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 forr(i, a, b) for (int i = a; i <= b; i++)
#define ford(i, a, b) for (int i = a; i >= b; i--)
#define fi first
#define se second
#define pb push_back
#define all(v) v.begin(), v.end()
#define ll long long
#define ld long double
#define pii pair<int, int>
#define pll pair<ll, ll>
#define vi vector<int>
#define vii vector<pii>
#define file "test"
using namespace std;
const int base = 31;
const ll mod = 1e9 + 7;
const ll oo = 1e18;
const int N = 2e5 + 5;
const int V = 2e5;
int dp[N], st[4*N];
ll h[N], t[N];
vector<ll> nen;
void update(int id, int l, int r, int i, int v){
if (i < l || r < i) return;
if (l == r){
st[id] = max(st[id], v);
return;
}
int mid = (l + r) >> 1;
update(2 * id, l, mid, i, v), update(2 * id + 1, mid + 1, r, i, v);
st[id] = max(st[2 * id], st[2 * id + 1]);
}
int get(int id, int l, int r, int u, int v){
if (v < l || r < u) return 0;
if (u <= l && r <= v) return st[id];
int mid = (l + r) >> 1;
return max(get(2 * id, l, mid, u, v), get(2 * id + 1, mid + 1, r, u, v));
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, M;
cin >> n >> M;
n += 1;
h[1] = 0;
nen.pb(h[1] - M);
forr(i, 2, n){
cin >> h[i];
t[i] = h[i] - M*i;
nen.pb(t[i]);
}
sort(all(nen));
nen.resize(unique(all(nen)) - nen.begin());
forr(i,0,n) t[i] = lower_bound(all(nen), t[i]) - nen.begin() - 1;
dp[1] = 1;
update(1, 1, V, t[1], dp[1]);
forr(i, 2, n){
int f = get(1, 1, V, t[i], V);
if (f) {
dp[i] = f + 1;
update(1, 1, V, t[i], dp[i]);
}
}
int res = 0;
forr(i, 1, n) res = max(res, dp[i]);
cout << (n-1) - res;
return 0;
}
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