From 4753900e429f7e9369314db1d2431dd65adad752 Mon Sep 17 00:00:00 2001
From: Yashyasvi Agarwal <yashyasvi.agarwal@gmail.com>
Date: Thu, 10 Oct 2019 10:45:22 +0530
Subject: [PATCH] added CHEFINSQ

added CHEFINSQ question from september long challenge 2019
---
 CHEFINSQ.py | 30 ++++++++++++++++++++++++++++++
 1 file changed, 30 insertions(+)
 create mode 100644 CHEFINSQ.py

diff --git a/CHEFINSQ.py b/CHEFINSQ.py
new file mode 100644
index 0000000..2d943b9
--- /dev/null
+++ b/CHEFINSQ.py
@@ -0,0 +1,30 @@
+#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))
\ No newline at end of file