Given a positive integer n, find the number of non-negative integers less than or equal to n, whose binary representations do NOT contain consecutive ones.

Example 1:

Input: 5
Output: 5
Explanation: 
Here are the non-negative integers 


Note:
1 9

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

def _disabled_input(*args, **kwargs):
    raise RuntimeError("input() is disabled in callable mode")
builtins.input = _disabled_input

ns = {"__name__": "__judge__"}  # prevent if __name__ == "__main__" blocks
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'class Solution(object):\n     def findIntegers(self, num):\n         """\n         :type num: int\n         :rtype: int\n         """\n         # A[0] is the lowest bit, A[-1] is the highest bit\n         A = bin(num)[2:][::-1]\n         # dp[i][0] is the number of integers with (i+1)bits, highest bit is 0 and without consecutive ones\n         # dp[i][1] is the number of integers with (i+1)bits, highest bit is 1 and without consecutive ones\n         dp = [[1,1] for _ in range(len(A))]\n         # res is the number of integers less than A[:i] without consecutive ones.\n         res = 1 if A[0] == \'0\' else 2\n         for i in range(1, len(A)):\n             dp[i][0] = dp[i - 1][0] + dp[i - 1][1]\n             dp[i][1] = dp[i - 1][0]\n             # try to get the number of integers less than A[:i+1]\n             if A[i - 1: i + 1] == \'01\':\n                 # if A[i-1:i+1]==\'01\', we can append \'1\' after integers less than A[:i] without consecutive ones, \n                 # also any integer with (i+1) bits, highest bit is \'0\', without consecutive ones\n                 # is less than A[:i+1]\n                 res += dp[i][0]\n             elif A[i - 1: i + 1] == \'11\':\n                 # if A[i-1:i+1]==\'11\', then any integer with i+1 bits and without consecutive ones \n                 # is less than A[:i+1]\n                 res = dp[i][0] + dp[i][1]\n             # if A[i]==\'0\', the number of integers  with i+1 bits, less than A[:i+1]  and without \n             # consecutive ones is the same as A[:i]\n         return res\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'findIntegers'
if _fn_name:
    if "Solution" in ns:
        try:
            _obj = ns["Solution"]()
            if hasattr(_obj, _fn_name):
                _target = getattr(_obj, _fn_name)
        except Exception:
            _target = None
    if _target is None and _fn_name in ns and callable(ns[_fn_name]):
        _target = ns[_fn_name]
# Fallback: if there's exactly one user-defined function, use it
if _target is None:
    _cands = [v for k, v in ns.items() if callable(v) and getattr(v, "__module__", "") in ("__judge__", "__main__")]
    _user_funcs = [c for c in _cands if getattr(c, "__name__", "").startswith("_") is False]
    if len(_user_funcs) == 1:
        _target = _user_funcs[0]
if _target is None:
    raise RuntimeError(f"Could not resolve callable '{_fn_name}'")

_raw = sys.stdin.read().strip()
if _raw:
    _parsed = json.loads(_raw)
    if isinstance(_parsed, dict):
        _kwargs = _parsed.get("kwargs", {})
        _args = _parsed.get("args", [])
    else:
        _args, _kwargs = _parsed, {}
else:
    _args, _kwargs = [], {}
if not isinstance(_args, (list, tuple)):
    _args = [_args]
_res = _target(*_args, **_kwargs)
try:
    sys.stdout.write(repr(_res) + "\n")
except Exception:
    pass

```

Measured memory_bytes: 5894