欢迎您访问程序员文章站本站旨在为大家提供分享程序员计算机编程知识!
您现在的位置是: 首页  >  IT编程

python实现AES加密解密

程序员文章站 2023-11-20 15:26:46
本文实例为大家分享了python实现aes加密解密的具体代码,供大家参考,具体内容如下 (1)对于aes加密解密相关知识 (2)实现的功能就是输入0-16个字符,然...

本文实例为大家分享了python实现aes加密解密的具体代码,供大家参考,具体内容如下

(1)对于aes加密解密相关知识

(2)实现的功能就是输入0-16个字符,然后经过aes的加密解密最后可以得到原先的输入,运行的结果如下

python实现AES加密解密

开始的字符串就是输入的明文,第一个矩阵,是明文对应的状态矩阵,下面的字典是得到的经过扩展后的密钥,再下面的矩阵是经过加密之后的矩阵,最后的矩阵就是解密之后的矩阵,最后的输出就是还原的明文,可以发现aes加密解密的过程没毛病。

(3)字节代换:输入输出都是十六进制的矩阵格式,define_byte_subdtitution()函数的功能是完成字节代换,首先使用hex_to_int_number()函数将十六进制数转换为对应的十进制数,然后到s盒与逆s盒中进行字节的代换,这个过程中比较麻烦的是s盒与逆s盒数据的输入,好家伙。而逆字节代换就是使用逆s盒;

(4)行移位:输入输出都是十六进制的矩阵格式,define_line_shift()函数是在加密时使用的,define_line_inverse_shift()函数是在解密时使用的;

(5)列混合:输入是使用的十进制矩阵,输出是十六进制的矩阵,在列混合前为了方便操作,使用函数define_column_rotation()将矩阵进行了行列交换位置,然后对每一个数据进行操作,get_2()函数是实现与2相乘的结果,在加密与解密中会多次用到,xor()函数实现两个二进制数的异或操作,在逆列混合中就是左乘的矩阵有所不同;

(6)轮密钥加:输入输出都是十六进制的矩阵格式,在进行加密解密之前先将密钥进行扩展,得到加解密过程中使用的所有的密钥,并放在一个字典中,然后在加密解密过程中使用相应的密钥即可,get_extend_key()函数得到扩展密钥,一共有44个字,每次在进行轮密钥加时使用4个字,get_round_key_plus()函数实现轮密钥加的操作,就是进行异或操作;

(7)最后就是实现加密与解密的详细的过程,其中的九轮是一样的,最后一轮单独拿出来进行处理即可,主要的问题可能会出现在一些小细节的处理上,像我遇到的就是在解密中控制使用轮密钥的变量k,开始把k放在了10轮循环中,导致k的值一直是初值没有改变,所以加密解密没有成功,之后我就在各个步骤中一个一个的测试,发现字节代换,行移位,列混合,甚至轮密钥加单独使用的时候都可以实现还原明文,然后,我又仔细的检查了下,加密解密的函数,终于发现了这个问题,问题虽小,但是影响很大,使得整个的程序没有得到预想的结果,幸好最后的结局还算满意,就是写的代码有点乱,自己也懒得改了,希望有大佬要是有什么意见,可以随时交流。

import random
 
def get_matrix_of_clear_number(clear_number):
 #得到输入数据对应的十六进制ascii码矩阵
 dir = {0:[], 1:[], 2:[], 3:[]}
 length = len(clear_number)
 for i in range(length):
 number = ord(clear_number[i])
 dir[i % 4].append(hex(number))
 return dir
 
def get_matrix_of_cipher_number():
 #得到随机生成的密钥的十六进制矩阵 
 dir_number = {10:"a", 11:"b", 12:"c", 13:"d", 14:"e", 15:"f"}
 string = ''
 for i in range(16):
 number = int(random.random() * 16)
 if(number >= 10):
  number = dir_number[number]
 else:
  number = str(number)
 string = string + number
 
 dir = get_matrix_of_clear_number(string)
 return dir
 
def define_s_box(fir_num, last_num):
 #定义s盒
 dir = {
 0:['0x63', '0x7c', '0x77', '0x7b', '0xf2', '0x6b', '0x6f', '0xc5', '0x30', '0x01', '0x67', '0x2b', 
 '0xfe', '0xd7', '0xab', '0x76'],
 1:['0xca', '0x82', '0xc9', '0x7d', '0xfa', '0x59', '0x47', '0xf0', '0xad', '0xd4', '0xa2', '0xaf', '0x9c', '0xa4', '0x72', '0xc0'],
 2:['0xb7', '0xfd', '0x93', '0x26', '0x36', '0x3f', '0xf7', '0xcc', '0x34', '0xa5', '0xe5', '0xf1',  '0x71', '0xd8', '0x31', '0x15'],
 3:['0x04', '0xc7', '0x23', '0xc3', '0x18', '0x96', '0x05', '0x9a', '0x07', '0x12', '0x80', '0xe2', '0xeb', '0x27', '0xb2', '0x75'],
 4:['0x09', '0x83', '0x2c', '0x1a', '0x1b', '0x6e', '0x5a', '0xa0', '0x52', '0x3b', '0xd6', '0xb3', '0x29', '0xe3', '0x2f', '0x84'],
 5:['0x53', '0xd1', '0x00', '0xed', '0x20', '0xfc', '0xb1', '0x5b', '0x6a', '0xcb', '0xbe', '0x39', '0x4a', '0x4c', '0x58', '0xcf'],
 6:['0xd0', '0xef', '0xaa', '0xfb', '0x43', '0x4d', '0x33', '0x85', '0x45', '0xf9', '0x02', '0x7f', 
 '0x50', '0x3c', '0x9f', '0xa8'],
 7:['0x51', '0xa3', '0x40', '0x8f', '0x92', '0x9d', '0x38', '0xf5', '0xbc', '0xb6', '0xda', '0x21', 
 '0x10', '0xff', '0xf3', '0xd2'],
 8:['0xcd', '0x0c', '0x13', '0xec', '0x5f', '0x97', '0x44', '0x17', '0xc4', '0xa7', '0x7e', '0x3d', 
 '0x64', '0x5d', '0x19', '0x73'],
 9:['0x60', '0x81', '0x4f', '0xdc', '0x22', '0x2a', '0x90', '0x88', '0x46', '0xee', '0xb8', '0x14', 
 '0xde', '0x5e', '0x0b', '0xdb'],
 10:['0xe0', '0x32', '0x3a', '0x0a', '0x49', '0x06', '0x24', '0x5c', '0xc2', '0xd3', '0xac', '0x62', '0x91', '0x95', '0xe4', '0x79'],
 11:['0xe7', '0xc8', '0x37', '0x6d', '0x8d', '0xd5', '0x4e', '0xa9', '0x6c', '0x56', '0xf4', '0xea', '0x65', '0x7a', '0xae', '0x08'],
 12:['0xba', '0x78', '0x25', '0x2e', '0x1c', '0xa6', '0xb4', '0xc6', '0xe8', '0xdd', '0x74', '0x1f', '0x4b', '0xbd', '0x8b', '0x8a'],
 13:['0x70', '0x3e', '0xb5', '0x66', '0x48', '0x03', '0xf6', '0x0e', '0x61', '0x35', '0x57', '0xb9', '0x86', '0xc1', '0x1d', '0x9e'],
 14:['0xe1', '0xf8', '0x98', '0x11', '0x69', '0xd9', '0x8e', '0x94', '0x9b', '0x1e', '0x87', '0xe9', '0xce', '0x55', '0x28', '0xdf'],
 15:['0x8c', '0xa1', '0x89', '0x0d', '0xbf', '0xe6', '0x42', '0x68', '0x41', '0x99', '0x2d', '0x0f', '0xb0', '0x54', '0xbb', '0x16']
 } 
 return (dir[fir_num][last_num])
 
def define_inverse_s_box(fir_num, last_num):
 #定义s逆盒
 dir = {
 0:['0x52', '0x09', '0x6a', '0xd5', '0x30', '0x36', '0xa5', '0x38', '0xbf', '0x40', '0xa3', '0x9e', '0x81', '0xf3', '0xd7', '0xfb'],
 1:['0x7c', '0xe3', '0x39', '0x82', '0x9b', '0x2f', '0xff', '0x87', '0x34', '0x8e', '0x43', '0x44', '0xc4', '0xde', '0xe9', '0xcb'],
 2:['0x54', '0x7b', '0x94', '0x32', '0xa6', '0xc2', '0x23', '0x3d', '0xee', '0x4c', '0x95', '0x0b', '0x42', '0xfa', '0xc3', '0x4e'],
 3:['0x08', '0x2e', '0xa1', '0x66', '0x28', '0xd9', '0x24', '0xb2', '0x76', '0x5b', '0xa2', '0x49', '0x6d', '0x8b', '0xd1', '0x25'],
 4:['0x72', '0xf8', '0xf6', '0x64', '0x86', '0x68', '0x98', '0x16', '0xd4', '0xa4', '0x5c', '0xcc', '0x5d', '0x65', '0xb6', '0x92'],
 5:['0x6c', '0x70', '0x48', '0x50', '0xfd', '0xed', '0xb9', '0xda', '0x5e', '0x15', '0x46', '0x57', '0xa7', '0x8d', '0x9d', '0x84'],
 6:['0x90', '0xd8', '0xab', '0x00', '0x8c', '0xbc', '0xd3', '0x0a', '0xf7', '0xe4', '0x58', '0x05', '0xb8', '0xb3', '0x45', '0x06'],
 7:['0xd0', '0x2c', '0x1e', '0x8f', '0xca', '0x3f', '0x0f', '0x02', '0xc1', '0xaf', '0xbd', '0x03', '0x01', '0x13', '0x8a', '0x6b'],
 8:['0x3a', '0x91', '0x11', '0x41', '0x4f', '0x67', '0xdc', '0xea', '0x97', '0xf2', '0xcf', '0xce', '0xf0', '0xb4', '0xe6', '0x73'],
 9:['0x96', '0xac', '0x74', '0x22', '0xe7', '0xad', '0x35', '0x85', '0xe2', '0xf9', '0x37', '0xe8', '0x1c', '0x75', '0xdf', '0x6e'],
 10:['0x47', '0xf1', '0x1a', '0x71', '0x1d', '0x29', '0xc5', '0x89', '0x6f', '0xb7', '0x62', '0x0e', '0xaa', '0x18', '0xbe', '0x1b'],
 11:['0xfc', '0x56', '0x3e', '0x4b', '0xc6', '0xd2', '0x79', '0x20', '0x9a', '0xdb', '0xc0', '0xfe', '0x78', '0xcd', '0x5a', '0xf4'],
 12:['0x1f', '0xdd', '0xa8', '0x33', '0x88', '0x07', '0xc7', '0x31', '0xb1', '0x12', '0x10', '0x59', '0x27', '0x80', '0xec', '0x5f'],
 13:['0x60', '0x51', '0x7f', '0xa9', '0x19', '0xb5', '0x4a', '0x0d', '0x2d', '0xe5', '0x7a', '0x9f', '0x93', '0xc9', '0x9c', '0xef'],
 14:['0xa0', '0xe0', '0x3b', '0x4d', '0xae', '0x2a', '0xf5', '0xb0', '0xc8', '0xeb', '0xbb', '0x3c', '0x83', '0x53', '0x99', '0x61'],
 15:['0x17', '0x2b', '0x04', '0x7e', '0xba', '0x77', '0xd6', '0x26', '0xe1', '0x69', '0x14', '0x63', '0x55', '0x21', '0x0c', '0x7d']
 
 } 
 return (dir[fir_num][last_num])
 
def hex_to_int_number(hex_num, flag):
 #十六进制矩阵转换为十进制矩阵
 number = int(hex_num, 16)
 int_num = number // 16
 int_re = number % 16
 if flag == 1:
 my_number = define_s_box(int_num, int_re)
 else:
 my_number = define_inverse_s_box(int_num, int_re)
 return my_number 
 
def define_byte_subdtitution(dir_new_number, flag):
 #定义字节代换
 dir_1 = {0:[], 1:[], 2:[], 3:[]}
 for j in range(4):
 list_new = []
 list = dir_new_number[j]
 for k in range(4): 
  new_num = hex_to_int_number(list[k], flag)
  list_new.append(new_num)
 dir_1[j] = list_new
 return dir_1
 
 
def define_line_shift(dir_clear_number):
 #进行行移位操作
 for i in range(4):
 my_list = []
 list = dir_clear_number[i]
 for j in range(4):
  my_list.append(list[(j + i) % 4])
 dir_clear_number[i] = my_list
 return dir_clear_number
 
def define_line_inverse_shift(dir_clear_number):
 #进行行移位的逆操作
 for i in range(4):
 my_list = []
 list = dir_clear_number[i]
 for j in range(4):
  my_list.append(list[(j + 4 - i) % 4])
 dir_clear_number[i] = my_list
 return dir_clear_number
 
 
def xor(string_1, string_2):
 #得到异或后的十进制结果 
 decimal_result = 0
 for i in range(8):
 if string_1[i] != string_2[i]:
  decimal_result += 2 ** (7 - i)
 
 return decimal_result
 
def dex_to_int(string):
 #得到数据二进制到十进制的转换
 my_result = 0
 for k in range(8): 
 if string[k] == '1':
  my_result += 2 ** (7 - k)
 return my_result 
  
def get_2(last_num):
 #得到列混合中乘以2的结果 
 last_num_copy = last_num
 last_num_copy = bin(last_num_copy)[2:].rjust(8, '0')
 judge_num = bin(last_num)[2:] 
 judge_num = last_num_copy[0]
 last_num_copy = last_num_copy[1:]
 last_num_copy += '0'
 
 if judge_num == '1':
 string_judge = '00011011' 
 last_num_copy = bin(xor(string_judge, last_num_copy))[2:].rjust(8, '0') 
 return last_num_copy
 
def define_column_rotation(dir_clear_number_copy):
 #在列混合中先将列进行旋转
 dir_clear_number = {0:[], 1:[], 2:[], 3:[]}
 for key, num in dir_clear_number_copy.items():
 list = num 
 for i in range(4):
  dir_clear_number[i].append(list[i]) 
 return dir_clear_number
 
def define_column_hybrid(dir_clear_number_copy):
 #进行列混合操作,得到对应的十六进制的矩阵 
 dir_matrix = {
 0:[2, 3, 1, 1],
 1:[1, 2, 3, 1],
 2:[1, 1, 2, 3],
 3:[3, 1, 1, 2]
 }
 dir_clear_number = define_column_rotation(dir_clear_number_copy) 
 dir_new_clear_number = {0:[], 1:[], 2:[], 3:[]}
 
 for i in range(4): 
 list_matrix = dir_matrix[i]
 list = []
 for j in range(4): 
  list_num = dir_clear_number[j] 
  string = '' 
  my_string = '00000000'
 
  for k in range(4):
  if list_matrix[k] == 2:
   string = get_2(list_num[k])
  if list_matrix[k] == 3:
   string = get_2(list_num[k])
   list_num_copy = bin(list_num[k])[2:].rjust(8, '0')
   string = bin(xor(string, list_num_copy))[2:].rjust(8, '0')
  if list_matrix[k] == 1:
   string = bin(list_num[k])[2:].rjust(8, '0') 
  my_string = bin(xor(my_string, string))[2:].rjust(8, '0')
  my_result = dex_to_int(my_string)
  list.append(hex(my_result))
  dir_new_clear_number[i] = list
 return dir_new_clear_number
 
def define_inverse_column_hybrid(dir_clear_number_copy):
 #进行列混合逆操作,得到对应的十六进制的矩阵 
 dir_matrix = {
 0:[14, 11, 13, 9],
 1:[9, 14, 11, 13],
 2:[13, 9, 14, 11],
 3:[11, 13, 9, 14]
 }
 dir_clear_number = define_column_rotation(dir_clear_number_copy)
 
 dir_new_clear_number = {0:[], 1:[], 2:[], 3:[]}
 for i in range(4): 
 list_matrix = dir_matrix[i]
 list = []
 for j in range(4): 
  list_num = dir_clear_number[j] 
  string = '' 
  my_string = '00000000'
  my_result = 0 
   
  for k in range(4):
  if list_matrix[k] == 14:
   string_1 = get_2(list_num[k])
   string_1_int = dex_to_int(string_1)
   string_2 = get_2(string_1_int)
   string_2_int = dex_to_int(string_2)
   string_3 = get_2(string_2_int)
   string = bin(xor(string_2, string_1))[2:].rjust(8, '0')
   string = bin(xor(string, string_3))[2:].rjust(8, '0')
  if list_matrix[k] == 11:
   string_1 = get_2(list_num[k])
   string_1_int = dex_to_int(string_1)
   string_2 = get_2(string_1_int)
   string_2_int = dex_to_int(string_2)
   string_3 = get_2(string_2_int)
   
   string_4 = bin(list_num[k])[2:].rjust(8, '0') 
   string = bin(xor(string_3, string_1))[2:].rjust(8, '0')
   string = bin(xor(string, string_4))[2:].rjust(8, '0')
   
  if list_matrix[k] == 13:
   string_1 = get_2(list_num[k])
   string_1_int = dex_to_int(string_1)
   string_2 = get_2(string_1_int)
   string_2_int = dex_to_int(string_2)
   string_3 = get_2(string_2_int)
   
   string_4 = bin(list_num[k])[2:].rjust(8, '0') 
   string = bin(xor(string_3, string_2))[2:].rjust(8, '0')
   string = bin(xor(string, string_4))[2:].rjust(8, '0')
  if list_matrix[k] == 9:
   string_1 = get_2(list_num[k])
   string_1_int = dex_to_int(string_1)
   string_2 = get_2(string_1_int)
   string_2_int = dex_to_int(string_2)
   string_3 = get_2(string_2_int)
   
   string_4 = bin(list_num[k])[2:].rjust(8, '0')
   string = bin(xor(string_3, string_4))[2:].rjust(8, '0')
 
  my_string = bin(xor(my_string, string))[2:].rjust(8, '0')
 
  my_result = dex_to_int(my_string)
  list.append(hex(my_result))
  dir_new_clear_number[i] = list
 return dir_new_clear_number
 
def hex_to_int(dir_clear_number):
 #将十六进制的矩阵转换为十进制的矩阵
 dir_clear_number_copy = {0:[], 1:[], 2:[], 3:[]}
 for key, num in dir_clear_number.items():
 list = []
 for i in range(4):
  list.append(int(num[i], 16))
 dir_clear_number_copy[key] = list 
 return dir_clear_number_copy
 
def get_4_double(i_num, num, dir_key):
 #在轮密钥加中 ,得到4的倍数
 dir_r = {
 1: ['01','00', '00', '00'],
 2: ['02', '00', '00', '00'],
 3: ['04', '00', '00', '00'],
 4: ['08', '00', '00', '00'],
 5: ['10', '00', '00', '00'],
 6: ['20', '00', '00', '00'],
 7: ['40', '00', '00', '00'],
 8: ['80', '00', '00', '00'],
 9: ['1b', '00', '00', '00'],
 10: ['36', '00', '00', '00']
 }
 list_r = dir_r[i_num // 4 + 1] 
 list = []
 list_dir = dir_key[num - 1]
 #print(list_dir)
 for i in range(4):
 list.append(list_dir[(i + 1) % 4])
 
 for i in range(4): 
 list_int = int(list[i], 16)
 line_number = list_int // 16
 row_number = list_int % 16 
 
 list[i] = define_s_box(line_number, row_number)
 list_new = []
 for i in range(4): 
 num_1 = int(list_r[i], 16)
 num_2 = int(list[i], 16)
 string_1 = bin(num_1)[2:].rjust(8, '0')
 string_2 = bin(num_2)[2:].rjust(8, '0')
 string = xor(string_1, string_2)
 list_new.append(hex(string))
 return list_new
 
def get_extend_key(dir_cipher_number):
 #得到扩展密钥
 dir_cipher_number_copy = dir_cipher_number
 
 dir_key = {}
 for i in range(44):
 dir_key[i] = []
 
 for j in range(4):
 list = []
 list_dir = dir_cipher_number_copy[j]
 for k in range(4):
  list.append(list_dir[k])
 dir_key[j] = list
 
 for i in range(40):
 num = 4 + i
 if num % 4 == 0:
  list_t = get_4_double(i, num, dir_key)
 else:
  list_t = dir_key[num - 1]
 
 list_key = dir_key[num - 4]
 list = []
 for j in range(4):
  string_1 = bin(int(list_t[j], 16))[2:].rjust(8, '0')
  string_2 = bin(int(list_key[j], 16))[2:].rjust(8, '0')
  string = xor(string_1, string_2)
  list.append(hex(string))
 dir_key[4 + i] = list
 return dir_key
 
def get_round_key_plus(clear_number, dir_key_extend):
 #进行轮密钥加的操作
 dir_new_number = {0:[], 1:[], 2:[], 3:[]}
 for i in range(4):
 list_number = clear_number[i]
 list_key = dir_key_extend[i]
 list = []
 for j in range(4):
  number = int(list_number[j], 16)
  key = int(list_key[j], 16)
  string_num = bin(number)[2:].rjust(8, '0')
  string_key = bin(key)[2:].rjust(8, '0')
  result_int = xor(string_num, string_key)
  list.append(hex(result_int))
 dir_new_number[i] = list
 return dir_new_number
 
def define_encryption(clear_number, dir_key_extend):
 #对明文进行轮密钥加
 dir_new_number = get_round_key_plus(clear_number, dir_key_extend)
 
 #进行中间的十轮运算
 for i in range(10): 
 num = 4 * (i + 1)
 dir_key_extend_part = {}
 
 for j in range(4):
  dir_key_extend_part[j] = dir_key_extend[num]
  num += 1
 
 #字节代换
 dir_1 = define_byte_subdtitution(dir_new_number, 1)
 
 #行移位
 dir_1 = define_line_shift(dir_1)
 
 #定义列混合操作
 if i != 9:
  dir_1 = hex_to_int(dir_1)
  dir_1 = define_column_hybrid(dir_1)
 
 #定义轮密钥加
 dir_1 = get_round_key_plus(dir_1, dir_key_extend_part)
 dir_new_number = dir_1
 
 return dir_new_number
 
def define_decryption(clear_number, dir_key_extend):
 #对密文进行轮密钥加
 dir_key_extend_part = {
  0: dir_key_extend[40],
  1: dir_key_extend[41],
  2: dir_key_extend[42],
  3: dir_key_extend[43]
  }
 dir_new_number = get_round_key_plus(clear_number, dir_key_extend_part)
 
 #进行中间的十轮运算
 k = 9
 for i in range(10):  
 num = 4 * k
 dir_key_extend_part = {}
 for j in range(4):
  dir_key_extend_part[j] = dir_key_extend[num]
  num += 1
 k -= 1
 
 #逆行移位
 dir_1 = define_line_inverse_shift(dir_new_number)
 
 #逆字节代换
 dir_1 = define_byte_subdtitution(dir_1, 0)
  
 #定义轮密钥加
 dir_1 = get_round_key_plus(dir_1, dir_key_extend_part)
 dir_new_number = dir_1
 
 #定义逆列混合操作
 if i != 9:
  dir_1 = hex_to_int(dir_1)
  dir_1 = define_inverse_column_hybrid(dir_1)
 dir_new_number = dir_1
 return dir_new_number
 
def print_(dir_num):
 #测试输出字典
 for key, num in dir_num.items():
 print(num)
 
def get_outcome(dir_num):
 #输出解密之后的内容
 dir_num = define_column_rotation(dir_num)
 string = ''
 for i in range(4):
 list_num = dir_num[i]
 for j in range(4):
  num = list_num[j]
  num = chr(int(num, 16))
  string += num
 return string 
 
def get_standard_input(string):
 #得到16个字符的输入
 length = len(string)
 length = 16 - length
 for i in range(length):
 string += '0'
 return string 
 
if __name__ == "__main__":
 print("enter numbers( 0 - 16 number, if less than 16, it will fill with '0' by default): ")
 clear_number = input()
 clear_number = get_standard_input(clear_number)
 
 #得到明文矩阵
 dir_clear_number = get_matrix_of_clear_number(clear_number)
 
 print_(dir_clear_number) #输出明文矩阵
 print("\n")
 
 #得到密文矩阵
 dir_cipher_number = get_matrix_of_cipher_number()
 
 #得到扩展的密钥
 dir_key_extend = get_extend_key(dir_cipher_number)
 
 print(dir_key_extend) #输出扩展密钥
 print("\n")
 
 dir_new_encrypt_number = define_encryption(dir_clear_number, dir_key_extend)
 print_(dir_new_encrypt_number) #输出密文矩阵
 print("\n")
 
 dir_orinal_ = define_decryption(dir_new_encrypt_number, dir_key_extend)
 print_(dir_orinal_) #输出解密后的矩阵
 
 dir_ = get_outcome(dir_orinal_)
 print(dir_) #输出解密后的原文

以上就是本文的全部内容,希望对大家的学习有所帮助,也希望大家多多支持。