data/problems/166.yml
---
:id: 166
:name: Criss Cross
:url: https://projecteuler.net/problem=166
:content: "A 4x4 grid is filled with digits d, 0 ≤ d ≤ 9.\n\nIt can be seen that in
the grid\n\n6 3 3 0 \n5 0 4 3 \n0 7 1 4 \n1 2 4 5\n\nthe sum of each row and
each column has the value 12. Moreover the sum of each diagonal is also 12.\n\nIn
how many ways can you fill a 4x4 grid with the digits d, 0 ≤ d ≤ 9 so that each
row, each column, and both diagonals have the same sum?\n\n"