//#pragma GCC optimize("Ofast,no-stack-protector")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
//#pragma GCC optimize("Ofast,fast-math")
//#pragma GCC target("avx,avx2")
//#pragma GCC optimize(2)
//#pragma GCC optimize(3)
//#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
#define int long long
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef double db;
#define F(i, a, b) for(int i = a; i <= (b); ++i)
#define F2(i, a, b) for(int i = a; i < (b); ++i)
#define dF(i, a, b) for(int i = a; i >= (b); --i)
template<typename T> void debug(string s, T x) {
	cerr << "[" << s << "] = [" << x << "]\n";
}
template<typename T, typename... Args> void debug(string s, T x, Args... args) {
	for (int i = 0, b = 0; i < (int)s.size(); i++) if (s[i] == '(' || s[i] == '{') b++;
	else if (s[i] == ')' || s[i] == '}') b--;
	else if (s[i] == ',' && b == 0) {
		cerr << "[" << s.substr(0, i) << "] = [" << x << "] | ";
		debug(s.substr(s.find_first_not_of(' ', i + 1)), args...);
		break;
	}
}
#ifdef ONLINE_JUDGE
#define Debug(...)
#else
#define Debug(...) debug(#__VA_ARGS__, __VA_ARGS__)
#endif
#define pb push_back
#define fi first
#define se second
#define Mry fprintf(stderr, "%.3lf MB\n", (&Med - &Mbe) / 1048576.0)
#define Try cerr << 1e3 * clock() / CLOCKS_PER_SEC << " ms\n";
typedef long long ll;
// namespace Fread {const int SIZE = 1 << 17; char buf[SIZE], *S, *T; inline char getchar() {if (S == T) {T = (S = buf) + fread(buf, 1, SIZE, stdin); if (S == T) return '\n';} return *S++;}}
// namespace Fwrite {const int SIZE = 1 << 17; char buf[SIZE], *S = buf, *T = buf + SIZE; inline void flush() {fwrite(buf, 1, S - buf, stdout), S = buf;} inline void putchar(char c) {*S++ = c;if (S == T) flush();} struct NTR {~NTR() {flush();}} ztr;}
// #ifdef ONLINE_JUDGE
// #define getchar Fread::getchar
// #define putchar Fwrite::putchar
// #endif
inline int ri() {
	int x = 0;
	bool t = 0;
	char c = getchar();
	while (c < '0' || c > '9') t |= c == '-', c = getchar();
	while (c >= '0' && c <= '9') x = (x << 3) + (x << 1) + (c ^ 48), c = getchar();
	return t ? -x : x;
}
inline void wi(int x) {
	if (x < 0) {
		putchar('-'), x = -x;
	}
	if (x > 9) wi(x / 10);
	putchar(x % 10 + 48);
}
inline void wi(int x, char s) {
	wi(x), putchar(s);
}
bool Mbe;
// mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
const int mod = 998244353;
const int inf = 0x3f3f3f3f;
const ll infll = 0x3f3f3f3f3f3f3f3f;
const int _ = 2e5 + 5;

int X, Y, K;

int get2(int x, int k) { // x 疑惑 (t <= k) 最小值
	bool lim = 1;
	dF(i, 59, 0) {
		int lt = (lim ? (k >> i & 1) : 1);
		int w = 0;
		if(x > (x ^ (lt << i)))  {
			x ^= (lt << i);
			w = 1;
		}
		if(lim && w < lt) lim = 0;
	}
	return x;
}

int get(int x) { // x 异或 (t<=k) 最大的<=y 的数
	bool lim = 1, lim2 = 1;
	int st = 0;
//	Debug("gt", x);
	dF(i, 59, 0) {
		int lt = (lim2 ? ((K >> i) & 1) : 1);
		int ly = (lim ? ((Y >> i) & 1) : 1);
		int w = 0;
		if(lim && lt && (x >> i) % 2 == 0 && ly) {
			if(!lim2) w = 1;
			else if(get2(x + (1ll << i), K - st - (1ll << i)) <= Y) {
				w = 1;
			}
		} else if(x < (x ^ (lt << i)) && (x ^ (lt << i)) <= Y) {
			w = 1;
		}
		x ^= (w << i);
		st ^= (w << i);
//		if(i <= 3) Debug(i, w, x);
		if(lim) {
			if((x >> i & 1) < (Y >> i & 1)) lim = 0;
		}
		if(lim2 && w < lt) lim2 = 0;
	}
	return x;
}

bool Med;
signed main() {
	// Mry;
	int T = ri();
	while(T--) {
		X = ri(), Y = ri(), K = ri();
		if(X > Y) swap(X, Y);
		if(X == Y) {
			puts("0");
			continue;
		}
		if(!K) {
			cout << Y - X << '\n';
			continue;
		}
		int ans = 0, w;
		int zkw = 0, zw2 = 0;
		while(X < Y) {
			int lst = X, fei = ans;
			while((w = get(X)) > X) {
				ans++;
				X = w;
//				Debug("xor", X);
			}
			if(X < Y) X++, ans++;
//			Debug("ad", X);
//			Debug(X,X- lst);
			zkw = X - lst, zw2 = ans - fei;
			if(ans >= 50) break;
		}
		ans += (Y - X) / zkw * zw2;
		X += zkw * ((Y - X) / zkw);
		while(X < Y) {
			while((w = get(X)) > X) {
				ans++;
				X = w;
//				Debug("xor", X);
			}
			if(X < Y) X++, ans++;
//			Debug("ad", X);
//			Debug(X,X- lst);
		}
		cout << ans << '\n';
	}
	// Try;
	return 0;
}

/*
8
4 5 0
5 8 3
9 2 6
15 28 5
97 47 8
164 275 38
114514 1919 810
0 1152921504606846975 1
548395 65746482135 667493
*/