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1.Kg6 Qc6 2. Qc6 dc6 3. a4 f4 4. a5 f3 5. a6 f2 6. a7 f1Q 7. a8Q+ Qf8 8. Qa2 Kh8 9. Qb2+ Kg8 10. Qb3 11. Qc3+ Kg8 12. Qc4+ Kh8 13. Kd4+ Kg8 14. Qd7!
White to move and win.
Many chess books with puzzles, and probably Reinfeld had climbing the stairs puzzles.
Note that in 1910 in a newspaper article Troitzky wrote about the principles for chess composition.