#include<stdio.h>
#include<algorithm>
#include<string.h>
#include<vector>
#include<math.h>
#include<stdlib.h>
using namespace std;
const int T = 1e9+7;
int Dp[2][4040][3][3];
int R,M;
int f()
{
int i,j;
for(i=0;i<=R;i++){Dp[0][i][0][2]=1-(i%2);Dp[0][i][0][1]=i%2;}
for(i=1;i<=M;i++){
Dp[1][0][0][1]=Dp[1][0][0][2]=Dp[1][0][1][0]=Dp[1][0][1][2]=Dp[1][0][2][0]=Dp[1][0][2][1]=0;
if(i%3==0)Dp[1][0][0][2]=1;
else if(i%3==1)Dp[1][0][2][1]=1;
else Dp[1][0][1][0]=1;
for(j=1;j<=R;j++){
Dp[1][j][0][1]=(Dp[1][j-1][0][2]+Dp[0][j][2][0])%T;
Dp[1][j][0][2]=(Dp[1][j-1][0][1]+Dp[0][j][1][0])%T;
Dp[1][j][1][0]=(Dp[1][j-1][1][2]+Dp[0][j][2][1])%T;
Dp[1][j][1][2]=(Dp[1][j-1][1][0]+Dp[0][j][0][1])%T;
Dp[1][j][2][0]=(Dp[1][j-1][2][1]+Dp[0][j][1][2])%T;
Dp[1][j][2][1]=(Dp[1][j-1][2][0]+Dp[0][j][0][2])%T;
}
for(j=0;j<=R;j++){
Dp[0][j][0][1]=Dp[1][j][0][1];
Dp[0][j][0][2]=Dp[1][j][0][2];
Dp[0][j][1][0]=Dp[1][j][1][0];
Dp[0][j][1][2]=Dp[1][j][1][2];
Dp[0][j][2][0]=Dp[1][j][2][0];
Dp[0][j][2][1]=Dp[1][j][2][1];
}
}
}
int read(int x)
{
return (Dp[0][R][x][0]+Dp[0][R][x][1]+Dp[0][R][x][2])%T;
}
int tmp[2][4020],l,r;
int nCr()
{
int i,j;
tmp[0][0]=1;
for(i=1;i<=l+r;i++){
tmp[1][0]=1;
for(j=1;j<=i;j++){
tmp[1][j]=(tmp[0][j]+tmp[0][j-1])%T;
}
for(j=0;j<=i;j++)tmp[0][j]=tmp[1][j];
}
return tmp[0][l];
}
int main()
{
scanf("%d%d%d",&l,&r,&M);
R=l+r;
f();
int C = nCr();
for(int i=2;i>=0;i--){
int t=read(i);
printf("%d\n",((long long)t*C)%T);
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
1404 KB |
Output is correct |
2 |
Correct |
0 ms |
1404 KB |
Output is correct |
3 |
Correct |
0 ms |
1404 KB |
Output is correct |
4 |
Correct |
0 ms |
1404 KB |
Output is correct |
5 |
Correct |
0 ms |
1404 KB |
Output is correct |
6 |
Correct |
8 ms |
1404 KB |
Output is correct |
7 |
Correct |
0 ms |
1404 KB |
Output is correct |
8 |
Correct |
0 ms |
1404 KB |
Output is correct |
9 |
Correct |
8 ms |
1404 KB |
Output is correct |
10 |
Correct |
180 ms |
1404 KB |
Output is correct |
11 |
Correct |
100 ms |
1404 KB |
Output is correct |
12 |
Correct |
60 ms |
1404 KB |
Output is correct |
13 |
Correct |
16 ms |
1404 KB |
Output is correct |
14 |
Correct |
48 ms |
1404 KB |
Output is correct |
15 |
Correct |
48 ms |
1404 KB |
Output is correct |
16 |
Correct |
16 ms |
1404 KB |
Output is correct |
17 |
Correct |
56 ms |
1404 KB |
Output is correct |
18 |
Correct |
56 ms |
1404 KB |
Output is correct |
19 |
Correct |
20 ms |
1404 KB |
Output is correct |
20 |
Correct |
28 ms |
1404 KB |
Output is correct |