Language: C++

/* Bismillahirrahmanirrahim */
/* Author : Jehian Norman Saviero (@Reiva5) */
#include <bits/stdc++.h>
 
// MACROS SAMPAH
#define Jehian using
#define Norman namespace
#define Saviero std
 
Jehian Norman Saviero;
 
// MACROS TYPE
typedef long l;
typedef long long ll;
typedef unsigned long ul;
typedef unsigned long long ull;
typedef double ld;
typedef pair<int,int> pi;
typedef pair<l,l> pl;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<l> vl;
typedef vector<ll> vll;
 
// MACROS FOR PRINT
#define nl printf("\n")
#define sp printf(" ")
 
// MACROS FOR ATTRIBUTE
#define fi first
#define se second
 
// MACROS FOR FUNCTION AND METHOD
#define eb emplace_back
#define mp make_pair
#define pb push_back
#define pf push_front
#define ppb pop_back
#define ppf pop_front
#define ALL(x) (x).begin(), (x).end()
#define ALLN(x,n) (x), (x)+(n)
#define CUBE(x) (SQR(x)*(x))
#define SET(x,y) for (int _qwe = sizeof(x)/sizeof(x[0]); _qwe; ) x[--_qwe] = (y)
#define SQR(x) ((x)*(x))
#define SSORT(x,sz) sort(ALLN(x,sz))
#define RESET(x) memset((x), 0, sizeof(x))
#define VSORT(x) sort(ALL(x))
 
// MACROS READ INPUT
#define sci(x) scanf("%d", &x)
#define scl(x) scanf("%ld", &x)
#define scll(x) scanf("%lld", &x)
#define scul(x) scl(x)
#define scull(x) scll(x)

string arranged;
vector<string> positive; // "(*" (Open bracket dominant and starting with open bracket)
vector<string> negative; // "*)" (Closed bracket dominant and ended with closed bracket)
vector<pair<pair<int,int>, string>> undefined; // "None of above"

int main() {
	int N;
	sci(N);
	for (int i = 0; i < N; ++i) {
		string s;
		cin >> s;
		int cnt = 0;
		cnt = 0;
		for (int i = 0; i < s.size(); ++i) {
			cnt += s[i] == '(' ? 1 : -1;
			if (cnt < 0) ++un_calculated_negative, cnt = 0;
		}
		cnt = 0;
		for (int i = s.size()-1; i >= 0; --i) {
			cnt += s[i] == ')' ? -1 : 1;
			if (cnt > 0) ++un_calculated_positive, cnt = 0;
		}
		undefined.push_back({{un_calculated_negative, -un_calculated_positive}, s});
	}
	for (auto &it : positive) {
		arranged += it;
	}
	VSORT(undefined);
	for (auto &it : undefined) {
		arranged += it.se;
	}
	for (auto &it : negative) {
		arranged += it;
	}
	bool valid = 1;
	int cnt = 0;
	for (auto &it : arranged) {
		cnt += it == '(' ? 1 : -1;
		valid = valid && cnt >= 0;
	}
	if (valid && cnt == 0) {
		printf("Yes\n");
	} else {
		printf("No\n");
	}
	return 0;
}

Compiler output:
a.cc: In function 'int main()':
a.cc:71:40: error: 'un_calculated_negative' was not declared in this scope
   71 |                         if (cnt < 0) ++un_calculated_negative, cnt = 0;
      |                                        ^~~~~~~~~~~~~~~~~~~~~~
a.cc:76:40: error: 'un_calculated_positive' was not declared in this scope
   76 |                         if (cnt > 0) ++un_calculated_positive, cnt = 0;
      |                                        ^~~~~~~~~~~~~~~~~~~~~~
a.cc:78:39: error: 'un_calculated_negative' was not declared in this scope
   78 |                 undefined.push_back({{un_calculated_negative, -un_calculated_positive}, s});
      |                                       ^~~~~~~~~~~~~~~~~~~~~~
a.cc:78:64: error: 'un_calculated_positive' was not declared in this scope
   78 |                 undefined.push_back({{un_calculated_negative, -un_calculated_positive}, s});
      |                                                                ^~~~~~~~~~~~~~~~~~~~~~
a.cc:78:36: error: no matching function for call to 'std::vector<std::pair<std::pair<int, int>, std::__cxx11::basic_string<char> > >::push_back(<brace-enclosed initializer list>)'
   78 |                 undefined.push_back({{un_calculated_negative, -un_calculated_positive}, s});
      |                 ~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/14/vector:66,
                 from /usr/include/c++/14/functional:64,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:53,
                 from a.cc:3:
/usr/include/c++/14/bits/stl_vector.h:1283:7: note: candidate: 'void std::vector<_Tp, _Alloc>::push_back(const value_type&) [with _Tp = std::pair<std::pair<int, int>, std::__cxx11::basic_string<char> >; _Alloc = std::allocator<std::pair<std::pair<int, int>, std::__cxx11::basic_string<char> > >; value_type = std::pair<std::pair<int, int>, std::__cxx11::basic_string<char> >]'
 1283 |       push_back(const value_type& __x)
      |       ^~~~~~~~~
/usr/include/c++/14/bits/stl_vector.h:1283:35: note:   no known conversion for argument 1 from '<brace-enclosed initializer list>' to 'const std::vector<std::pair<std::pair<int, int>, std::__cxx11::basic_string<char> > >::value_type&' {aka 'const std::pair<std::pair<int, int>, std::__cxx11::basic_string<char> >&'}
 1283 |       push_back(const value_type& __x)
      |                 ~~~~~~~~~~~~~~~~~~^~~
/usr/include/c++/14/bits/stl_vector.h:1300:7: note: candidate: 'void std::vector<_Tp, _Alloc>::push_back(value_type&&) [with _Tp = std::pair<std::pair<int, int>, std::__cxx11::basic_string<char> >; _Alloc = std::allocator<std::pair<std::pair<int, int>, std::__cxx11::basic_string<char> > >; value_type = std::pair<std::pair<int, int>, std::__cxx11::basic_string<char> >]'
 1300 |       push_back(value_type&& __x)
      |       ^~~~~~~~~
/usr/include/c++/14/bits/stl_vector.h:1300:30: note:   no known conversion for argument 1 from '<brace-enclosed initializer list>' to 'std::vector<std::pair<std::pair<int, int>, std::__cxx11::basic_string<char> > >::value_type&&' {aka 'std::pair<std::pair<int, int>, std::__cxx11::basic_string<char> >&&'}
 1300 |       push_back(value_type&& __x)
      |                 ~~~~~~~~~~~~~^~~