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