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At most one person goes after X. Y goes two days before X. We get X goes on either Thursday or Friday. Y goes on either Tuesday or Wednesday. 
W goes before U. U goes before Thursday. V does not goes on Thursday. W goes on Monday and U goes on Wednesday or Tuesday. V goes on Friday or Thursday. Case 2 will get discarded as we cannot place V. V goes on Friday. 
Therefore, the final arrangement is given below: 
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