Go: package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
	"strings"
)

func main() {
	io := NewIo()
	defer io.Flush()
	for {
		S := io.NextLine()
		if S == "." {
			break
		}
		P := io.NextLine()
		i := 0
		val := hash(S, P, &i)
		cnt := 0
		for j := 0; j < 10000; j++ {
			i = 0
			if hash(S, fmt.Sprintf("%04d", j), &i) == val {
				cnt++
			}
		}
		io.Println(val, cnt)
	}
}

func hash(s, n string, i *int) int {
	if s[*i] == '[' {
		*i++
		switch s[*i] {
		case '+':
			*i++
			l := hash(s, n, i)
			r := hash(s, n, i)
			*i++
			return l | r
		case '*':
			*i++
			l := hash(s, n, i)
			r := hash(s, n, i)
			*i++
			return l & r
		case '^':
			*i++
			l := hash(s, n, i)
			r := hash(s, n, i)
			*i++
			return l ^ r
		}
	}
	x := int(n[s[*i]-'a'] - '0')
	*i++
	return x
}

// I/O template
type Io struct {
	reader    *bufio.Reader
	writer    *bufio.Writer
	tokens    []string
	nextToken int
}

func NewIo() *Io {
	return &Io{
		reader: bufio.NewReader(os.Stdin),
		writer: bufio.NewWriter(os.Stdout),
	}
}

func (io *Io) Flush() {
	err := io.writer.Flush()
	if err != nil {
		panic(err)
	}
}

func (io *Io) NextLine() string {
	var buff []byte
	for {
		line, isPrefix, err := io.reader.ReadLine()
		if err != nil {
			panic(err)
		}
		buff = append(buff, line...)
		if !isPrefix {
			break
		}
	}
	return string(buff)
}

func (io *Io) Next() string {
	for io.nextToken >= len(io.tokens) {
		line := io.NextLine()
		io.tokens = strings.Fields(line)
		io.nextToken = 0
	}
	s := io.tokens[io.nextToken]
	io.nextToken++
	return s
}

func (io *Io) NextInt() int {
	i, err := strconv.Atoi(io.Next())
	if err != nil {
		panic(err)
	}
	return i
}

func (io *Io) NextFloat() float64 {
	i, err := strconv.ParseFloat(io.Next(), 64)
	if err != nil {
		panic(err)
	}
	return i
}

func (io *Io) Println(a ...interface{}) {
	fmt.Fprintln(io.writer, a...)
}

func (io *Io) Printf(format string, a ...interface{}) {
	fmt.Fprintf(io.writer, format, a...)
}

func (io *Io) PrintIntSlice(a []int) {
	b := []interface{}{}
	for _, x := range a {
		b = append(b, x)
	}
	io.Println(b...)
}

func (io *Io) PrintStringSlice(a []string) {
	b := []interface{}{}
	for _, x := range a {
		b = append(b, x)
	}
	io.Println(b...)
}

func Log(name string, value interface{}) {
	fmt.Fprintf(os.Stderr, "%s=%+v\n", name, value)
}

func ExampleIo() {
	io := NewIo()
	defer io.Flush()
	a := make([]int, 0, 3)
	a[0], a[1], a[2] = io.NextInt(), io.NextInt(), io.NextInt()
	io.Println(a)
	io.PrintIntSlice(a)
	Log("io", a)
}

C++: #include <iostream>
#include <iomanip>
#include <cstdio>
#include <string>
#include <cstring>
#include <deque>
#include <list>
#include <queue>
#include <stack>
#include <vector>
#include <utility>
#include <algorithm>
#include <map>
#include <set>
#include <complex>
#include <cmath>
#include <limits>
#include <cfloat>
#include <climits>
#include <ctime>
#include <cassert>
#include <numeric>
#include <fstream>
#include <functional>
#include <bitset>

using namespace std;
#define int long long int
const int INF = 1001001001001001LL;

int di[] = {-1, 0, 1, 0, -1, 1, 1, -1};
int dj[] = {0, 1, 0, -1, 1, 1, -1, -1};


int f(const string& s, char a, char b, char c, char d, int l, int r){
    //cout << l << " " << r << " " << s[l] << " " << s[r] << endl;
    if(r == l){
        
        if(s[l] == 'a') return a - '0';
        if(s[l] == 'b') return b - '0';
        if(s[l] == 'c') return c - '0';
        if(s[l] == 'd') return d - '0';
    }
    
    assert(s[l] == '[');
    assert(s[r] == ']');
    char op = s[l + 1];
    //cerr << op << endl;
    int x, y;
    l += 2;
    if(s[l] != '['){
        x = f(s, a, b, c, d, l, l);
        l++;
    }else{
        int nr = l;
        while(s[nr] != ']'){
            nr++;
        }
        x = f(s, a, b, c, d, l, nr);
        l = nr + 1;
    }

    
    if(s[l] != '['){
        y = f(s, a, b, c, d, l, l);
        l++;
    }else{
        int nr = l;
        while(s[nr] != ']'){
            nr++;
        }
        y = f(s, a, b, c, d, l, nr);
        l = nr + 1;
    }

    int ret = 0;
    if(op == '+') ret = x | y;
    else if(op == '*') ret = x & y;
    else ret = x ^ y;
    

    //cerr << op << " " << x << " " << y << " " << ret << endl;
    return ret;

}

signed main(){
    
    //cin >> s;
    //cout << f('0', '4', '0', '4', 0, s.size()) << endl;
    
    while(1){
        string s; cin >> s;
        if(s == ".") break;
        string p; cin >> p;
        int n = s.size();

        int val = f(s, p[0], p[1], p[2], p[3], 0, n - 1);
        int ans = 0;
        
        for(char a = '0'; a <= '9'; a++){
            for(char b = '0'; b <= '9'; b++){
                for(char c = '0'; c <= '9'; c++){
                    for(char d = '0'; d <= '9'; d++){
                        if(val == f(s, a, b, c, d, 0, n - 1)) ans++;
                    }
                }
            }
        }

        cout << val << " " << ans << endl;
    }

    return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;
typedef long long lint;

string S, P;

string itos(int n) {
	string S(4, '$');
	for(int i = 0; i < 4; ++i) {
		S[i] = n % 10 + '0';
		n /= 10;
	}
	return S;
}

int expr(int&);

int myhash(int& i) {
	// cerr << "myhash : " << i << endl;
	int ret;
	if (S[i] == '[') {
		++i;
		ret = expr(i);
		assert(S[i] == ']');
		++i;
	} else {
		assert('a' <= S[i] && S[i] <= 'd');
		ret = P[S[i] - 'a'] - '0';
		++i;
	}
	return ret;
}

int expr(int& i) {
	// cerr << "expr : " << i << endl;
	char c = S[i];
	++i;
	int a = myhash(i);
	int b = myhash(i);

	int ret;
	if (c == '+') {
		ret = a | b;
	} else if (c == '*') {
		ret = a & b;
	} else if (c == '^') {
		ret = a ^ b;
	} else {
		cerr << "op : " << c << endl;
		terminate();
	}
	return ret;
}

bool solve() {
	cin >> S;
	if (S == ".") return false;

	cin >> P;
	int i = 0;
	int h = myhash(i);

	int cnt = 0;
	for(int n = 0; n < 10000; ++n) {
		P = itos(n);
		i = 0;
		if (myhash(i) == h) ++cnt;
	}

	cout << h << " " << cnt << endl;
	return true;
}

int main() {
	while (solve());
	return 0;
}