Иванова Алина. решение контрольной работы 2

src/kr2/binomial_heap.py

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+import heapq
+
+priority_queue = []
+heapq.heappush(priority_queue, (2, "One"))
+heapq.heappush(priority_queue, (1, "Two"))
+heapq.heappush(priority_queue, (3, "Three"))
+while priority_queue:
+    priority, task = heapq.heappop(priority_queue)
+
+class Node:
+    def __init__(self):
+        self.data = key
+        self.degree = 0
+        self.parent = None
+        self.child = None
+        self.parent = None
+        self.sibling = None
+
+        # соединение двух биномиальных куч
+        def mergeBinomialTrees(b1, b2):
+            if b1.data > b2.data:
+                b1, b2 = b2, b1
+                b2.parent = b1
+                b2.sibling = b1.child
+                b1.child = b2
+                b1.degree += 1
+
+                return b1
+
+        def unionBinomialHeap(l1, l2):
+            _new = []
+            it = ot = 0
+            while (it < len(l1)) and (ot < len(l2)):
+                if l1[it].degree <= l2[ot].degree:
+                    _new.append(l1[it])
+                    it+=1
+                else:
+                    _new.append(l2[ot])
+                    ot += 1
+
+            while it < len(l1):
+                _new.append(l1[it])
+                it += 1
+            while ot < len(l2):
+                _new.append(l2[ot])
+                ot += 1
+
+            return _new
+
+    def adjust(_heap):
+        if len(_heap) <= 1:
+            return _heap
+        new_heap = []
+        it1 = it2 = it3 = 0
+        if len(_heap) == 2:
+            it2 = 1
+            it3 = len(_heap)
+        else:
+            it2 = 1
+            it3 = 2
+
+        while it1 < len(_heap):
+            if it2 == len(_heap):
+                it1 += 1
+
+            elif _heap[it1].degree < _heap[it2].degree:
+                it1 += 1
+                it2 += 1
+                if it3 < len(_heap):
+                    it3 += 1
+
+            elif it3 < len(_heap) and _heap[it1].degree == _heap[it2].degree == _heap[it3].degree:
+                it1 += 1
+                it2 += 1
+                it3 += 1
+
+            elif _heap[it1].degree == _heap[it2].degree:
+                _heap[it1] = mergeBinomialTrees(_heap[it1], _heap[it2])
+                del _heap[it2]
+                if it3 < len(_heap):
+                    it3 += 1
+        return _heap
+
+    def InsertATreeInHeap(_heap, tree):
+        temp = tree
+        temp = unionBinomialHeap(_heap, tree)
+        return adjust(_heap)
+
+
+    def removeMinFromTreeReturnBHeap(tree):
+        heap = []
+        temp = tree.child
+
+        # создаем кучу детей минимального элемента
+        while temp:
+            lo = temp
+            temp = temp.sibling
+            lo.sibling = None
+            heap.insert(0, lo)
+
+        return heap
+
+
+    # добавляем в биномиальную кучу
+    def insert(_head, key):
+        temp = Node(key)
+        return insertATreeInHeap(_head, temp)
+
+
+    def getMin(_heap):
+        temp = _heap[0]
+
+        # ищем минимальный элемент в куче
+        for node in _heap:
+            if node.data < temp.data:
+                temp = node
+
+        return temp
+
+    def extractMin(_heap):
+        new_heap = []
+        lo = []
+
+        temp = getMin(_heap)
+
+        # удаляем минимальный элемент кучи
+        for node in _heap:
+            if node != temp:
+                new_heap.append(node)
+
+        # соединяем кучу с детьми минимального элемента
+        lo = removeMinFromTreeReturnBHeap(temp)
+        new_heap = unionBionomialHeap(new_heap, lo)
+        new_heap = adjust(new_heap)
+
+        return new_heap
+
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