#include<bits/stdc++.h>
using namespace std;
#define int long long
const int inf=9e18;
signed main()
{
int n,m;
cin>>n>>m;
vector <int> a(n+1);
for(int i=1;i<=n;i++)cin>>a[i];
vector <int> b;
for(int i=1;i<=n;i++)
{
if(a[i]-i*m<=0)b.push_back(i*m-a[i]);
}
//reverse(b.begin(),b.end());
vector <int> d(b.size()+1,inf);
d[0]=-inf;
for(int i=0;i<b.size();i++)
{
int ind=upper_bound(d.begin(),d.end(),b[i]) - d.begin();
d[ind]=b[i];
}
int cnt=0;
for(int i=1;i<d.size();i++)
{
if(d[i]-inf)cnt++;
}
cout<<n-cnt;
}
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