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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#83929#5504. Flower Gardenskittles1412WA 19598ms305208kbC++177.7kb2023-03-04 13:36:512023-03-04 13:36:52

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.
  • [2023-03-04 13:36:52]
  • 评测
  • 测评结果:WA
  • 用时:19598ms
  • 内存:305208kb
  • [2023-03-04 13:36:51]
  • 提交

answer

#include "bits/extc++.h"

using namespace std;

template <typename T>
void dbgh(const T& t) {
    cerr << t << endl;
}

template <typename T, typename... U>
void dbgh(const T& t, const U&... u) {
    cerr << t << " | ";
    dbgh(u...);
}

#ifdef DEBUG
#define dbg(...)                                           \
    cerr << "L" << __LINE__ << " [" << #__VA_ARGS__ << "]" \
         << ": ";                                          \
    dbgh(__VA_ARGS__)
#else
#define cerr   \
    if (false) \
    cerr
#define dbg(...)
#endif

#define endl "\n"
#define long int64_t
#define sz(x) int(std::size(x))

template <typename T>
ostream& operator<<(ostream& out, const vector<T>& arr) {
    out << "[";
    for (int i = 0; i < sz(arr); i++) {
        if (i) {
            out << " ";
        }
        out << arr[i];
    }
    return out << "]";
}

struct N {
    int u;

    friend ostream& operator<<(ostream& out, const N& n) {
        if (n.u < 0) {
            return out << "!" << (~n.u);
        }
        return out << " " << n.u;
    }
};

void rassert(bool b) {
    if (!b) {
        cout << (new int[5])[10];
    }
}

struct ST {
    int n;
    vector<int> v;

    ST(int n) : n(n), v(4 * n) {}

    template <typename Cb1, typename Cb2>
    void build(int o, int l, int r, const Cb1& cb1, const Cb2& cb2) {
        if (l == r) {
            v[o] = cb2(l);
            return;
        }
        int mid = (l + r) / 2, lc = o * 2, rc = lc + 1;
        build(lc, l, mid, cb1, cb2);
        build(rc, mid + 1, r, cb1, cb2);
        v[o] = cb1(v[lc], v[rc]);
    }

    template <typename Cb1, typename Cb2>
    void build(const Cb1& cb1, const Cb2& cb2) {
        build(1, 0, n - 1, cb1, cb2);
    }

    template <typename Cb>
    void query(int o, int l, int r, int ql, int qr, const Cb& cb) const {
        if (ql <= l && r <= qr) {
            cb(v[o]);
            return;
        }
        int mid = (l + r) / 2, lc = o * 2, rc = lc + 1;
        if (ql <= mid) {
            query(lc, l, mid, ql, qr, cb);
        }
        if (mid < qr) {
            query(rc, mid + 1, r, ql, qr, cb);
        }
    }

    template <typename Cb>
    void query(int l, int r, const Cb& cb) const {
        query(1, 0, n - 1, l, r, cb);
    }
};

struct TS {
    int n = 0;
    vector<pair<int, int>> edges;

    int new_var() {
        return n++;
    }

    void implies(int u, int v) {
        dbg(N {u}, N {v});
        auto norm = [&](int u) -> int {
            if (u < 0) {
                return 2 * (~u) + 1;
            }
            return 2 * u;
        };
        u = norm(u);
        v = norm(v);
        edges.emplace_back(u, v);
        edges.emplace_back(v ^ 1, u ^ 1);
        //        rassert(u < n && v < n);
    }
};

void dfs(int u,
         vector<bool>& vis,
         vector<int>& st,
         const vector<vector<int>>& graph) {
    if (vis[u]) {
        return;
    }
    vis[u] = true;
    for (auto& v : graph[u]) {
        dfs(v, vis, st, graph);
    }
    st.push_back(u);
}

struct SCC {
    int n;
    vector<int> comp;
    vector<pair<int, int>> nedges;
    vector<vector<int>> comps, graph, igraph;

    SCC(int n, const vector<pair<int, int>>& edges)
        : n(n), comp(n), graph(n), igraph(n) {
        for (auto& [u, v] : edges) {
            graph[u].push_back(v);
            igraph[v].push_back(u);
        }
        vector<bool> vis(n);
        vector<int> st;
        for (int i = 0; i < n; i++) {
            if (vis[i]) {
                continue;
            }
            dfs(i, vis, st, graph);
        }
        reverse(begin(st), end(st));
        fill(begin(vis), end(vis), false);
        vector<int> cst;
        for (auto& a : st) {
            if (vis[a]) {
                continue;
            }
            cst.clear();
            dfs(a, vis, cst, graph);
            for (auto& b : cst) {
                comp[b] = sz(comps);
            }
            comps.push_back(cst);
        }
        for (auto& [u, v] : edges) {
            nedges.emplace_back(comp[u], comp[v]);
        }
        sort(begin(nedges), end(nedges));
        nedges.erase(unique(begin(nedges), end(nedges)), nedges.end());
        nedges.erase(remove_if(begin(nedges), end(nedges),
                               [&](const auto& p) -> bool {
                                   return p.first == p.second;
                               }),
                     nedges.end());
    }
};

void solve() {
    int n, q;
    cin >> n >> q;
    n *= 3;
    int queries[q][4];
    for (auto& [l0, r0, l1, r1] : queries) {
        cin >> l0 >> r0 >> l1 >> r1;
        l0--;
        r0--;
        l1--;
        r1--;
    }
    TS ts;
    for (int i = 0; i < n; i++) {
        ts.new_var();
    }
    ST st0(n), st1(n);
    st0.build(
        [&](int lc, int rc) -> int {
            int o = ts.new_var();
            ts.implies(~lc, ~o);
            ts.implies(~rc, ~o);
            return o;
        },
        [&](int ind) -> int { return ~ind; });
    st1.build(
        [&](int lc, int rc) -> int {
            int o = ts.new_var();
            ts.implies(~lc, ~o);
            ts.implies(~rc, ~o);
            return o;
        },
        [&](int ind) -> int { return ind; });
    for (auto& [l0, r0, l1, r1] : queries) {
        dbg("Q");
        int b = ts.new_var();
        st0.query(l0, r0, [&](int o) -> void { ts.implies(~o, ~b); });
        st1.query(l1, r1, [&](int o) -> void { ts.implies(~b, o); });
    }
    SCC scc(ts.n * 2, ts.edges);
    auto& comps = scc.comps;
    int m = sz(comps), ccnt[m] {};
    for (int i = 0; i < m; i++) {
        for (auto& a : comps[i]) {
            ccnt[i] += a < 2 * n && a % 2 == 0;
        }
        dbg(i, ccnt[i], comps[i]);
    }
    int bcomp = -1;
    for (int i = 0; i < m; i++) {
        if (ccnt[i] >= n / 3 + 2) {
            bcomp = i;
        }
    }
    if (bcomp != -1) {
        vector<int> ccomp;
        for (auto& a : comps[bcomp]) {
            if (a < 2 * n && a % 2 == 0) {
                ccomp.push_back(a / 2);
            }
        }
        bool found = false;
        auto go = [&](const vector<vector<int>>& g, bool bxor) -> void {
            if (found) {
                return;
            }
            vector<int> vtot;
            vector<bool> vis(ts.n * 2);
            for (auto& a : ccomp) {
                dfs(a, vis, vtot, g);
            }
            int tvis = 0;
            for (int i = 0; i < n; i++) {
                tvis += vis[2 * i];
            }
            if (n / 3 <= tvis && tvis <= 2 * n / 3) {
                cout << "TAK" << endl;
                found = true;
                for (int i = 0; i < n; i++) {
                    cout << "RF"[vis[2 * i] ^ bxor];
                }
                cout << endl;
            }
        };
        go(scc.graph, false);
        go(scc.igraph, true);
        if (!found) {
            cout << "NIE" << endl;
        }
        return;
    }
    cout << "TAK" << endl;
    bool ans[n] {};
    int psum = 0;
    for (int i = m - 1; i >= 0; i--) {
        for (auto& a : comps[i]) {
            if (a < 2 * n && a % 2 == 0) {
                ans[a / 2] = true;
                psum++;
            }
        }
        if (psum < n / 3) {
            continue;
        }
        assert(psum <= 2 * n / 3);
        for (int j = 0; j < n; j++) {
            cout << "RF"[ans[j]];
        }
        cout << endl;
        return;
    }
}

int main() {
    cin.tie(nullptr);
    cin.exceptions(ios::failbit);
    ios_base::sync_with_stdio(false);
    int tcs;
    cin >> tcs;
    while (tcs--) {
        solve();
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3468kb

input:

2
1 3
1 1 2 2
1 2 3 3
1 1 3 3
1 3
1 1 2 2
2 2 3 3
3 3 1 1

output:

TAK
RRF
NIE

result:

ok good!

Test #2:

score: 0
Accepted
time: 19598ms
memory: 305208kb

input:

10
33333 100000
28701 40192 93418 95143
95902 97908 78378 78461
36823 44196 22268 23996
23977 24786 33315 48829
83965 90411 4923 8445
20235 21177 32543 47454
29598 35414 72477 73049
2014 12632 42163 46466
64305 65518 98825 99552
32331 41625 92772 96224
26500 54122 76990 77126
18249 20335 31165 36080...

output:

NIE
NIE
NIE
NIE
NIE
NIE
NIE
NIE
NIE
NIE

result:

ok good!

Test #3:

score: -100
Wrong Answer
time: 13189ms
memory: 220316kb

input:

10
33333 100000
15207 33614 66276 66276
97173 97173 67589 73960
19673 36626 65207 65207
89825 98169 27079 27079
56067 56966 7560 7560
18170 35477 18752 18752
32621 36748 34460 34460
61595 61700 14117 14117
32395 36710 9064 9064
13172 13172 1728 4640
40462 41878 47171 47171
76965 82414 5767 5767
9225...

output:

NIE
NIE
NIE
NIE
NIE
NIE
NIE
NIE
NIE
NIE

result:

wrong answer zla odpowiedz!