human
Solve in Python:
A program was supposed to print an array of integers. The program forgot to print whitespaces and the array is printed as a string of digits and all we know is that all integers in the array were in the range [1, k] and there are no leading zeros in the array.
Given the string s and the integer k. There can be multiple ways to restore the array.
Return the number of possible array that can be printed as a string s using the mentioned program.
The number of ways could be very large so return it modulo 10^9 + 7
 
Example 1:
Input: s = "1000", k = 10000
Output: 1
Explanation: The only possible array is [1000]

Example 2:
Input: s = "1000", k = 10
Output: 0
Explanation: There cannot be an array that was printed this way and has all integer >= 1 and <= 10.

Example 3:
Input: s = "1317", k = 2000
Output: 8
Explanation: Possible arrays are [1317],[131,7],[13,17],[1,317],[13,1,7],[1,31,7],[1,3,17],[1,3,1,7]

Example 4:
Input: s = "2020", k = 30
Output: 1
Explanation: The only possible array is [20,20]. [2020] is invalid because 2020 > 30. [2,020] is ivalid because 020 contains leading zeros.

Example 5:
Input: s = "1234567890", k = 90
Output: 34

 
Constraints:

1 <= s.length <= 10^5.
s consists of only digits and doesn't contain leading zeros.
1 <= k <= 10^9.

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Give me a Python program to print an array of integers?
assistant
#Here is Python program to print an array of integers.

class Solution:
    def numberOfArrays(self, s: str, k: int) -> int:
        dp = [-1] * len(s)
        return self.dfs(s, k, 0, dp)
    
    def dfs(self, s: str, k: int, start: int, dp: List[int]) -> int:
        if start == len(s):
            return 1
        if s[start] == '0':
            return 0
        if dp[start] != -1:
            return dp[start]
        
        res, num = 0, 0
        
        for i in range(start, len(s)):
            num = num * 10 + (ord(s[i]) - ord('0'))
            
            if num > k:
                break 
            
            res += self.dfs(s, k, i + 1, dp)
            res %= 10**9 + 7
            
        dp[start] = res
        return res