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Submission #319846

# Submission time Handle Problem Language Result Execution time Memory
319846 2020-11-06T14:38:21 Z arujbansal Swapping Cities (APIO20_swap) C++17
13 / 100
 597 ms 33104 KB 
#include "swap.h"
#include <bits/stdc++.h>

#define FAST_IO ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr)
#define setIO(i, o) freopen(i, "r", stdin), freopen(o, "w", stdout)
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) (int) (x).size()
#define lc(i) 2*i
#define rc(i) 2*i+1
//#define int long long
using namespace std;
using ll = long long;
using ii = pair<int, int>;
using vii = vector<ii>;
using vi = vector<int>;
using vvi = vector<vi>;
using vb = vector<bool>;
using vvb = vector<vb>;

const int MAXN = 1e5 + 20, MOD = 1e9 + 7, INF = 1e9;

struct Edge {
    int u, v, w;

    bool operator<(const Edge &other) {
        return w < other.w;
    }
};

struct DSU {
    int n;
    vi par, s, deg, mxDeg, timeValid;
    vii root[MAXN];
    vi g[MAXN];

    void init(int n) {
        this->n = n;
        par.resize(n);
        iota(all(par), 0);
        s.assign(n, 1);
        deg.assign(n, 0);
        mxDeg.assign(n, 0);
        timeValid.assign(n, INF);

        for (int i = 0; i < n; i++)
            root[i].eb(0, i);
    }

    int get(int x) {
        return par[x];
    }

    void mark(int x, int newPar, int time) {
        if (par[x] == newPar) return;

        par[x] = newPar;
        root[x].eb(time, newPar);

        for (const auto &v : g[x]) mark(v, newPar, time);
    }

    void unite(int u, int v, int time) {
        deg[u]++;
        deg[v]++;

        int x = get(u);
        int y = get(v);

        if (deg[u] >= 3) timeValid[x] = min(timeValid[x], time);
        if (deg[v] >= 3) timeValid[y] = min(timeValid[y], time);

        if (x == y) {
            timeValid[x] = min(timeValid[x], time);
            return;
        }

        g[u].pb(v);
        g[v].pb(u);

        if (s[x] > s[y]) {
            swap(x, y);
            swap(u, v);
        }

        mark(par[x], y, time);
        s[y] += s[x];
        timeValid[y] = min(timeValid[y], timeValid[x]);
    }

    bool query(int u, int v, int time) {
        time++;

        auto x = upper_bound(all(root[u]), ii(time, INF));
        auto y = upper_bound(all(root[v]), ii(time, INF));
        x--, y--;

        ii rootU = *x;
        ii rootV = *y;

        if (rootU.second == rootV.second)
            return timeValid[rootU.second] <= time;

        return false;
    }
};

DSU graph;
vector<Edge> edges;
int n, m;

void init(int N, int M, vi U, vi V, vi W) {
    n = N;
    m = M;

    edges.resize(M);

    for (int i = 0; i < M; i++) {
        edges[i].u = U[i];
        edges[i].v = V[i];
        edges[i].w = W[i];
    }

    sort(all(edges));

    graph.init(N);

    for (int i = 0; i < M; i++)
        graph.unite(edges[i].u, edges[i].v, i + 1);
}

int getMinimumFuelCapacity(int X, int Y) {
    int lo = 0, hi = m - 1;
    int ans = INF;

    while (lo <= hi) {
        int mid = (lo + hi) >> 1;
        if (graph.query(X, Y, mid)) {
            ans = min(ans, edges[mid].w);
            hi = mid - 1;
        } else lo = mid + 1;
    }

    return ans < INF ? ans : -1;
}

//signed main() {
//    FAST_IO;
//#ifdef arujbansal_local
//    setIO("input.txt", "output.txt");
//#endif
//
//    int a, b;
//    cin >> a >> b;
//    int u[b], v[b], wt[b];
//
//    for (int i = 0; i < b; i++)
//        cin >> u[i] >> v[i] >> wt[i];
//
//    init(a, b, u, v, wt);
//
//    int q;
//    cin >> q;
//    while (q--) {
//        int x, y;
//        cin >> x >> y;
//        cout << getMinimumFuelCapacity(x, y) << "\n";
//    }
//
////    for (const auto &[time, root] : graph.root[4])
////        cout << time << " " << root << "\n";
//}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4972 KB Output is correct
2 Correct 4 ms 4972 KB Output is correct
3 Correct 4 ms 4972 KB Output is correct
4 Correct 5 ms 5100 KB Output is correct
5 Correct 5 ms 5228 KB Output is correct
6 Correct 5 ms 5228 KB Output is correct
7 Correct 5 ms 5228 KB Output is correct
8 Correct 5 ms 5228 KB Output is correct
9 Correct 265 ms 21860 KB Output is correct
10 Correct 341 ms 25060 KB Output is correct
11 Correct 340 ms 24804 KB Output is correct
12 Correct 371 ms 26276 KB Output is correct
13 Correct 137 ms 21988 KB Output is correct
14 Correct 294 ms 21672 KB Output is correct
15 Correct 552 ms 27504 KB Output is correct
16 Correct 536 ms 26772 KB Output is correct
17 Correct 563 ms 27980 KB Output is correct
18 Correct 287 ms 23884 KB Output is correct
19 Correct 147 ms 12532 KB Output is correct
20 Correct 560 ms 31588 KB Output is correct
21 Correct 536 ms 31648 KB Output is correct
22 Correct 597 ms 33104 KB Output is correct
23 Correct 298 ms 28620 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4972 KB Output is correct
2 Correct 4 ms 4972 KB Output is correct
3 Correct 254 ms 20928 KB Output is correct
4 Correct 270 ms 21316 KB Output is correct
5 Correct 283 ms 21108 KB Output is correct
6 Correct 269 ms 21080 KB Output is correct
7 Correct 270 ms 21212 KB Output is correct
8 Correct 280 ms 20748 KB Output is correct
9 Correct 273 ms 20880 KB Output is correct
10 Correct 266 ms 20544 KB Output is correct

Subtask #3
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4972 KB Output is correct
2 Correct 4 ms 4972 KB Output is correct
3 Correct 4 ms 4972 KB Output is correct
4 Correct 4 ms 4972 KB Output is correct
5 Correct 5 ms 5100 KB Output is correct
6 Correct 5 ms 5228 KB Output is correct
7 Correct 5 ms 5228 KB Output is correct
8 Correct 5 ms 5228 KB Output is correct
9 Correct 5 ms 5228 KB Output is correct
10 Correct 5 ms 5228 KB Output is correct
11 Correct 5 ms 5228 KB Output is correct
12 Correct 5 ms 5228 KB Output is correct
13 Correct 6 ms 5100 KB Output is correct
14 Correct 5 ms 5100 KB Output is correct
15 Correct 5 ms 5248 KB Output is correct
16 Correct 5 ms 5228 KB Output is correct
17 Correct 5 ms 5228 KB Output is correct
18 Correct 5 ms 5228 KB Output is correct
19 Correct 5 ms 5100 KB Output is correct
20 Correct 5 ms 5228 KB Output is correct
21 Correct 5 ms 5100 KB Output is correct
22 Correct 5 ms 5120 KB Output is correct
23 Correct 6 ms 5100 KB Output is correct
24 Incorrect 5 ms 5228 KB Output isn't correct
25 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4972 KB Output is correct
2 Correct 4 ms 4972 KB Output is correct
3 Correct 4 ms 4972 KB Output is correct
4 Correct 4 ms 4972 KB Output is correct
5 Correct 5 ms 5100 KB Output is correct
6 Correct 5 ms 5228 KB Output is correct
7 Correct 5 ms 5228 KB Output is correct
8 Correct 5 ms 5228 KB Output is correct
9 Correct 5 ms 5228 KB Output is correct
10 Correct 265 ms 21860 KB Output is correct
11 Correct 341 ms 25060 KB Output is correct
12 Correct 340 ms 24804 KB Output is correct
13 Correct 371 ms 26276 KB Output is correct
14 Correct 137 ms 21988 KB Output is correct
15 Correct 5 ms 5228 KB Output is correct
16 Correct 5 ms 5228 KB Output is correct
17 Correct 5 ms 5228 KB Output is correct
18 Correct 6 ms 5100 KB Output is correct
19 Correct 5 ms 5100 KB Output is correct
20 Correct 5 ms 5248 KB Output is correct
21 Correct 5 ms 5228 KB Output is correct
22 Correct 5 ms 5228 KB Output is correct
23 Correct 5 ms 5228 KB Output is correct
24 Correct 19 ms 7660 KB Output is correct
25 Correct 355 ms 26212 KB Output is correct
26 Correct 361 ms 26336 KB Output is correct
27 Correct 351 ms 25572 KB Output is correct
28 Correct 297 ms 24804 KB Output is correct
29 Correct 293 ms 24420 KB Output is correct
30 Correct 248 ms 22500 KB Output is correct
31 Incorrect 365 ms 27492 KB Output isn't correct
32 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4972 KB Output is correct
2 Correct 4 ms 4972 KB Output is correct
3 Correct 4 ms 4972 KB Output is correct
4 Correct 5 ms 5100 KB Output is correct
5 Correct 5 ms 5228 KB Output is correct
6 Correct 5 ms 5228 KB Output is correct
7 Correct 5 ms 5228 KB Output is correct
8 Correct 5 ms 5228 KB Output is correct
9 Correct 265 ms 21860 KB Output is correct
10 Correct 341 ms 25060 KB Output is correct
11 Correct 340 ms 24804 KB Output is correct
12 Correct 371 ms 26276 KB Output is correct
13 Correct 137 ms 21988 KB Output is correct
14 Correct 294 ms 21672 KB Output is correct
15 Correct 552 ms 27504 KB Output is correct
16 Correct 536 ms 26772 KB Output is correct
17 Correct 563 ms 27980 KB Output is correct
18 Correct 287 ms 23884 KB Output is correct
19 Correct 254 ms 20928 KB Output is correct
20 Correct 270 ms 21316 KB Output is correct
21 Correct 283 ms 21108 KB Output is correct
22 Correct 269 ms 21080 KB Output is correct
23 Correct 270 ms 21212 KB Output is correct
24 Correct 280 ms 20748 KB Output is correct
25 Correct 273 ms 20880 KB Output is correct
26 Correct 266 ms 20544 KB Output is correct
27 Correct 5 ms 5228 KB Output is correct
28 Correct 5 ms 5228 KB Output is correct
29 Correct 5 ms 5228 KB Output is correct
30 Correct 6 ms 5100 KB Output is correct
31 Correct 5 ms 5100 KB Output is correct
32 Correct 5 ms 5248 KB Output is correct
33 Correct 5 ms 5228 KB Output is correct
34 Correct 5 ms 5228 KB Output is correct
35 Correct 5 ms 5228 KB Output is correct
36 Correct 19 ms 7660 KB Output is correct
37 Correct 355 ms 26212 KB Output is correct
38 Correct 361 ms 26336 KB Output is correct
39 Correct 351 ms 25572 KB Output is correct
40 Correct 297 ms 24804 KB Output is correct
41 Correct 293 ms 24420 KB Output is correct
42 Correct 248 ms 22500 KB Output is correct
43 Incorrect 365 ms 27492 KB Output isn't correct
44 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4972 KB Output is correct
2 Correct 4 ms 4972 KB Output is correct
3 Correct 4 ms 4972 KB Output is correct
4 Correct 4 ms 4972 KB Output is correct
5 Correct 5 ms 5100 KB Output is correct
6 Correct 5 ms 5228 KB Output is correct
7 Correct 5 ms 5228 KB Output is correct
8 Correct 5 ms 5228 KB Output is correct
9 Correct 5 ms 5228 KB Output is correct
10 Correct 265 ms 21860 KB Output is correct
11 Correct 341 ms 25060 KB Output is correct
12 Correct 340 ms 24804 KB Output is correct
13 Correct 371 ms 26276 KB Output is correct
14 Correct 137 ms 21988 KB Output is correct
15 Correct 294 ms 21672 KB Output is correct
16 Correct 552 ms 27504 KB Output is correct
17 Correct 536 ms 26772 KB Output is correct
18 Correct 563 ms 27980 KB Output is correct
19 Correct 287 ms 23884 KB Output is correct
20 Correct 254 ms 20928 KB Output is correct
21 Correct 270 ms 21316 KB Output is correct
22 Correct 283 ms 21108 KB Output is correct
23 Correct 269 ms 21080 KB Output is correct
24 Correct 270 ms 21212 KB Output is correct
25 Correct 280 ms 20748 KB Output is correct
26 Correct 273 ms 20880 KB Output is correct
27 Correct 266 ms 20544 KB Output is correct
28 Correct 5 ms 5228 KB Output is correct
29 Correct 5 ms 5228 KB Output is correct
30 Correct 5 ms 5228 KB Output is correct
31 Correct 6 ms 5100 KB Output is correct
32 Correct 5 ms 5100 KB Output is correct
33 Correct 5 ms 5248 KB Output is correct
34 Correct 5 ms 5228 KB Output is correct
35 Correct 5 ms 5228 KB Output is correct
36 Correct 5 ms 5228 KB Output is correct
37 Correct 19 ms 7660 KB Output is correct
38 Correct 355 ms 26212 KB Output is correct
39 Correct 361 ms 26336 KB Output is correct
40 Correct 351 ms 25572 KB Output is correct
41 Correct 297 ms 24804 KB Output is correct
42 Correct 293 ms 24420 KB Output is correct
43 Correct 248 ms 22500 KB Output is correct
44 Incorrect 365 ms 27492 KB Output isn't correct
45 Halted 0 ms 0 KB -