Python Task: Implement the connect$\_$howe$\_$truss$\_$vertices function in the code cell below. # This function adds truss elements to connect each of the top and bottom vertices according to the pattern of a Howe Truss. # It also computes and returns a list of the element ids of the "green" elements across the bottom of the bridge. # Parameters: # $-$ bridge a SystemElements object from the AnaStruct module $($to which we can add truss elements$).$ # $-$ top$\_$vertices a list of the x$,$y coordinates of the vertices in the top row $($ordered from left to right$)$ # $-$ bottom$\_$vertices a list of the x$,$y coordinates of the vertices in the bottom row $($ordered from left to right$)$ # Return values: # $-$ a list of the element ids of the "green" elements across the bottom of the bridge. def connect$\_$howe$\_$truss$\_$vertices$($bridge$,$ top$\_$vertices, bottom$\_$vertices$)$ : # do not change this line in any way $-$ the function name and parameters must remain exactly as specified here. pass # ToDo: replace this line by your codeTests:test$\_$bridge$1=$ anastruct.SystemElements$()$v$0=(0\mathrm{.}5,0\mathrm{.}5)$test$\_$top$\_$vertices $=[$v$0]$v$1=(0,0)$v$2=(0\mathrm{.}5,0)$v$3=(1\mathrm{.}0,0)$test$\_$bottom$\_$vertices $=[$v$1,$ v$2,$ v$3]$bottom$\_$elements$\_$result $=$ connect$\_$howe$\_$truss$\_$vertices$($test$\_$bridge$1,$ test$\_$top$\_$vertices, test$\_$bottom$\_$vertices$)$code$\_$analyser.inspect$\_$bridge$($test$\_$bridge$1,$ bottom$\_$elements$\_$result, $[$v$0,$ v$1,$ v$2,$ v$3],[(0,1),(0,2),(0,3),(1,2),(2,3)],"$f$01")$test$\_$bridge$2=$ anastruct.SystemElements$()$v$0=(0\mathrm{.}25,0\mathrm{.}25)$v$1=(0\mathrm{.}5,0\mathrm{.}25)$v$2=(0\mathrm{.}75,0\mathrm{.}25)$test$\_$top$\_$vertices $=[$v$0,$ v$1,$ v$2]$v$3=(0,0)$v$4=(0\mathrm{.}25,0)$v$5=(0\mathrm{.}5,0)$v$6=(0\mathrm{.}75,0)$v$7=(1\mathrm{.}0,0)$test$\_$bottom$\_$vertices $=[$v$3,$ v$4,$ v$5,$ v$6,$ v$7]$bottom$\_$elements$\_$result $=$ connect$\_$howe$\_$truss$\_$vertices$($test$\_$bridge$2,$ test$\_$top$\_$vertices, test$\_$bottom$\_$vertices$)$code$\_$analyser.inspect$\_$bridge$($test$\_$bridge$2,$ bottom$\_$elements$\_$result, $[$v$0,$ v$1,$ v$2,$ v$3,$ v$4,$ v$5,$ v$6,$ v$7],[(0,1),(0,3),(0,4),(1,2),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(4,5),(5,6),(6,7)],"$f$02")$test$\_$bridge$3=$ anastruct.SystemElements$()$v$0=(0\mathrm{.}16666666666666666,0\mathrm{.}16666666666666666)$v$1=(0\mathrm{.}3333333333333333,0\mathrm{.}16666666666666666)$v$2=(0\mathrm{.}5,0\mathrm{.}16666666666666666)$v$3=(0\mathrm{.}6666666666666666,0\mathrm{.}16666666666666666)$v$4=(0\mathrm{.}8333333333333333,0\mathrm{.}16666666666666666)$test$\_$top$\_$vertices $=[$v$0,$ v$1,$ v$2,$ v$3,$ v$4]$v$5=(0,0)$v$6=(0\mathrm{.}16666666666666666,0)$v$7=(0\mathrm{.}3333333333333333,0)$v$8=(0\mathrm{.}5,0)$v$9=(0\mathrm{.}6666666666666666,0)$v$10=(0\mathrm{.}8333333333333333,0)$v$11=(0\mathrm{.}9999999999999999,0)$test$\_$bottom$\_$vertices $=[$v$5,$ v$6,$ v$7,$ v$8,$ v$9,$ v$10,$ v$11]$bottom$\_$elements$\_$result $=$ connect$\_$howe$\_$truss$\_$vertices$($test$\_$bridge$3,$ test$\_$top$\_$vertices, test$\_$bottom$\_$vertices$)$code$\_$analyser.inspect$\_$bridge$($test$\_$bridge$3,$ bottom$\_$elements$\_$result, $[$v$0,$ v$1,$ v$2,$ v$3,$ v$4,$ v$5,$ v$6,$ v$7,$ v$8,$ v$9,$ v$10,$ v$11],[(0,1),(0,5),(0,6),(1,2),(1,6),(1,7),(2,3),(2,7),(2,8),(2,9),(3,4),(3,9),(3,10),(4,10),(4,11),(5,6),(6,7),(7,8),(8,9),(9,10),(10,11)],"$f$03")$

The switch from diagonally up to diagonally down always happens at the midpoint of the bridge. A Howe Truss bridge must therefore always consist of an even number of segments.

Task $8$: Implement the connect$\_$howe$\_$truss$\_$vertices function in the code cell below.

$[]$: # This function adds truss elements to connect each of the top and bottom vertices according to the pattern of a Hon

# It also computes and returns a list of the element ids of the "green" elements across the bottom of the bridge.

# Parameters:

# $-$ bridge a SystemElements object from the Anastruct modute $($to which we can add truss elements$).$

# $-$ top$\_$vertices a list of the $x,y$ coordinates of the vertices in the top row $($ordered from left to right$)$

# $-$ bottom$\_$vertices a list of the $x,y$ coordinates of the vertices in the bottom row $($ordered from left to right$)$

# Return values:

# $-$ a list of the element ids of the "green" elements across the bottom of the bridge.

def connect$\_$howe$\_$truss$\_$vertices$($bridge$,$ top$\_$vertices, bottom$\_$vertices$)$: # do not change this line in any way $-$ the pass # TODo: replace this line by your code