Objective
In this challenge, we practice calculating the Pearson correlation coefficient. Check out the Tutorial tab for learning materials!
Task
Given two -element data sets, and , calculate the value of the Pearson correlation coefficient.
Input Format
The first line contains an integer, , denoting the size of data sets and .
The second line contains space-separated real numbers (scaled to at most one decimal place), defining data set .
The third line contains space-separated real numbers (scaled to at most one decimal place), defining data set .
Constraints
- , where is the value of data set .
- , where is the value of data set .
- Data set contains unique values.
- Data set contains unique values.
Output Format
Print the value of the Pearson correlation coefficient, rounded to a scale of decimal places.
Sample Input
10
10 9.8 8 7.8 7.7 7 6 5 4 2
200 44 32 24 22 17 15 12 8 4
Sample Output
0.612
Explanation
The mean and standard deviation of data set are:
The mean and standard deviation of data set are:
We use the following formula to calculate the Pearson correlation coefficient: