DAPC25-081.Bottle of New Port

The input consists of:

• One line with an integer $d$ ($0\leq d\leq 10^6$), the number of days your bottle of new port has remained open.

• One line with two integers $a$ and $o$ ($1\leq a, o\leq10^{12}$), the initial volume of alcohol in the bottle and the initial total volume of other liquids in the bottle, both in $\text{\textmu{}L}$.

• One line with two integers $\Delta_{a}$ and $\Delta_{o}$ ($0\leq\Delta_{a}, \Delta_{o}\leq10^{12}$), the evaporation rate of the alcohol and the evaporation rate of the other liquids in the bottle, both in $\text{\textmu{}L/day}$.

It is guaranteed that the bottle is not empty after leaving it open for $d$ days ($d \cdot \Delta_{a} < a$ or $d \cdot \Delta_{o} < o$).

Output the alcohol percentage after leaving the bottle open for $d$ days.

Your answer should have an absolute or relative error of at most $10^{-6}$.

Source: Delft Algorithm Programming Contest 2025 · Author: Thore Husfeldt · License: CC BY-SA 4.0 · Original: https://dapc.wisv.ch · Statement adapted for AlgoLens and shared under the same license.