Leetcode Problem 2601. Prime Subtraction Operation

Algorithm

1. Generate a list of all prime numbers up to 1000 using the Sieve of Eratosthenes.
2. Initialize prev to 0 to keep track of the previous number in the array.
3. Iterate over each number in the array: a. Calculate the maximum value that can be subtracted from the current number to keep it greater than prev. b. Perform a binary search on the list of primes to find the largest prime less than or equal to this maximum value. c. Subtract the found prime from the current number. d. If no such prime can be found, check if the current number is already greater than prev. If not, return false. e. Update prev to the new value of the current number.
4. If the loop completes without returning false, return true.