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Submission #848019

# Submission time Handle Problem Language Result Execution time Memory
848019 2023-09-11T02:57:08 Z LeonaRaging Cats or Dogs (JOI18_catdog) C++14
100 / 100
 484 ms 28280 KB 
#include "catdog.h"
#include<bits/stdc++.h>
using namespace std;

#define pb push_back

const int maxn = 1e5 + 4;
const int INF = 1e9;

int n, sz[maxn], R[maxn], B[maxn], col[maxn], par[maxn], id[maxn];
int chain[maxn], head[maxn], from[maxn], to[maxn], tin[maxn];
vector<int> adj[maxn];

struct Node {
	int a[2][2];
	Node() {
		for (int i = 0; i < 2; i++)
			for (int j = 0; j < 2; j++)
				a[i][j] = INF;
	}
};

struct seg_tree {
	vector<Node> t;
	seg_tree() {
		t.resize(4 * maxn);
	}
	Node merge(Node L, Node R) {
		Node res;
		for (int i = 0; i < 2; i++)
			for (int j = 0; j < 2; j++)
				for (int x = 0; x < 2; x++)
					for (int y = 0; y < 2; y++)
						res.a[i][j] = min(res.a[i][j], L.a[i][x] + R.a[y][j] + (x != y));
		return res;
	}
	void update(int pos, int v = 1, int l = 1, int r = maxn - 1) {
		if (l == r) {
			t[v].a[0][0] = (col[id[l]] == 1 ? INF : R[id[l]]);
			t[v].a[1][1] = (col[id[l]] == 0 ? INF : B[id[l]]);
			t[v].a[0][1] = t[v].a[1][0] = INF;
			return;
		}
		int m = (l + r) / 2;
		if (pos <= m) update(pos, 2 * v, l, m);
		else update(pos, 2 * v + 1, m + 1, r);
		t[v] = merge(t[2 * v], t[2 * v + 1]);
	}
	Node get(int l, int r, int v = 1, int tl = 1, int tr = maxn - 1) {
		if (tl >= l && tr <= r) return t[v];
		int m = (tl + tr) / 2;
		if (r <= m) return get(l, r, 2 * v, tl, m);
		else if (l > m) return get(l, r, 2 * v + 1, m + 1, tr);
		else return merge(get(l, r, 2 * v, tl, m), get(l, r, 2 * v + 1, m + 1, tr));
	}
} IT;

void dfs(int u, int p) {
	sz[u] = 1;
	for (int v : adj[u]) if (v != p) {
		par[v] = u;
		dfs(v, u);
		sz[u] += sz[v];
	}
}

void hld(int u) {
	tin[u] = ++tin[0];
	id[tin[0]] = u;
	chain[u] = chain[0];
	if (!head[chain[0]]) head[chain[0]] = u;
	int mx = 0;
	for (int v : adj[u])
		if (v != par[u] && sz[v] > sz[mx])
			mx = v;
	if (mx) hld(mx);
	for (int v : adj[u])
		if (v != par[u] && v != mx) {
			chain[0]++;
			hld(v);
		}
}

void update(int v) {
	while (v) {
		int u = par[head[chain[v]]];
		Node cur = IT.get(from[chain[v]], to[chain[v]]);
		R[u] -= min({cur.a[0][0], cur.a[0][1], cur.a[1][0] + 1, cur.a[1][1] + 1});
		B[u] -= min({cur.a[0][0] + 1, cur.a[0][1] + 1, cur.a[1][0], cur.a[1][1]});
		IT.update(tin[v]);
		cur = IT.get(from[chain[v]], to[chain[v]]);
		R[u] += min({cur.a[0][0], cur.a[0][1], cur.a[1][0] + 1, cur.a[1][1] + 1});
		B[u] += min({cur.a[0][0] + 1, cur.a[0][1] + 1, cur.a[1][0], cur.a[1][1]});
		v = u;
	}
}

int get() {
	Node cur = IT.get(from[0], to[0]);
	int res = INF;
	for (int i = 0; i < 2; i++)
		for (int j = 0; j < 2; j++)
			res = min(res, cur.a[i][j]);
	return res;
}

void initialize(int N, vector<int> A, vector<int> B) {
	n = N;
	for (int i = 0; i < n - 1; i++) {
		adj[A[i]].pb(B[i]);
		adj[B[i]].pb(A[i]);
	}
	dfs(1, 0);
	hld(1);
	for (int i = 0; i <= chain[0]; i++)
		from[i] = INF;
	for (int i = 1; i <= n; i++) {
		from[chain[i]] = min(from[chain[i]], tin[i]);
		to[chain[i]] = max(to[chain[i]], tin[i]);
		col[i] = -1;
	}
	for (int i = 1; i <= n; i++)
		IT.update(i);
}

int cat(int v) {
	col[v] = 0;
	update(v);
	return get();
}

int dog(int v) {
	col[v] = 1;
	update(v);
	return get();
}

int neighbor(int v) {
	col[v] = -1;
	update(v);
	return get();
}

// int main()
// {
	// ios::sync_with_stdio(0);
	// cin.tie(0); cout.tie(0);
	// if (fopen("Pets.INP", "r")) {
		// freopen("Pets.INP", "r", stdin);
		// freopen("Pets.OUT", "w", stdout);
	// }
	// cin >> n;
	// for (int i = 1, u, v; i < n; i++) {
		// cin >> u >> v;
		// adj[u].pb(v);
		// adj[v].pb(u);
	// }
	// dfs(1, 0);
	// hld(1);
	// for (int i = 0; i <= chain[0]; i++)
		// from[i] = INF;
	// for (int i = 1; i <= n; i++) {
		// from[chain[i]] = min(from[chain[i]], tin[i]);
		// to[chain[i]] = max(to[chain[i]], tin[i]);
		// col[i] = -1;
	// }
	// for (int i = 1; i <= n; i++)
		// IT.update(i);
	// int q; cin >> q;
	// while (q--) {
		// int t, u; cin >> t >> u;
		// if (t == 1) col[u] = 0;
		// if (t == 2) col[u] = 1;
		// if (t == 3) col[u] = -1;
		// update(u);
		// cout << get() << '\n';
	// }
// }

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12888 KB Output is correct
2 Correct 3 ms 12888 KB Output is correct
3 Correct 4 ms 13144 KB Output is correct
4 Correct 3 ms 12888 KB Output is correct
5 Correct 3 ms 12888 KB Output is correct
6 Correct 3 ms 12888 KB Output is correct
7 Correct 3 ms 12888 KB Output is correct
8 Correct 3 ms 12892 KB Output is correct
9 Correct 3 ms 12888 KB Output is correct
10 Correct 3 ms 12888 KB Output is correct
11 Correct 3 ms 13040 KB Output is correct
12 Correct 3 ms 12888 KB Output is correct
13 Correct 3 ms 12888 KB Output is correct
14 Correct 3 ms 13040 KB Output is correct
15 Correct 3 ms 12892 KB Output is correct
16 Correct 3 ms 12888 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12888 KB Output is correct
2 Correct 3 ms 12888 KB Output is correct
3 Correct 4 ms 13144 KB Output is correct
4 Correct 3 ms 12888 KB Output is correct
5 Correct 3 ms 12888 KB Output is correct
6 Correct 3 ms 12888 KB Output is correct
7 Correct 3 ms 12888 KB Output is correct
8 Correct 3 ms 12892 KB Output is correct
9 Correct 3 ms 12888 KB Output is correct
10 Correct 3 ms 12888 KB Output is correct
11 Correct 3 ms 13040 KB Output is correct
12 Correct 3 ms 12888 KB Output is correct
13 Correct 3 ms 12888 KB Output is correct
14 Correct 3 ms 13040 KB Output is correct
15 Correct 3 ms 12892 KB Output is correct
16 Correct 3 ms 12888 KB Output is correct
17 Correct 5 ms 12888 KB Output is correct
18 Correct 5 ms 12888 KB Output is correct
19 Correct 4 ms 12888 KB Output is correct
20 Correct 3 ms 12888 KB Output is correct
21 Correct 4 ms 12888 KB Output is correct
22 Correct 4 ms 12892 KB Output is correct
23 Correct 6 ms 12892 KB Output is correct
24 Correct 5 ms 12888 KB Output is correct
25 Correct 5 ms 12888 KB Output is correct
26 Correct 5 ms 12888 KB Output is correct
27 Correct 3 ms 12888 KB Output is correct
28 Correct 4 ms 12888 KB Output is correct
29 Correct 5 ms 13144 KB Output is correct
30 Correct 4 ms 12892 KB Output is correct
31 Correct 4 ms 12888 KB Output is correct
32 Correct 4 ms 12892 KB Output is correct

Subtask #3
62.0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12888 KB Output is correct
2 Correct 3 ms 12888 KB Output is correct
3 Correct 4 ms 13144 KB Output is correct
4 Correct 3 ms 12888 KB Output is correct
5 Correct 3 ms 12888 KB Output is correct
6 Correct 3 ms 12888 KB Output is correct
7 Correct 3 ms 12888 KB Output is correct
8 Correct 3 ms 12892 KB Output is correct
9 Correct 3 ms 12888 KB Output is correct
10 Correct 3 ms 12888 KB Output is correct
11 Correct 3 ms 13040 KB Output is correct
12 Correct 3 ms 12888 KB Output is correct
13 Correct 3 ms 12888 KB Output is correct
14 Correct 3 ms 13040 KB Output is correct
15 Correct 3 ms 12892 KB Output is correct
16 Correct 3 ms 12888 KB Output is correct
17 Correct 5 ms 12888 KB Output is correct
18 Correct 5 ms 12888 KB Output is correct
19 Correct 4 ms 12888 KB Output is correct
20 Correct 3 ms 12888 KB Output is correct
21 Correct 4 ms 12888 KB Output is correct
22 Correct 4 ms 12892 KB Output is correct
23 Correct 6 ms 12892 KB Output is correct
24 Correct 5 ms 12888 KB Output is correct
25 Correct 5 ms 12888 KB Output is correct
26 Correct 5 ms 12888 KB Output is correct
27 Correct 3 ms 12888 KB Output is correct
28 Correct 4 ms 12888 KB Output is correct
29 Correct 5 ms 13144 KB Output is correct
30 Correct 4 ms 12892 KB Output is correct
31 Correct 4 ms 12888 KB Output is correct
32 Correct 4 ms 12892 KB Output is correct
33 Correct 295 ms 17340 KB Output is correct
34 Correct 106 ms 17232 KB Output is correct
35 Correct 263 ms 16708 KB Output is correct
36 Correct 406 ms 20116 KB Output is correct
37 Correct 25 ms 14680 KB Output is correct
38 Correct 442 ms 20800 KB Output is correct
39 Correct 484 ms 20928 KB Output is correct
40 Correct 474 ms 21052 KB Output is correct
41 Correct 447 ms 20816 KB Output is correct
42 Correct 436 ms 20944 KB Output is correct
43 Correct 427 ms 20816 KB Output is correct
44 Correct 440 ms 20940 KB Output is correct
45 Correct 448 ms 20828 KB Output is correct
46 Correct 446 ms 20852 KB Output is correct
47 Correct 443 ms 20816 KB Output is correct
48 Correct 149 ms 18632 KB Output is correct
49 Correct 160 ms 20004 KB Output is correct
50 Correct 61 ms 14640 KB Output is correct
51 Correct 68 ms 15564 KB Output is correct
52 Correct 32 ms 14168 KB Output is correct
53 Correct 199 ms 19548 KB Output is correct
54 Correct 155 ms 16136 KB Output is correct
55 Correct 365 ms 18928 KB Output is correct
56 Correct 252 ms 16884 KB Output is correct
57 Correct 326 ms 19536 KB Output is correct
58 Correct 41 ms 16084 KB Output is correct
59 Correct 67 ms 15448 KB Output is correct
60 Correct 143 ms 19376 KB Output is correct
61 Correct 174 ms 19876 KB Output is correct
62 Correct 97 ms 18124 KB Output is correct
63 Correct 62 ms 19024 KB Output is correct
64 Correct 68 ms 20560 KB Output is correct
65 Correct 89 ms 24668 KB Output is correct
66 Correct 97 ms 16120 KB Output is correct
67 Correct 105 ms 21328 KB Output is correct
68 Correct 182 ms 25220 KB Output is correct
69 Correct 38 ms 14416 KB Output is correct
70 Correct 12 ms 13144 KB Output is correct
71 Correct 77 ms 18768 KB Output is correct
72 Correct 109 ms 23632 KB Output is correct
73 Correct 285 ms 28240 KB Output is correct
74 Correct 289 ms 24812 KB Output is correct
75 Correct 207 ms 28280 KB Output is correct
76 Correct 191 ms 27116 KB Output is correct
77 Correct 295 ms 25052 KB Output is correct