Problem:
Score : 400 points

Problem Statement

On a two-dimensional plane, there are N red points and N blue points.
The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).

A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.

At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.

Constraints

All input values are integers.

1 \leq N \leq 100

0 \leq a_i, b_i, c_i, d_i < 2N

a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.

b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.

Input

Input is given from Standard Input in the following format:

N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N

Output

Print the maximum number of friendly pairs.

Sample Input 1

3
2 0
3 1
1 3
4 2
0 4
5 5

Sample Output 1

2

For example, you can pair (2, 0) and (4, 2), then (3, 1) and (5, 5).

Sample Input 2

3
0 0
1 1
5 2
2 3
3 4
4 5

Sample Output 2

2

For example, you can pair (0, 0) and (2, 3), then (1, 1) and (3, 4).

Sample Input 3

2
2 2
3 3
0 0
1 1

Sample Output 3

0

It is possible that no pair can be formed.

Sample Input 4

5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7

Sample Output 4

5

Sample Input 5

5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9

Sample Output 5

4

Solution in Python (3.4.3) (judge verdict: Wrong Answer)

 
n = int(input())
rx,ry = [0]*n,[0]*n
for i in range(n):
  rx[i], ry[i] = map(int, input().split())
  
bx, by = [0]*n,[0]*n
for i in range(n):
  bx[i], by[i] = map(int, input().split())
 
red = [[0,0]]*len(rx)
for i in range( len(rx) ):
    red[i] = rx[i], ry[i]
    red.sort(key = lambda p:p[0])
    red.sort(key = lambda p:p[1], reverse = True) 
    
blue = [ (bx[i],by[i]) for i in range( len(bx) )]
blue.sort()
    
paired = [False] * len(blue)
ans = 0
    
for i in range(len(rx)):
    for j in range(len(bx)):
            
        if paired[j]:
            continue
            
        if red[i][0] < blue[j][0] and \
            red[i][1] < blue[j][1] :# and \
                #paired[j] is False:
    #        print('{}, {}'.format(red[i],blue[j]))
            paired[j] = True
            ans += 1
            break
                
print(ans)