Submission #153756

# Submission time Handle Problem Language Result Execution time Memory
153756 2019-09-15T20:01:10 Z tutis Cats or Dogs (JOI18_catdog) C++17
100 / 100
2245 ms 38392 KB
/*input
3
1 2 1
2 3 1
3 1 2
*/
#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
vector<ll>adj[101010];
ll pa[101010], sz[101010];
void dfs(ll i, ll p)
{
	if (p != 0)
		adj[i].erase(find(adj[i].begin(), adj[i].end(), p));
	pa[i] = p;
	sz[i] = 1;
	pair<ll, ll>mx = { -1, -1};
	for (ll t = 0; t < (ll)adj[i].size(); t++)
	{
		ll j = adj[i][t];
		dfs(j, i);
		sz[i] += sz[j];
		mx = max(mx, {sz[j], t});
	}
	if (mx.second != -1)
		swap(adj[i][0], adj[i][mx.second]);
}
ll timer = 1;
ll nr[101010], head[101010], tail[101010];
void hld(ll i, ll h)
{
	nr[i] = timer++;
	head[i] = h;
	tail[h] = i;
	for (ll t = 0; t < (ll)adj[i].size(); t++)
	{
		ll j = adj[i][t];
		hld(j, t == 0 ? h : j);
	}
}
struct line
{
	ll cc = 0, cd = 0, dd = 0, dc = 0;
	line() {}
	line(string s) {cc = -1; cd = -1; dd = -1; dc = -1;}
};
line merge(line a, line b)
{
	if (a.cc < 0)
		return b;
	if (b.cc < 0)
		return a;
	line c;
	c.cc = min({a.cc + b.cc, a.cc + b.dc + 1, a.cd + b.cc + 1, a.cd + b.dc});
	c.cd = min({a.cc + b.cd, a.cc + b.dd + 1, a.cd + b.cd + 1, a.cd + b.dd});
	c.dd = min({a.dc + b.cd, a.dc + b.dd + 1, a.dd + b.cd + 1, a.dd + b.dd});
	c.dc = min({a.dc + b.cc, a.dc + b.dc + 1, a.dd + b.cc + 1, a.dd + b.dc});
	return c;
}
struct ST
{
	line X;
	ll l, r;
	ST *left, *right;
	ST(ll l, ll r): l(l), r(r)
	{
		if (l < r)
		{
			left = new ST(l, (l + r) / 2);
			right = new ST((l + r) / 2 + 1, r);
			X = merge(left->X, right->X);
		}
		else
		{
			X.cc = 0;
			X.cd = 101010;
			X.dc = 101010;
			X.dd = 0;
		}
	}
	line get(ll x, ll y)
	{
		if (x <= l && r <= y)
			return X;
		if (r < x || y < l)
			return line("blogai");
		return merge(left->get(x, y), right->get(x, y));
	}
	void setC(ll x, ll w)
	{
		if (l == r)
		{
			X.cc = w;
		}
		else
		{
			if (x <= (l + r) / 2)
				left->setC(x, w);
			else
				right->setC(x, w);
			X = merge(left->X, right->X);
		}
	}
	void setD(ll x, ll w)
	{
		if (l == r)
		{
			X.dd = w;
		}
		else
		{
			if (x <= (l + r) / 2)
				left->setD(x, w);
			else
				right->setD(x, w);
			X = merge(left->X, right->X);
		}
	}
} medis(0, 101010);
void initialize(int N, vector<int> A, vector<int> B)
{
	for (int i = 0; i < N - 1; i++)
	{
		adj[A[i]].push_back(B[i]);
		adj[B[i]].push_back(A[i]);
	}
	dfs(1, 0);
	hld(1, 1);
}
ll C[101010], D[101010], V[101010];
void fix(ll v)
{
	ll w = head[v];
	line X = medis.get(nr[w], nr[tail[w]]);
	C[pa[w]] -= min({X.cd, X.cc, X.dc + 1, X.dd + 1});
	D[pa[w]] -= min({X.cd + 1, X.cc + 1, X.dc, X.dd});
	if (V[v] == -1)
	{
		medis.setC(nr[v], C[v]);
		medis.setD(nr[v], 101010);
	} else if (V[v] == 1)
	{
		medis.setC(nr[v], 101010);
		medis.setD(nr[v], D[v]);
	} else
	{
		medis.setC(nr[v], C[v]);
		medis.setD(nr[v], D[v]);
	}
	X = medis.get(nr[w], nr[tail[w]]);
	C[pa[w]] += min({X.cd, X.cc, X.dc + 1, X.dd + 1});
	D[pa[w]] += min({X.cd + 1, X.cc + 1, X.dc, X.dd});
	if (v != w)
		return fix(w);
	else if (v != 1)
		return fix(pa[v]);
}
int cat(int v)
{
	V[v] = -1;
	fix(v);
	return min(C[0], D[0]);
}
int dog(int v)
{
	V[v] = 1;
	fix(v);
	return min(C[0], D[0]);
}
int neighbor(int v)
{
	V[v] = 0;
	fix(v);
	return min(C[0], D[0]);
}/*
int main()
{
	initialize(3, {1, 1}, {2, 3});
	cout << cat(1) << endl;
	cout << C[0] << " " << D[0] << endl;
	cout << dog(2) << endl;
	cout << dog(3) << endl;
}*/
# Verdict Execution time Memory Grader output
1 Correct 24 ms 18680 KB Output is correct
2 Correct 24 ms 18552 KB Output is correct
3 Correct 27 ms 18552 KB Output is correct
4 Correct 28 ms 18556 KB Output is correct
5 Correct 24 ms 18552 KB Output is correct
6 Correct 27 ms 18552 KB Output is correct
7 Correct 24 ms 18552 KB Output is correct
8 Correct 25 ms 18556 KB Output is correct
9 Correct 24 ms 18680 KB Output is correct
10 Correct 24 ms 18680 KB Output is correct
11 Correct 24 ms 18552 KB Output is correct
12 Correct 28 ms 18560 KB Output is correct
13 Correct 25 ms 18580 KB Output is correct
14 Correct 24 ms 18552 KB Output is correct
15 Correct 24 ms 18596 KB Output is correct
16 Correct 24 ms 18484 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 24 ms 18680 KB Output is correct
2 Correct 24 ms 18552 KB Output is correct
3 Correct 27 ms 18552 KB Output is correct
4 Correct 28 ms 18556 KB Output is correct
5 Correct 24 ms 18552 KB Output is correct
6 Correct 27 ms 18552 KB Output is correct
7 Correct 24 ms 18552 KB Output is correct
8 Correct 25 ms 18556 KB Output is correct
9 Correct 24 ms 18680 KB Output is correct
10 Correct 24 ms 18680 KB Output is correct
11 Correct 24 ms 18552 KB Output is correct
12 Correct 28 ms 18560 KB Output is correct
13 Correct 25 ms 18580 KB Output is correct
14 Correct 24 ms 18552 KB Output is correct
15 Correct 24 ms 18596 KB Output is correct
16 Correct 24 ms 18484 KB Output is correct
17 Correct 30 ms 18720 KB Output is correct
18 Correct 30 ms 18680 KB Output is correct
19 Correct 27 ms 18680 KB Output is correct
20 Correct 24 ms 18552 KB Output is correct
21 Correct 26 ms 18552 KB Output is correct
22 Correct 27 ms 18552 KB Output is correct
23 Correct 32 ms 18680 KB Output is correct
24 Correct 31 ms 18680 KB Output is correct
25 Correct 30 ms 18680 KB Output is correct
26 Correct 26 ms 18552 KB Output is correct
27 Correct 25 ms 18552 KB Output is correct
28 Correct 28 ms 18680 KB Output is correct
29 Correct 28 ms 18680 KB Output is correct
30 Correct 27 ms 18680 KB Output is correct
31 Correct 25 ms 18680 KB Output is correct
32 Correct 27 ms 18552 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 24 ms 18680 KB Output is correct
2 Correct 24 ms 18552 KB Output is correct
3 Correct 27 ms 18552 KB Output is correct
4 Correct 28 ms 18556 KB Output is correct
5 Correct 24 ms 18552 KB Output is correct
6 Correct 27 ms 18552 KB Output is correct
7 Correct 24 ms 18552 KB Output is correct
8 Correct 25 ms 18556 KB Output is correct
9 Correct 24 ms 18680 KB Output is correct
10 Correct 24 ms 18680 KB Output is correct
11 Correct 24 ms 18552 KB Output is correct
12 Correct 28 ms 18560 KB Output is correct
13 Correct 25 ms 18580 KB Output is correct
14 Correct 24 ms 18552 KB Output is correct
15 Correct 24 ms 18596 KB Output is correct
16 Correct 24 ms 18484 KB Output is correct
17 Correct 30 ms 18720 KB Output is correct
18 Correct 30 ms 18680 KB Output is correct
19 Correct 27 ms 18680 KB Output is correct
20 Correct 24 ms 18552 KB Output is correct
21 Correct 26 ms 18552 KB Output is correct
22 Correct 27 ms 18552 KB Output is correct
23 Correct 32 ms 18680 KB Output is correct
24 Correct 31 ms 18680 KB Output is correct
25 Correct 30 ms 18680 KB Output is correct
26 Correct 26 ms 18552 KB Output is correct
27 Correct 25 ms 18552 KB Output is correct
28 Correct 28 ms 18680 KB Output is correct
29 Correct 28 ms 18680 KB Output is correct
30 Correct 27 ms 18680 KB Output is correct
31 Correct 25 ms 18680 KB Output is correct
32 Correct 27 ms 18552 KB Output is correct
33 Correct 1330 ms 26236 KB Output is correct
34 Correct 358 ms 26632 KB Output is correct
35 Correct 1239 ms 24492 KB Output is correct
36 Correct 2025 ms 31548 KB Output is correct
37 Correct 48 ms 22392 KB Output is correct
38 Correct 2068 ms 32784 KB Output is correct
39 Correct 2103 ms 32788 KB Output is correct
40 Correct 2127 ms 32856 KB Output is correct
41 Correct 2245 ms 32792 KB Output is correct
42 Correct 2081 ms 32796 KB Output is correct
43 Correct 1959 ms 32780 KB Output is correct
44 Correct 1890 ms 32812 KB Output is correct
45 Correct 1997 ms 32812 KB Output is correct
46 Correct 1898 ms 32792 KB Output is correct
47 Correct 1956 ms 32800 KB Output is correct
48 Correct 427 ms 27780 KB Output is correct
49 Correct 464 ms 29972 KB Output is correct
50 Correct 212 ms 21212 KB Output is correct
51 Correct 211 ms 23200 KB Output is correct
52 Correct 92 ms 20852 KB Output is correct
53 Correct 776 ms 31216 KB Output is correct
54 Correct 639 ms 24368 KB Output is correct
55 Correct 1692 ms 28796 KB Output is correct
56 Correct 1059 ms 25248 KB Output is correct
57 Correct 1299 ms 30604 KB Output is correct
58 Correct 77 ms 23120 KB Output is correct
59 Correct 194 ms 22772 KB Output is correct
60 Correct 390 ms 28788 KB Output is correct
61 Correct 429 ms 29376 KB Output is correct
62 Correct 284 ms 26768 KB Output is correct
63 Correct 141 ms 26664 KB Output is correct
64 Correct 151 ms 28768 KB Output is correct
65 Correct 157 ms 34168 KB Output is correct
66 Correct 301 ms 22648 KB Output is correct
67 Correct 223 ms 29688 KB Output is correct
68 Correct 457 ms 34516 KB Output is correct
69 Correct 168 ms 20216 KB Output is correct
70 Correct 60 ms 18808 KB Output is correct
71 Correct 247 ms 26272 KB Output is correct
72 Correct 305 ms 32504 KB Output is correct
73 Correct 643 ms 38392 KB Output is correct
74 Correct 708 ms 34052 KB Output is correct
75 Correct 560 ms 38236 KB Output is correct
76 Correct 553 ms 36728 KB Output is correct
77 Correct 707 ms 34468 KB Output is correct