In an n × n chessboard, Prince and Princess plays a game. The squares in the chessboard are numbered 1, 2, 3, . . . , n ∗ n, as shown below: Prince stands in square 1, make p jumps and finally reach square n ∗ n. He enters a square at most once. So if we use xp to denote the p-th square he enters, then x1, x2, …, xp+1 are all different. Note that x1 = 1 and xp+1 = n ∗ n. Princess does the similar thing – stands in square 1, make q jumps and finally reach square n ∗ n. We use y1, y2, …, yq+1 to denote the sequence, and all q + 1 numbers are different. Figure 2 belows show a 3×3 square, a possible route for Prince and a different route for Princess.
The Prince moves along the sequence: 1 –> 7 –> 5 –> 4 –> 8 –> 3 –> 9 (Black arrows), while the Princess moves along this sequence: 1 –> 4 –> 3 –> 5 > 6 –> 2 –> 8 –> 9 (White arrow). The King – their father, has just come. “Why move separately? You are brother and sister!” said the King, “Ignore some jumps and make sure that you’re always together.” For example, if the Prince ignores his 2nd, 3rd, 6th jump, he’ll follow the route: 1 –> 4 –> 8 –>
The first line of the input contains a single integer t (1 ≤ t ≤ 10), the number of test cases followed. For each case, the first line contains three integers n, p, q (2 ≤ n ≤ 250, 1 ≤ p, q < n ∗ n). The second line contains p + 1 different integers in the range [1 . . . n ∗ n], the sequence of the Prince. The third line contains q + 1 different integers in the range [1 . . . n ∗ n], the sequence of the Princess.
For each test case, print the case number and the length of longest route. Look at the output for sample input for details.
範例輸入 1
1 3 6 7 1 7 5 4 8 3 9 1 4 3 5 6 2 8 9
範例輸出 1
Case 1: 4
Pro 專屬功能： 查看這題在歷屆 CPE 出現過幾次 — 升級以解鎖.