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生成魔咒 LibreOJ - 2033

热度:62   发布时间:2024-02-04 15:34:10.0

sam上dp。可以将trans[s,c]看成是边,整个sam就是一个dag图。我们令dp[u]表示u结尾的,不同字串个数有多少即可。

#include<iostream>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<cstdlib>
#include<climits>
#include<stack>
#include<vector>
#include<queue>
#include<set>
#include<bitset>
#include<map>
#include<regex>
#include<cstdio>
#include <iomanip>
#pragma GCC optimize(2)
#define up(i,a,b) for(int i=a;i<b;i++)
#define dw(i,a,b) for(int i=a;i>b;i--)
#define upd(i,a,b) for(int i=a;i<=b;i++)
#define dwd(i,a,b) for(int i=a;i>=b;i--)
#define local
typedef long long ll;
typedef unsigned long long ull;
const double esp = 1e-6;
const double pi = acos(-1.0);
const int INF = 0x3f3f3f3f;
const int inf = 1e9;
using namespace std;
ll read()
{char ch = getchar(); ll x = 0, f = 1;while (ch<'0' || ch>'9') { if (ch == '-')f = -1; ch = getchar(); }while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); }return x * f;
}
typedef pair<int, int> pir;
#define lson l,mid,root<<1
#define rson mid+1,r,root<<1|1
#define lrt root<<1
#define rrt root<<1|1
const int N = 1e5 + 10;
struct sam {int len[N << 1];ll dp[N << 1];vector<map<int, int> >trans;vector<int>par;int last; int tot;int sz[N << 1];void init(int l) {trans.resize(l + 1, map<int, int>());par.resize(l + 1, 0);dp[1] = 1;last = 1; tot = 1;}ll ins(int c) {int pre = last; int now = last = ++tot;sz[now] = 1;len[now] = len[pre] + 1;for (; pre && !trans[pre][c]; pre = par[pre]){//int t = trans[pre][c];trans[pre][c] = now; dp[now] += dp[pre];}if (pre == 0) { par[now] = 1; return dp[now]; }int ano = trans[pre][c];if (len[ano] == len[pre] + 1) { par[now] = ano;}else {int nnow = ++tot;trans[nnow] = trans[ano];len[nnow] = len[pre] + 1;par[nnow] = par[ano];par[ano] = par[now] = nnow;for (; pre&&trans[pre][c] == ano; pre = par[pre]){dp[nnow] += dp[pre];trans[pre][c] = nnow;}dp[ano] -= dp[nnow];}return dp[now];}
}S;
int n;
int x[N];
int main()
{n = read();S.init(2 * n);ll ans = 0;upd(i, 1, n){x[i] = read(); ans += S.ins(x[i]);printf("%lld\n",ans);}return 0;
}