remaining at cell (1,1) and your objective is to complete at cell (n,m).    You can move to the adjoining cells to one side or down. All in all, assume you are remaining at cell (x,y). You can:    move right to the cell (x,y+1) — it costs x burles;

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter18: Deterministic Dynamic Programming
Section18.4: Resource-allocation Problems
Problem 3P
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Computer science. Correct answer will be upvoted else downvoted.

 

There is a n×m network. You are remaining at cell (1,1) and your objective is to complete at cell (n,m). 

 

You can move to the adjoining cells to one side or down. All in all, assume you are remaining at cell (x,y). You can: 

 

move right to the cell (x,y+1) — it costs x burles; 

 

drop down to the cell (x+1,y) — it costs y burles. 

 

Would you be able to arrive at cell (n,m) spending precisely k burles? 

 

Input 

 

The primary line contains the single integer t (1≤t≤100) — the number of experiments. 

 

The sole line of each experiment contains three integers n, m, and k (1≤n,m≤100; 0≤k≤104) — the extents of framework and the specific measure of cash you need to spend. 

 

Output 

 

For each experiment, on the off chance that you can arrive at cell (n,m) spending precisely k burles, print YES. In any case, print NO.

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