------
## 最终结论
```python
def count_possible_arrays(s: str, k: int) -> int:
    MOD = 10**9 + 7
    n = len(s)
    
    # Initialize the dp array
    dp = [0] * (n + 1)
    dp[0] = 1  # There's one way to form an empty array
    
    for i in range(1, n + 1):
        # Try to form numbers ending at position i
        for j in range(i):
            num_str = s[j:i]
            num = int(num_str)
            
            # Check if the number is valid
            if num > 0 and num <= k and (len(num_str) == 1 or num_str[0] != '0'):
                dp[i] = (dp[i] + dp[j]) % MOD
    
    return dp[n]
```