Submission #1211294

#TimeUsernameProblemLanguageResultExecution timeMemory
1211294user736482Soccer Stadium (IOI23_soccer)C++20
6 / 100
658 ms426380 KiB
#pragma GCC optimize("O3") #include <bits/stdc++.h> using namespace std; #define ll long long #define ld long double #define pb push_back #define ff first #define ss second #define MOD 1000000009 #define INF 1000000019 #define POT (1<<20) #define INFL 1000000000000000099 ll toint(pair<pair<ll,ll>,pair<ll,ll>>a){ return ((a.ff.ff*2007LL+a.ff.ss)*2007LL+a.ss.ff)*2007LL+a.ss.ss; } pair<pair<ll,ll>,pair<ll,ll>>fromint(ll x){ return {{(x/(2007LL*2007LL*2007LL))%2007,(x/(2007LL*2007LL))%2007},{(x/2007)%2007,x%2007}}; } ll inv(ll aa,ll n){ auto a=fromint(aa); //swap(a.ff.ff,a.ff.ss); swap(a.ss.ff,a.ss.ss); //a.ff.ff=n-a.ff.ff+1; //a.ff.ss=n-a.ff.ss+1; a.ss.ff=n-a.ss.ff+1; a.ss.ss=n-a.ss.ss+1; return toint(a); } void wyp(ll x){ auto a= fromint(x); cout<<a.ff.ff<<" "<<a.ff.ss<<" "<<a.ss.ff<<" "<<a.ss.ss<<" "; } pair<map<ll,vector<ll>>,vector<ll>>pomf(int n,vector<vector<int>>f){ map<ll,vector<ll>>mp; vector<ll>v; ll mx[n+7][n+7]; ll nxt[n+7][n+7][11]; for(ll i=1;i<=n;i++){mx[0][i]=0;nxt[n+1][i][0]=n+1;} for(ll i=1;i<=n;i++){ mx[i][0]=10000; mx[i][n+1]=10000; for(ll j=1;j<=n;j++){ mx[i][j]=mx[i-1][j]; if(f[i-1][j-1])mx[i][j]=i; } mx[n+1][i]=n+1; } for(ll i=0;i<=n+1;i++)nxt[n+1][i][0]=n+1; for(ll i=n;i>=1;i--){ nxt[i][n+1][0]=n+1; for(ll j=n;j>=1;j--){ nxt[i][j][0]=nxt[i+1][j][0]; if(f[i-1][j-1])nxt[i][j][0]=i; } for(ll j=1;j<11;j++){ for(ll k=0;k+(1<<j)-1<=n+1;k++)nxt[i][k][j]=min(nxt[i][k][j-1],nxt[i][k+(1<<(j-1))-1][j-1]); } } for(ll i=0;i<=n+1;i++){ for(ll j=0;j<=n+1;j++){ //cout<<nxt[i][j][0]<<" "<<mx[i][j]<<" "; } //cout<<"\n"; } // cout<<"\n\n"; for(ll i=1;i<=n;i++){ ll lw[n+7],pw[n+7],lwp[n+7],pwp[n+7],pomlw[n+7]; lwp[0]=0; pwp[n+1]=n+1; for(ll j=1;j<=n;j++){ lwp[j]=lwp[j-1]; if(mx[i+1][j]==i+1)lwp[j]=j; } for(ll j=n;j>=1;j--){ pwp[j]=pwp[j+1]; if(mx[i+1][j]==i+1)pwp[j]=j; } for(ll i=1;i<=n;i++){ // cout<<lwp[i]<<" "<<pwp[i]<< " "; } // cout<<"\n"; stack<pair<ll,ll>>st; st.push({10000,0}); //return {mp,v}; for(ll j=1;j<=n;j++){ while(mx[i][j]>st.top().ff)st.pop(); pomlw[j]=st.top().ss; st.push({mx[i][j],j}); } while(st.size())st.pop(); st.push({10000,0}); for(ll j=1;j<=n;j++){ while(mx[i][j]>=st.top().ff)st.pop(); lw[j]=st.top().ss; st.push({mx[i][j],j}); } while(st.size())st.pop(); st.push({10000,n+1}); for(ll j=n;j>=1;j--){ while(mx[i][j]>=st.top().ff)st.pop(); pw[j]=st.top().ss; st.push({mx[i][j],j}); } lw[0]=0; lw[n+1]=n+1; pw[0]=0; pw[n+1]=n+1; for(ll j=1;j<=n;j++){ if(mx[i][pomlw[j]]==mx[i][j])continue; //cout<<pw[j]<<"aa "; ll lx=lw[j]+1; ll px=pw[j]-1; ll ly=mx[i][j]+1; ll py=i; //cout<<lx<<" "<<px<<" "<<ly<<" "<<py<<"\n\n"; if((lwp[j]>=lx || pwp[j]<=px) && lx<=px & ly<=py){ v.pb(toint({{lx,px},{ly,py}})); } if(lx==1 && px==n)continue; ll lg=log2(px-lx+1); ll py2=min(nxt[i][lx][lg],nxt[i][px-(1<<lg)+1][lg])-1; ll ly2=min(mx[i][lx-1],mx[i][px+1])+1; ll lx2,px2; if(ly2==mx[i][lx-1]+1){ lx2=lw[lx-1]+1; px2=pw[lx-1]-1; } else{ lx2=lw[px+1]+1; px2=pw[px+1]-1; } //cout<<lx2<<" "<<px2<<" "<<ly2<<" "<<py2<<"\n\n\n"; mp[toint({{lx2,px2},{ly2,py}})].pb(toint({{lx,px},{ly,py2}})); } } return {mp,v}; } int biggest_stadium(int n,vector<vector<int>>f){ ll ans=0; for(auto i :f){ // for(auto j : i)cout<<j<<" "; // cout<<"\n"; } // cout<<"\n"; auto pom=pomf(n,f); //return 0; vector<ll>states=pom.ss; // cout<<"\n\n\n"; map<ll,vector<ll>>przej=pom.ff; //for(ll i : states){wyp(i);/*cout<<": ";for(ll j : pom.ff[i])wyp(j);*/cout<<"\n";}//return 0; for(auto it : przej){ //wyp(it.ff); //cout<<": "; //for(ll i : it.ss)wyp(i); //cout<<"\n"; } map<ll,ll>bst; for(ll i=0;i<n/2;i++){ for(ll j=0;j<n;j++)swap(f[i][j],f[n-i-1][j]); }//return 0; for(auto i :f){ // for(auto j : i)cout<<j<<" "; // cout<<"\n"; } // cout<<"\n"; auto pom2=pomf(n,f); for(ll i : pom2.ss)states.pb(inv(i,n)); for(auto it : pom2.ff){ for(ll i : (it).ss)przej[inv((it).ff,n)].pb(inv(i,n)); } //cout<<"\n\n\n"; for(ll i : states){//wyp(i);/*cout<<": ";for(ll j : pom.ff[i])wyp(j);*/cout<<"\n"; }//return 0; for(auto it : przej){ //wyp(it.ff); //cout<<": "; //for(ll i : it.ss)wyp(i); //cout<<"\n"; } sort(states.begin(),states.end(),[](const ll & a,const ll & b){ auto poma=fromint(a); auto pomb=fromint(b); return poma.ff.ss-poma.ff.ff>pomb.ff.ss-pomb.ff.ff; }); for(ll i : states){ //wyp(i); auto pomi=fromint(i); bst[i]=max(bst[i],(pomi.ff.ss-pomi.ff.ff+1)*(pomi.ss.ss-pomi.ss.ff+1)); //cout<<bst[i]<<"\n"; ans=max(ans,bst[i]); for(ll j : przej[i]){ auto pomj=fromint(j); bst[j]=max(bst[j],bst[i]+(pomj.ss.ss-pomj.ss.ff-pomi.ss.ss+pomi.ss.ff)*(pomj.ff.ss-pomj.ff.ff+1)); } } return ans; }
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