#include <bits/stdc++.h>

using namespace std;

void fast_io() {
	ios::sync_with_stdio(false);
	std::cin.tie(nullptr);
}

int main() {
	fast_io();
	int n, k;
	cin >> n >> k;
	string s;
	cin >> s;
	int cnt = 0;
	for (char c : s) {
		if (c == '(') {
			cnt++;
		} else {
			cnt--;
		}
		if (cnt < 0) {
			cout << "No" << endl;
			return 0;
		}
	}
	if (cnt != 0) {
		cout << "No" << endl;
		return 0;
	}
	string ans = "";
	int cur = 0;
	for (int i = 0; i < n; i++) {
		if (s[i] == '(') {
			if (i && s[i - 1] != '(') {
				ans += "+";
			}
			ans += '(';
		} else if (ans.back() == '(') {
			ans += "1+1)";
			cur += 2;
		} else {
			ans += "+1)";
			cur += 1;
		}
	}
	if (cur > k) {
		cout << "No" << endl;
		return 0;
	}
	cout << "Yes" << endl;
	for (int i = 0; i < k - cur; i++) {
		ans += "+1";
	}
	cout << ans << "\n";
}