最小集合

northwolves

{105,8,{19,29,36,47,50,72,73,74}}——105只有1个解？

{4,25,48,55,57,68,72,73}
{5,26,49,56,58,69,73,74}
{6,27,50,57,59,70,74,75}

王守恩

northwolves 发表于 2025-12-10 20:19
{105,8,{19,29,36,47,50,72,73,74}}——105只有1个解？

{4,25,48,55,57,68,72,73}

75,{01,02,06,17,19,26,49,70},——75的时候就可以知道能到达107。
76,{02,03,07,18,20,27,50,71},
77,{03,04,08,19,21,28,51,72},
78,{04,05,09,20,22,29,52,73},
79,{05,06,10,21,23,30,53,74},
80,{06,07,11,22,24,31,54,75},
81,{07,08,12,23,25,32,55,76},
82,{08,09,13,24,26,33,56,77},
83,{09,10,14,25,27,34,57,78},
84,{10,11,15,26,28,35,58,79},
85,{11,12,16,27,29,36,59,80},
86,{12,13,17,28,30,37,60,81},
87,{13,14,18,29,31,38,61,82},
88,{14,15,19,30,32,39,62,83},
89,{15,16,20,31,33,40,63,84},
90,{16,17,21,32,34,41,64,85},
91,{17,18,22,33,35,42,65,86},
92,{18,19,23,34,36,43,66,87},
93,{19,20,24,35,37,44,67,88},
94,{20,21,25,36,28,45,68,89},
95,{21,22,26,37,39,46,69,90},
96,{22,23,27,38,40,47,70,91},
97,{23,24,28,39,41,48,71,92},
98,{24,25,29,40,42,49,72,93},
99,{25,26,30,41,43,50,73,94},
100,{26,27,31,42,44,51,74,95},
101,{27,28,32,43,45,52,75,96},
102,{28,29,33,44,46,53,76,97},
103,{29,30,34,45,47,54,77,98},
104,{30,31,35,46,48,55,78,99},
105,{31,32,36,47,49,56,79,100},
106,{32,33,37,48,50,57,80,101},
107,{33,34,38,49,51,58,81,102},——{6,27,50,57,59,70,74,75}的补集。

王守恩

继续整理。

只能利用——帖子《求{1, 2, ..., 100}没有等和对的最大子集》里面的数字串——谢谢mathe！！！

a (1) = 1, {1},
a (2) = 2, {1, 2},
a (5) = 3, {2, 3, 4},
a (13) = 4, {3, 5, 6, 10}
a (28) = 5, {7, 14, 15, 18, 20}
a (49) = 6, {12, 17, 24, 26, 34, 35}
a (79) = 7, {9, 34, 38, 40, 45, 48, 64}——79 有4个解。
a (107) = 8, {6, 27, 50, 57, 59, 70, 74, 75} ——107 只有1个解？
a (129) = 9, {28, 36, 48, 50, 73, 79, 80, 90, 106}
a (161) = 10, {46, 47, 59, 74, 78, 89, 92, 94, 118, 128}
a (195) = 11, {41, 56, 59, 82, 86, 90, 102, 121, 126, 140, 154}
a (217) = 12, {54, 62, 77, 99, 104, 105, 106, 138, 154, 163, 184, 201}
a (259) = 13, {54, 69, 85, 94, 101, 103, 105, 147, 148, 171, 177, 185, 212}
a (333) = 14, {19, 31, 76, 100, 124, 125, 126, 162, 208, 213, 216, 222, 235, 287}
a (405) = 15, {32, 93, 118, 126, 130, 134, 141, 148, 223, 225, 244, 254, 263, 289, 306}