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December 19, 2015 09:39
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simple linear time algorithm for finding longest palindome substring in a give string
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def longest_subpalindrome_slice(s): | |
longest=(0,0) | |
start_idx=0 #index of palindrone ending at i | |
repeated = True | |
#loop invariant we know longest palindrome in s[0:i] | |
#and we know longest palidrom ending at i | |
for i in xrange(1,len(s)): | |
if(start_idx != 0 and s[start_idx-1] == s[i]) : | |
start_idx = start_idx-1 | |
repeated = False | |
elif (not repeated or s[i] != s[i-1]): | |
start_idx = i | |
repeated = True | |
longest = max(longest, (start_idx,i),key=lambda(l,r): r-l) | |
return (longest[0], longest[1]+1) | |
def test(): | |
L = longest_subpalindrome_slice | |
assert L('racecar') == (0, 7) | |
assert L('Racecar') == (0, 7) | |
assert L('RacecarX') == (0, 7) | |
assert L('Race carr') == (7, 9) | |
assert L('') == (0, 0) | |
assert L('something rac e car going') == (8,21) | |
assert L('xxxxx') == (0, 5) | |
assert L('Mad am I ma dam.') == (0, 15) | |
assert L('hannnnah') == (0, 8) | |
assert L('abcerehannnnah') == (6, 14) | |
return 'tests pass' |
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