Submission #1145676

#TimeUsernameProblemLanguageResultExecution timeMemory
1145676IssaHighway Tolls (IOI18_highway)C++20
100 / 100
107 ms12052 KiB
#include "highway.h"
#include <bits/stdc++.h>
using namespace std;
typedef pair<int, int> pii;
typedef long long ll;

const int maxn = 1e5 + 100;

int n, m;
vector<pii> g[maxn];
vector<int> s[2];
int t[maxn];
int f[maxn];
int d[maxn];
ll dist;

int calc(vector<int> s){
    int v = -1;
    for(int l = 0, r = s.size()-1; l <= r;){
        int mid = (l + r) >> 1;
        vector<int> q(m, 0);
        for(int i = 0; i <= mid; i++){
            q[f[s[i]]] = 1;
        } if(ask(q) == dist) l = mid + 1;
        else r = mid - 1, v = s[mid];
    } return v;
}

void find_pair(int N, std::vector<int> U, std::vector<int> V, int A, int B) {
    n = N; m = U.size();
    dist = ask(vector<int>(m, 0));
    for(int i = 0; i < m; i++){
        int a = U[i], b = V[i];
        g[a].push_back({b, i});
        g[b].push_back({a, i});
    }
    int i;
    for(int l = 0, r = m-1; l <= r;){
        int mid = (l + r) >> 1;
        vector<int> q(m, 0);
        for(int j = 0; j <= mid; j++){
            q[j] = 1;
        }
        if(ask(q) == dist) l = mid + 1;
        else r = mid - 1, i = mid;
    }
    fill(t, t + n, -1);
    t[V[i]] = 1;
    t[U[i]] = 0;
    queue<int> q;
    q.push(V[i]);
    q.push(U[i]);
    while(q.size()){
        int v = q.front();
        q.pop();
        for(auto [to, i]: g[v]){
            if(t[to] == -1){
                d[to] = d[v] + 1;
                t[to] = t[v];
                s[t[v]].push_back(to);
                f[to] = i;
                q.push(to);
            }
        }
    } vector<int> ans = {U[i], V[i]};
    for(int c = 0; c < 2; c++){
        reverse(s[c].begin(), s[c].end());
        vector<int> q(m, 1);
        for(int l = 0, r = s[c].size()-1; l <= r;){
            int mid = (l + r) >> 1;
            vector<int> q(m, 1);
            for(int x: s[0]) q[f[x]] = 0;
            for(int x: s[1]) q[f[x]] = 0;
            q[i] = 0;
            for(int i = 0; i <= mid; i++){
                q[f[s[c][i]]] = 1;
            } if(ask(q) == dist) l = mid + 1;
            else r = mid - 1, ans[c] = s[c][mid];
        }
    } answer(ans[0], ans[1]);
    // cout << ans[0] << ' ' << ans[1] << ' ' << 1ll * A * (d[ans[0]] + d[ans[1]] + 1) << endl;
    // cout << dist << ' ' << 1ll * A * (d[S] + d[T] + 1) << endl;
    // cout << t[S] << ' ' << t[T] << endl;
    // cout << a << ' ' << b << endl;
}
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