given a string that includes unbalanced brackets of some order, how can I find the first index that is the unbalancing factor of my string and return it?
for example: if the string is: ")" the return value will be 0 ,
if the string is: "(((jjkk))))" the return value will be 10 ,
if the string is: "((" the return value will be 2 ,
I have implemented a function that returns boolean regarding if my string is balanced or not. (T - balanced)
I know it should be some recursive function but just can't figure it out...
Thanks!
A nonrecursive solution (written in pseudosomething loosely resembling C#) ...
string input_str = "this(is(for)(testing))(the)correctness)(of(brackets))";
int left_brackets_cnt = 0;
for (int i=1; i<=input_str.length; i++)
{
switch (input_str.char_at_position(i))
{
case "(": left_brackets_cnt++;
case ")": left_brackets_cnt--;
}
if (left_brackets_cnt < 0)
throw exception("Unmatched right bracket at position "+i);
}
if (left_brackets_cnt > 0)
throw exception("Too many left brackets");
Footnote: Please show appreciation - I typed this on a 3" smartphone! :-)
Related
I was solving
https://www.spoj.com/problems/BEADS/
above question at SPOJ. I have stated the relevant information below:
Problem Statement:
The description of the necklace is a string A = a1a2 ... am specifying sizes of the particular beads, where the last character am is considered to precede character a1 in circular fashion.
The disjoint point i is said to be worse than the disjoint point j if and only if the string aiai+1 ... ana1 ... ai-1 is lexicografically smaller than the string ajaj+1 ... ana1 ... aj-1. String a1a2 ... an is lexicografically smaller than the string b1b2 ... bn if and only if there exists an integer i, i <= n, so that aj=bj, for each j, 1 <= j < i and ai < bi.
Output:
For each test case, print exactly one line containing only one integer -- number of the bead which is the first at the worst possible disjoining, i.e. such i, that the string A[i] is lexicographically smallest among all the n possible disjoinings of a necklace. If there are more than one solution, print the one with the lowest i.
Now the solution is using SUFFIX ARRAY. Input string s, and concat with itself, s'=s+s ,since I have to sort cyclic suffixes of array. Then create a suffix array on s', and output the smallest index that points to a suffix of original s, i.e., index < len(s).
But there is a problem I face. I was appending '$' character to get SA, but I was getting wrong answer. After looking online, I found 1 solution that had appended '}' to string.
I found that ascii('$') < ascii('a') < ascii('z') < ascii('}')
But i don't understand how this will make a difference, why this is accepted answer and haven;t found a case where this will make a difference. The solution (AC) can be found here:
Link to Code
#include <bits/stdc++.h>
using namespace std;
string s;int n;
bool cmp_init(int a, int b)
{
return s[a]<s[b] || (s[a]==s[b] && a<b);
}
int jmp;
vector<int> pos;
bool cmp(int a, int b)
{
return pos[a]<pos[b] || (pos[a]==pos[b] && pos[(a+jmp)%n]<pos[(b+jmp)%n]);
}
int main() {
int tc;cin>>tc;
while(tc--){
cin>>s;
int m=s.size();
s=s+s+"{";
n=s.size();
vector<int> SA(n,0);
for(int i=0;i<n;i++)SA[i]=i;
sort(SA.begin(), SA.end(), cmp_init);
pos.assign(n,0);
for(int i=1 , c=0;i<n;i++)pos[SA[i]]=(s[SA[i]]==s[SA[i-1]])?c:++c;
for(jmp=1;jmp<=n;jmp*=2)
{
sort(SA.begin(), SA.end(), cmp);
vector<int> tmp(n,0);
for(int i=1 , c=0;i<n;i++)tmp[SA[i]]=(pos[SA[i]]==pos[SA[i-1]] && pos[(SA[i]+jmp)%n]==pos[(SA[i-1]+jmp)%n])?c:++c;
for(int i=0;i<n;i++)pos[i]=tmp[i];
}
for(int i=0;i<n;i++)if(SA[i]<m){cout<<SA[i]+1<<"\n";break;}
}
}
PS.: I have found that SA construction code is correct, only problem is with last character appending. Normally we append '$' in SA construction.
The difference is in the last condition:
If there are more than one solution, print the one with the lowest i.
Consider input "abab".
The correct answer is 0, which you get when you append '}', because "abababab}" is less than all of its suffixes.
If you append '$', you get the wrong answer, because "ab$" < "abab$" < "ababab$" < "abababab$".
I've been working through this exercise, and my output is not what I expect.
(Check substrings) You can check whether a string is a substring of another string
by using the indexOf method in the String class. Write your own method for
this function. Write a program that prompts the user to enter two strings, and
checks whether the first string is a substring of the second.
** My code compromises with the problem's specifications in two ways: it can only display matching substrings to 3 letters, and it cannot work on string literals with less than 4 letters. I mistakenly began writing the program without using the suggested method, indexOf. My program's objective (although it shouldn't entirely deviate from the assignment's objective) is to design a program that determines whether two strings share at least three consecutive letters.
The program's primary error is that it generates numbers instead of char characters. I've run through several, unsuccessful ideas to discover what the logical error is. I first tried to idenfity whether the char characters (which, from my understanding, are underwritten in unicode) were converted to integers, considering that the outputted numbers are also three letters long. Without consulting a reference, I know this isn't true. A comparison between java and javac outputted permutation of 312, and a comparison between abab and ababbab ouputted combinations of 219. j should be > b. My next thought was that the ouputs were indexes of the arrays I used. Once again, this isn't true. A comparison between java and javac would ouput 0, if my reasoning were true.
public class Substring {
public static char [] array;
public static char [] array2;
public static void main (String[]args){
java.util.Scanner input = new java.util.Scanner (System.in);
System.out.println("Enter your two strings here, the longer one preceding the shorter one");
String container1 = input.next();
String container2 = input.next();
char [] placeholder = container1.toCharArray();
char [] placeholder2 = container2.toCharArray();
array = placeholder;
array2 = placeholder2;
for (int i = 0; i < placeholder2.length; i++){
for (int j = 0; j < placeholder.length; j ++){
if (array[j] == array2[i]) matcher(j,i);
}
}
}
public static void matcher(int higher, int lower){
if ((higher < array.length - 2) && (lower < array2.length - 2))
if (( array[higher+1] == array2[lower+1]) && (array[higher+2] == array2[lower+2]))
System.out.println(array[higher] + array[higher+1] + array[higher+2] );
}
}
The + operator promotes shorts, chars, and bytes operands to ints, so
array[higher] + array[higher+1] + array[higher+2]
has type int, not type char which means that
System.out.println(...)
binds to
System.out.println(int)
which displays its argument as a decimal number, instead of binding to
System.out.println(char)
which outputs the given character using the PrintStream's encoding.
I want an algorithm to remove all occurrences of a given character from a string in O(n) complexity or lower? (It should be INPLACE editing original string only)
eg.
String="aadecabaaab";
removeCharacter='a'
Output:"decbb"
Enjoy algo:
j = 0
for i in length(a):
if a[i] != symbol:
a[j] = a[i]
j = j + 1
finalize:
length(a) = j
You can't do it in place with a String because it's immutable, but here's an O(n) algorithm to do it in place with a char[]:
char[] chars = "aadecabaaab".toCharArray();
char removeCharacter = 'a';
int next = 0;
for (int cur = 0; cur < chars.length; ++cur) {
if (chars[cur] != removeCharacter) {
chars[next++] = chars[cur];
}
}
// chars[0] through chars[4] will have {d, e, c, b, b} and next will be 5
System.out.println(new String(chars, 0, next));
Strictly speaking, you can't remove anything from a String because the String class is immutable. But you can construct another String that has all characters from the original String except for the "character to remove".
Create a StringBuilder. Loop through all characters in the original String. If the current character is not the character to remove, then append it to the StringBuilder. After the loop ends, convert the StringBuilder to a String.
Yep. In a linear time, iterate over String, check using .charAt() if this is a removeCharacter, don't copy it to new String. If no, copy. That's it.
This probably shouldn't have the "java" tag since in Java, a String is immutable and you can't edit it in place. For a more general case, if you have an array of characters (in any programming language) and you want to modify the array "in place" without creating another array, it's easy enough to do with two indexes. One goes through every character in the array, and the other starts at the beginning and is incremented only when you see a character that isn't removeCharacter. Since I assume this is a homework assignment, I'll leave it at that and let you figure out the details.
import java.util.*;
import java.io.*;
public class removeA{
public static void main(String[] args){
String text = "This is a test string! Wow abcdefg.";
System.out.println(text.replaceAll("a",""));
}
}
Use a hash table to hold the data you want to remove. log N complexity.
std::string toRemove = "ad";
std::map<char, int> table;
size_t maxR = toRemove.size();
for (size_t n = 0; n < maxR; ++n)
{
table[toRemove[n]] = 0;
}
Then parse the whole string and remove when you get a hit (thestring is an array):
size_t counter = 0;
while(thestring[counter] != 0)
{
std::map<char,int>::iterator iter = table.find(thestring[counter]);
if (iter == table.end()) // we found a valid character!
{
++counter;
}
else
{
// move the data - dont increment counter
memcpy(&thestring[counter], &thestring[counter+1], max-counter);
// dont increment counter
}
}
EDIT: I hope this is not a technical test or something like that. =S
I want to find a way by which I can map "b m w" to "bmw" and "ali baba" to "alibaba" in both the following examples.
"b m w shops" and "bmw"
I need to determine whether I can write "b m w" as "bmw"
I thought of this approach:
remove spaces from the original string. This gives "bmwshops". And now find the Largest common substring in "bmwshop" and "bmw".
Second example:
"ali baba and 40 thieves" and "alibaba and 40 thieves"
The above approach does not work in this case.
Is there any standard algorithm that could be used?
It sounds like you're asking this question: "How do I determine if string A can be made equal to string B by removing (some) spaces?".
What you can do is iterate over both strings, advancing within both whenever they have the same character, otherwise advancing along the first when it has a space, and returning false otherwise. Like this:
static bool IsEqualToAfterRemovingSpacesFromOne(this string a, string b) {
return a.IsEqualToAfterRemovingSpacesFromFirst(b)
|| b.IsEqualToAfterRemovingSpacesFromFirst(a);
}
static bool IsEqualToAfterRemovingSpacesFromFirst(this string a, string b) {
var i = 0;
var j = 0;
while (i < a.Length && j < b.Length) {
if (a[i] == b[j]) {
i += 1
j += 1
} else if (a[i] == ' ') {
i += 1;
} else {
return false;
}
}
return i == a.Length && j == b.Length;
}
The above is just an ever-so-slightly modified string comparison. If you want to extend this to 'largest common substring', then take a largest common substring algorithm and do the same sort of thing: whenever you would have failed due to a space in the first string, just skip past it.
Did you look at Suffix Array - http://en.wikipedia.org/wiki/Suffix_array
or Here from Jon Bentley - Programming Pearl
Note : you have to write code to handle spaces.
Closed. This question needs to be more focused. It is not currently accepting answers.
Want to improve this question? Update the question so it focuses on one problem only by editing this post.
Closed 7 years ago.
Improve this question
I saw this in an interview question ,
Given a sorting order string, you are asked to sort the input string based on the given sorting order string.
for example if the sorting order string is dfbcae
and the Input string is abcdeeabc
the output should be dbbccaaee.
any ideas on how to do this , in an efficient way ?
The Counting Sort option is pretty cool, and fast when the string to be sorted is long compared to the sort order string.
create an array where each index corresponds to a letter in the alphabet, this is the count array
for each letter in the sort target, increment the index in the count array which corresponds to that letter
for each letter in the sort order string
add that letter to the end of the output string a number of times equal to it's count in the count array
Algorithmic complexity is O(n) where n is the length of the string to be sorted. As the Wikipedia article explains we're able to beat the lower bound on standard comparison based sorting because this isn't a comparison based sort.
Here's some pseudocode.
char[26] countArray;
foreach(char c in sortTarget)
{
countArray[c - 'a']++;
}
int head = 0;
foreach(char c in sortOrder)
{
while(countArray[c - 'a'] > 0)
{
sortTarget[head] = c;
head++;
countArray[c - 'a']--;
}
}
Note: this implementation requires that both strings contain only lowercase characters.
Here's a nice easy to understand algorithm that has decent algorithmic complexity.
For each character in the sort order string
scan string to be sorted, starting at first non-ordered character (you can keep track of this character with an index or pointer)
when you find an occurrence of the specified character, swap it with the first non-ordered character
increment the index for the first non-ordered character
This is O(n*m), where n is the length of the string to be sorted and m is the length of the sort order string. We're able to beat the lower bound on comparison based sorting because this algorithm doesn't really use comparisons. Like Counting Sort it relies on the fact that you have a predefined finite external ordering set.
Here's some psuedocode:
int head = 0;
foreach(char c in sortOrder)
{
for(int i = head; i < sortTarget.length; i++)
{
if(sortTarget[i] == c)
{
// swap i with head
char temp = sortTarget[head];
sortTarget[head] = sortTarget[i];
sortTarget[i] = temp;
head++;
}
}
}
In Python, you can just create an index and use that in a comparison expression:
order = 'dfbcae'
input = 'abcdeeabc'
index = dict([ (y,x) for (x,y) in enumerate(order) ])
output = sorted(input, cmp=lambda x,y: index[x] - index[y])
print 'input=',''.join(input)
print 'output=',''.join(output)
gives this output:
input= abcdeeabc
output= dbbccaaee
Use binary search to find all the "split points" between different letters, then use the length of each segment directly. This will be asymptotically faster then naive counting sort, but will be harder to implement:
Use an array of size 26*2 to store the begin and end of each letter;
Inspect the middle element, see if it is different from the element left to it. If so, then this is the begin for the middle element and end for the element before it;
Throw away the segment with identical begin and end (if there are any), recursively apply this algorithm.
Since there are at most 25 "split"s, you won't have to do the search for more than 25 segemnts, and for each segment it is O(logn). Since this is constant * O(logn), the algorithm is O(nlogn).
And of course, just use counting sort will be easier to implement:
Use an array of size 26 to record the number of different letters;
Scan the input string;
Output the string in the given sorting order.
This is O(n), n being the length of the string.
Interview questions are generally about thought process and don't usually care too much about language features, but I couldn't resist posting a VB.Net 4.0 version anyway.
"Efficient" can mean two different things. The first is "what's the fastest way to make a computer execute a task" and the second is "what's the fastest that we can get a task done". They might sound the same but the first can mean micro-optimizations like int vs short, running timers to compare execution times and spending a week tweaking every millisecond out of an algorithm. The second definition is about how much human time would it take to create the code that does the task (hopefully in a reasonable amount of time). If code A runs 20 times faster than code B but code B took 1/20th of the time to write, depending on the granularity of the timer (1ms vs 20ms, 1 week vs 20 weeks), each version could be considered "efficient".
Dim input = "abcdeeabc"
Dim sort = "dfbcae"
Dim SortChars = sort.ToList()
Dim output = New String((From c In input.ToList() Select c Order By SortChars.IndexOf(c)).ToArray())
Trace.WriteLine(output)
Here is my solution to the question
import java.util.*;
import java.io.*;
class SortString
{
public static void main(String arg[])throws IOException
{
BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
// System.out.println("Enter 1st String :");
// System.out.println("Enter 1st String :");
// String s1=br.readLine();
// System.out.println("Enter 2nd String :");
// String s2=br.readLine();
String s1="tracctor";
String s2="car";
String com="";
String uncom="";
for(int i=0;i<s2.length();i++)
{
if(s1.contains(""+s2.charAt(i)))
{
com=com+s2.charAt(i);
}
}
System.out.println("Com :"+com);
for(int i=0;i<s1.length();i++)
if(!com.contains(""+s1.charAt(i)))
uncom=uncom+s1.charAt(i);
System.out.println("Uncom "+uncom);
System.out.println("Combined "+(com+uncom));
HashMap<String,Integer> h1=new HashMap<String,Integer>();
for(int i=0;i<s1.length();i++)
{
String m=""+s1.charAt(i);
if(h1.containsKey(m))
{
int val=(int)h1.get(m);
val=val+1;
h1.put(m,val);
}
else
{
h1.put(m,new Integer(1));
}
}
StringBuilder x=new StringBuilder();
for(int i=0;i<com.length();i++)
{
if(h1.containsKey(""+com.charAt(i)))
{
int count=(int)h1.get(""+com.charAt(i));
while(count!=0)
{x.append(""+com.charAt(i));count--;}
}
}
x.append(uncom);
System.out.println("Sort "+x);
}
}
Here is my version which is O(n) in time. Instead of unordered_map, I could have just used a char array of constant size. i.,e. char char_count[256] (and done ++char_count[ch - 'a'] ) assuming the input strings has all ASCII small characters.
string SortOrder(const string& input, const string& sort_order) {
unordered_map<char, int> char_count;
for (auto ch : input) {
++char_count[ch];
}
string res = "";
for (auto ch : sort_order) {
unordered_map<char, int>::iterator it = char_count.find(ch);
if (it != char_count.end()) {
string s(it->second, it->first);
res += s;
}
}
return res;
}
private static String sort(String target, String reference) {
final Map<Character, Integer> referencesMap = new HashMap<Character, Integer>();
for (int i = 0; i < reference.length(); i++) {
char key = reference.charAt(i);
if (!referencesMap.containsKey(key)) {
referencesMap.put(key, i);
}
}
List<Character> chars = new ArrayList<Character>(target.length());
for (int i = 0; i < target.length(); i++) {
chars.add(target.charAt(i));
}
Collections.sort(chars, new Comparator<Character>() {
#Override
public int compare(Character o1, Character o2) {
return referencesMap.get(o1).compareTo(referencesMap.get(o2));
}
});
StringBuilder sb = new StringBuilder();
for (Character c : chars) {
sb.append(c);
}
return sb.toString();
}
In C# I would just use the IComparer Interface and leave it to Array.Sort
void Main()
{
// we defin the IComparer class to define Sort Order
var sortOrder = new SortOrder("dfbcae");
var testOrder = "abcdeeabc".ToCharArray();
// sort the array using Array.Sort
Array.Sort(testOrder, sortOrder);
Console.WriteLine(testOrder.ToString());
}
public class SortOrder : IComparer
{
string sortOrder;
public SortOrder(string sortOrder)
{
this.sortOrder = sortOrder;
}
public int Compare(object obj1, object obj2)
{
var obj1Index = sortOrder.IndexOf((char)obj1);
var obj2Index = sortOrder.IndexOf((char)obj2);
if(obj1Index == -1 || obj2Index == -1)
{
throw new Exception("character not found");
}
if(obj1Index > obj2Index)
{
return 1;
}
else if (obj1Index == obj2Index)
{
return 0;
}
else
{
return -1;
}
}
}