569. Shortest Path with Constraints

0

Easy

Given a square matrix of positive integers with dimensions N x N, determine the length of the shortest path from the top-left cell to the bottom-right cell, while adhering to the given constraints.

Input Format

An integer N representing the number of rows and columns in the matrix.
N x N elements of the matrix.

Output Format

An integer representing the length of the shortest path.

Example

Input

10 7 1 3 5 3 6 1 1 7 5 2 3 6 1 1 6 6 6 1 2 6 1 7 2 1 4 7 6 6 2 6 6 7 1 3 3 5 1 3 4 5 5 6 1 5 4 6 1 7 4 3 5 5 2 7 5 3 4 3 6 4 1 4 3 6 4 5 3 2 6 4 4 1 7 4 3 3 1 4 2 4 4 5 1 5 2 3 5 3 5 3 6 3 5 2 2 6 4 2 1

Output

6

Constraints

0<=N<=50
0<=mat[i][j]<=N
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