Neuberger的这次OA有4道题，总体来说还是非常的难的

**Almost Sorted**

An aray of integers is almost sortedif at most one element can be deleted from it to make it perfectly sorted, ascending. For example, arays (2,171, [13), [9, 2) and [1, 5, 6)are almost sorted because they have 0or 1 elements out of place. The arrays (4, 2, 1) [1,2, 6, 4, 3)are not because theyhave more than one element out of place. Given an array of n unique integers, determine the minimum number of elements to remove so itbecomes almost sorted.

**Binary Manipulation**

Given an integer, store its binary representation bin as a string or an array with digits indexed from 0to length(bin)- 1. Reduce its binaryrepresentation to zero by using the following operations:

这题其实是leetcode 1611题的变种，难度较高。

- Avoiding Landmines

A robot is moving on a grid of size n*m. n one move, it moves one step right or one step down. Some cells of the grid have landmines, so the robothas to avoid them. The grid is aiven as an arrav ot size n*m, grid n ml, where grid nim = 0means that the e has a landmine. and eridnim = 1 meansthe cellis safe to step upon. Find the number of ways in which the robot can reach the bottom-ight most cel, gridln-1/m-1], starting from the top-leftmost cell, grid[0][0]. The number can be large, so return the value modulo (109+7)

- Coin Flipping Probability

Suppose a coin that has probability p of landing heads will be tossedrepeatedly.

The task is to find the probability of getting an even number of heads in thefirst n tosses.

The probability should be rounded to 8 decimal places.

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