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
from collections import defaultdict
for _ in range(int(input())):
    pos=[0,0]
    e=defaultdict(int)
    w=defaultdict(int)
    n=defaultdict(int)
    s=defaultdict(int)
    sum=0
    for i in input():
        pos1=pos[:]
        if(i=="N"):
            pos[1]+=1
        elif(i=="S"):
            pos[1]-=1
        elif(i=="E"):
            pos[0]+=1
        else:
            pos[0]-=1
        x=(pos[0]+pos1[0])/2
        y=(pos[1]+pos1[1])/2
        if x>=0 and y>=0:
            if (x,y) in e:
                sum+=1
            else:
                sum+=5
                e[x,y]=0
        if x>=0 and y<0:
            if (x,y) in w:
                sum+=1
            else:
                sum+=5
                w[x,y]=0
        if x<0 and y<0:
            if (x,y) in n:
                sum+=1
            else:
                sum+=5
                n[x,y]=0
        if x<0 and y>=0:
            if (x,y) in s:
                sum+=1
            else:
                sum+=5
                s[x,y]=0

 
    print(sum)