Ways To Make Coin Change

Given an infinite supply of coins of each denomination from a list, determine the total number of distinct ways to make a change for a specified value. If making the change isn't possible, return 0.

Input:

The first line contains an integer N, which represents the total number of coin denominations. The second line contains N integers, each separated by a space, representing the denomination values. The third line contains an integer V, the target value for which change is to be made.

Output:

A single integer, indicating the total number of ways change can be made for the target value V.

Example:

Input:

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

Output:

4

Explanation: The four ways are: (1,1,1,1), (1,1,2), (1,3), and (2,2).

Constraints:

1

Question

Ways To Make Coin Change

Given an infinite supply of coins of each denomination from a list, determine the total number of distinct ways to make a change for a specified value. If making the change isn't possible, return 0.

Input:

The first line contains an integer N, which represents the total number of coin denominations.
The second line contains N integers, each separated by a space, representing the denomination values.
The third line contains an integer V, the target value for which change is to be made.

Output:

A single integer, indicating the total number of ways change can be made for the target value V.

Example:

Input:

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

Output:

Explanation: The four ways are: (1,1,1,1), (1,1,2), (1,3), and (2,2).

Constraints:

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

Note:

Implement the function without printing anything, as output management is already handled.

Accepted Answer

Given coin denominations and a target value, find the total number of ways to make change.

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.
Handle base cases such as making change for 0 value.
Consider all possible combinations of denominations to make change for the target value.