JCC25 Contest 1 P3 - Percentage Composition
Jason has forgotten how to calculate percentage composition, help him out! He is trying to calculate the percent composition for a molecule comprised of \(N\) unique elements.
The percent composition of a compound is how much of the total mass of the compound is formed by each element.
\(H_2O\) has 2 Hydrogens and 1 Oxygen. The mass of Hydrogen is approximately \(1\ grams/mol\) and the mass of Oxygen is approximately \(16\ grams/mol\). The total mass for \(H_2O\) is \(18\ grams/mol\)
The percentage composition for \(H_2O\) is approximately \(11\%\) Hydrogen and \(89\%\) Oxygen
Constraints
Subtask 1 [40%]
\(N = 2\)
Subtask 2 [60%]
\(2 \le N \le 50\)
Input Specification
The first line will contain \(N\)
The next \(N\) lines will contain one integer per line, the amount of an element \(a_i\)
The next \(N\) lines will contain one integer per line, the mass of the element \(a_i\)
Output Specification
Output \(N\) space seperated integers representing the percent composition of each element \(a_i\).
All percentages will be integers so do not worry about float rounding!
Be careful about integer truncation!
Sample Input
2
16
8
10
5
Sample Output
80 20
Explanation for Sample Output
There are 16 of element 1 and 8 of element 2
Each element 1 weighs 10 and each element 2 weighs 5
The total compound weighs \(16*10 + 8*5 = 200\)
All of element 1 weighs \(16*10=160\) comprising \(\frac{160}{200}*100\%=80\%\)
All of element 2 weighs \(8*5=40\) comprising \(\frac{40}{200}*100\%=20\%\)
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