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

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

using Counter = int64_t;
constexpr Counter INF = 1000000000000000000LL;
constexpr size_t NONE_SIZE_T = std::numeric_limits<size_t>::max();

struct Instruction {
  Counter full = 0;
  Counter best = -INF;
  bool used = false;
};

struct Program {
  vector<Instruction> instructions;
  bool first_start_only = false;

  explicit Program(std::istream &input);
};

Program::Program(std::istream &input) {
  size_t num_ops;
  input >> num_ops;
  instructions.reserve((num_ops + 1)/2);
  Instruction current_instruction;
  Counter current_val = 0;
  bool current_instruction_exists = false;
  bool seen_w = false;
  for (size_t i=0; i<num_ops; ++i) {
    char op;
    input >> op;
    switch (op) {
      case 'W': {
        if (current_instruction_exists) {
          instructions.push_back(current_instruction);
          if (!seen_w) first_start_only = true;
        }
        seen_w = true;
        current_instruction = Instruction{};
        current_val = 0;
        current_instruction_exists = false;
      }
      break;
      case 'Z': {
        current_instruction.best = std::max(current_instruction.best, current_val);
        current_instruction.full = current_val;
        current_instruction_exists = true;
      }
      break;
      case '+': {
        int x;
        input >> x;
        current_val -= x;
      }
      break;
      case '-': {
        int x;
        input >> x;
        current_val += x;
      }
      break;
      default: {
        assert(false);
      }
      break;
    }
  }
  if (current_instruction_exists) {
    instructions.push_back(current_instruction);
    if (!seen_w) first_start_only = true;
  }
}

struct EndpointProposal {
  size_t program_idx = NONE_SIZE_T;
  Counter value = -INF;
};

void insert_proposal(std::array<EndpointProposal, 2> &arr, const EndpointProposal &proposal) {
  if (proposal.value > arr[0].value) {
    arr[1] = arr[0];
    arr[0] = proposal;
  } else if (proposal.value > arr[1].value) {
    arr[1] = proposal;
  }
}

void erase_proposal(std::array<EndpointProposal, 2> &arr, size_t program_idx) {
  if (arr[1].program_idx == program_idx) {
    arr[1] = EndpointProposal{};
  } else if (arr[0].program_idx == program_idx) {
    arr[0] = arr[1];
    arr[1] = EndpointProposal{};
  }
}

class System {
public:
  explicit System(std::istream &input);
  Counter solve();
private:
  void try_individual();
  void try_greedy();
  void try_with_large(bool start_large, bool end_large);
  void find_best_proposals(std::array<EndpointProposal, 2> &start_proposals,
                           std::array<EndpointProposal, 2> &end_proposals,
                           EndpointProposal *&start,
                           EndpointProposal *&end);

  Counter best_score = -INF;
  vector<Program> programs;
  Program *large_program = nullptr;
};

System::System(std::istream &input) {
  size_t num_programs;
  input >> num_programs;
  programs.reserve(num_programs);
  for(size_t i=0; i<num_programs; ++i) {
    Program program(input);
    if (!program.instructions.empty()) {
      programs.push_back(std::move(program));
    }
  }
}

Counter System::solve() {
  if (programs.empty()) return 0;
  try_individual();
  try_greedy();
  if (large_program) {
    for (bool start_large : {false, true}) {
      for (bool end_large : {false, true}) {
        try_with_large(start_large, end_large);
      }
    }
  }
  return best_score;
}

void System::try_individual() {
  for (const Program &program : programs) {
    Counter counter = 0;
    for (const Instruction &instruction: program.instructions) {
      counter += instruction.full;
    }
    best_score = std::max(best_score, counter);
  }
}

void System::find_best_proposals(std::array<EndpointProposal, 2> &start_proposals,
                                 std::array<EndpointProposal, 2> &end_proposals,
                                 EndpointProposal *&start,
                                 EndpointProposal *&end) {
  start = &start_proposals[0];
  end = &end_proposals[0];
  if (start->program_idx!=NONE_SIZE_T &&
      end->program_idx!=NONE_SIZE_T &&
      start->program_idx == end->program_idx &&
      programs[start->program_idx].instructions.size() == 1) {
    // Can't use the same endpoint.
    if (start_proposals[1].value > end_proposals[1].value) {
      ++start;
    } else {
      ++end;
    }
  }
}

void System::try_greedy() {
  std::vector<int> used_counts(programs.size(), 0u);
  int total_used_count = 0;
  std::array<EndpointProposal, 2> start_proposals = {};
  std::array<EndpointProposal, 2> end_proposals = {};
  Counter score = 0;

  for (size_t program_idx=0; program_idx < programs.size(); ++program_idx) {
    Program &program = programs[program_idx];
    for (Instruction &instruction: program.instructions) {
      instruction.used = false;
      if (instruction.best > 0 &&
          !(program.first_start_only && &instruction == &program.instructions.front())) {
        instruction.used = true;
        score += instruction.best;
        ++used_counts[program_idx];
        ++total_used_count;
      }
    }
    {
      const Instruction &instruction = program.instructions.front();
      EndpointProposal proposal;
      proposal.program_idx = program_idx;
      if (instruction.used) {
        proposal.value = 0;
      } else {
        proposal.value = instruction.best;
      }
      insert_proposal(start_proposals, proposal);
    }
    {
      const Instruction &instruction = program.instructions.back();
      if (!(program.first_start_only && &instruction == &program.instructions.front())) {
        // can use as an endpoint
        EndpointProposal proposal;
        proposal.program_idx = program_idx;
        if (instruction.used) {
          proposal.value = instruction.full - instruction.best;
        } else {
          proposal.value = instruction.full;
        }
        insert_proposal(end_proposals, proposal);
      }
    }
  }
  EndpointProposal *start;
  EndpointProposal *end;
  find_best_proposals(start_proposals, end_proposals, start, end);
  if (start->program_idx==NONE_SIZE_T || end->program_idx==NONE_SIZE_T) {
    // Impossible.
    return;
  }
  {
    score += start->value;
    Instruction &instruction = programs[start->program_idx].instructions.front();
    if (!instruction.used) {
      instruction.used = true;
      ++used_counts[start->program_idx];
      ++total_used_count;
    }
  }
  {
    score += end->value;
    Instruction &instruction = programs[end->program_idx].instructions.back();
    if (!instruction.used) {
      instruction.used = true;
      ++used_counts[end->program_idx];
      ++total_used_count;
    }
  }

  for (size_t program_idx = 0; program_idx < programs.size(); ++program_idx) {
    const int other_middle =
      total_used_count
      - used_counts[program_idx]
      - (start->program_idx != program_idx)
      - (end->program_idx != program_idx);

    if (used_counts[program_idx] - 1 > other_middle) {
      // Not enough other middle to fill the gaps.
      large_program = &programs[program_idx];
      return;
    }
  }

  best_score = std::max(best_score, score);
}

struct LargeDecrementEntry {
  Counter value = -INF;
  size_t prev = NONE_SIZE_T;
  size_t next = NONE_SIZE_T;
};

struct LargeDecrementEntryQueueElem {
  size_t idx = NONE_SIZE_T;
  Counter value = -INF;
};

inline bool operator<(const LargeDecrementEntryQueueElem &a,
                      const LargeDecrementEntryQueueElem &b)
{
  return a.value < b.value;
}

struct AddInstructionQueueElem {
  size_t program_idx = NONE_SIZE_T;
  size_t instruction_idx = NONE_SIZE_T;
  Counter value = -INF;
};

inline bool operator<(const AddInstructionQueueElem &a, const AddInstructionQueueElem &b) {
  return a.value < b.value;
}

void System::try_with_large(const bool start_large, const bool end_large) {
  if (start_large && end_large && large_program->instructions.size() == 1) return;
  if (!start_large && large_program->instructions.size() == 1 && large_program->first_start_only) return;

  int large_used_count = 0;
  int other_used_count = 0;
  Counter score = 0;

  // Process large program and initialize large decrement priority queue.

  Counter gap = -INF;
  vector<LargeDecrementEntry> large_decrement_entries;
  large_decrement_entries.reserve(large_program->instructions.size());

  for (Instruction &instruction : large_program->instructions) {
    instruction.used = false;
    bool erasing_forbidden = false;
    Counter instruction_score = 0;
    if (start_large && &instruction == &large_program->instructions.front()) {
      instruction.used = true;
      erasing_forbidden = true;
      instruction_score = instruction.best;
    } else if (end_large && &instruction == &large_program->instructions.back()) {
      instruction.used = true;
      erasing_forbidden = true;
      instruction_score = instruction.full;
    } else if (&instruction == &large_program->instructions.front() && large_program->first_start_only) {
      // don't use
    } else if (instruction.best > 0) {
      instruction.used = true;
      instruction_score = instruction.best;
    }

    if (instruction.used) {
      ++large_used_count;
      score += instruction_score;
      if (!large_decrement_entries.empty()) {
        LargeDecrementEntry entry;
        entry.value = gap;
        entry.prev = large_decrement_entries.size() - 1;
        large_decrement_entries.back().next = large_decrement_entries.size();
        large_decrement_entries.push_back(entry);
      }
      {
        LargeDecrementEntry entry;
        entry.value = erasing_forbidden ? -INF : -instruction_score;
        if (!large_decrement_entries.empty()) {
          entry.prev = large_decrement_entries.size() - 1;
          large_decrement_entries.back().next = large_decrement_entries.size();
        }
        large_decrement_entries.push_back(entry);
      }
      gap = instruction.full - instruction_score;
    } else {
      gap += instruction.full;
    }
  }

  std::priority_queue<LargeDecrementEntryQueueElem> large_decrement_queue;
  for (size_t i=0; i<large_decrement_entries.size(); ++i) {
    LargeDecrementEntryQueueElem elem;
    elem.idx = i;
    elem.value = large_decrement_entries[i].value;
    large_decrement_queue.push(elem);
  }

  // Process other programs and initialize queues.
  
  // [at start][at end]
  std::priority_queue<AddInstructionQueueElem> add_instruction_queue[2][2];
  std::array<EndpointProposal, 2> start_proposals = {};
  std::array<EndpointProposal, 2> end_proposals = {};

  for (size_t program_idx = 0; program_idx < programs.size(); ++program_idx) {
    Program &program = programs[program_idx];
    if (&program == large_program) continue;

    for (size_t instruction_idx=0; instruction_idx < program.instructions.size(); ++instruction_idx) {
      Instruction &instruction = program.instructions[instruction_idx];
      instruction.used = false;

      const bool at_start = instruction_idx == 0;
      const bool at_end = instruction_idx == program.instructions.size() - 1;

      if (program.first_start_only && at_start) {
        // never add
      } else if (instruction.best > 0) {
        instruction.used = true;
        score += instruction.best;
        ++other_used_count;
      } else {
        AddInstructionQueueElem elem;
        elem.program_idx = program_idx;
        elem.instruction_idx = instruction_idx;
        elem.value = instruction.best;
        add_instruction_queue[at_start][at_end].push(elem);
      }
    }

    if (!start_large) {
      const Instruction &instruction = program.instructions.front();
      EndpointProposal proposal;
      proposal.program_idx = program_idx;
      if (instruction.used) {
        proposal.value = 0;
      } else {
        proposal.value = instruction.best;
      }
      insert_proposal(start_proposals, proposal);
    }

    if (!end_large) {
      const Instruction &instruction = program.instructions.back();
      if (!(program.first_start_only && &instruction == &program.instructions.front())) {
        // can use as an endpoint
        EndpointProposal proposal;
        proposal.program_idx = program_idx;
        if (instruction.used) {
          proposal.value = instruction.full - instruction.best;
        } else {
          proposal.value = instruction.full;
        }
        insert_proposal(end_proposals, proposal);
      }
    }
  }

  // Repeatedly make improvements while necessary.
  for (;;) {
    EndpointProposal *start;
    EndpointProposal *end;
    find_best_proposals(start_proposals, end_proposals, start, end);
    if (!start_large && start->program_idx == NONE_SIZE_T) {
      // impossible
      return;
    }
    if (!end_large && end->program_idx == NONE_SIZE_T) {
      // impossible
      return;
    }

    int other_middle = other_used_count;
    if (!start_large && programs[start->program_idx].instructions.front().used) {
      --other_middle;
    }
    if (!end_large && programs[end->program_idx].instructions.back().used) {
      --other_middle;
    }
    if (large_used_count - 1 <= other_middle) {
      // We are OK!
      if (!start_large) score += start->value;
      if (!end_large) score += end->value;
      best_score = std::max(best_score, score);
      return;
    }

    // Pick an improvement from one of 5 priority queues.
    int best_queue = -1;
    Counter best_value = -INF/2;
    while (!large_decrement_queue.empty()) {
      const auto &qe = large_decrement_queue.top();
      const auto &entry = large_decrement_entries[qe.idx];
      if (entry.value != qe.value) {
        // lazily clean queue and repeat
        large_decrement_queue.pop();
        continue;
      }
      // Don't allow merging the whole large program.
      if (start_large && end_large &&
          entry.prev == 0 &&
          entry.next == large_decrement_entries.size() - 1)
      { 
        break;
      }
      const Counter val = large_decrement_queue.top().value;
      if (val > best_value) {
        best_queue = 4;
        best_value = val;
      }
      break;
    }

    for (int at_start=0; at_start<2; ++at_start) {
      for (int at_end=0; at_end<2; ++at_end) {
        const auto &q = add_instruction_queue[at_start][at_end];
        if (!q.empty()) {
          const auto &entry = q.top();
          Counter val = entry.value;
          // simulate update
          std::array<EndpointProposal, 2> new_start_proposals = start_proposals;
          std::array<EndpointProposal, 2> new_end_proposals = end_proposals;
          if (at_start && !start_large) {
            EndpointProposal proposal;
            proposal.program_idx = entry.program_idx;
            proposal.value = 0;
            erase_proposal(new_start_proposals, proposal.program_idx);
            insert_proposal(new_start_proposals, proposal);
          }
          if (at_end && !end_large) {
            Instruction &instruction = programs[entry.program_idx].instructions.back();
            EndpointProposal proposal;
            proposal.program_idx = entry.program_idx;
            proposal.value = instruction.full - instruction.best;
            erase_proposal(new_end_proposals, proposal.program_idx);
            insert_proposal(new_end_proposals, proposal);
          }
          EndpointProposal *new_start;
          EndpointProposal *new_end;
          find_best_proposals(new_start_proposals, new_end_proposals, new_start, new_end);
          if (!start_large) {
            val += new_start->value - start->value;
          }
          if (!end_large) {
            val += new_end->value - end->value;
          }

          if (val > best_value) {
            best_queue = 2*at_start+at_end;
            best_value = val;
          }
        }
      }
    }
    if (best_queue == -1) {
      // no more improvements
      return;
    } else if (best_queue == 4) {
      // large decrement
      const size_t idx = large_decrement_queue.top().idx;
      large_decrement_queue.pop();
      auto &entry = large_decrement_entries[idx];
      --large_used_count;
      score += entry.value;
      if (entry.prev == NONE_SIZE_T && entry.next == NONE_SIZE_T) {
        // last entry
        entry.value = -INF;
      } else if (entry.prev == NONE_SIZE_T) {
        // first entry: also erase next gap
        auto &next_entry = large_decrement_entries[entry.next];
        assert(next_entry.next != NONE_SIZE_T);
        auto &next_next_entry = large_decrement_entries[next_entry.next];
        next_next_entry.prev = NONE_SIZE_T;
        next_entry.value = -INF;
      } else if (entry.next == NONE_SIZE_T) {
        // last entry: also erase prev gap
        auto &prev_entry = large_decrement_entries[entry.prev];
        assert(prev_entry.prev != NONE_SIZE_T);
        auto &prev_prev_entry = large_decrement_entries[prev_entry.prev];
        prev_prev_entry.next = NONE_SIZE_T;
        prev_entry.value = -INF;
      } else {
        // middle entry: merge with two neighbors
        auto &prev_entry = large_decrement_entries[entry.prev];
        auto &next_entry = large_decrement_entries[entry.next];
        entry.value = prev_entry.value + next_entry.value - entry.value;
        prev_entry.value = -INF;
        next_entry.value = -INF;
        entry.prev = prev_entry.prev;
        entry.next = next_entry.next;
        if (entry.prev != NONE_SIZE_T) {
          large_decrement_entries[entry.prev].next = idx;
        }
        if (entry.next != NONE_SIZE_T) {
          large_decrement_entries[entry.next].prev = idx;
        }
        LargeDecrementEntryQueueElem new_elem;
        new_elem.idx = idx;
        new_elem.value = entry.value;
        large_decrement_queue.push(new_elem);
      }
    } else {
      // other increment
      const bool at_start = best_queue >> 1;
      const bool at_end = best_queue & 1;
      auto &q = add_instruction_queue[at_start][at_end];
      const auto entry = q.top();
      q.pop();
      Instruction &instruction = programs[entry.program_idx].instructions[entry.instruction_idx];
      assert(!instruction.used);
      instruction.used = true;
      score += instruction.best;
      ++other_used_count;
      if (at_start && !start_large) {
        EndpointProposal proposal;
        proposal.program_idx = entry.program_idx;
        proposal.value = 0;
        erase_proposal(start_proposals, proposal.program_idx);
        insert_proposal(start_proposals, proposal);
      }
      if (at_end && !end_large) {
        EndpointProposal proposal;
        proposal.program_idx = entry.program_idx;
        proposal.value = instruction.full - instruction.best;
        erase_proposal(end_proposals, proposal.program_idx);
        insert_proposal(end_proposals, proposal);
      }
    }
  }
}

int main() {
  init_io();
  int ntc;
  std::cin >> ntc;
  for (int tc=0; tc<ntc; ++tc) {
    System system(std::cin);
    Counter res = system.solve();
    std::cout << (-res) << "\n";
  }
}

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

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

using Counter = int64_t;
constexpr Counter INF = 1000000000000000000LL;
constexpr size_t NONE_SIZE_T = std::numeric_limits<size_t>::max();

struct Instruction {
  Counter full = 0;
  Counter best = -INF;
  bool used = false;
};

struct Program {
  vector<Instruction> instructions;
  bool first_start_only = false;

  explicit Program(std::istream &input);
};

Program::Program(std::istream &input) {
  size_t num_ops;
  input >> num_ops;
  instructions.reserve((num_ops + 1)/2);
  Instruction current_instruction;
  Counter current_val = 0;
  bool current_instruction_exists = false;
  bool seen_w = false;
  for (size_t i=0; i<num_ops; ++i) {
    char op;
    input >> op;
    switch (op) {
      case 'W': {
        if (current_instruction_exists) {
          instructions.push_back(current_instruction);
          if (!seen_w) first_start_only = true;
        }
        seen_w = true;
        current_instruction = Instruction{};
        current_val = 0;
        current_instruction_exists = false;
      }
      break;
      case 'Z': {
        current_instruction.best = std::max(current_instruction.best, current_val);
        current_instruction.full = current_val;
        current_instruction_exists = true;
      }
      break;
      case '+': {
        int x;
        input >> x;
        current_val -= x;
      }
      break;
      case '-': {
        int x;
        input >> x;
        current_val += x;
      }
      break;
      default: {
        assert(false);
      }
      break;
    }
  }
  if (current_instruction_exists) {
    instructions.push_back(current_instruction);
    if (!seen_w) first_start_only = true;
  }
}

struct EndpointProposal {
  size_t program_idx = NONE_SIZE_T;
  Counter value = -INF;
};

void insert_proposal(std::array<EndpointProposal, 2> &arr, const EndpointProposal &proposal) {
  if (proposal.value > arr[0].value) {
    arr[1] = arr[0];
    arr[0] = proposal;
  } else if (proposal.value > arr[1].value) {
    arr[1] = proposal;
  }
}

void erase_proposal(std::array<EndpointProposal, 2> &arr, size_t program_idx) {
  if (arr[1].program_idx == program_idx) {
    arr[1] = EndpointProposal{};
  } else if (arr[0].program_idx == program_idx) {
    arr[0] = arr[1];
    arr[1] = EndpointProposal{};
  }
}

class System {
public:
  explicit System(std::istream &input);
  Counter solve();
private:
  void try_individual();
  void try_greedy();
  void try_with_large(bool start_large, bool end_large);
  void find_best_proposals(std::array<EndpointProposal, 2> &start_proposals,
                           std::array<EndpointProposal, 2> &end_proposals,
                           EndpointProposal *&start,
                           EndpointProposal *&end);

  Counter best_score = -INF;
  vector<Program> programs;
  Program *large_program = nullptr;
};

System::System(std::istream &input) {
  size_t num_programs;
  input >> num_programs;
  programs.reserve(num_programs);
  for(size_t i=0; i<num_programs; ++i) {
    Program program(input);
    if (!program.instructions.empty()) {
      programs.push_back(std::move(program));
    }
  }
}

Counter System::solve() {
  if (programs.empty()) return 0;
  try_individual();
  try_greedy();
  if (large_program) {
    for (bool start_large : {false, true}) {
      for (bool end_large : {false, true}) {
        try_with_large(start_large, end_large);
      }
    }
  }
  return best_score;
}

void System::try_individual() {
  for (const Program &program : programs) {
    Counter counter = 0;
    for (const Instruction &instruction: program.instructions) {
      counter += instruction.full;
    }
    best_score = std::max(best_score, counter);
  }
}

void System::find_best_proposals(std::array<EndpointProposal, 2> &start_proposals,
                                 std::array<EndpointProposal, 2> &end_proposals,
                                 EndpointProposal *&start,
                                 EndpointProposal *&end) {
  start = &start_proposals[0];
  end = &end_proposals[0];
  if (start->program_idx!=NONE_SIZE_T &&
      end->program_idx!=NONE_SIZE_T &&
      start->program_idx == end->program_idx &&
      programs[start->program_idx].instructions.size() == 1) {
    // Can't use the same endpoint.
    if (start_proposals[1].value > end_proposals[1].value) {
      ++start;
    } else {
      ++end;
    }
  }
}

void System::try_greedy() {
  std::vector<int> used_counts(programs.size(), 0u);
  int total_used_count = 0;
  std::array<EndpointProposal, 2> start_proposals = {};
  std::array<EndpointProposal, 2> end_proposals = {};
  Counter score = 0;

  for (size_t program_idx=0; program_idx < programs.size(); ++program_idx) {
    Program &program = programs[program_idx];
    for (Instruction &instruction: program.instructions) {
      instruction.used = false;
      if (instruction.best > 0 &&
          !(program.first_start_only && &instruction == &program.instructions.front())) {
        instruction.used = true;
        score += instruction.best;
        ++used_counts[program_idx];
        ++total_used_count;
      }
    }
    {
      const Instruction &instruction = program.instructions.front();
      EndpointProposal proposal;
      proposal.program_idx = program_idx;
      if (instruction.used) {
        proposal.value = 0;
      } else {
        proposal.value = instruction.best;
      }
      insert_proposal(start_proposals, proposal);
    }
    {
      const Instruction &instruction = program.instructions.back();
      if (!(program.first_start_only && &instruction == &program.instructions.front())) {
        // can use as an endpoint
        EndpointProposal proposal;
        proposal.program_idx = program_idx;
        if (instruction.used) {
          proposal.value = instruction.full - instruction.best;
        } else {
          proposal.value = instruction.full;
        }
        insert_proposal(end_proposals, proposal);
      }
    }
  }
  EndpointProposal *start;
  EndpointProposal *end;
  find_best_proposals(start_proposals, end_proposals, start, end);
  if (start->program_idx==NONE_SIZE_T || end->program_idx==NONE_SIZE_T) {
    // Impossible.
    return;
  }
  {
    score += start->value;
    Instruction &instruction = programs[start->program_idx].instructions.front();
    if (!instruction.used) {
      instruction.used = true;
      ++used_counts[start->program_idx];
      ++total_used_count;
    }
  }
  {
    score += end->value;
    Instruction &instruction = programs[end->program_idx].instructions.back();
    if (!instruction.used) {
      instruction.used = true;
      ++used_counts[end->program_idx];
      ++total_used_count;
    }
  }

  for (size_t program_idx = 0; program_idx < programs.size(); ++program_idx) {
    const int other_middle =
      total_used_count
      - used_counts[program_idx]
      - (start->program_idx != program_idx)
      - (end->program_idx != program_idx);

    if (used_counts[program_idx] - 1 > other_middle) {
      // Not enough other middle to fill the gaps.
      large_program = &programs[program_idx];
      return;
    }
  }

  best_score = std::max(best_score, score);
}

struct LargeDecrementEntry {
  Counter value = -INF;
  size_t prev = NONE_SIZE_T;
  size_t next = NONE_SIZE_T;
};

struct LargeDecrementEntryQueueElem {
  size_t idx = NONE_SIZE_T;
  Counter value = -INF;
};

inline bool operator<(const LargeDecrementEntryQueueElem &a,
                      const LargeDecrementEntryQueueElem &b)
{
  return a.value < b.value;
}

struct AddInstructionQueueElem {
  size_t program_idx = NONE_SIZE_T;
  size_t instruction_idx = NONE_SIZE_T;
  Counter value = -INF;
};

inline bool operator<(const AddInstructionQueueElem &a, const AddInstructionQueueElem &b) {
  return a.value < b.value;
}

void System::try_with_large(const bool start_large, const bool end_large) {
  if (start_large && end_large && large_program->instructions.size() == 1) return;
  if (!start_large && large_program->instructions.size() == 1 && large_program->first_start_only) return;

  int large_used_count = 0;
  int other_used_count = 0;
  Counter score = 0;

  // Process large program and initialize large decrement priority queue.

  Counter gap = -INF;
  vector<LargeDecrementEntry> large_decrement_entries;
  large_decrement_entries.reserve(large_program->instructions.size());

  for (Instruction &instruction : large_program->instructions) {
    instruction.used = false;
    bool erasing_forbidden = false;
    Counter instruction_score = 0;
    if (start_large && &instruction == &large_program->instructions.front()) {
      instruction.used = true;
      erasing_forbidden = true;
      instruction_score = instruction.best;
    } else if (end_large && &instruction == &large_program->instructions.back()) {
      instruction.used = true;
      erasing_forbidden = true;
      instruction_score = instruction.full;
    } else if (&instruction == &large_program->instructions.front() && large_program->first_start_only) {
      // don't use
    } else if (instruction.best > 0) {
      instruction.used = true;
      instruction_score = instruction.best;
    }

    if (instruction.used) {
      ++large_used_count;
      score += instruction_score;
      if (!large_decrement_entries.empty()) {
        LargeDecrementEntry entry;
        entry.value = gap;
        entry.prev = large_decrement_entries.size() - 1;
        large_decrement_entries.back().next = large_decrement_entries.size();
        large_decrement_entries.push_back(entry);
      }
      {
        LargeDecrementEntry entry;
        entry.value = erasing_forbidden ? -INF : -instruction_score;
        if (!large_decrement_entries.empty()) {
          entry.prev = large_decrement_entries.size() - 1;
          large_decrement_entries.back().next = large_decrement_entries.size();
        }
        large_decrement_entries.push_back(entry);
      }
      gap = instruction.full - instruction_score;
    } else {
      gap += instruction.full;
    }
  }

  std::priority_queue<LargeDecrementEntryQueueElem> large_decrement_queue;
  for (size_t i=0; i<large_decrement_entries.size(); ++i) {
    LargeDecrementEntryQueueElem elem;
    elem.idx = i;
    elem.value = large_decrement_entries[i].value;
    large_decrement_queue.push(elem);
  }

  // Process other programs and initialize queues.
  
  // [at start][at end]
  std::priority_queue<AddInstructionQueueElem> add_instruction_queue[2][2];
  std::array<EndpointProposal, 2> start_proposals = {};
  std::array<EndpointProposal, 2> end_proposals = {};

  for (size_t program_idx = 0; program_idx < programs.size(); ++program_idx) {
    Program &program = programs[program_idx];
    if (&program == large_program) continue;

    for (size_t instruction_idx=0; instruction_idx < program.instructions.size(); ++instruction_idx) {
      Instruction &instruction = program.instructions[instruction_idx];
      instruction.used = false;

      const bool at_start = instruction_idx == 0;
      const bool at_end = instruction_idx == program.instructions.size() - 1;

      if (program.first_start_only && at_start) {
        // never add
      } else if (instruction.best > 0) {
        instruction.used = true;
        score += instruction.best;
        ++other_used_count;
      } else {
        AddInstructionQueueElem elem;
        elem.program_idx = program_idx;
        elem.instruction_idx = instruction_idx;
        elem.value = instruction.best;
        add_instruction_queue[at_start][at_end].push(elem);
      }
    }

    if (!start_large) {
      const Instruction &instruction = program.instructions.front();
      EndpointProposal proposal;
      proposal.program_idx = program_idx;
      if (instruction.used) {
        proposal.value = 0;
      } else {
        proposal.value = instruction.best;
      }
      insert_proposal(start_proposals, proposal);
    }

    if (!end_large) {
      const Instruction &instruction = program.instructions.back();
      if (!(program.first_start_only && &instruction == &program.instructions.front())) {
        // can use as an endpoint
        EndpointProposal proposal;
        proposal.program_idx = program_idx;
        if (instruction.used) {
          proposal.value = instruction.full - instruction.best;
        } else {
          proposal.value = instruction.full;
        }
        insert_proposal(end_proposals, proposal);
      }
    }
  }

  // Repeatedly make improvements while necessary.
  for (;;) {
    EndpointProposal *start;
    EndpointProposal *end;
    find_best_proposals(start_proposals, end_proposals, start, end);
    if (!start_large && start->program_idx == NONE_SIZE_T) {
      // impossible
      return;
    }
    if (!end_large && end->program_idx == NONE_SIZE_T) {
      // impossible
      return;
    }

    int other_middle = other_used_count;
    if (!start_large && programs[start->program_idx].instructions.front().used) {
      --other_middle;
    }
    if (!end_large && programs[end->program_idx].instructions.back().used) {
      --other_middle;
    }
    if (large_used_count - 1 <= other_middle) {
      // We are OK!
      if (!start_large) score += start->value;
      if (!end_large) score += end->value;
      best_score = std::max(best_score, score);
      return;
    }

    // Pick an improvement from one of 5 priority queues.
    int best_queue = -1;
    Counter best_value = -INF/2;
    while (!large_decrement_queue.empty()) {
      const auto &qe = large_decrement_queue.top();
      const auto &entry = large_decrement_entries[qe.idx];
      if (entry.value != qe.value) {
        // lazily clean queue and repeat
        large_decrement_queue.pop();
        continue;
      }
      // Don't allow merging the whole large program.
      if (start_large && end_large &&
          entry.prev == 0 &&
          entry.next == large_decrement_entries.size() - 1)
      { 
        break;
      }
      const Counter val = large_decrement_queue.top().value;
      if (val > best_value) {
        best_queue = 4;
        best_value = val;
      }
      break;
    }

    for (int at_start=0; at_start<2; ++at_start) {
      for (int at_end=0; at_end<2; ++at_end) {
        const auto &q = add_instruction_queue[at_start][at_end];
        if (!q.empty()) {
          const auto &entry = q.top();
          Counter val = entry.value;
          // simulate update
          std::array<EndpointProposal, 2> new_start_proposals = start_proposals;
          std::array<EndpointProposal, 2> new_end_proposals = end_proposals;
          if (at_start && !start_large) {
            EndpointProposal proposal;
            proposal.program_idx = entry.program_idx;
            proposal.value = 0;
            erase_proposal(new_start_proposals, proposal.program_idx);
            insert_proposal(new_start_proposals, proposal);
          }
          if (at_end && !end_large) {
            Instruction &instruction = programs[entry.program_idx].instructions.back();
            EndpointProposal proposal;
            proposal.program_idx = entry.program_idx;
            proposal.value = instruction.full - instruction.best;
            erase_proposal(new_end_proposals, proposal.program_idx);
            insert_proposal(new_end_proposals, proposal);
          }
          EndpointProposal *new_start;
          EndpointProposal *new_end;
          find_best_proposals(new_start_proposals, new_end_proposals, new_start, new_end);
          if (!start_large) {
            val += new_start->value - start->value;
          }
          if (!end_large) {
            val += new_end->value - end->value;
          }

          if (val > best_value) {
            best_queue = 2*at_start+at_end;
            best_value = val;
          }
        }
      }
    }
    if (best_queue == -1) {
      // no more improvements
      return;
    } else if (best_queue == 4) {
      // large decrement
      const size_t idx = large_decrement_queue.top().idx;
      large_decrement_queue.pop();
      auto &entry = large_decrement_entries[idx];
      --large_used_count;
      score += entry.value;
      if (entry.prev == NONE_SIZE_T && entry.next == NONE_SIZE_T) {
        // last entry
        entry.value = -INF;
      } else if (entry.prev == NONE_SIZE_T) {
        // first entry: also erase next gap
        auto &next_entry = large_decrement_entries[entry.next];
        assert(next_entry.next != NONE_SIZE_T);
        auto &next_next_entry = large_decrement_entries[next_entry.next];
        next_next_entry.prev = NONE_SIZE_T;
        next_entry.value = -INF;
      } else if (entry.next == NONE_SIZE_T) {
        // last entry: also erase prev gap
        auto &prev_entry = large_decrement_entries[entry.prev];
        assert(prev_entry.prev != NONE_SIZE_T);
        auto &prev_prev_entry = large_decrement_entries[prev_entry.prev];
        prev_prev_entry.next = NONE_SIZE_T;
        prev_entry.value = -INF;
      } else {
        // middle entry: merge with two neighbors
        auto &prev_entry = large_decrement_entries[entry.prev];
        auto &next_entry = large_decrement_entries[entry.next];
        entry.value = prev_entry.value + next_entry.value - entry.value;
        prev_entry.value = -INF;
        next_entry.value = -INF;
        entry.prev = prev_entry.prev;
        entry.next = next_entry.next;
        if (entry.prev != NONE_SIZE_T) {
          large_decrement_entries[entry.prev].next = idx;
        }
        if (entry.next != NONE_SIZE_T) {
          large_decrement_entries[entry.next].prev = idx;
        }
        LargeDecrementEntryQueueElem new_elem;
        new_elem.idx = idx;
        new_elem.value = entry.value;
        large_decrement_queue.push(new_elem);
      }
    } else {
      // other increment
      const bool at_start = best_queue >> 1;
      const bool at_end = best_queue & 1;
      auto &q = add_instruction_queue[at_start][at_end];
      const auto entry = q.top();
      q.pop();
      Instruction &instruction = programs[entry.program_idx].instructions[entry.instruction_idx];
      assert(!instruction.used);
      instruction.used = true;
      score += instruction.best;
      ++other_used_count;
      if (at_start && !start_large) {
        EndpointProposal proposal;
        proposal.program_idx = entry.program_idx;
        proposal.value = 0;
        erase_proposal(start_proposals, proposal.program_idx);
        insert_proposal(start_proposals, proposal);
      }
      if (at_end && !end_large) {
        EndpointProposal proposal;
        proposal.program_idx = entry.program_idx;
        proposal.value = instruction.full - instruction.best;
        erase_proposal(end_proposals, proposal.program_idx);
        insert_proposal(end_proposals, proposal);
      }
    }
  }
}

int main() {
  init_io();
  int ntc;
  std::cin >> ntc;
  for (int tc=0; tc<ntc; ++tc) {
    System system(std::cin);
    Counter res = system.solve();
    std::cout << (-res) << "\n";
  }
}