// 01001100 01001111 01010100 01000001 \\
// \\
// ╦ ╔═╗╔╦╗╔═╗ \\
// ║ ║ ║ ║ ╠═╣ \\
// ╩═╝╚═╝ ╩ ╩ ╩ \\
// \\
// 01001100 01001111 01010100 01000001 \\
#include <bits/stdc++.h>
using namespace std;
#define N 200001
#define nl '\n'
#define ff first
#define ss second
#define add insert
#define ll long long
#define ld long double
#define terminator main
#define pll pair<ll,ll>
#define append push_back
#define pii pair<int,int>
#define all(x) (x).begin(),(x).end()
#define L0TA ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL)
ll a[N];
int n, dp[N], idx[N], seg[N << 2];
void built(int v = 1, int s = 0, int e = n){
if(e - s == 1){
seg[v] = dp[s];
return;
}
int mid, rc, lc;
mid = (s + e) / 2;
rc = 2 * v + 1;
lc = 2 * v;
built(lc, s, mid);
built(rc, mid, e);
seg[v] = max(seg[lc], seg[rc]);
}
void update(int p, int v = 1, int s = 0, int e = n){
if(e - s == 1){
seg[v] = dp[s];
return;
}
int mid, rc, lc;
mid = (s + e) / 2;
rc = 2 * v + 1;
lc = 2 * v;
if(p < mid) update(p, lc, s, mid);
else update(p, rc, mid, e);
seg[v] = max(seg[lc], seg[rc]);
}
int get(int l, int r, int v = 1, int s = 0, int e = n){
if(r <= s || e <= l || l >= r) return -N;
if(l <= s && e <= r) return seg[v];
int mid, rc, lc;
mid = (s + e) / 2;
rc = 2 * v + 1;
lc = 2 * v;
return max(get(l, r, lc, s, mid), get(l, r, rc, mid, e));
}
void solve(){
int ans, p;
ll m;
cin >> n >> m;
ans = n;
n++;
for(int i = 1; i < n; i++)
cin >> a[i];
vector<pll> v;
vector<ll> u;
for(ll i = 0; i < n; i++){
u.append(a[i] - i * m);
v.append({u[i], i});
dp[i] = -N;
}
sort(all(u));
sort(all(v));
for(int i = 0; i < n; i++){
idx[v[i].ss] = i;
//cout << v[i].ss << ' ' << v[i].ff << nl;
}
dp[idx[0]] = 0;
built();
for(ll i = 1; i < n; i++){
p = lower_bound(all(u), a[i] - i * m) - u.begin();
dp[idx[i]] = get(p, n) + 1;
//cout << get(p, n) << nl;
ans = min(ans, n - dp[idx[i]] - 1);
update(idx[i]);
}
cout << ans;
}
int terminator(){
L0TA;
solve();
return 0;
}
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