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"Hire a mathematician" mega logic Mystery Cache

Hidden : 11/22/2019
Difficulty:
4.5 out of 5
Terrain:
2.5 out of 5

Size: Size:   micro (micro)

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Congrats to FTF-er and mathie Falach-fead!  

If you aren't familiar with this kind of puzzle, you may want to try solving GC61BVX: (NSML02: a Micro Logic Tutorial) first.

You can get the coordinates by solving the following: The 26 letters (A, B, C, ... Z) represent the numbers from 1 to 26. No two letters are equal. "G*A" represents multiplication.

A - B - C - D - E - F + G + H + I - J - K + L - M + N - O + P + Q + R + S - T - U - V - W - X - Y + Z = -61
A - B - C - D + E - F + G - H + I - J - K - L - M + N - O + P - Q + R - S - T - U + V + W + X - Y + Z = -31
A + B + C - D + E - F + G - H + I + J - K + L + M - N - O + P - Q - R + S - T + U - V - W + X - Y - Z = -21
A + B - C - D - E + F + G - H + I + J + K + L + M + N - O - P + Q + R - S - T - U - V + W - X - Y + Z = -5
A + B - C + D - E + F + G + H - I + J + K + L - M + N + O - P + Q - R - S - T - U - V - W - X - Y + Z = -71
A - B - C + D - E - F + G - H + I - J - K + L - M + N + O + P - Q + R - S - T - U + V + W - X - Y + Z = 1
A - B - C - D - E + F + G - H + I - J - K + L + M - N + O - P + Q + R - S + T + U + V - W - X + Y + Z = 91
A - B + C + D - E + F + G + H + I - J + K - L + M - N - O - P - Q + R + S - T - U + V + W + X - Y - Z = 13
A + B + C - D + E + F - G - H - I + J - K + L - M + N - O + P - Q + R + S - T - U + V + W - X - Y - Z = -57
A - B - C + D - E - F - G + H + I + J + K + L + M + N - O + P - Q + R + S + T - U + V + W + X - Y - Z = 73
A - B + C + D - E - F - G - H - I - J - K - L + M - N + O + P - Q + R - S - T + U + V + W + X + Y - Z = 29
A + B - C - D - E - F + G + H + I - J + K - L + M + N + O + P + Q - R - S - T + U - V - W - X - Y + Z = -11
A + B - C + D + E - F + G + H - I - J + K + L + M + N - O - P - Q + R - S + T - U + V - W + X - Y - Z = -11
A + B - C - D - E + F - G + H - I - J - K - L - M + N - O + P + Q + R + S + T + U - V - W + X - Y + Z = 43
A - B + C + D + E + F + G + H - I - J + K - L + M - N - O + P + Q - R + S - T - U + V + W + X - Y + Z = 13
A - B + C - D - E - F - G - H - I + J + K - L + M - N - O - P + Q + R + S - T + U + V - W + X - Y - Z = -57
A + B - C - D - E - F - G + H - I - J - K - L - M + N - O - P + Q + R - S - T - U - V - W + X - Y + Z = -135
A + B - C + D + E - F - G - H - I + J + K - L + M + N - O - P + Q + R - S - T + U + V - W + X + Y + Z = 51
A - B + C - D - E - F - G + H - I + J - K + L - M - N + O + P + Q - R - S + T + U - V - W + X + Y + Z = 9
A - B - C - D - E - F - G + H - I - J + K - L - M - N + O - P + Q - R - S + T - U + V - W + X + Y + Z = -91
A + B + C + D + E - F - G - H + I + J - K - L - M - N - O - P + Q + R - S - T + U + V - W - X + Y - Z = -47
A - B + C - D - E - F - G - H - I + J - K - L - M - N - O - P + Q - R + S - T - U - V - W - X + Y - Z = -213
A - B + C + D + E + F - G - H - I - J + K - L + M + N - O + P + Q - R - S + T - U + V - W - X - Y - Z = -59
A + B + C - D + E + F - G - H - I - J - K - L - M - N - O - P + Q + R + S + T + U + V + W - X - Y + Z = 19
A - B + C + D + E + F - G - H + I - J + K - L + M - N - O + P + Q - R + S + T + U + V + W - X + Y - Z = 83
A - B - C + D - E + F - G + H - I + J + K - L - M + N - O - P - Q - R + S - T + U - V + W + X - Y + Z = -15

 

 

To solve this puzzle, enter the 26 letters in the checker below, in the order from smallest to largest with no spaces. For example if the solution was A=1, B=2, ..., Z = 26, then you'd enter ABCDEFGHIJKLMNOPQRSTUVWXYZ in the checker.


You can validate your puzzle solution with certitude.

If you do hire a mathematician, she may find the equivalent format of the above equations more convenient to work with:

      A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z answer
 [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    -61
 [2,] 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    -31
 [3,] 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    -21
 [4,] 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     -5
 [5,] 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    -71
 [6,] 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
 [7,] 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     91
 [8,] 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     13
 [9,] 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    -57
[10,] 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     73
[11,] 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     29
[12,] 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    -11
[13,] 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    -11
[14,] 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     43
[15,] 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     13
[16,] 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    -57
[17,] 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   -135
[18,] 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     51
[19,] 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      9
[20,] 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    -91
[21,] 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    -47
[22,] 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   -213
[23,] 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    -59
[24,] 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     19
[25,] 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     83
[26,] 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    -15

Why is this a difficulty 4.5 and not a 5? As "Deep Thought" might have said "I speak of none other than the puzzle that is to come after me."



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Additional Hints (Decrypt)

Fbhgu bs znva genvy, gura ba Jrfg bs fvqr genvy

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)