After that gruesome challenge, Professor McGonagall decides to test Harry with one of her favourite puzzles. In a party, Minerva and her friends decide to play a party game with cards. There are 20 cards arranged in a row on the table. Each card is showing a positive integer. On each player's turn, he is allowed to take either the left most or right most card. This is done until all the cards are taken. The winner is the player who has the greatest sum of num- bers on his/her cards. What should be Minerva’s first move so that she can win the game? The sequences are:` A rarr 2 11 13 8 12 5 6 8 9 21 10 7 15 17 18 4 16 18 19 1`
`B rarr12 18 13 4 8 16 17 5 3 19 21 1 6 11 12 18 14 15 6 9`

Options

A. 1 from A and 9 from B
B. 2 from A and 12 from B
C. 2 from A and 9 from B
D. she cannot win in any case

Explanation

To determine Minerva's first move in the card game to ensure her victory, we need to analyze the two sequences of cards provided. Let's break down the solution step by step.

### Step-by-Step Solution

**Step 1: Identify the sequences of cards.**
- Sequence A: 2, 11, 13, 8, 12, 5, 6, 8, 9, 21, 10, 7, 15, 17, 18, 4, 16, 18, 19, 1
- Sequence B: 12, 18, 13, 4, 8, 16, 17, 5, 3, 19, 21, 1, 6, 11, 12, 18, 14, 15, 6, 9

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