PE 1 - Board Games | LR - Board Games
Answer the next 3 questions based on the information given below.
Minesweeper is a game played on a 8 × 8 matrix. The columns are numbered A to H from left to right and rows are numbered 1 to 8 from top to bottom.
A cell in Bth column and 5th row is termed as B5.
There is a mine in one of cells. If a player clicks on any of the cells in the same column, row or any diagonal as the cell with mine the player will lose.
The player has to click on all the safe cells (Safe cells are those cells which are neither in the same column, row or any diagonal as the cell with mine).
The game is designed such that first two clicks by a player are always safe and mine is placed accordingly after that.
What is the difference between the maximum and minimum number of safe cells?
- A.
8
- B.
6
- C.
5
- D.
4
- E.
None of these
Solution
Ask Your Doubt
ReportIf the first 2 clicks are on A5 and G2, while the third click C3 is also safe. In how many cells mine can be placed now?
If the first 2 clicks are on D4 and H7, in how many ways can 2 different mines be placed each in a different cell?
Answer the next 3 questions based on the information given below.
The following questions relate to a game to be played by you and your friend. The game consists of a 4 × 4 board (see below) where each cell contains a positive integer. You and your friend make moves alternately. A move by any of the players consists of splitting the current board configuration into two equal halves and retaining one of them. In your moves you are allowed only to split the board vertically and decide to retain either the left half or the right half. Your friend, in his/her moves, can only split the board horizontally and can retain either the lower half or the upper half. After two moves by each player a single cell will remain which can no longer be split and the number in that cell will be treated as the gain (in rupees) of the person who has started the game. A sample game is shown below.
So, your gain is Re.1. With the same initial board configuration as above and assuming that you have to make the first move, answer the following questions.
- A.
(retain upper) (retain lower)
- B.
(retain lower) (retain upper)
- C.
(retain upper) (retain upper)
- D.
(retain lower) (retain lower)
With the initial board configuration as shown in the question, if both of you select your moves intelligently then at the end of the game, your gain will be?
- A.
Rs. 4
- B.
Rs. 3
- C.
Rs. 2
- D.
None of these
In the previous question, if your first move is (retain left), then whatever moves your friend may select, you can always force a gain of no less than?