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 fr(i, a, b) for (int i = (a); i <= (b); ++i)
#define rf(i, a, b) for (int i = (a); i >= (b); --i)
#define fe(x, y) for (auto& x : y)
#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define mt make_tuple
#define all(x) (x).begin(), (x).end()
#define pw(x) (1LL << (x))
#define sz(x) (int)(x).size()
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template <typename T>
using oset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define fbo find_by_order
#define ook order_of_key
template <typename T>
bool umn(T& a, T b) { return (a > b ? (a = b, 1) : 0); }
template <typename T>
bool umx(T& a, T b) { return (a < b ? (a = b, 1) : 0); }
using ll = long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
template <typename T>
using ve = vector<T>;
const int N = 5e5 + 5;
const int M = 5005;
int n, d, T;
int cost[M][M];
int opt[M][M];
int dp[M][M];
int a[N];
int p[N];
ve<int> del[N];
set<int> s;
int main() {
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#else
ios::sync_with_stdio(0);
cin.tie(0);
#endif
//
// cout << 30 * 4000 * 4000 / 1e8 << "\n";
//
// return 0;
cin >> n >> d >> T;
fr (i, 1, n) {
cin >> a[i];
}
{
fr (i, 1, n) {
fe (cur, del[i]) s.erase(cur);
if (a[i] <= T) {
s.insert(i);
if (i + T - a[i] + 1 <= n) {
del[i + T - a[i] + 1].pb(i);
}
}
p[i] = sz(s) ? *s.rbegin() : -1;
}
}
if (d == 1) {
multiset<int> s;
fr (i, 1, n) {
s.insert(p[i]);
}
int ans = 0;
int best = 1e9;
fr (i, 1, n) {
while (sz(s) && *s.begin() < i) {
s.erase(s.begin());
}
umn(best, ans + sz(s));
if (p[i] >= 1) {
ans++;
}
if (s.find(p[i]) != s.end()) {
s.erase(s.find(p[i]));
}
}
cout << best << "\n";
return 0;
}
// fr (i, 1, n) cout << p[i] << " ";
// cout << "\n";
if (n <= 4000) {
fr (i, 1, n) {
int ans = 0;
fr (j, i, n) {
if (p[j] >= i) {
ans++;
}
cost[i][j] = ans;
}
}
fr (i, 1, n) {
fr (j, 1, d + 1) {
dp[i][j] = 1e9;
}
}
fr (i, 1, n) {
dp[i][1] = cost[1][i];
opt[i][1] = 0;
}
fr (j, 2, d + 1) {
opt[n + 1][j] = n - 1;
rf (i, n, 1) {
fr (p, opt[i][j - 1], opt[i + 1][j]) {
if (umn(dp[i][j], dp[p][j - 1] + cost[p + 1][i])) {
opt[i][j] = p;
}
}
}
}
// fr (i, 1, n) {
// fr (was, 1, min(i, d)) {
// fr (j, i + 1, n) {
// umn(dp[j][was + 1], dp[i][was] + cost[i + 1][j]);
// }
// }
// }
//
cout << dp[n][d + 1] << "\n";
return 0;
}
return 0;
}
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