[C++] String Comparison

#include <iostream>
#include <string>
#include <cstdlib>

int main(){
    using namespace std;

    string name[10];
    int people;
    string min, max;

    cout << "How many people are there (1 to 10)? "<<endl;
    cin  >> people;

    while(people<1 || people>10){
        cout<<"Maximum size should be between 1 and 10."<<endl;
        cout<<"Please re-enter the number of people:"<<endl; cin>>people;
    }

    cout<<"Enter person 1's name :"<<endl;
    cin>>name[0];

    for(int i=0; i<people-1; i++){
        cout << "Enter the next person's name"<<endl;
        cin  >> name[i+1];

        if(i == 0){
            if(name[i].compare(name[i+1]) > 0){
                max = name[i];
                min = name[i+1];
            }
            else if(name[i].compare(name[i+1]) < 0){
                max = name[i+1];
                min = name[i];
            }
        }
        else{
            if(name[i+1].compare(max) > 0){
                    max = name[i+1];
            }
            else if(name[i+1].compare(min) < 0){
                min = name[i+1];
            }
        }
    }

    cout << min << " is at the head of the line" << endl;
    cout << max << " is at the end of the line" << endl;

    system("pause");
}