Submission #1252684

#TimeUsernameProblemLanguageResultExecution timeMemory
1252684Zbyszek99Festival (IOI25_festival)C++20
100 / 100
160 ms171208 KiB
#include "festival.h" #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define ll long long #define ld long double #define ull unsigned long long #define ff first #define ss second #define pii pair<int,int> #define pll pair<long long, long long> #define vi vector<int> #define vl vector<long long> #define pb push_back #define rep(i, b) for(int i = 0; i < (b); ++i) #define rep2(i,a,b) for(int i = a; i <= (b); ++i) #define rep3(i,a,b,c) for(int i = a; i <= (b); i+=c) #define count_bits(x) __builtin_popcountll((x)) #define all(x) (x).begin(),(x).end() #define siz(x) (int)(x).size() #define forall(it,x) for(auto& it:(x)) using namespace __gnu_pbds; using namespace std; typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set; //mt19937 mt;void random_start(){mt.seed(chrono::time_point_cast<chrono::milliseconds>(chrono::high_resolution_clock::now()).time_since_epoch().count());} //ll los(ll a, ll b) {return a + (mt() % (b-a+1));} const int INF = 1e9+50; const ll INF_L = 1e18+40; const ll MOD = 1e9+7; ll P[200001]; ll T[200001]; bool comp(int a, int b) { ll val_a = -P[a]*T[a]*T[b]-P[b]*T[b]; ll val_b = -P[b]*T[b]*T[a]-P[a]*T[a]; if(val_a != val_b) return val_a > val_b; if(T[a] != T[b]) return T[a] > T[b]; return P[a] < P[b]; } pll dp[200002][52]; vi max_coupons(int A2, vi P2, vi T2) { ll coins = A2; int n = siz(P2); rep(i,n) { P[i] = P2[i]; T[i] = T2[i]; } vi v; rep(i,n) v.pb(i); sort(all(v),comp); vi ans; int start_ind = n; rep(i,n) { if(coins >= 1e15) { rep2(j,i,n-1) { ans.pb(v[j]); } return ans; } if((coins-P[v[i]]) * T[v[i]] >= coins) { ans.pb(v[i]); coins = (coins-P[v[i]])*T[v[i]]; } else { start_ind = i; break; } } if(start_ind == n) return ans; vi v2; vi ones; rep2(i,start_ind,n-1) { if(T[v[i]] > 1) v2.pb(v[i]); else ones.pb(v[i]); } rep(i,siz(v2)+1) { rep(d,51) { dp[i][d] = {-1,-1}; } } dp[0][0] = {coins,-1}; rep(i,siz(v2)) { rep(d,51) { dp[i+1][d] = max(dp[i+1][d],dp[i][d]); if((dp[i][d].ff-P[v2[i]])*T[v2[i]] >= 0) { dp[i+1][d+1] = max(dp[i+1][d+1],{(dp[i][d].ff-P[v2[i]])*T[v2[i]],i}); } } } pii best = {0,0}; rep(d,51) { if(dp[siz(v2)][d].ff == -1) continue; ll c = dp[siz(v2)][d].ff; int ans2 = d; forall(it,ones) { if((c-P[it])*T[it] >= 0) { ans2++; c = (c-P[it])*T[it]; } } best = max(best,{ans2,d}); } int opt = best.ss; int cur_elm = siz(v2); vi ans2; while(dp[cur_elm][opt].ss != -1) { ans2.pb(v2[dp[cur_elm][opt].ss]); cur_elm = dp[cur_elm][opt].ss; opt--; } reverse(all(ans2)); forall(it,ans2) ans.pb(it); coins = A2; forall(it,ans) coins = (coins-P[it])*T[it]; forall(it,ones) if((coins-P[it])*T[it] >= 0) { coins = (coins-P[it])*T[it]; ans.pb(it); } return ans; }
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