Counts.py

#!/usr/bin/env python

import numpy as np

s = 0
c = 9

solved = False
trials = 0

while not solved:
    trials+=1
    if trials > 100:
        break

    N = tuple(np.random.randint(c-s) for i in range(s, c+1))

    bag = []

    while True:

        counts = tuple(N.count(i)+1 for i in range(s, c+1))

        if counts == N:
            solved = True
            break
        
        N = counts

        if N in bag:
            break

        bag.append(N)
        #print(N)
    #print('------------------------')

if solved:
    print(s,c, ', '.join('{} is {}'.format(i+s, n) for i, n in enumerate(N)))
else:
    print(s,c, '-No solution-')