oj.uz

Submission #894170

# Submission time Handle Problem Language Result Execution time Memory
894170 2023-12-28T02:14:47 Z vovik Cats or Dogs (JOI18_catdog) C++11
100 / 100
 95 ms 25556 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();
      |          ^

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8028 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 2 ms 8028 KB Output is correct
6 Correct 3 ms 8064 KB Output is correct
7 Correct 2 ms 8088 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 8024 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 3 ms 8028 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 8028 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 2 ms 8028 KB Output is correct
6 Correct 3 ms 8064 KB Output is correct
7 Correct 2 ms 8088 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 8024 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 3 ms 8028 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 2 ms 8284 KB Output is correct
21 Correct 2 ms 8144 KB Output is correct
22 Correct 2 ms 8284 KB Output is correct
23 Correct 3 ms 8284 KB Output is correct
24 Correct 3 ms 8284 KB Output is correct
25 Correct 2 ms 8284 KB Output is correct
26 Correct 3 ms 8280 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 2 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 8028 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 2 ms 8028 KB Output is correct
6 Correct 3 ms 8064 KB Output is correct
7 Correct 2 ms 8088 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 8024 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 3 ms 8028 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 2 ms 8284 KB Output is correct
21 Correct 2 ms 8144 KB Output is correct
22 Correct 2 ms 8284 KB Output is correct
23 Correct 3 ms 8284 KB Output is correct
24 Correct 3 ms 8284 KB Output is correct
25 Correct 2 ms 8284 KB Output is correct
26 Correct 3 ms 8280 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 2 ms 8284 KB Output is correct
32 Correct 2 ms 8284 KB Output is correct
33 Correct 48 ms 13516 KB Output is correct
34 Correct 31 ms 14172 KB Output is correct
35 Correct 43 ms 12372 KB Output is correct
36 Correct 73 ms 17304 KB Output is correct
37 Correct 12 ms 10844 KB Output is correct
38 Correct 80 ms 18320 KB Output is correct
39 Correct 83 ms 18328 KB Output is correct
40 Correct 95 ms 18240 KB Output is correct
41 Correct 82 ms 18244 KB Output is correct
42 Correct 79 ms 18332 KB Output is correct
43 Correct 81 ms 18252 KB Output is correct
44 Correct 82 ms 18240 KB Output is correct
45 Correct 80 ms 18256 KB Output is correct
46 Correct 81 ms 18332 KB Output is correct
47 Correct 79 ms 18244 KB Output is correct
48 Correct 39 ms 15708 KB Output is correct
49 Correct 44 ms 17596 KB Output is correct
50 Correct 15 ms 10332 KB Output is correct
51 Correct 18 ms 11912 KB Output is correct
52 Correct 10 ms 10076 KB Output is correct
53 Correct 51 ms 17500 KB Output is correct
54 Correct 31 ms 12520 KB Output is correct
55 Correct 79 ms 15444 KB Output is correct
56 Correct 43 ms 13004 KB Output is correct
57 Correct 62 ms 16976 KB Output is correct
58 Correct 14 ms 12248 KB Output is correct
59 Correct 18 ms 11612 KB Output is correct
60 Correct 44 ms 16588 KB Output is correct
61 Correct 44 ms 16952 KB Output is correct
62 Correct 30 ms 15316 KB Output is correct
63 Correct 22 ms 15412 KB Output is correct
64 Correct 25 ms 17496 KB Output is correct
65 Correct 38 ms 23636 KB Output is correct
66 Correct 24 ms 11864 KB Output is correct
67 Correct 31 ms 18512 KB Output is correct
68 Correct 56 ms 22608 KB Output is correct
69 Correct 12 ms 9560 KB Output is correct
70 Correct 5 ms 8284 KB Output is correct
71 Correct 26 ms 15452 KB Output is correct
72 Correct 41 ms 21580 KB Output is correct
73 Correct 69 ms 25428 KB Output is correct
74 Correct 69 ms 21912 KB Output is correct
75 Correct 69 ms 25556 KB Output is correct
76 Correct 62 ms 25180 KB Output is correct
77 Correct 68 ms 22240 KB Output is correct