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For this puzzle, if you are first there is a way to always win. You need to create multiples of 5 until you are going over the target number. To win, first you need to find the closest multiple of 5 under the target number. Then subtract this multiple of 5 from the target number and play it first. This means that after you create multiples of 5 you will win. Now, after subtracting the multiple of 5 from the target number and playing the result, when your opponent plays a number, play the number that makes your opponent’s move and your move add up to 5. If the target number is 26 the closest multiple under 26 is 25, 26-25=1. P1 plays 1, P2 plays 4, P1 plays 1, to add to 5, P2 plays 3, P1, to get to 5 plays 2,(the current total is 11) P2 plays 3, to get to 5 P1 plays 2, P2 plays 4, P1 plays 1, now it is 21, P2 plays 1, and P4 plays 4 and P1 wins.