Submission #1208863

#TimeUsernameProblemLanguageResultExecution timeMemory
1208863aykhnThe short shank; Redemption (BOI21_prison)C++20
0 / 100
1 ms328 KiB
#include<bits/stdc++.h>

using namespace std;

#define int long long
#define inf 0x3F3F3F3F

const int MXN = 5e5 + 5;
const int LOG = 20;

int n, D, T;
int arr[MXN], L[MXN];
int dp[MXN], ndp[MXN], add[MXN];
int st[MXN << 2], lz[MXN << 2];

void relax(int l, int r, int x)
{
  if (!lz[x]) return;
  st[x] += lz[x];
  if (l != r) lz[2*x] += lz[x], lz[2*x + 1] += lz[x];
  lz[x] = 0;
}
void upd(int l, int r, int x, int lx, int rx, int val)
{
  if (lx > rx) return;
  relax(l, r, x);
  if (l > rx || r < lx) return;
  if (l >= lx && r <= rx)
  {
    lz[x] += val;
    relax(l, r, x);
    return;
  }
  int mid = (l + r) >> 1;
  upd(l, mid, 2*x, lx, rx, val);
  upd(mid + 1, r, 2*x + 1, lx, rx, val);
  st[x] = min(st[2*x], st[2*x + 1]);
}
int get(int l, int r, int x, int lx, int rx)
{
  if (lx > rx) return inf;
  if (l > rx || r < lx) return inf;
  relax(l, r, x);
  if (l >= lx && r <= rx) return st[x];
  int mid = (l + r) >> 1;
  return min(get(l, mid, 2*x, lx, rx), get(mid + 1, r, 2*x + 1, lx, rx));
}
void make(int ind, int val)
{
  upd(0, n, 1, ind, ind, val - get(0, n, 1, ind, ind));
}

void _()
{
  cin >> n >> D >> T;
  for (int i = 1; i <= n; i++) cin >> arr[i];
  {
    multiset<array<int, 2>> ms;
    multiset<int> mx;
    for (int i = 1; i <= n; i++)
    {
      ms.insert({arr[i] - i, i});
      mx.insert(i);
      while (!ms.empty() && T - i < (*ms.rbegin())[0]) 
      {
        mx.erase(mx.find((*ms.rbegin())[1]));
        ms.erase(prev(ms.end()));
      }
      if (!mx.empty()) L[i] = *mx.rbegin();
    }
  }
  fill(dp + 1, dp + n + 1, inf);
  for (int i = 0; i <= D; i++)
  {
    for (int i = 0; i <= 4 * (n + 1); i++) st[i] = inf, lz[i] = 0;
    make(0, 0);
    for (int i = 1; i <= n; i++)
    {
      if (L[i]) upd(0, n, 1, 0, L[i] - 1, 1);
      dp[i] = min(dp[i], get(0, n, 1, 0, i - 1));
      make(i, dp[i]);
    }
  }
  cout << dp[n] << '\n';
}
signed main()
{
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  int t = 1;
  // cin >> t;
  while (t--) _();
}
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