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Submission #1094055

# Submission time Handle Problem Language Result Execution time Memory
1094055 2024-09-28T11:14:09 Z alexander707070 Global Warming (CEOI18_glo) C++14
45 / 100
 2000 ms 181396 KB 
#include<bits/stdc++.h>
#define MAXN 200007
using namespace std;

const int inf=1e9;

struct ST{
	struct node{
		int l,r,val;
	};

	node tree[30*MAXN];
	int num;
	
	void init(){
		num=1;
		tree[num]={0,0,0};
	}

	void addnode(){
		num++;
		tree[num]={0,0,0};
	}

	void check(int v){
		if(tree[v].l==0){
			addnode(); tree[v].l=num;
		}

		if(tree[v].r==0){
			addnode(); tree[v].r=num;
		}
	}

	void update(int v,long long l,long long r,int pos,int val){
		if(l==r){
			tree[v].val=max(tree[v].val,val);
		}else{
			long long tt=(l+r)/2;
			check(v);

			if(pos<=tt)update(tree[v].l,l,tt,pos,val);
			else update(tree[v].r,tt+1,r,pos,val);

			tree[v].val=max(tree[tree[v].l].val,tree[tree[v].r].val);
		}
	}

	int getmax(int v,long long l,long long r,long long ll,long long rr){
		if(ll>rr or v==0)return 0;
		if(l==ll and r==rr){
			return tree[v].val;
		}else{
			long long tt=(l+r)/2;
			return max( getmax(tree[v].l,l,tt,ll,min(tt,rr)) , getmax(tree[v].r,tt+1,r,max(tt+1,ll),rr) );
		}
	}
}seg[3];

int n,a[MAXN],ans,x;
int dp[MAXN][3];

int solve(int d){
	seg[0].init();
	seg[1].init();
	seg[2].init();

	int res=0;

	for(int i=1;i<=n;i++){
		dp[i][0]=seg[0].getmax(1,0,2*inf,0,a[i]-1)+1;
		dp[i][1]=max(seg[1].getmax(1,0,2*inf,0,a[i]-1)+1 , seg[0].getmax(1,0,2*inf,0,a[i]+d-1)+1);
		dp[i][2]=max(seg[2].getmax(1,0,2*inf,0,a[i]-1)+1 , seg[1].getmax(1,0,2*inf,0,a[i]-d-1)+1);

		seg[0].update(1,0,2*inf,a[i],dp[i][0]);
		seg[1].update(1,0,2*inf,a[i],dp[i][1]);
		seg[2].update(1,0,2*inf,a[i],dp[i][2]);

		res=max(res,max(dp[i][0],max(dp[i][1],dp[i][2])));
	}

	return res;
}

int main(){

	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);

	cin>>n>>x;
	for(int i=1;i<=n;i++){
		cin>>a[i];
	}

	if(n<=1000){
		vector<int> w={0};
		for(int i=1;i<=n;i++){
			for(int f=i+1;f<=n;f++){
				if(a[i]-a[f]+1>=-x and a[i]-a[f]+1<=x){
					w.push_back(a[i]-a[f]+1);
				}

				if(a[i]-a[f]-1>=-x and a[i]-a[f]-1<=x){
					w.push_back(a[i]-a[f]-1);
				}
			}
		}

		sort(w.begin(),w.end());

		for(int i:w){
			ans=max(ans,solve(i));
		}

		cout<<ans<<"\n";
		return 0;

		long long l=0,r=w.size()-1,lt,rt;
		while(l+20<r){
			lt=l+(r-l+1)/3;
			rt=r-(r-l+1)/3;

			int ls=solve(w[lt]);
			int rs=solve(w[rt]);

			if(ls>rs)l=lt;
			else if(rs>ls)r=rt;
			else{
				break;
			}
		}

		for(int d=l;d<=r;d++){
			ans=max(ans,solve(w[d]));
		}

		cout<<ans<<"\n";
		return 0;
	}

	long long l=-x,r=x,lt,rt;
	while(l+20<r){
		lt=l+(r-l+1)/3;
		rt=r-(r-l+1)/3;

		int ls=solve(lt);
		int rs=solve(rt);

		if(ls>rs)l=lt;
		else if(rs>ls)r=rt;
		else{
			break;
		}
	}

	for(int d=l;d<=r;d++){
		ans=max(ans,solve(d));
	}

	cout<<ans<<"\n";

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6488 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 2 ms 6488 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6488 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 2 ms 6488 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 132 ms 6632 KB Output is correct
13 Correct 11 ms 6488 KB Output is correct
14 Correct 95 ms 6616 KB Output is correct
15 Correct 52 ms 6492 KB Output is correct
16 Correct 66 ms 6492 KB Output is correct
17 Correct 2 ms 6488 KB Output is correct
18 Correct 3 ms 6612 KB Output is correct

Subtask #3
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6488 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 2 ms 6488 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 132 ms 6632 KB Output is correct
13 Correct 11 ms 6488 KB Output is correct
14 Correct 95 ms 6616 KB Output is correct
15 Correct 52 ms 6492 KB Output is correct
16 Correct 66 ms 6492 KB Output is correct
17 Correct 2 ms 6488 KB Output is correct
18 Correct 3 ms 6612 KB Output is correct
19 Execution timed out 2092 ms 8928 KB Time limit exceeded
20 Halted 0 ms 0 KB -

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 444 ms 181384 KB Output is correct
2 Correct 449 ms 181328 KB Output is correct
3 Correct 458 ms 181396 KB Output is correct
4 Correct 451 ms 181332 KB Output is correct
5 Correct 260 ms 100504 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 856 ms 56408 KB Output is correct
2 Correct 874 ms 56404 KB Output is correct
3 Correct 887 ms 56404 KB Output is correct
4 Correct 624 ms 32760 KB Output is correct
5 Correct 2 ms 6488 KB Output is correct
6 Correct 620 ms 13136 KB Output is correct
7 Correct 723 ms 40760 KB Output is correct

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2045 ms 100436 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #7
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6488 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 2 ms 6488 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 132 ms 6632 KB Output is correct
13 Correct 11 ms 6488 KB Output is correct
14 Correct 95 ms 6616 KB Output is correct
15 Correct 52 ms 6492 KB Output is correct
16 Correct 66 ms 6492 KB Output is correct
17 Correct 2 ms 6488 KB Output is correct
18 Correct 3 ms 6612 KB Output is correct
19 Execution timed out 2092 ms 8928 KB Time limit exceeded
20 Halted 0 ms 0 KB -