# Problem 546: The Floor's Revenge
Define fk(n) = \$\\sum\_{i=0}\^{n}\$
fk(\$\\lfloor\\frac{i}{k}\\rfloor\$) where fk(0) = 1 and \$\\lfloor x
\\rfloor\$ denotes the floor function. For example, f5(10) = 18, f7(100)
= 1003, and f2(103) = 264830889564. Find \$(\\sum\_{k=2}\^{10}\$
fk(1014)\$)\$ mod (109+7).