def add_con(lab1, lab2, lab_cons):
    lab_cons[lab1].append(lab2)
    lab_cons[lab2].append(lab1)

def av_desks(lab, lab_cons, own_desks):
    res = own_desks[lab]
    for alab in lab_cons[lab]:
        res += own_desks[alab]
    return res

def av_mons(lab, lab_cons, own_mons):
    res = own_mons[lab]
    for alab in lab_cons[lab]:
        res += own_mons[alab]
    return res

def compare(av_mons, av_desks):
    if av_mons> av_desks:
        print("monitors")
    if av_mons == av_desks:
        print("same")
    if av_mons < av_desks:
        print("desks")

def main():
    own_desks = [0]
    own_mons = [0]

    lab_cons = {}

    mnq = input().split(" ")
    N = int(mnq[0])
    M = int(mnq[1])
    Q = int(mnq[2])

    for i in range(1, N + 1):
        own_desks.append(0)
        own_mons.append(0)
        lab_cons[i] = []

    desks = input().split(" ")
    mons = input().split(" ")

    for i in range(1, N + 1):
        own_desks[i] = int(desks[i - 1])
        own_mons[i] = int(mons[i - 1])

    for i in range(M):
        labs = input().split(" ")
        add_con(int(labs[0]), int(labs[1]), lab_cons)

    for _ in range(Q):
        line = input().split(" ")
        if line[0] == "add":
            if line[2] == "desk":
                own_desks[int(line[3])] += int(line[1])
            if line[2] == "monitor":
                own_mons[int(line[3])] += int(line[1])
        if line[0] == "check":
            lab = int(line[1])
            compare(av_mons(lab, lab_cons, own_mons), av_desks(lab, lab_cons, own_desks))

main()