답안 #883136

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
883136 2023-12-04T15:44:37 Z boris_mihov Evacuation plan (IZhO18_plan) C++17
100 / 100
340 ms 61832 KB
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cstring>
#include <vector>
#include <bitset>
#include <queue>
#include <set>

typedef long long llong;
const int MAXN = 500000 + 10;
const int INF  = 1e9;

int n, m, k, q;
int answer[MAXN];

struct DSU
{
    struct Query
    {
        int u, v;
        int idx;
    };

    int par[MAXN];
    std::vector <Query> queries[MAXN];

    void build()
    {
        std::iota(par + 1, par + 1 + n, 1);
    }

    int find(int node)
    {
        if (par[node] == node) return node;
        return par[node] = find(par[node]);
    }

    void connect(int u, int v, int newMin)
    {
        u = find(u);
        v = find(v);

        if (u == v)
        {
            return;
        }

        if (queries[u].size() < queries[v].size())
        {
            std::swap(u, v);
        }

        par[v] = u;
        for (const Query &curr : queries[v])
        {
            if (areConnected(curr.v, curr.u))
            {
                if (answer[curr.idx] == -1) answer[curr.idx] = newMin;
            } else
            {
                queries[u].push_back(curr);
            }
        }
    }

    bool areConnected(int u, int v)
    {
        return find(u) == find(v);
    }
};

DSU dsu;
int dist[MAXN];
int perm[MAXN];
std::vector <int> npp;
std::priority_queue <std::pair <int,int>> pq;
std::vector <std::pair <int,int>> g[MAXN];
bool vis[MAXN];

void solve()
{
    std::fill(dist + 1, dist + 1 + n, INF);
    for (int i = 0 ; i < k ; ++i)
    {
        dist[npp[i]] = 0;
        pq.push({0, npp[i]});
    }

    while (!pq.empty())
    {
        auto [d, node] = pq.top();
        pq.pop();

        if (vis[node])
        {
            continue;
        }

        vis[node] = true;
        for (const auto &[u, w] : g[node])
        {
            if (dist[u] > dist[node] + w)
            {
                dist[u] = dist[node] + w;
                pq.push({-dist[u], u});
            }
        }
    }

    std::cin >> q;
    dsu.build();

    std::fill(answer + 1, answer + 1 + q, -1);
    for (int i = 1 ; i <= q ; ++i)
    {
        int from, to;
        std::cin >> from >> to;
        dsu.queries[from].push_back({from, to, i});
        dsu.queries[to].push_back({to, from, i});
    }

    std::iota(perm + 1, perm + 1 + n, 1);
    std::sort(perm + 1, perm + 1 + n, [&](int x, int y)
    {
        return dist[x] > dist[y];
    });

    for (int i = 1 ; i <= n ; ++i)
    {
        for (const auto &[u, d] : g[perm[i]])
        {
            if (dist[perm[i]] <= dist[u])
            {
                dsu.connect(perm[i], u, dist[perm[i]]);
            }
        }
    }
}

void print()
{
    for (int i = 1 ; i <= q ; ++i)
    {
        std::cout << answer[i] << '\n';
    }
}

void input()
{
    std::cin >> n >> m;
    for (int i = 1 ; i <= m ; ++i)
    {
        int u, v, d;
        std::cin >> u >> v >> d;
        g[u].push_back({v, d});
        g[v].push_back({u, d});
    }

    std::cin >> k;
    npp.resize(k);

    for (int i = 0 ; i < k ; ++i)
    {
        std::cin >> npp[i];
        // std::cout << "here: " << npp[i] << '\n';
    }
}

void fastIOI()
{
    std::ios_base :: sync_with_stdio(0);
    std::cout.tie(nullptr);
    std::cin.tie(nullptr);
}

int main()
{
    fastIOI();
    input();
    solve();
    print();

    return 0;
}

/*  
9 12
1 9 4
1 2 5
2 3 7
2 4 3
4 3 6
3 6 4
8 7 10
6 7 5
5 8 1
9 5 7
5 4 12
6 8 2
2
4 7
5
1 6
5 3
4 8
5 8
1 5
*/
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 31064 KB Output is correct
2 Correct 6 ms 31324 KB Output is correct
3 Correct 7 ms 31324 KB Output is correct
4 Correct 6 ms 31068 KB Output is correct
5 Correct 7 ms 31324 KB Output is correct
6 Correct 8 ms 31320 KB Output is correct
7 Correct 6 ms 31068 KB Output is correct
8 Correct 6 ms 31068 KB Output is correct
9 Correct 7 ms 31324 KB Output is correct
10 Correct 7 ms 31360 KB Output is correct
11 Correct 7 ms 31324 KB Output is correct
12 Correct 6 ms 31296 KB Output is correct
13 Correct 7 ms 31160 KB Output is correct
14 Correct 7 ms 31576 KB Output is correct
15 Correct 7 ms 31324 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 31064 KB Output is correct
2 Correct 6 ms 31324 KB Output is correct
3 Correct 7 ms 31324 KB Output is correct
4 Correct 6 ms 31068 KB Output is correct
5 Correct 7 ms 31324 KB Output is correct
6 Correct 8 ms 31320 KB Output is correct
7 Correct 6 ms 31068 KB Output is correct
8 Correct 6 ms 31068 KB Output is correct
9 Correct 7 ms 31324 KB Output is correct
10 Correct 7 ms 31360 KB Output is correct
11 Correct 7 ms 31324 KB Output is correct
12 Correct 6 ms 31296 KB Output is correct
13 Correct 7 ms 31160 KB Output is correct
14 Correct 7 ms 31576 KB Output is correct
15 Correct 7 ms 31324 KB Output is correct
16 Correct 98 ms 43492 KB Output is correct
17 Correct 330 ms 60872 KB Output is correct
18 Correct 28 ms 34088 KB Output is correct
19 Correct 93 ms 43496 KB Output is correct
20 Correct 296 ms 60952 KB Output is correct
21 Correct 150 ms 49272 KB Output is correct
22 Correct 77 ms 41740 KB Output is correct
23 Correct 283 ms 60752 KB Output is correct
24 Correct 272 ms 60916 KB Output is correct
25 Correct 323 ms 61048 KB Output is correct
26 Correct 96 ms 43332 KB Output is correct
27 Correct 98 ms 43304 KB Output is correct
28 Correct 101 ms 43360 KB Output is correct
29 Correct 88 ms 43496 KB Output is correct
30 Correct 89 ms 43572 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 31068 KB Output is correct
2 Correct 6 ms 31068 KB Output is correct
3 Correct 6 ms 31196 KB Output is correct
4 Correct 6 ms 31068 KB Output is correct
5 Correct 7 ms 31068 KB Output is correct
6 Correct 6 ms 31064 KB Output is correct
7 Correct 6 ms 31068 KB Output is correct
8 Correct 6 ms 31068 KB Output is correct
9 Correct 8 ms 31068 KB Output is correct
10 Correct 6 ms 31068 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 119 ms 38376 KB Output is correct
2 Correct 231 ms 46284 KB Output is correct
3 Correct 288 ms 46364 KB Output is correct
4 Correct 44 ms 34440 KB Output is correct
5 Correct 243 ms 46424 KB Output is correct
6 Correct 223 ms 46480 KB Output is correct
7 Correct 275 ms 46376 KB Output is correct
8 Correct 241 ms 46432 KB Output is correct
9 Correct 238 ms 46360 KB Output is correct
10 Correct 226 ms 46468 KB Output is correct
11 Correct 261 ms 46300 KB Output is correct
12 Correct 278 ms 46388 KB Output is correct
13 Correct 235 ms 46592 KB Output is correct
14 Correct 250 ms 46396 KB Output is correct
15 Correct 240 ms 47452 KB Output is correct
16 Correct 295 ms 46332 KB Output is correct
17 Correct 235 ms 46544 KB Output is correct
18 Correct 234 ms 46404 KB Output is correct
19 Correct 45 ms 34444 KB Output is correct
20 Correct 248 ms 46392 KB Output is correct
21 Correct 227 ms 46792 KB Output is correct
22 Correct 58 ms 36548 KB Output is correct
23 Correct 60 ms 34968 KB Output is correct
24 Correct 69 ms 36548 KB Output is correct
25 Correct 55 ms 36556 KB Output is correct
26 Correct 60 ms 34900 KB Output is correct
27 Correct 44 ms 34452 KB Output is correct
28 Correct 57 ms 36552 KB Output is correct
29 Correct 52 ms 34544 KB Output is correct
30 Correct 54 ms 36560 KB Output is correct
31 Correct 45 ms 34392 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 31064 KB Output is correct
2 Correct 6 ms 31324 KB Output is correct
3 Correct 7 ms 31324 KB Output is correct
4 Correct 6 ms 31068 KB Output is correct
5 Correct 7 ms 31324 KB Output is correct
6 Correct 8 ms 31320 KB Output is correct
7 Correct 6 ms 31068 KB Output is correct
8 Correct 6 ms 31068 KB Output is correct
9 Correct 7 ms 31324 KB Output is correct
10 Correct 7 ms 31360 KB Output is correct
11 Correct 7 ms 31324 KB Output is correct
12 Correct 6 ms 31296 KB Output is correct
13 Correct 7 ms 31160 KB Output is correct
14 Correct 7 ms 31576 KB Output is correct
15 Correct 7 ms 31324 KB Output is correct
16 Correct 98 ms 43492 KB Output is correct
17 Correct 330 ms 60872 KB Output is correct
18 Correct 28 ms 34088 KB Output is correct
19 Correct 93 ms 43496 KB Output is correct
20 Correct 296 ms 60952 KB Output is correct
21 Correct 150 ms 49272 KB Output is correct
22 Correct 77 ms 41740 KB Output is correct
23 Correct 283 ms 60752 KB Output is correct
24 Correct 272 ms 60916 KB Output is correct
25 Correct 323 ms 61048 KB Output is correct
26 Correct 96 ms 43332 KB Output is correct
27 Correct 98 ms 43304 KB Output is correct
28 Correct 101 ms 43360 KB Output is correct
29 Correct 88 ms 43496 KB Output is correct
30 Correct 89 ms 43572 KB Output is correct
31 Correct 6 ms 31068 KB Output is correct
32 Correct 6 ms 31068 KB Output is correct
33 Correct 6 ms 31196 KB Output is correct
34 Correct 6 ms 31068 KB Output is correct
35 Correct 7 ms 31068 KB Output is correct
36 Correct 6 ms 31064 KB Output is correct
37 Correct 6 ms 31068 KB Output is correct
38 Correct 6 ms 31068 KB Output is correct
39 Correct 8 ms 31068 KB Output is correct
40 Correct 6 ms 31068 KB Output is correct
41 Correct 119 ms 38376 KB Output is correct
42 Correct 231 ms 46284 KB Output is correct
43 Correct 288 ms 46364 KB Output is correct
44 Correct 44 ms 34440 KB Output is correct
45 Correct 243 ms 46424 KB Output is correct
46 Correct 223 ms 46480 KB Output is correct
47 Correct 275 ms 46376 KB Output is correct
48 Correct 241 ms 46432 KB Output is correct
49 Correct 238 ms 46360 KB Output is correct
50 Correct 226 ms 46468 KB Output is correct
51 Correct 261 ms 46300 KB Output is correct
52 Correct 278 ms 46388 KB Output is correct
53 Correct 235 ms 46592 KB Output is correct
54 Correct 250 ms 46396 KB Output is correct
55 Correct 240 ms 47452 KB Output is correct
56 Correct 295 ms 46332 KB Output is correct
57 Correct 235 ms 46544 KB Output is correct
58 Correct 234 ms 46404 KB Output is correct
59 Correct 45 ms 34444 KB Output is correct
60 Correct 248 ms 46392 KB Output is correct
61 Correct 227 ms 46792 KB Output is correct
62 Correct 58 ms 36548 KB Output is correct
63 Correct 60 ms 34968 KB Output is correct
64 Correct 69 ms 36548 KB Output is correct
65 Correct 55 ms 36556 KB Output is correct
66 Correct 60 ms 34900 KB Output is correct
67 Correct 44 ms 34452 KB Output is correct
68 Correct 57 ms 36552 KB Output is correct
69 Correct 52 ms 34544 KB Output is correct
70 Correct 54 ms 36560 KB Output is correct
71 Correct 45 ms 34392 KB Output is correct
72 Correct 157 ms 49036 KB Output is correct
73 Correct 337 ms 60924 KB Output is correct
74 Correct 296 ms 60868 KB Output is correct
75 Correct 303 ms 61036 KB Output is correct
76 Correct 324 ms 60912 KB Output is correct
77 Correct 304 ms 61132 KB Output is correct
78 Correct 307 ms 60824 KB Output is correct
79 Correct 299 ms 61040 KB Output is correct
80 Correct 298 ms 60932 KB Output is correct
81 Correct 291 ms 60828 KB Output is correct
82 Correct 334 ms 60852 KB Output is correct
83 Correct 275 ms 61052 KB Output is correct
84 Correct 265 ms 61152 KB Output is correct
85 Correct 301 ms 61832 KB Output is correct
86 Correct 340 ms 60840 KB Output is correct
87 Correct 300 ms 60972 KB Output is correct
88 Correct 294 ms 60864 KB Output is correct
89 Correct 97 ms 43384 KB Output is correct
90 Correct 315 ms 60868 KB Output is correct
91 Correct 269 ms 61732 KB Output is correct
92 Correct 101 ms 45128 KB Output is correct
93 Correct 119 ms 52644 KB Output is correct
94 Correct 101 ms 45132 KB Output is correct
95 Correct 107 ms 45256 KB Output is correct
96 Correct 123 ms 52708 KB Output is correct
97 Correct 101 ms 43848 KB Output is correct
98 Correct 122 ms 45104 KB Output is correct
99 Correct 108 ms 43856 KB Output is correct
100 Correct 102 ms 45104 KB Output is correct