Created
July 8, 2024 17:16
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Task 1. Develop a Function to Determine the Score in a Game
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| export const TIMESTAMPS_COUNT = 50000; | |
| export const PROBABILITY_SCORE_CHANGED = 0.01; | |
| export const PROBABILITY_HOME_SCORE = 0.45; | |
| export const OFFSET_MAX_STEP = 3; | |
| type Score = { | |
| home: number; | |
| away: number; | |
| }; | |
| export type Stamp = { | |
| offset: number; | |
| score: Score; | |
| }; | |
| const emptyScoreStamp: Stamp = { | |
| offset: 0, | |
| score: { | |
| home: 0, | |
| away: 0, | |
| }, | |
| }; | |
| export const generateStamps = (): Stamp[] => { | |
| const scoreStamps = Array(TIMESTAMPS_COUNT) | |
| .fill(emptyScoreStamp) | |
| .map( | |
| ((acc) => () => { | |
| const scoreChanged = Math.random() > 1 - PROBABILITY_SCORE_CHANGED; | |
| const homeScoreChange = | |
| scoreChanged && Math.random() < PROBABILITY_HOME_SCORE ? 1 : 0; | |
| const awayScoreChange = scoreChanged && !homeScoreChange ? 1 : 0; | |
| return { | |
| offset: (acc.offset += | |
| Math.floor(Math.random() * OFFSET_MAX_STEP) + 1), | |
| score: { | |
| home: (acc.score.home += homeScoreChange), | |
| away: (acc.score.away += awayScoreChange), | |
| }, | |
| }; | |
| })(emptyScoreStamp) | |
| ); | |
| return scoreStamps; | |
| }; | |
| export const getScore = ( | |
| gameStamps: Stamp[] | undefined, | |
| offset: number | |
| ): Score | undefined => { | |
| // Implementing binary search on gameStamps to provide log(n) complexity solution | |
| if (gameStamps && gameStamps.length > 0 && offset) { | |
| let start = 0; | |
| let end = gameStamps.length - 1; | |
| while (start <= end) { | |
| const middle = Math.floor((start + end) / 2); | |
| if (gameStamps[middle].offset === offset) { | |
| // Exact match found | |
| return gameStamps[middle].score; | |
| } else if (gameStamps[middle].offset < offset) { | |
| start = middle + 1; | |
| } else { | |
| end = middle - 1; | |
| } | |
| } | |
| // If no exact match found, determine the closest offset | |
| if (end < 0) { | |
| // No stamps before offset, return the first stamp | |
| return gameStamps[start].score; | |
| } else if (start >= gameStamps.length) { | |
| // No stamps after offset, return the last stamp | |
| return gameStamps[end].score; | |
| } else { | |
| // Determine which stamp is closer to the offset | |
| if ( | |
| offset - gameStamps[end].offset <= | |
| gameStamps[start].offset - offset | |
| ) { | |
| return gameStamps[end].score; | |
| } else { | |
| return gameStamps[start].score; | |
| } | |
| } | |
| } | |
| }; | |
| // const score = getScore(generateStamps(), 4000); | |
| // console.log(score); |
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