oj.uz

Submission #520893

# Submission time Handle Problem Language Result Execution time Memory
520893 2022-01-31T11:56:41 Z errorgorn 3D Histogram (COCI20_histogram) C++17
110 / 110
 342 ms 92672 KB 
// Super Idol的笑容
//    都没你的甜
//  八月正午的阳光
//    都没你耀眼
//  热爱105°C的你
// 滴滴清纯的蒸馏水

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
#define int long long
#define ll long long
#define ii pair<ll,ll>
#define iii pair<ii,ll>
#define fi first
#define se second
#define endl '\n'
#define debug(x) cout << #x << ": " << x << endl

#define pub push_back
#define pob pop_back
#define puf push_front
#define pof pop_front
#define lb lower_bound
#define ub upper_bound

#define rep(x,start,end) for(auto x=(start)-((start)>(end));x!=(end)-((start)>(end));((start)<(end)?x++:x--))
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()

#define indexed_set tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>
//change less to less_equal for non distinct pbds, but erase will bug

mt19937 rng(chrono::system_clock::now().time_since_epoch().count());

struct node{
	int s,e,m;
	int val=0;
	node *l,*r;
	
	node (int _s,int _e){
		s=_s,e=_e,m=s+e>>1;
		
		if (s!=e){
			l=new node(s,m);
			r=new node(m+1,e);
		}
	}
	
	void update(int i,int k){
		if (s==e){
			val=k;
		}
		else{
			if (i<=m) l->update(i,k);
			else r->update(i,k);
			
			val=min(l->val,r->val);
		}
	}
	
	int query(int i,int j){
		if (s==i && e==j) return val;
		else{
			if (j<=m) return l->query(i,j);
			else if (m<i) return r->query(i,j);
			else return min(l->query(i,m),r->query(m+1,j));
		}
	}
} *root2=new node(0,200005);

int n;
int arr[200005];
int brr[200005];

struct range{
	int l,r,v;
};

vector<range> ar,br;

struct line{
	int m=0,c=-1e12;
	int get(int x){
		return m*x+c;
	}
};
struct lichao{
	int s,e,m;
	line val;
	lichao *l,*r;
	
	lichao (int _s,int _e){
		s=_s,e=_e,m=s+e>>1;
		
		if (s!=e){
			l=new lichao(s,m);
			r=new lichao(m+1,e);
		}
	}
	
	void update(line k){
		bool lo=val.get(s)<k.get(s);
		bool mi=val.get(m)<k.get(m);
		bool hi=val.get(e)<k.get(e);
		
		if (mi) swap(val,k);
		if (lo==hi || k.c==-1e18 || s==e) return;
		if (lo!=mi) l->update(k);
		else r->update(k);
	}
	
	void update(int i,int j,line k){
		// if (s==0 && e==200005){
			// rep(x,i,j+1) cout<<k.get(x)<<" "; cout<<endl;
		// }
		if (s==i && e==j) update(k);
		else{
			if (j<=m) l->update(i,j,k);
			else if (m<i) r->update(i,j,k);
			else l->update(i,m,k),r->update(m+1,j,k);
		}
	}
	
	int query(int i){
		if (s==e) return val.get(i);
		else if (i<=m) return max(val.get(i),l->query(i));
		else return max(val.get(i),r->query(i));
	}
} *root;

signed main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin.exceptions(ios::badbit | ios::failbit);
	
	cin>>n;
	rep(x,1,n+1) cin>>arr[x]>>brr[x];
	rep(x,1,n+1) root2->update(x,brr[x]);
	
	ll ans=0;
	rep(zzz,0,2){
		root=new lichao(0,200005);
		reverse(arr+1,arr+n+1);
		reverse(brr+1,brr+n+1);
		ar.clear(),br.clear();
		
		
		vector<int> idx={0};
		rep(x,1,n+2){
			while (arr[idx.back()]>arr[x]){
				int temp=arr[idx.back()];
				idx.pob();
				ar.pub(range({idx.back()+1,x-1,temp}));
				if (zzz) ans=max(ans,temp*(x-idx.back()-1)*root2->query(idx.back()+1,x-1));
			}
			idx.pub(x);
		}
		
		idx={0};
		rep(x,1,n+2){
			while (brr[idx.back()]>brr[x]){
				int temp=brr[idx.back()];
				idx.pob();
				br.pub(range({idx.back()+1,x-1,temp}));
			}
			idx.pub(x);
		}
		
		sort(all(ar),[](range i,range j){
			return i.r<j.r;
		});
		sort(all(br),[](range i,range j){
			return i.r<j.r;
		});
		
		int pos=0;
		
		for (auto [l,r,v]:ar){
			while (pos!=sz(br) && br[pos].r<=r){
				int l=br[pos].l,r=br[pos].r,v=br[pos].v;
				//cout<<"adding: "<<l<<" "<<r<<" "<<v<<endl;
				root->update(l,r,line({-v,(r+1)*v}));
				root->update(0,l-1,line({0,(r-l+1)*v}));
				pos++;
			}
			ans=max(ans,v*root->query(l));
		}
	}
	
	cout<<ans<<endl;
}

Compilation message

histogram.cpp: In constructor 'node::node(long long int, long long int)':
histogram.cpp:46:16: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   46 |   s=_s,e=_e,m=s+e>>1;
      |               ~^~
histogram.cpp: In constructor 'lichao::lichao(long long int, long long int)':
histogram.cpp:98:16: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   98 |   s=_s,e=_e,m=s+e>>1;
      |               ~^~

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 75544 KB Output is correct
2 Correct 52 ms 75596 KB Output is correct
3 Correct 70 ms 75628 KB Output is correct
4 Correct 58 ms 75508 KB Output is correct
5 Correct 53 ms 75536 KB Output is correct
6 Correct 55 ms 75516 KB Output is correct
7 Correct 52 ms 75524 KB Output is correct
8 Correct 53 ms 75528 KB Output is correct
9 Correct 53 ms 75592 KB Output is correct
10 Correct 58 ms 75592 KB Output is correct
11 Correct 54 ms 75420 KB Output is correct
12 Correct 57 ms 75540 KB Output is correct

Subtask #2
90.0 / 90.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 75544 KB Output is correct
2 Correct 52 ms 75596 KB Output is correct
3 Correct 70 ms 75628 KB Output is correct
4 Correct 58 ms 75508 KB Output is correct
5 Correct 53 ms 75536 KB Output is correct
6 Correct 55 ms 75516 KB Output is correct
7 Correct 52 ms 75524 KB Output is correct
8 Correct 53 ms 75528 KB Output is correct
9 Correct 53 ms 75592 KB Output is correct
10 Correct 58 ms 75592 KB Output is correct
11 Correct 54 ms 75420 KB Output is correct
12 Correct 57 ms 75540 KB Output is correct
13 Correct 342 ms 90564 KB Output is correct
14 Correct 319 ms 91536 KB Output is correct
15 Correct 307 ms 89372 KB Output is correct
16 Correct 273 ms 89644 KB Output is correct
17 Correct 317 ms 90972 KB Output is correct
18 Correct 308 ms 91020 KB Output is correct
19 Correct 310 ms 91128 KB Output is correct
20 Correct 314 ms 90956 KB Output is correct
21 Correct 282 ms 89680 KB Output is correct
22 Correct 325 ms 91080 KB Output is correct
23 Correct 79 ms 76992 KB Output is correct
24 Correct 338 ms 92672 KB Output is correct