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

Implement a function to determine the total number of ways to make change for a specified value using given denominations.

Use dynamic programming to keep track of the number of ways to make change for each value up to the target value.
Iterate through each denomination and update the number of ways to make change for each value based on the current denomination.
Return the total number of ways to make change for the target 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 denominations [1, 2, 3].