struct Node {
  int val;
  bool hasleft;
  bool hasright;
  Node left;
  Node right
}

void treemap(Node t, (int) -> int f) {
  t.val = f(t.val);
  if (t.hasleft) {
    treemap(t.left, f);
  }
  if (t.hasright) {
    treemap(t.right, f);
  }
  return;
}

bool for_all(Node t, (int) -> bool pred) {
  var result = pred(t.val);
  if(t.hasleft & t.hasright) {
    return result & for_all(t.left, pred) & for_all(t.right, pred);
  } else if (t.hasleft) {
    return result & for_all(t.left, pred);
  } else if (t.hasright) {
    return result & for_all(t.right, pred);
  }

  return result;
}

bool xor(bool b1, bool b2) {
  return (b1 | b2) & !(b1 & b2);
}

bool tree_eq (Node t1, Node t2) {
  if (t1.val != t2.val) {
    return false;
  } else {
    var flag = true;
    if (t1.hasleft & t2.hasleft) {
      flag = flag & tree_eq(t1.left, t2.left);
    }
    if (t1.hasright & t2.hasright) {
      flag = flag & tree_eq(t1.right, t2.right);
    }
    if (xor(t1.hasleft, t2.hasleft)) {
      return false;
    }
    if (xor(t1.hasright, t2.hasright)) {
      return false;
    }
    return flag;
  }
}

int double(int i) {
  return i*2;
}

bool pred_lt_6 (int i) {
  return i < 6;
}

int program(int argc, string[] argv) {
  var a1 = new Node{val = 1; hasleft = false; hasright = false; left = Node null; right = Node null };
  var a2 = new Node{val = 2; hasleft = true; hasright = false; left = a1; right = Node null };
  var a3 = new Node{val = 3; hasleft = false; hasright = false; left = Node null; right = Node null };
  var a4 = new Node{val = 4; hasleft = true; hasright = true; left = a2; right = a3 };
  var a5 = new Node{val = 5; hasleft = false; hasright = false; left = Node null; right = Node null };
  var root = new Node{val = 0; hasleft = true; hasright = true; left = a5; right = a4 };

  var b1 = new Node{val = 1; hasleft = false; hasright = false; left = Node null; right = Node null };
  var b6 = new Node{val = 6; hasleft = false; hasright = false; left = Node null; right = Node null };
  var b2 = new Node{val = 2; hasleft = true; hasright = true; left = b1; right = b6 };
  var b3 = new Node{val = 3; hasleft = false; hasright = false; left = Node null; right = Node null };
  var b4 = new Node{val = 4; hasleft = true; hasright = true; left = b2; right = b3 };
  var b5 = new Node{val = 5; hasleft = false; hasright = false; left = Node null; right = Node null };
  var root2 = new Node{val = 0; hasleft = true; hasright = true; left = b5; right = b4 };

  var c1 = new Node{val = 2; hasleft = false; hasright = false; left = Node null; right = Node null };
  var c2 = new Node{val = 4; hasleft = true; hasright = false; left = c1; right = Node null };
  var c3 = new Node{val = 6; hasleft = false; hasright = false; left = Node null; right = Node null };
  var c4 = new Node{val = 8; hasleft = true; hasright = true; left = c2; right = c3 };
  var c5 = new Node{val = 10; hasleft = false; hasright = false; left = Node null; right = Node null };
  var root3 = new Node{val = 0; hasleft = true; hasright = true; left = c5; right = c4 };

  if (tree_eq(root,root)) {
    print_string("1");
  }

  if (tree_eq(root2,root2)) {
    print_string("2");
  }

  if (!tree_eq(root,root2)) {
    print_string("3");
  }

  if (!tree_eq(root2,root)) {
    print_string("4");
  }

  if (for_all(root, pred_lt_6)) {
    print_string("5");
  }

  treemap(root,double);
  if (tree_eq(root, root3)) {
    print_string("6");
  }

  if (!for_all(root, pred_lt_6)) {
    print_string("7");
  }

  return 0;
}