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 i in range (t):
    c=0
    n = list(input())
    v={}
    x=y=0
    for h in range(len(n)):
        if n[h] == 'N':
            s=str(x)+","+str(y)+","+str(x)+","+str(y+1)
            s1=str(x)+","+str(y+1)+","+str(x)+","+str(y)
            if s in v or s1 in v:
                c+=1
            else:
                c+=5
                v[str(x)+","+str(y)+","+str(x)+","+str(y+1)]=42
            y+=1
        elif n[h] == 'S':
            s=str(x)+","+str(y)+","+str(x)+","+str(y-1)
            s1=str(x)+","+str(y-1)+","+str(x)+","+str(y)
            if s in v or s1 in v:
                c+=1
            else:
                c+=5
                v[str(x)+","+str(y)+","+str(x)+","+str(y-1)]=42
            y-=1
        elif n[h] == 'W':
            s=str(x)+","+str(y)+","+str(x-1)+","+str(y)
            s1=str(x-1)+","+str(y)+","+str(x)+","+str(y)
            if s in v or s1 in v:
                c+=1
            else:
                c+=5
                v[str(x)+","+str(y)+","+str(x-1)+","+str(y)]=42
            x-=1
        elif n[h] == 'E':
            s=str(x)+","+str(y)+","+str(x+1)+","+str(y)
            s1=str(x+1)+","+str(y)+","+str(x)+","+str(y)
            if s in v or s1 in v:
                c+=1
            else:
                c+=5
                v[str(x)+","+str(y)+","+str(x+1)+","+str(y)]=42
            x+=1
    print(c)