import sys sys.setrecursionlimit(10 ** 6) int1 = lambda x: int(x) - 1 p2D = lambda x: print(*x, sep="\n") def MI(): return map(int, sys.stdin.readline().split()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] class SparseTable: def __init__(self, aa): w = len(aa) h = w.bit_length() table = [aa] + [[""] * w for _ in range(h - 1)] tablei1 = table[0] for i in range(1, h): tablei = table[i] for j in range(w-(1<