title: Sum Of All Elements Up To Nth Row In A Pascals Triangle 1
signature: function sumOfAllElementsUpToNthRowInAPascalsTriangle1($n) {
test_code: <?php
  
  
  // SOLUTION CODE 
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE 
  // ============================================
  function validateSolution($actual, $expected){
      return serialize($actual) == serialize($expected);
  }
  
  function driver($n, $expected){
      try{
        if (validateSolution(PLACEHOLDER_FN_NAME($n), $expected)){
          return "PASSED";
        }
        return "FAILED";
      }
      catch (Exception $exception_obj) {
        return get_class($exception_obj);
      }
  }
  
  function main(){
      printf("TEST-0...%s\n",driver(
        53, 
        9007199254740991));
      
      printf("TEST-1...%s\n",driver(
        3, 
        7));
      
      printf("TEST-2...%s\n",driver(
        28, 
        268435455));
      
      printf("TEST-3...%s\n",driver(
        44, 
        17592186044415));
      
      printf("TEST-4...%s\n",driver(
        46, 
        70368744177663));
      
      printf("TEST-5...%s\n",driver(
        3, 
        7));
      
      printf("TEST-6...%s\n",driver(
        16, 
        65535));
      
  }
  
  main();
  ?>
source_py: def sum_of_all_elements_up_to_nth_row_in_a_pascals_triangle_1(n):
      sum = 0
      sum = (1 << n)
      return (sum - 1)
source_cpp: long long int sum_of_all_elements_up_to_nth_row_in_a_pascals_triangle_1(int n) {
    long long int sum = 0;
    sum = 1 << n;
    return ( sum - 1 );
  }