Submission #782920

# Submission time Handle Problem Language Result Execution time Memory
782920 2023-07-14T11:33:07 Z Sami_Massah Subtree (INOI20_subtree) C++17
100 / 100
135 ms 19504 KB
#include <bits/stdc++.h>
using namespace std;


const int maxn = 1e5 + 12, mod = 1e9 + 7;
long long n, m, pd[maxn], h[maxn], dp[maxn], sum[maxn];
vector <int> conn[maxn], nums;
bitset <maxn> marked, in_nums;
void dfs(int u, int p = -1){

    marked[u] = 1;
    int me = -1;
    for(int v: conn[u])
        if(!marked[v]){
            pd[v] = u;
            h[v] = h[u] + 1;
            dfs(v, u);
        }
        else if(h[u] < h[v])
            me = v;
   // cout << u << ' ' << me << endl;
    if(me == -1){
        dp[u] = 1;
        for(int v: conn[u])
            if(h[u] < h[v]){
            //    cout << u << '-' << v << endl;
                dp[u] = (dp[u] * (dp[v] + 1)) % mod;
    }
        dp[u] %= mod;
        //cout << u << "->" << dp[u] << endl;
    }
    else{
        nums.clear();
    //    in_nums = 0;
        while(h[u] <= h[me] && me){
            nums.push_back(me);
            in_nums[me] = 1;
            me = pd[me];
        }
        for(int j = 0; j <= nums.size(); j++)
            sum[j] = 0;
        long long res = 1;
        for(int j = 0; j < nums.size(); j++){

            int nu = nums[j];
            for(int v: conn[nu])
                if(h[nu] < h[v] && !in_nums[v]){
                    res = res * (dp[v] + 1) % mod;
                    res %= mod;
                }
            sum[j] = (j == 0? 1: sum[j - 1]);
            sum[j] += res;
            sum[j] %= mod;
          //  cout << nu << ' ' << sum[j] << endl;

        }
       // cout << dp[2] << endl;
        res = 1;
        for(int j = nums.size() - 1; j >= 1; j--){
            int nu = nums[j];
            for(int v: conn[nu])
                if(h[nu] < h[v] && !in_nums[v]){
                    res = res * (dp[v] + 1) % mod;
                }
            res %= mod;
            if(j - 2 >= 0)
                dp[u] += res % mod * (sum[j - 2] % mod) % mod;
            dp[u] %= mod;
        }
        //cout << dp[2] << endl;
        dp[u] += res;
        dp[u] %= mod;
        for(int j: nums)
            in_nums[j] = 0;
    }


}
int main(){
    cin >> n >> m;
    for(int i = 0; i < m; i++){
        int a, b;
        cin >> a >> b;
        conn[a].push_back(b);
        conn[b].push_back(a);
    }
   // cout << endl;
    dfs(1);
    long long ans = 0;
   // cout << endl;
    for(int i = 1; i <= n; i++){
        ans += dp[i];
        ans %= mod;
       // cout << i << ' ' << dp[i] << endl;
        }
    cout << ans << endl;









}

Compilation message

Main.cpp: In function 'void dfs(int, int)':
Main.cpp:40:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   40 |         for(int j = 0; j <= nums.size(); j++)
      |                        ~~^~~~~~~~~~~~~~
Main.cpp:43:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   43 |         for(int j = 0; j < nums.size(); j++){
      |                        ~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 1 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 1 ms 2644 KB Output is correct
9 Correct 1 ms 2644 KB Output is correct
10 Correct 1 ms 2644 KB Output is correct
11 Correct 1 ms 2644 KB Output is correct
12 Correct 1 ms 2644 KB Output is correct
13 Correct 1 ms 2664 KB Output is correct
14 Correct 1 ms 2644 KB Output is correct
15 Correct 1 ms 2664 KB Output is correct
16 Correct 1 ms 2660 KB Output is correct
17 Correct 1 ms 2656 KB Output is correct
18 Correct 1 ms 2644 KB Output is correct
19 Correct 1 ms 2644 KB Output is correct
20 Correct 2 ms 2644 KB Output is correct
21 Correct 1 ms 2644 KB Output is correct
22 Correct 1 ms 2644 KB Output is correct
23 Correct 1 ms 2660 KB Output is correct
24 Correct 3 ms 2668 KB Output is correct
25 Correct 1 ms 2644 KB Output is correct
26 Correct 1 ms 2644 KB Output is correct
27 Correct 1 ms 2644 KB Output is correct
28 Correct 2 ms 2644 KB Output is correct
29 Correct 2 ms 2644 KB Output is correct
30 Correct 1 ms 2644 KB Output is correct
31 Correct 1 ms 2644 KB Output is correct
32 Correct 2 ms 2644 KB Output is correct
33 Correct 1 ms 2644 KB Output is correct
34 Correct 1 ms 2644 KB Output is correct
35 Correct 2 ms 2644 KB Output is correct
36 Correct 1 ms 2644 KB Output is correct
37 Correct 2 ms 2644 KB Output is correct
38 Correct 2 ms 2644 KB Output is correct
39 Correct 2 ms 2644 KB Output is correct
40 Correct 2 ms 2644 KB Output is correct
41 Correct 2 ms 2664 KB Output is correct
42 Correct 2 ms 2664 KB Output is correct
43 Correct 2 ms 2660 KB Output is correct
44 Correct 2 ms 2644 KB Output is correct
45 Correct 2 ms 2668 KB Output is correct
46 Correct 1 ms 2668 KB Output is correct
47 Correct 1 ms 2644 KB Output is correct
48 Correct 1 ms 2644 KB Output is correct
49 Correct 1 ms 2644 KB Output is correct
50 Correct 1 ms 2672 KB Output is correct
51 Correct 1 ms 2664 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 6 ms 3284 KB Output is correct
3 Correct 58 ms 9300 KB Output is correct
4 Correct 55 ms 9352 KB Output is correct
5 Correct 58 ms 9388 KB Output is correct
6 Correct 55 ms 9332 KB Output is correct
7 Correct 71 ms 17192 KB Output is correct
8 Correct 68 ms 14224 KB Output is correct
9 Correct 60 ms 14244 KB Output is correct
10 Correct 51 ms 9856 KB Output is correct
11 Correct 59 ms 9620 KB Output is correct
12 Correct 59 ms 9276 KB Output is correct
13 Correct 63 ms 9404 KB Output is correct
14 Correct 55 ms 12868 KB Output is correct
15 Correct 69 ms 17436 KB Output is correct
16 Correct 64 ms 19504 KB Output is correct
17 Correct 58 ms 9328 KB Output is correct
18 Correct 55 ms 9364 KB Output is correct
19 Correct 55 ms 9324 KB Output is correct
20 Correct 49 ms 9552 KB Output is correct
21 Correct 50 ms 9772 KB Output is correct
22 Correct 50 ms 9712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 1 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 1 ms 2644 KB Output is correct
9 Correct 1 ms 2644 KB Output is correct
10 Correct 1 ms 2644 KB Output is correct
11 Correct 1 ms 2644 KB Output is correct
12 Correct 1 ms 2644 KB Output is correct
13 Correct 1 ms 2664 KB Output is correct
14 Correct 1 ms 2644 KB Output is correct
15 Correct 1 ms 2664 KB Output is correct
16 Correct 1 ms 2660 KB Output is correct
17 Correct 1 ms 2656 KB Output is correct
18 Correct 1 ms 2644 KB Output is correct
19 Correct 1 ms 2644 KB Output is correct
20 Correct 2 ms 2644 KB Output is correct
21 Correct 1 ms 2644 KB Output is correct
22 Correct 1 ms 2644 KB Output is correct
23 Correct 1 ms 2660 KB Output is correct
24 Correct 3 ms 2668 KB Output is correct
25 Correct 1 ms 2644 KB Output is correct
26 Correct 1 ms 2644 KB Output is correct
27 Correct 1 ms 2644 KB Output is correct
28 Correct 2 ms 2644 KB Output is correct
29 Correct 2 ms 2644 KB Output is correct
30 Correct 1 ms 2644 KB Output is correct
31 Correct 1 ms 2644 KB Output is correct
32 Correct 2 ms 2644 KB Output is correct
33 Correct 1 ms 2644 KB Output is correct
34 Correct 1 ms 2644 KB Output is correct
35 Correct 2 ms 2644 KB Output is correct
36 Correct 1 ms 2644 KB Output is correct
37 Correct 2 ms 2644 KB Output is correct
38 Correct 2 ms 2644 KB Output is correct
39 Correct 2 ms 2644 KB Output is correct
40 Correct 2 ms 2644 KB Output is correct
41 Correct 2 ms 2664 KB Output is correct
42 Correct 2 ms 2664 KB Output is correct
43 Correct 2 ms 2660 KB Output is correct
44 Correct 2 ms 2644 KB Output is correct
45 Correct 2 ms 2668 KB Output is correct
46 Correct 1 ms 2668 KB Output is correct
47 Correct 1 ms 2644 KB Output is correct
48 Correct 1 ms 2644 KB Output is correct
49 Correct 1 ms 2644 KB Output is correct
50 Correct 1 ms 2672 KB Output is correct
51 Correct 1 ms 2664 KB Output is correct
52 Correct 4 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 4 ms 2900 KB Output is correct
56 Correct 4 ms 3284 KB Output is correct
57 Correct 4 ms 2924 KB Output is correct
58 Correct 4 ms 2932 KB Output is correct
59 Correct 4 ms 3064 KB Output is correct
60 Correct 4 ms 2900 KB Output is correct
61 Correct 4 ms 2972 KB Output is correct
62 Correct 4 ms 2900 KB Output is correct
63 Correct 4 ms 2932 KB Output is correct
64 Correct 3 ms 2900 KB Output is correct
65 Correct 4 ms 2900 KB Output is correct
66 Correct 4 ms 2900 KB Output is correct
67 Correct 3 ms 2900 KB Output is correct
68 Correct 5 ms 3208 KB Output is correct
69 Correct 4 ms 2900 KB Output is correct
70 Correct 3 ms 2900 KB Output is correct
71 Correct 4 ms 2900 KB Output is correct
72 Correct 4 ms 2900 KB Output is correct
73 Correct 3 ms 2900 KB Output is correct
74 Correct 4 ms 2900 KB Output is correct
75 Correct 4 ms 3156 KB Output is correct
76 Correct 4 ms 2904 KB Output is correct
77 Correct 4 ms 3284 KB Output is correct
78 Correct 4 ms 3028 KB Output is correct
79 Correct 4 ms 3284 KB Output is correct
80 Correct 4 ms 2944 KB Output is correct
81 Correct 4 ms 2900 KB Output is correct
82 Correct 4 ms 2900 KB Output is correct
83 Correct 3 ms 2900 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 1 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 1 ms 2644 KB Output is correct
9 Correct 1 ms 2644 KB Output is correct
10 Correct 1 ms 2644 KB Output is correct
11 Correct 1 ms 2644 KB Output is correct
12 Correct 1 ms 2644 KB Output is correct
13 Correct 1 ms 2664 KB Output is correct
14 Correct 1 ms 2644 KB Output is correct
15 Correct 1 ms 2664 KB Output is correct
16 Correct 1 ms 2660 KB Output is correct
17 Correct 1 ms 2656 KB Output is correct
18 Correct 1 ms 2644 KB Output is correct
19 Correct 1 ms 2644 KB Output is correct
20 Correct 2 ms 2644 KB Output is correct
21 Correct 1 ms 2644 KB Output is correct
22 Correct 1 ms 2644 KB Output is correct
23 Correct 1 ms 2660 KB Output is correct
24 Correct 3 ms 2668 KB Output is correct
25 Correct 1 ms 2644 KB Output is correct
26 Correct 1 ms 2644 KB Output is correct
27 Correct 1 ms 2644 KB Output is correct
28 Correct 2 ms 2644 KB Output is correct
29 Correct 2 ms 2644 KB Output is correct
30 Correct 1 ms 2644 KB Output is correct
31 Correct 1 ms 2644 KB Output is correct
32 Correct 2 ms 2644 KB Output is correct
33 Correct 1 ms 2644 KB Output is correct
34 Correct 1 ms 2644 KB Output is correct
35 Correct 2 ms 2644 KB Output is correct
36 Correct 1 ms 2644 KB Output is correct
37 Correct 2 ms 2644 KB Output is correct
38 Correct 2 ms 2644 KB Output is correct
39 Correct 2 ms 2644 KB Output is correct
40 Correct 2 ms 2644 KB Output is correct
41 Correct 2 ms 2664 KB Output is correct
42 Correct 2 ms 2664 KB Output is correct
43 Correct 2 ms 2660 KB Output is correct
44 Correct 2 ms 2644 KB Output is correct
45 Correct 2 ms 2668 KB Output is correct
46 Correct 1 ms 2668 KB Output is correct
47 Correct 1 ms 2644 KB Output is correct
48 Correct 1 ms 2644 KB Output is correct
49 Correct 1 ms 2644 KB Output is correct
50 Correct 1 ms 2672 KB Output is correct
51 Correct 1 ms 2664 KB Output is correct
52 Correct 1 ms 2644 KB Output is correct
53 Correct 6 ms 3284 KB Output is correct
54 Correct 58 ms 9300 KB Output is correct
55 Correct 55 ms 9352 KB Output is correct
56 Correct 58 ms 9388 KB Output is correct
57 Correct 55 ms 9332 KB Output is correct
58 Correct 71 ms 17192 KB Output is correct
59 Correct 68 ms 14224 KB Output is correct
60 Correct 60 ms 14244 KB Output is correct
61 Correct 51 ms 9856 KB Output is correct
62 Correct 59 ms 9620 KB Output is correct
63 Correct 59 ms 9276 KB Output is correct
64 Correct 63 ms 9404 KB Output is correct
65 Correct 55 ms 12868 KB Output is correct
66 Correct 69 ms 17436 KB Output is correct
67 Correct 64 ms 19504 KB Output is correct
68 Correct 58 ms 9328 KB Output is correct
69 Correct 55 ms 9364 KB Output is correct
70 Correct 55 ms 9324 KB Output is correct
71 Correct 49 ms 9552 KB Output is correct
72 Correct 50 ms 9772 KB Output is correct
73 Correct 50 ms 9712 KB Output is correct
74 Correct 4 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 4 ms 2900 KB Output is correct
78 Correct 4 ms 3284 KB Output is correct
79 Correct 4 ms 2924 KB Output is correct
80 Correct 4 ms 2932 KB Output is correct
81 Correct 4 ms 3064 KB Output is correct
82 Correct 4 ms 2900 KB Output is correct
83 Correct 4 ms 2972 KB Output is correct
84 Correct 4 ms 2900 KB Output is correct
85 Correct 4 ms 2932 KB Output is correct
86 Correct 3 ms 2900 KB Output is correct
87 Correct 4 ms 2900 KB Output is correct
88 Correct 4 ms 2900 KB Output is correct
89 Correct 3 ms 2900 KB Output is correct
90 Correct 5 ms 3208 KB Output is correct
91 Correct 4 ms 2900 KB Output is correct
92 Correct 3 ms 2900 KB Output is correct
93 Correct 4 ms 2900 KB Output is correct
94 Correct 4 ms 2900 KB Output is correct
95 Correct 3 ms 2900 KB Output is correct
96 Correct 4 ms 2900 KB Output is correct
97 Correct 4 ms 3156 KB Output is correct
98 Correct 4 ms 2904 KB Output is correct
99 Correct 4 ms 3284 KB Output is correct
100 Correct 4 ms 3028 KB Output is correct
101 Correct 4 ms 3284 KB Output is correct
102 Correct 4 ms 2944 KB Output is correct
103 Correct 4 ms 2900 KB Output is correct
104 Correct 4 ms 2900 KB Output is correct
105 Correct 3 ms 2900 KB Output is correct
106 Correct 70 ms 9364 KB Output is correct
107 Correct 64 ms 9412 KB Output is correct
108 Correct 64 ms 9544 KB Output is correct
109 Correct 62 ms 9576 KB Output is correct
110 Correct 61 ms 9828 KB Output is correct
111 Correct 56 ms 10656 KB Output is correct
112 Correct 72 ms 15564 KB Output is correct
113 Correct 72 ms 9468 KB Output is correct
114 Correct 62 ms 9364 KB Output is correct
115 Correct 53 ms 9664 KB Output is correct
116 Correct 69 ms 16588 KB Output is correct
117 Correct 102 ms 15408 KB Output is correct
118 Correct 54 ms 10468 KB Output is correct
119 Correct 83 ms 9412 KB Output is correct
120 Correct 101 ms 9376 KB Output is correct
121 Correct 79 ms 9644 KB Output is correct
122 Correct 80 ms 9516 KB Output is correct
123 Correct 57 ms 9804 KB Output is correct
124 Correct 56 ms 9764 KB Output is correct
125 Correct 67 ms 9656 KB Output is correct
126 Correct 62 ms 9460 KB Output is correct
127 Correct 64 ms 9496 KB Output is correct
128 Correct 71 ms 9472 KB Output is correct
129 Correct 78 ms 9592 KB Output is correct
130 Correct 66 ms 9844 KB Output is correct
131 Correct 58 ms 10740 KB Output is correct
132 Correct 135 ms 15468 KB Output is correct
133 Correct 69 ms 9380 KB Output is correct
134 Correct 63 ms 9416 KB Output is correct
135 Correct 66 ms 9556 KB Output is correct
136 Correct 65 ms 14904 KB Output is correct
137 Correct 77 ms 15304 KB Output is correct
138 Correct 52 ms 10372 KB Output is correct
139 Correct 60 ms 9344 KB Output is correct
140 Correct 77 ms 9504 KB Output is correct
141 Correct 77 ms 9476 KB Output is correct
142 Correct 72 ms 9512 KB Output is correct
143 Correct 52 ms 9824 KB Output is correct
144 Correct 56 ms 9768 KB Output is correct
145 Correct 49 ms 9680 KB Output is correct
146 Correct 67 ms 9392 KB Output is correct
147 Correct 63 ms 9368 KB Output is correct
148 Correct 62 ms 9832 KB Output is correct
149 Correct 65 ms 10900 KB Output is correct
150 Correct 73 ms 18176 KB Output is correct
151 Correct 66 ms 9472 KB Output is correct
152 Correct 81 ms 9716 KB Output is correct
153 Correct 72 ms 9892 KB Output is correct
154 Correct 70 ms 10808 KB Output is correct
155 Correct 52 ms 9832 KB Output is correct
156 Correct 69 ms 16072 KB Output is correct
157 Correct 69 ms 15172 KB Output is correct
158 Correct 63 ms 14280 KB Output is correct
159 Correct 60 ms 9248 KB Output is correct
160 Correct 61 ms 16656 KB Output is correct
161 Correct 57 ms 9340 KB Output is correct
162 Correct 58 ms 9780 KB Output is correct