Powerful Squares

Let (m,n)(m, n) be an ordered pair of positive integers such that 5m7n5^m - 7^n is a perfect square. Find the maximum possible value of m+nm + n.

If you think there is no maximum value, i.e. there are infinitely many pairs (m,n)(m, n) that satisfy the condition, input 1-1 as your answer.

Note: A perfect square must be nonnegative.

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