The Romans have attacked again. This time they are much more than the Persians but Shapur is ready to defeat them. He says: "A lion is never afraid of a hundred sheep".

Nevertheless Shapur has to find weaknesses in the Roman army to defeat them. So he gives the army a weakness number.

In Shapur's opinion the weakness of an army is equal to the number of triplets i,j,k such that i \lt j \lt k and ai \gt aj \gt ak where ax is the power of man standing at position x. The Roman army has one special trait - powers of all the people in it are distinct.

Help Shapur find out how weak the Romans are.

The first line of input contains a single number n (3 \le n \le 106) - the number of men in Roman army. Next line contains n different positive integers ai (1 \le i \le n,1 \le ai \le 109) - powers of men in the Roman army.

A single integer number, the weakness of the Roman army.

Please, do not use %lld specificator to read or write 64-bit integers in C++. It is preffered to use cout (also you may use %I64d).