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Submission #882153

# Submission time Handle Problem Language Result Execution time Memory
882153 2023-12-02T17:15:31 Z skywwla Global Warming (CEOI18_glo) C++17
100 / 100
 746 ms 184132 KB 
#include <bits/stdc++.h>

using namespace std ;
using ll = long long ;

struct SegTree {
   int _n ;
   struct Node {
      ll value = 0 ;
      Node() {}
      Node(ll x) {
         value = x ;
      }
   };
   Node combine(Node l, Node r) {
      if (l.value > r.value) return l ;
      return r ;
   }
   vector<Node> t ;
   SegTree(int len) {
      _n = len ;
      t.assign(len * 4 + 1, Node(0)) ;
   }
   void modify(int i, ll x, int v, int tl, int tr) {
      if (tl == tr) {
         t[v] = combine(x, t[v]) ;
      } else {
         int tm = (tl + tr) >> 1 ;
         if (i <= tm)
            modify(i, x, v << 1, tl, tm) ;
         else
            modify(i, x, v << 1 | 1, tm + 1, tr) ;
         t[v] = combine(t[v * 2], t[v * 2 + 1]) ;
      }
   }
   void modify(int i, ll x) {
      modify(i, x, 1, 1, _n) ;
   }
   Node get(int l, int r, int v, int tl, int tr) {
      if (l > tr || r < tl) return Node(0) ;
      if (l <= tl && tr <= r) return t[v] ;
      int tm = (tl + tr) >> 1 ;
      Node L = get(l, r, v << 1, tl, tm) ;
      Node R = get(l ,r, v << 1 | 1, tm + 1, tr) ;
      return combine(L, R) ;
   }
   Node get(int l, int r) {
       if (l > r) return Node(0) ;
      return get(l, r, 1, 1, _n) ;
   }
};

const int N = 6e5 + 5 ;

multiset<int> st[N * 4] ;
ll tree[N * 4] ;

void add(int i, int x, int v, int tl, int tr) {
    if (tl == tr) {
        st[tl].insert(x) ;
        tree[v] = *st[tl].rbegin() ;
    } else {
        int tm = (tl + tr) / 2 ;
        if (i <= tm) {
            add(i, x, v * 2, tl, tm) ;
        } else {
            add(i, x, v * 2 + 1, tm + 1, tr) ;
        }
        tree[v] = max(tree[v * 2], tree[v * 2 + 1]) ;
    }
}

void del(int i, int x, int v, int tl, int tr) {
    if (tl == tr) {
        st[tl].erase(st[tl].find(x)) ;
        if (st[tl].size())
            tree[v] = *st[tl].rbegin() ;
        else
            tree[v] = 0 ;
    } else {
        int tm = (tl + tr) / 2 ;
        if (i <= tm) {
            del(i, x, v * 2, tl, tm) ;
        } else {
            del(i, x, v * 2 + 1, tm + 1, tr) ;
        }
        tree[v] = max(tree[v * 2], tree[v * 2 + 1]) ;
    }
}

int query(int l, int r, int v, int tl, int tr) {
    if (l > tr || r< tl) return 0 ;
    if (l <= tl && tr <= r) return tree[v] ;
    int tm = (tl + tr) / 2 ;
    return max(query(l, r, v * 2, tl, tm), query(l, r, v * 2 + 1, tm + 1, tr)) ;
}

int32_t main() {
    ios::sync_with_stdio(false) ;
    cin.tie(nullptr) ;
    int n , x ;
    cin >> n >> x ;
    vector<int> a(n + 1), c ;
    for (int i = 1 ; i <= n ; i++) {
        cin >> a[i] ;
        c.push_back(a[i]) ;
        c.push_back(a[i] - 1) ;
        c.push_back(a[i] + 1) ;
        c.push_back(a[i] - x + 1) ;
        c.push_back(a[i] + x + 1) ;
    }
    sort(c.begin(), c.end()) ;
    c.erase(unique(c.begin(), c.end()), c.end()) ;
    auto get = [&](int i) -> int {
        return (lower_bound(c.begin(), c.end(), i) - c.begin() + 1) ;
    };
    int m = c.size() ;
    SegTree s(m) ;
    int ret = 0 ;
    vector<int> pre(n + 1, 1), suf(n + 1, 1) ;
    for (int i = 1 ; i <= n ; i++) {
        pre[i] = max(pre[i] * 1ll, s.get(1, get(a[i] - 1)).value + 1) ;
        s.modify(get(a[i]), pre[i]) ;
        ret = max(ret, pre[i]) ;
    }
    if (!x) {
        cout << ret ;
        return 0 ;
    }
    s = SegTree(m) ;
    for (int i = n ; i >= 1 ; i--) {
        suf[i] = max(suf[i] * 1ll, s.get(get(a[i] + 1), m).value + 1) ;
        s.modify(get(a[i]), suf[i]) ;
        add(get(a[i]), suf[i], 1, 1, m) ;
    }
    for (int i = 1 ; i <= n ; i++) {
        del(get(a[i]), suf[i], 1, 1, m) ;
        int l = get(a[i] - x + 1) , r = get(a[i] + x + 1) ;
        int value = query(l, r, 1, 1 ,m) ;
        ret = max(ret, value + pre[i]) ;
        ret = max(ret, pre[i]) ;
    }
    cout << ret ;
    return 0 ;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 113232 KB Output is correct
2 Correct 23 ms 113204 KB Output is correct
3 Correct 22 ms 113244 KB Output is correct
4 Correct 26 ms 113244 KB Output is correct
5 Correct 22 ms 113244 KB Output is correct
6 Correct 22 ms 113496 KB Output is correct
7 Correct 22 ms 113208 KB Output is correct
8 Correct 22 ms 113244 KB Output is correct
9 Correct 22 ms 113244 KB Output is correct
10 Correct 22 ms 113240 KB Output is correct
11 Correct 23 ms 113244 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 113232 KB Output is correct
2 Correct 23 ms 113204 KB Output is correct
3 Correct 22 ms 113244 KB Output is correct
4 Correct 26 ms 113244 KB Output is correct
5 Correct 22 ms 113244 KB Output is correct
6 Correct 22 ms 113496 KB Output is correct
7 Correct 22 ms 113208 KB Output is correct
8 Correct 22 ms 113244 KB Output is correct
9 Correct 22 ms 113244 KB Output is correct
10 Correct 22 ms 113240 KB Output is correct
11 Correct 23 ms 113244 KB Output is correct
12 Correct 22 ms 113244 KB Output is correct
13 Correct 22 ms 113240 KB Output is correct
14 Correct 24 ms 113104 KB Output is correct
15 Correct 22 ms 113244 KB Output is correct
16 Correct 23 ms 113244 KB Output is correct
17 Correct 22 ms 113336 KB Output is correct
18 Correct 22 ms 113240 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 113232 KB Output is correct
2 Correct 23 ms 113204 KB Output is correct
3 Correct 22 ms 113244 KB Output is correct
4 Correct 26 ms 113244 KB Output is correct
5 Correct 22 ms 113244 KB Output is correct
6 Correct 22 ms 113496 KB Output is correct
7 Correct 22 ms 113208 KB Output is correct
8 Correct 22 ms 113244 KB Output is correct
9 Correct 22 ms 113244 KB Output is correct
10 Correct 22 ms 113240 KB Output is correct
11 Correct 23 ms 113244 KB Output is correct
12 Correct 22 ms 113244 KB Output is correct
13 Correct 22 ms 113240 KB Output is correct
14 Correct 24 ms 113104 KB Output is correct
15 Correct 22 ms 113244 KB Output is correct
16 Correct 23 ms 113244 KB Output is correct
17 Correct 22 ms 113336 KB Output is correct
18 Correct 22 ms 113240 KB Output is correct
19 Correct 25 ms 113596 KB Output is correct
20 Correct 24 ms 113620 KB Output is correct
21 Correct 24 ms 113596 KB Output is correct
22 Correct 23 ms 113240 KB Output is correct
23 Correct 24 ms 113448 KB Output is correct
24 Correct 23 ms 113384 KB Output is correct
25 Correct 23 ms 113500 KB Output is correct
26 Correct 23 ms 113696 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 224 ms 138180 KB Output is correct
2 Correct 216 ms 138460 KB Output is correct
3 Correct 226 ms 138376 KB Output is correct
4 Correct 212 ms 138376 KB Output is correct
5 Correct 108 ms 128968 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 157 ms 130404 KB Output is correct
2 Correct 157 ms 130400 KB Output is correct
3 Correct 148 ms 130460 KB Output is correct
4 Correct 88 ms 123272 KB Output is correct
5 Correct 22 ms 113212 KB Output is correct
6 Correct 81 ms 121132 KB Output is correct
7 Correct 125 ms 127620 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 359 ms 147576 KB Output is correct
2 Correct 342 ms 148684 KB Output is correct
3 Correct 746 ms 183996 KB Output is correct
4 Correct 313 ms 154040 KB Output is correct
5 Correct 220 ms 139280 KB Output is correct
6 Correct 330 ms 159460 KB Output is correct
7 Correct 369 ms 160048 KB Output is correct
8 Correct 263 ms 144408 KB Output is correct

Subtask #7
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 113232 KB Output is correct
2 Correct 23 ms 113204 KB Output is correct
3 Correct 22 ms 113244 KB Output is correct
4 Correct 26 ms 113244 KB Output is correct
5 Correct 22 ms 113244 KB Output is correct
6 Correct 22 ms 113496 KB Output is correct
7 Correct 22 ms 113208 KB Output is correct
8 Correct 22 ms 113244 KB Output is correct
9 Correct 22 ms 113244 KB Output is correct
10 Correct 22 ms 113240 KB Output is correct
11 Correct 23 ms 113244 KB Output is correct
12 Correct 22 ms 113244 KB Output is correct
13 Correct 22 ms 113240 KB Output is correct
14 Correct 24 ms 113104 KB Output is correct
15 Correct 22 ms 113244 KB Output is correct
16 Correct 23 ms 113244 KB Output is correct
17 Correct 22 ms 113336 KB Output is correct
18 Correct 22 ms 113240 KB Output is correct
19 Correct 25 ms 113596 KB Output is correct
20 Correct 24 ms 113620 KB Output is correct
21 Correct 24 ms 113596 KB Output is correct
22 Correct 23 ms 113240 KB Output is correct
23 Correct 24 ms 113448 KB Output is correct
24 Correct 23 ms 113384 KB Output is correct
25 Correct 23 ms 113500 KB Output is correct
26 Correct 23 ms 113696 KB Output is correct
27 Correct 224 ms 138180 KB Output is correct
28 Correct 216 ms 138460 KB Output is correct
29 Correct 226 ms 138376 KB Output is correct
30 Correct 212 ms 138376 KB Output is correct
31 Correct 108 ms 128968 KB Output is correct
32 Correct 157 ms 130404 KB Output is correct
33 Correct 157 ms 130400 KB Output is correct
34 Correct 148 ms 130460 KB Output is correct
35 Correct 88 ms 123272 KB Output is correct
36 Correct 22 ms 113212 KB Output is correct
37 Correct 81 ms 121132 KB Output is correct
38 Correct 125 ms 127620 KB Output is correct
39 Correct 359 ms 147576 KB Output is correct
40 Correct 342 ms 148684 KB Output is correct
41 Correct 746 ms 183996 KB Output is correct
42 Correct 313 ms 154040 KB Output is correct
43 Correct 220 ms 139280 KB Output is correct
44 Correct 330 ms 159460 KB Output is correct
45 Correct 369 ms 160048 KB Output is correct
46 Correct 263 ms 144408 KB Output is correct
47 Correct 321 ms 148684 KB Output is correct
48 Correct 330 ms 148772 KB Output is correct
49 Correct 733 ms 184132 KB Output is correct
50 Correct 305 ms 154012 KB Output is correct
51 Correct 256 ms 136276 KB Output is correct
52 Correct 340 ms 140832 KB Output is correct
53 Correct 338 ms 161404 KB Output is correct
54 Correct 349 ms 161916 KB Output is correct
55 Correct 528 ms 170516 KB Output is correct