#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int N=2e5+3;
int a[N],ind[N];
int n,m;
int dp[N],offset=0;
// we need to add off set to everything
void update(int i,int v)
{
while(i<N)
{
dp[i]=min(dp[i],v-offset);
i+=(i&-i);
}
}
int query(int x)
{
// min <=x
int ans=n;
while(x>0)
{
ans=min(ans,dp[x]);
x-=(x&-x);
}
return ans+offset;
}
void solve()
{
// statement read incorrectly
cin>>n>>m;
a[0]=0;
for(int i=1;i<=n;i++)
{
cin>>a[i];
}
set<ll> up;
for(int i=0;i<=n;i++)
{
up.insert(i*m-a[i]);
}
vector<ll> cur(begin(up),end(up));
for(int i=0;i<=n;i++)
{
ind[i]=lower_bound(begin(cur),end(cur),i*m-a[i])-begin(cur)+1;
}
for(int j=0;j<=(n+1);j++)
{
dp[j]=n;
}
update(ind[0],0);
for(int i=0;i<n;i++)
{
int mn=query(ind[i+1]);
// j*m - a[j] <= (i+1)*m - a[i+1]
// Fenwick
// if((a[i+1]-v)<=m)
// {
// dp[i][j]
// [i+1] never exist in dp[i]
// dp[i+1][i+1]=min(dp[i+1][i+1],);
// }
// easy
// for(int j=0;j<=i;j++)
// {
// // int v=a[j] + i*m - j*m;
// dp[i+1][j]=min(dp[i+1][j],1+dp[i][j]);
// }
offset++;
// n*m
// m-1e9
update(ind[i+1],mn);
}
// int mi=dp[n][0];
// for(int j=1;j<=n;j++)mi=min(mi,dp[n][j]);
cout<<query(n+1)<<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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