Question number: | 201612-1 |
Question name: | middle number |
time limit: | 1.0s |
Memory limit: | 256.0MB |
Problem Description: |
Problem Description
In a sequence of integers
a
1
,
a
2
, …,
an n
, if there is a number, the number of integers greater than it is equal to the number of integers less than it, it is called an intermediate number. In a sequence, there may be multiple intermediate numbers with different subscripts, and the values of these intermediate numbers are the same.
Given a sequence of integers, find the value of the middle number of this sequence of integers.
input format
The first line of input contains an integer
n
, the number of numbers in the sequence of integers.
The second line contains n positive integers representing a 1 , a 2 , …, a n in order .
output format
If the middle number of the agreed sequence exists, output the value of the middle number, otherwise output -1 to indicate that there is no middle number.
sample input
6
2 6 5 6 3 5
Sample output
5
Sample description
There are 2 numbers smaller than 5 and 2 numbers larger than 5.
sample input
4
3 4 6 7
Sample output
-1
Sample description
None of the 4 numbers in the sequence satisfy the definition of an intermediate number.
sample input
5
3 4 6 6 7
Sample output
-1
Sample description
None of the 5 numbers in the sequence satisfy the definition of a middle number.
Evaluate use case size and conventions
For all evaluation cases, 1 ≤
n
≤ 1000, 1 ≤
a i
≤ 1000.
|
code
C++
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
void computer_min_max_sum(int &min,int &max,int middle,int n,vector<int> &number)
{
for(int i=0;i<middle;i++)
{
if(number[i]<number[middle])
min++;
}
for(int i=middle;i<n;i++)
{
if(number[i]>number[middle])
max++;
}
}
int main(int argc, char** argv) {
int n,temp,middle;
int min=0,max=0;
int result=-1;
vector<int> number;
cin>>n;
//输入
for(int i=0;i<n;i++)
{
cin>>temp;
number.push_back(temp);
}
//排序
stable_sort(number.begin(),number.end());
middle=n/2;
//如果是偶数
if(n%2==0)
{
//中间两个数相同
if(number[middle]==number[middle-1])
{
//计算小于数数量 大于数数量
computer_min_max_sum(min,max,middle,n,number);
if(min==max)
result=number[middle];
}
else
result=-1;
}else{//如果是奇数
//计算小于数数量 大于数数量
computer_min_max_sum(min,max,middle,n,number);
if(min==max)
result=number[middle];
else
result=-1;
}
cout<<result;
return 0;
}