title: Subsequences Size Three Array Whose Sum Divisible M
signature: function subsequences_size_three_array_whose_sum_divisible_m(a, n, m)
source_py: def subsequences_size_three_array_whose_sum_divisible_m(A, N, M):
      sum = 0
      ans = 0
      for i in range(0, N):
          for j in range((i + 1), N):
              for k in range((j + 1), N):
                  sum = ((A[i] + A[j]) + A[k])
                  if ((sum % M) == 0):
                      ans = (ans + 1)
      return ans
source_cpp: int subsequences_size_three_array_whose_sum_divisible_m(vector<int> A, int N, int M) {
    int sum = 0;
    int ans = 0;
    for ( int i = 0;
    i < N;
    i ++ ) {
      for ( int j = i + 1;
      j < N;
      j ++ ) {
        for ( int k = j + 1;
        k < N;
        k ++ ) {
          sum = A [ i ] + A [ j ] + A [ k ];
          if ( sum % M == 0 ) ans ++;
        }
      }
    }
    return ans;
  }
question_info.entry_fn_name: subsequences_size_three_array_whose_sum_divisible_m
question_info.entry_cls_name: Solution
question_info.test_case_ids: ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']
question_info.test_code: 
  
  -- SOLUTION CODE
  -- ============================================
  PLACEHOLDER_CODE_BODY
  
  -- TESTING CODE 
  -- ============================================
  function isCorrect(actual, expected)
      if type(expected) ~= type(actual) then
          return false
      end
      
      if type(expected) == 'table' then
          for k,v_expected in pairs(expected) do
              
              if actual[k] == nil then
                  return false
              end
              local v_actual = actual[k]
              if not isCorrect(v_actual, v_expected) then
                  return false
              end
              actual[k]=nil
          end
      
          if next(actual) then 
              return false
          end
          return true
      else
          return actual == expected
      end
  end
  
  function validateSolution(actual, expected)
      return isCorrect(actual,expected)
  end
  
  function driver(a, n, m, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(a, n, m) 
      end)
      if status then
          if validateSolution(exec_result,expected) then
              return "PASSED"
          end
          return "FAILED"
      else
          return string.format("ERROR=%s",string.gsub(error_msg,".*:[%d]+: ",""))
      end
  end
      
  function main()
      result = driver({14, 35, 56, 70, 88}, 3, 4, 0)
      print(string.format("TEST-0...%s",result))
  
      result = driver({-50, -92, 16, -68, -36}, 3, 4, 0)
      print(string.format("TEST-1...%s",result))
  
      result = driver({0, 0, 0, 1, 1, 1}, 4, 5, 1)
      print(string.format("TEST-2...%s",result))
  
      result = driver({76, 43, 22, 41, 49, 99, 25, 40, 3, 45, 60, 16, 83, 62, 26, 93, 64, 73, 72, 53, 6, 32, 35, 67, 17}, 14, 21, 19)
      print(string.format("TEST-3...%s",result))
  
      result = driver({-90, -86, -86, -66, -50, -48, -44, -42, -42, -38, -24, -22, -20, -18, -8, 8, 24, 28, 34, 48, 60, 62, 66, 68, 74, 76, 80, 82, 88}, 24, 20, 207)
      print(string.format("TEST-4...%s",result))
  
      result = driver({1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0}, 24, 30, 120)
      print(string.format("TEST-5...%s",result))
  
      result = driver({4, 5, 8, 9, 10, 12, 13, 16, 17, 18, 21, 21, 25, 27, 28, 30, 36, 36, 54, 55, 56, 57, 60, 62, 67, 67, 68, 71, 72, 72, 73, 73, 77, 77, 83, 86, 86, 86, 87, 89, 92, 92, 96, 97, 97, 98}, 24, 23, 85)
      print(string.format("TEST-6...%s",result))
  
      result = driver({-64, 52, -32, 38, 8, -62, -56, 20, 72, -12, 32, 44}, 6, 6, 2)
      print(string.format("TEST-7...%s",result))
  
      result = driver({0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, 12, 15, 220)
      print(string.format("TEST-8...%s",result))
  
      result = driver({77, 68, 45, 6, 27, 19, 29, 95, 21, 2, 39, 48, 72, 67, 49, 45, 1, 16, 56, 78, 25, 22, 27, 40, 31, 34, 26, 35, 12}, 25, 25, 92)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.test_list: [{"idx": 0, "outputs": 0, "inputs": {"a": [14, 35, 56, 70, 88], "n": 3, "m": 4}}, {"idx": 1, "outputs": 0, "inputs": {"a": [-50, -92, 16, -68, -36], "n": 3, "m": 4}}, {"idx": 2, "outputs": 1, "inputs": {"a": [0, 0, 0, 1, 1, 1], "n": 4, "m": 5}}, {"idx": 3, "outputs": 19, "inputs": {"a": [76, 43, 22, 41, 49, 99, 25, 40, 3, 45, 60, 16, 83, 62, 26, 93, 64, 73, 72, 53, 6, 32, 35, 67, 17], "n": 14, "m": 21}}, {"idx": 4, "outputs": 207, "inputs": {"a": [-90, -86, -86, -66, -50, -48, -44, -42, -42, -38, -24, -22, -20, -18, -8, 8, 24, 28, 34, 48, 60, 62, 66, 68, 74, 76, 80, 82, 88], "n": 24, "m": 20}}, {"idx": 5, "outputs": 120, "inputs": {"a": [1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0], "n": 24, "m": 30}}, {"idx": 6, "outputs": 85, "inputs": {"a": [4, 5, 8, 9, 10, 12, 13, 16, 17, 18, 21, 21, 25, 27, 28, 30, 36, 36, 54, 55, 56, 57, 60, 62, 67, 67, 68, 71, 72, 72, 73, 73, 77, 77, 83, 86, 86, 86, 87, 89, 92, 92, 96, 97, 97, 98], "n": 24, "m": 23}}, {"idx": 7, "outputs": 2, "inputs": {"a": [-64, 52, -32, 38, 8, -62, -56, 20, 72, -12, 32, 44], "n": 6, "m": 6}}, {"idx": 8, "outputs": 220, "inputs": {"a": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "n": 12, "m": 15}}, {"idx": 9, "outputs": 92, "inputs": {"a": [77, 68, 45, 6, 27, 19, 29, 95, 21, 2, 39, 48, 72, 67, 49, 45, 1, 16, 56, 78, 25, 22, 27, 40, 31, 34, 26, 35, 12], "n": 25, "m": 25}}]