Problem 44375. Missing five

Created by Alfonso Nieto-Castanon

Solve Later

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Wondering whether everything would be simpler if we just got rid of the digit 5? Let's try!</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>In a world without 5's, positive integers may be represented using a base-9 notation that uses only the digits 0, 1, 2, 3, 4, 6, 7, 8, and 9. We'll call this the \"missing-5\" notation. The following list shows the first 100 positive numbers (i.e. 1 through 100) using \"missing-5\" notation:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ '1' '2' '3' '4' '6' '7' '8' '9' '10' '11' \n '12' '13' '14' '16' '17' '18' '19' '20' '21' '22' \n '23' '24' '26' '27' '28' '29' '30' '31' '32' '33' \n '34' '36' '37' '38' '39' '40' '41' '42' '43' '44' \n '46' '47' '48' '49' '60' '61' '62' '63' '64' '66' \n '67' '68' '69' '70' '71' '72' '73' '74' '76' '77' \n '78' '79' '80' '81' '82' '83' '84' '86' '87' '88' \n '89' '90' '91' '92' '93' '94' '96' '97' '98' '99' \n '100' '101' '102' '103' '104' '106' '107' '108' '109' '110'\n '111' '112' '113' '114' '116' '117' '118' '119' '120' '121']]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>You may notice that this is simply the sorted list of positive numbers which do not contain the digit 5 in their decimal representation.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Your function should convert a positive decimal number N into its \"missing-5\" notation. For example</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ dec2missing5(20)]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>should return</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>'22'</w:t></w:r><w:r><w:t> (the 20th positive number in missing-5 notation), and</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ dec2missing5(100)]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>should return</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>'121'</w:t></w:r><w:r><w:t> (the 100th positive number in missing-5 notation)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Good luck!</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:i/></w:rPr><w:t>Small print</w:t></w:r><w:r><w:t>: Your function may output a number, a char array, or a string; whatever you find simpler (e.g. in the example above, valid outputs are 121, '121', or \"121\"). Input numbers in testsuite are always relatively low valued positive integers (&lt;10,000)</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray 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Convert decimal numbers to a base-9 notation missing the digit 5<img src = "http://www.alfnie.com/software/missing5.jpg">Too many five-themed problems? Wondering whether everything would be simpler if we just got rid of the digit 5? Let's try!In a world without 5's, positive integers may be represented using a base-9 notation that uses only the digits 0, 1, 2, 3, 4, 6, 7, 8, and 9. We'll call this the "missing-5" notation. The following list shows the first 100 positive numbers (i.e. 1 through 100) using "missing-5" notation:<pre> '1' '2' '3' '4' '6' '7' '8' '9' '10' '11' 
 '12' '13' '14' '16' '17' '18' '19' '20' '21' '22' 
 '23' '24' '26' '27' '28' '29' '30' '31' '32' '33' 
 '34' '36' '37' '38' '39' '40' '41' '42' '43' '44' 
 '46' '47' '48' '49' '60' '61' '62' '63' '64' '66' 
 '67' '68' '69' '70' '71' '72' '73' '74' '76' '77' 
 '78' '79' '80' '81' '82' '83' '84' '86' '87' '88' 
 '89' '90' '91' '92' '93' '94' '96' '97' '98' '99' 
 '100' '101' '102' '103' '104' '106' '107' '108' '109' '110'
 '111' '112' '113' '114' '116' '117' '118' '119' '120' '121'</pre>You may notice that this is simply the sorted list of positive numbers which do not contain the digit 5 in their decimal representation.Your function should convert a positive decimal number N into its "missing-5" notation. For example<pre> dec2missing5(20)</pre>should return '22' (the 20th positive number in missing-5 notation), and<pre> dec2missing5(100)</pre>should return '121' (the 100th positive number in missing-5 notation)Good luck!Small print: Your function may output a number, a char array, or a string; whatever you find simpler (e.g. in the example above, valid outputs are 121, '121', or "121"). Input numbers in testsuite are always relatively low valued positive integers (&lt;10,000)

Convert decimal numbers to a base-9 notation missing the digit *5*

<<http://www.alfnie.com/software/missing5.jpg>>

Too many five-themed problems? Wondering whether everything would be simpler if we just got rid of the digit 5? Let's try!

In a world without 5's, positive integers may be represented using a base-9 notation that uses only the digits 0, 1, 2, 3, 4, 6, 7, 8, and 9. We'll call this the "missing-5" notation. The following list shows the first 100 positive numbers (i.e. 1 through 100) using "missing-5" notation:

'1'      '2'      '3'      '4'      '6'      '7'      '8'      '9'      '10'     '11' 
    '12'     '13'     '14'     '16'     '17'     '18'     '19'     '20'     '21'     '22' 
    '23'     '24'     '26'     '27'     '28'     '29'     '30'     '31'     '32'     '33' 
    '34'     '36'     '37'     '38'     '39'     '40'     '41'     '42'     '43'     '44' 
    '46'     '47'     '48'     '49'     '60'     '61'     '62'     '63'     '64'     '66' 
    '67'     '68'     '69'     '70'     '71'     '72'     '73'     '74'     '76'     '77' 
    '78'     '79'     '80'     '81'     '82'     '83'     '84'     '86'     '87'     '88' 
    '89'     '90'     '91'     '92'     '93'     '94'     '96'     '97'     '98'     '99' 
    '100'    '101'    '102'    '103'    '104'    '106'    '107'    '108'    '109'    '110'
    '111'    '112'    '113'    '114'    '116'    '117'    '118'    '119'    '120'    '121'

You may notice that this is simply the sorted list of positive numbers which do not contain the digit 5 in their decimal representation.

Your function should convert a positive decimal number N into its "missing-5" notation. For example

dec2missing5(20)

should return _'22'_ (the 20th positive number in missing-5 notation), and

dec2missing5(100)

should return _'121'_ (the 100th positive number in missing-5 notation)

Good luck!

_Small print_: Your function may output a number, a char array, or a string; whatever you find simpler (e.g. in the example above, valid outputs are 121, '121', or "121"). Input numbers in testsuite are always relatively low valued positive integers (<10,000)

Solve

Solution Stats

1402 Solutions
301 Solvers

Last Solution submitted on Jun 12, 2021

Last 200 Solutions

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2 Comments

2 Comments

James on 16 Oct 2017

Too bad this problem number has a '5' in it! :-)

mahesh kumar on 5 Dec 2020

Ha Ha! six is the new 5!

Solution Comments

Solution 5157438

1 Comment

1 Comment

李君 on 24 Mar 2021

nonary

Solution 1398625

1 Comment

1 Comment

Francis Naldo on 30 Dec 2017

Any suggestions on my brute force method?

Solution 1320947

1 Comment

1 Comment

Alfonso Nieto-Castanon on 31 Oct 2017

sorry, I added a couple of test cases to discourage this sort of solutions

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