Submission #894171

# Submission time Handle Problem Language Result Execution time Memory
894171 2023-12-28T02:15:00 Z vovik Cats or Dogs (JOI18_catdog) C++
100 / 100
90 ms 25428 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;
        return 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), 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::nth_element(g[v].begin(), 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:47:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   47 |     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:59:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   59 |     for (int i = 0; i < A.size(); ++i) g[A[i]].push_back(B[i]), g[B[i]].push_back(A[i]);
      |                     ~~^~~~~~~~~~
catdog.cpp: In function 'void modify(int, int, int)':
catdog.cpp:66:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   66 |         auto [w0, w1] = ok[f[v]].get();
      |              ^
catdog.cpp:68:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   68 |         auto [n0, n1] = ok[f[v]].get();
      |              ^
catdog.cpp: In function 'int query()':
catdog.cpp:74:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   74 |     auto [a, b] = ok[1].get();
      |          ^
# 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 8024 KB Output is correct
4 Correct 2 ms 8028 KB Output is correct
5 Correct 2 ms 8028 KB Output is correct
6 Correct 2 ms 8248 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 8028 KB Output is correct
10 Correct 2 ms 8028 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 8092 KB Output is correct
14 Correct 2 ms 8028 KB Output is correct
15 Correct 2 ms 8264 KB Output is correct
16 Correct 2 ms 8024 KB Output is correct
# 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 8024 KB Output is correct
4 Correct 2 ms 8028 KB Output is correct
5 Correct 2 ms 8028 KB Output is correct
6 Correct 2 ms 8248 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 8028 KB Output is correct
10 Correct 2 ms 8028 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 8092 KB Output is correct
14 Correct 2 ms 8028 KB Output is correct
15 Correct 2 ms 8264 KB Output is correct
16 Correct 2 ms 8024 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 2 ms 8284 KB Output is correct
21 Correct 2 ms 8284 KB Output is correct
22 Correct 2 ms 8272 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 8256 KB Output is correct
28 Correct 3 ms 8280 KB Output is correct
29 Correct 3 ms 8284 KB Output is correct
30 Correct 3 ms 8284 KB Output is correct
31 Correct 2 ms 8284 KB Output is correct
32 Correct 2 ms 8284 KB Output is correct
# 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 8024 KB Output is correct
4 Correct 2 ms 8028 KB Output is correct
5 Correct 2 ms 8028 KB Output is correct
6 Correct 2 ms 8248 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 8028 KB Output is correct
10 Correct 2 ms 8028 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 8092 KB Output is correct
14 Correct 2 ms 8028 KB Output is correct
15 Correct 2 ms 8264 KB Output is correct
16 Correct 2 ms 8024 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 2 ms 8284 KB Output is correct
21 Correct 2 ms 8284 KB Output is correct
22 Correct 2 ms 8272 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 8256 KB Output is correct
28 Correct 3 ms 8280 KB Output is correct
29 Correct 3 ms 8284 KB Output is correct
30 Correct 3 ms 8284 KB Output is correct
31 Correct 2 ms 8284 KB Output is correct
32 Correct 2 ms 8284 KB Output is correct
33 Correct 53 ms 13640 KB Output is correct
34 Correct 31 ms 14160 KB Output is correct
35 Correct 47 ms 12268 KB Output is correct
36 Correct 78 ms 17304 KB Output is correct
37 Correct 13 ms 10844 KB Output is correct
38 Correct 83 ms 18164 KB Output is correct
39 Correct 81 ms 18324 KB Output is correct
40 Correct 85 ms 18240 KB Output is correct
41 Correct 90 ms 18268 KB Output is correct
42 Correct 82 ms 18332 KB Output is correct
43 Correct 86 ms 18236 KB Output is correct
44 Correct 84 ms 18324 KB Output is correct
45 Correct 87 ms 18248 KB Output is correct
46 Correct 82 ms 18240 KB Output is correct
47 Correct 85 ms 18236 KB Output is correct
48 Correct 37 ms 15776 KB Output is correct
49 Correct 46 ms 17600 KB Output is correct
50 Correct 15 ms 10288 KB Output is correct
51 Correct 19 ms 11964 KB Output is correct
52 Correct 9 ms 10076 KB Output is correct
53 Correct 52 ms 17492 KB Output is correct
54 Correct 31 ms 12380 KB Output is correct
55 Correct 84 ms 15440 KB Output is correct
56 Correct 41 ms 12796 KB Output is correct
57 Correct 60 ms 16976 KB Output is correct
58 Correct 18 ms 12248 KB Output is correct
59 Correct 18 ms 11608 KB Output is correct
60 Correct 41 ms 16596 KB Output is correct
61 Correct 48 ms 16980 KB Output is correct
62 Correct 30 ms 15236 KB Output is correct
63 Correct 22 ms 15452 KB Output is correct
64 Correct 26 ms 17560 KB Output is correct
65 Correct 36 ms 23620 KB Output is correct
66 Correct 28 ms 11956 KB Output is correct
67 Correct 33 ms 18524 KB Output is correct
68 Correct 56 ms 22356 KB Output is correct
69 Correct 12 ms 9816 KB Output is correct
70 Correct 4 ms 8284 KB Output is correct
71 Correct 27 ms 15452 KB Output is correct
72 Correct 42 ms 21588 KB Output is correct
73 Correct 71 ms 25428 KB Output is correct
74 Correct 69 ms 22040 KB Output is correct
75 Correct 67 ms 25424 KB Output is correct
76 Correct 64 ms 25168 KB Output is correct
77 Correct 68 ms 22352 KB Output is correct