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longestPalindrome.py
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141 lines (135 loc) · 5.11 KB
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class Solution:
def longestPalindrome(self, s: str) -> str:
sprime = '$' + '$'.join(s) +'$'
slength = len(sprime)
palindromeRadiiDict = {}
print(s)
center = 0
radius = 0
while center < slength:
while center - (radius + 1) >= 0 and center + (radius + 1) < slength and sprime[center - (radius + 1)] == sprime[center + (radius + 1)]:
radius += 1
palindromeRadiiDict[center] = radius
oldCenter = center
oldRadius = radius
center += 1
radius = 0
while center <= oldCenter + oldRadius:
mirroredCenter = oldCenter - (center - oldCenter)
maxMirroredRadius = oldCenter + oldRadius - center
if palindromeRadiiDict[mirroredCenter] < maxMirroredRadius:
palindromeRadiiDict[center] = palindromeRadiiDict[mirroredCenter]
center += 1
elif palindromeRadiiDict[mirroredCenter] > maxMirroredRadius:
palindromeRadiiDict[center] = maxMirroredRadius
center += 1
else:
radius = maxMirroredRadius
break
longestPalindromeInSprime = 0
longestPalindromeCenter = 0
for k, v in palindromeRadiiDict.items():
if v > longestPalindromeInSprime:
longestPalindromeCenter = k
longestPalindromeInSprime = v
start = (longestPalindromeCenter - longestPalindromeInSprime) // 2
end = (longestPalindromeCenter + longestPalindromeInSprime) // 2
re = s[start: end]
longestPalindromeInSprime = 2 * max(palindromeRadiiDict.values()) + 1
longestPalindromeInS = (longestPalindromeInSprime - 1) / 2
return re
# class Solution:
# def longestPalindrome(self, s: str) -> str:
# longest = 1
# longestStr = s[0]
# slength = len(s)
# input = list(s)
# crdict = {}
# largestr = 0
# for i in range(slength):
# pre = i
# post = i
# if i not in crdict:
# crdict[i] = 0
# while input[pre] == input[post]:
# l = post - pre + 1
# if l > longest:
# longest = l
# longestStr = s[pre:post + 1]
# largestr = post - i
# r = post - i
# if r > crdict[i]:
# crdict[i] = r
# pre -= 1
# post += 1
# if pre < 0 or post >= slength:
# break
# # if i not in crdict:
# # crdict[i] = post - i
# if i < slength - 1:
# pre = i
# post = i + 1
# while input[pre] == input[post]:
# l = post - pre + 1
# if l > longest:
# longest = l
# longestStr = s[pre:post + 1]
# largestr = post - i
# r = post - i
# if r > crdict[i]:
# crdict[i] = r
# pre -= 1
# post += 1
# if pre < 0 or post > slength - 1:
# break
# # if i not in crdict:
# # crdict[i] = post - i
# # else:
# # raise Exception("same center found for: " + str(i))
# if i + largestr >= slength - 1:
# break
# return longestStr
#
# def _findPalindrome(self, input, longest, longestStr, post, pre, s, slength):
# while input[pre] == input[post]:
# l = post - pre + 1
# if l > longest:
# longest = l
# longestStr = s[pre:post + 1]
# pre -= 1
# post += 1
# if pre < 0 or post >= slength:
# break
# return longest, longestStr
# class Solution:
# def longestPalindrome(self, s: str) -> str:
# longest = 1
# longestStr = s[0]
# slength = len(s)
# input = list(s)
# for i in range(slength):
# pre = i
# post = i
# longest, longestStr = self._findPalindrome(input, longest, longestStr, post, pre, s, slength)
# if i < slength - 1:
# pre = i
# post = i + 1
# longest, longestStr = self._findPalindrome(input, longest, longestStr, post, pre, s, slength)
# return longestStr
#
# def _findPalindrome(self, input, longest, longestStr, post, pre, s, slength):
# while input[pre] == input[post]:
# l = post - pre + 1
# if l > longest:
# longest = l
# longestStr = s[pre:post + 1]
# pre -= 1
# post += 1
# if pre < 0 or post >= slength:
# break
# return longest, longestStr
if __name__ == '__main__':
input = 'babad'
s = Solution()
output = s.longestPalindrome(input)
print(output)