답안 #634633

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
634633	2022-08-24T16:13:15 Z	MohammadAghil	Subtree (INOI20_subtree)	C++17	100 / 100	168 ms	36328 KB

Main

#include <bits/stdc++.h>
//#pragma GCC optimize("Ofast,unroll-loops")
//#pragma GCC target ("avx2")
using namespace std;

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

#define rep(i,l,r) for(int i = (l); i < (r); i++)
#define per(i,r,l) for(int i = (r); i >= (l); i--)
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define pb push_back
#define ff first
#define ss second

void dbg(){
    cerr << endl;
}
template<typename Head, typename... Tail> void dbg(Head h, Tail... t){
    cerr << " " << h << ",";
    dbg(t...);
}
#define er(...) cerr << __LINE__ << " <" << #__VA_ARGS__ << ">:", dbg(__VA_ARGS__)

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

void IOS(){
    cin.tie(0) -> sync_with_stdio(0);
//    #ifndef ONLINE_JUDGE
//        freopen("inp.txt", "r", stdin);
//        freopen("out.txt", "w", stdout);
//    #endif
}

const ll mod = 1e9 + 7, maxn = 1e5 + 5, lg = 19, inf = ll(1e9) + 5;

vector<int> adj[maxn], lis[maxn];
vector<pp>  adj2[maxn];
bool vis[maxn], king[maxn];
int cnt_cycle, grp[maxn];

pp dfs(int r, int p){
    pp res = {-1, -1};
    vis[r] = true;
    for(int c: adj[r]) if(c - p){
        if(vis[c]){
            if(res.ff + 1) continue;
            res = {c, cnt_cycle++};
            grp[r] = res.ss;
            lis[grp[r]].pb(r);
        }else{
            pp ret = dfs(c, r);
            if(ret.ff + 1){
                assert(res.ff == -1);
                grp[r] = ret.ss;
                res = ret;
                lis[grp[r]].pb(r);
            }
        }
    }
    if(res.ff == r) res = {-1, -1};
    return res;
}

ll slv(vector<ll> a){
    if(sz(a) < 3) return a[0];
    int n = sz(a);
    vector<ll> suf(n + 1);
    suf[n] = 1;
    per(i,n-1,0){
        suf[i] = suf[i+1]*a[i]%mod;
    }
    ll cr = 0, mul = a[0];
    rep(i,2,n+1) cr += suf[i], cr %= mod;
    ll res = 0;
    rep(i,0,n-1){
        res = (res + cr*mul)%mod;
        cr = (cr - suf[i + 2] + mod)%mod;
        mul = mul*a[i + 1]%mod;
    }
    return res;
}

ll slv2(vector<ll> a){
    ll res = 0;
    ll cr = 0;
    rep(i,0,sz(a)){
        cr = (cr + 1)*a[i]%mod;
        res = (res + cr)%mod;
    }
    return res;
}

ll dp[maxn], dp2[maxn], ans;
void dfs2(int r, int p){
    for(auto[c, u]: adj2[r]){
        if(c - p){
            king[u] = true;
            dfs2(c, r);
        }
    }
    int pos = 0, ptr = 0;
    for(int u: lis[r]){
        dp2[u] = 1;
        for(int c: adj[u]) if(grp[u] - grp[c] && grp[c] - p){
            dp2[u] = dp2[u]*(dp[c] + 1)%mod;
        }
        if(king[u]) pos = ptr;
        ptr++;
    }
    vector<ll> tmp, tmp2;
    rep(i,pos,sz(lis[r])) tmp.pb(dp2[lis[r][i]]);
    rep(i,0,pos) tmp.pb(dp2[lis[r][i]]);
    rep(i,pos+1,sz(lis[r])) dp[lis[r][i]] = dp2[lis[r][i]], tmp2.pb(dp[lis[r][i]]);
    rep(i,0,pos) dp[lis[r][i]] = dp2[lis[r][i]], tmp2.pb(dp[lis[r][i]]);
    dp[lis[r][pos]] = slv(tmp);
    ans = (ans + dp[lis[r][pos]] + slv2(tmp2))%mod;
}

void chk(int r, int p){
    vis[r] = false;
    for(auto[c, y]: adj2[r]) if(c - p){
        assert(vis[c]);
        chk(c, r);
    }
}

int main(){ IOS();
    int n, m; cin >> n >> m;
    rep(i,0,m){
        int u, v; cin >> u >> v; u--, v--;
        adj[u].pb(v), adj[v].pb(u);
    }
    fill(grp, grp + n, -1);
    dfs(0, -1);
    rep(i,0,n){
        if(grp[i] == -1) {
            grp[i] = cnt_cycle++;
            lis[grp[i]].pb(i);
        }
    }
    rep(i,0,n){
        for(int c: adj[i]){
            if(grp[i] - grp[c]){
                adj2[grp[i]].pb({grp[c], c});
            }
        }
    }
    king[0] = true;
    dfs2(grp[0], -1);
    chk(0, -1);
//    rep(i,0,n){
//        er(i+1, dp[i], dp2[i], king[i], grp[i]);
//    }
//    er(slv2({1, 2, 3, 4}));
    cout << ans << '\n';
    return 0;
}

Subtask #1
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	4 ms	7380 KB	Output is correct
2	Correct	4 ms	7380 KB	Output is correct
3	Correct	4 ms	7344 KB	Output is correct
4	Correct	4 ms	7380 KB	Output is correct
5	Correct	4 ms	7396 KB	Output is correct
6	Correct	5 ms	7352 KB	Output is correct
7	Correct	4 ms	7380 KB	Output is correct
8	Correct	4 ms	7380 KB	Output is correct
9	Correct	4 ms	7328 KB	Output is correct
10	Correct	3 ms	7380 KB	Output is correct
11	Correct	4 ms	7380 KB	Output is correct
12	Correct	4 ms	7380 KB	Output is correct
13	Correct	4 ms	7396 KB	Output is correct
14	Correct	4 ms	7380 KB	Output is correct
15	Correct	4 ms	7380 KB	Output is correct
16	Correct	4 ms	7380 KB	Output is correct
17	Correct	5 ms	7380 KB	Output is correct
18	Correct	4 ms	7380 KB	Output is correct
19	Correct	4 ms	7380 KB	Output is correct
20	Correct	4 ms	7380 KB	Output is correct
21	Correct	4 ms	7376 KB	Output is correct
22	Correct	4 ms	7380 KB	Output is correct
23	Correct	4 ms	7380 KB	Output is correct
24	Correct	4 ms	7380 KB	Output is correct
25	Correct	4 ms	7336 KB	Output is correct
26	Correct	4 ms	7380 KB	Output is correct
27	Correct	4 ms	7380 KB	Output is correct
28	Correct	4 ms	7380 KB	Output is correct
29	Correct	4 ms	7380 KB	Output is correct
30	Correct	4 ms	7380 KB	Output is correct
31	Correct	5 ms	7380 KB	Output is correct
32	Correct	4 ms	7380 KB	Output is correct
33	Correct	4 ms	7380 KB	Output is correct
34	Correct	5 ms	7380 KB	Output is correct
35	Correct	5 ms	7380 KB	Output is correct
36	Correct	4 ms	7380 KB	Output is correct
37	Correct	4 ms	7380 KB	Output is correct
38	Correct	4 ms	7380 KB	Output is correct
39	Correct	4 ms	7384 KB	Output is correct
40	Correct	4 ms	7380 KB	Output is correct
41	Correct	4 ms	7380 KB	Output is correct
42	Correct	4 ms	7380 KB	Output is correct
43	Correct	4 ms	7380 KB	Output is correct
44	Correct	4 ms	7380 KB	Output is correct
45	Correct	4 ms	7380 KB	Output is correct
46	Correct	4 ms	7360 KB	Output is correct
47	Correct	4 ms	7376 KB	Output is correct
48	Correct	4 ms	7376 KB	Output is correct
49	Correct	4 ms	7388 KB	Output is correct
50	Correct	4 ms	7384 KB	Output is correct
51	Correct	5 ms	7380 KB	Output is correct

Subtask #2
12.0 / 12.0

#	결과	실행 시간	메모리	Grader output
1	Correct	4 ms	7380 KB	Output is correct
2	Correct	10 ms	8580 KB	Output is correct
3	Correct	119 ms	19624 KB	Output is correct
4	Correct	118 ms	19624 KB	Output is correct
5	Correct	112 ms	19600 KB	Output is correct
6	Correct	114 ms	19592 KB	Output is correct
7	Correct	140 ms	32604 KB	Output is correct
8	Correct	136 ms	27852 KB	Output is correct
9	Correct	132 ms	28088 KB	Output is correct
10	Correct	98 ms	20616 KB	Output is correct
11	Correct	102 ms	19732 KB	Output is correct
12	Correct	125 ms	18964 KB	Output is correct
13	Correct	144 ms	18988 KB	Output is correct
14	Correct	95 ms	25280 KB	Output is correct
15	Correct	133 ms	34636 KB	Output is correct
16	Correct	168 ms	36328 KB	Output is correct
17	Correct	133 ms	19020 KB	Output is correct
18	Correct	135 ms	19068 KB	Output is correct
19	Correct	124 ms	18944 KB	Output is correct
20	Correct	89 ms	19988 KB	Output is correct
21	Correct	107 ms	20136 KB	Output is correct
22	Correct	105 ms	20128 KB	Output is correct

Subtask #3
30.0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	4 ms	7380 KB	Output is correct
2	Correct	4 ms	7380 KB	Output is correct
3	Correct	4 ms	7344 KB	Output is correct
4	Correct	4 ms	7380 KB	Output is correct
5	Correct	4 ms	7396 KB	Output is correct
6	Correct	5 ms	7352 KB	Output is correct
7	Correct	4 ms	7380 KB	Output is correct
8	Correct	4 ms	7380 KB	Output is correct
9	Correct	4 ms	7328 KB	Output is correct
10	Correct	3 ms	7380 KB	Output is correct
11	Correct	4 ms	7380 KB	Output is correct
12	Correct	4 ms	7380 KB	Output is correct
13	Correct	4 ms	7396 KB	Output is correct
14	Correct	4 ms	7380 KB	Output is correct
15	Correct	4 ms	7380 KB	Output is correct
16	Correct	4 ms	7380 KB	Output is correct
17	Correct	5 ms	7380 KB	Output is correct
18	Correct	4 ms	7380 KB	Output is correct
19	Correct	4 ms	7380 KB	Output is correct
20	Correct	4 ms	7380 KB	Output is correct
21	Correct	4 ms	7376 KB	Output is correct
22	Correct	4 ms	7380 KB	Output is correct
23	Correct	4 ms	7380 KB	Output is correct
24	Correct	4 ms	7380 KB	Output is correct
25	Correct	4 ms	7336 KB	Output is correct
26	Correct	4 ms	7380 KB	Output is correct
27	Correct	4 ms	7380 KB	Output is correct
28	Correct	4 ms	7380 KB	Output is correct
29	Correct	4 ms	7380 KB	Output is correct
30	Correct	4 ms	7380 KB	Output is correct
31	Correct	5 ms	7380 KB	Output is correct
32	Correct	4 ms	7380 KB	Output is correct
33	Correct	4 ms	7380 KB	Output is correct
34	Correct	5 ms	7380 KB	Output is correct
35	Correct	5 ms	7380 KB	Output is correct
36	Correct	4 ms	7380 KB	Output is correct
37	Correct	4 ms	7380 KB	Output is correct
38	Correct	4 ms	7380 KB	Output is correct
39	Correct	4 ms	7384 KB	Output is correct
40	Correct	4 ms	7380 KB	Output is correct
41	Correct	4 ms	7380 KB	Output is correct
42	Correct	4 ms	7380 KB	Output is correct
43	Correct	4 ms	7380 KB	Output is correct
44	Correct	4 ms	7380 KB	Output is correct
45	Correct	4 ms	7380 KB	Output is correct
46	Correct	4 ms	7360 KB	Output is correct
47	Correct	4 ms	7376 KB	Output is correct
48	Correct	4 ms	7376 KB	Output is correct
49	Correct	4 ms	7388 KB	Output is correct
50	Correct	4 ms	7384 KB	Output is correct
51	Correct	5 ms	7380 KB	Output is correct
52	Correct	6 ms	8020 KB	Output is correct
53	Correct	6 ms	7892 KB	Output is correct
54	Correct	7 ms	7896 KB	Output is correct
55	Correct	6 ms	8020 KB	Output is correct
56	Correct	8 ms	8184 KB	Output is correct
57	Correct	7 ms	7976 KB	Output is correct
58	Correct	6 ms	8020 KB	Output is correct
59	Correct	7 ms	8176 KB	Output is correct
60	Correct	7 ms	8092 KB	Output is correct
61	Correct	9 ms	7892 KB	Output is correct
62	Correct	11 ms	7764 KB	Output is correct
63	Correct	8 ms	8032 KB	Output is correct
64	Correct	7 ms	8032 KB	Output is correct
65	Correct	7 ms	8020 KB	Output is correct
66	Correct	7 ms	7876 KB	Output is correct
67	Correct	7 ms	8032 KB	Output is correct
68	Correct	8 ms	8096 KB	Output is correct
69	Correct	7 ms	7900 KB	Output is correct
70	Correct	6 ms	8020 KB	Output is correct
71	Correct	6 ms	7764 KB	Output is correct
72	Correct	8 ms	7908 KB	Output is correct
73	Correct	6 ms	8036 KB	Output is correct
74	Correct	8 ms	7764 KB	Output is correct
75	Correct	7 ms	7892 KB	Output is correct
76	Correct	8 ms	7892 KB	Output is correct
77	Correct	8 ms	8288 KB	Output is correct
78	Correct	6 ms	7764 KB	Output is correct
79	Correct	7 ms	7988 KB	Output is correct
80	Correct	7 ms	7764 KB	Output is correct
81	Correct	7 ms	7908 KB	Output is correct
82	Correct	6 ms	7892 KB	Output is correct
83	Correct	7 ms	7904 KB	Output is correct

Subtask #4
50.0 / 50.0

#	결과	실행 시간	메모리	Grader output
1	Correct	4 ms	7380 KB	Output is correct
2	Correct	4 ms	7380 KB	Output is correct
3	Correct	4 ms	7344 KB	Output is correct
4	Correct	4 ms	7380 KB	Output is correct
5	Correct	4 ms	7396 KB	Output is correct
6	Correct	5 ms	7352 KB	Output is correct
7	Correct	4 ms	7380 KB	Output is correct
8	Correct	4 ms	7380 KB	Output is correct
9	Correct	4 ms	7328 KB	Output is correct
10	Correct	3 ms	7380 KB	Output is correct
11	Correct	4 ms	7380 KB	Output is correct
12	Correct	4 ms	7380 KB	Output is correct
13	Correct	4 ms	7396 KB	Output is correct
14	Correct	4 ms	7380 KB	Output is correct
15	Correct	4 ms	7380 KB	Output is correct
16	Correct	4 ms	7380 KB	Output is correct
17	Correct	5 ms	7380 KB	Output is correct
18	Correct	4 ms	7380 KB	Output is correct
19	Correct	4 ms	7380 KB	Output is correct
20	Correct	4 ms	7380 KB	Output is correct
21	Correct	4 ms	7376 KB	Output is correct
22	Correct	4 ms	7380 KB	Output is correct
23	Correct	4 ms	7380 KB	Output is correct
24	Correct	4 ms	7380 KB	Output is correct
25	Correct	4 ms	7336 KB	Output is correct
26	Correct	4 ms	7380 KB	Output is correct
27	Correct	4 ms	7380 KB	Output is correct
28	Correct	4 ms	7380 KB	Output is correct
29	Correct	4 ms	7380 KB	Output is correct
30	Correct	4 ms	7380 KB	Output is correct
31	Correct	5 ms	7380 KB	Output is correct
32	Correct	4 ms	7380 KB	Output is correct
33	Correct	4 ms	7380 KB	Output is correct
34	Correct	5 ms	7380 KB	Output is correct
35	Correct	5 ms	7380 KB	Output is correct
36	Correct	4 ms	7380 KB	Output is correct
37	Correct	4 ms	7380 KB	Output is correct
38	Correct	4 ms	7380 KB	Output is correct
39	Correct	4 ms	7384 KB	Output is correct
40	Correct	4 ms	7380 KB	Output is correct
41	Correct	4 ms	7380 KB	Output is correct
42	Correct	4 ms	7380 KB	Output is correct
43	Correct	4 ms	7380 KB	Output is correct
44	Correct	4 ms	7380 KB	Output is correct
45	Correct	4 ms	7380 KB	Output is correct
46	Correct	4 ms	7360 KB	Output is correct
47	Correct	4 ms	7376 KB	Output is correct
48	Correct	4 ms	7376 KB	Output is correct
49	Correct	4 ms	7388 KB	Output is correct
50	Correct	4 ms	7384 KB	Output is correct
51	Correct	5 ms	7380 KB	Output is correct
52	Correct	4 ms	7380 KB	Output is correct
53	Correct	10 ms	8580 KB	Output is correct
54	Correct	119 ms	19624 KB	Output is correct
55	Correct	118 ms	19624 KB	Output is correct
56	Correct	112 ms	19600 KB	Output is correct
57	Correct	114 ms	19592 KB	Output is correct
58	Correct	140 ms	32604 KB	Output is correct
59	Correct	136 ms	27852 KB	Output is correct
60	Correct	132 ms	28088 KB	Output is correct
61	Correct	98 ms	20616 KB	Output is correct
62	Correct	102 ms	19732 KB	Output is correct
63	Correct	125 ms	18964 KB	Output is correct
64	Correct	144 ms	18988 KB	Output is correct
65	Correct	95 ms	25280 KB	Output is correct
66	Correct	133 ms	34636 KB	Output is correct
67	Correct	168 ms	36328 KB	Output is correct
68	Correct	133 ms	19020 KB	Output is correct
69	Correct	135 ms	19068 KB	Output is correct
70	Correct	124 ms	18944 KB	Output is correct
71	Correct	89 ms	19988 KB	Output is correct
72	Correct	107 ms	20136 KB	Output is correct
73	Correct	105 ms	20128 KB	Output is correct
74	Correct	6 ms	8020 KB	Output is correct
75	Correct	6 ms	7892 KB	Output is correct
76	Correct	7 ms	7896 KB	Output is correct
77	Correct	6 ms	8020 KB	Output is correct
78	Correct	8 ms	8184 KB	Output is correct
79	Correct	7 ms	7976 KB	Output is correct
80	Correct	6 ms	8020 KB	Output is correct
81	Correct	7 ms	8176 KB	Output is correct
82	Correct	7 ms	8092 KB	Output is correct
83	Correct	9 ms	7892 KB	Output is correct
84	Correct	11 ms	7764 KB	Output is correct
85	Correct	8 ms	8032 KB	Output is correct
86	Correct	7 ms	8032 KB	Output is correct
87	Correct	7 ms	8020 KB	Output is correct
88	Correct	7 ms	7876 KB	Output is correct
89	Correct	7 ms	8032 KB	Output is correct
90	Correct	8 ms	8096 KB	Output is correct
91	Correct	7 ms	7900 KB	Output is correct
92	Correct	6 ms	8020 KB	Output is correct
93	Correct	6 ms	7764 KB	Output is correct
94	Correct	8 ms	7908 KB	Output is correct
95	Correct	6 ms	8036 KB	Output is correct
96	Correct	8 ms	7764 KB	Output is correct
97	Correct	7 ms	7892 KB	Output is correct
98	Correct	8 ms	7892 KB	Output is correct
99	Correct	8 ms	8288 KB	Output is correct
100	Correct	6 ms	7764 KB	Output is correct
101	Correct	7 ms	7988 KB	Output is correct
102	Correct	7 ms	7764 KB	Output is correct
103	Correct	7 ms	7908 KB	Output is correct
104	Correct	6 ms	7892 KB	Output is correct
105	Correct	7 ms	7904 KB	Output is correct
106	Correct	113 ms	20216 KB	Output is correct
107	Correct	116 ms	19788 KB	Output is correct
108	Correct	127 ms	19516 KB	Output is correct
109	Correct	106 ms	19292 KB	Output is correct
110	Correct	92 ms	21344 KB	Output is correct
111	Correct	111 ms	21632 KB	Output is correct
112	Correct	107 ms	22468 KB	Output is correct
113	Correct	105 ms	17220 KB	Output is correct
114	Correct	131 ms	18388 KB	Output is correct
115	Correct	83 ms	21004 KB	Output is correct
116	Correct	98 ms	25152 KB	Output is correct
117	Correct	106 ms	23292 KB	Output is correct
118	Correct	111 ms	21544 KB	Output is correct
119	Correct	94 ms	17268 KB	Output is correct
120	Correct	99 ms	17096 KB	Output is correct
121	Correct	94 ms	16772 KB	Output is correct
122	Correct	104 ms	16672 KB	Output is correct
123	Correct	96 ms	21576 KB	Output is correct
124	Correct	93 ms	21324 KB	Output is correct
125	Correct	84 ms	21204 KB	Output is correct
126	Correct	111 ms	20144 KB	Output is correct
127	Correct	138 ms	19784 KB	Output is correct
128	Correct	103 ms	19416 KB	Output is correct
129	Correct	105 ms	19340 KB	Output is correct
130	Correct	106 ms	21468 KB	Output is correct
131	Correct	105 ms	21708 KB	Output is correct
132	Correct	97 ms	22440 KB	Output is correct
133	Correct	86 ms	17236 KB	Output is correct
134	Correct	123 ms	18492 KB	Output is correct
135	Correct	99 ms	21056 KB	Output is correct
136	Correct	91 ms	22992 KB	Output is correct
137	Correct	102 ms	22880 KB	Output is correct
138	Correct	108 ms	21460 KB	Output is correct
139	Correct	103 ms	17440 KB	Output is correct
140	Correct	96 ms	17000 KB	Output is correct
141	Correct	97 ms	16712 KB	Output is correct
142	Correct	91 ms	16588 KB	Output is correct
143	Correct	101 ms	21536 KB	Output is correct
144	Correct	108 ms	21420 KB	Output is correct
145	Correct	87 ms	21184 KB	Output is correct
146	Correct	72 ms	15156 KB	Output is correct
147	Correct	53 ms	14464 KB	Output is correct
148	Correct	68 ms	14760 KB	Output is correct
149	Correct	51 ms	15928 KB	Output is correct
150	Correct	70 ms	24028 KB	Output is correct
151	Correct	65 ms	15232 KB	Output is correct
152	Correct	97 ms	16328 KB	Output is correct
153	Correct	76 ms	16328 KB	Output is correct
154	Correct	75 ms	18068 KB	Output is correct
155	Correct	119 ms	21148 KB	Output is correct
156	Correct	71 ms	19336 KB	Output is correct
157	Correct	56 ms	18776 KB	Output is correct
158	Correct	54 ms	18200 KB	Output is correct
159	Correct	131 ms	19788 KB	Output is correct
160	Correct	146 ms	31328 KB	Output is correct
161	Correct	126 ms	19532 KB	Output is correct
162	Correct	92 ms	20932 KB	Output is correct

답안 #634633

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