import sys input = sys.stdin.readline N,K=map(int,input().split()) S=input().strip() flag=1 now=0 divideflag=0 for s in S: if s=="(": now+=1 else: now-=1 if now<0: flag=0 if now==0: divideflag+=1 LIST=[-1]*len(S) Q=[] for i in range(len(S)): if S[i]=="(": Q.append(i) else: x=Q.pop() LIST[i]=x LIST[x]=i if now!=0 or flag==0: print("No") exit() ANS=[] for i in range(len(S)): s=S[i] if ANS and ANS[-1]==")" and s=="(": ANS.append("+") if ANS and ANS[-1]=="(" and s==")": ANS.append("1+1") if ANS and ANS[-1]=="(" and s=="(": to=LIST[i] if to+1K: print("No") elif divideflag==1 and c==K: print("No") else: A+="+1"*(K-c) print("Yes") print(A)