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Daily Coding Problem

This are solution to Daily Coding Problem.
Most of These problem are found on LeetCode with minor changes in Output/Input.
Solutions might not be the optimised one , but they passed all leetcode testcase within given time limit.

Problem 1

This problem was recently asked by Google.
Given a list of numbers and a number k, return whether any two numbers from the list add up to k.
For example, given [10, 15, 3, 7] and k of 17, return true since 10 + 7 is 17.
Bonus: Can you do this in one pass?

Click here for solution.

Click here to visit LeetCode for this question.


Problem 2

This problem was asked by Uber.
Given an array of integers, return a new array such that each element at index i of
the new array is the product of all the numbers in the original array except the one at i.
For example, if our input was [1, 2, 3, 4, 5], the expected output would be [120, 60, 40, 30, 24].
If our input was [3, 2, 1], the expected output would be [2, 3, 6].
Follow-up: what if you can't use division?

Click here for solution.

Click here to visit LeetCode for this question.


Problem 5

This problem was asked by Jane Street.
cons(a, b) constructs a pair, and car(pair) and cdr(pair) returns the first and last element of that pair. For example, car(cons(3, 4)) returns 3, and cdr(cons(3, 4)) returns 4.
Given this implementation of cons:
def cons(a, b):
def pair(f):
return f(a, b)
return pair
Implement car and cdr.

Click here for solution.


Problem 25

Implement regular expression matching with the following special characters:
. (period) which matches any single character
* (asterisk) which matches zero or more of the preceding element
That is, implement a function that takes in a string and a valid regular expression and
returns whether or not the string matches the regular expression.
For example, given the regular expression "ra." and the string "ray", your function should return true.
The same regular expression on the string "raymond" should return false.
Given the regular expression ".*at" and the string "chat", your function should return true.
The same regular expression on the string "chats" should return false.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 35

This problem was asked by Google.
Given an array of strictly the characters 'R', 'G', and 'B',
segregate the values of the array so that all the Rs come first, the Gs come second, and the Bs come last.
You can only swap elements of the array.
Do this in linear time and in-place.
For example, given the array ['G', 'B', 'R', 'R', 'B', 'R', 'G'],
it should become ['R', 'R', 'R', 'G', 'G', 'B', 'B'].

Click here for solution.

Click here to visit LeetCode for this question.


Problem 36

This problem was asked by Dropbox.
Given the root to a binary search tree, find the second largest node in the tree.

Click here for solution.

Click here to visit LeetCode for this question.

NOTE in the above question we have to find kth smallest number , so after a little bit of change we can also find k-th largest number and for this question k=2.


Problem 45

This problem was asked by Two Sigma.
Using a function rand7() that returns an integer from 1 to 7 (inclusive) with uniform probability, implement a function rand5() that returns an integer from 1 to 5 (inclusive).

Click here for solution.

Click here to visit LeetCode for this question.


Problem 64

This problem was asked by Google.
A knight's tour is a sequence of moves by a knight on a chessboard such that all squares are visited once.
Given N, write a function to return the number of knight's tours on an N by N chessboard.
My Testcase :
      input : 1 , Output : 1
      input : 2 , Output : 0 
      input : 3 , Output : 0
      input : 4 , Output : 0
      input : 5 , Output : 1728 (it took 23 seconds) 

Click here for solution.


Problem 65

This problem was asked by Amazon.
Given a N by M matrix of numbers, print out the matrix in a clockwise spiral.
For example, given the following matrix:
         [[1,  2,  3,  4,  5],
         [6,  7,  8,  9,  10],
         [11, 12, 13, 14, 15],
         [16, 17, 18, 19, 20]]
You should print out the following:
      1
      2
      3
      4
      5
      10
      15
      20
      19
      18
      17
      16
      11
      6
      7
      8
      9
      14
      13
      12

Click here for solution.


Problem 68

This problem was asked by Google.
On our special chessboard, two bishops attack each other if they share the same diagonal. This includes bishops that have another bishop located between them, i.e. bishops can attack through pieces.
You are given N bishops, represented as (row, column) tuples on a M by M chessboard. Write a function to count the number of pairs of bishops that attack each other. The ordering of the pair doesn't matter: (1, 2) is considered the same as (2, 1).
For example, given M = 5 and the list of bishops:
         (0, 0)
         (1, 2)
         (2, 2)
         (4, 0)
The board would look like this:
        [b 0 0 0 0]
        [0 0 b 0 0]
        [0 0 b 0 0]
        [0 0 0 0 0]
        [b 0 0 0 0]
You should return 2, since bishops 1 and 3 attack each other, as well as bishops 3 and 4.

Click here for solution.


Problem 69

This problem was asked by Facebook.
Given a list of integers, return the largest product that can be made by multiplying any three integers.
For example, if the list is [-10, -10, 5, 2], we should return 500, since that's -10 * -10 * 5.
You can assume the list has at least three integers.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 70

This problem was asked by Microsoft.
A number is considered perfect if its digits sum up to exactly 10.
Given a positive integer n, return the n-th perfect number.
For example, given 1, you should return 19. Given 2, you should return 28.

Click here for solution.


Problem 71

This problem was asked by Two Sigma.
Using a function rand7() that returns an integer from 1 to 7 (inclusive) with uniform probability, implement a function rand5() that returns an integer from 1 to 5 (inclusive).

Click here for solution.

Click here to visit LeetCode for this question.


Problem 72

This problem was asked by Google.
In a directed graph, each node is assigned an uppercase letter. We define a path's value as the number of most frequently-occurring letter along that path. For example, if a path in the graph goes through "ABACA", the value of the path is 3, since there are 3 occurrences of 'A' on the path.
Given a graph with n nodes and m directed edges, return the largest value path of the graph. If the largest value is infinite, then return null.
The graph is represented with a string and an edge list. The i-th character represents the uppercase letter of the i-th node. Each tuple in the edge list (i, j) means there is a directed edge from the i-th node to the j-th node. Self-edges are possible, as well as multi-edges.
For example, the following input graph:
        ABACA
      [ (0, 1),
        (0, 2),
        (2, 3),
        (3, 4)  ]
Would have maximum value 3 using the path of vertices [0, 2, 3, 4], (A, A, C, A).
The following input graph:
        A
    [ (0, 0) ]
Should return null, since we have an infinite loop.

Click here for solution.


Problem 73

This problem was asked by Google.
Given the head of a singly linked list, reverse it in-place.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 74

This problem was asked by Apple.
Suppose you have a multiplication table that is N by N. That is, a 2D array where the value at the i-th row and j-th column is (i + 1) * (j + 1) (if 0-indexed) or i * j (if 1-indexed).
Given integers N and X, write a function that returns the number of times X appears as a value in an N by N multiplication table.
For example, given N = 6 and X = 12, you should return 4, since the multiplication table looks like this:
1 2 3 4 5 6
2 4 6 8 10 12
3 6 9 12 15 18
4 8 12 16 20 24
5 10 15 20 25 30
6 12 18 24 30 36
And there are 4 12's in the table.

Click here for solution.


Problem 75

This problem was asked by Microsoft.
Given an array of numbers, find the length of the longest increasing subsequence in the array. The subsequence does not necessarily have to be contiguous.
For example, given the array [0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15], the longest increasing subsequence has length 6: it is 0, 2, 6, 9, 11, 15.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 76

This problem was asked by Google.
You are given an N by M 2D matrix of lowercase letters. Determine the minimum number of columns that can be removed to ensure that each row is ordered from top to bottom lexicographically. That is, the letter at each column is lexicographically later as you go down each row. It does not matter whether each row itself is ordered lexicographically.
For example, given the following table:

cba daf ghi

This is not ordered because of the a in the center. We can remove the second column to make it ordered:

ca df gi

So your function should return 1, since we only needed to remove 1 column.
As another example, given the following table:

abcdef

Your function should return 0, since the rows are already ordered (there's only one row).
As another example, given the following table:

zyx wvu tsr

Your function should return 3, since we would need to remove all the columns to order it.

Click here for solution.


Problem 77

This problem was asked by Snapchat.
Given a list of possibly overlapping intervals, return a new list of intervals where all overlapping intervals have been merged.
The input list is not necessarily ordered in any way.
For example, given [(1, 3), (5, 8), (4, 10), (20, 25)], you should return [(1, 3), (4, 10), (20, 25)].

Click here for solution.

Click here to visit LeetCode for this question.


Problem 78

This problem was asked by Google.
Given k sorted singly linked lists, write a function to merge all the lists into one sorted singly linked list.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 79

This problem was asked by Facebook.
Given an array of integers, write a function to determine whether the array could become non-decreasing by modifying at most 1 element.
For example, given the array [10, 5, 7], you should return true, since we can modify the 10 into a 1 to make the array non-decreasing.
Given the array [10, 5, 1], you should return false, since we can't modify any one element to get a non-decreasing array.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 80

This problem was asked by Google.
Given the root of a binary tree, return a deepest node. For example, in the following tree, return d.
            a
           / \
          b   c
         /
        d

Click here for solution.

Click here to visit LeetCode for this question.


Problem 81

This problem was asked by Yelp.
Given a mapping of digits to letters (as in a phone number), and a digit string, return all possible letters the number could represent. You can assume each valid number in the mapping is a single digit.
For example if {“2”: [“a”, “b”, “c”], 3: [“d”, “e”, “f”], …} then “23” should return [“ad”, “ae”, “af”, “bd”, “be”, “bf”, “cd”, “ce”, “cf"].

Click here for solution.

Click here to visit LeetCode for this question.


Problem 82

This problem was asked Microsoft.
Using a read7() method that returns 7 characters from a file, implement readN(n) which reads n characters.
For example, given a file with the content “Hello world”, three read7() returns “Hello w”, “orld” and then “”.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 83

This problem was asked by Google.
Invert a binary tree.
For example, given the following tree:
          a
         / \
        b   c
       / \  /
      d   e f
should become:
        a
       / \
       c  b
       \  / \
        f e  d

Click here for solution.

Click here to visit LeetCode for this question.


Problem 84

This problem was asked by Amazon.
Given a matrix of 1s and 0s, return the number of "islands" in the matrix. A 1 represents land and 0 represents water, so an island is a group of 1s that are neighboring whose perimeter is surrounded by water.
For example, this matrix has 4 islands.
      0 0 1 1 0
      0 1 1 0 0
      0 0 0 0 0
      1 1 0 0 1
      1 1 0 0 1

Click here for solution.

Click here to visit LeetCode for this question.


Problem 85

This problem was asked by Facebook.
Given three 32-bit integers x, y, and b, return x if b is 1 and y if b is 0, using only mathematical or bit operations. You can assume b can only be 1 or 0.

Click here for solution.


Problem 86

This problem was asked by Google.
Given a string of parentheses, write a function to compute the minimum number of parentheses to be removed to make the string valid (i.e. each open parenthesis is eventually closed).
For example, given the string "()())()", you should return 1. Given the string ")(", you should return 2, since we must remove all of them.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 87

This problem was asked by Uber.
A rule looks like this:
A NE B
This means this means point A is located northeast of point B.
A SW C
means that point A is southwest of C.
Given a list of rules, check if the sum of the rules validate. For example:
      A N B
      B NE C
      C N A
does not validate, since A cannot be both north and south of C.
      A NW B
      A N B
is considered valid.

Click here for solution.


Problem 88

This question was asked by ContextLogic.
Implement division of two positive integers without using the division, multiplication, or modulus operators. Return the quotient as an integer, ignoring the remainder.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 89

This problem was asked by LinkedIn.
Determine whether a tree is a valid binary search tree.
A binary search tree is a tree with two children, left and right, and satisfies the constraint that the key in the left child must be less than or equal to the root and the key in the right child must be greater than or equal to the root.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 90

This question was asked by Google.
Given an integer n and a list of integers l, write a function that randomly generates a number from 0 to n-1 that isn't in l (uniform).

Click here for solution.


Problem 91

This problem was asked by Dropbox.
What does the below code snippet print out? How can we fix the anonymous functions to behave as we'd expect?
    functions = []
    for i in range(10):
        functions.append(lambda : i)

    for f in functions:
        print(f())

Click here for solution.


Problem 92

This problem was asked by Airbnb.
We're given a hashmap associating each courseId key with a list of courseIds values, which represents that the prerequisites of courseId are courseIds. Return a sorted ordering of courses such that we can finish all courses.
Return null if there is no such ordering.
For example, given
    {
        'CSC300': ['CSC100', 'CSC200'], 
        'CSC200': ['CSC100'], 
        'CSC100': []
    }
should return ['CSC100', 'CSC200', 'CSCS300'].

Click here for solution.

I didn't find any matching problem on LeetCode but you can try course schedule,course schedule II.


Problem 93

This problem was asked by Apple.
Given a tree, find the largest tree/subtree that is a BST.
Given a tree, return the size of the largest tree/subtree that is a BST.

Click here for solution.


Problem 94

This problem was asked by Google.
Given a binary tree of integers, find the maximum path sum between two nodes.
The path must go through at least one node, and does not need to go through the root.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 95

This problem was asked by Palantir.
Given a number represented by a list of digits, find the next greater permutation of a number, in terms of lexicographic ordering. If there is not greater permutation possible, return the permutation with the lowest value/ordering.
For example, the list [1,2,3] should return [1,3,2]. The list [1,3,2] should return [2,1,3]. The list [3,2,1] should return [1,2,3].
Can you perform the operation without allocating extra memory (disregarding the input memory)?

Click here for solution.

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Problem 96

This problem was asked by Microsoft.
Given a number in the form of a list of digits, return all possible permutations.
For example, given [1,2,3], return [[1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1]].

Click here for solution.

Click here to visit LeetCode for this question.


Problem 97

This problem was asked by Stripe.
Write a map implementation with a get function that lets you retrieve the value of a key at a particular time.
It should contain the following methods:
set(key, value, time): sets key to value for t = time.
get(key, time): gets the key at t = time.
The map should work like this. If we set a key at a particular time, it will maintain that value forever or until it gets set at a later time. In other words, when we get a key at a time, it should return the value that was set for that key set at the most recent time.
Consider the following examples:
    d.set(1, 1, 0) # set key 1 to value 1 at time 0
    d.set(1, 2, 2) # set key 1 to value 2 at time 2
    d.get(1, 1) # get key 1 at time 1 should be 1
    d.get(1, 3) # get key 1 at time 3 should be 2
    d.set(1, 1, 5) # set key 1 to value 1 at time 5
    d.get(1, 0) # get key 1 at time 0 should be null
    d.get(1, 10) # get key 1 at time 10 should be 1
    d.set(1, 1, 0) # set key 1 to value 1 at time 0
    d.set(1, 2, 0) # set key 1 to value 2 at time 0
    d.get(1, 0) # get key 1 at time 0 should be 2

Click here for solution.

Click here to visit LeetCode for this question.


Problem 98

This problem was asked by Coursera.
Given a 2D board of characters and a word, find if the word exists in the grid.
The word can be constructed from letters of sequentially adjacent cell, where "adjacent" cells are those horizontally or vertically neighboring. The same letter cell may not be used more than once.
For example, given the following board:
[
  ['A','B','C','E'],
  ['S','F','C','S'],
  ['A','D','E','E']
]
exists(board, "ABCCED") returns true,
exists(board, "SEE") returns true,
exists(board, "ABCB") returns false.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 99

This problem was asked by Microsoft.
Given an unsorted array of integers, find the length of the longest consecutive elements sequence.
For example, given [100, 4, 200, 1, 3, 2], the longest consecutive element sequence is [1, 2, 3, 4]. Return its length: 4.
Your algorithm should run in O(n) complexity.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 100

This problem was asked by Google.
You are in an infinite 2D grid where you can move in any of the 8 directions:

(x,y) to

        (x+1, y),
        (x - 1, y),
        (x, y+1),
        (x, y-1),
        (x-1, y-1),
        (x+1,y+1),
        (x-1,y+1),
        (x+1,y-1)
You are given a sequence of points and the order in which you need to cover the points. Give the minimum number of steps in which you can achieve it. You start from the first point.
Example:
Input: [(0, 0), (1, 1), (1, 2)]
Output: 2
It takes 1 step to move from (0, 0) to (1, 1). It takes one more step to move from (1, 1) to (1, 2).

Click here for solution.


Problem 101

This problem was asked by Alibaba.
Given an even number (greater than 2), return two prime numbers whose sum will be equal to the given number.
A solution will always exist. See Goldbach’s conjecture.
Example:
Input: 4
Output: 2 + 2 = 4
If there are more than one solution possible, return the lexicographically smaller solution.
If [a, b] is one solution with a <= b, and [c, d] is another solution with c <= d, then
[a, b] < [c, d]
If a < c OR a==c AND b < d.

Click here for solution.


Problem 102

This problem was asked by Lyft.
Given a list of integers and a number K, return which contiguous elements of the list sum to K.
For example, if the list is [1, 2, 3, 4, 5] and K is 9, then it should return [2, 3, 4], since 2 + 3 + 4 = 9.

Click here for solution.


Problem 103

This problem was asked by Square.
Given a string and a set of characters, return the shortest substring containing all the characters in the set.
For example, given the string "figehaeci" and the set of characters {a, e, i}, you should return "aeci".
If there is no substring containing all the characters in the set, return null.

Click here for solution.


Problem 104

This problem was asked by Google.
Determine whether a doubly linked list is a palindrome. What if it’s singly linked?
For example, 1 -> 4 -> 3 -> 4 -> 1 returns True while 1 -> 4 returns False.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 105

This problem was asked by Facebook.
Given a function f, and N return a debounced f of N milliseconds.
That is, as long as the debounced f continues to be invoked, f itself will not be called for N milliseconds.

Click here for solution.


Problem 106

This problem was asked by Pinterest.
Given an integer list where each number represents the number of hops you can make, determine whether you can reach to the last index starting at index 0.
For example, [2, 0, 1, 0] returns True while [1, 1, 0, 1] returns False.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 107

This problem was asked by Microsoft.
Print the nodes in a binary tree level-wise. For example, the following should print 1, 2, 3, 4, 5.
          1
         / \
        2   3
           / \
          4   5

Click here for solution.

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Problem 108

This problem was asked by Google.
Given two strings A and B, return whether or not A can be shifted some number of times to get B.
For example, if A is abcde and B is cdeab, return true. If A is abc and B is acb, return false.

Click here for solution.

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Problem 109

This problem was asked by Cisco.
Given an unsigned 8-bit integer, swap its even and odd bits. The 1st and 2nd bit should be swapped, the 3rd and 4th bit should be swapped, and so on.
For example, 10101010 should be 01010101.11100010 should be 11010001.
Bonus: Can you do this in one line?

Click here for solution.


Problem 110

This problem was asked by Facebook.
Given a binary tree, return all paths from the root to leaves.
For example, given the tree:
           1
          / \
         2   3
            / \
           4   5

Return [[1, 2], [1, 3, 4], [1, 3, 5]].

Click here for solution.

Click here to visit LeetCode for this question.


Problem 111

This problem was asked by Google.
Given a word W and a string S, find all starting indices in S which are anagrams of W.
For example, given that W is "ab", and S is "abxaba", return 0, 3, and 4.

Click here for solution.

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Problem 112

This problem was asked by Twitter.
Given a binary tree, find the lowest common ancestor (LCA) of two given nodes in the tree. Assume that each node in the tree also has a pointer to its parent.
According to the definition of LCA on Wikipedia: “The lowest common ancestor is defined between two nodes v and w as the lowest node in T that has both v and w as descendants (where we allow a node to be a descendant of itself).”

Click here for solution.

Click here to visit LeetCode for this question.


Problem 113

This problem was asked by Google.
Given a string of words delimited by spaces, reverse the words in string. For example, given "hello world here", return "here world hello"
Follow-up: given a mutable string representation, can you perform this operation in-place?

Click here for solution.

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Problem 214

This problem was asked by Stripe.
Given an integer n, return the length of the longest consecutive run of 1s in its binary representation.
For example, given 156, you should return 3.

Click here for solution.

Click here to visit LeetCode for this question.


Problem 242

You are given an array of length 24, where each element represents the number of new subscribers during the corresponding hour. Implement a data structure that efficiently supports the following:
update(hour: int, value: int): Increment the element at index hour by value.
query(start: int, end: int): Retrieve the number of subscribers that have signed up between start and end (inclusive).
You can assume that all values get cleared at the end of the day, and that you will not be asked for start and end values that wrap around midnight.

Click here for solution.


Problem 244

The Sieve of Eratosthenes is an algorithm used to generate all prime numbers smaller than N. The method is to take increasingly larger prime numbers, and mark their multiples as composite.
For example, to find all primes less than 100, we would first mark [4, 6, 8, ...] (multiples of two), then [6, 9, 12, ...] (multiples of three), and so on. Once we have done this for all primes less than N, the unmarked numbers that remain will be prime.
Implement this algorithm.
Bonus: Create a generator that produces primes indefinitely (that is, without taking N as an input).

Click here for solution.


Problem 255

This problem was asked by Microsoft.
The transitive closure of a graph is a measure of which vertices are reachable from other vertices. It can be represented as a matrix M, where M[i][j] == 1 if there is a path between vertices i and j, and otherwise 0.
For example, suppose we are given the following graph in adjacency list form:
      graph = [
          [0, 1, 3],
          [1, 2],
          [2],
          [3]
      ]
The transitive closure of this graph would be:
  [1, 1, 1, 1]
  [0, 1, 1, 0]
  [0, 0, 1, 0]
  [0, 0, 0, 1]
Given a graph, find its transitive closure.

Click here for solution.


Problem 256

This problem was asked by Fitbit.
Given a linked list, rearrange the node values such that they appear in alternating low -> high -> low -> high ... form. For example, given 1 -> 2 -> 3 -> 4 -> 5, you should return 1 -> 3 -> 2 -> 5 -> 4.

Click here for solution.


Problem 257

This problem was asked by WhatsApp.
Given an array of integers out of order, determine the bounds of the smallest window that must be sorted in order for the entire array to be sorted. For example, given [3, 7, 5, 6, 9], you should return (1, 3).

Click here for solution.


Problem 258

This problem was asked by Morgan Stanley.
In Ancient Greece, it was common to write text with the first line going left to right, the second line going right to left, and continuing to go back and forth. This style was called "boustrophedon".
Given a binary tree, write an algorithm to print the nodes in boustrophedon order.
For example, given the following tree:
           1
        /     \
      2         3
     / \       / \
    4   5     6   7
You should return [1, 3, 2, 4, 5, 6, 7].

Click here for solution.


Problem 259

This problem was asked by Two Sigma.
Ghost is a two-person word game where players alternate appending letters to a word. The first person who spells out a word, or creates a prefix for which there is no possible continuation, loses. Here is a sample game:
* Player 1: g
* Player 2: h
* Player 1: o
* Player 2: s
* Player 1: t [loses]
Given a dictionary of words, determine the letters the first player should start with, such that with optimal play they cannot lose.
For example, if the dictionary is ["cat", "calf", "dog", "bear"], the only winning start letter would be b.

Click here for solution.


Problem 260

This problem was asked by Pinterest.
The sequence [0, 1, ..., N] has been jumbled, and the only clue you have for its order is an array representing whether each number is larger or smaller than the last. Given this information, reconstruct an array that is consistent with it. For example, given [None, +, +, -, +], you could return [1, 2, 3, 0, 4].

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Problem 261

This problem was asked by Amazon.
Huffman coding is a method of encoding characters based on their frequency. Each letter is assigned a variable-length binary string, such as 0101 or 111110, where shorter lengths correspond to more common letters. To accomplish this, a binary tree is built such that the path from the root to any leaf uniquely maps to a character. When traversing the path, descending to a left child corresponds to a 0 in the prefix, while descending right corresponds to 1.
Here is an example tree (note that only the leaf nodes have letters):
              *
            /   \
          *       *
         / \     / \
        *   a   t   *
       /             \
      c               s
With this encoding, cats would be represented as 0000110111.
Given a dictionary of character frequencies, build a Huffman tree, and use it to determine a mapping between characters and their encoded binary strings.

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Problem 262

This problem was asked by Mozilla.
A bridge in a connected (undirected) graph is an edge that, if removed, causes the graph to become disconnected. Find all the bridges in a graph.

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Problem 263

This problem was asked by Nest.
Create a basic sentence checker that takes in a stream of characters and determines whether they form valid sentences. If a sentence is valid, the program should print it out.
We can consider a sentence valid if it conforms to the following rules:
1. The sentence must start with a capital letter, followed by a lowercase letter or a space.
2. All other characters must be lowercase letters, separators (,,;,:) or terminal marks (.,?,!,).
3. There must be a single space between each word.
4. The sentence must end with a terminal mark immediately following a word.

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Problem 265

This problem was asked by Atlassian.
MegaCorp wants to give bonuses to its employees based on how many lines of codes they have written. They would like to give the smallest positive amount to each worker consistent with the constraint that if a developer has written more lines of code than their neighbor, they should receive more money.
Given an array representing a line of seats of employees at MegaCorp, determine how much each one should get paid.
For example, given [10, 40, 200, 1000, 60, 30], you should return [1, 2, 3, 4, 2, 1].

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Problem 273

This problem was asked by Apple.
A fixed point in an array is an element whose value is equal to its index. Given a sorted array of distinct elements, return a fixed point, if one exists. Otherwise, return False.
For example, given [-6, 0, 2, 40], you should return 2. Given [1, 5, 7, 8], you should return False.

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Problem 362

This problem was asked by Twitter.
A strobogrammatic number is a positive number that appears the same after being rotated 180 degrees. For example, 16891 is strobogrammatic.
Create a program that finds all strobogrammatic numbers with N digits.

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Problem 547

This problem was asked by Salesforce.
Given an array of integers, find the maximum XOR of any two elements.

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Problem 558

This problem was asked by Google.
The area of a circle is defined as πr^2. Estimate π to 3 decimal places using a Monte Carlo method.
Hint: The basic equation of a circle is x^2 + y^2 = r^2.

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Problem 559

This problem was asked by Google.
Given k sorted singly linked lists, write a function to merge all the lists into one sorted singly linked list.

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Problem 560

This problem was recently asked by Google.
Given a list of numbers and a number k, return whether any two numbers from the list add up to k.
For example, given [10, 15, 3, 7] and k of 17, return true since 10 + 7 is 17.
Bonus: Can you do this in one pass?

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Problem 561

This problem was asked by Etsy.
Given a sorted array, convert it into a height-balanced binary search tree.

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Problem 562

This problem was asked by Uber.
Given an array of integers, return a new array such that each element at index i of
the new array is the product of all the numbers in the original array except the one at i.
For example, if our input was [1, 2, 3, 4, 5], the expected output would be [120, 60, 40, 30, 24].
If our input was [3, 2, 1], the expected output would be [2, 3, 6].
Follow-up: what if you can't use division?

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Problem 567

This problem was asked by Jane Street.
cons(a, b) constructs a pair, and car(pair) and cdr(pair) returns the first and last element of that pair. For example, car(cons(3, 4)) returns 3, and cdr(cons(3, 4)) returns 4.
Given this implementation of cons:
def cons(a, b):
def pair(f):
return f(a, b)
return pair
Implement car and cdr.

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Problem 568

This problem was asked by Google.
Given a sorted list of integers, square the elements and give the output in sorted order.
For example, given [-9, -2, 0, 2, 3], return [0, 4, 4, 9, 81].

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Problem 574

This problem was asked by Amazon.
Implement a bit array.
A bit array is a space efficient array that holds a value of 1 or 0 at each index.
init(size): initialize the array with size
set(i, val): updates index at i with val where val is either 1 or 0.
get(i): gets the value at index i.

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