In nuclear physics, the half-life describes the rate at which elements undergo radioactive decay. More precisely, it is the time required for an element to be reduced in half.
Let's take an isotope of Radium (Ra) called radium-223. Its half-life is about 12 days: this means that every 12 days, the number of atoms reduces in half.
Your program should:
- read the initial and the final quantity of atoms from the input.
- count how many complete half-life periods it would take for the initial number of atoms of radium-223 to become equal to or go below the final quantity. Note that the number of half-life periods should be an integer, not a float!
- multiply the number of half-life periods by 12 to convert the number of half-life periods to days.
- output the resulting number of days it takes for the initial number of atoms to go below the final number.
For example, the initial number of atoms is 4, and the resulting quantity is 3. After the first half-life period, the initial number will reduce to 2 atoms below 3. Then, we multiply the number of half-life periods that have passed (1) by the number of days every half-life period takes (12). The output will be 12.
The input format:
The first line: the initial quantity of atoms (from 2 to 1,000,000).
The second line: the final quantity of atoms.
The output format:
The number of days it would take for radium-223 to go from the initial quantity of atoms to or below the final quantity of atoms.
An example:
The initial quantity is 8; the final quantity is 3. Your program output should be number 24.
