A string S consisting of N characters is considered to be properly nested if any of the following conditions is true:
S is empty;
S has the form "(U)" or "[U]" or "{U}" where U is a properly nested string;
S has the form "VW" where V and W are properly nested strings.
For example, the string "{[()()]}" is properly nested but "([)()]" is not.
Write a function:
def solution(S)
that, given a string S consisting of N characters, returns 1 if S is properly nested and 0 otherwise.
For example, given S = "{[()()]}", the function should return 1 and given S = "([)()]", the function should return 0, as explained above.
Write an efficient algorithm for the following assumptions:
N is an integer within the range [0..200,000];
string S is made only of the following characters: '(', '{', '[', ']', '}' and/or ')'.
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from collections import deque
def solution(S):
S_deque = deque()
for s in S:
if s in '{[(':
S_deque.append(s)
else:
if len(S_deque) == 0:
return 0
pair = S_deque.pop()
if s == '}':
if pair != '{':
return 0
elif s == ']':
if pair != '[':
return 0
else:
if pair != '(':
return 0
if len(S_deque) > 0:
return 0
return 1