n,k=map(int,input().split())
s=input()
t=0
m=1
ans=[]
st=[0]*(n+1)
for c in s:
	if c=='(':
		if st[-1]>0:ans+=['+']
		ans+=['(']
		st.append(0)
		t+=1
	else:
		v=st.pop()
		if v==0:
			ans+=['1'];v=1
		for j in range(2-v):
			ans+=['+1']
		ans+=[')']
		st[-1]+=1
		t-=1
	if t<0:
		m=0
if t!=0:m=0
if st[-1]<2:ans+=['+1']
if not m:
	print("No")
	exit()
v=''.join(ans).count('1')
if v>k:
	print("No")
	exit()
for i in range(k-v):
	ans+=['+1']
print("Yes")
print(''.join(ans))