title: Count Numbers Can Constructed Using Two Numbers
signature: countNumbersCanConstructedUsingTwoNumbers(n, x, y) {
test_code: import 'dart:convert';
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE 
  // ============================================
  bool validateSolution(int actual, int expected){
      return actual.toString() == expected.toString();
  }
  
  String driver(n, x, y, int expected){
      try
      {
          if (validateSolution(PLACEHOLDER_FN_NAME(n, x, y), expected)){
              return "PASSED";
          }
          return "FAILED";
      }catch(exception_object){
          return exception_object.runtimeType.toString();
      }
  }
  
  int main() {
  
      print("TEST-0...${driver(
          23, 16, 16, 
          1)
      }");
  
      print("TEST-1...${driver(
          56, 95, 6, 
          9)
      }");
  
      print("TEST-2...${driver(
          30, 63, 1, 
          30)
      }");
  
      print("TEST-3...${driver(
          51, 89, 46, 
          1)
      }");
  
      print("TEST-4...${driver(
          21, 99, 38, 
          0)
      }");
  
      print("TEST-5...${driver(
          69, 63, 50, 
          2)
      }");
  
      print("TEST-6...${driver(
          12, 69, 73, 
          0)
      }");
  
      print("TEST-7...${driver(
          44, 52, 9, 
          4)
      }");
  
      print("TEST-8...${driver(
          99, 65, 10, 
          13)
      }");
  
      print("TEST-9...${driver(
          46, 58, 37, 
          1)
      }");
  
      return 0;
  }
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;
  }