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답안 #794899

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
794899 2023-07-27T02:11:43 Z PurpleCrayon Designated Cities (JOI19_designated_cities) C++17
30 / 100
 2000 ms 40752 KB 
#include <bits/stdc++.h>
using namespace std;

#define sz(v) int(v.size())
#define ar array
typedef long long ll;
const int N = 2e5+10, MOD = 1e9+7;
const ll INF = 1e18+10;

int n;
vector<ar<int, 3>> adj[N];
ll ans[N];

ll calc_one(int c, int p) {
    ll sum = 0;
    for (auto [nxt, w, _] : adj[c]) if (nxt != p) {
        sum += w + calc_one(nxt, c);
    }
    return sum;
}

void dfs1(int c, int p, ll x) {
    ans[1] = min(ans[1], x);
    for (auto [nxt, a, b] : adj[c]) if (nxt != p) {
        dfs1(nxt, c, x - a + b);
    }
}

int sub[N];
bool blocked[N];

int dfs_sub(int c, int p) {
    sub[c] = 1;
    for (auto [nxt, x, y] : adj[c]) if (nxt != p && !blocked[nxt]) {
        sub[c] += dfs_sub(nxt, c);
    }

    return sub[c];
}

int dfs_cent(int c, int p, int cnt) {
    for (auto [nxt, x, y] : adj[c]) if (nxt != p && !blocked[nxt] && sub[nxt] > cnt / 2)
        return dfs_cent(nxt, c, cnt);

    return c;
}

pair<ll, int> dfs_best(int c, int p, ll x) {
    pair<ll, int> best{x, c};
    for (auto [nxt, w, _] : adj[c]) if (!blocked[nxt] && nxt != p) {
        best = max(best, dfs_best(nxt, c, x + w));
    }

    return best;
}

vector<int> roots;
int process(int c) {
    roots.push_back(c); // can't hurt, and probably useful

    ll best_w = -1;
    int best_nxt = -1, best_c = -1;

    for (auto [nxt, w, _] : adj[c]) if (!blocked[nxt]) {
        auto cur = dfs_best(nxt, c, w);
        if (cur.first > best_w) {
            best_w = cur.first;
            best_nxt = nxt;
            best_c = cur.second;
        }
    }

    if (best_c != -1) {
        roots.push_back(best_c);
    }
    return best_nxt;
}

void build(int c) {
    if (c == -1) return;
    int cnt = dfs_sub(c, -1);
    int cent = dfs_cent(c, -1, cnt);

    int nxt = process(cent);
    blocked[cent] = 1;
    build(nxt);
}


int par[N], par_w[N];
ll sum[N];
bool marked[N];

void dfs_root(int c, int p) {
    par[c] = p;
    for (auto [nxt, w, _] : adj[c]) if (nxt != p) {
        par_w[nxt] = w;
        sum[nxt] = sum[c] + w;
        dfs_root(nxt, c);
    }
}

void add(int root) {
    sum[root] = par_w[root] = 0;
    dfs_root(root, -1);

    auto get_cost = [&](vector<int> p) {
        memset(marked, 0, sizeof(marked));
        vector<ll> cost(n);
        for (int c : p) {
            int cur = c;
            while (cur != -1 && !marked[cur]) {
                marked[cur] = 1;
                cost[c] += par_w[cur];
                cur = par[cur];
            }
        }
        return cost;
    };

    vector<int> p(n); iota(p.begin(), p.end(), 0);
    sort(p.begin(), p.end(), [&](int x, int y) {
        return sum[x] > sum[y];
    });
    auto base_cost = get_cost(p);

    sort(p.begin(), p.end(), [&](int x, int y) {
        return base_cost[x] > base_cost[y];
    });
    auto real_cost = get_cost(p);

    ll cur = accumulate(par_w, par_w + n, 0LL);
    sort(real_cost.rbegin(), real_cost.rend());

    int cnt = 1;
    for (ll x : real_cost) {
        cur -= x;
        cnt++;

        ans[cnt] = min(ans[cnt], cur);
    }

    assert(cur == 0);
}

void solve() {
    cin >> n;
    for (int i = 0; i < n-1; i++) {
        int a, b; cin >> a >> b, --a, --b;
        int x, y; cin >> x >> y;
        adj[a].push_back({b, x, y});
        adj[b].push_back({a, y, x});
    }

    fill(ans, ans + n, INF);
    ll cost_one = calc_one(0, -1);
    dfs1(0, -1, cost_one);

    build(0);
    assert(sz(roots) <= 40);
    sort(roots.begin(), roots.end());
    roots.resize(unique(roots.begin(), roots.end()) - roots.begin());
    for (int c : roots) add(c);

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

int main() {
    ios::sync_with_stdio(false); cin.tie(0);
    int T = 1;
    // cin >> T;
    while (T--) solve();
}

Subtask #1
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 2 ms 5204 KB Output is correct
3 Correct 2 ms 5204 KB Output is correct
4 Correct 3 ms 5156 KB Output is correct
5 Correct 3 ms 5204 KB Output is correct
6 Correct 3 ms 5204 KB Output is correct
7 Correct 2 ms 5204 KB Output is correct
8 Correct 3 ms 5204 KB Output is correct
9 Correct 2 ms 5204 KB Output is correct
10 Correct 2 ms 5204 KB Output is correct
11 Correct 3 ms 5144 KB Output is correct

Subtask #2
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 1432 ms 23728 KB Output is correct
3 Correct 1999 ms 40752 KB Output is correct
4 Correct 864 ms 28668 KB Output is correct
5 Correct 609 ms 30064 KB Output is correct
6 Correct 1719 ms 31540 KB Output is correct
7 Correct 405 ms 29900 KB Output is correct
8 Correct 1838 ms 40244 KB Output is correct
9 Correct 188 ms 30584 KB Output is correct

Subtask #3
0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 1636 ms 23672 KB Output is correct
3 Correct 1830 ms 40628 KB Output is correct
4 Correct 975 ms 28692 KB Output is correct
5 Correct 826 ms 29996 KB Output is correct
6 Correct 1727 ms 32208 KB Output is correct
7 Correct 348 ms 30160 KB Output is correct
8 Execution timed out 2094 ms 37440 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #4
17.0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 2 ms 5204 KB Output is correct
3 Correct 2 ms 5204 KB Output is correct
4 Correct 3 ms 5156 KB Output is correct
5 Correct 3 ms 5204 KB Output is correct
6 Correct 3 ms 5204 KB Output is correct
7 Correct 2 ms 5204 KB Output is correct
8 Correct 3 ms 5204 KB Output is correct
9 Correct 2 ms 5204 KB Output is correct
10 Correct 2 ms 5204 KB Output is correct
11 Correct 3 ms 5144 KB Output is correct
12 Correct 2 ms 5204 KB Output is correct
13 Correct 6 ms 5332 KB Output is correct
14 Correct 6 ms 5420 KB Output is correct
15 Correct 7 ms 5332 KB Output is correct
16 Correct 8 ms 5412 KB Output is correct
17 Correct 6 ms 5376 KB Output is correct
18 Correct 7 ms 5332 KB Output is correct
19 Correct 5 ms 5324 KB Output is correct
20 Correct 5 ms 5440 KB Output is correct
21 Correct 7 ms 5332 KB Output is correct
22 Correct 6 ms 5436 KB Output is correct
23 Correct 4 ms 5452 KB Output is correct
24 Correct 4 ms 5460 KB Output is correct
25 Correct 7 ms 5468 KB Output is correct
26 Correct 4 ms 5460 KB Output is correct

Subtask #5
0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 1432 ms 23728 KB Output is correct
3 Correct 1999 ms 40752 KB Output is correct
4 Correct 864 ms 28668 KB Output is correct
5 Correct 609 ms 30064 KB Output is correct
6 Correct 1719 ms 31540 KB Output is correct
7 Correct 405 ms 29900 KB Output is correct
8 Correct 1838 ms 40244 KB Output is correct
9 Correct 188 ms 30584 KB Output is correct
10 Correct 2 ms 5204 KB Output is correct
11 Correct 1636 ms 23672 KB Output is correct
12 Correct 1830 ms 40628 KB Output is correct
13 Correct 975 ms 28692 KB Output is correct
14 Correct 826 ms 29996 KB Output is correct
15 Correct 1727 ms 32208 KB Output is correct
16 Correct 348 ms 30160 KB Output is correct
17 Execution timed out 2094 ms 37440 KB Time limit exceeded
18 Halted 0 ms 0 KB -

Subtask #6
0 / 44.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 2 ms 5204 KB Output is correct
3 Correct 2 ms 5204 KB Output is correct
4 Correct 3 ms 5156 KB Output is correct
5 Correct 3 ms 5204 KB Output is correct
6 Correct 3 ms 5204 KB Output is correct
7 Correct 2 ms 5204 KB Output is correct
8 Correct 3 ms 5204 KB Output is correct
9 Correct 2 ms 5204 KB Output is correct
10 Correct 2 ms 5204 KB Output is correct
11 Correct 3 ms 5144 KB Output is correct
12 Correct 2 ms 5204 KB Output is correct
13 Correct 1432 ms 23728 KB Output is correct
14 Correct 1999 ms 40752 KB Output is correct
15 Correct 864 ms 28668 KB Output is correct
16 Correct 609 ms 30064 KB Output is correct
17 Correct 1719 ms 31540 KB Output is correct
18 Correct 405 ms 29900 KB Output is correct
19 Correct 1838 ms 40244 KB Output is correct
20 Correct 188 ms 30584 KB Output is correct
21 Correct 2 ms 5204 KB Output is correct
22 Correct 1636 ms 23672 KB Output is correct
23 Correct 1830 ms 40628 KB Output is correct
24 Correct 975 ms 28692 KB Output is correct
25 Correct 826 ms 29996 KB Output is correct
26 Correct 1727 ms 32208 KB Output is correct
27 Correct 348 ms 30160 KB Output is correct
28 Execution timed out 2094 ms 37440 KB Time limit exceeded
29 Halted 0 ms 0 KB -