# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
588586 | leeh18 | XOR (IZhO12_xor) | C++17 | 577 ms | 59396 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
struct trie_node {
int max_idx;
array<unique_ptr<trie_node>, 2> children;
trie_node() : max_idx(0) {}
void insert(int x, int idx, int pos = 30) {
if (pos < 0) return;
int bit = (x >> pos) & 1;
if (children[bit] == nullptr) {
children[bit] = make_unique<trie_node>();
}
children[bit]->max_idx = max(children[bit]->max_idx, idx);
children[bit]->insert(x, idx, pos-1);
}
bool check(int bit, int k) {
if (children[bit] == nullptr) return false;
return children[bit]->max_idx >= k;
}
int max_xor(int x, int k, int pos = 30) {
if (pos < 0) return 0;
int ret = 0;
int bit = (x >> pos) & 1;
if (check(bit^1, k)) {
ret = children[bit^1]->max_xor(x, k, pos-1);
ret |= (1 << pos);
} else {
ret = children[bit]->max_xor(x, k, pos-1);
}
return ret;
}
};
int main() {
cin.tie(0)->sync_with_stdio(0);
cin.exceptions(cin.failbit);
int n, x;
cin >> n >> x;
vector<int> psum(n + 1);
for (int i = 1; i <= n; i++) {
cin >> psum[i];
psum[i] ^= psum[i - 1];
}
trie_node trie;
for (int i = 0; i <= n; i++) {
trie.insert(psum[i], i);
}
int ans_i = 0, ans_k = 0;
for (int i = 0; i < n; i++) {
int lo = i, hi = n;
while (lo < hi) {
int mid = (lo + hi + 1) / 2;
if (trie.max_xor(psum[i], mid) >= x) lo = mid;
else hi = mid - 1;
}
int k = lo - i;
if (ans_k < k) {
ans_i = i + 1;
ans_k = k;
}
}
cout << ans_i << ' ' << ans_k << '\n';
}
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