#include <iostream>
#include <string>

using namespace std;

int main() {
	int T; cin >> T;
	while (T) {
		int K; cin >> K;
		int x; cin >> x;
		int y; cin >> y;

		if (y > x) {
			cout << K << " 2 " << x << " " << y << endl;
		} else if (y >= 4) {
			int left = 3;
			int right = x + 2;
			int down = x - y + 5;
			int up = x+3;
			cout << K << " 6 1 2 " << left << " " 
				<< down << " " << right << " " << up << endl; 
		} else {
			cout << K << " NO PATH" << endl;
		}
		T--;
	}
	return 0;
}