You are given a cluster a comprising of n integers. Let min(l,r) be the base worth among al,al+1,… ,ar and max(l,r) be the greatest worth among al,al+1,… ,ar. Your undertaking is to pick three positive (more prominent than 0) integers x, y and z with the end goal that: x+y+z=n;
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You are given a cluster a comprising of n integers.
Let min(l,r) be the base worth among al,al+1,… ,ar and max(l,r) be the greatest worth among al,al+1,… ,ar.
Your undertaking is to pick three positive (more prominent than 0) integers x, y and z with the end goal that:
x+y+z=n;
max(1,x)=min(x+1,x+y)=max(x+y+1,n).
All in all, you need to part the cluster an into three sequential non-void parts that cover the entire exhibit and the most extreme in the initial segment approaches the base in the subsequent part and equivalents the greatest in the third part (or decide it is difficult to track down such a parcel).
Among every such triple (parcels), you can pick any.
You need to answer t free experiments.
Input
The primary line of the input contains one integer t (1≤t≤2⋅104) — the number of experiments. Then, at that point, t experiments follow.
The primary line of the experiment contains one integer n (3≤n≤2⋅105) — the length of a.
The second line of the experiment contains n integers a1,a2,… ,an (1≤
It is ensured that the amount of n doesn't surpass 2⋅105 (∑n≤2⋅105).
Output
For each experiment, print the appropriate response: NO in the possibly line in case there is no such parcel of a that fulfills the conditions from the issue proclamation. In any case, print YES in the main line and three integers x, y and z (x+y+z=n) in the subsequent line.
In case there are a few replies, you can print any.
Step by step
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