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Trie - Binary
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84 lines (82 loc) · 1.89 KB
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#include<bits/stdc++.h>
using namespace std;
const int N = 3e5 + 9;
struct Trie {
static const int B = 31;
struct node {
node* nxt[2];
int sz;
node() {
nxt[0] = nxt[1] = NULL;
sz = 0;
}
}*root;
Trie() {
root = new node();
}
void insert(int val) {
node* cur = root;
cur -> sz++;
for (int i = B - 1; i >= 0; i--) {
int b = val >> i & 1;
if (cur -> nxt[b] == NULL) cur -> nxt[b] = new node();
cur = cur -> nxt[b];
cur -> sz++;
}
}
int query(int x, int k) { // number of values s.t. val ^ x < k
node* cur = root;
int ans = 0;
for (int i = B - 1; i >= 0; i--) {
if (cur == NULL) break;
int b1 = x >> i & 1, b2 = k >> i & 1;
if (b2 == 1) {
if (cur -> nxt[b1]) ans += cur -> nxt[b1] -> sz;
cur = cur -> nxt[!b1];
} else cur = cur -> nxt[b1];
}
return ans;
}
int get_max(int x) { // returns maximum of val ^ x
node* cur = root;
int ans = 0;
for (int i = B - 1; i >= 0; i--) {
int k = x >> i & 1;
if (cur -> nxt[!k]) cur = cur -> nxt[!k], ans <<= 1, ans++;
else cur = cur -> nxt[k], ans <<= 1;
}
return ans;
}
int get_min(int x) { // returns minimum of val ^ x
node* cur = root;
int ans = 0;
for (int i = B - 1; i >= 0; i--) {
int k = x >> i & 1;
if (cur -> nxt[k]) cur = cur -> nxt[k], ans <<= 1;
else cur = cur -> nxt[!k], ans <<= 1, ans++;
}
return ans;
}
void del(node* cur) {
for (int i = 0; i < 2; i++) if (cur -> nxt[i]) del(cur -> nxt[i]);
delete(cur);
}
} t;
int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, k;
cin >> n >> k;
int cur = 0;
long long ans = 1LL * n * (n + 1) / 2;
t.insert(cur);
for (int i = 0; i < n; i++) {
int x;
cin >> x;
cur ^= x;
ans -= t.query(cur, k);
t.insert(cur);
}
cout << ans << '\n';
return 0;
}