In many table-top games it is common to use different dice to simulate random events. A “d” or “D” is used to indicate a die with a specific number of faces, d4 indicating a four-sided die, for example. If several dice of the same type are to be rolled, this is indicated by a leading number specifying the number of dice. Hence, 2d6 means the player should roll two six-sided dice and sum the result face values. Write a program to compute the most likely outcomes for the sum of two dice rolls. Assume each die has numbered faces starting at 1 and that each face has equal roll probability. Input The input file contains several test cases, each of them as described below. The input consists of a single line with two integer numbers, N,M, specifying the number of faces of the two dice. Constraints: 4 ≤ N,M ≤ 20 Number of faces. Output For each test case, a line with the most likely outcome for the sum; in case of several outcomes with the same probability, they must be listed from lowest to highest value in separate lines. The outputs of two consecutive cases will be separated by a blank line. Sample Input 66 64 12 20 Sample Output 7 5 6 7 13 14 15
2/2 16 17 18 19 20 21