Problem 1076. -- An Easy Task

HDU_1076: An Easy Task

Time Limit: 1000 MS  Memory Limit: 32 MB   64bit IO Format: %I64d
Submitted: 351  Accepted: 212
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Description

Ignatius was born in a leap year, so he want to know when he could hold his birthday party. Can you tell him?

Given a positive integers Y which indicate the start year, and a positive integer N, your task is to tell the Nth leap year from year Y.

Note: if year Y is a leap year, then the 1st leap year is year Y.

Input

The input contains several test cases. The first line of the input is a single integer T which is the number of test cases. T test cases follow.
Each test case contains two positive integers Y and N(1<=N<=10000).

Output

For each test case, you should output the Nth leap year from year Y.

Sample Input

3
2005 25
1855 12
2004 10000

Sample Output

2108
1904
43236


HINT


We call year Y a leap year only if (Y%4==0 && Y%100!=0) or Y%400==0.

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