Codeforces Round #324 (Div. 2) C. Marina and Vasya 字符串处理

C. Marina and Vasya

time limit per test1 second

memory limit per test256 megabytes

inputstandard input

outputstandard output

Marina loves strings of the same length and Vasya loves when there is a third string, different from them in exactly t characters. Help Vasya find at least one such string.

More formally, you are given two strings s1, s2 of length n and number t. Let’s denote as f(a, b) the number of characters in which strings a and b are different. Then your task will be to find any string s3 of length n, such that f(s1, s3) = f(s2, s3) = t. If there is no such string, print  - 1.

Input

The first line contains two integers n and t (1 ≤ n ≤ 105, 0 ≤ t ≤ n).

The second line contains string s1 of length n, consisting of lowercase English letters.

The third line contain string s2 of length n, consisting of lowercase English letters.

Output

Print a string of length n, differing from string s1 and from s2 in exactly t characters. Your string should consist only from lowercase English letters. If such string doesn’t exist, print -1.

Sample test(s)

input

3 2

abc

xyc

output

ayd

input

1 0

c

b

output

-1

题意， 要求与两个字符串的不同字符都为t的第三个字符串。

先求出两个字符串的相同的数num.如果，n - t <= num,则只需要把这num个相同的字符选其中的一部分就可以了。否则，尽可能的一半与1字符串相同，别一半与2字符串相同。若仍然不够，则无解。

#define N 300005
#define M 100005
#define maxn 205
#define MOD 1000000000000000007
int n,t,num;
char s1
,s2
,ans
;
int main()
{
//freopen("in.txt", "r", stdin);
//freopen("out.txt", "w", stdout);
while(S2(n,t)!=EOF)
{
SS(s1);
SS(s2);
num = 0;
t = n - t;
FI(n) ans[i] = s1[i];
ans
= '\0';
FI(n){
if(s1[i] == s2[i])
num++;
}
if(num >= t){
FI(n){
if(t > 0){
if(s1[i] == s2[i]){
ans[i] = s1[i];
t--;
}
else
{
FJ(26){
char c = 'a' + j;
if(s1[i] != c && s2[i] != c){
ans[i] = c;
break;
}
}
}
}
else {
FJ(26){
char c = 'a' + j;
if(s1[i] != c && s2[i] != c){
ans[i] = c;
break;
}
}
}
}
printf("%s\n",ans);
}
else if((n - num) / 2 + num >= t){
//printf("%d %d %d\n",n,num,t);
int n1 = t - num;
int n2 = n1;
int first = 1;
FI(n){
if(s1[i] == s2[i]){
ans[i] = s1[i];
}
else {
if(first == 1){
ans[i] = s1[i];
n2--;
if(n2 == 0){
n2 = n1;
first++;
}
}
else if(first == 2){
ans[i] = s2[i];
n2--;
if(n2 == 0){
n2 = n1;
first++;
}
}
else {
FJ(26){
char c = 'a' + j;
if(s1[i] != c && s2[i] != c){
ans[i] = c;
break;
}
}
}
}
}
printf("%s\n",ans);
}
else {
printf("-1\n");
}
}
//fclose(stdin);
//fclose(stdout);
return 0;
}