LeetCode 455 Assign Cookies

本文探讨了如何通过排序和匹配算法解决分配饼干问题,目标是在有限的饼干大小下满足最多孩子的贪心需求。文章提供了详细的解题思路和Java代码实现。

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题目

Assume you are an awesome parent and want to give your children some cookies. But, you should give each child at most one cookie. Each child i has a greed factor gi, which is the minimum size of a cookie that the child will be content with; and each cookie j has a size sj. If sj >= gi, we can assign the cookie j to the child i, and the child i will be content. Your goal is to maximize the number of your content children and output the maximum number.

Note:
You may assume the greed factor is always positive.
You cannot assign more than one cookie to one child.

Example 1:

Input: [1,2,3], [1,1]
Output: 1
Explanation: You have 3 children and 2 cookies. The greed factors of 3 children are 1, 2, 3.
And even though you have 2 cookies, since their size is both 1, you could only make the child whose greed factor is 1 content.You need to output 1.

Example 2:

Input: [1,2], [1,2,3]
Output: 2
Explanation: You have 2 children and 3 cookies. The greed factors of 2 children are 1, 2.
You have 3 cookies and their sizes are big enough to gratify all of the children,
You need to output 2.


解法思路(一)

思路描述
  • 先把饼干数组 s 和贪心数组 g 排序;
  • 看最大的饼干能不能满足最贪心的小孩,如果能,就看次大的饼干能不能满足次贪心的孩子;
  • 如果最大的饼干不能满足最贪心的孩子,就看能不能满足次贪心的孩子;

解法实现(二)

时间复杂度:
  • O(nlogn);
空间复杂度
  • O(1);
代码实现
package leetcode._455;

import java.util.Arrays;

public class Solution455_1 {

    public int findContentChildren(int[] g, int[] s) {

        Arrays.sort(g);
        Arrays.sort(s);

        int gi = g.length - 1, si = s.length - 1;
        int res = 0;

        while(gi >= 0 && si >= 0){
            if(s[si] >= g[gi]){
                res ++;
                si --;
            }
            gi --;
        }

        return res;
    }

    public static void main(String[] args) {

        int g1[] = {1, 2, 3};
        int s1[] = {1, 1};
        System.out.println((new Solution455_1()).findContentChildren(g1, s1));

        int g2[] = {1, 2};
        int s2[] = {1, 2, 3};
        System.out.println((new Solution455_1()).findContentChildren(g2, s2));


    }

}

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