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chore(lab): add new exercises
* chore(lab): critial routers exercise * solve the problem but with repetitions * 🔧 chore (lab): solve the problem * --wip-- [skip ci] * --wip-- [skip ci] * feat(lab): integer to words * feat(lab): improve algo to cover corner cases * chore(lab): alien dictionary exercise * chore(lab): sum exercises added * new exercise * using dijkstra algorithm * new exercises * update exercises * new exercise * solution * 🔧 chore eslint
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31 changes: 31 additions & 0 deletions
lab/exercises/10-mixed/2sum-1.js
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/** | ||
* Given a SORTED array and a target, return the indices of the 2 number that sum up target | ||
* | ||
* @param {number[]} nums | ||
* @param {numer} target | ||
* @returns | ||
* | ||
* @runtime O(n) | ||
*/ | ||
function twoSum(nums, target) { | ||
const len = nums.length - 1; | ||
let lo = 0; | ||
let hi = len; | ||
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while (lo < hi && hi > 0 && lo < len) { | ||
const sum = nums[lo] + nums[hi]; | ||
if (sum === target) { | ||
return [lo, hi]; | ||
} | ||
if (sum > target) { | ||
hi--; | ||
} else { | ||
lo++; | ||
} | ||
} | ||
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return []; | ||
} | ||
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module.exports = twoSum; |
25 changes: 25 additions & 0 deletions
lab/exercises/10-mixed/2sum.js
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/** | ||
* Given an array and a target, return the indices of the 2 number that sum up target | ||
* | ||
* @param {number[]} nums | ||
* @param {numer} target | ||
* @returns | ||
* | ||
* @runtime O(n) | ||
*/ | ||
function twoSum(nums, target) { | ||
const map = new Map(); | ||
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for (let i = 0; i < nums.length; i++) { | ||
const diff = target - nums[i]; | ||
if (map.has(diff)) { | ||
return [map.get(diff), i]; | ||
} | ||
map.set(nums[i], i); | ||
} | ||
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return []; | ||
} | ||
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module.exports = twoSum; |
23 changes: 23 additions & 0 deletions
lab/exercises/10-mixed/2sum.spec.js
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const fn = require('./2sum'); | ||
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describe('2 sum', () => { | ||
it('should work', () => { | ||
expect(fn([-1, 0, 1], 0)).toEqual(expect.arrayContaining([0, 2])); | ||
}); | ||
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it('should work', () => { | ||
expect(fn([2, 7, 11, 15], 9)).toEqual([0, 1]); | ||
}); | ||
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it('should work', () => { | ||
expect(fn([2, 7, 11, 15], 18)).toEqual([1, 2]); | ||
}); | ||
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it('should be empty', () => { | ||
expect(fn([2, 7, 11, 15], 1)).toEqual([]); | ||
}); | ||
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it('should should work with non-sorted', () => { | ||
expect(fn([3, 2, 4], 6)).toEqual([1, 2]); | ||
}); | ||
}); |
29 changes: 29 additions & 0 deletions
lab/exercises/10-mixed/3sum-1.js
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/** | ||
* @param {number[]} nums | ||
* @return {number[][]} | ||
* | ||
* @runtime O(n^3) | ||
*/ | ||
function threeSum(nums) { | ||
const ans = new Set(); | ||
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for (let i = 0; i < nums.length; i++) { | ||
for (let j = i + 1; j < nums.length; j++) { | ||
for (let k = j + 1; k < nums.length; k++) { | ||
if (nums[i] + nums[j] + nums[k] === 0) { | ||
ans.add(JSON.stringify([nums[i], nums[j], nums[k]].sort())); | ||
} | ||
} | ||
} | ||
} | ||
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return Array.from(ans).map((s) => JSON.parse(s)); | ||
} | ||
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module.exports = threeSum; | ||
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// Given an array find the unique triplets elements that sum zero. | ||
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// Brute force: O(n^3) | ||
// Using twoSum: O(n^2) | ||
// |
47 changes: 47 additions & 0 deletions
lab/exercises/10-mixed/3sum-2.js
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/** | ||
* @param {number[]} nums | ||
* @return {number[][]} | ||
* | ||
* @runtime O(n^2) | ||
* @space O(n) | ||
*/ | ||
const threeSum = function (nums) { | ||
const array = nums.reduce((acc, n, i) => { // O(n^2) | ||
if (i > nums.length - 2) return acc; | ||
const partial = twoSum(nums, -n, i + 1); | ||
const res = partial.map((p) => [n, ...p]); | ||
// console.log({i, n, partial, res, acc}) | ||
return acc.concat(res); | ||
}, []); | ||
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// remove dups | ||
const set = array.reduce((acc, n) => { | ||
const str = n.sort((a, b) => a - b).toString(); | ||
return acc.add(str); | ||
}, new Set()); | ||
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// convert to array of nums | ||
return [...set].map((a) => a.split(',').map((n) => +n)); | ||
}; | ||
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function twoSum(nums, target, start) { // O(n) | ||
const ans = []; | ||
const map = new Map(); | ||
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for (let i = start; i < nums.length; i++) { | ||
if (map.has(target - nums[i])) { | ||
ans.push([target - nums[i], nums[i]]); | ||
} | ||
map.set(nums[i], i); | ||
} | ||
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return ans; | ||
} | ||
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module.exports = threeSum; | ||
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// Given an array find the unique triplets elements that sum zero. | ||
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// Brute force: O(n^3) | ||
// Using twoSum: O(n^2) | ||
// |
47 changes: 47 additions & 0 deletions
lab/exercises/10-mixed/3sum.js
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/** | ||
* @param {number[]} nums | ||
* @return {number[][]} | ||
* | ||
* @runtime O(n^2) and skips duplicates | ||
* @space O(1) | ||
*/ | ||
function threeSum(nums) { | ||
const ans = []; | ||
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nums.sort((a, b) => a - b); // sort: O(n log n) | ||
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for (let i = 0; i < nums.length - 2; i++) { // O(n^2) | ||
if (i > 0 && nums[i - 1] === nums[i]) continue; // skip duplicates | ||
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let lo = i + 1; | ||
let hi = nums.length - 1; | ||
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while (lo < hi) { | ||
const sum = nums[i] + nums[lo] + nums[hi]; | ||
if (sum === 0) { | ||
ans.push([nums[i], nums[lo], nums[hi]]); | ||
// console.log([nums[i], nums[lo], nums[hi]]); | ||
lo++; | ||
hi--; | ||
while (lo < hi && nums[lo - 1] === nums[lo]) lo++; // skip duplicates | ||
while (lo < hi && nums[hi + 1] === nums[hi]) hi--; // skip duplicates | ||
} else if (sum < 0) { | ||
lo++; | ||
while (lo < hi && nums[lo - 1] === nums[lo]) lo++; // skip duplicates | ||
} else { | ||
hi--; | ||
while (lo < hi && nums[hi + 1] === nums[hi]) hi--; // skip duplicates | ||
} | ||
} | ||
} | ||
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return ans; | ||
} | ||
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module.exports = threeSum; | ||
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// Given an array find the unique triplets elements that sum zero. | ||
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// Brute force: O(n^3) | ||
// Using twoSum: O(n^2) | ||
// |
44 changes: 44 additions & 0 deletions
lab/exercises/10-mixed/3sum.spec.js
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const fn = require('./3sum'); | ||
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describe('3 Sum', () => { | ||
it('should work', () => { | ||
expect(fn([-1, 0, 1, 2, -1, 4])).toEqual(expect.arrayContaining([ | ||
expect.arrayContaining([-1, 0, 1]), | ||
expect.arrayContaining([-1, 2, -1]), | ||
])); | ||
}); | ||
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it('should work', () => { | ||
const actual = fn([-2, 0, 1, 1, 2]); | ||
expect(actual.length).toEqual(2); | ||
expect(actual).toEqual(expect.arrayContaining([ | ||
expect.arrayContaining([-2, 0, 2]), | ||
expect.arrayContaining([-2, 1, 1]), | ||
])); | ||
}); | ||
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it('should work', () => { | ||
const actual = fn([-2, -4, -2, -2, 0, 1, 2, 2, 2, 3, 3, 4, 4, 6, 6]); | ||
expect(actual.length).toEqual(6); | ||
expect(actual).toEqual(expect.arrayContaining([ | ||
expect.arrayContaining([-4, -2, 6]), | ||
expect.arrayContaining([-4, 0, 4]), | ||
expect.arrayContaining([-4, 1, 3]), | ||
expect.arrayContaining([-4, 2, 2]), | ||
expect.arrayContaining([-2, -2, 4]), | ||
expect.arrayContaining([-2, 0, 2]), | ||
])); | ||
}); | ||
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it('should work with many zeros', () => { | ||
const actual = fn(Array(5).fill(0)); | ||
expect(actual.length).toEqual(1); | ||
expect(JSON.stringify(actual)).toEqual('[[0,0,0]]'); // jest negative zero workaround | ||
}); | ||
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it('should work with large arrays', () => { | ||
const actual = fn(Array(3000).fill(0)); | ||
expect(actual.length).toEqual(1); | ||
expect(JSON.stringify(actual)).toEqual('[[0,0,0]]'); | ||
}); | ||
}); |
109 changes: 109 additions & 0 deletions
lab/exercises/10-mixed/alien-dictionary.js
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/** | ||
* Add nodes and edges into a graph using adjacency list | ||
* | ||
* @class Graph | ||
*/ | ||
class Graph { | ||
constructor() { | ||
this.nodes = new Map(); | ||
} | ||
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// add node or directed edge | ||
add(node1, node2) { | ||
// console.log({node1, node2}) | ||
const adj = this.nodes.has(node1) ? this.nodes.get(node1) : new Set(); | ||
if (node2) adj.add(node2); | ||
this.nodes.set(node1, adj); | ||
} | ||
} | ||
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/** | ||
* DFS + tarjan for loop detection | ||
* | ||
* @param {Graph} g | ||
* @param {Map} node | ||
* @param {Set} set | ||
* @param {Map} [parent=null] | ||
* @param {Map} [grouping=new Map()] | ||
* @param {number} [depth=0] | ||
* @returns {boolean} true if has a loop, false otherwise | ||
*/ | ||
function hasLoopOrAddToSet(g, node, set, parent = null, grouping = new Map(), depth = 0) { | ||
if (set.has(node)) set.delete(node); | ||
set.add(node); | ||
grouping.set(node, depth); | ||
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// console.log({node, adjs: g.nodes.get(node)}); | ||
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for (const adj of g.nodes.get(node)) { | ||
// if (adj === parent) continue; // only for indirected graph | ||
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if (!grouping.has(adj)) { | ||
if (hasLoopOrAddToSet(g, adj, set, node, grouping, depth + 1)) return true; | ||
} | ||
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const minGroup = Math.min(grouping.get(adj), grouping.get(node)); | ||
grouping.set(node, minGroup); | ||
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if (grouping.get(adj) === grouping.get(node)) return true; | ||
} | ||
} | ||
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/** | ||
* Find the order of the alien alphabet given a list of words on lexicographical order. | ||
* | ||
* @param {string[]} words | ||
* @return {string} The alien alphabet order. | ||
*/ | ||
function alienOrder(words) { | ||
const g = new Graph(); | ||
if (!words || words.length < 2) return words && words.join(''); | ||
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for (let i = 1; i < words.length; i++) { // O(n) * O(k) | ||
const w1 = words[i - 1]; | ||
const w2 = words[i]; | ||
let j = 0; | ||
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while (j < w1.length && j < w2.length && w1[j] === w2[j]) { // O(k), k = max word length | ||
g.add(w1[j++]); | ||
} | ||
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if (j === w2.length && w1.length > w2.length) { | ||
return ''; // shorter words should come first. | ||
} | ||
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if (w1[j]) g.add(w1[j], w2[j]); | ||
[...w1.slice(j)].forEach((n) => g.add(n)); | ||
[...w2.slice(j)].forEach((n) => g.add(n)); | ||
} | ||
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// console.log({ g: JSON.stringify(g) }); | ||
// console.log({ g: g.nodes }); | ||
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const set = new Set(); | ||
for (const [node] of g.nodes) { // O(?) | ||
if (hasLoopOrAddToSet(g, node, set)) { // DFS: O(E + V), V: total unique letters | ||
return ''; | ||
} | ||
} | ||
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return [...set].join(''); | ||
} | ||
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module.exports = alienOrder; | ||
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// Find the order of the alien alphabet given a list of words on lexicographical order. | ||
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// take words in pair, and build a dependency graph. | ||
// skip while w1.char === w2.char | ||
// add the first diff chars as a adj nodes | ||
// add each letter as a node in the graph. | ||
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// find the order of the alien alph | ||
// iterate over each node | ||
// dfs + tarjan to detect loops | ||
// add each visited node to a set | ||
// if there’s a loop return ‘’ | ||
// return set |
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