This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define ll long long
#define pb push_back
#define ff first
#define ss second
using namespace std ;
const int N=1e5;
int main ()
{
// find lis of all valid buildings and subtract it from the total buildings ,
// the left over buildings would be the buildings which would be changed
// or we can say we have to minimse the buildings which needs to be changed ,
// so why not maximise the buildings that do not need to be changed and subtract them
// from the total buildings
ll n , m ;
cin >> n >> m ;
ll arr[n+1];
bool is[n+1];
memset(is,true,sizeof(is));
for (int i=1;i<=n;i++)
{
cin >> arr[i];
if(arr[i]>i*m)
is[i]=false;
}
arr[0]=0;
vector<pair<ll,ll>>lis;
for (ll i=1;i<=n;i++)
{
if(is[i])
{
if(lis.size()==0)
lis.pb({arr[i],i});
else
{
pair<ll,ll>temp=lis.back();
if(arr[i]-temp.ff<=(i-temp.ss)*m)
{
lis.pb({arr[i],i});
}
else
{
int l=0;
int r=lis.size()-1;
int ans=0;
while(l<=r)
{
int mid=(l+r)/2;
pair<int,int>temp=lis[mid];
if(arr[i]-temp.ff<=(i-temp.ss)*m)
{
ans=mid;
l=mid+1;
}
else
r=mid-1;
}
lis[ans+1]=make_pair(arr[i],i);
}
}
}
}
cout<<n-lis.size()<<"\n";
}
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