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())

mul = 1
d = 1

while k>mul*9*d:
    k-=mul*9*d
    d+=1
    mul*=10
    

x = k%d
y = k//d
y+=mul

if x==0:
    print((y-1)%10)
else:
    y = y//pow(10,d-x)
    print(y%10)
    