How Can You Solve the 3x3 Square and Common Sum Puzzle?

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    3x3 Puzzle Square Sum
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SUMMARY

The discussion focuses on solving the 3x3 square puzzle where each letter represents a unique digit, and the sum of each row, column, and diagonal equals LRK, defined as 100*L + 10*R + K. Participants clarify that L must be a nonzero digit and that no cell can contain leading zeros. The challenge lies in substituting letters with digits while maintaining the common sum across all rows, columns, and diagonals.

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K Sengupta
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Substitute each of the capital letters by a different digit from 0 to 9, such that each of the columns, each of the rows and each of the two main diagonals of this 3x3 square have the common sum LRK. It is known that L is nonzero and, each of the numbers in the nine cells contains non leading zero.


Code:
CL     RO     OR
EK     HS     AA
KE     KB     SH
 
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Assuming that you mean LRK = 100*L + 10*R + K and not the product L*R*K I get:
a = 2 b=0 c=3 e=9 h=5 k=4 l=1 o=6 r=7 s=8
lrk=174

31 76 67
94 58 22
49 40 85
 

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