// Misleading 50:50 Monty Hall simulation
// Written by ChatGPT to demo AI suport for a bad interpretation
// IMPORTANT: This is NOT the traditional Monty Hall problem.
// It changes Monty's behavior and therefore produces a misleading
// 50:50 result.

const unsigned long TRIALS = 2000UL;

unsigned long stayWins = 0;
unsigned long switchWins = 0;
unsigned long discarded = 0;

void setup() {
  Serial.begin(115200);

  randomSeed(20260820);

  unsigned long i = 0;
  while (i < TRIALS) {

    // Randomly place the prize: 0, 1, or 2
    int prize = random(3);

    // Contestant randomly chooses a door
    int choice = random(3);

    // Monty randomly chooses one of the OTHER doors.
    // This is deliberately NOT the traditional Monty Hall rule.
    int opened;

    if (choice == 0) {
      opened = random(2) + 1;       // 1 or 2
    }
    else if (choice == 1) {
      opened = (random(2) == 0) ? 0 : 2;
    }
    else {
      opened = random(2);           // 0 or 1
    }

    if (opened == prize) {     // Monty chose a car (the bug)
    //  discarded++;
      continue;
    }

    // The remaining unopened door
    int switched;

    for (int d = 0; d < 3; d++) {
      if (d != choice && d != opened) {
        switched = d;
        break;
      }
    }

    if (choice == prize) {
      stayWins++;
    }

    if (switched == prize) {
      switchWins++;
    }
    ++i;
  }

  unsigned long counted = stayWins + switchWins;

  Serial.println("Misleading 50:50 simulation");
  Serial.println("--------------------------------");

  Serial.print("Trials requested: ");
  Serial.println(TRIALS);

  //Serial.print("Trials discarded: ");
  //Serial.println(discarded);

  Serial.print("Trials counted:   ");
  Serial.println(counted);

  Serial.print("Stay wins:        ");
  Serial.println(stayWins);

  Serial.print("Switch wins:      ");
  Serial.println(switchWins);

  Serial.print("Stay percentage:  ");
  Serial.println(100.0 * stayWins / counted, 2);

  Serial.print("Switch percentage:");
  Serial.println(100.0 * switchWins / counted, 2);
}

void loop() {
  // Nothing to do.
}