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Closed 11 years ago.
Please help solve this:
Telephone numbers are often given out as a word representation, so that they are easy to remember. For example if my number is 4357, the text given is HELP. There could be many other possibilities with the same digits, most of which do not make sense.
Write a space-and-time-optimal function that can, given a phone number, print the possible words that can be formed from it.
Based on the detailed explanation in the comment this should be a simple permutation combination problem:
Each digit will have a number of characters associated to it (example 4 could mean either of G,H or I) and then for a combination of digits the permutation can be computed.
Related
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Closed 9 years ago.
I'm trying to find an algorithm which uses linear space of memory for:
Given two strings x and y over an arbitrary alphabet, determine their longest common sub sequence.
Note that when you're calculating the next row of the table in the dynamic programming solution to solve the LCS problem, you only need the previous row and your current row. Then you can modify the dynamic programming solution to keep track of only the previous row and the current row instead of the m x n table. Every time you reach the end of the current row, you set the previous row to the current row, and start from the beginning of the row again. You do this m times where m is the number of rows in your table. This will use space linear in the number of columns.
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Closed 9 years ago.
I am trying to write a divide divide-and-conquer algorithm in pseudocode that finds how many occurrences of a 3-letter pattern there are in a given string of n letters.
Something like this in pseudocode:
the pattern is fixed: XXY
int searchString("CDSXXYZSE")
.
.
search for "XXY"
.
.
return (1)
Or
int searchString("CDSXZXYZSE")
.
.
search for "XXY"
.
.
return (0)
Thank you all for your time!
in the divide step i would split up your string parameter into all possible 3-letter combinations, in your example (CDS, DSX, XXY ...). Then test equality to the searched pattern and add up the number of matches in the conquer step.
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Closed 10 years ago.
I came across this question and couldn't figure out how to approach it. Can someone please help me out? The question is-
Add numbers in base n (not any of the popular ones like 10, 16, 8 or 2 - I hear that Charles Simonyi, the inventor of Hungarian Notation, favors -2 when asking this question).
I just need the idea.
You didn't specify a language, but you could just convert the base n number into a standard integer and add it.
Suppose base N number = '...d2d1d0' where di = the i'th digit.
Number = ... d2 * N^2 + d1 * N^1 + d0 * N^0
Then just add the numbers as usual.
Idea: it looks like hashing, but in hash function you can't use negative numbers.
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Closed 11 years ago.
Say you wanted to find which input causes function x to output value y, and you know the (finite) range of possible inputs.
The input and output are both numbers, and positively correlated.
What would be the best way to optimize that?
I'm currently just looping through all of the possible inputs.
Thanks.
One solution would be a binary search over the possible inputs.
Flow:
find the median input x
get the output from function(x)
if the output is less than the desired y
start over using the smaller half of the possible inputs
else
start over using the larger half of the possible inputs
A binary search algorithm, perhaps?
http://en.wikipedia.org/wiki/Binary_search_algorithm
If the range is finite and small, a precomputed lookup table might be the fastest way
if you have some sets of know "x" data that yield "y" you can divied between training and test sets and use neural networks.
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Closed 11 years ago.
Problem statement:
You are given a set of k strings, each length n. You have to output the group of anagrams together. Anagrams are like e.g atm - mat , like-kile.
Just sort the word's letters to obtain a signature that's anagram-specific. E.g., in Python,
sig = ''.join(sorted(word))
and make a dict with sig as the key and the value being a list of words with that signature (defaultdict(list) works well for this). Of course, you can do it in any language with sorting abilities, and associative arrays whose values can be lists or vectors;-).