If we define S = { a l 1 , a l 2 , ⋯ , a l n } as the k th subset for set E = { a 1 , a 2 , ⋯ , a 1 0 } , where k = i = 1 ∑ n 2 l i − 1 .
Then what is the 2 1 1 th subset for E ?
How to submit:
Sort the indices of the elements of S from smallest to largest and put them together. For example, if S = { a 1 , a 2 , a 3 } , then submit 1 2 3 , and when S = { a 1 , a 2 , a 1 0 } , then submit 1 2 1 0 .
Have a look at my problem set: SAT 1000 problems
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2 1 1 = 2 0 + 2 1 + 2 4 + 2 6 + 2 7 = 2 1 − 1 + 2 2 − 1 + 2 5 − 1 + 2 7 − 1 + 2 8 − 1 , so S = { a 1 , a 2 , a 5 , a 7 , a 8 } , which means the answer to submit is 1 2 5 7 8 .