The Puzzle
Consider the grid below:
8 126 5 22 63 17 19 34 52 64 15 25 18 112 98 23 16 55 20 102
4 8 57 19 48 12 29 46 10 16 35 65 48 22 14 135 30 27 2 91
121 24 151 5 9 7 71 9 64 44 38 30 11 21 32 27 27 83 18 16
64 19 40 59 6 20 21 17 83 9 16 75 54 51 25 24 15 7 28 22
2 28 12 31 15 58 72 21 2 45 28 27 23 32 38 5 24 10 76 15
156 20 36 46 37 39 45 47 13 39 13 26 21 20 7 37 17 6 13 113
68 19 30 13 49 7 29 47 30 39 49 11 11 48 39 42 19 24 131 55
32 30 48 24 49 38 22 67 12 18 36 24 48 8 6 20 40 8 6 44
11 91 56 3 30 23 11 33 38 39 13 60 24 61 6 76 12 44 18 8
56 20 22 8 35 20 138 32 18 56 32 27 13 48 20 24 89 17 37 71
58 49 27 22 13 19 42 28 36 26 35 27 123 10 12 83 14 35 24 78
32 16 16 171 35 21 11 28 34 32 40 22 80 70 12 13 17 47 15 7
27 99 39 11 25 43 9 35 49 37 24 54 7 30 13 105 4 46 21 76
82 29 17 41 2 23 23 22 24 20 60 36 38 48 66 16 74 16 12 35
3 82 8 20 49 182 28 16 24 12 37 6 44 19 28 2 26 6 143 21
50 11 35 54 10 23 6 21 10 61 46 75 10 36 52 127 19 34 41 63
13 23 48 21 9 9 12 13 26 62 17 25 6 72 25 15 19 27 3 6
140 1 27 103 18 9 173 3 57 18 17 33 29 22 76 5 23 51 42 45
27 55 31 39 34 84 29 16 44 5 54 16 40 79 52 4 43 101 8 40
5 142 97 59 6 23 10 126 71 6 38 65 29 26 28 37 35 18 56 47
Further, consider the possible products of four adjacent numbers in a straight line (horizontal, vertical, or diagonal).
To find this cache, calculate the greatest and least of these products.
I'd like to thank gilliwig for his help in debugging this cache, and congratulate him on solving it in its original, buggy, state.
I'd also like to thank Kambfhase for suggesting better wording for the puzzle.