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Kth Palindrome Code
Infosys SP Exam
C++
#include <iostream>
#include <vector>
using namespace std;
const int MOD = 1000000007;
int v(int k) {
ย ย ย return (1 << k) - 1;
}
bool p(int n) {
ย ย ย while (n % 2 == 0) n /= 2;
ย ย ย return n == 1;
}
long long s(int n) {
ย ย ย vector<long long> dp(n + 1, 0);
ย ย ย dp[0] = 1;
ย ย ย
ย ย ย for (int i = 1; i <= n; ++i) {
ย ย ย ย ย ย ย for (int k = 1; v(k) <= i; ++k) {
ย ย ย ย ย ย ย ย ย ย ย int l = v(k - 1) - 1;
ย ย ย ย ย ย ย ย ย ย ย if (i >= 2 * l + 1) {
ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย dp[i] = (dp[i] + dp[i - (2 * l + 1)] * k) % MOD;
ย ย ย ย ย ย ย ย ย ย ย }
ย ย ย ย ย ย ย }
ย ย ย }
ย ย ย
ย ย ย return dp[n];
}
int main() {
ย ย ย int n;
ย ย ย cin >> n;
ย ย ย
ย ย ย cout << s(n) << endl;
ย ย ย
ย ย ย return 0;
}
Kth Palindrome Code
Infosys SP Exam
C++
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