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  6. +------++-------+
  7. +-----------------------+ 000? ||a0=a3 |
  8. | +------+|a3=0 |
  9. | |ck chg |
  10. | +-------+
  11. | +------++-------+
  12. +------+ ------------------------+ +-------------+ 00X0 ||a0=a2 |
  13. +-+ 00?? | a2==0 ? | +------+|a2=0 |
  14. | +------+ --+ | | |
  15. | | | +-------+
  16. | | | +------++-------+
  17. | | | +--+ 00XX ||a0=2*a2|
  18. | | +------+ -------------+ | +------+|a2=0 |
  19. | +--+ 00X? | a3==0 ? | |a3=0 |
  20. | +------+ --+ | +-------+
  21. | | | +-------+
  22. | | | |a0=a2 |
  23. | | +------+ --+ |a1=a3 |
  24. | +--+ 00XY | a2==a3 ? +------+|a2=0 |
  25. | +------+ -----+ 00XY ||a3=0 |
  26. | +------++-------+
  27. | +-------+
  28. | +------+|a0=a1 | +-------+
  29. | +--+ 0X00 ||a1=0 | +--+------+|a0=2*a1|
  30. +------+ --+ +------+ --+ +------+| | | | 0X0X ||a1=0 |
  31. +-+ 0??? | a1==0 ? +--+ 0X0? | a3==0 ? +-------+ | +------+|a3=0 |
  32. | +------+ --+ | +------+ --+ | +-------+
  33. | | | | +------+ --+ +-------+
  34. | | | +--+ 0X0Y | a2==a3 ? +------+|a0=a1 |
  35. | | | +------+ -----+ 0X0Y ||a1=a3 |
  36. | | | +------+|a3=0 |
  37. | | | +-------+ | |
  38. | | +------+ --+ |a0=2*a1| +-------+
  39. | +-+ 0X?? | a2==0 ? |a1=a3 | +-------+
  40. | +------+ --+ +------+|a3=0 | +------+|a0=a1 |
  41. | | +--+ 0XX? || | +--+ 0XYY ||a1=2*a2|
  42. | | +------+ --+ +------++-------+ | +------+|a2=0 |
  43. | +--+ 0XY? |a1==a2 ? | |a3=0 |
  44. | +------+ --+ | +-------+
  45. | | +------+ --+ +------++-------+
  46. | +--+ 0XY? | a2==a3 ? +--+ 0XYZ ||a0=a1 |
  47. | +------+ --+ +------+|a1=a3 |
  48. +------+ --+ |a3=0 |
  49. | ???? | a0==0 ? | |
  50. +------+ --+ +-------+
  51. | +------++-------+
  52. | +-------------+ X00X ||a0=2*a0|
  53. | +------+ -------------+ +------+|a3=0 |
  54. | +------+ -----+ X00? |a0==a3 ? | |
  55. | +-+ X0?? | a2==0 ? +------+ -------------+ +-------+
  56. | | +------+ --+ | +------++-------+
  57. | | | +-------------+ X00Y ||a1=a3 |
  58. | | | +------+|a3=0 |
  59. | | | |ck chg |
  60. | | | +-------+
  61. | | | +-------+
  62. | | | +------+|a0=2*a0|
  63. | | | +-------------+ X0X? ||a1=a3 |
  64. | | | | +------+|a2=0 |
  65. | | | +------+ -------------+ |a3=0 |
  66. | | +--+ X0Y? |a0==a2 ? +-------+
  67. | | +------+ --+ +-------+
  68. | | | +------+|a0=a1 |
  69. | | | +------+ ------+ X0YY ||a1=2*a2|
  70. | | +--+ X0Y? |a2==a3 ? +------+|a2=0 |
  71. | | +------+ ---+ |a3=0 |
  72. | +------+ --+ | +-------+
  73. +-+ X??? | a1==0 ? | +------++-------+
  74. +------+ --+ +--+ X0YZ ||a1=a2 |
  75. | +------+|a2=a3 |
  76. | |a3=0 |
  77. | | |
  78. | +-------+
  79. | +------++-------+
  80. | +-------------+ XX0? ||a0=2*a0|
  81. | | +------+|a1=a3 |
  82. | +------+ --------------+ |a3=0 |
  83. | +--+ XX?? | a2==0 ? | |
  84. | | +------+ ---+ +-------+
  85. | | | +------++-------+
  86. | | | +--+ XXYY ||a0=2*a0|
  87. | | | +------+ ---+ +------+|a1=2*a2|
  88. | | +--+ XXY? |a2==a3 ? |a2=0 |
  89. | | +------+ ---+ |a3=0 |
  90. | | | +-------+
  91. | | | +-------+
  92. | | | +------+|a0=2*a0|
  93. | | +--+ XXYZ ||a1=a2 |
  94. | +------+ --+ +------+|a2=a3 |
  95. +-+ XY?? |a0==a1 ? |a3=0 |
  96. +------+ --+ +-------+
  97. | +------++-------+
  98. | +------+ ------+ XY0Y ||a1=2*a1|
  99. | +--+ XY0? |a1==a3 ? +------+|a3=0 |
  100. | | +------+ ---+ | |
  101. | | | +-------+
  102. | | | +-------+
  103. | | | +------+|a2=a3 |
  104. | | +--+ XY0? ||a3=0 |
  105. | | +------+|ck chg |
  106. | | +-------+
  107. | | +------++-------+
  108. | | +--+ XYY? ||a0=2*a0|
  109. | | | +------+|a1=2*a2|
  110. | | | |a2=0 |
  111. | +------+ ---+ | |a3=0 |
  112. +--+ XY?? | a2==0 ? +------+ ---+ +-------+
  113. +------+ ------+ XYZ? |a1==a2 ? +-------+
  114. +------+ -+ +------+| |
  115. | +--+ XYZZ ||a2=2*a2|
  116. +-----------------+ | +------+|a3=0 |
  117. | | | |
  118. | | +-------+
  119. |+------+ ---+ +-------+
  120. ++ XYZ? |a2==a3 ? +------+| |
  121. +------+ ------+ XYZQ || |
  122. +------+| |
  123. | |
  124. +-------+
  125.  
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