Submission #253920

# Submission time Handle Problem Language Result Execution time Memory
253920 2020-07-29T06:04:41 Z IgorI Cats or Dogs (JOI18_catdog) C++17
100 / 100
370 ms 52776 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int INF = 1e8;
const int N = 100002;

struct Table{
    int a00, a01, a10, a11;
    Table()
    {
        a00 = 0, a11 = 0;
        a01 = 1, a10 = 1;
    }
};

Table Merge(Table &A, Table &B)
{
    Table S;
    S.a00 = min(A.a00 + B.a00, A.a01 + B.a10);
    S.a01 = min(A.a00 + B.a01, A.a01 + B.a11);
    S.a11 = min(A.a10 + B.a01, A.a11 + B.a11);
    S.a10 = min(A.a10 + B.a00, A.a11 + B.a10);
    return S;
}

struct Sollution{
    int s;
    vector<Table> tree;
    Sollution(int _n)
    {
        for (s = 1; s < _n; s *= 2) ;
        tree.resize(2 * s);
    }
    void Change(int i, int &cost0, int &cost1)
    {
        i += s;
        tree[i].a00 += cost0;
        tree[i].a01 += cost0;
        tree[i].a10 += cost1;
        tree[i].a11 += cost1;
        for (i /= 2; i; i /= 2)
            tree[i] = Merge(tree[2 * i], tree[2 * i + 1]);
    }
    void Cost(int &d0, int &d1)
    {
        int minc0 = min(tree[1].a00, tree[1].a01), minc1 = min(tree[1].a10, tree[1].a11);
        d0 = min(minc0, minc1 + 1);
        d1 = min(minc0 + 1, minc1);
    }
};

ll n;
vector<int> graph[N];
ll x[N];
ll papa[N];
ll sz[N];

int main_child[N];
vector<int> other_child[N];
vector<vector<int> > route;
vector<Sollution> hld;
int route_pos[N];
int route_id[N];

void dfs1(int v, int p)
{
    papa[v] = p;
    sz[v] = 1;
    for (auto u : graph[v]) if (u != p)
    {
        dfs1(u, v);
        sz[v] += sz[u];
    }
}

void dfs2(int v, int p)
{
    int mxsz = 0, id = -1;
    for (auto u : graph[v]) if (u != p)
    {
        if (sz[u] > mxsz)
        {
            mxsz = sz[u];
            id = u;
        }
    }
    main_child[v] = id;
    for (auto u : graph[v]) if (u != p)
    {
        dfs2(u, v);
        if (u != id) other_child[v].push_back(u);
    }
}

int answer()
{
    Table T = hld[0].tree[1];
    return min(min(T.a00, T.a01), min(T.a10, T.a11));
}

void initialize(int n0, vector<int> a, vector<int> b)
{
    n = n0;
    for (int i = 0; i < n - 1; i++)
    {
        a[i]--, b[i]--;
        graph[a[i]].push_back(b[i]);
        graph[b[i]].push_back(a[i]);
    }
    for (int i = 0; i < n; i++)
    {
        x[i] = -1;
    }
    dfs1(0, 0);
    dfs2(0, 0);
    for (int i = 0; i < n; i++)
    {
        route_id[i] = -1;
        route_pos[i] = -1;
    }
    for (int i = 0; i < n; i++)
    {
        if (route_id[i] == -1)
        {
            vector<int> r;
            int x = i;
            while (x != -1)
            {
                r.push_back(x);
                x = main_child[x];
            }
            for (int j = 0; j < r.size(); j++)
            {
                route_id[r[j]] = route.size();
                route_pos[r[j]] = j;
            }
            route.push_back(r);
            hld.push_back(Sollution(r.size()));
        }
    }
}

void Change(int v, int cost0, int cost1)
{
    int x = route_id[v];
    int y = route_pos[v];
    int oldd0, oldd1, d0, d1;
    hld[x].Cost(oldd0, oldd1);
    hld[x].Change(y, cost0, cost1);
    hld[x].Cost(d0, d1);
    v = route[x][0];
    if (v == 0) return;
    v = papa[v];
    Change(v, d0 - oldd0, d1 - oldd1);
}

int cat(int v)
{
    v--;
    x[v] = 0;
    Change(v, 0, INF);
    return answer();
}

int dog(int v)
{
    v--;
    x[v] = 1;
    Change(v, INF, 0);
    return answer();
}

int neighbor(int v)
{
    v--;
    if (x[v] == 0) Change(v, 0, -INF);
    if (x[v] == 1) Change(v, -INF, 0);
    x[v] = -1;
    return answer();
}

#ifdef LOCAL
int main()
{
    int n;
    cin >> n;
    vector<int> a(n - 1), b(n - 1);
    for (int i = 0; i < n - 1; i++)
    {
        cin >> a[i] >> b[i];
    }
    initialize(n, a, b);
    int q;
    cin >> q;
    while (q--)
    {
        int t, v;
        cin >> t >> v;
        if (t == 1) cout << cat(v) << endl;
        if (t == 2) cout << dog(v) << endl;
        if (t == 3) cout << neighbor(v) << endl;
    }
}
#endif // LOCAL

Compilation message

catdog.cpp: In function 'void initialize(int, std::vector<int>, std::vector<int>)':
catdog.cpp:135:31: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
             for (int j = 0; j < r.size(); j++)
                             ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 3 ms 5120 KB Output is correct
4 Correct 3 ms 4992 KB Output is correct
5 Correct 4 ms 4992 KB Output is correct
6 Correct 3 ms 4992 KB Output is correct
7 Correct 3 ms 4992 KB Output is correct
8 Correct 3 ms 4992 KB Output is correct
9 Correct 3 ms 4992 KB Output is correct
10 Correct 3 ms 4992 KB Output is correct
11 Correct 4 ms 4992 KB Output is correct
12 Correct 5 ms 4992 KB Output is correct
13 Correct 3 ms 4992 KB Output is correct
14 Correct 3 ms 4992 KB Output is correct
15 Correct 4 ms 4992 KB Output is correct
16 Correct 4 ms 4992 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 3 ms 5120 KB Output is correct
4 Correct 3 ms 4992 KB Output is correct
5 Correct 4 ms 4992 KB Output is correct
6 Correct 3 ms 4992 KB Output is correct
7 Correct 3 ms 4992 KB Output is correct
8 Correct 3 ms 4992 KB Output is correct
9 Correct 3 ms 4992 KB Output is correct
10 Correct 3 ms 4992 KB Output is correct
11 Correct 4 ms 4992 KB Output is correct
12 Correct 5 ms 4992 KB Output is correct
13 Correct 3 ms 4992 KB Output is correct
14 Correct 3 ms 4992 KB Output is correct
15 Correct 4 ms 4992 KB Output is correct
16 Correct 4 ms 4992 KB Output is correct
17 Correct 4 ms 5248 KB Output is correct
18 Correct 4 ms 5248 KB Output is correct
19 Correct 4 ms 5248 KB Output is correct
20 Correct 3 ms 5120 KB Output is correct
21 Correct 3 ms 5120 KB Output is correct
22 Correct 3 ms 5120 KB Output is correct
23 Correct 4 ms 5248 KB Output is correct
24 Correct 4 ms 5248 KB Output is correct
25 Correct 4 ms 5120 KB Output is correct
26 Correct 3 ms 5120 KB Output is correct
27 Correct 4 ms 5248 KB Output is correct
28 Correct 5 ms 5248 KB Output is correct
29 Correct 4 ms 5248 KB Output is correct
30 Correct 3 ms 5120 KB Output is correct
31 Correct 3 ms 5248 KB Output is correct
32 Correct 4 ms 5120 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 3 ms 5120 KB Output is correct
4 Correct 3 ms 4992 KB Output is correct
5 Correct 4 ms 4992 KB Output is correct
6 Correct 3 ms 4992 KB Output is correct
7 Correct 3 ms 4992 KB Output is correct
8 Correct 3 ms 4992 KB Output is correct
9 Correct 3 ms 4992 KB Output is correct
10 Correct 3 ms 4992 KB Output is correct
11 Correct 4 ms 4992 KB Output is correct
12 Correct 5 ms 4992 KB Output is correct
13 Correct 3 ms 4992 KB Output is correct
14 Correct 3 ms 4992 KB Output is correct
15 Correct 4 ms 4992 KB Output is correct
16 Correct 4 ms 4992 KB Output is correct
17 Correct 4 ms 5248 KB Output is correct
18 Correct 4 ms 5248 KB Output is correct
19 Correct 4 ms 5248 KB Output is correct
20 Correct 3 ms 5120 KB Output is correct
21 Correct 3 ms 5120 KB Output is correct
22 Correct 3 ms 5120 KB Output is correct
23 Correct 4 ms 5248 KB Output is correct
24 Correct 4 ms 5248 KB Output is correct
25 Correct 4 ms 5120 KB Output is correct
26 Correct 3 ms 5120 KB Output is correct
27 Correct 4 ms 5248 KB Output is correct
28 Correct 5 ms 5248 KB Output is correct
29 Correct 4 ms 5248 KB Output is correct
30 Correct 3 ms 5120 KB Output is correct
31 Correct 3 ms 5248 KB Output is correct
32 Correct 4 ms 5120 KB Output is correct
33 Correct 117 ms 16916 KB Output is correct
34 Correct 81 ms 19364 KB Output is correct
35 Correct 106 ms 13340 KB Output is correct
36 Correct 208 ms 25448 KB Output is correct
37 Correct 32 ms 11944 KB Output is correct
38 Correct 228 ms 27772 KB Output is correct
39 Correct 271 ms 27776 KB Output is correct
40 Correct 370 ms 27788 KB Output is correct
41 Correct 279 ms 27920 KB Output is correct
42 Correct 233 ms 28016 KB Output is correct
43 Correct 283 ms 27788 KB Output is correct
44 Correct 247 ms 27784 KB Output is correct
45 Correct 231 ms 27792 KB Output is correct
46 Correct 230 ms 27792 KB Output is correct
47 Correct 240 ms 27788 KB Output is correct
48 Correct 96 ms 22748 KB Output is correct
49 Correct 112 ms 25984 KB Output is correct
50 Correct 31 ms 9516 KB Output is correct
51 Correct 45 ms 13856 KB Output is correct
52 Correct 25 ms 9520 KB Output is correct
53 Correct 144 ms 27012 KB Output is correct
54 Correct 72 ms 14428 KB Output is correct
55 Correct 166 ms 20632 KB Output is correct
56 Correct 103 ms 15436 KB Output is correct
57 Correct 162 ms 25372 KB Output is correct
58 Correct 39 ms 14364 KB Output is correct
59 Correct 41 ms 12452 KB Output is correct
60 Correct 112 ms 23648 KB Output is correct
61 Correct 121 ms 24280 KB Output is correct
62 Correct 82 ms 22364 KB Output is correct
63 Correct 59 ms 22552 KB Output is correct
64 Correct 58 ms 25780 KB Output is correct
65 Correct 105 ms 39136 KB Output is correct
66 Correct 46 ms 10872 KB Output is correct
67 Correct 72 ms 29488 KB Output is correct
68 Correct 136 ms 42108 KB Output is correct
69 Correct 24 ms 6776 KB Output is correct
70 Correct 9 ms 5248 KB Output is correct
71 Correct 54 ms 14800 KB Output is correct
72 Correct 81 ms 23776 KB Output is correct
73 Correct 133 ms 28276 KB Output is correct
74 Correct 173 ms 52776 KB Output is correct
75 Correct 139 ms 29172 KB Output is correct
76 Correct 131 ms 33848 KB Output is correct
77 Correct 169 ms 46484 KB Output is correct