m = [
    [131, 673, 234, 103,  18],
    [201,  96, 342, 965, 150],
    [630, 803, 746, 422, 111],
    [537, 699, 497, 121, 956],
    [805, 732, 524,  37, 331]
]

def getm(file):
    matrix = []
    for line in open(file, 'r'):
        matrix.append(list(map(lambda x: int(x), line.split(','))))
    return matrix

def rev(matrix):
    n = []
    scale = len(matrix)
    for j in range(scale):
        line = []
        for i in range(scale):
            line.append(matrix[i][j])
        n.append(line)
    return n

def trace(matrix):
    short = matrix.pop(0)
    for line in matrix:
        ns = []
        for i in range(len(line)):
            vs = 0
            vl = [short[i]]
            for k in range(i - 1, -1, -1):
                vs += line[k]
                vl.append(vs + short[k])
            vs = 0
            for k in range(i + 1, len(line)):
                vs += line[k]
                vl.append(vs + short[k])
            ns.append(min(vl) + line[i])
        short = ns
    return short

#print(min(trace(rev(m))))
print(min(trace(rev(getm('../resource/matrix.txt')))))