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ILL 1977 Problem 16

    Let nn be a positive integer. How many integer solutions (i,j,k,l), 1≤i,j,k,l≤n(i, j, k, l) , \ 1 \leq i, j, k, l \leq n, does the following system of inequalities have:

    1≤−j+k+l≤n1 \leq -j + k + l \leq n 1≤i−k+l≤n1 \leq i - k + l \leq n 1≤i−j+l≤n1 \leq i - j + l \leq n 1≤i+j−k≤n ?1 \leq i + j - k \leq n \ ?

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