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/* FIXME: Copyright ...
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*
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* This implementation is heavily based on STL's heap functions and
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* the similar class by Alpar Juttner in IKTA...
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*/
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/******
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*
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* BinHeap<KeyType, ValueType, KeyIntMap, [ValueCompare]>
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*
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* Ez az osztaly kulcs-ertek parok tarolasara alkalmas binaris kupacot
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* valosit meg.
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* A kupacban legfolul mindig az a par talalhato, amiben az _ertek_ a
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* legkisebb. (Gondolj a Dijkstra pont-tavolsag kupacara; igazabol ahhoz
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* lett keszitve...)
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*
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* Megjegyzes: egy kicsit gyanus nekem, hogy a kupacos temakorben nem
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* azt hivjak kulcsnak, amit most en annak nevezek. :) En olyan
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* property_map -os ertelemben hasznalom.
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*
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* A hasznalatahoz szukseg van egy irhato/olvashato property_map-re, ami
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* a kulcsokhoz egy int-et tud tarolni (ezzel tudom megkeresni az illeto
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* elemet a kupacban a csokkentes es hasonlo muveletekhez).
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* A map-re csak referenciat tarol, ugy hogy a kupac elete folyan a map-nek
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* is elnie kell. (???)
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*
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* Ketfele modon hasznalhato:
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* Lusta mod:
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* put(Key, Value) metodussal pakolunk a kupacba,
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* aztan o majd eldonti, hogy ez az elem mar benne van-e es ha igen, akkor
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* csokkentettunk-e rajta, vagy noveltunk.
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* Ehhez nagyon fontos, hogy az atadott property map inicializalva legyen
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* minden szobajovo kulcs ertekre, -1 -es ertekkel!
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* Es ilyen esetben a kulcsokrol lekerdezheto az allapotuk a state metodussal:
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* (nem jart meg a kupacban PRE_HEAP=-1, epp a kupacban van IN_HEAP=0,
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* mar kikerult a kupacbol POST_HEAP=-2).
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* Szoval ebben a modban a kupac nagyjabol hasznalhato property_map-kent, csak
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* meg meg tudja mondani a "legkisebb" erteku elemet. De csak nagyjabol,
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* hiszen a kupacbol kikerult elemeknek elvesz az ertekuk...
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*
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* Kozvetlen mod:
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* push(Key, Value) metodussal belerakunk a kupacba (ha az illeto kulcs mar
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* benn volt, akkor gaz).
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* increase/decrease(Key k, Value new_value) metodusokkal lehet
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* novelni/csokkenteni az illeto kulcshoz tartozo erteket. (Ha nem volt meg
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* benne a kupacban az illeto kulcs, vagy nem abba az iranyba valtoztattad
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* az erteket, amerre mondtad -- gaz).
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*
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* Termeszetesen a fenti ket modot ertelemszeruen lehet keverni.
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* Ja es mindig nagyon gaz, ha belepiszkalsz a map-be, amit a kupac
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* hasznal. :-))
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*
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*
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* Bocs, most faradt vagyok, majd egyszer leforditom. (Misi)
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*
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*/
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#ifndef BIN_HEAP_HH
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#define BIN_HEAP_HH
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#include <vector>
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#include <utility>
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#include <functional>
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namespace marci {
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template <typename Key, typename Val, typename KeyIntMap,
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typename Compare = std::less<Val> >
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class BinHeap {
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public:
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typedef Key KeyType;
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// FIXME: stl-ben nem ezt hivjak value_type -nak, hanem a kovetkezot...
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typedef Val ValueType;
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typedef std::pair<KeyType,ValueType> PairType;
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typedef KeyIntMap KeyIntMapType;
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typedef Compare ValueCompare;
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/**
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* Each Key element have a state associated to it. It may be "in heap",
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* "pre heap" or "post heap". The later two are indifferent from the
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* heap's point of view, but may be useful to the user.
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*
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* The KeyIntMap _should_ be initialized in such way, that it maps
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* PRE_HEAP (-1) to any element to be put in the heap...
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*/
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enum state_enum {
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IN_HEAP = 0,
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PRE_HEAP = -1,
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POST_HEAP = -2
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};
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private:
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std::vector<PairType> data;
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Compare comp;
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// FIXME: jo ez igy???
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KeyIntMap &kim;
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public:
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BinHeap(KeyIntMap &_kim) : kim(_kim) {}
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BinHeap(KeyIntMap &_kim, const Compare &_comp) : comp(_comp), kim(_kim) {}
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int size() const { return data.size(); }
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bool empty() const { return data.empty(); }
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private:
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static int parent(int i) { return (i-1)/2; }
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static int second_child(int i) { return 2*i+2; }
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bool less(const PairType &p1, const PairType &p2) {
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return comp(p1.second, p2.second);
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}
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int bubble_up(int hole, PairType p);
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int bubble_down(int hole, PairType p, int length);
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void move(const PairType &p, int i) {
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data[i] = p;
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kim.put(p.first, i);
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}
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void rmidx(int h) {
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int n = data.size()-1;
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if( h>=0 && h<=n ) {
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kim.put(data[h].first, POST_HEAP);
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if ( h<n ) {
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bubble_down(h, data[n], n);
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}
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data.pop_back();
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}
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}
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public:
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void push(const PairType &p) {
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int n = data.size();
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data.resize(n+1);
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bubble_up(n, p);
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}
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void push(const Key &k, const Val &v) { push(PairType(k,v)); }
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Key top() const {
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// FIXME: test size>0 ?
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return data[0].first;
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}
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Val topValue() const {
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// FIXME: test size>0 ?
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return data[0].second;
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}
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void pop() {
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rmidx(0);
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}
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void erase(const Key &k) {
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rmidx(kim.get(k));
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}
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const Val get(const Key &k) const {
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int idx = kim.get(k);
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return data[idx].second;
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}
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void put(const Key &k, const Val &v) {
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int idx = kim.get(k);
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if( idx < 0 ) {
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push(k,v);
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}
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else if( comp(v, data[idx].second) ) {
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bubble_up(idx, PairType(k,v));
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}
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else {
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bubble_down(idx, PairType(k,v), data.size());
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}
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}
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void decrease(const Key &k, const Val &v) {
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int idx = kim.get(k);
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bubble_up(idx, PairType(k,v));
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}
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void increase(const Key &k, const Val &v) {
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int idx = kim.get(k);
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bubble_down(idx, PairType(k,v), data.size());
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}
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state_enum state(const Key &k) const {
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int s = kim.get(k);
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if( s>=0 )
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s=0;
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return state_enum(s);
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}
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}; // class BinHeap
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template <typename K, typename V, typename M, typename C>
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int BinHeap<K,V,M,C>::bubble_up(int hole, PairType p) {
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int par = parent(hole);
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while( hole>0 && less(p,data[par]) ) {
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move(data[par],hole);
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hole = par;
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par = parent(hole);
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}
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move(p, hole);
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return hole;
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}
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template <typename K, typename V, typename M, typename C>
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int BinHeap<K,V,M,C>::bubble_down(int hole, PairType p, int length) {
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int child = second_child(hole);
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while(child < length) {
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if( less(data[child-1], data[child]) ) {
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--child;
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}
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if( !less(data[child], p) )
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goto ok;
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move(data[child], hole);
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hole = child;
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child = second_child(hole);
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}
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child--;
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if( child<length && less(data[child], p) ) {
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move(data[child], hole);
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hole=child;
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}
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ok:
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move(p, hole);
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return hole;
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}
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} // namespace marci
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#endif // BIN_HEAP_HH
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