Problem:
Score : 300 points

Problem Statement

Given are N integers A_1,\ldots,A_N.

Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).

Constraints

2 \leq N \leq 2\times 10^5

0 \leq A_i \leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1 \ldots A_N

Output

Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).

Sample Input 1

3
1 2 3

Sample Output 1

11

We have 1 \times 2 + 1 \times 3 + 2 \times 3 = 11.

Sample Input 2

4
141421356 17320508 22360679 244949

Sample Output 2

437235829

Solution in Kotlin (1.3.71) (judge verdict: Wrong Answer)

import kotlin.math.pow

fun main() {
    val P = 1000000007
    val PP = 2*P
    readLine()
    val list = readLine()!!.split(" ").map { it.toLong() }
    var mod = ((list.sum()%PP).toDouble().pow(2).toLong()%PP - list.map { it.toDouble().pow(2).toLong()%PP }.sum()%PP)/2
    if(mod<0)
        mod += PP
    mod %= P
    println(mod)
}