Re: Bitcoin puzzle transaction ~32 BTC prize to who solves it

That's exactly what you described. Leaving "less likely" ranges for later because you think it's less likely to be there.
The script that you sent shows that it does not change anything, both methods are equally fast on average.

Okay, I'll return to my field again. I hope this time it makes you happy.

Code:

const { performance } = require("perf_hooks");
const crypto = require("crypto");

const TOTAL_SIZE = 100_000, RANGE_SIZE = 5_000, PREFIX_LENGTH = 3, SIMULATIONS = 200;

console.log(`
=== Configuration ===
Total numbers: ${TOTAL_SIZE.toLocaleString()}
Block size: ${RANGE_SIZE.toLocaleString()}
Prefix: ${PREFIX_LENGTH} characters (16^${PREFIX_LENGTH} combinations)
Simulations: ${SIMULATIONS}
`);

const generateH160 = (data) => crypto.createHash("ripemd160").update(data.toString()).digest("hex");

const shuffledRange = (n) => {
  const arr = [...Array(n + 1).keys()];
  for (let i = arr.length - 1; i > 0; i--) {
    const j = Math.floor(Math.random() * (i + 1));
    [arr[i], arr[j]] = [arr[j], arr[i]];
  }
  return arr;
};

const sequentialSearch = (size, block, targetHash, order) => {
  let checks = 0;
  for (const idx of order) {
    for (let num = idx * block; num < (idx + 1) * block; num++) {
      checks++;
      if (generateH160(num) === targetHash) return { checks, found: true };
    }
  }
  return { checks, found: false };
};

const preciseSearch = (size, block, prefix, targetHash, order) => {
  const prefixHash = targetHash.slice(0, prefix);
  let checks = 0, ranges = [];
  for (const idx of order) {
    let start = idx * block, end = start + block, foundPrefix = false;
    for (let num = start; num < end; num++) {
      checks++;
      const hash = generateH160(num);
      if (hash === targetHash) return { checks, found: true };
      if (!foundPrefix && hash.startsWith(prefixHash)) {
        foundPrefix = true;
        ranges.push({ start: num + 1, end });
        break;
      }
    }
  }
  for (const { start, end } of ranges) {
    for (let num = end - 1; num >= start; num--) {
      checks++;
      if (generateH160(num) === targetHash) return { checks, found: true };
    }
  }
  return { checks, found: false };
};

const compareMethods = async () => {
  [...Array(5).keys()].forEach((i) => generateH160(i));

  const results = { sequential: { wins: 0 }, precise: { wins: 0 }, ties: 0 };

  for (let i = 0; i < SIMULATIONS; i++) {
    const blocks = Math.floor(TOTAL_SIZE / RANGE_SIZE), order = shuffledRange(blocks - 1);
    const targetNum = Math.floor(Math.random() * TOTAL_SIZE), targetHash = generateH160(targetNum);

    const seqResult = sequentialSearch(TOTAL_SIZE, RANGE_SIZE, targetHash, order);
    const preResult = preciseSearch(TOTAL_SIZE, RANGE_SIZE, PREFIX_LENGTH, targetHash, order);

    if (seqResult.checks < preResult.checks) {
      results.sequential.wins++;
    } else if (seqResult.checks > preResult.checks) {
      results.precise.wins++;
    } else {
      results.ties++;
    }

    console.log(`Simulation ${i + 1}: Sequential = ${seqResult.checks} | Prefix = ${preResult.checks}`);
  }

  console.log(`
=== FINAL RESULTS ===
Wins:
Sequential: ${results.sequential.wins}
Prefix: ${results.precise.wins}
Ties: ${results.ties}
`);
};

compareMethods();

test

Code:


mcdouglasxx@DESKTOP-xxxxx:/mnt/d/scripts/js$ node script2.js

=== Configuration ===
Total numbers: 100,000
Block size: 5,000
Prefix: 3 characters (16^3 combinations)
Simulations: 100

Simulation 1: Sequential = 75004 | Prefix = 34473
Simulation 2: Sequential = 74710 | Prefix = 36860
Simulation 3: Sequential = 63542 | Prefix = 85621
Simulation 4: Sequential = 37020 | Prefix = 81067
Simulation 5: Sequential = 44938 | Prefix = 68596
Simulation 6: Sequential = 29987 | Prefix = 75771
Simulation 7: Sequential = 56312 | Prefix = 35250
Simulation 8: Sequential = 94955 | Prefix = 62007
Simulation 9: Sequential = 5987 | Prefix = 5987
Simulation 10: Sequential = 69235 | Prefix = 82083
Simulation 11: Sequential = 76418 | Prefix = 47596
Simulation 12: Sequential = 31213 | Prefix = 12355
Simulation 13: Sequential = 22203 | Prefix = 14951
Simulation 14: Sequential = 89490 | Prefix = 92243
Simulation 15: Sequential = 97895 | Prefix = 64774
Simulation 16: Sequential = 52601 | Prefix = 32164
Simulation 17: Sequential = 65497 | Prefix = 36823
Simulation 18: Sequential = 92662 | Prefix = 66093
Simulation 19: Sequential = 85647 | Prefix = 94981
Simulation 20: Sequential = 84244 | Prefix = 55965
Simulation 21: Sequential = 30199 | Prefix = 21116
Simulation 22: Sequential = 79185 | Prefix = 46457
Simulation 23: Sequential = 59370 | Prefix = 83567
Simulation 24: Sequential = 73713 | Prefix = 91788
Simulation 25: Sequential = 18320 | Prefix = 5081
Simulation 26: Sequential = 2055 | Prefix = 76830
Simulation 27: Sequential = 38205 | Prefix = 20850
Simulation 28: Sequential = 36037 | Prefix = 70280
Simulation 29: Sequential = 72671 | Prefix = 42126
Simulation 30: Sequential = 78829 | Prefix = 48454
Simulation 31: Sequential = 15121 | Prefix = 8646
Simulation 32: Sequential = 49247 | Prefix = 27642
Simulation 33: Sequential = 35476 | Prefix = 26740
Simulation 34: Sequential = 60112 | Prefix = 31800
Simulation 35: Sequential = 63668 | Prefix = 79126
Simulation 36: Sequential = 76941 | Prefix = 54223
Simulation 37: Sequential = 55926 | Prefix = 41484
Simulation 38: Sequential = 25467 | Prefix = 15749
Simulation 39: Sequential = 70010 | Prefix = 31182
Simulation 40: Sequential = 73402 | Prefix = 93719
Simulation 41: Sequential = 61589 | Prefix = 38721
Simulation 42: Sequential = 86392 | Prefix = 43589
Simulation 43: Sequential = 20284 | Prefix = 13769
Simulation 44: Sequential = 91451 | Prefix = 97834
Simulation 45: Sequential = 84368 | Prefix = 89120
Simulation 46: Sequential = 66138 | Prefix = 25019
Simulation 47: Sequential = 71756 | Prefix = 39633
Simulation 48: Sequential = 31578 | Prefix = 18069
Simulation 49: Sequential = 42514 | Prefix = 24550
Simulation 50: Sequential = 85195 | Prefix = 42217
Simulation 51: Sequential = 92767 | Prefix = 95810
Simulation 52: Sequential = 35210 | Prefix = 13701
Simulation 53: Sequential = 67645 | Prefix = 35771
Simulation 54: Sequential = 63090 | Prefix = 97134
Simulation 55: Sequential = 39726 | Prefix = 18368
Simulation 56: Sequential = 38016 | Prefix = 63347
Simulation 57: Sequential = 90989 | Prefix = 99096
Simulation 58: Sequential = 28074 | Prefix = 62070
Simulation 59: Sequential = 72943 | Prefix = 87572
Simulation 60: Sequential = 25424 | Prefix = 13379
Simulation 61: Sequential = 31033 | Prefix = 12828
Simulation 62: Sequential = 80694 | Prefix = 54126
Simulation 63: Sequential = 22245 | Prefix = 78850
Simulation 64: Sequential = 35670 | Prefix = 80926
Simulation 65: Sequential = 76276 | Prefix = 50318
Simulation 66: Sequential = 49843 | Prefix = 74152
Simulation 67: Sequential = 96449 | Prefix = 44735
Simulation 68: Sequential = 72630 | Prefix = 96172
Simulation 69: Sequential = 32064 | Prefix = 73041
Simulation 70: Sequential = 10063 | Prefix = 6981
Simulation 71: Sequential = 42448 | Prefix = 25395
Simulation 72: Sequential = 81354 | Prefix = 39142
Simulation 73: Sequential = 12286 | Prefix = 51349
Simulation 74: Sequential = 43994 | Prefix = 24741
Simulation 75: Sequential = 9763 | Prefix = 66303
Simulation 76: Sequential = 83167 | Prefix = 94822
Simulation 77: Sequential = 64682 | Prefix = 83432
Simulation 78: Sequential = 85489 | Prefix = 53821
Simulation 79: Sequential = 87738 | Prefix = 99338
Simulation 80: Sequential = 4243 | Prefix = 67795
Simulation 81: Sequential = 13197 | Prefix = 7789
Simulation 82: Sequential = 41731 | Prefix = 81324
Simulation 83: Sequential = 7451 | Prefix = 2760
Simulation 84: Sequential = 80703 | Prefix = 35635
Simulation 85: Sequential = 93740 | Prefix = 58204
Simulation 86: Sequential = 12434 | Prefix = 67203
Simulation 87: Sequential = 37 | Prefix = 37
Simulation 88: Sequential = 58587 | Prefix = 88665
Simulation 89: Sequential = 90974 | Prefix = 43278
Simulation 90: Sequential = 30688 | Prefix = 15374
Simulation 91: Sequential = 25992 | Prefix = 71388
Simulation 92: Sequential = 73613 | Prefix = 85796
Simulation 93: Sequential = 7227 | Prefix = 3186
Simulation 94: Sequential = 85088 | Prefix = 54816
Simulation 95: Sequential = 28138 | Prefix = 11612
Simulation 96: Sequential = 37271 | Prefix = 67658
Simulation 97: Sequential = 26293 | Prefix = 16304
Simulation 98: Sequential = 86015 | Prefix = 94243
Simulation 99: Sequential = 49345 | Prefix = 33127
Simulation 100: Sequential = 37361 | Prefix = 20712

=== FINAL RESULTS ===
Wins:
Sequential: 39
Prefix: 59
Ties: 2

mcdouglasxx@DESKTOP-xxxxx:/mnt/d/scripts/js$ node script2.js

=== Configuration ===
Total numbers: 100,000
Block size: 5,000
Prefix: 3 characters (16^3 combinations)
Simulations: 200

Simulation 1: Sequential = 42011 | Prefix = 73331
Simulation 2: Sequential = 61280 | Prefix = 41543
Simulation 3: Sequential = 54999 | Prefix = 72043
Simulation 4: Sequential = 60288 | Prefix = 91960
Simulation 5: Sequential = 45857 | Prefix = 26364
Simulation 6: Sequential = 57160 | Prefix = 87031
Simulation 7: Sequential = 16585 | Prefix = 5805
Simulation 8: Sequential = 78936 | Prefix = 90640
Simulation 9: Sequential = 9869 | Prefix = 55319
Simulation 10: Sequential = 19576 | Prefix = 51238
Simulation 11: Sequential = 21798 | Prefix = 82717
Simulation 12: Sequential = 52394 | Prefix = 26594
Simulation 13: Sequential = 15524 | Prefix = 7981
Simulation 14: Sequential = 99878 | Prefix = 95325
Simulation 15: Sequential = 12615 | Prefix = 11821
Simulation 16: Sequential = 5515 | Prefix = 2929
Simulation 17: Sequential = 68727 | Prefix = 82317
Simulation 18: Sequential = 47318 | Prefix = 76912
Simulation 19: Sequential = 26347 | Prefix = 18179
Simulation 20: Sequential = 2866 | Prefix = 2866
Simulation 21: Sequential = 41361 | Prefix = 20039
Simulation 22: Sequential = 15991 | Prefix = 6802
Simulation 23: Sequential = 77107 | Prefix = 87401
Simulation 24: Sequential = 28200 | Prefix = 17327
Simulation 25: Sequential = 65277 | Prefix = 77867
Simulation 26: Sequential = 62995 | Prefix = 37923
Simulation 27: Sequential = 35467 | Prefix = 20363
Simulation 28: Sequential = 73584 | Prefix = 76952
Simulation 29: Sequential = 34727 | Prefix = 65990
Simulation 30: Sequential = 54290 | Prefix = 85178
Simulation 31: Sequential = 36243 | Prefix = 81595
Simulation 32: Sequential = 94932 | Prefix = 62083
Simulation 33: Sequential = 9361 | Prefix = 65745
Simulation 34: Sequential = 35067 | Prefix = 21963
Simulation 35: Sequential = 36111 | Prefix = 15660
Simulation 36: Sequential = 89077 | Prefix = 92290
Simulation 37: Sequential = 94948 | Prefix = 45868
Simulation 38: Sequential = 96690 | Prefix = 45625
Simulation 39: Sequential = 90656 | Prefix = 96292
Simulation 40: Sequential = 12204 | Prefix = 9145
Simulation 41: Sequential = 29889 | Prefix = 71032
Simulation 42: Sequential = 95991 | Prefix = 99931
Simulation 43: Sequential = 43583 | Prefix = 19356
Simulation 44: Sequential = 59256 | Prefix = 72233
Simulation 45: Sequential = 86502 | Prefix = 54802
Simulation 46: Sequential = 97625 | Prefix = 46700
Simulation 47: Sequential = 9925 | Prefix = 58869
Simulation 48: Sequential = 77845 | Prefix = 92720
Simulation 49: Sequential = 82551 | Prefix = 49884
Simulation 50: Sequential = 40540 | Prefix = 77012
Simulation 51: Sequential = 10912 | Prefix = 2045
Simulation 52: Sequential = 35974 | Prefix = 20288
Simulation 53: Sequential = 18957 | Prefix = 14425
Simulation 54: Sequential = 46157 | Prefix = 83742
Simulation 55: Sequential = 95650 | Prefix = 65010
Simulation 56: Sequential = 78608 | Prefix = 52531
Simulation 57: Sequential = 93432 | Prefix = 62208
Simulation 58: Sequential = 62970 | Prefix = 74303
Simulation 59: Sequential = 10796 | Prefix = 6213
Simulation 60: Sequential = 68282 | Prefix = 32721
Simulation 61: Sequential = 41648 | Prefix = 34394
Simulation 62: Sequential = 38260 | Prefix = 58198
Simulation 63: Sequential = 57529 | Prefix = 26724
Simulation 64: Sequential = 14247 | Prefix = 71416
Simulation 65: Sequential = 34848 | Prefix = 63862
Simulation 66: Sequential = 54455 | Prefix = 84087
Simulation 67: Sequential = 26395 | Prefix = 11413
Simulation 68: Sequential = 58040 | Prefix = 77245
Simulation 69: Sequential = 31643 | Prefix = 66123
Simulation 70: Sequential = 36759 | Prefix = 23853
Simulation 71: Sequential = 66598 | Prefix = 29399
Simulation 72: Sequential = 15713 | Prefix = 13545
Simulation 73: Sequential = 76142 | Prefix = 91467
Simulation 74: Sequential = 98591 | Prefix = 99951
Simulation 75: Sequential = 60804 | Prefix = 29268
Simulation 76: Sequential = 63862 | Prefix = 34813
Simulation 77: Sequential = 12351 | Prefix = 74403
Simulation 78: Sequential = 78419 | Prefix = 88566
Simulation 79: Sequential = 31052 | Prefix = 20956
Simulation 80: Sequential = 92186 | Prefix = 49161
Simulation 81: Sequential = 429 | Prefix = 429
Simulation 82: Sequential = 22705 | Prefix = 68447
Simulation 83: Sequential = 75020 | Prefix = 38895
Simulation 84: Sequential = 4325 | Prefix = 55871
Simulation 85: Sequential = 51322 | Prefix = 34764
Simulation 86: Sequential = 85732 | Prefix = 42645
Simulation 87: Sequential = 17171 | Prefix = 59780
Simulation 88: Sequential = 98034 | Prefix = 99261
Simulation 89: Sequential = 9937 | Prefix = 61406
Simulation 90: Sequential = 55996 | Prefix = 81478
Simulation 91: Sequential = 99567 | Prefix = 62509
Simulation 92: Sequential = 4263 | Prefix = 58453
Simulation 93: Sequential = 48129 | Prefix = 15896
Simulation 94: Sequential = 24691 | Prefix = 64068
Simulation 95: Sequential = 39460 | Prefix = 75507
Simulation 96: Sequential = 87875 | Prefix = 58728
Simulation 97: Sequential = 77751 | Prefix = 40177
Simulation 98: Sequential = 54836 | Prefix = 80452
Simulation 99: Sequential = 95450 | Prefix = 64043
Simulation 100: Sequential = 77084 | Prefix = 52660
Simulation 101: Sequential = 96261 | Prefix = 50307
Simulation 102: Sequential = 95463 | Prefix = 55581
Simulation 103: Sequential = 79750 | Prefix = 87692
Simulation 104: Sequential = 60951 | Prefix = 38941
Simulation 105: Sequential = 26375 | Prefix = 9776
Simulation 106: Sequential = 39433 | Prefix = 62202
Simulation 107: Sequential = 33414 | Prefix = 21602
Simulation 108: Sequential = 49500 | Prefix = 24666
Simulation 109: Sequential = 97488 | Prefix = 54097
Simulation 110: Sequential = 9045 | Prefix = 9045
Simulation 111: Sequential = 85609 | Prefix = 49185
Simulation 112: Sequential = 42304 | Prefix = 67758
Simulation 113: Sequential = 90684 | Prefix = 51890
Simulation 114: Sequential = 82849 | Prefix = 54362
Simulation 115: Sequential = 99423 | Prefix = 97246
Simulation 116: Sequential = 17218 | Prefix = 10948
Simulation 117: Sequential = 34699 | Prefix = 25025
Simulation 118: Sequential = 28710 | Prefix = 66511
Simulation 119: Sequential = 18499 | Prefix = 66541
Simulation 120: Sequential = 19434 | Prefix = 62426
Simulation 121: Sequential = 57844 | Prefix = 39484
Simulation 122: Sequential = 79027 | Prefix = 52554
Simulation 123: Sequential = 16305 | Prefix = 10842
Simulation 124: Sequential = 16186 | Prefix = 8227
Simulation 125: Sequential = 60772 | Prefix = 34087
Simulation 126: Sequential = 86692 | Prefix = 46941
Simulation 127: Sequential = 48505 | Prefix = 41160
Simulation 128: Sequential = 52071 | Prefix = 24952
Simulation 129: Sequential = 71206 | Prefix = 40587
Simulation 130: Sequential = 99135 | Prefix = 99883
Simulation 131: Sequential = 65953 | Prefix = 42562
Simulation 132: Sequential = 57397 | Prefix = 81390
Simulation 133: Sequential = 84987 | Prefix = 94016
Simulation 134: Sequential = 32768 | Prefix = 20336
Simulation 135: Sequential = 46451 | Prefix = 71222
Simulation 136: Sequential = 67371 | Prefix = 44730
Simulation 137: Sequential = 49590 | Prefix = 79853
Simulation 138: Sequential = 3760 | Prefix = 56835
Simulation 139: Sequential = 46692 | Prefix = 29185
Simulation 140: Sequential = 29102 | Prefix = 66428
Simulation 141: Sequential = 90810 | Prefix = 46874
Simulation 142: Sequential = 79577 | Prefix = 85543
Simulation 143: Sequential = 3851 | Prefix = 3851
Simulation 144: Sequential = 70011 | Prefix = 30212
Simulation 145: Sequential = 57323 | Prefix = 85971
Simulation 146: Sequential = 9728 | Prefix = 52770
Simulation 147: Sequential = 53573 | Prefix = 78726
Simulation 148: Sequential = 70458 | Prefix = 84254
Simulation 149: Sequential = 95484 | Prefix = 62048
Simulation 150: Sequential = 48045 | Prefix = 80894
Simulation 151: Sequential = 33143 | Prefix = 74700
Simulation 152: Sequential = 33736 | Prefix = 64961
Simulation 153: Sequential = 40060 | Prefix = 23271
Simulation 154: Sequential = 3597 | Prefix = 55429
Simulation 155: Sequential = 71332 | Prefix = 91239
Simulation 156: Sequential = 24184 | Prefix = 8516
Simulation 157: Sequential = 58241 | Prefix = 78083
Simulation 158: Sequential = 62413 | Prefix = 26915
Simulation 159: Sequential = 90354 | Prefix = 51823
Simulation 160: Sequential = 13656 | Prefix = 59269
Simulation 161: Sequential = 46353 | Prefix = 31651
Simulation 162: Sequential = 53395 | Prefix = 42595
Simulation 163: Sequential = 71828 | Prefix = 96669
Simulation 164: Sequential = 98601 | Prefix = 97759
Simulation 165: Sequential = 30591 | Prefix = 14676
Simulation 166: Sequential = 80781 | Prefix = 56383
Simulation 167: Sequential = 55417 | Prefix = 40122
Simulation 168: Sequential = 88736 | Prefix = 61467
Simulation 169: Sequential = 71105 | Prefix = 30305
Simulation 170: Sequential = 82722 | Prefix = 47960
Simulation 171: Sequential = 67022 | Prefix = 47016
Simulation 172: Sequential = 72089 | Prefix = 43145
Simulation 173: Sequential = 15039 | Prefix = 5165
Simulation 174: Sequential = 2849 | Prefix = 65513
Simulation 175: Sequential = 92214 | Prefix = 51923
Simulation 176: Sequential = 95999 | Prefix = 48186
Simulation 177: Sequential = 92522 | Prefix = 97899
Simulation 178: Sequential = 97076 | Prefix = 97987
Simulation 179: Sequential = 67155 | Prefix = 92637
Simulation 180: Sequential = 14812 | Prefix = 72648
Simulation 181: Sequential = 26561 | Prefix = 67868
Simulation 182: Sequential = 56923 | Prefix = 84458
Simulation 183: Sequential = 55699 | Prefix = 34948
Simulation 184: Sequential = 24658 | Prefix = 60557
Simulation 185: Sequential = 67844 | Prefix = 33855
Simulation 186: Sequential = 76218 | Prefix = 44573
Simulation 187: Sequential = 8747 | Prefix = 5523
Simulation 188: Sequential = 19044 | Prefix = 14628
Simulation 189: Sequential = 92222 | Prefix = 50770
Simulation 190: Sequential = 27608 | Prefix = 66848
Simulation 191: Sequential = 71850 | Prefix = 37392
Simulation 192: Sequential = 94664 | Prefix = 98763
Simulation 193: Sequential = 94971 | Prefix = 95176
Simulation 194: Sequential = 84913 | Prefix = 90029
Simulation 195: Sequential = 61326 | Prefix = 45809
Simulation 196: Sequential = 63625 | Prefix = 81397
Simulation 197: Sequential = 27842 | Prefix = 12642
Simulation 198: Sequential = 5286 | Prefix = 5130
Simulation 199: Sequential = 9075 | Prefix = 5611
Simulation 200: Sequential = 61734 | Prefix = 31056

=== FINAL RESULTS ===
Wins:
Sequential: 86
Prefix: 110
Ties: 4

Let it run overnight for a bit more, 200 simulations is quite low to establish a trend. You’ll get nicer results (about 50/50) if you run 10k simulations.

At this point, I invite everyone to test it with as many simulations as they wish and to publish it, for a neutral environment.

Code:

=== Configuration ===
Total numbers: 100,000
Block size: 5,000
Prefix: 3 characters (16^3 combinations)
Simulations: 200

Simulation 1: Sequential = 48106 | Prefix = 72120
Simulation 2: Sequential = 81437 | Prefix = 35588
Simulation 3: Sequential = 56378 | Prefix = 31085
Simulation 4: Sequential = 83542 | Prefix = 38939
Simulation 5: Sequential = 32000 | Prefix = 16159
Simulation 6: Sequential = 50074 | Prefix = 37243
Simulation 7: Sequential = 46823 | Prefix = 28659
Simulation 8: Sequential = 82787 | Prefix = 97901
Simulation 9: Sequential = 82969 | Prefix = 91185
Simulation 10: Sequential = 8730 | Prefix = 8730
Simulation 11: Sequential = 10361 | Prefix = 6237
Simulation 12: Sequential = 77642 | Prefix = 55706
Simulation 13: Sequential = 687 | Prefix = 687
Simulation 14: Sequential = 18462 | Prefix = 12068
Simulation 15: Sequential = 20073 | Prefix = 12160
Simulation 16: Sequential = 61000 | Prefix = 32608
Simulation 17: Sequential = 50313 | Prefix = 30886
Simulation 18: Sequential = 68883 | Prefix = 76144
Simulation 19: Sequential = 49872 | Prefix = 31026
Simulation 20: Sequential = 26937 | Prefix = 67769
Simulation 21: Sequential = 5514 | Prefix = 5514
Simulation 22: Sequential = 88141 | Prefix = 97093
Simulation 23: Sequential = 73796 | Prefix = 38636
Simulation 24: Sequential = 16635 | Prefix = 11140
Simulation 25: Sequential = 91609 | Prefix = 53063
Simulation 26: Sequential = 51623 | Prefix = 34711
Simulation 27: Sequential = 21955 | Prefix = 63132
Simulation 28: Sequential = 31912 | Prefix = 25085
Simulation 29: Sequential = 99343 | Prefix = 96710
Simulation 30: Sequential = 25095 | Prefix = 15569
Simulation 31: Sequential = 26580 | Prefix = 17431
Simulation 32: Sequential = 69819 | Prefix = 46233
Simulation 33: Sequential = 71364 | Prefix = 53987
Simulation 34: Sequential = 21714 | Prefix = 13191
Simulation 35: Sequential = 97070 | Prefix = 53203
Simulation 36: Sequential = 45614 | Prefix = 21514
Simulation 37: Sequential = 68524 | Prefix = 30549
Simulation 38: Sequential = 63062 | Prefix = 86108
Simulation 39: Sequential = 89276 | Prefix = 89329
Simulation 40: Sequential = 57415 | Prefix = 39066
Simulation 41: Sequential = 61552 | Prefix = 36343
Simulation 42: Sequential = 74706 | Prefix = 36730
Simulation 43: Sequential = 68449 | Prefix = 82204
Simulation 44: Sequential = 43911 | Prefix = 38220
Simulation 45: Sequential = 76912 | Prefix = 49392
Simulation 46: Sequential = 16131 | Prefix = 78171
Simulation 47: Sequential = 63693 | Prefix = 86792
Simulation 48: Sequential = 96131 | Prefix = 55205
Simulation 49: Sequential = 70926 | Prefix = 52652
Simulation 50: Sequential = 76506 | Prefix = 43669
Simulation 51: Sequential = 10004 | Prefix = 6157
Simulation 52: Sequential = 76722 | Prefix = 46941
Simulation 53: Sequential = 72070 | Prefix = 42234
Simulation 54: Sequential = 15882 | Prefix = 10470
Simulation 55: Sequential = 79628 | Prefix = 93582
Simulation 56: Sequential = 28066 | Prefix = 77808
Simulation 57: Sequential = 60625 | Prefix = 35072
Simulation 58: Sequential = 25627 | Prefix = 61662
Simulation 59: Sequential = 24081 | Prefix = 66411
Simulation 60: Sequential = 72569 | Prefix = 39093
Simulation 61: Sequential = 52390 | Prefix = 38251
Simulation 62: Sequential = 11699 | Prefix = 69652
Simulation 63: Sequential = 55198 | Prefix = 32752
Simulation 64: Sequential = 10848 | Prefix = 5833
Simulation 65: Sequential = 22121 | Prefix = 61575
Simulation 66: Sequential = 72417 | Prefix = 88780
Simulation 67: Sequential = 70424 | Prefix = 86511
Simulation 68: Sequential = 46933 | Prefix = 72295
Simulation 69: Sequential = 42138 | Prefix = 24117
Simulation 70: Sequential = 19900 | Prefix = 63557
Simulation 71: Sequential = 3965 | Prefix = 50710
Simulation 72: Sequential = 23186 | Prefix = 67474
Simulation 73: Sequential = 46978 | Prefix = 20556
Simulation 74: Sequential = 82077 | Prefix = 43641
Simulation 75: Sequential = 17722 | Prefix = 14939
Simulation 76: Sequential = 16246 | Prefix = 9589
Simulation 77: Sequential = 8091 | Prefix = 8091
Simulation 78: Sequential = 63105 | Prefix = 88714
Simulation 79: Sequential = 46895 | Prefix = 30586
Simulation 80: Sequential = 48043 | Prefix = 84417
Simulation 81: Sequential = 9188 | Prefix = 58036
Simulation 82: Sequential = 5588 | Prefix = 2406
Simulation 83: Sequential = 60232 | Prefix = 28739
Simulation 84: Sequential = 65884 | Prefix = 54390
Simulation 85: Sequential = 48965 | Prefix = 19151
Simulation 86: Sequential = 18089 | Prefix = 13129
Simulation 87: Sequential = 26594 | Prefix = 16358
Simulation 88: Sequential = 59793 | Prefix = 81964
Simulation 89: Sequential = 54952 | Prefix = 67159
Simulation 90: Sequential = 35604 | Prefix = 16849
Simulation 91: Sequential = 96998 | Prefix = 49405
Simulation 92: Sequential = 96288 | Prefix = 98750
Simulation 93: Sequential = 56872 | Prefix = 29080
Simulation 94: Sequential = 99534 | Prefix = 96231
Simulation 95: Sequential = 52919 | Prefix = 88515
Simulation 96: Sequential = 2037 | Prefix = 2037
Simulation 97: Sequential = 95273 | Prefix = 51961
Simulation 98: Sequential = 50718 | Prefix = 32557
Simulation 99: Sequential = 91918 | Prefix = 99899
Simulation 100: Sequential = 20836 | Prefix = 81954
Simulation 101: Sequential = 24974 | Prefix = 16041
Simulation 102: Sequential = 89547 | Prefix = 94548
Simulation 103: Sequential = 20365 | Prefix = 12548
Simulation 104: Sequential = 89402 | Prefix = 61631
Simulation 105: Sequential = 23231 | Prefix = 69847
Simulation 106: Sequential = 8686 | Prefix = 65408
Simulation 107: Sequential = 24172 | Prefix = 18108
Simulation 108: Sequential = 72809 | Prefix = 84088
Simulation 109: Sequential = 61923 | Prefix = 77726
Simulation 110: Sequential = 63788 | Prefix = 85506
Simulation 111: Sequential = 53794 | Prefix = 77488
Simulation 112: Sequential = 93580 | Prefix = 92215
Simulation 113: Sequential = 15404 | Prefix = 15404
Simulation 114: Sequential = 17645 | Prefix = 10488
Simulation 115: Sequential = 14909 | Prefix = 14909
Simulation 116: Sequential = 68709 | Prefix = 94105
Simulation 117: Sequential = 24217 | Prefix = 73484
Simulation 118: Sequential = 35708 | Prefix = 24131
Simulation 119: Sequential = 48777 | Prefix = 43902
Simulation 120: Sequential = 44966 | Prefix = 82915
Simulation 121: Sequential = 49155 | Prefix = 13980
Simulation 122: Sequential = 40498 | Prefix = 25984
Simulation 123: Sequential = 16044 | Prefix = 9690
Simulation 124: Sequential = 89105 | Prefix = 90250
Simulation 125: Sequential = 34641 | Prefix = 57033
Simulation 126: Sequential = 17388 | Prefix = 56094
Simulation 127: Sequential = 27669 | Prefix = 73053
Simulation 128: Sequential = 47007 | Prefix = 33902
Simulation 129: Sequential = 72531 | Prefix = 43983
Simulation 130: Sequential = 79219 | Prefix = 43656
Simulation 131: Sequential = 19823 | Prefix = 68343
Simulation 132: Sequential = 68736 | Prefix = 82702
Simulation 133: Sequential = 91471 | Prefix = 53474
Simulation 134: Sequential = 41490 | Prefix = 27515
Simulation 135: Sequential = 56288 | Prefix = 29697
Simulation 136: Sequential = 79817 | Prefix = 47499
Simulation 137: Sequential = 87658 | Prefix = 98720
Simulation 138: Sequential = 87269 | Prefix = 96924
Simulation 139: Sequential = 12331 | Prefix = 3854
Simulation 140: Sequential = 9131 | Prefix = 66999
Simulation 141: Sequential = 39301 | Prefix = 68340
Simulation 142: Sequential = 67696 | Prefix = 82591
Simulation 143: Sequential = 51850 | Prefix = 32345
Simulation 144: Sequential = 989 | Prefix = 62706
Simulation 145: Sequential = 26160 | Prefix = 12218
Simulation 146: Sequential = 13805 | Prefix = 58115
Simulation 147: Sequential = 72716 | Prefix = 85998
Simulation 148: Sequential = 33562 | Prefix = 9490
Simulation 149: Sequential = 15915 | Prefix = 72561
Simulation 150: Sequential = 32573 | Prefix = 21010
Simulation 151: Sequential = 92454 | Prefix = 53636
Simulation 152: Sequential = 55855 | Prefix = 19999
Simulation 153: Sequential = 29874 | Prefix = 61446
Simulation 154: Sequential = 63443 | Prefix = 82403
Simulation 155: Sequential = 76123 | Prefix = 91837
Simulation 156: Sequential = 40668 | Prefix = 27367
Simulation 157: Sequential = 12200 | Prefix = 72398
Simulation 158: Sequential = 73973 | Prefix = 80503
Simulation 159: Sequential = 40842 | Prefix = 16668
Simulation 160: Sequential = 97834 | Prefix = 55257
Simulation 161: Sequential = 28320 | Prefix = 80972
Simulation 162: Sequential = 21948 | Prefix = 81077
Simulation 163: Sequential = 19756 | Prefix = 63671
Simulation 164: Sequential = 80988 | Prefix = 39740
Simulation 165: Sequential = 35229 | Prefix = 6898
Simulation 166: Sequential = 11805 | Prefix = 62786
Simulation 167: Sequential = 26461 | Prefix = 8263
Simulation 168: Sequential = 5577 | Prefix = 1418
Simulation 169: Sequential = 27963 | Prefix = 77854
Simulation 170: Sequential = 97383 | Prefix = 60574
Simulation 171: Sequential = 37723 | Prefix = 73723
Simulation 172: Sequential = 60553 | Prefix = 80677
Simulation 173: Sequential = 88637 | Prefix = 42959
Simulation 174: Sequential = 99417 | Prefix = 95792
Simulation 175: Sequential = 52771 | Prefix = 29912
Simulation 176: Sequential = 76286 | Prefix = 35900
Simulation 177: Sequential = 50955 | Prefix = 36172
Simulation 178: Sequential = 72262 | Prefix = 42869
Simulation 179: Sequential = 40617 | Prefix = 25047
Simulation 180: Sequential = 95462 | Prefix = 60568
Simulation 181: Sequential = 61761 | Prefix = 33017
Simulation 182: Sequential = 16648 | Prefix = 15574
Simulation 183: Sequential = 96913 | Prefix = 98308
Simulation 184: Sequential = 67079 | Prefix = 55574
Simulation 185: Sequential = 306 | Prefix = 306
Simulation 186: Sequential = 91230 | Prefix = 46028
Simulation 187: Sequential = 82737 | Prefix = 92888
Simulation 188: Sequential = 39824 | Prefix = 36295
Simulation 189: Sequential = 35152 | Prefix = 23931
Simulation 190: Sequential = 64898 | Prefix = 76631
Simulation 191: Sequential = 86100 | Prefix = 90103
Simulation 192: Sequential = 38549 | Prefix = 24382
Simulation 193: Sequential = 7430 | Prefix = 59601
Simulation 194: Sequential = 682 | Prefix = 682
Simulation 195: Sequential = 63513 | Prefix = 40015
Simulation 196: Sequential = 32399 | Prefix = 16896
Simulation 197: Sequential = 42097 | Prefix = 80533
Simulation 198: Sequential = 15893 | Prefix = 6964
Simulation 199: Sequential = 71798 | Prefix = 63942
Simulation 200: Sequential = 18317 | Prefix = 53213

=== FINAL RESULTS ===
Wins:
Sequential: 77
Prefix: 114
Ties: 9