#include<bits/stdc++.h>
#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 REP(i,n) for(int i=(0);i<(n);i++)
#define fi first
#define se second
#define pb push_back
#define mp make_pair
using namespace std;
typedef pair<int,int> pii;
typedef vector<int> vi;
typedef long long ll;

template<class T> inline void read(T &x){
    int f=0;x=0;char ch=getchar();
    for(;!isdigit(ch);ch=getchar())f|=(ch=='-');
    for(;isdigit(ch);ch=getchar())x=x*10+ch-'0';
    if(f)x=-x;
}

const int N=(1<<20)+5;
int lg[N],n,res;
char s[N];

void MAIN(){
    scanf("%s",s+1);
    n=strlen(s+1),res=0;
    int las=0;
    rep(i,1,n+1)
        if(s[i]=='^'||i==n+1){
            int now=(i-las)/2;
            //cerr<<now<<endl;
            per(i,lg[now],0)
                if(!(res>>i&1)&&(now>=(1<<i)))
                    res+=1<<i,now-=1<<i;
            las=i;
        }
    printf("%d\n",res*2+1-(n&1));
}

int main(){
    int T;
    read(T);
    lg[0]=-1;
    rep(i,1,(1<<20))
        lg[i]=lg[i>>1]+1;
    while(T--)
        MAIN();
    
    return 0;
}