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Given a value N, find the number of ways to make change for N cents, if we have infinite supply of each of S = { S_{1}, S_{2}, .. , S_{M }} valued coins.

**Example 1:**

**Input:**
n = 4 , m = 3
S[] = {1,2,3}
**Output:** 4
**Explanation**: Four Possible ways are:
{1,1,1,1},{1,1,2},{2,2},{1,3}.

â€‹**Example 2:**

**Input**:
n = 10 , m = 4
S[] ={2,5,3,6}
**Output:** 5
**Explanation**: Five Possible ways are:
{2,2,2,2,2}, {2,2,3,3}, {2,2,6}, {2,3,5}
and {5,5}.

**Your Task:**

You don't need to read input or print anything. Your task is to complete the function **count() **which accepts an array **S[] **its size **m **and **n** as input parameter and returns the number of ways to make change for N cents.

**Expected Time Complexity: **O(m*n).

**Expected Auxiliary Space: **O(n).

**Constraints:**

1 <= n,m <= 10^{3}

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Coin Change

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