Leet Code 1155. Number of Dice Rolls With Target Sum — Graphical Explained Python3 Solution
Problem Description You have d dice, and each die has f faces numbered 1, 2, ..., f . Return the number of possible ways (out of fd total ways) modulo 10^9 + 7 to roll the dice so the sum of the face up numbers equals target . Example 1: Input: d = 1, f = 6, target = 3 Output: 1 Explanation: You throw one die with 6 faces. There is only one way to get a sum of 3. Example 2: Input: d = 2, f = 6, target = 7 Output: 6 Explanation: You throw two dice, each with 6 faces. There are 6 ways to get a sum of 7: 1+6, 2+5, 3+4, 4+3, 5+2, 6+1. Example 3: Input: d = 2, f = 5, target = 10 Output: 1 Explanation: You throw two dice, each with 5 faces. There is only one way to get a sum of 10: 5+5. Example 4: Input: d = 1, f = 2, target = 3 Output: 0 Explanation: You throw one die with 2 faces. There is no way to get a sum of 3. Example 5: Input: d = 30, f = 30, target = 500 Output: 222616187 Explanation: The answer must be returned modulo 10^9 + 7. Solution Obvious Solution T