import sys from collections import deque MOD = 998244353 def main(): N = int(sys.stdin.readline()) S = list(map(int, sys.stdin.readline().split())) from collections import defaultdict initial = defaultdict(int) for s in S: initial[s] += 1 visited = set() queue = deque() initial_tuple = frozenset(initial.items()) visited.add(initial_tuple) queue.append(initial) while queue: current = queue.popleft() current_tuple = frozenset(current.items()) elements = list(current.keys()) n = len(elements) from itertools import combinations for mask in range(1, 1 << n): subset = [] for i in range(n): if mask & (1 << i): subset.append(elements[i]) subset_set = set(subset) mex = 0 while mex in subset_set: mex += 1 new_state = defaultdict(int, current) valid = True for x in subset: if new_state[x] == 0: valid = False break new_state[x] -= 1 if new_state[x] == 0: del new_state[x] if not valid: continue new_state[mex] += 1 new_state_tuple = frozenset(new_state.items()) if new_state_tuple not in visited: visited.add(new_state_tuple) queue.append(new_state) print(len(visited) % MOD) if __name__ == "__main__": main()