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>
using namespace std;
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define ff first
#define ss second
#define pb push_back
#define SZ(x) ((int)(x).size())
#define all(x) x.begin(), x.end()
#define debug(x) cout << #x << ": " << x << " "
#define nl cout << "\n"
#define rep(i, a, b) for(int i = (a); i <= (b); i++)
#define per(i, a, b) for(int i = (a); i >= (b); i--)
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int MAXN = 2e6+100;
int N, D, T, a[MAXN];
vector<int> g[MAXN];
void compute_time(){
stack<int> st;
rep(i, 0, N - 1){
while(!st.empty()){
int j = st.top();
if(a[j] + i - j > T) st.pop();
else break;
}
if(a[i] <= T){
g[i].pb(i);
} else{
if(!st.empty()) g[st.top()].pb(i);
}
st.push(i);
}
}
const int MAXD = 4000+100;
class SegmentTree{
public:
vector<int> st, lazy;
void build(int n){
st = lazy = vector<int>(4 * n);
}
void push(int i){
if(lazy[i]){
int cl = 2 * i + 1, cr = 2 * i + 2;
st[cl] += lazy[i], lazy[cl] += lazy[i];
st[cr] += lazy[i], lazy[cr] += lazy[i];
lazy[i] = 0;
}
}
void merge(int i){
int cl = 2 * i + 1, cr = 2 * i + 2;
st[i] = min(st[cl], st[cr]);
}
void add(int i, int l, int r, int ql, int qr, int k){
if(ql <= l && r <= qr){
st[i] += k, lazy[i] += k; return;
}
if(qr < l || ql > r) return;
push(i);
int m = (l + r) / 2;
add(2 * i + 1, l, m, ql, qr, k);
add(2 * i + 2, m + 1, r, ql, qr, k);
merge(i);
}
int query(int i, int l, int r, int ql, int qr){
if(ql <= l && r <= qr){
return st[i];
}
if(qr < l || ql > r) return INT_MAX;
push(i);
int m = (l + r) / 2;
int ans1 = query(2 * i + 1, l, m, ql, qr);
int ans2 = query(2 * i + 2, m + 1, r, ql, qr);
return min(ans1, ans2);
}
} st[MAXD];
void compute_dp(){
rep(d, 0, D){
st[d].build(N + 1);
}
per(i, N - 1, 0){
for(int j : g[i]){
rep(d, 0, D){
st[d].add(0, 0, N, j + 1, N, +1);
}
}
int val = st[0].query(0, 0, N, N, N);
st[0].add(0, 0, N, i, i, val);
rep(d, 1, D){
val = st[d - 1].query(0, 0, N, i + 1, N);
st[d].add(0, 0, N, i, i, val);
}
}
}
void solve(){
cin >> N >> D >> T;
rep(i, 0, N - 1) cin >> a[i];
compute_time();
compute_dp();
cout << st[D].query(0, 0, N, 0, 0);
}
int main(){
ios_base::sync_with_stdio(false), cin.tie(nullptr);
solve();
return 0;
}
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