oj.uz

Submission #319848

# Submission time Handle Problem Language Result Execution time Memory
319848 2020-11-06T14:45:29 Z arujbansal Swapping Cities (APIO20_swap) C++17
13 / 100
 589 ms 31820 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) {
        g[u].pb(v);
        g[v].pb(u);
        
        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;
        }

        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 4992 KB Output is correct
3 Correct 4 ms 4972 KB Output is correct
4 Correct 4 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 270 ms 22628 KB Output is correct
10 Correct 351 ms 26084 KB Output is correct
11 Correct 334 ms 25700 KB Output is correct
12 Correct 357 ms 27236 KB Output is correct
13 Correct 144 ms 23268 KB Output is correct
14 Correct 289 ms 22636 KB Output is correct
15 Correct 573 ms 29168 KB Output is correct
16 Correct 527 ms 28308 KB Output is correct
17 Correct 589 ms 29592 KB Output is correct
18 Correct 309 ms 25420 KB Output is correct
19 Correct 147 ms 13540 KB Output is correct
20 Correct 553 ms 30564 KB Output is correct
21 Correct 563 ms 30244 KB Output is correct
22 Correct 587 ms 31820 KB Output is correct
23 Correct 292 ms 27548 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 4992 KB Output is correct
3 Correct 260 ms 22528 KB Output is correct
4 Correct 273 ms 23108 KB Output is correct
5 Correct 290 ms 22772 KB Output is correct
6 Correct 268 ms 22868 KB Output is correct
7 Correct 274 ms 22876 KB Output is correct
8 Correct 273 ms 22444 KB Output is correct
9 Correct 271 ms 22720 KB Output is correct
10 Correct 264 ms 22420 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 4992 KB Output is correct
4 Correct 4 ms 4972 KB Output is correct
5 Correct 4 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 5356 KB Output is correct
13 Correct 5 ms 5100 KB Output is correct
14 Correct 7 ms 5228 KB Output is correct
15 Correct 5 ms 5228 KB Output is correct
16 Correct 6 ms 5228 KB Output is correct
17 Correct 5 ms 5376 KB Output is correct
18 Correct 5 ms 5228 KB Output is correct
19 Correct 5 ms 5100 KB Output is correct
20 Correct 7 ms 5228 KB Output is correct
21 Correct 6 ms 5100 KB Output is correct
22 Correct 5 ms 5100 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 4992 KB Output is correct
4 Correct 4 ms 4972 KB Output is correct
5 Correct 4 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 270 ms 22628 KB Output is correct
11 Correct 351 ms 26084 KB Output is correct
12 Correct 334 ms 25700 KB Output is correct
13 Correct 357 ms 27236 KB Output is correct
14 Correct 144 ms 23268 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 5356 KB Output is correct
18 Correct 5 ms 5100 KB Output is correct
19 Correct 7 ms 5228 KB Output is correct
20 Correct 5 ms 5228 KB Output is correct
21 Correct 6 ms 5228 KB Output is correct
22 Correct 5 ms 5376 KB Output is correct
23 Correct 5 ms 5228 KB Output is correct
24 Correct 19 ms 7660 KB Output is correct
25 Correct 373 ms 26212 KB Output is correct
26 Correct 359 ms 26212 KB Output is correct
27 Correct 335 ms 25444 KB Output is correct
28 Correct 296 ms 24676 KB Output is correct
29 Correct 291 ms 24420 KB Output is correct
30 Correct 239 ms 22500 KB Output is correct
31 Incorrect 355 ms 27620 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 4992 KB Output is correct
3 Correct 4 ms 4972 KB Output is correct
4 Correct 4 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 270 ms 22628 KB Output is correct
10 Correct 351 ms 26084 KB Output is correct
11 Correct 334 ms 25700 KB Output is correct
12 Correct 357 ms 27236 KB Output is correct
13 Correct 144 ms 23268 KB Output is correct
14 Correct 289 ms 22636 KB Output is correct
15 Correct 573 ms 29168 KB Output is correct
16 Correct 527 ms 28308 KB Output is correct
17 Correct 589 ms 29592 KB Output is correct
18 Correct 309 ms 25420 KB Output is correct
19 Correct 260 ms 22528 KB Output is correct
20 Correct 273 ms 23108 KB Output is correct
21 Correct 290 ms 22772 KB Output is correct
22 Correct 268 ms 22868 KB Output is correct
23 Correct 274 ms 22876 KB Output is correct
24 Correct 273 ms 22444 KB Output is correct
25 Correct 271 ms 22720 KB Output is correct
26 Correct 264 ms 22420 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 5356 KB Output is correct
30 Correct 5 ms 5100 KB Output is correct
31 Correct 7 ms 5228 KB Output is correct
32 Correct 5 ms 5228 KB Output is correct
33 Correct 6 ms 5228 KB Output is correct
34 Correct 5 ms 5376 KB Output is correct
35 Correct 5 ms 5228 KB Output is correct
36 Correct 19 ms 7660 KB Output is correct
37 Correct 373 ms 26212 KB Output is correct
38 Correct 359 ms 26212 KB Output is correct
39 Correct 335 ms 25444 KB Output is correct
40 Correct 296 ms 24676 KB Output is correct
41 Correct 291 ms 24420 KB Output is correct
42 Correct 239 ms 22500 KB Output is correct
43 Incorrect 355 ms 27620 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 4992 KB Output is correct
4 Correct 4 ms 4972 KB Output is correct
5 Correct 4 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 270 ms 22628 KB Output is correct
11 Correct 351 ms 26084 KB Output is correct
12 Correct 334 ms 25700 KB Output is correct
13 Correct 357 ms 27236 KB Output is correct
14 Correct 144 ms 23268 KB Output is correct
15 Correct 289 ms 22636 KB Output is correct
16 Correct 573 ms 29168 KB Output is correct
17 Correct 527 ms 28308 KB Output is correct
18 Correct 589 ms 29592 KB Output is correct
19 Correct 309 ms 25420 KB Output is correct
20 Correct 260 ms 22528 KB Output is correct
21 Correct 273 ms 23108 KB Output is correct
22 Correct 290 ms 22772 KB Output is correct
23 Correct 268 ms 22868 KB Output is correct
24 Correct 274 ms 22876 KB Output is correct
25 Correct 273 ms 22444 KB Output is correct
26 Correct 271 ms 22720 KB Output is correct
27 Correct 264 ms 22420 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 5356 KB Output is correct
31 Correct 5 ms 5100 KB Output is correct
32 Correct 7 ms 5228 KB Output is correct
33 Correct 5 ms 5228 KB Output is correct
34 Correct 6 ms 5228 KB Output is correct
35 Correct 5 ms 5376 KB Output is correct
36 Correct 5 ms 5228 KB Output is correct
37 Correct 19 ms 7660 KB Output is correct
38 Correct 373 ms 26212 KB Output is correct
39 Correct 359 ms 26212 KB Output is correct
40 Correct 335 ms 25444 KB Output is correct
41 Correct 296 ms 24676 KB Output is correct
42 Correct 291 ms 24420 KB Output is correct
43 Correct 239 ms 22500 KB Output is correct
44 Incorrect 355 ms 27620 KB Output isn't correct
45 Halted 0 ms 0 KB -