2412_1=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,7],[2,3,4,7],[2,3,5,8],[2,3,6,7],[2,3,6,9],[2,3,8,9],[2,4,5,6],[2,4,6,8],[2,4,7,8],[2,5,6,7],[2,5,7,8],[2,6,8,9],[3,4,5,7],[3,4,5,9],[3,4,6,8],[3,4,8,9],[3,5,6,9],[3,5,7,8],[3,6,7,8],[4,5,6,9],[4,6,7,9],[4,7,8,9],[6,7,8,9]] 2412_2=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,8],[1,6,7,8],[2,3,4,9],[2,3,5,7],[2,3,6,7],[2,3,6,8],[2,3,8,9],[2,4,5,6],[2,4,6,7],[2,4,7,8],[2,4,8,9],[2,5,6,8],[2,5,7,8],[3,4,5,7],[3,4,5,9],[3,4,6,8],[3,4,7,8],[3,5,6,9],[3,6,7,9],[3,7,8,9],[4,5,6,9],[4,6,8,9],[6,7,8,9]] 2412_3=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,8],[1,6,7,8],[2,3,4,9],[2,3,5,7],[2,3,6,7],[2,3,6,8],[2,3,8,9],[2,4,5,6],[2,4,6,7],[2,4,7,9],[2,5,6,9],[2,5,7,9],[2,6,8,9],[3,4,5,7],[3,4,5,8],[3,4,6,8],[3,4,7,9],[3,5,6,9],[3,5,8,9],[3,6,7,9],[4,5,6,8],[5,7,8,9],[6,7,8,9]] 2412_4=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,8],[1,6,7,8],[2,3,4,9],[2,3,5,7],[2,3,6,8],[2,3,6,9],[2,3,7,8],[2,4,5,8],[2,4,6,7],[2,4,6,9],[2,4,7,8],[2,5,6,7],[2,5,6,8],[3,4,5,8],[3,4,5,9],[3,4,6,8],[3,5,6,9],[3,5,7,8],[4,5,7,9],[4,6,8,9],[4,7,8,9],[5,6,7,9],[6,7,8,9]] 2412_5=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,8],[1,6,7,9],[1,6,8,9],[1,7,8,9],[2,3,4,6],[2,3,5,9],[2,3,6,8],[2,3,8,9],[2,4,5,8],[2,4,6,9],[2,4,7,8],[2,4,7,9],[2,5,6,8],[2,5,6,9],[2,7,8,9],[3,5,6,7],[3,5,7,8],[3,5,8,9],[3,6,7,8],[4,5,7,9],[4,5,8,9],[4,6,7,8],[4,6,8,9],[5,6,7,9]] 2412_6=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,8],[1,6,7,9],[1,6,8,9],[1,7,8,9],[2,3,4,7],[2,3,5,7],[2,4,5,6],[2,4,6,7],[2,5,6,8],[2,5,7,9],[2,5,8,9],[2,6,7,8],[2,7,8,9],[3,4,6,8],[3,4,7,9],[3,4,8,9],[3,5,6,9],[3,5,7,8],[3,5,8,9],[3,6,7,8],[3,6,7,9],[4,5,6,9],[4,5,7,9],[4,6,8,9]] 2412_7=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,8],[1,6,7,9],[1,6,8,9],[1,7,8,9],[2,3,4,8],[2,3,5,7],[2,3,7,9],[2,3,8,9],[2,4,5,8],[2,5,6,7],[2,5,6,8],[2,6,7,8],[2,7,8,9],[3,4,6,9],[3,4,7,8],[3,4,7,9],[3,5,6,9],[3,5,7,8],[3,5,8,9],[4,5,7,9],[4,5,8,9],[4,6,7,8],[4,6,8,9],[5,6,7,9]] 2412_8=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,8],[1,6,7,9],[1,6,8,9],[1,7,8,9],[2,3,4,9],[2,3,5,8],[2,3,6,7],[2,3,6,8],[2,3,7,9],[2,4,5,8],[2,4,6,7],[2,4,6,9],[2,4,7,8],[2,6,8,9],[2,7,8,9],[3,4,6,8],[3,4,7,8],[3,4,7,9],[3,5,6,7],[3,5,7,8],[4,5,6,8],[4,5,6,9],[4,5,7,9],[5,6,7,9]] 2412_9=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,9],[1,5,8,9],[1,6,7,8],[1,7,8,9],[2,3,4,6],[2,3,5,8],[2,3,6,9],[2,3,8,9],[2,4,5,9],[2,4,6,8],[2,4,7,8],[2,4,7,9],[2,5,6,8],[2,5,6,9],[2,7,8,9],[3,5,6,7],[3,5,7,8],[3,6,7,8],[3,6,8,9],[4,5,7,8],[4,5,8,9],[4,6,7,9],[4,6,8,9],[5,6,7,9]] 2412_10=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,9],[1,5,8,9],[1,6,7,8],[1,7,8,9],[2,3,4,7],[2,3,5,9],[2,3,6,7],[2,3,6,8],[2,3,8,9],[2,4,5,8],[2,4,7,9],[2,4,8,9],[2,5,7,8],[2,5,7,9],[2,6,7,8],[3,4,5,7],[3,4,5,9],[3,4,6,9],[3,5,6,8],[3,5,7,8],[3,6,7,9],[3,7,8,9],[4,5,8,9],[4,6,7,9]] 2412_11=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,9],[1,5,8,9],[1,6,7,9],[1,6,8,9],[2,3,4,7],[2,3,5,8],[2,3,6,8],[2,3,6,9],[2,3,7,9],[2,4,5,9],[2,4,7,8],[2,4,8,9],[2,5,7,8],[2,5,7,9],[2,6,8,9],[3,4,6,8],[3,4,7,9],[3,4,8,9],[3,5,6,9],[3,5,8,9],[4,5,6,8],[4,5,6,9],[4,5,7,8],[4,6,7,9]] 2412_12=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,9],[1,5,8,9],[1,6,7,9],[1,6,8,9],[2,3,4,8],[2,3,5,8],[2,4,5,6],[2,4,6,7],[2,4,7,9],[2,4,8,9],[2,5,6,9],[2,5,7,8],[2,5,7,9],[2,6,7,8],[2,6,8,9],[3,4,6,8],[3,5,6,9],[3,5,8,9],[3,6,7,8],[3,6,7,9],[3,7,8,9],[4,5,6,8],[4,5,7,8],[4,7,8,9]] 2412_13=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,9],[1,5,8,9],[1,6,7,9],[1,6,8,9],[2,3,4,9],[2,3,5,7],[2,3,6,7],[2,3,6,8],[2,3,8,9],[2,4,5,6],[2,4,6,7],[2,4,7,9],[2,5,6,9],[2,5,7,9],[2,6,8,9],[3,4,5,7],[3,4,5,8],[3,4,6,8],[3,4,7,9],[3,5,6,9],[3,5,8,9],[3,6,7,9],[4,5,6,8]] 2412_14=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,9],[1,5,8,9],[1,6,7,9],[1,6,8,9],[2,3,4,9],[2,3,5,7],[2,3,6,7],[2,3,6,8],[2,3,8,9],[2,4,5,6],[2,4,6,7],[2,4,7,9],[2,5,6,9],[2,5,7,9],[2,6,8,9],[3,4,6,8],[3,4,7,8],[3,4,7,9],[3,5,6,9],[3,5,7,8],[3,5,8,9],[3,6,7,9],[4,5,6,8],[4,5,7,8]] 2412_15=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,9],[1,5,8,9],[1,6,7,9],[1,6,8,9],[2,3,4,9],[2,3,5,7],[2,3,7,8],[2,3,8,9],[2,4,5,6],[2,4,6,7],[2,4,7,9],[2,5,6,9],[2,5,7,9],[2,6,7,8],[2,6,8,9],[3,4,5,7],[3,4,5,8],[3,4,6,8],[3,4,7,9],[3,5,6,9],[3,5,8,9],[3,6,7,8],[3,6,7,9],[4,5,6,8]] 2412_16=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,9],[1,5,8,9],[1,6,7,9],[1,6,8,9],[2,3,4,9],[2,3,5,8],[2,3,6,7],[2,3,6,8],[2,3,7,9],[2,4,5,6],[2,4,6,7],[2,4,7,8],[2,4,8,9],[2,5,6,9],[2,5,7,8],[2,5,7,9],[2,6,8,9],[3,4,6,8],[3,4,8,9],[3,5,6,9],[3,5,8,9],[3,6,7,9],[4,5,6,8],[4,5,7,8]] 2412_17=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,7],[1,5,6,8],[1,5,7,9],[1,5,8,9],[1,6,7,9],[1,6,8,9],[2,3,4,9],[2,3,5,8],[2,3,6,7],[2,3,6,8],[2,3,7,9],[2,4,5,8],[2,4,6,7],[2,4,6,9],[2,4,7,8],[2,6,8,9],[2,7,8,9],[3,4,6,8],[3,4,8,9],[3,5,6,9],[3,5,8,9],[3,6,7,9],[4,5,6,8],[4,5,6,9],[4,5,7,9],[4,7,8,9]] 2412_18=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,8],[1,4,7,8],[1,5,6,8],[1,5,7,8],[2,3,4,7],[2,3,5,9],[2,3,6,7],[2,3,6,8],[2,3,8,9],[2,4,5,8],[2,4,6,8],[2,4,6,9],[2,4,7,9],[2,5,6,7],[2,5,6,9],[2,5,7,8],[2,7,8,9],[3,4,5,7],[3,4,5,9],[3,4,6,9],[3,5,6,7],[3,6,8,9],[4,5,8,9],[4,7,8,9],[5,6,8,9]] 2412_19=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,8],[1,4,7,8],[1,5,6,8],[1,5,7,8],[2,3,4,7],[2,3,5,9],[2,3,6,8],[2,3,6,9],[2,3,7,8],[2,4,5,8],[2,4,7,9],[2,4,8,9],[2,5,7,8],[2,5,7,9],[2,6,8,9],[3,4,5,7],[3,4,5,8],[3,4,6,8],[3,5,6,7],[3,5,8,9],[3,6,7,9],[3,7,8,9],[4,7,8,9],[5,6,7,9],[5,6,8,9]] 2412_20=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,8],[1,4,7,8],[1,5,6,8],[1,5,7,8],[2,3,4,7],[2,3,5,9],[2,3,7,8],[2,3,8,9],[2,4,5,8],[2,4,6,8],[2,4,6,9],[2,4,7,9],[2,5,7,8],[2,5,7,9],[2,6,8,9],[3,4,5,7],[3,4,5,9],[3,4,6,9],[3,5,6,7],[3,6,7,9],[3,7,8,9],[4,5,8,9],[4,7,8,9],[5,6,7,9],[5,6,8,9]] 2412_21=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,8],[1,4,7,8],[1,5,6,9],[1,5,7,8],[1,5,8,9],[1,6,8,9],[2,3,4,7],[2,3,5,7],[2,4,5,6],[2,4,6,8],[2,4,7,9],[2,4,8,9],[2,5,6,8],[2,5,7,8],[2,7,8,9],[3,4,6,9],[3,4,7,8],[3,4,8,9],[3,5,6,8],[3,5,7,9],[3,5,8,9],[3,6,7,8],[3,6,7,9],[4,5,6,9],[4,5,7,9],[6,7,8,9]] 2412_22=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,8],[1,4,7,8],[1,5,6,9],[1,5,7,8],[1,5,8,9],[1,6,8,9],[2,3,4,7],[2,3,5,8],[2,3,6,7],[2,3,6,9],[2,3,8,9],[2,4,5,9],[2,4,6,7],[2,4,6,8],[2,4,8,9],[2,5,6,8],[2,5,6,9],[3,4,5,7],[3,4,5,9],[3,4,6,9],[3,5,6,7],[3,5,8,9],[4,6,7,9],[4,7,8,9],[5,6,7,8],[6,7,8,9]] 2412_23=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,8],[1,4,7,8],[1,5,6,9],[1,5,7,8],[1,5,8,9],[1,6,8,9],[2,3,4,7],[2,3,5,9],[2,3,6,7],[2,3,6,8],[2,3,8,9],[2,4,5,8],[2,4,6,8],[2,4,6,9],[2,4,7,9],[2,5,6,7],[2,5,6,9],[2,5,7,8],[2,7,8,9],[3,4,5,7],[3,4,5,9],[3,4,6,9],[3,5,6,7],[3,6,8,9],[4,5,8,9],[4,7,8,9]] 2412_24=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,8],[1,4,7,8],[1,5,6,9],[1,5,7,8],[1,5,8,9],[1,6,8,9],[2,3,4,7],[2,3,5,9],[2,3,6,7],[2,3,6,9],[2,4,5,6],[2,4,6,7],[2,5,6,9],[3,4,6,9],[3,4,7,8],[3,4,8,9],[3,5,6,7],[3,5,7,9],[3,7,8,9],[4,5,6,8],[4,5,7,9],[4,5,8,9],[4,6,7,9],[5,6,7,8],[6,7,8,9]] 2412_25=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,8],[1,4,7,8],[1,5,6,9],[1,5,7,8],[1,5,8,9],[1,6,8,9],[2,3,4,7],[2,3,5,9],[2,3,6,7],[2,3,6,9],[2,4,5,8],[2,4,6,7],[2,4,6,8],[2,5,6,8],[2,5,6,9],[3,4,6,9],[3,4,7,8],[3,4,8,9],[3,5,6,7],[3,5,7,9],[3,7,8,9],[4,5,7,9],[4,5,8,9],[4,6,7,9],[5,6,7,8],[6,7,8,9]] 2412_26=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,8],[1,4,7,8],[1,5,6,9],[1,5,7,8],[1,5,8,9],[1,6,8,9],[2,3,4,7],[2,3,5,9],[2,3,6,7],[2,3,6,9],[2,4,5,8],[2,4,7,9],[2,4,8,9],[2,5,7,8],[2,5,7,9],[2,6,7,8],[2,6,8,9],[3,4,6,9],[3,4,7,8],[3,4,8,9],[3,5,6,8],[3,5,8,9],[3,6,7,8],[4,5,6,8],[4,5,6,9],[4,5,7,9]] 2412_27=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,8],[1,4,7,8],[1,5,6,9],[1,5,7,8],[1,5,8,9],[1,6,8,9],[2,3,4,7],[2,3,5,9],[2,3,6,8],[2,3,6,9],[2,3,7,8],[2,4,5,8],[2,4,7,9],[2,4,8,9],[2,5,7,8],[2,5,7,9],[2,6,8,9],[3,4,5,7],[3,4,5,8],[3,4,6,8],[3,5,6,7],[3,5,8,9],[3,6,7,9],[3,7,8,9],[4,7,8,9],[5,6,7,9]] 2412_28=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,8],[1,4,7,8],[1,5,6,9],[1,5,7,8],[1,5,8,9],[1,6,8,9],[2,3,4,7],[2,3,5,9],[2,3,6,8],[2,3,6,9],[2,3,7,8],[2,4,5,8],[2,4,7,9],[2,4,8,9],[2,5,7,8],[2,5,7,9],[2,6,8,9],[3,4,6,9],[3,4,7,8],[3,4,8,9],[3,5,6,8],[3,5,8,9],[4,5,6,7],[4,5,6,8],[4,6,7,9],[5,6,7,9]] 2412_29=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,8],[1,4,7,8],[1,5,6,9],[1,5,7,8],[1,5,8,9],[1,6,8,9],[2,3,4,7],[2,3,5,9],[2,3,6,8],[2,3,6,9],[2,3,7,8],[2,4,5,8],[2,4,7,9],[2,4,8,9],[2,5,7,8],[2,5,7,9],[2,6,8,9],[3,4,6,9],[3,4,7,8],[3,4,8,9],[3,5,6,8],[3,5,8,9],[4,5,6,8],[4,5,6,9],[4,5,7,9]] 2412_30=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],[1,4,6,8],[1,4,7,8],[1,5,6,9],[1,5,7,8],[1,5,8,9],[1,6,8,9],[2,3,4,7],[2,3,5,9],[2,3,6,8],[2,3,6,9],[2,3,7,8],[2,4,5,9],[2,4,6,7],[2,4,6,8],[2,4,8,9],[2,6,7,9],[2,7,8,9],[3,4,6,9],[3,4,7,8],[3,4,8,9],[3,5,6,8],[3,5,8,9],[4,5,6,7],[4,5,6,9],[5,6,7,8],[6,7,8,9]] 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