Write a function fib(n) that takes in a number as an argument. The function should return the n-th number of the Fibonacci sequence. Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, ... and so on. Function fib(7) should return 13.
Say that you are a traveler on a 2D grid. You begin in the top-left corner and your goal is to travel to the bottom-right corner. You may only move down or right. In how many ways can you travel to the goal on a grid with dimensions m * n? Write a function gridTraveler(m, n) that calculates this. Function gridTraveler(2, 3) should return 3.
Write a function canSum(targetSum, numbers) that takes in a targetSum and an array of numbers as arguments. The function should return a boolean indicating whether or not it is possible to generate the targetSum using numbers from the array. You may assume that all input numbers are nonnegative. Function canSum(7, [2,3,4]) should return true.
Write a function howSum(targetSum, numbers) that takes in a targetSum and an array of numbers as arguments. The function should return an array containing any combination of elements that add up to exactly the targetSum. If there is no combination that adds up to the targetSum, then return null. If there are multiple combinations possible, you may return any single one. Function howSum(7, [5, 3, 4, 7)) should return [3,4] or [7].
Write a function bestSum(targetSum, numbers) that takes in a targetSum and an array of numbers as arguments. The function should return an array containing the shortest combination of numbers that add up to exactly the targetSum. If there is a tie for the shortest combination, you may return any one of the shortest. If there is no combination that adds up to the targetSum, then return null. Function bestSum(7, [5, 3, 4, 7)) should return [7].
Write a function canConstruct(target, wordBank) that accepts a target string and an array of strings. The function should return a boolean indicating whether or not the target can be constructed by concatenating elements of the wordBank array. You may reuse elements of wordBank as many times as needed. Function canConstruct(abcdef, [ab, abc, cd, def, abcd]) should return true.