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답안 #708902

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
708902 2023-03-12T15:46:02 Z LittleCube Designated Cities (JOI19_designated_cities) C++14
100 / 100
 1151 ms 46416 KB 
#pragma GCC optimize("Ofast,unroll-loops")
#include <bits/stdc++.h>
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define F first
#define S second
using namespace std;

int N, Q, sz[200005], pre[200005], vis[200005];
ll tot, sum, dp[200005], val[200005], ans[200005], sum1[200005];
vector<pair<int, pll>> E[200005];
vector<int> cur;
vector<pll> leaf;

void calcSz(int u)
{
    vis[u] = sz[u] = 1;
    cur.emplace_back(u);
    for (auto [v, p] : E[u])
        if (!vis[v])
        {
            pre[v] = u;
            calcSz(v);
            sz[u] += sz[v];
        }
}

void calcDP(int u, int r)
{
    vis[u] = 1;
    int mx = 0;
    for (auto [v, p] : E[u])
        if (!vis[v])
        {
            pre[v] = (r == 0 ? v : r);
            calcDP(v, (r == 0 ? v : r));
            val[dp[v]] += p.F;
            if (val[dp[v]] > val[mx])
                mx = dp[v];
        }
    dp[u] = (mx == 0 ? u : mx);
}

void centroid(int r)
{
    cur.clear();
    pre[r] = 0;
    calcSz(r);
    int c = 0;
    for (auto i : cur)
    {
        vis[i] = 0;
        bool b = (sz[r] - sz[i]) <= sz[r] / 2;
        for (auto [j, p] : E[i])
            if (j != pre[i] && !vis[j])
                b &= sz[j] <= sz[r] / 2;
        if (b)
            c = i;
    }
    // cerr << "centroid dec " << c << '\n';
    // for (auto i : cur)
    //     cout << i << ' ';
    // cout << '\n';
    tot = sum1[c];
    calcDP(c, 0);
    leaf.clear();
    for (auto i : cur)
    {
        vis[i] = 0;
        if (dp[i] == i)
        {
            leaf.emplace_back(pll(val[dp[i]], pre[i]));
            val[dp[i]] = 0;
        }
        pre[i] = 0;
        dp[i] = 0;
    }
    if (leaf.size() < 2)
        return;
    sort(leaf.begin(), leaf.end(), greater<>());
    bool f = 0;
    for (int i = 1; i < (int)leaf.size(); i++)
    {
        if (f)
            leaf[i - 1] = leaf[i];
        else if (leaf[i].S != leaf[0].S)
        {
            f = 1;
            tot += leaf[i].F;
        }
    }
    leaf.pop_back();
    for (int i = 0; i < (int)leaf.size(); i++)
    {
        tot += leaf[i].F;
        ans[i + 2] = max(ans[i + 2], tot);
    }
    
    vis[c] = 1;
    for (auto [i, p] : E[c])
        if (!vis[i])
            centroid(i);
}

void calc1(int u)
{
    dp[u] = 0;
    for (auto [v, p] : E[u])
        if (v != pre[u])
        {
            pre[v] = u;
            calc1(v);
            dp[u] += dp[v] + p.S;
        }
}

void calc1root(int u)
{
    ans[1] = max(ans[1], sum1[u] = dp[u]);
    for (auto [v, p] : E[u])
        if (v != pre[u])
        {
            dp[v] += dp[u] - dp[v] + p.F - p.S;
            calc1root(v);
        }
}

signed main()
{
    ios::sync_with_stdio(0);
    cin.tie(0), cout.tie(0);
    cin >> N;
    if(N == 2)
    {
        int A, B, C, D;
        cin >> A >> B >> C >> D;
        sum += C + D;
        ans[1] = max(C, D);
        ans[2] = C + D;
        goto ono;
    }
    for (int i = 1; i < N; i++)
    {
        int A, B, C, D;
        cin >> A >> B >> C >> D;
        sum += C + D;
        E[A].emplace_back(make_pair(B, pll(C, D)));
        E[B].emplace_back(make_pair(A, pll(D, C)));
    }
    calc1(1);
    calc1root(1);
    for (int i = 1; i <= N; i++)
        dp[i] = 0;
    centroid(1);
    for (int i = 1; i <= N; i++)
        ans[i] = max(ans[i], ans[i - 1]);
ono:
    cin >> Q;
    for (int i = 1; i <= Q; i++)
    {
        int E;
        cin >> E;
        cout << sum - ans[E] << '\n';
    }
}


/*
10
1 2 1 1
2 3 1 1
3 4 1 1
4 5 1 1
5 6 1 1
6 7 1 1
7 8 1 1
8 9 1 1
9 10 1 1
4
1
2
3
4
*/

Compilation message

designated_cities.cpp: In function 'void calcSz(int)':
designated_cities.cpp:20:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   20 |     for (auto [v, p] : E[u])
      |               ^
designated_cities.cpp: In function 'void calcDP(int, int)':
designated_cities.cpp:33:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   33 |     for (auto [v, p] : E[u])
      |               ^
designated_cities.cpp: In function 'void centroid(int)':
designated_cities.cpp:55:19: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   55 |         for (auto [j, p] : E[i])
      |                   ^
designated_cities.cpp:101:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  101 |     for (auto [i, p] : E[c])
      |               ^
designated_cities.cpp: In function 'void calc1(int)':
designated_cities.cpp:109:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  109 |     for (auto [v, p] : E[u])
      |               ^
designated_cities.cpp: In function 'void calc1root(int)':
designated_cities.cpp:121:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  121 |     for (auto [v, p] : E[u])
      |               ^

Subtask #1
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 5032 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 4 ms 4948 KB Output is correct
9 Correct 3 ms 5036 KB Output is correct
10 Correct 3 ms 5032 KB Output is correct
11 Correct 3 ms 5032 KB Output is correct

Subtask #2
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 879 ms 28912 KB Output is correct
3 Correct 1057 ms 40392 KB Output is correct
4 Correct 771 ms 28784 KB Output is correct
5 Correct 401 ms 29692 KB Output is correct
6 Correct 1010 ms 30860 KB Output is correct
7 Correct 302 ms 30276 KB Output is correct
8 Correct 1045 ms 41184 KB Output is correct
9 Correct 245 ms 32520 KB Output is correct

Subtask #3
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 4948 KB Output is correct
2 Correct 870 ms 29212 KB Output is correct
3 Correct 1109 ms 45668 KB Output is correct
4 Correct 863 ms 32028 KB Output is correct
5 Correct 407 ms 32844 KB Output is correct
6 Correct 1035 ms 34288 KB Output is correct
7 Correct 267 ms 35548 KB Output is correct
8 Correct 1151 ms 40104 KB Output is correct
9 Correct 209 ms 35740 KB Output is correct

Subtask #4
17.0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 5032 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 4 ms 4948 KB Output is correct
9 Correct 3 ms 5036 KB Output is correct
10 Correct 3 ms 5032 KB Output is correct
11 Correct 3 ms 5032 KB Output is correct
12 Correct 3 ms 4952 KB Output is correct
13 Correct 7 ms 5332 KB Output is correct
14 Correct 6 ms 5460 KB Output is correct
15 Correct 7 ms 5292 KB Output is correct
16 Correct 8 ms 5332 KB Output is correct
17 Correct 7 ms 5332 KB Output is correct
18 Correct 7 ms 5332 KB Output is correct
19 Correct 6 ms 5332 KB Output is correct
20 Correct 5 ms 5372 KB Output is correct
21 Correct 6 ms 5332 KB Output is correct
22 Correct 6 ms 5292 KB Output is correct
23 Correct 6 ms 5332 KB Output is correct
24 Correct 5 ms 5428 KB Output is correct
25 Correct 6 ms 5428 KB Output is correct
26 Correct 5 ms 5332 KB Output is correct

Subtask #5
17.0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 879 ms 28912 KB Output is correct
3 Correct 1057 ms 40392 KB Output is correct
4 Correct 771 ms 28784 KB Output is correct
5 Correct 401 ms 29692 KB Output is correct
6 Correct 1010 ms 30860 KB Output is correct
7 Correct 302 ms 30276 KB Output is correct
8 Correct 1045 ms 41184 KB Output is correct
9 Correct 245 ms 32520 KB Output is correct
10 Correct 4 ms 4948 KB Output is correct
11 Correct 870 ms 29212 KB Output is correct
12 Correct 1109 ms 45668 KB Output is correct
13 Correct 863 ms 32028 KB Output is correct
14 Correct 407 ms 32844 KB Output is correct
15 Correct 1035 ms 34288 KB Output is correct
16 Correct 267 ms 35548 KB Output is correct
17 Correct 1151 ms 40104 KB Output is correct
18 Correct 209 ms 35740 KB Output is correct
19 Correct 3 ms 4948 KB Output is correct
20 Correct 792 ms 31940 KB Output is correct
21 Correct 1032 ms 45824 KB Output is correct
22 Correct 878 ms 32040 KB Output is correct
23 Correct 888 ms 32288 KB Output is correct
24 Correct 891 ms 32412 KB Output is correct
25 Correct 899 ms 32300 KB Output is correct
26 Correct 851 ms 32300 KB Output is correct
27 Correct 367 ms 31956 KB Output is correct
28 Correct 984 ms 33948 KB Output is correct
29 Correct 847 ms 32364 KB Output is correct
30 Correct 711 ms 32908 KB Output is correct
31 Correct 276 ms 33676 KB Output is correct
32 Correct 1066 ms 43184 KB Output is correct
33 Correct 214 ms 35820 KB Output is correct

Subtask #6
44.0 / 44.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 5032 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 4 ms 4948 KB Output is correct
9 Correct 3 ms 5036 KB Output is correct
10 Correct 3 ms 5032 KB Output is correct
11 Correct 3 ms 5032 KB Output is correct
12 Correct 3 ms 4948 KB Output is correct
13 Correct 879 ms 28912 KB Output is correct
14 Correct 1057 ms 40392 KB Output is correct
15 Correct 771 ms 28784 KB Output is correct
16 Correct 401 ms 29692 KB Output is correct
17 Correct 1010 ms 30860 KB Output is correct
18 Correct 302 ms 30276 KB Output is correct
19 Correct 1045 ms 41184 KB Output is correct
20 Correct 245 ms 32520 KB Output is correct
21 Correct 4 ms 4948 KB Output is correct
22 Correct 870 ms 29212 KB Output is correct
23 Correct 1109 ms 45668 KB Output is correct
24 Correct 863 ms 32028 KB Output is correct
25 Correct 407 ms 32844 KB Output is correct
26 Correct 1035 ms 34288 KB Output is correct
27 Correct 267 ms 35548 KB Output is correct
28 Correct 1151 ms 40104 KB Output is correct
29 Correct 209 ms 35740 KB Output is correct
30 Correct 3 ms 4952 KB Output is correct
31 Correct 7 ms 5332 KB Output is correct
32 Correct 6 ms 5460 KB Output is correct
33 Correct 7 ms 5292 KB Output is correct
34 Correct 8 ms 5332 KB Output is correct
35 Correct 7 ms 5332 KB Output is correct
36 Correct 7 ms 5332 KB Output is correct
37 Correct 6 ms 5332 KB Output is correct
38 Correct 5 ms 5372 KB Output is correct
39 Correct 6 ms 5332 KB Output is correct
40 Correct 6 ms 5292 KB Output is correct
41 Correct 6 ms 5332 KB Output is correct
42 Correct 5 ms 5428 KB Output is correct
43 Correct 6 ms 5428 KB Output is correct
44 Correct 5 ms 5332 KB Output is correct
45 Correct 3 ms 4948 KB Output is correct
46 Correct 792 ms 31940 KB Output is correct
47 Correct 1032 ms 45824 KB Output is correct
48 Correct 878 ms 32040 KB Output is correct
49 Correct 888 ms 32288 KB Output is correct
50 Correct 891 ms 32412 KB Output is correct
51 Correct 899 ms 32300 KB Output is correct
52 Correct 851 ms 32300 KB Output is correct
53 Correct 367 ms 31956 KB Output is correct
54 Correct 984 ms 33948 KB Output is correct
55 Correct 847 ms 32364 KB Output is correct
56 Correct 711 ms 32908 KB Output is correct
57 Correct 276 ms 33676 KB Output is correct
58 Correct 1066 ms 43184 KB Output is correct
59 Correct 214 ms 35820 KB Output is correct
60 Correct 3 ms 4948 KB Output is correct
61 Correct 875 ms 35772 KB Output is correct
62 Correct 1091 ms 46416 KB Output is correct
63 Correct 796 ms 35880 KB Output is correct
64 Correct 775 ms 36136 KB Output is correct
65 Correct 758 ms 35908 KB Output is correct
66 Correct 885 ms 36128 KB Output is correct
67 Correct 946 ms 35868 KB Output is correct
68 Correct 417 ms 35996 KB Output is correct
69 Correct 989 ms 37592 KB Output is correct
70 Correct 850 ms 36128 KB Output is correct
71 Correct 690 ms 36780 KB Output is correct
72 Correct 337 ms 37952 KB Output is correct
73 Correct 1115 ms 42940 KB Output is correct
74 Correct 251 ms 41348 KB Output is correct