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100 changes: 68 additions & 32 deletions exercises/palindrome-products/example.js
Original file line number Diff line number Diff line change
@@ -1,36 +1,72 @@
const isPalindrome = num => num.toString().split('').reverse().join('') === num.toString();

export const generatePalindrome = (params) => {
let maxFactor,
minFactor,
maxProduct,
minProduct,
data;
maxFactor = params.maxFactor;
minFactor = params.minFactor || 1;
maxProduct = 1;
minProduct = Infinity;
data = [];

for (let ii = minFactor; ii < maxFactor; ii++) {
for (let jj = ii; jj <= maxFactor; jj++) {
const product = ii * jj;
if (isPalindrome(product)) {
data[product] = [ii, jj];
maxProduct = Math.max(maxProduct, product);
minProduct = Math.min(minProduct, product);
const reverseString = str => str.split('').reverse().join('');

class Palindrome {
constructor(factor1, factor2) {
this.value = factor1 * factor2;
this.factors = [[factor1, factor2].sort()];
}

withFactors(factors) {
this.factors.push(factors.sort());
this.factors = this.factors.sort();
return this;
}

valid() {
const s = `${this.value}`;
return s === reverseString(s);
}

merge(other) {
other.factors.forEach(f => this.factors.push(f));
this.factors = this.factors.sort();
return this;
}
}

export class Palindromes {
constructor(maxFactor, minFactor = 1) {
this.maxFactor = maxFactor;
this.minFactor = minFactor;
}

get largest() {
let best = new Palindrome(this.minFactor, this.minFactor);
for (let m = this.maxFactor; m >= this.minFactor; m -= 1) {
let p = null;
for (let n = m; n >= this.minFactor && (!p || !p.valid()); n -= 1) {
p = new Palindrome(m, n);
if (p.valid()) {
if (best.value < p.value) {
best = p;
} else if (best.value === p.value) {
best = p.merge(best);
}
}
}
}
if (best.valid()) {
return best;
}
return { value: null, factors: [] };
}

return {
largest: {
value: maxProduct,
factors: data[maxProduct],
},
smallest: {
value: minProduct,
factors: data[minProduct],
},
};
};
get smallest() {
for (let m = this.minFactor; m <= this.maxFactor; m += 1) {
for (let n = this.minFactor; n <= this.maxFactor; n += 1) {
const p = new Palindrome(m, n);
if (p.valid()) {
return p;
}
}
}
return { value: null, factors: [] };
}

static generate(params) {
if ((params.minFactor || 1) > params.maxFactor) {
throw new Error('min must be <= max');
}
return new Palindromes(params.maxFactor, params.minFactor || 1);
}
}
128 changes: 84 additions & 44 deletions exercises/palindrome-products/palindrome-products.spec.js
Original file line number Diff line number Diff line change
@@ -1,69 +1,109 @@
import { generatePalindrome } from './palindrome-products';
import { Palindromes } from './palindrome-products';

describe('Palindrome', () => {
test('largest palindrome from single digit factors', () => {
const palindromes = generatePalindrome({ maxFactor: 9 });
describe('Palindromes', () => {
test('smallest palindrome from single digit factors', () => {
const palindromes = Palindromes.generate({ maxFactor: 9, minFactor: 1 });
const smallest = palindromes.smallest;
const expected = {value: 1, factors: [[1, 1]]};

expect(smallest.value).toEqual(expected.value);
expect(sortFactors(smallest.factors)).toEqual(expected.factors);
});

xtest('largest palindrome from single digit factors', () => {
const palindromes = Palindromes.generate({ maxFactor: 9, minFactor: 1 });
const largest = palindromes.largest;
const expected = {value: 9, factors: [[1, 9], [3, 3]]};

expect(largest.value).toEqual(9);
const containsMatch = [[3, 3], [1, 9]].filter(el => numericalArraysMatch(el, largest.factors)).length > 0;
expect(containsMatch).toBe(true);
expect(largest.value).toEqual(expected.value);
expect(sortFactors(largest.factors)).toEqual(expected.factors);
});

xtest('smallest palindrome from double digit factors', () => {
const palindromes = Palindromes.generate({ maxFactor: 99, minFactor: 10 });
const smallest = palindromes.smallest;
const expected = {value: 121, factors: [[11, 11]]};

expect(smallest.value).toEqual(expected.value);
expect(sortFactors(smallest.factors)).toEqual(expected.factors);
});

xtest('largest palindrome from double digit factors', () => {
const palindromes = generatePalindrome({ maxFactor: 99, minFactor: 10 });
const palindromes = Palindromes.generate({ maxFactor: 99, minFactor: 10 });
const largest = palindromes.largest;
const expected = {value: 9009, factors: [[91, 99]]};

expect(largest.value).toEqual(9009);
expect(largest.factors).toEqual([91, 99]);
expect(largest.value).toEqual(expected.value);
expect(sortFactors(largest.factors)).toEqual(expected.factors);
});

xtest('smallest palindrome from double digit factors', () => {
const palindromes = generatePalindrome({ maxFactor: 99, minFactor: 10 });
xtest('smallest palindrome from triple digit factors', () => {
const palindromes = Palindromes.generate({ maxFactor: 999, minFactor: 100 });
const smallest = palindromes.smallest;
const expected = {value: 10201, factors: [[101, 101]]};

expect(smallest.value).toEqual(121);
expect(smallest.factors).toEqual([11, 11]);
expect(smallest.value).toEqual(expected.value);
expect(sortFactors(smallest.factors)).toEqual(expected.factors);
});

xtest('largest palindrome from triple digit factors', () => {
const palindromes = generatePalindrome({ maxFactor: 999, minFactor: 100 });
const palindromes = Palindromes.generate({ maxFactor: 999, minFactor: 100 });
const largest = palindromes.largest;
const expected = {value: 906609, factors: [[913, 993]]};

expect(largest.value).toEqual(906609);
expect(largest.factors).toEqual([913, 993]);
expect(largest.value).toEqual(expected.value);
expect(sortFactors(largest.factors)).toEqual(expected.factors);
});

xtest('smallest palindrome from triple digit factors', () => {
const palindromes = generatePalindrome({ maxFactor: 999, minFactor: 100 });
xtest('smallest palindrome from four digit factors', () => {
const palindromes = Palindromes.generate({ maxFactor: 9999, minFactor: 1000 });
const smallest = palindromes.smallest;
const expected = {value: 1002001, factors: [[1001, 1001]]};

expect(smallest.value).toEqual(10201);
expect(smallest.factors).toEqual([101, 101]);
expect(smallest.value).toEqual(expected.value);
expect(sortFactors(smallest.factors)).toEqual(expected.factors);
});
});

function numericalArraysMatch(a, b) {
if (a.length !== b.length) {
return false;
}
const one = [...a].sort(numericalSort);
const two = [...b].sort(numericalSort);
let result = true;
let index = 0;
while (index < one.length) {
result = result && one[index] === two[index];
index++;
}
return result;
}
xtest('largest palindrome from four digit factors', () => {
const palindromes = Palindromes.generate({ maxFactor: 9999, minFactor: 1000 });
const largest = palindromes.largest;
const expected = {value: 99000099, factors: [[9901, 9999]]};

expect(largest.value).toEqual(expected.value);
expect(sortFactors(largest.factors)).toEqual(expected.factors);
});

xtest('empty result for smallest if no palindrome in range', () => {
const palindromes = Palindromes.generate({ maxFactor: 1003, minFactor: 1002 });
const smallest = palindromes.smallest;

expect(smallest.value).toBe(null);
expect(smallest.factors).toEqual([]);
});

xtest('empty result for largest if no palindrome in range', () => {
const palindromes = Palindromes.generate({ maxFactor: 15, minFactor: 15 });
const largest = palindromes.largest;

expect(largest.value).toBe(null);
expect(largest.factors).toEqual([]);
});

xtest('error for smallest if min is more than max', () => {
expect(() => {
const palindromes = Palindromes.generate({ maxFactor: 1, minFactor: 10000 });
palindromes.smallest;
}).toThrow(new Error('min must be <= max'));
});

xtest('error for largest if min is more than max', () => {
expect(() => {
const palindromes = Palindromes.generate({ maxFactor: 1, minFactor: 2 });
palindromes.largest;
}).toThrow(new Error('min must be <= max'));
});
});

function numericalSort(x, y) {
if (x < y) {
return -1;
}
if (x > y) {
return 1;
}
return 0;
function sortFactors(factors) {
return factors.map(f => f.sort()).sort();
}