The sum $\sum _{\mathrm{i}=0}^{\mathrm{m}} \left(\begin{array}{c}10\\ \mathrm{i}\end{array}\right)\left(\begin{array}{c}20\\ \mathrm{m}-\mathrm{i}\end{array}\right),\left[\text{ where },\left(\begin{array}{l}\mathrm{p}\\ \mathrm{q}\end{array}\right)=0\text{, if }\mathrm{p}<\mathrm{q}\right]$ is maximum, when m is

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