from sys import stdin

class UnionFind():
    def __init__(self, n):
        self.parent_or_size = [-1] * n
        self.weight = [1 << 30] * n
        self.ans = [0] * n

    def leader(self, x):
        while self.parent_or_size[x] >= 0: x = self.parent_or_size[x]
        return x

    def merge(self, x, y, w):
        rx, ry = self.leader(x), self.leader(y)
        if rx == ry: return
        if self.parent_or_size[rx] > self.parent_or_size[ry]: rx, ry = ry, rx
        self.ans[rx] += self.ans[ry] + w * self.parent_or_size[rx] * self.parent_or_size[ry]
        self.ans[rx] %= 998244353
        self.parent_or_size[rx] += self.parent_or_size[ry]
        self.parent_or_size[ry] = rx
        self.weight[ry] = w
    
    def dist(self, x, y):
        ans = 0
        while x != y:
            if self.weight[x] > self.weight[y]: x, y = y, x
            ans = self.weight[x]
            x = self.parent_or_size[x]
            if x < 0: return -1
        return ans
        

N, X, Q = map(int, stdin.readline().split())

uf = UnionFind(N)

for _ in range(Q):
    query = list(map(int, stdin.readline().split()))
    if query[0] == 1:
        uf.merge(X, query[1], query[2])
    elif query[0] == 2:
        d = uf.dist(query[1], query[2])
        print(d)
        if d != -1: 
            X += d
            X %= N
    elif query[0] == 3:
        print(uf.ans[uf.leader(query[1])])
    else:
        X += query[1]
        if X >= N: X -= N