title: Multiply Large Integers Under Large Modulo
signature: function multiply_large_integers_under_large_modulo(a, b, mod_arg2)
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, b, mod_arg2, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(a, b, mod_arg2) 
      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(60, 24, 58, 48)
      print(string.format("TEST-0...%s",result))
  
      result = driver(46, 43, 29, 6)
      print(string.format("TEST-1...%s",result))
  
      result = driver(4, 50, 71, 58)
      print(string.format("TEST-2...%s",result))
  
      result = driver(67, 1, 66, 1)
      print(string.format("TEST-3...%s",result))
  
      result = driver(93, 35, 73, 43)
      print(string.format("TEST-4...%s",result))
  
      result = driver(89, 97, 8, 1)
      print(string.format("TEST-5...%s",result))
  
      result = driver(8, 78, 55, 19)
      print(string.format("TEST-6...%s",result))
  
      result = driver(53, 73, 22, 19)
      print(string.format("TEST-7...%s",result))
  
      result = driver(96, 92, 83, 34)
      print(string.format("TEST-8...%s",result))
  
      result = driver(38, 64, 83, 25)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
source_py: def multiply_large_integers_under_large_modulo(a, b, mod):
      res = 0
      a = (a % mod)
      while b:
          if (b & 1):
              res = ((res + a) % mod)
          a = ((2 * a) % mod)
          b >>= 1
      return res
source_cpp: long long multiply_large_integers_under_large_modulo(long long a, long long b, long long mod) {
    long long res = 0;
    a %= mod;
    while ( b ) {
      if ( b & 1 ) res = ( res + a ) % mod;
      a = ( 2 * a ) % mod;
      b >>= 1;
    }
    return res;
  }