#include <bits/stdc++.h>
using namespace std;
const int N=5e3+2;
int a[N];
int n,m;
int dp[N][N];
void solve()
{
// statement read incorrectly
cin>>n>>m;
a[0]=0;
for(int i=1;i<=n;i++)
cin>>a[i];
for(int i=0;i<=n;i++)
{
for(int j=0;j<=i;j++)
{
dp[i][j]=n;
}
}
dp[0][0]=0;
for(int i=0;i<n;i++)
{
for(int j=0;j<=i;j++)
{
int v=a[j]+(i-j)*m;
if((a[i+1]-v)<=m)
{
dp[i+1][i+1]=min(dp[i+1][i+1],dp[i][j]);
}
dp[i+1][j]=min(dp[i+1][j],1+dp[i][j]);
}
}
int mi=dp[n][0];
for(int j=1;j<=n;j++)mi=min(mi,dp[n][j]);
cout<<mi<<endl;
}
int main()
{
srand(time(0));
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t=1;
// cin>>t;
while(t--)solve();
return 0;
}
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