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Submission #598137

# Submission time Handle Problem Language Result Execution time Memory
598137 2022-07-17T17:07:34 Z cadmiumsky Constellation 3 (JOI20_constellation3) C++14
100 / 100
 599 ms 78472 KB 
#include <bits/stdc++.h>

using namespace std;
#define int ll
using ll = long long;
using pii = pair<int,int>;
const int nbit = 18, nmax = 2e5 + 5;

#define lsb(x) (x & -x)
struct AIB {
  vector<ll> tree; int len;
  void init(int n) {
    len = n;
    tree.clear(), tree.resize(n + 1, 0);
  }
  void upd(int x, int val) {
    while(x <= len) 
      tree[x] += val,
      x += lsb(x);
    return;
  }
  void upd(int l, int r, int val) {
    upd(l, val);
    upd(r + 1, -val);
  }
  int query(int x) {
    int sum = 0;
    while(x > 0) sum += tree[x], x -= lsb(x);
    return sum;
  }
};
int n, m;

namespace CartTree {
  vector<int> g[nmax];
  vector<pii> atrendpoint[nmax];
  int p[nmax][nbit], lson[nmax], rson[nmax], pin[nmax], pout[nmax], inp = 1;
  static int root;
  vector<int> v;
  ll dp[nmax], son[nmax];
  AIB pinexsum;
  
  void build(vector<int> abogus) {
    v = move(abogus);
    root = 0;
    for(int i = 0; i < n; i++) { //init carttree
      int lst = i - 1, lastval = -1;
      lson[i] = rson[i] = -1;
      while(lst >= 0 && v[lst] <= v[i])
        lastval = lst,
        lst = p[lst][0];
      p[i][0] = lst;
      lson[i] = lastval;
      if(lastval != -1)
        p[lastval][0] = i;
      if(lst != -1)
        rson[lst] = i;
    }
    for(int i = 0; i < n; i++) { // init tree
      if(lson[i] != -1)
        g[i].push_back(lson[i]),
        p[lson[i]][0] = i;
      if(rson[i] != -1)
        g[i].push_back(rson[i]),
        p[rson[i]][0] = i;
      if(p[i][0] == -1)
        root = i;
    }
    p[root][0] = root;
    for(int step = 1; step < nbit; step++)
      for(int i = 0; i < n; i++)
        p[i][step] = p[p[i][step - 1]][step - 1];
    auto dfs = [&](auto &&self, int node) -> void {
      pin[node] = inp++;
      for(auto x : g[node])
        self(self, x);
      pout[node] = inp - 1;
    };
    dfs(dfs, root);
    pinexsum.init(n + 1);
  }
  
  void addstar(int x, int height, int cost) {
    int temp = x;
    for(int i = nbit - 1; i >= 0; i--) {
      if(v[p[x][i]] < height)
        x = p[x][i];
    }
    atrendpoint[x].emplace_back(temp, cost);
  }
  
  void startdp(int node = root) {
    for(auto x : g[node])
      startdp(x),
      son[node] += dp[x];
    dp[node] = son[node];
    pinexsum.upd(pin[node], pout[node], son[node]);
    for(auto [x, cost] : atrendpoint[node])
      dp[node] = max(dp[node], (ll)cost + pinexsum.query(pin[x]));
    pinexsum.upd(pin[node], pout[node], -dp[node]);
  }
}

signed main() {
  cin >> n;
  vector<int> heights(n);
  for(auto &x : heights) 
    cin >> x;
  CartTree::build(heights);
  cin >> m;
  ll sum = 0;
  for(int i = 0, x, y, c; i < m; i++) {
    cin >> x >> y >> c;
    CartTree::addstar(x - 1, y, c);
    sum += c;
  }
  CartTree::startdp();
  cout << sum - CartTree::dp[CartTree::root] << '\n';
}
/*
 * 
 * 6   A 8   x 5
 *   x     x x x
 * x x     x x x
 * x x     x x x
 * x x 7 x x x x
 * x x x x x x x
 * x x x x x x x 
 * 
 * 
 */

Compilation message

constellation3.cpp: In function 'void CartTree::startdp(ll)':
constellation3.cpp:98:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   98 |     for(auto [x, cost] : atrendpoint[node])
      |              ^

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9812 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9812 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9812 KB Output is correct
7 Correct 5 ms 9752 KB Output is correct
8 Correct 6 ms 9812 KB Output is correct
9 Correct 5 ms 9812 KB Output is correct
10 Correct 5 ms 9812 KB Output is correct
11 Correct 5 ms 9812 KB Output is correct
12 Correct 5 ms 9812 KB Output is correct
13 Correct 5 ms 9812 KB Output is correct
14 Correct 5 ms 9812 KB Output is correct
15 Correct 5 ms 9812 KB Output is correct
16 Correct 5 ms 9812 KB Output is correct
17 Correct 5 ms 9812 KB Output is correct
18 Correct 5 ms 9812 KB Output is correct
19 Correct 6 ms 9684 KB Output is correct
20 Correct 6 ms 9684 KB Output is correct
21 Correct 5 ms 9812 KB Output is correct
22 Correct 5 ms 9812 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9812 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9812 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9812 KB Output is correct
7 Correct 5 ms 9752 KB Output is correct
8 Correct 6 ms 9812 KB Output is correct
9 Correct 5 ms 9812 KB Output is correct
10 Correct 5 ms 9812 KB Output is correct
11 Correct 5 ms 9812 KB Output is correct
12 Correct 5 ms 9812 KB Output is correct
13 Correct 5 ms 9812 KB Output is correct
14 Correct 5 ms 9812 KB Output is correct
15 Correct 5 ms 9812 KB Output is correct
16 Correct 5 ms 9812 KB Output is correct
17 Correct 5 ms 9812 KB Output is correct
18 Correct 5 ms 9812 KB Output is correct
19 Correct 6 ms 9684 KB Output is correct
20 Correct 6 ms 9684 KB Output is correct
21 Correct 5 ms 9812 KB Output is correct
22 Correct 5 ms 9812 KB Output is correct
23 Correct 7 ms 10196 KB Output is correct
24 Correct 8 ms 10228 KB Output is correct
25 Correct 8 ms 10196 KB Output is correct
26 Correct 7 ms 10208 KB Output is correct
27 Correct 7 ms 10196 KB Output is correct
28 Correct 7 ms 10164 KB Output is correct
29 Correct 7 ms 10196 KB Output is correct
30 Correct 8 ms 10196 KB Output is correct
31 Correct 8 ms 10196 KB Output is correct
32 Correct 9 ms 10340 KB Output is correct
33 Correct 7 ms 10324 KB Output is correct
34 Correct 7 ms 10196 KB Output is correct
35 Correct 8 ms 10196 KB Output is correct
36 Correct 7 ms 10292 KB Output is correct
37 Correct 7 ms 10324 KB Output is correct
38 Correct 7 ms 10420 KB Output is correct
39 Correct 8 ms 10196 KB Output is correct
40 Correct 8 ms 10260 KB Output is correct
41 Correct 7 ms 10196 KB Output is correct
42 Correct 8 ms 10196 KB Output is correct
43 Correct 8 ms 10324 KB Output is correct
44 Correct 7 ms 10196 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9812 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9812 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9812 KB Output is correct
7 Correct 5 ms 9752 KB Output is correct
8 Correct 6 ms 9812 KB Output is correct
9 Correct 5 ms 9812 KB Output is correct
10 Correct 5 ms 9812 KB Output is correct
11 Correct 5 ms 9812 KB Output is correct
12 Correct 5 ms 9812 KB Output is correct
13 Correct 5 ms 9812 KB Output is correct
14 Correct 5 ms 9812 KB Output is correct
15 Correct 5 ms 9812 KB Output is correct
16 Correct 5 ms 9812 KB Output is correct
17 Correct 5 ms 9812 KB Output is correct
18 Correct 5 ms 9812 KB Output is correct
19 Correct 6 ms 9684 KB Output is correct
20 Correct 6 ms 9684 KB Output is correct
21 Correct 5 ms 9812 KB Output is correct
22 Correct 5 ms 9812 KB Output is correct
23 Correct 7 ms 10196 KB Output is correct
24 Correct 8 ms 10228 KB Output is correct
25 Correct 8 ms 10196 KB Output is correct
26 Correct 7 ms 10208 KB Output is correct
27 Correct 7 ms 10196 KB Output is correct
28 Correct 7 ms 10164 KB Output is correct
29 Correct 7 ms 10196 KB Output is correct
30 Correct 8 ms 10196 KB Output is correct
31 Correct 8 ms 10196 KB Output is correct
32 Correct 9 ms 10340 KB Output is correct
33 Correct 7 ms 10324 KB Output is correct
34 Correct 7 ms 10196 KB Output is correct
35 Correct 8 ms 10196 KB Output is correct
36 Correct 7 ms 10292 KB Output is correct
37 Correct 7 ms 10324 KB Output is correct
38 Correct 7 ms 10420 KB Output is correct
39 Correct 8 ms 10196 KB Output is correct
40 Correct 8 ms 10260 KB Output is correct
41 Correct 7 ms 10196 KB Output is correct
42 Correct 8 ms 10196 KB Output is correct
43 Correct 8 ms 10324 KB Output is correct
44 Correct 7 ms 10196 KB Output is correct
45 Correct 422 ms 60784 KB Output is correct
46 Correct 414 ms 60108 KB Output is correct
47 Correct 419 ms 59472 KB Output is correct
48 Correct 419 ms 60840 KB Output is correct
49 Correct 409 ms 59096 KB Output is correct
50 Correct 414 ms 59460 KB Output is correct
51 Correct 406 ms 59364 KB Output is correct
52 Correct 427 ms 60504 KB Output is correct
53 Correct 414 ms 60236 KB Output is correct
54 Correct 588 ms 71172 KB Output is correct
55 Correct 588 ms 67020 KB Output is correct
56 Correct 547 ms 65216 KB Output is correct
57 Correct 585 ms 63552 KB Output is correct
58 Correct 462 ms 68296 KB Output is correct
59 Correct 463 ms 67480 KB Output is correct
60 Correct 316 ms 78472 KB Output is correct
61 Correct 400 ms 60800 KB Output is correct
62 Correct 599 ms 71852 KB Output is correct
63 Correct 408 ms 64988 KB Output is correct
64 Correct 397 ms 64100 KB Output is correct
65 Correct 574 ms 78020 KB Output is correct
66 Correct 404 ms 64464 KB Output is correct