title: Count Numbers Can Constructed Using Two Numbers
signature: function countNumbersCanConstructedUsingTwoNumbers($n, $x, $y) {
test_code: <?php
  
  
  // SOLUTION CODE 
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE 
  // ============================================
  function validateSolution($actual, $expected){
      return serialize($actual) == serialize($expected);
  }
  
  function driver($n, $x, $y, $expected){
      try{
        if (validateSolution(PLACEHOLDER_FN_NAME($n, $x, $y), $expected)){
          return "PASSED";
        }
        return "FAILED";
      }
      catch (Exception $exception_obj) {
        return get_class($exception_obj);
      }
  }
  
  function main(){
      printf("TEST-0...%s\n",driver(
        23, 16, 16, 
        1));
      
      printf("TEST-1...%s\n",driver(
        56, 95, 6, 
        9));
      
      printf("TEST-2...%s\n",driver(
        30, 63, 1, 
        30));
      
      printf("TEST-3...%s\n",driver(
        51, 89, 46, 
        1));
      
      printf("TEST-4...%s\n",driver(
        21, 99, 38, 
        0));
      
      printf("TEST-5...%s\n",driver(
        69, 63, 50, 
        2));
      
      printf("TEST-6...%s\n",driver(
        12, 69, 73, 
        0));
      
      printf("TEST-7...%s\n",driver(
        44, 52, 9, 
        4));
      
      printf("TEST-8...%s\n",driver(
        99, 65, 10, 
        13));
      
      printf("TEST-9...%s\n",driver(
        46, 58, 37, 
        1));
      
  }
  
  main();
  ?>
source_py: def count_numbers_can_constructed_using_two_numbers(n, x, y):
      arr = [False for i in range((n + 2))]
      if (x <= n):
          arr[x] = True
      if (y <= n):
          arr[y] = True
      result = 0
      for i in range(min(x, y), (n + 1)):
          if arr[i]:
              if ((i + x) <= n):
                  arr[(i + x)] = True
              if ((i + y) <= n):
                  arr[(i + y)] = True
              result = (result + 1)
      return result
source_cpp: int count_numbers_can_constructed_using_two_numbers(int n, int x, int y) {
    vector < bool > arr ( n + 1, false );
    if ( x <= n ) arr [ x ] = true;
    if ( y <= n ) arr [ y ] = true;
    int result = 0;
    for ( int i = min ( x, y );
    i <= n;
    i ++ ) {
      if ( arr [ i ] ) {
        if ( i + x <= n ) arr [ i + x ] = true;
        if ( i + y <= n ) arr [ i + y ] = true;
        result ++;
      }
    }
    return result;
  }