資 源 簡 介
1．Describe a Θ(n lg n)-time algorithm that, given a set S of n integers and
another integer x, determines whether or not there exist two elements in S whose sum is exactly x. (Implement exercise 2.3-7.)
#include<stdio.h>
#include<stdlib.h>
void merge(int arr[],int low,int mid,int high){
int i,k;
int *tmp=(int*)malloc((high-low+1)*sizeof(int));
int left_low=low;
int left_high=mid;
int right_low=mid+1;
int right_high=high;
for(k=0;left_low<=left_high&&right_low<=right_high;k++)
{
if(arr[left_low]<=arr[right_low]){
tmp[k]=arr[left_low++];
}
else{
tmp[k]=arr[right_low++];
}
}
if(left_low<=left_high){
for(i=left_low;i<=left_high;i++){
tmp[k++]=arr[i];
}
}
if(right_low<=right_high){
for(i=right_low;i<=right_high;i++)
tmp[k++]=arr[i];
}
for(i=0;i<high-low+1;i++)
arr[low+i]=tmp[i];
}
void merge_sort(int a[],int p,int r){
int q;
if(p<r){
q=(p+r)/2;
merge_sort(a,p,q);
merge_sort(a,q+1,r);
merge(a,p,q,r);
}
}
int main(){
int a[8]={3,5,8,6,4,1,1};
int i,j;
int x=10;
merge_sort(a,0,6);
printf("after Merging-Sort:\n");
for(i=0;i<7;i++){
printf("%d",a[i]);
}
printf("\n");
i=0;j=6;
do{
if(a[i]+a[j]==x){
printf("exist");
break;
}
if(a[i]+a[j]>x)
j--;
if(a[i]+a[j]<x)
i++;
}while(i<=j);
if(i>j)
printf("not exist");
system("pause");
return 0;
}
