#include <stdio.h>
#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000005
#define Inf64 4000000000000000001LL
string res = "";
void get(string &s,int &ci){
	ci++;
	int cc = 0;
	res += "(";
	while(true){
		if(s[ci]==')'){
			ci++;
			if(cc==0)res += "1+1)";
			else if(cc==1)res += "+1)";
			else res += ")";
			break;
		}
		if(cc>0)res += "+";
		get(s,ci);
		cc++;
	}
}
int main(){
	
	int n,k;
	cin>>n>>k;
	string s;
	cin>>s;
	int c = 0;
	string t = "";
	vector<string> ans;
	rep(i,n){
		if(s[i]=='(')c++;
		else c--;
		t += s[i];
		if(c<0){
			cout<<"No"<<endl;
			return 0;
		}
		if(c==0){
			int ci = 0;
			res = "";
			get(t,ci);
			ans.push_back(res);
			t = "";
		}	
	}
	if(c*2!=0){
		cout<<"No"<<endl;
		return 0;
	}
	string tt = "";
	rep(i,ans.size()){
		if(i!=0)tt += "+";
		tt += ans[i];
	}
	if(ans.size()==1)tt += "+1";
	rep(i,tt.size())if(tt[i]=='1')k--;
	if(k<0){
		cout<<"No"<<endl;
		return 0;
	}
	rep(i,k)tt += "+1";
	cout<<"Yes"<<endl;
	cout<<tt<<endl;
	return 0;
}