답안 #561802

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
561802 2022-05-13T14:25:46 Z piOOE 도로 폐쇄 (APIO21_roads) C++17
5 / 100
207 ms 45912 KB
#include "roads.h"

#include <bits/stdc++.h>

using namespace std;

#define all(x) begin(x), end(x)

typedef long long ll;

struct fenwick {
    vector<ll> t;
    int n;

    fenwick() = default;

    fenwick(int x) {
        n = x + 1;
        t.assign(n, 0);
    }

    void init(int x) {
        n = x + 1;
        t.assign(n, 0);
    }

    void add(int i, int x) {
        i += 1;
        for (; i < n; i += i & -i)
            t[i] += x;
    }

    ll get(int i) {
        ll ans = 0;
        i += 1;
        for (; i > 0; i -= i & -i)
            ans += t[i];
        return ans;
    }


    int kth(int k) {
        if (k == 0) return -1;
        int i = 0;
        for (int j = 18; j > -1; --j) {
            if (i + (1 << j) < n && t[i + (1 << j)] < k) {
                i += (1 << j);
                k -= t[i];
            }
        }
        return i;
    }
};

const int N = 100001;
int A[N], B[N], W[N], n, par[N], sz[N], wp[N], depth[N];
vector<pair<int, int>> g[N], gr[N];
fenwick f1[N], f2[N];
bool used[N];
ll dp[2][N], sm[N];

vector<ll> minimum_closure_costs(int nn, vector<int> uu, vector<int> vv, vector<int> ww) {
    n = nn;
    for (int i = 0; i < n - 1; ++i) {
        A[i] = uu[i], B[i] = vv[i], W[i] = ww[i];
        gr[A[i]].emplace_back(-W[i], B[i]);
        gr[B[i]].emplace_back(-W[i], A[i]);
    }
    for (int i = 0; i < n; ++i) {
        sort(all(gr[i]));
        sz[i] = (int) size(gr[i]);
        f1[i].init(sz[i]);
        f2[i].init(sz[i]);
    }
    vector<int> ord(n);
    iota(all(ord), 0);
    sort(all(ord), [](int i, int j) {
        return sz[i] > sz[j];
    });
    function<void(int, int, int)> prec = [&prec](int v, int p, int wep){
        par[v] = p;
        wp[v] = wep;
        for (auto [w, to] : gr[v]) {
            if (to != p) {
                depth[to] = depth[v] + 1;
                prec(to, v, -w);
            }
        }
    };
    vector<ll> ans(n);
    prec(0, -1, 0);
    for (int k = 0; k < n; ++k) {
        vector<int> now;
        for (int i : ord) {
            if (sz[i] < k) break;
            if (sz[i] == k) {
                for (auto [w, to] : gr[i]) {
                    if (sz[to] <= sz[i]) continue;
                    int id = lower_bound(all(gr[to]), make_pair(w, i)) - begin(gr[to]);
                    f1[to].add(id, 1);
                    f2[to].add(id, -w);
                    sm[to] += -w;
                }
                continue;
            }
            now.push_back(i);
            used[i] = true;
        }
        for (int x : now) {
            if (par[x] != -1 && used[par[x]]) {
                g[par[x]].emplace_back(x, wp[x]);
            }
        }
        for (int x : now) used[x] = false;
        function<void(int, int)> dfs = [&](int v, int p) {
            used[v] = true;
            vector<pair<int, int>> adj;
            for (auto [to, w] : g[v]) {
                if (to != p) {
                    dfs(to, v);
                    adj.emplace_back(to, w);
                }
            }
            vector<ll> nw;
            ll sum = 0;
            for (auto [to, w] : adj) {
                nw.push_back(dp[1][to] - dp[0][to] - w);
                sum += dp[0][to] + w;
            }
            sort(all(nw));
            const ll infL = 3e18;
            dp[1][v] = dp[0][v] = infL;
            for (int take = 0; take <= min(k, (int)size(nw)); ++take) {
                if (take) {
                    sum += nw[take - 1];
                }
                if (take < k && k) {
                    int id = f1[v].kth(k - take - 1);
                    ll added = sm[v] - f2[v].get(id);
                    dp[1][v] = min(dp[1][v], sum + added);
                }
                int id = f1[v].kth(k - take);
                ll added = sm[v] - f2[v].get(id);
                dp[0][v] = min(dp[0][v], sum + added);
            }
            dp[0][v] = min(dp[0][v], dp[1][v]);
        };
        sort(all(now), [](int i, int j) {
            return depth[i] < depth[j];
        });
        for (int v : now) {
            if (!used[v]) {
                dfs(v, -1);
                assert(dp[0][v] != (ll)3e18);
                ans[k] += dp[0][v];
            }
        }
        for (int v : now) {
            used[v] = false;
            g[v].clear();
        }
    }
    return ans;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 11220 KB Output is correct
2 Correct 8 ms 11772 KB Output is correct
3 Correct 10 ms 11732 KB Output is correct
4 Correct 8 ms 11792 KB Output is correct
5 Correct 7 ms 11348 KB Output is correct
6 Correct 7 ms 11348 KB Output is correct
7 Correct 6 ms 11348 KB Output is correct
8 Correct 7 ms 11732 KB Output is correct
9 Correct 10 ms 11796 KB Output is correct
10 Correct 8 ms 11272 KB Output is correct
11 Correct 6 ms 11348 KB Output is correct
12 Correct 75 ms 25304 KB Output is correct
13 Correct 123 ms 34636 KB Output is correct
14 Correct 126 ms 32208 KB Output is correct
15 Correct 152 ms 34388 KB Output is correct
16 Correct 142 ms 34660 KB Output is correct
17 Correct 119 ms 34636 KB Output is correct
18 Correct 7 ms 11220 KB Output is correct
19 Correct 105 ms 32616 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 11324 KB Output is correct
2 Incorrect 110 ms 45912 KB Output isn't correct
3 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 11220 KB Output is correct
2 Correct 8 ms 11328 KB Output is correct
3 Correct 7 ms 11220 KB Output is correct
4 Incorrect 6 ms 11348 KB Output isn't correct
5 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 11220 KB Output is correct
2 Correct 8 ms 11328 KB Output is correct
3 Correct 7 ms 11220 KB Output is correct
4 Incorrect 6 ms 11348 KB Output isn't correct
5 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Incorrect 207 ms 32824 KB Output isn't correct
2 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Incorrect 207 ms 32824 KB Output isn't correct
2 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 11220 KB Output is correct
2 Correct 8 ms 11772 KB Output is correct
3 Correct 10 ms 11732 KB Output is correct
4 Correct 8 ms 11792 KB Output is correct
5 Correct 7 ms 11348 KB Output is correct
6 Correct 7 ms 11348 KB Output is correct
7 Correct 6 ms 11348 KB Output is correct
8 Correct 7 ms 11732 KB Output is correct
9 Correct 10 ms 11796 KB Output is correct
10 Correct 8 ms 11272 KB Output is correct
11 Correct 6 ms 11348 KB Output is correct
12 Correct 75 ms 25304 KB Output is correct
13 Correct 123 ms 34636 KB Output is correct
14 Correct 126 ms 32208 KB Output is correct
15 Correct 152 ms 34388 KB Output is correct
16 Correct 142 ms 34660 KB Output is correct
17 Correct 119 ms 34636 KB Output is correct
18 Correct 7 ms 11220 KB Output is correct
19 Correct 105 ms 32616 KB Output is correct
20 Correct 7 ms 11324 KB Output is correct
21 Incorrect 110 ms 45912 KB Output isn't correct
22 Halted 0 ms 0 KB -