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

using ll=long long;
#define int ll

#define rng(i,a,b) for(int i=int(a);i<int(b);i++)
#define rep(i,b) rng(i,0,b)
#define gnr(i,a,b) for(int i=int(b)-1;i>=int(a);i--)
#define per(i,b) gnr(i,0,b)
#define pb push_back
#define eb emplace_back
#define a first
#define b second
#define bg begin()
#define ed end()
#define all(x) x.bg,x.ed
#ifdef LOCAL
#define dmp(x) cerr<<__LINE__<<" "<<#x<<" "<<x<<endl
#else
#define dmp(x) void(0)
#endif

template<class t,class u> void chmax(t&a,u b){if(a<b)a=b;}
template<class t,class u> void chmin(t&a,u b){if(b<a)a=b;}

template<class t> using vc=vector<t>;
template<class t> using vvc=vc<vc<t>>;

using pi=pair<int,int>;
using vi=vc<int>;

template<class t,class u>
ostream& operator<<(ostream& os,const pair<t,u>& p){
	return os<<"{"<<p.a<<","<<p.b<<"}";
}

template<class t> ostream& operator<<(ostream& os,const vc<t>& v){
	os<<"{";
	for(auto e:v)os<<e<<",";
	return os<<"}";
}

#define mp make_pair
#define mt make_tuple
#define one(x) memset(x,-1,sizeof(x))
#define zero(x) memset(x,0,sizeof(x))
#ifdef LOCAL
void dmpr(ostream&os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
	os<<t<<" ";
	dmpr(os,args...);
}
#define dmp2(...) dmpr(cerr,"Line:",__LINE__,##__VA_ARGS__)
#else
#define dmp2(...) void(0)
#endif

using uint=unsigned;
using ull=unsigned long long;

template<int i,class T>
void print_tuple(ostream&,const T&){
}

template<int i,class T,class H,class ...Args>
void print_tuple(ostream&os,const T&t){
	if(i)os<<",";
	os<<get<i>(t);
	print_tuple<i+1,T,Args...>(os,t);
}

template<class ...Args>
ostream& operator<<(ostream&os,const tuple<Args...>&t){
	os<<"{";
	print_tuple<0,tuple<Args...>,Args...>(os,t);
	return os<<"}";
}

void print(ll x,int suc=1){
	cout<<x;
	if(suc==1)
		cout<<"\n";
	if(suc==2)
		cout<<" ";
}

ll read(){
	ll i;
	cin>>i;
	return i;
}

vi readvi(int n,int off=0){
	vi v(n);
	rep(i,n)v[i]=read()+off;
	return v;
}

template<class T>
void print(const vector<T>&v,int suc=1){
	rep(i,v.size())
		print(v[i],i==int(v.size())-1?suc:2);
}

string readString(){
	string s;
	cin>>s;
	return s;
}

template<class T>
T sq(const T& t){
	return t*t;
}

//#define CAPITAL
void yes(bool ex=true){
	#ifdef CAPITAL
	cout<<"YES"<<endl;
	#else
	cout<<"Yes"<<endl;
	#endif
	if(ex)exit(0);
}
void no(bool ex=true){
	#ifdef CAPITAL
	cout<<"NO"<<endl;
	#else
	cout<<"No"<<endl;
	#endif
	if(ex)exit(0);
}

constexpr ll ten(int n){
	return n==0?1:ten(n-1)*10;
}

const ll infLL=LLONG_MAX/3;

#ifdef int
const int inf=infLL;
#else
const int inf=INT_MAX/2-100;
#endif

int topbit(signed t){
	return t==0?-1:31-__builtin_clz(t);
}
int topbit(ll t){
	return t==0?-1:63-__builtin_clzll(t);
}
int botbit(signed a){
	return a==0?32:__builtin_ctz(a);
}
int botbit(ll a){
	return a==0?64:__builtin_ctzll(a);
}
int popcount(signed t){
	return __builtin_popcount(t);
}
int popcount(ll t){
	return __builtin_popcountll(t);
}
bool ispow2(int i){
	return i&&(i&-i)==i;
}
int mask(int i){
	return (int(1)<<i)-1;
}

bool inc(int a,int b,int c){
	return a<=b&&b<=c;
}

template<class t> void mkuni(vc<t>&v){
	sort(all(v));
	v.erase(unique(all(v)),v.ed);
}

ll rand_int(ll l, ll r) { //[l, r]
	#ifdef LOCAL
	static mt19937_64 gen;
	#else
    static random_device rd;
    static mt19937_64 gen(rd());
    #endif
    return uniform_int_distribution<ll>(l, r)(gen);
}

template<class d>
struct maxflow{
	struct E{
		int to,rev;
		d cap;
	};
	vvc<E> g;
	vi itr,lv;
	maxflow(int n):g(n),itr(n),lv(n){}
	void ae(int s,int t,d c){
		g[s].pb({t,(int)g[t].size(),c});
		g[t].pb({s,(int)g[s].size()-1,0});
	}
	void bfs(int s){
		fill(all(lv),-1);
		lv[s]=0;
		queue<int> q;
		q.push(s);
		while(q.size()){
			int v=q.front();q.pop();
			for(auto e:g[v])if(e.cap>0&&lv[e.to]==-1){
				lv[e.to]=lv[v]+1;
				q.push(e.to);
			}
		}
	}
	d dfs(int v,int t,d f){
		if(v==t)return f;
		d res=0;
		for(int&i=itr[v];i<(int)g[v].size();i++){
			E& e=g[v][i];
			if(e.cap>0&&lv[e.to]==lv[v]+1){
				d a=dfs(e.to,t,min(f,e.cap));
				if(a>0){
					e.cap-=a;
					g[e.to][e.rev].cap+=a;
					res+=a;
					f-=a;
					if(f<=0)break;
				}
			}
		}
		return res;
	}
	d calc(int s,int t){
		d f=0;
		while(1){
			bfs(s);
			if(lv[t]==-1)
				return f;
			fill(all(itr),0);
			f+=dfs(s,t,inf);
		}
	}
};

const int nmax=45;
//r,c,col,vh
int id[nmax][nmax][2][2];

signed main(){
	cin.tie(0);
	ios::sync_with_stdio(0);
	cout<<fixed<<setprecision(20);
	
	one(id);
	
	int n,m,a,b,c;cin>>n>>m>>a>>b>>c;
	vc<string> w(n);
	rep(i,n)cin>>w[i];
	
	vc<tuple<int,int,int>> es;
	int s=2;
	int ans=0;
	
	rep(i,n)rep(j,m){
		if(w[i][j]=='#'){
			int d=s++;
			int e=s++;
			id[i][j][0][0]=d;
			id[i][j][0][1]=e;
			
			es.eb(0,d,c);
			es.eb(d,1,a+b);
			es.eb(0,e,a+b);
			es.eb(e,1,c);
			es.eb(d,e,c);
			
			ans-=c;
		}else{
			int d=s++;
			int e=s++;
			id[i][j][0][0]=d;
			id[i][j][0][1]=e;
			int f=s++;
			int g=s++;
			id[i][j][1][0]=f;
			id[i][j][1][1]=g;
			
			es.eb(d,1,a+b);
			es.eb(0,e,a+b);
			es.eb(0,f,a+b);
			es.eb(g,1,a+b);
			
			es.eb(d,e,inf);
			es.eb(d,f,inf);
			es.eb(d,g,c);
			es.eb(f,e,c);
			es.eb(g,e,inf);
		}
	}
	
	maxflow<int> mf(s);
	for(auto e:es){
		int x,y,z;tie(x,y,z)=e;
		mf.ae(x,y,min(z*2,inf));
	}
	ans*=2;
	auto addleft=[&](int x,int y){
		mf.ae(x,y,b);
		mf.ae(y,x,b);
		mf.ae(x,1,b);
		mf.ae(y,1,b);
		ans-=b*2;
	};
	auto addright=[&](int x,int y){
		mf.ae(x,y,b);
		mf.ae(y,x,b);
		mf.ae(0,x,b);
		mf.ae(0,y,b);
		ans-=b*2;
	};
	
	rep(i,n-1)rep(j,m)rep(k,2){
		int x=id[i][j][k][0];
		int y=id[i+1][j][k][0];
		if(x!=-1&&y!=-1){
			if(k==0)addright(x,y);
			else addleft(x,y);
		}
	}
	rep(i,n)rep(j,m-1)rep(k,2){
		int x=id[i][j][k][1];
		int y=id[i][j+1][k][1];
		if(x!=-1&&y!=-1){
			if(k==0)addleft(x,y);
			else addright(x,y);
		}
	}
	
	ans+=mf.calc(0,1);
	
	cout<<ans/2<<endl;
}



Measured memory_bytes: 6616