Recently, 0xfaner started a company.
The company has three divisions, which are in charge of different corporate affairs. But recently, department heads always reported to 0xfaner that they were understaffed.
So 0xfaner started the recruitment plan and successfully recruited $$$ x + y $$$ individuals.
Among them, department $$$ a $$$ needs $$$ x $$$ people and department $$$ b $$$ needs y people. Everyone shows different ability values in different departments.
0xfaner wants to know the sum of the maximum ability values that can be obtained by adjusting the allocation scheme.
The first line contains three integers $$$ x,y $$$ ( $$$ 0 < x,y,x+y \leq 10^5 $$$ ).
Each of the following $$$ x + y $$$ lines contains three integers $$$ a_i,b_i $$$ — the different ablilty value in dfferent department( $$$ 0 \leq a_i,b_i \leq 10^6 $$$ ).
Print a single integer — the maximum value 0xfaner can get.
2 2 0 1 0 2 2 3 3 4