結果

問題 No.1341 真ん中を入れ替えて門松列
ユーザー hitonanodehitonanode
提出日時 2021-01-15 23:06:25
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 282 ms / 2,000 ms
コード長 10,921 bytes
コンパイル時間 2,767 ms
コンパイル使用メモリ 218,192 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-05-05 01:02:05
合計ジャッジ時間 5,169 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge4
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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 1 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 1 ms
5,376 KB
testcase_06 AC 3 ms
5,376 KB
testcase_07 AC 62 ms
5,376 KB
testcase_08 AC 3 ms
5,376 KB
testcase_09 AC 28 ms
5,376 KB
testcase_10 AC 218 ms
5,376 KB
testcase_11 AC 218 ms
5,376 KB
testcase_12 AC 180 ms
5,376 KB
testcase_13 AC 282 ms
5,376 KB
testcase_14 AC 276 ms
5,376 KB
testcase_15 AC 279 ms
5,376 KB
testcase_16 AC 276 ms
5,376 KB
testcase_17 AC 277 ms
5,376 KB
testcase_18 AC 84 ms
5,376 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 <bits/stdc++.h>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; }
template <typename T> bool chmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; }
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template <typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
template <typename T> vector<T> sort_unique(vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T, size_t sz> ostream &operator<<(ostream &os, const array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; }
#if __cplusplus >= 201703L
template <typename... T> istream &operator>>(istream &is, tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <typename... T> ostream &operator<<(ostream &os, const tuple<T...> &tpl) { std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os; }
#endif
template <typename T> ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T, typename TH> ostream &operator<<(ostream &os, const unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << '(' << pa.first << ',' << pa.second << ')'; return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <typename TK, typename TV, typename TH> ostream &operator<<(ostream &os, const unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << endl
#else
#define dbg(x) (x)
#endif

// MinCostFlow based on AtCoder Library, no namespace, no private variables, compatible with C++11
// Reference: <https://atcoder.github.io/ac-library/production/document_ja/mincostflow.html>
// **NO NEGATIVE COST EDGES**
template <class Cap, class Cost> struct mcf_graph {
    mcf_graph() {}
    mcf_graph(int n) : _n(n), g(n) {}

    int add_edge(int from, int to, Cap cap, Cost cost) {
        assert(0 <= from && from < _n);
        assert(0 <= to && to < _n);
        assert(0 <= cap);
        assert(0 <= cost);
        int m = int(pos.size());
        pos.push_back({from, int(g[from].size())});
        int from_id = int(g[from].size());
        int to_id = int(g[to].size());
        if (from == to) to_id++;
        g[from].push_back(_edge{to, to_id, cap, cost});
        g[to].push_back(_edge{from, from_id, 0, -cost});
        return m;
    }

    struct edge {
        int from, to;
        Cap cap, flow;
        Cost cost;
    };

    edge get_edge(int i) {
        int m = int(pos.size());
        assert(0 <= i && i < m);
        auto _e = g[pos[i].first][pos[i].second];
        auto _re = g[_e.to][_e.rev];
        return edge{
            pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
        };
    }
    std::vector<edge> edges() {
        int m = int(pos.size());
        std::vector<edge> result(m);
        for (int i = 0; i < m; i++) { result[i] = get_edge(i); }
        return result;
    }

    std::pair<Cap, Cost> flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
    std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) { return slope(s, t, flow_limit).back(); }
    std::vector<std::pair<Cap, Cost>> slope(int s, int t) { return slope(s, t, std::numeric_limits<Cap>::max()); }

    std::vector<Cost> dual, dist;
    std::vector<int> pv, pe;
    std::vector<bool> vis;
    struct Q {
        Cost key;
        int to;
        bool operator<(Q r) const { return key > r.key; }
    };
    std::vector<Q> que;
    bool _dual_ref(int s, int t) {
        std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
        std::fill(vis.begin(), vis.end(), false);
        que.clear();

        dist[s] = 0;
        que.push_back(Q{0, s});
        std::push_heap(que.begin(), que.end());
        while (!que.empty()) {
            int v = que.front().to;
            std::pop_heap(que.begin(), que.end());
            que.pop_back();
            if (vis[v]) continue;
            vis[v] = true;
            if (v == t) break;
            // dist[v] = shortest(s, v) + dual[s] - dual[v]
            // dist[v] >= 0 (all reduced cost are positive)
            // dist[v] <= (n-1)C
            for (int i = 0; i < int(g[v].size()); i++) {
                auto e = g[v][i];
                if (vis[e.to] || !e.cap) continue;
                // |-dual[e.to] + dual[v]| <= (n-1)C
                // cost <= C - -(n-1)C + 0 = nC
                Cost cost = e.cost - dual[e.to] + dual[v];
                if (dist[e.to] - dist[v] > cost) {
                    dist[e.to] = dist[v] + cost;
                    pv[e.to] = v;
                    pe[e.to] = i;
                    que.push_back(Q{dist[e.to], e.to});
                    std::push_heap(que.begin(), que.end());
                }
            }
        }
        if (!vis[t]) { return false; }

        for (int v = 0; v < _n; v++) {
            if (!vis[v]) continue;
            // dual[v] = dual[v] - dist[t] + dist[v]
            //         = dual[v] - (shortest(s, t) + dual[s] - dual[t]) + (shortest(s, v) + dual[s] - dual[v])
            //         = - shortest(s, t) + dual[t] + shortest(s, v)
            //         = shortest(s, v) - shortest(s, t) >= 0 - (n-1)C
            dual[v] -= dist[t] - dist[v];
        }
        return true;
    }

    std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
        assert(0 <= s && s < _n);
        assert(0 <= t && t < _n);
        assert(s != t);
        // variants (C = maxcost):
        // -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
        // reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
        dual.assign(_n, 0), dist.assign(_n, 0);
        pv.assign(_n, 0), pe.assign(_n, 0);
        vis.assign(_n, false);
        Cap flow = 0;
        Cost cost = 0, prev_cost_per_flow = -1;
        std::vector<std::pair<Cap, Cost>> result;
        result.push_back({flow, cost});
        while (flow < flow_limit) {
            if (!_dual_ref(s, t)) break;
            Cap c = flow_limit - flow;
            for (int v = t; v != s; v = pv[v]) { c = std::min(c, g[pv[v]][pe[v]].cap); }
            for (int v = t; v != s; v = pv[v]) {
                auto &e = g[pv[v]][pe[v]];
                e.cap -= c;
                g[v][e.rev].cap += c;
            }
            Cost d = -dual[s];
            flow += c;
            cost += c * d;
            if (prev_cost_per_flow == d) { result.pop_back(); }
            result.push_back({flow, cost});
            prev_cost_per_flow = d;
        }
        return result;
    }

    struct _edge {
        int to, rev;
        Cap cap;
        Cost cost;
    };

    int _n;
    std::vector<std::pair<int, int>> pos;
    std::vector<std::vector<_edge>> g;
};

void bad()
{
    puts("NO");
    exit(0);
}

int main() {
    int N;
    lint M;
    cin >> N >> M;
    vector<lint> B(N);
    vector<pint> AC;
    REP(i, N) {
        int a, c;
        cin >> a >> B[i] >> c;
        if (a > c) swap(a, c);
        AC.emplace_back(a, c);
    }

    sort(ALL(B));

    const auto z = sort_unique(B);

    vector<int> sh(N);
    REP(i, N) sh[i] = lower_bound(ALL(z), AC[i].first) - z.begin();

    lint ret = -1;

    vector<int> adds;
    vector<int> cnt(z.size() + 1);
    vector<int> used(N);

    auto try_to_solve = [&]() {
        lint tmp = 0;
        for (auto i : adds) tmp += AC[i].second;
        vector<int> bs, cs;
        FOR(i, adds.size(), N) bs.emplace_back(B[i]);
        REP(i, N) if (!used[i]) cs.emplace_back(AC[i].second);
        sort(ALL(cs));
        REP(i, bs.size()) if (bs[i] <= cs[i]) return;
        tmp += accumulate(bs.begin(), bs.end(), 0LL);
        chmax(ret, tmp);
    };

    REP(i, N) {
        try_to_solve();

        auto t = lower_bound(ALL(z), B[i]) - z.begin();
        REP(j, t + 1) cnt[j]++;

        int h = 0;
        while (cnt[h] > 0) h++;

        int amax = -1;
        REP(i, N) if (!used[i] and sh[i] >= h) {
            if (amax < 0 or AC[amax].second < AC[i].second) { amax = i; }
        }
        if (amax < 0) break;
        used[amax] = 1;
        REP(i, sh[amax]) cnt[i]--;
        adds.emplace_back(amax);
    }

    try_to_solve();

    if (ret < 0) bad();
    puts("YES");
    if (ret < M) bad();
    puts("KADOMATSU!");
}
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