Example 2:

Input s = "1317", k = 2000

Output: 8

Explanation: Possible messages are [1317], [131,7], [31,17], [1,317], [13,1,7], [1,31,7], [1,3,17], [1,3,1,7]

4. Decode A Secret Message [Original Problem] You are a decoder being assigned to a secret operation. Your peer is a secret agent who has been working undercover in the enemy zone. For security, your communication is coded as following: Your codebook contains k pre-defined words, each word is associated with a positive integer as its unique ID, i.e., the unique IDs span between 1 and k without any leading zeros. Your peer's message to you contains these IDs in order, normally with delimiters. For example, if "10" means "Location", and "20" means "Casablanca", then "10,20" means "Location Casablanca". One day you have received a coded message (as a string "s") on your terminal from your peer. You can tell the message is sent in urgency as there are no stops/delimiters in the message. You need to decode the message as soon as possible or your peer's life is in danger. As your peer's message does not come with any delimiters, there may be multiple ways to decode it. Your first step is to calculate the number of all the possible meanings that your peer's message may have. Write a function to do so. Example 1: Input: 5 = "1000", k = 10000 Output: Explanation: The only possible message is (1000) Example 2