oj.uz

Submission #519463

# Submission time Handle Problem Language Result Execution time Memory
519463 2022-01-26T12:02:18 Z AriaH Unique Cities (JOI19_ho_t5) C++17
36 / 100
 2000 ms 103104 KB 
/* I can do this all day */

#pragma GCC optimize("Ofast")

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

typedef long long ll;
typedef long double ld;
typedef pair < int, int > pii;
typedef pair < ll, ll > pll;
typedef __int128 INT;

#define F first
#define S second
#define all(x) x.begin(),x.end()
#define Mp make_pair
#define point complex
#define endl '\n'
#define SZ(x) (int)x.size()
#define fast_io ios::sync_with_stdio(0), cin.tie(0), cout.tie(0)
#define file_io freopen("input.txt", "r+", stdin); freopen("output.txt", "w+", stdout);
#define mashtali return cout << "Hello, World!", 0;

template < typename T > using Tree = tree<T, null_type, less <T>, rb_tree_tag, tree_order_statistics_node_update>;

const int N = 1e6 + 10;
const int LOG = 20;
const ll mod = 1e9 + 7;
const ll inf = 8e18;
const double pi = acos(-1);
const ld eps = 1e-18;

ll pw(ll a, ll b, ll M, ll ret = 1) { if(a == 0) return 0; a %= M; while(b) { ret = (b & 1? ret * a % M : ret), a = a * a % M, b >>= 1; } return ret % M; }

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

int n, m, C[N], H[N], dp[N], mark[N], S[N], Ans[N], node[N];

set < int > st;

vector < int > G[N];

void pre(int v, int P = 0)
{
	H[v] = H[P] + 1;
	dp[v] = 1;
	for(auto u : G[v])
	{
		if(u == P) continue;
		pre(u, v);
		dp[v] = max(dp[v], dp[u] + 1);
	}
}

bool cmp(int i, int j)
{
	return dp[i] < dp[j];
}

void dfs(int v, int P, int tp)
{
	node[H[v]] = v;
	vector < int > hist;
	sort(all(G[v]), cmp);
	int Mx1 = 0, Mx2 = 0, id1 = -1;
	for(auto u : G[v])
	{
		if(u == P) continue;
		if(dp[u] > Mx1)
		{
			Mx2 = Mx1;
			Mx1 = dp[u];
			id1 = u;
		}
		else if(dp[u] > Mx2)
		{
			Mx2 = dp[u];
		}
	}
	while(SZ(st))
	{
		int cu = *st.begin();
		cu = -cu;
		int U = node[cu];
		if(cu >= H[v] - Mx1)
		{
			hist.push_back(cu);
			st.erase(st.begin());
			mark[C[U]] = 0;
		}
		else
		{
			break;
		}
	}
	if(S[v] == tp) Ans[v] += SZ(st);
	if(!mark[C[v]])
	{
		mark[C[v]] = 1;
		st.insert(-H[v]);
	}
	for(auto u : G[v])
	{
		if(u == P || u == id1) continue;
		dfs(u, v, tp);
	}
	if(st.count(-H[v]))
	{
		st.erase(-H[v]);
		mark[C[v]] = 0;
	}
	while(SZ(hist))
	{
		int cu = hist.back();
		int U = node[cu];
		if(cu >= H[v] - Mx2)
		{
			break;
		}
		mark[C[U]] = 1;
		st.insert(-cu);
		hist.pop_back();
	}
	if(!mark[C[v]])
	{
		mark[C[v]] = 1;
		st.insert(-H[v]);
	}
	if(id1 != -1)
	{
		dfs(id1, v, tp);
	}
	if(st.count(-H[v]))
	{
		st.erase(-H[v]);
		mark[C[v]] = 0;
	}
	while(SZ(hist))
	{
		int cu = hist.back();
		int U = node[cu];
		hist.pop_back();
		st.insert(-cu);
		mark[C[U]] = 1;
	}
}

int fir[N], sec[N];

int main()
{
	fast_io;
	cin >> n >> m;
	for(int i = 1; i < n; i ++)
	{
		int a, b;
		cin >> a >> b;
		G[a].push_back(b);
		G[b].push_back(a);
	}
	for(int i = 1; i <= n; i ++)
	{
		cin >> C[i];
	}
	pre(1, 0);
	int L = 0, R = 0;
	for(int i = 1; i <= n; i ++)
	{
		if(H[i] > H[L]) L = i;
	}
	pre(L, 0);
	///printf("L = %d\n", L);
	for(int i = 1; i <= n; i ++)
	{
		fir[i] = H[i];
		if(H[i] > H[R]) R = i;
		///printf("i = %d H = %d dp = %d\n", i, H[i], dp[i]);
	}
	pre(R, 0);
	for(int i = 1; i <= n; i ++)
	{
		sec[i] = H[i];
		if(fir[i] > sec[i])
		{
			S[i] = 0;
		}
		else
		{
			S[i] = 1;
		}
	}
	pre(L, 0);
	///printf("R = %d\n", R);
	dfs(L, 0, 0);
	st.clear();
	memset(mark, 0, sizeof mark);
	pre(R, 0);
	for(int i = 1; i <= n; i ++)
	{
		///printf("i = %d H = %d dp = %d\n", i, H[i], dp[i]);
	}
	dfs(R, 0, 1);
	for(int i = 1; i <= n; i ++)
	{
		cout << Ans[i] << "\n";
	}

	return 0;
}

/* check corner case(n = 1?), watch for negetive index or overflow */

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 27648 KB Output is correct
2 Correct 19 ms 27896 KB Output is correct
3 Correct 59 ms 28996 KB Output is correct
4 Correct 51 ms 28624 KB Output is correct
5 Correct 19 ms 27872 KB Output is correct
6 Correct 20 ms 28212 KB Output is correct
7 Correct 22 ms 28048 KB Output is correct
8 Correct 19 ms 27880 KB Output is correct
9 Correct 21 ms 27976 KB Output is correct
10 Correct 21 ms 27916 KB Output is correct
11 Correct 22 ms 27864 KB Output is correct
12 Correct 21 ms 27912 KB Output is correct
13 Correct 24 ms 28284 KB Output is correct
14 Correct 21 ms 28044 KB Output is correct
15 Correct 21 ms 28052 KB Output is correct
16 Correct 21 ms 27908 KB Output is correct
17 Correct 19 ms 28104 KB Output is correct
18 Correct 20 ms 28076 KB Output is correct
19 Correct 23 ms 27908 KB Output is correct
20 Correct 201 ms 32336 KB Output is correct
21 Correct 68 ms 29004 KB Output is correct
22 Correct 20 ms 27856 KB Output is correct
23 Correct 19 ms 27984 KB Output is correct
24 Correct 21 ms 27884 KB Output is correct
25 Correct 22 ms 27852 KB Output is correct
26 Correct 20 ms 27924 KB Output is correct
27 Correct 109 ms 30076 KB Output is correct
28 Correct 80 ms 29528 KB Output is correct
29 Correct 45 ms 28536 KB Output is correct
30 Correct 20 ms 27936 KB Output is correct
31 Correct 54 ms 28852 KB Output is correct
32 Correct 73 ms 29040 KB Output is correct

Subtask #2
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 202 ms 36492 KB Output is correct
2 Correct 252 ms 58328 KB Output is correct
3 Correct 45 ms 32648 KB Output is correct
4 Correct 439 ms 42984 KB Output is correct
5 Correct 495 ms 81152 KB Output is correct
6 Correct 541 ms 62784 KB Output is correct
7 Correct 386 ms 43004 KB Output is correct
8 Correct 424 ms 46772 KB Output is correct
9 Correct 450 ms 45704 KB Output is correct
10 Correct 404 ms 45536 KB Output is correct
11 Correct 216 ms 43648 KB Output is correct
12 Correct 453 ms 66836 KB Output is correct
13 Correct 410 ms 61516 KB Output is correct
14 Correct 449 ms 61208 KB Output is correct
15 Correct 204 ms 43432 KB Output is correct
16 Correct 431 ms 68696 KB Output is correct
17 Correct 461 ms 62892 KB Output is correct

Subtask #3
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 351 ms 40440 KB Output is correct
2 Execution timed out 2081 ms 103104 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 27648 KB Output is correct
2 Correct 19 ms 27896 KB Output is correct
3 Correct 59 ms 28996 KB Output is correct
4 Correct 51 ms 28624 KB Output is correct
5 Correct 19 ms 27872 KB Output is correct
6 Correct 20 ms 28212 KB Output is correct
7 Correct 22 ms 28048 KB Output is correct
8 Correct 19 ms 27880 KB Output is correct
9 Correct 21 ms 27976 KB Output is correct
10 Correct 21 ms 27916 KB Output is correct
11 Correct 22 ms 27864 KB Output is correct
12 Correct 21 ms 27912 KB Output is correct
13 Correct 24 ms 28284 KB Output is correct
14 Correct 21 ms 28044 KB Output is correct
15 Correct 21 ms 28052 KB Output is correct
16 Correct 21 ms 27908 KB Output is correct
17 Correct 19 ms 28104 KB Output is correct
18 Correct 20 ms 28076 KB Output is correct
19 Correct 23 ms 27908 KB Output is correct
20 Correct 201 ms 32336 KB Output is correct
21 Correct 68 ms 29004 KB Output is correct
22 Correct 20 ms 27856 KB Output is correct
23 Correct 19 ms 27984 KB Output is correct
24 Correct 21 ms 27884 KB Output is correct
25 Correct 22 ms 27852 KB Output is correct
26 Correct 20 ms 27924 KB Output is correct
27 Correct 109 ms 30076 KB Output is correct
28 Correct 80 ms 29528 KB Output is correct
29 Correct 45 ms 28536 KB Output is correct
30 Correct 20 ms 27936 KB Output is correct
31 Correct 54 ms 28852 KB Output is correct
32 Correct 73 ms 29040 KB Output is correct
33 Correct 202 ms 36492 KB Output is correct
34 Correct 252 ms 58328 KB Output is correct
35 Correct 45 ms 32648 KB Output is correct
36 Correct 439 ms 42984 KB Output is correct
37 Correct 495 ms 81152 KB Output is correct
38 Correct 541 ms 62784 KB Output is correct
39 Correct 386 ms 43004 KB Output is correct
40 Correct 424 ms 46772 KB Output is correct
41 Correct 450 ms 45704 KB Output is correct
42 Correct 404 ms 45536 KB Output is correct
43 Correct 216 ms 43648 KB Output is correct
44 Correct 453 ms 66836 KB Output is correct
45 Correct 410 ms 61516 KB Output is correct
46 Correct 449 ms 61208 KB Output is correct
47 Correct 204 ms 43432 KB Output is correct
48 Correct 431 ms 68696 KB Output is correct
49 Correct 461 ms 62892 KB Output is correct
50 Correct 351 ms 40440 KB Output is correct
51 Execution timed out 2081 ms 103104 KB Time limit exceeded
52 Halted 0 ms 0 KB -