oj.uz

Submission #1046150

# Submission time Handle Problem Language Result Execution time Memory
1046150 2024-08-06T10:36:25 Z javotaz Subtree (INOI20_subtree) C++17
50 / 100
 2000 ms 34904 KB 
// In the Name of Allah
 
#include<bits/stdc++.h>
using namespace std;
 
#pragma GCC optimize("Ofast,unroll-loops,fast-math")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4.1,avx,avx2,sse4.2,popcnt,tune=native")
 
typedef long long ll;
 
#define F first
#define S second
#define pii pair<int, int>
#define pb push_back
#define pp pop_back
#define all(x) x.begin(), x.end()

const int mod = 1e9 + 7, N = 1e5 + 12;
vector<int> g[N], e[N];
int n, m, tc, c[N], h[N];
ll ans, dp[N];
bool mrk[N];

void ip() {
	cin >> n >> m;
	for (int i = 0; i < m; i++) {
		int u, v;
		cin >> u >> v;
		u--, v--;
		g[u].pb(v), g[v].pb(u);
	}
}

pii dfs1(int u, int par = -1) {
	mrk[u] = true;
	pii res = {-1, n};
	for (auto i: g[u])
		if (i != par) {
			if (mrk[i]) { 
				if (!c[i])
					res = {++tc, h[i]};
			}
			else {
				h[i] = h[u] + 1;
				pii tmp = dfs1(i, u);
				if (tmp.S <= h[u])
					res = tmp;
			}
		}
	if (res.S > h[u]) 
		c[u] = ++tc;
	else
		c[u] = res.F;
	e[c[u]].pb(u);
	return res;
} 

void dfs(int u, int par = -1) {
	vector<ll> v;
	int sz = e[u].size(), t = -1;
	for (auto i: e[u]) {
		ll x = 1;
		for (auto j: g[i])
			if (c[j] != par && c[j] != u) {
				dfs(c[j], u);
				x = (x * (dp[c[j]] + 1)) % mod;
			}
			else if (c[j] == par)
				t = v.size();
		v.pb(x);
	}
	if (t != -1) {
		vector<ll> z(sz), p(sz);
		for (int i = t; i < sz; i++)
			z[i - t] = v[i];
		for (int i = 0; i < t; i++)
			z[sz - t + i] = v[i];
		p[0] = 1;
		for (int j = 1; j < sz - 1; ++j) {
			ll i = z[j];
			p[j] = (p[j - 1] * i) % mod;
		}
		for (int j = 1; j < sz - 1; ++j)
			p[j] = (p[j] + p[j - 1]) % mod;
		reverse(z.begin() + 1, z.end());
		ll x = 1;
		for (int j = 0; j < sz - 1; ++j) {
			ll i = z[j];
			x = (x * i) % mod;
			dp[u] = (dp[u] + x * p[sz - j - 2]) % mod;
		}
		if (sz == 1)
			dp[u] = z[0];
	}
	vector<ll> z(sz, 1);
	for (int i = 0; i < sz - 1; i++) {
		for (int j = 0; j < sz; ++j)
			z[j] = (z[j] * v[((i + j) >= sz)? i + j - sz : i + j]) % mod, ans += z[j];
		ans %= mod;
	}
	if (sz == 1)
		ans = (ans + v[0]) % mod;
}

void solve() {
	dfs1(0);
	dfs(1);
	cout << ans;
}

int32_t main() {
	ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
	ip(), solve();
	return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6488 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 1 ms 6488 KB Output is correct
22 Correct 1 ms 6492 KB Output is correct
23 Correct 1 ms 6492 KB Output is correct
24 Correct 1 ms 6492 KB Output is correct
25 Correct 1 ms 6492 KB Output is correct
26 Correct 1 ms 6492 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6492 KB Output is correct
29 Correct 1 ms 6492 KB Output is correct
30 Correct 1 ms 6492 KB Output is correct
31 Correct 1 ms 6492 KB Output is correct
32 Correct 1 ms 6492 KB Output is correct
33 Correct 1 ms 6492 KB Output is correct
34 Correct 1 ms 6492 KB Output is correct
35 Correct 1 ms 6580 KB Output is correct
36 Correct 1 ms 6492 KB Output is correct
37 Correct 1 ms 6492 KB Output is correct
38 Correct 1 ms 6492 KB Output is correct
39 Correct 1 ms 6492 KB Output is correct
40 Correct 1 ms 6492 KB Output is correct
41 Correct 1 ms 6492 KB Output is correct
42 Correct 1 ms 6492 KB Output is correct
43 Correct 1 ms 6492 KB Output is correct
44 Correct 1 ms 6492 KB Output is correct
45 Correct 1 ms 6492 KB Output is correct
46 Correct 1 ms 6492 KB Output is correct
47 Correct 1 ms 6644 KB Output is correct
48 Correct 1 ms 6492 KB Output is correct
49 Correct 1 ms 6492 KB Output is correct
50 Correct 1 ms 6492 KB Output is correct
51 Correct 1 ms 6492 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 3 ms 7260 KB Output is correct
3 Correct 34 ms 13148 KB Output is correct
4 Correct 33 ms 13148 KB Output is correct
5 Correct 40 ms 13168 KB Output is correct
6 Correct 36 ms 13148 KB Output is correct
7 Correct 43 ms 28940 KB Output is correct
8 Correct 37 ms 23068 KB Output is correct
9 Correct 43 ms 22864 KB Output is correct
10 Correct 38 ms 13652 KB Output is correct
11 Correct 33 ms 13196 KB Output is correct
12 Correct 36 ms 13096 KB Output is correct
13 Correct 33 ms 13012 KB Output is correct
14 Correct 30 ms 19880 KB Output is correct
15 Correct 42 ms 32624 KB Output is correct
16 Correct 46 ms 34904 KB Output is correct
17 Correct 34 ms 13144 KB Output is correct
18 Correct 33 ms 13136 KB Output is correct
19 Correct 33 ms 13148 KB Output is correct
20 Correct 26 ms 13268 KB Output is correct
21 Correct 31 ms 13576 KB Output is correct
22 Correct 40 ms 13396 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6488 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 1 ms 6488 KB Output is correct
22 Correct 1 ms 6492 KB Output is correct
23 Correct 1 ms 6492 KB Output is correct
24 Correct 1 ms 6492 KB Output is correct
25 Correct 1 ms 6492 KB Output is correct
26 Correct 1 ms 6492 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6492 KB Output is correct
29 Correct 1 ms 6492 KB Output is correct
30 Correct 1 ms 6492 KB Output is correct
31 Correct 1 ms 6492 KB Output is correct
32 Correct 1 ms 6492 KB Output is correct
33 Correct 1 ms 6492 KB Output is correct
34 Correct 1 ms 6492 KB Output is correct
35 Correct 1 ms 6580 KB Output is correct
36 Correct 1 ms 6492 KB Output is correct
37 Correct 1 ms 6492 KB Output is correct
38 Correct 1 ms 6492 KB Output is correct
39 Correct 1 ms 6492 KB Output is correct
40 Correct 1 ms 6492 KB Output is correct
41 Correct 1 ms 6492 KB Output is correct
42 Correct 1 ms 6492 KB Output is correct
43 Correct 1 ms 6492 KB Output is correct
44 Correct 1 ms 6492 KB Output is correct
45 Correct 1 ms 6492 KB Output is correct
46 Correct 1 ms 6492 KB Output is correct
47 Correct 1 ms 6644 KB Output is correct
48 Correct 1 ms 6492 KB Output is correct
49 Correct 1 ms 6492 KB Output is correct
50 Correct 1 ms 6492 KB Output is correct
51 Correct 1 ms 6492 KB Output is correct
52 Correct 3 ms 6748 KB Output is correct
53 Correct 2 ms 6748 KB Output is correct
54 Correct 2 ms 6748 KB Output is correct
55 Correct 2 ms 7004 KB Output is correct
56 Correct 2 ms 7260 KB Output is correct
57 Correct 2 ms 7004 KB Output is correct
58 Correct 2 ms 7000 KB Output is correct
59 Correct 2 ms 7256 KB Output is correct
60 Correct 2 ms 7000 KB Output is correct
61 Correct 2 ms 6748 KB Output is correct
62 Correct 2 ms 6748 KB Output is correct
63 Correct 2 ms 7004 KB Output is correct
64 Correct 2 ms 7004 KB Output is correct
65 Correct 2 ms 7004 KB Output is correct
66 Correct 2 ms 6748 KB Output is correct
67 Correct 2 ms 7004 KB Output is correct
68 Correct 2 ms 7004 KB Output is correct
69 Correct 2 ms 6748 KB Output is correct
70 Correct 2 ms 7000 KB Output is correct
71 Correct 2 ms 6908 KB Output is correct
72 Correct 2 ms 6748 KB Output is correct
73 Correct 2 ms 7004 KB Output is correct
74 Correct 2 ms 6748 KB Output is correct
75 Correct 2 ms 7076 KB Output is correct
76 Correct 2 ms 6748 KB Output is correct
77 Correct 2 ms 7260 KB Output is correct
78 Correct 5 ms 6952 KB Output is correct
79 Correct 5 ms 7092 KB Output is correct
80 Correct 2 ms 6748 KB Output is correct
81 Correct 2 ms 7004 KB Output is correct
82 Correct 3 ms 7004 KB Output is correct
83 Correct 2 ms 6748 KB Output is correct

Subtask #4
0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6488 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 1 ms 6488 KB Output is correct
22 Correct 1 ms 6492 KB Output is correct
23 Correct 1 ms 6492 KB Output is correct
24 Correct 1 ms 6492 KB Output is correct
25 Correct 1 ms 6492 KB Output is correct
26 Correct 1 ms 6492 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6492 KB Output is correct
29 Correct 1 ms 6492 KB Output is correct
30 Correct 1 ms 6492 KB Output is correct
31 Correct 1 ms 6492 KB Output is correct
32 Correct 1 ms 6492 KB Output is correct
33 Correct 1 ms 6492 KB Output is correct
34 Correct 1 ms 6492 KB Output is correct
35 Correct 1 ms 6580 KB Output is correct
36 Correct 1 ms 6492 KB Output is correct
37 Correct 1 ms 6492 KB Output is correct
38 Correct 1 ms 6492 KB Output is correct
39 Correct 1 ms 6492 KB Output is correct
40 Correct 1 ms 6492 KB Output is correct
41 Correct 1 ms 6492 KB Output is correct
42 Correct 1 ms 6492 KB Output is correct
43 Correct 1 ms 6492 KB Output is correct
44 Correct 1 ms 6492 KB Output is correct
45 Correct 1 ms 6492 KB Output is correct
46 Correct 1 ms 6492 KB Output is correct
47 Correct 1 ms 6644 KB Output is correct
48 Correct 1 ms 6492 KB Output is correct
49 Correct 1 ms 6492 KB Output is correct
50 Correct 1 ms 6492 KB Output is correct
51 Correct 1 ms 6492 KB Output is correct
52 Correct 1 ms 6488 KB Output is correct
53 Correct 3 ms 7260 KB Output is correct
54 Correct 34 ms 13148 KB Output is correct
55 Correct 33 ms 13148 KB Output is correct
56 Correct 40 ms 13168 KB Output is correct
57 Correct 36 ms 13148 KB Output is correct
58 Correct 43 ms 28940 KB Output is correct
59 Correct 37 ms 23068 KB Output is correct
60 Correct 43 ms 22864 KB Output is correct
61 Correct 38 ms 13652 KB Output is correct
62 Correct 33 ms 13196 KB Output is correct
63 Correct 36 ms 13096 KB Output is correct
64 Correct 33 ms 13012 KB Output is correct
65 Correct 30 ms 19880 KB Output is correct
66 Correct 42 ms 32624 KB Output is correct
67 Correct 46 ms 34904 KB Output is correct
68 Correct 34 ms 13144 KB Output is correct
69 Correct 33 ms 13136 KB Output is correct
70 Correct 33 ms 13148 KB Output is correct
71 Correct 26 ms 13268 KB Output is correct
72 Correct 31 ms 13576 KB Output is correct
73 Correct 40 ms 13396 KB Output is correct
74 Correct 3 ms 6748 KB Output is correct
75 Correct 2 ms 6748 KB Output is correct
76 Correct 2 ms 6748 KB Output is correct
77 Correct 2 ms 7004 KB Output is correct
78 Correct 2 ms 7260 KB Output is correct
79 Correct 2 ms 7004 KB Output is correct
80 Correct 2 ms 7000 KB Output is correct
81 Correct 2 ms 7256 KB Output is correct
82 Correct 2 ms 7000 KB Output is correct
83 Correct 2 ms 6748 KB Output is correct
84 Correct 2 ms 6748 KB Output is correct
85 Correct 2 ms 7004 KB Output is correct
86 Correct 2 ms 7004 KB Output is correct
87 Correct 2 ms 7004 KB Output is correct
88 Correct 2 ms 6748 KB Output is correct
89 Correct 2 ms 7004 KB Output is correct
90 Correct 2 ms 7004 KB Output is correct
91 Correct 2 ms 6748 KB Output is correct
92 Correct 2 ms 7000 KB Output is correct
93 Correct 2 ms 6908 KB Output is correct
94 Correct 2 ms 6748 KB Output is correct
95 Correct 2 ms 7004 KB Output is correct
96 Correct 2 ms 6748 KB Output is correct
97 Correct 2 ms 7076 KB Output is correct
98 Correct 2 ms 6748 KB Output is correct
99 Correct 2 ms 7260 KB Output is correct
100 Correct 5 ms 6952 KB Output is correct
101 Correct 5 ms 7092 KB Output is correct
102 Correct 2 ms 6748 KB Output is correct
103 Correct 2 ms 7004 KB Output is correct
104 Correct 3 ms 7004 KB Output is correct
105 Correct 2 ms 6748 KB Output is correct
106 Correct 35 ms 12916 KB Output is correct
107 Correct 34 ms 12632 KB Output is correct
108 Correct 32 ms 12376 KB Output is correct
109 Correct 34 ms 12380 KB Output is correct
110 Correct 30 ms 13404 KB Output is correct
111 Correct 42 ms 13912 KB Output is correct
112 Correct 36 ms 18004 KB Output is correct
113 Correct 32 ms 11700 KB Output is correct
114 Correct 32 ms 12188 KB Output is correct
115 Correct 25 ms 13268 KB Output is correct
116 Correct 37 ms 21332 KB Output is correct
117 Correct 37 ms 18788 KB Output is correct
118 Correct 25 ms 14032 KB Output is correct
119 Correct 31 ms 11864 KB Output is correct
120 Correct 34 ms 11608 KB Output is correct
121 Correct 38 ms 11296 KB Output is correct
122 Correct 35 ms 11352 KB Output is correct
123 Correct 28 ms 13404 KB Output is correct
124 Correct 29 ms 13404 KB Output is correct
125 Correct 35 ms 13412 KB Output is correct
126 Correct 41 ms 12860 KB Output is correct
127 Correct 32 ms 12636 KB Output is correct
128 Correct 32 ms 12432 KB Output is correct
129 Correct 36 ms 12372 KB Output is correct
130 Correct 29 ms 13492 KB Output is correct
131 Correct 31 ms 14148 KB Output is correct
132 Correct 36 ms 18012 KB Output is correct
133 Correct 35 ms 11868 KB Output is correct
134 Correct 32 ms 12120 KB Output is correct
135 Correct 26 ms 13268 KB Output is correct
136 Correct 35 ms 18776 KB Output is correct
137 Correct 36 ms 18268 KB Output is correct
138 Correct 33 ms 14036 KB Output is correct
139 Correct 31 ms 11868 KB Output is correct
140 Correct 32 ms 11624 KB Output is correct
141 Correct 33 ms 11444 KB Output is correct
142 Correct 34 ms 11092 KB Output is correct
143 Correct 29 ms 13384 KB Output is correct
144 Correct 28 ms 13404 KB Output is correct
145 Correct 25 ms 13268 KB Output is correct
146 Correct 28 ms 10584 KB Output is correct
147 Correct 41 ms 10580 KB Output is correct
148 Correct 142 ms 10844 KB Output is correct
149 Correct 1110 ms 12028 KB Output is correct
150 Execution timed out 2037 ms 20808 KB Time limit exceeded
151 Halted 0 ms 0 KB -