n,k=map(int,input().split()) s=input() t=0 m=1 ans=[] for c in s: if c=='(': if t==0:ans+=['+'] ans+=['('] t+=1 else: ans+=['+1'] ans+=[')'] t-=1 if t<0: m=0 if t!=0:m=0 ans=ans[1:] vans=[] for c in range(len(ans)-1): vans+=[ans[c]] if ans[c]=='(' and ans[c+1]=='+1': vans+=['1'] vans+=[ans[-1]] ans=vans #print(ans) if not m: print("No") exit() v=eval(''.join(ans)) if v>k: print("No") exit() for i in range(k-v): ans+=['+1'] print("Yes") print(''.join(ans))