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You start with an array **A** of size **N**. Also, **A[i] = 0** for **i = 1** to **N**. You will be given **K** positive integers. Let **j** be one of these integers, you have to add **1** to all **A[i]**, for** i ≥ j**. Your task is to print array A after all these **K** updates are done.

**Example 1: **

**Input:**
3 4
1 1 2 3
**Output:**
2 3 4
**Explanation:**
Initially the array is {0, 0, 0}. After the
first 1, it becomes {1, 1, 1}. After the
second 1 it becomes {2, 2, 2}. After 2, it
becomes {2, 3, 3}. After 3 it becomes, {2, 3, 4}.

**Example 2: **

**Input:**
2 3
1 1 1
**Output:**
3 3
**Explanation:**
Initially the array is {0, 0}. After the
first 1, it becomes {1, 1}. After the
second 1 it becomes {2, 2}. After the
third 1, it becomes {3, 3}.

**Your Task: **

You don't need to read input or print anything. Your task is to complete the function **update()** which takes the array **A[]** and its size **N**** **as inputs and make the updates and fill the array **A[].**

**Expected Time Complexity: **O(N)

**Expected Auxiliary Space: **O(1)

**Constraints:**

1 ≤ N, K ≤ 10^{5}

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