Submission #764620

# Submission time Handle Problem Language Result Execution time Memory
764620 2023-06-23T16:35:46 Z Kihihihi Swapping Cities (APIO20_swap) C++17
100 / 100
606 ms 56292 KB
#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <iomanip>
#include <algorithm>
#include <numeric>
#include <cmath>
#include <cassert>
#include <ctime>
#include <chrono>
#include <cstdio>
#include <random>
#include <vector>
#include <string>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <deque>
#include <queue>
#include <bitset>
#include <list>
#include <fstream>
#include <functional>
#include <complex>
#include "swap.h"
using namespace std;
mt19937_64 rnd(chrono::steady_clock::now().time_since_epoch().count());

const int INF = 1e9, MOD = 1e9 + 7, MOD2 = 998244353, LOG = 19;
const long double EPS = 1e-9, PI = acos(-1);

struct dsu
{
    int n;
    vector<int> p, deg, res;
    vector<vector<int>> has;

    dsu() {}

    dsu(int in)
    {
        n = in;
        p.resize(n);
        iota(p.begin(), p.end(), 0);
        deg.resize(n);
        res.resize(n, INF);
        has.resize(n);
        for (int i = 0; i < n; i++)
        {
            has[i] = { i };
        }
    }

    bool unite(int a, int b, int idx)
    {
        deg[a]++;
        deg[b]++;
        bool thr = (deg[a] >= 3 || deg[b] >= 3);

        a = p[a];
        b = p[b];
        if (a == b)
        {
            if (res[a] == INF)
            {
                for (auto& i : has[a])
                {
                    res[i] = idx;
                }
            }
            return false;
        }

        if (has[a].size() < has[b].size())
        {
            swap(a, b);
        }
        if ((thr || res[b] != INF) && res[a] == INF)
        {
            for (auto& i : has[a])
            {
                res[i] = idx;
            }
        }
        if ((thr || res[a] != INF) && res[b] == INF)
        {
            for (auto& i : has[b])
            {
                res[i] = idx;
            }
        }
        for (auto& i : has[b])
        {
            has[a].push_back(i);
            p[i] = a;
        }
        has[b] = {};
        return true;
    }

    int get(int v)
    {
        return res[v];
    }
};

struct edge
{
    int to, idx;
};

const int N = 1e5 + 5;

int n, m;
vector<edge> g[N];
vector<int> binup[N], maxidx[N], h;
vector<int> ew;
dsu kek;

void init(int N, int M, std::vector<int> U, std::vector<int> V, std::vector<int> W)
{
    n = N;
    m = M;
    vector<tuple<int, int, int>> e;
    e.resize(m);
    for (int i = 0; i < m; i++)
    {
        e[i] = { W[i], U[i], V[i] };
    }
    sort(e.begin(), e.end());

    ew.resize(m);
    for (int i = 0; i < m; i++)
    {
        ew[i] = get<0>(e[i]);
    }

    kek = dsu(n);
    for (int i = 0; i < m; i++)
    {
        auto& [w, a, b] = e[i];
        if (kek.unite(a, b, i))
        {
            g[a].push_back({ b, i });
            g[b].push_back({ a, i });
        }
    }
    fill_n(binup, n, vector<int>(LOG));
    fill_n(maxidx, n, vector<int>(LOG, INF));
    h.resize(n);

    auto build = [&](auto build, int v, int p) -> void
    {
        if (p == -1)
        {
            h[v] = 0;
            binup[v][0] = 0;
            maxidx[v][0] = -1;
        }
        else
        {
            h[v] = h[p] + 1;
            binup[v][0] = p;
        }

        for (int i = 1; i < LOG; i++)
        {
            binup[v][i] = binup[binup[v][i - 1]][i - 1];
            maxidx[v][i] = max(maxidx[v][i - 1], maxidx[binup[v][i - 1]][i - 1]);
        }

        for (auto& i : g[v])
        {
            if (i.to == p)
            {
                continue;
            }

            maxidx[i.to][0] = i.idx;
            build(build, i.to, v);
        }
    };

    build(build, 0, -1);
}

int getMinimumFuelCapacity(int X, int Y)
{
    auto get_la = [&](int v, int x) -> int
    {
        for (int i = LOG - 1; i > -1; i--)
        {
            if (h[v] - h[binup[v][i]] <= x)
            {
                x -= h[v] - h[binup[v][i]];
                v = binup[v][i];
            }
        }
        return v;
    };

    auto get_lca = [&](int a, int b) -> int
    {
        if (h[a] < h[b])
        {
            swap(a, b);
        }

        a = get_la(a, h[a] - h[b]);
        if (a == b)
        {
            return a;
        }

        for (int i = LOG - 1; i > -1; i--)
        {
            if (binup[a][i] != binup[b][i])
            {
                a = binup[a][i];
                b = binup[b][i];
            }
        }
        return binup[a][0];
    };

    int a = X, b = Y, c = get_lca(a, b);
    int ans = min(kek.get(a), kek.get(b));
        
    auto get_up = [&](int& ver) -> void
    {
        for (int i = LOG - 1; i > -1; i--)
        {
            if (h[binup[ver][i]] >= h[c])
            {
                ans = max(ans, maxidx[ver][i]);
                ver = binup[ver][i];
            }
        }
    };

    get_up(a);
    get_up(b);

    if (ans == INF)
    {
        return -1;
    }
    return ew[ans];
}

/*
int main() {
    int N, M;
    assert(2 == scanf("%d %d", &N, &M));

    std::vector<int> U(M), V(M), W(M);
    for (int i = 0; i < M; ++i) {
        assert(3 == scanf("%d %d %d", &U[i], &V[i], &W[i]));
    }

    int Q;
    assert(1 == scanf("%d", &Q));

    std::vector<int> X(Q), Y(Q);
    for (int i = 0; i < Q; ++i) {
        assert(2 == scanf("%d %d", &X[i], &Y[i]));
    }

    init(N, M, U, V, W);

    std::vector<int> minimum_fuel_capacities(Q);
    for (int i = 0; i < Q; ++i) {
        minimum_fuel_capacities[i] = getMinimumFuelCapacity(X[i], Y[i]);
    }

    for (int i = 0; i < Q; ++i) {
        printf("%d\n", minimum_fuel_capacities[i]);
    }

    return 0;
}
*/

/*
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⠀⠀⠀⣸⠁⢰⠃⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀
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⡇⠀⠇⠀⠀⡇⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠮⢧⣀⣻⢂⠀⠀⠀⠀⠀⠀⢧
⣇⠀⢠⠀⠀⢳⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡎⣆⠀⠀⠀⠀⠀⠘
⢻⠀⠈⠰⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠘⢮⣧⡀⠀⠀⠀⠀
⠸⡆⠀⠀⠇⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⡀⢢⡀
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*/
# Verdict Execution time Memory Grader output
1 Correct 3 ms 7252 KB Output is correct
2 Correct 3 ms 7252 KB Output is correct
3 Correct 4 ms 7252 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 4 ms 7636 KB Output is correct
6 Correct 4 ms 7636 KB Output is correct
7 Correct 4 ms 7636 KB Output is correct
8 Correct 4 ms 7636 KB Output is correct
9 Correct 133 ms 36920 KB Output is correct
10 Correct 182 ms 43992 KB Output is correct
11 Correct 171 ms 43236 KB Output is correct
12 Correct 187 ms 45544 KB Output is correct
13 Correct 181 ms 44100 KB Output is correct
14 Correct 161 ms 36612 KB Output is correct
15 Correct 555 ms 50180 KB Output is correct
16 Correct 497 ms 48296 KB Output is correct
17 Correct 509 ms 52292 KB Output is correct
18 Correct 482 ms 49592 KB Output is correct
19 Correct 119 ms 18624 KB Output is correct
20 Correct 491 ms 50084 KB Output is correct
21 Correct 488 ms 48572 KB Output is correct
22 Correct 505 ms 51676 KB Output is correct
23 Correct 473 ms 49708 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 7252 KB Output is correct
2 Correct 3 ms 7252 KB Output is correct
3 Correct 254 ms 41480 KB Output is correct
4 Correct 252 ms 46832 KB Output is correct
5 Correct 325 ms 46028 KB Output is correct
6 Correct 273 ms 46724 KB Output is correct
7 Correct 251 ms 46464 KB Output is correct
8 Correct 242 ms 45104 KB Output is correct
9 Correct 254 ms 46124 KB Output is correct
10 Correct 246 ms 44700 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 7252 KB Output is correct
2 Correct 3 ms 7252 KB Output is correct
3 Correct 4 ms 7252 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 4 ms 7636 KB Output is correct
6 Correct 4 ms 7636 KB Output is correct
7 Correct 4 ms 7636 KB Output is correct
8 Correct 4 ms 7636 KB Output is correct
9 Correct 4 ms 7252 KB Output is correct
10 Correct 4 ms 7636 KB Output is correct
11 Correct 4 ms 7616 KB Output is correct
12 Correct 4 ms 7636 KB Output is correct
13 Correct 6 ms 7612 KB Output is correct
14 Correct 4 ms 7584 KB Output is correct
15 Correct 5 ms 7648 KB Output is correct
16 Correct 4 ms 7660 KB Output is correct
17 Correct 4 ms 7616 KB Output is correct
18 Correct 4 ms 7636 KB Output is correct
19 Correct 4 ms 7508 KB Output is correct
20 Correct 4 ms 7636 KB Output is correct
21 Correct 4 ms 7636 KB Output is correct
22 Correct 4 ms 7508 KB Output is correct
23 Correct 4 ms 7624 KB Output is correct
24 Correct 4 ms 7764 KB Output is correct
25 Correct 4 ms 7760 KB Output is correct
26 Correct 5 ms 7736 KB Output is correct
27 Correct 6 ms 7636 KB Output is correct
28 Correct 4 ms 7636 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 7252 KB Output is correct
2 Correct 3 ms 7252 KB Output is correct
3 Correct 3 ms 7252 KB Output is correct
4 Correct 4 ms 7252 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 4 ms 7636 KB Output is correct
7 Correct 4 ms 7636 KB Output is correct
8 Correct 4 ms 7636 KB Output is correct
9 Correct 4 ms 7636 KB Output is correct
10 Correct 133 ms 36920 KB Output is correct
11 Correct 182 ms 43992 KB Output is correct
12 Correct 171 ms 43236 KB Output is correct
13 Correct 187 ms 45544 KB Output is correct
14 Correct 181 ms 44100 KB Output is correct
15 Correct 4 ms 7636 KB Output is correct
16 Correct 4 ms 7616 KB Output is correct
17 Correct 4 ms 7636 KB Output is correct
18 Correct 6 ms 7612 KB Output is correct
19 Correct 4 ms 7584 KB Output is correct
20 Correct 5 ms 7648 KB Output is correct
21 Correct 4 ms 7660 KB Output is correct
22 Correct 4 ms 7616 KB Output is correct
23 Correct 4 ms 7636 KB Output is correct
24 Correct 4 ms 7508 KB Output is correct
25 Correct 4 ms 7636 KB Output is correct
26 Correct 4 ms 7636 KB Output is correct
27 Correct 4 ms 7508 KB Output is correct
28 Correct 4 ms 7624 KB Output is correct
29 Correct 4 ms 7764 KB Output is correct
30 Correct 4 ms 7760 KB Output is correct
31 Correct 5 ms 7736 KB Output is correct
32 Correct 6 ms 7636 KB Output is correct
33 Correct 4 ms 7636 KB Output is correct
34 Correct 15 ms 12372 KB Output is correct
35 Correct 184 ms 47032 KB Output is correct
36 Correct 227 ms 45844 KB Output is correct
37 Correct 170 ms 44952 KB Output is correct
38 Correct 157 ms 43956 KB Output is correct
39 Correct 135 ms 43460 KB Output is correct
40 Correct 120 ms 40428 KB Output is correct
41 Correct 177 ms 46584 KB Output is correct
42 Correct 210 ms 46884 KB Output is correct
43 Correct 157 ms 45116 KB Output is correct
44 Correct 130 ms 44748 KB Output is correct
45 Correct 117 ms 40040 KB Output is correct
46 Correct 189 ms 45384 KB Output is correct
47 Correct 141 ms 43492 KB Output is correct
48 Correct 136 ms 42824 KB Output is correct
49 Correct 50 ms 16616 KB Output is correct
50 Correct 43 ms 16556 KB Output is correct
51 Correct 100 ms 34308 KB Output is correct
52 Correct 187 ms 49032 KB Output is correct
53 Correct 157 ms 49272 KB Output is correct
54 Correct 206 ms 52336 KB Output is correct
55 Correct 159 ms 45740 KB Output is correct
56 Correct 155 ms 47988 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 7252 KB Output is correct
2 Correct 3 ms 7252 KB Output is correct
3 Correct 4 ms 7252 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 4 ms 7636 KB Output is correct
6 Correct 4 ms 7636 KB Output is correct
7 Correct 4 ms 7636 KB Output is correct
8 Correct 4 ms 7636 KB Output is correct
9 Correct 133 ms 36920 KB Output is correct
10 Correct 182 ms 43992 KB Output is correct
11 Correct 171 ms 43236 KB Output is correct
12 Correct 187 ms 45544 KB Output is correct
13 Correct 181 ms 44100 KB Output is correct
14 Correct 161 ms 36612 KB Output is correct
15 Correct 555 ms 50180 KB Output is correct
16 Correct 497 ms 48296 KB Output is correct
17 Correct 509 ms 52292 KB Output is correct
18 Correct 482 ms 49592 KB Output is correct
19 Correct 254 ms 41480 KB Output is correct
20 Correct 252 ms 46832 KB Output is correct
21 Correct 325 ms 46028 KB Output is correct
22 Correct 273 ms 46724 KB Output is correct
23 Correct 251 ms 46464 KB Output is correct
24 Correct 242 ms 45104 KB Output is correct
25 Correct 254 ms 46124 KB Output is correct
26 Correct 246 ms 44700 KB Output is correct
27 Correct 4 ms 7636 KB Output is correct
28 Correct 4 ms 7616 KB Output is correct
29 Correct 4 ms 7636 KB Output is correct
30 Correct 6 ms 7612 KB Output is correct
31 Correct 4 ms 7584 KB Output is correct
32 Correct 5 ms 7648 KB Output is correct
33 Correct 4 ms 7660 KB Output is correct
34 Correct 4 ms 7616 KB Output is correct
35 Correct 4 ms 7636 KB Output is correct
36 Correct 15 ms 12372 KB Output is correct
37 Correct 184 ms 47032 KB Output is correct
38 Correct 227 ms 45844 KB Output is correct
39 Correct 170 ms 44952 KB Output is correct
40 Correct 157 ms 43956 KB Output is correct
41 Correct 135 ms 43460 KB Output is correct
42 Correct 120 ms 40428 KB Output is correct
43 Correct 177 ms 46584 KB Output is correct
44 Correct 210 ms 46884 KB Output is correct
45 Correct 157 ms 45116 KB Output is correct
46 Correct 130 ms 44748 KB Output is correct
47 Correct 30 ms 12344 KB Output is correct
48 Correct 484 ms 50112 KB Output is correct
49 Correct 606 ms 49284 KB Output is correct
50 Correct 495 ms 48684 KB Output is correct
51 Correct 523 ms 48060 KB Output is correct
52 Correct 386 ms 45624 KB Output is correct
53 Correct 256 ms 37028 KB Output is correct
54 Correct 559 ms 50456 KB Output is correct
55 Correct 464 ms 50488 KB Output is correct
56 Correct 563 ms 49376 KB Output is correct
57 Correct 360 ms 48940 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 7252 KB Output is correct
2 Correct 3 ms 7252 KB Output is correct
3 Correct 3 ms 7252 KB Output is correct
4 Correct 4 ms 7252 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 4 ms 7636 KB Output is correct
7 Correct 4 ms 7636 KB Output is correct
8 Correct 4 ms 7636 KB Output is correct
9 Correct 4 ms 7636 KB Output is correct
10 Correct 133 ms 36920 KB Output is correct
11 Correct 182 ms 43992 KB Output is correct
12 Correct 171 ms 43236 KB Output is correct
13 Correct 187 ms 45544 KB Output is correct
14 Correct 181 ms 44100 KB Output is correct
15 Correct 161 ms 36612 KB Output is correct
16 Correct 555 ms 50180 KB Output is correct
17 Correct 497 ms 48296 KB Output is correct
18 Correct 509 ms 52292 KB Output is correct
19 Correct 482 ms 49592 KB Output is correct
20 Correct 254 ms 41480 KB Output is correct
21 Correct 252 ms 46832 KB Output is correct
22 Correct 325 ms 46028 KB Output is correct
23 Correct 273 ms 46724 KB Output is correct
24 Correct 251 ms 46464 KB Output is correct
25 Correct 242 ms 45104 KB Output is correct
26 Correct 254 ms 46124 KB Output is correct
27 Correct 246 ms 44700 KB Output is correct
28 Correct 4 ms 7636 KB Output is correct
29 Correct 4 ms 7616 KB Output is correct
30 Correct 4 ms 7636 KB Output is correct
31 Correct 6 ms 7612 KB Output is correct
32 Correct 4 ms 7584 KB Output is correct
33 Correct 5 ms 7648 KB Output is correct
34 Correct 4 ms 7660 KB Output is correct
35 Correct 4 ms 7616 KB Output is correct
36 Correct 4 ms 7636 KB Output is correct
37 Correct 15 ms 12372 KB Output is correct
38 Correct 184 ms 47032 KB Output is correct
39 Correct 227 ms 45844 KB Output is correct
40 Correct 170 ms 44952 KB Output is correct
41 Correct 157 ms 43956 KB Output is correct
42 Correct 135 ms 43460 KB Output is correct
43 Correct 120 ms 40428 KB Output is correct
44 Correct 177 ms 46584 KB Output is correct
45 Correct 210 ms 46884 KB Output is correct
46 Correct 157 ms 45116 KB Output is correct
47 Correct 130 ms 44748 KB Output is correct
48 Correct 30 ms 12344 KB Output is correct
49 Correct 484 ms 50112 KB Output is correct
50 Correct 606 ms 49284 KB Output is correct
51 Correct 495 ms 48684 KB Output is correct
52 Correct 523 ms 48060 KB Output is correct
53 Correct 386 ms 45624 KB Output is correct
54 Correct 256 ms 37028 KB Output is correct
55 Correct 559 ms 50456 KB Output is correct
56 Correct 464 ms 50488 KB Output is correct
57 Correct 563 ms 49376 KB Output is correct
58 Correct 360 ms 48940 KB Output is correct
59 Correct 119 ms 18624 KB Output is correct
60 Correct 491 ms 50084 KB Output is correct
61 Correct 488 ms 48572 KB Output is correct
62 Correct 505 ms 51676 KB Output is correct
63 Correct 473 ms 49708 KB Output is correct
64 Correct 4 ms 7508 KB Output is correct
65 Correct 4 ms 7636 KB Output is correct
66 Correct 4 ms 7636 KB Output is correct
67 Correct 4 ms 7508 KB Output is correct
68 Correct 4 ms 7624 KB Output is correct
69 Correct 4 ms 7764 KB Output is correct
70 Correct 4 ms 7760 KB Output is correct
71 Correct 5 ms 7736 KB Output is correct
72 Correct 6 ms 7636 KB Output is correct
73 Correct 4 ms 7636 KB Output is correct
74 Correct 117 ms 40040 KB Output is correct
75 Correct 189 ms 45384 KB Output is correct
76 Correct 141 ms 43492 KB Output is correct
77 Correct 136 ms 42824 KB Output is correct
78 Correct 50 ms 16616 KB Output is correct
79 Correct 43 ms 16556 KB Output is correct
80 Correct 100 ms 34308 KB Output is correct
81 Correct 187 ms 49032 KB Output is correct
82 Correct 157 ms 49272 KB Output is correct
83 Correct 206 ms 52336 KB Output is correct
84 Correct 159 ms 45740 KB Output is correct
85 Correct 155 ms 47988 KB Output is correct
86 Correct 67 ms 20604 KB Output is correct
87 Correct 566 ms 48992 KB Output is correct
88 Correct 560 ms 49112 KB Output is correct
89 Correct 300 ms 44720 KB Output is correct
90 Correct 135 ms 20756 KB Output is correct
91 Correct 164 ms 22904 KB Output is correct
92 Correct 259 ms 37908 KB Output is correct
93 Correct 552 ms 52820 KB Output is correct
94 Correct 350 ms 52928 KB Output is correct
95 Correct 534 ms 56292 KB Output is correct
96 Correct 500 ms 48448 KB Output is correct
97 Correct 347 ms 49720 KB Output is correct