Re: [math-fun] Coding + and = with digits inside an integer

26 Jan 2009

      Hello Hans,

... gee, how fast !
...
13    1=001
17    1=+01
57    +00=0
58    +01=1
... those look awful, don't they?

The rest looks fine!
Thanks,
Best,
É.

-----Message d'origine-----
De : Hans Havermann [mailto:pxp@rogers.com] 
Envoyé : lundi 26 janvier 2009 18:43
À : math-fun
Objet : Re: [math-fun] Coding + and = with digits inside an integer

Eric Angelini:
...
Thus, with the [4+;8=] convention, a valid 5-digit integer
would be, for instance, 14283. Or 14081. Or 18041 (1=0+1).
But not 24284 (2+2=+). Neither 04585 (no leading zero).
Is there anything else in the following 154 "solutions" that should be  
excluded?

   1    10=10
   2    11=11
   3    12=12
   4    13=13
   5    1+0=1
   6    1+1=2
   7    1+2=3
   8    1+5=6
   9    1+6=7
  10    15=15
  11    16=16
  12    17=17
  13    1=001
  14    1=0+1
  15    1=1+0
  16    1=1=1
  17    1=+01
  18    19=19
  19    20=20
  20    21=21
  21    22=22
  22    23=23
  23    2+0=2
  24    2+1=3
  25    2+3=5
  26    2+5=7
  27    2+7=9
  28    25=25
  29    26=26
  30    27=27
  31    2=002
  32    2=0+2
  33    2=1+1
  34    2=2+0
  35    2=2=2
  36    2=+02
  37    29=29
  38    30=30
  39    31=31
  40    32=32
  41    33=33
  42    3+0=3
  43    3+2=5
  44    3+3=6
  45    3+6=9
  46    35=35
  47    36=36
  48    37=37
  49    3=003
  50    3=0+3
  51    3=1+2
  52    3=2+1
  53    3=3+0
  54    3=3=3
  55    3=+03
  56    39=39
  57    +00=0
  58    +01=1
  59    +02=2
  60    +03=3
  61    +05=5
  62    +06=6
  63    +07=7
  64    +0=00
  65    +0=+0
  66    +09=9
  67    +1=01
  68    +1=+1
  69    +2=02
  70    +2=+2
  71    +3=03
  72    +3=+3
  73    +5=05
  74    +5=+5
  75    +6=06
  76    +6=+6
  77    +7=07
  78    +7=+7
  79    +9=09
  80    +9=+9
  81    50=50
  82    51=51
  83    52=52
  84    53=53
  85    5+0=5
  86    5+1=6
  87    5+2=7
  88    55=55
  89    56=56
  90    57=57
  91    5=005
  92    5=0+5
  93    5=2+3
  94    5=3+2
  95    5=+05
  96    5=5+0
  97    5=5=5
  98    59=59
  99    60=60
100    61=61
101    62=62
102    63=63
103    6+0=6
104    6+1=7
105    6+3=9
106    65=65
107    66=66
108    67=67
109    6=006
110    6=0+6
111    6=1+5
112    6=3+3
113    6=+06
114    6=5+1
115    6=6+0
116    6=6=6
117    69=69
118    70=70
119    71=71
120    72=72
121    73=73
122    7+0=7
123    7+2=9
124    75=75
125    76=76
126    77=77
127    7=007
128    7=0+7
129    7=1+6
130    7=2+5
131    7=+07
132    7=5+2
133    7=6+1
134    7=7+0
135    7=7=7
136    79=79
137    90=90
138    91=91
139    92=92
140    93=93
141    9+0=9
142    95=95
143    96=96
144    97=97
145    9=009
146    9=0+9
147    9=2+7
148    9=3+6
149    9=+09
150    9=6+3
151    9=7+2
152    9=9+0
153    9=9=9
154    99=99