diff --git a/.DS_Store b/.DS_Store new file mode 100644 index 000000000..add8e05d3 Binary files /dev/null and b/.DS_Store differ diff --git a/src/recursion.js b/src/recursion.js index 12ca0a3d7..7d5bb202c 100644 --- a/src/recursion.js +++ b/src/recursion.js @@ -4,32 +4,86 @@ // denoted by n!, is the product of all positive integers less than or equal to n. // Example: 5! = 5 x 4 x 3 x 2 x 1 = 120 // factorial(5); // 120 -var factorial = function(n) { +var factorial = function (n, sum = 1, i = n) { + if (n < 0) { return null; } + if (i === 0) { return sum; } + sum *= i; + i--; + return factorial(n - 1, sum); }; // 2. Compute the sum of an array of integers. // Example: sum([1, 2, 3, 4, 5, 6]); // 21 -var sum = function(array) { +var sum = function (array, total = 0, i = 0) { + if (i >= array.length) { + return total; + } + total += array[i]; + i++; + return sum(array, total, i); }; // 3. Sum all numbers in an array containing nested arrays. // Example: arraySum([1,[2,3],[[4]],5]); // 15 -var arraySum = function(array) { +var arraySum = function (array) { + }; // 4. Check if a number is even. -var isEven = function(n) { +var isEven = function (n, i = n) { + if (i - 2 === 0) { + return boolean = true; + } else if (i - 2 > 0) { + i -= 2; + boolean = false; + return isEven(n, i, boolean); + } else if (i + 2 === 0) { + return boolean = true; + } else if (i + 2 < 0) { + i += 2; + boolean = false; + return isEven(n, i, boolean); + } + return boolean; }; // 5. Sum all integers below a given integer. // sumBelow(10); // 45 // sumBelow(7); // 21 -var sumBelow = function(n) { +var sumBelow = function (n, sum = 0, i = n) { + if (n === 0) { return sum; } + if (n > 0) { + i = n - 1; + sum += i; + i--; + return sumBelow(n - 1, sum, i); + } else if (n < 0) { + i = n + 1; + sum += i; + i++; + return sumBelow(n + 1, sum, i); + } + return sum; }; // 6. Get the integers in range (x, y). // Example: range(2, 9); // [3, 4, 5, 6, 7, 8] -var range = function(x, y) { +var range = function (x, y, arr = []) { + if (x === y) { return arr; } + if (x > y) { + if (y !== x - 1) { + x--; + arr.push(x); + return range(x, y, arr); + } + return arr; 0. + } + if (x !== y - 1) { + x++; + arr.push(x); + return range(x, y, arr); + } + return arr; }; // 7. Compute the exponent of a number. @@ -37,40 +91,84 @@ var range = function(x, y) { // 8^2 = 8 x 8 = 64. Here, 8 is the base and 2 is the exponent. // Example: exponent(4,3); // 64 // https://www.khanacademy.org/computing/computer-science/algorithms/recursive-algorithms/a/computing-powers-of-a-number -var exponent = function(base, exp) { +var exponent = function (base, exp, i = exp, total = 1) { + if (exp === 0) { return 1; } + if (exp === 1) { return base; } + if (i === 0) { return total; } + if (i > 0) { + total *= base; + i--; + return exponent(base, exp, i, total); + } + if (i < 0) { + total /= base; + i++; + return exponent(base, exp, i, total); + } + return total; }; // 8. Determine if a number is a power of two. // powerOfTwo(1); // true // powerOfTwo(16); // true // powerOfTwo(10); // false -var powerOfTwo = function(n) { +var powerOfTwo = function (n, x = 1) { + if (x === n) { return true; } + if (x > n) { return false; } + if (x < n) { + x *= 2; + return powerOfTwo(n, x); + } }; // 9. Write a function that accepts a string a reverses it. -var reverse = function(string) { +var reverse = function (string) { + if (string === "") { return ""; } + else { + return reverse(string.substr(1)) + string.charAt(0); + } }; // 10. Write a function that determines if a string is a palindrome. -var palindrome = function(string) { -}; +var palindrome = function (string) { + if (string.length <= 1) { return true; } + if (string[0].toLowerCase() !== string[string.length - 1].toLowerCase()) { + return false; + } + string = string.substr(1, string.length - 2); + string = string.replace(' ', ''); + return palindrome(string); +} // 11. Write a function that returns the remainder of x divided by y without using the // modulo (%) operator. // modulo(5,2) // 1 // modulo(17,5) // 2 // modulo(22,6) // 4 -var modulo = function(x, y) { +var modulo = function (x, y) { }; // 12. Write a function that multiplies two numbers without using the * operator or // JavaScript's Math object. -var multiply = function(x, y) { +var multiply = function (x, y, i = y, total = 0) { + if (x === 0 || y === 0) { return 0; } + if (i === 0 && y > 0) { return total; } + if (i === 0 && y < 0) { return -total; } + if (y > 0) { + total += x; + i--; + return multiply(x, y, i, total); + } + if (y < 0) { + total += x; + i++; + return multiply(x, y, i, total); + } }; // 13. Write a function that divides two numbers without using the / operator or // JavaScript's Math object. -var divide = function(x, y) { +var divide = function (x, y) { }; // 14. Find the greatest common divisor (gcd) of two positive numbers. The GCD of two @@ -78,7 +176,7 @@ var divide = function(x, y) { // Example: gcd(4,36); // 4 // http://www.cse.wustl.edu/~kjg/cse131/Notes/Recursion/recursion.html // https://www.khanacademy.org/computing/computer-science/cryptography/modarithmetic/a/the-euclidean-algorithm -var gcd = function(x, y) { +var gcd = function (x, y) { }; // 15. Write a function that compares each character of two strings and returns true if @@ -86,52 +184,90 @@ var gcd = function(x, y) { // compareStr('house', 'houses') // false // compareStr('', '') // true // compareStr('tomato', 'tomato') // true -var compareStr = function(str1, str2) { +var compareStr = function (str1, str2, i = 0) { + if (i === str1.length && i === str2.length) { return true; } + if (str1.charAt(i) !== str2.charAt(i)) { + return false; + } else if (str1.charAt(i) === str2.charAt(i)) { + i++; + return compareStr(str1, str2, i); + } + return true; }; // 16. Write a function that accepts a string and creates an array where each letter // occupies an index of the array. -var createArray = function(str){ +var createArray = function (string, i = 0, array = []) { + if (i === string.length) { return array; } + if (string.charAt(i)) { + array.push(string.charAt(i)); + i++; + return createArray(string, i, array); + } + return array; }; // 17. Reverse the order of an array -var reverseArr = function (array) { +var reverseArr = function (array, i = array.length - 1, newArr = []) { + if (i === -1) { return newArr; } + if (i >= 0) { + newArr.push(array[i]); + i--; + return reverseArr(array, i, newArr); + } }; // 18. Create a new array with a given value and length. // buildList(0,5) // [0,0,0,0,0] // buildList(7,3) // [7,7,7] -var buildList = function(value, length) { +var buildList = function (value, length, i = 0, array = []) { + if (i === length) { return array; } + array.push(value); + i++; + return buildList(value, length, i, array); }; // 19. Count the occurence of a value inside a list. // countOccurrence([2,7,4,4,1,4], 4) // 3 // countOccurrence([2,'banana',4,4,1,'banana'], 'banana') // 2 -var countOccurrence = function(array, value) { +var countOccurrence = function (array, value, i = 0, x = 0) { + if (i === array.length) { return x; } + if (array[i] === value) { + i++; + x++; + return countOccurrence(array, value, i, x); + } else { + i++; + return countOccurrence(array, value, i, x); + } }; // 20. Write a recursive version of map. // rMap([1,2,3], timesTwo); // [2,4,6] -var rMap = function(array, callback) { +var rMap = function (array, callback, i = 0, newArr = []) { + if (i === array.length) { return newArr; } + newArr.push(callback(array[i])); + i++; + return rMap(array, callback, i, newArr); }; // 21. Write a function that counts the number of times a key occurs in an object. // var testobj = {'e': {'x':'y'}, 't':{'r': {'e':'r'}, 'p': {'y':'r'}},'y':'e'}; // countKeysInObj(testobj, 'r') // 1 // countKeysInObj(testobj, 'e') // 2 -var countKeysInObj = function(obj, key) { +var countKeysInObj = function (obj, key) { }; // 22. Write a function that counts the number of times a value occurs in an object. // var testobj = {'e': {'x':'y'}, 't':{'r': {'e':'r'}, 'p': {'y':'r'}},'y':'e'}; // countValuesInObj(testobj, 'r') // 2 // countValuesInObj(testobj, 'e') // 1 -var countValuesInObj = function(obj, value) { +var countValuesInObj = function (obj, value) { }; // 23. Find all keys in an object (and nested objects) by a provided name and rename // them to a provided new name while preserving the value stored at that key. -var replaceKeysInObj = function(obj, key, newKey) { +var replaceKeysInObj = function (obj, key, newKey) { }; // 24. Get the first n Fibonacci numbers. In the Fibonacci Sequence, each subsequent @@ -139,7 +275,7 @@ var replaceKeysInObj = function(obj, key, newKey) { // Example: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34..... // fibonacci(5); // [0, 1, 1, 2, 3, 5] // Note: The 0 is not counted. -var fibonacci = function(n) { +var fibonacci = function (n) { }; // 25. Return the Fibonacci number located at index n of the Fibonacci sequence. @@ -147,18 +283,31 @@ var fibonacci = function(n) { // nthFibo(5); // 5 // nthFibo(7); // 13 // nthFibo(3); // 2 -var nthFibo = function(n) { +var nthFibo = function (n, i = 0, array = [0, 1]) { + if (i === n) { return array[i]; } + if (n < 0) { return null; } + array.push(array[i] + array[i + 1]); + i++; + return nthFibo(n, i, array) }; // 26. Given an array of words, return a new array containing each word capitalized. // var words = ['i', 'am', 'learning', 'recursion']; // capitalizedWords(words); // ['I', 'AM', 'LEARNING', 'RECURSION'] -var capitalizeWords = function(input) { -}; +var capitalizeWords = function (input, array = [], i = 0) { + if (input.length === array.length) { return array; } + array.push(input[i].toUpperCase()); + i++; + return capitalizeWords(input, array, i); +} // 27. Given an array of strings, capitalize the first letter of each index. // capitalizeFirst(['car', 'poop', 'banana']); // ['Car', 'Poop', 'Banana'] -var capitalizeFirst = function(array) { +var capitalizeFirst = function (array, newArr = [], i = 0) { + if (array.length === newArr.length) { return newArr; } + newArr.push(array[i].charAt(0).toUpperCase() + array[i].slice(1)); + i++; + return capitalizeFirst(array, newArr, i); }; // 28. Return the sum of all even numbers in an object containing nested objects. @@ -170,69 +319,100 @@ var capitalizeFirst = function(array) { // e: {e: {e: 2}, ee: 'car'} // }; // nestedEvenSum(obj1); // 10 -var nestedEvenSum = function(obj) { +var nestedEvenSum = function (obj) { }; // 29. Flatten an array containing nested arrays. // Example: flatten([1,[2],[3,[[4]]],5]); // [1,2,3,4,5] -var flatten = function(arrays) { +var flatten = function (arrays) { }; // 30. Given a string, return an object containing tallies of each letter. // letterTally('potato'); // {'p':1, 'o':2, 't':2, 'a':1} -var letterTally = function(str, obj) { +var letterTally = function (str, obj = {}, tally = 0, i = 0) { + let letters = str.split(''); + let arrOfObjKeys = Object.keys(obj); + if (i === letters.length) { return obj; } + if (!obj[letters[i]]) { obj[letters[i]] = 1; } + else { + obj[letters[i]] += 1; + } + i++; + return letterTally(str, obj, tally, i); }; + // 31. Eliminate consecutive duplicates in a list. If the list contains repeated // elements they should be replaced with a single copy of the element. The order of the // elements should not be changed. // Example: compress([1, 2, 2, 3, 4, 4, 5, 5, 5]) // [1, 2, 3, 4, 5] // Example: compress([1, 2, 2, 3, 4, 4, 2, 5, 5, 5, 4, 4]) // [1, 2, 3, 4, 2, 5, 4] -var compress = function(list) { +var compress = function (list, arr = [], i = 0) { + if (i === list.length) { return arr; } + if (list[i] !== arr[arr.length - 1]) { arr.push(list[i]); } + i++; + return compress(list, arr, i); }; // 32. Augment every element in a list with a new value where each element is an array // itself. // Example: augmentElements([[],[3],[7]], 5); // [[5],[3,5],[7,5]] -var augmentElements = function(array, aug) { +var augmentElements = function (array, aug) { }; // 33. Reduce a series of zeroes to a single 0. // minimizeZeroes([2,0,0,0,1,4]) // [2,0,1,4] // minimizeZeroes([2,0,0,0,1,0,0,4]) // [2,0,1,0,4] -var minimizeZeroes = function(array) { +var minimizeZeroes = function(array, arr = [], i= 0, n =1) { + if(i === array.length){ + return arr; + } + if(array[i] !== array[n]){ + arr.push(array[i]); + } + i++; + n++; + return minimizeZeroes(array, arr, i , n) }; + // 34. Alternate the numbers in an array between positive and negative regardless of // their original sign. The first number in the index always needs to be positive. // alternateSign([2,7,8,3,1,4]) // [2,-7,8,-3,1,-4] // alternateSign([-2,-7,8,3,-1,4]) // [2,-7,8,-3,1,-4] -var alternateSign = function(array) { +var alternateSign = function (array, i = 0) { + i++; + var el = array[i]; + if (i === array.length) { return array; } + if (array[0] < 0) { array[0] *= -1; } + if (el > 0 && i % 2 === 1) { array[i] = array[i] * -1; } + if (el < 0 && i % 2 === 0) { array[i] *= -1; } + return alternateSign(array, i); }; // 35. Given a string, return a string with digits converted to their word equivalent. // Assume all numbers are single digits (less than 10). // numToText("I have 5 dogs and 6 ponies"); // "I have five dogs and six ponies" -var numToText = function(str) { +var numToText = function (str) { }; // *** EXTRA CREDIT *** // 36. Return the number of times a tag occurs in the DOM. -var tagCount = function(tag, node) { +var tagCount = function (tag, node) { }; // 37. Write a function for binary search. // Sample array: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15] // console.log(binarySearch(5)) will return '5' -var binarySearch = function(array, target, min, max) { +var binarySearch = function (array, target, min, max) { }; // 38. Write a merge sort function. // Sample array: [34,7,23,32,5,62] // Sample output: [5,7,23,32,34,62] -var mergeSort = function(array) { +var mergeSort = function (array) { };