Given an array, please determine whether it contains three numbers whose sum equals to 0.

Given an array and a value, how to implement a function to remove all instances of that value in place and return the new length? The order of elements can be changed. It doesn't matter what you leave beyond the new length.

Given an array of numbers and a sliding window size, how to get the maximal numbers in all sliding windows?

How to implement a function to check whether there is a path for a string in a matrix of characters? It moves to left, right, up and down in a matrix, and a cell for a movement. The path can start from any entry in a matrix. If a cell is occupied by a character of a string on the path, it cannot be occupied by another character again

Numbers are serialized increasingly into a sequence in the format of 0123456789101112131415..., which each digit occupies a position in the sequence. For instance, the digit in the position 5 is 5, in the position 13 is 1, in the position 19 is 4, and so on.
How can you implement n (n > 2) stacks in a single array, where no stack overflows until no space left in the entire array space?

A string can be partitioned into some substrings, such that each substring is a palindrome. For example, there are a few strategies to split the string “abbab” into palindrome substrings, such as: “abba”|”b”, “a”|”b”|”bab” and “a”|”bb”|”a”|”b”.
Given a string str, please get the minimal numbers of splits to partition it into palindromes. The minimal number of splits to partition the string “abbab” into a set of palindromes is 1.

There are n houses built in a line, each of which contains some value in it. A thief is going to steal the maximal value in these houses, but he cannot steal in two adjacent houses because the owner of a stolen house will tell his two neighbors on the left and right side. What is the maximal stolen value?

No. 47 - Search in a Rotation of an Array
When some elements at the beginning of an array are moved to the end, it gets a rotation of the original array. Please implement a function to search a number in a rotation of an increasingly sorted array. Assume there are no duplicated numbers in the array.

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