奇妙的加法

王守恩

来个世界难题。

\(\sin a_{1}^\circ+\sin a_{2}^\circ+\sin a_{3}^\circ+\sin a_{4}^\circ=\sin a_{5}^\circ+\sin a_{6}^\circ+\sin a_{7}^\circ+\sin a_{8}^\circ\) 有多少组解。


\(a_{1},a_{2},a_{3},a_{4}, a_{5},a_{6},a_{7},a_{8}\) 是8个互异正整数, \(0<a_{1}<a_{2}<a_{3}<a_{4}≤90,a_{1}< a_{5}<a_{6}<a_{7}<a_{8}≤90\)

王守恩

三角函数加法可以玩成普通加法！——挺诱人！！——跟世界杯一样诱人！！！

1 - 90 互异角—— sin加法恒等式

   [2 = 1] 30 组——2 = 左, 1 = 右
01 + 59 = 61
02 + 58 = 62
03 + 57 = 63
04 + 56 = 64
05 + 55 = 65
06 + 54 = 66
07 + 53 = 67
08 + 52 = 68
09 + 51 = 69
10 + 50 = 70
11 + 49 = 71
12 + 48 = 72
13 + 47 = 73
14 + 46 = 74
15 + 45 = 75
16 + 44 = 76
17 + 43 = 77
18 + 30 = 54
18 + 42 = 78
19 + 41 = 79
20 + 40 = 80
21 + 39 = 81
22 + 38 = 82
23 + 37 = 83
24 + 36 = 84
25 + 35 = 85
26 + 34 = 86
27 + 33 = 87
28 + 32 = 88
29 + 31 = 89
   [3 = 2] 19 组——3 = 左, 2 = 右
01 + 35 + 73 = 37 + 71
02 + 34 + 74 = 38 + 70
03 + 33 + 75 = 39 + 69
04 + 32 + 76 = 40 + 68
05 + 31 + 77 = 41 + 67
06 + 18 + 90 = 30 + 66
06 + 30 + 78 = 42 + 66
07 + 29 + 79 = 43 + 65
08 + 28 + 80 = 44 + 64
09 + 27 + 81 = 45 + 63
10 + 26 + 82 = 46 + 62
11 + 25 + 83 = 47 + 61
12 + 24 + 84 = 48 + 60
13 + 23 + 85 = 49 + 59
14 + 22 + 86 = 50 + 58
15 + 21 + 87 = 51 + 57
16 + 20 + 88 = 52 + 56
17 + 19 + 89 = 53 + 55
30 + 42 + 54 = 78 + 90

1 - 90 互异角—— sin加法恒等式。1 - 90 ——没有 0,  0 太简单,  有 0 组合会爆炸。
1 - 90 互异角—— sin加法恒等式。互异角——没有相同角，有相同角组合是无限的 。
1 - 90 互异角—— sin加法恒等式。sin —— 不用 cos,   cos 只是 90 - 。
IA帮助不大, 还得自己动手！——各位能提供类似资料！感谢不尽！

王守恩

1 - 90 互异角—— sin加法恒等式[3=3]474组。谢谢 northwolves！！！
{{1,35,73},{11,37,49}},{{1,47,59},{11,25,83}},{{1,54,59},{18,30,61}},{{1,59,62},{2,58,61}},{{1,59,63},{3,57,61}},{{1,59,64},{4,56,61}},{{1,59,65},{5,55,61}},{{1,59,66},{6,54,61}},{{1,59,67},{7,53,61}},{{1,59,68},{8,52,61}},{{1,59,69},{9,51,61}},{{1,59,70},{10,50,61}},{{1,59,71},{11,49,61}},{{1,59,72},{12,48,61}},{{1,59,73},{13,47,61}},{{1,59,74},{14,46,61}},{{1,59,75},{15,45,61}},{{1,59,76},{16,44,61}},{{1,59,77},{17,43,61}},{{1,59,78},{18,42,61}},{{1,59,79},{19,41,61}},{{1,59,80},{20,40,61}},{{1,59,81},{21,39,61}},{{1,59,82},{22,38,61}},{{1,59,83},{23,37,61}},{{1,59,84},{24,36,61}},{{1,59,85},{25,35,61}},{{1,59,86},{26,34,61}},{{1,59,87},{27,33,61}},{{1,59,88},{28,32,61}},{{1,59,89},{29,31,61}},{{1,73,85},{25,37,71}},{{2,34,74},{10,38,50}},{{2,46,58},{10,26,82}},{{2,54,58},{18,30,62}},{{2,58,63},{3,57,62}},{{2,58,64},{4,56,62}},{{2,58,65},{5,55,62}},{{2,58,66},{6,54,62}},{{2,58,67},{7,53,62}},{{2,58,68},{8,52,62}},{{2,58,69},{9,51,62}},{{2,58,70},{10,50,62}},{{2,58,71},{11,49,62}},{{2,58,72},{12,48,62}},{{2,58,73},{13,47,62}},{{2,58,74},{14,46,62}},{{2,58,75},{15,45,62}},{{2,58,76},{16,44,62}},{{2,58,77},{17,43,62}},{{2,58,78},{18,42,62}},{{2,58,79},{19,41,62}},{{2,58,80},{20,40,62}},{{2,58,81},{21,39,62}},{{2,58,82},{22,38,62}},{{2,58,83},{23,37,62}},{{2,58,84},{24,36,62}},{{2,58,85},{25,35,62}},{{2,58,86},{26,34,62}},{{2,58,87},{27,33,62}},{{2,58,88},{28,32,62}},{{2,58,89},{29,31,62}},{{2,74,86},{26,38,70}},{{3,33,75},{9,39,51}},{{3,45,57},{9,27,81}},{{3,54,57},{18,30,63}},{{3,57,64},{4,56,63}},{{3,57,65},{5,55,63}},{{3,57,66},{6,54,63}},{{3,57,67},{7,53,63}},{{3,57,68},{8,52,63}},{{3,57,69},{9,51,63}},{{3,57,70},{10,50,63}},{{3,57,71},{11,49,63}},{{3,57,72},{12,48,63}},{{3,57,73},{13,47,63}},{{3,57,74},{14,46,63}},{{3,57,75},{15,45,63}},{{3,57,76},{16,44,63}},{{3,57,77},{17,43,63}},{{3,57,78},{18,42,63}},{{3,57,79},{19,41,63}},{{3,57,80},{20,40,63}},{{3,57,81},{21,39,63}},{{3,57,82},{22,38,63}},{{3,57,83},{23,37,63}},{{3,57,84},{24,36,63}},{{3,57,85},{25,35,63}},{{3,57,86},{26,34,63}},{{3,57,87},{27,33,63}},{{3,57,88},{28,32,63}},{{3,57,89},{29,31,63}},{{3,75,87},{27,39,69}},{{4,32,76},{8,40,52}},{{4,44,56},{8,28,80}},{{4,54,56},{18,30,64}},{{4,56,65},{5,55,64}},{{4,56,66},{6,54,64}},{{4,56,67},{7,53,64}},{{4,56,68},{8,52,64}},{{4,56,69},{9,51,64}},{{4,56,70},{10,50,64}},{{4,56,71},{11,49,64}},{{4,56,72},{12,48,64}},{{4,56,73},{13,47,64}},{{4,56,74},{14,46,64}},{{4,56,75},{15,45,64}},{{4,56,76},{16,44,64}},{{4,56,77},{17,43,64}},{{4,56,78},{18,42,64}},{{4,56,79},{19,41,64}},{{4,56,80},{20,40,64}},{{4,56,81},{21,39,64}},{{4,56,82},{22,38,64}},{{4,56,83},{23,37,64}},{{4,56,84},{24,36,64}},{{4,56,85},{25,35,64}},{{4,56,86},{26,34,64}},{{4,56,87},{27,33,64}},{{4,56,88},{28,32,64}},{{4,56,89},{29,31,64}},{{4,76,88},{28,40,68}},{{5,31,77},{7,41,53}},{{5,43,55},{7,29,79}},{{5,54,55},{18,30,65}},{{5,55,66},{6,54,65}},{{5,55,67},{7,53,65}},{{5,55,68},{8,52,65}},{{5,55,69},{9,51,65}},{{5,55,70},{10,50,65}},{{5,55,71},{11,49,65}},{{5,55,72},{12,48,65}},{{5,55,73},{13,47,65}},{{5,55,74},{14,46,65}},{{5,55,75},{15,45,65}},{{5,55,76},{16,44,65}},{{5,55,77},{17,43,65}},{{5,55,78},{18,42,65}},{{5,55,79},{19,41,65}},{{5,55,80},{20,40,65}},{{5,55,81},{21,39,65}},{{5,55,82},{22,38,65}},{{5,55,83},{23,37,65}},{{5,55,84},{24,36,65}},{{5,55,85},{25,35,65}},{{5,55,86},{26,34,65}},{{5,55,87},{27,33,65}},{{5,55,88},{28,32,65}},{{5,55,89},{29,31,65}},{{5,77,89},{29,41,67}},{{6,54,67},{7,53,66}},{{6,54,68},{8,52,66}},{{6,54,69},{9,51,66}},{{6,54,70},{10,50,66}},{{6,54,71},{11,49,66}},{{6,54,72},{12,48,66}},{{6,54,73},{13,47,66}},{{6,54,74},{14,46,66}},{{6,54,75},{15,45,66}},{{6,54,76},{16,44,66}},{{6,54,77},{17,43,66}},{{6,54,78},{18,42,66}},{{6,54,79},{19,41,66}},{{6,54,80},{20,40,66}},{{6,54,81},{21,39,66}},{{6,54,82},{22,38,66}},{{6,54,83},{23,37,66}},{{6,54,84},{24,36,66}},{{6,54,85},{25,35,66}},{{6,54,86},{26,34,66}},{{6,54,87},{27,33,66}},{{6,54,88},{28,32,66}},{{6,54,89},{29,31,66}},{{6,78,90},{30,42,66}},{{7,53,54},{18,30,67}},{{7,53,68},{8,52,67}},{{7,53,69},{9,51,67}},{{7,53,70},{10,50,67}},{{7,53,71},{11,49,67}},{{7,53,72},{12,48,67}},{{7,53,73},{13,47,67}},{{7,53,74},{14,46,67}},{{7,53,75},{15,45,67}},{{7,53,76},{16,44,67}},{{7,53,77},{17,43,67}},{{7,53,78},{18,42,67}},{{7,53,79},{19,41,67}},{{7,53,80},{20,40,67}},{{7,53,81},{21,39,67}},{{7,53,82},{22,38,67}},{{7,53,83},{23,37,67}},{{7,53,84},{24,36,67}},{{7,53,85},{25,35,67}},{{7,53,86},{26,34,67}},{{7,53,87},{27,33,67}},{{7,53,88},{28,32,67}},{{7,53,89},{29,31,67}},{{7,79,89},{31,43,65}},{{8,52,54},{18,30,68}},{{8,52,69},{9,51,68}},{{8,52,70},{10,50,68}},{{8,52,71},{11,49,68}},{{8,52,72},{12,48,68}},{{8,52,73},{13,47,68}},{{8,52,74},{14,46,68}},{{8,52,75},{15,45,68}},{{8,52,76},{16,44,68}},{{8,52,77},{17,43,68}},{{8,52,78},{18,42,68}},{{8,52,79},{19,41,68}},{{8,52,80},{20,40,68}},{{8,52,81},{21,39,68}},{{8,52,82},{22,38,68}},{{8,52,83},{23,37,68}},{{8,52,84},{24,36,68}},{{8,52,85},{25,35,68}},{{8,52,86},{26,34,68}},{{8,52,87},{27,33,68}},{{8,52,88},{28,32,68}},{{8,52,89},{29,31,68}},{{8,80,88},{32,44,64}},{{9,51,54},{18,30,69}},{{9,51,70},{10,50,69}},{{9,51,71},{11,49,69}},{{9,51,72},{12,48,69}},{{9,51,73},{13,47,69}},{{9,51,74},{14,46,69}},{{9,51,75},{15,45,69}},{{9,51,76},{16,44,69}},{{9,51,77},{17,43,69}},{{9,51,78},{18,42,69}},{{9,51,79},{19,41,69}},{{9,51,80},{20,40,69}},{{9,51,81},{21,39,69}},{{9,51,82},{22,38,69}},{{9,51,83},{23,37,69}},{{9,51,84},{24,36,69}},{{9,51,85},{25,35,69}},{{9,51,86},{26,34,69}},{{9,51,87},{27,33,69}},{{9,51,88},{28,32,69}},{{9,51,89},{29,31,69}},{{9,81,87},{33,45,63}},{{10,50,54},{18,30,70}},{{10,50,71},{11,49,70}},{{10,50,72},{12,48,70}},{{10,50,73},{13,47,70}},{{10,50,74},{14,46,70}},{{10,50,75},{15,45,70}},{{10,50,76},{16,44,70}},{{10,50,77},{17,43,70}},{{10,50,78},{18,42,70}},{{10,50,79},{19,41,70}},{{10,50,80},{20,40,70}},{{10,50,81},{21,39,70}},{{10,50,82},{22,38,70}},{{10,50,83},{23,37,70}},{{10,50,84},{24,36,70}},{{10,50,85},{25,35,70}},{{10,50,86},{26,34,70}},{{10,50,87},{27,33,70}},{{10,50,88},{28,32,70}},{{10,50,89},{29,31,70}},{{10,82,86},{34,46,62}},{{11,49,54},{18,30,71}},{{11,49,72},{12,48,71}},{{11,49,73},{13,47,71}},{{11,49,74},{14,46,71}},{{11,49,75},{15,45,71}},{{11,49,76},{16,44,71}},{{11,49,77},{17,43,71}},{{11,49,78},{18,42,71}},{{11,49,79},{19,41,71}},{{11,49,80},{20,40,71}},{{11,49,81},{21,39,71}},{{11,49,82},{22,38,71}},{{11,49,83},{23,37,71}},{{11,49,84},{24,36,71}},{{11,49,85},{25,35,71}},{{11,49,86},{26,34,71}},{{11,49,87},{27,33,71}},{{11,49,88},{28,32,71}},{{11,49,89},{29,31,71}},{{11,83,85},{35,47,61}},{{12,48,54},{18,30,72}},{{12,48,73},{13,47,72}},{{12,48,74},{14,46,72}},{{12,48,75},{15,45,72}},{{12,48,76},{16,44,72}},{{12,48,77},{17,43,72}},{{12,48,78},{18,42,72}},{{12,48,79},{19,41,72}},{{12,48,80},{20,40,72}},{{12,48,81},{21,39,72}},{{12,48,82},{22,38,72}},{{12,48,83},{23,37,72}},{{12,48,84},{24,36,72}},{{12,48,85},{25,35,72}},{{12,48,86},{26,34,72}},{{12,48,87},{27,33,72}},{{12,48,88},{28,32,72}},{{12,48,89},{29,31,72}},{{13,47,54},{18,30,73}},{{13,47,74},{14,46,73}},{{13,47,75},{15,45,73}},{{13,47,76},{16,44,73}},{{13,47,77},{17,43,73}},{{13,47,78},{18,42,73}},{{13,47,79},{19,41,73}},{{13,47,80},{20,40,73}},{{13,47,81},{21,39,73}},{{13,47,82},{22,38,73}},{{13,47,83},{23,37,73}},{{13,47,84},{24,36,73}},{{13,47,85},{25,35,73}},{{13,47,86},{26,34,73}},{{13,47,87},{27,33,73}},{{13,47,88},{28,32,73}},{{13,47,89},{29,31,73}},{{13,83,85},{37,49,59}},{{14,46,54},{18,30,74}},{{14,46,75},{15,45,74}},{{14,46,76},{16,44,74}},{{14,46,77},{17,43,74}},{{14,46,78},{18,42,74}},{{14,46,79},{19,41,74}},{{14,46,80},{20,40,74}},{{14,46,81},{21,39,74}},{{14,46,82},{22,38,74}},{{14,46,83},{23,37,74}},{{14,46,84},{24,36,74}},{{14,46,85},{25,35,74}},{{14,46,86},{26,34,74}},{{14,46,87},{27,33,74}},{{14,46,88},{28,32,74}},{{14,46,89},{29,31,74}},{{14,82,86},{38,50,58}},{{15,45,54},{18,30,75}},{{15,45,76},{16,44,75}},{{15,45,77},{17,43,75}},{{15,45,78},{18,42,75}},{{15,45,79},{19,41,75}},{{15,45,80},{20,40,75}},{{15,45,81},{21,39,75}},{{15,45,82},{22,38,75}},{{15,45,83},{23,37,75}},{{15,45,84},{24,36,75}},{{15,45,85},{25,35,75}},{{15,45,86},{26,34,75}},{{15,45,87},{27,33,75}},{{15,45,88},{28,32,75}},{{15,45,89},{29,31,75}},{{15,81,87},{39,51,57}},{{16,44,54},{18,30,76}},{{16,44,77},{17,43,76}},{{16,44,78},{18,42,76}},{{16,44,79},{19,41,76}},{{16,44,80},{20,40,76}},{{16,44,81},{21,39,76}},{{16,44,82},{22,38,76}},{{16,44,83},{23,37,76}},{{16,44,84},{24,36,76}},{{16,44,85},{25,35,76}},{{16,44,86},{26,34,76}},{{16,44,87},{27,33,76}},{{16,44,88},{28,32,76}},{{16,44,89},{29,31,76}},{{16,80,88},{40,52,56}},{{17,43,54},{18,30,77}},{{17,43,78},{18,42,77}},{{17,43,79},{19,41,77}},{{17,43,80},{20,40,77}},{{17,43,81},{21,39,77}},{{17,43,82},{22,38,77}},{{17,43,83},{23,37,77}},{{17,43,84},{24,36,77}},{{17,43,85},{25,35,77}},{{17,43,86},{26,34,77}},{{17,43,87},{27,33,77}},{{17,43,88},{28,32,77}},{{17,43,89},{29,31,77}},{{17,79,89},{41,53,55}},{{18,30,79},{19,41,54}},{{18,30,80},{20,40,54}},{{18,30,81},{21,39,54}},{{18,30,82},{22,38,54}},{{18,30,83},{23,37,54}},{{18,30,84},{24,36,54}},{{18,30,85},{25,35,54}},{{18,30,86},{26,34,54}},{{18,30,87},{27,33,54}},{{18,30,88},{28,32,54}},{{18,30,89},{29,31,54}},{{18,42,79},{19,41,78}},{{18,42,80},{20,40,78}},{{18,42,81},{21,39,78}},{{18,42,82},{22,38,78}},{{18,42,83},{23,37,78}},{{18,42,84},{24,36,78}},{{18,42,85},{25,35,78}},{{18,42,86},{26,34,78}},{{18,42,87},{27,33,78}},{{18,42,88},{28,32,78}},{{18,42,89},{29,31,78}},{{19,41,80},{20,40,79}},{{19,41,81},{21,39,79}},{{19,41,82},{22,38,79}},{{19,41,83},{23,37,79}},{{19,41,84},{24,36,79}},{{19,41,85},{25,35,79}},{{19,41,86},{26,34,79}},{{19,41,87},{27,33,79}},{{19,41,88},{28,32,79}},{{19,41,89},{29,31,79}},{{19,77,89},{43,53,55}},{{20,40,81},{21,39,80}},{{20,40,82},{22,38,80}},{{20,40,83},{23,37,80}},{{20,40,84},{24,36,80}},{{20,40,85},{25,35,80}},{{20,40,86},{26,34,80}},{{20,40,87},{27,33,80}},{{20,40,88},{28,32,80}},{{20,40,89},{29,31,80}},{{20,76,88},{44,52,56}},{{21,39,82},{22,38,81}},{{21,39,83},{23,37,81}},{{21,39,84},{24,36,81}},{{21,39,85},{25,35,81}},{{21,39,86},{26,34,81}},{{21,39,87},{27,33,81}},{{21,39,88},{28,32,81}},{{21,39,89},{29,31,81}},{{21,75,87},{45,51,57}},{{22,38,83},{23,37,82}},{{22,38,84},{24,36,82}},{{22,38,85},{25,35,82}},{{22,38,86},{26,34,82}},{{22,38,87},{27,33,82}},{{22,38,88},{28,32,82}},{{22,38,89},{29,31,82}},{{22,74,86},{46,50,58}},{{23,37,84},{24,36,83}},{{23,37,85},{25,35,83}},{{23,37,86},{26,34,83}},{{23,37,87},{27,33,83}},{{23,37,88},{28,32,83}},{{23,37,89},{29,31,83}},{{23,73,85},{47,49,59}},{{24,36,85},{25,35,84}},{{24,36,86},{26,34,84}},{{24,36,87},{27,33,84}},{{24,36,88},{28,32,84}},{{24,36,89},{29,31,84}},{{25,35,86},{26,34,85}},{{25,35,87},{27,33,85}},{{25,35,88},{28,32,85}},{{25,35,89},{29,31,85}},{{25,71,83},{47,49,61}},{{26,34,87},{27,33,86}},{{26,34,88},{28,32,86}},{{26,34,89},{29,31,86}},{{26,70,82},{46,50,62}},{{27,33,88},{28,32,87}},{{27,33,89},{29,31,87}},{{27,69,81},{45,51,63}},{{28,32,89},{29,31,88}},{{28,68,80},{44,52,64}},{{29,67,79},{43,53,65}},{{31,65,77},{41,55,67}},{{32,64,76},{40,56,68}},{{33,63,75},{39,57,69}},{{34,62,74},{38,58,70}},{{35,61,73},{37,59,71}}}}

王守恩

=== 幼儿园加法 2~6个数 ===

2个数: 0 组

3个数: 6 组
  06+54=66
  12+48=72
  18+30=54
  18+42=78
  24+36=84
  30+30=90

4个数: 3 组
  18+90=30+54
  30+78=42+54
  06+18+30=66

5个数: 5 组
  06+18+90=30+66
  06+30+78=42+66
  12+24+84=48+60
  18+18+90=54+54
  30+42+54=78+90

6个数: 40 组
  06+54+54=18+30+66
  06+54+72=12+48+66
  06+54+78=18+42+66
  06+54+84=24+36+66
  06+54+90=30+30+66
  06+78+90=30+42+66
  12+48+54=18+30+72
  12+48+78=18+42+72
  12+48+84=24+36+72
  12+48+90=30+30+72
  12+84+84=36+48+60
  18+30+84=24+36+54
  18+42+84=24+36+78
  18+42+90=30+30+78
  18+78+90=42+54+54
  24+36+90=30+30+84
  24+72+84=48+48+60
  06+06+54+54=66+66
  06+12+48+54=66+72
  06+18+18+90=54+66
  06+18+42+54=66+78
  06+24+36+54=66+84
  06+30+30+54=66+90
  12+12+24+84=60+72
  12+12+48+48=72+72
  12+18+30+48=54+72
  12+18+42+48=72+78
  12+24+24+36=48+60
  12+24+36+48=72+84
  12+30+30+48=72+90
  18+18+30+30=54+54
  18+18+30+42=54+78
  18+18+42+42=78+78
  18+24+30+36=54+84
  18+24+36+42=78+84
  18+30+30+30=54+90
  18+30+30+42=78+90
  24+24+36+36=84+84
  24+30+30+36=84+90
  30+30+30+30=90+90

王守恩

luyuanhong 发表于 2026-6-19 09:26

7个数——12=1,24=2,36=3,48=4,60=5,72=6,84=7——sin加法恒等式。

左边的数≠右边的数。左边的数可以相同。右边的数可以相同。左边的个数≥右边的个数。左边的个数=右边的个数时,左边的第1个数＜右边的第1个数——譬如

3个数: 2 组
1+4=6—基本解1。
2+3=7—基本解2。

4个数: 0 组

5个数: 1 组
1+2+7=4+5—基本解3。

6个数8个解。
1+4+7=2+3+6
1+7+7=3+4+5
2+6+7=4+4+5
1+1+2+7=5+6
1+1+4+4=6+6
1+2+2+3=4+5
1+2+3+4=6+7
2+2+3+3=7+7

7个数？个解。

8个数？个解。

9个数？个解。

这串数——3个数,4个数,5个数,6个数,7个数,8个数,9个数,......——是个无限数字串——都由这“3个基本解”出来。

用这"3个基本解"如何出来这串数——我不知道那里短路了。问IA也来不了。求助各位！谢谢！！

王守恩

7个数还是复杂。看看6个数。——12=1,24=2,48=4,60=5,72=6,84=7。——sin加法恒等式。

2个基本解。
1+4=6—基本解1。
1+2+7=4+5—基本解2。

左边的数≠右边的数。左边的数可以相同。右边的数可以相同。左边的个数>右边的个数。左边的个数=右边的个数时,左边的第1个数＜右边的第1个数——譬如

n=3: 1 组。
  {1, 4} = {6}—基本解1。

n=4: 0 组。
n=5: 1 组。
  {1, 2, 7} = {4, 5}—基本解2。

n=6:3 组。
  {1, 1, 4, 4} = {6, 6}
  {1, 1, 2, 7} = {5, 6}
  {2, 6, 7} = {4, 4, 5}

n=7: 0 组。
n=8: 0 组。
n=9: 3 组。
  {1, 1, 1, 4, 4, 4} = {6, 6, 6}
  {1, 1, 1, 2, 4, 7} = {5, 6, 6}
  {1, 4, 4, 4, 5} = {2, 6, 6, 7}

n=10: 1 组。
  {1, 1, 2, 2, 7, 7} = {4, 4, 5, 5}

n=11: 2 组。
  {1, 1, 1, 2, 2, 7, 7} = {4, 5, 5, 6}
  {1, 2, 2, 6, 7, 7} = {4, 4, 4, 5, 5}

n=12: 5 组。
  {1, 1, 1, 1, 4, 4, 4, 4} = {6, 6, 6, 6}
  {1, 1, 1, 1, 2, 4, 4, 7} = {5, 6, 6, 6}
  {1, 1, 4, 4, 4, 4, 5} = {2, 6, 6, 6, 7}
  {1, 1, 1, 1, 2, 2, 7, 7} = {5, 5, 6, 6}
  {2, 2, 6, 6, 7, 7} = {4, 4, 4, 4, 5, 5}

n=13: 0 组。
n=14: 0 组。
n=15: 6 组。
  {1, 1, 1, 1, 1, 4, 4, 4, 4, 4} = {6, 6, 6, 6, 6}
  {1, 1, 1, 1, 1, 2, 4, 4, 4, 7} = {5, 6, 6, 6, 6}
  {1, 1, 1, 4, 4, 4, 4, 4, 5} = {2, 6, 6, 6, 6, 7}
  {1, 1, 1, 1, 1, 2, 2, 4, 7, 7} = {5, 5, 6, 6, 6}
  {1, 1, 1, 2, 2, 2, 7, 7, 7} = {4, 4, 4, 5, 5, 5}
  {1, 4, 4, 4, 4, 4, 5, 5} = {2, 2, 6, 6, 6, 7, 7}

n=16: 2 组。
  {1, 1, 1, 1, 2, 2, 2, 7, 7, 7} = {4, 4, 5, 5, 5, 6}
  {1, 1, 2, 2, 2, 6, 7, 7, 7} = {4, 4, 4, 4, 5, 5, 5}

n=17: 2 组。
  {1, 1, 1, 1, 1, 2, 2, 2, 7, 7, 7} = {4, 5, 5, 5, 6, 6}
  {1, 2, 2, 2, 6, 6, 7, 7, 7} = {4, 4, 4, 4, 4, 5, 5, 5}

n=18: 7 组。
  {1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4} = {6, 6, 6, 6, 6, 6}
  {1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 7} = {5, 6, 6, 6, 6, 6}
  {1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 5} = {2, 6, 6, 6, 6, 6, 7}
  {1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 7, 7} = {5, 5, 6, 6, 6, 6}
  {1, 1, 1, 1, 1, 1, 2, 2, 2, 7, 7, 7} = {5, 5, 5, 6, 6, 6}
  {2, 2, 2, 6, 6, 6, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 5, 5, 5}
  {1, 1, 4, 4, 4, 4, 4, 4, 5, 5} = {2, 2, 6, 6, 6, 6, 7, 7}

n=19: 0 组。
n=20: 1 组。
n=21: 9 组。
n=22: 2 组。
n=23: 2 组。
n=24: 9 组。
n=25: 1 组。
n=22: ? 组。
n=23: ? 组。
n=24: ? 组。
n=25: ? 组。

从某个数(n=19？)开始都可以有解。
这个是无限数字串——都由 “2个基本解” 出来。
这串数——{0, 0, 1, 0, 1, 3, 0, 0, 3, 1, 2, 5, 0, 0, 6, 2, 2, 7, 0, 1, 9, 2, 2, 9, 1, ......

往前我还是走不了。各位！谈谈你的想法！！谢谢！！！

王守恩

打打气——来个有完美结论的。8个数——10=1,20=2,30=3,40=4,50=5,70=7,80=8,90=9——sin加法恒等式。

3个基本解。
1+5=7—基本解1。
2+4=8—基本解2。
3+3=9—基本解3。

左边的数≠右边的数。左边的数可以相同。右边的数可以相同。左边的个数>右边的个数。左边的个数=右边的个数时,左边的第1个数＜右边的第1个数——譬如

n=3: 3组。
{1, 5} = {7}
{2, 4} = {8}
{3, 3} = {9}

n=6: 9 组。
{1, 1, 5, 5} = {7, 7}
{1, 2, 4, 5} = {7, 8}
{1, 5, 8} = {2, 4, 7}
{1, 3, 3, 5} = {7, 9}
{1, 5, 9} = {3, 3, 7}
{2, 2, 4, 4} = {8, 8}
{2, 3, 3, 4} = {8, 9}
{2, 4, 9} = {3, 3, 8}
{3, 3, 3, 3} = {9, 9}

n=9: 19 组。
{1, 1, 1, 5, 5, 5} = {7, 7, 7}
{1, 1, 2, 4, 5, 5} = {7, 7, 8}
{1, 1, 5, 5, 8} = {2, 4, 7, 7}
{1, 1, 3, 3, 5, 5} = {7, 7, 9}
{1, 1, 5, 5, 9} = {3, 3, 7, 7}
{1, 2, 2, 4, 4, 5} = {7, 8, 8}
{2, 2, 4, 4, 7} = {1, 5, 8, 8}
{1, 2, 3, 3, 4, 5} = {7, 8, 9}
{1, 2, 4, 5, 9} = {3, 3, 7, 8}
{1, 3, 3, 5, 8} = {2, 4, 7, 9}
{2, 3, 3, 4, 7} = {1, 5, 8, 9}
{1, 3, 3, 3, 3, 5} = {7, 9, 9}
{3, 3, 3, 3, 7} = {1, 5, 9, 9}
{2, 2, 2, 4, 4, 4} = {8, 8, 8}
{2, 2, 3, 3, 4, 4} = {8, 8, 9}
{2, 2, 4, 4, 9} = {3, 3, 8, 8}
{2, 3, 3, 3, 3, 4} = {8, 9, 9}
{3, 3, 3, 3, 8} = {2, 4, 9, 9}
{3, 3, 3, 3, 3, 3} = {9, 9, 9}

n=12: 33 组。
{1, 1, 1, 1, 5, 5, 5, 5} = {7, 7, 7, 7}
{1, 1, 1, 2, 4, 5, 5, 5} = {7, 7, 7, 8}
{1, 1, 1, 5, 5, 5, 8} = {2, 4, 7, 7, 7}
{1, 1, 1, 3, 3, 5, 5, 5} = {7, 7, 7, 9}
{1, 1, 1, 5, 5, 5, 9} = {3, 3, 7, 7, 7}
{1, 1, 2, 2, 4, 4, 5, 5} = {7, 7, 8, 8}
{1, 1, 5, 5, 8, 8} = {2, 2, 4, 4, 7, 7}
{1, 1, 2, 3, 3, 4, 5, 5} = {7, 7, 8, 9}
{1, 1, 2, 4, 5, 5, 9} = {3, 3, 7, 7, 8}
{1, 1, 3, 3, 5, 5, 8} = {2, 4, 7, 7, 9}
{1, 1, 5, 5, 8, 9} = {2, 3, 3, 4, 7, 7}
{1, 1, 3, 3, 3, 3, 5, 5} = {7, 7, 9, 9}
{1, 1, 5, 5, 9, 9} = {3, 3, 3, 3, 7, 7}
{1, 2, 2, 2, 4, 4, 4, 5} = {7, 8, 8, 8}
{2, 2, 2, 4, 4, 4, 7} = {1, 5, 8, 8, 8}
{1, 2, 2, 3, 3, 4, 4, 5} = {7, 8, 8, 9}
{1, 2, 2, 4, 4, 5, 9} = {3, 3, 7, 8, 8}
{1, 3, 3, 5, 8, 8} = {2, 2, 4, 4, 7, 9}
{2, 2, 3, 3, 4, 4, 7} = {1, 5, 8, 8, 9}
{1, 2, 3, 3, 3, 3, 4, 5} = {7, 8, 9, 9}
{1, 2, 4, 5, 9, 9} = {3, 3, 3, 3, 7, 8}
{1, 3, 3, 3, 3, 5, 8} = {2, 4, 7, 9, 9}
{2, 3, 3, 3, 3, 4, 7} = {1, 5, 8, 9, 9}
{1, 3, 3, 3, 3, 3, 3, 5} = {7, 9, 9, 9}
{3, 3, 3, 3, 3, 3, 7} = {1, 5, 9, 9, 9}
{2, 2, 2, 2, 4, 4, 4, 4} = {8, 8, 8, 8}
{2, 2, 2, 3, 3, 4, 4, 4} = {8, 8, 8, 9}
{2, 2, 2, 4, 4, 4, 9} = {3, 3, 8, 8, 8}
{2, 2, 3, 3, 3, 3, 4, 4} = {8, 8, 9, 9}
{2, 2, 4, 4, 9, 9} = {3, 3, 3, 3, 8, 8}
{2, 3, 3, 3, 3, 3, 3, 4} = {8, 9, 9, 9}
{3, 3, 3, 3, 3, 3, 8} = {2, 4, 9, 9, 9}
{3, 3, 3, 3, 3, 3, 3, 3} = {9, 9, 9, 9}

n=15: 51 组。
{1, 1, 1, 1, 1, 5, 5, 5, 5, 5} = {7, 7, 7, 7, 7}
{1, 1, 1, 1, 2, 4, 5, 5, 5, 5} = {7, 7, 7, 7, 8}
{1, 1, 1, 1, 5, 5, 5, 5, 8} = {2, 4, 7, 7, 7, 7}
{1, 1, 1, 1, 3, 3, 5, 5, 5, 5} = {7, 7, 7, 7, 9}
{1, 1, 1, 1, 5, 5, 5, 5, 9} = {3, 3, 7, 7, 7, 7}
{1, 1, 1, 2, 2, 4, 4, 5, 5, 5} = {7, 7, 7, 8, 8}
{1, 1, 1, 5, 5, 5, 8, 8} = {2, 2, 4, 4, 7, 7, 7}
{1, 1, 1, 2, 3, 3, 4, 5, 5, 5} = {7, 7, 7, 8, 9}
{1, 1, 1, 2, 4, 5, 5, 5, 9} = {3, 3, 7, 7, 7, 8}
{1, 1, 1, 3, 3, 5, 5, 5, 8} = {2, 4, 7, 7, 7, 9}
{1, 1, 1, 5, 5, 5, 8, 9} = {2, 3, 3, 4, 7, 7, 7}
{1, 1, 1, 3, 3, 3, 3, 5, 5, 5} = {7, 7, 7, 9, 9}
{1, 1, 1, 5, 5, 5, 9, 9} = {3, 3, 3, 3, 7, 7, 7}
{1, 1, 2, 2, 2, 4, 4, 4, 5, 5} = {7, 7, 8, 8, 8}
{2, 2, 2, 4, 4, 4, 7, 7} = {1, 1, 5, 5, 8, 8, 8}
{1, 1, 2, 2, 3, 3, 4, 4, 5, 5} = {7, 7, 8, 8, 9}
{1, 1, 2, 2, 4, 4, 5, 5, 9} = {3, 3, 7, 7, 8, 8}
{1, 1, 3, 3, 5, 5, 8, 8} = {2, 2, 4, 4, 7, 7, 9}
{2, 2, 3, 3, 4, 4, 7, 7} = {1, 1, 5, 5, 8, 8, 9}
{1, 1, 2, 3, 3, 3, 3, 4, 5, 5} = {7, 7, 8, 9, 9}
{1, 1, 2, 4, 5, 5, 9, 9} = {3, 3, 3, 3, 7, 7, 8}
{1, 1, 3, 3, 3, 3, 5, 5, 8} = {2, 4, 7, 7, 9, 9}
{2, 3, 3, 3, 3, 4, 7, 7} = {1, 1, 5, 5, 8, 9, 9}
{1, 1, 3, 3, 3, 3, 3, 3, 5, 5} = {7, 7, 9, 9, 9}
{3, 3, 3, 3, 3, 3, 7, 7} = {1, 1, 5, 5, 9, 9, 9}
{1, 2, 2, 2, 2, 4, 4, 4, 4, 5} = {7, 8, 8, 8, 8}
{2, 2, 2, 2, 4, 4, 4, 4, 7} = {1, 5, 8, 8, 8, 8}
{1, 2, 2, 2, 3, 3, 4, 4, 4, 5} = {7, 8, 8, 8, 9}
{1, 2, 2, 2, 4, 4, 4, 5, 9} = {3, 3, 7, 8, 8, 8}
{2, 2, 2, 3, 3, 4, 4, 4, 7} = {1, 5, 8, 8, 8, 9}
{2, 2, 2, 4, 4, 4, 7, 9} = {1, 3, 3, 5, 8, 8, 8}
{1, 2, 2, 3, 3, 3, 3, 4, 4, 5} = {7, 8, 8, 9, 9}
{1, 2, 2, 4, 4, 5, 9, 9} = {3, 3, 3, 3, 7, 8, 8}
{1, 3, 3, 3, 3, 5, 8, 8} = {2, 2, 4, 4, 7, 9, 9}
{2, 2, 3, 3, 3, 3, 4, 4, 7} = {1, 5, 8, 8, 9, 9}
{1, 2, 3, 3, 3, 3, 3, 3, 4, 5} = {7, 8, 9, 9, 9}
{1, 3, 3, 3, 3, 3, 3, 5, 8} = {2, 4, 7, 9, 9, 9}
{2, 3, 3, 3, 3, 3, 3, 4, 7} = {1, 5, 8, 9, 9, 9}
{3, 3, 3, 3, 3, 3, 7, 8} = {1, 2, 4, 5, 9, 9, 9}
{1, 3, 3, 3, 3, 3, 3, 3, 3, 5} = {7, 9, 9, 9, 9}
{3, 3, 3, 3, 3, 3, 3, 3, 7} = {1, 5, 9, 9, 9, 9}
{2, 2, 2, 2, 2, 4, 4, 4, 4, 4} = {8, 8, 8, 8, 8}
{2, 2, 2, 2, 3, 3, 4, 4, 4, 4} = {8, 8, 8, 8, 9}
{2, 2, 2, 2, 4, 4, 4, 4, 9} = {3, 3, 8, 8, 8, 8}
{2, 2, 2, 3, 3, 3, 3, 4, 4, 4} = {8, 8, 8, 9, 9}
{2, 2, 2, 4, 4, 4, 9, 9} = {3, 3, 3, 3, 8, 8, 8}
{2, 2, 3, 3, 3, 3, 3, 3, 4, 4} = {8, 8, 9, 9, 9}
{3, 3, 3, 3, 3, 3, 8, 8} = {2, 2, 4, 4, 9, 9, 9}
{2, 3, 3, 3, 3, 3, 3, 3, 3, 4} = {8, 9, 9, 9, 9}
{3, 3, 3, 3, 3, 3, 3, 3, 8} = {2, 4, 9, 9, 9, 9}
{3, 3, 3, 3, 3, 3, 3, 3, 3, 3} = {9, 9, 9, 9, 9}

得到完美数字串——{3, 9, 19, 33, 51, 73, 99, 129, 163, 201, 243, 289, 339, 393, 451, 513, 579, 649, 723, 801, 883, 969, 1059, —— 2k^2 + 1 。

王守恩

简单的——6个数——12=1,24=2,36=3,48=4,72=6,84=7,——sin加法恒等式。

2个基本解。
1+4=6—基本解1。
2+3=7—基本解2。

左边的数≠右边的数。左边的数可以相同。右边的数可以相同。左边的个数>右边的个数。左边的个数=右边的个数时,左边的第1个数＜右边的第1个数——譬如

n=3: 2 组。
  {1, 4} = {6}
  {2, 3} = {7}

n=6: 4 组。
  {1, 1, 4, 4} = {6, 6}
  {1, 2, 3, 4} = {6, 7}
  {1, 4, 7} = {2, 3, 6}
  {2, 2, 3, 3} = {7, 7}

n=9: 6 组。
  {1, 1, 1, 4, 4, 4} = {6, 6, 6}
  {1, 1, 2, 3, 4, 4} = {6, 6, 7}
  {1, 1, 4, 4, 7} = {2, 3, 6, 6}
  {1, 2, 2, 3, 3, 4} = {6, 7, 7}
  {2, 2, 3, 3, 6} = {1, 4, 7, 7}
  {2, 2, 2, 3, 3, 3} = {7, 7, 7}

n=12: 8 组。
  {1, 1, 1, 1, 4, 4, 4, 4} = {6, 6, 6, 6}
  {1, 1, 1, 2, 3, 4, 4, 4} = {6, 6, 6, 7}
  {1, 1, 1, 4, 4, 4, 7} = {2, 3, 6, 6, 6}
  {1, 1, 2, 2, 3, 3, 4, 4} = {6, 6, 7, 7}
  {1, 1, 4, 4, 7, 7} = {2, 2, 3, 3, 6, 6}
  {1, 2, 2, 2, 3, 3, 3, 4} = {6, 7, 7, 7}
  {2, 2, 2, 3, 3, 3, 6} = {1, 4, 7, 7, 7}
  {2, 2, 2, 2, 3, 3, 3, 3} = {7, 7, 7, 7}

n=15: 10 组。
  {1, 1, 1, 1, 1, 4, 4, 4, 4, 4} = {6, 6, 6, 6, 6}
  {1, 1, 1, 1, 2, 3, 4, 4, 4, 4} = {6, 6, 6, 6, 7}
  {1, 1, 1, 1, 4, 4, 4, 4, 7} = {2, 3, 6, 6, 6, 6}
  {1, 1, 1, 2, 2, 3, 3, 4, 4, 4} = {6, 6, 6, 7, 7}
  {1, 1, 1, 4, 4, 4, 7, 7} = {2, 2, 3, 3, 6, 6, 6}
  {1, 1, 2, 2, 2, 3, 3, 3, 4, 4} = {6, 6, 7, 7, 7}
  {2, 2, 2, 3, 3, 3, 6, 6} = {1, 1, 4, 4, 7, 7, 7}
  {1, 2, 2, 2, 2, 3, 3, 3, 3, 4} = {6, 7, 7, 7, 7}
  {2, 2, 2, 2, 3, 3, 3, 3, 6} = {1, 4, 7, 7, 7, 7}
  {2, 2, 2, 2, 2, 3, 3, 3, 3, 3} = {7, 7, 7, 7, 7}

n=18: 12 组。
  {1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4} = {6, 6, 6, 6, 6, 6}
  {1, 1, 1, 1, 1, 2, 3, 4, 4, 4, 4, 4} = {6, 6, 6, 6, 6, 7}
  {1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 7} = {2, 3, 6, 6, 6, 6, 6}
  {1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4} = {6, 6, 6, 6, 7, 7}
  {1, 1, 1, 1, 4, 4, 4, 4, 7, 7} = {2, 2, 3, 3, 6, 6, 6, 6}
  {1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4} = {6, 6, 6, 7, 7, 7}
  {1, 1, 1, 4, 4, 4, 7, 7, 7} = {2, 2, 2, 3, 3, 3, 6, 6, 6}
  {1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4} = {6, 6, 7, 7, 7, 7}
  {2, 2, 2, 2, 3, 3, 3, 3, 6, 6} = {1, 1, 4, 4, 7, 7, 7, 7}
  {1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4} = {6, 7, 7, 7, 7, 7}
  {2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 6} = {1, 4, 7, 7, 7, 7, 7}
  {2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3} = {7, 7, 7, 7, 7, 7}

简单的数字串——{2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, —— 通项: a(k) = 2k, n = 3k 。

王守恩

7个数——12=1,24=2,36=3,48=4,60=5,72=6,84=7。——sin加法恒等式。

左边的数≠右边的数。左边的数可以相同。右边的数可以相同。左边的个数>右边的个数。

左边+右边=88个数。有96组解。

01.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
02.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
03.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6}
04.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
05.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6}
06.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
07.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
08.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
09.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6}
10.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6}
11.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6}
12.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
13.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
14.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
15.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6}
16.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
17.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6}
18.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
19.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6}
20.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
21.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}
22.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
23.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6}
24.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
25.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6}
26.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
27.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6}
28.  {1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
29.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
30.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
31.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
32.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
33.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
34.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
35.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
36.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6}
37.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6}
38.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6}
39.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6}
40.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}
41.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6}
42.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6}
43.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6}
44.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
45.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
46.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
47.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6}
48.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}

王守恩

49.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6}
50.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
51.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6}
52.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
53.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}
54.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
55.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6}
56.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
57.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6}
58.  {1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
59.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6}
60.  {1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
61.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6}
62.  {1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
63.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6}
64.  {1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
65.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6}
66.  {1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
67.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6}
68.  {1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
69.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6}
70.  {1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
71.  {1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
72.  {1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
73.  {1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
74.  {1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
75.  {1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
76.  {1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
77.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
78.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
79.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
80.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
81.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
82.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}
83.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6}
84.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6}
85.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6}
86.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6}
87.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6}
88.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6}
89.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6}
90.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6}
91.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6}
92.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}
93.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6}
94.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6}
95.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6}
96.  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7} = {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5}