Submission #1143792

#TimeUsernameProblemLanguageResultExecution timeMemory
1143792PagodePaivaCarnival Tickets (IOI20_tickets)C++20
0 / 100
1052 ms13548 KiB
#include<bits/stdc++.h> #include "tickets.h" #include <vector> #define ll long long using namespace std; const long long N = 85; vector <vector <int>> x; long long n, m, k; long long l[N], r[N]; long long cnt[N]; long long ans[N][N]; long long dp[N][N*N]; long long best[N][N*N]; long long pref[N][N]; vector <vector <int>> answer; /* X <= (N/2)*K dp[i][j] = estou na linha i e quero pegar j bons O(n*n*k*m) */ long long query(long long linha, long long l, long long r){ if(r < l) return 0; if(l == 0) return pref[linha][r]; return pref[linha][r]-pref[linha][l-1]; } void solve(){ memset(ans, -1, sizeof ans); vector<array <long long, 3>> valores; for(long long i = 0;i < n;i++){ cnt[i] = 0; for(long long j = 0;j <= l[i];j++){ valores.push_back({x[i][j], i, j}); } for(long long j = r[i];j < m;j++){ valores.push_back({x[i][j], i, j}); } } sort(valores.begin(), valores.end()); for(long long i = 0;i < (n/2)*k;i++){ cnt[valores[i][1]]++; } long long res = 0; long long turno = 0; for(long long i = 0;i < n;i++){ r[i] = m-1; l[i] = 0; } for(long long i = 0;i < k;i++){ vector <pair <long long, long long>> contadores; for(long long i = 0;i < n;i++){ contadores.push_back({cnt[i], i}); } sort(contadores.begin(), contadores.end()); for(long long i = 0;i < n/2;i++){ swap(contadores[i].first, contadores[i].second); ans[contadores[i].first][r[contadores[i].first]] = turno; res += x[contadores[i].first][r[contadores[i].first]]; r[contadores[i].first]--; } for(long long i = n/2;i < n;i++){ swap(contadores[i].first, contadores[i].second); ans[contadores[i].first][l[contadores[i].first]] = turno; res -= x[contadores[i].first][l[contadores[i].first]]; l[contadores[i].first]++; cnt[contadores[i].first]--; } turno++; } for(long long i = 0;i < n;i++){ vector <int> aux; for(long long j = 0;j < m;j++){ aux.push_back(ans[i][j]); } answer.push_back(aux); } allocate_tickets(answer); } long long find_maximum(int kk, std::vector<std::vector<int>> xx) { x = xx; memset(ans, -1, sizeof ans); n = x.size(); m = x[0].size(); k = kk; vector<array <long long, 3>> valores; for(long long i = 0;i < n;i++){ for(long long j = 0;j < m;j++){ valores.push_back({x[i][j], i, j}); pref[i+1][j] = (j == 0 ? 0 : pref[i+1][j-1]) + x[i][j]; } } sort(valores.begin(), valores.end()); for(long long i = 0;i < (n/2)*m;i++){ cnt[valores[i][1]+1]++; } dp[0][0] = 0; for(long long i = 1;i <= n*k;i++){ dp[0][i] = -1e14; } for(long long i = 1;i <= n;i++){ for(long long j = 0;j <= (n/2)*k;j++){ dp[i][j] = -1e14; best[i][j] = -1; for(long long t = 0;t <= k;t++){ if(j-t < 0) break; if(t > cnt[i]) continue; if(m-1-(m-(k-t))+1 > m-cnt[i]) continue; if(dp[i][j] < dp[i-1][j-t] - query(i, 0, t-1) + query(i, m-(k-t), m-1)){ dp[i][j] = dp[i-1][j-t] - query(i, 0, t-1) + query(i, m-(k-t), m-1); best[i][j] = t; } } } } long long nn = n, qtd = (n/2)*k; while(nn > 0){ long long v = best[nn][qtd]; l[nn-1] = v-1; r[nn-1] = m-(k-v); qtd -= v; nn--; } solve(); return dp[n][(n/2)*k]; }
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