Let's write all the positive integer numbers one after another from 1 without any delimiters (i.e. as a single string). It will be the infinite sequence starting with 123456789101112131415161718192021222324252627282930313233343536...

Your task is to print the k-th digit of this sequence.

Input

The first and only line contains integer k (1 ≤ k ≤ 10000) — the position to process (1-based index).

Output

Print the k-th digit of the resulting infinite sequence.

Examples

Input


7


Output


7


Input


21


Output


5
k = int(input())
k_=k
ca = 9
di = 1
tem = 9
while k_>0:
    k_-=ca*di
    ca*=10
    di+=1
    tem += ca*di
    if k_==0:
        break
tem -= ca*di
ca=int(ca/10)
di-=1
tem -= ca*di
ca=int(ca/10)
ca_=0
while ca>0:
    ca_+=ca
    ca= int(ca/10)
k -= tem
re = int((k+di-1)//di)+ca_
re_= k%di
if re_==0:
    l=1
else:
    l = 10**(di-re_)
re = int(re//l)
print(re%10)

