Koa the Koala has a binary string $s$ of length $n$. Koa can perform no more than $n-1$ (possibly zero) operations of the following form:

In one operation Koa selects positions $i$ and $i+1$ for some $i$ with $1 \le i < |s|$ and sets $s_i$ to $max(s_i, s_{i+1})$. Then Koa deletes position $i+1$ from $s$ (after the removal, the remaining parts are concatenated).

Note that after every operation the length of $s$ decreases by $1$.

How many different binary strings can Koa obtain by doing no more than $n-1$ (possibly zero) operations modulo $10^9+7$ ($1000000007$)?


-----Input-----

The only line of input contains binary string $s$ ($1 \le |s| \le 10^6$). For all $i$ ($1 \le i \le |s|$) $s_i = 0$ or $s_i = 1$.


-----Output-----

On a single line print the answer to the problem modulo $10^9+7$ ($1000000007$).


-----Examples-----
Input
000

Output
3

Input
0101

Output
6

Input
0001111

Output
16

Input
00101100011100

Output
477



-----Note-----

In the first sample Koa can obtain binary strings: $0$, $00$ and $000$.

In the second sample Koa can obtain binary strings: $1$, $01$, $11$, $011$, $101$ and $0101$. For example:  to obtain $01$ from $0101$ Koa can operate as follows: $0101 \rightarrow 0(10)1 \rightarrow 011 \rightarrow 0(11) \rightarrow 01$.  to obtain $11$ from $0101$ Koa can operate as follows: $0101 \rightarrow (01)01 \rightarrow 101 \rightarrow 1(01) \rightarrow 11$. 

Parentheses denote the two positions Koa selected in each operation.

```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 = "import sys\nreadline = sys.stdin.readline\n\nMOD = 10**9+7\nS = readline().strip().split('1')\nif len(S) == 1:\n    print(len(S[0]))\nelse:\n    S = [len(s)+1 for s in S]\n    ans = S[0]*S[-1]\n    S = S[1:-1]\n    \n    dp = [0]*(max(S)+2)\n    dp[0] = 1\n    for ai in S:\n        res = 0\n        rz = 0\n        for i in range(ai+1):\n            res = (res + dp[i])%MOD\n            rz = (rz + (ai-i)*dp[i])%MOD\n            dp[i] = 0\n        dp[0] = rz\n        dp[ai] = res\n    aaa = 0\n    for d in dp:\n        aaa = (aaa+d)%MOD\n    print(aaa*ans%MOD)\n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13349