July 2018 - Solution

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July 2018 Challenge


Most of you found the following solution:

obscure triplet sum product shared triplet
{7,30,54}
{8,31,55}
{9,32,56}
{10,33,57}
91
94
97
100
11340
13640
16128
18810
{10,18,63}
{10,22,62}
{12,21,64}
{15,19,66}


There is a better solution (four more years):

obscure triplet sum product shared triplet
{9,21,62}
{10,22,63}
{11,23,64}
{12,24,65}
{13,25,66}
92
95
98
101
104
11718
13860
16192
18720
21450
{7,31,54}
{14,15,66}
{8,44,46}
{9,40,52}
{10,39,55}


We know of four solutions worth of a bonus '*' (5 more years):

Solution 1:

obscure triplet sum product shared triplet
{215,328,1053}
{216,329,1054}
{217,330,1055}
{218,331,1056}
{219,332,1057}
{220,333,1058}
1596
1599
1602
1605
1608
1611
74257560
74901456
75548550
76198848
76852356
77509080
{195,369,1032}
{141,714, 744}
{211,341,1050}
{176,436, 993}
{151,581, 876}
{185,414,1012}

Solution 2:

obscure triplet sum product shared triplet
{91,869,1390}
{92,870,1391}
{93,871,1392}
{94,872,1393}
{95,873,1394}
{96,874,1395}
2350
2353
2356
2359
2362
2365
109919810
111335640
112756176
114181424
115611390
117046080
{158,385,1807}
{87,1070,1196}
{156,402,1798}
{109,658,1592}
{194,323,1845}
{120,589,1656}

Solution 3:

obscure triplet sum product shared triplet
{193,560,4182}
{194,561,4183}
{195,562,4184}
{196,563,4185}
{197,564,4186}
{198,565,4187}
4935
4938
4941
4944
4947
4950
451990560
455252622
458524560
461806380
465098088
468399690
{123,952,3860}
{89,1551,3298}
{78,2248,2615}
{135,868,3941}
{276,394,4277}
{79,2385,2486}

Solution 4:

obscure triplet sum product shared triplet
{211,5368,9384}
{212,5369,9385}
{213,5370,9386}
{214,5371,9387}
{215,5372,9388}
{216,5373,9389}
14963
14966
14969
14972
14975
14978
10628768832
10682269780
10735800660
10789361478
10842952240
10896572952
{528,1564,12871}
{767,1060,13139}
{358,2470,12141}
{894, 917,13161}
{316,2924,11735}
{398,2214,12366}


Thanks to "srcmake" who, just as he did in May, uploaded a video about his solution.

Thanks also to Andreas Stiller for sending us the following graph, which is a product of two days run on a 88 logical cores and 256 GB server.