随笔记录
算法-贪心-做项目获得最大收益
2022-4-18 diaba
package com.jiucaiyuan.net.question;

import java.util.Comparator;
import java.util.PriorityQueue;

/**
* 【问题】做一个项目,有成本,也有利润,一堆项目,如何选择做,实现收益最大?
* 【思路】把所有项目,按照成本放入小根堆,从小根堆中拿出可以做的项目,然后按照利润放入大跟堆,开始先做大根堆的对顶项目
*
* @Author jiucaiyuan 2022/4/18 23:10
* @mail services@jiucaiyuan.net
*/
public class MaxProfits {
public static class Node {
public int cost;
public int profit;

public Node(int cost, int profit) {
this.cost = cost;
this.profit = profit;
}
}

public static class MinCostComparator implements Comparator<Node> {
@Override
public int compare(Node node1, Node node2) {
return node1.cost - node2.cost;
}
}

public static class MaxProfitComparator implements Comparator<Node> {
@Override
public int compare(Node node1, Node node2) {
return node2.profit - node1.profit;
}
}

/**
* 没做完一个项目,马上获得收益,可以支持继续做下一个项目,输出最后获得的最大钱数
*
* @param k 只能串行,最多做k个项目
* @param w 初始资金
* @param profits profits[i]是i号项目扣除成本后还能剩下的钱(利润)
* @param costs costs[i]是i号项目的花费
* @return
*/
public static int findMaximizedCapital(int k, int w, int[] profits, int[] costs) {
PriorityQueue<Node> minCostQueue = new PriorityQueue<>(new MinCostComparator());
PriorityQueue<Node> maxProfitQueue = new PriorityQueue<>(new MaxProfitComparator());
//所有项目扔到锁定池中,按照花费组织的小根堆
for (int i = 0; i < profits.length; i++) {
minCostQueue.add(new Node(costs[i], profits[i]));
}
for (int i = 0; i < k; i++) { //进行k轮
//能力所及的项目,全部解锁
while (!minCostQueue.isEmpty() && minCostQueue.peek().cost < w) {
maxProfitQueue.add(minCostQueue.poll());
}
if (maxProfitQueue.isEmpty()) {
return w;
}
w += maxProfitQueue.poll().profit;
}
return w;
}

public static void main(String[] args) {
int[] profits = {1, 2, 3, 5, 3, 2, 1, 4, 54, 5};
int[] costs = {1, 1, 1, 1, 1, 12, 2, 1, 2, 1};
System.out.println(findMaximizedCapital(10, 5, profits, costs));
}
}
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