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Added KURATSUBA MULTIPLICATION ALGORITHM in java #5006

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24c350e
Added KARATSUBA ALGORITHM in java
Danishyousuf19 Jan 7, 2024
712bee3
Added KARATSUBA Algorithm in java
Danishyousuf19 Jan 7, 2024
7015421
Delete KaratSubaMultiplication.java
Danishyousuf19 Jan 7, 2024
aea8233
Update KaratSubaMultiplication.java
Danishyousuf19 Jan 7, 2024
54b4f05
Update KaratSubaMultiplication.java
Danishyousuf19 Jan 7, 2024
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Jan 7, 2024
eccfda6
Update KaratSubaMultiplication.java
Danishyousuf19 Jan 7, 2024
1de40c9
Update KaratSubaMultiplication.java
Danishyousuf19 Jan 7, 2024
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7 changes: 5 additions & 2 deletions DIRECTORY.md
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Expand Up @@ -27,7 +27,6 @@
* [NonRepeatingNumberFinder](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/NonRepeatingNumberFinder.java)
* [NumbersDifferentSigns](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/NumbersDifferentSigns.java)
* [ReverseBits](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/ReverseBits.java)
* [SetKthBit](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/SetKthBit.java)
* [SingleBitOperations](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/SingleBitOperations.java)
* ciphers
* a5
Expand Down Expand Up @@ -271,6 +270,7 @@
* [AmicableNumber](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/AmicableNumber.java)
* [Area](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/Area.java)
* [Armstrong](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/Armstrong.java)
* [AutoCorrelation](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/AutoCorrelation.java)
* [AutomorphicNumber](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/AutomorphicNumber.java)
* [Average](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/Average.java)
* [BinaryPow](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/BinaryPow.java)
Expand All @@ -281,6 +281,7 @@
* [Combinations](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/Combinations.java)
* [Convolution](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/Convolution.java)
* [ConvolutionFFT](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/ConvolutionFFT.java)
* [CrossCorrelation](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/CrossCorrelation.java)
* [DeterminantOfMatrix](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/DeterminantOfMatrix.java)
* [DigitalRoot](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/DigitalRoot.java)
* [DistanceFormula](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/DistanceFormula.java)
Expand Down Expand Up @@ -311,6 +312,7 @@
* [JosephusProblem](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/JosephusProblem.java)
* [JugglerSequence](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/JugglerSequence.java)
* [KaprekarNumbers](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/KaprekarNumbers.java)
* [KaratSubaMultiplication](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/KaratSubaMultiplication.java)
* [KeithNumber](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/KeithNumber.java)
* [KrishnamurthyNumber](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/KrishnamurthyNumber.java)
* [LeastCommonMultiple](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/LeastCommonMultiple.java)
Expand Down Expand Up @@ -587,7 +589,6 @@
* [NonRepeatingNumberFinderTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/NonRepeatingNumberFinderTest.java)
* [NumbersDifferentSignsTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/NumbersDifferentSignsTest.java)
* [ReverseBitsTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/ReverseBitsTest.java)
* [SetKthBitTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/SetKthBitTest.java)
* [SingleBitOperationsTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/SingleBitOperationsTest.java)
* ciphers
* a5
Expand Down Expand Up @@ -712,13 +713,15 @@
* [AmicableNumberTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/AmicableNumberTest.java)
* [AreaTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/AreaTest.java)
* [ArmstrongTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/ArmstrongTest.java)
* [AutoCorrelationTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/AutoCorrelationTest.java)
* [AutomorphicNumberTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/AutomorphicNumberTest.java)
* [AverageTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/AverageTest.java)
* [BinaryPowTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/BinaryPowTest.java)
* [BinomialCoefficientTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/BinomialCoefficientTest.java)
* [CeilTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CeilTest.java)
* [CollatzConjectureTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CollatzConjectureTest.java)
* [CombinationsTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CombinationsTest.java)
* [CrossCorrelationTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CrossCorrelationTest.java)
* [DigitalRootTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/DigitalRootTest.java)
* [DistanceFormulaTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/DistanceFormulaTest.java)
* [DudeneyNumberTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/DudeneyNumberTest.java)
Expand Down
22 changes: 22 additions & 0 deletions src/main/java/com/thealgorithms/maths/KaratSubaMultiplication.java
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@@ -0,0 +1,22 @@
package com.thealgorithms.maths;
import java.math.BigInteger;
public class KaratSubaMultiplication {
static BigInteger multiple(BigInteger a, BigInteger b) {
int n = a.toString().length();
int m = b.toString().length();
n = Math.max(n, m);
m = n / 2;
if (n == 1 || m == 1) {
return a.multiply(b);
}
BigInteger x1, x0, y1, y0;
x1 = a.divide(BigInteger.valueOf(10).pow(m / 2));
y1 = b.divide(BigInteger.valueOf(10).pow(m / 2));
x0 = a.mod(BigInteger.valueOf(10).pow(m / 2));
y0 = b.mod(BigInteger.valueOf(10).pow(m / 2));
BigInteger p = multiple(x1.add(x0), y1.add(y0));
BigInteger x1y1 = multiple(x1, y1);
BigInteger x0y0 = multiple(x0, y0);
return x1y1.multiply(BigInteger.valueOf(10).pow(m)).add((p.subtract(x1y1).subtract(x0y0)).multiply(BigInteger.valueOf(10).pow(m / 2))).add(x0y0);
}
}