L1-056 Guess the number (20 points) [PTA] [Analog]

A group of people sit together, each guess a number within 100, and the one whose number is closest to half of everyone's average wins. This question requires you to find the winner among them.

Input format:

Enter a positive integer N (≤10​4​​) in the first line. Next N lines, each line gives a player's name (a string consisting of no more than 8 English letters) and the guessed positive integer (≤ 100).

Output format:

Sequential output on a line: half of the average of everyone (only the integer part is output), the name of the winner, separated by a space. The title guarantees that the winner is unique.

Input sample:

7
Bob 35
Amy 28
James 98
Alice 11
Jack 45
Smith 33
Chris 62

Sample output:

22 Amy

#include<iostream>
#include<cmath>
#include<algorithm>
#include<cstring>
#include<queue>
using namespace std;
typedef long long ll;
const int INF=0x3f3f3f;
priority_queue<int,vector<int>,greater<int>>q;
 
const int mod=10e9+7;

int main()
{
    int N;
    cin>>N;
    pair<string,int>p[10100];
    ll sum=0;
    for(int i=0;i<N;i++)
    {
        cin>>p[i].first>>p[i].second;
        sum+=p[i].second;
    }
    ll mid_aver=(sum/N)/2;
    ll gap=INF;
    string winner="";
    for(int i=0;i<N;i++)
    {
        if(abs(p[i].second-mid_aver)<gap)
        {
            gap=abs(p[i].second-mid_aver);
            winner=p[i].first;
        }
    }
    cout<<mid_aver<<" "<<winner;
    return 0;
}