event that the thing was a Pink Slip, the mission is finished, and you won't play additional races. In any case, In the event that a≤v, the likelihood of the thing drawn becomes 0 and the thing is as of now
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In the event that the thing was a Pink Slip, the mission is finished, and you won't play additional races.
In any case,
In the event that a≤v, the likelihood of the thing drawn becomes 0 and the thing is as of now not a legitimate thing for every one of the further draws, decreasing x by 1. In addition, the decreased likelihood an is disseminated similarly among the other excess substantial things.
In the event that a>v, the likelihood of the thing drawn diminishes by v and the decreased likelihood is conveyed similarly among the other substantial things.
Input :The primary line of input contains a solitary integer t (1≤t≤10) — the number of experiments. The first and the main line of each experiment contains four genuine numbers c, m, p and v (0<c,m,p<1, c+m+p=1, 0.1≤v≤0.9).
Also, it is ensured that every one of c, m, p and v have all things considered 4 decimal spots.
Output :For each experiment, output a solitary line containing a solitary genuine number — the normal number of races that you should play to draw a Pink Slip. Your answer is considered right if its outright or relative mistake doesn't surpass 10−6. Officially, let your answer be a, and the jury's answer be b. Your answer is acknowledged whether and provided that |a−b|max(1,|b|)≤10−6.
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