n = int(input())
R = []
L = []
U = []
D = []
lm = [float("INF")]*3
rm = [-float("INF")]*3
dm = [float("INF")]*3
um = [-float("INF")]*3
for i in range(n):
    x,y,d = input().split()
    x = int(x)
    y = int(y)
    if d == "U":
        rm[1] = max(rm[1],x)
        lm[1] = min(lm[1],x)
        dm[0] = min(dm[0],y)
        um[2] = max(um[2],y)
        U.append((x,y,d))
    elif d == "D":
        rm[1] = max(rm[1],x)
        lm[1] = min(lm[1],x)
        um[0] = max(um[0],y)
        dm[2] = min(dm[2],y)
        D.append((x,y,d))
    elif d == "L":
        um[1] = max(um[1],y)
        dm[1] = min(dm[1],y)
        rm[0] = max(rm[0],x)
        lm[2] = min(lm[2],x)
        L.append((x,y,d))
    else:
        um[1] = max(um[1],y)
        dm[1] = min(dm[1],y)
        lm[0] = min(lm[0],x)
        rm[2] = max(rm[2],x)
        R.append((x,y,d))
time = set()
def rc(t):
    if rm[2] == max(rm):
        return rm[2]+t
    if rm[1] == max(rm):
        if rm[2] == -float("INF"):
            return rm[1]
        else:
            time.add(rm[1]-rm[2])
            return max(rm[1],rm[2]+t)
    if rm[2] == -float("INF") and rm[1] == -float("INF"):
        return rm[0]-t
    if rm[2] == -float("INF"):
        time.add(rm[0]-rm[1])
        return max(rm[1],rm[0]-t)
    if rm[1] == -float("INF"):
        time.add((rm[0]-rm[2])/2)
        return max(rm[0]-t,rm[2]+t)
    if (rm[0]-rm[2])/2+rm[2] >= rm[1]:
        time.add((rm[0]-rm[2])/2)
        return max(rm[0]-t,rm[2]+t)
    time.add(rm[0]-rm[1])
    time.add(rm[1]-rm[2])
    return max(rm[0]-t,rm[2]+t,rm[1])
def lc(t):
    if lm[2] == min(lm):
        return lm[2]-t
    if lm[1] == min(lm):
        if lm[2] == float("INF"):
            return lm[1]
        else:
            time.add(-lm[1]+lm[2])
            return min(lm[1],lm[2]-t)
    if lm[2] == float("INF") and lm[1] == float("INF"):
        return lm[0]+t
    if lm[2] == float("INF"):
        time.add(-lm[0]+lm[1])
        return min(lm[1],lm[0]+t)
    if lm[1] == float("INF"):
        time.add((-lm[0]+lm[2])/2)
        return min(lm[0]+t,lm[2]-t)
    if lm[2]-(-lm[0]+lm[2])/2 <= lm[1]:
        time.add((-lm[0]+lm[2])/2)
        return min(lm[0]+t,lm[2]-t)
    time.add(-lm[0]+lm[1])
    time.add(-lm[1]+lm[2])
    return min(lm[0]+t,lm[2]-t,lm[1])
def uc(t):
    if um[2] == max(um):
        return um[2]+t
    if um[1] == max(um):
        if um[2] == -float("INF"):
            return um[1]
        else:
            time.add(um[1]-um[2])
            return max(um[1],um[2]+t)
    if um[2] == -float("INF") and um[1] == -float("INF"):
        return um[0]-t
    if um[2] == -float("INF"):
        time.add(um[0]-um[1])
        return max(um[1],um[0]-t)
    if um[1] == -float("INF"):
        time.add((um[0]-um[2])/2)
        return max(um[0]-t,um[2]+t)
    if (um[0]-um[2])/2+um[2] >= um[1]:
        time.add((um[0]-um[2])/2)
        return max(um[0]-t,um[2]+t)
    time.add(um[0]-um[1])
    time.add(um[1]-um[2])
    return max(um[0]-t,um[2]+t,um[1])
def dc(t):
    if dm[2] == min(dm):
        return dm[2]-t
    if dm[1] == min(dm):
        if dm[2] == float("INF"):
            return dm[1]
        else:
            time.add(-dm[1]+dm[2])
            return min(dm[1],dm[2]-t)
    if dm[2] == float("INF") and dm[1] == float("INF"):
        return dm[0]+t
    if dm[2] == float("INF"):
        time.add(-dm[0]+dm[1])
        return min(dm[1],dm[0]+t)
    if dm[1] == float("INF"):
        time.add((-dm[0]+dm[2])/2)
        return min(dm[0]+t,dm[2]-t)
    if dm[2]-(-dm[0]+dm[2])/2 <= dm[1]:
        time.add((-dm[0]+dm[2])/2)
        return min(dm[0]+t,dm[2]-t)
    time.add(-dm[0]+dm[1])
    time.add(-dm[1]+dm[2])
    return min(dm[0]+t,dm[2]-t,dm[1])
ans = (rc(0)-lc(0))*(uc(0)-dc(0))
for t in time:
    count = (rc(t)-lc(t))*(uc(t)-dc(t))
    ans = min(ans,count)
print(ans)

Measured memory_bytes: 22792