from sys import stdin

class UnionFind():
    def __init__(self, n):
        self.parent_or_size = [-1] * n
        self.weight = [0] * n
        self.ans = [0] * n
        self.cnt = [[0] * n for i in range(60)]
        for i in range(30):
            for j in range(n):
                self.cnt[i][j] = 1

    def leader(self, x):
        if self.parent_or_size[x] < 0: return x
        root = self.leader(self.parent_or_size[x])
        self.weight[x] ^= self.weight[self.parent_or_size[x]]
        self.parent_or_size[x] = root
        return root

    def merge(self, x, y, w):
        rx, ry = self.leader(x), self.leader(y)
        w ^= self.weight[x] ^ self.weight[y]
        if self.parent_or_size[rx] > self.parent_or_size[ry]: rx, ry = ry, rx
        self.parent_or_size[rx] += self.parent_or_size[ry]
        self.parent_or_size[ry] = rx
        self.weight[ry] = w
        self.ans[rx] = 0
        for i in range(30):
            self.cnt[(30 if w >> i & 1 else 0) + i][rx] += self.cnt[i][ry]
            self.cnt[(30 if 1 ^ (w >> i & 1) else 0) + i][rx] += self.cnt[30 + i][ry]
            self.ans[rx] += (self.cnt[i][rx] * self.cnt[30 + i][rx]) << i
            self.ans[rx] %= 998244353
    
    def dist(self, x, y):
        if self.leader(x) != self.leader(y): return -1
        return self.weight[x] ^ self.weight[y]
        

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