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 <bits/stdc++.h>
using namespace std;

int hash_(string const& s, int& p, vector<int> const& vs) {
    if(isalpha(s[p])) {
        return vs[s[p++] - 'a'];
    }
    if(s[p] == '[') {
        const auto op = s[++p];
        const auto h1 = hash_(s, ++p, vs);
        const auto h2 = hash_(s, p, vs);
        p++; // ']'
        if(op == '+') {
            return h1 | h2;
        } else if(op == '*') {
            return h1 & h2;
        } else {
            return h1 ^ h2;
        }
    }
    assert(false);
    return -1;
}
int parse(string const& s, vector<int> const& vs) {
    int p = 0;
    return hash_(s, p, vs);
}

int main() {
    string exp;
    while(cin >> exp, exp != ".") {
        vector<int> you(4);
        {
            string s; cin >> s;
            for(int i = 0; i < 4; ++i) {
                you[i] = s[i] - '0';
            }
        }
        const auto your_hs = parse(exp, you);
        int ans = 0;
        for(int a = 0; a <= 9; ++a) {
            for(int b = 0; b <= 9; ++b) {
                for(int c = 0; c <= 9; ++c) {
                    for(int d = 0; d <= 9; ++d) {
                        ans += parse(exp, {a, b, c, d}) == your_hs;
                    }
                }
            }
        }

        cout << your_hs << ' ' << ans << endl;
    }
}