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):
    s=input()
    aa={}
    i=0
    j=0
    ans=0
    for k in s:
        if(k=="N"):
            try:
                x=aa[((i,j),(i,j-1))]
                ans+=1
            except:
                ans+=5
                aa[((i,j),(i,j-1))]=1
            j-=1
                
        elif(k=="E"):
            try:
                x=aa[((i+1,j),(i,j))]
                ans+=1
            except:
                ans+=5
                aa[((i+1,j),(i,j))]=1
            i+=1
        elif(k=="W"):
            try:
                x=aa[((i,j),(i-1,j))]
                ans+=1
            except:
                ans+=5
                aa[((i,j),(i-1,j))]=1
            i-=1
        else:
            try:
                x=aa[((i,j+1),(i,j))]
                ans+=1
            except:
                ans+=5
                aa[((i,j+1),(i,j))]=1
            j+=1
    print(ans)
    
            
        
         
    
