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30 changes: 30 additions & 0 deletions CHEFINSQ.py
Original file line number Diff line number Diff line change
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#function to call recursive function and return the final solution to it's caller function
def count_sets_dp(arr,total,n,k):
mem={}
return dp(arr,total,n-1,mem,k)

#recursive and dynamic programming function to generate subsequences and find the eligible subsequence
def dp(arr,total,i,mem,k):
key=str(total)+':'+str(k)+':'+str(i)
if key in mem:
return mem[key]
if total==0 and k==0:
return 1
elif total<0 or k<0:
return 0
elif i<0:
return 0
elif total<arr[i]:
to_return=dp(arr,total,i-1,mem,k)
else:
to_return=(dp(arr,total-arr[i],i-1,mem,k-1)+dp(arr,total,i-1,mem,k))
mem[key]=to_return
return to_return
#loop through all testcases and call the count_sets_dp funtion
for t in range(int(input())):
n,k=map(int,input().split())
a=list(map(int,input().split()))
b=list(a)
b.sort()
min_sum=sum(b[:k])
print(count_sets_dp(a,min_sum,n,k))