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ABCDE Problem

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Problem proposed by Kamal Jain: Solution can be implemented with a simple backtracking, with a bit of pruning during the Check. Not the most efficient solution due to the string operations, but did the trick, and the answer is: 09754,14754,15078,15080,15104,20078,20080,20104 Gemini 2.5 Flash as the clear winner. Code is down below, cheers. List < string > solutions = new List < string >(); Combination ( "" , 5 , ref solutions ); for ( int i = 0 ; i < solutions . Count ; i ++)     Console . Write ( "{0}{1}" , solutions [ i ], i < solutions . Count - 1 ? ',' : ' ' ); void Combination ( string current ,                   int MAX ,                   ref List < string > retVal ) {     if ( current . Length == MAX )     {         if ( Check ( current , MAX , 20320 ))             retVal . A...