#include <bits/stdc++.h>
using namespace std;
template <class T>
bool remin(T &a, const T &b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template <class T>
bool remax(T &a, const T &b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
int nxt() {
  int first;
  scanf("%" PRId32, &first);
  return first;
}
long long nxtll() {
  long long first;
  scanf("%" PRId64, &first);
  return first;
}
long long gcd(long long a, long long b) {
  a = abs(a);
  b = abs(b);
  while (b) {
    a %= b;
    swap(a, b);
  }
  return a;
}
struct pt {
  long long first, second;
  pt() {}
  pt(long long first, long long second) : first(first), second(second) {}
  inline pt operator-(const pt &r) const {
    return pt(first - r.first, second - r.second);
  }
  inline pt operator+(const pt &r) const {
    return pt(first + r.first, second + r.second);
  }
  inline pt operator*(const long double &r) const {
    return pt(first * r, second * r);
  }
  inline long long sqlen() const {
    return abs(first * first + second * second);
  }
  inline bool operator<(const pt &r) const {
    if (first != r.first) return first < r.first;
    return second < r.second;
  }
  inline bool operator==(const pt &r) const {
    return first == r.first && second == r.second;
  }
};
ostream &operator<<(ostream &os, const pt &p) {
  return os << "(" << p.first << "," << p.second << ")";
}
inline long long cross(const pt &l, const pt &r) {
  return l.first * r.second - l.second * r.first;
}
inline long long dot(const pt &l, const pt &r) {
  return l.first * r.first + l.second * r.second;
}
long long pwmod(long long a, long long n, long long mod) {
  long long ret = 1;
  while (n) {
    if (n & 1) ret = ret * a % mod;
    a = a * a % mod;
    n >>= 1;
  }
  return ret;
}
template <typename T>
inline T sqr(T first) {
  return first * first;
}
const int SZ = 20;
struct Data {
  map<int, pair<int, int> > s;
  void update(const pair<int, pair<int, int> > &d) {
    if (s.count(d.first)) {
      pair<int, int> &pa = s[d.first];
      remax(pa.first, d.second.first);
      remax(pa.second, d.second.second);
    } else {
      s[d.first] = d.second;
      if (s.size() > SZ) {
        auto it = s.end();
        --it;
        s.erase(it);
      }
    }
  }
  int getMoves() { return s.begin()->first; }
};
void solve() {
  int n;
  cin >> n;
  vector<string> c(n);
  vector<int> r(n);
  vector<int> b(n);
  for (int i = 0; i < (int)(n); i++) {
    cin >> c[i] >> r[i] >> b[i];
  }
  vector<Data> dp(1 << n);
  dp[0].s[0] = pair<int, int>(0, 0);
  for (int mask = 0; mask < (1 << n); ++mask) {
    int cntR = 0;
    int cntB = 0;
    for (int i = 0; i < (int)(n); i++) {
      if (mask & (1 << i)) {
        if (c[i] == "R") {
          cntR++;
        } else {
          cntB++;
        }
      }
    }
    for (int i = 0; i < (int)(n); i++) {
      if (mask & (1 << i)) {
        continue;
      }
      for (auto pa : dp[mask].s) {
        int MO = pa.first;
        int RED = pa.second.first;
        int BLUE = pa.second.second;
        {
          int nr = max(0, r[i] - cntR);
          int nb = max(0, b[i] - cntB);
          int hr = RED;
          int hb = 0;
          int moves = max(0, max(nr - hr, nb - hb));
          int Or = hr + moves - nr;
          int Ob = hb + moves - nb;
          assert(Or == 0 || Ob == 0);
          pair<int, pair<int, int> > to{MO + moves, pair<int, int>{Or, Ob}};
          dp[mask | (1 << i)].update(to);
        }
        {
          int nr = max(0, r[i] - cntR);
          int nb = max(0, b[i] - cntB);
          int hr = 0;
          int hb = BLUE;
          int moves = max(0, max(nr - hr, nb - hb));
          int Or = hr + moves - nr;
          int Ob = hb + moves - nb;
          assert(Or == 0 || Ob == 0);
          pair<int, pair<int, int> > to{MO + moves, pair<int, int>{Or, Ob}};
          dp[mask | (1 << i)].update(to);
        }
      }
    }
  }
  cout << dp.back().getMoves() + n << "\n";
}
void prepare() {}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  prepare();
  int t = 1;
  for (int i = 0; i < (int)(t); i++) {
    solve();
  }
  cerr << "Time " << clock() / (double)CLOCKS_PER_SEC << endl;
  return 0;
}

### Prompt

In CPP, your task is to solve the following problem:

One day, Hongcow goes to the store and sees a brand new deck of n special cards. Each individual card is either red or blue. He decides he wants to buy them immediately. To do this, he needs to play a game with the owner of the store.

This game takes some number of turns to complete. On a turn, Hongcow may do one of two things: 

  * Collect tokens. Hongcow collects 1 red token and 1 blue token by choosing this option (thus, 2 tokens in total per one operation). 
  * Buy a card. Hongcow chooses some card and spends tokens to purchase it as specified below. 



The i-th card requires ri red resources and bi blue resources. Suppose Hongcow currently has A red cards and B blue cards. Then, the i-th card will require Hongcow to spend max(ri - A, 0) red tokens, and max(bi - B, 0) blue tokens. Note, only tokens disappear, but the cards stay with Hongcow forever. Each card can be bought only once.

Given a description of the cards and their costs determine the minimum number of turns Hongcow needs to purchase all cards.

Input

The first line of input will contain a single integer n (1 ≤ n ≤ 16).

The next n lines of input will contain three tokens ci, ri and bi. ci will be 'R' or 'B', denoting the color of the card as red or blue. ri will be an integer denoting the amount of red resources required to obtain the card, and bi will be an integer denoting the amount of blue resources required to obtain the card (0 ≤ ri, bi ≤ 107).

Output

Output a single integer, denoting the minimum number of turns needed to acquire all the cards.

Examples

Input

3
R 0 1
B 1 0
R 1 1


Output

4


Input

3
R 3 0
R 2 0
R 1 0


Output

6

Note

For the first sample, Hongcow's four moves are as follows: 

  1. Collect tokens 
  2. Buy card 1
  3. Buy card 2
  4. Buy card 3

Note, at the fourth step, Hongcow is able to buy card 3 because Hongcow already has one red and one blue card, so we don't need to collect tokens.

For the second sample, one optimal strategy is as follows: 

  1. Collect tokens 
  2. Collect tokens 
  3. Buy card 2
  4. Collect tokens 
  5. Buy card 3
  6. Buy card 1

At the fifth step, even though Hongcow has a red token, Hongcow doesn't actually need to spend it, since Hongcow has a red card already.

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
template <class T>
bool remin(T &a, const T &b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template <class T>
bool remax(T &a, const T &b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
int nxt() {
  int first;
  scanf("%" PRId32, &first);
  return first;
}
long long nxtll() {
  long long first;
  scanf("%" PRId64, &first);
  return first;
}
long long gcd(long long a, long long b) {
  a = abs(a);
  b = abs(b);
  while (b) {
    a %= b;
    swap(a, b);
  }
  return a;
}
struct pt {
  long long first, second;
  pt() {}
  pt(long long first, long long second) : first(first), second(second) {}
  inline pt operator-(const pt &r) const {
    return pt(first - r.first, second - r.second);
  }
  inline pt operator+(const pt &r) const {
    return pt(first + r.first, second + r.second);
  }
  inline pt operator*(const long double &r) const {
    return pt(first * r, second * r);
  }
  inline long long sqlen() const {
    return abs(first * first + second * second);
  }
  inline bool operator<(const pt &r) const {
    if (first != r.first) return first < r.first;
    return second < r.second;
  }
  inline bool operator==(const pt &r) const {
    return first == r.first && second == r.second;
  }
};
ostream &operator<<(ostream &os, const pt &p) {
  return os << "(" << p.first << "," << p.second << ")";
}
inline long long cross(const pt &l, const pt &r) {
  return l.first * r.second - l.second * r.first;
}
inline long long dot(const pt &l, const pt &r) {
  return l.first * r.first + l.second * r.second;
}
long long pwmod(long long a, long long n, long long mod) {
  long long ret = 1;
  while (n) {
    if (n & 1) ret = ret * a % mod;
    a = a * a % mod;
    n >>= 1;
  }
  return ret;
}
template <typename T>
inline T sqr(T first) {
  return first * first;
}
const int SZ = 20;
struct Data {
  map<int, pair<int, int> > s;
  void update(const pair<int, pair<int, int> > &d) {
    if (s.count(d.first)) {
      pair<int, int> &pa = s[d.first];
      remax(pa.first, d.second.first);
      remax(pa.second, d.second.second);
    } else {
      s[d.first] = d.second;
      if (s.size() > SZ) {
        auto it = s.end();
        --it;
        s.erase(it);
      }
    }
  }
  int getMoves() { return s.begin()->first; }
};
void solve() {
  int n;
  cin >> n;
  vector<string> c(n);
  vector<int> r(n);
  vector<int> b(n);
  for (int i = 0; i < (int)(n); i++) {
    cin >> c[i] >> r[i] >> b[i];
  }
  vector<Data> dp(1 << n);
  dp[0].s[0] = pair<int, int>(0, 0);
  for (int mask = 0; mask < (1 << n); ++mask) {
    int cntR = 0;
    int cntB = 0;
    for (int i = 0; i < (int)(n); i++) {
      if (mask & (1 << i)) {
        if (c[i] == "R") {
          cntR++;
        } else {
          cntB++;
        }
      }
    }
    for (int i = 0; i < (int)(n); i++) {
      if (mask & (1 << i)) {
        continue;
      }
      for (auto pa : dp[mask].s) {
        int MO = pa.first;
        int RED = pa.second.first;
        int BLUE = pa.second.second;
        {
          int nr = max(0, r[i] - cntR);
          int nb = max(0, b[i] - cntB);
          int hr = RED;
          int hb = 0;
          int moves = max(0, max(nr - hr, nb - hb));
          int Or = hr + moves - nr;
          int Ob = hb + moves - nb;
          assert(Or == 0 || Ob == 0);
          pair<int, pair<int, int> > to{MO + moves, pair<int, int>{Or, Ob}};
          dp[mask | (1 << i)].update(to);
        }
        {
          int nr = max(0, r[i] - cntR);
          int nb = max(0, b[i] - cntB);
          int hr = 0;
          int hb = BLUE;
          int moves = max(0, max(nr - hr, nb - hb));
          int Or = hr + moves - nr;
          int Ob = hb + moves - nb;
          assert(Or == 0 || Ob == 0);
          pair<int, pair<int, int> > to{MO + moves, pair<int, int>{Or, Ob}};
          dp[mask | (1 << i)].update(to);
        }
      }
    }
  }
  cout << dp.back().getMoves() + n << "\n";
}
void prepare() {}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  prepare();
  int t = 1;
  for (int i = 0; i < (int)(t); i++) {
    solve();
  }
  cerr << "Time " << clock() / (double)CLOCKS_PER_SEC << endl;
  return 0;
}

```