C++ Segmentation fault (core dumped) when assigning a struct-based array variable [duplicate]

I'm trying to assign a name to a person using structs. The first input is the number n of people, then I create an array of people of size n and then assign a name to each i-nth person:

#include <iostream>
#include <algorithm>

using namespace std;

struct person{
    string name;
};  

int main(){
    int n;
    cin>>n;
    person people[n];

    for(int i=0; i<n; i++){
        cin>>people[n].name;
    }

    for(int i=0; i<n; i++){
        cout<<people[i].name<<"\n";
    }

}

So it was supposed to assign names to, for example, 3 people. But I'm getting the following error after assigning a name to the first person:

3
John
Segmentation fault (core dumped)

What am I doing wrong?