제출 #1124744

#제출 시각아이디문제언어결과실행 시간메모리
1124744ducanh0811Plahte (COCI17_plahte)C++20
128 / 160
533 ms51844 KiB
#include <bits/stdc++.h>
#define     debug(x)        cout << #x << " = " << x << '\n'
#define     int             long long
#define     fi              first
#define     se              second
#define     pb              push_back
#define     eb              emplace_back
#define     ALL(x)          x.begin(), x.end()
#define     MASK(i)         (1ll << (i))
#define     FOR(i,a,b)      for (int i = (a); i <= (b); ++i)
#define     REV(i,a,b)      for (int i = (a); i >= (b); --i)
using namespace std;

int n, m;
#define MAXN 80008

struct rect{
    int x, y, x2, y2;
};
vector<rect> R;

struct event{
    int op, x, y, y2, i;
};
vector<event> E;

struct point{
    int x,y,c;
};
vector<point> P;

vector<int> G[MAXN];
int par[MAXN];
vector<int> a[MAXN];
set<int> s[MAXN];
int res[MAXN];
vector<int> root;

struct SMT{
    int n;
    vector<int> st, lz;
    SMT(const int &V) : n(V) {
        st.assign((n << 2) + 5, 0);
        lz.assign((n << 2) + 5, -1);
    }

    void push(const int &id){
        st[id << 1] = lz[id];
        st[id << 1 | 1] = lz[id];
        lz[id << 1] = lz[id];
        lz[id << 1 | 1] = lz[id];
        lz[id] = -1;
    }

    void up(int id, int l, int r, int u, int v, int val){
        if (v < l || r < u) return;
        if (u <= l && r <= v){
            st[id] = val;
            lz[id] = val;
            return;
        }
        int mid = (l + r) >> 1;
        if (lz[id] != -1) push(id);
        up(id << 1, l, mid, u, v, val);
        up(id << 1 | 1, mid + 1, r, u, v, val);
    }
    void up(int u, int v, int val){
        up(1, 1, n, u, v, val);
    }

    int get(int id, int l, int r, int p){
        if (l == r) return st[id];
        int mid = (l + r) >> 1;
        if (lz[id] != -1) push(id);
        if (p <= mid) return get(id << 1, l, mid, p);
        return get(id << 1 | 1, mid + 1, r, p);
    }
    int get(int p){
        return get(1, 1, n, p);
    }

};

void compress(){
    vector<int> compX, compY;
    FOR(i,1,n){
        compX.pb(R[i-1].x); compX.pb(R[i-1].x2);
        compY.pb(R[i-1].y); compY.pb(R[i-1].y2);
    }
    FOR(i,1,m){
        compX.pb(P[i-1].x);
        compY.pb(P[i-1].y);
    }
    sort(ALL(compX));
    sort(ALL(compY));
    int cur = compX[0], cnt = 1;
    map<int,int> mpX, mpY;
    for (int &x : compX){
        if (x != cur) cur = x, cnt++;
        mpX[cur] = cnt;
    }
    cur = compY[0], cnt = 1;
    for (int &y : compY){
        if (y != cur) cur = y, cnt++;
        mpY[cur] = cnt;
    }
    FOR(i,1,n){
        R[i-1].x = mpX[R[i-1].x];
        R[i-1].y = mpY[R[i-1].y];
        R[i-1].x2 = mpX[R[i-1].x2];
        R[i-1].y2 = mpY[R[i-1].y2];
    }
    FOR(i,1,m){
        P[i-1].x = mpX[P[i-1].x];
        P[i-1].y = mpY[P[i-1].y];
    }
}

void dfs(int u, int p){
    for (int &x : a[u]) s[u].insert(x);
    for (int &v : G[u]){
        if (v == p) continue;
        dfs(v, u);
        if (s[u].size() < s[v].size()) swap(s[u], s[v]);
        for (const int &x : s[v]) s[u].insert(x);
    }
    res[u] = s[u].size();
}

void solve(){
    cin >> n >> m;
    FOR(i,1,n){
        int x,y,x2,y2;cin>>x>>y>>x2>>y2;
        R.pb({x,y,x2,y2});
    }

    FOR(i,1,m){
        int x,y,c; cin >> x >> y >> c;
        P.pb({x,y,c});
    }

    compress();

    FOR(i,1,n){
        E.pb({0,R[i-1].x,R[i-1].y,R[i-1].y2,i});
        E.pb({2,R[i-1].x2,R[i-1].y,R[i-1].y2,i});
    }

    FOR(i,1,m){
        E.pb({1,P[i-1].x,P[i-1].y,0,P[i-1].c});
    }

    sort(ALL(E),[&](const event &A, const event &B){
        if (A.x == B.x) return A.op < B.op;
        return A.x < B.x;
    });

    SMT tree(3 * n);

    for (event &x : E){
        if (x.op == 0){ /// add a rectangle to segment tree
            par[x.i] = tree.get(x.y);
            if (par[x.i] == 0) root.push_back(x.i);
            if (par[x.i] > 0) G[tree.get(x.y)].push_back(x.i);
            tree.up(x.y, x.y2, x.i);
        } else
        if (x.op == 1){ /// find point's parent
            a[tree.get(x.y)].push_back(x.i);
        } else
        if (x.op == 2){
            tree.up(x.y, x.y2, par[x.i]);
        }
    }

    for (int &x : root) dfs(x, 0);

    FOR(i,1,n){
        cout << res[i] << '\n';
    }

}

int32_t main(){
    ios_base::sync_with_stdio(false);
    cin.tie(__null); cout.tie(__null);
    solve();
    return 0;
}
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