#include <algorithm>
#include <cstdio>
#include <memory.h>
using namespace std;
const int MOD = 1000000007;
int L, R, M;
int C[2][2222][3][3];
int Com[2][2222];
int main(void)
{
scanf("%d%d%d", &L, &R, &M);
C[0][0][2][0] = 1;
for (int i = 0; i <= L + R; i++) {
for (int j = 0; j <= M; j++) {
if (i == 0 && j == 0) continue;
int i1 = i & 1;
int i2 = 1 - i1;
C[i1][j][0][1] = 0;
if (j >= 1) (C[i1][j][0][1] += C[i1][j - 1][2][0]) %= MOD;
if (i >= 1) (C[i1][j][0][1] += C[i2][j][0][2]) %= MOD;
C[i1][j][0][2] = 0;
if (j >= 1) (C[i1][j][0][2] += C[i1][j - 1][1][0]) %= MOD;
if (i >= 1) (C[i1][j][0][2] += C[i2][j][0][1]) %= MOD;
C[i1][j][1][0] = 0;
if (j >= 1) (C[i1][j][1][0] += C[i1][j - 1][2][1]) %= MOD;
if (i >= 1) (C[i1][j][1][0] += C[i2][j][1][2]) %= MOD;
C[i1][j][1][2] = 0;
if (j >= 1) (C[i1][j][1][2] += C[i1][j - 1][0][1]) %= MOD;
if (i >= 1) (C[i1][j][1][2] += C[i2][j][1][0]) %= MOD;
C[i1][j][2][0] = 0;
if (j >= 1) (C[i1][j][2][0] += C[i1][j - 1][1][2]) %= MOD;
if (i >= 1) (C[i1][j][2][0] += C[i2][j][2][1]) %= MOD;
C[i1][j][2][1] = 0;
if (j >= 1) (C[i1][j][2][1] += C[i1][j - 1][0][2]) %= MOD;
if (i >= 1) (C[i1][j][2][1] += C[i2][j][2][0]) %= MOD;
}
}
for (int i = 0; i <= L + R; i++) {
int i1 = i & 1;
int i2 = 1 - i1;
Com[i1][0] = 1;
for (int j = 1; j <= min(i, L); j++) (Com[i1][j] = Com[i2][j - 1] + Com[i2][j]) %= MOD;
}
int CC = Com[(L + R) & 1][L];
long long RR = (C[(L + R) & 1][M][0][1] + C[(L + R) & 1][M][0][2]) % MOD;
(RR *= CC) %= MOD;
long long GG = (C[(L + R) & 1][M][1][0] + C[(L + R) & 1][M][1][2]) % MOD;
(GG *= CC) %= MOD;
long long BB = (C[(L + R) & 1][M][2][0] + C[(L + R) & 1][M][2][1]) % MOD;
(BB *= CC) %= MOD;
printf("%lld %lld %lld\n", RR, GG, BB);
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
1260 KB |
Output is correct |
2 |
Correct |
0 ms |
1260 KB |
Output is correct |
3 |
Correct |
0 ms |
1260 KB |
Output is correct |
4 |
Correct |
0 ms |
1260 KB |
Output is correct |
5 |
Correct |
0 ms |
1260 KB |
Output is correct |
6 |
Correct |
4 ms |
1260 KB |
Output is correct |
7 |
Correct |
0 ms |
1260 KB |
Output is correct |
8 |
Correct |
0 ms |
1260 KB |
Output is correct |
9 |
Correct |
16 ms |
1260 KB |
Output is correct |
10 |
Correct |
380 ms |
1260 KB |
Output is correct |
11 |
Correct |
220 ms |
1260 KB |
Output is correct |
12 |
Correct |
116 ms |
1260 KB |
Output is correct |
13 |
Correct |
40 ms |
1260 KB |
Output is correct |
14 |
Correct |
116 ms |
1260 KB |
Output is correct |
15 |
Correct |
112 ms |
1260 KB |
Output is correct |
16 |
Correct |
36 ms |
1260 KB |
Output is correct |
17 |
Correct |
96 ms |
1260 KB |
Output is correct |
18 |
Correct |
120 ms |
1260 KB |
Output is correct |
19 |
Correct |
44 ms |
1260 KB |
Output is correct |
20 |
Correct |
68 ms |
1260 KB |
Output is correct |