Submission #42043337

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Source Code Expand

# UnionFind
########################################
# https://github.com/not522/ac-library-python/blob/master/atcoder/dsu.py
# thx: not522-san
import typing
class DSU:
    '''
    Implement (union by size) + (path halving)

    Reference:
    Zvi Galil and Giuseppe F. Italiano,
    Data structures and algorithms for disjoint set union problems
    '''

    def __init__(self, n: int = 0) -> None:
        self._n = n
        self.parent_or_size = [-1] * n
    def merge(self, a: int, b: int) -> int:
        assert 0 <= a < self._n
        assert 0 <= b < self._n
        x = self.leader(a)
        y = self.leader(b)
        if x == y:
            return x
        if -self.parent_or_size[x] < -self.parent_or_size[y]:
            x, y = y, x
        self.parent_or_size[x] += self.parent_or_size[y]
        self.parent_or_size[y] = x
        return x
    def same(self, a: int, b: int) -> bool:
        assert 0 <= a < self._n
        assert 0 <= b < self._n
        return self.leader(a) == self.leader(b)
    def leader(self, a: int) -> int:
        assert 0 <= a < self._n
        parent = self.parent_or_size[a]
        while parent >= 0:
            if self.parent_or_size[parent] < 0:
                return parent
            self.parent_or_size[a], a, parent = (
                self.parent_or_size[parent],
                self.parent_or_size[parent],
                self.parent_or_size[self.parent_or_size[parent]]
            )
        return a
    def size(self, a: int) -> int:
        assert 0 <= a < self._n
        return -self.parent_or_size[self.leader(a)]
    def groups(self) -> typing.List[typing.List[int]]:
        leader_buf = [self.leader(i) for i in range(self._n)]
        result: typing.List[typing.List[int]] = [[] for _ in range(self._n)]
        for i in range(self._n):
            result[leader_buf[i]].append(i)
        return list(filter(lambda r: r, result))
########################################
from collections import deque
n, d = map(int, input().split())
dat = []
for _ in range(n): dat.append(tuple(map(int, input().split())))
dsu = DSU(n)
for i in range(n):
    x1, y1 = dat[i]
    for j in range(i+1, n):
        x2, y2 = dat[j]
        if (x1-x2)**2 + (y1-y2)**2 <= (d**2):
            dsu.merge(i, j)
for i in range(n): print("Yes" if dsu.same(0, i) else "No")

Submission Info

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