fork download
  1. def checkio(grid):
  2. inputArray = [];
  3. [inputArray.append([]) for y in range(9)]
  4. for y in range(9):
  5. inputArray[y] = grid[y]
  6. i, y = 0, 0
  7. def isValid(current):
  8. for row in current:
  9. test = []
  10. for n in row:
  11. if n == 0:
  12. return False
  13. test.append(2 ** (n - 1))
  14. if sum(test) != 511:
  15. return False
  16. return True
  17.  
  18.  
  19. def recursiveSudoku(current,notFirst,oldx,oldy,number,firstPass):
  20. global keepLooping
  21. if(keepLooping):
  22. if(isValid(current) == True):
  23. keepLooping = False
  24. print("done");
  25. for row in range(9):
  26. print(current[row])
  27.  
  28.  
  29. for row in range(9):
  30. print(current[row])
  31. print()
  32.  
  33. keepLooking = True
  34. for x in range(len(current)):
  35. for y in range(len(current)):
  36. if(keepLooking and current[x][y]==0):
  37. print(str(number))
  38. keepLooking = False
  39. if(firstPass):
  40. oldx.append(x)
  41. oldy.append(y)
  42. number=number+1
  43. for z in range(1, 10):
  44. print("outer"+str(number))
  45. current[x][y]=z
  46. recursiveSudoku(current,True,[x],[y],number,True)
  47. if(notFirst):
  48. wasFirst = (number<3)
  49. print("inner"+str(oldy)+" "+str(number))
  50. current[oldx[number-2]][oldy[number-2]]=0
  51. recursiveSudoku(current,wasFirst,oldx,oldy,number,False)
  52.  
  53. else:
  54. current
  55. recursiveSudoku(inputArray,False,[],[],0,True);
  56.  
  57.  
  58.  
  59. keepLooping=True
  60.  
  61. checkio([[0, 0, 0, 2, 1, 4, 7, 6, 8],
  62. [2, 7, 6, 8, 5, 3, 4, 1, 9],
  63. [8, 1, 4, 6, 7, 9, 2, 3, 5],
  64. [7, 4, 8, 5, 3, 1, 6, 9, 2],
  65. [6, 9, 1, 7, 4, 2, 5, 8, 3],
  66. [5, 3, 2, 9, 6, 8, 1, 7, 4],
  67. [1, 6, 9, 4, 8, 5, 3, 2, 7],
  68. [3, 2, 5, 1, 9, 7, 8, 4, 6],
  69. [4, 8, 7, 3, 2, 6, 9, 5, 1]])
Runtime error #stdin #stdout 0.02s 9016KB
stdin
Standard input is empty
stdout
[0, 0, 0, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
0
outer1
[1, 0, 0, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
1
outer2
[1, 1, 0, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer3
[1, 1, 1, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[1, 2]  3
[1, 1, 0, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
3
outer3
[1, 1, 1, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 2, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 3, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 4, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 5, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 6, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 7, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 8, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 2, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[1, 2]  3
[1, 1, 0, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
3
outer3
[1, 1, 1, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 2, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 3, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 4, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 5, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 6, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 7, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 8, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 3, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[1, 2]  3
[1, 1, 0, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
3
outer3
[1, 1, 1, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 2, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 3, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 4, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 5, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 6, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 7, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 8, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 4, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[1, 2]  3
[1, 1, 0, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
3
outer3
[1, 1, 1, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 2, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 3, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 4, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 5, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 6, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 7, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 8, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 5, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[1, 2]  3
[1, 1, 0, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
3
outer3
[1, 1, 1, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 2, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 3, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 4, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 5, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 6, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 7, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 8, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 6, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[1, 2]  3
[1, 1, 0, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
3
outer3
[1, 1, 1, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 2, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 3, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 4, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 5, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 6, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 7, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 8, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 7, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[1, 2]  3
[1, 1, 0, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
3
outer3
[1, 1, 1, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 2, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 3, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 4, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 5, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 6, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 7, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 8, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 8, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[1, 2]  3
[1, 1, 0, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
3
outer3
[1, 1, 1, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 2, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 3, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 4, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 5, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 6, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 7, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 8, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[1, 2]  3
[1, 1, 0, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
3
outer3
[1, 1, 1, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 2, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 3, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 4, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 5, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 6, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 7, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 8, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
outer3
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
outer2
[1, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
inner[0, 1]  2
[0, 1, 9, 2, 1, 4, 7, 6, 8]
[2, 7, 6, 8, 5, 3, 4, 1, 9]
[8, 1, 4, 6, 7, 9, 2, 3, 5]
[7, 4, 8, 5, 3, 1, 6, 9, 2]
[6, 9, 1, 7, 4, 2, 5, 8, 3]
[5, 3, 2, 9, 6, 8, 1, 7, 4]
[1, 6, 9, 4, 8, 5, 3, 2, 7]
[3, 2, 5, 1, 9, 7, 8, 4, 6]
[4, 8, 7, 3, 2, 6, 9, 5, 1]
()
2
out