#include <bits/stdc++.h>
using namespace std;

#define rep(i, n) for (int i = 0; i < (int)n; i++)

int main() {
  int n, k;
  cin >> n >> k;
  string s;
  cin >> s;
  
  string t = "";
  int c = 0;
  char st[n];
  int sti = 0;
  int lvl = 0;
  vector<int> pls(n, 0);
  rep(i, n) {
    if (s[i] == '(') {
      st[sti] = s[i]; sti++;
      
      if (i > 0 && (t[(int)t.size() - 1] == ')')) {
	t += "+";
	pls[lvl]++;
      }
      lvl++;
      t += s[i];
    }
    if (s[i] == ')') {
      if (st[sti - 1] == '(')
	sti--;
      else {
	cout << "No" << endl;
	return 0;
      }
      
      if (t[(int)t.size() - 1] == '(') {
	t += "1+1";
	c += 2;
	pls[lvl]++;
      } else {
	if (pls[lvl] == 0) {
	  t += "+1";
	  c += 1;
	}
      }
      pls[lvl] = 0;
      lvl--;
      t += s[i];
    }
  }
  if (sti > 0) {
    cout << "No" << endl;
    return 0;
  }
  
  while (c < k) {
    pls[0]++;
    t += "+1";
    c++;
  }
  if (pls[0] > 0 && k == c)
    cout << "Yes" << endl << t << endl;
  else
    cout << "No" << endl;
  return 0;
}