Submission #319773

# Submission time Handle Problem Language Result Execution time Memory
319773 2020-11-06T12:01:55 Z arujbansal Swapping Cities (APIO20_swap) C++17
7 / 100
266 ms 14304 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 + 5, MOD = 1e9 + 7, INF = 1e9 + 5;

struct Edge {
    int u, v, w;

//    Edge(int u, int v, int w) : u(u), v(v), w(w) {}

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

struct DSU {
    int n;
    vi par, s, deg, mxDeg, timeValid;
    vii root[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) {
        if (par[x] == x) return x;
        return par[x] = get(par[x]);
    }

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

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

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

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

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

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

        root[u].eb(time, y);
    }

    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";
//}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2700 KB Output is correct
3 Correct 3 ms 2668 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2796 KB Output is correct
6 Correct 3 ms 2796 KB Output is correct
7 Correct 3 ms 2796 KB Output is correct
8 Correct 2 ms 2796 KB Output is correct
9 Correct 62 ms 10084 KB Output is correct
10 Correct 94 ms 11952 KB Output is correct
11 Correct 72 ms 11640 KB Output is correct
12 Correct 81 ms 12132 KB Output is correct
13 Correct 75 ms 11236 KB Output is correct
14 Correct 80 ms 10232 KB Output is correct
15 Correct 217 ms 13680 KB Output is correct
16 Correct 221 ms 13460 KB Output is correct
17 Correct 250 ms 14032 KB Output is correct
18 Correct 208 ms 13132 KB Output is correct
19 Incorrect 97 ms 6500 KB Output isn't correct
20 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2700 KB Output is correct
3 Correct 249 ms 13960 KB Output is correct
4 Correct 252 ms 14156 KB Output is correct
5 Correct 244 ms 14204 KB Output is correct
6 Correct 266 ms 14156 KB Output is correct
7 Correct 234 ms 14304 KB Output is correct
8 Correct 249 ms 13972 KB Output is correct
9 Correct 237 ms 14180 KB Output is correct
10 Correct 245 ms 13856 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2668 KB Output is correct
3 Correct 2 ms 2700 KB Output is correct
4 Correct 3 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2796 KB Output is correct
7 Correct 3 ms 2796 KB Output is correct
8 Correct 3 ms 2796 KB Output is correct
9 Correct 2 ms 2796 KB Output is correct
10 Incorrect 2 ms 2796 KB Output isn't correct
11 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2668 KB Output is correct
3 Correct 2 ms 2700 KB Output is correct
4 Correct 3 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2796 KB Output is correct
7 Correct 3 ms 2796 KB Output is correct
8 Correct 3 ms 2796 KB Output is correct
9 Correct 2 ms 2796 KB Output is correct
10 Correct 62 ms 10084 KB Output is correct
11 Correct 94 ms 11952 KB Output is correct
12 Correct 72 ms 11640 KB Output is correct
13 Correct 81 ms 12132 KB Output is correct
14 Correct 75 ms 11236 KB Output is correct
15 Incorrect 2 ms 2796 KB Output isn't correct
16 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2700 KB Output is correct
3 Correct 3 ms 2668 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2796 KB Output is correct
6 Correct 3 ms 2796 KB Output is correct
7 Correct 3 ms 2796 KB Output is correct
8 Correct 2 ms 2796 KB Output is correct
9 Correct 62 ms 10084 KB Output is correct
10 Correct 94 ms 11952 KB Output is correct
11 Correct 72 ms 11640 KB Output is correct
12 Correct 81 ms 12132 KB Output is correct
13 Correct 75 ms 11236 KB Output is correct
14 Correct 80 ms 10232 KB Output is correct
15 Correct 217 ms 13680 KB Output is correct
16 Correct 221 ms 13460 KB Output is correct
17 Correct 250 ms 14032 KB Output is correct
18 Correct 208 ms 13132 KB Output is correct
19 Correct 249 ms 13960 KB Output is correct
20 Correct 252 ms 14156 KB Output is correct
21 Correct 244 ms 14204 KB Output is correct
22 Correct 266 ms 14156 KB Output is correct
23 Correct 234 ms 14304 KB Output is correct
24 Correct 249 ms 13972 KB Output is correct
25 Correct 237 ms 14180 KB Output is correct
26 Correct 245 ms 13856 KB Output is correct
27 Incorrect 2 ms 2796 KB Output isn't correct
28 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2668 KB Output is correct
3 Correct 2 ms 2700 KB Output is correct
4 Correct 3 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2796 KB Output is correct
7 Correct 3 ms 2796 KB Output is correct
8 Correct 3 ms 2796 KB Output is correct
9 Correct 2 ms 2796 KB Output is correct
10 Correct 62 ms 10084 KB Output is correct
11 Correct 94 ms 11952 KB Output is correct
12 Correct 72 ms 11640 KB Output is correct
13 Correct 81 ms 12132 KB Output is correct
14 Correct 75 ms 11236 KB Output is correct
15 Correct 80 ms 10232 KB Output is correct
16 Correct 217 ms 13680 KB Output is correct
17 Correct 221 ms 13460 KB Output is correct
18 Correct 250 ms 14032 KB Output is correct
19 Correct 208 ms 13132 KB Output is correct
20 Correct 249 ms 13960 KB Output is correct
21 Correct 252 ms 14156 KB Output is correct
22 Correct 244 ms 14204 KB Output is correct
23 Correct 266 ms 14156 KB Output is correct
24 Correct 234 ms 14304 KB Output is correct
25 Correct 249 ms 13972 KB Output is correct
26 Correct 237 ms 14180 KB Output is correct
27 Correct 245 ms 13856 KB Output is correct
28 Incorrect 2 ms 2796 KB Output isn't correct
29 Halted 0 ms 0 KB -