123 Generator: Queue Expansion Quest

📋 OBJECTIVE

Generate the first N numbers that can be formed using only digits 1, 2, and 3, in ascending order.

Sequence: 1, 2, 3, 11, 12, 13, 21, 22, 23, 31, 32, 33, 111...

📝 ALGORITHM

function generate123(n) {
  queue = ["1", "2", "3"];
  result = [];
  
  while (result.length < n) {
    // Dequeue front
    curr = queue.shift();
    result.push(curr);
    
    // Generate & enqueue
    queue.push(curr + "1");
    queue.push(curr + "2");
    queue.push(curr + "3");
  }
  
  return result;
}

💡 INSIGHT

This is a BFS (Breadth-First Search) approach! Each number generates 3 children by appending 1, 2, 3. BFS ensures ascending order.

🏭 NUMBER FACTORY Ready to generate numbers!

Generate N = numbers

0 / 10 generated

📥 QUEUE (Waiting Numbers)

✅ GENERATED SEQUENCE

No numbers generated yet...

🔢 123 GENERATOR

Success!