A = (3,3,1)
B = (15,2,1)
C = (14,18,1)
IA = (235, 53, 1)
IB = (9, 251, 15)
IC = (55, 25, 247)
T = ((7,3,1), (6,3,1))

# ==================

def sub(x,y):
	return (x[0]-y[0], x[1]-y[1], x[2]-y[2])

def product(x,y):
	return ( x[1]*y[2] - x[2]*y[1],
		 x[2]*y[0] - x[0]*y[2],
		 x[0]*y[1] - x[1]*y[0] )

def darea(x,y):
	return sum(product(x,y))

vba = sub(B,A)
vca = sub(C,A)
area = 1.0 * darea(vba,vca)

for t in T:
	ta = sub(A,t)
	tb = sub(B,t)
	tc = sub(C,t)
	pab = darea(ta,tb) / area
	pbc = darea(tb,tc) / area
	pca = darea(tc,ta) / area

	color = []
	for i in range(3):
		color.append( pbc*IA[i] + pca*IB[i] + pab*IC[i] )
	print t, map(lambda x: "%05.2f" % x, color)