Set of Structs Missing an Element

#include <bits/stdc++.h>
using namespace std;

int dist[2];
struct cmp {
    bool operator() (const int &a, const int &b) {
        return dist[a] < dist[b];
    }
};
set<int, cmp> s;

int main() {
    dist[0] = 2;
    dist[1] = 2;
    s.insert(1);
    s.insert(0);
    for(set<int>::iterator it = s.begin(); it != s.end(); ++it) {
        cout << *it << " " << dist[*it] << endl;
    }
}

The above code outputs:

1 2

Why is this true? Should it not output:

1 2

0 2

Thank you!