Find the solution set of (Π _(r=1)¹⁰⁰(x-r)ʳ) sin ((π x)/(100)) log _e(x²-100x+901) ≥ 0; x ∈ [0,100]

Algebra question

Hard · from the problemset algebra collection

$$\text{Find the solution set of }\frac{\bigg(\prod_{r=1}^{100}(x-r)^r\bigg)\sin(\frac{\pi x}{100})}{\log_e(x^2-100x+901)}\geq0; \quad x\in[0,100]$$