The rate of the reaction between two reactants X and Y can be...

The rate of the reaction between two reactants X and Y can be expressed as $\mathrm{R}=\mathrm{k}[\mathrm{X}]^2[\mathrm{Y}]$. In an experiment, the initial rate of the reaction was found to be $\mathrm{R}_1$ when the initial concentrations of X and Y are \left[\mathrm{X}_0\right]$and \left[\mathrm{Y}_0\right]$. Another experiment was performed in which \left[\mathrm{X}_0\right]$was taken as$1 / 2 \left[\mathrm{X}}_{0}\right]. What should be \left[\mathrm{Y}}_{0}\right]$in this experiment to get the initial rate as$0.5 R_1$?$