(1) {w € (a, b)*: every a in w is immediately preceded and followed by b} Testing strings: €, a, b, aa, ab, ba, bb, bab, aba, bbb, abab, baab, baba, babab The accepted strings are: U U U U U U U € a aa ab ba bb bab aba bbb abab baab baba babab
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![(1) {w € [a, b]* : every a in w is immediately preceded and followed by b}
Testing strings: &, a, b, aa, ab, ba, bb, bab, aba, bbb, abab, baab, baba, babab
The accepted strings are:
r
U
U
U
U
U
U
U
€
a
O
aa
ab
ba
bb
bab
aba
bbb
abab
baab
baba
babab](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e6fa127-a003-469d-9a51-b1d4610918ed%2Fb40e3a65-efe1-4ac9-9dba-c8d774b7eaf7%2F5suoke_processed.png&w=3840&q=75)
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- PYTHON CODE: In order to beat AlphaZero, Grandmaster Hikaru is improving her chess calculation skills.Today, Hikaru took a big chessboard with N rows (numbered 1 through N) and N columns (numbered 1 through N). Let's denote the square in row r and column c of the chessboard by (r,c). Hikaru wants to place some rooks on the chessboard in such a way that the following conditions are satisfied:• Each square of the board contains at most one rook.• There are no four rooks forming a rectangle. Formally, there should not be any four valid integers r1, c1, r2, c2 (≠r2,c1≠c2) such that there are rooks on squares (r1,c1), (r1,c2 (r2,c1)and (r2,c2).• The number of rooks is at least 8N.Help Hikaru find a possible distribution of rooks. If there are multiple solutions, you may find any one. It is guaranteed that under the given constraints, a solution always exists.InputThe first line of the input contains a single integer T denoting the number of test cases. The first and only line of each test…Q#2 Write a recursive function zeroCount ( int a[ ], int s, int e) that receives an array of integers a [], a start index s, and an end index e. The function should return the number of zeros in that array between s and e. int zeroCount ( int a[ ], int s, int e); Trace your function given the following array and function call. Draw your steps. int a[ ] = {1, 0, 0, 5}; int zeros = zeroCount(a, 0, 3); language c++Q4. Recursion Find how many possible combinations that a number can be decomposed into the multiple of integers (smaller than the number itself) by a recursion function.Suppose we have a positive number Y as input, and it need to be decomposed into the multiple of several integers, Yi, where each Yi, is smaller than Y(e.g., Y=Y1∗Y2∗ Y3∗...∗Yn). In addition, these decomposed integers can only be arranged in an ascending order (Y1
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