Dynamic Programming pattern

Dice Combinations

Count the number of ways to reach the sum n by throwing a six-sided die one or more times. Each throw yields a value from 1 to 6, and order matters, for n = 3 the four ways are 1+1+1, 1+2, 2+1 and 3. Return the count modulo 10^9+7. Watch it run step by step, then write your own pseudocode and get it checked by AI.

  • LeetCode 377
  • Medium
  • 2 approaches

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Dynamic ProgrammingLeetCode 377

Medium

From the first idea to the best one

  1. 01 Brute force · recursion O(6ⁿ)O(n) space
  2. 02 Optimized · tabulation O(n)O(n) space
Each approach plays step by step, with its time and space.

What you will learn

  • How to read Dice Combinations and spot the dynamic programming pattern in it
  • Brute force · recursion: O(6ⁿ) time, O(n) space
  • Optimized · tabulation: O(n) time, O(n) space
  • The pseudocode for each approach, its line lit as the animation runs
  • Practice: write your own pseudocode and get it checked

More Dynamic Programming

See Dice Combinations run, step by step

Sign in and this page opens on the animation, with all 18 Dynamic Programming problems beside it.

DSA comes with the all labs plan and every ChaiCode batch.