How to Fix Palindrome Partitioning Errors

In this tutorial, you'll learn about How to Fix Palindrome Partitioning Errors. We cover key concepts, practical examples, and best practices.

Fix palindrome partitioning errors when minimum cuts DP incorrect or palindrome check repeats O(n^3).

Quick Fix

Wrong

def min_cut(s):
    n=len(s); dp=list(range(n))
    for i in range(1,n):
        for j in range(i+1):
            if s[j:i+1]==s[j:i+1][::-1]:
                dp[i]=min(dp[i], (dp[j-1] if j>0 else 0)+1)
    return dp[-1]

Repeated palindrome checks O(n^3). Long substring checks are expensive.

Right

def min_cut(s):
    n=len(s); dp=list(range(n))
    pal=[[False]*n for _ in range(n)]
    for i in range(n): pal[i][i]=True
    for length in range(2,n+1):
        for i in range(n-length+1):
            j=i+length-1
            if s[i]==s[j] and (length<=2 or pal[i+1][j-1]): pal[i][j]=True
    for i in range(1,n):
        if pal[0][i]: dp[i]=0
        else:
            for j in range(i):
                if pal[j+1][i]: dp[i]=min(dp[i],dp[j]+1)
    return dp[-1]

s='aab' -> 1 ('aa','b'). O(n^2).

Prevention

Precompute palindrome table O(n^2). Then compute min cuts using palindrome lookups.

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