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Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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3
4 Design a data structure that supports all following operations
5
in average 0(1) time.
6
7 insert(val): Inserts an item val to the set if not already present.
8 remove(val): Removes an item val from the set if present.
9
random_element: Returns a random element from current set of elements.
Each element must have the same probability of being returned.
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import random
class RandomizedSet():
idea: shoot
if
def __init__(self):
self.elements = []
self.index_map = {} # element -> index
def insert(self, new_one):
if new_one in self.index_map:
return
self.index_map [new_one] = len(self.elements)
self.elements.append(new_one)
def remove(self, old_one):
if not old_one in self.index_map:
return
index = self.index_map [old_one]
last = self.elements.pop()
self.index_map.pop(old_one)
if index == len(self.elements):
return
self.elements [index] = last
self.index_map[last] = index
def random_element(self):
return random.choice(self.elements)
def_test():
rset= RandomizedSet()
ground_truth = set()
n = 64
for i in range(n):
rset.insert(i)
ground_truth.add(i)
# Remove a half
for i in random. sample(range(n), n // 2):
rset.remove(i)
ground_truth.remove(i)
print(len(ground_truth), len(rset.elements), len(rset.index_map))
for i in ground_truth:
assert(i == rset.elements [rset.index_map[i]])
for i in range(n):
print(rset.random_element(), end='')
print()
== "
___name__
_test()
_main__":
Transcribed Image Text:3 4 Design a data structure that supports all following operations 5 in average 0(1) time. 6 7 insert(val): Inserts an item val to the set if not already present. 8 remove(val): Removes an item val from the set if present. 9 random_element: Returns a random element from current set of elements. Each element must have the same probability of being returned. 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 import random class RandomizedSet(): idea: shoot if def __init__(self): self.elements = [] self.index_map = {} # element -> index def insert(self, new_one): if new_one in self.index_map: return self.index_map [new_one] = len(self.elements) self.elements.append(new_one) def remove(self, old_one): if not old_one in self.index_map: return index = self.index_map [old_one] last = self.elements.pop() self.index_map.pop(old_one) if index == len(self.elements): return self.elements [index] = last self.index_map[last] = index def random_element(self): return random.choice(self.elements) def_test(): rset= RandomizedSet() ground_truth = set() n = 64 for i in range(n): rset.insert(i) ground_truth.add(i) # Remove a half for i in random. sample(range(n), n // 2): rset.remove(i) ground_truth.remove(i) print(len(ground_truth), len(rset.elements), len(rset.index_map)) for i in ground_truth: assert(i == rset.elements [rset.index_map[i]]) for i in range(n): print(rset.random_element(), end='') print() == " ___name__ _test() _main__":
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