import sequtils,strutils,strscans

var
    xyz = stdin.readline.split.map(parseInt)
    S0, S1: string
    s0, s1, t0, t1, sd1, sdz, d1z, gd1, gdz, dsg,ans : int

discard scanf(stdin.readline,"$w $i",S0, t0)
discard scanf(stdin.readline,"$w $i",S1, t1)

s0 = S0[0].ord - 'A'.ord
s1 = S1[0].ord - 'A'.ord

sd1 = t0 - 1
sdz = xyz[s0] - t0
d1z = min(xyz)
gd1 = t1 - 1
gdz = xyz[s1] - t1

if s1 == s0:
    dsg = abs(t0 - t1)
else:
    dsg = int.high div 2
    
ans = dsg
sd1 = min(sdz + d1z + 1, sd1 + 1)
sdz = min(sdz + 1, d1z + sd1)
gd1 = min(gdz + d1z, gd1)
gdz = min(gdz, d1z + gd1)
ans = min(ans, sd1 + gd1)
ans = min(ans, sdz + gdz)
echo ans