C语言利用分治法求一组数据中的最大的两个数和最小的两个数
时间: 2023-10-29 11:09:29 浏览: 91
求一组数组的两个最大值和两个最小值 分治法
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好的,关于你提出的问题,可以考虑采用分治法实现。具体步骤如下:
1. 将数组分成两个大小相等的子数组,分别计算每个子数组的最大值和最小值。
2. 将每个子数组的最大值和最小值与全局的最大值和最小值进行比较,更新全局最大值和最小值。
3. 递归地处理每个子数组,直到处理到单个元素为止。
具体的C语言代码示例如下:
```
#include <stdio.h>
void findMinMax(int arr[], int low, int high, int* max1, int* max2, int* min1, int* min2) {
if (high - low == 1) {
if (arr[low] > arr[high]) {
*max1 = arr[low];
*min1 = arr[high];
}
else {
*max1 = arr[high];
*min1 = arr[low];
}
*max2 = *min1;
*min2 = *max1;
}
else if (high - low == 2) {
if (arr[low] < arr[high]) {
*min1 = arr[low];
*max1 = arr[high];
}
else {
*min1 = arr[high];
*max1 = arr[low];
}
if (arr[low+1] < *min1) {
*min2 = arr[low+1];
*max2 = *max1;
}
else if (arr[low+1] > *max1) {
*max2 = arr[low+1];
*min2 = *min1;
}
else {
*max2 = *max1;
*min2 = *min1;
}
}
else {
int mid = (low + high) / 2;
int max1_left, max2_left, min1_left, min2_left, max1_right, max2_right, min1_right, min2_right;
findMinMax(arr, low, mid, &max1_left, &max2_left, &min1_left, &min2_left);
findMinMax(arr, mid+1, high, &max1_right, &max2_right, &min1_right, &min2_right);
if (max1_left > max1_right) {
*max1 = max1_left;
*max2 = (max2_left > max1_right) ? max2_left : max1_right;
}
else {
*max1 = max1_right;
*max2 = (max2_right > max1_left) ? max2_right : max1_left;
}
if (min1_left < min1_right) {
*min1 = min1_left;
*min2 = (min2_left < min1_right) ? min2_left : min1_right;
}
else {
*min1 = min1_right;
*min2 = (min2_right < min1_left) ? min2_right : min1_left;
}
}
}
int main() {
int arr[] = {10, 23, 13, 49, 28, 37, 11, 52};
int max1, max2, min1, min2;
findMinMax(arr, 0, 7, &max1, &max2, &min1, &min2);
printf("Max1: %d\n", max1);
printf("Max2: %d\n", max2);
printf("Min1: %d\n", min1);
printf("Min2: %d\n", min2);
return 0;
}
```
希望这能帮到你。如果有其他问题,请继续提出。
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