Created
July 11, 2012 02:23
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Dynamic programming implementation for (()())
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# !/usr/bin/python | |
# -*- encoding: utf-8 -*- | |
import sys | |
array = list(sys.argv[1]) | |
l = len(array) | |
dp = [] | |
for i in range(l): | |
dp.append([]) | |
for j in range(l): | |
dp[i].append(False) | |
dp[0][0] = False | |
for i in range(1, l): | |
dp[i][i] = False | |
if array[i - 1] == '(' and array[i] == ')': | |
dp[i - 1][i] = True | |
else: | |
dp[i - 1][i] = False | |
for i in range(l - 2, -1, -1): | |
for j in range(i + 2, l): | |
ret = False | |
if array[i] == '(' and array[j] == ')': | |
ret |= dp[i + 1][j - 1] | |
for k in range(i + 1, j): | |
ret |= (dp[i][k] & dp[k + 1][j]) | |
dp[i][j] = ret | |
print dp[0][l - 1] | |
for item in dp: | |
print item |
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