#include #include #include #include #include #define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() const int INF = 0x3f3f3f3f; const long long LINF = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-8; const int MOD = 1000000007; // 998244353; const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; struct IoSetup { IoSetup() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(10); } } iosetup; /*-------------------------------------------------*/ int main() { int n; long long l, r; cin >> n >> l >> r; vector a(n); REP(i, n) cin >> a[i]; vector digit(61, -1), sec{0, n}; for (int bit = 60; bit >= 0; --bit) { // for (int e : sec) cout << e << ' '; // cout << '\n'; vector nx; if (!sec.empty()) { for (int i = 0; i < sec.size(); i += 2) { int l = sec[i], r = sec[i + 1]; if (a[l] >> bit & 1) { int zero = -1; FOR(j, l + 1, r) { if (!(a[j] >> bit & 1)) { if (zero == -1) zero = j; } else { if (zero != -1) { cout << 0 << '\n'; return 0; } } } if (zero == -1) { nx.emplace_back(l); nx.emplace_back(r); } else { if (digit[bit] == 0) { cout << 0 << '\n'; return 0; } digit[bit] = 1; if (zero - l > 1) { nx.emplace_back(l); nx.emplace_back(zero); } if (r - zero > 1) { nx.emplace_back(zero); nx.emplace_back(r); } } } else { int zero = -1; FOR(j, l + 1, r) { if (!(a[j] >> bit & 1)) { if (zero != -1) { cout << 0 << '\n'; return 0; } } else { if (zero == -1) zero = j; } } if (zero == -1) { nx.emplace_back(l); nx.emplace_back(r); } else { if (digit[bit] == 1) { cout << 0 << '\n'; return 0; } digit[bit] = 0; if (zero - l > 1) { nx.emplace_back(l); nx.emplace_back(zero); } if (r - zero > 1) { nx.emplace_back(zero); nx.emplace_back(r); } } } } } swap(sec, nx); } long long dp[62][2][2] = {}; dp[61][false][false] = 1; for (int i = 60; i >= 0; --i) REP(j, 2) REP(k, 2) { if (digit[i] == 0 || digit[i] == -1) { if (j == 1 || !(l >> i & 1)) { bool nx_k = k; nx_k |= (r >> i & 1); dp[i][j][nx_k] += dp[i + 1][j][k]; } } if (digit[i] == 1 || digit[i] == -1) { if (k == 1 || (r >> i & 1)) { bool nx_j = j; nx_j |= !(l >> i & 1); dp[i][nx_j][k] += dp[i + 1][j][k]; } } } long long ans = 0; REP(j, 2) REP(k, 2) ans += dp[0][j][k]; cout << ans << '\n'; return 0; }