Submission #844054

# Submission time Handle Problem Language Result Execution time Memory
844054 2023-09-05T03:57:04 Z GrandTiger1729 Evacuation plan (IZhO18_plan) C++17
100 / 100
598 ms 36032 KB
#include <bits/stdc++.h>
using namespace std;

struct DSU
{
    vector<int> rt, sz;
    vector<int> stk;
    DSU(int n)
    {
        rt.resize(n);
        sz.resize(n, 1);
        iota(rt.begin(), rt.end(), 0);
    }
    int find(int u)
    {
        if (u == rt[u]) return u;
        return find(rt[u]);
    }
    bool same(int u, int v)
    {
        return find(u) == find(v);
    }
    void unite(int u, int v)
    {
        u = find(u), v = find(v);
        if (u == v)
        {
            stk.push_back(-1);
            return;
        }
        if (sz[u] < sz[v])
            swap(u, v);
        stk.push_back(v);
        rt[v] = u;
        sz[u] += sz[v];
    }
    void rollback()
    {
        int v = stk.back();
        stk.pop_back();
        if (v == -1) return;
        int u = rt[v];
        sz[u] -= sz[v];
        rt[v] = v;
    }
};

int main()
{
    cin.tie(0)->sync_with_stdio(0);
    int n, m; cin >> n >> m;
    vector<vector<pair<int, int>>> g(n);
    for (int i = 0; i < m; i++)
    {
        int u, v, w; cin >> u >> v >> w;
        u--, v--;
        g[u].emplace_back(v, w);
        g[v].emplace_back(u, w);
    }
    vector<int> a(n);
    {
        int k; cin >> k;
        priority_queue<pair<int, int>, vector<pair<int, int>>, greater<>> pq;
        for (int i = 0; i < k; i++)
        {
            int x; cin >> x;
            x--;
            pq.emplace(0, x);
        }
        vector<bool> vis(n);
        while (pq.size())
        {
            auto [x, u] = pq.top();
            pq.pop();
            if (vis[u]) continue;
            vis[u] = 1;
            a[u] = x;
            for (auto &[v, w] : g[u])
            {
                pq.emplace(x + w, v);
            }
        }
    }
    int q; cin >> q;
    vector<pair<int, int>> qry(q);
    for (int i = 0; i < q; i++)
    {
        int u, v; cin >> u >> v;
        u--, v--;
        qry[i] = make_pair(u, v);
    }
    vector<int> ord(n);
    iota(ord.begin(), ord.end(), 0);
    sort(ord.begin(), ord.end(), [&](int i, int j)
    {
        return a[i] < a[j];
    });
    DSU dsu(n);
    vector<int> vis(n);
    vector<int> ans(q, -1);
    function<void(vector<int> &, int, int)> solve = [&](vector<int> &qqry, int l, int r)
    {
        if (l == r - 1)
        {
            for (int i : qqry)
                ans[i] = a[ord[l]];
            return;
        }
        int mid = (l + r) / 2;
        vector<int> lqry, rqry;
        for (int i = r - 1; i >= mid; i--)
        {
            int u = ord[i];
            vis[u] = 1;
            for (auto &[v, w] : g[u])
                if (vis[v])
                    dsu.unite(u, v);
        }
        for (int j : qqry)
            if (dsu.same(qry[j].first, qry[j].second))
                rqry.push_back(j);
            else
                lqry.push_back(j);
        solve(lqry, l, mid);
        for (int i = mid; i < r; i++)
        {
            int u = ord[i];
            for (auto &[v, w] : g[u])
                if (vis[v])
                    dsu.rollback();
            vis[u] = 0;
        }
        solve(rqry, mid, r);
    };
    vector<int> qqry(q);
    iota(qqry.begin(), qqry.end(), 0);
    solve(qqry, 0, n);
    for (int i = 0; i < q; i++)
        cout << ans[i] << '\n';
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 572 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 572 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 180 ms 10980 KB Output is correct
17 Correct 598 ms 26704 KB Output is correct
18 Correct 35 ms 2700 KB Output is correct
19 Correct 99 ms 18012 KB Output is correct
20 Correct 585 ms 26700 KB Output is correct
21 Correct 277 ms 15544 KB Output is correct
22 Correct 103 ms 11232 KB Output is correct
23 Correct 546 ms 25800 KB Output is correct
24 Correct 576 ms 26328 KB Output is correct
25 Correct 572 ms 27100 KB Output is correct
26 Correct 114 ms 18008 KB Output is correct
27 Correct 101 ms 17548 KB Output is correct
28 Correct 104 ms 18032 KB Output is correct
29 Correct 111 ms 18032 KB Output is correct
30 Correct 102 ms 18128 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 231 ms 13056 KB Output is correct
2 Correct 511 ms 27096 KB Output is correct
3 Correct 501 ms 25784 KB Output is correct
4 Correct 58 ms 8652 KB Output is correct
5 Correct 502 ms 26964 KB Output is correct
6 Correct 514 ms 26816 KB Output is correct
7 Correct 519 ms 26020 KB Output is correct
8 Correct 534 ms 26692 KB Output is correct
9 Correct 498 ms 26568 KB Output is correct
10 Correct 519 ms 26604 KB Output is correct
11 Correct 524 ms 27296 KB Output is correct
12 Correct 504 ms 25500 KB Output is correct
13 Correct 498 ms 25688 KB Output is correct
14 Correct 513 ms 25868 KB Output is correct
15 Correct 481 ms 26576 KB Output is correct
16 Correct 527 ms 25940 KB Output is correct
17 Correct 511 ms 25472 KB Output is correct
18 Correct 482 ms 25908 KB Output is correct
19 Correct 58 ms 8408 KB Output is correct
20 Correct 528 ms 25660 KB Output is correct
21 Correct 510 ms 25824 KB Output is correct
22 Correct 91 ms 9532 KB Output is correct
23 Correct 86 ms 8908 KB Output is correct
24 Correct 72 ms 9324 KB Output is correct
25 Correct 87 ms 9816 KB Output is correct
26 Correct 93 ms 9144 KB Output is correct
27 Correct 57 ms 8408 KB Output is correct
28 Correct 83 ms 9528 KB Output is correct
29 Correct 57 ms 8516 KB Output is correct
30 Correct 79 ms 9544 KB Output is correct
31 Correct 59 ms 8408 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 572 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 180 ms 10980 KB Output is correct
17 Correct 598 ms 26704 KB Output is correct
18 Correct 35 ms 2700 KB Output is correct
19 Correct 99 ms 18012 KB Output is correct
20 Correct 585 ms 26700 KB Output is correct
21 Correct 277 ms 15544 KB Output is correct
22 Correct 103 ms 11232 KB Output is correct
23 Correct 546 ms 25800 KB Output is correct
24 Correct 576 ms 26328 KB Output is correct
25 Correct 572 ms 27100 KB Output is correct
26 Correct 114 ms 18008 KB Output is correct
27 Correct 101 ms 17548 KB Output is correct
28 Correct 104 ms 18032 KB Output is correct
29 Correct 111 ms 18032 KB Output is correct
30 Correct 102 ms 18128 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Correct 0 ms 344 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 231 ms 13056 KB Output is correct
42 Correct 511 ms 27096 KB Output is correct
43 Correct 501 ms 25784 KB Output is correct
44 Correct 58 ms 8652 KB Output is correct
45 Correct 502 ms 26964 KB Output is correct
46 Correct 514 ms 26816 KB Output is correct
47 Correct 519 ms 26020 KB Output is correct
48 Correct 534 ms 26692 KB Output is correct
49 Correct 498 ms 26568 KB Output is correct
50 Correct 519 ms 26604 KB Output is correct
51 Correct 524 ms 27296 KB Output is correct
52 Correct 504 ms 25500 KB Output is correct
53 Correct 498 ms 25688 KB Output is correct
54 Correct 513 ms 25868 KB Output is correct
55 Correct 481 ms 26576 KB Output is correct
56 Correct 527 ms 25940 KB Output is correct
57 Correct 511 ms 25472 KB Output is correct
58 Correct 482 ms 25908 KB Output is correct
59 Correct 58 ms 8408 KB Output is correct
60 Correct 528 ms 25660 KB Output is correct
61 Correct 510 ms 25824 KB Output is correct
62 Correct 91 ms 9532 KB Output is correct
63 Correct 86 ms 8908 KB Output is correct
64 Correct 72 ms 9324 KB Output is correct
65 Correct 87 ms 9816 KB Output is correct
66 Correct 93 ms 9144 KB Output is correct
67 Correct 57 ms 8408 KB Output is correct
68 Correct 83 ms 9528 KB Output is correct
69 Correct 57 ms 8516 KB Output is correct
70 Correct 79 ms 9544 KB Output is correct
71 Correct 59 ms 8408 KB Output is correct
72 Correct 291 ms 20404 KB Output is correct
73 Correct 588 ms 35956 KB Output is correct
74 Correct 561 ms 34544 KB Output is correct
75 Correct 561 ms 34752 KB Output is correct
76 Correct 560 ms 34480 KB Output is correct
77 Correct 567 ms 34756 KB Output is correct
78 Correct 572 ms 35404 KB Output is correct
79 Correct 564 ms 34760 KB Output is correct
80 Correct 564 ms 35008 KB Output is correct
81 Correct 592 ms 34540 KB Output is correct
82 Correct 552 ms 34788 KB Output is correct
83 Correct 551 ms 34368 KB Output is correct
84 Correct 553 ms 35536 KB Output is correct
85 Correct 580 ms 34580 KB Output is correct
86 Correct 546 ms 35736 KB Output is correct
87 Correct 556 ms 34292 KB Output is correct
88 Correct 589 ms 34836 KB Output is correct
89 Correct 106 ms 14052 KB Output is correct
90 Correct 538 ms 34376 KB Output is correct
91 Correct 546 ms 36032 KB Output is correct
92 Correct 96 ms 21312 KB Output is correct
93 Correct 166 ms 15412 KB Output is correct
94 Correct 97 ms 20564 KB Output is correct
95 Correct 109 ms 20796 KB Output is correct
96 Correct 175 ms 18928 KB Output is correct
97 Correct 99 ms 16736 KB Output is correct
98 Correct 125 ms 21088 KB Output is correct
99 Correct 100 ms 16868 KB Output is correct
100 Correct 94 ms 20536 KB Output is correct