P1994 Combustion of Organic Compounds

I originally planned to make it harder, but never mind.

Given an organic compound containing only $ \text{C, H, O} $ elements, output the coefficients of $ \mathrm{CO_2} $ and $ \mathrm{H_2O} $ in the balanced chemical equation for its reaction with oxygen.

One line, a string representing the organic compound.

Two numbers, which are the coefficients of $ \mathrm{CO_2} $ and $ \mathrm{H_2O} $, respectively.

Sample explanation: $$\mathrm{C_2H_5OH + 3 O_2 \xlongequal{\text{点燃}} 2 CO_2 + 3 H_2O} $$ --- For $100\%$ of the testdata: - The string length does not exceed $10$. - The coefficients of $ \mathrm{CO_2} $ and $ \mathrm{H_2O} $ to be found do not exceed $400$. - The given organic compound is valid and contains only $ \text{C, H, O} $ elements. Translated by ChatGPT 5