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  • 单位分数 42项解

    问题见:

    http://www.mysanco.com/index.php?class=wenku&action=wenku_item&id=11&type=wb

    程序找到的解:

    17,19,20,21,22,24,26,27,30,32,33,34,35,36,39,40,42,44,48,50,52,54,55,56,57,60,63,66,70,72,75,76,77,78,80,84,85,88,90,91,96,99
    17,18,19,21,22,24,26,27,30,32,33,34,35,39,40,42,44,45,48,50,52,54,55,56,57,60,63,66,70,72,75,76,77,78,80,84,85,88,90,91,96,99
    14,17,21,22,24,26,27,28,30,32,33,34,35,36,38,39,40,44,48,50,52,54,55,56,60,63,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    12,17,21,22,24,26,27,30,32,33,34,35,36,38,39,40,42,44,48,50,52,54,55,56,60,63,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    17,18,19,22,24,26,27,28,30,32,33,34,35,36,39,40,42,44,45,48,50,52,54,55,56,57,60,66,70,72,75,76,77,78,80,84,85,88,90,91,96,99
    17,18,20,21,22,24,26,27,28,30,32,33,34,38,39,40,44,45,48,50,52,54,55,56,60,63,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    17,18,20,21,22,24,26,27,30,32,33,34,35,38,39,40,42,44,45,48,50,52,54,55,56,63,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    17,18,20,21,22,24,26,27,30,32,33,34,36,38,39,40,42,44,45,48,50,52,54,55,56,60,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    15,17,18,21,22,24,26,27,32,33,34,35,38,39,40,42,44,45,48,50,52,54,55,56,60,63,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    13,17,18,21,22,24,26,27,32,33,34,35,38,40,42,44,45,48,50,52,54,55,56,60,63,65,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    15,17,20,21,22,24,26,27,32,33,34,35,36,38,39,40,42,44,48,50,52,54,55,56,60,63,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    17,18,20,21,22,24,26,27,32,33,34,35,36,38,39,40,42,44,45,48,50,52,54,55,56,60,63,66,70,72,75,76,77,78,80,84,85,88,91,95,96,99
    15,17,20,21,22,24,26,30,32,33,34,35,36,38,39,40,42,44,45,48,50,52,55,56,60,63,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    15,17,20,21,22,26,27,30,32,33,34,35,36,38,39,40,42,44,45,48,50,52,54,55,56,60,63,66,70,75,76,77,78,80,84,85,88,90,91,95,96,99
    13,17,20,21,22,24,26,27,32,33,34,35,36,38,40,42,44,48,50,52,54,55,56,60,63,65,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    17,18,21,22,24,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,48,50,52,54,55,56,60,66,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    17,18,20,22,24,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,48,50,52,54,55,56,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    15,17,18,22,24,26,27,28,32,33,34,35,36,38,39,40,42,44,45,48,50,52,54,55,56,60,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    13,17,18,22,24,26,27,28,32,33,34,35,36,38,40,42,44,45,48,50,52,54,55,56,60,65,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    15,17,20,21,24,26,27,30,32,33,34,35,36,38,39,40,42,44,45,48,50,52,54,55,56,60,63,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96
    13,17,20,21,24,26,27,30,32,33,34,35,36,38,40,42,44,45,48,50,52,54,55,56,60,63,65,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96
    13,17,20,21,22,24,26,30,32,33,34,35,36,38,40,42,44,45,48,50,52,55,56,60,63,65,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    13,17,20,21,22,26,27,30,32,33,34,35,36,38,40,42,44,45,48,50,52,54,55,56,60,63,65,66,70,75,76,77,78,80,84,85,88,90,91,95,96,99
    15,17,20,22,24,26,27,28,30,32,33,34,35,38,39,40,42,44,45,48,50,52,54,55,56,60,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    13,17,20,22,24,26,27,28,30,32,33,34,35,38,40,42,44,45,48,50,52,54,55,56,60,65,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99
    

      

     另找到:

    17,18,20,21,22,24,26,27,30,32,33,34,35,38,39,40,42,44,45,48,50,54,55,56,60,63,65,66,70,72,75,76,77,80,84,85,88,90,91,95,96,99
    17,18,20,22,24,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,48,50,54,55,56,60,65,66,70,72,75,76,77,80,84,85,88,90,91,95,96,99
    

      

    15,17,20,21,22,26,27,30,32,33,34,35,36,38,39,40,42,44,45,48,50,52,54,55,56,60,63,66,70,75,76,77,78,80,84,85,88,90,91,95,96,99
    

      

     相比:

    1/19+1/24+1/57+1/72=1/15+1/38+1/45+1/95
    1/18+1/19+1/24+1/57+1/72=1/15+1/20+1/36+1/38+1/95
    1/14+1/24+1/28+1/72=1/15+1/20+1/42+1/45
    1/12+1/24+1/72=1/15+1/20+1/45
    1/18+1/19+1/24+1/28+1/57+1/72=1/15+1/20+1/21+1/38+1/63+1/95
    1/18+1/24+1/28+1/72=1/15+1/35+1/36+1/42
    1/18+1/24+1/72=1/15+1/36+1/60
    1/18+1/24+1/72=1/15+1/35+1/63
    1/18+1/24+1/72=1/20+1/30+1/36
    1/13+1/18+1/24+1/65+1/72=1/15+1/20+1/30+1/36+1/39
    1/24+1/72=1/30+1/45
    1/18+1/24+1/72=1/15+1/30+1/90
    1/24+1/72=1/27+1/54
     ==
    1/13+1/24+1/65+1/72=1/15+1/30+1/39+1/45
    1/18+1/24+1/28+1/72=1/15+1/20+1/63+1/70
    1/18+1/24+1/28+1/72=1/15+1/21+1/60+1/63
    1/18+1/24+1/28+1/72=1/20+1/21+1/30+1/63
    1/13+1/18+1/24+1/28+1/65+1/72=1/15+1/20+1/21+1/30+1/39+1/63
    1/24+1/72=1/22+1/99
    1/13+1/24+1/65+1/72=1/15+1/22+1/39+1/99
    1/13+1/24+1/65+1/72=1/15+1/27+1/39+1/54
    1/13+1/65=1/15+1/39
    1/24+1/28+1/72=1/21+1/36+1/63
    1/13+1/24+1/28+1/65+1/72=1/15+1/21+1/36+1/39+1/63

      

    1/18+1/24+1/65+1/72=1/15+1/36+1/52+1/78
    1/18+1/24+1/28+1/65+1/72=1/15+1/21+1/52+1/63+1/78
    

      

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  • 原文地址:https://www.cnblogs.com/huigll/p/2658822.html
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