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())
if k<=9:
    print(k)
elif k<=189:
    k-=9
    tem = int((k+1)//2) + 9
    if k%2==0:
        print(int(tem%10))
    elif k%2==1:
        print(int(tem//10))
elif k<=2889:
    k-=189
    tem = int((k+2)//3)+99
    if k%3==0:
        print(tem%10)
    elif k%3==1:
        print(int(tem/100))
    elif k%3==2:
        tem = int(tem/10)
        print(tem%10)
else:
    k-=2889
    tem = int((k+3)//4)+999
    if k%4==0:
        print(tem%10)
    elif k%4==1:
        print(int(tem/1000))
    elif k%4==2:
        tem = int(tem/100)
        print(tem%10)
    elif k%4==3:
        tem = int(tem/10)
        print(tem%10)
