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- #include <bits/stdc++.h>
- using namespace std;
- mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());
- #define NeedForSpeed \
- ios_base::sync_with_stdio(false); \
- cin.tie(NULL); \
- cout.tie(NULL);
- #define int long long
- #define all(x) (x).begin(), (x).end()
- typedef vector<int> vi;
- typedef vector<bool> vb;
- typedef vector<vi> vvi;
- typedef vector<pair<int, int>> vpi;
- #define f first
- #define s second
- const int mod = 1000000007;
- int findXOR(int n)
- {
- int mod = n % 4;
- if (mod == 0)
- return n;
- else if (mod == 1)
- return 1;
- else if (mod == 2)
- return n + 1;
- else
- return 0;
- }
- int findXOR(int l, int r)
- {
- return findXOR(l - 1) ^ findXOR(r);
- }
- void solve()
- {
- int l, r, i, k;
- cin >> l >> r >> i >> k;
- if (i == 0)
- {
- cout << 0 << endl;
- return;
- }
- int step = 1LL << i;
- int leftmod = l % (1LL << i);
- int firstocc = l + (k - leftmod);
- if (firstocc < l)
- {
- firstocc += (1LL << i);
- }
- int rightmod = r % (1LL << i);
- int lastocc = r + (k - rightmod);
- if (lastocc > r)
- {
- lastocc -= (1LL << i);
- }
- // edge case when only 1 element occurs in the range
- if (firstocc > r || lastocc < l)
- {
- if ((firstocc != lastocc))
- {
- cout << ((findXOR(l - 1) ^ findXOR(r))) << endl;
- return;
- }
- else
- {
- cout << ((findXOR(l - 1) ^ findXOR(r)) ^ k) << endl;
- return;
- }
- }
- int start = 0;
- if (l - k > 0)
- {
- start = ((l - k) + step - 1) / step;
- }
- int end = max(0LL, (r - k) / step);
- int XOR = (findXOR(start - 1) ^ findXOR(end)) << i;
- if ((end - start + 1) % 2 == 1)
- {
- XOR ^= k;
- }
- cout << (findXOR(l - 1) ^ findXOR(r) ^ XOR) << endl;
- }
- signed main()
- {
- NeedForSpeed;
- int t;
- cin >> t;
- while (t--)
- solve();
- return 0;
- }
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