How to Solve Number of Dice Rolls With Target Sum Problem
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Number of Dice Rolls With Target Sum
You have n dice, and each dice has k faces numbered from 1 to k. Given three integers n, k, and target, return the number of possible ways (out of the kn total ways) to roll the dice, so the sum of th...
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Understanding the Number of Dice Rolls With Target Sum Problem
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Problem Statement
You have n dice, and each dice has k faces numbered from 1 to k. Given three integers n, k, and target, return the number of possible ways (out of the kn total ways) to roll the dice, so the sum of the face-up numbers equals target. Since the answer may be too large, return it modulo 109 + 7.
Number of Dice Rolls With Target Sum
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Examples
n = 1, k = 6, target = 31You throw one die with 6 faces. There is only one way to get a sum of 3.
n = 2, k = 6, target = 76You 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.
n = 30, k = 30, target = 500222616187The answer must be returned modulo 109 + 7.
Constraints
1 <= n, k <= 301 <= target <= 1000How Interview Coder Helps with Leetcode Problems
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