Cut Palindrome - Amazon Top Interview Questions


Problem Statement :


Given two strings a and b of equal length, return whether it is possible to cut both strings at a common point such that the first part of a and the second part of b form a palindrome.

Constraints

n ≤ 100,000 where n is the length of a and b

Example 1

Input

a = "cat"
b = "pac"

Output

True

Explanation

If we cut the strings into "c" + "at" and "p" + "ac", then "c" + "ac" is a palindrome.

Example 2

Input

a = "iceboat"
b = "racecar"

Output

True

Explanation

If we cut the strings into "" + "iceboat" and "" + "racecar", then "" + "racecar" is a palindrome.



Solution :



title-img




                        Solution in C++ :

bool chk(string s, int i, int j) {
    while (i <= j) {
        if (s[i] != s[j]) break;
        i++;
        j--;
    }

    if (i > j)
        return 1;
    else
        return 0;
}

bool solve(string a, string b) {
    int n = a.size();

    if (n < 2) return 1;

    int i = 0, j = n - 1;

    while (i <= j) {
        if (a[i] != b[j]) break;
        i++;
        j--;
    }

    if (i > j) return 1;

    return chk(a, i, j) || chk(b, i, j);
}
                    




                        Solution in Python : 
                            
class Solution:
    def solve(self, a, b):
        n, i = len(a), 0
        while i < n // 2 and a[i] == b[~i]:
            i += 1
        if all(a[j] == a[~j] for j in range(i, n // 2)):
            return True
        if all(b[j] == b[~j] for j in range(i, n // 2)):
            return True
        return False
                    


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