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0853-car-fleet.js
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0853-car-fleet.js
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/**
* https://leetcode.com/problems/car-fleet
* Time O(N * log(N)) | Space O(N)
* @param {number} target
* @param {number[]} position
* @param {number[]} speed
* @return {number}
*/
var carFleet = function(target, position, speed) {
const coordinates = getCoordinates(target, position, speed); /* Time O(N * log(N)) | Space O(N) */
return searchAscending(coordinates); /* Time O(N) | Space O(N) */
};
var getCoordinates = (target, position, speed) => position
.map((_position, index) => [ _position, speed[index] ]) /* Time O(N) | Space O(N) */
.sort(([ aPosition ], [ bPosition ]) => aPosition - bPosition) /* Time O(N * log(N)) | HeapSort Space 0(1) | QuickSort Space O(log(N)) */
.map(([ _position, _speed ]) => (target - _position) / _speed); /* Time O(N) | Space O(N) */
var searchAscending = (coordinates, stack = []) => {
for (const coordinate of coordinates) { /* Time O(N + N) */
shrink(coordinate, stack); /* Time O(N + N) */
stack.push(coordinate); /* Space O(N) */
}
return stack.length;
}
const shrink = (coordinate, stack) => {
const isPreviousLess = () => stack[stack.length - 1] <= coordinate;
while (stack.length && isPreviousLess()) stack.pop(); /* Time O(N + N) */
}
/**
* https://leetcode.com/problems/car-fleet
* Time O(N * log(N)) | Space O(N)
* @param {number} target
* @param {number[]} position
* @param {number[]} speed
* @return {number}
*/
var carFleet = function(target, position, speed) {
const coordinates = getCoordinates(target, position, speed); /* Time O(N * log(N)) | Space O(N) */
return searchDescending(coordinates); /* Time O(N) */
};
var getCoordinates = (target, position, speed) => position
.map((_position, index) => [ _position, speed[index] ]) /* Time O(N) | Space O(N) */
.sort(([ aPosition ], [ bPosition ]) => bPosition - aPosition) /* Time O(N * log(N)) | HeapSort Space 0(1) | QuickSort Space O(log(N)) */
.map(([ _position, _speed ]) => (target - _position) / _speed);/* Time O(N) | Space O(N) */
var searchDescending = (coordinates, previous = 0, fleets = 0) => {
for (const coordinate of coordinates) { /* Time O(N) */
const isPreviousLess = previous < coordinate
if (!isPreviousLess) continue
previous = coordinate
fleets++
}
return fleets;
}