-encoding to TS1/5 on input line 336.
+Package textcomp Info: Setting pplx sub-encoding to TS1/3 on input line 337.
+Package textcomp Info: Setting pplj sub-encoding to TS1/3 on input line 338.
+Package textcomp Info: Setting ptmx sub-encoding to TS1/4 on input line 339.
+Package textcomp Info: Setting ptmj sub-encoding to TS1/4 on input line 340.
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/l3packages/xtemplate/xtemplate.sty
+Package: xtemplate 2011/07/02 v2492 L3 Experimental prototype document function
+s
+\l_xtemplate_tmp_dim=\dimen118
+\l_xtemplate_tmp_int=\count175
+\l_xtemplate_tmp_muskip=\muskip10
+\l_xtemplate_tmp_skip=\skip52
+)
+Package: xfrac 2011/05/11 v2349 L3 Experimental split-level fractions
+\l_xfrac_slash_box=\box29
+\l_xfrac_tmp_box=\box30
+\l_xfrac_denominator_bot_sep_dim=\dimen119
+\l_xfrac_numerator_bot_sep_dim=\dimen120
+\l_xfrac_numerator_top_sep_dim=\dimen121
+\l_xfrac_slash_left_sep_dim=\dimen122
+\l_xfrac_slash_right_sep_dim=\dimen123
+\l_xfrac_slash_left_muskip=\muskip11
+\l_xfrac_slash_right_muskip=\muskip12
+.................................................
+. xtemplate info: "declare-object-type"
+. 
+. Declaring object type 'xfrac' taking 3 argument(s) on line 96.
+.................................................
+.................................................
+. xparse info: "define-command"
+. 
+. Defining document command \sfrac with arg. spec. 'omom' on line 431.
+.................................................
+)
+(/usr/lib/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty

 Package: amssymb 2009/06/22 v3.00
 
 Package: amssymb 2009/06/22 v3.00
 

-(/usr/share/texmf-texlive/tex/latex/amsfonts/amsfonts.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty

 Package: amsfonts 2009/06/22 v3.00 Basic AMSFonts support
 \symAMSa=\mathgroup4
 \symAMSb=\mathgroup5
 LaTeX Font Info:    Overwriting math alphabet `\mathfrak' in version `bold'
 (Font)                  U/euf/m/n --> U/euf/b/n on input line 96.
 ))
 Package: amsfonts 2009/06/22 v3.00 Basic AMSFonts support
 \symAMSa=\mathgroup4
 \symAMSb=\mathgroup5
 LaTeX Font Info:    Overwriting math alphabet `\mathfrak' in version `bold'
 (Font)                  U/euf/m/n --> U/euf/b/n on input line 96.
 ))

-(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty

 Package: amsmath 2000/07/18 v2.13 AMS math features
 Package: amsmath 2000/07/18 v2.13 AMS math features

-\@mathmargin=\skip51
+\@mathmargin=\skip53

 
 For additional information on amsmath, use the `?' option.
 
 For additional information on amsmath, use the `?' option.

-(/usr/share/texmf-texlive/tex/latex/amsmath/amsbsy.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty

 Package: amsbsy 1999/11/29 v1.2d
 Package: amsbsy 1999/11/29 v1.2d

-\pmbraise@=\dimen119
+\pmbraise@=\dimen124

 )
 )

-(/usr/share/texmf-texlive/tex/latex/amsmath/amsopn.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty

 Package: amsopn 1999/12/14 v2.01 operator names
 )
 Package: amsopn 1999/12/14 v2.01 operator names
 )

-\inf@bad=\count112
+\inf@bad=\count176

 LaTeX Info: Redefining \frac on input line 211.
 LaTeX Info: Redefining \frac on input line 211.

-\uproot@=\count113
-\leftroot@=\count114
+\uproot@=\count177
+\leftroot@=\count178

 LaTeX Info: Redefining \overline on input line 307.
 LaTeX Info: Redefining \overline on input line 307.

-\classnum@=\count115
-\DOTSCASE@=\count116
+\classnum@=\count179
+\DOTSCASE@=\count180

 LaTeX Info: Redefining \ldots on input line 379.
 LaTeX Info: Redefining \dots on input line 382.
 LaTeX Info: Redefining \cdots on input line 467.
 \Mathstrutbox@=\box31
 \strutbox@=\box32
 LaTeX Info: Redefining \ldots on input line 379.
 LaTeX Info: Redefining \dots on input line 382.
 LaTeX Info: Redefining \cdots on input line 467.
 \Mathstrutbox@=\box31
 \strutbox@=\box32

-\big@size=\dimen120
+\big@size=\dimen125

 LaTeX Font Info:    Redeclaring font encoding OML on input line 567.
 LaTeX Font Info:    Redeclaring font encoding OMS on input line 568.
 LaTeX Font Info:    Redeclaring font encoding OML on input line 567.
 LaTeX Font Info:    Redeclaring font encoding OMS on input line 568.

-\macc@depth=\count117
-\c@MaxMatrixCols=\count118
+\macc@depth=\count181
+\c@MaxMatrixCols=\count182

 \dotsspace@=\muskip13
 \dotsspace@=\muskip13

-\c@parentequation=\count119
-\dspbrk@lvl=\count120
-\tag@help=\toks52
-\row@=\count121
-\column@=\count122
-\maxfields@=\count123
-\andhelp@=\toks53
-\eqnshift@=\dimen121
-\alignsep@=\dimen122
-\tagshift@=\dimen123
-\tagwidth@=\dimen124
-\totwidth@=\dimen125
-\lineht@=\dimen126
-\@envbody=\toks54
-\multlinegap=\skip52
-\multlinetaggap=\skip53
-\mathdisplay@stack=\toks55
+\c@parentequation=\count183
+\dspbrk@lvl=\count184
+\tag@help=\toks26
+\row@=\count185
+\column@=\count186
+\maxfields@=\count187
+\andhelp@=\toks27
+\eqnshift@=\dimen126
+\alignsep@=\dimen127
+\tagshift@=\dimen128
+\tagwidth@=\dimen129
+\totwidth@=\dimen130
+\lineht@=\dimen131
+\@envbody=\toks28
+\multlinegap=\skip54
+\multlinetaggap=\skip55
+\mathdisplay@stack=\toks29

 LaTeX Info: Redefining \[ on input line 2666.
 LaTeX Info: Redefining \] on input line 2667.
 )
 LaTeX Info: Redefining \[ on input line 2666.
 LaTeX Info: Redefining \] on input line 2667.
 )

-(/usr/share/texmf-texlive/tex/latex/geometry/geometry.sty
-Package: geometry 2008/12/21 v4.2 Page Geometry
+(/usr/lib/texlive/texmf-dist/tex/latex/geometry/geometry.sty
+Package: geometry 2010/09/12 v5.6 Page Geometry

 
 

-(/usr/share/texmf-texlive/tex/generic/oberdiek/ifpdf.sty
-Package: ifpdf 2009/04/10 v2.0 Provides the ifpdf switch (HO)
-Package ifpdf Info: pdfTeX in pdf mode not detected.
+(/usr/lib/texlive/texmf-dist/tex/generic/oberdiek/ifpdf.sty
+Package: ifpdf 2011/01/30 v2.3 Provides the ifpdf switch (HO)
+Package ifpdf Info: pdfTeX in PDF mode is not detected.

 )
 )

-(/usr/share/texmf-texlive/tex/generic/oberdiek/ifvtex.sty
-Package: ifvtex 2008/11/04 v1.4 Switches for detecting VTeX and its modes (HO)
+(/usr/lib/texlive/texmf-dist/tex/generic/oberdiek/ifvtex.sty
+Package: ifvtex 2010/03/01 v1.5 Switches for detecting VTeX and its modes (HO)

 Package ifvtex Info: VTeX not detected.
 )
 Package ifvtex Info: VTeX not detected.
 )

-\Gm@cnth=\count124
-\Gm@cntv=\count125
-\c@Gm@tempcnt=\count126
-\Gm@bindingoffset=\dimen127
-\Gm@wd@mp=\dimen128
-\Gm@odd@mp=\dimen129
-\Gm@even@mp=\dimen130
-\Gm@dimlist=\toks56
+(/usr/lib/texlive/texmf-dist/tex/generic/ifxetex/ifxetex.sty
+Package: ifxetex 2010/09/12 v0.6 Provides ifxetex conditional
+)
+\Gm@cnth=\count188
+\Gm@cntv=\count189
+\c@Gm@tempcnt=\count190
+\Gm@bindingoffset=\dimen132
+\Gm@wd@mp=\dimen133
+\Gm@odd@mp=\dimen134
+\Gm@even@mp=\dimen135
+\Gm@layoutwidth=\dimen136
+\Gm@layoutheight=\dimen137
+\Gm@layouthoffset=\dimen138
+\Gm@layoutvoffset=\dimen139
+\Gm@dimlist=\toks30

 ) (./rapport.aux)
 \openout1 = `rapport.aux'.
 
 ) (./rapport.aux)
 \openout1 = `rapport.aux'.
 


@@ -2857,114 +795,110 @@ LaTeX Font Info:    ... okay on input line 43.
 LaTeX Font Info:    Checking defaults for TS1/cmr/m/n on input line 43.
 LaTeX Font Info:    Try loading font information for TS1+cmr on input line 43.
 
 LaTeX Font Info:    Checking defaults for TS1/cmr/m/n on input line 43.
 LaTeX Font Info:    Try loading font information for TS1+cmr on input line 43.
 

-(/usr/share/texmf-texlive/tex/latex/base/ts1cmr.fd
+(/usr/lib/texlive/texmf-dist/tex/latex/base/ts1cmr.fd

 File: ts1cmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions
 )
 LaTeX Font Info:    ... okay on input line 43.
 File: ts1cmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions
 )
 LaTeX Font Info:    ... okay on input line 43.

-\c@lstlisting=\count127
+\c@lstlisting=\count191
+
+*geometry* driver: auto-detecting
+*geometry* detected driver: dvips
+*geometry* verbose mode - [ preamble ] result:
+* driver: dvips
+* paper: a4paper
+* layout: <same size as paper>
+* layoutoffset:(h,v)=(0.0pt,0.0pt)
+* modes: 
+* h-part:(L,W,R)=(65.04256pt, 467.42276pt, 65.04256pt)
+* v-part:(T,H,B)=(65.04256pt, 714.96173pt, 65.04256pt)
+* \paperwidth=597.50787pt
+* \paperheight=845.04684pt
+* \textwidth=467.42276pt
+* \textheight=714.96173pt
+* \oddsidemargin=-7.22743pt
+* \evensidemargin=-7.22743pt
+* \topmargin=-44.22743pt
+* \headheight=12.0pt
+* \headsep=25.0pt
+* \topskip=12.0pt
+* \footskip=30.0pt
+* \marginparwidth=35.0pt
+* \marginparsep=10.0pt
+* \columnsep=10.0pt
+* \skip\footins=10.8pt plus 4.0pt minus 2.0pt
+* \hoffset=0.0pt
+* \voffset=0.0pt
+* \mag=1000
+* \@twocolumnfalse
+* \@twosidefalse
+* \@mparswitchfalse
+* \@reversemarginfalse
+* (1in=72.27pt=25.4mm, 1cm=28.453pt)

 
 

-*geometry auto-detecting driver*
-*geometry detected driver: dvips*
--------------------- Geometry parameters
-paper: a4paper
-landscape: --
-twocolumn: --
-twoside: --
-asymmetric: --
-h-parts: 72.26999pt, 452.9679pt, 72.26999pt
-v-parts: 72.26999pt, 700.50687pt, 72.26999pt
-hmarginratio: --
-vmarginratio: --
-lines: --
-heightrounded: --
-bindingoffset: 0.0pt
-truedimen: --
-includehead: --
-includefoot: --
-includemp: --
-driver: dvips
--------------------- Page layout dimensions and switches
-\paperwidth  597.50787pt
-\paperheight 845.04684pt
-\textwidth  452.9679pt
-\textheight 700.50687pt
-\oddsidemargin  0.0pt
-\evensidemargin 0.0pt
-\topmargin  -37.0pt
-\headheight 12.0pt
-\headsep    25.0pt
-\footskip   30.0pt
-\marginparwidth 35.0pt
-\marginparsep   10.0pt
-\columnsep  10.0pt
-\skip\footins  10.8pt plus 4.0pt minus 2.0pt
-\hoffset 0.0pt
-\voffset 0.0pt
-\mag 1000
-
-(1in=72.27pt, 1cm=28.45pt)
------------------------

 LaTeX Font Info:    Try loading font information for U+msa on input line 50.
 LaTeX Font Info:    Try loading font information for U+msa on input line 50.

-(/usr/share/texmf-texlive/tex/latex/amsfonts/umsa.fd
+(/usr/lib/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd

 File: umsa.fd 2009/06/22 v3.00 AMS symbols A
 )
 LaTeX Font Info:    Try loading font information for U+msb on input line 50.
 
 File: umsa.fd 2009/06/22 v3.00 AMS symbols A
 )
 LaTeX Font Info:    Try loading font information for U+msb on input line 50.
 

-(/usr/share/texmf-texlive/tex/latex/amsfonts/umsb.fd
+(/usr/lib/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd

 File: umsb.fd 2009/06/22 v3.00 AMS symbols B
 ) [1
 
 ] [2] [3]
 File: umsb.fd 2009/06/22 v3.00 AMS symbols B
 ) [1
 
 ] [2] [3]

-LaTeX Font Info:    Calculating math sizes for size <7.66495> on input line 271
+LaTeX Font Info:    Calculating math sizes for size <8.39996> on input line 268

 .
 
 
 .
 
 

-LaTeX Font Warning: Font shape `OT1/cmr/m/n' in size <3.83247> not available
-(Font)              size <5> substituted on input line 271.
+LaTeX Font Warning: Font shape `OT1/cmr/m/n' in size <4.19998> not available
+(Font)              size <5> substituted on input line 268.

 
 
 
 

-LaTeX Font Warning: Font shape `OML/cmm/m/it' in size <3.83247> not available
-(Font)              size <5> substituted on input line 271.
+LaTeX Font Warning: Font shape `OML/cmm/m/it' in size <4.19998> not available
+(Font)              size <5> substituted on input line 268.

 
 
 
 

-LaTeX Font Warning: Font shape `OMS/cmsy/m/n' in size <3.83247> not available
-(Font)              size <5> substituted on input line 271.
+LaTeX Font Warning: Font shape `OMS/cmsy/m/n' in size <4.19998> not available
+(Font)              size <5> substituted on input line 268.

 
 

-(/usr/share/texmf-texlive/tex/latex/listings/lstlang1.sty
+(/usr/lib/texlive/texmf-dist/tex/latex/listings/lstlang1.sty

 File: lstlang1.sty 2004/09/05 1.3 listings language file
 ) (./simulate.py
 LaTeX Font Info:    Try loading font information for OML+cmr on input line 15.
 
 File: lstlang1.sty 2004/09/05 1.3 listings language file
 ) (./simulate.py
 LaTeX Font Info:    Try loading font information for OML+cmr on input line 15.
 

-(/usr/share/texmf-texlive/tex/latex/base/omlcmr.fd
+(/usr/lib/texlive/texmf-dist/tex/latex/base/omlcmr.fd

 File: omlcmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions
 )
 LaTeX Font Info:    Font shape `OML/cmr/m/n' in size <8> not available
 (Font)              Font shape `OML/cmm/m/it' tried instead on input line 15.
 LaTeX Font Info:    Try loading font information for OMS+cmr on input line 35.
 
 File: omlcmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions
 )
 LaTeX Font Info:    Font shape `OML/cmr/m/n' in size <8> not available
 (Font)              Font shape `OML/cmm/m/it' tried instead on input line 15.
 LaTeX Font Info:    Try loading font information for OMS+cmr on input line 35.
 

-(/usr/share/texmf-texlive/tex/latex/base/omscmr.fd
+(/usr/lib/texlive/texmf-dist/tex/latex/base/omscmr.fd

 File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions
 )
 LaTeX Font Info:    Font shape `OMS/cmr/m/n' in size <8> not available
 (Font)              Font shape `OMS/cmsy/m/n' tried instead on input line 35.
 File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions
 )
 LaTeX Font Info:    Font shape `OMS/cmr/m/n' in size <8> not available
 (Font)              Font shape `OMS/cmsy/m/n' tried instead on input line 35.

- [4]) [5] [6]
+ [4])
+File: figur.eps Graphic file (type eps)
+ <figur.eps>
+[5] [6]

 
 

-LaTeX Font Warning: Font shape `OT1/cmr/bx/n' in size <3.83247> not available
-(Font)              size <5> substituted on input line 437.
+LaTeX Font Warning: Font shape `OT1/cmr/bx/n' in size <4.19998> not available
+(Font)              size <5> substituted on input line 444.

 
 

-[7] (./mostimportant.py [8]) [9] (./rapport.aux)
+[7] [8] (./mostimportant.py) [9] (./rapport.aux)

 
 LaTeX Font Warning: Size substitutions with differences
 (Font)              up to 2.90001pt have occurred.
 
  ) 
 Here is how much of TeX's memory you used:
 
 LaTeX Font Warning: Size substitutions with differences
 (Font)              up to 2.90001pt have occurred.
 
  ) 
 Here is how much of TeX's memory you used:

- 8256 strings out of 495062
- 123525 string characters out of 1182643
- 255580 words of memory out of 3000000
- 11282 multiletter control sequences out of 15000+50000
- 22978 words of font info for 92 fonts, out of 3000000 for 9000
- 28 hyphenation exceptions out of 8191
- 37i,20n,43p,236b,1678s stack positions out of 5000i,500n,10000p,200000b,50000s
-
-Output written on rapport.dvi (9 pages, 52916 bytes).
+ 9520 strings out of 493630
+ 149872 string characters out of 3146293
+ 300141 words of memory out of 3000000
+ 12665 multiletter control sequences out of 15000+200000
+ 20467 words of font info for 82 fonts, out of 3000000 for 9000
+ 831 hyphenation exceptions out of 8191
+ 46i,20n,43p,458b,1668s stack positions out of 5000i,500n,10000p,200000b,50000s
+
+Output written on rapport.dvi (9 pages, 54488 bytes).

diff --git a/rapport.pdf b/rapport.pdf
index df60801d7583520a0185f457092f24a853036bbb..f5b69aab4c14377a46f28bed8cd3bdb5bad41613 100644 (file)
Binary files a/rapport.pdf and b/rapport.pdf differ

diff --git a/rapport.ps b/rapport.ps
index b2ddf5004d5212139827a3681b9868d6d05c7f1e..3036984a483fa6e400f1f3c23b18ff533c6699f5 100644 (file)
--- a/rapport.ps
+++ b/rapport.ps
@@ -1,19 +1,18 @@
 %!PS-Adobe-2.0
 %!PS-Adobe-2.0

-%%Creator: dvips(k) 5.98 Copyright 2009 Radical Eye Software
+%%Creator: dvips(k) 5.991 Copyright 2011 Radical Eye Software

 %%Title: rapport.dvi
 %%Title: rapport.dvi

-%%CreationDate: Mon Oct 31 11:46:12 2011
+%%CreationDate: Mon Oct 31 15:26:55 2011

 %%Pages: 9
 %%PageOrder: Ascend
 %%BoundingBox: 0 0 596 842
 %%Pages: 9
 %%PageOrder: Ascend
 %%BoundingBox: 0 0 596 842

-%%DocumentFonts: CMR17 CMR12 CMBX10 CMBX12 CMR10 CMMI10 CMR8 CMSY10
-%%+ CMMI8 CMSY8 CMEX10 CMMI6 CMSY6 CMR6 CMEX8 CMTI10 CMBX8 CMTI8 CMSS12
-%%+ CMMI12
+%%DocumentFonts: CMR17 CMR12 CMBX12 CMMI12 CMR8 CMSY10 CMMI8 CMSY8
+%%+ CMEX10 CMMI6 CMSY6 CMR6 CMTI12 CMBX8 CMTI8 SFRM0800 CMSS12

 %%DocumentPaperSizes: a4
 %%EndComments
 %DVIPSWebPage: (www.radicaleye.com)
 %DVIPSCommandLine: dvips rapport.dvi
 %DVIPSParameters: dpi=600
 %%DocumentPaperSizes: a4
 %%EndComments
 %DVIPSWebPage: (www.radicaleye.com)
 %DVIPSCommandLine: dvips rapport.dvi
 %DVIPSParameters: dpi=600

-%DVIPSSource:  TeX output 2011.10.31:1146
+%DVIPSSource:  TeX output 2011.10.31:1526

 %%BeginProcSet: tex.pro 0 0
 %!
 /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
 %%BeginProcSet: tex.pro 0 0
 %!
 /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S


@@ -45,19 +44,299 @@ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{
 userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N
 userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N

-/p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{
-/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)
-(LaserWriter 16/600)]{A length product length le{A length product exch 0
-exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse
-end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask
-grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot}
-imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round
-exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto
-fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p
-delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M}
-B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{
-p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S
-rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end
+/dir 0 def/dyy{/dir 0 def}B/dyt{/dir 1 def}B/dty{/dir 2 def}B/dtt{/dir 3
+def}B/p{dir 2 eq{-90 rotate show 90 rotate}{dir 3 eq{-90 rotate show 90
+rotate}{show}ifelse}ifelse}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0
+N/Ry 0 N/V{}B/RV/v{/Ry X/Rx X V}B statusdict begin/product where{pop
+false[(Display)(NeXT)(LaserWriter 16/600)]{A length product length le{A
+length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}
+forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{
+BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat
+{BDot}imagemask grestore}}ifelse B/QV{gsave newpath transform round exch
+round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0
+rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B
+/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}
+B/g{0 M}B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p
+-3 w}B/n{p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{
+0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end
+
+%%EndProcSet
+%%BeginProcSet: cm-super-ts1.enc 0 0
+% This file is generated from `TS1uni.map' and `glyphlist.txt', `gl-other.txt'
+/TS1Encoding [
+% 0x00
+/Grave
+/Acute
+/Circumflex % ?
+/Tilde % ?
+/Dieresis
+/Hungarumlaut
+/Ring % ?
+/Caron
+/Breve % ?
+/Macron
+/Dotaccent % ?
+/cedilla
+/ogonek
+/quotesinglbase.ts1
+/.notdef
+/.notdef
+% 0x10
+/.notdef
+/.notdef
+/quotedblbase.ts1
+/.notdef
+/.notdef
+/twelveudash % ?
+/threequartersemdash
+/afii61664.cap % ?
+/arrowleft
+/arrowright
+/tieaccentlowercase % ?
+/tieaccentcapital % ?
+/tieaccentlowercase.new % ?
+/tieaccentcapital.new % ?
+/.notdef
+/afii61664.asc % ?
+% 0x20
+/uni2422
+/.notdef
+/.notdef
+/.notdef
+/dollar
+/.notdef
+/.notdef
+/quotesingle
+/.notdef
+/.notdef
+/asteriskmath
+/.notdef
+/comma
+/hyphendbl % ?
+/period
+/fraction
+% 0x30
+/zerooldstyle
+/oneoldstyle
+/twooldstyle
+/threeoldstyle
+/fouroldstyle
+/fiveoldstyle
+/sixoldstyle
+/sevenoldstyle
+/eightoldstyle
+/nineoldstyle
+/.notdef
+/.notdef
+/angleleft
+/minus
+/angleright
+/.notdef
+% 0x40
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/uni2127
+/.notdef
+/circle
+% 0x50
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/Omega
+/.notdef
+/.notdef
+/.notdef
+/uni301A
+/.notdef
+/uni301B
+/arrowup
+/arrowdown
+% 0x60
+/grave.ts1
+/.notdef
+/born % ?
+/divorced % ?
+/died % ?
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/leaf % ?
+/married % ?
+/musicalnote
+/.notdef
+% 0x70
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/tildelow % ?
+/hyphendbl.alt % ?
+% 0x80
+/breve.ts1
+/caron.ts1
+/hungarumlaut.ts1
+/dblgrave.ts1
+/dagger
+/daggerdbl
+/uni2016
+/perthousand
+/bullet
+/uni2103
+/dollaroldstyle
+/centoldstyle
+/florin
+/colonmonetary
+/uni20A9
+/uni20A6
+% 0x90
+/guarani % ?
+/peso % ?
+/lira
+/recipe % ?
+/uni203D
+/gnaborretni % ?
+/dong
+/trademark
+/uni2031
+/paragraph.alt % ?
+/uni0E3F
+/afii61352
+/discount % ?
+/estimated
+/openbullet
+/uni2120
+% 0xA0
+/uni2045
+/uni2046
+/cent
+/sterling
+/currency
+/yen
+/brokenbar
+/section
+/dieresis.ts1
+/copyright
+/ordfeminine
+/copyleft % ?
+/logicalnot
+/uni2117
+/registered
+/macron.ts1
+% 0xB0
+/degree
+/plusminus
+/twosuperior
+/threesuperior
+/acute.ts1
+/mu
+/paragraph
+/periodcentered
+/uni203B
+/onesuperior
+/ordmasculine
+/radical
+/onequarter
+/onehalf
+/threequarters
+/Euro % or /Euro.alt
+% 0xC0
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+% 0xD0
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/multiply
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+% 0xE0
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+% 0xF0
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/divide
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+/.notdef
+] def

 
 %%EndProcSet
 %%BeginProcSet: texps.pro 0 0
 
 %%EndProcSet
 %%BeginProcSet: texps.pro 0 0


@@ -185,34 +464,34 @@ setcmykcolor}DC/Gray{0 0 0 0.50 setcmykcolor}DC/Black{0 0 0 1
 setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end
 
 %%EndProcSet
 setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end
 
 %%EndProcSet

-%%BeginFont: CMBX12
-%!PS-AdobeFont-1.0: CMBX12 003.002
-%%Title: CMBX12
+%%BeginFont: CMSS12
+%!PS-AdobeFont-1.0: CMSS12 003.002
+%%Title: CMSS12

 %Version: 003.002
 %%CreationDate: Mon Jul 13 16:17:00 2009
 %%Creator: David M. Jones
 %Copyright: Copyright (c) 1997, 2009 American Mathematical Society
 %Version: 003.002
 %%CreationDate: Mon Jul 13 16:17:00 2009
 %%Creator: David M. Jones
 %Copyright: Copyright (c) 1997, 2009 American Mathematical Society

-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMBX12.
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMSS12.

 % This Font Software is licensed under the SIL Open Font License, Version 1.1.
 % This license is in the accompanying file OFL.txt, and is also
 % available with a FAQ at: http://scripts.sil.org/OFL.
 %%EndComments
 % This Font Software is licensed under the SIL Open Font License, Version 1.1.
 % This license is in the accompanying file OFL.txt, and is also
 % available with a FAQ at: http://scripts.sil.org/OFL.
 %%EndComments

-FontDirectory/CMBX12 known{/CMBX12 findfont dup/UniqueID known{dup
-/UniqueID get 5000769 eq exch/FontType get 1 eq and}{pop false}ifelse
+FontDirectory/CMSS12 known{/CMSS12 findfont dup/UniqueID known{dup
+/UniqueID get 5000804 eq exch/FontType get 1 eq and}{pop false}ifelse

 {save true}{false}ifelse}{false}ifelse
 11 dict begin
 /FontType 1 def
 /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
 {save true}{false}ifelse}{false}ifelse
 11 dict begin
 /FontType 1 def
 /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def

-/FontName /CMBX12 def
-/FontBBox {-53 -251 1139 750 }readonly def
-/UniqueID 5000769 def
+/FontName /CMSS12 def
+/FontBBox {-62 -251 978 758 }readonly def
+/UniqueID 5000804 def

 /PaintType 0 def
 /FontInfo 9 dict dup begin
 /version (003.002) readonly def
 /PaintType 0 def
 /FontInfo 9 dict dup begin
 /version (003.002) readonly def

-/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMBX12.) readonly def
-/FullName (CMBX12) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMSS12.) readonly def
+/FullName (CMSS12) readonly def

 /FamilyName (Computer Modern) readonly def
 /FamilyName (Computer Modern) readonly def

-/Weight (Bold) readonly def
+/Weight (Medium) readonly def

 /ItalicAngle 0 def
 /isFixedPitch false def
 /UnderlinePosition -100 def
 /ItalicAngle 0 def
 /isFixedPitch false def
 /UnderlinePosition -100 def


@@ -220,660 +499,36 @@ FontDirectory/CMBX12 known{/CMBX12 findfont dup/UniqueID known{dup
 end readonly def
 /Encoding 256 array
 0 1 255 {1 index exch /.notdef put} for
 end readonly def
 /Encoding 256 array
 0 1 255 {1 index exch /.notdef put} for

-dup 12 /fi put
-dup 41 /parenright put
-dup 49 /one put
+dup 44 /comma put
+dup 46 /period put
+dup 48 /zero put

 dup 50 /two put
 dup 50 /two put

-dup 67 /C put
-dup 80 /P put
+dup 53 /five put
+dup 55 /seven put
+dup 65 /A put
+dup 82 /R put
+dup 83 /S put

 dup 97 /a put
 dup 98 /b put
 dup 97 /a put
 dup 98 /b put

-dup 99 /c put

 dup 100 /d put
 dup 101 /e put
 dup 100 /d put
 dup 101 /e put

+dup 102 /f put
+dup 103 /g put
+dup 104 /h put

 dup 105 /i put
 dup 105 /i put

+dup 106 /j put

 dup 108 /l put
 dup 109 /m put
 dup 110 /n put
 dup 111 /o put
 dup 108 /l put
 dup 109 /m put
 dup 110 /n put
 dup 111 /o put

+dup 112 /p put

 dup 114 /r put
 dup 115 /s put
 dup 116 /t put
 dup 114 /r put
 dup 115 /s put
 dup 116 /t put

+dup 117 /u put

 dup 118 /v put
 dup 118 /v put

-readonly def
-currentdict end
-currentfile eexec
-D9D66F633B846AB284BCF8B0411B772DE5CE3DD325E55798292D7BD972BD75FA
-0E079529AF9C82DF72F64195C9C210DCE34528F540DA1FFD7BEBB9B40787BA93
-51BBFB7CFC5F9152D1E5BB0AD8D016C6CFA4EB41B3C51D091C2D5440E67CFD71
-7C56816B03B901BF4A25A07175380E50A213F877C44778B3C5AADBCC86D6E551
-E6AF364B0BFCAAD22D8D558C5C81A7D425A1629DD5182206742D1D082A12F078
-0FD4F5F6D3129FCFFF1F4A912B0A7DEC8D33A57B5AE0328EF9D57ADDAC543273
-C01924195A181D03F5054A93B71E5065F8D92FE23794D2D43A151FEE81296FBE
-0CF37DF6A338C826464BA5198991445EC4BE80971DB687336AE8F74B516E333D
-2D8AB74D362C559AAE6ACFAE49AEEF4F52E28C869222C1301D041E7A0BC1B608
-1BF728EF9E98F3A12EB2714E7F16B14E055FE1FA0EEFB058860ACADEDA9D0E4C
-42E3C6F1E4869471BFAA3760175F3FBD842755A9D7847EBF605F18293B42F557
-FBE2715002669091BB033E1AAD657532F34F7C66E4F04D63ABB07E6CB9D9AEAE
-78EDE8B79DD9BC87A1FF445EAA05B5572BB880E69F4DE1F82D7F0E9980AB0C18
-22C448B0B1722D3CC33C56FF287CECB80658B3AF5E7675BE82CEFF3DAD5942EE
-A03C955FF979E41E54BCFB5316A9AB8945C403A73180D0961416EC9C92F49811
-4B91BC4C788392994587517718521E416D469F69952149FF7F9224377EBA1065
-4A727BF806A112A7B45B0A1BA1D5A23683960575368D9EAC8C04753BF7465AF7
-95F25C258C63E4FDFFD0B412FD381946AA38C0B961652BCEC30322C47BF4755D
-9F91880688AF066E32FFB22E1A52DE741307AD3ED830D6BAA1D1F562919666DC
-5E8FD9862AC8600B0AE0BC7FC779252AAC57248744ACC8A8AAFA836BCF09B0DF
-9253DFBB1CB77EA8A59D42D1B18FF25E9AED72FA62FEC3F126F030F5D7DED9C3
-CF60FE890BA4A48E39E687BFFAEAB96AE542A6387F6624486037C8924002A511
-BEE5FBFD780AC1D4BEC3FBC47A930BAD0280D444259528B6C565DE11DE36BB65
-9BADC55C1EDA1A80458E98896D782DFB5C137897419602809F9BF8CA39F00C68
-EFB9E076FB324C2963F23CBFED28B9EF70EAA4E4B903225D1F199A7162AB239A
-D92D71C18B1B682D04C6A48926275BCB16D413B2A0E953E1257E0B12D8B717CE
-2EC84CFBC046A4338A69F454A469B12118E562B4F56C5FFB3CA5D357513E6FFE
-947A564B229C7FD873057D5C7CDF03E958294A1003B37D8DF565A70A00A3734B
-0138AE5277D383D10C2BD853EF806D3CCDC47739F0E374A3DF3B63638B949ED6
-4EC25869DC1C0B1F4DBDFFCC97382841D8F10F3635C792139A1EC462FDBA379C
-BE0990CA2E70FE73137AFBBF30CA54954D7E7377CC50BDD780DDD4C7FDC77AD2
-F3EB1169F14A0041F18160F43C24FAF556DB5D621709FBC544CE55424F7446D4
-6AC07A51C8CD5161AB0AD5084A96FB35D77F1CA155147DEF8D7A590EA6939514
-D4A226588295CE0007BA8A550895511C8D80BBE5CDFB8A50D249C3BDCA974415
-F5557914A9B805782F399E4078DDB6264F1A49A9A5BA45E284A5196E9828EBA8
-481D357B8D9E6ECA631A6204439FDFACE7D7E6A2392726107CB7D2517CD19A24
-FBE592C119626DB221BBB635B6EB84845C16A9585282E34958B961F4A543AF9D
-419B6A9105BF185FC767712D923437BE08A9C0EB92AB6792DBDC671029B6FCA6
-7F717FCE379C0F3B51C6CF042A762ED04898FBB4B0105C3C4ADDDC18C51BAA3B
-70A93666669547081D9246732CFF74C83EE90DA17F5B4F8BAF47FE4D81590988
-2858C9B96071341FA0A0D23BDD4947FC9BC2297913CFBD4FD6CA4303AB3179AE
-0203F1BD502065F90CE9BEA3B52DAFE4A29446082EA0E6B1D7AF1F31D0AD02CC
-9A7FACE2CA86E5FE0F6A425B28A5940ECA306891CECDB3CFC7A5BBC76B5D9E8A
-C754379ADE80B4D72CE493010317BF21A0CF4A0A55C1246218839DCA3F4D626D
-1F4161D38F54AD5142C1CEE95C61D8BB10FAD4B772F4955777AFDE8AE5A837C2
-A2BBB11D0BF5DA2E63D0B75ED421DBA9C789B281B01846B65DC572BA69591969
-21265DB722AE86BD8CAA3D887C975A617ACEDDFB7AAB341F47532AC0F354A530
-7662C089DA3939588774FFA16FC4A52555DED6D6F51DE718BF5F345C23C90198
-17B77CB8B5D53A5CE7A79F3E286B6A59F3F6178AC8BF15C0A15C1A8A95D03B60
-30EBE53DE328CE085CD9A1D49C69AA299C5B58B24334A546F6E274C1B534DC8F
-3289553F560C2F81E413ADB92FA0E7DD1C2F39D5FD268EBA97AB7335ECF28257
-96B4EADB7D0778706CB41C7E9C882760E7670936774A1088FFB2011115FDADB3
-B69EBD5108760762521C25C968C3E282DC3400001AC8FB1EA27FF643E3025950
-1D617BB8BB321281708E496277E11DD3AE0023DA9F25AD06B39C7CF527FED27B
-57397E88D3DF70EE4FCCEFC8A0927D6B05517E571B3E70ECC99F3CBA32CCD4DE
-B8BF22626B6C94FE65598A88AB90D238461EBD9A098DADEA4091AF1CDD7560EC
-8E1B9BC2321686E1759E6B8A270C8CB4A254F7368039602EAEAB86ED21CDED91
-8F2DB9889F46981C494C7EAF5E819B91C129F0740B8002B510014985E5791F59
-B16879CC6521D8E9F1C4C1890AC85A78022BE614BEFF318AB2616F0C3F02405E
-BB425D1555472A2642BA7686E431DC3FB8A1688B76660D9957C3FDE8D58109AC
-21B1234C9DDF3F0FAF93BCF7B2F88A001F23162E1A13E5E9118D51B485B70A91
-D0CBC39CF44413FD8686D9030782DAB58064F5B987E0402AF5B264B17BD31BD4
-FDF63951BECD73ACA6138854EF35B062D01F33073850D9C09A818828C581241F
-A625AB3638081DD0F00F946BE5450D38489CECEA4E66B4D85CC8AE0157E2AEE4
-A22A9313829F24D573101D84CC1784D1CED7DFAD5DD966601370C6CCBB723082
-A86BBAF0A5D867D0D2E3CA16E14E5109A29EF02649C47E12E88B3B397D65CACA
-DEB9940B92100744D686066F8250FF30E5F13D81428EE238A2E4E07ACE0F5C38
-7D79D4A336D0D26AF9C2B84088ED8ECDF94A1E3FADB45AFDAB46CAD6FF950B0F
-07AA2CDF82374DA76C56D29C80138841EB13F0D02ADD32F88B23E282ECC845F9
-BB9AAECE9CDC644AC2D49577A92307A83A99434F6493156DF25DBF0FCF2EC21E
-8C50A312C3D19E0609C0038554CF4FEF3ACEB7A833FD54B06EF0D617C2971C89
-E4C06075B09B84A4F78A82152B9A9C540B1D881313C2C74F20ED064A9606EC2C
-B56D7BB4797F1EEF4A9B13579CCF311FA4A4DFA62D80FDB7F535CC6526D1AAE5
-45C008EAF024B48C377522F74D939A475970533E645B1BFA81997549AFF26F67
-2AAE6C2EFA357DB3B525276EF330905688777057F4E4CBF584520A534A8587E5
-5A8360891E75A15205E8ADAC4A4E5A6E27D0C4A7D492216E4BC023AB027F37AF
-A8DC7579BA50204D5F45A51460C5BD8A5A7F87668CA6451137F2F59E117BBE28
-5C40820882A5546FA76F0CF49F8A6EC445F0647CC3227C400F56E7E9B84A6975
-E85E243CC1666DBAFF4E07EEAF3AF71BDACB30DAEA792F2B8504CAB071544F01
-5D66243D529C479D276FE22F7E275D9E7FA9C6EECA18716B2F213916E32C1D94
-6E32397B41AC6779543218E506569E3544803BBF9B404A983EBA62A494187B30
-8D3DFA4E1237A2E5E08224A60492C09ADAD8775B7CDB830520829BA164209ACB
-BCDEB2D574CEBFB7AE4BE72DF4EB1945FEF2458761AD8DCC0D378AEB7DA002C6
-9C14A665DAAA532B0ABA98D7BFB5A6151FF6703385AF7AE8FD315A492FCCDBCB
-B825707F9566B3B4943A3C61C3DEFDC31A843A2D67AB06891F3E110DD8C73D3B
-B5E4151B51D9F13905D7D94DB9ABBFCAF35F43B6EEE256B1A80ED6D1739D8D5E
-8C767F6F0E8704C5345D028A2A6DAFD9BB7AA048B8B895FE9423A7ACE858BADD
-595CB074A128DAFE08FDFFD6BDAC0114159A702FDCBF8013804B0CAEAD7AF38E
-FAF086A3248AD4FCA1401A85AE2F72E3E6956DC0996FE8ADB18F89B14A208A15
-13F81AF73D0DB72F78C4DA634ADE3C73756CAE6AF2E149C26316DFD93370BE1A
-FB4A79F77A67C07CB0A53C78367F21661D4AFE9E27328E077B522B50FD9AE2E3
-DA087BE481515B5DD7BF894A96A84A6C78874100505B7DDE1D22EFCE8D58B3AB
-313AB5495F72E2CA4E6AE22C0CB854302B9990372F1661D9F0A517F90686F248
-C5643008B3D29F7296E5C8FD4049886662EFDD4106E17C879F5D41CE84F87E89
-F6A3117C968B95A35940CC29C43E1E0DEF51C1E46B676301F40D59615C3F73DD
-DE37B72FF7105DB84227DA5241583272AB1C3CD97AE11C1EE98FFDB5E5F44844
-8FC41BEA5C54B26341AFF6830D9D0A5A2901B0653D8BD0746838194D240FF753
-E99750D3383373F453723D86BE97B571B8B84D8696089B5CFDD53E6C562A2197
-A8C4FB0CC690C27761A816B441029D3D306245052E0C41B53025D8CB7267CFE3
-C17FDFE348E765326F91AEB700CC49162DF748171214252CBC821493DD01AA20
-417D66DF47EBEFFF3E9BB2B0A2BE7D9B8C68BD570FC2EB0FA54CECC318F04C43
-19598BDE93F2F13DC7847354C99059AB20593EE51E94F9D4E9241869D605AAF4
-9D9B5FD88C3798A039A67993C5EC68B6326B132E647F67EACCA7F7AE7F718D85
-12666E90D7C73EF210E344964A38228B236679A2B18F5E081234CAA2458F8D83
-3F0CA308D19663CB12EB904076EF88E556407C33C9380A6A3D68A9EFE65387C1
-A1BCD2D26DFD2AC0881EC30E81C0A4E76C244A2BD822EE88C4A60B480D107E68
-90E419A1F512E865BA922A7830909BC2611A80931CB2E9344529586726614D94
-3AC5200FB9FF68AD9686506C5EFA8788C0AD0251AFE7F95E84683380CDB421C5
-B1A783B6D5F3A6BD1BC1C14B363DB01C87C0796DCDD5BECF41A1A9F43183CF6B
-82C2AE49F0BFDC5DEF7729F2E638EE6EA9E4D059EB9BB1B992AD8C82D501A550
-1BF73CBBFE740179B54E193E84A55DCD61B343C1852780FFB44248FC9426AC94
-AA2B3FE20FBA30F6C4D1E0FF3EDCDD8C0F57CCB50CDB0EFE2E04A8927E239C1D
-9B026C7929BB48461D4D695FFC766C8A0E545B1BCC2AA068D1865333108E7985
-2D93F9B00EA0A90939D0D3840D59B6CC0CE2C147B2E1A9A4F14270FE3ACF51D5
-99F7349106165AD627CBBB0ABA01ECC6D3A14C1DC1ED23A9DB9865BB4396C51A
-31ECD001EAC94B33C34E29C5611148EF3E55DD61813470B8F3CE32564C749414
-3C93C77EA5A3538A0B5AE3FC4DA32813B06772E0E48E25BB39F3F6FDCC077E86
-F86FA50E18FD19EB2F37311CE87F18F3BC85CE7FD71CA92D5C3264E34E04A2E5
-70C79D99F54D6C6D9D527AE45EBB48411221134587D2253E7C8ED7658EDCA34E
-5E768DD14E0200470F73C44D006CE8CB35DE1CA3EC10ADC668B0662A7774C891
-84EC95A31DD872F0728D9F65CA80940080E04630BE4DEC77A2C49E3913C39978
-BF145F8832AF2C4385EBCDB15F9D32C22CBA0CF950877717D6F1591D7C0B8047
-8C9BFCB16AF7124ED83137695F3D69228DB633053208C29E0ABA1B06A7FB3EE7
-5625CB44927E2DA6E038A6E62DEBDA2D96A03177982D8FA33BAAF4426E05F4B7
-9C1748B3FF7691F9888E7FF864A10B9DF761A41E6B5CFAD2BDD7E1C4924AC97B
-F4B352705316DD1A58637CC12D71C18A5CA691AB2AA8F171590EC24582B1123E
-94D4DC587D8F99E18A711776BF4013C96446BFECFEE4C809EA94B169088024DE
-0CBD20199A915AA406F0BD5F3D63D1467C49B4691AEBBB35ED6624F2D7BB74BC
-E80FD92B9FD04DD9C2BE9B6FD29EC7EC07FAB447511C61DD299C783BC09AE2A4
-7B3CBCA6A20C6631D06D0B2E2482A50612BB7C29B7E7D0A205EB0E8436702581
-596BC996ABD58CD8D5BAAE4B1478195CAFF98FE0141287296C4EFB8D2E7A8442
-F0A3AA9F9264329982532295A176BA1867EF732BBAC49AF485D9D0F7130F617E
-7F7DEEF935874D55A22240F8EDE4F247D5F73481373A392D40A8076BD91079E1
-1CE5998BA13D48D56B49A92B4A18430E316405D2E2E391B496A1934671FF1785
-AF42BA3B2D14B8E04014437FD194455C50289DFBA61B5C377BCBDADA48E82DEE
-4E70EF5E9DC03064907BCB8BE4D59DE069FB0C0CB140DA54708E630767313F9F
-744594AD8A499CFEF733E640A11FD74E46A749F9C7D18D49251BF85C6EB4668D
-67598C31A8F90922FEAEAD4B83B6E7184567DC798E4BA1C4C9B3461A478D63CA
-054F13B502DACB674EB49D6BB935E5EC82BF99FDA7D47C581AD7F940DF4FC6FA
-6C6D25D647033AC69505F0CAC58DE99087F365531A6283CB89CB644688963C3B
-8B2203A94294E58739EF23C7803630A1F9121D62BE1977DE2F41687C8CAF87FE
-CBD7AD3B98E0D95C8C6E1A7CCB0E09465AA874DC90A0F5DB2C5E7C130297FD39
-EFE63B0350B5139D09E6864D22C3F1150B29196E40EEF9723E71158B7ECFB8E4
-C426FEDCD439420B7F1C251FADA347C9A2C49738B5A17922E1EA93CA7B125B76
-57449EAA9C1D591CAD327D0E98EF2D44D614EE9ED49DD31ACAC0B956620B6BA5
-5BF6D08CA7541059D5ED2EF00AE2EE95488F5645BF6837D9241C0D3959B7580F
-C9ECB2BCF3E65C07D52EC9CFB21C11CD4C883E44C173214C900C44D2E1E43DD1
-CE8DFE3DA93C38B548BC4EC46FF91F30CFB97525E1FD4E77686433B20BABF8D2
-848C1CDF1BCF185CFD7A81D2D4BB826E837E2AF35CFC4F419F698DB0C43E9F9C
-B0FB628AC9A3CBE9B1FF4A067016E70333E78B32AB2D89C483834B31F5808FDB
-77492E099F1504DABCA5722C7860CDCEDB2DDEB512FFCC7D287F4945FD711F28
-87BC3D36173566B81FC2C1290C717A09697DAC6072408E20926D39270121CE58
-3EF97CE12EDD7F87F2C8CFE36C3C0400869C0D813B71C425343EE0CDF717BDD8
-409D5297D0F8F7FDEB0257C0A391F5635E0DB1116058942FF3E7C94D5F2873A7
-A3B0ADAFC3835AF2BE474E6741319BC6695FB37F59AEE388F81F6E66F910000B
-72E6BA7531B4378CEFEEDC79CCF4947BA1703823B5AB4F4AD73D9615C66C489D
-99D68E49C9BF765B7FC547BAB9640D51D5A7A2396507AB5A4DFF3D14F52422CD
-8FCFEAA06A56C6C7FFCD29C9A7A59DDD2A909A9363FE5F1E9629616D25ED38CB
-E754C059E4379318CC491C3B1A90128693AC53F80F8210FAEA7EE638902A7D3C
-82B95B3F5AE340EC1B648DBB9FB679D6E80B7F426D8671FE7136D97F51E2D2F3
-C9CE9183E4061CA40091A2A70DBB9ECBB19CE3F65ADD0FB346B54BAB182E2CD0
-EAF4C0F402C25573FB344EA771B297BEB615FCD0595172E84ED2A62FF8962634
-23C19076C2A9ECEED5135994EB397303A9619C76DC55E032DA83FBA441BD484A
-59F70A5110A8927F6239A14D4E223E189A5462E4A92EAEFFA4B961A2A32B320F
-C2B4E8C1821FA67A655B5042C15E4DE1FB3652B55078DB123573C4E986B19DB0
-1C5131F3DFAB271C30A5476B4A19D8FC922E31879C34BAED94C07A4841B8209C
-403369FB8E842610D1EB4662B6171A4465FD0E819964F62EC5B0ADC92F08CF90
-1DE0B410FFBAD16F6D355E8AD72CCF67961EDB6CDA82398021007C2D0462E893
-75EB0710AE4A6CDD15077C9DEFC5774EF4A657734D703CE42174259B58E5277E
-0DF26BF59AF8D1A3E7DC12E3C12AA4B67CF35B19962F6950C2020B698D971B35
-82FF84E72F72FBB0C54A112BADBAE6C4CAA358BDE6A705AB59332C3850CA3D25
-C7564499BC1319121CE0D93218210C68080AFF33420E3CB3A48BF9EB66BC07C8
-A79D8CD8E78C200FF7CFA3DAED0B9E87E6141C88B436D8FCBA50AC195FCBB9BC
-9512B95FE3A37FFAAB39850FCEBD4D50A243EA416E73F53B4B00F3B6EAE0CA06
-0693AAE0FFD5C119D11E5D13743E28D843B0F2EE315A2ED05A510CE53A2D06A7
-0C076D4B6BC2B6A928553E7F0FD472760167DB486A777259FA74245EE37D0125
-47314DEE4B29E5D22180BDB1BDA7D33406FD340DC3991F50800BDC90F7678EF1
-1064986DDA53A77FBE2EDD38E20C41EF86CD50E8EC167344A3F3B3C3BD83CD80
-87BE64CAB701C3003E4A68C9D8D4DF74A8A42A32D1DBBB4C105AE1439B0771D3
-74E6450E260A19C6A6B922E2205EE8CCB077D3D8DD9058917C05F74F4C14DB90
-980F678F6DD26B53006D8FEB211118AE0F3EEC574255BE788089AAD33C084236
-843498E2C63C73E291D077D67C0FE7BC7C56E7C222E882992D0801805B036CB3
-D0208C9CD75A0618569A8F1008DE49D48CF5C69200A711CAF9E27775E8D90384
-2388C682D386C02764D62DC648BB39B33FBED2E88BE00E9A503CA9BC0B990432
-10CFE1C41078D2CC368DEED36472D16EF2FF176A86FB6167066F63022D3C1175
-743748A53BE347584057B2566247973AA9EB9ECE2372DD0FD8512004768BDCCB
-CB27760089DA00D14A7632EBDB2ABD834F9403EF7D0EC7A53AAF8F48E1438450
-A007FC3B61B6996A2119CC79C1D6645A9C7DB42FDD524BA669B1764AFBF6D0E8
-65BB1A72A50490BC365F16EB42177AB044591DC6451C64A6BDE7E571E4337AB8
-E602AAD9FACD657A4B707773D2C92A637E5142F808DA5A22BED4A5F44C4DE074
-18D7E7235F363166217AF16AF67C46945824861D06C32115DDFA5BE2B3D629C4
-B5F4929CA3604984442B64F115B8DC84694BF41E0336BAA26F57A6AAE4ABC210
-7E559BEF8826E88E37CDFD8D0513DAD7DBB2D3577305E05345370C0E2D1AFA87
-FF2DE4F0EAE2F1C14F76284B1C405927C1341C01F94F62F834B3B57AFB03EBC5
-168A232ED07CF5FAD2DCEB90A4CC7C7E2BC4C0AE627C2B50B28B56C2E54CCE34
-C802D540FBB42326EB415535DA5CBC56C283CBC6B6AFF801E5423ABBBE0D5E2B
-6CE4D7979FB8F129D04E810445F2A2FC426CE2A3A9A2C6841D9AAC3EB6D2A8D7
-0596B6A34D9D9AB8CB8BE377636092DF00BF1DEA74EB9671DE268EF3BDFCB4B4
-38DBA6102DF145BE7ED8A8668CF4C2EBD9BBB4A102EBD49269963FF3D21DD134
-8D80B3239A783017000A365CF9A5701355AC0DAD0F3B0AF376EDED1D123F306F
-E2942014DE5DE94DEBD07C12373E09D809029131A9C0F5274642E72657285D3A
-A753D42A62891A2ACE0321AD8730CBF0EB7ADC49C07CE527CD6E783499379477
-0AA707E6BEBD44E16916B5D4D66F684077F4BF42F5D422554E6D65BFB15563AA
-77A7F461C513CF6CBADEE65F397719C3CB07A8E5E2EE0A2BC88555FDE74F30C4
-D30823FB8F59737C850A474718BDEB5B0B6CE27BD1A2AC7A467F29325E187A05
-9DEDBFEEDB8FDDE5D9358210F9176E1565B3C519F4F44D2AAF93352F6DCE65A3
-13102AB13C35F5670C3D0F3228B1C69FA083AE43662812AE467D6071BEA80AA7
-F2B0B54384E9BB61A9B4F06C905CB35050F01E192AFF6014B812A8FBAA5B378C
-D3BF9682CB0883E49DAFC3ED7F2BE43D69BD2BC50893F3C0B6410377C8614F41
-19EA15E8DD629A3C7A726F3CE25D86270F31C0F4264C671816146FDFBD9A4CA6
-7600238B4EDC669BE3417956EC7066F0397C78ABD1F093D804A50F4B8C4467A5
-355DBC3218626C0A9215156EE881AFFFE3266B28F7CBE352421FB1F5D0E10C25
-7D3999125F9D1463C7305FCBFB6B3BCC81AD744FFE2C1B4512ECE18A33EA2C80
-0470AD314FCE13FA3BB705942BCE434D13BCBDD5E12C011C45FC6D03667AD1D5
-B5B21134D3B9677D8C175AA623EB49ABA50E962103328B8C7FB8EA1F650D3064
-B97E5EF34B3365DCC766B45C9AA912FD0F0CE783E6C3DFB3E3075D74514FB73F
-242077CE40EE91381F32FA70AD7AB2B9C7C6B1E4AE1A298402883A616700010B
-4A26E9792C8F1FD4050E5BCD8933A40BD9B1470560047341262C5EAC2366B521
-376D8975D127D0C6F17EFC826C34399F3002663B6AA8EA8B0C676ED5DC820F1C
-38C0EFE88FDC3F57D2D593E520CEF18D77C934CA65FF1E702E2379A96159F348
-C4299AA1424D53801D65FD01885DE90F355BAEBBF2C321BAE8E97DB0BFEECFEF
-E2313F1A38DA2571D06F489A1A53764925FC8A445ACFA0634B844F3D796ABEC6
-390C9A1C4A6F501BAAA4654C58DBB46306DE300BDDB1E12EC8C2A2F705615D31
-7D492164C7D508F68FB6AE65836039705F27868CFCC802951323E635DE9D50FE
-D711547C5D61EB96E2D9DF62124BAC88A9B122AC9F82C4D346E648CE239DFE61
-BDBBDB583086E57188C7260BAD6F91EB422F994839B0872B9B32762EBF360B0E
-1F8920798FAFBD5F1A0888EA779734D1738FEBC0BF45CFB5C0CE6C29CF56CEB0
-CEF766DB17E0BDE837374B404AFDF4D4A211671F433C175028A99F84EA4701E4
-B5A1EC76D9F6DDAD37B3F047BFB82C714C8835613FDC5712B3E8D4CA64EDBD91
-8D84E4088802D132742752D13987D27048399D011A3CEF9F992F1AB41AEEEC67
-E114A67C4B2153A63691A485B6B6BB44EC87737342D5AF098AD0BB9DDD018820
-532F865FE2AECBD5003C6AA463D45E9D18174CEBC861A48CB44FA1DD16408ED1
-12200960B586ABEA75FCD9654ACB308AAEE24253E6DAAF32E65D414F33F2687E
-035049F1524BAEB3CD756125DEF50613FFF7781036B894D222B39A08C278556D
-AD0A11B9E491CCA6322C3122EC009677A983AC7A9C9BE368AEC6A84C7B766521
-DCFCD17027F172A62F2C5C00106D2B4A7D6495FD3D21C3804A7ACC9B827E3232
-8B2C6F530DAE7FE8C17CE8BBF6E0112AA066873464594EBF58A00FD910A9359B
-2758064A305B42863BE2AE8F4C483EC31A19F3C4A756C2AD12EB8B2CDA4619C4
-1CAC97AA2CD9241C41BB27B55F4041FC677ECCBADC0BA7A6150BBEBB482149A0
-80D55970FE10E6C3DAC01E95A25068A8385824ED9396E106493A32F7EE60A5CC
-BBBA0E890BC0425AEAF1FB5AC11C8BC5E92DAB08DFF470979970297321EDFA01
-4F7BC3D84161D3458137311B32A534255EE379507FEBE2D3805D88C26545C81D
-02C70F3451D140FC7AC266221BE64E917E93F1CD662F22598C9FAC1C2A104665
-85613EA56A9B5D9872A1A9B7DCCCE6F6E38391376CB5A41CC4347741AF4786A2
-C092426A2403B264503E5EDE3496C704EF4D8887D8A4967FB07BBC4570193E14
-1D51CAB82B5828D67E17C0BB4225D06FC6119A17C54B476A33D7C94488B39FEA
-D834A37211F409D750F96B5477B6B5D382AA10E51CEC1DE0FE496DA440BEC081
-5337F00E0E7BF3F04A10DBC19D688F9F96E9E7C2BAB3F1B1E1F039823396CF36
-197ED465E2F529851443A30BD9DF4627298013043E09842F90DBFE8796891800
-B1AB7FED5508CB0728570404B03736BD9982A194547C50BBA5E7C72E8E013A3B
-A71FFDBCE6C3ECC3575A988C9D2B65C018843F9E8DEC85CC8B656047145A4060
-FB36F0CBFBCBEF20912DE40FF7EBAFF684273B023894327DB659F524CCB730CB
-5B437CD8EAF585D5255E76E506692812BF3E16555B69C4346182C9E3035B0FAA
-3648AF90AB7251C432D7CDD3FB2D35A21D9C4E711BEE21C4FB92345C420E1268
-6581CE67048C899C99CB5A8E3FF3C7F2FF5759F08A6B12288C44728998E029A2
-C3C5BE46D6B9CEA1129C7C33AEC60343A0522A485C4422A198DC71A753136A30
-2F986ABAD73420CA32DF9DEE51B2458D6CDC3169BCA7B59CEEF8C3FB93D89220
-3B548A1469ED17F4F529F95BE905AC01650715249BF8AE1D3AA85432053FFF22
-36ED21C7A4AC4A60F69A2EC13D2475448CB57B816DFA4C2679399DEAA3C4BCBC
-8F7F65C29C5D770A3901FC0E9FA8FDE9F5A51C049AFE5DBABB43CCACD020F248
-1497A527F5ACD0654A7B893400A9D10256F98C17D3B5760BE6EBF9CF1B3134FE
-3F19B278C66519C118F72529321EEA2F094ADC5A3771463C3928F2481472DC61
-ACA6DD892535E2A441019D915C1C03EBB0E87922F54E91CD97A31557B7B8691C
-01304DA1898F02195A3E3407E1C3C0042B4879347556A092126480D3A102D8CD
-4621A502070E8F663CBD355F0A017F513FFA613F590F2487FABBA50785F26B68
-7C376E8127C06C2171C92F25F20AC7A5337FA88CE03E5FD77E200324170E688A
-E24D7D56531202DC8DA45C901CE5A09899157D108ED5825FD72BD2F49E248C4E
-68213132DD4AF591C7E1E8213F38BA9011E3FB6FA67B1E59117B77B502DB70C9
-E95525C568D31BDD779D78BF8879FB90BF85A46CE08D7A9C0E9DE22F5A5BDBFB
-EB3C61DB888252CB2501ABF53B2AB474CF37719DED4E78760F8A25C6092ADA64
-89A9A8C67F46EAD89136913F9661AFDB2BC74DEDA55B094922EE6D1378AB53F5
-AFA8D254B194FD6A6339F5A3CB7881A88BB3C2DE86D03E819F1D41EA16561CE8
-59D96B9489C68EEDD7465B4C973BF58B1EAA71F9D984B6156F8B097FE7CA2FB7
-73678FF8CAB544AD578A656E3958CDDB93F16AF748FF53D5DA0500A7AF2A572B
-1F7027714CE9F6F6BF0472D35346B05F7D6F653EBF486E749AA043A9BFFA8E11
-8C29DBA7A8F00A5679A9EEE5704313F10E7E732E784207D25E099DDA6CD727E0
-62EF1DA81B4531372F99D24EBCA7B291B60615E330DEFBF08B45D6F11E386EDA
-C2EEB034A8F0546F9561082FB60BEAAA14856F79137C41C1B3DF84D7B7EF3E8C
-A2E31F2B11EF94A0906FF9BDAF61BC00C583E6948363E94B1D814C8BBEEB9F90
-CC727F8D91A88B2F5E5AFD99F6AAFEB7510C9E6342301423DCC4A34846D9EB28
-2C9AD62620198EF7A3A4C515FFE3FF6A7D02AEAD53B4678B8C6A51BA9EB966CD
-DF7BC5873A
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-cleartomark
-{restore}if
-%%EndFont 
-%%BeginFont: CMMI12
-%!PS-AdobeFont-1.0: CMMI12 003.002
-%%Title: CMMI12
-%Version: 003.002
-%%CreationDate: Mon Jul 13 16:17:00 2009
-%%Creator: David M. Jones
-%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI12.
-% This Font Software is licensed under the SIL Open Font License, Version 1.1.
-% This license is in the accompanying file OFL.txt, and is also
-% available with a FAQ at: http://scripts.sil.org/OFL.
-%%EndComments
-FontDirectory/CMMI12 known{/CMMI12 findfont dup/UniqueID known{dup
-/UniqueID get 5087386 eq exch/FontType get 1 eq and}{pop false}ifelse
-{save true}{false}ifelse}{false}ifelse
-11 dict begin
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
-/FontName /CMMI12 def
-/FontBBox {-31 -250 1026 750 }readonly def
-/UniqueID 5087386 def
-/PaintType 0 def
-/FontInfo 10 dict dup begin
-/version (003.002) readonly def
-/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMMI12.) readonly def
-/FullName (CMMI12) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle -14.04 def
-/isFixedPitch false def
-/UnderlinePosition -100 def
-/UnderlineThickness 50 def
-/ascent 750 def
-end readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 80 /P put
-dup 105 /i put
-readonly def
-currentdict end
-currentfile eexec
-D9D66F633B846AB284BCF8B0411B772DE5CE3C05EF98F858322DCEA45E0874C5
-45D25FE192539D9CDA4BAA46D9C431465E6ABF4E4271F89EDED7F37BE4B31FB4
-7934F62D1F46E8671F6290D6FFF601D4937BF71C22D60FB800A15796421E3AA7
-72C500501D8B10C0093F6467C553250F7C27B2C3D893772614A846374A85BC4E
-BEC0B0A89C4C161C3956ECE25274B962C854E535F418279FE26D8F83E38C5C89
-974E9A224B3CBEF90A9277AF10E0C7CAC8DC11C41DC18B814A7682E5F0248674
-11453BC81C443407AF41AF8A831A85A700CFC65E2181BCBFBFE3573BF464E2BE
-882A715BE109B49A15C32F62CF5C10257E5EA12C24F72137EB63297C28625AC3
-2274038691582D6D75FE8F895A0813982793297E49CC9B54053BA2ABD429156A
-7FFCD7B19DAA44E2107720921B74185AE507AC33141819511A6AC20BC20FB541
-0B5AAEC5743673E9E39C1976D5E6EB4E4D8E2B31BEA302E5AF1B2FBCEC6D9E69
-987970648B9276232093695D55A806D87648B1749CB537E78BB08AA83A5001F7
-609CD1D17FFA1043EB3807AF0B596AF38C91A9675E2A53196FEF45849C95F7DC
-182A5EC0EC4435A8A4B6E1CDBF9A5AF457564EA72BF85228EB6FD244F2511F5A
-CA9B71A65D53CC06EF5F7EC3A85106139A4D312378BC22183C09A229577B793A
-1B7422611C03E84BF809F46C62CE52D3AE29CE01C32B202ACDAA5B72733EB0AE
-C31D7EF7BA88D2D14F85313F7A8B9B7A5B124B03AB923744D336C969E5CE304D
-3AD977A46664479EDEFB69F113024E761C05FA48A54072DF9E12C2F352ACB3E6
-D04F6EEFFDE209E7FA3DA22E5B1D1409461F4286B7F4F8251B44E5CB7805762E
-E129FF4A06A7458F3191926B1CAF70E32C6571AD2DC07C34FF62840896F4D200
-761B1A7FA356526D1E3AB4C542AF13623BAEB9F61B1BEEF79A9205B1FEFDAE24
-8799D516A9ACC30BC0139C63C9A0523E9D5439213B67D490C96F902958779B8F
-68BD8E9FDDCE8A3A2E35877DB6C94B7612382ED8F218EB1157D2ADD090A2448D
-10B99FBC9211C5629ED1C61C74FE93041E5AA03EA4AC3FFDA00C2B6E719CFAA4
-262FE17F66804A6B54D3669836EE4367D2A2991580C5564463C973CA0DA38AC6
-922716E13B4A807B50304B8826CEFEAA47C305FC07EB2AF25FA7945797237B16
-56CDE17AB0834F5C97E0CC5741B061C6FF3A8DD1A79B9A173B66A6A750538E26
-32FBC92E75BA15CFFE22A7302F47908547007402569158F62C29BA2956534FEA
-7DACF1E507AC309DAE8C325F2A6023D2FBD81EF42146BFCE6A16A6310A650460
-7B07BB7647C8760FADDF0DBBCD3DA6CC4645D1732DB3A22D8B76E1D2D48E4D4A
-46F4BEB80CE65F3517283A1AE08391FD1C10ED452133706BC6725AABC80107FD
-754A8BA47B0281D479F052CE26A723EFFACB79B213041A536542AB334769A2BF
-88505D82C498ABDD5A73EB539530F47CAC52825D16A969C8BB56D4A7F2830B8F
-CB63B92B576E7BD922A4B25E634751F8A3B7C4EBAFCB373EDC8B8281B1D1371A
-7844E9AD990CFF09F0D7ED73A5CF873D2D5C9E8A9923CFA31E1A4B4CCCC40760
-8B3AC8FC3C88BC08BD7407725281BB879A1A822D94997826418F1B89D303F2C0
-BE7A0102E6F529630CBF1BC5BF3E4578C164A3DDE45E62A957EF3FB7F0FBBA6B
-CA1E79A1ED195B6A11CFB345B663C5E72FA55D80476F604F6C4257B51686AE25
-8F7D159FE605DDA0AC74BAA5034F29FFFD403070013C6E2D8EF6A0990D91173B
-D5A3AEB98B64E412991505C3CB7C2CDE13C091FEB3DFBCAF30C4C19511102300
-135BD5D444BB55692013F52056908DFAB2ABFACE81A58423ACEC59344CEF7D4A
-C5A3EFFFFF70759BC3E593D878281225060B97D1BEE6B26EED90571FEAFA1812
-1115C0EEC892F5DE6FDD68321A0B3F10A2D771B79BD85476AF6018472A499A86
-07D64CFF4550866AFE590C471C80EB12CB3A989A60BC7BED39097C12D9286E39
-14C7952C4C64820B4DE44A1827B7B0B535244E93FDB80036D6332F90F95B472D
-7031E7E3819E881BD0313CFA112EB3AAE943C99C47635CCA7E34DC0306C04E5D
-2E9F60FF037EB11602BE74E8E6B711392E866E3E55D988F7C856417A2B9C186D
-639819B4786D039B77F8578EF63C088FF28BD08D8353031445C8498A8F445BC3
-D08923D32AC04BF3CAFEFCCC1E77EA894F4E846F47EF62D6841B8D8576FEAE8F
-90044626869D04D61D64D56E8C51AF8C18D6CC3FEF3B6C4F7D56FE3260354948
-10104F69B117FB8269292579A7D52FED688C663B643D8D99F13956612271073E
-1A337AED059B7A93819A28CDF01569CBEB51069D22ADAE25C47355560F402B2E
-8C9900DA82B79C64497C8494F42FABE5AC41791C2010D98FB7E593C744F250DC
-D837DB0EAA4F75D0016970F3AE8359878A08CF9A697A06C5EA945819151265B9
-1A12122B98F79185DF852257BB4798E7DC03712EA6ED34F6E6AE1476788DBC33
-9229FADB8D581BE1A63F596698DBD6DB98A092F67197A4FD4A50B648F2691875
-EE2495D6BB310078F516785A0CEC7EB6E8305FDBAEB1D15690409FE32DD9CFAE
-DBD3866FB63EBCAAB73E3E4BE5D7F3AA44793938AAF3F8341683F0790F1D46A3
-60CE083F9BEDDA22E0639A92393960F86602216FA51E2754BC2F4CD0BDECE3D8
-FFAB7E0E49613DD4956C9A10AEA798BDA1F756C755BEC12147ADECAB0FB73B7D
-203A11D84DD2AB5AA98FD38C1C2573570FD49A4924A94A106D2A7D850E793608
-FB135853E8C4204441CDBE697FD0CB330B1C3596F32D2BCBF263237EAB362D09
-DA6F531B40384DC91F30674760CA7B64BA1968F6A7FC9EBEF431A1AFC5E76D7F
-2D44DCB7F61C7F6B16196B3E8B47343F572DBA8B8B21B43E35BB6B2DD5C7982D
-244FD4304D254D6CCB5E8CF70E77F50812F41A988EEB3B26BF0F6F69BBA18077
-31134B5A5823D10FEF6201D045AEE7A24E0F25376E9FC66340C56C05F6CD810B
-724D85CC4BB8D789834A447CBBA159565D08BA5793D8599035BB5063271518E8
-F6C50E7DCE71B1D186270DDC860C6DC0CD506010EB5B1FDF6BE47A9A18CC15D7
-D657E58BED9EECAD5CE5D49F63139A39BC52C6584BB2C3264D51BD584B40F8EA
-AFCD8B83F548594386EB2B05CE803105E84931DC6E7A1398073D48E130E0D907
-CD0F1ECC3254EDF5D4DDBF44415DC9BA66C673820CDB0FDF033D59BE2B5EFCEF
-01FF9D33EDC88F8D522E07F1689D024DBCD09A16A63519E1764C8630FF36058D
-CFC07027E0ECDA01E0E85B166C613B22F587B4D355EB018BA93E92A36007B4DA
-287FF5A91F7D8A0EDF5554ACCF45AC8066E88865C5692E63EB99CAC81367B605
-8E6C19EB98EBFE0D2D161B447B9A70CDD1122C7B78A413369016E6D8481E2AE9
-9AA97B5DD0ACC9B0820F7742CEB2F46F89F3E2092621969A88DC0156B4F941A1
-6BF1546D4B136657C47B082A8A35FE96016BAF3D9679B8C32EDDD6AE6DF3BFB5
-7854074FA019707FC22BFA82299E72ADF9A980AE29A8E2434277E58B01F6B03C
-192E1E25DADD49F6E3F69799AE62B56E00B60A031BF8721DB8B2CB6D4A4C15CA
-AB1FDE010AB7DC0DDED977389B101B8E53A949222FAA126656E02817DD32B0D4
-A49516CEC2B97EA7C78FD66229B044EB92F502384BCC6CCDFFF995EABE3BB7A9
-50D5D1AED861E7D3BA8D333026C673C5762712E763E59261426044583D789C67
-A606B96F97663F92BF104CE02FBFDFC521EC0D6670B7D4F85A229F51426DE912
-3B729C4A535FB7C88D0A5E78074751B58885DD6BDD2DD9E9C83F105E8CF63DDF
-CA7DB39D0319CA7CC2E73F42747F007574DE25AE1538B4D493D22D0D5F0F80C6
-5F6FA3937C8391DE2F0116F81DB2DB0EF751EC838A7F85F163A6F48804E84B96
-8D715EF25B7E2A5CAECC558D80F421052A1D698F3B8452AC27E30A4E6226E3CE
-084C8A83ADA0818A110923CF7AC7AD4CB92AE4ABBE0A9EC1FF935FD02774C1F7
-92A278E513012AD17722A23C55EF82E18F8847B5CCE47F4FE3EC508BA563F7B2
-AE56C94285A18DED4D432FB0CEFC05A20BC17DDF9FF919C724810A8ED7358A27
-97EC93C1A13C443A91947FE1F6F528EA7B628917FA7E554A1D7B31ED46C5ABCF
-92BA57961C8876DB4041305EBB029B03D8351D5E2819FF87E97ED214D8F1CEF5
-7F7668DDE223721C0B810F4A4AC81CA4EAC86EAE546E1B15D91E626FB9A31824
-5BFF17C4E79FD56ADBF6DBF01BAF6453A81EBDCB38A5FC0FD0FF0646B3B0D199
-13E2E59A1B5CAB6DE5329BE389BA0E2A2AB55CA40B711ED746C24F1E48892E76
-6DACF7DA163CDC90CF076763008E7A899870CDED5A80758E6177BE6B93B07EB1
-5800A3BF7B9AAC3FA825CE594EF5B7546B181375FA8F37608DF17856D2F8EBD5
-6030A9E6F6BEAF224AD2AEF76D03B023E2FCB922CB8E3C6816AABB61FE6E4F83
-F21B4935102C860ECA03DBEFCA461F0E5B93E5A8D18440BCF7D1D6252A24CB6E
-A64FDAC8B67C4888519AA368D9C4A8C08C7155DF5BACD75C5196C571C3C456C4
-7CE8D90215FA6EE8CDD72C48740F7F5930EC3632DB63A9C8D2DA125088C0F05A
-9FC83D16B7F53163F4EB6FF372C6C3115F1E68EB35967D11126EDEDF0BF80817
-E68A698183B3EB0A207DB43786E1B9D289359D75AD5E465328CAA90E712C2962
-AE2A466173F2FF30EB535A6054BB0B875DC8552C16B49DF17CF84D98D35497BD
-F55E273FCBB0C735899529A69990E09149FBD2DDE64B7FA8D50AE83925DF03C8
-0B63EA158FBABB12A028803DA4B9DD6C48C0FEC469C4E730729F4BB420D5B003
-1918B4AE9CF35CFD31E8E62A44C0484E3D00143BF1D330235E821E5CFEAB4D31
-7CB4604DB1F310457FCF9075A3527279644D908DE847CCD00B6F50DBDEF91D3E
-38238CAF550FDCABA2C3A46237218DCC5A09AFAF69997E1EBDA7EFE6FC99ECC8
-5D4AFD5EE35FE2346BE79B499EC8EC436868154A947D13BC02C780EBA4B9E64F
-3026F1BF5DC1F8D64FEA1281EA40B4BC355638A3A59BD9055BCBB232FA45EA0B
-B405131B64F105814019BC55466EE78E9E9ABB62DB30EA452F7EFD7196C76A85
-15B2CFCD89922CADC0F392B0C54A231F3999AEFB53C24EB0C63B0C8A1A1ABB6B
-AAB2F93E5ECC7AB90EADA320E918106BAAFC1F8C425C617639984629018BA674
-6FF4F338AC43E23BC3740542911C058D43A49A11CB3A0CC8E3088BB5BA6048D6
-CC2AD250DE956BFBE83BB24C945C20D9C22E7105983F284EF478F9B68BFB0322
-EEB7D62802CBAAEFF1C2332159DCC7243EA40CE15C734EA905E04C476B178B82
-A08ABCB0B86A7330C75E62EE7844C9E22DDB013ADDF20AFE08122EE1B930A81D
-806A0F8CC584CB7FF5F56F9B35E5FF78FD93E7E4A40C64537464EAA275FE88F4
-461FC6A467C8A69B9A9FBC10D44AC1B753D313A8E7D97F5FAEB60F82855658D1
-4DCEE043C8FCDFD8A29DD091F3BA55874A458B2B8989F35055C72FC411382361
-9AADC717E602B48D7C9521D3971A6F7EB19D539445DDE9EFBC5B58FA9E5E426C
-172C45CDA24985FC4632287FC3B15849DEB56F5A061993AB10A6BC59868534E6
-69888175053108B77E4978D971B4EC57224C0F93EEA4C15AE92254140A94704E
-ED5666FC06C5341F643F779CC88A9E81891565C63B6F7F6286E664F4E0A48690
-356DC96F1B98026C563700772485B83BFA06435D4E0793EF822F423C93FBACA0
-E5D889D2B76771C6F0EE997A5DB43C2F6921132890406E3C33F6F159B14C5D78
-7C151BDFFDD02B697315F191B5490073EB418A4FF2A398C68D44F0CD1B87CF9C
-B52F12728B72F94D752D23151196A256908135C87991E508B8906CE2539DCA8A
-31F86809C8C6C18A09F6129BD7CDC6B37E76B648788056851F22BD3E3B5772FF
-EC01D822B57FFDB3BAE624F05531292641FD6A7E3666152D18F6C653048DD7D7
-98A942C840C4A0FA662F260B21C64214152BB86F03662A330109C5AC0A5EBA30
-C6201F558858130703DF76AF4FBBEE069BDE45C0D9467077D85FFED4F9BA9C61
-AED87D67CDCA453A6528AC5BA153E1039D9CCC556CEA5CBB542265FF54A1B208
-E0E13740E7E7C26AA00AEE909F8F3ADC2726081A744D8EF6BB711BF5F611A900
-76F91C26A338DA13A7160A9F42410CCEB3190000D963D036FDA05A29F598EF40
-8FAE6F8E7E6F50C99C3304A573501C13A00023085F057DF331E3354CBE65D573
-CAE73BF15B3B96B502E0AAF2B4A86237E98A997AAEFFF4227D5A26E8972C48E7
-761F430733E6EF8AB2D903C17FAFBFA21C25F8A0AC157D397BF3CC1AE7598F0A
-2BE4FB46B29443CE57F41FD5F91122E9D86F903E94D5B55E2BB95949C156D138
-89883BEFD634311F9280C7F028DCA6408D3A682DF5B55B9F7ABF08F019190F60
-D39E4F0E80F0594235B09A5320109638B938633A2C196E4ED2B43DCD8643C3CF
-C6123B076B7F73352F906D96FDE0FBF50CCCA432712C574D5857838BAC30B485
-D25024EB254A7EFE57D1DF0892C275CDB3DF77602F0FED0FAEBC644BCACA04B8
-B424DB125E487794CAB36E01B5E1A26F5E1E97A739AA36D77A12F5B45338EB39
-AF36CEBDED55DCBFCF497FD475FC6BAB5530AD6153C6BD982564EE8712185F1F
-D5EA7ADF4104661168A01994C1FD773A50C8AD6A3E4D332E4D59521BB8BBC6C3
-866EB4AC3EA4532477E6CBF6BBF0860031C3B916AA25E3492670EA67F55CF4FD
-207C684A0DDB6F4AD21B2909CBA71BCE2E762012B0927BA72367A6AE0AF87F73
-756C9BC85E4EDE35317E2CCCD138C02C7A8013AFDC1A48C3A4BB8EF257BDEEA7
-60E012F54D12D31D18DC59D5E526F12567B8688B4B67E16B56713870300016BD
-A3B9DA87FDC865246AF8E94316799110D86B1DDADB8A673402D4226C519C058A
-1D1E5A5778584FC28AF12819B1924060BC4F54B1054EA6AB0149E04B8C4302D4
-A56D8A347EB5D3D2A0E12CF7E35059BDB53D9FF6BD25F6D9619BC4669CFC1048
-C6C9978B8751B840F27D82A69075832BE59F55C1737CBB1220FB8FF691FDBDF3
-03BD7D225A9372AC221C38245E48320E1CCF898D9EEDD678E5B8C65B7F588321
-1A3953EEB9B39EA9A8CB72DB08C3E9234DFFF5FDF9DF804C021D57E97DA7622B
-97F4CB6E0EB640E0DC9EA15C5193F92A3A7565F4C7A4C9CC327F7CD2C44900AE
-D9E76FFE62FC37FA376E77131B566AE67C3E09DA80F198BBB995EE8FA47EEDB8
-4B467C6C7DB8AEA745CF8C56B8BE56534E9C56FCB2B7006426DFE93D728FA4CF
-94F131C549814E54ECE7C914C5FE8E4961D3437CE7475D03534B62650F551D97
-201C794AA877445DBEB11C85ADF6119B05360700F8CEDE4766E3A1D7A35CDDC7
-9ABF7C619E3868A39D1852DBE1EEAF5D7898C78323873AC005542B68C43C5000
-CC58F675EB595F87C879694751494676465891E8A897158B481F11A171CCBBD7
-29603F00210CFD7FF31FE3D273933ECC34AFBCC4108D9B76D9ECE63EA06CF939
-4799092A54A749DACB82C1424E9879672C8BC084C360014C9C1B6D5D65C68AED
-66CE329C3AD712C0A36BE7EF03FDF339CAA2E0336D387A693B1DFAB5D5164E31
-14755A158168962C9B399F8F1DF3FF5060D7464D5071058C30C572A2BC7DEE53
-84BD7614A4BEC4C84E18CF7EC81C811724463BD46CECA5FB57B0F55EAE20CC74
-6AD815D1897B037C197D2456797B992C20C70B663BF99FE28C513B4E221C8E12
-49779F8C0AE8517048ADDF7CDF0D698E3EFE60071C4997B7F5EF12B6CB65390C
-224F13FBB99FFC034C0710F05019899689B6D3350BBA65C7CE7C2AB03D81B9A5
-5F3D65E4D462DAB189006669F7390A78A1B8908A4C913B15DB8827DFF15BB9A4
-A6037DDB643103B937257A7DAB025F09D53FBBC2BCB6B0BCD8D56B2B2784E498
-1F6CF8470DCC892AD0CFE11578718948BABF9C142709006B68486B326967A28D
-41E878EF9CDFFA015BFD11310CB2305640182A131B96D73348B7ED8D31A29D7F
-2D889D8EC4F6C7A55DD179594ABED611CE4DE790CDDCB68CC677A362B879F4A7
-F4F84113A561F6D170454B0DC4DB2F973E21176E5B00D0774F0BDB3F0E22D753
-FDC635611AC85411D57FCE2CC85BB5DAE17BC41F3C1E5CA1BE272ECDEC1C574E
-E68E33D269E90877555B1E9AF694D44B85295968D0CCDAC4B5EEFD6E6F284597
-DC1016F2D7502E91FD71BA624C499BC62FE7B4734070F8C123A633E51596A0ED
-00F273E0DD044A7DF055D633040BF5853FE171E3442C0A00DD938476920CF678
-69A9DDF5A29AACE82231873F15E4EA92B37F9045EB711B4939EBC0785F347643
-5792033AB924266D8734301BA52C5192F8B32AE780CC9D48C832833999E78819
-CC4FEBEAAAD11210EA3D220AC1798A5781DFBE3E47C31D0B5A0B87147FFD44C2
-0F4FEF9B7C06072E0398F740D8BBD3FB1B9920AE84C085461C1F5C08F4251173
-001AC878E423340D008E73A1F49B6058DBD668C43C513C35AE8144FD672DF548
-C439A883086F14F419820F312F3127097B59ECB9ED4D16EFFBCCFF0CF648981B
-B0F888C510C0CB3C45918E92417F6CC39A8288A88398390816BB3FAC62D2051C
-CCC0A389D730EAD6B05AD28D4311178DFBFE442372B08A31D416B78B71520456
-64620D9D0A3FA3E8BA66A32F7839E4410B48557459EB0918274A879B02E0392E
-5AF97B16F09D2B8A3B514BC1BB5467D359020C43A00570AAEBD3DBF637154F71
-9A636A9700C081553E214361B2B57EDA19BBCCF098E1870D0846736F0649DCA8
-FCCCB124E1FADDFAF3D5925CEF54EFE72CD0D2BDB735D18B4103C1DBDCD8EACB
-15EA2822AC4D8AFF79F1746B14ACDB6FC83D45B9D3E972710DEF408694402960
-947DA3B6BF54DA82FFEBC510725C300BA2FB19A603ECB41DC86E8ACD2DA44C5D
-157E7B53ABA05461DA40B675F081053377364DEE80EF49C4B5909FE549B798B4
-96C226DC16A18A9DE663612661F780459D9932AF482B5E2351E3BADBEFFD4B49
-D5E120C8C3C96A3D38A88E5D4A9559465191677CFAF1B1BE5B9FD0D277D5AFB4
-8E827DD0B979E7FA7FE01325199C2F208A02EE453F545DC69D66B1ED9262133F
-9C47E58A0E5014E9C2670788FA0F0A5CB372B84435B4041597A8A5773046E924
-6DB111C8DC2DF76A47C644BCF5AE4D4B413EB0AC2EC4684B0A43C27EEB591A20
-FC3A54B30B97687A68132FE1D54AF1CF3B8106818B86D27EAC3EEBE036BF4834
-ADA8515C4A4972910354AB20C935E0EA158B8AA75E645F5A8D84FB1C177AED50
-2F9F054D68CB91DE636908DAEB2F796C0F267E8D7F4E2B82093323981CE48D06
-BE4D1495247B1EC6571E5D15825D479AF0E6EDE3188F329E2CDA61D7589E2C45
-A6B2402D0FC042A07E5EA2F5E4BC9CAA44ECE8FD86CA6D47F28C20CEB6AAE822
-31873F15E4EA92B37F9045EB711B4939EBC56620BD253E4F8EBA8FA68830E6BD
-9979FD51C83559413AE203A1EC23FC240D9E8CCB0619A3539824DF09EDA24176
-DF46F0BD3A5958376B794F2043A295E208A7516AA18F35C7CC9A7C8D719E8FCE
-2E4AF1F3B7462AAF1E8228092609828A232A2187CA1F9C67869C3CBB4205C9F5
-DD453B1D3838591BD4A0179BDDE65249412DB809496CF89ABDF642D9E1914497
-27385DBF12FB856B7017EA3D220AC1798A571AD1B27EDF2759A1A36F3AD7AE5C
-AEE5116F406A101D38D244FC6FCEA0889BD675581B44E1B235AF2EB56594755B
-CF623D5A9C8ACAE43716134C20FF7470501C0E31766C26D50DEF0CC9843F9FCE
-EBDE2A6A5C73A6E6D54E2AAEAE9B51BC58A83896AFC8FC99CD926213A10E5A93
-FF08C9520668D5551E1BF4F2AFD8131C11B189A473831EDE440FA47C51383046
-FE12BF4CEDA9EA91AAD3AB0DD8581E6A77B8D5868596599333FDAEBAABB03EBB
-F2904D522A84D78091BCC7D6A1E0810B01C554FD0AA1DD3F01689169BD7E957E
-2105D46F335B5F16FD9BACEE09FA3C44E1329F90042427A05835B63C0EA8AC66
-706B9B78BA8BF233BD081EC44BA7969E717A99BC62F2E4A6CA9C39F5C8D812BD
-BCDE5BD32AFC136D6B4A7E64A30C691BE6FC987A1011E5DF3C2AD7F5AF270D1F
-46361358C7CA7BA48C1AAFD2C18A1E41E7C0EB00D11EA2CC2680DA6632B591C7
-068CD19C25555364224F0197122F064CB389A6B316A9851BE2D3EB965681CA0E
-A41859F0298C5FCB53C08FCDECFD7B0447FD57AE29400FF009ACB24F32C97E42
-22F1EF1532A4BE481CEDD8FFCB536CEE3D04B7AE94BDB5124EE07E194F3D0478
-2FFAE89DD755A547EB4A067771FB6063A1A2DB936D479139E566C89028C96810
-375F7936284A0A93EA682D14DC794E4D07FBD3493383067096221B32616E46B0
-71EE03EE91D22AC1C865A95E1B019FFA1EB8DD
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-cleartomark
-{restore}if
-%%EndFont 
-%%BeginFont: CMSS12
-%!PS-AdobeFont-1.0: CMSS12 003.002
-%%Title: CMSS12
-%Version: 003.002
-%%CreationDate: Mon Jul 13 16:17:00 2009
-%%Creator: David M. Jones
-%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMSS12.
-% This Font Software is licensed under the SIL Open Font License, Version 1.1.
-% This license is in the accompanying file OFL.txt, and is also
-% available with a FAQ at: http://scripts.sil.org/OFL.
-%%EndComments
-FontDirectory/CMSS12 known{/CMSS12 findfont dup/UniqueID known{dup
-/UniqueID get 5000804 eq exch/FontType get 1 eq and}{pop false}ifelse
-{save true}{false}ifelse}{false}ifelse
-11 dict begin
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
-/FontName /CMSS12 def
-/FontBBox {-62 -251 978 758 }readonly def
-/UniqueID 5000804 def
-/PaintType 0 def
-/FontInfo 9 dict dup begin
-/version (003.002) readonly def
-/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMSS12.) readonly def
-/FullName (CMSS12) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle 0 def
-/isFixedPitch false def
-/UnderlinePosition -100 def
-/UnderlineThickness 50 def
-end readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 44 /comma put
-dup 46 /period put
-dup 65 /A put
-dup 82 /R put
-dup 97 /a put
-dup 98 /b put
-dup 100 /d put
-dup 101 /e put
-dup 102 /f put
-dup 103 /g put
-dup 104 /h put
-dup 105 /i put
-dup 106 /j put
-dup 109 /m put
-dup 110 /n put
-dup 111 /o put
-dup 112 /p put
-dup 114 /r put
-dup 115 /s put
-dup 116 /t put
-dup 117 /u put
-dup 118 /v put
+dup 119 /w put
+dup 121 /y put

 readonly def
 currentdict end
 currentfile eexec
 readonly def
 currentdict end
 currentfile eexec


@@ -1059,87 +714,115 @@ FC46936FBFF87227B9DFF57D3211A340D76D54CD170476B17BCDA45CE4DE64BF
 E514D77041F132E00B13A76A105AB3EB6E4FDBD3E17315E1E0A224FADE625694
 08F6ED842CA04EF55CDF2CACB2EEA5DABDCB79FF7D9B695DAE2B91950E3C01C8
 FEFB74E98F59560B24C1A289E63F303B746FFC0D945FE34FC4F574036E13FC1C
 E514D77041F132E00B13A76A105AB3EB6E4FDBD3E17315E1E0A224FADE625694
 08F6ED842CA04EF55CDF2CACB2EEA5DABDCB79FF7D9B695DAE2B91950E3C01C8
 FEFB74E98F59560B24C1A289E63F303B746FFC0D945FE34FC4F574036E13FC1C

-A5D7A7A9D9668145B240A01E890DA50084793E3EFC8AD0320518BA88600502C5
-45F92404F6B14FD73F4E47F96B61BA0F88E99544E109918AB0BDCA908F4443F6
-4E4037AC19B46A1050451ECEB053DC8EB7B28A5BF5BBC8221F5B71F51D794809
-A22E64FE84DB6FBFCFB808763B89D171F58F1E998F6CC239D265AC30E90C9E8E
-79938B34F7607861CB7A553EDE3D087BA39A395D484A78488C59906FFBBB859B
-B1328BD50F4B6EE65D2DB6ABAE8133C7BDA5A03B58EEC6A406785CB1A1B94516
-D4BBF6F6B68F3B1F7AA8E8F76104D76978B921AAF1E522B0134527426997D637
-202C780ED561B23B0917E380F5B6B5835D7BA659772D67DA29E69F2E0F07C45C
-64C374CF58E77EBAAF55FB680B985BE679C2FBD4D866990B7DFF746D3D38B3E0
-FFF3DAA13F49E12394B3BADCA9FD280D470417A21B9294A9EE941E338BD08F05
-8DD2195CD173E5CD3EFE666EFB446F90ECA7B4EDAF45AB20ECD66DB5D3827F2F
-C5CE27B7C4C0107336B72CA5125D6377A1F2676225A2297A48E83288B90107EB
-FEA1612F923F4EE4EDB4E101A9ADD2BD1398E815141B932A733FC1EAF1C87EA1
-F434CE779113EDFCD8331F18A278232975760A7870717632C7559897C8C25543
-264D488DE49E3E0938EEBC73FB80B724B8E02E67185D3D573E3DFF86856E4A98
-74CB4B618C65A23D63E97B07098A8ADA7C8EA6E29A10F0FD865B90DAC9EAF37E
-9478DE9AC116FAEDDA5A3AD4E4AC7061D8E9D07D56EFBD7370C23A878EB1BE94
-288C3BDE76D958070F3D874DA72A8714EEA2617ACACAAF97B96B26275E931521
-945924CB17A1055D36ED5E725365F007E6B09984B8C3356B8FC309E64CF0973A
-525FB54A04B7C3319F27432C3B742333A8A936715431C92162A352848AC65F01
-02011C8DC34831DCB32AE49BAEB4375BDC354F31F628A16A42B15FDCAD77B31D
-5CB95E1C598C50FF69DECC6BB9A5A29C0C7F5117E70BE97B340F37C2587D1C71
-56F84EC4B220ED5E6A63FF24EA8CAAEDC27CF78E392506AAF77762C82948806C
-4E396F4BD3A76F8E7A26A87662A37CC66CF1E5638EB63774B8B6423E92E6B420
-79BCDA5DF6BD1A597E4D809269920A26CF6E6F05B9109DF096E4840A5C7C6150
-585E6E75549A8534711B703F25DEDCF5E7D7AF256C15194DF70DB510F9F77E18
-F38EAC6D6E7ED8E5B2BF51908ACA642C53F7300C1E2D97F448E754D60455AD93
-9BFFE15A79D06C73CEDC987FC643FD0F78316C5A61B5DA133E5EB13DA2AB9652
-C6F1F4AECF2377CAD88D32F0D142FF4EB1CF0116D2666E1F15F62F8F89969304
-D5058784BD87CEF8C52D2A2F60692E780C3253A1CB6C51796F9F7BB862DE9557
-7C92F764FC89FB1CB38BB177B2E4C469BF6180444CA447018D9FE49010DB287F
-5103BE4830F74C6893401585C09524F87CACEB919A2E95A8D0F73D9631E9008B
-DA28E77DAFAC1B65B5A23E05F96B13262E37D1CC6CF044449A1D9610FC666B60
-615CCE9AEC1EB92356DFC2719A6B93E684111FA39E07C000049F7B93C11BE000
-8B00F9CE0410F633D064FD3C22411C6FCBCECF25B083A4430A507812828B4CB3
-C919805DED921B59FF1CB713D31CA12A4536B92A14DC2418CD80FFEA43E5FEA6
-38822342EB8E183872A20480355690CB12017267A4E9931F28981F9A98E4D5E4
-65934ABFA21860BD5C7739E246F37042D3CFA3F896C74460208B7DB0D5AC7AAA
-3AAED2306B0DE6BB5EA898017D6A6F1D8600EFB936272E3F72A156D8E75FFC9D
-33DD2EF6A6AD9CA443E14EBB47308DAAA22FFC97E33E4C131A0B015E4B3BCCA5
-070894C0C94F0FAD01C118544B5270DF2BA0D50C2435D5829FCB5223805CCF40
-3D182733D3613FF30DAC666EE8C5468CB9098E8A21E7C3C17ABF7B4C49A69674
-F602956F5FA30DBF6E6F671051EE5DD132DA7B164430D4967F3887DF99E763F7
-76888FEA91A0618516099B835B13A41B40FE3A47888BC285B2AEB6C471833859
-ECBDA3706AD5C39C4020A7B229921BCC60A873152CF51398C931260CB4EF93F8
-108D08C56C5ACC0BCCC251BC3B577C66BCD8A30C12A445534AE037F5645379AD
-06127F8B2CBE5EAF8654DF472987453D99349FC4F65130CA742D3C12F5FFE831
-9EA8CAE6D4BCFC12AE06278C8D524C20A125058017CE5FB9B23AF8819DF0C2A3
-C6E0901F595D24662AC95E00E0F45ACFBA33D3F40A9D2B552FFF8BEFC1BCBFFD
-25B4580926AB175461EA3ED3F35AF61AA6FEA108BE34B9C4906F6C3850C83E67
-C50ED3A9E25F22FDA4691782D8519D8C5D78686BE86B702102D7FD4D5E9F4D29
-F02AA47C82D93C7C8FD07FC1500014E91AB6E639AD02C1718064791CDF8E1883
-84B9842140CA8B3FB236E11C3B3D8A05B495E1F715C4487A68A38323D7AD68F3
-F9A3AEA855DE93F61DA1C512D96FD9A62500357F1465C6A69FC7DBE7CC0057FA
-A618ACC4DD560BD20E4409134DC478744C68C3C6FAA8148D62597F2F8B95CCAB
-A1682B457C772104A0C9C6FE4A924A36E959750027C1384BA6FA5EF85F5C420A
-B288B1384C50732F04A2EFACA80D79E3145FB69C4394AD3E95396536452588BF
-17DCF5930ABDC9CA3102B26DAE909CB8F64F63E7F1B71E62A6D7DCF30A8F7D16
-61AEA7764521403597A3F41481C5BFA32DAFCB68019A6F44305168FBB6E6AF60
-59731E28F2AEB48EAA868C6581D420D299E30B69F839E0614EBB7BAD7AD3935A
-CDCC8DA70D53391B58564D26E71F727604B6FBC5C9281DDFDE3CD0A213884D9D
-F31CD28627B481F05537578D58E66B98EBCE20B6D25A4F8289AC7C1470947C28
-C366FC46DCAF328550C508AF5AA70FD2586CE0DB6976E3797C4826B57B1997E4
-F2A72743E2C48BC90AC218C94FE2EB42BF92F55C6ADAA3B2B49BC59C7A948B1E
-16432E833A3E04CA8F76EF02D1F03E24A1C6F337B1DB7AA49839C741A7C8D710
-D7FA7A64B1AF7CAC9C1AD9E6A081AA4C1D653967E8FC62C7674080944ECB618F
-8A783C335A4DFA5744D307DB19CB128C2F74C7357D1C1F71A2D121F2D106AB03
-A412A262D1E0A330BE233BC0D59B83F4197B16DD19EC23FE7A55F592FC395B40
-22632A956FCA9DAA52C2245FFB9A742DC870CF7B08E50CB3214C7EF93D6FEB14
-87515016C436AF64BBACE5A1E53BDACD4401BFD04FB479655EE13E6851D7C637
-B282BB63E87A8855FBE0FD3C84AB95DD73C336DEDCC01412CD08A1867CA1C620
-911AC284BC723CDD02CE107F3A01E288E805F72D7AFF1C18C43FDB63FAFE5916
-6A3DDE8E587264A6F6EC94742D5F20B23008F6CCDD3C3D2FD3B67A0F5C70BCD5
-5411E59AD8B397C9AFB5C10443126966E06295D912C5D68A9AF41DB8C1130072
-9DC0FE559747FA01B85F1C4B109232B89815FBAB9F937D28C05ED931FCE42165
-5104317236F2AD0CB28998B214195ECDA182B0BD37F13091AF0A7A20378CD5DC
-D915E8462E7B16F7F6BBA197A5F572986957F8124450DB251E29A680A4ADA184
-F074AB4F8804FC1396686BEA79028700B316A2C56111CA0F749AC816B5EC4AE5
-845597D4F3CB7A025A1984839C7660F155264420E7E282376D8C042BC82A285F
-3ABEE9E4F3548AC21798EA6030D77E95AF9665C0C7E1BA7F8FA860F1128BBB5D
-9C881436B1C2EDF8
+A5D7A7A9D9668145B240A01E890DA50084793E3EF843F8A3D527418B5A66C766
+6DED301E6CDAC85AD40E10979FD7473D4B836BE55BACB3C737A5C73C170B6563
+DA6A0785D44F8CDA81F01E0CBB7EBEBF9876CFC52EE5362FAE1C93B4EA3E8EFA
+75CE6EB448ED950BE7A9872E58D0506D2708541039F4AD9A0B8F48541EFED7C6
+894ECD29C5CBE2BBD39C85DECB4B3DC971BE5395B54792BFCC5B88D2579130A1
+32E47F1F4EE7941C111D01B66615CC18E10CAFB985B78B6479035DA7CCE3F447
+2686B200B23FCE6AC13FAE056EA1B304C5FA750C2E03D0E0001285CC46471BBE
+BD35B275F372BDBCDCBC5C5E8A42F97C89601CC5A8B0BC3D3870DDCF18EBE795
+527560DDCF443F2E2186F0D2412F74CF7E722F5EDA1775142375DC2550288BF4
+0F0F682744C182097C09EB300F9BADFFADE26C03C092350F18DBAF8FAABA3B8B
+5B65EF8F8EA1075BAF5E30C0FB59415CF702346306E8614758E431848948CB08
+2A8E84390607298CE7BD96D3C48E5939EC20D49D6575C7732A7A83FD2F1415C0
+F34B8C7059EE44BCB20F3D20C953DA1F6F58675A3ADE5C6B3C00FB14F8BF5112
+4D286E04C55BFFC60A93F16903BD2B1E0D7BBCC7EAD98615D4CCCA6A514B5AD8
+556F25E67ED3A90B6507EF21675FE6CC1AA5F1000AB28494CF342ABC85CECD51
+7F392AEC45D5B566A6D5EF0904632BBBA9203FEB0E7F0A0120ECB4C53091C192
+2BB0A90286EFC4E95F3F8679F224470AE49C53FEB7D0BC0DA7110DC0739BB36D
+E54AC5E981DC9F761C6DC9E2DA0E6B9B505011FA5C9924056F33EC616C58919E
+4F033BFB7796A9F7137CBC9E5F5C2868D4A0013D582BBB9633E3619E89DE66D6
+65D4DF028253E209309BF65B5FCAF713FB40B8EA93676B8C016C38EE6FE4303F
+3EF7AE43AEFCAAB423EB90A04A150CAC581A53E2E37DF1F73A66ABBA44926FC1
+D851EAFAD1714246550C54D9693F87CE86D29E27DDBEC7F67050ED65F10B3A47
+6FDB800EE9F26EC30276CA7916250D70B3050D6018CDA7C685CD76A00C6C7027
+EB761090D6A04946F7573E3900AA70678F72A524B4DD49B2437195F0E0A48D44
+1F3800DC17A36D4732B80E7772649CFA8B1DE639EA8F661C6DC53E603A23EDA8
+E2FBACB8D37ADAE31E17DECB7D0D56A6642D68834C544546C3645ED8ED96C9D4
+EF97FFD69976612CC589489AF0E8792849CB72F40CEC7B3A1633EE86170A0C14
+1013DA66AEDE8706EE45032F623DA41AFB80699B8FFB1E082ECE8673AC714964
+385D3649D28C79B4F00116FE748D8B5300B2FAD4BA1FD15B975096F111880755
+26DB0A953F808DCA685F785631C72CDF621884E38C85A8ACB2FF6EDD34A0A93B
+E91F97A81D504BF9B2CF0D2108682E5010D3C8995BE8737FA83B7F38FA2A7785
+6C51ED64EA1357A028A3CA6603310232C420E285A2D596723D2488B670C5233E
+4A94C34E08D48A5A0C876F5593618BEAC2666F6E82037EA4B02CD89CE7928220
+5027FFE85ACBBFB8E3BFE024862885355819330911B4371BCCA5C59CB1FBD0CD
+D4C823153039E9B7BD6BC49173D81F66EA15719DC027FB813B35DA93A8BC66A6
+4B9738AB08D10A11A2C1DB853D53AB07EEF4D5561FBD557D3C1A95DF13D7F71E
+A1851FBCF3D53E20F118D053B9EFA32C95872F75CAC6AF2513F4EF7D04E20A15
+BB6AC53BD83C750192418C7972CADE2813EF4A0960402DC446EBA65559952896
+00AC2CFCDD782728C8E0C38E7A40E3917CF1278B348BC49D9CFC807DC9265A79
+718C6D1C2573D9247C207FD25D6E15716E0D7D6AA00C3AF0B11F55299FBA7354
+492FEFFA9C23B64A85B8BE7194237BF5C34E0687DDBCFD3474FDB35AAA39D78E
+2A6DD54A1DD743D707EC05F8B8ADA57481982E3C04CC8640D5CEA2B60C50BB7F
+E6D28D2ACFADF923F763A8F3E79E7E6DD4BD9C1D04BB63D57A17D3FF475B8620
+E736CA25A8B95BA25A6BFA6E2B1D8DCC588F7E4AA2AB1197724A23CA94DA9B63
+825E3AC893922DC21EDF8EBE85D26BFAB6B6DDB1A8058AC500368BE3561302B9
+C27656FE03CAF11F03275810E77FAAD072A8F8298DF0B869A10B28D5F2881A14
+C31669CAF43389547366CCD0B9A32EBFB80706D0BEA9AB20E5C83E7D06C6F66F
+B9B0CA50237661B6D098A494E7FC1662F827B4BBB57FA048AC6BAED30DC4F30F
+018DB72EED7B9B28B474743CC5530C12C25D680CC196C4866475C83B73ADE910
+57657712DE2C80A2F18FA8671C32CBF502628B110A1B14D524D292D1BF8C6E8B
+CB28E41F351281BB9220274D78CE79EEB4253C4CE3234FA8AF5340624DCBBA29
+C779D1B988914A3C90A1214087627C438173C98A74969281069F07F315531934
+57D2D87ABF2AAB897850464AF97E761A888D7D20D26D8FE53A85329890BC902D
+EC8320EA0106440710678E6AE8ACBA7603ACDF0B1837A301E85E14AA35B4D9EF
+15E412298CA824CFB659180C4633B77A9DFA41DB41A9E00B5121F1D5357AF56C
+8CEED9B53ADFAE68B38227D866A3E346B2C3ED466D67C168B7DB766A1EB081C1
+C134DE91C51FFE3A0DE24773607EE2AFCBA9CD87B9AA869AA817257D518EE252
+7314CFEE1F12B7B5B1221AD008522957C21938D8DCB69CD82DFB52E3D4BFE88C
+E449ABA3EBEFF7A70AFFB5CE9C632EE1B94FE3DF2A681542420D42654D26EE83
+FD100DBB332CE7E86016CDB22CC73321750E65C2DBA1E06AFF4CEE4C4D2D6EF2
+E96B0A4D4DC62DC1110423FBE3788D1BBAD46422DF83E57763D5CC17331798F4
+9EF66641B585A24EF520C49DCD72D91C4829BEA30ADE98336AE629DBD0FEC501
+B0C520F71D2788A097127996E039A2A28D4DD1331D03082D10362DAE63C8D107
+371CC5270773BB26CE93D6D0C0170476B17BCDA45CB79E46E73ED804EE336893
+DBADEA711D759CA88EDB6051BCCD864EF65BB7BE4B60EC9627AD0824C286EF30
+E3A1EE270C48FB19DCFAAF2AE06419B4884C13F3489A51F149E40B82E6F70818
+A656C59C399F75811DBA593E2265AA21384164447C95CA0851E89C9CF6256DF9
+1792C20B7B4B3683314235DBB20DE94FEF64F6B1134C30EDC7F979089BFB26DC
+11AF6B3FF7A57CBC5ACB7855C8E1A3F063AEA77B9CC13B061C96023D85D1F118
+DBB1C4F36D916F5D364B64D07114B58D0D4BD81A90CC47E620013BDDE7C776E3
+BBA02F0FF71E3FE0EB837DBFFFAF3B5A36D565D4E68010917F6E6F420753125C
+A146821EF9B0D6C7C47520FB41BC9497A3B908EBE9A267C26456B9DB5D6D7F71
+40B2BDC38F1D66FB608DB4CFFF55A197AB3738C69F3EB0DEF79181D526B3687E
+CB464044314E9CAE3F0DC12809A337D325A76C0A9D77FB11A592DCC338BB3AF4
+E564ADEFD480085771F0D3673DA6B3FBEBD276EEAA33A3F2C00F2E50BFEACC40
+9940170A41EBD0CC6D71A237911AA02AECD4CC6115A5626332572DB9E9B64CF8
+A7ECA9BB1AF80AB25C98B54592D547925BCA0C6A398E194C98FAAAA2CC3E65FE
+56CFCDB30FFFBF6F58A44591BFB4C863AE6A42614EAA97C01188ABA1F00EC6BA
+1CC09D36CBCF9A670BD9EFDBC2A66B4A4B67F30434256B76C396F71D69D0D1CB
+C77AAB802A7933E0608A28137A44F796FA52DD3F7FFD4A74D6E370A6D3400A48
+94193B9EBE671898A8DDC67ECE0AD3C5F36746BA70B41851D75A38AA1ED0751C
+C9AF2E965152DC2C70B674C3F9D2E3CD9AAF20CDFCC77F05477820E7B26029D4
+093F88B56E42ED39CA1E730FE08F62A3695665B7D563B17BDE64A82EBF09CCA3
+FE2155CCF4285F0AC83897036E6809966A210FE9EF9155846911867B4434FAE7
+043C572705B823C7A6C4411316C1624923AE6DB8999FAF3BC4B4C67C5FB7AB45
+B0A35054EF81D75BD44C50E8341C27C8F40EE76B5EC20B069083491268E82FCC
+D5FB1C4A9A7ED765FBE1027FFFC9AF461DF6E34456E1A25E66F81DDDB2A6BD80
+2EE74D669A5FE048A44DC15C2DD7B3F272AD0D157DBA7AEDBD4D7CC6FCBDDA29
+5A4D5E111E33368837356EE49E4F4B742D6E65FC75131CB64BFAA0169CB7D69B
+DE1C86911D5EF35AD433AAC9D3ED81AE859813D761E267D41BFC32B59053415C
+138006B5EBC32291293F8DDA71B81D0C341A34E32279441AA62D48801769C5FC
+1CE2457359D57AD2448898A99CD2CF8E528217A4E091026021429E1BBDC4C53A
+7214D55EE223CA685E1CB52C5FE374381A254A56CBE7D5B4108EBB4EB6F843F9
+F781623A3ACB78F1927580E96D4BD79ADBDD1ABB8DE81582F0FA47286B9B7722
+EEE165EF6B29B975FF90BE03799F6125E43FAAE26DCBA92B5B2D6E5FE9885E4C
+FE01E1944A82C542343D99AE7C0860F23FDE8E923E8CFB55E3CF9F1457D73980
+B71970A833F912A27BF2DD9099D6A06DD93098A6468F00E1F6E2E80496D7DBF6
+B1EA35F24931AFAEE03DABBE547AFA701233CCABFF3683C9331BB1D0C723A5CF
+A68C43A4406077E81424DB125F8B71F8059CFB08D27D29240AE5639100D1E213
+6B3790350565CE6453136E17C7CCBE0F05AD85575B363935C22D184D47125D90
+F4B34F2DB08258F50A55AEFEA948C38ABBD4EBDD525D5016B29200F09AF620E6
+89294D09E869975B052C7CFC7E802A51C0FBBF2B8A7DECADF01A727C4BD95CFC
+FA5067951EA3157F9708183F1138EA6A07CE358D051C9D0DC3378EB9C489EA33
+2DD6693D35560C590CFA8E133F6441DBC1030FCCA136139AB4377050C48F92D6
+40886EDBE970D3583CB91A6377B0138D94149F8C6EF1E8EC6D5C9A7D435FA4D2
+4E7DDBA091D0C1099EA5F98577D0EA3C29504ECEBFFEAAF0F5F27C30DC89BC68
+CEB7715D8A74C19D61778570DB51C62D90A86E0280E3CDF943BA0B9719E3A826
+32A810EC6F29F970D20D0BC61494F8BF1387EB48E51441D248D72F134BD4B1F4
+EAE640FAEAFCA5

 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000


@@ -1151,6 +834,77 @@ F074AB4F8804FC1396686BEA79028700B316A2C56111CA0F749AC816B5EC4AE5
 cleartomark
 {restore}if
 %%EndFont 
 cleartomark
 {restore}if
 %%EndFont 

+%%BeginFont: SFRM0800
+%!FontType1-1.0: SFRM0800 0.3
+%%CreationDate: Wed Sep 12 2001
+% Copyright (c) 2001 Vladimir Volovich <vvv@vsu.ru>.
+% See the file COPYING (GNU General Public License) for license conditions.
+% Converted from METAFONT EC/TC and LH fonts:
+% ecrm0800, tcrm0800, larm0800, lbrm0800, lcrm0800, rxrm0800.
+11 dict begin
+/FontInfo 6 dict dup begin
+/version (0.3) def
+/FullName (Computer Modern Roman) def
+/FamilyName (Computer Modern) def
+/ItalicAngle 0 def
+/isFixedPitch false def
+/Weight (Medium) def
+end readonly def
+/FontName /SFRM0800 def
+/Encoding StandardEncoding def
+/PaintType 0 def
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0] def
+/FontBBox{-203 -320 1554 938}readonly def
+currentdict end
+currentfile eexec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+0000000000000000000000000000000000000000000000000000000000000000
+0000000000000000000000000000000000000000000000000000000000000000
+0000000000000000000000000000000000000000000000000000000000000000
+0000000000000000000000000000000000000000000000000000000000000000
+0000000000000000000000000000000000000000000000000000000000000000
+0000000000000000000000000000000000000000000000000000000000000000
+0000000000000000000000000000000000000000000000000000000000000000
+0000000000000000000000000000000000000000000000000000000000000000
+cleartomark
+%%EndFont 

 %%BeginFont: CMTI8
 %!PS-AdobeFont-1.0: CMTI8 003.002
 %%Title: CMTI8
 %%BeginFont: CMTI8
 %!PS-AdobeFont-1.0: CMTI8 003.002
 %%Title: CMTI8


@@ -1794,32 +1548,32 @@ B8976447E041618DB8831C03E5DEDDB117B7A98C
 cleartomark
 {restore}if
 %%EndFont 
 cleartomark
 {restore}if
 %%EndFont 

-%%BeginFont: CMTI10
-%!PS-AdobeFont-1.0: CMTI10 003.002
-%%Title: CMTI10
+%%BeginFont: CMTI12
+%!PS-AdobeFont-1.0: CMTI12 003.002
+%%Title: CMTI12

 %Version: 003.002
 %%CreationDate: Mon Jul 13 16:17:00 2009
 %%Creator: David M. Jones
 %Copyright: Copyright (c) 1997, 2009 American Mathematical Society
 %Version: 003.002
 %%CreationDate: Mon Jul 13 16:17:00 2009
 %%Creator: David M. Jones
 %Copyright: Copyright (c) 1997, 2009 American Mathematical Society

-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMTI10.
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMTI12.

 % This Font Software is licensed under the SIL Open Font License, Version 1.1.
 % This license is in the accompanying file OFL.txt, and is also
 % available with a FAQ at: http://scripts.sil.org/OFL.
 %%EndComments
 % This Font Software is licensed under the SIL Open Font License, Version 1.1.
 % This license is in the accompanying file OFL.txt, and is also
 % available with a FAQ at: http://scripts.sil.org/OFL.
 %%EndComments

-FontDirectory/CMTI10 known{/CMTI10 findfont dup/UniqueID known{dup
-/UniqueID get 5000828 eq exch/FontType get 1 eq and}{pop false}ifelse
+FontDirectory/CMTI12 known{/CMTI12 findfont dup/UniqueID known{dup
+/UniqueID get 5000829 eq exch/FontType get 1 eq and}{pop false}ifelse

 {save true}{false}ifelse}{false}ifelse
 11 dict begin
 /FontType 1 def
 /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
 {save true}{false}ifelse}{false}ifelse
 11 dict begin
 /FontType 1 def
 /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def

-/FontName /CMTI10 def
-/FontBBox {-35 -250 1124 750 }readonly def
-/UniqueID 5000828 def
+/FontName /CMTI12 def
+/FontBBox {-36 -251 1103 750 }readonly def
+/UniqueID 5000829 def

 /PaintType 0 def
 /FontInfo 9 dict dup begin
 /version (003.002) readonly def
 /PaintType 0 def
 /FontInfo 9 dict dup begin
 /version (003.002) readonly def

-/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMTI10.) readonly def
-/FullName (CMTI10) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMTI12.) readonly def
+/FullName (CMTI12) readonly def

 /FamilyName (Computer Modern) readonly def
 /Weight (Medium) readonly def
 /ItalicAngle -14.04 def
 /FamilyName (Computer Modern) readonly def
 /Weight (Medium) readonly def
 /ItalicAngle -14.04 def


@@ -1843,484 +1597,216 @@ D9D66F633B846AB284BCF8B0411B772DE5CE32340DC6F28AF40857E4451976E7
 EFB852C877F440D329172C71F1E5D59CE9473C26B8AEF7AD68EF0727B6EC2E0C
 02CE8D8B07183838330C0284BD419CBDAE42B141D3D4BE492473F240CEED931D
 46E9F999C5CB3235E2C6DAAA2C0169E1991BEAEA0D704BF49CEA3E98E8C2361A
 EFB852C877F440D329172C71F1E5D59CE9473C26B8AEF7AD68EF0727B6EC2E0C
 02CE8D8B07183838330C0284BD419CBDAE42B141D3D4BE492473F240CEED931D
 46E9F999C5CB3235E2C6DAAA2C0169E1991BEAEA0D704BF49CEA3E98E8C2361A

-4B60D020D325E4C2450F3BCF59223103D20DB6943DE1B57C5FD29DA32D34C95E
-2AB2ADB3F60EEB0600C8ADE15A2380DE10AC5AAD585FBD13097B1A7E8E210D4A
-EE96785449E07F0C8EBC2EC5EFBFD0897DFDC15E5BFAC9584D8DE95C5AB288CD
-8AD8B9BEF0B8E5F887B3B0B331542FC8184DCCB753DB6ACEEF98B85756B988DF
-CAF1AE0DBE7D37D5F44A2E760AAE3A5197C27B15E32275A64946C3E4D0476FD2
-7FDE148C788DD2106F7C825E270588AC05B57E625AB17BDD02306F9E5FC851DC
-32A5A6EDC43C770A71419B2C0C8074EF3F222C8A2097CD81A91F333A521B3A09
-482A4FE1CB231CE344AD126AA284C3280AAC3AD162CF0EE241BFB4C8F20502FF
-118507F5D1B5FD898571015E73E5CF2281085072E00D401F6F59761EEC3E8381
-1F26F75DB66C504AB6BABA87D121B1E7040A07AA2FE01F80DBC246CC03C4B2DC
-C2A715980C52B7F96BC1A78FCC7F4F52EEED5F705E08FC1E5BBFCAD121FA88AA
-8EBE58172C162AF409DBB0728F14923ED02A65EA24E5D52B6AD07777455A70A4
-61833D3789C719BA92E901232599767E423D5AD9C807670BE0E7B5CFF8256A20
-C7BF7214FFE0342809570F5966A2C43E784F35015D9040BA34FEAB6A6F089504
-3A40A9E9D711A2721D3F4998371430FB3C94BFC619559B97D49627BB630F4B70
-9D0A8FE4E916235335C3962F3CFDB04C4A3CF714DB5E260F4E66FFF2F27CEF2A
-D4AA26BBCAED23B8BDC98F8F453BA27AD7758537561E766B82DC3032E92A9EB0
-125D98A22C5466AF069BF72A9BFA052A8628FEC6A6AD0B711DFFEDE3AA2D7CE8
-34EA487038EF50F953B8B4471CBA6FC3C53877EC1BC94582B1123EDF44B4056A
-30F49394BDE22CDAD7F01951C7013D26979277D18EFA594E8F4F2B5E615187D9
-39E842EC28461B9ABA52020A127D2CB9002A673A435B13C10602EEFDBBA6BD49
-9DDEAB9E68D655443A5C2492BA061C1391A51592BA8C353A6F6A0708E8860184
-2B5D031D2CAB87D618E9F6F7A0BF3F66B3FD5A25BB91F7F1F5F99CFF56EFF4FF
-0A35C55658001ED2E97B26C869292F6274D433A5443179DBB8EE987196306348
-3F9E87C6422AFFDD30080C9AC4EE7FE5E2DCBFEE4974331F4AAE479FD8806D4D
-9C2B85FC69EB0453AD827A1E767E5C484BDFBF5C8D6E2B3C96298B390F22D757
-802643A79D5E29CF3AEDF0E12CFBECA4663444FC87F2027571DBA9ECF688BF28
-FF0DDB3AEDBA0FB28447CB4B5D5205F40C1E7A525FD7373392EEFFD910AC82D0
-98E71660A1B3227C4A2592F3E853CA4CDF64DF19A52582E167234F4036FAAAB9
-5446BE102DE2BF43E82F0112C2A20F15A3F92C6571AC761665A905362C4F8BDF
-AC8705519C99862CD9C0D75113C4AB5FBB83C880E46B82715B5628890D9103AD
-A2329638B95D93C4DECDC5E6C588C9D5183EE6FC28FAF9825F02DCA567306D93
-5440987A81B51EE7291107A08F201C609FEF91A8F0587E8B13D4BAF74A5A6815
-DE9E4441F46AF8E1DDDFA2D611C889614040B144A5EC064DEE4638C04EAB2E37
-4CA8F50FB8C4D65BB296DCCCD39F1F554CFBED96670A91F515CA10EF896874BC
-8EF48C6447752C70FF5A06F928DB55586354076773BFF7E94C4C3A7A1C1F421B
-A9B4E3936EC26E0C19BBBFC90F021E877F54B62108F6DD1C7F6D5B8E64FC9362
-E173F01BF2904B7E5A08B3543611562C2714099DE7D4FA330DB148B560A9601F
-42A84452811CE213DCE782A0D7809CFD954D6BC1EBF2BA4D1B18F50FA8174C96
-3E0120E266AD5DDB40B3F6798AC28CDC5C3C4BC34583528F5B5DC8A222B80B59
-A3A93DC715D061EC6915E6E6E21A25425C25E8747C60F170D61047108826F96F
-7830E220C108B441B6EA3198E33C49BAD8D43086E49F5A2BC7958A1A8CD011C4
-49045193394696EC3DDD0BE084E8F2E9F0B9496F035C0DEC1CE11409DF566428
-D50043CFF5CDD1092F6E0807E660B68163BCA738E8D98FC6EE3F713164CD204C
-0BA84FFF4F33F47BC31750B448603D7ADB9AE92FA91AEBBBEC0DCD66980E6955
-CEB425ED07115B24E40F53B29B9D840842EAC691B4F591F866DF27556474B485
-1C6F53DD72499847109B16C7093984A6B8487D4F3870DD517945CD90E648C1BB
-8A6861E540FCF9D75B984B5009B5CC760CBE297042C240DD624111670B703388
-6FE6FC0E89C6B4C88F51DFF3913D0CC1FB4770C8CBEADD4B86393605C0B6C468
-83CA5594754411B6FC331EF56D7CD6D247FAE42E966583C29239A8F862348D29
-60B177984B6B957E733DB4D275015691D91443BBB13C2DA96097A29733CDB284
-42F89C85A7A743338C9DD3BBC4EE53F695E5163E6E1ABE5791ABF100B198B9B2
-1C21E2FA2FB4AFE7F9BB2D381260CDD3A2CC05BF513AA1E80ED69FA27BC5ED5A
-21445BF00BC2F997B356D94AF13736C6D3B0613EB6F4CD96A685FEB672661DCA
-206105EDC3CA07900676EB2FAB37F48D2E8207BDE1463894DA3C5B1488AC1EE9
-D39DAF691648048F5D7A384B8927F8DA2BE3602669F71D80686E427F395134E7
-7ADCC611BA91AD4B7A0237213C60CF2C905359C90795230344FC3C50A22BD44B
-55B2044792509F50F5C21F53D9F9E9F063ADBED3AB99E2613B23334FE8DF70B4
-6120F2EDF69F50BE793EE145B9FF9C73179DE640FC2ACEB5C6617F918CEEB762
-4CD81E665B2E544864D13230B058717B207D3CC5D6647D5343DB4D0356082392
-871EFFA896631A7E0D6477942B632074A9A4EF7B09D4701B1639BAAB4E03A40E
-9B54A7A4F845CD63F88831EBFA4FB847847CB98F3455CB5957F2E0A0F5623645
-DBB5C5564C7F8B117D6E27E65C0F3EA81AE67B4AE4B201E7C4FB0A8364FE53F5
-41A7CE8F834C2C4B322809B353A5E63BBA7BF3B7DC1A85EA700BD287C2BD3FC8
-2832B0BB4695FC937FF5EF06FCD87DCE6DE793C2B1EE10E6450352C17726155F
-220D550B1759E15AB2C1D5968E52C8080CD280E99D3CCC0E80C2EF8BBFD96001
-A226FEED7311EFB4B67F424B557A877379A15BCA54780F0CD2CCA00400B9B39D
-981C6B552AFD2506D1B23618FA9AE6D8143CD7198A8482CB416CCE62B992347F
-337D505A4078713BBD91E5535BD58EF0351EBDCD749CC24D4AD39F8CECD7D6C8
-139756680A4C03A58B3374CEC658D30160AE4863A3938A891BB59CBE02BB451B
-1BA4B2B6E68AB61DEB85F95E3C909B8B66E220B9F18280161C279F10F7093CDC
-100A53D542F071CC0A5AF834DC1D18738F5DD62A5573E884E1FFD22BD810828A
-1EA47F8218C15A2E97CBC609927DA3CC2B802EA4A0D7EB57627C135E3B065905
-F97597D818A2C5CC6F328AD25AD11FA50F1E4FE637980B7474D6F85A521892FB
-72989AABEBE02A2D0EFE88A6F67AC29F5D8DDFEDAAF465C439983C6B84389FF7
-A6434462BEB7B07DBE4BBA61ACD4A60C55B5C0AAE527DE381DFECA2E6BAFDC8D
-310364ECB42CAFF72BA93C067B2F02D1CA7C34AE7CDC46787A0E234C8BE8A928
-7A6F3DDE0338FAD532A9886E8E3525B85DD39364AB03EC4C0DD25DC179CC1989
-1BE232E387E857C78332D834679195E10F1E7B87B7966DA3B2238F53D1E13FE2
-8F55ED6A92A750C7250C9B91E29796621E7E9520373214D7DA81B2875A986D33
-80382AFF6DE1F829F048E57664D9C4ACE91E4684A51023943A4964AB5657D610
-3A5405EFD4CFD1EBA684243E15093C9667797BB47617B66054EE02C41FFEC45C
-C1BAE8AD56B00D323FCB1D2744F061FA16E161988741A319B1564E04BA210996
-4F9F02A3268CABE450D166A763F5284954564A1C86B76544C5F5ACDFE0D758DB
-865A1CFCF9FE8CD5F9C3B2998C56468FD52DF8EE60C6935A3D221EAEC7714E3B
-301371C7DDA0B03A2416238F2B47BAD3A2C5021C886DF51C695AF9C87A864B48
-3BB3FE0B355EED5454B59B25A0D8A1B8CBD356C24F64D9B55E16C30C011365C9
-1E0380753BA3EDC0868788D5F50B9353D0227BCEE1BE36998B2622C0759BD66B
-E4444250589F9CEDE766D8B940770CB6B89503E925B35C00CBEC2873D2DC4A29
-0823FB7A3717B69A7DEDBAAECC067949932728E89BEECAA91DE3AF9BF070B9C0
-30EEFA8C0A55C8388CAA2F0515915C98E67FA095BB98967D14B0DCAFA9622E4E
-2E0EBFC768D80585ACDF28D8A5C2B6EE2FE7AAF62FFB90F569F84A0903996DF0
-C1D5723366C436E4088F3E2BB9B47F9789052A71CF5C49908CDC1DDA194BFB89
-14D7E3D7D4D72A150FD6FFD8303E9DE5A97A71B808B8BDF2AE466F31BF5D7A4A
-44F81230BBE2B456A221E2F72A8B59F8FEA8D31F8A005A5BD93B9F49CFDC3DCC
-CE2B67090460F632271C7157BDC2F05BC2749FD562FC28682A616A52D1B67654
-DF78B7843A9EC26A7DE2EB168F874904C2915B97534B2D4D9F74A9573A771D34
-9F7BC855E8F794621BF6AD471BCC347E2DF5F620F5C209E33A4CBF1EA85AEA87
-4492A77342DD33EF615FF34037D660B713C908786D9022051B825226545827A3
-2AD1B05D654DB6E6D261B4E8AF0933AD1F0FCFC7201E1A7C1B4199F160C38676
-21ABA2DDF1CEB655B3EC3226E0B122976EEA998F7A5241F062E54AD1DFD6ED26
-47C99A439E0AE95415059179867CDD3F0FF751F3141309F40E00A6C7C28433E4
-F649BCD5DAA64177580E05C495EE7BCBCC5FBF104DAF360CC2711386655B26F9
-D349D887EEB32ADE595241560FD5924A1745A22E6A01DB9C285EF14596EBFF0F
-03F36EB2E0A7C3864F819EF7B0855121292D49482F046A55CD7271FE03F02EA5
-886864D9D8EC22A68C23089EAEFFF03DED6484D8C341861EF8B6FD3C5BDF5AC8
-352DA4E13A1E30D0CB71E090E9CFB9AB2CAFD0CA7C34AE7D8E3B2EB4666834BD
-9CCD1AC2108348AFEF6071796F4BB2FFA4A67ED917E76A109FA2DC2A30D744A0
-9AE653A748C1D18FB52595D84E87F1C1FB6B2F32667FE203262C66627AEFFED3
-92B23861E5EB238BB4EDCE09DAE1C65BAFC198CDD1B45D42CDF93E16BB82D35F
-821E9E49067E966AFAB2AB52928F8DD6359984071FC37AA652FB834A09E5BD93
-3AFAE161140E74C6531E413E8FBBFC42BFE8A464B71EB1D8CAA93B33D7BCC3B0
-47C7EEFCD3E9FCF26FF9441DD9BDE68D77AD7251C06BBB9A2103049E8827CAF0
-F26BEF33F656A690235DEEC623CC519AFA82DE2AE16FB99F780FD7D8290DA40B
-9B604AEF36B529FD184239E7D50561A07428D28E51B55546590A1AEAD4B7F2B1
-AB8C5B9022C1FA03E33F8F409B24911AB8BFCF6EF4A8E415263C789F89063E71
-C0910DC20347469380B7FC1EEB87D4CED7F4A361E58B61C91AFCABA35C03F978
-B9FB5257C31657EE48504C355CE893FE3C553274C641DBC4004F5D5B879CC5ED
-D3F21F867F6DF054127067DE86189F0B59A1B90FDABCDFEE61423609D888EEFD
-F4A1367129962110C651D9481CEDDB8C5C2576A59AED64E95F7ED042AEAE2F7E
-81AC0C408E593DC30DCAC334EDE9EE27D932B98F040DDCD195D6155607DD2038
-970EB78221A94C52BD4F0EAC65F1FC10E5DAA93C17266F351669CAE56F42B68C
-6D01E1EA03AE554D63CE76D800FDD9CFD89F80A241EAEFF7EDFA41794EA25CE7
-97BD5028464D2CD45B53834B4AEF8BF0B9E7C6ECDEACEC887E8790A47A93F668
-A9095E5FA1116A122C0E5B74E2226C654D3187C6CFD8807917820423DA3EC1DE
-AA020EEEF2280C44A15209EE2F3FC1776875308CEAD38571E7BF889F287E4594
-971A83605E0B4169D4A23EE790515223DF8724054EDAD905F57918FC0BC64F96
-514B4BF7DC9BA79E763C22C977FB6146B10D26FEA1BAA7BAF21312F78D1625A7
-8E242D743471DB5821408AB786E4A7EA9D35E30E85533C617689F95758FB2C7C
-392E759C299DCCE36689686DE0C4DCE32649493650BA194A6208C5EAB670B170
-3F2C70BF0EF0E3BE2FB0A79224FF4ECECD6BB3388C6D06867A0E5E3DB93C1B2F
-464C23E44D3132E7D4086E3B59B1D13F49EB4772DEDF8EDC4F603217233FB7BE
-C13C28648E9AA51D53F11FB896839F97AEDD8834BCA53CB0021AE91FD8E95E2E
-F8A094093AF556B9639F508A401542B06821FF9DE1A745FE9AC5CACD5E8E1053
-911442FC15CA5333751ABFE2C617D38FA1DC332BFEF44AE569DC631C93EC54D6
-261583A695F5A392867A57F59B741EFCD2DCFECBC55D1EA5F2317601C9DFE9ED
-D1EA466210FFA905A8F85BD58B98991BEA58DFD1CDED5C9B086D42CCE632DADA
-147941917B879139E016B0DDEB8446BA017FC8EE5A354533D667B0835F5D027D
-C2D580C16B80B3D05CC92C0465CAE077729F0A15B2DAFC89DCD349B3F81D0516
-C65526EB5C10E45A8A85D716EE35FB9AB201FD7C89ADE5AD925A174169DA20FB
-61E96C73A143DF964C20589EF24A0FCFE6195317F2FA0D2249C0D8E649C3D9AD
-FF13332EA2E4C9CD36D8443EC8F027B61CEF92C6A6B72DD4ACBACC16E429A9A3
-F5F29C1631360E32F8C1C93ACB22F810B86D2969A7480F486F62F8488BEEC74C
-2C1AF13BB92BC578E8CD30BEA6BC8CB68ED730F54CED0167605FA76AD7B7E88C
-7AE7688E598F91C471BD65A542E96D64B1EAF19FB4F1234308C48C2DC86E2193
-11ABDB4C6189C6F201627C693691A86DD07FF55C30FDB3F72381E09C6080FD7C
-9182762E5001E30F52A216E0B71E4D2D4E2F3B20F95DF3A11FDB2D2B5B5FAA66
-C46226D5E0C77066349770514E5675550FAC9394FB27CD2C2F974F1FD58C04A3
-1EF53A8AB3B2202CCA1CEFA66228E1480A0709436C44BD3319C40CF888AE4692
-5DBBB52B15CF3A518F627F672135A24D5DB9B2EBEF04C860AECF231EBB5A3BF5
-6DCCD5E72FE4B6DD29E896691868A7DE4120AD06AC573F5608B8449B38E71CA0
-EB5CDA3F942482EA7973661170F81DC88D54DD5B92323F46F833DFA757107E9E
-F62A47CC50FAA1B68ED535C3E0E1073532A05ED339C8D70B3B9864808ABACD23
-AA95E9FDA43D54C66A675FA074E0A5B8777D3C07850A09087F36852B5351F35D
-8BC4DDFCA35CF29CD5E3DE118A741FAC4DED36847F2E2C6CFE08669301722D94
-376F540982958074E7F1383C409652F6C99DA39FE90B38221E75BC1ECB93ABF6
-B00F410A0C5651DB418566AB350FDA1789AFD88286AF3BCB42B98386F7BC144B
-02DEB8940D20A6B3062F0C4244EABC50923390064F1D027A8BACC3DE45156E56
-4A942D1B87F1C4A76B0D4D6801AE792CCAE3009BF25368B31B6AD5476FBD3BFF
-9759EF463EF5E78E10B7BF64005B2ABE0E8813950A08A1808587A98E0021D0DD
-751AD515E8278F1A0759E85D8A084490BBB0F8206484AA36388B1013643D3198
-3509078847BDAE08E76FA5BF3E3A73C323CE093DCC148E3C02C2DE1E26C94D5A
-40EC8308ECB02FF7DD04EC1005A2A0DC74D4E587F10A3EF349E828F69FD38962
-2F0C74D5DAB3ED6CC9F97008ACCE74C086A503948DEF1AAF58FC8BEC703CD360
-D32098A56AC776B1BD08442052A2A4EF6C8798F7CDC102AF1A2009657254762A
-0793F79A39DCD6ADBAA5EC84A7ED6018BBE727E5D477893D84F157074B24C13E
-8D4881C7DF8ADC13EBA0D89745EF93B7616EC5355600BB0D2B630AABA3CF2946
-AFFD0B2B724EF0F28393F2034B2E69DA5061426805353EB4D80E20739BC4C510
-6C45275B8261DCBA10DE1D104B12F46ACD230977EE7D7D1D35D2814139E38C4B
-CA6937CCFA653349B1EF64A98457F7B4B5D8F2978F16ECCEF7054905863AA46E
-DD524CB33459220C71E9EFA7845A3A760A507B3D3ABC525B35930B613710A13D
-098832C58EBBC8B0CA6AD516E6385792C59220331D0922A1F6F838A8DE13C337
-900462F952EABBDC2EB1FBF94A66186C177501453CD3FE3582073DD86F04406B
-41B6AEB440DA475E13240445D46726A6D45185D56BAB8807CEC8A8F7CE1AD149
-7CE2E1BB5DE4E5B9592241DD136479A65905FD0062C91DFF7349874BFEA5D9EA
-2F610ADB9AE7757B2307A1BB9D6797D9F9C4844A59841C7C7682105E23A374BC
-A91885E7410F56F60C29AB8B417E2D6092F8BB70A2DD5DEDD4BA1077D7CC62FD
-EA43428C6F79C332342E15F75B08A1ED360B3511F823E75AD49BA7AE63B19238
-2AFE8FAC2715E2FDC895E95036D23127557837506A3B542B0E4651CE2B89C252
-31EE8ADC26E2C04E8E30A9CA12F066CE01953BE7867171FF6C7E834742C36C3B
-58E74E4B482CB85FD4D24DB03D753F260A585D552CDC9E1941446F2F5B45FF24
-2DA4932B973139F328E7E92828B900BFD398B6F41DAA0D6861C66AA7F5E3299C
-87A5925CE0E0F9E09AAE0792954A1F2C0AAA8288DEEFFE579E38A3CE8A943EB4
-55322A87C1634074EBEC25F724DC1BCC1BC10458CA6C4395659B0DB6B612C151
-557CC669D8DC37769E59A5AC6BF061C79FEE265DBB59520EB8FFEA273601D1E8
-2984B8AE31AE343F37D03E2BF97DC48AFE50BB6138C7B9F9B5E28672A37BD8F5
-8F8C98DC43DB22C6537028798198E2D3B0453ED72487267D653DD50F1BBBDA92
-833A987A95FC1F275B90B581B4BB62B6863A4CFAE37F715EDF3EA5A33679FEB6
-4847ABB4B3D170C275B9F1AC3156D731198DACE0B051674E85B758500AC9FBEE
-ECC75EBBD85F8D62AAA328FB09C6526F853077AEF7EFBFC2B6A29D6D508B1E19
-EAFA4C67EEE44045B9F15B9762B3DDF5CE5C18B23A5C2F73A1F6DF7F8679AC39
-2046EAAAE81E155E2002BAE8B740656A057DD11336046B5DD23AF13B20408F7D
-E2E0C6BB799011E932CE3B50F0179B013150BD57032052DFAA4448CCA097C1FE
-B8776D7F800C040270B499862D6716DC253113ED93775BFEF4540A9941FF240F
-C0DBD2A65EC6EFA1B8658C35D8171F1114677D8A1792B270A469D68197B65DCB
-42CE6B0DDCFC5D114ABD5949AE733E66F7FBAF466136460A8ABDC4FB7A6B0BB9
-5D213C9FB4E943D5A4A38A97F0BE22AFEF4406654946B67B1F507606AE4A6A86
-F7EECC222CA705C035DC49777BD0ED8AEF27E536BD4963C694A57B12AF3CEE45
-979BA69930DFDBE349FB331AE9EA757854481CD1B3B8E5EC8992A8F69F5768A3
-9B5ACBE7D7F96763D892478DC40776164D7B4054DD4FED1E8DB315795037F147
-ACA5B77E572A8DB0D0565F05E271CF122E3770490B39594F5CF483942A38B712
-0E8EBE9417C4AF1E4E777C346D166BD8DFD5C6668C60E43D71307EEC9D6E9C1B
-50A92C167410497DDAF85848163A1C551E3A788BC4F4456A6F28FF39B59D8892
-7CFD0276CE94CF640488B224D482705F56B2AD5157F9948C3B3CFC19AE4603B9
-FC72E8D0AD8FDE363B6A9BCB529BDB99FB803740711C8831F1EA61904AE77921
-60602D513A02C32E6CB03E42939840A48B2514EDA18306EEB0A99A97C9EB0ADA
-3BE9CB686C2A5820F9E42A825863D9933DC6391A5E0D17D3819D653996E0D935
-A8267B043DD1A3092153DE6F8067C58C8712EA3E1B749EDFCF8CE3F27E6FD2A0
-1C5E47E6EE3B8131A093DD199D3E8AA43B345287C1026BDA76B3F22E9E4240E9
-2751C6A58026B8176BAFF22DEA8BE3E080708CE77654C6B0885AE402F074909B
-B1FD1702A6A0A5C957CCBC6F1E60F5EB9BA2C66B6D6F1B74EF88CC35979C2DAE
-262EEF65CE3047BC9F15EF77B7B62DDBBAE24D011A3611548561CE7D970E9301
-599EB3069E7F9B9F74DD3C914D1582C1F1FCA627FBC713388B59E07CE7217A72
-19757DC26070509AB1F2082DBFADD82E418F28475BAFE725CCD5688CE4A81CD7
-8714033A114C52D0C764CC58C6BCC00A1E978A5B210B886E72373C7449ED7624
-A9E21BC2A5E295D538594F46BBD09253B2710F11205FD7AAC60966D7E988A465
-D537DB0D69BA21183AAEEAC1AF2BB1B53AD2A30E038CDB8D8524F4CA7D936712
-C95C5278DBCA8C835508CD13BAC46B98E96323C7E4428D2EE110456D5823BDEA
-D556897E956E980F66AB4F8DEF99A76A1C1D23F5743C1A0F2757B428D0D1CE87
-ACC35BF24F75CA073E098834462425DAC6B848A9E360B87CC341B05A1A32845B
-CE565BE7229F090F7541A18272CF1CEF19AF71971E3834D3E11EA3990A717F01
-A8A5E8EA4C0229C5ACEEBB2F6BD53D04CE1FCA973FD39629FAC04177F59C99FD
-7F840E176573622D9442940EAFFC32798D7E8C93BFF296C085C8A8224E49ECD8
-9FCD91D0BA14E6E5D0C22CAA7BC9EF0ADCAFC55D0DD4A0D347E4A1963D0FEC1C
-D468B826D30BBEE98C43F8F174286D1D01C71B31632A246A575A50179CD71A0D
-09DB48193C7BCF2C45D8D600DCCFCB30A6C2B310CBD318C842551A2E2754B6FD
-616E99E82B8306C60E0D6662F2E8634A15EF05380D2D14ECCC60B086EBF8E79A
-C7D66A493485BA06D0C4A6F85B44272CFE1B1C5A0BEEC55D1F35421C44BA1753
-182AFEDFABC0A3AD65A15376EAF2E05AF55B3BD486D30C673710365625B3BC03
-AE0250A42137AC9100A305B51E03A7A724E4913A1F77EFC25D9E80AF202A5C01
-27E24FFD8AFED6B90E2415CBE0BC34ADD70A4B029A824D7B176B0A481CA9F187
-5DD7504608DB5280BF58D2F18A6241D5B85F660FB18CE77E52A68D074980DFA7
-8F365138EF79630D7C5B9908136F81955DBBB7D701178797F5CE0444E6BF8F46
-D550FD4391149750E035DF08782A5C21A15F478C3B81E914DD52912F3202831B
-68C22932CD00260AB55A30055148F5EEDA089786277E6A2A50053209D15B6119
-189723D27370A8584CD6EF58B950DBA939E8A8C869FA105434
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-cleartomark
-{restore}if
-%%EndFont 
-%%BeginFont: CMEX8
-%!PS-AdobeFont-1.0: CMEX8 003.002
-%%Title: CMEX8
-%Version: 003.002
-%%CreationDate: Mon Jul 13 16:17:00 2009
-%%Creator: David M. Jones
-%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMEX8.
-% This Font Software is licensed under the SIL Open Font License, Version 1.1.
-% This license is in the accompanying file OFL.txt, and is also
-% available with a FAQ at: http://scripts.sil.org/OFL.
-%%EndComments
-FontDirectory/CMEX8 known{/CMEX8 findfont dup/UniqueID known{dup
-/UniqueID get 5092764 eq exch/FontType get 1 eq and}{pop false}ifelse
-{save true}{false}ifelse}{false}ifelse
-11 dict begin
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
-/FontName /CMEX8 def
-/FontBBox {-27 -2955 1546 771 }readonly def
-/UniqueID 5092764 def
-/PaintType 0 def
-/FontInfo 9 dict dup begin
-/version (003.002) readonly def
-/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMEX8.) readonly def
-/FullName (CMEX8) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle 0 def
-/isFixedPitch false def
-/UnderlinePosition -100 def
-/UnderlineThickness 50 def
-end readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 16 /parenleftBig put
-dup 17 /parenrightBig put
-readonly def
-currentdict end
-currentfile eexec
-D9D66F633B846AB284BCF8B0411B772DE5CE32340DC6F28AF40857E4451976E7
-5182433CF9F333A38BD841C0D4E68BF9E012EB32A8FFB76B5816306B5EDF7C99
-8B3A16D9B4BC056662E32C7CD0123DFAEB734C7532E64BBFBF5A60336E646716
-EFB852C877F440D329172C71F1E5D59CE9473C26B8AEF7AD68EF0727B6EC2E0C
-02CE8D8B07183838330C0284BD419CBDAE42B141D3D4BE492473F240CEED931D
-46E9F999C5CB3235E2C6DAAA2C0169E1991BEAEA0D704BF49CEA3E98E8C2361A
-4B60D020D325E4C2450F3BCF59223103D20DB69434BD2F5E5797D7F4FEA000FE
-159B5A218491B12387DA75170AE5E76A19C5DBCA6E00006B10FDE94DE1458C4F
-C5CD23D0F2C776CFB1620DFD5871073A7AB1E9529BFCA1F4AB3C37AACEE7E221
-BF25BB593187B1BE5ED1B0BE42B7C478F7A4F8888185986C614B8297DBA685F5
-910A211190E057A9255A4918F18696959852F12BCF932406DD4CA91EEBDB8842
-A196BEA74D5823366DC21733AD302EF3823BB5864B920436FB7044A18D0FF4E2
-590E0BA59DC514E52811288535397B7C14241B3956EC3C0EB8F82C01502DC8C5
-CA316BE526B77692F345A6F87A892CDE9EBF400BA4D4E5B977B8B20C7DC6EF8B
-F92F97FA5282ADF3D892D2088D8789456FCFC525E7A013B5474981C092EF378F
-99C384B24053446F67C47EE66A48CF25B81B06E25520218CCFF3668AD82DFEB5
-74FCE23AB370D2EF6FF0DC2DF177D5E313B237B3C78F873E5EF29B9C60C702D3
-43523D9339B7834FD5B1323415F01DFDC1927E22D6CD8414ACC1E44C2363C073
-7AC179A68B9A90940A9BB51F90343A5FD34D50ACCBC2AD50009995C02136039A
-44F8EF0B422D03CA6EBC6A15F83FD71B41181B3A3D0EF6B5F11899E296D755BB
-946F90F9DCCE93957BC70B0D435E8851BDF5669580B775B7B47BAACB0D0EBC90
-6CC4AEE47E88D7BBFE85DFFF6CA0C813DEEB83A1DCBE6C6B0EAE653541E1D10E
-EDAF6811897DB1C29ADCB0B6535C9AF19FA215029E9D439AA0F41ACD0F409BF5
-C972DC4DE3A32F14E44913BA38F7AD0CE012AADC55F9CF999B88E1494C63716F
-83859ECFF5DCC2A7311581A7E49E9D4C1EBBDDCA04B36B2F702A447E87248AAB
-9C6588F3456CF1170C6E396434C7E1623298ECEF255833BBC1C160398D8F0E3E
-D5ECF18AAE07017979602FDE7B01C48C0B1589D72A2AAC6CDD629FB3DA7EF592
-E26DDCB4AD5461111C8013FE5122490960AFB50CDF470C6B2BB6DED1FA25DF71
-E8640F73E0AC342D8146370D0647E9E396F9336FFBEC7A385427274B66F25512
-A10CD28FBFB56808CBB99D5F417ED1A958A7C150FA57CE9F9DE7086AB8D7E546
-29027C0DD4662D727D01DAA906C4DA4E102A1913B9042220D799C9E41EAC150F
-EACED2233CC593CEDBA0AFF6E94604F927C664B4641A194276A9CDB537CF7D49
-593FC3A3B5FA23D5F7DA633EE0AA00D1C5F720F4E79450317E361E65BB099F86
-1B7A7A0B9B0F59385B3AF900E5D067A0A41F3ABD64ED547C94C3B527A30C57A4
-9CA4D5DD664C9A5523E148652B598A2765070DDA659816B9B1CCA881354B05E5
-84E3359A23C8C2047C6A9C7D3D9488A3B42A814B40E7B2FE0FA29D4443AF347E
-6523B513FEB18A29C86A5BED24D4F22C02B38CF6080D5748FA5241E7FC3472F9
-335BFE10AF5FFE44652C0ED57DB3CDC1D3419DB871F5698EC5012348DDBE2292
-E2802CDC6A555298B70F42BD90100FD5193A27DC081000C6E668423F7E5973B9
-6DC368EE1BED9DE43159DBD84568C28ED4FCFB36E04B43F9364FF8996359434D
-11A62213ACA160A6059F5142ECEAD97014EDE4BA51638B64C0FECC685DC54E1A
-4B3F9A043C42E23EF1736E73024CC06FD8B5C6A4FFB4120D5CC103573A7C2957
-47E156F497FDF20C29122807A9EF61A31A6623CA02FD53EA725D2BF261443071
-E97D513E7C5C5402D8382B9A7C58B2EA2E21154165BF403B0D99B600AB513710
-0F6C7B1E3D52E7D1FE33B518AD00AE88F6F09F594B2DB8C99A39D6FF94536B72
-5008BBE2711E4C26609C384EA58F95DA8CDD148EC29E044E619A305BEF924E15
-CA0068E8EC0A80014488B25F1CC23DF9E915A4D22D7805E804617BF15593442E
-145129A36F91535685F2B4D6CCE0145D1B7E69C5207D43193CDBB385215A6308
-0E9F47F38B35A11C4D3FAB2D90F0529C7C6FFE80EF52FE19457A57B1350FBAFE
-AA4D442D0B210BEF14E576442E29B16B731CA81099EC4B97287DBFEF5BBBE2E2
-E139030E2C96E910E08D556802519EBB306B838956C4F435302B913702B6E277
-B8847F5BC9509F7AC5CF76D0367F1408B47DDF9A48B2281A8EADE603698CA41C
-45B6E1289F5B00A8A42996D78AA517C00C044B2AC37D6FEF6F54AAEF93907472
-42613910390ECA70A50B9A4E6AFEDD45CF5983032C06987A5930A723FC972FC4
-CFABD28EDFA6A0F25A837E05B626BD3AA62B43D078C36D1A19244BE39C82A6D3
-F818F27F9411FE17D441BC33B1EBC88984DC690C7B7135EC96F85E7101A76ECC
-A0B9787379CBE76A75C1E3723000793B50EA4472CBC70776CDC0EEE6FB323E47
-571AA22D50A084B4BFDFF544563115CFE4A9A14F3F813E9E66896848E556BBFC
-7B75D2BCFD00C6EACC7DC7545410E97C6E97009E1B1173BFE306F3B440888425
-8ACAD6C1A8987FB5A74AC828375E5F7C1F896FDB0CF1D211E6F7B3A9742729A0
-C4C874927C837411CB78F94FED2B58F0B804EA2633AFDEC79C69129E882BDD57
-18AE1347BB649A5DFDDFCB95CE99EE918BE24A77974FC26009E8250B803803CD
-B353CB58A6C419E607C06ACE3BAB3DFDFAB1FFC831ACAE84B9EA40409257F37B
-9358E2460D0E486AB3E564E9B0F485B1ECE19EDECCD2D06DCD36F019128274BF
-C6ADE491B615755C15233E17C5F4CF01B8F945B1FF3D87215751F68115B1D0A2
-64022CD479B45E54413A09F672B41ED2A891F2A72914A2251958324C331D29C1
-F1DEBEBF4F6CE6414ADC85610CB732028952A9ADBAB7BD539C97A318EF893ACE
-CED80DD2C9B8283FF8F362B72DF96C3012DA7BB9C2A061F30F173194253C52D5
-B588666BDA792DDB21A3C35E55EEB5E80D65634CC0F48C6D9B75C77170329FEC
-D8957906286FD28579655F4FAB45F60E6A83CDC502C7A2904BE9E2AAC4D46DB3
-0D28A1417265E5FC36392780F78B1A529FB20CC254441E11A0708B0E624C39D4
-16395878D671B49D90852325984158877201FE0C4FB50B3AE7606AE4FEB98985
-68A67C59B1974E6EE00F0DF374D34066240866FCC10054FFE965FB72649A8B84
-363C52B7D9064C71F0611946E8903C0156E3D068E67F028371842DA0700EE65D
-57B1A01C66875D0C0988EE48ABA9A157DCF6032C1D32D47C26AAB90768EFFEAD
-1948C3F128DAC76CAE4CB336E5847177A5951B8BBB57851DF1CDB2456471BA5D
-0156A6976852AD2E6664DDB18231B9C6839F73A8FBDC69B5E3E0149C89CB7BC5
-41442BFD2952603A566E422D850CCA21309AC45118595A09BFAA329C51BF142A
-5948DC42F6DEB2B509D07011C54B8046D0FC615FE428CA94BE9B5DFC065ABF3D
-E29E387C034C054333689B759B068ED909F8A42F3ED1A7781F823ED1B64C14E7
-9918B35ABFD059CAC9D6E0B74DBB6873DC2FFBA7574D97E75A51ED60DB90D01C
-B133695F6BF245D4E3DD067B66F865EF35A25D544397E3A178B985223ECCF031
-0126BBC3F7FAE72FB34031BB895CEB6F8FD48F394E59E537C59B9DDB4D89795E
-0A5E927533016F27E4B0AEB97C7741EEC2C0D65E1FEA1B2877F4BB78B4FB2F03
-A67CEFF6ED8A8E6B04D5EB84AB32C0C01BBA284D631D6F30387081A9554EC291
-570843DEBA4594E4E41F45F692A0D1F109139BA928E1D2C5CAFF42FB19985F08
-83AEF3B90F9022A410B405944F45D5773100670EDC61B3D16826E09AEE4D7DB6
-21E2C910C720DBB4EE2D13674BDC656456362D4D0BE44340C13B1EE3CD953701
-F6EFA15FF13DEA7AAB83934BAE4CF635262219AA08518DFAB2B269FE4ED3B1DD
-FAF6739ACF716A8A1B501BEBC7A58C843877F7671AC5D44A6D5C650B7C9974E1
-4F4D2AE9DDA970AF509DC9E8A3E9A855FCD74A5895930848A2D9B8BBC58DAB4B
-B2867DC1E146223FFC65263FBF1D8E738EFC399CED91EB557918A24A195E6C52
-7303669B61C47A6A866C516BCD0AA8B50F3B5147D4C63F5E5DB1748C53D770E8
-A6587505ACA9F94A2EBFA6188E1A7658C1DAB3FCDF504AAC0557DFA767B7CAC2
-D15AEEAA7ADEBFDD9361F8249D0A9927DB669B0941BBFCE5BE09D90B67B3037C
-DE0AEA78515D67CAF632775E2F23DE09FFD353FEF9645FBF47092778D13FADB1
-9A96BB7E6E7DC15360E061001943454CBF20AB1D42226573AD618BC3C7A28096
-59938D745F273D16EBC72A7E2725C8DD94BFD5A434AA08A66BF85F0656938C6A
-4C4F61F296CCCCB50531A7C64A765C9A11316D98C9CC5FB7E0D5054BBA36BC58
-1C36790965F79177804FFD03995CAE977DE76BF9B144104829879DD7CC321428
-437623F40942F8A3E5741C413996F0F893D1C0801A8E378B55B84BF37182BB3A
-93B0212D36760B4A6B401E761240486FAD5ED8D466C19A74AA5BAFF937FD8229
-8286D10F237114083EFD19C1ED7BA45AC2AB3C7F7C14F36FD739AC20911D8A00
-6A6572ACB056FBA53783D35B019D3837B6C50256D0613F5ABA2B2C864128D532
-4194C1D01CD1B5F6F846F840F7AA5A51837302662CC0D4BF40CDA39D0AB7654E
-1C746AE24E5188D18FFBC699DF5F4CEBD01C6433C0DB36D106136345876FFB47
-B6C9F4FB92A7EE031B8FA3A409884A68654EF0FE2FF7BB5FF7EFDE9D4D97DB26
-5BDEA0ABC8CB0F0D0C8047D3C62C0BE3776A614B8BEFF53053085F93FDC3AD85
-BB4BBDEBE4A3CCB9E97ACF614EA774377E5B2E5BE5E80F2A4065AA3F58FCF968
-90D585CF02A4D2045B46A916BA617BC7DD4477DA4AEF6FDD19C4A3F74EB25DA5
-F610CAF581494B7C35E14FAF63741B9202A95122FD45D3F6DDB437AE2067B724
-0115EE2C865D640F898E94FC02A0237C7CB86772A96E9B22F1FD1A34FB24E48C
-6934BA544E3262DC0DDDDBD07538B883C8A23BACCEA5DB8AD256899265E7D6B8
-A343966118DD11D3F5E3620EB64ED247BE2EF023ED90261FFD6401A63C40AB8E
-2B0E892D7549D7A2C80ED6AA149E585C7B64499C9F3B50B0BE1E059367BAC927
-2ECA5D12524771D6B8B461D76D716CF85966221069E6C42DBD6B40BBAB224670
-86E036E9A864C45194864234BAC0C3CF01BBAFB3075BBC8E6DAD1814BAAE83D3
-6E7821902722F12CCB291FA6C00A8286FF0DC5336D6C4A2F1F9AB6DF930581B4
-509081616C1DB284660DA9527CEF6B204AE1F1B0F857D47383FCE583574B389B
-AECB71C48257DE86AEFA78E9BE683FCF4041D81F6200D58478CD671A735F922D
-B1C7CE0A86F64A347E9F9521218BFA80A5C83ADE0F481A1F51AA923F89FA2085
-A63621D899E5E9F455BBE845D68ECE3FFD6F5913819EED4472DD90CE6628EAB1
-4073FB5172819EBC88D8CF7475F912A80824962A351A3590B7EDB6BD741251FE
-E445F5EF181C5D211B92D5396A82E8BA861C9BCB69BCA8F1B82F0B5518F135EA
-0DD56298E4B81958D7B9692B6DD69FF9E10FEAA3E15FC0025F44CF4334BB4EE0
-0FA0F28FDA7468A045846C28D98453CBAF6210843BE614BB6842CC720A05B17C
-B81B940A65ED94B8D14F52DA2C8C610989CA282AD652058441EB4C10D3FDBC6A
-A500478037DA5CD802832AD11DA855B80AE92D919925D45CFCBA526F75991D30
-F9CA64162FD0A4B7DCDF7351FB57D3A0889E38188E772C8023C742AE41F392D6
-B344D3CA860BDC1BBA43ACF7E85D960B1C64F8E501A80BCFEE7BE26325199816
-FB148FB64CF3532B8780A684BE51FE5E11A7176177A1779B07C17977D1D8C9AC
-77DDD1528A9130F5C0F5822DB2B32D9A81DFFC20F01CF93C8D8B0DCB0BC26726
-7463109DBE2D5A4023DC52915BB0759D4C2A1B647E945069E798B96E16E0D5C5
-A02DCA4FB500E0893B597C4B2278C8C38DA8595E527218F0EEC1FC1C693FBF9F
-92222BFD9EAA52E26567FD27B238C8EFA8C69AA32F4D770B1A99AC019351B687
-4A274ADE23B064B2352DBF87EBA68E81475AA4FCE0306175CEC3E344BD60418D
-B8C1FCB03972465125623903828372F160EE0C37138C9F754AB20D741EB85E0E
-D3DB70D6C10E92F73994AAA1E0DE998170866735F07A5265E0DB985646586861
-DCE60869E5083C4FFF83528A4938B1AB97E2F6D9094A21C4C9CBDC24F8B6C7CE
-90E48D78206E240D2D364FD74A625AFF645C266CA26E65893DF0C117836B36A3
-20096906080DADF22D412E56A0B569ADE1EF4ABEDF829AE7DD656F03CD3E62C0
-8C7ED16DADFD8181F2C0BEA835A27B1259D0C6144B8C1568274947C95BB3528F
-A6FCD7D262E6D9D3FF36CF88804F5009A0A3885262800D41F8B8B35C546E429E
-817400CA0BCDB40296DA3CEA61696459CEAE27F4C4FED9EF063F95770E40E3BA
-880847F0E05CD73645512DEC36AA8F689129DABDFE736BA16EA105A21393AFF8
-A9D654DF4F8CD1A0FA96240B393CDED587899A344D73BD3A2394708939F16364
-E3FBF622A4AAFFDAA523F13D22A48F71B6E8FBFF7994F235FC6854C8776AF855
-B83445D9FF919B1D8C57135FA28BF2E881EBE6D639DECE16F21A955F898E431B
-045DF6C59388E0206624BC46EC19634593E7311BF1F164671E0C3C1E7ADD7E12
-63FF8BA18F2F5ACB813D5F86265400481467A54A5917047F1089A426B149A23E
-C59592632CB17F0B9C30DD28088708F1C0CC312FA1BD71AE66E2D52AC32C4C01
-B91CB6D5683D46A4C359E34822690921F8A6A035AD844130CF262809E490C2C1
-D67AF2254D1C135185DD9395DA8BFC6C0E0ED3237CDA46FFBC6152A503E3F0B7
-B1226B234C3498BE76C7C84AA9722D0F461086C01737F2FBBFDDBC19C6ECD252
-93CEC4E513CB7F33B1CF13DE94EDF7909F3A82950DB1E6F50957625229159A8E
-E4A5C3C263B34590D24059C41C7112C1085F2DDC8204DF97705CC5DAA5FF8D8E
-FA85D0F06636C8D56BB8040FD345B1A75813A5304C6F33679C0512419419FED0
-6BEE1E1886B62BA7311D4048036E696FFD2943A3865330D31D04F5EF20F05ADA
-BD4050CE3160E16B78206FF25F9C5EDE856D3852FF2FE92B18952BE118CA6E1B
-4650180677C82AF1F8D3583F8E7A68151541D92FCF9D758AA72CB3334670B5B0
-F2E756EAFA60E78C76D02E89BCA7E89F22AD691D498DE0DDCE5B0293EB3E5A63
-DF14E70EC4E9CBE2FF7B696C1D4FFD41869955581DDF6DB0F7C95D05F8D73CE4
-8D3FF547EF46F3AF3C6F4A943876F6CB34781B1BF1E98521A316A76052205898
-B3DCC124B23718928258B81F9155399A3FDE4BB422475E5CD0CC4E67E4C7826C
-CDE0553FD1E8AD70DBF5531DF36F8EC11357D40F022D52471C5157A2FE93B457
-C04F556B23DC867D030FC1B37DDE26837016832C0CF175BD81B6C42F14A44B85
-A877D3BD78D692F82E708F5448B162D8876C326E09F23EAAD2BEEC42B3400A09
-7E3DEB9557447BFD925CF73DDD8A4D0D5B309C47BC61BD82345607CA143066E1
-1DE8C50DB1A9EADD6A9FBD5A13A6025020A597046F828025F96E47AD50315FCF
-6663356398CC8B4FA93C1AA753A9F735654EBD0F9CBDE098C11B04B28CC59D70
-A0C1DF9DA3F5C79A7A16809500195C40270786A0C1317919512048C2B0674C5A
-8943A02ECEAA258D119D6E93DD908AEA6A6299BB33EBCFACE16B5EE28B7196A3
-F9CF2360D06375306BC047D8A8A6354150AECE1B6131A2B31F1C72FE37AE7845
-E4506C09864A10C33ADD9FC3DCBAF784D79C2F0D3C99E273148590FBB65F989C
-E183474FFB48FCF5A4442342E83B8F4AA09F400EF4979569381B16B346CC0210
-DCE05E331B88807B579BB6A0C8F69CD919E3119CA57D22B3556C05BBFB11C932
-1ECB5436E269AB9C85DE5B56090D619C6B91C786CB8451B4CD5E13CF2D497334
-DA63D2462E16F90632E54F8CCA66D13A0DBB372AED1D1A475A6467B054687562
-A3BDC35E45393C1AAD06EF339B64B8E7D2E48D52BA48AC213166DAED77585535
-0D98B26C4946B2A6DD2ED906BC5AF2E1E77186DB832F6EB7D91ACFC9705762AC
-305E5DD7B64A2A67A79082523B73830BC98547C6649F97E0E37B56DC4E22A551
-62E20B6F4D2E1FC236F2084DCB3C3F1640B0C3657982B0F4DDB0D1511DAF1D66
-6721F11601B51740F4A97A6861DCCF90AA71EDD47789B05A8C202C58DE56D6DC
-3F0233611A6A981DB0C6D6EB96D9E739F746E2175EE36E086E6EECE2E4B823D0
-3A00366B2EC54BB29FFC97EA194327020994285BA56372FDB46CB23D429095E4
-66066E5A2FF8F58BFE7BB9F9D917556411E6F40841A65B71665C4CA7E0F02E10
-09F931445E599286EC3EBE94DED9894F86C9146029C00A5F71F75EA7FEFA3B00
-FA0675C1599A821ADDE0CBD7178F45EC4713256C2D630942577E9927A6BB194E
-D9E2CF5F0843D6DDDB76A66FE18E01AF92E98A441A7CE0D52BE7E9A809705F6D
-10ECEE29700B6A174DB98C9CCD1443F182FC1C33E62F729DB8398EB0EC1AFCA2
-058B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 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000


@@ -3122,7 +2608,6 @@ dup 55 /bracketrightex put
 dup 56 /bracelefttp put
 dup 58 /braceleftbt put
 dup 60 /braceleftmid put
 dup 56 /bracelefttp put
 dup 58 /braceleftbt put
 dup 60 /braceleftmid put

-dup 62 /braceex put

 dup 80 /summationtext put
 dup 88 /summationdisplay put
 dup 113 /radicalBig put
 dup 80 /summationtext put
 dup 88 /summationdisplay put
 dup 113 /radicalBig put


@@ -3309,70 +2794,67 @@ EF37BB62356F9B2DF7F5899A26F1FE0A3D6469C1034B8AB14F52555EBF6DC592
 4D448641380A096303493D3AC7E24AEBCFD27811DD1BDACB1A0C0E1BDD0190AE
 B798B8DEAD9C354D1ACFA95F85FF17C6F616E761C946A648F86773E5929E1BB1
 D4C4A070B9F1CF4487E0A932F4AF6EF4AF6A4644A4AB3663E5379D21E8CCF339
 4D448641380A096303493D3AC7E24AEBCFD27811DD1BDACB1A0C0E1BDD0190AE
 B798B8DEAD9C354D1ACFA95F85FF17C6F616E761C946A648F86773E5929E1BB1
 D4C4A070B9F1CF4487E0A932F4AF6EF4AF6A4644A4AB3663E5379D21E8CCF339

-0A5561C5306A2987288D21629A0561D31469D331E3696A9D848A83B06F5AA56B
-FA00D4CCC29AD528213183D5739E61842A53247A6E4367F2AA3D7DB405A84D13
-C24AA04C535CCCEA78A3E1361C0610AE4D0673FBCDF58BAD19355B46BEA8C0CC
-A8833045B7831F99775D39228580B2A86CAE9CFAA9F49C7665F229561CDFBECD
-01DDBB4F98D3EA3E88EA942ED9FFF65491B20BDCB9D85711A3EBFDBD5DE14A39
-1C537D3827670E3D9CAB348AEB62A3AF448A09E1C26E41E848DDB5E3552DA334
-FE3FA6A5D3FA31BDE784BE705DDDB9AE7FF917A5DF59B36CF17817203D284CF5
-E9FFCF1E133916F3E41E3AFC09BB05D43C253D94FEED1CFDA18F88CC3A25E5AA
-B87DEB0115A8FC053D49BD38DC1A389B878B8FA957BE71D197319E2640130B22
-8AA73500E2A4D65600048B385EDA9F6B0A35193E995EF2C295A4337294BF0028
-AA79F5CA7552C7379729FAE2BD195BCB6411238F4BCC4BAD1232200B6BC987B2
-FA9E6EA195C345A30866AE10BDB08FDE0B9E522FEA0B8B632DB7ECF35814601F
-62A9F600C1D901F0A462A8A46F2459028ABB0EEFE19EE6643279E050C9FEA8E1
-EFB3B59C7393607820188E44EBE301883DE238F5222B7A092F342B8315541B05
-8338C14B1026DFCD6420C2417F698AF430604E028A659E4DF279C00AE4886B14
-8E3E1EF687FBAA190CF185FA99BA638F1ED90BFE92477F21CE4163A7498FFDD5
-1D4D378D753DD41892D1E45BAB04E39E4976E573973D74E789A9037C8FA58F5D
-8359C4BEA07784157EAB031B16F9B8882844FECA9D11817CB7E6C9492C2FC9F5
-4F92BE78A2F84FD5254B8AA7C65C8AA1632E137502EE0EE0BE817CE35FB72A98
-EA72B8F5141424A3C7BD7B5576D94859A89A8EEC21CD1C4A0344460EFA672501
-A739CA4BD01833498CA741CDDD9F45444AF1EBC759EBBE18EC8E0CD960616A6E
-E4EE457E805A5014B0D26661AA88EA972BB8BF27208EAAF229135CB0A297A33D
-E6AD11855DBAD7DBE0A99DBEDB1CE18A79BFC95D5D5461EDEEB231D0477A2E0D
-4298A2F54DF72D5063977B4F917818FBCAA8AA87026ACB698912D86335B6B461
-D198F7F1A9E47175DB225F0D0EF1AC9318C91E637A223A0F6B8AE2846334C9FF
-A7BAEC08C2371C560786D0CE28427C37DB5892418EF7BAD0ABB5781EB118C0BD
-76B7887CD711D51B25975C8657C70FD4B290B48CD42038783114035F52C165A4
-9120291F4A48126EFAA84DBB2123E74639C24F5A7BD469F7CC14CD15EF91B586
-C004ED43280146C1508F202617A3F41A52AD8A869AE680101E1992E8C9D038C2
-37E8B1FD4EEDB8A2A101F46103F1CE8BAD38F163081E7A7FEEA5119BC7CA077D
-8042C15732DB7D37C2DBE219466F0F18E42A777DE0B3E45C230D366DE39A5F43
-6B6D1628242AA09EC0DD482693EA03BC3DF5C82281F51D1098FFC78712A46BEB
-C539614706523030DE207D586F1D21DE13063B0DBEC9055C337E9445313E57B1
-E3742916BEAE0D21F2B924C22612387437CB13FFF7C16C4E386C35BBD7BBAC3B
-6BABFD10E612AF99D88C5E1F8B2973667FEF8DCAA9ED7A33DD56D02F1BDE5248
-767BCFB33A4026C67885341735A7D1D865F92955875B0E586FBA00CFA55F07CF
-88842E6822DFFCEABBEB4055599BA20E77F7249C89D976105BF6983C7AD97D01
-37728BDE3ECB541EEB350DCAF0A8B1A5FB1DF30C6818ADD9CD3BE855B5DA1E77
-6ABA6758C2931D0EE25A036C047422D26372405DBEA3D2F64B4B1D899C5DFA19
-6CF029B7754D95C84A3E83DC2F8E770BC1E9EC231721F5193ECA04EBF465D3BE
-C98FB5E4EB4B1DEBB4B4D77EF4592DB1ACB93916BFCC3185C4CB72257157BDFD
-BDFB080018337579030CCFB54F2507713C0684059A41DCB7FBBEFD3DDD17AA8C
-933DC04EFC572FAE3D2ECE8ACF94F944C1056FE6B524B7E8E0190E1DCADC9470
-113966D74D9C032E569B33A0C50E96B31C3CE4C4F68520E5E754094B78C1F69F
-9F96CBDA8F5694EE6AC0D30E0FECAB56067C7E2985475AF7D5DA48615C20C500
-76BC786267ED6021FDED95486E04E1C523E10505771521A47159FE16898C711B
-7D728A8DA5AA5A5BDC7B9039926B1E5282180B006E54D94398894B3C7CB1C49B
-028510314F874EFB224F46C50C1A0672983A1F399E6B55D937FC65F1E1B14E98
-75EF9252089FEA1B96D5FA5CE1393D8E3EE4E169FE809A441A328E4E4AB513D6
-895BFF02046A2B3CB437F34B0FC48FAD6EB2E5056BAFB7A9937E7625327301D9
-2A0E5B7B8C306A3EC2E9E1C25C5AD0DDC91CF9AA71341996BCFBA9F0AC373F1F
-29186EEC711E4A6737C445A993A2D4BA1AC044987EECED47E1E89A02875CA33D
-64CBEC701BFCC674876673F08328CC2AA882AD46CFA1EAA1123AD94F23977151
-A63F8942DDEDCDD3D340B5892642FBC6F3E5BB4A04B118AF107761EC8C6FF5CF
-5C573B901FC346258CCA0D47252FC90E974CF29863D2016186D5584192BB4F96
-E02FEE43D5552FB6F803259AC0B607BD01B1D8ECC301FDE92327BF43FF28DC7D
-BB545A2A0B6678A9BAB9DD28B0B69CF0E8FCED8C0A5308F2F0C9A722E02F1438
-E9C14862F5B92BB4D23D1A45CD70D2CB64A801FDA463C9D773162909E489C5A0
-9E3FEF86C01771EC9902F972DF973CE069B7DD24512A8C89560D1A67A3B48C97
-EC3E68EB032A56B01C467B1E5FEF70FCC5A90647C395923113DEE34AB9343BA5
-1277554E2CFDD0011B2312201A11983BBB1B257AF9407E851648B40BC3FFB412
-AD3D9EFC715C8DAE132360FE2953BED16D6ED182B39314FE4CA3B016A9F2E6D1
-A8259430C6D67F1A57AA6AE45ABCEF8E42CCE1243CBC567F367749718C81679A
-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 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000


@@ -3382,36 +2864,36 @@ A8259430C6D67F1A57AA6AE45ABCEF8E42CCE1243CBC567F367749718C81679A
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 cleartomark
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 cleartomark

-{restore}if
-%%EndFont 
-%%BeginFont: CMR12
-%!PS-AdobeFont-1.0: CMR12 003.002
-%%Title: CMR12
+{restore}if
+%%EndFont 
+%%BeginFont: CMBX12
+%!PS-AdobeFont-1.0: CMBX12 003.002
+%%Title: CMBX12

 %Version: 003.002
 %%CreationDate: Mon Jul 13 16:17:00 2009
 %%Creator: David M. Jones
 %Copyright: Copyright (c) 1997, 2009 American Mathematical Society
 %Version: 003.002
 %%CreationDate: Mon Jul 13 16:17:00 2009
 %%Creator: David M. Jones
 %Copyright: Copyright (c) 1997, 2009 American Mathematical Society

-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR12.
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMBX12.

 % This Font Software is licensed under the SIL Open Font License, Version 1.1.
 % This license is in the accompanying file OFL.txt, and is also
 % available with a FAQ at: http://scripts.sil.org/OFL.
 %%EndComments
 % This Font Software is licensed under the SIL Open Font License, Version 1.1.
 % This license is in the accompanying file OFL.txt, and is also
 % available with a FAQ at: http://scripts.sil.org/OFL.
 %%EndComments

-FontDirectory/CMR12 known{/CMR12 findfont dup/UniqueID known{dup
-/UniqueID get 5000794 eq exch/FontType get 1 eq and}{pop false}ifelse
+FontDirectory/CMBX12 known{/CMBX12 findfont dup/UniqueID known{dup
+/UniqueID get 5000769 eq exch/FontType get 1 eq and}{pop false}ifelse

 {save true}{false}ifelse}{false}ifelse
 11 dict begin
 /FontType 1 def
 /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
 {save true}{false}ifelse}{false}ifelse
 11 dict begin
 /FontType 1 def
 /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def

-/FontName /CMR12 def
-/FontBBox {-34 -251 988 750 }readonly def
-/UniqueID 5000794 def
+/FontName /CMBX12 def
+/FontBBox {-53 -251 1139 750 }readonly def
+/UniqueID 5000769 def

 /PaintType 0 def
 /FontInfo 9 dict dup begin
 /version (003.002) readonly def
 /PaintType 0 def
 /FontInfo 9 dict dup begin
 /version (003.002) readonly def

-/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR12.) readonly def
-/FullName (CMR12) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMBX12.) readonly def
+/FullName (CMBX12) readonly def

 /FamilyName (Computer Modern) readonly def
 /FamilyName (Computer Modern) readonly def

-/Weight (Medium) readonly def
+/Weight (Bold) readonly def

 /ItalicAngle 0 def
 /isFixedPitch false def
 /UnderlinePosition -100 def
 /ItalicAngle 0 def
 /isFixedPitch false def
 /UnderlinePosition -100 def


@@ -3419,46 +2901,26 @@ FontDirectory/CMR12 known{/CMR12 findfont dup/UniqueID known{dup
 end readonly def
 /Encoding 256 array
 0 1 255 {1 index exch /.notdef put} for
 end readonly def
 /Encoding 256 array
 0 1 255 {1 index exch /.notdef put} for

-dup 40 /parenleft put
+dup 12 /fi put

 dup 41 /parenright put
 dup 41 /parenright put

-dup 44 /comma put
-dup 46 /period put
-dup 48 /zero put

 dup 49 /one put
 dup 50 /two put
 dup 49 /one put
 dup 50 /two put

-dup 51 /three put
-dup 52 /four put
-dup 53 /five put
-dup 54 /six put
-dup 55 /seven put
-dup 56 /eight put
-dup 57 /nine put
-dup 58 /colon put
-dup 65 /A put

 dup 67 /C put
 dup 67 /C put

-dup 79 /O put
-dup 82 /R put
-dup 83 /S put
-dup 84 /T put
-dup 88 /X put
+dup 76 /L put
+dup 80 /P put

 dup 97 /a put
 dup 98 /b put
 dup 99 /c put
 dup 100 /d put
 dup 101 /e put
 dup 97 /a put
 dup 98 /b put
 dup 99 /c put
 dup 100 /d put
 dup 101 /e put

-dup 102 /f put
-dup 103 /g put

 dup 105 /i put
 dup 105 /i put

-dup 106 /j put

 dup 108 /l put
 dup 109 /m put
 dup 110 /n put
 dup 111 /o put
 dup 108 /l put
 dup 109 /m put
 dup 110 /n put
 dup 111 /o put

-dup 112 /p put

 dup 114 /r put
 dup 115 /s put
 dup 116 /t put
 dup 114 /r put
 dup 115 /s put
 dup 116 /t put

-dup 117 /u put

 dup 118 /v put
 readonly def
 currentdict end
 dup 118 /v put
 readonly def
 currentdict end


@@ -3469,402 +2931,285 @@ D9D66F633B846AB284BCF8B0411B772DE5CE3DD325E55798292D7BD972BD75FA
 7C56816B03B901BF4A25A07175380E50A213F877C44778B3C5AADBCC86D6E551
 E6AF364B0BFCAAD22D8D558C5C81A7D425A1629DD5182206742D1D082A12F078
 0FD4F5F6D3129FCFFF1F4A912B0A7DEC8D33A57B5AE0328EF9D57ADDAC543273
 7C56816B03B901BF4A25A07175380E50A213F877C44778B3C5AADBCC86D6E551
 E6AF364B0BFCAAD22D8D558C5C81A7D425A1629DD5182206742D1D082A12F078
 0FD4F5F6D3129FCFFF1F4A912B0A7DEC8D33A57B5AE0328EF9D57ADDAC543273

-C01924195A181D03F5054A93B71E5065F8D92FE23794D2DB9C535A5E57376651
-F6823308463DC4E0339C78699AC82C769542FD3B410E236AF8AF68CF124D9224
-FD6EE92A38075CAAF82447C7AF41EF96F3ADF62F76FB425BEDE4C4124E7B1E0B
-8BF254D91912D3A99557F5427907A56514C5A3EB961B94112077FE9417B70DA0
-B2E1C1FA3E1D6F01D11F640CF848E45BE3E205258E64FE36AFBD4DF4E93F6B1A
-966C8E7FBE2CC8FF43C1F67BF6C361678B5E90F4BA524FE8A4CAD6AB28183E6E
-CA6C9636E884845105595A2E40CDBE8D4807A81AF4DB77B31873FEB221BCADD4
-2C4669459704CB58A7BC230FC59F867EEADE660E49AEEDEEB042BA9A7DD8193E
-56C3A36A1F639F7EA512EE4BC6992F52C2FC82A890EFDA730105B0AF7B819295
-EE00B48F64C2B5BCB275B1DD62F289CDAD4AD9B7EF057684642FA6FA6322C277
-E779CAC36D78F7779CB6DE12638B3C65B70C6B5F8A8C6421A379719B8DD44973
-5F52856A4A29B2ED37F2B1FBE6EF4B79B7C0CD6395C756A00FACD763C235914F
-847D1D99831023CE1FD89EFEC83AA7E313131C0C197248605EF5BA773D0A4000
-72F607551A8EA6F0FF19441ACA179177D1FF7B423FEBDF58B0C19CAE3C10EEF6
-3538D8FC4762B77C5AA023A8186C40D0365A4487DC3564265B3DF908572DEAA2
-57E29EC669DD72974F806EFF5ECAFA9ADF1F9D2A63087FB7BBD100F0F81C6FFB
-B1EA1C9DD46548AEDD147EE64B1B4894972DAE1DC3E8569D6A3CEF9F9E46DEB7
-547E10BB2959D374A33E47C58F1B20419920AB485F166062FCCC08EB5CC9AC88
-F388F0C0155027B727729488E44CCABB7064A1432E179189C4627453C5231535
-47D1F2B8BA43069696830CBB6E5F9A135CF22D3D1FE490A3A63C088EA32FF444
-24A2427BBA63033DFE2E06DF8CE67949B6AB02F26335A376B57376814D2A7DE7
-64A4347577EBE9A6E33DD2FC214A09C6D889C8FFBF1D567032548851B8F97204
-49E215CC7D222F593E1EF1439ED60AD922D41E0E9EFB5CA48F2FEFF75AC5FEE7
-FB6676D8B8D4DB6885FBE8B61B586313E4DAFB09D94CEDC0507E93000104F3DD
-F83865A2C6F6A7DA8562BF86F5DB233CC9B53391273A1462E40876A8AC2B098A
-DBADD5A160DEAC061F86A5FCCAB495EF8A9D121AF07928EAFD56F618E4EAEA97
-CF89A3AFD406FC9DE1E9769C1E1EB83BB883786BC075EB5DA2692CD59C4DD7C1
-7FD2FF9B18AC740A390C1DB38670DEB18C67721A1DCD502FE7368F47DB4281D5
-459B3F020595FA3B10544AAE9EF786A0645FB7C9BB29D091E1432CD878A05918
-1665643005BFD9A4B0FFD347ADC84CE22D6F9AD4EDC05E8C7179DCB360AB57D1
-6ABCD200A4B4AD56825DC345984D9A3DE11CDA5E9EC1E5006EE4181E4EFE0846
-67D8C27BEE8F84A1E01947E945BBE988702DEB2240C4BED952E433E5305484E5
-71965D3DE95C4115FF78CE9EC18E323C599727C8B93CDFBCD1CCA780DB8C81ED
-C4B5E596E1603624308972FFAE9A57B0EDB51FDDB6E23EDE2946F61BEB241345
-2A192D8CAD53E823D687F9C64A70A4B4B703291FA6317C051DC6A44BCCE0288E
-3839D726A8F2E39BFF429865E95C726E808E02CD06F36C1CC9AC77999F8E28BF
-CE9D74B699CA982479E9D0DD98EAB24D29C981EF0349721D6819549A39413801
-F80182D567EE316E2F0AB208068E15693E4C399A381BF9BBA625E597E6E109B8
-16F3A84C8EC92F2ADE288821092A421A8D3B907048FE947230810F0777EE2542
-29A3485223FEA079B359034F70464DAD2F0E420271A4E0CCF57A0ABBC20AB327
-0CA71B292126D395E0D083B19BEC6B48A9DE2BF470C3D01A8C3F52075BD4BE02
-A0C518355814478202FD4762EC542F8E7B9B1F7824F0554660CEB83E35635E1E
-DF0D03C94C903ECB36B4948ED98B6324E0094EB1DF70863142D4ED3A932D7346
-39D69F8F044B6084482D7748C27328AFD24A3A70B99D1F7D32CB984488672254
-28B6A9E9DCA2C9FF6A1B311D72413404B3CE5428BDB7FF3C36357D7975184F56
-FA6B32AD54C37D0AF7576663AB1397B80D4E998F0B4C4F6D90B483029EF2EDA9
-D4C4204C1546EFF3100629453EAE01918D09FE104E626ABA38646F17B6A94CE8
-116BC7A8D9C319434CA5B830859B4164DFADF1D7C3ECA5C78D8DEA930EA4AC3F
-59DBBF3148C91A2E807FB934E3439D4F67C6DBBA9972854E6E3688E1E0A34B74
-482217CFE031CD7B5DFEF727C3EF8DAEEEDA08F4C90289E62FB2AF2357EB2E45
-4BC547980FD479101FFEEE477AAC6268DD659E8DD9E244676FD3C6909713B71A
-323B211E571BE711D103FA23B5B9AF077D84E2D20FEE805E81D20C03501F0F17
-C3B081946CD0FD577F00E50B76CC37CFA97A61B89C25DD43911B28857284BEBB
-5BEC61FFE3A14C64BC5425A7A82326617F6F1FA4FEAE56071C9F559F91568179
-46369B394A5CE96FB7420FF8AB7C61CB83492FA5AE4A4B0799578594C9EA67E1
-E54498AA5CD6ABA34AD3417F04F5D8D664A7EB39D41E2D17643CAEBBCCD9C38C
-C5C9541641A09335EFBCE0D276A54253EFD68141807A66F1DFEB4BEA5889FFA3
-4D20BD52012206A9F8D3E0F6AFC03FDBBDF3E51506EC6336E249CEFB571AB84C
-BDF8E471E3795C04E38A5306BA6D450D72E50910D1AC385BB06CCD4B8E433A32
-5A4B7FACC976BB31FCAA1E62DB2C4FE06DDDE7367930E336B49F47DAD91C8735
-9A35D80CA2E117E86B52E41E9278046ED923454989E48610ACB3B1663F197117
-52659A9D7BFA561C7ACE0771794FC778675F83C5EDCB132AF124C7E6540A140B
-E0A268836C73A3C746DC964E482E63C56C0D396515283970FBFF182F9F684FE2
-655FD8F5D057D22246DDC3FD11B77552DB4D90ADBAB77BBB1FB1592129DE0AEC
-F822D7D36E52BCDABBD560B403A5C56C5E1BE789C3AC049318C7FAC5E5861E42
-FD66C3C0F46361078D7E036281682BCE9BBF77983C93ECBBEBA9B359769CA442
-87FCA1B98F4EEC4935CC93B08AAADDF355C99816453587310F08C50B9BA3D107
-5388A1F3AED2AE32BEFADF0285DA90436D1D7EA85D7B9B6DF2AC4B778CFADFF6
-6EEE54D1A1C5DEE3CCA7EFF57A7C2931933CEED90CA26DAAB45E4388EC4DC366
-B9E88518D6CF094861D2A59282044CC06E63EFB390A6DF4BA5EAC7CE39E1EE03
-3D84099F5BE96612789AF3EDED07266EF10A0FC23EA1EA97040B6BAA63138B1A
-A9CB8F5DED781260962D7618EDB200C3ED976033E8967A8CC676E9C11F74BE34
-343A7ECE7EE97E8F76F7E95517A6D6163527406EF5A669535CB2BF4031F29046
-BB2D0FFFB47A576F5EAB1D00A582965C56F28C00B3BB7BE2CC8D8391F789070D
-775EB775437F0CD53DA840BB3575104B63E4B0BF14E3F14B320EDEF65FD4CAF5
-8596DA491BBCF3153DED3B718F833D106432DF8DB8B8E6B34D5308C9010A5DD0
-7E0E53260BB84BAB3EA748E8D72F75901604F80F4416920D69B4B983DCDB72C5
-E9928F01A4A85954FD74578AE336C782CDF81D1EB7EBCEBFBAE7ED8AB4862584
-397928F502D65139CCD582CF0723C5262EE54B9D2B8C39614652A8A90E1C3B65
-7D26B99DA298FE4B9A7E98848F619C9BB4FF9FD215B72F99506F06355B332689
-37D80AFD9F9ACD8172CDC51FCD3A759ACA0F7D4EBB07840840EE42C2D5B8B257
-2C6DB3A7657B75F2F0B9730A20112745703E2D0FE709436CA6A5F36F59E64D9E
-37C0A23D6D289E1AC1DA273872F5FC5C3DA2B127F078A4D7AB3FD7E124455817
-DDC796D54EF26A1FBFD539D3A21B86DD4477DA49213259ABB3FF241424F2BE5F
-89151E02FF87E0BEE26E85C0E518D8BE7CC9214B8E9A9EA1DBB49C6C212CCF08
-90C0F23E9858947EE344062EBD9C574979087439975EAD4E85CD7BFAD3C91CF1
-EFF577843AF1427D06CB2F3BB519ED1591974218C43F0D2038665F9E2E3960B7
-FE68CD3CB2DB6B36C7997C6B21EC11CF1DE049541001FFF26D14C255E3AE862C
-5A5701292FD2FB3D04523D6E2F3547923BB117718DFB6E6520F0D0B5450C695B
-8C9242CC8671B7284CB2E1E9EB097A3DB1B4D5E8EEB93B4DC7E38C0A10474665
-54DDCBAF079B92EA494F6FA75A84C5AAFE280284D0823D7C22249A21044BB0E6
-4062074ECD17B62E03EDF4945A294BFEFB51F5FD870D9D7230FC91B83C1D85A8
-86CDDF326FC90E04362145D6E8630C50594484FB829DA18F5C078F2EE67D2F2B
-08DFF39AE2E8C9741FA989AE494C7166F122D2C5F71B97C973B7CE8500E9F87E
-D59C30F2E99CC4D34713DAB680598F41955FBDC26A14CF1E73D6BD6B9AAC8D3B
-B998F2D0D647356CD236DEAD6561389ED3A6746221B0CF15D6648412B35A6B54
-6A0EF5BBB34AA376D9BAF025BFC650C1B74333CE85413D0EBB2F4D082A26A5BC
-3C0A25D2B12CB159F140E00E262F1CFECCB2C802FF94CD34DA0CE9B4B3830FB1
-DA85B9B670D5169928990A2E9CC869891CA2FFAD9774E6B92549644DAA5FE00C
-A5BE4F5FF91A0B6D2FD8F96121D766391EC4ED3E73DADD476B7DAE1A50AFCD98
-DB7E27E44D30416088D9BC07D4661D9ECEC0806830ABF14CE55AA3CA2DF66E8E
-748B8ED46466F1EEB072AC0674FE6FED231E0DDA59ED7C42BC05EF00E176050A
-C4834D893DE42474EA20DB1E25059E84BD137EF65A02CC295B0FFDE4CDE95879
-0FE88BDF2519ABAE7F8CC3E6386ED35E04A14F1E3861922645E3A3F43B48A5AA
-1999A5EFE192515FCC625C829FF5A7B337AA422F5E920545F9BB269C869A821D
-6C4C26DD2AE746EF0F0B4C1E7E9871ADB5270E1CA9BE28225F7A0370D4C52422
-E25263EE101C4EC1C7811B05AD42F364844A56BB91EE72FC8ED53CC6954D2BD6
-F945D739BE4C61E36143CE890FC0CBF2F610018D678ECF7CEAB18FF5A0E48F76
-FDE2463D40A99380D679B3B76D39C664F4992D23E5988B0D1AF33DFB04894016
-E852EFD1EFFE586153C0F31ADBDBDE3F73FB49C5EE64D0D02E1504248FAFAC3D
-903FD44679BB09C30288139B41B1E90A10139CA3172677250B16535A1F3E5E4B
-6F4264DE58896E66051FC677030A121C5A285C47B6129CB5A3998830CE070D21
-2F093FC1B44089F603A21F45F60960F134A47226874C737EF6C085634B0A4A66
-139420501351F737A73F39D960EC38420BE46E5B09D298E7C16B8E32F01507D4
-0141FC52DA1DE718D634AD9C8B00E46EEEF84356759324D2B9A3473C5DA38DE9
-E30182B87F91B6A7F7BACF29A93B44C879CCDEDB063F9D2E51E0F1FC9F018FE1
-2433D85AF24B55DE3A61C4D0A2DA4FDE933F5F6FDF17E9FA9932BFC46E2D71F6
-585EEF5B2E4E89E797A24B799D7F064DD1A817A53677FC9EB8CC3E7F93FE50E8
-D50E3191052943FD6C98B573BDD1F6D70349E1F8011599E3F8FDF1D6E80A710E
-51E434E85801617C6FD8ACCF1B77B4BFCCDD35CB4C0367F4EB4D8D9DE8284D5E
-B4F43E2F8320C2C5A9AE90ECBA7E65D377E91DB69FEF27069235366AD3E126C3
-A73CE97F4C90BA00D206FA012C327FD69EE59AF4470A315B1799CDC0539BF90E
-512C8FC3BEFE4D1B01D969EA9E3FEF976CD6E0FA4C9ECEC955B265CFD58AB8E5
-F7371E479279EE14B689269205C5B506940606CF3E24A1E7EFF3CA96ED30AD6D
-E243DE57690C3D69A401AB3315FA49E4BF4ACD4DD1CA39272533E82EFDD508E5
-1C2CD286CCC5DE1202C7C7F654521750632EB637F918667E2233A43DF75239EB
-F28F3129EB5DEE2FC5BFC331FF709B0FE9B327CBBCE98BCA2C861C6547E50407
-1218CEBE6EB5F9BABA4F2E11BCC6FB553A544A567B459E06375102C69F8018DF
-BA6A227CFB13E2D74E6A521E01B74F2963E9A0A1C9FD87A88EE6356E3BFABF55
-BABC751D2BF85E6712E8EF57914920775906662E4BA68FFA21AD422D34E15578
-43CA0568B431101A1194F8AB1EF25E886BFCDFC10F4A5EBD9530816548BC298E
-AE4A0B6B52B8B59C644C409B4191B6F4203F52314F2675F02AEB65A72C66E92A
-2AC703E15D8D381522C0AC30C165B822A9B8D18CAECC094EDE020756018DCF51
-D0701B507519C4270B70D8CE94B436F640C15872F9B5B77892AA3D110E4D6A65
-8F0815C61A5127BA25815378683F46E69E54A391A8675977E7DF9C2D4E6FA991
-9F029E50CC2F266B31EE9F9F24452D5838905F330CB7E416B8AF836C5AC26AB8
-BE2ECC6EA4BDAA08C30995709E225C21D35DB6369167602CBFA8DB2697635925
-969002CD1BEE745DA2E56C17EF3F0C05E3847147F86963C37A221C8827195A8A
-3D38993E4939AC915BFD9A212F5FF3F826F742B952018986F9FBDDB69C3AC65A
-845F7F33C55D4BE60A1817EBBCA7E1538E8087E1BD5C083A320D52953BE65F31
-E8339C612A510B59CE48D2EF7061560C4AD258E7DC59694493E3AC878246F37D
-6DE89253EBC8830C6B209E818213C4AC4CF1F391AD91D57BE76FB0E2924A1407
-E4A949C905E44F54EAED6419F13D59942C8079336A172D4758BEB5D3E786FB93
-3CBE4FD2EB53E4E1DAC34E821EB30FD44BC6CB4298242C38F848FC23AEDC9733
-52BE6F32E31E25F18301370F8936810B0566B664B042C7AE0D78ACF0A87E5BF6
-F9B66E358168B2CEA30DCD940074F3ADB793CDB136161FE2522905E87B8E463F
-95D4DAB7E14A3DF7BCCE8141C5A08FCFA2BCE9F2D1B05A7642E75877EB840149
-AAB007CD239AE47AD115929427717F219B0A8907F0EC79ADE1B901DAEE87A2F8
-39361DAB43DFFF69650F601B24061A9353CFD619FF9626F63275FD09A5B13BB4
-8B3379EC4D147C41197E8387FC04DA7BE409524CEF74EA91DC066808A7FD0EF3
-957A44E2503EDA67B1C61827479486134E922E560A673BF314D601C66003CD07
-55569085AFC8428389A140EB976CCFB8F29E27587E46C413ABE2EFB51AF5913F
-53EEB74063162E0BA1E24CEDCA320377D3E11BD374F0B44E132A5C35835B6E2C
-D32948EF9DC7931D104C1385709DA882DED6458319F21C2329938396BC074106
-CB9CFB9E0A915F8DBC8435F386917AC87A2BA45D857EC30ECA66FB4044F5439E
-CDD556B82A0E43418D179AD883C85AC276E1190CEC242E3E1D86E725ADC39E46
-BB6C47FE9E17E29F8EA81E870302A00D91434F3B7A05F243176E6EF1082541A1
-B9052191EE5C2B8E94A2E02DB65FC769653CA8D1C07A13CB853544AEC7FC35C5
-218DE3128AA31952DCE19C55C23FD69BCEA2C661F57B11B8F9E86BFA718D1521
-3346E78C701A5E51923D6D937E62FDE3669B214D240538F069A100A542720A86
-31DE88116DE775F7ACC2A49EA6C02A24408271A846990669F2AF60AFAB4C16F9
-7F4E88E917F0FFDCE68F22998AC0AF2A60A73258C3A4BBC42A2F918123128195
-196D0E150D79AC3CF4628503D1F3FC528265ED8324E56849A47B3B07C29940B9
-1BC270071E221D355EA51E9942D3BD7F99816304FFFC8F5B036C953B38759341
-ED5D7B9C8E6B70C409DD8362FD291201CC385E4A98D73E8518A4C0E544152563
-82032FBD2FCB6E403D34B85ED4053A8CB619BDD4DE001F4C3007B1F317579651
-E6D6662189CC2D95AB85D7473F65C5D7B4AC63B0FE928F3400035D5A9D443D0D
-F3532B99F3AC26CB25EA3CD64C341159061E02EFBC7C033C05CD919BBD827A6A
-BAD2E141C0A7B647030FFD1FEAB8CE703C40802E0D32EF0DF87BBD5131CD110D
-BF5A11D66FC2087779FCA72E245C6BFA23F60759FECFDF932C3026D4CC21D843
-9789FD52FD7A85BEDF58DAB6334F4880C2C99F49C0F64025C76E0550BC4B8AC8
-5C7E817DBABA0E78F36954E9922286067E92E69D23E9FD278CD5F26788A7E5D8
-476DE8E21397716DBA03B23D85CC8B701EAA654C5EE74F40D6C3AA3F46E30A2E
-E663C2CC64E2DA3631AB809AE1B70D89F53B1D72088642CD07D1DC4C7263A7EC
-9785A2EBF8CA24D40E2C60CAF478FAFBEA8A27A55CE0320FE47E2512D88D1244
-95CBCA87983B8795DBF00652DC3FFFF419BF24ABB01E9C6733556FC8C52A46D8
-4014B8887F576E9D5C9F615EC830A43AF507C9F474F46C7238DB7412E07DD635
-506D3978D2F480E23EEBA9C102C40045C4416B78160AB913F3343AA8928E5C76
-95A58802A81E223DA6A67682A05FE782F6EF3C63A26C4BF383C94DB6272EE22F
-A8FBA3F27CE26F13E8622A3223F8E8556F70142FB2F5B60433558D603A2516F2
-2F6BD199FDF71E1B07B65EEA863989AACFFE7BBB3F51E9701FFBAF593B3D022C
-DE6F3AFCE6791D2AF3AD5DEE8CB1A9C5916E47738DF51B714011EFF58D969266
-71E256E54024002848F66C7C23E6AFCD8B83E38C333AC729A8D8C745060E8D6E
-A996E295EE44C9F6D312EF060B29A0F2AF41F95FB85A0214F271EFC4BD315D32
-6BBBD823472A776DCF924BFD1C5AD462339C53DFB6389F37C1DF4D2864BD7153
-14C418629FB9434DA1EDC1C4882DCF00005412C764D3C98FA2365549BF830F78
-D96F81A2EE5D06419653D7E955449CD4D373B87579FA54FEAFFF1D03B9C79329
-3E83F17ACE0F33D1154FF416265AB49A95FBA4CE01273AB12DE8BF63B199B32A
-6BDBF0A6390D9A558FFBC1EE0414024DB8B64021D20F0209F7B55A03C78F11D2
-FCDD543AF953CA855407F956F9CED2E0E8B803A5E08216AB65C00A690829D128
-B7E9633B03824F5B26A6675C84F17710EEF13D30E1253678656C5C16FE432CDE
-8383F7735FCC27653201A8230C66DE5350D13D85C99403FC77E3BFF0C6BD8C2D
-DEFBB3F5E85F8ADCE51081997B9955379557CCDE168930055DB48198E6560FD2
-5873A741BC67BD32FC921BCF23C78B990DAC8B81128E360E7C1B7DABFA59D1DA
-007129E79A76F508F7F4AE25A0FB7EA04CC8852219F3DC0AE8F956F6B0DB67F6
-933C16D1BECA981F4C2556CF5D1978AF474A1C0FC242551112EA5DA2AF1CF60C
-F42C2060C589592CC9F0694A94A936D12B01EDE516674D15660B435BB59A95EB
-C1A40296E2F76D73D3E7C6BE74D8E452F87F7D917A2A2493FD3F9DB84BF247C4
-2111E54326D402EA71C6242E0FC1B3ECF716892F100388CFBFBC56BC3CF94103
-2531349F1731DF2069C0BC2003B184EC976DCA1FB7BB24EB86E1A91684EAAF39
-37E2BC5C87B804DC53AA1016E5BA85BACD18811215098ED69B4ADF316B992FB9
-898AB56C6FBA843652D80083C898C1440AAD512DF040039D3D28E38F1182DB81
-FA1ED5EB92D6A0961744E5E89274EA5DF30228B7F679A923447CBDAC72AC6A3F
-F41E916C4D36ABE7264F8F3CC0A30AD6CF3673BDA1D8C502C3C03A9292AF7545
-C90C31C9C9F5FD5787D5612E4019EA5D7C886A6E439F451D66079B99CD0635E3
-3CB76EEAE86442C687BBECDEDE61569EA37644713B17AD50D5925CC408704AE5
-1350A92D4FFA1B160498F2A4922B9C10A5C8D72473F8E30BA8662CBC9E7658F0
-99B2579D10C84EB969C07EBAED6E0EDB3B25691DC344EC2B5A6558FAD8456946
-A0F559F8D75B3C87D947D22AF4CDB9A6E40B3A1BB23B6C53445DC9E45768F582
-9F1F15AEB08370ED394A13BBE662BD925865845B48444847FF677C45470C0914
-EA056237AE637C2AC231F9A7AEAB0F9B1828DD3803E7EF8DB84C05ECD001E3DB
-F98EF40241BF8A6BD5BD451A297D3C979DD9E1ACFAA22E914399DE86201F6E1D
-C1CD5E9D11EA2EDAFFB7FD9747EA4A7354AF0FCDF9BD53A17465B8E67D4A7806
-6BC0A1B142E393D9542A876D04D75D465E32FA0B49FAB9068C5D27D308BB168B
-4872E9F81DA3EB987728CA8284E08C2ACFA255AD866A851DD04D1720E45367BD
-F77256639C526F6D12E09E6F9B3E7BE0840C35FF2A964AC0C5826C17DDC8EBC5
-0BEE2D6EE74A58ECDAC93015EB1A74EBC88450FC92050BDB708ADA75408CD8F3
-2BC92D6E219545962C9E740A004965FA0F9551AF99C28880A26D9BE5790FFF69
-6E34A40A6B0C575E50EBA7F80F53F9C81D51DFB99DB09A5A2A3B98E5B0970AF6
-EE29DBF50455B10370ECF0D3FF66177DE87AF21870C1A129982702C006B15930
-736FB383E0C9DA0434D2C6361B3B70A1C28B0F8FEEEFAE34F34B88CD091BCB69
-CDC8BE532285D4C0C698D38A5BADE5DD337E95B795F2D1B6A0800EFA2E584C1A
-F22F0F5678B74E2DB0728792A53A89A872DE3D4FF0164D8AC43B2F88FB1CDF79
-274B083153CDE837B588F49F2F4F5EAACBE869774379863C7128032FC2AE1C7A
-F276866D5F24D5CC98CBE54131964D137AC04504FD7E597B2259C754C2D658DA
-4FBF426F8A15A079410144AE0DBCF8C2892C3F724A6B1F25AA61073846D85754
-AC71496522AEF554B28112B03AA4569B84574075ADE3F6BD239BEDDF44AA50AA
-5B9B4F2F94F060009E02260705DD46F3A7BE65CCFC6A0705B7A85EFB4EA1F039
-800D364E6FE2E25756898D86A60C53C15EBDF132440D882EE28F5302B38B1520
-6CA6050EFE738BFA217F3D8E97C1C912C5AC7B93B80A425465785471205C576E
-0DF6845137135D50FD7D51EFC9000A979A58140071F52194B8E3D32D97AA3785
-0502CDFE358D73FB0B10081452EA1CC2D71A20E0B2B9E06D2F1663F48E0FB5AF
-8FFBF3378BA693A2BB788BFF56A56DAC25572C31AFF75B16F8416F03B28F4206
-C53D531548709D4E1117724051DE26EA28BF799DB91FEFF11D1E063EEBB22E89
-B59D9C847DC55EDAD191334E33784AAA26C24E7B3FDD07C287443A04CD49A77E
-5F2E7F12CE0BC0CA036B3FAE669E9ED918045230DE2E74F3AB69217B9D6CFF22
-A50B26CFA15E5A7A95BCA716D2A473F76D643B0948C52B66993E14D6C069D689
-F1610EA05F66987070AB16742D324B784E76DFDD9510293F65DBF0B460C567BD
-8984D643B8EEFAC0FB54F965896F2F05250F2CD3F66AF7C27AEDD633E74A8D40
-5BE94F4967AEB7B71B8AE4A4442C83848DB94E8532039B7E440A889DA4A03CAF
-4D6F4B9B3C338553B0BFA7284B8167784202C97D907D8D6B636450D35374BDA5
-F183E21407B9723D38121FE0F96152C3B4CDD2C9730BCA1F6C628B8724CDCA73
-F43091C309EE46E8087211D222D62B8213413AC1FA60E5DCDC85F315FE750DC8
-220651593842F74B8E3E8F92C77E1BCF44888B9B665C74BCDDA2AF0C5B34E855
-276F1795F7880ED28325FF8F0CC254707E46646607EA26FFE19A32BAAAD3ED47
-C847A85659FEF0504BAF8322CC4F0C6597F364EB43C1B12570A40D515C7628C3
-10D75C6C3C5E98129E3F6ACE7772E3D15C21A8D6BB36DCA9B9D95862F2884FFF
-A1955D1F0A7C0BBDF0D82217CB96540A3FB3C423B7EBC58875275FFC1DF62839
-82A0D09A441DEDEE59F33D9D24CB6D27E751720F745712493D9389D007462F6F
-8E2381F432F26E753AEF4A97712BBECB801E3E3A298283807D38C4B951961439
-323E746F9BA0BBD29345FC48F9675D8ECE712286D08C6BBA429B51FAB11A23D0
-4145579A03BD3DC92BD43206D32D9FA6BEE16A35D1146AF92A6A1267A373C5AD
-5277CF2AA225B50DDB51C0D1BD583AE8A01D4E846B0E75455515D12C22F4C670
-E844F37FF13D2F54800CD67508D23D57EF5C9ADCE6DA8666CFD8453ACC5A03A9
-24B9833398B1C21C6B1C600E97946A691CD6291143AEB7A27EE1BA57F6CB16A4
-E8E4DF661329FC27DA864F90E2F1AB86665BB8F26D5B944E24A10725FB8DE0F1
-0053EE421A5420D206019542FB71DD8FF33848829441B215A5A69A63BE321FDB
-D392EDCAC459D61F503CBBEF617AC1045DEBC535EC9FB43ACCCA2A1E828B7E1F
-FBAC8E00E76D0BCF18927211D93D116F8A34991F0E5163198AC6348487035FCC
-22F2F3D66EE4381D2BBD2DF27B4801A43B0115F76BDB7523763EB818FFFEA23E
-6BD5F21FBEBF1B8318AF43226801730A8D596A83B004D87338F97F0E30263126
-6E647C003B2B1C1DE93A9FFB9EA07623C2E6C928465344E967FE1AC902351A89
-F44B6CD66608D90DC9FDCE7EF4FC3ABBC353C7824FE7FFCA08266D740B76FCC6
-A07204A19598FF5CEA5B0D5A3850D6636BBEC024305D0CBED59784A1E34584C3
-D4C6052384F4A743D13828BD3A1E347F34B20CFC1D7A8C6C2B4C2B6A2B728765
-663576B2DC0349B833013D24DCAB2F2D4EE5EF1BBDDC8A9F44932FE296212509
-D8F7816A6D6717B4EC31CC26EE439DD13FC9516FDDACD4B898C98D0F93ED48B3
-0ACEAA82B9D4ED8364A3AA06A7968F232BAAFF7CF218C46CCBAA4D34EABA6C07
-3DA280179DFA5EA04C018B242FE3175353A7F95E53976D635002D6962615DBD2
-A0291D34AB0F85E7FA8E10D7E6D55CC28BB69A05FF10B546EAEA3DC112D7995F
-5EA0390BBA3F2EC84923DAA8DBD8E81D9D7BA56F2F9AA80003437AEE3CE2D981
-21E92BF3CC267EA3E1764704EEF2D6C175407A5325338B69D9A37CF461A8C4E7
-1E9ACCB09681FBCBBCDFFADF0F695CCD9984BCC212DC9853E9D0345A5A1FC64C
-5276729B3648B840418C936F553B185AF8598A1BED508FC40DDD0B5C9119DC51
-402C58E182C67D95C9AE013057EC4D65B703694C7B720734680F7CE8598D33F9
-2391A42B779FD621D9AC4AE601C9C3DF121AE3E17D65296C8220D7B05049E318
-EA0D09822229C9BBF11C57B25AFC633E9B5F1786B359E59BA89E20C29B834993
-A849A785E273ED52156CA237F1A700D5ACFB006C2EA85358A9B396C343B9C3D2
-366BF5E161144DCB284A06D4EC3C5FBE79FB8A550C20174448B62B4D7543DFE4
-97F235A3DD8B8813F2F3279B4B7ED0EC06ED91EFACC4EE97474C50D3DA7B8D50
-ADF5E9E2F6A9887FB9C4C68EE96D14E7E880C556AA5C4C9C599251554F1C02DD
-7EBE0BAAEA779588F5C6B3535584A67501C9EFFA77CB5E91A6F87B39859FCA75
-BC4FB3C38A43E78F1EA6472B994806D08515DFA7D7BE5E2AF12B0EEA786D093B
-0F92BCB4AA125CDE3D23BD7916BFBF2807203DDB09DAC94AE528108431CE3E9A
-62218D6C1EC0B4DEF14BEE8F90001AB3C4D57E58C85D65AD765E1DB965AF50CE
-8CA63AFA2AF2BCFFDD5848EFC40CFD3498C3EA246EB62053DD25456923CC8ECA
-DBA102E084DFE7D78651D44E9389D95D6E82D3AE709CD316264D5D5171253698
-6F7EBD93DD5E5B561EA2824486CA0F4235A4E6D18C12C07FDDDE1357C066DF4E
-C1EE68DA93CA411DF5CAAC9F31A4E5DCC7F2695EA0BB7F8B9A2A3EAF6509DD3E
-53C334C0B984FD906923CBB5C2C55934EFC95180B62E4582C783BFEDCB5856E0
-B15D29ADC7A381539C6F6D69BE734E362BE83DD21DA0FB8A4187259CCBF6E384
-5DEE0BF011FA3E848C08094FE44585142FD806235645FA7B145577C18EC008E9
-361E8EF8365B94742B4D7D4872FCF23E6A5ED4312BCE9B82FCF122A9F1BFB174
-BB71E4AE753D3A1C1883546956AB5C12E624A8DAFD3172E59CC5E725A5D8A568
-6BF8052F39547486B7266D8093C151E7DE01DF517B99D1F3433A7DA10476EDCC
-80599746A678A85CD48D6C2F45947342CD82D8E34512D9E01DA8C6A01DBF6D23
-EE5A511CB40EE2E102A203F8F9A4CE33F342B01363485ABBC9C273791811166E
-00A98E2400E9DB5769856AF575DEFB38D268FC34050985AD58B1AB20B7919AE9
-915D4FAC99413FB93F4836B6CBEE5565F6AD00278F02394F4611CE0D32AD0720
-8E9F6D57ABBE95DC56356950E7B3A9F592D307888278A8EFE0EACCCC07BE8285
-18A49DC52795A0400EB142035484C65EC94B7C7E3272142FECFACED4539F57F6
-7E3314A64744734D097CEF467A33EC92B3E6B6ADD380135E24D0A7E1660CB060
-807260EE865C8F60A94E20DB39668E822524588DD5CAD79719523CEBA3162800
-00AF45E22589A1805951ADE05F6461CD7A1E08249489030EF82ED75AF893C83F
-83060530A11A9CE311A2105556133522204D7F601D09E02C2BCF691606B9E571
-EDD652C7D27B86745C96F6D4EEC6583DE7F53D2ED6AAE2FB543BFC2C2FFB4B85
-4167EF4F43821F7A3D889C118BBE90986256C45B91BA2FD671C96060EF09515A
-6CEEA7B0E0A27CE76014DF9C546D92A4404067F237DC81C7D459F28437B214C5
-4AA341FE516ACAF3FC1C066449615AA847F21E7DA8F5A2549DB877921B0112D5
-7DC363668CA76D1AA1863B6594BEFFE912C749FF87E3B01E79544F0354E86767
-2E01F98F7DAE0612474A6BF57CE37116B621B744FFB6DA8F016C1B840E4B7EF4
-1160433D5768E34FAD69F4856EAE6D34584246AE168E7DCF4DF921D127617AFA
-522E9A658F47D0487584137544136F2A67196B1917D9344A569D17652B2167A0
-0232BAFFC61EAAF951A72C180297977CA1B651DDDEFE20A13850D25A39712B59
-F7CFDE8AB9E3E87CA9F56A9F20EDF4D4E9AEEDD8A4B4AEB979DCF7E5D8A35A94
-5E57611E3540AC66A99E10A9BAB287EFE1A1D4DA0D66E7DAA5B6863720B9FEC8
-62E482643DCE6A8E15E9C19FA18E04DFC64BE984AC8272578E580FB2C8E81772
-90A2348E4B826DD7E6C672AE5CDFC4FAF309C514559D7D5D67BF34C3901835AD
-36F90BCA3CC42C35E59437E21A484C5019A821811C9FD6B1B7FA0752D221A591
-E22421F1E29D65D89152DA8EBA3DCE0DB022179CA6DB58F6C709E3D4F4318B28
-245CF5E7E3A27021EB23ABA5F0965A1593207F5232156F0C2C1FFF147155FB27
-ABD5A3B050F5A1CCBFD2AE271493A54F1E57BF4C839F51575B69E1E30091EA21
-F8AEBAE9DBE0698504713A102906A4C2791359DC3978B9544E65D6D5A5F63E81
-1E039358B15E0879C787C73DB473FD18F54D0A8C73000BB09F42ADB15AEB3E56
-39237BC624D9A7F67C279769C124DDF532239D7718B0A56A2B179635FC4BA92F
-8600EFBE382D0715586FD4C23FC7857B7CF6F9DB53B0002E57A803D6F09A6084
-E7CA3F16688F398BA1AE7E3537A7CC3BA9FE5F78E723F5D1025EA2282683ECFA
-89E526FC6E505E81939470DF73D83478994A67D848DA3A4F1EEAF23806EB1ADF
-4259C702B466858F37EA24797582080D237D940EAF11E46B94E1AF709E4FF11C
-ED65809E837011A327310140E5A8E5F4BCAF44BC8ABB61393BB96D0869235322
-BD40ABD4B9459C4AADAD76F43C7B2089FF9312C7E28C197BB43B7F7F95020948
-88CB8780960CCE167D0EF5152CEE9CB98F946E501F9C8B7FC7370F9AC6911ACD
-4A7D645392088471FFCC27EB3C13F0E67E40635B8E90185A19B33AD664511E80
-3F62A41240C086F846F7A8320A2D3662B00D20CA149620E9FB16F83F192729B8
-80CCDD50A90B3CFB8D5ABC1FAC3CD9A004F3AD966B75A8A705947DFD5E46394F
-FF78525C34C145E51B7C1189541F4332D7C70E2065E21DAC95A869044672DDCA
-64C82B8EC620B3D590FA63A1DBB7191B86EC293C5657AF4A0DFCEAA7B353BD6D
-2999EFB11EB310EC9BA68B34E98BDDC0975B564D8EFF25F21A539A584A375CC8
-B9633BD8A06D05040699FBA96F58710E350F20B7B9F97BB3894396B85214AB03
-504BA21D85FB26B607016DCF91CF79302C6B99BC87D087790B12739493D07985
-5CDD97BAA8E58F6AA78729A37E78D93406C7BC48596D5E41321E149AA0422E55
-FCCC5A6FF09D8FE89F2E5E5E637D15393BB3C73BC32BC03CD0718306B24F6A50
-99371237C7503A0A00A17B6C586442A5670AC70E8E79048CEDDCC0F3679D565C
-9586DAFA039BC65650894EEAC569E7894A8049B4D9719DC3F5DA7D620C63C65F
-C5D69CDD59F07ECA33C44B21053D498A2A7D09F7326D9517278C235D5EE27F3D
-FA892B5B521EB7FDC3607A7A7A96A6519DFE2B7F1558A7AC182D4FD071FB62EC
-DA7E9A779AABA68970D54050FA7919A4967C854AE0A33BD12545C35E1E357635
-971A1AD7C82EE2EEC75E078DCDFB78AE105705B0E7E30628972755FD107D0144
-86CFA5111551D2F258305D4D04B242AFBBED9E64FC5A809CCA4798D6E06969AA
-4B9306F65AA429790BC667A55AD9F4C214B2253B04F789BC84998EF67B2F661F
-F13DB5722BA975E4646E1B840236FFCA8448BD95A83721ADBFDAA01ADFE7EB5B
-27A2E2E042D5E3FC350516EEA08176C0D32276E7381506017FDD5AD000486A95
-48C5FB61215E1C104421E5B6B7AE3F9391CE7ED9F8BC923C0D792BC60D299555
-0951B5B7CC9E1E849DD203BB740CE4A2D9228F67633438241579245EE9FAD65B
-2F4AE675286B14EB32BC44732AD32B933FA3EA9C0D3E31F28559B1633F7131FE
-622498574D1B5CCEE74BE76B9BB2D7EF0F211BCFA7FD76C3F037D63A105A882B
-76F2402E10E321B1CE9484E72358BCEC823775376E671D04EB835D8800262D74
-4CA915D16E4CBE10985D82BD584A8B20AE816CA9C60D3A774AC7E6403C130A09
-EE515E48907CF1162F3F29ABED39640737A70A45E79020419B785FD8DE06FEC2
-A967E1F81F5E1D5FDE3768BC1B9F51D5A65E9B68691EC9CFE6FDCB2203F0CC89
-A0C8304646F46DABDFBCD5229AD68E7FEB5FB5CFB5F04BA6C769244837C5039C
-92BEEFAFB1FC47A2F4F03D1D1D88958079B3DE406FD9DB42009DF9CD5B6E9907
-D4FDCAECE1D7B7FA50B53435CB9F27B9F8186D08D72315BB5F6F874969DC98B2
-B367B0116099E2D7A7FACF4F9FBA6ECD684781BAEC3D38688E45B021DB770AA0
-928107D2E664875A83746F4DFA1F71D027CEAE93080C778F94E27368F8E97A90
-279EC908A4B3C15EC4AFDCBAA3E620B1CBCF5A06412F1D601445467F586B0B4D
-33524BFE21C04C4C67C216BEBADE02FEED33698B8875099B14150B157134B5D6
-48C45046661C09DED372E57DF9A34219DCB733F1B86A341BE87EA3E9D26BFF84
-2E08758C8B3C8B9D1F338312D10897ED0ACCCB6D26C637C1C4AF393580B5FF3D
-BD81F65856A7D11F0B77C080C92D68B0496EA6744C8268893DB0B08A61177A3B
-D9CC16120D2157646DEA2BF0A4471B2E5937013830434501698323E3056D5A59
-4C9C08B05A2AABD641999BD8519040C1B22CAE351E21A80FDD53D2A0AF2A2C9E
-77BA737D67E6A7331AF5E28E64C605F2F37E86B8D2CC13683D94B9FAE8F4A4C9
-3CF8428248DD83450B0245868876D27580F5DD7D8B353EE53D378BB7F6155163
-2DD3F844A0ABED5FD59B93745B4D191566008A172369F80C7CCAC3785EFACC88
-DAE7F47DF420D7906BC122396B6A05C48BC016FD64B7C35BDACD17879425A9DD
-6DF1B9BE4FB306B19B74108251E99059E230BE0D5BC0ABCD005EDA9C7BAD4A5B
-F0DF50FCCFA52E47AE30E9262EFFC23BF6A502E651C58E2C0114BBBDE86058EB
-0C06B803BF2491F1D9340B2EDEFFA8681C45BDB38AB95DE4719B5B747E98D081
-93555A5B60F32AE76BD2D884275483553D8A07FEF65D03DF0DF7D0D20F1FF8AA
-B95ED83DCE860E07A5A3099264F36046A94EBF7E2C3F79D8262F7BB3FC918C9D
-952948DC37B98F2ABF0B199A609DEC585D0A8EBEF791A8A9A95073935CE8DB94
-AF2BB3CC03DDD2005531E12AE359E9082F7BBF3E039137E11A02BDB975468F2D
-A9BBC4C452891065931AF016D5977FFAD3B0474E8A503F494CA3E44A6265E509
-4111243C8A6098AE5F1EF082E4FE2364E0B051C3E8BE18C25405550077AB89D3
-2242DBB0D5BE4923EBEC60CA3172525B2D62E148CB57EF85F2FC6F870FA63F77
-B66F8472601041CD47B46BDE28A262AE0E744AE5D69AAC04DCBA1DF66D3ACD0A
-BBB91AF759A008EC1EE002290D20FB8A18F9A35702DE4F388B78E01DEFECBB6D
-8ACCA44110B40E0F244CACE4065159AAB5A5D7D0B0D2B5E7F7A2BE025BDB4BA9
-25414C1DD799755A92D0DBD01DE14C0F811218F4B6FD7C791B0727576D1D171E
-5576BF00DE02B8E968F8EC05FE8C8096928BE6F63E40B291C4C04479E773B909
-7E454DF60958867F5420042183464BAE156640CAFCA2C01E3D0507A669E50C0D
-7E005266BA5AB86CE39DAC779A024CE11029A40E03EFD722C596D915DDFA80DC
-34D3C2B2AD844F9E571F7D87188FECE40D15A81E2D33423716C3F63DB2670210
-BFE9BA73B9C3395E6D11C0B366E59AC5C68103FF611E778B22EEEA24CBC0D678
-092C0C225B56D66DFED892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 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000


@@ -3916,6 +3261,7 @@ dup 33 /arrowright put
 dup 49 /infinity put
 dup 102 /braceleft put
 dup 103 /braceright put
 dup 49 /infinity put
 dup 102 /braceleft put
 dup 103 /braceright put

+dup 110 /backslash put

 dup 112 /radical put
 readonly def
 currentdict end
 dup 112 /radical put
 readonly def
 currentdict end


@@ -4099,39 +3445,42 @@ B3053CBED3B6E896B1C3356DD9E8FCB69691AAF6BEBA0424D62B9F266D560B40
 BA39746C1224A29D191D8B86491E0A306ABA070CAA2756C3A33990EB6DDF34E8
 06EAAFF94AE6686EEB06A17D6D020D1F4E59428D533DB0EDA6434E6E1A478D5C
 2A0D08CB39DA7D5F5200199FFFE3F41729478D4F63AE01FC0BF3B378FF6402D1
 BA39746C1224A29D191D8B86491E0A306ABA070CAA2756C3A33990EB6DDF34E8
 06EAAFF94AE6686EEB06A17D6D020D1F4E59428D533DB0EDA6434E6E1A478D5C
 2A0D08CB39DA7D5F5200199FFFE3F41729478D4F63AE01FC0BF3B378FF6402D1

-CCF42981DBF30908C060B15F4F00DD318311BEF03E77C85D957AA6AE0FE86DF1
-3E7C83439A6BFB9B90D8383270D42CB67F8E8CFA9F2F4EB718886E4FF6A9106E
-E1B30387D1AFD9AE0FB988C4A2447C8308E59F86C7A1EF5CF687BC299D5A6FA4
-865BB4233D51C99ADDF88E7965C164E564C67585C3AB66468E409B07CEED8885
-526519FDE65A1EB0979F0B4238EF053B8AB99F98A65950984C92AF071B4F2E86
-5140F969C6442BE2C998E6912879467B0D88E73CE14021CFE0E7E234673078D1
-E628B0C80CD69C4AF15581846AE29CBD367722D6A564D53E235B53BAA30DE1A9
-416A75D8B58D1ACE8F1184632D8004A8A87316D0C35DAACB7AFABF92FA43D21B
-DB2291C3F21B2C270000941CF41BE5A03E14BC20D831E4EA28657A7F0780E0BD
-C334C0C6018AA13E77E073E214985B5DCB6E4F4CA43C925D3CCC09F65D570219
-B993EDD95E8C799BF4CEDC83F205A38FA9C82E36467261C5C9FE9A7EBA5B288F
-40D250FBB1EB61A3AEBF4E23C924FE8B5CD130518DC56AAC0E3A74861E0B62E7
-517E56FAF36972636F5C55093A584018CBF904BA6A3DBF20BCB2D3895530BE43
-8B062C6F04BD20FEFF748C39C3DFC8137114EBFE6AC82DB0695770467A4A9957
-26B4CC42F9C4C039F8EA5BCD970084D84D514F256774232185F59D7EE9386F39
-551DBAFE025914F7A2E30E21B351A09BBC21C626CC9967459115CE3EFE75CEB3
-53290459620CC166B7C198682DE191DEE93B1EED8860F543C699D08534B9C182
-E80E0A21D4CA923C0371C535B58A6A126A3CDCAD6CC4E25191DABD7A88658072
-98ECCE3766DD80F90AD8D2764166BCEB5B231CC8B5743D3E3262B88C07490BE6
-507463B7106B3AAD04F7C30416CE21F7F750CBBD389FFE15AADAD5BC8B84A16B
-C6868C9F1ED82FDA474FB08C08B873B3E7860A66EDE009CA499D178F3BEBF3EA
-1B7132A537876F1BEC32B7794B86FF0C0D35881AB853FC2450ECFC3293A52755
-7A0B58373DE68C1104A014A9E30DB1F5E311C175539451E1327C579F0FFC6085
-59AB3B9E6D6B5FFC1CF90F92866E878F516F4F6331D895A757363FB57F2BE100
-CC8AB7C3E5E1E1FBD7F96C8C539080386CD774291AAD79179B81EC1CF9C134C5
-93C9B167B5B722F5C5E7E2BADC10065FD4E0BDA2314BAC0F195DF1C03785D810
-C573CAFDCF370CE208AAC25A0EEC2536B0F7E568E76096C717258B1AE2C14F98
-7369D624B74B692548452A610D52D394B8381744D3D07744A8135BFB86E332EB
-D235B8AEB5D511485904A9F97D39CC62AD816D57CFEAD3EA5255BF2523F8D969
-72287DF2A26F0231D9B4D83C3278787AAF95513AE20B74CFD055AD41F5FBD67A
-05219D85C919DAC9DFA7020C35BA6672779BEE0273E1842C734A8D15D6EF7A9D
-D1C8D49577CA65CFB1C6AC4BBC983EF50912F014A219066915A603871AC58225
-876BBD855E117C7EB236BBF3867B621106107F7AF737FF30DAA519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 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000


@@ -4815,7 +4164,6 @@ dup 58 /colon put
 dup 61 /equal put
 dup 76 /L put
 dup 80 /P put
 dup 61 /equal put
 dup 76 /L put
 dup 80 /P put

-dup 82 /R put

 dup 83 /S put
 dup 84 /T put
 dup 91 /bracketleft put
 dup 83 /S put
 dup 84 /T put
 dup 91 /bracketleft put


@@ -5024,696 +4372,267 @@ D358B3770D727A2B77D84B6C9EC17E29D88E3421F9B7D2D822EB78BB8BB50692
 2AED1652A132D66117071CADB8603969B3A2F97270CF2AA8EC2AB890662FDBD5
 00EDD53F16FD0CE199660202373E2EA28D29245A4AFD3A63695F6178406A7234
 AB0C0FB1B19CB408E047BF014BBEAF4C9C19445C7819748F082C19E6E355EFDA
 2AED1652A132D66117071CADB8603969B3A2F97270CF2AA8EC2AB890662FDBD5
 00EDD53F16FD0CE199660202373E2EA28D29245A4AFD3A63695F6178406A7234
 AB0C0FB1B19CB408E047BF014BBEAF4C9C19445C7819748F082C19E6E355EFDA

-BF1C2DC348AC0AE6777F679E2F62A0A3EB19B3A5D086186E1DFFF295171B38A4
-C8C604EFCC29A76055C6764C6176E2B23333ABF27FE159FEFE89CA6E88F43E2C
-8BD92C3919755C48B4F711372AE3B7BB1090E9EE6F645318CE9E4426114DD821
-D76C17C8DEE7C01814EAD64D2956CA4F5F287BE397934F27E5BC8072ADC6E6DF
-8DE856EA8C28BC52DFF627698D5188E6C53D9B4DD0308D908D7B6FCD4DB7B906
-1FE8EB6D5FBAD96B899ABA41506B4885217F13300D19A2518FE3B3AB668213FC
-AF203B8009E97A7707B1CCBF6FFF66EC1EB8714A0C96039D603962D53EC89031
-2CE70FF51E55AD1F2AA8F16CC34ADA80C64437D2B0A92CC7901BC68E436B3B0C
-19C12AED446F5B51301895F072D91D741F2F3C02749948C121CE3EBB678C9EF4
-8C0BAF2CBF32269353B4A429362860A86384C563079E1001B2BFEBB442AAB9A2
-9D15BB6653495DBFA169A34B5F546058188E91E81309D42B0C7D7CA04C6A1655
-B89DCCD5961BAB03D4F867E2AA3F10C3D704531CC2EDFCAABE8E6BE1F2BC7394
-61D428AC3349407FB9DEAD95682AB3BD762EB17442F7EA2AEEF67C83316C8E2B
-5A0331C1044FF0E01C708D4C041AE16ABDFFDE7263E0CFAF242A0D930EEB65ED
-ECFD065EE62623D733C21814023A1FE9841CB62083B7F5FFE9C822E421D1EDA9
-8F84641C07C53CFF7497D9C6826643F0691C236FC6B9B9DE1EAB0501F211147B
-A146D78C8E6BBB4C92165800B1FB9FCC95A471EC45301FAE68645FDD3213D379
-A7004A9ABC87B5B9B6959A22107A124B4CE2061BF8D2A753C0E0005B5F2C9864
-6BD9EAE384CF6A05D8EDBBF717215EEBDBE39D9A0295E5A72577146C54710E22
-F1F98824AF56B4CD42CB2CD9A5C43AE9A9AF1F2304F611AF7F02AFBB1032853C
-BAD69FA08FB6E52A1A90E97EC2EEEA55C3E9B7BFBB877673C46D2ED300EE0BF5
-AB1F78565004E2F9E82EA1FD2A1627E80095895DA06142B758F3748168695A50
-A2927FF8B49F045DB7FAB47907A819707432706DA6B63A550C53FF11A7C2DDD3
-2B4D600FFF24FB218B9FB191E574C7B5E86D92C1AB3EBEF69B7B2AB88001A2E3
-62FAF0A7301D35C1490AD7D18C20E1A02579DC7260A3A8C88FFC10B1F45A526C
-D48B2F6C9052FAAA84867B0AE15E1E30530F2EB6F4348B085F21A1786A8431E2
-AD3886BD1FD3C97894E031E0A83272B1E78065BF0551019EED2F41F7F21A769F
-B5B88DCE02B0ADD326B55787BDA63628520A97B482691C7AAC468E5ECBDD0492
-98BE32BB438FB97B131E50142A5AF906CAFD092114A8138473BB8F6F9C9B8B37
-4E4975E93D669B4D3AA08CE58C0AD29FE72C3C4D9F0B07A62C5C91946CEBDC1F
-720BC4D5CF41BCFDCE8D80F6BEA0158F24D2120CDEE0C6F9356DA263BA317066
-906DA33B81038A652F14CA97541FE4A713CA3D42793A40D12BDCB4A8C2D490DE
-0B61667CCE15D99C478FA7469089C6EE457E13BD9FA221A28D29245A4AFD3A2F
-448AD1D7C72FC1D22AEB46B92949E1732C7496699963C308EB222702650EF10D
-E97B33BB92B2681237B2CEA754C6C877AC0C9C8F361F744CC108BAF0BE31F407
-DDD7BA2685DCC3ABFCE9EEBC885C85D999A782AE6CBE6B4496C89C24F07DCC97
-76FFB81203026201CC0A56B3EA7921B0E77CBD332EB57640CA85FC3FF2944065
-717A707A8A005A7C038313DFE08F1345F6CA5A6438847A31E86BE4C526230A43
-17AC422D9D1575806922E21796D7B91EC6110A473F24FAF8A53854FC65BDCBDF
-EBD0C0D6AD877884DEBBC12B1E511BFA52D2BF0D06B9CB470225CB002C7761E5
-4228CC345D90E07CE47A7837859A60C069EA89B37B281A2A905FD43A7C67C116
-7AC0916F27ABC022CC1E95DC19AB67D70A2D4FB21F730A0F8DE92E542B52D0E3
-18D2EC264F075E1AA94CEEEEF72131E95D046F5CC1DACD155753D01C5DECE345
-BA00E06BBBFD0527CB40C146D182EB89CA4B76FC566972FA354DD310BE02E9E2
-A5E16116D848F3A081690A7EBBB3CF97C65B27FB7BB5743115F1DFFA6BB36CAA
-333BB8DC016421FE4BA78250FE7EF55F6E3FA8B9B6FA419D9ADD4DD237A38DE4
-C6BE7B939D8DCCAD7E9A0D7591E320E02AD4F839C5638020E72CBE0361D664E2
-27D6D4DF8E3819D1BE71E05FBD3DC085AA71DAFD1205FCCA1EA1463779CAAFE6
-C943C6ED33B54B141FE31312563B4BA6609157712AC9440813DC2DDBFA2578BD
-BF8F9678F001D543A33200B8305B3901CA7DBEADE163DC0D2AFFDD2C84F1ECB2
-134F8AB0D33DCD42797FA57128E6BAF58F3B28D7CF87C2AD5E007848DE5212F8
-3B88E936EBBEF2B9827AD2E1FDE10E12D62D1FFE94314167F2F6638EBDDED0DC
-98756094DD45CF4D343F70F7F9EE030F957B1D6545344545CC7FFAFE28658281
-246497DB3C4B0D3201130E795FD2635975FF6B6891286C08EC0003271C370225
-B3653C508D62ED1638594A27FEFDA5B5458CE33D71B461F470D1CC29A02D9E9B
-2A9DF558FC2A68AA33B90B5CEF508A330BFF43079AD4A93304741B47C92C5E87
-BFE61302B759DC1261619845B2A76B4F307CC040A59EDB719558ED483A1DB01F
-4C762B7C73E7662DB29C52D80629FC600B6A2E414517569BED830A83227794D8
-C7CAB725CD2D9C5E940D1E8B48A074F948FF670509E1DFC8F9C1DA071BEFF7AC
-877670020888CE247A4CA87E00A18A141767D10D23104F43E3E9C3C1EEDDD207
-1D21E2D8E390DA1873B7D6145F91027E86B54382B92CECAA06AAA93D7870EF09
-BFE9D6814F0900D299376B153CA291B43F5B841B486051B7821FD34A2AD9D40E
-756CE3C07E4CD948DF99B9B40F1B97A0B36DF94B846C529A8053060D3FAB50A7
-90098F303C3F81F2CDE78B5AE10B046F7811D96968B70FFD4E4C96720B16D651
-E5DD171E5827CB8F05FD267369D420AD56ED8566D3271E51A09B1C53FDE9C7B7
-65B38115679BD97C4E48D10BFE59B46787CFDEF9EB1CD00DD72820DAC722EE94
-88B180FB8412CF250128312EE44F7079198361C0EC69B7D015CEF286B937A1CC
-DDDB40E8090CFCF91ABD1FA3062137FF0114FD8514D33ED6302E52D4CFED71E1
-5C7E2FD5A48475CB9228757FE90E88BF29C6447C6C2B9C92CF1C39B16F75E445
-EE87EA8CCF3436FC8C516BF8834AFE956AAE3ED1EBDF21D0F4A7AC2E10EB56B1
-AAF20FCFC18A053114F258858C777EBFBF7588CE91312488B7F8FCC59D500558
-D79E24EF13D6591F26E6BAD7B91158B2FB3CDBEA5E8AAFBE4BE2174A90EE059A
-B33C166833251A131EF55659B6DC19F71AFA30401059E78D57670A5225094464
-45362DA636A4EBAE9AFC54AAF319750713AC2E35764174321F7FD02E16FA353F
-8E688A311CF5227F599A0656A60B422AB0CADB5DAEE3AB6BFED3320CFD9C0C33
-16214AA832CB1A6638F9C72E3767D6EF7DBE2A6FA968E2107ED0B07616902D09
-D183579569F6CFD65B157CCB1DF16121FC602D2EF700B418AB85902A7BE2E160
-44B838520C2FD2B7C533DABD281E818024261610305651B78EB1225E80AB6353
-F39F6A12DB3CF1B4A964533A1078C112DD4DA9321175B66B67D8DD3CEB53E32D
-7408A389D7C3FE095105891E1F64B24218891044543F2D656D62C6C10F73EDE1
-AB33AD61250212BE0DA7C80C1795B2819A21A8356D1213211F8B2B57B1CC9EDA
-926D28672299A43C453784F0A87A3C4BF1C55DB3C2B0484D0AF4A0E39485544D
-B16CF6D72A9BEC97C4EE51414846A8FC32545515A090AF0EC12D00D03523B2E3
-8DB878D674A3B091D3798F3A0095A5508CAC1D49B36A383561712972B4422D5C
-5A9E4B9026245146A1AD5AD72956475049E8C3EE5EA3C99B57312FDED8372703
-D1EF9DF6F493D6FD2F99BAB5021B7E41C0D8D9E4BE535C16A2C004872CEACD79
-028D732058F8DF3C23E5A208D8EA5910D8E49332BFAE56FA7F093F6061B2CB1C
-A50D317F8C89F2689E293BC17BCDCE1882CA0D39F1B39C6B0F6B6983FBAACF3E
-77484360F6A838142FB2831259C6B9F9C1BDC1998486597F6DBE1806120B18D6
-3AC7E1EDFDB6992DF5C8FAE9C24601954D468352B741A496B99B6A3D554B95F1
-C24B73816DE27F885EED203986D86FB474ACEE528346DAAC43DD0972727BDE75
-17DED6189703B239E1C077D0564B0AEF8EA7C42105312B37CFDD051A71649B3E
-F542C8B3EF91BBA4446DBF3EE9B77EC7B940FAEE87AFD3F96D4FABB065DE2A27
-6B4873EA8F981CF8565C6697014945620F2CA01B6F0BC7540191E25E3FAB2D59
-FD2BAF2A5C8B68C90C73427766A088897D78EDEFE941E87C663FCE22DE9FE413
-D60BAC118A00A0AB20E13717E04DAE8F5BC040F3FA7DFEEAD94DC8557514E573
-96BB270F57721BE8ED8F0E492BD5EC77F49F9DFA542CEEB017D3720C5B49646D
-D852520E58A1FD185346668AA2006551ADB24AE84894859FFD053F7AA496DD5B
-367765845E488B5FE6D4541E9B51061F9F1E48079FBBE67CC9FD1272B7912712
-6498DF01A8B4E7330ACD8C9DA4D6A25F7BD082B8C92B0FD78CCC91DC0C63D4AC
-B6B3AD6FF738A338EDF1874FAE7C0A9CBF0EB3BF7DEF41CA3B9D7DFEA18E42C9
-1330C12662F7EB6C121E05F7DF14F77A5EB0C34FAE921FBA792E19022E18D3FA
-666844D95A2CDF8B31A8D48182BA61A9169C318894871089C5CB64ADF5F67475
-55A9D14B8A2518B18CC18BB237D89E79BC1AAD0208ACB0724E4838F9955447B1
-EB4490EF44B7E90807C9A9B47850818567DD7005F78C63D9E5D6979FA3CA031B
-1EC06E30941691ACC249B420111733F00004D5920F99CED0B81BEB34B512F58C
-F0A2D7CC434E54020A3CCCCC34025925F51E4A462DD52E2A1E116B957ED78D28
-3FE24FF8A5E52DE16014EBA0A2408AFA65BF83F2A29F9D2539EBD068D131C7F3
-0210FEDAB634932D5F7104703226CB2E3C3D9C882F110DF7B696E8A02CD4D018
-9FD1864709EB6899A63BA9A9E6D8EBC58B70242612AC4EEAE78723FBDCA849AB
-0E54A463FE477BE743A255D23947075E353538DAB98D82C1E89D14D0018AD0F8
-196AC30E10E16BB7429462BFAD5F32348CE1807691D2BF3F161C66E1937587A7
-D726F23C5159B18A5FD1BA083004651D8030C78E5250E7E7DA31974D1CA2BC2A
-8FA7C0D6E3D543E1129049E3274C6EED4AE924FB1F399AE653A062863FFC1F4A
-BB8C97F90EFE22D842C2D2F2BAAF271042B03504748C9840C3DEEC3CC2991732
-95F11D979988E2E36426878F0800706F6D89049DBE838A8F5E473E077B4B7BC1
-26BB0A959AC528F0A5FF6D77BFA179E12F1DA1B63BE1C2E80B858116D3D2024E
-056A8403FADF95EF78D06B798F30026C2CCEC0FA7ECD2E54632CADF2B1E9D73F
-CA5C78BD8CD54D003E96E8709A78A3788353A89040CA580485DA45A49CA9AE6B
-8F27A0621E6D830E1F50A31990B9EF5173B0E5DDB7EEB5DD92EC21ACE9A698F4
-18EC9B61AC0957DEE7755BB462173FC952EDD7B62AE0D8B8AD91D371FAFE71AE
-ED55D00BEDE6F8FD984CA0C3D572A4ECC22D1056B3FA3847600F85784F10F55D
-EB00B853B751447ECC0AA3275303E657078C23B6CD8B20B29D679C797E4C0F92
-7547B1B90430E9724AF51B4F1AB9BBCE56664D752BA3DD36BB11BC4CBD52EC1D
-197C4E71AC1CCD079F976F278E39907B30B7B8CC1FFB92918F0840617A60C662
-32D87324B4897F8E860AAC9D484DC8BFC20C2EAEB2C37D0DB4278186AF0752AD
-C9378214463F9AEDC45693E63478765912966C072CFC8D6CAA105B28F59E287C
-ED24E2115D16B2E4C4D2889BBC2CBB2549AC69F1625F486EA7C0747CC2BF7A04
-75E9A8D5A7A35458BCEC47C069654F2769D7F08DDE0F45E8A8FA1736678EE8B8
-F996F0C6F496D699FA8600BC064B00D1A3D73512C84E8074B2F487C8FD841912
-7A7E5121CD2BF32E1436F32DEBCC66060B4C9686C08B6D8109F05F18F800E86F
-8BFE6CA2014157B9F356EB8FA152AC7EB2D8DA5F282482EB2BABCB5453F8D9B9
-64F31D6F2B4BF21E76F09000CFCD6021E7DA6D26A37041D7DC44C6FEDEF0C483
-0B53757B30B427CF7AC98DBAB51436D2A97EBF25B27C8AF25EF789254980824B
-557889563AF21CE34346914CD56EAA170A74CC0162C338DCAE2839884662BBBA
-A35BFE64C5B1C2870C66B6398C06F90BBF625B616F1F1791254CF64D6DB59878
-7E27B158AD235E3E687F6CAD71392262FDC44F988E5D2ADFD9D42E2637E86D09
-10BFD14264FBEEE172589E38CA5AB5B1100426C233DDF383A64245B43915B822
-675A8F6087D448C89AF181C49FAF89A6B9956E5BF0B16F473130084CBC05FE51
-C8314CB502630E7E684839293CE192FE7439DC504719358AB90E8D66B69F1B93
-367219C1D025C37DB1E57F42CBC173BB4E75181D89269562D1C712CBD2827DEC
-DA0952D0FC900DBC4BF39EB369AD7911B5DDD6AC6DAFD7ADB52D3A3FE119589D
-85501F6C0F95B153C319B94DB87A2E8AFF222443C955C1E7460FFE41FBC469A9
-3764AC013752156B1F2719392E286EF7D482E0F4E4B2797E0E52E0DCCD3A19AD
-034F878B91C19C84A7B9040E91F3A888FE6F09A470F519B9F12FBC0DF3D270EC
-8DA89D59DF845E5C4A637BD4F56DC219425A49CA55D158298F6527820C455B95
-7C80F54BFD56799A0304A6DC8D195159C2718844CF6CF9AF7D3148516961929F
-C6AB49197143805AFA8F274019DEDD82FE9026C467BEF53E5756474C34A2F0D9
-41FC609049D0FCB63D723448A7CAEF723E8B4DE6A3549604CDF81DB674AF26BD
-33895DA62CC36F180495FF71852D338078412D0E8471E8D8AC26F8329E3B73BC
-73A1E14DA357F55A31B752ED99424BEFC12327823885357C1018C12F8488F254
-4F1A47C818672C43707B24BC19C717F303F13EE79B85583C1B351867FCE0A255
-C2A54C3CA9C690CF16E867C272A188BA80BD4EF3041C55D364A2176249746F05
-24DF7232CCAE60C164DCF57C6DBEBDBA155E3772DD94D7341D5E17BB8A200908
-1F81B3814A1D151285D94AA8D2E8DAA390B4FE7370C7DDF75BD8EB4068C6334C
-955ACE1627AC01117F707B04B3B88A57C706286117F67A5640FA957C3FE59185
-2605647E7BD817FE28FC4EFBDE7CC4FE341A6006486C297A662FEFCB8E5088D3
-926035BB585B56AFDD44F1EF36078303D329DFF19F90386555159AE9BDA25910
-4D1785AC2018CE5B1085D9ACE6F5E77D3A332FDA35323827B138C5E557335694
-DCD9AD4A6CE3F0A58450FED4183B1597A96EB7645210D63EE4A73DA9FD6A53C0
-1922B4E52ECCAE0CA8EA8024641CB8BE8BE8681EE10619DA7F69E3B9AACB5EF6
-97E7DFD56909E3B371D9A4BF5A806D932819199AD3C4E642900602E6B39EC952
-DF960918F5AA12076BBA49113773F0F3052B8E5C40E9B9FD87A83F9C0D453912
-395BE4E652B64C2A7096415693D37802FA5D6A887B501D316F7FA4986B35F056
-BC536174FABCBB0CC3AFE1ECC5383040A9A375F535608AC00548D70F441A089E
-8F94F6BAD3EF307DB41F330C379EC02964186FDE412377E724703230C930C109
-11AC22F4DC4AC4B70C741CF22A441A45C1464FA396B468BC570E2A71E5409303
-B0FE31C192F5437EBEA5A06488054DA6E6DAF3190D333EAAFBE7207FCE4DD244
-1D624A1838CB293289ADE75E1211A94BF8994DB912A8A351A015CC75C5E09537
-9FF2FAB482845FE9C3A24D5756F9B87F274D9C7AB565B7832C66B391F37C5E3E
-6205539B8AA8890403523F0B312924216EDA05D4CBD982B61A46B47BF23D9780
-057B7D931E4ABBC00DF4B05AD3F52EC6AE332B798BC15E18E0F99C09A17766ED
-7283F912880199E6A27D946ACEB67BB2750A4A5EACEDE2CC4F732B2A3579A961
-E2FFAE9E683C938280A8D73B646FB71ED8AD9F098F5A549341367067C56AED35
-3F74FCE0B99DC723A60C5179C85AE8D4FA3892C747B569796000F05185B9AD82
-AFA4385C3EEF9014BF520BC86BBF2D67393F634795970A73AAB7E0440A45CBF4
-9091ACF118ED5A8F1525989D99B9239F48D29DA38AFC8A5C2C3431471438943C
-F8FAA298D4608100DB37C43CB513B2BC24DA40F8C59BEAB39F617E5C98ABD5B0
-309B4903DBFBE99B9A008D72FDBC0D2CAE2339A5B926CE2D9987DE71AB80333B
-66BC02842D219CEEF5D07E054BED7D4AD6834A0880A2357B782CCA63FCA0CBE8
-F7B53718B4DDEBDCC025CA9B54E2552EF1ED117875DE64C77EA6AA59E633D54A
-D8A422774F690389A9A0E976CDFCFC74B83D6D7EEE22FC1406B524A3A442C7E5
-0D8A4BE8EC6631A6E7B44541E770CC081BEEDF5AA9CC0C23F3E2E0FC556FA809
-B09C7F4DF5DB81D04F3CDD5D0AFC46AA938CD487FE0C804B8CF207D6E8147E3F
-CBD94C1F05535ECEC0348BBC0A743EB9990430AA7BF4BA8CC416FE0DE5CD4B5B
-BF5ECF25D83B9D84637179C81C52877AFCDE92F357630CAA5D54BBBBCBDE091A
-257A28A5A015636710D9ED94A70C6361FF9BE65498310BCC2D287C6D75B8C6C4
-4FF58E4367724D15C1344696281F09973A4A9CE31AC0CEA0AD00EBCCB3A53947
-B3F3BD9D5036F7C55094D41E46DCAC610DAEACDE02A6B67B2FCBA6BE1BD5BBF8
-C44FA77FD43AD461E5653B818409774F2EB6077A7015E163C9113A284182B360
-EE14002896281CB22A04A78E4DDFDE692601E9BAC237005D2AF5EE8E646D710E
-FB0940C1A8F221B54F3FD48BC280C4756AD6456DC5CE39DFB064F5201DC995A9
-2800F93FB2ACAE91A32A6691DF1EC8A98CB482307819B6EE76FA9C05EBC4BF6D
-043BF12B5889F92063638F3051A88266279E0A8CD4A01F63B6B2C609B7BDF1EC
-32A227A0F182388B7E5028C9A5A325EA9A32482073FAF9BA11110E72786D2E2B
-AE3A0F0F272F14D92BA90974982A73713C76C76E03EC9DE5A3E3D99FE66C977E
-8C39316297336A2884201328CF43C6CCE7E113215D85FCB16FB9DB54313797CC
-57EDBE5619DB8D3B89397B56F6A13028A7837BA2CBE2C26C5EF42A694F954E32
-D5F58351353B2B87CB90AF442EB95444ED0886CFEF7DAC7A50CC7DF1328C8CD3
-31305DBFBE35982EDF1331DCE81C932EEED99C09B43D76472E05CE91881D6221
-02386072AE1A17ED30090253B67E6D9BB308549EB69FFC26AFDC73DD9C76F8EA
-3829FAF019156BA35895AEA3D13C9962E8BB787537A47E70675831DB6C8C5846
-1201FA091DD7852FC316DC5397F6306A388B0AFAA578177721D4CB4DF20E7ADF
-22AE9612C68C467B66F1A87797332FE34597A0F7621520D8D9119CB2BE3B1703
-A264A1C5DF7539D2508F6A30A21DAF6B233B1F0F7198C8D117BCB6F253B4BC40
-EB3EB52D8A8C85421E3F8AE984EE222139EA83FC32D0C40A356192E7590E6EF4
-B49B2083807EAF07F745B72EAE79B632D1480D92393E024329C562E42C1F8CF6
-D5B5C510EECD0E3EFA5BB705CE548015CD85FF4EC11B5834FC59F98A474C0218
-4C0CA15465177B77093207DE773A13ADAB6134C7A46BCCC4701F943D5253ED9F
-510AA5C145CB4C67E4B550CABBCA69BBD0C03A7EDDE6E63D2509FAB073E85421
-FA403EA74AA4429628952BEEEA5F5C871E8A1785D7AE37A89DDAC0BC72064474
-B6E991E069DD3B1F6C4D7D506035DC0DF5DE08B84554D6DA58E0C080A3ABE7A6
-EA52033C06184FCE5265ADAA85D3620943BE261B65B27FCA618AD9A09C435167
-300A80C7DAA80FC61D035D549E906B1A87561E6E4CD950087030AB5845930D86
-2EC94F80A0075337F31129C4A2CDEC88E4DD8B17BD0981B184F3D00448FA519F
-DDB1ACF6C37C7D364B4F2B263FD0BD7A025C7300F534BB876E6EF56FA83D149E
-AA9FE0FFF9F96D6DCBEB2E5C3670F299BF55CDD4E232DD20AB145AAC87D8E272
-1DF801AE34123F732E5B98EBB4FAF751932A0FFB4BDEF75AAA177455D09C866C
-D1DF6B24088BCC6CD2BAF5DAD171D3F21160DCAF85F3B84EC038AE32C2468136
-DEAD14E2AD782BBB67616DEB6A2E9F5D047CAFDD088239C5B1E3F1183713A7F1
-7B90AFCE69C9CB9D0EBA4AF186AD4C493FBB3B4F368120345FB93AE94BE2E646
-EB5B765EDA9A45DF0092F37D0022782EC7AAD45D30D07C2A6BB85450D6C73951
-9E03033E67A5ACDB85FC9C5CD8990A2F3B1630F9F68E33E005BAC492C6BFFBEB
-CD5CF5640C8BE62B883D1011A2C7CD83C3CE2CAA0858B869D1D0837073E0A1A2
-7BE74AD9BC773A68B93BA19A62970D4AB7F990C24170DA92332AF4C9134F2AA5
-37950A8F3D2E430290018C0796D04C84D37EF64A71559962B14C5D4D302A3D2C
-BF9AA62C5F4D8BF3EA6F746FC15C9E7812F3EB1D7471880861B526566E890D70
-24A38B9BAC15084576E1BA179B81861050C868492AC7F750472F33861D8803E9
-BAD769D838A0D3DD47D3A2F6F1BFD5541A3AC5048130CE408F1EAF0FE4C82442
-5E96A5A91A9669239F0AE363665214C8EBC2F13672FDAB6A9D977C647637E061
-BBFC6618040999FCB1C2105D73D45FFD1EB4694B834AE78BF659FD040EDAB627
-0A1A04C95DC1BC41A51927A35CC0300AEFBE1BF4C61B7E88697C59E77EF6FB47
-72FA8F8519F17B5323B3CFC018C733D731646007CED207989866B5B64C492854
-AA93A4FCEDE6C6A8F926AFF0FFAA3E00BE9B2EE20764011C34729C5361C38602
-E3BB92B29E0317C670EC6EEB70F94A7F5BF58FDD8B804229CCD1E6F7E13D9B0F
-72831870F61577A6C5802EAF242CF9E164B5E0441D88174735FCE91E117E580D
-7E2A194CFE33713BF819C0BDEAC3974F87DB65F4634D0BBEC763141ECBB34D95
-7D07C309C50B4B6727567BFF35E2E31FAE7630982708728C3B0A129D7F6A85F3
-7D42C6F0291BDF235856ADF083473F96D78534B8A373D8FFEBB3A2B09BBA5584
-7727C1AC882D8374D7DF0368F5F930B538545827BBBDC772E9DF96A07F3C736C
-EFF43EC4EFF4873A5C843D5D4C81F8A5EB11E78AC44E7F6B6C5E20073297325B
-14D21EFD4F1378E425F51FED926D61478410CBA5BBC9F2F2B3BA9EDB2840870F
-6F516DDF014AB85BC5881C6A12C7CC0B37881EBAA11D266859037571D5B7BBDB
-7E449709A6476CBF11C9D2A010F33B165FF623E1FDFB1FA81CEE49ADD6901161
-AA96A0DB835BE217CF441E192EE0CC4DBB64207F9BCC5C8574CFDF9BFB17E027
-8196BEADACAFA74060AA2985008B618996A083E0F718924E716B1EA8BC60E262
-C8EBDE3EF194DAF8CA4146F4A0670BD971DE4200731B02AE16F66539B8F9CE0C
-BDFAC0C771F3D9487F81834439FC1365F49F93A888625111BA96779A9A064416
-C66C1DAB90B7C8162E5D970C204002360FF42BCE88D5972FF26852570586803C
-F6A93AE87BBA929A14404CD65D4404D032344540676F46236E2A32486F15C2EE
-E8ED19892E9DCAB9A4B80C8E73DFFF7CA89AB7FF28C02EAFFB735837A27CE8C9
-7F91BEF92CBCC140D80B85A9AD745205B4882D786A6E334CB69660A3C31A99C8
-C4562707DE843BCD86064BF12B53AB12B9C4C47453DA3ED101668E18C8A98B0D
-9F22F79CECB75E794BDA3AAAC6A7987FB672800F2224972E901F926AA4B23B5A
-6DEEC4CF9E64A2BD8F5186B875A4976F00A0341CD7650CAFB6937AAEFAB2DC5B
-078B0B19C91E1D1672BC3FA443DA440F8CAD73D55CB07B27C861558B36A1D0B5
-B276DC61C92264DDA737312510DEECD3D5984A0E9582F57DA3EFE21F56A08831
-EF8B55CFE8F8A15A98394BC4D98F02BBB23671EABA3CC2866597058D62A604F4
-63EFE2F4E3DEE453441EB06BCBCAA517C3D99735399CC9899CC133E7C7EDB299
-C4D0E9B68208E911CCBFBED467A21A4F23593B3FF229B425C37F4C666F013BDA
-2A7CC21BA3493F73D8582702E8E70348C6703CFE4695460EEDFE19C17DF3E77A
-AC4D63440B4D7C16956A6E278CD3587A471A59C65C28321486D595C881BD4EBF
-A2A53BFAD025C0D0691253B73BA2669AAA2C4969F2E4AA497A3C91091CD2EDB6
-13D7037083216808161A5C2E573AA1508CECB37F5065FF0EA3C69A4DEFB1D762
-BF07F4163034C6CA3E67C898A88090C87D4E05CF801896D595497B90DAE4331E
-F984280025D2A7795848C20130C782853B001B493433AE6A0B4E4BABF6E544B2
-B99DD6222A22F106E0A4A0613B0B0AD5D264E53F985EAC2581E6C295EFD3B4BF
-C2FB90762C519DC1781A1EB608D93687C84F82EC4A3B4C28FA7AEF0BB3AACB19
-5CF26A3399BD77515D73837ED1D618A345B8E7B5896A8FBE1C68F7AA0040B308
-FA91B1C1555FB392BD4E89612D51F4FAEBB96A7C9A395253
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-cleartomark
-{restore}if
-%%EndFont 
-%%BeginFont: CMMI10
-%!PS-AdobeFont-1.0: CMMI10 003.002
-%%Title: CMMI10
-%Version: 003.002
-%%CreationDate: Mon Jul 13 16:17:00 2009
-%%Creator: David M. Jones
-%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI10.
-% This Font Software is licensed under the SIL Open Font License, Version 1.1.
-% This license is in the accompanying file OFL.txt, and is also
-% available with a FAQ at: http://scripts.sil.org/OFL.
-%%EndComments
-FontDirectory/CMMI10 known{/CMMI10 findfont dup/UniqueID known{dup
-/UniqueID get 5087385 eq exch/FontType get 1 eq and}{pop false}ifelse
-{save true}{false}ifelse}{false}ifelse
-11 dict begin
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
-/FontName /CMMI10 def
-/FontBBox {-32 -250 1048 750 }readonly def
-/UniqueID 5087385 def
-/PaintType 0 def
-/FontInfo 10 dict dup begin
-/version (003.002) readonly def
-/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMMI10.) readonly def
-/FullName (CMMI10) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle -14.04 def
-/isFixedPitch false def
-/UnderlinePosition -100 def
-/UnderlineThickness 50 def
-/ascent 750 def
-end readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 22 /mu put
-dup 25 /pi put
-dup 58 /period put
-dup 59 /comma put
-dup 60 /less put
-dup 61 /slash put
-dup 67 /C put
-dup 69 /E put
-dup 78 /N put
-dup 80 /P put
-dup 83 /S put
-dup 84 /T put
-dup 88 /X put
-dup 90 /Z put
-dup 100 /d put
-dup 105 /i put
-dup 106 /j put
-dup 109 /m put
-dup 110 /n put
-dup 112 /p put
-dup 113 /q put
-dup 114 /r put
-dup 117 /u put
-dup 118 /v put
-dup 122 /z put
-readonly def
-currentdict end
-currentfile eexec
-D9D66F633B846AB284BCF8B0411B772DE5CE3C05EF98F858322DCEA45E0874C5
-45D25FE192539D9CDA4BAA46D9C431465E6ABF4E4271F89EDED7F37BE4B31FB4
-7934F62D1F46E8671F6290D6FFF601D4937BF71C22D60FB800A15796421E3AA7
-72C500501D8B10C0093F6467C553250F7C27B2C3D893772614A846374A85BC4E
-BEC0B0A89C4C161C3956ECE25274B962C854E535F418279FE26D8F83E38C5C89
-974E9A224B3CBEF90A9277AF10E0C7CAC8DC11C41DC18B814A7682E5F0248674
-11453BC81C443407AF41AF8A831A85A700CFC65E2181BCBFBC7878DFBD546AC2
-1EF6CC527FEEA044B7C8E686367E920F575AD585387358FFF41BCB212922791C
-7B0BD3BED7C6D8F3D9D52D0F181CD4D164E75851D04F64309D810A0DEA1E257B
-0D7633CEFE93FEF9D2FB7901453A46F8ACA007358D904E0189AE7B7221545085
-EDD3D5A3CEACD6023861F13C8A345A68115425E94B8FDCCEC1255454EC3E7A37
-404F6C00A3BCCF851B929D4FE66B6D8FD1C0C80130541609759F18EF07BCD133
-78CBC4A0D8A796A2574260C6A952CA73D9EB5C28356F5C90D1A59DC788762BFF
-A1B6F0614958D09751C0DB2309406F6B4489125B31C5DD365B2F140CB5E42CEE
-88BE11C7176E6BBC90D24E40956279FBDC9D89A6C4A1F4D27EC57F496602FBC4
-C854143903A53EF1188D117C49F8B6F2498B4698C25F2C5E8D8BD833206F88FC
-BD5B495EB993A26B6055BD0BBA2B3DDFD462C39E022D4A1760C845EA448DED88
-98C44BAAB85CD0423E00154C4741240EB3A2290B67144A4C80C88BE3D59AD760
-E553DAC4E8BA00B06398B1D0DFE96FB89449D4AE18CE8B27AFE75D2B84EFDB44
-143FD887F8FB364D000651912E40B0BAEDDA5AD57A3BC0E411E1AD908C77DCE3
-981985F98E258A9BB3A1B845FC4A21BCC54559E51BC0E6C22F0C38540F8C9490
-88A0E23EA504FA79F8960CC9D58611C519D3ACDC63FB2FBCAE6674357D7F2285
-4BCC9F54D3DA421D744D3A341DA3B494BB526C0734E1A8FC71501745399F7683
-FD17EC3044419A88C3979FD2ABA5B0130907B145A8462AAF0A9B511D2C8A7C7F
-347FF6AC057E6512902BFD2918E2CD31DE615F5D643764E900B60287670AE18F
-FDE15545D8BC69591A8CBBB275AFFC9B14BD68DF0AAB32268FB84844D4DBC7BB
-C591C1AC5102C50A9C7BAAA848DA88B0519F0F5F0813BF055CF0E3C86F633A04
-B779D2E8E656DB1E09A66A85FE21CA8BA5523F472A229E83F2C4E91ABA46C733
-F3C7B5775B06C97782BC225C46385BEBDC61572458EFC5CF4190AB7A9C1C92DA
-29F84BAACF552089195966E3AD9E57CC914D20B6962BE80429A16D4DF1ECAA66
-36C4343FADF0B2B48F12E2EB8443C4AA29D00949255F3968617F98B8ABD4CC12
-048B838EE243A21AC808BD295195E4AE9027005F52258BFCA915C8D9AED9A2C0
-80814F79CF943FBE3594C530A22A92E11BE80FCEC1684C4F56712D5846B0749C
-9B54A979B315222F209DEE72583B03093EC38F7C5B9F9BCB21DBE8EDDAE9BE8B
-75ACE6B12A31083AC8348EC84D1D29D2297A266284B7E9734E207DAF59A25F4E
-4AA38509E993C5394FED76E6A2F25462685C4C86C6E8CFC9863338EC1428BDFC
-74616BB1BC8948B0ED4C87C15B4405F3A7796F9DB3798FFFE8BD0A94E834817B
-D5E9812E308D0CC920470A6F2CD088FCB80462BF7CB3F039A7DF3DAF5B2B5355
-E083A385CD2EAF0FC181E40E96DD7E9AB9EF5C7E6866A13B8A54718E950FE097
-EF0951A357114F18CE9933D28B3A77AA71E3CE884661F13284BCED5D5FD1A86D
-543E588FF473DC2CF9A4DC312500135F29C2D0174B32018C8DBD40EF9A232883
-710A1F2AB2CD11312300ACDF789A9B7B93D2035D81D1C84984D92D78A53A00C6
-EDA94B24BBAC1AD17774A4E07E6F74ABD90415965616AD540C8ECD8C3A44EE4F
-7F4F6BB6238C5062D63FA59B7BF08BE93FAEA70A2AB08FBEAAF7DBF56B95FD93
-03CA406543BA6C9527D0DF01F5108D31A51778A5EB1C93F27B72B46146A353A2
-01CACBC829603B9989A87CF64528682CCBA0562A8165B185C58A5C6BB72F5E89
-500ACCAAB8ECEFBB2640E99EAEEC4EA979AA793D013D61D8ACF8784FF8D9398F
-F6A252A709324FB39509F0B3A4E725E82F53543383C6765BE556CC897C758208
-AA3AD37B0406E4A79F8F0A6C1983FC73E71CD858C0DB66ED66D5D992978614EE
-1EA91EBE191E082EBA1FC040AF19A2202575C2EBEB8058833E3520FA03D2F915
-85C1ED337E457B9FEEB0C6EF2735EFDA6E0D05FA641BCF698AC6B97751E8306C
-4DF00A39B8581FF53DB8F8525FDB196D85950906CCB59B8EF171349AA3B567B1
-6A00819947A995FB383C3C1709C9A2C113B2E40BB832B7D4A0FBA0B16A2C455F
-55809CC425C403E9668DC66BE45B71A81C332FD4DB279D22A2959962304A8F18
-085893DAC61317D24A8F198FDAB95F3B86F0AFD35047B868A9A17037A2829A02
-BAB042F75F349E197A7EED41984C2859754CAFD0251439921C248B463B516951
-2E1322C80D73F9CBCAA63A585450275AC2492E4D3FB78E800F788254DB5E610D
-CF788DF5C70FF99892BCDF16133E34B24B77C8F097F546B87C603DDB8998B66E
-BACB68BA27462AF54AA405682EC96D701F0D474DECD5F95CA2102DF639EB169E
-D518162C2BAE45FF698B6DE15FC6E7DE48C336C40A670FD26952A6BAB09115E1
-991F0073419F2CC2A1C08BE91096936AA0C37E4ED3CCCEE235476074B8FF1125
-6BDE3701F85532D8BB64CCC927CC335281C95EA689706F0AC717DC2CF680C754
-E5EFD7FA4BB8880B2B727A964C876D4A223069D4E6001771F0E23EAD2A4BBC80
-E76675297B2EF05F52BF4E71B3EE2BE3048CF088C79540113C66AE98B2FD3CB1
-B0741A215FD070882C52765009D7D711DAA2508F19AE7DDA15229A856AC49BC3
-4DDF40814FF96500E4B9B02D412E94623C5FDCC76C0FB8E42DF56A904FE49D65
-1DA7C53901B2EA71AB658A464D3ABDE27D9DB8D9E0B48F64E61A2495AD5D8DAB
-B5E72424AD017DF37964AF911BD7FA21A5EB4775DC8E95EF0C0EB856B00D89D7
-8172A1DE8530767D317B8256103E53CFB877E10686A04F5A08F8DC58D843DEBA
-FD5F40597588663D103689F6EB3EB14D06E18C8078F2538B43E712DF491FC5C6
-AF639256C8C6134B64D560D8476DEA6329D995E46CC4BC78841C59E73648B47E
-BFA7DE0846422F738454AE77E822A083405289247BD7C478BE4974F742CD6051
-E99FBB1D1B3FBABFEE855174734EE45E87D0AADF32B1283B911162A9955847FD
-38944D70584FAA6B1A7191C5C134B73F98EB632B69E2F0C0F94156787C34C8A3
-7622A029D58F9626B74F8A8A1F3803E0BC20E0EADEB1E99B70F1BD9F980FB751
-2A842843DE42EB142A84D5D3138629AE9EAF6F3479C423E8829C8816FA6EFA27
-DCE5580E65AA9854B1C64163DC318420CD993C15BFD76A8BA1182860A6B03D6D
-22B8CF43CFE6C8AB27C64842E239CAE707D3086BADDE1D7C94E3BC96319470D6
-8D26915C575CFDD03271D6BB9DE86A0EB6EEA6E768B224A626C62A9AB48A6EDB
-44F70BB5AF991CDF9736D65933E81CC57A78F623F33EC9AF535F2F25FA4EEC90
-D50DB7E87F31E971A75A33A301CA6013EEC5A4E179D695B33DADF2C98364434A
-42926776000B610E17524162253F6FA638D6581C18F99EA0BD1D2E24D2424ADF
-C05010D08192485153DD03930C7BF45237593E484F9851E6D464FA10FECA5D9E
-0C8CCC97DE029030900CDBB491C5CF226DBF903CFE7735D939C3FDF3A20B70CE
-66579B28B99313FEE914E295388C7BC8E055A2E54EA3A8206D3C8F4F7C0BA5E6
-E519419FD8CE215F7B8E9BEC604A9E3FE272A0328A24E31997C8A91E0946BCF1
-6943A97CBED2AB9FC636B49828BBB8B89E0BBC2653796431224895ABA5DAC41E
-1854BD9764E86147FD7624F736F40DE3B7582EDDFD15C2BDE3F22B5A54D7DF10
-B87A1301CE85CFC061689A890A321412A13314AE96DCD3EDA75035FDD8F4AB9B
-897A2C68263A68457032C469987970648BA2D88B1C5375DFEAA35A917B8A952E
-EE670427942AEDB3CB599C5746180E392837D371E15D860620ABDB6AA7772C40
-A5E346661673ACA530BE3D8E3FFB895E5DA3DC23B1B43C080C77F7E47847F0F3
-F3AA5CA9E4BF75FC5EBD18D19F21A7DAA3B11CABC6E4070A15F7DBC8B05EB6AA
-A02EF1B078EB66D61D6AFE41DA9B36FE7EC9EF94D1EA26282A9871E2CACB3126
-2AD49C2D9B50A6E47D8F2CCAD50992D1B430979A45FD9E76182A19964BB2A1F6
-51779A2B258DC1DF4C2F3074621286831F3848AC152DDD2BA561E6586ADA88D3
-598A2CE2CD048F027CE0008B828BD915887D7785341E8305DF2346ADB76BE99F
-87B02173BDC334E9221C8DF54114A6B24C1C5340299512FA6C8C51AB4C8778CE
-178CEF531C6D1B5FF0A1BE8EFF767F959BD4C345C52699A29A17B2A230842BF6
-4B011217D6D24EDAC3F6D53482786F1CA33169B90ECD499407D37CE9B70DDF78
-7B7547B32952535BA9ACD1E244447AE3FCED3AF28717083CF9590A09780984D6
-AF0743C82AE4FB3E2BB2856A4153A3967A023FFC35382D6C22D84A924900B6A6
-3DDD400E6D2418DA6C27F2FA34C075C902B89EBAE658B3C9A18EEE449DA5A379
-337DE95CB7AB3F0970CF1A5D8FAD8090E495570FDFB2FBBA79244780D8035547
-C5A55BB21A2270F724BF5D442CDC5BB9F09BE0CAE59B1C2270F0BDACE698F2C5
-DE8F66BFB9634904B161F5BA2B1950048300D69BABD312D58D89C4ED527AF7BA
-7DA2478EDC2CDEE3473DD8A8ED9D891CD1FC21F23013228BB3281B71FCE959BD
-6F8E9059D682A7FCC5265A0620992D4FA8D78377EB34CE3ECA070EE3707239BC
-98907DB0120CE42ABA32CF97127E28382BDDFD685674279F588D4F951216C355
-821361790F64C2CC720DE97E8ECB57326C43EE47367628E05769E106868B54F4
-C33C9951908DF6FC4F5ED2C7787BD8FA591BBB3E9C6C1DA94CC5E38D9B20C886
-7D237572FF46DD896A4D6163408EA6CEFAC398EE041EAE29D577E75326CA17A6
-B072D47A7B13EC441CE6DAA042ECD02134CBFA6809A435050413817193DAEB16
-A5882C8AEA44BCF36E74E9ECCDFE7E19FF5A5DD7A94E5AB4F8702C3DA7F42325
-23C808670A0490F5B373DADE40814FF9650241D3D69C91FBC5ECE728F827D9BF
-C928602E05477903449E079164CA39859C4BCA60C579F490AA455F82B5050BB3
-969AFB478E0D4A257B3356EA3CD62051FCE6C6B1929CFF85BFDF166BEF658E10
-3A55E007F38EBBB248B3F0B8ED1925106B499B762E45113AE1AC9DE09644C84B
-9C08034B297314EE69BC32DB6E7D7FB9913CE5AC17E7335979E9DCCE2BAB3725
-1976155551F9706A576FE0E3ADCCF72C87683291528ECB749CB0ED291966E239
-B5E3630676BD409E08F85BC1AEC9A2D4135376284A96EA24431243BD6FE8B966
-95F11A4BB53F392E0AEFEA623064FF8A7002367B0A515635CB2D2DDFB9B4A8D7
-FE721754E81BBA548848A235B91AD4E4F7DB19CCE2F61D277FC00AB956EB93BE
-44AB4970CA56BF59506C94ED160FB1E25D3DF2988A532BDB787BFB8539D22986
-FDC378AC31444E63C4727FEE121A43751043849E6DCAC5B59D0FC703AAFBBFD4
-E8B7C268F21615AD02CE9DABEFA27B5FE6A6441B619539CAB1F810F1263447AA
-633F5DAF483752EF1A0421740E3A811D2D2898CBF53E7F686C9223FD7235F02D
-6F90D2D48CC20AB87778DE3C6FB335E0F0EC20B5DC5B65223FE117526DE2C72F
-FE839DF93CB2A7D66CD900CB325F891E311BEC932F703FB4FEFA29DB8B9C88DD
-375EC71B3D58C7BC59ADA91971A3BDA1ADEA629CE6CC92BD542CDDFAA7706FB2
-6CDDE2DF07E56D6741916AE8E8744339816F3E6C38062747AA9FDA2A2678A6B7
-EFEA870AA3A4D71B25EE3013EAB1DBA34401B867C7A41AE51E0421D41D3BB83C
-E120C8FEABA6E5DEC53A689C21426D4BBCB68CB37568761C360E6D4E3596FB7D
-F4DEC7918E58C0293D12D6DDA7E9DCDAAD7C939F55CD1BC4A228B31E9A904156
-DA6B40B08E6ACE674618B768DD681C772A3E55FE096CF949CF3B0460ABDCD891
-D17B37B355B29AB5137899C036F31DA026244FA25FB798FBE5105BDA29F46538
-D3D3AC1001A7BCECE64DE94FFE6C354166A0F97256137BDFA07F6E22A3D1D2F4
-9588DBAE95E895BC5E64DDCBBAA8D0A22C229B42CB717FC711E7E9DF793DF80B
-9F14754585A3C7E17F37B32924B9F9870DA8635E3E18BD1DCD81EDF01834D9C6
-B33F23C956C2FCBFA47D84422F583459D827D1E120B97694D12F1F54D02379C0
-D288F7104F3FFCF4F76E3494F4ACBD1BE3A15543CC680924C78A473F8E311ADF
-8FE00A04C6C393DE61AD3EDA5BC031E2353076A2489391B52632387CA28A7B93
-FBB065A6EF3658AE80B1ADA47E9B2539E73A71FA75645F85ED8ECC257FB4CF26
-B6C912DE9D0F9899E70BECCB934AD32CF49A093371A9F73DE6255EBC39DE1E7F
-00D0CBDABD4D0383977E694890E71FBE5C376BE5F3A80C28987417504F515C50
-909F3D31178BB9B1D085BE514F71B910A9085BD6122DDC72A150BFE266920E49
-5661BCB4BAB51D6DEFE32B616963DBD989FCDD1637B294CE4E288655FBEFA1BF
-7F25BBF8CF17C2D5FD161A7C2CC9CC7490D9BF15A1D35B3BFA43ADE256E88BDA
-BD490D92907C57BAC408A575EC84D6AEE070148C7C9A91C03B09FDBD792E8FF0
-C0B886AAD2EDD86541E5E579359D40E3AC312ACD3D8FD49F71BD533DDF8859B1
-BAF17F1884E331DD07CEEF93B71D492AEBAADF7A263450A7A72210CE630A0D37
-BF024BDC09ACC882816B8C22C62AE38A3A8D0F6EBC2B1B2C0B8161A8B076DD5D
-4B779C0788546BB4CF57332230D237856B00D79C28A7C01D11F44B7304F69075
-94B97A745DA43D1BE561372CE611C345A843834E46AD9DDB16CABCD3FA33D6F1
-F6B5C0497F5EE5400B305CDC16A7EC286AA4D45D0EEBB9DA06AC9C5294D68EC9
-E4DC3CA2B92CE8FC0526184A86EDC7AB34D67E60AC12D9CA8FD300235EC968BA
-92C6FBDA47572BC5600F25249F60AD287CBDAE980E747FCBE7EE5CD323E733F0
-63553B494D3DDEB9CC1480B5C3BB79A28E419AA65B18CB297AB383419E890E2A
-CE6F98C9900CCB4675280A10CF060B8D220DDA1BE55DFA65715EABCC1AFAA271
-B1F8732341613E17B231231A0D24D4D7FC198AE04D89A99C4536217769C6FBD9
-5EE24A6302F97438F7C0E311C878F674B4477A5ADA3952CDE4055AC408B8174E
-86F8FB797646DFFFE0ECA25D1BAB9A9F71F3926D3D85AA63E7A8C931D71E79E0
-AF1EAC26FADE468F4FF7F3861D14C10E3BE1F9EAFD6D3A544E8108D5DAB5B180
-3950C74818BC8AF4758A108F462EF1826647A49667F5E482038C54716856D9BC
-35F29922846D2148F92F943E951D7438C73D6A60459A8003174036C64E1629CD
-155D47FD04B03C023AD67CD5A70C98AB556EEAB8C48169706E5B352F6505D580
-AC945171BFE62E81F8F500438AC3B64D857BA5BC54C2C4BBB237F8FA51296255
-E66A92A61FE13FDE781D393557EB72CEBAD86511035F775FAC39A0479CCD400F
-226709118F887F47CC2ECC8F79816D4A945B2845F50AFD62D8C9A9BBF4739496
-9E644BC9F7B04803B7EE75A09EAE94365F6F374B4FCEB0B506C76297564B9B6B
-8B812BC3A33929AA94692572B010E6210AEAA312BDFC88BF302244AB9D587A9B
-919823FD01DE12438D960944D1977800FEB49E638C32E5B188B1CA033E0C37EE
-A142F746367888AA119535F0CCAF7EAA461B790EB089D2D6962E28A398439BB7
-9C9943654D7A2D765B46BC0DD1F915327F369162E1BA1BA83110B93F442905E0
-523BFF5E279508A98568CD5CFD18FABBE9D17265A9042537872831BF5F1F340A
-8D3E6DEA1D9675E87B3425FAA0172DBEFD7C28E30906B9FBA65517C9B58FB6BD
-E0D474E69BB90B0D130A32C4130974A1C961CF064A5BE8EC1056858553FFCF7C
-0D78627BDE04E5D0B9F6F72F92B61A915DFF7AFE7DC3807891D039AECEAC3F50
-0A09579E661D3DC3022206061E0250B09A05CF198DF82D4F28FCD2A85F717630
-90740F78F242019C349B65C2A455597DEE127E914C372C6EA0E250402117B903
-1D7D6FC7153D77458569B2E0E6FB978B06AAD616BBEB70B58E0BCAE1013D4405
-873D2AA3C41309993563E652BCF2B244451D8FA1305BD9BC2C57BCEA7F065670
-A5059B0B17303312E8B787E02152FA92480CDED118924A9D490B2BCBF9A560A0
-D4B55DC4968ACE1019CC2840E1AA0596F8E8D4BF7119B047E55B0FA01C69B9A9
-F79DA6C9C9B49EAD94943613151247423679B7A29AD2C71BD077306FB9EE0AAF
-9AE4B268C8BEDF3CAE8CE885ED53184F9BF2F55AA05933071F536B7180F6301C
-A04438DB5BE00037A8145A4476A6BA1488C5E9B527EA5A322865AC63CB833685
-B3E281F4D3419E6B66BBF044D93283561AD355C7DC207AE56BD45469CBE1435E
-8606F7AB41B429CB51C1D75104AB55D7B0186F727736A90CDBBF875CD0AE3C73
-8F1401B91AF8CA5E65E081C7786D0460EB629A0F17204B3FB404E75FF569B185
-B0D3E2BE741D02EB9AFC4DEE1693A9D89077419F2C378E466491633E73E02B94
-B0B42549B30F1DD2EFF04113EE6187E5976560B3B2B7582777CACDBE18ACCE6D
-AC6D45103B3E19E92B0E4D09225609EE583A3BC64435BEA42CDEEAE494BB24FE
-E94B0B21B9BCBF990691693F99A920D26423DCAEDA7B25E73EB3426381F3011B
-7047905E196DC9B21204747CA78695DFEF27CA5E4EE6198A600B455B81CFDB29
-F1D6C80E715D4B0E4223F51036DB26DFA1727151EFEA467A83C25B3146081EB9
-CCF59A17C8E75D5CE5A71228873CF30AF3DC8569AC56EB3E1B39D77D998F47AC
-C5E9174423EEF51D2584029AD2A21CE90DD94AE450B4B741FEC8FD76386B753F
-358B22799BDDC20EBE71551D62FD5E0C0CD00ADB761B0FFEF320D87F537B3C0F
-FB10BEBB3F1B9D32ADE942F7FFEE1700F4C693C0F2EA06C95A4C69BC5D3A51FB
-CFE27CA36D3281F474733E46F7F397F3DA423C82A9EF2802AF3C5A04FB34DDC0
-48D1E8A9443775857F785FA4DBCD253E3556C2237BDA6EC7CBD20824A5537813
-C73B64CA052ED00827C1A420DC079ED5F6CD35718C62B3BDCC61FFA203613FCF
-D20BC7AF88E580C343DE93181627590F6375BCB053B6873195C4278BE132C60E
-07003FF923963612BEAAAC606A1BC87DE0E4C0E1184BF0479BBFCC415E0952CC
-3A452F83E856DCC3E2A4C4F28375271245820E6C93050547EFCA4D66B4279DE3
-EEA32ADC95049D8F3BB4AD808851A9333FD24C964EC9AE7F87A5C13DCE97EA5C
-8ABDA6E6C9068FD3E88EC30C30475123967F089085B7389DD29CDA0616DDC8E4
-FCF546FBBBD4DA201CBEB81EE5E83B088151E7C4C75513366FE0F152908B4D4E
-DD58BC39EB106F4A22B6BB0418244FA5F78B8E071259A67EED7A567EFDF781F1
-E23A299D7B0A23373F575FAD522DB994951547C886558A1433D99B8EAB12C33A
-4E25B40F1A59C3F9537AE99B89E303F37ACA22B9B76B0B10A8B1C6392761C34F
-249A3D7362B9EF53B00BB7D4724F92547627F4BAAB4433A34808391D5E8C1BC9
-7903E9A567B2BCA0FE30F3565BBAB145DDFCF00626F5BA700871835AD241E38D
-1A327A381295F11B3AE9CEE660F828AAEA79AEFC70ABAEEB710B6D574C29E346
-2626652A3F2A054BDF00E06A7FC8C2481FFBA0381567694BDABF0ACA74E180C4
-C4AD1D35A4292D9A80A8CBAA310F9C68C7ACCD981E526F1D803C930831CF3D23
-B4636696E0D04051194DD777C46450FFB673E1BE6B6534385B0175913241F612
-E1494E2F83B8CB61EA6B202A06AD5D389A29A9CFD8A63D21091CE7A863445EB2
-EB58A52C60AD94A456FBA6D1624E721B1F4BFCDB736B766C3B16FA2C080B392B
-DF51B4C97FD2E326C611B5262D232CE5E77A0B6035F54FE2568B0E373A8B2DC8
-C21FB10E5A126B478D66EADDF1A610A932532034DC5A30204169E4BE68681703
-992F39DE5081FA0E33F7E2967B17A17E0333C7E7C62A361D2CE64A0D23F3B07C
-8E4FD54E63C0D3E89BC3324705F87B4953005B909B9576C18FE38E6A63A557C6
-DD3D294DA682A8905AD2E0F7FE8AAFB467C87FB1F5A249244AB916E1AC8FD6F9
-DB9473701FB194A30C0A9A51A9B2674FB1DA439F74B97ADA9F0C60E524B69020
-035D9C7F71B06E0472D8427CF7274B8EE7666FDF3BD1C32E94A6F9B3C8A9F812
-7856DA37D152203E823B89CC8E6956DE277ACB15D35783CE524B709BFD47851E
-E5D79697D41A205E8EE56E71CFE51F38C6AD16710CFCDBD1A797A018E9BDF43B
-CDFCEBD25275B5ECD015F7ED7F5DB4B7A3D0760EA5566558751DF605F13E23B6
-282D6CC8221C1EE41A96D08F95C639567ADD5BF4E31700D88D6C91942B9AB0E9
-7BBB9D73A7D385B8DFA8B84F3C9F1BC2A3554966D8371CD48F1509F837BCBA36
-ABB63541BF5D1825C4E1491B7DD697AD987CDA35D8543057C887A7E783713930
-022F6CD9BFA3501BDFE827CB83EDA6E14D4CB505E2111EC5326DCDB90F257A2E
-8FBE73996D48851DBBD41C2DC389FAAEFF2BFC01198FD9F3B8FEC865D3B1E7F1
-4C7E12F9D25EDDE303331FB78E15767EE9EB9D88F8DB644B6F5A25A0C5F40ACD
-7D5415F4C40E7EDF12365E7FD7452AC4F9184AAE1D4F0F033BCD1FAED769E31B
-EB79A2D5720D941BFC7B6AF0AFB65A6C62CF396EF00500C5CC84462180705899
-00B27A94EEF276C19020285339ABF532983D090BFEA226976C516A766642301C
-46B932AC7C864029112B523B21C94A1D71B5FBF096628A9E0EFA1C84D5348740
-0C9E272558F84EF619DBC26853E2F75AA5E44CD1D2E90D7152FB665A7DC7635A
-0D068644D1BA57E9CAE1DF47A2A4B554593DEBCDF35E98FD928F88532C6B5F33
-E2A46F6426C6CF8DFBF79812A69015A68B3A025E25FDC836C242EDEC9E881A0F
-106509EC90AF1EC8636E495C0692C8E2E0CCB8A23D9CEB502F071152FE4F4518
-F02071834853C5F9AC20328D3A34686FE427189D8F6AE3832C5A7216A9D6ECB9
-C068D77186B4FFA050EBBDA15EF391A26CB42AB7A29C71FFBFF9D594265BFBF9
-CC055687F4F80BE9D1639415894D671DA96037B329B433607CAA99BA4BE3078D
-332E754E5CF70155102B6129A63CFC7A8C2E28E202BD5FA730926935C76F6431
-C4181760E9EF2BA7186E7FA8FEF2C9877A4DA85390D77BA01E63FF2AFAFFF6DE
-5D322EF28DEF3B62AF3CBF8A0F9EAE1F2ECE0D3F8EF18AFBCDC142871CE9C2CA
-7F2061500CA6CCB3EF92BA9988B11E117A65880447D9ADA970330C0870482F0B
-421FB53D6E9E424DD8D6FA7082539AF1A8FBC6FD244AE779907553AF16E3A4BF
-AE2A7D56E30C2BB1C6EB953D8346903D8B7B5356918DBDA3D33E25AD0BADEED8
-7459AB6D194067ED03BDFBE18102E357B30A7B8F10390A7CEA4F60EDD890334B
-65FFB9528DF09D3AE0C5A22413D7014FA8382252D25186B20164BF80909BC52A
-C2A23BFEFF0A5980FBAE8213050CFD3840954B63338FE1398B19ED51114B0377
-56A30A53BE05C795B2366B15B820686B4AED1E24D6F9DF94F57A6936BBA87AC5
-2A0B85A6B21E50C832A8D8A719147185556DB086B185B280F9E233E41A94D2B6
-0B735DFB9761746514CADC2DBB97169421F2505BCDEBCF41FA8868C19AD5ACF1
-41C1ABB3CF74B9A6871C4D561D9685C507BAE742AC7AB689F6FDE157AEF6DDD0
-ACEA966105BF8A4C6D4153C4D85B449F288552FB2AD18665C0F5DF361C59D354
-A74423CD275634573213444ADCD61682F0076E937DD7CAEDBF47D04E44100106
-909BB22C8B9504F75029CC14D2321A7BED2FA8A2BACCF41A927F04CEFD224E56
-B218C29910B1028787ED72BC953BE4B9AC4CC16AD988D90454BBE549FFBA647E
-8761EA001146EF60D53727254057F7470F3E088C1D9D6877842BBDADDB1F34CD
-534B28026BAF4A8C0DBDF76FD5D373A6ACCD3F8F063A1841063C8373643201CF
-F6BC13D7B24B4C27B350E09F6F227DF084379E432506B529329580B635D25A28
-171FBECBA36B14BDE4062F1C84275CE7DAAE32667C9D4EEC35E3623DDA735DE6
-EB0D38999B5CEFCF466C735A421D058C8479E187C50BC3A2FAB30C975E1C680A
-4D6EE28B11CB7BBA465266238C537619DED7566D394336F4D56536D3B4D81136
-2F8571F6AC5AA06BD3218042FCBDCC375DF149E9DD2D55B10DBD189480F0C391
-98F08F6012D7750D221B4EBC0BC96BFAEB83E98360A014CB6978C6B81EADCCE9
-7640311933025C588D9CA9B234DAB52D43497646F75886966878D27AB1D96152
-782279FB8870798CA4F28C596F3C5599D863EF7F1439F73E5E2FEDD4A4C5060F
-4DF867ABE7A335355B9CA5BBF1C9A5E1A2053A081BFBB72DF010EE4A2B147AC9
-D6F165CBC3D9FD1B54F384DAAAFE63D53C0FA9727209CFB50AC47A538FE72192
-A2A7DB24CFA117F14CAC28375BE0A456B329257EF7183D26183D3CD2EE2E46CC
-48E45489CAAF14ED815653D05DE8DC3D686714D2F10FF5016F2C3D396E5ED7CE
-019D4987E973C9FA29AD3E9E8C73F4086B4FB7C98D4A6F30A90A303AE4D14A5D
-4D6222021E2A9A662EFFE6F478D35E67E494F227AD58BE9A737339F9F7FB13ED
-09C7C5788A0C39C6CED186BDE1F0DA2A5D4456562289A8FFE7302D3B2FA94912
-428D7B463E90638695F49C91ADB35551C3DB7E3A5BF25039BF569B68A4ADCCDF
-7277AF69463844549BF10773B90F6A0AB9E28E5CBE66A398B10C7E8E59E39102
-4986578998EA6A3679A2FCC38BB300DAB670431E49E960A992C95AF9C2D6901C
-7D2F755E90A89F36A89B1918AA245757C49FFA99085E89174A0FE5CC0BF0728C
-5E491E3282FB86B4E9D4F5E55FB2EC02278A6D7F0A6C2212D16E708EF232D4BB
-7F701A39CC67D4756856651B141C5F6744D69B204A3A1495B171B25BDB63D67F
-47C67D25B086563FAE758C6D7ED001D36943F30850BD70F99464BF1825496479
-F112767CEA5F445324A3FDF3C1BA1418A80F74FE5697075AE5236EE3077E1CF9
-469B7B82B5A6282FAD51BBA680B0EDE9B0DB28F08FCDF73B44AE4E4C8B94F715
-88F1725BE60502AD235AC2D18341D4D9FD77204BC807E6BEFA3F4A7B0DBFD93D
-3BE7E5A8B5C7B486CB685391C171A728437A7703D02F539B199F1EF6A9E7A32D
-1A4F31CE81008F5326495F5CD9B19C614347985606353FA2BEA8740501D4BDBF
-7B69468D3387D810C6D28F137C45653F29D1406857693BFEB24E6CBD899F0331
-98E3B1BB401A8ADE3AA45661D4FDD42DE8E3F7C807CDE24B344D6BD2A1F4CFAB
-EA28A7BE51CED6DA3127ECC1AC1F23ED9EF8D1AD8EADCFEE7E92C0927A336AF5
-CA80ED1F9D994EEE12C1A297C5C072F538FB1EC7A0946FF68C3242DE7B51ED85
-DC13B39D205CF4B493FC07463D208BD0B765EFEE5E35AC4E398CFEBA4A46BD80
-6040801B2C8BEC4B31A7B6313B03BFBA184AFB8A4A86B7AB1C238975999824B1
-F926D1FEBF634A68A8121C5C424D071041ADF5C2535EA512C6366EB7F0E56B64
-F07EF033BF9072FBDE6CF8ED1FF45F05DD2518447BE45B30EC78A4A07A0AFB89
-5E857CDCBAE8077184CF0105BC8D49B0D18EEC6DABFCA62C2904000897E327A6
-99869283FAE3D02D206AF49E6A866FBCD86B8ECA23E1FD81849C040C1E58B73C
-FEA104D2272F4BE08F1FC114B839613141F3A2453512457385C0311FB06DA825
-7F09D830ED87160141D8BBCAFDFC6DB5EE434273C3466F7B79A9094ACBE35B8C
-92E4D522D67FD01CAB779F099D68476C616112B05D7E3D3D8F4924876C2EC85D
-2D34B49B98E2191C0A264357DA7FF7B0AD849937CB9C9D95235D13D19A584918
-919B7249B48E1E73F58CAE8E12652CE25C8305E66F03B771782C75809A450C09
-6C360C80319CFBC7B93088DEFE54C64E4C6C386DD5F8C70E56B4B1D6CB26518A
-00BA00E6BE865852B2DCE51A48DCBBB0340D083729D65C1FD2CBE960832019F6
-74F029DB3E1D85A52015C2D9609BF838415FCB24E17861E466EF78AB1537D812
-B890C9130C7C74FE3BF702261FE23B9918C371F09B928EEA6B1EA010B7AABD63
-752A1C851BA2C94ECE23420ECF05ACF23A36B6A58075EC0770403BEE73E2020B
-9EA960DF20711301CB7BBFD8CC7F1ACFEA4B0C63FFE92FDAD3E790552B13E8B2
-9DFBDB7DBE1173275330AF79F42904A4736E17F9285B55DBAFE3EB8D2E477E84
-CAB7EEF617285EEB02A857C4194D822CEA9B3CCE35CBAB944F1B0F86FBA87979
-BBA31FB56763D8E4853A700242C4D8CE7D9A46BA09435F82516261FFF94AADB9
-7AD0D6C6FF91E38BD7C84CD20F5F2189923541E1D4FC8066432A496284BAE5D9
-E277672F667117F80BCB85D1F7545333D4823F3A0D5940230351CD3EBF181C8B
-A60CD6A156A486CBE3377C5464446D0A69A4072910BC8A63871ACCAF6B516FFA
-8ADB96DCC45FF403A4A858399CBEDD7D5846A1FA086FF53E084D86C4CAF106F7
-14250FF4B97501A276A8BB03274FAAC00BCEE1206A2420903B9B71732E47A306
-C74E5AF4BEB4ABD721558E318F43EE354881E9A705C42DF1DBBEE15381CDE8A3
-2FBC4418BAAB58219EF81E41D792EC6477FF1918C4616EBE0CE9ECC363BD6FE5
-B2D465DF2F093B8FE310FA6A2497C1D980E02EAF898B1537E88D886137044BC3
-39404494C821D96F479935D540788D6D0044CD5217D8570A24DAB583A93E8CAA
-CCD7B098EDAD40DE94A00C3957647B654A115FE45EB185D6C3F46CF3F71BE52B
-8BE7A3965566ACB52D82485895972696411F2325CCF844AE29CF200F6DF14302
-612A1F85FD0010F6F413A28F1979E709AF681797E67470CB634CAAAAC5EE7021
-35098557D0398A800295C1CEF5514D2FF1E3ABCEA192CB0E6D3504ECC87935CF
-2E4C380E50E1DA5E0AD132FC65ED50DD76D3D0F80D75E2E16DE5DF49FB7EDE89
-9F8E7BA5A696BEF16747C4A1D49B0D4A541EB52742B10B3F3A6D398370C1510C
-1CB6FC9D47283C6838CC1C0BE02EE58294445D613E71C47FE57966918A9DC5EE
-724B66E21A3FC428E8A12EA83CE9E3883BC256676E9B57491EC40EF54CAFD695
-2A17B96D3BE5A098BB25D1AE35F0DBBAF5FC34CB3108BB81F621D2AEFDE0A7CA
-54B96CB0F2A4688EBEDC2E02561461FB90E0F6F4079B9B87CAD1CD292DEA77E5
-04E403D88757DBC7C1047EF412FAD1C11E8989CC37B403026277711976E74044
-44BBDDCE8D1F462BBB62663E5784BF9639039722C4FE68E050DCBBA64F9957AC
-1B11019A528940847871656B59B0759AA023E18D547FA04EB885EACB7E150633
-57DAF50EE51C5AA0A06AC6D987FBE6D9D07246525EC8CA9B444EF0A136339EC4
-715B2F4D25A17A1A33BDE1A82C734CC395E808ECB55220802B9C04FB715EE362
-4D9E9A2ABACF7A6A91DE0878F1866B853AE64B086E75F04737E7F6FEB0E0831F
-513FD6098E18C3B214F07AD77EFA29083ADFAFE8A6C3FF18E7318964D09E8413
-D3421A6137CB6A17664513A229E4BE5389B4F485E31A052B74941B65A52EDB4F
-530D51C7051794D53E018A92CE59B63A1D74F0EAF075
+BF1C2DC348AC0AE6777F679E2F62A0A3EB19B7F08114AE0E56A3D310D6958AA2
+348E1D304BA8C4389E525553A8791632EAE32B6E8D2193932B44D230FA17EDC5
+7D407CB83D2501B0D2C9E86FD23E21F26DBAE2550DD4ACA051EA0A0030107676
+3643176BAFB7DF0A157151F7625E63296E325E2C3E74BDEA10C3DA37A73F9972
+4821E1E756D3DE2C1FB121371432AEADF3328894170304038253421DEDED8B45
+D3F70E52362457EA58E5B63D0B8EE3D7135E6091EA05634353493ED6593927E2
+9687D1A48580F7F0B2CA894C85CB5367D9FC51A77EA785885AF12FC7448B9462
+43EABD4F5D990B2FEC51379509554C785754FD40D86BCCA35C6ED48F8ADADA5A
+4CEEC78A7014002CF3AF40155DD84DB2B8EFDA0C6060927EC46753166ACEB656
+5F01DFC610A32091D482F28454A428DF97452222BC3A9AFB83A41C464C2B3003
+06CB5E11A1DF57C36C6E9EA13C0560C3CF08747B3A78A64F1539B2833CC7A1D8
+2ED8FFBA6DC1198273F504DF98050FB9CDA5E43137C7F1E663C681B01F41322A
+AFE44AD6BB391A1B155C1F60901A525D650DAE07EC557D47EBD84BA5D7F89A45
+3CB09258DB4BB81FAF26CD976155C3A0DBEA41762EEF1889E2BF8A26FEC208F3
+7ED0A8BE0D369EB999707A229E2E2AB348CBFE9469F627FD1868B1D859DA30D1
+6A0B07B461890FD84A9102AB07CC1FE24CD65B81060BEE4ADAD47DD938085856
+F4813E2D3788094ADBC35099F5AC7989D591F023C0B61996E9DB2AD03BD56D79
+D4B18803DEBB5F69B29620BEBF01FDDDA9E60FC8C709D8E9BFAEF1DA3EB6DAC0
+8B52252386923B2D6CE40DAF8F5810031E23854AF72A95B69B9DCEE2194C3A74
+65E896A0EF8E6BF7F0AA7A1D4D6DB87DEB12B809256C0014C601166BAD79818E
+9AA9BCBBBDCE40ABFEC62AFBD42120770729F6DD5070181660ABA34DC9E75593
+8FF25CA8B30F349A92E7E4411EDE4B2F3B93714D20620FA294E917F95EEE8870
+C42127454C4E749117599D8732F38E6BF4B188F3C45084F79DCA0678C6D79134
+D0C87E40B35C2CBD8C5302D5F15FA79F333644386052DEA93D2F406D3F89CD15
+824714E54F892CD74332144ACD48980DE8FEB36BEA2379015B85E12652BD1379
+555CDA9881F559500326E7C500083DADB0C8C37858DBA51FFE65DCCA47FBB3FF
+847564A9A681A595A9C54DF839EB958E6A5FBE28378D766128BA015AF4357BDD
+EA2A8E0A9A63E0ADDAAED1A55A48484AB69479738EAF7D14229F82D4CBB41C74
+81689A9AB3BCAABAB4A2547CC2145AF2730C704747289BD54BD101BD75D2CAF3
+09D12EFD6F8055856949BC9B232B84FB7374C4B43F23A0C3B640D800023DD852
+B5C4C6EFF0C9D910548A7A605AA97D3B22D392314D7FF5E0FC18DB68C7E3A79B
+F53EFE2FC361E1EA45FE9B4C870D5E191E899C63A3D6ECDD307E5CFF41DDF001
+432BC2E530F527B8AA0A859860B0CFFA946F15F6401C0F4165EBE21D3EA19E59
+9DEF37099B55709144305344F17DE5B93464FBE4603709A341A9CE53CA03EEB9
+42F882818C1B51E2BF604E7B1A00075F67798D5D8F1EDE65E4EA6185D238397D
+8E6BB6F45609E22665625A17423C08AA17154BB67106A35DF716507A5BC681B1
+FEF45B04E78A5785203F467C53FA59DFB1D390932C668AD1DC9DEC3FAF1C271E
+A55E80C70979818CB1EFD512D40A9DE190ED0D68512A75D32836798E26A36FE6
+2331CFC33009FBFF2646E94179D30E51BB24A2BAFB72D025DD008CAD39FCE212
+765A0319D695456680A3AED138D6DE6DCFB546CAC9802FFECA429F333ECFEFCA
+F26B8FC2B621D5DCCA5B96F71F24060B8CEDEE1A73FC675CB6F235849BB88AA1
+D5A948AB04830EF09BEA424313BBF6CBF1CF3F4B8C8E6C61A68B7AF5D7AA9ECB
+E68D00537C112DC4EE9EB90AA437D14E6F825503603AC5380337E7C56593280C
+A058BF0FB37B18B7CAB29419FD8746422BAC07C4286364C1AEB2A7A528870DC2
+535057F36BB89AADF5DA75EC1266B8E268989501734C17CD4C440E0F9C3A2B1A
+FC2B0A6F5BDF6C7840AD625EB21F704EE1EA70391C20FD35CECAE0C0A0BA4C1A
+5E1D940C2DE9A49CF791F762274EA0935008CAD5C7475965F3036C36614B0D1F
+A97FD7AE88648A806DE99B7EEB1C30121C567880ADA4B2FF634F7E7C1D3D1DC0
+CD03F9B664F2107CE976B369E687F783ACB618842B9D39B82331A7D564AE77B8
+D93B12E13C772A1CB692403706B712347954F27DFBC14322A76D3AC9AF5BE7A7
+E3935AEBF63E296F910967993C830D247FABF7976E9C58247FF81183185AF2E1
+175C606FD61CD926FFF653C429E6B2B478EB3D32FCBFA6EAD9D56A241EBA3F0F
+D63FDEA7F2B29614AB213759D33749433C4828D68E8E26D613E96252A0BFEDF1
+615D035F95D99E573691D16DEB245F8CDFD4901A1C6F28C876C15BAF87759F0D
+5CD147E49E43F455CFAAED3C30CECE4F1C2EEECFE9E7FE72063E426B9888831B
+A41AB0AB32A7A966FA8EB7D504EC175CE8106D5AB85810D0D4225BB0EE3C75A6
+1154BD428891DE2430705D82E00962521B18007285DFAE7909319B5FC033CEE0
+C1E37609223B9BB774BD501F3C602F3A2D373803E1368002E3315E962570982A
+BD33937FC842C90077E0A2FC346228686DA1E9E7772E82C3FBA7B6D82423FB83
+FF394717EFD484035F0B3ED9AEA7924DC3589397CB08E7D637887B1D58DFA760
+A1663B120E7EA5C75F651F69746CD40AE2F1C48E7CDD96B1B409AEBEF02D4D3C
+288B6206E2C92CD5B76954B3101ED4916F109D9773010395B08B61372E018A0E
+DA7055441076EFDEFC72D3F172BEE407355E987A1085A72664F1E4628BF2D5FB
+5B93C7FEEA66892C3E3751C3658A578E72F0CDC99B84A98A65139F379F1B78FD
+054B754DB36F2922254804127E9DC21DD4DBC0FA0586506B9D6AC060C109084A
+95A2AEDDB11136B4567659FF10C7F0FE7426ADE351C2FC0A96AA84A9786164E9
+AB0E804C3E6FD75685C6E36C56E5C75FF93514718E2A2A2DFAE45F5CEE6E92BB
+992917178C107D2287C8403D624FC1BA8568C7E596034FF4699BFF68B7CC2BD9
+2DE4B25BDE067B045633D28D31AE3F10B69FDBCCCCFC820906B6DFE330FC92F1
+DFD2996E28BA239D14052FF7F7722EB48E8FBBBDCB0FCFD1C551511B31F86510
+CFE8581918795B1D39D4B5D1F2B3489CAA7E1C5FAE16E12088C71FDCD316EE68
+4FE9AD8BD4A4152229ADA7225F07419B36AC7A33947A2D17DED0D423089B58B1
+4EA06570DD47BB37A23D8D56AE79C73562B44FE14A7B09404BAC00A892AA4CBD
+772C1B05862137C41EF2D105B0A1F7E7A4352767BCB4417C9B6FC7BD4358F2A9
+2D1D355945D4AC60123A987A66C91A96E59D25BE58407DDB6DED8FEEF52DF142
+B6A095C9A94BE7CD15887F2AA12A1DD9AF3EEEC0B7278934893F71078E311024
+B0F048C2F099F9B48B6256E9D666A2A8CE916A02E4D8D58C60ECA3E60029DF52
+9F5E808525B3CACAD14592E51C0107CE1847C9EEBBD63F749A54A26784E1FBC4
+31C366DF54CF73E6BEAAD0E5074C4A1254735DABC1402BF6CBD0180625BE0D0C
+6FAA0CD6B66EC7D48828ACB25BCBF469262C0FF54824DD5CECE16D52B33A31DF
+172771C9FADEFC4C61098A819B3193892A769413DB8FAC7220EFB66DF5EE814E
+E025C527CA385145B63A35871BD3DA1A9C13451A600F218B24A8594357CA5E36
+80EC7A1CEB5D36BF348E9B8DEDACE64DB55397D854D9B5A8FB24E687E653AA8C
+9F39B6A345D59AF37CF2A6EC9DF4CD87FC552D90D3FEE10B4E7DA202FCEC9BE6
+F7B267DBA334939545B20D3D0FD988ABBD403244932E967C83B267DF55865077
+44B064166269B102CB9A0158A1632023EC2B74DD83C90C49E2AB037ACE1F51CE
+D75B88BC87C36E7B448B7C4E06E985551DCEEF05AEC62A972FBD49B83274F20A
+B92887F6FEF4A70D08B64C645986BFC337FD3C09601E213249FCF978147D4DE0
+3D1E5E3F943045D9F1BEDA735857355DCAA3D92249AD236A99E88871D1443FE9
+58C80DC1CC96FF5DA275DCC0A1134AE4D84381DDE93D139D18205F459A5EB389
+97EEC000B14135FA38287E8106412A53ECDB184A170FC7AC6DC7DF763C67165D
+2530A43D87E27CF380725C5D13EE3D639C4118F171E4640EB7B476A69F111FBF
+1DDDF587679F19FED3B32EC784B0B1AC34E31EB229D2CE420870C978A55E0239
+548E28293C11585D33471E13190D2E89A46A4745AAF38873FDC41260D054C512
+04EB7F5A82A8A584E5F5044D837ACC901F77DA023C7EE0B547C78381D7D7EF25
+B7C2F0B34E174B61E0E88F5A87B5681B111BD2C9C2397A3B181E2EBFB382200A
+B87CE0ADFA77E11CB469E845146AC38C4403D0A951B1AC76ECAEC4B6CE060309
+FC220405DD3C9436B72E028C3D50BE01FC70009A6FADE3E2D3B67EBA12BB5C18
+82F3131DACAFFC80D3938F1F585F5348BE7A3B75B32D4E31AE3E9A2F1827D743
+E89BB609CE6A650EE410F12378D227CFF1426800703643B0781CC75F1C84CBA8
+48606F3C414045920472EEBCE6AAF7848001058AA3D137C6B05B9CA5C1311DB7
+167BE8EB8F0F0C008B47B54D19326B50E1404333F7A2880A8C2C8858E58DD524
+D1CF0A73C84240DC7A264F61E255F2E59A9B449A10F4860890CE1C38111D9D42
+838FF1D009C1C53D3622414AC91A12B21D2A83D8FFCF1BAD72D31C1650357AAC
+E85061A1597C9BD2A874E7ED2D556E8D0F742BC275B4183A5E5C731BDE9516D2
+B95ABAB0E187BEAB9572CA5A38F8232FE17EE9821B3BC7F50ECE2A99711AFF58
+F59C3C10008C3CC7B0075991F7A9AD24BB75DA5040196B969113BE6D35540D32
+06DFEBFF0F5D83D3A3C8606E6C24512ECFBF08C7839A3C4C8B4753F08119BD36
+3BE627DAD55AD3D6162A2153C62676F4762840178BEB141744088B0AEC5F94D2
+CBEE63C919CD49B60D0A5BFED73B470B62FD1DE31B9056F2849012B19C020168
+6E9D4EE45616E71E43769FBB757B804647F08C2633970810DF5E8831B1978A5C
+089F20462D155AAB6DE01528D0FE1C8162B1A98B5D5CADB9164900A05EE58F24
+AA03E7D92CAA03F6890C702AFCAEEE74018D354EB4116CE96375A0794E8162D3
+F90605D151FCFDAE766C7316F7C387C0C5321ADB0DEBFED0F0EDEE9AB43E865B
+336A047933059162C55B33C1893EF09D81B908B4219384047A423D310D05D9B2
+F1737C0F4E720E66D220D191C3D17185FBDD26826241457F765D5FE969619768
+33916D698CF8A5A1E251B3DEF614BA94BBECD638426F3CA96201EE16E1FB11F2
+E2B2C5DD2459AC55BF8D82EF2A6A11BC96446FF4A02C78B291CD8F7AF8845CF7
+8DF1F8AEA736F9DC60F15AC72E76CDD160EC8D93B3CD545EFB1623276ECE0675
+DCCD87418B3706519BAF083663CB92805585589927A381350D9A48BCCBF3ADF7
+C824E4217F2481709B6CC41E8FF974A6F782B88613EE3361473A456933E137C4
+7DCB1A14027593A3FB482854FB877DED9373C4A2881B5D807F4D3780F593AF21
+163946599C21CE572F36C551AE639E49D3A8F925ACE842D708ED390910B44DF5
+0A00BD94E2F4A522D2953531DD69B4A14D9783E7E447D3658C17D61F77A76B11
+EC2D4FDA75D17896ABBCF885898F79DD87D2E7C77100982A9544FF169EFB1791
+B94836E63E4991A9C94C7339C55BB3E3B467204B770AF9388F4D3EE489204770
+0FA4A81407E5BAFF43EBBCCEAD2F92E607D6B9087F1302E19D8C70F9A286F616
+06385B13FD579F79DE1B91ABB5306CEEB97C9509C9294C93AC4DA72603ED6BF6
+554B17149496C354660A2B433AB9B45E74EAD0A36F2E7D88C7C0AC459F442001
+5AC86DD8F0942DD406EF86CABE1C1DB9852E09F6971223E52E2D2B423F7F6FBC
+88BF1F5E3F11F06C3CA912CFF08AD58C3542CDF1EB4421F66858E4970BAFB1C6
+200136ED412C1F956A2824680D3F5C175B4211C6B078A5785FBE84FED93E20C4
+1881991D159B5B1FFB9EB0C4677AFF41B4F2B8CC18339A6B43443A20840213FD
+A3C9B1EED588754C296A5240132ECAA4F466F938B745B46B5D68CE1DC903C154
+880FB9FA885667ED11F8256288D4569B2A790A3D00161BAA22778230E2D5EB64
+3262A9A9620D152264BC542F21F44E31D72DC779901913932774768A58FAA235
+313626331A728B1A5C564B464A1D34859A82B85F09DA6FC7E5EA019310E14F7D
+E51DE6385379583ACA3B826493A487D25760B6FB893F33D094067F8C0D2D8003
+8745E8D2167F423203600FF1BE35951473F6AB0DBB39D871E645FAE6C29381E8
+20C09183C5B0B740AB1403501D0F455A449F1B03E56F779FBEC972463C4B5CE7
+A243A62D6FE734CECB398AB1DD654DFF07DE21E1D97E3CCD409EB7763FEC4CC3
+E6272379F164B58830345D2FCF7D15129DC30B6CB130B611469AF3E6D5FA6D26
+3DCC34F8448F9339C38577FBFDC9C60F0FED3C219D096C470F7E139A31B17F24
+3E65DC04BAB8549E43AA6E5B069AC117D8D470A3E981E67A4B4994549298C60B
+E31D18160BBFD277BC391515AF94C182247BDD1CD318D979069CDBB921F61FEE
+CC6BBAF0F8FD974DE4BC6763776B28AA359CC33D306B523A2F4F73E893343349
+567869BC952C9E9DD9052A1211524B6390200D30C692C6FB4B12DEF580B4B606
+47DD66D0201632AFA637DD79C004AD492497AB2631971248BF5A356798E6202F
+1ED9ED8C5EB36870D394D297C45091529F85F6D97E297FF15EB2EFE3721EF1E0
+BA01F3ABCCE6D218B4A8B62CED0BB2B5F5270CAF8FBEE914DBA030E2D092DC2F
+A971EA873171155ED39CF92CAFA849A6777E3E725F6447A7D5603408A6CD9051
+964662FB6C980889EB6F200F00D6C73938953E1660867D9BB004095B70055BBB
+A13E80DC130EC2F359E5769BCC0DB309215F33171D3FB5D5882F227F5E5A2429
+0C358D29E751DC0E884127E7F5DC491C8BF7301CE3C12D43D3CB5FA3A91D4812
+F3CD97D69DB230EFD316D120471B9A9547F0FC75924216648D3C6E891A02A6D8
+FDE2C137EA1E85E7D268B6F405005199F63238BF6DB0D9DF14F4CA971CAFA3CC
+8655B674FA54BDA485827CFEB016748D1A18F184F0210278175285CB224CAB4F
+E0880E21F477138E1CF06895B773869D8858CDEC9E801D789D72CEF6C68A50FA
+879AD2FE472A9D90238F32E17EB1B13BD46E12EB625BBF81140D5BC14BC07373
+8D2C48564652AECF6CEFC70C8251EEC6AE4EAAE543766F43F4C637A6CCDA6279
+F19115DC2AD2C583538E4BD9F3A2B296F73C3AC9722AB21467241D4366EBD5E6
+AB0D80649BE455647BE6858EE05EA13A20DEB24D769CE317B58B12EAB84AF43A
+F6B22D3E2E78167314FE92EBB5F03476FBF0F30F2604B5C76D75FBB97EAC47B3
+3AB0BDE976303D34C53E1DF61668AD399ECB620AFC24ED7D6FF4F60CEBE09C9D
+8517AC6363C166C2D7868AA52E698ABC8A878E6508BA2818E1D6873D9C5146AE
+3BCF0101D15BB3C997DDE2E0193674881E9A79A63A0BB33812E37F4562F961C8
+343FC7E6C72759F11C31EEDBEC9645A49677F998A490F20A52116D7DB72FF600
+8E12B39EE2EF730A55310B3506D6E354731145FDF6A5B3765E57B4CD018161CD
+BBCDFF0AA24C75A3398B3F40DFF95D918BB6F350F08AECE4D3E377F182523DD2
+ADF9E9B897F742CFBDB364304B068B549E20C77B225C8EC6A44A910B8E02BAC9
+CEB321EF4EAB276A082E20BD88F49F98F696F213DEA8A7637DEC31C38B075393
+3DA0BFEFF1E15B0C29680307B3B3D75ABC22EA3B37031FD714DCC1F507C104BB
+72E4AE4C3D65095FDC81743D98045D00064107DFE77A4B16D18433FE51F59809
+E5FAEF8328BEE31FF21A4887AC8945AE7B4C325E6134CA005A91119D3DEFA0B3
+DCABAF2B49CE54489C474D42586E04CBBADDFF93B127EC1D8EE92D0F1C51EE32
+8E540A7DE3A3AE83EAA950B09B26D1D7B8F90D983D3C101DB18539FBD213A9CE
+1569EEC0701211D2097A59F271EA925C564272D4A503F08478AD14D8720BC782
+3F423594C118A77EAC0B638C8AFF26CE48BC7E028997F434498771E492A46D28
+D939DF89755DBEFAB9DAC3AECD09B539A3580E6D70031EF5F2D775E075C57BA2
+22DE4AF4A28569024FAD2D053000C8DE8599570CF1FDA9B9F39CC52AB413C598
+CB165AF30FD86464C972AF0192E1E2A3168DEC4E6689FCD40F0BF6F9E45CB5F3
+98F0236CE899FF08E4FCF82DE6C11D556C19F025B7DC040ED90A994DFCA0CC4B
+4A0B7741FB875918BEBDDB1014609BF06DA46566C40D0CB8F9E8B3DDED6FA0A7
+D8FD3BCF41AC4034F62455648A5D0AE4F69D1723B3EB5E38F4A22D2CCE52527B
+34E5953FD7B8F23831A2A6E12F666D681A4FA8B2F8FB04F9B3874B97179C1BEB
+E2333CB515E2DBA6D3A7858558EA7A6691D8490198F394890F77A6E29369A925
+7BD0E74C59F6C88EC4C694051361D6CE509BADE1D84187EEE7D098157F993719
+574A7BE37B56F8A8D5C3D33135A0DFA747CF1B54A43CD50FAE48C789C490E08D
+0616C0CD3977D1B5975ACAAFD9C9842E8E696F1BA2D83966D81F5D27C3F22119
+AC8679C609E0BF7F45CC32C8B22EFD8FE915AE5BBB641840EE86578056606B73
+18C9B4BA502256B37E599616C9831F5D8906B151C8867CE14562E421A9B3A0DE
+39AE7F5DCC2A9323819C99A8298CEE942AA0F1C64EC67B07419BB8DA2653B77A
+EC771C7A60A9501C7A2FA0DC77EE88D9C2C1463D8B3C2EB136702E69956BA053
+7BF5279C34BF0C78A19DED1E734CF653664011E53D637FEE65804AD9F4C0B7F2
+5A14529F20B1BF07E212B3C4EA40FE67265E0C423A4631130B4147B840456793
+1A31AA8C8EEC133A4ECC4DEE50EE0CB393633C5B1EC9023FF34342842CCDB439
+86B829A4DF28E08CF4CA52CCCCD92E0864D7753C17DB24AC7C68016325DC8433
+5B1671A7EE771FD8AD7BF50925365D9A113E8023340EE06559ED5ABA134EA8FC
+19BD987EE36552063893FEA38D1AFC7EB2BDF6F7F48C4CC21BE8E8AA9D970AB1
+2DF8BB40BB3F736ACA962291D8A3AA00E6F856A745C8F9A7721D69F091AD3C19
+D86EC51841B39F02662A5558948AFAC392FBE5CB7D2B85B99E39E67C2C6CCB81
+53EA6CA811D325D7A1D1D3E1249496222C1671B1D5380726C9234010ADFCEC39
+AB7242BB15F41E850318CDCC155562CFF3FA0BF4CC67F512BA98D7740A4643F7
+84A01614917D69C97F2D67242F0F1B8B32DAC7AD9DDCAAAAA1CCEA274C031AF5
+F0EE730829B48F31433768D472C7A3BF07784073ABAB4F1F438203C9B7FB749E
+91262ABF91C9E6FCD0C93B82211B4F8E6BCA148034678132E1701FC6A79221CA
+2E049D238BFDD872466762FFE0A1DE72680F6D8181FFA17630100F8A8105678F
+246D79EF3A18A477A577450A36E1654EC4E28D2469F9A19ED30D3B0D8A8197A1
+755DE32922DD1F43C80A0A44D08778746B394B7308792FF16CE00C6602BE2B79
+9848A1137CFCF884293EB240151B990B0CCD1CF32DE8477DD455AC2D535C4062
+88BE8D84AEDD1BB28AE2BF8E9F267DC799FCB1CA86E62959F4E914CDC5EEE88C
+3CFC2CB3ED8186317C197E0EBBA1827BEC619337C24C94300B3F1D79285C27C8
+26FA944872DD5B3FC6E3EE049EB7B5AD960850F1CC2478C163D5BE694A5B9A7F
+5686065CCE61D6FB2A3DE40732C50F4D855D8451BBB82F6CC7476F6D57C51F3E
+0475D31C8072E465B0C63122A820C84EE2EF51BF71AA7322D1518662DE4DA07C
+53A054EF8660C3D313A25E17D6316DB3641752F3AABD37CA24322A3EFF9E9353
+4A6EA578A1659AC47C7B591C3B4F161B4F4D1B5B79C097BC33AC6F38745AA097
+10DA843A24EC88FC30986A99F49DDDB7D1439697B3C63C558D98308FB0967445
+756CEAD8487E79D201B41CFE5E537967306C761C20D3376D26A7F0581DB2DBE5
+E9B46D00579480AEC9F6161889F1D24FAF7E6FABE5FDCE5A048470C1F48F6585
+88BA3B0D27528260E23BC6A47263FEBAF71098146848359A833EADEF9986C1E7
+A9066F2F8B3145F13B033F71B035FD42EDA6BE4ADCFF6B8A3CE2385F7382768B
+46A5D601315F5C373CA9148A5272D00DEB54DA023FE2669A1D30340A1C06AE7F
+D7BAB72D21A5CE218DDED746AD94D7C20E42E682784B4BFCF1FBA8E8C0A7AF41
+649A719B1A4FF9E6F73816E814D0B957071BC13A78A5B0F9B8FC2F2CC23AA34E
+CB4DB3D1C80DE5FAB98D0B9BA15FE2E880DACBBDC523F193DBF55295CFC26873
+152806B1F86B74DE53A4EFFB645750A8E4D34BD096AFE219F8F5A2E6CB47F470
+A059331AE578F293872EFF39CA0EA66E9263B77C2C776B73F82D7BCD6BE390FD
+3F9143C43510697EA8F745BEBA6A0FC32242E0715E5D9211CB8F940CA5DAFAD9
+E4DAE9E2902BEBC0261AEE8EC866FE187B8AE3BBE9496F7878BCE6530718DF99
+4C0276A07C385AA52FF98F5B7845887AAFDB061CF744F272E0979F57CBA0EAE8
+8FB74CBCC716A4179BE3F5DE5AB167E13A459E4F433BB7620D20CA3DD18B1218
+B376E2B73A0EA09A9DA7F399C271BAE5BC2E522AA2306F9A7383C47428031339
+7647E0B2F290E7E9C2360CE74BAF22A7C8BF95207956CE9059B2A670003AAB80
+E1A3A0FE9B10B98FA5E1FB86C395CEC09B4FD9FFA91D6F4A7A07D68499344A47
+11BD063F4A9FBC54EC87BE1C4F6380698BC0C939929C1BE75A967408F78DFBB9
+49FEBA0B5004F6592C560D03BF34C7780BB7A07D16C56108284C0660434324AB
+78AAFFFCA3231D796851796C12021D7F8D385CB7F10856DDC12DCF92AD21E7B4
+04D927E16E866C1FDDC3FE883B99EBD7A7C89A78741ECE8934A94C26B41E6EE5
+45DC07E316A5BE604900D22439D32CDCA61F8CA5972D46F2982C611E28134293
+52724C52A8B525D25B086A6BCC622C0A44D0DA52FC7DC1AB9EE8088EAEB11A46
+CB0E3D4AE182AC4E9FF9F018943B1F753278279E16B9BDAE2DCB6F519CBC38D4
+7C14D5B1B4C88119175AFD2683CDBA9E72A35289A02669B545B693EF6FDB98CA
+03C5690E2CC8DC6D587AA7C0E50E51844E4F0576A01BA00EBD6AA7AF489DDC9F
+4DE82F2CB7ACA9FFFC6D30C05485AA4770ACA2642720C723392B86C2DE4F9CD0
+5112EDA3D44FBA1ED876A8610D203062DE09F677BBFD3A4210B0561D8AD5B79B
+B0BAEA08F54DD67C39BBD3675A5A7DEE903336B1057AA0E4564639CA183E32D0
+A3307AEA94FD2C04861EB18E29C94A51C4C1AD0F9F20500A9F558CDF92A8A07E
+2F8B3D7CD64C9903590272FA2BB09C91B2795C03CC3E57024A8F9D5CB00D8ACB
+D48993411D75648655E559F0B8B0E126FBC181464085B962C652CC1DBF7100D8
+A78E398A35E2249D5B68E251BBB520B2A39182ACE7F157645D8DED5E4E059DFE
+1F1CBD00B452B282A987BDD058EDC4FF4EABC2CB9D03453F2DF7A959202846DB
+4A8DF083B08BE65B6DA88D85245FF73D892EB55332A7D9928AA4990F43B09166
+7C9AB3C96FE6F8CA6BBB9CC6DBBB0EF4D1E2EAE3C1EF8E2FE875DF536C1EA48B
+0486842A6CCCC2602E515F22D98A5F1A96E3D42168ED85E6FDF535540E0246A1
+548DB26E4D065000443262A4245FE5B8B3344607EE5805086BFB1928F314E669
+19772F145E4BDB99FA1422BE0785C836C4D5A747470B0EC1FE83798627F8F558
+701549DA66AA5421D4D4E5B337893ACED0459B0DDEF36F0C7AA8DC31D491AD35
+5B466F2D648681790C9A2BE6DD375302F422E955130CA0979A9EE2C13ED4B441
+FA257E06F3073E8324759CB0B01CC07A62562EEE32D280B7BA612A7FE3BD007E
+220599B8B892DB6CA4D13DC9A6EAA85BDA

 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000


@@ -5725,730 +4644,442 @@ D3421A6137CB6A17664513A229E4BE5389B4F485E31A052B74941B65A52EDB4F
 cleartomark
 {restore}if
 %%EndFont 
 cleartomark
 {restore}if
 %%EndFont 

-%%BeginFont: CMR10
-%!PS-AdobeFont-1.0: CMR10 003.002
-%%Title: CMR10
+%%BeginFont: CMMI12
+%!PS-AdobeFont-1.0: CMMI12 003.002
+%%Title: CMMI12

 %Version: 003.002
 %%CreationDate: Mon Jul 13 16:17:00 2009
 %%Creator: David M. Jones
 %Copyright: Copyright (c) 1997, 2009 American Mathematical Society
 %Version: 003.002
 %%CreationDate: Mon Jul 13 16:17:00 2009
 %%Creator: David M. Jones
 %Copyright: Copyright (c) 1997, 2009 American Mathematical Society

-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR10.
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI12.

 % This Font Software is licensed under the SIL Open Font License, Version 1.1.
 % This license is in the accompanying file OFL.txt, and is also
 % available with a FAQ at: http://scripts.sil.org/OFL.
 %%EndComments
 % This Font Software is licensed under the SIL Open Font License, Version 1.1.
 % This license is in the accompanying file OFL.txt, and is also
 % available with a FAQ at: http://scripts.sil.org/OFL.
 %%EndComments

-FontDirectory/CMR10 known{/CMR10 findfont dup/UniqueID known{dup
-/UniqueID get 5000793 eq exch/FontType get 1 eq and}{pop false}ifelse
+FontDirectory/CMMI12 known{/CMMI12 findfont dup/UniqueID known{dup
+/UniqueID get 5087386 eq exch/FontType get 1 eq and}{pop false}ifelse

 {save true}{false}ifelse}{false}ifelse
 11 dict begin
 /FontType 1 def
 /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
 {save true}{false}ifelse}{false}ifelse
 11 dict begin
 /FontType 1 def
 /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def

-/FontName /CMR10 def
-/FontBBox {-40 -250 1009 750 }readonly def
-/UniqueID 5000793 def
-/PaintType 0 def
-/FontInfo 9 dict dup begin
-/version (003.002) readonly def
-/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR10.) readonly def
-/FullName (CMR10) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle 0 def
-/isFixedPitch false def
-/UnderlinePosition -100 def
-/UnderlineThickness 50 def
-end readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 11 /ff put
-dup 12 /fi put
-dup 22 /macron put
-dup 37 /percent put
-dup 39 /quoteright put
-dup 40 /parenleft put
-dup 41 /parenright put
-dup 43 /plus put
-dup 44 /comma put
-dup 45 /hyphen put
-dup 46 /period put
-dup 48 /zero put
-dup 49 /one put
-dup 50 /two put
-dup 51 /three put
-dup 52 /four put
-dup 53 /five put
-dup 54 /six put
-dup 55 /seven put
-dup 56 /eight put
-dup 57 /nine put
-dup 58 /colon put
-dup 61 /equal put
-dup 65 /A put
-dup 66 /B put
+/FontName /CMMI12 def
+/FontBBox {-31 -250 1026 750 }readonly def
+/UniqueID 5087386 def
+/PaintType 0 def
+/FontInfo 10 dict dup begin
+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMMI12.) readonly def
+/FullName (CMMI12) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
+/ItalicAngle -14.04 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+/ascent 750 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 22 /mu put
+dup 25 /pi put
+dup 58 /period put
+dup 59 /comma put
+dup 60 /less put
+dup 61 /slash put

 dup 67 /C put
 dup 67 /C put

-dup 70 /F put
-dup 71 /G put
-dup 73 /I put
-dup 76 /L put
-dup 77 /M put
+dup 69 /E put

 dup 78 /N put
 dup 78 /N put

-dup 79 /O put

 dup 80 /P put
 dup 83 /S put
 dup 84 /T put
 dup 80 /P put
 dup 83 /S put
 dup 84 /T put

-dup 85 /U put
-dup 87 /W put
-dup 94 /circumflex put
-dup 97 /a put
-dup 98 /b put
-dup 99 /c put
+dup 88 /X put
+dup 90 /Z put

 dup 100 /d put
 dup 100 /d put

-dup 101 /e put
-dup 102 /f put
-dup 103 /g put
-dup 104 /h put

 dup 105 /i put
 dup 106 /j put
 dup 105 /i put
 dup 106 /j put

-dup 107 /k put
-dup 108 /l put

 dup 109 /m put
 dup 110 /n put
 dup 109 /m put
 dup 110 /n put

-dup 111 /o put

 dup 112 /p put
 dup 113 /q put
 dup 114 /r put
 dup 112 /p put
 dup 113 /q put
 dup 114 /r put

-dup 115 /s put
-dup 116 /t put

 dup 117 /u put
 dup 118 /v put
 dup 117 /u put
 dup 118 /v put

-dup 119 /w put
-dup 120 /x put
-dup 121 /y put

 dup 122 /z put
 readonly def
 currentdict end
 currentfile eexec
 dup 122 /z put
 readonly def
 currentdict end
 currentfile eexec

-D9D66F633B846AB284BCF8B0411B772DE5CE3DD325E55798292D7BD972BD75FA
-0E079529AF9C82DF72F64195C9C210DCE34528F540DA1FFD7BEBB9B40787BA93
-51BBFB7CFC5F9152D1E5BB0AD8D016C6CFA4EB41B3C51D091C2D5440E67CFD71
-7C56816B03B901BF4A25A07175380E50A213F877C44778B3C5AADBCC86D6E551
-E6AF364B0BFCAAD22D8D558C5C81A7D425A1629DD5182206742D1D082A12F078
-0FD4F5F6D3129FCFFF1F4A912B0A7DEC8D33A57B5AE0328EF9D57ADDAC543273
-C01924195A181D03F5054A93B71E5065F8D92FE23794D2DB9B8591E5F01442D8
-569672CF86B91C3F79C5DDC97C190EE0082814A5B5A2A5E77C790F087E729079
-24A5AC880DDED58334DD5E8DC6A0B2BD4F04B17334A74BF8FF5D88B7B678A04A
-2255C050CB39A389106B0C672A1912AFA86A49EFD02E61E6509E50EE35E67944
-8FC63D91C3D2794B49A0C2993832BC4CDC8F7BD7575AD61BCDF42E2E421AA93E
-3FF9E4FAD980256D8B377043A07FC75D6169338028692CCA8CD1FE92FD60AD26
-D57B7519B80A8F8DCE9CEE5CDF720AF268D3C14099498A843D76E3B6C0328F24
-D36EFE7F5C4E5B5C612786200C8DE3A41EE5F1FFAF4097653CFCDC8F4FD32E0B
-03EDB3E413283B9EFB0AC33B055617005BC9B0057FD68C52D1B0E67F0C571685
-767F2AA85ADE4E0104A1C777733D5E318A22A9944336E5B98D965E50D31F357A
-8B6EA5A0EA98E1B027CE68C2EDB149EDDD04ED74A1B3D206D471A0C11C11449B
-DE190BBFEBC08C9E1B7513B43DA3134D6B11A2516E6E86B67F68C970A320D05E
-94FEC57FB347606DF89989C33482BD09D011C55AA920319E7B26A205D3D0F004
-22466F09C0482A164CFB27EF6ED2B040ECCC3DCAF345B5A73676F193D43123B7
-72FD6CFC5E37930E61EBD5A6307E4DE70194E6384EC0D79DB6AD86D3B319A31C
-8B0589D0FE28241D8ACE280D0530EE99C80723E560BB72AE9D53F4713181F491
-344B06D3027BA4E9E94D4305BE1D817197C54C8FF56CD6964165F6448ECC8A8A
-64B48B4F0FD69299A137589E2491A283509B21A3A5772F75B7602A9F60AE559B
-07A58436D04222C73EAEA72DE9A5A441F88D27C11F4F91255EFE280E91A4ACAC
-1E98A4E5E6C57B9AE86FD218C3CD8F24A4104156A80F13821384E529783C52C8
-78B94AB3A0096090867ED32E8A30980E737922037F75F062BD83BF4F5929BC51
-CC22AEE2DBBAAA001CFFBFF41D258424FAD888FFF1BEAB796A44E3126159E120
-7E4025C676CF94888A1971AEF8B6764B3AF4A92D36FAF6FC56FD049710EE3782
-BC2CD84FE2473F133BE03C1346B875463F126DCAB15C7A9BCC9A727D23611462
-4E8D2BFD2466600285D79518712B8681ABCD69608E6AA9578F7BD771EC36E01A
-5A17BC17E375020ECA59B43790ABEB9DF5F4FBBEF807E5699EFEAC563E1ACC5D
-EFA336E75DE6D8248E9381BB110884FDC89C2F9A41EBBC9A8A1F98E6A41F68BE
-EE30E25CA148C1EFF42DFF8C214A6537AB11F260B8C329A4947B5FC8DC9C5622
-4DF7BF4FBFB00380D47BABB03BC30627AA74103E553F55278F538EDD8C1E64CE
-0F1398CA0AB5A86630139B4A7E8FC02804CAFF3830114640AE50D2FDA3B561B5
-C63AD7EE3347804CBB40FB1E77A6C89735DD870351C3A1811591AB493251B904
-314F65791963C0412377C1D02362C5E9655F1C3D4803CD379A8EF24C48218C2E
-DF1165840462BF37DDE1B8D5FF09FA2C3B261E2F1A65ECFBE5D4EAD43B52C029
-EEB3948CB8A252CBAF545C8FA1C31E920E23A12DD7222CEF2D2A513BD758EA13
-DA33BF5FBF1D734653EB83DA2D374A5B9A0CE316F24EE375D6DF6BDA49954C2E
-DB25A88821193636119D469BA66E5DAA9C92520FD4F84426A4E54273FA469084
-7517817A6EE3E21176D333825E88046F50B3CF6938AF9BA79A2F51398239EB91
-1A2D07F7FCD948427FF62F40FF95E39FE1A1AA8451411563FD5388472251C155
-69BDE9283B41900B21EB1190D06E6B13B7794FED020D2C1BDD205AE77B084BCE
-EF628249398B496DE85B406FC2E1939EF00DFC84C07E26CF72EC401BAAE756E5
-7F6673216E7560D1C2A723CB405EE5CA474A07F61B81F8836482F73DC9516D67
-CE0CB770EAD755B6B356198B4B97EBB29C63456953270CCC8D5650C1D006E69D
-38DE2DFEAB27DAD50A817F0D645D30AF5B75A7B53CBD3D2B8D87BD0A7E525AF3
-22F7ADDFCE31716914C2318260C2E2B4664893921B68C5A93334A361D94A759C
-0D7B146D6FD94F0442D672BDA0F6432E18F3C5DFA37ADA378D95B75F413C9ED1
-BB5C606A3EC7DFB3F796F59B0478C13FD1900381EFE0BB5242D5B5D34D03AF1D
-4BDC93EAF8020E26CA23C8B0E7DDEBBC6762A557067A4CE05A524188A8F02E2F
-3625DA38DFCF381727887F5646A3995A8A38A5FB1E5D5EBB395FDD0B7C8E71AD
-B48EEDB62AB2CE99D121435EFBBFCEEA69AE9ED8238B60CC7288DE33C766CDFE
-15B767B4AE2E6CE0965E77272AC9F86023DA620548CFAC85BC751C44218A29C9
-849F1C2DCBDFAD895B54E51A569952ED50F82DC8A19F367E7E44643854EFD6B3
-FCAEB04E55E4661C82D31E2932611748480EF61FB2FBFB0CFB940BEA81AFCD84
-4C6A6332D7A600170E38A8EAFCD4F93DC153C43175434C86BC747348FAC61B76
-1FEC9027C1A193E55C80F1F20B5317AA0A05AAA36AE235F6E49F06E570FEE798
-84857D7552EA92EF3EFAD52DE39C2F8F43C59E3A957B7B926FC95FC4B60186DF
-7F3523EE2AB74E294C8C4BCD8B4975E84849E0FBDA6C0B0F24A636DFA578B122
-CF97BC5089E21E9F5298D1C9F30CB8BAFF6A3A11BB4D9A0A5CF2B18D055C44CA
-4FD4D8FE1AF3630907DE7E585AA811F9CD11FB2C8FC791851D651009FA5DF20B
-3C33FD2FF848A9E3F5652BD294965A332DD3F246C91B0ADA34017FF2451D1394
-F9C3C95AAC6EC8062BE98E8914D51DA6A164AD13938693D446044859D03A949D
-F9AC5DF4A000CDA98BB516D762CB9F6D44B5268FD0C26E88BC4A760C0F75A140
-DEBDECA4F511128B7D2805872160C55236F0A0FA7637FF0D4E94AC079CD3C8A7
-D03A5A56F26B0438B577C46011A10532FEBCAD14FBD6032E224F45691A726886
-56F305231EB2FCDF59C8BBFCB5DBD2D093A0E84D62AC93A2312CA69295E937C4
-8DBA1802B85F54B5E7E6D6216A918F911FF705D3B5CF055F1D873B96283A0B53
-59344D910CD396D883F6F7836BA65FAB4393A773A8F6BC298069E5BA38210EED
-49C9D920F718E3FCE692527DC7CCE6963BF744F2C91BC5952564196D60574E86
-87A0FAB21F2DB2BD5A51D7FBD8FC19946D24E5A228462C4772F978E650ADCE3B
-8D66B9C21279C531CA1C3A8ECE3420BB65837287A7222CC3673A2A5F8BBFDB60
-C719CD073EF9A23675198462C7C87B24CC92D6AEE5C25AC63855CC3281494342
-D28F3D2FDE0C183486769A4FD5B0143193D31FCB2C2A14E487BBD96D0BADBB64
-D1B56021C363A795BF10E2DB448261C363A54A4AC1182B470C457AA82DF3F5D1
-F4B329806141EBD53CAE309319B94133D7EBDC2D0453A905ADD207364371E178
-0A95C2686E3B34C4A978BFC0EE968C39ABA00889BC5149162C2B54483D44FD3B
-5CFF41F611C7E03B94945F414560E874D7CF27FFD0630890D7D7EA66CBD15448
-229059E1C436BB33D69552B5367AB5D53591C4678D0C704DD3EA23F5D9E8A7AC
-17D003C19E333E726FFFA2961F33C70F429085F7BFE3E2510F59B78F58B19CB4
-01B48E184BAD9020FECCE3AF52048A056981DAEA02AE78197E65855DDB170616
-F54278395D9EA50DC83761AE759F9CDEF9E1948E7002414FC05286ED793E6662
-3347F2A9AF8917493D7305B92CF93E8E9185F70015F5594084298A6C2F9FD3C0
-689F262AC9FEDC9B89577ECDE92F08D3142209FBCE7B5C0A840CC767BCA56C20
-4E4E545E2BE4D21C53855CEE4CD0AB35D1A604C0FFFF77DBAE4289752276559F
-A05FEE65F45ECAF44E95E23FAB6052195C7948AF0B1126482D4E02D72BF8AB03
-DE0F1A632F7672AD9DDE70EDC82AA993678A82BEAD0BC2649C4707FD8509810D
-364B5C6FE0E10772E95288C622C2F06C634F4DF8C7FD1432BC9310D5F24FEE3F
-7AB324863D6DABAA1576E70643CA79EF4D7DF4105093D66CEE0F3B87D2164A7F
-26EA05F5C4645B22D3E1BFD2219657712C168FD90DE801FB0F32759E80DEC1E1
-43CEEB19FED12D757205043FC98FEC62D6A8D8B97BC083B4A0E985AF7850D6FD
-8716B9957C1C35A0675BC53DF672C425C79F43FDABAEE7D63F092CF271C9A9D7
-C41F40C4189510987887942E60A412B3EEC84C9A6E1AC7D54D528F5604B72C08
-94B7882621A5BF1F325B92FF96B80878CC550D1AE4D8196E41CB1251856609A5
-C4D3BD05A922D0D45E039D9450DEF8490A3E924E41434194910BF60BA1B08BE1
-B41824345627745541A4F1703E956328F6227D11C74946B38CFB096139979E56
-4E723B889B44C6D78673868C89912F8B4F0B4B485F1587A637B630F92E6072D5
-7F3B44EA6FD96BBD4FC28A6C1D90805E3BE3E42A7BC9C880762966C55BC04E01
-204D083AE976FAE6F37C94F27E68F8C0F28D52B17F6C0FD7C9150701FD78F8CE
-B8E8DC9260E3974005EB5CA728171F482D765016C94D4ADFE4A42EF42212BC56
-7E4EEEE8B0D2A7856CD4E44F55C0BAB762F92CB8D64C17022D4BF3A47C12F5E6
-279FC23101FEE93753653CE8CEDC3B75C9CCB29BF1D4554C6120DE8EE750FCBB
-E38B5D915206974962E320362E59B3F21B3AB1875703191043D03284D4467346
-CFF2F98CEB4845B73ED8E003E0DC94251B73E13A9B51A3F1430BCF6A21EB9B7A
-65E17FA411F53BE6432F1506232B8159E008FA257F884A4A01AC53BE91754D78
-BF14A5B0FBFB9C31BF4908355F8A762052968DF526D118708CCB0B7CB5BEE285
-6DAB6CD2E3934178E60BECB11AAB5478623CF6C50C92F8BB5D1A583609028FA7
-B8A53B791BDC9EF76A124F3F7641857E4BEA0837CB36176EC9A522EA7F41B8D3
-63C37D1145367BD300F17B54522A834BBB74DE12BF9EB26ACE6F24A046D58F89
-4D4B7DF74875F1A0C1C9D97BE0849593D7B398EB4B00BEBC8C8D1497B6EF831A
-A35380FFB7F1AFA4D888AA52C9482E8B1755CC209905F98F40D95B44D4DCBCB6
-67423D1BC2F3560FF0A8B4F0CAC352A4EE2C1D946E45AAEC8A6AD40303F3382C
-DF0756BFA3B1ED64C169E56ED1C760F2FF0E24DC5C9F41306EF8D2628153D30A
-5DCB0791126BEFD4947D7EF08301FE015F2B0008DFFCBF9F2D4D859FD43EC7D9
-C5BE237E9BF6665B7B1BEBB362F0C0C3A8D86010B9C97FA741C97C2E0513386C
-9C26C235B14DD2A58BFDAC7B5F63DB4DA6D5D37D0098175A9071590E1DF66A3D
-B8173A047C29D7D35557F06132CC920B5460B8AFC11D23D09A4E45D089F5EB51
-963FA1A6256E359D485107FD143B2BF21FDE9DA5744BC2615E86C31C89470CF0
-D06C6397D9FCCB316EA9989430240759D2C4945D941F159FC02327F34B042BAB
-B5C3A47C78E8C1A6FBCD396B1A51CC4B020B8AD401841EDABACECDB482D6EC5B
-72D2BFEB4556720FADD49D07307C8B22ACB7E310CA4151A85C71EEF70E8D15DE
-B3B00F26E0E166C14647A65ADA228A3D1C89025BE059306565DB1B1EFC37D358
-8C1EB024254AFD049BA977BD4C2C605050E17940A89D0D4C5D963E792320F5DB
-3706682E03D25D9E02487247819551465092CC22B6B56E93F3AB528038FEC3F0
-668F866707A19B0463BE706EC729D2EE1653AAC7E29BD25BFB3241D4792F5152
-ED415B4E7FA92C2EE5A22E27E8B75542C492E56D811C192E95542A6FE0BFE5A5
-69273C2ABED4300D491B92D2AECDD278404CB84B1BB1BD7AFEC858215837D118
-C0E928BE7E07CFEEB51A6D21375B772B8248C994564014015232A0DA4BEA1754
-3274F407FED0837A236371F1A32056240F2015B1E7F4B2CA72C6B58610A66F13
-407CFFBA5E0A2893C1F572D50F51286E9133B5A84239C9493B0574E77D281D01
-11D00683354A000C9700EAFBC1FD104EA19DFCB87470190E7E2CE26E3A6FD0FF
-2620B87B82AC8686B6206B530F17E9348BC7D04B948348802CE53A312443DB87
-4DBBA5313A6A2A8DAB8A1CC9A594FF8C299281C0A261C8CB2226B732FBEEDE40
-2C6ACC74A1A61379E2E1CD5548CD908268A32FA83D8504C442EA0E183ADBF7FF
-9FD09C037AB03516ECCA93FF048235BD11A25DB07F164512A079C5392AC7F889
-CE96AE5C8D9580BCAFCC087C35E76EED1A671E87C12E3045E15A687134736DF8
-DA984772AFD189D68571A2ED7256F1E204230E41D3D9DD876F938951714A3973
-0CA9310489F8E807C1C7A4E51AEA5BC030610A5D7263FF7E0F9FDE3E5E37A362
-5B919000BD94D978583B942EB79CF2BEAC33FEBC9A67272EB10865BA8FB75FD7
-9D280AB59F91B96C16C982DE848D76D8FA8620DFD7C80B7DEAE7264350D6FB3A
-EF04794DA3305844A7CF718F6D1A4A3AFF6826173A076A1372ABFC54ED3AC6C2
-09C9287FC830556CA694E21CA5342ECA7B10C90AFC4783D841D7B1E34FA3DB7A
-2B706F3E21B0FBAB23E7257962FC3BC309CEA2C7239A9D6B44CC96825115ABD2
-AF9A2566D2F3382C01569FBDB94C8D664A5DA0F7DC3DD140CA77C743D7BC1420
-324ECF9E4780280EB119885E96A6C619CE3C0C8E1E264E2DEB137E5DC8149786
-486D65667ECF47B1A1E20E9E6E4FC8323E0BC8E61BDD3BCDFC6575C69C03E31A
-EFFC290472CBBD049DE3F840AEE37A2486034240F80E75D8A79E0762377DF660
-52B12EAA16D678990B11A9BFBC03C1D4FCDA9FD4FFBB3E88352438102F10B7C5
-9F04C013B6575B5E948FAB58EA691984A0E54E6B9F3F505FFFEF74D06FA1CDF3
-4B8A95904C8A2763AA8AF5B71D00F5DE09DC1CDF87A08B6D181453063E14C12D
-B7BB3775A6E2A901636273D9EEB833EA8CF20FD83AE899E28DADE10EEEC20BD7
-BD93085A4B1AC80AC1AE8280C14767F1A487BD066007A0D050317BD081131A14
-6EA0898ED59E46DA7B6254BDCCBC660686E2EDA0E77A705A653733BB5C5497D0
-B130359F866CF293FB6EF0C2AC5BAA2DB0DED045E2DED3A2612D078333260359
-16CF0CCB272D34767EA069E0F0B0D42327A18529D72E890EDA6195C2688438ED
-E9ACDBEED41E81CA8EB5E43C2B09CE266EFCA03F2D7FF57F12B06F9E54FCC6A6
-546676F6FFC5B8B7D3F0982B6FF0D21D949309F0C0B175CC1D0976F8C55C6AED
-6E821C39041E22D91AB30922F2B2EC2746BC7DAB484991542FBC82D87B487507
-559AB466F73EE23C2D3194DC5CE4C9AE66D3164613AC5CBB3DB501B64DA7C91B
-C7ED2EE9027FC0906820B35D4F2CF66C4F9CE4A884B7C07155BCA884ECA5EB3A
-ABB83F84DB1F5639599DC7D3F51241AB5D95C3BCB7AB1EC90B4BC989F74FB354
-04B2D7366A34D335A47B8C00C05CB423482BF6C7970A95545424A08AFF9A035B
-7F83F52B65A9799CE76E303B85664B624C65E9CA58184C7BE2BB9D9C86A4DE5A
-8165EE3DA2E652B5022EE7893896BABD88931DE1D538F615787645DF5ACBBA0B
-A8E5B899A37321AA7D4B283AC9234978C2DD81813A1EE5DB6EC170DAC1B6EF02
-94892635B498765C07A38D2E9DB0B7581B11056C28278F89B0E60998379C07EB
-C0EAEDC32AA69B8B836F92A61AFD35688315B2C3F860632FC13E4BDFB63214BC
-41CC6859EAB3AC3034449213CAB99FA1D216563419CD6D6CE4E1B56F33E6C654
-7AA9DCB5B05FC068DF02AC32408C8010AD004F6CCA9887830927F8CBCD49CDB5
-18CAC1EAFF815FF2F6F527F936948201565003022C6C7390B4E3C2B219FB4F76
-9F12BD25CA7B3B61D1A2F8DFEE795D04D5428B42FB66E0C254AF7B7A10CEF7FD
-E5ADA5E217BE24851180E9A1700FBA66C7D2B0D7BFDE4F4EED1D24B821A40947
-5620363657F6D048E651A689822CF815E72FC8AE9D835BE31D1DD8B54C9A717F
-4DC319B4B59AE073936EA40B070524C7E71D5A7B64436DA107749746B516E29F
-E3BBCB8F8C473E706670E11E5B221716F315FF097CD1841D0069FA69EA1898FF
-9F9EC2518C77806A19730C97F54BEAD604548D553D4A6EDB247853225E24E7E9
-89D71F6BC94DB986467E755CCC99069B313F5745B02B4BB608A39F0A0A732B87
-7EA2DED68219754BF1FBCA350327572D769C962EF9242132D93A5C8E9725D8D3
-AAAEC15ED0F43F9A1290E91C463895BD12E8A831DAD661EF23CB9AD2C26CFB26
-71B72D15270CD8CB1D59CA2D9DE884C96BB923B1EC8208BD7DCEAB0FC2293629
-2AA1F72C6B470701C381E335C2364CFCEBACDD20CA36182CA7E70AFF5B14B02B
-75CBD0738E35DAD8E60CB3DA4DDED557FF9ED386DA52D10615E700751C842FBC
-85D89C0E713F556814E051C6CEFE7E83C2F379B88A801DDA565BE73013DD56D9
-44D97798564787AE6D5A6A9FB777EEB850C7481B4A353EB9279731512C9B95D3
-2ACA3A0D44585E55AFD968135F6492A9381FA2D126CF50373AB7D47B509AE6F5
-C4B100BE8334ABE2268DAFB7983BF339540A8D8280F3576CDCD4F21408AA7D95
-D50A7C1599E62D4FCAB001D5F9DA84FA530B88F2FE36B36F9968B5CF9FDBFA11
-DCA0E08D087C4C5F4D744BFBA60FC22E964CE10AF512C228F4CFC3DB21E38CFE
-AC11748F9B23F33426BC4AE3F026AA8178364703A31FFB8A31AB6328AA3B891E
-A9410A536479A9A0378B1CE62E0205B073A9C3F004DB440C37234EC8C030E18A
-42C47DD0FA1EE3521C98714EC451AB5E544183431A9C5254CA9A7F73A55B8B5D
-A98941739E254A5DD0C519CDB28B2F4B9E4850788B0B46E26020DA98EE4E7AA3
-9B55089D13329ACB496C86999B89ACF2099533DE1756F0248149468CC0F2C45A
-CA7E24A4C93B99FB57A66912299D28DC5EA30C0D4DB0F6CDF4F8F910454D37E2
-35E519763C2B61D2B1E6C3DE314A739F6DDBB748D0C6443D23FDFB6D6B162BE3
-95DFA7EADEF780AF4D3EACFF2C28AB8FD4530E353E5270D5FA6599BA4CEECD08
-BED2831AD39F1E8794319569D09632A4CD65FE1A20DE8FB18109D0F8B7EAE4F5
-4715EACD45673984D60AF1EE8E6C93C4F789008648C1F96FA1F8B338EE47E2A2
-2305B46D033B7C7A3E634072E1CE2711938D605AAC075BB8E678C339F7B42198
-3E61AE2035C3829B1CEC2E9FBCD62C20CB0AE0607EE97E5A017628A9A8A5208E
-BECACFDB8FEF5911988ACCD63572FFEE5C40A2025F26C24EC2A87A2745B3933F
-41FB3EE69503CAE324705BE07519A307A6530BBD233F45464221B371CAEE0B23
-787A20271277CA65E106143B0081D25E339919166E4C5685DB230CEBD600CD33
-AEAD858BB6A43A41D38BF43D98B497587D795459121253EE898FCCBC2CEB4D2B
-531BC917318A8EB11C4114060FADB071C8A822086E9A298740B5B09C8A925A3C
-025767C0809544F529194EFEA0BD4DABA9BC0A35CC61054AD4CFF4EF6F6BACAB
-56341055BBD2158D69568152561B8E8412C0F1034FB773AA050B8CCB23F49CCC
-822F363B335D65A4D2B4D5AAC193EC41760DDEA9B218FB1969747968A767404F
-D705B45223A6504CA4D48826FAE6756223F2FF5B53D73FE9678ACA19ABFFCD5B
-59A380CC4084CF47BACF0C62164110F3599D8E6CB9E93D141668D361EB443AC8
-0C0E83A3C7BD7646FCB6C28886EC210A1F84DB2461B673EFFDF8F0815D7853C6
-F61278341A101828638960F2479000AD48A72EFA7FD1AC7044A40106216CAF4D
-94EF709930ECA646B2F07D8358D48D0A768B6E6E0FCF3BFA597ACB9868737697
-95F45C48945BF8CD5B0533A7673D9CEDB177A43541D7D09EC95204F5D53FDB09
-DCC0036BC505B14FBBA68889E25444BFBAE4942F657F9D97DBFD591A23CFC73E
-FC3F8EBE9754C29374D76DA1237A4FC26F3084909D712F005FA8B12F332098A5
-5EDF16A009E3EDE0472C227802A5BF4C9235E2F15364F94D427B98B29EBD0CD4
-D2B13228DED6A482790970C5959847B05B63CE0F9832AEECA62FEC8B3D66226A
-033A26A8A6BE22F97E638C97949EAB8569BDA2BCBBEE4B7C2CE47E76813245A8
-27F924503A391DA967A6E2565525EA6E0C97812C2B93C26287A77803FBE2486B
-329E785A8113B00497A08154752DCC6FD1405964EBDB1F1997466EB09B29B743
-721932EED6A5330604D0E557EE03662BD31AF90587A45AE742EC01D73B67BA0F
-E24D41D94194E5FC2564ACD7935C774A4439374814650B9437FE424A2CA74BB6
-32D6F8B49ED25AAE0C1BC71CA5D158A149F9357DEBDEE6DEF7E262E32940DB2C
-9CDED45CBCA28C25D7503561A1784D3D94C9C8188254468325FB825A5CFD16D9
-AC883CD07A159ECC675E6A0B1CA849E99BE97280ED370D6909828DE61CA45D55
-79608117905C846896C782331A69DDBC7596D87F4BAA272FFEE40D03BAE22616
-8CA33CB0619B2523ED09E02AA857C6FF5F8F1F3F3080C143C3413F1F3AF861BA
-0E62433BFE982955F5CE0AD55E9BF97147EC8881168CDE33480C7CF84A535127
-E5822DCBABAEB988655536D14E775476612756226106028FF93EC41730A90036
-D06D24DA09F845947B82703BDE939BE7366D1E3226FFFA44DA5E14B1ADFA67F3
-BA34DE99E57C673240AD583F6C69AAC18E017AEC3A822A47B5069F752767B387
-2F0E721C3E3AE0382833544E7EB0684CFB1478F8554CC72455721E4ACE7392A9
-FDB4F0A4076DE8E0B860A7F7A88B23364F00D52AE443D5CCD90C30A01449D0F3
-E87DC10A2F074B680191367ED2113C78AD379B937FE385F0E11D237753E9B2CB
-770DBDDFD8C0EC2F429E6444DEA1324574CAD1FD0528001183BA84F30209F46A
-C32C5AD719781847A538FC9B42F93E4ADC66713346F2FCDA575E926B66B9F253
-5259742D1384D4D074C394ED4EA1868D7953614354E1D423D84357A8D6505F69
-FF85459A65057333AC0F13EF265AAF122028E40AD89757D6FC22964665BC26EF
-6167E17F769BE74B301CD6249F253A4661ADFE70E4C2A431AEAB729DD378DFF1
-F072C1562EE3AEC2CFB7EFD6B57700B110E571EA94A5510B31F2F70F2ECBA85B
-D41CF385C6CA119A64039BA25E815B376A26746C293044719077552FCCCE3204
-189AB5368FF41481D6385221EACF3BEBE31225B24F25858A92BE0788C6B0C64D
-6CACC83B53E24670C9B44536F7A4948A06EB7D1B2419F60F5D74FA20EDB6BED2
-4CEA54F2AD5385E9F77332AAF569948EC5AB8EC5E9B8D204DF4F5736446D1664
-BE7AD4835B3BC20D2FEC2911E2B96A0B40AB1ADBFC27D8244C9BEB865CE83072
-615D1B533117E8F8AFD8D004B1CA9E9646CE2032010DED4C8E7907881ADC05B2
-C232674A9840F94B1C3162E70BFE61C8BAC1A094203480A62E1C870023C31C1F
-D013E272F38B593F57AA425F81CB85E18192EA81923D54B6184FCD013C2020E8
-FA8909AC81BEBBD5FDBDDDF6A6BD4572544D0C434FC62B664BA6F77D9FEA055C
-058252FF68A8221F087318B006BD3C8A7118388C7164E96AF3E79B6C3D01ECE3
-19329DAC9EA4B797C9DEE04E3156C97F8C147E5F30841EA40AB8DECD8628F20B
-25DAFD61F62ED512944360BBA2D2C07072B0A7FC07C2E6FB4A9DD28C3D2AA7E7
-0AFF5B14B02B85640800D6532136F074E7019A0A3F60CA51E393377678C61F73
-93ECD176691AE071D9F7F959365E96A129B8B8DD515E42C04BF43EBC88EB0ECD
-720E3A693C2D57AF959CA3CC5B0367CF3F09D11A879AEDC0F8C2184E29D60D13
-456AD4D619BDC6F9446DC1EF079B38B2870C4ABE1274F86FEB25C1ACB39498CF
-5FCB7691D9FAD8104A265BBA368951142A28319378A8BB73C534778AADBEB1FD
-0E5F00D9AFC77B5A58CDA8809D8087296AAB604224E142F3A04DAB00D39C1F57
-E05BA8B4D829547BB610ED3B6AEFC1306FA1E07C21399FE46B305D0E4151AA9F
-072DA873A404ACBBE4BE126038933CB1707C304032E21049A901F18E577035FF
-34995429F21C8B439C71C6BE51A942AC26D7385C68F95B5E77BF2D9685E3051B
-D437DD2BD1B8A41F69D214047075A8E61E67A11348FC2F273F8505ACBB44B3A0
-3B87E9D0D71B2B06D7423004157AD65BCE334146CC6E744517BFC425440BE407
-46119AD554294996C46E696C3E4276209A2BAC54E5EE6A648EC77604883B6E71
-19CFEF64C798971D4C727CF8CD7D5916EF0511F5260974E84B5558BFD1EAE7FC
-A4E259856EFD5CB9A80D1CAD55D9D37645515C7ABC1951B2F5FEB4BF09BC7881
-D9D17669D6549E0D3C3D498050D23630908AD934912D457969DA53D04E650632
-6E9D77ABCF93E2CF2D5ECD218E26CC9DFF3485032D4284D97BE0EF3C3522309B
-FA43AA2699693B0B1E461C5432A2BAE797C24FA973134372970AC534C8ED31CD
-E47A897C93E4F01784BA12232DBF03E533760A9063443662590C70D416D495B8
-1CAD7A8E7A45950E6F803F104C0F3F366AC79197E9EC90D4EB5D7CC8A181B3F4
-4ED7BD070FDF39E6B05258DAEEB74352AA5E573AD35710EFCF4C5CCF325139F4
-3274186FA29D0D70053AD0C4A7B487DEFC82A9EB1E201AD6F52843E289E88231
-5994E7704F25A9CE6FD3EDF0BDBB1DC2AC549128424BE4DA352C46A5C06D931B
-F6E80EC8A58D937EC469AFFA231A97B43D7FCA74F2CC128BA7FE833DE807B151
-C24011EEFF10EF406FBFC6DDE8D0DC6293C4F789008648C1FBDB9D6BD7A8507C
-FFFC10B811310E3CA92998374A3E64F5E6F4F0FA7E8DDAA7E09066990B12B3C4
-B93CF52BF89A0BE6B558F9C3236AC2135B6C6C1D10C8EE658CAB65E5FEB2374F
-F8AACD9F9E421646BE14E2BC97591BA5E9D09A79225397FC86377653B6536053
-88C13B7B759391F0A8C9228A82162DE8E220C0333FB0562C5AAC33B605658B80
-C2E366372BEF8EBA0BACA8009D9F1EA2CB737B51E0600DCAACD6EFBD2B2A21BA
-498A48CCBA738A5AFDD6C5A99ECE01BA3FFAC2058CA4994F6AD3FD3E5A38846D
-F3F64594A080F5FF460B7D97CE025C89BE120CAEFC3CE026601730427F0969F8
-AFE96D60BAF8279DF86DAF051C084328DABE211EA9A5E84B6F8908C4BFF82765
-6BB19B484EA2EC9C8E7165047A0D93CE841B2A5B9056D8E2775B787797C8F5BE
-E56DE6ABF24760A9099CA2B16EC4020A852DE510D12BD5D4F111E567FE3BD3B0
-42383388E8C2FA31D2FAF1AD9BFBB28CB0781191F9A9B9166B227B7E6C0B1EF5
-CA9F2F7301E2F3B53812120A00C129DE32E7739A9B4E4F50C8DBF6D07C055F05
-6A94B7B0292EB7A5353439D5BA67406EB39A06021517143825889864CBF03C25
-78F190CF2CB88E261AFD1D32C7C23D58C7FC037E4FBE9F9C55C55536411DA1E5
-1D801D86D9C69CFA4D75A336C1728F4ED90605419CB9DACA736A3317A8E769E4
-49D9B604A721B6B0C7DBE1077E03FB8CCDBB02D8C7B7A7DA6548335FA9E02E77
-99673EEA29E9DE93ACD94D97E2EAD79CB749AD8D609DC1763947E1CA49E0FFF5
-F71DF4249B6A9753CFD4C35559590AFC42CCDC377DAFBD3FC0F7BE33AB578CCE
-608D9C99A21A84156E00A7189832E50A6D1BCF00D713FCF7F01A2FDD2EDC9FAC
-A0E5FB321B56972CEBCD499D61E72D79ADCB8DBD3742410B6A172A84D84C6E3F
-09C623A1E26C15C1CA3C746B07A68ED47785B61A13A544966F6C3E0CF0FDD2E8
-71E2AF483996BE5E3AA8F51E09AC0C24A7359C2076E73A26E755980293C18FB9
-D54F921AE976868B92ABEA2576A2A7FD21E9F4ED3569E97DC278BE25810FE125
-B5199283D406110BC9B02B40FFCCD9508E15DECA35C7BDBEF90774C27AACFF7F
-FB659B1D6E697458BAC3A1EACF1625BDF902DB0C1F67C67006A071263FE505C6
-2369FA35D55FAA59B1D2C1F8DF46A075F2CE9AA5FC20A211A7264DDFA5F68573
-E56CE7A4BEE8692C7F7E0EE36EA9E0A6783F45065DDFBE2ECF473B52C332DBC4
-0323772821C3B976FFB75674E3CBED37C46E396F57EA7E08FAE72DE1B6B35777
-2CB80243A7B80EFDBE937E7B5294F0C86E5195C5392D75A2236EB7E46261CE0C
-E3ED7AA8DB56478C5EA448438DB68BF51347841B890A928B74FBFF76E8B420E6
-425B51492B08F8F8A45DE8CB0DA9706118FE75AD51DCC5EB11FAE49D914831E3
-1B140CF7ED02B9F7B1FF17874AA7CC88CBCB87619365810A8E26D88FFF8DE2FE
-3E6D7F78B1FD9D64B8D0EDA1BC20C66EF9562D021B182BA2776F4884AA7BA11A
-119C194453933E416E01608C40844243682751786A21F68D3A85CCCD935B0F38
-88816405FEF98F7FD614F559F3AE7832B06236FE5190D31AEFCAE04CB581330F
-C9FB599B538CB8399F1A6D3D17FAF1CF501DC34A0E08C12A797B1DC2D50AA790
-7FA1F790880798A515068AA22031A07E37DD6D1B9DE5FAB1CD69AD6E907E62C9
-FE0ABC6B205F84DF4554ACEC81979C7D38E47DB460D44941A5DF31B69F3F7A86
-B5CEA6459EED7424F35C769FF13B844EB1257F952FBDE261CE02198F4B2D5544
-94AFAC77A130FFE5EC7A5D0BD6D0961F3AB97305C5961E68609331F5CCC1DDA8
-825C7276C5424BDCDDD887B4B835C7DE472EB09C513671AE72368C343709C5DC
-E9CBAD2C28C543E41A04DB2528EB56F723A348742C887779411BF871008D13E6
-71F94DAB4D81E26DBF844564D5549F43A1421813F26053C7A3852D4D820F5AE4
-5659048A820305FC1271AF2549D4E21BDF2030C876031056A43F90D0E6A496FA
-C44025F0AE95B333C536FBDFF85E68B3DAF307209B9A58821CBBC4F784AB72B3
-7A53C2044ADEF7756A50F0A0CD6A313E2EDB24F934092B7C1620409E22C9C8AE
-62CD5487527D31715AF6A09B27ACD9DC620C4C9277D3637B451648F9B48E6930
-F0885CD3E915C2D0B177154DC7CEE93261AECB0B9238D5C9FFB8CD8A5E225D29
-D453C11ECA85CB943AA02E850E23A1FE145E1E7B3CB316C8348155AA3A4396CC
-70D18E3FC72E8A95ACA04BFEAABDCCB878041F29DCF139B4A6DFBC2AACC22E1A
-51CEB5C3F0A8FE70702C16FDFCCFEF66709864AD0388632F1638DE930EE36F9A
-7808161185BB61E7F4F2770F1E974A5A87EBE2ACDEDC73C2526F7263C2CD3611
-14C42B235F224EDEC6A1874305587616EFEAF6AD48CD45EE537EEA534E45DC0B
-CFAF8BFE7DEC2F81990C6D449F659560834955DA8E30B3590F134EDE9D61ECB3
-8291051E3C83667441D2CC727F88E4487246403CC5073C9877E08D4009052E36
-1C1C260E09787396EE8166DBA72ABC032B66F005CFB4BF323BEEDAF0A733EFA2
-F43B79F6E4C7A9BE399280894619302A387BCF97C2BB91C77B15B9885E630407
-4C4C86C26A5A72E7A2DA6BFAD024EE94012C63801A1B398A8AEACCCF2E905408
-854DC7F527CC0B0D39AD6ABE1A0B4318FDB53A55B2568838BB403733589BC49B
-6398359F74DF6D919B8E7CE9B5A9897256EEF9220EA3EAD600FAA528EE41431B
-431962E5AFDF4C72F54C6FBFEF9E34DC433D7A15B1B99DFD7580F480DDD319C8
-DDB2AF2A2F4D66416598EF14C4D5EAAB9A2CD90F6FB853A05E6C707EDF7C46CC
-270B2D38008671E726A987B7172DB1F2CC7BED74DE89177FB5250C032E655994
-ABC22BD24BC287593B4A9A0BC1771ED320FFB8F8B5EE90AA59ADC68D57A835EF
-77D0F7C5A903C60ACE1DB19D09C3CA8689EBDD0B2AE8D3A85396377D98211508
-FBD9F87071A1F29440B02CD6259D686D84361C158675131AE770FC997D025AE1
-3FC7439E0B72328150CCD32C01E7C0B3FE0F4760D241916707B466314802CEA4
-6BBD5336FBD913D6CB7B732B231246DBF5C2FE4B47E5F5EB47BADCC07B2E7232
-A01CE6A4F8BA842415AAF6DBC13DF5784A19D32E36E7422760D10CA0FC69C65B
-35C70B8E468F2F9FFB58D3354216049E963E1B63F0FD8FBDB0FB3B723B887BDD
-00C98AF5864E5239FE7CEB41FD14411282C64076AB4C618442A49BCAE585FCA1
-6092946EEA3B3C54F519F7914E01589FB4E57D89DB95D665C1D1E231F0DA8A1F
-EB7C73CC0627C15C42801BE6C8FE4E35916A89E95734E0E5DDE65FD5A8955F09
-EB5C486754E80D6808593322DB83054B790ED541B2AAD907249CBBB99F72E52D
-5C42745AC706858ED9167FBC91CEDC75F7EB75E4C1F271DDD1847D110F99B928
-17A86CAEB051392633223E6382D86FAEB59B6BE84274911DDCB15DA751244CAD
-6C66D7C7AFE3BFA787F285796368EA81B1B3025F77D7C1CD6A435E818E94A40B
-536EBA04DB060534CB8025BD9EA4F5DD3849E2C7AA0FFA0931E66C1EA8D2E0EF
-058E6CE1C280189BBF650D9BC0A3F7B5E066D3E4D1EF643EBFAC54612D940A96
-5EF571790CFAD5F5B21F5CC40E0CC5245BE4ED547BBEB0AFD2FC1286049870DB
-F1D801892A5000EE98650F526629A34A5FA8980B5C40EBC63797F8493FCE0F7E
-663D3F06F9F6F996128516FA16BD442254899F01C4C9FFF67DEE4B0BD26851B4
-15B1B8B6F16D14F08EC28FC3F2BD110F0001A0C79FB58133C3B6A0FA2625B1D3
-3DAC175F323D17F3801440E222EB682F6F798028DE362209A8109FC60E4D1C76
-229ED6598BF121B4DC9D9AA36A348055208C3D1FE319A61F64541DED8079A515
-5A8FE5C077CE8BD114CBB09B45FD6A49709A0B2EFC9FA2536B9F1035877648FC
-C412034F3B6AC3EBE851D907BDC46BBBE6F57BCFAE3AF02070716F75D086AEFA
-BF1EFE8A47D07FFB4278316316ADC47D780B559E7857ECD8986191A0E8E72D96
-29A4FEC05BD1833EAFC211C410F5909ACEB5FA29F5115AA360B060A40E9BF93B
-94FA7DB7AEABA1096ACC924684084F72FB37BF34B25B4E007B2589E2E8120037
-FBB84EC65B072159883B49AD67B11BEE7C06CB878531F6BC5DD2ACE9788AFCA8
-0C39B05F46366478BE9459E2B4D6F4C81D1C226FB372A8116EC8453B8FA0E1D1
-1D5ED8BEB49EEC3F99F4386D564F6B5B176E95CD770A396C8B54F9EBDFF53B7D
-D582D1A2BF166D224AC145B3A62CCD650B2CEBB80EB68D02A58E9903D2227E80
-67371A4FDBB745BD0210A4CEFC9CF012074B685F36415C819B1E18979BB637B5
-1166D64107A881249C2D42427CFD89793BCA3789EE10241B680C6A2341EF6E6B
-67561E1623F0BCC4872D92619AEF3C8EAE2AEF5D62CD70EAD2050B98EFCA7023
-BDA746C6397C168A2A61BF671FA61DA381731AE13687C450F47020FF9652B157
-008FBD53F6D4B8CE5EF5629EECBA4D6BDFCF284D868359FC1015114C5C1B7EEA
-47B1D63C590972CA0913505EC9C671C26D146002B499744B2FC37895BC3EBC34
-29E945EDD85D109BF4C100049F7B93C11BE06622056430283316640DA69EB1BE
-31BCFCBFDC4ABF3EE41BFAE4B9A4DDFF244F685D27D76D133F8A877BE43EE22D
-825D40A93F2E0D399015042E619124803BD52C1896C4CF9C6E4882312EE917A8
-A9501C3011CD44CBC436C8E761E2959D19335DDF9BF26FB2394836E0ACFF4A30
-42A417A3372A74A919AA11E70AE7DC746B2D431B138A6BBE6547DE897CDB772F
-A4BE3685064A07C708079B7EA2F42BDEE11EC5EAC2AEBCE9F44DF4C29E086717
-58092A2689DDEAB9F030E535E8AF9098E76B93839A3DE1DED359B834DCC4B7B6
-92C436DE44B5D89A06AC307DE30A149EF9F53721F68B505FA21A22F32F188033
-53EACE936E0183BD0C7E937793E3EF0A222F6E8FD436A8323D5A58114D605300
-52845FB8F01BA0922C5FDD87957AB891489F5E46ADB5BD59CA5D2FC9D1B26CA3
-066775C80B0082C3DE5937D4545937F56EAB46738FCD1A24A9A4D97F61DC43D2
-CA479082A4A84E9175A7E8C21094568933F67CE1D5213936B49B2BE6F9368768
-DF779BB6282C88888D74C4390912E2D2EA493A95B4FFD9F5F3A396CA29C8E663
-21AF3CAD1FA8BC750448E0E75EF70A003B8E23F19C5696E3B18AB0F8A0AF9A8B
-F47548E8D4419E93140818EFC0B9293BBB8B9D9C316B5173C2CD9A14C53968BB
-D3902BAE5BB941DEF181DD76B6761BADC729F8FA02EF44E7EA56CB31157860A4
-AA8D92B63160A60DF26171D0E4E4794FFBB67AD1B85D2B0692D0EE8CAA979450
-51D64FB7A6BB666B1D13248F7396CDD13F8978312949300DAB813F2EB40A4703
-09A1C517A88E4A44162F528A51E95B5EE6BB5E6733B373B5C87D8CEEF4DDEE1D
-7EF98FCBF6FF52DAA01D2BDF2942B9B78C988BBB5AA677BC0D5CCA900F0CAB38
-192B032888C5D80E768FB8031C66313CB672765ED8B1F7A1325DC06A0B45CC23
-8FFE36D8C59814AFF562BCC1A46CD30D1FA3BB7E48AD2C356FCF154842893204
-82704AD82B597E9321A1071C881C26E5F65765DE3C6435EBD36B51DBF7D94A66
-6A1F08FE79A349553731E823D4FBD68D7200E813E6CB9B5FC886BD74463D878F
-4AAB94C01936087636B630BB768D3AEC47E4F945CE9697A210FB5F43BAB5D9DB
-F7020585CEC6B150FAD4952135F5E7A2795F0F6DE43A1EB9676C0E8E0592B507
-E2768F99FE038EB49DD9F76C1B072D0421A0EC1F7415CE529198D734D844CB3D
-9D0B0D091B6DE93ECCC1A1908A6DC72AB2E1EDFD757BE8853D834E73524C56F6
-53321E88285370C180189CBE85CC845AC56D85EBF6607F57AC49FF4E9F233B31
-7109BDF9CE10A69B4E5D74E9FA92D867AF73C88706728B831EF80490627A6590
-C759495C6B22B767A882608B57DDF327CBB292110C4CBB5A52B73E8456DB314E
-380F164764D83577FFB50BD55BF02C283760CE4681EC3547C8924C4CD4F781EB
-57AD024C39E297CFDA88C7186D8C4F52A7BAE052BFFD2589A713228A2B593CE7
-5B43D8E6AB3D9F7FB8322A9C5F34F060B34F1D5D3D238FEA0D36CB18B00300E3
-428C169CB1CE09ACFF38F2C1CF107B4C472018926A030097E70701893365E7F1
-8B0DAFB0AEA825F2DA5AC9DA8C6BE772B2D6EA51CB3E3534D8411214B848272C
-D92A3FF876B9F88D29D6E50341CDC416AF42E97FEC6694BE7AFFD1D2CA76B5A1
-3404B96E72C183641F326C2C329F07DD1ADA0AC61061103DCC7D7D4A656DC7EF
-DCDA5B4CE7A4B774664F90DF2B0AE0D907B4DF176469DA04B9888C7A54BBEA7D
-8822025D70905BB06DE98B7A8A38CE3DDDF452F8C899965291068CF417A37006
-93D78714ED92D7422208D1C1165129E4F0BA01739DB80DED33D4BFC73C562E1E
-9EB36A96421233432A8EFB5288B92D5DF146BB1930620A2EA3BFAB931AE79F41
-666A9E5F39C61E31E4C288B6C88A5DBD300C5F595D7D0F748A8E3131D6EB91C9
-A20643C290585EAF731DDF36045092E8962077FF914728D551B18187A0C79472
-A7D4A039F2BEB9741450FE88F3554A66F4B04299D26137E72924FC135E40F152
-266C8AACA7F46464B75FCC7088546175C78EBDD2F6C5016413973CAB7F444F94
-AA26C1EDD3C10A0B3BED00B9F9302050C51B4894B5A3B9CA77B851C53CC288D0
-E5758D6D1B630D243861E848A4235BA04D8A9BD12D1F2EFA7D4CF6979E38ED26
-A575B753F01DE913268C700D7B19E98A58FD386CEB18BA4DD295682FC9024C33
-8AC97183803EA6A54B1CE989F7BAC97C861A8895DC0B4308C20C9772BCB55D6A
-C94BCCB57B173D6789CB333B9EC03E7C8EFA2A8CA3705602966DD4329CA972D8
-AF10AB22C545235E45AE9850BC4A288BB2288FB00425423C8813958F03ABDCD8
-FB6B9142E8C081C34187192394E0F737FCFBBC90AA60A840C4856D3519C3DB2B
-439E484C0FF92A4EA3C331298434F044B4B776D48DC2B2F89C133F12253420D4
-D47A972B1308C959B428AE9D6DAF1540EF3A5C602B41888793BA5B253AF71D7A
-CE14E29CDD2A242CA808C7C4788729ECAEA072207821859BB191D5FB2569454D
-752D9EFCC443875688468143103A39BF52E47FAA4F3968F5C5B1512F51DFF5C3
-F27D32F898134A17D0A8FACCCC27AE971DBF980E2A5FCB52D0BD8B6114A08A8B
-4A1FF27FCF565E8219668D7590F0F06C04B59ABE1FFB6B917B986C2582819B2A
-D1E3ACDC6A23BF4D2FB7EC5EDF3731831254AD795426766124170C403E23FC64
-F87DA0818E79DD553DD3E4C9180CD47B171F96D16C0EC6BD8F15EF216ACBC255
-FB5092F2C4145E57F6322937DE3D01AB822D64B4360FA220541DAC041B03A4F7
-020FB910DFD09A1D0FE10579EDE72CE142E8149980AA7AF7FDC5B63F9D47BC5B
-B365A4DA15DB866AF96857B10F325D4EB35FD55F1B96202B10298C0F1875CBF1
-2E1F9CFD84F8F7A1071A11B391354EFD7C6F9B3B8F75E1D11A488BCF9C0827CA
-2F8BAABABB02178E2E4B98F3DF4F8FFC3C1ADB685328B0386F3AA2D06BCF01A1
-DFD375709BF3AA64081355555BDF219A141B6548B6DDBE3CEC6A34EE0420CE5B
-B3E94DC7916426BF55A6775CB329DD558EFC0F8CEC5B733F39870ECCCA0CD8E7
-8794BB652C53B239BAAA17E8C558866F5584D909992CED8523A2861EF8A78530
-8B0E4BF66885FB65BEA440D36B5A1282580E78C8262F31C7114416411F33D451
-D4E8EF83AC33E68C7C73CC95595AFA837B05732E88A88C845FDF2DE45A33D79C
-6D1E7149F5AB8F3899E3E3A823E01310B3A947A0DB64721CF28663795763D0E1
-0D0EA03CAB0E3EE98CB993925B19357AD0B0123BD653A53AFD11AB511508CD32
-97D78A6E0A0E346E45B320359C7385A38C3AE50B0C31AEB7EC0B58D8709463DC
-88CAD0B7F6D69BE205E02C79556357E84620CDC396CA8210D674151607B5EA5A
-9280EA17BBF3CA0D8FB5675D83F5D851D39293572407883109214C573C709732
-CEA59BB341DF38A5163952C96774B56DD76D6F064FA4A12015E247289FECE439
-84E08946AEBBFDE75FB97DF4AE201CA906FA258BD93DF1F320E3896E67C3566A
-9D73E06C5C0C6CC51137E872A4F89AD17F753432DB5E3D5AD7FDA045073640CB
-338F0920C8C381F35E8FC3853F363AE4E06163A8E6B43AAB093AE3274B8F9DCB
-D49FFD6B8E3F16845DC151D140211CF02981468595AC1DF1AE92AC968A7F0AA7
-8F591D7E9C2DAC8954759A2E000A4E1DF4F561FFB7352EBD7D4CD6D98E723C52
-5D6B12C8BC41298BF9E232BB1611A2EE4508BFF77788BD62CB6E20B0D9D04B1B
-0EC43DF870A889603AE62A60F1B29409068C9380D0C4237DC5F1678A609700C5
-B464DD2D9DF7301C864F54F488C25950872AB834F74871474303833B25961D78
-5103BCACD8FC3F9B497AC2628EFBA26FD76503B17F61634FF67837B4DE93E384
-288DAED3E972010032044C63E40CAF7D86C60905C9C1EAD5BE4633397D6D23B7
-84F0FE52F6F665810EA067A62D1B49DF36C74BC4C5FD6EBEECE68EE8BB068665
-EB15860EA666B5A29E5923A3793902915661DF04885E5E7BCA23E568D8F8A9EF
-054C4BC8E5854FF2385B7F0263CECD59990B54FF2247AFE3C1E12A28DC9FFEC9
-7A533BAA481AF417A5C227DDF813521A8D3DDC8757C8ED5D88C551A1E8A31111
-D913B6DCF93ACD23AFD3D43A69F40395B5874C2E5C9ADCAB24DFDFDAE2B8FB0D
-F6B5FB6DA0996BFA8BCACBE864A1B9B7C39BF427C9C4B61F343586C69853D06D
-D0021254827C7AA3592D0E9B51E5AC00977B49699816066F9B1BA4146388D150
-56DC818F490FEEC8282C97343EE351D09B98A409F7ECD65CA16605D3569AE4C6
-E3768DBA51F7E9DBE01C402EF3DDE4905DDF18B6E633EF3EB2A62BF1DB8D6972
-72B23887DECF4E4F419CED779850587BBD1662BCD5657ADB318E1853C873D959
-861435FCD3EF28A9372CA4B0FCB2D3E8E56EE87D758D3A56A9BB95F7B2B07C32
-EB6C3C7516D4E85880735CEB5362E13376D6B02CD61DE6A18E2790EF7914B36A
-52B4DA27604A975C2DB65056D45614A70D500633FC93DE1AE5615E96299AF99A
-BB0230B08A33CE0B5360467B512403AFFF714A308A9589017D2AB21E0E0C3E62
-33B752EB475AC64C5D65F481DEAB6CF12239A725034EEC8B964350ACE404F3C3
-BBE33F6ED8E54227DA6477E5B128B27B8801921DBDA961568B18E089E4B4AACD
-95353582F97FB496F910AA61562E24EBD6515EAC907ED4AC8372505EBFE2BE15
-BA500520D97DD619D80A5EF31CFE99B71CE6E1B501F420955208B26B5FE61119
-3549458F83D34FAA42FA7B7B7768CBAF2FE30622A95B8B11057143BAF618DED3
-60B7DA9F556CE300B9CF87B1BB241BD39142C3E0A65C2A6B258809491D118ECE
-4342C72E2B10C1B66A54575807AD16C7D6A64ACBB5FBCDEEE2DD064CE3E26604
-FBE9E704B73EE20AA4741B6700525BDA0A935F000011B21E356F2044825D9BBC
-BB9093881B668CDABFEB61139DB71EF2EC1571514DAC4BA371CAD6BD493F5B64
-DB4B9BFC32CA1A8A8CE59A01746B9DB6BDBA68E81467CCA972D398786237C0B0
-D90D16C351800467AC8FFD8B2EC90CAFA095E1744CC388408D461A16CEACBAF3
-2ACB1594F9D287F8B890AAF582747D1E57B9DDF7E113E18F1BB3153874E1CBD3
-413C5497CA139663A8C3727BB46188DDE718299CBA46DD56EE4950F26A712346
-198F98730772D831D2D1F6DEDDAE936D36BE1BCCD23E9E55E148CFEC3B6C7815
-53AACF2075EEB429C22B1B3B22C9C40E3059CE23DF0FAADFAD394DF8306CB164
-5540C9AFD5A6DD242C51B309F6538F88EDDBC340A31021C5E9ECB9EAE3364F66
-A14A731CFCA1AEA87CCC0889E861172B6205EDDA23E91D9D17EE7CBF8C90E493
-89810499595F36FE06C573C94F139001947D00FC9D41099171A9C097D4AA17C9
-59A6B746C5BB82F51C86EFBD2D577056DEF2AE48B269863802DAF757CC437F88
-A45B5F6E9BA6E498A15D2084441C19DFFADD5B6CB250B914A4E8E711CD43E8AF
-E785D0BE66569C2B523C4DD4898971DE2872EDECFE2828BD6E861A0A32EE2353
-4E663F97487F0CA2A830D33009FC62D8C5902400F6D924CB33FCE977D8B07885
-4C8764E364D3A1E79D3C563224A86EE55706CDC698F58AE655AE0E814367D7D3
-B9ACAE6B204104CB13852EFF0DAB339329FBC75A7022BE44B9416FEFEAE8633D
-D2AAD73C7442F266D9521D3C3A41007140D679509468DCF3ABD2F6B62024FF2C
-AA5214CDCEF3BDF6F16FD146E63FB62DA0A767BE2A46FB90D13DD114E254FC19
-DD967C9006D9D53DEF95A42647C106FA653844387025E4BF26EF1451CC7D036F
-C7CDD38D3D41C7364143A011E3C7EB01EEE9D05201DA36A8BBFD9DD0852EED04
-22EA6FF9695DAC17C4326B3652DA3559C68CB8AAB39C94DF4870729BEB8FADCF
-BBBBC2183F981BF28C67524E805DE26040F3B7403703DFE9551BF3BD905484CC
-2C385356798F87DE2F2B323C366B73D309B901BE63B7498F58D24B4452F19541
-F4D36F8266255144BB3D8B71C6B7D36F2DFD6CA5160BF380702D16E480F04EF7
-24A772789205D1F335D525FB7BDE3D6F5962793FCB7E834B9C997A277A751409
-D63C2690895E8D1F8D9D332A43250D89974FBF68775DD2161421E7F38F9514E2
-8928DE9A8B1485C4347621A2E510F55CD3014C4A64AF4B5DB04591FB37D5238D
-F70A4BEA1FD6D8C2587E8B279216F3CFDD4A9AA699CAAE9C9F8FFB21F3D8D736
-100C475C9E6E349B3C0491B9E89CD95556035A6B80C72988FE75BE14C9469790
-023576F2A5A8CD222AA98A6B35B578EC5BD2E149FD142E2B5C0721D7706EA7C0
-CBEE8ABC2C401C29962A2E1D1181C27FF8FC31991796D678799B6BD986A2913E
-9730E6434B6E8C9859DED69A2827E0855E8F04E86E416CC83B7F081BB42B4470
-150B5EF3138587340F7C89672F0898B5F2BD24E6CF6DBBE8F949B641EE080888
-6D9BB62BCA7A7C8204C1AD5D5FA37169E7DDAD2E2105CC17C43815049D5D66BF
-E9D49248B3DBFF1B09582FE57C950E6A69AC3CCAE1F26CD12A6D82349031E233
-A05FA9EB5083BA5441235414EF8800E2F82585DDA2140FE0C8C7B1B9B0142E29
-6E04E3BD7A74A7FBD5DF9E605B7D91028F543042E03F17DF3E5F7AC008AEE9F4
-876237FC1BCECABF1D95A3B807C65117E10016A1656AE2624337A67BD8A287D0
-E66406B598A3718FE81F48C8488164FEC5EE533B6F3058DD64820F579BC7001C
-5580C8CFD20D5FE61BC1C005A16E98F797D7A457519E174CCDF29E571D46AB9B
-5830C9E026DB0D458D70613A3F5DBF3C07B2299F12543FFF27BA5448239F3C42
-8AF17D1D0FD689318D66C386B036F9C148F9D071FA1CE01AB193CC7800B1C0D0
-D0E276C74E73109CBA3306EBD7023490EC8F78AF19CC54A58702D10ADCB59972
-FFBC57BB1BFE26F57013B1CE22C99B41B81FBF2CC2A46DD799BC281FD9F9579F
-8E64A06EDEEA230052C94FE54F6400CEC94A36097C37D0DD7B72D56605DBE148
-08626094C94F6C682AF956631DCF2D0F4B6CB558626B2F85FA992FAE4CF061A6
-AAA4E1774F780F7FF4F50F534EBADFD2104160219D8B37285FBD205875485FD8
-6E4AD404FD738A13C55D965D66B942A3E9CDE9305358EA0C8A645C9C522D272E
-65904E656EB62790AD4C41CCD2C0BAF511ED3E58727DD99D30CADE2CBC7B71FF
-D85D914D35AD5093B7C54F6EB5912C96A64B25DFE0444AC636A35F69C727DC54
-92FA0CBF45962777A050C5030AB3C3ED4F00506E2EEE34EB1A4D15A6811886F2
-60083F513A444BB1E6C5A27FE6B37CB04BF42F33F44E45A36BB6F02EC705294C
-31D15F41F7AA0AEDC1B5093D0FF2D9004BE9421F7DB603012DE37D2CECBB7803
-9083881A8B1AE79D505FCED0F645A98498143C25A483C45B5456DB61B4ACE6BD
-A76C5A7366929B8C6052964A05D61F56AF79E619C270BF83C48B08F249CC0D82
-5216C65F4F38CCC9FA625F8A432B9EEE87F0D8A0C1B84B8AE2A0EDA02EC43295
-0B81938EF0695444E5DC7D5CF9DDDB4F521ED468279499268EE30D917D7ABD78
-3EEF3338F48AAA2665C44030EDFDBBE73F340F43101A98616B1417D356055B11
-6D09FEE688786DF0EEC8CC4294AAC1AC17B04381C675EF6911ECFDDEB1619EEF
-096B194794A6497929890DE291772728238C9B65184441D3472A66E412729CAB
-C545941E8429B33D886C9FF4C0C109DFC184EDF21D4E3B60C72430F37279DA5C
-BEC1B408B1F30B2D88328ACDCDE8184C93F400C4DF978E102730C5A1B485AB68
-C151BC96DADD0E798C6011E810935F821A42CFF75FBA92ABD47A5E5D843157B8
-15241E31822BA7F7A426520A1FA55987384AAD3CDD084F2429BA534097C4AB5E
-6245499A7A349EE65E0B3BD5CE3D15AAA0C65700A1BF262091E9D7535E18E673
-A4A83342BE0346C77FE6D00C476E9E4F60965A7FA4DC3DCFE841EAD3907CF51A
-1CBB9E48AAA1D288BF2310C46BC29A974488E5B364EB51E8B1BB5142CC5E41B0
-57FCBDC25DB9DE2FC50532E855B0142C5F13CED30433C7D66CE00199BC7515E9
-81A743B5D2B0A352B385F8F9BEF69BDC40B3CE28A9BF5192EB6E419B9B81A0F3
-9A75507EAE7DDB173ECC0914F1F6832815118338B5D118698A3669608C3AC1A5
-658FBEA33BA867D0373254D398DF665654B7119DC1262B62586BB45A1B2928FE
-A6BD363F3C5C33E5219B96E6623C875FCC21C69480DDD7822204EA9ABB14ABE8
-0322F9DADEDD7AD9D9011672DB2142FCF3E15F6E180E77099841A25B0CC297E5
-53AA6BC39D6993D77377810D23D0FEC0F801035DA710E69D5724782E3794AF5B
-C45F5818ED84DD7295E38C9718B82DC69800D593CBE397BC35D7A0AB0D0F0FAD
-FD5DEA70CE3BCF0B459AF4EBE751F13C2265EEB450627EE642DFDFCDBF9BBB89
-706FF25F31A65E8668B484E618ED0FD332D36A0ABEC0BFE7C5FC9B7CE9B506FA
-1FD2BEDC97BFC8D9EE0D57B755C7800B842C56E6B2997A9ABE07A068AF17C6FD
-84FD0C5B40044A61B0930AB79428904F271ECF04D37766ED57332A86DE255EFE
-F62BDD320953E591D0EB83C00DCDAD70E128B42A52D9F4027196891748EAB5E7
-C4A4983B297F2C16EEE41736F1172BDD95A457F7FA3C5BDDF39B7FA2D81CE37D
-5DE845C57EA8BCD54980E9520CE27D4DB7CB960CB76414E138AC1FD0AF3D1889
-77A05F8154C352D39237A50AF0962D017B3600EC267E13CCCB1F78F2A109ACDA
-201446E07973F77D5D5D93045FFF5A5B17B38F7C80A05CB9C9221C1E15FEAD0A
-1FA6A9BBB17ABE698E490F5FDBF2AC375750B71CD69B48ACF2D777A3CC4C0763
-D919685FEB7556FC49787C214FC721617C30A718027382F47420E22DB67D4D67
-4DC1780898C5123AC4D1DE80A69D1CC093586F4BBE7BC0D6B1F52E55E31E9183
-F233F3740FFB2FA11E2B152EED9691CF25AAB7C17512EE7EFE95EB60FC042EA3
-0A75C4850201A09EE66BA3E83FC0004352C1FBEA25A6929DC8204DE420D3C1A0
-DD9938927618220A3654A75CC091ABED7BE9A50B8185A0CDA45A12E1CA1DDCD0
-10A79A1157F7D4DAB8ED082A6AD99E7312DCD70BF3F3F59F592A5EC8AFB4D813
-E8383EFA26D561BE092CEEB62EDBCFD64DBA96B202DB4FC6061B3D4147F054AA
-97AF8F6373F7380E953C0911FC201EA57BC5D961D5542430E4A1FE716928CF82
-F2EFF7DB2BF998E88A6A39849CFBC24D9C04AEC9265FF4DCFC489C0A2730A5BD
-AB334ED71616828167913EE7C7541C7EC2CE0234896E8E308934DF36B0AC5E35
-173C724846B634D834BF2839D15300B86D4855BC87C494BF67F433A858550FCB
-2493DB1A253B932A47B760CC73C4CD90CEFDCEF181F2537B83E4B55A406480B9
-4D95EEE5BBA68FC95DB7E875F046E62A350BE145BB455D4534E29C045546A3CC
-380114DB40B1245E324CA43C6B75FCFCC10F3BEA69A37AA45C3C5D296BE1F0FC
-C093F73401F48A5C1AE4555BA73C06F5CF0D46BFA42EF30A4F6BD2EB671640B1
-DFC908A7CB411E914FAB27FC0F84EA3BFA88FE61369C51C006BFD733E4182F0A
-9F85FEB871871B01669EFFF37647EA215DBDF27D33BA5858D95AE148A1E34994
-9135673ED136A9A62C941FAAD4F8861F8E3CEB9D7028409F15A937B8490C1F0A
-18EB1BD869BF213213C0370CF56C101BB9F1BA66AD343DB9C6E509B31AF974CB
-EECB17CD43DD28EC74CA76BF222F85F8EB8B53A751B28A50E29377221F24C560
-FAF3D0B1A1BBF482AED2CCE0C44FFF223FCD33CC87185F91F837C577300114CD
-7522BFA44DE4DE4D6A8ABB04D2DEBD777AEB7E11FD84E17355BEDD9D63F842DE
-9B3FB9AC47A3A56C12B76EACF4276907CD3694BD7EC9430C3C2FE591675888DF
-74D8524C109B6C423059AD687EE9C9F26324CBD54D4697B4DB559B759D6A2398
-1D1747A82AE108D3E074A2E3C67D0DB5D34E510E51713F5DDDBBE415E98B7D97
-DB42EEA3851982936CF26AC010BD298098DBB34FD094DF8D5C4FD1224C1C6D34
-38FE793F6C92210EBCAC43AC0CA320CFCE79CE5A91D5505CE2D5B6D58C8515D6
-92C3EFB570E919E3E132571477CB5A1BCD2392CF1083DCCD77C943339D16CF5A
-A3C4DA054649F858D0BF56F9C349FCBA16998FB34CC102C08A2399682D7C72AD
-8A5259EC2FC23FBC0D1375ABE2EE0214B6D850B397AFE5FB9A94E05F392A185E
-B0BACF0B92AD7075A43CAC4F2E23A0E7F4F0C089AA86615F4705E6E4CD205899
-A342A57057744673E4713B3A3546EAC156E5AEA4DEF892DC4C8F1D402F234578
-C91282519518079778812665E9079332357A84F68604C1C4BF0324B851ADB2C7
-3A982A45984CB1DBCF751C748AEB9F6A98D51861EAC7DA43C03D89BCDD0DD324
-4C473E0EC7DBB55DFEB669251C993C1E8C5C82468E0E5A02FF9B6A345E653F36
-109D7E493D1EF7ADEBD76ECE332CCBFBD34B7C02E64AE165937DD7545610DB53
-FCD9AC6DC9325FC83929E1E6027AC563D91B1619F82244DF54F7687C70C417D6
-FA2A3305385D0FD3633979C226FFAD50B7500A0437DA8EEE9559D23D11DF5174
-0B4A0EEE9E64C06C3DBFB4486CB03F355945ED9FC8CF5D1E0DC9474EB72381FB
-827170324177B85D0A1D57055C770837ED57B3C50A419F71D68B9A7F5261E712
-8FCF09677C997A763E16596975EC76717FCC249D8335E048A9FDE44F9811361F
-A799AF75413D49B938F3DC5ADA81BED8662A02CDC8ED2931045D43BA02BA1DC4
-23DFF4E4AA84FF1E46727E506EEA737C04B4686F12441751C616B740B8DB7D18
-63099EE6826EAC39CEBAEB8970A582F4411F2C182A86B52B8EC3AAF87BD7803C
-24C71FC4603D8D327F105FC631DDFC4D8AC24AF8469C7945F218A8F9E54476BB
-DB9EA29FDE2C24528E6C19EB98EFAE067286BF95CC05CF06428F8835E97CD957
-71232B5AD80AF89F4098151984B0BC41BAD21068A0E32AF279D3375D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 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000


@@ -6460,34 +5091,34 @@ DB9EA29FDE2C24528E6C19EB98EFAE067286BF95CC05CF06428F8835E97CD957
 cleartomark
 {restore}if
 %%EndFont 
 cleartomark
 {restore}if
 %%EndFont 

-%%BeginFont: CMBX10
-%!PS-AdobeFont-1.0: CMBX10 003.002
-%%Title: CMBX10
+%%BeginFont: CMR12
+%!PS-AdobeFont-1.0: CMR12 003.002
+%%Title: CMR12

 %Version: 003.002
 %%CreationDate: Mon Jul 13 16:17:00 2009
 %%Creator: David M. Jones
 %Copyright: Copyright (c) 1997, 2009 American Mathematical Society
 %Version: 003.002
 %%CreationDate: Mon Jul 13 16:17:00 2009
 %%Creator: David M. Jones
 %Copyright: Copyright (c) 1997, 2009 American Mathematical Society

-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMBX10.
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR12.

 % This Font Software is licensed under the SIL Open Font License, Version 1.1.
 % This license is in the accompanying file OFL.txt, and is also
 % available with a FAQ at: http://scripts.sil.org/OFL.
 %%EndComments
 % This Font Software is licensed under the SIL Open Font License, Version 1.1.
 % This license is in the accompanying file OFL.txt, and is also
 % available with a FAQ at: http://scripts.sil.org/OFL.
 %%EndComments

-FontDirectory/CMBX10 known{/CMBX10 findfont dup/UniqueID known{dup
-/UniqueID get 5000768 eq exch/FontType get 1 eq and}{pop false}ifelse
+FontDirectory/CMR12 known{/CMR12 findfont dup/UniqueID known{dup
+/UniqueID get 5000794 eq exch/FontType get 1 eq and}{pop false}ifelse

 {save true}{false}ifelse}{false}ifelse
 11 dict begin
 /FontType 1 def
 /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
 {save true}{false}ifelse}{false}ifelse
 11 dict begin
 /FontType 1 def
 /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def

-/FontName /CMBX10 def
-/FontBBox {-56 -250 1164 750 }readonly def
-/UniqueID 5000768 def
+/FontName /CMR12 def
+/FontBBox {-34 -251 988 750 }readonly def
+/UniqueID 5000794 def

 /PaintType 0 def
 /FontInfo 9 dict dup begin
 /version (003.002) readonly def
 /PaintType 0 def
 /FontInfo 9 dict dup begin
 /version (003.002) readonly def

-/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMBX10.) readonly def
-/FullName (CMBX10) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR12.) readonly def
+/FullName (CMR12) readonly def

 /FamilyName (Computer Modern) readonly def
 /FamilyName (Computer Modern) readonly def

-/Weight (Bold) readonly def
+/Weight (Medium) readonly def

 /ItalicAngle 0 def
 /isFixedPitch false def
 /UnderlinePosition -100 def
 /ItalicAngle 0 def
 /isFixedPitch false def
 /UnderlinePosition -100 def


@@ -6495,16 +5126,72 @@ FontDirectory/CMBX10 known{/CMBX10 findfont dup/UniqueID known{dup
 end readonly def
 /Encoding 256 array
 0 1 255 {1 index exch /.notdef put} for
 end readonly def
 /Encoding 256 array
 0 1 255 {1 index exch /.notdef put} for

+dup 11 /ff put
+dup 12 /fi put
+dup 22 /macron put
+dup 37 /percent put
+dup 39 /quoteright put
+dup 40 /parenleft put
+dup 41 /parenright put
+dup 43 /plus put
+dup 44 /comma put
+dup 45 /hyphen put
+dup 46 /period put
+dup 48 /zero put
+dup 49 /one put
+dup 50 /two put
+dup 51 /three put
+dup 52 /four put
+dup 53 /five put
+dup 54 /six put
+dup 55 /seven put
+dup 56 /eight put
+dup 57 /nine put
+dup 58 /colon put
+dup 61 /equal put

 dup 65 /A put
 dup 65 /A put

+dup 66 /B put
+dup 67 /C put
+dup 70 /F put
+dup 71 /G put
+dup 73 /I put

 dup 76 /L put
 dup 76 /L put

+dup 77 /M put
+dup 78 /N put
+dup 79 /O put

 dup 80 /P put
 dup 80 /P put

+dup 82 /R put
+dup 83 /S put
+dup 84 /T put
+dup 85 /U put
+dup 87 /W put
+dup 94 /circumflex put

 dup 97 /a put
 dup 98 /b put
 dup 99 /c put
 dup 97 /a put
 dup 98 /b put
 dup 99 /c put

+dup 100 /d put
+dup 101 /e put
+dup 102 /f put
+dup 103 /g put
+dup 104 /h put
+dup 105 /i put
+dup 106 /j put
+dup 107 /k put
+dup 108 /l put
+dup 109 /m put
+dup 110 /n put

 dup 111 /o put
 dup 111 /o put

+dup 112 /p put
+dup 113 /q put

 dup 114 /r put
 dup 115 /s put
 dup 116 /t put
 dup 114 /r put
 dup 115 /s put
 dup 116 /t put

+dup 117 /u put
+dup 118 /v put
+dup 119 /w put
+dup 120 /x put
+dup 121 /y put
+dup 122 /z put

 readonly def
 currentdict end
 currentfile eexec
 readonly def
 currentdict end
 currentfile eexec


@@ -6514,280 +5201,544 @@ D9D66F633B846AB284BCF8B0411B772DE5CE3DD325E55798292D7BD972BD75FA
 7C56816B03B901BF4A25A07175380E50A213F877C44778B3C5AADBCC86D6E551
 E6AF364B0BFCAAD22D8D558C5C81A7D425A1629DD5182206742D1D082A12F078
 0FD4F5F6D3129FCFFF1F4A912B0A7DEC8D33A57B5AE0328EF9D57ADDAC543273
 7C56816B03B901BF4A25A07175380E50A213F877C44778B3C5AADBCC86D6E551
 E6AF364B0BFCAAD22D8D558C5C81A7D425A1629DD5182206742D1D082A12F078
 0FD4F5F6D3129FCFFF1F4A912B0A7DEC8D33A57B5AE0328EF9D57ADDAC543273

-C01924195A181D03F5054A93B71E5065F8D92FE23794D2D43B233BABF23DF8DB
-B6C2BD2F04672F9A3B7FE430263E962F16A948319C51B8ADE6E8A80D3D88023A
-6DEA4D271676C2C8615C4A0EA7DC8F6601610F398673A4D4B905F49EA868FEF6
-39BE073001A36DEA6C08ED51452F062B971740019692E221F4455EDE46AF24B8
-407A98B791F6AD525C72C09776247E194043281D04FE1CD1D8AD8DCEEC3045B4
-F95B3B41CD3300768D8A049815348BD7AC1004F5500817E3A267D694AE108BAF
-285B288FC5F28A03E9D34FE5D9B2F9A9BB26ADE66B1CF8EB5BE606E83D213C33
-DE083C20D636EF780E761944FCE3B8A950B1E6E7568F33B557C6D59E0CEAF185
-53E609A4F58AC4D5269116F958C4D115C44B5A6DABAB79D3BB6E60BDFCECE108
-74CFBE258779F32C80CD7D9A7CEBA50A0966BD9961F71560119668C4A0C30A5D
-ED91ACB30940502B24F33906D6E0F16F81DA87EB6D7FC8B7853BE388C40D75C2
-2CA8F94713AAA1561F5321CE97997CB4AF0E37F44E25B0F73CF4986422B1CD89
-8F861CA623004ADB1C28268D7F8C484AA10C9519B6AEADC95AFAA3304D60E85D
-718B2F67D2B734095E5A92C90785252C98067DC05137BE735220BBCB7C341D61
-C4B98BFB1EAF883D38D7A93195A059EF82B42027F23B6CD633231D704B891A9B
-03D11A646F13898F20321D7BC150C63FD6DC6BF9CAFD8DA759E95384B729A0B2
-767B9F3E55C682F7A248BC1184F7D294CFFAE0B246DFCC8F215625DDD4F49F09
-FA8D41CBF4A06152FEB152C61539ADF7E70A4D23AF8267D25CE3B12D39D62377
-547E2528D18DC4134FA3BE0437EE0B3509223D71F06D44C6227D62BD01AC0A2A
-3EDA975E894371C07CA1027B102549A7D552FFD25ED2DCC68E29E71BBAB43C62
-57B0BFC6A953ABC2EF703F35D112F6B5460018CDCEAD17F149DBE5B52C2B9E10
-9818EA6D97C8AC884F6841C9B600A7D868F59C1D80E98DE0741D06D69858EC84
-1B33C6C9938B7E8A6FF6C12AD456EECBD3EBAF0D7331536B9F6422019FAFFFA4
-822E79D6D89D6366DA636CB708894FEF904F366E295F1CB808E78E883913C4FB
-1631248ED6A7CF1095C0C61C4F05E4B9DFC47533A5FD24540AD71A0E2907B98B
-28085EB88ABFC3478C9644594C7DC4244ED5A7C1CA8D960B65497D56D174645A
-B88F12C2CF0A807DA314017984CF3C4FB7F47392A651EB9CFA961B28E2989893
-9FC4D97171BD5338673F5D1CE2C3C08D48A1B77769F01D5058236C655FFD864B
-80E28F900191D4EB349AA5E400A7B0A0FCA0F3E79D7A7C69775BF754329397B7
-D18B20B2683CBC4A19729BA878B3C17EBA0A7E9EE297A5B67E915CAD92C8F356
-582B8299DE6A58E73408F525F7EA895C48A8F0D626A06A96A50348DFBE479D89
-4272576FBB0CD332193D28A8F11503BAE98F8E1D73CF5BCADF23DCD4E6586ABB
-323568F5A34E359661074D50CD8D9DF27191FCE24F10225A5D721EFDE2547E1D
-CA998077D2340B1A4ADFFF570AA677CDF3305D5E3A394BB1626EB35074D4EEAC
-2F037CA2EA389F7683FD17A8E07C12B4CB3BA8C249C9B12D297C618009F76717
-0EBF5F2DD39A6BDA10A2E5A811D4E190660F5FDDBA29201B6F8042620397AB2C
-E59267A7247B0463891831A6F40582BC3F614E5167B646A8F53D8A31717DD9A1
-9034034E705BA7884F0E0738307AF69D3517147C282747F2788462FDC4336A4F
-9CD222908401A25F0A1F7B13B8DAE622DC965AD0BE62497420B70C04AF432237
-E0FDD043456187658ED93B0F9822A3998511DF05E59CC85B7B9992CA0CE3B814
-9723BAE70D2631F32B4BF93511F67179FFAD2075E1591CA5907A4C67701B56CF
-A5E5B02EB4A842BA1F18D6864E5677359C2FB4AF5BCBABAFB053F230CC129B45
-8D15413F736EB07C571521C7DE2A13F2AC1C133D491B0A607197BE9AA1231D96
-BED7968788246B2E4D2BD330F802810F5BDA3760FEA5210CFC6F54748FB1D921
-5CC3624BBA5B8962AA7D94159651589540B17CF7A785F297264F9C1006D36928
-6E2756D3B623A6087E4B106FBA76255903C624C07E18A1AF4E185A533C640711
-86BB477A906ADD36EB6C8F4A12BC2F01B2B98412E4E105977640930CD998D990
-0254A1E5E9843B7A8ADE0AF6D5871E6D3D666465AE69813A2E26333213FF6713
-6F08D55A90C079A56E1B9AC655F720FC22B5AD8550FFF26DA7B0C5A0B60DDB05
-64E8FAF684F3A455BA9BC9278043D79537D201D520E38750335A4C8FEA887377
-879331B68DAD6B253F4FF9981D0F9B9550ED5179B15EEEB00E560A3DB6E5973B
-63403E4E2F40A3D0B937246E9652000B917B1369741E0F913C14C2D2D6D1FCBE
-2CEC4422177C58523715BD070002EC2E13D383A1DC8C84228862B6C5D3B65667
-9FA97E175239BB7FE7E37E14B96DD7960A8AD49DF428CFC13B5D3CC22E245317
-47B5244DA97F1DF954CED2D552477237CB23D037C0DE728E26C82738954EEA1F
-F34FE497DA005AF03746DD2ACF77F6E6F2C224862A1D18AF6F7A5DAF34564387
-9E01DBFF49F8621C058C04C2B3F4F3033FF3E8A977B2CD6B2A3CA4A6C569B19F
-C5AC457AE9AF334DA66A730960C7565E93A2D373C0E3DE14646FFDA05DF4C6EB
-6D4CA8ACCA3C3115764F77B842581760BFB9E5C0EBE55308B0577A8F4D968CE2
-BA3361D79378D451DD150C34D7E901397AC63B33BD7DB13C50D678F5DE999238
-4B4EA15BD449C46F262D931478F5685CDEEC4C4201FC3EFA607AFB8F27AF6751
-125DE42D2FE2D31DE769B7E7FD8CC8C5D91343B537139A822A5BC4160BB5314E
-37501F65B4FC35475FE9E03E34CBF6795AE86CE409500BD0799DE39FA69978B6
-EC74D2197C03632D3F59B85F404DB31240968FA75059B2581B101E028CDECC2E
-7E5E25DFA106E9B8ADB81E82BE9ED3BAA9D03EEB22B7B67AB1262DF6AF5F5EFD
-A5627EFEB84F3A5F92EF2557EDA2843D7D18C592635623CEAB14CC3620F33986
-410D6DBAEF9F86E4E6682054540E2B01D8FF2161F10E66851A188BC15BD6666E
-8D3F21709F196A31EE676D28A2D12639CC2E7020A52910F052E61A0710DF09B0
-064171D05611451BD24FAD64716F141E1C41D3218A8115A3D73CA041D02B46D9
-28C3D07DF0FB668E8E91409C8D0A26A65CD737C075E026AC0A974C9BE658199B
-3B9D82ED95E4646977D8F60717DA4C68767DBD7E8320D5AA1D5DEB2E6B009759
-8282F27D64F1F904830AAB501CDA4D9233FC2F12F77F0FBCC46E6B729C71F6D5
-E6F3EA02EC35D1048394F4EF2177FC5EB726DE5EF2DE7997166B8BE5B5105D08
-EAAC3481FC612665CA112D3F889A0E5B7843EFFCEFACA24A01B6AC2B7DDE02F4
-A9295AA2409A3756BAAB44608DACBB56840060037869455BEBA46F10AFC68DD0
-0563843DF111C6D34911CF13AA6023E5E899060B5EC60D0F78FDEF3E981151A9
-24903EB13ED1A67EA1977449716D1A5A7EDE1A2E9465C9C2B20A58AF02D9F373
-73E627CBF296B3A6A4670C39F3B5EA30D76F0362C81020A1777F0ADDBC6B52F7
-213FEE1718214087837049CF2AF00407639657428B9E8B532F68B631611A3501
-3D9DCA38090E227BD0D6D0FB4130EE866DB6B195C873AFD18DDB3B1E40F740C6
-B3B375ADCBBF628A07A5FACED539FEDA3379D3B60216C2EA6629BE2F65199D82
-FE3AE627D7C67270F3497AE75F7A9514968B5950E2D63C38DA240AF4E6CAE88E
-E25167D179108679876E7C80C85FE1D2BCC2EC9B88BE76A8F5736E8E6B3A9CF9
-42E58A4ECB7914865E67C1468CF66D658206830B9380FE346DC2DC4BB56A92CE
-4B5E4EA9036C177869315A2D9E6CFE97E3BFD7CBE0747D40CE5E8A3A0988576B
-8AD2B1E4314C0D8A0CBCA08844A49F7E054D31BA7543730C0A7390BC4A288D10
-CE29E389A4791305D3AC1BB6F77C805F1032787306F78FF76A20A9E629899F6D
-13356768D33D7B9E294E8CD50CBFB9CA02A193922BD9B4372C912D1689B6644D
-52CAA30F7421E8114D077288119AD9514EF21E5B9989CCE2ABA0C12549FDF493
-FFB39736AC9EB72DAF45E4EA6057527FA9F5AA0A1A3F03C12F7482E465C766D3
-760DA7714D56C91BDAED507A5572BEB51A895F8DD3BD5AAB042650154FC7E4E5
-5EEA6194DF73AC5EE2CBD4EE26E29B1D2D0C458B4850BFE842DDF2EBB4E2A25D
-C6A11CA2D8F346E2B736DF88A3D57BC0380B52396A6C039212699F5D3342EB58
-0C3DD5D01D5078479BD9FD10C07925556C0AB0F03606F33796BA72074549EDA6
-E33644F62CA35207D7421D2727AD8419AD1772789D33405FCDDC9286BC34C974
-A52297F5BBD2E541E8BB473F733AE5097BBC9D5FACF18DE4173B4711E28B23ED
-16E0A6746A60F6FF903026A3900169EDA87D98396E762C2EC963D89197B8CD0C
-25244806BE7CBF46BE60A8F9171731EADFC969C28679B025371E5572E52A0EF8
-B3FD9B4638D03E20BFDEC9345E70B8166D38846DCA68E0D0B4B53629C7E7620B
-45E0A610BCD07FEF8814CF915CFB11119F42407D1C6DC1E6353451D40A382C2E
-C74DF2A4889ED5A3495C3E973565F7178CA190D22C9693C10EB12C1E7A8679CE
-4AFECFC964CC98111BA4ED2BA9B10292A71D5B11870EB08EB483922CE8628A06
-05E7CF6DF93E112B60EF888AA8DB52994EC33DC7277D7B7A4F913AD30257261A
-D6EE80476A9A8D316D190BE6CE0046CBBCED365AB305495284FA921BE0638E00
-63DB2AA4C5F163340BCCD1061B469504DEE350B82FBE1689C1B65D095405614B
-35997D6F0DACA7190D64ABA351705B17B23FE2EE5996FCD607F49F54392463EC
-DD5B944A4B82FA2BE3E75E2946D483060DF99277340B0AB65A2042AD088E2B75
-BBDAB869D1940F64B50D25078519D18748AD64AC5615EFAAF4F3105B0111AD40
-70EE173ABE6A4ACE486B4E5999158A4377FDA6922FAA6E9305F48570D14BC81F
-BFF4C663E1EA9D1E050534F9315A663C4C5DA52CB02EA6408AA473C32CB0CD71
-169BB43C0508A842F400240F0063243B4C459A1FCB3312C41C32ED0EE87F591A
-BCB6D5D3830AE4645CB4D40336DB4AB6540B52E70E1EA415CC6D886827EBC5B3
-EC35CC5C136243B0C20B3C603B648B132B99D05F9B48263ACFA59A856BE74441
-FECF5C6D1FE9D1F4F9942F460961901E16017144C37E83C6822177B2A6C47ECC
-6C47A1104460665E5BCFCF08874008302750EB991CD98D0D8D22B921F90B99B9
-05EE7C39F2BC2A7798157503743C9F2F267BDBE2E8A4CDA7317F81DBF8962E1C
-EC02822CC7F770FD4D08D335904375BF0C6DAA0510771627ECB9EE69C0F47D30
-69A87052989DF80D9F4F19F75B070C3689AB3BE0966453F9D56CED6C1745B50D
-813AE6D7E44B73423AB3778ABE4CD2C4DF40E14C5A426043F7057E2DFA2DAA70
-EA6723F1C7967FECB1E7C1C0CA283334163FBE31C32254490170C3513580A552
-19A5DD75E6C4ADCB12D33517A03318A6BBC7E4214266E125140D8C40F78A0340
-1F95D9FBEC4DCC55B71E89375AA94B0D55646F6C069561480407D0A3AC127024
-D7D1E9ED6B599A2A8766B8792F46D35508B66F302D289405B101A3C6BADA680D
-8C56E2A00B766A4CB155446F862FCF17537A2BE85418E20CD77C4F1F69F70BC6
-17BB5DA8FAA876D0E8BABE273A19C04A8697B3E3CF4725E2C77C8761A9243F24
-96F8AE96399996001A57FD75106745AB4646FB9C6421F1D4EBF3BE533BD11AE8
-14BFBD6D308376B26E08E4ADA490DDCCA94BE8240403D5EB0FE3549061DFB668
-4105B4FE77189546619B6BCF3F9723E278E98D50A17DB8A4C46744FA21760635
-5B332689316BD17C966D466AE737FE3ED7ABC443ADD88D4823A10BC9747ABDEE
-027515AC353A420523F85298029475D8BFD83A2CD00C02CA07974BAA581D2215
-A850E6E4C0A5E17E0EDF91C63FAC18C70093F40FEEAF0350B403E2806F4EAE96
-BF616A805616EE55C4657418C26CAF54187A6684821B86A76F15088AC4D5B551
-66C3CA8DC61E9810858D1204F899C7E3A1754F483134609F6EEE6364B1CC04FD
-92C86EF194FA3249601AD722D75D1D395CD15A93C768EC60A486AE885683364F
-93DA00A865C1035F913FDA69E7D9A0422880FB81EC23C00427F07A5EA3CCB613
-83C859958AC53FAEA26A6BB39ABA068863CCE3D447720BC31A5136E08EE58963
-093AF587A72112D55853A1048A2B1695DB2D7F13CC924F2F0902071260C33ED6
-30893A04577C0ACF0681C0FEC23E5404F844A83BB5A2F8DE1F0792196139993C
-1152094BC36A6AE5BAB4B8281E506F485F0BAEEBBE71E174B7CED1E52A8242F9
-DBDF3E0FBA296538D964EB5B7A4E23B1BB0F59872C9D4FE8498203E3AC08B71E
-D2B965AA6CD5D20DA6C83FDC86F4A5D68A58A72C5BB9BFE9BC755C56B24025CE
-6F24443D3CF32CD711D3D94C7C1DC275DDAE3341D840090F97CB6CAEF274C94F
-9F3BD3AAB3F98BA8A7B5CE5E48D1462DAAB37BEB1C10B410E8D33FA42D898183
-BD4F807112D78AA94509E33C179BF7C9E82E55AA7D09E128A0DA06A330CF4AF8
-5DC861498CE029CE8C1BD15C923A708F2E7AF98E4F7B34212A0CB417553C86EB
-6DD46B0466F1A21D29FC5111226794ECFCA5DD4240C0B8D106CCD7EA6F03E133
-BB7733F055D6FFA04EF5C6F872B4FDA3E42F0F036C4825543D75682ACF71B548
-DED160ACD05625274799D0AE201305DA526E01A3D2A719B1B15C05CC09467F3A
-5627860C0F36C503EE392E1786620F3F2287AFE56634E03566B9B1F537FD92A2
-913166228791871A8F8CBA1A1DA634E8224058052A10FE1E67CBD3FD21A6C07E
-243CBF58BDC78577847664EEA5225EB8D6679AB17C563848A9D4D58995EA3609
-51C1443B752A070D9872FE1643F0677019235AC25DC2B29169D38308F2170A1A
-A0FDCC59E6602197D2815B914041FFC7106DAAAF30CD97400C6D0826A40385A4
-C8520119A065CF32CF2FC5FBD8DFD29222528A7F96FDA533145846B3428F8239
-E50277C366418D713F84B12A5FD4F904DC13DB1844A391FDAEB97643A6FD2945
-942FD4FC5A4A35E184F23304B8B4D93D0C37EFCC4E106D4FCD0DA3E5D2117589
-3FFC2BD1D121026562C55C455C3585050B9460891B006F62D9D9B66695C3D348
-A467C14C0256FA9621CB056E7CD389505194FF463BCC4010897F9A690EA87D9D
-BB3ED4C174FBADB8A4744C6E4A44D773967FD703EC37672F9993DC48BCC8A060
-6CEFE8E6B8F10886E15BA0466AF410B90DF0020FAB88BE493606B6A734EA85BB
-926950EB10D2F2CFDBD182B0F133809612CCF6ACCAD049C8005A42FAF78368B9
-E7684F98DE421BE0A3BC0FAEE024A7BE67E15C8394F17FE84DFD8156C2A3E94D
-08259E15CC657E8CE3088395BF6B5F825764E141AE15EBD186DC049261623D26
-8636705E06C6E4A1F8ACAEA59F91B042DF5DB9C2AB986A784384706A43E5F18E
-42C29CC1CA86D4F247B3BBBC89F3633EE074DCA4AC15B1E33EE4822812A62E88
-C32B0AA57249980EE17AFC1346074800FA529445D18649A0475246A25CF325A0
-BDA06AAF392FD455218B13D9ED577D51A9500B9FB7860716A8E2FB3A8C4BE3B3
-6656C6A5653AEF00184020ACA0BCCBF48BE3BF91E11C8658686C89848E714E6D
-DC158223A6FA88131B1F171E129FD3D93F1D96C7B9CA647E44F7C88DC08AE8DD
-9AD5CEE1CEBF48DE25B2081C4DE68DB262D48140DDE065ED14BC49D1C31A9141
-525C7DA98CCE8E3196392E7CC944A3871381AB89F49649486C002BFB9868AD7D
-CB5C1AAF8099653AFC4BDE0B934DBC586BB0734DEDA5444334FB5421F83930B5
-CFAD1BB49419E3CF459EF266D04FBDA4D467D56929A551B8800C7A6C788A2048
-7BEA2C74D7CDCB0EFE22E31292C3C35D79F9289601D571837A508EBF531591F1
-A56E7D1E22A65FB87F2741DB017FE6C5895D6B38283878928E69D0B4B7D9FCE1
-5EF46B077F00A027FF49E581739F38141B8B4B03A97451C9296C2100009D54C0
-722BEC75EC3DD97F90FEC0044612E8EB5CA65ED931CC5E0FE1F28D6567509735
-B6D2645F8EA27F25C4422B243192B9041EE87B67934AFFDAE5D2205E9E7DAD8A
-3C087831F46724D977E6B768F35E7566E858B2CC4E9DD3BFC7614951C2A139B6
-8C1936059511BE83E22175FD33DE7F72835EB14C8D5C3926CD47F8CD3FCB12D0
-CC866F1414B3ADB8D0C7057CA3ED41F50F51F98245557B7C88B47FB90B939217
-1DBF9964BBEC03013F324BD4B1E3053CE5935AE0DE2D8839376A78D70FA44F19
-74ABA413D6624884D32EC1130C4E43A7FCC0FFCB223701D9052A758A98DD2884
-28DC05CC52F59D616EF85F9DFBC28C80EBF44CB95368A12024C0BB437E97A0EB
-B4121AF68EDC8F75DF47CCF6216626AAAFA4DFC47FF9D123C26CAE4B8FDD306B
-66B9355E59A1D98F1F7053697D44C0741B8F28EE7DB9F2761DD12FB60ADA0247
-C9FB6C645E702EC701B68DB40148C9FE39D955FE41A893432B8CB5E80FBFBA2F
-FF1155EDDEFA2EF538083B9CB3ECF0786C7F4EF8C2A5A242E84CFD4DC50ADFEA
-0C2ACBAD7686A3C54532B07F8856E3D629286E320BE4C005197209E047724453
-58B5F9DE15A8D07B47ED81BD81CDBC0A6BFF8EF29877FA13D418CAED879EBB38
-2A0600F3123E5BB8ACC107D8B722419A9C1F8EBE330CB37E572A8DB0D0565F05
-E271CF122E3770490B395E4B6753DCA4A6667BB22C841A91A8AC118812C9BB0E
-89F3D077266A39B34F4B3F800F4C6613C9390DD953FFA0EBCDCED96FF1576600
-F1389BAC04F9EFA74966998231F43AB56A939CEA08AFA133FBDC57CD092B3743
-A235A8448523E4FB61522B51536AD69F860DA406B0B75A27CEE1E7B75A2C332D
-7F0A2D13ACAB1D2ABF05489EEEE1EE3B133ED53C51EAB75CF06C2B39A08C17B2
-1FF5BBADD8023AB9D1FCF2AC39103594EC513B8D0E3767D8880357E5017147E5
-372F54B764A8DECC5CE6F99021DFFBB66ACDDAEDF48DF5462FC528DFD9CBDD74
-BFD2C45FD1A30675D11E8F2817E361F92C4EF485C8FD1E8D1BED5B24BC6E9028
-702C35FE1AD1E853FF97236F55AF6FBCD9AF0E167742D0BD0E131BEBE6A3EBCB
-36C819ADC8129883E984EC2061DFB9076663755FA79860C1C2C5C6B21B02CD81
-95B2DFC7EE69059FF0772237BF80D6DDCA23C442FC7F602F7454B539410E44CC
-26D3A3E0F450318BD182CB6F86A9427036BFF3BC35087D6FD299F59348E83D03
-5D239244B1CFE54978102D98A02AC42F97E0A60594F529E8FF51941EDBB2A2F8
-5ECF808E3F4FFD94B01957CD3FB55AC860F03B25E84E1FD6B673162DB60C0DFD
-D137447C06EBD7A93A6C0E4A2AE7B93036E9A47C8B46867E4755F9209521010A
-9DA6BAAF89C49B6ACB4DC451F9C298E764FA16D597879F762BF740A42AAF883A
-B9A38A4C8F080133CF33344CC6DB7EEF07FC3A6FCA1100129D7F1AF9F3739F06
-3D8D05B59B2A9DF0298F4DDA3A412FF4F71DC5AA368E0EA45AE3A0C9A76C320D
-DC35376D4AE23E173182D4D98D4C5EFA0825D933E8F580318F2172FC810D8660
-4C883BCDADDB6EF52427E0B6EF01893AA6D9E4B7582ACD74AC46BE3E8161DEF9
-4D00C992E57075394491E440BC1FAC67742DFC48851CF2FB3FD9B134E7F7B9B3
-49EB005E2E7957E228D691615958EBF63E296F9109677915EDEBA3654EAC3D7D
-B0F23F6BA62413A6D32AE3655EE53594884ABCD9438DC463998811CE2124971A
-52A5FF779385EB4DA75F7FCBD08EA5AC1920F4E395EB7A69DCE16AF779DB5E9C
-C4CF9BCC9CF53232454B14C15C5E30DF58127605F77B4949B3B5E1DC217E8A1F
-BD9B828B8E5DDE117195515FAE8AB259EB719E1F850331D50EF2E7C281D0DB7A
-23E5BD03AE612624714E9347EB76B1AFBF0CEEF539B3350F8194910480F0F209
-BB65AAE476588E98D30769FBC59E4382D77CA2CCE5EF95185D221C638D42440C
-823B7E1446292E1E83326540226092FB64E999E27D331F055947FFE8F1569AF9
-28D45EAD81CD008AF53351EB618A05E057650C001AB61E0272DCBD10FDD37B53
-D2CB167BDAF30596267BBB68A650C1FB977045201E64134B695D6ACDE1BD7924
-D3A52987FE058B210EFEA8FFFF18AFDDB577081D617807E103BE297E6EDBC3C0
-8E524947A8D9C31E9C0071AB87C5BBEA9E434CB2F22D2AB69682696B60381CB8
-257CEBB5AA8B7FEA73308A3EC5DA24457DF7F2AF3AC297D1CB6C35165B6B1939
-88507428F6AE8A28324F9A63B91B742B961682C6B9B54B9EB1C150070ED13CE5
-14C65CD86198555930853FA15F29029BC68549BB436B4F4BD19E2444FA584B47
-BCA8D14357F64ECA75B6B9CF9B4CD4F081D8D65ABD77399AD77050F8FD64A124
-F7554CC86903FEA3B92734533F8B24EAB9613AF7A2056B2CACCE0254B9C01FD0
-64981BC8177084E19BA04140B557D3393AD05F2D6974750360DB4A94DF016DCC
-50938A49210A0E86263A905505A2349466E4D4631E9F60172FAE4FCEE4E53DF1
-5F5C947D602A5BF8E5216FC6FE6A82AA4956359D4E701BB7EA01E8978FC14B88
-9458489203DFCFF525CA8378B2452CE49BFA9D117ADD0E20D72741FBAE1B5EF7
-C47B91F1C1CFC366FB6E6FEC323736A7DC6A33E41620F0A106EF14C53B006527
-EA8A69485955E8F0DE5D551DB9F6736C6B826581A99192B43E24D8D111DC0BFD
-D869CEC9BC48D62775F8301420C3040D948EBE425E0259E2410A72D9507006BD
-5ED77D71FC56FA2AA45B1CC0879B866D5142CED0041D9D134B945E7B017A6681
-20B867EE536CA28EF67062548268CA71200F2D15076CD7AD7D326F655965A855
-97050A5118EBBB463731A46C7796EE3758F2DF41AE4795E2AE9B96E44FC33918
-B19318D5380B088AE76E3865C19E8339BE162EC01BB6B326220C544939AC341E
-02287FDBC4BC0D2BF04D53B64758687A7C1ED63DC94CDD49577EF2E015E879ED
-9BD722505F86BDBF6ACFB90BC13FF0316E34B19158F85ACFEC0AA92927967D2F
-EEDC55ADD265A7BB016E51C6DEFF93DC47CBE42EDD560F4DAABC7CC250FA1F9C
-ADE40F5ABE27C7906B5474179ADCAAAFB8A4376BB41F83975B61DC83A5EDC5B0
-D263A664DD0AE7ADEF763887DD680B96F668D0F3EF9CC85EAD154783CFD5DC42
-1E1576F271EB435E9922F0533423E93D720ED881E74EA9E1D046EA10730CDBA5
-34ECE75BC31526922FA5736ACD875BD6093A1BE032656C83ABD946D48222D846
-7F5186407FCBC25BF913F7A6451CCCB972C60BFC81FF7301D6C5EE06DE66D0D2
-5E89865BBC9A0BD9168FFE380A6C923C47CCD30194C2BC9B0F27DD2A2B0E9B81
-8BF6F0252DCDA44EC9976DB56AE412DF0B807A7C5A7BEAB0D625692FDB3F7E2B
-3DF88CD9E04E5AAA65AC2E6DBE4C677948EE7C4527A6E8EE8CE36738C97AD887
-7E38930CDFA73C480C469CBA9E8C1A4C52B81D51B3C4AA456E81BDC4344B3931
-67C766B161804EFADA92B5FA732EC15868DC2300A5FEE13DC6EA469E715965A9
-5A5B9CCBC4C26C9520AE8D8C4295EC426F0CF95249D6A5ECEC62E1E0B1079E22
-84903F881832A1C294B06353A7E8E4FEB417AA9BE7365E73081C2C3991A23A95
-F0BC4AC481A6254CD48173B7A80E79A032008D58465A83221FDE29BF4B6BD5CE
-5721EF77EC6D58103A4CDC86D2F70C34172E3824906F33330897FB5FF44474A7
-D09BB692DA514CE55B23086F1FDFAA6AED4365A5152E7AB409C3D1A28A150B29
-E3E50612079C767E1DF6905A13B63273EE7B635C703C25F75455FD39E113E5D0
-D6F27C24A5EF61144C869377E07B66EEF856973E580037E6FC61D3F9A1DD2CE8
-9D6D745F2A7B6582ACCEA72D53A2F780864D431B9E526A30498B4EC3EA863323
-243D717DA58627C8E8BA5898C70919EFBA8EBA1BAD3D23C757D4BB4ACD2109F2
-BD9C7300D3C2260F2CC7A3EF50B35BFA0B2A18491A2B89777E0114BCD5A3D7DA
-F6C2CE41A6862BEBE068BAF0734C727C35C39686306388C4955026E6EC743573
-53A3FF74BBE5A6AFF74D2D6A280065EDBA261780411B76501AE96D9180821AFA
-1712893C90931C7F70FF1BAD455C7C13572572BE5568909FBDDEB9C7FC451920
-4114928E7754F336EEBE55940B86CDDA46DB4C8923C37CB63FAC54D5559116D4
-53CB54B086052BD1F5992408690466915F4C782A7E3B60635C48E9A255B03349
-E46F78BB6AC81D435833DFEB1C000DCFCCE022351D7F7CD5066673DCB5CD623D
-91F2F738CC1EFCA7D826575EA01C605BEEC1451E02329BE8D5445EDCEAF13687
-93FACCE81E17244A4B69806832D55B2116EFE440491CF5401AB1E0510999658A
-9D3C50788E537675304FD7B55636EBD07200C8B945D6EFF7DB373E24BBF823EC
-695DD2A3B0C77F0367E6894DC00CE0BC5C367AEAE8F4A1D8C97223FF011E3E4E
-F0019485588E91F32531ADD54B1681EB325913195A5C47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 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000
 0000000000000000000000000000000000000000000000000000000000000000


@@ -7162,51 +6113,41 @@ cleartomark
 {restore}if
 %%EndFont 
 TeXDict begin 39158274 55380987 1000 600 600 (rapport.dvi)
 {restore}if
 %%EndFont 
 TeXDict begin 39158274 55380987 1000 600 600 (rapport.dvi)

-@start /Fa 137[59 1[44 44 46 2[56 62 1[31 2[31 3[51 62
-50 1[54 29[81 54[62 12[{}14 99.6264 /CMBX12 rf /Fb 150[33
-24[63 80[{}2 99.6264 /CMMI12 rf /Fc 137[45 50 35 37 33
-1[50 49 50 77 2[26 23 50 49 30 43 50 1[50 47 14[63 16[64
-18[27 1[27 44[{}22 99.6264 /CMSS12 rf
-%DVIPSBitmapFont: Fd tcrm0800 8 1
-/Fd 1 43 df<000C0000001E0000001E0000001E0000001E0000001E0000601E0180781E
-0780FC0C0FC07F0C3F803F8C7F0007CCF80001FFE000007F8000001E0000007F800001FF
-E00007CCF8003F8C7F007F0C3F80FC0C0FC0781E0780601E0180001E0000001E0000001E
-0000001E0000001E0000000C00001A1D7C9E23>42 D E
-%EndDVIPSBitmapFont
-/Fe 137[33 5[36 36 7[33 1[33 1[33 33 36 61[58 35[{}9
-66.4176 /CMTI8 rf /Ff 136[59 1[45 32 32 34 1[45 41 45
+@start /Fa 134[45 1[66 45 50 35 37 33 1[50 49 50 77 23
+1[26 23 50 49 30 43 50 1[50 47 13[54 63 16[64 9[49 1[49
+2[49 1[49 1[27 1[27 44[{}30 99.6264 /CMSS12 rf /Fb 213[35
+42[{ TS1Encoding ReEncodeFont }1 66.4176 /SFRM0800 rf
+/Fc 137[33 5[36 36 7[33 1[33 1[33 33 36 61[58 35[{}9
+66.4176 /CMTI8 rf /Fd 136[59 1[45 32 32 34 1[45 41 45

 68 23 43 1[23 45 1[25 37 45 1[45 40 97[{}18 66.4176 /CMBX8
 68 23 43 1[23 45 1[25 37 45 1[45 40 97[{}18 66.4176 /CMBX8

-rf /Fg 155[46 42 42 46 55[37 41[{}5 90.9091 /CMTI10 rf
-/Fh 238[42 42 16[{}2 66.4176 /CMEX8 rf /Fi 206[30 49[{}1
-49.8132 /CMR6 rf /Fj 255[48{}1 49.8132 /CMSY6 rf /Fk
-142[28 32 6[22 26[48 78[{}4 49.8132 /CMMI6 rf /Fl 141[91
-91 24[131 7[96 17[81 1[81 1[81 1[81 61 61 61 61 61 61
-14[53 53 14[67 67 18[{}18 90.9091 /CMEX10 rf /Fm 137[51
-54 38 38 38 1[54 49 54 81 27 1[30 27 1[49 30 43 2[54
-49 12[70 54 72 16[73 6[27 49 49 49 49 49 49 49 49 49
-49 1[27 4[38 38 40[{}35 99.6264 /CMR12 rf /Fn 143[59
-8[35 35 52[71 15[71 32[55{}6 66.4176 /CMSY8 rf /Fo 142[32
-36 34 43 2[37 29 24 16[58 4[43 4[56 15[55 35 55 20 47[45
-11[{}15 66.4176 /CMMI8 rf /Fp 143[76 5[25 2[45 45 47[0
-28[71 24[71{}7 90.9091 /CMSY10 rf /Fq 134[37 37 1[37
-39 27 28 28 37 39 35 39 59 20 1[22 20 39 35 22 31 39
-31 39 35 2[35 20 1[20 6[51 39 52 1[48 3[44 14[55 2[20
-35 35 35 35 35 35 35 35 35 35 35 20 1[20 55 1[27 27 20
-1[59 2[35 20 33[{}53 66.4176 /CMR8 rf /Fr 133[42 3[44
-52 2[41 41 46 1[55 80 2[37 31 4[47 9[62 1[75 3[53 56
-2[58 1[73 8[67 1[65 5[45 71 25 25 32[52 2[55 22[{}25
-90.9091 /CMMI10 rf /Fs 133[40 48 48 66 48 51 35 36 36
-48 51 45 51 76 25 48 28 25 51 45 28 40 51 40 51 45 2[45
-6[93 1[68 66 51 2[62 71 68 83 57 2[33 1[71 59 2[66 64
-68 3[71 2[25 45 45 45 45 45 45 45 45 45 45 1[25 30 25
-71 1[35 35 25 1[76 14[45 9[51 53 11[{}65 90.9091 /CMR10
-rf /Ft 154[61 75 60 75 65 55[52 41[{}6 119.552 /CMBX12
-rf /Fu 141[66 2[81 1[134 45 6[74 2[90 17[110 29[81 81
-49[{}9 143.462 /CMBX12 rf /Fv 139[41 41 43 2[52 11[46
-58 51 16[71 3[63 10[79 65[{}10 90.9091 /CMBX10 rf /Fw
-138[65 46 1[46 2[59 65 98 3[33 3[52 65 52 65 59 8[88
-8[91 11[85 8[33 6[59 59 59 59 3[33 44[{}21 119.552 /CMR12
-rf /Fx 139[61 62 61 2[79 88 133 2[47 43 3[70 1[70 14[115
+rf /Fe 155[50 45 45 50 55[40 41[{}5 99.6264 /CMTI12 rf
+/Ff 206[30 49[{}1 49.8132 /CMR6 rf /Fg 255[48{}1 49.8132
+/CMSY6 rf /Fh 142[28 32 6[22 26[48 78[{}4 49.8132 /CMMI6
+rf /Fi 141[100 100 24[144 7[105 19[89 1[89 1[89 66 66
+66 66 66 66 14[58 58 14[73 73 18[{}17 99.6264 /CMEX10
+rf /Fj 137[59 1[44 44 46 2[56 62 1[31 2[31 3[51 62 50
+1[54 16[77 3[67 8[81 54[62 12[{}16 99.6264 /CMBX12 rf
+/Fk 143[59 1[35 6[35 35 52[71 15[71 32[55{}7 66.4176
+/CMSY8 rf /Fl 142[32 36 34 43 2[37 29 24 16[58 4[43 4[56
+15[55 35 55 20 47[45 11[{}15 66.4176 /CMMI8 rf /Fm 143[83
+5[28 2[50 50 47[0 28[77 24[77{}7 99.6264 /CMSY10 rf /Fn
+134[37 37 1[37 39 27 28 28 37 39 35 39 59 20 1[22 20
+39 35 22 31 39 31 39 35 2[35 20 1[20 6[51 39 2[48 3[44
+14[55 2[20 35 35 35 35 35 35 35 35 35 35 35 20 1[20 55
+1[27 27 20 1[59 2[35 20 33[{}52 66.4176 /CMR8 rf /Fo
+133[45 3[47 56 2[44 43 49 1[58 85 2[40 33 4[51 9[67 1[81
+3[57 60 2[63 1[78 8[72 1[70 5[49 76 27 27 32[55 2[59
+22[{}25 99.6264 /CMMI12 rf /Fp 133[43 51 51 70 51 54
+38 38 38 51 54 49 54 81 27 51 30 27 54 49 30 43 54 43
+54 49 2[49 6[100 1[73 70 54 72 1[66 76 73 89 61 2[35
+1[77 64 2[70 69 73 3[76 2[27 49 49 49 49 49 49 49 49
+49 49 1[27 33 27 76 1[38 38 27 1[81 14[49 9[54 57 11[{}66
+99.6264 /CMR12 rf /Fq 154[61 75 60 75 65 55[52 41[{}6
+119.552 /CMBX12 rf /Fr 141[66 2[81 1[134 45 6[74 2[90
+17[110 29[81 81 49[{}9 143.462 /CMBX12 rf /Fs 138[65
+46 1[46 2[59 65 98 3[33 3[52 65 52 65 59 17[91 11[85
+8[33 2[59 3[59 59 59 59 3[33 44[{}21 119.552 /CMR12 rf
+/Ft 139[61 62 61 2[79 88 133 2[47 43 3[70 1[70 14[115

 88 2[108 2[146 11[119 10[79 79 79 1[79 79 49[{}20 172.188
 /CMR17 rf end
 %%EndProlog
 88 2[108 2[146 11[119 10[79 79 79 1[79 79 49[{}20 172.188
 /CMR17 rf end
 %%EndProlog


@@ -7222,1228 +6163,6077 @@ ifelse
  end
 %%EndSetup
 %%Page: 1 1
  end
 %%EndSetup
 %%Page: 1 1

-TeXDict begin 1 0 bop Black Black Black Black 763 502
-a Fx(Semester)52 b(Pro)9 b(ject)52 b(1)g(in)g(TMA4265)1098
-798 y Fw(Candidate)37 b(n)m(um)m(b)s(er:)51 b(XXXXXX)1443
-1032 y(Octob)s(er)38 b(31,)g(2011)p Black Black 1680
-1399 a Fv(Abstract)p Black Black 244 1666 a Fu(Problem)53
-b(1)244 1906 y Ft(a\))244 2077 y Fs(In)25 b(our)h(Mark)m(o)m(v)i(c)m
-(hain)f(w)m(e)g(can)f(v)-5 b(ary)27 b(the)f(the)h(parameters)f
-Fr(p)p Fs(,)h Fr(q)s Fs(,)g Fr(r)i Fs(and)d Fr(r)2814
-2091 y Fq(0)2853 2077 y Fs(,)i(whic)m(h)e(giv)m(es)h(\014v)m(e)244
-2190 y(di\013eren)m(t)k(t)m(yp)s(es)f(of)h(c)m(hains.)p
-Black 244 2370 a Fr(r)285 2384 y Fq(0)350 2370 y Fs(=)25
-b Fr(r)i Fs(=)e(0)p Black 458 2483 a(One)38 b(equiv)-5
-b(alence)39 b(class)f Fp(f)q Fs(0)p Fr(;)15 b Fs(1)p
-Fr(;)g Fs(2)p Fr(;)g(:::;)g(N)10 b Fp(g)42 b Fs(whic)m(h)37
-b(is)h(recurren)m(t,)i(p)s(erio)s(d)c Fr(d)i Fs(=)f(2.)63
-b(The)458 2595 y(limit)39 b(lim)809 2609 y Fo(n)p Fn(!1)1012
-2595 y Fr(P)28 b Fs(\()q Fr(X)1209 2609 y Fo(n)1281 2595
-y Fs(=)d Fr(j)5 b Fp(j)p Fr(X)1519 2609 y Fq(0)1585 2595
-y Fs(=)25 b Fr(i)p Fs(\))38 b(do)s(esn't)f(exist)h(b)s(ecause)f(the)h
-(class)g(is)f(recurren)m(t)458 2708 y(and)32 b(has)g(a)g(p)s(erio)s(d)f
-(not)h(equal)g(to)h(one.)46 b(This)31 b(means)h(that)h(the)f
-(probabilit)m(y)g(of)h(going)458 2821 y(from)g(state)h
-Fr(i)g Fs(to)f(state)i Fr(j)j Fs(dep)s(ends)31 b(on)i(whether)g(the)g
-(n)m(um)m(b)s(er)e(of)j(steps)e Fr(n)h Fs(is)g(ev)m(en)h(or)458
-2934 y(o)s(dd.)p Black 244 3089 a Fr(r)285 3103 y Fq(0)350
-3089 y Fs(=)25 b(0)p Fr(;)15 b Fs(0)26 b Fr(<)f(r)j(<)d
-Fs(1)35 b Fv(or)g Fs(0)26 b Fr(<)f(r)1281 3103 y Fq(0)1346
-3089 y Fr(<)g Fs(1)p Fr(;)15 b(r)28 b Fs(=)d(0)36 b Fv(or)f
-Fs(0)25 b Fr(<)g(r)2110 3103 y Fq(0)2175 3089 y Fr(<)g
-Fs(1)p Fr(;)15 b Fs(0)27 b Fr(<)e(r)i(<)e Fs(1)p Black
-458 3201 a(One)37 b(equiv)-5 b(alence)39 b(class)f Fp(f)q
-Fs(0)p Fr(;)15 b Fs(1)p Fr(;)g Fs(2)p Fr(;)g(:::;)g(N)10
-b Fp(g)t Fs(,)39 b(ergo)s(dic.)62 b(See)37 b(b)s(elo)m(w)h(for)f(a)h
-(deriv)-5 b(ation)38 b(of)458 3314 y(the)31 b(limiting)g(probabilities)
-g(lim)1601 3328 y Fo(n)p Fn(!1)1804 3314 y Fr(P)d Fs(\()p
-Fr(X)2000 3328 y Fo(n)2073 3314 y Fs(=)d Fr(j)5 b Fp(j)p
-Fr(X)2311 3328 y Fq(0)2377 3314 y Fs(=)25 b Fr(i)p Fs(\).)p
-Black 244 3469 a Fr(r)285 3483 y Fq(0)350 3469 y Fs(=)g(1)p
-Fr(;)15 b(r)28 b Fs(=)d(0)p Black 458 3582 a(Three)i(equiv)-5
-b(alence)28 b(classes.)41 b(The)26 b(classes)i Fp(f)p
-Fs(0)p Fp(g)g Fs(and)e Fp(f)q Fr(N)10 b Fp(g)27 b Fs(are)g(recurren)m
-(t)f(with)h(p)s(erio)s(d)458 3695 y Fr(d)f Fs(=)f(1,)31
-b(while)f(the)h(class)g Fp(f)q Fs(1)p Fr(;)15 b(:::;)g(N)32
-b Fp(\000)20 b Fs(1)p Fp(g)31 b Fs(is)f(transien)m(t)h(with)f(p)s(erio)
-s(d)f Fr(d)d Fs(=)f(2.)p Black 244 3849 a Fr(r)285 3863
-y Fq(0)350 3849 y Fs(=)g(1)p Fr(;)15 b Fs(0)26 b Fr(<)f(r)j(<)d
-Fs(1)p Black 458 3962 a(This)e(case)h(b)s(eha)m(v)m(es)g(lik)m(e)h(the)
-e(previous)g(case)h(except)h(that)f(the)f(p)s(erio)s(d)f(of)h(the)h
-(transien)m(t)458 4075 y(class)32 b Fp(f)p Fs(1)p Fr(;)15
-b(:::;)g(N)32 b Fp(\000)20 b Fs(1)p Fp(g)31 b Fs(has)f(p)s(erio)s(d)g
-Fr(d)25 b Fs(=)g(1.)380 4254 y(In)35 b(the)g(cases)h(when)e
-Fr(r)1176 4268 y Fq(0)1249 4254 y Fp(6)p Fs(=)e(0)k(and)e(the)i(c)m
-(hain)f(is)g(ergo)s(dic,)j(it)d(is)g(p)s(ossible)g(to)h(deriv)m(e)f
-(the)244 4367 y(limiting)40 b(probabilities,)i(and)c(they)h(will)g(not)
-g(dep)s(end)e(on)i(whic)m(h)g(state)h(w)m(e)f(start)h(in.)65
-b(W)-8 b(e)244 4480 y(b)s(egin)30 b(our)g(deriv)-5 b(ation)31
-b(b)m(y)f(taking)h(one)g(step)f(from)g(time)h Fr(i)21
-b Fp(\000)f Fs(1)31 b(to)g(time)g Fr(i)p Fs(:)1160 4684
-y Fr(\031)1212 4698 y Fo(i)1266 4684 y Fs(=)25 b Fr(\031)1414
-4698 y Fo(i)p Fn(\000)p Fq(1)1532 4684 y Fr(P)1590 4698
-y Fo(i)p Fn(\000)p Fq(1)p Fo(;i)1772 4684 y Fs(+)20 b
-Fr(\031)1915 4698 y Fo(i)1943 4684 y Fr(P)2001 4698 y
-Fo(i;i)2094 4684 y Fs(+)f Fr(\031)2236 4698 y Fo(i)p
-Fq(+1)2355 4684 y Fr(P)2413 4698 y Fo(i;i)p Fq(+1)2575
-4684 y Fr(:)801 b Fs(\(1\))244 4888 y(Using)30 b(the)h(ab)s(o)m(v)m(e)h
-(and)d(the)i(fact)g(that)g Fr(r)1664 4902 y Fq(0)1734
-4888 y Fs(=)f(1)h(-)f Fr(p)2017 4902 y Fq(0)2056 4888
-y Fs(,)h(w)m(e)g(see)g(that)1479 5085 y Fr(\031)1531
-5099 y Fq(0)1596 5085 y Fs(=)25 b Fr(\031)1744 5099 y
-Fq(0)1783 5085 y Fs(\(1)c Fp(\000)f Fr(p)2021 5099 y
-Fq(0)2060 5085 y Fs(\))g(+)g Fr(\031)2258 5099 y Fq(1)2298
-5085 y Fr(q)s(;)1394 5223 y(\031)1446 5237 y Fq(0)1485
-5223 y Fr(p)1531 5237 y Fq(0)1596 5223 y Fs(=)25 b Fr(\031)1744
-5237 y Fq(1)1783 5223 y Fr(q)s(:)3401 5154 y Fs(\(2\))244
-5419 y(Using)30 b(that)h Fr(r)i Fs(+)d Fr(p)g Fs(+)g
-Fr(q)j Fs(=)d(1,)h(the)g(equation)g(for)f Fr(\031)2043
-5433 y Fq(1)2113 5419 y Fs(b)s(ecomes)1463 5616 y Fr(\031)1515
-5630 y Fq(1)1579 5616 y Fs(=)25 b Fr(\031)1727 5630 y
-Fq(0)1766 5616 y Fr(p)1812 5630 y Fq(0)1872 5616 y Fs(+)20
-b Fr(\031)2015 5630 y Fq(1)2054 5616 y Fr(r)j Fs(+)d
-Fr(\031)2261 5630 y Fq(2)2300 5616 y Fr(q)1417 5753 y(\031)1469
-5767 y Fq(1)1508 5753 y Fr(p)25 b Fs(=)g Fr(\031)1727
-5767 y Fq(2)1766 5753 y Fr(q)s(:)3401 5685 y Fs(\(3\))p
-Black 1856 6065 a Fm(1)p Black eop end
+TeXDict begin 1 0 bop Black Black Black Black 763 442
+a Ft(Semester)52 b(Pro)9 b(ject)52 b(1)g(in)g(TMA4265)1215
+738 y Fs(Candidate)37 b(n)m(um)m(b)s(er:)51 b(10037)1443
+972 y(Octob)s(er)38 b(31,)g(2011)-60 1412 y Fr(Problem)53
+b(1)-60 1661 y Fq(a\))-60 1845 y Fp(In)28 b(our)g(Mark)m(o)m(v)h(c)m
+(hain)g(w)m(e)f(can)h(v)-5 b(ary)28 b(the)g(the)g(parameters)h
+Fo(p)p Fp(,)g Fo(q)t Fp(,)f Fo(r)j Fp(and)d Fo(r)2691
+1860 y Fn(0)2730 1845 y Fp(,)h(whic)m(h)g(giv)m(es)g(\014v)m(e)g
+(di\013eren)m(t)-60 1966 y(t)m(yp)s(es)34 b(of)e(c)m(hains.)p
+Black -60 2194 a Fo(r)-16 2209 y Fn(0)51 2194 y Fp(=)c
+Fo(r)i Fp(=)e(0)p Black 184 2314 a(One)48 b(equiv)-5
+b(alence)50 b(class)e Fm(f)p Fp(0)p Fo(;)17 b Fp(1)p
+Fo(;)g Fp(2)p Fo(;)g(:::;)g(N)10 b Fm(g)46 b Fp(whic)m(h)j(is)f
+(recurren)m(t,)53 b(p)s(erio)s(d)48 b Fo(d)53 b Fp(=)g(2.)88
+b(The)48 b(limit)184 2435 y(lim)319 2450 y Fl(n)p Fk(!1)524
+2435 y Fo(P)30 b Fp(\()p Fo(X)736 2450 y Fl(n)811 2435
+y Fp(=)d Fo(j)6 b Fm(j)p Fo(X)1069 2450 y Fn(0)1136 2435
+y Fp(=)27 b Fo(i)p Fp(\))f(do)s(esn't)f(exist)h(b)s(ecause)h(the)e
+(class)h(is)f(recurren)m(t)i(and)e(has)g(a)g(p)s(erio)s(d)184
+2555 y(not)41 b(equal)i(to)e(one.)70 b(This)43 b(means)f(that)f(the)h
+(probabilit)m(y)h(of)e(going)g(from)g(state)h Fo(i)g
+Fp(to)f(state)h Fo(j)184 2675 y Fp(dep)s(ends)34 b(on)f(whether)g(the)g
+(n)m(um)m(b)s(er)h(of)f(steps)h Fo(n)e Fp(is)h(ev)m(en)i(or)d(o)s(dd.)p
+Black -60 2879 a Fo(r)-16 2894 y Fn(0)51 2879 y Fp(=)c(0)p
+Fo(;)17 b Fp(0)27 b Fo(<)g(r)j(<)e Fp(1)37 b Fj(or)g
+Fp(0)28 b Fo(<)f(r)1054 2894 y Fn(0)1121 2879 y Fo(<)h
+Fp(1)p Fo(;)17 b(r)30 b Fp(=)d(0)37 b Fj(or)h Fp(0)27
+b Fo(<)h(r)1945 2894 y Fn(0)2012 2879 y Fo(<)f Fp(1)p
+Fo(;)17 b Fp(0)27 b Fo(<)h(r)i(<)e Fp(1)p Black 184 2999
+a(One)d(equiv)-5 b(alence)27 b(class)f Fm(f)p Fp(0)p
+Fo(;)17 b Fp(1)p Fo(;)g Fp(2)p Fo(;)g(:::;)g(N)10 b Fm(g)n
+Fp(,)27 b(ergo)s(dic.)41 b(See)25 b(b)s(elo)m(w)h(for)e(a)h(deriv)-5
+b(ation)25 b(of)f(the)h(limiting)184 3120 y(probabilities)34
+b(lim)878 3135 y Fl(n)p Fk(!1)1083 3120 y Fo(P)c Fp(\()p
+Fo(X)1295 3135 y Fl(n)1369 3120 y Fp(=)e Fo(j)6 b Fm(j)p
+Fo(X)1628 3135 y Fn(0)1695 3120 y Fp(=)27 b Fo(i)p Fp(\).)p
+Black -60 3323 a Fo(r)-16 3338 y Fn(0)51 3323 y Fp(=)h(1)p
+Fo(;)17 b(r)29 b Fp(=)f(0)p Black 184 3443 a(Three)35
+b(equiv)-5 b(alence)36 b(classes.)50 b(The)35 b(classes)g
+Fm(f)p Fp(0)p Fm(g)f Fp(and)g Fm(f)o Fo(N)10 b Fm(g)35
+b Fp(are)f(recurren)m(t)h(with)f(p)s(erio)s(d)g Fo(d)c
+Fp(=)g(1,)184 3564 y(while)k(the)f(class)g Fm(f)p Fp(1)p
+Fo(;)17 b(:::;)g(N)32 b Fm(\000)23 b Fp(1)p Fm(g)32 b
+Fp(is)h(transien)m(t)h(with)f(p)s(erio)s(d)f Fo(d)c Fp(=)f(2.)p
+Black -60 3767 a Fo(r)-16 3782 y Fn(0)51 3767 y Fp(=)h(1)p
+Fo(;)17 b Fp(0)27 b Fo(<)g(r)j(<)e Fp(1)p Black 184 3888
+a(This)34 b(case)f(b)s(eha)m(v)m(es)i(lik)m(e)f(the)g(previous)g(case)g
+(except)g(that)e(the)i(transien)m(t)g(class)f Fm(f)p
+Fp(1)p Fo(;)17 b(:::;)g(N)32 b Fm(\000)23 b Fp(1)p Fm(g)184
+4008 y Fp(has)33 b(p)s(erio)s(d)f Fo(d)c Fp(=)f(1.)86
+4236 y(In)38 b(the)h(cases)g(when)g Fo(r)941 4251 y Fn(0)1017
+4236 y Fm(6)p Fp(=)d(0)i(and)f(the)i(c)m(hain)f(is)h(ergo)s(dic,)g(it)f
+(is)g(p)s(ossible)h(to)e(deriv)m(e)j(the)e(limiting)-60
+4357 y(probabilities,)33 b(and)e(they)g(will)h(not)f(dep)s(end)h(on)f
+(whic)m(h)h(state)g(w)m(e)g(start)f(in.)43 b(W)-8 b(e)31
+b(b)s(egin)g(our)g(deriv)-5 b(ation)-60 4477 y(b)m(y)33
+b(taking)g(one)g(step)h(from)e(time)h Fo(i)23 b Fm(\000)f
+Fp(1)32 b(to)h(time)g Fo(i)p Fp(:)1132 4697 y Fo(\031)1187
+4712 y Fl(i)1243 4697 y Fp(=)27 b Fo(\031)1401 4712 y
+Fl(i)p Fk(\000)p Fn(1)1520 4697 y Fo(P)1583 4712 y Fl(i)p
+Fk(\000)p Fn(1)p Fl(;i)1767 4697 y Fp(+)22 b Fo(\031)1920
+4712 y Fl(i)1949 4697 y Fo(P)2012 4712 y Fl(i;i)2105
+4697 y Fp(+)g Fo(\031)2258 4712 y Fl(i)p Fn(+1)2377 4697
+y Fo(P)2440 4712 y Fl(i;i)p Fn(+1)2602 4697 y Fo(:)1067
+b Fp(\(1\))-60 4917 y(Using)33 b(the)g(ab)s(o)m(v)m(e)h(and)e(the)h
+(fact)g(that)f Fo(r)1464 4932 y Fn(0)1536 4917 y Fp(=)g(1)h(-)f
+Fo(p)1840 4932 y Fn(0)1879 4917 y Fp(,)h(w)m(e)g(see)h(that)1452
+5129 y Fo(\031)1507 5144 y Fn(0)1575 5129 y Fp(=)27 b
+Fo(\031)1733 5144 y Fn(0)1773 5129 y Fp(\(1)22 b Fm(\000)h
+Fo(p)2031 5144 y Fn(0)2070 5129 y Fp(\))f(+)g Fo(\031)2283
+5144 y Fn(1)2323 5129 y Fo(q)t(;)1364 5274 y(\031)1419
+5289 y Fn(0)1459 5274 y Fo(p)1508 5289 y Fn(0)1575 5274
+y Fp(=)27 b Fo(\031)1733 5289 y Fn(1)1773 5274 y Fo(q)t(:)3696
+5203 y Fp(\(2\))-60 5487 y(Using)33 b(that)g Fo(r)i Fp(+)d
+Fo(p)h Fp(+)f Fo(q)k Fp(=)d(1,)f(the)h(equation)g(for)f
+Fo(\031)1869 5502 y Fn(1)1942 5487 y Fp(b)s(ecomes)1439
+5699 y Fo(\031)1494 5714 y Fn(1)1561 5699 y Fp(=)c Fo(\031)1720
+5714 y Fn(0)1759 5699 y Fo(p)1808 5714 y Fn(0)1870 5699
+y Fp(+)22 b Fo(\031)2023 5714 y Fn(1)2063 5699 y Fo(r)i
+Fp(+)e Fo(\031)2284 5714 y Fn(2)2324 5699 y Fo(q)1390
+5844 y(\031)1445 5859 y Fn(1)1484 5844 y Fo(p)28 b Fp(=)g
+Fo(\031)1720 5859 y Fn(2)1759 5844 y Fo(q)t(:)3696 5773
+y Fp(\(3\))p Black 1856 6125 a(1)p Black eop end

 %%Page: 2 2
 %%Page: 2 2

-TeXDict begin 2 1 bop Black Black 244 100 a Fs(Con)m(tin)m(uing,)31
-b(w)m(e)g(see)g(that)1684 213 y Fr(\031)1736 227 y Fq(2)1775
-213 y Fr(p)25 b Fs(=)g Fr(\031)1994 227 y Fq(3)2033 213
-y Fr(q)1327 b Fs(\(4\))244 379 y(whic)m(h)30 b(leads)h(us)e(to)j(the)e
-(general)h(form)m(ula)g(for)f Fr(\031)1954 393 y Fo(i)1982
-379 y Fs(,)1637 584 y Fr(\031)1689 598 y Fo(i)1717 584
-y Fr(p)25 b Fs(=)g Fr(\031)1936 598 y Fo(i)p Fq(+1)2054
-584 y Fr(q)s(;)1278 b Fs(\(5\))244 788 y(with)30 b(0)c
-Fr(<)f(i)g(<)g(N)30 b Fp(\000)20 b Fs(1.)41 b(F)-8 b(or)31
-b Fr(i)26 b Fs(=)f Fr(N)30 b Fp(\000)20 b Fs(1)31 b(w)m(e)g(get)1577
-992 y Fr(\031)1629 1006 y Fo(N)7 b Fn(\000)p Fq(1)1787
-992 y Fr(p)25 b Fs(=)g Fr(\031)2006 1006 y Fo(N)2073
-992 y Fr(p)2119 1006 y Fq(0)2158 992 y Fr(:)1218 b Fs(\(6\))244
-1196 y(Com)m(bining)30 b(equations)h(\(2\))q(,)g(\(5\))g(and)f(\(6\))q
-(,)h(w)m(e)g(solv)m(e)g(for)f(the)h(general)g Fr(\031)2797
-1210 y Fo(i)2825 1196 y Fs(,)1302 1457 y Fr(\031)1354
-1471 y Fo(i)1407 1457 y Fs(=)1513 1396 y Fr(p)1559 1410
-y Fo(o)1597 1396 y Fr(p)1643 1363 y Fo(i)p Fn(\000)p
-Fq(1)p 1513 1436 249 4 v 1601 1519 a Fr(q)1645 1493 y
-Fo(i)1771 1457 y Fr(\031)1823 1471 y Fq(0)1892 1457 y
-Fs(for)g(0)25 b Fr(<)g(i)h(<)f(N)10 b Fs(.)942 b(\(7\))244
-1724 y(Since)30 b(w)m(e)g(are)g(dealing)h(with)e(limiting)i
-(probabilities,)g(w)m(e)f(ha)m(v)m(e)h(that)2706 1656
-y Fl(P)2802 1682 y Fo(N)2802 1751 y(i)p Fq(=0)2936 1724
-y Fr(\031)2988 1738 y Fo(i)3016 1724 y Fs(,)f(and)f(w)m(e)h(can)244
-1837 y(use)g(this)g(to)h(\014nd)e Fr(\031)923 1851 y
-Fq(0)993 1837 y Fs(and)g Fr(\031)1221 1851 y Fo(N)1319
-1837 y Fs(as)h(sho)m(wn:)1297 2071 y Fr(\031)1349 2085
-y Fo(o)1412 2071 y Fs(=)1951 2009 y(1)p 1518 2050 910
-4 v 1518 2155 a(1)21 b(+)1685 2114 y Fo(p)1721 2095 y
-Fk(N)p 1685 2134 94 4 v 1686 2190 a Fo(q)1720 2172 y
-Fk(N)1808 2155 y Fs(+)f Fr(p)1945 2169 y Fq(0)2000 2087
-y Fl(P)2096 2113 y Fo(N)7 b Fn(\000)p Fq(1)2096 2182
-y Fo(i)p Fq(=1)2278 2114 y Fo(p)2314 2095 y Fk(i)p Fj(\000)p
-Fi(1)p 2278 2134 141 4 v 2318 2189 a Fo(q)2352 2171 y
-Fk(i)2438 2071 y Fr(;)938 b Fs(\(8\))244 2366 y(and)30
-b Fr(\031)473 2380 y Fo(N)570 2366 y Fs(as)1635 2528
-y Fr(\031)1687 2542 y Fo(N)1780 2528 y Fs(=)1886 2467
-y Fr(p)1932 2434 y Fo(N)p 1886 2507 113 4 v 1887 2591
-a Fr(q)1931 2564 y Fo(N)2009 2528 y Fr(\031)2061 2542
-y Fq(0)2100 2528 y Fr(:)1276 b Fs(\(9\))244 2734 y(This)38
-b(concludes)h(the)h(deriv)-5 b(ation)39 b(of)h(the)f(limiting)h
-(probabilities)g(for)e(the)i(ergo)s(dic)f(c)m(hains)244
-2847 y(where)30 b Fr(r)548 2861 y Fq(0)612 2847 y Fp(6)p
-Fs(=)25 b(0)380 2960 y(When)39 b Fr(r)695 2974 y Fq(0)775
-2960 y Fs(=)g(1)h(the)f(Mark)m(o)m(v)i(c)m(hain)f(is)f(equiv)-5
-b(alen)m(t)41 b(to)f(the)f(Gam)m(blers)h(ruin)e(problem.)244
-3073 y(The)26 b(class)h(in)f(the)h(middle)f(is)g(transien)m(t)i(so)e(y)
-m(ou)h(will)g(alw)m(a)m(ys)h(end)e(up)f(in)h(the)h(\014rst)f(or)g(the)h
-(last)244 3185 y(state.)55 b(The)34 b(limiting)i(probabilit)m(y)f(is)g
-(therefore)g(zero)g(for)g(all)g(the)g(states)h(in)e(the)h(transien)m(t)
-244 3298 y(equiv)-5 b(alence)33 b(class.)47 b(W)-8 b(e)33
-b(will)f(see)h(that)f(the)h(v)-5 b(alue)32 b(of)g Fr(r)j
-Fs(do)s(es)d(not)g(matter)h(\(as)f(long)h(as)f(it)h(is)244
-3411 y(not)c(1\))h(b)s(ecause)f(a)h(jump)e(to)i(the)f(same)g(state)i
-(do)s(es)e(not)g(a\013ect)i(the)e(long)h(time)g(result)f(of)g(the)244
-3524 y(c)m(hain.)380 3637 y(The)h(problem)f(of)h(\014nding)f(the)h
-(limiting)h(probabilities)g(is)f(then)g(reduced)f(to)i(\014nding)d(the)
-244 3750 y(probabilit)m(y)d(of)f(ending)g(up)g(in)g(one)h(of)f(the)h(t)
-m(w)m(o)h(recurren)m(t)e(classes,)j(giv)m(en)e(the)g(starting)g(state.)
-244 3863 y(W)-8 b(e)31 b(start)g(b)m(y)g(de\014ning:)854
-4067 y Fr(P)912 4081 y Fo(i)965 4067 y Fs(=)25 b Fr(P)1119
-4081 y Fo(i;N)1256 4067 y Fs(=)g Fr(P)j Fs(\(end)i(up)f(in)h(state)i(N)
-f Fp(j)f Fs(start)h(in)f(state)i(i\))16 b Fr(:)448 b
-Fs(\(10\))244 4271 y(F)-8 b(rom)31 b(the)f(problem)g(de\014nition)g(w)m
-(e)h(ha)m(v)m(e)h(that)1080 4476 y Fr(P)1138 4490 y Fo(i)1192
-4476 y Fs(=)25 b Fr(pP)1392 4490 y Fo(i)p Fq(+1)1531
-4476 y Fs(+)20 b Fr(r)s(P)1724 4490 y Fo(i)1772 4476
-y Fs(+)g Fr(q)s(P)1965 4490 y Fo(i)p Fn(\000)p Fq(1)2114
-4476 y Fs(for)30 b(0)c Fr(<)f(i)g(<)g(N)10 b Fs(,)675
-b(\(11\))244 4680 y(and)30 b(using)g(the)g(fact)h(that)g
-Fr(p)20 b Fs(+)g Fr(q)j Fs(+)d Fr(r)28 b Fs(=)d(1)31
-b(w)m(e)g(can)f(deriv)m(e)h(the)g(follo)m(wing:)1115
-4876 y Fr(pP)1219 4890 y Fo(i)1267 4876 y Fs(+)20 b Fr(r)s(P)1460
-4890 y Fo(i)1508 4876 y Fs(+)g Fr(q)s(P)1701 4890 y Fo(i)1755
-4876 y Fs(=)25 b Fr(pP)1955 4890 y Fo(i)p Fq(+1)2093
-4876 y Fs(+)20 b Fr(r)s(P)2286 4890 y Fo(i)2335 4876
-y Fs(+)g Fr(q)s(P)2528 4890 y Fo(i)p Fn(\000)p Fq(1)1355
-5044 y Fr(P)1413 5058 y Fo(i)p Fq(+1)1552 5044 y Fp(\000)g
-Fr(P)1701 5058 y Fo(i)1755 5044 y Fs(=)1862 4982 y Fr(q)p
-1861 5023 46 4 v 1861 5106 a(p)1932 5044 y Fs(\()p Fr(P)2025
-5058 y Fo(i)2074 5044 y Fp(\000)g Fr(P)2223 5058 y Fo(i)p
-Fn(\000)p Fq(1)2341 5044 y Fs(\))c Fr(:)3355 4984 y Fs(\(12\))244
-5287 y(W)-8 b(riting)31 b(this)g(out)f(for)g(the)h(\014rst)f(terms,)g
-(and)g(using)g(that)h Fr(P)2348 5301 y Fq(0)2413 5287
-y Fs(=)25 b(0,)1196 5505 y Fr(P)1254 5519 y Fq(2)1314
-5505 y Fp(\000)20 b Fr(P)1463 5519 y Fq(1)1528 5505 y
-Fs(=)1634 5443 y Fr(q)p 1634 5484 V 1634 5567 a(p)1689
-5505 y Fs(\()p Fr(P)1782 5519 y Fq(1)1843 5505 y Fp(\000)f
-Fr(P)1991 5519 y Fq(0)2031 5505 y Fs(\))26 b(=)2199 5443
-y Fr(q)p 2198 5484 V 2198 5567 a(p)2254 5505 y(P)2312
-5519 y Fq(1)1196 5766 y Fr(P)1254 5780 y Fq(3)1314 5766
-y Fp(\000)20 b Fr(P)1463 5780 y Fq(2)1528 5766 y Fs(=)1634
-5705 y Fr(q)p 1634 5745 V 1634 5829 a(p)1689 5766 y Fs(\()p
-Fr(P)1782 5780 y Fq(2)1843 5766 y Fp(\000)f Fr(P)1991
-5780 y Fq(1)2031 5766 y Fs(\))26 b(=)2188 5638 y Fl(\022)2266
-5705 y Fr(q)p 2265 5745 V 2265 5829 a(p)2320 5638 y Fl(\023)2387
-5661 y Fq(2)2442 5766 y Fr(P)2500 5780 y Fq(1)2540 5766
-y Fr(;)3355 5651 y Fs(\(13\))p Black 1856 6065 a Fm(2)p
-Black eop end
+TeXDict begin 2 1 bop Black Black -60 40 a Fp(Con)m(tin)m(uing,)34
+b(w)m(e)g(see)f(that)1672 160 y Fo(\031)1727 175 y Fn(2)1767
+160 y Fo(p)27 b Fp(=)h Fo(\031)2002 175 y Fn(3)2042 160
+y Fo(q)1611 b Fp(\(4\))-60 334 y(whic)m(h)34 b(leads)g(us)f(to)f(the)h
+(general)g(form)m(ula)g(for)f Fo(\031)1774 349 y Fl(i)1802
+334 y Fp(,)1625 554 y Fo(\031)1680 569 y Fl(i)1708 554
+y Fo(p)c Fp(=)f Fo(\031)1943 569 y Fl(i)p Fn(+1)2062
+554 y Fo(q)t(;)1560 b Fp(\(5\))-60 774 y(with)33 b(0)28
+b Fo(<)f(i)h(<)g(N)k Fm(\000)23 b Fp(1.)43 b(F)-8 b(or)32
+b Fo(i)c Fp(=)f Fo(N)33 b Fm(\000)23 b Fp(1)32 b(w)m(e)i(get)1565
+994 y Fo(\031)1620 1009 y Fl(N)7 b Fk(\000)p Fn(1)1778
+994 y Fo(p)27 b Fp(=)h Fo(\031)2013 1009 y Fl(N)2080
+994 y Fo(p)2129 1009 y Fn(0)2169 994 y Fo(:)1500 b Fp(\(6\))-60
+1214 y(Com)m(bining)34 b(equations)g(\(2\))o(,)f(\(5\))f(and)h(\(6\))o
+(,)g(w)m(e)h(solv)m(e)g(for)e(the)h(general)g Fo(\031)2679
+1229 y Fl(i)2707 1214 y Fp(,)1268 1495 y Fo(\031)1323
+1510 y Fl(i)1379 1495 y Fp(=)1492 1427 y Fo(p)1541 1442
+y Fl(o)1579 1427 y Fo(p)1628 1391 y Fl(i)p Fk(\000)p
+Fn(1)p 1492 1472 255 4 v 1582 1563 a Fo(q)1629 1534 y
+Fl(i)1757 1495 y Fo(\031)1812 1510 y Fn(0)1884 1495 y
+Fp(for)f(0)27 b Fo(<)h(i)g(<)g(N)10 b Fp(.)1203 b(\(7\))-60
+1784 y(Since)34 b(w)m(e)h(are)e(dealing)h(with)g(limiting)f
+(probabilities,)i(w)m(e)g(ha)m(v)m(e)f(that)2595 1709
+y Fi(P)2700 1736 y Fl(N)2700 1813 y(i)p Fn(=0)2835 1784
+y Fo(\031)2890 1799 y Fl(i)2919 1784 y Fp(,)f(and)h(w)m(e)g(can)g(use)g
+(this)-60 1905 y(to)e(\014nd)h Fo(\031)309 1920 y Fn(0)382
+1905 y Fp(and)f Fo(\031)626 1920 y Fl(N)726 1905 y Fp(as)h(sho)m(wn:)
+1271 2159 y Fo(\031)1326 2174 y Fl(o)1392 2159 y Fp(=)1955
+2092 y(1)p 1506 2136 947 4 v 1506 2245 a(1)22 b(+)1685
+2201 y Fl(p)1721 2182 y Fh(N)p 1685 2222 94 4 v 1686
+2279 a Fl(q)1720 2260 y Fh(N)1810 2245 y Fp(+)g Fo(p)1957
+2260 y Fn(0)2013 2170 y Fi(P)2118 2196 y Fl(N)7 b Fk(\000)p
+Fn(1)2118 2274 y Fl(i)p Fn(=1)2302 2201 y Fl(p)2338 2182
+y Fh(i)p Fg(\000)p Ff(1)p 2302 2222 141 4 v 2342 2279
+a Fl(q)2376 2260 y Fh(i)2462 2159 y Fo(;)1207 b Fp(\(8\))-60
+2469 y(and)33 b Fo(\031)185 2484 y Fl(N)285 2469 y Fp(as)1624
+2641 y Fo(\031)1679 2656 y Fl(N)1775 2641 y Fp(=)1888
+2574 y Fo(p)1937 2538 y Fl(N)p 1888 2618 117 4 v 1889
+2710 a Fo(q)1936 2681 y Fl(N)2014 2641 y Fo(\031)2069
+2656 y Fn(0)2109 2641 y Fo(:)1560 b Fp(\(9\))-60 2861
+y(This)24 b(concludes)g(the)f(deriv)-5 b(ation)22 b(of)g(the)h
+(limiting)g(probabilities)h(for)d(the)i(ergo)s(dic)g(c)m(hains)h(where)
+f Fo(r)3574 2876 y Fn(0)3641 2861 y Fm(6)p Fp(=)28 b(0.)86
+2981 y(When)i Fo(r)411 2996 y Fn(0)478 2981 y Fp(=)e(1)h(the)g(Mark)m
+(o)m(v)i(c)m(hain)f(is)f(equiv)-5 b(alen)m(t)31 b(to)e(the)g(Gam)m
+(blers)h(ruin)g(problem.)43 b(The)30 b(class)g(in)-60
+3101 y(the)j(middle)g(is)g(transien)m(t)h(so)e(y)m(ou)h(will)g(alw)m(a)
+m(ys)h(end)f(up)g(in)g(the)g(\014rst)f(or)g(the)h(last)g(state.)44
+b(The)33 b(limiting)-60 3222 y(probabilit)m(y)g(is)f(therefore)g(zero)h
+(for)e(all)g(the)i(states)f(in)g(the)h(transien)m(t)f(equiv)-5
+b(alence)34 b(class.)45 b(W)-8 b(e)32 b(will)g(see)-60
+3342 y(that)d(the)h(v)-5 b(alue)30 b(of)f Fo(r)j Fp(do)s(es)e(not)g
+(matter)g(\(as)f(long)h(as)f(it)h(is)g(not)f(1\))g(b)s(ecause)i(a)f
+(jump)g(to)f(the)h(same)g(state)-60 3462 y(do)s(es)j(not)f(a\013ect)h
+(the)g(long)g(time)g(result)g(of)f(the)h(c)m(hain.)86
+3583 y(The)24 b(problem)f(of)e(\014nding)i(the)g(limiting)g
+(probabilities)g(is)g(then)g(reduced)h(to)e(\014nding)h(the)g
+(probabilit)m(y)-60 3703 y(of)f(ending)h(up)g(in)g(one)g(of)f(the)g(t)m
+(w)m(o)i(recurren)m(t)g(classes,)i(giv)m(en)e(the)f(starting)f(state.)
+41 b(W)-8 b(e)23 b(start)f(b)m(y)i(de\014ning:)782 3923
+y Fo(P)845 3938 y Fl(i)900 3923 y Fp(=)k Fo(P)1067 3938
+y Fl(i;N)1205 3923 y Fp(=)g Fo(P)i Fp(\(end)j(up)g(in)g(state)g(N)g
+Fm(j)f Fp(start)g(in)h(state)g(i\))17 b Fo(:)668 b Fp(\(10\))-60
+4143 y(F)-8 b(rom)32 b(the)h(problem)g(de\014nition)h(w)m(e)g(ha)m(v)m
+(e)f(that)1030 4363 y Fo(P)1093 4378 y Fl(i)1149 4363
+y Fp(=)27 b Fo(pP)1364 4378 y Fl(i)p Fn(+1)1505 4363
+y Fp(+)22 b Fo(r)s(P)1713 4378 y Fl(i)1763 4363 y Fp(+)g
+Fo(q)t(P)1971 4378 y Fl(i)p Fk(\000)p Fn(1)2121 4363
+y Fp(for)32 b(0)c Fo(<)f(i)h(<)g(N)10 b Fp(,)917 b(\(11\))-60
+4583 y(and)33 b(using)g(the)g(fact)f(that)h Fo(p)22 b
+Fp(+)g Fo(q)k Fp(+)c Fo(r)30 b Fp(=)e(1)k(w)m(e)i(can)e(deriv)m(e)j
+(the)e(follo)m(wing:)1069 4795 y Fo(pP)1181 4810 y Fl(i)1231
+4795 y Fp(+)22 b Fo(r)s(P)1439 4810 y Fl(i)1489 4795
+y Fp(+)g Fo(q)t(P)1697 4810 y Fl(i)1752 4795 y Fp(=)28
+b Fo(pP)1968 4810 y Fl(i)p Fn(+1)2108 4795 y Fp(+)22
+b Fo(r)s(P)2316 4810 y Fl(i)2366 4795 y Fp(+)g Fo(q)t(P)2574
+4810 y Fl(i)p Fk(\000)p Fn(1)1330 4974 y Fo(P)1393 4989
+y Fl(i)p Fn(+1)1534 4974 y Fm(\000)g Fo(P)1696 4989 y
+Fl(i)1752 4974 y Fp(=)1867 4907 y Fo(q)p 1866 4951 49
+4 v 1866 5043 a(p)1941 4974 y Fp(\()p Fo(P)2042 4989
+y Fl(i)2092 4974 y Fm(\000)h Fo(P)2255 4989 y Fl(i)p
+Fk(\000)p Fn(1)2373 4974 y Fp(\))17 b Fo(:)3647 4912
+y Fp(\(12\))-60 5239 y(W)-8 b(riting)33 b(this)g(out)f(for)g(the)h
+(\014rst)g(terms,)h(and)f(using)g(that)f Fo(P)2197 5254
+y Fn(0)2264 5239 y Fp(=)c(0,)1150 5477 y Fo(P)1213 5492
+y Fn(2)1274 5477 y Fm(\000)23 b Fo(P)1437 5492 y Fn(1)1504
+5477 y Fp(=)1618 5409 y Fo(q)p 1617 5454 V 1617 5545
+a(p)1676 5477 y Fp(\()p Fo(P)1777 5492 y Fn(1)1839 5477
+y Fm(\000)f Fo(P)2001 5492 y Fn(0)2041 5477 y Fp(\))27
+b(=)2221 5409 y Fo(q)p 2220 5454 V 2220 5545 a(p)2279
+5477 y(P)2342 5492 y Fn(1)1150 5759 y Fo(P)1213 5774
+y Fn(3)1274 5759 y Fm(\000)c Fo(P)1437 5774 y Fn(2)1504
+5759 y Fp(=)1618 5691 y Fo(q)p 1617 5736 V 1617 5827
+a(p)1676 5759 y Fp(\()p Fo(P)1777 5774 y Fn(2)1839 5759
+y Fm(\000)f Fo(P)2001 5774 y Fn(1)2041 5759 y Fp(\))27
+b(=)2210 5618 y Fi(\022)2294 5691 y Fo(q)p 2293 5736
+V 2293 5827 a(p)2352 5618 y Fi(\023)2425 5641 y Fn(2)2481
+5759 y Fo(P)2544 5774 y Fn(1)2584 5759 y Fo(;)3647 5635
+y Fp(\(13\))p Black 1856 6125 a(2)p Black eop end

 %%Page: 3 3
 %%Page: 3 3

-TeXDict begin 3 2 bop Black Black 244 100 a Fs(w)m(e)31
-b(quic)m(kly)g(see)g(a)g(pattern,)f(and)g(write)h(a)f(general)i(form)m
-(ula)1404 333 y Fr(P)1462 347 y Fo(i)1511 333 y Fp(\000)20
-b Fr(P)1660 347 y Fo(i)p Fn(\000)p Fq(1)1804 333 y Fs(=)1900
-205 y Fl(\022)1978 272 y Fr(q)p 1977 312 46 4 v 1977
-396 a(p)2033 205 y Fl(\023)2100 228 y Fo(i)p Fn(\000)p
-Fq(1)2233 333 y Fr(P)2291 347 y Fq(1)2331 333 y Fr(:)999
-b Fs(\(14\))244 548 y(Summing)29 b(up)g(giv)m(es)944
-791 y Fr(P)1002 805 y Fo(i)1051 791 y Fp(\000)20 b Fr(P)1200
-805 y Fq(1)1265 791 y Fs(=)25 b Fr(P)1419 805 y Fq(1)1474
-636 y Fl(")1527 663 y(\022)1605 730 y Fr(q)p 1604 771
-V 1604 854 a(p)1660 663 y Fl(\023)1747 791 y Fs(+)1838
-663 y Fl(\022)1916 730 y Fr(q)p 1915 771 V 1915 854 a(p)1970
-663 y Fl(\023)2037 686 y Fq(2)2097 791 y Fs(+)20 b Fr(:)15
-b(:)g(:)21 b Fs(+)2405 663 y Fl(\022)2483 730 y Fr(q)p
-2482 771 V 2482 854 a(p)2537 663 y Fl(\023)2604 686 y
-Fo(i)p Fn(\000)p Fq(1)2723 636 y Fl(#)2791 791 y Fr(;)539
-b Fs(\(15\))244 1035 y(whic)m(h)30 b(is)g(a)h(\014nite)f(geometric)j
-(series,)e(simplifying)f(to:)1335 1342 y Fr(P)1393 1356
-y Fo(i)1447 1342 y Fs(=)1543 1129 y Fl(8)1543 1211 y(>)1543
-1238 y(<)1543 1402 y(>)1543 1429 y(:)1634 1208 y Fq(1)p
-Fn(\000)1724 1134 y Fh(\020)1777 1177 y Fk(q)p 1776 1193
-33 3 v 1776 1234 a(p)1818 1134 y Fh(\021)1860 1152 y
-Fk(i)p 1634 1258 253 4 v 1647 1338 a Fq(1)p Fn(\000)1737
-1265 y Fh(\020)1790 1307 y Fk(q)p 1789 1323 33 3 v 1789
-1364 a(p)1831 1265 y Fh(\021)1896 1279 y Fr(P)1954 1293
-y Fq(1)2085 1279 y Fs(if)2179 1238 y Fo(q)p 2178 1258
-36 4 v 2178 1310 a(p)2249 1279 y Fp(6)p Fs(=)25 b(1,)1624
-1476 y Fr(iP)1713 1490 y Fq(1)2085 1476 y Fs(if)2179
-1435 y Fo(q)p 2178 1455 V 2178 1508 a(p)2249 1476 y Fs(=)g(1.)3355
-1342 y(\(16\))244 1650 y(Getting)34 b(to)g(state)g Fr(N)43
-b Fs(from)32 b(state)i Fr(N)43 b Fs(has)32 b(probabilit)m(y)h
-Fr(P)2282 1664 y Fo(N)2383 1650 y Fs(equal)g(to)h(one,)f(from)g(whic)m
-(h)f(w)m(e)244 1763 y(can)f(\014nd)d(the)j(unkno)m(wn)e
-Fr(P)1196 1777 y Fq(1)1236 1763 y Fs(,)1363 2071 y Fr(P)1421
-2085 y Fq(1)1486 2071 y Fs(=)1582 1858 y Fl(8)1582 1939
-y(>)1582 1967 y(<)1582 2130 y(>)1582 2158 y(:)1701 1924
-y Fq(1)p Fn(\000)1791 1850 y Fh(\020)1844 1893 y Fk(q)p
-1844 1909 33 3 v 1844 1950 a(p)1885 1850 y Fh(\021)p
-1672 1974 285 4 v 1672 2068 a Fq(1)p Fn(\000)1762 1994
-y Fh(\020)1816 2037 y Fk(q)p 1815 2052 33 3 v 1815 2094
-a(p)1857 1994 y Fh(\021)1899 2012 y Fk(N)2057 1995 y
-Fs(if)2151 1954 y Fo(q)p 2151 1974 36 4 v 2151 2026 a(p)2221
-1995 y Fp(6)p Fs(=)c(1,)1686 2170 y Fq(1)p 1672 2185
-64 4 v 1672 2237 a Fo(N)2057 2206 y Fs(if)2151 2165 y
-Fo(q)p 2151 2185 36 4 v 2151 2237 a(p)2221 2206 y Fs(=)g(1.)3355
-2071 y(\(17\))244 2385 y(Substituting)30 b(this)g(in)m(to)h(\(16\))h(w)
-m(e)f(get)1223 2704 y Fr(P)1281 2718 y Fo(i)1335 2704
-y Fs(=)25 b Fr(P)1489 2718 y Fo(i;N)1625 2704 y Fs(=)1721
-2490 y Fl(8)1721 2572 y(>)1721 2600 y(<)1721 2763 y(>)1721
-2790 y(:)1828 2563 y Fq(1)p Fn(\000)1918 2489 y Fh(\020)1971
-2532 y Fk(q)p 1970 2548 33 3 v 1970 2589 a(p)2012 2489
-y Fh(\021)2054 2507 y Fk(i)p 1812 2613 285 4 v 1812 2707
-a Fq(1)p Fn(\000)1902 2633 y Fh(\020)1955 2676 y Fk(q)p
-1954 2691 33 3 v 1954 2733 a(p)1996 2633 y Fh(\021)2038
-2651 y Fk(N)2197 2634 y Fs(if)2291 2593 y Fo(q)p 2290
-2613 36 4 v 2290 2665 a(p)2361 2634 y Fp(6)p Fs(=)g(1,)1832
-2809 y Fo(i)p 1812 2824 64 4 v 1812 2876 a(N)2197 2845
-y Fs(if)2291 2804 y Fo(q)p 2290 2824 36 4 v 2290 2876
-a(p)2361 2845 y Fs(=)g(1.)3355 2704 y(\(18\))244 3019
-y(This)32 b(is)h(the)g(probabilit)m(y)h(of)f(ending)f(up)g(in)h(state)h
-Fr(N)43 b Fs(when)32 b(starting)i(in)f(state)h Fr(i)p
-Fs(.)49 b(Since)33 b(all)244 3131 y(the)g(states)h(other)f(than)f
-(state)i(0)f(and)f Fr(N)43 b Fs(are)33 b(transien)m(t,)h(the)f
-(probabilit)m(y)g(of)g(ending)f(up)g(in)244 3244 y(state)g(0)e(will)h
-(b)s(e)f Fr(P)896 3258 y Fo(i;)p Fq(0)1004 3244 y Fs(=)25
-b(1)c Fp(\000)f Fr(P)1315 3258 y Fo(i;N)1426 3244 y Fs(.)244
-3516 y Ft(b\))244 3687 y Fs(Let)29 b Fr(\026)460 3701
-y Fo(i)517 3687 y Fs(b)s(e)f(the)h(exp)s(ected)h(time)f(used)f(to)i(go)
-g(from)e(state)i Fr(i)g Fs(to)f(state)i Fr(i)17 b Fs(+)g(1.)41
-b(By)29 b(conditioning)244 3800 y(on)h(the)h(outcome)g(of)g(the)f(next)
-h(jump,)e(w)m(e)i(get)1105 3964 y Fr(\026)1160 3978 y
-Fo(i)1213 3964 y Fs(=)25 b Fr(p)20 b Fs(+)g Fr(q)s Fs(\(1)h(+)f
-Fr(\026)1757 3978 y Fo(i)p Fn(\000)p Fq(1)1895 3964 y
-Fs(+)g Fr(\026)2041 3978 y Fo(i)2069 3964 y Fs(\))31
-b(for)f(0)c Fr(<)f(i)g(<)g(N)10 b Fs(,)1059 4151 y Fr(p\026)1160
-4165 y Fo(i)1213 4151 y Fs(=)1319 4089 y(1)p 1319 4130
-46 4 v 1319 4213 a Fr(p)1395 4151 y Fs(+)1497 4089 y
-Fr(q)p 1496 4130 V 1496 4213 a(p)1552 4151 y(\026)1607
-4165 y Fo(i)p Fn(\000)p Fq(1)1725 4151 y Fr(:)3355 4081
-y Fs(\(19\))244 4360 y(When)20 b(the)h(Mark)m(o)m(v)h(c)m(hain)f(is)f
-(in)g(state)i(0,)h(going)f(to)f(state)h(1)f(follo)m(ws)g(a)g(geometric)
-h(distribution)244 4473 y(with)30 b(probabilit)m(y)h
-Fr(p)962 4487 y Fq(0)1031 4473 y Fs(of)g(success.)41
-b(This)29 b(giv)m(es)1707 4678 y Fr(\026)1762 4692 y
-Fq(0)1827 4678 y Fs(=)1953 4616 y(1)p 1933 4657 86 4
-v 1933 4740 a Fr(p)1979 4754 y Fq(0)2028 4678 y Fr(:)1302
-b Fs(\(20\))244 4894 y(Using)30 b(the)h(form)m(ula)g(from)e(\(19\))r(,)
-i(and)e(the)i(fact)g(that)2142 4853 y Fo(q)p 2141 4873
-36 4 v 2141 4925 a(p)2212 4894 y Fs(=)25 b(1,)31 b(w)m(e)g(no)m(w)f
-(see)h(that)1543 5125 y Fr(\026)1598 5139 y Fq(1)1663
-5125 y Fs(=)1769 5063 y(1)p 1769 5104 46 4 v 1769 5187
-a Fr(p)1845 5125 y Fs(+)1965 5063 y(1)p 1945 5104 86
-4 v 1945 5187 a Fr(p)1991 5201 y Fq(0)1543 5358 y Fr(\026)1598
-5372 y Fq(2)1663 5358 y Fs(=)1769 5296 y(1)p 1769 5337
-46 4 v 1769 5420 a Fr(p)1845 5358 y Fs(+)1946 5296 y(1)p
-1945 5337 V 1945 5420 a Fr(p)2021 5358 y Fs(+)2142 5296
-y(1)p 2122 5337 86 4 v 2122 5420 a Fr(p)2168 5434 y Fq(0)1637
-5531 y Fs(.)1637 5564 y(.)1637 5597 y(.)1555 5786 y Fr(\026)1610
-5800 y Fo(i)1663 5786 y Fs(=)1789 5724 y(1)p 1769 5765
-V 1769 5848 a Fr(p)1815 5862 y Fq(0)1884 5786 y Fs(+)1992
-5724 y Fr(i)p 1985 5765 46 4 v 1985 5848 a(p)3355 5458
-y Fs(\(21\))p Black 1856 6065 a Fm(3)p Black eop end
+TeXDict begin 3 2 bop Black Black -60 40 a Fp(w)m(e)34
+b(quic)m(kly)h(see)e(a)g(pattern,)g(and)f(write)i(a)e(general)h(form)m
+(ula)1378 294 y Fo(P)1441 309 y Fl(i)1491 294 y Fm(\000)23
+b Fo(P)1654 309 y Fl(i)p Fk(\000)p Fn(1)1799 294 y Fp(=)1903
+154 y Fi(\022)1987 227 y Fo(q)p 1986 272 49 4 v 1986
+363 a(p)2045 154 y Fi(\023)2119 176 y Fl(i)p Fk(\000)p
+Fn(1)2253 294 y Fo(P)2316 309 y Fn(1)2356 294 y Fo(:)1264
+b Fp(\(14\))-60 531 y(Summing)34 b(up)e(giv)m(es)878
+798 y Fo(P)941 813 y Fl(i)991 798 y Fm(\000)23 b Fo(P)1154
+813 y Fn(1)1221 798 y Fp(=)k Fo(P)1387 813 y Fn(1)1443
+627 y Fi(")1501 657 y(\022)1586 730 y Fo(q)p 1585 775
+V 1585 866 a(p)1644 657 y Fi(\023)1739 798 y Fp(+)1837
+657 y Fi(\022)1921 730 y Fo(q)p 1920 775 V 1920 866 a(p)1979
+657 y Fi(\023)2053 679 y Fn(2)2114 798 y Fp(+)22 b Fo(:)17
+b(:)g(:)22 b Fp(+)2447 657 y Fi(\022)2531 730 y Fo(q)p
+2530 775 V 2530 866 a(p)2589 657 y Fi(\023)2662 679 y
+Fl(i)p Fk(\000)p Fn(1)2781 627 y Fi(#)2856 798 y Fo(;)764
+b Fp(\(15\))-60 1065 y(whic)m(h)34 b(is)f(a)f(\014nite)i(geometric)f
+(series,)h(simplifying)h(to:)1312 1371 y Fo(P)1375 1386
+y Fl(i)1431 1371 y Fp(=)1534 1167 y Fi(8)1534 1256 y(<)1534
+1436 y(:)1633 1236 y Fn(1)p Fk(\000)1723 1244 y Fp(\()1772
+1206 y Fh(q)p 1771 1221 33 3 v 1771 1262 a(p)1813 1244
+y Fp(\))1851 1190 y Fh(i)p 1633 1280 245 4 v 1646 1350
+a Fn(1)p Fk(\000)1736 1358 y Fp(\()1785 1320 y Fh(q)p
+1784 1335 33 3 v 1784 1376 a(p)1826 1358 y Fp(\))1887
+1303 y Fo(P)1950 1318 y Fn(1)2087 1303 y Fp(if)2187 1259
+y Fl(q)p 2186 1280 36 4 v 2186 1337 a(p)2259 1303 y Fm(6)p
+Fp(=)28 b(1,)1623 1487 y Fo(iP)1719 1502 y Fn(1)2087
+1487 y Fp(if)2187 1443 y Fl(q)p 2186 1464 V 2186 1522
+a(p)2259 1487 y Fp(=)g(1.)3647 1371 y(\(16\))-60 1677
+y(Getting)35 b(to)f(state)i Fo(N)45 b Fp(from)35 b(state)g
+Fo(N)45 b Fp(has)36 b(probabilit)m(y)g Fo(P)2125 1692
+y Fl(N)2227 1677 y Fp(equal)f(to)g(one,)h(from)e(whic)m(h)j(w)m(e)f
+(can)f(\014nd)-60 1797 y(the)e(unkno)m(wn)h Fo(P)588
+1812 y Fn(1)628 1797 y Fp(,)1342 2039 y Fo(P)1405 2054
+y Fn(1)1472 2039 y Fp(=)1575 1835 y Fi(8)1575 1925 y(<)1575
+2104 y(:)1703 1892 y Fn(1)p Fk(\000)1793 1900 y Fp(\()1842
+1861 y Fh(q)p 1841 1876 33 3 v 1841 1918 a(p)1883 1900
+y Fp(\))p 1674 1935 276 4 v 1674 2019 a Fn(1)p Fk(\000)1764
+2027 y Fp(\()1813 1988 y Fh(q)p 1812 2004 33 3 v 1812
+2045 a(p)1854 2027 y Fp(\))1892 1973 y Fh(N)2057 1958
+y Fp(if)2157 1914 y Fl(q)p 2156 1935 36 4 v 2156 1993
+a(p)2230 1958 y Fm(6)p Fp(=)27 b(1,)1688 2117 y Fn(1)p
+1674 2133 64 4 v 1674 2190 a Fl(N)2057 2156 y Fp(if)2157
+2112 y Fl(q)p 2156 2133 36 4 v 2156 2190 a(p)2230 2156
+y Fp(=)g(1.)3647 2039 y(\(17\))-60 2325 y(Substituting)34
+b(this)f(in)m(to)g(\(16\))f(w)m(e)h(get)1195 2644 y Fo(P)1258
+2659 y Fl(i)1314 2644 y Fp(=)27 b Fo(P)1480 2659 y Fl(i;N)1619
+2644 y Fp(=)1722 2440 y Fi(8)1722 2529 y(<)1722 2709
+y(:)1836 2503 y Fn(1)p Fk(\000)1926 2511 y Fp(\()1975
+2472 y Fh(q)p 1974 2488 33 3 v 1974 2529 a(p)2016 2511
+y Fp(\))2054 2457 y Fh(i)p 1821 2546 276 4 v 1821 2630
+a Fn(1)p Fk(\000)1911 2638 y Fp(\()1960 2599 y Fh(q)p
+1959 2615 33 3 v 1959 2656 a(p)2001 2638 y Fp(\))2039
+2584 y Fh(N)2204 2569 y Fp(if)2304 2525 y Fl(q)p 2303
+2546 36 4 v 2303 2604 a(p)2376 2569 y Fm(6)p Fp(=)h(1,)1840
+2728 y Fl(i)p 1821 2744 64 4 v 1821 2801 a(N)2204 2767
+y Fp(if)2304 2723 y Fl(q)p 2303 2744 36 4 v 2303 2801
+a(p)2376 2767 y Fp(=)g(1.)3647 2644 y(\(18\))-60 2957
+y(This)k(is)g(the)g(probabilit)m(y)g(of)e(ending)i(up)g(in)f(state)h
+Fo(N)41 b Fp(when)32 b(starting)g(in)f(state)h Fo(i)p
+Fp(.)43 b(Since)32 b(all)f(the)h(states)-60 3077 y(other)45
+b(than)g(state)h(0)f(and)g Fo(N)56 b Fp(are)45 b(transien)m(t,)k(the)d
+(probabilit)m(y)g(of)f(ending)g(up)h(in)f(state)h(0)f(will)g(b)s(e)-60
+3198 y Fo(P)3 3213 y Fl(i;)p Fn(0)114 3198 y Fp(=)27
+b(1)22 b Fm(\000)h Fo(P)451 3213 y Fl(i;N)561 3198 y
+Fp(.)-60 3481 y Fq(b\))-60 3666 y Fp(Let)34 b Fo(\026)175
+3681 y Fl(i)238 3666 y Fp(b)s(e)g(the)h(exp)s(ected)h(time)f(used)g(to)
+f(go)g(from)g(state)h Fo(i)f Fp(to)g(state)h Fo(i)24
+b Fp(+)f(1.)48 b(By)35 b(conditioning)g(on)f(the)-60
+3787 y(outcome)f(of)f(the)h(next)h(jump,)f(w)m(e)g(get)1053
+3964 y Fo(\026)1112 3979 y Fl(i)1167 3964 y Fp(=)28 b
+Fo(p)22 b Fp(+)g Fo(q)t Fp(\(1)f(+)h Fo(\026)1752 3979
+y Fl(i)p Fk(\000)p Fn(1)1893 3964 y Fp(+)g Fo(\026)2050
+3979 y Fl(i)2077 3964 y Fp(\))33 b(for)f(0)27 b Fo(<)h(i)g(<)f(N)10
+b Fp(,)1004 4164 y Fo(p\026)1112 4179 y Fl(i)1167 4164
+y Fp(=)1281 4097 y(1)p 1281 4142 49 4 v 1281 4233 a Fo(p)1362
+4164 y Fp(+)1471 4097 y Fo(q)p 1470 4142 V 1470 4233
+a(p)1529 4164 y(\026)1588 4179 y Fl(i)p Fk(\000)p Fn(1)1706
+4164 y Fo(:)3647 4091 y Fp(\(19\))-60 4395 y(When)33
+b(the)f(Mark)m(o)m(v)h(c)m(hain)g(is)g(in)f(state)g(0,)g(going)f(to)h
+(state)g(1)g(follo)m(ws)h(a)e(geometric)i(distribution)g(with)-60
+4515 y(probabilit)m(y)h Fo(p)488 4530 y Fn(0)559 4515
+y Fp(of)f(success.)46 b(This)33 b(giv)m(es)1698 4674
+y Fo(\026)1757 4689 y Fn(0)1824 4674 y Fp(=)1957 4607
+y(1)p 1937 4651 89 4 v 1937 4743 a Fo(p)1986 4758 y Fn(0)2036
+4674 y Fo(:)1584 b Fp(\(20\))-60 4884 y(Using)33 b(the)g(form)m(ula)g
+(from)f(\(19\),)g(and)h(the)g(fact)f(that)1975 4840 y
+Fl(q)p 1975 4861 36 4 v 1975 4919 a(p)2048 4884 y Fp(=)27
+b(1,)33 b(w)m(e)g(no)m(w)h(see)f(that)1522 5136 y Fo(\026)1581
+5151 y Fn(1)1648 5136 y Fp(=)1762 5069 y(1)p 1762 5114
+49 4 v 1762 5205 a Fo(p)1843 5136 y Fp(+)1971 5069 y(1)p
+1951 5114 89 4 v 1951 5205 a Fo(p)2000 5220 y Fn(0)1522
+5389 y Fo(\026)1581 5404 y Fn(2)1648 5389 y Fp(=)1762
+5322 y(1)p 1762 5366 49 4 v 1762 5457 a Fo(p)1843 5389
+y Fp(+)1951 5322 y(1)p 1951 5366 V 1951 5457 a Fo(p)2032
+5389 y Fp(+)2160 5322 y(1)p 2140 5366 89 4 v 2140 5457
+a Fo(p)2189 5472 y Fn(0)1621 5569 y Fp(.)1621 5603 y(.)1621
+5636 y(.)1534 5838 y Fo(\026)1593 5853 y Fl(i)1648 5838
+y Fp(=)1782 5770 y(1)p 1762 5815 V 1762 5906 a Fo(p)1811
+5921 y Fn(0)1882 5838 y Fp(+)1998 5770 y Fo(i)p 1990
+5815 49 4 v 1990 5906 a(p)3647 5491 y Fp(\(21\))p Black
+1856 6125 a(3)p Black eop end

 %%Page: 4 4
 %%Page: 4 4

-TeXDict begin 4 3 bop Black Black 244 100 a Fs(The)30
-b(exp)s(ected)h(time)g(of)f(going)i(from)d(state)j(i)f(to)g(state)h(n)d
-(is)i(then)f(giv)m(en)h(b)m(y)1156 382 y Fr(E)20 b Fs(\()p
-Fr(N)1351 396 y Fo(i;n)1442 382 y Fs(\))26 b(=)1599 269
-y Fo(n)p Fn(\000)p Fq(1)1599 296 y Fl(X)1610 492 y Fo(j)t
-Fq(=)p Fo(i)1747 382 y Fr(\026)1802 396 y Fo(j)1503 712
-y Fs(=)1599 599 y Fo(n)p Fn(\000)p Fq(1)1599 626 y Fl(X)1610
-821 y Fo(j)t Fq(=)p Fo(i)1747 584 y Fl(\022)1844 651
-y Fs(1)p 1824 691 86 4 v 1824 775 a Fr(p)1870 789 y Fq(0)1939
-712 y Fs(+)2041 651 y Fr(j)p 2040 691 46 4 v 2040 775
-a(p)2096 584 y Fl(\023)1503 1008 y Fs(=)f(\()p Fr(n)20
-b Fp(\000)g Fr(i)p Fs(\))1881 880 y Fl(\022)1978 947
-y Fs(1)p 1958 987 86 4 v 1958 1071 a Fr(p)2004 1085 y
-Fq(0)2074 1008 y Fs(+)2175 947 y Fr(i)g Fs(+)g Fr(n)g
-Fp(\000)g Fs(1)p 2175 987 354 4 v 2306 1071 a(2)p Fr(p)2538
-880 y Fl(\023)3355 679 y Fs(\(22\))244 1263 y(This)29
-b(giv)m(es)j Fr(E)5 b Fs(\()p Fr(N)854 1277 y Fq(25)p
-Fo(;)p Fq(100)1055 1263 y Fs(\))26 b(=)f(9450,)32 b Fr(E)5
-b Fs(\()p Fr(N)1629 1277 y Fq(50)p Fo(;)p Fq(100)1830
-1263 y Fs(\))26 b(=)f(7550)32 b(and)d Fr(E)5 b Fs(\()p
-Fr(N)2555 1277 y Fq(75)p Fo(;)p Fq(100)2756 1263 y Fs(\))26
-b(=)f(4400.)244 1539 y Ft(c\))244 1711 y Fs(The)35 b(probabilit)m(y)h
-(of)f(ending)g(up)g(in)g(state)i(100,)h(giv)m(en)e(a)g(start)g(in)f
-(state)i Fr(i)f Fs(w)m(as)g(calculated)244 1824 y(in)28
-b(sub-problem)f Fg(a\))33 b Fs(starting)c(from)f(equation)i(\(10\))q(.)
-40 b(In)28 b(this)h(sub-problem)e(it)i(is)g(giv)m(en)g(that)244
-1937 y Fr(p)c Fs(=)g Fr(q)j Fs(=)e(0)p Fr(:)p Fs(5,)32
-b(so)e(equation)i(\(18\))g(simpli\014es)e(to)h Fr(P)1988
-1951 y Fo(i)2042 1937 y Fs(=)2138 1918 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2138 1918 a
-Fo(i)2138 1918 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2138 1918 a Black 2152 1937 a Fr(=)p
-Black 2192 1937 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2192 1937 a Fo(N)2192 1937 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2192 1937
-a 63 w Fs(.)41 b(F)-8 b(or)32 b(the)e(starting)i(p)s(oin)m(ts)e(25,)i
-(50,)244 2050 y(75)f(w)m(e)g(get)650 2031 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 650 2031
-a Fq(1)650 2031 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 650 2031 a Black 676 2050 a Fr(=)p
-Black 716 2050 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 716 2050 a Fq(4)716 2050 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 716 2050
-a 35 w Fs(,)807 2031 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 807 2031 a Fq(1)807 2031 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 807
-2031 a Black 832 2050 a Fr(=)p Black 872 2050 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 872 2050
-a Fq(2)872 2050 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 872 2050 a 66 w Fs(and)1115 2031 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
-
-1115 2031 a Fq(3)1115 2031 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1115 2031 a Black 1140 2050
-a Fr(=)p Black 1180 2050 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1180 2050 a Fq(4)1180 2050
+TeXDict begin 4 3 bop Black Black -60 40 a Fp(The)34
+b(exp)s(ected)g(time)f(of)f(going)g(from)h(state)g(i)f(to)h(state)g(n)f
+(is)h(then)h(giv)m(en)f(b)m(y)1104 344 y Fo(E)22 b Fp(\()p
+Fo(N)1314 359 y Fl(i;n)1405 344 y Fp(\))27 b(=)1579 220
+y Fl(n)p Fk(\000)p Fn(1)1574 250 y Fi(X)1590 460 y Fl(j)t
+Fn(=)p Fl(i)1735 344 y Fo(\026)1794 359 y Fl(j)1470 693
+y Fp(=)1579 568 y Fl(n)p Fk(\000)p Fn(1)1574 598 y Fi(X)1590
+808 y Fl(j)t Fn(=)p Fl(i)1735 552 y Fi(\022)1838 626
+y Fp(1)p 1818 670 89 4 v 1818 761 a Fo(p)1867 776 y Fn(0)1938
+693 y Fp(+)2048 626 y Fo(j)p 2046 670 49 4 v 2046 761
+a(p)2105 552 y Fi(\023)1470 1009 y Fp(=)h(\()p Fo(n)22
+b Fm(\000)h Fo(i)p Fp(\))1880 868 y Fi(\022)1983 941
+y Fp(1)p 1963 986 89 4 v 1963 1077 a Fo(p)2012 1092 y
+Fn(0)2084 1009 y Fp(+)2192 941 y Fo(i)f Fp(+)g Fo(n)g
+Fm(\000)h Fp(1)p 2192 986 383 4 v 2334 1077 a(2)p Fo(p)2584
+868 y Fi(\023)3647 661 y Fp(\(22\))-60 1286 y(This)34
+b(giv)m(es)g Fo(E)6 b Fp(\()p Fo(N)596 1301 y Fn(25)p
+Fl(;)p Fn(100)796 1286 y Fp(\))28 b(=)f(9450,)32 b Fo(E)6
+b Fp(\()p Fo(N)1414 1301 y Fn(50)p Fl(;)p Fn(100)1614
+1286 y Fp(\))28 b(=)f(7550)32 b(and)h Fo(E)6 b Fp(\()p
+Fo(N)2395 1301 y Fn(75)p Fl(;)p Fn(100)2595 1286 y Fp(\))28
+b(=)f(4400.)-60 1575 y Fq(c\))-60 1760 y Fp(The)41 b(probabilit)m(y)g
+(of)e(ending)i(up)f(in)g(state)h(100,)g(giv)m(en)g(a)f(start)g(in)g
+(state)g Fo(i)g Fp(w)m(as)h(calculated)g(in)f(sub-)-60
+1880 y(problem)32 b Fe(a\))i Fp(starting)d(from)f(equation)i(\(10\))o
+(.)43 b(In)31 b(this)h(sub-problem)g(it)e(is)i(giv)m(en)g(that)e
+Fo(p)e Fp(=)f Fo(q)32 b Fp(=)c(0)p Fo(:)p Fp(5,)i(so)-60
+2000 y(equation)i(\(18\))f(simpli\014es)i(to)e Fo(P)1145
+2015 y Fl(i)1201 2000 y Fp(=)1305 1975 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1305 1975 a
+Fl(i)1305 1975 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1305 1975 a 1323 2000 a Fo(=)1361 2000
+y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1361 2000 a Fl(N)1361 2000 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1361 2000 a 63 w Fp(.)43
+b(F)-8 b(or)31 b(the)g(starting)h(p)s(oin)m(ts)g(25,)f(50,)g(75)g(w)m
+(e)i(get)3234 1975 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 3234 1975 a Fn(1)3234 1975 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 3234
+1975 a 3264 2000 a Fo(=)3301 2000 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 3301 2000 a Fn(4)3301
+2000 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 3301 2000 a 36 w Fp(,)3395 1975 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 3395 1975 a
+Fn(1)3395 1975 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 3395 1975 a 3425 2000 a Fo(=)3463 2000

 y
 y

- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1180 2050 a 66 w Fs(for)f Fr(P)1443 2064 y Fo(i)1502
-2050 y Fs(resp)s(ectiv)m(ely)-8 b(.)244 2326 y Ft(d\))244
-2498 y Fs(The)37 b(follo)m(wing)h(Python)f(co)s(de)h(will)f(sim)m
-(ulate)i(the)e(Mark)m(o)m(v)i(c)m(hain)f(to)g(v)m(erify)f(the)h(answ)m
-(ers)244 2611 y(giv)m(en)31 b(in)f(sub-problem)f Fg(b\))34
-b Fs(and)c Fg(c\))p Fs(.)246 2739 y Ff(i)r(m)r(p)r(o)r(r)r(t)41
-b Fq(numpy)49 b(a)7 b(s)51 b(n)r(p)246 2818 y Ff(i)r(m)r(p)r(o)r(r)r(t)
-44 b Fq(r)s(a)s(n)s(d)s(o)s(m)249 2976 y Ff(d)5 b(e)g(f)56
-b Fq(r)9 b(u)g(n)p 557 2976 22 4 v 41 w(c)g(h)g(a)g(i)g(n)15
-b(\()i(s)9 b(t)g(a)g(r)g(t)33 b(,)57 b(e)s(n)s(d)19 b(,)59
-b(r)5 b(0)23 b(,)54 b(p)14 b(,)56 b(q)10 b(\))19 b(:)422
-3055 y(c)9 b(u)g(r)g(r)g(e)g(n)g(t)47 b(=)g(s)11 b(t)g(a)g(r)g(t)421
-3213 y(r)43 b(=)38 b(r)s(a)s(n)s(d)s(o)s(m)13 b(.)g(S)r(y)r(s)r(t)r(e)r
-(m)r(R)r(a)r(n)r(d)r(o)r(m)h(\()c(\))423 3291 y(s)g(t)g(e)g(p)g(s)45
-b(=)40 b(0)417 3370 y Ff(w)t(h)t(i)t(l)t(e)51 b Fq(T)t(r)t(u)t(e)16
-b(:)588 3449 y(r)6 b(a)g(n)g(d)41 b(=)i(r)19 b(.)13 b(r)s(a)s(n)s(d)s
-(o)s(m)f(\()e(\))595 3607 y Ff(i)i(f)64 b Fq(c)9 b(u)g(r)g(r)g(e)g(n)g
-(t)44 b(=)-8 b(=)38 b(e)t(n)t(d)17 b(:)754 3686 y Ff(b)r(r)r(e)r(a)r(k)
-595 3844 y(i)12 b(f)64 b Fq(c)9 b(u)g(r)g(r)g(e)g(n)g(t)44
-b(=)-8 b(=)37 b(0)45 b Ff(a)o(n)o(d)k Fq(a)6 b(b)g(s)14
-b(\()h(r)7 b(0)41 b Fn(\000)49 b Fq(1)10 b(.)g(0)g(\))46
-b Fo(<)h Fq(0)9 b(.)g(0)g(0)g(0)g(0)g(0)g(1)g(:)754 3922
-y Ff(b)r(r)r(e)r(a)r(k)595 4001 y(i)j(f)64 b Fq(c)9 b(u)g(r)g(r)g(e)g
-(n)g(t)44 b(=)-8 b(=)37 b(0)45 b Ff(a)o(n)o(d)j Fq(r)6
-b(a)g(n)g(d)39 b Fo(>)45 b Fq(r)7 b(0)19 b(:)761 4080
-y(c)9 b(u)g(r)g(r)g(e)g(n)g(t)44 b(+)-8 b(=)37 b(1)595
-4159 y Ff(e)13 b(l)f(i)g(f)63 b Fq(c)9 b(u)g(r)g(r)g(e)g(n)g(t)45
-b(=)-8 b(=)43 b(0)10 b(:)761 4238 y(c)f(u)g(r)g(r)g(e)g(n)g(t)46
-b(=)g(c)9 b(u)g(r)g(r)g(e)g(n)g(t)595 4317 y Ff(e)k(l)f(i)g(f)63
-b Fq(c)9 b(u)g(r)g(r)g(e)g(n)g(t)56 b(!)s(=)50 b(0)45
-b Ff(a)o(n)o(d)j Fq(r)6 b(a)g(n)g(d)38 b Fo(<)i Fq(p)13
-b(:)761 4396 y(c)c(u)g(r)g(r)g(e)g(n)g(t)44 b(+)-8 b(=)37
-b(1)595 4475 y Ff(e)13 b(l)f(i)g(f)63 b Fq(c)9 b(u)g(r)g(r)g(e)g(n)g(t)
-56 b(!)s(=)50 b(0)45 b Ff(a)o(n)o(d)j Fq(r)6 b(a)g(n)g(d)38
-b Fo(<)48 b Fq(1)9 b(.)g(0)44 b Fn(\000)c Fq(q)14 b(:)761
-4553 y(c)9 b(u)g(r)g(r)g(e)g(n)g(t)46 b(=)g(c)9 b(u)g(r)g(r)g(e)g(n)g
-(t)595 4632 y Ff(e)k(l)f(i)g(f)63 b Fq(c)9 b(u)g(r)g(r)g(e)g(n)g(t)56
-b(!)s(=)g(0)10 b(:)761 4711 y(c)f(u)g(r)g(r)g(e)g(n)g(t)40
-b Fn(\000)-6 b Fq(=)39 b(1)592 4869 y(s)10 b(t)g(e)g(p)g(s)43
-b(+)-8 b(=)37 b(1)417 5027 y Ff(r)t(e)t(t)t(u)t(r)t(n)53
-b Fq(\()16 b(c)8 b(u)g(r)g(r)g(e)g(n)g(t)29 b(,)63 b(s)10
-b(t)g(e)g(p)g(s)16 b(\))249 5184 y Ff(d)5 b(e)g(f)51
-b Fq(m)s(a)s(i)s(n)14 b(\()c(\))22 b(:)420 5263 y(r)7
-b(u)g(n)g(s)44 b(=)d(5)6 b(0)g(0)g(0)418 5421 y(e)t(n)t(d)41
-b(=)g Fn(f)5 b(g)423 5500 y Fq(s)10 b(t)g(e)g(p)g(s)45
-b(=)c Fn(f)5 b(g)420 5579 y Ff(f)i(o)g(r)60 b Fq(s)11
-b(t)g(a)g(r)g(t)59 b Ff(i)6 b(n)58 b Fq([)10 b(2)g(5)20
-b(,)59 b(5)7 b(0)15 b(,)62 b(7)12 b(5)g(])g(:)592 5658
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 3463 2000 a Fn(2)3463 2000 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 3463 2000 a 66 w Fp(and)3718
+1975 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 3718 1975 a Fn(3)3718 1975 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 3718 1975 a 3748
+2000 a Fo(=)3785 2000 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 3785 2000 a Fn(4)3785 2000 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+
+3785 2000 a -60 2121 a Fp(for)f Fo(P)152 2136 y Fl(i)213
+2121 y Fp(resp)s(ectiv)m(ely)-8 b(.)-60 2410 y Fq(d\))-60
+2594 y Fp(The)40 b(follo)m(wing)f(Python)h(co)s(de)f(will)h(sim)m
+(ulate)g(the)g(Mark)m(o)m(v)g(c)m(hain)g(to)f(v)m(erify)h(the)f(answ)m
+(ers)i(giv)m(en)f(in)-60 2715 y(sub-problem)34 b Fe(b\))i
+Fp(and)c Fe(c\))p Fp(.)-58 2853 y Fd(i)r(m)r(p)r(o)r(r)r(t)41
+b Fn(numpy)49 b(a)7 b(s)52 b(n)r(p)-58 2932 y Fd(i)r(m)r(p)r(o)r(r)r(t)
+44 b Fn(r)s(a)s(n)s(d)s(o)s(m)-55 3090 y Fd(d)5 b(e)g(f)56
+b Fn(r)9 b(u)g(n)p 254 3090 22 4 v 41 w(c)g(h)g(a)g(i)g(n)15
+b(\()i(s)9 b(t)g(a)g(r)g(t)33 b(,)57 b(e)s(n)s(d)20 b(,)58
+b(r)5 b(0)23 b(,)54 b(p)14 b(,)56 b(q)10 b(\))19 b(:)118
+3168 y(c)9 b(u)g(r)g(r)g(e)g(n)g(t)47 b(=)g(s)11 b(t)g(a)g(r)g(t)117
+3326 y(r)43 b(=)38 b(r)s(a)s(n)s(d)s(o)s(m)13 b(.)h(r)s(a)s(n)s(d)s(o)s
+(m)d(\()f(\))119 3405 y(s)g(t)g(e)g(p)g(s)45 b(=)40 b(0)114
+3484 y Fd(w)t(h)t(i)t(l)t(e)50 b Fn(T)t(r)t(u)t(e)16
+b(:)284 3563 y(r)6 b(a)g(n)g(d)41 b(=)j(r)18 b(.)13 b(r)s(a)s(n)s(d)s
+(o)s(m)f(\()e(\))291 3721 y Fd(i)i(f)64 b Fn(c)9 b(u)g(r)g(r)g(e)g(n)g
+(t)44 b(=)-8 b(=)38 b(e)t(n)t(d)17 b(:)450 3799 y Fd(b)r(r)r(e)r(a)r(k)
+291 3957 y(i)12 b(f)64 b Fn(c)9 b(u)g(r)g(r)g(e)g(n)g(t)44
+b(=)-8 b(=)37 b(0)45 b Fd(a)o(n)o(d)k Fn(a)6 b(b)g(s)14
+b(\()h(r)7 b(0)42 b Fk(\000)48 b Fn(1)10 b(.)g(0)g(\))46
+b Fl(<)i Fn(0)9 b(.)g(0)g(0)g(0)g(0)g(0)g(1)g(:)450 4036
+y Fd(b)r(r)r(e)r(a)r(k)291 4115 y(i)j(f)64 b Fn(c)9 b(u)g(r)g(r)g(e)g
+(n)g(t)44 b(=)-8 b(=)37 b(0)45 b Fd(a)o(n)o(d)j Fn(r)6
+b(a)g(n)g(d)39 b Fl(>)45 b Fn(r)7 b(0)19 b(:)457 4194
+y(c)9 b(u)g(r)g(r)g(e)g(n)g(t)44 b(+)-8 b(=)37 b(1)291
+4273 y Fd(e)13 b(l)f(i)g(f)64 b Fn(c)9 b(u)g(r)g(r)g(e)g(n)g(t)44
+b(=)-8 b(=)43 b(0)10 b(:)457 4352 y(c)f(u)g(r)g(r)g(e)g(n)g(t)47
+b(=)e(c)9 b(u)g(r)g(r)g(e)g(n)g(t)291 4430 y Fd(e)k(l)f(i)g(f)64
+b Fn(c)9 b(u)g(r)g(r)g(e)g(n)g(t)56 b(!)s(=)49 b(0)c
+Fd(a)o(n)o(d)j Fn(r)6 b(a)g(n)g(d)39 b Fl(<)g Fn(p)13
+b(:)457 4509 y(c)c(u)g(r)g(r)g(e)g(n)g(t)44 b(+)-8 b(=)37
+b(1)291 4588 y Fd(e)13 b(l)f(i)g(f)64 b Fn(c)9 b(u)g(r)g(r)g(e)g(n)g(t)
+56 b(!)s(=)49 b(0)c Fd(a)o(n)o(d)j Fn(r)6 b(a)g(n)g(d)39
+b Fl(<)47 b Fn(1)9 b(.)g(0)44 b Fk(\000)c Fn(q)14 b(:)457
+4667 y(c)9 b(u)g(r)g(r)g(e)g(n)g(t)47 b(=)e(c)9 b(u)g(r)g(r)g(e)g(n)g
+(t)291 4746 y Fd(e)k(l)f(i)g(f)64 b Fn(c)9 b(u)g(r)g(r)g(e)g(n)g(t)56
+b(!)s(=)f(0)10 b(:)457 4825 y(c)f(u)g(r)g(r)g(e)g(n)g(t)40
+b Fk(\000)-6 b Fn(=)39 b(1)288 4982 y(s)10 b(t)g(e)g(p)g(s)43
+b(+)-8 b(=)37 b(1)113 5140 y Fd(r)t(e)t(t)t(u)t(r)t(n)53
+b Fn(\()16 b(c)8 b(u)g(r)g(r)g(e)g(n)g(t)29 b(,)63 b(s)10
+b(t)g(e)g(p)g(s)16 b(\))-55 5298 y Fd(d)5 b(e)g(f)51
+b Fn(m)s(a)s(i)s(n)14 b(\()c(\))22 b(:)116 5377 y(r)7
+b(u)g(n)g(s)44 b(=)d(5)6 b(0)g(0)g(0)114 5535 y(e)t(n)t(d)41
+b(=)g Fk(f)5 b(g)119 5613 y Fn(s)10 b(t)g(e)g(p)g(s)45
+b(=)c Fk(f)5 b(g)116 5692 y Fd(f)i(o)g(r)60 b Fn(s)11
+b(t)g(a)g(r)g(t)59 b Fd(i)6 b(n)58 b Fn([)10 b(2)g(5)20
+b(,)59 b(5)7 b(0)16 b(,)61 b(7)12 b(5)g(])g(:)288 5771

 y(s)e(t)g(e)g(p)g(s)21 b([)h(s)11 b(t)g(a)g(r)g(t)23
 y(s)e(t)g(e)g(p)g(s)21 b([)h(s)11 b(t)g(a)g(r)g(t)23

-b(])47 b(=)k([)15 b(])587 5736 y(e)t(n)t(d)i([)22 b(s)11
-b(t)g(a)g(r)g(t)23 b(])47 b(=)k([)15 b(])590 5815 y Ff(f)7
-b(o)g(r)59 b Fq(i)g Ff(i)6 b(n)55 b Fq(x)7 b(r)g(a)g(n)g(g)g(e)14
-b(\()h(r)7 b(u)g(n)g(s)15 b(\))k(:)p Black 1856 6065
-a Fm(4)p Black eop end
+b(])47 b(=)k([)15 b(])283 5850 y(e)t(n)t(d)i([)22 b(s)11
+b(t)g(a)g(r)g(t)23 b(])47 b(=)k([)15 b(])p Black 1856
+6125 a Fp(4)p Black eop end

 %%Page: 5 5
 %%Page: 5 5

-TeXDict begin 5 4 bop Black Black 744 100 a Fe(#)41 b(o)7
-b(p)g(p)g(g)g(a)g(v)g(e)52 b(b)756 178 y Fq(e)19 b(,)60
-b(s)43 b(=)i(r)9 b(u)g(n)p 1193 178 22 4 v 41 w(c)g(h)g(a)g(i)g(n)15
-b(\()i(s)9 b(t)g(a)g(r)g(t)33 b(,)61 b(1)7 b(0)g(0)16
-b(,)59 b(0)10 b(.)g(5)20 b(,)62 b(0)10 b(.)g(5)19 b(,)63
-b(0)10 b(.)g(5)g(\))762 257 y(s)g(t)g(e)g(p)g(s)20 b([)i(s)11
-b(t)g(a)g(r)g(t)27 b(])15 b(.)k(a)t(p)t(p)t(e)t(n)t(d)c(\()g(s)g(\))744
-336 y Fe(#)41 b(o)7 b(p)g(p)g(g)g(a)g(v)g(e)52 b(c)756
-415 y Fq(e)19 b(,)60 b(s)43 b(=)i(r)9 b(u)g(n)p 1193
-415 V 41 w(c)g(h)g(a)g(i)g(n)15 b(\()i(s)9 b(t)g(a)g(r)g(t)33
+TeXDict begin 5 4 bop Black Black 286 40 a Fd(f)7 b(o)g(r)59
+b Fn(i)g Fd(i)6 b(n)55 b Fn(x)7 b(r)g(a)g(n)g(g)g(e)14
+b(\()h(r)7 b(u)g(n)g(s)15 b(\))k(:)440 118 y Fc(#)41
+b(o)7 b(p)g(p)g(g)g(a)g(v)g(e)52 b(b)452 197 y Fn(e)19
+b(,)60 b(s)44 b(=)g(r)9 b(u)g(n)p 889 197 22 4 v 41 w(c)g(h)g(a)g(i)g
+(n)15 b(\()i(s)9 b(t)g(a)g(r)g(t)33 b(,)61 b(1)7 b(0)g(0)16
+b(,)59 b(0)10 b(.)g(5)20 b(,)62 b(0)10 b(.)g(5)20 b(,)62
+b(0)10 b(.)g(5)g(\))458 276 y(s)g(t)g(e)g(p)g(s)20 b([)i(s)11
+b(t)g(a)g(r)g(t)27 b(])15 b(.)k(a)t(p)t(p)t(e)t(n)t(d)c(\()g(s)g(\))440
+355 y Fc(#)41 b(o)7 b(p)g(p)g(g)g(a)g(v)g(e)52 b(c)452
+434 y Fn(e)19 b(,)60 b(s)44 b(=)g(r)9 b(u)g(n)p 889 434
+V 41 w(c)g(h)g(a)g(i)g(n)15 b(\()i(s)9 b(t)g(a)g(r)g(t)33

 b(,)61 b(1)7 b(0)g(0)16 b(,)56 b(1)16 b(,)59 b(0)10 b(.)g(5)20
 b(,)61 b(1)7 b(0)g(0)16 b(,)56 b(1)16 b(,)59 b(0)10 b(.)g(5)20

-b(,)62 b(0)10 b(.)g(5)g(\))756 494 y(e)t(n)t(d)17 b([)22
-b(s)11 b(t)g(a)g(r)g(t)27 b(])15 b(.)k(a)t(p)t(p)t(e)t(n)t(d)c(\()f(e)f
-(\))593 652 y(s)e(u)g(c)g(c)g(e)g(s)g(s)g(e)g(s)86 b(=)36
-b(sum)12 b(\()g([)f(1)60 b Ff(f)7 b(o)g(r)51 b Fq(x)g
-Ff(i)6 b(n)52 b Fq(e)t(n)t(d)17 b([)22 b(s)11 b(t)g(a)g(r)g(t)23
-b(])66 b Ff(i)12 b(f)57 b Fq(x)37 b(=)-8 b(=)43 b(1)10
-b(0)g(0)g(])g(\))587 731 y(m)t(e)t(a)t(n)p 772 731 V
-36 w(e)t(n)t(d)126 b(=)48 b(f)12 b(l)f(o)i(a)f(t)20 b(\()f(s)11
+b(,)62 b(0)10 b(.)g(5)g(\))452 513 y(e)t(n)t(d)17 b([)23
+b(s)11 b(t)g(a)g(r)g(t)26 b(])15 b(.)k(a)t(p)t(p)t(e)t(n)t(d)c(\()f(e)f
+(\))289 671 y(s)e(u)g(c)g(c)g(e)g(s)g(s)g(e)g(s)86 b(=)36
+b(sum)12 b(\()g([)f(1)61 b Fd(f)7 b(o)g(r)50 b Fn(x)h
+Fd(i)6 b(n)52 b Fn(e)t(n)t(d)17 b([)22 b(s)11 b(t)g(a)g(r)g(t)23
+b(])66 b Fd(i)12 b(f)57 b Fn(x)37 b(=)-8 b(=)43 b(1)10
+b(0)g(0)g(])g(\))283 749 y(m)t(e)t(a)t(n)p 468 749 V
+36 w(e)t(n)t(d)126 b(=)48 b(f)12 b(l)g(o)g(a)g(t)20 b(\()f(s)11

 b(u)g(c)g(c)g(e)g(s)g(s)g(e)g(s)k(\))c(/)16 b(f)c(l)f(o)i(a)f(t)20
 b(u)g(c)g(c)g(e)g(s)g(s)g(e)g(s)k(\))c(/)16 b(f)c(l)f(o)i(a)f(t)20

-b(\()15 b(r)7 b(u)g(n)g(s)15 b(\))590 809 y(m)7 b(e)g(a)g(n)p
-788 809 V 41 w(s)g(t)g(e)g(p)g(s)45 b(=)38 b(n)r(p)14
-b(.)e(m)q(e)q(a)q(n)d(\()17 b(s)10 b(t)g(e)g(p)g(s)21
-b([)h(s)11 b(t)g(a)g(r)g(t)24 b(])12 b(\))592 967 y(r)d(u)g(n)g(s)p
-767 967 V 45 w(g)g(t)g(e)p 924 967 V 46 w(1)g(0)g(0)g(0)89
-b(=)37 b(sum)12 b(\()f([)g(1)61 b Ff(f)7 b(o)g(r)51 b
-Fq(x)g Ff(i)6 b(n)57 b Fq(s)10 b(t)g(e)g(p)g(s)20 b([)i(s)11
-b(t)g(a)g(r)g(t)23 b(])66 b Ff(i)12 b(f)57 b Fq(x)33
-b Fo(>)-6 b Fq(=)44 b(1)9 b(0)g(0)g(0)g(])g(\))593 1046
-y(r)i(a)g(t)g(i)g(o)p 797 1046 V 47 w(g)g(t)g(e)p 959
-1046 V 47 w(1)g(0)g(0)g(0)47 b(=)i(f)11 b(l)h(o)g(a)h(t)20
-b(\()d(r)9 b(u)g(n)g(s)p 1741 1046 V 45 w(g)g(t)g(e)p
-1898 1046 V 45 w(1)g(0)g(0)g(0)19 b(\))12 b(/)k(f)11
-b(l)h(o)g(a)h(t)20 b(\()15 b(r)7 b(u)g(n)g(s)14 b(\))592
-1204 y(S)p 646 1204 V 46 w(s)c(t)g(e)g(p)g(s)45 b(=)36
-b(sum)9 b(\()14 b(a)6 b(b)g(s)14 b(\()c(x)37 b Fn(\000)45
-b Fq(m)7 b(e)g(a)g(n)p 1719 1204 V 42 w(s)g(t)g(e)g(p)g(s)16
-b(\))d Fd(*)5 b(*)g Fq(2)56 b Ff(f)7 b(o)g(r)51 b Fq(x)g
-Ff(i)6 b(n)57 b Fq(s)10 b(t)g(e)g(p)g(s)20 b([)i(s)11
-b(t)g(a)g(r)g(t)25 b(])12 b(\))59 b(/)53 b(\()15 b(r)7
-b(u)g(n)g(s)42 b Fn(\000)798 1283 y Fq(1)7 b(\))588 1440
-y Ff(p)f(r)g(i)g(n)g(t)49 b Fq(")13 b(S)c(t)g(a)g(r)g(t)62
-b(i)9 b(n)42 b(\045)-8 b(d)14 b(,)61 b(r)7 b(0)43 b(=)h(1)15
-b(,)53 b(\045)s(.)s(4)14 b(f)59 b(r)7 b(u)g(n)g(s)58
-b(g)8 b(e)g(t)59 b(t)7 b(o)56 b(1)5 b(0)g(0)11 b(")37
-b(\045)42 b(\()17 b(s)9 b(t)g(a)g(r)g(t)33 b(,)760 1519
-y(r)11 b(a)g(t)g(i)g(o)p 964 1519 V 47 w(t)g(o)p 1086
-1519 V 49 w(1)g(0)g(0)19 b(\))588 1598 y Ff(p)6 b(r)g(i)g(n)g(t)49
-b Fq(")13 b(S)c(t)g(a)g(r)g(t)62 b(i)9 b(n)42 b(\045)-8
-b(d)14 b(,)61 b(r)7 b(0)43 b(=)j(0)10 b(.)g(5)20 b(,)55
-b(\045)s(.)s(4)14 b(f)62 b(s)10 b(t)g(e)g(p)g(s)59 b(t)7
-b(o)59 b(g)8 b(e)g(t)59 b(t)7 b(o)56 b(1)5 b(0)g(0)11
-b(")38 b(\045)j(\()17 b(s)9 b(t)g(a)g(r)g(t)33 b(,)55
-b(n)r(p)14 b(.)750 1677 y(m)q(e)q(a)q(n)8 b(\()18 b(s)10
-b(t)g(e)g(p)g(s)20 b([)i(s)11 b(t)g(a)g(r)g(t)25 b(])12
-b(\))20 b(\))588 1756 y Ff(p)6 b(r)g(i)g(n)g(t)49 b Fq(")13
-b(S)c(t)g(a)g(r)g(t)62 b(i)9 b(n)42 b(\045)-8 b(d)14
-b(,)61 b(r)7 b(0)43 b(=)j(0)10 b(.)g(5)20 b(,)55 b(\045)s(.)s(4)14
-b(f)60 b(r)7 b(u)g(n)g(s)58 b(g)8 b(e)g(t)59 b(t)7 b(o)56
-b(1)5 b(0)g(0)58 b(i)9 b(n)56 b(1)6 b(0)g(0)g(0)55 b(o)7
-b(r)53 b(m)s(o)s(r)s(e)758 1835 y(s)10 b(t)g(e)g(p)g(s)j(")38
-b(\045)j(\()18 b(s)9 b(t)g(a)g(r)g(t)32 b(,)66 b(f)11
-b(l)h(o)g(a)h(t)20 b(\()d(r)9 b(u)g(n)g(s)p 1907 1835
-V 45 w(g)g(t)g(e)p 2064 1835 V 46 w(1)g(0)g(0)g(0)18
-b(\))12 b(/)k(f)11 b(l)h(o)g(a)h(t)20 b(\()15 b(r)7 b(u)g(n)g(s)15
-b(\))g(\))256 1993 y Ff(i)d(f)p 383 1993 V 417 1993 V
-130 w Fq(n)c(a)g(m)g(e)p 647 1993 V 680 1993 V 110 w(=)-8
-b(=)48 b(')p 935 1993 V 970 1993 V 86 w(m)9 b(a)g(i)g(n)p
-1195 1993 V 1230 1993 V 95 w(')19 b(:)417 2071 y(m)s(a)s(i)s(n)14
-b(\()c(\))p Black Black 380 2234 a Fs(T)-8 b(able)31
-b(1)f(and)f(2)i(sho)m(ws)f(the)g(results)f(of)h(5000)i(sim)m(ulations)f
-(of)f(the)g(giv)m(en)h(Mark)m(o)m(v)h(c)m(hain.)244 2347
-y(One)f(sim)m(ulation)i(w)m(as)f(run)f(with)g Fr(r)1475
-2361 y Fq(0)1542 2347 y Fs(=)d(0)p Fr(:)p Fs(5,)33 b(where)f(the)g(a)m
-(v)m(erage)i(n)m(um)m(b)s(er)d(of)h(jumps)e(b)s(efore)244
-2460 y(ending)h(up)f(in)h(state)h(100)h(for)e(the)g(\014rst)f(time)i
-(is)f(sho)m(wn)g(in)g(table)h(1.)44 b(The)30 b(other)i(sim)m(ulation)
-244 2573 y(w)m(as)j(run)f(with)g Fr(r)847 2587 y Fq(0)920
-2573 y Fs(=)e(1,)37 b(making)e(it)h(p)s(ossible)e(to)i(get)g(stuc)m(k)g
-(in)e(state)j(0)e(and)f(100,)k(and)c(the)244 2686 y(estimated)e
-(probabilit)m(y)e(of)h(ending)f(up)f(in)h(state)i(100)g(is)e(sho)m(wn)g
-(in)g(table)h(2.)p Black Black 284 2972 a Fm(T)-8 b(able)33
-b(1:)44 b Fc(Avg.)f(numb)s(er)33 b(of)f(jumps)h(b)s(efo)m(re)g(ending)f
-(up)h(in)g(state)g Fm(100)p Fc(,)f(over)g Fm(5000)g Fc(runs)p
-Black Black Black 1118 3102 1526 4 v 1167 3187 a Fm(Start)h(\()p
-Fb(i)p Fm(\))p 1574 3223 4 121 v 99 w(Avg.)44 b(n)m(um)m(b)s(er)34
-b(of)e(jumps)p 1118 3226 1526 4 v 1298 3310 a(25)p 1574
-3347 4 121 v 553 w(9447.67)1298 3431 y(50)p 1574 3467
-V 553 w(7591.80)1298 3551 y(75)p 1574 3587 V 553 w(4527.79)p
-1118 3591 1526 4 v Black 244 4036 a Fa(Con\014dence)38
-b(in)m(terv)-6 b(als)244 4208 y Fs(W)e(e)40 b(are)g(ask)m(ed)g(to)g
-(compute)g(a)g(95\045)g(con\014dence)f(in)m(terv)-5 b(al)41
-b(for)e(the)h(exp)s(ected)g(amoun)m(t)g(of)244 4321 y(time)28
-b(the)g(Mark)m(o)m(v)i(c)m(hain)e(tak)m(es)h(to)f(reac)m(h)h(state)g
-(100)g(for)f(the)f(\014rst)g(time.)41 b(In)27 b(other)h(w)m(ord)f(w)m
-(e)244 4434 y(w)m(an)m(t)j(a)f(con\014dence)h(in)m(terv)-5
-b(al)30 b(for)f Fr(E)5 b Fs(\()p Fr(N)1623 4448 y Fo(i;N)1735
-4434 y Fs(\))29 b(giv)m(en)h(b)m(y)f(equation)h(\(22\))r(.)40
-b(When)29 b(using)g(results)244 4547 y(from)f(our)g(sim)m(ulations)i(w)
-m(e)f(lo)s(ok)g(at)1548 4524 y(\026)1531 4547 y Fr(T)12
-b Fs(,)30 b(the)e(mean)h(time)h(it)f(tak)m(es)h(to)f(get)h(to)g(state)g
-Fr(N)10 b Fs(.)40 b(Since)244 4660 y(w)m(e)31 b(do)f(not)h(kno)m(w)g
-(the)f(v)-5 b(ariance)32 b(w)m(e)f(use)f(the)h(sample)f(v)-5
-b(ariance,)32 b(whic)m(h)e(is)h(un)m(biased)f(and)g(is)p
-Black Black 533 4996 a Fm(T)-8 b(able)33 b(2:)43 b Fc(Ratio)32
-b(of)g(runs)i(that)e(ended)i(up)e(in)h(state)g Fm(100)p
-Fc(,)f(over)h Fm(5000)e Fc(runs)p Black Black Black 1466
-5126 829 4 v 1516 5211 a Fm(Start)h(\()p Fb(i)p Fm(\))p
-1922 5247 4 121 v 148 w Fb(P)2085 5226 y Fo(i;N)p 1466
-5250 829 4 v 1646 5334 a Fm(25)p 1922 5370 4 121 v 230
-w(0.2408)1646 5455 y(50)p 1922 5491 V 230 w(0.4980)1646
-5575 y(75)p 1922 5611 V 230 w(0.7554)p 1466 5614 829
-4 v Black Black 1856 6065 a(5)p Black eop end
+b(\()15 b(r)7 b(u)g(n)g(s)15 b(\))286 828 y(m)7 b(e)g(a)g(n)p
+484 828 V 41 w(s)g(t)g(e)g(p)g(s)45 b(=)38 b(n)r(p)14
+b(.)e(m)q(e)q(a)q(n)d(\()18 b(s)10 b(t)g(e)g(p)g(s)20
+b([)i(s)11 b(t)g(a)g(r)g(t)24 b(])12 b(\))288 986 y(r)d(u)g(n)g(s)p
+463 986 V 45 w(g)g(t)g(e)p 620 986 V 46 w(1)g(0)g(0)g(0)90
+b(=)36 b(sum)12 b(\()f([)g(1)61 b Fd(f)7 b(o)g(r)51 b
+Fn(x)g Fd(i)6 b(n)57 b Fn(s)10 b(t)g(e)g(p)g(s)20 b([)i(s)11
+b(t)g(a)g(r)g(t)23 b(])66 b Fd(i)12 b(f)57 b Fn(x)33
+b Fl(>)-6 b Fn(=)45 b(1)9 b(0)g(0)g(0)g(])g(\))290 1065
+y(r)i(a)g(t)g(i)g(o)p 493 1065 V 46 w(g)g(t)g(e)p 655
+1065 V 47 w(1)g(0)g(0)g(0)48 b(=)g(f)11 b(l)h(o)g(a)h(t)20
+b(\()d(r)9 b(u)g(n)g(s)p 1437 1065 V 45 w(g)g(t)g(e)p
+1594 1065 V 46 w(1)g(0)g(0)g(0)19 b(\))11 b(/)16 b(f)11
+b(l)h(o)h(a)f(t)20 b(\()15 b(r)7 b(u)g(n)g(s)15 b(\))288
+1223 y(S)p 342 1223 V 46 w(s)10 b(t)g(e)g(p)g(s)45 b(=)36
+b(sum)9 b(\()14 b(a)6 b(b)g(s)14 b(\()c(x)37 b Fk(\000)46
+b Fn(m)7 b(e)g(a)g(n)p 1415 1223 V 41 w(s)g(t)g(e)g(p)g(s)16
+b(\))d Fb(*)5 b(*)g Fn(2)56 b Fd(f)7 b(o)g(r)51 b Fn(x)g
+Fd(i)6 b(n)57 b Fn(s)10 b(t)g(e)g(p)g(s)21 b([)h(s)11
+b(t)g(a)g(r)g(t)24 b(])12 b(\))59 b(/)53 b(\()15 b(r)7
+b(u)g(n)g(s)42 b Fk(\000)j Fn(1)7 b(\))284 1380 y Fd(p)f(r)g(i)g(n)g(t)
+49 b Fn(")13 b(S)c(t)g(a)g(r)g(t)62 b(i)9 b(n)42 b(\045)-7
+b(d)13 b(,)61 b(r)7 b(0)43 b(=)h(1)15 b(,)53 b(\045)s(.)s(4)14
+b(f)59 b(r)7 b(u)g(n)g(s)58 b(g)8 b(e)g(t)59 b(t)7 b(o)56
+b(1)5 b(0)g(0)11 b(")49 b Fk(n)609 1459 y Fn(\045)42
+b(\()17 b(s)9 b(t)g(a)g(r)g(t)33 b(,)64 b(r)11 b(a)g(t)g(i)g(o)p
+1257 1459 V 48 w(t)g(o)p 1378 1459 V 48 w(1)g(0)g(0)19
+b(\))284 1538 y Fd(p)6 b(r)g(i)g(n)g(t)49 b Fn(")13 b(S)c(t)g(a)g(r)g
+(t)62 b(i)9 b(n)42 b(\045)-7 b(d)13 b(,)61 b(r)7 b(0)43
+b(=)j(0)10 b(.)g(5)20 b(,)55 b(\045)s(.)s(4)14 b(f)62
+b(s)10 b(t)g(e)g(p)g(s)59 b(t)7 b(o)59 b(g)8 b(e)g(t)59
+b(t)7 b(o)56 b(1)5 b(0)g(0)11 b(")49 b Fk(n)609 1617
+y Fn(\045)42 b(\()17 b(s)9 b(t)g(a)g(r)g(t)33 b(,)55
+b(n)r(p)14 b(.)e(m)q(e)q(a)q(n)d(\()17 b(s)10 b(t)g(e)g(p)g(s)21
+b([)h(s)11 b(t)g(a)g(r)g(t)24 b(])12 b(\))21 b(\))284
+1696 y Fd(p)6 b(r)g(i)g(n)g(t)49 b Fn(")13 b(S)c(t)g(a)g(r)g(t)62
+b(i)9 b(n)42 b(\045)-7 b(d)13 b(,)61 b(r)7 b(0)43 b(=)j(0)10
+b(.)g(5)20 b(,)55 b(\045)s(.)s(4)14 b(f)60 b(r)7 b(u)g(n)g(s)58
+b(g)8 b(e)g(t)59 b(t)7 b(o)56 b(1)5 b(0)g(0)58 b(i)9
+b(n)56 b(1)6 b(0)g(0)g(0)55 b(o)7 b(r)53 b(m)s(o)s(r)s(e)j(s)10
+b(t)g(e)g(p)g(s)j(")50 b Fk(n)609 1775 y Fn(\045)42 b(\()17
+b(s)9 b(t)g(a)g(r)g(t)33 b(,)65 b(f)12 b(l)f(o)i(a)f(t)20
+b(\()d(r)9 b(u)g(n)g(s)p 1480 1775 V 45 w(g)g(t)g(e)p
+1636 1775 V 46 w(1)g(0)g(0)g(0)19 b(\))11 b(/)16 b(f)c(l)g(o)g(a)g(t)20
+b(\()15 b(r)7 b(u)g(n)g(s)15 b(\))g(\))-48 1933 y Fd(i)d(f)p
+79 1933 V 113 1933 V 130 w Fn(n)c(a)g(m)g(e)p 343 1933
+V 377 1933 V 110 w(=)-8 b(=)48 b(')p 631 1933 V 666 1933
+V 86 w(m)9 b(a)g(i)g(n)p 891 1933 V 926 1933 V 95 w(')19
+b(:)113 2011 y(m)s(a)s(i)s(n)14 b(\()c(\))p Black Black
+86 2177 a Fp(Figure)36 b(1)g(sho)m(ws)h(a)f(sim)m(ulation)h(of)e(the)i
+(c)m(hain)f(when)h(starting)f(in)g(state)h(25,)f(50)f(and)h(75.)53
+b(W)-8 b(e)36 b(see)-60 2297 y(that)c(the)h(sim)m(ulation)h(starting)f
+(in)g(state)g(50)f(is)h(the)g(one)g(using)g(the)g(most)g(steps)h(to)e
+(get)h(to)f(state)h(100.)86 2418 y(T)-8 b(able)42 b(1)f(and)g(2)g(sho)m
+(ws)i(the)f(results)g(of)f(5000)f(sim)m(ulations)j(of)e(the)g(giv)m(en)
+i(Mark)m(o)m(v)f(c)m(hain.)70 b(One)-60 2538 y(sim)m(ulation)36
+b(w)m(as)f(run)g(with)g Fo(r)1055 2553 y Fn(0)1125 2538
+y Fp(=)c(0)p Fo(:)p Fp(5,)k(where)g(the)g(a)m(v)m(erage)h(n)m(um)m(b)s
+(er)f(of)f(jumps)i(b)s(efore)e(ending)i(up)e(in)-60 2659
+y(state)h(100)f(for)g(the)g(\014rst)h(time)h(is)f(sho)m(wn)g(in)g
+(table)g(1.)49 b(The)35 b(other)g(sim)m(ulation)g(w)m(as)h(run)f(with)g
+Fo(r)3568 2674 y Fn(0)3638 2659 y Fp(=)c(1,)-60 2779
+y(making)j(it)f(p)s(ossible)i(to)e(get)g(stuc)m(k)i(in)e(state)h(0)f
+(and)g(100,)g(and)g(the)h(estimated)h(probabilit)m(y)f(of)f(ending)-60
+2899 y(up)28 b(in)f(state)h(100)f(is)h(sho)m(wn)h(in)e(table)h(2.)41
+b(The)29 b(results)g(coincide)f(w)m(ell)h(with)f(the)g(calculated)g(v)
+-5 b(alues)29 b(from)-60 3020 y(sub-problem)34 b Fe(b\))i
+Fp(an)c Fe(c\))p Fp(.)p Black Black 284 3304 a(T)-8 b(able)33
+b(1:)44 b Fa(Avg.)f(numb)s(er)33 b(of)f(jumps)h(b)s(efo)m(re)g(ending)f
+(up)h(in)g(state)g Fp(100)p Fa(,)f(over)g Fp(5000)g Fa(runs)p
+Black Black Black 1118 3443 1526 4 v 1167 3527 a Fp(Start)h(\()p
+Fo(i)p Fp(\))p 1574 3563 4 121 v 99 w(Avg.)44 b(n)m(um)m(b)s(er)34
+b(of)e(jumps)p 1118 3566 1526 4 v 1298 3651 a(25)p 1574
+3687 4 121 v 553 w(9447.67)1298 3771 y(50)p 1574 3807
+V 553 w(7591.80)1298 3891 y(75)p 1574 3928 V 553 w(4527.79)p
+1118 3931 1526 4 v Black -60 4378 a Fj(Con\014dence)39
+b(in)m(terv)-6 b(als)-60 4563 y Fp(W)e(e)40 b(are)g(ask)m(ed)h(to)e
+(compute)i(a)e(95\045)g(con\014dence)j(in)m(terv)-5 b(al)40
+b(for)f(the)h(exp)s(ected)i(amoun)m(t)e(of)f(time)h(the)-60
+4683 y(Mark)m(o)m(v)27 b(c)m(hain)g(tak)m(es)f(to)g(reac)m(h)g(state)g
+(100)f(for)g(the)i(\014rst)f(time.)42 b(In)25 b(other)h(w)m(ords)h(w)m
+(e)g(w)m(an)m(t)f(a)g(con\014dence)-60 4804 y(in)m(terv)-5
+b(al)40 b(for)e Fo(E)6 b Fp(\()p Fo(N)648 4819 y Fl(i;N)759
+4804 y Fp(\))38 b(giv)m(en)i(b)m(y)g(equation)g(\(22\))o(.)62
+b(When)40 b(using)g(results)g(from)e(our)h(sim)m(ulations)i(w)m(e)p
+Black Black 533 5141 a(T)-8 b(able)33 b(2:)43 b Fa(Ratio)32
+b(of)g(runs)i(that)e(ended)i(up)e(in)h(state)g Fp(100)p
+Fa(,)f(over)h Fp(5000)e Fa(runs)p Black Black Black 1466
+5280 829 4 v 1516 5364 a Fp(Start)h(\()p Fo(i)p Fp(\))p
+1922 5400 4 121 v 148 w Fo(P)2085 5379 y Fl(i;N)p 1466
+5403 829 4 v 1646 5488 a Fp(25)p 1922 5524 4 121 v 230
+w(0.2408)1646 5608 y(50)p 1922 5644 V 230 w(0.4980)1646
+5728 y(75)p 1922 5765 V 230 w(0.7554)p 1466 5768 829
+4 v Black Black 1856 6125 a(5)p Black eop end

 %%Page: 6 6
 %%Page: 6 6

-TeXDict begin 6 5 bop Black Black 244 100 a Fs(therefore)35
-b(a)f(go)s(o)s(d)h(appro)m(ximation)g(for)f(large)i Fr(n)p
-Fs(.)52 b(The)34 b(sample)g(v)-5 b(ariance)36 b(is)e(calculated)i(as)
-244 213 y(follo)m(ws:)1363 389 y Fr(S)1424 351 y Fq(2)1488
-389 y Fs(=)1691 327 y(1)p 1594 368 240 4 v 1594 451 a
-Fr(N)30 b Fp(\000)20 b Fs(1)1893 275 y Fo(N)1859 303
-y Fl(X)1860 500 y Fo(k)r Fq(=1)1990 389 y Fs(\()p Fr(T)2078
-404 y Fo(k)2141 389 y Fp(\000)2250 366 y Fs(\026)2232
-389 y Fr(T)13 b Fs(\))2333 351 y Fq(2)2373 389 y Fr(:)957
-b Fs(\(23\))244 635 y(With)31 b(this)f(as)h(the)f(v)-5
-b(ariance)31 b(w)m(e)g(can)g(write)g(a)f(standardized)g(normal)h
-(random)e(v)-5 b(ariable)32 b(as)1647 870 y Fr(Z)g Fs(=)1864
-786 y(\026)1847 809 y Fr(T)h Fp(\000)20 b Fr(\026)p 1847
-850 232 4 v 1939 906 a Fo(S)p 1902 921 122 4 v 1902 930
-a Fn(p)p 1960 930 64 3 v 1960 987 a Fo(N)2088 870 y Fr(:)1242
-b Fs(\(24\))244 1162 y(A)30 b(95\045)h(con\014dence)g(in)m(terv)-5
-b(al)31 b(for)f Fr(mu)h Fs(is)f(then)g(giv)m(en)h(b)m(y)1219
-1380 y(\026)1201 1402 y Fr(T)i Fp(\000)20 b Fr(z)1420
-1421 y Fo(\013=)p Fq(2)1599 1341 y Fr(S)p 1550 1382 159
-4 v 1550 1400 a Fp(p)p 1626 1400 83 4 v 77 x Fr(N)1744
-1402 y(<)25 b(\026)g(<)2034 1380 y Fs(\026)2016 1402
-y Fr(T)33 b Fs(+)20 b Fr(z)2235 1421 y Fo(\013=)p Fq(2)2414
-1341 y Fr(S)p 2365 1382 159 4 v 2365 1400 a Fp(p)p 2441
-1400 83 4 v 77 x Fr(N)2534 1402 y(;)796 b Fs(\(25\))244
-1650 y(with)30 b Fr(z)493 1668 y Fo(\013=)p Fq(2)639
-1650 y Fs(=)24 b(1)p Fr(:)p Fs(96.)43 b(Numerically)31
-b(this)f(giv)m(es)1272 1864 y(Start)g(in)g(25:)57 b(\(9269)p
-Fr(:)p Fs(92)p Fr(;)15 b Fs(9625)p Fr(:)p Fs(42)q(\))1272
-2001 y(Start)30 b(in)g(50:)57 b(\(7415)p Fr(:)p Fs(45)p
-Fr(;)15 b Fs(7768)p Fr(:)p Fs(15)q(\))1272 2139 y(Start)30
-b(in)g(75:)57 b(\(4363)p Fr(:)p Fs(43)p Fr(;)15 b Fs(4692)p
-Fr(:)p Fs(15)q(\))3355 2002 y(\(26\))380 2341 y(W)-8
-b(e)33 b(will)f(no)m(w)g(sho)m(w)f(a)h(deriv)-5 b(ation)32
-b(of)g(a)g(95\045)h(con\014dence)e(in)m(terv)-5 b(al)33
-b(for)e(the)h(probabilit)m(y)244 2454 y(that)h(the)g(Mark)m(o)m(v)i(c)m
-(hain)e(ev)m(er)h(visits)f(state)h(100.)49 b(W)-8 b(e)34
-b(denote)f(a)h(success,)f(the)g(tra)m(v)m(el)i(from)244
-2567 y(state)28 b Fr(i)f Fs(to)h(state)g Fr(n)p Fs(,)f(as)g
-Fr(p)p Fs(.)40 b Fr(X)34 b Fs(is)27 b(the)g(n)m(um)m(b)s(er)e(of)i
-(successes)h(in)e Fr(N)37 b Fs(trials.)j(A)27 b(p)s(oin)m(t)g
-(estimator)244 2680 y(for)k Fr(p)g Fs(is)g(giv)m(en)h(b)m(y)39
-b(^)-52 b Fr(p)26 b Fs(=)1098 2644 y Fo(X)p 1098 2659
-64 4 v 1098 2711 a(N)1172 2680 y Fs(.)43 b(Since)31 b(these)h(trials)g
-(ha)m(v)m(e)g(only)g(to)g(p)s(ossible)f(outcomes,)h(success)244
-2793 y(and)i(failure,)j Fr(X)42 b Fs(is)35 b(binomially)g(distributed)f
-(with)h(parameter)g Fr(N)10 b(p)p Fs(.)54 b(F)-8 b(or)35
-b(large)h Fr(N)45 b Fs(w)m(e)35 b(can)244 2905 y(\014nd)29
-b(a)h(standardized)h(normally)f(distributed)g(random)f(v)-5
-b(ariable)31 b(as)g(sho)m(w)f(b)s(elo)m(w.)1599 3147
-y Fr(Z)i Fs(=)1869 3086 y(^)-53 b Fr(p)20 b Fp(\000)g
-Fr(p)p 1799 3126 327 4 v 1799 3145 a Fl(q)p 1890 3145
-237 4 v 1906 3214 a Fq(^)-41 b Fo(p)o Fq(\(1)p Fn(\000)6
-b Fq(^)-41 b Fo(p)q Fq(\))p 1900 3238 217 4 v 1976 3290
-a Fo(N)2136 3147 y Fr(:)1194 b Fs(\(27\))244 3472 y(A)30
-b(95\045)h(con\014dence)g(in)m(terv)-5 b(al)31 b(is)g(then)f(giv)m(en)h
-(b)m(y)983 3745 y(^)-53 b Fr(p)20 b Fp(\000)g Fr(z)1174
-3763 y Fo(\013=)p Fq(2)1294 3597 y Fl(r)p 1385 3597 339
-4 v 1403 3683 a Fs(^)-53 b Fr(p)p Fs(\(1)21 b Fp(\000)27
-b Fs(^)-52 b Fr(p)o Fs(\))p 1395 3724 319 4 v 1513 3807
-a Fr(N)1749 3745 y(<)25 b(p)g(<)32 b Fs(^)-52 b Fr(p)20
-b Fs(+)g Fr(z)2211 3763 y Fo(\013=)p Fq(2)2331 3597 y
-Fl(r)p 2422 3597 339 4 v 2440 3683 a Fs(^)-53 b Fr(p)p
-Fs(\(1)21 b Fp(\000)27 b Fs(^)-53 b Fr(p)p Fs(\))p 2432
-3724 319 4 v 2550 3807 a Fr(N)2761 3745 y(;)569 b Fs(\(28\))244
-3974 y(with)30 b Fr(z)493 3993 y Fo(\013=)p Fq(2)639
-3974 y Fs(=)24 b(1)p Fr(:)p Fs(96.)43 b(In)29 b(n)m(umerical)i(v)-5
-b(alues)31 b(this)f(giv)m(es)1317 4188 y(Start)h(in)f(25:)56
-b(\()q(0)p Fr(:)p Fs(2289)p Fr(;)15 b Fs(0)p Fr(:)p Fs(2527\))1317
-4326 y(Start)31 b(in)f(50:)56 b(\()q(0)p Fr(:)p Fs(4841)p
-Fr(;)15 b Fs(0)p Fr(:)p Fs(5119\))1317 4464 y(Start)31
-b(in)f(75:)56 b(\()q(0)p Fr(:)p Fs(7435)p Fr(;)15 b Fs(0)p
-Fr(:)p Fs(7673\))3355 4326 y(\(29\))380 4660 y(If)21
-b Fr(r)503 4674 y Fq(0)568 4660 y Fp(6)p Fs(=)k(1)c(the)h(c)m(hain)f
-(will)h(alw)m(a)m(ys)g(ev)m(en)m(tually)i(visit)d(state)i(100,)i(and)20
-b(the)i(random)e(v)-5 b(ariable)244 4773 y(alw)m(a)m(ys)25
-b(has)e(the)g(same)h(outcome.)40 b(In)22 b(this)i(case)g(the)g
-(con\014dence)f(in)m(terv)-5 b(al)25 b(do)s(esn't)e(giv)m(e)i(m)m(uc)m
-(h)244 4886 y(sense.)244 5163 y Ft(e\))244 5334 y Fs(Using)30
-b(the)f(sim)m(ulation)i(results)e(from)g(sub-problem)f
-Fg(d\))33 b Fs(w)m(e)d(estimate)h(the)f(probabilit)m(y)g(that)244
-5447 y(it)h(tak)m(es)h(1000)g(or)f(more)f(steps)h(b)s(efore)f(w)m(e)h
-(visit)g(state)h(100)f(for)g(the)f(\014rst)g(time.)42
-b(The)30 b(results)244 5560 y(are)h(sho)m(wn)e(in)h(table)i(3.)p
-Black 1856 6065 a Fm(6)p Black eop end
-%%Page: 7 7
-TeXDict begin 7 6 bop Black Black Black Black 349 152
-a Fm(T)-8 b(able)33 b(3:)43 b Fc(Ratio)32 b(of)g(runs)i(that)e(ended)i
-(up)e(in)h(state)g Fm(100)f Fc(after)h Fm(1000)e Fc(steps)j(o)m(r)f(mo)
-m(re)p Black Black Black 939 283 1884 4 v 989 367 a Fm(Start)f(\()p
-Fb(i)p Fm(\))p 1395 403 4 121 v 100 w(Ratio)g(using)h(1000)e(steps)j
-(or)f(more)p 939 407 1884 4 v 1119 491 a(25)p 1395 527
-4 121 v 757 w(0.9838)1119 611 y(50)p 1395 647 V 757 w(0.8866)1119
-732 y(75)p 1395 768 V 757 w(0.5844)p 939 771 1884 4 v
-Black 244 1134 a Fu(Problem)53 b(2)244 1374 y Ft(a\))244
-1545 y Fs(The)22 b(giv)m(en)i(transition)f(probabilit)m(y)g(matrix)g
-(represen)m(ts)g(a)g(Mark)m(o)m(v)i(c)m(hain)e(with)f(three)h(equiv-)
-244 1658 y(alence)37 b(classes.)57 b(The)35 b(class)h
-Fp(f)p Fs(0)p Fr(;)15 b Fs(1)p Fp(g)38 b Fs(is)e(recurren)m(t)f(with)g
-(p)s(erio)s(d)g Fr(d)f Fs(=)f(1,)38 b(the)e(class)g Fp(f)p
-Fs(2)p Fr(;)15 b Fs(3)p Fp(g)38 b Fs(is)244 1771 y(transien)m(t)31
-b(with)f(p)s(erio)s(d)f Fr(d)d Fs(=)f(2)30 b(and)g(the)h(class)g
-Fp(f)p Fs(4)p Fr(;)15 b Fs(5)p Fp(g)32 b Fs(is)f(recurren)m(t)f(with)g
-(p)s(erio)s(d)f Fr(d)d Fs(=)f(2.)244 2047 y Ft(b\))244
-2242 y Fs(The)20 b(limiting)i(matrix)e(lim)1162 2256
-y Fo(n)p Fn(!1)1365 2242 y Fv(P)1436 2209 y Fq(\()p Fo(n)p
-Fq(\))1559 2242 y Fs(do)s(es)g(not)h(exist,)i(b)s(ecause)e(the)g(limit)
-g(lim)2945 2256 y Fo(n)p Fn(!1)3149 2242 y Fr(P)3220
-2194 y Fq(\()p Fo(n)p Fq(\))3207 2269 y Fo(ij)3342 2242
-y Fs(do)s(es)244 2355 y(not)35 b(exist)h(for)f(all)h
-Fr(i)g Fs(and)e Fr(j)5 b Fs(,)37 b(only)f(when)e(either)h
-Fr(i)h Fs(or)f Fr(j)41 b Fs(is)35 b(not)g(in)g Fp(f)p
-Fs(4)p Fr(;)15 b Fs(5)p Fp(g)p Fs(.)57 b(This)35 b(is)g(b)s(ecause)244
-2468 y(if)i(y)m(ou)g(start)h(in)e(4)h(or)g(5)h(y)m(ou)f(will)g(en)m
-(ter)h(a)f(lo)s(op)g(with)g(p)s(erio)s(d)e(2,)40 b(and)c(the)h
-(probabilit)m(y)h(of)244 2581 y(returning)27 b(to)h(y)m(ou)h(starting)f
-(state)h(is)f(completely)i(determined)d(b)m(y)h(whether)f(the)h(n)m(um)
-m(b)s(er)f(of)244 2694 y(steps)f(is)g(ev)m(en)h(or)f(o)s(dd.)38
-b(The)26 b(limit)g(for)g(b)s(oth)g Fr(i)g Fs(and)f Fr(j)32
-b Fs(in)26 b Fp(f)p Fs(3)p Fr(;)15 b Fs(4)p Fp(g)28 b
-Fs(is)e(zero)h(b)s(ecause)f(this)g(class)h(is)244 2806
-y(transien)m(t.)41 b(The)29 b(deriv)-5 b(ation)30 b(and)f(calculation)j
-(of)e(these)g(limits)g(are)g(sho)m(wn)f(in)g(sub-problem)244
-2919 y Fg(c\))p Fs(.)244 3195 y Ft(c\))244 3367 y Fs(W)-8
-b(e)28 b(solv)m(e)g(this)f(problem)f(b)m(y)h(considering)g(the)g
-(di\013eren)m(t)g(classes)h(one)f(b)m(y)g(one,)h(starting)g(with)244
-3480 y(the)i(submatrix)g(for)g(the)h(class)g Fp(f)p Fs(0)p
-Fr(;)15 b Fs(1)p Fp(g)p Fs(,)33 b(that)e(is)1683 3736
-y Fl(\022)1793 3678 y Fs(0)147 b(1)1615 3808 y(0)1765
-3789 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1765 3789 a Fq(1)1765 3789 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1765 3789 a Black
-1790 3808 a Fr(=)p Black 1831 3808 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1831 3808 a Fq(2)1831
-3808 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1831 3808 a 1957 3789 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1957 3789 a Fq(1)1957
-3789 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1957 3789 a Black 1982 3808 a Fr(=)p Black 2022
-3808 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2022 3808 a Fq(2)2022 3808 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2022 3808 a 1615
-3921 a Fs(1)1765 3902 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1765 3902 a Fq(1)1765 3902 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
+TeXDict begin 6 5 bop Black Black Black -60 2161 a @beginspecial
+-53 @llx 190 @lly 665 @urx 601 @ury 4656 @rwi @setspecial
+%%BeginDocument: figur.eps
+%!PS-Adobe-3.0 EPSF-3.0
+%%Title: /home/edv4rd/School/Stokastisk - TMA4265/figur.eps
+%%Creator: matplotlib version 0.99.3, http://matplotlib.sourceforge.net/
+%%CreationDate: Mon Oct 31 14:32:51 2011
+%%Orientation: portrait
+%%BoundingBox: -53 190 665 601
+%%EndComments
+%%BeginProlog
+/mpldict 8 dict def
+mpldict begin
+/m { moveto } bind def
+/l { lineto } bind def
+/r { rlineto } bind def
+/c { curveto } bind def
+/cl { closepath } bind def
+/box {
+m
+1 index 0 r
+0 exch r
+neg 0 r
+cl
+} bind def
+/clipbox {
+box
+clip
+newpath
+} bind def
+%!PS-Adobe-3.0 Resource-Font
+%%Title: DejaVu Sans
+%%Copyright: Copyright (c) 2003 by Bitstream, Inc. All Rights Reserved. Copyright (c) 2006 by Tavmjong Bah. All Rights Reserved. DejaVu changes are in public domain 
+%%Creator: Converted from TrueType by PPR
+25 dict begin
+/_d{bind def}bind def
+/_m{moveto}_d
+/_l{lineto}_d
+/_cl{closepath eofill}_d
+/_c{curveto}_d
+/_sc{7 -1 roll{setcachedevice}{pop pop pop pop pop pop}ifelse}_d
+/_e{exec}_d
+/FontName /DejaVuSans def
+/PaintType 0 def
+/FontMatrix[.001 0 0 .001 0 0]def
+/FontBBox[-1020 -414 1681 1167]def
+/FontType 3 def
+/Encoding StandardEncoding def
+/FontInfo 10 dict dup begin
+/FamilyName (DejaVu Sans) def
+/FullName (DejaVu Sans) def
+/Notice (Copyright (c) 2003 by Bitstream, Inc. All Rights Reserved. Copyright (c) 2006 by Tavmjong Bah. All Rights Reserved. DejaVu changes are in public domain ) def
+/Weight (Book) def
+/Version (Version 2.31) def
+/ItalicAngle 0.0 def
+/isFixedPitch false def
+/UnderlinePosition -130 def
+/UnderlineThickness 90 def
+end readonly def
+/CharStrings 19 dict dup begin
+/space{318 0 0 0 0 0 _sc
+}_d
+/zero{636 0 66 -13 570 742 _sc
+318 664 _m
+267 664 229 639 203 589 _c
+177 539 165 464 165 364 _c
+165 264 177 189 203 139 _c
+229 89 267 64 318 64 _c
+369 64 407 89 433 139 _c
+458 189 471 264 471 364 _c
+471 464 458 539 433 589 _c
+407 639 369 664 318 664 _c
+318 742 _m
+399 742 461 709 505 645 _c
+548 580 570 486 570 364 _c
+570 241 548 147 505 83 _c
+461 19 399 -13 318 -13 _c
+236 -13 173 19 130 83 _c
+87 147 66 241 66 364 _c
+66 486 87 580 130 645 _c
+173 709 236 742 318 742 _c
+_cl}_d
+/one{636 0 110 0 544 729 _sc
+124 83 _m
+285 83 _l
+285 639 _l
+110 604 _l
+110 694 _l
+284 729 _l
+383 729 _l
+383 83 _l
+544 83 _l
+544 0 _l
+124 0 _l
+124 83 _l
+_cl}_d
+/two{{636 0 73 0 536 742 _sc
+192 83 _m
+536 83 _l
+536 0 _l
+73 0 _l
+73 83 _l
+110 121 161 173 226 239 _c
+290 304 331 346 348 365 _c
+380 400 402 430 414 455 _c
+426 479 433 504 433 528 _c
+433 566 419 598 392 622 _c
+365 646 330 659 286 659 _c
+255 659 222 653 188 643 _c
+154 632 117 616 78 594 _c
+78 694 _l
+118 710 155 722 189 730 _c
+223 738 255 742 284 742 _c
+359 742 419 723 464 685 _c
+509 647 532 597 532 534 _c
+532 504 526 475 515 449 _c
+504 422 484 390 454 354 _c
+446 344 420 317 376 272 _c
+332 227 271 164 192 83 _c
+_cl}_e}_d
+/three{{636 0 76 -13 556 742 _sc
+406 393 _m
+453 383 490 362 516 330 _c
+542 298 556 258 556 212 _c
+556 140 531 84 482 45 _c
+432 6 362 -13 271 -13 _c
+240 -13 208 -10 176 -4 _c
+144 1 110 10 76 22 _c
+76 117 _l
+103 101 133 89 166 81 _c
+198 73 232 69 268 69 _c
+330 69 377 81 409 105 _c
+441 129 458 165 458 212 _c
+458 254 443 288 413 312 _c
+383 336 341 349 287 349 _c
+202 349 _l
+202 430 _l
+291 430 _l
+339 430 376 439 402 459 _c
+428 478 441 506 441 543 _c
+441 580 427 609 401 629 _c
+374 649 336 659 287 659 _c
+260 659 231 656 200 650 _c
+169 644 135 635 98 623 _c
+98 711 _l
+135 721 170 729 203 734 _c
+235 739 266 742 296 742 _c
+}_e{370 742 429 725 473 691 _c
+517 657 539 611 539 553 _c
+539 513 527 479 504 451 _c
+481 423 448 403 406 393 _c
+_cl}_e}_d
+/four{636 0 49 0 580 729 _sc
+378 643 _m
+129 254 _l
+378 254 _l
+378 643 _l
+352 729 _m
+476 729 _l
+476 254 _l
+580 254 _l
+580 172 _l
+476 172 _l
+476 0 _l
+378 0 _l
+378 172 _l
+49 172 _l
+49 267 _l
+352 729 _l
+_cl}_d
+/five{{636 0 77 -13 549 729 _sc
+108 729 _m
+495 729 _l
+495 646 _l
+198 646 _l
+198 467 _l
+212 472 227 476 241 478 _c
+255 480 270 482 284 482 _c
+365 482 429 459 477 415 _c
+525 370 549 310 549 234 _c
+549 155 524 94 475 51 _c
+426 8 357 -13 269 -13 _c
+238 -13 207 -10 175 -6 _c
+143 -1 111 6 77 17 _c
+77 116 _l
+106 100 136 88 168 80 _c
+199 72 232 69 267 69 _c
+323 69 368 83 401 113 _c
+433 143 450 183 450 234 _c
+450 284 433 324 401 354 _c
+368 384 323 399 267 399 _c
+241 399 214 396 188 390 _c
+162 384 135 375 108 363 _c
+108 729 _l
+_cl}_e}_d
+/six{{636 0 70 -13 573 742 _sc
+330 404 _m
+286 404 251 388 225 358 _c
+199 328 186 286 186 234 _c
+186 181 199 139 225 109 _c
+251 79 286 64 330 64 _c
+374 64 409 79 435 109 _c
+461 139 474 181 474 234 _c
+474 286 461 328 435 358 _c
+409 388 374 404 330 404 _c
+526 713 _m
+526 623 _l
+501 635 476 644 451 650 _c
+425 656 400 659 376 659 _c
+310 659 260 637 226 593 _c
+192 549 172 482 168 394 _c
+187 422 211 444 240 459 _c
+269 474 301 482 336 482 _c
+409 482 467 459 509 415 _c
+551 371 573 310 573 234 _c
+573 159 550 99 506 54 _c
+462 9 403 -13 330 -13 _c
+246 -13 181 19 137 83 _c
+92 147 70 241 70 364 _c
+70 479 97 571 152 639 _c
+206 707 280 742 372 742 _c
+}_e{396 742 421 739 447 735 _c
+472 730 498 723 526 713 _c
+_cl}_e}_d
+/seven{636 0 82 0 551 729 _sc
+82 729 _m
+551 729 _l
+551 687 _l
+286 0 _l
+183 0 _l
+432 646 _l
+82 646 _l
+82 729 _l
+_cl}_d
+/eight{{636 0 68 -13 568 742 _sc
+318 346 _m
+271 346 234 333 207 308 _c
+180 283 167 249 167 205 _c
+167 161 180 126 207 101 _c
+234 76 271 64 318 64 _c
+364 64 401 76 428 102 _c
+455 127 469 161 469 205 _c
+469 249 455 283 429 308 _c
+402 333 365 346 318 346 _c
+219 388 _m
+177 398 144 418 120 447 _c
+96 476 85 511 85 553 _c
+85 611 105 657 147 691 _c
+188 725 245 742 318 742 _c
+390 742 447 725 489 691 _c
+530 657 551 611 551 553 _c
+551 511 539 476 515 447 _c
+491 418 459 398 417 388 _c
+464 377 501 355 528 323 _c
+554 291 568 251 568 205 _c
+568 134 546 80 503 43 _c
+459 5 398 -13 318 -13 _c
+237 -13 175 5 132 43 _c
+89 80 68 134 68 205 _c
+68 251 81 291 108 323 _c
+134 355 171 377 219 388 _c
+}_e{183 544 _m
+183 506 194 476 218 455 _c
+242 434 275 424 318 424 _c
+360 424 393 434 417 455 _c
+441 476 453 506 453 544 _c
+453 582 441 611 417 632 _c
+393 653 360 664 318 664 _c
+275 664 242 653 218 632 _c
+194 611 183 582 183 544 _c
+_cl}_e}_d
+/nine{{636 0 63 -13 566 742 _sc
+110 15 _m
+110 105 _l
+134 93 159 84 185 78 _c
+210 72 235 69 260 69 _c
+324 69 374 90 408 134 _c
+442 178 462 244 468 334 _c
+448 306 424 284 396 269 _c
+367 254 335 247 300 247 _c
+226 247 168 269 126 313 _c
+84 357 63 417 63 494 _c
+63 568 85 628 129 674 _c
+173 719 232 742 306 742 _c
+390 742 455 709 499 645 _c
+543 580 566 486 566 364 _c
+566 248 538 157 484 89 _c
+429 21 356 -13 264 -13 _c
+239 -13 214 -10 189 -6 _c
+163 -2 137 5 110 15 _c
+306 324 _m
+350 324 385 339 411 369 _c
+437 399 450 441 450 494 _c
+450 546 437 588 411 618 _c
+385 648 350 664 306 664 _c
+262 664 227 648 201 618 _c
+175 588 162 546 162 494 _c
+}_e{162 441 175 399 201 369 _c
+227 339 262 324 306 324 _c
+_cl}_e}_d
+/S{{635 0 66 -13 579 742 _sc
+535 705 _m
+535 609 _l
+497 627 462 640 429 649 _c
+395 657 363 662 333 662 _c
+279 662 237 651 208 631 _c
+179 610 165 580 165 542 _c
+165 510 174 485 194 469 _c
+213 452 250 439 304 429 _c
+364 417 _l
+437 403 491 378 526 343 _c
+561 307 579 260 579 201 _c
+579 130 555 77 508 41 _c
+460 5 391 -13 300 -13 _c
+265 -13 228 -9 189 -2 _c
+150 5 110 16 69 32 _c
+69 134 _l
+109 111 148 94 186 83 _c
+224 71 262 66 300 66 _c
+356 66 399 77 430 99 _c
+460 121 476 152 476 194 _c
+476 230 465 258 443 278 _c
+421 298 385 313 335 323 _c
+275 335 _l
+201 349 148 372 115 404 _c
+82 435 66 478 66 534 _c
+66 598 88 649 134 686 _c
+179 723 242 742 322 742 _c
+}_e{356 742 390 739 426 733 _c
+461 727 497 717 535 705 _c
+_cl}_e}_d
+/a{{613 0 60 -13 522 560 _sc
+343 275 _m
+270 275 220 266 192 250 _c
+164 233 150 205 150 165 _c
+150 133 160 107 181 89 _c
+202 70 231 61 267 61 _c
+317 61 357 78 387 114 _c
+417 149 432 196 432 255 _c
+432 275 _l
+343 275 _l
+522 312 _m
+522 0 _l
+432 0 _l
+432 83 _l
+411 49 385 25 355 10 _c
+325 -5 287 -13 243 -13 _c
+187 -13 142 2 109 33 _c
+76 64 60 106 60 159 _c
+60 220 80 266 122 298 _c
+163 329 224 345 306 345 _c
+432 345 _l
+432 354 _l
+432 395 418 427 391 450 _c
+364 472 326 484 277 484 _c
+245 484 215 480 185 472 _c
+155 464 127 453 100 439 _c
+100 522 _l
+}_e{132 534 164 544 195 550 _c
+226 556 256 560 286 560 _c
+365 560 424 539 463 498 _c
+502 457 522 395 522 312 _c
+_cl}_e}_d
+/e{{615 0 55 -13 562 560 _sc
+562 296 _m
+562 252 _l
+149 252 _l
+153 190 171 142 205 110 _c
+238 78 284 62 344 62 _c
+378 62 412 66 444 74 _c
+476 82 509 95 541 113 _c
+541 28 _l
+509 14 476 3 442 -3 _c
+408 -9 373 -13 339 -13 _c
+251 -13 182 12 131 62 _c
+80 112 55 181 55 268 _c
+55 357 79 428 127 481 _c
+175 533 241 560 323 560 _c
+397 560 455 536 498 489 _c
+540 441 562 377 562 296 _c
+472 322 _m
+471 371 457 410 431 440 _c
+404 469 368 484 324 484 _c
+274 484 234 469 204 441 _c
+174 413 156 373 152 322 _c
+472 322 _l
+_cl}_e}_d
+/i{278 0 94 0 184 760 _sc
+94 547 _m
+184 547 _l
+184 0 _l
+94 0 _l
+94 547 _l
+94 760 _m
+184 760 _l
+184 646 _l
+94 646 _l
+94 760 _l
+_cl}_d
+/n{634 0 91 0 549 560 _sc
+549 330 _m
+549 0 _l
+459 0 _l
+459 327 _l
+459 379 448 417 428 443 _c
+408 469 378 482 338 482 _c
+289 482 251 466 223 435 _c
+195 404 181 362 181 309 _c
+181 0 _l
+91 0 _l
+91 547 _l
+181 547 _l
+181 462 _l
+202 494 227 519 257 535 _c
+286 551 320 560 358 560 _c
+420 560 468 540 500 501 _c
+532 462 549 405 549 330 _c
+_cl}_d
+/p{{635 0 91 -207 580 560 _sc
+181 82 _m
+181 -207 _l
+91 -207 _l
+91 547 _l
+181 547 _l
+181 464 _l
+199 496 223 520 252 536 _c
+281 552 316 560 356 560 _c
+422 560 476 533 518 481 _c
+559 428 580 359 580 273 _c
+580 187 559 117 518 65 _c
+476 13 422 -13 356 -13 _c
+316 -13 281 -5 252 10 _c
+223 25 199 49 181 82 _c
+487 273 _m
+487 339 473 390 446 428 _c
+418 466 381 485 334 485 _c
+286 485 249 466 222 428 _c
+194 390 181 339 181 273 _c
+181 207 194 155 222 117 _c
+249 79 286 61 334 61 _c
+381 61 418 79 446 117 _c
+473 155 487 207 487 273 _c
+_cl}_e}_d
+/r{411 0 91 0 411 560 _sc
+411 463 _m
+401 469 390 473 378 476 _c
+366 478 353 480 339 480 _c
+288 480 249 463 222 430 _c
+194 397 181 350 181 288 _c
+181 0 _l
+91 0 _l
+91 547 _l
+181 547 _l
+181 462 _l
+199 495 224 520 254 536 _c
+284 552 321 560 365 560 _c
+371 560 378 559 386 559 _c
+393 558 401 557 411 555 _c
+411 463 _l
+_cl}_d
+/t{392 0 27 0 368 702 _sc
+183 702 _m
+183 547 _l
+368 547 _l
+368 477 _l
+183 477 _l
+183 180 _l
+183 135 189 106 201 94 _c
+213 81 238 75 276 75 _c
+368 75 _l
+368 0 _l
+276 0 _l
+206 0 158 13 132 39 _c
+106 65 93 112 93 180 _c
+93 477 _l
+27 477 _l
+27 547 _l
+93 547 _l
+93 702 _l
+183 702 _l
+_cl}_d
+end readonly def

 
 

-1765 3902 a Black 1790 3921 a Fr(=)p Black 1831 3921
-a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1831 3921 a Fq(3)1831 3921 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1831 3921 a 1957 3902
-a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1957 3902 a Fq(2)1957 3902 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1957 3902 a Black 1982
-3921 a Fr(=)p Black 2022 3921 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2022 3921 a Fq(3)2022
-3921 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2022 3921 a 2073 3736 a Fl(\023)2140 3864 y Fr(:)1190
-b Fs(\(30\))244 4114 y(This)43 b(class)h(is)g(recurren)m(t)f(and)g(the)
-h(long)h(run)d(prop)s(ortion)h(of)h(time)g(sp)s(en)m(t)f(in)h(a)g
-(state)h(is)244 4227 y(indep)s(enden)m(t)29 b(of)i(the)f(initial)i
-(state.)42 b(The)30 b(equations)h(for)f Fr(\031)2325
-4241 y Fo(i)2383 4227 y Fs(then)g(b)s(ecomes)1549 4461
-y Fr(\031)1601 4475 y Fq(0)1666 4461 y Fs(=)1772 4400
-y(1)p 1772 4440 46 4 v 1772 4524 a(2)1827 4461 y Fr(\031)1879
-4475 y Fq(0)1939 4461 y Fs(+)2039 4400 y(1)p 2039 4440
-V 2039 4524 a(3)2095 4461 y Fr(\031)2147 4475 y Fq(1)2186
-4461 y Fr(;)1549 4677 y(\031)1601 4691 y Fq(1)1666 4677
-y Fs(=)1772 4615 y(1)p 1772 4656 V 1772 4739 a(2)1827
-4677 y Fr(\031)1879 4691 y Fq(0)1939 4677 y Fs(+)2039
-4615 y(2)p 2039 4656 V 2039 4739 a(3)2095 4677 y Fr(\031)2147
-4691 y Fq(1)2186 4677 y Fr(;)1595 4852 y Fs(1)c(=)f Fr(\031)1814
-4866 y Fq(0)1873 4852 y Fs(+)20 b Fr(\031)2016 4866 y
-Fq(1)2055 4852 y Fr(:)3355 4637 y Fs(\(31\))244 5050
-y(Solving)31 b(these)h(equations)g(giv)m(e)h Fr(\031)1447
-5064 y Fq(0)1512 5050 y Fs(=)1610 5032 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1610 5032 a
-Fq(4)1610 5032 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1610 5032 a Black 1635 5050 a Fr(=)p
-Black 1675 5050 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1675 5050 a Fq(10)1675 5050 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1675
-5050 a 102 w Fs(and)e Fr(\031)2007 5064 y Fq(1)2072 5050
-y Fs(=)2170 5032 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2170 5032 a Fq(6)2170 5032 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2170
-5032 a Black 2195 5050 a Fr(=)p Black 2235 5050 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2235
-5050 a Fq(10)2235 5050 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2235 5050 a 71 w Fs(.)43 b(That)31
-b(F)-8 b(or)32 b(the)f(class)h Fp(f)p Fs(4)p Fr(;)15
-b Fs(5)p Fp(g)33 b Fs(the)244 5163 y(long)j(run)f(prop)s(ortion)g(of)h
-(time)g(sp)s(en)m(t)g(in)g(either)g(state)h(is)f(clearly)2643
-5145 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2643 5145 a Fq(1)2643 5145 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2643 5145 a Black
-2668 5163 a Fr(=)p Black 2709 5163 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2709 5163 a Fq(2)2709
-5163 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2709 5163 a 71 w Fs(for)g(b)s(oth)f(states,)j(as)244
-5276 y(y)m(ou)31 b(will)f(switc)m(h)h(b)s(et)m(w)m(een)g(them)f(for)h
-(ev)m(ery)g(step.)380 5389 y(Starting)38 b(in)g(state)g(2)g(or)g(3)g(w)
-m(e)g(can)g(end)f(up)f(in)i(either)g(of)f(the)h(t)m(w)m(o)h(recurren)m
-(t)e(classes.)244 5502 y(W)-8 b(e)37 b(de\014ne)d Fr(C)42
-b Fs(to)37 b(b)s(e)e(the)g(probabilit)m(y)i(of)e(b)s(eing)g(caugh)m(t)i
-(in)e(the)h(class)h Fp(f)p Fs(0)p Fr(;)15 b Fs(1)p Fp(g)p
-Fs(,)39 b(and)c Fr(u)3327 5516 y Fo(i)3390 5502 y Fs(the)244
-5615 y(probabilit)m(y)c(of)f(b)s(eing)g(caugh)m(t)i(giv)m(en)f(the)g
-(starting)g(state)h Fr(i)p Fs(,)1514 5816 y Fr(u)1566
-5830 y Fo(i)1620 5816 y Fs(=)25 b Fr(P)13 b Fs(\()p Fr(C)7
-b Fp(j)p Fr(X)1994 5830 y Fq(0)2059 5816 y Fs(=)25 b
-Fr(i)p Fs(\))p Fr(:)1109 b Fs(\(32\))p Black 1856 6065
-a Fm(7)p Black eop end
-%%Page: 8 8
-TeXDict begin 8 7 bop Black Black 244 100 a Fs(T)-8 b(aking)31
-b(one)g(step)f(giv)m(es)i(the)e(follo)m(wing)i(t)m(w)m(o)g(equations)f
-(for)f Fr(u)2439 114 y Fq(2)2509 100 y Fs(and)g Fr(u)2738
-114 y Fq(3)2777 100 y Fs(:)1090 305 y Fr(u)1142 319 y
-Fq(2)1207 305 y Fs(=)1303 219 y Fl(X)1356 414 y Fo(i)1449
-305 y Fr(P)13 b Fs(\()p Fr(C)7 b Fp(j)p Fr(X)1727 319
-y Fq(1)1792 305 y Fs(=)25 b Fr(i)p Fs(\))p Fr(P)13 b
-Fs(\()p Fr(X)2135 319 y Fq(1)2201 305 y Fs(=)25 b Fr(i)p
-Fp(j)p Fr(X)2428 319 y Fq(0)2494 305 y Fs(=)g(2\))1207
-552 y(=)1303 465 y Fl(X)1356 661 y Fo(i)1449 552 y Fr(P)13
-b Fs(\()p Fr(C)7 b Fp(j)p Fr(X)1727 566 y Fq(1)1792 552
-y Fs(=)25 b Fr(i)p Fs(\))p Fr(P)2012 566 y Fq(2)p Fo(;i)1207
-823 y Fs(=)1313 762 y(1)p 1313 802 46 4 v 1313 886 a(3)1388
-823 y(+)1489 762 y(1)p 1489 802 V 1489 886 a(3)1545 823
-y Fr(u)1597 837 y Fq(3)1636 823 y Fr(;)3355 571 y Fs(\(33\))1090
-1073 y Fr(u)1142 1087 y Fq(3)1207 1073 y Fs(=)1303 987
-y Fl(X)1356 1182 y Fo(i)1449 1073 y Fr(P)13 b Fs(\()p
-Fr(C)7 b Fp(j)p Fr(X)1727 1087 y Fq(1)1792 1073 y Fs(=)25
-b Fr(i)p Fs(\))p Fr(P)13 b Fs(\()p Fr(X)2135 1087 y Fq(1)2201
-1073 y Fs(=)25 b Fr(i)p Fp(j)p Fr(X)2428 1087 y Fq(0)2494
-1073 y Fs(=)g(3\))1207 1320 y(=)1303 1234 y Fl(X)1356
-1429 y Fo(i)1449 1320 y Fr(P)13 b Fs(\()p Fr(C)7 b Fp(j)p
-Fr(X)1727 1334 y Fq(1)1792 1320 y Fs(=)25 b Fr(i)p Fs(\))p
-Fr(P)2012 1334 y Fq(3)p Fo(;i)1207 1591 y Fs(=)1313 1530
-y(1)p 1313 1570 V 1313 1654 a(3)1388 1591 y(+)1489 1530
-y(1)p 1489 1570 V 1489 1654 a(6)1545 1591 y Fr(u)1597
-1605 y Fq(2)1636 1591 y Fr(:)3355 1339 y Fs(\(34\))244
-1780 y(Solving)35 b(these)h(equations)g(giv)m(e)h Fr(u)1463
-1794 y Fq(2)1536 1780 y Fs(=)1640 1762 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1640 1762 a
-Fq(8)1640 1762 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1640 1762 a Black 1665 1780 a Fr(=)p
-Black 1705 1780 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1705 1780 a Fq(17)1705 1780 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1705
-1780 a 106 w Fs(and)e Fr(u)2045 1794 y Fq(3)2118 1780
-y Fs(=)2222 1762 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2222 1762 a Fq(7)2222 1762 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2222
-1762 a Black 2247 1780 a Fr(=)p Black 2287 1780 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2287
-1780 a Fq(17)2287 1780 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2287 1780 a 71 w Fs(.)55 b(W)-8
-b(e)36 b(can)g(de\014ne)e Fr(v)3082 1794 y Fo(i)3146
-1780 y Fs(to)i(b)s(e)e(the)244 1893 y(probabilities)k(of)f(ending)g(up)
-g(in)g(the)g(class)h Fp(f)p Fs(4)p Fr(;)15 b Fs(5)p Fp(g)p
-Fs(,)42 b(and)37 b(w)m(e)h(see)g(that)g Fr(v)2831 1907
-y Fo(i)2896 1893 y Fs(=)e(1)26 b Fp(\000)e Fr(u)3221
-1907 y Fo(i)3287 1893 y Fs(whic)m(h)244 2006 y(giv)m(es)32
-b Fr(v)511 2020 y Fq(2)575 2006 y Fs(=)671 1988 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 671
-1988 a Fq(9)671 1988 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 671 1988 a Black 696 2006 a Fr(=)p
-Black 737 2006 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 737 2006 a Fq(17)737 2006 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 737 2006
-a 101 w Fs(and)e Fr(v)1059 2020 y Fq(3)1123 2006 y Fs(=)1219
-1988 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1219 1988 a Fq(10)1219 1988 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1219 1988 a Black
-1280 2006 a Fr(=)p Black 1320 2006 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1320 2006 a Fq(17)1320
-2006 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1320 2006 a 71 w Fs(.)380 2119 y(As)e(the)g(class)g
-Fp(f)p Fs(2)p Fr(;)15 b Fs(3)p Fp(g)30 b Fs(is)e(transien)m(t,)h(the)f
-(long)g(run)e(prop)s(ortion)h(of)h(time)g(sp)s(en)m(t)f(there)h(is)g
-(0.)380 2232 y(W)-8 b(e)40 b(can)g(no)m(w)f(write)g(the)g(long)h(run)d
-(prop)s(ortion)i(of)g(time)h(sp)s(en)m(t)e(in)h(state)h
-Fr(j)45 b Fs(giv)m(en)40 b(an)244 2345 y(initial)32 b(state)f
-Fr(i)g Fs(as)f(the)h(matrix)g(\()p Fr(m)1470 2359 y Fo(i;j)1550
-2345 y Fs(\),)1048 2825 y(\()p Fr(m)1163 2839 y Fo(i;j)1243
-2825 y Fs(\))26 b(=)1400 2479 y Fl(2)1400 2639 y(6)1400
-2693 y(6)1400 2748 y(6)1400 2802 y(6)1400 2857 y(6)1400
-2912 y(6)1400 2970 y(4)1478 2524 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1478 2524 a Fq(4)1478
-2524 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1478 2524 a Black 1503 2543 a Fr(=)p Black 1544
-2543 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1544 2543 a Fq(10)1544 2543 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1544 2543 a 1732
-2524 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1732 2524 a Fq(6)1732 2524 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1732 2524 a Black
-1758 2543 a Fr(=)p Black 1798 2543 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1798 2543 a Fq(10)1798
-2543 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1798 2543 a 171 w Fs(0)84 b(0)146 b(0)210 b(0)1478
-2637 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1478 2637 a Fq(4)1478 2637 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1478 2637 a Black
-1503 2656 a Fr(=)p Black 1544 2656 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1544 2656 a Fq(10)1544
-2656 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1544 2656 a 1732 2637 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1732 2637 a Fq(6)1732
-2637 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1732 2637 a Black 1758 2656 a Fr(=)p Black 1798
-2656 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1798 2656 a Fq(10)1798 2656 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1798 2656 a 171
-w Fs(0)84 b(0)146 b(0)210 b(0)1460 2750 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1460 2750 a
-Fq(16)1460 2750 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1460 2750 a Black 1521 2769 a Fr(=)p
-Black 1561 2769 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1561 2769 a Fq(85)1561 2769 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1561
-2769 a 1715 2750 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1715 2750 a Fq(24)1715 2750 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1715
-2750 a Black 1775 2769 a Fr(=)p Black 1816 2769 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1816
-2769 a Fq(85)1816 2769 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1816 2769 a 153 w Fs(0)84 b(0)2244
-2750 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2244 2750 a Fq(9)2244 2750 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2244 2750 a Black
-2269 2769 a Fr(=)p Black 2309 2769 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2309 2769 a Fq(34)2309
-2769 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2309 2769 a 2498 2750 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2498 2750 a Fq(9)2498
-2750 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2498 2750 a Black 2524 2769 a Fr(=)p Black 2564
-2769 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2564 2769 a Fq(34)2564 2769 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2564 2769 a 1460
-2863 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1460 2863 a Fq(14)1460 2863 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1460 2863 a Black
-1521 2881 a Fr(=)p Black 1561 2881 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1561 2881 a Fq(85)1561
-2881 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1561 2881 a 1715 2863 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1715 2863 a Fq(21)1715
-2863 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1715 2863 a Black 1775 2881 a Fr(=)p Black 1816
-2881 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 1816 2881 a Fq(85)1816 2881 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 1816 2881 a 153
-w Fs(0)g(0)2226 2863 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2226 2863 a Fq(10)2226 2863 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
+/BuildGlyph
+ {exch begin
+ CharStrings exch
+ 2 copy known not{pop /.notdef}if
+ true 3 1 roll get exec
+ end}_d

 
 

-2226 2863 a Black 2287 2881 a Fr(=)p Black 2327 2881
-a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2327 2881 a Fq(34)2327 2881 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2327 2881 a 2481 2863
-a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2481 2863 a Fq(10)2481 2863 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2481 2863 a Black 2541
-2881 a Fr(=)p Black 2582 2881 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2582 2881 a Fq(34)2582
-2881 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2582 2881 a 1523 2994 a Fs(0)210 b(0)146 b(0)84
-b(0)2262 2976 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2262 2976 a Fq(1)2262 2976 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2262 2976
-a Black 2287 2994 a Fr(=)p Black 2327 2994 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2327 2994
-a Fq(2)2327 2994 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2327 2994 a 2516 2976 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2516 2976
-a Fq(1)2516 2976 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2516 2976 a Black 2541 2994 a Fr(=)p
-Black 2582 2994 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2582 2994 a Fq(2)2582 2994 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2582 2994
-a 1523 3107 a Fs(0)210 b(0)146 b(0)84 b(0)2262 3089 y
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
+/BuildChar {
+ 1 index /Encoding get exch get
+ 1 index /BuildGlyph get exec
+}_d
+
+FontName currentdict end definefont pop
+end
+%%EndProlog
+mpldict begin
+-53.1 190.35 translate
+718.2 411.3 0 0 clipbox
+1.000 setlinewidth
+1 setlinejoin
+2 setlinecap
+[] 0 setdash
+1.000 setgray
+gsave
+0 0 m
+718.2 0 l
+718.2 411.3 l
+0 411.3 l
+0 0 l
+gsave
+fill
+grestore
+stroke
+grestore
+gsave
+89.775 41.13 m
+646.38 41.13 l
+646.38 370.17 l
+89.775 370.17 l
+89.775 41.13 l
+fill
+grestore
+0.000 0.000 1.000 setrgbcolor
+gsave
+556.6 329 89.77 41.13 clipbox
+89.775 123.39 m
+89.8368 120.1 l
+90.0224 123.39 l
+90.4553 133.261 l
+91.0737 113.519 l
+91.6303 129.971 l
+91.8777 123.39 l
+91.9396 126.68 l
+92.1251 136.552 l
+92.2488 129.971 l
+92.8054 113.519 l
+93.1146 129.971 l
+93.2383 123.39 l
+93.3002 120.1 l
+93.4857 123.39 l
+93.9805 136.552 l
+94.0423 133.261 l
+94.166 139.842 l
+94.5989 156.294 l
+94.6608 153.004 l
+94.97 149.713 l
+95.341 162.875 l
+95.4029 159.584 l
+95.9595 143.132 l
+96.145 153.004 l
+96.2687 146.423 l
+96.8872 126.68 l
+97.0727 129.971 l
+97.1346 126.68 l
+97.6912 110.228 l
+97.753 113.519 l
+97.8767 106.938 l
+97.9385 103.648 l
+98.1241 106.938 l
+98.1859 110.228 l
+98.3715 106.938 l
+98.9281 90.486 l
+99.4228 103.648 l
+99.4847 100.357 l
+99.6702 103.648 l
+99.732 106.938 l
+99.9176 103.648 l
+100.289 97.0668 l
+100.474 100.357 l
+100.536 97.0668 l
+100.845 93.7764 l
+101.154 110.228 l
+101.278 103.648 l
+101.34 100.357 l
+101.464 106.938 l
+101.773 116.809 l
+101.835 113.519 l
+101.897 110.228 l
+102.082 113.519 l
+102.453 120.1 l
+102.886 110.228 l
+103.072 120.1 l
+103.257 116.809 l
+103.381 110.228 l
+103.505 116.809 l
+104.061 133.261 l
+104.247 129.971 l
+104.309 133.261 l
+104.494 143.132 l
+104.618 136.552 l
+104.68 133.261 l
+104.865 136.552 l
+105.051 146.423 l
+105.174 139.842 l
+106.164 100.357 l
+106.535 106.938 l
+106.844 90.486 l
+106.968 97.0668 l
+107.215 110.228 l
+107.339 103.648 l
+107.586 97.0668 l
+107.648 100.357 l
+108.081 110.228 l
+108.514 100.357 l
+108.885 106.938 l
+109.565 83.9052 l
+109.998 93.7764 l
+110.184 90.486 l
+110.246 93.7764 l
+110.617 106.938 l
+110.679 103.648 l
+111.235 87.1956 l
+111.73 106.938 l
+111.792 103.648 l
+111.977 93.7764 l
+112.163 97.0668 l
+112.534 110.228 l
+112.596 106.938 l
+113.152 90.486 l
+113.585 100.357 l
+113.833 87.1956 l
+113.956 93.7764 l
+114.389 103.648 l
+114.513 97.0668 l
+114.637 103.648 l
+115.812 153.004 l
+116.183 146.423 l
+116.739 169.456 l
+116.801 166.165 l
+116.863 162.875 l
+117.049 166.165 l
+117.482 182.617 l
+117.543 179.327 l
+117.605 176.036 l
+117.729 182.617 l
+118.162 192.488 l
+118.224 189.198 l
+118.409 192.488 l
+118.78 199.069 l
+119.337 182.617 l
+119.708 189.198 l
+120.265 172.746 l
+120.45 176.036 l
+120.512 172.746 l
+120.821 162.875 l
+120.883 166.165 l
+121.44 182.617 l
+121.934 162.875 l
+121.996 166.165 l
+122.305 182.617 l
+122.491 179.327 l
+122.8 169.456 l
+122.862 172.746 l
+123.109 185.908 l
+123.295 182.617 l
+123.481 172.746 l
+123.604 179.327 l
+124.037 189.198 l
+124.099 185.908 l
+124.223 192.488 l
+124.965 218.812 l
+125.521 202.36 l
+125.583 205.65 l
+125.707 199.069 l
+126.016 189.198 l
+126.078 192.488 l
+126.14 195.779 l
+126.264 189.198 l
+126.325 185.908 l
+126.449 192.488 l
+126.511 195.779 l
+126.635 189.198 l
+126.944 179.327 l
+127.006 182.617 l
+127.129 189.198 l
+127.315 185.908 l
+127.377 182.617 l
+127.5 189.198 l
+127.933 199.069 l
+128.304 185.908 l
+128.366 189.198 l
+128.552 199.069 l
+128.676 192.488 l
+129.356 169.456 l
+129.789 179.327 l
+130.407 159.584 l
+130.716 162.875 l
+131.211 149.713 l
+131.273 153.004 l
+131.397 146.423 l
+131.644 139.842 l
+131.706 143.132 l
+131.768 146.423 l
+131.891 139.842 l
+132.386 126.68 l
+132.448 129.971 l
+132.572 123.39 l
+132.634 120.1 l
+132.819 123.39 l
+132.881 126.68 l
+133.005 120.1 l
+133.438 110.228 l
+133.685 116.809 l
+133.747 113.519 l
+133.87 106.938 l
+133.994 113.519 l
+134.427 123.39 l
+134.86 100.357 l
+134.984 106.938 l
+135.169 116.809 l
+135.355 113.519 l
+135.664 97.0668 l
+135.85 100.357 l
+136.53 123.39 l
+136.839 120.1 l
+137.272 136.552 l
+137.334 133.261 l
+137.952 113.519 l
+138.261 123.39 l
+138.323 120.1 l
+138.633 110.228 l
+138.694 113.519 l
+138.756 116.809 l
+138.88 110.228 l
+139.189 106.938 l
+139.622 123.39 l
+139.684 120.1 l
+140.302 100.357 l
+140.735 110.228 l
+140.921 100.357 l
+141.106 103.648 l
+141.539 113.519 l
+141.725 103.648 l
+141.848 110.228 l
+142.096 116.809 l
+142.158 113.519 l
+142.22 110.228 l
+142.343 116.809 l
+142.962 136.552 l
+143.456 123.39 l
+143.58 129.971 l
+143.766 126.68 l
+144.322 110.228 l
+144.57 116.809 l
+144.632 113.519 l
+145.312 90.486 l
+145.745 106.938 l
+145.807 103.648 l
+145.93 97.0668 l
+146.054 103.648 l
+146.425 110.228 l
+147.167 83.9052 l
+147.476 87.1956 l
+148.095 67.4532 l
+148.219 74.034 l
+148.404 70.7436 l
+148.466 67.4532 l
+148.59 74.034 l
+148.651 77.3244 l
+148.775 70.7436 l
+149.146 64.1628 l
+149.27 70.7436 l
+149.394 64.1628 l
+149.517 57.582 l
+149.641 64.1628 l
+149.765 70.7436 l
+149.888 64.1628 l
+150.136 57.582 l
+150.198 60.8724 l
+150.63 70.7436 l
+150.754 64.1628 l
+150.94 67.4532 l
+151.063 74.034 l
+151.187 67.4532 l
+151.434 60.8724 l
+151.496 64.1628 l
+151.558 67.4532 l
+151.682 60.8724 l
+151.744 57.582 l
+151.929 60.8724 l
+152.115 70.7436 l
+152.238 64.1628 l
+152.548 60.8724 l
+152.61 64.1628 l
+152.795 60.8724 l
+153.166 54.2916 l
+153.475 57.582 l
+153.661 54.2916 l
+153.723 57.582 l
+154.527 87.1956 l
+154.589 83.9052 l
+154.712 90.486 l
+155.207 103.648 l
+155.64 87.1956 l
+155.702 90.486 l
+155.887 100.357 l
+156.011 93.7764 l
+156.073 90.486 l
+156.197 97.0668 l
+156.382 100.357 l
+156.444 97.0668 l
+156.506 93.7764 l
+156.629 100.357 l
+157.001 113.519 l
+157.062 110.228 l
+157.186 103.648 l
+157.31 110.228 l
+157.743 120.1 l
+158.608 80.6148 l
+158.67 83.9052 l
+158.794 90.486 l
+158.918 83.9052 l
+159.165 77.3244 l
+159.227 80.6148 l
+159.474 87.1956 l
+159.536 83.9052 l
+159.722 80.6148 l
+159.784 83.9052 l
+160.464 120.1 l
+160.588 113.519 l
+160.897 110.228 l
+161.392 129.971 l
+161.453 126.68 l
+161.886 110.228 l
+161.948 113.519 l
+162.195 120.1 l
+162.257 116.809 l
+162.443 106.938 l
+162.567 113.519 l
+163.123 129.971 l
+163.309 126.68 l
+163.371 129.971 l
+163.803 139.842 l
+164.113 129.971 l
+164.175 133.261 l
+164.422 139.842 l
+164.484 136.552 l
+164.546 133.261 l
+164.731 136.552 l
+165.102 143.132 l
+165.535 133.261 l
+166.092 149.713 l
+166.586 136.552 l
+167.329 162.875 l
+167.39 159.584 l
+167.514 166.165 l
+168.009 179.327 l
+168.256 172.746 l
+168.318 176.036 l
+168.504 185.908 l
+168.627 179.327 l
+169.493 146.423 l
+169.741 153.004 l
+169.802 149.713 l
+170.112 146.423 l
+170.297 156.294 l
+170.483 153.004 l
+170.792 149.713 l
+170.916 156.294 l
+171.039 149.713 l
+171.41 129.971 l
+171.534 136.552 l
+172.153 156.294 l
+172.462 146.423 l
+172.524 149.713 l
+172.833 159.584 l
+172.895 156.294 l
+173.142 143.132 l
+173.328 146.423 l
+173.822 159.584 l
+174.193 153.004 l
+174.503 162.875 l
+174.564 159.584 l
+174.626 156.294 l
+174.75 162.875 l
+175.059 172.746 l
+175.121 169.456 l
+175.492 156.294 l
+175.554 159.584 l
+176.111 176.036 l
+176.172 172.746 l
+176.296 179.327 l
+176.358 182.617 l
+176.482 176.036 l
+176.976 156.294 l
+177.038 159.584 l
+177.1 162.875 l
+177.286 159.584 l
+177.471 149.713 l
+177.595 156.294 l
+177.966 162.875 l
+178.09 156.294 l
+178.275 159.584 l
+178.708 169.456 l
+178.894 166.165 l
+178.955 169.456 l
+179.327 182.617 l
+179.388 179.327 l
+179.512 172.746 l
+179.636 179.327 l
+179.698 182.617 l
+179.821 176.036 l
+179.945 169.456 l
+180.069 176.036 l
+180.131 179.327 l
+180.254 172.746 l
+180.316 169.456 l
+180.44 176.036 l
+180.873 185.908 l
+181.615 153.004 l
+181.677 156.294 l
+181.986 159.584 l
+182.295 149.713 l
+182.357 153.004 l
+182.914 169.456 l
+183.47 153.004 l
+183.965 166.165 l
+184.398 156.294 l
+184.522 162.875 l
+184.645 156.294 l
+184.893 149.713 l
+184.954 153.004 l
+185.202 159.584 l
+185.264 156.294 l
+185.635 149.713 l
+186.006 156.294 l
+186.377 149.713 l
+186.686 153.004 l
+186.995 149.713 l
+187.243 162.875 l
+187.366 156.294 l
+187.614 143.132 l
+187.737 149.713 l
+187.923 159.584 l
+188.109 156.294 l
+188.974 116.809 l
+189.036 120.1 l
+189.655 146.423 l
+189.717 143.132 l
+189.902 139.842 l
+189.964 143.132 l
+190.026 146.423 l
+190.211 143.132 l
+190.644 133.261 l
+190.953 136.552 l
+191.077 129.971 l
+191.201 136.552 l
+191.263 139.842 l
+191.448 136.552 l
+191.757 126.68 l
+191.819 129.971 l
+192.19 136.552 l
+192.5 133.261 l
+192.623 139.842 l
+192.747 133.261 l
+192.871 126.68 l
+192.994 133.261 l
+193.304 136.552 l
+193.984 113.519 l
+194.479 126.68 l
+194.788 123.39 l
+194.85 126.68 l
+194.973 120.1 l
+195.468 106.938 l
+195.654 116.809 l
+195.777 110.228 l
+196.334 93.7764 l
+196.396 97.0668 l
+196.519 90.486 l
+196.581 87.1956 l
+196.705 93.7764 l
+196.952 100.357 l
+197.014 97.0668 l
+197.323 93.7764 l
+197.385 97.0668 l
+197.571 93.7764 l
+197.633 90.486 l
+197.756 97.0668 l
+197.818 100.357 l
+197.942 93.7764 l
+198.993 51.0012 l
+199.488 64.1628 l
+199.55 60.8724 l
+199.674 67.4532 l
+199.735 70.7436 l
+199.859 64.1628 l
+200.354 51.0012 l
+200.663 54.2916 l
+200.91 47.7108 l
+200.972 51.0012 l
+201.591 70.7436 l
+201.653 67.4532 l
+201.776 74.034 l
+201.838 77.3244 l
+201.962 70.7436 l
+202.271 67.4532 l
+202.704 77.3244 l
+202.89 67.4532 l
+203.013 74.034 l
+203.322 77.3244 l
+203.941 57.582 l
+204.374 67.4532 l
+204.807 57.582 l
+205.178 70.7436 l
+205.24 67.4532 l
+205.425 57.582 l
+205.611 60.8724 l
+205.858 67.4532 l
+205.92 64.1628 l
+206.105 60.8724 l
+206.167 64.1628 l
+206.909 90.486 l
+207.528 70.7436 l
+208.332 100.357 l
+208.888 83.9052 l
+209.136 90.486 l
+209.198 87.1956 l
+209.631 77.3244 l
+210.002 83.9052 l
+210.62 64.1628 l
+210.991 77.3244 l
+211.053 74.034 l
+211.177 67.4532 l
+211.3 74.034 l
+211.362 77.3244 l
+211.548 74.034 l
+211.733 64.1628 l
+211.857 70.7436 l
+212.475 90.486 l
+212.723 83.9052 l
+212.785 87.1956 l
+213.279 100.357 l
+213.341 97.0668 l
+213.465 103.648 l
+213.774 106.938 l
+213.96 97.0668 l
+214.145 100.357 l
+214.207 103.648 l
+214.331 97.0668 l
+214.393 93.7764 l
+214.516 100.357 l
+214.578 103.648 l
+214.702 97.0668 l
+215.011 80.6148 l
+215.135 87.1956 l
+215.32 90.486 l
+215.382 87.1956 l
+215.444 83.9052 l
+215.568 90.486 l
+215.63 93.7764 l
+215.753 87.1956 l
+215.815 83.9052 l
+215.939 90.486 l
+216.186 97.0668 l
+216.248 93.7764 l
+216.619 87.1956 l
+216.805 90.486 l
+216.866 87.1956 l
+217.423 64.1628 l
+217.485 67.4532 l
+218.103 87.1956 l
+218.474 67.4532 l
+218.66 70.7436 l
+218.846 74.034 l
+218.907 70.7436 l
+218.969 67.4532 l
+219.093 74.034 l
+219.34 80.6148 l
+219.402 77.3244 l
+219.959 60.8724 l
+220.021 64.1628 l
+220.206 60.8724 l
+220.515 57.582 l
+220.639 64.1628 l
+220.825 60.8724 l
+221.319 41.13 l
+221.381 44.4204 l
+221.629 51.0012 l
+221.69 47.7108 l
+222.123 41.13 l
+222.371 44.4204 l
+222.433 41.13 l
+222.494 41.13 l
+222.804 47.7108 l
+222.865 44.4204 l
+223.237 41.13 l
+223.422 41.13 l
+224.04 60.8724 l
+224.164 54.2916 l
+224.288 60.8724 l
+224.597 70.7436 l
+224.659 67.4532 l
+224.844 64.1628 l
+224.906 67.4532 l
+225.216 70.7436 l
+225.463 64.1628 l
+225.525 67.4532 l
+225.834 77.3244 l
+225.896 74.034 l
+226.267 67.4532 l
+227.256 106.938 l
+227.628 100.357 l
+227.689 103.648 l
+227.813 97.0668 l
+228.308 83.9052 l
+228.493 93.7764 l
+228.679 90.486 l
+229.235 74.034 l
+229.978 100.357 l
+230.349 87.1956 l
+230.411 90.486 l
+230.782 97.0668 l
+230.905 90.486 l
+231.029 97.0668 l
+231.338 100.357 l
+231.4 97.0668 l
+231.524 103.648 l
+231.833 113.519 l
+231.895 110.228 l
+231.957 106.938 l
+232.08 113.519 l
+232.575 126.68 l
+233.008 110.228 l
+233.07 113.519 l
+233.441 120.1 l
+233.75 103.648 l
+233.874 110.228 l
+234.616 136.552 l
+234.987 123.39 l
+235.049 126.68 l
+235.42 133.261 l
+235.729 123.39 l
+235.791 126.68 l
+236.1 136.552 l
+236.162 133.261 l
+236.904 106.938 l
+237.213 116.809 l
+237.275 113.519 l
+237.708 97.0668 l
+237.77 100.357 l
+237.894 106.938 l
+238.017 100.357 l
+238.76 74.034 l
+239.316 90.486 l
+239.997 67.4532 l
+240.429 77.3244 l
+240.677 64.1628 l
+240.862 67.4532 l
+241.233 74.034 l
+241.295 70.7436 l
+241.419 77.3244 l
+241.914 90.486 l
+242.347 80.6148 l
+242.47 87.1956 l
+242.594 80.6148 l
+242.965 74.034 l
+243.027 77.3244 l
+243.212 74.034 l
+243.398 70.7436 l
+243.46 74.034 l
+243.645 83.9052 l
+243.769 77.3244 l
+244.078 74.034 l
+244.759 97.0668 l
+244.82 93.7764 l
+245.006 97.0668 l
+245.377 103.648 l
+245.686 100.357 l
+246.057 106.938 l
+246.367 97.0668 l
+246.428 100.357 l
+246.861 110.228 l
+246.923 106.938 l
+247.047 113.519 l
+247.171 120.1 l
+247.294 113.519 l
+247.356 110.228 l
+247.48 116.809 l
+247.975 136.552 l
+248.036 133.261 l
+248.222 123.39 l
+248.346 129.971 l
+248.407 133.261 l
+248.531 126.68 l
+249.088 110.228 l
+249.459 123.39 l
+249.521 120.1 l
+249.644 113.519 l
+249.768 120.1 l
+250.386 139.842 l
+250.819 129.971 l
+251.252 139.842 l
+251.933 116.809 l
+252.118 120.1 l
+252.18 116.809 l
+252.304 110.228 l
+252.427 116.809 l
+252.86 126.68 l
+252.984 120.1 l
+253.108 126.68 l
+253.417 129.971 l
+253.602 126.68 l
+253.664 129.971 l
+253.726 133.261 l
+253.85 126.68 l
+253.912 123.39 l
+254.097 126.68 l
+254.221 133.261 l
+254.406 129.971 l
+254.468 126.68 l
+254.654 129.971 l
+255.025 136.552 l
+255.087 133.261 l
+255.272 136.552 l
+255.829 153.004 l
+256.076 146.423 l
+256.138 149.713 l
+256.571 166.165 l
+256.633 162.875 l
+257.128 149.713 l
+257.251 156.294 l
+257.437 153.004 l
+257.993 136.552 l
+258.426 146.423 l
+258.921 133.261 l
+258.983 136.552 l
+259.107 129.971 l
+259.601 116.809 l
+259.911 120.1 l
+260.282 113.519 l
+260.591 123.39 l
+260.653 120.1 l
+261.086 110.228 l
+261.828 136.552 l
+261.89 133.261 l
+262.013 139.842 l
+262.075 143.132 l
+262.199 136.552 l
+262.446 129.971 l
+262.508 133.261 l
+262.941 143.132 l
+263.127 139.842 l
+263.188 143.132 l
+263.312 149.713 l
+263.498 146.423 l
+264.054 129.971 l
+264.425 136.552 l
+264.487 133.261 l
+264.611 139.842 l
+264.92 149.713 l
+264.982 146.423 l
+265.229 133.261 l
+265.415 136.552 l
+265.786 156.294 l
+265.91 149.713 l
+265.971 146.423 l
+266.095 153.004 l
+266.281 156.294 l
+266.342 153.004 l
+266.528 149.713 l
+266.59 153.004 l
+267.023 169.456 l
+267.085 166.165 l
+267.146 162.875 l
+267.27 169.456 l
+267.765 182.617 l
+268.136 176.036 l
+268.445 179.327 l
+268.507 176.036 l
+268.631 182.617 l
+269.125 195.779 l
+269.373 182.617 l
+269.497 189.198 l
+269.806 192.488 l
+270.115 189.198 l
+270.61 215.521 l
+270.795 212.231 l
+270.919 205.65 l
+271.043 212.231 l
+271.29 218.812 l
+271.352 215.521 l
+271.909 199.069 l
+272.341 208.94 l
+272.527 205.65 l
+272.589 208.94 l
+272.651 212.231 l
+272.774 205.65 l
+273.207 189.198 l
+273.269 192.488 l
+273.64 205.65 l
+273.702 202.36 l
+273.764 199.069 l
+273.888 205.65 l
+274.197 208.94 l
+274.506 205.65 l
+274.568 208.94 l
+274.753 205.65 l
+275.063 202.36 l
+275.496 212.231 l
+275.557 208.94 l
+275.681 215.521 l
+275.99 225.392 l
+276.052 222.102 l
+276.361 218.812 l
+276.732 225.392 l
+276.856 218.812 l
+276.98 225.392 l
+277.042 228.683 l
+277.165 222.102 l
+277.227 218.812 l
+277.413 222.102 l
+277.722 231.973 l
+277.784 228.683 l
+277.969 225.392 l
+278.031 228.683 l
+278.093 231.973 l
+278.279 228.683 l
+278.464 225.392 l
+278.526 228.683 l
+278.897 235.264 l
+279.33 225.392 l
+279.392 228.683 l
+279.515 222.102 l
+279.639 215.521 l
+279.825 218.812 l
+279.887 222.102 l
+280.01 215.521 l
+280.258 208.94 l
+280.319 212.231 l
+280.381 215.521 l
+280.567 212.231 l
+281 202.36 l
+281.495 215.521 l
+281.927 205.65 l
+282.36 215.521 l
+282.422 212.231 l
+282.546 218.812 l
+282.917 238.554 l
+283.041 231.973 l
+283.535 218.812 l
+284.401 251.716 l
+284.896 238.554 l
+285.267 245.135 l
+285.391 238.554 l
+285.576 241.844 l
+285.947 255.006 l
+286.009 251.716 l
+286.195 248.425 l
+286.257 251.716 l
+286.442 261.587 l
+286.628 258.296 l
+286.813 255.006 l
+286.875 258.296 l
+287.061 261.587 l
+287.122 258.296 l
+287.184 255.006 l
+287.37 258.296 l
+287.617 271.458 l
+287.741 264.877 l
+288.05 255.006 l
+288.112 258.296 l
+288.545 268.168 l
+288.978 258.296 l
+289.04 261.587 l
+289.163 255.006 l
+289.72 238.554 l
+289.782 241.844 l
+289.905 235.264 l
+290.215 225.392 l
+290.276 228.683 l
+290.833 245.135 l
+291.266 235.264 l
+291.637 241.844 l
+291.699 238.554 l
+291.884 241.844 l
+292.07 245.135 l
+292.132 241.844 l
+292.256 235.264 l
+292.379 241.844 l
+292.441 245.135 l
+292.565 238.554 l
+293.245 215.521 l
+293.492 228.683 l
+293.616 222.102 l
+294.173 205.65 l
+294.606 215.521 l
+294.791 205.65 l
+294.915 212.231 l
+294.977 215.521 l
+295.162 212.231 l
+295.348 202.36 l
+295.533 205.65 l
+295.719 208.94 l
+295.781 205.65 l
+295.966 202.36 l
+296.028 205.65 l
+296.461 215.521 l
+296.585 208.94 l
+296.708 215.521 l
+297.079 222.102 l
+297.451 215.521 l
+297.883 225.392 l
+297.945 222.102 l
+298.069 228.683 l
+298.316 235.264 l
+298.378 231.973 l
+298.44 228.683 l
+298.564 235.264 l
+298.626 238.554 l
+298.811 235.264 l
+298.997 231.973 l
+299.058 235.264 l
+299.12 238.554 l
+299.244 231.973 l
+299.615 225.392 l
+299.924 228.683 l
+300.234 218.812 l
+300.295 222.102 l
+300.666 235.264 l
+300.728 231.973 l
+301.47 205.65 l
+301.532 208.94 l
+301.656 202.36 l
+301.903 195.779 l
+301.965 199.069 l
+302.398 208.94 l
+302.893 195.779 l
+303.326 205.65 l
+303.511 202.36 l
+303.573 205.65 l
+303.635 208.94 l
+303.759 202.36 l
+304.253 189.198 l
+304.315 192.488 l
+304.439 185.908 l
+304.748 176.036 l
+304.81 179.327 l
+305.49 202.36 l
+305.985 189.198 l
+306.913 231.973 l
+306.975 228.683 l
+307.593 208.94 l
+307.84 222.102 l
+308.026 218.812 l
+308.521 205.65 l
+308.644 212.231 l
+308.768 205.65 l
+309.201 195.779 l
+309.572 202.36 l
+310.005 192.488 l
+310.067 195.779 l
+310.191 189.198 l
+310.252 185.908 l
+310.438 189.198 l
+310.562 195.779 l
+310.685 189.198 l
+311.056 182.617 l
+311.489 192.488 l
+311.551 189.198 l
+311.675 195.779 l
+312.108 205.65 l
+312.231 199.069 l
+312.355 205.65 l
+312.85 225.392 l
+312.912 222.102 l
+313.407 202.36 l
+313.468 205.65 l
+313.839 212.231 l
+314.334 199.069 l
+314.891 215.521 l
+315.262 195.779 l
+315.386 202.36 l
+315.633 208.94 l
+315.695 205.65 l
+315.88 202.36 l
+315.942 205.65 l
+316.004 208.94 l
+316.19 205.65 l
+316.251 202.36 l
+316.375 208.94 l
+316.746 222.102 l
+316.808 218.812 l
+317.365 202.36 l
+317.488 208.94 l
+317.612 202.36 l
+317.674 199.069 l
+317.798 205.65 l
+318.169 212.231 l
+318.354 202.36 l
+318.478 208.94 l
+318.787 218.812 l
+318.849 215.521 l
+319.22 208.94 l
+319.591 222.102 l
+319.653 218.812 l
+319.715 215.521 l
+319.838 222.102 l
+320.395 238.554 l
+320.457 235.264 l
+320.581 241.844 l
+320.952 248.425 l
+321.446 235.264 l
+321.57 241.844 l
+321.756 238.554 l
+321.817 235.264 l
+321.941 241.844 l
+322.56 261.587 l
+322.621 258.296 l
+322.745 264.877 l
+322.807 268.168 l
+322.931 261.587 l
+323.302 241.844 l
+323.487 245.135 l
+323.858 258.296 l
+323.92 255.006 l
+324.291 241.844 l
+324.353 245.135 l
+324.415 248.425 l
+324.539 241.844 l
+324.91 235.264 l
+325.528 255.006 l
+325.837 238.554 l
+325.961 245.135 l
+326.456 258.296 l
+326.889 241.844 l
+326.951 245.135 l
+327.569 264.877 l
+327.631 261.587 l
+327.755 268.168 l
+328.064 271.458 l
+328.249 268.168 l
+328.311 271.458 l
+328.373 274.748 l
+328.497 268.168 l
+328.868 261.587 l
+328.991 268.168 l
+329.177 264.877 l
+329.734 248.425 l
+330.105 255.006 l
+330.29 251.716 l
+330.352 255.006 l
+330.661 258.296 l
+330.909 251.716 l
+330.971 255.006 l
+331.465 268.168 l
+331.713 261.587 l
+331.774 264.877 l
+332.517 297.781 l
+332.578 294.491 l
+332.64 291.2 l
+332.764 297.781 l
+333.197 307.652 l
+333.259 304.362 l
+333.444 307.652 l
+333.877 324.104 l
+333.939 320.814 l
+334.31 301.072 l
+334.434 307.652 l
+334.929 320.814 l
+335.052 314.233 l
+335.176 320.814 l
+335.238 324.104 l
+335.423 320.814 l
+335.733 304.362 l
+335.856 310.943 l
+335.98 317.524 l
+336.104 310.943 l
+336.413 301.072 l
+336.475 304.362 l
+336.969 317.524 l
+337.279 314.233 l
+337.588 324.104 l
+337.65 320.814 l
+338.021 314.233 l
+338.083 317.524 l
+338.206 310.943 l
+338.701 297.781 l
+339.381 320.814 l
+339.567 310.943 l
+339.752 314.233 l
+339.938 324.104 l
+340.062 317.524 l
+340.495 307.652 l
+340.618 314.233 l
+340.742 307.652 l
+340.928 297.781 l
+341.051 304.362 l
+341.175 310.943 l
+341.36 307.652 l
+341.855 294.491 l
+341.917 297.781 l
+342.041 291.2 l
+342.536 278.039 l
+342.845 287.91 l
+342.907 284.62 l
+342.968 281.329 l
+343.092 287.91 l
+343.401 297.781 l
+343.463 294.491 l
+343.525 291.2 l
+343.649 297.781 l
+344.267 317.524 l
+344.329 314.233 l
+344.453 320.814 l
+344.576 327.395 l
+344.7 320.814 l
+344.947 307.652 l
+345.133 310.943 l
+345.442 314.233 l
+345.504 310.943 l
+345.628 317.524 l
+345.875 324.104 l
+345.937 320.814 l
+346.494 304.362 l
+346.679 314.233 l
+346.865 310.943 l
+346.988 304.362 l
+347.174 307.652 l
+347.669 320.814 l
+347.792 314.233 l
+347.916 320.814 l
+348.72 350.428 l
+348.782 347.137 l
+348.967 350.428 l
+349.586 370.17 l
+349.586 370.17 l
+stroke
+grestore
+0.000 0.500 0.000 setrgbcolor
+gsave
+556.6 329 89.77 41.13 clipbox
+89.775 205.65 m
+89.8368 208.94 l
+90.0842 208.94 l
+90.2079 202.36 l
+90.3316 208.94 l
+90.8264 222.102 l
+91.5067 192.488 l
+91.5685 195.779 l
+91.8159 202.36 l
+91.8777 199.069 l
+91.9396 195.779 l
+92.0633 202.36 l
+92.1251 205.65 l
+92.2488 199.069 l
+92.558 195.779 l
+92.8672 199.069 l
+93.3002 182.617 l
+93.362 185.908 l
+93.5475 189.198 l
+93.6094 185.908 l
+94.1041 166.165 l
+94.166 169.456 l
+94.4134 176.036 l
+94.4752 172.746 l
+94.7226 166.165 l
+94.7844 169.456 l
+95.341 192.488 l
+95.4029 189.198 l
+95.5266 182.617 l
+95.6503 189.198 l
+95.8358 199.069 l
+96.0213 195.779 l
+96.6398 169.456 l
+96.7016 172.746 l
+96.949 179.327 l
+97.0109 176.036 l
+97.0727 172.746 l
+97.2582 176.036 l
+97.6912 185.908 l
+97.753 182.617 l
+97.8767 189.198 l
+98.3715 202.36 l
+98.4951 195.779 l
+98.6188 202.36 l
+98.9281 205.65 l
+98.9899 202.36 l
+99.1754 205.65 l
+99.7939 231.973 l
+99.8557 228.683 l
+100.289 218.812 l
+100.35 222.102 l
+100.474 215.521 l
+100.783 205.65 l
+100.845 208.94 l
+101.154 212.231 l
+101.526 205.65 l
+101.649 212.231 l
+101.773 205.65 l
+101.835 202.36 l
+101.958 208.94 l
+102.144 218.812 l
+102.268 212.231 l
+102.762 199.069 l
+103.072 202.36 l
+103.443 195.779 l
+103.566 202.36 l
+103.752 199.069 l
+104.061 195.779 l
+104.185 202.36 l
+104.309 195.779 l
+104.741 179.327 l
+104.803 182.617 l
+104.865 185.908 l
+104.989 179.327 l
+105.298 176.036 l
+105.607 185.908 l
+105.669 182.617 l
+105.793 176.036 l
+105.978 179.327 l
+106.349 192.488 l
+106.411 189.198 l
+106.597 179.327 l
+106.721 185.908 l
+106.782 189.198 l
+106.906 182.617 l
+107.463 166.165 l
+107.896 176.036 l
+107.957 172.746 l
+108.081 179.327 l
+108.143 182.617 l
+108.267 176.036 l
+108.328 172.746 l
+108.514 176.036 l
+108.7 179.327 l
+108.761 176.036 l
+109.442 153.004 l
+109.875 162.875 l
+110.246 156.294 l
+110.74 169.456 l
+110.926 166.165 l
+110.988 169.456 l
+111.421 179.327 l
+111.606 176.036 l
+111.668 179.327 l
+111.916 192.488 l
+112.101 189.198 l
+112.781 159.584 l
+112.843 162.875 l
+113.276 172.746 l
+113.338 169.456 l
+113.462 176.036 l
+113.895 185.908 l
+114.204 182.617 l
+114.575 195.779 l
+114.637 192.488 l
+115.008 185.908 l
+115.441 195.779 l
+115.688 189.198 l
+115.75 192.488 l
+115.874 199.069 l
+115.997 192.488 l
+116.307 182.617 l
+116.368 185.908 l
+116.616 192.488 l
+116.678 189.198 l
+116.863 179.327 l
+116.987 185.908 l
+117.42 202.36 l
+117.482 199.069 l
+117.543 195.779 l
+117.729 199.069 l
+117.853 205.65 l
+118.038 202.36 l
+118.471 192.488 l
+118.904 208.94 l
+118.966 205.65 l
+119.028 202.36 l
+119.213 205.65 l
+119.584 212.231 l
+119.955 192.488 l
+120.079 199.069 l
+120.326 212.231 l
+120.45 205.65 l
+120.512 202.36 l
+120.636 208.94 l
+120.697 212.231 l
+120.821 205.65 l
+121.378 189.198 l
+121.625 195.779 l
+121.687 192.488 l
+121.934 185.908 l
+121.996 189.198 l
+122.305 192.488 l
+122.615 176.036 l
+122.738 182.617 l
+123.109 189.198 l
+123.419 179.327 l
+123.481 182.617 l
+123.542 185.908 l
+123.728 182.617 l
+123.975 176.036 l
+124.037 179.327 l
+124.099 182.617 l
+124.223 176.036 l
+124.903 153.004 l
+125.274 159.584 l
+125.398 153.004 l
+125.521 159.584 l
+126.078 176.036 l
+126.14 172.746 l
+126.264 179.327 l
+126.635 192.488 l
+126.696 189.198 l
+126.758 185.908 l
+126.882 192.488 l
+127.562 215.521 l
+127.81 208.94 l
+127.872 212.231 l
+128.676 241.844 l
+128.923 228.683 l
+129.047 235.264 l
+129.479 245.135 l
+129.541 241.844 l
+129.665 248.425 l
+130.098 258.296 l
+130.16 255.006 l
+130.345 258.296 l
+131.087 284.62 l
+131.335 271.458 l
+131.459 278.039 l
+131.953 291.2 l
+132.077 284.62 l
+132.263 287.91 l
+132.324 291.2 l
+132.448 284.62 l
+132.51 281.329 l
+132.634 287.91 l
+132.943 297.781 l
+133.005 294.491 l
+133.561 278.039 l
+133.747 287.91 l
+133.87 281.329 l
+134.242 274.748 l
+134.427 278.039 l
+134.489 274.748 l
+134.86 261.587 l
+134.922 264.877 l
+135.54 284.62 l
+135.602 281.329 l
+135.788 284.62 l
+135.85 287.91 l
+135.973 281.329 l
+136.035 278.039 l
+136.221 281.329 l
+136.654 291.2 l
+137.519 258.296 l
+137.89 264.877 l
+138.261 258.296 l
+138.509 264.877 l
+138.571 261.587 l
+138.633 258.296 l
+138.756 264.877 l
+138.818 268.168 l
+138.942 261.587 l
+139.251 251.716 l
+139.313 255.006 l
+139.56 261.587 l
+139.622 258.296 l
+139.808 255.006 l
+139.869 258.296 l
+140.117 264.877 l
+140.179 261.587 l
+140.612 238.554 l
+140.735 245.135 l
+141.539 274.748 l
+141.601 271.458 l
+141.725 278.039 l
+142.034 281.329 l
+142.467 271.458 l
+142.776 274.748 l
+143.209 264.877 l
+143.642 281.329 l
+143.704 278.039 l
+143.889 274.748 l
+143.951 278.039 l
+144.384 287.91 l
+144.57 278.039 l
+144.693 284.62 l
+144.755 287.91 l
+144.941 284.62 l
+145.003 281.329 l
+145.126 287.91 l
+145.435 291.2 l
+145.93 278.039 l
+146.116 287.91 l
+146.239 281.329 l
+146.425 271.458 l
+146.611 274.748 l
+147.043 291.2 l
+147.105 287.91 l
+147.167 284.62 l
+147.291 291.2 l
+147.909 310.943 l
+148.219 294.491 l
+148.404 297.781 l
+148.899 310.943 l
+149.332 301.072 l
+149.517 304.362 l
+149.579 301.072 l
+149.703 294.491 l
+149.888 297.781 l
+150.259 304.362 l
+150.816 281.329 l
+150.878 284.62 l
+151.249 297.781 l
+151.311 294.491 l
+151.558 287.91 l
+151.62 291.2 l
+151.682 294.491 l
+151.806 287.91 l
+151.929 281.329 l
+152.053 287.91 l
+152.3 294.491 l
+152.362 291.2 l
+152.671 274.748 l
+152.857 278.039 l
+153.228 284.62 l
+153.599 278.039 l
+153.97 284.62 l
+154.279 281.329 l
+154.465 284.62 l
+154.527 281.329 l
+154.589 278.039 l
+154.712 284.62 l
+154.774 287.91 l
+154.898 281.329 l
+155.207 271.458 l
+155.269 274.748 l
+155.516 281.329 l
+155.578 278.039 l
+156.135 261.587 l
+156.258 268.168 l
+156.382 261.587 l
+156.629 248.425 l
+156.753 255.006 l
+156.815 258.296 l
+156.939 251.716 l
+157.31 245.135 l
+157.557 258.296 l
+157.681 251.716 l
+158.052 245.135 l
+158.114 248.425 l
+158.299 245.135 l
+158.67 238.554 l
+158.856 248.425 l
+158.98 241.844 l
+159.289 231.973 l
+159.351 235.264 l
+159.474 241.844 l
+159.598 235.264 l
+160.031 225.392 l
+160.773 251.716 l
+161.144 245.135 l
+161.453 255.006 l
+161.515 251.716 l
+161.577 248.425 l
+161.763 251.716 l
+161.948 255.006 l
+162.01 251.716 l
+162.567 235.264 l
+162.628 238.554 l
+162.752 231.973 l
+162.876 225.392 l
+163.061 228.683 l
+163.494 238.554 l
+163.865 231.973 l
+164.236 238.554 l
+164.484 231.973 l
+164.546 235.264 l
+164.669 241.844 l
+164.793 235.264 l
+164.855 231.973 l
+164.979 238.554 l
+165.35 245.135 l
+165.844 231.973 l
+166.586 258.296 l
+166.648 255.006 l
+166.834 258.296 l
+166.896 261.587 l
+167.019 255.006 l
+167.329 238.554 l
+167.514 241.844 l
+168.256 268.168 l
+168.318 264.877 l
+168.442 271.458 l
+168.627 281.329 l
+168.751 274.748 l
+168.813 271.458 l
+168.937 278.039 l
+169.308 284.62 l
+169.555 278.039 l
+169.617 281.329 l
+170.235 301.072 l
+170.421 297.781 l
+170.483 301.072 l
+170.545 304.362 l
+170.668 297.781 l
+171.287 278.039 l
+171.596 287.91 l
+171.658 284.62 l
+172.091 274.748 l
+172.153 278.039 l
+172.338 274.748 l
+172.462 268.168 l
+172.647 271.458 l
+173.018 278.039 l
+173.204 268.168 l
+173.328 274.748 l
+173.451 281.329 l
+173.575 274.748 l
+174.132 258.296 l
+174.193 261.587 l
+174.317 255.006 l
+174.379 251.716 l
+174.564 255.006 l
+174.874 264.877 l
+174.936 261.587 l
+175.059 255.006 l
+175.183 261.587 l
+175.245 264.877 l
+175.43 261.587 l
+175.863 238.554 l
+175.987 245.135 l
+176.605 264.877 l
+177.162 248.425 l
+177.286 255.006 l
+177.471 251.716 l
+177.719 245.135 l
+177.78 248.425 l
+177.966 251.716 l
+178.028 248.425 l
+178.275 241.844 l
+178.337 245.135 l
+178.832 258.296 l
+178.894 255.006 l
+179.017 261.587 l
+179.079 264.877 l
+179.265 261.587 l
+179.327 258.296 l
+179.512 261.587 l
+179.759 268.168 l
+179.821 264.877 l
+180.44 245.135 l
+180.502 248.425 l
+180.687 245.135 l
+180.935 238.554 l
+180.996 241.844 l
+181.058 245.135 l
+181.182 238.554 l
+181.244 235.264 l
+181.429 238.554 l
+181.491 241.844 l
+181.615 235.264 l
+181.677 231.973 l
+181.862 235.264 l
+182.048 245.135 l
+182.171 238.554 l
+182.666 225.392 l
+182.975 228.683 l
+183.223 215.521 l
+183.408 218.812 l
+183.903 231.973 l
+184.336 222.102 l
+184.831 235.264 l
+184.893 231.973 l
+185.016 238.554 l
+185.573 255.006 l
+185.82 248.425 l
+185.882 251.716 l
+185.944 255.006 l
+186.068 248.425 l
+186.377 245.135 l
+186.501 251.716 l
+186.624 245.135 l
+187.923 189.198 l
+188.541 208.94 l
+188.665 202.36 l
+188.851 205.65 l
+189.036 208.94 l
+189.098 205.65 l
+189.407 195.779 l
+189.469 199.069 l
+189.717 205.65 l
+189.778 202.36 l
+190.211 185.908 l
+190.273 189.198 l
+190.335 192.488 l
+190.459 185.908 l
+190.768 182.617 l
+191.015 195.779 l
+191.139 189.198 l
+191.819 166.165 l
+191.881 169.456 l
+192.005 162.875 l
+192.067 159.584 l
+192.19 166.165 l
+192.252 169.456 l
+192.438 166.165 l
+192.561 159.584 l
+192.685 166.165 l
+192.932 172.746 l
+192.994 169.456 l
+193.056 166.165 l
+193.18 172.746 l
+193.242 176.036 l
+193.365 169.456 l
+193.613 162.875 l
+193.675 166.165 l
+193.86 176.036 l
+194.046 172.746 l
+194.602 156.294 l
+194.911 159.584 l
+195.283 146.423 l
+195.344 149.713 l
+195.654 159.584 l
+195.715 156.294 l
+195.963 149.713 l
+196.025 153.004 l
+196.272 159.584 l
+196.334 156.294 l
+196.396 153.004 l
+196.519 159.584 l
+196.952 169.456 l
+197.509 153.004 l
+197.818 156.294 l
+198.251 146.423 l
+198.56 156.294 l
+198.622 153.004 l
+198.993 146.423 l
+199.364 159.584 l
+199.426 156.294 l
+199.797 149.713 l
+199.921 156.294 l
+200.106 153.004 l
+200.354 139.842 l
+200.478 146.423 l
+200.725 153.004 l
+200.787 149.713 l
+201.22 139.842 l
+201.405 143.132 l
+201.467 139.842 l
+201.776 129.971 l
+201.838 133.261 l
+202.271 149.713 l
+202.333 146.423 l
+202.518 136.552 l
+202.704 139.842 l
+203.199 153.004 l
+203.57 146.423 l
+203.941 153.004 l
+204.312 139.842 l
+204.374 143.132 l
+204.436 146.423 l
+204.559 139.842 l
+204.992 129.971 l
+205.054 133.261 l
+205.24 129.971 l
+205.92 106.938 l
+205.982 110.228 l
+206.105 103.648 l
+206.6 90.486 l
+207.281 113.519 l
+207.342 110.228 l
+207.528 113.519 l
+207.59 116.809 l
+207.713 110.228 l
+207.775 106.938 l
+207.961 110.228 l
+208.641 133.261 l
+209.012 126.68 l
+209.074 129.971 l
+209.198 123.39 l
+209.445 116.809 l
+209.507 120.1 l
+209.569 123.39 l
+209.692 116.809 l
+210.064 110.228 l
+210.496 120.1 l
+211.053 103.648 l
+211.424 110.228 l
+212.043 90.486 l
+212.29 103.648 l
+212.414 97.0668 l
+212.908 83.9052 l
+213.279 90.486 l
+213.712 80.6148 l
+213.96 93.7764 l
+214.083 87.1956 l
+214.516 70.7436 l
+214.578 74.034 l
+214.887 83.9052 l
+214.949 80.6148 l
+215.073 74.034 l
+215.197 80.6148 l
+215.32 87.1956 l
+215.506 83.9052 l
+215.691 74.034 l
+215.815 80.6148 l
+216.186 93.7764 l
+216.248 90.486 l
+216.372 83.9052 l
+216.557 87.1956 l
+216.743 90.486 l
+216.805 87.1956 l
+217.238 77.3244 l
+217.299 80.6148 l
+217.423 74.034 l
+218.042 54.2916 l
+218.103 57.582 l
+218.289 54.2916 l
+218.351 51.0012 l
+218.474 57.582 l
+218.846 64.1628 l
+219.155 54.2916 l
+219.217 57.582 l
+219.278 60.8724 l
+219.402 54.2916 l
+219.959 41.13 l
+220.021 41.13 l
+220.392 54.2916 l
+220.453 51.0012 l
+220.515 47.7108 l
+220.639 54.2916 l
+220.886 60.8724 l
+220.948 57.582 l
+221.381 47.7108 l
+221.443 51.0012 l
+221.629 47.7108 l
+221.69 44.4204 l
+221.814 51.0012 l
+222.556 77.3244 l
+222.742 74.034 l
+222.804 77.3244 l
+223.731 113.519 l
+223.979 106.938 l
+224.04 110.228 l
+224.412 116.809 l
+224.844 100.357 l
+224.906 103.648 l
+224.968 106.938 l
+225.154 103.648 l
+225.216 100.357 l
+225.339 106.938 l
+225.401 110.228 l
+225.587 106.938 l
+225.834 93.7764 l
+226.02 97.0668 l
+226.824 126.68 l
+227.256 116.809 l
+227.318 120.1 l
+227.442 113.519 l
+227.566 106.938 l
+227.751 110.228 l
+228.184 126.68 l
+228.246 123.39 l
+228.308 120.1 l
+228.431 126.68 l
+229.112 149.713 l
+229.235 143.132 l
+229.359 149.713 l
+229.73 156.294 l
+230.101 149.713 l
+230.163 153.004 l
+230.287 146.423 l
+230.72 136.552 l
+231.153 153.004 l
+231.215 149.713 l
+231.276 146.423 l
+231.462 149.713 l
+232.08 169.456 l
+232.142 166.165 l
+232.328 169.456 l
+232.699 176.036 l
+233.255 159.584 l
+233.441 162.875 l
+233.503 159.584 l
+233.874 146.423 l
+233.936 149.713 l
+234.245 153.004 l
+234.678 136.552 l
+234.74 139.842 l
+235.049 149.713 l
+235.111 146.423 l
+235.606 133.261 l
+235.915 136.552 l
+236.348 126.68 l
+236.657 129.971 l
+236.719 126.68 l
+236.842 133.261 l
+237.09 139.842 l
+237.152 136.552 l
+237.461 133.261 l
+237.77 136.552 l
+237.956 126.68 l
+238.141 129.971 l
+238.327 139.842 l
+238.512 136.552 l
+238.821 133.261 l
+238.945 139.842 l
+239.131 136.552 l
+239.378 129.971 l
+239.44 133.261 l
+239.502 136.552 l
+239.687 133.261 l
+239.873 123.39 l
+240.058 126.68 l
+240.12 129.971 l
+240.244 123.39 l
+240.368 116.809 l
+240.553 120.1 l
+240.615 123.39 l
+240.8 120.1 l
+240.862 116.809 l
+241.048 120.1 l
+241.481 129.971 l
+241.543 126.68 l
+241.728 129.971 l
+242.161 146.423 l
+242.223 143.132 l
+242.78 126.68 l
+243.089 129.971 l
+243.46 123.39 l
+243.893 133.261 l
+244.016 126.68 l
+244.14 133.261 l
+244.202 136.552 l
+244.326 129.971 l
+244.449 123.39 l
+244.573 129.971 l
+244.82 136.552 l
+244.882 133.261 l
+245.006 126.68 l
+245.191 129.971 l
+245.81 149.713 l
+246.181 143.132 l
+246.614 153.004 l
+246.676 149.713 l
+246.799 156.294 l
+247.171 162.875 l
+247.232 159.584 l
+247.356 166.165 l
+247.727 172.746 l
+247.789 169.456 l
+247.913 176.036 l
+248.531 195.779 l
+248.84 192.488 l
+248.902 195.779 l
+249.026 189.198 l
+249.088 185.908 l
+249.273 189.198 l
+249.335 192.488 l
+249.521 189.198 l
+249.582 185.908 l
+249.768 189.198 l
+249.83 192.488 l
+250.015 189.198 l
+250.819 159.584 l
+250.881 162.875 l
+251.067 159.584 l
+251.5 143.132 l
+251.562 146.423 l
+251.623 149.713 l
+251.747 143.132 l
+251.933 139.842 l
+251.994 143.132 l
+252.304 146.423 l
+252.613 136.552 l
+252.675 139.842 l
+252.984 156.294 l
+253.108 149.713 l
+253.293 146.423 l
+253.355 149.713 l
+253.664 166.165 l
+253.788 159.584 l
+253.85 156.294 l
+254.035 159.584 l
+254.097 162.875 l
+254.221 156.294 l
+254.345 149.713 l
+254.468 156.294 l
+254.592 162.875 l
+254.777 159.584 l
+255.272 146.423 l
+255.334 149.713 l
+255.52 146.423 l
+255.767 139.842 l
+255.829 143.132 l
+256.262 153.004 l
+256.571 143.132 l
+256.633 146.423 l
+256.695 149.713 l
+256.88 146.423 l
+256.942 143.132 l
+257.128 146.423 l
+257.313 149.713 l
+257.375 146.423 l
+258.055 123.39 l
+258.612 139.842 l
+258.983 133.261 l
+259.107 139.842 l
+259.292 136.552 l
+259.54 129.971 l
+259.601 133.261 l
+259.663 136.552 l
+259.787 129.971 l
+259.911 123.39 l
+260.096 126.68 l
+260.158 129.971 l
+260.282 123.39 l
+260.529 116.809 l
+260.591 120.1 l
+261.209 146.423 l
+261.271 143.132 l
+261.89 123.39 l
+262.323 133.261 l
+262.508 129.971 l
+262.57 133.261 l
+262.941 139.842 l
+263.188 126.68 l
+263.374 129.971 l
+263.745 136.552 l
+264.054 133.261 l
+264.425 139.842 l
+264.796 133.261 l
+264.858 136.552 l
+264.982 129.971 l
+265.291 126.68 l
+265.353 129.971 l
+265.477 123.39 l
+265.538 120.1 l
+265.724 123.39 l
+265.91 133.261 l
+266.095 129.971 l
+266.157 126.68 l
+266.281 133.261 l
+266.528 139.842 l
+266.59 136.552 l
+266.899 133.261 l
+267.146 146.423 l
+267.332 143.132 l
+267.95 123.39 l
+268.445 136.552 l
+269.002 120.1 l
+269.249 126.68 l
+269.311 123.39 l
+269.744 113.519 l
+269.806 116.809 l
+269.929 110.228 l
+270.486 93.7764 l
+270.919 103.648 l
+271.29 97.0668 l
+271.537 103.648 l
+271.599 100.357 l
+271.909 97.0668 l
+272.032 103.648 l
+272.156 97.0668 l
+272.465 87.1956 l
+272.527 90.486 l
+272.836 93.7764 l
+273.145 77.3244 l
+273.331 80.6148 l
+273.516 90.486 l
+273.702 87.1956 l
+274.073 80.6148 l
+274.506 97.0668 l
+274.568 93.7764 l
+274.692 87.1956 l
+274.815 93.7764 l
+275.248 103.648 l
+275.805 87.1956 l
+276.052 93.7764 l
+276.114 90.486 l
+276.732 70.7436 l
+277.227 90.486 l
+277.289 87.1956 l
+277.351 83.9052 l
+277.536 87.1956 l
+277.969 103.648 l
+278.031 100.357 l
+278.093 97.0668 l
+278.279 100.357 l
+278.34 103.648 l
+278.526 100.357 l
+278.65 93.7764 l
+278.773 100.357 l
+279.454 123.39 l
+279.515 120.1 l
+279.639 126.68 l
+279.825 136.552 l
+279.948 129.971 l
+280.443 116.809 l
+281.123 139.842 l
+281.371 133.261 l
+281.433 136.552 l
+281.742 146.423 l
+281.804 143.132 l
+282.051 136.552 l
+282.113 139.842 l
+282.237 146.423 l
+282.422 143.132 l
+283.041 123.39 l
+283.102 126.68 l
+283.226 120.1 l
+283.288 116.809 l
+283.412 123.39 l
+283.474 126.68 l
+283.659 123.39 l
+283.721 120.1 l
+283.845 126.68 l
+284.092 133.261 l
+284.154 129.971 l
+284.649 116.809 l
+284.772 123.39 l
+284.958 120.1 l
+285.329 106.938 l
+285.391 110.228 l
+285.947 126.68 l
+286.442 113.519 l
+286.937 126.68 l
+287.308 113.519 l
+287.37 116.809 l
+287.741 123.39 l
+287.926 120.1 l
+287.988 123.39 l
+288.669 146.423 l
+288.978 143.132 l
+289.225 156.294 l
+289.349 149.713 l
+289.596 143.132 l
+289.658 146.423 l
+289.782 153.004 l
+289.905 146.423 l
+290.462 123.39 l
+290.524 126.68 l
+290.586 129.971 l
+290.709 123.39 l
+291.266 106.938 l
+292.07 136.552 l
+292.503 126.68 l
+292.998 139.842 l
+293.307 136.552 l
+293.492 139.842 l
+293.554 136.552 l
+293.678 129.971 l
+293.863 133.261 l
+293.987 139.842 l
+294.111 133.261 l
+294.358 120.1 l
+294.544 123.39 l
+294.729 133.261 l
+294.853 126.68 l
+295.595 100.357 l
+296.275 129.971 l
+296.337 126.68 l
+296.647 123.39 l
+296.832 126.68 l
+296.894 123.39 l
+297.203 106.938 l
+297.389 110.228 l
+298.007 136.552 l
+298.069 133.261 l
+298.131 129.971 l
+298.254 136.552 l
+298.502 143.132 l
+298.564 139.842 l
+298.626 136.552 l
+298.749 143.132 l
+299.306 166.165 l
+299.368 162.875 l
+299.739 149.713 l
+299.801 153.004 l
+300.048 159.584 l
+300.11 156.294 l
+300.172 153.004 l
+300.295 159.584 l
+300.852 176.036 l
+301.532 153.004 l
+301.718 156.294 l
+301.78 153.004 l
+302.089 149.713 l
+302.151 153.004 l
+302.336 149.713 l
+302.46 143.132 l
+302.645 146.423 l
+302.769 153.004 l
+302.893 146.423 l
+303.078 136.552 l
+303.264 139.842 l
+303.697 149.713 l
+304.13 139.842 l
+304.439 149.713 l
+304.501 146.423 l
+304.81 136.552 l
+304.872 139.842 l
+305.305 149.713 l
+305.676 143.132 l
+306.171 162.875 l
+306.233 159.584 l
+306.604 153.004 l
+306.913 169.456 l
+307.036 162.875 l
+307.222 159.584 l
+307.284 162.875 l
+307.902 182.617 l
+307.964 179.327 l
+308.15 182.617 l
+308.335 185.908 l
+308.397 182.617 l
+308.583 172.746 l
+308.768 176.036 l
+308.954 185.908 l
+309.077 179.327 l
+309.139 176.036 l
+309.325 179.327 l
+309.634 189.198 l
+309.696 185.908 l
+310.067 172.746 l
+310.129 176.036 l
+310.747 195.779 l
+311.118 182.617 l
+311.18 185.908 l
+311.242 189.198 l
+311.427 185.908 l
+311.737 176.036 l
+311.799 179.327 l
+311.984 182.617 l
+312.046 179.327 l
+312.231 176.036 l
+312.293 179.327 l
+312.541 185.908 l
+312.603 182.617 l
+313.159 166.165 l
+313.345 169.456 l
+313.407 166.165 l
+313.53 159.584 l
+313.654 166.165 l
+313.778 172.746 l
+313.901 166.165 l
+314.211 162.875 l
+314.582 169.456 l
+315.076 156.294 l
+315.2 162.875 l
+315.386 159.584 l
+316.128 126.68 l
+316.19 129.971 l
+316.499 133.261 l
+316.684 123.39 l
+316.808 129.971 l
+317.303 149.713 l
+317.365 146.423 l
+317.736 133.261 l
+317.798 136.552 l
+318.169 143.132 l
+318.292 136.552 l
+318.416 143.132 l
+318.787 156.294 l
+318.849 153.004 l
+318.911 149.713 l
+319.096 153.004 l
+319.22 159.584 l
+319.344 153.004 l
+319.467 146.423 l
+319.653 149.713 l
+319.838 159.584 l
+319.962 153.004 l
+320.271 149.713 l
+320.395 156.294 l
+320.519 149.713 l
+320.952 133.261 l
+321.013 136.552 l
+321.075 139.842 l
+321.199 133.261 l
+321.261 129.971 l
+321.385 136.552 l
+322.003 156.294 l
+322.56 139.842 l
+323.054 159.584 l
+323.116 156.294 l
+323.425 146.423 l
+323.487 149.713 l
+323.549 153.004 l
+323.735 149.713 l
+324.044 139.842 l
+324.106 143.132 l
+324.415 153.004 l
+324.477 149.713 l
+324.539 146.423 l
+324.724 149.713 l
+325.033 153.004 l
+325.095 149.713 l
+325.219 156.294 l
+325.714 169.456 l
+326.394 146.423 l
+326.951 162.875 l
+327.136 159.584 l
+327.198 162.875 l
+327.445 176.036 l
+327.569 169.456 l
+327.631 166.165 l
+327.755 172.746 l
+327.94 176.036 l
+328.002 172.746 l
+328.064 169.456 l
+328.187 176.036 l
+328.559 182.617 l
+328.682 176.036 l
+328.806 182.617 l
+329.115 192.488 l
+329.177 189.198 l
+329.486 185.908 l
+329.548 189.198 l
+329.734 185.908 l
+329.919 182.617 l
+329.981 185.908 l
+330.043 189.198 l
+330.167 182.617 l
+330.29 176.036 l
+330.476 179.327 l
+330.847 185.908 l
+331.032 182.617 l
+331.094 185.908 l
+331.713 205.65 l
+332.146 195.779 l
+332.269 202.36 l
+332.393 195.779 l
+332.826 179.327 l
+332.888 182.617 l
+333.568 205.65 l
+333.692 199.069 l
+333.815 205.65 l
+334.186 212.231 l
+334.681 199.069 l
+334.929 212.231 l
+335.052 205.65 l
+335.485 195.779 l
+335.671 205.65 l
+335.794 199.069 l
+335.856 195.779 l
+335.98 202.36 l
+336.042 205.65 l
+336.165 199.069 l
+336.846 176.036 l
+337.217 182.617 l
+337.402 179.327 l
+337.464 182.617 l
+337.959 202.36 l
+338.021 199.069 l
+338.454 189.198 l
+338.639 192.488 l
+338.701 189.198 l
+339.134 179.327 l
+339.629 192.488 l
+339.814 182.617 l
+339.938 189.198 l
+340.124 199.069 l
+340.247 192.488 l
+340.618 185.908 l
+340.68 189.198 l
+340.804 182.617 l
+341.113 179.327 l
+341.484 192.488 l
+341.546 189.198 l
+341.855 185.908 l
+342.164 195.779 l
+342.226 192.488 l
+342.412 182.617 l
+342.536 189.198 l
+342.907 195.779 l
+343.278 189.198 l
+343.711 199.069 l
+343.772 195.779 l
+343.896 202.36 l
+343.958 205.65 l
+344.082 199.069 l
+344.576 179.327 l
+344.638 182.617 l
+344.7 185.908 l
+344.824 179.327 l
+345.442 159.584 l
+346.246 189.198 l
+346.432 179.327 l
+346.555 185.908 l
+346.617 189.198 l
+346.741 182.617 l
+346.927 179.327 l
+346.988 182.617 l
+347.05 185.908 l
+347.236 182.617 l
+347.607 176.036 l
+348.102 189.198 l
+348.225 182.617 l
+348.349 189.198 l
+348.473 195.779 l
+348.596 189.198 l
+349.029 179.327 l
+349.091 182.617 l
+349.215 176.036 l
+349.771 159.584 l
+349.833 162.875 l
+350.019 159.584 l
+350.452 149.713 l
+350.514 153.004 l
+350.699 149.713 l
+351.194 129.971 l
+351.256 133.261 l
+351.689 143.132 l
+351.998 133.261 l
+352.06 136.552 l
+352.183 143.132 l
+352.307 136.552 l
+352.678 129.971 l
+353.173 149.713 l
+353.235 146.423 l
+353.668 136.552 l
+353.729 139.842 l
+353.853 133.261 l
+354.348 120.1 l
+354.843 133.261 l
+355.214 120.1 l
+355.276 123.39 l
+355.647 129.971 l
+356.018 116.809 l
+356.08 120.1 l
+356.141 123.39 l
+356.265 116.809 l
+356.512 110.228 l
+356.574 113.519 l
+356.76 116.809 l
+356.822 113.519 l
+357.688 80.6148 l
+358.182 93.7764 l
+358.677 80.6148 l
+358.924 87.1956 l
+358.986 83.9052 l
+359.481 70.7436 l
+359.728 83.9052 l
+359.852 77.3244 l
+360.409 60.8724 l
+360.471 64.1628 l
+360.594 57.582 l
+360.903 54.2916 l
+361.275 67.4532 l
+361.336 64.1628 l
+361.769 54.2916 l
+362.14 67.4532 l
+362.202 64.1628 l
+362.264 60.8724 l
+362.388 67.4532 l
+362.883 80.6148 l
+363.377 67.4532 l
+363.501 74.034 l
+363.625 67.4532 l
+364.119 54.2916 l
+364.243 60.8724 l
+364.429 57.582 l
+364.923 44.4204 l
+365.233 47.7108 l
+365.294 44.4204 l
+365.418 51.0012 l
+365.48 54.2916 l
+365.604 47.7108 l
+365.666 44.4204 l
+365.789 51.0012 l
+366.47 80.6148 l
+366.531 77.3244 l
+366.717 67.4532 l
+366.841 74.034 l
+366.902 77.3244 l
+367.088 74.034 l
+367.645 57.582 l
+368.139 70.7436 l
+368.572 60.8724 l
+369.129 77.3244 l
+369.191 74.034 l
+369.314 80.6148 l
+369.438 87.1956 l
+369.624 83.9052 l
+369.871 77.3244 l
+369.933 80.6148 l
+370.057 87.1956 l
+370.18 80.6148 l
+370.551 67.4532 l
+370.613 70.7436 l
+370.675 74.034 l
+370.861 70.7436 l
+371.355 51.0012 l
+371.417 54.2916 l
+371.479 57.582 l
+371.603 51.0012 l
+372.097 41.13 l
+372.221 47.7108 l
+372.407 44.4204 l
+372.778 41.13 l
+373.025 47.7108 l
+373.087 44.4204 l
+373.396 41.13 l
+373.705 44.4204 l
+374.076 41.13 l
+374.571 54.2916 l
+374.695 47.7108 l
+374.819 54.2916 l
+374.942 60.8724 l
+375.066 54.2916 l
+375.128 51.0012 l
+375.252 57.582 l
+375.437 67.4532 l
+375.561 60.8724 l
+375.623 57.582 l
+375.746 64.1628 l
+376.179 74.034 l
+376.241 70.7436 l
+376.365 77.3244 l
+376.427 80.6148 l
+376.55 74.034 l
+377.045 60.8724 l
+377.416 67.4532 l
+377.54 60.8724 l
+377.725 64.1628 l
+378.406 87.1956 l
+379.024 67.4532 l
+379.086 70.7436 l
+379.271 67.4532 l
+379.457 57.582 l
+379.581 64.1628 l
+380.137 80.6148 l
+380.447 70.7436 l
+380.508 74.034 l
+380.694 83.9052 l
+380.818 77.3244 l
+381.25 67.4532 l
+381.312 70.7436 l
+381.498 67.4532 l
+381.56 64.1628 l
+381.683 70.7436 l
+381.931 77.3244 l
+381.993 74.034 l
+382.116 67.4532 l
+382.302 70.7436 l
+382.673 77.3244 l
+382.982 67.4532 l
+383.044 70.7436 l
+383.168 77.3244 l
+383.291 70.7436 l
+383.477 60.8724 l
+383.601 67.4532 l
+384.281 90.486 l
+384.405 83.9052 l
+384.528 90.486 l
+384.59 93.7764 l
+384.776 90.486 l
+385.023 77.3244 l
+385.209 80.6148 l
+385.456 87.1956 l
+385.518 83.9052 l
+385.58 80.6148 l
+385.703 87.1956 l
+386.013 97.0668 l
+386.074 93.7764 l
+386.384 83.9052 l
+386.445 87.1956 l
+386.569 93.7764 l
+386.755 90.486 l
+387.126 77.3244 l
+387.188 80.6148 l
+387.435 87.1956 l
+387.497 83.9052 l
+387.559 80.6148 l
+387.682 87.1956 l
+387.806 93.7764 l
+387.93 87.1956 l
+388.115 83.9052 l
+388.177 87.1956 l
+388.425 100.357 l
+388.548 93.7764 l
+388.672 87.1956 l
+388.857 90.486 l
+389.105 97.0668 l
+389.167 93.7764 l
+389.414 87.1956 l
+389.476 90.486 l
+389.538 93.7764 l
+389.661 87.1956 l
+390.032 80.6148 l
+390.094 83.9052 l
+390.28 80.6148 l
+390.713 70.7436 l
+391.269 87.1956 l
+391.393 80.6148 l
+391.517 87.1956 l
+391.826 90.486 l
+391.95 83.9052 l
+392.135 87.1956 l
+392.506 93.7764 l
+392.568 90.486 l
+392.692 97.0668 l
+392.815 103.648 l
+392.939 97.0668 l
+393.372 87.1956 l
+394.114 113.519 l
+394.423 110.228 l
+394.671 123.39 l
+394.795 116.809 l
+395.104 113.519 l
+395.537 129.971 l
+395.599 126.68 l
+396.279 103.648 l
+396.403 110.228 l
+396.588 106.938 l
+397.083 93.7764 l
+397.825 120.1 l
+398.134 116.809 l
+398.32 120.1 l
+398.382 116.809 l
+398.691 113.519 l
+398.814 120.1 l
+398.938 113.519 l
+399 110.228 l
+399.124 116.809 l
+399.433 120.1 l
+399.742 110.228 l
+399.804 113.519 l
+400.113 129.971 l
+400.237 123.39 l
+400.299 120.1 l
+400.422 126.68 l
+400.855 136.552 l
+401.288 126.68 l
+401.35 129.971 l
+401.474 123.39 l
+401.536 120.1 l
+401.721 123.39 l
+401.845 129.971 l
+402.03 126.68 l
+402.525 106.938 l
+402.587 110.228 l
+403.02 133.261 l
+403.205 129.971 l
+403.329 123.39 l
+403.453 129.971 l
+403.7 136.552 l
+403.762 133.261 l
+404.133 126.68 l
+404.566 136.552 l
+404.628 133.261 l
+404.752 139.842 l
+405.061 143.132 l
+405.617 126.68 l
+406.174 143.132 l
+406.483 126.68 l
+406.669 129.971 l
+406.978 146.423 l
+407.102 139.842 l
+407.287 129.971 l
+407.411 136.552 l
+407.596 139.842 l
+407.658 136.552 l
+407.72 133.261 l
+407.844 139.842 l
+408.339 153.004 l
+408.895 136.552 l
+409.699 166.165 l
+410.07 153.004 l
+410.132 156.294 l
+410.503 162.875 l
+410.627 156.294 l
+410.812 159.584 l
+411.245 169.456 l
+411.493 162.875 l
+411.555 166.165 l
+411.987 176.036 l
+412.297 166.165 l
+412.359 169.456 l
+412.482 176.036 l
+412.668 172.746 l
+413.101 162.875 l
+413.163 166.165 l
+413.286 159.584 l
+413.719 143.132 l
+413.781 146.423 l
+414.152 159.584 l
+414.214 156.294 l
+414.77 139.842 l
+414.956 143.132 l
+415.018 139.842 l
+415.451 129.971 l
+415.884 139.842 l
+416.44 123.39 l
+416.688 129.971 l
+416.75 126.68 l
+416.935 116.809 l
+417.121 120.1 l
+417.182 123.39 l
+417.306 116.809 l
+417.615 113.519 l
+417.925 116.809 l
+418.481 100.357 l
+418.79 103.648 l
+419.223 93.7764 l
+419.285 97.0668 l
+419.409 90.486 l
+419.718 87.1956 l
+420.089 100.357 l
+420.151 97.0668 l
+420.646 83.9052 l
+421.079 93.7764 l
+421.264 83.9052 l
+421.45 87.1956 l
+421.573 93.7764 l
+421.697 87.1956 l
+422.377 64.1628 l
+422.439 67.4532 l
+422.625 64.1628 l
+422.748 57.582 l
+422.934 60.8724 l
+422.996 64.1628 l
+423.12 57.582 l
+423.243 51.0012 l
+423.367 57.582 l
+423.429 60.8724 l
+423.552 54.2916 l
+423.738 51.0012 l
+423.8 54.2916 l
+423.862 57.582 l
+423.985 51.0012 l
+424.047 47.7108 l
+424.171 54.2916 l
+424.728 77.3244 l
+424.789 74.034 l
+425.037 67.4532 l
+425.099 70.7436 l
+425.16 74.034 l
+425.346 70.7436 l
+425.655 67.4532 l
+426.026 80.6148 l
+426.088 77.3244 l
+426.212 70.7436 l
+426.335 77.3244 l
+426.397 80.6148 l
+426.521 74.034 l
+426.892 67.4532 l
+427.201 77.3244 l
+427.263 74.034 l
+427.325 70.7436 l
+427.511 74.034 l
+427.572 77.3244 l
+427.696 70.7436 l
+428.129 60.8724 l
+428.315 70.7436 l
+428.5 67.4532 l
+428.809 64.1628 l
+429.119 67.4532 l
+429.49 60.8724 l
+429.923 70.7436 l
+430.046 64.1628 l
+430.17 70.7436 l
+430.417 77.3244 l
+430.479 74.034 l
+430.541 70.7436 l
+430.726 74.034 l
+431.159 83.9052 l
+431.654 70.7436 l
+431.84 80.6148 l
+432.025 77.3244 l
+432.273 70.7436 l
+432.334 74.034 l
+432.458 80.6148 l
+432.644 77.3244 l
+432.953 74.034 l
+433.077 80.6148 l
+433.2 74.034 l
+433.262 70.7436 l
+433.448 74.034 l
+434.19 100.357 l
+434.499 97.0668 l
+434.746 110.228 l
+434.87 103.648 l
+435.056 93.7764 l
+435.179 100.357 l
+435.612 116.809 l
+435.674 113.519 l
+435.921 106.938 l
+435.983 110.228 l
+436.664 133.261 l
+436.787 126.68 l
+436.911 133.261 l
+437.097 136.552 l
+437.158 133.261 l
+437.653 120.1 l
+437.962 129.971 l
+438.024 126.68 l
+438.148 120.1 l
+438.272 126.68 l
+438.952 149.713 l
+439.076 143.132 l
+439.261 146.423 l
+439.632 153.004 l
+440.003 146.423 l
+440.312 149.713 l
+440.498 146.423 l
+440.56 149.713 l
+440.993 159.584 l
+441.116 153.004 l
+441.24 159.584 l
+441.982 185.908 l
+442.353 172.746 l
+442.415 176.036 l
+442.724 179.327 l
+442.972 172.746 l
+443.034 176.036 l
+443.095 179.327 l
+443.219 172.746 l
+443.281 169.456 l
+443.405 176.036 l
+444.085 199.069 l
+444.58 185.908 l
+445.136 202.36 l
+445.569 192.488 l
+445.693 199.069 l
+445.817 192.488 l
+446.002 189.198 l
+446.064 192.488 l
+446.559 205.65 l
+447.115 189.198 l
+447.486 195.779 l
+447.548 192.488 l
+447.672 199.069 l
+447.858 208.94 l
+447.981 202.36 l
+448.723 176.036 l
+448.785 179.327 l
+448.971 176.036 l
+449.033 172.746 l
+449.156 179.327 l
+449.342 182.617 l
+449.404 179.327 l
+449.898 166.165 l
+450.208 176.036 l
+450.27 172.746 l
+450.393 166.165 l
+450.517 172.746 l
+450.95 195.779 l
+451.073 189.198 l
+451.816 162.875 l
+452.187 176.036 l
+452.249 172.746 l
+452.991 146.423 l
+453.176 149.713 l
+453.238 146.423 l
+453.671 136.552 l
+453.857 146.423 l
+453.98 139.842 l
+454.351 133.261 l
+454.537 143.132 l
+454.722 139.842 l
+454.784 136.552 l
+454.97 139.842 l
+455.217 146.423 l
+455.279 143.132 l
+455.774 129.971 l
+455.836 133.261 l
+455.959 126.68 l
+456.392 116.809 l
+456.763 129.971 l
+456.825 126.68 l
+457.32 113.519 l
+457.691 126.68 l
+457.753 123.39 l
+458.309 106.938 l
+458.433 113.519 l
+458.557 106.938 l
+458.742 97.0668 l
+458.928 100.357 l
+458.99 103.648 l
+459.113 97.0668 l
+459.175 93.7764 l
+459.299 100.357 l
+459.484 110.228 l
+459.67 106.938 l
+459.794 100.357 l
+459.917 106.938 l
+460.103 110.228 l
+460.165 106.938 l
+460.474 97.0668 l
+460.536 100.357 l
+460.721 103.648 l
+460.783 100.357 l
+460.845 97.0668 l
+460.969 103.648 l
+461.092 110.228 l
+461.216 103.648 l
+461.649 93.7764 l
+462.02 106.938 l
+462.082 103.648 l
+462.391 100.357 l
+462.824 110.228 l
+463.195 103.648 l
+463.504 120.1 l
+463.69 116.809 l
+464.185 97.0668 l
+464.246 100.357 l
+464.308 103.648 l
+464.494 100.357 l
+464.618 93.7764 l
+464.741 100.357 l
+464.803 103.648 l
+464.927 97.0668 l
+465.05 90.486 l
+465.174 97.0668 l
+465.854 120.1 l
+466.164 116.809 l
+466.349 120.1 l
+466.411 116.809 l
+466.597 113.519 l
+466.658 116.809 l
+466.844 120.1 l
+466.906 116.809 l
+467.091 113.519 l
+467.153 116.809 l
+467.401 123.39 l
+467.462 120.1 l
+468.205 93.7764 l
+468.39 103.648 l
+468.514 97.0668 l
+468.576 93.7764 l
+468.699 100.357 l
+468.761 103.648 l
+468.947 100.357 l
+469.503 83.9052 l
+469.689 87.1956 l
+469.751 83.9052 l
+469.813 80.6148 l
+469.936 87.1956 l
+469.998 90.486 l
+470.122 83.9052 l
+470.184 80.6148 l
+470.369 83.9052 l
+470.988 103.648 l
+471.235 97.0668 l
+471.297 100.357 l
+471.853 116.809 l
+472.657 87.1956 l
+472.781 93.7764 l
+472.967 90.486 l
+473.276 87.1956 l
+473.771 106.938 l
+473.832 103.648 l
+473.956 97.0668 l
+474.08 103.648 l
+474.76 126.68 l
+475.131 120.1 l
+475.502 139.842 l
+475.626 133.261 l
+475.935 123.39 l
+475.997 126.68 l
+476.183 136.552 l
+476.306 129.971 l
+476.863 113.519 l
+477.234 120.1 l
+477.419 116.809 l
+477.481 120.1 l
+477.543 123.39 l
+477.667 116.809 l
+478.038 103.648 l
+478.1 106.938 l
+478.533 123.39 l
+478.595 120.1 l
+478.904 110.228 l
+478.966 113.519 l
+479.275 123.39 l
+479.337 120.1 l
+479.399 116.809 l
+479.522 123.39 l
+479.893 129.971 l
+480.264 123.39 l
+480.883 143.132 l
+481.13 129.971 l
+481.254 136.552 l
+481.625 149.713 l
+481.687 146.423 l
+482.429 120.1 l
+482.676 133.261 l
+482.862 129.971 l
+483.542 106.938 l
+483.851 116.809 l
+483.913 113.519 l
+484.284 100.357 l
+484.346 103.648 l
+484.408 106.938 l
+484.593 103.648 l
+484.717 97.0668 l
+484.903 100.357 l
+485.026 106.938 l
+485.212 103.648 l
+485.645 93.7764 l
+486.016 106.938 l
+486.078 103.648 l
+486.387 100.357 l
+486.758 113.519 l
+486.82 110.228 l
+487.377 93.7764 l
+488.242 126.68 l
+488.552 123.39 l
+488.737 126.68 l
+488.799 123.39 l
+489.294 110.228 l
+489.727 120.1 l
+489.85 113.519 l
+490.036 116.809 l
+490.283 129.971 l
+490.407 123.39 l
+490.654 116.809 l
+490.716 120.1 l
+491.335 139.842 l
+491.582 126.68 l
+491.767 129.971 l
+492.015 143.132 l
+492.139 136.552 l
+492.448 133.261 l
+492.51 136.552 l
+492.633 129.971 l
+492.943 126.68 l
+493.066 133.261 l
+493.252 129.971 l
+493.623 116.809 l
+493.685 120.1 l
+494.118 129.971 l
+494.179 126.68 l
+494.303 133.261 l
+494.365 136.552 l
+494.489 129.971 l
+494.922 120.1 l
+495.478 136.552 l
+495.54 133.261 l
+495.664 139.842 l
+496.035 146.423 l
+496.468 136.552 l
+496.653 146.423 l
+496.839 143.132 l
+496.901 139.842 l
+497.086 143.132 l
+497.457 149.713 l
+497.705 143.132 l
+497.766 146.423 l
+498.138 153.004 l
+498.447 149.713 l
+498.509 153.004 l
+498.632 146.423 l
+498.818 143.132 l
+498.88 146.423 l
+499.189 149.713 l
+499.56 136.552 l
+499.622 139.842 l
+500.055 149.713 l
+500.117 146.423 l
+500.24 153.004 l
+500.611 166.165 l
+500.673 162.875 l
+501.106 153.004 l
+501.292 162.875 l
+501.415 156.294 l
+501.601 153.004 l
+501.663 156.294 l
+501.91 162.875 l
+501.972 159.584 l
+502.405 149.713 l
+502.9 162.875 l
+502.961 159.584 l
+503.085 166.165 l
+503.58 179.327 l
+503.765 176.036 l
+503.827 179.327 l
+504.137 182.617 l
+504.26 176.036 l
+504.384 182.617 l
+504.879 202.36 l
+504.94 199.069 l
+505.25 195.779 l
+505.683 205.65 l
+506.177 192.488 l
+506.363 195.779 l
+506.425 192.488 l
+506.92 179.327 l
+507.167 185.908 l
+507.229 182.617 l
+507.538 179.327 l
+508.033 205.65 l
+508.156 199.069 l
+508.527 185.908 l
+508.589 189.198 l
+509.331 215.521 l
+509.455 208.94 l
+509.641 212.231 l
+509.764 218.812 l
+509.95 215.521 l
+510.259 212.231 l
+510.939 235.264 l
+511.558 215.521 l
+511.929 228.683 l
+511.991 225.392 l
+512.176 215.521 l
+512.3 222.102 l
+512.362 225.392 l
+512.547 222.102 l
+513.166 202.36 l
+513.475 205.65 l
+513.537 202.36 l
+513.722 205.65 l
+514.217 218.812 l
+514.279 215.521 l
+514.403 222.102 l
+514.836 231.973 l
+515.578 205.65 l
+515.825 212.231 l
+515.887 208.94 l
+515.949 205.65 l
+516.073 212.231 l
+516.258 215.521 l
+516.32 212.231 l
+516.691 205.65 l
+517.186 218.812 l
+517.557 212.231 l
+517.681 218.812 l
+517.866 215.521 l
+518.299 199.069 l
+518.361 202.36 l
+518.608 208.94 l
+518.67 205.65 l
+518.732 202.36 l
+518.856 208.94 l
+518.917 212.231 l
+519.103 208.94 l
+519.536 199.069 l
+520.031 212.231 l
+520.093 208.94 l
+520.216 215.521 l
+520.34 222.102 l
+520.525 218.812 l
+520.773 212.231 l
+520.835 215.521 l
+521.082 222.102 l
+521.144 218.812 l
+521.824 195.779 l
+522.257 205.65 l
+522.69 195.779 l
+522.752 199.069 l
+522.876 192.488 l
+523.247 185.908 l
+523.68 195.779 l
+524.174 182.617 l
+524.669 195.779 l
+524.855 185.908 l
+524.978 192.488 l
+525.287 202.36 l
+525.349 199.069 l
+525.411 195.779 l
+525.535 202.36 l
+525.659 208.94 l
+525.782 202.36 l
+526.277 189.198 l
+526.834 212.231 l
+526.895 208.94 l
+527.081 199.069 l
+527.205 205.65 l
+527.39 208.94 l
+527.452 205.65 l
+527.514 202.36 l
+527.638 208.94 l
+527.947 218.812 l
+528.009 215.521 l
+528.318 212.231 l
+528.503 222.102 l
+528.689 218.812 l
+528.998 208.94 l
+529.06 212.231 l
+529.122 215.521 l
+529.246 208.94 l
+529.678 199.069 l
+529.988 202.36 l
+530.173 192.488 l
+530.297 199.069 l
+531.101 228.683 l
+531.41 218.812 l
+531.472 222.102 l
+531.596 228.683 l
+531.781 225.392 l
+532.09 215.521 l
+532.152 218.812 l
+532.462 222.102 l
+532.523 218.812 l
+532.647 225.392 l
+532.709 228.683 l
+532.833 222.102 l
+533.204 208.94 l
+533.265 212.231 l
+533.327 215.521 l
+533.451 208.94 l
+533.946 195.779 l
+534.193 202.36 l
+534.255 199.069 l
+534.379 192.488 l
+534.502 199.069 l
+534.688 202.36 l
+534.75 199.069 l
+534.873 192.488 l
+534.997 199.069 l
+535.306 202.36 l
+535.492 199.069 l
+535.554 202.36 l
+536.914 261.587 l
+536.976 258.296 l
+537.1 264.877 l
+537.162 268.168 l
+537.285 261.587 l
+537.347 258.296 l
+537.533 261.587 l
+537.595 264.877 l
+537.718 258.296 l
+538.028 255.006 l
+538.151 261.587 l
+538.275 255.006 l
+538.337 251.716 l
+538.46 258.296 l
+538.955 271.458 l
+539.512 248.425 l
+539.574 251.716 l
+540.192 278.039 l
+540.254 274.748 l
+540.378 268.168 l
+540.501 274.748 l
+540.687 284.62 l
+540.872 281.329 l
+540.934 278.039 l
+541.058 284.62 l
+541.12 287.91 l
+541.244 281.329 l
+541.553 271.458 l
+541.615 274.748 l
+541.986 281.329 l
+542.48 261.587 l
+542.542 264.877 l
+543.223 287.91 l
+543.655 278.039 l
+543.965 281.329 l
+544.336 274.748 l
+544.583 281.329 l
+544.645 278.039 l
+544.707 274.748 l
+544.831 281.329 l
+544.892 284.62 l
+545.016 278.039 l
+545.202 274.748 l
+545.263 278.039 l
+545.696 287.91 l
+546.129 271.458 l
+546.191 274.748 l
+546.253 278.039 l
+546.377 271.458 l
+546.562 268.168 l
+546.624 271.458 l
+546.995 278.039 l
+547.057 274.748 l
+547.181 281.329 l
+547.675 301.072 l
+547.737 297.781 l
+548.17 287.91 l
+548.232 291.2 l
+548.418 287.91 l
+548.541 281.329 l
+548.665 287.91 l
+548.727 291.2 l
+548.85 284.62 l
+548.912 281.329 l
+549.098 284.62 l
+549.716 304.362 l
+549.964 291.2 l
+550.087 297.781 l
+550.273 301.072 l
+550.335 297.781 l
+550.829 284.62 l
+551.015 294.491 l
+551.201 291.2 l
+551.51 274.748 l
+551.633 281.329 l
+552.19 304.362 l
+552.252 301.072 l
+552.685 291.2 l
+553.118 301.072 l
+553.489 294.491 l
+553.674 297.781 l
+553.736 294.491 l
+554.107 287.91 l
+554.54 297.781 l
+554.664 291.2 l
+554.788 297.781 l
+555.097 307.652 l
+555.159 304.362 l
+555.653 291.2 l
+556.024 297.781 l
+556.334 294.491 l
+556.705 307.652 l
+556.767 304.362 l
+556.89 297.781 l
+557.014 304.362 l
+557.2 314.233 l
+557.323 307.652 l
+557.509 297.781 l
+557.632 304.362 l
+557.756 310.943 l
+557.88 304.362 l
+558.498 284.62 l
+558.684 287.91 l
+558.746 284.62 l
+558.931 281.329 l
+558.993 284.62 l
+559.055 287.91 l
+559.179 281.329 l
+559.364 271.458 l
+559.55 274.748 l
+559.611 278.039 l
+559.735 271.458 l
+559.859 264.877 l
+559.983 271.458 l
+560.415 281.329 l
+560.972 264.877 l
+561.034 268.168 l
+561.158 261.587 l
+561.219 258.296 l
+561.343 264.877 l
+561.838 284.62 l
+561.9 281.329 l
+562.023 274.748 l
+562.147 281.329 l
+562.704 297.781 l
+563.508 268.168 l
+563.879 281.329 l
+563.941 278.039 l
+564.064 271.458 l
+564.25 274.748 l
+564.312 278.039 l
+564.435 271.458 l
+564.497 268.168 l
+564.683 271.458 l
+565.363 294.491 l
+565.487 287.91 l
+565.672 291.2 l
+565.858 294.491 l
+565.92 291.2 l
+566.229 281.329 l
+566.291 284.62 l
+566.6 294.491 l
+566.662 291.2 l
+567.157 278.039 l
+567.28 284.62 l
+567.404 278.039 l
+567.466 274.748 l
+567.651 278.039 l
+567.961 287.91 l
+568.022 284.62 l
+568.084 281.329 l
+568.208 287.91 l
+568.579 294.491 l
+569.012 284.62 l
+569.074 287.91 l
+569.197 281.329 l
+569.259 278.039 l
+569.383 284.62 l
+569.507 291.2 l
+569.63 284.62 l
+569.94 274.748 l
+570.001 278.039 l
+570.125 284.62 l
+570.249 278.039 l
+570.311 274.748 l
+570.434 281.329 l
+570.991 297.781 l
+571.115 291.2 l
+571.238 297.781 l
+571.362 304.362 l
+571.486 297.781 l
+571.795 294.491 l
+572.352 310.943 l
+572.846 291.2 l
+572.908 294.491 l
+573.465 310.943 l
+573.774 307.652 l
+573.898 314.233 l
+574.083 310.943 l
+574.392 307.652 l
+574.454 310.943 l
+574.578 304.362 l
+574.887 294.491 l
+574.949 297.781 l
+575.196 310.943 l
+575.382 307.652 l
+576.062 278.039 l
+576.124 281.329 l
+576.804 304.362 l
+576.928 297.781 l
+577.052 304.362 l
+577.361 314.233 l
+577.423 310.943 l
+577.794 304.362 l
+578.227 314.233 l
+578.351 307.652 l
+578.474 314.233 l
+579.154 337.266 l
+579.216 333.976 l
+579.402 337.266 l
+579.649 350.428 l
+579.835 347.137 l
+580.268 330.685 l
+580.33 333.976 l
+580.639 337.266 l
+580.701 333.976 l
+580.886 337.266 l
+581.072 340.556 l
+581.134 337.266 l
+581.443 333.976 l
+581.628 343.847 l
+581.752 337.266 l
+582.061 327.395 l
+582.123 330.685 l
+582.556 340.556 l
+583.113 324.104 l
+583.174 327.395 l
+583.298 320.814 l
+583.731 310.943 l
+583.917 320.814 l
+584.102 317.524 l
+584.473 310.943 l
+585.092 330.685 l
+585.215 324.104 l
+585.401 327.395 l
+585.586 337.266 l
+585.71 330.685 l
+586.143 320.814 l
+586.329 324.104 l
+586.39 320.814 l
+586.452 317.524 l
+586.638 320.814 l
+586.7 324.104 l
+586.823 317.524 l
+587.442 297.781 l
+587.627 301.072 l
+587.689 297.781 l
+588.122 287.91 l
+588.74 307.652 l
+588.988 294.491 l
+589.112 301.072 l
+589.235 307.652 l
+589.359 301.072 l
+589.483 294.491 l
+589.668 297.781 l
+589.73 301.072 l
+589.854 294.491 l
+590.287 278.039 l
+590.348 281.329 l
+590.472 287.91 l
+590.658 284.62 l
+590.781 278.039 l
+590.905 284.62 l
+590.967 287.91 l
+591.091 281.329 l
+591.523 271.458 l
+591.771 284.62 l
+591.956 281.329 l
+592.018 278.039 l
+592.204 281.329 l
+592.451 287.91 l
+592.513 284.62 l
+592.822 281.329 l
+593.503 304.362 l
+593.874 291.2 l
+593.935 294.491 l
+594.492 310.943 l
+594.554 307.652 l
+594.678 314.233 l
+594.801 320.814 l
+594.925 314.233 l
+595.296 307.652 l
+595.482 310.943 l
+595.543 307.652 l
+595.605 304.362 l
+595.791 307.652 l
+595.853 310.943 l
+596.038 307.652 l
+596.347 304.362 l
+596.78 320.814 l
+596.842 317.524 l
+597.151 314.233 l
+597.337 317.524 l
+597.399 314.233 l
+597.584 310.943 l
+597.646 314.233 l
+597.708 317.524 l
+597.894 314.233 l
+598.141 301.072 l
+598.265 307.652 l
+599.13 340.556 l
+599.44 330.685 l
+599.501 333.976 l
+599.996 353.718 l
+600.058 350.428 l
+600.367 340.556 l
+600.429 343.847 l
+600.738 353.718 l
+600.8 350.428 l
+600.986 340.556 l
+601.109 347.137 l
+601.419 350.428 l
+601.913 337.266 l
+601.975 340.556 l
+602.099 333.976 l
+602.161 330.685 l
+602.285 337.266 l
+602.841 353.718 l
+603.089 340.556 l
+603.274 343.847 l
+603.46 347.137 l
+603.521 343.847 l
+604.14 324.104 l
+604.325 333.976 l
+604.449 327.395 l
+604.696 320.814 l
+604.758 324.104 l
+605.068 333.976 l
+605.129 330.685 l
+605.253 324.104 l
+605.377 330.685 l
+605.748 343.847 l
+605.81 340.556 l
+605.872 337.266 l
+605.995 343.847 l
+606.366 350.428 l
+606.861 337.266 l
+606.985 343.847 l
+607.108 337.266 l
+607.541 320.814 l
+607.603 324.104 l
+607.727 330.685 l
+607.912 327.395 l
+608.222 324.104 l
+608.655 333.976 l
+609.087 324.104 l
+609.273 333.976 l
+609.397 327.395 l
+609.582 324.104 l
+609.644 327.395 l
+609.953 330.685 l
+610.324 324.104 l
+610.572 330.685 l
+610.634 327.395 l
+610.757 320.814 l
+610.943 324.104 l
+611.005 327.395 l
+611.128 320.814 l
+611.747 301.072 l
+612.303 317.524 l
+612.922 297.781 l
+613.293 304.362 l
+613.664 297.781 l
+614.035 304.362 l
+614.221 301.072 l
+614.282 304.362 l
+614.777 324.104 l
+614.839 320.814 l
+615.148 317.524 l
+615.457 320.814 l
+615.519 317.524 l
+615.705 320.814 l
+615.767 324.104 l
+615.89 317.524 l
+616.076 314.233 l
+616.138 317.524 l
+616.261 324.104 l
+616.385 317.524 l
+616.447 314.233 l
+616.571 320.814 l
+616.942 327.395 l
+617.065 320.814 l
+617.251 324.104 l
+617.808 340.556 l
+618.179 333.976 l
+618.612 343.847 l
+618.797 340.556 l
+618.859 343.847 l
+619.168 353.718 l
+619.23 350.428 l
+619.292 347.137 l
+619.416 353.718 l
+619.787 360.299 l
+620.034 353.718 l
+620.096 357.008 l
+620.22 363.589 l
+620.343 357.008 l
+620.467 350.428 l
+620.591 357.008 l
+620.962 363.589 l
+621.518 347.137 l
+621.642 353.718 l
+621.766 347.137 l
+621.951 337.266 l
+622.075 343.847 l
+622.26 353.718 l
+622.384 347.137 l
+622.632 340.556 l
+622.693 343.847 l
+623.188 357.008 l
+623.559 350.428 l
+623.93 363.589 l
+623.992 360.299 l
+624.054 357.008 l
+624.178 363.589 l
+624.239 366.88 l
+624.425 363.589 l
+625.043 337.266 l
+625.105 340.556 l
+625.291 350.428 l
+625.415 343.847 l
+625.476 340.556 l
+625.6 347.137 l
+625.724 353.718 l
+625.847 347.137 l
+626.219 340.556 l
+626.713 353.718 l
+627.023 343.847 l
+627.084 347.137 l
+627.641 363.589 l
+627.765 357.008 l
+627.95 360.299 l
+628.136 370.17 l
+628.136 370.17 l
+stroke
+grestore
+1.000 0.000 0.000 setrgbcolor
+gsave
+556.6 329 89.77 41.13 clipbox
+89.775 287.91 m
+90.2698 274.748 l
+90.4553 278.039 l
+90.5171 274.748 l
+90.9501 264.877 l
+91.0119 268.168 l
+91.1974 264.877 l
+91.5685 251.716 l
+91.6303 255.006 l
+92.0014 268.168 l
+92.0633 264.877 l
+92.3725 255.006 l
+92.4343 258.296 l
+92.7436 268.168 l
+92.8054 264.877 l
+93.1765 251.716 l
+93.2383 255.006 l
+93.362 261.587 l
+93.4857 255.006 l
+93.8568 248.425 l
+94.0423 251.716 l
+94.1041 248.425 l
+94.4752 241.844 l
+94.6608 251.716 l
+94.8463 248.425 l
+95.2174 228.683 l
+95.341 235.264 l
+95.774 245.135 l
+96.2687 225.392 l
+96.3306 228.683 l
+96.6398 238.554 l
+96.7016 235.264 l
+96.949 228.683 l
+97.0109 231.973 l
+97.0727 235.264 l
+97.1964 228.683 l
+97.3201 222.102 l
+97.5056 225.392 l
+98.0622 241.844 l
+98.4333 235.264 l
+98.6807 241.844 l
+98.7425 238.554 l
+98.8044 235.264 l
+98.9281 241.844 l
+99.1754 248.425 l
+99.2373 245.135 l
+99.5465 241.844 l
+100.412 274.748 l
+100.783 268.168 l
+100.907 274.748 l
+101.031 268.168 l
+101.216 258.296 l
+101.34 264.877 l
+101.711 278.039 l
+101.773 274.748 l
+102.02 268.168 l
+102.082 271.458 l
+102.391 287.91 l
+102.515 281.329 l
+102.577 278.039 l
+102.762 281.329 l
+103.195 291.2 l
+103.381 281.329 l
+103.505 287.91 l
+103.69 291.2 l
+103.752 287.91 l
+103.876 281.329 l
+104.061 284.62 l
+104.494 294.491 l
+104.865 287.91 l
+104.989 294.491 l
+105.174 291.2 l
+105.236 287.91 l
+105.36 294.491 l
+105.669 297.781 l
+106.226 274.748 l
+106.288 278.039 l
+106.597 287.91 l
+106.659 284.62 l
+106.782 278.039 l
+106.906 284.62 l
+106.968 287.91 l
+107.153 284.62 l
+107.71 268.168 l
+108.081 274.748 l
+108.328 268.168 l
+108.39 271.458 l
+108.7 274.748 l
+108.885 271.458 l
+108.947 274.748 l
+109.256 278.039 l
+109.318 274.748 l
+109.504 278.039 l
+110.06 294.491 l
+110.555 274.748 l
+110.617 278.039 l
+111.05 287.91 l
+111.421 281.329 l
+111.854 291.2 l
+112.348 278.039 l
+112.843 291.2 l
+112.967 284.62 l
+113.091 291.2 l
+113.523 301.072 l
+113.895 287.91 l
+113.956 291.2 l
+114.575 310.943 l
+114.637 307.652 l
+114.76 314.233 l
+114.946 317.524 l
+115.008 314.233 l
+115.379 307.652 l
+115.441 310.943 l
+115.626 307.652 l
+115.688 304.362 l
+115.874 307.652 l
+116.183 324.104 l
+116.307 317.524 l
+116.368 314.233 l
+116.492 320.814 l
+116.801 324.104 l
+117.482 294.491 l
+117.543 297.781 l
+117.605 301.072 l
+117.729 294.491 l
+118.1 287.91 l
+118.657 304.362 l
+118.842 301.072 l
+118.904 304.362 l
+119.399 317.524 l
+119.646 310.943 l
+119.708 314.233 l
+119.77 317.524 l
+119.894 310.943 l
+120.265 304.362 l
+120.326 307.652 l
+120.512 304.362 l
+120.821 301.072 l
+121.316 320.814 l
+121.378 317.524 l
+121.501 310.943 l
+121.625 317.524 l
+122.12 330.685 l
+122.738 310.943 l
+123.295 327.395 l
+123.666 320.814 l
+123.728 324.104 l
+123.852 317.524 l
+124.408 301.072 l
+125.088 324.104 l
+125.15 320.814 l
+125.274 327.395 l
+125.336 330.685 l
+125.46 324.104 l
+125.583 317.524 l
+125.707 324.104 l
+126.325 350.428 l
+126.387 347.137 l
+127.068 324.104 l
+128.057 363.589 l
+128.119 360.299 l
+128.243 366.88 l
+128.304 370.17 l
+128.304 370.17 l
+stroke
+grestore
+0.500 setlinewidth
+0 setlinecap
+0.000 setgray
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+89.775 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+89.775 370.17 o
+grestore
+/DejaVuSans findfont
+12.000 scalefont
+setfont
+gsave
+86.751562 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+151.62 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+151.62 370.17 o
+grestore
+gsave
+137.393438 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /one glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+213.465 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+213.465 370.17 o
+grestore
+gsave
+199.019688 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /two glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+275.31 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+275.31 370.17 o
+grestore
+gsave
+260.888125 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /three glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+337.155 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+337.155 370.17 o
+grestore
+gsave
+322.569063 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /four glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+399 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+399 370.17 o
+grestore
+gsave
+384.578125 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /five glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+460.845 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+460.845 370.17 o
+grestore
+gsave
+446.384063 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /six glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+522.69 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+522.69 370.17 o
+grestore
+gsave
+508.299375 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /seven glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+584.535 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+584.535 370.17 o
+grestore
+gsave
+570.058438 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /eight glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 4 l
+stroke
+grestore
+} bind def
+646.38 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+0 -4 l
+stroke
+grestore
+} bind def
+646.38 370.17 o
+grestore
+gsave
+631.872187 28.051875 translate
+0.000000 rotate
+0.000000 0.171875 m /nine glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+22.904297 0.171875 m /zero glyphshow
+grestore
+355.132 11.646 m
+0 2.5 rmoveto
+(Step) show
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+4 0 l
+stroke
+grestore
+} bind def
+89.775 41.13 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+-4 0 l
+stroke
+grestore
+} bind def
+646.38 41.13 o
+grestore
+gsave
+79.728125 36.590937 translate
+0.000000 rotate
+0.000000 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+4 0 l
+stroke
+grestore
+} bind def
+89.775 106.938 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+-4 0 l
+stroke
+grestore
+} bind def
+646.38 106.938 o
+grestore
+gsave
+72.165625 102.398938 translate
+0.000000 rotate
+0.000000 0.171875 m /two glyphshow
+7.634766 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+4 0 l
+stroke
+grestore
+} bind def
+89.775 172.746 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+-4 0 l
+stroke
+grestore
+} bind def
+646.38 172.746 o
+grestore
+gsave
+71.884375 168.206938 translate
+0.000000 rotate
+0.000000 0.171875 m /four glyphshow
+7.634766 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+4 0 l
+stroke
+grestore
+} bind def
+89.775 238.554 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+-4 0 l
+stroke
+grestore
+} bind def
+646.38 238.554 o
+grestore
+gsave
+72.134375 234.014938 translate
+0.000000 rotate
+0.000000 0.171875 m /six glyphshow
+7.634766 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+4 0 l
+stroke
+grestore
+} bind def
+89.775 304.362 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+-4 0 l
+stroke
+grestore
+} bind def
+646.38 304.362 o
+grestore
+gsave
+72.103125 299.822938 translate
+0.000000 rotate
+0.000000 0.171875 m /eight glyphshow
+7.634766 0.171875 m /zero glyphshow
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+4 0 l
+stroke
+grestore
+} bind def
+89.775 370.17 o
+grestore
+gsave
+/o {
+gsave
+newpath
+translate
+0 0 m
+-4 0 l
+stroke
+grestore
+} bind def
+646.38 370.17 o
+grestore
+gsave
+64.962500 365.630938 translate
+0.000000 rotate
+0.000000 0.171875 m /one glyphshow
+7.634766 0.171875 m /zero glyphshow
+15.269531 0.171875 m /zero glyphshow
+grestore
+59.962 190.478 m
+gsave
+90 rotate
+0 0.172 rmoveto
+(State) show
+grestore
+1.000 setlinewidth
+2 setlinecap
+gsave
+89.775 370.17 m
+646.38 370.17 l
+stroke
+grestore
+gsave
+646.38 41.13 m
+646.38 370.17 l
+stroke
+grestore
+gsave
+89.775 41.13 m
+646.38 41.13 l
+stroke
+grestore
+gsave
+89.775 41.13 m
+89.775 370.17 l
+stroke
+grestore
+gsave
+512.621 299.113 m
+639.18 299.113 l
+639.18 362.97 l
+512.621 362.97 l
+512.621 299.113 l
+cl
+gsave
+1.000 setgray
+fill
+grestore
+stroke
+grestore
+0.000 0.000 1.000 setrgbcolor
+gsave
+522.701 351.609 m
+542.861 351.609 l
+stroke
+grestore
+0.000 setgray
+/DejaVuSans findfont
+14.400 scalefont
+setfont
+558.701 346.366 m
+0 0.203 rmoveto
+(Start in 25) show
+0.000 0.500 0.000 setrgbcolor
+gsave
+522.701 330.863 m
+542.861 330.863 l
+stroke
+grestore
+0.000 setgray
+558.701 325.619 m
+0 0.203 rmoveto
+(Start in 50) show
+1.000 0.000 0.000 setrgbcolor
+gsave
+522.701 310.116 m
+542.861 310.116 l
+stroke
+grestore
+0.000 setgray
+558.701 304.873 m
+0 0.203 rmoveto
+(Start in 75) show

 
 

-2262 3089 a Fq(1)2262 3089 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2262 3089 a Black 2287 3107
-a Fr(=)p Black 2327 3107 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2327 3107 a Fq(2)2327 3107
+end
+showpage
+
+%%EndDocument
+ @endspecial Black 452 2365 a Fp(Figure)33 b(1:)43 b
+Fa(Simulated)33 b(time)g(histo)m(ry)g(when)g(sta)m(rting)h(in)e(state)i
+(25,)e(50)g(and)g(75)p Black Black -60 2628 a Fp(lo)s(ok)g(at)290
+2603 y(\026)271 2628 y Fo(T)13 b Fp(,)33 b(the)g(mean)g(time)g(it)g
+(tak)m(es)h(to)e(get)g(to)h(state)g Fo(N)10 b Fp(.)44
+b(Since)33 b(w)m(e)h(do)e(not)h(kno)m(w)g(the)g(v)-5
+b(ariance)34 b(w)m(e)-60 2748 y(use)g(the)f(sample)h(v)-5
+b(ariance,)34 b(whic)m(h)h(is)e(un)m(biased)i(and)e(is)g(therefore)h(a)
+f(go)s(o)s(d)f(appro)m(ximation)h(for)g(large)-60 2869
+y Fo(n)p Fp(.)44 b(The)33 b(sample)h(v)-5 b(ariance)33
+b(is)g(calculated)h(as)e(follo)m(ws:)1325 3138 y Fo(S)1391
+3097 y Fn(2)1458 3138 y Fp(=)1677 3071 y(1)p 1571 3115
+260 4 v 1571 3206 a Fo(N)h Fm(\000)23 b Fp(1)1897 3014
+y Fl(N)1857 3043 y Fi(X)1865 3256 y Fl(k)r Fn(=1)2001
+3138 y Fp(\()p Fo(T)2096 3153 y Fl(k)2161 3138 y Fm(\000)2280
+3113 y Fp(\026)2260 3138 y Fo(T)14 b Fp(\))2369 3097
+y Fn(2)2409 3138 y Fo(:)1211 b Fp(\(23\))-60 3405 y(With)33
+b(this)g(as)g(the)g(v)-5 b(ariance)33 b(w)m(e)h(can)e(write)i(a)e
+(standardized)i(normal)f(random)f(v)-5 b(ariable)33 b(as)1628
+3623 y Fo(Z)h Fm(\031)1864 3531 y Fp(\026)1845 3556 y
+Fo(T)h Fm(\000)23 b Fo(\026)p 1845 3601 252 4 v 1947
+3658 a Fl(S)p 1909 3674 122 4 v 1909 3684 a Fk(p)p 1968
+3684 64 3 v 56 x Fl(N)2106 3623 y Fo(:)1514 b Fp(\(24\))-60
+3892 y(A)33 b(95\045)f(con\014dence)i(in)m(terv)-5 b(al)34
+b(for)e Fo(mu)g Fp(is)h(then)g(giv)m(en)h(b)m(y)1177
+4092 y(\026)1158 4117 y Fo(T)i Fm(\000)22 b Fo(z)1395
+4132 y Fl(\013=)p Fn(2)1578 4050 y Fo(S)p 1526 4094 172
+4 v 1526 4114 a Fm(p)p 1609 4114 89 4 v 84 x Fo(N)1735
+4117 y(<)27 b(\026)h(<)2047 4092 y Fp(\026)2028 4117
+y Fo(T)36 b Fp(+)22 b Fo(z)2264 4132 y Fl(\013=)p Fn(2)2447
+4050 y Fo(S)p 2394 4094 172 4 v 2394 4114 a Fm(p)p 2477
+4114 89 4 v 84 x Fo(N)2576 4117 y(;)1044 b Fp(\(25\))-60
+4349 y(with)33 b Fo(z)207 4364 y Fl(\013=)p Fn(2)355
+4349 y Fp(=)28 b(1)p Fo(:)p Fp(96.)43 b(Numerically)34
+b(this)f(giv)m(es)1227 4535 y(Start)f(in)h(25:)60 b(\(9269)p
+Fo(:)p Fp(92)p Fo(;)17 b Fp(9625)p Fo(:)p Fp(42\))1227
+4680 y(Start)32 b(in)h(50:)60 b(\(7415)p Fo(:)p Fp(45)p
+Fo(;)17 b Fp(7768)p Fo(:)p Fp(15\))1227 4826 y(Start)32
+b(in)h(75:)60 b(\(4363)p Fo(:)p Fp(43)p Fo(;)17 b Fp(4692)p
+Fo(:)p Fp(15\))3647 4682 y(\(26\))86 5006 y(W)-8 b(e)34
+b(will)g(no)m(w)f(sho)m(w)i(a)d(deriv)-5 b(ation)34 b(of)f(a)f(95\045)h
+(con\014dence)i(in)m(terv)-5 b(al)34 b(for)f(the)g(probabilit)m(y)h
+(that)f(the)-60 5127 y(Mark)m(o)m(v)27 b(c)m(hain)g(ev)m(er)h(visits)g
+(state)e(100.)41 b(W)-8 b(e)26 b(denote)h(a)f(success,)k(the)d(tra)m(v)
+m(el)g(from)f(state)g Fo(i)g Fp(to)g(state)h Fo(n)p Fp(,)g(as)-60
+5247 y Fo(p)p Fp(.)41 b Fo(X)35 b Fp(is)27 b(the)h(n)m(um)m(b)s(er)g
+(of)e(successes)k(in)d Fo(N)38 b Fp(trials.)k(A)26 b(p)s(oin)m(t)h
+(estimator)h(for)e Fo(p)h Fp(is)g(giv)m(en)h(b)m(y)36
+b(^)-57 b Fo(p)27 b Fp(=)3457 5208 y Fl(X)p 3457 5224
+64 4 v 3457 5282 a(N)3530 5247 y Fp(.)41 b(Since)-60
+5368 y(these)33 b(trials)e(ha)m(v)m(e)i(only)f(to)f(p)s(ossible)h
+(outcomes,)h(success)h(and)e(failure,)g Fo(X)39 b Fp(is)32
+b(binomially)g(distributed)-60 5488 y(with)j(parameter)h
+Fo(N)10 b(p)p Fp(.)51 b(F)-8 b(or)34 b(large)g Fo(N)46
+b Fp(w)m(e)36 b(can)f(appro)m(ximate)h(a)e(standardized)j(normally)e
+(distributed)-60 5608 y(random)e(v)-5 b(ariable)32 b(as)h(sho)m(w)h(b)s
+(elo)m(w.)1586 5753 y Fo(Z)g Fm(\031)1869 5686 y Fp(^)-58
+b Fo(p)22 b Fm(\000)h Fo(p)p 1802 5730 336 4 v 1802 5750
+a Fi(q)p 1902 5750 237 4 v 1918 5824 a Fn(^)-41 b Fl(p)o
+Fn(\(1)p Fk(\000)6 b Fn(^)-41 b Fl(p)q Fn(\))p 1912 5849
+217 4 v 1988 5906 a Fl(N)2148 5753 y Fo(:)1472 b Fp(\(27\))p
+Black 1856 6125 a(6)p Black eop end
+%%Page: 7 7
+TeXDict begin 7 6 bop Black Black Black Black 349 92
+a Fp(T)-8 b(able)33 b(3:)43 b Fa(Ratio)32 b(of)g(runs)i(that)e(ended)i
+(up)e(in)h(state)g Fp(100)f Fa(after)h Fp(1000)e Fa(steps)j(o)m(r)f(mo)
+m(re)p Black Black Black 939 231 1884 4 v 989 315 a Fp(Start)f(\()p
+Fo(i)p Fp(\))p 1395 352 4 121 v 100 w(Ratio)g(using)h(1000)e(steps)j
+(or)f(more)p 939 355 1884 4 v 1119 439 a(25)p 1395 475
+4 121 v 757 w(0.9838)1119 559 y(50)p 1395 596 V 757 w(0.8866)1119
+680 y(75)p 1395 716 V 757 w(0.5844)p 939 719 1884 4 v
+Black -60 1093 a(A)g(95\045)f(con\014dence)i(in)m(terv)-5
+b(al)34 b(is)f(then)g(giv)m(en)h(b)m(y)920 1390 y(^)-57
+b Fo(p)22 b Fm(\000)h Fo(z)1128 1405 y Fl(\013=)p Fn(2)1248
+1228 y Fi(r)p 1348 1228 365 4 v 1366 1323 a Fp(^)-57
+b Fo(p)p Fp(\(1)21 b Fm(\000)31 b Fp(^)-57 b Fo(p)p Fp(\))p
+1358 1367 345 4 v 1485 1458 a Fo(N)1740 1390 y(<)27 b(p)h(<)35
+b Fp(^)-57 b Fo(p)22 b Fp(+)g Fo(z)2237 1405 y Fl(\013=)p
+Fn(2)2358 1228 y Fi(r)p 2457 1228 365 4 v 2476 1323 a
+Fp(^)-58 b Fo(p)p Fp(\(1)22 b Fm(\000)31 b Fp(^)-57 b
+Fo(p)p Fp(\))p 2467 1367 345 4 v 2595 1458 a Fo(N)2822
+1390 y(;)798 b Fp(\(28\))-60 1640 y(with)33 b Fo(z)207
+1656 y Fl(\013=)p Fn(2)355 1640 y Fp(=)28 b(1)p Fo(:)p
+Fp(96.)43 b(In)33 b(n)m(umerical)h(v)-5 b(alues)33 b(this)g(giv)m(es)
+1276 1865 y(Start)f(in)h(25:)59 b(\(0)p Fo(:)p Fp(2289)p
+Fo(;)17 b Fp(0)p Fo(:)p Fp(2527\))1276 2010 y(Start)32
+b(in)h(50:)59 b(\(0)p Fo(:)p Fp(4841)p Fo(;)17 b Fp(0)p
+Fo(:)p Fp(5119\))1276 2155 y(Start)32 b(in)h(75:)59 b(\(0)p
+Fo(:)p Fp(7435)p Fo(;)17 b Fp(0)p Fo(:)p Fp(7673\))3647
+2011 y(\(29\))86 2369 y(If)28 b Fo(r)223 2384 y Fn(0)290
+2369 y Fm(6)p Fp(=)g(1)f(the)h(c)m(hain)h(will)f(alw)m(a)m(ys)h(ev)m
+(en)m(tually)h(visit)f(state)f(100,)g(and)g(the)g(random)g(v)-5
+b(ariable)28 b(alw)m(a)m(ys)-60 2489 y(has)33 b(the)g(same)g(outcome.)
+45 b(In)32 b(this)i(case)f(the)g(con\014dence)i(in)m(terv)-5
+b(al)33 b(do)s(esn't)g(giv)m(e)h(m)m(uc)m(h)g(sense.)-60
+2778 y Fq(e\))-60 2962 y Fp(Using)g(the)g(sim)m(ulation)h(results)f
+(from)g(sub-problem)g Fe(d\))j Fp(w)m(e)e(estimate)f(the)g(probabilit)m
+(y)h(that)e(it)g(tak)m(es)-60 3083 y(1000)39 b(or)h(more)h(steps)h(b)s
+(efore)e(w)m(e)i(visit)f(state)g(100)e(for)h(the)h(\014rst)g(time.)67
+b(The)42 b(results)f(are)g(sho)m(wn)g(in)-60 3203 y(table)33
+b(3.)-60 3536 y Fr(Problem)53 b(2)-60 3784 y Fq(a\))-60
+3969 y Fp(The)39 b(giv)m(en)g(transition)f(probabilit)m(y)h(matrix)f
+(represen)m(ts)j(a)c(Mark)m(o)m(v)i(c)m(hain)g(with)g(three)f(equiv)-5
+b(alence)-60 4089 y(classes.)65 b(The)40 b(class)g Fm(f)p
+Fp(0)p Fo(;)17 b Fp(1)p Fm(g)38 b Fp(is)i(recurren)m(t)g(with)g(p)s
+(erio)s(d)f Fo(d)f Fp(=)h(1,)i(the)e(class)h Fm(f)p Fp(2)p
+Fo(;)17 b Fp(3)p Fm(g)38 b Fp(is)i(transien)m(t)g(with)-60
+4210 y(p)s(erio)s(d)32 b Fo(d)c Fp(=)f(2)33 b(and)f(the)h(class)h
+Fm(f)p Fp(4)p Fo(;)17 b Fp(5)p Fm(g)31 b Fp(is)j(recurren)m(t)g(with)f
+(p)s(erio)s(d)f Fo(d)c Fp(=)f(2.)-60 4498 y Fq(b\))-60
+4702 y Fp(The)44 b(limiting)f(matrix)g(lim)986 4717 y
+Fl(n)p Fk(!1)1191 4702 y Fj(P)1268 4666 y Fn(\()p Fl(n)p
+Fn(\))1412 4702 y Fp(do)s(es)g(not)g(exist,)j(b)s(ecause)e(the)f(limit)
+h(lim)3024 4717 y Fl(n)p Fk(!1)3229 4702 y Fo(P)3306
+4651 y Fn(\()p Fl(n)p Fn(\))3292 4727 y Fl(ij)3450 4702
+y Fp(do)s(es)f(not)-60 4822 y(exist)35 b(for)e(all)h
+Fo(i)g Fp(and)g Fo(j)6 b Fp(,)34 b(only)g(when)h(either)g
+Fo(i)e Fp(or)h Fo(j)40 b Fp(is)34 b(not)f(in)h Fm(f)p
+Fp(4)p Fo(;)17 b Fp(5)p Fm(g)p Fp(.)46 b(This)35 b(is)f(b)s(ecause)i
+(if)d(y)m(ou)i(start)e(in)-60 4942 y(4)h(or)f(5)h(y)m(ou)g(will)h(en)m
+(ter)g(a)e(lo)s(op)h(with)g(p)s(erio)s(d)g(2,)g(and)g(the)h(probabilit)
+m(y)f(of)g(returning)g(to)g(y)m(ou)h(starting)-60 5063
+y(state)29 b(is)g(completely)h(determined)g(b)m(y)f(whether)h(the)f(n)m
+(um)m(b)s(er)h(of)d(steps)j(is)f(ev)m(en)h(or)e(o)s(dd.)42
+b(The)29 b(limit)g(for)-60 5183 y(b)s(oth)j Fo(i)g Fp(and)g
+Fo(j)38 b Fp(in)32 b Fm(f)p Fp(3)p Fo(;)17 b Fp(4)p Fm(g)31
+b Fp(is)h(zero)h(b)s(ecause)g(this)g(class)g(is)f(transien)m(t.)45
+b(The)33 b(deriv)-5 b(ation)32 b(and)g(calculation)-60
+5304 y(of)g(these)i(limits)f(are)g(sho)m(wn)h(in)f(sub-problem)g
+Fe(c\))p Fp(.)p Black 1856 6125 a(7)p Black eop end
+%%Page: 8 8
+TeXDict begin 8 7 bop Black Black -60 40 a Fq(c\))-60
+224 y Fp(W)-8 b(e)44 b(solv)m(e)h(this)f(problem)g(b)m(y)g(considering)
+h(the)f(di\013eren)m(t)g(classes)h(one)f(b)m(y)g(one,)j(starting)c
+(with)h(the)-60 345 y(submatrix)34 b(for)e(the)h(class)h
+Fm(f)p Fp(0)p Fo(;)17 b Fp(1)p Fm(g)p Fp(,)31 b(that)h(is)1672
+566 y Fi(\022)1789 509 y Fp(0)151 b(1)1607 646 y(0)1762
+621 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1762 621 a Fn(1)1762 621 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1762 621 a 1791 646
+a Fo(=)1829 646 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1829 646 a Fn(2)1829 646 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1829 646
+a 1962 621 a
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1962 621 a Fn(1)1962 621 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1962 621 a 1992
+646 a Fo(=)2029 646 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2029 646 a Fn(2)2029 646 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2029
+646 a 1607 766 a Fp(1)1762 741 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1762 741 a Fn(1)1762
+741 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1762 741 a 1791 766 a Fo(=)1829 766 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1829 766
+a Fn(3)1829 766 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1829 766 a 1962 741 a
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1962 741 a Fn(2)1962
+741 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1962 741 a 1992 766 a Fo(=)2029 766 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2029 766
+a Fn(3)2029 766 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2029 766 a 2081 566 a Fi(\023)2155
+707 y Fo(:)1465 b Fp(\(30\))-60 926 y(This)36 b(class)f(is)g(recurren)m
+(t)h(and)f(the)g(long)f(run)h(prop)s(ortion)f(of)g(time)i(sp)s(en)m(t)f
+(in)g(a)f(state)h(is)g(indep)s(enden)m(t)-60 1047 y(of)d(the)h(initial)
+g(state.)44 b(The)33 b(equations)h(for)e Fo(\031)1619
+1062 y Fl(i)1680 1047 y Fp(then)h(b)s(ecomes)1530 1253
+y Fo(\031)1585 1268 y Fn(0)1653 1253 y Fp(=)1766 1185
+y(1)p 1766 1230 49 4 v 1766 1321 a(2)1825 1253 y Fo(\031)1880
+1268 y Fn(0)1942 1253 y Fp(+)2050 1185 y(1)p 2050 1230
+V 2050 1321 a(3)2109 1253 y Fo(\031)2164 1268 y Fn(1)2203
+1253 y Fo(;)1530 1486 y(\031)1585 1501 y Fn(1)1653 1486
+y Fp(=)1766 1418 y(1)p 1766 1463 V 1766 1554 a(2)1825
+1486 y Fo(\031)1880 1501 y Fn(0)1942 1486 y Fp(+)2050
+1418 y(2)p 2050 1463 V 2050 1554 a(3)2109 1486 y Fo(\031)2164
+1501 y Fn(1)2203 1486 y Fo(;)1576 1672 y Fp(1)28 b(=)f
+Fo(\031)1811 1687 y Fn(0)1873 1672 y Fp(+)22 b Fo(\031)2026
+1687 y Fn(1)2066 1672 y Fo(:)3647 1440 y Fp(\(31\))-60
+1837 y(Solving)42 b(these)h(equations)f(giv)m(e)h Fo(\031)1262
+1852 y Fn(0)1344 1837 y Fp(=)1463 1812 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1463 1812 a
+Fn(4)1463 1812 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1463 1812 a 1493 1837 a Fo(=)1530 1837

 y
 y

- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2327 3107 a 2516 3089 a
- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2516 3089 a Fq(1)2516 3089
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1530 1837 a Fn(10)1530 1837 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1530 1837 a 112 w Fp(and)f
+Fo(\031)1896 1852 y Fn(1)1978 1837 y Fp(=)2097 1812 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+
+2097 1812 a Fn(6)2097 1812 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2097 1812 a 2127 1837 a
+Fo(=)2164 1837 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2164 1837 a Fn(10)2164 1837 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2164 1837
+a 71 w Fp(.)70 b(That)42 b(F)-8 b(or)40 b(the)i(class)h
+Fm(f)p Fp(4)p Fo(;)17 b Fp(5)p Fm(g)40 b Fp(the)i(long)-60
+1958 y(run)33 b(prop)s(ortion)g(of)f(time)i(sp)s(en)m(t)g(in)f(either)h
+(state)g(is)f(clearly)2241 1933 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2241 1933 a Fn(1)2241
+1933 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2241 1933 a 2271 1958 a Fo(=)2309 1958 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2309
+1958 a Fn(2)2309 1958 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2309 1958 a 68 w Fp(for)f(b)s(oth)h(states,)h
+(as)f(y)m(ou)h(will)g(switc)m(h)-60 2078 y(b)s(et)m(w)m(een)h(them)e
+(for)f(ev)m(ery)i(step.)86 2198 y(Starting)g(in)h(state)f(2)g(or)g(3)g
+(w)m(e)i(can)e(end)h(up)g(in)f(either)h(of)f(the)h(t)m(w)m(o)g
+(recurren)m(t)g(classes.)51 b(W)-8 b(e)34 b(de\014ne)-60
+2319 y Fo(C)42 b Fp(to)34 b(b)s(e)h(the)g(probabilit)m(y)h(of)e(b)s
+(eing)h(caugh)m(t)g(in)g(the)g(class)h Fm(f)p Fp(0)p
+Fo(;)17 b Fp(1)p Fm(g)p Fp(,)34 b(and)h Fo(u)2744 2334
+y Fl(i)2806 2319 y Fp(the)g(probabilit)m(y)h(of)e(b)s(eing)-60
+2439 y(caugh)m(t)f(giv)m(en)h(the)f(starting)f(state)h
+Fo(i)p Fp(,)1488 2606 y Fo(u)1544 2621 y Fl(i)1600 2606
+y Fp(=)27 b Fo(P)14 b Fp(\()p Fo(C)7 b Fm(j)p Fo(X)2004
+2621 y Fn(0)2070 2606 y Fp(=)28 b Fo(i)p Fp(\))p Fo(:)1375
+b Fp(\(32\))-60 2773 y(T)-8 b(aking)33 b(one)g(step)g(giv)m(es)h(the)f
+(follo)m(wing)g(t)m(w)m(o)h(equations)f(for)f Fo(u)2295
+2788 y Fn(2)2367 2773 y Fp(and)h Fo(u)2613 2788 y Fn(3)2652
+2773 y Fp(:)1033 2952 y Fo(u)1089 2967 y Fn(2)1156 2952
+y Fp(=)1260 2857 y Fi(X)1320 3067 y Fl(i)1420 2952 y
+Fo(P)14 b Fp(\()p Fo(C)7 b Fm(j)p Fo(X)1721 2967 y Fn(1)1787
+2952 y Fp(=)28 b Fo(i)p Fp(\))p Fo(P)14 b Fp(\()p Fo(X)2158
+2967 y Fn(1)2224 2952 y Fp(=)28 b Fo(i)p Fm(j)p Fo(X)2470
+2967 y Fn(0)2537 2952 y Fp(=)f(2\))1156 3215 y(=)1260
+3120 y Fi(X)1320 3330 y Fl(i)1420 3215 y Fo(P)14 b Fp(\()p
+Fo(C)7 b Fm(j)p Fo(X)1721 3230 y Fn(1)1787 3215 y Fp(=)28
+b Fo(i)p Fp(\))p Fo(P)2025 3230 y Fn(2)p Fl(;i)1156 3505
+y Fp(=)1270 3438 y(1)p 1270 3482 49 4 v 1270 3574 a(3)1350
+3505 y(+)1458 3438 y(1)p 1458 3482 V 1458 3574 a(3)1517
+3505 y Fo(u)1573 3520 y Fn(3)1612 3505 y Fo(;)3647 3236
+y Fp(\(33\))1033 3733 y Fo(u)1089 3748 y Fn(3)1156 3733
+y Fp(=)1260 3638 y Fi(X)1320 3848 y Fl(i)1420 3733 y
+Fo(P)14 b Fp(\()p Fo(C)7 b Fm(j)p Fo(X)1721 3748 y Fn(1)1787
+3733 y Fp(=)28 b Fo(i)p Fp(\))p Fo(P)14 b Fp(\()p Fo(X)2158
+3748 y Fn(1)2224 3733 y Fp(=)28 b Fo(i)p Fm(j)p Fo(X)2470
+3748 y Fn(0)2537 3733 y Fp(=)f(3\))1156 3996 y(=)1260
+3901 y Fi(X)1320 4111 y Fl(i)1420 3996 y Fo(P)14 b Fp(\()p
+Fo(C)7 b Fm(j)p Fo(X)1721 4011 y Fn(1)1787 3996 y Fp(=)28
+b Fo(i)p Fp(\))p Fo(P)2025 4011 y Fn(3)p Fl(;i)1156 4286
+y Fp(=)1270 4219 y(1)p 1270 4263 V 1270 4355 a(3)1350
+4286 y(+)1458 4219 y(1)p 1458 4263 V 1458 4355 a(6)1517
+4286 y Fo(u)1573 4301 y Fn(2)1612 4286 y Fo(:)3647 4017
+y Fp(\(34\))-60 4469 y(Solving)h(these)h(equations)g(giv)m(e)f
+Fo(u)1211 4484 y Fn(2)1278 4469 y Fp(=)1381 4444 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1381
+4444 a Fn(8)1381 4444 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1381 4444 a 1411 4469 a Fo(=)1449
+4469 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1449 4469 a Fn(17)1449 4469 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1449 4469 a 99 w
+Fp(and)f Fo(u)1789 4484 y Fn(3)1856 4469 y Fp(=)1959
+4444 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1959 4444 a Fn(7)1959 4444 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1959 4444 a 1989
+4469 a Fo(=)2027 4469 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2027 4469 a Fn(17)2027 4469 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+
+2027 4469 a 70 w Fp(.)42 b(W)-8 b(e)29 b(can)g(de\014ne)h
+Fo(v)2830 4484 y Fl(i)2887 4469 y Fp(to)e(b)s(e)g(the)h(probabilities)
+-60 4589 y(of)43 b(ending)g(up)h(in)f(the)g(class)h Fm(f)p
+Fp(4)p Fo(;)17 b Fp(5)p Fm(g)p Fp(,)45 b(and)e(w)m(e)h(see)g(that)f
+Fo(v)2184 4604 y Fl(i)2258 4589 y Fp(=)i(1)29 b Fm(\000)h
+Fo(u)2620 4604 y Fl(i)2690 4589 y Fp(whic)m(h)45 b(giv)m(es)f
+Fo(v)3276 4604 y Fn(2)3361 4589 y Fp(=)3483 4564 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 3483
+4564 a Fn(9)3483 4564 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 3483 4564 a 3512 4589 a Fo(=)3550
+4589 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 3550 4589 a Fn(17)3550 4589 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 3550 4589 a 113
+w Fp(and)-60 4710 y Fo(v)-13 4725 y Fn(3)54 4710 y Fp(=)158
+4685 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 158 4685 a Fn(10)158 4685 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 158 4685 a 223 4710
+a Fo(=)261 4710 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 261 4710 a Fn(17)261 4710 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 261 4710
+a 70 w Fp(.)86 4830 y(As)33 b(the)g(class)h Fm(f)p Fp(2)p
+Fo(;)17 b Fp(3)p Fm(g)32 b Fp(is)h(transien)m(t,)g(the)g(long)g(run)g
+(prop)s(ortion)f(of)g(time)h(sp)s(en)m(t)h(there)f(is)g(0.)86
+4950 y(W)-8 b(e)33 b(can)f(no)m(w)g(write)h(the)f(long)g(run)g(prop)s
+(ortion)f(of)h(time)g(sp)s(en)m(t)h(in)f(state)g Fo(j)38
+b Fp(giv)m(en)33 b(an)f(initial)g(state)-60 5071 y Fo(i)h
+Fp(as)g(the)g(matrix)g(\()p Fo(m)734 5086 y Fl(i;j)814
+5071 y Fp(\),)1025 5540 y(\()p Fo(m)1148 5555 y Fl(i;j)1228
+5540 y Fp(\))28 b(=)1397 5160 y Fi(2)1397 5335 y(6)1397
+5395 y(6)1397 5455 y(6)1397 5515 y(6)1397 5574 y(6)1397
+5634 y(6)1397 5698 y(4)1481 5213 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1481 5213 a Fn(4)1481
+5213 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1481 5213 a 1511 5238 a Fo(=)1549 5238 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1549
+5238 a Fn(10)1549 5238 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1549 5238 a 1738 5213 a
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1738
+5213 a Fn(6)1738 5213 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1738 5213 a 1767 5238 a Fo(=)1805
+5238 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1805 5238 a Fn(10)1805 5238 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1805 5238 a 171
+w Fp(0)83 b(0)145 b(0)208 b(0)1481 5333 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1481 5333 a
+Fn(4)1481 5333 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1481 5333 a 1511 5358 a Fo(=)1549 5358

 y
 y

- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2516 3089 a Black 2541 3107 a Fr(=)p Black 2582 3107
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1549 5358 a Fn(10)1549 5358 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1549 5358 a 1738 5333

 a
 a

- currentpoint currentpoint translate 1 1 scale neg exch neg exch translate
- 2582 3107 a Fq(2)2582 3107 y
- currentpoint currentpoint translate 1 1 div 1 1 div scale neg exch
-neg exch translate
- 2582 3107 a 2652 2479
-a Fl(3)2652 2639 y(7)2652 2693 y(7)2652 2748 y(7)2652
-2802 y(7)2652 2857 y(7)2652 2912 y(7)2652 2970 y(5)3355
-2825 y Fs(\(35\))244 3365 y Ft(d\))244 3537 y Fs(T)-8
-b(o)43 b(v)m(erify)g(the)g(results)f(from)g Fg(c\))p
-Fs(,)k(w)m(e)d(calculate)i(the)d(matrix)h Fv(L)2578 3551
-y Fo(n)2670 3537 y Fs(=)2800 3501 y Fq(1)p 2797 3516
-43 4 v 2797 3568 a Fo(n)2865 3469 y Fl(P)2961 3495 y
-Fo(n)2961 3564 y(k)r Fq(=1)3109 3537 y Fv(P)3180 3504
-y Fq(\()p Fo(k)r Fq(\))3320 3537 y Fs(for)f(a)244 3650
-y(suitably)26 b(large)g Fr(n)p Fs(.)39 b(W)-8 b(e)27
-b(also)f(sim)m(ulate)h(the)f(long)g(run)f(prop)s(ortion)f(of)i(time)h
-(the)e(c)m(hain)i(sp)s(ends)244 3763 y(in)36 b(the)g(di\013eren)m(t)g
-(states,)j(with)d(the)g(in)m(tial)i(condition)f Fr(X)2269
-3777 y Fq(0)2343 3763 y Fs(=)e(2.)58 b(These)36 b(t)m(w)m(o)h(metho)s
-(ds)e(are)244 3876 y(implemen)m(ted)c(in)f(the)g(p)m(ython)g(co)s(de)h
-(b)s(elo)m(w.)246 4002 y Ff(i)r(m)r(p)r(o)r(r)r(t)41
-b Fq(numpy)49 b(a)7 b(s)51 b(n)r(p)246 4081 y Ff(i)r(m)r(p)r(o)r(r)r(t)
-44 b Fq(r)s(a)s(n)s(d)s(o)s(m)249 4238 y Ff(d)5 b(e)g(f)56
-b Fq(r)9 b(u)g(n)p 557 4238 22 4 v 41 w(c)g(h)g(a)g(i)g(n)15
-b(\()i(s)9 b(t)g(a)g(r)g(t)33 b(,)51 b(P)8 b(,)55 b(n)9
-b(\))19 b(:)424 4317 y(s)10 b(t)g(a)g(t)g(e)49 b(=)e(s)11
-b(t)g(a)g(r)g(t)427 4396 y(v)i(i)h(s)f(i)g(t)h(s)49 b(=)38
-b(n)r(p)14 b(.)19 b(a)8 b(r)g(r)g(a)g(y)23 b(\()13 b([)h(0)f(])59
-b Fd(*)d Fq(l)9 b(e)g(n)17 b(\()5 b(P)g(\))15 b(\))427
-4475 y(v)e(i)h(s)f(i)g(t)h(s)25 b([)c(s)10 b(t)g(a)g(t)g(e)25
-b(])45 b(+)-8 b(=)37 b(1)420 4554 y Ff(f)7 b(o)g(r)60
-b Fq(i)f Ff(i)6 b(n)54 b Fq(x)7 b(r)g(a)g(n)g(g)g(e)15
-b(\()9 b(n)h(\))19 b(:)588 4633 y(r)6 b(a)g(n)g(d)41
-b(=)e(r)s(a)s(n)s(d)s(o)s(m)12 b(.)i(r)s(a)s(n)s(d)s(o)s(m)d(\()f(\))
-590 4712 y Ff(f)d(o)g(r)58 b Fq(j)g Ff(i)6 b(n)55 b Fq(x)7
-b(r)g(a)g(n)g(g)g(e)14 b(\()j(l)9 b(e)g(n)18 b(\()5 b(P)t(\))16
-b(\))j(:)849 4790 y Ff(i)12 b(f)60 b Fq(r)6 b(a)g(n)g(d)39
-b Fo(<)f Fq(sum)9 b(\()c(P)j([)22 b(s)10 b(t)g(a)g(t)g(e)30
-b(])17 b([)f(:)27 b(j)17 b(+)6 b(1)g(])g(\))19 b(:)1016
-4869 y(s)10 b(t)g(a)g(t)g(e)50 b(=)c(j)1020 4948 y(v)13
-b(i)g(s)h(i)f(t)h(s)24 b([)e(j)f(])45 b(+)-8 b(=)37 b(1)1008
-5027 y Ff(b)r(r)r(e)r(a)r(k)591 5106 y(e)8 b(l)g(s)g(e)19
-b Fq(:)762 5185 y(s)10 b(t)g(a)g(t)g(e)50 b(=)45 b(l)9
-b(e)g(n)17 b(\()5 b(P)g(\))42 b Fn(\000)f Fq(1)417 5343
-y Ff(r)t(e)t(t)t(u)t(r)t(n)59 b Fq(v)14 b(i)f(s)g(i)g(t)h(s)249
-5500 y Ff(d)5 b(e)g(f)57 b Fq(p)10 b(r)g(o)g(p)g(o)g(r)g(t)g(i)g(o)g(n)
-p 855 5500 V 49 w(o)g(f)p 968 5500 V 46 w(t)g(i)g(m)g(e)p
-1182 5500 V 46 w(s)g(p)g(e)g(n)g(t)20 b(\()6 b(P)i(,)54
-b(n)10 b(\))19 b(:)414 5579 y(Ln)37 b(=)h(n)r(p)14 b(.)i(c)5
-b(o)g(p)g(y)15 b(\()5 b(P)t(\))416 5658 y(t)s(e)s(m)s(p)38
-b(=)g(n)r(p)14 b(.)i(c)5 b(o)g(p)g(y)14 b(\()6 b(P)t(\))420
-5737 y Ff(f)h(o)g(r)60 b Fq(i)f Ff(i)6 b(n)54 b Fq(x)7
-b(r)g(a)g(n)g(g)g(e)59 b(\()9 b(2)18 b(,)53 b(n)9 b(\))19
-b(:)585 5816 y(t)s(e)s(m)s(p)38 b(=)33 b(P)9 b(.)17 b(d)6
-b(o)g(t)15 b(\()c(t)s(e)s(m)s(p)e(\))p Black 1856 6065
-a Fm(8)p Black eop end
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1738 5333 a Fn(6)1738 5333 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1738 5333 a 1767 5358
+a Fo(=)1805 5358 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1805 5358 a Fn(10)1805 5358 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1805
+5358 a 171 w Fp(0)83 b(0)145 b(0)208 b(0)1464 5454 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+
+1464 5454 a Fn(16)1464 5454 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1464 5454 a 1529 5478 a
+Fo(=)1566 5478 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1566 5478 a Fn(85)1566 5478 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1566 5478
+a 1720 5454 a
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1720 5454 a Fn(24)1720 5454 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1720 5454
+a 1785 5478 a Fo(=)1823 5478 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1823 5478 a Fn(85)1823
+5478 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1823 5478 a 153 w Fp(0)83 b(0)2258 5454 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2258
+5454 a Fn(9)2258 5454 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2258 5454 a 2287 5478 a Fo(=)2325
+5478 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2325 5478 a Fn(34)2325 5478 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2325 5478 a 2514
+5454 a
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2514 5454 a Fn(9)2514 5454 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2514 5454 a 2544
+5478 a Fo(=)2581 5478 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2581 5478 a Fn(34)2581 5478 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+
+2581 5478 a 1464 5574 a
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1464 5574 a Fn(14)1464 5574 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+
+1464 5574 a 1529 5599 a Fo(=)1566 5599 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1566 5599 a
+Fn(85)1566 5599 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1566 5599 a 1720 5574 a
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1720 5574 a
+Fn(21)1720 5574 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1720 5574 a 1785 5599 a Fo(=)1823 5599
+y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 1823 5599 a Fn(85)1823 5599 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 1823 5599 a 153 w Fp(0)g(0)2240
+5574 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2240 5574 a Fn(10)2240 5574 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2240 5574 a 2305
+5599 a Fo(=)2343 5599 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2343 5599 a Fn(34)2343 5599 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+
+2343 5599 a 2496 5574 a
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2496 5574 a Fn(10)2496 5574 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+
+2496 5574 a 2561 5599 a Fo(=)2599 5599 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2599 5599 a
+Fn(34)2599 5599 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2599 5599 a 1526 5719 a Fp(0)207 b(0)145
+b(0)83 b(0)2275 5694 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2275 5694 a Fn(1)2275 5694 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2275
+5694 a 2305 5719 a Fo(=)2343 5719 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2343 5719 a Fn(2)2343
+5719 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2343 5719 a 2532 5694 a
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2532 5694 a Fn(1)2532
+5694 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2532 5694 a 2561 5719 a Fo(=)2599 5719 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2599
+5719 a Fn(2)2599 5719 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2599 5719 a 1526 5840 a Fp(0)207
+b(0)145 b(0)83 b(0)2275 5815 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2275 5815 a Fn(1)2275
+5815 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2275 5815 a 2305 5840 a Fo(=)2343 5840 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2343
+5840 a Fn(2)2343 5840 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2343 5840 a 2532 5815 a
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2532
+5815 a Fn(1)2532 5815 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2532 5815 a 2561 5840 a Fo(=)2599
+5840 y
+ currentpoint currentpoint translate 1.000000000 1.000000000 scale
+neg exch neg exch translate
+ 2599 5840 a Fn(2)2599 5840 y
+ currentpoint currentpoint translate 1 1.000000000 div 1 1.000000000
+div scale neg exch neg exch translate
+ 2599 5840 a 2670
+5160 a Fi(3)2670 5335 y(7)2670 5395 y(7)2670 5455 y(7)2670
+5515 y(7)2670 5574 y(7)2670 5634 y(7)2670 5698 y(5)3647
+5540 y Fp(\(35\))p Black 1856 6125 a(8)p Black eop end

 %%Page: 9 9
 %%Page: 9 9

-TeXDict begin 9 8 bop Black Black 583 100 a Fq(Ln)35
-b(+)-8 b(=)36 b(t)s(e)s(m)s(p)417 178 y Ff(r)t(e)t(t)t(u)t(r)t(n)46
-b Fq(Ln)5 b(/)g(n)249 336 y Ff(d)g(e)g(f)51 b Fq(m)s(a)s(i)s(n)14
-b(\()c(\))22 b(:)423 415 y(v)10 b(i)g(s)g(i)g(t)g(s)g(s)g(u)g(m)41
-b(=)d(n)r(p)14 b(.)20 b(a)8 b(r)g(r)g(a)g(y)22 b(\()14
+TeXDict begin 9 8 bop Black Black -60 40 a Fq(d\))-60
+224 y Fp(T)-8 b(o)31 b(v)m(erify)i(the)f(results)h(from)e
+Fe(c\))p Fp(,)h(w)m(e)g(calculate)g(the)g(matrix)g Fj(L)2298
+239 y Fl(n)2373 224 y Fp(=)2490 185 y Fn(1)p 2487 201
+43 4 v 2487 259 a Fl(n)2556 150 y Fi(P)2661 176 y Fl(n)2661
+253 y(k)r Fn(=1)2811 224 y Fj(P)2888 188 y Fn(\()p Fl(k)r
+Fn(\))3016 224 y Fp(for)f(a)g(suitably)i(large)-60 345
+y Fo(n)p Fp(.)42 b(W)-8 b(e)30 b(also)e(sim)m(ulate)j(the)e(long)f(run)
+h(prop)s(ortion)g(of)f(time)h(the)g(c)m(hain)h(sp)s(ends)g(in)f(the)h
+(di\013eren)m(t)g(states,)-60 465 y(with)35 b(the)g(in)m(tial)g
+(condition)g Fo(X)1099 480 y Fn(0)1169 465 y Fp(=)c(2.)49
+b(These)36 b(t)m(w)m(o)f(metho)s(ds)h(are)e(implemen)m(ted)j(in)e(the)g
+(p)m(ython)g(co)s(de)-60 585 y(b)s(elo)m(w.)-58 705 y
+Fd(i)r(m)r(p)r(o)r(r)r(t)41 b Fn(numpy)49 b(a)7 b(s)52
+b(n)r(p)-58 784 y Fd(i)r(m)r(p)r(o)r(r)r(t)44 b Fn(r)s(a)s(n)s(d)s(o)s
+(m)-55 942 y Fd(d)5 b(e)g(f)56 b Fn(r)9 b(u)g(n)p 254
+942 22 4 v 41 w(c)g(h)g(a)g(i)g(n)15 b(\()i(s)9 b(t)g(a)g(r)g(t)33
+b(,)51 b(P)8 b(,)55 b(n)9 b(\))19 b(:)120 1020 y(s)10
+b(t)g(a)g(t)g(e)49 b(=)e(s)11 b(t)g(a)g(r)g(t)123 1099
+y(v)j(i)f(s)g(i)g(t)h(s)49 b(=)39 b(n)r(p)13 b(.)20 b(a)8
+b(r)g(r)g(a)g(y)22 b(\()14 b([)f(0)g(])59 b Fb(*)d Fn(l)9
+b(e)g(n)17 b(\()5 b(P)g(\))15 b(\))123 1178 y(v)f(i)f(s)g(i)g(t)h(s)25
+b([)c(s)10 b(t)g(a)g(t)g(e)25 b(])45 b(+)-8 b(=)37 b(1)116
+1257 y Fd(f)7 b(o)g(r)60 b Fn(i)f Fd(i)6 b(n)54 b Fn(x)7
+b(r)g(a)g(n)g(g)g(e)15 b(\()9 b(n)h(\))19 b(:)284 1336
+y(r)6 b(a)g(n)g(d)41 b(=)e(r)s(a)s(n)s(d)s(o)s(m)13 b(.)g(r)s(a)s(n)s
+(d)s(o)s(m)f(\()e(\))286 1415 y Fd(f)d(o)g(r)58 b Fn(j)g
+Fd(i)6 b(n)55 b Fn(x)7 b(r)g(a)g(n)g(g)g(e)14 b(\()j(l)9
+b(e)g(n)18 b(\()5 b(P)t(\))16 b(\))j(:)545 1494 y Fd(i)12
+b(f)60 b Fn(r)6 b(a)g(n)g(d)39 b Fl(<)g Fn(sum)8 b(\()d(P)j([)22
+b(s)10 b(t)g(a)g(t)g(e)30 b(])17 b([)f(:)27 b(j)17 b(+)6
+b(1)g(])g(\))19 b(:)713 1573 y(s)10 b(t)g(a)g(t)g(e)49
+b(=)d(j)716 1651 y(v)13 b(i)g(s)h(i)f(t)h(s)25 b([)c(j)g(])45
+b(+)-8 b(=)37 b(1)704 1730 y Fd(b)r(r)r(e)r(a)r(k)287
+1809 y(e)8 b(l)g(s)g(e)19 b Fn(:)458 1888 y(s)10 b(t)g(a)g(t)g(e)50
+b(=)45 b(l)9 b(e)g(n)17 b(\()5 b(P)g(\))42 b Fk(\000)f
+Fn(1)113 2046 y Fd(r)t(e)t(t)t(u)t(r)t(n)59 b Fn(v)14
+b(i)f(s)g(i)h(t)f(s)-55 2203 y Fd(d)5 b(e)g(f)58 b Fn(p)10
+b(r)g(o)g(p)g(o)g(r)g(t)g(i)g(o)g(n)p 551 2203 V 48 w(o)g(f)p
+664 2203 V 46 w(t)g(i)g(m)g(e)p 878 2203 V 46 w(s)g(p)g(e)g(n)g(t)20
+b(\()6 b(P)i(,)55 b(n)9 b(\))19 b(:)110 2282 y(Ln)37
+b(=)h(n)r(p)14 b(.)i(c)5 b(o)g(p)g(y)15 b(\()5 b(P)g(\))112
+2361 y(t)s(e)s(m)s(p)38 b(=)g(n)r(p)14 b(.)i(c)5 b(o)g(p)g(y)15
+b(\()5 b(P)t(\))116 2440 y Fd(f)i(o)g(r)60 b Fn(i)f Fd(i)6
+b(n)54 b Fn(x)7 b(r)g(a)g(n)g(g)g(e)59 b(\()9 b(2)18
+b(,)53 b(n)9 b(\))19 b(:)281 2519 y(t)s(e)s(m)s(p)38
+b(=)33 b(P)9 b(.)17 b(d)6 b(o)g(t)15 b(\()c(t)s(e)s(m)s(p)e(\))279
+2598 y(Ln)35 b(+)-8 b(=)36 b(t)s(e)s(m)s(p)113 2677 y
+Fd(r)t(e)t(t)t(u)t(r)t(n)46 b Fn(Ln)5 b(/)g(n)-55 2834
+y Fd(d)g(e)g(f)51 b Fn(m)s(a)s(i)s(n)14 b(\()c(\))22
+b(:)119 2913 y(v)10 b(i)g(s)g(i)g(t)g(s)g(s)g(u)g(m)42
+b(=)c(n)r(p)14 b(.)19 b(a)8 b(r)g(r)g(a)g(y)22 b(\()14

 b([)f(.)g(0)28 b(,)13 b(.)g(0)28 b(,)13 b(.)g(0)28 b(,)13
 b([)f(.)g(0)28 b(,)13 b(.)g(0)28 b(,)13 b(.)g(0)28 b(,)13

-b(.)g(0)28 b(,)13 b(.)g(0)28 b(,)13 b(.)g(0)h(])f(\))410
-494 y(P)34 b(=)k(n)r(p)14 b(.)19 b(a)8 b(r)g(r)g(a)g(y)22
-b(\()15 b([)f([)f(.)h(5)29 b(,)66 b(.)11 b(5)21 b(,)63
-b(.)11 b(0)20 b(,)63 b(.)11 b(0)20 b(,)63 b(.)11 b(0)21
-b(,)65 b(.)12 b(0)h(])24 b(,)1018 573 y([)11 b(1)g(.)g(0)h(/)g(3)g(.)f
+b(.)g(0)28 b(,)13 b(.)g(0)28 b(,)13 b(.)g(0)h(])f(\))107
+2992 y(P)33 b(=)38 b(n)r(p)14 b(.)19 b(a)8 b(r)g(r)g(a)g(y)23
+b(\()14 b([)g([)g(.)f(5)29 b(,)66 b(.)11 b(5)21 b(,)63
+b(.)11 b(0)20 b(,)63 b(.)11 b(0)21 b(,)62 b(.)11 b(0)21
+b(,)65 b(.)12 b(0)h(])25 b(,)714 3071 y([)11 b(1)g(.)h(0)f(/)h(3)g(.)f

 (0)23 b(,)64 b(2)10 b(.)g(0)g(/)g(3)g(.)g(0)23 b(,)63
 (0)23 b(,)64 b(2)10 b(.)g(0)g(/)g(3)g(.)g(0)23 b(,)63

-b(.)11 b(0)20 b(,)63 b(.)11 b(0)21 b(,)63 b(.)11 b(0)20
-b(,)65 b(.)12 b(0)h(])25 b(,)1018 652 y([)11 b(1)g(.)g(0)h(/)g(3)g(.)f
+b(.)11 b(0)21 b(,)63 b(.)11 b(0)20 b(,)63 b(.)11 b(0)20
+b(,)65 b(.)12 b(0)h(])25 b(,)714 3150 y([)11 b(1)g(.)h(0)f(/)h(3)g(.)f

 (0)23 b(,)64 b(.)11 b(0)20 b(,)63 b(.)11 b(0)21 b(,)63
 b(1)10 b(.)g(0)g(/)g(3)g(.)g(0)23 b(,)63 b(1)10 b(.)g(0)g(/)g(6)g(.)g
 (0)23 b(,)64 b(.)11 b(0)20 b(,)63 b(.)11 b(0)21 b(,)63
 b(1)10 b(.)g(0)g(/)g(3)g(.)g(0)23 b(,)63 b(1)10 b(.)g(0)g(/)g(6)g(.)g

-(0)23 b(,)64 b(1)12 b(.)f(0)g(/)h(6)g(.)f(0)h(])22 b(,)1018
-731 y([)11 b(1)g(.)g(0)h(/)g(6)g(.)f(0)23 b(,)64 b(1)10
+(0)23 b(,)64 b(1)12 b(.)f(0)h(/)f(6)h(.)f(0)h(])22 b(,)714
+3229 y([)11 b(1)g(.)h(0)f(/)h(6)g(.)f(0)23 b(,)64 b(1)10

 b(.)g(0)g(/)g(6)g(.)g(0)23 b(,)62 b(1)9 b(/)g(6)g(.)g(0)20
 b(.)g(0)g(/)g(6)g(.)g(0)23 b(,)62 b(1)9 b(/)g(6)g(.)g(0)20

-b(,)61 b(.)11 b(0)21 b(,)63 b(1)10 b(.)g(0)g(/)g(3)g(.)g(0)23
-b(,)64 b(1)12 b(.)f(0)g(/)h(6)g(.)f(0)h(])22 b(,)1019
-809 y([)12 b(.)g(0)25 b(,)65 b(.)11 b(0)21 b(,)63 b(.)11
-b(0)20 b(,)63 b(.)11 b(0)20 b(,)63 b(.)11 b(0)21 b(,)64
-b(1)12 b(.)f(0)h(])24 b(,)1019 888 y([)12 b(.)g(0)25
+b(,)62 b(.)11 b(0)20 b(,)63 b(1)10 b(.)g(0)g(/)g(3)g(.)g(0)23
+b(,)64 b(1)12 b(.)f(0)h(/)f(6)h(.)f(0)h(])22 b(,)715
+3308 y([)12 b(.)g(0)25 b(,)65 b(.)11 b(0)21 b(,)63 b(.)11
+b(0)20 b(,)63 b(.)11 b(0)21 b(,)62 b(.)11 b(0)21 b(,)64
+b(1)12 b(.)g(0)g(])23 b(,)715 3387 y([)12 b(.)g(0)25

 b(,)65 b(.)11 b(0)21 b(,)63 b(.)11 b(0)20 b(,)63 b(.)11
 b(,)65 b(.)11 b(0)21 b(,)63 b(.)11 b(0)20 b(,)63 b(.)11

-b(0)20 b(,)63 b(1)10 b(.)g(0)20 b(,)67 b(.)14 b(0)i(])e(])h(\))420
-1046 y Ff(f)7 b(o)g(r)60 b Fq(i)f Ff(i)6 b(n)54 b Fq(x)7
+b(0)21 b(,)62 b(1)10 b(.)g(0)20 b(,)67 b(.)14 b(0)i(])e(])h(\))116
+3544 y Fd(f)7 b(o)g(r)60 b Fn(i)f Fd(i)6 b(n)54 b Fn(x)7

 b(r)g(a)g(n)g(g)g(e)16 b(\()8 b(5)g(0)g(0)g(0)g(\))23
 b(r)g(a)g(n)g(g)g(e)16 b(\()8 b(5)g(0)g(0)g(0)g(\))23

-b(:)592 1125 y(v)10 b(i)g(s)g(i)g(t)g(s)g(s)g(u)g(m)40
-b(+)-8 b(=)42 b(r)9 b(u)g(n)p 1277 1125 22 4 v 41 w(c)g(h)g(a)g(i)g(n)
-16 b(\()9 b(2)19 b(,)49 b(P)7 b(,)61 b(1)7 b(0)g(0)g(0)g(\))419
-1283 y Ff(p)f(r)g(i)g(n)g(t)55 b Fq(v)10 b(i)g(s)g(i)g(t)g(s)g(s)g(u)g
+b(:)288 3623 y(v)10 b(i)g(s)g(i)g(t)g(s)g(s)g(u)g(m)40
+b(+)-8 b(=)42 b(r)9 b(u)g(n)p 973 3623 V 41 w(c)g(h)g(a)g(i)g(n)16
+b(\()9 b(2)19 b(,)49 b(P)7 b(,)61 b(1)7 b(0)g(0)g(0)g(\))115
+3781 y Fd(p)f(r)g(i)g(n)g(t)55 b Fn(v)10 b(i)g(s)g(i)g(t)g(s)g(s)g(u)g

 (m)51 b(/)c(sum)8 b(\()17 b(v)10 b(i)g(s)g(i)g(t)g(s)g(s)g(u)g(m)j(\))
 (m)51 b(/)c(sum)8 b(\()17 b(v)10 b(i)g(s)g(i)g(t)g(s)g(s)g(u)g(m)j(\))

-419 1362 y Ff(p)6 b(r)g(i)g(n)g(t)56 b Fq(p)10 b(r)g(o)g(p)g(o)g(r)g(t)
-g(i)g(o)g(n)p 1109 1362 V 48 w(o)g(f)p 1222 1362 V 46
-w(t)g(i)g(m)g(e)p 1436 1362 V 46 w(s)g(p)g(e)g(n)g(t)20
-b(\()6 b(P)i(,)60 b(5)7 b(0)g(0)g(\))256 1519 y Ff(i)12
-b(f)p 383 1519 V 417 1519 V 130 w Fq(n)c(a)g(m)g(e)p
-647 1519 V 680 1519 V 110 w(=)-8 b(=)48 b(')p 935 1519
-V 970 1519 V 86 w(m)9 b(a)g(i)g(n)p 1195 1519 V 1230
-1519 V 95 w(')19 b(:)417 1598 y(m)s(a)s(i)s(n)14 b(\()c(\))p
-Black Black 244 1761 a Fs(When)30 b(calculating)j Fv(L)1032
-1775 y Fo(n)1078 1761 y Fs(,)e(w)m(e)g(c)m(hose)g Fr(n)25
-b Fs(=)g(500.)42 b(This)30 b(matrix)g(b)s(ecomes)960
-2240 y Fv(L)1023 2254 y Fq(500)1158 2240 y Fp(\031)1254
-1893 y Fl(2)1254 2053 y(6)1254 2108 y(6)1254 2162 y(6)1254
-2217 y(6)1254 2271 y(6)1254 2326 y(6)1254 2384 y(4)1315
-1957 y Fs(0)p Fr(:)p Fs(40)84 b(0)p Fr(:)p Fs(60)143
-b(0)200 b(0)f(0)h(0)1315 2070 y(0)p Fr(:)p Fs(40)84 b(0)p
-Fr(:)p Fs(60)143 b(0)200 b(0)f(0)h(0)1315 2183 y(0)p
-Fr(:)p Fs(19)84 b(0)p Fr(:)p Fs(28)h(0)p Fr(:)p Fs(00)g(0)p
-Fr(:)p Fs(00)f(0)p Fr(:)p Fs(26)h(0)p Fr(:)p Fs(26)1315
-2296 y(0)p Fr(:)p Fs(16)f(0)p Fr(:)p Fs(25)h(0)p Fr(:)p
-Fs(00)g(0)p Fr(:)p Fs(00)f(0)p Fr(:)p Fs(29)h(0)p Fr(:)p
-Fs(29)1373 2409 y(0)199 b(0)h(0)g(0)141 b(0)p Fr(:)p
-Fs(50)85 b(0)p Fr(:)p Fs(50)1373 2522 y(0)199 b(0)h(0)g(0)141
-b(0)p Fr(:)p Fs(50)85 b(0)p Fr(:)p Fs(50)2700 1893 y
-Fl(3)2700 2053 y(7)2700 2108 y(7)2700 2162 y(7)2700 2217
-y(7)2700 2271 y(7)2700 2326 y(7)2700 2384 y(5)2775 2240
-y Fr(;)555 b Fs(\(36\))244 2718 y(after)30 b(some)h(rounding.)39
-b(W)-8 b(e)32 b(sim)m(ulated)e(the)h(\014rst)e(thousand)g(steps)h(of)g
-(the)h(c)m(hain)f(\014v)m(e)h(thou-)244 2831 y(sand)24
-b(times.)40 b(The)24 b(prop)s(ortion)h(of)g(time)h(sp)s(en)m(t)e(in)h
-(eac)m(h)i(state)f(then)f(ga)m(v)m(e)i(us)e(some)g(estimates)244
-2944 y(for)30 b Fr(m)463 2958 y Fq(2)p Fo(i)1103 3137
-y Fr(m)1183 3151 y Fq(20)1283 3137 y Fp(\031)25 b Fs(0)p
-Fr(:)p Fs(189)p Fr(;)15 b(m)1704 3151 y Fq(21)1806 3137
-y Fp(\031)25 b Fs(0)p Fr(:)p Fs(283)p Fr(;)15 b(m)2227
-3151 y Fq(22)2329 3137 y Fp(\031)25 b Fs(0)p Fr(:)p Fs(001)p
-Fr(;)1103 3274 y(m)1183 3288 y Fq(23)1283 3274 y Fp(\031)g
-Fs(0)p Fr(:)p Fs(000)p Fr(;)15 b(m)1704 3288 y Fq(24)1806
-3274 y Fp(\031)25 b Fs(0)p Fr(:)p Fs(263)p Fr(;)15 b(m)2227
-3288 y Fq(25)2329 3274 y Fp(\031)25 b Fs(0)p Fr(:)p Fs(263)p
-Fr(:)3355 3206 y Fs(\(37\))244 3476 y(These)34 b(results)g(all)i
-(coincide)f(w)m(ell)h(with)e(the)g(results)h(from)f Fg(c\))p
-Fs(,)h(thereb)m(y)g(making)g(them)f(b)s(e-)244 3589 y(liev)-5
-b(able.)p Black 1856 6065 a Fm(9)p Black eop end
+115 3860 y Fd(p)6 b(r)g(i)g(n)g(t)56 b Fn(p)10 b(r)g(o)g(p)g(o)g(r)g(t)
+g(i)g(o)g(n)p 806 3860 V 48 w(o)g(f)p 918 3860 V 46 w(t)g(i)g(m)g(e)p
+1132 3860 V 47 w(s)g(p)g(e)g(n)g(t)19 b(\()6 b(P)i(,)60
+b(5)7 b(0)g(0)g(\))-48 4018 y Fd(i)12 b(f)p 79 4018 V
+113 4018 V 130 w Fn(n)c(a)g(m)g(e)p 343 4018 V 377 4018
+V 110 w(=)-8 b(=)48 b(')p 631 4018 V 666 4018 V 86 w(m)9
+b(a)g(i)g(n)p 891 4018 V 926 4018 V 95 w(')19 b(:)113
+4096 y(m)s(a)s(i)s(n)14 b(\()c(\))p Black Black -60 4257
+a Fp(When)33 b(calculating)h Fj(L)785 4272 y Fl(n)832
+4257 y Fp(,)f(w)m(e)g(c)m(hose)h Fo(n)28 b Fp(=)g(500.)42
+b(This)34 b(matrix)f(b)s(ecomes)909 4738 y Fj(L)976 4753
+y Fn(500)1114 4738 y Fm(\031)1219 4359 y Fi(2)1219 4534
+y(6)1219 4594 y(6)1219 4654 y(6)1219 4714 y(6)1219 4773
+y(6)1219 4833 y(6)1219 4897 y(4)1286 4437 y Fp(0)p Fo(:)p
+Fp(40)82 b(0)p Fo(:)p Fp(60)145 b(0)207 b(0)h(0)f(0)1286
+4557 y(0)p Fo(:)p Fp(40)82 b(0)p Fo(:)p Fp(60)145 b(0)207
+b(0)h(0)f(0)1286 4677 y(0)p Fo(:)p Fp(19)82 b(0)p Fo(:)p
+Fp(28)h(0)p Fo(:)p Fp(00)f(0)p Fo(:)p Fp(00)h(0)p Fo(:)p
+Fp(26)f(0)p Fo(:)p Fp(26)1286 4798 y(0)p Fo(:)p Fp(16)g(0)p
+Fo(:)p Fp(25)h(0)p Fo(:)p Fp(00)f(0)p Fo(:)p Fp(00)h(0)p
+Fo(:)p Fp(29)f(0)p Fo(:)p Fp(29)1348 4918 y(0)208 b(0)f(0)g(0)146
+b(0)p Fo(:)p Fp(50)82 b(0)p Fo(:)p Fp(50)1348 5039 y(0)208
+b(0)f(0)g(0)146 b(0)p Fo(:)p Fp(50)82 b(0)p Fo(:)p Fp(50)2741
+4359 y Fi(3)2741 4534 y(7)2741 4594 y(7)2741 4654 y(7)2741
+4714 y(7)2741 4773 y(7)2741 4833 y(7)2741 4897 y(5)2824
+4738 y Fo(;)796 b Fp(\(36\))-60 5219 y(after)26 b(some)h(rounding.)42
+b(W)-8 b(e)26 b(sim)m(ulated)i(the)f(\014rst)f(thousand)h(steps)h(of)d
+(the)i(c)m(hain)g(\014v)m(e)h(thousand)e(times.)-60 5340
+y(The)34 b(prop)s(ortion)e(of)g(time)h(sp)s(en)m(t)h(in)e(eac)m(h)i
+(state)f(then)g(ga)m(v)m(e)h(us)f(some)g(estimates)h(for)e
+Fo(m)3266 5355 y Fn(2)p Fl(i)1050 5519 y Fo(m)1135 5534
+y Fn(20)1238 5519 y Fm(\031)c Fp(0)p Fo(:)p Fp(189)p
+Fo(;)17 b(m)1695 5534 y Fn(21)1797 5519 y Fm(\031)28
+b Fp(0)p Fo(:)p Fp(283)p Fo(;)17 b(m)2254 5534 y Fn(22)2356
+5519 y Fm(\031)28 b Fp(0)p Fo(:)p Fp(001)p Fo(;)1050
+5664 y(m)1135 5679 y Fn(23)1238 5664 y Fm(\031)g Fp(0)p
+Fo(:)p Fp(000)p Fo(;)17 b(m)1695 5679 y Fn(24)1797 5664
+y Fm(\031)28 b Fp(0)p Fo(:)p Fp(263)p Fo(;)17 b(m)2254
+5679 y Fn(25)2356 5664 y Fm(\031)28 b Fp(0)p Fo(:)p Fp(263)p
+Fo(:)3647 5593 y Fp(\(37\))-60 5851 y(These)34 b(results)g(all)f
+(coincide)h(w)m(ell)g(with)f(the)g(results)h(from)e Fe(c\))p
+Fp(,)g(thereb)m(y)j(making)e(them)g(b)s(eliev)-5 b(able.)p
+Black 1856 6125 a(9)p Black eop end

 %%Trailer
 
 userdict /end-hook known{end-hook}if
 %%Trailer
 
 userdict /end-hook known{end-hook}if

diff --git a/rapport.tex b/rapport.tex
index 8cf67196d77ef5ae6962f5e384349168d830a833..b900ed0b0d888c6bfcde1869a0ecfe2f4876bb59 100644 (file)
--- a/rapport.tex
+++ b/rapport.tex
@@ -9,7 +9,7 @@
 \usepackage{color}
 \usepackage{xfrac}
 \usepackage{amssymb, amsmath}
 \usepackage{color}
 \usepackage{xfrac}
 \usepackage{amssymb, amsmath}

-\usepackage[margin=1in]{geometry}
+\usepackage[margin=0.9in]{geometry}

 \setcounter{secnumdepth}{0}
 
 \lstset{ %
 \setcounter{secnumdepth}{0}
 
 \lstset{ %


@@ -44,14 +44,11 @@
 
 \title{Semester Project 1 in TMA4265}
 \author{
 
 \title{Semester Project 1 in TMA4265}
 \author{

-        Candidate number: XXXXXX
+        Candidate number: 10037

 }
 
 \maketitle
 
 }
 
 \maketitle
 

-\abstract{
-}
-

 %==============00 PROBLEM 1 00================%
 \section{Problem 1}
 %==========00 a 00============%
 %==============00 PROBLEM 1 00================%
 \section{Problem 1}
 %==========00 a 00============%


@@ -80,8 +77,8 @@ are recurrent with period $d = 1$, while the class $\left\{1, ..., N-1\right\}$
 transient with period $d = 2$.
 
 \item[$r_0 = 1, 0 < r < 1$] \hfill \\
 transient with period $d = 2$.
 
 \item[$r_0 = 1, 0 < r < 1$] \hfill \\

-This case behaves like the previous case except that the period of the transient
-class $\left\{1, ..., N-1\right\}$ has period $d = 1$.
+This case behaves like the previous case except that the transient class
+$\left\{1, ..., N-1\right\}$ has period $d = 1$.

 
 \end{description}
 
 
 \end{description}
 


@@ -144,7 +141,7 @@ and $\pi_N$ as
   \pi_N = \frac{p^N}{q^N}\pi_0.
 \end{equation}
 This concludes the derivation of the limiting probabilities for the ergodic
   \pi_N = \frac{p^N}{q^N}\pi_0.
 \end{equation}
 This concludes the derivation of the limiting probabilities for the ergodic

-chains where $r_0 \neq 0$
+chains where $r_0 \neq 0$.

 
 %-----------------------------------------------------------
 When $r_0 = 1$ the Markov chain is equivalent to the Gamblers ruin problem. The
 
 %-----------------------------------------------------------
 When $r_0 = 1$ the Markov chain is equivalent to the Gamblers ruin problem. The


@@ -276,16 +273,20 @@ respectively.
 \subsection{d)}
 The following Python code will simulate the Markov chain to verify the answers
 given in sub-problem \emph{b)} and \emph{c)}.
 \subsection{d)}
 The following Python code will simulate the Markov chain to verify the answers
 given in sub-problem \emph{b)} and \emph{c)}.

-% KANSKJE GJØRE DENNE OM TIL ET VEDLEGG???????!!!!

 \lstinputlisting[language=Python]{simulate.py}
 
 \lstinputlisting[language=Python]{simulate.py}
 

+Figure \ref{fig:simulated_histories} shows a simulation of the chain when
+starting in state 25, 50 and 75. We see that the simulation starting in state 50
+is the one using the most steps to get to state 100.
+

 Table \ref{tab:jumps_to_100} and \ref{tab:ratio_to_100} shows the results of
 5000 simulations of the given Markov chain. One simulation was run with $r_0 =
 0.5$, where the average number of jumps before ending up in state 100 for the
 first time is shown in table \ref{tab:jumps_to_100}. The other simulation was
 run with $r_0 = 1$, making it possible to get stuck in state $0$ and $100$, and
 the estimated probability of ending up in state $100$ is shown in table
 Table \ref{tab:jumps_to_100} and \ref{tab:ratio_to_100} shows the results of
 5000 simulations of the given Markov chain. One simulation was run with $r_0 =
 0.5$, where the average number of jumps before ending up in state 100 for the
 first time is shown in table \ref{tab:jumps_to_100}. The other simulation was
 run with $r_0 = 1$, making it possible to get stuck in state $0$ and $100$, and
 the estimated probability of ending up in state $100$ is shown in table

-\ref{tab:ratio_to_100}.
+\ref{tab:ratio_to_100}. The results coincide well with the calculated values
+from sub-problem \emph{b)} an \emph{c)}.

 
 \begin{table}[h]
   \caption{\sf Avg. number of jumps before ending up in state $100$, over $5000$ runs}
 
 \begin{table}[h]
   \caption{\sf Avg. number of jumps before ending up in state $100$, over $5000$ runs}


@@ -319,14 +320,20 @@ Start ($i$) & $P_{i,N}$ \\
   \end{center}
 \end{table}
 
   \end{center}
 \end{table}
 

+\begin{figure}
+  \includegraphics[width=\textwidth]{figur}
+  \caption{\sf Simulated time history when starting in state 25, 50 and 75}
+  \label{fig:simulated_histories}
+\end{figure}
+

 \subsubsection{Confidence intervals}
 We are asked to compute a 95\% confidence interval for the expected amount of
 \subsubsection{Confidence intervals}
 We are asked to compute a 95\% confidence interval for the expected amount of

-time the Markov chain takes to reach state 100 for the first time. In other word
-we want a confidence interval for $E(N_{i,N})$ given by equation \eqref{eq:nin}.
-When using results from our simulations we look at $\bar{T}$, the mean time it
-takes to get to state $N$. Since we do not know the variance we use the sample
-variance, which is unbiased and is therefore a good approximation for large $n$.
-The sample variance is calculated as follows:
+time the Markov chain takes to reach state 100 for the first time. In other
+words we want a confidence interval for $E(N_{i,N})$ given by equation
+\eqref{eq:nin}. When using results from our simulations we look at $\bar{T}$,
+the mean time it takes to get to state $N$. Since we do not know the variance we
+use the sample variance, which is unbiased and is therefore a good approximation
+for large $n$. The sample variance is calculated as follows:

 \begin{equation}
   \label{eq:samplevariance}
   S^2 = \frac{1}{N-1} \sum_{k=1}^{N}(T_k - \bar{T})^2.
 \begin{equation}
   \label{eq:samplevariance}
   S^2 = \frac{1}{N-1} \sum_{k=1}^{N}(T_k - \bar{T})^2.


@@ -334,7 +341,7 @@ The sample variance is calculated as follows:
 With this as the variance we can write a standardized normal random variable as
 \begin{equation}
   \label{eq:z}
 With this as the variance we can write a standardized normal random variable as
 \begin{equation}
   \label{eq:z}

-  Z = \frac{\bar{T} - \mu}{\frac{S}{\sqrt{N}}}.
+  Z \approx \frac{\bar{T} - \mu}{\frac{S}{\sqrt{N}}}.

 \end{equation}
 A 95\% confidence interval for $mu$ is then given by
 \begin{equation}
 \end{equation}
 A 95\% confidence interval for $mu$ is then given by
 \begin{equation}


@@ -357,11 +364,11 @@ that the Markov chain ever visits state 100. We denote a success, the travel
 from state $i$ to state $n$, as $p$. $X$ is the number of successes in $N$
 trials. A point estimator for $p$ is given by $\hat{p} = \frac{X}{N}$. Since
 these trials have only to possible outcomes, success and failure, $X$ is
 from state $i$ to state $n$, as $p$. $X$ is the number of successes in $N$
 trials. A point estimator for $p$ is given by $\hat{p} = \frac{X}{N}$. Since
 these trials have only to possible outcomes, success and failure, $X$ is

-binomially distributed with parameter $Np$. For large $N$ we can find a
+binomially distributed with parameter $Np$. For large $N$ we can approximate a

 standardized normally distributed random variable as show below.
 \begin{equation}
   \label{eq:z2}
 standardized normally distributed random variable as show below.
 \begin{equation}
   \label{eq:z2}

-  Z = \frac{\hat{p} - p}{\sqrt{\frac{\hat{p}(1-\hat{p})}{N}}}.
+  Z \approx \frac{\hat{p} - p}{\sqrt{\frac{\hat{p}(1-\hat{p})}{N}}}.

 \end{equation}
 A 95\% confidence interval is then given by
 \begin{equation}
 \end{equation}
 A 95\% confidence interval is then given by
 \begin{equation}

diff --git a/simulate.py b/simulate.py
index 7dfb8bb0b8b6e6cea7b45fc2124d543d195ddcce..01ad5498f0e881465b483aa72e64743654bd0e09 100644 (file)
--- a/simulate.py
+++ b/simulate.py
@@ -4,7 +4,7 @@ import random
 def run_chain(start, end, r0, p, q):
     current = start
 
 def run_chain(start, end, r0, p, q):
     current = start
 

-    r = random.SystemRandom()
+    r = random.random()

     steps = 0
     while True:
         rand = r.random()
     steps = 0
     while True:
         rand = r.random()


@@ -54,9 +54,12 @@ def main():
 
         S_steps = sum(abs(x - mean_steps)**2 for x in steps[start]) / (runs - 1)
 
 
         S_steps = sum(abs(x - mean_steps)**2 for x in steps[start]) / (runs - 1)
 

-        print "Start in %d, r0 = 1, %.4f runs get to 100" % (start, ratio_to_100)
-        print "Start in %d, r0 = 0.5, %.4f steps to get to 100" % (start, np.mean(steps[start]))
-        print "Start in %d, r0 = 0.5, %.4f runs get to 100 in 1000 or more steps" % (start, float(runs_gte_1000)/float(runs))
+        print "Start in %d, r0 = 1, %.4f runs get to 100" \
+                % (start, ratio_to_100)
+        print "Start in %d, r0 = 0.5, %.4f steps to get to 100" \
+                % (start, np.mean(steps[start]))
+        print "Start in %d, r0 = 0.5, %.4f runs get to 100 in 1000 or more steps" \
+                % (start, float(runs_gte_1000)/float(runs))

 
 if __name__ == '__main__':
     main()
 
 if __name__ == '__main__':
     main()