#include<bits/stdc++.h>
using namespace std;
#define int long long
const int INF = 1e9;
int n,m;
int a[200005],dp[200005];
signed main()
{
ios_base::sync_with_stdio(0);cin.tie(0);
cin>>n>>m;
for(int i=1;i<=n;i++)
cin>>a[i];
n++;
a[n]=0;
for(int i=1;i<=n;i++)
{
dp[i] = INF;
for(int j=i-1;j>=0;j--)
{
if(a[j]+j*m >= a[i]-i*m)
{
dp[i] = min(dp[i], dp[j]-j);
}
}
dp[i]+=i-1;
}
cout<<dp[n];
return 0;
}
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