import sys #sys.setrecursionlimit(10 ** 6) INF = float('inf') MOD = 10**9 + 7 MOD2 = 998244353 from collections import defaultdict def ceil(A,B): return -(-A//B) def solve(): def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LC(): return list(input()) def IC(): return [int(c) for c in input()] def MI(): return map(int, sys.stdin.readline().split()) return solve()