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## Problem Description

In certain areas of the world, there are triangular fishies. Rar the Cat has recently caught a triangular fish of size *N* and he has noticed that he has numbers on it.

A triangle fish of size *N* has *N* rows of numbers. The *i ^{th}* row has

*i*numbers, numbered ascendingly from 1 to

*i*.

For example, a fish of size *5* has the following numbers:

1 1 2 1 2 3 1 2 3 4 1 2 3 4 5

Rar the Cat wants to know the sum of all the numbers on the triangular fish. However, as this number can be very big, he wants to know the remainder when that sum is divided by *M*. (Sum mod *M*)

## Input

The input will contain 2 integers, *N* followed by *M*, on a single line.

## Output

Print the sum of the numbers on the triangular fish with size *N*

## Limits

0 < *M* ≤ 5000000

## Subtasks

Subtask 1 (23 marks): 0 < *N* ≤ 5000

Subtask 2 (32 marks): 0 < *N* ≤ 5000000

Subtask 3 (45 marks): 0 < *N* ≤ 2000000000

Subtask 4 (0 marks): Sample Testcases

## Sample Input 1

5 100

## Sample Output 1

35

## Sample Input 2

5 7

## Sample Output 2

0

## Sample Input 3

5 10

## Sample Output 3

5

### Tags

### Subtasks and Limits

Subtask | Score | #TC | Time | Memory | Scoring |
---|---|---|---|---|---|

1 | 23 | 50 | 0.5s | 16MB | Minimum |

2 | 32 | 50 | 0.5s | 16MB | Minimum |

3 | 45 | 50 | 0.5s | 16MB | Minimum |

4 | 0 | 3 | 0.5s | 16MB | Minimum |

### Judge Compile Command

g++-8 ans.cpp -o trifish -Wall -Wshadow -static -O2 -lm -m64 -s -w -std=gnu++17 -fmax-errors=512