hanoi.py

class Hanoi:
    ''' Constructs an initial-state towers of hanoi problem with n elements.
    
    Each disk is represented by an integer, with biggest = n, smallest = 1.

                 bottom                top
    stack[0] = [ n, (n-1), (n-2), ..., 1 ]
    stack[1] = []
    stack[2] = []
    '''
    def __init__ (self, n):
        self.stacks = [ list(range(n, 0, -1)), [], [] ]

    ''' Move top of stack from s to t, providing following rules are followed:

    1. s != t
    2. stack s is non-empty
    3. if stack t is non-empty, the top element of stack s < the top element of stack t

    If successful, we move the top element of stack s to the top of stack t:
        stack[s].push(stack[t].pop()),
        print the new stack state,
        and return True

    If non-successful, we do nothing and return False to signal failure.
    '''
    def move (self, s, t):
        if s == t:
            return False
        if len(self.stacks[s]) == 0:
            return False
        if len(self.stacks[t]) != 0 and self.stacks[s][-1] >= self.stacks[t][-1]:
            return False
        self.stacks[t] += [self.stacks[s].pop()]
        print self.stacks
        return True

''' Recursively solves a towers of hanoi problem by moving sub-stacks.

To move stack n from s to t:
1. move the n-1th stack from s to temp stack
2. move the nth element from s to t
3. move the n-1th stack from temp stack to t

For the edge-case where n == 1, we just execute step 2, since there are no sub-stacks to move.
'''
def r_solve (h):
    ''' Moves the nth sub-stack from stack[s] to stack[t] using recursive operations '''
    def r_move (h, s, t, n):
        # There's probably a more elegant way to calculate temp, but this works.
        # If we wanted speed we could just use a lookup table to avoid branches.
        temp = 0 if s != 0 and t != 0 else 1 if s != 1 and t != 1 else 2
        if n == 1:
            assert(h.move(s, t))
        else:
            r_move(h, s, temp, n - 1)
            assert(h.move(s, t))
            r_move(h, temp, t, n - 1)
        return h
    return r_move(h, 0, 2, len(h.stacks[0]))



if __name__ == '__main__':
    print("Hanoi(4)")
    r_solve(Hanoi(4))

    print("\nHanoi(10)")
    r_solve(Hanoi(10))

output.txt

Hanoi(4)
[[4, 3, 2], [1], []]
[[4, 3], [1], [2]]
[[4, 3], [], [2, 1]]
[[4], [3], [2, 1]]
[[4, 1], [3], [2]]
[[4, 1], [3, 2], []]
[[4], [3, 2, 1], []]
[[], [3, 2, 1], [4]]
[[], [3, 2], [4, 1]]
[[2], [3], [4, 1]]
[[2, 1], [3], [4]]
[[2, 1], [], [4, 3]]
[[2], [1], [4, 3]]
[[], [1], [4, 3, 2]]
[[], [], [4, 3, 2, 1]]

Hanoi(10)
[[10, 9, 8, 7, 6, 5, 4, 3, 2], [1], []]
[[10, 9, 8, 7, 6, 5, 4, 3], [1], [2]]
[[10, 9, 8, 7, 6, 5, 4, 3], [], [2, 1]]
[[10, 9, 8, 7, 6, 5, 4], [3], [2, 1]]
[[10, 9, 8, 7, 6, 5, 4, 1], [3], [2]]
[[10, 9, 8, 7, 6, 5, 4, 1], [3, 2], []]
[[10, 9, 8, 7, 6, 5, 4], [3, 2, 1], []]
[[10, 9, 8, 7, 6, 5], [3, 2, 1], [4]]
[[10, 9, 8, 7, 6, 5], [3, 2], [4, 1]]
[[10, 9, 8, 7, 6, 5, 2], [3], [4, 1]]
[[10, 9, 8, 7, 6, 5, 2, 1], [3], [4]]
[[10, 9, 8, 7, 6, 5, 2, 1], [], [4, 3]]
[[10, 9, 8, 7, 6, 5, 2], [1], [4, 3]]
[[10, 9, 8, 7, 6, 5], [1], [4, 3, 2]]
[[10, 9, 8, 7, 6, 5], [], [4, 3, 2, 1]]
[[10, 9, 8, 7, 6], [5], [4, 3, 2, 1]]
[[10, 9, 8, 7, 6, 1], [5], [4, 3, 2]]
[[10, 9, 8, 7, 6, 1], [5, 2], [4, 3]]
[[10, 9, 8, 7, 6], [5, 2, 1], [4, 3]]
[[10, 9, 8, 7, 6, 3], [5, 2, 1], [4]]
[[10, 9, 8, 7, 6, 3], [5, 2], [4, 1]]
[[10, 9, 8, 7, 6, 3, 2], [5], [4, 1]]
[[10, 9, 8, 7, 6, 3, 2, 1], [5], [4]]
[[10, 9, 8, 7, 6, 3, 2, 1], [5, 4], []]
[[10, 9, 8, 7, 6, 3, 2], [5, 4, 1], []]
[[10, 9, 8, 7, 6, 3], [5, 4, 1], [2]]
[[10, 9, 8, 7, 6, 3], [5, 4], [2, 1]]
[[10, 9, 8, 7, 6], [5, 4, 3], [2, 1]]
[[10, 9, 8, 7, 6, 1], [5, 4, 3], [2]]
[[10, 9, 8, 7, 6, 1], [5, 4, 3, 2], []]
[[10, 9, 8, 7, 6], [5, 4, 3, 2, 1], []]
[[10, 9, 8, 7], [5, 4, 3, 2, 1], [6]]
[[10, 9, 8, 7], [5, 4, 3, 2], [6, 1]]
[[10, 9, 8, 7, 2], [5, 4, 3], [6, 1]]
[[10, 9, 8, 7, 2, 1], [5, 4, 3], [6]]
[[10, 9, 8, 7, 2, 1], [5, 4], [6, 3]]
[[10, 9, 8, 7, 2], [5, 4, 1], [6, 3]]
[[10, 9, 8, 7], [5, 4, 1], [6, 3, 2]]
[[10, 9, 8, 7], [5, 4], [6, 3, 2, 1]]
[[10, 9, 8, 7, 4], [5], [6, 3, 2, 1]]
[[10, 9, 8, 7, 4, 1], [5], [6, 3, 2]]
[[10, 9, 8, 7, 4, 1], [5, 2], [6, 3]]
[[10, 9, 8, 7, 4], [5, 2, 1], [6, 3]]
[[10, 9, 8, 7, 4, 3], [5, 2, 1], [6]]
[[10, 9, 8, 7, 4, 3], [5, 2], [6, 1]]
[[10, 9, 8, 7, 4, 3, 2], [5], [6, 1]]
[[10, 9, 8, 7, 4, 3, 2, 1], [5], [6]]
[[10, 9, 8, 7, 4, 3, 2, 1], [], [6, 5]]
[[10, 9, 8, 7, 4, 3, 2], [1], [6, 5]]
[[10, 9, 8, 7, 4, 3], [1], [6, 5, 2]]
[[10, 9, 8, 7, 4, 3], [], [6, 5, 2, 1]]
[[10, 9, 8, 7, 4], [3], [6, 5, 2, 1]]
[[10, 9, 8, 7, 4, 1], [3], [6, 5, 2]]
[[10, 9, 8, 7, 4, 1], [3, 2], [6, 5]]
[[10, 9, 8, 7, 4], [3, 2, 1], [6, 5]]
[[10, 9, 8, 7], [3, 2, 1], [6, 5, 4]]
[[10, 9, 8, 7], [3, 2], [6, 5, 4, 1]]
[[10, 9, 8, 7, 2], [3], [6, 5, 4, 1]]
[[10, 9, 8, 7, 2, 1], [3], [6, 5, 4]]
[[10, 9, 8, 7, 2, 1], [], [6, 5, 4, 3]]
[[10, 9, 8, 7, 2], [1], [6, 5, 4, 3]]
[[10, 9, 8, 7], [1], [6, 5, 4, 3, 2]]
[[10, 9, 8, 7], [], [6, 5, 4, 3, 2, 1]]
[[10, 9, 8], [7], [6, 5, 4, 3, 2, 1]]
[[10, 9, 8, 1], [7], [6, 5, 4, 3, 2]]
[[10, 9, 8, 1], [7, 2], [6, 5, 4, 3]]
[[10, 9, 8], [7, 2, 1], [6, 5, 4, 3]]
[[10, 9, 8, 3], [7, 2, 1], [6, 5, 4]]
[[10, 9, 8, 3], [7, 2], [6, 5, 4, 1]]
[[10, 9, 8, 3, 2], [7], [6, 5, 4, 1]]
[[10, 9, 8, 3, 2, 1], [7], [6, 5, 4]]
[[10, 9, 8, 3, 2, 1], [7, 4], [6, 5]]
[[10, 9, 8, 3, 2], [7, 4, 1], [6, 5]]
[[10, 9, 8, 3], [7, 4, 1], [6, 5, 2]]
[[10, 9, 8, 3], [7, 4], [6, 5, 2, 1]]
[[10, 9, 8], [7, 4, 3], [6, 5, 2, 1]]
[[10, 9, 8, 1], [7, 4, 3], [6, 5, 2]]
[[10, 9, 8, 1], [7, 4, 3, 2], [6, 5]]
[[10, 9, 8], [7, 4, 3, 2, 1], [6, 5]]
[[10, 9, 8, 5], [7, 4, 3, 2, 1], [6]]
[[10, 9, 8, 5], [7, 4, 3, 2], [6, 1]]
[[10, 9, 8, 5, 2], [7, 4, 3], [6, 1]]
[[10, 9, 8, 5, 2, 1], [7, 4, 3], [6]]
[[10, 9, 8, 5, 2, 1], [7, 4], [6, 3]]
[[10, 9, 8, 5, 2], [7, 4, 1], [6, 3]]
[[10, 9, 8, 5], [7, 4, 1], [6, 3, 2]]
[[10, 9, 8, 5], [7, 4], [6, 3, 2, 1]]
[[10, 9, 8, 5, 4], [7], [6, 3, 2, 1]]
[[10, 9, 8, 5, 4, 1], [7], [6, 3, 2]]
[[10, 9, 8, 5, 4, 1], [7, 2], [6, 3]]
[[10, 9, 8, 5, 4], [7, 2, 1], [6, 3]]
[[10, 9, 8, 5, 4, 3], [7, 2, 1], [6]]
[[10, 9, 8, 5, 4, 3], [7, 2], [6, 1]]
[[10, 9, 8, 5, 4, 3, 2], [7], [6, 1]]
[[10, 9, 8, 5, 4, 3, 2, 1], [7], [6]]
[[10, 9, 8, 5, 4, 3, 2, 1], [7, 6], []]
[[10, 9, 8, 5, 4, 3, 2], [7, 6, 1], []]
[[10, 9, 8, 5, 4, 3], [7, 6, 1], [2]]
[[10, 9, 8, 5, 4, 3], [7, 6], [2, 1]]
[[10, 9, 8, 5, 4], [7, 6, 3], [2, 1]]
[[10, 9, 8, 5, 4, 1], [7, 6, 3], [2]]
[[10, 9, 8, 5, 4, 1], [7, 6, 3, 2], []]
[[10, 9, 8, 5, 4], [7, 6, 3, 2, 1], []]
[[10, 9, 8, 5], [7, 6, 3, 2, 1], [4]]
[[10, 9, 8, 5], [7, 6, 3, 2], [4, 1]]
[[10, 9, 8, 5, 2], [7, 6, 3], [4, 1]]
[[10, 9, 8, 5, 2, 1], [7, 6, 3], [4]]
[[10, 9, 8, 5, 2, 1], [7, 6], [4, 3]]
[[10, 9, 8, 5, 2], [7, 6, 1], [4, 3]]
[[10, 9, 8, 5], [7, 6, 1], [4, 3, 2]]
[[10, 9, 8, 5], [7, 6], [4, 3, 2, 1]]
[[10, 9, 8], [7, 6, 5], [4, 3, 2, 1]]
[[10, 9, 8, 1], [7, 6, 5], [4, 3, 2]]
[[10, 9, 8, 1], [7, 6, 5, 2], [4, 3]]
[[10, 9, 8], [7, 6, 5, 2, 1], [4, 3]]
[[10, 9, 8, 3], [7, 6, 5, 2, 1], [4]]
[[10, 9, 8, 3], [7, 6, 5, 2], [4, 1]]
[[10, 9, 8, 3, 2], [7, 6, 5], [4, 1]]
[[10, 9, 8, 3, 2, 1], [7, 6, 5], [4]]
[[10, 9, 8, 3, 2, 1], [7, 6, 5, 4], []]
[[10, 9, 8, 3, 2], [7, 6, 5, 4, 1], []]
[[10, 9, 8, 3], [7, 6, 5, 4, 1], [2]]
[[10, 9, 8, 3], [7, 6, 5, 4], [2, 1]]
[[10, 9, 8], [7, 6, 5, 4, 3], [2, 1]]
[[10, 9, 8, 1], [7, 6, 5, 4, 3], [2]]
[[10, 9, 8, 1], [7, 6, 5, 4, 3, 2], []]
[[10, 9, 8], [7, 6, 5, 4, 3, 2, 1], []]
[[10, 9], [7, 6, 5, 4, 3, 2, 1], [8]]
[[10, 9], [7, 6, 5, 4, 3, 2], [8, 1]]
[[10, 9, 2], [7, 6, 5, 4, 3], [8, 1]]
[[10, 9, 2, 1], [7, 6, 5, 4, 3], [8]]
[[10, 9, 2, 1], [7, 6, 5, 4], [8, 3]]
[[10, 9, 2], [7, 6, 5, 4, 1], [8, 3]]
[[10, 9], [7, 6, 5, 4, 1], [8, 3, 2]]
[[10, 9], [7, 6, 5, 4], [8, 3, 2, 1]]
[[10, 9, 4], [7, 6, 5], [8, 3, 2, 1]]
[[10, 9, 4, 1], [7, 6, 5], [8, 3, 2]]
[[10, 9, 4, 1], [7, 6, 5, 2], [8, 3]]
[[10, 9, 4], [7, 6, 5, 2, 1], [8, 3]]
[[10, 9, 4, 3], [7, 6, 5, 2, 1], [8]]
[[10, 9, 4, 3], [7, 6, 5, 2], [8, 1]]
[[10, 9, 4, 3, 2], [7, 6, 5], [8, 1]]
[[10, 9, 4, 3, 2, 1], [7, 6, 5], [8]]
[[10, 9, 4, 3, 2, 1], [7, 6], [8, 5]]
[[10, 9, 4, 3, 2], [7, 6, 1], [8, 5]]
[[10, 9, 4, 3], [7, 6, 1], [8, 5, 2]]
[[10, 9, 4, 3], [7, 6], [8, 5, 2, 1]]
[[10, 9, 4], [7, 6, 3], [8, 5, 2, 1]]
[[10, 9, 4, 1], [7, 6, 3], [8, 5, 2]]
[[10, 9, 4, 1], [7, 6, 3, 2], [8, 5]]
[[10, 9, 4], [7, 6, 3, 2, 1], [8, 5]]
[[10, 9], [7, 6, 3, 2, 1], [8, 5, 4]]
[[10, 9], [7, 6, 3, 2], [8, 5, 4, 1]]
[[10, 9, 2], [7, 6, 3], [8, 5, 4, 1]]
[[10, 9, 2, 1], [7, 6, 3], [8, 5, 4]]
[[10, 9, 2, 1], [7, 6], [8, 5, 4, 3]]
[[10, 9, 2], [7, 6, 1], [8, 5, 4, 3]]
[[10, 9], [7, 6, 1], [8, 5, 4, 3, 2]]
[[10, 9], [7, 6], [8, 5, 4, 3, 2, 1]]
[[10, 9, 6], [7], [8, 5, 4, 3, 2, 1]]
[[10, 9, 6, 1], [7], [8, 5, 4, 3, 2]]
[[10, 9, 6, 1], [7, 2], [8, 5, 4, 3]]
[[10, 9, 6], [7, 2, 1], [8, 5, 4, 3]]
[[10, 9, 6, 3], [7, 2, 1], [8, 5, 4]]
[[10, 9, 6, 3], [7, 2], [8, 5, 4, 1]]
[[10, 9, 6, 3, 2], [7], [8, 5, 4, 1]]
[[10, 9, 6, 3, 2, 1], [7], [8, 5, 4]]
[[10, 9, 6, 3, 2, 1], [7, 4], [8, 5]]
[[10, 9, 6, 3, 2], [7, 4, 1], [8, 5]]
[[10, 9, 6, 3], [7, 4, 1], [8, 5, 2]]
[[10, 9, 6, 3], [7, 4], [8, 5, 2, 1]]
[[10, 9, 6], [7, 4, 3], [8, 5, 2, 1]]
[[10, 9, 6, 1], [7, 4, 3], [8, 5, 2]]
[[10, 9, 6, 1], [7, 4, 3, 2], [8, 5]]
[[10, 9, 6], [7, 4, 3, 2, 1], [8, 5]]
[[10, 9, 6, 5], [7, 4, 3, 2, 1], [8]]
[[10, 9, 6, 5], [7, 4, 3, 2], [8, 1]]
[[10, 9, 6, 5, 2], [7, 4, 3], [8, 1]]
[[10, 9, 6, 5, 2, 1], [7, 4, 3], [8]]
[[10, 9, 6, 5, 2, 1], [7, 4], [8, 3]]
[[10, 9, 6, 5, 2], [7, 4, 1], [8, 3]]
[[10, 9, 6, 5], [7, 4, 1], [8, 3, 2]]
[[10, 9, 6, 5], [7, 4], [8, 3, 2, 1]]
[[10, 9, 6, 5, 4], [7], [8, 3, 2, 1]]
[[10, 9, 6, 5, 4, 1], [7], [8, 3, 2]]
[[10, 9, 6, 5, 4, 1], [7, 2], [8, 3]]
[[10, 9, 6, 5, 4], [7, 2, 1], [8, 3]]
[[10, 9, 6, 5, 4, 3], [7, 2, 1], [8]]
[[10, 9, 6, 5, 4, 3], [7, 2], [8, 1]]
[[10, 9, 6, 5, 4, 3, 2], [7], [8, 1]]
[[10, 9, 6, 5, 4, 3, 2, 1], [7], [8]]
[[10, 9, 6, 5, 4, 3, 2, 1], [], [8, 7]]
[[10, 9, 6, 5, 4, 3, 2], [1], [8, 7]]
[[10, 9, 6, 5, 4, 3], [1], [8, 7, 2]]
[[10, 9, 6, 5, 4, 3], [], [8, 7, 2, 1]]
[[10, 9, 6, 5, 4], [3], [8, 7, 2, 1]]
[[10, 9, 6, 5, 4, 1], [3], [8, 7, 2]]
[[10, 9, 6, 5, 4, 1], [3, 2], [8, 7]]
[[10, 9, 6, 5, 4], [3, 2, 1], [8, 7]]
[[10, 9, 6, 5], [3, 2, 1], [8, 7, 4]]
[[10, 9, 6, 5], [3, 2], [8, 7, 4, 1]]
[[10, 9, 6, 5, 2], [3], [8, 7, 4, 1]]
[[10, 9, 6, 5, 2, 1], [3], [8, 7, 4]]
[[10, 9, 6, 5, 2, 1], [], [8, 7, 4, 3]]
[[10, 9, 6, 5, 2], [1], [8, 7, 4, 3]]
[[10, 9, 6, 5], [1], [8, 7, 4, 3, 2]]
[[10, 9, 6, 5], [], [8, 7, 4, 3, 2, 1]]
[[10, 9, 6], [5], [8, 7, 4, 3, 2, 1]]
[[10, 9, 6, 1], [5], [8, 7, 4, 3, 2]]
[[10, 9, 6, 1], [5, 2], [8, 7, 4, 3]]
[[10, 9, 6], [5, 2, 1], [8, 7, 4, 3]]
[[10, 9, 6, 3], [5, 2, 1], [8, 7, 4]]
[[10, 9, 6, 3], [5, 2], [8, 7, 4, 1]]
[[10, 9, 6, 3, 2], [5], [8, 7, 4, 1]]
[[10, 9, 6, 3, 2, 1], [5], [8, 7, 4]]
[[10, 9, 6, 3, 2, 1], [5, 4], [8, 7]]
[[10, 9, 6, 3, 2], [5, 4, 1], [8, 7]]
[[10, 9, 6, 3], [5, 4, 1], [8, 7, 2]]
[[10, 9, 6, 3], [5, 4], [8, 7, 2, 1]]
[[10, 9, 6], [5, 4, 3], [8, 7, 2, 1]]
[[10, 9, 6, 1], [5, 4, 3], [8, 7, 2]]
[[10, 9, 6, 1], [5, 4, 3, 2], [8, 7]]
[[10, 9, 6], [5, 4, 3, 2, 1], [8, 7]]
[[10, 9], [5, 4, 3, 2, 1], [8, 7, 6]]
[[10, 9], [5, 4, 3, 2], [8, 7, 6, 1]]
[[10, 9, 2], [5, 4, 3], [8, 7, 6, 1]]
[[10, 9, 2, 1], [5, 4, 3], [8, 7, 6]]
[[10, 9, 2, 1], [5, 4], [8, 7, 6, 3]]
[[10, 9, 2], [5, 4, 1], [8, 7, 6, 3]]
[[10, 9], [5, 4, 1], [8, 7, 6, 3, 2]]
[[10, 9], [5, 4], [8, 7, 6, 3, 2, 1]]
[[10, 9, 4], [5], [8, 7, 6, 3, 2, 1]]
[[10, 9, 4, 1], [5], [8, 7, 6, 3, 2]]
[[10, 9, 4, 1], [5, 2], [8, 7, 6, 3]]
[[10, 9, 4], [5, 2, 1], [8, 7, 6, 3]]
[[10, 9, 4, 3], [5, 2, 1], [8, 7, 6]]
[[10, 9, 4, 3], [5, 2], [8, 7, 6, 1]]
[[10, 9, 4, 3, 2], [5], [8, 7, 6, 1]]
[[10, 9, 4, 3, 2, 1], [5], [8, 7, 6]]
[[10, 9, 4, 3, 2, 1], [], [8, 7, 6, 5]]
[[10, 9, 4, 3, 2], [1], [8, 7, 6, 5]]
[[10, 9, 4, 3], [1], [8, 7, 6, 5, 2]]
[[10, 9, 4, 3], [], [8, 7, 6, 5, 2, 1]]
[[10, 9, 4], [3], [8, 7, 6, 5, 2, 1]]
[[10, 9, 4, 1], [3], [8, 7, 6, 5, 2]]
[[10, 9, 4, 1], [3, 2], [8, 7, 6, 5]]
[[10, 9, 4], [3, 2, 1], [8, 7, 6, 5]]
[[10, 9], [3, 2, 1], [8, 7, 6, 5, 4]]
[[10, 9], [3, 2], [8, 7, 6, 5, 4, 1]]
[[10, 9, 2], [3], [8, 7, 6, 5, 4, 1]]
[[10, 9, 2, 1], [3], [8, 7, 6, 5, 4]]
[[10, 9, 2, 1], [], [8, 7, 6, 5, 4, 3]]
[[10, 9, 2], [1], [8, 7, 6, 5, 4, 3]]
[[10, 9], [1], [8, 7, 6, 5, 4, 3, 2]]
[[10, 9], [], [8, 7, 6, 5, 4, 3, 2, 1]]
[[10], [9], [8, 7, 6, 5, 4, 3, 2, 1]]
[[10, 1], [9], [8, 7, 6, 5, 4, 3, 2]]
[[10, 1], [9, 2], [8, 7, 6, 5, 4, 3]]
[[10], [9, 2, 1], [8, 7, 6, 5, 4, 3]]
[[10, 3], [9, 2, 1], [8, 7, 6, 5, 4]]
[[10, 3], [9, 2], [8, 7, 6, 5, 4, 1]]
[[10, 3, 2], [9], [8, 7, 6, 5, 4, 1]]
[[10, 3, 2, 1], [9], [8, 7, 6, 5, 4]]
[[10, 3, 2, 1], [9, 4], [8, 7, 6, 5]]
[[10, 3, 2], [9, 4, 1], [8, 7, 6, 5]]
[[10, 3], [9, 4, 1], [8, 7, 6, 5, 2]]
[[10, 3], [9, 4], [8, 7, 6, 5, 2, 1]]
[[10], [9, 4, 3], [8, 7, 6, 5, 2, 1]]
[[10, 1], [9, 4, 3], [8, 7, 6, 5, 2]]
[[10, 1], [9, 4, 3, 2], [8, 7, 6, 5]]
[[10], [9, 4, 3, 2, 1], [8, 7, 6, 5]]
[[10, 5], [9, 4, 3, 2, 1], [8, 7, 6]]
[[10, 5], [9, 4, 3, 2], [8, 7, 6, 1]]
[[10, 5, 2], [9, 4, 3], [8, 7, 6, 1]]
[[10, 5, 2, 1], [9, 4, 3], [8, 7, 6]]
[[10, 5, 2, 1], [9, 4], [8, 7, 6, 3]]
[[10, 5, 2], [9, 4, 1], [8, 7, 6, 3]]
[[10, 5], [9, 4, 1], [8, 7, 6, 3, 2]]
[[10, 5], [9, 4], [8, 7, 6, 3, 2, 1]]
[[10, 5, 4], [9], [8, 7, 6, 3, 2, 1]]
[[10, 5, 4, 1], [9], [8, 7, 6, 3, 2]]
[[10, 5, 4, 1], [9, 2], [8, 7, 6, 3]]
[[10, 5, 4], [9, 2, 1], [8, 7, 6, 3]]
[[10, 5, 4, 3], [9, 2, 1], [8, 7, 6]]
[[10, 5, 4, 3], [9, 2], [8, 7, 6, 1]]
[[10, 5, 4, 3, 2], [9], [8, 7, 6, 1]]
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[[6, 3, 2], [7], [10, 9, 8, 5, 4, 1]]
[[6, 3, 2, 1], [7], [10, 9, 8, 5, 4]]
[[6, 3, 2, 1], [7, 4], [10, 9, 8, 5]]
[[6, 3, 2], [7, 4, 1], [10, 9, 8, 5]]
[[6, 3], [7, 4, 1], [10, 9, 8, 5, 2]]
[[6, 3], [7, 4], [10, 9, 8, 5, 2, 1]]
[[6], [7, 4, 3], [10, 9, 8, 5, 2, 1]]
[[6, 1], [7, 4, 3], [10, 9, 8, 5, 2]]
[[6, 1], [7, 4, 3, 2], [10, 9, 8, 5]]
[[6], [7, 4, 3, 2, 1], [10, 9, 8, 5]]
[[6, 5], [7, 4, 3, 2, 1], [10, 9, 8]]
[[6, 5], [7, 4, 3, 2], [10, 9, 8, 1]]
[[6, 5, 2], [7, 4, 3], [10, 9, 8, 1]]
[[6, 5, 2, 1], [7, 4, 3], [10, 9, 8]]
[[6, 5, 2, 1], [7, 4], [10, 9, 8, 3]]
[[6, 5, 2], [7, 4, 1], [10, 9, 8, 3]]
[[6, 5], [7, 4, 1], [10, 9, 8, 3, 2]]
[[6, 5], [7, 4], [10, 9, 8, 3, 2, 1]]
[[6, 5, 4], [7], [10, 9, 8, 3, 2, 1]]
[[6, 5, 4, 1], [7], [10, 9, 8, 3, 2]]
[[6, 5, 4, 1], [7, 2], [10, 9, 8, 3]]
[[6, 5, 4], [7, 2, 1], [10, 9, 8, 3]]
[[6, 5, 4, 3], [7, 2, 1], [10, 9, 8]]
[[6, 5, 4, 3], [7, 2], [10, 9, 8, 1]]
[[6, 5, 4, 3, 2], [7], [10, 9, 8, 1]]
[[6, 5, 4, 3, 2, 1], [7], [10, 9, 8]]
[[6, 5, 4, 3, 2, 1], [], [10, 9, 8, 7]]
[[6, 5, 4, 3, 2], [1], [10, 9, 8, 7]]
[[6, 5, 4, 3], [1], [10, 9, 8, 7, 2]]
[[6, 5, 4, 3], [], [10, 9, 8, 7, 2, 1]]
[[6, 5, 4], [3], [10, 9, 8, 7, 2, 1]]
[[6, 5, 4, 1], [3], [10, 9, 8, 7, 2]]
[[6, 5, 4, 1], [3, 2], [10, 9, 8, 7]]
[[6, 5, 4], [3, 2, 1], [10, 9, 8, 7]]
[[6, 5], [3, 2, 1], [10, 9, 8, 7, 4]]
[[6, 5], [3, 2], [10, 9, 8, 7, 4, 1]]
[[6, 5, 2], [3], [10, 9, 8, 7, 4, 1]]
[[6, 5, 2, 1], [3], [10, 9, 8, 7, 4]]
[[6, 5, 2, 1], [], [10, 9, 8, 7, 4, 3]]
[[6, 5, 2], [1], [10, 9, 8, 7, 4, 3]]
[[6, 5], [1], [10, 9, 8, 7, 4, 3, 2]]
[[6, 5], [], [10, 9, 8, 7, 4, 3, 2, 1]]
[[6], [5], [10, 9, 8, 7, 4, 3, 2, 1]]
[[6, 1], [5], [10, 9, 8, 7, 4, 3, 2]]
[[6, 1], [5, 2], [10, 9, 8, 7, 4, 3]]
[[6], [5, 2, 1], [10, 9, 8, 7, 4, 3]]
[[6, 3], [5, 2, 1], [10, 9, 8, 7, 4]]
[[6, 3], [5, 2], [10, 9, 8, 7, 4, 1]]
[[6, 3, 2], [5], [10, 9, 8, 7, 4, 1]]
[[6, 3, 2, 1], [5], [10, 9, 8, 7, 4]]
[[6, 3, 2, 1], [5, 4], [10, 9, 8, 7]]
[[6, 3, 2], [5, 4, 1], [10, 9, 8, 7]]
[[6, 3], [5, 4, 1], [10, 9, 8, 7, 2]]
[[6, 3], [5, 4], [10, 9, 8, 7, 2, 1]]
[[6], [5, 4, 3], [10, 9, 8, 7, 2, 1]]
[[6, 1], [5, 4, 3], [10, 9, 8, 7, 2]]
[[6, 1], [5, 4, 3, 2], [10, 9, 8, 7]]
[[6], [5, 4, 3, 2, 1], [10, 9, 8, 7]]
[[], [5, 4, 3, 2, 1], [10, 9, 8, 7, 6]]
[[], [5, 4, 3, 2], [10, 9, 8, 7, 6, 1]]
[[2], [5, 4, 3], [10, 9, 8, 7, 6, 1]]
[[2, 1], [5, 4, 3], [10, 9, 8, 7, 6]]
[[2, 1], [5, 4], [10, 9, 8, 7, 6, 3]]
[[2], [5, 4, 1], [10, 9, 8, 7, 6, 3]]
[[], [5, 4, 1], [10, 9, 8, 7, 6, 3, 2]]
[[], [5, 4], [10, 9, 8, 7, 6, 3, 2, 1]]
[[4], [5], [10, 9, 8, 7, 6, 3, 2, 1]]
[[4, 1], [5], [10, 9, 8, 7, 6, 3, 2]]
[[4, 1], [5, 2], [10, 9, 8, 7, 6, 3]]
[[4], [5, 2, 1], [10, 9, 8, 7, 6, 3]]
[[4, 3], [5, 2, 1], [10, 9, 8, 7, 6]]
[[4, 3], [5, 2], [10, 9, 8, 7, 6, 1]]
[[4, 3, 2], [5], [10, 9, 8, 7, 6, 1]]
[[4, 3, 2, 1], [5], [10, 9, 8, 7, 6]]
[[4, 3, 2, 1], [], [10, 9, 8, 7, 6, 5]]
[[4, 3, 2], [1], [10, 9, 8, 7, 6, 5]]
[[4, 3], [1], [10, 9, 8, 7, 6, 5, 2]]
[[4, 3], [], [10, 9, 8, 7, 6, 5, 2, 1]]
[[4], [3], [10, 9, 8, 7, 6, 5, 2, 1]]
[[4, 1], [3], [10, 9, 8, 7, 6, 5, 2]]
[[4, 1], [3, 2], [10, 9, 8, 7, 6, 5]]
[[4], [3, 2, 1], [10, 9, 8, 7, 6, 5]]
[[], [3, 2, 1], [10, 9, 8, 7, 6, 5, 4]]
[[], [3, 2], [10, 9, 8, 7, 6, 5, 4, 1]]
[[2], [3], [10, 9, 8, 7, 6, 5, 4, 1]]
[[2, 1], [3], [10, 9, 8, 7, 6, 5, 4]]
[[2, 1], [], [10, 9, 8, 7, 6, 5, 4, 3]]
[[2], [1], [10, 9, 8, 7, 6, 5, 4, 3]]
[[], [1], [10, 9, 8, 7, 6, 5, 4, 3, 2]]
[[], [], [10, 9, 8, 7, 6, 5, 4, 3, 2, 1]]
[Finished in 0.4s]