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답안 #1109683

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1109683 2024-11-07T10:07:56 Z _callmelucian Designated Cities (JOI19_designated_cities) C++14
39 / 100
 2000 ms 62792 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pl;
typedef pair<int,int> pii;
typedef tuple<int,int,int> tpl;

#define all(a) a.begin(), a.end()
#define filter(a) a.erase(unique(all(a)), a.end())

const int mn = 2e5 + 5;

struct IT {
    vector<pl> tr;
    vector<ll> lazy;

    IT (int sz) : tr(4 * sz), lazy(4 * sz) {}

    void apply (int k, ll val) {
        tr[k].first += val, lazy[k] += val;
    }

    void pushDown (int k) {
        if (lazy[k])
            apply(2 * k, lazy[k]), apply(2 * k + 1, lazy[k]), lazy[k] = 0;
    }

    void build (int k, int l, int r, vector<pl> &a) {
        if (l == r)
            return tr[k] = a[l], void();
        int mid = (l + r) >> 1;
        build(2 * k, l, mid, a);
        build(2 * k + 1, mid + 1, r, a);
        tr[k] = max(tr[2 * k], tr[2 * k + 1]);
    }

    void update (int a, int b, ll val, int k, int l, int r) {
        if (b < l || r < a) return;
        if (l == r)
            return apply(k, val), void();
        pushDown(k);
        int mid = (l + r) >> 1;
        update(a, b, val, 2 * k, l, mid);
        update(a, b, val, 2 * k + 1, mid + 1, r);
        tr[k] = max(tr[2 * k], tr[2 * k + 1]);
    }

    pl getBest() { return tr[1]; }
};

vector<tpl> adj[mn];
ll ans[mn], n;

namespace originalTree {
    int bestLeaf[mn], secLeaf[mn];
    ll downPath[mn], upPath[mn], sumDown;

    void dfs (int u, int p, ll pA, ll pH) {
        // construct costs on paths
        downPath[u] = downPath[p] + pA;
        upPath[u] = upPath[p] + pH;
        bestLeaf[u] = u;

        // run dfs down
        for (tpl item : adj[u]) {
            int v, away, home; tie(v, away, home) = item;
            if (v == p) continue;
            dfs(v, u, away, home);

            sumDown += away;
            if (downPath[bestLeaf[v]] > downPath[bestLeaf[u]])
                secLeaf[u] = bestLeaf[u], bestLeaf[u] = bestLeaf[v];
            else if (downPath[bestLeaf[v]] > downPath[secLeaf[u]]) secLeaf[u] = bestLeaf[v];
        }
    }

    ll tryNode (int u) {
        ll pathOne = downPath[bestLeaf[u]] - (bestLeaf[u] ? downPath[u] : 0);
        ll pathTwo = downPath[secLeaf[u]] - (secLeaf[u] ? downPath[u] : 0);
        return sumDown - pathOne - pathTwo - downPath[u] + upPath[u];
    }

    ll chooseNode (int u) {
        return sumDown - downPath[u] + upPath[u];
    }
}

namespace modifiedTree {
    int num[mn], sz[mn], up[mn], toP[mn], timeDfs;
    bool colored[mn];
    ll weight[mn];
    IT tree(mn);

    bool dfs (int u, int p, int y, int w) {
        num[u] = ++timeDfs, sz[u] = 1, up[u] = p, toP[u] = w;
        if (u == y) colored[u] = 1;

        for (tpl item : adj[u]) {
            int v, away, home; tie(v, away, home) = item;
            if (v == p) continue;
            if (dfs(v, u, y, away)) colored[u] = 1;
            sz[u] += sz[v];
        }
        return colored[u];
    }

    void buildTree() {
        vector<pl> a(n + 1);
        for (int i = 1; i <= n; i++)
            a[num[i]] = make_pair(0, i);
        for (int i = 1; i <= n; i++) {
            int u = a[i].second;
            if (!colored[u])
                a[i].first = weight[u] = weight[up[u]] + toP[u];
        }
        tree.build(1, 1, n, a);
    }

    void colorNode (int u) {
        while (!colored[u]) {
            tree.update(num[u], num[u] + sz[u] - 1, -toP[u], 1, 1, n);
            colored[u] = 1, u = up[u];
        }
    }
};

int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);

    cin >> n;
    for (int i = 1; i < n; i++) {
        int a, b, c, d; cin >> a >> b >> c >> d;
        adj[a].emplace_back(b, c, d);
        adj[b].emplace_back(a, d, c);
    }
    originalTree::dfs(1, 1, 0, 0);

    for (int i = 1; i <= n; i++) ans[i] = LLONG_MAX;

    int optX = 0, optY = 0;
    for (int i = 1; i <= n; i++) {
        ll cur = originalTree::tryNode(i);
        if (cur < ans[2])
            ans[2] = cur, optX = originalTree::bestLeaf[i], optY = originalTree::secLeaf[i];

        ans[1] = min(ans[1], originalTree::chooseNode(i));
    }
    modifiedTree::dfs(optX, optX, optY, 0);
    modifiedTree::buildTree();

    bool leafLeft = 1;
    for (int i = 3; i <= n; i++) {
        if (leafLeft) {
            ll delta; int node; tie(delta, node) = modifiedTree::tree.getBest();
            ans[i] = ans[i - 1] - delta;

            if (!delta) leafLeft = 0;
            modifiedTree::colorNode(node);
        }
        else ans[i] = ans[i - 1];
    }

    int q; cin >> q;
    while (q--) {
        int E; cin >> E;
        cout << ans[E] << "\n";
    }

    return 0;
}

Subtask #1
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 28752 KB Output is correct
2 Correct 5 ms 28752 KB Output is correct
3 Correct 5 ms 28752 KB Output is correct
4 Correct 5 ms 28752 KB Output is correct
5 Correct 5 ms 28752 KB Output is correct
6 Correct 5 ms 28752 KB Output is correct
7 Correct 5 ms 28752 KB Output is correct
8 Correct 5 ms 28752 KB Output is correct
9 Correct 5 ms 28752 KB Output is correct
10 Correct 5 ms 28624 KB Output is correct
11 Correct 6 ms 28752 KB Output is correct

Subtask #2
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 28752 KB Output is correct
2 Correct 264 ms 46252 KB Output is correct
3 Correct 127 ms 58552 KB Output is correct
4 Correct 583 ms 49060 KB Output is correct
5 Correct 191 ms 49388 KB Output is correct
6 Correct 265 ms 51600 KB Output is correct
7 Correct 224 ms 46084 KB Output is correct
8 Correct 160 ms 62792 KB Output is correct
9 Correct 164 ms 46072 KB Output is correct

Subtask #3
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 28752 KB Output is correct
2 Correct 344 ms 46408 KB Output is correct
3 Correct 157 ms 58440 KB Output is correct
4 Correct 535 ms 46152 KB Output is correct
5 Correct 200 ms 46080 KB Output is correct
6 Correct 183 ms 48892 KB Output is correct
7 Correct 187 ms 46384 KB Output is correct
8 Correct 173 ms 55592 KB Output is correct
9 Correct 173 ms 46096 KB Output is correct

Subtask #4
17.0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 28752 KB Output is correct
2 Correct 5 ms 28752 KB Output is correct
3 Correct 5 ms 28752 KB Output is correct
4 Correct 5 ms 28752 KB Output is correct
5 Correct 5 ms 28752 KB Output is correct
6 Correct 5 ms 28752 KB Output is correct
7 Correct 5 ms 28752 KB Output is correct
8 Correct 5 ms 28752 KB Output is correct
9 Correct 5 ms 28752 KB Output is correct
10 Correct 5 ms 28624 KB Output is correct
11 Correct 6 ms 28752 KB Output is correct
12 Correct 5 ms 28752 KB Output is correct
13 Correct 7 ms 29008 KB Output is correct
14 Correct 7 ms 28860 KB Output is correct
15 Correct 10 ms 28752 KB Output is correct
16 Correct 7 ms 29008 KB Output is correct
17 Correct 8 ms 29008 KB Output is correct
18 Correct 7 ms 28752 KB Output is correct
19 Correct 7 ms 28752 KB Output is correct
20 Correct 7 ms 29176 KB Output is correct
21 Correct 7 ms 29008 KB Output is correct
22 Correct 7 ms 28752 KB Output is correct
23 Correct 7 ms 28752 KB Output is correct
24 Correct 7 ms 29008 KB Output is correct
25 Correct 7 ms 29008 KB Output is correct
26 Correct 7 ms 26960 KB Output is correct

Subtask #5
0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 28752 KB Output is correct
2 Correct 264 ms 46252 KB Output is correct
3 Correct 127 ms 58552 KB Output is correct
4 Correct 583 ms 49060 KB Output is correct
5 Correct 191 ms 49388 KB Output is correct
6 Correct 265 ms 51600 KB Output is correct
7 Correct 224 ms 46084 KB Output is correct
8 Correct 160 ms 62792 KB Output is correct
9 Correct 164 ms 46072 KB Output is correct
10 Correct 6 ms 28752 KB Output is correct
11 Correct 344 ms 46408 KB Output is correct
12 Correct 157 ms 58440 KB Output is correct
13 Correct 535 ms 46152 KB Output is correct
14 Correct 200 ms 46080 KB Output is correct
15 Correct 183 ms 48892 KB Output is correct
16 Correct 187 ms 46384 KB Output is correct
17 Correct 173 ms 55592 KB Output is correct
18 Correct 173 ms 46096 KB Output is correct
19 Correct 5 ms 28752 KB Output is correct
20 Correct 298 ms 46408 KB Output is correct
21 Correct 145 ms 58452 KB Output is correct
22 Correct 613 ms 46156 KB Output is correct
23 Correct 319 ms 46408 KB Output is correct
24 Correct 524 ms 46152 KB Output is correct
25 Correct 305 ms 46408 KB Output is correct
26 Correct 621 ms 46288 KB Output is correct
27 Correct 202 ms 46212 KB Output is correct
28 Correct 209 ms 48464 KB Output is correct
29 Execution timed out 2058 ms 46256 KB Time limit exceeded
30 Halted 0 ms 0 KB -

Subtask #6
0 / 44.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 28752 KB Output is correct
2 Correct 5 ms 28752 KB Output is correct
3 Correct 5 ms 28752 KB Output is correct
4 Correct 5 ms 28752 KB Output is correct
5 Correct 5 ms 28752 KB Output is correct
6 Correct 5 ms 28752 KB Output is correct
7 Correct 5 ms 28752 KB Output is correct
8 Correct 5 ms 28752 KB Output is correct
9 Correct 5 ms 28752 KB Output is correct
10 Correct 5 ms 28624 KB Output is correct
11 Correct 6 ms 28752 KB Output is correct
12 Correct 5 ms 28752 KB Output is correct
13 Correct 264 ms 46252 KB Output is correct
14 Correct 127 ms 58552 KB Output is correct
15 Correct 583 ms 49060 KB Output is correct
16 Correct 191 ms 49388 KB Output is correct
17 Correct 265 ms 51600 KB Output is correct
18 Correct 224 ms 46084 KB Output is correct
19 Correct 160 ms 62792 KB Output is correct
20 Correct 164 ms 46072 KB Output is correct
21 Correct 6 ms 28752 KB Output is correct
22 Correct 344 ms 46408 KB Output is correct
23 Correct 157 ms 58440 KB Output is correct
24 Correct 535 ms 46152 KB Output is correct
25 Correct 200 ms 46080 KB Output is correct
26 Correct 183 ms 48892 KB Output is correct
27 Correct 187 ms 46384 KB Output is correct
28 Correct 173 ms 55592 KB Output is correct
29 Correct 173 ms 46096 KB Output is correct
30 Correct 5 ms 28752 KB Output is correct
31 Correct 7 ms 29008 KB Output is correct
32 Correct 7 ms 28860 KB Output is correct
33 Correct 10 ms 28752 KB Output is correct
34 Correct 7 ms 29008 KB Output is correct
35 Correct 8 ms 29008 KB Output is correct
36 Correct 7 ms 28752 KB Output is correct
37 Correct 7 ms 28752 KB Output is correct
38 Correct 7 ms 29176 KB Output is correct
39 Correct 7 ms 29008 KB Output is correct
40 Correct 7 ms 28752 KB Output is correct
41 Correct 7 ms 28752 KB Output is correct
42 Correct 7 ms 29008 KB Output is correct
43 Correct 7 ms 29008 KB Output is correct
44 Correct 7 ms 26960 KB Output is correct
45 Correct 5 ms 28752 KB Output is correct
46 Correct 298 ms 46408 KB Output is correct
47 Correct 145 ms 58452 KB Output is correct
48 Correct 613 ms 46156 KB Output is correct
49 Correct 319 ms 46408 KB Output is correct
50 Correct 524 ms 46152 KB Output is correct
51 Correct 305 ms 46408 KB Output is correct
52 Correct 621 ms 46288 KB Output is correct
53 Correct 202 ms 46212 KB Output is correct
54 Correct 209 ms 48464 KB Output is correct
55 Execution timed out 2058 ms 46256 KB Time limit exceeded
56 Halted 0 ms 0 KB -