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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#91548#6127. Kawa ExamLucinaTL 3ms13744kbC++176.0kb2023-03-29 03:19:392023-03-29 03:19:41

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-29 03:19:41]
  • 评测
  • 测评结果:TL
  • 用时:3ms
  • 内存:13744kb
  • [2023-03-29 03:19:39]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
const int nax = 1e5 + 10;
int M;
int n, m;
int a[nax];
array <int, 2> e[nax];
int ans[nax];
int cnt_all[nax];
vector <int> g[nax];
int timer;
int tin[nax];
int low[nax];
vector <int> com;
vector <int> component[nax];
vector <array <int, 2>> tree[nax];
bool is_bridge[nax];
int cur_com = 0;
vector <int> bridges;
int ANS;
int ans_comp[nax];

int get_other(int e_id, int u) {
    return e[e_id][0] ^ e[e_id][1] ^ u;
}

array <int, 2> cnt[nax];
int col[nax];
bool vis[nax];
bool vis2[nax];
vector <int> found;

struct Counting {
    map <int, int> setik_sub;
    int max_freq_sub;
    int last_unused;

    map <int, int> setik_outer;
    map <int, int> keep_freq;

    Counting(int last_unused) : max_freq_sub(0), last_unused(last_unused) {}

    void add(int k, int v) {
        max_freq_sub = max(max_freq_sub, (setik_sub[k] += v));
        if (setik_outer.find(k) == setik_outer.end()) {
            setik_outer[k] = cnt_all[k];
            keep_freq[cnt_all[k]] += 1;
        }
        auto it = setik_outer.find(k);
        keep_freq[it->second] -= 1;
        it->second -= v;
        keep_freq[it->second] += 1;
    }

    int update_unused() {
        while (last_unused >= 0 && setik_sub.find(cnt[last_unused][0]) != setik_sub.end()) {
            last_unused -= 1;
        }
        if (last_unused >= 0) {
            return cnt[last_unused][1];
        }
        while (!keep_freq.empty()) {
            auto it = --keep_freq.end();
            if (it->second == 0) keep_freq.erase(it);
        }
        return 0;
    }

    int size() {
        return setik_sub.size();
    }

    int get_ans() {
        return max_freq_sub + max(keep_freq.rbegin()->second, update_unused());
    }
};

using P = Counting*;


void clear_all() {
    timer = 0;
    fill(vis, vis + 1 + n, false);
    fill(vis2, vis2 + 1 + n, false);
    cur_com = 1;
    fill(is_bridge, is_bridge + 1 + m, false);
    fill(ans, ans + 1 + m, 0);

    for (int i = 1 ; i <= n ; ++ i) {
        g[i].clear();
        component[i].clear();
    }
    com.clear();
    bridges.clear();
}

void dfs(int v, int from_edge) {
    vis[v] = true;
    low[v] = tin[v] = ++timer;
    found.push_back(v);
    for (auto e_id : g[v]) {
        if (e_id == from_edge) continue;
        int to = get_other(e_id, v);
        if (!vis[to]) {
            dfs(to, e_id);
            low[v] = min(low[v], low[to]);
            if (low[to] > tin[v]) {
                is_bridge[e_id] = true;
                bridges.push_back(e_id);
            }
        } else {
            low[v] = min(low[v], tin[to]);
        }
    }
}

void dfs_assign(int v, int c) {
    vis2[v] = true;
    col[v] = c;
    component[col[v]].push_back(v);
    for (int e_id : g[v]) {
        if (!is_bridge[e_id]) {
            int to = get_other(e_id, v);
            if (!vis2[to]) dfs_assign(to, c);
        }
    }
}

Counting* merge_counting(Counting *x, Counting* y) {
    if (x->size() < y->size()) swap(x, y);
    for (auto [k, v] : y->setik_sub) {
        x->add(k, v);
    }
    delete y;
    return x;
}

Counting* dfs_answer(int v, int from_edge) {
    Counting *cur = new Counting(M - 1);
    for (int i : component[v]) {
        cur->add(a[i], 1);
    }
    for (auto [to, e_id] : tree[v]) {
        if (e_id == from_edge) continue;
        Counting *res = dfs_answer(to, e_id);
        cur = merge_counting(cur, res);
    }
    if (from_edge > 0) {
        ans[from_edge] += cur->get_ans();
    }
    return cur;
}

void solve_tree() {
    cur_com = 0;
    int large_comp = 0;
    ANS = 0;
    vector <int> all_bridges;
    for (int i = 1 ; i <= n ; ++ i) {
        if (vis[i]) continue;
        large_comp += 1;
        bridges.clear();
        found.clear();
        dfs(i, 0);
        M = 0;
        vector <int> c;
        for (int j : found) c.push_back(a[j]), cnt_all[a[j]] += 1;
        sort(begin(c), end(c));
        for (int i = 0 ; i < size(c);) {
            int j = i;
            while (j < size(c) && c[j] == c[i]) j += 1;
            cnt[M++] = {c[i], j - i};
            i = j;
        }
        sort(cnt, cnt + M, [](auto &x, auto &y) {
            return x[1] < y[1];
        });
        ans_comp[large_comp] = cnt[M - 1][1];
        ANS += ans_comp[large_comp];
        cur_com = 0;
        for (int z : found) {
            if (vis2[z]) continue;
            cur_com += 1;
            dfs_assign(z, cur_com);
        }


        for (int e_id : bridges) {
            auto [u, v] = e[e_id];
            u = col[u], v = col[v];
            tree[u].push_back({v, e_id});
            tree[v].push_back({u, e_id});
            ans[e_id] = -ans_comp[large_comp];
            all_bridges.push_back(e_id);
        }
        Counting * s = dfs_answer(1, 0);
        delete s;

        for (int i = 1 ; i <= cur_com ; ++ i) {
            tree[i].clear();
            component[i].clear();
        }
        for (int j : found) {
            cnt_all[a[j]] = 0;
        }
    }
    for (int i = 1 ; i <= m ; ++ i) {
        ans[i] += ANS;
    }
}

void read() {
    cin >> n >> m;
    for (int i = 1 ; i <= n ; ++ i) {
        cin >> a[i];
        com.push_back(a[i]);
    }
    sort(begin(com), end(com));
    com.erase(unique(begin(com), end(com)), end(com));
    for (int i = 1 ; i <= n ; ++ i) {
        a[i] = lower_bound(begin(com), end(com), a[i]) - begin(com) + 1;
    }

    for (int i = 1 ; i <= m ; ++ i) {
        auto &[u, v] = e[i];
        cin >> u >> v;
        g[u].push_back(i);
        g[v].push_back(i);
    }

}

void solve() {
    read();
    solve_tree();

    for (int i = 1 ; i <= m ; ++ i) {
        if (i > 1) cout << ' ';
        cout << ans[i];
    }
    cout << '\n';

    clear_all();
}

int32_t main() {
    int T = 1;
    cin.tie(0)->sync_with_stdio(false);

    for (cin >> T ; T -- ;) {
        solve();
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 3ms
memory: 13744kb

input:

3
7 5
1 2 1 2 1 2 1
1 2
1 3
2 4
5 6
5 7
3 3
1 2 3
1 2
1 3
2 3
2 3
12345 54321
1 2
1 2
1 1

output:

6 5 5 5 4
1 1 1
1 1 1

result:

ok 3 lines

Test #2:

score: -100
Time Limit Exceeded

input:

5557
2 7
79960 79960
2 2
1 1
1 1
2 2
1 1
2 1
1 2
9 8
21881 70740 70740 21881 22458 22458 639 21881 70740
3 3
1 6
5 8
7 5
5 7
2 3
5 1
7 6
6 7
13064 20716 6746 13064 6746 69225
5 5
4 1
4 1
1 6
4 5
3 2
3 2
8 4
45146 14400 45146 45146 14400 72969 14400 45146
8 6
1 3
4 6
8 3
18 13
48132 37949 92338 92338...

output:


result: