## I. Data Structure Interview Questions

### 1. Linked List

No. 10 - K-th Node from EndGet the K

^{th }node from end of a linked list. It counts from 1 here, so the 1

^{st}node from end is the tail of list.

No. 18 - Reverse a Linked List

Implement a function to reverse a linked list, and return the head of the reversed list.

No. 29 - Loop in List

How to check whether there is a loop in a linked list? If there is a loop in a linked list, how to get the entry node of the loop?

No. 40 - Add on Lists

Nodes in a list represent a number. Please implement a function/method to add numbers in two lists, and store the sum into a new list.

### 2. Binary Tree

No. 01 - Binary Search Tree and Double-linked ListConvert a binary search tree to a sorted double-linked list. We can only change the target of pointers, but cannot create any new nodes.

No. 04 - Paths with Specified Sum in Binary Tree

All nodes along children pointers from root to leaf nodes form a path in a binary tree. Given a binary tree and a number, please print out all of paths where the sum of all nodes value is same as the given number.

No. 06 - Post-order Traversal Sequences of Binary Search Trees

Determine whether an input array is a post-order traversal sequence of a binary tree or not. If it is, return true; otherwise return false. Assume all numbers in an input array are unique.

No. 31 - Binary Search Tree Verification

How to verify whether a binary tree is a binary search tree?

No. 45 - Closest Node in a Binary Search Tree

Given a binary search tree and a value

*k*, please find a node in the binary search tree whose value is closest to

*k*.

Given a binary search tree, please check whether there are two nodes in it whose sum equals a given value.

### 3. String

No. 07 - Reverse words in a sentenceReverse the order of words in a sentence, but keep words themselves unchanged. Words in a sentence are divided by blanks. For instance, the reversed output should be “student. a am I” when the input is “I am a student”.

No. 13 - First Character Appearing Only Once

Implement a function to find the first character in a string which only appears once.

For example: It returns ‘b’ when the input is “abaccdeff”.

No. 19 - Left Rotation of String

Left rotation of a string is to move some leading characters to its tail. Please implement a function to rotate a string. For example, if the input string is “abcdefg” and a number 2, the rotated result is “cdefgab”.

No. 43 - Minimal Number of Palindromes on a String

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”.

No. 55 - Translating Numbers to Strings

Given a number, please translate it to a string, following the rules: 1 is translated to 'a', 2 to 'b', …, 12 to 'l', …, 26 to 'z'. For example, the number 12258 can be translated to "abbeh", "aveh", "abyh", "lbeh" and "lyh", so there are 5 different ways to translate 12258. How to write a function/method to count the different ways to translate a number?

### 4. Array and Matrix

No. 22 - Turning Number in an ArrayTurning number is the maximum number in an array which increases and then decreases. This kind of array is also named unimodal array. Please write a function which gets the index of the turning number in such an array.

For example, the turning number in array {1, 2, 3, 4, 5, 10, 9, 8, 7, 6} is 10, so its index 5 is the expected output.

Please implement a function which gets the intersection of two sorted arrays. Assuming numbers in each array are unique.

No. 34 - String Path in Matrix 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.

No. 41 - Group of 1s in a Matrix

Given a matrix with 1s and 0s, please find the number of groups of 1s. A group is defined by horizontally or vertically adjacent 1s.

No. 56 - Maximal Value of Gifts

A board has

*n**

*m*cells, and there is a gift with some value (value is greater than 0) in every cell. You can get gifts starting from the top-left cell, and move right or down in each step, and finally reach the cell at the bottom-right cell. What’s the maximal value of gifts you can get from the board?

### 5. Stack and Queue

Define a stack, in which we can get its minimum number with a function min. In this stack, the time complexity of min(), push() and pop() are all O(1).

Implement a queue with two stacks. Please implement two functions: appendTail to append an element into tail of a queue, and deleteHead to delete an element from head of a queue.

Given two integer sequences, one of which is the push sequence of a stack, please check whether the other sequence is a corresponding pop sequence or not.

For example, if 1, 2, 3, 4, 5 is a push sequence, 4, 5, 3, 2, 1 is a corresponding pop sequence, but the sequence 4, 3, 5, 1, 2 is not.

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

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?## II. Algorithm Interview Questions

1. Dynamic ProgrammingNo. 03 - Maximum Sum of All Sub-arrays

A sub-array has one number of some continuous numbers. Given an integer array with positive numbers and negative numbers, get the maximum sum of all sub-arrays. Time complexity should be O(n).

For example, in the array {1, -2, 3, 10, -4, 7, 2, -5}, its sub-array {3, 10, -4, 7, 2} has the maximum sum 18.

Given an unsorted array, find the max length of subsequence in which the numbers are in incremental order.

For example: If the input array is {7, 2, 3, 1, 5, 8, 9, 6}, a subsequence with the most numbers in incremental order is {2, 3, 5, 8, 9} and the expected output is 5.

For example: If the input array is {7, 2, 3, 1, 5, 8, 9, 6}, a subsequence with the most numbers in incremental order is {2, 3, 5, 8, 9} and the expected output is 5.

Implement a function which gets the edit distance of two input strings. There are three types of edit operations: insertion, deletion and substitution. Edit distance is the minimal number of edit operations to modify a string from one to the other.

Please implement a function which gets the minimal number of coins, whose value is v

_{1}, v_{2}, …, v_{n}, to make change for an amount of money with value t. Any coin with value v_{i}may duplicate for any times to make change.
For example, the minimal number of coins to make change for 15 out of a set of coins with value 1, 3, 9, 10 is 3. We can choose two coins with value 3 and a coin with value 9. The number of coins for other choices should be greater than 3.

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. 49 - Longest Substring without Duplication

Given a string, please get the length of the longest substring which does not have duplicated characters. Supposing all characters in the string are in the range from ‘a’ to ‘z’.

No. 52 - Maximal Product when Cutting Rope

Given a rope with length

No. 56 - Maximal Value of Gifts

Given a string, please get the length of the longest substring which does not have duplicated characters. Supposing all characters in the string are in the range from ‘a’ to ‘z’.

No. 52 - Maximal Product when Cutting Rope

Given a rope with length

*n*, how to cut the rope into*m*parts with length*n*[0],*n*[1], ...,*n*[*m*-1], in order to get the maximal product of*n*[0]**n*[1]* ... **n*[*m*-1]? We have to cut once at least. Additionally, the length of the whole length of the rope, as well as the length of each part, are in integer value.No. 56 - Maximal Value of Gifts

A board has

*n***m*cells, and there is a gift with some value (value is greater than 0) in every cell. You can get gifts starting from the top-left cell, and move right or down in each step, and finally reach the cell at the bottom-right cell. What’s the maximal value of gifts you can get from the board?### 2. Search and Sort

No. 22 - Turning Number in an Array

Turning number is the maximum number in an array which increases and then decreases. This kind of array is also named unimodal array. Please write a function which gets the index of the turning number in such an array.

Turning number is the maximum number in an array which increases and then decreases. This kind of array is also named unimodal array. Please write a function which gets the index of the turning number in such an array.

For example, the turning number in array {1, 2, 3, 4, 5, 10, 9, 8, 7, 6} is 10, so its index 5 is the expected output.

No. 47 - Search in a Rotation of an Array

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.

For example, array {3, 4, 5, 1, 2} is a rotation of array {1, 2, 3, 4, 5}. If the target number to be searched is 4, the index of the number 4 in the rotation 1 should be returned. If the target number to be searched is 6, -1 should be returned because the number does not exist in the rotated array.

No. 57 - Integer Identical to Index

For example, array {3, 4, 5, 1, 2} is a rotation of array {1, 2, 3, 4, 5}. If the target number to be searched is 4, the index of the number 4 in the rotation 1 should be returned. If the target number to be searched is 6, -1 should be returned because the number does not exist in the rotated array.

No. 57 - Integer Identical to Index

Integers in an array are unique and increasingly sorted. Please write a function/method to find an integer from the array who equals to its index. For example, in the array {-3, -1, 1, 3, 5}, the number 3 equals its index 3.

### 3. Backtracking

No. 34 - String Path in MatrixHow 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.

No. 41 - Group of 1s in a Matrix

Given a matrix with 1s and 0s, please find the number of groups of 1s. A group is defined by horizontally or vertically adjacent 1s.

### 4. Bit Operation

No. 20 - Number of 1 in a BinaryPlease implement a function to get the number of 1s in an integer. For example, the integer 9 is 1001 in binary, so it returns 2 since there are two bits of 1s.

No. 50 - Numbers Appearing Once

In an array, all numbers appear three times except one which only appears only once. Please find the unique number.

No. 51 - Next Number with Same Set of Digits

Given a number

*n*, please out put all numbers with

*n*bits of 1 in increasing order. For example, if the input is 3, the output are numbers 7, 11, 13, …

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