This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
def number(x, y):
if x == y and x >= 0:
num = 1 + (2 * x - 1) * 2 * x
elif x == y and x < 0:
x = abs(x)
num = 1 + (2 * x + 1) * 2 * x
elif y == -x and x < 0:
x = abs(x)
num = 1 + 4 * x ** 2
elif y == -x + 1 and x >=1:
num = 1 + (2 * x - 1) ** 2
elif y > x and y > -x:
num = number(y, y) + y - x
elif y < x and y > -x + 1:
num = number(x, x) + y - x
elif y < -x + 1 and y < x:
num = number(y, y) + x - y
elif y < -x and y > x:
num = number(x, x) + x - y
return num
def intersection(x1, y1, x2, y2):
pass
# def func(x1, y1, x2, y2):
# count = 0
# for x in range(x1, x2 + 1):
# if x <= 0:
# a = min(-x, y2)
# b = max(x, y1)
# if x > 0:
# a = min(x, y2)
# b = max(-x + 1, y1)
# if a >= b:
# a = number(x, a)
# b = number(x, b)
# # print('x, a, b', x, a, b)
# # print((a + b) * (abs(a - b) + 1) // 2)
# # print(' ')
# count += (a + b) * (abs(a - b)+ 1) // 2
# count = count % (10 ** 9 + 7)
#
# for y in range(y1, y2 + 1):
# if y <= 0:
# a = max(x1, y + 1)
# b = min(x2, -y)
#
# if y > 0:
# a = max(x1, -y + 1)
# b = min(x2, y - 1)
# if a <= b:
# a = number(a, y)
# b = number(b, y)
# # print('y, a, b', y, a, b)
# # print((a + b) * (b - a + 1) // 2)
# # print(' ')
# count += (a + b) * (abs(b - a) + 1) // 2
# count = count % (10 ** 9 + 7)
#
# return count
def func(x1, y1, x2, y2):
count = 0
for x in range(x1, x2 + 1):
if x <= 0:
a = min(-x, y2)
b = max(x, y1)
if x > 0:
a = min(x, y2)
b = max(-x + 1, y1)
if a >= b:
a = number(x, a)
b = number(x, b)
# print('x, a, b', x, a, b)
# print((a + b) * (abs(a - b) + 1) // 2)
# print(' ')
count += (a + b) * (abs(a - b)+ 1) // 2
count = count % (10 ** 9 + 7)
for y in range(y1, y2 + 1):
if y <= 0:
a = max(x1, y + 1)
b = min(x2, -y)
elif y > 0:
a = max(x1, -y + 1)
b = min(x2, y - 1)
else:
break
if a <= b:
a = number(a, y)
b = number(b, y)
# print('y, a, b', y, a, b)
# print((a + b) * (b - a + 1) // 2)
# print(' ')
count += (a + b) * (abs(b - a) + 1) // 2
count = count % (10 ** 9 + 7)
return count
def check(x1, y1, x2, y2):
count = 0
for x in range(x1, x2 + 1):
for y in range(y1, y2 + 1):
num = number(x, y)
count += num
# print(x, y, num)
count = count % (10 ** 9 + 7)
return count
n, q = input().split(' ')
n, q = int(n), int(q)
for i in range(q):
x = input()
x1, y1, x2, y2 = x.split(' ')
x1, y1, x2, y2 = int(x1), int(y1), int(x2), int(y2)
ar = func(x1, y1, x2, y2)
print(ar)
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