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3 changes: 3 additions & 0 deletions DIRECTORY.md
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Expand Up @@ -267,6 +267,7 @@
* [SumOfSubset](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/dynamicprogramming/SumOfSubset.java)
* [Tribonacci](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/dynamicprogramming/Tribonacci.java)
* [UniquePaths](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/dynamicprogramming/UniquePaths.java)
* [UniqueSubsequencesCount](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/dynamicprogramming/UniqueSubsequencesCount.java)
* [WildcardMatching](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/dynamicprogramming/WildcardMatching.java)
* [WineProblem](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/dynamicprogramming/WineProblem.java)
* geometry
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* [BoardPathTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/BoardPathTest.java)
* [CatalanNumberTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/CatalanNumberTest.java)
* [ClimbStairsTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/ClimbStairsTest.java)
* [DPTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/DPTest.java)
* [EditDistanceTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/EditDistanceTest.java)
* [EggDroppingTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/EggDroppingTest.java)
* [KnapsackMemoizationTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/KnapsackMemoizationTest.java)
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* [SumOfSubsetTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/SumOfSubsetTest.java)
* [TribonacciTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/TribonacciTest.java)
* [UniquePathsTests](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/UniquePathsTests.java)
* [UniqueSubsequencesCountTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/UniqueSubsequencesCountTest.java)
* [WildcardMatchingTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/WildcardMatchingTest.java)
* geometry
* [GrahamScanTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/geometry/GrahamScanTest.java)
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/* Hence, storing the results of the solved sub-problems saves time.
And it can be done using Dynamic Programming(DP).
// Time Complexity: O(m * n * x) where m is number of faces, n is number of dice and x is given sum.
Following is implementation of Dynamic Programming approach. */
// Code ---->
// Java program to find number of ways to get sum 'x' with 'n'
Expand Down Expand Up @@ -43,21 +44,4 @@ public static long findWays(int m, int n, int x) {

return table[n][x];
}

public static void main(String[] args) {
System.out.println(findWays(4, 2, 1));
System.out.println(findWays(2, 2, 3));
System.out.println(findWays(6, 3, 8));
System.out.println(findWays(4, 2, 5));
System.out.println(findWays(4, 3, 5));
}
}
/*
OUTPUT:
0
2
21
4
6
*/
// Time Complexity: O(m * n * x) where m is number of faces, n is number of dice and x is given sum.
56 changes: 56 additions & 0 deletions src/test/java/com/thealgorithms/dynamicprogramming/DPTest.java
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package com.thealgorithms.dynamicprogramming;

import static org.junit.jupiter.api.Assertions.assertEquals;

import org.junit.jupiter.api.Test;

public class DPTest {

@Test
void testSumLessThanMinimumFaceValue() {
// When the sum is less than the minimum possible face value
// There are 0 ways to achieve the sum
assertEquals(0, DP.findWays(4, 2, 1)); // 4 faces, 2 dice, sum = 1
}

@Test
void testTwoDiceWithSumEqualToTwo() {
// When there are 2 dice and the sum is equal to the number of dice
// The only way is to have both dice showing 1
assertEquals(1, DP.findWays(2, 2, 2)); // 2 faces, 2 dice, sum = 2
}

@Test
void testTwoDiceWithSumThree() {
// When there are 2 dice and the sum is equal to 3
// Possible combinations are (1,2) and (2,1)
assertEquals(2, DP.findWays(2, 2, 3)); // 2 faces, 2 dice, sum = 3
}

@Test
void testThreeDiceWithSumEight() {
// Test for 3 dice, each having 6 faces
// Possible combinations to make sum of 8
assertEquals(21, DP.findWays(6, 3, 8)); // 6 faces, 3 dice, sum = 8
}

@Test
void testTwoDiceWithSumFive() {
// Test for 2 dice, with 4 faces to make sum of 5
// Possible combinations: (1,4), (2,3), (3,2), (4,1)
assertEquals(4, DP.findWays(4, 2, 5)); // 4 faces, 2 dice, sum = 5
}

@Test
void testThreeDiceWithSumFive() {
// Test for 3 dice, with 4 faces to make sum of 5
// Possible combinations: (1,1,3), (1,2,2), (1,3,1), (2,1,2), (2,2,1), (3,1,1)
assertEquals(6, DP.findWays(4, 3, 5)); // 4 faces, 3 dice, sum = 5
}

@Test
void testEdgeCaseZeroSum() {
// Test for 0 sum with 0 dice
assertEquals(0, DP.findWays(4, 0, 0)); // 4 faces, 0 dice, sum = 0
}
}