//#include <bits/stdc++.h>
 
#include <iostream>
#include <algorithm>
 
#include <bitset>
#include <vector>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <stack>
#include <queue>
#include <deque>
#include <cstring>
#include <string>
#include <utility>
#include <array>
#include <complex>
#include <valarray>
 
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <chrono>
#include <random>
#include <numeric>
 
 
using namespace std;
#define int long long
 
typedef long long ll;
typedef unsigned long long ull;
//typedef unsigned __int128 HASH;
typedef pair<int,int> pii;
typedef pair<ll, ll> pll;
typedef pair<ull, ull> pullull;
typedef pair<ll,int> plli;
typedef pair<double, int> pdbi;
typedef pair<int,pii> pipii;
typedef pair<ll,pll> plpll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<vi> vvi;
typedef vector<vvi> vvvi;
typedef vector<pii> vpii;
typedef vector<vector<int>> mat;
 
#define rep(i,n) for (int i=0;i<(n);i++)
#define rep2(i,a,b) for (int i=(a);i<(b);i++)
#define rrep(i,n) for (int i=(n);i>0;i--)
#define rrep2(i,a,b) for (int i=(a);i>b;i--)
#define pb push_back
#define fi first
#define se second
#define all(a) (a).begin(),(a).end()
#define rall(a) (a).rbegin(),(a).rend()
 
const ll hmod1 = 999999937;
const ll hmod2 = 1000000000 + 9;
const int INF = 1<<30;
const ll INFLL = 1LL<<62;
const double EPS = 1e-12;
const ll mod = 1000000000 + 7;
const int dx4[4] = {1, 0, -1, 0};
const int dy4[4] = {0, 1, 0, -1};
const int dx8[8] = {1, 1, 1, 0, 0, -1, -1, -1};
const int dy8[8] = {0, 1, -1, 1, -1, 0, 1, -1};
const double pi = 3.141592653589793;
 
#define addm(X, Y) (X) = ((X) + ((Y) % mod) + mod) % mod
#define inside(y, x, h, w) (0 <= (y) && (y) < (h) && 0 <= (x) && (x) < (w)) ? true : false

//debug
#define DEBUG 
 
#define DUMPOUT cout
 
#ifdef DEBUG
#define dump(...) DUMPOUT<<#__VA_ARGS__<<" :["<<__FUNCTION__<<":"<<__LINE__<<"]"<<endl; DUMPOUT<<"    "; dump_func(__VA_ARGS__)
#else
#define dump(...) 
#endif

void dump_func() {DUMPOUT << endl;};

template <class Head, class... Tail> void dump_func(Head&& head, Tail&&... tail) {
    DUMPOUT << head;
    if (sizeof...(Tail) == 0) DUMPOUT << " ";
    else DUMPOUT << ", ";
    dump_func(std::move(tail)...);
}

//ostream 
template<typename T> ostream& operator << (ostream& os, vector<T>& vec) {
    os << "["; for (int i = 0; i<vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : ", "); os << "]";
    return os;
}

template<typename T, typename U> ostream& operator << (ostream& os, pair<T, U>& pair_var) {
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}

template<typename T, typename U> ostream& operator << (ostream& os, map<T, U>& map_var) {
    os << "[";
    for (auto itr = map_var.begin(); itr != map_var.end(); itr++) {
        os << "(" << itr->first << ", " << itr->second << ")"; itr++;  if(itr != map_var.end()) os << ", "; itr--;
    }
    os << "]";
    return os;
}

template<typename T> ostream& operator << (ostream& os, set<T>& set_var) {
    os << "[";
    for (auto itr = set_var.begin(); itr != set_var.end(); itr++) {
        os << *itr; ++itr; if(itr != set_var.end()) os << ", "; itr--;
    }
    os << "]";
    return os;
}


signed main() {	
    cin.tie(0);
    ios::sync_with_stdio(false);
	int n;
	cin >> n;
	rep(_, n) {
		string s;
		cin >> s;
		vector<vector<int>> l(10000), r(10000);
		int m = s.size();
		int cnt = 0;
		int mxcnt = 0;
		rep(i, m) {
			if (s[i] == '[') {
				mxcnt = max(mxcnt, cnt);
				l[cnt].push_back(i);
				cnt++;
			}
			else if (s[i] == ']') {
				cnt--;
				r[cnt].push_back(i);
			}
		}
		vector<pair<int, pair<int, int>>> v;
		rrep2(i, mxcnt, -1) {
			vector<pair<int, pair<int, int>>> nxv;
			int now = 0;
			rep(j, l[i].size()) {
				vector<pair<int, pair<int, int>>> tmpv;
				if (i == mxcnt) {
					int num = stoi(s.substr(l[i][j] + 1, r[i][j] - l[i][j] - 1));
					nxv.push_back({num / 2 + 1, {l[mxcnt][j], r[mxcnt][j]}});
					continue;
				}
				//dump(v);
				int lt = l[i][j], rt = r[i][j];
				while (now < r[i + 1].size() && r[i + 1][now] < rt) {
					tmpv.push_back({v[now].fi, {v[now].se.fi, v[now].se.se}});
					now++;
				}
				sort(all(tmpv));
				int tmp = 0;
				rep(k, tmpv.size() / 2 + 1) {
					tmp += tmpv[k].fi;
				}
				nxv.push_back({tmp, {lt, rt}});
			}
			v = nxv;
		}
		//dump(v);
		cout << v[0].fi << endl;
	}

}	

Measured memory_bytes: 3668