hdu3294 Girls' research(manacher)

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题目大意:给定一个字母,把这个字母看作a,然后给一个字符串,找出最长回文串,并输出起始位置及结束位置,最后把替换字母后的最长回文串输出。


解题思路:马拉车算法裸题,注意的是,最长回文串的起始位置L=(i-p[i])/2,R=(i+p[i])/2-2。输出回文串是(s[i]-'a'-cnt+26)%26+'a'。



/* ***********************************************┆  ┏┓   ┏┓ ┆┆┏┛┻━━━┛┻┓ ┆┆┃       ┃ ┆┆┃   ━   ┃ ┆┆┃ ┳┛ ┗┳ ┃ ┆┆┃       ┃ ┆┆┃   ┻   ┃ ┆┆┗━┓ 马 ┏━┛ ┆┆  ┃ 勒 ┃  ┆      ┆  ┃ 戈 ┗━━━┓ ┆┆  ┃ 壁     ┣┓┆┆  ┃ 的草泥马  ┏┛┆┆  ┗┓┓┏━┳┓┏┛ ┆┆   ┃┫┫ ┃┫┫ ┆┆   ┗┻┛ ┗┻┛ ┆************************************************ */#include <stdio.h>#include <string.h>#include <iostream>#include <algorithm>#include <vector>#include <queue>#include <stack>#include <set>#include <map>#include <string>#include <math.h>#include <stdlib.h>using namespace std;#define rep(i,a,b) for (int i=(a),_ed=(b);i<=_ed;i++)#define per(i,a,b) for (int i=(b),_ed=(a);i>=_ed;i--)const int inf_int = 2e9;const long long inf_ll = 2e18;#define inf_add 0x3f3f3f3f#define mod 1000000007#define LL long long#define ULL unsigned long long#define MS0(X) memset((X), 0, sizeof((X)))#define Sd(X) int (X); scanf("%d", &X)#define Sdd(X, Y) int X, Y; scanf("%d%d", &X, &Y)#define Sddd(X, Y, Z) int X, Y, Z; scanf("%d%d%d", &X, &Y, &Z)const int maxn = 4e5+100;int len1,len2,p[maxn];char s[maxn],str[maxn];void init(){    str[0] = '$';    str[1] = '#';    for(int i=0;i<len1;i++)    {        str[i*2+2] = s[i];        str[i*2+3] = '#';    }    len2 = len1*2 + 2;    str[len2] = '*';}void manacher(){    int id = 0,mx = 0;    for(int i=0;i<len2;i++)    {        if(mx>i)p[i] = min(p[id*2-i],mx-i);        else p[i] = 1;        for(;str[i-p[i]]==str[i+p[i]];p[i]++);        if(p[i]+i>mx)        {            mx = p[i] + i;            id = i;        }    }}int main(){<span style="white-space:pre"></span>//freopen("in.txt","r",stdin);<span style="white-space:pre"></span>//freopen("out.txt","w",stdout);ios::sync_with_stdio(0);cin.tie(0);char c[5];while(~scanf("%s%s",c,s))    {        int cnt = c[0] - 'a';        len1 = strlen(s);        init();        manacher();        int ans = 0,l,r;        for(int i=0;i<len2;i++)        {            if(p[i]>ans)            {                ans = p[i];                l = (i-p[i])/2;                r = (i+p[i])/2-2;            }        }        if(ans==2)cout<<"No solution!"<<endl;        else        {            cout<<l<<" "<<r<<endl;            for(int i=l;i<=r;i++)            {                printf("%c",(s[i]-'a'-cnt+26)%26+'a');            }            cout<<endl;        }    }    return 0;}


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