public void solve(int testNumber, InputReader in, PrintWriter out) {
int rowCount = in.readInt();
int columnCount = in.readInt();
char[][] table = in.readTable(4 * rowCount + 1, 4 * columnCount + 1);
int[][] type = new int[rowCount][columnCount];
for (int i = 0; i < rowCount; i++) {
for (int j = 0; j < columnCount; j++) {
for (char[][] domino : vertical) {
boolean valid = true;
for (int k = 0; k < 3; k++) {
for (int l = 0; l < 3; l++) {
if (table[4 * i + 1 + k][4 * j + 1 + l] != domino[k][l]) valid = false;
}
}
if (valid) type[i][j]++;
}
for (char[][] domino : horizontal) {
boolean valid = true;
for (int k = 0; k < 3; k++) {
for (int l = 0; l < 3; l++) {
if (table[4 * i + 1 + k][4 * j + 1 + l] != domino[k][l]) valid = false;
}
}
if (valid) type[i][j] += 2;
}
}
}
long[] answer = new long[columnCount + 1];
answer[0] = 1;
for (int i = 0; i < columnCount; i++) {
boolean isVerticalRow = true;
for (int j = 0; j < rowCount && isVerticalRow; j++) {
if (type[j][i] == 2) isVerticalRow = false;
}
if (isVerticalRow && rowCount % 2 == 0) answer[i + 1] = (answer[i + 1] + answer[i]) % MOD;
if (i == columnCount - 1) continue;
long[] count = new long[2];
long[] nextCount = new long[2];
count[0] = 1;
boolean isSecondRowVertical = true;
for (int j = 0; j < rowCount && isSecondRowVertical; j++) {
if (type[j][i + 1] == 2) isSecondRowVertical = false;
}
for (int j = 0; j < rowCount; j++) {
nextCount[0] = nextCount[1] = 0;
if (type[j][i] >= 2 && type[j][i + 1] >= 2) nextCount[0] = count[0];
nextCount[0] += count[1];
if (j == rowCount - 1) {
long[] temp = nextCount;
nextCount = count;
count = temp;
continue;
}
boolean firstVertical = (type[j][i] & 1) != 0 && (type[j + 1][i] & 1) != 0;
boolean secondVertical = (type[j][i + 1] & 1) != 0 && (type[j + 1][i + 1] & 1) != 0;
if (firstVertical && secondVertical) nextCount[1] += count[0];
nextCount[0] %= MOD;
nextCount[1] %= MOD;
long[] temp = nextCount;
nextCount = count;
count = temp;
}
if (isVerticalRow && isSecondRowVertical && rowCount % 2 == 0)
count[0] = (count[0] + MOD - 1) % MOD;
answer[i + 2] = (answer[i] * count[0]) % MOD;
}
out.println(answer[columnCount]);
}
