A binary gap within a positive integer N is any maximal sequence of consecutive zeros that is surrounded by ones at both ends in the binary representation of N.
For example, number 9 has binary representation 1001 and contains a binary gap of length 2. The number 529 has binary representation 1000010001 and contains two binary gaps: one of length 4 and one of length 3. The number 20 has binary representation 10100 and contains one binary gap of length 1. The number 15 has binary representation 1111 and has no binary gaps. The number 32 has binary representation 100000 and has no binary gaps.
Write a function:
def solution(N)
that, given a positive integer N, returns the length of its longest binary gap. The function should return 0 if N doesn't contain a binary gap.
For example, given N = 1041 the function should return 5, because N has binary representation 10000010001 and so its longest binary gap is of length 5. Given N = 32 the function should return 0, because N has binary representation '100000' and thus no binary gaps.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..2,147,483,647].
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
bin_N =
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b_gap = max([len(x)])
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b_gap = max([len(x) for x in b.split()])
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b_gap = max([len(x) for x in b.split('1')])
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b_gap = max([len(x) for x in b.split('1')])
return
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b_gap = max([len(x) for x in b.split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b_gap = max([len(x) for x in b.split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
10001000001
1111
000001
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b_gap = max([len(x) for x in b.stsplit('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b
10001000001
1111
000001
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
10000010001
1111
100000
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
10000010001
1111
100000
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
print(b)
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print(b)
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print('Invalid')
print(b)
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print('Invalid input')
print(b)
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print('Invalid input')
print(b)
if isinstance(b, str)
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print('Invalid input')
print(b)
if isinstance(b, str)
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
example test n=1041=10000010001_2
tested program terminated with exit code 1
Traceback (most recent call last): File "exec.py", line 123, in <module> main() File "exec.py", line 64, in main sol = __import__('solution') File "/tmp/solution.py", line 10 if isinstance(b, str) ^ SyntaxError: invalid syntax
Traceback (most recent call last): File "exec.py", line 123, in <module> main() File "exec.py", line 64, in main sol = __import__('solution') File "/tmp/solution.py", line 10 if isinstance(b, str) ^ SyntaxError: invalid syntax
Traceback (most recent call last): File "exec.py", line 123, in <module> main() File "exec.py", line 64, in main sol = __import__('solution') File "/tmp/solution.py", line 10 if isinstance(b, str) ^ SyntaxError: invalid syntax
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print('Invalid input')
print(b)
if isinstance(b, str):
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
10000010001
1111
100000
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print('Invalid input')
prin
if isinstance(b, str):
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print('Invalid input')
#print(b)
if isinstance(b, str):
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print('Invalid input')
#print(b)
if isinstance(b, str):
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print('Invalid input')
#print(b)
if isinstance(b, str):
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print('Invalid input')
if isinstance(b, str):
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print('Invalid input')
if isinstance(b, str):
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print('Invalid input')
if isinstance(b, str):
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
# write your code in Python 3.6
b = get_binary(N)
if b==-1:
print('Invalid input')
if isinstance(b, str):
b_gap = max([len(x) for x in b.strip('0').split('1')])
return b_gap
def get_binary(N):
if not isinstance(N, int):
return -1
if N==0:
return '0'
r = 0
q = N
b = ''
while q!=1:
r = q%2
b += str(r)
q = q//2
b += str(q)
return b[::-1]
The solution obtained perfect score.