oj.uz

Submission #253908

# Submission time Handle Problem Language Result Execution time Memory
253908 2020-07-29T05:41:31 Z IgorI Cats or Dogs (JOI18_catdog) C++17
100 / 100
 397 ms 64608 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 Merge(Table &A, Table &B)
{
    Table S;
    S.a00 = min(min(A.a00 + B.a00, A.a01 + B.a10), min(A.a00 + B.a10, A.a01 + B.a00) + 1);
    S.a01 = min(min(A.a00 + B.a01, A.a01 + B.a11), min(A.a00 + B.a11, A.a01 + B.a01) + 1);
    S.a11 = min(min(A.a10 + B.a01, A.a11 + B.a11), min(A.a10 + B.a11, A.a11 + B.a01) + 1);
    S.a10 = min(min(A.a10 + B.a00, A.a11 + B.a10), min(A.a10 + B.a10, A.a11 + B.a00) + 1);
    return S;
}

struct Sollution{
    vector<Table> tree;
    void build(int L, int R, int V)
    {
        if (L + 1 == R)
        {
            tree[V].a01 = INF;
            tree[V].a10 = INF;
            return;
        }
        tree[V].a01 = 1;
        tree[V].a10 = 1;
        int M = (L + R) / 2;
        build(L, M, 2 * V + 1);
        build(M, R, 2 * V + 2);
    }
    Sollution(int _n)
    {
        tree.resize(4 * _n);
        build(0, _n, 0);
    }
    void __Change(int pos, int cost0, int cost1, int L, int R, int V)
    {
        if (L + 1 == R)
        {
            tree[V].a00 += cost0;
            tree[V].a11 += cost1;
            return;
        }
        int M = (L + R) / 2;
        if (pos < M) __Change(pos, cost0, cost1, L, M, 2 * V + 1);
        else __Change(pos, cost0, cost1, M, R, 2 * V + 2);
        tree[V] = Merge(tree[2 * V + 1], tree[2 * V + 2]);
    }
    void Change(int pos, int cost0, int cost1)
    {
        __Change(pos, cost0, cost1, 0, tree.size() / 4, 0);
    }
    void Cost(int &d0, int &d1)
    {
        int minc0 = min(tree[0].a00, tree[0].a01), minc1 = min(tree[0].a10, tree[0].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[0];
    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:150:31: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
             for (int j = 0; j < r.size(); j++)
                             ~~^~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 3 ms 4992 KB Output is correct
5 Correct 3 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 3 ms 4992 KB Output is correct
12 Correct 3 ms 4992 KB Output is correct
13 Correct 4 ms 4992 KB Output is correct
14 Correct 3 ms 4992 KB Output is correct
15 Correct 3 ms 4992 KB Output is correct
16 Correct 3 ms 4992 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 3 ms 4992 KB Output is correct
5 Correct 3 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 3 ms 4992 KB Output is correct
12 Correct 3 ms 4992 KB Output is correct
13 Correct 4 ms 4992 KB Output is correct
14 Correct 3 ms 4992 KB Output is correct
15 Correct 3 ms 4992 KB Output is correct
16 Correct 3 ms 4992 KB Output is correct
17 Correct 5 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 4 ms 5120 KB Output is correct
22 Correct 4 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 4 ms 5120 KB Output is correct
27 Correct 3 ms 5120 KB Output is correct
28 Correct 4 ms 5248 KB Output is correct
29 Correct 5 ms 5248 KB Output is correct
30 Correct 4 ms 5120 KB Output is correct
31 Correct 4 ms 5248 KB Output is correct
32 Correct 4 ms 5120 KB Output is correct

Subtask #3
62.0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 3 ms 4992 KB Output is correct
5 Correct 3 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 3 ms 4992 KB Output is correct
12 Correct 3 ms 4992 KB Output is correct
13 Correct 4 ms 4992 KB Output is correct
14 Correct 3 ms 4992 KB Output is correct
15 Correct 3 ms 4992 KB Output is correct
16 Correct 3 ms 4992 KB Output is correct
17 Correct 5 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 4 ms 5120 KB Output is correct
22 Correct 4 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 4 ms 5120 KB Output is correct
27 Correct 3 ms 5120 KB Output is correct
28 Correct 4 ms 5248 KB Output is correct
29 Correct 5 ms 5248 KB Output is correct
30 Correct 4 ms 5120 KB Output is correct
31 Correct 4 ms 5248 KB Output is correct
32 Correct 4 ms 5120 KB Output is correct
33 Correct 139 ms 18776 KB Output is correct
34 Correct 86 ms 21600 KB Output is correct
35 Correct 119 ms 14560 KB Output is correct
36 Correct 234 ms 28712 KB Output is correct
37 Correct 31 ms 12912 KB Output is correct
38 Correct 320 ms 31488 KB Output is correct
39 Correct 262 ms 31448 KB Output is correct
40 Correct 259 ms 31424 KB Output is correct
41 Correct 282 ms 31692 KB Output is correct
42 Correct 290 ms 31600 KB Output is correct
43 Correct 397 ms 31436 KB Output is correct
44 Correct 251 ms 31440 KB Output is correct
45 Correct 358 ms 31428 KB Output is correct
46 Correct 275 ms 31436 KB Output is correct
47 Correct 279 ms 31440 KB Output is correct
48 Correct 117 ms 23860 KB Output is correct
49 Correct 114 ms 28120 KB Output is correct
50 Correct 33 ms 9840 KB Output is correct
51 Correct 45 ms 14432 KB Output is correct
52 Correct 23 ms 9720 KB Output is correct
53 Correct 190 ms 30688 KB Output is correct
54 Correct 81 ms 15904 KB Output is correct
55 Correct 202 ms 23128 KB Output is correct
56 Correct 121 ms 17040 KB Output is correct
57 Correct 173 ms 28512 KB Output is correct
58 Correct 37 ms 15452 KB Output is correct
59 Correct 45 ms 13160 KB Output is correct
60 Correct 103 ms 25432 KB Output is correct
61 Correct 116 ms 26328 KB Output is correct
62 Correct 78 ms 23392 KB Output is correct
63 Correct 58 ms 26136 KB Output is correct
64 Correct 63 ms 28212 KB Output is correct
65 Correct 103 ms 46688 KB Output is correct
66 Correct 55 ms 11256 KB Output is correct
67 Correct 82 ms 32560 KB Output is correct
68 Correct 140 ms 46588 KB Output is correct
69 Correct 27 ms 6784 KB Output is correct
70 Correct 8 ms 5248 KB Output is correct
71 Correct 56 ms 15072 KB Output is correct
72 Correct 88 ms 25056 KB Output is correct
73 Correct 172 ms 30312 KB Output is correct
74 Correct 210 ms 64608 KB Output is correct
75 Correct 143 ms 31476 KB Output is correct
76 Correct 159 ms 35812 KB Output is correct
77 Correct 188 ms 54292 KB Output is correct