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답안 #145868

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
145868 2019-08-21T08:43:54 Z darkkcyan Min-max tree (BOI18_minmaxtree) C++14
100 / 100
 489 ms 52344 KB 
#include <bits/stdc++.h>
using namespace std;
using namespace std::placeholders;

#define llong long long 
#define xx first
#define yy second
#define len(x) ((int)x.size())
#define rep(i,n) for (int i = -1; ++ i < n; )
#define rep1(i,n) for (int i = 0; i ++ < n; )
#define all(x) x.begin(), x.end()
// #define rand __rand
// mt19937 rng(chrono::system_clock::now().time_since_epoch().count());  // or mt19937_64
// template<class T = int> T rand(T range = numeric_limits<T>::max()) {
    // return (T)(rng() % range);
// }

#define maxn 70101
#define maxlg 18
int n, k;
vector<int> gr[maxn];
int queries[maxn];
int up[maxlg][maxn];
int depth[maxn];

void dfs(int u, int p) {
    up[0][u] = p;
    depth[u] = depth[p] + 1;
    rep(i, maxlg - 1) up[i + 1][u] = up[i][up[i][u]];
    for (auto v: gr[u]) {
        if (v == p) continue;
        dfs(v, u);
    }
}

int lca(int u, int v) {
    if (depth[u] < depth[v]) swap(u, v);
    for (int d = depth[u] - depth[v], i = 0; d > 0; d >>= 1, ++i)
        if (d & 1) u = up[i][u];
    if (u == v) return u;
    for (int i = maxlg; i--; ) {
        if (up[i][u] == up[i][v]) continue;
        u = up[i][u];
        v = up[i][v];
    }
    return up[0][u];
}

template<typename T> 
struct bin_lifting_ranges {
    T value[maxlg][maxn];
    function<T(T const&, T const&)> update_func;
    bin_lifting_ranges(const T& init_val, function<T(const T&, const T&)> const& fun)
        : update_func(fun)
    {
        rep(i, maxlg)   
            fill(value[i], value[i] + maxn, init_val);
    }

    void update(int u, int dst_depth, const T& new_value) {
        for (int i = 0, d = depth[u] - dst_depth; d > 0; d >>= 1, ++i) {
            if (~d & 1) continue;
            value[i][u] = update_func(value[i][u], new_value);
            u = up[i][u];
        }
    }

    void propagate() {
        for (int i = maxlg; --i > 0; ) {
            int f = i - 1;
            rep1(u, n) {
                int v = up[f][u];
                value[f][u] = update_func(value[f][u], value[i][u]);
                value[f][v] = update_func(value[f][v], value[i][u]);
            }
        }
    }

    T& operator[](int i) { return value[0][i]; }
};

bin_lifting_ranges<int>
    min_ranges(-1, [](int u, int v) {
        if (u == -1) return v; else if (v == -1) return u;
        return queries[u] > queries[v] ? u : v;
    }),
    max_ranges(-1, [](int u, int v) {
        if (u == -1) return v; else if (v == -1) return u;
        return queries[u] < queries[v] ? u : v;
    });

vector<int> affect_edges[maxn];
set<int> edge_cost[maxn];
bool used[maxn];
void assign_deg_1() {
    queue<int> qu;
    auto push = [&](int cost) {
        if (used[cost]) return ;
        used[cost] = 1;
        qu.push(cost);
    };
    rep1(i, n) if (len(edge_cost[i]) == 1) {
        push(*edge_cost[i].begin());
    }
    for (; len(qu); qu.pop()) {
        int cost = qu.front();
        for (auto v: affect_edges[cost]) {
            if (len(edge_cost[v]) == 1) assert(edge_cost[v].count(cost));
            if (len(edge_cost[v]) < 2) continue;
            edge_cost[v].erase(cost);
            push(*edge_cost[v].begin());
        }
    }
}

set<pair<int, int>> new_gr[maxn];
bool assigned[maxn] = {0};
void assign_deg_2() {
    rep1(i, n) {
        if (len(edge_cost[i]) < 2) continue;
        int u = *edge_cost[i].begin(), v = *edge_cost[i].rbegin();
        new_gr[u].insert({v, i});
        new_gr[v].insert({u, i});
    }
    set<pair<int, int>> prio;
    rep(i, k) {
        prio.insert({len(new_gr[i]), i});
    }

    while (len(prio)) {
        int u = prio.begin()->yy;
        prio.erase(prio.begin());
        assigned[u] = 1;
        auto t = *new_gr[u].begin();
        edge_cost[t.yy].erase(t.xx);
        if (assigned[t.xx]) continue;
        prio.erase({len(new_gr[t.xx]), t.xx});
        new_gr[t.xx].erase({u, t.yy});
        prio.insert({len(new_gr[t.xx]), t.xx});
    }
}

int main(void) {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    cin >> n;
    rep(i, n - 1) {
        int u, v; cin >> u >> v;
        gr[u].push_back(v);
        gr[v].push_back(u);
    }

    dfs(1, 1);
    cin >> k;
    rep(i, k) {
        char type; int u, v;
        cin >> type >> u >> v >> queries[i];
        int d = depth[lca(u, v)];
        auto& ranges = type == 'm' ? min_ranges : max_ranges;
        ranges.update(u, d, i);
        ranges.update(v, d, i);
    }

    min_ranges.propagate();
    max_ranges.propagate();

    rep1(i, n) {
        for (auto x: {min_ranges[i], max_ranges[i]}) {
            if (x == -1) continue;
            affect_edges[x].push_back(i);
            edge_cost[i].insert(x);
        }
    }

    assign_deg_1();
    assign_deg_2();
    rep1(i, n) {
        if (up[0][i] == i) continue;
        cout << i << ' ' << up[0][i] << ' ';
        // assert(len(edge_cost[i]) != 2);
        if (len(edge_cost[i]) == 0) cout << "0\n";
        else cout << queries[*edge_cost[i].begin()] << '\n';
    }

    return 0;
}

Subtask #1
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 19 ms 20216 KB Output is correct
2 Correct 19 ms 20216 KB Output is correct
3 Correct 22 ms 20216 KB Output is correct
4 Correct 20 ms 20216 KB Output is correct

Subtask #2
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 206 ms 42424 KB Output is correct
2 Correct 192 ms 40168 KB Output is correct
3 Correct 222 ms 40336 KB Output is correct
4 Correct 258 ms 42944 KB Output is correct
5 Correct 222 ms 40312 KB Output is correct
6 Correct 252 ms 40920 KB Output is correct
7 Correct 201 ms 40272 KB Output is correct

Subtask #3
29.0 / 29.0

# 결과 실행 시간 메모리 Grader output
1 Correct 158 ms 34600 KB Output is correct
2 Correct 159 ms 34928 KB Output is correct
3 Correct 145 ms 35320 KB Output is correct
4 Correct 189 ms 36216 KB Output is correct
5 Correct 185 ms 35704 KB Output is correct
6 Correct 163 ms 36344 KB Output is correct
7 Correct 202 ms 35624 KB Output is correct
8 Correct 154 ms 35320 KB Output is correct

Subtask #4
42.0 / 42.0

# 결과 실행 시간 메모리 Grader output
1 Correct 19 ms 20216 KB Output is correct
2 Correct 19 ms 20216 KB Output is correct
3 Correct 22 ms 20216 KB Output is correct
4 Correct 20 ms 20216 KB Output is correct
5 Correct 206 ms 42424 KB Output is correct
6 Correct 192 ms 40168 KB Output is correct
7 Correct 222 ms 40336 KB Output is correct
8 Correct 258 ms 42944 KB Output is correct
9 Correct 222 ms 40312 KB Output is correct
10 Correct 252 ms 40920 KB Output is correct
11 Correct 201 ms 40272 KB Output is correct
12 Correct 158 ms 34600 KB Output is correct
13 Correct 159 ms 34928 KB Output is correct
14 Correct 145 ms 35320 KB Output is correct
15 Correct 189 ms 36216 KB Output is correct
16 Correct 185 ms 35704 KB Output is correct
17 Correct 163 ms 36344 KB Output is correct
18 Correct 202 ms 35624 KB Output is correct
19 Correct 154 ms 35320 KB Output is correct
20 Correct 263 ms 41220 KB Output is correct
21 Correct 189 ms 38984 KB Output is correct
22 Correct 202 ms 39040 KB Output is correct
23 Correct 220 ms 39256 KB Output is correct
24 Correct 400 ms 52344 KB Output is correct
25 Correct 366 ms 51372 KB Output is correct
26 Correct 444 ms 50080 KB Output is correct
27 Correct 489 ms 51960 KB Output is correct
28 Correct 261 ms 43896 KB Output is correct
29 Correct 283 ms 44408 KB Output is correct
30 Correct 254 ms 41464 KB Output is correct
31 Correct 258 ms 41848 KB Output is correct
32 Correct 266 ms 43560 KB Output is correct
33 Correct 251 ms 42620 KB Output is correct
34 Correct 253 ms 42588 KB Output is correct
35 Correct 243 ms 41528 KB Output is correct