Submission #469105

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
469105	2021-08-30T18:11:22 Z	sinamhdv	Subtree (INOI20_subtree)	C++11	100 / 100	184 ms	27684 KB

Main

// INOI20_subtree
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int mod = 1000 * 1000 * 1000 + 7;
const int INF = 1e9 + 100;
const ll LINF = 1e18 + 100;

#ifdef DEBUG
#define dbg(x) cout << #x << " = " << (x) << endl << flush;
#define dbgr(s, f) { cout << #s << ": "; for (auto _ = (s); _ != (f); _++) cout << *_ << ' '; cout << endl << flush; }
#else
#define dbg(x) ;
#define dbgr(s, f) ;
#endif
#define fast_io ios::sync_with_stdio(0); cin.tie(0);
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define fr first
#define sc second
#define endl '\n'

const int MAXN = 100100;
const int MAXE = 150100;

int n, m;
vector<int> adj[MAXN];
int ef[MAXE], eto[MAXE];
int hei[MAXN];
bool iscut[MAXE];
bool mark[MAXN];
vector<int> comp[MAXN];
int cn, cnum[MAXN];
vector<int> tree[MAXN];
int head[MAXN], vpar[MAXN];
int dp[MAXN][2];
int wei[MAXN];

inline void addedge(int x, int y)
{
	tree[x].pb(y);
	tree[y].pb(x);
}

inline int dfs1(int v, int epar)
{
	mark[v] = true;
	int dp = hei[v];
	for (int e : adj[v]) if (e != epar)
	{
		int u = eto[e] ^ ef[e] ^ v;
		if (mark[u]) dp = min(dp, hei[u]);
		else hei[u] = hei[v] + 1, dp = min(dp, dfs1(u, e));
	}
	if (dp >= hei[v] && epar >= 0) iscut[epar] = true;
	return dp;
}

void dfs2(int v)
{
	cnum[v] = cn;
	comp[cn].pb(v);
	for (int e : adj[v]) if (!iscut[e])
	{
		int u = ef[e] ^ eto[e] ^ v;
		if (!cnum[u]) dfs2(u);
	}
}

void dfs3(int v)
{
	mark[v] = true;
	for (int e : adj[v])
	{
		int u = ef[e] ^ eto[e] ^ v;
		if (mark[u]) continue;
		if (iscut[e])
		{
			head[cnum[u]] = u;
			vpar[cnum[u]] = v;
		}
		dfs3(u);
	}
}

void dfs4(int v, int par)
{
	for (int u : tree[v]) if (u != par)
	{
		dfs4(u, v);
		wei[vpar[u]] = (wei[vpar[u]] * ((ll)dp[u][1] + 1)) % mod;
	}

	// calc dp
	if ((int)comp[v].size() == 1)	// single vertex
	{
		dp[v][0] = dp[v][1] = wei[comp[v][0]];
		return;
	}
	
	// cycle
	int k = (int)comp[v].size();
	vector<int> ps(k + 5);
	
	ps[0] = 0;
	int cur = 1;
	FOR(i, 1, k + 1)
	{
		cur = (ll)cur * wei[comp[v][i - 1]] % mod;
		ps[i] = (ps[i - 1] + cur) % mod;
	}

	cur = 1;
	for (int i = k - 1; i >= 1; i--)
	{
		dp[v][1] = (dp[v][1] + (ll)ps[i] * cur) % mod;
		cur = (ll)cur * wei[comp[v][i]] % mod;
	}

	dp[v][0] = dp[v][1];
	cur = 0;
	FOR(i, 1, k)
	{
		cur = wei[comp[v][i]] * ((ll)cur + 1) % mod;
		dp[v][0] = (dp[v][0] + cur) % mod;
	}
}

int32_t main(void)
{
	fast_io;
	cin >> n >> m;
	FOR(i, 0, m)
	{
		cin >> ef[i] >> eto[i];
		adj[ef[i]].pb(i);
		adj[eto[i]].pb(i);
	}

	dfs1(1, -1);
	
	FOR(i, 1, n + 1) if (!cnum[i]) cn++, dfs2(i);

	memset(mark, 0, sizeof(mark));
	dfs3(1);
	head[cnum[1]] = 1;

	FOR(i, 0, m) if (iscut[i]) addedge(cnum[ef[i]], cnum[eto[i]]);

	FOR(i, 1, cn + 1)
	{
		rotate(comp[i].begin(), find(all(comp[i]), head[i]), comp[i].end());
	}

	fill(wei + 1, wei + n + 1, 1);
	dfs4(cnum[1], -1);

	ll ans = 0;
	FOR(i, 1, cn + 1) ans = (ans + dp[i][0]) % mod;
	ans = (mod + ans % mod) % mod;
	cout << ans << endl;

	return 0;
}

Subtask #1
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	7500 KB	Output is correct
2	Correct	4 ms	7500 KB	Output is correct
3	Correct	4 ms	7500 KB	Output is correct
4	Correct	4 ms	7500 KB	Output is correct
5	Correct	4 ms	7500 KB	Output is correct
6	Correct	4 ms	7500 KB	Output is correct
7	Correct	5 ms	7500 KB	Output is correct
8	Correct	4 ms	7372 KB	Output is correct
9	Correct	4 ms	7500 KB	Output is correct
10	Correct	5 ms	7500 KB	Output is correct
11	Correct	6 ms	7500 KB	Output is correct
12	Correct	4 ms	7512 KB	Output is correct
13	Correct	4 ms	7500 KB	Output is correct
14	Correct	4 ms	7500 KB	Output is correct
15	Correct	5 ms	7408 KB	Output is correct
16	Correct	4 ms	7500 KB	Output is correct
17	Correct	4 ms	7500 KB	Output is correct
18	Correct	5 ms	7500 KB	Output is correct
19	Correct	5 ms	7500 KB	Output is correct
20	Correct	4 ms	7500 KB	Output is correct
21	Correct	4 ms	7500 KB	Output is correct
22	Correct	4 ms	7500 KB	Output is correct
23	Correct	4 ms	7500 KB	Output is correct
24	Correct	4 ms	7500 KB	Output is correct
25	Correct	4 ms	7500 KB	Output is correct
26	Correct	5 ms	7500 KB	Output is correct
27	Correct	4 ms	7500 KB	Output is correct
28	Correct	4 ms	7500 KB	Output is correct
29	Correct	5 ms	7440 KB	Output is correct
30	Correct	6 ms	7500 KB	Output is correct
31	Correct	5 ms	7500 KB	Output is correct
32	Correct	5 ms	7500 KB	Output is correct
33	Correct	4 ms	7500 KB	Output is correct
34	Correct	4 ms	7500 KB	Output is correct
35	Correct	4 ms	7500 KB	Output is correct
36	Correct	4 ms	7500 KB	Output is correct
37	Correct	4 ms	7500 KB	Output is correct
38	Correct	4 ms	7500 KB	Output is correct
39	Correct	4 ms	7500 KB	Output is correct
40	Correct	4 ms	7372 KB	Output is correct
41	Correct	6 ms	7500 KB	Output is correct
42	Correct	4 ms	7432 KB	Output is correct
43	Correct	4 ms	7500 KB	Output is correct
44	Correct	5 ms	7500 KB	Output is correct
45	Correct	4 ms	7500 KB	Output is correct
46	Correct	4 ms	7500 KB	Output is correct
47	Correct	4 ms	7500 KB	Output is correct
48	Correct	4 ms	7500 KB	Output is correct
49	Correct	4 ms	7372 KB	Output is correct
50	Correct	4 ms	7500 KB	Output is correct
51	Correct	5 ms	7500 KB	Output is correct

Subtask #2
12.0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	7500 KB	Output is correct
2	Correct	11 ms	8728 KB	Output is correct
3	Correct	113 ms	20676 KB	Output is correct
4	Correct	119 ms	20736 KB	Output is correct
5	Correct	121 ms	20584 KB	Output is correct
6	Correct	149 ms	20672 KB	Output is correct
7	Correct	158 ms	26064 KB	Output is correct
8	Correct	131 ms	23968 KB	Output is correct
9	Correct	129 ms	24044 KB	Output is correct
10	Correct	96 ms	21608 KB	Output is correct
11	Correct	98 ms	21048 KB	Output is correct
12	Correct	134 ms	20548 KB	Output is correct
13	Correct	133 ms	20456 KB	Output is correct
14	Correct	109 ms	23484 KB	Output is correct
15	Correct	155 ms	27144 KB	Output is correct
16	Correct	132 ms	27684 KB	Output is correct
17	Correct	121 ms	20420 KB	Output is correct
18	Correct	184 ms	20540 KB	Output is correct
19	Correct	142 ms	20644 KB	Output is correct
20	Correct	94 ms	21304 KB	Output is correct
21	Correct	91 ms	21364 KB	Output is correct
22	Correct	92 ms	21224 KB	Output is correct

Subtask #3
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	7500 KB	Output is correct
2	Correct	4 ms	7500 KB	Output is correct
3	Correct	4 ms	7500 KB	Output is correct
4	Correct	4 ms	7500 KB	Output is correct
5	Correct	4 ms	7500 KB	Output is correct
6	Correct	4 ms	7500 KB	Output is correct
7	Correct	5 ms	7500 KB	Output is correct
8	Correct	4 ms	7372 KB	Output is correct
9	Correct	4 ms	7500 KB	Output is correct
10	Correct	5 ms	7500 KB	Output is correct
11	Correct	6 ms	7500 KB	Output is correct
12	Correct	4 ms	7512 KB	Output is correct
13	Correct	4 ms	7500 KB	Output is correct
14	Correct	4 ms	7500 KB	Output is correct
15	Correct	5 ms	7408 KB	Output is correct
16	Correct	4 ms	7500 KB	Output is correct
17	Correct	4 ms	7500 KB	Output is correct
18	Correct	5 ms	7500 KB	Output is correct
19	Correct	5 ms	7500 KB	Output is correct
20	Correct	4 ms	7500 KB	Output is correct
21	Correct	4 ms	7500 KB	Output is correct
22	Correct	4 ms	7500 KB	Output is correct
23	Correct	4 ms	7500 KB	Output is correct
24	Correct	4 ms	7500 KB	Output is correct
25	Correct	4 ms	7500 KB	Output is correct
26	Correct	5 ms	7500 KB	Output is correct
27	Correct	4 ms	7500 KB	Output is correct
28	Correct	4 ms	7500 KB	Output is correct
29	Correct	5 ms	7440 KB	Output is correct
30	Correct	6 ms	7500 KB	Output is correct
31	Correct	5 ms	7500 KB	Output is correct
32	Correct	5 ms	7500 KB	Output is correct
33	Correct	4 ms	7500 KB	Output is correct
34	Correct	4 ms	7500 KB	Output is correct
35	Correct	4 ms	7500 KB	Output is correct
36	Correct	4 ms	7500 KB	Output is correct
37	Correct	4 ms	7500 KB	Output is correct
38	Correct	4 ms	7500 KB	Output is correct
39	Correct	4 ms	7500 KB	Output is correct
40	Correct	4 ms	7372 KB	Output is correct
41	Correct	6 ms	7500 KB	Output is correct
42	Correct	4 ms	7432 KB	Output is correct
43	Correct	4 ms	7500 KB	Output is correct
44	Correct	5 ms	7500 KB	Output is correct
45	Correct	4 ms	7500 KB	Output is correct
46	Correct	4 ms	7500 KB	Output is correct
47	Correct	4 ms	7500 KB	Output is correct
48	Correct	4 ms	7500 KB	Output is correct
49	Correct	4 ms	7372 KB	Output is correct
50	Correct	4 ms	7500 KB	Output is correct
51	Correct	5 ms	7500 KB	Output is correct
52	Correct	8 ms	8012 KB	Output is correct
53	Correct	8 ms	8012 KB	Output is correct
54	Correct	8 ms	8012 KB	Output is correct
55	Correct	8 ms	8140 KB	Output is correct
56	Correct	8 ms	8140 KB	Output is correct
57	Correct	8 ms	8140 KB	Output is correct
58	Correct	7 ms	8140 KB	Output is correct
59	Correct	8 ms	8140 KB	Output is correct
60	Correct	8 ms	8140 KB	Output is correct
61	Correct	8 ms	8012 KB	Output is correct
62	Correct	8 ms	7844 KB	Output is correct
63	Correct	7 ms	8140 KB	Output is correct
64	Correct	7 ms	8140 KB	Output is correct
65	Correct	8 ms	8132 KB	Output is correct
66	Correct	8 ms	8012 KB	Output is correct
67	Correct	7 ms	8140 KB	Output is correct
68	Correct	8 ms	8012 KB	Output is correct
69	Correct	8 ms	8012 KB	Output is correct
70	Correct	8 ms	8164 KB	Output is correct
71	Correct	8 ms	7884 KB	Output is correct
72	Correct	8 ms	7948 KB	Output is correct
73	Correct	7 ms	8140 KB	Output is correct
74	Correct	7 ms	7756 KB	Output is correct
75	Correct	7 ms	7892 KB	Output is correct
76	Correct	10 ms	7956 KB	Output is correct
77	Correct	8 ms	8124 KB	Output is correct
78	Correct	8 ms	7844 KB	Output is correct
79	Correct	7 ms	7912 KB	Output is correct
80	Correct	7 ms	7884 KB	Output is correct
81	Correct	7 ms	8012 KB	Output is correct
82	Correct	7 ms	8044 KB	Output is correct
83	Correct	8 ms	8084 KB	Output is correct

Subtask #4
50.0 / 50.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	7500 KB	Output is correct
2	Correct	4 ms	7500 KB	Output is correct
3	Correct	4 ms	7500 KB	Output is correct
4	Correct	4 ms	7500 KB	Output is correct
5	Correct	4 ms	7500 KB	Output is correct
6	Correct	4 ms	7500 KB	Output is correct
7	Correct	5 ms	7500 KB	Output is correct
8	Correct	4 ms	7372 KB	Output is correct
9	Correct	4 ms	7500 KB	Output is correct
10	Correct	5 ms	7500 KB	Output is correct
11	Correct	6 ms	7500 KB	Output is correct
12	Correct	4 ms	7512 KB	Output is correct
13	Correct	4 ms	7500 KB	Output is correct
14	Correct	4 ms	7500 KB	Output is correct
15	Correct	5 ms	7408 KB	Output is correct
16	Correct	4 ms	7500 KB	Output is correct
17	Correct	4 ms	7500 KB	Output is correct
18	Correct	5 ms	7500 KB	Output is correct
19	Correct	5 ms	7500 KB	Output is correct
20	Correct	4 ms	7500 KB	Output is correct
21	Correct	4 ms	7500 KB	Output is correct
22	Correct	4 ms	7500 KB	Output is correct
23	Correct	4 ms	7500 KB	Output is correct
24	Correct	4 ms	7500 KB	Output is correct
25	Correct	4 ms	7500 KB	Output is correct
26	Correct	5 ms	7500 KB	Output is correct
27	Correct	4 ms	7500 KB	Output is correct
28	Correct	4 ms	7500 KB	Output is correct
29	Correct	5 ms	7440 KB	Output is correct
30	Correct	6 ms	7500 KB	Output is correct
31	Correct	5 ms	7500 KB	Output is correct
32	Correct	5 ms	7500 KB	Output is correct
33	Correct	4 ms	7500 KB	Output is correct
34	Correct	4 ms	7500 KB	Output is correct
35	Correct	4 ms	7500 KB	Output is correct
36	Correct	4 ms	7500 KB	Output is correct
37	Correct	4 ms	7500 KB	Output is correct
38	Correct	4 ms	7500 KB	Output is correct
39	Correct	4 ms	7500 KB	Output is correct
40	Correct	4 ms	7372 KB	Output is correct
41	Correct	6 ms	7500 KB	Output is correct
42	Correct	4 ms	7432 KB	Output is correct
43	Correct	4 ms	7500 KB	Output is correct
44	Correct	5 ms	7500 KB	Output is correct
45	Correct	4 ms	7500 KB	Output is correct
46	Correct	4 ms	7500 KB	Output is correct
47	Correct	4 ms	7500 KB	Output is correct
48	Correct	4 ms	7500 KB	Output is correct
49	Correct	4 ms	7372 KB	Output is correct
50	Correct	4 ms	7500 KB	Output is correct
51	Correct	5 ms	7500 KB	Output is correct
52	Correct	4 ms	7500 KB	Output is correct
53	Correct	11 ms	8728 KB	Output is correct
54	Correct	113 ms	20676 KB	Output is correct
55	Correct	119 ms	20736 KB	Output is correct
56	Correct	121 ms	20584 KB	Output is correct
57	Correct	149 ms	20672 KB	Output is correct
58	Correct	158 ms	26064 KB	Output is correct
59	Correct	131 ms	23968 KB	Output is correct
60	Correct	129 ms	24044 KB	Output is correct
61	Correct	96 ms	21608 KB	Output is correct
62	Correct	98 ms	21048 KB	Output is correct
63	Correct	134 ms	20548 KB	Output is correct
64	Correct	133 ms	20456 KB	Output is correct
65	Correct	109 ms	23484 KB	Output is correct
66	Correct	155 ms	27144 KB	Output is correct
67	Correct	132 ms	27684 KB	Output is correct
68	Correct	121 ms	20420 KB	Output is correct
69	Correct	184 ms	20540 KB	Output is correct
70	Correct	142 ms	20644 KB	Output is correct
71	Correct	94 ms	21304 KB	Output is correct
72	Correct	91 ms	21364 KB	Output is correct
73	Correct	92 ms	21224 KB	Output is correct
74	Correct	8 ms	8012 KB	Output is correct
75	Correct	8 ms	8012 KB	Output is correct
76	Correct	8 ms	8012 KB	Output is correct
77	Correct	8 ms	8140 KB	Output is correct
78	Correct	8 ms	8140 KB	Output is correct
79	Correct	8 ms	8140 KB	Output is correct
80	Correct	7 ms	8140 KB	Output is correct
81	Correct	8 ms	8140 KB	Output is correct
82	Correct	8 ms	8140 KB	Output is correct
83	Correct	8 ms	8012 KB	Output is correct
84	Correct	8 ms	7844 KB	Output is correct
85	Correct	7 ms	8140 KB	Output is correct
86	Correct	7 ms	8140 KB	Output is correct
87	Correct	8 ms	8132 KB	Output is correct
88	Correct	8 ms	8012 KB	Output is correct
89	Correct	7 ms	8140 KB	Output is correct
90	Correct	8 ms	8012 KB	Output is correct
91	Correct	8 ms	8012 KB	Output is correct
92	Correct	8 ms	8164 KB	Output is correct
93	Correct	8 ms	7884 KB	Output is correct
94	Correct	8 ms	7948 KB	Output is correct
95	Correct	7 ms	8140 KB	Output is correct
96	Correct	7 ms	7756 KB	Output is correct
97	Correct	7 ms	7892 KB	Output is correct
98	Correct	10 ms	7956 KB	Output is correct
99	Correct	8 ms	8124 KB	Output is correct
100	Correct	8 ms	7844 KB	Output is correct
101	Correct	7 ms	7912 KB	Output is correct
102	Correct	7 ms	7884 KB	Output is correct
103	Correct	7 ms	8012 KB	Output is correct
104	Correct	7 ms	8044 KB	Output is correct
105	Correct	8 ms	8084 KB	Output is correct
106	Correct	134 ms	19972 KB	Output is correct
107	Correct	138 ms	19496 KB	Output is correct
108	Correct	121 ms	19148 KB	Output is correct
109	Correct	128 ms	18948 KB	Output is correct
110	Correct	95 ms	21320 KB	Output is correct
111	Correct	116 ms	21292 KB	Output is correct
112	Correct	131 ms	19988 KB	Output is correct
113	Correct	116 ms	16792 KB	Output is correct
114	Correct	127 ms	18276 KB	Output is correct
115	Correct	84 ms	21176 KB	Output is correct
116	Correct	115 ms	20904 KB	Output is correct
117	Correct	135 ms	20360 KB	Output is correct
118	Correct	95 ms	21148 KB	Output is correct
119	Correct	103 ms	16836 KB	Output is correct
120	Correct	127 ms	16424 KB	Output is correct
121	Correct	117 ms	16228 KB	Output is correct
122	Correct	118 ms	16044 KB	Output is correct
123	Correct	103 ms	21428 KB	Output is correct
124	Correct	98 ms	21384 KB	Output is correct
125	Correct	103 ms	21276 KB	Output is correct
126	Correct	117 ms	20036 KB	Output is correct
127	Correct	124 ms	19436 KB	Output is correct
128	Correct	128 ms	19148 KB	Output is correct
129	Correct	129 ms	18876 KB	Output is correct
130	Correct	101 ms	21372 KB	Output is correct
131	Correct	116 ms	21444 KB	Output is correct
132	Correct	120 ms	19856 KB	Output is correct
133	Correct	109 ms	16692 KB	Output is correct
134	Correct	156 ms	18244 KB	Output is correct
135	Correct	92 ms	21104 KB	Output is correct
136	Correct	126 ms	19804 KB	Output is correct
137	Correct	132 ms	20124 KB	Output is correct
138	Correct	95 ms	21236 KB	Output is correct
139	Correct	113 ms	16940 KB	Output is correct
140	Correct	115 ms	16452 KB	Output is correct
141	Correct	126 ms	16280 KB	Output is correct
142	Correct	111 ms	16044 KB	Output is correct
143	Correct	102 ms	21444 KB	Output is correct
144	Correct	100 ms	21504 KB	Output is correct
145	Correct	115 ms	21284 KB	Output is correct
146	Correct	109 ms	14156 KB	Output is correct
147	Correct	110 ms	13368 KB	Output is correct
148	Correct	109 ms	13404 KB	Output is correct
149	Correct	114 ms	14336 KB	Output is correct
150	Correct	119 ms	21124 KB	Output is correct
151	Correct	104 ms	14188 KB	Output is correct
152	Correct	113 ms	15292 KB	Output is correct
153	Correct	130 ms	15352 KB	Output is correct
154	Correct	95 ms	16832 KB	Output is correct
155	Correct	104 ms	21088 KB	Output is correct
156	Correct	124 ms	16944 KB	Output is correct
157	Correct	92 ms	16436 KB	Output is correct
158	Correct	94 ms	16152 KB	Output is correct
159	Correct	130 ms	20224 KB	Output is correct
160	Correct	134 ms	24636 KB	Output is correct
161	Correct	169 ms	19696 KB	Output is correct
162	Correct	97 ms	20736 KB	Output is correct

Submission #469105

Compilation message

Subtask #1 8.0 / 8.0

Subtask #2 12.0 / 12.0

Subtask #3 30.0 / 30.0

Subtask #4 50.0 / 50.0

Subtask #1
8.0 / 8.0

Subtask #2
12.0 / 12.0

Subtask #3
30.0 / 30.0

Subtask #4
50.0 / 50.0