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''' | ||
# 20. Valid Parentheses | ||
use stack data structure to perform as a LIFO | ||
## Time and Space Complexity | ||
``` | ||
TC: O(n) | ||
SC: O(n) | ||
``` | ||
#### TC is O(n): | ||
- iterating through the string just once to check if the parentheses are valid. = O(n) | ||
#### SC is O(n): | ||
- using a stack to store the parentheses. = the worst case is O(n) | ||
- using a map to store the parentheses. = O(1) | ||
> for space complexity, fixed space is O(1). | ||
> 👉 parentheses_map is fixed and its size doesn't grow with the input size. | ||
> 👉 if the map has much larger size? the space complexity is still O(1). | ||
''' | ||
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class Solution: | ||
def isValid(self, s: str) -> bool: | ||
stack = [] # SC: O(n) | ||
parentheses_map = { # SC: O(1) | ||
"(": ")", | ||
"{": "}", | ||
"[": "]" | ||
} | ||
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for char in s: # TC: O(n) | ||
if char in parentheses_map: | ||
stack.append(char) | ||
else: | ||
if len(stack) == 0 or parentheses_map[stack.pop()] != char: | ||
return False | ||
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return not stack |