user15543: While chess problems and such are usually meant for Puzzling Stack Exchange, I thought that this one should be an exception since it’s more relevant IMHO.
Resetting the 50-move rule, i.e. restart the 100 ply cycle, requires either a pawn push or a capture. Checkmate does not restart it of course.
[Title "Geir Sune Tallaksen Østmoe, MatPlus.net Forum 8/14/2013, White To Move"]
[FEN "1K6/2p5/p5pr/q2k3n/P1pPp1rP/1pP1PpPR/1P3P1B/3N3N w - - 0 1"]

Given that White is playing to reset the 50-move rule and Black is trying to avoid it, how many moves will it take to for White to reset the 50-move rule?  Or, in layman’s terms, after how many moves can White make a capture or a pawn moves while Black avoids doing or allowing that to happen?

user15543: Since no one has managed to solve this problem entirely, here is the answer. Credit goes to @NoseKnowsAll and @Scrounged in the comments for identifying the mechanism White uses to force the reset. This answer merely shows how White can avoid a perpetual check by Black.
[Title "Geir Sune Tallaksen Østmoe, MatPlus.net Forum 8/14/2013, White To Move"]
[FEN "1K6/2p5/p5pr/q2k3n/P1pPp1rP/1pP1PpPR/1P3P1B/3N3N w - - 0 1"]

1. Kc8 Rh8+ 2. Kd7 Rh7+ 3. Ke8 Rh8+ 4. Kf7 Rh7+ 5. Kg8 Nf6+ 6. Kf8 Nd7+ 7. Ke8 Nf6+ 8. Kd8 Nh5 9. Bg1 Rh8+ 10. Kd7 Rh7+ 11. Ke8 Rh8+ 12. Kf7 Rh7+ 13. Kg8 Nf6+ 14. Kf8 Nd7+ 15. Ke8 Nf6+ 16. Kd8 Nh5 17. Rh2 Rh8+ 18. Kd7 Rh7+ 19. Ke8 Rh8+ 20. Kf7 Rh7+ 21. Kg8 Nf6+ 22. Kf8 Nd7+ 23. Ke8 Nf6+ 24. Kd8 Nh5 25. Rg2 Rh8+ 26. Kd7 Rh7+ 27. Ke8 Rh8+ 28. Kf7 Rh7+ 29. Kg8 Nf6+ 30. Kf8 Nd7+ 31. Ke8 Nf6+ 32. Kd8 Nh5 33. Bh2 Rh8+ 34. Kd7 Rh7+ 35. Ke8 Rh8+ 36. Kf7 Rh7+ 37. Kg8 Nf6+ 38. Kf8 Nd7+ 39. Ke8 Nf6+ 40. Kd8 Nh5 41. Rg1 Rh8+ 42. Kd7 Rh7+ 43. Ke8 Rh8+ 44. Kf7 Rh7+ 45. Kg8 Nf6+ 46. Kf8 Nd7+ 47. Ke8 Nf6+ 48. Kd8 Nh5 49. Re1 Rh8+ 50. Kd7 Rh7+ 51. Ke8 Rh8+ 52. Kf7 Rh7+ 53. Kg8 Nf6+ 54. Kf8 Nd7+ 55. Ke8 Nf6+ 56. Kd8 Nh5 57. Re2 Rh8+ 58. Kd7 Rh7+ 59. Ke8 Rh8+ 60. Kf7 Rh7+ 61. Kg8 Nf6+ 62. Kf8 Nd7+ 63. Ke8 Nf6+ 64. Kd8 Nh5 65. Rc2 Rh8+ 66. Kd7 Rh7+ 67. Ke8 Rh8+ 68. Kf7 Rh7+ 69. Kg8 Nf6+ 70. Kf8 Nd7+ 71. Ke8 Nf6+ 72. Kd8 Nh5 73. Rc1 Rh8+ 74. Kd7 Rh7+ 75. Ke8 Rh8+ 76. Kf7 Rh7+ 77. Kg8 Nf6+ 78. Kf8 Nd7+ 79. Ke8 Nf6+ 80. Kd8 Nh5 81. Ra1 Rh8+ 82. Kd7 Rh7+ 83. Ke8 Rh8+ 84. Kf7 Rh7+ 85. Kg8 Nf6+ 86. Kf8 Nd7+ 87. Ke8 Nf6+ 88. Kd8 Nh5 89. Ra3 Rh8+ 90. Kd7 Rh7+ 91. Ke8 Rh8+ 92. Kf7 Rh7+ 93. Kg8 Nf6+ 94. Kf8 Nd7+ 95. Ke8 Nf6+ 96. Kd8 Rh8+ 97. Ke7 Ng8+ 98. Kf7 Nh6+ 99. Kg7 Rg8+ 100. Kxh6


15543: <p>While chess problems and such are usually meant for Puzzling Stack Exchange, I thought that this one should be an exception since it’s more relevant IMHO.</p>
<p>Resetting the 50-move rule, i.e. restart the 100 ply cycle, requires either a pawn push or a capture. Checkmate does not restart it of course.</p>
<pre><code>[Title &quot;Geir Sune Tallaksen Østmoe, MatPlus.net Forum 8/14/2013, White To Move&quot;]
[FEN &quot;1K6/2p5/p5pr/q2k3n/P1pPp1rP/1pP1PpPR/1P3P1B/3N3N w - - 0 1&quot;]
</code></pre>
<p>Given that White is playing to reset the 50-move rule and Black is trying to avoid it, how many moves will it take to for White to reset the 50-move rule?  Or, in layman’s terms, after how many moves can White make a capture or a pawn moves while Black avoids doing or allowing that to happen?</p>
 15543: <p>Since no one has managed to solve this problem entirely, here is the answer. Credit goes to @NoseKnowsAll and @Scrounged in the comments for identifying the mechanism White uses to force the reset. This answer merely shows how White can avoid a perpetual check by Black.</p>
<pre><code>[Title &quot;Geir Sune Tallaksen Østmoe, MatPlus.net Forum 8/14/2013, White To Move&quot;]
[FEN &quot;1K6/2p5/p5pr/q2k3n/P1pPp1rP/1pP1PpPR/1P3P1B/3N3N w - - 0 1&quot;]

1. Kc8 Rh8+ 2. Kd7 Rh7+ 3. Ke8 Rh8+ 4. Kf7 Rh7+ 5. Kg8 Nf6+ 6. Kf8 Nd7+ 7. Ke8 Nf6+ 8. Kd8 Nh5 9. Bg1 Rh8+ 10. Kd7 Rh7+ 11. Ke8 Rh8+ 12. Kf7 Rh7+ 13. Kg8 Nf6+ 14. Kf8 Nd7+ 15. Ke8 Nf6+ 16. Kd8 Nh5 17. Rh2 Rh8+ 18. Kd7 Rh7+ 19. Ke8 Rh8+ 20. Kf7 Rh7+ 21. Kg8 Nf6+ 22. Kf8 Nd7+ 23. Ke8 Nf6+ 24. Kd8 Nh5 25. Rg2 Rh8+ 26. Kd7 Rh7+ 27. Ke8 Rh8+ 28. Kf7 Rh7+ 29. Kg8 Nf6+ 30. Kf8 Nd7+ 31. Ke8 Nf6+ 32. Kd8 Nh5 33. Bh2 Rh8+ 34. Kd7 Rh7+ 35. Ke8 Rh8+ 36. Kf7 Rh7+ 37. Kg8 Nf6+ 38. Kf8 Nd7+ 39. Ke8 Nf6+ 40. Kd8 Nh5 41. Rg1 Rh8+ 42. Kd7 Rh7+ 43. Ke8 Rh8+ 44. Kf7 Rh7+ 45. Kg8 Nf6+ 46. Kf8 Nd7+ 47. Ke8 Nf6+ 48. Kd8 Nh5 49. Re1 Rh8+ 50. Kd7 Rh7+ 51. Ke8 Rh8+ 52. Kf7 Rh7+ 53. Kg8 Nf6+ 54. Kf8 Nd7+ 55. Ke8 Nf6+ 56. Kd8 Nh5 57. Re2 Rh8+ 58. Kd7 Rh7+ 59. Ke8 Rh8+ 60. Kf7 Rh7+ 61. Kg8 Nf6+ 62. Kf8 Nd7+ 63. Ke8 Nf6+ 64. Kd8 Nh5 65. Rc2 Rh8+ 66. Kd7 Rh7+ 67. Ke8 Rh8+ 68. Kf7 Rh7+ 69. Kg8 Nf6+ 70. Kf8 Nd7+ 71. Ke8 Nf6+ 72. Kd8 Nh5 73. Rc1 Rh8+ 74. Kd7 Rh7+ 75. Ke8 Rh8+ 76. Kf7 Rh7+ 77. Kg8 Nf6+ 78. Kf8 Nd7+ 79. Ke8 Nf6+ 80. Kd8 Nh5 81. Ra1 Rh8+ 82. Kd7 Rh7+ 83. Ke8 Rh8+ 84. Kf7 Rh7+ 85. Kg8 Nf6+ 86. Kf8 Nd7+ 87. Ke8 Nf6+ 88. Kd8 Nh5 89. Ra3 Rh8+ 90. Kd7 Rh7+ 91. Ke8 Rh8+ 92. Kf7 Rh7+ 93. Kg8 Nf6+ 94. Kf8 Nd7+ 95. Ke8 Nf6+ 96. Kd8 Rh8+ 97. Ke7 Ng8+ 98. Kf7 Nh6+ 99. Kg7 Rg8+ 100. Kxh6
</code></pre>
