$ cat /bin/wtf
man $2
$ wtf is man
MAN(1)

1   --> 1
2   --> 2
...
12  --> 1
42  --> 4
100 --> 1
300 --> 8

def dj(n):
    s=list(range(10))
    while len(s)<=n:s+=[int(d)for d in str(len(s))]
    return s[n]

n=int(input())
l=[]
while((d=len(l))<=n)l+=list(str(d))
print(l[n])

def f(n):
  x = 1
  y = 1
  z = 1
  while z <= n:
    while x % z > 0: x += y
    y = x
    z += 1
  return x

10 9 1 1 10 5.0
10 9 1 2 20 5.0
10 9 1 3 30 5.0
10 9 1 4 40 5.0
10 9 1 5 50 5.0
10 9 1 6 60 5.0
10 9 1 7 70 5.0
10 9 1 8 80 5.0
10 9 1 9 90 5.0
10 9 1 0 90 5.0
90 8 90 90 90 5.0
90 8 82 82 90 5.0
90 8 74 74 90 5.0
90 8 66 66 90 5.0
90 8 58 58 90 5.0
90 8 50 50 90 5.0
90 8 42 42 90 5.0
90 8 34 34 90 5.0
90 8 26 26 90 5.0
90 8 18 18 90 5.0
90 8 10 10 90 5.0
90 8 2 2 90 5.0
90 8 2 4 180 5.0
90 8 2 6 270 5.0
90 8 2 8 360 5.0
90 8 2 0 360 5.0
360 7 360 360 360 5.0
360 7 353 353 360 5.0
360 7 346 346 360 5.0

def lcmorial(n):
  def mod(n, m):
    while n >= m: n -= m
    return n
  x = 1
  y = 1
  z = 1
  while z <= n:
    while mod(x, z) > 0: x += y
    y = x
    z += 1
  return x

mod = lambda n, m: mod(n - m, m) if m <= n else n
lcmorial = lambda n, x = 1, y = 1, z = 1: (lcmorial(n, x + y, y, z) if 1 <= mod(x, z) else lcmorial(n, x, x, z + 1)) if z <= n else x

1: 1
2: 2
3: 6
4: 12
5: 60
6: 60
7: 420
8: 840
9: 2520
10: 2520

1
2
4
6
12
24
36
48
60
120
180
240
300
360
420
840
1680
2520

10
20
30
40
50
60
70
80
90
180
270
360
720
1080
1440
1800
2160
2520