#include<stdio.h>
int Binary_Search(int *a,int n, int key)
{
int low,high,mid;
low = 0;
high = n;
while(low<=high)
{
mid = low +(high-low)*(key-a[low])/(a[high] - a[low]);//插值查找
//mid = (low+high)/2; //折半查找
if(key<a[mid])
high = mid - 1;
else if(key>a[mid])
low = mid + 1;
else return mid;
}
return 0;
}
int main()
{
int a[] = {0,1,16,24,35,47,59,62,73,88,99};
int b = Binary_Search(a,11,62);
printf("key值的位置是:%d",b );
printf("\n\n");
}
上面是折半查找和插值查找,折半查找的前提条件是需要有序表存储,时间复杂度为O(logn),它显然好于顺序查找的O(n)时间复杂度。但对于频繁执行插入或删除操作的数据来书,不建议使用
/*斐波那契查找*/
int Fibonacci_Search(int *a,int n,int key)
{
int low,high,mid,i,k;
low=1;
high=n;
k=0;
while(n>F[k]-1)
{
k++;
}
for(i=n; i<F[k]-1; i++)
{
a[i] = a[n];
}
while(low<high)
{
mid = low+F[k-1] -1;
if(key<a[mid])
{
high = mid-1;
k = k-1;
}
else if(key>a[mid])
{
low=mid+1;
k=k-2;
}
else
{
if(mid<n)
return mid;
else
return n;
}
}
return 0;
}