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83.py
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#!/usr/bin/env python
import sys
import numpy as np
matrix = []
for line in sys.stdin:
matrix.append(list(map(int,line.split(','))))
matrix = np.matrix(matrix)
min_sum = np.zeros(matrix.shape)
print matrix
min_sum[0,0] = matrix[0,0]
for j in range(1,matrix.shape[0]):
min_sum[0,j] = matrix[0,j] + min_sum[0,j-1]
print min_sum
for i in range(matrix.shape[0]):
for j in range(1,matrix.shape[1]):
min_sum[j,i] = matrix[j,i] + min_sum[j-1,i]
print min_sum
changed = True
while changed:
changed = False
#moving right
for j in range(1, matrix.shape[1]):
for i in range(matrix.shape[0]):
if min_sum[i,j] > matrix[i,j] + min_sum[i,j-1]:
min_sum[i,j] = matrix[i,j] + min_sum[i,j-1]
changed = True
#moving left
for j in range(matrix.shape[1] - 1):
for i in range(matrix.shape[0]):
if min_sum[i,j] > matrix[i,j] + min_sum[i,j+1]:
min_sum[i,j] = matrix[i,j] + min_sum[i,j+1]
changed = True
#moving down
for i in range(1, matrix.shape[0]):
for j in range(matrix.shape[1]):
if min_sum[i,j] > matrix[i,j] + min_sum[i-1,j]:
min_sum[i,j] = matrix[i,j] + min_sum[i-1,j]
changed = True
for i in range(matrix.shape[0]-1):
for j in range(matrix.shape[1]):
if min_sum[i,j] > matrix[i,j] + min_sum[i+1,j]:
min_sum[i,j] = matrix[i,j] + min_sum[i+1,j]
changed = True
print min_sum