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Submission #965048

# Submission time Handle Problem Language Result Execution time Memory
965048 2024-04-18T04:21:20 Z Pannda Swapping Cities (APIO20_swap) C++17
37 / 100
 2000 ms 485160 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 = 500;
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 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 1 ms 348 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 120 ms 151148 KB Output is correct
10 Correct 169 ms 225616 KB Output is correct
11 Correct 158 ms 218704 KB Output is correct
12 Correct 185 ms 243540 KB Output is correct
13 Correct 189 ms 243604 KB Output is correct
14 Correct 123 ms 151364 KB Output is correct
15 Correct 217 ms 230864 KB Output is correct
16 Correct 199 ms 218172 KB Output is correct
17 Correct 216 ms 245204 KB Output is correct
18 Correct 229 ms 245224 KB Output is correct
19 Execution timed out 2075 ms 9044 KB Time limit exceeded
20 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 2048 ms 221272 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 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 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 384 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 344 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 600 KB Output is correct
28 Correct 2 ms 348 KB Output is correct

Subtask #4
20.0 / 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 0 ms 348 KB Output is correct
5 Correct 1 ms 348 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 1 ms 348 KB Output is correct
10 Correct 120 ms 151148 KB Output is correct
11 Correct 169 ms 225616 KB Output is correct
12 Correct 158 ms 218704 KB Output is correct
13 Correct 185 ms 243540 KB Output is correct
14 Correct 189 ms 243604 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 384 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 344 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 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 2 ms 348 KB Output is correct
34 Correct 8 ms 5464 KB Output is correct
35 Correct 173 ms 243468 KB Output is correct
36 Correct 172 ms 243524 KB Output is correct
37 Correct 174 ms 243536 KB Output is correct
38 Correct 205 ms 238624 KB Output is correct
39 Correct 195 ms 235120 KB Output is correct
40 Correct 145 ms 197408 KB Output is correct
41 Correct 175 ms 243544 KB Output is correct
42 Correct 177 ms 243560 KB Output is correct
43 Correct 175 ms 243532 KB Output is correct
44 Correct 177 ms 243528 KB Output is correct
45 Correct 206 ms 281828 KB Output is correct
46 Correct 174 ms 243460 KB Output is correct
47 Correct 171 ms 244860 KB Output is correct
48 Correct 200 ms 262132 KB Output is correct
49 Correct 50 ms 9976 KB Output is correct
50 Correct 54 ms 25940 KB Output is correct
51 Correct 160 ms 202576 KB Output is correct
52 Correct 263 ms 392208 KB Output is correct
53 Correct 310 ms 434480 KB Output is correct
54 Correct 311 ms 485160 KB Output is correct
55 Correct 177 ms 244824 KB Output is correct
56 Correct 282 ms 417436 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 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 1 ms 348 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 120 ms 151148 KB Output is correct
10 Correct 169 ms 225616 KB Output is correct
11 Correct 158 ms 218704 KB Output is correct
12 Correct 185 ms 243540 KB Output is correct
13 Correct 189 ms 243604 KB Output is correct
14 Correct 123 ms 151364 KB Output is correct
15 Correct 217 ms 230864 KB Output is correct
16 Correct 199 ms 218172 KB Output is correct
17 Correct 216 ms 245204 KB Output is correct
18 Correct 229 ms 245224 KB Output is correct
19 Execution timed out 2048 ms 221272 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 0 ms 348 KB Output is correct
5 Correct 1 ms 348 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 1 ms 348 KB Output is correct
10 Correct 120 ms 151148 KB Output is correct
11 Correct 169 ms 225616 KB Output is correct
12 Correct 158 ms 218704 KB Output is correct
13 Correct 185 ms 243540 KB Output is correct
14 Correct 189 ms 243604 KB Output is correct
15 Correct 123 ms 151364 KB Output is correct
16 Correct 217 ms 230864 KB Output is correct
17 Correct 199 ms 218172 KB Output is correct
18 Correct 216 ms 245204 KB Output is correct
19 Correct 229 ms 245224 KB Output is correct
20 Execution timed out 2048 ms 221272 KB Time limit exceeded
21 Halted 0 ms 0 KB -