Check: SBT; SAT, SABT, SBAT, SACT; the same four with swapped A and C

33
1 2 5 6 4 4 5 2 1 6
2 2 4 3 1 3 3 3 3 1
2 1 4 4 3 2 4 3 1 4
1 1 3 3 0 2 2 2 2 0
2 2 6 1 -1 1 5 6 5 0
2 2 0 3 -1 1 5 6 5 0
2 2 -4 0 -1 1 5 6 5 0
2 2 6 7 -1 1 5 6 5 0
2 2 5 7 -1 1 4 6 5 0
1 1 6 6 2 2 3 3 4 4
1 1 6 6 2 4 3 3 4 2
1 1 2 2 -1 -1 -1 -2 -2 -1
1 1 3 3 4 6 2 2 6 4
1 1 3 3 4 6 1 2 6 4
1 1 3 3 4 6 1 2 7 4
1 1 2 2 1 3 3 3 3 1
1 1 1 5 0 8 1 2 3 2
5 2 3 5 -1 2 4 5 6 3
4 1 5 5 2 3 6 4 5 2
1 1 7 5 2 3 6 4 5 2
1 1 3 3 2 4 2 2 4 2
6 1 6 4 0 5 7 2 6 5
2 2 4 2 2 1 3 6 4 1
4 2 2 2 2 1 3 6 4 1
8 7 1 3 6 1 7 4 0 9
5 1 2 2 2 1 4 1 8 9
9 -1 3 1 0 0 7 0 3 3
1 -1 6 7 0 0 7 0 3 3
0 0 8 0 2 0 4 0 6 0
1 1 4 4 0 3 3 3 3 0
0 0 0 4 2 1 0 2 2 3
0 0 0 4 0 2 2 2 3 2
1 1 5 2 1 2 5 1 0 3

8.000000
3.650282
3.828427
4.576491
5.019765
5.398346
6.324555
10.676619
10.605551
7.071068
7.634414
1.414214
8.993230
8.993230
9.162278
1.414214
5.841619
5.242641
5.064495
7.621233
4.576491
5.576491
4.000000
4.000000
11.709720
4.000000
9.211103
10.633758
8.000000
6.359174
4.000000
4.000000
5.000000

from matplotlib.pyplot import *
from math import *
inp='4 2 2 2 2 1 3 6 4 1'
sx,sy,tx,ty,ax,ay,bx,by,cx,cy = [float(i) for i in inp.split()]
plot(sx,sy,'go')
plot(tx,ty,'ro')
plot([ax,bx,cx],[ay,by,cy],'bo-')
def l(ax,ay,bx,by):
    plot([ax,bx],[ay,by], '--',
         label=str(sqrt((ax-bx)**2 + (ay-by)**2)))
def l2(ax,ay,bx,by,cx,cy):
    plot([ax,bx,cx],[ay,by,cy], '--',
         label=str(sqrt((ax-bx)**2 + (ay-by)**2) + sqrt((cx-bx)**2 + (cy-by)**2)))
def l3(ax,ay,bx,by,cx,cy,dx,dy):
    plot([ax,bx,cx,dx],[ay,by,cy,dy], '--',
         label=str(hypot(ax-bx,ay-by) + hypot(bx-cx,by-cy) + hypot(cx-dx,cy-dy)))
l(sx,sy,tx,ty)
l2(sx,sy,ax,ay,tx,ty)
l2(sx,sy,bx,by,tx,ty)
l2(sx,sy,cx,cy,tx,ty)
l3(sx,sy,bx,by,ax,ay,tx,ty)
l3(sx,sy,bx,by,cx,cy,tx,ty)
l3(sx,sy,ax,ay,cx,cy,tx,ty)
l3(sx,sy,cx,cy,ax,ay,tx,ty)

axis('equal'); grid(); legend(); show()