#include<stdio.h>
char s[100005];
int cnt[100005];
int main()
{
	int n, k;
	scanf("%d %d", &n, &k);
	scanf("%s", s);
	int i;
	int val, depth;
	val = 0;
	for (i = 0; i < n; i++)
	{
		if (s[i] == '(')
			val++;
		else
			val--;
		if (val < 0)
		{
			printf("No\n");
			return 0;
		}
	}
	if (val > 0)
	{
		printf("No\n");
		return 0;
	}
	val = depth = 0;
	cnt[0] = 0;
	for (i = 0; i < n; i++)
	{
		if (s[i] == '(')
		{
			depth++;
			cnt[depth] = 0;
		}
		else
		{
			if (cnt[depth] == 0)
				val += 2;
			else if (cnt[depth] == 1)
				val += 1;
			depth--;
			cnt[depth]++;
		}
	}
	if (cnt[0] == 1)
		val++;
	if (val > k)
	{
		printf("No\n");
		return 0;
	}
	printf("Yes\n");
	cnt[0] = 0;
	val = depth = 0;
	for (i = 0; i < n; i++)
	{
		if (s[i] == '(')
		{
			depth++;
			cnt[depth] = 0;
			printf("(");
		}
		else
		{
			if (cnt[depth] == 0)
			{
				printf("1+1");
				val += 2;
			}
			else if (cnt[depth] == 1)
			{
				printf("+1");
				val++;
			}
			printf(")");
			if (s[i + 1] == '(')
				printf("+");
			depth--;
			cnt[depth]++;
		}
	}
	for (i = val; i < k; i++)
		printf("+1");
	printf("\n");
	return 0;
}