oj.uz

Submission #894144

# Submission time Handle Problem Language Result Execution time Memory
894144 2023-12-28T01:58:54 Z vovik Cats or Dogs (JOI18_catdog) C++17
100 / 100
 106 ms 25432 KB 
#pragma GCC optimize(3)
#include <bits/stdc++.h>

void initialize(int N, std::vector<int> A, std::vector<int> B);

int cat(int v), dog(int v), neighbor(int v);

struct node {
    int a00{}, a01{}, a10{}, a11{};
};

struct segTree {
    int n;
    std::vector<node> t;

    node merge(node a, node b) {
        node c;
        c.a00 = std::min(a.a00 + b.a00, a.a01 + b.a10);
        c.a01 = std::min(a.a00 + b.a01, a.a01 + b.a11);
        c.a10 = std::min(a.a10 + b.a00, a.a11 + b.a10);
        c.a11 = std::min(a.a10 + b.a01, a.a11 + b.a11);
        return c;
    }

    segTree() = default;

    segTree(int n) {
        while (__builtin_popcount(n) != 1) ++n;
        this->n = n, t = std::vector<node>(n * 2);
        for (auto&f: t) f.a01 = f.a10 = 1;
    }

    void modify(int i, int x, int y) {
        i += n, t[i].a00 += x, t[i].a01 += x, t[i].a10 += y, t[i].a11 += y;
        while (i /= 2) t[i] = merge(t[i * 2], t[i * 2 + 1]);
    }

    std::pair<int, int> get() {
        int x = std::min(t[1].a00, t[1].a01), y = std::min(t[1].a10, t[1].a11);
        return {std::min(x, y + 1), std::min(x + 1, y)};
    }
};

segTree ok[100005];

int pos[100005], p[100005], f[100005], sz[100005], len[100005], tp[100005];

std::vector<int> g[100005];

void cfs(int v = 1, int p = -1) {
    for (int i = 0; i < g[v].size(); ++i) if (g[v][i] == p) g[v].erase(g[v].begin() + i);
    sz[v] = 1;
    for (auto u: g[v]) if (u != p) cfs(u, v), sz[v] += sz[u], ::p[u] = v;
    std::sort(g[v].begin(), g[v].end(), [](const int&v, const int&u) { return sz[v] > sz[u]; });
}

void dfs(int v = 1, int s = 1) {
    f[v] = s, pos[v] = len[s]++;
    for (auto u: g[v]) dfs(u, u == g[v].front() ? s : u);
}

void initialize(int N, std::vector<int> A, std::vector<int> B) {
    for (int i = 0; i < A.size(); ++i) g[A[i]].push_back(B[i]), g[B[i]].push_back(A[i]);
    cfs(), dfs();
    for (int v = 1; v <= N; ++v) if (!pos[v]) ok[v] = len[v];
}

void modify(int v, int x, int y) {
    while (v) {
        auto [w0, w1] = ok[f[v]].get();
        ok[f[v]].modify(pos[v], x, y);
        auto [n0, n1] = ok[f[v]].get();
        x = n0 - w0, y = n1 - w1, v = p[f[v]];
    }
}

int query() {
    auto [a, b] = ok[1].get();
    return std::min(a, b);
}

int cat(int v) { return tp[v] = 1, modify(v, 1e9, 0), query(); }
int dog(int v) { return tp[v] = 2, modify(v, 0, 1e9), query(); }
int neighbor(int v) { return modify(v, -1e9 * (tp[v] == 1), -1e9 * (tp[v] == 2)), tp[v] = 0, query(); }

Compilation message

catdog.cpp: In function 'void cfs(int, int)':
catdog.cpp:51:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   51 |     for (int i = 0; i < g[v].size(); ++i) if (g[v][i] == p) g[v].erase(g[v].begin() + i);
      |                     ~~^~~~~~~~~~~~~
catdog.cpp: In function 'void initialize(int, std::vector<int>, std::vector<int>)':
catdog.cpp:63:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   63 |     for (int i = 0; i < A.size(); ++i) g[A[i]].push_back(B[i]), g[B[i]].push_back(A[i]);
      |                     ~~^~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 2 ms 8028 KB Output is correct
3 Correct 2 ms 8028 KB Output is correct
4 Correct 2 ms 8028 KB Output is correct
5 Correct 3 ms 8200 KB Output is correct
6 Correct 2 ms 8028 KB Output is correct
7 Correct 2 ms 8028 KB Output is correct
8 Correct 2 ms 8028 KB Output is correct
9 Correct 2 ms 8024 KB Output is correct
10 Correct 3 ms 8024 KB Output is correct
11 Correct 2 ms 8028 KB Output is correct
12 Correct 2 ms 8028 KB Output is correct
13 Correct 2 ms 8028 KB Output is correct
14 Correct 2 ms 8028 KB Output is correct
15 Correct 2 ms 8024 KB Output is correct
16 Correct 2 ms 8028 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 2 ms 8028 KB Output is correct
3 Correct 2 ms 8028 KB Output is correct
4 Correct 2 ms 8028 KB Output is correct
5 Correct 3 ms 8200 KB Output is correct
6 Correct 2 ms 8028 KB Output is correct
7 Correct 2 ms 8028 KB Output is correct
8 Correct 2 ms 8028 KB Output is correct
9 Correct 2 ms 8024 KB Output is correct
10 Correct 3 ms 8024 KB Output is correct
11 Correct 2 ms 8028 KB Output is correct
12 Correct 2 ms 8028 KB Output is correct
13 Correct 2 ms 8028 KB Output is correct
14 Correct 2 ms 8028 KB Output is correct
15 Correct 2 ms 8024 KB Output is correct
16 Correct 2 ms 8028 KB Output is correct
17 Correct 3 ms 8284 KB Output is correct
18 Correct 3 ms 8284 KB Output is correct
19 Correct 2 ms 8284 KB Output is correct
20 Correct 3 ms 8284 KB Output is correct
21 Correct 3 ms 8284 KB Output is correct
22 Correct 2 ms 8296 KB Output is correct
23 Correct 3 ms 8284 KB Output is correct
24 Correct 3 ms 8284 KB Output is correct
25 Correct 3 ms 8284 KB Output is correct
26 Correct 2 ms 8284 KB Output is correct
27 Correct 2 ms 8284 KB Output is correct
28 Correct 2 ms 8284 KB Output is correct
29 Correct 3 ms 8284 KB Output is correct
30 Correct 2 ms 8284 KB Output is correct
31 Correct 3 ms 8284 KB Output is correct
32 Correct 2 ms 8284 KB Output is correct

Subtask #3
62.0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 2 ms 8028 KB Output is correct
3 Correct 2 ms 8028 KB Output is correct
4 Correct 2 ms 8028 KB Output is correct
5 Correct 3 ms 8200 KB Output is correct
6 Correct 2 ms 8028 KB Output is correct
7 Correct 2 ms 8028 KB Output is correct
8 Correct 2 ms 8028 KB Output is correct
9 Correct 2 ms 8024 KB Output is correct
10 Correct 3 ms 8024 KB Output is correct
11 Correct 2 ms 8028 KB Output is correct
12 Correct 2 ms 8028 KB Output is correct
13 Correct 2 ms 8028 KB Output is correct
14 Correct 2 ms 8028 KB Output is correct
15 Correct 2 ms 8024 KB Output is correct
16 Correct 2 ms 8028 KB Output is correct
17 Correct 3 ms 8284 KB Output is correct
18 Correct 3 ms 8284 KB Output is correct
19 Correct 2 ms 8284 KB Output is correct
20 Correct 3 ms 8284 KB Output is correct
21 Correct 3 ms 8284 KB Output is correct
22 Correct 2 ms 8296 KB Output is correct
23 Correct 3 ms 8284 KB Output is correct
24 Correct 3 ms 8284 KB Output is correct
25 Correct 3 ms 8284 KB Output is correct
26 Correct 2 ms 8284 KB Output is correct
27 Correct 2 ms 8284 KB Output is correct
28 Correct 2 ms 8284 KB Output is correct
29 Correct 3 ms 8284 KB Output is correct
30 Correct 2 ms 8284 KB Output is correct
31 Correct 3 ms 8284 KB Output is correct
32 Correct 2 ms 8284 KB Output is correct
33 Correct 47 ms 13508 KB Output is correct
34 Correct 31 ms 14168 KB Output is correct
35 Correct 43 ms 12364 KB Output is correct
36 Correct 72 ms 17220 KB Output is correct
37 Correct 12 ms 10840 KB Output is correct
38 Correct 81 ms 18200 KB Output is correct
39 Correct 88 ms 18168 KB Output is correct
40 Correct 99 ms 18244 KB Output is correct
41 Correct 80 ms 18244 KB Output is correct
42 Correct 81 ms 18340 KB Output is correct
43 Correct 90 ms 18252 KB Output is correct
44 Correct 80 ms 18332 KB Output is correct
45 Correct 79 ms 18240 KB Output is correct
46 Correct 81 ms 18332 KB Output is correct
47 Correct 106 ms 18328 KB Output is correct
48 Correct 41 ms 15772 KB Output is correct
49 Correct 46 ms 17620 KB Output is correct
50 Correct 15 ms 10212 KB Output is correct
51 Correct 18 ms 11732 KB Output is correct
52 Correct 10 ms 10076 KB Output is correct
53 Correct 53 ms 17488 KB Output is correct
54 Correct 29 ms 12296 KB Output is correct
55 Correct 63 ms 15272 KB Output is correct
56 Correct 52 ms 12792 KB Output is correct
57 Correct 60 ms 16980 KB Output is correct
58 Correct 15 ms 12244 KB Output is correct
59 Correct 19 ms 11612 KB Output is correct
60 Correct 52 ms 16648 KB Output is correct
61 Correct 50 ms 17100 KB Output is correct
62 Correct 37 ms 15324 KB Output is correct
63 Correct 23 ms 15448 KB Output is correct
64 Correct 25 ms 17292 KB Output is correct
65 Correct 36 ms 23636 KB Output is correct
66 Correct 30 ms 11864 KB Output is correct
67 Correct 31 ms 18516 KB Output is correct
68 Correct 54 ms 22388 KB Output is correct
69 Correct 12 ms 9564 KB Output is correct
70 Correct 5 ms 8284 KB Output is correct
71 Correct 27 ms 15404 KB Output is correct
72 Correct 40 ms 21644 KB Output is correct
73 Correct 87 ms 25432 KB Output is correct
74 Correct 79 ms 21840 KB Output is correct
75 Correct 66 ms 25428 KB Output is correct
76 Correct 65 ms 25168 KB Output is correct
77 Correct 87 ms 22360 KB Output is correct