Buggy python submission (verdict: Time Limit Exceeded):
import sys

from math import floor


def check(t):
    maxx, minx, maxy, miny = float(-1e9), float(1e9), float(-1e9), float(1e9)
    for x, y in dots['R']:
        maxx = max(maxx, x + t)
        minx = min(minx, x + t)
        maxy = max(maxy, y)
        miny = min(miny, y)
    for x, y in dots['L']:
        maxx = max(maxx, x - t)
        minx = min(minx, x - t)
        maxy = max(maxy, y)
        miny = min(miny, y)
    for x, y in dots['U']:
        maxx = max(maxx, x)
        minx = min(minx, x)
        maxy = max(maxy, y + t)
        miny = min(miny, y + t)
    for x, y in dots['D']:
        maxx = max(maxx, x)
        minx = min(minx, x)
        maxy = max(maxy, y - t)
        miny = min(miny, y - t)
    return (maxx - minx) * (maxy - miny)


n = int(input())
dots = {'R': set(), 'L': set(), 'U': set(), 'D': set()}
for line in sys.stdin:
    x, y, d = line.rstrip().split()
    x, y = int(x), int(y)
    dots[d].add((x, y))

l = 0.0
r = float(1 << 27)

while l <= r - 1:
    m1 = floor(l + r) / 2
    m2 = m1 + 0.5
    c1 = check(m1)
    c2 = check(m2)
    # print(l, r, m1, m2, c1, c2)
    if c1 > c2:
        l = m1
    else:
        r = m2

ans = float(1e18)
l = floor(l * 2) / 2
while l <= r + 1:
    ans = min(ans, check(l))
    l += 0.5
print(ans)


Fixed submission:
import sys

from math import floor


def check(t):
    maxx, minx, maxy, miny = ud_maxx, ud_minx, lr_maxy, lr_miny
    for x, y in dots['R']:
        maxx = max(maxx, x + t)
        minx = min(minx, x + t)
    for x, y in dots['L']:
        maxx = max(maxx, x - t)
        minx = min(minx, x - t)
    for x, y in dots['U']:
        maxy = max(maxy, y + t)
        miny = min(miny, y + t)
    for x, y in dots['D']:
        maxy = max(maxy, y - t)
        miny = min(miny, y - t)
    return (maxx - minx) * (maxy - miny)


n = int(input())
dots = {'R': set(), 'L': set(), 'U': set(), 'D': set()}
lr_maxy, lr_miny, ud_maxx, ud_minx = -1e9, 1e9, -1e9, 1e9
for line in sys.stdin:
    x, y, d = line.rstrip().split()
    x, y = int(x), int(y)
    dots[d].add((x, y))
    if d in 'LR':
        lr_maxy = max(lr_maxy, y)
        lr_miny = min(lr_miny, y)
    else:
        ud_maxx = max(ud_maxx, x)
        ud_minx = min(ud_minx, x)

l = 0.0
r = float(1 << 30)

while l < r - 1:
    m1 = l + floor((r - l) / 3 * 2) / 2
    m2 = l + floor((r - l) / 3 * 4) / 2
    c1 = check(m1)
    c2 = check(m2)
    # print(l, r, m1, m2, c1, c2)
    if c1 >= c2:
        l = m1
    else:
        r = m2

ans = float(1e17)
l = max(0.0, floor(l * 2 - 16) / 2)
while l <= r + 8:
    ans = min(ans, check(l))
    l += 0.5
print(ans)

Buggy python submission (verdict: Runtime Error):
import sys


def check(t):
    maxx, minx, maxy, miny = -1e9, 1e9, -1e9, 1e9
    for x, y in dots['R']:
        maxx = max(maxx, x + t)
        minx = min(minx, x + t)
        maxy = max(maxy, y)
        miny = min(miny, y)
    for x, y in dots['L']:
        maxx = max(maxx, x - t)
        minx = min(minx, x - t)
        maxy = max(maxy, y)
        miny = min(miny, y)
    for x, y in dots['U']:
        maxx = max(maxx, x)
        minx = min(minx, x)
        maxy = max(maxy, y + t)
        miny = min(miny, y + t)
    for x, y in dots['D']:
        maxx = max(maxx, x)
        minx = min(minx, x)
        maxy = max(maxy, y - t)
        miny = min(miny, y - t)
    return (maxx - minx) * (maxy - miny)


n = int(input())
dots = {'R': set(), 'L': set(), 'U': set(), 'D': set()}
for line in sys.stdin():
    x, y, d = line.rstrip().split()
    x, y = int(x), int(y)
    dots[d].add((x, y))

l = 0
r = 2 * (10 ** 8)

while l < r:
    m1 = (l + r) / 2
    m2 = m1 + 0.5
    c1 = check(m1)
    c2 = check(m2)
    if c1 > c2:
        l = m1
    else:
        r = m2

ans = 10 ** 18
l = int(l * 2) / 2
while l <= r:
    ans = min(ans, check(l))
    l += 0.5
print(ans)


Fixed submission:
import sys

from math import floor


def check(t):
    maxx, minx, maxy, miny = ud_maxx, ud_minx, lr_maxy, lr_miny
    for x, y in dots['R']:
        maxx = max(maxx, x + t)
        minx = min(minx, x + t)
    for x, y in dots['L']:
        maxx = max(maxx, x - t)
        minx = min(minx, x - t)
    for x, y in dots['U']:
        maxy = max(maxy, y + t)
        miny = min(miny, y + t)
    for x, y in dots['D']:
        maxy = max(maxy, y - t)
        miny = min(miny, y - t)
    return (maxx - minx) * (maxy - miny)


n = int(input())
dots = {'R': set(), 'L': set(), 'U': set(), 'D': set()}
lr_maxy, lr_miny, ud_maxx, ud_minx = -1e9, 1e9, -1e9, 1e9
for line in sys.stdin:
    x, y, d = line.rstrip().split()
    x, y = int(x), int(y)
    dots[d].add((x, y))
    if d in 'LR':
        lr_maxy = max(lr_maxy, y)
        lr_miny = min(lr_miny, y)
    else:
        ud_maxx = max(ud_maxx, x)
        ud_minx = min(ud_minx, x)

l = 0.0
r = float(1 << 30)

while l < r - 1:
    m1 = l + floor((r - l) / 3 * 2) / 2
    m2 = l + floor((r - l) / 3 * 4) / 2
    c1 = check(m1)
    c2 = check(m2)
    # print(l, r, m1, m2, c1, c2)
    if c1 >= c2:
        l = m1
    else:
        r = m2

ans = float(1e17)
l = max(0.0, floor(l * 2 - 16) / 2)
while l <= r + 8:
    ans = min(ans, check(l))
    l += 0.5
print(ans)