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Submission #965056

# Submission time Handle Problem Language Result Execution time Memory
965056 2024-04-18T04:26:38 Z Pannda Swapping Cities (APIO20_swap) C++17
37 / 100
 2000 ms 509500 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 = 320;
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 1 ms 344 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 468 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 440 KB Output is correct
9 Correct 141 ms 159248 KB Output is correct
10 Correct 224 ms 236460 KB Output is correct
11 Correct 202 ms 229348 KB Output is correct
12 Correct 216 ms 256048 KB Output is correct
13 Correct 249 ms 255984 KB Output is correct
14 Correct 138 ms 158924 KB Output is correct
15 Correct 241 ms 243472 KB Output is correct
16 Correct 245 ms 229228 KB Output is correct
17 Correct 265 ms 259120 KB Output is correct
18 Correct 280 ms 259168 KB Output is correct
19 Correct 813 ms 12152 KB Output is correct
20 Correct 582 ms 248548 KB Output is correct
21 Execution timed out 2025 ms 224168 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Execution timed out 2028 ms 232528 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 468 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 440 KB Output is correct
9 Correct 1 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 344 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 456 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 344 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 604 KB Output is correct
27 Correct 1 ms 392 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 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 600 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 468 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 440 KB Output is correct
10 Correct 141 ms 159248 KB Output is correct
11 Correct 224 ms 236460 KB Output is correct
12 Correct 202 ms 229348 KB Output is correct
13 Correct 216 ms 256048 KB Output is correct
14 Correct 249 ms 255984 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 456 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 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
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 392 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 9 ms 5852 KB Output is correct
35 Correct 204 ms 256024 KB Output is correct
36 Correct 207 ms 256088 KB Output is correct
37 Correct 212 ms 255972 KB Output is correct
38 Correct 218 ms 249460 KB Output is correct
39 Correct 221 ms 245876 KB Output is correct
40 Correct 171 ms 206912 KB Output is correct
41 Correct 211 ms 256192 KB Output is correct
42 Correct 211 ms 255944 KB Output is correct
43 Correct 228 ms 255968 KB Output is correct
44 Correct 222 ms 256064 KB Output is correct
45 Correct 262 ms 295920 KB Output is correct
46 Correct 225 ms 256132 KB Output is correct
47 Correct 220 ms 256868 KB Output is correct
48 Correct 267 ms 275212 KB Output is correct
49 Correct 57 ms 11888 KB Output is correct
50 Correct 53 ms 28484 KB Output is correct
51 Correct 185 ms 212748 KB Output is correct
52 Correct 327 ms 412268 KB Output is correct
53 Correct 408 ms 455952 KB Output is correct
54 Correct 382 ms 509500 KB Output is correct
55 Correct 234 ms 256112 KB Output is correct
56 Correct 381 ms 438156 KB Output is correct

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 468 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 440 KB Output is correct
9 Correct 141 ms 159248 KB Output is correct
10 Correct 224 ms 236460 KB Output is correct
11 Correct 202 ms 229348 KB Output is correct
12 Correct 216 ms 256048 KB Output is correct
13 Correct 249 ms 255984 KB Output is correct
14 Correct 138 ms 158924 KB Output is correct
15 Correct 241 ms 243472 KB Output is correct
16 Correct 245 ms 229228 KB Output is correct
17 Correct 265 ms 259120 KB Output is correct
18 Correct 280 ms 259168 KB Output is correct
19 Execution timed out 2028 ms 232528 KB Time limit exceeded
20 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 600 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 468 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 440 KB Output is correct
10 Correct 141 ms 159248 KB Output is correct
11 Correct 224 ms 236460 KB Output is correct
12 Correct 202 ms 229348 KB Output is correct
13 Correct 216 ms 256048 KB Output is correct
14 Correct 249 ms 255984 KB Output is correct
15 Correct 138 ms 158924 KB Output is correct
16 Correct 241 ms 243472 KB Output is correct
17 Correct 245 ms 229228 KB Output is correct
18 Correct 265 ms 259120 KB Output is correct
19 Correct 280 ms 259168 KB Output is correct
20 Execution timed out 2028 ms 232528 KB Time limit exceeded
21 Halted 0 ms 0 KB -