oj.uz

Submission #894184

# Submission time Handle Problem Language Result Execution time Memory
894184 2023-12-28T02:26:38 Z box Cats or Dogs (JOI18_catdog) C++17
100 / 100
 150 ms 29524 KB 
#ifndef LOCAL
#include "catdog.h"
#endif
#include <bits/stdc++.h>
using namespace std;

#define ar array
#define sz(v) int(std::size(v))
using i64 = long long;

const int MAXN = 1e5;
const int INF = 1e6;

int N;
vector<int> adj[MAXN];
bool has[MAXN][2];
int root[MAXN], depth[MAXN], child[MAXN], parent[MAXN], sz[MAXN];
ar<i64, 2> light[MAXN];

using info = ar<ar<int, 2>, 2>;

info operator+(const info one, const info two) {
    info me;
    for (int x : {0,1}) for (int y : {0,1})
        me[x][y] = min(INF,
            min(min(one[x][0] + two[0][y], one[x][1] + two[1][y]),
            1 + min(one[x][0] + two[1][y], one[x][1] + two[0][y])));
    return me;
}

struct segt {
    int l, r;
    segt *lc, *rc;
    info x;
    segt(int l, int r) : l(l), r(r) {
        if (l < r) {
            int m = (l + r) / 2;
            lc = new segt(l, m);
            rc = new segt(m + 1, r);
            x = lc->x + rc->x;
        } else x[1][0] = x[0][1] = INF, x[0][0] = x[1][1] = 0;
    }
    void upd(int i, const ar<int, 2> &v) {
        if (l == r) x[0][0] = v[0], x[1][1] = v[1];
        else {
            i <= lc->r ? lc->upd(i, v) : rc->upd(i, v);
            x = lc->x + rc->x;
        }
    }
    ar<int, 2> pack() {
        return {min(x[0][0], x[0][1]), min(x[1][0], x[1][1])};
    }
} *tree[MAXN];

int dfs_sz(int i) {
    int s = 1, x = 0;
    child[i] = -1;
    for (int j : adj[i]) if (parent[i] != j) {
        depth[j] = depth[i] + 1;
        parent[j] = i;
        int y = dfs_sz(j);
        if (y > x) {
            x = y;
            child[i] = j;
        }
        s += y;
    }
    return s;
}

void dfs_hvy(int r, int i) {
    ++sz[root[i] = r];
    if (~child[i]) dfs_hvy(r, child[i]);
    for (int j : adj[i]) if (parent[i] != j && child[i] != j) dfs_hvy(j, j);
}

void initialize(int N, vector<int> A, vector<int> B) {
    for (int h = 0; h < N - 1; h++) {
        auto [i, j] = make_pair(A[h], B[h]);
        i--, j--;
        adj[i].push_back(j);
        adj[j].push_back(i);
    }
    parent[0] = -1;
    dfs_sz(0);
    dfs_hvy(0, 0);
    for (int i = 0; i < N; i++) if (sz[i]) tree[i] = new segt(0, sz[i] - 1);
}

int pul(int i) {
    while (~i) {
        int r = root[i];
        int p = parent[r];
        if (~p) {
            auto v = tree[r]->pack();
            light[p][0] -= min(v[0], v[1] + 1), light[p][1] -= min(v[0] + 1, v[1]);
        }
        tree[r]->upd(depth[i] - depth[r], {int(min(light[i][0], i64(INF))), int(min(light[i][1], i64(INF)))});
        if (~p) {
            auto v = tree[r]->pack();
            light[p][0] += min(v[0], v[1] + 1), light[p][1] += min(v[0] + 1, v[1]);
        }
        i = p;
    }
    auto v = tree[0]->pack();
    return min(v[0], v[1]);
}

int cat(int i) {
    i--;
    has[i][0] = 1;
    light[i][0] += INF;
    return pul(i);
}

int dog(int i) {
    i--;
    has[i][1] = 1;
    light[i][1] += INF;
    return pul(i);
}

int neighbor(int i) {
    i--;
    if (has[i][0]) light[i][0] -= INF, has[i][0] = 0;
    if (has[i][1]) light[i][1] -= INF, has[i][1] = 0;
    return pul(i);
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 7000 KB Output is correct
2 Correct 1 ms 7004 KB Output is correct
3 Correct 1 ms 7004 KB Output is correct
4 Correct 1 ms 7004 KB Output is correct
5 Correct 1 ms 7004 KB Output is correct
6 Correct 1 ms 7004 KB Output is correct
7 Correct 1 ms 7004 KB Output is correct
8 Correct 1 ms 7004 KB Output is correct
9 Correct 1 ms 7004 KB Output is correct
10 Correct 1 ms 7004 KB Output is correct
11 Correct 1 ms 7004 KB Output is correct
12 Correct 1 ms 7000 KB Output is correct
13 Correct 1 ms 7004 KB Output is correct
14 Correct 1 ms 7004 KB Output is correct
15 Correct 1 ms 7004 KB Output is correct
16 Correct 2 ms 7004 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 7000 KB Output is correct
2 Correct 1 ms 7004 KB Output is correct
3 Correct 1 ms 7004 KB Output is correct
4 Correct 1 ms 7004 KB Output is correct
5 Correct 1 ms 7004 KB Output is correct
6 Correct 1 ms 7004 KB Output is correct
7 Correct 1 ms 7004 KB Output is correct
8 Correct 1 ms 7004 KB Output is correct
9 Correct 1 ms 7004 KB Output is correct
10 Correct 1 ms 7004 KB Output is correct
11 Correct 1 ms 7004 KB Output is correct
12 Correct 1 ms 7000 KB Output is correct
13 Correct 1 ms 7004 KB Output is correct
14 Correct 1 ms 7004 KB Output is correct
15 Correct 1 ms 7004 KB Output is correct
16 Correct 2 ms 7004 KB Output is correct
17 Correct 2 ms 7000 KB Output is correct
18 Correct 2 ms 7004 KB Output is correct
19 Correct 2 ms 7004 KB Output is correct
20 Correct 1 ms 7004 KB Output is correct
21 Correct 2 ms 7004 KB Output is correct
22 Correct 1 ms 7004 KB Output is correct
23 Correct 2 ms 7004 KB Output is correct
24 Correct 2 ms 7004 KB Output is correct
25 Correct 2 ms 7004 KB Output is correct
26 Correct 2 ms 7004 KB Output is correct
27 Correct 1 ms 7004 KB Output is correct
28 Correct 2 ms 7260 KB Output is correct
29 Correct 2 ms 7260 KB Output is correct
30 Correct 1 ms 7004 KB Output is correct
31 Correct 2 ms 7004 KB Output is correct
32 Correct 1 ms 7004 KB Output is correct

Subtask #3
62.0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 7000 KB Output is correct
2 Correct 1 ms 7004 KB Output is correct
3 Correct 1 ms 7004 KB Output is correct
4 Correct 1 ms 7004 KB Output is correct
5 Correct 1 ms 7004 KB Output is correct
6 Correct 1 ms 7004 KB Output is correct
7 Correct 1 ms 7004 KB Output is correct
8 Correct 1 ms 7004 KB Output is correct
9 Correct 1 ms 7004 KB Output is correct
10 Correct 1 ms 7004 KB Output is correct
11 Correct 1 ms 7004 KB Output is correct
12 Correct 1 ms 7000 KB Output is correct
13 Correct 1 ms 7004 KB Output is correct
14 Correct 1 ms 7004 KB Output is correct
15 Correct 1 ms 7004 KB Output is correct
16 Correct 2 ms 7004 KB Output is correct
17 Correct 2 ms 7000 KB Output is correct
18 Correct 2 ms 7004 KB Output is correct
19 Correct 2 ms 7004 KB Output is correct
20 Correct 1 ms 7004 KB Output is correct
21 Correct 2 ms 7004 KB Output is correct
22 Correct 1 ms 7004 KB Output is correct
23 Correct 2 ms 7004 KB Output is correct
24 Correct 2 ms 7004 KB Output is correct
25 Correct 2 ms 7004 KB Output is correct
26 Correct 2 ms 7004 KB Output is correct
27 Correct 1 ms 7004 KB Output is correct
28 Correct 2 ms 7260 KB Output is correct
29 Correct 2 ms 7260 KB Output is correct
30 Correct 1 ms 7004 KB Output is correct
31 Correct 2 ms 7004 KB Output is correct
32 Correct 1 ms 7004 KB Output is correct
33 Correct 81 ms 14276 KB Output is correct
34 Correct 40 ms 15204 KB Output is correct
35 Correct 75 ms 12364 KB Output is correct
36 Correct 127 ms 19128 KB Output is correct
37 Correct 12 ms 10844 KB Output is correct
38 Correct 136 ms 20300 KB Output is correct
39 Correct 150 ms 20292 KB Output is correct
40 Correct 138 ms 20296 KB Output is correct
41 Correct 149 ms 20308 KB Output is correct
42 Correct 145 ms 20588 KB Output is correct
43 Correct 141 ms 20304 KB Output is correct
44 Correct 135 ms 20308 KB Output is correct
45 Correct 131 ms 20404 KB Output is correct
46 Correct 135 ms 20292 KB Output is correct
47 Correct 133 ms 20280 KB Output is correct
48 Correct 38 ms 14824 KB Output is correct
49 Correct 44 ms 16644 KB Output is correct
50 Correct 14 ms 9304 KB Output is correct
51 Correct 18 ms 10968 KB Output is correct
52 Correct 9 ms 9052 KB Output is correct
53 Correct 76 ms 19680 KB Output is correct
54 Correct 47 ms 12636 KB Output is correct
55 Correct 109 ms 16336 KB Output is correct
56 Correct 76 ms 13316 KB Output is correct
57 Correct 98 ms 18772 KB Output is correct
58 Correct 13 ms 11224 KB Output is correct
59 Correct 19 ms 10588 KB Output is correct
60 Correct 44 ms 15540 KB Output is correct
61 Correct 45 ms 16076 KB Output is correct
62 Correct 30 ms 14288 KB Output is correct
63 Correct 30 ms 17060 KB Output is correct
64 Correct 33 ms 19280 KB Output is correct
65 Correct 46 ms 25932 KB Output is correct
66 Correct 39 ms 11608 KB Output is correct
67 Correct 47 ms 20564 KB Output is correct
68 Correct 82 ms 26532 KB Output is correct
69 Correct 22 ms 8700 KB Output is correct
70 Correct 5 ms 7260 KB Output is correct
71 Correct 37 ms 15652 KB Output is correct
72 Correct 56 ms 23132 KB Output is correct
73 Correct 114 ms 29524 KB Output is correct
74 Correct 120 ms 26088 KB Output is correct
75 Correct 97 ms 29424 KB Output is correct
76 Correct 93 ms 28576 KB Output is correct
77 Correct 119 ms 26364 KB Output is correct