Canadian Computing Competition: 2007 Stage 1, Junior #3

Deal or No Deal™ is a game show on NBC. You can click here to play it (requires Flash).

In the CCC version of the game, there are ~10~ possible dollar amounts: ~$100~, ~$500~, ~$1\,000~, ~$5\,000~, ~$10\,000~, ~$25\,000~, ~$50\,000~, ~$100\,000~, ~$500\,000~, ~$1\,000\,000~ sealed in imaginary briefcases. These dollar amounts are numbered ~1 - 10~ (i.e. ~1 \to $100~, ~2 \to $500~, ~3 \to $1\,000~, ..., ~10 \to $1\,000\,000~). Before the game starts the contestant will have chosen one of the briefcases as his/hers to possibly keep. During the game, some of the ten possible dollar amounts have been eliminated from the game because the contestant has selected some of the other briefcases and revealed the amounts inside.

At some point, the contestant will stop opening briefcases, and a "Banker" will offer the contestant cash in exchange for what might be contained in his/her chosen briefcase. Then the contestant is asked: "Deal or No Deal?".

Write a program that helps a player decide if he/she should choose "deal" or "no deal", by calculating the average of the remaining amounts (i.e., all unopened briefcases, including his/her "own" briefcase), and comparing that value to the "Banker's" offer. If the offer is higher than the average, then the player should "deal". Otherwise, the player should say "no deal".

Input Specification

The user must input a number ~n~ (~1 \le n < 10~) which indicates how many cases have been opened so far, followed by a list of integers between ~1~ and ~10~ representing the values in the game that have been eliminated, followed by the "Banker's" offer. For example: 3 2 5 10 300 indicates that briefcases containing ~$500~, ~$10\,000~, and ~$1\,000\,000~ have been eliminated and the Banker's offer is ~$300~. You may assume that no duplicate case numbers are entered for the eliminated values, and you may assume that the "Banker's" offer is an integer greater than ~10~.

Output Specification

The program will print out one of two statements: deal or no deal.

Sample Input 1

2
3
8
198000

Sample Output 1

no deal

Sample Input 2

8
10
9
8
7
6
5
4
3
400

Sample Output 2

deal