cut_the_sticks.py

"""
Problem Statement

You are given N sticks, where the length of each stick is a positive integer. A cut operation is performed on the sticks such that all of them are reduced by the length of the smallest stick.

Suppose we have six sticks of the following lengths:
5 4 4 2 2 8

Then, in one cut operation we make a cut of length 2 from each of the six sticks. For the next cut operation four sticks are left (of non-zero length), whose lengths are the following: 
3 2 2 6

The above step is repeated until no sticks are left.

Given the length of N sticks, print the number of sticks that are left before each subsequent cut operations.

Note: For each cut operation, you have to recalcuate the length of smallest sticks (excluding zero-length sticks).

Input Format 
The first line contains a single integer N. 
The next line contains N integers: a0, a1,...aN-1 separated by space, where ai represents the length of ith stick.

Output Format 
For each operation, print the number of sticks that are cut, on separate lines.

Constraints 
1 ≤ N ≤ 1000 
1 ≤ ai ≤ 1000

Sample Input #00

6
5 4 4 2 2 8
Sample Output #00

6
4
2
1
Sample Input #01

8
1 2 3 4 3 3 2 1
Sample Output #01

8
6
4
1
Explanation

Sample Case #00 :

sticks-length        length-of-cut   sticks-cut
5 4 4 2 2 8             2               6
3 2 2 _ _ 6             2               4
1 _ _ _ _ 4             1               2
_ _ _ _ _ 3             3               1
_ _ _ _ _ _           DONE            DONE
Sample Case #01

sticks-length         length-of-cut   sticks-cut
1 2 3 4 3 3 2 1         1               8
_ 1 2 3 2 2 1 _         1               6
_ _ 1 2 1 1 _ _         1               4
_ _ _ 1 _ _ _ _         1               1
_ _ _ _ _ _ _ _       DONE            DONE
"""
def cut_sticks(sticks):
	count = 0
	if sticks:
		small_stick = min(sticks)
	else:
		return
	new_sticks = []
	for element in sticks:
		count = count + 1
		new_element = element - small_stick
		if new_element != 0:
			new_sticks.append(new_element)
	print count 
	cut_sticks(new_sticks)
		
if __name__ == '__main__':
	n = int(input())
	string = raw_input()
	str_array = string.split(' ')
	sticks = map(lambda x: int(x), str_array)
	cut_sticks(sticks)