Submission #1040976

#TimeUsernameProblemLanguageResultExecution timeMemory
1040976GrindMachineArranging Tickets (JOI17_arranging_tickets)C++17
65 / 100
6067 ms35288 KiB
#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(...) 42
#endif
 
/*
 
refs:
edi
 
*/
 
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
 
void solve(int test_case)
{
    ll n,m; cin >> n >> m;
    vector<pll> a(m+5);
    rep1(i,m){
        ll l,r,c; cin >> l >> r >> c;
        if(l > r) swap(l,r);
        a[i] = {l,r};
    }

    vector<ll> enter[n+5];    
    vector<ll> diff(n+5);
    rep1(i,m){
        auto [l,r] = a[i];
        diff[l]++, diff[r]--;
        enter[l].pb(r);
    }

    rep1(i,n) diff[i] += diff[i-1];
    
    vector<pll> pick;

    auto go = [&](ll d){
        vector<ll> close(n+5);
        ll curr = 0;
        priority_queue<pll> pq;
        ll res = 0;

        rep1(i,n){
            trav(r,enter[i]){
                pq.push({r,i});
            }
            curr -= close[i];
            ll val = diff[i]-curr*2;
            while(val > d){
                auto [r,l] = pq.top();
                pq.pop();
                res++;
                curr++;
                val -= 2;
                close[r]++;
                pick.pb({l,r});
            }
        }

        return res;
    };
        
    vector<pll> prev_pick;

    for(int d = m; d >= 0; d -= 2){
        pick.clear();
        go(d);
        multiset<pll> ms(all(pick));
        for(auto [l,r] : prev_pick){
            auto it = ms.find({l,r});
            if(it == ms.end()){
                assert(0);
            }

            ms.erase(it);
        }

        prev_pick = pick;
    }

    prev_pick.clear();

    for(int d = m-1; d >= 0; d -= 2){
        pick.clear();
        go(d);
        multiset<pll> ms(all(pick));
        for(auto [l,r] : prev_pick){
            auto it = ms.find({l,r});
            if(it == ms.end()){
                assert(0);
            }

            ms.erase(it);
        }

        prev_pick = pick;
    }

    ll ans = inf2;
    rep(d,m+1){
        amin(ans,go(d)+d);
    }
 
    cout << ans << endl;
}
 
int main()
{
    fastio;
 
    int t = 1;
    // cin >> t;
 
    rep1(i, t) {
        solve(i);
    }
 
    return 0;
}
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