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| 1 | +package com.fishercoder.solutions; |
| 2 | + |
| 3 | +import java.util.Arrays; |
| 4 | +import java.util.PriorityQueue; |
| 5 | + |
| 6 | +/** |
| 7 | + * 630. Course Schedule III |
| 8 | + * |
| 9 | + * There are n different online courses numbered from 1 to n. |
| 10 | + * Each course has some duration(course length) t and closed on dth day. |
| 11 | + * A course should be taken continuously for t days and must be finished before or on the dth day. You will start at the 1st day. |
| 12 | +
|
| 13 | + Given n online courses represented by pairs (t,d), your task is to find the maximal number of courses that can be taken. |
| 14 | +
|
| 15 | + Example: |
| 16 | + Input: [[100, 200], [200, 1300], [1000, 1250], [2000, 3200]] |
| 17 | + Output: 3 |
| 18 | +
|
| 19 | + Explanation: |
| 20 | + There're totally 4 courses, but you can take 3 courses at most: |
| 21 | + First, take the 1st course, it costs 100 days so you will finish it on the 100th day, and ready to take the next course on the 101st day. |
| 22 | + Second, take the 3rd course, it costs 1000 days so you will finish it on the 1100th day, and ready to take the next course on the 1101st day. |
| 23 | + Third, take the 2nd course, it costs 200 days so you will finish it on the 1300th day. |
| 24 | + The 4th course cannot be taken now, since you will finish it on the 3300th day, which exceeds the closed date. |
| 25 | +
|
| 26 | + Note: |
| 27 | + The integer 1 <= d, t, n <= 10,000. |
| 28 | + You can't take two courses simultaneously. |
| 29 | + */ |
| 30 | +public class _630 { |
| 31 | + /**Reference: https://discuss.leetcode.com/topic/93790/short-java-code-using-priorityqueue |
| 32 | + * Sort by finish date!!! This is greedy! We should take those classes that finish early first.*/ |
| 33 | + public int scheduleCourse(int[][] courses) { |
| 34 | + Arrays.sort(courses, (a,b) -> a[1] - b[1]); |
| 35 | + int day = 0; |
| 36 | + PriorityQueue<Integer> maxHeap = new PriorityQueue<>((a, b) -> b - a); |
| 37 | + for (int[] course : courses) { |
| 38 | + day += course[0]; |
| 39 | + maxHeap.offer(course[0]); |
| 40 | + if (day > course[1]) { |
| 41 | + day -= maxHeap.poll();//drop the previous courses that took the most time |
| 42 | + } |
| 43 | + } |
| 44 | + return maxHeap.size(); |
| 45 | + } |
| 46 | + |
| 47 | + public static void main(String... args) { |
| 48 | + _630 test = new _630(); |
| 49 | + int[][] courses = new int[][]{ |
| 50 | + {100, 200}, |
| 51 | + {200, 1300}, |
| 52 | + {1000, 1250}, |
| 53 | + {2000, 3200}, |
| 54 | + {300, 1200} |
| 55 | + }; |
| 56 | + test.scheduleCourse(courses); |
| 57 | + System.out.println("Finished.."); |
| 58 | + } |
| 59 | +} |
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