dp with dimensions k x 1024 (since numbers are less than 2^10) and set all values to a large number (e.g., n+1), except dp[0][0] which is set to 0.freq to count the occurrences of each number at each position modulo k.i from 0 to k-1.i, calculate the total number of elements in the set S[i].j from 0 to 1023, calculate the minimum number of changes required if we change the current element to one of the elements in the set S[i] or to any other number to achieve the XOR value j.j.dp[k-1][0] as the answer.