| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 559844 |
2022-05-10T17:48:41 Z |
Alexandruabcde |
NoM (RMI21_nom) |
C++14 |
|
88 ms |
59468 KB |
#include <bits/stdc++.h>
using namespace std;
constexpr int NMAX = 2005;
constexpr int MOD = 1e9 + 7;
int N, M;
int Contor[NMAX];
int CntGrup[NMAX];
void Read () {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> N >> M;
for (int i = 1; i <= 2*N; ++ i )
Contor[i%M + 1] ++;
for (int i = 1; i <= M; ++ i )
CntGrup[i] = CntGrup[i-1] + Contor[i];
}
int pow2[2*NMAX];
int fact[2*NMAX];
int Comb[2*NMAX][2*NMAX];
void Precompute () {
fact[0] = 1;
pow2[0] = 1;
for (int i = 1; i <= 2*N; ++ i ) {
fact[i] = (1LL * fact[i-1] * i) % MOD;
pow2[i] = (1LL * pow2[i-1] * 2) % MOD;
}
Comb[0][0] = 1;
for (int i = 1; i <= 2*N; ++ i ) {
Comb[i][0] = Comb[i][i] = 1;
for (int j = 1; j < i; ++ j )
Comb[i][j] = (1LL * Comb[i-1][j-1] + 1LL * Comb[i-1][j]) % MOD;
}
}
int dp[NMAX][NMAX];
void Solve () {
dp[0][0] = 1;
for (int grup = 0; grup < M; ++ grup ) {
int Total = CntGrup[grup];
for (int j = 0; j <= N && j <= Total; ++ j ) {
int pairs = (Total - j) / 2;
if (2 * pairs + j != Total) continue;
int pos_new_jum = N - pairs - j;
for (int complete = 0; complete <= j && complete <= Contor[grup+1]; ++ complete ) {
int new_jum = Contor[grup+1] - complete;
if (new_jum > pos_new_jum) continue;
int coef = 1LL * Comb[pos_new_jum][new_jum] * pow2[new_jum] % MOD;
coef = (1LL * coef * Comb[j][complete]) % MOD;
coef = (1LL * coef * fact[Contor[grup+1]]) % MOD;
dp[grup+1][j - complete + new_jum] = (dp[grup+1][j - complete + new_jum] + 1LL * coef * dp[grup][j] % MOD) % MOD;
}
}
}
cout << dp[M][0] << '\n';
}
int main()
{
Read();
Precompute();
Solve();
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
332 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
0 ms |
328 KB |
Output is correct |
| 4 |
Correct |
0 ms |
340 KB |
Output is correct |
| 5 |
Correct |
0 ms |
340 KB |
Output is correct |
| 6 |
Correct |
0 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
356 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
0 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
332 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
0 ms |
328 KB |
Output is correct |
| 4 |
Correct |
0 ms |
340 KB |
Output is correct |
| 5 |
Correct |
0 ms |
340 KB |
Output is correct |
| 6 |
Correct |
0 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
356 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
0 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
1364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 13 |
Correct |
1 ms |
852 KB |
Output is correct |
| 14 |
Correct |
1 ms |
980 KB |
Output is correct |
| 15 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 16 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 17 |
Correct |
1 ms |
980 KB |
Output is correct |
| 18 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 19 |
Correct |
1 ms |
1108 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
332 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
0 ms |
328 KB |
Output is correct |
| 4 |
Correct |
0 ms |
340 KB |
Output is correct |
| 5 |
Correct |
0 ms |
340 KB |
Output is correct |
| 6 |
Correct |
0 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
356 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
0 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
1364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 13 |
Correct |
1 ms |
852 KB |
Output is correct |
| 14 |
Correct |
1 ms |
980 KB |
Output is correct |
| 15 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 16 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 17 |
Correct |
1 ms |
980 KB |
Output is correct |
| 18 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 19 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 20 |
Correct |
2 ms |
1988 KB |
Output is correct |
| 21 |
Correct |
1 ms |
2132 KB |
Output is correct |
| 22 |
Correct |
3 ms |
4180 KB |
Output is correct |
| 23 |
Correct |
2 ms |
2772 KB |
Output is correct |
| 24 |
Correct |
3 ms |
4052 KB |
Output is correct |
| 25 |
Correct |
5 ms |
3924 KB |
Output is correct |
| 26 |
Correct |
2 ms |
2900 KB |
Output is correct |
| 27 |
Correct |
4 ms |
4820 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
332 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
0 ms |
328 KB |
Output is correct |
| 4 |
Correct |
0 ms |
340 KB |
Output is correct |
| 5 |
Correct |
0 ms |
340 KB |
Output is correct |
| 6 |
Correct |
0 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
356 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
0 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
1364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 13 |
Correct |
1 ms |
852 KB |
Output is correct |
| 14 |
Correct |
1 ms |
980 KB |
Output is correct |
| 15 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 16 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 17 |
Correct |
1 ms |
980 KB |
Output is correct |
| 18 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 19 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 20 |
Correct |
2 ms |
1988 KB |
Output is correct |
| 21 |
Correct |
1 ms |
2132 KB |
Output is correct |
| 22 |
Correct |
3 ms |
4180 KB |
Output is correct |
| 23 |
Correct |
2 ms |
2772 KB |
Output is correct |
| 24 |
Correct |
3 ms |
4052 KB |
Output is correct |
| 25 |
Correct |
5 ms |
3924 KB |
Output is correct |
| 26 |
Correct |
2 ms |
2900 KB |
Output is correct |
| 27 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 28 |
Correct |
7 ms |
8532 KB |
Output is correct |
| 29 |
Correct |
10 ms |
10708 KB |
Output is correct |
| 30 |
Correct |
12 ms |
11860 KB |
Output is correct |
| 31 |
Correct |
7 ms |
8660 KB |
Output is correct |
| 32 |
Correct |
11 ms |
11276 KB |
Output is correct |
| 33 |
Correct |
15 ms |
13524 KB |
Output is correct |
| 34 |
Correct |
22 ms |
19020 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
332 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
0 ms |
328 KB |
Output is correct |
| 4 |
Correct |
0 ms |
340 KB |
Output is correct |
| 5 |
Correct |
0 ms |
340 KB |
Output is correct |
| 6 |
Correct |
0 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
356 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
0 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
1364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 13 |
Correct |
1 ms |
852 KB |
Output is correct |
| 14 |
Correct |
1 ms |
980 KB |
Output is correct |
| 15 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 16 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 17 |
Correct |
1 ms |
980 KB |
Output is correct |
| 18 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 19 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 20 |
Correct |
2 ms |
1988 KB |
Output is correct |
| 21 |
Correct |
1 ms |
2132 KB |
Output is correct |
| 22 |
Correct |
3 ms |
4180 KB |
Output is correct |
| 23 |
Correct |
2 ms |
2772 KB |
Output is correct |
| 24 |
Correct |
3 ms |
4052 KB |
Output is correct |
| 25 |
Correct |
5 ms |
3924 KB |
Output is correct |
| 26 |
Correct |
2 ms |
2900 KB |
Output is correct |
| 27 |
Correct |
4 ms |
4820 KB |
Output is correct |
| 28 |
Correct |
7 ms |
8532 KB |
Output is correct |
| 29 |
Correct |
10 ms |
10708 KB |
Output is correct |
| 30 |
Correct |
12 ms |
11860 KB |
Output is correct |
| 31 |
Correct |
7 ms |
8660 KB |
Output is correct |
| 32 |
Correct |
11 ms |
11276 KB |
Output is correct |
| 33 |
Correct |
15 ms |
13524 KB |
Output is correct |
| 34 |
Correct |
22 ms |
19020 KB |
Output is correct |
| 35 |
Correct |
36 ms |
34036 KB |
Output is correct |
| 36 |
Correct |
71 ms |
50352 KB |
Output is correct |
| 37 |
Correct |
34 ms |
33356 KB |
Output is correct |
| 38 |
Correct |
50 ms |
40204 KB |
Output is correct |
| 39 |
Correct |
55 ms |
42572 KB |
Output is correct |
| 40 |
Correct |
88 ms |
59468 KB |
Output is correct |
