Problem p01087 (C++) — buggy submission, verdict: Runtime Error

// include
//------------------------------------------
#include <algorithm>
#include <bitset>
#include <cctype>
#include <climits>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <utility>
#include <vector>

using namespace std;

// typedef
//------------------------------------------
typedef long long LL;
typedef vector<int> VI;
typedef vector<bool> VB;
typedef vector<char> VC;
typedef vector<double> VD;
typedef vector<string> VS;
typedef vector<LL> VLL;
typedef vector<VI> VVI;
typedef vector<VB> VVB;
typedef vector<VS> VVS;
typedef vector<VLL> VVLL;
typedef vector<VVI> VVVI;
typedef vector<VVLL> VVVLL;
typedef pair<int, int> PII;
typedef pair<LL, LL> PLL;
typedef pair<int, string> PIS;
typedef pair<string, int> PSI;
typedef pair<string, string> PSS;

// 数値・文字列
//------------------------------------------
inline int toInt(string s) {
  int v;
  istringstream sin(s);
  sin >> v;
  return v;
}

inline LL toLongLong(string s) {
  LL v;
  istringstream sin(s);
  sin >> v;
  return v;
}

template <class T> inline string toString(T x) {
  ostringstream sout;
  sout << x;
  return sout.str();
}

inline VC toVC(string s) {
  VC data(s.begin(), s.end());
  return data;
}

template <typename List>
void SPRIT(const std::string &s, const std::string &delim, List &result) {
  result.clear();
  string::size_type pos = 0;
  while (pos != string::npos) {
    string::size_type p = s.find(delim, pos);
    if (p == string::npos) {
      result.push_back(s.substr(pos));
      break;
    } else {
      result.push_back(s.substr(pos, p - pos));
    }
    pos = p + delim.size();
  }
}

string TRIM(const string &str, const char *trimCharacterList = " \\t\\v\\r\\n") {
  string result;
  string::size_type left = str.find_first_not_of(trimCharacterList);
  if (left != string::npos) {
    string::size_type right = str.find_last_not_of(trimCharacterList);
    result = str.substr(left, right - left + 1);
  }
  return result;
}

template <typename T> bool VECTOR_EXISTS(vector<T> vec, T data) {
  auto itr = std::find(vec.begin(), vec.end(), data);
  size_t index = distance(vec.begin(), itr);
  if (index != vec.size()) {
    return true;
  } else {
    return 0;
  }
}

#define UPPER(s) transform((s).begin(), (s).end(), (s).begin(), ::toupper)
#define LOWER(s) transform((s).begin(), (s).end(), (s).begin(), ::tolower)

// 四捨五入 nLen=小数点第N位にする
//------------------------------------------

// 四捨五入
double ceil_n(double dIn, int nLen) {
  double dOut;
  dOut = dIn * pow(10.0, nLen);
  dOut = (double)(int)(dOut + 0.9);
  return dOut * pow(10.0, -nLen);
}

// 切り捨て
double floor_n(double dIn, int nLen) {
  double dOut;
  dOut = dIn * pow(10.0, nLen);
  dOut = (double)(int)(dOut);
  return dOut * pow(10.0, -nLen);
}

// 切り上げ
double round_n(double dIn, int nLen) {
  double dOut;
  dOut = dIn * pow(10.0, nLen);
  dOut = (double)(int)(dOut + 0.5);
  return dOut * pow(10.0, -nLen);
}

// n桁目の数の取得
int take_a_n(int num, int n) {
  string str = toString(num);
  return str[str.length() - n] - '0';
}

// 進数
//------------------------------------------

//"1111011" → 123
int strbase_2to10(const std::string &s) {
  int out = 0;
  for (int i = 0, size = s.size(); i < size; ++i) {
    out *= 2;
    out += ((int)s[i] == 49) ? 1 : 0;
  }
  return out;
}

//"123" → 1111011
int strbase_10to2(const std::string &s) {
  int binary = toInt(s);
  int out = 0;
  for (int i = 0; binary > 0; i++) {
    out = out + (binary % 2) * pow(static_cast<int>(10), i);
    binary = binary / 2;
  }
  return out;
}

//"ABC" 2748
int strbase_16to10(const std::string &s) {
  int out = stoi(s, 0, 16);
  return out;
}

// 1111011 → 123
int intbase_2to10(int in) {
  string str = toString(in);
  return strbase_2to10(str);
}

// 123 → 1111011
int intbase_10to2(int in) {
  string str = toString(in);
  return strbase_10to2(str);
}

int intbase_16to10(int in) {
  string str = toString(in);
  return strbase_16to10(str);
}

// 123→ "7B"
string intbase_10to16(unsigned int val, bool lower = true) {
  if (!val)
    return std::string("0");
  std::string str;
  const char hc = lower ? 'a' : 'A'; // 小文字 or 大文字表記
  while (val != 0) {
    int d = val & 15; // 16進数一桁を取得
    if (d < 10)
      str.insert(str.begin(), d + '0'); //  10未満の場合
    else                                //  10以上の場合
      str.insert(str.begin(), d - 10 + hc);
    val >>= 4;
  }
  return str;
}

// 整数を2進数表記したときの1の個数を返す
LL bitcount64(LL bits) {
  bits = (bits & 0x5555555555555555) + (bits >> 1 & 0x5555555555555555);
  bits = (bits & 0x3333333333333333) + (bits >> 2 & 0x3333333333333333);
  bits = (bits & 0x0f0f0f0f0f0f0f0f) + (bits >> 4 & 0x0f0f0f0f0f0f0f0f);
  bits = (bits & 0x00ff00ff00ff00ff) + (bits >> 8 & 0x00ff00ff00ff00ff);
  bits = (bits & 0x0000ffff0000ffff) + (bits >> 16 & 0x0000ffff0000ffff);
  return (bits & 0x00000000ffffffff) + (bits >> 32 & 0x00000000ffffffff);
}

// comparison
//------------------------------------------
#define C_MAX(a, b) ((a) > (b) ? (a) : (b))
#define C_MIN(a, b) ((a) < (b) ? (a) : (b))
#define C_ABS(a, b) ((a) < (b) ? (b) - (a) : (a) - (b))

// container util
//------------------------------------------
#define ALL(a) (a).begin(), (a).end()
#define RALL(a) (a).rbegin(), (a).rend()
#define SZ(a) int((a).size())
#define EACH(i, c)                                                             \\
  for (typeof((c).begin()) i = (c).begin(); i != (c).end(); ++i)
#define EXIST(s, e) ((s).find(e) != (s).end())
#define COUNT(obj, v) count((obj).begin(), (obj).end(), v)
#define SEARCH(v, w) search((v).begin(), (v).end(), (w).begin(), (w).end())
#define B_SEARCH(obj, v) binary_search((obj).begin(), (obj).end(), v)
#define SORT(c) sort((c).begin(), (c).end())
#define RSORT(c) sort((c).rbegin(), (c).rend())
#define REVERSE(c) reverse((c).begin(), (c).end())
#define SUMI(obj) accumulate((obj).begin(), (obj).end(), 0)
#define SUMD(obj) accumulate((obj).begin(), (obj).end(), 0.)
#define SUMLL(obj) accumulate((obj).begin(), (obj).end(), 0LL)
#define SUMS(obj) accumulate((obj).begin(), (obj).end(), string())
#define SUM_P(v, w) partial_sum((v).begin(), (v).end(), (w).begin())
#define UB(obj, n) upper_bound((obj).begin(), (obj).end(), n)
#define LB(obj, n) lower_bound((obj).begin(), (obj).end(), n)
#define PB push_back
#define MP make_pair

// input output
//------------------------------------------
#define GL(s) getline(cin, (s))
#define INIT                                                                   \\
  std::ios::sync_with_stdio(false);                                            \\
  std::cin.tie(0);
#define OUT(d) std::cout << (d);
#define OUT_L(d) std::cout << (d) << endl;
#define FOUT(n, d) std::cout << std::fixed << std::setprecision(n) << (d);
#define FOUT_L(n, d)                                                           \\
  std::cout << std::fixed << std::setprecision(n) << (d) << "\\n";
#define EL() std::cout << "\\n";
#define SHOW_VECTOR(v)                                                         \\
  {                                                                            \\
    std::cerr << #v << "\\t:";                                                  \\
    for (const auto &xxx : v) {                                                \\
      std::cerr << xxx << " ";                                                 \\
    }                                                                          \\
    std::cerr << "\\n";                                                         \\
  }
#define SHOW_MAP(v)                                                            \\
  {                                                                            \\
    std::cerr << #v << endl;                                                   \\
    for (const auto &xxx : v) {                                                \\
      std::cerr << xxx.first << " " << xxx.second << "\\n";                     \\
    }                                                                          \\
  }

// repetition
//------------------------------------------
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define RFOR(i, a, b) for (int i = (b)-1; i >= (a); --i)
#define REP(i, n) FOR(i, 0, n)
#define RREP(i, n) for (int i = n - 1; i >= 0; i--)
#define FORLL(i, a, b) for (LL i = LL(a); i < LL(b); ++i)
#define RFORLL(i, a, b) for (LL i = LL(b) - 1; i >= LL(a); --i)
#define REPLL(i, n) for (LL i = 0; i < LL(n); ++i)
#define RREPLL(i, n) for (LL i = LL(n) - 1; i >= 0; --i)
#define FOREACH(x, v) for (auto &(x) : (v))
#define FORITER(x, v) for (auto(x) = (v).begin(); (x) != (v).end(); ++(x))

// constant
//--------------------------------------------
const double EPS = 1e-10;
const double PI = acos(-1.0);
const int MOD = 1000000007;
const int dx[] = {-1, 0, 1, 0};
const int dy[] = {0, 1, 0, -1};

// math
//--------------------------------------------

// min <= aim <= max
template <typename T>
inline bool BETWEEN(const T aim, const T min, const T max) {
  if (min <= aim && aim <= max) {
    return true;
  } else {
    return false;
  }
}

template <class T> inline T SQR(const T x) { return x * x; }

template <class T1, class T2> inline T1 POW(const T1 x, const T2 y) {
  if (!y)
    return 1;
  else if ((y & 1) == 0) {
    return SQR(POW(x, y >> 1));
  } else
    return POW(x, y ^ 1) * x;
}

template <typename T> constexpr T ABS(T x) { return x < 0 ? -x : x; }

// partial_permutation nPr 順列
// first・・最初の数
// middle・・r(取り出す数)
// last・・n(全体数)
template <class BidirectionalIterator>
bool next_partial_permutation(BidirectionalIterator first,
                              BidirectionalIterator middle,
                              BidirectionalIterator last) {
  reverse(middle, last);
  return next_permutation(first, last);
}

// combination nCr 組み合わせ
// first1・・最初の数
// last1==first2・・r(取り出す数)
// last2・・n(全体数)
template <class BidirectionalIterator>
bool next_combination(BidirectionalIterator first1, BidirectionalIterator last1,
                      BidirectionalIterator first2,
                      BidirectionalIterator last2) {
  if ((first1 == last1) || (first2 == last2)) {
    return false;
  }
  BidirectionalIterator m1 = last1;
  BidirectionalIterator m2 = last2;
  --m2;
  while (--m1 != first1 && !(*m1 < *m2)) {
  }
  bool result = (m1 == first1) && !(*first1 < *m2);
  if (!result) {
    while (first2 != m2 && !(*m1 < *first2)) {
      ++first2;
    }
    first1 = m1;
    std::iter_swap(first1, first2);
    ++first1;
    ++first2;
  }
  if ((first1 != last1) && (first2 != last2)) {
    m1 = last1;
    m2 = first2;
    while ((m1 != first1) && (m2 != last2)) {
      std::iter_swap(--m1, m2);
      ++m2;
    }
    std::reverse(first1, m1);
    std::reverse(first1, last1);
    std::reverse(m2, last2);
    std::reverse(first2, last2);
  }
  return !result;
}

// numeric_law
//--------------------------------------------

template <typename T> constexpr bool ODD(T x) { return x % 2 != 0; }

template <typename T> constexpr bool EVEN(T x) { return x % 2 == 0; }

// 最大公約数
template <class T> inline T GCD(const T x, const T y) {
  if (x < 0)
    return GCD(-x, y);
  if (y < 0)
    return GCD(x, -y);
  return (!y) ? x : GCD(y, x % y);
}

// 最小公倍数
template <class T> inline T LCM(const T x, const T y) {
  if (x < 0)
    return LCM(-x, y);
  if (y < 0)
    return LCM(x, -y);
  return x * (y / GCD(x, y));
}

// ax + by = 1
// x,yが変数に格納される
template <class T> inline T EXTGCD(const T a, const T b, T &x, T &y) {
  if (a < 0) {
    T d = EXTGCD(-a, b, x, y);
    x = -x;
    return d;
  }
  if (b < 0) {
    T d = EXTGCD(a, -b, x, y);
    y = -y;
    return d;
  }
  if (!b) {
    x = 1;
    y = 0;
    return a;
  } else {
    T d = EXTGCD(b, a % b, x, y);
    T t = x;
    x = y;
    y = t - (a / b) * y;
    return d;
  }
}

// 素数
template <class T> inline bool ISPRIME(const T x) {
  if (x <= 1)
    return false;
  for (T i = 2; SQR(i) <= x; i++)
    if (x % i == 0)
      return false;
  return true;
}

// 素数をtrueとして返す
template <class T> VB ERATOSTHENES(const T n) {
  VB arr(n, true);
  for (int i = 2; SQR(i) < n; i++) {
    if (arr[i]) {
      for (int j = 0; i * (j + 2) < n; j++) {
        arr[i * (j + 2)] = false;
      }
    }
  }
  return arr;
}

// a <= x < b の素数を返す
template <typename T> VB ERATOSTHENES(const T a, const T b) {
  VB small = ERATOSTHENES(b);
  VB prime(b - a, true);

  for (int i = 2; (T)(SQR(i)) < b; i++) {
    if (small[i]) {
      for (T j = max(2, (a + i - 1) / i) * i; j < b; j += i) {
        prime[j - a] = false;
      }
    }
  }

  return prime;
}

// 約数
template <class T> vector<T> DIVISOR(T n) {
  vector<T> v;
  for (int i = 1; i * i <= n; ++i) {
    if (n % i == 0) {
      v.push_back(i);
      if (i != n / i) {
        v.push_back(n / i);
      }
    }
  }
  sort(v.begin(), v.end());
  return v;
}

// 組み合わせ個数
template <typename T> T NCR(T n, T r) {
  T ans = 1;
  REPLL(i, r) { ans = ans * (n - i) / (i + 1); }
  return ans;
}

// 行列
int MATRIZ_CHAIN(VI &p, VVI &s) {
  const static int INF = 1 << 20;
  const int n = p.size() - 1;
  VVI X(n, VI(n, INF));
  s.resize(n, VI(n));
  for (int i = 0; i < n; ++i)
    X[i][i] = 0;
  for (int w = 1; w < n; ++w)
    for (int i = 0, j; j = i + w, j < n; ++i)
      for (int k = i; k < j; ++k) {
        int f = p[i] * p[k + 1] * p[j + 1];
        if (X[i][k] + X[k + 1][j] + f < X[i][j]) {
          X[i][j] = X[i][k] + X[k + 1][j] + f;
          s[i][j] = k;
        }
      }
  return X[0][n - 1];
}

// 最長増加部分列
VI LIS(const VI &a) {
  const static int INF = 99999999;
  const int n = a.size();
  VI A(n, INF);
  VI id(n);
  for (int i = 0; i < n; ++i) {
    id[i] = distance(A.begin(), lower_bound(A.begin(), A.end(), a[i]));
    A[id[i]] = a[i];
  }
  int m = *max_element(id.begin(), id.end());
  VI b(m + 1);
  for (int i = n - 1; i >= 0; --i)
    if (id[i] == m)
      b[m--] = a[i];
  return b;
}

// 最長共通部分列 string->toVC
template <typename T> vector<T> LCS(const vector<T> &a, const vector<T> &b) {
  const int n = a.size(), m = b.size();
  vector<VI> X(n + 1, VI(m + 1));
  vector<VI> Y(n + 1, VI(m + 1));
  REP(i, n) {
    REP(j, m) {
      if (a[i] == b[j]) {
        X[i + 1][j + 1] = X[i][j] + 1;
        Y[i + 1][j + 1] = 0;
      } else if (X[i + 1][j] < X[i][j + 1]) {
        X[i + 1][j + 1] = X[i][j + 1];
        Y[i + 1][j + 1] = +1;
      } else {
        X[i + 1][j + 1] = X[i + 1][j];
        Y[i + 1][j + 1] = -1;
      }
    }
  }
  vector<T> c;
  for (int i = n, j = m; i > 0 && j > 0;) {
    if (Y[i][j] > 0)
      --i;
    else if (Y[i][j] < 0)
      --j;
    else {
      c.PB(a[i - 1]);
      --i;
      --j;
    }
  }
  REVERSE(c);
  return c;
}

// コイン C総額 cs使用できるコインの種類
VI money_change(int C, VI &cs) {
  const int INF = 99999999;
  int n = cs.size();
  VI xs(C + 1, INF);
  VI ys(C + 1);
  xs[0] = 0;
  for (int i = 0; i < n; ++i) {
    for (int c = 0; c + cs[i] <= C; ++c) {
      if (xs[c + cs[i]] > xs[c] + 1) {
        xs[c + cs[i]] = xs[c] + 1;
        ys[c + cs[i]] = c;
      }
    }
  }
  VI zs;
  for (int c = C; c > 0; c = ys[c]) {
    zs.push_back(c - ys[c]);
  }
  return zs;
}

// confirmation
//--------------------------------------------

// clear memory
#define CLR(a, b) memset((a), (b), sizeof(a))

// debug
#define dump(x) cerr << #x << " = " << (x) << endl;
#define debug(x)                                                               \\
  cerr << #x << " = " << (x) << " (L" << __LINE__ << ")"                       \\
       << " " << __FILE__ << endl;

/*
 *
 *
 *   ~~~~Below My Answer~~~~
 *
 *
 * */

int add(int &index, int N, int par, vector<pair<int, char>> P);

int mul(int &index, int N, int par, vector<pair<int, char>> P);

int add(int &index, int N, int par, vector<pair<int, char>> P) {
  int ret = 0;
  while (index < N) {
    if (P[index].first <= par) {
      break;
    } else if (P[index].second == '+') {
      index++;
      ret += add(index, N, P[index - 1].first, P);
    } else if (P[index].second == '*') {
      index++;
      ret += mul(index, N, P[index - 1].first, P);
    } else {
      ret += P[index].second - '0';
      index++;
    }
  }

  return ret;
}

int mul(int &index, int N, int par, vector<pair<int, char>> P) {
  int ret = 1;
  while (index < N) {
    if (P[index].first <= par) {
      break;
    } else if (P[index].second == '+') {
      index++;
      ret *= add(index, N, P[index - 1].first, P);
    } else if (P[index].second == '*') {
      index++;
      ret *= mul(index, N, P[index - 1].first, P);
    } else {
      ret *= P[index].second - '0';
      index++;
    }
  }

  return ret;
}

int main() {

  int N;

  while (true) {
    cin >> N;

    VS S(N);
    vector<pair<int, char>> P(N);

    if (N == 0) {
      break;
    }

    REP(i, N) {
      cin >> S[i];
      P[i].first = 0;
    }
    REP(i, N) {
      REP(j, S[i].size()) {
        if (S[i][j] == '.') {
          P[i].first++;
        } else {
          P[i].second = S[i][j];
        }
      }
    }

    if (N == 1) {
      OUT_L(P[0].second);
      continue;
    }

    int res;
    if (P[0].second == '+') {
      int start = 1;
      res = add(start, N, 0, P);
    } else {
      int start = 1;
      res = mul(start, N, 0, P);
    }

    OUT_L(res);
  }

  return 0;
}


Error: 0

Fixed submission:

// include
//------------------------------------------
#include <algorithm>
#include <bitset>
#include <cctype>
#include <climits>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <utility>
#include <vector>

using namespace std;

// typedef
//------------------------------------------
typedef long long LL;
typedef vector<int> VI;
typedef vector<bool> VB;
typedef vector<char> VC;
typedef vector<double> VD;
typedef vector<string> VS;
typedef vector<LL> VLL;
typedef vector<VI> VVI;
typedef vector<VB> VVB;
typedef vector<VS> VVS;
typedef vector<VLL> VVLL;
typedef vector<VVI> VVVI;
typedef vector<VVLL> VVVLL;
typedef pair<int, int> PII;
typedef pair<LL, LL> PLL;
typedef pair<int, string> PIS;
typedef pair<string, int> PSI;
typedef pair<string, string> PSS;

// 数値・文字列
//------------------------------------------
inline int toInt(string s) {
  int v;
  istringstream sin(s);
  sin >> v;
  return v;
}

inline LL toLongLong(string s) {
  LL v;
  istringstream sin(s);
  sin >> v;
  return v;
}

template <class T> inline string toString(T x) {
  ostringstream sout;
  sout << x;
  return sout.str();
}

inline VC toVC(string s) {
  VC data(s.begin(), s.end());
  return data;
}

template <typename List>
void SPRIT(const std::string &s, const std::string &delim, List &result) {
  result.clear();
  string::size_type pos = 0;
  while (pos != string::npos) {
    string::size_type p = s.find(delim, pos);
    if (p == string::npos) {
      result.push_back(s.substr(pos));
      break;
    } else {
      result.push_back(s.substr(pos, p - pos));
    }
    pos = p + delim.size();
  }
}

string TRIM(const string &str, const char *trimCharacterList = " \\t\\v\\r\\n") {
  string result;
  string::size_type left = str.find_first_not_of(trimCharacterList);
  if (left != string::npos) {
    string::size_type right = str.find_last_not_of(trimCharacterList);
    result = str.substr(left, right - left + 1);
  }
  return result;
}

template <typename T> bool VECTOR_EXISTS(vector<T> vec, T data) {
  auto itr = std::find(vec.begin(), vec.end(), data);
  size_t index = distance(vec.begin(), itr);
  if (index != vec.size()) {
    return true;
  } else {
    return 0;
  }
}

#define UPPER(s) transform((s).begin(), (s).end(), (s).begin(), ::toupper)
#define LOWER(s) transform((s).begin(), (s).end(), (s).begin(), ::tolower)

// 四捨五入 nLen=小数点第N位にする
//------------------------------------------

// 四捨五入
double ceil_n(double dIn, int nLen) {
  double dOut;
  dOut = dIn * pow(10.0, nLen);
  dOut = (double)(int)(dOut + 0.9);
  return dOut * pow(10.0, -nLen);
}

// 切り捨て
double floor_n(double dIn, int nLen) {
  double dOut;
  dOut = dIn * pow(10.0, nLen);
  dOut = (double)(int)(dOut);
  return dOut * pow(10.0, -nLen);
}

// 切り上げ
double round_n(double dIn, int nLen) {
  double dOut;
  dOut = dIn * pow(10.0, nLen);
  dOut = (double)(int)(dOut + 0.5);
  return dOut * pow(10.0, -nLen);
}

// n桁目の数の取得
int take_a_n(int num, int n) {
  string str = toString(num);
  return str[str.length() - n] - '0';
}

// 進数
//------------------------------------------

//"1111011" → 123
int strbase_2to10(const std::string &s) {
  int out = 0;
  for (int i = 0, size = s.size(); i < size; ++i) {
    out *= 2;
    out += ((int)s[i] == 49) ? 1 : 0;
  }
  return out;
}

//"123" → 1111011
int strbase_10to2(const std::string &s) {
  int binary = toInt(s);
  int out = 0;
  for (int i = 0; binary > 0; i++) {
    out = out + (binary % 2) * pow(static_cast<int>(10), i);
    binary = binary / 2;
  }
  return out;
}

//"ABC" 2748
int strbase_16to10(const std::string &s) {
  int out = stoi(s, 0, 16);
  return out;
}

// 1111011 → 123
int intbase_2to10(int in) {
  string str = toString(in);
  return strbase_2to10(str);
}

// 123 → 1111011
int intbase_10to2(int in) {
  string str = toString(in);
  return strbase_10to2(str);
}

int intbase_16to10(int in) {
  string str = toString(in);
  return strbase_16to10(str);
}

// 123→ "7B"
string intbase_10to16(unsigned int val, bool lower = true) {
  if (!val)
    return std::string("0");
  std::string str;
  const char hc = lower ? 'a' : 'A'; // 小文字 or 大文字表記
  while (val != 0) {
    int d = val & 15; // 16進数一桁を取得
    if (d < 10)
      str.insert(str.begin(), d + '0'); //  10未満の場合
    else                                //  10以上の場合
      str.insert(str.begin(), d - 10 + hc);
    val >>= 4;
  }
  return str;
}

// 整数を2進数表記したときの1の個数を返す
LL bitcount64(LL bits) {
  bits = (bits & 0x5555555555555555) + (bits >> 1 & 0x5555555555555555);
  bits = (bits & 0x3333333333333333) + (bits >> 2 & 0x3333333333333333);
  bits = (bits & 0x0f0f0f0f0f0f0f0f) + (bits >> 4 & 0x0f0f0f0f0f0f0f0f);
  bits = (bits & 0x00ff00ff00ff00ff) + (bits >> 8 & 0x00ff00ff00ff00ff);
  bits = (bits & 0x0000ffff0000ffff) + (bits >> 16 & 0x0000ffff0000ffff);
  return (bits & 0x00000000ffffffff) + (bits >> 32 & 0x00000000ffffffff);
}

// comparison
//------------------------------------------
#define C_MAX(a, b) ((a) > (b) ? (a) : (b))
#define C_MIN(a, b) ((a) < (b) ? (a) : (b))
#define C_ABS(a, b) ((a) < (b) ? (b) - (a) : (a) - (b))

// container util
//------------------------------------------
#define ALL(a) (a).begin(), (a).end()
#define RALL(a) (a).rbegin(), (a).rend()
#define SZ(a) int((a).size())
#define EACH(i, c)                                                             \\
  for (typeof((c).begin()) i = (c).begin(); i != (c).end(); ++i)
#define EXIST(s, e) ((s).find(e) != (s).end())
#define COUNT(obj, v) count((obj).begin(), (obj).end(), v)
#define SEARCH(v, w) search((v).begin(), (v).end(), (w).begin(), (w).end())
#define B_SEARCH(obj, v) binary_search((obj).begin(), (obj).end(), v)
#define SORT(c) sort((c).begin(), (c).end())
#define RSORT(c) sort((c).rbegin(), (c).rend())
#define REVERSE(c) reverse((c).begin(), (c).end())
#define SUMI(obj) accumulate((obj).begin(), (obj).end(), 0)
#define SUMD(obj) accumulate((obj).begin(), (obj).end(), 0.)
#define SUMLL(obj) accumulate((obj).begin(), (obj).end(), 0LL)
#define SUMS(obj) accumulate((obj).begin(), (obj).end(), string())
#define SUM_P(v, w) partial_sum((v).begin(), (v).end(), (w).begin())
#define UB(obj, n) upper_bound((obj).begin(), (obj).end(), n)
#define LB(obj, n) lower_bound((obj).begin(), (obj).end(), n)
#define PB push_back
#define MP make_pair

// input output
//------------------------------------------
#define GL(s) getline(cin, (s))
#define INIT                                                                   \\
  std::ios::sync_with_stdio(false);                                            \\
  std::cin.tie(0);
#define OUT(d) std::cout << (d);
#define OUT_L(d) std::cout << (d) << endl;
#define FOUT(n, d) std::cout << std::fixed << std::setprecision(n) << (d);
#define FOUT_L(n, d)                                                           \\
  std::cout << std::fixed << std::setprecision(n) << (d) << "\\n";
#define EL() std::cout << "\\n";
#define SHOW_VECTOR(v)                                                         \\
  {                                                                            \\
    std::cerr << #v << "\\t:";                                                  \\
    for (const auto &xxx : v) {                                                \\
      std::cerr << xxx << " ";                                                 \\
    }                                                                          \\
    std::cerr << "\\n";                                                         \\
  }
#define SHOW_MAP(v)                                                            \\
  {                                                                            \\
    std::cerr << #v << endl;                                                   \\
    for (const auto &xxx : v) {                                                \\
      std::cerr << xxx.first << " " << xxx.second << "\\n";                     \\
    }                                                                          \\
  }

// repetition
//------------------------------------------
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define RFOR(i, a, b) for (int i = (b)-1; i >= (a); --i)
#define REP(i, n) FOR(i, 0, n)
#define RREP(i, n) for (int i = n - 1; i >= 0; i--)
#define FORLL(i, a, b) for (LL i = LL(a); i < LL(b); ++i)
#define RFORLL(i, a, b) for (LL i = LL(b) - 1; i >= LL(a); --i)
#define REPLL(i, n) for (LL i = 0; i < LL(n); ++i)
#define RREPLL(i, n) for (LL i = LL(n) - 1; i >= 0; --i)
#define FOREACH(x, v) for (auto &(x) : (v))
#define FORITER(x, v) for (auto(x) = (v).begin(); (x) != (v).end(); ++(x))

// constant
//--------------------------------------------
const double EPS = 1e-10;
const double PI = acos(-1.0);
const int MOD = 1000000007;
const int dx[] = {-1, 0, 1, 0};
const int dy[] = {0, 1, 0, -1};

// math
//--------------------------------------------

// min <= aim <= max
template <typename T>
inline bool BETWEEN(const T aim, const T min, const T max) {
  if (min <= aim && aim <= max) {
    return true;
  } else {
    return false;
  }
}

template <class T> inline T SQR(const T x) { return x * x; }

template <class T1, class T2> inline T1 POW(const T1 x, const T2 y) {
  if (!y)
    return 1;
  else if ((y & 1) == 0) {
    return SQR(POW(x, y >> 1));
  } else
    return POW(x, y ^ 1) * x;
}

template <typename T> constexpr T ABS(T x) { return x < 0 ? -x : x; }

// partial_permutation nPr 順列
// first・・最初の数
// middle・・r(取り出す数)
// last・・n(全体数)
template <class BidirectionalIterator>
bool next_partial_permutation(BidirectionalIterator first,
                              BidirectionalIterator middle,
                              BidirectionalIterator last) {
  reverse(middle, last);
  return next_permutation(first, last);
}

// combination nCr 組み合わせ
// first1・・最初の数
// last1==first2・・r(取り出す数)
// last2・・n(全体数)
template <class BidirectionalIterator>
bool next_combination(BidirectionalIterator first1, BidirectionalIterator last1,
                      BidirectionalIterator first2,
                      BidirectionalIterator last2) {
  if ((first1 == last1) || (first2 == last2)) {
    return false;
  }
  BidirectionalIterator m1 = last1;
  BidirectionalIterator m2 = last2;
  --m2;
  while (--m1 != first1 && !(*m1 < *m2)) {
  }
  bool result = (m1 == first1) && !(*first1 < *m2);
  if (!result) {
    while (first2 != m2 && !(*m1 < *first2)) {
      ++first2;
    }
    first1 = m1;
    std::iter_swap(first1, first2);
    ++first1;
    ++first2;
  }
  if ((first1 != last1) && (first2 != last2)) {
    m1 = last1;
    m2 = first2;
    while ((m1 != first1) && (m2 != last2)) {
      std::iter_swap(--m1, m2);
      ++m2;
    }
    std::reverse(first1, m1);
    std::reverse(first1, last1);
    std::reverse(m2, last2);
    std::reverse(first2, last2);
  }
  return !result;
}

// numeric_law
//--------------------------------------------

template <typename T> constexpr bool ODD(T x) { return x % 2 != 0; }

template <typename T> constexpr bool EVEN(T x) { return x % 2 == 0; }

// 最大公約数
template <class T> inline T GCD(const T x, const T y) {
  if (x < 0)
    return GCD(-x, y);
  if (y < 0)
    return GCD(x, -y);
  return (!y) ? x : GCD(y, x % y);
}

// 最小公倍数
template <class T> inline T LCM(const T x, const T y) {
  if (x < 0)
    return LCM(-x, y);
  if (y < 0)
    return LCM(x, -y);
  return x * (y / GCD(x, y));
}

// ax + by = 1
// x,yが変数に格納される
template <class T> inline T EXTGCD(const T a, const T b, T &x, T &y) {
  if (a < 0) {
    T d = EXTGCD(-a, b, x, y);
    x = -x;
    return d;
  }
  if (b < 0) {
    T d = EXTGCD(a, -b, x, y);
    y = -y;
    return d;
  }
  if (!b) {
    x = 1;
    y = 0;
    return a;
  } else {
    T d = EXTGCD(b, a % b, x, y);
    T t = x;
    x = y;
    y = t - (a / b) * y;
    return d;
  }
}

// 素数
template <class T> inline bool ISPRIME(const T x) {
  if (x <= 1)
    return false;
  for (T i = 2; SQR(i) <= x; i++)
    if (x % i == 0)
      return false;
  return true;
}

// 素数をtrueとして返す
template <class T> VB ERATOSTHENES(const T n) {
  VB arr(n, true);
  for (int i = 2; SQR(i) < n; i++) {
    if (arr[i]) {
      for (int j = 0; i * (j + 2) < n; j++) {
        arr[i * (j + 2)] = false;
      }
    }
  }
  return arr;
}

// a <= x < b の素数を返す
template <typename T> VB ERATOSTHENES(const T a, const T b) {
  VB small = ERATOSTHENES(b);
  VB prime(b - a, true);

  for (int i = 2; (T)(SQR(i)) < b; i++) {
    if (small[i]) {
      for (T j = max(2, (a + i - 1) / i) * i; j < b; j += i) {
        prime[j - a] = false;
      }
    }
  }

  return prime;
}

// 約数
template <class T> vector<T> DIVISOR(T n) {
  vector<T> v;
  for (int i = 1; i * i <= n; ++i) {
    if (n % i == 0) {
      v.push_back(i);
      if (i != n / i) {
        v.push_back(n / i);
      }
    }
  }
  sort(v.begin(), v.end());
  return v;
}

// 組み合わせ個数
template <typename T> T NCR(T n, T r) {
  T ans = 1;
  REPLL(i, r) { ans = ans * (n - i) / (i + 1); }
  return ans;
}

// 行列
int MATRIZ_CHAIN(VI &p, VVI &s) {
  const static int INF = 1 << 20;
  const int n = p.size() - 1;
  VVI X(n, VI(n, INF));
  s.resize(n, VI(n));
  for (int i = 0; i < n; ++i)
    X[i][i] = 0;
  for (int w = 1; w < n; ++w)
    for (int i = 0, j; j = i + w, j < n; ++i)
      for (int k = i; k < j; ++k) {
        int f = p[i] * p[k + 1] * p[j + 1];
        if (X[i][k] + X[k + 1][j] + f < X[i][j]) {
          X[i][j] = X[i][k] + X[k + 1][j] + f;
          s[i][j] = k;
        }
      }
  return X[0][n - 1];
}

// 最長増加部分列
VI LIS(const VI &a) {
  const static int INF = 99999999;
  const int n = a.size();
  VI A(n, INF);
  VI id(n);
  for (int i = 0; i < n; ++i) {
    id[i] = distance(A.begin(), lower_bound(A.begin(), A.end(), a[i]));
    A[id[i]] = a[i];
  }
  int m = *max_element(id.begin(), id.end());
  VI b(m + 1);
  for (int i = n - 1; i >= 0; --i)
    if (id[i] == m)
      b[m--] = a[i];
  return b;
}

// 最長共通部分列 string->toVC
template <typename T> vector<T> LCS(const vector<T> &a, const vector<T> &b) {
  const int n = a.size(), m = b.size();
  vector<VI> X(n + 1, VI(m + 1));
  vector<VI> Y(n + 1, VI(m + 1));
  REP(i, n) {
    REP(j, m) {
      if (a[i] == b[j]) {
        X[i + 1][j + 1] = X[i][j] + 1;
        Y[i + 1][j + 1] = 0;
      } else if (X[i + 1][j] < X[i][j + 1]) {
        X[i + 1][j + 1] = X[i][j + 1];
        Y[i + 1][j + 1] = +1;
      } else {
        X[i + 1][j + 1] = X[i + 1][j];
        Y[i + 1][j + 1] = -1;
      }
    }
  }
  vector<T> c;
  for (int i = n, j = m; i > 0 && j > 0;) {
    if (Y[i][j] > 0)
      --i;
    else if (Y[i][j] < 0)
      --j;
    else {
      c.PB(a[i - 1]);
      --i;
      --j;
    }
  }
  REVERSE(c);
  return c;
}

// コイン C総額 cs使用できるコインの種類
VI money_change(int C, VI &cs) {
  const int INF = 99999999;
  int n = cs.size();
  VI xs(C + 1, INF);
  VI ys(C + 1);
  xs[0] = 0;
  for (int i = 0; i < n; ++i) {
    for (int c = 0; c + cs[i] <= C; ++c) {
      if (xs[c + cs[i]] > xs[c] + 1) {
        xs[c + cs[i]] = xs[c] + 1;
        ys[c + cs[i]] = c;
      }
    }
  }
  VI zs;
  for (int c = C; c > 0; c = ys[c]) {
    zs.push_back(c - ys[c]);
  }
  return zs;
}

// confirmation
//--------------------------------------------

// clear memory
#define CLR(a, b) memset((a), (b), sizeof(a))

// debug
#define dump(x) cerr << #x << " = " << (x) << endl;
#define debug(x)                                                               \\
  cerr << #x << " = " << (x) << " (L" << __LINE__ << ")"                       \\
       << " " << __FILE__ << endl;

/*
 *
 *
 *   ~~~~Below My Answer~~~~
 *
 *
 * */

bool comp(const string &left, const string &right) {
  return left.length() > right.length();
}

int main() {

  int N;

  while (true) {
    cin >> N;

    if (N == 0) {
      break;
    }

    VS S(N);
    REP(i, N) { cin >> S[i]; }

    if (N == 1) {
      OUT_L(S[0]);
      continue;
    }

    sort(S.begin(), S.end(), comp);

    int index = 0;
    int sum = 0;
    while (true) {

      if (index >= N) {
        break;
      }

      int length = S[index].size();
      int count = 0;
      while (S[index + count].size() == length) {
        count++;
      }

      VI datas;
      for (int i = 0; i < count; i++) {
        if (S[index + i][length - 1] != '+' &&
            S[index + i][length - 1] != '*') {
          datas.push_back(S[index + i][length - 1] - '0');
        }
      }

      bool plus = true;
      for (int i = 0; i < N; i++) {
        if (S[i].length() == length - 1) {
          if (S[i][length - 1 - 1] == '*') {
            plus = false;
          }
        }
      }

      if (plus) {
        for (int i = 0; i < datas.size(); i++) {
          sum += datas[i];
        }
      } else {
        if (sum == 0) {
          sum = 1;
        }
        for (int i = 0; i < datas.size(); i++) {
          sum *= datas[i];
        }
      }

      index += count;
    }

    OUT_L(sum);
  }

  return 0;
}