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Submission #1094056

# Submission time Handle Problem Language Result Execution time Memory
1094056 2024-09-28T11:14:29 Z alexander707070 Global Warming (CEOI18_glo) C++14
10 / 100
 2000 ms 180056 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());

		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
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 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 6492 KB Output is correct
5 Correct 1 ms 6488 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 6564 KB Output is correct
9 Incorrect 1 ms 6492 KB Output isn't correct
10 Halted 0 ms 0 KB -

Subtask #2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 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 6492 KB Output is correct
5 Correct 1 ms 6488 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 6564 KB Output is correct
9 Incorrect 1 ms 6492 KB Output isn't correct
10 Halted 0 ms 0 KB -

Subtask #3
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 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 6492 KB Output is correct
5 Correct 1 ms 6488 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 6564 KB Output is correct
9 Incorrect 1 ms 6492 KB Output isn't correct
10 Halted 0 ms 0 KB -

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 452 ms 179992 KB Output is correct
2 Correct 432 ms 180052 KB Output is correct
3 Correct 429 ms 180056 KB Output is correct
4 Correct 457 ms 180052 KB Output is correct
5 Correct 261 ms 99668 KB Output is correct

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 818 ms 56144 KB Output is correct
2 Correct 836 ms 56140 KB Output is correct
3 Correct 907 ms 56128 KB Output is correct
4 Correct 596 ms 32596 KB Output is correct
5 Incorrect 1 ms 6488 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2049 ms 99820 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #7
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 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 6492 KB Output is correct
5 Correct 1 ms 6488 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 6564 KB Output is correct
9 Incorrect 1 ms 6492 KB Output isn't correct
10 Halted 0 ms 0 KB -