20. A tram ticket is called lucky in the Leningrad style if the sum of its first three digits equals the sum of the last three digits. A tram ticket is called lucky in the Moscow style if the sum of its digits in even positions equals the sum of its digits in odd positions. How many tickets are lucky both in the Leningrad style and in the Moscow style, including the ticket 000000?
69.20. There are 6700 such tickets. Note. The second digit of the number should match the fifth.

保留源文本的换行和格式，翻译结果如下：

69.20. There are 6700 such tickets. 
Note. The second digit of the number should match the fifth.