Ways To Make Coin Change

Given an infinite supply of coins of varying denominations, determine the total number of ways to make change for a specified value using these coins. If it's not possible to make the change, the result should be 0.

Input:

The first line contains an integer N, denoting the total number of denominations. The second line contains N space-separated integers, each representing a denomination value. The third line contains the integer V, representing the value to make change for.

Output:

An integer denoting the total number of ways to make change for V.

Example:

Input:

N = 3 D = [1, 2, 3] V = 4

Output:

4

Explanation:

There are four ways to make change for 4 using the denominations [1, 2, 3]:
1. 1+1+1+1
2. 1+1+2
3. 1+3
4. 2+2

Constraints:

1

Question

Ways To Make Coin Change

Given an infinite supply of coins of varying denominations, determine the total number of ways to make change for a specified value using these coins. If it's not possible to make the change, the result should be 0.

Input:

The first line contains an integer N, denoting the total number of denominations.
The second line contains N space-separated integers, each representing a denomination value.
The third line contains the integer V, representing the value to make change for.

Output:

An integer denoting the total number of ways to make change for V.

Example:

Input:

N = 3
D = [1, 2, 3]
V = 4

Output:

Explanation:

There are four ways to make change for 4 using the denominations [1, 2, 3]:
1. 1+1+1+1
2. 1+1+2
3. 1+3
4. 2+2

Constraints:

1 <= N <= 10
1 <= D[i] <= 10^5
1 <= V <= 2 * 10^3

Note: You don't need to handle the output; just implement the function as specified.

Accepted Answer

The task is to determine the total number of ways to make change for a specified value using given denominations.

Create a function that takes in the number of denominations, the denominations array, and the value to make change for as input parameters.
Use dynamic programming to iterate through all possible combinations of coins to make the change.
Keep track of the number of ways to make change for each value from 0 to the target value.
Return the total number of ways to make change for the specified value.
Example: For N=3, D=[1, 2, 3], V=4, the output should be 4 as there are 4 ways to make change for 4 using the given denominations.