Data update

Task/100-prisoners/Dart/100-prisoners.dart

@@ -0,0 +1,67 @@
+import 'dart:math';
+
+int playRandom(int n) {
+  var rnd = Random();
+  int pardoned = 0;
+  List<int> inDrawer = List<int>.generate(100, (i) => i);
+  List<int> sampler = List<int>.generate(100, (i) => i);
+  for (int round = 0; round < n; round++) {
+    inDrawer.shuffle();
+    bool found = false;
+    for (int prisoner = 0; prisoner < 100; prisoner++) {
+      found = false;
+      sampler.shuffle(rnd);
+      for (int i = 0; i < 50; i++) {
+        int reveal = sampler[i];
+        int card = inDrawer[reveal];
+        if (card == prisoner) {
+          found = true;
+          break;
+        }
+      }
+      if (!found) {
+        break;
+      }
+    }
+    if (found) {
+      pardoned++;
+    }
+  }
+  return (pardoned / n * 100).round();
+}
+
+int playOptimal(int n) {
+  var rnd = Random();
+  int pardoned = 0;
+  bool found = false;
+  List<int> inDrawer = List<int>.generate(100, (i) => i);
+  for (int round = 0; round < n; round++) {
+    inDrawer.shuffle(rnd);
+    for (int prisoner = 0; prisoner < 100; prisoner++) {
+      int reveal = prisoner;
+      found = false;
+      for (int go = 0; go < 50; go++) {
+        int card = inDrawer[reveal];
+        if (card == prisoner) {
+          found = true;
+          break;
+        }
+        reveal = card;
+      }
+      if (!found) {
+        break;
+      }
+    }
+    if (found) {
+      pardoned++;
+    }
+  }
+  return (pardoned / n * 100).round();
+}
+
+void main() {
+  int n = 100000;
+  print(" Simulation count: $n");
+  print(" Random play wins: ${playRandom(n).toStringAsFixed(2)}% of simulations");
+  print("Optimal play wins: ${playOptimal(n).toStringAsFixed(2)}% of simulations");
+}