Error Correct System(模拟)

本博客讨论了如何通过交换字符串中的一个字符对来最小化两个字符串之间的汉明距离,涉及字符串比较、搜索算法及错误纠正机制。

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 Error Correct System
Time Limit:2000MS     Memory Limit:262144KB     64bit IO Format:%I64d & %I64u

Description

Ford Prefect got a job as a web developer for a small company that makes towels. His current work task is to create a search engine for the website of the company. During the development process, he needs to write a subroutine for comparing strings S and T of equal length to be "similar". After a brief search on the Internet, he learned about the Hamming distance between two strings S and T of the same length, which is defined as the number of positions in which S and T have different characters. For example, the Hamming distance between words "permanent" and "pergament" is two, as these words differ in the fourth and sixth letters.

Moreover, as he was searching for information, he also noticed that modern search engines have powerful mechanisms to correct errors in the request to improve the quality of search. Ford doesn't know much about human beings, so he assumed that the most common mistake in a request is swapping two arbitrary letters of the string (not necessarily adjacent). Now he wants to write a function that determines which two letters should be swapped in string S, so that the Hamming distance between a new string S and string T would be as small as possible, or otherwise, determine that such a replacement cannot reduce the distance between the strings.

Help him do this!

Input

The first line contains integer n (1 ≤ n ≤ 200 000) — the length of strings S and T.

The second line contains string S.

The third line contains string T.

Each of the lines only contains lowercase Latin letters.

Output

In the first line, print number x — the minimum possible Hamming distance between strings S and T if you swap at most one pair of letters in S.

In the second line, either print the indexes i and j (1 ≤ i, j ≤ n, i ≠ j), if reaching the minimum possible distance is possible by swapping letters on positions i and j, or print "-1 -1", if it is not necessary to swap characters.

If there are multiple possible answers, print any of them.

Sample Input

Input
9 pergament permanent
Output
1 4 6
Input
6 wookie cookie
Output
1 -1 -1
Input
4 petr egor
Output
2 1 2
Input
6 double bundle
Output
2 4 1

Hint

In the second test it is acceptable to print i = 2, j = 3.

题解:

给两个串,可以交换一次,问不相同字母的对数;模拟,vis1,vis2存储不匹配字母个数;num1,num2存储对应的下标;

对于每个不匹配的字母;在另一个串中找判断对应是否相同;

代码:

#include<iostream>
#include<cstring>
#include<cmath>
#include<algorithm>
#include<cstdio>
#include<map>
using namespace std;
typedef long long LL;
const int MAXN = 200100;
char s1[MAXN], s2[MAXN];
int vis1[30], vis2[30];
int num1[30][MAXN], num2[30][MAXN];
map<int, int>mp;
int main(){
    int N;
    while(~scanf("%d", &N)){
        scanf("%s%s", s1 + 1, s2 + 1);
        int num = 0;
        memset(vis1, 0, sizeof(vis1));
        memset(vis2, 0, sizeof(vis2));
        memset(num1, 0, sizeof(num1));
        memset(num2, 0, sizeof(num2));
        for(int i = 1; i <= N; i++){
            if(s1[i] != s2[i]){
                vis1[s1[i] - 'a']++;
                num1[s1[i] - 'a'][vis1[s1[i] - 'a']] = i;
                vis2[s2[i] - 'a']++;
                num2[s2[i] - 'a'][vis2[s2[i] - 'a']] = i;
                num++;
            }
        }
        int ans = 0, pos, flot = 0, l = 0, r = 0;
        for(int i = 0; i < 30; i++){
            if(vis1[i]){
                if(vis2[i]){
                    mp.clear();
                    for(int j = 1; j <= vis2[i]; j++){
                        pos = num2[i][j];
                        mp[s1[pos] - 'a'] = pos;
                        l = pos;r = num1[i][1];
                    }
                    for(int j = 1; j <= vis1[i]; j++){
                        pos = num1[i][j];
                        if(mp.count(s2[pos] - 'a')){
                            l = pos; r = mp[s2[pos] - 'a'];
                            ans = max(ans, 2);
                            flot = 1;
                            break;
                        }
                    }
                    if(flot)break;
                    
                    ans = max(ans, 1);
                }
            }
        }
        if(ans == 0)
        for(int i = 0; i < 30; i++){
            if(vis2[i]){
                if(vis1[i]){
                    mp.clear();
                    for(int j = 1; j <= vis1[i]; j++){
                        pos = num1[i][j];
                        mp[s1[pos] - 'a'] = pos;
                        l = pos;r = num2[i][1];
                    }
                    for(int j = 1; j <= vis2[i]; j++){
                        pos = num2[i][j];
                        if(mp.count(s1[pos] - 'a')){
                            l = pos; r = mp[s1[pos] - 'a'];
                            ans = max(ans, 2);
                            flot = 1;
                            break;
                        }
                    }
                    if(flot)break;
                    
                    ans = max(ans, 1);
                }
            }
        }
        
        printf("%d\n", num - ans);
        if(l == 0 && r == 0)puts("-1 -1");
        else printf("%d %d\n", l, r);
    }
    return 0;
}

 

转载于:https://www.cnblogs.com/handsomecui/p/5414794.html

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