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Saddle Price

1. You are given a square matrix of size 'n'. You are given n*n elements of the square matrix. 2. You are required to find the saddle price of the given matrix and print the saddle price. 3. The saddle price is defined as the least price in the row but the maximum price in the column of the matrix.

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Saddle Price

easy

1. You are given a square matrix of size 'n'. You are given n*n elements of the square matrix. 2. You are required to find the saddle price of the given matrix and print the saddle price. 3. The saddle price is defined as the least price in the row but the maximum price in the column of the matrix.

Constraints

1 <= n <= 10^2 -10^9 <= e11, e12, .. n * m elements <= 10^9

Format

Input

A number n e11 e12.. e21 e22.. .. n * n number of elements of array a

Output

Saddle point of the matrix if available or "Invalid input" if no saddle point is there.

Example

Sample Input

4 11 12 13 14 21 22 23 24 31 32 33 34 41 42 43 44

Sample Output

41

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