HARRY, Tom and I were challenged to find four perfect cubes, one consisting of one digit, one of two digits, one of three digits and one of four digits, such that the ten digits used included nine different digits. We were allowed to regard 0 as a valid solution for the one-digit cube.
Our solutions were all different. You might say that we each found two solutions, though each of us simply found an alternative for one of our numbers, the other three numbers being common to both solutions. The three numbers common to both my solutions did not appear in any of Harry鈥檚 or Tom鈥檚 solutions.
Please list those three numbers in ascending order.
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A 拢10 book token will be awarded to the sender of the first correct answer opened on Thursday 15 February. The Editor鈥檚 decision is final. Please send entries to Enigma 857, New 女生小视频, King鈥檚 Reach Tower, Stamford Street, London SE99 0BB. The winner of Enigma 850 was David Owen of St-Arnoult-en-Yvelines, France.
Answer to Enigma 850
Swapping the letters
1 Yes, 2 No, 3 Yes, 4 No.
