Question

Black widow and Hawkeye have teamed up and are having a good time in beating up Loki's
army using their weapons. Black widow has n metallic charged spherical stones numbered
from 1 to n. The charge on the i-th stone is equal to Ci. When she selects an inner stone(stone
with index i, where 2≤ i ≤n−1) the charge of the chosen stone, the charge of the chosen stone
Ci changes to C′i=Ci+1+ Ci-1− Ci. This process is called Synchronization operation.
Hawkeye also has n charged arrows with charge Ti . Below given are the charges of the
stones and arrows. If there exists a sequence of some synchronization operations, which
transforms charges on Black widow’s stones equal to charges of corresponding Hawkeye’s
arrows (that is, changes Ci into Ti for all i), they can together cause a big blast and kill the
enemies. What is the value of x?

Answer 1

Answer:

1-n=2<c'i = 1

x=1,2,3

Explanation:

x=1,2,3

Answer 2

Answer:

1-n=2<c'i = 1

x=1,2,3

Explanation:

x=1,2,3

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