Cheburashka and Crocodile Gena

When Cheburashka and Crocodile Gena nothing to do, they play different interesting games. Today, Gena came up with a new game, which, in his opinion, will help Cheburashka to learn arithmetic. The rules of the game are very simple: Gena takes $n$ tablets, numbers them from $1$ to $n$ and writes on them any numbers. Then he will say two numbers $l$ and $r$, and Cheburashka must calculate the sum of all the numbers on the tablets numbered from $l$ to $r$.

So that Cheburashka will not learn all the possible answers, Gena sometimes changes some numbers on the other, namely, all the numbers in the interval $[l,r]$. He does not want to think much, so just writes on these tablets the numbers from $1$ to $r-l+1$ in order. Cheburashka is not very well in arithmetic, so he asks you to write a program that will help him in this problem.

Input

The first line contains the number of tablets $n(1\le n\le 10^6)$. The next line contains $n$ integers — the initial values on the tablets (all numbers do not exceed $10^9$). Next given the number of queries $m(1\le m\le 10^5)$. Then goes $m$ lines, the first number in a string is a type of the query $t(1\le t\le 2)$.

• If $t=1$, then given two integers $l$ and $r$. You must calculate the sum of all the numbers on the tablets numbered from $l$ to $r$;

• If $t=2$, then given two integers $l$ and $r$. It means that on the tablets with numbers from $l$ to $r$ now will be values from $1$ to $r-l+1$ correspondingly.

It is guaranteed that query segments are usually correct. The numbering of tablets starts from one.

Output

For each query with number $1$ print the sum of numbers on a segment $[l,r]$.

Examples