N,K = list(map(int,input().split()))
S = input()

stack = []
for i in S:
    if(i == "("):
        stack.append("(")
    else:
        if(stack):
            stack.pop()
        else:
            print("No")
            exit()
if(stack):
    print("No")
    exit()

ans = []
for i in range(N-1):
    if(S[i:i+2] == "(("):
        ans.append("(")
        ans.append("1")
        ans.append("+")
    elif(S[i:i+2] == "()"):
        ans.append("(")
        ans.append("1")
        ans.append("+")
        ans.append("1")
    elif(S[i:i+2] == ")("):
        ans.append(")")
        ans.append("+")
    elif(S[i:i+2] == "))"):
        ans.append(")")
ans.append(S[-1])

v = ans.count("1")
if(v < K):
    print("Yes")
    print("".join(ans)+"+1"*(K-v))
elif(v > K):
    print("No")
else:
    anss = "".join(ans)
    try:
        eval(anss[1:-1])
        print("No")
    except:
        print("Yes")
        print(anss)