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May 12, 2018 19:44
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Treap implementation in Python
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# -*- coding : utf-8 -*- | |
#!/usr/bin/env python3 | |
from random import randint | |
class TreapNode(object): | |
def __init__(self,key,priority): | |
self.key = key | |
self.priority = priority | |
self.l = None | |
self.r = None | |
class Treap(object): | |
@staticmethod | |
def gen(): | |
return randint(1,2**64) | |
def __init__(self): | |
self.root = None | |
def split(self,t,key): | |
if t == None: | |
return (None,None) | |
if key < t.key: | |
l,t.l = self.split(t.l,key) | |
r = t | |
return (l,r) | |
else: | |
t.r,r = self.split(t.r,key) | |
l = t | |
return (l,r) | |
def merge(self,l,r): | |
if l == None: | |
return r | |
elif r == None: | |
return l | |
elif l.priority > r.priority: | |
l.r = self.merge(l.r,r) | |
return l | |
else: | |
r.l = self.merge(l,r.l) | |
return r | |
def find(self,t,key): | |
if t == None: | |
return False | |
if t.key == key: | |
return True | |
elif key < t.key: | |
return self.find(t.l,key) | |
else: | |
return self.find(t.r,key) | |
def insert(self,key): | |
novo = TreapNode(key,self.gen()) | |
if self.root == None: | |
self.root = novo | |
return | |
L,R = self.split(self.root,key - 1) | |
self.root = self.merge(L,novo) | |
self.root = self.merge(self.root,R) | |
def get_height(self,t): | |
if t == None: | |
return 0 | |
ans = 1 | |
ans = max(ans,self.get_height(t.l) + 1) | |
ans = max(ans,self.get_height(t.r) + 1) | |
return ans | |
def altura(self): | |
valor = self.get_height(self.root) | |
return valor | |
alturas = [] | |
for i in range(100): | |
arvore = Treap() | |
for j in range(10000): | |
arvore.insert(j) | |
alturas.append(arvore.altura()) | |
print(sum(alturas)/len(alturas)) |
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