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UVA1502 GRE Words

时间:2023-01-14 23:22:14浏览次数:42  
标签:nxt AC int UVA1502 Tot GRE Words fail Automaton

一道 \(AC\) 自动机 \(+\) 线段树难题。

#include <algorithm>
#include <cstring>
#include <cmath>
#include <cstdio>
using namespace std;
const int N = 3e5+10;
template<typename T, int NN>
struct Segment_Tree{
    T tree[NN<<2], tag[NN<<2];
    void pushup(T k){
        tree[k] = max(tree[k<<1], tree[k<<1|1]);
    }
    void pushdown(T k){
        if(tag[k] == 0) return;
        tree[k<<1] = max(tree[k<<1], tag[k]);
        tree[k<<1|1] = max(tree[k<<1|1], tag[k]);
        tag[k<<1] = max(tag[k<<1], tag[k]);
        tag[k<<1|1] = max(tag[k<<1|1], tag[k]);
        tag[k] = 0;
    }
    void build(T k, T l, T r){
        tree[k] = tag[k] = 0;
        if(l == r) return;
        T mid = l + r >> 1;
        build(k<<1, l, mid);
        build(k<<1|1, mid+1, r);
    }
    void modify(T k, T l, T r, T x, T y, T w){
        if(l >= x and r <= y){
            tree[k] = max(tree[k], w);
            tag[k] = max(tag[k], w);
            return;
        }
        T mid = l + r >> 1;
        pushdown(k);
        if(x <= mid) modify(k<<1, l, mid, x, y, w);
        if(y > mid) modify(k<<1|1, mid+1, r, x, y, w);
        pushup(k);
    }
    T ask(T k, T l, T r, T x){
        if(l == r){
            return tree[k];
        }
        T mid = l + r >> 1;
        pushdown(k);
        if(x <= mid) return ask(k<<1, l, mid, x);
        else return ask(k<<1|1, mid+1, r, x);
    }
};
#include <queue>
#include <vector>
#define _for(i, a, b) for(int i = (a); i <= (b); i ++)
#define _rep(i, a, b) for(int i = (a); i < (b); i ++)
template<typename T, int NN>
struct Aho_Corsick_Automaton{
    int nxt[NN][28], fail[NN], cnt, vis[NN];
    int newnode(){
        int x = cnt++;
        memset(nxt[x], 0, sizeof nxt[x]);
        fail[x] = 0, vis[x] = 0;
        return x;
    }
    int idx(char c){
        return c - 'a' + 1;
    }
    void init(){
        cnt = 0;
        newnode();
    }
    void insert(char *s){
        int len = strlen(s), u = 0;
        _rep(i, 0, len){
            int c = idx(s[i]);
            if(!nxt[u][c]) nxt[u][c] = newnode();
            u = nxt[u][c];
        }
    }
    void failure_function(vector<int> *links){
        queue<int> q;
        _for(i, 1, 26){
            if(nxt[0][i]) q.push(nxt[0][i]);
        }
        while(!q.empty()){
            int u = q.front(); q.pop();
            _for(c, 1, 26){
                int v = nxt[u][c];
                if(!v){
                    nxt[u][c] = nxt[fail[u]][c];
                    continue;
                }
                fail[v] = nxt[fail[u]][c];
                q.push(v);
            }
            links[fail[u]].push_back(u);
        }
    }
};
#include <string>
Segment_Tree<int, N> segment_tree;
Aho_Corsick_Automaton<int, N> AC_Automaton;
int n, w[N];
char moban[N];
string S[N];
vector<int> link[N];
int L[N], R[N], Tot;
void dfs(int x){
    L[x] = ++Tot;
    for(auto y:link[x]){
        dfs(y);
    }
    R[x] = Tot;
}
int main(){
    int T;
    scanf("%d", &T);
    _for(kase, 1, T){
        memset(L, 0, sizeof L);
        memset(R, 0, sizeof R);
        scanf("%d", &n);
        Tot = 0;
        AC_Automaton.init();
        _for(i, 1, n){
            scanf("%s%d", moban, &w[i]);
            AC_Automaton.insert(moban);
            S[i] = string(moban);
        }
        _for(i, 0, AC_Automaton.cnt + 1) link[i].clear();
        AC_Automaton.failure_function(link);
        dfs(0); int ans = 0;
        segment_tree.build(1, 1, Tot);
        _for(i, 1, n){
            int sum = 0, length = S[i].size(), u = 0;
            _rep(j, 0, length){
                u = AC_Automaton.nxt[u][AC_Automaton.idx(S[i][j])];
                sum = max(sum, segment_tree.ask(1, 1, Tot, L[u]) + w[i]);
            }
            ans = max(ans, sum);
            segment_tree.modify(1, 1, Tot, L[u], R[u], sum);
        }
        printf("Case #%d: %d\n", kase, ans);
    }
    return 0;
}

标签:nxt,AC,int,UVA1502,Tot,GRE,Words,fail,Automaton
From: https://www.cnblogs.com/dadidididi/p/17052792.html

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