I find this position to be ingeneous. It has an "I wonder how many of these things I miss OTB" quality to it, as it appears likely to have occurred in a game.
It is a white to move and win, not a forced mate.
I should mention that my comment after black's 1st move is too strong, as he does have 1...Qxb2+ etc, but the principle holds. It is not an extremely difficult puzzle, but I find there are so many possibilities that simply swap material and only one that simply destroys black.
There is another possibility which is 1. Qf4 Rd6 2. Qxf6 a5 3. Rxd6 cxd6 4. Qd8+ Ka7.
Correct. Rd6 delays mate as well, and the pattern still works for white.
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