Please look at the picture for better reference.

Problem $1.$ Let's say that we are using the queen's algorithm to solve the $7-$Queens problem.

$($a$)$ If col$=$

$3647152$

indicate their locations in the picture below.

$($b$)$ If col $=$

$3647152$

$,$ what does promising$(5)$ return?

$($c$)$ If col$=$

$3647152$

$,$ what does promising$(6)$ return?

$($d$)$ If col$=$

$3647152$

$,$ what does promising$(7)$ return?

$($e$)$ Let's assume that the queens algorithm has just placed a queen in the fifth column of the first

row $($see the col array below$).$ Write down what the col array looks like when it finds the next

solution.

col$=\{$:$[5,,,,,,]$:$\}$