在此程序中,我们需要实现二进制搜索以找到数组中搜索序列的存在。二进制搜索的时间复杂度为O(log(n))。
Begin BinarySearch() function has ‘arr’ the array of data and ‘n’ the number of values, start and end index, iteration count and b[0] be the element to be searched in the argument list. Increment the iteration counter and compare the item value with the a[mid]. If item < a[mid] choose first half otherwise second half to proceed further. Return index value to main. In main(), sequentially compare the remaining items of search sequence to next items in the array. Print the index range of the sequence found. End.
#include<iostream> using namespace std; int BinarySearch(int a[], int start, int end, int item, int iter) { int i, mid; iter++; mid = start+ (end-start+1)/2; if(item > a[end] || item < a[start] || mid == end) { cout<<"\nNot found"; return -1; } else if(item == a[mid]) { return mid; } else if(item == a[start]) { return start; } else if(item == a[end]) { return end; } else if(item > a[mid]) BinarySearch(a, mid, end, item, iter); else BinarySearch(a, start, mid, item, iter); } int main() { int n, i, flag=0, Bin, len = 9, a[10]={1, 7, 15, 26, 29, 35, 38, 40, 49, 51}; cout<<"\nEnter the number of element in the search sequence: "; cin>>n; int b[n]; for(i = 0; i < n; i++) { cin>>b[i]; } Bin = BinarySearch(a, 0, len, b[0], 0); if (Bin == -1) { cout<<"\nNot found."; return 0; } else { for(i = Bin; i < n+Bin; i++) if(a[i] != b[i-Bin]) flag = 4; if(flag == 4) cout<<"\nNot found."; else cout<<"\nSequence found between index "<<Bin<<" and "<<Bin+n<<"."; } return 0; }
输出结果
Enter the number of element in the search sequence: 4 15 26 29 35 Sequence found between index 2 and 6.