oj.uz

Submission #965068

# Submission time Handle Problem Language Result Execution time Memory
965068 2024-04-18T04:59:41 Z Pannda Swapping Cities (APIO20_swap) C++17
43 / 100
 2000 ms 434564 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() {}
    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 = 380;
DSU dsu;
struct Block {
    int c;
    vector<int> dom;
    vector<int> f;
    vector<int> deg;
    vector<bool> ok;

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

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

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

    Block(int n, int b, DSU &dsu0, DSU &dsu1, vector<array<int, 3>> &edges) {
        f = dsu0.f;
        deg = dsu0.deg;
        ok = dsu0.ok;
        vector<int> mp(n, -1);
        for (int i = B * b; i < min(m, B * b + B); i++) {
            int u = dsu0.leader(edges[i][0]);
            int v = dsu0.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);
        }
        c = dom.size();
    }
};
vector<Block> blocks;
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]; });

    dsu = DSU(n);
    for (int b = 0; B * b < m; b++) {
        DSU next_dsu = dsu;
        for (int i = B * b; i < min(m, B * b + B); i++) {
            next_dsu.unionize(edges[i][0], edges[i][1]);
        }
        blocks.push_back(Block(n, b, dsu, next_dsu, edges));
        dsu = next_dsu;
    }
    mp.resize(n, -1);
}

int getMinimumFuelCapacity(int X, int Y) {
    if (!dsu.same(X, Y) || !dsu.isOk(X)) return -1;
    int b = [&]() -> int {
        int l = 0, r = (int)blocks.size() - 1;
        while (l < r) {
            int m = (l + r + 1) >> 1;
            if (!blocks[m].same(X, Y) || !blocks[m].isOk(X)) {
                l = m;
            } else {
                r = m - 1;
            }
        }
        return l;
    }();
    int label = 0;
    for (int u : blocks[b].dom) mp[u] = label++;
    int x = mp[blocks[b].leader(X)];
    int y = mp[blocks[b].leader(Y)];
    LiteDSU dsu(blocks[b].c);
    int res = -2;
    vector<int> defer;
    for (int u : blocks[b].dom) if (blocks[b].isOk(u)) dsu.ok[mp[u]] = true;
    for (int i = B * b; i < min(m, B * b + B); i++) {
        int u = mp[blocks[b].leader(edges[i][0])];
        int v = mp[blocks[b].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 (++blocks[b].deg[edges[i][0]] >= 3) dsu.ok[dsu.leader(u)] = true;
            if (++blocks[b].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) blocks[b].deg[u]--;
    for (int u : blocks[b].dom) mp[u] = -1;
    return res;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 448 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 92 ms 137012 KB Output is correct
10 Correct 129 ms 202556 KB Output is correct
11 Correct 118 ms 196224 KB Output is correct
12 Correct 152 ms 219936 KB Output is correct
13 Correct 129 ms 219492 KB Output is correct
14 Correct 94 ms 136248 KB Output is correct
15 Correct 168 ms 209844 KB Output is correct
16 Correct 167 ms 198772 KB Output is correct
17 Correct 183 ms 224064 KB Output is correct
18 Correct 175 ms 223624 KB Output is correct
19 Correct 971 ms 12272 KB Output is correct
20 Correct 338 ms 213532 KB Output is correct
21 Correct 305 ms 196900 KB Output is correct
22 Correct 592 ms 225444 KB Output is correct
23 Correct 571 ms 224876 KB Output is correct

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Execution timed out 2083 ms 200204 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 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 448 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 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 448 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 600 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 604 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 1 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 448 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 92 ms 137012 KB Output is correct
11 Correct 129 ms 202556 KB Output is correct
12 Correct 118 ms 196224 KB Output is correct
13 Correct 152 ms 219936 KB Output is correct
14 Correct 129 ms 219492 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 448 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 600 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 8 ms 5464 KB Output is correct
35 Correct 132 ms 219700 KB Output is correct
36 Correct 131 ms 219696 KB Output is correct
37 Correct 130 ms 218668 KB Output is correct
38 Correct 130 ms 213300 KB Output is correct
39 Correct 126 ms 210652 KB Output is correct
40 Correct 115 ms 177956 KB Output is correct
41 Correct 135 ms 219932 KB Output is correct
42 Correct 132 ms 219656 KB Output is correct
43 Correct 148 ms 219288 KB Output is correct
44 Correct 134 ms 220124 KB Output is correct
45 Correct 170 ms 253208 KB Output is correct
46 Correct 158 ms 219580 KB Output is correct
47 Correct 130 ms 218524 KB Output is correct
48 Correct 150 ms 235620 KB Output is correct
49 Correct 50 ms 12396 KB Output is correct
50 Correct 47 ms 25932 KB Output is correct
51 Correct 122 ms 181212 KB Output is correct
52 Correct 235 ms 351128 KB Output is correct
53 Correct 274 ms 388992 KB Output is correct
54 Correct 300 ms 434564 KB Output is correct
55 Correct 145 ms 219248 KB Output is correct
56 Correct 236 ms 373204 KB Output is correct

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 448 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 92 ms 137012 KB Output is correct
10 Correct 129 ms 202556 KB Output is correct
11 Correct 118 ms 196224 KB Output is correct
12 Correct 152 ms 219936 KB Output is correct
13 Correct 129 ms 219492 KB Output is correct
14 Correct 94 ms 136248 KB Output is correct
15 Correct 168 ms 209844 KB Output is correct
16 Correct 167 ms 198772 KB Output is correct
17 Correct 183 ms 224064 KB Output is correct
18 Correct 175 ms 223624 KB Output is correct
19 Execution timed out 2083 ms 200204 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 1 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 448 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 92 ms 137012 KB Output is correct
11 Correct 129 ms 202556 KB Output is correct
12 Correct 118 ms 196224 KB Output is correct
13 Correct 152 ms 219936 KB Output is correct
14 Correct 129 ms 219492 KB Output is correct
15 Correct 94 ms 136248 KB Output is correct
16 Correct 168 ms 209844 KB Output is correct
17 Correct 167 ms 198772 KB Output is correct
18 Correct 183 ms 224064 KB Output is correct
19 Correct 175 ms 223624 KB Output is correct
20 Execution timed out 2083 ms 200204 KB Time limit exceeded
21 Halted 0 ms 0 KB -