title: Count Numbers Can Constructed Using Two Numbers
signature: countNumbersCanConstructedUsingTwoNumbers :: Integer -> Integer -> Integer -> Integer
  countNumbersCanConstructedUsingTwoNumbers n x y = 
test_code: import Text.Printf
  import Control.Exception (catch, SomeException)
  import Data.Typeable
  import qualified Data.List as List
  import qualified Data.Map as Map
  import qualified Data.Set as Set
  
  -- SOLUTION CODE
  -- ============================================
  
  PLACEHOLDER_CODE_BODY
  
  -- TESTING CODE 
  -- ============================================
  validateSolution :: Integer -> Integer -> Bool
  validateSolution actual expected = do
      actual == expected
  
  
  driver :: Integer -> Integer -> Integer -> Integer -> String
  driver n x y expected = do
      if (validateSolution (PLACEHOLDER_FN_NAME n x y) expected)
          then "PASSED"
      else "FAILED"
  
  main = do
      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) )
  
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;
  }