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template <class K, class V>
class RadixHeap {
static constexpr int bit_length = sizeof(K)*8;
K last;
size_t sz, cnt;
array<vector<pair<K, V>>, bit_length> v;
static inline int bsr(int x){
return x ? bit_length-__builtin_clz(x) : 0;
}
static inline int bsr(ll x){
return x ? bit_length-__builtin_clzll(x) : 0;
}
void pull() {
if(cnt < v[0].size()) return;;
int i = 1;
while(v[i].empty()) i++;
last = min_element(v[i].begin(),v[i].end())->first;
for (auto &&x : v[i]) v[bsr(x.first ^ last)].push_back(x);
v[i].clear();
}
public:
RadixHeap() : last(0), sz(0), cnt(0) {}
void emplace(K x, V val){
sz++;
v[bsr(x^last)].emplace_back(x, val);
}
pair<K, V> top() {
pull();
return v[0][cnt];
}
void pop() {
pull();
sz--;
cnt++;
}
size_t size() const { return sz; }
bool empty() const { return !sz; }
};
#line 1 "datastructure/radixheap.cpp"
template <class K, class V>
class RadixHeap {
static constexpr int bit_length = sizeof(K)*8;
K last;
size_t sz, cnt;
array<vector<pair<K, V>>, bit_length> v;
static inline int bsr(int x){
return x ? bit_length-__builtin_clz(x) : 0;
}
static inline int bsr(ll x){
return x ? bit_length-__builtin_clzll(x) : 0;
}
void pull() {
if(cnt < v[0].size()) return;;
int i = 1;
while(v[i].empty()) i++;
last = min_element(v[i].begin(),v[i].end())->first;
for (auto &&x : v[i]) v[bsr(x.first ^ last)].push_back(x);
v[i].clear();
}
public:
RadixHeap() : last(0), sz(0), cnt(0) {}
void emplace(K x, V val){
sz++;
v[bsr(x^last)].emplace_back(x, val);
}
pair<K, V> top() {
pull();
return v[0][cnt];
}
void pop() {
pull();
sz--;
cnt++;
}
size_t size() const { return sz; }
bool empty() const { return !sz; }
};