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Submission #566795

# Submission time Handle Problem Language Result Execution time Memory
566795 2022-05-22T21:14:35 Z Ooops_sorry Road Closures (APIO21_roads) C++14
31 / 100
 2000 ms 42060 KB 
#include<bits/stdc++.h>
#ifndef LOCAL
    #include "roads.h"
#endif

#define ld long double
#define ll long long
#define pb push_back

using namespace std;

const int N = 1e5 + 10;
const ll INF = 1e18;
vector<pair<int, ll>> g[N];
vector<bool> used(N);
vector<ll> arr[N];
int n, k;
ll dp[N][2];

struct Fenwick {
    vector<ll> t;
    void build(int n) {
        t.resize(n);
    }
    void inc(int i, ll val) {
        for (; i < t.size(); i = (i | (i + 1))) {
            t[i] += val;
        }
    }
    ll get(int r) {
        ll ans = 0;
        for (; r >= 0; r = (r & (r + 1)) - 1) {
            ans += t[r];
        }
        return ans;
    }
} sum[N], cnt[N];

void add(int v, ll a) {
    int j = lower_bound(arr[v].begin(), arr[v].end(), a) - arr[v].begin();
    sum[v].inc(j, a);
    cnt[v].inc(j, 1);
}

ll get(int v, int need) {
    need = cnt[v].get((int)(arr[v].size() - 1)) - need;
    if (need <= 0) return 0;
    int l = -1, r = arr[v].size();
    while (r - l > 1) {
        int mid = (r + l) / 2;
        if (cnt[v].get(mid) >= need) {
            r = mid;
        } else {
            l = mid;
        }
    }
    return sum[v].get(r - 1) + (arr[v][r] * (need - cnt[v].get(r - 1)));
}

void dfs(int v, int p) {
    used[v] = 1;
    ll sum = 0;
    vector<ll> arr;
    for (auto to : g[v]) {
        if (to.first != p && g[to.first].size() > k) {
            dfs(to.first, v);
            sum += dp[to.first][0] + to.second;
            arr.pb({dp[to.first][1] - (dp[to.first][0] + to.second)});
        }
    }
    sort(arr.begin(), arr.end());
    dp[v][0] = dp[v][1] = INF;
    for (int i = 0; i <= min((int)arr.size(), k); i++) {
        dp[v][0] = min(dp[v][0], sum + get(v, k - i));
        if (i < k) {
            dp[v][1] = min(dp[v][1], sum + get(v, k - i - 1));
        }
        if (i < arr.size()) sum += arr[i];
    }
}

vector<long long> minimum_closure_costs(int N, vector<int> u, vector<int> v, vector<int> w) {
    n = N;
    ll res = 0;
    for (int i = 0; i < n - 1; i++) {
        g[u[i]].pb({v[i], w[i]});
        g[v[i]].pb({u[i], w[i]});
        res += w[i];
    }
    vector<vector<int>> vert(n);
    vector<int> ord(n);
    iota(ord.begin(), ord.end(), 0);
    sort(ord.begin(), ord.end(), [&](int a, int b){return g[a].size() > g[b].size();});
    for (int i = 0; i < n; i++) {
        sort(g[i].begin(), g[i].end(), [&](pair<int,int> a, pair<int,int> b){return g[a.first].size() > g[b.first].size();});
        for (auto to : g[i]) {
            arr[i].pb(to.second);
        }
        sort(arr[i].begin(), arr[i].end());
        arr[i].erase(unique(arr[i].begin(), arr[i].end()), arr[i].end());
        sum[i].build((int)arr[i].size());
        cnt[i].build((int)arr[i].size());
        vert[g[i].size()].pb(i);
    }
    vector<ll> ans(n);
    ans[0] = res;
    for (k = 1; k < n; k++) {
        for (auto v : vert[k]) {
            for (auto to : g[v]) {
                add(to.first, to.second);
            }
        }
        for (auto to : ord) {
            if (g[to].size() <= k) break;
            used[to] = 0;
        }
        for (auto to : ord) {
            if (g[to].size() <= k) break;
            if (!used[to]) {
                dfs(to, -1);
                ans[k] += dp[to][0];
            }
        }
    }
    return ans;
}

#ifdef LOCAL

int main() {
  int N;
  assert(1 == scanf("%d", &N));

  std::vector<int> U(N - 1), V(N - 1), W(N - 1);
  for (int i = 0; i < N - 1; ++i) {
    assert(3 == scanf("%d %d %d", &U[i], &V[i], &W[i]));
  }

  std::vector<long long> closure_costs = minimum_closure_costs(N, U, V, W);
  for (int i = 0; i < static_cast<int>(closure_costs.size()); ++i) {
    if (i > 0) {
      printf(" ");
    }
    printf("%lld",closure_costs[i]);
  }
  printf("\n");
  return 0;
}

#endif

Compilation message

roads.cpp: In member function 'void Fenwick::inc(int, long long int)':
roads.cpp:26:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 |         for (; i < t.size(); i = (i | (i + 1))) {
      |                ~~^~~~~~~~~~
roads.cpp: In function 'void dfs(int, int)':
roads.cpp:65:49: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<int, long long int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   65 |         if (to.first != p && g[to.first].size() > k) {
      |                              ~~~~~~~~~~~~~~~~~~~^~~
roads.cpp:78:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   78 |         if (i < arr.size()) sum += arr[i];
      |             ~~^~~~~~~~~~~~
roads.cpp: In function 'std::vector<long long int> minimum_closure_costs(int, std::vector<int>, std::vector<int>, std::vector<int>)':
roads.cpp:114:30: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<int, long long int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  114 |             if (g[to].size() <= k) break;
      |                 ~~~~~~~~~~~~~^~~~
roads.cpp:118:30: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<int, long long int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  118 |             if (g[to].size() <= k) break;
      |                 ~~~~~~~~~~~~~^~~~

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 12 ms 10140 KB Output is correct
3 Correct 12 ms 10112 KB Output is correct
4 Correct 12 ms 10068 KB Output is correct
5 Correct 6 ms 9684 KB Output is correct
6 Correct 5 ms 9736 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 10 ms 10072 KB Output is correct
9 Correct 15 ms 10060 KB Output is correct
10 Correct 5 ms 9744 KB Output is correct
11 Correct 5 ms 9684 KB Output is correct
12 Execution timed out 2077 ms 22384 KB Time limit exceeded
13 Halted 0 ms 0 KB -

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 101 ms 36476 KB Output is correct
3 Correct 94 ms 39872 KB Output is correct
4 Correct 96 ms 42052 KB Output is correct
5 Correct 93 ms 41976 KB Output is correct
6 Correct 6 ms 10196 KB Output is correct
7 Correct 7 ms 10252 KB Output is correct
8 Correct 7 ms 10196 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 5 ms 9672 KB Output is correct
11 Correct 6 ms 9684 KB Output is correct
12 Correct 56 ms 29112 KB Output is correct
13 Correct 92 ms 42060 KB Output is correct
14 Correct 5 ms 9684 KB Output is correct
15 Correct 80 ms 38752 KB Output is correct
16 Correct 86 ms 42044 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9700 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 6 ms 9684 KB Output is correct
6 Correct 6 ms 9684 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 5 ms 9684 KB Output is correct
12 Correct 6 ms 9684 KB Output is correct
13 Correct 5 ms 9724 KB Output is correct
14 Correct 6 ms 9684 KB Output is correct
15 Correct 6 ms 9684 KB Output is correct
16 Correct 5 ms 9684 KB Output is correct
17 Correct 5 ms 9684 KB Output is correct
18 Correct 5 ms 9684 KB Output is correct
19 Correct 5 ms 9684 KB Output is correct
20 Correct 5 ms 9684 KB Output is correct
21 Correct 5 ms 9684 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9700 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 6 ms 9684 KB Output is correct
6 Correct 6 ms 9684 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 5 ms 9684 KB Output is correct
12 Correct 6 ms 9684 KB Output is correct
13 Correct 5 ms 9724 KB Output is correct
14 Correct 6 ms 9684 KB Output is correct
15 Correct 6 ms 9684 KB Output is correct
16 Correct 5 ms 9684 KB Output is correct
17 Correct 5 ms 9684 KB Output is correct
18 Correct 5 ms 9684 KB Output is correct
19 Correct 5 ms 9684 KB Output is correct
20 Correct 5 ms 9684 KB Output is correct
21 Correct 5 ms 9684 KB Output is correct
22 Correct 5 ms 9684 KB Output is correct
23 Correct 6 ms 9940 KB Output is correct
24 Correct 7 ms 10196 KB Output is correct
25 Correct 6 ms 10028 KB Output is correct
26 Correct 7 ms 10068 KB Output is correct
27 Correct 9 ms 10116 KB Output is correct
28 Correct 8 ms 10196 KB Output is correct
29 Correct 7 ms 10068 KB Output is correct
30 Correct 8 ms 10196 KB Output is correct
31 Correct 9 ms 10068 KB Output is correct
32 Correct 9 ms 10068 KB Output is correct
33 Correct 7 ms 10196 KB Output is correct
34 Correct 7 ms 10324 KB Output is correct
35 Correct 6 ms 10196 KB Output is correct
36 Correct 13 ms 10144 KB Output is correct
37 Correct 14 ms 10072 KB Output is correct
38 Correct 12 ms 10128 KB Output is correct
39 Correct 5 ms 9684 KB Output is correct
40 Correct 7 ms 9648 KB Output is correct
41 Correct 5 ms 9684 KB Output is correct
42 Correct 5 ms 9684 KB Output is correct
43 Correct 6 ms 9684 KB Output is correct
44 Correct 5 ms 9684 KB Output is correct
45 Correct 5 ms 9748 KB Output is correct
46 Correct 5 ms 9684 KB Output is correct
47 Correct 5 ms 9712 KB Output is correct
48 Correct 5 ms 9684 KB Output is correct
49 Correct 5 ms 9684 KB Output is correct
50 Correct 5 ms 9684 KB Output is correct
51 Correct 5 ms 9684 KB Output is correct
52 Correct 5 ms 9684 KB Output is correct
53 Correct 6 ms 10016 KB Output is correct
54 Correct 7 ms 10164 KB Output is correct
55 Correct 8 ms 10196 KB Output is correct
56 Correct 10 ms 10004 KB Output is correct
57 Correct 12 ms 10068 KB Output is correct
58 Correct 5 ms 9636 KB Output is correct
59 Correct 5 ms 9684 KB Output is correct
60 Correct 6 ms 9752 KB Output is correct
61 Correct 5 ms 9684 KB Output is correct
62 Correct 5 ms 9684 KB Output is correct
63 Correct 5 ms 9684 KB Output is correct
64 Correct 7 ms 10068 KB Output is correct
65 Correct 7 ms 10068 KB Output is correct
66 Correct 7 ms 10192 KB Output is correct
67 Correct 8 ms 10068 KB Output is correct
68 Correct 7 ms 10068 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 187 ms 31812 KB Output is correct
2 Correct 171 ms 31380 KB Output is correct
3 Correct 222 ms 33084 KB Output is correct
4 Correct 180 ms 32516 KB Output is correct
5 Correct 211 ms 33268 KB Output is correct
6 Correct 681 ms 31092 KB Output is correct
7 Correct 197 ms 34504 KB Output is correct
8 Execution timed out 2095 ms 30500 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #6
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 187 ms 31812 KB Output is correct
2 Correct 171 ms 31380 KB Output is correct
3 Correct 222 ms 33084 KB Output is correct
4 Correct 180 ms 32516 KB Output is correct
5 Correct 211 ms 33268 KB Output is correct
6 Correct 681 ms 31092 KB Output is correct
7 Correct 197 ms 34504 KB Output is correct
8 Execution timed out 2095 ms 30500 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #7
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 12 ms 10140 KB Output is correct
3 Correct 12 ms 10112 KB Output is correct
4 Correct 12 ms 10068 KB Output is correct
5 Correct 6 ms 9684 KB Output is correct
6 Correct 5 ms 9736 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 10 ms 10072 KB Output is correct
9 Correct 15 ms 10060 KB Output is correct
10 Correct 5 ms 9744 KB Output is correct
11 Correct 5 ms 9684 KB Output is correct
12 Execution timed out 2077 ms 22384 KB Time limit exceeded
13 Halted 0 ms 0 KB -