#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,fma,bmi,bmi2,popcnt,lzcnt")
#include<bits/stdc++.h>
// #define int long long
using namespace std;
#define bit(x,i) ((x>>i)&1)
vector<int> merge(vector<int>& a,vector<int>& b){
    vector<int> res;
    set_symmetric_difference(a.begin(),a.end(),b.begin(),b.end(),back_inserter(res));
    return res;
}
struct xor_basis{
    long long basis[60]={0};
    vector<int> trace[60];
    xor_basis(){};
    int cnt=0;
    void insert(long long x,vector<int>& a){
        for(int i=59;i>=0;i--)if(bit(x,i)){
            if(basis[i]){
                x^=basis[i];
                a=merge(a,trace[i]);
            }
            else{
                cnt++;
                basis[i]=x;
                trace[i].swap(a);
                return;
            }
        }
    }
} sus;
signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int n;
    long long A=0,B=0;
    cin>>n;
    long long a[n+1],b[n+1];
    for(int i=1;i<=n;i++){
        cin>>a[i];
        A^=a[i];
    }
    vector<int> v;
    for(int i=1;i<=n;i++){
        cin>>b[i];
        B^=b[i];
        v.push_back(i);
        sus.insert(a[i]^b[i],v);
    }
    vector<int> res;
    for(int i=59;i>=0;i--)if(sus.basis[i]){
        if(bit(A,i) && bit(B,i)) continue;
        if(bit(A,i)==0 && bit(B,i)==0){
            A^=sus.basis[i];
            B^=sus.basis[i];
            res=merge(res,sus.trace[i]);
        }
        else{
            long long x=sus.basis[i]^(1LL<<i);
            vector<int> a=sus.trace[i];
            sus.basis[i]=0;
            sus.trace[i].clear();
            sus.insert(x,a);
        }
    }
    cout<<A+B<<" "<<res.size()<<'\n';
    for(int i:res) cout<<i<<" ";
}

In file included from /usr/include/c++/13/string:43,
                 from /usr/include/c++/13/bitset:52,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:52,
                 from answer.code:3:
/usr/include/c++/13/bits/allocator.h: In destructor ‘constexpr std::_Vector_base<int, std::allocator<int> >::_Vector_impl::~_Vector_impl()’:
/usr/include/c++/13/bits/allocator.h:184:7: error: inlining failed in call to ‘always_inline’ ‘constexpr std::allocator< <template-parameter-1-1> >::~allocator() noexcept [with _Tp = int]’: target specific option mismatch
  184 |       ~allocator() _GLIBCXX_NOTHROW { }
      |       ^
In file included from /usr/include/c++/13/vector:66,
                 from /usr/include/c++/13/functional:64,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:53:
/usr/include/c++/13/bits/stl_vector.h:133:14: note: called from here
  133 |       struct _Vector_impl
      |              ^~~~~~~~~~~~