Jun 30, 2020 · Jun 30, 2020 · Jun 30, 2020 · Jun 30, 2020 · Jun 30, 2020 · Jun 30, 2020
diff --git a/benchmarks/array-rotation-implementations/01-array-rotation.js b/benchmarks/array-rotation-implementations/01-array-rotation.js
diff --git a/benchmarks/array-rotation-implementations/01a-array-rotation.js b/benchmarks/array-rotation-implementations/01a-array-rotation.js
diff --git a/benchmarks/array-rotation-implementations/02-array-rotation.js b/benchmarks/array-rotation-implementations/02-array-rotation.js
diff --git a/benchmarks/array-rotation-implementations/array-rotation.spec.js b/benchmarks/array-rotation-implementations/array-rotation.spec.js
diff --git a/benchmarks/two-sum-implementations/01a-two-sum.js b/benchmarks/two-sum-implementations/01a-two-sum.js
diff --git a/benchmarks/two-sum-implementations/02-two-sum.js b/benchmarks/two-sum-implementations/02-two-sum.js
diff --git a/benchmarks/two-sum-implementations/02a-two-sum.js b/benchmarks/two-sum-implementations/02a-two-sum.js
diff --git a/benchmarks/two-sum-implementations/04-two-sum.js b/benchmarks/two-sum-implementations/04-two-sum.js
diff --git a/benchmarks/two-sum-implementations/two-sum.spec.js b/benchmarks/two-sum-implementations/two-sum.spec.js
diff --git a/lab/exercises/10-mixed/check-prerequisite.js b/lab/exercises/10-mixed/check-prerequisite.js
diff --git a/lab/exercises/10-mixed/check-prerequisite.spec.js b/lab/exercises/10-mixed/check-prerequisite.spec.js
diff --git a/lab/exercises/10-mixed/linked-list-data-equality.js b/lab/exercises/10-mixed/linked-list-data-equality.js
Original file line number	Diff line number	Diff line change
		@@ -0,0 +1,9 @@
	// brute force: O(nd) \| O(1)
	function rotLeft(a, d) {
	for (let i = 0; i < d; i++) { // O(d)
	a.push(a.shift()); // O(n), shift O(n)
	}
	return a;
	}

	module.exports = rotLeft;
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		@@ -0,0 +1,11 @@
	// modulus for rotations: O(n^2) \| O(1)
	function rotLeft(a, d) {
	const len = a.length;
	const rot = d % len;
	for (let i = 0; i < rot; i++) { // O(n^2)
	a.push(a.shift()); // O(n)
	}
	return a;
	}

	module.exports = rotLeft;
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		@@ -0,0 +1,12 @@
	// additional space: O(n) \| O(n)
	function rotLeft(a, d) {
	const len = a.length;
	const rot = d % len;
	const b = [];
	for (let i = 0; i < len; i++) { // O(n)
	b[i] = a[(rot + i) % len]; // O(1)
	}
	return b;
	}

	module.exports = rotLeft;
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		@@ -0,0 +1,17 @@
	/eslint-disable /
	// npx jest benchmarks/two-sum-implementations/two-sum.spec.js --watch --collectCoverage
	const implementations = [
	{ name: 1, fn: require('./01-array-rotation') },
	{ name: '1a', fn: require('./01a-array-rotation') },
	{ name: 2, fn: require('./02-array-rotation') },
	];

	implementations.forEach(({name, fn}) => {
	describe(`Two Sum: ${name}`, () => {
	it('should work on worst case', () => {
	const rots = 1000;
	const array = [1, 2, 3];
	expect(fn(array, rots)).toEqual([2,3,1]);
	});
	});
	});
Original file line number	Diff line number	Diff line change
		@@ -0,0 +1,13 @@
	// Brute force: O(n^2) \| O(1)
	function twoSum(nums, target) {
	for (let i = 0; i < nums.length - 1; i++) { // O(n^2)
	const diff = target - nums[i];
	const offset = i + 1;
	const idx = nums.slice(offset).findIndex((n) => n === diff); // O(n)
	const j = offset + idx;
	if (idx > -1) return [i, j];
	}
	return [];
	}

	module.exports = twoSum;
Original file line number	Diff line number	Diff line change
		@@ -1,4 +1,4 @@
	// With a HashMap: O(n) \| O(n)
	// [map w/dups handling] → O(n^2) \| O(n)
		function twoSum(nums, target) {
		const map = nums.reduce((m, v, i) => { // O(n)
		const ids = m.get(v) \|\| [];
Expand All		@@ -8,8 +8,9 @@ function twoSum(nums, target) {

		for (let i = 0; i < nums.length; i++) { // O(n)
		const diff = target - nums[i];
	if (map.has(diff) && i !== map.get(diff)) {
	return [i, map.get(diff)];
	if (map.has(diff)) {
	const id = map.get(diff).find((j) => j > i);
	if (id > -1) return [i, id];
		}
		}

Expand Down
Original file line number	Diff line number	Diff line change
		@@ -0,0 +1,24 @@
	// [map w/dups handling] → O(n^2) \| O(n)
	function twoSum(nums, target) {
	const map = mapify(nums);

	for (let i = 0; i < nums.length; i++) { // O(n)
	const diff = target - nums[i];
	if (map.has(diff)) {
	const id = map.get(diff).find((j) => j > i);
	if (id > -1) return [i, id];
	}
	}

	return [];
	}

	function mapify(nums) {
	return nums.reduce((m, v, i) => { // O(n)
	const ids = m.get(v) \|\| [];
	ids.push(i);
	return m.set(v, ids);
	}, new Map());
	}

	module.exports = twoSum;
Original file line number	Diff line number	Diff line change
		@@ -0,0 +1,23 @@
	// sort + two pointers: O(n log n) \| O(1)
	function twoSum(nums, target) {
	nums.sort((a, b) => a - b);

	let lo = 0;
	let hi = nums.length - 1;

	while (lo < hi) {
	const sum = nums[lo] + nums[hi];
	if (sum === target) {
	return [lo, hi];
	}

	if (sum > target) {
	hi--;
	} else {
	lo++;
	}
	}
	return [];
	}

	module.exports = twoSum;
Original file line number	Diff line number	Diff line change
		@@ -0,0 +1,33 @@
	const checkIfPrerequisite = function (n, prerequisites, queries) {
	const graph = new Map();

	Array(n).fill(0).forEach((v, i) => graph.set(i, {
	children: [],
	// connected: new Set(),
	}));

	prerequisites.forEach(([u, v]) => {
	graph.get(u).children.push(v);
	// graph.get(u).connected.add(v);
	});


	return queries.map(([u, v]) => isConnected(graph, u, v, new Set(), u));
	};

	function isConnected(graph, u, v, path = new Set(), p) {
	// console.log({u, v, path}, graph)
	// if (graph.get(u).connected.has(v)) return true;
	// path.forEach(s => graph.get(p).connected.add(s));

	for (const child of graph.get(u).children) {
	if (child === v) return true;
	if (path.has(child)) continue;
	if (isConnected(graph, child, v, path.add(u), p)) return true;
	}

	return false;
	}


	module.exports = checkIfPrerequisite;
Original file line number	Diff line number	Diff line change
		@@ -0,0 +1,140 @@
	const checkIfPrerequisite = require('./check-prerequisite');

	describe('checkIfPrerequisite', () => {
	it('should work with 2', () => {
	const n = 2;
	const prerequisites = [[1, 0]];
	const queries = [
	[0, 1],
	[1, 0],
	];
	expect(checkIfPrerequisite(n, prerequisites, queries)).toEqual([
	false,
	true,
	]);
	});

	it('example 4', () => {
	const n = 3;
	const prerequisites = [
	[1, 0],
	[2, 0],
	];
	const queries = [
	[0, 1],
	[2, 0],
	];
	expect(checkIfPrerequisite(n, prerequisites, queries)).toEqual([
	false,
	true,
	]);
	});

	it('example 5', () => {
	const n = 5;
	const prerequisites = [
	[0, 1],
	[1, 2],
	[2, 3],
	[3, 4],
	];
	const queries = [
	[0, 4],
	[4, 0],
	[1, 3],
	[3, 0],
	];
	expect(checkIfPrerequisite(n, prerequisites, queries)).toEqual([
	true,
	false,
	true,
	false,
	]);
	});

	it('no prereq', () => {
	const n = 2;
	const prerequisites = [];
	const queries = [
	[1, 0],
	[0, 1],
	];
	expect(checkIfPrerequisite(n, prerequisites, queries)).toEqual([
	false,
	false,
	]);
	});

	it('example 3', () => {
	const n = 3;
	const prerequisites = [
	[1, 2],
	[1, 0],
	[2, 0],
	];
	const queries = [
	[1, 0],
	[1, 2],
	];
	expect(checkIfPrerequisite(n, prerequisites, queries)).toEqual([
	true,
	true,
	]);
	});

	it('should work with inferred', () => {
	const n = 3;
	const prerequisites = [
	[0, 1],
	[1, 2],
	];
	const queries = [
	[0, 1],
	[1, 2],
	[0, 2],
	[2, 1],
	[2, 0],
	];
	expect(checkIfPrerequisite(n, prerequisites, queries)).toEqual([
	true,
	true,
	true,
	false,
	false,
	]);
	});

	it('should work with 4', () => {
	const n = 4;
	const prerequisites = [
	[2, 3],
	[2, 1],
	[0, 3],
	[0, 1],
	];
	// https://bit.ly/2ApKE3L
	const queries = [
	[0, 1],
	[0, 3],
	[2, 3],
	[3, 0],
	[2, 0],
	[0, 2],
	];
	expect(checkIfPrerequisite(n, prerequisites, queries)).toEqual([
	true,
	true,
	true,
	false,
	false,
	false,
	]);
	});

	it('stress testing', () => {
	const n = 33;
	const prerequisites = [[16,22],[16,15],[16,2],[16,3],[16,25],[16,21],[16,11],[16,23],[16,5],[16,13],[16,20],[16,29],[16,14],[16,9],[16,17],[16,6],[16,27],[16,8],[16,24],[16,1],[16,31],[16,7],[16,18],[16,26],[16,30],[16,28],[16,10],[16,12],[32,22],[32,15],[32,2],[32,25],[32,21],[32,11],[32,23],[32,5],[32,4],[32,20],[32,29],[32,14],[32,17],[32,19],[32,6],[32,27],[32,8],[32,24],[32,1],[32,31],[32,7],[32,18],[32,26],[32,30],[32,28],[32,10],[32,12],[32,0],[22,15],[22,2],[22,3],[22,21],[22,11],[22,23],[22,5],[22,4],[22,13],[22,20],[22,29],[22,9],[22,17],[22,19],[22,6],[22,8],[22,24],[22,31],[22,7],[22,18],[22,26],[22,30],[22,28],[22,10],[22,12],[22,0],[15,2],[15,3],[15,25],[15,21],[15,11],[15,23],[15,5],[15,4],[15,13],[15,29],[15,14],[15,9],[15,17],[15,19],[15,6],[15,27],[15,8],[15,24],[15,1],[15,31],[15,7],[15,18],[15,26],[15,30],[15,28],[15,10],[15,12],[15,0],[2,25],[2,21],[2,11],[2,23],[2,5],[2,4],[2,13],[2,29],[2,14],[2,9],[2,17],[2,19],[2,6],[2,27],[2,8],[2,24],[2,1],[2,31],[2,7],[2,18],[2,10],[2,12],[2,0],[3,25],[3,21],[3,11],[3,23],[3,5],[3,4],[3,13],[3,20],[3,29],[3,14],[3,9],[3,17],[3,6],[3,8],[3,1],[3,31],[3,7],[3,18],[3,26],[3,30],[3,10],[3,12],[3,0],[25,21],[25,11],[25,23],[25,5],[25,4],[25,20],[25,29],[25,14],[25,9],[25,17],[25,19],[25,6],[25,27],[25,8],[25,24],[25,1],[25,31],[25,7],[25,18],[25,26],[25,30],[25,28],[25,10],[25,12],[21,11],[21,23],[21,5],[21,4],[21,13],[21,20],[21,29],[21,14],[21,9],[21,19],[21,6],[21,27],[21,8],[21,24],[21,1],[21,31],[21,7],[21,18],[21,26],[21,30],[21,28],[21,10],[21,12],[21,0],[11,23],[11,5],[11,4],[11,13],[11,20],[11,29],[11,14],[11,9],[11,17],[11,19],[11,6],[11,27],[11,8],[11,24],[11,1],[11,31],[11,7],[11,18],[11,26],[11,30],[11,28],[11,10],[11,12],[11,0],[23,5],[23,4],[23,13],[23,20],[23,29],[23,14],[23,9],[23,17],[23,6],[23,8],[23,24],[23,1],[23,7],[23,18],[23,28],[23,10],[23,12],[5,13],[5,20],[5,9],[5,17],[5,6],[5,27],[5,24],[5,1],[5,31],[5,7],[5,18],[5,26],[5,30],[5,10],[5,12],[5,0],[4,13],[4,20],[4,29],[4,14],[4,17],[4,19],[4,6],[4,8],[4,24],[4,1],[4,31],[4,7],[4,18],[4,26],[4,30],[4,28],[4,10],[4,12],[4,0],[13,20],[13,14],[13,9],[13,17],[13,19],[13,8],[13,24],[13,1],[13,31],[13,7],[13,18],[13,26],[13,30],[13,28],[13,10],[13,12],[13,0],[20,29],[20,14],[20,9],[20,17],[20,19],[20,6],[20,27],[20,1],[20,31],[20,26],[20,30],[20,28],[20,12],[20,0],[29,14],[29,9],[29,17],[29,19],[29,6],[29,27],[29,8],[29,24],[29,1],[29,31],[29,7],[29,18],[29,30],[29,28],[29,10],[29,12],[29,0],[14,9],[14,17],[14,19],[14,6],[14,27],[14,24],[14,1],[14,31],[14,7],[14,18],[14,26],[14,30],[14,28],[14,12],[14,0],[9,17],[9,19],[9,6],[9,27],[9,8],[9,24],[9,1],[9,31],[9,7],[9,18],[9,26],[9,30],[9,28],[9,12],[9,0],[17,19],[17,6],[17,27],[17,8],[17,24],[17,1],[17,7],[17,18],[17,26],[17,30],[17,28],[17,10],[17,12],[17,0],[19,6],[19,8],[19,24],[19,1],[19,31],[19,7],[19,18],[19,26],[19,30],[19,28],[19,10],[19,0],[6,27],[6,8],[6,24],[6,1],[6,7],[6,26],[6,30],[6,28],[6,10],[6,12],[6,0],[27,8],[27,24],[27,1],[27,7],[27,26],[27,30],[27,28],[27,10],[27,12],[27,0],[8,24],[8,1],[8,31],[8,18],[8,26],[8,28],[8,12],[8,0],[24,1],[24,31],[24,7],[24,18],[24,26],[24,30],[24,28],[24,12],[24,0],[1,31],[1,7],[1,18],[1,26],[1,30],[1,28],[1,10],[1,12],[1,0],[31,7],[31,18],[31,26],[31,30],[31,28],[31,10],[31,12],[31,0],[7,18],[7,26],[7,30],[7,28],[7,10],[18,26],[18,28],[18,10],[26,30],[26,28],[26,10],[26,0],[30,28],[30,10],[30,12],[30,0],[28,12],[28,0],[10,0],[12,0]];
	const queries = [[6,17],[31,23],[32,18],[31,18],[23,8],[30,20],[13,16],[25,31],[30,22],[17,0],[10,26],[32,20],[10,28],[31,32],[32,21],[24,27],[17,10],[27,3],[24,16],[31,29],[6,31],[23,22],[24,13],[7,21],[14,28],[28,30],[28,32],[16,7],[7,32],[10,24],[5,28],[20,32],[27,31],[31,32],[30,32],[4,10],[18,32],[18,22],[10,25],[32,22],[0,32],[32,27],[32,25],[18,12],[24,23],[30,31],[28,18],[18,26],[18,20],[30,16],[7,19],[29,31],[13,10],[18,7],[14,2],[32,30],[14,1],[27,29],[13,22],[25,1],[25,23],[8,29],[16,20],[10,24],[4,20],[0,13],[25,14],[29,27],[12,28],[24,31],[32,26],[29,3],[27,23],[22,31],[21,15],[29,11],[30,26],[18,25],[22,29],[10,26],[20,12],[6,1],[30,7],[4,31],[13,16],[30,18],[13,5],[16,25],[23,28],[28,25],[30,10],[16,21],[32,5],[19,16],[30,29],[2,16],[18,21],[20,24],[24,23],[13,7],[28,5],[32,31],[17,24],[6,29],[24,25],[21,24],[24,22],[26,29],[20,5],[22,29],[19,9],[16,21],[21,18],[2,11],[14,0],[14,7],[17,23],[31,1],[3,9],[22,4],[30,21],[32,11],[31,28],[26,29],[19,0],[22,13],[4,17],[1,2],[29,24],[14,15],[19,0],[6,25],[14,27],[20,31],[25,21],[32,31],[31,27],[6,14],[32,30],[22,20],[27,20],[23,22],[28,31],[15,26],[26,14],[28,7],[29,30],[32,28],[15,26],[14,27],[32,31],[6,23],[8,27],[5,7],[21,18],[14,11],[32,28],[29,8],[24,32],[14,28],[19,21],[15,13],[3,20],[30,27],[22,19],[32,29],[6,10],[26,30],[29,4],[16,3],[31,8],[20,24],[30,8],[17,28],[13,14],[4,10],[12,22],[26,3],[30,28],[3,8],[11,30],[20,4],[20,14],[15,27],[15,23],[27,25],[4,20],[7,31],[24,22],[28,29],[21,31],[32,11],[19,10],[30,25],[8,24],[26,17],[9,26],[17,14],[29,24],[30,31],[29,22],[10,21],[21,19],[25,28],[15,28],[32,29],[23,1],[26,29],[17,31],[25,21],[15,8],[29,28],[20,24],[19,24],[23,22],[2,15],[17,31],[31,32],[23,21],[27,31],[28,24],[2,21],[4,26],[27,20],[14,25],[4,3],[21,22],[28,22],[16,26],[12,22],[27,9],[8,30],[24,30],[23,28],[14,3],[1,7],[32,31],[23,29],[23,29],[11,20],[30,27],[20,7],[31,27],[2,30],[6,11],[18,10],[13,31],[19,31],[24,9],[7,10],[27,31],[3,4],[24,2],[8,21],[13,27],[23,20],[26,25],[18,30],[26,23],[20,29],[32,27],[29,14],[29,27],[6,27],[17,0],[29,30],[31,28],[24,29],[23,0],[31,23],[23,26],[21,14],[16,7],[28,12],[3,7],[3,30],[31,29],[15,0],[13,6],[32,12],[28,26],[27,30],[23,29],[5,13],[29,30],[14,22],[9,22],[16,13],[31,28],[30,13],[14,21],[32,31],[10,21],[27,24],[11,4],[13,1],[21,24],[31,32],[12,3],[29,32],[15,14],[9,26],[25,21],[32,31],[11,23],[18,11],[18,21],[24,1],[31,18],[26,20],[19,6],[25,10],[21,28],[23,32],[28,30],[31,30],[6,16],[19,29],[13,23],[31,30],[29,25],[32,19],[26,23],[2,3],[22,24],[32,29],[24,27],[30,8],[31,30],[24,13],[31,32],[26,30],[27,10],[26,5],[10,22],[27,32],[17,14],[26,18],[32,31],[10,5],[0,19],[28,30],[13,7],[9,28],[20,19],[4,23],[30,31],[26,21],[25,24],[23,22],[26,29],[22,17],[18,20],[18,31],[11,16],[0,23],[9,6],[17,19],[1,4],[18,27],[20,30],[16,19],[25,23],[32,29],[32,30],[18,3],[2,21],[0,5],[18,16],[11,1],[28,16],[31,10],[32,14],[13,32],[20,22],[25,23],[14,21],[14,26],[14,3],[18,5],[28,24],[4,19],[2,16],[24,16],[21,19],[32,25],[30,23],[12,8],[11,17],[13,5],[23,16],[28,22],[10,29],[10,15],[29,6],[18,10],[26,30],[31,21],[23,2],[27,20],[32,17],[1,16],[32,30],[22,12],[17,0],[4,6],[31,29],[30,32],[18,28],[32,28],[16,28],[19,25],[31,32],[25,31],[19,21],[12,9],[18,32],[17,10],[21,9],[0,16],[16,23],[10,30],[31,19],[30,19],[26,12],[24,25],[17,32],[23,22],[6,23],[14,28],[5,14],[25,29],[28,24],[8,3],[30,19],[26,7],[11,17],[32,29],[26,28],[14,23],[30,25],[25,31],[31,4],[11,9],[30,19],[19,2],[11,9],[21,28],[13,10],[19,6],[1,19],[24,15],[23,25],[16,30],[9,26],[28,0],[21,24],[19,3],[26,6],[11,21],[17,21],[16,21],[1,31],[15,16],[31,32],[30,8],[6,7],[23,14],[19,22],[31,32],[23,20],[17,30],[4,3],[17,1],[32,25],[10,31],[11,12],[26,28],[25,28],[31,23],[18,16],[16,14],[2,8],[1,14],[10,19],[26,8],[16,7],[25,18],[16,10],[19,27],[30,31],[29,21],[29,28],[17,30],[10,24],[16,0],[32,31],[32,31],[8,1],[23,11],[25,28],[20,14],[16,10],[10,0],[22,32],[15,9],[19,14],[27,25],[27,25],[31,32],[13,30],[9,31],[15,26],[15,28],[0,25],[30,22],[7,24],[10,28],[22,23],[16,28],[8,9],[31,17],[19,25],[23,6],[29,32],[4,5],[21,5],[27,23],[31,30],[29,30],[24,25],[20,30],[27,18],[21,9],[32,30],[23,5],[17,5],[20,18],[19,12],[32,28],[21,17],[32,20],[26,13],[28,25],[31,32],[19,29],[29,14],[24,15],[30,4],[14,20],[27,22],[4,16],[9,22],[18,5],[31,13],[26,29],[30,32],[27,30],[0,8],[17,1],[30,32],[18,19],[25,22],[23,17],[24,26],[8,10],[20,23],[32,31],[32,20],[22,9],[0,15],[19,18],[32,29],[22,1],[19,22],[13,23],[31,32],[20,3],[29,8],[27,29],[7,17],[16,20],[24,4],[30,32],[28,12],[32,31],[31,30],[6,18],[32,30],[11,6],[28,29],[21,31],[2,21],[9,30],[31,32],[13,21],[31,14],[22,30],[32,26],[11,30],[9,19],[10,20],[29,10],[1,20],[25,30],[13,20],[15,16],[27,28],[29,22],[13,3],[7,17],[12,14],[32,31],[18,15],[31,28],[25,31],[30,31],[29,2],[26,19],[31,24],[22,3],[32,31],[23,28],[2,24],[4,8],[19,5],[16,29],[7,13],[10,28],[12,9],[23,28],[14,27],[31,24],[14,3],[26,31],[23,32],[14,31],[14,18],[0,10],[23,13],[25,24],[17,7],[17,11],[19,2],[32,16],[9,15],[25,17],[12,3],[32,26],[12,20],[29,11],[29,32],[5,7],[23,25],[27,22],[31,32],[30,22],[30,31],[9,10],[28,29],[5,3],[8,24],[28,32],[14,22],[7,28],[30,20],[20,9],[32,31],[23,31],[31,29],[32,30],[24,32],[1,2],[20,4],[1,21],[31,15],[26,27],[10,24],[1,25],[23,20],[20,22],[9,29],[25,24],[17,9],[17,9],[13,32],[21,20],[29,20],[19,7],[28,30],[12,28],[21,28],[12,16],[14,11],[6,27],[31,23],[10,15],[28,7],[0,5],[19,17],[25,11],[7,16],[32,30],[32,30],[12,31],[11,12],[31,28],[27,32],[14,1],[17,5],[15,25],[8,19],[29,31],[14,27],[18,20],[7,3],[9,6],[20,24],[9,27],[1,11],[20,4],[12,30],[21,7],[28,3],[32,30],[11,0],[29,27],[31,32],[11,9],[24,0],[24,14],[21,3],[13,30],[25,32],[21,24],[7,8],[19,22],[21,20],[11,4],[5,4],[9,17],[31,26],[26,18],[25,21],[19,17],[7,4],[5,17],[2,4],[20,16],[13,20],[31,32],[29,24],[3,24],[10,23],[9,16],[18,17],[21,26],[27,29],[31,32],[24,2],[15,26],[1,8],[14,20],[31,32],[21,14],[32,23],[31,25],[31,17],[15,13],[22,32],[27,21],[32,10],[26,28],[27,29],[12,29],[6,16],[14,19],[17,21],[23,27],[1,12],[14,26],[22,21],[0,12],[10,9],[13,18],[20,23],[27,28],[11,15],[32,26],[23,4],[27,32],[19,10],[20,24],[9,12],[1,12],[16,12],[6,14],[11,21],[6,4],[11,22],[31,27],[21,20],[17,30],[31,32],[3,17],[27,22],[21,28],[25,5],[29,27],[31,18],[31,30],[29,27],[12,21],[29,10],[3,18],[21,31],[8,15],[16,22],[16,21],[32,31],[31,8],[5,13],[11,19],[23,4],[23,10],[5,26],[25,7],[8,27],[32,9],[30,28],[13,23],[32,28],[16,21],[31,32],[25,16],[32,28],[23,26],[11,22],[20,21],[28,12],[15,12],[14,13],[5,18],[15,14],[7,27],[11,0],[15,18],[32,17],[21,7],[27,26],[27,12],[27,32],[31,32],[19,30],[26,28],[32,31],[31,9],[30,26],[30,28],[27,24],[31,32],[14,20],[22,5],[5,26],[24,28],[29,30],[15,31],[11,30],[32,26],[31,13],[14,27],[32,18],[19,0],[28,24],[26,32],[17,15],[28,8],[26,10],[26,24],[21,10],[1,31],[14,29],[32,29],[9,16],[31,28],[25,31],[22,29],[32,22],[4,0],[26,5],[30,32],[8,24],[30,17],[32,30],[21,16],[17,24],[30,26],[18,32],[27,26],[16,31],[25,7],[30,18],[0,25],[32,31],[4,26],[31,27],[20,32],[9,24],[1,31],[22,30],[27,30],[23,32],[29,31],[31,30],[30,19],[6,5],[31,30],[22,1],[29,27],[24,31],[23,22],[15,20],[21,15],[8,14],[1,10],[32,23],[27,14],[15,30],[30,32],[28,30],[9,16],[20,14],[20,21],[32,25],[28,20],[29,16],[7,1],[7,28],[10,12],[20,27],[24,26],[6,26],[23,17],[20,6],[14,7],[30,15],[32,27],[30,27],[27,30],[24,1],[31,30],[30,28],[27,22],[22,27],[14,13],[28,17],[31,30],[23,29],[17,24],[29,32],[19,21],[29,21],[25,28],[16,12],[30,26],[10,19],[30,0],[20,12],[3,9],[7,32],[12,21],[24,8]];
	checkIfPrerequisite(n, prerequisites, queries);
	});
	});