[LeetCode]#1356. Sort Integers by The Number of 1 Bits

Fatboy Slim
2 min readJan 13, 2021

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Environment: Python 3.8

Key technique: bin(), lambda

Given an integer array arr. You have to sort the integers in the array in ascending order by the number of 1's in their binary representation and in case of two or more integers have the same number of 1's you have to sort them in ascending order.

Return the sorted array.

Example 1:

Input: arr = [0,1,2,3,4,5,6,7,8]
Output: [0,1,2,4,8,3,5,6,7]
Explantion: [0] is the only integer with 0 bits.
[1,2,4,8] all have 1 bit.
[3,5,6] have 2 bits.
[7] has 3 bits.
The sorted array by bits is [0,1,2,4,8,3,5,6,7]

Example 2:

Input: arr = [1024,512,256,128,64,32,16,8,4,2,1]
Output: [1,2,4,8,16,32,64,128,256,512,1024]
Explantion: All integers have 1 bit in the binary representation, you should just sort them in ascending order.

Example 3:

Input: arr = [10000,10000]
Output: [10000,10000]

Example 4:

Input: arr = [2,3,5,7,11,13,17,19]
Output: [2,3,5,17,7,11,13,19]

Example 5:

Input: arr = [10,100,1000,10000]
Output: [10,100,10000,1000]

Analysis:

  1. Convert arr to bit format.
  2. count(‘1') in each arr
  3. sort it by step 2 red mark value
  4. return blue mark value

Solution:

class Solution:
def sortByBits(self, arr):
d=[]
for i in sorted(arr):
d.append((i,bin(i).count('1')))
sd = sorted(d, key=lambda i: i[1])ans=[]
for i in sd:
ans.append(i[0])
return ans

Submissions:

Reference:

  1. https://leetcode.com/problems/sort-integers-by-the-number-of-1-bits/discuss/991454/Python%3A-99-Faster-Using-Tuples
  2. https://blog.csdn.net/u010758410/article/details/79737498

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Fatboy Slim
Fatboy Slim

Written by Fatboy Slim

Interesting in any computer science.

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