The class GameBoard is used to implement the game board $($grid$).$ In Section $1$ you will implement basic functionality including adding a disk into the board, testing whether a game is finished, and displaying the game board.

The class GameBoard is defined as follows:

class GameBoard:

def $\_\_$init$\_\_($self$,$ size$)$:

self.size $=$ size

self.num$\_$disks $=[0]*$ size

self.items $=[[0]*$ size for i in range$($size$)]$

self.points $=[0]*2$

The variable size specifies the size of the game board, i$.$e$.$ the number size of columns and rows. You can assume that size and you don$$t need to test for this.

The variable num$\_$disks is a list, which specifies the number of disks in each column. The initial value for each column is zero.

The game board itself is represented by the $2$D array items. This is a list of lists. The first dimension refers to the column number and the second dimension to the row number, i$.$e$.$ items$[$i$][$j$]$ is the value of the item in the i$-$th column and j$-$th row. Each item is initialised with the value $0($meaning$,$ no disk$).$ The value $1$ will represent a disk of player $1$ and the value $2$ a disk of player $2.$

The variable points represents the points $($number of lines of $4$ connected pieces$)$ of each player: points$[0]$ are the points of player $1,$ and points$[1]$ are the points of player $2.$

So here is the source code from me so far.

class GameBoard:

def $\_\_$init$\_\_($self$,$ size$)$:

self.size $=$ size

self.num$\_$disks $=[0]*$ size

self.items $=[[0]*$ size for i in range$($size$)]$

self.points $=[0]*2$

def num$\_$free$\_$positions$\_$in$\_$column$($self$,$ column$)$:

return self.size $-$ self.num$\_$disks$[$column$]$

def game$\_$over$($self$)$:

return all$($num$\_$disk $==$ self.size for num$\_$disk in self.num$\_$disks$)$

def display$($self$)$:

for row in range$($self$.$size $-1,-1,-1)$:

for col in range$($self$.$size$)$:

if self.items$[$col$][$row$]==0$:

print$("",$ end$="")$

elif self.items$[$col$][$row$]==1$:

print$("$o$",$ end$="")$

elif self.items$[$col$][$row$]==2$:

print$("$x$",$ end$="")$

print$()$

print$("-"*($self$.$size$*2-1))$

for col in range$($self$.$size$)$:

print$($col$,$ end$="")$

print$()$

print$("$Points player $1$:$",$ self.points$[0])$

print$("$Points player $2$:$",$ self.points$[1])$

def num$\_$new$\_$points$($self$,$ column, row, player$)$:

return $0$

def add$($self$,$ column, player$)$:

if column $<mtext></mtext><mn>0</mn>$ or column $>=$ self.size or self.num$\_$disks$[$column$]>=$ self.size:

return False

row $=$ self.num$\_$disks$[$column$]$

self.items$[$column$][$row$]=$ player

self.num$\_$disks$[$column$]+=1$

self.points$[$player$-1]+=$ self.num$\_$new$\_$points$($column$,$ row, player$)$

return True

and I need help with the question in the image below with some test cases and expected result.