<SYSTEM_TASK:>
Given the following text description, write Python code to implement the functionality described.
<END_TASK>
<USER_TASK:>
Description:
Segmented Sieve
Python3 program to print all primes smaller than n , using segmented sieve ; This method finds all primes smaller than ' limit ' using simple sieve of eratosthenes . It also stores found primes in list prime ; Create a boolean list " mark [ 0 . . n - 1 ] " and initialize all entries of it as True . A value in mark [ p ] will finally be False if ' p ' is Not a prime , else True . ; If p is not changed , then it is a prime ; Update all multiples of p ; Print all prime numbers and store them in prime ; Prints all prime numbers smaller than 'n ; Compute all primes smaller than or equal to square root of n using simple sieve ; Divide the range [ 0. . n - 1 ] in different segments We have chosen segment size as sqrt ( n ) . ; While all segments of range [ 0. . n - 1 ] are not processed , process one segment at a time ; To mark primes in current range . A value in mark [ i ] will finally be False if ' i - low ' is Not a prime , else True . ; Use the found primes by simpleSieve ( ) to find primes in current range ; Find the minimum number in [ low . . high ] that is a multiple of prime [ i ] ( divisible by prime [ i ] ) For example , if low is 31 and prime [ i ] is 3 , we start with 33. ; Mark multiples of prime [ i ] in [ low . . high ] : We are marking j - low for j , i . e . each number in range [ low , high ] is mapped to [ 0 , high - low ] so if range is [ 50 , 100 ] marking 50 corresponds to marking 0 , marking 51 corresponds to 1 and so on . In this way we need to allocate space only for range ; Numbers which are not marked as False are prime ; Update low and high for next segment ; Driver Code

<ASSISTANT_TASK:>
Python Code:
import math 
 prime =[] 
 def simpleSieve(limit ) : 
	 mark =[True for i in range(limit + 1 ) ] 
 p = 2 
 while(p * p <= limit ) : 
	 if(mark[p ] == True ) : 
	 for i in range(p * p , limit + 1 , p ) : 
	 mark[i ] = False 
   p += 1 
  for p in range(2 , limit ) : 
	 if mark[p ] : 
	 prime . append(p ) 
 print(p , end = "▁ ") 
    ' 
 def segmentedSieve(n ) : 
	 limit = int(math . floor(math . sqrt(n ) ) + 1 ) 
 simpleSieve(limit ) 
 low = limit 
 high = limit * 2 
 while low < n : 
	 if high >= n : 
	 high = n 
  mark =[True for i in range(limit + 1 ) ] 
 for i in range(len(prime ) ) : 
	 loLim = int(math . floor(low / prime[i ] ) * prime[i ] ) 
 if loLim < low : 
	 loLim += prime[i ] 
  for j in range(loLim , high , prime[i ] ) : 
	 mark[j - low ] = False 
   for i in range(low , high ) : 
	 if mark[i - low ] : 
	 print(i , end = "▁ ") 
   low = low + limit 
 high = high + limit 
   n = 100 
 print("Primes ▁ smaller ▁ than ", n , ": ") 
 segmentedSieve(100 ) 

<END_TASK>
