#include #include #include using namespace std; using namespace __gnu_pbds; template using treap = tree, rb_tree_tag, tree_order_statistics_node_update>; using Int = long long; #define REP(i, n) for (long long i = 0, max_i = (n); i < max_i; i++) #define REPI(i, a, b) for (long long i = (a), max_i = (b); i < max_i; i++) #define ALL(obj) begin(obj), end(obj) #define RALL(obj) rbegin(obj), rend(obj) #define fi first #define se second using ii = pair; vector dirs = { {1, 0}, {0, 1}, {-1, 0}, {0, -1}, // 4方向 {1, 1}, {-1, 1}, {-1, -1}, {1, -1}, // 斜め {0, 0}, // 自身 }; Int get_msb(long long x) { assert(x != 0); return 63 - __builtin_clzll(x); } Int get_lsb(long long x) { assert(x != 0); return __builtin_ctzll(x); } template inline bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T& a, const T& b) { if (a > b) { a = b; return true; } return false; } template vector make_vec(size_t n, S x) { return vector(n, x); } template auto make_vec(size_t n, Ts... ts) { return vector(ts...))>(n, make_vec(ts...)); } // debug template ostream& operator<<(ostream& s, const vector& d) { REP (i, d.size()) s << d[i] << (i == d.size() - 1 ? "" : " "); return s; } template ostream& operator<<(ostream& s, const vector>& d) { REP (i, d.size()) s << d[i] << (i == d.size() - 1 ? "" : "\n"); return s; } template ostream& operator<<(ostream& s, const pair& p) { s << "{" << p.first << ", " << p.second << "}"; return s; } template ostream& operator<<(ostream& s, const set m) { for (auto it = m.begin(); it != m.end(); it++) { s << *it << (next(it) == m.end() ? "" : "\n"); } return s; } template ostream& operator<<(ostream& s, const multiset m) { for (auto it = m.begin(); it != m.end(); it++) { s << *it << (next(it) == m.end() ? "" : "\n"); } return s; } template ostream& operator<<(ostream& s, const map m) { for (auto it = m.begin(); it != m.end(); it++) { s << *it << (next(it) == m.end() ? "" : "\n"); } return s; } template ostream& operator<<(ostream& s, const unordered_map m) { for (auto it = m.begin(); it != m.end(); it++) { s << *it << (next(it) == m.end() ? "" : "\n"); } return s; } #ifdef _MY_DEBUG #define dump(...) cerr << "/* " << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << endl, dump_func(__VA_ARGS__), cerr << "*/\n\n"; #else #define dump(...) #define endl "\n" #endif void dump_func() { cerr << endl; } template void dump_func(Head&& h, Tail&&... t) { cerr << h << (sizeof...(Tail) == 0 ? "" : ", "), dump_func(forward(t)...); } struct Fast { Fast() { cin.tie(nullptr); ios::sync_with_stdio(false); } } fast; mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count()); constexpr Int MOD = 1000000007; // *************** TEMPLATE END *************** void no() { cout << 0 << endl; exit(0); } constexpr Int K = 62; signed main() { Int n, L, R; cin >> n >> L >> R; vector a(n); REP (i, n) cin >> a[i]; vector bits(K, -1); vector ok(n); ok[n - 1] = true; for (Int k = K - 1; k >= 0; k--) { Int i = 0; Int prv = -1; while (i < n) { Int state = -1; while (1) { Int bit = a[i] >> k & 1; if (state == -1) { state = bit; } else if (state == 0) { if (bit == 1) { state = 3; ok[i - 1] = true; if (prv != -1 && prv != state) no(); prv = state; } } else if (state == 1) { if (bit == 0) { state = 2; ok[i - 1] = true; if (prv != -1 && prv != state) no(); prv = state; } } else if (state == 2) { if (bit == 1) no(); } else if (state == 3) { if (bit == 0) no(); } else assert(0); if (ok[i++]) break; } } if (prv == 2) bits[k] = 1; if (prv == 3) bits[k] = 0; } REP (i, n) { if (!ok[i]) no(); } auto dp = make_vec(K + 1, 2, 2, 0); dp[K][0][0] = 1; for (Int k = K - 1; k >= 0; k--) { Int l = L >> k & 1; Int r = R >> k & 1; REP (x, 2) { REP (y, 2) { REPI (d, x ? 0 : l, (y ? 1 : r) + 1) { if (bits[k] == 0 && d == 1) continue; if (bits[k] == 1 && d == 0) continue; dp[k][x | d > l][y | d < r] += dp[k + 1][x][y]; } } } } Int ans = 0; REP (x, 2) { REP (y, 2) { ans += dp[0][x][y]; } } cout << ans << endl; }