oj.uz

Submission #623612

# Submission time Handle Problem Language Result Execution time Memory
623612 2022-08-06T05:42:14 Z Arinoor Subtree (INOI20_subtree) C++17
100 / 100
 74 ms 21324 KB 
#include <bits/stdc++.h>
using namespace std;

#define pb				push_back
#define mp				make_pair
#define fi				first
#define se				second
#define all(x)			x.begin(), x.end()
#define bug(x)			cout << #x << " : " << x << '\n'
#define ios				ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0)

typedef long long ll;
typedef pair<int, int> pii;

const int maxn = 1e5 + 10;
const int mod = 1e9 + 7;
const int inf = 1e9 + 10;

int par[maxn], h[maxn], U[maxn];
int dp[maxn], val[maxn], val2[maxn], val3[maxn];
bool visited[maxn];
vector<int> G[maxn];

int add(int a, int b){
	int c = a + b;
	if(c >= mod)
		c -= mod;
	if(c < 0)
		c += mod;
	return c;
}

int mul(int a, int b){
	return 1ll * a * b % mod;
}

void dfs(int v){
	visited[v] = true;
	for(int u : G[v]){
		if(!visited[u]){
			par[u] = v;
			h[u] = h[v] + 1;
			dfs(u);
		}
		else if(h[v] < h[u]){
			U[v] = u;
		}
	}
}

void Dfs(int v){
	for(int u : G[v])
		if(par[u] == v)
			Dfs(u);
	if(!U[v]){
		dp[v] = 1;
		for(int u : G[v])
			if(par[u] == v)
				dp[v] = mul(dp[v], add(dp[u], 1));
		return;
	}
	vector<int> V;
	V.pb(0);
	int u = U[v];
	while(true){
		V.pb(u);
		if(u == v)
			break;
		u = par[u];
	}
	int m = V.size();
	val[0] = 1;
	for(int i = 1; i < m; i ++){
		val[i] = 1;
		int v = V[i];
		for(int u : G[v])
			if(par[u] == v and u != V[i - 1])
				val[i] = mul(val[i], add(dp[u], 1));
	}
	val2[0] = 1;
	for(int i = 1; i < m; i ++)
		val2[i] = mul(val2[i - 1], val[i]);
	val3[m - 1] = val[m - 1];
	for(int i = m - 2; ~i; i --)
		val3[i] = mul(val3[i + 1], val[i]);
	for(int i = m - 2; ~i; i --)
		val3[i] = add(val3[i], val3[i + 1]);
	for(int i = 0; i < m - 2; i ++)
		dp[v] = add(dp[v], mul(val2[i], val3[i + 2]));
}

int main(){
	ios;
	int n, m;
	cin >> n >> m;
	for(int i = 0; i < m; i ++){
		int u, v;
		cin >> u >> v;
		G[u].pb(v);
		G[v].pb(u);
	}
	dfs(1);
	Dfs(1);
	int ans = 0;
	for(int i = 1; i <= n; i ++){
		ans = add(ans, dp[i]);
	}
	cout << ans << '\n';
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2684 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 1 ms 2644 KB Output is correct
5 Correct 2 ms 2684 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 1 ms 2684 KB Output is correct
15 Correct 2 ms 2644 KB Output is correct
16 Correct 1 ms 2680 KB Output is correct
17 Correct 1 ms 2644 KB Output is correct
18 Correct 2 ms 2644 KB Output is correct
19 Correct 1 ms 2684 KB Output is correct
20 Correct 2 ms 2644 KB Output is correct
21 Correct 1 ms 2688 KB Output is correct
22 Correct 1 ms 2644 KB Output is correct
23 Correct 1 ms 2644 KB Output is correct
24 Correct 2 ms 2644 KB Output is correct
25 Correct 1 ms 2688 KB Output is correct
26 Correct 1 ms 2644 KB Output is correct
27 Correct 1 ms 2644 KB Output is correct
28 Correct 1 ms 2644 KB Output is correct
29 Correct 2 ms 2684 KB Output is correct
30 Correct 2 ms 2684 KB Output is correct
31 Correct 2 ms 2644 KB Output is correct
32 Correct 1 ms 2644 KB Output is correct
33 Correct 1 ms 2644 KB Output is correct
34 Correct 2 ms 2644 KB Output is correct
35 Correct 1 ms 2644 KB Output is correct
36 Correct 2 ms 2644 KB Output is correct
37 Correct 1 ms 2644 KB Output is correct
38 Correct 1 ms 2644 KB Output is correct
39 Correct 1 ms 2644 KB Output is correct
40 Correct 2 ms 2680 KB Output is correct
41 Correct 2 ms 2644 KB Output is correct
42 Correct 2 ms 2644 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 2 ms 2644 KB Output is correct
45 Correct 1 ms 2644 KB Output is correct
46 Correct 1 ms 2644 KB Output is correct
47 Correct 2 ms 2644 KB Output is correct
48 Correct 2 ms 2644 KB Output is correct
49 Correct 2 ms 2644 KB Output is correct
50 Correct 2 ms 2644 KB Output is correct
51 Correct 2 ms 2644 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 5 ms 3156 KB Output is correct
3 Correct 44 ms 8360 KB Output is correct
4 Correct 42 ms 8272 KB Output is correct
5 Correct 45 ms 8328 KB Output is correct
6 Correct 43 ms 8268 KB Output is correct
7 Correct 57 ms 18384 KB Output is correct
8 Correct 60 ms 14664 KB Output is correct
9 Correct 54 ms 14584 KB Output is correct
10 Correct 35 ms 8916 KB Output is correct
11 Correct 34 ms 8424 KB Output is correct
12 Correct 54 ms 8180 KB Output is correct
13 Correct 44 ms 8224 KB Output is correct
14 Correct 42 ms 12672 KB Output is correct
15 Correct 60 ms 19888 KB Output is correct
16 Correct 61 ms 21324 KB Output is correct
17 Correct 43 ms 8276 KB Output is correct
18 Correct 42 ms 8252 KB Output is correct
19 Correct 46 ms 8324 KB Output is correct
20 Correct 32 ms 8516 KB Output is correct
21 Correct 32 ms 8684 KB Output is correct
22 Correct 33 ms 8644 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2684 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 1 ms 2644 KB Output is correct
5 Correct 2 ms 2684 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 1 ms 2684 KB Output is correct
15 Correct 2 ms 2644 KB Output is correct
16 Correct 1 ms 2680 KB Output is correct
17 Correct 1 ms 2644 KB Output is correct
18 Correct 2 ms 2644 KB Output is correct
19 Correct 1 ms 2684 KB Output is correct
20 Correct 2 ms 2644 KB Output is correct
21 Correct 1 ms 2688 KB Output is correct
22 Correct 1 ms 2644 KB Output is correct
23 Correct 1 ms 2644 KB Output is correct
24 Correct 2 ms 2644 KB Output is correct
25 Correct 1 ms 2688 KB Output is correct
26 Correct 1 ms 2644 KB Output is correct
27 Correct 1 ms 2644 KB Output is correct
28 Correct 1 ms 2644 KB Output is correct
29 Correct 2 ms 2684 KB Output is correct
30 Correct 2 ms 2684 KB Output is correct
31 Correct 2 ms 2644 KB Output is correct
32 Correct 1 ms 2644 KB Output is correct
33 Correct 1 ms 2644 KB Output is correct
34 Correct 2 ms 2644 KB Output is correct
35 Correct 1 ms 2644 KB Output is correct
36 Correct 2 ms 2644 KB Output is correct
37 Correct 1 ms 2644 KB Output is correct
38 Correct 1 ms 2644 KB Output is correct
39 Correct 1 ms 2644 KB Output is correct
40 Correct 2 ms 2680 KB Output is correct
41 Correct 2 ms 2644 KB Output is correct
42 Correct 2 ms 2644 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 2 ms 2644 KB Output is correct
45 Correct 1 ms 2644 KB Output is correct
46 Correct 1 ms 2644 KB Output is correct
47 Correct 2 ms 2644 KB Output is correct
48 Correct 2 ms 2644 KB Output is correct
49 Correct 2 ms 2644 KB Output is correct
50 Correct 2 ms 2644 KB Output is correct
51 Correct 2 ms 2644 KB Output is correct
52 Correct 3 ms 2900 KB Output is correct
53 Correct 4 ms 2900 KB Output is correct
54 Correct 4 ms 2900 KB Output is correct
55 Correct 3 ms 3028 KB Output is correct
56 Correct 4 ms 3468 KB Output is correct
57 Correct 3 ms 2900 KB Output is correct
58 Correct 3 ms 2900 KB Output is correct
59 Correct 3 ms 3156 KB Output is correct
60 Correct 3 ms 2900 KB Output is correct
61 Correct 3 ms 2900 KB Output is correct
62 Correct 4 ms 3028 KB Output is correct
63 Correct 3 ms 2900 KB Output is correct
64 Correct 3 ms 2900 KB Output is correct
65 Correct 3 ms 2952 KB Output is correct
66 Correct 4 ms 2952 KB Output is correct
67 Correct 3 ms 3028 KB Output is correct
68 Correct 4 ms 3412 KB Output is correct
69 Correct 3 ms 2900 KB Output is correct
70 Correct 3 ms 2900 KB Output is correct
71 Correct 3 ms 2900 KB Output is correct
72 Correct 4 ms 2920 KB Output is correct
73 Correct 3 ms 2952 KB Output is correct
74 Correct 4 ms 2948 KB Output is correct
75 Correct 4 ms 3216 KB Output is correct
76 Correct 3 ms 3028 KB Output is correct
77 Correct 4 ms 3464 KB Output is correct
78 Correct 3 ms 3012 KB Output is correct
79 Correct 4 ms 3336 KB Output is correct
80 Correct 4 ms 2952 KB Output is correct
81 Correct 3 ms 3028 KB Output is correct
82 Correct 3 ms 2956 KB Output is correct
83 Correct 3 ms 3008 KB Output is correct

Subtask #4
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2684 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 1 ms 2644 KB Output is correct
5 Correct 2 ms 2684 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 1 ms 2684 KB Output is correct
15 Correct 2 ms 2644 KB Output is correct
16 Correct 1 ms 2680 KB Output is correct
17 Correct 1 ms 2644 KB Output is correct
18 Correct 2 ms 2644 KB Output is correct
19 Correct 1 ms 2684 KB Output is correct
20 Correct 2 ms 2644 KB Output is correct
21 Correct 1 ms 2688 KB Output is correct
22 Correct 1 ms 2644 KB Output is correct
23 Correct 1 ms 2644 KB Output is correct
24 Correct 2 ms 2644 KB Output is correct
25 Correct 1 ms 2688 KB Output is correct
26 Correct 1 ms 2644 KB Output is correct
27 Correct 1 ms 2644 KB Output is correct
28 Correct 1 ms 2644 KB Output is correct
29 Correct 2 ms 2684 KB Output is correct
30 Correct 2 ms 2684 KB Output is correct
31 Correct 2 ms 2644 KB Output is correct
32 Correct 1 ms 2644 KB Output is correct
33 Correct 1 ms 2644 KB Output is correct
34 Correct 2 ms 2644 KB Output is correct
35 Correct 1 ms 2644 KB Output is correct
36 Correct 2 ms 2644 KB Output is correct
37 Correct 1 ms 2644 KB Output is correct
38 Correct 1 ms 2644 KB Output is correct
39 Correct 1 ms 2644 KB Output is correct
40 Correct 2 ms 2680 KB Output is correct
41 Correct 2 ms 2644 KB Output is correct
42 Correct 2 ms 2644 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 2 ms 2644 KB Output is correct
45 Correct 1 ms 2644 KB Output is correct
46 Correct 1 ms 2644 KB Output is correct
47 Correct 2 ms 2644 KB Output is correct
48 Correct 2 ms 2644 KB Output is correct
49 Correct 2 ms 2644 KB Output is correct
50 Correct 2 ms 2644 KB Output is correct
51 Correct 2 ms 2644 KB Output is correct
52 Correct 2 ms 2688 KB Output is correct
53 Correct 5 ms 3156 KB Output is correct
54 Correct 44 ms 8360 KB Output is correct
55 Correct 42 ms 8272 KB Output is correct
56 Correct 45 ms 8328 KB Output is correct
57 Correct 43 ms 8268 KB Output is correct
58 Correct 57 ms 18384 KB Output is correct
59 Correct 60 ms 14664 KB Output is correct
60 Correct 54 ms 14584 KB Output is correct
61 Correct 35 ms 8916 KB Output is correct
62 Correct 34 ms 8424 KB Output is correct
63 Correct 54 ms 8180 KB Output is correct
64 Correct 44 ms 8224 KB Output is correct
65 Correct 42 ms 12672 KB Output is correct
66 Correct 60 ms 19888 KB Output is correct
67 Correct 61 ms 21324 KB Output is correct
68 Correct 43 ms 8276 KB Output is correct
69 Correct 42 ms 8252 KB Output is correct
70 Correct 46 ms 8324 KB Output is correct
71 Correct 32 ms 8516 KB Output is correct
72 Correct 32 ms 8684 KB Output is correct
73 Correct 33 ms 8644 KB Output is correct
74 Correct 3 ms 2900 KB Output is correct
75 Correct 4 ms 2900 KB Output is correct
76 Correct 4 ms 2900 KB Output is correct
77 Correct 3 ms 3028 KB Output is correct
78 Correct 4 ms 3468 KB Output is correct
79 Correct 3 ms 2900 KB Output is correct
80 Correct 3 ms 2900 KB Output is correct
81 Correct 3 ms 3156 KB Output is correct
82 Correct 3 ms 2900 KB Output is correct
83 Correct 3 ms 2900 KB Output is correct
84 Correct 4 ms 3028 KB Output is correct
85 Correct 3 ms 2900 KB Output is correct
86 Correct 3 ms 2900 KB Output is correct
87 Correct 3 ms 2952 KB Output is correct
88 Correct 4 ms 2952 KB Output is correct
89 Correct 3 ms 3028 KB Output is correct
90 Correct 4 ms 3412 KB Output is correct
91 Correct 3 ms 2900 KB Output is correct
92 Correct 3 ms 2900 KB Output is correct
93 Correct 3 ms 2900 KB Output is correct
94 Correct 4 ms 2920 KB Output is correct
95 Correct 3 ms 2952 KB Output is correct
96 Correct 4 ms 2948 KB Output is correct
97 Correct 4 ms 3216 KB Output is correct
98 Correct 3 ms 3028 KB Output is correct
99 Correct 4 ms 3464 KB Output is correct
100 Correct 3 ms 3012 KB Output is correct
101 Correct 4 ms 3336 KB Output is correct
102 Correct 4 ms 2952 KB Output is correct
103 Correct 3 ms 3028 KB Output is correct
104 Correct 3 ms 2956 KB Output is correct
105 Correct 3 ms 3008 KB Output is correct
106 Correct 49 ms 8708 KB Output is correct
107 Correct 50 ms 8764 KB Output is correct
108 Correct 50 ms 8908 KB Output is correct
109 Correct 54 ms 8824 KB Output is correct
110 Correct 36 ms 8880 KB Output is correct
111 Correct 43 ms 10312 KB Output is correct
112 Correct 68 ms 16716 KB Output is correct
113 Correct 55 ms 8780 KB Output is correct
114 Correct 55 ms 8660 KB Output is correct
115 Correct 34 ms 8604 KB Output is correct
116 Correct 62 ms 17900 KB Output is correct
117 Correct 68 ms 16504 KB Output is correct
118 Correct 33 ms 10052 KB Output is correct
119 Correct 55 ms 8716 KB Output is correct
120 Correct 56 ms 8740 KB Output is correct
121 Correct 54 ms 8780 KB Output is correct
122 Correct 55 ms 8936 KB Output is correct
123 Correct 34 ms 8772 KB Output is correct
124 Correct 33 ms 8740 KB Output is correct
125 Correct 33 ms 8564 KB Output is correct
126 Correct 45 ms 8724 KB Output is correct
127 Correct 48 ms 8768 KB Output is correct
128 Correct 45 ms 8872 KB Output is correct
129 Correct 53 ms 8908 KB Output is correct
130 Correct 34 ms 8872 KB Output is correct
131 Correct 41 ms 10316 KB Output is correct
132 Correct 74 ms 16640 KB Output is correct
133 Correct 55 ms 8780 KB Output is correct
134 Correct 56 ms 8692 KB Output is correct
135 Correct 31 ms 8524 KB Output is correct
136 Correct 69 ms 15772 KB Output is correct
137 Correct 73 ms 16080 KB Output is correct
138 Correct 35 ms 9944 KB Output is correct
139 Correct 59 ms 8720 KB Output is correct
140 Correct 59 ms 8776 KB Output is correct
141 Correct 59 ms 8908 KB Output is correct
142 Correct 63 ms 8856 KB Output is correct
143 Correct 33 ms 8764 KB Output is correct
144 Correct 35 ms 8764 KB Output is correct
145 Correct 31 ms 8576 KB Output is correct
146 Correct 55 ms 8736 KB Output is correct
147 Correct 55 ms 8752 KB Output is correct
148 Correct 54 ms 9248 KB Output is correct
149 Correct 54 ms 10348 KB Output is correct
150 Correct 72 ms 19784 KB Output is correct
151 Correct 63 ms 8852 KB Output is correct
152 Correct 68 ms 9148 KB Output is correct
153 Correct 67 ms 9252 KB Output is correct
154 Correct 52 ms 10304 KB Output is correct
155 Correct 36 ms 9096 KB Output is correct
156 Correct 65 ms 17024 KB Output is correct
157 Correct 64 ms 15876 KB Output is correct
158 Correct 63 ms 14636 KB Output is correct
159 Correct 50 ms 8580 KB Output is correct
160 Correct 71 ms 17952 KB Output is correct
161 Correct 63 ms 8620 KB Output is correct
162 Correct 41 ms 8908 KB Output is correct