Submission #428508

#TimeUsernameProblemLanguageResultExecution timeMemory
428508alishahali1382Carnival Tickets (IOI20_tickets)C++14
39 / 100
3067 ms1008788 KiB
#include "tickets.h" #include <bits/stdc++.h> #pragma GCC optimize("O2") using namespace std; typedef long long ll; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef vector<int> vi; #define debug(x) {cerr<<#x<<"="<<x<<"\n";} #define debug2(x, y) {cerr<<"{"<<#x<<", "<<#y<<"}={"<<x<<", "<<y<<"}\n";} #define debugp(p) {cerr<<#p<<"={"<<p.first<<", "<<p.second<<"}\n";} #define debugv(abcd) {cerr<<#abcd<<": "; for (auto dcba:abcd) cerr<<dcba<<", ";cerr<<"\n";} #define pb push_back #define all(x) x.begin(), x.end() #define SZ(x) ((int)x.size()) const int inf=1000000100; // 1e9 const ll INF=10000000001000000; // 1e16 const int mod=1000000007; const int MAXN=1510, LOG=20; int n, m, k, x, y, u, v, t, a, b, ans; int A[MAXN][MAXN]; ll B[MAXN][MAXN]; ll dp[MAXN][3300]; int par[MAXN][3300]; vector<vi> out; vi out1[MAXN], out2[MAXN]; inline bool upd(ll &x, ll y){ if (x>=y) return 0; x=y; return 1; } ll find_maximum(int _k, vector<vi> _A) { n=SZ(_A); m=SZ(_A[0]); k=_k; for (int i=1; i<=n; i++){ for (int j=1; j<=m; j++) A[i][j]=_A[i-1][j-1]; for (int j=1; j<=k; j++) B[i][0]-=A[i][j]; for (int j=1; j<=k; j++) B[i][j]=B[i][j-1]+A[i][m-j+1]+A[i][k-j+1]; // B convex increasing // B[j]<=B[j+1] // B[j]-B[j-1]>=B[j+1]-B[j] } out.resize(n, vector<int>(m, -1)); // assert(k==1); memset(dp, -63, sizeof(dp)); dp[0][0]=0; for (int i=1; i<=n; i++){ for (int j=0; j<=i*k && j<=n*k/2; j++){ for (int t=0; t<=min(k, j); t++){ if (upd(dp[i][j], dp[i-1][j-t]+B[i][t])) par[i][j]=t; } } } ll res=dp[n][n*k/2]; debug(res) int j=n*k/2; for (int i=n; i; i--){ for (int x=1; x<=k-par[i][j]; x++) out1[i].pb(x); for (int x=0; x<par[i][j]; x++) out2[i].pb(m-x); j-=par[i][j]; } assert(!j); while (k--){ vector<pii> vec; for (int i=1; i<=n; i++) vec.pb({SZ(out1[i]), i}); sort(all(vec)); for (int ii=1; ii<=n; ii++){ int i=vec[ii-1].second; if (ii>n/2){ assert(SZ(out1[i])); out[i-1][out1[i].back()-1]=k; out1[i].pop_back(); } else{ assert(SZ(out2[i])); out[i-1][out2[i].back()-1]=k; out2[i].pop_back(); } } } allocate_tickets(out); return res; }
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