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You have ten white chocolates and ten dark chocolates with no distinction in packaging. What is the minimum number of draws at random so one has two chocolates of the same type?

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You are at the Bank of Portugal. It has excellent security measures. There are 2 Locker Rooms. One contains 1000 tons of Gold, whereas the other is an inescapable Police Trap. You, being the Professor, have found a loophole. The two guards securing the Gates are innocent and have a weird family tradition. One Guard never lies, and the other never speaks the truth. You are disguised as an older man and can ask them no more than a question before becoming suspicious. So what question do you ask any one of them to know the right room that contains the treasure and inform the gang so they can carry out the heist successfully?

You are given an array 'nums' consisting of first N positive integers. But from the N integers, one of the integers occurs twice in the array, and one of the integers is missing. You need to determine the repeating and the missing integer.

Example:

Let the array be [1, 2, 3, 4, 4, 5]. In the given array ‘4’ occurs twice and the number ‘6’ is missing.

Ninja loves doing maths problems. His friend has asked him to construct an array (0-indexed) of positive integers of size ‘N’ such that.

1. The sum of all elements of the array should not be more than ‘L’.
2. The absolute difference between any adjacent pair of indices in the array should not be more than 1. 
3. The value at the K'th index of the array should be maximized.

Given the size of the array ‘N’, the maximum sum of the constructed array ‘L’, and the index 'K’, your task is to find the maximum possible value at the ‘K'th’ index of the constructed array.

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