Problem p02686 (C++) — buggy submission, verdict: Runtime Error

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

#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define F0R(i, a) FOR(i, 0, a)
#define ROF(i, a, b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i, a) ROF(i, 0, a)

using ll = long long;
using ld = long double;
ll INF = LLONG_MAX;

using vi = vector<int>;
using vll = vector<ll>;
using pii = pair<int, int>;
using pll = pair<ll, ll>;

namespace output {
void pr(int x) { cout << x; }
void pr(long x) { cout << x; }
void pr(ll x) { cout << x; }
void pr(unsigned x) { cout << x; }
void pr(unsigned long x) { cout << x; }
void pr(unsigned long long x) { cout << x; }
void pr(float x) { cout << x; }
void pr(double x) { cout << x; }
void pr(ld x) { cout << x; }
void pr(char x) { cout << x; }
void pr(const char *x) { cout << x; }
void pr(const string &x) { cout << x; }
void pr(bool x) { pr(x ? "true" : "false"); }
template <class T> void pr(const complex<T> &x) { cout << x; }

template <class T1, class T2> void pr(const pair<T1, T2> &x);
template <class T> void pr(const T &x);

template <class T, class... Ts> void pr(const T &t, const Ts &...ts) {
  pr(t);
  pr(ts...);
}
template <class T1, class T2> void pr(const pair<T1, T2> &x) {
  pr("{", x.first, ", ", x.second, "}");
}
template <class T> void pr(const T &x) {
  pr("{"); // const iterator needed for vector<bool>
  bool fst = 1;
  for (const auto &a : x)
    pr(!fst ? ", " : "", a), fst = 0;
  pr("}");
}

void print() { pr("\\n"); } // print w/ spaces
template <class T, class... Ts> void print(const T &t, const Ts &...ts) {
  pr(t);
  if (sizeof...(ts))
    pr(" ");
  print(ts...);
}
} // namespace output

using namespace output;

int main() {
  ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
  ll N;
  cin >> N;
  vector<pll> data(N);
  F0R(i, N) {
    string S;
    cin >> S;
    ll total = 0;
    ll deep = 0;
    for (char c : S) {
      if (c == '(')
        ++total;
      if (c == ')')
        --total;
      deep = min(deep, total);
    }
    data[i] = {deep, total};
  }

  ll sum = 0;
  for (pll d : data)
    sum += d.second;

  if (sum != 0) {
    print("No");
    return 0;
  }

  sort(data.begin(), data.end(), [](const auto &lhs, const auto &rhs) {
    if ((lhs.second >= 0) ^ (rhs.second >= 0)) {
      return lhs.second >= 0;
    } else if (lhs.second >= 0) {
      return lhs.first > rhs.first;
    } else {
      return lhs.second - lhs.first > rhs.second - rhs.first;
    }
  });

  ll total = 0;
  for (pll d : data) {
    if (total + d.first < 0) {
      print("No");
      return 0;
    }
    total += d.second;
  }
  print("Yes");
}

Error: 0

Fixed submission:

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

#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define F0R(i, a) FOR(i, 0, a)
#define ROF(i, a, b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i, a) ROF(i, 0, a)

using ll = long long;
using ld = long double;
ll INF = LLONG_MAX;

using vi = vector<int>;
using vll = vector<ll>;
using pii = pair<int, int>;
using pll = pair<ll, ll>;

namespace output {
void pr(int x) { cout << x; }
void pr(long x) { cout << x; }
void pr(ll x) { cout << x; }
void pr(unsigned x) { cout << x; }
void pr(unsigned long x) { cout << x; }
void pr(unsigned long long x) { cout << x; }
void pr(float x) { cout << x; }
void pr(double x) { cout << x; }
void pr(ld x) { cout << x; }
void pr(char x) { cout << x; }
void pr(const char *x) { cout << x; }
void pr(const string &x) { cout << x; }
void pr(bool x) { pr(x ? "true" : "false"); }
template <class T> void pr(const complex<T> &x) { cout << x; }

template <class T1, class T2> void pr(const pair<T1, T2> &x);
template <class T> void pr(const T &x);

template <class T, class... Ts> void pr(const T &t, const Ts &...ts) {
  pr(t);
  pr(ts...);
}
template <class T1, class T2> void pr(const pair<T1, T2> &x) {
  pr("{", x.first, ", ", x.second, "}");
}
template <class T> void pr(const T &x) {
  pr("{"); // const iterator needed for vector<bool>
  bool fst = 1;
  for (const auto &a : x)
    pr(!fst ? ", " : "", a), fst = 0;
  pr("}");
}

void print() { pr("\\n"); } // print w/ spaces
template <class T, class... Ts> void print(const T &t, const Ts &...ts) {
  pr(t);
  if (sizeof...(ts))
    pr(" ");
  print(ts...);
}
} // namespace output

using namespace output;

int main() {
  ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
  ll N;
  cin >> N;
  vector<pll> data(N);
  F0R(i, N) {
    string S;
    cin >> S;
    ll total = 0;
    ll deep = 0;
    for (char c : S) {
      if (c == '(')
        ++total;
      if (c == ')')
        --total;
      deep = min(deep, total);
    }
    data[i] = {deep, total};
  }

  ll sum = 0;
  for (pll d : data)
    sum += d.second;

  if (sum != 0) {
    print("No");
    return 0;
  }

  sort(data.begin(), data.end(), [](const auto &lhs, const auto &rhs) {
    if ((lhs.second >= 0) ^ (rhs.second >= 0)) {
      return lhs.second >= 0;
    } else {
      return lhs.first - lhs.second >= rhs.first - rhs.second;
    }
  });

  ll total = 0;
  for (pll d : data) {
    if (total + d.first < 0) {
      print("No");
      return 0;
    }
    total += d.second;
  }
  print("Yes");
}