제출 #896384

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
896384		GrindMachine	Tourism (JOI23_tourism)	C++17	100 / 100	1263 ms	64724 KiB

tourism

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl

#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a,b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a,b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif

/*

refs:
https://codeforces.com/blog/entry/114003?#comment-1015100

*/

const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

vector<int> adj1[N];

struct lca_algo {
    // LCA template (for graphs with 1-based indexing)
 
    int LOG = 1;
    vector<int> depth;
    vector<vector<int>> up;
    vector<int> tin, tout;
    int timer = 1;
 
    lca_algo() {
 
    }
 
    lca_algo(int n) {
        lca_init(n);
    }
 
    void lca_init(int n) {
        while ((1 << LOG) < n) LOG++;
        up = vector<vector<int>>(n + 1, vector<int>(LOG, 1));
        depth = vector<int>(n + 1);
        tin = vector<int>(n + 1);
        tout = vector<int>(n + 1);
 
        lca_dfs(1, -1);
    }
 
    void lca_dfs(int node, int par) {
        tin[node] = timer++;
 
        trav(child, adj1[node]) {
            if (child == par) conts;
 
            up[child][0] = node;
            rep1(j, LOG - 1) {
                up[child][j] = up[up[child][j - 1]][j - 1];
            }
 
            depth[child] = depth[node] + 1;
 
            lca_dfs(child, node);
        }
 
        tout[node] = timer-1;
    }
 
    int lift(int u, int k) {
        rep(j, LOG) {
            if (k & (1 << j)) {
                u = up[u][j];
            }
        }
 
        return u;
    }
 
    int query(int u, int v) {
        if (depth[u] < depth[v]) swap(u, v);
        int k = depth[u] - depth[v];
        u = lift(u, k);
 
        if (u == v) return u;
 
        rev(j, LOG - 1, 0) {
            if (up[u][j] != up[v][j]) {
                u = up[u][j];
                v = up[v][j];
            }
        }
 
        u = up[u][0];
        return u;
    }
 
    int get_dis(int u, int v) {
        int lca = query(u, v);
        return depth[u] + depth[v] - 2 * depth[lca];
    }
 
    bool is_ances(int u, int v){
        return tin[u] <= tin[v] and tout[u] >= tout[v];
    }
};

template<typename T>
struct fenwick {
    int siz;
    vector<T> tree;

    fenwick() {

    }

    fenwick(int n) {
        siz = n;
        tree = vector<T>(n + 1);
    }

    int lsb(int x) {
        return x & -x;
    }

    void build(vector<T> &a, int n) {
        for (int i = 1; i <= n; ++i) {
            int par = i + lsb(i);
            tree[i] += a[i];

            if (par <= siz) {
                tree[par] += tree[i];
            }
        }
    }

    void pupd(int i, T v) {
        while (i <= siz) {
            tree[i] += v;
            i += lsb(i);
        }
    }

    T sum(int i) {
        T res = 0;

        while (i) {
            res += tree[i];
            i -= lsb(i);
        }

        return res;
    }

    T query(int l, int r) {
        if (l > r) return 0;
        T res = sum(r) - sum(l - 1);
        return res;
    }
};

lca_algo LCA;
vector<int> a(N);
vector<pii> adj2[N];
vector<int> mxl(N), mnr(N);
vector<array<int,3>> edge_contrib;

void dfs1(int u, int p){
    for(auto [v,d] : adj2[u]){
        if(v == p) conts;
        dfs1(v,u);
        amax(mxl[u],mxl[v]);
        amin(mnr[u],mnr[v]);
        edge_contrib.pb({mxl[v],mnr[v],d});
    }
}

vector<int> ans(N);
vector<array<int,3>> here[N];
fenwick<int> fenw(N);

void go(int l, int r, vector<array<int,3>> queries){
    if(l > r) return;

    int mid = (l+r) >> 1;
    vector<array<int,3>> queries_left, queries_right, queries_curr;

    for(auto [ql,qr,id] : queries){
        if(qr < mid){
            queries_left.pb({ql,qr,id});
        }
        else if(ql > mid){
            queries_right.pb({ql,qr,id});
        }
        else{
            queries_curr.pb({ql,qr,id});
        }
    }

    vector<pii> nodes;
    for(int i = l; i <= r; ++i){
        int u = a[i];
        nodes.pb({LCA.tin[u],u});
    }

    sort(all(nodes));
    int siz = sz(nodes);

    rep(i,siz-1){
        int lca = LCA.query(nodes[i].ss,nodes[i+1].ss);
        nodes.pb({LCA.tin[lca],lca});
    }

    sort(all(nodes));
    nodes.resize(unique(all(nodes))-nodes.begin());
    siz = sz(nodes);

    stack<int> stk;
    stk.push(nodes[0].ss);

    rep1(i,siz-1){
        auto [ti,u] = nodes[i];
        while(!LCA.is_ances(stk.top(),u)){
            stk.pop();
        }
        assert(!stk.empty());
        
        int p = stk.top();
        int d = LCA.get_dis(p,u);
        adj2[p].pb({u,d}), adj2[u].pb({p,d});
        stk.push(u);
    }

    for(auto [ti,u] : nodes){
        mxl[u] = 0;
        mnr[u] = r+1;
    }

    for(int i = l; i < mid; ++i){
        int u = a[i];
        amax(mxl[u],i);
    }
    for(int i = mid+1; i <= r; ++i){
        int u = a[i];
        amin(mnr[u],i);
    }

    edge_contrib.clear();
    int root = a[mid];
    dfs1(root,-1);

    for(auto [ql,qr,id] : queries_curr){
        here[ql].pb({qr,id,1});
    }

    for(auto [lx,rx,w] : edge_contrib){
        here[lx].pb({rx,w,2});
    }

    int sum = 0;
    for(auto [lx,rx,w] : edge_contrib){
        if(lx >= l){
            sum += w;
        }
        else{
            fenw.pupd(rx,w);
        }
    }

    for(int ql = l; ql <= mid; ++ql){
        trav(ar,here[ql]){
            if(ar[2] == 1){
                auto [qr,id,t] = ar;
                int res = sum+fenw.query(1,qr)+1;
                ans[id] = res;
            }
            else{
                auto [rx,w,t] = ar;
                sum -= w;
                fenw.pupd(rx,w);
            }
        }
    }

    // reset
    for(auto [ql,qr,id] : queries_curr){
        here[ql].clear();
    }
    for(auto [lx,rx,w] : edge_contrib){
        here[lx].clear();
    }
    for(auto [ti,u] : nodes){
        adj2[u].clear();
    }
    for(auto [lx,rx,w] : edge_contrib){
        fenw.pupd(rx,-w);
    }

    go(l,mid-1,queries_left);
    go(mid+1,r,queries_right);
}

void solve(int test_case)
{
    int n,m,q; cin >> n >> m >> q;
    rep1(i,n-1){
        int u,v; cin >> u >> v;
        adj1[u].pb(v), adj1[v].pb(u);
    }
    rep1(i,m) cin >> a[i];

    LCA = lca_algo(n);
    vector<array<int,3>> queries;

    rep1(i,q){
        int l,r; cin >> l >> r;
        queries.pb({l,r,i});
    }

    go(1,m,queries);

    rep1(i,q) cout << ans[i] << endl;
}

int main()
{
    fastio;

    int t = 1;
    // cin >> t;

    rep1(i, t) {
        solve(i);
    }

    return 0;
}

• Subtask 1: 5 / 5
• Subtask 2: 5 / 5
• Subtask 3: 7 / 7
• Subtask 4: 18 / 18
• Subtask 5: 24 / 24
• Subtask 6: 41 / 41