CSCI 499 Sp18 Set I

Start

2018-01-11 08:00 CET

CSCI 499 Sp18 Set I

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2018-01-17 23:00 CET
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Problem D
Sum Kind of Problem

For this problem you will compute various running sums of values for positive integers.

Input

The first line of input contains a single integer $P$, ($1 \le P \le 10\, 000$), which is the number of data sets that follow. Each data set should be processed identically and independently. Each data set consists of a single line of input. It contains the data set number, $K$, followed by an integer $N$, ($1 \le N \le 10\, 000$).

Output

For each data set there is one line of output. The single output line consists of the data set number, $K$, followed by a single space followed by three space separated integers $S_1$, $S_2$ and $S_3$ such that:

  • $S_1$ = The sum of the first $N$ positive integers.

  • $S_2$ = The sum of the first $N$ odd integers.

  • $S_3$ = The sum of the first $N$ even integers.

Sample Input 1 Sample Output 1
3
1 1
2 10
3 1001
1 1 1 2
2 55 100 110
3 501501 1002001 1003002