CF678B.The Same Calendar

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题目描述

The girl Taylor has a beautiful calendar for the year yy . In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.

The calendar is so beautiful that she wants to know what is the next year after yy when the calendar will be exactly the same. Help Taylor to find that year.

Note that leap years has 366366 days. The year is leap if it is divisible by 400400 or it is divisible by 44 , but not by 100100 (https://en.wikipedia.org/wiki/Leap_year).

输入格式

The only line contains integer yy ( 1000<=y<100'000 ) — the year of the calendar.

输出格式

Print the only integer yy' — the next year after yy when the calendar will be the same. Note that you should find the first year after yy with the same calendar.

输入输出样例

  • 输入#1

    2016
    

    输出#1

    2044
    
  • 输入#2

    2000
    

    输出#2

    2028
    
  • 输入#3

    50501
    

    输出#3

    50507
    

说明/提示

Today is Monday, the 1313 th of June, 20162016 .

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