Kth Palindrome Code
Infosys SP Exam
C++


#include <iostream>
#include <vector>


using namespace std;

const int MOD = 1000000007;

int v(int k) {
    return (1 << k) - 1;
}


bool p(int n) {
    while (n % 2 == 0) n /= 2;
    return n == 1;
}


long long s(int n) {
    vector<long long> dp(n + 1, 0);
    dp[0] = 1;
   
    for (int i = 1; i <= n; ++i) {
        for (int k = 1; v(k) <= i; ++k) {
            int l = v(k - 1) - 1;
            if (i >= 2 * l + 1) {
                dp[i] = (dp[i] + dp[i - (2 * l + 1)] * k) % MOD;
            }
        }
    }
   
    return dp[n];
}


int main() {
    int n;
    cin >> n;
   
    cout << s(n) << endl;
   
    return 0;
}

Kth Palindrome Code
Infosys SP Exam
C++

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