diff --git a/atcoder/dsu.py b/atcoder/dsu.py new file mode 100644 index 0000000..ad73361 --- /dev/null +++ b/atcoder/dsu.py @@ -0,0 +1,83 @@ +import typing + + +class DSU: + ''' + Implement (union by size) + (path compression) + Reference: + Zvi Galil and Giuseppe F. Italiano, + Data structures and algorithms for disjoint set union problems + ''' + + def __init__(self, n: int = 0): + 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 + + if self.parent_or_size[a] < 0: + return a + + self.parent_or_size[a] = self.leader(self.parent_or_size[a]) + return self.parent_or_size[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 = [[] for _ in range(self._n)] + for i in range(self._n): + result[leader_buf[i]].append(i) + + return list(filter(lambda r: r, result)) + + +# https://atcoder.jp/contests/practice2/tasks/practice2_a +def main() -> None: + import sys + + n, q = map(int, sys.stdin.readline().split()) + dsu = DSU(n) + + for _ in range(q): + t, u, v = map(int, sys.stdin.readline().split()) + if t == 0: + dsu.merge(u, v) + if t == 1: + if dsu.same(u, v): + print(1) + else: + print(0) + + +if __name__ == '__main__': + main()