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import numpy as np
class DisjointSet:
def __init__(self, n_elements):
self.num = n_elements
self.elements = np.empty(
shape=(n_elements, 3),
dtype=int
)
for i in range(n_elements):
self.elements[i, 0] = 0
self.elements[i, 1] = 1
self.elements[i, 2] = i
def size(self, x):
return self.elements[x, 1]
def num_sets(self):
return self.num
def find(self, x):
y = int(x)
while y != self.elements[y, 2]:
y = self.elements[y, 2]
self.elements[x, 2] = y
return y
def join(self, x, y):
if self.elements[x, 0] > self.elements[y, 0]:
self.elements[y, 2] = x
self.elements[x, 1] += self.elements[y, 1]
else:
self.elements[x, 2] = y
self.elements[y, 1] += self.elements[x, 1]
if self.elements[x, 0] == self.elements[y, 0]:
self.elements[y, 0] += 1
self.num -= 1