write a go solution for C. Black Circlestime limit per test2 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard outputThere are n circles on a two-dimensional plane. The i-th circle is centered at (x_i,y_i). Initially, all circles have a radius of 0.The circles' radii increase at a rate of 1 unit per second.You are currently at (x_s,y_s); your goal is to reach (x_t,y_t) without touching the circumference of any circle (including the moment you reach (x_t,y_t)). You can move in any direction you want. However, your speed is limited to 1 unit per second.Please determine whether this is possible.InputEach test contains multiple test cases. The first line contains the number of test cases t (1<=t<=10^4). The description of the test cases follows.The first line of each test case contains a single integer n (1<=n<=10^5) — the number of circles.The next n lines each contain two integers x_i, y_i (1<=x_i,y_i<=10^9) — the center of each circle.The final line contains four integers x_s, y_s, x_t, y_t (1<=x_s,y_s,x_t,y_t<=10^9) — the coordinates of the starting point and the goal, respectively.It is guaranteed that these n+2 points are distinct.It is guaranteed that the sum of n over all testcases does not exceed 10^5.OutputFor each test case, output textttYES if it is possible to reach the goal without touching the circle boundaries, and output textttNO otherwise.You can output textttYes and textttNo in any case (for example, strings textttyEs, textttyes, textttYes, and textttYES will be recognized as a positive response).ExampleInput732 52 1410 134 9 9 7310 116 912 1214 13 4 815 712 6 11 1321000000000 22 10000000001 1 2 21999999998 1000000000999999999 999999999 1 111000000000 11 1000000000 1 110989237121 2397081206669655 527238537522705783 380636165532545346 320061691207818728 199485303884520552 315781807992311437 802563521205138355 324818663223575704 395073023281560523 236279118216941610 572010615 323956540 794523071OutputYES
NO
YES
YES
YES
NO
YES
NoteIn the first test case, a feasible way of movement is as follows.. Output only the code with no comments, explanation, or additional text.