#!/usr/bin/env python3

def from_file(name):
    mx = []
    with open(name, 'r') as f:
        for row in f.readlines():
            mx.append([int(num) if num[-1] != '\n' else int(num[:-1]) for num in row.split(',')])
    return mx
    
def main():
    mx = from_file('data/082_matrix.txt')
    rl = len(mx)
    cl = len(mx[0])
    for col in range(cl - 2, -1, -1):
        cache = [None for i in range(rl)]
        cache[rl - 1] = sum(mx[rl - 1][col : col + 2])
        
        for row in range(rl - 2, -1, -1):
            cache[row] = mx[row][col] + min(cache[row + 1], mx[row][col + 1])
        s = sum(mx[0][col : col + 2])
        mx[0][col] = min(s, cache[0])
        
        for row in range(1, rl):
            s = mx[row][col] + min(s, mx[row][col + 1])
            mx[row][col] = min(cache[row], s)
    return min(list(zip(*mx))[0])

if __name__ == '__main__':
    print(main())