Hi,
I'm looking for an efficient way to create the oposite of a
list of numbers.
For example, suppose I have this list of numbers:
100
200
300
I want to generate a list of all numbers between 1 and 999 that
exclude the numbers in this list.
Any suggestions are welcome.
Regards,
Eduardo
Jul 23 '05
19  2127 
Mark P wrote:
Eduardo Bezerra wrote:
Actually I oversimplified my question, so let me refine it. The list is not
a list of integers, in reallity it's a list of strings numbers with a maximun
lenght of 15 characters.
For example:
"526"
"5261"
"526212"
"52621"
So what are you trying to find? All strings of length <= 15 that aren't
in your list? That would be an enormous amount of data so I assume it's
something else. But what?
My guess is, he is on to 'set operations'.
Given two sets of items: A and B, find the difference A - B
--
Karl Heinz Buchegger kb******@gascad .at
Mark P <no*@my.real.em ail> wrote in message news:<_E******* **********@news svr13.news.prod igy.com>... Eduardo Bezerra wrote:
Actually I oversimplified my question, so let me refine it. The list is not
a list of integers, in reallity it's a list of strings numbers with a maximun
lenght of 15 characters.
For example:
"526"
"5261"
"526212"
"52621"
So what are you trying to find? All strings of length <= 15 that aren't
in your list? That would be an enormous amount of data so I assume it's
something else. But what?
Hello Mark,
I took some time to return to this thread because the requirements
of my problem changed and now it is settled.
I need to generate a list of the numbers that are not an exact match
and also do not start with any of the numbers in a list.
For example, given a list of string numbers such as:
"12"
"5625"
"56254"
"562542"
For the above given list, the resultant "barring" list of string
numbers would be:
"0" "1" "2" "3" "4" "6" "7" "8" "9
"10" "11" "13" "14" "15" "16" "17" "18" "19"
"50" "51" "52" "53" "54" "55" "57" "58" "59"
"560" "561" "563" "564" "565" "566" "567" "568" "569"
"5620" "5621" "5622" "5623" "5624" "5626" "5627" "5628" "5629"
This generation much be very fast because it is for a real time
system.
Any comments, suggestions are much appreciated.
Best regards,
Eduardo
Eduardo Bezerra wrote:
Mark P <no*@my.real.em ail> wrote in message news:<_E******* **********@news svr13.news.prod igy.com>... Eduardo Bezerra wrote:
Actually I oversimplified my question, so let me refine it. The list is not
a list of integers, in reallity it's a list of strings numbers with a maximun
lenght of 15 characters.
For example:
"526"
"5261"
"526212"
"52621"
So what are you trying to find? All strings of length <= 15 that aren't
in your list? That would be an enormous amount of data so I assume it's
something else. But what?
Hello Mark,
I took some time to return to this thread because the requirements
of my problem changed and now it is settled.
I need to generate a list of the numbers that are not an exact match
and also do not start with any of the numbers in a list.
For example, given a list of string numbers such as:
"12"
"5625"
"56254"
"562542"
For the above given list, the resultant "barring" list of string
numbers would be:
"0" "1" "2" "3" "4" "6" "7" "8" "9
"10" "11" "13" "14" "15" "16" "17" "18" "19"
"50" "51" "52" "53" "54" "55" "57" "58" "59"
"560" "561" "563" "564" "565" "566" "567" "568" "569"
"5620" "5621" "5622" "5623" "5624" "5626" "5627" "5628" "5629"
This generation much be very fast because it is for a real time
system.
But it still is an enormous list!
Earlier you mentioned 15 characters. Is that still true?
So your above resultant list would also include:
"500"
"501" .. "599"
"5000"
"5001" .. "5999"
"50000"
"50001" .. "59999"
"500000"
....
"5000000"
....
That would be a pretty *huge* list!
--
Karl Heinz Buchegger kb******@gascad .at
Eduardo Bezerra wrote:
Mark P <no*@my.real.em ail> wrote in message news:<_E******* **********@news svr13.news.prod igy.com>... Eduardo Bezerra wrote:
Actually I oversimplified my question, so let me refine it. The list is not
a list of integers, in reallity it's a list of strings numbers with a maximun
lenght of 15 characters.
For example:
"526"
"5261"
"526212"
"52621"
So what are you trying to find? All strings of length <= 15 that aren't
in your list? That would be an enormous amount of data so I assume it's
something else. But what?
Hello Mark,
I took some time to return to this thread because the requirements
of my problem changed and now it is settled.
I need to generate a list of the numbers that are not an exact match
and also do not start with any of the numbers in a list.
For example, given a list of string numbers such as:
"12"
"5625"
"56254"
"562542"
For the above given list, the resultant "barring" list of string
numbers would be:
"0" "1" "2" "3" "4" "6" "7" "8" "9
"10" "11" "13" "14" "15" "16" "17" "18" "19"
"50" "51" "52" "53" "54" "55" "57" "58" "59"
"560" "561" "563" "564" "565" "566" "567" "568" "569"
"5620" "5621" "5622" "5623" "5624" "5626" "5627" "5628" "5629"
That 'list' is not complete, is it?
Eg. Why isn't "20" in the list. According to your description it should!
This generation much be very fast because it is for a real time
system.
But it still is an enormous list!
Earlier you mentioned 15 characters. Is that still true?
So your above resultant list would also include:
"500"
"501" .. "599"
"5000"
"5001" .. "5999"
"50000"
"50001" .. "59999"
"500000"
....
"5000000"
....
That would be a pretty *huge* list!
--
Karl Heinz Buchegger kb******@gascad .at
"Eduardo Bezerra" <ed****@gmail.c om> wrote in message
news:58******** *************** ***@posting.goo gle.com... Mark P <no*@my.real.em ail> wrote in message
news:<_E******* **********@news svr13.news.prod igy.com>... Eduardo Bezerra wrote:
....
I need to generate a list of the numbers that are not an exact match
What do you mean by "generate"?
and also do not start with any of the numbers in a list.
For example, given a list of string numbers such as:
"12"
"5625"
"56254"
"562542"
For the above given list, the resultant "barring" list of string
numbers would be:
"0" "1" "2" "3" "4" "6" "7" "8" "9
"10" "11" "13" "14" "15" "16" "17" "18" "19"
"50" "51" "52" "53" "54" "55" "57" "58" "59"
"560" "561" "563" "564" "565" "566" "567" "568" "569"
"5620" "5621" "5622" "5623" "5624" "5626" "5627" "5628" "5629"
This generation much be very fast because it is for a real time
system.
Leaving aside the issues raised in other responses. How will you use this
information? Are you going to be printing/displaying it? Are you going to be
traversing it from beginning to end? Are you just using it to test if a
value is a member?
Answering these questions would help lead to a specific solution. IMO, the
general approach, is to store the excluded values in a set. Treating them as
delimiters of intervals of values. I'd make the data type an integer(of
appropriate size for 15 decimal digits) and convert to std::string when
needed.
Jeff Flinn
Karl Heinz Buchegger <kb******@gasca d.at> wrote in message news:<42******* ********@gascad .at>... Eduardo Bezerra wrote:
Mark P <no*@my.real.em ail> wrote in message news:<_E******* **********@news svr13.news.prod igy.com>... Eduardo Bezerra wrote:
>
> Actually I oversimplified my question, so let me refine it. The list is not
> a list of integers, in reallity it's a list of strings numbers with a maximun
> lenght of 15 characters.
>
> For example:
>
> "526"
> "5261"
> "526212"
> "52621"
So what are you trying to find? All strings of length <= 15 that aren't
in your list? That would be an enormous amount of data so I assume it's
something else. But what?
Hello Mark,
I took some time to return to this thread because the requirements
of my problem changed and now it is settled.
I need to generate a list of the numbers that are not an exact match
and also do not start with any of the numbers in a list.
For example, given a list of string numbers such as:
"12"
"5625"
"56254"
"562542"
For the above given list, the resultant "barring" list of string
numbers would be:
"0" "1" "2" "3" "4" "6" "7" "8" "9
"10" "11" "13" "14" "15" "16" "17" "18" "19"
"50" "51" "52" "53" "54" "55" "57" "58" "59"
"560" "561" "563" "564" "565" "566" "567" "568" "569"
"5620" "5621" "5622" "5623" "5624" "5626" "5627" "5628" "5629"
That 'list' is not complete, is it?
Eg. Why isn't "20" in the list. According to your description it should!
This generation much be very fast because it is for a real time
system.
But it still is an enormous list!
Earlier you mentioned 15 characters. Is that still true?
So your above resultant list would also include:
"500"
"501" .. "599"
"5000"
"5001" .. "5999"
"50000"
"50001" .. "59999"
"500000"
...
"5000000"
...
That would be a pretty *huge* list!
That 'list' is not complete, is it?
Eg. Why isn't "20" in the list. According to your description it should!
Because there is no perfect match for "20" in the list and no number
in the list starts with (or contains) "20"
"Jeff Flinn" <NO****@nowhere .com> wrote in message news:<d4******* ***@bluegill.ad i.com>... "Eduardo Bezerra" <ed****@gmail.c om> wrote in message
news:58******** *************** ***@posting.goo gle.com... Mark P <no*@my.real.em ail> wrote in message
news:<_E******* **********@news svr13.news.prod igy.com>... Eduardo Bezerra wrote:
...
I need to generate a list of the numbers that are not an exact match
What do you mean by "generate"?
By "generate" I mean create or build the "barring" list.
and also do not start with any of the numbers in a list.
For example, given a list of string numbers such as:
"12"
"5625"
"56254"
"562542"
For the above given list, the resultant "barring" list of string
numbers would be:
"0" "1" "2" "3" "4" "6" "7" "8" "9
"10" "11" "13" "14" "15" "16" "17" "18" "19"
"50" "51" "52" "53" "54" "55" "57" "58" "59"
"560" "561" "563" "564" "565" "566" "567" "568" "569"
"5620" "5621" "5622" "5623" "5624" "5626" "5627" "5628" "5629"
This generation much be very fast because it is for a real time
system.
Leaving aside the issues raised in other responses. How will you use this
information? Are you going to be printing/displaying it? Are you going to be
traversing it from beginning to end? Are you just using it to test if a
value is a member?
I'll be storing the result in a container, problably a set. It's not just
a test to see if a number is valid in the list, the goal is to build
the "barring" list.
Answering these questions would help lead to a specific solution. IMO, the
general approach, is to store the excluded values in a set. Treating them as
delimiters of intervals of values. I'd make the data type an integer(of
appropriate size for 15 decimal digits) and convert to std::string when
needed.
Jeff Flinn
Karl Heinz Buchegger <kb******@gasca d.at> wrote in message news:<42******* ********@gascad .at>... Eduardo Bezerra wrote:
Mark P <no*@my.real.em ail> wrote in message news:<_E******* **********@news svr13.news.prod igy.com>... Eduardo Bezerra wrote:
>
> Actually I oversimplified my question, so let me refine it. The list is not
> a list of integers, in reallity it's a list of strings numbers with a maximun
> lenght of 15 characters.
>
> For example:
>
> "526"
> "5261"
> "526212"
> "52621"
So what are you trying to find? All strings of length <= 15 that aren't
in your list? That would be an enormous amount of data so I assume it's
something else. But what?
Hello Mark,
I took some time to return to this thread because the requirements
of my problem changed and now it is settled.
I need to generate a list of the numbers that are not an exact match
and also do not start with any of the numbers in a list.
For example, given a list of string numbers such as:
"12"
"5625"
"56254"
"562542"
For the above given list, the resultant "barring" list of string
numbers would be:
"0" "1" "2" "3" "4" "6" "7" "8" "9
"10" "11" "13" "14" "15" "16" "17" "18" "19"
"50" "51" "52" "53" "54" "55" "57" "58" "59"
"560" "561" "563" "564" "565" "566" "567" "568" "569"
"5620" "5621" "5622" "5623" "5624" "5626" "5627" "5628" "5629"
That 'list' is not complete, is it?
Eg. Why isn't "20" in the list. According to your description it should!
This generation much be very fast because it is for a real time
system.
But it still is an enormous list!
Earlier you mentioned 15 characters. Is that still true?
So your above resultant list would also include:
"500"
"501" .. "599"
"5000"
"5001" .. "5999"
"50000"
"50001" .. "59999"
"500000"
...
"5000000"
...
That would be a pretty *huge* list!
Continuing the explanation, "20" is not in the "barring" list because
any number starting with "2" is already excluded:
"0" "1" "2" "3" "4" "6" "7" "8" "9
^^^
"Eduardo Bezerra" <ed****@gmail.c om> wrote in message
news:58******** *************** *@posting.googl e.com... "Jeff Flinn" <NO****@nowhere .com> wrote in message
news:<d4******* ***@bluegill.ad i.com>... "Eduardo Bezerra" <ed****@gmail.c om> wrote in message
news:58******** *************** ***@posting.goo gle.com... > Mark P <no*@my.real.em ail> wrote in message
> news:<_E******* **********@news svr13.news.prod igy.com>...
>> Eduardo Bezerra wrote:
...
> I need to generate a list of the numbers that are not an exact match
What do you mean by "generate"?
By "generate" I mean create or build the "barring" list.
> and also do not start with any of the numbers in a list.
>
> For example, given a list of string numbers such as:
>
> "12"
> "5625"
> "56254"
> "562542"
>
> For the above given list, the resultant "barring" list of string
> numbers would be:
>
> "0" "1" "2" "3" "4" "6" "7" "8" "9
> "10" "11" "13" "14" "15" "16" "17" "18" "19"
> "50" "51" "52" "53" "54" "55" "57" "58" "59"
> "560" "561" "563" "564" "565" "566" "567" "568" "569"
> "5620" "5621" "5622" "5623" "5624" "5626" "5627" "5628" "5629"
>
> This generation much be very fast because it is for a real time
> system.
Leaving aside the issues raised in other responses. How will you use this
information? Are you going to be printing/displaying it? Are you going to
be
traversing it from beginning to end? Are you just using it to test if a
value is a member?
I'll be storing the result in a container, problably a set. It's not just
a test to see if a number is valid in the list, the goal is to build
the "barring" list.
And how do you plan on using this barring list? My point is that you may not
need to fully construct this list, which is probably antithetical to
real-time constraints. If the final use is to check if something is or is
not valid, you only need a function that provides that facility. If you do
need to present a user with values, probably only need to display a sub
range of values, perhaps implemented as an input iterator. Jeff Flinn
> For example, given a list of string numbers such as:
"12"
"5625"
"56254"
"562542"
For the above given list, the resultant "barring" list of string
numbers would be:
"0" "1" "2" "3" "4" "6" "7" "8" "9
"10" "11" "13" "14" "15" "16" "17" "18" "19"
"50" "51" "52" "53" "54" "55" "57" "58" "59"
"560" "561" "563" "564" "565" "566" "567" "568" "569"
"5620" "5621" "5622" "5623" "5624" "5626" "5627" "5628" "5629"
As I understand your problem, and assuming you have an "epsilon" value
representing a void string in the list, you need to find all the strings s
where the substring s(0,length(s)-2) is a prefix in the list and s not a
prefix in the list.
I think you could proceed that way:
1. Build a prefix tree P. (linear in the number of chars in your strings -
"epsilon" should be your root)
Each node N of P is tagged with the char it represents.
2. for each node N in P (width-first traversal)
2.1 for each char C in '0'..'9'
2.1.1 if N has a child tagged C then continue;
2.1.2 add the string made of all node from root to N + C to your list
The generation of the strings is linear in the size of the output which
might actually be exponential. I think you cannot do faster as you are bound
to the size of the output.
For instance, with the list 12, 5625, 56254, 562542 you would have the tree:
Node("", [
Node("1",[Node("2",[])]),
Node("5",[Node("6",[Node("2",[Node("5",[Node("4",[Node("2",[])])])])])])
])
You would start with node Node("",[...]), and add "0", "2", "3", ... (not
"1" and "5" since they are children of "")
Then you go with Node("1",[...]), and add "10", "11", "13", ... (not "2"
since it is a child of "1").
Then you go with Node("5",[...]), etc...
Then with Node("6") (and prefix "56")
If you don't want to have the values "120", "121", ... and so on you need
also to check if the current node is a leaf or not.
I hope it helps.
--
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