PRINSEC - buggy solution

#include <iostream>

int main() {
    int r;
    std::cin >> r;

    int a = r ^ 3, b = r ^ 31, c = r ^ 18, d = r ^ 16;

    int x = a & b, y = c | d;

    if (x == 3) {
        if (y == 4) {
            std::cout << "YES\n";
        } else {
            std::cout << "NO\n";
        }
    } else if (x == 15) {
        if (y == 26) {
            std::cout << "YES\n";
        } else {
            std::cout << "NO\n";
        }
    } else if (x == 2) {
        if (y == 11) {
            std::cout << "YEZ\n";
        } else {
            std::cout << "NO\n";
        }
    } else if (x == 10) {
        if (y == 31) {
            std::cout << "YES\n";
        } else {
            std::cout << "NO\n";
        }
    } else {
        std::cout << "NO\n";
    }
}