#include<iostream>
#include<algorithm>
#include<vector>
#include<cstring>
using namespace std;
char s[300010];
int main() {
    int t; cin >> t;
    while (t--) {
        cin >> s;
        int n = strlen(s);
        int ans[30] = {};
        ans[0] = (n + 1)% 2;
        int cnt = 1;
        for (int i = 0; i <= n; i++) {
            if (s[i] == '?')cnt++;
            else {
                for (int j = 1; j < 30; j++) {
                    if (cnt&(1 << j)) {
                        if (ans[j] == 0)ans[j] = 1;
                        else {
                            for (int k = 1; k < j; k++) {
                                ans[k] = 1;
                            }
                        }
                    }
                }
                cnt = 1;
            }
        }
        int p = 0;
        for (int i = 0; i < 30; i++) {
            p += ans[i] ? (1 << i) : 0;
        }
        cout << p << endl;
    }
}