We start with a string s consisting only of the digits 1, 2, or 3. The length of s is denoted by |s|. For each i from 1 to |s|, the i-th character of s is denoted by s_i. 

There is one cursor. The cursor's location ℓ is denoted by an integer in \{0, …, |s|\}, with the following meaning: 

  * If ℓ = 0, then the cursor is located before the first character of s. 
  * If ℓ = |s|, then the cursor is located right after the last character of s. 
  * If 0 < ℓ < |s|, then the cursor is located between s_ℓ and s_{ℓ+1}. 



We denote by s_left the string to the left of the cursor and s_right the string to the right of the cursor. 

We also have a string c, which we call our clipboard, which starts out as empty. There are three types of actions:

  * The Move action. Move the cursor one step to the right. This increments ℓ once. 
  * The Cut action. Set c ← s_right, then set s ← s_left. 
  * The Paste action. Append the value of c to the end of the string s. Note that this doesn't modify c. 



The cursor initially starts at ℓ = 0. Then, we perform the following procedure:

  1. Perform the Move action once. 
  2. Perform the Cut action once. 
  3. Perform the Paste action s_ℓ times. 
  4. If ℓ = x, stop. Otherwise, return to step 1. 



You're given the initial string s and the integer x. What is the length of s when the procedure stops? Since this value may be very large, only find it modulo 10^9 + 7. 

It is guaranteed that ℓ ≤ |s| at any time.

Input

The first line of input contains a single integer t (1 ≤ t ≤ 1000) denoting the number of test cases. The next lines contain descriptions of the test cases.

The first line of each test case contains a single integer x (1 ≤ x ≤ 10^6). The second line of each test case consists of the initial string s (1 ≤ |s| ≤ 500). It is guaranteed, that s consists of the characters "1", "2", "3".

It is guaranteed that the sum of x in a single file is at most 10^6. It is guaranteed that in each test case before the procedure will stop it will be true that ℓ ≤ |s| at any time.

Output

For each test case, output a single line containing a single integer denoting the answer for that test case modulo 10^9 + 7. 

Example

Input


4
5
231
7
2323
6
333
24
133321333


Output


25
1438
1101
686531475

Note

Let's illustrate what happens with the first test case. Initially, we have s =  231. Initially, ℓ = 0 and c = \varepsilon (the empty string). The following things happen if we follow the procedure above:

  * Step 1, Move once: we get ℓ = 1. 
  * Step 2, Cut once: we get s =  2 and c =  31. 
  * Step 3, Paste s_ℓ =  2 times: we get s =  23131. 
  * Step 4: ℓ = 1 not= x = 5, so we return to step 1. 

  * Step 1, Move once: we get ℓ = 2. 
  * Step 2, Cut once: we get s =  23 and c =  131. 
  * Step 3, Paste s_ℓ =  3 times: we get s =  23131131131. 
  * Step 4: ℓ = 2 not= x = 5, so we return to step 1. 

  * Step 1, Move once: we get ℓ = 3. 
  * Step 2, Cut once: we get s =  231 and c =  31131131. 
  * Step 3, Paste s_ℓ =  1 time: we get s =  23131131131. 
  * Step 4: ℓ = 3 not= x = 5, so we return to step 1. 

  * Step 1, Move once: we get ℓ = 4. 
  * Step 2, Cut once: we get s =  2313 and c =  1131131. 
  * Step 3, Paste s_ℓ =  3 times: we get s =  2313113113111311311131131. 
  * Step 4: ℓ = 4 not= x = 5, so we return to step 1. 

  * Step 1, Move once: we get ℓ = 5. 
  * Step 2, Cut once: we get s =  23131 and c =  13113111311311131131. 
  * Step 3, Paste s_ℓ =  1 times: we get s =  2313113113111311311131131. 
  * Step 4: ℓ = 5 = x, so we stop. 



At the end of the procedure, s has length 25. 
#!/usr/bin/env python
from __future__ import division, print_function

import os
import sys
from io import BytesIO, IOBase

if sys.version_info[0] < 3:
    from __builtin__ import xrange as range
    from future_builtins import ascii, filter, hex, map, oct, zip


def main():
    t = int(input())

    for _ in range(t):
        x = int(input())
        s = [int(c) for c in input()]

        e = [0] * x
        for i in range(min(len(s), x)):
            e[i] = s[i]

        f = min(len(s), x)
        for c in range(x):
            if f == x:
                break
            l = f - c - 1
            for i in range(f, min(x, f + l * (e[c] - 1))):
                e[i] = e[c + ((i - f) % l) + 1]
            f = min(x, f + l * (e[c] - 1))

        l = len(s)
        for i, j in enumerate(e):
            l = (l + (l - i - 1) * (j - 1)) % 1000000007
        print(l)


# region fastio

BUFSIZE = 8192


class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")


def print(*args, **kwargs):
    """Prints the values to a stream, or to sys.stdout by default."""
    sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout)
    at_start = True
    for x in args:
        if not at_start:
            file.write(sep)
        file.write(str(x))
        at_start = False
    file.write(kwargs.pop("end", "\n"))
    if kwargs.pop("flush", False):
        file.flush()


if sys.version_info[0] < 3:
    sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout)
else:
    sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)

input = lambda: sys.stdin.readline().rstrip("\r\n")

# endregion

if __name__ == "__main__":
    main()
