java.lang.StringIndexOutOfBoundsException for the soln - java

This program is throwing java.lang.StringIndexOutOfBoundsException.
Prime numbers in a single long string: "2357111317192329..."
Test cases
Inputs:
(int) n = 0
Output:
(string) "23571"
Inputs:
(int) n = 3
Output:
(string) "71113"
public class Answer {
public static String answer(int n) {
int i = 0;
int num = 0;
String primeNumbers = "";
char[] ar = new char[5];
for (i = 1; i <= 10000; i++) {
int counter = 0;
for (num = i; num >= 1; num--) {
if (i % num == 0) {
counter = counter + 1;
}
}
if (counter == 2) {
primeNumbers = primeNumbers + i;
}
}
ar[0] = primeNumbers.charAt(n);
ar[1] = primeNumbers.charAt(n + 1);
ar[2] = primeNumbers.charAt(n + 2);
ar[3] = primeNumbers.charAt(n + 3);
ar[4] = primeNumbers.charAt(n + 4);
return String.valueOf(ar);
}
}

try this solution:
public class Answer {
public static String answer(int n) {
StringBuilder primeNumberString = new StringBuilder(0);
int currentPrimeNumber = 2;
while (primeNumberString.length() < n+5) {
primeNumberString.append(currentPrimeNumber);
currentPrimeNumber++;
for (int index = 2; index < currentPrimeNumber; index++) {
if (currentPrimeNumber % index == 0) {
currentPrimeNumber++;
index = 2;
} else {
continue;
}
}
}
return primeNumberString.toString().substring(n, n+5)
}
}
=======================================================
EDIT
The problem statement suggests that the required output from the method you have written should be a string of length 5 and it should be from 'n' to 'n+4'.
Our goal should be to come up with a solution that gives us the string from n to n+4 using as less resources as possible and as fast as possible.
In the approach you have taken, you are adding in your string, all the prime numbers between 0 and 10000. Which comes up to about 1,229 prime numbers. The flaw in this approach is that if the input is something like 0. You are still building a string of 1,229 prime numbers which is totally unnecessary. If the input is something like 100000 then the error you are facing occurs, since you don't have a big enough string.
The best approach here is to build a string up to the required length which is n+5. Then cut the substring out of it. It's simple and efficient.

Probably you don't generate enough length of the string and given value out of your length of string.
I would recommend you to check your program on max value of given N. Also I would recommend you to not use String (read about creating a new object each time when you concatenate String) and simplify the second loop.
public static String answer(int n) {
StringBuilder sb = new StringBuilder("");
char[] ar = new char[5];
for (int i = 2; i <= 10000; i++) {
boolean flag = true;
for (int j = 2; j*j <= i; j++) {
if(i%j==0) {
flag = false;
break;
}
}
if(flag) {
sb.append(i);
}
}
ar[0] = sb.charAt(n);
ar[1] = sb.charAt(n + 1);
ar[2] = sb.charAt(n + 2);
ar[3] = sb.charAt(n + 3);
ar[4] = sb.charAt(n + 4);
return String.valueOf(ar);
}

Related

add 1 to all digits in string

I am working on strings and working on a problem. The problem statement is to "add one to all digits inside string".I am not getting desired output for input numbers 129 and 9923.
can anyone please help!
import java.util.*;
public class Increment {
public static void main(String[] args) {
String number = "129";
int len = number.length();
int i = 0;
int temp = 0;
int before = 0;
int carry = 0;
String result = number;
for (i = len - 1; i >= 0; i--) {
temp = Integer.parseInt(number.charAt(i) + "");
if (temp >= 0 && temp < 9) {
carry = 0;
temp = temp + 1;
result = result.replace(number.charAt(i), (char)(temp + '0'));
} else {
carry = 1;
if (i != 0) {
before = Integer.parseInt(number.charAt(i - 1) + "");
before = before + 1;
result = result.replace(number.charAt(i), '0');
result = result.replace(number.charAt(i - 1), (char)(before + carry));
i = i - 1;
} else {
result = result.replace(number.charAt(i), '0');
result = "1" + result;
}
}
}
System.out.println(result);
}
}
You define a method for adding two strings and call that method
public static String addStrings(String num1, String num2) {
StringBuilder sb = new StringBuilder();
int i = num1.length() - 1, j = num2.length() - 1;
int carry = 0, sum = 0;
while (i >= 0 || j >= 0) {
sum = carry;
if (i >= 0) sum += num1.charAt(i) - '0';
if (j >= 0) sum += num2.charAt(j) - '0';
sb.append(sum % 10);
carry = sum / 10;
i--;
j--;
}
if (carry != 0) sb.append(carry);
return sb.reverse().toString();
}
, main
public static void main(String[] args) {
String num1 = "129";
String num2 = "9923";
String res1 = addStrings(num1, "1".repeat(num1.length()));
String res2 = addStrings(num2, "1".repeat(num2.length()));
System.out.println(res1);
System.out.println(res2);
}
, output
240
11034
I would use regex, it makes it a much simpler solution:
public static void main(String[] args) {
String text = "text240 moretext 350 evenmore460text";
Pattern pattern = Pattern.compile("\\d+");
Matcher matcher = pattern.matcher(text);
while (matcher.find()) {
String value = matcher.group();
int val = Integer.parseInt(value) + 1;
text = text.replace(value, Integer.toString(val));
}
System.out.println(text);
}
The problem is this line of code, check here for more info
result = result.replace(number.charAt(i - 1), (char) (before + carry));
You may change it like below, but that would replace all occurrences of first argument as #user16320675 points out
result = result.replace(number.charAt(i - 1), Character.forDigit(before + carry, 10));
So, I would suggest to use StringBuilder instead of String in order to take advantage of the setCharAt(int idx, char c) method

Loop to add string of number

I try for an exercice to add
String nb = "135";
String nb2 = "135";
Result should be a String of "270"
I have no idea how to do that...I try to make a for loop and make an addition : nb.charAt(i) + nb2.charAt(i) but with no succes, I don't know what I have to do with the carry over.
EDIT : I try to don't use Integer or BigInteger, only String this is why I try to use a for loop.
Thanks for clue.
String str = "";
// Calculate length of both String
int n1 = nb.length(), n2 = nb2.length();
int diff = n2 - n1;
// Initially take carry zero
int carry = 0;
// Traverse from end of both Strings
for (int i = n1 - 1; i>=0; i--)
{
// Do school mathematics, compute sum of
// current digits and carry
int sum = ((int)(nb.charAt(i)-'0') +
(int) nb2.charAt(i+diff)-'0') + carry);
str += (char)(sum % 10 + '0');
carry = sum / 10;
}
// Add remaining digits of nb2[]
for (int i = n2 - n1 - 1; i >= 0; i--)
{
int sum = ((int) nb2.charAt(i) - '0') + carry);
str += (char)(sum % 10 + '0');
carry = sum / 10;
}
// Add remaining carry
if (carry > 0)
str += (char)(carry + '0');
// reverse resultant String
return new StringBuilder(str).reverse().toString();
try below snippet:
String s1 = "135";
String s2 = "135";
String result = Integer.toString (Integer.parseInt(s1)+Integer.parseInt(s2));
try converting char to int using Integer.parseInt(nb.charAt(i)) + Integer.parseInt(nb2.charAt(i))
you can use Character.numericValue to give you the integer value of a character, this will probably help you write the method. This method will also return -1 if there is no numeric value or -2 if it is fractional like the character for 1/2
You need to convert the strings to numbers to add them. Let's use BigInteger, just in case the numbers are really big:
String nb = "135";
String nb2 = "135";
BigInteger num1 = new BigInteger(nb);
BigInteger num2 = new BigInteger(nb2);
String result = num1.add(num2).toString();
Do it as follows:
public class Main {
public static void main(String args[]) {
System.out.println(getSum("270", "270"));
System.out.println(getSum("3270", "270"));
System.out.println(getSum("270", "3270"));
}
static String getSum(String n1, String n2) {
StringBuilder sb = new StringBuilder();
int i, n, cf = 0, nl1 = n1.length(), nl2 = n2.length(), max = nl1 > nl2 ? nl1 : nl2, diff = Math.abs(nl1 - nl2);
for (i = max - diff - 1; i >= 0; i--) {
if (nl1 > nl2) {
n = cf + Integer.parseInt(String.valueOf(n1.charAt(i + diff)))
+ Integer.parseInt(String.valueOf(n2.charAt(i)));
} else {
n = cf + Integer.parseInt(String.valueOf(n1.charAt(i)))
+ Integer.parseInt(String.valueOf(n2.charAt(i + diff)));
}
if (n > 9) {
sb.append(n % 10);
cf = n / 10;
} else {
sb.append(n);
cf = 0;
}
}
if (nl1 > nl2) {
for (int j = i + 1; j >= 0; j--) {
sb.append(n1.charAt(j));
}
} else if (nl1 < nl2) {
for (int j = i + 1; j >= 0; j--) {
sb.append(n2.charAt(j));
}
}
return sb.reverse().toString();
}
}
Output:
540
3540
3540
I would like to propose a much cleaner solution that adds 2 positive numbers and returns the result. Just maintain a carry while adding 2 digits and add carry in the end if carry is greater than 0.
public class Main{
public static void main(String[] args) {
System.out.println(addTwoNumbers("135","135"));
}
private static String addTwoNumbers(String s1,String s2){
if(s1.length() < s2.length()) return addTwoNumbers(s2,s1);
StringBuilder result = new StringBuilder("");
int ptr2 = s2.length() - 1,carry = 0;
for(int i=s1.length()-1;i>=0;--i){
int res = s1.charAt(i) - '0' + (ptr2 < 0 ? 0 : s2.charAt(ptr2--) - '0') + carry;
result.append(res % 10);
carry = res / 10;
}
if(carry > 0) result.append(carry);
return trimLeadingZeroes(result.reverse().toString());
}
private static String trimLeadingZeroes(String str){
for(int i=0;i<str.length();++i){
if(str.charAt(i) != '0') return str.substring(i);
}
return "0";
}
}
Demo: https://onlinegdb.com/Sketpl-UL
Try this i hope it works for you
Code
public static int convert_String_To_Number(String numStr,String numStr2) {
char ch[] = numStr.toCharArray();
char ch2[] = numStr2.toCharArray();
int sum1 = 0;
int sum=0;
//get ascii value for zero
int zeroAscii = (int)'0';
for (char c:ch) {
int tmpAscii = (int)c;
sum = (sum*10)+(tmpAscii-zeroAscii);
}
for (char d:ch2) {
int tmpAscii = (int)d;
sum1 = (sum*10)+(tmpAscii-zeroAscii);
}
return sum+sum1;
}
public static void main(String a[]) {
System.out.println("\"123 + 123\" == "+convert_String_To_Number("123" , "123"));
}
}

The smallest Palindrome number is greater N

For a given positive integer N of not more than 1000000 digits, write the value of the smallest palindrome larger than N to output.
Here is my code:
public class Palin {
public static String reverseString(String s) {
String newS = "";
for(int i = s.length() - 1; i >= 0; i--)
newS += s.charAt(i);
return newS;
}
public static String getPalin(String s) {
int lth = s.length();
String left = "", mid = "", right = "", newS = "";
if(lth % 2 != 0) {
left = s.substring(0, lth / 2);
mid = s.substring(lth / 2, lth / 2 + 1);
right = reverseString(left);
newS = left + mid + right;
if(s.compareTo(newS) < 0) return newS;
else {
int temp = Integer.parseInt(mid);
temp++;
mid = Integer.toString(temp);
newS = left + mid + right;
return newS;
}
}
else {
left = s.substring(0, lth / 2 - 1);
mid = s.substring(lth / 2 - 1, lth / 2);
right = reverseString(left);
newS = left + mid + mid + right;
if(s.compareTo(newS) < 0) return newS;
else {
int temp = Integer.parseInt(mid);
temp++;
mid = Integer.toString(temp);
newS = left + mid + mid + right;
return newS;
}
}
}
public static void main(String[] args) throws java.lang.Exception {
Scanner input = new Scanner(System.in);
//Scanner input = new Scanner(System.in);
int k = input.nextInt();
String[] s = new String[k];
for(int i = 0; i < k; i++) {
s[i] = input.next();
}
for(int i = 0; i < k; i++) {
System.out.println(getPalin(s[i]));
}
}
}
My idea is use a String represent for a number. I divide this String into 2 part, coppy first part and reverse it for second part. I think my solve is correct but it not fast enough. I need a more efficient algorithm.
Thanks
EDITED
Since you said that:
For a given positive integer N of not more than 1000000 digits
My previous solution won't work since I have converted them to int and an int can't accommodate 1000000 digits. Thus I have made a new approach, an approach that doesn't need any String to int conversion.
Refer to the code and comment below for details.
CODE:
package main;
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner input = new Scanner(System.in);
// Scanner input = new Scanner(System.in);
int k = Integer.parseInt(input.nextLine());
String[] s = new String[k];
for (int i = 0; i < k; i++) {
s[i] = input.nextLine();
}
for (int i = 0; i < k; i++) {
System.out.println(getPalin(s[i]));
}
input.close();
}
public static String getPalin(String s) {
// initialize the result to "" since if input is 1 digit, nothing is printed
String result = "";
// if input is greater than 1000000 digits
if (s.length() >= 1000000) {
// return the highest palindrome less than 1000000
result = "999999";
} else if (s.length() > 1) {
// get the middle index of the string
int mid = s.length() % 2 == 0 ? s.length() / 2 : (s.length() / 2) + 1;
// get the left part of the string
String leftPart = getPalindrome(s.substring(0, mid));
if (s.length() % 2 == 0) {
// attach the left part and the reverse left part
result = leftPart + new StringBuilder(leftPart).reverse().toString();
} else {
// attach the left part and the reverse left part excluding the middle digit
result = leftPart
+ new StringBuilder(leftPart.substring(0, leftPart.length() - 1)).reverse().toString();
}
// check if the new result greater than 1000000 digits
if (result.length() >= 1000000) {
// return the highest palindrome less than 1000000
result = "999999";
}
}
return result;
}
public static String getPalindrome(String param) {
String result = "";
// iterate through the string from last index until index 0
for (int i = param.length() - 1; i >= 0; i--) {
// get the char at index i
char c = param.charAt(i);
/*
* increment char since the next palindrome is the current digit + 1. Example:
* User input is 121, then param will be 12 so the next is 13
*/
c++;
/*
* check if the current character is greater than '9', which means it is not a
* digit after incrementing
*/
if (c > '9') {
// set the current char to 0
c = '0';
// check if index is at index 0
if (i - 1 < 0) {
// if at index 0 then add '1' at start
result = '1' + result;
} else {
// if not then append c at result
result = result + c;
}
} else {
// check if index is at index 0
if (i - 1 < 0) {
// if not then prepend c at result
result = c + result;
} else {
// if not then get the rest of param then append c and result
result = param.substring(0, i) + c + result;
}
break;
}
}
return result;
}
}

first half works but second half doesn't store any value

public class Palindrome
{
public static boolean isDoublePalindrome (char[] digits)
{
char[] firstHalf = new char[digits.length/2];
char[] secondHalf = new char[digits.length/2];
for(int a = 0; a < digits.length / 2; a++)
{
firstHalf[a] = digits[a];
System.out.print(firstHalf[a]);
}
for(int b = digits.length / 2; b < digits.length; b++)
{
secondHalf[b] = digits[b];
}
if(digits.length % 2 == 0)
{
for(int i = 0; i < digits.length / 2 - 1; i++)
{
if(digits[i] != digits[digits.length - i - 1])
{
return false;
}
else
{
return true;
}
}
for(int j = 0; j < firstHalf.length / 2 - 1; j++)
{
if(firstHalf[j] != firstHalf[digits.length - j - 1])
{
return false;
}
else
{
return true;
}
}
}
else if(digits.length % 2 != 0)
{
return false;
}
return false;
}
}
Here I take digits[] as parameter and whatever the character array in there I want to divide them into half and store first half into firstHalf and second half into secondHalf array. But when I debug, secondHalf doesn't have any values. Please help!!
method to do so
public int reverse(int num) {
int revNum = 0;
while (num > 0) {
int rem = num % 10;
revNum = (revNum * 10) + rem;
num = num / 10;
}
return revNum;
}
implementation
Scanner scanner = new Scanner(System.in);
System.out.println("Please enter a number: ");
int num = scanner.nextInt();
System.out.println("Please enter a string: ");
String str = scanner.next();
Palindrome palin = new Palindrome();
int revNum = palin.reverse(num);
if (num == revNum) {
System.out.printf("\n The number %d is a Palindrome ", num);
} else {
System.out.printf("\n The number %d is not a Palindrome ", num);
}
here palindrome is class name of main method hope my works helps you in this regard.
First off, be careful dividing your array length by 2, you may have an odd length (making one half 1 longer than the other).
What happens if "digits" is an odd number length? It can still be a palindrome.
To answer your question, in the second loop your assigning values to secondHalf[b], which is past it's length: "digits.length / 2". You should be assigning values into secondHalf[] starting at zero.
If you're lazy, this could be your way:
public static boolean isPalindrome(String s){
String reverse = new StringBuffer(s).reverse().toString();
if(s.equalsIgnoreCase(reverse))
return true;
else
return false;
}
And if you are not allowed to cheat, this could help you:
public static boolean isPalindrome(String s){
char[] chars = s.toCharArray();
for(int i = 0; i < chars.length / 2; i++){
if(Character.toLowerCase(chars[i]) != Character.toLowerCase(chars[chars.length - 1 - i]))
return false;
}
return true;
}
EDIT: With the second version you also don't encounter the problem of overlooking a character, because if it is a odd number, it would be the middle character that both sides of the string share.

Homework: how to write own multiplication of big numbers?

In my project I have to deal with multiplication of big numbers ( greater then java.long ) stared in my own BigNumber class as int[]. Basically I need to implement something like this :
157 x
121 y
----
157 result1
314 + result2
157 + result3
------
18997 finalResult
But how do I implement it?
I thought about expanding result2,3 with zeros (3140, 15700) and adding them. But first I somehow need to navigate between each digit of y and multiply it by each digit of x.
Use the diagonal approach. Make an array, and multiply each digit by each other digit and fill in the numbers in each cell.
36 x 92
3 6
+-----+-----+
| 2 / | 5 / |
9 | / | / |
| / 7 | / 4 |
+-----+-----+
| 0 / | 1 / |
2 | / | / |
| / 6 | / 2 |
+-----+-----+
Add the numbers on each diagonal. Move from the least-significant digit (at the lower right) to the most (upper left).
2 2 (least-significant)
(6 + 1 + 4) = 11 (make this 1, and carry the 1 to the next digit) 1
(5 + 7 + 0 + 1(carried)) = 13 (make this 3, and carry the 1) 3
2 + 1(carried) = 3 3 (most-significant)
The answer's 3312.
Make a two-dimensional array of your digits. Fill the array with the multiplications of the single digits together.
Write some logic to scrape the diagonals as I did above.
This should work for arbitrarily large numbers (as long as you still have memory left).
Here's the code I had written. Basically same as manual multiplication. Pass the two big numbers as strings to this function, the result is returned as a string.
public String multiply(String num1, String num2){
int product, carry=0, sum=0;
String result = new String("");
String partial = new String("");
ArrayList<String> partialList = new ArrayList<String>();
/* computing partial products using this loop. */
for(int j=num2.length()-1 ; j>=0 ; j--) {
for(int i=num1.length()-1 ; i>=0 ; i--) {
product = Integer.parseInt((new Character(num1.charAt(i))).toString()) *
Integer.parseInt((new Character(num2.charAt(j))).toString()) + carry;
carry = product/10;
partial = Integer.toString(product%10) + partial;
}
if(carry != 0)
partial = Integer.toString(carry) + partial;
partialList.add(partial);
partial = "";
carry = 0;
}
/* appending zeroes incrementally */
for(int i=0 ; i<partialList.size() ; i++)
partialList.set(i, partialList.get(i) + (Long.toString( (long)java.lang.Math.pow(10.0,(double)i))).substring(1) );
/* getting the size of the largest partial product(last) */
int largestPartial = partialList.get(partialList.size()-1).length();
/* prefixing zeroes */
int zeroes;
for(int i=0 ; i<partialList.size() ; i++) {
zeroes = largestPartial - partialList.get(i).length();
if(zeroes >= 1)
partialList.set(i, (Long.toString( (long)java.lang.Math.pow(10.0,(double)zeroes))).substring(1) + partialList.get(i) );
}
/* to compute the result */
carry = 0;
for(int i=largestPartial-1 ; i>=0 ; i--) {
sum = 0;
for(int j=0 ; j<partialList.size() ; j++)
sum = sum + Integer.parseInt(new Character(partialList.get(j).charAt(i)).toString());
sum = sum + carry;
carry = sum/10;
result = Integer.toString(sum%10) + result;
}
if(carry != 0)
result = Integer.toString(carry) + result;
return result;
}
I would avoid the headaches of writing your own and just use the java.math.BigInteger class. It should have everything you need.
Separating out the carrying and the digit multiplication:
def carries(digitlist):
digitlist.reverse()
for idx,digit in enumerate(digitlist):
if digit>9:
newdigit = digit%10
carry = (digit-newdigit)/10
digitlist[idx] = newdigit
if idx+1 > len(digitlist)-1:
digitlist.append(carry)
else:
digitlist[idx+1] += carry
digitlist.reverse()
return True
def multiply(first,second):
digits = [0 for place in range(len(first)+len(second))]
for fid,fdig in enumerate(reversed(first)):
for sid,sdig in enumerate(reversed(second)):
offset = fid+sid
mult = fdig*sdig
digits[offset] += mult
digits.reverse()
carries(digits)
return digits
def prettify(digitlist):
return ''.join(list(`i` for i in digitlist))
Then we can call it:
a = [1,2,3,4,7,6,2]
b = [9,8,7,9]
mult = multiply(a,b)
print prettify(a)+"*"+prettify(b)
print "calc:",prettify(mult)
print "real:",int(prettify(a))*int(prettify(b))
Yields:
1234762*9879
calc: 12198213798
real: 12198213798
Of course the 10s in the carries function and the implicit decimal representation in prettify are the only thing requiring this to be base 10. Adding an argument could make this base n, so you could switch to base 1000 in order to reduce the numbers of blocks and speed up the calculation.
I have implemented this in C++. refer to this for logic...
#include <iostream>
#include <deque>
using namespace std;
void print_num(deque<int> &num) {
for(int i=0;i < num.size();i++) {
cout<<num[i];
}
cout<<endl;
}
deque<int> sum(deque<int> &oppA, deque<int> &oppB) {
if (oppA.size() == 0) return oppB;
if (oppB.size() == 0) return oppA;
deque<int> result;
unsigned int carry = 0;
deque<int>::reverse_iterator r_oppA = oppA.rbegin();
deque<int>::reverse_iterator r_oppB = oppB.rbegin();
while ((r_oppA != oppA.rend()) && (r_oppB != oppB.rend())) {
int tmp = *r_oppA + *r_oppB + carry;
result.push_front(tmp % 10);
carry = tmp / 10;
r_oppB++;
r_oppA++;
}
while (r_oppA != oppA.rend()) {
int tmp = *r_oppA + carry;
result.push_front(tmp % 10);
carry = tmp / 10;
r_oppA++;
}
while (r_oppB != oppB.rend()) {
int tmp = *r_oppB + carry;
result.push_front(tmp % 10);
carry = tmp / 10;
r_oppB++;
}
return result;
}
deque<int> multiply(deque<int>& multiplicand, deque<int>& multiplier) {
unsigned int carry = 0;
deque<int> result;
int deci_cnt = 0;
deque<int>::reverse_iterator r_multiplier = multiplier.rbegin();
deque<int> tmp_result;
while (r_multiplier != multiplier.rend()) {
for (int i=0; i<deci_cnt ;i++) {
tmp_result.push_front(0);
}
deque<int>::reverse_iterator r_multiplicand = multiplicand.rbegin();
while (r_multiplicand != multiplicand.rend()) {
int tmp = (*r_multiplicand) * (*r_multiplier) + carry;
tmp_result.push_front(tmp % 10);
carry = tmp / 10;
r_multiplicand++;
}
if (carry != 0) {
tmp_result.push_front(carry);
carry = 0;
}
result = sum(result, tmp_result);
deci_cnt++;
tmp_result.clear();
r_multiplier++;
}
return result;
}
deque<int> int_to_deque(unsigned long num) {
deque<int> result;
if (num == 0) {
result.push_front(0);
}
while (num > 0) {
result.push_front(num % 10);
num = num / 10;
}
return result;
}
int main() {
deque<int> num1 = int_to_deque(18446744073709551615ULL);
deque<int> num2 = int_to_deque(18446744073709551615ULL);
deque<int> result = multiply(num1, num2);
print_num(result);
return 0;
}
Output: 340282366920928463426481119284349108225
You're going to have to treat each int in the array as a single "digit". Instead of using base 10 where each digit goes from 0 to 9, you'll have to use base 2^32 = 4294967296, where every digit goes from 0 to 4294967295.
I would first implement addition, as your algorithm for multiplication might use addition as an auxiliary.
As this is for homework I'll give a few hints.
You could approach it the same way you show your example, using strings to hold numbers of any length and implementing:
add one number to another
multiply as your example by appending zeroes and calling the addition method per step (so for multiply with 20, append the "0" and addd that number twice
The addition method you can build by retrieving the char[] from the strings, allocate a result char[] that is 1 longer than the longest and add like you would do on paper from the end back to the start of both arrays.
The end result will not be the best performing solution, but it it easy to show it is correct and will handle any length numbers (as long they will fit a Java string.)
Update
Ok, if you solved adding two numbers, you could:
implement multiplication by 10
implement multiplication by repeated addition like in your example
or:
implement multiplication by 2 (left shift)
implement a binary multiplication via the same concept, only this time x 2 and add once
to illustrate the latter,
13
5 x
----
13 x 1
26 x 0
52 x 1
---- +
65
note that the 1 0 1 are the bits in the number (5) you multiply with and 26 = 13 x 2, 52 = 26 x 2. Your get the idea :-)
did it my own way :
int bigger = t1.length;
int smaller = t2.length;
int resultLength = bigger + smaller;
int []resultTemp = new int[resultLength];
int []result = new int[bigger + smaller];
int []temporary = new int[resultLength+1];
int z = resultLength-1;
int zet = z;
int step = 0;
int carry = 0;
int modulo = 0;
for(int i=smaller-1; i>=0; i--){
for(int k = bigger-1; k>= -1; k--){
if(k == -1 && carry != 0 ){
resultTemp[z] = carry;
carry = 0;
break;
}
else if(k == -1 && carry == 0){
resultTemp[z] = 0;
break;
}
resultTemp[z] = carry + t1[k]*t2[i];
carry = 0;
if( resultTemp[z] > 9 ){
modulo = resultTemp[z] % 10;
carry = resultTemp[z]/10;
resultTemp[z] = modulo;
}
else{
resultTemp[z] = resultTemp[z];
}
z--;
}
temporary = add(resultTemp, result);
result = copyArray(temporary);
resultTemp = clear(resultTemp);
z = zet;
step++;
z = z - step;
}
then I check the sign.
Since this is homework... Are you sure using an int array is your best shot?
I tried to implement something similar a year ago for performance in a research
project, and we ended up going with concatenated primitives..
Using this you can take advantage of what's already there, and "only" have to worry about overflows near the ends.. This might prove to be fairly simple when you implement your multiplication with <<'s (bit shift lefts) and additions..
Now if you want a real challenge try to implement a modulo... ;)
You can check the below solution which teaches us both multiplication and addition of bigger numbers. Please comment if it can be improved.
public static void main(String args[]) {
String s1 = "123666666666666666666666666666666666666666666666669999999999999999999999999666666666666666666666666666666666666666666666666666666666666666666";
String s2 = "45688888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888";
System.out.println(multiply(s1, s2));
}
private static String multiply(String s1, String s2) {
int[] firstArray = convert(s1);
int[] secondArray = convert(s2);
//System.out.println(Arrays.toString(firstArray));
//System.out.println(Arrays.toString(secondArray));
// pass the arrays and get the array which is holding the individual
// rows while we multiply using pen and paper
String[] result = doMultiply(firstArray, secondArray);
//System.out.println(Arrays.toString(result));
// Now we are almost done lets format them as we like
result = format(result);
//System.out.println(Arrays.toString(result));
//Add elements now and we are done
String sum="0";
for(String s:result){
sum=add(sum,s);
}
return sum;
}
private static String[] doMultiply(int[] firstArray, int[] secondArray) {
String[] temp = new String[secondArray.length];
for (int i = secondArray.length - 1; i >= 0; i--) {
int result = 0;
int carry = 0;
int rem = 0;
temp[secondArray.length - 1 - i] = "";
for (int j = firstArray.length - 1; j >= 0; j--) {
result = (secondArray[i] * firstArray[j]) + carry;
carry = result / 10;
rem = result % 10;
temp[secondArray.length - 1 - i] = rem
+ temp[secondArray.length - 1 - i];
}
// if the last carry remains in the last digit
if (carry > 0)
temp[secondArray.length - 1 - i] = carry
+ temp[secondArray.length - 1 - i];
}
return temp;
}
public static int[] convert(String str) {
int[] arr = new int[str.length()];
for (int i = 0; i < str.length(); i++) {
arr[i] = Character.digit(str.charAt(i), 10);
}
return arr;
}
private static String[] format(String[] result) {
for (int i = 0; i < result.length; i++) {
int j = 0;
while (j < i) {
result[i] += "0";
j++;
}
}
return result;
}
public static String add(String num1, String num2) {
//System.out.println("First Number :" + num1);
//System.out.println("Second Number :" + num2);
int max = num1.length() > num2.length() ? num1.length() : num2.length();
int[] numArr1 = new int[max];
int[] numArr2 = new int[max];
for (int i = 0; i < num1.length(); i++) {
numArr1[i] = Integer.parseInt(""
+ num1.charAt(num1.length() - 1 - i));
}
for (int i = 0; i < num2.length(); i++) {
numArr2[i] = Integer.parseInt(""
+ num2.charAt(num2.length() - 1 - i));
}
int carry = 0;
int[] sumArr = new int[max + 1];
for (int k = 0; k < max; k++) {
int tempsum = numArr1[k] + numArr2[k] + carry;
sumArr[k] = tempsum % 10;
carry = 0;
if (tempsum >= 10) {
carry = 1;
}
}
sumArr[max] = carry;
/* System.out.println("Sum :"
+ new StringBuffer(Arrays.toString(sumArr)).reverse()
.toString().replaceAll(",", "").replace("[", "")
.replace("]", "").replace(" ", ""));*/
return new StringBuffer(Arrays.toString(sumArr)).reverse().toString()
.replaceAll(",", "").replace("[", "").replace("]", "")
.replace(" ", "");
}
I think this will help you
import java.util.ArrayList;
import java.util.List;
public class Multiply {
static int len;
public static void main(String[] args) {
System.out.println(multiply("123456789012345678901","123456789012345678901");
}
private static ArrayList<Integer> addTheList(List<ArrayList<Integer>> myList) {
ArrayList<Integer> result=new ArrayList<>();
for(int i=0;i<len;i++)
{
result.add(0);
}
int index=0;
for(int i=0;i<myList.size();i++)
{
ArrayList<Integer> a=new ArrayList<>(myList.get(index));
ArrayList<Integer> b=new ArrayList<>(myList.get(index+1));
for (int j = 0; j < a.size()||j < b.size(); i++) {
result.add(a.get(i) + b.get(i));
}
}
return result;
}
private static ArrayList<Integer> multiply(ArrayList<Integer> list1, Integer integer) {
ArrayList<Integer> result=new ArrayList<>();
int prvs=0;
for(int i=0;i<list1.size();i++)
{
int sum=(list1.get(i)*integer)+prvs;
System.out.println(sum);
int r=sum/10;
int m=sum%10;
if(!(r>0))
{
result.add(sum);
}
else
{
result.add(m);
prvs=r;
}
if(!(i==(list1.size()-1)))
{
prvs=0;
}
}
if(!(prvs==0))
{
result.add(prvs);
}
return result;
}
private static ArrayList<Integer> changeToNumber(String str1) {
ArrayList<Integer> list1=new ArrayList<>();
for(int i=0;i<str1.length();i++)
{
list1.add(Character.getNumericValue(str1.charAt(i)));
}
return list1;
}
public static String multiply(String num1, String num2) {
String n1 = new StringBuilder(num1).reverse().toString();
String n2 = new StringBuilder(num2).reverse().toString();
int[] d = new int[num1.length()+num2.length()];
//multiply each digit and sum at the corresponding positions
for(int i=0; i<n1.length(); i++){
for(int j=0; j<n2.length(); j++){
d[i+j] += (n1.charAt(i)-'0') * (n2.charAt(j)-'0');
}
}
StringBuilder sb = new StringBuilder();
//calculate each digit
for(int i=0; i<d.length; i++){
int mod = d[i]%10;
int carry = d[i]/10;
if(i+1<d.length){
d[i+1] += carry;
}
sb.insert(0, mod);
}
//remove front 0's
while(sb.charAt(0) == '0' && sb.length()> 1){
sb.deleteCharAt(0);
}
return sb.toString();
}
}

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