Uh oh!
There was an error while loading. Please reload this page.
- Notifications
You must be signed in to change notification settings - Fork 41
Expand file tree
/
Copy pathpriority_queue.py
More file actions
Latest commit
169 lines (140 loc) · 4.02 KB
/
Copy pathpriority_queue.py
File metadata and controls
169 lines (140 loc) · 4.02 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
classPriorityQueue:
def__init__(self, less):
self.heap=Heap([], less, update_position)
self.get_key_and_pos= {}
def__repr__(self):
returnrepr(self.heap)
defpush(self, key):
kp=KeyWithPosition(key)
self.get_key_and_pos[key] =kp
self.heap.insert(kp)
defpop(self):
returnself.heap.extract_max().key
defincrease_key(self, key):
obj=self.get_key_and_pos[key]
heap_increase_key(self.heap, obj.position)
defempty(self):
returnself.heap.heap_size==0
classKeyWithPosition:
def__init__(self, k):
self.key=k
self.position=-1
def__repr__(self):
returnstr(self.key) +'@'+repr(self.position)
defupdate_position(key_with_pos, pos):
key_with_pos.position=pos
classHeap:
def__init__(self, data, less, update):
self.data=data
self.less=less
self.update=update
i=0
forobjinself.data:
self.update(obj, i)
i+=1
build_max_heap(self)
def__repr__(self):
returnrepr(self.data[:self.heap_size])
defmaximum(self):
returnself.data[0]
definsert(self, obj):
self.heap_size+=1
iflen(self.data) <self.heap_size:
self.data.append(obj)
else:
self.data[self.heap_size-1] =obj
self.update(obj, self.heap_size-1)
heap_increase_key(self, self.heap_size-1)
defextract_max(self):
assertself.heap_size!=0
max=self.data[0]
self.data[0] =self.data[self.heap_size-1]
self.update(self.data[0], 0)
self.heap_size-=1
max_heapify(self, 0)
returnmax
defleft(i):
return2*i+1
defright(i):
return2* (i+1)
defparent(i):
return (i-1) //2
defswap(A, i, j):
tmp=A[i]
A[i] =A[j]
A[j] =tmp
defheap_increase_key(H, i):
whilei>0andH.less(H.data[parent(i)], H.data[i]):
swap(H.data, i, parent(i))
H.update(H.data[i], i)
H.update(H.data[parent(i)], parent(i))
i=parent(i)
defmax_heapify(H, i):
l=left(i)
r=right(i)
ifl<H.heap_sizeandH.less(H.data[i], H.data[l]):
largest=l
else:
largest=i
ifr<H.heap_sizeandH.less(H.data[largest], H.data[r]):
largest=r
iflargest!=i:
swap(H.data, i, largest)
H.update(H.data[i], i)
H.update(H.data[largest], largest)
max_heapify(H, largest)
defbuild_max_heap(H):
H.heap_size=len(H.data)
last_parent=len(H.data) //2
foriinrange(last_parent, -1, -1):
max_heapify(H, i)
defheap_sort(H):
build_max_heap(H)
foriinrange(len(H.data)-1, 0, -1):
swap(H.data, 0, i)
H.update(H.data[0], 0); H.update(H.data[i], i)
H.heap_size-=1
max_heapify(H, 0)
defless(x, y):
returnx<y
defignore_update(obj, pos):
pass
if__name__=="__main__":
# test Heap build and extract_max
L= [4,3,5,1,2]
h=Heap(L, less, ignore_update)
foriinrange(5, 0, -1):
asserth.extract_max() ==i
# test Heap insert
L= [4,3,5,1,2]
forkinL:
h.insert(k)
foriinrange(5, 0, -1):
asserth.extract_max() ==i
# test heap_sort
L= [4,3,5,1,2]
h=Heap(L, less, ignore_update)
heap_sort(h)
foriinrange(0, 5):
assertL[i] ==i+1
# test PriorityQeueue push and pop
L= {'a': 4, 'b': 3, 'c':5,'d':1,'e':2}
defless(x, y):
returnL[x.key] <L[y.key]
Q=PriorityQueue(less)
fork, vinL.items():
Q.push(k)
P= ['c', 'a', 'b', 'e', 'd']
foriinrange(0, len(P)):
assertQ.pop() ==P[i]
# test increase_key
Q=PriorityQueue(less)
fork, vinL.items():
Q.push(k)
fork, vinL.items():
L[k] =v+2
Q.increase_key(k)
foriinrange(5, 0, -1):
k=Q.pop()
assertL[k] ==i+2
print('passed all tests')