// ~~ icebear ~~
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
typedef pair<int, ii> iii;
template<class T>
bool minimize(T &a, const T &b) {
if (a > b) return a = b, true;
return false;
}
template<class T>
bool maximize(T &a, const T &b) {
if (a < b) return a = b, true;
return false;
}
#define FOR(i,a,b) for(int i=(a); i<=(b); ++i)
#define FORR(i,a,b) for(int i=(a); i>=(b); --i)
#define REP(i, n) for(int i=0; i<(n); ++i)
#define RED(i, n) for(int i=(n)-1; i>=0; --i)
#define MASK(i) (1LL << (i))
#define BIT(S, i) (((S) >> (i)) & 1)
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define task "icebear"
const int MOD = 1e9 + 7;
const int inf = 1e9 + 27092008;
const ll INF = 1e18 + 27092008;
const int dx[] = {0, +1};
const int dy[] = {+1, 0};
const int N = 2000 + 5;
int n, m, r[N], c[N];
ll dist[N][N][2][2]; // f(i, j, r, c): state of row and col
int a[N][N];
bool reach(int x, int y, int R, int C) {
return a[x][y] ^ R ^ C;
}
bool inside(int x, int y) {
return 1 <= x && x <= n && 1 <= y && y <= m;
}
void init(void) {
cin >> n >> m;
FOR(i, 1, n) FOR(j, 1, m) {
char x; cin >> x;
a[i][j] = x - '0';
}
FOR(i, 1, n) cin >> r[i];
FOR(j, 1, m) cin >> c[j];
}
void process(void) {
priority_queue<array<ll, 5>, vector<array<ll, 5>>, greater<array<ll, 5>>> Q;
memset(dist, 0x3f, sizeof dist);
REP(R, 2) REP(C, 2) if (reach(1, 1, R, C)) {
dist[1][1][R][C] = R * r[1] + C * c[1];
Q.push({dist[1][1][R][C], 1, 1, R, C});
}
while(!Q.empty()) {
auto T = Q.top(); Q.pop();
if (T[0] != dist[T[1]][T[2]][T[3]][T[4]]) continue;
if (T[1] == n && T[2] == m) {
cout << T[0];
exit(0);
}
REP(i, 2) {
int x = T[1] + dx[i];
int y = T[2] + dy[i];
if (!inside(x, y)) continue;
if (i == 0) {
REP(C, 2)
if (reach(x, y, T[3], C) && minimize(dist[x][y][T[3]][C], T[0] + C * c[y]))
Q.push({dist[x][y][T[3]][C], x, y, T[3], C});
} else {
REP(R, 2)
if (reach(x, y, R, T[4]) && minimize(dist[x][y][R][T[4]], T[0] + R * r[x]))
Q.push({dist[x][y][R][T[4]], x, y, R, T[4]});
}
}
}
cout << -1;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int tc = 1;
// cin >> tc;
while(tc--) {
init();
process();
}
return 0;
}
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