📄 whu1018-king kong(置换群,找循环节).cpp
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#include <cstdio>
#include <string>
#include <algorithm>
using namespace std;
int n, min_cost;
int ss[5100], ts[5100];
int pos1[1<<16];
bool vis[5100];
int main()
{
int i,minp;
while(scanf("%d", &n), n) {
min_cost = 0;
minp = INT_MAX;
memset(vis,0,sizeof(vis));
for(i=1;i<=n;i++) {
scanf("%d", ss+i);
minp = min(minp, ss[i]);
min_cost += ss[i];
pos1[ ss[i] ] = i;
}
for(i=1;i<=n;i++) {
scanf("%d", ts+i);
}
//find circle
for(i=1;i<=n;i++) {
if(!vis[i]) {
int tpos = i;
int len = 0;
int mmin = INT_MAX;
do {//find mininum in circle
vis[tpos] = true;
mmin = min(mmin, ts[tpos]);
tpos = pos1[ ts[tpos] ];
len ++;
} while(tpos != i);
//inner exchange < inner-outer exchange
min_cost += min((len-2)*mmin , (len+1)*minp + mmin);
}
}
printf("%d\n", min_cost);
}
}
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