diff --git a/DIRECTORY.md b/DIRECTORY.md index 0c235b792083..520e7b332d3c 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -788,6 +788,7 @@ * [ClimbStairsTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/ClimbStairsTest.java) * [CoinChangeTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/CoinChangeTest.java) * [CountFriendsPairingTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/dynamicprogramming/CountFriendsPairingTest.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) diff --git a/src/main/java/com/thealgorithms/dynamicprogramming/DiceThrow.java b/src/main/java/com/thealgorithms/dynamicprogramming/DiceThrow.java index e1be3ead5895..c3dc3f32ff7c 100644 --- a/src/main/java/com/thealgorithms/dynamicprogramming/DiceThrow.java +++ b/src/main/java/com/thealgorithms/dynamicprogramming/DiceThrow.java @@ -9,6 +9,7 @@ /* 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' @@ -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. diff --git a/src/test/java/com/thealgorithms/dynamicprogramming/DPTest.java b/src/test/java/com/thealgorithms/dynamicprogramming/DPTest.java new file mode 100644 index 000000000000..e3bea67fe269 --- /dev/null +++ b/src/test/java/com/thealgorithms/dynamicprogramming/DPTest.java @@ -0,0 +1,56 @@ +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 + } +}