11668 - How Many Teams

[rushel]

can anybody please give some test cases of the following problem:

http://uva.onlinejudge.org/index.php?op ... oblem=2715

[rushel]

Thanks got AC

[tryit1]

Can you give some hints, I thought of maximum matching but it is too complicated

[ardiankp]

Hint please.. I've tried DP of configurations, but always get TLE.

[rushel]

let, a = number of departments which has 1 student, b = number of departments which has 2 students and c=number of departments which has 3 students.

Now let dp[a][c]=number of permutations
we know 1*a+2*b+3*c=N and N%K==0 so we have to make N/K groups
Suppose now we want to form a group, we can choose c1 students from departments which have 1 students, c2 students from departments which have 2 students and c3 students from departments which have 3 students such that c1+c2+c3=K.

[Khongor_SMCS]

Thanks your hint rushel.
I missed this part

Due to the limited number of seats, a department can send at most 3 members.

[tryit1]

if we do as above, don't we need to track which department has allocated student to which partition.

f(a,b,c) = f(a-x,b,c)*Bin(a,x) *Bin(b,y)*Bin(c,z) *( k!). (x+y+z=k)

[ardiankp]

I missed that part also. Thanks!