#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 (0<m<231)(0<m<2^{31}) 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. ①处应填( ){{ select(1) }}
  • lbound<rbound
  • lbound+1<rbound
  • lbound<=rbound
  • rbound - lbound > 1
  1. ②处应填( ){{ select(2) }}
  • int count=0
  • int p=0
  • int count=1
  • int p=1
  1. ③处应填( ){{ select(3) }}
  • x[i]>x[p]
  • x[i]>=x[p]
  • mid<x[i]
  • x[mid]>i
  1. ④处应填( ){{ select(4) }}
  • p=i
  • p=max(p,i)
  • count*=1
  • count++
  1. ⑤处应填( ){{ select(5) }}
  • mid=rbound
  • rbound=mid+1
  • rbound=mid
  • rbound=mid-1