CF988E.Divisibility by 25

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题目描述

You are given an integer nn from 11 to 101810^{18} without leading zeroes.

In one move you can swap any two adjacent digits in the given number in such a way that the resulting number will not contain leading zeroes. In other words, after each move the number you have cannot contain any leading zeroes.

What is the minimum number of moves you have to make to obtain a number that is divisible by 2525 ? Print -1 if it is impossible to obtain a number that is divisible by 2525 .

输入格式

The first line contains an integer nn ( 1n10181 \le n \le 10^{18} ). It is guaranteed that the first (left) digit of the number nn is not a zero.

输出格式

If it is impossible to obtain a number that is divisible by 2525 , print -1. Otherwise print the minimum number of moves required to obtain such number.

Note that you can swap only adjacent digits in the given number.

输入输出样例

  • 输入#1

    5071
    

    输出#1

    4
    
  • 输入#2

    705
    

    输出#2

    1
    
  • 输入#3

    1241367
    

    输出#3

    -1
    

说明/提示

In the first example one of the possible sequences of moves is 5071 \rightarrow 5701 \rightarrow 7501 \rightarrow 7510 \rightarrow 7150.

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