Random Hit roll counter


Arcanaville

 

Posted

Dont know if anyone noticed or not, but the random hit roll counter is at least 10% standard calculations. My blaster has a 95% chance of hitting a possessed scientist minion of same rank. I battled this person twenty times and took the hit/miss calculations directly from the hit roll tab and dumped them into an Excel spreadsheet. The 95% actually turned into 82%!

What's worse is the defense. I've soft-capped the defense for the exact same minion and ran the numbers again. According to the hit roll tab, the scientist had a 6.51% chance of hitting me. After one hundred attempts, the enemy struck me twelve times--far more than a 6.51% chance!

Now I know what you are thinking... different attacks have different accuracy bonuses (a Warhulk's flamethrower has a smaller percentage to hit than it's chain-gun). In my calculations, I filtered out the other attacks and only used the possessed scientist's base attack (Gale in this case).

The "random" hit rolls are not generating numbers at random--this can easily be proven by looking at the tab when using hibernate. The "random" numbers are all programmed to miss when using that power. Unless the NPC's have streakbreaker, there's no way the numbers could be accurate.

Check for yourselves.


 

Posted

Quote:
Originally Posted by Warrior7 View Post
Dont know if anyone noticed or not, but the random hit roll counter is at least 10% standard calculations. My blaster has a 95% chance of hitting a possessed scientist minion of same rank. I battled this person twenty times and took the hit/miss calculations directly from the hit roll tab and dumped them into an Excel spreadsheet. The 95% actually turned into 82%!

What's worse is the defense. I've soft-capped the defense for the exact same minion and ran the numbers again. According to the hit roll tab, the scientist had a 6.51% chance of hitting me. After one hundred attempts, the enemy struck me twelve times--far more than a 6.51% chance!

Now I know what you are thinking... different attacks have different accuracy bonuses (a Warhulk's flamethrower has a smaller percentage to hit than it's chain-gun). In my calculations, I filtered out the other attacks and only used the possessed scientist's base attack (Gale in this case).

The "random" hit rolls are not generating numbers at random--this can easily be proven by looking at the tab when using hibernate. The "random" numbers are all programmed to miss when using that power. Unless the NPC's have streakbreaker, there's no way the numbers could be accurate.

Check for yourselves.
I've checked the random number generator four times in the last six years. The most recent test for randomness was a test I completed the first phase of a few weeks ago after accumulating about 5 million random rolls (I'm eventually going to do a 100 million random roll analysis, once I have enough random rolls).

So far, I have discovered no evidence of non-random behavior. If you are logging chat and have all of the tohit rolls logged, and are willing to submit your findings to independent analysis, PM me and I will arrange to have your logs' random rolls analyzed.


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Posted

I have no hard data to support it, but something seems off to me as well. When playing my new KM scrapper, I feel like I'm missing more than I should. Checking the to hit numbers in the combat tab I see my to-hit values are generally in the mid 80s. I don't seem to be hitting that often, and that number seems pretty high since I'm only level 10 and don't have any enhancements slotted. Again, I have no data to back this up with, only my perception.


 

Posted

Perception is the worst indicator to go by. People tend to focus on the bad things that happen like missing 7 out of 12 times and not focus on the good things that happen like hitting 30 times in a row. Over time the RNG is random. Although it may seem tilted one way or another even over a period of hundreds of rolls, when you get into hundreds of thousands and millions of rolls, it evens out.

Do the research Arcanaville has done and if you still show that the RNG is skewed, then there may be an issue. Just need a few more million to hit rolls to keep track of and you are there.


 

Posted

Quote:
Originally Posted by Warrior7 View Post
According to the hit roll tab, the scientist had a 6.51% chance of hitting me. After one hundred attempts, the enemy struck me twelve times--far more than a 6.51% chance!

Now I know what you are thinking...
No, what I'm thinking is that 100 rolls is a ridiculously small sample. You absolutely can not draw statistical conclusions from a sample size of 100.


Paragon City Search And Rescue
The Mentor Project

 

Posted

Quote:
Originally Posted by Ironblade View Post
No, what I'm thinking is that 100 rolls is a ridiculously small sample. You absolutely can not draw statistical conclusions from a sample size of 100.
Actually, what I'm thinking now is that it occurs to me Gale has 0.9 accuracy, even for critters. So I'm trying to figure out how a soft-capped player could end up with 6.51% tohit vs Gale. If you're genuinely defense soft-capped, 6.51% net tohit implies 1.3 accuracy from the attacker. That's what you'd get if an even level Boss was attacking you with standard attacks. I'm trying to think of a situation where you'd see 6.51% net tohit from gale being used by an minion or LT, and coming up empty.

Just to be certain, I tried this myself just now:

Quote:
You activated the Elude power.
HIT Violet Rumble! Your Elude power is autohit.
Violet Rumble HITS you! Elude power was autohit.
You are now extremely Elusive, and almost impossible to hit.
Possessed Scientist MISSES! Gale power had a 5.00%% chance to hit, but rolled a 92.87.
Possessed Scientist MISSES! Charged Brawl power had a 5.00%% chance to hit, but rolled a 54.12.
Possessed Scientist MISSES! Lightning Bolt power had a 5.00%% chance to hit, but rolled a 57.67.
Possessed Scientist MISSES! Gale power had a 5.00%% chance to hit, but rolled a 15.74.
Possessed Scientist MISSES! Charged Brawl power had a 5.00%% chance to hit, but rolled a 54.38.
Possessed Scientist MISSES! Lightning Bolt power had a 5.00%% chance to hit, but rolled a 70.32.
Possessed Scientist MISSES! Gale power had a 5.00%% chance to hit, but rolled a 72.13.
Possessed Scientist MISSES! Charged Brawl power had a 5.00%% chance to hit, but rolled a 89.74.
Possessed Scientist MISSES! Lightning Bolt power had a 5.00%% chance to hit, but rolled a 42.60.
Possessed Scientist MISSES! Gale power had a 5.00%% chance to hit, but rolled a 46.52.
Possessed Scientist MISSES! Charged Brawl power had a 5.00%% chance to hit, but rolled a 11.38.
Possessed Scientist MISSES! Lightning Bolt power had a 5.00%% chance to hit, but rolled a 76.66.
Possessed Scientist MISSES! Gale power had a 5.00%% chance to hit, but rolled a 70.19.
Possessed Scientist MISSES! Charged Brawl power had a 5.00%% chance to hit, but rolled a 38.67.
Possessed Scientist MISSES! Lightning Bolt power had a 5.00%% chance to hit, but rolled a 25.96.
Possessed Scientist MISSES! Gale power had a 5.00%% chance to hit, but rolled a 7.89.
Possessed Scientist MISSES! Charged Brawl power had a 5.00%% chance to hit, but rolled a 15.78.
If you are really at the floor, Gale should only have a 5% chance to hit you, because its accuracy actually puts it in the hole: its actually lower than 5%, and forced to the 5% minimum floor.


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Posted

Higher level mobs perhaps? Not sure on the numbers on that. Or maybe rounding up to soft cap and was actually at 43.49%?


 

Posted

Quote:
Originally Posted by HelinCarnate View Post
Higher level mobs perhaps? Not sure on the numbers on that. Or maybe rounding up to soft cap and was actually at 43.49%?
It would have to be all the way up to 42.77%, because as I mentioned Gale has 0.9 accuracy. Gale's intrinsic accuracy pulls you down closer to the 5% floor as a result: you would have to have 7.23% tohit after defense for Gale's 0.9 accuracy to pull you down to 6.51%

Or I suppose it could have been a +1 minion, and you'd then need 43.42% defense (net accuracy from a +1 minion with gale would be 0.9 * 1.1 = 0.99 accuracy).


Also, just for giggles, this is the probability of getting hit N number of times out of 100 swings if your random chance to be hit is 6.51%:

Code:
hits	chance
0	0.12%
1	0.83%
2	2.86%
3	6.51%
4	11.00%
5	14.70%
6	16.21%
7	15.15%
8	12.27%
9	8.73%
10	5.53%
11	3.15%
12	1.63%
13	0.77%
14	0.33%
15	0.13%
16	0.05%
17	0.02%
18	0.01%
There's a 1.63% chance of seeing twelve hits out of one hundred when the chance to hit per swing is 6.51%. In other words, if a thousand people conducted this experiment, sixteen of them would probably see twelve hits. Its better than even money that at least one person would see sixteen or more hits.


A test for randomness would look more like this:

If the random rolls are interpreted to be 20-sided die, number of occurances of each face:

[198539, 198910, 198751, 197766, 199010, 197988, 199547, 198867, 199220, 199015, 198970, 198529, 199134, 198124, 197778, 198720, 198576, 199444, 198715, 198950, 250]
(the 250 is due to the rare occurances of the random roll 100.00)

20-bin partition, 2-tuple correlation analysis (number of times each number follows each number in two consecutive random rolls):

Code:
[9933, 9843, 9793, 9961, 10115, 9901, 10028, 9997, 9891, 9847, 9792, 9989, 10017, 9977, 9728, 9918, 10010, 9887, 9928, 9976, 9]
[9924, 10065, 9923, 9835, 10105, 9678, 10104, 10079, 10017, 10132, 9867, 9978, 9809, 9779, 9818, 9938, 9996, 10171, 9928, 9754, 10]
[9937, 9882, 9973, 9908, 9862, 9762, 10047, 9961, 9825, 9858, 9934, 9760, 10115, 9977, 9788, 9998, 9915, 10048, 10157, 10033, 11]
[10099, 9904, 9704, 9824, 9622, 9905, 9897, 9952, 10057, 9870, 10025, 9935, 9659, 10067, 9846, 9934, 9735, 9964, 9853, 9900, 14]
[10188, 9975, 9893, 9811, 10131, 9807, 9946, 9999, 10047, 9947, 10063, 9966, 9865, 9782, 9798, 9997, 10048, 9863, 9931, 9937, 16]
[9762, 9840, 9973, 9905, 9911, 9878, 9959, 9846, 9969, 9938, 9957, 9860, 9906, 9950, 9908, 9944, 9846, 9862, 9929, 9824, 21]
[9851, 9922, 9957, 10046, 10071, 10019, 10079, 9975, 9942, 9936, 10041, 9998, 9961, 9886, 10052, 9776, 9827, 10128, 9951, 10117, 12]
[10057, 9837, 10065, 9906, 9849, 9872, 10029, 10013, 9760, 9832, 9933, 10011, 9928, 9864, 10059, 9929, 9923, 9989, 9982, 10019, 10]
[9830, 9940, 10078, 9874, 10046, 9877, 9988, 9928, 10134, 9960, 9988, 9811, 10127, 9910, 9885, 9892, 10058, 9894, 9909, 10080, 11]
[9721, 9881, 9912, 9910, 9890, 9878, 10153, 9910, 9875, 10080, 10053, 9870, 10054, 10020, 9979, 9992, 9957, 10044, 9811, 10014, 11]
[9986, 9914, 10004, 9943, 10102, 9875, 9863, 10072, 9951, 9995, 9856, 9932, 9936, 9832, 10050, 10095, 9949, 9994, 9820, 9788, 12]
[9996, 9843, 10007, 9946, 9933, 10003, 9946, 9920, 10019, 10026, 9958, 9801, 9741, 9909, 9830, 9916, 9844, 10043, 9949, 9887, 12]
[9966, 10032, 10077, 9831, 10032, 9990, 9938, 10000, 9947, 9972, 9922, 9851, 10029, 9945, 9793, 9834, 9915, 10030, 10045, 9974, 11]
[9825, 10016, 9895, 9881, 9785, 9849, 9987, 9642, 10063, 10020, 10014, 9867, 9751, 9790, 9868, 9959, 9968, 10048, 9896, 9991, 9]
[9847, 10014, 9908, 9627, 9819, 9828, 9886, 9923, 9856, 9925, 9672, 10045, 10088, 9859, 9960, 9865, 9919, 9904, 9976, 9847, 10]
[9814, 10061, 9939, 10013, 9858, 10027, 9890, 9821, 10091, 10028, 9795, 10089, 9961, 9736, 9972, 9916, 9862, 9884, 9973, 9978, 12]
[9924, 9954, 10007, 9913, 10027, 9968, 9934, 9846, 9880, 9856, 10053, 9923, 9991, 9909, 9912, 9793, 9855, 9977, 9749, 10092, 13]
[9921, 9994, 9826, 9880, 9912, 9937, 10073, 9916, 9985, 10046, 10095, 9960, 10154, 10055, 9798, 10021, 10083, 9910, 10041, 9824, 13]
[10090, 9981, 9933, 9767, 10014, 9855, 9877, 9916, 9904, 9983, 9845, 9898, 9984, 9923, 9880, 9999, 9950, 9874, 9972, 10054, 16]
[9862, 10003, 9871, 9971, 9916, 10062, 9910, 10134, 9986, 9753, 10093, 9976, 10044, 9950, 9841, 9994, 9900, 9917, 9903, 9847, 17]
Number of times every single roll shows up from 0.00 to 100.00:

Code:
236 380 555 346 376 483 362 373 349 500 376 363 368 451 376 352 461 394 357 353 516 371 363 492 375 367 353 474 356 365 370 468 350 392 502 380 331 321 513 361 392 339 499 351 358 482 351 372 343 476 359 377 468 345 351 371 488 376 367 386 454 364 341 467 376 379 355 487 365 423 478 372 361 349 514 377 351 366 479 386 384 498 383 361 378 472 358 379 429 498 352 346 464 349 386 395 478 370 364 475 
340 391 348 501 386 387 368 476 345 399 479 337 380 369 458 364 349 494 346 334 384 479 363 346 360 473 343 388 481 379 370 392 486 369 354 346 462 324 379 467 367 363 344 479 373 334 443 390 410 366 481 348 395 370 475 362 392 463 401 390 347 455 342 335 495 327 390 376 504 383 389 360 510 353 391 488 379 351 355 465 346 379 354 508 347 349 482 379 362 377 513 378 385 457 376 392 367 467 367 363 
357 434 375 366 514 368 352 339 472 390 359 511 399 357 366 460 366 358 355 528 364 361 485 348 372 377 504 393 358 471 356 389 353 469 360 410 382 462 353 350 491 373 367 386 502 356 384 347 470 366 404 472 373 373 360 465 395 385 512 395 368 367 499 376 366 372 462 376 334 474 382 345 351 497 353 355 444 365 382 366 494 339 376 375 452 346 376 492 371 361 385 433 385 368 368 493 370 352 509 343 
361 384 469 346 368 530 343 367 339 467 359 361 347 447 351 352 468 383 358 361 479 382 325 535 383 382 376 486 373 341 357 468 361 341 452 380 346 347 525 375 394 367 460 370 379 506 359 354 356 547 353 346 503 369 362 359 454 366 331 402 498 359 372 466 383 413 349 486 366 345 473 349 395 318 509 335 346 362 481 332 393 458 351 347 348 494 335 359 349 467 386 392 450 363 369 363 497 385 356 507 
371 366 378 444 331 378 337 467 356 362 493 399 388 384 475 344 353 499 384 342 382 471 372 353 338 496 326 376 477 364 375 370 496 370 346 480 370 322 340 501 399 355 378 499 388 345 482 384 312 358 484 379 365 362 509 340 347 474 364 330 324 471 375 346 494 333 384 366 490 343 370 355 494 365 357 467 382 348 380 477 360 358 505 355 395 354 497 361 380 371 479 334 386 487 366 340 370 487 387 327 
389 465 324 393 513 345 353 345 503 331 356 481 392 362 354 464 363 370 363 488 403 338 447 341 374 338 471 386 377 500 363 392 369 461 327 372 392 476 356 386 499 330 345 379 475 350 431 383 496 360 358 506 371 362 364 492 359 367 493 367 353 350 466 384 380 378 480 350 367 487 386 361 354 474 394 405 499 378 343 364 490 322 352 367 457 358 358 481 392 374 365 472 380 388 370 516 357 350 492 341 
345 371 470 370 348 456 417 360 362 505 318 382 389 537 393 353 493 349 366 395 487 385 371 460 364 340 416 485 367 381 337 479 394 364 510 325 354 351 516 398 362 465 365 377 354 477 345 357 370 492 411 356 487 351 358 387 518 342 344 367 469 364 369 483 341 365 344 488 379 355 501 408 368 357 453 365 369 384 451 391 331 503 355 354 331 510 361 353 446 352 363 376 468 349 386 347 475 378 310 492 
371 356 374 495 390 329 347 463 376 391 490 343 335 387 458 347 408 455 341 366 353 509 362 389 395 478 349 337 499 371 375 325 482 354 333 493 375 362 393 468 370 365 363 475 349 381 533 384 369 402 501 402 371 335 493 338 361 481 345 400 365 485 384 408 451 355 330 339 473 362 363 380 486 361 376 497 380 383 401 457 383 302 467 366 339 352 468 412 405 369 456 371 368 466 347 365 402 492 371 353 
375 491 351 352 510 324 387 351 545 382 370 504 392 321 366 499 345 347 346 477 355 375 476 392 405 361 481 347 349 512 373 349 352 484 360 365 398 468 364 384 492 385 355 394 480 367 390 483 362 376 352 484 341 329 388 519 373 350 506 343 386 385 487 376 365 331 519 377 375 507 372 336 361 537 350 350 473 354 356 381 442 356 356 384 495 352 381 500 367 358 362 458 370 370 469 346 356 351 506 371 
311 335 454 384 354 461 379 386 354 449 370 349 386 466 367 356 467 352 351 360 457 351 390 507 375 400 388 468 378 384 337 468 349 371 503 363 336 360 475 383 365 496 340 366 359 504 401 341 375 485 377 367 469 327 366 328 495 364 372 358 476 355 361 471 386 385 355 475 385 349 469 361 375 341 475 383 373 374 482 382 384 474 347 383 342 465 355 388 465 357 350 346 498 365 364 375 457 347 405 490 
391 334 364 501 353 397 359 484 420 387 499 370 369 348 473 342 323 488 359 405 375 504 339 361 368 470 354 347 472 358 335 352 432 364 345 505 384 402 356 502 363 362 318 448 356 364 487 382 433 360 447 378 364 490 369 364 388 463 348 383 387 456 354 375 478 357 348 363 478 363 346 381 499 371 360 460 329 362 353 526 362 418 470 369 355 342 481 351 337 385 463 390 372 499 369 378 363 456 358 377 
469 356 392 361 513 389 369 337 513 318 374 494 369 371 382 486 415 379 374 498 387 367 474 351 370 354 494 366 331 482 351 386 363 503 357 380 350 514 342 378 458 341 358 363 525 363 389 440 388 360 360 475 364 355 384 485 346 380 510 390 380 366 526 342 364 348 512 357 358 477 378 369 370 495 371 376 436 389 336 343 486 359 355 375 491 349 389 483 318 334 353 507 392 378 484 346 367 371 466 422 
327 363 502 364 363 523 377 390 342 484 348 401 357 500 355 353 485 388 368 353 494 371 336 472 356 340 374 492 373 370 337 453 359 344 467 381 374 374 460 365 366 482 362 347 337 503 396 374 391 473 390 397 444 383 339 365 494 359 384 462 327 331 338 491 359 371 388 483 358 355 529 371 357 380 539 392 336 385 505 317 358 497 368 358 371 484 373 388 480 329 360 390 475 372 331 344 500 396 348 442 
386 341 323 498 361 361 479 342 358 372 487 340 383 370 490 353 353 480 365 371 376 497 356 358 353 479 362 361 487 377 360 381 495 339 330 481 381 375 367 457 365 389 395 495 365 370 471 355 373 368 480 354 361 507 350 397 349 463 373 380 381 480 356 337 508 383 367 341 487 370 373 351 454 363 379 497 375 338 367 496 373 340 489 332 394 401 508 372 361 368 502 368 373 511 344 345 365 457 388 346 
469 351 338 362 481 384 356 355 467 367 378 563 362 369 353 499 370 358 382 487 365 385 452 380 379 370 492 376 347 441 422 356 397 488 377 388 342 486 340 353 490 338 355 357 437 368 371 515 403 364 352 491 358 357 372 502 366 330 460 352 368 379 471 343 340 442 337 351 353 523 358 365 330 524 347 392 485 380 381 333 501 368 346 352 482 341 350 481 364 339 350 547 360 378 517 363 374 331 454 372 
342 332 506 366 353 459 346 355 359 493 354 374 510 400 352 370 498 341 369 367 485 401 361 497 353 374 391 437 359 369 354 466 346 358 435 356 369 349 488 371 389 463 395 373 375 483 344 361 359 497 375 355 476 350 349 378 471 364 348 498 326 325 359 450 359 372 355 486 327 354 488 383 332 344 447 328 349 375 503 377 362 524 339 355 349 519 336 375 497 344 376 356 450 344 368 338 484 359 392 488 
342 381 373 523 390 335 508 364 333 387 434 358 360 371 476 343 342 485 370 367 335 499 363 363 395 472 354 380 494 387 351 381 504 349 373 478 377 344 381 474 339 384 355 479 339 370 467 376 370 337 474 335 367 515 362 356 386 468 370 350 376 463 356 355 471 348 367 381 501 377 367 492 388 342 384 473 356 390 342 487 369 385 444 363 385 371 522 363 325 368 471 379 371 484 359 342 349 459 391 374 
458 365 345 367 477 323 377 350 492 377 399 490 391 416 345 494 356 340 469 374 355 363 489 340 368 374 460 384 332 506 368 357 341 467 403 392 363 510 387 352 471 330 352 332 453 342 375 492 381 381 374 476 359 355 328 521 385 345 492 321 374 373 472 368 351 414 365 371 362 465 365 360 359 490 383 390 477 342 323 343 488 383 362 327 457 349 363 451 384 381 386 466 398 366 518 358 332 368 475 353 
380 358 485 351 384 481 356 366 371 451 368 378 502 330 320 373 474 370 343 379 459 366 372 481 339 366 388 489 373 341 358 473 360 386 475 367 367 357 453 358 342 488 348 393 371 525 358 363 384 465 356 368 532 371 364 382 451 367 328 491 358 369 378 498 346 318 394 467 418 377 433 365 344 328 487 378 370 475 336 377 370 507 373 388 381 499 388 356 452 362 383 411 491 377 347 369 504 350 324 490 
373 359 343 447 332 395 475 370 368 359 506 423 351 352 500 372 373 469 329 317 357 479 368 356 464 347 349 365 479 361 338 368 505 330 344 489 345 333 335 487 384 401 362 534 339 349 508 378 349 381 513 350 371 442 362 393 371 484 360 376 406 478 388 360 477 359 338 365 462 389 345 447 364 365 340 522 367 382 328 483 364 363 502 375 386 366 491 381 358 371 476 361 372 524 353 379 353 483 380 371 
455 402 365 366 464 338 362 377 488 360 392 514 362 378 356 489 331 387 502 374 368 348 528 340 379 374 491 332 332 470 373 350 333 486 350 330 359 520 375 359 490 350 351 358 478 353 355 520 366 355 368 445 393 360 352 521 395 376 509 363 378 312 442 359 349 476 383 354 378 478 378 389 348 438 333 385 470 360 381 351 524 375 393 479 391 347 366 519 389 369 349 509 384 357 508 365 371 374 546 358 
352 362 526 370 324 481 388 394 378 527 356 369 476 360 347 359 470 340 355 372 459 373 351 446 389 389 344 475 353 397 487 350 360 374 509 345 359 363 485 354 354 458 354 351 332 483 335 346 356 520 338 370 504 407 365 356 482 353 328 471 403 335 367 470 369 380 388 480 388 339 470 347 342 348 454 363 351 497 345 349 370 470 367 362 372 481 360 339 472 382 356 327 480 357 393 382 493 362 359 456 
354 364 371 490 367 348 460 386 345 354 453 343 357 345 483 390 381 507 339 367 365 494 373 361 483 354 365 349 463 363 377 354 459 366 347 496 340 346 364 510 402 365 356 458 392 363 503 367 371 398 444 353 387 519 379 381 329 489 358 370 373 481 333 371 515 388 360 382 460 351 375 458 362 370 361 480 335 364 403 473 371 365 487 373 357 372 490 347 340 518 373 397 361 450 356 350 360 494 355 337 
482 400 381 334 476 380 338 365 507 352 346 503 378 390 367 460 377 342 480 360 376 368 484 395 375 364 515 326 370 452 388 368 384 488 378 365 522 336 385 383 485 334 366 371 478 384 359 510 346 366 363 515 383 335 364 463 366 388 510 401 345 354 482 372 360 486 363 385 367 502 368 389 372 493 331 373 527 359 369 400 480 314 360 474 355 402 384 507 359 352 321 522 399 386 522 350 369 357 455 357 
364 327 508 359 373 476 366 357 371 472 345 410 501 366 357 334 441 365 362 376 511 355 368 497 370 381 377 475 380 376 494 387 367 367 487 355 383 364 480 382 359 451 373 366 350 479 334 384 491 373 344 391 505 355 372 359 452 352 348 494 370 381 331 489 352 372 344 461 353 374 492 339 388 380 486 328 356 522 362 378 371 509 351 360 356 471 394 363 503 376 362 367 526 375 374 469 384 356 391 474 
363 365 379 500 390 383 521 327 352 353 480 382 355 377 504 379 332 475 386 354 374 461 357 421 472 365 386 355 460 363 333 352 494 343 314 453 350 356 347 451 344 335 457 333 398 397 497 375 349 361 487 364 345 437 352 355 354 515 340 354 353 480 321 365 510 352 380 350 516 363 351 501 356 360 385 503 336 425 341 488 355 351 484 375 360 387 483 376 360 474 364 370 369 529 356 349 350 512 338 379 
492 328 358 390 519 383 377 381 480 355 382 470 339 343 402 494 358 368 478 346 336 369 517 345 341 377 474 386 337 502 346 367 382 478 358 358 453 378 344 340 490 368 347 383 459 386 358 448 351 393 383 477 379 360 368 479 390 357 483 354 365 389 490 388 343 476 354 384 380 487 404 358 348 484 376 371 456 390 355 335 475 374 394 496 369 360 352 441 323 352 371 484 364 336 457 346 347 332 487 353 
361 493 346 347 372 482 338 352 349 501 365 359 481 383 370 379 510 339 330 332 477 385 375 448 348 377 363 519 339 419 511 364 358 343 479 374 356 388 460 375 395 497 363 361 324 461 398 338 511 372 347 348 490 365 377 369 485 399 375 467 366 390 355 461 372 335 340 496 373 362 508 379 334 374 490 388 385 501 347 365 330 475 351 375 336 509 394 374 468 358 390 365 498 401 378 509 390 352 320 457 
379 385 340 496 373 377 450 387 387 368 475 394 377 339 509 346 383 482 372 387 343 502 377 374 465 372 361 350 522 369 348 377 494 361 388 496 366 371 341 469 372 352 483 377 354 348 486 359 401 383 472 366 358 460 374 317 401 473 352 379 497 377 369 366 516 343 388 343 482 374 363 463 327 363 369 507 362 383 340 465 333 384 477 371 340 345 490 393 340 464 374 376 344 473 363 378 350 433 367 382 
491 360 367 343 489 363 343 476 392 353 372 435 378 344 338 528 364 360 470 374 335 346 517 365 363 354 484 312 357 490 345 341 388 464 388 341 499 333 345 355 500 351 351 400 504 359 366 485 359 409 364 466 334 388 448 347 381 380 469 369 382 339 471 377 375 497 334 374 340 501 364 391 330 481 363 357 486 358 354 343 469 385 350 461 344 348 335 469 360 374 353 476 324 399 493 356 356 373 488 373 
369 502 384 346 347 500 364 347 361 473 359 397 502 365 356 356 521 394 371 388 504 346 387 525 355 381 364 489 369 345 469 346 370 368 493 372 396 382 473 367 346 482 358 379 354 474 379 361 501 365 362 378 527 372 367 383 476 391 354 482 364 383 378 463 377 369 476 376 362 374 447 346 395 400 473 350 330 513 360 361 346 491 355 354 370 506 400 365 464 374 380 408 464 347 358 493 385 388 338 494 
373 365 376 516 420 388 457 364 402 351 457 378 376 463 357 383 371 487 374 365 382 443 341 346 528 365 381 399 517 369 365 337 512 355 354 481 376 370 348 505 391 365 502 371 359 370 530 362 356 386 467 367 391 500 357 359 338 515 424 363 499 385 380 365 465 406 318 326 505 392 370 492 360 383 383 508 384 345 407 494 364 344 499 409 404 363 501 364 407 443 345 353 360 478 383 367 378 469 370 378 
476 388 363 332 473 365 371 522 384 342 363 464 329 389 355 489 366 332 491 366 394 377 488 363 371 367 451 371 349 487 393 375 408 503 376 383 482 347 355 335 495 324 380 365 485 344 363 493 368 374 347 480 343 359 470 340 369 365 501 340 321 356 498 373 358 530 365 330 352 517 381 358 456 375 354 366 550 367 362 364 476 358 397 485 387 385 383 493 383 352 370 524 375 360 510 373 380 373 494 358 
374 498 364 354 331 464 378 361 343 503 374 340 468 373 364 362 518 335 397 477 342 356 376 502 367 354 360 484 369 381 507 348 383 374 506 351 385 364 465 388 386 454 378 329 330 500 344 329 498 364 358 373 482 378 360 368 500 332 353 494 335 356 371 552 391 361 485 343 360 337 502 381 364 372 448 408 366 493 372 347 346 471 372 316 348 473 383 320 465 372 364 361 474 352 353 464 341 370 374 509 
357 351 335 468 351 357 502 357 355 355 426 369 392 466 362 369 388 441 315 379 351 517 352 364 490 332 366 356 473 362 371 362 473 412 371 447 362 352 389 483 348 388 509 376 332 373 464 361 367 323 540 360 390 472 378 358 382 493 381 339 478 354 381 366 487 363 370 370 512 363 383 505 361 387 351 436 349 360 495 380 375 371 494 337 359 379 461 332 337 478 349 363 381 471 364 346 337 506 360 384 
490 354 348 357 498 348 361 504 362 357 390 502 354 359 354 505 332 343 474 365 340 377 492 353 352 483 349 383 378 468 353 348 383 477 369 388 510 341 376 386 505 354 390 382 498 391 390 461 366 356 363 486 386 391 498 373 322 392 456 368 344 357 499 361 360 468 391 351 401 462 349 371 487 360 356 372 494 386 354 371 476 389 373 507 370 364 393 492 379 395 387 514 360 381 464 357 345 386 523 376 
373 478 398 393 370 513 337 341 387 510 365 357 508 352 355 374 484 426 381 464 354 370 335 509 382 363 366 491 379 394 518 369 365 339 490 357 340 384 499 361 344 470 376 371 354 441 347 370 446 379 343 359 483 387 388 375 439 360 341 462 384 356 384 504 351 355 499 355 356 349 508 396 369 356 467 383 348 447 357 359 345 522 347 355 517 380 380 387 471 345 351 373 473 382 322 466 339 347 334 492 
391 372 385 477 366 348 503 321 379 385 503 379 354 487 323 386 376 508 370 358 391 481 386 360 473 354 361 356 500 382 417 477 345 345 346 472 390 355 353 508 346 375 486 364 344 370 496 380 384 347 488 355 351 468 372 362 338 494 359 358 520 367 365 389 519 379 373 367 454 371 348 455 419 355 325 466 330 391 446 348 386 366 511 371 386 379 449 388 373 449 357 345 369 494 382 348 403 455 336 385 
460 378 374 379 484 343 374 471 367 366 353 473 337 364 401 467 345 349 485 390 399 358 478 372 391 487 360 371 350 504 322 381 370 501 371 310 495 345 346 322 506 364 347 398 467 373 339 531 351 362 331 479 345 362 476 377 380 397 482 367 352 363 483 366 361 472 384 381 325 495 363 356 417 347 359 343 458 360 361 355 497 361 365 470 340 382 379 511 354 348 477 343 366 384 518 375 354 349 498 368 
368 522 396 348 371 474 363 380 344 497 350 373 491 364 342 340 474 332 348 478 379 358 355 477 391 389 350 503 364 350 485 358 398 381 462 378 366 504 395 363 372 490 358 375 366 480 356 361 459 379 358 358 525 360 342 355 507 343 336 472 361 364 370 503 368 357 438 380 334 372 430 335 352 347 456 405 338 484 344 344 388 465 363 358 491 357 364 350 485 380 354 380 494 376 391 479 364 375 366 453 
386 376 347 508 351 354 486 360 359 359 460 387 363 453 425 353 339 467 330 388 376 502 364 368 483 360 357 344 472 378 333 503 379 344 377 479 389 362 346 495 374 391 490 329 412 359 450 381 334 365 496 331 360 502 376 367 356 488 349 384 491 364 393 341 469 374 370 320 504 340 375 488 372 379 362 530 349 412 484 359 387 353 481 370 366 347 478 338 390 514 365 323 377 498 366 383 482 362 400 341 
471 355 350 388 504 364 371 484 375 381 355 465 389 336 360 477 348 387 496 389 354 361 498 343 367 485 332 374 354 488 375 338 383 467 374 370 460 375 359 380 470 378 382 518 386 360 366 463 381 341 373 477 364 369 470 385 370 369 519 383 355 351 476 322 346 523 397 365 373 490 353 345 505 363 381 364 471 368 379 348 467 349 359 489 401 377 374 502 350 321 506 359 368 360 488 365 370 380 492 356 
374 522 350 377 353 508 362 341 384 480 383 368 452 374 417 383 470 344 373 495 355 344 376 488 377 351 370 474 346 338 470 352 352 364 485 359 365 485 343 376 372 458 353 373 373 533 352 369 468 368 339 387 461 341 358 378 477 361 357 493 369 357 357 464 362 380 488 356 356 357 453 395 372 358 476 367 359 508 372 387 396 484 374 368 508 351 377 365 471 376 366 352 514 357 359 493 366 384 357 496 
346 367 499 369 378 335 555 366 378 363 486 360 344 443 356 365 359 442 381 360 363 512 344 342 508 389 404 371 457 335 338 501 349 377 369 494 365 371 349 472 402 405 520 346 363 354 474 377 353 494 319 361 389 415 355 356 363 509 378 344 482 365 346 370 475 398 349 376 470 384 357 470 388 373 356 505 309 389 463 351 398 389 501 371 399 358 470 373 384 485 347 372 402 467 385 330 528 371 362 349 
470 376 356 323 502 362 367 453 341 339 389 491 373 368 366 480 342 409 495 344 339 352 510 374 332 510 369 318 358 461 357 370 354 485 365 363 498 380 397 379 497 344 360 500 355 381 369 484 383 363 379 487 352 393 482 355 366 390 456 382 356 358 481 355 415 548 359 359 348 468 356 353 465 382 361 350 517 360 342 365 488 328 372 480 416 388 379 483 361 376 466 361 364 382 515 403 393 355 471 365 
347 488 378 369 393 486 385 392 447 368 366 369 470 354 390 373 477 398 362 487 371 342 401 453 331 367 377 469 376 359 496 362 397 336 499 365 364 466 349 360 360 500 370 338 390 500 329 372 493 362 399 399 441 400 395 476 394 354 364 481 344 379 347 464 341 349 504 349 360 360 454 359 357 369 501 372 372 494 353 394 377 483 362 339 469 379 371 357 464 356 354 366 472 362 390 498 356 386 387 491 
369 364 442 361 333 328 486 334 395 357 506 355 333 479 372 380 378 466 342 388 403 491 364 382 480 337 335 380 491 339 334 524 362 382 353 505 335 367 335 501 380 383 475 342 382 347 470 363 334 465 377 381 336 498 377 383 372 496 370 335 426 365 364 373 500 376 360 371 512 385 362 541 361 359 343 490 336 344 463 349 355 336 477 387 335 376 478 355 390 458 358 355 412 452 385 376 472 397 361 381 
513 380 375 382 480 358 342 480 377 370 337 482 362 346 503 340 388 351 444 398 389 377 474 376 358 482 336 366 348 459 353 379 365 488 369 385 476 393 366 337 469 373 402 497 367 345 360 518 373 382 356 497 351 346 487 394 359 364 469 373 348 504 374 356 385 502 373 374 405 469 329 392 460 374 340 338 486 367 361 361 471 363 370 493 359 377 351 480 341 405 477 363 367 347 441 369 379 354 483 344 
345 520 356 369 354 498 376 340 478 358 375 371 461 354 331 370 510 388 359 478 392 361 350 454 339 372 335 456 371 360 502 377 364 373 480 391 329 456 364 335 396 541 332 346 368 501 357 382 458 405 349 346 503 351 347 490 389 376 358 483 390 359 379 493 342 348 491 388 390 348 523 388 391 351 473 370 330 478 354 385 394 501 361 392 492 368 392 337 500 340 366 349 501 391 373 465 378 366 352 469 
353 377 508 398 351 355 500 369 405 398 495 336 365 471 362 366 424 499 372 350 503 392 348 351 469 372 365 381 496 386 381 518 369 349 362 468 391 336 376 503 371 380 486 360 367 387 442 348 359 467 375 386 357 488 357 394 364 507 368 349 459 430 355 379 480 388 354 492 342 351 361 514 376 349 359 452 376 384 467 355 366 390 499 354 354 354 478 360 319 478 359 389 363 471 391 350 455 362 353 372 
488 379 355 381 483 338 377 484 377 344 392 458 340 346 481 335 356 387 485 407 356 381 478 370 373 490 355 376 342 481 358 372 344 511 399 356 467 336 370 387 515 358 351 440 353 331 367 472 374 364 354 519 350 373 469 361 350 336 471 355 346 466 361 352 365 472 351 373 363 457 377 377 467 339 374 389 483 353 313 366 488 378 369 452 373 382 354 465 379 348 471 353 352 340 492 337 359 338 520 354 
384 486 342 347 347 479 381 341 469 340 366 369 474 390 394 362 465 350 387 528 376 379 394 446 339 341 488 354 354 389 458 366 346 361 439 367 371 464 392 346 369 491 373 348 362 487 399 363 462 335 373 369 487 412 389 479 338 329 384 492 345 341 343 473 363 345 465 335 372 385 485 350 373 500 376 346 355 509 384 352 373 493 343 375 466 368 380 375 559 353 379 354 502 371 401 440 360 361 371 507 
372 390 461 365 342 382 504 384 370 371 488 353 368 467 357 382 366 486 376 375 501 362 373 360 493 364 333 341 500 349 352 490 326 415 347 488 371 369 365 522 392 362 478 355 378 358 478 391 372 490 336 353 351 507 375 385 321 459 381 335 508 387 340 346 479 348 361 503 356 343 367 486 399 377 360 494 365 336 477 341 323 349 487 328 323 329 447 357 371 478 351 363 396 520 384 350 493 389 360 366 
486 405 361 365 476 374 402 487 360 371 362 481 359 369 512 376 337 374 470 401 369 346 534 359 361 471 359 381 388 497 371 391 509 332 357 390 515 370 367 351 468 390 343 474 347 386 365 490 343 340 372 504 389 389 502 356 342 398 470 378 374 485 384 330 376 472 391 331 398 459 362 367 474 328 358 392 449 376 344 456 377 373 338 522 363 403 332 465 354 344 489 324 314 367 474 392 361 381 520 402 
360 493 383 373 400 495 348 354 488 383 370 376 487 366 348 354 449 391 360 532 391 362 338 467 385 365 512 383 373 369 492 372 347 353 468 341 397 495 347 357 383 485 412 350 369 496 338 354 460 375 371 377 488 377 376 471 372 360 360 529 369 391 350 488 398 353 498 372 377 374 480 391 354 498 367 398 389 469 358 357 389 475 345 344 482 349 369 369 493 355 380 399 512 378 358 479 365 392 384 482 
359 381 500 366 382 368 441 354 370 342 507 355 361 444 345 412 415 486 356 347 478 366 369 339 461 326 340 364 501 364 371 503 320 372 371 482 378 343 485 343 365 367 501 361 386 355 459 366 354 491 384 328 349 521 384 350 347 503 359 342 479 337 376 398 492 378 357 472 330 337 343 469 381 360 357 498 382 336 502 382 341 373 528 343 356 466 369 355 364 466 401 362 386 492 339 372 493 377 317 371 
491 351 391 350 507 333 362 494 377 336 358 474 348 348 486 359 375 336 497 376 359 322 522 388 351 487 383 371 363 521 378 360 433 372 372 414 484 375 364 372 514 377 394 492 350 375 364 502 377 356 352 496 365 372 455 358 342 371 469 335 374 490 365 384 374 483 393 354 387 500 349 335 502 366 348 379 483 360 378 467 381 387 388 476 360 363 376 471 350 388 510 346 355 321 481 395 371 347 491 367 
365 481 337 341 390 485 399 365 494 347 368 403 475 393 356 351 478 365 367 565 370 382 344 453 380 353 480 371 391 362 480 386 401 346 522 377 373 511 393 373 365 516 332 358 514 379 342 352 500 355 349 396 479 341 369 490 375 361 346 485 344 377 352 504 376 369 488 381 370 359 482 369 366 480 373 346 372 512 379 322 378 469 360 390 467 356 359 348 498 354 354 466 328 340 360 486 354 362 338 478 
334 351 509 383 378 384 474 365 364 351 509 378 353 467 359 365 341 495 371 362 486 376 357 373 487 333 382 326 492 325 373 489 365 352 365 480 365 362 465 358 349 375 497 361 355 387 461 372 383 525 337 365 358 437 372 353 330 527 388 346 488 348 370 344 530 392 353 524 365 356 383 480 379 362 360 474 341 364 496 368 415 336 497 344 366 454 383 377 348 470 346 344 365 472 352 391 510 351 394 367 
465 348 366 361 500 360 368 420 337 371 377 490 373 388 476 347 366 371 500 362 381 359 445 358 342 482 369 332 364 497 356 356 475 378 318 351 495 371 393 371 512 374 335 470 390 358 374 492 332 350 435 361 367 346 480 380 373 379 463 370 344 498 363 408 381 489 385 383 384 451 376 358 489 378 354 361 468 349 346 488 357 336 395 455 344 350 354 468 373 377 466 324 359 375 462 372 383 493 366 376 
382 511 347 397 337 537 358 354 483 368 385 343 488 393 374 355 511 383 367 447 366 343 365 470 359 370 515 369 375 330 501 385 354 380 451 348 359 500 357 338 389 472 374 349 507 359 336 347 480 342 419 388 499 352 362 500 353 364 342 473 346 368 373 470 378 364 493 409 394 374 467 379 361 498 363 379 354 467 375 384 357 482 348 350 469 373 360 339 495 386 357 457 379 363 359 478 361 370 365 473 
343 397 516 378 393 392 489 387 375 351 504 397 365 449 342 387 322 443 352 374 508 372 414 358 491 343 345 376 490 370 364 486 354 377 355 492 325 379 509 340 405 370 445 350 375 375 519 381 397 501 361 365 348 485 362 374 481 335 358 370 456 342 367 371 474 352 370 481 357 391 316 480 361 353 376 502 335 370 524 364 364 353 502 372 394 488 376 357 363 477 358 351 362 461 395 380 482 375 378 358 
486 344 373 480 335 350 402 507 368 376 382 471 368 389 462 370 363 388 518 344 386 345 502 378 355 512 396 361 405 504 380 378 460 362 391 361 494 333 396 363 499 340 358 506 408 358 389 479 382 339 481 378 355 366 444 374 366 340 465 371 355 490 366 382 358 473 348 360 347 481 358 367 476 341 360 359 493 348 362 462 347 378 372 467 355 404 362 508 372 362 487 363 376 329 525 335 322 477 367 384 
323 463 364 372 338 491 377 388 482 348 376 352 499 345 385 367 485 360 358 452 349 331 319 502 380 356 492 349 344 396 489 337 353 313 477 361 368 475 385 364 370 504 380 354 486 360 367 367 429 354 383 328 507 370 359 490 373 364 377 509 377 353 534 381 374 376 474 382 354 378 468 381 335 473 355 382 365 470 356 361 425 499 313 349 511 386 350 347 494 362 379 471 359 358 369 437 384 357 389 515 
377 352 465 357 347 370 440 379 399 506 364 380 349 463 382 358 343 466 391 364 472 368 340 379 477 394 381 374 467 373 374 476 367 401 379 473 389 330 511 342 369 341 453 354 354 355 500 383 356 541 359 368 336 473 360 386 493 380 342 382 512 382 373 382 516 358 360 491 375 360 383 473 373 377 386 490 373 365 459 377 338 377 459 362 400 489 350 335 370 477 350 356 384 491 397 364 492 349 378 326 
507 376 369 490 372 337 378 459 374 400 359 462 352 372 484 360 353 378 524 400 338 351 472 344 356 473 364 342 390 487 367 371 468 332 375 363 478 360 382 347 471 360 348 500 369 339 360 498 369 366 475 360 378 376 491 365 398 392 483 376 372 457 355 364 371 504 347 380 495 343 349 344 511 384 351 361 520 379 371 504 357 361 379 492 341 351 378 449 319 362 491 364 329 335 495 373 346 506 371 369 
344 478 335 368 338 480 363 367 496 361 373 345 503 347 376 463 388 367 391 424 368 368 352 488 361 376 454 331 407 337 492 350 343 357 505 363 389 486 360 349 369 476 374 385 447 369 364 356 456 367 385 384 449 345 379 515 351 377 379 504 341 372 504 336 372 345 487 378 390 339 503 363 360 493 361 365 392 499 335 351 364 501 347 381 474 346 354 366 460 361 377 491 326 360 392 475 356 358 353 481 
376 360 456 382 319 344 454 370 386 494 373 373 332 527 386 354 354 500 375 328 497 385 377 359 458 368 360 388 512 372 373 491 354 369 348 477 359 366 474 373 371 356 455 371 366 357 492 331 375 477 348 364 345 487 383 345 486 364 333 378 474 398 385 335 458 361 360 559 367 359 338 487 356 379 491 359 384 369 462 407 334 352 500 364 330 475 369 348 345 487 307 391 354 458 344 350 470 368 397 335 
508 356 348 478 364 363 374 504 346 378 353 455 363 341 483 373 329 375 480 355 354 517 328 331 352 482 356 382 375 475 391 379 453 373 323 348 461 365 338 363 497 398 365 465 372 368 382 513 389 380 474 400 350 382 480 370 345 345 493 369 383 464 328 342 355 494 347 391 513 391 309 361 516 344 372 350 482 384 371 499 349 361 340 510 400 392 362 529 343 352 474 377 359 365 469 344 371 488 385 384 
386 474 336 357 375 498 345 381 467 366 359 351 485 372 385 446 365 347 388 485 401 366 325 474 382 361 496 356 360 367 522 350 358 467 389 351 358 470 327 384 338 496 389 374 486 357 347 346 488 371 349 372 469 394 383 481 355 354 360 493 305 358 475 340 375 374 462 323 353 357 487 374 384 489 362 364 371 463 345 348 513 368 365 343 499 356 347 370 519 344 377 464 382 370 328 495 400 352 357 467 
365 345 501 335 348 391 477 373 318 488 364 359 345 474 324 368 349 459 333 326 479 370 361 361 483 364 332 462 363 396 369 494 327 350 376 468 359 364 444 374 377 339 531 367 389 358 505 360 380 461 355 353 365 470 366 357 508 353 396 316 473 379 364 378 533 379 362 487 351 363 379 561 362 330 458 329 356 374 449 349 404 369 458 328 372 495 358 352 358 493 372 386 370 470 375 352 518 353 369 344 
479 376 315 475 349 381 348 458 363 367 370 449 350 364 479 332 348 352 486 341 396 507 351 371 320 479 349 331 385 491 360 345 458 390 336 339 487 353 348 333 462 357 348 494 355 356 383 448 345 388 467 362 333 357 489 369 379 348 507 378 362 507 384 333 362 491 355 347 489 353 369 337 477 330 339 381 489 349 338 513 346 353 376 487 405 393 481 364 364 339 472 375 364 373 487 362 366 466 363 341 
355 504 405 360 374 469 358 374 499 369 333 369 491 349 359 485 375 389 382 477 359 380 367 479 343 364 495 358 377 362 450 388 404 505 369 368 370 464 396 377 357 488 363 356 466 357 379 336 495 383 321 359 463 354 398 467 364 344 353 515 381 360 467 368 371 328 482 355 363 350 477 369 346 466 354 348 369 489 348 347 488 330 357 379 501 348 368 351 507 379 352 473 386 362 376 479 354 357 403 521 
393 350 508 374 360 375 471 356 378 484 343 354 378 481 396 384 345 478 351 359 455 368 349 334 525 357 322 490 366 358 364 472 354 358 390 478 343 360 519 369 303 398 492 378 369 363 526 379 347 473 354 333 359 500 385 338 493 357 327 366 481 360 395 349 446 356 348 492 389 361 359 467 352 362 483 333 324 358 481 351 332 361 464 344 376 482 332 327 323 525 382 424 461 375 384 359 508 356 323 364 
469 350 336 531 351 373 384 496 364 379 382 497 375 344 486 349 381 426 490 366 364 470 369 358 366 480 350 341 399 533 375 376 478 342 354 349 518 367 332 471 356 349 372 477 354 353 363 471 399 352 461 373 349 382 456 365 372 341 493 376 371 482 364 352 389 459 340 385 494 382 385 396 467 391 379 333 482 374 388 494 379 368 374 521 367 387 488 374 344 379 504 346 356 361 511 370 383 500 375 359 
382 520 366 330 408 481 399 363 514 375 373 376 462 361 345 496 397 321 376 489 373 379 387 505 368 367 497 361 374 370 487 345 362 507 352 345 364 468 366 355 376 488 347 351 482 376 334 387 465 362 361 525 335 389 378 504 380 370 364 483 365 391 487 381 352 346 494 348 380 361 507 373 383 515 364 375 357 540 377 347 475 367 319 379 485 358 343 392 448 385 347 510 345 355 392 456 357 413 486 354 
350 364 450 366 349 387 489 375 356 485 348 400 383 491 365 368 344 525 375 331 488 352 370 372 478 354 344 473 387 380 384 509 379 374 347 523 380 371 482 339 340 354 502 359 348 468 375 362 381 485 363 386 387 507 363 347 468 365 341 379 437 383 396 392 492 373 368 479 366 380 379 484 368 349 468 346 350 347 508 378 382 373 477 390 357 492 380 360 393 473 400 383 507 334 370 381 502 336 360 372 
480 324 361 485 340 346 330 515 402 347 324 511 395 379 512 380 349 393 495 368 366 480 344 385 360 520 347 365 358 496 405 367 491 358 353 327 483 343 324 455 345 364 340 478 364 385 362 507 371 349 488 380 378 395 495 353 322 461 363 358 355 467 349 355 385 481 327 344 496 345 347 362 470 359 386 328 491 336 336 468 371 394 377 464 357 391 476 378 367 336 458 377 381 348 495 345 358 525 377 375 
391 494 358 374 485 384 348 354 525 354 364 350 508 359 389 443 365 344 357 469 387 383 355 474 368 356 470 355 351 341 493 372 372 479 396 359 367 490 371 338 367 487 361 352 475 341 370 358 481 390 355 437 350 367 334 479 370 379 382 508 354 360 467 361 421 367 520 362 359 367 502 340 387 483 352 340 363 499 340 380 463 379 328 351 470 352 382 373 456 347 331 473 351 339 341 501 371 360 470 363 
360 366 490 356 343 366 482 386 389 494 363 369 385 502 313 372 395 508 369 356 428 385 344 357 514 368 380 473 352 347 362 470 353 390 374 476 366 363 484 388 364 358 520 340 365 480 363 383 343 509 352 342 323 472 347 391 494 341 363 336 483 378 354 353 458 332 392 459 354 367 343 436 392 383 494 372 367 362 497 380 364 375 517 355 357 489 340 361 359 471 352 387 480 347 369 384 449 367 345 390 
478 354 348 491 347 355 344 479 374 360 490 371 347 349 499 371 359 355 496 385 364 501 351 357 343 466 365 376 390 445 386 375 480 328 386 385 488 376 344 489 345 379 385 471 345 329 370 466 351 354 475 380 363 341 447 372 371 521 375 340 367 484 338 376 340 420 342 358 474 354 363 363 453 369 341 391 482 352 361 471 350 331 362 455 341 351 518 357 362 386 445 350 358 353 494 345 374 536 391 370 
339 498 313 342 440 364 385 383 493 399 391 330 482 376 357 493 343 356 322 508 355 354 332 501 364 396 549 351 366 366 487 328 385 501 373 372 337 500 335 336 368 504 356 381 481 373 351 358 467 391 379 457 344 371 323 482 352 367 350 456 339 388 471 360 400 345 447 359 323 439 358 358 349 412 433 375 361 513 373 382 473 349 383 364 528 407 345 371 495 349 366 518 315 364 397 485 372 383 501 371 
363 360 458 363 379 365 505 323 378 508 352 352 373 521 355 325 482 357 376 377 457 371 351 380 518 348 392 473 364 386 398 465 393 370 349 493 352 369 483 391 350 364 474 342 378 495 348 370 386 493 370 340 345 490 376 367 505 358 334 378 463 375 319 511 367 368 405 483 383 377 364 512 361 375 526 355 368 344 494 353 368 367 502 380 382 483 350 366 355 484 343 380 485 376 365 365 499 323 381 374 
502 352 317 461 368 366 367 495 330 385 482 370 377 381 494 356 378 368 461 352 373 497 374 388 379 483 358 356 378 485 425 345 477 320 388 380 483 332 352 510 359 397 415 513 335 360 364 520 366 367 483 388 388 358 478 364 331 453 365 349 401 516 354 348 346 453 386 337 490 349 384 401 476 385 385 511 353 344 347 481 353 358 361 473 380 350 465 367 371 378 502 371 380 341 473 399 364 494 355 358 
351 496 393 361 465 398 393 348 481 368 349 341 462 417 358 430 372 359 367 489 376 385 485 379 377 362 458 370 409 369 461 356 379 472 373 391 358 508 400 374 409 494 332 363 455 355 394 388 456 344 369 504 380 380 361 474 342 398 370 444 358 391 485 355 377 344 501 363 368 445 337 358 382 472 345 343 388 458 348 379 509 331 371 365 494 381 366 365 462 364 355 461 357 329 357 477 361 391 474 361 
360 363 447 392 414 354 478 357 350 508 355 345 367 480 368 332 465 386 404 382 434 344 362 361 518 397 397 495 378 353 369 469 343 341 369 508 395 381 475 358 384 370 490 378 374 504 379 367 374 481 342 345 362 512 358 404 481 393 360 340 488 362 351 519 363 379 387 456 353 371 361 451 346 355 502 356 353 374 460 368 364 442 354 372 358 506 370 349 327 496 369 365 529 358 342 349 470 336 366 374 
503 375 375 540 345 350 352 477 364 342 485 352 351 399 488 364 378 369 499 363 332 517 356 359 350 475 379 361 536 338 392 340 464 371 336 352 481 355 371 501 364 365 361 506 376 347 364 479 362 344 515 377 400 348 492 388 347 489 376 356 389 509 367 388 390 460 349 392 438 384 343 331 448 358 358 521 400 373 370 532 338 378 348 503 369 382 478 359 356 353 489 345 320 364 463 337 316 490 353 374 
366 505 395 349 526 350 364 372 480 373 359 349 517 343 375 507 353 402 359 492 358 340 498 354 365 359 486 342 357 343 497 351 375 477 329 394 344 506 369 347 366 505 397 383 500 372 375 388 501 382 371 478 365 386 375 495 344 344 365 503 412 350 464 352 375 384 476 369 361 470 375 340 379 477 356 354 383 497 333 370 500 362 348 351 490 377 387 352 491 341 345 483 403 342 385 511 369 353 485 352 
366 401 529 376 355 369 465 386 361 472 351 341 353 489 371 321 456 355 371 340 458 366 346 372 470 350 354 495 388 364 354 498 376 363 492 364 372 338 510 371 392 328 485 358 342 499 393 354 369 521 356 388 385 460 335 368 496 372 378 334 470 360 389 503 372 321 374 467 366 397 351 489 354 377 457 359 407 366 503 384 375 497 350 372 342 470 351 350 365 513 375 362 483 343 353 346 520 367 403 368 
449 346 361 506 372 356 382 493 382 360 487 397 375 367 492 366 345 374 511 366 375 459 405 389 357 445 387 331 511 362 358 389 517 333 387 367 477 365 382 524 388 377 401 466 362 380 353 460 366 352 524 379 328 383 488 373 356 504 374 361 372 500 346 353 335 478 392 385 475 378 377 362 503 395 356 456 347 380 355 492 343 389 349 519 378 389 472 356 368 395 485 382 346 519 363 348 350 456 385 383 
355 495 371 366 462 354 351 372 490 420 372 357 495 373 379 476 373 359 377 481 348 367 491 385 337 353 440 370 358 392 482 364 358 475 359 331 357 493 334 370 516 342 386 393 472 369 325 377 435 380 371 490 344 392 363 482 373 339 359 466 364 387 506 354 374 384 479 334 361 512 351 345 356 442 382 368 395 462 366 370 528 381 364 414 478 324 364 498 344 378 400 501 341 375 369 465 378 372 465 376 
372 333 542 355 355 381 453 363 355 489 354 379 359 473 378 368 504 382 386 352 450 361 352 375 478 388 343 517 342 369 379 481 334 395 457 364 370 375 525 365 380 367 484 367 378 474 368 347 382 495 380 369 402 494 399 359 495 351 360 339 470 348 373 462 373 329 375 477 360 325 361 448 329 363 447 341 355 367 529 406 374 485 387 372 350 468 388 387 386 461 401 355 449 360 367 343 450 362 340 516 
355 349 397 509 375 387 343 498 379 392 461 359 353 375 528 340 385 369 466 379 350 495 364 378 346 460 342 339 505 384 354 368 520 401 382 365 468 350 355 528 365 345 388 455 373 381 520 334 350 350 483 349 386 373 472 351 356 511 384 372 364 489 348 371 344 464 330 354 468 346 340 378 437 354 329 466 324 356 333 484 361 366 362 474 376 378 471 334 365 349 508 363 349 495 345 363 380 484 362 352 
365 452 375 367 454 333 383 329 500 389 339 372 473 358 331 480 344 344 387 492 359 373 531 361 377 357 463 346 325 371 494 375 372 504 376 339 382 515 373 396 513 365 365 382 472 372 369 358 466 389 355 466 351 365 356 463 359 352 361 464 343 394 484 373 353 365 495 361 356 526 403 363 345 470 348 359 368 463 368 358 484 365 354 358 462 369 372 494 413 366 350 507 386 379 355 458 371 360 475 388 
357 385 522 377 349 375 468 357 382 480 371 346 361 487 360 352 468 342 374 377 452 365 359 336 473 330 348 479 377 325 385 487 353 401 507 378 384 351 479 351 391 363 478 342 361 490 385 398 395 487 370 321 488 351 349 387 435 356 352 359 517 385 351 497 380 365 355 458 314 370 381 506 341 371 521 370 393 338 498 364 364 483 376 339 363 490 378 371 338 502 395 382 510 365 367 388 472 373 393 491 
348 374 374 506 321 398 363 463 404 336 471 348 327 392 474 357 361 379 489 352 358 502 359 371 395 541 345 367 531 359 340 368 480 368 350 363 473 378 364 479 376 358 368 522 365 373 487 376 362 307 475 361 383 410 457 361 396 445 354 351 381 450 376 376 381 477 377 341 474 340 366 374 527 366 362 517 350 319 378 501 347 354 376 507 352 368 500 368 382 390 498 345 366 482 364 374 372 486 379 373 
357 463 385 347 519 367 371 363 497 367 365 472 363 395 371 443 383 331 377 456 384 371 450 366 362 378 489 338 396 348 465 390 374 462 349 335 345 493 340 366 463 366 370 361 477 394 370 347 529 390 380 502 387 354 346 480 336 399 474 369 346 339 462 348 376 363 472 379 367 493 387 340 352 489 382 369 344 492 366 372 496 337 374 369 474 377 355 450 345 388 384 475 353 348 381 478 373 367 430 360 
358 382 507 367 392 532 384 346 351 441 373 354 362 455 341 341 510 329 360 346 479 357 330 380 504 362 389 484 369 358 366 515 334 342 486 352 365 350 509 361 383 357 479 333 380 478 320 382 363 487 382 363 477 358 334 361 500 354 392 365 483 343 380 490 408 351 376 487 360 367 397 477 390 359 493 362 358 378 489 342 363 515 393 369 333 533 329 385 356 488 388 371 435 337 378 371 511 345 380 488 
390 334 365 469 368 370 315 479 366 353 478 388 337 366 489 401 359 457 330 354 337 460 361 351 340 443 371 367 482 346 393 370 500 352 351 383 507 324 382 487 329 368 363 497 378 381 482 371 351 373 488 370 331 384 518 371 364 531 366 364 388 492 343 367 505 377 358 387 489 375 390 374 517 400 374 476 384 380 346 473 368 346 357 454 350 383 490 327 337 395 483 382 349 500 329 383 405 494 363 350 
356 489 369 362 495 350 407 380 479 365 347 487 372 359 405 474 347 376 383 467 362 350 493 389 377 373 501 367 358 363 487 386 349 501 354 362 344 485 369 384 496 364 375 356 486 384 387 373 452 378 386 448 340 356 336 444 332 351 482 380 365 345 498 354 371 339 471 342 368 482 367 367 369 482 369 396 409 513 361 361 483 355 371 382 508 339 351 521 350 363 376 470 384 371 380 464 390 362 504 374 250
Sample size: 3,974,803 to hit rolls.


If you look at the numbers above, you can start to see the "beat" pattern I mentioned in my last post regarding the "randomness" of the rand(). I believe that is an artifact of the round-off formula and the binary conversion to decimal, and not a defect of the rand itself. It only affects the least significant digit of the random roll, and in a pattern not decimally aligned (meaning: as I said originally, no one could possibly notice without doing what I just did above). The distribution is otherwise apparently random, and certainly random enough for tohit rolls.


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Posted

I can't argue with cold hard facts but I certainly seem to be missing more. Several times I have whiffed 5 times in a row, which I thought wasn't supposed to happen.


 

Posted

Quote:
Originally Posted by Hy-Beams View Post
I can't argue with cold hard facts but I certainly seem to be missing more. Several times I have whiffed 5 times in a row, which I thought wasn't supposed to happen.
The Streak Breaker should prevent that unless your net tohit drops below 40%.

Important to realize that the streakbreaker honors the *lowest* tohit within your current miss streak. An example illustrates the point. Suppose you attack something with an attack that has a 95% chance to hit, and you get unlucky and miss. Many people assume the streakbreaker now *guarantees* the next attack will hit, but that's not exactly true. It will *if* the next swing *also* has a 90% or better net chance tohit. If so, then the SB will guarantee that swing hits, because the SB prevents miss streaks longer than one miss from attacks with higher than 90% net chance to hit the target.

But suppose you swing with a lower accuracy attack, one with a net overall chance to hit the target of only 85%? Well, you have one miss in a row, and your current attack only has 85% chance, and the SB will tolerate as many as two misses for such attacks, so you're still allowed to miss. And what if you then swing with an even worse attack, and it has only 75% chance to hit the target? That's right, you could miss again.

What's more, the SB factors in the *worst* attack in the chain, not the best and not the most recent. So suppose you swing with brawl, and brawl has nothing slotted into it at all and somehow Brawl only has a 15% chance to hit the target. According to the streakbreaker, you can now be allowed to miss up to one hundred times in a row before it is willing to step in and force a guaranteed hit. So even if the next 99 swings are with ultrahigh accuracy and you have a 95% chance to hit the target, if you really are that unlucky that you keep rolling snake eyes, you'll keep missing. Of course, to miss 99 times in a row with an attack that has a 95% chance to hit the target would make you the unluckiest person on the planet, but the streakbreaker will not bail you out. Not on that particular miss streak, because it has been "poisoned" by that very low accuracy attack.

This sometimes confuses people who don't know how the streakbreaker works. They fire a really high accuracy attack, and then a veteran attack with no accuracy, and miss both. Then they start swinging with nothing but high accuracy attacks and while they eventually hit they wonder how they could miss three or four times in a row when the streakbreaker is supposed to make it impossible to miss twice in a row with high accuracy attacks. And the answer is, the SB doesn't take about the two misses in a row with the high accuracy attacks. It cares about the four misses in a row with the one crappy accuracy attack, which allows for longer miss streaks.


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Posted

Quote:
Originally Posted by Arcanaville View Post
I've checked the random number generator four times in the last six years. The most recent test for randomness was a test I completed the first phase of a few weeks ago after accumulating about 5 million random rolls (I'm eventually going to do a 100 million random roll analysis, once I have enough random rolls).

So far, I have discovered no evidence of non-random behavior. If you are logging chat and have all of the tohit rolls logged, and are willing to submit your findings to independent analysis, PM me and I will arrange to have your logs' random rolls analyzed.
I will definitely PM you for that analysis.

Part of the problem that I am seeing (and I've petitioned this several times and didnt get an answer) is that I'm receiving a "double" roll for a single hit. The controller power, Deceive, shows this the best--but I've seen it scattered across a few other powersets as well. If you try to deceive a target, you get this on the hit roll screen:

MISSED Possessed Scientist!! Your Deceive power had a 20.00% chance to hit, you rolled a 87.69.
HIT Possessed Scientist! Your Deceive power had a 95.00% chance to hit, you rolled a 65.89.

That result comes from ONE use of the power on one target. So which one is the correct one? This is another reason why I believe the counter is skewed... if both are being registered--or even one counting while the other is "dismissed"--you can't tell me that it won't affect the results.


 

Posted

Quote:
Originally Posted by Warrior7 View Post
I will definitely PM you for that analysis.

Part of the problem that I am seeing (and I've petitioned this several times) is that I'm receiving a "double" roll for a single hit. The controller power, Deceive, shows this the best--but I've seen it scattered across a few other powersets as well. If you try to deceive a target, you get this on the hit roll screen:

MISSED Possessed Scientist!! Your Deceive power had a 20.00% chance to hit, you rolled a 87.69.
HIT Possessed Scientist! Your Deceive power had a 95.00% chance to hit, you rolled a 65.89.

That result comes from ONE use of the power on one target. So which one is the correct one? This is another reason why I believe the counter is skewed... if both are being registered--or even one counting while the other is "dismissed"--you can't tell me that it won't affect the results.
I bet you have Coersive or Malaise proc in deceive. So one hit roll for power itself, another (20%) is for proc.


 

Posted

Quote:
Originally Posted by NordBlast View Post
I bet you have Coersive or Malaise proc in deceive. So one hit roll for power itself, another (20%) is for proc.
You would be incorrect on that... here's what I have:

Coercive Persuasion: Confuse (Superior) ,
Coercive Persuasion: Confuse/Recharge (Superior) ,
Coercive Persuasion: Confuse/Recharge/Accuracy (Superior) ,
Coercive Persuasion: Recharge/Accuracy (Superior) ,
Coercive Persuasion: Confuse/Endurance (Superior)

I DO NOT have the contagious confusion proc. I only have these enhancements. Therefore, there shouldn't be an additional power being counted.


 

Posted

Quote:
Originally Posted by Warrior7 View Post
You would be incorrect on that... here's what I have:

Coercive Persuasion: Confuse (Superior) ,
Coercive Persuasion: Confuse/Recharge (Superior) ,
Coercive Persuasion: Confuse/Recharge/Accuracy (Superior) ,
Coercive Persuasion: Recharge/Accuracy (Superior) ,
Coercive Persuasion: Confuse/Endurance (Superior)

I DO NOT have the contagious confusion proc. I only have these enhancements. Therefore, there shouldn't be an additional power being counted.
Controller's chance for "overpowered" then?


 

Posted

It's due to controller's 'overpower'

Every controller control has a chance to deal an extra mag 1 mez on top of the base hit.

Decieve has a 20% chance for it.

(Generally it's 20%, though for some, like AoE immobilize, it's 50%)

You will also see this occurance in anything that has an extra chance to do something.

IE: energy melee bone smasher, 60% chance for stun, would have an extra 60% to-hit roll to check the stun


 

Posted

Quote:
Originally Posted by Tylerst View Post
It's due to controller's 'overpower'

Every controller control has a chance to deal an extra mag 1 mez on top of the base hit.

Decieve has a 20% chance for it.

(Generally it's 20%, though for some, like AoE immobilize, it's 50%)

You will also see this occurance in anything that has an extra chance to do something.

IE: energy melee bone smasher, 60% chance for stun, would have an extra 60% to-hit roll to check the stun
Very nice, I never knew that.

So I'm guessing this has it's own separate hitroll and is not affected by streakbreaker or the ilk. I'm also assuming (yeah, I know... never assume) that the number isn't affected by tohit buffs or powers like Tactics. Is that correct?

One more thing, according to paragonwiki, NPC's also have streakbreaker. How is this factored into hit rolls?


 

Posted

Quote:
Originally Posted by Warrior7 View Post
Very nice, I never knew that.
A lot of people forget, actually.


Quote:
So I'm guessing this has it's own separate hitroll and is not affected by streakbreaker or the ilk. I'm also assuming (yeah, I know... never assume) that the number isn't affected by tohit buffs or powers like Tactics. Is that correct?
Yes, and yes. And just to be clear, as mentioned above whenever the combat engine makes a tohit roll on your behalf, even if it isn't strictly speaking to see if an attack actually hits, you'll see those messages in your combat chat. So overpower, scrapper crits, percentage chance stuns, any effect that has a less than 100% chance to hit will likely show a roll in the combat chat which states whether that specific effect actually occurs or not. It does not affect random rolls that are unrelated to a power hitting a target.


Quote:
One more thing, according to paragonwiki, NPC's also have streakbreaker. How is this factored into hit rolls?
The streakbreaker is built into the combat engine. Anything that attacks anything is affected by it.

The streakbreaker doesn't affect tohit rolls. If the streakbreaker decides your next attack will be a forced hit, the game engine doesn't bother making a roll at all. The SB doesn't "modify" the tohit roll to force the hit: that attack essentially becomes an autohitting attack.

The streakbreaker affects attacks not players or critters, and affects all attacks that must make a tohit roll to hit the target (i.e. attacks that are not autohit). The streakbreaker only affects miss-streaks: it will break a streak of misses and inject a hit if the miss streak exceeds its parameters (which vary based on your worst tohit requirement of the miss streak as described above) and does not affect hits: it will never convert a hit into a miss.


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Posted

Quote:
Originally Posted by Arcanaville View Post
The streakbreaker doesn't affect tohit rolls. If the streakbreaker decides your next attack will be a forced hit, the game engine doesn't bother making a roll at all. The SB doesn't "modify" the tohit roll to force the hit: that attack essentially becomes an autohitting attack.
That's interesting. If the game actually doesn't roll for forced hits... then we should be able to recognize streakbreaker-enforced hits in the combat log!

I can't remember ever seeing something like that, but of course it's quite possible that I missed the occurrences the streakbreaker actually had to do something for me. (I don't watch the combat log all the time...)

Does anybody have a record of such an event (a power being declared autohit even though it usually isn't)?


10


 

Posted

Quote:
Originally Posted by Ten__ View Post
[color=lightblue]That's interesting. If the game actually doesn't roll for forced hits... then we should be able to recognize streakbreaker-enforced hits in the combat log!
Absolutely. It's phrased something like: "Hit! Your Hack attack was forced to hit by the streakbreaker."


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Posted

Quote:
Originally Posted by Ten__ View Post
That's interesting. If the game actually doesn't roll for forced hits... then we should be able to recognize streakbreaker-enforced hits in the combat log!

I can't remember ever seeing something like that, but of course it's quite possible that I missed the occurrences the streakbreaker actually had to do something for me. (I don't watch the combat log all the time...)

Does anybody have a record of such an event (a power being declared autohit even though it usually isn't)?

10
09-01-2010 23:45:27 Decoy: HIT Sister Psyche! Your Hurl power was forced to hit by streakbreaker.
09-02-2010 00:00:29 Decoy: HIT Back Alley Brawler! Your Hurl power was forced to hit by streakbreaker.


 

Posted

Quote:
Originally Posted by Ironblade View Post
Absolutely. It's phrased something like: "Hit! Your Hack attack was forced to hit by the streakbreaker."
Yes, but the opposite isn't true... if you are protected from hits (or if the NPC is protected from the power) the combat log doesn't say, "Protected" or "Cannot be used" instead it generates a number that cannot fall into the "hitting" range.

I've noticed with with Hibernate specifically--it's a power I use a lot. I haven't been hit once while in the middle of it (though I've been killed many times while activating it but that's a subject for another forum). Instead of it generating a message saying "you are protected from hits," the hitroll counter never allows the NPC to land a successful hit... which is part of my confusion with the hit roll generator.

Case in point... A lvl 50 blaster in hibernate against a group of lvl 54 bosses:

Gunslinger MISSES! Incendiary Round power had a 29.78% chance to hit, but rolled a 56.20.
Gunslinger MISSES! Explosive Tip power had a 29.78% chance to hit, but rolled a 42.22.
Tactical Operative MISSES! Brawl power had a 70.13% chance to hit, but rolled a 92.22.
Operation Officer MISSES! Brawl power had a 80.69% chance to hit, but rolled a 81.37.
actical Operative MISSES! Adv Assault Rifle power had a 15.53% chance to hit, but rolled a 30.12.
Tactical Operative MISSES! Brawl power had a 70.13% chance to hit, but rolled a 72.12.
Tactical Operative MISSES! Taser power had a 22.98% chance to hit, but rolled a 30.58.
Operation Officer MISSES! Taser power had a 26.44% chance to hit, but rolled a 31.81.
Tactical Operative MISSES! Brawl power had a 65.50% chance to hit, but rolled a 82.70.
Gunslinger MISSES! Explosive Tip power had a 20.91% chance to hit, but rolled a 66.04.
Tactical Operative MISSES! Taser power had a 22.98% chance to hit, but rolled a 69.55.
Operation Officer MISSES! Brawl power had a 75.37% chance to hit, but rolled a 85.59.

This goes on the entire time I'm in hibernate. Now if I go to Talos and rough up a group of lvl 21 Tsoo with a 5% chance of hitting me, I'll get hit at least one time in thirty seconds (depending on the size of the group). This confuses me. So I'm thinking that the hit roll counter "knows" when to hit and when not to hit. This is show in Arcanaville's posting where Elude is used and the NPC's miss every time.

The inverse of this is also true. I took on a lvl 52 Class Titan and my flame powers missed each time... in exactly the same manner as hibernate. So I took it one step farther... I went to Sirens Call with my Ill/Storm and tried to deceive a villain drone. After twelve attempts, I landed a successful hit but a message popped up saying that the drone could not be deceived or confused. If that's the case, why show the hit rolls?


 

Posted

how and where do we turn this data in. I've been watching my numbers closely past few weeks and writing down the numbers, calculating and such.
Findings in short-player rolls are over estimated and usually end up ten-12% under than what the number suggest. And NPC rolls, including pets, seems to be understated i nthe hit roll log. Many times, a npc have 5-7% to hit and it hits way more than that. while when the player side have 5-7% to hit, it might as well be nill. The NPC seems to roll low numbers quite more often than the player.



Just now, I had 90%-95% to hit, and four times within a very short time, had to have the power force hit. Had three force hits in a row then the fourth force hit cam three mobs later, with misses in between. Havent analyzed this current data but rough counting of the misses and hits over all powers, about 50%. far from 90-95% chance.

The first time I noticed, took it "oh just a bad streak. But after paying close attention, this is more than just bad streaks.


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Posted

Quote:
Originally Posted by Evil_Legacy View Post
how and where do we turn this data in. I've been watching my numbers closely past few weeks and writing down the numbers, calculating and such.
Offhand, if you're noting these results manually, you don't have enough data to justify investigation. You need to have automated capture of the data. You need many THOUSANDS of data points to even think about proving anything. Arcanaville said she routinely analyzes MILLIONS of results.


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Posted

Quote:
Originally Posted by Warrior7 View Post
Yes, but the opposite isn't true... if you are protected from hits (or if the NPC is protected from the power) the combat log doesn't say, "Protected" or "Cannot be used" instead it generates a number that cannot fall into the "hitting" range.

I've noticed with with Hibernate specifically--it's a power I use a lot. I haven't been hit once while in the middle of it (though I've been killed many times while activating it but that's a subject for another forum). Instead of it generating a message saying "you are protected from hits," the hitroll counter never allows the NPC to land a successful hit... which is part of my confusion with the hit roll generator.
No, that's not what's happening. Look closer. If an attack actually lands on you while Hibernate is up, the combat chat doesn't print anything at all. I think that is a bug, in other cases where the target is unaffected by the attack something prints (at least as of the last time I recall) but I confirmed the behavior of Hibernate just now. If the attacker misses you'll get a combat spam message with the miss message. But if it hits you there's no message at all. So you'll only see the tohit rolls that happen to miss, not the ones that happen to hit.

As far as I know, nothing "modifies" the tohit roll. its the chance to hit that is modified. There's only one exception to that rule, and its not an exception that you'll likely see direct evidence of, and won't show itself in the combat spam as a modified tohit roll (that exception is tohit rolls used in special formulas within Requires or Magnitude clauses: people familiar with the mechanics I'm talking about will know what I'm referring to).


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Posted

Quote:
Originally Posted by Evil_Legacy View Post
how and where do we turn this data in. I've been watching my numbers closely past few weeks and writing down the numbers, calculating and such.
Findings in short-player rolls are over estimated and usually end up ten-12% under than what the number suggest. And NPC rolls, including pets, seems to be understated i nthe hit roll log. Many times, a npc have 5-7% to hit and it hits way more than that. while when the player side have 5-7% to hit, it might as well be nill. The NPC seems to roll low numbers quite more often than the player.



Just now, I had 90%-95% to hit, and four times within a very short time, had to have the power force hit. Had three force hits in a row then the fourth force hit cam three mobs later, with misses in between. Havent analyzed this current data but rough counting of the misses and hits over all powers, about 50%. far from 90-95% chance.

The first time I noticed, took it "oh just a bad streak. But after paying close attention, this is more than just bad streaks.
Really, there's nowhere to turn such data in. After all these years of such observations never panning out**, I doubt anyone will take them seriously. Particularly without statistically air tight evidence. The only person that continues to take this remotely seriously is probably me, and even I will not conduct an investigation based solely on observational evidence unless the observer is known to me to be a trained observer of such things. I'll only investigate actual combat logs, and only if they are long enough to give me sufficient context to rule out all other possible sources of the problem.

As to your specific observations, most of my observations are NPC rolls, not player rolls, and in those cases the NPCs are rolling every range of numbers equally often. Furthermore, their last roll doesn't bias the next roll: the odds of rolling high or low are equal regardless of the previous roll. Its theoretically possible that player tohit rolling could be different than NPC player rolling, but I consider that highly unlikely due to the way the game actually performs tohit rolls, which is to say to the best of my knowledge the game engine doesn't know when its rolling who is doing the rolling.


** As far as I know, reports of accuracy or tohit "not working right" have only panned out twice in the history of the game: the first time long ago when the type-stacking bug was discovered, and the second time when I investigated the mechanics of luck inspirations. And in both cases, the random number generator itself was exonerated as being the source of the problem.


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