ll@N,@K,b=0,d=0,p=0;string@S,E{};rep(i,N){if(S[i]<41)++d,--K,E+=(i&&E.back()==41?"+(1+":"(1+");else b|=--d<0,p+=!d,i&&E.back()>41?--K,E+="1)":E+=")";}if(b|d|K<0|!K&p<2)wt("No");else{rep(K)E+="+1";wt("Yes\n"+E);}