結果

問題 No.2337 Equidistant
ユーザー だれだれ
提出日時 2023-06-02 22:05:15
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,217 ms / 4,000 ms
コード長 7,886 bytes
コンパイル時間 3,843 ms
コンパイル使用メモリ 195,716 KB
実行使用メモリ 51,712 KB
最終ジャッジ日時 2024-06-08 23:14:21
合計ジャッジ時間 15,961 ms
ジャッジサーバーID
(参考情報)
judge3 / judge4
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 4 ms
5,376 KB
testcase_07 AC 3 ms
5,376 KB
testcase_08 AC 4 ms
5,376 KB
testcase_09 AC 4 ms
5,376 KB
testcase_10 AC 4 ms
5,376 KB
testcase_11 AC 489 ms
39,472 KB
testcase_12 AC 459 ms
39,516 KB
testcase_13 AC 491 ms
39,512 KB
testcase_14 AC 496 ms
39,592 KB
testcase_15 AC 466 ms
39,436 KB
testcase_16 AC 455 ms
39,488 KB
testcase_17 AC 470 ms
39,656 KB
testcase_18 AC 501 ms
39,552 KB
testcase_19 AC 484 ms
39,536 KB
testcase_20 AC 489 ms
39,548 KB
testcase_21 AC 743 ms
51,712 KB
testcase_22 AC 327 ms
40,860 KB
testcase_23 AC 376 ms
40,636 KB
testcase_24 AC 1,067 ms
47,588 KB
testcase_25 AC 382 ms
40,704 KB
testcase_26 AC 1,217 ms
47,412 KB
testcase_27 AC 388 ms
40,576 KB
testcase_28 AC 417 ms
40,576 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#include <algorithm>
#include <bitset>
#include <cassert>
#include <cmath>
#include <cstdio>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <unordered_set>
using namespace std;
#if __has_include(<atcoder/all>)
#include <atcoder/all>
#endif
#define GET_MACRO(_1, _2, _3, NAME, ...) NAME
#define _rep(i, n) _rep2(i, 0, n)
#define _rep2(i, a, b) for (int i = (int)(a); i < (int)(b); i++)
#define rep(...) GET_MACRO(__VA_ARGS__, _rep2, _rep)(__VA_ARGS__)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define UNIQUE(x)                      \
    std::sort((x).begin(), (x).end()); \
    (x).erase(std::unique((x).begin(), (x).end()), (x).end())
using i64 = long long;
template <class T, class U>
bool chmin(T& a, const U& b) {
    return (b < a) ? (a = b, true) : false;
}
template <class T, class U>
bool chmax(T& a, const U& b) {
    return (b > a) ? (a = b, true) : false;
}
inline void YesNo(bool f = 0, string yes = "Yes", string no = "No") {
    std::cout << (f ? yes : no) << "\n";
}
namespace io {
template <typename T>
istream& operator>>(istream& i, vector<T>& v) {
    rep(j, v.size()) i >> v[j];
    return i;
}
template <typename T>
string join(vector<T>& v) {
    stringstream s;
    rep(i, v.size()) s << ' ' << v[i];
    return s.str().substr(1);
}
template <typename T>
ostream& operator<<(ostream& o, vector<T>& v) {
    if (v.size()) o << join(v);
    return o;
}
template <typename T>
string join(vector<vector<T>>& vv) {
    string s = "\n";
    rep(i, vv.size()) s += join(vv[i]) + "\n";
    return s;
}
template <typename T>
ostream& operator<<(ostream& o, vector<vector<T>>& vv) {
    if (vv.size()) o << join(vv);
    return o;
}

template <class T, class U>
istream& operator>>(istream& i, pair<T, U>& p) {
    i >> p.first >> p.second;
    return i;
}

template <class T, class U>
ostream& operator<<(ostream& o, pair<T, U>& p) {
    o << p.first << " " << p.second;
    return o;
}

void print() { cout << "\n"; }

template <class Head, class... Tail>
void print(Head&& head, Tail&&... tail) {
    cout << head;
    if (sizeof...(tail)) cout << ' ';
    print(std::forward<Tail>(tail)...);
}

void in() {}

template <class Head, class... Tail>
void in(Head&& head, Tail&&... tail) {
    cin >> head;
    in(std::forward<Tail>(tail)...);
}

}  // namespace io
using namespace io;

namespace useful {
long long modpow(long long a, long long b, long long mod) {
    long long res = 1;
    while (b) {
        if (b & 1) res *= a, res %= mod;
        a *= a;
        a %= mod;
        b >>= 1;
    }
    return res;
}

bool is_pow2(long long x) { return x > 0 && (x & (x - 1)) == 0; }

template <class T>
void rearrange(vector<T>& a, vector<int>& p) {
    vector<T> b = a;
    for (int i = 0; i < int(a.size()); i++) {
        a[i] = b[p[i]];
    }
    return;
}

template <class T>
vector<pair<int, int>> rle_sequence(T& a) {
    vector<pair<int, int>> res;
    int n = a.size();
    if (n == 1) return vector<pair<int, int>>{{a[0], 1}};
    int l = 1;
    rep(i, n - 1) {
        if (a[i] == a[i + 1])
            l++;
        else {
            res.emplace_back(a[i], l);
            l = 1;
        }
    }
    res.emplace_back(a.back(), l);
    return res;
}

vector<pair<char, int>> rle_string(string a) {
    vector<pair<char, int>> res;
    int n = a.size();
    if (n == 1) return vector<pair<char, int>>{{a[0], 1}};
    int l = 1;
    rep(i, n - 1) {
        if (a[i] == a[i + 1])
            l++;
        else {
            res.emplace_back(a[i], l);
            l = 1;
        }
    }
    res.emplace_back(a.back(), l);
    return res;
}

vector<int> linear_sieve(int n) {
    vector<int> primes;
    vector<int> res(n + 1);
    iota(all(res), 0);
    for (int i = 2; i <= n; i++) {
        if (res[i] == i) primes.emplace_back(i);
        for (auto j : primes) {
            if (j * i > n) break;
            res[j * i] = j;
        }
    }
    return res;
    // return primes;
}

template <class T>
vector<long long> dijkstra(vector<vector<pair<int, T>>>& graph, int start) {
    int n = graph.size();
    vector<long long> res(n, 2e18);
    res[start] = 0;
    priority_queue<pair<long long, int>, vector<pair<long long, int>>,
                   greater<pair<long long, int>>>
        que;
    que.push({0, start});
    while (!que.empty()) {
        auto [c, v] = que.top();
        que.pop();
        if (res[v] < c) continue;
        for (auto [nxt, cost] : graph[v]) {
            auto x = c + cost;
            if (x < res[nxt]) {
                res[nxt] = x;
                que.push({x, nxt});
            }
        }
    }
    return res;
}

}  // namespace useful
using namespace useful;

struct LowestCommonAncestor {
    using G = vector<vector<int>>;

   private:
    const G& graph;
    const int n;
    vector<int> depth;
    vector<vector<int>> table;
    const int log = 20;

    inline void bfs(int st) {
        depth[st] = 0;
        queue<int> que;
        que.emplace(st);
        while (!que.empty()) {
            auto now = que.front();
            que.pop();
            for (auto e : graph[now]) {
                if (depth[e] != -1) continue;
                depth[e] = depth[now] + 1;
                table[e][0] = now;
                que.emplace(e);
            }
        }
    }

   public:
    LowestCommonAncestor(const G& g, int root = 0) : graph(g), n(g.size()) {
        depth = vector<int>(n, -1);
        table = vector(n, vector<int>(log, -1));
        bfs(root);
        for (int k = 0; k < log - 1; k++) {
            for (int i = 0; i < n; i++) {
                if (table[i][k] == -1)
                    table[i][k + 1] = -1;
                else
                    table[i][k + 1] = table[table[i][k]][k];
            }
        }
    }

    int LCA(int a, int b) {
        if (depth[a] < depth[b]) swap(a, b);
        for (int i = log - 1; i >= 0; i--) {
            if ((depth[a] - depth[b]) >> i & 1) a = table[a][i];
        }
        if (a == b) return a;
        for (int i = log - 1; i >= 0; i--) {
            if (table[a][i] != table[b][i]) {
                a = table[a][i];
                b = table[b][i];
            }
        }
        return table[a][0];
    }

    int distance(int u, int v) {
        return depth[u] + depth[v] - 2 * depth[LCA(u, v)];
    }

    int la(int x, int k) {
        for (int i = 0; i < log; i++) {
            if (k >> i & 1) {
                x = table[x][i];
            }
        }
        return x;
    }
};

vector<vector<int>> e;
int c_sz[200010];

int dfs(int now, int p) {
    c_sz[now] = 1;
    for (auto j : e[now]) {
        if (j == p) continue;
        c_sz[now] += dfs(j, now);
    }
    return c_sz[now];
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int n, q;
    in(n, q);
    e.resize(n);
    rep(i, n - 1) {
        int a, b;
        in(a, b);
        a--, b--;
        e[a].emplace_back(b);
        e[b].emplace_back(a);
    }
    LowestCommonAncestor lca(e);
    dfs(0, -1);
    while (q--) {
        int s, t;
        in(s, t);
        s--, t--;
        auto l = lca.LCA(s, t);
        auto ds = lca.distance(l, s);
        auto dt = lca.distance(l, t);
        if ((ds & 1) != (dt & 1)) {
            print(0);
            continue;
        }
        if (ds < dt) {
            swap(s, t);
            swap(ds, dt);
        }
        if (ds == dt) {
            auto ss = lca.la(s, ds - 1);
            auto tt = lca.la(t, dt - 1);
            print(n - c_sz[ss] - c_sz[tt]);
            continue;
        }
        int b = (ds - dt) / 2;
        int dcenter = ds - b;
        int center = lca.la(s, dcenter);
        int cen_to_s = lca.la(s, dcenter - 1);
        print(c_sz[center] - c_sz[cen_to_s]);
    }
}
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