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Submission #965054

# Submission time Handle Problem Language Result Execution time Memory
965054 2024-04-18T04:25:10 Z Pannda Swapping Cities (APIO20_swap) C++17
37 / 100
 2000 ms 465084 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), 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;
vector<int> mp;

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]);
        }
        for (int u = 0; u < n; u++) dsus.back().leader(u);
    }
    b++;

    mp.resize(n, -1);
}

int getMinimumFuelCapacity(int X, int Y) {
    if (!dsus.back().same(X, Y) || !dsus.back().isOk(X)) return -1;
    int b0 = [&]() -> int {
        int l = 0, r = b - 2;
        while (l < r) {
            int m = (l + r + 1) >> 1;
            if (!dsus[m].same(X, Y) || !dsus[m].isOk(X)) {
                l = m;
            } else {
                r = m - 1;
            }
        }
        return l;
    }();
    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])) {
            int u = dsus[b0].leader(edges[i][0]);
            int v = dsus[b0].leader(edges[i][1]);
            if (mp[u] == -1) mp[u] = 0, dom.push_back(u);
            if (mp[v] == -1) mp[v] = 0, dom.push_back(v);
        }
    }
    int c = dom.size();
    int label = 0;
    for (int u : dom) mp[u] = label++;
    int x = mp[dsus[b0].leader(X)];
    int y = mp[dsus[b0].leader(Y)];
    LiteDSU dsu(c);
    int res = -2;
    vector<int> defer;
    for (int u : dom) if (dsus[b0].isOk(u)) dsu.ok[mp[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 = mp[dsus[b0].leader(edges[i][0])];
            int v = mp[dsus[b0].leader(edges[i][1])];
            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]--;
    for (int u : dom) mp[u] = -1;
    return res;
}

Subtask #1
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 600 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 344 KB Output is correct
9 Correct 128 ms 145060 KB Output is correct
10 Correct 190 ms 215292 KB Output is correct
11 Correct 181 ms 209188 KB Output is correct
12 Correct 201 ms 233300 KB Output is correct
13 Correct 213 ms 233340 KB Output is correct
14 Correct 128 ms 144600 KB Output is correct
15 Correct 236 ms 221172 KB Output is correct
16 Correct 240 ms 208068 KB Output is correct
17 Correct 254 ms 235136 KB Output is correct
18 Correct 254 ms 235060 KB Output is correct
19 Correct 300 ms 10372 KB Output is correct
20 Correct 355 ms 225900 KB Output is correct
21 Correct 463 ms 205976 KB Output is correct
22 Execution timed out 2060 ms 235084 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 1 ms 348 KB Output is correct
3 Execution timed out 2044 ms 211552 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 1 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 600 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 344 KB Output is correct
9 Correct 0 ms 348 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 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 1 ms 344 KB Output is correct
25 Correct 2 ms 344 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

Subtask #4
20.0 / 20.0

# 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 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 600 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 344 KB Output is correct
10 Correct 128 ms 145060 KB Output is correct
11 Correct 190 ms 215292 KB Output is correct
12 Correct 181 ms 209188 KB Output is correct
13 Correct 201 ms 233300 KB Output is correct
14 Correct 213 ms 233340 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 1 ms 348 KB Output is correct
25 Correct 1 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 344 KB Output is correct
30 Correct 2 ms 344 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 8 ms 5212 KB Output is correct
35 Correct 199 ms 233272 KB Output is correct
36 Correct 197 ms 233292 KB Output is correct
37 Correct 198 ms 233132 KB Output is correct
38 Correct 189 ms 227628 KB Output is correct
39 Correct 192 ms 224692 KB Output is correct
40 Correct 165 ms 188728 KB Output is correct
41 Correct 196 ms 233132 KB Output is correct
42 Correct 190 ms 233264 KB Output is correct
43 Correct 211 ms 233128 KB Output is correct
44 Correct 208 ms 233180 KB Output is correct
45 Correct 238 ms 269740 KB Output is correct
46 Correct 203 ms 233424 KB Output is correct
47 Correct 199 ms 233984 KB Output is correct
48 Correct 222 ms 250600 KB Output is correct
49 Correct 51 ms 9980 KB Output is correct
50 Correct 48 ms 25148 KB Output is correct
51 Correct 189 ms 193732 KB Output is correct
52 Correct 315 ms 375844 KB Output is correct
53 Correct 380 ms 415560 KB Output is correct
54 Correct 370 ms 465084 KB Output is correct
55 Correct 220 ms 233348 KB Output is correct
56 Correct 344 ms 399244 KB Output is correct

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 600 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 344 KB Output is correct
9 Correct 128 ms 145060 KB Output is correct
10 Correct 190 ms 215292 KB Output is correct
11 Correct 181 ms 209188 KB Output is correct
12 Correct 201 ms 233300 KB Output is correct
13 Correct 213 ms 233340 KB Output is correct
14 Correct 128 ms 144600 KB Output is correct
15 Correct 236 ms 221172 KB Output is correct
16 Correct 240 ms 208068 KB Output is correct
17 Correct 254 ms 235136 KB Output is correct
18 Correct 254 ms 235060 KB Output is correct
19 Execution timed out 2044 ms 211552 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 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 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 600 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 344 KB Output is correct
10 Correct 128 ms 145060 KB Output is correct
11 Correct 190 ms 215292 KB Output is correct
12 Correct 181 ms 209188 KB Output is correct
13 Correct 201 ms 233300 KB Output is correct
14 Correct 213 ms 233340 KB Output is correct
15 Correct 128 ms 144600 KB Output is correct
16 Correct 236 ms 221172 KB Output is correct
17 Correct 240 ms 208068 KB Output is correct
18 Correct 254 ms 235136 KB Output is correct
19 Correct 254 ms 235060 KB Output is correct
20 Execution timed out 2044 ms 211552 KB Time limit exceeded
21 Halted 0 ms 0 KB -