n,k=map(int,input().split())
s=input()
t=s
q=[]
f=0
for i in range(n):
  c=s[i]
  q+=c,
  if q[-2:]==[*'()']:
    q.pop()
    q.pop()
  if not q and i+1<n:
    f=1
if q:
  exit(print('No'))
s=t.count('()')
t=t.replace('()','(1)')
s+=t.count('(')
t=t.replace('(','(1+')
t=t.replace(')(',')+(')
if f<1:
  t+='+1'
  s+=1
# s=eval(t)
if s>k:
  exit(print('No'))
print('Yes')
print(t+'+1'*(k-s))