CF801B.Valued Keys

普及/提高-

通过率:0%

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题目描述

You found a mysterious function ff . The function takes two strings s1s_{1} and s2s_{2} . These strings must consist only of lowercase English letters, and must be the same length.

The output of the function ff is another string of the same length. The ii -th character of the output is equal to the minimum of the ii -th character of s1s_{1} and the ii -th character of s2s_{2} .

For example, f(f( "ab", "ba" )) = "aa", and f(f( "nzwzl", "zizez" )) = "niwel".

You found two strings xx and yy of the same length and consisting of only lowercase English letters. Find any string zz such that f(x,z)=yf(x,z)=y , or print -1 if no such string zz exists.

输入格式

The first line of input contains the string xx .

The second line of input contains the string yy .

Both xx and yy consist only of lowercase English letters, xx and yy have same length and this length is between 11 and 100100 .

输出格式

If there is no string zz such that f(x,z)=yf(x,z)=y , print -1.

Otherwise, print a string zz such that f(x,z)=yf(x,z)=y . If there are multiple possible answers, print any of them. The string zz should be the same length as xx and yy and consist only of lowercase English letters.

输入输出样例

  • 输入#1

    ab
    aa
    

    输出#1

    ba
    
  • 输入#2

    nzwzl
    niwel
    

    输出#2

    xiyez
    
  • 输入#3

    ab
    ba
    

    输出#3

    -1
    

说明/提示

The first case is from the statement.

Another solution for the second case is "zizez"

There is no solution for the third case. That is, there is no zz such that f(f( "ab", z)=z)= "ba".

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