home *** CD-ROM | disk | FTP | other *** search
/ norge.freeshell.org (192.94.73.8) / 192.94.73.8.tar / 192.94.73.8 / pub / hacking / HAKMEM next >
Text File  |  2003-07-14  |  28KB  |  587 lines
  1.  
  2.  
  3.     [1]Massachusetts Institute of Technology
  4.     [2]A. I. Laboratory
  5.     Artificial Intelligence Memo No. 239
  6.     February 29, 1972
  7.  
  8.                                     HAKMEM
  9.  
  10.     M. Beeler [beeler@bbn.com]
  11.     R. W. Gosper [rwg@newton.macsyma.com]
  12.     [5]R. Schroeppel [rcs@cs.arizona.edu]
  13.  
  14.    [Retyped  and formatted in [6]'html' ('Web browser format) by [7]Henry
  15.    Baker, April, 1995. The goal of this 'html' document is to make HAKMEM
  16.    available  to  the widest possible audience -- including those without
  17.    bitmapped  graphics browsers. Therefore, equations have been formatted
  18.    to be readable even on ASCII browsers such as [8]'lynx'. Click [9]here
  19.    to  get  original  AI  Memo 239 in 400 dots/inch, 1 bit/pixel, Group 4
  20.    facsimile [10]TIFF format (a single 5 megabyte [11]gzip compressed tar
  21.    file, AIM-239.tiff.tar.gz).]
  22.  
  23.    Work  reported  herein  was  conducted  at the Artificial Intelligence
  24.    Laboratory,  a  Massachusetts Institute of Technology research program
  25.    supported  in part by the [12]Advanced Research Projects Agency of the
  26.    Department  of  Defense  and monitored by the Office of Naval Research
  27.    under Contract Number N00014-70-A-0362-0002.
  28.  
  29.    Reproduction  of  this document, in whole or in part, is permitted for
  30.    any purpose of the United States Government.
  31.  
  32.    Compiled  with  the  hope that a record of the random things people do
  33.    around here can save some duplication of effort -- except for fun.
  34.  
  35.    Here  is  some  little known data which may be of interest to computer
  36.    hackers.  The  items and examples are so sketchy that to decipher them
  37.    may require more sincerity and curiosity than a non-hacker can muster.
  38.    Doubtless,  little  of this is new, but nowadays it's hard to tell. So
  39.    we  must  be  content to give you an insight, or save you some cycles,
  40.    and to welcome further contributions of items, new or used.
  41.  
  42.    The  classification of items into sections is even more illogical than
  43.    necessary.   This   is   because  later  elaborations  tend  to  shift
  44.    perspective  on  many  items,  and  this  elaboration will (hopefully)
  45.    continue   after   publication,   since   this  text  is  retained  in
  46.    "machinable"  form.  We  forgive  in  advance  anyone deterred by this
  47.    wretched typography.
  48.  
  49.    People referred to are from the A. I. Lab:
  50. Marvin Minsky        [minsky@ai.mit.edu]
  51. Bill Gosper          [rwg@newton.macsyma.com]
  52. Michael Beeler       [beeler@bbn.com]
  53. Joe Cohen
  54. Jerry Freiberg
  55. John Roe
  56. Rich Schroeppel      [rcs@cs.arizona.edu]
  57. David Silver
  58. Michael Speciner
  59. Richard Stallman     [rms@ai.mit.edu]
  60. [13]Gerald Sussman       [gjs@ai.mit.edu]
  61. David Waltz
  62.  
  63.    Once at the A. I. Lab but now elsewhere:
  64. Jan Kok                  William Henneman
  65. Rici Liknaitzky          George Mitchell
  66. Peter Samson             Stuart Nelson
  67. Roger Banks              Rollo Silver
  68. [14]Mike Paterson            [Mike.Paterson@dcs.warwick.ac.uk]
  69.  
  70.    at [15]Digital Equipment Corporation:
  71. Jud Lenard               Dave Plumer
  72. Ben Gurley (deceased)    Steve Root
  73.  
  74.    elsewhere at M.I.T.:
  75. Gene Salamin             PDP-1 hackers
  76. Eric Jensen              Frances Yao
  77. Edward Fredkin
  78.  
  79.    once at M.I.T., but now elsewhere:
  80. Jackson Wright           Steve Brown
  81. Malcolm Rayfield
  82.  
  83.    in France:
  84. Marco Schutzenberger     Henry Cohen
  85.  
  86.    at Computer Corporation of America:
  87. Bill Mann
  88.  
  89.    at [16]BBN:
  90. Robert Clements
  91.  
  92.    CAVEATS:
  93.  
  94.    Some  of  this  material  is  very inside -- many readers will have to
  95.    excuse cryptic references.
  96.  
  97.    The  label  "PROBLEM" does not always mean exercise; if no solution is
  98.    given,  it means we couldn't solve it. If you solve a problem in here,
  99.    let us know.
  100.  
  101.    Unless  otherwise  stated,  all  computer programs are in [17]PDP-6/10
  102.    assembly language.
  103.  
  104. CONTENTS, HAKMEM 140
  105.  
  106.      * [18]Geometry, Algebra, Calculus
  107.           + [19]Item 1 Fractional factorials
  108.           + [20]Item 2 N-gon diagonals
  109.           + [21]Item 3 Convergence of Newton's square roots
  110.           + [22]Item 4 Quartic discriminant
  111.           + [23]Item 5 General discriminant
  112.           + [24]Item 6 Symmetric functions
  113.           + [25]Item 7 Symmetric functions
  114.           + [26]Item 8 Cubic solution
  115.           + [27]Item 9 Quartic solution
  116.           + [28]Item 10 Trigonometric cubic solution
  117.           + [29]Item 11 Conformal mappings of N-space
  118.      * [30]Recurrence Relations
  119.           + [31]Item 12 Fast Fibonacci Transform
  120.           + [32]Item 13 Linear Recurrence Relations
  121.           + [33]Item 14 Rapid Recurrences
  122.           + [34]Item 15 Chebychev polynomials
  123.           + [35]Item 16 Tangents and arctangents
  124.      * [36]Boolean Algebra
  125.           + [37]Item 17 Minimize AND's
  126.           + [38]Item 18 Count monotonic Boolean functions
  127.           + [39]Item 19 2-NOT's
  128.           + [40]Item 20 Venn Diagrams
  129.           + [41]Item 21 Cover character raster
  130.           + [42]Item 22 Binary masks
  131.           + [43]Item 23 Plus and XOR
  132.           + [44]Item 24 Venn Diagrams
  133.      * [45]Random Numbers
  134.           + [46]Item 25 Random number generators
  135.           + [47]Item 26 Gaussian distribution
  136.           + [48]Item 27 Random unit vectors in N-space
  137.      * [49]Number Theory, Primes, Probability
  138.           + [50]Item 28 Mersenne 125 is composite
  139.           + [51]Item 29 Probability of largest prime factor
  140.           + [52]Item 30 Twin Primes
  141.           + [53]Item 31 A Ramanujan problem
  142.           + [54]Item 32 Distribution of fractions
  143.           + [55]Item 33 Russian doll primes
  144.           + [56]Item 34 Factorial and integer square root
  145.           + [57]Item 35 Arithmetic progressions
  146.           + [58]Item 36 Squares with no zero digits
  147.           + [59]Item 37 Numbers with each digit
  148.           + [60]Item 38 Forward differences
  149.           + [61]Item 39 Sequences of digits
  150.           + [62]Item 40 Variance of a sum
  151.           + [63]Item 41 Number of primes less than 2^18
  152.           + [64]Item 42 Probability of PingPong winner
  153.           + [65]Item 43 Multinomial coefficients
  154.           + [66]Item 44 Recurrences for multinomial coefficients
  155.           + [67]Item 45 Locus of steps
  156.           + [68]Item 46 Distribution of bridge hands
  157.           + [69]Item 47 Fibonacci series mod P
  158.           + [70]Item 48 Visibility on 2D lattice
  159.           + [71]Item 49 Magic hexagon
  160.           + [72]Item 50 No magic cubes of order 4
  161.           + [73]Item 51 No magic tesseract of order 5
  162.           + [74]Item 52 Relatively prime probability
  163.           + [75]Item 53 Lack of common divisors
  164.           + [76]Item 54 Probability of even denominators
  165.           + [77]Item 55 Gaussian integers
  166.           + [78]Item 56 "Length" of a number
  167.           + [79]Item 57 Zero digits in powers of two
  168.           + [80]Item 58 Sum of cubes
  169.           + [81]Item 59 Interesting square
  170.           + [82]Item 60 Perfect numbers
  171.           + [83]Item 61 Amicable pairs
  172.           + [84]Item 62 Amicable pairs
  173.           + [85]Item 63 Joys of 239
  174.      * [86]Automata Theory
  175.           + [87]Item 64 2-counter machines
  176.           + [88]Item 65 Complexity of pi(X)
  177.           + [89]Item 66 Space-filling curves
  178.      * [90]Games
  179.           + [91]Item 67 "Poker coins"
  180.           + [92]Item 68 Blackout
  181.           + [93]Item 69 Dots
  182.           + [94]Item 70 Chess problem
  183.           + [95]Item 71 Instant Insanity
  184.           + [96]Item 72 Window-dice
  185.           + [97]Item 73 Sim
  186.           + [98]Item 74 Tactix
  187.           + [99]Item 75 Peg solitaire
  188.           + [100]Item 76 Hi-Q
  189.      * [101]Proposed Computer Programs
  190.  
  191.      * [102]Problem 77 Counting polyominos
  192.      * [103]Problem 78 Solve minichess
  193.      * [104]Problem 79 Solve the tiger puzzle
  194.      * [105]Problem 80 Find smallest squared square
  195.      * [106]Problem 81 Counting magic squares
  196.      * [107]Problem 82 Counting semigroups
  197.      * [108]Problem 83 Counting inscribed circles
  198.      * [109]Problem 84 Solve pentominos
  199.      * [110]Problem 85 Geometric dissections
  200.      * [111]Problem 86 Domino coverings
  201.      * [112]Problem 87 Analyze giveaway chess
  202.      * [113]Problem 88 Analyze escalation chess
  203.      * [114]Problem 89 Analyze "4 pawns"
  204.      * [115]Problem 90 Solve Scarne's game Teeko
  205.      * [116]Problem 91 Solve "five-in-a-row"
  206.      * [117]Problem 92 Solve 4x4x4 Tic-Tac-Toe
  207.      * [118]Problem 93 Solve checkers
  208.      * [119]Problem 94 Solve Hex
  209.      * [120]Problem 95 Solve chess
  210.      * [121]Problem 96 Solve Go
  211.  
  212.      [122]Continued Fractions
  213.      * [123]Item 97 Sqrt(2), Sqrt(3)
  214.      * [124]Item 98 Minimum of factorial function
  215.      * [125]Item 99 Partial quotients in arithmetic progression
  216.      * [126]Item 100 Product
  217.      * [127]Item 101A Continued fraction representation
  218.      * [128]Item 101B Continued fraction arithmetic
  219.      * [129]Item 101C Rationals in intervals
  220.  
  221.      [130]Group Theory
  222.      * [131]Item 102 Group-like definitions
  223.      * [132]Item 103 Hamiltonian paths
  224.      * [133]Item 104 Permuting bits on PDP-6/10
  225.  
  226.      [134]Set Theory
  227.      * [135]Item 105 Closure and complement
  228.  
  229.      [136]Quaternions
  230.      * [137]Item 107 Quaternions
  231.  
  232.      [138]Polyominos, etc.
  233.      * [139]Item 108 Counting polyominos
  234.      * [140]Item 109 Tessellating the plane
  235.      * [141]Item 110 Covering rectangles
  236.      * [142]Item 111 Domino covering
  237.      * [143]Item 112 Polyiamonds
  238.  
  239.      [144]Topology
  240.      * [145]Item 113
  241.      * [146]Item 114
  242.      * [147]Item 115
  243.  
  244.      [148]Series
  245.      * [149]Item 116
  246.      * [150]Item 117 Gamma
  247.      * [151]Item 118 N^N
  248.      * [152]Item 119 Pi series
  249.      * [153]Item 120 Accelerating series
  250.      * [154]Item 121 Bernoulli polynomials
  251.      * [155]Item 122 Parity number
  252.      * [156]Item 123 Fourier clocks
  253.      * [157]Item 124
  254.      * [158]Item 125 Radius of convergence
  255.  
  256.      [159]Flows and Iterated Functions
  257.      * [160]Item 126 Flow for Newton's square root
  258.      * [161]Item 127 Polynomial functions which commute
  259.      * [162]Item 128 Binary/negative binary radix flow
  260.      * [163]Item 129 Flow power series
  261.      * [164]Item 130 Flow power series
  262.      * [165]Item 131 Arithmetic geometric mean
  263.      * [166]Item 132 Loop detector
  264.      * [167]Item 133 3 N + 1 problem
  265.      * [168]Item 134 Numbers to English words flow
  266.      * [169]Item 135 The "C" Curve
  267.  
  268.      [170]Pi
  269.      * [171]Item 136 Gaussian integers
  270.      * [172]Item 137 Arctangent formulas for pi
  271.      * [173]Item 138 Arctangent formulas for pi
  272.      * [174]Item 139 Ramanujan formulas for pi
  273.      * [175]Item 140 Continued fraction for pi
  274.      * [176]Item 141 Pi digits
  275.      * [177]Item 142 Pi from fast trig functions
  276.      * [178]Item 143 AGM for elliptic integrals, log, and pi
  277.      * [179]Item 144 AGM for pi
  278.  
  279.      [180]Programming Hacks
  280.      * [181]Item 145 Display/sound
  281.      * [182]Item 146 Munching squares
  282.      * [183]Item 147 Munching squares
  283.      * [184]Item 148 Munching squares
  284.      * [185]Item 149 Circle algorithm
  285.      * [186]Item 150 Circle algorithm
  286.      * [187]Item 151 Circle algorithm
  287.      * [188]Item 152 Circle algorithm
  288.      * [189]Item 153 3D solids on 2D display
  289.      * [190]Item 154 Twos-complement arithmetic
  290.      * [191]Item 155 Subtract right from left
  291.      * [192]Item 156 Make AOBJN pointer
  292.      * [193]Item 157 Make AOBJN pointer
  293.      * [194]Item 158 Recursive SIN/COS
  294.      * [195]Item 159 Recursive SIN/COS
  295.      * [196]Item 160 Log base 2
  296.      * [197]Item 161 Swap two locations
  297.      * [198]Item 162 Swap two bits
  298.      * [199]Item 163 Exchange two Lisp variables
  299.      * [200]Item 164 Max of byte pointers
  300.      * [201]Item 165 Byte pointers
  301.      * [202]Item 166 Rotate 3 accumulators
  302.      * [203]Item 167 Parity, count, reverse bits
  303.      * [204]Item 168 PDP-1 sounds
  304.      * [205]Item 169 Count ones
  305.      * [206]Item 170 Decimal print routines
  306.      * [207]Item 171 Division by zero
  307.      * [208]Item 172 Two word Lisp CONS
  308.      * [209]Item 173 Fix float
  309.      * [210]Item 174 Fix point of float function
  310.      * [211]Item 175 Next higher
  311.  
  312.      [212]Programming Algorithms, Heuristics
  313.      * [213]Item 176 BANANA Phenomenon
  314.      * [214]Item 177 Drawing Curves Incrementally
  315.      * [215]Item 178 Evaluating Functions
  316.      * [216]Item 179 Searching Character Strings
  317.      * [217]Item 180 Finding Corners in Images
  318.  
  319.      [218]Hardware
  320.      * [219]Item 181 Floating Point
  321.      * [220]Item 182 Voltage regulators
  322.      * [221]Item 183 Current mirrors
  323.      * [222]Item 184 One-shot
  324.      * [223]Item 185 Oscillators
  325.      * [224]Item 186 FM Radio Link
  326.      * [225]Item 187 Phone Line XMTR, RCVR
  327.      * [226]Item 188 DC Motor Velocity Servo
  328.      * [227]Item 189 Optical Coupler
  329.      * [228]Item 190 Photocathode Current Oscillator
  330.      * [229]Item 191 Deflection Amplifier
  331.  
  332.   Figures
  333.  
  334.      * [230]1a, [231]1b Binary integers radix i-1, i+1.
  335.      * [232]2 Radix i-1 fraction parts (Knuth).
  336.      * [233]3a, [234]3b Squared square, rectangle.
  337.      * [235]4 Square, hexagon dissection.
  338.      * [236]5 Hexiamond solutions.
  339.      * [237]6a, [238]6b "clock hands" series.
  340.      * [239]7 Binary numbers radix -2.
  341.      * [240]8 "C" curves.
  342.      * [241]9 Incremental curve drawing.
  343.  
  344. References
  345.  
  346.    1. http://web.mit.edu/
  347.    2. http://www.ai.mit.edu/
  348.    3. file://localhost/sys/ftp/pub/hacking/hakmem.html#contents
  349.    4. http://www.inwap.com/pdp10/hbaker/hakmem/index.html
  350.    5. http://www.cs.arizona.edu/xkernel/www/people/rich.html
  351.    6. http://www.cc.ukans.edu/lynx_help/HTML_quick.html
  352.    7. ftp://ftp.netcom.com/pub/hb/hbaker/home.html
  353.    8. http://www.cc.ukans.edu/about_lynx/about_lynx.html
  354.    9. ftp://publications.ai.mit.edu/ai-publications/0-499/AIM-239.tiff.tar.gz
  355.   10. ftp://ftp.sgi.com/graphics/tiff/README
  356.   11. ftp://prep.ai.mit.edu/pub/gnu/README-about-.gz-files
  357.   12. http://www.arpa.mil/
  358.   13. http://www.swiss.ai.mit.edu/~gjs/gjs.html
  359.   14. http://www.dcs.warwick.ac.uk/dcs/people/staff/academic/msp/
  360.   15. http://www.digital.com/
  361.   16. http://www.bbn.com/
  362.   17. http://www.inwap.com/pdp10/hbaker/pdp-10/pdp-10.html
  363.   18. http://www.inwap.com/pdp10/hbaker/hakmem/geometry.html
  364.   19. http://www.inwap.com/pdp10/hbaker/hakmem/geometry.html#item1
  365.   20. http://www.inwap.com/pdp10/hbaker/hakmem/geometry.html#item2
  366.   21. http://www.inwap.com/pdp10/hbaker/hakmem/geometry.html#item3
  367.   22. http://www.inwap.com/pdp10/hbaker/hakmem/geometry.html#item4
  368.   23. http://www.inwap.com/pdp10/hbaker/hakmem/geometry.html#item5
  369.   24. http://www.inwap.com/pdp10/hbaker/hakmem/geometry.html#item6
  370.   25. http://www.inwap.com/pdp10/hbaker/hakmem/geometry.html#item7
  371.   26. http://www.inwap.com/pdp10/hbaker/hakmem/geometry.html#item8
  372.   27. http://www.inwap.com/pdp10/hbaker/hakmem/geometry.html#item9
  373.   28. http://www.inwap.com/pdp10/hbaker/hakmem/geometry.html#item10
  374.   29. http://www.inwap.com/pdp10/hbaker/hakmem/geometry.html#item11
  375.   30. http://www.inwap.com/pdp10/hbaker/hakmem/recurrence.html
  376.   31. http://www.inwap.com/pdp10/hbaker/hakmem/recurrence.html#item12
  377.   32. http://www.inwap.com/pdp10/hbaker/hakmem/recurrence.html#item13
  378.   33. http://www.inwap.com/pdp10/hbaker/hakmem/recurrence.html#item14
  379.   34. http://www.inwap.com/pdp10/hbaker/hakmem/recurrence.html#item15
  380.   35. http://www.inwap.com/pdp10/hbaker/hakmem/recurrence.html#item16
  381.   36. http://www.inwap.com/pdp10/hbaker/hakmem/boolean.html
  382.   37. http://www.inwap.com/pdp10/hbaker/hakmem/boolean.html#item17
  383.   38. http://www.inwap.com/pdp10/hbaker/hakmem/boolean.html#item18
  384.   39. http://www.inwap.com/pdp10/hbaker/hakmem/boolean.html#item19
  385.   40. http://www.inwap.com/pdp10/hbaker/hakmem/boolean.html#item20
  386.   41. http://www.inwap.com/pdp10/hbaker/hakmem/boolean.html#item21
  387.   42. http://www.inwap.com/pdp10/hbaker/hakmem/boolean.html#item22
  388.   43. http://www.inwap.com/pdp10/hbaker/hakmem/boolean.html#item23
  389.   44. http://www.inwap.com/pdp10/hbaker/hakmem/boolean.html#item24
  390.   45. http://www.inwap.com/pdp10/hbaker/hakmem/random.html
  391.   46. http://www.inwap.com/pdp10/hbaker/hakmem/random.html#item25
  392.   47. http://www.inwap.com/pdp10/hbaker/hakmem/random.html#item26
  393.   48. http://www.inwap.com/pdp10/hbaker/hakmem/random.html#item27
  394.   49. http://www.inwap.com/pdp10/hbaker/hakmem/number.html
  395.   50. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item28
  396.   51. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item29
  397.   52. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item30
  398.   53. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item31
  399.   54. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item32
  400.   55. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item33
  401.   56. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item34
  402.   57. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item35
  403.   58. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item36
  404.   59. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item37
  405.   60. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item38
  406.   61. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item39
  407.   62. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item40
  408.   63. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item41
  409.   64. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item42
  410.   65. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item43
  411.   66. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item44
  412.   67. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item45
  413.   68. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item46
  414.   69. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item47
  415.   70. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item48
  416.   71. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item49
  417.   72. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item50
  418.   73. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item51
  419.   74. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item52
  420.   75. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item53
  421.   76. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item54
  422.   77. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item55
  423.   78. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item56
  424.   79. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item57
  425.   80. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item58
  426.   81. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item59
  427.   82. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item60
  428.   83. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item61
  429.   84. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item62
  430.   85. http://www.inwap.com/pdp10/hbaker/hakmem/number.html#item63
  431.   86. http://www.inwap.com/pdp10/hbaker/hakmem/automata.html
  432.   87. http://www.inwap.com/pdp10/hbaker/hakmem/automata.html#item64
  433.   88. http://www.inwap.com/pdp10/hbaker/hakmem/automata.html#item65
  434.   89. http://www.inwap.com/pdp10/hbaker/hakmem/automata.html#item66
  435.   90. http://www.inwap.com/pdp10/hbaker/hakmem/games.html
  436.   91. http://www.inwap.com/pdp10/hbaker/hakmem/games.html#item67
  437.   92. http://www.inwap.com/pdp10/hbaker/hakmem/games.html#item68
  438.   93. http://www.inwap.com/pdp10/hbaker/hakmem/games.html#item69
  439.   94. http://www.inwap.com/pdp10/hbaker/hakmem/games.html#item70
  440.   95. http://www.inwap.com/pdp10/hbaker/hakmem/games.html#item71
  441.   96. http://www.inwap.com/pdp10/hbaker/hakmem/games.html#item72
  442.   97. http://www.inwap.com/pdp10/hbaker/hakmem/games.html#item73
  443.   98. http://www.inwap.com/pdp10/hbaker/hakmem/games.html#item74
  444.   99. http://www.inwap.com/pdp10/hbaker/hakmem/games.html#item75
  445.  100. http://www.inwap.com/pdp10/hbaker/hakmem/games.html#item76
  446.  101. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html
  447.  102. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item77
  448.  103. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item78
  449.  104. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item79
  450.  105. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item80
  451.  106. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item81
  452.  107. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item82
  453.  108. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item83
  454.  109. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item84
  455.  110. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item85
  456.  111. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item86
  457.  112. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item87
  458.  113. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item88
  459.  114. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item89
  460.  115. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item90
  461.  116. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item91
  462.  117. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item92
  463.  118. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item93
  464.  119. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item94
  465.  120. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item95
  466.  121. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item96
  467.  122. http://www.inwap.com/pdp10/hbaker/hakmem/cf.html
  468.  123. http://www.inwap.com/pdp10/hbaker/hakmem/cf.html#item97
  469.  124. http://www.inwap.com/pdp10/hbaker/hakmem/cf.html#item98
  470.  125. http://www.inwap.com/pdp10/hbaker/hakmem/cf.html#item99
  471.  126. http://www.inwap.com/pdp10/hbaker/hakmem/cf.html#item100
  472.  127. http://www.inwap.com/pdp10/hbaker/hakmem/cf.html#item101a
  473.  128. http://www.inwap.com/pdp10/hbaker/hakmem/cf.html#item101b
  474.  129. http://www.inwap.com/pdp10/hbaker/hakmem/cf.html#item101c
  475.  130. http://www.inwap.com/pdp10/hbaker/hakmem/group.html
  476.  131. http://www.inwap.com/pdp10/hbaker/hakmem/group.html#item102
  477.  132. http://www.inwap.com/pdp10/hbaker/hakmem/group.html#item103
  478.  133. http://www.inwap.com/pdp10/hbaker/hakmem/group.html#item104
  479.  134. http://www.inwap.com/pdp10/hbaker/hakmem/group.html#item105
  480.  135. http://www.inwap.com/pdp10/hbaker/hakmem/group.html#item105
  481.  136. http://www.inwap.com/pdp10/hbaker/hakmem/quaternions.html
  482.  137. http://www.inwap.com/pdp10/hbaker/hakmem/quaternions.html#item107
  483.  138. http://www.inwap.com/pdp10/hbaker/hakmem/polyominos.html
  484.  139. http://www.inwap.com/pdp10/hbaker/hakmem/polyominos.html#item108
  485.  140. http://www.inwap.com/pdp10/hbaker/hakmem/polyominos.html#item109
  486.  141. http://www.inwap.com/pdp10/hbaker/hakmem/polyominos.html#item110
  487.  142. http://www.inwap.com/pdp10/hbaker/hakmem/polyominos.html#item111
  488.  143. http://www.inwap.com/pdp10/hbaker/hakmem/polyominos.html#item112
  489.  144. http://www.inwap.com/pdp10/hbaker/hakmem/topology.html
  490.  145. http://www.inwap.com/pdp10/hbaker/hakmem/topology.html#item113
  491.  146. http://www.inwap.com/pdp10/hbaker/hakmem/topology.html#item114
  492.  147. http://www.inwap.com/pdp10/hbaker/hakmem/topology.html#item115
  493.  148. http://www.inwap.com/pdp10/hbaker/hakmem/series.html
  494.  149. http://www.inwap.com/pdp10/hbaker/hakmem/series.html#item116
  495.  150. http://www.inwap.com/pdp10/hbaker/hakmem/series.html#item117
  496.  151. http://www.inwap.com/pdp10/hbaker/hakmem/series.html#item118
  497.  152. http://www.inwap.com/pdp10/hbaker/hakmem/series.html#item119
  498.  153. http://www.inwap.com/pdp10/hbaker/hakmem/series.html#item120
  499.  154. http://www.inwap.com/pdp10/hbaker/hakmem/series.html#item121
  500.  155. http://www.inwap.com/pdp10/hbaker/hakmem/series.html#item122
  501.  156. http://www.inwap.com/pdp10/hbaker/hakmem/series.html#item123
  502.  157. http://www.inwap.com/pdp10/hbaker/hakmem/series.html#item124
  503.  158. http://www.inwap.com/pdp10/hbaker/hakmem/series.html#item125
  504.  159. http://www.inwap.com/pdp10/hbaker/hakmem/flows.html
  505.  160. http://www.inwap.com/pdp10/hbaker/hakmem/flows.html#item126
  506.  161. http://www.inwap.com/pdp10/hbaker/hakmem/flows.html#item127
  507.  162. http://www.inwap.com/pdp10/hbaker/hakmem/flows.html#item128
  508.  163. http://www.inwap.com/pdp10/hbaker/hakmem/flows.html#item129
  509.  164. http://www.inwap.com/pdp10/hbaker/hakmem/flows.html#item130
  510.  165. http://www.inwap.com/pdp10/hbaker/hakmem/flows.html#item131
  511.  166. http://www.inwap.com/pdp10/hbaker/hakmem/flows.html#item132
  512.  167. http://www.inwap.com/pdp10/hbaker/hakmem/flows.html#item133
  513.  168. http://www.inwap.com/pdp10/hbaker/hakmem/flows.html#item134
  514.  169. http://www.inwap.com/pdp10/hbaker/hakmem/flows.html#item135
  515.  170. http://www.inwap.com/pdp10/hbaker/hakmem/pi.html
  516.  171. http://www.inwap.com/pdp10/hbaker/hakmem/pi.html#item136
  517.  172. http://www.inwap.com/pdp10/hbaker/hakmem/pi.html#item137
  518.  173. http://www.inwap.com/pdp10/hbaker/hakmem/pi.html#item138
  519.  174. http://www.inwap.com/pdp10/hbaker/hakmem/pi.html#item139
  520.  175. http://www.inwap.com/pdp10/hbaker/hakmem/pi.html#item140
  521.  176. http://www.inwap.com/pdp10/hbaker/hakmem/pi.html#item141
  522.  177. http://www.inwap.com/pdp10/hbaker/hakmem/pi.html#item142
  523.  178. http://www.inwap.com/pdp10/hbaker/hakmem/pi.html#item143
  524.  179. http://www.inwap.com/pdp10/hbaker/hakmem/pi.html#item144
  525.  180. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html
  526.  181. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item145
  527.  182. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item146
  528.  183. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item147
  529.  184. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item148
  530.  185. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item149
  531.  186. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item150
  532.  187. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item151
  533.  188. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item152
  534.  189. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item153
  535.  190. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item154
  536.  191. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item155
  537.  192. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item156
  538.  193. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item157
  539.  194. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item158
  540.  195. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item159
  541.  196. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item160
  542.  197. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item161
  543.  198. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item162
  544.  199. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item163
  545.  200. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item164
  546.  201. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item165
  547.  202. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item166
  548.  203. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item167
  549.  204. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item168
  550.  205. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item169
  551.  206. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item170
  552.  207. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item171
  553.  208. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item172
  554.  209. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item173
  555.  210. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item174
  556.  211. http://www.inwap.com/pdp10/hbaker/hakmem/hacks.html#item175
  557.  212. http://www.inwap.com/pdp10/hbaker/hakmem/algorithms.html
  558.  213. http://www.inwap.com/pdp10/hbaker/hakmem/algorithms.html#item176
  559.  214. http://www.inwap.com/pdp10/hbaker/hakmem/algorithms.html#item177
  560.  215. http://www.inwap.com/pdp10/hbaker/hakmem/algorithms.html#item178
  561.  216. http://www.inwap.com/pdp10/hbaker/hakmem/algorithms.html#item179
  562.  217. http://www.inwap.com/pdp10/hbaker/hakmem/algorithms.html#item180
  563.  218. http://www.inwap.com/pdp10/hbaker/hakmem/hardware.html
  564.  219. http://www.inwap.com/pdp10/hbaker/hakmem/hardware.html#item181
  565.  220. http://www.inwap.com/pdp10/hbaker/hakmem/hardware.html#item182
  566.  221. http://www.inwap.com/pdp10/hbaker/hakmem/hardware.html#item183
  567.  222. http://www.inwap.com/pdp10/hbaker/hakmem/hardware.html#item184
  568.  223. http://www.inwap.com/pdp10/hbaker/hakmem/hardware.html#item185
  569.  224. http://www.inwap.com/pdp10/hbaker/hakmem/hardware.html#item186
  570.  225. http://www.inwap.com/pdp10/hbaker/hakmem/hardware.html#item187
  571.  226. http://www.inwap.com/pdp10/hbaker/hakmem/hardware.html#item188
  572.  227. http://www.inwap.com/pdp10/hbaker/hakmem/hardware.html#item189
  573.  228. http://www.inwap.com/pdp10/hbaker/hakmem/hardware.html#item190
  574.  229. http://www.inwap.com/pdp10/hbaker/hakmem/hardware.html#item191
  575.  230. http://www.inwap.com/pdp10/hbaker/hakmem/Figure1a.html
  576.  231. http://www.inwap.com/pdp10/hbaker/hakmem/Figure1b.html
  577.  232. http://www.inwap.com/pdp10/hbaker/hakmem/Figure2.html
  578.  233. http://www.inwap.com/pdp10/hbaker/hakmem/Figure3a.html
  579.  234. http://www.inwap.com/pdp10/hbaker/hakmem/Figure3b.html
  580.  235. http://www.inwap.com/pdp10/hbaker/hakmem/Figure4.html
  581.  236. http://www.inwap.com/pdp10/hbaker/hakmem/Figure5.html
  582.  237. http://www.inwap.com/pdp10/hbaker/hakmem/Figure6a.html
  583.  238. http://www.inwap.com/pdp10/hbaker/hakmem/Figure6b.html
  584.  239. http://www.inwap.com/pdp10/hbaker/hakmem/Figure7.html
  585.  240. http://www.inwap.com/pdp10/hbaker/hakmem/Figure8.html
  586.  241. http://www.inwap.com/pdp10/hbaker/hakmem/Figure9.html
  587.