Polycarp came up with a new programming language. There are only two types of statements in it: 

  * "x := s": assign the variable named x the value s (where s is a string). For example, the statement var := hello assigns the variable named var the value hello. Note that s is the value of a string, not the name of a variable. Between the variable name, the := operator and the string contains exactly one space each.
  * "x = a + b": assign the variable named x the concatenation of values of two variables a and b. For example, if the program consists of three statements a := hello, b := world, c = a + b, then the variable c will contain the string helloworld. It is guaranteed that the program is correct and the variables a and b were previously defined. There is exactly one space between the variable names and the = and + operators. 



All variable names and strings only consist of lowercase letters of the English alphabet and do not exceed 5 characters.

The result of the program is the number of occurrences of string haha in the string that was written to the variable in the last statement.

Polycarp was very tired while inventing that language. He asks you to implement it. Your task is — for given program statements calculate the number of occurrences of string haha in the last assigned variable.

Input

The first line contains an integer t (1 ≤ t ≤ 10^3). Then t test cases follow.

The first line of each test case contains a single integer n (1 ≤ n ≤ 50) — the number of statements in the program. All variable names and strings are guaranteed to consist only of lowercase letters of the English alphabet and do not exceed 5 characters.

This is followed by n lines describing the statements in the format described above. It is guaranteed that the program is correct.

Output

For each set of input data, output the number of occurrences of the haha substring in the string that was written to the variable in the last statement.

Example

Input


4
6
a := h
b := aha
c = a + b
c = c + c
e = c + c
d = a + c
15
x := haha
x = x + x
x = x + x
x = x + x
x = x + x
x = x + x
x = x + x
x = x + x
x = x + x
x = x + x
x = x + x
x = x + x
x = x + x
x = x + x
x = x + x
1
haha := hah
5
haahh := aaaha
ahhhh = haahh + haahh
haahh = haahh + haahh
ahhhh = ahhhh + haahh
ahhaa = haahh + ahhhh


Output


3
32767
0
0

Note

In the first test case the resulting value of d is hhahahaha.
#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp> 
// #include <ext/pb_ds/tree_policy.hpp> 
using namespace std;
// using namespace __gnu_pbds;
#define rep(i, a, b) for (int (i) = (a); (i) < (b); ++(i))
#define per(i, a, b) for (int (i) = (a); (i) >= (b); --(i))
#define pb push_back
#define mp make_pair
#define mt make_tuple
#define eb emplace_back
#define ff first
#define ss second
#define sz(x) ((int) x.size())
#define rd(type, ...) type __VA_ARGS__; sc(__VA_ARGS__)
#define rda(a, n) rep(i, 0, n) cin >> a[i];
#define rdaa(a, n, m) rep(i, 0, n) rep(j, 0, m) cin >> a[i][j];
#define rdv(type, v, n) vector<type> v(n); rep(__ii, 0, n) cin >> v[__ii]
#define rdm(type, v, h, w) vector<vector<type>> v(h, vector<type>(w)); rep(__ii, 0, h) rep(__jj, 0, w) cin >> v[__ii][__jj]
#define rdv2(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_rdv2_Init(n, __VA_ARGS__); for(int w_=0; w_<n; ++w_){MACRO_rdv2_Scan(w_, __VA_ARGS__);}
#define dbg(...) cerr << "[" << #__VA_ARGS__ << "] : ", debug_out(__VA_ARGS__)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define err2(x) {wr(x); return;}
#define int ll
typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef pair<int, int> pii;
typedef vector<pii> vpii;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
// typedef tree<int, null_type, less, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
// order_of_key (k) : Number of items strictly smaller than k .
// find_by_order(k) : K-th element in a set (counting from zero).
void rset();
void init_test();
void solve();
signed main() {ios::sync_with_stdio(false); cin.tie(0);
  cout << fixed; cout.precision(20); init_test(); return 0;}
template<typename T> void chmin(T &a, T b) {if (a > b) a = b;}
template<typename T> void chmax(T &a, T b) {if (a < b) a = b;}
template<typename T> void MACRO_rdv2_Init(int n,  T& t) { t.resize(n); }
template<typename First, typename... Rest> void MACRO_rdv2_Init(int n, First& first, Rest& ...rest) { first.resize(n); MACRO_rdv2_Init(n, rest...); }
template<typename T> void MACRO_rdv2_Scan(int p, T& t) { std::cin >> t[p]; }
template<typename First, typename... Rest> void MACRO_rdv2_Scan(int p, First& first, Rest& ...rest) { std::cin >> first[p]; MACRO_rdv2_Scan(p, rest...); }
template<typename T> void wrv(const vector<T> &v) {rep(__ii, 0, sz(v)) {if (__ii) cout << ' '; cout << v[__ii];} cout << '\n';} 
template<typename T> void wrm(const vector<vector<T>> &v) {rep(__ii, 0, sz(v)) {rep(__jj, 0, v[__ii].size()) {if (__jj) cout << ' '; cout << v[__ii][__jj];} cout << '\n';}}
template<typename T> void sc(T& x) {cin >> x;}
template<typename Head, typename... Tail> void sc(Head& head, Tail&... tail) {cin >> head; sc(tail...);}
template<typename T> void wr(const T& x) {cout << x << '\n';}
template<typename Head, typename... Tail> void wr(const Head& head, const Tail&... tail) {cout << head << ' '; wr(tail...);}
template<typename T> void wrf(const T& x) {cout << x << endl;}
template<typename Head, typename... Tail> void wrf(const Head& head, const Tail&... tail) {cout << head << ' '; wrf(tail...);}
template<typename T> void debug_out(const T& x) {cerr << x << '\n';}
template<typename Head, typename... Tail> void debug_out(const Head& head, const Tail&... tail) {cerr << head << ' '; debug_out(tail...);}
template<typename... T> void err(const T&... cod) {wr(cod...); exit(0);}

int calc(string a) {
  int n = sz(a), ans = 0;
  rep(i, 0, n - 3) {
    if (a.substr(i, 4) == "haha") {
      ++ans;
    }
  }
  return ans;
}

string get(string a) {
  int n = sz(a);
  if (n > 6) a = a.substr(0, 3) + a.substr(n - 3, 3);
  return a;
}

vector<string> tokenize(string s) {
  // Vector of string to save tokens
  vector <string> tokens;
    
  // stringstream class check1
  stringstream check1(s);
    
  string intermediate;
    
  // Tokenizing w.r.t. space ' '
  while(getline(check1, intermediate, ' ')) {
    tokens.push_back(intermediate);
  }

  return tokens;
}

void solve() {
  rd(int, n);
  cin.ignore();
  map<string, int> mav;
  map<string, string> mas;
  string lst;
  while (n--) {
    string s;
    getline(cin, s);
    vector<string> a = tokenize(s);
    lst = a[0];
    if (sz(a) == 3) {
      mav[a[0]] = calc(a[2]);
      mas[a[0]] = get(a[2]);
    } else {
      string x = mas[a[2]];
      string y = mas[a[4]];
      if (sz(x) > 3) x = x.substr(sz(x) - 3, 3);
      if (sz(y) > 3) y = y.substr(0, 3);
      if (calc(x + y) > 0) {
        mav[a[0]] = mav[a[2]] + mav[a[4]] + calc(x + y);
        mas[a[0]] = get(mas[a[2]] + mas[a[4]]);
      } else {
        mav[a[0]] = mav[a[2]] + mav[a[4]];
        mas[a[0]] = get(mas[a[2]] + mas[a[4]]);
      }
    }
    // wr(mav[lst]);
  }
  wr(mav[lst]);
}

void init_test() {
  // freopen("input.txt", "r", stdin);
  // freopen("output.txt", "w", stdout);
  int qq = 1;
  cin >> qq;
  while (qq--) solve();
}