title: Maximum Binomial Coefficient Term Value
signature: function maximum_binomial_coefficient_term_value(n)
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(n, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(n) 
      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(23, 1352078)
      print(string.format("TEST-0...%s",result))
  
      result = driver(41, 269128937220)
      print(string.format("TEST-1...%s",result))
  
      result = driver(56, 7648690600760440)
      print(string.format("TEST-2...%s",result))
  
      result = driver(38, 35345263800)
      print(string.format("TEST-3...%s",result))
  
      result = driver(26, 10400600)
      print(string.format("TEST-4...%s",result))
  
      result = driver(52, 495918532948104)
      print(string.format("TEST-5...%s",result))
  
      result = driver(44, 2104098963720)
      print(string.format("TEST-6...%s",result))
  
  end
  
  main()
source_py: def maximum_binomial_coefficient_term_value(n):
      C = [[0 for x in range((n + 1))] for y in range((n + 1))]
      for i in range((n + 1)):
          for j in range((min(i, n) + 1)):
              if ((j == 0) or (j == i)):
                  C[i][j] = 1
              else:
                  C[i][j] = (C[(i - 1)][(j - 1)] + C[(i - 1)][j])
      maxvalue = 0
      for i in range((n + 1)):
          maxvalue = max(maxvalue, C[n][i])
      return maxvalue
source_cpp: int maximum_binomial_coefficient_term_value(int n) {
    int C [ n + 1 ] [ n + 1 ];
    for ( int i = 0;
    i <= n;
    i ++ ) {
      for ( int j = 0;
      j <= min ( i, n );
      j ++ ) {
        if ( j == 0 || j == i ) C [ i ] [ j ] = 1;
        else C [ i ] [ j ] = C [ i - 1 ] [ j - 1 ] + C [ i - 1 ] [ j ];
      }
    }
    int maxvalue = 0;
    for ( int i = 0;
    i <= n;
    i ++ ) maxvalue = max ( maxvalue, C [ n ] [ i ] );
    return maxvalue;
  }