How to play:For each step in the game you:• examine the cards from right to left• if the current card is face down, you turn it face up and stop• if the current card is face up, you turn it face down and move to the next card• when you run out of cards, you stop.The images below show the effect of such a step:Before:After:Here are 7 cards lying face down:(You can flip them over by clicking on them.)Question:How many steps will it take, using the system above, to make all 7 cards face up? A. It will take 10 steps or less.B. It will take more than 10 steps but at most 100.C. It will take more than 100 steps but at most 1000.D. It will take more than 1000 steps.E. You can never reach the situation with all 7 cards facing up.It will take more than 100 steps but at most 1000.There are various way to see (or guess) that this is the correct answer. If you perform the firstfew steps you will see the following patterns: