Write a Python code implementing naïve LCS recursive, LCS DP, and LCS bottom-up versions. Then write a driver program that

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Q2 (10 points) Write a Python code implementing naïve LCS recursive, LCS DP, and LCS

bottom-up versions. Then write a driver program that

1. Reads all the numbers in the “randl000000.txt” file as strings. You may use “randlOOO.t.xt” instead

for your testing purpose.

2. For each 6-digit integer (100,000- 999,999) string in the file, run an LCS function against

aloi 23456789” string

3. Using your timeEfficiency() function from HW2, compare the time efficiency of three versions

(recursive vs. DP vs. bottom-up) for the entire 1 M integer strings

My test result was around 30 minutes (recursive) vs 40 seconds (DP).

Q2 Deliverable:

Both Python codes of your main driver program and the output of your timeEfficiency() calls with your

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