Self-describing numbers: Difference between revisions
(Created page with "Self-describing numbers: There are several integers numbers called "self-describing". Integers with the property that, when digit positions are labeled 0 to N-1, the digit ...") |
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Self-describing numbers < 100.000.000 : |
Self-describing numbers < 100.000.000 : |
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1210 - 2020 - 21200 - 3211000 - 42101000 |
1210 - 2020 - 21200 - 3211000 - 42101000 |
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The following example is written in Basic |
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#lang "qb" |
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Dim x, r, b, c, n, m As Integer |
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Dim a, d As String |
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Dim v(10), w(10) As Integer |
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Cls |
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For x = 1 To 5000000 |
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a$ = ltrim$(Str$(x)) |
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b = Len(a$) |
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For c = 1 To b |
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d$ = Mid$(a$, c, 1) |
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v(Val(d$)) = v(Val(d$)) + 1 |
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w(c - 1) = Val(d$) |
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Next c |
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r = 0 |
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For n = 0 To 10 |
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If v(n) = w(n) Then r = r + 1 |
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v(n) = 0 |
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w(n) = 0 |
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Next n |
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If r = 11 Then Print x; " Yes,is autodescriptive number" |
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Next x |
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Print |
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Print "End" |
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sleep |
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end |
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This example is written in another language Logo (FMSLogo) |
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TO XX |
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BT |
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MAKE "AA (ARRAY 10 0) |
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MAKE "BB (ARRAY 10 0) |
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FOR [Z 0 9][SETITEM :Z :AA "0 SETITEM :Z :BB "0 ] |
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FOR [A 1 50000][ |
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MAKE "B COUNT :A |
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MAKE "Y 0 |
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MAKE "X 0 |
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MAKE "R 0 |
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MAKE "J 0 |
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MAKE "K 0 |
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FOR [C 1 :B][MAKE "D ITEM :C :A |
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SETITEM :C - 1 :AA :D |
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MAKE "X ITEM :D :BB |
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MAKE "Y :X + 1 |
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SETITEM :D :BB :Y |
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MAKE "R 0] |
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FOR [Z 0 9][MAKE "J ITEM :Z :AA |
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MAKE "K ITEM :Z :BB |
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IF :J = :K [MAKE "R :R + 1]] |
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IF :R = 10 [PR :A] |
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FOR [Z 0 9][SETITEM :Z :AA "0 SETITEM :Z :BB "0 ]] |
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PR [END] |
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END |
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Revision as of 04:43, 8 May 2011
Self-describing numbers:
There are several integers numbers called "self-describing".
Integers with the property that, when digit positions are labeled 0 to N-1, the digit in each position is equal to the number of times that that digit appears in the number.
For example 2020 is a four digit self describing number.
Position "0" has value 2 and there is two 0 in the number. Position "1" has value 0 because there are not 1's in the number. Position "2" has value 2 and there is two 2. And the position "3" has value 0 and there are zero 3's.
Self-describing numbers < 100.000.000 : 1210 - 2020 - 21200 - 3211000 - 42101000
The following example is written in Basic .........................................................................
- lang "qb"
Dim x, r, b, c, n, m As Integer Dim a, d As String Dim v(10), w(10) As Integer
Cls
For x = 1 To 5000000
a$ = ltrim$(Str$(x)) b = Len(a$)
For c = 1 To b d$ = Mid$(a$, c, 1) v(Val(d$)) = v(Val(d$)) + 1 w(c - 1) = Val(d$) Next c
r = 0 For n = 0 To 10 If v(n) = w(n) Then r = r + 1 v(n) = 0 w(n) = 0 Next n
If r = 11 Then Print x; " Yes,is autodescriptive number"
Next x
Print Print "End" sleep end
This example is written in another language Logo (FMSLogo)
........................................................................
TO XX
BT
MAKE "AA (ARRAY 10 0) MAKE "BB (ARRAY 10 0)
FOR [Z 0 9][SETITEM :Z :AA "0 SETITEM :Z :BB "0 ] FOR [A 1 50000][ MAKE "B COUNT :A MAKE "Y 0 MAKE "X 0 MAKE "R 0 MAKE "J 0 MAKE "K 0
FOR [C 1 :B][MAKE "D ITEM :C :A
SETITEM :C - 1 :AA :D MAKE "X ITEM :D :BB MAKE "Y :X + 1 SETITEM :D :BB :Y MAKE "R 0]
FOR [Z 0 9][MAKE "J ITEM :Z :AA
MAKE "K ITEM :Z :BB IF :J = :K [MAKE "R :R + 1]]
IF :R = 10 [PR :A]
FOR [Z 0 9][SETITEM :Z :AA "0 SETITEM :Z :BB "0 ]]
PR [END]
END