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].
example test n=1041=10000010001_2
tested program terminated with exit code 1
Invalid result type, int expected, <class 'NoneType'> found.stdout:
1041
Invalid result type, int expected, <class 'NoneType'> found.stdout:
15
Invalid result type, int expected, <class 'NoneType'> found.stdout:
32
example test n=1041=10000010001_2
tested program terminated with exit code 1
Invalid result type, int expected, <class 'NoneType'> found.stdout:
0b10000010001
Invalid result type, int expected, <class 'NoneType'> found.stdout:
0b1111
Invalid result type, int expected, <class 'NoneType'> found.stdout:
0b100000
example test n=1041=10000010001_2
tested program terminated with exit code 1
Invalid result type, int expected, <class 'NoneType'> found.stdout:
<class 'str'>
Invalid result type, int expected, <class 'NoneType'> found.stdout:
<class 'str'>
Invalid result type, int expected, <class 'NoneType'> found.stdout:
<class 'str'>
example test n=1041=10000010001_2
tested program terminated with exit code 1
Invalid result type, int expected, <class 'NoneType'> found.stdout:
1 0 0 0 0 0 1 0 0 0 1
Invalid result type, int expected, <class 'NoneType'> found.stdout:
1 1 1 1
Invalid result type, int expected, <class 'NoneType'> found.stdout:
1 0 0 0 0 0
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 9 else: print("reset) ^ SyntaxError: EOL while scanning string literal
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 9 else: print("reset) ^ SyntaxError: EOL while scanning string literal
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 9 else: print("reset) ^ SyntaxError: EOL while scanning string literal
example test n=1041=10000010001_2
tested program terminated with exit code 1
Invalid result type, int expected, <class 'NoneType'> found.stdout:
reset reset reset reset reset reset reset reset reset reset reset
Invalid result type, int expected, <class 'NoneType'> found.stdout:
reset reset reset reset
Invalid result type, int expected, <class 'NoneType'> found.stdout:
reset reset reset reset reset reset
example test n=1041=10000010001_2
tested program terminated with exit code 1
Invalid result type, int expected, <class 'NoneType'> found.stdout:
reset inc inc inc inc inc reset inc inc inc reset
Invalid result type, int expected, <class 'NoneType'> found.stdout:
reset reset reset reset
Invalid result type, int expected, <class 'NoneType'> found.stdout:
reset inc inc inc inc inc
example test n=1041=10000010001_2
tested program terminated with exit code 1
Invalid result type, int expected, <class 'NoneType'> found.
Invalid result type, int expected, <class 'NoneType'> found.
Invalid result type, int expected, <class 'NoneType'> found.
10000010001
1111
100000
10000010001
1111
100000
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 11 else if i == '1': ^ 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 11 else if i == '1': ^ 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 11 else if i == '1': ^ SyntaxError: invalid syntax
10000010001
1111
100000
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
maxx =0
cnt =0
print(bin(N)[2:])
for i in bin(N)[2:]:
if i == '0':
cnt = cnt +1
elif i == '1':
if cnt > maxx: maxx=cnt
cnt = 0
return maxx
[2]
10000010001
1111
100000
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
maxx =0
cnt =0
print(bin(N)[2:])
for i in bin(N)[2:]:
if i == '0':
cnt = cnt +1
elif i == '1':
if cnt > maxx: maxx=cnt
cnt = 0
return maxx
[3]
10000010001
1111
100000
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(N):
maxx =0
cnt =0
for i in bin(N)[2:]:
if i == '0':
cnt = cnt +1
elif i == '1':
if cnt > maxx: maxx=cnt
cnt = 0
return maxx
[3]
The solution obtained perfect score.