/*
 Author : Speedcell
 Update : 2013-05-30
Version : soppYcell 2.2(a)
*/

#include <algorithm>
#include <iostream>
#include <fstream>
#include <sstream>
#include <iomanip>

#include <map>
#include <set>
#include <list>
#include <stack>
#include <queue>
#include <deque>
#include <vector>
#include <string>
#include <bitset>
#include <memory>
#include <complex>
#include <numeric>

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <time.h>
#include <ctype.h>
#include <locale.h>

using namespace std;

#pragma pack(4)

#ifndef __CONSTANT__
#define __CONSTANT__

typedef long long LONG;

const double pi = acos(-1.0);
const int   inf = 0x7f7f7f7f;
const LONG  INF = 0x7f7f7f7f7f7f7f7fll;

const int go[8][2] = {{0,1},{0,-1},{1,0},{-1,0},{1,1},{1,-1},{-1,1},{-1,-1}};

#endif // __CONSTANT__

#ifndef __IO__
#define __IO__

inline bool RD(int    & a) {return scanf("%d",&a)!=EOF;}
inline bool RD(char   & a) {return scanf("%c",&a)!=EOF;}
inline bool RD(char   * a) {return scanf("%s", a)!=EOF;}
inline bool RD(double & a) {return scanf("%lf",&a)!=EOF;}
inline bool RD(LONG   & a) {return scanf("%I64d",&a)!=EOF;}

template<class T1> inline bool
    IN(T1 & a) {return RD(a);}
template<class T1,class T2> inline bool
    IN(T1 & a,T2 & b) {return RD(a)&&RD(b);}
template<class T1,class T2,class T3> inline bool
    IN(T1 & a,T2 & b,T3 & c) {return RD(a)&&RD(b)&&RD(c);}
template<class T1,class T2,class T3,class T4> inline bool
    IN(T1 & a,T2 & b,T3 & c,T4 & d) {return RD(a)&&RD(b)&&RD(c)&&RD(d);}
template<class T1,class T2,class T3,class T4,class T5> inline bool
    IN(T1 & a,T2 & b,T3 & c,T4 & d,T5 & e) {return RD(a)&&RD(b)&&RD(c)&&RD(d)&&RD(e);}
template<class T1,class T2,class T3,class T4,class T5,class T6> inline bool
    IN(T1 & a,T2 & b,T3 & c,T4 & d,T5 & e,T6 & f) {return RD(a)&&RD(b)&&RD(c)&&RD(d)&&RD(e)&&RD(f);}
template<class T1,class T2,class T3,class T4,class T5,class T6,class T7> inline bool
    IN(T1 & a,T2 & b,T3 & c,T4 & d,T5 & e,T6 & f,T7 & g) {return RD(a)&&RD(b)&&RD(c)&&RD(d)&&RD(e)&&RD(f)&&RD(g);}

inline void PT(int    a) {printf("%d",a);}
inline void PT(char   a) {printf("%c",a);}
inline void PT(char * a) {printf("%s",a);}
inline void PT(double a) {printf("%f",a);}
inline void PT(LONG   a) {printf("%I64d",a);}
inline void PT(const char a[]) {printf("%s",a);}

template<class T1> inline void
    OT(T1 a) {PT(a);}
template<class T1,class T2> inline void
    OT(T1 a,T2 b) {PT(a),PT(' '),PT(b);}
template<class T1,class T2,class T3> inline void
    OT(T1 a,T2 b,T3 c) {PT(a),PT(' '),PT(b),PT(' '),PT(c);}
template<class T1,class T2,class T3,class T4> inline void
    OT(T1 a,T2 b,T3 c,T4 d) {PT(a),PT(' '),PT(b),PT(' '),PT(c),PT(' '),PT(d);}
template<class T1,class T2,class T3,class T4,class T5> inline void
    OT(T1 a,T2 b,T3 c,T4 d,T5 e) {PT(a),PT(' '),PT(b),PT(' '),PT(c),PT(' '),PT(d),PT(' '),PT(e);}
template<class T1,class T2,class T3,class T4,class T5,class T6> inline void
    OT(T1 a,T2 b,T3 c,T4 d,T5 e,T6 f) {PT(a),PT(' '),PT(b),PT(' '),PT(c),PT(' '),PT(d),PT(' '),PT(e),PT(' '),PT(f);}
template<class T1,class T2,class T3,class T4,class T5,class T6,class T7> inline void
    OT(T1 a,T2 b,T3 c,T4 d,T5 e,T6 f,T7 g) {PT(a),PT(' '),PT(b),PT(' '),PT(c),PT(' '),PT(d),PT(' '),PT(e),PT(' '),PT(f),PT(' '),PT(g);}

template<class T1> inline void
    OL(T1 a) {PT(a),PT('\n');}
template<class T1,class T2> inline void
    OL(T1 a,T2 b) {PT(a),PT(' '),PT(b),PT('\n');}
template<class T1,class T2,class T3> inline void
    OL(T1 a,T2 b,T3 c) {PT(a),PT(' '),PT(b),PT(' '),PT(c),PT('\n');}
template<class T1,class T2,class T3,class T4> inline void
    OL(T1 a,T2 b,T3 c,T4 d) {PT(a),PT(' '),PT(b),PT(' '),PT(c),PT(' '),PT(d),PT('\n');}
template<class T1,class T2,class T3,class T4,class T5> inline void
    OL(T1 a,T2 b,T3 c,T4 d,T5 e) {PT(a),PT(' '),PT(b),PT(' '),PT(c),PT(' '),PT(d),PT(' '),PT(e),PT('\n');}
template<class T1,class T2,class T3,class T4,class T5,class T6> inline void
    OL(T1 a,T2 b,T3 c,T4 d,T5 e,T6 f) {PT(a),PT(' '),PT(b),PT(' '),PT(c),PT(' '),PT(d),PT(' '),PT(e),PT(' '),PT(f),PT('\n');}
template<class T1,class T2,class T3,class T4,class T5,class T6,class T7> inline void
    OL(T1 a,T2 b,T3 c,T4 d,T5 e,T6 f,T7 g) {PT(a),PT(' '),PT(b),PT(' '),PT(c),PT(' '),PT(d),PT(' '),PT(e),PT(' '),PT(f),PT(' '),PT(g),PT('\n');}

#endif // __IO__

#ifndef __MACRO__
#define __MACRO__

#define ML(times) int tcase; IN(tcase); FOR(times,1,tcase)

#define FOR(i,a,b) for(int i=int(a),_##i=int(b);i<=_##i;i++)
#define DWN(i,b,a) for(int i=int(b),_##i=int(a);_##i<=i;i--)
#define ECH(i,u,pre,next) for(int i=int(pre[u]);i!=-1;i=int(next[i]))

#define MEM(a,v) memset(a,v,sizeof(a))
#define CLR(a,v) FOR(_i##a,0,sizeof(a)/sizeof(a[0])-1) a[_i##a]=v

#define LOOP(a,n)                                               \
    FOR(_i##a,0,(n)-1)                                          \
        OT(a[_i##a]),OT(_i##a!=__i##a?' ':'\n')
#define LOOP2(a,n,m)                                            \
    FOR(_i##a,0,(n)-1) FOR(_j##a,0,(m)-1)                       \
        OT(a[_i##a][_j##a]),OT(_j##a!=__j##a?' ':'\n')
#define LOOPG(G,n,pre,next)                                     \
    FOR(_i##a,0,(n)-1) ECH(_j##a,_i##a,pre,next)                \
        OL(_i##a,G[_j##a].v,G[_j##a].w)

#endif // __MACRO__

#ifndef __BIT__
#define __BIT__

template<class T> inline T lb(T i) {return i&-i;}
template<class T> inline T lc(T i) {return i<<1;}
template<class T> inline T rc(T i) {return i<<1|1;}
template<class T> inline T at(T a,int i) {return a& (T(1)<<i);}
template<class T> inline T nt(T a,int i) {return a^ (T(1)<<i);}
template<class T> inline T s1(T a,int i) {return a| (T(1)<<i);}
template<class T> inline T s0(T a,int i) {return a&~(T(1)<<i);}

#endif // __BIT__

#ifndef __DOUBLE__
#define __DOUBLE__

const double eps = 1e-8;

inline int cmp(double a,double b=0) {return fabs(b-a)<eps?0:((b-a)<eps?+1:-1);}

inline double smax(double a,double b) {return cmp(b,a)<0?a:b;}
inline double smin(double a,double b) {return cmp(a,b)<0?a:b;}
template<typename type> inline type smax(type a,type b) {return b<a?a:b;}
template<typename type> inline type smin(type a,type b) {return a<b?a:b;}

#endif // __DOUBLE__

const int MAXV = 51;
const int MAXE = 1<<10;

int n,m,s;
char a[MAXV][MAXV],b[MAXV][MAXV];
map<int,map<int,map<int,bool> > > switcher;//TODO

deque<int> X,Y,F,B;
int dis[MAXV][MAXV][2][MAXE];
bool inq[MAXV][MAXV][2][MAXE];

int floor(int x,int y,int b)
{
	int ans=(a[x][y]=='^'||('A'<=a[x][y]&&a[x][y]<='Z'));
	FOR(i,0,s-1) if(at(b,i))
	{
		if(switcher[i][x][y]) ans^=1;
	}
	return ans;
}
bool sameFloor(int x,int y,int f,int b)
{
	if(a[x][y]=='#') return false;
	else if(a[x][y]=='|') return true;
	else return floor(x,y,b)==f;
}
bool within(int x,int y,int f,int b)
{
	if((0<=x&&x<n)&&(0<=y&&y<m)) return sameFloor(x,y,f,b);
	else return false;
}

void update(int xx,int yy,int ff,int bb,int x,int y,int f,int b)
{
	if(dis[xx][yy][ff][bb]>dis[x][y][f][b]+1)
	{
		dis[xx][yy][ff][bb]=dis[x][y][f][b]+1;
		if(!inq[xx][yy][ff][bb])
		{
			inq[xx][yy][ff][bb]=true;
			X.push_back(xx);
			Y.push_back(yy);
			F.push_back(ff);
			B.push_back(bb);
		}
	}
}

int SPFA(int x,int y,int f,int b,int tx,int ty)
{
	MEM(dis,inf); dis[x][y][f][b]=0;
	MEM(inq,false); inq[x][y][f][b]=true;

	while(!X.empty()) X.pop_front();
	while(!Y.empty()) Y.pop_front();
	while(!F.empty()) F.pop_front();
	while(!B.empty()) B.pop_front();
	X.push_back(x);
	Y.push_back(y);
	F.push_back(f);
	B.push_back(b);

	while(!X.empty())
	{
		x=X.front(); X.pop_front();
		y=Y.front(); Y.pop_front();
		f=F.front(); F.pop_front();
		b=B.front(); B.pop_front();
		inq[x][y][f][b]=false;
		if(x==tx&&y==ty&&sameFloor(tx,ty,f,b)) return dis[x][y][f][b];
		FOR(i,0,3)
		{
			int xx=x+go[i][0];
			int yy=y+go[i][1];
			if(within(xx,yy,f,b)) update(xx,yy,f,b,x,y,f,b);
		}
		if(a[x][y]=='|')
			update(x,y,!f,b,x,y,f,b);
		if(sameFloor(x,y,f,b)&&'a'<=a[x][y]&&a[x][y]<='z')
			update(x,y,f^switcher[a[x][y]-'a'][x][y],nt(b,a[x][y]-'a'),x,y,f,b);
		if(sameFloor(x,y,f,b)&&'A'<=a[x][y]&&a[x][y]<='Z')
			update(x,y,f^switcher[a[x][y]-'A'][x][y],nt(b,a[x][y]-'A'),x,y,f,b);
	}

	int ans=inf;
	FOR(i,0,((1<<s)-1))
	{
		ans=smin(ans,dis[tx][ty][floor(tx,ty,i)][i]);
	}
	return ans==inf?-1:ans;
}

int main()
{
    while(IN(m,n))
	{
		FOR(i,0,n-1)
		{
			getchar();
			IN(a[i]);
		}
		IN(s);
		switcher.clear();
		FOR(k,0,s-1)
		{
			FOR(i,0,n-1)
			{
				getchar();
				IN(b[i]);
			}
			FOR(i,0,n-1) FOR(j,0,m-1)
			{
				if(b[i][j]=='*')
				{
					switcher[k][i][j]=true;
				}
			}
		}
		int x,y,tx,ty;
		FOR(i,0,n-1) FOR(j,0,m-1)
		{
			if(a[i][j]=='%')
			{
				x=i;
				y=j;
			}
			else if(a[i][j]=='&')
			{
				tx=i;
				ty=j;
			}
		}
		OL(SPFA(x,y,0,0,tx,ty));
	}

    return 0;
}

Measured memory_bytes: 29096