#!/bin/python3
import sys,time,re
from pprint import pprint
sys.path.insert(0, '../../')
from fred import list2int,get_re,nprint,lprint,loadFile,toGrid, get_value_in_direction,addTuples,grid_valid
start_time = time.time()

input_f = 'input'
result = 0

dir = {
    'up': (-1, 0),
    'down': (1, 0),
    'left': (0, -1),
    'right': (0, 1)
}

grid = toGrid(input_f,list2int)

def find_path(grid:list,pos:set,cur:set):
    path = 0
    if cur == 9:
        return 1
    cur+=1
    for direction in ['up', 'down', 'left', 'right']:
        next_pos = addTuples(pos, dir[direction])
        if get_value_in_direction(grid,pos,direction)== cur:
            path += find_path(grid, next_pos, cur)
    return path


for r, row in enumerate(grid):
    for c, col in enumerate(row):
        if grid[r][c] == 0:
            for direction in ['up', 'down', 'left', 'right']:
                next_pos = addTuples((r,c), dir[direction])              
                if get_value_in_direction(grid,(r,c),direction) == 1:
                    result += find_path(grid,next_pos,1)

print(result)



print("--- %s seconds ---" % (time.time() - start_time))