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Submission #723070

# Submission time Handle Problem Language Result Execution time Memory
723070 2023-04-13T08:16:22 Z loctildore Bi-ing Lottery Treekets (CCO22_day2problem1) C++14
25 / 25
 257 ms 129100 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define f first
#define s second
#define endl '\n'
#define all(x) begin(x), end(x)
#define MOD 1000000007
int n, k;
int sz[4069];
int balls[4069];
int lft[4069], rht[4069], dir[4069];
ll perm[4069][4069];
bool done[4069][4069];
ll dp[4069][4069];
int calsz(int x) {
    if (!x) return 0;
    return sz[x] = calsz(lft[x]) + calsz(rht[x]) + 1 - balls[x];
}
ll fnd(int x, int carry) {
    if (x == 0) return carry == 0;
    if (done[x][carry]) return dp[x][carry];
    done[x][carry] = true;
    if (carry > sz[x]) return dp[x][carry] = 0;
    if (carry == sz[x]) {
        ll tmp = (fnd(lft[x], sz[lft[x]]) * fnd(rht[x], sz[rht[x]])) % MOD;
        tmp = (tmp * perm[carry + balls[x]][balls[x]]) % MOD;
        return dp[x][carry] = tmp;
    }
    if (dir[x] && balls[x] + carry >= sz[rht[x]]) {
        ll tmp = (fnd(lft[x], balls[x] + carry - sz[rht[x]]) * fnd(rht[x], sz[rht[x]])) % MOD;
        tmp = (tmp * perm[carry + balls[x]][balls[x]]) % MOD;
        dp[x][carry] = (dp[x][carry] + tmp) % MOD;
    }
    if (!dir[x] && balls[x] + carry >= sz[lft[x]]) {
        ll tmp = (fnd(lft[x], sz[lft[x]]) * fnd(rht[x], balls[x] + carry - sz[lft[x]])) % MOD;
        tmp = (tmp * perm[carry + balls[x]][balls[x]]) % MOD;
        dp[x][carry] = (dp[x][carry] + tmp) % MOD;
    }
    for (int i = 0; i <= balls[x]; i++) {
        ll tmp;
        if (dir[x]) {
            if (sz[rht[x]] <= carry + i) continue;
            tmp = (fnd(lft[x], balls[x] - i) * fnd(rht[x], carry + i)) % MOD;
        }
        else {
            if (sz[lft[x]] <= carry + i) continue;
            tmp = (fnd(lft[x], carry + i) * fnd(rht[x], balls[x] - i)) % MOD;
        }
        tmp = (tmp * perm[balls[x]][balls[x] - i]) % MOD;
        tmp = (tmp * perm[carry + i][i]) % MOD;
        dp[x][carry] = (dp[x][carry] + tmp) % MOD;
    }
    //cout<<x<<' '<<carry<<'?'<<sz[x]<<':'<<dp[x][carry]<<endl;
    return dp[x][carry];
}
int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);
    cin>>n>>k;
    for (int i = 0; i < 4069; i++) {
        perm[i][0] = 1;
        for (int j = 1; j <= i; j++) {
            perm[i][j] = (perm[i-1][j-1] * i) % MOD;
        }
    }
    for (int i = 0; i < k; i++) {
        int a;
        cin>>a;
        balls[a]++;
    }
    for (int i = 1; i <= n; i++) {
        cin>>lft[i]>>rht[i];
        dir[rht[i]] = true;
    }
    calsz(1);
    cout<<fnd(1, 0)<<endl;
    return 0;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 80460 KB Output is correct
2 Correct 46 ms 80484 KB Output is correct
3 Correct 49 ms 80476 KB Output is correct
4 Correct 46 ms 80400 KB Output is correct
5 Correct 44 ms 80588 KB Output is correct
6 Correct 44 ms 80588 KB Output is correct
7 Correct 43 ms 80556 KB Output is correct
8 Correct 46 ms 80512 KB Output is correct
9 Correct 56 ms 80588 KB Output is correct
10 Correct 43 ms 80588 KB Output is correct
11 Correct 44 ms 80464 KB Output is correct
12 Correct 51 ms 80504 KB Output is correct
13 Correct 52 ms 80564 KB Output is correct
14 Correct 52 ms 80596 KB Output is correct
15 Correct 57 ms 80492 KB Output is correct
16 Correct 46 ms 80480 KB Output is correct
17 Correct 45 ms 80588 KB Output is correct
18 Correct 57 ms 80476 KB Output is correct
19 Correct 52 ms 80524 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 113072 KB Output is correct
2 Correct 257 ms 128128 KB Output is correct
3 Correct 47 ms 80640 KB Output is correct
4 Correct 79 ms 113092 KB Output is correct
5 Correct 79 ms 113156 KB Output is correct
6 Correct 72 ms 113160 KB Output is correct
7 Correct 136 ms 121712 KB Output is correct
8 Correct 86 ms 114720 KB Output is correct
9 Correct 116 ms 119752 KB Output is correct
10 Correct 80 ms 115916 KB Output is correct
11 Correct 183 ms 126812 KB Output is correct
12 Correct 56 ms 80588 KB Output is correct
13 Correct 156 ms 118700 KB Output is correct
14 Correct 214 ms 123696 KB Output is correct
15 Correct 60 ms 80728 KB Output is correct
16 Correct 73 ms 112704 KB Output is correct
17 Correct 147 ms 117700 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 112672 KB Output is correct
2 Correct 61 ms 113048 KB Output is correct
3 Correct 77 ms 112664 KB Output is correct
4 Correct 66 ms 112664 KB Output is correct
5 Correct 83 ms 112728 KB Output is correct
6 Correct 66 ms 112732 KB Output is correct
7 Correct 72 ms 112640 KB Output is correct
8 Correct 64 ms 112728 KB Output is correct
9 Correct 67 ms 112720 KB Output is correct
10 Correct 76 ms 112788 KB Output is correct
11 Correct 66 ms 112656 KB Output is correct
12 Correct 66 ms 113240 KB Output is correct
13 Correct 57 ms 112868 KB Output is correct
14 Correct 76 ms 112640 KB Output is correct
15 Correct 66 ms 112644 KB Output is correct
16 Correct 74 ms 112684 KB Output is correct
17 Correct 64 ms 112688 KB Output is correct
18 Correct 61 ms 112796 KB Output is correct
19 Correct 65 ms 112788 KB Output is correct
20 Correct 75 ms 96504 KB Output is correct
21 Correct 72 ms 111052 KB Output is correct
22 Correct 63 ms 112472 KB Output is correct
23 Correct 73 ms 111840 KB Output is correct
24 Correct 71 ms 112592 KB Output is correct
25 Correct 70 ms 109344 KB Output is correct
26 Correct 83 ms 112476 KB Output is correct
27 Correct 73 ms 111148 KB Output is correct
28 Correct 66 ms 112132 KB Output is correct

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 80460 KB Output is correct
2 Correct 46 ms 80484 KB Output is correct
3 Correct 49 ms 80476 KB Output is correct
4 Correct 46 ms 80400 KB Output is correct
5 Correct 44 ms 80588 KB Output is correct
6 Correct 44 ms 80588 KB Output is correct
7 Correct 43 ms 80556 KB Output is correct
8 Correct 46 ms 80512 KB Output is correct
9 Correct 56 ms 80588 KB Output is correct
10 Correct 43 ms 80588 KB Output is correct
11 Correct 44 ms 80464 KB Output is correct
12 Correct 51 ms 80504 KB Output is correct
13 Correct 52 ms 80564 KB Output is correct
14 Correct 52 ms 80596 KB Output is correct
15 Correct 57 ms 80492 KB Output is correct
16 Correct 46 ms 80480 KB Output is correct
17 Correct 45 ms 80588 KB Output is correct
18 Correct 57 ms 80476 KB Output is correct
19 Correct 52 ms 80524 KB Output is correct
20 Correct 76 ms 113072 KB Output is correct
21 Correct 257 ms 128128 KB Output is correct
22 Correct 47 ms 80640 KB Output is correct
23 Correct 79 ms 113092 KB Output is correct
24 Correct 79 ms 113156 KB Output is correct
25 Correct 72 ms 113160 KB Output is correct
26 Correct 136 ms 121712 KB Output is correct
27 Correct 86 ms 114720 KB Output is correct
28 Correct 116 ms 119752 KB Output is correct
29 Correct 80 ms 115916 KB Output is correct
30 Correct 183 ms 126812 KB Output is correct
31 Correct 56 ms 80588 KB Output is correct
32 Correct 156 ms 118700 KB Output is correct
33 Correct 214 ms 123696 KB Output is correct
34 Correct 60 ms 80728 KB Output is correct
35 Correct 73 ms 112704 KB Output is correct
36 Correct 147 ms 117700 KB Output is correct
37 Correct 68 ms 112672 KB Output is correct
38 Correct 61 ms 113048 KB Output is correct
39 Correct 77 ms 112664 KB Output is correct
40 Correct 66 ms 112664 KB Output is correct
41 Correct 83 ms 112728 KB Output is correct
42 Correct 66 ms 112732 KB Output is correct
43 Correct 72 ms 112640 KB Output is correct
44 Correct 64 ms 112728 KB Output is correct
45 Correct 67 ms 112720 KB Output is correct
46 Correct 76 ms 112788 KB Output is correct
47 Correct 66 ms 112656 KB Output is correct
48 Correct 66 ms 113240 KB Output is correct
49 Correct 57 ms 112868 KB Output is correct
50 Correct 76 ms 112640 KB Output is correct
51 Correct 66 ms 112644 KB Output is correct
52 Correct 74 ms 112684 KB Output is correct
53 Correct 64 ms 112688 KB Output is correct
54 Correct 61 ms 112796 KB Output is correct
55 Correct 65 ms 112788 KB Output is correct
56 Correct 75 ms 96504 KB Output is correct
57 Correct 72 ms 111052 KB Output is correct
58 Correct 63 ms 112472 KB Output is correct
59 Correct 73 ms 111840 KB Output is correct
60 Correct 71 ms 112592 KB Output is correct
61 Correct 70 ms 109344 KB Output is correct
62 Correct 83 ms 112476 KB Output is correct
63 Correct 73 ms 111148 KB Output is correct
64 Correct 66 ms 112132 KB Output is correct
65 Correct 78 ms 109540 KB Output is correct
66 Correct 76 ms 112704 KB Output is correct
67 Correct 82 ms 110412 KB Output is correct
68 Correct 64 ms 112652 KB Output is correct
69 Correct 87 ms 113024 KB Output is correct
70 Correct 68 ms 112988 KB Output is correct
71 Correct 67 ms 112876 KB Output is correct
72 Correct 88 ms 112988 KB Output is correct
73 Correct 63 ms 112704 KB Output is correct
74 Correct 60 ms 112764 KB Output is correct
75 Correct 78 ms 112736 KB Output is correct
76 Correct 67 ms 110528 KB Output is correct
77 Correct 59 ms 110584 KB Output is correct
78 Correct 61 ms 113044 KB Output is correct
79 Correct 230 ms 129100 KB Output is correct
80 Correct 66 ms 113076 KB Output is correct
81 Correct 76 ms 110568 KB Output is correct
82 Correct 61 ms 112780 KB Output is correct
83 Correct 64 ms 112768 KB Output is correct
84 Correct 64 ms 80476 KB Output is correct
85 Correct 80 ms 112720 KB Output is correct
86 Correct 71 ms 112724 KB Output is correct
87 Correct 83 ms 112684 KB Output is correct
88 Correct 80 ms 112680 KB Output is correct
89 Correct 71 ms 112724 KB Output is correct
90 Correct 76 ms 112700 KB Output is correct
91 Correct 67 ms 112740 KB Output is correct
92 Correct 61 ms 112784 KB Output is correct
93 Correct 76 ms 112788 KB Output is correct
94 Correct 74 ms 113612 KB Output is correct
95 Correct 78 ms 113656 KB Output is correct
96 Correct 64 ms 112696 KB Output is correct
97 Correct 70 ms 112716 KB Output is correct
98 Correct 80 ms 112728 KB Output is correct
99 Correct 75 ms 112672 KB Output is correct
100 Correct 66 ms 112772 KB Output is correct
101 Correct 73 ms 112816 KB Output is correct
102 Correct 59 ms 99680 KB Output is correct
103 Correct 70 ms 110576 KB Output is correct
104 Correct 67 ms 111368 KB Output is correct