关于二分法查找,也经常称折半查找,思想就是“分而治之”,网上有很多资料,给出维基百科上的链接(https://zh.wikipedia.org/wiki/%E6%8A%98%E5%8D%8A%E6%90%9C%E7%B4%A2%E7%AE%97%E6%B3%95,http://www.codecodex.com/wiki/Binary_search),本文不作赘述。下面给出二分查找的非递归和递归的算法。
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#include<iostream>
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using namespace std;
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int search(int *, int, int);
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int searchfdg(int *, int, int, int);
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int search(int *arra, int key, int high) {
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int low = 0;
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while (low <= high)
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{
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int mid = (low + high) / 2;
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if (arra[mid] == key) {
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return mid;
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}else if (arra[mid] > key) {
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high = mid - 1;
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}else
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low = mid + 1;
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}
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cout << "元素不存在!";
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return -1;
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}
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int searchfdg(int *arra, int key,int low,int high) {
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if (low <= high)
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{
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int mid = (low + high) / 2;
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if (key == arra[mid]){
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return mid;
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}
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else if (key < arra[mid]) {
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return searchfdg(arra, key, low, mid - 1);
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}else if (key > arra[mid])
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low = mid + 1;
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return searchfdg(arra, key, mid+1,high);
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}
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else
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cout << "元素不存在!";
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return -1;
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}
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int main() {
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int arra[] = {3,5,9,14,17,23,29,33,37 };
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int size = sizeof(arra) / sizeof(int);
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cout << "非递归查找的元素在数组中的位置是:" << endl;
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cout << search(arra, 33, size-1) << endl;
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cout << "递归查找的元素在数组中的位置是:" << endl;
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cout << searchfdg(arra, 33, 0,size-1) << endl; //注意此时的low和high的值
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}
运行结果:
来自 “ ITPUB博客 ” ,链接:https://blog.itpub.net/29876893/viewspace-1868404/
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