Python Task: Implement the position$\_$howe$\_$truss$\_$vertices function in the code cell below. # This function determines the x$,$y coordinates of each of the vertices in the top row and bottom row of a Howe Truss. # Parameters: # $-$ horizontal$\_$span$\_$length is the total distance that the bridge spans $($from the leftmost bottom vertice to the rightmost bottom vertex$)$ # $-$ number$\_$of$\_$segments is the integer number of segments across the bottom of the bridge. # Return values: # $-$ a tuple containing two lists of vertices for the top and bottom rows. def position$\_$howe$\_$truss$\_$vertices$($horizontal$\_$span$\_$length, number$\_$of$\_$segments$)$ : # 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 code

Tests: result $=$ position$\_$howe$\_$truss$\_$vertices$(1,1)$ code$\_$analyser.assert$\_$equal$($result$,([],[(0,0),(1\mathrm{.}0,0)]),\text{'}$e$1\text{'})$

result $=$ position$\_$howe$\_$truss$\_$vertices$(2\mathrm{.}1,1)$ code$\_$analyser.assert$\_$equal$($result$,([],[(0,0),(2\mathrm{.}1,0)]),\text{'}$e$2\text{'})$

result $=$ position$\_$howe$\_$truss$\_$vertices$(1,2)$ code$\_$analyser.assert$\_$equal$($result$,([(0\mathrm{.}5,0\mathrm{.}5)],[(0,0),(0\mathrm{.}5,0),(1\mathrm{.}0,0)]),\text{'}$e$3\text{'})$

result $=$ position$\_$howe$\_$truss$\_$vertices$(5,5)$ code$\_$analyser.assert$\_$equal$($result$,([(1\mathrm{.}0,1\mathrm{.}0),(2\mathrm{.}0,1\mathrm{.}0),(3\mathrm{.}0,1\mathrm{.}0),(4\mathrm{.}0,1\mathrm{.}0)],[(0,0),(1\mathrm{.}0,0),(2\mathrm{.}0,0),(3\mathrm{.}0,0),(4\mathrm{.}0,0),(5\mathrm{.}0,0)]),\text{'}$e$4\text{'})$

result $=$ position$\_$howe$\_$truss$\_$vertices$(1\mathrm{.}5,6)$ code$\_$analyser.assert$\_$equal$($result$,([(0\mathrm{.}25,0\mathrm{.}25),(0\mathrm{.}5,0\mathrm{.}25),(0\mathrm{.}75,0\mathrm{.}25),(1\mathrm{.}0,0\mathrm{.}25),(1\mathrm{.}25,0\mathrm{.}25)],[(0,0),(0\mathrm{.}25,0),(0\mathrm{.}5,0),(0\mathrm{.}75,0),(1\mathrm{.}0,0),(1\mathrm{.}25,0),(1\mathrm{.}5,0)]),\text{'}$e$5\text{'})$

result $=$ position$\_$howe$\_$truss$\_$vertices$(3\mathrm{.}14,8)$ code$\_$analyser.assert$\_$equal$($result$,([(0\mathrm{.}3925,0\mathrm{.}3925),(0\mathrm{.}785,0\mathrm{.}3925),(1\mathrm{.}1775,0\mathrm{.}3925),(1\mathrm{.}57,0\mathrm{.}3925),(1\mathrm{.}9625,0\mathrm{.}3925),(2\mathrm{.}355,0\mathrm{.}3925),(2\mathrm{.}7475,0\mathrm{.}3925)],[(0,0),(0\mathrm{.}3925,0),(0\mathrm{.}785,0),(1\mathrm{.}1775,0),(1\mathrm{.}57,0),(1\mathrm{.}9625,0),(2\mathrm{.}355,0),(2\mathrm{.}7475,0),(3\mathrm{.}14,0)]),\text{'}$e$6\text{'})$