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# Prefix with key greater than X

Problem Description

Design a data structure to efficiently handle Q queries.

`1 S K:` Insert a string S with key K.

`2 S K:` find the count of strings having S as prefix and key greater than or equal to K.

Problem Constraints

• 1 <= Q <= 5e4
• 1 <= K <= 1e9
• sum of S over all query <= 2e5
• S consists of lower case english alphabets only

Input Format
First argument is an integer array A of size Q denoting type of query.
Second argument is a string array B of size Q denoting string S for each query.
Third argument is an integer array C of size Q denoting key K for each query.

Output Format
Return an integer array containing all the answer to query 2 in the same order they were asked.

Example Input
Input 1:
``````    A = [1, 1, 2, 1, 2]
B = ["abc", "bac", "ab", "abc", "ab"]
C = [5, 1, 4, 4, 4]
``````

Input 2:

``````    A = [2]
B = [a]
C = [6]
``````

Example Output
Output 1:
``````    [1, 2]
``````

Output 2:

``````    [0]
``````

Example Explanation
Explanation 1:

``````    - Insert ["abc", 5]
- Insert ["bac", 1]
- string with Key greater than equal 4 having "ab" as prefix is ["abc", 5]; hence answer is 1.
- Insert ["abc", 4]
- string with Key greater than equal 4 having "ab" as prefix are ["abc", 5], ["abc", 4]; hence answer is 2
``````

Explanation 2:

``````    There is no string in data structure so answer is 0.
``````

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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