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Problem solution · Java

Find X Value of Array I

Find X Value of Array I: a Java solution using dynamic programming. Learn the idea, check the complexity, and read the full code, with credit to walkccc LeetCode Solutions.

Technique
Dynamic programming
Source
walkccc LeetCode Solutions
Length
27 lines
Start with the idea.

Try the problem first. If you get stuck, read the approach below, then write your own solution. The full code is at the bottom.

Approach

Dynamic programming

For Find X Value of Array I, the implementation records answers for smaller states and reuses them to build the requested result without repeating work.

  1. Define precisely what one DP state represents.
  2. Establish the base cases before transitions are evaluated.
  3. Process states in dependency order and combine only already-known values.

Code notes

  • 27 lines of Java from the credited upstream file 3524.java.
  • The implementation visibly relies on sequence storage, cached states.
  • 3 loop blocks detected.

Complexity

Multiply the number of reachable states by the work performed for each transition, then include the stored state table in memory usage.

Check the problem constraints before deciding whether this complexity will pass.

Source

Code and credit

This code comes from walkccc LeetCode Solutions by P.-Y. Chen (walkccc) and is used under the MIT licence.

Open problem ↗Original source ↗
Full codeFind X Value of Array I · JavaJava
Use this to learn the idea, then write your own version.
class Solution {  public long[] resultArray(int[] nums, int k) {    long[] ans = new long[k];    // dp[r] := the number of subarrays ending at current position with    // product % k == r    long[] dp = new long[k];     for (final int num : nums) {      long[] newDp = new long[k];      final int numMod = num % k;      // Start new subarray with only `num`.      newDp[numMod] = 1;      // Extend all previous subarrays.      for (int i = 0; i < k; ++i) {        final int newMod = (int) (1L * i * numMod % k);        newDp[newMod] += dp[i];      }      // Accumulate counts into ans.      for (int i = 0; i < k; ++i)        ans[i] += newDp[i];      dp = newDp;    }     return ans;  }}

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