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답안 #253087

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
253087 2020-07-26T21:24:33 Z Kubin 열대 식물원 (Tropical Garden) (IOI11_garden) C++17
100 / 100
 258 ms 39136 KB 
// this is O(n+m+q) instead of O(m+nq) like the model solution
// why?

#include <functional>
#include <cstdint>
#include <cassert>
#include <climits>
#include <vector>
#include <array>

using namespace std;

const size_t nil = SIZE_MAX;

void answer(int);


void count_routes(int _n, int _m, int _t, int E[][2], int _q, int K[])
{
    const size_t n = _n, m = _m, target = _t, q = _q;

    // get edges
    vector<array<size_t, 2>> to(n, {nil, nil});
    for(size_t i = 0; i < m; i++)
    {
        size_t u = E[i][0], v = E[i][1];
        if(to[u][0] == nil)
            to[u][0] = v;
        else if(to[u][1] == nil)
            to[u][1] = v;
        if(to[v][0] == nil)
            to[v][0] = u;
        else if(to[v][1] == nil)
            to[v][1] = u;
    }

    vector<size_t> F(2*n, nil);
    // vertex i+n is vertex after coming through best edge of vertex i
    auto nfix = [&](size_t v, size_t u) {
        return v + (to[v][0] == u ? n : 0);
    };
    for(size_t u = 0; u < n; u++)
    {
        F[u] = nfix(to[u][0], u);
        F[u+n] = nfix(to[u][1] == nil ? to[u][0] : to[u][1], u);
    }

    // rho computation
    vector<bool> vis(2*n);
    vector<size_t> st, src(2*n, nil); st.reserve(2*n);
    vector<int> omega(2*n);

    vector<vector<size_t>> G(2*n);

    for(size_t s = 0; s < 2*n; s++)
    {
        G[F[s]].push_back(s);
        if(vis[s])
            continue;

        assert(st.empty());
        size_t u = s;
        while(src[u] == nil)
        {
            src[u] = s;
            st.push_back(u);

            if(src[F[u]] == s)
            {
                size_t idx = find(st.begin(), st.end(), F[u]) - st.begin();
                for(size_t i = idx; i < st.size(); i++)
                    omega[st[i]] = st.size() - idx;
                st.resize(idx);
            }
            u = F[u];
        }
        st.clear();
    }


    // queries

    vector<pair<vector<int>, int>> tabs(2*n);
    function<pair<vector<int>, int>(size_t)> get_tab = [&](size_t t) -> pair<vector<int>, int> {
        if(not tabs[t].first.empty())
            return tabs[t];
        else if(not omega[t])
        {
            vector<int> cnt;
            function<void(size_t, size_t)> dfs = [&](size_t u, size_t d) {
                while(cnt.size() <= d) cnt.push_back(0);
                cnt[d] += (u < n);
                for(auto v : G[u])
                    dfs(v, d + 1);
            };
            dfs(t, 0);
            return tabs[t] = {cnt, 0};
        }
        else
        {
            size_t u = t;
            vector<int> cnt(omega[t]);
            for(int i = 0; i < omega[t]; i++, u = F[u])
            {
                int sh = (i ? omega[t] - i : 0);
                cnt[sh] += (u < n);
                sh++;
                for(auto v : G[u])
                  if(not omega[v])
                {
                    auto [sub, _] = get_tab(v); (void)_;
                    while(cnt.size() < sh + sub.size()) cnt.push_back(0);
                    for(size_t d = 0; d < sub.size(); d++)
                        cnt[sh + d] += sub[d];
                }
            }
            for(size_t i = omega[t]; i < cnt.size(); i++)
                cnt[i] += cnt[i - omega[t]];
            return tabs[t] = {cnt, omega[t]};
        }
    };

    auto count = [&](int k, size_t t) {
        auto [T, mod] = get_tab(t);
        if(mod)
        {
            if((size_t)k >= T.size())
                k = (k - T.size()) % mod + T.size();
            while((size_t)k >= T.size())
                k -= mod;
            return T[k];
        }
        else
            return (size_t)k < T.size() ? T[k] : 0;
    };

    for(size_t que = 0; que < q; que++)
    {
        int k = K[que];
        answer(count(k, target) + count(k, target + n));
    }
}

Subtask #1
49.0 / 49.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 640 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 640 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 768 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 2 ms 640 KB Output is correct

Subtask #2
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 640 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 640 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 768 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 2 ms 640 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 11 ms 5376 KB Output is correct
12 Correct 25 ms 8576 KB Output is correct
13 Correct 46 ms 24384 KB Output is correct
14 Correct 98 ms 28920 KB Output is correct
15 Correct 126 ms 29304 KB Output is correct
16 Correct 89 ms 20732 KB Output is correct
17 Correct 84 ms 17288 KB Output is correct
18 Correct 25 ms 8448 KB Output is correct
19 Correct 94 ms 28896 KB Output is correct
20 Correct 146 ms 29304 KB Output is correct
21 Correct 90 ms 20472 KB Output is correct
22 Correct 79 ms 17272 KB Output is correct
23 Correct 101 ms 32120 KB Output is correct

Subtask #3
31.0 / 31.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 640 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 640 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 768 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 2 ms 640 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 11 ms 5376 KB Output is correct
12 Correct 25 ms 8576 KB Output is correct
13 Correct 46 ms 24384 KB Output is correct
14 Correct 98 ms 28920 KB Output is correct
15 Correct 126 ms 29304 KB Output is correct
16 Correct 89 ms 20732 KB Output is correct
17 Correct 84 ms 17288 KB Output is correct
18 Correct 25 ms 8448 KB Output is correct
19 Correct 94 ms 28896 KB Output is correct
20 Correct 146 ms 29304 KB Output is correct
21 Correct 90 ms 20472 KB Output is correct
22 Correct 79 ms 17272 KB Output is correct
23 Correct 101 ms 32120 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 13 ms 5376 KB Output is correct
26 Correct 26 ms 8576 KB Output is correct
27 Correct 234 ms 24384 KB Output is correct
28 Correct 96 ms 28920 KB Output is correct
29 Correct 124 ms 29340 KB Output is correct
30 Correct 109 ms 20728 KB Output is correct
31 Correct 83 ms 17272 KB Output is correct
32 Correct 26 ms 8448 KB Output is correct
33 Correct 94 ms 28920 KB Output is correct
34 Correct 126 ms 29376 KB Output is correct
35 Correct 88 ms 20344 KB Output is correct
36 Correct 83 ms 17312 KB Output is correct
37 Correct 101 ms 32120 KB Output is correct
38 Correct 258 ms 39136 KB Output is correct