;;;; -*- mode:Lisp; package:user -*- ;;;; ;;;; Created: 23 September 1992 ;;;; Purpose: Test Reference File Training a perceptron to recognize 0. Step 1: (0 0 0 0 0 0 0 0) + (0 1 1 1 1 1 1 1) --> (0 1 1 1 1 1 1 1) Step 2: (0 1 1 1 1 1 1 1) - (1 1 1 1 1 1 0 1) --> (-1 0 0 0 0 0 1 0) Training a perceptron to recognize 1. Step 1: (0 0 0 0 0 0 0 0) + (0 0 0 1 1 0 0 1) --> (0 0 0 1 1 0 0 1) Step 2: (0 0 0 1 1 0 0 1) - (0 1 1 1 1 1 1 1) --> (0 -1 -1 0 0 -1 -1 0) Step 3: (0 -1 -1 0 0 -1 -1 0) + (0 0 0 1 1 0 0 1) --> (0 -1 -1 1 1 -1 -1 1) Step 4: (0 -1 -1 1 1 -1 -1 1) - (0 0 1 1 1 0 0 1) --> (0 -1 -2 0 0 -1 -1 0) Step 5: (0 -1 -2 0 0 -1 -1 0) + (0 0 0 1 1 0 0 1) --> (0 -1 -2 1 1 -1 -1 1) Step 6: (0 -1 -2 1 1 -1 -1 1) - (0 0 1 1 1 0 0 1) --> (0 -1 -3 0 0 -1 -1 0) Step 7: (0 -1 -3 0 0 -1 -1 0) + (0 0 0 1 1 0 0 1) --> (0 -1 -3 1 1 -1 -1 1) Step 8: (0 -1 -3 1 1 -1 -1 1) - (1 1 0 1 1 0 0 1) --> (-1 -2 -3 0 0 -1 -1 0) Step 9: (-1 -2 -3 0 0 -1 -1 0) + (0 0 0 1 1 0 0 1) --> (-1 -2 -3 1 1 -1 -1 1) Training a perceptron to recognize 2. Step 1: (0 0 0 0 0 0 0 0) + (1 0 1 1 0 1 1 1) --> (1 0 1 1 0 1 1 1) Step 2: (1 0 1 1 0 1 1 1) - (0 0 0 1 1 0 0 1) --> (1 0 1 0 -1 1 1 0) Step 3: (1 0 1 0 -1 1 1 0) - (0 1 1 1 1 1 1 1) --> (1 -1 0 -1 -2 0 0 -1) Step 4: (1 -1 0 -1 -2 0 0 -1) + (1 0 1 1 0 1 1 1) --> (2 -1 1 0 -2 1 1 0) Step 5: (2 -1 1 0 -2 1 1 0) - (1 1 1 1 1 1 0 1) --> (1 -2 0 -1 -3 0 1 -1) Step 6: (1 -2 0 -1 -3 0 1 -1) + (1 0 1 1 0 1 1 1) --> (2 -2 1 0 -3 1 2 0) Step 7: (2 -2 1 0 -3 1 2 0) - (1 1 1 1 1 1 1 1) --> (1 -3 0 -1 -4 0 1 -1) Step 8: (1 -3 0 -1 -4 0 1 -1) + (1 0 1 1 0 1 1 1) --> (2 -3 1 0 -4 1 2 0) Training a perceptron to recognize 3. Step 1: (0 0 0 0 0 0 0 0) + (1 0 1 1 1 1 0 1) --> (1 0 1 1 1 1 0 1) Step 2: (1 0 1 1 1 1 0 1) - (1 0 1 1 0 1 1 1) --> (0 0 0 0 1 0 -1 0) Step 3: (0 0 0 0 1 0 -1 0) - (0 0 0 1 1 0 0 1) --> (0 0 0 -1 0 0 -1 -1) Step 4: (0 0 0 -1 0 0 -1 -1) + (1 0 1 1 1 1 0 1) --> (1 0 1 0 1 1 -1 0) Step 5: (1 0 1 0 1 1 -1 0) - (1 0 1 1 0 1 1 1) --> (0 0 0 -1 1 0 -2 -1) Step 6: (0 0 0 -1 1 0 -2 -1) + (1 0 1 1 1 1 0 1) --> (1 0 1 0 2 1 -2 0) Step 7: (1 0 1 0 2 1 -2 0) - (1 0 1 1 0 1 1 1) --> (0 0 0 -1 2 0 -3 -1) Step 8: (0 0 0 -1 2 0 -3 -1) - (1 1 1 0 1 1 0 1) --> (-1 -1 -1 -1 1 -1 -3 -2) Step 9: (-1 -1 -1 -1 1 -1 -3 -2) + (1 0 1 1 1 1 0 1) --> (0 -1 0 0 2 0 -3 -1) Step 10: (0 -1 0 0 2 0 -3 -1) - (0 0 0 1 1 0 0 1) --> (0 -1 0 -1 1 0 -3 -2) Step 11: (0 -1 0 -1 1 0 -3 -2) + (1 0 1 1 1 1 0 1) --> (1 -1 1 0 2 1 -3 -1) Step 12: (1 -1 1 0 2 1 -3 -1) - (0 0 0 1 1 0 0 1) --> (1 -1 1 -1 1 1 -3 -2) Step 13: (1 -1 1 -1 1 1 -3 -2) - (1 1 1 0 1 1 0 1) --> (0 -2 0 -1 0 0 -3 -3) Step 14: (0 -2 0 -1 0 0 -3 -3) + (1 0 1 1 1 1 0 1) --> (1 -2 1 0 1 1 -3 -2) Training a perceptron to recognize 4. Step 1: (0 0 0 0 0 0 0 0) + (1 1 0 1 1 0 0 1) --> (1 1 0 1 1 0 0 1) Step 2: (1 1 0 1 1 0 0 1) - (1 0 1 1 1 1 0 1) --> (0 1 -1 0 0 -1 0 0) Training a perceptron to recognize 5. Step 1: (0 0 0 0 0 0 0 0) + (1 1 1 0 1 1 0 1) --> (1 1 1 0 1 1 0 1) Step 2: (1 1 1 0 1 1 0 1) - (1 1 0 1 1 0 0 1) --> (0 0 1 -1 0 1 0 0) Step 3: (0 0 1 -1 0 1 0 0) - (1 0 1 1 1 1 0 1) --> (-1 0 0 -2 -1 0 0 -1) Step 4: (-1 0 0 -2 -1 0 0 -1) + (1 1 1 0 1 1 0 1) --> (0 1 1 -2 0 1 0 0) Step 5: (0 1 1 -2 0 1 0 0) - (0 1 1 1 1 1 1 1) --> (0 0 0 -3 -1 0 -1 -1) Step 6: (0 0 0 -3 -1 0 -1 -1) + (1 1 1 0 1 1 0 1) --> (1 1 1 -3 0 1 -1 0) Step 7: (1 1 1 -3 0 1 -1 0) - (1 1 1 1 1 1 0 1) --> (0 0 0 -4 -1 0 -1 -1) Step 8: (0 0 0 -4 -1 0 -1 -1) + (1 1 1 0 1 1 0 1) --> (1 1 1 -4 0 1 -1 0) Step 9: (1 1 1 -4 0 1 -1 0) - (1 1 1 0 1 1 1 1) --> (0 0 0 -4 -1 0 -2 -1) Step 10: (0 0 0 -4 -1 0 -2 -1) + (1 1 1 0 1 1 0 1) --> (1 1 1 -4 0 1 -2 0) Step 11: (1 1 1 -4 0 1 -2 0) - (1 1 1 0 1 1 1 1) --> (0 0 0 -4 -1 0 -3 -1) Step 12: (0 0 0 -4 -1 0 -3 -1) + (1 1 1 0 1 1 0 1) --> (1 1 1 -4 0 1 -3 0) Step 13: (1 1 1 -4 0 1 -3 0) - (1 1 1 0 1 1 1 1) --> (0 0 0 -4 -1 0 -4 -1) Step 14: (0 0 0 -4 -1 0 -4 -1) + (1 1 1 0 1 1 0 1) --> (1 1 1 -4 0 1 -4 0) Training a perceptron to recognize 6. Step 1: (0 0 0 0 0 0 0 0) + (1 1 1 0 1 1 1 1) --> (1 1 1 0 1 1 1 1) Step 2: (1 1 1 0 1 1 1 1) - (1 1 1 0 1 1 0 1) --> (0 0 0 0 0 0 1 0) Step 3: (0 0 0 0 0 0 1 0) - (1 0 1 1 0 1 1 1) --> (-1 0 -1 -1 0 -1 0 -1) Step 4: (-1 0 -1 -1 0 -1 0 -1) + (1 1 1 0 1 1 1 1) --> (0 1 0 -1 1 0 1 0) Step 5: (0 1 0 -1 1 0 1 0) - (1 1 1 0 1 1 0 1) --> (-1 0 -1 -1 0 -1 1 -1) Step 6: (-1 0 -1 -1 0 -1 1 -1) + (1 1 1 0 1 1 1 1) --> (0 1 0 -1 1 0 2 0) Step 7: (0 1 0 -1 1 0 2 0) - (1 1 1 0 1 1 0 1) --> (-1 0 -1 -1 0 -1 2 -1) Step 8: (-1 0 -1 -1 0 -1 2 -1) + (1 1 1 0 1 1 1 1) --> (0 1 0 -1 1 0 3 0) Step 9: (0 1 0 -1 1 0 3 0) - (1 1 1 0 1 1 0 1) --> (-1 0 -1 -1 0 -1 3 -1) Step 10: (-1 0 -1 -1 0 -1 3 -1) + (1 1 1 0 1 1 1 1) --> (0 1 0 -1 1 0 4 0) Step 11: (0 1 0 -1 1 0 4 0) - (1 1 1 0 1 1 0 1) --> (-1 0 -1 -1 0 -1 4 -1) Step 12: (-1 0 -1 -1 0 -1 4 -1) + (1 1 1 0 1 1 1 1) --> (0 1 0 -1 1 0 5 0) Step 13: (0 1 0 -1 1 0 5 0) - (1 1 1 0 1 1 0 1) --> (-1 0 -1 -1 0 -1 5 -1) Step 14: (-1 0 -1 -1 0 -1 5 -1) - (0 1 1 1 1 1 1 1) --> (-1 -1 -2 -2 -1 -2 4 -2) Step 15: (-1 -1 -2 -2 -1 -2 4 -2) + (1 1 1 0 1 1 1 1) --> (0 0 -1 -2 0 -1 5 -1) Training a perceptron to recognize 7. Step 1: (0 0 0 0 0 0 0 0) + (0 0 1 1 1 0 0 1) --> (0 0 1 1 1 0 0 1) Step 2: (0 0 1 1 1 0 0 1) - (1 1 1 0 1 1 1 1) --> (-1 -1 0 1 0 -1 -1 0) Step 3: (-1 -1 0 1 0 -1 -1 0) - (0 0 0 1 1 0 0 1) --> (-1 -1 0 0 -1 -1 -1 -1) Step 4: (-1 -1 0 0 -1 -1 -1 -1) + (0 0 1 1 1 0 0 1) --> (-1 -1 1 1 0 -1 -1 0) Step 5: (-1 -1 1 1 0 -1 -1 0) - (0 0 0 1 1 0 0 1) --> (-1 -1 1 0 -1 -1 -1 -1) Step 6: (-1 -1 1 0 -1 -1 -1 -1) + (0 0 1 1 1 0 0 1) --> (-1 -1 2 1 0 -1 -1 0) Step 7: (-1 -1 2 1 0 -1 -1 0) - (1 0 1 1 1 1 0 1) --> (-2 -1 1 0 -1 -2 -1 -1) Step 8: (-2 -1 1 0 -1 -2 -1 -1) + (0 0 1 1 1 0 0 1) --> (-2 -1 2 1 0 -2 -1 0) Step 9: (-2 -1 2 1 0 -2 -1 0) - (0 0 0 1 1 0 0 1) --> (-2 -1 2 0 -1 -2 -1 -1) Step 10: (-2 -1 2 0 -1 -2 -1 -1) + (0 0 1 1 1 0 0 1) --> (-2 -1 3 1 0 -2 -1 0) Step 11: (-2 -1 3 1 0 -2 -1 0) - (0 0 0 1 1 0 0 1) --> (-2 -1 3 0 -1 -2 -1 -1) Training a perceptron to recognize 8. Step 1: (0 0 0 0 0 0 0 0) + (1 1 1 1 1 1 1 1) --> (1 1 1 1 1 1 1 1) Step 2: (1 1 1 1 1 1 1 1) - (0 0 1 1 1 0 0 1) --> (1 1 0 0 0 1 1 0) Step 3: (1 1 0 0 0 1 1 0) - (1 1 1 0 1 1 1 1) --> (0 0 -1 0 -1 0 0 -1) Step 4: (0 0 -1 0 -1 0 0 -1) + (1 1 1 1 1 1 1 1) --> (1 1 0 1 0 1 1 0) Step 5: (1 1 0 1 0 1 1 0) - (0 0 1 1 1 0 0 1) --> (1 1 -1 0 -1 1 1 -1) Step 6: (1 1 -1 0 -1 1 1 -1) - (1 1 1 0 1 1 1 1) --> (0 0 -2 0 -2 0 0 -2) Step 7: (0 0 -2 0 -2 0 0 -2) + (1 1 1 1 1 1 1 1) --> (1 1 -1 1 -1 1 1 -1) Step 8: (1 1 -1 1 -1 1 1 -1) - (1 1 1 0 1 1 1 1) --> (0 0 -2 1 -2 0 0 -2) Step 9: (0 0 -2 1 -2 0 0 -2) + (1 1 1 1 1 1 1 1) --> (1 1 -1 2 -1 1 1 -1) Step 10: (1 1 -1 2 -1 1 1 -1) - (1 1 1 0 1 1 1 1) --> (0 0 -2 2 -2 0 0 -2) Step 11: (0 0 -2 2 -2 0 0 -2) + (1 1 1 1 1 1 1 1) --> (1 1 -1 3 -1 1 1 -1) Step 12: (1 1 -1 3 -1 1 1 -1) - (1 1 1 0 1 1 1 1) --> (0 0 -2 3 -2 0 0 -2) Step 13: (0 0 -2 3 -2 0 0 -2) + (1 1 1 1 1 1 1 1) --> (1 1 -1 4 -1 1 1 -1) Step 14: (1 1 -1 4 -1 1 1 -1) - (0 0 1 1 1 0 0 1) --> (1 1 -2 3 -2 1 1 -2) Step 15: (1 1 -2 3 -2 1 1 -2) - (1 1 0 1 1 0 0 1) --> (0 0 -2 2 -3 1 1 -3) Step 16: (0 0 -2 2 -3 1 1 -3) + (1 1 1 1 1 1 1 1) --> (1 1 -1 3 -2 2 2 -2) Step 17: (1 1 -1 3 -2 2 2 -2) - (1 1 1 0 1 1 1 1) --> (0 0 -2 3 -3 1 1 -3) Step 18: (0 0 -2 3 -3 1 1 -3) + (1 1 1 1 1 1 1 1) --> (1 1 -1 4 -2 2 2 -2) Step 19: (1 1 -1 4 -2 2 2 -2) - (1 1 1 0 1 1 1 1) --> (0 0 -2 4 -3 1 1 -3) Step 20: (0 0 -2 4 -3 1 1 -3) - (1 0 1 1 0 1 1 1) --> (-1 0 -3 3 -3 0 0 -4) Step 21: (-1 0 -3 3 -3 0 0 -4) + (1 1 1 1 1 1 1 1) --> (0 1 -2 4 -2 1 1 -3) Step 22: (0 1 -2 4 -2 1 1 -3) - (1 0 1 1 0 1 1 1) --> (-1 1 -3 3 -2 0 0 -4) Step 23: (-1 1 -3 3 -2 0 0 -4) + (1 1 1 1 1 1 1 1) --> (0 2 -2 4 -1 1 1 -3) Step 24: (0 2 -2 4 -1 1 1 -3) - (1 1 0 1 1 0 0 1) --> (-1 1 -2 3 -2 1 1 -4) Step 25: (-1 1 -2 3 -2 1 1 -4) + (1 1 1 1 1 1 1 1) --> (0 2 -1 4 -1 2 2 -3) Step 26: (0 2 -1 4 -1 2 2 -3) - (1 1 1 0 1 1 1 1) --> (-1 1 -2 4 -2 1 1 -4) Step 27: (-1 1 -2 4 -2 1 1 -4) + (1 1 1 1 1 1 1 1) --> (0 2 -1 5 -1 2 2 -3) Step 28: (0 2 -1 5 -1 2 2 -3) - (1 1 1 0 1 1 1 1) --> (-1 1 -2 5 -2 1 1 -4) Step 29: (-1 1 -2 5 -2 1 1 -4) + (1 1 1 1 1 1 1 1) --> (0 2 -1 6 -1 2 2 -3) Step 30: (0 2 -1 6 -1 2 2 -3) - (0 0 1 1 1 0 0 1) --> (0 2 -2 5 -2 2 2 -4) Step 31: (0 2 -2 5 -2 2 2 -4) - (1 1 0 1 1 0 0 1) --> (-1 1 -2 4 -3 2 2 -5) Step 32: (-1 1 -2 4 -3 2 2 -5) + (1 1 1 1 1 1 1 1) --> (0 2 -1 5 -2 3 3 -4) Step 33: (0 2 -1 5 -2 3 3 -4) - (1 1 1 0 1 1 1 1) --> (-1 1 -2 5 -3 2 2 -5) Step 34: (-1 1 -2 5 -3 2 2 -5) - (1 0 1 1 0 1 1 1) --> (-2 1 -3 4 -3 1 1 -6) Step 35: (-2 1 -3 4 -3 1 1 -6) + (1 1 1 1 1 1 1 1) --> (-1 2 -2 5 -2 2 2 -5) Step 36: (-1 2 -2 5 -2 2 2 -5) - (1 0 1 1 0 1 1 1) --> (-2 2 -3 4 -2 1 1 -6) Step 37: (-2 2 -3 4 -2 1 1 -6) + (1 1 1 1 1 1 1 1) --> (-1 3 -2 5 -1 2 2 -5) Step 38: (-1 3 -2 5 -1 2 2 -5) - (1 1 0 1 1 0 0 1) --> (-2 2 -2 4 -2 2 2 -6) Step 39: (-2 2 -2 4 -2 2 2 -6) + (1 1 1 1 1 1 1 1) --> (-1 3 -1 5 -1 3 3 -5) Step 40: (-1 3 -1 5 -1 3 3 -5) - (1 1 1 0 1 1 1 1) --> (-2 2 -2 5 -2 2 2 -6) Step 41: (-2 2 -2 5 -2 2 2 -6) - (0 1 1 1 1 1 1 1) --> (-2 1 -3 4 -3 1 1 -7) Step 42: (-2 1 -3 4 -3 1 1 -7) + (1 1 1 1 1 1 1 1) --> (-1 2 -2 5 -2 2 2 -6) Step 43: (-1 2 -2 5 -2 2 2 -6) - (0 1 1 1 1 1 1 1) --> (-1 1 -3 4 -3 1 1 -7) Step 44: (-1 1 -3 4 -3 1 1 -7) + (1 1 1 1 1 1 1 1) --> (0 2 -2 5 -2 2 2 -6) Step 45: (0 2 -2 5 -2 2 2 -6) - (1 0 1 1 0 1 1 1) --> (-1 2 -3 4 -2 1 1 -7) Step 46: (-1 2 -3 4 -2 1 1 -7) + (1 1 1 1 1 1 1 1) --> (0 3 -2 5 -1 2 2 -6) Step 47: (0 3 -2 5 -1 2 2 -6) - (1 1 0 1 1 0 0 1) --> (-1 2 -2 4 -2 2 2 -7) Step 48: (-1 2 -2 4 -2 2 2 -7) + (1 1 1 1 1 1 1 1) --> (0 3 -1 5 -1 3 3 -6) Step 49: (0 3 -1 5 -1 3 3 -6) - (1 1 1 0 1 1 1 1) --> (-1 2 -2 5 -2 2 2 -7) Step 50: (-1 2 -2 5 -2 2 2 -7) + (1 1 1 1 1 1 1 1) --> (0 3 -1 6 -1 3 3 -6) Step 51: (0 3 -1 6 -1 3 3 -6) - (1 1 1 0 1 1 1 1) --> (-1 2 -2 6 -2 2 2 -7) Step 52: (-1 2 -2 6 -2 2 2 -7) - (0 1 1 1 1 1 1 1) --> (-1 1 -3 5 -3 1 1 -8) Step 53: (-1 1 -3 5 -3 1 1 -8) + (1 1 1 1 1 1 1 1) --> (0 2 -2 6 -2 2 2 -7) Step 54: (0 2 -2 6 -2 2 2 -7) - (1 0 1 1 0 1 1 1) --> (-1 2 -3 5 -2 1 1 -8) Step 55: (-1 2 -3 5 -2 1 1 -8) + (1 1 1 1 1 1 1 1) --> (0 3 -2 6 -1 2 2 -7) Step 56: (0 3 -2 6 -1 2 2 -7) - (1 1 0 1 1 0 0 1) --> (-1 2 -2 5 -2 2 2 -8) Step 57: (-1 2 -2 5 -2 2 2 -8) + (1 1 1 1 1 1 1 1) --> (0 3 -1 6 -1 3 3 -7) Step 58: (0 3 -1 6 -1 3 3 -7) - (1 1 0 1 1 0 0 1) --> (-1 2 -1 5 -2 3 3 -8) Step 59: (-1 2 -1 5 -2 3 3 -8) - (1 0 1 1 0 1 1 1) --> (-2 2 -2 4 -2 2 2 -9) Step 60: (-2 2 -2 4 -2 2 2 -9) + (1 1 1 1 1 1 1 1) --> (-1 3 -1 5 -1 3 3 -8) Step 61: (-1 3 -1 5 -1 3 3 -8) - (1 0 1 1 0 1 1 1) --> (-2 3 -2 4 -1 2 2 -9) Step 62: (-2 3 -2 4 -1 2 2 -9) + (1 1 1 1 1 1 1 1) --> (-1 4 -1 5 0 3 3 -8) Step 63: (-1 4 -1 5 0 3 3 -8) - (1 0 1 1 0 1 1 1) --> (-2 4 -2 4 0 2 2 -9) Step 64: (-2 4 -2 4 0 2 2 -9) - (0 1 1 1 1 1 1 1) --> (-2 3 -3 3 -1 1 1 -10) Step 65: (-2 3 -3 3 -1 1 1 -10) + (1 1 1 1 1 1 1 1) --> (-1 4 -2 4 0 2 2 -9) Step 66: (-1 4 -2 4 0 2 2 -9) - (0 1 1 1 1 1 1 1) --> (-1 3 -3 3 -1 1 1 -10) Step 67: (-1 3 -3 3 -1 1 1 -10) + (1 1 1 1 1 1 1 1) --> (0 4 -2 4 0 2 2 -9) Step 68: (0 4 -2 4 0 2 2 -9) - (0 1 1 1 1 1 1 1) --> (0 3 -3 3 -1 1 1 -10) Step 69: (0 3 -3 3 -1 1 1 -10) + (1 1 1 1 1 1 1 1) --> (1 4 -2 4 0 2 2 -9) Step 70: (1 4 -2 4 0 2 2 -9) - (0 1 1 1 1 1 1 1) --> (1 3 -3 3 -1 1 1 -10) Step 71: (1 3 -3 3 -1 1 1 -10) + (1 1 1 1 1 1 1 1) --> (2 4 -2 4 0 2 2 -9) Step 72: (2 4 -2 4 0 2 2 -9) - (1 1 0 1 1 0 0 1) --> (1 3 -2 3 -1 2 2 -10) Step 73: (1 3 -2 3 -1 2 2 -10) + (1 1 1 1 1 1 1 1) --> (2 4 -1 4 0 3 3 -9) Step 74: (2 4 -1 4 0 3 3 -9) - (1 1 1 0 1 1 1 1) --> (1 3 -2 4 -1 2 2 -10) Step 75: (1 3 -2 4 -1 2 2 -10) + (1 1 1 1 1 1 1 1) --> (2 4 -1 5 0 3 3 -9) Step 76: (2 4 -1 5 0 3 3 -9) - (1 1 1 0 1 1 1 1) --> (1 3 -2 5 -1 2 2 -10) Step 77: (1 3 -2 5 -1 2 2 -10) + (1 1 1 1 1 1 1 1) --> (2 4 -1 6 0 3 3 -9) Step 78: (2 4 -1 6 0 3 3 -9) - (1 1 1 0 1 1 1 1) --> (1 3 -2 6 -1 2 2 -10) Training a perceptron to recognize 9. Step 1: (0 0 0 0 0 0 0 0) + (1 1 1 1 1 1 0 1) --> (1 1 1 1 1 1 0 1) Step 2: (1 1 1 1 1 1 0 1) - (1 1 1 1 1 1 1 1) --> (0 0 0 0 0 0 -1 0) Step 3: (0 0 0 0 0 0 -1 0) + (1 1 1 1 1 1 0 1) --> (1 1 1 1 1 1 -1 1) Step 4: (1 1 1 1 1 1 -1 1) - (1 1 1 1 1 1 1 1) --> (0 0 0 0 0 0 -2 0) Step 5: (0 0 0 0 0 0 -2 0) + (1 1 1 1 1 1 0 1) --> (1 1 1 1 1 1 -2 1) Step 6: (1 1 1 1 1 1 -2 1) - (1 1 1 1 1 1 1 1) --> (0 0 0 0 0 0 -3 0) Step 7: (0 0 0 0 0 0 -3 0) + (1 1 1 1 1 1 0 1) --> (1 1 1 1 1 1 -3 1) Step 8: (1 1 1 1 1 1 -3 1) - (1 1 1 1 1 1 1 1) --> (0 0 0 0 0 0 -4 0) Step 9: (0 0 0 0 0 0 -4 0) + (1 1 1 1 1 1 0 1) --> (1 1 1 1 1 1 -4 1) Step 10: (1 1 1 1 1 1 -4 1) - (1 1 1 1 1 1 1 1) --> (0 0 0 0 0 0 -5 0) Step 11: (0 0 0 0 0 0 -5 0) + (1 1 1 1 1 1 0 1) --> (1 1 1 1 1 1 -5 1) Step 12: (1 1 1 1 1 1 -5 1) - (1 1 1 1 1 1 1 1) --> (0 0 0 0 0 0 -6 0) Step 13: (0 0 0 0 0 0 -6 0) + (1 1 1 1 1 1 0 1) --> (1 1 1 1 1 1 -6 1) Step 14: (1 1 1 1 1 1 -6 1) - (1 1 1 1 1 1 1 1) --> (0 0 0 0 0 0 -7 0) Step 15: (0 0 0 0 0 0 -7 0) + (1 1 1 1 1 1 0 1) --> (1 1 1 1 1 1 -7 1) Step 16: (1 1 1 1 1 1 -7 1) - (0 0 1 1 1 0 0 1) --> (1 1 0 0 0 1 -7 0) Step 17: (1 1 0 0 0 1 -7 0) - (1 1 1 0 1 1 0 1) --> (0 0 -1 0 -1 0 -7 -1) Step 18: (0 0 -1 0 -1 0 -7 -1) + (1 1 1 1 1 1 0 1) --> (1 1 0 1 0 1 -7 0) Step 19: (1 1 0 1 0 1 -7 0) - (0 0 1 1 1 0 0 1) --> (1 1 -1 0 -1 1 -7 -1) Step 20: (1 1 -1 0 -1 1 -7 -1) + (1 1 1 1 1 1 0 1) --> (2 2 0 1 0 2 -7 0) Step 21: (2 2 0 1 0 2 -7 0) - (0 0 1 1 1 0 0 1) --> (2 2 -1 0 -1 2 -7 -1) Step 22: (2 2 -1 0 -1 2 -7 -1) - (1 1 1 0 1 1 0 1) --> (1 1 -2 0 -2 1 -7 -2) Step 23: (1 1 -2 0 -2 1 -7 -2) + (1 1 1 1 1 1 0 1) --> (2 2 -1 1 -1 2 -7 -1) Step 24: (2 2 -1 1 -1 2 -7 -1) - (1 1 1 0 1 1 0 1) --> (1 1 -2 1 -2 1 -7 -2) Step 25: (1 1 -2 1 -2 1 -7 -2) + (1 1 1 1 1 1 0 1) --> (2 2 -1 2 -1 2 -7 -1) Step 26: (2 2 -1 2 -1 2 -7 -1) - (1 1 1 0 1 1 0 1) --> (1 1 -2 2 -2 1 -7 -2) Step 27: (1 1 -2 2 -2 1 -7 -2) + (1 1 1 1 1 1 0 1) --> (2 2 -1 3 -1 2 -7 -1) Step 28: (2 2 -1 3 -1 2 -7 -1) - (1 1 1 0 1 1 0 1) --> (1 1 -2 3 -2 1 -7 -2) Step 29: (1 1 -2 3 -2 1 -7 -2) - (1 1 0 1 1 0 0 1) --> (0 0 -2 2 -3 1 -7 -3) Step 30: (0 0 -2 2 -3 1 -7 -3) + (1 1 1 1 1 1 0 1) --> (1 1 -1 3 -2 2 -7 -2) Step 31: (1 1 -1 3 -2 2 -7 -2) - (1 1 0 1 1 0 0 1) --> (0 0 -1 2 -3 2 -7 -3) Step 32: (0 0 -1 2 -3 2 -7 -3) + (1 1 1 1 1 1 0 1) --> (1 1 0 3 -2 3 -7 -2) Step 33: (1 1 0 3 -2 3 -7 -2) - (1 1 1 0 1 1 0 1) --> (0 0 -1 3 -3 2 -7 -3) Step 34: (0 0 -1 3 -3 2 -7 -3) + (1 1 1 1 1 1 0 1) --> (1 1 0 4 -2 3 -7 -2) Step 35: (1 1 0 4 -2 3 -7 -2) - (1 1 1 0 1 1 0 1) --> (0 0 -1 4 -3 2 -7 -3) Step 36: (0 0 -1 4 -3 2 -7 -3) + (1 1 1 1 1 1 0 1) --> (1 1 0 5 -2 3 -7 -2) Step 37: (1 1 0 5 -2 3 -7 -2) - (0 0 1 1 1 0 0 1) --> (1 1 -1 4 -3 3 -7 -3) Step 38: (1 1 -1 4 -3 3 -7 -3) - (1 0 1 1 1 1 0 1) --> (0 1 -2 3 -4 2 -7 -4) Step 39: (0 1 -2 3 -4 2 -7 -4) + (1 1 1 1 1 1 0 1) --> (1 2 -1 4 -3 3 -7 -3) Step 40: (1 2 -1 4 -3 3 -7 -3) - (1 1 0 1 1 0 0 1) --> (0 1 -1 3 -4 3 -7 -4) Step 41: (0 1 -1 3 -4 3 -7 -4) + (1 1 1 1 1 1 0 1) --> (1 2 0 4 -3 4 -7 -3) Step 42: (1 2 0 4 -3 4 -7 -3) - (1 1 1 0 1 1 0 1) --> (0 1 -1 4 -4 3 -7 -4) Step 43: (0 1 -1 4 -4 3 -7 -4) + (1 1 1 1 1 1 0 1) --> (1 2 0 5 -3 4 -7 -3) Step 44: (1 2 0 5 -3 4 -7 -3) - (1 1 1 0 1 1 0 1) --> (0 1 -1 5 -4 3 -7 -4) Step 45: (0 1 -1 5 -4 3 -7 -4) + (1 1 1 1 1 1 0 1) --> (1 2 0 6 -3 4 -7 -3) Step 46: (1 2 0 6 -3 4 -7 -3) - (1 1 1 0 1 1 0 1) --> (0 1 -1 6 -4 3 -7 -4)