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Ebony Maw, being one of the faithful ser...

Ebony Maw, being one of the faithful servants of Thanos comes to Earth. During his search for the time stone, he gets himself engaged in a fight with the master of magic Dr. Strange and Wong. Maw is going to throw n number of spikes made of stone at them. Both the magicians can break 1, 3 or 4 spikes with their one magic spell. This attack by spikes being very easy to defend, both the magicians decide to compete while destroying the spikes. They decide to break the spikes turnwise with Strange starting first (i.e. 1st magician breaks either 1, 3, or 4 spikes and then 2nd magician breaks 1, 3, 4 in the remaining and then again 1st magician takes the turn). The last magician to destroy the spikes completely wins. Strange and Wong being very intelligent, play optimally. What is the maximum number of spikes (n `lt` 50) for which Wong always wins?

A

49

B

47

C

45

D

43

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Ebony Maw, being one of the faithful servants of Thanos comes to Earth. During his search for the time stone, he gets himself engaged in a fight with the master of magic Dr. Strange and Wong. Maw is going to throw n number of spikes made of stone at them. Both the magicians can break 1, 3 or 4 spikes with their one magic spell. This attack by spikes being very easy to defend, both the magicians decide to compete while destroying the spikes. They decide to break the spikes turnwise with Strange starting first (i.e. 1st magician breaks either 1, 3, or 4 spikes and then 2nd magician breaks 1, 3, 4 in the remaining and then again 1st magician takes the turn). The last magician to destroy the spikes completely wins. Strange and Wong being very intelligent, play optimally. If Maw throws 31 spikes at them, find out who ends the attack of the spikes (i.e. wins) and how many should he break in his first spell?

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