def check(i, m):
    if (m[0][i] + m[2][i]) > (m[1][i] + m[3][i]):
        print("desks")
    elif (m[0][i] + m[2][i]) == (m[1][i] + m[3][i]):
        print("same")
    else:
        print("monitors")

def addm(lab, how_many, is_monitor, m):
    m[int(is_monitor)][lab] += how_many
    for i in m[4][lab]:
        m[2+int(is_monitor)][i] += how_many
    #print(lab, how_many, is_monitor, m)

if __name__ == "__main__":
    L, N, Q = [int(c) for c in input().split(" ")]

    matrix = [[0 for _ in range(L+1)] for _ in range(5)]
    

    matrix[0] = [int(c) for c in input().split(" ")] #desks
    matrix[0] = [0, *matrix[0]]
    matrix[1] = [int(c) for c in input().split(" ")] #monitors
    matrix[1] = [0, *matrix[1]]

    matrix[4] = [[] for _ in range(L+1)]

    for i in range(N):
        n1, n2 = [int(c) for c in input().split(" ")]
        
        matrix[4][n1].append(n2)
        matrix[4][n2].append(n1)
        matrix[2][n1] += matrix[0][n2]
        matrix[3][n1] += matrix[1][n2]
        matrix[2][n2] += matrix[0][n1]
        matrix[3][n2] += matrix[1][n1]

    for i in range(Q):
        line = input()
        sp = line.split(" ")
        if sp[0] == "check":
            check(int(sp[1]), matrix)
        else:
            addm(int(sp[3]), int(sp[1]), bool(sp[2] == "monitor"), matrix)