#Lutece0532. SagMa

SagMa

Migrated from Lutece 532 SagMa

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Description

沙耶定义了一种新函数:

$$\text{SagMa}(n,m)= \begin{cases} 1 & n=0\\ \sum_{i_n=1}^m\sum_{i_{n-1}=1}^{i_n}\cdots\sum_{i_2=1}^{i_3}\sum_{i_1=1}^{i_2} 1 & n>0,m>0 \end{cases} $$

举例:

SagMa(1,3)=i1=131=3\text{SagMa}(1,3)=\sum_{i_1=1}^31=3

$\text{SagMa}(2,3)=\sum_{i_2=1}^3\sum_{i_1=1}^{i_2}1=\sum_{i_1=1}^11+\sum_{i_1=1}^21+\sum_{i_1=1}^31=6$

$\text{SagMa}(3,3)=\sum_{i_3=1}^3\sum_{i_2=1}^{i_3}\sum_{i_1=1}^{i_2}1=\sum_{i_2=1}^{1}\sum_{i_1=1}^{i_2}1+\sum_{i_2=1}^{2}\sum_{i_1=1}^{i_2}1+\sum_{i_2=1}^{3}\sum_{i_1=1}^{i_2}1=1+3+6=10$

请求出SagMa(n,m)\text{SagMa}(n,m)

Input

第一行一个整数TT,表示有TT(T110T\leq 110)组测试数据。

接下来的TT行,每行两个整数nn(0n100\leq n\leq 10),mm(0<m100<m\leq 10),表示要求的是SagMa(n,m)\text{SagMa}(n,m)

Output

每组数据输出一行,表示SagMa(n,m)\text{SagMa}(n,m)的值。

Samples

3
1 3
2 3
3 3
3
6
10

Resources

Saya Mathematics@蒲公英的黄昏