trimmed to store the trimmed length for all subarrays starting from index i to j.trimmed array by iterating over all possible subarrays and counting the frequency of each element. If an element's frequency becomes 2, increase the trimmed length by 2; if it's more than 2, increase by 1.dp to store the minimum cost to split the array starting from index i.i from 0 to n-1, calculate the minimum cost by trying all possible next split positions j and using the precomputed trimmed lengths.i is the minimum of dp[j] + k + trimmed[i][j-1] for all j from i+1 to n.dp[0] as the minimum cost to split the entire array.