Leetcode Problem 2438. Range Product Queries of Powers

2438. Range Product Queries of Powers

Leetcode Solutions

Prefix Product with Modular Inverse

  1. Initialize an empty list powers.
  2. For each bit position i from 0 to 30, check if the ith bit of n is set. If it is, append 2^i to powers.
  3. Compute the prefix products of powers modulo 10^9 + 7 and store them in a list prefix_products.
  4. Initialize an empty list answers to store the results of the queries.
  5. For each query [left, right] in queries, calculate the product for the range:
    • If left is 0, append prefix_products[right] to answers.
    • Otherwise, calculate the modular inverse of prefix_products[left - 1] and multiply it with prefix_products[right], then append the result modulo 10^9 + 7 to answers.
  6. Return answers.
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Brute Force with Bit Manipulation

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