With the improvement of your programming skill, you receive the invitation from government to design an ID card verification program. The government give you the rule of ID card below:
The ID number have special encode rule. The first word is uppercase English letter and remaining 9 words must be numbers, when applying the special encode rule, the first word will be encode to a number. (encoded by following table)
| A | B | C | D | E | F | G | H | J | K | L | M | N |
| 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 |
| P | Q | R | S | T | U | V | X | Y | W | Z | I | O |
| 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 |
The encoded ID number will be 11 digits in total and each of digit has a fixed weight from left to right(1 9 8 7 6 5 4 3 2 1 1 ). If the ID number is real, the ID number must follow the rule bellow:
"sum of each digit multiply with each weight can be divided by 10"
Take ID A135607214 for example, it can first be translate to 10135607214 and then use the special rule to compute the value 1*1 + 0*9 + 1*8 + 3*7 + 5*6 + 6*5 + 0*4 + 7*3 + 2*2 + 1*1 + 4*1 = 120. Since 120 can be divided by 10 then A135607214 is the real
Input the ID card number need to examine
Print out the result of verification. If the card number is true then print "Real", otherwise pint "Fake".(followed by a newline character at the end of the output string)