Submission #218133

# Submission time Handle Problem Language Result Execution time Memory
218133 2020-04-01T09:57:46 Z fedoseevtimofey Constellation 3 (JOI20_constellation3) C++14
35 / 100
1500 ms 69368 KB
#include <iostream>
#include <string>
#include <vector>
#include <queue>
#include <deque>
#include <stack>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <cstring>
#include <cmath>
#include <cstdlib>
#include <algorithm>
#include <random>
#include <iomanip>
#include <functional>
#include <cassert>

using namespace std;

typedef long long ll;

const int N = 2e5 + 7;

int p[N];
int l[N], r[N];

int get(int a) {
  return (a == p[a] ? a : p[a] = get(p[a]));
}

void join(int a, int b) {
  a = get(a);
  b = get(b);
  p[a] = b;
  l[b] = min(l[b], l[a]);
  r[b] = max(r[b], r[a]);
}

int vert_l[N], vert_r[N];
vector <int> gs[N];
vector <int> g[N];
ll cost[N];

int main() {
  ios_base::sync_with_stdio(false); cin.tie(0);
#ifdef LOCAL
  freopen("input.txt", "r", stdin);
#endif
  int n;
  cin >> n;
  vector <int> a(n);
  vector <vector <int>> nc(n);
  for (int i = 0; i < n; ++i) {
    cin >> a[i];
    a[i] = n - a[i] - 1;
    if (a[i] != -1) {
      nc[a[i]].push_back(i);
    }
  }
  int m;
  cin >> m;
  vector <int> x(m), y(m);
  vector <vector <pair <int, int>>> who(n);
  vector <int> c(m);
  for (int i = 0; i < m; ++i) {
    cin >> y[i] >> x[i] >> c[i];
    --y[i];
    x[i] = n - x[i];
    who[x[i]].push_back({y[i], i});
  }            
  set <pair <int, int>> seg;
  map <pair <int, int>, int> num;
  int uk = 1;
  vector <int> have(n);
  for (int i = n - 1; i >= 0; --i) {
    for (auto j : nc[i]) {
      p[j] = j;
      l[j] = j;
      r[j] = j;
      have[j] = 1;
      if (j > 0 && have[j - 1]) {
        join(j, j - 1);
      }
      if (j + 1 < n && have[j + 1]) {
        join(j, j + 1);
      }
    }
    set <pair <int, int>> cur;
    for (auto pr : who[i]) {
      int id = pr.second;
      int yc = pr.first;
      int cl = l[get(yc)];
      int cr = r[get(yc)];
      if (cur.count({cl, cr})) {
        gs[num[{cl, cr}]].push_back(id);
      } else {
        cur.insert({cl, cr});
        while (true) {
          auto it = seg.lower_bound(make_pair(cl, -1));
          if (it != seg.end() && it->second <= cr) {
            g[uk].push_back(num[*it]);
            seg.erase(it);
          } else {
            break;
          }
        }
        vert_l[uk] = cl;
        vert_r[uk] = cr;
        gs[uk].push_back(id);
        num[{cl, cr}] = uk++;
      }
    } 
    for (auto p : cur) {
      seg.insert(p);
    }
  }
  vector <bool> rt(uk, true);
  for (int i = 1; i < uk; ++i) {
    for (int j : g[i]) {
      rt[j] = false;
    }
  }
  for (int i = 1; i < uk; ++i) {
    if (rt[i]) {
      g[0].push_back(i);
    }
  }
  vert_l[0] = 0, vert_r[0] = n - 1;
  vector <int> leaf(n);
  set <int> free;
  for (int i = 0; i < n; ++i) free.insert(i);
  vector <int> par(uk);
  function <void(int, int)> dfs = [&] (int u, int p) {
    par[u] = p;
    for (auto v : g[u]) {
      dfs(v, u);
    }
    while (true) {
      auto it = free.lower_bound(vert_l[u]);
      if (it != free.end() && (*it) <= vert_r[u]) {
        leaf[*it] = u;
        free.erase(it);
      } else {
        break;
      }
    }
  };  
  dfs(0, -1);
  for (int i = 0; i < uk; ++i) {
    for (int id : gs[i]) {
      cost[i] += c[id];
    }
  }
  vector <vector <ll>> dp(uk, vector <ll> (2));
  vector <ll> sum(uk);
  function <void(int)> zhfs = [&] (int u) {
    for (auto v : g[u]) {
      zhfs(v);
      sum[u] += min(dp[v][0], dp[v][1]);
    }
    dp[u][0] = sum[u] + cost[u];
    dp[u][1] = dp[u][0];
    for (int id : gs[u]) {
      int l = leaf[y[id]];
      ll total = -c[id];
      while (l != par[u]) {
        total += sum[l] + cost[l];
        if (l != u) total -= min(dp[l][0], dp[l][1]);
        l = par[l];
      }
      dp[u][1] = min(dp[u][1], total);
    }
  };
  zhfs(0);
  cout << dp[0][0] << '\n';
}

# Verdict Execution time Memory Grader output
1 Correct 14 ms 9856 KB Output is correct
2 Correct 11 ms 9856 KB Output is correct
3 Correct 12 ms 9856 KB Output is correct
4 Correct 10 ms 9856 KB Output is correct
5 Correct 10 ms 9856 KB Output is correct
6 Correct 10 ms 9856 KB Output is correct
7 Correct 10 ms 9856 KB Output is correct
8 Correct 10 ms 9856 KB Output is correct
9 Correct 10 ms 9856 KB Output is correct
10 Correct 10 ms 9856 KB Output is correct
11 Correct 10 ms 9856 KB Output is correct
12 Correct 10 ms 9856 KB Output is correct
13 Correct 10 ms 9856 KB Output is correct
14 Correct 10 ms 9856 KB Output is correct
15 Correct 10 ms 9856 KB Output is correct
16 Correct 10 ms 9856 KB Output is correct
17 Correct 10 ms 9856 KB Output is correct
18 Correct 10 ms 9856 KB Output is correct
19 Correct 10 ms 9856 KB Output is correct
20 Correct 10 ms 9856 KB Output is correct
21 Correct 10 ms 9856 KB Output is correct
22 Correct 10 ms 9856 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 9856 KB Output is correct
2 Correct 11 ms 9856 KB Output is correct
3 Correct 12 ms 9856 KB Output is correct
4 Correct 10 ms 9856 KB Output is correct
5 Correct 10 ms 9856 KB Output is correct
6 Correct 10 ms 9856 KB Output is correct
7 Correct 10 ms 9856 KB Output is correct
8 Correct 10 ms 9856 KB Output is correct
9 Correct 10 ms 9856 KB Output is correct
10 Correct 10 ms 9856 KB Output is correct
11 Correct 10 ms 9856 KB Output is correct
12 Correct 10 ms 9856 KB Output is correct
13 Correct 10 ms 9856 KB Output is correct
14 Correct 10 ms 9856 KB Output is correct
15 Correct 10 ms 9856 KB Output is correct
16 Correct 10 ms 9856 KB Output is correct
17 Correct 10 ms 9856 KB Output is correct
18 Correct 10 ms 9856 KB Output is correct
19 Correct 10 ms 9856 KB Output is correct
20 Correct 10 ms 9856 KB Output is correct
21 Correct 10 ms 9856 KB Output is correct
22 Correct 10 ms 9856 KB Output is correct
23 Correct 14 ms 10368 KB Output is correct
24 Correct 13 ms 10368 KB Output is correct
25 Correct 13 ms 10368 KB Output is correct
26 Correct 15 ms 10368 KB Output is correct
27 Correct 13 ms 10368 KB Output is correct
28 Correct 14 ms 10368 KB Output is correct
29 Correct 15 ms 10368 KB Output is correct
30 Correct 14 ms 10368 KB Output is correct
31 Correct 14 ms 10368 KB Output is correct
32 Correct 14 ms 10368 KB Output is correct
33 Correct 14 ms 10368 KB Output is correct
34 Correct 14 ms 10368 KB Output is correct
35 Correct 15 ms 10368 KB Output is correct
36 Correct 14 ms 10368 KB Output is correct
37 Correct 15 ms 10368 KB Output is correct
38 Correct 14 ms 10368 KB Output is correct
39 Correct 12 ms 10112 KB Output is correct
40 Correct 14 ms 10368 KB Output is correct
41 Correct 12 ms 10240 KB Output is correct
42 Correct 12 ms 10112 KB Output is correct
43 Correct 13 ms 10240 KB Output is correct
44 Correct 12 ms 10112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 9856 KB Output is correct
2 Correct 11 ms 9856 KB Output is correct
3 Correct 12 ms 9856 KB Output is correct
4 Correct 10 ms 9856 KB Output is correct
5 Correct 10 ms 9856 KB Output is correct
6 Correct 10 ms 9856 KB Output is correct
7 Correct 10 ms 9856 KB Output is correct
8 Correct 10 ms 9856 KB Output is correct
9 Correct 10 ms 9856 KB Output is correct
10 Correct 10 ms 9856 KB Output is correct
11 Correct 10 ms 9856 KB Output is correct
12 Correct 10 ms 9856 KB Output is correct
13 Correct 10 ms 9856 KB Output is correct
14 Correct 10 ms 9856 KB Output is correct
15 Correct 10 ms 9856 KB Output is correct
16 Correct 10 ms 9856 KB Output is correct
17 Correct 10 ms 9856 KB Output is correct
18 Correct 10 ms 9856 KB Output is correct
19 Correct 10 ms 9856 KB Output is correct
20 Correct 10 ms 9856 KB Output is correct
21 Correct 10 ms 9856 KB Output is correct
22 Correct 10 ms 9856 KB Output is correct
23 Correct 14 ms 10368 KB Output is correct
24 Correct 13 ms 10368 KB Output is correct
25 Correct 13 ms 10368 KB Output is correct
26 Correct 15 ms 10368 KB Output is correct
27 Correct 13 ms 10368 KB Output is correct
28 Correct 14 ms 10368 KB Output is correct
29 Correct 15 ms 10368 KB Output is correct
30 Correct 14 ms 10368 KB Output is correct
31 Correct 14 ms 10368 KB Output is correct
32 Correct 14 ms 10368 KB Output is correct
33 Correct 14 ms 10368 KB Output is correct
34 Correct 14 ms 10368 KB Output is correct
35 Correct 15 ms 10368 KB Output is correct
36 Correct 14 ms 10368 KB Output is correct
37 Correct 15 ms 10368 KB Output is correct
38 Correct 14 ms 10368 KB Output is correct
39 Correct 12 ms 10112 KB Output is correct
40 Correct 14 ms 10368 KB Output is correct
41 Correct 12 ms 10240 KB Output is correct
42 Correct 12 ms 10112 KB Output is correct
43 Correct 13 ms 10240 KB Output is correct
44 Correct 12 ms 10112 KB Output is correct
45 Correct 779 ms 67168 KB Output is correct
46 Correct 769 ms 66100 KB Output is correct
47 Correct 791 ms 67112 KB Output is correct
48 Correct 809 ms 66296 KB Output is correct
49 Correct 783 ms 65912 KB Output is correct
50 Correct 790 ms 65384 KB Output is correct
51 Correct 814 ms 66372 KB Output is correct
52 Correct 788 ms 67168 KB Output is correct
53 Correct 766 ms 66032 KB Output is correct
54 Execution timed out 1601 ms 69368 KB Time limit exceeded
55 Halted 0 ms 0 KB -