C. Oranges and Applestime limit per test1.5 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard outputIn 2N - 1 boxes there are apples and oranges. Your task is to choose N boxes so, that they will contain not less than half of all the apples and not less than half of all the oranges.InputThe first input line contains one number T — amount of tests. The description of each test starts with a natural number N — amount of boxes. Each of the following 2N - 1 lines contains numbers ai and oi — amount of apples and oranges in the i-th box (0 ≤ ai, oi ≤ 109). The sum of N in all the tests in the input doesn't exceed 105. All the input numbers are integer.OutputFor each test output two lines. In the first line output YES, if it's possible to choose N boxes, or NO otherwise. If the answer is positive output in the second line N numbers — indexes of the chosen boxes. Boxes are numbered from 1 in the input order. Otherwise leave the second line empty. Separate the numbers with one space.ExamplesInput2210 155 720 1810 0OutputYES1 3YES1
Input2210 155 720 1810 0
OutputYES1 3YES1
['constructive algorithms', 'sortings', '*2500']