Can you think of extending the logic for a normal stone paper scissor game to get the solution?

To solve the problem, follow these steps:

Key Observations

1. If Ritesh retracts his left hand (L1), his remaining hand (L2) will compete against Aaryan's hands (L3 and L4).

2. If Ritesh retracts his right hand (L2), his remaining hand (L1) will compete against Aaryan's hands (L3 and L4).

3. For each scenario, compare Ritesh's remaining hand with both of Aaryan's hands:

• Ritesh wins if his symbol beats Aaryan's symbol.
• Ritesh loses if Aaryan's symbol beats his.
• The result is a draw if both symbols are the same.

Decision Process

• If Ritesh can avoid losing against both of Aaryan's hands by retracting either hand, output Left.
• If Ritesh can avoid losing by retracting only one specific hand, output Left or Right, depending on the safe choice.
• If both scenarios result in at least one loss, output Impossible.

#include <iostream>
#include <string>
using namespace std;
string determineOutcome(char r1, char a1) {
    if (r1 == a1) {
        return "Draw";
    } else if ((r1 == 'R' && a1 == 'S') || (r1 == 'S' && a1 == 'P') || (r1 == 'P' && a1 == 'R')) {
        return "Win";
    } else {
        return "Lose";
    }
}
int main() {
    int t;
    cin >> t;
    while (t--) {
        string s;
        cin >> s;
        char rLeft = s[0];
        char rRight = s[1];
        char aLeft = s[2];
        char aRight = s[3];
        string outcomeLeft1 = determineOutcome(rRight, aLeft);
        string outcomeLeft2 = determineOutcome(rRight, aRight);
        string outcomeRight1 = determineOutcome(rLeft, aLeft);
        string outcomeRight2 = determineOutcome(rLeft, aRight);
        bool leftSafe = (outcomeLeft1 != "Lose" && outcomeLeft2 != "Lose");
        bool rightSafe = (outcomeRight1 != "Lose" && outcomeRight2 != "Lose");
        if (leftSafe && rightSafe) {
            cout << "Left" << endl;
        } else if (leftSafe) {
            cout << "Left" << endl;
        } else if (rightSafe) {
            cout << "Right" << endl;
        } else {
            cout << "Impossible" << endl;
        }
    }
    return 0;
}