Submission #763455

#	Time	Username	Problem	Language	Result	Execution time	Memory
763455		boris_mihov	열대 식물원 (Tropical Garden) (IOI11_garden)	C++17	100 / 100	4317 ms	24780 KiB

garden

#include "garden.h"
#include "gardenlib.h"
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cstring>
#include <cassert>
#include <vector>

typedef long long llong;
const int MAXN = 150000 + 10;
const int INF  = 1e9;

int n, m, p, q;
int dp[MAXN][2];
int cnt[MAXN][2];
std::vector <std::pair <int,int>> g[MAXN];
bool vis[MAXN][2];

void dfs(int node, bool next, int edges, bool firstEdge)
{
    if (next == false)
    {
        cnt[edges][firstEdge]++;
    }

    int l = 0, r = g[node].size();
    if (next || g[node].size() == 1)
    {
        r = 1;
    } else
    {
        l = 1;
    }

    for (int i = l ; i < r ; ++i)
    {
        auto [u, t] = g[node][i];
        if (u == p)
        {
            continue;
        }

        if (t == g[u][0].second)
        {
            dfs(u, 0, edges + 1, firstEdge);
            continue;
        }

        if (t == g[u][1].second)
        {
            dfs(u, 1, edges + 1, firstEdge);
            continue;
        }
    }
}

std::pair <int,int> dfsCycle(int node, bool fromMAX, int time)
{
    if (time != 0 && node == p)
    {
        return {time, fromMAX};
    }

    if (vis[node][fromMAX])
    {
        return {-1, -1};
    }

    vis[node][fromMAX] = true;
    if (!fromMAX || g[node].size() == 1)
    {
        return dfsCycle(g[node][0].first, (g[node][0].second == g[g[node][0].first][0].second), time + 1);
    } else
    {
        return dfsCycle(g[node][1].first, (g[node][1].second == g[g[node][1].first][0].second), time + 1);
    }
}

void count_routes(int N, int M, int P, int R[][2], int Q, int G[])
{
    n = N;
    m = M;
    p = P + 1;
    q = Q;

    for (int i = 0 ; i < m ; ++i)
    {
        g[R[i][0] + 1].push_back({R[i][1] + 1, i + 1});
        g[R[i][1] + 1].push_back({R[i][0] + 1, i + 1});
    }

    for (int i = 1 ; i <= n ; ++i)
    {
        std::sort(g[i].begin(), g[i].end(), [&](auto a, auto b)
        {
            return a.second < b.second;
        });
    }

    cnt[0][0]++;
    vis[p][0] = vis[p][1] = true;
    for (const auto &[u, t] : g[p])
    {
        if (t == g[u][0].second)
        {
            dfs(u, 0, 1, (t == g[p][0].second));
            continue;
        } 

        if (t == g[u][1].second)
        {
            dfs(u, 1, 1, (t == g[p][0].second));
            continue;
        }
    }
    
    std::pair <int,int> cycle[2];
    memset(vis, false, sizeof(vis));
    cycle[0] = dfsCycle(p, 0, 0);

    memset(vis, false, sizeof(vis));
    cycle[1] = dfsCycle(p, 1, 0);

    for (int i = 0 ; i < q ; ++i)
    {
        int k = G[i];
        int ans = 0;

        for (int fromMAX = 0 ; fromMAX < 2 ; ++fromMAX)
        {
            for (int j = 0 ; j <= std::min(n, k) ; ++j)
            {
                if (j == k)
                {
                    ans += cnt[j][fromMAX];
                    continue;
                }

                if (cycle[fromMAX].first == -1)
                {
                    continue;
                }

                if (j + cycle[fromMAX].first == k)
                {
                    ans += cnt[j][fromMAX];
                    continue;
                }

                if (cycle[fromMAX].second == fromMAX)
                {
                    if ((k - j) % cycle[fromMAX].first == 0)
                    {
                        ans += cnt[j][fromMAX];
                    }

                    continue;
                }

                if (cycle[fromMAX ^ 1].first == -1)
                {
                    continue;
                }

                if (cycle[fromMAX ^ 1].second == (fromMAX ^ 1))
                {
                    if ((k - j - cycle[fromMAX].first) % cycle[fromMAX ^ 1].first == 0)
                    {
                        ans += cnt[j][fromMAX];
                    }

                    continue;
                }

                int rem = (k - j) % (cycle[fromMAX].first + cycle[fromMAX ^ 1].first);
                if (rem == 0 || rem == cycle[fromMAX].first)
                {
                    ans += cnt[j][fromMAX];
                    continue;
                }
            }
        }

        answer(ans);
    }
}

• Subtask 1: 49 / 49
• Subtask 2: 20 / 20
• Subtask 3: 31 / 31