Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 18, 39, 27, 81 ]
23
[ "18*39=702", "702-81=621", "621/27=23" ]
Current State: 23:[18, 39, 27, 81], Operations: [] Exploring Operation: 18*39=702, Resulting Numbers: [27, 81, 702] Generated Node #2: [27, 81, 702] from Operation: 18*39=702 Current State: 23:[27, 81, 702], Operations: ['18*39=702'] Exploring Operation: 702-81=621, Resulting Numbers: [27, 621] Generated Node #3: [27, 621] from Operation: 702-81=621 Current State: 23:[27, 621], Operations: ['18*39=702', '702-81=621'] Exploring Operation: 621/27=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 2, 46, 25, 54 ]
48
[ "2+25=27", "54/27=2", "46+2=48" ]
Current State: 48:[2, 46, 25, 54], Operations: [] Exploring Operation: 2+25=27, Resulting Numbers: [46, 54, 27] Generated Node #2: [46, 54, 27] from Operation: 2+25=27 Current State: 48:[46, 54, 27], Operations: ['2+25=27'] Exploring Operation: 54/27=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 54/27=2 Current State: 48:[46, 2], Operations: ['2+25=27', '54/27=2'] Exploring Operation: 46+2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 84, 30, 42, 63 ]
22
[ "30*63=1890", "1890-42=1848", "1848/84=22" ]
Current State: 22:[84, 30, 42, 63], Operations: [] Exploring Operation: 30*63=1890, Resulting Numbers: [84, 42, 1890] Generated Node #2: [84, 42, 1890] from Operation: 30*63=1890 Current State: 22:[84, 42, 1890], Operations: ['30*63=1890'] Exploring Operation: 1890-42=1848, Resulting Numbers: [84, 1848] Generated Node #3: [84, 1848] from Operation: 1890-42=1848 Current State: 22:[84, 1848], Operations: ['30*63=1890', '1890-42=1848'] Exploring Operation: 1848/84=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 38, 63, 4, 67 ]
54
[ "67-63=4", "4*4=16", "38+16=54" ]
Current State: 54:[38, 63, 4, 67], Operations: [] Exploring Operation: 67-63=4, Resulting Numbers: [38, 4, 4] Generated Node #2: [38, 4, 4] from Operation: 67-63=4 Current State: 54:[38, 4, 4], Operations: ['67-63=4'] Exploring Operation: 4*4=16, Resulting Numbers: [38, 16] Generated Node #3: [38, 16] from Operation: 4*4=16 Current State: 54:[38, 16], Operations: ['67-63=4', '4*4=16'] Exploring Operation: 38+16=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 2, 84, 4, 7 ]
74
[ "2*7=14", "84+4=88", "88-14=74" ]
Current State: 74:[2, 84, 4, 7], Operations: [] Exploring Operation: 2*7=14, Resulting Numbers: [84, 4, 14] Generated Node #2: [84, 4, 14] from Operation: 2*7=14 Current State: 74:[84, 4, 14], Operations: ['2*7=14'] Exploring Operation: 84+4=88, Resulting Numbers: [14, 88] Generated Node #3: [14, 88] from Operation: 84+4=88 Current State: 74:[14, 88], Operations: ['2*7=14', '84+4=88'] Exploring Operation: 88-14=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 14, 91, 22, 67 ]
76
[ "91*22=2002", "2002/14=143", "143-67=76" ]
Current State: 76:[14, 91, 22, 67], Operations: [] Exploring Operation: 91*22=2002, Resulting Numbers: [14, 67, 2002] Generated Node #2: [14, 67, 2002] from Operation: 91*22=2002 Current State: 76:[14, 67, 2002], Operations: ['91*22=2002'] Exploring Operation: 2002/14=143, Resulting Numbers: [67, 143] Generated Node #3: [67, 143] from Operation: 2002/14=143 Current State: 76:[67, 143], Operations: ['91*22=2002', '2002/14=143'] Exploring Operation: 143-67=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 94, 38, 61, 43 ]
31
[ "94+61=155", "43-38=5", "155/5=31" ]
Current State: 31:[94, 38, 61, 43], Operations: [] Exploring Operation: 94+61=155, Resulting Numbers: [38, 43, 155] Generated Node #2: [38, 43, 155] from Operation: 94+61=155 Current State: 31:[38, 43, 155], Operations: ['94+61=155'] Exploring Operation: 43-38=5, Resulting Numbers: [155, 5] Generated Node #3: [155, 5] from Operation: 43-38=5 Current State: 31:[155, 5], Operations: ['94+61=155', '43-38=5'] Exploring Operation: 155/5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 77, 53, 91, 34 ]
81
[ "77-53=24", "91-34=57", "24+57=81" ]
Current State: 81:[77, 53, 91, 34], Operations: [] Exploring Operation: 77-53=24, Resulting Numbers: [91, 34, 24] Generated Node #2: [91, 34, 24] from Operation: 77-53=24 Current State: 81:[91, 34, 24], Operations: ['77-53=24'] Exploring Operation: 91-34=57, Resulting Numbers: [24, 57] Generated Node #3: [24, 57] from Operation: 91-34=57 Current State: 81:[24, 57], Operations: ['77-53=24', '91-34=57'] Exploring Operation: 24+57=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 98, 36, 24, 84 ]
70
[ "36+24=60", "98*60=5880", "5880/84=70" ]
Current State: 70:[98, 36, 24, 84], Operations: [] Exploring Operation: 36+24=60, Resulting Numbers: [98, 84, 60] Generated Node #2: [98, 84, 60] from Operation: 36+24=60 Current State: 70:[98, 84, 60], Operations: ['36+24=60'] Exploring Operation: 98*60=5880, Resulting Numbers: [84, 5880] Generated Node #3: [84, 5880] from Operation: 98*60=5880 Current State: 70:[84, 5880], Operations: ['36+24=60', '98*60=5880'] Exploring Operation: 5880/84=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 58, 58, 3, 20 ]
93
[ "58+58=116", "3+20=23", "116-23=93" ]
Current State: 93:[58, 58, 3, 20], Operations: [] Exploring Operation: 58+58=116, Resulting Numbers: [3, 20, 116] Generated Node #2: [3, 20, 116] from Operation: 58+58=116 Current State: 93:[3, 20, 116], Operations: ['58+58=116'] Exploring Operation: 3+20=23, Resulting Numbers: [116, 23] Generated Node #3: [116, 23] from Operation: 3+20=23 Current State: 93:[116, 23], Operations: ['58+58=116', '3+20=23'] Exploring Operation: 116-23=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 90, 53, 19, 23 ]
94
[ "53+23=76", "76/19=4", "90+4=94" ]
Current State: 94:[90, 53, 19, 23], Operations: [] Exploring Operation: 53+23=76, Resulting Numbers: [90, 19, 76] Generated Node #2: [90, 19, 76] from Operation: 53+23=76 Current State: 94:[90, 19, 76], Operations: ['53+23=76'] Exploring Operation: 76/19=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 76/19=4 Current State: 94:[90, 4], Operations: ['53+23=76', '76/19=4'] Exploring Operation: 90+4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 38, 88, 48, 92 ]
76
[ "38*88=3344", "92-48=44", "3344/44=76" ]
Current State: 76:[38, 88, 48, 92], Operations: [] Exploring Operation: 38*88=3344, Resulting Numbers: [48, 92, 3344] Generated Node #2: [48, 92, 3344] from Operation: 38*88=3344 Current State: 76:[48, 92, 3344], Operations: ['38*88=3344'] Exploring Operation: 92-48=44, Resulting Numbers: [3344, 44] Generated Node #3: [3344, 44] from Operation: 92-48=44 Current State: 76:[3344, 44], Operations: ['38*88=3344', '92-48=44'] Exploring Operation: 3344/44=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 34, 8, 76, 79 ]
10
[ "79-76=3", "8*3=24", "34-24=10" ]
Current State: 10:[34, 8, 76, 79], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [34, 8, 3] Generated Node #2: [34, 8, 3] from Operation: 79-76=3 Current State: 10:[34, 8, 3], Operations: ['79-76=3'] Exploring Operation: 8*3=24, Resulting Numbers: [34, 24] Generated Node #3: [34, 24] from Operation: 8*3=24 Current State: 10:[34, 24], Operations: ['79-76=3', '8*3=24'] Exploring Operation: 34-24=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 2, 92, 11, 23 ]
93
[ "2*11=22", "92+23=115", "115-22=93" ]
Current State: 93:[2, 92, 11, 23], Operations: [] Exploring Operation: 2*11=22, Resulting Numbers: [92, 23, 22] Generated Node #2: [92, 23, 22] from Operation: 2*11=22 Current State: 93:[92, 23, 22], Operations: ['2*11=22'] Exploring Operation: 92+23=115, Resulting Numbers: [22, 115] Generated Node #3: [22, 115] from Operation: 92+23=115 Current State: 93:[22, 115], Operations: ['2*11=22', '92+23=115'] Exploring Operation: 115-22=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 73, 27, 6, 3 ]
37
[ "73-27=46", "6+3=9", "46-9=37" ]
Current State: 37:[73, 27, 6, 3], Operations: [] Exploring Operation: 73-27=46, Resulting Numbers: [6, 3, 46] Generated Node #2: [6, 3, 46] from Operation: 73-27=46 Current State: 37:[6, 3, 46], Operations: ['73-27=46'] Exploring Operation: 6+3=9, Resulting Numbers: [46, 9] Generated Node #3: [46, 9] from Operation: 6+3=9 Current State: 37:[46, 9], Operations: ['73-27=46', '6+3=9'] Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 3, 9, 95, 59 ]
30
[ "9-3=6", "95-59=36", "36-6=30" ]
Current State: 30:[3, 9, 95, 59], Operations: [] Exploring Operation: 9-3=6, Resulting Numbers: [95, 59, 6] Generated Node #2: [95, 59, 6] from Operation: 9-3=6 Current State: 30:[95, 59, 6], Operations: ['9-3=6'] Exploring Operation: 95-59=36, Resulting Numbers: [6, 36] Generated Node #3: [6, 36] from Operation: 95-59=36 Current State: 30:[6, 36], Operations: ['9-3=6', '95-59=36'] Exploring Operation: 36-6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 47, 57, 9, 28 ]
59
[ "47+9=56", "56/28=2", "57+2=59" ]
Current State: 59:[47, 57, 9, 28], Operations: [] Exploring Operation: 47+9=56, Resulting Numbers: [57, 28, 56] Generated Node #2: [57, 28, 56] from Operation: 47+9=56 Current State: 59:[57, 28, 56], Operations: ['47+9=56'] Exploring Operation: 56/28=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 56/28=2 Current State: 59:[57, 2], Operations: ['47+9=56', '56/28=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 83, 90, 48, 84 ]
75
[ "90-84=6", "48/6=8", "83-8=75" ]
Current State: 75:[83, 90, 48, 84], Operations: [] Exploring Operation: 90-84=6, Resulting Numbers: [83, 48, 6] Generated Node #2: [83, 48, 6] from Operation: 90-84=6 Current State: 75:[83, 48, 6], Operations: ['90-84=6'] Exploring Operation: 48/6=8, Resulting Numbers: [83, 8] Generated Node #3: [83, 8] from Operation: 48/6=8 Current State: 75:[83, 8], Operations: ['90-84=6', '48/6=8'] Exploring Operation: 83-8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 89, 39, 84, 95 ]
58
[ "89-84=5", "95/5=19", "39+19=58" ]
Current State: 58:[89, 39, 84, 95], Operations: [] Exploring Operation: 89-84=5, Resulting Numbers: [39, 95, 5] Generated Node #2: [39, 95, 5] from Operation: 89-84=5 Current State: 58:[39, 95, 5], Operations: ['89-84=5'] Exploring Operation: 95/5=19, Resulting Numbers: [39, 19] Generated Node #3: [39, 19] from Operation: 95/5=19 Current State: 58:[39, 19], Operations: ['89-84=5', '95/5=19'] Exploring Operation: 39+19=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 69, 63, 33, 21 ]
56
[ "69*21=1449", "1449/63=23", "33+23=56" ]
Current State: 56:[69, 63, 33, 21], Operations: [] Exploring Operation: 69*21=1449, Resulting Numbers: [63, 33, 1449] Generated Node #2: [63, 33, 1449] from Operation: 69*21=1449 Current State: 56:[63, 33, 1449], Operations: ['69*21=1449'] Exploring Operation: 1449/63=23, Resulting Numbers: [33, 23] Generated Node #3: [33, 23] from Operation: 1449/63=23 Current State: 56:[33, 23], Operations: ['69*21=1449', '1449/63=23'] Exploring Operation: 33+23=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 40, 65, 62, 77 ]
40
[ "65-40=25", "77-62=15", "25+15=40" ]
Current State: 40:[40, 65, 62, 77], Operations: [] Exploring Operation: 65-40=25, Resulting Numbers: [62, 77, 25] Generated Node #2: [62, 77, 25] from Operation: 65-40=25 Current State: 40:[62, 77, 25], Operations: ['65-40=25'] Exploring Operation: 77-62=15, Resulting Numbers: [25, 15] Generated Node #3: [25, 15] from Operation: 77-62=15 Current State: 40:[25, 15], Operations: ['65-40=25', '77-62=15'] Exploring Operation: 25+15=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 20, 32, 32, 48 ]
64
[ "20*48=960", "32*32=1024", "1024-960=64" ]
Current State: 64:[20, 32, 32, 48], Operations: [] Exploring Operation: 20*48=960, Resulting Numbers: [32, 32, 960] Generated Node #2: [32, 32, 960] from Operation: 20*48=960 Current State: 64:[32, 32, 960], Operations: ['20*48=960'] Exploring Operation: 32*32=1024, Resulting Numbers: [960, 1024] Generated Node #3: [960, 1024] from Operation: 32*32=1024 Current State: 64:[960, 1024], Operations: ['20*48=960', '32*32=1024'] Exploring Operation: 1024-960=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 30, 21, 28, 50 ]
29
[ "30+21=51", "50-28=22", "51-22=29" ]
Current State: 29:[30, 21, 28, 50], Operations: [] Exploring Operation: 30+21=51, Resulting Numbers: [28, 50, 51] Generated Node #2: [28, 50, 51] from Operation: 30+21=51 Current State: 29:[28, 50, 51], Operations: ['30+21=51'] Exploring Operation: 50-28=22, Resulting Numbers: [51, 22] Generated Node #3: [51, 22] from Operation: 50-28=22 Current State: 29:[51, 22], Operations: ['30+21=51', '50-28=22'] Exploring Operation: 51-22=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 62, 17, 22, 28 ]
31
[ "28-17=11", "62*11=682", "682/22=31" ]
Current State: 31:[62, 17, 22, 28], Operations: [] Exploring Operation: 28-17=11, Resulting Numbers: [62, 22, 11] Generated Node #2: [62, 22, 11] from Operation: 28-17=11 Current State: 31:[62, 22, 11], Operations: ['28-17=11'] Exploring Operation: 62*11=682, Resulting Numbers: [22, 682] Generated Node #3: [22, 682] from Operation: 62*11=682 Current State: 31:[22, 682], Operations: ['28-17=11', '62*11=682'] Exploring Operation: 682/22=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 88, 68, 23, 17 ]
69
[ "88-68=20", "20-17=3", "23*3=69" ]
Current State: 69:[88, 68, 23, 17], Operations: [] Exploring Operation: 88-68=20, Resulting Numbers: [23, 17, 20] Generated Node #2: [23, 17, 20] from Operation: 88-68=20 Current State: 69:[23, 17, 20], Operations: ['88-68=20'] Exploring Operation: 20-17=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 20-17=3 Current State: 69:[23, 3], Operations: ['88-68=20', '20-17=3'] Exploring Operation: 23*3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 87, 5, 4, 17 ]
56
[ "87-17=70", "70/5=14", "4*14=56" ]
Current State: 56:[87, 5, 4, 17], Operations: [] Exploring Operation: 87-17=70, Resulting Numbers: [5, 4, 70] Generated Node #2: [5, 4, 70] from Operation: 87-17=70 Current State: 56:[5, 4, 70], Operations: ['87-17=70'] Exploring Operation: 70/5=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 70/5=14 Current State: 56:[4, 14], Operations: ['87-17=70', '70/5=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 60, 74, 49, 70 ]
34
[ "74-70=4", "60/4=15", "49-15=34" ]
Current State: 34:[60, 74, 49, 70], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [60, 49, 4] Generated Node #2: [60, 49, 4] from Operation: 74-70=4 Current State: 34:[60, 49, 4], Operations: ['74-70=4'] Exploring Operation: 60/4=15, Resulting Numbers: [49, 15] Generated Node #3: [49, 15] from Operation: 60/4=15 Current State: 34:[49, 15], Operations: ['74-70=4', '60/4=15'] Exploring Operation: 49-15=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 39, 59, 16, 31 ]
57
[ "39-31=8", "16/8=2", "59-2=57" ]
Current State: 57:[39, 59, 16, 31], Operations: [] Exploring Operation: 39-31=8, Resulting Numbers: [59, 16, 8] Generated Node #2: [59, 16, 8] from Operation: 39-31=8 Current State: 57:[59, 16, 8], Operations: ['39-31=8'] Exploring Operation: 16/8=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 16/8=2 Current State: 57:[59, 2], Operations: ['39-31=8', '16/8=2'] Exploring Operation: 59-2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 83, 9, 44, 73 ]
25
[ "83+9=92", "44+73=117", "117-92=25" ]
Current State: 25:[83, 9, 44, 73], Operations: [] Exploring Operation: 83+9=92, Resulting Numbers: [44, 73, 92] Generated Node #2: [44, 73, 92] from Operation: 83+9=92 Current State: 25:[44, 73, 92], Operations: ['83+9=92'] Exploring Operation: 44+73=117, Resulting Numbers: [92, 117] Generated Node #3: [92, 117] from Operation: 44+73=117 Current State: 25:[92, 117], Operations: ['83+9=92', '44+73=117'] Exploring Operation: 117-92=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 17, 73, 76, 84 ]
70
[ "17+73=90", "76+84=160", "160-90=70" ]
Current State: 70:[17, 73, 76, 84], Operations: [] Exploring Operation: 17+73=90, Resulting Numbers: [76, 84, 90] Generated Node #2: [76, 84, 90] from Operation: 17+73=90 Current State: 70:[76, 84, 90], Operations: ['17+73=90'] Exploring Operation: 76+84=160, Resulting Numbers: [90, 160] Generated Node #3: [90, 160] from Operation: 76+84=160 Current State: 70:[90, 160], Operations: ['17+73=90', '76+84=160'] Exploring Operation: 160-90=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 30, 92, 43, 34 ]
45
[ "30+92=122", "43+34=77", "122-77=45" ]
Current State: 45:[30, 92, 43, 34], Operations: [] Exploring Operation: 30+92=122, Resulting Numbers: [43, 34, 122] Generated Node #2: [43, 34, 122] from Operation: 30+92=122 Current State: 45:[43, 34, 122], Operations: ['30+92=122'] Exploring Operation: 43+34=77, Resulting Numbers: [122, 77] Generated Node #3: [122, 77] from Operation: 43+34=77 Current State: 45:[122, 77], Operations: ['30+92=122', '43+34=77'] Exploring Operation: 122-77=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 69, 52, 76, 82 ]
19
[ "82-69=13", "52/13=4", "76/4=19" ]
Current State: 19:[69, 52, 76, 82], Operations: [] Exploring Operation: 82-69=13, Resulting Numbers: [52, 76, 13] Generated Node #2: [52, 76, 13] from Operation: 82-69=13 Current State: 19:[52, 76, 13], Operations: ['82-69=13'] Exploring Operation: 52/13=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 52/13=4 Current State: 19:[76, 4], Operations: ['82-69=13', '52/13=4'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 19, 82, 33, 3 ]
99
[ "82-19=63", "33+3=36", "63+36=99" ]
Current State: 99:[19, 82, 33, 3], Operations: [] Exploring Operation: 82-19=63, Resulting Numbers: [33, 3, 63] Generated Node #2: [33, 3, 63] from Operation: 82-19=63 Current State: 99:[33, 3, 63], Operations: ['82-19=63'] Exploring Operation: 33+3=36, Resulting Numbers: [63, 36] Generated Node #3: [63, 36] from Operation: 33+3=36 Current State: 99:[63, 36], Operations: ['82-19=63', '33+3=36'] Exploring Operation: 63+36=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 20, 69, 96, 62 ]
15
[ "69-20=49", "96-62=34", "49-34=15" ]
Current State: 15:[20, 69, 96, 62], Operations: [] Exploring Operation: 69-20=49, Resulting Numbers: [96, 62, 49] Generated Node #2: [96, 62, 49] from Operation: 69-20=49 Current State: 15:[96, 62, 49], Operations: ['69-20=49'] Exploring Operation: 96-62=34, Resulting Numbers: [49, 34] Generated Node #3: [49, 34] from Operation: 96-62=34 Current State: 15:[49, 34], Operations: ['69-20=49', '96-62=34'] Exploring Operation: 49-34=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 46, 2, 88, 11 ]
51
[ "46+2=48", "88+11=99", "99-48=51" ]
Current State: 51:[46, 2, 88, 11], Operations: [] Exploring Operation: 46+2=48, Resulting Numbers: [88, 11, 48] Generated Node #2: [88, 11, 48] from Operation: 46+2=48 Current State: 51:[88, 11, 48], Operations: ['46+2=48'] Exploring Operation: 88+11=99, Resulting Numbers: [48, 99] Generated Node #3: [48, 99] from Operation: 88+11=99 Current State: 51:[48, 99], Operations: ['46+2=48', '88+11=99'] Exploring Operation: 99-48=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 26, 8, 56, 52 ]
19
[ "52-26=26", "56/8=7", "26-7=19" ]
Current State: 19:[26, 8, 56, 52], Operations: [] Exploring Operation: 52-26=26, Resulting Numbers: [8, 56, 26] Generated Node #2: [8, 56, 26] from Operation: 52-26=26 Current State: 19:[8, 56, 26], Operations: ['52-26=26'] Exploring Operation: 56/8=7, Resulting Numbers: [26, 7] Generated Node #3: [26, 7] from Operation: 56/8=7 Current State: 19:[26, 7], Operations: ['52-26=26', '56/8=7'] Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 24, 19, 32, 93 ]
14
[ "32-24=8", "19+93=112", "112/8=14" ]
Current State: 14:[24, 19, 32, 93], Operations: [] Exploring Operation: 32-24=8, Resulting Numbers: [19, 93, 8] Generated Node #2: [19, 93, 8] from Operation: 32-24=8 Current State: 14:[19, 93, 8], Operations: ['32-24=8'] Exploring Operation: 19+93=112, Resulting Numbers: [8, 112] Generated Node #3: [8, 112] from Operation: 19+93=112 Current State: 14:[8, 112], Operations: ['32-24=8', '19+93=112'] Exploring Operation: 112/8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 4, 30, 29, 42 ]
77
[ "42-30=12", "4*12=48", "29+48=77" ]
Current State: 77:[4, 30, 29, 42], Operations: [] Exploring Operation: 42-30=12, Resulting Numbers: [4, 29, 12] Generated Node #2: [4, 29, 12] from Operation: 42-30=12 Current State: 77:[4, 29, 12], Operations: ['42-30=12'] Exploring Operation: 4*12=48, Resulting Numbers: [29, 48] Generated Node #3: [29, 48] from Operation: 4*12=48 Current State: 77:[29, 48], Operations: ['42-30=12', '4*12=48'] Exploring Operation: 29+48=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 20, 47, 3, 64 ]
88
[ "47-20=27", "64-3=61", "27+61=88" ]
Current State: 88:[20, 47, 3, 64], Operations: [] Exploring Operation: 47-20=27, Resulting Numbers: [3, 64, 27] Generated Node #2: [3, 64, 27] from Operation: 47-20=27 Current State: 88:[3, 64, 27], Operations: ['47-20=27'] Exploring Operation: 64-3=61, Resulting Numbers: [27, 61] Generated Node #3: [27, 61] from Operation: 64-3=61 Current State: 88:[27, 61], Operations: ['47-20=27', '64-3=61'] Exploring Operation: 27+61=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 24, 59, 78, 6 ]
56
[ "78-6=72", "72/24=3", "59-3=56" ]
Current State: 56:[24, 59, 78, 6], Operations: [] Exploring Operation: 78-6=72, Resulting Numbers: [24, 59, 72] Generated Node #2: [24, 59, 72] from Operation: 78-6=72 Current State: 56:[24, 59, 72], Operations: ['78-6=72'] Exploring Operation: 72/24=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 72/24=3 Current State: 56:[59, 3], Operations: ['78-6=72', '72/24=3'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 34, 63, 10, 43 ]
32
[ "63-43=20", "20/10=2", "34-2=32" ]
Current State: 32:[34, 63, 10, 43], Operations: [] Exploring Operation: 63-43=20, Resulting Numbers: [34, 10, 20] Generated Node #2: [34, 10, 20] from Operation: 63-43=20 Current State: 32:[34, 10, 20], Operations: ['63-43=20'] Exploring Operation: 20/10=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 20/10=2 Current State: 32:[34, 2], Operations: ['63-43=20', '20/10=2'] Exploring Operation: 34-2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 18, 17, 34, 10 ]
92
[ "17-10=7", "18*7=126", "126-34=92" ]
Current State: 92:[18, 17, 34, 10], Operations: [] Exploring Operation: 17-10=7, Resulting Numbers: [18, 34, 7] Generated Node #2: [18, 34, 7] from Operation: 17-10=7 Current State: 92:[18, 34, 7], Operations: ['17-10=7'] Exploring Operation: 18*7=126, Resulting Numbers: [34, 126] Generated Node #3: [34, 126] from Operation: 18*7=126 Current State: 92:[34, 126], Operations: ['17-10=7', '18*7=126'] Exploring Operation: 126-34=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 77, 46, 92, 48 ]
19
[ "92/46=2", "48*2=96", "96-77=19" ]
Current State: 19:[77, 46, 92, 48], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [77, 48, 2] Generated Node #2: [77, 48, 2] from Operation: 92/46=2 Current State: 19:[77, 48, 2], Operations: ['92/46=2'] Exploring Operation: 48*2=96, Resulting Numbers: [77, 96] Generated Node #3: [77, 96] from Operation: 48*2=96 Current State: 19:[77, 96], Operations: ['92/46=2', '48*2=96'] Exploring Operation: 96-77=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 85, 55, 6, 73 ]
73
[ "85+55=140", "73-6=67", "140-67=73" ]
Current State: 73:[85, 55, 6, 73], Operations: [] Exploring Operation: 85+55=140, Resulting Numbers: [6, 73, 140] Generated Node #2: [6, 73, 140] from Operation: 85+55=140 Current State: 73:[6, 73, 140], Operations: ['85+55=140'] Exploring Operation: 73-6=67, Resulting Numbers: [140, 67] Generated Node #3: [140, 67] from Operation: 73-6=67 Current State: 73:[140, 67], Operations: ['85+55=140', '73-6=67'] Exploring Operation: 140-67=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 40, 40, 60, 83 ]
20
[ "40+40=80", "83-80=3", "60/3=20" ]
Current State: 20:[40, 40, 60, 83], Operations: [] Exploring Operation: 40+40=80, Resulting Numbers: [60, 83, 80] Generated Node #2: [60, 83, 80] from Operation: 40+40=80 Current State: 20:[60, 83, 80], Operations: ['40+40=80'] Exploring Operation: 83-80=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 83-80=3 Current State: 20:[60, 3], Operations: ['40+40=80', '83-80=3'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 11, 10, 68, 15 ]
57
[ "11*10=110", "68-15=53", "110-53=57" ]
Current State: 57:[11, 10, 68, 15], Operations: [] Exploring Operation: 11*10=110, Resulting Numbers: [68, 15, 110] Generated Node #2: [68, 15, 110] from Operation: 11*10=110 Current State: 57:[68, 15, 110], Operations: ['11*10=110'] Exploring Operation: 68-15=53, Resulting Numbers: [110, 53] Generated Node #3: [110, 53] from Operation: 68-15=53 Current State: 57:[110, 53], Operations: ['11*10=110', '68-15=53'] Exploring Operation: 110-53=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 54, 56, 81, 38 ]
84
[ "56-38=18", "54/18=3", "81+3=84" ]
Current State: 84:[54, 56, 81, 38], Operations: [] Exploring Operation: 56-38=18, Resulting Numbers: [54, 81, 18] Generated Node #2: [54, 81, 18] from Operation: 56-38=18 Current State: 84:[54, 81, 18], Operations: ['56-38=18'] Exploring Operation: 54/18=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 54/18=3 Current State: 84:[81, 3], Operations: ['56-38=18', '54/18=3'] Exploring Operation: 81+3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 59, 10, 1, 56 ]
40
[ "59+1=60", "60-56=4", "10*4=40" ]
Current State: 40:[59, 10, 1, 56], Operations: [] Exploring Operation: 59+1=60, Resulting Numbers: [10, 56, 60] Generated Node #2: [10, 56, 60] from Operation: 59+1=60 Current State: 40:[10, 56, 60], Operations: ['59+1=60'] Exploring Operation: 60-56=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 60-56=4 Current State: 40:[10, 4], Operations: ['59+1=60', '60-56=4'] Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 11, 41, 14, 8 ]
30
[ "11+41=52", "14+8=22", "52-22=30" ]
Current State: 30:[11, 41, 14, 8], Operations: [] Exploring Operation: 11+41=52, Resulting Numbers: [14, 8, 52] Generated Node #2: [14, 8, 52] from Operation: 11+41=52 Current State: 30:[14, 8, 52], Operations: ['11+41=52'] Exploring Operation: 14+8=22, Resulting Numbers: [52, 22] Generated Node #3: [52, 22] from Operation: 14+8=22 Current State: 30:[52, 22], Operations: ['11+41=52', '14+8=22'] Exploring Operation: 52-22=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 48, 90, 70, 48 ]
20
[ "48+90=138", "70+48=118", "138-118=20" ]
Current State: 20:[48, 90, 70, 48], Operations: [] Exploring Operation: 48+90=138, Resulting Numbers: [70, 138] Generated Node #2: [70, 138] from Operation: 48+90=138 Current State: 20:[70, 138], Operations: ['48+90=138'] Exploring Operation: 70+48=118, Resulting Numbers: [138, 118] Generated Node #3: [138, 118] from Operation: 70+48=118 Current State: 20:[138, 118], Operations: ['48+90=138', '70+48=118'] Exploring Operation: 138-118=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 10, 45, 12, 52 ]
99
[ "45-10=35", "12+52=64", "35+64=99" ]
Current State: 99:[10, 45, 12, 52], Operations: [] Exploring Operation: 45-10=35, Resulting Numbers: [12, 52, 35] Generated Node #2: [12, 52, 35] from Operation: 45-10=35 Current State: 99:[12, 52, 35], Operations: ['45-10=35'] Exploring Operation: 12+52=64, Resulting Numbers: [35, 64] Generated Node #3: [35, 64] from Operation: 12+52=64 Current State: 99:[35, 64], Operations: ['45-10=35', '12+52=64'] Exploring Operation: 35+64=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 69, 69, 35, 64 ]
76
[ "69-64=5", "35/5=7", "69+7=76" ]
Current State: 76:[69, 69, 35, 64], Operations: [] Exploring Operation: 69-64=5, Resulting Numbers: [35, 5] Generated Node #2: [35, 5] from Operation: 69-64=5 Current State: 76:[35, 5], Operations: ['69-64=5'] Exploring Operation: 35/5=7, Resulting Numbers: [7] 7,76 equal: Goal Reached Exploring Operation: 69+7=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 98, 48, 61, 59 ]
73
[ "98+48=146", "61-59=2", "146/2=73" ]
Current State: 73:[98, 48, 61, 59], Operations: [] Exploring Operation: 98+48=146, Resulting Numbers: [61, 59, 146] Generated Node #2: [61, 59, 146] from Operation: 98+48=146 Current State: 73:[61, 59, 146], Operations: ['98+48=146'] Exploring Operation: 61-59=2, Resulting Numbers: [146, 2] Generated Node #3: [146, 2] from Operation: 61-59=2 Current State: 73:[146, 2], Operations: ['98+48=146', '61-59=2'] Exploring Operation: 146/2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 33, 80, 83, 40 ]
64
[ "83-33=50", "80*40=3200", "3200/50=64" ]
Current State: 64:[33, 80, 83, 40], Operations: [] Exploring Operation: 83-33=50, Resulting Numbers: [80, 40, 50] Generated Node #2: [80, 40, 50] from Operation: 83-33=50 Current State: 64:[80, 40, 50], Operations: ['83-33=50'] Exploring Operation: 80*40=3200, Resulting Numbers: [50, 3200] Generated Node #3: [50, 3200] from Operation: 80*40=3200 Current State: 64:[50, 3200], Operations: ['83-33=50', '80*40=3200'] Exploring Operation: 3200/50=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 90, 90, 25, 57 ]
83
[ "90/90=1", "25+57=82", "1+82=83" ]
Current State: 83:[90, 90, 25, 57], Operations: [] Exploring Operation: 90/90=1, Resulting Numbers: [25, 57, 1] Generated Node #2: [25, 57, 1] from Operation: 90/90=1 Current State: 83:[25, 57, 1], Operations: ['90/90=1'] Exploring Operation: 25+57=82, Resulting Numbers: [1, 82] Generated Node #3: [1, 82] from Operation: 25+57=82 Current State: 83:[1, 82], Operations: ['90/90=1', '25+57=82'] Exploring Operation: 1+82=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 65, 22, 98, 60 ]
40
[ "98-65=33", "22*60=1320", "1320/33=40" ]
Current State: 40:[65, 22, 98, 60], Operations: [] Exploring Operation: 98-65=33, Resulting Numbers: [22, 60, 33] Generated Node #2: [22, 60, 33] from Operation: 98-65=33 Current State: 40:[22, 60, 33], Operations: ['98-65=33'] Exploring Operation: 22*60=1320, Resulting Numbers: [33, 1320] Generated Node #3: [33, 1320] from Operation: 22*60=1320 Current State: 40:[33, 1320], Operations: ['98-65=33', '22*60=1320'] Exploring Operation: 1320/33=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 87, 7, 18, 75 ]
16
[ "87+75=162", "162/18=9", "7+9=16" ]
Current State: 16:[87, 7, 18, 75], Operations: [] Exploring Operation: 87+75=162, Resulting Numbers: [7, 18, 162] Generated Node #2: [7, 18, 162] from Operation: 87+75=162 Current State: 16:[7, 18, 162], Operations: ['87+75=162'] Exploring Operation: 162/18=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 162/18=9 Current State: 16:[7, 9], Operations: ['87+75=162', '162/18=9'] Exploring Operation: 7+9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 19, 98, 30, 95 ]
52
[ "19+98=117", "95-30=65", "117-65=52" ]
Current State: 52:[19, 98, 30, 95], Operations: [] Exploring Operation: 19+98=117, Resulting Numbers: [30, 95, 117] Generated Node #2: [30, 95, 117] from Operation: 19+98=117 Current State: 52:[30, 95, 117], Operations: ['19+98=117'] Exploring Operation: 95-30=65, Resulting Numbers: [117, 65] Generated Node #3: [117, 65] from Operation: 95-30=65 Current State: 52:[117, 65], Operations: ['19+98=117', '95-30=65'] Exploring Operation: 117-65=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 75, 2, 94, 50 ]
44
[ "94-75=19", "50/2=25", "19+25=44" ]
Current State: 44:[75, 2, 94, 50], Operations: [] Exploring Operation: 94-75=19, Resulting Numbers: [2, 50, 19] Generated Node #2: [2, 50, 19] from Operation: 94-75=19 Current State: 44:[2, 50, 19], Operations: ['94-75=19'] Exploring Operation: 50/2=25, Resulting Numbers: [19, 25] Generated Node #3: [19, 25] from Operation: 50/2=25 Current State: 44:[19, 25], Operations: ['94-75=19', '50/2=25'] Exploring Operation: 19+25=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 8, 43, 96, 72 ]
40
[ "96-72=24", "24/8=3", "43-3=40" ]
Current State: 40:[8, 43, 96, 72], Operations: [] Exploring Operation: 96-72=24, Resulting Numbers: [8, 43, 24] Generated Node #2: [8, 43, 24] from Operation: 96-72=24 Current State: 40:[8, 43, 24], Operations: ['96-72=24'] Exploring Operation: 24/8=3, Resulting Numbers: [43, 3] Generated Node #3: [43, 3] from Operation: 24/8=3 Current State: 40:[43, 3], Operations: ['96-72=24', '24/8=3'] Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 59, 87, 66, 85 ]
47
[ "87-59=28", "85-66=19", "28+19=47" ]
Current State: 47:[59, 87, 66, 85], Operations: [] Exploring Operation: 87-59=28, Resulting Numbers: [66, 85, 28] Generated Node #2: [66, 85, 28] from Operation: 87-59=28 Current State: 47:[66, 85, 28], Operations: ['87-59=28'] Exploring Operation: 85-66=19, Resulting Numbers: [28, 19] Generated Node #3: [28, 19] from Operation: 85-66=19 Current State: 47:[28, 19], Operations: ['87-59=28', '85-66=19'] Exploring Operation: 28+19=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 5, 54, 35, 10 ]
17
[ "10/5=2", "54-35=19", "19-2=17" ]
Current State: 17:[5, 54, 35, 10], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [54, 35, 2] Generated Node #2: [54, 35, 2] from Operation: 10/5=2 Current State: 17:[54, 35, 2], Operations: ['10/5=2'] Exploring Operation: 54-35=19, Resulting Numbers: [2, 19] Generated Node #3: [2, 19] from Operation: 54-35=19 Current State: 17:[2, 19], Operations: ['10/5=2', '54-35=19'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 64, 68, 49, 83 ]
33
[ "68-64=4", "49+83=132", "132/4=33" ]
Current State: 33:[64, 68, 49, 83], Operations: [] Exploring Operation: 68-64=4, Resulting Numbers: [49, 83, 4] Generated Node #2: [49, 83, 4] from Operation: 68-64=4 Current State: 33:[49, 83, 4], Operations: ['68-64=4'] Exploring Operation: 49+83=132, Resulting Numbers: [4, 132] Generated Node #3: [4, 132] from Operation: 49+83=132 Current State: 33:[4, 132], Operations: ['68-64=4', '49+83=132'] Exploring Operation: 132/4=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 1, 44, 33, 4 ]
36
[ "33-1=32", "32/4=8", "44-8=36" ]
Current State: 36:[1, 44, 33, 4], Operations: [] Exploring Operation: 33-1=32, Resulting Numbers: [44, 4, 32] Generated Node #2: [44, 4, 32] from Operation: 33-1=32 Current State: 36:[44, 4, 32], Operations: ['33-1=32'] Exploring Operation: 32/4=8, Resulting Numbers: [44, 8] Generated Node #3: [44, 8] from Operation: 32/4=8 Current State: 36:[44, 8], Operations: ['33-1=32', '32/4=8'] Exploring Operation: 44-8=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 57, 89, 22, 83 ]
73
[ "89-57=32", "22+83=105", "105-32=73" ]
Current State: 73:[57, 89, 22, 83], Operations: [] Exploring Operation: 89-57=32, Resulting Numbers: [22, 83, 32] Generated Node #2: [22, 83, 32] from Operation: 89-57=32 Current State: 73:[22, 83, 32], Operations: ['89-57=32'] Exploring Operation: 22+83=105, Resulting Numbers: [32, 105] Generated Node #3: [32, 105] from Operation: 22+83=105 Current State: 73:[32, 105], Operations: ['89-57=32', '22+83=105'] Exploring Operation: 105-32=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 59, 88, 76, 61 ]
64
[ "61-59=2", "76*2=152", "152-88=64" ]
Current State: 64:[59, 88, 76, 61], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [88, 76, 2] Generated Node #2: [88, 76, 2] from Operation: 61-59=2 Current State: 64:[88, 76, 2], Operations: ['61-59=2'] Exploring Operation: 76*2=152, Resulting Numbers: [88, 152] Generated Node #3: [88, 152] from Operation: 76*2=152 Current State: 64:[88, 152], Operations: ['61-59=2', '76*2=152'] Exploring Operation: 152-88=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 63, 42, 51, 26 ]
46
[ "63-42=21", "51-26=25", "21+25=46" ]
Current State: 46:[63, 42, 51, 26], Operations: [] Exploring Operation: 63-42=21, Resulting Numbers: [51, 26, 21] Generated Node #2: [51, 26, 21] from Operation: 63-42=21 Current State: 46:[51, 26, 21], Operations: ['63-42=21'] Exploring Operation: 51-26=25, Resulting Numbers: [21, 25] Generated Node #3: [21, 25] from Operation: 51-26=25 Current State: 46:[21, 25], Operations: ['63-42=21', '51-26=25'] Exploring Operation: 21+25=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 66, 77, 27, 2 ]
76
[ "77-66=11", "27+11=38", "2*38=76" ]
Current State: 76:[66, 77, 27, 2], Operations: [] Exploring Operation: 77-66=11, Resulting Numbers: [27, 2, 11] Generated Node #2: [27, 2, 11] from Operation: 77-66=11 Current State: 76:[27, 2, 11], Operations: ['77-66=11'] Exploring Operation: 27+11=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 27+11=38 Current State: 76:[2, 38], Operations: ['77-66=11', '27+11=38'] Exploring Operation: 2*38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 94, 78, 19, 16 ]
68
[ "19-16=3", "78/3=26", "94-26=68" ]
Current State: 68:[94, 78, 19, 16], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [94, 78, 3] Generated Node #2: [94, 78, 3] from Operation: 19-16=3 Current State: 68:[94, 78, 3], Operations: ['19-16=3'] Exploring Operation: 78/3=26, Resulting Numbers: [94, 26] Generated Node #3: [94, 26] from Operation: 78/3=26 Current State: 68:[94, 26], Operations: ['19-16=3', '78/3=26'] Exploring Operation: 94-26=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 22, 85, 6, 24 ]
82
[ "24-22=2", "6/2=3", "85-3=82" ]
Current State: 82:[22, 85, 6, 24], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [85, 6, 2] Generated Node #2: [85, 6, 2] from Operation: 24-22=2 Current State: 82:[85, 6, 2], Operations: ['24-22=2'] Exploring Operation: 6/2=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 6/2=3 Current State: 82:[85, 3], Operations: ['24-22=2', '6/2=3'] Exploring Operation: 85-3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 12, 55, 49, 19 ]
38
[ "12*19=228", "55-49=6", "228/6=38" ]
Current State: 38:[12, 55, 49, 19], Operations: [] Exploring Operation: 12*19=228, Resulting Numbers: [55, 49, 228] Generated Node #2: [55, 49, 228] from Operation: 12*19=228 Current State: 38:[55, 49, 228], Operations: ['12*19=228'] Exploring Operation: 55-49=6, Resulting Numbers: [228, 6] Generated Node #3: [228, 6] from Operation: 55-49=6 Current State: 38:[228, 6], Operations: ['12*19=228', '55-49=6'] Exploring Operation: 228/6=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 12, 85, 4, 55 ]
87
[ "55-12=43", "4*43=172", "172-85=87" ]
Current State: 87:[12, 85, 4, 55], Operations: [] Exploring Operation: 55-12=43, Resulting Numbers: [85, 4, 43] Generated Node #2: [85, 4, 43] from Operation: 55-12=43 Current State: 87:[85, 4, 43], Operations: ['55-12=43'] Exploring Operation: 4*43=172, Resulting Numbers: [85, 172] Generated Node #3: [85, 172] from Operation: 4*43=172 Current State: 87:[85, 172], Operations: ['55-12=43', '4*43=172'] Exploring Operation: 172-85=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 53, 25, 25, 25 ]
54
[ "53*25=1325", "25+1325=1350", "1350/25=54" ]
Current State: 54:[53, 25, 25, 25], Operations: [] Exploring Operation: 53*25=1325, Resulting Numbers: [1325] 1325,54 equal: Goal Reached Exploring Operation: 25+1325=1350, Resulting Numbers: [1350] 1350,54 equal: Goal Reached Exploring Operation: 1350/25=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 19, 55, 43, 11 ]
96
[ "19-11=8", "55-43=12", "8*12=96" ]
Current State: 96:[19, 55, 43, 11], Operations: [] Exploring Operation: 19-11=8, Resulting Numbers: [55, 43, 8] Generated Node #2: [55, 43, 8] from Operation: 19-11=8 Current State: 96:[55, 43, 8], Operations: ['19-11=8'] Exploring Operation: 55-43=12, Resulting Numbers: [8, 12] Generated Node #3: [8, 12] from Operation: 55-43=12 Current State: 96:[8, 12], Operations: ['19-11=8', '55-43=12'] Exploring Operation: 8*12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 2, 25, 4, 7 ]
64
[ "25-2=23", "23-7=16", "4*16=64" ]
Current State: 64:[2, 25, 4, 7], Operations: [] Exploring Operation: 25-2=23, Resulting Numbers: [4, 7, 23] Generated Node #2: [4, 7, 23] from Operation: 25-2=23 Current State: 64:[4, 7, 23], Operations: ['25-2=23'] Exploring Operation: 23-7=16, Resulting Numbers: [4, 16] Generated Node #3: [4, 16] from Operation: 23-7=16 Current State: 64:[4, 16], Operations: ['25-2=23', '23-7=16'] Exploring Operation: 4*16=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 21, 53, 47, 94 ]
76
[ "21+53=74", "94/47=2", "74+2=76" ]
Current State: 76:[21, 53, 47, 94], Operations: [] Exploring Operation: 21+53=74, Resulting Numbers: [47, 94, 74] Generated Node #2: [47, 94, 74] from Operation: 21+53=74 Current State: 76:[47, 94, 74], Operations: ['21+53=74'] Exploring Operation: 94/47=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 94/47=2 Current State: 76:[74, 2], Operations: ['21+53=74', '94/47=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 31, 26, 11, 87 ]
81
[ "31-26=5", "87-11=76", "5+76=81" ]
Current State: 81:[31, 26, 11, 87], Operations: [] Exploring Operation: 31-26=5, Resulting Numbers: [11, 87, 5] Generated Node #2: [11, 87, 5] from Operation: 31-26=5 Current State: 81:[11, 87, 5], Operations: ['31-26=5'] Exploring Operation: 87-11=76, Resulting Numbers: [5, 76] Generated Node #3: [5, 76] from Operation: 87-11=76 Current State: 81:[5, 76], Operations: ['31-26=5', '87-11=76'] Exploring Operation: 5+76=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 8, 35, 4, 27 ]
30
[ "8*4=32", "35+27=62", "62-32=30" ]
Current State: 30:[8, 35, 4, 27], Operations: [] Exploring Operation: 8*4=32, Resulting Numbers: [35, 27, 32] Generated Node #2: [35, 27, 32] from Operation: 8*4=32 Current State: 30:[35, 27, 32], Operations: ['8*4=32'] Exploring Operation: 35+27=62, Resulting Numbers: [32, 62] Generated Node #3: [32, 62] from Operation: 35+27=62 Current State: 30:[32, 62], Operations: ['8*4=32', '35+27=62'] Exploring Operation: 62-32=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 9, 5, 57, 25 ]
61
[ "9+57=66", "25/5=5", "66-5=61" ]
Current State: 61:[9, 5, 57, 25], Operations: [] Exploring Operation: 9+57=66, Resulting Numbers: [5, 25, 66] Generated Node #2: [5, 25, 66] from Operation: 9+57=66 Current State: 61:[5, 25, 66], Operations: ['9+57=66'] Exploring Operation: 25/5=5, Resulting Numbers: [66, 5] Generated Node #3: [66, 5] from Operation: 25/5=5 Current State: 61:[66, 5], Operations: ['9+57=66', '25/5=5'] Exploring Operation: 66-5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 77, 97, 95, 18 ]
96
[ "95-77=18", "18/18=1", "97-1=96" ]
Current State: 96:[77, 97, 95, 18], Operations: [] Exploring Operation: 95-77=18, Resulting Numbers: [97, 18, 18] Generated Node #2: [97, 18, 18] from Operation: 95-77=18 Current State: 96:[97, 18, 18], Operations: ['95-77=18'] Exploring Operation: 18/18=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 18/18=1 Current State: 96:[97, 1], Operations: ['95-77=18', '18/18=1'] Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 84, 73, 26, 34 ]
97
[ "84+73=157", "26+34=60", "157-60=97" ]
Current State: 97:[84, 73, 26, 34], Operations: [] Exploring Operation: 84+73=157, Resulting Numbers: [26, 34, 157] Generated Node #2: [26, 34, 157] from Operation: 84+73=157 Current State: 97:[26, 34, 157], Operations: ['84+73=157'] Exploring Operation: 26+34=60, Resulting Numbers: [157, 60] Generated Node #3: [157, 60] from Operation: 26+34=60 Current State: 97:[157, 60], Operations: ['84+73=157', '26+34=60'] Exploring Operation: 157-60=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 33, 54, 54, 2 ]
11
[ "54/54=1", "2+1=3", "33/3=11" ]
Current State: 11:[33, 54, 54, 2], Operations: [] Exploring Operation: 54/54=1, Resulting Numbers: [33, 2, 1] Generated Node #2: [33, 2, 1] from Operation: 54/54=1 Current State: 11:[33, 2, 1], Operations: ['54/54=1'] Exploring Operation: 2+1=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 2+1=3 Current State: 11:[33, 3], Operations: ['54/54=1', '2+1=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 16, 93, 80, 90 ]
67
[ "93-16=77", "90-80=10", "77-10=67" ]
Current State: 67:[16, 93, 80, 90], Operations: [] Exploring Operation: 93-16=77, Resulting Numbers: [80, 90, 77] Generated Node #2: [80, 90, 77] from Operation: 93-16=77 Current State: 67:[80, 90, 77], Operations: ['93-16=77'] Exploring Operation: 90-80=10, Resulting Numbers: [77, 10] Generated Node #3: [77, 10] from Operation: 90-80=10 Current State: 67:[77, 10], Operations: ['93-16=77', '90-80=10'] Exploring Operation: 77-10=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 50, 18, 64, 48 ]
55
[ "50-48=2", "18/2=9", "64-9=55" ]
Current State: 55:[50, 18, 64, 48], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [18, 64, 2] Generated Node #2: [18, 64, 2] from Operation: 50-48=2 Current State: 55:[18, 64, 2], Operations: ['50-48=2'] Exploring Operation: 18/2=9, Resulting Numbers: [64, 9] Generated Node #3: [64, 9] from Operation: 18/2=9 Current State: 55:[64, 9], Operations: ['50-48=2', '18/2=9'] Exploring Operation: 64-9=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 88, 4, 92, 95 ]
94
[ "88+4=92", "92/92=1", "95-1=94" ]
Current State: 94:[88, 4, 92, 95], Operations: [] Exploring Operation: 88+4=92, Resulting Numbers: [92, 95, 92] Generated Node #2: [92, 95, 92] from Operation: 88+4=92 Current State: 94:[92, 95, 92], Operations: ['88+4=92'] Exploring Operation: 92/92=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 92/92=1 Current State: 94:[95, 1], Operations: ['88+4=92', '92/92=1'] Exploring Operation: 95-1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 36, 5, 42, 8 ]
43
[ "42-36=6", "8*6=48", "48-5=43" ]
Current State: 43:[36, 5, 42, 8], Operations: [] Exploring Operation: 42-36=6, Resulting Numbers: [5, 8, 6] Generated Node #2: [5, 8, 6] from Operation: 42-36=6 Current State: 43:[5, 8, 6], Operations: ['42-36=6'] Exploring Operation: 8*6=48, Resulting Numbers: [5, 48] Generated Node #3: [5, 48] from Operation: 8*6=48 Current State: 43:[5, 48], Operations: ['42-36=6', '8*6=48'] Exploring Operation: 48-5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 15, 82, 92 ]
74
[ "92/4=23", "15+82=97", "97-23=74" ]
Current State: 74:[4, 15, 82, 92], Operations: [] Exploring Operation: 92/4=23, Resulting Numbers: [15, 82, 23] Generated Node #2: [15, 82, 23] from Operation: 92/4=23 Current State: 74:[15, 82, 23], Operations: ['92/4=23'] Exploring Operation: 15+82=97, Resulting Numbers: [23, 97] Generated Node #3: [23, 97] from Operation: 15+82=97 Current State: 74:[23, 97], Operations: ['92/4=23', '15+82=97'] Exploring Operation: 97-23=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 70, 70, 38, 94 ]
94
[ "70-70=0", "38*0=0", "94+0=94" ]
Current State: 94:[70, 70, 38, 94], Operations: [] Exploring Operation: 70-70=0, Resulting Numbers: [38, 94, 0] Generated Node #2: [38, 94, 0] from Operation: 70-70=0 Current State: 94:[38, 94, 0], Operations: ['70-70=0'] Exploring Operation: 38*0=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 38*0=0 Current State: 94:[94, 0], Operations: ['70-70=0', '38*0=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 60, 57, 18, 66 ]
72
[ "60-57=3", "18/3=6", "66+6=72" ]
Current State: 72:[60, 57, 18, 66], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [18, 66, 3] Generated Node #2: [18, 66, 3] from Operation: 60-57=3 Current State: 72:[18, 66, 3], Operations: ['60-57=3'] Exploring Operation: 18/3=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 18/3=6 Current State: 72:[66, 6], Operations: ['60-57=3', '18/3=6'] Exploring Operation: 66+6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 35, 20, 88, 25 ]
69
[ "20*88=1760", "1760-35=1725", "1725/25=69" ]
Current State: 69:[35, 20, 88, 25], Operations: [] Exploring Operation: 20*88=1760, Resulting Numbers: [35, 25, 1760] Generated Node #2: [35, 25, 1760] from Operation: 20*88=1760 Current State: 69:[35, 25, 1760], Operations: ['20*88=1760'] Exploring Operation: 1760-35=1725, Resulting Numbers: [25, 1725] Generated Node #3: [25, 1725] from Operation: 1760-35=1725 Current State: 69:[25, 1725], Operations: ['20*88=1760', '1760-35=1725'] Exploring Operation: 1725/25=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 28, 78, 85, 20 ]
34
[ "78-28=50", "85*20=1700", "1700/50=34" ]
Current State: 34:[28, 78, 85, 20], Operations: [] Exploring Operation: 78-28=50, Resulting Numbers: [85, 20, 50] Generated Node #2: [85, 20, 50] from Operation: 78-28=50 Current State: 34:[85, 20, 50], Operations: ['78-28=50'] Exploring Operation: 85*20=1700, Resulting Numbers: [50, 1700] Generated Node #3: [50, 1700] from Operation: 85*20=1700 Current State: 34:[50, 1700], Operations: ['78-28=50', '85*20=1700'] Exploring Operation: 1700/50=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 46, 79, 12, 41 ]
62
[ "79-46=33", "41-12=29", "33+29=62" ]
Current State: 62:[46, 79, 12, 41], Operations: [] Exploring Operation: 79-46=33, Resulting Numbers: [12, 41, 33] Generated Node #2: [12, 41, 33] from Operation: 79-46=33 Current State: 62:[12, 41, 33], Operations: ['79-46=33'] Exploring Operation: 41-12=29, Resulting Numbers: [33, 29] Generated Node #3: [33, 29] from Operation: 41-12=29 Current State: 62:[33, 29], Operations: ['79-46=33', '41-12=29'] Exploring Operation: 33+29=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 50, 12, 14, 50 ]
14
[ "50-50=0", "12*0=0", "14+0=14" ]
Current State: 14:[50, 12, 14, 50], Operations: [] Exploring Operation: 50-50=0, Resulting Numbers: [12, 14, 0] Generated Node #2: [12, 14, 0] from Operation: 50-50=0 Current State: 14:[12, 14, 0], Operations: ['50-50=0'] Exploring Operation: 12*0=0, Resulting Numbers: [14, 0] Generated Node #3: [14, 0] from Operation: 12*0=0 Current State: 14:[14, 0], Operations: ['50-50=0', '12*0=0'] Exploring Operation: 14+0=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 78, 6, 28, 2 ]
95
[ "6+28=34", "34/2=17", "78+17=95" ]
Current State: 95:[78, 6, 28, 2], Operations: [] Exploring Operation: 6+28=34, Resulting Numbers: [78, 2, 34] Generated Node #2: [78, 2, 34] from Operation: 6+28=34 Current State: 95:[78, 2, 34], Operations: ['6+28=34'] Exploring Operation: 34/2=17, Resulting Numbers: [78, 17] Generated Node #3: [78, 17] from Operation: 34/2=17 Current State: 95:[78, 17], Operations: ['6+28=34', '34/2=17'] Exploring Operation: 78+17=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 13, 14, 52, 10 ]
42
[ "14-13=1", "52-10=42", "1*42=42" ]
Current State: 42:[13, 14, 52, 10], Operations: [] Exploring Operation: 14-13=1, Resulting Numbers: [52, 10, 1] Generated Node #2: [52, 10, 1] from Operation: 14-13=1 Current State: 42:[52, 10, 1], Operations: ['14-13=1'] Exploring Operation: 52-10=42, Resulting Numbers: [1, 42] Generated Node #3: [1, 42] from Operation: 52-10=42 Current State: 42:[1, 42], Operations: ['14-13=1', '52-10=42'] Exploring Operation: 1*42=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 16, 35, 85, 43 ]
23
[ "35-16=19", "85-43=42", "42-19=23" ]
Current State: 23:[16, 35, 85, 43], Operations: [] Exploring Operation: 35-16=19, Resulting Numbers: [85, 43, 19] Generated Node #2: [85, 43, 19] from Operation: 35-16=19 Current State: 23:[85, 43, 19], Operations: ['35-16=19'] Exploring Operation: 85-43=42, Resulting Numbers: [19, 42] Generated Node #3: [19, 42] from Operation: 85-43=42 Current State: 23:[19, 42], Operations: ['35-16=19', '85-43=42'] Exploring Operation: 42-19=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 88, 24, 36, 4 ]
32
[ "88+24=112", "36*4=144", "144-112=32" ]
Current State: 32:[88, 24, 36, 4], Operations: [] Exploring Operation: 88+24=112, Resulting Numbers: [36, 4, 112] Generated Node #2: [36, 4, 112] from Operation: 88+24=112 Current State: 32:[36, 4, 112], Operations: ['88+24=112'] Exploring Operation: 36*4=144, Resulting Numbers: [112, 144] Generated Node #3: [112, 144] from Operation: 36*4=144 Current State: 32:[112, 144], Operations: ['88+24=112', '36*4=144'] Exploring Operation: 144-112=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 98, 93, 16, 62 ]
41
[ "98-93=5", "62-16=46", "46-5=41" ]
Current State: 41:[98, 93, 16, 62], Operations: [] Exploring Operation: 98-93=5, Resulting Numbers: [16, 62, 5] Generated Node #2: [16, 62, 5] from Operation: 98-93=5 Current State: 41:[16, 62, 5], Operations: ['98-93=5'] Exploring Operation: 62-16=46, Resulting Numbers: [5, 46] Generated Node #3: [5, 46] from Operation: 62-16=46 Current State: 41:[5, 46], Operations: ['98-93=5', '62-16=46'] Exploring Operation: 46-5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 43, 1, 86, 37 ]
35
[ "43*1=43", "86/43=2", "37-2=35" ]
Current State: 35:[43, 1, 86, 37], Operations: [] Exploring Operation: 43*1=43, Resulting Numbers: [86, 37, 43] Generated Node #2: [86, 37, 43] from Operation: 43*1=43 Current State: 35:[86, 37, 43], Operations: ['43*1=43'] Exploring Operation: 86/43=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 86/43=2 Current State: 35:[37, 2], Operations: ['43*1=43', '86/43=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 18, 74, 2, 13 ]
43
[ "18/2=9", "13*9=117", "117-74=43" ]
Current State: 43:[18, 74, 2, 13], Operations: [] Exploring Operation: 18/2=9, Resulting Numbers: [74, 13, 9] Generated Node #2: [74, 13, 9] from Operation: 18/2=9 Current State: 43:[74, 13, 9], Operations: ['18/2=9'] Exploring Operation: 13*9=117, Resulting Numbers: [74, 117] Generated Node #3: [74, 117] from Operation: 13*9=117 Current State: 43:[74, 117], Operations: ['18/2=9', '13*9=117'] Exploring Operation: 117-74=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4