Leaderboard
Showing:
Reach the target
Easy Accuracy: 43.24% Submissions: 1227 Points: 2

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 integer T 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}.

to report an issue on this page.

Editorial

We strongly recommend solving this problem on your own before viewing its editorial. Do you still want to view the editorial?

Yes

All Submissions

My Submissions:

Login to access your submissions.

Reach the target

Output Window