from collections import defaultdict

def find_triples(points):

n = len(points)

# dictionary to store the point numbers

groups = defaultdict(list)

for i in range(n):

for j in range(i + 1, n):

for k in range(j + 1, n):

if (points[j][1] - points[i][1]) * (points[k][0] - points[j][0]) == (points[k][1] - points[j][1]) * (points[j][0] - points[i][0]):

# points are on the same line

groups[(points[i], points[j], points[k])].append(i + 1)

groups[(points[i], points[j], points[k])].append(j + 1)

groups[(points[i], points[j], points[k])].append(k + 1)

# sort the point numbers

for group in groups:

groups[group] = sorted(groups[group])

return groups

points = [(0, 0), (0, 4), (12, 24), (4, 3), (4, 5), (5, 1), (6, 5)]

result = find_triples(points)

print(len(result))

for group in result:

print(result[group])