oj.uz

Submission #965039

# Submission time Handle Problem Language Result Execution time Memory
965039 2024-04-18T04:02:05 Z Pannda Swapping Cities (APIO20_swap) C++17
17 / 100
 2000 ms 524288 KB 
#include "swap.h"

#include <bits/stdc++.h>
using namespace std;

struct DSU {
    vector<int> f;
    vector<int> siz;
    vector<int> deg;
    vector<bool> ok;

    DSU(int n) : f(n), siz(n, 1), deg(n, 0), ok(n, false) { iota(f.begin(), f.end(), 0); }

    int leader(int u) {
        while (u != f[u]) u = f[u] = f[f[u]];
        return u;
    }

    bool unionize(int u0, int v0) {
        int u = leader(u0);
        int v = leader(v0);
        if (u == v) {
            ok[u] = true;
            return false;
        }
        if (siz[u] > siz[v]) swap(u, v);
        siz[v] += siz[u];
        if (++deg[u0] >= 3 || ++deg[v0] >= 3) ok[v] = true;
        ok[v] = ok[v] | ok[u];
        f[u] = v;
        return true;
    }

    bool same(int u, int v) {
        return leader(u) == leader(v);
    }

    bool isOk(int u) {
        return ok[leader(u)];
    }
};

struct LiteDSU {
    vector<int> f;
    vector<int> siz;
    vector<bool> ok;

    LiteDSU(int n) : f(n), siz(n, 1), ok(n, false) { iota(f.begin(), f.end(), 0); }

    int leader(int u) {
        while (u != f[u]) u = f[u] = f[f[u]];
        return u;
    }

    bool unionize(int u, int v) {
        u = leader(u);
        v = leader(v);
        if (u == v) return false;
        if (siz[u] > siz[v]) swap(u, v);
        siz[v] += siz[u];
        ok[v] = ok[v] | ok[u];
        f[u] = v;
        return true;
    }

    bool same(int u, int v) {
        return leader(u) == leader(v);
    }

    bool isOk(int u) {
        return ok[leader(u)];
    }
};

int n, m;
vector<array<int, 3>> edges;
const int B = 350;
vector<DSU> dsus;
int b;

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
    n = N;
    m = M;
    edges.resize(m);
    for (int i = 0; i < m; i++) {
        edges[i] = {U[i], V[i], W[i]};
    }
    sort(edges.begin(), edges.end(), [&](array<int, 3> e0, array<int, 3> e1) { return e0[2] < e1[2]; });

    dsus.emplace_back(n);
    for (b = 0; B * b < m; b++) {
        dsus.push_back(dsus.back());
        for (int i = B * b; i < min(m, B * b + B); i++) {
            dsus.back().unionize(edges[i][0], edges[i][1]);
        }
    }
    b++;
}

int getMinimumFuelCapacity(int X, int Y) {
    if (!dsus.back().same(X, Y) || !dsus.back().isOk(X)) return -1;
    int b0 = b - 1;
    while (dsus[b0].same(X, Y) && dsus[b0].isOk(X)) b0--;
    vector<int> dom;
    for (int i = B * b0; i < min(m, B * b0 + B); i++) {
        if (dsus[b0 + 1].same(X, edges[i][0]) || dsus[b0 + 1].same(X, edges[i][1])) {
            dom.push_back(dsus[b0].leader(edges[i][0]));
            if (!dsus[b0].same(edges[i][0], edges[i][1])) dom.push_back(dsus[b0].leader(edges[i][1]));
        }
    }
    sort(dom.begin(), dom.end());
    dom.resize(unique(dom.begin(), dom.end()) - dom.begin());
    int c = dom.size();
    int x = lower_bound(dom.begin(), dom.end(), dsus[b0].leader(X)) - dom.begin();
    int y = lower_bound(dom.begin(), dom.end(), dsus[b0].leader(Y)) - dom.begin();
    LiteDSU dsu(c);
    int res = -2;
    vector<int> defer;
    for (int u = 0; u < c; u++) if (dsus[b0].isOk(dom[u])) dsu.ok[u] = true;
    for (int i = B * b0; i < min(m, B * b0 + B); i++) {
        if (dsus[b0 + 1].same(X, edges[i][0]) || dsus[b0 + 1].same(X, edges[i][1])) {
            int u = lower_bound(dom.begin(), dom.end(), dsus[b0].leader(edges[i][0])) - dom.begin();
            int v = dsus[b0].same(edges[i][0], edges[i][1]) ? u : lower_bound(dom.begin(), dom.end(), dsus[b0].leader(edges[i][1])) - dom.begin();
            if (dsu.same(u, v)) {
                dsu.ok[dsu.leader(u)] = true;
            } else {
                defer.push_back(edges[i][0]);
                defer.push_back(edges[i][1]);
                if (++dsus[b0].deg[edges[i][0]] >= 3) dsu.ok[dsu.leader(u)] = true;
                if (++dsus[b0].deg[edges[i][1]] >= 3) dsu.ok[dsu.leader(v)] = true;
                dsu.unionize(u, v);
            }
            if (dsu.same(x, y) && dsu.isOk(x)) {
                res = edges[i][2];
                break;
            }
        }
    }
    for (int u : defer) {
        dsus[b0].deg[u]--;
    }
    return res;
}

Subtask #1
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 97 ms 214612 KB Output is correct
10 Correct 146 ms 319008 KB Output is correct
11 Correct 147 ms 309844 KB Output is correct
12 Correct 152 ms 345652 KB Output is correct
13 Correct 153 ms 345676 KB Output is correct
14 Correct 118 ms 213624 KB Output is correct
15 Correct 182 ms 326328 KB Output is correct
16 Correct 184 ms 307460 KB Output is correct
17 Correct 198 ms 347320 KB Output is correct
18 Correct 218 ms 347440 KB Output is correct
19 Correct 450 ms 13216 KB Output is correct
20 Correct 326 ms 337300 KB Output is correct
21 Correct 490 ms 307496 KB Output is correct
22 Execution timed out 2057 ms 351572 KB Time limit exceeded
23 Halted 0 ms 0 KB -

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Execution timed out 2084 ms 312592 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 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 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 2 ms 344 KB Output is correct
20 Correct 2 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 496 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 97 ms 214612 KB Output is correct
11 Correct 146 ms 319008 KB Output is correct
12 Correct 147 ms 309844 KB Output is correct
13 Correct 152 ms 345652 KB Output is correct
14 Correct 153 ms 345676 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 2 ms 344 KB Output is correct
25 Correct 2 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 496 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 7 ms 7260 KB Output is correct
35 Correct 154 ms 345456 KB Output is correct
36 Correct 154 ms 345516 KB Output is correct
37 Correct 152 ms 345680 KB Output is correct
38 Correct 152 ms 337220 KB Output is correct
39 Correct 141 ms 332808 KB Output is correct
40 Correct 125 ms 279380 KB Output is correct
41 Correct 150 ms 345516 KB Output is correct
42 Correct 161 ms 345684 KB Output is correct
43 Correct 167 ms 345660 KB Output is correct
44 Correct 152 ms 345596 KB Output is correct
45 Correct 184 ms 399484 KB Output is correct
46 Correct 150 ms 345584 KB Output is correct
47 Correct 149 ms 346660 KB Output is correct
48 Correct 174 ms 371284 KB Output is correct
49 Correct 47 ms 11772 KB Output is correct
50 Correct 47 ms 35152 KB Output is correct
51 Correct 142 ms 286560 KB Output is correct
52 Runtime error 238 ms 524288 KB Execution killed with signal 9
53 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 97 ms 214612 KB Output is correct
10 Correct 146 ms 319008 KB Output is correct
11 Correct 147 ms 309844 KB Output is correct
12 Correct 152 ms 345652 KB Output is correct
13 Correct 153 ms 345676 KB Output is correct
14 Correct 118 ms 213624 KB Output is correct
15 Correct 182 ms 326328 KB Output is correct
16 Correct 184 ms 307460 KB Output is correct
17 Correct 198 ms 347320 KB Output is correct
18 Correct 218 ms 347440 KB Output is correct
19 Execution timed out 2084 ms 312592 KB Time limit exceeded
20 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 97 ms 214612 KB Output is correct
11 Correct 146 ms 319008 KB Output is correct
12 Correct 147 ms 309844 KB Output is correct
13 Correct 152 ms 345652 KB Output is correct
14 Correct 153 ms 345676 KB Output is correct
15 Correct 118 ms 213624 KB Output is correct
16 Correct 182 ms 326328 KB Output is correct
17 Correct 184 ms 307460 KB Output is correct
18 Correct 198 ms 347320 KB Output is correct
19 Correct 218 ms 347440 KB Output is correct
20 Execution timed out 2084 ms 312592 KB Time limit exceeded
21 Halted 0 ms 0 KB -