Problem:
 Score: 600 points    Problem Statement  There is a grass field that stretches infinitely.  In this field, there is a negligibly small cow. Let (x, y) denote the point that is x\ \mathrm{cm} south and y\ \mathrm{cm} east of the point where the cow stands now. The cow itself is standing at (0, 0) .  There are also N north-south lines and M east-west lines drawn on the field. The i -th north-south line is the segment connecting the points (A_i, C_i) and (B_i, C_i) , and the j -th east-west line is the segment connecting the points (D_j, E_j) and (D_j, F_j) .  What is the area of the region the cow can reach when it can move around as long as it does not cross the segments (including the endpoints)? If this area is infinite, print INF instead.      Constraints   All values in input are integers between -10^9 and 10^9 (inclusive).  1 \leq N, M \leq 1000  A_i < B_i\ (1 \leq i \leq N)  E_j < F_j\ (1 \leq j \leq M)  The point (0, 0) does not lie on any of the given segments.         Input  Input is given from Standard Input in the following format:  N  M  A_1  B_1  C_1  :  A_N  B_N  C_N  D_1  E_1  F_1  :  D_M  E_M  F_M       Output  If the area of the region the cow can reach is infinite, print INF ; otherwise, print an integer representing the area in \mathrm{cm^2} .  (Under the constraints, it can be proved that the area of the region is always an integer if it is not infinite.)        Sample Input 1 5 6
1 2 0
0 1 1
0 2 2
-3 4 -1
-2 6 3
1 0 1
0 1 2
2 0 2
-1 -4 5
3 -2 4
1 2 4      Sample Output 1 13  The area of the region the cow can reach is 13\ \mathrm{cm^2} .        Sample Input 2 6 1
-3 -1 -2
-3 -1 1
-2 -1 2
1 4 -2
1 4 -1
1 4 1
3 1 4      Sample Output 2 INF  The area of the region the cow can reach is infinite.

Solution (Python):
import sys
import numpy as np

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

INF = 10**9 + 1

def precompute(N, M, data):
    data = data.reshape(-1, 3)
    A, B, C = data[:N].T
    D, E, F = data[N:].T
    X = np.unique(np.concatenate([A, B, D, [0, -INF, INF]]))
    Y = np.unique(np.concatenate([C, E, F, [0, -INF, INF]]))
    A = np.searchsorted(X, A)
    B = np.searchsorted(X, B)
    D = np.searchsorted(X, D)
    C = np.searchsorted(Y, C)
    E = np.searchsorted(Y, E)
    F = np.searchsorted(Y, F)
    return A, B, C, D, E, F, X, Y

def solve(A, B, C, D, E, F, X, Y):
    H, W = len(X), len(Y)
    N = H * W
    DX = X[1:] - X[:-1]
    DY = Y[1:] - Y[:-1]

    def set_ng(A, B, C, D, E, F, H, W):
        ng = np.zeros((H * W, 4), np.bool_)

        for i in range(len(A)):
            for x in range(A[i], B[i]):
                v = x * W + C[i]
                ng[v][1] = 1
                ng[v - 1][0] = 1

        for i in range(len(D)):
            for y in range(E[i], F[i]):
                v = D[i] * W + y
                ng[v][3] = 1
                ng[v - W][2] = 1
        return ng

    ng = set_ng(A, B, C, D, E, F, H, W)
    x0, y0 = np.searchsorted(X, 0), np.searchsorted(Y, 0)
    v0 = x0 * W + y0
    visited = np.zeros(N, np.bool_)
    visited[v0] = 1
    stack = np.empty(N, np.int32)
    p = 0
    ret = 0

    def area(x):
        x, y = divmod(x, W)
        return DX[x] * DY[y]

    def push(x):
        nonlocal p, ret
        stack[p] = x
        visited[x] = 1
        ret += area(x)
        p += 1

    def pop():
        nonlocal p
        p -= 1
        return stack[p]

    push(v0)
    move = (1, -1, W, -W)
    while p:
        v = pop()
        for i in range(4):
            if ng[v][i]:
                continue
            w = v + move[i]
            if visited[w]:
                continue
            x, y = divmod(w, W)
            if x == 0 or x == H - 1 or y == 0 or y == W - 1:
                return 0
            push(w)
    return ret

def cc_export():
    from numba.pycc import CC
    cc = CC('my_module')
    signature = '(i8[::1],i8[::1],i8[::1],i8[::1],i8[::1],i8[::1],i8[::1],i8[::1])'
    cc.export('solve', signature)(solve)
    cc.compile()

if sys.argv[-1] == 'ONLINE_JUDGE':
    cc_export()
    exit()

from my_module import solve

N, M = map(int, readline().split())
data = np.int64(read().split())

x = solve(*precompute(N, M, data))
if x == 0:
    print('INF')
else:
    print(x)

Solution (Python):
import sys
import numpy as np

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

INF = 10**9 + 1

def precompute(N, M, data):
    data = data.reshape(-1, 3)
    A, B, C = data[:N].T
    D, E, F = data[N:].T
    X = np.unique(np.concatenate([A, B, D, [0, -INF, INF]]))
    Y = np.unique(np.concatenate([C, E, F, [0, -INF, INF]]))
    A = np.searchsorted(X, A)
    B = np.searchsorted(X, B)
    D = np.searchsorted(X, D)
    C = np.searchsorted(Y, C)
    E = np.searchsorted(Y, E)
    F = np.searchsorted(Y, F)
    return A, B, C, D, E, F, X, Y

def solve(A, B, C, D, E, F, X, Y):
    H, W = len(X), len(Y)
    N = H * W
    DX = X[1:] - X[:-1]
    DY = Y[1:] - Y[:-1]

    def set_ng(A, B, C, D, E, F, H, W):
        ng = np.zeros((H * W, 4), np.bool_)

        for i in range(len(A)):
            for x in range(A[i], B[i]):
                v = x * W + C[i]
                ng[v][1] = 1
                ng[v - 1][0] = 1

        for i in range(len(D)):
            for y in range(E[i], F[i]):
                v = D[i] * W + y
                ng[v][3] = 1
                ng[v - W][2] = 1
        return ng

    ng = set_ng(A, B, C, D, E, F, H, W)
    x0, y0 = np.searchsorted(X, 0), np.searchsorted(Y, 0)
    v0 = x0 * W + y0
    visited = np.zeros(N, np.bool_)
    visited[v0] = 1
    stack = np.empty(N, np.int32)
    p = 0
    ret = 0

    def area(x):
        x, y = divmod(x, W)
        return np.int64(DX[x]) * np.int64(DY[y])

    def push(x):
        nonlocal p, ret
        stack[p] = x
        visited[x] = 1
        ret += area(x)
        p += 1

    def pop():
        nonlocal p
        p -= 1
        return stack[p]

    push(v0)
    move = (1, -1, W, -W)
    while p:
        v = pop()
        for i in range(4):
            if ng[v][i]:
                continue
            w = v + move[i]
            if visited[w]:
                continue
            x, y = divmod(w, W)
            if x == 0 or x == H - 1 or y == 0 or y == W - 1:
                return 0
            push(w)
    return ret

def cc_export():
    from numba.pycc import CC
    cc = CC('my_module')
    signature = '(i8[::1],i8[::1],i8[::1],i8[::1],i8[::1],i8[::1],i8[::1],i8[::1])'
    cc.export('solve', signature)(solve)
    cc.compile()

if sys.argv[-1] == 'ONLINE_JUDGE':
    cc_export()
    exit()

from my_module import solve

N, M = map(int, readline().split())
data = np.int64(read().split())

x = solve(*precompute(N, M, data))
if x == 0:
    print('INF')
else:
    print(x)

Solution (Python):
import sys
import numpy as np

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

INF = 10**9 + 1

def precompute(N, M, data):
    data = data.reshape(-1, 3)
    A, B, C = data[:N].T
    D, E, F = data[N:].T
    X = np.unique(np.concatenate([A, B, D, [0, -INF, INF]]))
    Y = np.unique(np.concatenate([C, E, F, [0, -INF, INF]]))
    A = np.searchsorted(X, A)
    B = np.searchsorted(X, B)
    D = np.searchsorted(X, D)
    C = np.searchsorted(Y, C)
    E = np.searchsorted(Y, E)
    F = np.searchsorted(Y, F)
    return A, B, C, D, E, F, X, Y

def solve(A, B, C, D, E, F, X, Y):
    H, W = len(X), len(Y)
    N = H * W
    DX = X[1:] - X[:-1]
    DY = Y[1:] - Y[:-1]

    def set_ng(A, B, C, D, E, F, H, W):
        ng = np.zeros((H * W, 4), np.bool_)

        for i in range(len(A)):
            for x in range(A[i], B[i]):
                v = x * W + C[i]
                ng[v][1] = 1
                ng[v - 1][0] = 1

        for i in range(len(D)):
            for y in range(E[i], F[i]):
                v = D[i] * W + y
                ng[v][3] = 1
                ng[v - W][2] = 1
        return ng

    ng = set_ng(A, B, C, D, E, F, H, W)
    x0, y0 = np.searchsorted(X, 0), np.searchsorted(Y, 0)
    v0 = x0 * W + y0
    visited = np.zeros(N, np.bool_)
    visited[v0] = 1
    stack = np.empty(N, np.int32)
    p = 0
    ret = 0

    def area(x):
        x, y = divmod(x, W)
        return DX[x] * DY[y]

    def push(x):
        nonlocal p, ret
        stack[p] = x
        visited[x] = 1
        ret += area(x)
        p += 1

    def pop():
        nonlocal p
        p -= 1
        return stack[p]

    push(v0)
    move = (1, -1, W, -W)
    while p:
        v = pop()
        for i in range(4):
            if ng[v][i]:
                continue
            w = v + move[i]
            if visited[w]:
                continue
            x, y = divmod(w, W)
            if x == 0 or x == H - 1 or y == 0 or y == W - 1:
                return 0
            push(w)
    return ret

def cc_export():
    from numba.pycc import CC
    cc = CC('my_module')
    signature = '(i8[::1],i8[::1],i8[::1],i8[::1],i8[::1],i8[::1],i8[::1],i8[::1])'
    cc.export('solve', signature)(solve)
    cc.compile()

if sys.argv[-1] == 'ONLINE_JUDGE':
    cc_export()
    exit()

from my_module import solve

N, M = map(int, readline().split())
data = np.int64(read().split())

x = solve(*precompute(N, M, data))
if x == 0:
    print('INF')
else:
    print(x)

Solution (Python):
import sys
import numpy as np
from numba import njit, types
from numba.typed import Dict

n, m, *abcdef = map(int, sys.stdin.buffer.read().split())

n3 = n * 3
aaa = abcdef[0:n3:3]
bbb = abcdef[1:n3:3]
ccc = abcdef[2:n3:3]
ddd = abcdef[n3 + 0::3]
eee = abcdef[n3 + 1::3]
fff = abcdef[n3 + 2::3]
x_list = {0}
x_list.update(ccc)
x_list.update(eee)
x_list.update(fff)
y_list = {0}
y_list.update(aaa)
y_list.update(bbb)
y_list.update(ddd)


@njit
def create_dict(x_list):
    d = Dict.empty(key_type=types.int64, value_type=types.int64)
    for i in range(len(x_list)):
        d[x_list[i]] = i + 1
    return d


x_list = np.array(sorted(x_list), dtype=np.int64)
y_list = np.array(sorted(y_list), dtype=np.int64)
x_dict = create_dict(x_list)
y_dict = create_dict(y_list)
row_real = len(x_list)
col_real = len(y_list)
row = row_real + 2
col = col_real + 2
total = row * col

banned_up = np.zeros(total, dtype=np.int16)
banned_left = np.zeros(total, dtype=np.int16)


@njit
def register_ver_lines(a, b, c, banned_left, x_dict, y_dict, row):
    if a > b:
        a, b = b, a
    ai = y_dict[a] * row
    bi = y_dict[b] * row
    j = x_dict[c]
    banned_left[ai + j] += 1
    banned_left[bi + j] -= 1


@njit
def register_hor_lines(d, e, f, banned_up, x_dict, y_dict, row):
    if e > f:
        e, f = f, e
    ri = y_dict[d] * row
    ej = x_dict[e]
    fj = x_dict[f]
    banned_up[ri + ej] += 1
    banned_up[ri + fj] -= 1


@njit
def accumulate_banned(banned_up, banned_left, row, col):
    for i in range(1, col):
        ri0 = row * (i - 1)
        ri1 = row * i
        for j in range(1, row):
            banned_up[ri1 + j] += banned_up[ri1 + j - 1]
            banned_left[ri1 + j] += banned_left[ri0 + j]


@njit
def solve(x_list, y_list, x_dict, y_dict, banned_up, banned_left, row, col):
    s = row * y_dict[0] + x_dict[0]
    enable = np.array([-1] * row + ([-1] + [0] * (row - 2) + [-1]) * (col - 2) + [-1] * row, dtype=np.int8)
    enable[s] = 1
    q = [s]

    def check(nc):
        nonlocal enable, q
        if not enable[nc] == 1:
            q.append(nc)
            enable[nc] = 1

    ans = 0
    while q:
        c = q.pop()

        if not banned_up[c]:
            nc = c - row
            if enable[nc] == -1:
                return -1
            check(nc)

        if not banned_left[c]:
            nc = c - 1
            if enable[nc] == -1:
                return -1
            check(nc)

        nc = c + 1
        if not banned_left[nc]:
            if enable[nc] == -1:
                return -1
            check(nc)

        nc = c + row
        if not banned_up[nc]:
            if enable[nc] == -1:
                return -1
            check(nc)

        i, j = divmod(c, row)
        t = y_list[i - 1]
        b = y_list[i]
        l = x_list[j - 1]
        r = x_list[j]
        ans += (b - t) * (r - l)

    return ans


for a, b, c in zip(aaa, bbb, ccc):
    register_ver_lines(a, b, c, banned_left, x_dict, y_dict, row)
for d, e, f in zip(ddd, eee, fff):
    register_hor_lines(d, e, f, banned_up, x_dict, y_dict, row)

accumulate_banned(banned_up, banned_left, row, col)

ans = solve(x_list, y_list, x_dict, y_dict, banned_up, banned_left, row, col)
print(ans if ans != -1 else 'INF')

Solution (Python):
import sys
import numpy as np

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

INF = 10**9 + 1

def precompute(N, M, data):
    data = data.reshape(-1, 3)
    A, B, C = data[:N].T
    D, E, F = data[N:].T
    X = np.unique(np.concatenate([A, B, D, [0, -INF, INF]]))
    Y = np.unique(np.concatenate([C, E, F, [0, -INF, INF]]))
    A = np.searchsorted(X, A)
    B = np.searchsorted(X, B)
    D = np.searchsorted(X, D)
    C = np.searchsorted(Y, C)
    E = np.searchsorted(Y, E)
    F = np.searchsorted(Y, F)
    return A, B, C, D, E, F, X, Y

def solve(A, B, C, D, E, F, X, Y):
    H, W = len(X), len(Y)
    N = H * W
    DX = X[1:] - X[:-1]
    DY = Y[1:] - Y[:-1]

    def set_ng(A, B, C, D, E, F, H, W):
        ng = np.zeros((H * W, 4), np.bool_)

        for i in range(len(A)):
            for x in range(A[i], B[i]):
                v = x * W + C[i]
                ng[v][1] = 1
                ng[v - 1][0] = 1

        for i in range(len(D)):
            for y in range(E[i], F[i]):
                v = D[i] * W + y
                ng[v][3] = 1
                ng[v - W][2] = 1
        return ng

    ng = set_ng(A, B, C, D, E, F, H, W)
    x0, y0 = np.searchsorted(X, 0), np.searchsorted(Y, 0)
    v0 = x0 * W + y0
    visited = np.zeros(N, np.bool_)
    visited[v0] = 1
    stack = np.empty(N, np.int32)
    p = 0
    ret = 0

    def area(x):
        x, y = divmod(x, W)
        return DX[x] * DY[y]

    def push(x):
        nonlocal p, ret
        stack[p] = x
        visited[x] = 1
        ret += area(x)
        p += 1

    def pop():
        nonlocal p
        p -= 1
        return stack[p]

    push(v0)
    move = (1, -1, W, -W)
    while p:
        v = pop()
        for i in range(4):
            if ng[v][i]:
                continue
            w = v + move[i]
            if visited[w]:
                continue
            x, y = divmod(w, W)
            if x == 0 or x == H - 1 or y == 0 or y == W - 1:
                return 0
            push(w)
    return ret

def cc_export():
    from numba.pycc import CC
    cc = CC('my_module')
    signature = '(i8[:],i8[:],i8[:],i8[:],i8[:],i8[:],i8[:],i8[:])'
    cc.export('solve', signature)(solve)
    cc.compile()

if sys.argv[-1] == 'ONLINE_JUDGE':
    cc_export()
    exit()

from my_module import solve

N, M = map(int, readline().split())
data = np.int64(read().split())

x = solve(*precompute(N, M, data))
if x == 0:
    print('INF')
else:
    print(x)

Solution (Python):
import sys
import numpy as np
from numba import njit

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

INF = 10**9 + 1

def precompute(N, M, data):
    data = data.reshape(-1, 3)
    A, B, C = data[:N].T
    D, E, F = data[N:].T
    X = np.unique(np.concatenate([A, B, D, [0, -INF, INF]]))
    Y = np.unique(np.concatenate([C, E, F, [0, -INF, INF]]))
    A = np.searchsorted(X, A)
    B = np.searchsorted(X, B)
    D = np.searchsorted(X, D)
    C = np.searchsorted(Y, C)
    E = np.searchsorted(Y, E)
    F = np.searchsorted(Y, F)
    return A, B, C, D, E, F, X, Y

def solve(A, B, C, D, E, F, X, Y):
    H, W = len(X), len(Y)
    N = H * W
    DX = X[1:] - X[:-1]
    DY = Y[1:] - Y[:-1]

    def set_ng(A, B, C, D, E, F, H, W):
        ng = np.zeros((H * W, 4), np.bool_)

        for i in range(len(A)):
            for x in range(A[i], B[i]):
                v = x * W + C[i]
                ng[v][1] = 1
                ng[v - 1][0] = 1

        for i in range(len(D)):
            for y in range(E[i], F[i]):
                v = D[i] * W + y
                ng[v][3] = 1
                ng[v - W][2] = 1
        return ng

    ng = set_ng(A, B, C, D, E, F, H, W)
    x0, y0 = np.searchsorted(X, 0), np.searchsorted(Y, 0)
    v0 = x0 * W + y0
    visited = np.zeros(N, np.bool_)
    visited[v0] = 1
    stack = np.empty(N, np.int32)
    p = 0
    ret = 0

    def area(x):
        x, y = divmod(x, W)
        return DX[x] * DY[y]

    def push(x):
        nonlocal p, ret
        stack[p] = x
        visited[x] = 1
        ret += area(x)
        p += 1

    def pop():
        nonlocal p
        p -= 1
        return stack[p]

    push(v0)
    move = (1, -1, W, -W)
    while p:
        v = pop()
        for i in range(4):
            if ng[v][i]:
                continue
            w = v + move[i]
            if visited[w]:
                continue
            x, y = divmod(w, W)
            if x == 0 or x == H - 1 or y == 0 or y == W - 1:
                return 0
            push(w)
    return ret

def cc_export():
    from numba.pycc import CC
    cc = CC('my_module')
    signature = '(i8[:],i8[:],i8[:],i8[:],i8[:],i8[:],i8[:],i8[:])'
    cc.export('solve', signature)(solve)
    cc.compile()

if sys.argv[-1] == 'ONLINE_JUDGE':
    cc_export()
    exit()

from my_module import solve

N, M = map(int, readline().split())
data = np.int64(read().split())

x = solve(*precompute(N, M, data))
if x == 0:
    print('INF')
else:
    print(x)

Solution (Python):
import sys
import numpy as np
from numba import njit

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

INF = 10**9 + 1

def precompute(N, M, data):
    data = data.reshape(-1, 3)
    A, B, C = data[:N].T
    D, E, F = data[N:].T
    X = np.unique(np.concatenate([A, B, D, [0, -INF, INF]]))
    Y = np.unique(np.concatenate([C, E, F, [0, -INF, INF]]))
    A = np.searchsorted(X, A)
    B = np.searchsorted(X, B)
    D = np.searchsorted(X, D)
    C = np.searchsorted(Y, C)
    E = np.searchsorted(Y, E)
    F = np.searchsorted(Y, F)
    return A, B, C, D, E, F, X, Y

@njit('(i8[:],i8[:],i8[:],i8[:],i8[:],i8[:],i8[:],i8[:])', cache=True)
def solve(A, B, C, D, E, F, X, Y):
    H, W = len(X), len(Y)
    N = H * W
    DX = X[1:] - X[:-1]
    DY = Y[1:] - Y[:-1]

    def set_ng(A, B, C, D, E, F, H, W):
        ng = np.zeros((H * W, 4), np.bool_)

        for i in range(len(A)):
            for x in range(A[i], B[i]):
                v = x * W + C[i]
                ng[v][1] = 1
                ng[v - 1][0] = 1

        for i in range(len(D)):
            for y in range(E[i], F[i]):
                v = D[i] * W + y
                ng[v][3] = 1
                ng[v - W][2] = 1
        return ng

    ng = set_ng(A, B, C, D, E, F, H, W)
    x0, y0 = np.searchsorted(X, 0), np.searchsorted(Y, 0)
    v0 = x0 * W + y0
    visited = np.zeros(N, np.bool_)
    visited[v0] = 1
    stack = np.empty(N, np.int32)
    p = 0
    ret = 0

    def area(x):
        x, y = divmod(x, W)
        return DX[x] * DY[y]

    def push(x):
        nonlocal p, ret
        stack[p] = x
        visited[x] = 1
        ret += area(x)
        p += 1

    def pop():
        nonlocal p
        p -= 1
        return stack[p]

    push(v0)
    move = (1, -1, W, -W)
    while p:
        v = pop()
        for i in range(4):
            if ng[v][i]:
                continue
            w = v + move[i]
            if visited[w]:
                continue
            x, y = divmod(w, W)
            if x == 0 or x == H - 1 or y == 0 or y == W - 1:
                return 0
            push(w)
    return ret

N, M = map(int, readline().split())
data = np.int64(read().split())

x = solve(*precompute(N, M, data))
if x == 0:
    print('INF')
else:
    print(x)

Solution (Python):
import sys
import numpy as np
from numba import njit

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

INF = 10**9 + 1

def precompute(N, M, data):
    data = data.reshape(-1, 3)
    A, B, C = data[:N].T
    D, E, F = data[N:].T
    X = np.unique(np.concatenate([A, B, D, [0, -INF, INF]]))
    Y = np.unique(np.concatenate([C, E, F, [0, -INF, INF]]))
    A = np.searchsorted(X, A)
    B = np.searchsorted(X, B)
    D = np.searchsorted(X, D)
    C = np.searchsorted(Y, C)
    E = np.searchsorted(Y, E)
    F = np.searchsorted(Y, F)
    return A, B, C, D, E, F, X, Y

@njit('(i8[:],i8[:],i8[:],i8[:],i8[:],i8[:],i8,i8)', cache=True)
def set_ng(A, B, C, D, E, F, H, W):
    ng = np.zeros((H * W, 4), np.bool_)

    for i in range(len(A)):
        for x in range(A[i], B[i]):
            v = x * W + C[i]
            ng[v][1] = 1
            ng[v - 1][0] = 1

    for i in range(len(D)):
        for y in range(E[i], F[i]):
            v = D[i] * W + y
            ng[v][3] = 1
            ng[v - W][2] = 1
    return ng

@njit('(i8[:],i8[:],i8[:],i8[:],i8[:],i8[:],i8[:],i8[:])', cache=True)
def solve(A, B, C, D, E, F, X, Y):
    H, W = len(X), len(Y)
    N = H * W
    DX = X[1:] - X[:-1]
    DY = Y[1:] - Y[:-1]
    ng = set_ng(A, B, C, D, E, F, H, W)
    x0, y0 = np.searchsorted(X, 0), np.searchsorted(Y, 0)
    v0 = x0 * W + y0
    visited = np.zeros(N, np.bool_)
    visited[v0] = 1
    stack = np.empty(N, np.int32)
    p = 0
    ret = 0

    def area(x):
        x, y = divmod(x, W)
        return DX[x] * DY[y]

    def push(x):
        nonlocal p, ret
        stack[p] = x
        visited[x] = 1
        ret += area(x)
        p += 1

    def pop():
        nonlocal p
        p -= 1
        return stack[p]

    push(v0)
    move = (1, -1, W, -W)
    while p:
        v = pop()
        for i in range(4):
            if ng[v][i]:
                continue
            w = v + move[i]
            if visited[w]:
                continue
            x, y = divmod(w, W)
            if x == 0 or x == H - 1 or y == 0 or y == W - 1:
                return 0
            push(w)
    return ret

N, M = map(int, readline().split())
data = np.int64(read().split())

x = solve(*precompute(N, M, data))
if x == 0:
    print('INF')
else:
    print(x)

Solution (Python):
import sys
import numpy as np
from numba import njit

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

INF = 10**9 + 1

def precompute(N, M, data):
    data = data.reshape(-1, 3)
    A, B, C = data[:N].T
    D, E, F = data[N:].T
    X = np.unique(np.concatenate([A, B, D, [0, -INF, INF]]))
    Y = np.unique(np.concatenate([C, E, F, [0, -INF, INF]]))
    DX, DY = np.diff(X), np.diff(Y)
    A = np.searchsorted(X, A)
    B = np.searchsorted(X, B)
    D = np.searchsorted(X, D)
    C = np.searchsorted(Y, C)
    E = np.searchsorted(Y, E)
    F = np.searchsorted(Y, F)
    return A, B, C, D, E, F, X, Y, DX, DY

@njit(cache=True)
def set_ng(A, B, C, D, E, F, H, W):
    ng = np.zeros((H * W, 4), np.bool_)

    for i in range(len(A)):
        for x in range(A[i], B[i]):
            v = x * W + C[i]
            ng[v][1] = 1
            ng[v - 1][0] = 1

    for i in range(len(D)):
        for y in range(E[i], F[i]):
            v = D[i] * W + y
            ng[v][3] = 1
            ng[v - W][2] = 1
    return ng

@njit(cache=True)
def solve(A, B, C, D, E, F, X, Y, DX, DY):
    H, W = len(X), len(Y)
    N = H * W
    ng = set_ng(A, B, C, D, E, F, H, W)
    x0, y0 = np.searchsorted(X, 0), np.searchsorted(Y, 0)
    v0 = x0 * W + y0
    visited = np.zeros(N, np.bool_)
    visited[v0] = 1
    stack = np.empty(N, np.int32)
    p = 0
    ret = 0

    def area(x):
        x, y = divmod(x, W)
        return DX[x] * DY[y]

    def push(x):
        nonlocal p, ret
        stack[p] = x
        visited[x] = 1
        ret += area(x)
        p += 1

    def pop():
        nonlocal p
        p -= 1
        return stack[p]

    push(v0)
    move = (1, -1, W, -W)
    while p:
        v = pop()
        for i in range(4):
            if ng[v][i]:
                continue
            w = v + move[i]
            if visited[w]:
                continue
            x, y = divmod(w, W)
            if x == 0 or x == H - 1 or y == 0 or y == W - 1:
                return 0
            push(w)
    return ret

N, M = map(int, readline().split())
data = np.int64(read().split())

x = solve(*precompute(N, M, data))
if x == 0:
    print('INF')
else:
    print(x)

Solution (Python):
import sys
import numpy as np
from numba import njit

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

INF = 10**9 + 1

def precompute(N, M, data):
    data = data.reshape(-1, 3)
    A, B, C = data[:N].T
    D, E, F = data[N:].T
    X = np.unique(np.concatenate([A, B, D, [0, -INF, INF]]))
    Y = np.unique(np.concatenate([C, E, F, [0, -INF, INF]]))
    DX, DY = np.diff(X), np.diff(Y)
    A = np.searchsorted(X, A)
    B = np.searchsorted(X, B)
    D = np.searchsorted(X, D)
    C = np.searchsorted(Y, C)
    E = np.searchsorted(Y, E)
    F = np.searchsorted(Y, F)
    return A, B, C, D, E, F, X, Y, DX, DY

@njit
def set_ng(A, B, C, D, E, F, H, W):
    ng = np.zeros((H * W, 4), np.bool_)

    for i in range(len(A)):
        for x in range(A[i], B[i]):
            v = x * W + C[i]
            ng[v][1] = 1
            ng[v - 1][0] = 1

    for i in range(len(D)):
        for y in range(E[i], F[i]):
            v = D[i] * W + y
            ng[v][3] = 1
            ng[v - W][2] = 1
    return ng

@njit
def solve(A, B, C, D, E, F, X, Y, DX, DY):
    H, W = len(X), len(Y)
    N = H * W
    ng = set_ng(A, B, C, D, E, F, H, W)
    x0, y0 = np.searchsorted(X, 0), np.searchsorted(Y, 0)
    v0 = x0 * W + y0
    visited = np.zeros(N, np.bool_)
    visited[v0] = 1
    stack = np.empty(N, np.int32)
    p = 0
    ret = 0

    def area(x):
        x, y = divmod(x, W)
        return DX[x] * DY[y]

    def push(x):
        nonlocal p, ret
        stack[p] = x
        visited[x] = 1
        ret += area(x)
        p += 1

    def pop():
        nonlocal p
        p -= 1
        return stack[p]

    push(v0)
    move = (1, -1, W, -W)
    while p:
        v = pop()
        for i in range(4):
            if ng[v][i]:
                continue
            w = v + move[i]
            if visited[w]:
                continue
            x, y = divmod(w, W)
            if x == 0 or x == H - 1 or y == 0 or y == W - 1:
                return 0
            push(w)
    return ret

N, M = map(int, readline().split())
data = np.int64(read().split())

x = solve(*precompute(N, M, data))
if x == 0:
    print('INF')
else:
    print(x)

Solution (Python):
import sys
import numpy as np
from numba import njit

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

INF = 10**9 + 1

N, M = map(int, readline().split())
data = np.int64(read().split()).reshape(-1, 3)

A = data[:N, 0]
B = data[:N, 1]
C = data[:N, 2]
D = data[N:, 0]
E = data[N:, 1]
F = data[N:, 2]

X = np.unique(np.concatenate([A, B, D, [0, -INF, INF]]))
Y = np.unique(np.concatenate([C, E, F, [0, -INF, INF]]))
DX = X[1:] - X[:-1]
DY = Y[1:] - Y[:-1]

A, B, D = map(lambda x: np.searchsorted(X, x), (A, B, D))
C, E, F = map(lambda x: np.searchsorted(Y, x), (C, E, F))

H, W = len(X), len(Y)
N = H * W

@njit
def solve():
    def set_ng():
        ng = np.zeros((N, 4), np.bool_)

        for i in range(len(A)):
            for x in range(A[i], B[i]):
                v = x * W + C[i]
                ng[v][1] = 1
                ng[v - 1][0] = 1

        for i in range(len(D)):
            for y in range(E[i], F[i]):
                v = D[i] * W + y
                ng[v][3] = 1
                ng[v - W][2] = 1
        return ng

    ng = set_ng(A, B, C, D, E, F)
    x0, y0 = np.searchsorted(X, 0), np.searchsorted(Y, 0)
    v0 = x0 * W + y0
    visited = np.zeros(N, np.bool_)
    visited[v0] = 1
    stack = np.empty(N, np.int32)
    p = 0
    ret = 0

    def area(x):
        x, y = divmod(x, W)
        return DX[x] * DY[y]

    def push(x):
        nonlocal p, ret
        stack[p] = x
        visited[x] = 1
        ret += area(x)
        p += 1

    def pop():
        nonlocal p
        p -= 1
        return stack[p]

    push(v0)
    move = (1, -1, W, -W)
    while p:
        v = pop()
        for i in range(4):
            if ng[v][i]:
                continue
            w = v + move[i]
            if visited[w]:
                continue
            x, y = divmod(w, W)
            if x == 0 or x == H - 1 or y == 0 or y == W - 1:
                return 0
            push(w)
    return ret

x = solve()
if x == 0:
    print('INF')
else:
    print(x)

Solution (Python):
import sys
import numpy as np
from numba import njit

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

INF = 10**9 + 1

N, M = map(int, readline().split())
data = np.int64(read().split()).reshape(-1, 3)

A = data[:N, 0]
B = data[:N, 1]
C = data[:N, 2]
D = data[N:, 0]
E = data[N:, 1]
F = data[N:, 2]

X = np.unique(np.concatenate([A, B, D, [0, -INF, INF]]))
Y = np.unique(np.concatenate([C, E, F, [0, -INF, INF]]))
DX = X[1:] - X[:-1]
DY = Y[1:] - Y[:-1]

A, B, D = map(lambda x: np.searchsorted(X, x), (A, B, D))
C, E, F = map(lambda x: np.searchsorted(Y, x), (C, E, F))

H, W = len(X), len(Y)
N = H * W

@njit
def set_ng(A, B, C, D, E, F):
    ng = np.zeros((N, 4), np.bool_)

    for i in range(len(A)):
        for x in range(A[i], B[i]):
            v = x * W + C[i]
            ng[v][1] = 1
            ng[v - 1][0] = 1

    for i in range(len(D)):
        for y in range(E[i], F[i]):
            v = D[i] * W + y
            ng[v][3] = 1
            ng[v - W][2] = 1
    return ng

@njit
def solve():
    ng = set_ng(A, B, C, D, E, F)
    x0, y0 = np.searchsorted(X, 0), np.searchsorted(Y, 0)
    v0 = x0 * W + y0
    visited = np.zeros(N, np.bool_)
    visited[v0] = 1
    stack = [v0]
    ret = 0

    def area(x):
        x, y = divmod(x, W)
        return DX[x] * DY[y]

    def push(x):
        nonlocal ret
        stack.append(x)
        visited[x] = 1
        ret += area(x)

    push(v0)
    move = (1, -1, W, -W)
    while stack:
        v = stack.pop()
        for i in range(4):
            if ng[v][i]:
                continue
            w = v + move[i]
            if visited[w]:
                continue
            x, y = divmod(w, W)
            if x == 0 or x == H - 1 or y == 0 or y == W - 1:
                return 0
            push(w)
    return ret

x = solve()
if x == 0:
    print('INF')
else:
    print(x)