Electronic Clock

Fedya, a young designer, wants to build an electronic clock. The clock shows only the hour and minute of the current time on four displays on its panel. Each display is an $n \times m$ rectangle, and each cell of it is an LED. Each digit is drawn on its display as a picture.

Each LED is either on or off. Switching an LED from one state to the other costs 1 joule. Keeping an LED in any state costs no energy, no matter how long it stays there. For example, suppose each display has two LEDs. The digit 1 has the first LED on and the second off, and the digit 2 has the second LED on and the first off. Then changing from 1 to 2 costs 2 joules. If both LEDs are off for the digit 3, changing from 2 to 3 costs 1 joule.

To choose the battery type, Fedya asks you to compute how many joules the panel of his clock uses in one day. The day runs from the change 00:00 to 00:01 through the change 23:59 to 00:00.

The first line contains two positive integers $n$ and $m$ ($1 \le n, m \le 100$). Ten blocks follow, one for each digit from 0 to 9. Each block has $n$ lines, and each line has $m$ characters. The character # means an LED that is on, and the character . means an LED that is off.

Print the number of joules the panel of the clock uses in one day.