#include <bits/stdc++.h>

using i64 = long long;
using u64 = unsigned long long;
using u32 = unsigned;
using u128 = unsigned __int128;

i64 get(i64 n) {
    if (n % 4 == 0) {
        return 0;
    } else if (n % 4 == 1) {
        return n - 1;
    } else if (n % 4 == 2) {
        return 1;
    } else if (n % 4 == 3) {
        return n;
    }
}

void solve() {
    i64 L, R, S;
    std::cin >> L >> R >> S;
    
    i64 ans = -1;
    for (i64 l = L; l <= std::min(R, L + 8); l++) {
        for (i64 r = R; r >= std::max(l, R - 8); r--) {
            if ((get(r + 1) ^ get(l)) <= S) {
                ans = std::max(ans, r - l + 1);
            }
        }
    }
    std::cout << ans << "\n";
}

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    
    int t;
    std::cin >> t;
    
    while (t--) {
        solve();
    }
    
    return 0;
}