E. Divide Squaretime limit per test2 secondsmemory limit per test384 megabytesinputstandard inputoutputstandard outputThere is a square of size 10^6 \times 10^6 on the coordinate plane with four points (0, 0), (0, 10^6), (10^6, 0), and (10^6, 10^6) as its vertices.You are going to draw segments on the plane. All segments are either horizontal or vertical and intersect with at least one side of the square.Now you are wondering how many pieces this square divides into after drawing all segments. Write a program calculating the number of pieces of the square.InputThe first line contains two integers n and m (0 \le n, m \le 10^5) — the number of horizontal segments and the number of vertical segments.The next n lines contain descriptions of the horizontal segments. The i-th line contains three integers y_i, lx_i and rx_i (0 < y_i < 10^6; 0 \le lx_i < rx_i \le 10^6), which means the segment connects (lx_i, y_i) and (rx_i, y_i).The next m lines contain descriptions of the vertical segments. The i-th line contains three integers x_i, ly_i and ry_i (0 < x_i < 10^6; 0 \le ly_i < ry_i \le 10^6), which means the segment connects (x_i, ly_i) and (x_i, ry_i).It's guaranteed that there are no two segments on the same line, and each segment intersects with at least one of square's sides.OutputPrint the number of pieces the square is divided into after drawing all the segments.ExampleInput
3 3
2 3 1000000
4 0 4
3 0 1000000
4 0 1
2 0 5
3 1 1000000
Output
7Note The sample is like this:  
3 3
2 3 1000000
4 0 4
3 0 1000000
4 0 1
2 0 5
3 1 1000000

7
['data structures', 'geometry', 'implementation', 'sortings', '*2400']