Cut the sticks

 

You are given a number of sticks of varying lengths. You will iteratively cut the sticks into smaller sticks, discarding the shortest pieces until there are none left. At each iteration you will determine the length of the shortest stick remaining, cut that length from each of the longer sticks and then discard all the pieces of that shortest length. When all the remaining sticks are the same length, they cannot be shortened so discard them.

Given the lengths of  sticks, print the number of sticks that are left before each iteration until there are none left.

Example

The shortest stick length is , so cut that length from the longer two and discard the pieces of length . Now the lengths are . Again, the shortest stick is of length , so cut that amount from the longer stick and discard those pieces. There is only one stick left, , so discard that stick. The number of sticks at each iteration are .

Function Description

Complete the cutTheSticks function in the editor below. It should return an array of integers representing the number of sticks before each cut operation is performed.

cutTheSticks has the following parameter(s):

• int arr[n]: the lengths of each stick

Returns

• int[]: the number of sticks after each iteration

Input Format

The first line contains a single integer , the size of .
The next line contains  space-separated integers, each an , where each value represents the length of the  stick.

Constraints

Sample Input 0

STDIN           Function
-----           --------
6               arr[] size n = 6
5 4 4 2 2 8     arr = [5, 4, 4, 2, 2, 8]

Sample Output 0

6
4
2
1

Explanation 0

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 Input 1

8
1 2 3 4 3 3 2 1

Sample Output 1

8
6
4
1

Explanation 1

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

#!/bin/python3
import math
import os
import random
import re
import sys
#
# Complete the 'cutTheSticks' function below.
#
# The function is expected to return an INTEGER_ARRAY.
# The function accepts INTEGER_ARRAY arr as parameter.
#
def cutTheSticks(arr):
    # Write your code here
    
    n=len(arr)
    count=""
    list1=arr
    list2=[]
    while(len(list1)!=0):
        minln=min(list1)
        list2.append(len(list1))
        while(minln in list1):
            list1.pop(list1.index(minln))
        if len(list1)!=0:
            list1=[(item-minln) for item in list1]
        print(list1)
    return list2
if __name__ == '__main__':
    fptr = open(os.environ['OUTPUT_PATH'], 'w')
    n = int(input().strip())
    arr = list(map(int, input().rstrip().split()))
    result = cutTheSticks(arr)
    fptr.write('\n'.join(map(str, result)))
    fptr.write('\n')
    fptr.close()

Compiler Message
Success
Input (stdin)
8
8 8 14 10 3 5 14 12
Expected Output
8
7
6
4
3
2