Submission #469104

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
469104	2021-08-30T18:09:28 Z	sinamhdv	Subtree (INOI20_subtree)	C++11	100 / 100	181 ms	27740 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;
	}

	dbgr(ps.begin(), ps.end());

	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);
	
	dbgr(iscut, iscut + m);

	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());
	}

	dbg(cn);
	FOR(i, 1, cn + 1)
	{
		dbg(i);
		dbg(head[i]);
		dbg(vpar[i]);
		dbgr(comp[i].begin(), comp[i].end());
	}

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

#ifdef DEBUG
	dbgr(wei + 1, wei + n + 1);
	FOR(i, 1, cn + 1) cout << "(" << dp[i][0] << ", " << dp[i][1] << ") ";
	cout << endl;
#endif

	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	5 ms	7500 KB	Output is correct
2	Correct	4 ms	7372 KB	Output is correct
3	Correct	4 ms	7500 KB	Output is correct
4	Correct	4 ms	7500 KB	Output is correct
5	Correct	5 ms	7400 KB	Output is correct
6	Correct	4 ms	7500 KB	Output is correct
7	Correct	4 ms	7488 KB	Output is correct
8	Correct	4 ms	7500 KB	Output is correct
9	Correct	4 ms	7372 KB	Output is correct
10	Correct	4 ms	7500 KB	Output is correct
11	Correct	4 ms	7488 KB	Output is correct
12	Correct	4 ms	7500 KB	Output is correct
13	Correct	4 ms	7500 KB	Output is correct
14	Correct	5 ms	7500 KB	Output is correct
15	Correct	4 ms	7440 KB	Output is correct
16	Correct	4 ms	7500 KB	Output is correct
17	Correct	4 ms	7500 KB	Output is correct
18	Correct	4 ms	7500 KB	Output is correct
19	Correct	4 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	7416 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	7500 KB	Output is correct
30	Correct	4 ms	7500 KB	Output is correct
31	Correct	4 ms	7500 KB	Output is correct
32	Correct	4 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	7372 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	7500 KB	Output is correct
41	Correct	4 ms	7500 KB	Output is correct
42	Correct	4 ms	7500 KB	Output is correct
43	Correct	4 ms	7500 KB	Output is correct
44	Correct	4 ms	7500 KB	Output is correct
45	Correct	4 ms	7500 KB	Output is correct
46	Correct	5 ms	7500 KB	Output is correct
47	Correct	4 ms	7500 KB	Output is correct
48	Correct	4 ms	7372 KB	Output is correct
49	Correct	4 ms	7500 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	12 ms	8764 KB	Output is correct
3	Correct	126 ms	20644 KB	Output is correct
4	Correct	144 ms	20692 KB	Output is correct
5	Correct	150 ms	20676 KB	Output is correct
6	Correct	121 ms	20652 KB	Output is correct
7	Correct	148 ms	26016 KB	Output is correct
8	Correct	136 ms	24044 KB	Output is correct
9	Correct	129 ms	24156 KB	Output is correct
10	Correct	97 ms	21600 KB	Output is correct
11	Correct	109 ms	21212 KB	Output is correct
12	Correct	154 ms	20460 KB	Output is correct
13	Correct	143 ms	20468 KB	Output is correct
14	Correct	96 ms	23484 KB	Output is correct
15	Correct	139 ms	26980 KB	Output is correct
16	Correct	160 ms	27740 KB	Output is correct
17	Correct	140 ms	20436 KB	Output is correct
18	Correct	131 ms	20524 KB	Output is correct
19	Correct	181 ms	20612 KB	Output is correct
20	Correct	95 ms	21308 KB	Output is correct
21	Correct	95 ms	21420 KB	Output is correct
22	Correct	98 ms	21252 KB	Output is correct

Subtask #3
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	7500 KB	Output is correct
2	Correct	4 ms	7372 KB	Output is correct
3	Correct	4 ms	7500 KB	Output is correct
4	Correct	4 ms	7500 KB	Output is correct
5	Correct	5 ms	7400 KB	Output is correct
6	Correct	4 ms	7500 KB	Output is correct
7	Correct	4 ms	7488 KB	Output is correct
8	Correct	4 ms	7500 KB	Output is correct
9	Correct	4 ms	7372 KB	Output is correct
10	Correct	4 ms	7500 KB	Output is correct
11	Correct	4 ms	7488 KB	Output is correct
12	Correct	4 ms	7500 KB	Output is correct
13	Correct	4 ms	7500 KB	Output is correct
14	Correct	5 ms	7500 KB	Output is correct
15	Correct	4 ms	7440 KB	Output is correct
16	Correct	4 ms	7500 KB	Output is correct
17	Correct	4 ms	7500 KB	Output is correct
18	Correct	4 ms	7500 KB	Output is correct
19	Correct	4 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	7416 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	7500 KB	Output is correct
30	Correct	4 ms	7500 KB	Output is correct
31	Correct	4 ms	7500 KB	Output is correct
32	Correct	4 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	7372 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	7500 KB	Output is correct
41	Correct	4 ms	7500 KB	Output is correct
42	Correct	4 ms	7500 KB	Output is correct
43	Correct	4 ms	7500 KB	Output is correct
44	Correct	4 ms	7500 KB	Output is correct
45	Correct	4 ms	7500 KB	Output is correct
46	Correct	5 ms	7500 KB	Output is correct
47	Correct	4 ms	7500 KB	Output is correct
48	Correct	4 ms	7372 KB	Output is correct
49	Correct	4 ms	7500 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	8140 KB	Output is correct
54	Correct	8 ms	8012 KB	Output is correct
55	Correct	8 ms	8152 KB	Output is correct
56	Correct	9 ms	8168 KB	Output is correct
57	Correct	8 ms	8140 KB	Output is correct
58	Correct	7 ms	8160 KB	Output is correct
59	Correct	7 ms	8140 KB	Output is correct
60	Correct	7 ms	8168 KB	Output is correct
61	Correct	7 ms	8012 KB	Output is correct
62	Correct	8 ms	7908 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	8140 KB	Output is correct
66	Correct	8 ms	8036 KB	Output is correct
67	Correct	8 ms	8140 KB	Output is correct
68	Correct	8 ms	8140 KB	Output is correct
69	Correct	9 ms	8012 KB	Output is correct
70	Correct	7 ms	8164 KB	Output is correct
71	Correct	8 ms	8012 KB	Output is correct
72	Correct	8 ms	7884 KB	Output is correct
73	Correct	7 ms	8160 KB	Output is correct
74	Correct	8 ms	7908 KB	Output is correct
75	Correct	8 ms	7912 KB	Output is correct
76	Correct	8 ms	8012 KB	Output is correct
77	Correct	9 ms	8200 KB	Output is correct
78	Correct	8 ms	7908 KB	Output is correct
79	Correct	7 ms	8012 KB	Output is correct
80	Correct	7 ms	7888 KB	Output is correct
81	Correct	7 ms	8012 KB	Output is correct
82	Correct	10 ms	8012 KB	Output is correct
83	Correct	9 ms	8012 KB	Output is correct

Subtask #4
50.0 / 50.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	7500 KB	Output is correct
2	Correct	4 ms	7372 KB	Output is correct
3	Correct	4 ms	7500 KB	Output is correct
4	Correct	4 ms	7500 KB	Output is correct
5	Correct	5 ms	7400 KB	Output is correct
6	Correct	4 ms	7500 KB	Output is correct
7	Correct	4 ms	7488 KB	Output is correct
8	Correct	4 ms	7500 KB	Output is correct
9	Correct	4 ms	7372 KB	Output is correct
10	Correct	4 ms	7500 KB	Output is correct
11	Correct	4 ms	7488 KB	Output is correct
12	Correct	4 ms	7500 KB	Output is correct
13	Correct	4 ms	7500 KB	Output is correct
14	Correct	5 ms	7500 KB	Output is correct
15	Correct	4 ms	7440 KB	Output is correct
16	Correct	4 ms	7500 KB	Output is correct
17	Correct	4 ms	7500 KB	Output is correct
18	Correct	4 ms	7500 KB	Output is correct
19	Correct	4 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	7416 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	7500 KB	Output is correct
30	Correct	4 ms	7500 KB	Output is correct
31	Correct	4 ms	7500 KB	Output is correct
32	Correct	4 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	7372 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	7500 KB	Output is correct
41	Correct	4 ms	7500 KB	Output is correct
42	Correct	4 ms	7500 KB	Output is correct
43	Correct	4 ms	7500 KB	Output is correct
44	Correct	4 ms	7500 KB	Output is correct
45	Correct	4 ms	7500 KB	Output is correct
46	Correct	5 ms	7500 KB	Output is correct
47	Correct	4 ms	7500 KB	Output is correct
48	Correct	4 ms	7372 KB	Output is correct
49	Correct	4 ms	7500 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	12 ms	8764 KB	Output is correct
54	Correct	126 ms	20644 KB	Output is correct
55	Correct	144 ms	20692 KB	Output is correct
56	Correct	150 ms	20676 KB	Output is correct
57	Correct	121 ms	20652 KB	Output is correct
58	Correct	148 ms	26016 KB	Output is correct
59	Correct	136 ms	24044 KB	Output is correct
60	Correct	129 ms	24156 KB	Output is correct
61	Correct	97 ms	21600 KB	Output is correct
62	Correct	109 ms	21212 KB	Output is correct
63	Correct	154 ms	20460 KB	Output is correct
64	Correct	143 ms	20468 KB	Output is correct
65	Correct	96 ms	23484 KB	Output is correct
66	Correct	139 ms	26980 KB	Output is correct
67	Correct	160 ms	27740 KB	Output is correct
68	Correct	140 ms	20436 KB	Output is correct
69	Correct	131 ms	20524 KB	Output is correct
70	Correct	181 ms	20612 KB	Output is correct
71	Correct	95 ms	21308 KB	Output is correct
72	Correct	95 ms	21420 KB	Output is correct
73	Correct	98 ms	21252 KB	Output is correct
74	Correct	8 ms	8012 KB	Output is correct
75	Correct	8 ms	8140 KB	Output is correct
76	Correct	8 ms	8012 KB	Output is correct
77	Correct	8 ms	8152 KB	Output is correct
78	Correct	9 ms	8168 KB	Output is correct
79	Correct	8 ms	8140 KB	Output is correct
80	Correct	7 ms	8160 KB	Output is correct
81	Correct	7 ms	8140 KB	Output is correct
82	Correct	7 ms	8168 KB	Output is correct
83	Correct	7 ms	8012 KB	Output is correct
84	Correct	8 ms	7908 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	8140 KB	Output is correct
88	Correct	8 ms	8036 KB	Output is correct
89	Correct	8 ms	8140 KB	Output is correct
90	Correct	8 ms	8140 KB	Output is correct
91	Correct	9 ms	8012 KB	Output is correct
92	Correct	7 ms	8164 KB	Output is correct
93	Correct	8 ms	8012 KB	Output is correct
94	Correct	8 ms	7884 KB	Output is correct
95	Correct	7 ms	8160 KB	Output is correct
96	Correct	8 ms	7908 KB	Output is correct
97	Correct	8 ms	7912 KB	Output is correct
98	Correct	8 ms	8012 KB	Output is correct
99	Correct	9 ms	8200 KB	Output is correct
100	Correct	8 ms	7908 KB	Output is correct
101	Correct	7 ms	8012 KB	Output is correct
102	Correct	7 ms	7888 KB	Output is correct
103	Correct	7 ms	8012 KB	Output is correct
104	Correct	10 ms	8012 KB	Output is correct
105	Correct	9 ms	8012 KB	Output is correct
106	Correct	126 ms	21448 KB	Output is correct
107	Correct	149 ms	20752 KB	Output is correct
108	Correct	133 ms	20460 KB	Output is correct
109	Correct	150 ms	20212 KB	Output is correct
110	Correct	108 ms	22596 KB	Output is correct
111	Correct	108 ms	22476 KB	Output is correct
112	Correct	125 ms	21344 KB	Output is correct
113	Correct	128 ms	17904 KB	Output is correct
114	Correct	128 ms	19576 KB	Output is correct
115	Correct	91 ms	22332 KB	Output is correct
116	Correct	116 ms	22016 KB	Output is correct
117	Correct	127 ms	21540 KB	Output is correct
118	Correct	101 ms	22328 KB	Output is correct
119	Correct	132 ms	18156 KB	Output is correct
120	Correct	114 ms	17824 KB	Output is correct
121	Correct	115 ms	17516 KB	Output is correct
122	Correct	137 ms	17368 KB	Output is correct
123	Correct	96 ms	22640 KB	Output is correct
124	Correct	92 ms	22576 KB	Output is correct
125	Correct	99 ms	22520 KB	Output is correct
126	Correct	133 ms	21132 KB	Output is correct
127	Correct	138 ms	20676 KB	Output is correct
128	Correct	118 ms	20416 KB	Output is correct
129	Correct	135 ms	20224 KB	Output is correct
130	Correct	106 ms	22468 KB	Output is correct
131	Correct	110 ms	22564 KB	Output is correct
132	Correct	120 ms	21188 KB	Output is correct
133	Correct	115 ms	17988 KB	Output is correct
134	Correct	134 ms	19552 KB	Output is correct
135	Correct	87 ms	22276 KB	Output is correct
136	Correct	116 ms	21036 KB	Output is correct
137	Correct	168 ms	21552 KB	Output is correct
138	Correct	88 ms	22368 KB	Output is correct
139	Correct	106 ms	18068 KB	Output is correct
140	Correct	111 ms	16428 KB	Output is correct
141	Correct	152 ms	16164 KB	Output is correct
142	Correct	120 ms	15976 KB	Output is correct
143	Correct	95 ms	21456 KB	Output is correct
144	Correct	88 ms	21480 KB	Output is correct
145	Correct	88 ms	21168 KB	Output is correct
146	Correct	104 ms	14072 KB	Output is correct
147	Correct	104 ms	13440 KB	Output is correct
148	Correct	102 ms	13512 KB	Output is correct
149	Correct	88 ms	14232 KB	Output is correct
150	Correct	121 ms	21020 KB	Output is correct
151	Correct	128 ms	14148 KB	Output is correct
152	Correct	126 ms	15432 KB	Output is correct
153	Correct	112 ms	15348 KB	Output is correct
154	Correct	103 ms	16836 KB	Output is correct
155	Correct	91 ms	21128 KB	Output is correct
156	Correct	118 ms	16860 KB	Output is correct
157	Correct	99 ms	16540 KB	Output is correct
158	Correct	138 ms	16104 KB	Output is correct
159	Correct	158 ms	20264 KB	Output is correct
160	Correct	151 ms	24644 KB	Output is correct
161	Correct	147 ms	19888 KB	Output is correct
162	Correct	96 ms	20704 KB	Output is correct

Submission #469104

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