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())

s=0
i=1
while  (s +  i * ( 9 * pow ( 10,i-1)) ) < k :
    s +=  i * (9 * pow(10, i - 1))
    i+=1
else:
    i-=1

k=k-s-1
x= k // (i+1)
y= k %(i+1)
x= pow(10,i)+x
ss=str(x)
print(ss[y])
