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We provide an explicit formula for all primary genus-zero 
$r$-spin invariants. Our formula is piecewise polynomial in the monodromies at each marked point and in 
$r$. To deduce the structure of these invariants, we use a tropical realisation of the corresponding cohomological field theories. We observe that the collection of all Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) relations is equivalent to the relations deduced from the fact that genus-zero tropical CohFT cycles are balanced.
