Recursion- reversing String - java

I believe that I have a decent understanding of recursion (factorial etc), however in the following example in reversing a string I do not understand the line. Can someone please explain what it does?
return reverseString(str.substring(1)) + str.charAt(0);
Full Code from method:
public static String reverseString(String str){
if(str.length()<2){
System.out.println("reached Base case");
return str;
}
return reverseString(str.substring(1)) + str.charAt(0);
}

The call substring(1) takes the first character off of the string. That is fed into the recursive call, which reverse all but the last character. Then, the first character is appended, completing the reversal.
Example:
reverseString("abc") =>
reverseString("bc") + 'a' =>
(reverseString("c") + 'b') + 'a' =>
("c" + 'b') + 'a' =>
"cb" + 'a' =>
"cba"

It takes everything after the first character and calls the recursive function. The first character is put at the end of the string. This results in a reversal.
return reverse(Everything after the first) + the first

return reverseString(str.substring(1)) + str.charAt(0);
For example, the String is HelloWorld
Then "HelloWorld".substring(1) returns "elloWorld"
and "HelloWorld".charAt(0) returns "H"
You take the first letter and add it to the end od the string. But before, you do it again with the first part. In the end, this algorithm reverses the string.

Let's take this string:
str = "Reverse";
The value of str.substring(1) is "everse".
The value of str.charAt(0) is "R".
I think you can take it from there if you understand recursion.

It inefficiently reverses the string by placing each successive sub-string on the stack until it reaches a length less then 2; it then reverses the characters by popping those results off the stack and appending the first character to the sub-string. It is inefficient because Java includes the StringBuilder class and that has a reverse method.

Try to think of reversing a string in this manner:
//reverse of a string can be expressed as the last character
//plus the reverse of everything remaining. For example, if we had
//"food", you would have "d" + reverse("foo"), which is "d" + "oof"
//which gives you "doof". So:
reverse(str) = str[str.length - 1] + reverse(str[0:str.length - 2]);
reverse(str[0]) = str[0] //reverse of a 1 character string is the character itself
So apply this to the string abcd:
You have:
reverse("abcd") = "d" + reverse("abc")
reverse("abc") = "c" + reverse("ab")
reverse("ab") = "b" + reverse("a")
reverse("a") = "a";
Now when you substitute you have:
reverse("ab") = "b" + "a" = "ba"
reverse("abc") = "c" + "ba" = "cba"
reverse("abcd") = "d" + "cba" = "dcba"
Think about how you can write code that mimics this behavior.

Related

CodingBat - Java - Warmup-2 - "stringYak" algorithm

I'm presently trying to understand a particular algorithm at the CodingBat platform.
Here's the problem presented by CodingBat:
*Suppose the string "yak" is unlucky. Given a string, return a version where all the "yak" are removed, but the "a" can be any char. The "yak" strings will not overlap.
Example outputs:
stringYak("yakpak") → "pak"
stringYak("pakyak") → "pak"
stringYak("yak123ya") → "123ya"*
Here's the official code solution:
public String stringYak(String str) {
String result = "";
for (int i=0; i<str.length(); i++) {
// Look for i starting a "yak" -- advance i in that case
if (i+2<str.length() && str.charAt(i)=='y' && str.charAt(i+2)=='k') {
i = i + 2;
} else { // Otherwise do the normal append
result = result + str.charAt(i);
}
}
return result;
}
I can't make sense of this line of code below. Following the logic, result would only return the character at the index, not the remaining string.
result = result + str.charAt(i);
To me it would make better sense if the code was presented like this below, where the substring function would return the letter of the index and the remaining string afterwards:
result = result + str.substring(i);
What am I missing? Any feedback from anyone would be greatly helpful and thank you for your valuable time.
String concatenation
In order to be on the same page, let's recap how string concatenation works.
When at least one of the operands in the expression with plus sign + is an instance of String, plus sign will be interpreted a string concatenation operator. And the result of the execution of the expression will be a new string created by appending the right operand (or its string representation) to the left operand (or its string representation).
String str = "allow";
char ch = 'h';
Object obj = new Object();
System.out.println(ch + str); // prints "hallow"
System.out.println("test " + obj); // prints "test java.lang.Object#16b98e56"
Explanation of the code-logic
That said, I guess you will agree that this statement concatenates a character at position i in the str to the resulting string and assigns the result of concatenation to the same variable result:
result = result + str.charAt(i);
The condition in the code provided by coding bat ensures whether the index i+2 is valid and then checks characters at indices i and i+2. If they are equal to y and k respectively. If that is not the case, the character will be appended to the resulting string. Athowise it will be discarded and the indexed gets incremented by 2 in order to skip the whole group of characters that constitute "yak" (with a which can be an arbitrary symbol).
So the resulting string is being constructed in the loop character by characters.
Flavors of substring()
Method substring() is overload, there are two flavors of it.
A version that expects two argument: the starting index inclusive, the ending index, exclusivesubstring(int, int).
And you can use it to achieve the same result:
// an equivalent of result = result + str.charAt(i);
result = result + str.substring(i, i + 1);
Another version of this method, that expects one argument will not be useful here. Because the result returned by str.substring(i) will be not a string containing a single character, but a substring staring from the given index, i.e. encompassing all the characters until the end of the string as documentation of substring(int) states:
public String substring(int beginIndex)
Returns a string that is a substring of this string. The substring
begins with the character at the specified index and extends to the
end of this string.
Examples:
"unhappy".substring(2) returns "happy"
"Harbison".substring(3) returns "bison"
"emptiness".substring(9) returns "" (an empty string)
Side note:
This coding-problem was introduced in order to master the basic knowledge of loops and string-operations. But actually the simplest to solve this problem is by using method replaceAll() that expects a regular expression and a replacement-string:
return str.repalaceAll("y.k", "");

How does this code work? (Java recursion)

Why does this code work?
public static String reverse(String a) {
if(a.length() == 0) {
return a;
} else {
return reverse(a.substring(1)) + a.charAt(0);
}
}
And this doesn't?:
public static String reverse(String a) {
if(a.length() == 0) {
return a;
} else {
return reverse(a.substring(1)) + a.substring(0);
}
}
Also, how does the recursion work in case 1, what does adding a.charAt(0) do? And how does this method ever reach the base case?
Because a.charAt(0) returns the first character, while a.substring(0) returns the entire String (from index 0). Change
return reverse(a.substring(1)) + a.substring(0);
to something like
return reverse(a.substring(1)) + a.substring(0, 1);
And it will work as expected.
To get better understanding about recursive code, you can try to print the state for each method calls, e.g.
public static String reverse(String a) {
System.out.println("Calling reverse(\"" + a + "\")");
if(a.length() == 0) {
System.out.println("Base case encountered for string : \"" + a + "\"");
return a;
} else {
String b = reverse(a.substring(1));
String c = a.charAt(0);
System.out.println(reverse(\"" + a + "\") returning \"" + b + "\" + \"" + c + "\"");
return b + c;
}
}
When you try to call reverse("xyz"), then you can see the following text printed within standard output:
Calling reverse("xyz")
Calling reverse("yz")
Calling reverse("z")
Calling reverse("")
Base case encountered for string : ""
reverse("z") returning "" + "z" = "z"
reverse("yz") returning "z" + "y" = "zy"
reverse("xyz") returning "zy" + "x" = "zyx"
We can see several things:
You reduce the string recursively until reaching the base case where the string is empty (has zero length).
For each non base case, you split the string into two segment, namely b and c. Then you return reverse(b) + c.
Firstly, 'a.substring()' returns the substring starting from the index given as parameter, so while using 'a.substring(1)' as the parameter of the recursive method the first character always gets skipped and the length of the string given as parameter decreases gradually. Once no character remains it reaches the base case.
Secondly, 'a.charAt()' returns the character exists at the index of the string given as parameter. So 'a.charAt(0)' returns the first index of the string 'a' which is given as the parameter of the recursive method.
Finally, the first code works because each time it sends the entire string except the first character and it includes that first character at the end of the string that is returned reversed. So at the end, the entire string gets reversed.
On the other hand, the second code includes the entire substring starting from the first index of the string given as its parameter instead of the first character.
To make the code work you can either use 'charAt(0)' like the first code -
return reverse(a.substring(1)) + a.charAt(0);
or you can use 'a.substring(0, 1)' which considers only the first character as the substring and returns it -
return reverse(a.substring(1)) + a.substring(0, 1);

Wrong Answer with Java

I'm a student that is learning Java, and I have this code:
lletres = lletres.replace(lletres.charAt(2), codi.charAt(codi.indexOf(lletres.charAt(2)) + 1));
lletres is a string, and it's like this
lletres = "BBB"
The result is "CCC" and I only want to change the last B, so the result can be like this: "BBC".
Reading the documentation for String.replace should explain what happened here (I marked the relevant part in bold):
Returns a string resulting from replacing all occurrences of oldChar in this string with newChar.
One way to solve it is to break the string up to the parts you want and then put it back together again. E.g.:
lletres = lletres.substring(0, 2) + (char)(lletres.charAt(2) + 1);
As others pointed replace() will replace all the occurrences which matched.
So, instead you can make use of replaceFirst() which will accept the regx
lletres = lletres.replaceFirst( lletres.charAt( 2 ) + "$", (char) ( lletres.charAt( 2 ) + 1 ) + "" )
You could use StringBuilder for your purpose:
String lletres = "BBB";
String codi = "CCC";
StringBuilder sb = new StringBuilder(lletres);
sb.setCharAt(2, codi.charAt(codi.indexOf(lletres.charAt(2)) + 1));
lletres = sb.toString();
If you need to change only the last occurrence in the string, you need to split the string into parts first. I hope following snippet will be helpful to you.
String lletres = "BBB";
int lastIndex = lletres.lastIndexOf('B');
lletres = lletres.substring(0, lastIndex) + 'C' + lletres.substring(lastIndex+1);
This code will find index of last letter B and stores it in lastIndex. Then it splits the string and replaces that B letter with C letter.
Please keep in mind that this snippet doesn't check whether or not the letter B is present in the string.
With slight modification you can get it to replace whole parts of the string, not only letters. :)
Try this one.
class Rplce
{
public static void main(String[] args)
{
String codi = "CCC";
String lletres = "BBB";
int char_no_to_be_replaced = 2;
lletres = lletres.substring(0,char_no_to_be_replaced ) + codi.charAt(codi.indexOf(lletres.charAt(char_no_to_be_replaced )) + 1) + lletres.substring(char_no_to_be_replaced + 1);
System.out.println(lletres);
}
}
use this to replace the last character
lletres = lletres.replaceAll(".{1}$", String.valueOf((char) (lletres.charAt(2) + 1)));
suppose you have dynamic value at last index and you want to replace that value will increasing one then use this code
String lletres = "BBB";
int atIndex = lletres.lastIndexOf('B');
char ReplacementChar = (char)(lletres.charAt(lletres.lastIndexOf('B'))+1);
lletres= lletres.substring(0, atIndex)+ReplacementChar;
System.out.println(lletres);
output
BBC

Remove "yak" from a string

I am working on a codingbat problem:Given a string, return a version where all the "yak" are removed, but the "a" can be any char. The "yak" strings will not overlap. I am look at the solution but there is one part of that code I do not understand.....
How come the first part of the if statement "i = i+ 2" could return the string and you don't need anything else? I mean after all these three conditions are met and just write i = i + 2,and that's it. that is going to give you a String as a result. I don't get it, please help.
public String stringYak(String str) {
String result = "";
for (int i=0; i<str.length(); i++) {
// Look for i starting a "yak" -- advance i in that case
if (i+2<str.length() && str.charAt(i)=='y' && str.charAt(i+2)=='k') {
i = i + 2;
} else { // Otherwise do the normal append
result = result + str.charAt(i);
}
}
return result;
}
The code is selecting what characters to put in the new string.
We go through the characters one by one.
If we run into a "y.k", skip this whole section
Else add the character to the new string.
[a][b][y][c][k][d] => New String: [a] (a is okay)
.|..........................
[a][b][y][c][k][d] => New String: [a][b] (b is okay)
......|.....................
[a][b][y][c][k][d] => New String: [a][b] (Oops! We have run into the y.k
pattern, skip it) ..........|.................
[a][b][y][c][k][d] => New String: [a][b][d] (d is okay)
.....................|......
Final String: [a][b][d]
This may not be the style of answer you want, but a simple call to String#replaceAll() should work:
String str = "Some string yak containing yok.";
str = str.replaceAll("y.k", "");
Doing i = i + 2 is not going to give you any String it is simply incrementing the for loop so you do not need to re-evaluate the next two chars as they have already been evaluated.
The key point is in the else part, which will append the char if it is not y and the character after-next is also not k

Why does concatenated characters print a number?

I have the following class:
public class Go {
public static void main(String args[]) {
System.out.println("G" + "o");
System.out.println('G' + 'o');
}
}
And this is compile result;
Go
182
Why my output contain a number?
In the second case it adds the unicode codes of the two characters (G - 71 and o - 111) and prints the sum. This is because char is considered as a numeric type, so the + operator is the usual summation in this case.
+ operator with character constant 'G' + 'o' prints addition of charCode and string concatenation operator with "G" + "o" will prints Go.
The plus in Java adds two numbers, unless one of the summands is a String, in which case it does string concatenation.
In your second case, you don't have Strings (you have char, and their Unicode code points will be added).
System.out.println("G" + "o");
System.out.println('G' + 'o');
First one + is acted as a concat operater and concat the two strings. But in 2nd case it acts as an addition operator and adds the ASCII (or you cane say UNICODE) values of those two characters.
This previous SO question should shed some light on the subject, in your case you basically end up adding their ASCII values (71 for G) + (111 for o) = 182, you can check the values here).
You will have to use the String.valueOf(char c) to convert that character back to a string.
The "+" operator is defined for both int and String:
int + int = int
String + String = String
When adding char + char, the best match will be :
(char->int) + (char->int) = int
But ""+'a'+'b' will give you ab:
( (String) + (char->String) ) + (char->String) = String
+ is always use for sum(purpose of adding two numbers) if it's number except String and if it is String then use for concatenation purpose of two String.
and we know that char in java is always represent a numeric.
that's why in your case it actually computes the sum of two numbers as (71+111)=182 and not concatenation of characters as g+o=go
If you change one of them as String then it'll concatenate the two
such as System.out.println('G' + "o")
it will print Go as you expect.

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