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CODINGCONTRACT: Move internals to a separate folder (#1932)
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import { getRandomIntInclusive } from "../../utils/helpers/getRandomIntInclusive";
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import { CodingContractTypes } from "../ContractTypes";
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import { CodingContractName } from "@enums";
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export const shortestPathInAGrid: Pick<CodingContractTypes, CodingContractName.ShortestPathInAGrid> = {
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[CodingContractName.ShortestPathInAGrid]: {
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desc: (data: number[][]): string => {
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return [
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"You are located in the top-left corner of the following grid:\n\n",
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` [${data.map((line) => `[${line}]`).join(",\n ")}]\n\n`,
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"You are trying to find the shortest path to the bottom-right corner of the grid,",
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"but there are obstacles on the grid that you cannot move onto.",
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"These obstacles are denoted by '1', while empty spaces are denoted by 0.\n\n",
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"Determine the shortest path from start to finish, if one exists.",
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"The answer should be given as a string of UDLR characters, indicating the moves along the path\n\n",
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"NOTE: If there are multiple equally short paths, any of them is accepted as answer.",
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"If there is no path, the answer should be an empty string.\n",
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"NOTE: The data returned for this contract is an 2D array of numbers representing the grid.\n\n",
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"Examples:\n\n",
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" [[0,1,0,0,0],\n",
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" [0,0,0,1,0]]\n",
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"\n",
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"Answer: 'DRRURRD'\n\n",
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" [[0,1],\n",
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" [1,0]]\n",
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"\n",
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"Answer: ''",
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].join(" ");
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},
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difficulty: 7,
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generate: (): (1 | 0)[][] => {
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const height = getRandomIntInclusive(6, 12);
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const width = getRandomIntInclusive(6, 12);
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const dstY = height - 1;
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const dstX = width - 1;
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const minPathLength = dstY + dstX; // Math.abs(dstY - srcY) + Math.abs(dstX - srcX)
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const grid: (1 | 0)[][] = new Array<(1 | 0)[]>(height);
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for (let y = 0; y < height; y++) grid[y] = new Array<1 | 0>(width).fill(0);
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for (let y = 0; y < height; y++) {
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for (let x = 0; x < width; x++) {
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if (y == 0 && x == 0) continue; // Don't block start
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if (y == dstY && x == dstX) continue; // Don't block destination
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// Generate more obstacles the farther a position is from start and destination.
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// Raw distance factor peaks at 50% at half-way mark. Rescale to 40% max.
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// Obstacle chance range of [15%, 40%] produces ~78% solvable puzzles
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const distanceFactor = (Math.min(y + x, dstY - y + dstX - x) / minPathLength) * 0.8;
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if (Math.random() < Math.max(0.15, distanceFactor)) grid[y][x] = 1;
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}
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}
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return grid;
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},
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solver: (data, answer) => {
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const width = data[0].length;
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const height = data.length;
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const dstY = height - 1;
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const dstX = width - 1;
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const distance: number[][] = new Array<number[]>(height);
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//const prev: [[number, number] | undefined][] = new Array(height);
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const queue: [number, number][] = [];
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for (let y = 0; y < height; y++) {
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distance[y] = new Array<number>(width).fill(Infinity);
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//prev[y] = new Array(width).fill(undefined) as [undefined];
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}
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function validPosition(y: number, x: number): boolean {
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return y >= 0 && y < height && x >= 0 && x < width && data[y][x] == 0;
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}
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// List in-bounds and passable neighbors
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function* neighbors(y: number, x: number): Generator<[number, number]> {
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if (validPosition(y - 1, x)) yield [y - 1, x]; // Up
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if (validPosition(y + 1, x)) yield [y + 1, x]; // Down
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if (validPosition(y, x - 1)) yield [y, x - 1]; // Left
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if (validPosition(y, x + 1)) yield [y, x + 1]; // Right
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}
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// Prepare starting point
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distance[0][0] = 0;
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queue.push([0, 0]);
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// Take next-nearest position and expand potential paths from there
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while (queue.length > 0) {
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const [y, x] = queue.shift() as [number, number];
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for (const [yN, xN] of neighbors(y, x)) {
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if (distance[yN][xN] == Infinity) {
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queue.push([yN, xN]);
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distance[yN][xN] = distance[y][x] + 1;
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}
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}
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}
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if (!Number.isFinite(distance[dstY][dstX])) return answer === "";
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if (answer.length > distance[dstY][dstX]) return false;
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let ansX = 0;
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let ansY = 0;
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for (const direction of answer.split("")) {
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switch (direction) {
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case "U":
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ansY -= 1;
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break;
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case "D":
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ansY += 1;
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break;
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case "L":
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ansX -= 1;
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break;
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case "R":
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ansX += 1;
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break;
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default:
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return false;
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}
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}
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return ansX === dstX && ansY === dstY;
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},
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convertAnswer: (ans) => ans.replace(/\s/g, ""),
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validateAnswer: (ans): ans is string =>
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typeof ans === "string" && ans.split("").every((c) => ["U", "D", "L", "R"].includes(c)),
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},
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};
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