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1103-distribute-candies-to-people.js
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// 1103. Distribute Candies to People
// https://leetcode.com/problems/distribute-candies-to-people/
// =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
// Runtime: 52 ms, faster than 78.95% of JavaScript online submissions
// Memory Usage: 34.6 MB, less than 100.00% of JavaScript online submissions
/**
* @param {number} candies
* @param {number} num_people
* @return {number[]}
*/
// const distributeCandies = (candies, num_people) => {
// const result = new Array(num_people).fill(0);
// for (let i = 1; 0 < candies; candies -= i, i++) {
// const person = (i - 1) % num_people;
// if (candies < i) {
// result[person] += candies;
// break;
// }
// result[person] += i;
// }
// return result;
// };
// =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
// Runtime: 60 ms, faster than 40.22% of JavaScript online submissions
// Memory Usage: 36.6 MB, less than 100.00% of JavaScript online submissions
// 0 | 1 2 3 4 5 = 15
// 1 | 7 9 11 13 15 = 55
// 2 | 18 21 24 27 30 = 120
// 3 | 34 38 42 46 50 = 210
// 4 | 55 60 65 70 75 = 325
// (n / 2) * (a1 + aN)
// 1, 5 = (Math.ceil (1 / 5) / 2) * (1 + 1) = 1
// 2, 5 = (Math.ceil (2 / 5) / 2) * (2 + 2) = 2
// 6, 5 = (Math.ceil( 6 / 5) / 2) * (1 + 6) = 7
// 7, 5 = (Math.ceil( 7 / 5) / 2) * (2 + 7) = 9
// 11, 5 = (Math.ceil(11 / 5) / 2) * (1 + 11) = 18
// 16, 5 = (Math.ceil(16 / 5) / 2) * (1 + 16) = 34
// 21, 5 = (Math.ceil(21 / 5) / 2) * (1 + 21) = 55
// const sumTo = (n, s = 1) => (Math.ceil(n / s) / 2) * ((n % s || s) + n);
// console.log(sumTo(1, 5));
// console.log(sumTo(2, 5));
// console.log(sumTo(3, 5));
// console.log(sumTo(4, 5));
// console.log(sumTo(5, 5));
// ----------------------
// console.log(sumTo(6, 5));
// console.log(sumTo(7, 5));
// console.log(sumTo(8, 5));
// console.log(sumTo(9, 5));
// console.log(sumTo(10, 5));
// -----------------------
// console.log(sumTo(11, 5));
// console.log(sumTo(16, 5));
// console.log(sumTo(21, 5));
// 5 * n * (5 * n + 1) / 2
// 1, 5 = (5 * 1) * ((5 * 1) + 1) / 2 = 15
// 2, 5 = (5 * 2) * ((5 * 2) + 1) / 2 = 55
// 3, 5 = (5 * 3) * ((5 * 3) + 1) / 2 = 120
// 4, 5 = (5 * 4) * ((5 * 4) + 1) / 2 = 210
// 5, 5 = (5 * 5) * ((5 * 5) + 1) / 2 = 325
// const getTriangularNumber = (n, s = 1) => (s * n * (s * n + 1)) / 2;
// console.log(getTriangularNumber(1, 5));
// console.log(getTriangularNumber(2, 5));
// console.log(getTriangularNumber(3, 5));
// console.log(getTriangularNumber(4, 5));
// console.log(getTriangularNumber(5, 5));
// arraySum = a => a.reduce((acc, curr) => acc + curr);
/**
* @param {number} candies
* @param {number} num_people
* @return {number[]}
*/
// const distributeCandies = (candies, num_people) => {
// let [tn, tni] = [0, 0];
// while (tn < candies) tn = getTriangularNumber(tni++, num_people);
// // console.log(tn);
// // console.log(tni - 2);
// // console.log((tni - 2) * num_people + 1);
// const start = (tni - 2) * num_people + 1;
// // console.log(start);
// const result = new Array(num_people).fill(0).map((x, i) => sumTo(start + i, num_people));
// // console.log(result);
// if (candies === arraySum(result)) return result;
// const under = new Array(num_people)
// .fill(0)
// .map((x, i) => (start < num_people ? 0 : sumTo(start - num_people + i, num_people)));
// // console.log(under);
// let cursor = result.length - 1;
// // console.log(cursor);
// while (candies < arraySum(result)) {
// result[cursor] = under[cursor];
// cursor--;
// }
// // console.log(result);
// if (arraySum(result) < candies) {
// // console.log('here');
// // console.log(cursor + 1);
// result[cursor + 1] += candies - arraySum(result);
// }
// // console.log(result);
// return result;
// };
// =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
// const sumTo = (n, s = 1) => (Math.ceil(n / s) / 2) * ((n % s || s) + n);
// const getTriangularNumber = (n, s = 1) => (s * n * (s * n + 1)) / 2;
// console.log(getTriangularNumber(3, 3));
/**
* @param {number} candies
* @param {number} num_people
* @return {number[]}
*/
// const distributeCandies = (candies, num_people) => {
// let result = new Array(num_people).fill(0);
// let start = (prev = undefined);
// for (let i = 0, curr; 'undefined' === typeof start; i++) {
// [prev, curr] = [curr, getTriangularNumber(i, num_people)];
// if (candies < curr) start = Math.trunc(candies / (i * num_people));
// }
// console.log(start);
// console.log(prev);
// console.log(candies);
// if (0 < prev) {
// for (let i = 0; i < num_people; i++) {
// result[i] += sumTo(start + i, num_people);
// }
// candies -= prev;
// start += num_people;
// }
// console.log(start);
// console.log(candies);
// console.log(result);
// if (candies < num_people) {
// for (let i = 0; i < num_people && 0 < candies; i++) {
// candies -= result[i] += i + 1;
// }
// }
// for (let i = 0; i < num_people && 0 < candies; i++) {
// if (i + start < candies) {
// result[i] += i + start;
// candies -= i + start;
// } else {
// result[i] += candies;
// break;
// }
// }
// // console.log(candies);
// // console.log(result);
// return result;
// };
// =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
// Runtime: 68 ms, faster than 19.08% of JavaScript online submissions
// Memory Usage: 34.5 MB, less than 100.00% of JavaScript online submissions
/**
* @param {number} candies
* @param {number} num_people
* @return {number[]}
*/
const distributeCandies = (candies, num_people) => {
const result = new Array(num_people).fill(0);
for (let i = 1; 0 < candies; candies -= i++)
result[(i - 1) % num_people] += candies < i ? candies : i;
return result;
};
// =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
import { deepStrictEqual } from 'assert';
deepStrictEqual(distributeCandies(7, 4), [1, 2, 3, 1]);
// 0 | 0 0 0 (0+1) = 0 ( 1, 3, 6)
// 1 | (1) (2) (3) 4 = 10 (15, 21, 28)
deepStrictEqual(distributeCandies(10, 3), [5, 2, 3]);
// 0 | 0 0 0 = 0 ( 1, 3)
// 1 | 1 (2) (3) = 6 (10, 15)
// 2 | (5) 7 9 = 21 (28, 36)
deepStrictEqual(distributeCandies(60, 4), [15, 18, 15, 12]);
// 0 | 0 0 0 0 = 0 ( 1, 3, 6)
// 1 | 1 2 3 4 = 10 (15, 21, 28)
// 2 | 6 8 (10+5) (12) = 36 (45, 55, 66)
// 3 | (15) (18) 21 24 = 78 (91, 105, 120)
deepStrictEqual(distributeCandies(1, 2), [1, 0]);
// 0 | (0+1) 0 = 0 (1)
deepStrictEqual(distributeCandies(80, 4), [17, 18, 21, 24]);
// 0 | 0 0 0 0 = 0 ( 1, 3, 6)
// 1 | 1 2 3 4 = 10 (15, 21, 28)
// 2 | 6 8 10 12 = 36 (45, 55, 66)
// 3 | (15+2) (18) (21) (24) = 78 (91, 105, 120)
// =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
// One
// 0 | 1 = 1
// 1 | 2 = 3
// 2 | 3 = 6
// console.log(sumTo(1, 1));
// console.log(sumTo(2, 1));
// console.log(sumTo(3, 1));
// Two
// 0 | 1 2 = 3 (6)
// 1 | 4 6 = 10 (15)
// 2 | 9 12 = 21
// console.log(sumTo(1, 2));
// console.log(sumTo(3, 2));
// console.log(sumTo(5, 2));
// Three
// 0 | 1 2 3 = 6 (10, 15)
// 1 | 5 7 9 = 21 (28, 36)
// 2 | 12 15 18 = 45
// console.log(sumTo(1, 3));
// console.log(sumTo(4, 3));
// console.log(sumTo(7, 3));
// Four
// 0 | 1 2 3 4 = 10 (15, 21, 28)
// 1 | 6 8 10 12 = 36 (45, 55, 66)
// 2 | 15 18 21 24 = 78
// console.log(sumTo(1, 4));
// console.log(sumTo(5, 4));
// console.log(sumTo(9, 4));
// Five
// 0 | 1 2 3 4 5 = 15 (21, 28, 36, 45)
// 1 | 7 9 11 13 15 = 55 (66, 78, 91, 105)
// 2 | 18 21 24 27 30 = 120 (136, 153, 171, 190)
// 3 | 34 38 42 46 50 = 210 (231, 253, 276, 300)
// 4 | 55 60 65 70 75 = 325
// console.log(sumTo(1, 5));
// console.log(sumTo(6, 5));
// console.log(sumTo(11, 5));
// console.log(sumTo(16, 5));