{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Input" 2 19 "" 0 1 255 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 256 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 260 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 261 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 265 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 266 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" 19 269 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 271 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 272 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 275 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 276 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 277 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 278 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 279 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 280 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 281 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 } {CSTYLE "" -1 282 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 283 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 284 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 285 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 286 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 287 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 288 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 289 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 290 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 291 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 292 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 293 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 294 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 295 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 296 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 297 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 298 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 299 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 300 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 301 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 302 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 303 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 304 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 305 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 306 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 307 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 308 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 309 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 310 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 311 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 312 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 313 "" 0 1 255 0 0 1 0 1 0 0 0 0 0 0 0 }{CSTYLE " " -1 314 "" 0 1 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 315 "" 0 1 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 316 "" 0 1 255 0 0 1 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 317 "" 1 12 255 0 0 1 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 318 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 319 "" 1 12 255 0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 320 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 321 "" 1 12 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 322 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 323 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 324 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 325 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 326 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 327 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" 19 328 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 329 "" 0 1 255 0 0 1 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 330 "" 0 1 255 0 0 1 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 331 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 332 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 333 "" 1 12 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 334 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 335 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 336 "" 1 14 255 0 0 1 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 337 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 } {CSTYLE "" -1 338 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 339 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 340 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 341 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 342 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 343 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 344 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 345 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 346 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 347 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 348 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 349 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 350 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 351 "" 0 1 255 0 0 1 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 352 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 353 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 354 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 355 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 356 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 357 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 358 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 359 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 360 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 361 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 362 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 363 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 364 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 365 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 366 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 367 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 368 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 369 "" 1 12 255 0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 370 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 371 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 372 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 373 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" 19 374 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 375 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 376 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 377 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 378 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " 19 379 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 380 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 381 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 382 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 383 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 384 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 385 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 386 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 387 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 388 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 389 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 390 "" 1 14 255 0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 391 "" 1 14 255 0 0 1 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 392 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 393 "" 1 14 255 0 0 1 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 394 "" 0 1 255 0 0 1 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 395 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 396 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 397 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 398 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 399 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 400 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 401 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 402 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 403 "" 1 14 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "" -1 404 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 405 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 } {CSTYLE "" -1 406 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 407 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 408 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 409 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 410 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 411 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 412 "" 1 14 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 413 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 414 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 415 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 416 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 417 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 418 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 419 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 420 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 421 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 422 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 423 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 424 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 } {CSTYLE "" -1 425 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 426 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 427 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 428 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 429 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 430 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 431 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 432 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 433 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 434 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" 19 435 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 436 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 437 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 438 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 439 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 440 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 441 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 442 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 443 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 444 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 445 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 446 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 447 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 448 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 449 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 450 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 451 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 452 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 453 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 454 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 455 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 456 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 457 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 458 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 459 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 460 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 461 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 462 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 463 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 464 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 465 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 466 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 467 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 468 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 469 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 470 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 471 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 472 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 473 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 474 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 475 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 476 "" 0 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 477 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 478 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 479 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 480 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 481 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 482 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 483 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 484 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 485 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 486 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 487 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 488 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 489 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 490 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 491 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 492 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 493 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 494 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 495 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 496 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 497 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 498 "" 1 12 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 499 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 500 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 501 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" 19 502 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 503 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 504 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 505 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 506 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " 19 507 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 508 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 509 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 510 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" 19 511 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 512 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 513 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 514 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 515 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 516 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 517 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 518 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 519 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 520 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 521 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 522 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 523 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 524 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 525 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 526 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 527 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 528 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 529 "" 1 12 255 0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 530 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 531 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 532 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 } {CSTYLE "" -1 533 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 534 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 535 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 536 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 537 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE " " -1 538 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 539 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 540 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 541 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 542 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 543 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 544 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" 19 545 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" 19 546 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE " " 19 547 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" 19 548 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" 19 549 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" 19 550 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" 19 551 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" 19 552 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" 19 553 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" 19 554 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 555 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 556 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 557 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 558 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 559 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" 19 560 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 561 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 562 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 563 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 564 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 565 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 566 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 567 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 568 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 569 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 570 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 571 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 572 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 573 "" 1 12 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 574 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 575 "" 1 12 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 576 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 577 "" 1 12 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 578 "" 1 14 255 0 0 1 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 579 "" 1 14 255 0 0 1 1 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 580 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 581 "" 1 12 255 0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 582 "" 1 12 255 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 583 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 584 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 585 "" 1 14 255 0 0 1 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 586 "" 1 14 255 0 0 1 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 587 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 588 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 589 "" 1 14 255 0 0 1 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 590 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 591 "" 1 14 255 0 0 1 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 592 "" 1 14 255 0 0 1 0 2 0 0 0 0 0 0 0 } {CSTYLE "" -1 593 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 594 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 595 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 596 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 597 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " 19 598 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 599 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 600 "" 1 12 255 0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 601 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 602 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 603 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 604 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 605 "" 0 1 128 0 128 1 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 606 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 607 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 608 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 609 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 610 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 611 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 612 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 613 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 614 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 615 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 616 "" 1 18 255 0 0 1 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 617 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 618 "" 1 18 255 0 255 1 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 619 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 620 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 621 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 622 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 623 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 624 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 625 "" 1 18 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 626 "" 1 18 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 627 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 628 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 629 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 630 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 631 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 632 "" 1 18 128 0 128 1 0 1 1 0 0 0 0 0 0 }{CSTYLE "" -1 633 "" 1 18 128 0 128 1 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 634 "" 0 1 128 0 128 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 635 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 636 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 637 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 19 638 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 639 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 640 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 641 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 642 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 643 "" 1 12 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 644 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 645 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 646 "" 1 12 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 647 "" 1 12 255 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 648 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 649 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 650 "" 1 12 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 651 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 652 "" 1 12 255 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 653 "" 1 14 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 654 "" 1 12 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 655 "" 1 14 255 0 0 1 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 656 "" 0 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 657 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "T imes" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 } {PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 "" 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Title " -1 18 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 1 2 2 2 1 1 1 }3 1 0 0 12 12 1 0 1 0 2 2 19 1 }{PSTYLE "Normal" -1 256 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 257 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 258 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 259 1 {CSTYLE "" -1 -1 "Tim es" 1 14 0 0 0 1 2 1 1 2 2 2 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "" 3 260 1 {CSTYLE "" -1 -1 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 3 261 1 {CSTYLE "" -1 -1 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "" 0 262 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } 0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 3 263 1 {CSTYLE "" -1 -1 " " 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "" 3 264 1 {CSTYLE "" -1 -1 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 265 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "" 0 266 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } 0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 267 1 {CSTYLE "" -1 -1 " " 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "" 0 268 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } 0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT 403 30 "Math 233 Fall 2005 Fina l Exam" }}{PARA 0 "" 0 "" {TEXT 256 2 " " }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 258 1 "1" }{TEXT 266 2 ". " }{TEXT 404 13 " The vector " } {XPPEDIT 472 1 "`<`*a,1,1*`>` " "6%*&%\"GF% " }{TEXT 473 30 " is tangent to the surface " }{XPPEDIT 474 1 "x^2- y^8-3*z^4=0" "/,(*$%\"xG\"\"#\"\"\"*$%\"yG\"\")!\"\"*&\"\"$F'*$%\"zG\" \"%F'F+\"\"!" }{TEXT 475 41 " at the point (2,1,1). \n What is \+ " }{XPPEDIT 482 1 "a" "I\"aG6\"" }{TEXT 481 3 " ? " }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 479 74 "a) -4 b) - 3 c) -2 d) -1 e) " }{TEXT 476 2 "0 \+ " }{TEXT 480 20 " " }}{PARA 0 "" 0 "" {TEXT 477 37 "f) 1 g) 2 " }{TEXT -1 1 " " }{TEXT 478 39 "h) 3 i) 4 j) " }{TEXT -1 1 " " }{TEXT 512 1 "5" }{TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 3 "" 0 " " {TEXT 405 8 "Solution" }{TEXT 406 6 ": (j)\n" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "F := (x,y,z) -> x^2-y^8-3*z^4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FG:6%%\"xG%\"yG%\"zG6\"6$%)operatorG%&arrowGF*,( *$9$\"\"#\"\"\"*$9%\"\")!\"\"*$9&\"\"%!\"$F*F*" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 28 "v := grad(F(x,y,z),[x,y,z]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"vG-%'VECTORG6#7%,$%\"xG\"\"#,$*$%\"yG\"\"(!\"),$ *$%\"zG\"\"$!#7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "NORMAL : = subs(\{x=2,y=1,z=1\}, evalm(v) ); #Normal to surface" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%'NORMALG-%'VECTORG6#7%\"\"%!\")!#7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 86 "solve(dotprod(NORMAL,[a,1,1])=0,a); \n#Tangent vector is perpendicular to Normal vector" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"&" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 260 "" 0 "" {TEXT 265 4 "2. " }{TEXT -1 3 "For" }{TEXT 485 1 " " } {XPPEDIT 19 1 "t <= 1" "1%\"tG\"\"\"" }{TEXT 483 1 " " }{TEXT -1 28 "a particle follows the curve" }{TEXT 489 1 " " }{XPPEDIT 19 1 "C" "I\"C G6\"" }{TEXT 486 2 " " }{TEXT -1 24 "that is parameterized by" } {TEXT 488 1 " " }{XPPEDIT 19 1 "t -> [t,t^2,t^3]" ":6#%\"tG7\"6$%)oper atorG%&arrowG6\"7%F$*$F$\"\"#*$F$\"\"$F)F)" }{TEXT 484 3 ". " }{TEXT -1 4 "\nFor" }{TEXT 492 1 " " }{XPPEDIT 19 1 "t>1" "2\"\"\"%\"tG" } {TEXT 487 2 " " }{TEXT -1 48 "the particle follows the line that is t angent to" }{TEXT 493 1 " " }{XPPEDIT 19 1 "C" "I\"CG6\"" }{TEXT 490 2 " " }{TEXT -1 126 "at the point (1,1,1). \nThe linear part of the \+ trajectory carries the particle through the point (a, 7, c). \nWhat i s c - a ?" }}{PARA 3 "" 0 "" {TEXT 407 152 "a) 1 b) 2 \+ c) 3 d) 4 e) 5 \nf) 6 \+ g) 7 h) 8 i) 9 j) 10 " }{TEXT 408 7 " \n" }}{PARA 3 "" 0 "" {TEXT 409 8 "Solution" }{TEXT 410 6 ": (f)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "r1 := t -> [t,t^2,t^3 ];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r1G:6#%\"tG6\"6$%)operatorG%& arrowGF(7%9$*$F-\"\"#*$F-\"\"$F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 74 "r2 := s -> [seq(r1(1)[j]+s*map(z->subs(t=1,diff(z,t)) , r1(t))[j],j=1..3)];" }}{PARA 7 "" 1 "" {TEXT -1 42 "Warning, `j` in \+ call to `seq` is not local" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r2G:6 #%\"sG6\"6$%)operatorG%&arrowGF(7#-%$seqG6$,&&-%#r1G6#\"\"\"6#%\"jGF5* &9$F5&-%$mapG6$:6#%\"zGF(F)F(-%%subsG6$/%\"tGF5-%%diffG6$F9FEF(F(-F36# FEF6F5F5/F7;F5\"\"$F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 " s0 := solve(r2(s)[2] = 7, s);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#s0 G\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "r2(s0)[3] - r2(s0 )[1];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"'" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 257 52 "3. A particle' s position in space at time t is " }{XPPEDIT 500 1 "r(t)" "-%\"rG6 #%\"tG" }{TEXT 499 12 ". At time " }{XPPEDIT 504 1 "t=13" "/%\"tG\"# 8" }{TEXT 503 57 " the particle is at point (1,2,3) \n and has vel ocity " }{XPPEDIT 502 1 "`<`*4,6,7*`>`" "6%*&%\"GF%" }{TEXT 501 15 ". Calculate " }{XPPEDIT 507 1 "g*`'` (13)" "*&%\"gG\"\"\"-%\"'G6#\"#8F$" }{TEXT 505 1 " " }{TEXT 508 6 " if " }{XPPEDIT 509 1 "f(x,y,z)=6*x^2-y^2-3*z" "/-%\"fG6%%\"xG%\"yG%\"z G,(*&\"\"'\"\"\"*$F&\"\"#F,F,*$F'F.!\"\"*&\"\"$F,F(F,F0" }{TEXT 506 11 " \n and " }{TEXT 510 1 " " }{XPPEDIT 511 1 "g(t)=f(r(t)" "/-% \"gG6#%\"tG-%\"fG6#-%\"rG6#F&" }{TEXT 497 1 "." }{TEXT 498 1 "\n" } {TEXT 415 71 "\na) 1 b) 2 c) 3 d) 4 e) 5" }{TEXT 412 2 " " }{TEXT 416 19 " \+ " }}{PARA 0 "" 0 "" {TEXT 413 33 "f) 6 g) 72 " } {TEXT -1 1 " " }{TEXT 414 39 "h) 8 i) 9 j) 10 \+ " }}{PARA 3 "" 0 "" {TEXT 411 1 " " }}{PARA 3 "" 0 "" {TEXT 417 8 "Sol ution" }{TEXT 418 6 ": (c)\n" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "f := (x,y,z) -> 6*x^2-y^2-3*z;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%\"fG:6%%\"xG%\"yG%\"zG6\"6$%)operatorG%&arrowGF*,(*$9$\"\"#\"\"'*$9% F1!\"\"9&!\"$F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "u := s ubs(\{x=1,y=2,z=3\},grad(f(x,y,z),[x,y,z])); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"uG-%'VECTORG6#7%\"#7!\"%!\"$" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 21 "v := vector([4,6,7]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"vG-%'VECTORG6#7%\"\"%\"\"'\"\"(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "dotprod(u,v);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"$" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 423 83 "4. A plane passes through the three points (1, 0, 1 ), (0, 2, 1), and (2, 3, 2)." }{TEXT -1 1 " " }}{PARA 3 "" 0 "" {TEXT 419 50 "Its equation is Ax + y + Cz = D. What is D? " } {TEXT 422 1 "\n" }}{PARA 3 "" 0 "" {TEXT 421 141 "a) -4 b) \+ -3 c) -2 d) -1 e) 0 \nf) 1 g ) 2 h) 3 i) 4 j) 5" }{TEXT 420 1 "\n " }}{PARA 3 "" 0 "" {TEXT 424 8 "Solution" }{TEXT 425 8 ": (b) \n" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 72 "OP := vector([1,0,1]); \nOQ \+ := vector([0,2,1]); \nOR := vector([2,3,2]); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#OPG-%'VECTORG6#7%\"\"\"\"\"!F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#OQG-%'VECTORG6#7%\"\"!\"\"#\"\"\"" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%#ORG-%'VECTORG6#7%\"\"#\"\"$F)" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 18 "v := evalm(OP-OQ);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"vG-%'VECTORG6#7%\"\"\"!\"#\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "w := evalm(OR-OQ);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"wG-%'VECTORG6#7%\"\"#\"\"\"F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "cp := crossprod(v,w);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#cpG-%'VECTORG6#7%!\"#!\"\"\"\"&" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 20 "cp := map(z->-z,cp);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#cpG-%'VECTORG6#7%\"\"#\"\"\"!\"&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "eqn1 := cp[1]*(x-OP[1])+cp[2]*(y-OP[2])+cp[ 3]*(z-OP[3])=0;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqn1G/,*%\"xG\" \"#\"\"$\"\"\"%\"yGF*%\"zG!\"&\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "eqn2 := map(u->u-3, eqn1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqn2G/,(%\"xG\"\"#%\"yG\"\"\"%\"zG!\"&!\"$" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "D = rhs(eqn2);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#/%\"DG!\"$" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {SECT 0 {PARA 3 "" 0 "" {TEXT 260 1 " " }{TEXT 491 2 "5." }{TEXT -1 1 " " }{TEXT 467 3 "Let" }{TEXT -1 1 " " }{TEXT 466 1 " " }{XPPEDIT 465 1 "N" "I\"NG6\"" }{TEXT 464 52 " be the number of saddle points that \+ the function " }{XPPEDIT 269 1 "f(x,y)=x^2*y-12*x-x*y^2" "/-%\"fG6$% \"xG%\"yG,(*&F&\"\"#F'\"\"\"F+*&\"#7F+F&F+!\"\"*&F&F+*$F'F*F+F." } {TEXT 268 12 " has. \nLet " }{TEXT 471 1 " " }{XPPEDIT 460 1 "[x[1],y [1]],[x[2],y[2]],`...`,[x[N],y[N]]" "6&7$&%\"xG6#\"\"\"&%\"yG6#F'7$&F% 6#\"\"#&F)6#F.%$...G7$&F%6#%\"NG&F)6#F5" }{TEXT 459 44 " denote the s addle points. \n\nWhat is " }{XPPEDIT 461 1 "abs(y[1])+abs(y[2]) +`...`+abs(y[N])" ",*-%$absG6#&%\"yG6#\"\"\"F)-F$6#&F'6#\"\"#F)%$...GF )-F$6#&F'6#%\"NGF)" }{TEXT 270 34 "? \n\nNote: If you determine that " }{XPPEDIT 468 1 "N=0" "/%\"NG\"\"!" }{TEXT 469 63 ", then answer 0 because, by convention, an empty sum is 0. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 3 "" 0 "" {TEXT 463 144 "a) 0 b) 1 c) 2 d) 3 e) 4 \nf) 5 g) 6 h) 7 i) 8 j) 9" }{TEXT 462 1 "\n " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 3 "" 0 "" {TEXT 428 8 "Solut ion" }{TEXT 429 6 ": (e)\n" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "f := (x,y) -> x^2*y-12*x-x*y^2:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 77 "solve(\{diff(f(x,y),x) = 0 , diff(f(x,y),y) = 0\}, \{ x,y\} ); #step-by-step below" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%<$/%\" yG,$-%'RootOfG6#,&*$%#_ZG\"\"#\"\"\"\"\"$F.F-/%\"xG\"\"!<$/F1\"\"%/F%F -<$/F%!\"#/F1!\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "solns \+ := [[4,2],[-4,-2]];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&solnsG7$7$\" \"%\"\"#7$!\"%!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 92 "discr := (x,y) -> subs( \{u=x,v=y\} , diff(f(u,v),u$2)*diff(f(u,v),v$2)-(di ff(f(u,v),u,v))^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&discrG:6$%\" xG%\"yG6\"6$%)operatorG%&arrowGF)-%%subsG6$<$/%\"uG9$/%\"vG9%,&*&-%%di ffG6$-%\"fG6$F2F5-%\"$G6$F2\"\"#\"\"\"-F:6$F<-F@6$F5FBFCFC*$-F:6%F " 0 "" {MPLTEXT 1 0 11 "discr(x,y); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&%\"xG\"\"\"%\"yGF&!\"%*$,&F%\" \"#F'!\"#F+!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "for n f rom 1 to 2 do\ndiscr(op(solns[n]));\nod;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#!#[" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#!#[" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "abs(solns[1][2])+abs(solns[2][2]);\n" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"%" }}}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 63 "----- ----------------------------------------------------------" }}{PARA 0 "" 0 "" {TEXT 470 40 "Step-by-step location of critical points" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "eqn[1] := diff(f(x,y),x) = 0 ; \neqn[2] := diff(f(x,y),y) = 0;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >&%$eqnG6#\"\"\"/,(*&%\"xGF'%\"yGF'\"\"#!#7F'*$F,F-!\"\"\"\"!" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>&%$eqnG6#\"\"#/,&*$%\"xGF'\"\"\"*&F+F ,%\"yGF,!\"#\"\"!" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 111 "From the first equation, observe that there is no real s olution for y when x = 0. We may therefore divide by x." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "eqn[3] := map(z -> simplify(z/x), eqn[2]);" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%$eqnG6#\"\"$/,&%\"xG\"\"\"%\"yG!\" #\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "eqn[4] := subs( x = 2*y , eqn[1] );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%$eqnG6#\"\"%/ ,&*$%\"yG\"\"#\"\"$!#7\"\"\"\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "solve(eqn[4],y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$ \"\"#!\"#" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 1 " " }{TEXT 431 56 "6. A particle is accelerating so that it s speed at time " }{TEXT 444 1 " " }{XPPEDIT 445 1 "t" "I\"tG6\"" } {TEXT 443 14 " is equal to " }{TEXT 448 1 " " }{XPPEDIT 447 1 "t^2+1 " ",&*$%\"tG\"\"#\"\"\"F&F&" }{TEXT 446 10 ". At time" }{TEXT 450 1 " " }{XPPEDIT 451 1 "t=1" "/%\"tG\"\"\"" }{TEXT 449 2 " " }{TEXT 452 44 "the \n acceleration of the particle is 8" }{TEXT 453 1 "i" } {TEXT 454 4 " + 6" }{TEXT 455 1 "j" }{TEXT 456 4 " + 2" }{TEXT 457 1 " k" }{TEXT 458 51 ". What is the curvature of the particle's path at \+ " }{TEXT 494 1 " " }{XPPEDIT 495 1 "t=1" "/%\"tG\"\"\"" }{TEXT 496 3 " ?\n" }}{PARA 0 "" 0 "" {TEXT 430 178 "a) 1/4 b) 1/2 \+ c) 3/4 d) 1 e) 5/4\n\nf) 3/2 \+ g) 7/4 h) 2 i) 9/4 j) 5/2 " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 3 "" 0 "" {TEXT 432 8 "Solution" }{TEXT 433 6 ": (j)\n" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "a := [8,6,2]; #acceleration at t = 1" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG7%\"\")\"\"'\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "speed := t -> t^2+1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&speedG:6#%\"tG6\"6$%)operatorG%&arrowGF(,&*$9$\"\"#\"\"\"F0F0 F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "a_T := t -> D(speed )(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$a_TG:6#%\"tG6\"6$%)operato rG%&arrowGF(,$9$\"\"#F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "a_N := t -> kappa(t) *speed(t)^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$a_NG:6#%\"tG6\"6$%)operatorG%&arrowGF(*&-%&kappaG6#9$\"\"\"-%&sp eedGF/\"\"#F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "eqn := a _T(1)^2 + a_N(1)^2 = a[1]^2+a[2]^2+a[3]^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eqnG/,&\"\"%\"\"\"*$-%&kappaG6#F(\"\"#\"#;\"$/\"" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "kappa(1) = [solve(eqn,kappa (1))]; #pick positive root" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%&kap paG6#\"\"\"7$#\"\"&\"\"##!\"&F+" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 1 " " }{TEXT 259 50 "7. By changing \+ the order of integration, express " }}{PARA 3 "" 0 "" {TEXT 515 5 " \+ " }{TEXT 517 6 " " }{XPPEDIT 518 1 "Int(Int(psi(x,y),y=0..8*x), x=0..1)+Int(Int(psi(x,y),y=0..9-x^2),x=1..3)" ",&-%$IntG6$-F$6$-%$psiG 6$%\"xG%\"yG/F,;\"\"!*&\"\")\"\"\"F+F2/F+;F/F2F2-F$6$-F$6$-F)6$F+F,/F, ;F/,&\"\"*F2*$F+\"\"#!\"\"/F+;F2\"\"$F2" }{TEXT 516 19 "\n \n in the \+ form " }{TEXT 521 5 " " }{XPPEDIT 520 1 "Int(Int(psi(x,y),x=f(y) ..g(y)),y=c..d)" "-%$IntG6$-F#6$-%$psiG6$%\"xG%\"yG/F*;-%\"fG6#F+-%\"g G6#F+/F+;%\"cG%\"dG" }{TEXT 519 12 ". What is " }{XPPEDIT 523 1 "d+f (16)+g(5)" ",(%\"dG\"\"\"-%\"fG6#\"#;F$-%\"gG6#\"\"&F$" }{TEXT 522 2 " ?" }}{PARA 0 "" 0 "" {TEXT -1 1 "\n" }{TEXT 524 161 "a) 10 \+ b) 11 c) 12 d) 13 e) 14 \nf ) 15 g) 16 h) 17 i) 18 j ) 19 " }{TEXT 525 2 " " }{TEXT 526 5 " \n" }{TEXT -1 1 "\n" }} {PARA 3 "" 0 "" {TEXT 426 8 "Solution" }{TEXT 427 6 ": (c)\n" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 170 "eqn := Int(Int(13*x+17*y,y= 0..8*x),x=0..1)+Int(Int(13*x+17*y,y=0..9-x^2),x=1..3) = Int(Int(13*x+1 7*y,x=y/8..sqrt(9-y)),y=0..8); Test proposed formula with weird funct ion" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eqnG/,&-%$IntG6$-F(6$,&%\"xG \"#8%\"yG\"# " 0 "" {MPLTEXT 1 0 52 "c := 0; d := \+ 8; f := y -> y/8; g := y -> sqrt(9-y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"cG\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"dG\"\")" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG:6#%\"yG6\"6$%)operatorG%&arrowG F(,$9$#\"\"\"\"\")F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gG:6#%\" yG6\"6$%)operatorG%&arrowGF(-%%sqrtG6#,&\"\"*\"\"\"9$!\"\"F(F(" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "d + f(16) + g(5);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#7" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 1 " \+ " }{TEXT 434 8 "8. If " }{XPPEDIT 435 1 "x^3 + y^2 - z - 2*x*z^2 = - 16" "/,**$%\"xG\"\"$\"\"\"*$%\"yG\"\"#F'%\"zG!\"\"*(F*F'F%F'F+F*F,,$\" #;F," }{TEXT 436 20 " then calculate " }{XPPEDIT 437 1 "diff( z ,x )" "-%%diffG6$%\"zG%\"xG" }{TEXT 438 10 " at " }{XPPEDIT 439 1 " ``(1,2,3)" "-%!G6%\"\"\"\"\"#\"\"$" }{TEXT 440 1 "." }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 268 "" 0 "" {TEXT -1 212 "a) -27/13 \+ b) -23/13 c) -19/13 d) -15/13 e) - 11/13 \nf) -7/13 g) -3/13 h ) 1/13 i) 5/13 j) 9/13 " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 3 "" 0 "" {TEXT 441 8 "Solution" }{TEXT 442 6 ": (d)\n" }}{PARA 0 "" 0 "" {TEXT 514 28 "By implicit differentiatio n:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "eqn1 := x^3 + y^2 - z - 2*x* z^2 = -16; " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqn1G/,**$%\"xG\"\"$ \"\"\"*$%\"yG\"\"#F*%\"zG!\"\"*&F(F*F.F-!\"#!#;" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 31 "eqn2 := subs(z = z(x,y), eqn1);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%%eqn2G/,**$%\"xG\"\"$\"\"\"*$%\"yG\"\"#F*-%\"z G6$F(F,!\"\"*&F(F*F.F-!\"#!#;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "eqn3 := map( u -> diff(u,x), eqn2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqn3G/,**$%\"xG\"\"#\"\"$-%%diffG6$-%\"zG6$F(%\"yGF( !\"\"*$F.F)!\"#*(F(\"\"\"F.F6F+F6!\"%\"\"!" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 54 "eqn4 := diff(z(x,y),x) = solve(eqn3 , diff(z(x,y),x ));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqn4G/-%%diffG6$-%\"zG6$%\"x G%\"yGF,*&,&*$F,\"\"#\"\"$*$F)F1!\"#\"\"\",&F5F5*&F,F5F)F5\"\"%!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "eqn5 := lhs(eqn4) = subs( z(x,y) = z, rhs(eqn4)); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqn5G/- %%diffG6$-%\"zG6$%\"xG%\"yGF,*&,&*$F,\"\"#\"\"$*$F*F1!\"#\"\"\",&F5F5* &F,F5F*F5\"\"%!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "subs (\{x=1, y=2, z=3\} , rhs(eqn5));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##! #:\"#8" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 513 14 "Alternatively:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "F := (x,y,z) -> x^3 + y^2 - z - 2*x*z^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FG :6%%\"xG%\"yG%\"zG6\"6$%)operatorG%&arrowGF*,**$9$\"\"$\"\"\"*$9%\"\"# F29&!\"\"*&F0F2F6F5!\"#F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "expr := -diff(F(x,y,z),x)/diff(F(x,y,z),z);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%exprG,$*&,&*$%\"xG\"\"#\"\"$*$%\"zGF*!\"#\"\"\",&!\" \"F/*&F)F/F-F/!\"%F1F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "s ubs(\{x=1, y=2, z=3\} , expr);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##!#: \"#8" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 261 16 "9. Calculate " }{XPPEDIT 527 1 "int( 2*y*dx+ x*dy+2*z,z=C.. ``)" "-%$intG6$,(*(\"\"#\"\"\"%\"yGF(%#dxGF(F(*&%\"xGF(%#dyGF(F(*&F'F( %\"zGF(F(/F/;%\"CG%!G" }{TEXT 528 11 ". where " }{TEXT 529 1 "C" } {TEXT 530 49 " is the oriented curve parameterized by \n " } {TEXT 556 1 " " }{XPPEDIT 557 1 "r(t) = `<`*cos(t),sin(t),sqrt(t)*`>` " "6%/-%\"rG6#%\"tG*&%\"GF*" }{TEXT 531 8 " " }{TEXT 559 7 " " }{XPPEDIT 558 1 "0 <=t" "1\"\"!%\"tG" }{TEXT 555 1 " " }{XPPEDIT 560 1 "`` <=2*P i " "1%!G*&\"\"#\"\"\"%#PiGF&" }}{PARA 0 "" 0 "" {TEXT -1 7 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 534 4 "a) " } {XPPEDIT 545 1 "0" "\"\"!" }{TEXT 535 20 " b) " } {XPPEDIT 546 1 "Pi/4" "*&%#PiG\"\"\"\"\"%!\"\"" }{TEXT 536 19 " \+ c) " }{XPPEDIT 547 1 "Pi/2" "*&%#PiG\"\"\"\"\"#!\"\"" }{TEXT 537 20 " d) " }{XPPEDIT 548 1 "Pi" "I#PiG%*protectedG " }{TEXT 538 20 " e) " }{XPPEDIT 549 1 "2*Pi" "*&\"\"# \"\"\"%#PiGF$" }{TEXT 539 11 " \nf) " }{XPPEDIT 550 1 "Pi/3" "*& %#PiG\"\"\"\"\"$!\"\"" }{TEXT 540 18 " g) " }{XPPEDIT 551 1 "Pi/6" "*&%#PiG\"\"\"\"\"'!\"\"" }{TEXT 541 19 " h ) " }{XPPEDIT 552 1 "2*Pi/3" "*(\"\"#\"\"\"%#PiGF$\"\"$!\"\"" }{TEXT 542 17 " i) " }{XPPEDIT 553 1 "3*Pi/2" "*(\"\"$\"\"\"%#Pi GF$\"\"#!\"\"" }{TEXT 543 18 " j) " }{XPPEDIT 554 1 "3*P i/4" "*(\"\"$\"\"\"%#PiGF$\"\"%!\"\"" }{TEXT 544 5 " \n" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 3 "" 0 "" {TEXT 532 8 "Solution" }{TEXT 533 6 ": (d)\n" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "r := t -> [cos(t),sin(t),sqrt(t)];" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"rG:6#%\"tG6\"6$%)operatorG%&arrowGF(7%-%$cos G6#9$-%$sinGF/-%%sqrtGF/F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 96 "Int( 2*r(t)[2]*diff(r(t)[1],t) + r(t)[1]*diff(r(t)[2],t)+ 2*r(t )[3]*diff(r(t)[3],t),t=0..2*Pi);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-% $IntG6$,(*$-%$sinG6#%\"tG\"\"#!\"#*$-%$cosGF*F,\"\"\"F1F1/F+;\"\"!,$%# PiGF," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "value(\");" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#%#PiG" }}}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {SECT 0 {PARA 3 "" 0 "" {TEXT 262 23 "10. The vector field " }{TEXT 576 1 "F" }{TEXT 577 2 "( " }{TEXT 581 5 "x , y" }{TEXT 582 12 " ) = ( y + 1)" }{TEXT 572 2 " i" }{TEXT 573 11 " + (x + 2) " }{TEXT 574 1 "j " }{TEXT 575 2 " " }{TEXT 561 53 "is the gradient field of some \nsca lar-valued function" }{TEXT 583 1 " " }{TEXT 578 1 "U" }{TEXT 580 1 "( " }{TEXT 579 3 "x,y" }{TEXT 563 1 ")" }{TEXT 562 10 " with " } {TEXT 585 1 "U" }{TEXT 587 1 "(" }{TEXT 586 8 " 1 , -1 " }{TEXT 584 5 ") = " }{TEXT 589 1 "2" }{TEXT 588 18 ". Calculate " }{TEXT 591 1 "U" }{TEXT 593 1 "(" }{TEXT 592 7 " 2 , 2 " }{TEXT 590 1 ")" } {TEXT 594 2 ". " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 564 74 "a) 2 b) 4 c) 5 d ) 8 e) " }{TEXT 568 2 "10" }{TEXT 571 3 " " }{TEXT 570 18 " " }}{PARA 0 "" 0 "" {TEXT 565 35 "f) 12 \+ g) 14 " }{TEXT -1 1 " " }{TEXT 569 39 "h) 16 \+ i) 18 j) 20" }{TEXT -1 2 " " }}{PARA 3 "" 0 "" {TEXT -1 0 "" }}{PARA 3 "" 0 "" {TEXT 566 8 "Solution" }{TEXT 567 6 ": (g)\n" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "M := y+1; N := x + 2;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"MG,&%\"yG\"\"\"F'F'" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"NG,&%\"xG\"\"\"\"\"#F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "testeq(diff(M,y) = diff(N,x)); #F is conserva tive" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%%trueG" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 33 "eqn1 := U(x,y) = int(M,x) + g(y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqn1G/-%\"UG6$%\"xG%\"yG,&*&,&F*\"\"\"F.F.F. F)F.F.-%\"gG6#F*F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "eqn2 \+ := N = diff(rhs(eqn1),y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqn2G/ ,&%\"xG\"\"\"\"\"#F(,&F'F(-%%diffG6$-%\"gG6#%\"yGF1F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "eqn3 := diff(g(y),y) = solve(eqn2,d iff(g(y),y));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqn3G/-%%diffG6$-% \"gG6#%\"yGF,\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "eqn4 \+ := g(y) = int(rhs(eqn3),y) + C;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%% eqn4G/-%\"gG6#%\"yG,&F)\"\"#%\"CG\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "eqn5 := subs(eqn4,eqn1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqn5G/-%\"UG6$%\"xG%\"yG,(*&,&F*\"\"\"F.F.F.F)F.F.F* \"\"#%\"CGF." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "eqn6 := C = solve(2 = subs(\{x=1,y=-1\}, rhs(eqn5)), C);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqn6G/%\"CG\"\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "eqn7 := subs(eqn6, eqn5);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqn7G/-%\"UG6$%\"xG%\"yG,(*&,&F*\"\"\"F.F.F.F)F.F.F* \"\"#\"\"%F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "subs( \{x=2 ,y=2\}, rhs(eqn7) );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#9" }}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 340 17 "11. Calculate " }{XPPEDIT 598 1 "int( (y+1)*d x+(x+2),y=C..``)" "-%$intG6$,&*&,&%\"yG\"\"\"F)F)F)%#dxGF)F),&%\"xGF) \"\"#F)F)/F(;%\"CG%!G" }{TEXT 599 11 " where " }{TEXT 600 1 "C" } {TEXT 601 72 " is the oriented curve parameterized by the\nvector-va lued function " }{XPPEDIT 603 1 "r(t)= [sqrt(t/2)*` `, ` `*t*(t^3+ 6)/(t^2+24)]" "/-%\"rG6#%\"tG7$*&-%%sqrtG6#*&F&\"\"\"\"\"#!\"\"F-%\"~G F-**%#~~GF-F&F-,&*$F&\"\"$F-\"\"'F-F-,&*$F&F.F-\"#CF-F/" }{TEXT 602 4 ", " }{TEXT 609 1 " " }{XPPEDIT 610 1 "0 <=t" "1\"\"!%\"tG" }{TEXT 608 1 " " }{XPPEDIT 604 1 "``<= 2" "1%!G\"\"#" }{TEXT 596 7 ". \n \n " }{TEXT 629 162 "(Although this integration can be done independently of problem 10, you may wish to note \nthat the integrand is construct ed using the vector field of problem 10.)" }{TEXT 630 1 "\n" }{TEXT 635 5 "\n a)" }{TEXT 595 71 " 0 b) 1 c) 2 d) 3 e) 4" }{TEXT 607 3 " \n" }{TEXT 597 78 " \+ f ) 5 g) 6 h) 7 i) 8 \+ j) 9" }{TEXT -1 2 " " }}{PARA 3 "" 0 "" {TEXT -1 0 "" }}{PARA 3 "" 0 "" {TEXT 605 8 "Solution" }{TEXT 606 6 ": (e)\n" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "r := (t) -> [sqrt(t/2),t*(t^3+6)/(t^2+24)]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "r(0); r(2);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#7$\"\"!F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$ \"\"\"F$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "subs( \{x=1,y=1 \} , (y+1)*x+2*y+4 ) - subs( \{x=0,y=0\} , (y+1)*x+2*y+4 );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"%" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 3 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {SECT 0 {PARA 0 "" 0 "" {TEXT 631 3 "12." }}{PARA 0 "" 0 "" {TEXT -1 6 " " }{BITMAP 541 299 299 1 "?TMwITI:;JUJNjHD:QS:F:k:;::::yyyyyy :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Z:vyyuy:::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::Z:Zy=:::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::<:xI::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::B:ry:::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::Z:Zy=:::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::<:xI::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::B:ry:::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::Z:Zy=:::jyxqyxuYyuyyyy;:::::::::jyviyyyy=:::::::::::::: :::::::::::::::vmYxmywiy?:<:rYyuYyoYyqyxqYwqyuy::::::::::rYxqywY:::::: ::::::::::::::::::::::::::::::::::ZysYyoYyiy=::::::::::ZysYyqy;::::::: :::::::::::::::::::::::::jyviytiyqy;::::::::::jyviyuy::::::::::::::::: :::::::::::::::rYxQ:B:vqyxQxyyviytiyqy;:::::::::::jyviyuy::::::::::::: ::::::::::::::::::::::::::::::::::::::::B:ry::::vMyF::xI:::::::::jIwmy sYyqy;::::::::::::::::::::::::::::J:<:jy;xuYyuyviYxmY@:jywY:::::::::ZY taymyxiy=:::::::::::::::::::::::::::::::::::::::ZYta;:jy;::::::::::xcY xIyuyxI::::::::::::::::::::::::::::::::jIwm::ry:::::::::::ynIyaywYyA:: :::::::::::::::::::::::::::::B:vYJ:ryvMyF:vQry::::::::::::ynIyaywYyA:: ::::::::::::::::::::::::::::::::::::::::::::::::::B:yay=::::xay[yuy::: :::::::B:;jysy:::::::::::::::::::::::::::::vMyF:>:::xIymyjywY::::::::: :>:jy;::::::::::::::::::::::::::::::::::::::::ymyjywY:::::::::::>:jy;: :::::::::::::::::::::::::::::::rYxAxiy=::::::::::Z::xI:::::::::::::::: ::::::::::::::::B:>:xIyaysYryxI::::::::::::<:ry::::::::::::::::::::::: :::::::::::::::::::::::::::::Z:vYxI:B:;J::ryvYxey@:xsIysyyyy;:::<:;::Z ymy;:;Z:jy;;::::::::Zymy;:::::::::::::::::::;Z:::xAyoYyiyyQyG:vMry:::: ;Z:::jysy:Z:J:ryZ:::jysy:ZysYryxI:::::::::::::::::::::::::::::<:;:Zy=< :ryvQyG:vMry::::;Z::::::jy;;Zy=<:::::::::yay=::::::::::::::::::::J:B:: vYxey@:xCvY:::Z:J::::::ryZ:jy;;::Zymy;:ymyjywY:::::::::::::::::::::::: :Z:J:ryvYxey@:xCvY:Z:J:::::::::ryZ:jy;;::Zymy;:ymyjywY:::::::::::::::: :::::::::::::::::::::::::::::Z:vYxI::;B:<:yay=xey@:xAvY::::vQyG:>:xEyq y;:jyviYtayqykYwq:J:rivYyAyoY=:;ZylywYvQyG:>:xEyqy;::::::::::::::::::: jIwmyxqyxYyA::yoY=:y]yuy::::rixU:B:vQxiy=:ZysYynIyiy]yti;Z:jYsyxI:jYwq :J:ryvY:::::::::::::::::::::::::::::J:B:vYxI;Z:jysyvQyG:vIxiy=:::Zyti; Z:jYsyxIxey@:<:y_yuyrYxqIwmyuyrixU:B:vQxiy]yti;Z:jYsyxIxey@:<:y_yuy::: :::::::::::::::::::B:>:xIyayti;ZykywY::::vQyG:>:xEyqykYwq:J:rivYyAymyx cYxYyAyoY=:;ZylywY:Zyti;Z:jysy:::::::::::::::::::::::::Z:J:ryvYxey@:xA yqy;:jYwq:J:rivYyAyoY=:;ZylywYvQyG:>:xEyqykyviYtayqykYwq:J:rivYyA:rixU :B:vYxI:::::::::::::::::::::::::::::::::::::::::::::B:yay=:J: :<:yay=::::<:;Zymy;::::B:>:xIyAZ:J:ryvY:<:;Zymy;::::::::::::::::::::yo Y=:;:vIxiy=Z:J:ryvY::::J:B:vYxI:::::;Z:jysy::vMyF:>:xCyqy;:::::::::::: ::::::::::::::::J:B:vYxI;Z:jysyZ:J:ryvY::::J:B:vYxI:;Z:jysy:::>:<:yay= J:B:vYxI:;Z:jysy::::::::::::::::::::::Z:J:ryvYJ:B:vYxI::::B:>:xIyAZ:J: ryvY:::<:;Zymy;:raxS:B:vMxiy=::::::::::::::::::::::::Z:J:ryvYJ:B:vYxI: :B:>:xIyAZ:J:ryvY:<:;Zymy;::B:>:xIyA:ZYta;Z:jIsyxI:::::::::::::::::::: :::::::::::::::::::::::::Z:B:vYxI:;Z:jysy::::Z:J:ryvY:::::<:;Z ymy;B:>:xIyAZ:J:ryvY::::::::::::::::::::J:B:vQxE;Zy;yAB:>:xIyA::::>:<: yay=::::J:B:vYxI::;Z:jIsYxqywY:::::::::::::::::::::::::::::>:<:yayM:B: vYxIB:>:xIyA::::>:<:yay=J:B:vYxI:::;Z:jysy:>:<:yay=J:B:vYxI::::::::::: :::::::::::B:>:xIyA>:<:yay=::::<:;Zymy;B:>:xIyA::Z:J:ryvY::<:;ZY:xIyA::Z :J:ryvY::<:;ZYZ:B:vYxI:;Z:jysy::::Z:J:ryvY:::::<:;Zymy;B:>:xIyAZ:J:ryvY:::::::::: ::::::::::J:B:vYxI;Z:jysyZ:J:ryvY::::J:B:vYxI:::::;Z:jysy:Zyti;Zy;yI:v Qxiy=::::::::::::::::::::::::::::>:<:yayM:B:vYxIB:>:xIyA::::>:<:yay=J: B:vYxI:::;Z:jysy:>:<:yay=J:B:vYxI::::::::::::::::::::::B:>:xIyA>:<:yay =::::<:;Zymy;B:>:xIyA::Z:J:ryvY:jYwq:jyZyA:xEyqy;::::::::::::::::::::: :::<:;Zymy;;Z:jysy::Z:J:ryvY:<:;Zymy;B:>:xIyA::Z:J:ryvY:jYwq:jyZyA:xEy qy;::::::::::::::::::::::::::::::::::::::::::::Z:B:vYxI:;Z:jys y::::Z:J:ryvY:::::<:;Zymy;B:>:xIyAZ:J:ryvY::::::::::::::::::::jyvi:jYs i>:xAyqy;<:;Zymy;::::;Z:jysy:::::>:<:yay=:xay?:xCyqyycY\\yuy:::::::::: :::::::::::::::::::;Z:jI[yA:<:yay=<:;Zymy;::::;Z:jysy:>:<:yay=::J:B:vY xI:;Z:jysy:>:<:yay=::::::::::::::::::::::<:;Zymy;;Z:jysy::::Z:J:ryvY:< :;Zymy;::B:>:xIyA:vIyE:vMryynIkywY::::::::::::::::::::::::Z:J:ryvYJ:B: vYxI::B:>:xIyAZ:J:ryvY:<:;Zymy;::B:>:xIyA:vIyE:vMryynIkywY:::::::::::: ::::::::::::::::::::::::::::::::Z:vYxI:B:;J::ryvYxey@:xAyqy;::::<:;Zym y;::::B:>:xIyAZ:J:ryvY:<:;Zymy;::::::::::::::::::::rYxQ:B::ZymYwq:jyry xI::::J:B:vYxI:::::;Z:jysy:Z:J:ryvYxeyxIyuyxI::::::::::::::::::::::::: :::J:B:vM<:;ZYlywYvQyG:vIry:::::;Z:jysy:>:<:yay=::J:B:vYxI:;Z:jysy:>:< :yay=:::::::::::::::::::::J:B:ZymysixU:rYjy;::::<:;Zymy;B:>:xIyA::Z:J: ryvY:J:B:vYxIyoYyaywYyA:::::::::::::::::::::::raxS:B:ZymysixU:rYjy;::< :;Zymy;B:>:xIyAZ:J:ryvY:::<:;Zymy;:;Z:jysyvQywYxqywY:::::::::::::::::: ::::::::::::::::::::::::::Z:vYxI::;B:<:yay=xcY@:xEyqy;::::<:;Zymy;:::: B:>:xIyAZ:J:ryvY:<:;Zymy;::::::::::::::::::::::::ynI=:y?xI::::J:B:vYxI :::::;Z:jysy:vMyF:vIry:ymyxeyxYyA::::::::::::::::::::::::::::;Z:jysy:: vMyF:vQry:::::;Z:jysy:>:<:yay=::J:B:vYxI:;Z:jysy:>:<:yay=::::::::::::: :::::::::::xcY@:xEvY::::Z:J:ryvY:<:;Zymy;::B:>:xIyAZYta;ZykywYZysYyoYy iy=:::::::::::::::::::::::::ZYta;Zy:xIyAZ:J:ryvY:<:;Zymy;::B:> :xIyAZYta;ZykywYZysYyoYyiy=::::::::::::::::::::::::::::::::::::::::::: Z:vYxI::;B:<:yay=xay[yuy:::::B:>:xIyA::::Z:J:ryvY:<:;Zymy;B:>:xIyA:::: ::::::::::::::::::::vIy=yqy;::::J:B:vYxI:::::;Z:jysy:vIyE:vQry:ynIyayw YyA::::::::::::::::::::::::::::;Z:jysy::vIy=yqy;::::J:B:vYxI:;Z:jysy:: :>:<:yay=J:B:vYxI:;Z:jysy::::::::::::::::::::::::ZysYryxI:::::<:;Zymy; B:>:xIyA::Z:J:ryvY:xay?:xEvYZYtaymyxiy=:::::::::::::::::::::::::ZysYry xI:::<:;Zymy;B:>:xIyAZ:J:ryvY:::<:;Zymy;rYxQ:rijy;xcYxIyuyxI:::::::::: :::::::::::::::::::::::::::::::::::xEyqykYwq:J:rivYyAyoY=:;ZylywY:::::::::::::::::::::: :ZYta;:jy;::::xey@:<:y_yuy::::rixU:B:vQxiy]Yta;Z:jysy:Z:jIsyxI:::::::: :::::::::::::::::::J:B:vYxI:raxS:rijy;::::xey@:<:y_yuyrixU:B:vQxiy=:Zy ti;Z:jYsyxIxey@:<:y_yuyrixU:B:vQxiy=:::::::::::::::::::::ZysYryxyIwm:: ry:::::yoY=:;ZylywYvQyG:>:xEyqy;:jYwq:J:rivYyAynI=:;Zymy;:;ZYlywY::::: ::::::::::::::::::ZysYryxyIwm:jY[y=::vQyG:>:xEyqykYwq:J:rivYyAyoY=:;Zy lywY::vQyG:>:xEyqykIwm:J:ryvY:J:ravYyA:::::::::::::::::::::::::::::::: :::::::::::B:yay=::xay?:<:Y\\yxqyxYyA::::B:;J:::ryvY:::<:;::::::::Zymy ;::::::::::::::::::::::rYxqYwqyuy:::::;Z:::jysy:::>:<:::y^:J::ryvYxey@ :<:ravYyA::::::::::::::::::::::::::B:>:jysy:ZysYyoYyiy=::::>:<::::::ya y=J:B:::::::::vYxI:::::::::::::::::::::rYxAxiyyIyuixuywY::::Z:J::::::r yvY:<:;::ZYL:B::vYxIyoY=:;:vMxiy=::::::::::::::::::::::ZysYryxyyviytiy qy;::<:;::::::::Zymy;B:>:::xC;Z::jysyvQyG:>:jysy:::::::::::::::::::::: :::::::::::::::::::::Z:vYxI::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::B:ry:::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::Z:Zy=:::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::<:xI::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::B:ry :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Z:Zy=:::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::<:xI::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::B:ry:::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::Z:Zy=:::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::<:xI:::::rYxqYwqyuy:::::::::::::::::: ::::::::::::::::::::::::::ymyxeyxYyA:::::::::::::::::::::::::::::::::: ::::::::::::::::ymyxeyxYyA:::::::::::::::::::::::::::::::::::::::::::: :::rYxqYwqyuy:::::::::::::::::::::::::::::::::::::::::::::rYxqYwqyuy:: ::::::::rYxqYwqyuy:::::::::::::::::::::::::::::::::::::::::::::::::::: ::::B:ry:::::ZYta;Zy::::::xIyA::::::::::::::::::::: ::::::::::::::ZysY;ZykYwqyuyrixU:rajy;:::::<:;::::::::Zymy;::::::::::: ::::::::::::::::yoYyay?:xC;Z::xIvq:jIsyxI:::J:B:::vYxI:rYxAxiy=::::::: ::::::::::::::::::::::ZYta;Z:jyZy=vQyG:vMxiy=:::>:<:::yay=:xay?:<:yay= :J:B::::::vYxI::::::::::::::::::::::::::::::::::::::::::::::B:yay=:J:< Z:jIsa>:<:yaymYwq:jyryxI::::xey@:<:y_yuy:::::::::::::::::::::::::::::: ::B:>:xCy^:J:ryvYxey@:xAvY::::vQyG:>:xEyqykYwq:J:rivYyA::::::::::::::: :::::::::::::::::::::ymy<:rivIyuyxIxey@:xAvY::::::vQyG:>:xEyqykYwq:J:r ivYyAyoY=:;ZylywY::::::::::::::::::::::::::::>:<:y^YL:B:vYxIyoY=:y=xI: :::xey@:<:y_yuy::yoY=:;Zymy;:::::::::::::::::::::::::::::ynI=:y^yuyynI yaywYyAyoY=:y=xI::::xey@:<:y_yuy::B:>:jysy::Zyti;Z:jYsyxIxey@:<:y_yuy: ::::::::::::::::::::::::::::::::::::::::::::::B:yay=:jIwm:jIsyxY::xIya:J:ryvYJ :B:vYxI::::B:>:xIyAZ:J:ryvY::::::::::::::::::::::::::::::::::::J:rYjy; :J:B:vYxI::::::B:>:xIyAZ:J:ryvY:<:;Zymy;::::::::::::::::::::::::::::;Z :jysy>:<:yay=<:;Zymy;::::;Z:jysy::vMyF:>:xCyqy;::::::::::::::::::::::: :::::J:B:vYxI::B:>:xIyA::::>:<:yay=::xcY@:xCyqy;::J:B:vYxI:;Z:jysy:::: :::::::::::::::::::::::::::::::::::::::::::Z:vYxI::rYxQ:rYZ:jysyZ:>:;Z ymy;::::;Z:jysy::::::::::::::::::::::::::::::::Z:J:ryvY<:;Zymy;;Z:jysy ::::Z:J:ryvY:<:;Zymy;::::::::::::::::::::::::::::::::::::;Z:jysy::>:<: yay=::::::<:;Zymy;B:>:xIyAZ:J:ryvY::::::::::::::::::::::::::::J:B:vYxI ;Z:jysyZ:J:ryvY::::J:B:vYxI::;Z:jIsYxqywY::::::::::::::::::::::::::::: >:<:::yay=<:;Zymy;::::;Z:jysy::::::::>:<:yay=J:B:vYxI::::::::::::::::: ::::::::::::::::::::::::::::::B:yay=:::xey@:<:yay=:xIyA::::>:<:yay =::::::::::::::::::::::::::::::::<:;ZymyC:>:xIyA>:<:yay=::::<:;Zymy;B: >:xIyA::::::::::::::::::::::::::::::::::::>:<:yay=:J:B:vYxI::::::B:>:x IyAZ:J:ryvY:<:;Zymy;::::::::::::::::::::::::::::;Z:jysy>:<:yay=<:;Zymy ;::::;Z:jysy:Zyti;Zy;yI:vQxiy=::::::::::::::::::::::::::::>:<:yayM:B:v YxIB:>:xIyA::::>:<:yay=:::::::J:B:vYxI:;Z:jysy:::::::::::::::::::::::: :::::::::::::::::::::::Z:vYxI::;B:<:y_YxmY@:<:yay=<:;Zymy;::::;Z:jysy: :::::::::::::::::::::::::::::::Z:J:rijI=:;Zymy;;Z:jysy::::Z:J:ryvY:<:; Zymy;::::::::::::::::::::::::::::::::::::ymy<:y?xS:ryvYJ:B:vYxI::::::B :>:xIyAZ:J:ryvY:<:;Zymy;::::::::::::::::::::::::::::;Z:jIsa>:<:yay=<:; Zymy;::::;Z:jysy:ZysY;ZYlywyYtaryxI::::::::::::::::::::::::::::J:B:vMx C;Z:jysyZ:J:ryvY::::J:B:vYxI::::::::;Z:jysy:>:<:yay=:::::::::::::::::: ::::::::::::::::::::::::::::::xIyA::::::::::::::::::::::::::::::::::::ZysY;Z:jI[y]yti;ZykywY:: ::::Z:J:ryvY:<:;Zymy;B:>:xIyA::::::::::::::::::::::::::::vQywYxQ:ra>:< :yaymYwq:jyryxI::::J:B:vYxI:B:>:xIyaytiymyxiy=:::::::::::::::::::::::: ::::vQywYxQ:B:vIxiy=vQyG::xI::::J:B:vYxI::::::::;Z:jysy:>:<:yay=:::::: :::::::::::::::::::::::::::::::::::::::::Z: B:vYxI::::::::::::::::::::::::::::::::B:>:xIyA:ZYta;Zy:xIyAZ :J:ryvY::::::::::::::::::::::::::::::::::::::::xcY@:xEvY::::::Z:J:ryvY :<:;Zymy;B:>:xIyA::::::::::::::::::::::::::::::>:<:yaymIwm:jY[y=::::>: <:yay=jIwm:jyZy=vIyuixuywY::::::::::::::::::::::::::::::::vMyF:vQry::: ::;Z:jysy::::::::>:<:yay=J:B:vYxI::::::::::::::::::::::::::::::::::::: ::::::::::B:yay=:::::jyvIvYyA:::::;B:<:yay=::::::::::::::::::::::::::: :::::<:;Zymy;:rYxAxiy=::::Z:J:ryvY:<:;Zymy;::::::::::::::::::::::::::: ::::::::::::rYxAxiy=::::::Z:J:ryvY:<:;Zymy;B:>:xIyA::::::::::::::::::: :::::::::::>:<:yaymyvIvYyA:::::;Z:jysy:vIyE:vQry:ynIyaywYyA::::::::::: :::::::::::::::::::::ymyjywY:::::>:<:yay=:::::::J:B:vYxI:;Z:jysy:::::: :::::::::::::::::::::::::::::::::::::::::Z:vYxI:::::raxS:rijy;::::xey@ :<:y_yuy::::::::::::::::::::::::::::::::B:;J:ryvY:jIwm:jY[y=::::vQyG:> :xEyqykYwq:J:rivYyA:::::::::::::::::::::::::::::::::::::::ynI=:Zy=:::: ::vQyG:>:xEyqykYwq:J:rivYyAyoY=:;ZylywY::::::::::::::::::::::::::::::> :<:yaYta;Zy: :::::xIyA::::::::::::::::::::::::::::::::::::::vIyuixuywY::::::Z:J:::: :::::ryvY:::::::::::::::::::::::::::::<:;:vYxaywQywyxI::::J:B:::vMJ::r yvYxey@:<:ravYyA::::::::::::::::::::::::::::::rYxqYwqyuy:::::;Z:::jysy ::::::>:<::::::yay=::::::::::::::::::::::::::::::::::::::::::::::::x Iyaytiymy<:;ZykYwqyuy;Z::jysy:vMyF:>:xAyqy;::jyvi::xeyxYyI:>::xIB:Zymy saxS:B:vIxiy=ZysY;:vQywyxY:B::vYJ::y]yuy::raxS:B:vIry:yoYyay[ytiymy<:y ^yuyrYxQ:rYvQywyxY:B::vYJ::yay=:xeyxIyE:>:xAyoYyiyA:<::yay=:<:;::Zy=<: yay=:<:;:::::Zy=<:yay=:<:;::::::::Zy=<:yay=:jYwqysYrixuyvi:jIC:>::xI;Z ::xIyoYyay?:xCB:Zymy;B:>:::xIyA:vIy=yqy;::J:B::vYxIyoYyay?:<:y]ytiyqy= :;:Zymy;::;ZyL:B:vMxiyA:<::::yA>:jy;;:vYJ:ra>:xAvqyuy;Z::jysyvMyF:>:xA yqy;::jyvi::xeyxYyAyoYyay?:<:y]ytiyqy=:;:Zy=<:::ryZ::xIyaYta;Z:jyryxI: xay?:jYwqyuyraxS:B:vQryraxS:B:vIxiy=vQywYxQ:raZ::::xI;Z::xIyaYta;Z:jyr yxIJ:ri>:<:y^yuyB:vQJ:rajykyvIvYyAyoY=:Zy=:::::::::::::::::::::::::::: :::::::::::::Z:vYxI:::yoY=:;ZylywY:>Z:B:vYxI;Z:jysyvMyF:vMxiyyMyvYxqyw Y>:<:yay=jIwm:jIsyxyIwmysYyqyK:B:vYxIB:>:xCy^:J:ryvY<:;Zymy;raxS:ravYy yaxsyviyuy::rYxQ:rivQxaywYyA;Z:jysy>:<:yaymIwm:jIsyxyIwmysYyqykyvi:jYs ivIyuyxI<:;ZymysYxQ:ravYyA::ynI=:ryxyIwmysYyqyK:B:vMxC;Z:jysyvIyE:vQxE ymyxiy]:J:ryvY<:;Zymy;:B:>:xCy^:J:ryvY<:;Zymy;::yoY=:;ZylywYvIyuaxsywY ::vQyG:>:xEyqykYwq:J:rivYyAymyxcYxYyA::yoY=:;ZylywYvQyG:>:xEyqykYwq:J: rivYyAymyxcYxYyA::;Z:jIsa>:<:yayM:B:vYxI;Z:jysy>:<:y^YL:B:vYxI::yoY=:; ZylywY:Zyti;Z:jysy:::Z:J:ryvYJ:B:vMxC;Z:jysy>:<:yay=::J:ravYyI:>:xIya: J:ryvY<:;ZymyC:>:xIya:J:ryvY<:;ZYlIC:>:xIya:J:ryvYxcY@:xCyqyycYxIyuyxI ::xay?:xEy_ysYyqyK:B:vMxC;Z:jysy>:<:yayM:B:vYxI;Z:jysy>:<:yaymIwm:jIsy xyIwmysYyqykyvi:jYsivIyuyxI<:;Zy:<:yayM:B:vYxIynI=:y^yuyynIyaywYyA;:vYyI:>:xIya:jI[yA:<:yaymyvIvYyA yoY=:y=xI:::::::::::::::::::::::::::::::::::::::::::;Zymy;: ;Z:jysy>:<:yayM:B:vYxI::;Z:jysy:>:<:yay=:J:B:vYxIB:>:xIya:J:ryvY<:;Zym y;B:>:xIyA:::Z:jyZy=:>:<:yayM:B:vYxI;Z:jysy::>:xAvY:Z:J:rivIyE:vMry::: ;Z:jysy::vMyF:vMxiyA:<:yayM:rYvYyA:B:>:xIya:J:ryvY::<:;ZymyC:>:xIya:J: ryvY:::<:;Zymy;::::B:>:xIyAZ:J:ryvY:::::<:;Zymy;B:>:xIyAZ:J:ryvY::::jI wm:jIsyxY:B:vYxI;Z:jysy>:<:yayM:B:vYxI;Z:jysy::Z:J:ryvY::xcY@:<:y^yuy: ::B:>:xIyA>:<:yayM:B:vYxI;Z:jysy::::vIyE:>:xIya:J:ryvY<:;ZymyC:>:xIya: J:ryvY<:;ZymyC:>:xIya:J:ryvY<:;Zymy;:::B:vIxiy=:>:<:yayM:B:vYxI;Z:jysy >:<:yayM:B:vYxI;Z:jysy>:<:yay=:J:rYjy;:<:;Zymy;;Z:jysy::>:<:yayM:B:vYx I;Z:jysy>:<:yayM:B:vYxI:::ymy<:;Zymy;rYxQ:B:vYxI::B:>:xIyA:::::::::::: :::::::::::::::::::::::::::::Z:vYxI:::B:;J:ryvY:J:B:vYxI;Z:jysy>:<:::y ayM:B:vYxI:;Z:::jysy>:<:yay=<:;ZymyC:>:xIya:J:ryvY:<:;::Zymy;:B:>:xIyA :>:<:yayM:B:vYxI;Z:::jysy>:<:yay=:<:;Zy;xCvY:::>:<:::yay=xay?:xAB:vYxI ;Z:jysy:Z:J:ryvY<:;Zymy;:B:>:xIya:J:ryvY<:;Zymy;::B:>:xIyA::::Z:J:ryvY :<:;Zymy;::::B:>:xIyAZ:J:ryvY:<:;Zymy;::::rYxQ:rYZ:jysy>:<:yayM:B:vYxI ;Z:jysy>:<:yay=::<:;Zymy;:B:>:xCymyxiy=::Z:J:ryvYJ:B:vYxI;Z:jysy>:<:ya y=::jYwqysY;Z:jYsyxI<:;ZymyC:>:xIya:J:ryvY<:;ZymyC:>:xIya:J:ryvY<:;Zym yC:>:::xIyA:Z:J:ryvY:J:B:vYxI;Z:jysy>:<:yayM:B:vYxI;Z:jysy>:<:yayM:B:: :vYxI;Z:jysy:Z:J:ryvYJ:B:::vYxI;Z:jysy>:<:yayM:B:vYxI;Z:jysy>:<:::yaym YwqysY;Z:jYsyxIxeyxIyE:>:xEyqy;::<:;Zymy;::::::::::::::::::::::::::::: ::::::::::::B:yay=::::xIyA:>:<:yayM:B:vYxI;Z:jysy>:<:yayM:B:vYxI:; Z:jysy>:<:yayM:B:vYxIB:>:xIya:J:ryvY<:;Zymy;B:>:xIya:J:ryvY::<:;Zymy;: ;Z:jysy>:<:yayM:B:vYxI;Z:jysy>:<:yay=:<:;ZymyviYtayqy;::J:B:vYxI;Z:jys y:Zyti;Z:jysy>:<:yay=:<:;ZymyC:>:xIyA:Z:J:ryvY<:;ZymyC:>:xIyA::Z:J:ryv Y:::::<:;Zymy;B:>:xIyA::::Z:J:ryvY:<:;Zymy;B:>:xIyA:::::Zyti;Z:jysy>:< :yayM:B:vYxI;Z:jysy>:<:yay=::<:;Zymy;:yoY=:y]yuy;ZylywY::Z:J:ryvYJ:B:v YxI;Z:jysy>:<:yay=::J:B:vIxeyxYyAB:>:xIya:J:ryvY<:;ZY:xIya:J:ryvY <:;ZymyC:>:xIya:J:ryvY<:;Zymy;:B:>:xIyA:>:<:yayM:B:vYxI;Z:jysy>:<:yayM :B:vYxI;Z:jysy>:<:yayM:B:vYxI;Z:jysy:Z:J:ryvYJ:B:vYxI;Z:jysy>:<:yayM:B :vYxI;Z:jysy>:<:yayM:B:vYxI;Z:jysy>:<:y=xuywYZ:J:rYjYyiy=::Z:J:ryvY::: ::::::::::::::::::::::::::::::::::::::::;Zymy;:;Z:jI[yA:<:y ayM:B:vMxC;Z:jysy>:<:y_YtaymyxiyA:<:y^YL:B:vYxI;Z:jysyZ:J:ravM<:;ZymyC :>:xEvmysYyqy=:;ZYlIC:>:xIyA:ZysY;Zy:< :yaymyvi:jY[Y@:xIya:J:ryvYxaywMyvyxI::J:B:vMxC;Z:jysy>:<:y?xS:B:vYxIym y<:y?xS:ryvY<:;ZYlywy:J:ryvY::<:;ZYlIC:>:xIya:J:ryvY:::<:;Zymy;::::B:> :xIyAZ:J:ryvY:::::<:;Zymy;B:>:xIyAZ:J:ryvY::::J:B:vQra;Z:jysy>:<:y^yuy ;Z:jysy>:<:y^YL:B:vYxI::B:>:xIyA:vIyE:vMxiyyMy>yqy;::<:;Zymy;;Z:jIsa>: <:yayM:B:vQraymyxiy=:>:<:yaYta;:vY<:;ZymyC:>:xCy^:J::y]:J:ryvY<:;Zy:xIya:J:ryvY<:;ZYlIC:>:xIyA:ZysY;Zy:<:yayM:B:vMxiyA: <:yayM:B:vMry;Z:jysy>:<:y^YL:B:vYxIymy<:y?xS:ryvY<:;Zymy;;Z:jIsa>:<:ya yM:B:vMxC;Z:jysy>:<:y^yuy;Z:jysy>:<:y^YL:B:vYxI;Z:jysaxS::ya:J:ryvMyF: Zy=::<:;Zymy;:::::::::::::::::::::::::::::::::::::::::B:yay=::::xI yA:>:<:y>>:xCyqykYwqysY;Z:jyryxI<:;:vQ<:y=xyYwqysY;Z:jyryxI<:;:Zymysix uyvi:J:rYvQywyxY:B:ZyL:rYvYyyixuyvi:J:rYvYyA:::ymy<:;ZY:xCy qykYwqysY;Z:jyryxI:xay?:<:y>xI<:;ZymyC:>:jYsyxI:jYwqysY;Z:jyryxIjYwqys Y;Z:jyrixuywYZysY;Z:jI[y]:J:ra>:<:y^yuy::rixuyvi:J:rYvQywyxY:B::vYxI:: B:>:xIyA::::Z:J:ryvY:<:;Zymy;::::B:>:xIyAZ:J:ryvY:<:;Zymy;::::yoYyay?: <:y]ytiyqy=:;:vM<:;ZYlywYvQywYxQ::;Z:jysy::Z:J:ryvY:J:B:vYxIyoYyaywYyA ::;Z::jysyvQywYxQ:B:vIxeyxYyI:>:jYC:vIxiy=:vMyF:>::xI;Z::xIB:ZY:xIyaytiymy<:;ZykywY:::vIyE:>:xCyqykYwqysY;Z :jyrixuywy:J::y^:J:ravYyI:>:jIC:>:xCyqykYwqysY;Z:jyryxI:xay?:<:y>xyyvi :J::ryvQywYxQ:B:vIxiy=vQywYxQ:ra>:<:ya:J::y>>:xCyqykYwqysY;Z:jyryxIjIw m:J::ryvYxcY@:<::yay=:jYwq:jyZy=:::::::::::::::::::::::::::::::::::::: :::Z:vYxI:::B:;J:ryvY:J:B:vYxI:::::::::::::;Z:jysy:::::::::::::::::>:< :yay=:::::::::<:;Zymy;:::::::::::::::B:>:xIyA:::::::Z:J:ryvY:::<:;Zymy ;::::B:>:xIyAZ:J:ryvY:::::<:;Zymy;B:>:xIyAZ:J:ryvY::::::::::::::J:B:vY xI::B:>:xIyAZYta;Zy;yArYxqYwqyuy::B:>:xIyA::::::::::::::::::::::::Z:J: ryvY:::::::::::::::::::::::::::::xay?:jy;::::::;Z:jysy:::::::::::::::: :vMyF:vQry::::::::::::::::::::::::::::::::::::::::::B:yay=:J:: xIya::xI;Z:jysy:::::::::::::>:<:yay=::::::::::::::::J:B:vYxI:::::::::B :>:xIyA:::::::::::::::Z:J:ryvY::::::::<:;Zymy;::B:>:xIyA::::Z:J:ryvY:< :;Zymy;::::B:>:xIyAZ:J:ryvY:<:;Zymy;::::::::::::::;Z:jysy::Z:J:ryvY:xa y?:xEvYZYtaymyxiy=:Z:J:ryvY:::::::::::::::::::::::::<:;Zymy;:::::::::: ::::::::::::::::::rixU::yA::::::>:<:yay=::::::::::::::::jyvIvYyA:::::: ::::::::::::::::::::::::::::::::::::B:yay=:J::<:yay=:::::::::<:;Zymy;:: :::::::::::::B:>:xIyA:::::::ZysY;:>:xAyqy;jYwq:J:rivYyA::::yoY=:;Zylyw YvQyG:>:xEyqy;:::jYwq:J:rivYyAyoY=:;ZylywYvQyG:>:xEyqy;:::::::::::::J: B:vYxI::yoY=:;ZylywYvMyF:>:xIyA:>:xCyqy;:xay?:xI;ZykywY:::::::::::ZysY ryxI::::::::::<:;Zymy;:::::::::::::::::::::::::::::ynIyiy=::::::>:<:ya y=::::::::::::::::xcY@:xEvY::::::::::::::::::::::::::::::::::::::::::Z :vYxI::;B:<::::yA>:jysy:::::::::::::ZysY;Z:jIsyxI:::::::::::::::<:;:vY xI:::::::::;Z::xIyA:::::::::::::::>:<:ryvY::::::::jyvi:J:rajy;<:;::Zym y;::B:>::::::xIyA::Z:J:::::::::ryvY:::::::::::::<:;:vYxI:B:>:::xC;Z::j ysyvQyG:>:jIsyxI:jyvi:J:rajy;:::::::::::xay[yuy::::::::::;Z::xIyA::::: :::::::::::::::::::::::::::::::Z:J::yay=::::::::::::::::xaywQywyxI:::: ::::::::::::::::::::::::::::::::::::::::xIyA:::vIyE:vQxaywYyA:::::::::::::::::::::::::::::: :::::::::::::::::::::::::ymy<:ZywYyA:::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::yoY=:y>xI:::xcY@:xEyqy;:::::::: :::::::::::J::vYZytiymyxiy=:::::Zyti;Z:jyC:>:xIynI=:y_yuy:::::B:yay=:: xay[yuy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::B:;J:ryvY:::::<:y?xI::::::::::::::::::::::::::::::::::::: :::::::::::::::::::<:Zy=:::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::vIy=yqy;:::jyvIvYyA::::::::::::::::::::ynI=: ;::Zymy;:::::rYxAxiy]:J:ryvYxay[yuy:::::B:yay=:jYwq:jIsyxY:xY:B::::vYJ::yA>:jy;;ZYL :rYvQywyxY:B::vYxIraxCxiy=:::vIyE:vIxeyxYyAyoYyay?:<:y]ytiyqy=:;:Zy=<: ::ryZ::xIyaYta;Z:jyryxI:xay?:jYwqyuyraxS:B:vQryraxS:B:vIxiy=vQywYxQ:ra Z::xIyA:vMyF:>:xE;Z::jyC:>:jysyvMyF:>:xAyqyK:B::vYJ::yay=::xcY\\yuy:ri xuyvi:J:rYvQywyxIxcY@:<:y>>:jysy:>:<::yA>:jy;;:vYxcY@:<:y>>:jyC:vQ<:;Z YlywYvMyF:>:xEyqy;:xeyxIy=yoYyay?:xCB::vY<:;:vYjYC:>:xCyqy;xay[yuyrYxA xiy=ZYta;Z:jyZy]:J::ryvY::<:;:Zy=<::yay=xeyxIyE:>:xAyoYyiyA:<::yA>:jy; ;:vYxI:rixU:ravYyAraxS:B:vIxiy=vQyG:vMxiy=:ZYta;Z:jY;;:ZyM:B:::Zymy;yo Yyay?:<:y]ytiyqykIwm:J:raZ::xI;Z:::xAvq:J::ryZ::xIyA:vQyG:vMxiy]:J:ryv Yxey@:xCvY::vIy=yqy;:xIyA::>:<:yayM: B:vYxI;Z:jysy>:<:y^YL:B:vYxI;Z:jysy:vMyF:vMxiyyMyvYxqywY::>:<:y_ysYyqy =:;ZymyC:>:xIya:J:ravM<:;ZymyC:>:xIya:J:ryvY::<:;ZYlIC:>:xIya:J:ryvY<: ;ZymysaxS:ravYyyaxsyviyuy::B:>:xIya:jIsyxY:B:vYxI::;ZY:xIya:J:ryv Y<:;ZymyC:>:xIya:J:ryvY<:;ZYlIC:>:xIya:J:ryvY:<:;Zymy;::rYxQ:rivQxaywY yA;Z:jIsa>:<:yayM:B:vYxI;Z:jysy>:<:yayM:B:vYxIynI=:y^yuyynIyaywYyAymy< :y_ylyviyuyB:>:xEviyuyynI=:y^yuyynIyaywYyA;Z:jIsa>:<:yay=:J:B:vQrYyqy= :;ZymyC:>:xIyaYta;ZYlywyYtaymyxiy]:J:ryvY<:;Zymy;::B:>:xIyAZ:J:ravM<:; ZymyC:>:xIynI=:;Zymy;:B:>:xIya:J:ryvY<:;ZymyC:>:xIynI=:;ZymyC:vMxiyA:< :yayM:B:vQrYyqy;:<:;ZYlIC:>:xIya:J:ryvY<:;ZymyC:vMxiyA:<:yaymYwq:J:ryj Y=:;Zymy;ynI=:y^yuyynIyaywYyA;Z:jysy:::>:<:yay=<:;Zymy;B:>:xCy^:J:ryvY <:;ZymyC:>:xIya:J:ryvY::xay?:xEyqykIwm:jIsyxyIwmysYyqykYwq:jyZy=:Z:J:r ivIyuyxY:B:vYxI;Z:jysy>:<:yay=J:B:vMxC;Z:jysy>:<:yaYta;Z:jysyvMyvixuyw Y::>:<:yayM:B:vYxI::ymy<:y?xI<:;ZymysixU:rYvYyA::ymyjywYZ:vYxI::;B:<:y ay=J:B:vYxIB:>:xIyA::>:<:yayM:B:vYxI;Z:jysy>:<:yayM:B:vYxI;Z:jysy:>:<: yay=:::J:B:vYxIB:>:xIya:J:ryvYxcY@:xCyqy=:;ZymyC:>:xIya:J:ryvY::<:;Zym yC:>:xIya:J:ryvY<:;ZymyC:>:xIyA:::Z:J:ryvY:xay?:<:yay=::jyvi:J:ryvY<:; ZymyC:>:xIya:J:ryvY<:;ZymyC:>:xIya:J:ryvY<:;Zymy;ynI=:;ZYlywY::Z:jyryx I:J:B:vYxI;Z:jysy>:<:yayM:B:vYxI;Z:jysy>:<:yayM:B:vYxI::;Zy;yA:B:>:xIy A>:<:yay=:J:B:vYxI;Z:jysy::>:<:yay=<:;ZymyC:>:xIya:J:ryvY::<:;ZymyC:>: xIyA::vMyF:>:xCyqy;<:;ZymyC:>:xIya:J:ryvY<:;Zymy;:B:>:xIya:J:ryvY<:;Zy myC:>:xIya:J:ryvY:xay?:<:yayM:B:vYxI::raxS:ravYyI:>:xIya:J:ryvY<:;Zymy ;rYxQ:B:vYxIynI=:;ZylIwm:J:ravYyA;Z:jysy::>:<:yay=::J:B:vYxIB:>:xIyAZ: J:ryvY<:;ZymyC:>:xIya:J:ryvY<:;Zymy;:B:>:xIyA>:<:yay=::<:;Zymy;:B:>:xI yA>:<:yayM:B:vYxI;Z:jysy:>:<:yayM:B:vYxI;Z:jysy>:<:yaymYwq:J::y]yuy:;Z :jysy>:<:yay=:J:B:vYxIB:>:xIyA>:<:yay=::::Z:B:vYxI:;Z:jysyZ:J: ryvY::J:B:vYxI;Z:jysy>:<:yayM:B:vYxI;Z:jysy>:<:yay=J:B:::vYxI::;Z:jysy Z:J:ryvY<:;Zymy;ymy<:y=>:xIya:J:ryvY<:;Zymy;:B:>:xIya:J:ryvY<:;ZymyC:> :xIya:J:::ryvY::<:;Zymysixuyvi:J:rivYyA::yoYyay?:<:y_yuyB:>:xIya:J:ryv Y<:;ZymyC:>:xIya:J:ryvY<:;ZymyC:>:xIyA>:<:y_:jysy::Z:J:ryvY:J:B:vYxI;Z :jysy>:<:yayM:B:vYxI;Z:jysy>:<:yayM:B:::vYxI;Z:jysy:Z:J:ryvYJ:B:::vYxI ;Z:jysy>:<:yay=:J:B:vYxIB:>:xIya:J:ryvY<:;::ZymyC:>:xIya:J:ryvY::J:B:v QjysyZ:J:ryvY<:;ZymyC:>:xIya:J:ryvY::<:;ZymyC:>:xIya:J:ryvY<:;ZymyC:>: xIyaytiymy<:;ZylywY>:<:yay=::jyvi:jy:;ZymyC:>:xIya:J:ryvYxeyxIyE:>:xEy qykyvi:jIsYxA<:ZywYyA;Z:::jysy>:<:yay=::J:B:vYxIB:>:xIyAZ:J:ryvY<:;Zym yC:>:xIya:J:ryvY<:;Zymy;:B:>:xIyA>:<:::yay=<:;Zymy;:B:>:xIyA>:<:yayM:B :vYxI;Z:jysy:>:<:yayM:B:vYxI;Z:jysy>:<:yayM:B:vQxE;Zy;yA;Z:jysy>:<:yay =:J:B:vYxIB:>:xIyA>:<:yay=::::Z:B:vYxI:;Z:jysyZ:J:ryvY::J:B:vY xI;Z:jIsyxY:B:vYxI;Z:jysy>:<:yayM:B:vYxI:;Z:jysy>:<:yay=:J:B:vYxIB:>:x Iya:J:ryvY:jYwq:J:ryvY<:;ZymyC:>:xIyA:Z:J:ryvY<:;ZymyC:>:xIya:J:ryvY<: ;ZymyC:>:xIyA:Z:J:ryvY<:;ZykYwqyuy:::;Z:jyZyxYyAB:>:xIya:J:ryvY<:;ZY:xIya:J:ryvY<:;ZymyC:>:xIyaYta;ZykywyysYynIyiy=:Z:J:ryvY:J:B:vYxI;Z :jysy>:<:yayM:B:vYxI;Z:jysy>:<:yayM:B:vYxI;Z:jysy>:<:yay=:<:;Zymy;;Z:j ysy>:<:yayM:B:vYxI;Z:jysy::>:<:yay=<:;ZymyC:>:xIya:J:ryvY<:;ZymyC:>:xI ya:J:ryvY::xcY@:xAyqyyaywMyvyxI<:;ZymyC:>:xIya:J:ryvY<:;Zymy;:B:>:xIya :J:rajy=:;ZymyC:>:xIya:J:ryvY<:;ZykYwqyuy:;Z:jysy::::vQyG:>:xIya:J:ryv Y<:;ZymyC:>:xAvqyuy:;Z:jysYxQ:rajyyaywYyA;Z:jysy>:<:yayM:B:vYxI:::;Z:j ysyZ:J:ryvY:<:;ZymyC:>:xIya:J:ryvY<:;ZY:xIyA:Z:J:ryvYJ:B:vYxI;Z:j ysyZ:J:ryvY::<:;Zymy;;Z:jysy>:<:yayM:B:vYxI:;Z:jysy>:<:yayM:B:vYxI;Z:j ysy>:<:yayM:B:vYxI;Z:jysy>:<:yay=:J:B:vYxIB:>:xIyA>:<:yay=:::: Z:B:vYxI:;Z:jysyZ:J:ryvY::J:B:vMxC;Z::xA;Z:jysy>:<:y^YL:B:vYxI;Z:jYsax syviyuy;Z:jIsa>:<:yay=:J:B:vYxIB:>:xCyqy=:;ZymyC:>:xEvm:J:ryvY<:;ZYlyw y:J:ryvY::<:;ZYlIC:>:xIya:J:ravYyI:>:xIya:J:ravM<:;Zymy;:B:>:xIya:J:ry vMyF:Zy=:J:B:vYxcY@:jyC:>:xIya:J:ravM<:;:vI<:;ZymyC:>:xEvm:J:ryvY<:;Zy mIwm:J:ryvYxey@:jy;:rYxQ:rivMyF:vYxI;Z:jIsa>:<:yayM:B:vMxiyA:<:yayM:B: vMry;Z:jysy>:<:y^YL:B:vYxIymy<:y?xS:ryvY<:;Zymy;;Z:jIsa>:<:yayM:B:vMxC ;Z:jysy::>:<:yay=<:;ZYlywy:J:ryvY<:;ZYlIC:>:xIya:J:ravYyI:>:xIyA:vMyF: >:xIyayti;:vY<:;ZYlIC:>:xIya:J:ryvY<:;Zymy;:B:>:xCy^:J::y=>:xIya:J:ryv Y<:;ZymyC:>:xIynI=:ry>:<:yay=::<:;ZylIwm:J:ryvY<:;ZYlywy:J:ryvY<:;ZymI wm::xay?:xCyqyycY@:xEyqyycY\\yuy;Z:jIsa>:<:yayM:B:vQxcYxIyuyxI:J:B:vYx IB:>:xEvmysYyqy=:;ZYlIC:>:xIya:J:ravM<:;:vI<:;Zymy;:B:>:xIyA>:<:y^YL:B :vYxIB:>:xIyA:Z:J:ryvYJ:B:vMxiyA:<:yayM:B:vQraymyxiyA:<:y^YL:B:vYxI;Z: jysy>:<:yaymyvi:jYsi>:xAyqyK:B:vMxiyA:<:yay=:J:B:vYxIB:>:xIyA>:<:yay=: :::Z:B:vYxI;Z::jysy:Z:J::y^:jyryxyIwm::xeyxYyAyoYya y?:<:y]ytiyqy=:;:vQ<:y]yuyyoYyay?:<:y]yuy::rYxQ:B::vY<:;ZY<<:y^yuyrixu yvi:J:rYvQywyxY:B:ZYL:B:vMxiy=:Zytiymy<:;ZykYwqyuy;Z::xC;Z:jIsyxIxeyxI yE:>:xAyqy;:J:B:ZymysaxS:B::vYxI::ynI=:;:ZyM:B:Zy=<:raZy;yyaxS::yoYyiy A:<:raZy;ywyxI<:;ZyL:B:ZYlywy:J::yay=:jyvi:J:rajykYwqysY;Z:jyrixuywy:J ::y^:J:ravYyI:>:jIC:>:xCyqykYwqysY;Z:jyryxI:xay?:<:y>xyyvi:J::ryvQywYx Q:B:vIxiy=vQywYxQ:ra>:<:yay=:xay?:<::ya:J:raZ:jIsyxIxeyxIyE:>:xAyqyK:B :ZYL:B:vMxiy=Zyti;Z::xCvy:J::yaytiymy<:;ZykYwqyuy;Z::xIB:Zymy;:;Z::xC; ZykywyYta;:vQywyxY:B:Zy=<:ryvYxcY@:<::yaysY;Z::jysy:Zytiymy<:;ZykYwqyu y;Z::xCB:vMxiy]Yta;Z::jI;;:vY<:;:vYJ:ravQywYxQ:B:vIxiy]:J::y_:jyZy=Z:J ::ryZ::xErYjyyeyxIyE:>:xAyoYyiyA:<:ra>:xAyqyycY@:jYwqyuy::rYxQ:rijykYw qysY;Z:jyryxIjYwq::ry::ymy<:;:ZyM:B:vMJ:ravYyI:>:jY;y]yuyyoYyay?:<:y]y tiyqy=:;:vYJ::yay=xay?:<::ry>:<:y^:J:ravYyA::ymy<:y_Yta;Z::xIyayti;Zyk ywY::::Z:vYxI::ynI=:y_yuy:;B:<:yay=<:;Zymy;:::::::::::::::::::::ymy<:r yZ:J:ryvY:::::::::::::::::::::::::::::::::::::::::::::::::<:;Zymy;:::: ::::::::::::::::::::::::rYxQ::yA::::::>:<:yay=:jyvi::xIB:>:xIyA::::::: ::::::::::::::::::::::::::::::::vIyE:Zy=:::::::::::::::::::::::::::J:B :vYxI:::::::::::::::raxS:rijy;:::jIwm::ry::rYxQ:ryvYJ:B:vYxI:::::::::: :::::::;Z:jysy::::vMyF:vQry::raxS::vY::::Z:vYxI::rYxAxiy=>Z:B:vYxIB:>: xIyA:::::::::::::::::::::vQyG:Zy=<:;Zymy;::::::::::::::::::::::::::::: :::::::::::::::::::B:>:xIyA::::::::::::::::::::::::::::Zyti;:vY::::::J :B:vYxI::yoY=:ryZ:J:ryvY:::::::::::::::::::::::::::::::::::::::jYwq::x I::::::::::::::::::::::::::::;Z:jysy::::::::::::::::vIy=yqy;:::jyvIvYy A::rixU::yA>:<:yay=::::::::::::::::J:B:vYxI::::rYxAxiy=:ZysYryxI:::::< jysy::Zyti;ZYlywyyti;Z:jYsyxIxay?:xI;B:xAyqy;::::::::::::::::::::xcYxY yAB:>:xIyA:::::::::::::::::::::::::ZysYryxI:::::::::xay[yuy::::::::::B :>:xIyA:::::::::::::::::::::::::::::vMyvyxI::::::J:B:vYxI::raxsywYZ:J: ryvY::::::::::::::::::::::::::::::::::::::::xcYxYyA::::::::::::::::::: :::::::::ymy<:B:vIxiy=::::::::::::::vQyG:vMry:::raxS:rivYyA:::ynIyiy=> :<:yay=::::::::::::::::J:B:vYxI::::rixU:rajyyay[yuyynI=:y_yuy:::::B:ya y=::jYwqysY;Z:::jysyvIyE:>:xCyqy;:::::::::::::::::::::J::jysy::::::::::::::::Z:J::yay=::::jY wqysYyqyyay[yuyymyxeyxYyA:::::B:yay=:::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::<:xI::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::B:ry:::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::Z:Zy=:::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::<:xI::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::B: ry:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Z:Zy=:::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::<:xI::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::B:ry:::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::Z:Zy=:::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::<:xI::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::B:ry:::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::Z:Zy=:::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::<:xI::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::B:ry:::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :Z:Zy=:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::<:xI: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::B:ry:::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::Z:Zy=:::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::<:xI::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::B:ry:::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::Z:Zy=:::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::<:xI::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::B:ry:::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::Z:Zy=:::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::<:xI::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::B: ry:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Z:Zy=:::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::<:xI::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::B:ry:::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::Z:Zy=:::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::<:xI::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::B:ry:::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::Z:Zy=:::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::<:xI::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::B:ry:::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :Z:Zy=:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::<:xI: :::::::::::::::::::::::yoY=:y>xI:::::::::::::::::jIsixiy=ymyyAy_YlyyI: ::vMxEyyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::xAy ]ylIsyyA:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::<:xI:::::::::::::::::::::::::;B::yA::::::y^:ryv Y:::vQjyyI::::ZYlIsyyA:jIky;::ZYlIsyyA:::::xCy_yyY:::::::::::::::::::: ::::::::::::::::::::::::::::::::ravyy=::::::::::::::::::::::::::B:viys yyA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Z:vyyuy:: rYry:::J:Zy=:::::vMxCyyy:::::::::::::::::::::::::::::::::::::::::::::: ::::::jyjy;:::::::::::::::::::::::::ZylyrYvyy=:::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::B:yay=::::::::::::::Zy=B:vIxyy;vI<:;Zyuy::y_:J:r ivyy=:y=>:xiy=vIJ:::riry:xCy^yyY:::::rYvIxyy;::::Z:J:::ryxI::::::::jYs Yry:::jyB:vQxyy;>:xAyyy::::::::::<:yqy;:::::xE;Z:jYsyyA:::::::::::::jY sYry::::xA;Z::::xEyyy:jYC:vIxyy;:::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::Z:vYxI::::::::::::::yoY=Z:>:xEyyyyA::rixU:B:vQxiy=::ZY ta;:jy;:::J:yA:xAB::ZY\\y=:;ZylyyI::::ZykyryyA:::::jYC:>:xEyyy::::::::jIs YvIxExI:::vIxCy^y\\yua>:xAryyA:::::::::<:yqy;:::::xE;Z:jyryyA::::::::: :::jIsYvIxEyyy::::J:B:::ZYlyyI:Z:J:ryxI::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::Z:>:xIyA::ZYta;Z:jIsyxI: ::xey@:xAxyy;:::J:vy:jIky;:Z:jyjy;:vMvYy]:jIsYvyy=::::yoy=:y]ylyryyA:: ::jyjy;vM<:yqy;jyB:jy;::::::::::::<:;Zyuy::::::::y>vIxEyyy::::::xCyyyx A;ZYlyryyA:::::::::<:yqy;:::::xE;ZykYsYvyy=:::::::::::y^::xEyyy:::::jY savyy=:y^ykyyI:vM<:;Zyuy:::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::B:yay=::::::::::::::vMxyy;:ZYL:B:vQyyyyA::::jI;y^yyYy]y\\y=::::rYvyy=:::y_::vY ::::::::::::B:>:xiy=::::::vM<:y]ylyyI:::::::vMJ:riry::::::::::<:yqy;:: :::xCravyyuY:yA:::::::::jIC:vIZy=::::::rivMxyy;ZylyyI:>:<:y]yyY::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::B:yay=:::::::::::::::<:yqy;::::jIC:vMxyywQxAyyy:::::xEjy;::vQ<:y=yA::::::::::::<:;Zyuy:: ::::y^:jIsivyy=::::::::y_:J:ryxI::::::::::<:vY:::::ZYL:ravyyuivIvY:::: :::::y^::xEyyy::::::::jYsYry:::J:B:vQxyy;::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::Z:vYxI::::::::::::::B:;B:;ZyyYyA::vIyE:vQryyo YyaywYyA:::;Z:jysy::::vQyI:xyIsyyA:J:B:vYyA::ra>:xAxI:::::vMjYsyyAxCy^ yyY:::::y_y[y=::B:>:xiy=:::::::::::Z:J:ryxI:::::jIC:vMxyy;::::::::vM<: y=yA:::::::J:B:::::Zyuy:::raZylyyIvMxCyyy::::::::jIC:vMxyy;::::::::ZYl yjy;::vM<:y?yA:::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::< jysy::::::::::::::Z:>Z:>:xyywY::xey@:xAvYZysYyoYyiy=::>:<:yay=:::xCymy yCyyy::J:vy:jywY::Z:J:rary:::::jyB:vQvY:y]yyY:::::ravIvY::B:>:xiy=:::: :::::::Z:J:ryxI::::::jIC:vIxExI:::::::>:<:y^yyY::::::::::B:vYyA:::::rY >:xExIZykyyI:::::::::vM<:y]y\\y=::::::::y=ry:::xCy]YlyyI:::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::Z:vYxI::::::::::::::B:;B:;ZyyY yA:ZysY;Zy:xCyyyjIsYry::<:;Zyuy::::::::::::B:>:xiy=: ::::::vM<:y]y\\y=:::::raZ:jIsiry:J:B::Zyuy:::::B:jy;::::jYC:>:xEyyy:xA yyyJ:B::Zyuy:::::::y^:jyriry:::::::jYC:vYyA:::y_yK:Zy=:::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::Z:vYxI::::::::::::::B:;B:;Zymy;:B :>:xIyA:vIyuyyyy::rixU:raryyA:::rixIxCxI::>:yI:vYyA:B:>:jyryyQ:B:vYyA: ::;Z::jYsyyAxA;Zyuy::::y^:J:::y]yyY:B:>:xiy=:::ZykyryyA::::::<:;Zyuy:: :::::::y^ykyriry::::J:B:Zykyyi:J:ryxI:<:vY>:ry:::::B:jy;::::<:;:Zy\\y= y]:jywYZ::yA;:xI:::::::jI;y]y\\y=::::::B:vMxyy;:ZYly:xI::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::Z:vYxI::::::::::::::B:;B:;ZyyYy A:vMyF:vMxyyyI:jIwMvYyA:raxS:rijy;::::Z:>:xIyA:>:<:ya y=::xaywyyyY:ZysYryxI::::jYC:xY:ryxI:jIC:vQxyy;::::::::::::::::::::::v MjIsyyA::::::::::::<:;Zyuy::::::::::::::::::::::B:jy;:::::<:vY:::::::: :::Z::yA::::::::::::::rary:jYC:>:xiy=:>:<:y_yyY::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::B:yay=::::::::::::::Z:vy:jYwYyA::xE;Zyuy:::: :::::::::::::::::::;ZylyyI:::::::::::Zysyy]:J:ryxI:::::::::::::::::::: ::J:Zy=::::::::::::::::::>:ry::::::::::::::ri>:<:::y_yyY::y_:J:ryxI::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::Z:>:::xC;Z:::xIyA:>:<::y_:jIsyxI:::::jyZymy;::jIsavyy=::::::::::::: ::::::::rYvMvY::::::::::::rixyIsY>:ry:::::::::::::::::::::::;:xI:::::: ::::::::::::J:Zy=::::::::::::::vQxAB:vIxEyyy:::<:ryyA::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::xiy=::::::::::::::::::>:ry::::::::::: :::::::::rivI<:y_yyY:::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::B:yay=::::::::::::::::::::::::::::::::xEy=;jywY:::vQxCxI::::::::: ::::::::::ZYlYsyyA::::::::::::::::::::::::::::::::::::J:Zy=>:ry::::::: ::::::::::;:xIJ:Zy=:::::::::::::::::::Z:jyriry:::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::; :vYyA:::::::::::::::::B:>:jywY:::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::Z:vYxI:::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::B:ry::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::Z:Zy=::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::<:xI::::::::::::::::::::::rYxqYwqyuy:::::::::::::: ::::::rYxY::Zy=:::::ZYL:vyyuy:::riZyyY:::::y^YlyyI:ZY\\y=:: :y^YlyyI:::::vMxEyyy:::::::::::::::::::::::::::::::::::::::::::::::::: ::jIsyyA::::::::::::::::::::::::::::::::::::::::::::::J:rYvyy=:::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::B:yay=:::::::::::::::::::::::xey@:;rivYyA :::::y]ykYky;::vMxAyyy:::::::<:yqy;:xE;Z:jYsyyA:xAB:vYyArYZ:::jYky;vMxCyyy:::::jy rYvyy=:::::;Z:::jywY::::::::Zylyjy;::ZyK:rivyy=B:vIxyy;:::::::::>:xiy= :::::vQ<:;ZylyyI::::::::::Z:jywY::::vI<:;::Zy\\y=::::::::::::y_ykyyI:: ::vI<:;:::vQxyy;ZyL:rYvyy=:::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::B:yay=:: :::::::::::jYwq:B:;ZylyyyykYwq:J:rivYyAyoY=:;ZylywY:vMyF::xI:::::xAryyAxA;ZY\\y=:ri>:<:y]yyY:rY>:xCxI:vIJ:: :y>yA:<:y_yyY:::::y]ykyyI:::::ZyL:B:vQxyy;:::::::ZYlyrYvQvY:::rYvMxCy? yqIC:vIjyyI:::::::::>:xiy=:::::vQ<:;ZykyyI::::::::::Z:jywY::::ZyK:B::Z Y\\y=:::::::::::y^ykyrivyy=::::B:>:::jIsyyA:J:B:vYyA:::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::B:yay=:::::::::::::::xIyA:vQyG :vIvyy=:::Z:ry;ZY\\y=::;Zy[y=:raryxA;ZYlyryyA::::xeyA:xAy_ykyyI::::Zy[ y=ra>:xiy=ZyK:Zy=::::::::::::>:<:yqy;:::::::xCrYvQxyy;:::::vMxyywI<:y^ ykyyI:::::::::>:xiy=:::::vQ<:y]ylyryyA::::::::::<:yqy;::::jyjy;vM<:vY: :::::::::vMjyrivyy=:::::rivMxyy;ZYlyryyA:xC;Z:jywY:::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::Z:vYxI::::::::::::::B:;B:;Zymy;B:>:xIyAZ:J:ryvY::<:y=x I::::xA;jy=:yqy;:xCravyy=::y^:J:rivyy=::::raZYlyyiykYky;::::vIxyy;::Zy L::xI::::::::::::>:<:yqy;::::::xC;ZykYsyyA:::::::xCB:vQvY::::::::::;Zy uy::::::y>vMxyywIZy=:::::::::B:vYyA:::::rYvyy=:::::::::::y^:jyriry:::: :::jYsavyy=:y_yyY:B:>:xAyyy::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Z:>:xyywY:<:;Zymy;B:>:xIyA:Z:J:ryvY::::xE;jy=:yqy;:xA; ZylyyI::vQ<:;Zyuy:::::ra>:xCyyyxEy]yyY:::::y?ry:::xE;Zy[y=:::::::::::: ;Z:jywY:::::ZYL:ravQxyy;:::::::ZyL:B:vYyA::::::::::;:xI:::::jIC:vMxyyw QxAxI:::::::::Z:jywY:::::Zy:xEyyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::Z:>: xyywY:<:;Zymy;B:>:xIyA:Z:J:ryvY::::xE;jyyCyyy::<:;Zyuy:::y^:jyjy;::::Z Y:<:yqy;:::::xC;ZYlyyI: :::::::ZYL:rYry::::::::<:;:::::vYyA:::y>vQxyy[YlIsyyA::::::J:B:::::Zyu y::::y_y[y=:::::::::y^:jIsyyA:::::::::jIsYry:::xC;ZylyyI:::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::Z:vYxI::::::::::::::B:;B:;ZyyYyAZ:J:ryvY:<:;Zymy ;:B:>:xIyA:::vMxAy^yyY::B:xY:ryxI::J:B:vMvY:::::rY>:xExIZykyyI:::::vMx AxI::>:<:yqy;:::::::::::J:B:vYyA::::::ra>:xAy?yA:::::::<:;ZYlyyI:::::: ::::>:xiy=:::::vI<:y?yAjyryyA:::::::::<:yqy;::::::xCy=yA:::::::::jIC:v IxExI::::::::Zy;vY:::y^ykIsyyA:::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Z:>:xyywY:<:;Zymy;B:>:xIyA:vQyG:vIvyy=::Z:ryy]ytyxI: :Z:J:ryxI::xC;Z:jIsiry::::jYC:>:xEyyy:xAyyy::::<:y^yyYravIvY::;Z:jywY: :::::::::::>:<:yqy;:::::::xC;ZykYky;:::::vMJ:ravQvY:B:>::jywY:::::>:ry :::::ri>:<:y_yyY:y]yyYB:>::jywY:::::Z::yA:::::;ZYlyyIvMxAxIZ:J:::yqy;: ::::jIC:vIxExI:::::::ZyL:ryxI:::xEy]::yA:::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::B:yay=:::::::::::::::xIyA:vQyG:vMvyy=:::vQy Ay>yA:::<:rYvyyE:>:xiy=::Z:J::rivyy=y]:jywY:::ZYL:B::ZykyyI :>:<:yqy;:::jyrYvyy=::::::;Z:jywY::::::::ZYlyrYvQvY::::B:>:jyryyQ:B:vY yA:;:xI<:vY:::::>:ry:::::;Z::jYky[yK:ryxIJ:Zy]::yA:::::B:jy;::::jIC:>: :jyryyAJ:ryxI<:vY:::::::vMxAy]y\\y=:::::::;ZYlyyI::vMxAjy;:::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::Z:vYxI::::::::::::::B:;B:;ZyyYyAZ:J:ryvY:<:;Zym y;:ynI=:y?xI::::J:vyykyyI:ZyK:riry:jYsaxY::yyyxCryxI:::xEy^ykyryyAjyrY vyy=:::ri>:<:::y=yAxE:xI::::vIxAyyy::::::J:B:vYyA:::::::::rivIvY::::ri vM<:y_yyYy>vYyA:B:jy;:::::J:Zy=::::vQxCy]ykyyIZykyryyA:<:vY::::::Z::yA :::::y_:J:::rYry:<:yqy;::::::::jYsYry:::::::J:B:vYyA:rY>:ry::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::B:yay=:::::::::::::::x IyA:vIy=yyyyA::::ri>:yI:vYyA:ra>:xEyyy:::::::::::::::::::::::xCravyy=: :::::::::::;Z:jywY::::::::::::::::::::::>:ry::::::;:xI:::::::::::J:Zy= :::::Z::yA:::::::::::;:xI::::::::::::::jIky;ZyL:B:vYyA:B:>:xEyyy:::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::Z:>:xyywY:<:;Zymy ;B:>:xIyAZyti;ZylywY::::Z:ry;Zy[y=::;:ry:::::::::::::::::::::::xA;Zyuy :::::::::::::;Z:jywY::::::::::::::::::::::>:ry:::::::::::::::::::;:xI: :::::::::::::::::J:Zy=::::::::::::::vIxCy?yqYsY>:<:yqy;:xAB:vYyA:::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::B:yay=:::::::::::::jYwq:B:;ZylyyyykYwq:J :rivYyAyoY=:;ZylywYvQyG:vMvyy=::::Z:>ZyA:xeyuy::jYC:vYyA:::::::::::::: ::::::::B:vQxyy;:::::::::::vIxA;Z:jywY::::::::::::::::::::::Z::yA::::: :::::::::::::B:jy;::::::::::::::::::<:vY::::::::::::::vQ<:;::ZylyyI:Zy L:B:vYyA:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::B:yay=::::::::::::::xCvY:::::Zy;yay=::ZYlIsyyA:::::::::::::::::::::jyrary:::::: ::::::jYwyYlyB:jy;::::::::::::::::::::::<:vY::::::::::::::::::Z::yA::: :::::::::::::::B:jy;::::::::::::::xEy=>:xAy_yyY:::;:vyy=:::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::B:yay=::::::::::::::::::::::xaywQywyxI::::::xE;B :ryy_yyY:::y^YlyyI::::::::::::::::::::ZYlIsyyA:::::::::::::::::::::::: ::::::::::::::<:yqy;::::::::::::::::::<:vY::::::::::::::::::Z::yA::::: :::::::::::::::y_yK:rivyy=:::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::B:yay=:: ::::::::::::::::::::::::::::jYsYB:xiy=::ZylIky;:::::::::::::::::::vMxE yyy:::::::::::::::::::::::::::::::::::::<:vYZ::yA::::::::::::::::B:jy; <:vY::::::::::::::::Z::yAB:jy;:::::::::::::::::::J:rYvQvY::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::B:yay=:::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::J::<:ryxI:::::::::::::::::J:B:Zyuy:::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::B:yay=:::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::<:xI::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::B:ry:::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::Z:Zy=:::::::::::::::::::xaywQywyxI::::::::::::::::::: :xayAZ:riry:::::::::::::::::::::::::::::::::::jy:jy;:::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::Z:vYxI:::::::::::::::::::rixU:>:ryyA::::: ::::::::::::ravQyqy[ykyrivMxyy;::::::::::::::::::::::::::::::::::vIxAy ?ry::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::<:xI::::::::::::::: :::::B:;:ry::::::ra>:yyyxI:::xEryyA::::jIsavyy=:rary::jIsivyy=:::::::: ::::::::::::::::::::::::y^yyY::::::::::::::::::::::::::::::::::::::::: ::;ZykyyI::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::Z:vYxI::::::::::::::::::::rixU:>ZylywY:::::vIxAy?yA::jIsYvy y=:::::B:;ryyqy;:jyjy;:ZYlIsyyA::::::::::::::::::::::::::::::::xAxI::: :::::::::::::::::::::::::::::::::::::::vQxAy]yyY:::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::B:yay=:::::::::::::< J::yyivyy=::rYvIxyywI<:jy;>:xAyyy:xA;Z:jywY :ZyL:B:vQxyy;:vMxCyyy::::::xAy]yyY:::::;Z:::jywY:::::::::vQxAxI::::vQ< :;ZylyyI:::::::::::vI<:jy;>:xAyyy:::::::::::::jYsYry::::jyB:>:::jYsyyA :xE;ZykyyI:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::Z:vYxI::::::::::::::yoY=Z:>:xEyyyyAyoY=:;ZylywY:vMyF::xI::: ::xAryyAxA;ZY\\y=:ri>:<:y]yyY::B:vQxy y;::::ZykyryyA:::::xE;Z:jYsyyA::::::::jIsYvIxExI::::vQ<:;ZykyyI::::::: ::::vIxCy^ylyyiYL::ryyA:::::::::::jIsYvIxExI::::Z:J::::y^yyY::;Z:jywY: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: Z:vYxI::::::::::::::B:;B:;Zymy;B:>:xIyA:vQyG:vIvyy=:::Z:ry;ZY\\y=::;Zy [y=:raryxA;ZYlyryyA::::xeyA:xAy_ykyyI:ZyK:ryxI::::::::::::J:B:vYyA:::: ::::y^:jyrivyy=:::::y_::jyryyA::::::::::::xCyyyxA;ZYlyryyA::::::::::jI C:vIxEyyy::::::xEy^yyY:ravIxyy;ZYL:B:vYyA::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::B:yay=:::::::::::::::yI:vYyA:raZYlyyI::vM<:;ZylyyI::::ZY:xExI::::::::::vMjy:xI:::::::vQxCyyy:jYsyyA:<:;ZykyyI:::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Z:vYx I::::::::::::::B:;B:;ZyyYyAZ:J:ryvY::<:;Zymy;:::ri>:yI:vYyA:rY>:xEyyy: :jYC:>:xiy=::::ZYL:ravyyuivIxyy;ZyL:rYry::::::::::::J:B:vYyA::::::y^:j Isivyy=:::::::y^::xyywQxAxI::::::::::::vQ<:;Zyuy::::::::::y^:jIsivyy=: :::::::rivIvY:::B:>:xEyyy::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::Z:>:xyywY:<:;Zymy;:B: >:xIyA:::ZyL:vyYlyyI:Z:J:ryxI::jIC:vIvY:::::raZylyyIvMxCyyy:J:B:vYyA:: ::::::::::;Z:jywY::::::vM<:y^yyY::::::::y^:jYky[YlIsyyA:J:B:::::Zyuy:: ::y^:jyjy;:::::::::vMjIsyyA:::::::::jIsYry:::xC;Zy\\y=:::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::B:yay=::::::::: ::::::xIyA:Z:J:ryvY:::jIsYvMxyy;:Z:ry;Zyuy:::;Z:jIky;:: ::ZyK:riry:xAyyy:J:B:vYyA::::::::::::;Z:jywY:::::::vM<:y]y\\y=::::::y] :jYky;vIxyy;:::::::::::>:<:y^yyY:::::::::::y^:jyriry:::::::::xAjy;::vM xAy^yyY::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::B:yay=:::::::::::::::xIyA:vQyG:vIvyy=::Z:ryy]yt yxI::Z:J:ryxI::xC;Z:jIsiry::::jYC:>:xEyyy:xAyyy:J:B:vYyA::::::::::::;Z :jywY::::::::vM<:y]y\\y=::::ri>:<:y_yyY:y]yyY:::::::::::raZ:jIsiry:J:B ::Zyuy:::::::y^:jyriry::::::::xE;Zyuy:::rivI<:vY:::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::Z:vYxI::::::::::::::B: ;B:;Zymy;B:>:xIyA:vQyG:vMvyy=:::vQyAy>yA:::<:rYvyyE:>:xiy=: :Z:J::rivyy=y]:jywY:>:<:yqy;::::xAy]yyY::::::;Z:jywY:::::::::vMxAy]y\\ y=:::;Z::jYky[yK:ryxI::::::::::J:B:Zykyyi:J:ryxI:<:vY>:ry::::::::y>vIx ExI:::::::>:xCyyy::jIsY:yA:::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::Z:>:xyywY:<:;Zymy;:yn I=:y?xI::::J:vyykyyI:ZyK:riry:jYsaxY::yyyxCryxI:::xEy^ykyryyAjyrYvyy=r i>:xAxI::::ZykyryyA:::::J:B:vYyA::::::::::y_y[y=:::y_Y:xEyyyxCryxI:J:Zy=:::::::::vQxAxI:::::::>:<:yqy;:xA;:xI::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::< jysy::::::::::::::Z:>Z:>:xIyAZ:J:ryvY:jyvIvyyyY::::ZyL:vy:jywY:ZYyA:xE;Z:jywY:Z:J:rivyy=::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::B:yay=:::::::: :::::::xIyAZyti;ZylywY::::Z:ry;Zy[y=::;:ry::::::::::::: ::xA;Zyuy:::::::::::::;Z:jywY:::::::::::::::::::::::::::::::::::::Z::y A:::::::::::::::y]YlYkywQxA;Z:jywY:Zy;<:yqy;:::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::xEyqykYwq:jIkyyI::::::<:yqy;::::::::::::::::::::::::::::::::::::: J:Zy=::::::::::::::vQ<:;::ZylyyI:ZyL:B:vYyA::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::B:yay=::::::::::::::xCvY:::::Zy;yay=::ZYlIsyyA:::::::::::::jyrary::::::::::::jYwyY lyB:jy;:::::::::::::::::::::::::::::::::::::J:Zy=::::::::::::::Zyly:;Z ykYsyyA::J::yyy::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::xiy=::::::::::::::::::::vQxA;ZylyyI:::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::Z:vYxI::::::::::::: :::::::::::::::y_y[:ryxI:::xEy>yA:::::::::::jIsivyy=:::::::::::::::::: ::::::::::::::::::::::::::::::::::;:xIJ:Zy=::::::::::::::::::::>:xAy?y A::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::;:vYyA::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::B:yay=:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::< :xI::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::B:ry:::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::Z:Zy=:::::::::: ::::::xaywQywyxI::::::::::::::::::::xayAZ:riry:::::::::::::::::::::::: ::::::::::::::::::::::::::::::::xA:xI::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Z:v YxI::::::::::::::::rixU:>:ryyA:::::::::::::::::ravQyqy[ykyrivMxyy;:::: ::::::::::::::::::::::::::::::::::::::::::::::::::Zykyri:yA::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::<:xI:::::::::::::::::B:;:ry::::::ra>:yyyxI:::xEryyA ::::jIsavyy=:rary::jIsivyy=::::::::::::::::::::::::::::::::::::::::::: :::::::::ravyy=::::::::::::::::::::::::::B:vIxyy;::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::Z:vYxI::::