algorithm-in-python/math/numberTheory/hammingDistance.py

61 lines
1.7 KiB
Python

#coding: utf-8
''' mbinary
#######################################################################
# File : hammingDistance.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Github: https://github.com/mbinary
# Created Time: 2018-12-17 17:36
# Description:
hamming distance is the number of different position (or binary bit for number) of two strings.
eg 'abac', 'ab': 2 1010,11 : 3
#######################################################################
'''
def hammingDistance(a,b):
if isinstance(a,int):
n = a^b
ct = 0
while n:
ct+=n%2
n>>=1
return ct
else:
n,m = len(a),len(b)
ret = 0
for i,j in zip(a,b):
ret+= i==j
return ret+abs(n-m)
def totalHammingDistance(lst):
'''return sum of any two items(num or lst( str)) in lst'''
length = len(lst)
if length ==0:return 0
if isinstance(lst[0],int):
bits = [0] * len(bin(max(lst)))
for n in lst:
ct = 0
while n:
if n%2==1:
bits[ct]+=1
ct+=1
n>>=1
return sum(i*(length-i) for i in bits)
else:
mx = len(max(lst,key=len))
position = [dict() for i in range(mx)]
for li in lst:
for i,x in enumerate(li):
if x in position[i]:
position[i][x] +=1
else:
position[i][x] =1
ret = 0
for dic in position:
left = length
for i in dic.values():
ret+=i*(left-i) # key step
left -=i # key step
return ret