Problems > Stacking Hexagons

Stacking Hexagons

Difficulty: 1100 2000 ms 128 MB

math

Print the sum of the first K hexagonal numbers (1 + 6 + 15 + ...).

Input: one integer K.

Output: K(K+1)(4K−1)/6.

Constraints:

  • 1 ≤ K ≤ 106

Sample Tests

Input 1
3
Output 1
22
Input 2
1
Output 2
1

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