N = int(raw_input())
data = []
x_ = []
y_ = []
for i in range(N):
dataline = raw_input().strip('\n').split(" ")
dataline = map(int, dataline)
x, y = dataline[0], dataline[1]
data.append([x, y])
x_.append(x)
y_.append(y)
add = [] # x+y
minus = [] # x-y
for d in data:
add.append(d[0] + d[1])
minus.append(d[0] - d[1])
dictx_ = {}
dicty_ = {}
dictadd_ = {}
dictminus_ = {}
for d in x_:
if d not in dictx_:
dictx_[d] = 1
else:
dictx_[d] += 1
for d in y_:
if d not in dicty_:
dicty_[d] = 1
else:
dicty_[d] += 1
for d in add:
if d not in dictadd_:
dictadd_[d] = 1
else:
dictadd_[d] += 1
for d in minus:
if d not in dictminus_:
dictminus_[d] = 1
else:
dictminus_[d] += 1
ans = 0
for d in dictx_:
if dictx_[d] != 1:
ans += dictx_[d] * (dictx_[d] - 1) / 2
for d in dicty_:
if dicty_[d] != 1:
ans += dicty_[d] * (dicty_[d] - 1) / 2
for d in dictadd_:
if dictadd_[d] != 1:
ans += dictadd_[d] * (dictadd_[d] - 1) / 2
for d in dictminus_:
if dictminus_[d] != 1:
ans += dictminus_[d] * (dictminus_[d] - 1) / 2
print ans
思路:
1、对N个点的横坐标、纵坐标、横纵坐标之和、横纵坐标之差分别建立字典,然后统计对键值为2以上的个数。比如横坐标为4的有4个点,那么就有4*(4-1)/2=6个,即C4 2