#include using namespace std; void finish(long long ans) { cout << ans << endl; exit(0); } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; long long l, r; cin >> l >> r; vector as(n); for (int i = 0; i < n; i++) cin >> as[i]; vector fix(62); vector> kukan = {{0, n - 1}}; auto get_type = [](const vector &nums) -> int { // 各区間が全部0...1ならreturn 0 // 全部1...0ならreturn 1 // 全部同じならreturn 2 // そうでないならreturn 3 if (nums.size() == 1) return 2; vector dif; for (int i = 1; i < nums.size(); i++) { if (nums[i] != nums[i - 1]) { dif.push_back(i); } } if (dif.empty()) return 2; if (dif.size() > 1) return 3; if (nums[0] == 0) return 0; return 1; }; auto hoge = [&](int k) -> int { // 全部が2ならreturn 2 // 0と2ならreturn 0 // 1と2ならreturn 1 // そうでないならreturn 3 int types = 0; vector> nxt; for (auto &p : kukan) { vector nums; for (int i = p.first; i <= p.second; i++) { nums.push_back(as[i] >> k & 1); } int type = get_type(nums); if (type == 3) { finish(0); } if (type == 0 || type == 1) { int dif = -1; for (int i = 1; i < nums.size(); i++) { if (nums[i] != nums[i - 1]) { dif = i; break; } } nxt.emplace_back(p.first, p.first + dif - 1); nxt.emplace_back(p.first + dif, p.second); } else { nxt.emplace_back(p); } types |= 1 << type; } swap(kukan, nxt); if (types == 4) return 2; if (types == 5 || types == 1) return 0; if (types == 6 || types == 2) return 1; finish(0); return -1; }; for (int i = 61; i >= 0; i--) { fix[61 - i] = hoge(i); } // r以下の数で、k bit目をfix[k]にしたものの個数 auto f = [&](long long r) -> long long { if (r == -1) return 0; // dp[i][j]: i桁見て、r未満確定か vector> dp(63, vector(2)); dp[0][0] = 1; for (int i = 0; i < 62; i++) { // fixが2なら自由に選べる // fixが0なら0を入れる // fixが1なら1を入れる vector can; if (fix[i] == 0) can = {0}; else if (fix[i] == 1) can = {1}; else can = {0, 1}; int bit = r >> (61 - i) & 1; for (int j = 0; j < 2; j++) { for (int k : can) { if (!j && k > bit) continue; dp[i + 1][j || k < bit] += dp[i][j]; } } } return dp[62][0] + dp[62][1]; }; cout << f(r) - f(l - 1) << endl; }