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Black widow and Hawkeye have teamed up a...

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?
Charges on Black widow’s stones: 4 5 7 2 5 11 8 6
Charges on Hawkeye’s arrows: 4 10 12 x 10 5 3 6

A

10

B

7

C

1

D

9

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