#661473 (C++17) No.1523 +/- Tree

提出ソース

結果

問題	No.1523 +/- Tree
ユーザー	haruki_K
提出日時	2021-05-28 22:10:03
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	3 ms / 2,000 ms
コード長	10,546 bytes
コンパイル時間	2,446 ms
コンパイル使用メモリ	222,792 KB
実行使用メモリ	5,248 KB
最終ジャッジ日時	2024-11-07 10:46:11
合計ジャッジ時間	4,523 ms
ジャッジサーバーID （参考情報）	judge5 / judge1

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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 5,248 KB
testcase_02	AC	2 ms 5,248 KB
testcase_03	AC	2 ms 5,248 KB
testcase_04	AC	2 ms 5,248 KB
testcase_05	AC	2 ms 5,248 KB
testcase_06	AC	2 ms 5,248 KB
testcase_07	AC	2 ms 5,248 KB
testcase_08	AC	2 ms 5,248 KB
testcase_09	AC	2 ms 5,248 KB
testcase_10	AC	2 ms 5,248 KB
testcase_11	AC	2 ms 5,248 KB
testcase_12	AC	3 ms 5,248 KB
testcase_13	AC	2 ms 5,248 KB
testcase_14	AC	2 ms 5,248 KB
testcase_15	AC	2 ms 5,248 KB
testcase_16	AC	2 ms 5,248 KB
testcase_17	AC	2 ms 5,248 KB
testcase_18	AC	2 ms 5,248 KB
testcase_19	AC	2 ms 5,248 KB
testcase_20	AC	2 ms 5,248 KB
testcase_21	AC	2 ms 5,248 KB
testcase_22	AC	2 ms 5,248 KB
testcase_23	AC	2 ms 5,248 KB
testcase_24	AC	2 ms 5,248 KB
testcase_25	AC	2 ms 5,248 KB
testcase_26	AC	2 ms 5,248 KB
testcase_27	AC	2 ms 5,248 KB
testcase_28	AC	3 ms 5,248 KB
testcase_29	AC	2 ms 5,248 KB
testcase_30	AC	2 ms 5,248 KB
testcase_31	AC	2 ms 5,248 KB
testcase_32	AC	2 ms 5,248 KB
testcase_33	AC	2 ms 5,248 KB
testcase_34	AC	2 ms 5,248 KB
testcase_35	AC	2 ms 5,248 KB
testcase_36	AC	2 ms 5,248 KB
testcase_37	AC	2 ms 5,248 KB
testcase_38	AC	2 ms 5,248 KB
testcase_39	AC	2 ms 5,248 KB
testcase_40	AC	2 ms 5,248 KB
testcase_41	AC	2 ms 5,248 KB
testcase_42	AC	2 ms 5,248 KB
testcase_43	AC	2 ms 5,248 KB
testcase_44	AC	2 ms 5,248 KB
testcase_45	AC	2 ms 5,248 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

raw source code

// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
#define int ll
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)
#define repR(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i, n) for (int i = (int)(n); i >= 1; i--)
#define loop(i, a, B) for (int i = a; i B; i++)
#define loopR(i, a, B) for (int i = a; i B; i--)
#define all(x) begin(x), end(x)
#define allR(x) rbegin(x), rend(x)
#define rng(x, l, r) begin(x) + (l), begin(x) + (r)
#define pb push_back
#define eb emplace_back
#define fst first
#define snd second
template <class A, class B> constexpr auto mp(A &&a, B &&b) { return make_pair(forward<A>(a), forward<B>(b)); }
template <class... T> constexpr auto mt(T&&... x) { return make_tuple(forward<T>(x)...); }
template <class Int> auto constexpr inf_ = numeric_limits<Int>::max()/2-1;
auto constexpr INF32 = inf_<int32_t>;
auto constexpr INF64 = inf_<int64_t>;
auto constexpr INF   = inf_<int>;
#ifdef LOCAL
#include "debug.hpp"
#else
#define dump(...) (void)(0)
#define say(x) (void)(0)
#define debug if (0)
#endif
template <class T, class Comp> struct pque : priority_queue<T, vector<T>, Comp> { vector<T> &data() { return this->c; } void clear() { this->c.clear(); } };
template <class T> using pque_max = pque<T, less<T>>;
template <class T> using pque_min = pque<T, greater<T>>;
template <class T, class = typename T::iterator, enable_if_t<!is_same<T, string>::value, int> = 0>
ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, size_t N, enable_if_t<!is_same<T, char>::value, int> = 0>
ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = decltype(begin(declval<T&>())), class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; }
template <class T, class S> ostream& operator<<(ostream& os, pair<T, S> const& p) { return os << p.first << " " << p.second; }
template <class T, class S> istream& operator>>(istream& is, pair<T, S>& p) { return is >> p.first >> p.second; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
    constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
    template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint { template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); } };
#define MFP MakeFixPoint()|
#define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
    using type = vector<typename vec_impl<T, d-1>::type>;
    template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T, d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T, 0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T, d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T, d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << endl; exit(0); }
template <class T, class U> constexpr bool chmin(T& x, U const& y) { if (x > (T)y) { x = (T)y; return true; } return false; }
template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < (T)y) { x = (T)y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits<It>::value_type{}); }
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); }
template <class C, class T> int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); }
constexpr int64_t mod(int64_t x, int64_t m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; }
constexpr int64_t div_floor(int64_t x, int64_t y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); }
constexpr int64_t div_ceil(int64_t x, int64_t y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); }
constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 };
constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 };
constexpr int popcnt(ll x) { return __builtin_popcountll(x); }
mt19937_64 seed_{random_device{}()};
template <class Int> Int rand(Int a, Int b) { return uniform_int_distribution<Int>(a, b)(seed_); }
i64 irand(i64 a, i64 b) { return rand<i64>(a, b); } // [a, b]
u64 urand(u64 a, u64 b) { return rand<u64>(a, b); } //
template <class It> void shuffle(It l, It r) { shuffle(l, r, seed_); }
template <class T> vector<T> &operator--(vector<T> &v) { for (T &x : v) --x; return v; }
template <class T> vector<T> &operator++(vector<T> &v) { for (T &x : v) ++x; return v; }
// <<<
// >>> LCA (RMQ)
#ifndef EDGE_INFO
#define EDGE_INFO
constexpr int dest(int v) { return v; }
template <class E, class = decltype(declval<E>().to)>
constexpr int dest(E const& e) { return e.to; }
constexpr int cost(int) { return 1; }
template <class E, class = decltype(declval<E>().cost)>
constexpr auto cost(E const& e) { return e.cost; }
template <class E> using cost_t = decltype(cost(declval<E>()));
#endif

namespace RMQ {
// >>> DST
template <class Handler>
struct DST : Handler {
    using Value = typename Handler::Value;
    using Handler::unit; // () -> Value
    using Handler::merge; // (Value, Value) -> Value
    static constexpr int bsr(int32_t x) { return x ? 31-__builtin_clz(x) : -1; }

    vector<vector<Value>> v;
    DST() {}
    template <class... T> DST(T&&... x) { build(forward<T>(x)...); }
    void build(int n) { build(n, unit()); }
    void build(int n, Value const& x) { build(n, [&](int) { return x; }); }
    void build(vector<Value> const& v) { build(v.size(), [&](int i) { return v[i]; }); }
    template <class F, class = decltype(declval<F>()(0))>
    void build(int n, F gen)  {
        assert(n >= 0);
        v.resize(1);
        v[0].resize(n, unit());
        for (int i = 0; i < n; i++) v[0][i] = gen(i);
        if (n <= 1) return;
        const int lg = __lg(2*n-1);
        v.resize(lg, vector<Value>(n, unit()));
        for (int h = 1; h < lg; ++h) {
            const int w = 1<<h;
            for (int b = w; b < n; b += (w<<1)) {
                Value x = unit();
                for (int j = b-1; j >= b-w; --j) {
                    v[h][j] = x = merge(v[0][j], x);
                }
                x = unit();
                for (int j = b; j < min(n, b+w); ++j) {
                    v[h][j] = x = merge(x, v[0][j]);
                }
            }
        }
    }
    int size() const { return v.empty() ? 0 : v[0].size(); }
    Value get(int l, int r) const {
        assert(0 <= l); assert(l <= r); assert(r <= size());
        if (l == r) return unit();
        --r;
        if (l == r) return v[0][l];
        const int h = bsr(l^r);
        return merge(v[h][l], v[h][r]);
    }
    Value operator[](int idx) const {
        assert(0 <= idx); assert(idx < size());
        return v[0][idx];
    }
};
// <<<
struct Min {
    using Value = pair<int32_t, int32_t>;
    static constexpr auto inf = numeric_limits<int32_t>::max();
    constexpr static Value unit() { return { inf, inf }; }
    constexpr static Value merge(Value const& x, Value const& y) { return min(x, y); }
};
using RMQ = DST<Min>;
}

template <class E, class RMQ = RMQ::RMQ> struct LCA {
    vector<vector<E>> const* g;
    int32_t n, root;
    vector<int32_t> id;
    vector<cost_t<E>> d;
    RMQ rmq;
    LCA() {}
    LCA(vector<vector<E>> const* g, int root)
        : g(g), n(g->size()), root(root), id(n), d(n) {
        vector<pair<int32_t, int32_t>> a;
        a.reserve(n-1);
        auto dfs = [&](auto dfs, int x, int p, int d0, cost_t<E> d1) -> void {
            id[x] = a.size();
            d[x] = d1;
            for (auto const& e : (*g)[x]) {
                if (dest(e) == p) continue;
                a.emplace_back(d0, x);
                dfs(dfs, dest(e), x, d0 + 1, d1 + cost(e));
            }
        };
        dfs(dfs, root, -1, 0, 0);
        rmq = RMQ(a);
    }
    cost_t<E> dep(int a) const { return d[a]; }
    int operator()(int a, int b) const { return lca(a, b); }
    int lca(int a, int b) const {
        if (a == b) return a;
        if (id[a] > id[b]) swap(a, b);
        return rmq.get(id[a], id[b]).second;
    }
    cost_t<E> dist(int a, int b) const { return d[a] + d[b] - 2*d[lca(a, b)]; }
};


template <class E>
auto get_lca(vector<vector<E>> const& g, int root = 0) {
    return LCA<E, RMQ::RMQ>(&g, root);
}
// <<<

int32_t main() {
    int n, k; cin >> n >> k;

    if (k == n-1) quit("No");
    if (k == 1) quit("No");
    if (k == 2 and n % 2 == 1) quit("No");
    cout << "Yes" << '\n';

    vector<tuple<int, int, int>> es;

    if (k == 2) {
        rep (i, n-1) {
            int w = (i % 2 == 0 ? n-2 : -(n-1));
            es.eb(i, i+1, w);
        }
    } else if (k == 3) {
        if (n == 5) {
            es.eb(0, 1, +3);
            es.eb(1, 2, -2);
            es.eb(2, 3, -2);
            es.eb(3, 4, +3);
        } else {
            es.eb(0, 1, +1);
            es.eb(1, 2, -3);
            es.eb(2, 3, +1);
            loop (x, 4, < n) {
                es.eb(2, x, +1);
            }
        }
    } else {
        rep (x, k) es.eb(x, x+1, -1);
        loop (x, k+1, < n) {
            es.eb(2, x, n);
        }
    }

    for (auto [x, y, w] : es) {
        cout << x+1 << " " << y+1 << " " << w << '\n';
    }

    debug {
        struct edge { int to, cost; };
        vector<vector<edge>> g(n), wg(n);
        int sum = 0;
        for (auto [x, y, w] : es) {
            sum += w;
            g[x].pb({y, 1});
            g[y].pb({x, 1});
            wg[x].pb({y, w});
            wg[y].pb({x, w});
        }
        assert(sum > 0);

        auto g_lca = get_lca(g);
        auto wg_lca = get_lca(wg);
        bool found = false;
        rep (y, n) rep (x, y) if (g_lca.dist(x, y) == k) {
            found = true;
            assert(wg_lca.dist(x, y) < 0);
        }
        assert(found);
    }



}

yukicoder

結果

テストケース

ソースコード