oj.uz

Submission #835078

# Submission time Handle Problem Language Result Execution time Memory
835078 2023-08-23T07:46:16 Z ttamx Radio Towers (IOI22_towers) C++17
17 / 100
 1006 ms 112032 KB 
#include "towers.h"
#include<bits/stdc++.h>

using namespace std;

typedef pair<int,int> p2;

const int N=1e5+5;
const int K=1<<18;
const int LG=17;
const int inf=2e9;

int n;
int h[N],spmx[LG][N],spmn[LG][N];
vector<pair<int,int>> vec;

struct persist{
	struct info{
		int mn,mx,val;
		info():mn(inf),mx(-inf),val(0){}
		info(int x):mn(x),mx(x),val(1){}
		friend info operator+(info a,info b){
			info c;
			c.mn=min(a.mn,b.mn);
			c.mx=max(a.mx,b.mx);
			c.val=a.val+b.val;
			return c;
		}
	};
	struct node;
	typedef node* pnode;
	struct node{
		info val;
		pnode l,r;
		node():val(),l(nullptr),r(nullptr){}
	};
	pnode rt[N];
	void build(int l,int r,pnode &t){
		t=new node();
		if(l==r)return;
		int m=(l+r)/2;
		build(l,m,t->l);
		build(m+1,r,t->r);
	}
	void build(int t){
		build(1,n,rt[t]);
	}
	void update(int l,int r,pnode &t,pnode k,int x){
		t=new node(*k);
		t->val=t->val+info(x);
		if(l==r)return;
		int m=(l+r)/2;
		if(x<=m)update(l,m,t->l,k->l,x);
		else update(m+1,r,t->r,k->r,x);
	}
	void update(int k,int t,int x){
		update(1,n,rt[t],rt[k],x);
	}
	info query(int l,int r,pnode t,int x,int y){
		if(y<l||r<x)return info();
		if(x<=l&&r<=y)return t->val;
		int m=(l+r)/2;
		return query(l,m,t->l,x,y)+query(m+1,r,t->r,x,y);
	}
	info query(int t,int x,int y){
		return query(1,n,rt[t],x,y);
	}
}pst;

struct segtree{
	struct node{
		int mn,mx,vl,vr;
		node(int x=0):mn(x),mx(x),vl(0),vr(0){}
		friend node operator+(node a,node b){
			node c;
			c.mn=min(a.mn,b.mn);
			c.mx=max(a.mx,b.mx);
			c.vl=max({a.vl,b.vl,b.mx-a.mn});
			c.vr=max({a.vr,b.vr,a.mx-b.mn});
			return c;
		}
	}t[K];
	void build(int l,int r,int i){
		if(l==r)return void(t[i]=node(h[l]));
		int m=(l+r)/2;
		build(l,m,i*2);
		build(m+1,r,i*2+1);
		t[i]=t[i*2]+t[i*2+1];
	}
	void build(){
		build(1,n,1);
	}
	node query(int l,int r,int i,int x,int y){
		if(x<=l&&r<=y)return t[i];
		int m=(l+r)/2;
		if(y<=m)return query(l,m,i*2,x,y);
		if(m<x)return query(m+1,r,i*2+1,x,y);
		return query(l,m,i*2,x,y)+query(m+1,r,i*2+1,x,y);
	}
	node query(int x,int y){
		return query(1,n,1,x,y);
	}
}s;

int rmxq(int l,int r){
	int k=31-__builtin_clz(r-l+1);
	return max(spmx[k][l],spmx[k][r-(1<<k)+1]);
}

int rmnq(int l,int r){
	int k=31-__builtin_clz(r-l+1);
	return min(spmn[k][l],spmn[k][r-(1<<k)+1]);
}

void init(int N,vector<int> H){
	n=N;
	for(int i=1;i<=n;i++)h[i]=H[i-1];
	h[0]=h[n+1]=inf;
	for(int i=0;i<=n+1;i++)spmx[0][i]=spmn[0][i]=h[i];
	for(int i=1;i<LG;i++){
		for(int j=0;j+(1<<i)-1<=n+1;j++){
			spmx[i][j]=max(spmx[i-1][j],spmx[i-1][j+(1<<(i-1))]);
			spmn[i][j]=min(spmn[i-1][j],spmn[i-1][j+(1<<(i-1))]);
		}
	}
	auto lb=[&](int id){
		int l=0,r=id-1;
		while(l<r){
			int m=(l+r+1)/2;
			if(rmnq(m,id)<h[id])l=m;
			else r=m-1;
		}
		return l;
	};
	auto ub=[&](int id){
		int l=id+1,r=n+1;
		while(l<r){
			int m=(l+r)/2;
			if(rmnq(id,m)<h[id])r=m;
			else l=m+1;
		}
		return l;
	};
	for(int i=1;i<=n;i++){
		int l=lb(i),r=ub(i);
		int d=min(rmxq(l,i),rmxq(i,r))-h[i];
		vec.emplace_back(d,i);
	}
	vec.emplace_back(-inf,-1);
	sort(vec.begin(),vec.end());
	pst.build(n+1);
	for(int i=n;i>=1;i--){
		pst.update(i+1,i,vec[i].second);
	}
	s.build();
}

int max_towers(int L,int R,int D){
	L++,R++;
	auto lb=[&](int id){
		int l=L-1,r=id-1;
		while(l<r){
			int m=(l+r+1)/2;
			if(rmxq(m,id)>=h[id]+D)l=m;
			else r=m-1;
		}
		return l;
	};
	auto ub=[&](int id){
		int l=id+1,r=R+1;
		while(l<r){
			int m=(l+r)/2;
			if(rmxq(id,m)>=h[id]+D)r=m;
			else l=m+1;
		}
		return l;
	};
	int ver=lower_bound(vec.begin(),vec.end(),p2(D,0))-vec.begin();
	auto res=pst.query(ver,L,R);
	if(res.val==0)return 1;
	int l=lb(res.mn),r=ub(res.mx),ans=res.val;
	if(L<l&&s.query(L,l).vl>=D)ans++;
	if(r<R&&s.query(r,R).vr>=D)ans++;
	return ans;
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 474 ms 65968 KB 12th lines differ - on the 1st token, expected: '2', found: '1'
2 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4688 KB Output is correct
2 Correct 4 ms 5968 KB Output is correct
3 Correct 4 ms 5968 KB Output is correct
4 Correct 3 ms 5968 KB Output is correct
5 Correct 4 ms 5968 KB Output is correct
6 Correct 4 ms 5968 KB Output is correct
7 Correct 4 ms 5968 KB Output is correct
8 Correct 4 ms 5968 KB Output is correct
9 Correct 4 ms 5968 KB Output is correct
10 Correct 4 ms 5968 KB Output is correct
11 Correct 3 ms 5968 KB Output is correct
12 Incorrect 2 ms 4432 KB 1st lines differ - on the 1st token, expected: '2', found: '1'
13 Halted 0 ms 0 KB -

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4688 KB Output is correct
2 Correct 4 ms 5968 KB Output is correct
3 Correct 4 ms 5968 KB Output is correct
4 Correct 3 ms 5968 KB Output is correct
5 Correct 4 ms 5968 KB Output is correct
6 Correct 4 ms 5968 KB Output is correct
7 Correct 4 ms 5968 KB Output is correct
8 Correct 4 ms 5968 KB Output is correct
9 Correct 4 ms 5968 KB Output is correct
10 Correct 4 ms 5968 KB Output is correct
11 Correct 3 ms 5968 KB Output is correct
12 Incorrect 2 ms 4432 KB 1st lines differ - on the 1st token, expected: '2', found: '1'
13 Halted 0 ms 0 KB -

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 535 ms 111196 KB Output is correct
2 Correct 919 ms 111856 KB Output is correct
3 Correct 913 ms 111932 KB Output is correct
4 Correct 881 ms 111932 KB Output is correct
5 Correct 951 ms 111868 KB Output is correct
6 Correct 818 ms 111856 KB Output is correct
7 Correct 875 ms 111872 KB Output is correct
8 Correct 942 ms 111860 KB Output is correct
9 Correct 852 ms 111944 KB Output is correct
10 Correct 890 ms 111932 KB Output is correct
11 Correct 875 ms 111840 KB Output is correct
12 Incorrect 892 ms 111936 KB 170th lines differ - on the 1st token, expected: '2', found: '1'
13 Halted 0 ms 0 KB -

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 220 ms 27516 KB Output is correct
2 Correct 758 ms 111876 KB Output is correct
3 Correct 836 ms 112032 KB Output is correct
4 Correct 732 ms 111920 KB Output is correct
5 Correct 1006 ms 111932 KB Output is correct
6 Correct 879 ms 111840 KB Output is correct
7 Correct 732 ms 111844 KB Output is correct
8 Correct 692 ms 111892 KB Output is correct
9 Correct 874 ms 111884 KB Output is correct
10 Correct 777 ms 111872 KB Output is correct
11 Correct 600 ms 111912 KB Output is correct
12 Correct 141 ms 111908 KB Output is correct
13 Correct 133 ms 111932 KB Output is correct
14 Correct 153 ms 111856 KB Output is correct
15 Correct 109 ms 112024 KB Output is correct
16 Correct 115 ms 111876 KB Output is correct
17 Correct 128 ms 108144 KB Output is correct
18 Correct 123 ms 111884 KB Output is correct
19 Correct 124 ms 111864 KB Output is correct
20 Correct 139 ms 111948 KB Output is correct
21 Correct 143 ms 111912 KB Output is correct
22 Correct 142 ms 111880 KB Output is correct
23 Correct 147 ms 111912 KB Output is correct
24 Correct 101 ms 111888 KB Output is correct
25 Correct 116 ms 111916 KB Output is correct
26 Correct 151 ms 111912 KB Output is correct
27 Correct 141 ms 111920 KB Output is correct
28 Correct 4 ms 5968 KB Output is correct
29 Correct 3 ms 5968 KB Output is correct
30 Correct 4 ms 5968 KB Output is correct
31 Correct 4 ms 5968 KB Output is correct
32 Correct 3 ms 5968 KB Output is correct
33 Correct 3 ms 5072 KB Output is correct
34 Correct 3 ms 5968 KB Output is correct
35 Correct 4 ms 5968 KB Output is correct
36 Correct 4 ms 5968 KB Output is correct
37 Correct 4 ms 5968 KB Output is correct
38 Correct 4 ms 5968 KB Output is correct
39 Correct 3 ms 5968 KB Output is correct
40 Correct 3 ms 5980 KB Output is correct
41 Correct 4 ms 5968 KB Output is correct
42 Correct 5 ms 6016 KB Output is correct
43 Correct 5 ms 6048 KB Output is correct

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4688 KB Output is correct
2 Correct 4 ms 5968 KB Output is correct
3 Correct 4 ms 5968 KB Output is correct
4 Correct 3 ms 5968 KB Output is correct
5 Correct 4 ms 5968 KB Output is correct
6 Correct 4 ms 5968 KB Output is correct
7 Correct 4 ms 5968 KB Output is correct
8 Correct 4 ms 5968 KB Output is correct
9 Correct 4 ms 5968 KB Output is correct
10 Correct 4 ms 5968 KB Output is correct
11 Correct 3 ms 5968 KB Output is correct
12 Incorrect 2 ms 4432 KB 1st lines differ - on the 1st token, expected: '2', found: '1'
13 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 474 ms 65968 KB 12th lines differ - on the 1st token, expected: '2', found: '1'
2 Halted 0 ms 0 KB -