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
[ 7, 10, 41, 28 ]
10
[ "10-7=3", "41-28=13", "13-3=10" ]
Current State: 10:[7, 10, 41, 28], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [41, 28, 3] Generated Node #2: [41, 28, 3] from Operation: 10-7=3 Current State: 10:[41, 28, 3], Operations: ['10-7=3'] Exploring Operation: 41-28=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 41-28=13 Current State: 10:[3, 13], Operations: ['10-7=3', '41-28=13'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 35, 68, 20, 78 ]
65
[ "68-35=33", "20+78=98", "98-33=65" ]
Current State: 65:[35, 68, 20, 78], Operations: [] Exploring Operation: 68-35=33, Resulting Numbers: [20, 78, 33] Generated Node #2: [20, 78, 33] from Operation: 68-35=33 Current State: 65:[20, 78, 33], Operations: ['68-35=33'] Exploring Operation: 20+78=98, Resulting Numbers: [33, 98] Generated Node #3: [33, 98] from Operation: 20+78=98 Current State: 65:[33, 98], Operations: ['68-35=33', '20+78=98'] Exploring Operation: 98-33=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 77, 37, 61, 34 ]
87
[ "77+37=114", "61-34=27", "114-27=87" ]
Current State: 87:[77, 37, 61, 34], Operations: [] Exploring Operation: 77+37=114, Resulting Numbers: [61, 34, 114] Generated Node #2: [61, 34, 114] from Operation: 77+37=114 Current State: 87:[61, 34, 114], Operations: ['77+37=114'] Exploring Operation: 61-34=27, Resulting Numbers: [114, 27] Generated Node #3: [114, 27] from Operation: 61-34=27 Current State: 87:[114, 27], Operations: ['77+37=114', '61-34=27'] Exploring Operation: 114-27=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 10, 3, 7, 57 ]
16
[ "10*7=70", "57-3=54", "70-54=16" ]
Current State: 16:[10, 3, 7, 57], Operations: [] Exploring Operation: 10*7=70, Resulting Numbers: [3, 57, 70] Generated Node #2: [3, 57, 70] from Operation: 10*7=70 Current State: 16:[3, 57, 70], Operations: ['10*7=70'] Exploring Operation: 57-3=54, Resulting Numbers: [70, 54] Generated Node #3: [70, 54] from Operation: 57-3=54 Current State: 16:[70, 54], Operations: ['10*7=70', '57-3=54'] Exploring Operation: 70-54=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 17, 25, 81, 5 ]
27
[ "25-17=8", "8-5=3", "81/3=27" ]
Current State: 27:[17, 25, 81, 5], Operations: [] Exploring Operation: 25-17=8, Resulting Numbers: [81, 5, 8] Generated Node #2: [81, 5, 8] from Operation: 25-17=8 Current State: 27:[81, 5, 8], Operations: ['25-17=8'] Exploring Operation: 8-5=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 8-5=3 Current State: 27:[81, 3], Operations: ['25-17=8', '8-5=3'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 52, 2, 30, 20 ]
81
[ "52+2=54", "30*54=1620", "1620/20=81" ]
Current State: 81:[52, 2, 30, 20], Operations: [] Exploring Operation: 52+2=54, Resulting Numbers: [30, 20, 54] Generated Node #2: [30, 20, 54] from Operation: 52+2=54 Current State: 81:[30, 20, 54], Operations: ['52+2=54'] Exploring Operation: 30*54=1620, Resulting Numbers: [20, 1620] Generated Node #3: [20, 1620] from Operation: 30*54=1620 Current State: 81:[20, 1620], Operations: ['52+2=54', '30*54=1620'] Exploring Operation: 1620/20=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 5, 40, 23, 55 ]
24
[ "40/5=8", "55-23=32", "32-8=24" ]
Current State: 24:[5, 40, 23, 55], Operations: [] Exploring Operation: 40/5=8, Resulting Numbers: [23, 55, 8] Generated Node #2: [23, 55, 8] from Operation: 40/5=8 Current State: 24:[23, 55, 8], Operations: ['40/5=8'] Exploring Operation: 55-23=32, Resulting Numbers: [8, 32] Generated Node #3: [8, 32] from Operation: 55-23=32 Current State: 24:[8, 32], Operations: ['40/5=8', '55-23=32'] Exploring Operation: 32-8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 86, 11, 48, 14 ]
71
[ "86*11=946", "48+946=994", "994/14=71" ]
Current State: 71:[86, 11, 48, 14], Operations: [] Exploring Operation: 86*11=946, Resulting Numbers: [48, 14, 946] Generated Node #2: [48, 14, 946] from Operation: 86*11=946 Current State: 71:[48, 14, 946], Operations: ['86*11=946'] Exploring Operation: 48+946=994, Resulting Numbers: [14, 994] Generated Node #3: [14, 994] from Operation: 48+946=994 Current State: 71:[14, 994], Operations: ['86*11=946', '48+946=994'] Exploring Operation: 994/14=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 98, 88, 94, 39 ]
61
[ "98-94=4", "88/4=22", "39+22=61" ]
Current State: 61:[98, 88, 94, 39], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [88, 39, 4] Generated Node #2: [88, 39, 4] from Operation: 98-94=4 Current State: 61:[88, 39, 4], Operations: ['98-94=4'] Exploring Operation: 88/4=22, Resulting Numbers: [39, 22] Generated Node #3: [39, 22] from Operation: 88/4=22 Current State: 61:[39, 22], Operations: ['98-94=4', '88/4=22'] Exploring Operation: 39+22=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 98, 66, 46, 10 ]
24
[ "98-66=32", "46+10=56", "56-32=24" ]
Current State: 24:[98, 66, 46, 10], Operations: [] Exploring Operation: 98-66=32, Resulting Numbers: [46, 10, 32] Generated Node #2: [46, 10, 32] from Operation: 98-66=32 Current State: 24:[46, 10, 32], Operations: ['98-66=32'] Exploring Operation: 46+10=56, Resulting Numbers: [32, 56] Generated Node #3: [32, 56] from Operation: 46+10=56 Current State: 24:[32, 56], Operations: ['98-66=32', '46+10=56'] Exploring Operation: 56-32=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 48, 51, 99, 25 ]
54
[ "51+99=150", "150/25=6", "48+6=54" ]
Current State: 54:[48, 51, 99, 25], Operations: [] Exploring Operation: 51+99=150, Resulting Numbers: [48, 25, 150] Generated Node #2: [48, 25, 150] from Operation: 51+99=150 Current State: 54:[48, 25, 150], Operations: ['51+99=150'] Exploring Operation: 150/25=6, Resulting Numbers: [48, 6] Generated Node #3: [48, 6] from Operation: 150/25=6 Current State: 54:[48, 6], Operations: ['51+99=150', '150/25=6'] Exploring Operation: 48+6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 99, 11, 7, 70 ]
54
[ "99/11=9", "70-7=63", "63-9=54" ]
Current State: 54:[99, 11, 7, 70], Operations: [] Exploring Operation: 99/11=9, Resulting Numbers: [7, 70, 9] Generated Node #2: [7, 70, 9] from Operation: 99/11=9 Current State: 54:[7, 70, 9], Operations: ['99/11=9'] Exploring Operation: 70-7=63, Resulting Numbers: [9, 63] Generated Node #3: [9, 63] from Operation: 70-7=63 Current State: 54:[9, 63], Operations: ['99/11=9', '70-7=63'] Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 16, 12, 66, 99 ]
66
[ "16*99=1584", "1584/12=132", "132-66=66" ]
Current State: 66:[16, 12, 66, 99], Operations: [] Exploring Operation: 16*99=1584, Resulting Numbers: [12, 66, 1584] Generated Node #2: [12, 66, 1584] from Operation: 16*99=1584 Current State: 66:[12, 66, 1584], Operations: ['16*99=1584'] Exploring Operation: 1584/12=132, Resulting Numbers: [66, 132] Generated Node #3: [66, 132] from Operation: 1584/12=132 Current State: 66:[66, 132], Operations: ['16*99=1584', '1584/12=132'] Exploring Operation: 132-66=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 22, 17, 1, 13 ]
66
[ "22-17=5", "13*5=65", "1+65=66" ]
Current State: 66:[22, 17, 1, 13], Operations: [] Exploring Operation: 22-17=5, Resulting Numbers: [1, 13, 5] Generated Node #2: [1, 13, 5] from Operation: 22-17=5 Current State: 66:[1, 13, 5], Operations: ['22-17=5'] Exploring Operation: 13*5=65, Resulting Numbers: [1, 65] Generated Node #3: [1, 65] from Operation: 13*5=65 Current State: 66:[1, 65], Operations: ['22-17=5', '13*5=65'] Exploring Operation: 1+65=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 6, 35, 59, 99 ]
56
[ "6+99=105", "105/35=3", "59-3=56" ]
Current State: 56:[6, 35, 59, 99], Operations: [] Exploring Operation: 6+99=105, Resulting Numbers: [35, 59, 105] Generated Node #2: [35, 59, 105] from Operation: 6+99=105 Current State: 56:[35, 59, 105], Operations: ['6+99=105'] Exploring Operation: 105/35=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 105/35=3 Current State: 56:[59, 3], Operations: ['6+99=105', '105/35=3'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 12, 37, 91, 36 ]
57
[ "36/12=3", "91-37=54", "3+54=57" ]
Current State: 57:[12, 37, 91, 36], Operations: [] Exploring Operation: 36/12=3, Resulting Numbers: [37, 91, 3] Generated Node #2: [37, 91, 3] from Operation: 36/12=3 Current State: 57:[37, 91, 3], Operations: ['36/12=3'] Exploring Operation: 91-37=54, Resulting Numbers: [3, 54] Generated Node #3: [3, 54] from Operation: 91-37=54 Current State: 57:[3, 54], Operations: ['36/12=3', '91-37=54'] Exploring Operation: 3+54=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 2, 2, 59, 64 ]
52
[ "2*59=118", "2+64=66", "118-66=52" ]
Current State: 52:[2, 2, 59, 64], Operations: [] Exploring Operation: 2*59=118, Resulting Numbers: [64, 118] Generated Node #2: [64, 118] from Operation: 2*59=118 Current State: 52:[64, 118], Operations: ['2*59=118'] Exploring Operation: 2+64=66, Resulting Numbers: [118, 66] Generated Node #3: [118, 66] from Operation: 2+64=66 Current State: 52:[118, 66], Operations: ['2*59=118', '2+64=66'] Exploring Operation: 118-66=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 12, 28, 3, 2 ]
45
[ "12+28=40", "3+2=5", "40+5=45" ]
Current State: 45:[12, 28, 3, 2], Operations: [] Exploring Operation: 12+28=40, Resulting Numbers: [3, 2, 40] Generated Node #2: [3, 2, 40] from Operation: 12+28=40 Current State: 45:[3, 2, 40], Operations: ['12+28=40'] Exploring Operation: 3+2=5, Resulting Numbers: [40, 5] Generated Node #3: [40, 5] from Operation: 3+2=5 Current State: 45:[40, 5], Operations: ['12+28=40', '3+2=5'] Exploring Operation: 40+5=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 92, 36, 38, 12 ]
34
[ "38-36=2", "92/2=46", "46-12=34" ]
Current State: 34:[92, 36, 38, 12], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [92, 12, 2] Generated Node #2: [92, 12, 2] from Operation: 38-36=2 Current State: 34:[92, 12, 2], Operations: ['38-36=2'] Exploring Operation: 92/2=46, Resulting Numbers: [12, 46] Generated Node #3: [12, 46] from Operation: 92/2=46 Current State: 34:[12, 46], Operations: ['38-36=2', '92/2=46'] Exploring Operation: 46-12=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 52, 79, 47, 87 ]
13
[ "79-52=27", "87-47=40", "40-27=13" ]
Current State: 13:[52, 79, 47, 87], Operations: [] Exploring Operation: 79-52=27, Resulting Numbers: [47, 87, 27] Generated Node #2: [47, 87, 27] from Operation: 79-52=27 Current State: 13:[47, 87, 27], Operations: ['79-52=27'] Exploring Operation: 87-47=40, Resulting Numbers: [27, 40] Generated Node #3: [27, 40] from Operation: 87-47=40 Current State: 13:[27, 40], Operations: ['79-52=27', '87-47=40'] Exploring Operation: 40-27=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 20, 18, 35, 46 ]
16
[ "46-18=28", "20*28=560", "560/35=16" ]
Current State: 16:[20, 18, 35, 46], Operations: [] Exploring Operation: 46-18=28, Resulting Numbers: [20, 35, 28] Generated Node #2: [20, 35, 28] from Operation: 46-18=28 Current State: 16:[20, 35, 28], Operations: ['46-18=28'] Exploring Operation: 20*28=560, Resulting Numbers: [35, 560] Generated Node #3: [35, 560] from Operation: 20*28=560 Current State: 16:[35, 560], Operations: ['46-18=28', '20*28=560'] Exploring Operation: 560/35=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 86, 35, 65, 39 ]
17
[ "86+35=121", "65+39=104", "121-104=17" ]
Current State: 17:[86, 35, 65, 39], Operations: [] Exploring Operation: 86+35=121, Resulting Numbers: [65, 39, 121] Generated Node #2: [65, 39, 121] from Operation: 86+35=121 Current State: 17:[65, 39, 121], Operations: ['86+35=121'] Exploring Operation: 65+39=104, Resulting Numbers: [121, 104] Generated Node #3: [121, 104] from Operation: 65+39=104 Current State: 17:[121, 104], Operations: ['86+35=121', '65+39=104'] Exploring Operation: 121-104=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 42, 38, 24, 73 ]
79
[ "42-38=4", "24/4=6", "73+6=79" ]
Current State: 79:[42, 38, 24, 73], Operations: [] Exploring Operation: 42-38=4, Resulting Numbers: [24, 73, 4] Generated Node #2: [24, 73, 4] from Operation: 42-38=4 Current State: 79:[24, 73, 4], Operations: ['42-38=4'] Exploring Operation: 24/4=6, Resulting Numbers: [73, 6] Generated Node #3: [73, 6] from Operation: 24/4=6 Current State: 79:[73, 6], Operations: ['42-38=4', '24/4=6'] Exploring Operation: 73+6=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 49, 34, 25, 61 ]
51
[ "49-34=15", "61-25=36", "15+36=51" ]
Current State: 51:[49, 34, 25, 61], Operations: [] Exploring Operation: 49-34=15, Resulting Numbers: [25, 61, 15] Generated Node #2: [25, 61, 15] from Operation: 49-34=15 Current State: 51:[25, 61, 15], Operations: ['49-34=15'] Exploring Operation: 61-25=36, Resulting Numbers: [15, 36] Generated Node #3: [15, 36] from Operation: 61-25=36 Current State: 51:[15, 36], Operations: ['49-34=15', '61-25=36'] Exploring Operation: 15+36=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 84, 14, 84, 17 ]
32
[ "84/84=1", "14+17=31", "1+31=32" ]
Current State: 32:[84, 14, 84, 17], Operations: [] Exploring Operation: 84/84=1, Resulting Numbers: [14, 17, 1] Generated Node #2: [14, 17, 1] from Operation: 84/84=1 Current State: 32:[14, 17, 1], Operations: ['84/84=1'] Exploring Operation: 14+17=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 14+17=31 Current State: 32:[1, 31], Operations: ['84/84=1', '14+17=31'] Exploring Operation: 1+31=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 28, 21, 39, 65 ]
42
[ "28+39=67", "67-65=2", "21*2=42" ]
Current State: 42:[28, 21, 39, 65], Operations: [] Exploring Operation: 28+39=67, Resulting Numbers: [21, 65, 67] Generated Node #2: [21, 65, 67] from Operation: 28+39=67 Current State: 42:[21, 65, 67], Operations: ['28+39=67'] Exploring Operation: 67-65=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 67-65=2 Current State: 42:[21, 2], Operations: ['28+39=67', '67-65=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 67, 58, 5, 80 ]
41
[ "67+58=125", "80+125=205", "205/5=41" ]
Current State: 41:[67, 58, 5, 80], Operations: [] Exploring Operation: 67+58=125, Resulting Numbers: [5, 80, 125] Generated Node #2: [5, 80, 125] from Operation: 67+58=125 Current State: 41:[5, 80, 125], Operations: ['67+58=125'] Exploring Operation: 80+125=205, Resulting Numbers: [5, 205] Generated Node #3: [5, 205] from Operation: 80+125=205 Current State: 41:[5, 205], Operations: ['67+58=125', '80+125=205'] Exploring Operation: 205/5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 4, 92, 27, 48 ]
77
[ "48/4=12", "92-27=65", "12+65=77" ]
Current State: 77:[4, 92, 27, 48], Operations: [] Exploring Operation: 48/4=12, Resulting Numbers: [92, 27, 12] Generated Node #2: [92, 27, 12] from Operation: 48/4=12 Current State: 77:[92, 27, 12], Operations: ['48/4=12'] Exploring Operation: 92-27=65, Resulting Numbers: [12, 65] Generated Node #3: [12, 65] from Operation: 92-27=65 Current State: 77:[12, 65], Operations: ['48/4=12', '92-27=65'] Exploring Operation: 12+65=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 38, 8, 63, 1 ]
46
[ "63+1=64", "64/8=8", "38+8=46" ]
Current State: 46:[38, 8, 63, 1], Operations: [] Exploring Operation: 63+1=64, Resulting Numbers: [38, 8, 64] Generated Node #2: [38, 8, 64] from Operation: 63+1=64 Current State: 46:[38, 8, 64], Operations: ['63+1=64'] Exploring Operation: 64/8=8, Resulting Numbers: [38, 8] Generated Node #3: [38, 8] from Operation: 64/8=8 Current State: 46:[38, 8], Operations: ['63+1=64', '64/8=8'] Exploring Operation: 38+8=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 67, 36, 13, 59 ]
69
[ "13+59=72", "72/36=2", "67+2=69" ]
Current State: 69:[67, 36, 13, 59], Operations: [] Exploring Operation: 13+59=72, Resulting Numbers: [67, 36, 72] Generated Node #2: [67, 36, 72] from Operation: 13+59=72 Current State: 69:[67, 36, 72], Operations: ['13+59=72'] Exploring Operation: 72/36=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 72/36=2 Current State: 69:[67, 2], Operations: ['13+59=72', '72/36=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 37, 15, 73, 1 ]
51
[ "37-15=22", "73*1=73", "73-22=51" ]
Current State: 51:[37, 15, 73, 1], Operations: [] Exploring Operation: 37-15=22, Resulting Numbers: [73, 1, 22] Generated Node #2: [73, 1, 22] from Operation: 37-15=22 Current State: 51:[73, 1, 22], Operations: ['37-15=22'] Exploring Operation: 73*1=73, Resulting Numbers: [22, 73] Generated Node #3: [22, 73] from Operation: 73*1=73 Current State: 51:[22, 73], Operations: ['37-15=22', '73*1=73'] Exploring Operation: 73-22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 25, 19, 77, 23 ]
98
[ "25+19=44", "77-23=54", "44+54=98" ]
Current State: 98:[25, 19, 77, 23], Operations: [] Exploring Operation: 25+19=44, Resulting Numbers: [77, 23, 44] Generated Node #2: [77, 23, 44] from Operation: 25+19=44 Current State: 98:[77, 23, 44], Operations: ['25+19=44'] Exploring Operation: 77-23=54, Resulting Numbers: [44, 54] Generated Node #3: [44, 54] from Operation: 77-23=54 Current State: 98:[44, 54], Operations: ['25+19=44', '77-23=54'] Exploring Operation: 44+54=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 64, 16, 40, 28 ]
66
[ "16+40=56", "56/28=2", "64+2=66" ]
Current State: 66:[64, 16, 40, 28], Operations: [] Exploring Operation: 16+40=56, Resulting Numbers: [64, 28, 56] Generated Node #2: [64, 28, 56] from Operation: 16+40=56 Current State: 66:[64, 28, 56], Operations: ['16+40=56'] Exploring Operation: 56/28=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 56/28=2 Current State: 66:[64, 2], Operations: ['16+40=56', '56/28=2'] Exploring Operation: 64+2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 81, 99, 12, 43 ]
13
[ "99-81=18", "43-12=31", "31-18=13" ]
Current State: 13:[81, 99, 12, 43], Operations: [] Exploring Operation: 99-81=18, Resulting Numbers: [12, 43, 18] Generated Node #2: [12, 43, 18] from Operation: 99-81=18 Current State: 13:[12, 43, 18], Operations: ['99-81=18'] Exploring Operation: 43-12=31, Resulting Numbers: [18, 31] Generated Node #3: [18, 31] from Operation: 43-12=31 Current State: 13:[18, 31], Operations: ['99-81=18', '43-12=31'] Exploring Operation: 31-18=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 50, 91, 32, 34 ]
43
[ "91-50=41", "34-32=2", "41+2=43" ]
Current State: 43:[50, 91, 32, 34], Operations: [] Exploring Operation: 91-50=41, Resulting Numbers: [32, 34, 41] Generated Node #2: [32, 34, 41] from Operation: 91-50=41 Current State: 43:[32, 34, 41], Operations: ['91-50=41'] Exploring Operation: 34-32=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 34-32=2 Current State: 43:[41, 2], Operations: ['91-50=41', '34-32=2'] Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 1, 6, 47 ]
13
[ "6-1=5", "47+5=52", "52/4=13" ]
Current State: 13:[4, 1, 6, 47], Operations: [] Exploring Operation: 6-1=5, Resulting Numbers: [4, 47, 5] Generated Node #2: [4, 47, 5] from Operation: 6-1=5 Current State: 13:[4, 47, 5], Operations: ['6-1=5'] Exploring Operation: 47+5=52, Resulting Numbers: [4, 52] Generated Node #3: [4, 52] from Operation: 47+5=52 Current State: 13:[4, 52], Operations: ['6-1=5', '47+5=52'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 60, 45, 18, 77 ]
45
[ "60+18=78", "78-77=1", "45*1=45" ]
Current State: 45:[60, 45, 18, 77], Operations: [] Exploring Operation: 60+18=78, Resulting Numbers: [45, 77, 78] Generated Node #2: [45, 77, 78] from Operation: 60+18=78 Current State: 45:[45, 77, 78], Operations: ['60+18=78'] Exploring Operation: 78-77=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 78-77=1 Current State: 45:[45, 1], Operations: ['60+18=78', '78-77=1'] Exploring Operation: 45*1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 2, 15, 88, 10 ]
18
[ "2+88=90", "15-10=5", "90/5=18" ]
Current State: 18:[2, 15, 88, 10], Operations: [] Exploring Operation: 2+88=90, Resulting Numbers: [15, 10, 90] Generated Node #2: [15, 10, 90] from Operation: 2+88=90 Current State: 18:[15, 10, 90], Operations: ['2+88=90'] Exploring Operation: 15-10=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 15-10=5 Current State: 18:[90, 5], Operations: ['2+88=90', '15-10=5'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 71, 66, 42, 7 ]
21
[ "71-66=5", "7-5=2", "42/2=21" ]
Current State: 21:[71, 66, 42, 7], Operations: [] Exploring Operation: 71-66=5, Resulting Numbers: [42, 7, 5] Generated Node #2: [42, 7, 5] from Operation: 71-66=5 Current State: 21:[42, 7, 5], Operations: ['71-66=5'] Exploring Operation: 7-5=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 7-5=2 Current State: 21:[42, 2], Operations: ['71-66=5', '7-5=2'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 63, 36, 78, 80 ]
81
[ "80-78=2", "36/2=18", "63+18=81" ]
Current State: 81:[63, 36, 78, 80], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [63, 36, 2] Generated Node #2: [63, 36, 2] from Operation: 80-78=2 Current State: 81:[63, 36, 2], Operations: ['80-78=2'] Exploring Operation: 36/2=18, Resulting Numbers: [63, 18] Generated Node #3: [63, 18] from Operation: 36/2=18 Current State: 81:[63, 18], Operations: ['80-78=2', '36/2=18'] Exploring Operation: 63+18=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 30, 46, 22, 32 ]
42
[ "30-22=8", "32/8=4", "46-4=42" ]
Current State: 42:[30, 46, 22, 32], Operations: [] Exploring Operation: 30-22=8, Resulting Numbers: [46, 32, 8] Generated Node #2: [46, 32, 8] from Operation: 30-22=8 Current State: 42:[46, 32, 8], Operations: ['30-22=8'] Exploring Operation: 32/8=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 32/8=4 Current State: 42:[46, 4], Operations: ['30-22=8', '32/8=4'] Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 17, 59, 20, 7 ]
55
[ "59-17=42", "20-7=13", "42+13=55" ]
Current State: 55:[17, 59, 20, 7], Operations: [] Exploring Operation: 59-17=42, Resulting Numbers: [20, 7, 42] Generated Node #2: [20, 7, 42] from Operation: 59-17=42 Current State: 55:[20, 7, 42], Operations: ['59-17=42'] Exploring Operation: 20-7=13, Resulting Numbers: [42, 13] Generated Node #3: [42, 13] from Operation: 20-7=13 Current State: 55:[42, 13], Operations: ['59-17=42', '20-7=13'] Exploring Operation: 42+13=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 11, 32, 3, 90 ]
82
[ "11*32=352", "3*90=270", "352-270=82" ]
Current State: 82:[11, 32, 3, 90], Operations: [] Exploring Operation: 11*32=352, Resulting Numbers: [3, 90, 352] Generated Node #2: [3, 90, 352] from Operation: 11*32=352 Current State: 82:[3, 90, 352], Operations: ['11*32=352'] Exploring Operation: 3*90=270, Resulting Numbers: [352, 270] Generated Node #3: [352, 270] from Operation: 3*90=270 Current State: 82:[352, 270], Operations: ['11*32=352', '3*90=270'] Exploring Operation: 352-270=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 15, 17, 3, 1 ]
68
[ "15/3=5", "5-1=4", "17*4=68" ]
Current State: 68:[15, 17, 3, 1], Operations: [] Exploring Operation: 15/3=5, Resulting Numbers: [17, 1, 5] Generated Node #2: [17, 1, 5] from Operation: 15/3=5 Current State: 68:[17, 1, 5], Operations: ['15/3=5'] Exploring Operation: 5-1=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 5-1=4 Current State: 68:[17, 4], Operations: ['15/3=5', '5-1=4'] Exploring Operation: 17*4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 25, 4, 62, 16 ]
91
[ "25+62=87", "16/4=4", "87+4=91" ]
Current State: 91:[25, 4, 62, 16], Operations: [] Exploring Operation: 25+62=87, Resulting Numbers: [4, 16, 87] Generated Node #2: [4, 16, 87] from Operation: 25+62=87 Current State: 91:[4, 16, 87], Operations: ['25+62=87'] Exploring Operation: 16/4=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 16/4=4 Current State: 91:[87, 4], Operations: ['25+62=87', '16/4=4'] Exploring Operation: 87+4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 83, 36, 57, 14 ]
26
[ "83+57=140", "140/14=10", "36-10=26" ]
Current State: 26:[83, 36, 57, 14], Operations: [] Exploring Operation: 83+57=140, Resulting Numbers: [36, 14, 140] Generated Node #2: [36, 14, 140] from Operation: 83+57=140 Current State: 26:[36, 14, 140], Operations: ['83+57=140'] Exploring Operation: 140/14=10, Resulting Numbers: [36, 10] Generated Node #3: [36, 10] from Operation: 140/14=10 Current State: 26:[36, 10], Operations: ['83+57=140', '140/14=10'] Exploring Operation: 36-10=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 7, 96, 24, 59 ]
87
[ "7*96=672", "672/24=28", "59+28=87" ]
Current State: 87:[7, 96, 24, 59], Operations: [] Exploring Operation: 7*96=672, Resulting Numbers: [24, 59, 672] Generated Node #2: [24, 59, 672] from Operation: 7*96=672 Current State: 87:[24, 59, 672], Operations: ['7*96=672'] Exploring Operation: 672/24=28, Resulting Numbers: [59, 28] Generated Node #3: [59, 28] from Operation: 672/24=28 Current State: 87:[59, 28], Operations: ['7*96=672', '672/24=28'] Exploring Operation: 59+28=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 31, 23, 41, 36 ]
62
[ "31*36=1116", "41-23=18", "1116/18=62" ]
Current State: 62:[31, 23, 41, 36], Operations: [] Exploring Operation: 31*36=1116, Resulting Numbers: [23, 41, 1116] Generated Node #2: [23, 41, 1116] from Operation: 31*36=1116 Current State: 62:[23, 41, 1116], Operations: ['31*36=1116'] Exploring Operation: 41-23=18, Resulting Numbers: [1116, 18] Generated Node #3: [1116, 18] from Operation: 41-23=18 Current State: 62:[1116, 18], Operations: ['31*36=1116', '41-23=18'] Exploring Operation: 1116/18=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 2, 74, 75, 95 ]
41
[ "2*95=190", "74+75=149", "190-149=41" ]
Current State: 41:[2, 74, 75, 95], Operations: [] Exploring Operation: 2*95=190, Resulting Numbers: [74, 75, 190] Generated Node #2: [74, 75, 190] from Operation: 2*95=190 Current State: 41:[74, 75, 190], Operations: ['2*95=190'] Exploring Operation: 74+75=149, Resulting Numbers: [190, 149] Generated Node #3: [190, 149] from Operation: 74+75=149 Current State: 41:[190, 149], Operations: ['2*95=190', '74+75=149'] Exploring Operation: 190-149=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 92, 4, 60, 2 ]
68
[ "92-60=32", "2*32=64", "4+64=68" ]
Current State: 68:[92, 4, 60, 2], Operations: [] Exploring Operation: 92-60=32, Resulting Numbers: [4, 2, 32] Generated Node #2: [4, 2, 32] from Operation: 92-60=32 Current State: 68:[4, 2, 32], Operations: ['92-60=32'] Exploring Operation: 2*32=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 2*32=64 Current State: 68:[4, 64], Operations: ['92-60=32', '2*32=64'] Exploring Operation: 4+64=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 7, 88, 99, 85 ]
40
[ "88-85=3", "99/3=33", "7+33=40" ]
Current State: 40:[7, 88, 99, 85], Operations: [] Exploring Operation: 88-85=3, Resulting Numbers: [7, 99, 3] Generated Node #2: [7, 99, 3] from Operation: 88-85=3 Current State: 40:[7, 99, 3], Operations: ['88-85=3'] Exploring Operation: 99/3=33, Resulting Numbers: [7, 33] Generated Node #3: [7, 33] from Operation: 99/3=33 Current State: 40:[7, 33], Operations: ['88-85=3', '99/3=33'] Exploring Operation: 7+33=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 42, 79, 39, 39 ]
41
[ "79-42=37", "39+39=78", "78-37=41" ]
Current State: 41:[42, 79, 39, 39], Operations: [] Exploring Operation: 79-42=37, Resulting Numbers: [39, 39, 37] Generated Node #2: [39, 39, 37] from Operation: 79-42=37 Current State: 41:[39, 39, 37], Operations: ['79-42=37'] Exploring Operation: 39+39=78, Resulting Numbers: [37, 78] Generated Node #3: [37, 78] from Operation: 39+39=78 Current State: 41:[37, 78], Operations: ['79-42=37', '39+39=78'] Exploring Operation: 78-37=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 84, 17, 53, 79 ]
65
[ "84-17=67", "53+79=132", "132-67=65" ]
Current State: 65:[84, 17, 53, 79], Operations: [] Exploring Operation: 84-17=67, Resulting Numbers: [53, 79, 67] Generated Node #2: [53, 79, 67] from Operation: 84-17=67 Current State: 65:[53, 79, 67], Operations: ['84-17=67'] Exploring Operation: 53+79=132, Resulting Numbers: [67, 132] Generated Node #3: [67, 132] from Operation: 53+79=132 Current State: 65:[67, 132], Operations: ['84-17=67', '53+79=132'] Exploring Operation: 132-67=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 34, 85, 32, 55 ]
28
[ "85-34=51", "55-32=23", "51-23=28" ]
Current State: 28:[34, 85, 32, 55], Operations: [] Exploring Operation: 85-34=51, Resulting Numbers: [32, 55, 51] Generated Node #2: [32, 55, 51] from Operation: 85-34=51 Current State: 28:[32, 55, 51], Operations: ['85-34=51'] Exploring Operation: 55-32=23, Resulting Numbers: [51, 23] Generated Node #3: [51, 23] from Operation: 55-32=23 Current State: 28:[51, 23], Operations: ['85-34=51', '55-32=23'] Exploring Operation: 51-23=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 58, 58, 13, 4 ]
51
[ "58/58=1", "13*4=52", "52-1=51" ]
Current State: 51:[58, 58, 13, 4], Operations: [] Exploring Operation: 58/58=1, Resulting Numbers: [13, 4, 1] Generated Node #2: [13, 4, 1] from Operation: 58/58=1 Current State: 51:[13, 4, 1], Operations: ['58/58=1'] Exploring Operation: 13*4=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 13*4=52 Current State: 51:[1, 52], Operations: ['58/58=1', '13*4=52'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 7, 84, 18, 76 ]
38
[ "84-76=8", "7*8=56", "56-18=38" ]
Current State: 38:[7, 84, 18, 76], Operations: [] Exploring Operation: 84-76=8, Resulting Numbers: [7, 18, 8] Generated Node #2: [7, 18, 8] from Operation: 84-76=8 Current State: 38:[7, 18, 8], Operations: ['84-76=8'] Exploring Operation: 7*8=56, Resulting Numbers: [18, 56] Generated Node #3: [18, 56] from Operation: 7*8=56 Current State: 38:[18, 56], Operations: ['84-76=8', '7*8=56'] Exploring Operation: 56-18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 69, 69, 22, 18 ]
41
[ "69/69=1", "22+18=40", "1+40=41" ]
Current State: 41:[69, 69, 22, 18], Operations: [] Exploring Operation: 69/69=1, Resulting Numbers: [22, 18, 1] Generated Node #2: [22, 18, 1] from Operation: 69/69=1 Current State: 41:[22, 18, 1], Operations: ['69/69=1'] Exploring Operation: 22+18=40, Resulting Numbers: [1, 40] Generated Node #3: [1, 40] from Operation: 22+18=40 Current State: 41:[1, 40], Operations: ['69/69=1', '22+18=40'] Exploring Operation: 1+40=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 60, 49, 22, 6 ]
23
[ "60+49=109", "22*6=132", "132-109=23" ]
Current State: 23:[60, 49, 22, 6], Operations: [] Exploring Operation: 60+49=109, Resulting Numbers: [22, 6, 109] Generated Node #2: [22, 6, 109] from Operation: 60+49=109 Current State: 23:[22, 6, 109], Operations: ['60+49=109'] Exploring Operation: 22*6=132, Resulting Numbers: [109, 132] Generated Node #3: [109, 132] from Operation: 22*6=132 Current State: 23:[109, 132], Operations: ['60+49=109', '22*6=132'] Exploring Operation: 132-109=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 74, 8, 93, 91 ]
58
[ "93-91=2", "8*2=16", "74-16=58" ]
Current State: 58:[74, 8, 93, 91], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [74, 8, 2] Generated Node #2: [74, 8, 2] from Operation: 93-91=2 Current State: 58:[74, 8, 2], Operations: ['93-91=2'] Exploring Operation: 8*2=16, Resulting Numbers: [74, 16] Generated Node #3: [74, 16] from Operation: 8*2=16 Current State: 58:[74, 16], Operations: ['93-91=2', '8*2=16'] Exploring Operation: 74-16=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 8, 58, 42, 4 ]
48
[ "8*4=32", "58-42=16", "32+16=48" ]
Current State: 48:[8, 58, 42, 4], Operations: [] Exploring Operation: 8*4=32, Resulting Numbers: [58, 42, 32] Generated Node #2: [58, 42, 32] from Operation: 8*4=32 Current State: 48:[58, 42, 32], Operations: ['8*4=32'] Exploring Operation: 58-42=16, Resulting Numbers: [32, 16] Generated Node #3: [32, 16] from Operation: 58-42=16 Current State: 48:[32, 16], Operations: ['8*4=32', '58-42=16'] Exploring Operation: 32+16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 20, 84, 5, 70 ]
94
[ "70-20=50", "50/5=10", "84+10=94" ]
Current State: 94:[20, 84, 5, 70], Operations: [] Exploring Operation: 70-20=50, Resulting Numbers: [84, 5, 50] Generated Node #2: [84, 5, 50] from Operation: 70-20=50 Current State: 94:[84, 5, 50], Operations: ['70-20=50'] Exploring Operation: 50/5=10, Resulting Numbers: [84, 10] Generated Node #3: [84, 10] from Operation: 50/5=10 Current State: 94:[84, 10], Operations: ['70-20=50', '50/5=10'] Exploring Operation: 84+10=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 82, 78, 44 ]
18
[ "82-30=52", "78-44=34", "52-34=18" ]
Current State: 18:[30, 82, 78, 44], Operations: [] Exploring Operation: 82-30=52, Resulting Numbers: [78, 44, 52] Generated Node #2: [78, 44, 52] from Operation: 82-30=52 Current State: 18:[78, 44, 52], Operations: ['82-30=52'] Exploring Operation: 78-44=34, Resulting Numbers: [52, 34] Generated Node #3: [52, 34] from Operation: 78-44=34 Current State: 18:[52, 34], Operations: ['82-30=52', '78-44=34'] Exploring Operation: 52-34=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 24, 2, 7, 76 ]
86
[ "24+76=100", "2*7=14", "100-14=86" ]
Current State: 86:[24, 2, 7, 76], Operations: [] Exploring Operation: 24+76=100, Resulting Numbers: [2, 7, 100] Generated Node #2: [2, 7, 100] from Operation: 24+76=100 Current State: 86:[2, 7, 100], Operations: ['24+76=100'] Exploring Operation: 2*7=14, Resulting Numbers: [100, 14] Generated Node #3: [100, 14] from Operation: 2*7=14 Current State: 86:[100, 14], Operations: ['24+76=100', '2*7=14'] Exploring Operation: 100-14=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 9, 54, 44, 69 ]
91
[ "69-54=15", "9*15=135", "135-44=91" ]
Current State: 91:[9, 54, 44, 69], Operations: [] Exploring Operation: 69-54=15, Resulting Numbers: [9, 44, 15] Generated Node #2: [9, 44, 15] from Operation: 69-54=15 Current State: 91:[9, 44, 15], Operations: ['69-54=15'] Exploring Operation: 9*15=135, Resulting Numbers: [44, 135] Generated Node #3: [44, 135] from Operation: 9*15=135 Current State: 91:[44, 135], Operations: ['69-54=15', '9*15=135'] Exploring Operation: 135-44=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 94, 72, 58, 48 ]
83
[ "94*72=6768", "6768/48=141", "141-58=83" ]
Current State: 83:[94, 72, 58, 48], Operations: [] Exploring Operation: 94*72=6768, Resulting Numbers: [58, 48, 6768] Generated Node #2: [58, 48, 6768] from Operation: 94*72=6768 Current State: 83:[58, 48, 6768], Operations: ['94*72=6768'] Exploring Operation: 6768/48=141, Resulting Numbers: [58, 141] Generated Node #3: [58, 141] from Operation: 6768/48=141 Current State: 83:[58, 141], Operations: ['94*72=6768', '6768/48=141'] Exploring Operation: 141-58=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 91, 52, 31, 47 ]
23
[ "91-52=39", "47-31=16", "39-16=23" ]
Current State: 23:[91, 52, 31, 47], Operations: [] Exploring Operation: 91-52=39, Resulting Numbers: [31, 47, 39] Generated Node #2: [31, 47, 39] from Operation: 91-52=39 Current State: 23:[31, 47, 39], Operations: ['91-52=39'] Exploring Operation: 47-31=16, Resulting Numbers: [39, 16] Generated Node #3: [39, 16] from Operation: 47-31=16 Current State: 23:[39, 16], Operations: ['91-52=39', '47-31=16'] Exploring Operation: 39-16=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 52, 22, 4, 99 ]
64
[ "52/4=13", "99-22=77", "77-13=64" ]
Current State: 64:[52, 22, 4, 99], Operations: [] Exploring Operation: 52/4=13, Resulting Numbers: [22, 99, 13] Generated Node #2: [22, 99, 13] from Operation: 52/4=13 Current State: 64:[22, 99, 13], Operations: ['52/4=13'] Exploring Operation: 99-22=77, Resulting Numbers: [13, 77] Generated Node #3: [13, 77] from Operation: 99-22=77 Current State: 64:[13, 77], Operations: ['52/4=13', '99-22=77'] Exploring Operation: 77-13=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 15, 11, 90, 15 ]
16
[ "90-15=75", "75/15=5", "11+5=16" ]
Current State: 16:[15, 11, 90, 15], Operations: [] Exploring Operation: 90-15=75, Resulting Numbers: [11, 75] Generated Node #2: [11, 75] from Operation: 90-15=75 Current State: 16:[11, 75], Operations: ['90-15=75'] Exploring Operation: 75/15=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 75/15=5 Current State: 16:[11, 5], Operations: ['90-15=75', '75/15=5'] Exploring Operation: 11+5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 91, 28, 14, 53 ]
19
[ "91-53=38", "28/14=2", "38/2=19" ]
Current State: 19:[91, 28, 14, 53], Operations: [] Exploring Operation: 91-53=38, Resulting Numbers: [28, 14, 38] Generated Node #2: [28, 14, 38] from Operation: 91-53=38 Current State: 19:[28, 14, 38], Operations: ['91-53=38'] Exploring Operation: 28/14=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 28/14=2 Current State: 19:[38, 2], Operations: ['91-53=38', '28/14=2'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 78, 13, 55, 92 ]
17
[ "78-55=23", "92/23=4", "13+4=17" ]
Current State: 17:[78, 13, 55, 92], Operations: [] Exploring Operation: 78-55=23, Resulting Numbers: [13, 92, 23] Generated Node #2: [13, 92, 23] from Operation: 78-55=23 Current State: 17:[13, 92, 23], Operations: ['78-55=23'] Exploring Operation: 92/23=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 92/23=4 Current State: 17:[13, 4], Operations: ['78-55=23', '92/23=4'] Exploring Operation: 13+4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 79, 44, 17, 80 ]
61
[ "80-79=1", "44+17=61", "1*61=61" ]
Current State: 61:[79, 44, 17, 80], Operations: [] Exploring Operation: 80-79=1, Resulting Numbers: [44, 17, 1] Generated Node #2: [44, 17, 1] from Operation: 80-79=1 Current State: 61:[44, 17, 1], Operations: ['80-79=1'] Exploring Operation: 44+17=61, Resulting Numbers: [1, 61] Generated Node #3: [1, 61] from Operation: 44+17=61 Current State: 61:[1, 61], Operations: ['80-79=1', '44+17=61'] Exploring Operation: 1*61=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 25, 48, 12, 49 ]
10
[ "49-25=24", "48/24=2", "12-2=10" ]
Current State: 10:[25, 48, 12, 49], Operations: [] Exploring Operation: 49-25=24, Resulting Numbers: [48, 12, 24] Generated Node #2: [48, 12, 24] from Operation: 49-25=24 Current State: 10:[48, 12, 24], Operations: ['49-25=24'] Exploring Operation: 48/24=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 48/24=2 Current State: 10:[12, 2], Operations: ['49-25=24', '48/24=2'] Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 5, 47, 72, 47 ]
52
[ "72-47=25", "25/5=5", "47+5=52" ]
Current State: 52:[5, 47, 72, 47], Operations: [] Exploring Operation: 72-47=25, Resulting Numbers: [5, 25] Generated Node #2: [5, 25] from Operation: 72-47=25 Current State: 52:[5, 25], Operations: ['72-47=25'] Exploring Operation: 25/5=5, Resulting Numbers: [5] 5,52 equal: Goal Reached Exploring Operation: 47+5=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 87, 88, 92, 85 ]
96
[ "87-85=2", "92*2=184", "184-88=96" ]
Current State: 96:[87, 88, 92, 85], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [88, 92, 2] Generated Node #2: [88, 92, 2] from Operation: 87-85=2 Current State: 96:[88, 92, 2], Operations: ['87-85=2'] Exploring Operation: 92*2=184, Resulting Numbers: [88, 184] Generated Node #3: [88, 184] from Operation: 92*2=184 Current State: 96:[88, 184], Operations: ['87-85=2', '92*2=184'] Exploring Operation: 184-88=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 1, 81, 86, 20 ]
25
[ "1*81=81", "86+20=106", "106-81=25" ]
Current State: 25:[1, 81, 86, 20], Operations: [] Exploring Operation: 1*81=81, Resulting Numbers: [86, 20, 81] Generated Node #2: [86, 20, 81] from Operation: 1*81=81 Current State: 25:[86, 20, 81], Operations: ['1*81=81'] Exploring Operation: 86+20=106, Resulting Numbers: [81, 106] Generated Node #3: [81, 106] from Operation: 86+20=106 Current State: 25:[81, 106], Operations: ['1*81=81', '86+20=106'] Exploring Operation: 106-81=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 90, 70, 18, 42 ]
72
[ "90*42=3780", "3780/70=54", "18+54=72" ]
Current State: 72:[90, 70, 18, 42], Operations: [] Exploring Operation: 90*42=3780, Resulting Numbers: [70, 18, 3780] Generated Node #2: [70, 18, 3780] from Operation: 90*42=3780 Current State: 72:[70, 18, 3780], Operations: ['90*42=3780'] Exploring Operation: 3780/70=54, Resulting Numbers: [18, 54] Generated Node #3: [18, 54] from Operation: 3780/70=54 Current State: 72:[18, 54], Operations: ['90*42=3780', '3780/70=54'] Exploring Operation: 18+54=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 6, 8, 42, 10 ]
15
[ "10-8=2", "42/2=21", "21-6=15" ]
Current State: 15:[6, 8, 42, 10], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [6, 42, 2] Generated Node #2: [6, 42, 2] from Operation: 10-8=2 Current State: 15:[6, 42, 2], Operations: ['10-8=2'] Exploring Operation: 42/2=21, Resulting Numbers: [6, 21] Generated Node #3: [6, 21] from Operation: 42/2=21 Current State: 15:[6, 21], Operations: ['10-8=2', '42/2=21'] Exploring Operation: 21-6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 71, 4, 66, 73 ]
72
[ "71-4=67", "66+73=139", "139-67=72" ]
Current State: 72:[71, 4, 66, 73], Operations: [] Exploring Operation: 71-4=67, Resulting Numbers: [66, 73, 67] Generated Node #2: [66, 73, 67] from Operation: 71-4=67 Current State: 72:[66, 73, 67], Operations: ['71-4=67'] Exploring Operation: 66+73=139, Resulting Numbers: [67, 139] Generated Node #3: [67, 139] from Operation: 66+73=139 Current State: 72:[67, 139], Operations: ['71-4=67', '66+73=139'] Exploring Operation: 139-67=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 6, 40, 74, 72 ]
86
[ "74-72=2", "40*2=80", "6+80=86" ]
Current State: 86:[6, 40, 74, 72], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [6, 40, 2] Generated Node #2: [6, 40, 2] from Operation: 74-72=2 Current State: 86:[6, 40, 2], Operations: ['74-72=2'] Exploring Operation: 40*2=80, Resulting Numbers: [6, 80] Generated Node #3: [6, 80] from Operation: 40*2=80 Current State: 86:[6, 80], Operations: ['74-72=2', '40*2=80'] Exploring Operation: 6+80=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 4, 87, 40, 84 ]
98
[ "84-40=44", "44/4=11", "87+11=98" ]
Current State: 98:[4, 87, 40, 84], Operations: [] Exploring Operation: 84-40=44, Resulting Numbers: [4, 87, 44] Generated Node #2: [4, 87, 44] from Operation: 84-40=44 Current State: 98:[4, 87, 44], Operations: ['84-40=44'] Exploring Operation: 44/4=11, Resulting Numbers: [87, 11] Generated Node #3: [87, 11] from Operation: 44/4=11 Current State: 98:[87, 11], Operations: ['84-40=44', '44/4=11'] Exploring Operation: 87+11=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 3, 41, 33, 6 ]
90
[ "6-3=3", "41*3=123", "123-33=90" ]
Current State: 90:[3, 41, 33, 6], Operations: [] Exploring Operation: 6-3=3, Resulting Numbers: [41, 33, 3] Generated Node #2: [41, 33, 3] from Operation: 6-3=3 Current State: 90:[41, 33, 3], Operations: ['6-3=3'] Exploring Operation: 41*3=123, Resulting Numbers: [33, 123] Generated Node #3: [33, 123] from Operation: 41*3=123 Current State: 90:[33, 123], Operations: ['6-3=3', '41*3=123'] Exploring Operation: 123-33=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 96, 90, 2, 1 ]
62
[ "96+90=186", "2+1=3", "186/3=62" ]
Current State: 62:[96, 90, 2, 1], Operations: [] Exploring Operation: 96+90=186, Resulting Numbers: [2, 1, 186] Generated Node #2: [2, 1, 186] from Operation: 96+90=186 Current State: 62:[2, 1, 186], Operations: ['96+90=186'] Exploring Operation: 2+1=3, Resulting Numbers: [186, 3] Generated Node #3: [186, 3] from Operation: 2+1=3 Current State: 62:[186, 3], Operations: ['96+90=186', '2+1=3'] Exploring Operation: 186/3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 31, 49, 40, 66 ]
44
[ "49-31=18", "66-40=26", "18+26=44" ]
Current State: 44:[31, 49, 40, 66], Operations: [] Exploring Operation: 49-31=18, Resulting Numbers: [40, 66, 18] Generated Node #2: [40, 66, 18] from Operation: 49-31=18 Current State: 44:[40, 66, 18], Operations: ['49-31=18'] Exploring Operation: 66-40=26, Resulting Numbers: [18, 26] Generated Node #3: [18, 26] from Operation: 66-40=26 Current State: 44:[18, 26], Operations: ['49-31=18', '66-40=26'] Exploring Operation: 18+26=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 18, 15, 53, 25 ]
84
[ "18-15=3", "53-25=28", "3*28=84" ]
Current State: 84:[18, 15, 53, 25], Operations: [] Exploring Operation: 18-15=3, Resulting Numbers: [53, 25, 3] Generated Node #2: [53, 25, 3] from Operation: 18-15=3 Current State: 84:[53, 25, 3], Operations: ['18-15=3'] Exploring Operation: 53-25=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 53-25=28 Current State: 84:[3, 28], Operations: ['18-15=3', '53-25=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 64, 82, 23, 48 ]
46
[ "64-23=41", "82/41=2", "48-2=46" ]
Current State: 46:[64, 82, 23, 48], Operations: [] Exploring Operation: 64-23=41, Resulting Numbers: [82, 48, 41] Generated Node #2: [82, 48, 41] from Operation: 64-23=41 Current State: 46:[82, 48, 41], Operations: ['64-23=41'] Exploring Operation: 82/41=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 82/41=2 Current State: 46:[48, 2], Operations: ['64-23=41', '82/41=2'] Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 47, 4, 49, 26 ]
44
[ "49-47=2", "26-4=22", "2*22=44" ]
Current State: 44:[47, 4, 49, 26], Operations: [] Exploring Operation: 49-47=2, Resulting Numbers: [4, 26, 2] Generated Node #2: [4, 26, 2] from Operation: 49-47=2 Current State: 44:[4, 26, 2], Operations: ['49-47=2'] Exploring Operation: 26-4=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 26-4=22 Current State: 44:[2, 22], Operations: ['49-47=2', '26-4=22'] Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 58, 29, 42, 92 ]
48
[ "58/29=2", "92-42=50", "50-2=48" ]
Current State: 48:[58, 29, 42, 92], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [42, 92, 2] Generated Node #2: [42, 92, 2] from Operation: 58/29=2 Current State: 48:[42, 92, 2], Operations: ['58/29=2'] Exploring Operation: 92-42=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 92-42=50 Current State: 48:[2, 50], Operations: ['58/29=2', '92-42=50'] Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 62, 87, 44, 10 ]
59
[ "87-62=25", "44-10=34", "25+34=59" ]
Current State: 59:[62, 87, 44, 10], Operations: [] Exploring Operation: 87-62=25, Resulting Numbers: [44, 10, 25] Generated Node #2: [44, 10, 25] from Operation: 87-62=25 Current State: 59:[44, 10, 25], Operations: ['87-62=25'] Exploring Operation: 44-10=34, Resulting Numbers: [25, 34] Generated Node #3: [25, 34] from Operation: 44-10=34 Current State: 59:[25, 34], Operations: ['87-62=25', '44-10=34'] Exploring Operation: 25+34=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 46, 86, 68, 74 ]
46
[ "86-46=40", "74-68=6", "40+6=46" ]
Current State: 46:[46, 86, 68, 74], Operations: [] Exploring Operation: 86-46=40, Resulting Numbers: [68, 74, 40] Generated Node #2: [68, 74, 40] from Operation: 86-46=40 Current State: 46:[68, 74, 40], Operations: ['86-46=40'] Exploring Operation: 74-68=6, Resulting Numbers: [40, 6] Generated Node #3: [40, 6] from Operation: 74-68=6 Current State: 46:[40, 6], Operations: ['86-46=40', '74-68=6'] Exploring Operation: 40+6=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 75, 41, 61, 89 ]
62
[ "75-41=34", "89-61=28", "34+28=62" ]
Current State: 62:[75, 41, 61, 89], Operations: [] Exploring Operation: 75-41=34, Resulting Numbers: [61, 89, 34] Generated Node #2: [61, 89, 34] from Operation: 75-41=34 Current State: 62:[61, 89, 34], Operations: ['75-41=34'] Exploring Operation: 89-61=28, Resulting Numbers: [34, 28] Generated Node #3: [34, 28] from Operation: 89-61=28 Current State: 62:[34, 28], Operations: ['75-41=34', '89-61=28'] Exploring Operation: 34+28=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 89, 31, 9, 28 ]
86
[ "31-28=3", "9/3=3", "89-3=86" ]
Current State: 86:[89, 31, 9, 28], Operations: [] Exploring Operation: 31-28=3, Resulting Numbers: [89, 9, 3] Generated Node #2: [89, 9, 3] from Operation: 31-28=3 Current State: 86:[89, 9, 3], Operations: ['31-28=3'] Exploring Operation: 9/3=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 9/3=3 Current State: 86:[89, 3], Operations: ['31-28=3', '9/3=3'] Exploring Operation: 89-3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 29, 66, 47, 9 ]
19
[ "66-29=37", "47+9=56", "56-37=19" ]
Current State: 19:[29, 66, 47, 9], Operations: [] Exploring Operation: 66-29=37, Resulting Numbers: [47, 9, 37] Generated Node #2: [47, 9, 37] from Operation: 66-29=37 Current State: 19:[47, 9, 37], Operations: ['66-29=37'] Exploring Operation: 47+9=56, Resulting Numbers: [37, 56] Generated Node #3: [37, 56] from Operation: 47+9=56 Current State: 19:[37, 56], Operations: ['66-29=37', '47+9=56'] Exploring Operation: 56-37=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 18, 65, 24, 63 ]
21
[ "18+24=42", "65-63=2", "42/2=21" ]
Current State: 21:[18, 65, 24, 63], Operations: [] Exploring Operation: 18+24=42, Resulting Numbers: [65, 63, 42] Generated Node #2: [65, 63, 42] from Operation: 18+24=42 Current State: 21:[65, 63, 42], Operations: ['18+24=42'] Exploring Operation: 65-63=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 65-63=2 Current State: 21:[42, 2], Operations: ['18+24=42', '65-63=2'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 39, 30, 6, 23 ]
40
[ "39+30=69", "6+23=29", "69-29=40" ]
Current State: 40:[39, 30, 6, 23], Operations: [] Exploring Operation: 39+30=69, Resulting Numbers: [6, 23, 69] Generated Node #2: [6, 23, 69] from Operation: 39+30=69 Current State: 40:[6, 23, 69], Operations: ['39+30=69'] Exploring Operation: 6+23=29, Resulting Numbers: [69, 29] Generated Node #3: [69, 29] from Operation: 6+23=29 Current State: 40:[69, 29], Operations: ['39+30=69', '6+23=29'] Exploring Operation: 69-29=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 61, 63, 42, 31 ]
51
[ "61+63=124", "42+31=73", "124-73=51" ]
Current State: 51:[61, 63, 42, 31], Operations: [] Exploring Operation: 61+63=124, Resulting Numbers: [42, 31, 124] Generated Node #2: [42, 31, 124] from Operation: 61+63=124 Current State: 51:[42, 31, 124], Operations: ['61+63=124'] Exploring Operation: 42+31=73, Resulting Numbers: [124, 73] Generated Node #3: [124, 73] from Operation: 42+31=73 Current State: 51:[124, 73], Operations: ['61+63=124', '42+31=73'] Exploring Operation: 124-73=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 90, 75, 54, 35 ]
34
[ "90-75=15", "54-35=19", "15+19=34" ]
Current State: 34:[90, 75, 54, 35], Operations: [] Exploring Operation: 90-75=15, Resulting Numbers: [54, 35, 15] Generated Node #2: [54, 35, 15] from Operation: 90-75=15 Current State: 34:[54, 35, 15], Operations: ['90-75=15'] Exploring Operation: 54-35=19, Resulting Numbers: [15, 19] Generated Node #3: [15, 19] from Operation: 54-35=19 Current State: 34:[15, 19], Operations: ['90-75=15', '54-35=19'] Exploring Operation: 15+19=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 87, 55, 51, 7 ]
90
[ "87-55=32", "51+7=58", "32+58=90" ]
Current State: 90:[87, 55, 51, 7], Operations: [] Exploring Operation: 87-55=32, Resulting Numbers: [51, 7, 32] Generated Node #2: [51, 7, 32] from Operation: 87-55=32 Current State: 90:[51, 7, 32], Operations: ['87-55=32'] Exploring Operation: 51+7=58, Resulting Numbers: [32, 58] Generated Node #3: [32, 58] from Operation: 51+7=58 Current State: 90:[32, 58], Operations: ['87-55=32', '51+7=58'] Exploring Operation: 32+58=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 91, 81, 13, 7 ]
30
[ "91-81=10", "13+7=20", "10+20=30" ]
Current State: 30:[91, 81, 13, 7], Operations: [] Exploring Operation: 91-81=10, Resulting Numbers: [13, 7, 10] Generated Node #2: [13, 7, 10] from Operation: 91-81=10 Current State: 30:[13, 7, 10], Operations: ['91-81=10'] Exploring Operation: 13+7=20, Resulting Numbers: [10, 20] Generated Node #3: [10, 20] from Operation: 13+7=20 Current State: 30:[10, 20], Operations: ['91-81=10', '13+7=20'] Exploring Operation: 10+20=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 57, 14, 75, 18 ]
33
[ "57+75=132", "18-14=4", "132/4=33" ]
Current State: 33:[57, 14, 75, 18], Operations: [] Exploring Operation: 57+75=132, Resulting Numbers: [14, 18, 132] Generated Node #2: [14, 18, 132] from Operation: 57+75=132 Current State: 33:[14, 18, 132], Operations: ['57+75=132'] Exploring Operation: 18-14=4, Resulting Numbers: [132, 4] Generated Node #3: [132, 4] from Operation: 18-14=4 Current State: 33:[132, 4], Operations: ['57+75=132', '18-14=4'] Exploring Operation: 132/4=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 84, 10, 15, 26 ]
46
[ "15-10=5", "26*5=130", "130-84=46" ]
Current State: 46:[84, 10, 15, 26], Operations: [] Exploring Operation: 15-10=5, Resulting Numbers: [84, 26, 5] Generated Node #2: [84, 26, 5] from Operation: 15-10=5 Current State: 46:[84, 26, 5], Operations: ['15-10=5'] Exploring Operation: 26*5=130, Resulting Numbers: [84, 130] Generated Node #3: [84, 130] from Operation: 26*5=130 Current State: 46:[84, 130], Operations: ['15-10=5', '26*5=130'] Exploring Operation: 130-84=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4