Submission #1170497

#TimeUsernameProblemLanguageResultExecution timeMemory
1170497domblyBouquet (EGOI24_bouquet)C++20
100 / 100
108 ms31124 KiB
#include <bits/stdc++.h>
#define int long long
#define F first
#define S second

using namespace std;

const int N = 2e5 + 10;

const int inf = 1e16 + 7;

int st[N * 4];

void Pull(int i) {
  st[i] = max(st[i * 2], st[i * 2 + 1]);
}

void Update(int node, int tl, int tr, int i, int v) {
  if(tl > i || tr < i) return;
  if(tl == tr) {
    st[node] = max(st[node], v);
    return;
  }
  int mid = tl + tr >> 1;
  Update(node * 2, tl, mid, i, v);
  Update(node * 2 + 1, mid + 1, tr, i, v);
  Pull(node);
}

int Query(int node, int tl, int  tr, int l, int r) {
  if(tl > r || tr < l) return -inf;
  if(tl >= l && tr <= r) return st[node];
  int mid = tl + tr >> 1;
  return max(Query(node * 2, tl, mid, l, r), Query(node * 2 + 1, mid + 1, tr, l, r));
}

signed main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);

  int n;
  cin >> n;
  vector<int> a(n + 1), b(n + 1);
  vector<int> g[n + 1], f[n + 2];
  for(int i = 1; i <= n; i++) {
    cin >> a[i] >> b[i];
    a[i] = i - a[i];
    b[i] = i + b[i];
    a[i] = max(a[i], 1ll);
    b[i] = min(b[i], n);
    g[i].push_back(a[i] - 1);
    f[b[i] + 1].push_back(i);
  }
  vector<int> dp(n + 1, 1);
  for(int i = 1; i <= n; i++) {
    for(int j : f[i]) {
      Update(1, 1, n, j, dp[j]);
    }
    for(int j : g[i]) {
      dp[i] = max(dp[i], Query(1, 1, n, 1, j) + 1);
    }
  }
  int ans = 0;
  for(int i = 1; i <= n; i++) ans = max(ans, dp[i]);
  cout << ans;
}
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