Submission #894187

# Submission time Handle Problem Language Result Execution time Memory
894187 2023-12-28T02:30:40 Z box Cats or Dogs (JOI18_catdog) C++17
100 / 100
161 ms 48208 KB
#pragma GCC optimize(3)
#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);
}
# 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 2 ms 7156 KB Output is correct
5 Correct 2 ms 7004 KB Output is correct
6 Correct 2 ms 7004 KB Output is correct
7 Correct 1 ms 7080 KB Output is correct
8 Correct 1 ms 7004 KB Output is correct
9 Correct 2 ms 7256 KB Output is correct
10 Correct 2 ms 7004 KB Output is correct
11 Correct 1 ms 7004 KB Output is correct
12 Correct 1 ms 7004 KB Output is correct
13 Correct 1 ms 7004 KB Output is correct
14 Correct 2 ms 7000 KB Output is correct
15 Correct 2 ms 7004 KB Output is correct
16 Correct 1 ms 7004 KB Output is correct
# 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 2 ms 7156 KB Output is correct
5 Correct 2 ms 7004 KB Output is correct
6 Correct 2 ms 7004 KB Output is correct
7 Correct 1 ms 7080 KB Output is correct
8 Correct 1 ms 7004 KB Output is correct
9 Correct 2 ms 7256 KB Output is correct
10 Correct 2 ms 7004 KB Output is correct
11 Correct 1 ms 7004 KB Output is correct
12 Correct 1 ms 7004 KB Output is correct
13 Correct 1 ms 7004 KB Output is correct
14 Correct 2 ms 7000 KB Output is correct
15 Correct 2 ms 7004 KB Output is correct
16 Correct 1 ms 7004 KB Output is correct
17 Correct 2 ms 7260 KB Output is correct
18 Correct 2 ms 7260 KB Output is correct
19 Correct 2 ms 7260 KB Output is correct
20 Correct 2 ms 7004 KB Output is correct
21 Correct 1 ms 7004 KB Output is correct
22 Correct 2 ms 7204 KB Output is correct
23 Correct 2 ms 7260 KB Output is correct
24 Correct 2 ms 7260 KB Output is correct
25 Correct 2 ms 7004 KB Output is correct
26 Correct 2 ms 7004 KB Output is correct
27 Correct 2 ms 7004 KB Output is correct
28 Correct 2 ms 7260 KB Output is correct
29 Correct 2 ms 7348 KB Output is correct
30 Correct 2 ms 7004 KB Output is correct
31 Correct 2 ms 7004 KB Output is correct
32 Correct 2 ms 7000 KB Output is correct
# 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 2 ms 7156 KB Output is correct
5 Correct 2 ms 7004 KB Output is correct
6 Correct 2 ms 7004 KB Output is correct
7 Correct 1 ms 7080 KB Output is correct
8 Correct 1 ms 7004 KB Output is correct
9 Correct 2 ms 7256 KB Output is correct
10 Correct 2 ms 7004 KB Output is correct
11 Correct 1 ms 7004 KB Output is correct
12 Correct 1 ms 7004 KB Output is correct
13 Correct 1 ms 7004 KB Output is correct
14 Correct 2 ms 7000 KB Output is correct
15 Correct 2 ms 7004 KB Output is correct
16 Correct 1 ms 7004 KB Output is correct
17 Correct 2 ms 7260 KB Output is correct
18 Correct 2 ms 7260 KB Output is correct
19 Correct 2 ms 7260 KB Output is correct
20 Correct 2 ms 7004 KB Output is correct
21 Correct 1 ms 7004 KB Output is correct
22 Correct 2 ms 7204 KB Output is correct
23 Correct 2 ms 7260 KB Output is correct
24 Correct 2 ms 7260 KB Output is correct
25 Correct 2 ms 7004 KB Output is correct
26 Correct 2 ms 7004 KB Output is correct
27 Correct 2 ms 7004 KB Output is correct
28 Correct 2 ms 7260 KB Output is correct
29 Correct 2 ms 7348 KB Output is correct
30 Correct 2 ms 7004 KB Output is correct
31 Correct 2 ms 7004 KB Output is correct
32 Correct 2 ms 7000 KB Output is correct
33 Correct 83 ms 14188 KB Output is correct
34 Correct 43 ms 15196 KB Output is correct
35 Correct 78 ms 12348 KB Output is correct
36 Correct 142 ms 19292 KB Output is correct
37 Correct 13 ms 10840 KB Output is correct
38 Correct 161 ms 20372 KB Output is correct
39 Correct 133 ms 20284 KB Output is correct
40 Correct 150 ms 20464 KB Output is correct
41 Correct 141 ms 20312 KB Output is correct
42 Correct 131 ms 20540 KB Output is correct
43 Correct 131 ms 20308 KB Output is correct
44 Correct 128 ms 20360 KB Output is correct
45 Correct 139 ms 20544 KB Output is correct
46 Correct 137 ms 20304 KB Output is correct
47 Correct 155 ms 20472 KB Output is correct
48 Correct 38 ms 14740 KB Output is correct
49 Correct 44 ms 16632 KB Output is correct
50 Correct 14 ms 9308 KB Output is correct
51 Correct 18 ms 10968 KB Output is correct
52 Correct 9 ms 9048 KB Output is correct
53 Correct 73 ms 19544 KB Output is correct
54 Correct 47 ms 12632 KB Output is correct
55 Correct 111 ms 16460 KB Output is correct
56 Correct 71 ms 13356 KB Output is correct
57 Correct 95 ms 18804 KB Output is correct
58 Correct 13 ms 11224 KB Output is correct
59 Correct 23 ms 10784 KB Output is correct
60 Correct 41 ms 15572 KB Output is correct
61 Correct 45 ms 16076 KB Output is correct
62 Correct 31 ms 14280 KB Output is correct
63 Correct 35 ms 23212 KB Output is correct
64 Correct 39 ms 28496 KB Output is correct
65 Correct 54 ms 39240 KB Output is correct
66 Correct 49 ms 13908 KB Output is correct
67 Correct 51 ms 30032 KB Output is correct
68 Correct 89 ms 38540 KB Output is correct
69 Correct 20 ms 9560 KB Output is correct
70 Correct 5 ms 7512 KB Output is correct
71 Correct 41 ms 22604 KB Output is correct
72 Correct 65 ms 36432 KB Output is correct
73 Correct 125 ms 48208 KB Output is correct
74 Correct 135 ms 35920 KB Output is correct
75 Correct 107 ms 47772 KB Output is correct
76 Correct 102 ms 43348 KB Output is correct
77 Correct 127 ms 37304 KB Output is correct