# Ponder This

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## July 2018 - Solution

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, wrote a blog post and 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.