# -*- coding: utf-8 -*-

n = int(input())


def getMax(bigBallCount):
    if bigBallCount == 0:
        return n
    baseNum = n - bigBallCount + 1
    return bigBallCount * baseNum + (baseNum - 1)


def getAns(minCount, maxCount):
    idx1 = minCount + int((maxCount - minCount) / 3)
    idx2 = minCount + int((maxCount - minCount) * 2 / 3)
    if maxCount - minCount <= 2:
        return max(getMax(minCount), getMax(idx1), getMax(idx2), getMax(maxCount))

    val1 = getMax(minCount)
    val2 = getMax(idx1)
    val3 = getMax(idx2)
    val4 = getMax(maxCount)

    maxVal = max(val1, val2, val3, val4)

    if val1 == maxVal:
        return getAns(minCount, idx1)
    if val2 == maxVal:
        return getAns(minCount, idx2)
    if val3 == maxVal:
        return getAns(idx1, maxCount)
    return getAns(idx2, maxCount)


ans = getAns(0, n - 1) % (1000000 + 7)
print(ans)