import sys
input = lambda : sys.stdin.readline().strip()
ni = lambda : int(input())
na = lambda : list(map(int, input().split()))
yes = lambda : print("yes"); Yes = lambda : print("Yes"); YES = lambda : print("YES")
no = lambda : print("no"); No = lambda : print("No"); NO = lambda : print("NO")

n, k = na()
S = input()
n = len(S)

res = []
a = [0] * n
s = 0

for i in range(n):
    if S[i] == "(":
        if a[s]:
            res.append("+")
        a[s] += 1
        s += 1
        res.append("(")
    else:
        if a[s] == 0:
            res.append("1+1)")
            k -= 2
        elif a[s] == 1:
            res.append("+1)")
            k -= 1
        else:
            res.append(")")
        a[s] = 0
        s -= 1
    if s < 0:
        No()
        exit()
if s != 0:
    No()
    exit()
    
if a[0] == 1:
    res.append("+1")
    k -= 1

# print("".join(res))
if k >= 0:
    Yes()
    print("".join(res + ["+1"] * k))
else:
    No()