poj1026Cipher(置换群)

时间:2023-03-09 15:42:25
poj1026Cipher(置换群)

链接

找循环节 然后所有子循环节的最小公倍数就是总的循环节 找结果的时候也按一个个置换来进行转换 不然也TLE

     #include <iostream>
#include<cstdio>
#include<string>
#include<cstring>
#include<algorithm>
#include<stdlib.h>
#include<map>
using namespace std;
#define LL long long
int p[];
char s[];
char ss[],sq[];
int vis[];
int qu[][];
int po[];
int num[];
LL gcd(int a,int b)
{
return b==?a:gcd(b,a%b);
}
int main()
{
int i,j,n;
LL k;
while(scanf("%d",&n)&&n)
{
memset(vis,,sizeof(vis));
memset(num,,sizeof(num));
for(i = ; i <= n ; i++)
{
scanf("%d",&p[i]);
po[p[i]] = i;
}
LL sk = ;int g=;
for(i =; i <= n ;i++)
{
if(!vis[i])
{
vis[i] = ;
g++;
int x = i,o=;
qu[g][o] = i;
while()
{
x = p[x];
if(!vis[x])
{
vis[x] = ;
}
else
break;
o++;
qu[g][o] = x;
}
num[g] = o;
sk = sk/gcd(sk,o)*o;
}
}
while(scanf("%lld%*c",&k)&&k)
{
gets(s);
int kk = strlen(s);
for(i = kk ; i < n ; i++)
s[i] = ' ';
s[n] = '\0';
strcpy(ss,s);
strcpy(sq,s);
k = k%sk;
for(i = ; i <= g ; i++)
{
int kk = k%num[i];
strcpy(ss,sq);
while(kk)
{
for(j = ; j <= num[i] ; j++)
s[qu[i][j]-] = ss[po[qu[i][j]]-];
strcpy(ss,s);
kk--;
}
}
puts(s);
}
puts("");
}
return ;
}