N,K=map(int,input().split())
S=input()
sm=0
depth=0
mx_depth=0
ans=[]
for i,s in enumerate(S):
    if s=="(":
        if i>0 and S[i-1]==")":ans.append("+")
        ans.append(s)
        depth+=1
        mx_depth+=1
    else:
        if depth==mx_depth:ans.append("1+1"+s);sm+=2
        else:ans.append("+1"+s);sm+=1
        depth-=1
        if depth==0:mx_depth=0
if sm>K:exit(print("No"))
if sm==K:
    print("Yes")
    print("".join(ans))
else:
    while sm<K:
        ans.append("+1");sm+=1
    print("Yes")
    print("".join(ans))