java实现 100个学生,考试语文,随机得分【60,100】,考试数学,随机得分【60,80】;分为两组,保证两组分数基本持平,差值最小。 如果分为3组,保证随机两组分数基本持平,差值最小
时间: 2024-01-02 19:04:20 浏览: 42
好的,这是一个比较有趣的问题,需要一些数学和编程的技巧来解决。以下是我给出的Java实现方案:
首先,我们需要定义一个学生类,包含学生的姓名、语文成绩和数学成绩:
```java
class Student {
String name;
int chineseScore;
int mathScore;
public Student(String name, int chineseScore, int mathScore) {
this.name = name;
this.chineseScore = chineseScore;
this.mathScore = mathScore;
}
}
```
然后,我们需要生成100个随机学生,每个学生的语文成绩在60到100之间随机生成,数学成绩在60到80之间随机生成:
```java
List<Student> students = new ArrayList<>();
Random random = new Random();
for (int i = 1; i <= 100; i++) {
int chineseScore = random.nextInt(41) + 60;
int mathScore = random.nextInt(21) + 60;
students.add(new Student("Student " + i, chineseScore, mathScore));
}
```
接着,我们可以按照语文成绩或数学成绩对学生进行排序,然后将他们分成两组。为了保证两组分数基本持平,我们可以采用贪心算法,即从总分最高的学生开始,依次将学生加入两组中总分较低的一组。为了保证差值最小,我们可以计算两组总分的差值,每次加入学生后更新差值,最终得到最小的差值。以下是分成两组的代码实现:
```java
students.sort(Comparator.comparingInt(s -> s.chineseScore));
List<Student> group1 = new ArrayList<>();
List<Student> group2 = new ArrayList<>();
int totalScore1 = 0;
int totalScore2 = 0;
for (int i = students.size() - 1; i >= 0; i--) {
Student student = students.get(i);
if (totalScore1 <= totalScore2) {
group1.add(student);
totalScore1 += student.chineseScore + student.mathScore;
} else {
group2.add(student);
totalScore2 += student.chineseScore + student.mathScore;
}
}
int diff = Math.abs(totalScore1 - totalScore2);
```
最后,如果需要将学生分成三组,我们可以先将学生按照语文成绩或数学成绩排序,然后枚举第一组和第二组的分界点,计算两组的总分差值,选择差值最小的分界点。然后再将第二组和第三组的分界点枚举一遍,选择差值最小的分界点。以下是分成三组的代码实现:
```java
students.sort(Comparator.comparingInt(s -> s.chineseScore));
int minDiff = Integer.MAX_VALUE;
List<Student> group1 = new ArrayList<>();
List<Student> group2 = new ArrayList<>();
List<Student> group3 = new ArrayList<>();
for (int i = 0; i < students.size() - 1; i++) {
for (int j = i + 1; j < students.size(); j++) {
group1.clear();
group2.clear();
group3.clear();
int totalScore1 = 0;
int totalScore2 = 0;
int totalScore3 = 0;
for (int k = students.size() - 1; k >= 0; k--) {
Student student = students.get(k);
if (k >= j) {
group3.add(student);
totalScore3 += student.chineseScore + student.mathScore;
} else if (k >= i) {
group2.add(student);
totalScore2 += student.chineseScore + student.mathScore;
} else {
group1.add(student);
totalScore1 += student.chineseScore + student.mathScore;
}
}
int diff1 = Math.abs(totalScore1 - totalScore2);
int diff2 = Math.abs(totalScore2 - totalScore3);
int diff = diff1 + diff2;
if (diff < minDiff) {
minDiff = diff;
}
}
}
```
希望这个方案可以帮到你。
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