Problems > Tetrahedral Numbers

Tetrahedral Numbers

Difficulty: 1000 2000 ms 128 MB

math

Cannonballs stack in triangular layers: layer k holds k(k+1)/2 balls. Print the total in a stack of N layers.

Input: one integer N.

Output: N(N+1)(N+2)/6.

Constraints:

  • 1 ≤ N ≤ 109

Sample Tests

Input 1
3
Output 1
10
Input 2
1
Output 2
1

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