Orchestrating The Sheep". The objective of this game is to make the sheep line up. The level in the game is depicted by a line of length n, comprising of the characters '.' (void space) and '*' (sheep). In one action, you can move any sheep one square to the left or one square to the right, if the relating square exists and is vacant. The game finishes when the sheep are arranged

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You are playing the game "Orchestrating The Sheep". The objective of this game is to make the sheep line up. The level in the game is depicted by a line of length n, comprising of the characters '.' (void space) and '*' (sheep). In one action, you can move any sheep one square to the left or one square to the right, if the relating square exists and is vacant. The game finishes when the sheep are arranged, that is, there ought to be no vacant cells between any sheep. 

For instance, assuming n=6 and the level is depicted by the string "**.*..", the accompanying game situation is conceivable: 

the sheep at the 4 position moves to one side, the condition of the level: "**..*."; 

the sheep at the 2 position moves to one side, the condition of the level: "*.*.*."; 

the sheep at the 1 position moves to one side, the condition of the level: ".**.*."; 

the sheep at the 3 position moves to one side, the condition of the level: ".*.**."; 

the sheep at the 2 position moves to one side, the condition of the level: "..***."; 

the sheep are arranged and the game finishes. 

For a given level, decide the base number of moves you really wanted to make to finish the level. 

Input 

The primary line contains one integer t (1≤t≤104). Then, at that point, t experiments follow. 

The primary line of each experiment contains one integer n (1≤n≤106). 

The second line of each experiment contains a line of length n, comprising of the characters '.' (void space) and '*' (sheep) — the depiction of the level. 

It is ensured that the amount of n over all experiments doesn't surpass 106. 

Output 

For each experiment output the base number of moves you really wanted to make to finish the level.