题面
字符串$ S \(最多包含\) 25 \(万个小写拉丁字母。我们将\) F(x) \(定义为长度为\) x \(的某些字符串出现在\) s \(中的最大次数。例如,对于字符串\) “ababa”\(,\)F(3) \(将为\) 2\(,因为存在两次出现的字符串\) “aba”\(。您的任务是为每个\) i $输出 \(F(i)\),以便$ 1 <= i < = |S|$
Sol
\(sam\)
直接求一下每个\(endpos(right)\)集合的子串出现次数 然后就没了# include# define IL inline# define RG register# define Fill(a, b) memset(a, b, sizeof(a))using namespace std;typedef long long ll;template IL void Input(RG Int &x){ RG int z = 1; RG char c = getchar(); x = 0; for(; c < '0' || c > '9'; c = getchar()) z = c == '-' ? -1 : 1; for(; c >= '0' && c <= '9'; c = getchar()) x = (x << 1) + (x << 3) + (c ^ 48); x *= z;}const int maxn(5e5 + 5);int n, trans[26][maxn], fa[maxn], len[maxn], tot = 1, last = 1;int id[maxn], t[maxn], size[maxn], ans[maxn];char s[maxn];IL void Extend(RG int c){ RG int p = last, np = ++tot; last = tot; len[np] = len[p] + 1, size[np] = 1; while(p && !trans[c][p]) trans[c][p] = np, p = fa[p]; if(!p) fa[np] = 1; else{ RG int q = trans[c][p]; if(len[q] == len[p] + 1) fa[np] = q; else{ RG int nq = ++tot; fa[nq] = fa[q], len[nq] = len[p] + 1; for(RG int i = 0; i < 26; ++i) trans[i][nq] = trans[i][q]; fa[q] = fa[np] = nq; while(p && trans[c][p] == q) trans[c][p] = nq, p = fa[p]; } }}int main(RG int argc, RG char* argv[]){ scanf(" %s", s), n = strlen(s); for(RG int i = 0; i < n; ++i) Extend(s[i] - 'a'); for(RG int i = 1; i <= tot; ++i) ++t[len[i]]; for(RG int i = 1; i <= tot; ++i) t[i] += t[i - 1]; for(RG int i = 1; i <= tot; ++i) id[t[len[i]]--] = i; for(RG int i = tot; i; --i){ size[fa[id[i]]] += size[id[i]]; ans[len[id[i]]] = max(ans[len[id[i]]], size[id[i]]); } for(RG int i = tot; i; --i) ans[i] = max(ans[i], ans[i + 1]); for(RG int i = 1; i <= n; ++i) printf("%d\n", ans[i]); return 0;}