A11624 | A Creative Cutout

The first line contains one integer $m$ $(1<=m<=10^{12})$ .

In the first line print one integer representing .

A piece of paper with $5$ circles is shown in the following.

There are $5$ types of lattice points where the degree of beauty of each red point is $1+2+3+4+5=15$ , the degree of beauty of each orange point is $2+3+4+5=14$ , the degree of beauty of each green point is $4+5=9$ , the degree of beauty of each blue point is $5$ and the degree of beauty of each gray point is $0$ . Therefore, $f(5)=5·15+4·14+4·9+8·5=207$ .

Similarly, $f(1)=5,f(2)=23,f(3)=50,f(4)=102$ and consequently .