SGU 411 Petya the Hero(一)

2014-11-24 10:39:55 · 作者: · 浏览: 0

[cpp]
求两个字符串最长公共回文字串,并随便输出一个

#include
#include
#include
#include

using namespace std;

#define MAXN 10100

int rad[MAXN];
char s[MAXN];

char r1[MAXN/2],r[MAXN];
int sa[MAXN];
int wa[MAXN],wb[MAXN],wv[MAXN],ws[MAXN];
int height[MAXN],rank[MAXN];

int ans,start;
inline bool cmp(int *r,int a,int b,int len){
return r[a]==r[b]&&r[a+len]==r[b+len];
}
void SA(int n,int m){
int i,j,p,*x=wa,*y=wb,*t;
for(i=0;i ws[i]=0;
for(i=0;i ws[x[i]=r[i]]++;
for(i=1;i ws[i]+=ws[i-1];
for(i=n-1;i>=0;i--)
sa[--ws[x[i]]]=i;
for(j=p=1;p for(p=0,i=n-j;i y[p++]=i;
for(i=0;i if(sa[i]>=j)
y[p++]=sa[i]-j;
}
for(i=0;i ws[i]=0;
for(i=0;i ws[wv[i]=x[y[i]]]++;
for(i=1;i ws[i]+=ws[i-1];
for(i=n-1;i>=0;i--)
sa[--ws[wv[i]]]=y[i];
for(t=x,x=y,y=t,x[sa[0]]=0,p=i=1;i x[sa[i]]=cmp(y,sa[i-1],sa[i],j) p-1:p++;
}
}
void Height(int n){
int i,j,k=0;
for(i=1;i<=n;i++)
rank[sa[i]]=i;
for(i=0;i for(k k--:0,j=sa[rank[i]-1];r[i+k]==r[j+k];k++);
}

void Manacher(char str[],int n){
int i,mx=0,id;
for(i=1;i if(mx>i) rad[i]=min(rad[2*id-i],mx-i);
else rad[i]=0;
for(;str[i+rad[i]]==str[i-rad[i]];rad[i]++)
;
rad[i]--;
if(mx mx=rad[i]+i;
id=i;
}
}
}

int make_string(int mid){
strcpy(r,r1);
r[mid]='#';
scanf("%s",r+mid+1);
return strlen(r);
}

void cal_str(int from,int len){

int i;
s[0]='$';
for(i=0;i s[2*i+1]='#';
s[2*i+2]=r1[i+from];
}
s[2*len+1]='#';
s[2*len+2]='@';
Manacher(s,2*len+2);
int t=0;
for(i=1;i<=2*len+1;i++){
if(rad[i]>ans){
ans=rad[i];
start=from+t-rad[i]/2;
}
if(s[i]!='#')
t++;
}
}

int main(){
int n,mid;
memset(height,0,sizeof(height));
scanf("%s",r1);
mid=strlen(r1);
n=make_string(mid);
SA(n+1,130);
Height(n);
ans=0;
for(int i=2;i<=n;i++){
if(sa[i-1]mid)
cal_str(sa[i-1],height[i]);
else if(sa[i]mid)
cal_str(sa[i],height[i]);
}
for(int i=0;i printf("%c",r1[start+i]);
printf("\n");
}

法二:直接对两个串搞manacher,然后枚举2个串上的位置,n^2的dp来搞

[cpp]
#include
#include
#include
#include
#define MAXN 4010
using namespace std;

int rad1[MAXN],rad2[MAXN];
char s1[MAXN],s2[MAXN],str1[MAXN],str2[MAXN];
int ans,start;
int dp[MAXN][MAXN];
void Manacher(int rad[],char str[],int n){
int i,mx=0,id;
for(i=1;i if(mx>i) rad[i]=min(rad[2*id-i],mx-i);
else rad[i]=0;
for(;str[i+rad[i]]==str[i-rad[i]];rad[i]++)
;
rad[i]--;
if(mx mx=rad[i]+i;
id=i;
}
}
}

void cal_str(char str[],char s[],int rad[]){
int i,len;
len=strlen(str);
s[0]='$';
for(i=0;i s[2*i+1]='#';
s[2*i+2]=str[i];
}
s[2*len+1]='#';
s[2*len+2]='\0';
Manacher(rad,s,2*len+2);
}

void sea(){
int l1,l2,i,j,t;
l1=strlen(s1);
l2=strlen(s2);
memset(dp,0,sizeof(dp));