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#include "structure/heap/radix-heap.hpp"
template <typename key_t, typename val_t>
struct RadixHeap {
static constexpr int bit = sizeof(key_t) * 8;
array<vector<pair<key_t, val_t> >, bit> vs;
size_t sz;
key_t last;
RadixHeap() : sz(0), last(0) {}
bool empty() const { return sz == 0; }
size_t size() const { return sz; }
inline int getbit(int a) const { return a ? bit - __builtin_clz(a) : 0; }
inline int getbit(int64_t a) const {
return a ? bit - __builtin_clzll(a) : 0;
}
void push(const key_t &key, const val_t &val) {
sz++;
vs[getbit(key ^ last)].emplace_back(key, val);
}
pair<key_t, val_t> pop() {
if (vs[0].empty()) {
int idx = 1;
while (vs[idx].empty()) idx++;
last = min_element(vs[idx].begin(), vs[idx].end())->first;
for (auto &p : vs[idx]) vs[getbit(p.first ^ last)].emplace_back(p);
vs[idx].clear();
}
--sz;
auto res = vs[0].back();
vs[0].pop_back();
return res;
}
};
#line 1 "structure/heap/radix-heap.hpp"
template <typename key_t, typename val_t>
struct RadixHeap {
static constexpr int bit = sizeof(key_t) * 8;
array<vector<pair<key_t, val_t> >, bit> vs;
size_t sz;
key_t last;
RadixHeap() : sz(0), last(0) {}
bool empty() const { return sz == 0; }
size_t size() const { return sz; }
inline int getbit(int a) const { return a ? bit - __builtin_clz(a) : 0; }
inline int getbit(int64_t a) const {
return a ? bit - __builtin_clzll(a) : 0;
}
void push(const key_t &key, const val_t &val) {
sz++;
vs[getbit(key ^ last)].emplace_back(key, val);
}
pair<key_t, val_t> pop() {
if (vs[0].empty()) {
int idx = 1;
while (vs[idx].empty()) idx++;
last = min_element(vs[idx].begin(), vs[idx].end())->first;
for (auto &p : vs[idx]) vs[getbit(p.first ^ last)].emplace_back(p);
vs[idx].clear();
}
--sz;
auto res = vs[0].back();
vs[0].pop_back();
return res;
}
};