#include <iostream>
#include <vector>
#include <algorithm>

class Set {
 private:

  std::vector<long long> vec;
  Set MergeSet(Set const second, Set const first) {
    Set tmp;
    tmp.vec.insert(tmp.vec.end(), second.vec.begin(), second.vec.end());
    tmp.vec.insert(tmp.vec.end(), first.vec.begin(), first.vec.end());
    return tmp;
  }
  int64_t BinSearchPosition(std::vector<int64_t> v, int64_t digit, int64_t left, int64_t right) {
    int64_t mid = (left + right) / 2;
    int64_t Digit_mid = v[mid];
    if (digit == Digit_mid)
      return -1;
    if (left + 1 == right)
      if (mid)return mid + 1;
      else return 0;
    if (digit > Digit_mid) return BinSearchPosition(v, digit, mid, right);
    else return BinSearchPosition(v, digit, left, mid);
  }

  int64_t BinSearch_Remove(std::vector<int64_t> v, int64_t digit, int64_t left, int64_t right) {
    int64_t mid = (left + right) / 2;
    int64_t Digit_mid = v[mid];
    if (digit == Digit_mid)
      return mid;
    if (left + 1 == right) return -1;
    if (digit > Digit_mid) return BinSearch_Remove(v, digit, mid, right);
    else return BinSearch_Remove(v, digit, left, mid);
  }

 public:

  Set(std::vector<long long> v) {
    sort(v.begin(), v.end());
    this->vec.push_back(v[0]);
    for (size_t i = 1; i < v.size(); i++) {
      if (v[i] != this->vec[this->vec.size() - 1]) {
        this->vec.push_back(v[i]);
      }
    }
  }
  Set() {
  }

  void Add(int64_t digit) {
    int64_t pos = BinSearchPosition(this->vec, digit, 0, vec.size());
    if (pos != -1) {
      this->vec.insert(vec.begin() + pos, digit);
    }

  }

  void Remove(int64_t digit) {
    int64_t pos = BinSearch_Remove(vec, digit, 0, vec.size());
    if (pos != -1) {
      for (int64_t i = pos; i < vec.size() - 1; i++) {
        this->vec[i] = vec[i + 1];
      }
      this->vec.pop_back();
    }
  }

  bool Contains(int64_t digit) {

    return BinSearchPosition(vec, digit, 0, vec.size()) == -1 ? true : false;
  }

  std::vector<long long> Data() {
//    for (size_t i = 0; i < vec.size(); i++) {
//      cout << this->vec[i] << " ";
//    }
//    cout << "\n";
    return this->vec;
  }
  Set &operator=(const Set &other) {
    this->vec.clear();
    this->vec.insert(this->vec.end(), other.vec.begin(), other.vec.end());
    return *this;
  }
  std::vector<long long> &operator=(std::vector<long long> other) {
    std::vector<long long> v;
    std::vector<long long> *p = &v;
    v.insert(this->vec.end(), other.begin(), other.end());
    return *p;
  }

  Set Union(const Set &second) {
    Set tmp_s(this->vec);
    if (tmp_s.vec[0] > second.vec[second.vec.size() - 1]) {
      return MergeSet(second, tmp_s);
    } else if ((tmp_s.vec[tmp_s.vec.size() - 1] < second.vec[0])) {
      return MergeSet(tmp_s, second);
    } else {
      for (int64_t i = 0; i < second.vec.size(); i++) {
        tmp_s.Add(second.vec[i]);
      }
    }
    return tmp_s;
  }

  Set Intersection(const Set &second) {
    Set TMP;
    if (this->vec[0] > second.vec[second.vec.size() - 1] or (this->vec[this->vec.size() - 1] < second.vec[0])) {
      return TMP;
    } else {
      for (int64_t i = 0; i < this->vec.size(); i++) {
        if (BinSearch_Remove(second.vec, this->vec[i], 0, second.vec.size()) != -1) {
          TMP.Add(this->vec[i]);
        }
      }

    }
    return TMP;
  }

  Set Difference(const Set &second) {
    Set TMP;
    if (this->vec[0] > second.vec[second.vec.size() - 1] or (this->vec[this->vec.size() - 1] < second.vec[0])) {
      return TMP;
    } else {
      for (int64_t i = 0; i < this->vec.size(); i++) {
        if (BinSearch_Remove(second.vec, this->vec[i], 0, second.vec.size()) == -1) {
          TMP.Add(this->vec[i]);
        }
      }
    }
    return TMP;
  }
  Set SymmetricDifference(const Set &second) {
    if (this->vec[0] > second.vec[second.vec.size() - 1] or (this->vec[this->vec.size() - 1] < second.vec[0])) {
      return MergeSet(*this, second);
    } else {
      std::vector<int64_t> tmp_vec(this->vec);
      tmp_vec.insert(tmp_vec.end(), second.vec.begin(), second.vec.end());
      return Set(tmp_vec);
    }
  }

};