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Submission #680637

# Submission time Handle Problem Language Result Execution time Memory
680637 2023-01-11T11:54:53 Z nutella Cats or Dogs (JOI18_catdog) C++17
100 / 100
 328 ms 30144 KB 
#include <bits/stdc++.h>
#include "catdog.h"

using namespace std;
using ll = long long;

int n;

constexpr int N = 100001, inf = 1e9 + 7;

vector<int> g[N];

int head[N], sz[N], parent[N], tin[N], T = 0, hld_sz[N], type[N];

void dfs_init(int v) {
    auto it = find(g[v].begin(), g[v].end(), parent[v]);
    if (it != g[v].end()) {
        g[v].erase(it);
    }

    sz[v] = 1;
    for (int &to: g[v]) {
        parent[to] = v;

        dfs_init(to);

        sz[v] += sz[to];
    }

    for (int i = 1; i < g[v].size(); ++i) {
        if (sz[g[v][i]] > sz[g[v][0]]) {
            swap(g[v][i], g[v][0]);
        }
    }
}

void dfs_hld(int v) {
    if (head[v] == 0) {
        head[v] = v;
    }

    tin[v] = T++;
    hld_sz[head[v]] += 1;

    for (int to : g[v]) {
        if (to == g[v][0]) {
            head[to] = head[v];
        }
        dfs_hld(to);
    }
}

struct Info {
    array<ll, 4> dp{0, inf, inf, 0};

    Info() = default;

    Info(array<ll, 4> d) : dp(d) {}
};

Info operator+(Info a, Info b) {
    Info res;
    fill(res.dp.begin(), res.dp.end(), inf);
    for (int i = 0; i < 4; ++i) {
        for (int j = 0; j < 4; ++j) {
            int x = (i & 2) + (j & 1);
            res.dp[x] = min(res.dp[x], a.dp[i] + b.dp[j] + ((i & 1) != bool(j & 2)));
        }
    }
    return res;
}

struct SegmentTree {
    vector<Info> t;
    int n{};

    void init(int m) {
        n = 1 << (__lg(m) + bool(m & (m - 1)));
        t.assign(2 * n, {});
    }

    void modify(int i, ll x, ll y) {
        i += n;
        t[i].dp[0] += x, t[i].dp[3] += y;
        while (i >>= 1) {
            t[i] = t[i << 1] + t[i << 1 | 1];
        }
    }
};

array<ll, 2> transform(array<ll, 4> &a) {
    ll x = min(a[0], a[1]), y = min(a[2], a[3]);
    return {min(x, y + 1), min(x + 1, y)};
}

SegmentTree t[N];

void update(int v, ll x, ll y) {
    while (v != 0) {
        int u = head[v];

        auto was = transform(t[u].t[1].dp);
        t[u].modify(tin[v] - tin[u], x, y);
        auto now = transform(t[u].t[1].dp);

        v = parent[u];
        x = now[0] - was[0];
        y = now[1] - was[1];
    }
}

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

    for (int i = 0; i < n - 1; ++i) {
        g[A[i]].push_back(B[i]);
        g[B[i]].push_back(A[i]);
    }

    dfs_init(1);
    dfs_hld(1);

    for (int i = 1; i <= n; ++i) {
        if (head[i] == i) {
            t[i].init(hld_sz[i]);
        }
    }
}

int query() {
    auto res = t[1].t[1].dp;
    return *min_element(res.begin(), res.end());
}

int cat(int v) {
    type[v] = 0;

    update(v, 0, N);

    return query();
}

int dog(int v) {
    type[v] = 1;

    update(v, N, 0);

    return query();
}

int neighbor(int v) {
    if (type[v] == 0) {
        update(v, 0, -N);
    } else {
        update(v, -N, 0);
    }

    type[v] = 2;

    return query();
}

Compilation message

catdog.cpp: In function 'void dfs_init(int)':
catdog.cpp:30:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   30 |     for (int i = 1; i < g[v].size(); ++i) {
      |                     ~~^~~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5796 KB Output is correct
2 Correct 4 ms 5796 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 4 ms 5716 KB Output is correct
5 Correct 3 ms 5716 KB Output is correct
6 Correct 4 ms 5792 KB Output is correct
7 Correct 4 ms 5796 KB Output is correct
8 Correct 3 ms 5716 KB Output is correct
9 Correct 4 ms 5788 KB Output is correct
10 Correct 3 ms 5716 KB Output is correct
11 Correct 3 ms 5716 KB Output is correct
12 Correct 4 ms 5716 KB Output is correct
13 Correct 4 ms 5760 KB Output is correct
14 Correct 4 ms 5716 KB Output is correct
15 Correct 4 ms 5716 KB Output is correct
16 Correct 4 ms 5716 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5796 KB Output is correct
2 Correct 4 ms 5796 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 4 ms 5716 KB Output is correct
5 Correct 3 ms 5716 KB Output is correct
6 Correct 4 ms 5792 KB Output is correct
7 Correct 4 ms 5796 KB Output is correct
8 Correct 3 ms 5716 KB Output is correct
9 Correct 4 ms 5788 KB Output is correct
10 Correct 3 ms 5716 KB Output is correct
11 Correct 3 ms 5716 KB Output is correct
12 Correct 4 ms 5716 KB Output is correct
13 Correct 4 ms 5760 KB Output is correct
14 Correct 4 ms 5716 KB Output is correct
15 Correct 4 ms 5716 KB Output is correct
16 Correct 4 ms 5716 KB Output is correct
17 Correct 6 ms 5844 KB Output is correct
18 Correct 4 ms 5844 KB Output is correct
19 Correct 4 ms 5932 KB Output is correct
20 Correct 4 ms 5844 KB Output is correct
21 Correct 4 ms 5808 KB Output is correct
22 Correct 4 ms 5796 KB Output is correct
23 Correct 8 ms 5844 KB Output is correct
24 Correct 4 ms 5928 KB Output is correct
25 Correct 7 ms 5860 KB Output is correct
26 Correct 3 ms 5844 KB Output is correct
27 Correct 4 ms 5844 KB Output is correct
28 Correct 6 ms 5972 KB Output is correct
29 Correct 4 ms 6012 KB Output is correct
30 Correct 3 ms 5796 KB Output is correct
31 Correct 4 ms 5844 KB Output is correct
32 Correct 5 ms 5800 KB Output is correct

Subtask #3
62.0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5796 KB Output is correct
2 Correct 4 ms 5796 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 4 ms 5716 KB Output is correct
5 Correct 3 ms 5716 KB Output is correct
6 Correct 4 ms 5792 KB Output is correct
7 Correct 4 ms 5796 KB Output is correct
8 Correct 3 ms 5716 KB Output is correct
9 Correct 4 ms 5788 KB Output is correct
10 Correct 3 ms 5716 KB Output is correct
11 Correct 3 ms 5716 KB Output is correct
12 Correct 4 ms 5716 KB Output is correct
13 Correct 4 ms 5760 KB Output is correct
14 Correct 4 ms 5716 KB Output is correct
15 Correct 4 ms 5716 KB Output is correct
16 Correct 4 ms 5716 KB Output is correct
17 Correct 6 ms 5844 KB Output is correct
18 Correct 4 ms 5844 KB Output is correct
19 Correct 4 ms 5932 KB Output is correct
20 Correct 4 ms 5844 KB Output is correct
21 Correct 4 ms 5808 KB Output is correct
22 Correct 4 ms 5796 KB Output is correct
23 Correct 8 ms 5844 KB Output is correct
24 Correct 4 ms 5928 KB Output is correct
25 Correct 7 ms 5860 KB Output is correct
26 Correct 3 ms 5844 KB Output is correct
27 Correct 4 ms 5844 KB Output is correct
28 Correct 6 ms 5972 KB Output is correct
29 Correct 4 ms 6012 KB Output is correct
30 Correct 3 ms 5796 KB Output is correct
31 Correct 4 ms 5844 KB Output is correct
32 Correct 5 ms 5800 KB Output is correct
33 Correct 127 ms 15324 KB Output is correct
34 Correct 64 ms 16332 KB Output is correct
35 Correct 173 ms 12952 KB Output is correct
36 Correct 239 ms 22080 KB Output is correct
37 Correct 19 ms 10668 KB Output is correct
38 Correct 249 ms 23892 KB Output is correct
39 Correct 291 ms 23892 KB Output is correct
40 Correct 217 ms 23936 KB Output is correct
41 Correct 287 ms 23912 KB Output is correct
42 Correct 328 ms 23904 KB Output is correct
43 Correct 241 ms 23812 KB Output is correct
44 Correct 222 ms 23884 KB Output is correct
45 Correct 207 ms 23912 KB Output is correct
46 Correct 250 ms 23904 KB Output is correct
47 Correct 217 ms 23856 KB Output is correct
48 Correct 63 ms 18524 KB Output is correct
49 Correct 90 ms 21808 KB Output is correct
50 Correct 23 ms 9264 KB Output is correct
51 Correct 33 ms 12048 KB Output is correct
52 Correct 14 ms 9020 KB Output is correct
53 Correct 111 ms 22204 KB Output is correct
54 Correct 81 ms 13152 KB Output is correct
55 Correct 179 ms 18524 KB Output is correct
56 Correct 104 ms 14196 KB Output is correct
57 Correct 186 ms 21344 KB Output is correct
58 Correct 28 ms 12488 KB Output is correct
59 Correct 28 ms 11512 KB Output is correct
60 Correct 63 ms 19940 KB Output is correct
61 Correct 70 ms 20600 KB Output is correct
62 Correct 55 ms 17552 KB Output is correct
63 Correct 49 ms 16172 KB Output is correct
64 Correct 46 ms 18632 KB Output is correct
65 Correct 65 ms 27916 KB Output is correct
66 Correct 71 ms 11264 KB Output is correct
67 Correct 60 ms 20436 KB Output is correct
68 Correct 138 ms 26448 KB Output is correct
69 Correct 30 ms 7760 KB Output is correct
70 Correct 9 ms 6056 KB Output is correct
71 Correct 55 ms 16084 KB Output is correct
72 Correct 81 ms 24792 KB Output is correct
73 Correct 176 ms 29220 KB Output is correct
74 Correct 202 ms 26260 KB Output is correct
75 Correct 140 ms 29340 KB Output is correct
76 Correct 174 ms 30144 KB Output is correct
77 Correct 181 ms 26508 KB Output is correct