You are given a binary string $s$ (recall that a string is binary if each character is either $0$ or $1$).

Let $f(t)$ be the decimal representation of integer $t$ written in binary form (possibly with leading zeroes). For example $f(011) = 3, f(00101) = 5, f(00001) = 1, f(10) = 2, f(000) = 0$ and $f(000100) = 4$.

The substring $s_{l}, s_{l+1}, \dots , s_{r}$ is good if $r - l + 1 = f(s_l \dots s_r)$.

For example string $s = 1011$ has $5$ good substrings: $s_1 \dots s_1 = 1$, $s_3 \dots s_3 = 1$, $s_4 \dots s_4 = 1$, $s_1 \dots s_2 = 10$ and $s_2 \dots s_4 = 011$. 

Your task is to calculate the number of good substrings of string $s$.

You have to answer $t$ independent queries.


-----Input-----

The first line contains one integer $t$ ($1 \le t \le 1000$) — the number of queries.

The only line of each query contains string $s$ ($1 \le |s| \le 2 \cdot 10^5$), consisting of only digits $0$ and $1$.

It is guaranteed that $\sum\limits_{i=1}^{t} |s_i| \le 2 \cdot 10^5$.


-----Output-----

For each query print one integer — the number of good substrings of string $s$.


-----Example-----
Input
4
0110
0101
00001000
0001000

Output
4
3
4
3

```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

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = "for _ in range(int(input())):\n    s = input()\n    q1 = ans = 0\n    for q in range(len(s)):\n        if s[q] == '0':\n            q1 += 1\n        else:\n            ans += 1+(q != len(s)-1 and s[q+1] == '0')\n            q2 = size = 1\n            for q3 in range(1, q1+1):\n                size += 1\n                if q2 == size:\n                    ans += 1\n                while q2 < size and size-q3+q < len(s):\n                    q2 *= 2\n                    q2 += ord(s[q+size-q3])-ord('0')\n                    size += 1\n                    if q2 == size:\n                        ans += 1\n            q1 = 0\n    print(ans)\n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13329