Skier rides on a snowy field. Its movements can be described by a string of characters 'S', 'N', 'W', 'E' (which correspond to 1 meter movement in the south, north, west or east direction respectively).

It is known that if he moves along a previously unvisited segment of a path (i.e. this segment of the path is visited the first time), then the time of such movement is 5 seconds. If he rolls along previously visited segment of a path (i.e., this segment of the path has been covered by his path before), then it takes 1 second.

Find the skier's time to roll all the path.

Input

The first line contains an integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then t test cases follow.

Each set is given by one nonempty string of the characters 'S', 'N', 'W', 'E'. The length of the string does not exceed 10^5 characters.

The sum of the lengths of t given lines over all test cases in the input does not exceed 10^5.

Output

For each test case, print the desired path time in seconds.

Example

Input


5
NNN
NS
WWEN
WWEE
NWNWS


Output


15
6
16
12
25
t = int(input()) 
for _ in range (t):  
    
    x,y = 0,0 
    time = 0 
    path = input() 
    covered = dict()
    
    covered[(0,0)] = [False]*4 
    
    for p in path: 
        
        if p == "N": 
            newX = x 
            newY = y+1 
        elif p == "S": 
            newX = x 
            newY = y-1 
        elif p == "E": 
            newX = x+1 
            newY = y 
        else: 
            newX = x-1 
            newY = y 
        
        if (newX,newY) not in covered: 
            covered[(newX,newY)] = [False]*4
            
        seen = False
        if p == "N": 
            if covered[(newX,newY)][1]: 
                seen = True 
            else: 
                covered[(newX,newY)][1] = True 
                covered[(x,y)][0] = True 
        if p == "S": 
            if covered[(newX,newY)][0]: 
                seen = True 
            else: 
                covered[(newX,newY)][0] = True 
                covered[(x,y)][1] = True
        if p == "E": 
            if covered[(newX,newY)][3]: 
                seen = True
            else: 
                covered[(newX,newY)][3] = True 
                covered[(x,y)][2] = True
        if p == "W":
            if covered[(newX,newY)][2]: 
                seen = True 
            else: 
                covered[(newX,newY)][2] = True 
                covered[(x,y)][3] = True 
        
        if seen: 
            time += 1 
        else: 
            time += 5 

        x,y = newX,newY
    print(time)
            
            