Given four integers A, B, C, D. A represents the initial position of the geek on the x-axis. In each step, geek can go to X+B or X-B if he is standing at X. The tasks is to check if it is possible for the geek to reach C exactly after D steps.
Input:
1. The first line of the input contains a single integerT denoting the number of test cases. The description of T test cases follows.
2. The first line of each test case contains four space-separated integers A, B, C, and D.
Output: For each test case, print "yes" if it is possible to reach C in exactly D steps. Otherwise, print "no" (without quotes).
Constraints:
1. 1 <= T <= 5 2. -10^9 <= A, C <= 10^9
3. 1 <= B <= 10^9
4. 1 <= D <= 15
Example:
Input: 3 2 3 8 4
-3 1 0 3 -3 1 1 3
Output: yes
yes
no
Explanation: Test case 1: one of the possible ways is {2, 5, 8, 11, 8}.
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Avoid using static/global variables in coding problems as your code is tested
against multiple test cases and these tend to retain their previous values.
Passing the Sample/Custom Test cases in coding problems does not guarantee the
correctness of code. On submission, your code is tested against multiple test cases
consisting of all possible corner cases and stress constraints.
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