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You are given **N** identical eggs and you have access to a **K**-floored building from **1** to **K**.

There exists a floor **f** where **0** <= **f** <= **K **such that any egg dropped at a floor higher than **f** will break, and any egg dropped **at or below **floor **f **will **not break**. There are few rules given below.

- An egg that survives a fall can be used again.
- A broken egg must be discarded.
- The effect of a fall is the same for all eggs.
- If the egg doesn't break at a certain floor, it will not break at any floor below.
- If the eggs breaks at a certain floor, it will break at any floor above.

Return the minimum number of moves that you need to determine with certainty what the value of **f** is.

For more description on this problem see wiki page

**Example 1:**

**Input:
N **= 1**, K **= 2
**Output: **2
**Explanation:
**1. Drop the egg from floor 1. If it
breaks, we know that f = 0.
2. Otherwise, drop the egg from floor 2.
If it breaks, we know that f = 1.
3. If it does not break, then we know f = 2.
4. Hence, we need at minimum 2 moves to
determine with certainty what the value of f is.

**Example 2:**

Input:N = 2, K = 10Output:4

**Your Task:**

Complete the function **eggDrop()** which takes two positive integer N and K as input parameters and returns the minimum number of attempts you need in order to find the critical floor.

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

**Expected Auxiliary Space**: O(N*K)

**Constraints:**

1<=N<=200

1<=K<=200

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Egg Dropping Puzzle

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