// #define OJ
// #define TEST
#include <bits/stdc++.h>
using namespace std;
#ifdef OJ
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
#ifndef ALY
#define ALY
static int __star = []{
ios_base::sync_with_stdio(0);
cin.tie(NULL),cout.tie(NULL);
return 0;
}();
using ll = long long;
using ull = unsigned long long;
using uint = unsigned int;
using u8 = uint8_t;
using u16 = uint16_t;
using u32 = uint32_t;
using u64 = uint64_t;
using in8 = uint8_t;
using in16 = uint16_t;
using in32 = uint32_t;
using in64 = uint64_t;
using db = long double;
using str = string;
using pi = pair<int,int>;
using pl = pair<ll,ll>;
#define mp make_pair
#define f first
#define s second
#define vcA template<class A
vcA> using V = vector<A>;
vcA> using MAT = V<V<A>>;
using vi = V<int>;
using vb = V<bool>;
using vl = V<ll>;
using vd = V<db>;
using vs = V<str>;
using vpi = V<pi>;
using vpl = V<pl>;
using mat = V<vi>;
using matl = V<vl>;
#define sz(x) int((x).size())
#define bg(x) begin(x)
#define rbg(x) rbegin(x)
#define ed(x) end(x)
#define all(x) begin(x), end(x)
#define pfr(x, a) begin(x), begin(x) + a
#define rall(x) x.rbegin(), x.rend()
#define srt(x) sort(all(x))
#define nth(x, a) nth_element(pfr(x, a), ed(x))
#define npp(x) next_permutation(all(x))
#define shl(x, a) ((x) << (a))
#define shr(x, a) ((x) >> (a))
#define pb push_back
#define pf push_front
#define eb emplace_back
#define em empty()
#define ft front()
#define bk back()
#define ppb pop_back()
#define ppf pop_front()
#define pp pop()
#define tp top()
#define lb lower_bound
#define ub upper_bound
#define FOR(i, a, b) for(int i = (a); i < (b); ++i)
#define F0R(i, a) FOR(i, 0, a)
#define ROF(i, a, b) for(int i = (b) - 1; i >= (a); --i)
#define R0F(i, a) ROF(i, 0, a)
#define xtime(a) F0R(_, a)
#define each(a, x) for(auto& a : x)
static constexpr int MOD = 1'000'000'007;
static constexpr int MD2 = 1'000'000'009;
static constexpr int ALT = 998'244'353;
static constexpr u64 B1 = 911'382'323;
static constexpr u64 B2 = 972'663'749;
static constexpr ll LMX = 1e18;
static constexpr int XDIR[4] {1, 0, -1, 0}, YDIR[4] {0, 1, 0, -1};
template<class P> using pqpl = priority_queue<P, vector<P>, greater<P>>;
template<class P> using pqpg = priority_queue<P, vector<P>, less<P>>;
constexpr int pct(int x) { return __builtin_popcount(x); }
constexpr int ctz(int x) { return __builtin_ctz(x); }
constexpr int clz(int x) { return __builtin_clz(x); }
constexpr int pctll(ll x) { return __builtin_popcountll(x); }
constexpr int ctzll(ll x) { return __builtin_ctzll(x); }
constexpr int clzll(ll x) { return __builtin_clzll(x); }
ll ceill(ll a, ll b) { return (a + b - 1) / b; }
vcA> void printvec(V<A>&a) { each(v,a) { cout << v << ' '; } cout << '\n'; }
// binstr
template<typename C>
void meow(C num) { for(int bits = sizeof(num) * 8; bits--; num >>= 1) cout << !!(num & 1); cout << '\n'; }
// pos of msb, msb(0) = -1, msb(2) = 1, msb(1) = 0, etc.
template<typename C>
int woof(C n) {
if(!n) return -1;
switch(sizeof(C)) {
case 1: return 7 - clz(static_cast<uint>(n) << 24);
case 2: return 15 - clz(static_cast<uint>(n) << 16);
case 4: return 31 - clz(static_cast<uint>(n));
case 8: return 63 - clzll(static_cast<ull>(n));
}
return -1;
}
// for coordinate comp
template<typename T>
int v2i(V<T>& A, T val) { return int(lower_bound(all(A), val) - bg(A)); }
#endif
/*
first occurrence of prefix
same rules for choosing nxt as >= k
suf ^ pre >= k
:.
si & ki | ->0
si & !ki | +0, ->1
!si & ki | ->1
!si & !ki | +1, ->0
*/
struct node {
int id = INT_MAX;
node* nxt[2]{nullptr};
};
struct trie {
node* root;
trie() : root(new node) { ins(0, 0); }
void ins(int x, int idx) {
node* cur = root;
for(int i = shl(1, 29); i; i >>= 1) {
auto& nxt = cur->nxt[!!(x & i)];
if(!nxt) nxt = new node{idx, nullptr, nullptr};
cur = nxt;
}
}
int get(node* cur) {
return cur ? cur->id : INT_MAX;
}
int quer(int x, int k) {
node* cur = root;
int ret = INT_MAX;
// si & ki | ->0
// si & !ki | +0, ->1
// !si & ki | ->1
// !si & !ki | +1, ->0
for(int i = shl(1, 29); i; i >>= 1) {
int xi = !!(x & i), ki = !!(k & i), nxt = 0;
if(xi && !ki) {
ret = min(ret, get(cur->nxt[0]));
nxt = 1;
} else if(!xi && ki) {
nxt = 1;
} else if(!xi && !ki) {
ret = min(ret, get(cur->nxt[1]));
nxt = 0;
}
cur = cur->nxt[nxt];
if(!cur) return ret;
}
return min(ret, cur->id);
}
};
int main() {
#ifdef TEST
#else
int n, k;
cin >> n >> k;
vi A(n); each(i, A) cin >> i;
trie T;
int sum = 0, ri = INT_MAX, rk = 0;
F0R(i, n) {
sum ^= A[i];
int q = T.quer(sum, k);
if(q != INT_MAX) {
int ck = i - q + 1;
if(ck == rk) ri = min(ri, q);
if(ck > rk) rk = ck, ri = q;
}
T.ins(sum, i + 1);
}
// since ri represents the end 1-indexed index of
// the prefix that gets removed, ri + 1 is the begin
// of the contig of length rk that is actually used
cout << ri + 1 << ' ' << rk << '\n';
#endif
return 0;
}
