#CS50505. 完善程序5-分治算法-5中位数
完善程序5-分治算法-5中位数
中位数
median) 给定 n(n 为奇数且小于 1000)个整数,整数的范围在 之间,请使用二分法求这 n 个整数的中位数。所谓中位数,是指将这 n 个数排序之后,排在正中间的数。(第五空 2 分,其余 3 分)
#include <iostream>
using namespace std;
const int MAXN = 1000;
int n, i, lbound, rbound, mid, m, count;
int x[MAXN];
int main()
{
cin >> n >> m;
for (i = 0; i < n; i++)
cin >> x[i];
lbound = 0;
rbound = m;
while (①)
{
mid = (lbound + rbound) / 2;
②;
for (i = 0; i < n; i++)
if (③)
④;
if (count > n / 2)
lbound = mid + 1;
else
⑤;
cout << mid << " " << lbound << " " << rbound << " " << count << endl;
}
cout << rbound << endl;
return (0);
}
- ①处应填( ){{ select(1) }}
- lbound<rbound
- lbound+1<rbound
- lbound<=rbound
- rbound - lbound > 1
- ②处应填( ){{ select(2) }}
- int count=0
- int p=0
- int count=1
- int p=1
- ③处应填( ){{ select(3) }}
- x[i]>x[p]
- x[i]>=x[p]
- mid<x[i]
- x[mid]>i
- ④处应填( ){{ select(4) }}
- p=i
- p=max(p,i)
- count*=1
- count++
- ⑤处应填( ){{ select(5) }}
- mid=rbound
- rbound=mid+1
- rbound=mid
- rbound=mid-1