from collections import defaultdict

MOD = 998244353

N, Q = [int(s) for s in input().split()]
S = [int(s) for s in input().split()]

values = [1, 5, 7, 11, 19, 29]
dic = [defaultdict(int) for _ in range(max(values) + 1)]

for s in S:
    for v in values:
        if s % v == 0:
            dic[v][s // v] += 1

ans = 0

for s in S:
    ans += dic[1][s] * dic[5][s] * dic[7][s] * dic[11][s]
    ans += dic[1][s] * dic[11][s] * dic[19][s] * dic[29][s]
    ans %= MOD

for _ in range(Q):
    t, x = [int(s) for s in input().split()]

    if t == 1:
        prev = 0
        for v in values:
            if x % v != 0:
                continue
            div = x // v
            prev += dic[1][div] * dic[5][div] * dic[7][div] * dic[11][div]
            prev += dic[1][div] * dic[11][div] * dic[19][div] * dic[29][div]

        for v in values:
            if x % v != 0:
                continue
            div = x // v
            dic[v][div] += 1

        curr = 0
        for v in values:
            if x % v != 0:
                continue
            div = x // v
            curr += dic[1][div] * dic[5][div] * dic[7][div] * dic[11][div]
            curr += dic[1][div] * dic[11][div] * dic[19][div] * dic[29][div]

        ans += curr - prev

    else:
        prev = 0
        for v in values:
            if x % v != 0:
                continue
            div = x // v
            prev += dic[1][div] * dic[5][div] * dic[7][div] * dic[11][div]
            prev += dic[1][div] * dic[11][div] * dic[19][div] * dic[29][div]

        for v in values:
            if x % v != 0:
                continue
            div = x // v
            dic[v][div] -= 1

        curr = 0
        for v in values:
            if x % v != 0:
                continue
            div = x // v
            curr += dic[1][div] * dic[5][div] * dic[7][div] * dic[11][div]
            curr += dic[1][div] * dic[11][div] * dic[19][div] * dic[29][div]

        ans += curr - prev

    print(ans)