제출 #1256923

#제출 시각아이디문제언어결과실행 시간메모리
1256923ro9669축제 (IOI25_festival)C++20
51 / 100
69 ms9908 KiB
#include "festival.h"
#include <bits/stdc++.h>
#define sz(a) int(a.size())
#define all(a) a.begin(),a.end()
#define fi first
#define se second
using namespace std;

typedef long long ll;
typedef pair<int , int> ii;
const ll inf = ll(1e18);
const int maxN = int(2e5)+7;

int w; vector<int> p , t;

ll cost(ll cur , int i){
    ll tmp = cur - 1ll * p[i];
    if (tmp <= inf / t[i]) return 1ll * tmp * t[i]; else return inf;
}

namespace sub1{
    bool check(){
        int n = sz(p);
        for (int i = 0 ; i < n ; i++){
            if (t[i] > 2) return false;
        }
        return true;
    }

    vector<ii> g[2];

    ll S[maxN];

    int calc(ll x){
        int l = 0 , r = sz(g[0]) , ans = 0;
        while (l <= r){
            int mid = (l + r) / 2;
            if (x >= S[mid]){
                ans = mid;
                l = mid + 1;
            }
            else{
                r = mid - 1;
            }
        }
        return ans;
    }

    vector<int> solve(){
        int n = sz(p);
        for (int i = 0 ; i < n ; i++){
            g[t[i] - 1].push_back({p[i] , i});
        }
        sort(all(g[0])); sort(all(g[1]));
        S[0] = 0;
        for (int i = 0 ; i < sz(g[0]) ; i++){
            S[i + 1] = S[i] + 1ll * g[0][i].fi;
        }
        pair<int , int> res = {calc(w) , 0};
        ll cur = w;
        for (int i = 0 ; i < sz(g[1]) ; i++){
            if (cur > g[1][i].fi){
                cur = cost(cur , g[1][i].se);
                if (res.fi < i + 1 + calc(cur)){
                    res = {i + 1 + calc(cur) , i + 1};
                }
            }
        }
        vector<int> ans;
        for (int i = 0 ; i < res.se ; i++) ans.push_back(g[1][i].se);
        for (int i = 0 ; i < res.fi - res.se ; i++) ans.push_back(g[0][i].se);
        return ans;
    }
}

namespace sub5{
    vector<ii> g[4];
    int id[4];

    ll S[maxN];

    int calc(ll x){
        int l = 0 , r = sz(g[0]) , ans = 0;
        while (l <= r){
            int mid = (l + r) / 2;
            if (x >= S[mid]){
                ans = mid;
                l = mid + 1;
            }
            else{
                r = mid - 1;
            }
        }
        return ans;
    }

    vector<int> solve(){
        int n = sz(p);
        for (int i = 0 ; i < n ; i++){
            g[t[i] - 1].push_back({p[i] , i});
        }
        for (int i = 0 ; i < 4 ; i++){
            sort(all(g[i]));
            id[i] = 0;
        }
        S[0] = 0;
        for (int i = 0 ; i < sz(g[0]) ; i++){
            S[i + 1] = S[i] + 1ll * g[0][i].fi;
        }
        pair<int , int> res = {calc(w) , 0};
        vector<int> tmp_lis;
        ll cur = w;
        while (true){
            vector<int> tmp;
            for (int i = 1 ; i < 4 ; i++){
                if (id[i] < sz(g[i])){
                    if (cur <= cost(cur , g[i][id[i]].se)) tmp.push_back(i);
                }
            }
            if (tmp.empty()) break;
            for (int i = 0 ; i < sz(tmp) ; i++){
                for (int j = i + 1 ; j < sz(tmp) ; j++){
                    ll X = 1ll * (tmp[i] + 1) * tmp[j] * g[tmp[i]][id[tmp[i]]].fi;
                    ll Y = 1ll * tmp[i] * (tmp[j] + 1) * g[tmp[j]][id[tmp[j]]].fi;
                    if (Y <= X) swap(tmp[i] , tmp[j]);
                }
            }
            int pos = g[tmp[0]][id[tmp[0]]].se;
            cur = cost(cur , pos);
            tmp_lis.push_back(pos);
            id[tmp[0]]++;
            int X = calc(cur);
            if (X + sz(tmp_lis) > res.fi){
                res = {X + sz(tmp_lis) , sz(tmp_lis)};
            }
        }
        while (true){
            vector<int> tmp;
            for (int i = 1 ; i < 4 ; i++){
                if (id[i] < sz(g[i])){
                    if (cur >= g[i][id[i]].fi) tmp.push_back(i);
                }
            }
            if (tmp.empty()) break;
            for (int i = 0 ; i < sz(tmp) ; i++){
                for (int j = i + 1 ; j < sz(tmp) ; j++){
                    ll X = 1ll * (tmp[i] + 1) * tmp[j] * g[tmp[i]][id[tmp[i]]].fi;
                    ll Y = 1ll * tmp[i] * (tmp[j] + 1) * g[tmp[j]][id[tmp[j]]].fi;
                    if (Y <= X) swap(tmp[i] , tmp[j]);
                }
            }
            int pos = g[tmp[0]][id[tmp[0]]].se;
            cur = cost(cur , pos);
            tmp_lis.push_back(pos);
            id[tmp[0]]++;
            int X = calc(cur);
            if (X + sz(tmp_lis) > res.fi){
                res = {X + sz(tmp_lis) , sz(tmp_lis)};
            }
        }
        vector<int> ans;
        for (int i = 0 ; i < res.se ; i++) ans.push_back(tmp_lis[i]);
        for (int i = 0 ; i < res.fi - res.se ; i++) ans.push_back(g[0][i].se);
        return ans;
    }
}

vector<int> max_coupons(int W , vector<int> P , vector<int> T){
    w = W; p = P; t = T;
    //if (sub1::check()) return sub1::solve();
    return sub5::solve();
}

// int main(){
//     ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
//     freopen("templete.inp" , "r" , stdin);
//     freopen("templete.out" , "w" , stdout);
//     int n , W; cin >> n >> W;
//     vector<int> P(n) , T(n);
//     for (int &x : P) cin >> x;
//     for (int &x : T) cin >> x;
//     vector<int> ans = max_coupons(W , P , T);
//     cout << sz(ans) << "\n";
//     //for (int x : ans) cout << x << " ";
//     //cerr << sz(ans) << " " << n << "\n";
//     return 0;
// }
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