Codeforces 474 E. Pillars

水太......

E. Pillars

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Marmot found a row with n pillars. The i-th pillar has the height of hi meters. Starting from one pillar i1, Marmot wants to jump on the pillarsi2, ..., ik. (1 ≤ i1 < i2 < ... < ik ≤ n). From a pillar i Marmot can jump on a pillar j only if i < j and |hi - hj| ≥ d, where |x| is the absolute value of the number x.

Now Marmot is asking you find out a jump sequence with maximal length and print it.

Input

The first line contains two integers n and d (1 ≤ n ≤ 105, 0 ≤ d ≤ 109).

The second line contains n numbers h1, h2, ..., hn (1 ≤ hi ≤ 1015).

Output

The first line should contain one integer k, the maximal length of a jump sequence.

The second line should contain k integers i1, i2, ..., ik (1 ≤ i1 < i2 < ... < ik ≤ n), representing the pillars' indices from the maximal length jump sequence.

If there is more than one maximal length jump sequence, print any.

Sample test(s)

input

5 2
1 3 6 7 4

output

4
1 2 3 5 

input

10 3
2 1 3 6 9 11 7 3 20 18

output

6
1 4 6 7 8 9 

Note

In the first example Marmot chooses the pillars 1, 2, 3, 5 with the heights 1, 3, 6, 4. Another jump sequence of length 4 is 1, 2, 4, 5.

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <vector>

using namespace std;

typedef long long int LL;

const int maxn=100100;

int n,K;
LL h[maxn],sum[maxn],tr[maxn];
vector<LL> road;

int main()
{
	cin>>n>>K;
	sum[1]=1; int maxl=1;
	for(int i=1;i<=n;i++)
	{
		cin>>h[i];
		sum[i]=1;
		for(int j=max(1,i-500);j<i;j++)
		{
			if(abs(h[j]-h[i])>=K&&sum[j]+1>sum[i])
			{
				sum[i]=sum[j]+1;
				tr[i]=j;
			}
			if(sum[i]>sum[maxl])
			{
				maxl=i;
			}
		}
	}
	cout<<sum[maxl]<<endl;
	int T=tr[maxl];
	road.push_back(maxl);
	while(T)
	{
		road.push_back(T);
		T=tr[T];
	}
	while(road.size())
	{
		cout<<road.back()<<" ";
		road.pop_back();
	}
	return 0;
}

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