【洛谷 P5341】 [TJOI2019]甲苯先生和大中锋的字符串(后缀自动机)
题目链接
建出\(sam\),求出parent tree上每个点的\(endpos\)集合大小。
如果等于\(k\),说明到达这个点的都可以。给\((len[fa(i)],len[i]]\)的\(cnt\)都加\(1\),差分即可。
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int MAXN = 100010;
struct SAM{
int ch[26];
int len, fa;
}sam[MAXN << 1];
int las = 1, cnt = 1, f[MAXN << 1];
struct Edge{
int next, to;
}e[MAXN << 1];
int head[MAXN << 1], num;
inline void Add(int from, int to){
e[++num].to = to; e[num].next = head[from]; head[from] = num;
}
inline void add(int c){
int p = las; int np = las = ++cnt;
sam[np].len = sam[p].len + 1; f[cnt] = 1;
for(; p && !sam[p].ch[c]; p = sam[p].fa) sam[p].ch[c] = np;
if(!p) sam[np].fa = 1;
else{
int q = sam[p].ch[c];
if(sam[q].len == sam[p].len + 1) sam[np].fa = q;
else{
int nq = ++cnt; sam[nq] = sam[q];
sam[nq].len = sam[p].len + 1;
sam[q].fa = sam[np].fa = nq;
for(; p && sam[p].ch[c] == q; p = sam[p].fa) sam[p].ch[c] = nq;
}
}
}
char a[MAXN];
int k, T, v[MAXN];
void dfs(int u){
for(int i = head[u]; i; i = e[i].next){
dfs(e[i].to);
f[u] += f[e[i].to];
}
}
int main(){
scanf("%d", &T);
while(T--){
scanf("%s%d", a + 1, &k);
int len = strlen(a + 1);
for(int i = 1; i <= len; ++i)
add(a[i] - 'a');
for(int i = 2; i <= cnt; ++i)
Add(sam[i].fa, i);
dfs(1);
int ans = -1, Max = -1;
for(int i = 2; i <= cnt; ++i)
if(f[i] == k)
--v[sam[sam[i].fa].len], ++v[sam[i].len];
for(int i = len - 1; i >= 1; --i)
v[i] += v[i + 1];
for(int i = 1; i <= len; ++i)
if(v[i] && v[i] >= Max){
Max = v[i];
ans = i;
}
printf("%d\n", ans);
for(int i = 1; i <= cnt; ++i)
memset(sam[i].ch, 0, sizeof sam[i].ch), sam[i].len = sam[i].fa = f[i] = head[i] = 0;
cnt = 1; num = 0; memset(v, 0, sizeof v); las = 1;
}
return 0;
}