A. Vicious Keyboard

time limit per test:2 seconds

memory limit per test:256 megabytes

input:standard input

output:standard output

Tonio has a keyboard with only two letters, "V" and "K".

One day, he has typed out a string s with only these two letters. He really likes it when the string "VK" appears, so he wishes to change at most one letter in the string (or do no changes) to maximize the number of occurrences of that string. Compute the maximum number of times "VK" can appear as a substring (i. e. a letter "K" right after a letter "V") in the resulting string.

Input

The first line will contain a string s consisting only of uppercase English letters "V" and "K" with length not less than 1 and not greater than 100.

Output

Output a single integer, the maximum number of times "VK" can appear as a substring of the given string after changing at most one character.

Examples

Input

VK

Output

1

Input

VV

Output

1

Input

V

Output

0

Input

VKKKKKKKKKVVVVVVVVVK

Output

3

Input

KVKV

Output

1

Note

For the first case, we do not change any letters. "VK" appears once, which is the maximum number of times it could appear.

For the second case, we can change the second character from a "V" to a "K". This will give us the string "VK". This has one occurrence of the string "VK" as a substring.

For the fourth case, we can change the fourth character from a "K" to a "V". This will give us the string "VKKVKKKKKKVVVVVVVVVK". This has three occurrences of the string "VK" as a substring. We can check no other moves can give us strictly more occurrences.

题目链接：http://codeforces.com/contest/801/problem/A

分析：没有人比我更早来切题了吧！无聊的很，做几道题，感觉退了好多，得加油！此题的意思就是要找出KV这个组合，判断a[i+1]=='K'||(a[i]=='V'&&a[i+2]!='K'是否成立，成立+1，否则输出组合情况数！

下面给出AC代码：

1 #include 
         
           2 using namespace std; 3 int main() 4 { 5     char a[105]; 6     cin>>a; 7     int len=strlen(a); 8     int ans=0; 9     int flag=0;10     for(int i=0;i
         

B. Valued Keys

time limit per test：2 seconds

memory limit per test：256 megabytes

input：standard input

output：standard output

You found a mysterious function f. The function takes two strings s₁ and s₂. These strings must consist only of lowercase English letters, and must be the same length.

The output of the function f is another string of the same length. The i-th character of the output is equal to the minimum of the i-th character of s₁ and the i-th character of s₂.

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

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

Input

The first line of input contains the string x.

The second line of input contains the string y.

Both x and y consist only of lowercase English letters, x and y have same length and this length is between 1 and 100.

Output

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

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

Examples

Input

ab aa

Output

ba

Input

nzwzl niwel

Output

xiyez

Input

ab ba

Output

-1

Note

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 z such that f("ab", z) =  "ba".

题目链接：http://codeforces.com/contest/801/problem/B

分析：

思路：判断x[i]是否小于y[i]（符合规则），符合就输出y（灵光一闪），否则输出“-1”。  

说实在话，我也不是很理解那样例是什么情况！反正就是这样做！

1 #include
       
         2 using namespace std; 3 int main() 4 { 5     string x,y; 6     cin>>x>>y; 7     for(int i=0;i