Question

The final battle occurs in an interesting

manner. Scar knows he can't defeat Simba,

so he runs and hides in a cave. The cave

was built by Simba's ancestors, and Simba

must solve a final riddle to open the cave,

which is as follows.

Let there be a new chess piece known as

the king rook. This piece moves like a rook,

but like the King, it could move only one

square in the horizontal and vertical

directions. There is one more constraint,

that suppose in a move if the king rook

moved to the left or right square then whenever it is moved again it has to move

to the up or down square, and vice-versa.

Suppose there is a chessboard of the order

101xm. Simba chooses an integer k from

the set {1,2,3,4... 101xm} blindfolded.

Simba places these k king rooks on the

board( optimally). In every turn, Simba has

to move every king rook to one

square(explanation: moving each and every

king rook exactly once to a valid empty

square one by one will be considered as a

turn. Moving one king rook is not considered

as a turrn, moving every king rook is

considered ac a turn) If after a certain considered as a turn). If after a certain

number (possibly zero) of turns Simba is not

able to make a complete turn then he is

unsuccessful. If the turns continue forever

then Simba is said to be successful.

Suppose x is the value of the maximum

possible k from the set so that Simba is

always successful. And y is the number of

squares left after placing the x king rooks(i.e.

y=101xm-x). Now, Simba must play the

puzzle for each m from the following set

{101, 103, 105....117, 119}. Find the sum of

all y for all the different values of m? (ln

every turn Simba moves the king rooks in anSimba is able to crack the riddle and

banishes Scar from the kingdom. The other

lions are able to fight off the hyenas, letting

them live with the condition that the hyenas

must never come out of the graveyards.

Simba becomes the king, and peace is

restored in the Pride Lands.

options

1090

2090

1080

2100​

Answer 1

Answer:

1090

Step-by-step explanation:

is the correct answer for pride l