Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 37, 41, 74, 4 ]
16
[ "37+41=78", "78-74=4", "4*4=16" ]
Current State: 16:[37, 41, 74, 4], Operations: [] Exploring Operation: 37+41=78, Resulting Numbers: [74, 4, 78] Generated Node #2: [74, 4, 78] from Operation: 37+41=78 Current State: 16:[74, 4, 78], Operations: ['37+41=78'] Exploring Operation: 78-74=4, Resulting Numbers: [4, 4] Generated Node #3: [4, 4] from Operation: 78-74=4 Current State: 16:[4, 4], Operations: ['37+41=78', '78-74=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 91, 98, 49, 7 ]
50
[ "98-91=7", "7/7=1", "49+1=50" ]
Current State: 50:[91, 98, 49, 7], Operations: [] Exploring Operation: 98-91=7, Resulting Numbers: [49, 7, 7] Generated Node #2: [49, 7, 7] from Operation: 98-91=7 Current State: 50:[49, 7, 7], Operations: ['98-91=7'] Exploring Operation: 7/7=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 7/7=1 Current State: 50:[49, 1], Operations: ['98-91=7', '7/7=1'] Exploring Operation: 49+1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 88, 86, 78, 15 ]
95
[ "88-86=2", "78+15=93", "2+93=95" ]
Current State: 95:[88, 86, 78, 15], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [78, 15, 2] Generated Node #2: [78, 15, 2] from Operation: 88-86=2 Current State: 95:[78, 15, 2], Operations: ['88-86=2'] Exploring Operation: 78+15=93, Resulting Numbers: [2, 93] Generated Node #3: [2, 93] from Operation: 78+15=93 Current State: 95:[2, 93], Operations: ['88-86=2', '78+15=93'] Exploring Operation: 2+93=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 10, 6, 4, 55 ]
75
[ "10+6=16", "4+55=59", "16+59=75" ]
Current State: 75:[10, 6, 4, 55], Operations: [] Exploring Operation: 10+6=16, Resulting Numbers: [4, 55, 16] Generated Node #2: [4, 55, 16] from Operation: 10+6=16 Current State: 75:[4, 55, 16], Operations: ['10+6=16'] Exploring Operation: 4+55=59, Resulting Numbers: [16, 59] Generated Node #3: [16, 59] from Operation: 4+55=59 Current State: 75:[16, 59], Operations: ['10+6=16', '4+55=59'] Exploring Operation: 16+59=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 80, 55, 61, 57 ]
21
[ "80-55=25", "61-57=4", "25-4=21" ]
Current State: 21:[80, 55, 61, 57], Operations: [] Exploring Operation: 80-55=25, Resulting Numbers: [61, 57, 25] Generated Node #2: [61, 57, 25] from Operation: 80-55=25 Current State: 21:[61, 57, 25], Operations: ['80-55=25'] Exploring Operation: 61-57=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 61-57=4 Current State: 21:[25, 4], Operations: ['80-55=25', '61-57=4'] Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 84, 58, 87, 26 ]
96
[ "87-84=3", "58-26=32", "3*32=96" ]
Current State: 96:[84, 58, 87, 26], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [58, 26, 3] Generated Node #2: [58, 26, 3] from Operation: 87-84=3 Current State: 96:[58, 26, 3], Operations: ['87-84=3'] Exploring Operation: 58-26=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 58-26=32 Current State: 96:[3, 32], Operations: ['87-84=3', '58-26=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 93, 84, 95 ]
50
[ "95-84=11", "13*11=143", "143-93=50" ]
Current State: 50:[13, 93, 84, 95], Operations: [] Exploring Operation: 95-84=11, Resulting Numbers: [13, 93, 11] Generated Node #2: [13, 93, 11] from Operation: 95-84=11 Current State: 50:[13, 93, 11], Operations: ['95-84=11'] Exploring Operation: 13*11=143, Resulting Numbers: [93, 143] Generated Node #3: [93, 143] from Operation: 13*11=143 Current State: 50:[93, 143], Operations: ['95-84=11', '13*11=143'] Exploring Operation: 143-93=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 64, 66, 83, 18 ]
64
[ "83-66=17", "18-17=1", "64*1=64" ]
Current State: 64:[64, 66, 83, 18], Operations: [] Exploring Operation: 83-66=17, Resulting Numbers: [64, 18, 17] Generated Node #2: [64, 18, 17] from Operation: 83-66=17 Current State: 64:[64, 18, 17], Operations: ['83-66=17'] Exploring Operation: 18-17=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 18-17=1 Current State: 64:[64, 1], Operations: ['83-66=17', '18-17=1'] Exploring Operation: 64*1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 8, 41, 88, 24 ]
15
[ "8+41=49", "88-24=64", "64-49=15" ]
Current State: 15:[8, 41, 88, 24], Operations: [] Exploring Operation: 8+41=49, Resulting Numbers: [88, 24, 49] Generated Node #2: [88, 24, 49] from Operation: 8+41=49 Current State: 15:[88, 24, 49], Operations: ['8+41=49'] Exploring Operation: 88-24=64, Resulting Numbers: [49, 64] Generated Node #3: [49, 64] from Operation: 88-24=64 Current State: 15:[49, 64], Operations: ['8+41=49', '88-24=64'] Exploring Operation: 64-49=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 7, 55, 14, 45 ]
28
[ "55-14=41", "45-41=4", "7*4=28" ]
Current State: 28:[7, 55, 14, 45], Operations: [] Exploring Operation: 55-14=41, Resulting Numbers: [7, 45, 41] Generated Node #2: [7, 45, 41] from Operation: 55-14=41 Current State: 28:[7, 45, 41], Operations: ['55-14=41'] Exploring Operation: 45-41=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 45-41=4 Current State: 28:[7, 4], Operations: ['55-14=41', '45-41=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 16, 78, 4, 72 ]
86
[ "16*4=64", "78+72=150", "150-64=86" ]
Current State: 86:[16, 78, 4, 72], Operations: [] Exploring Operation: 16*4=64, Resulting Numbers: [78, 72, 64] Generated Node #2: [78, 72, 64] from Operation: 16*4=64 Current State: 86:[78, 72, 64], Operations: ['16*4=64'] Exploring Operation: 78+72=150, Resulting Numbers: [64, 150] Generated Node #3: [64, 150] from Operation: 78+72=150 Current State: 86:[64, 150], Operations: ['16*4=64', '78+72=150'] Exploring Operation: 150-64=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 32, 16, 56, 80 ]
49
[ "32+80=112", "112/16=7", "56-7=49" ]
Current State: 49:[32, 16, 56, 80], Operations: [] Exploring Operation: 32+80=112, Resulting Numbers: [16, 56, 112] Generated Node #2: [16, 56, 112] from Operation: 32+80=112 Current State: 49:[16, 56, 112], Operations: ['32+80=112'] Exploring Operation: 112/16=7, Resulting Numbers: [56, 7] Generated Node #3: [56, 7] from Operation: 112/16=7 Current State: 49:[56, 7], Operations: ['32+80=112', '112/16=7'] Exploring Operation: 56-7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 23, 55, 47, 46 ]
77
[ "23+55=78", "47-46=1", "78-1=77" ]
Current State: 77:[23, 55, 47, 46], Operations: [] Exploring Operation: 23+55=78, Resulting Numbers: [47, 46, 78] Generated Node #2: [47, 46, 78] from Operation: 23+55=78 Current State: 77:[47, 46, 78], Operations: ['23+55=78'] Exploring Operation: 47-46=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 47-46=1 Current State: 77:[78, 1], Operations: ['23+55=78', '47-46=1'] Exploring Operation: 78-1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 99, 16, 30, 17 ]
90
[ "99*30=2970", "16+17=33", "2970/33=90" ]
Current State: 90:[99, 16, 30, 17], Operations: [] Exploring Operation: 99*30=2970, Resulting Numbers: [16, 17, 2970] Generated Node #2: [16, 17, 2970] from Operation: 99*30=2970 Current State: 90:[16, 17, 2970], Operations: ['99*30=2970'] Exploring Operation: 16+17=33, Resulting Numbers: [2970, 33] Generated Node #3: [2970, 33] from Operation: 16+17=33 Current State: 90:[2970, 33], Operations: ['99*30=2970', '16+17=33'] Exploring Operation: 2970/33=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 31, 26, 33, 87 ]
35
[ "33-31=2", "26*2=52", "87-52=35" ]
Current State: 35:[31, 26, 33, 87], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [26, 87, 2] Generated Node #2: [26, 87, 2] from Operation: 33-31=2 Current State: 35:[26, 87, 2], Operations: ['33-31=2'] Exploring Operation: 26*2=52, Resulting Numbers: [87, 52] Generated Node #3: [87, 52] from Operation: 26*2=52 Current State: 35:[87, 52], Operations: ['33-31=2', '26*2=52'] Exploring Operation: 87-52=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 4, 72, 4, 34 ]
54
[ "4*4=16", "72-34=38", "16+38=54" ]
Current State: 54:[4, 72, 4, 34], Operations: [] Exploring Operation: 4*4=16, Resulting Numbers: [72, 34, 16] Generated Node #2: [72, 34, 16] from Operation: 4*4=16 Current State: 54:[72, 34, 16], Operations: ['4*4=16'] Exploring Operation: 72-34=38, Resulting Numbers: [16, 38] Generated Node #3: [16, 38] from Operation: 72-34=38 Current State: 54:[16, 38], Operations: ['4*4=16', '72-34=38'] Exploring Operation: 16+38=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 6, 4, 68, 50 ]
66
[ "68-50=18", "4*18=72", "72-6=66" ]
Current State: 66:[6, 4, 68, 50], Operations: [] Exploring Operation: 68-50=18, Resulting Numbers: [6, 4, 18] Generated Node #2: [6, 4, 18] from Operation: 68-50=18 Current State: 66:[6, 4, 18], Operations: ['68-50=18'] Exploring Operation: 4*18=72, Resulting Numbers: [6, 72] Generated Node #3: [6, 72] from Operation: 4*18=72 Current State: 66:[6, 72], Operations: ['68-50=18', '4*18=72'] Exploring Operation: 72-6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 86, 1, 96, 25 ]
15
[ "86*1=86", "96-25=71", "86-71=15" ]
Current State: 15:[86, 1, 96, 25], Operations: [] Exploring Operation: 86*1=86, Resulting Numbers: [96, 25, 86] Generated Node #2: [96, 25, 86] from Operation: 86*1=86 Current State: 15:[96, 25, 86], Operations: ['86*1=86'] Exploring Operation: 96-25=71, Resulting Numbers: [86, 71] Generated Node #3: [86, 71] from Operation: 96-25=71 Current State: 15:[86, 71], Operations: ['86*1=86', '96-25=71'] Exploring Operation: 86-71=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 60, 75, 71, 45 ]
30
[ "75-71=4", "60/4=15", "45-15=30" ]
Current State: 30:[60, 75, 71, 45], Operations: [] Exploring Operation: 75-71=4, Resulting Numbers: [60, 45, 4] Generated Node #2: [60, 45, 4] from Operation: 75-71=4 Current State: 30:[60, 45, 4], Operations: ['75-71=4'] Exploring Operation: 60/4=15, Resulting Numbers: [45, 15] Generated Node #3: [45, 15] from Operation: 60/4=15 Current State: 30:[45, 15], Operations: ['75-71=4', '60/4=15'] Exploring Operation: 45-15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 9, 20, 7, 83 ]
86
[ "20+7=27", "27/9=3", "83+3=86" ]
Current State: 86:[9, 20, 7, 83], Operations: [] Exploring Operation: 20+7=27, Resulting Numbers: [9, 83, 27] Generated Node #2: [9, 83, 27] from Operation: 20+7=27 Current State: 86:[9, 83, 27], Operations: ['20+7=27'] Exploring Operation: 27/9=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 27/9=3 Current State: 86:[83, 3], Operations: ['20+7=27', '27/9=3'] Exploring Operation: 83+3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 35, 15, 8, 34 ]
76
[ "35+15=50", "34-8=26", "50+26=76" ]
Current State: 76:[35, 15, 8, 34], Operations: [] Exploring Operation: 35+15=50, Resulting Numbers: [8, 34, 50] Generated Node #2: [8, 34, 50] from Operation: 35+15=50 Current State: 76:[8, 34, 50], Operations: ['35+15=50'] Exploring Operation: 34-8=26, Resulting Numbers: [50, 26] Generated Node #3: [50, 26] from Operation: 34-8=26 Current State: 76:[50, 26], Operations: ['35+15=50', '34-8=26'] Exploring Operation: 50+26=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 20, 50, 31, 21 ]
52
[ "31-21=10", "20/10=2", "50+2=52" ]
Current State: 52:[20, 50, 31, 21], Operations: [] Exploring Operation: 31-21=10, Resulting Numbers: [20, 50, 10] Generated Node #2: [20, 50, 10] from Operation: 31-21=10 Current State: 52:[20, 50, 10], Operations: ['31-21=10'] Exploring Operation: 20/10=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 20/10=2 Current State: 52:[50, 2], Operations: ['31-21=10', '20/10=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 73, 14, 37, 38 ]
59
[ "73-14=59", "38-37=1", "59*1=59" ]
Current State: 59:[73, 14, 37, 38], Operations: [] Exploring Operation: 73-14=59, Resulting Numbers: [37, 38, 59] Generated Node #2: [37, 38, 59] from Operation: 73-14=59 Current State: 59:[37, 38, 59], Operations: ['73-14=59'] Exploring Operation: 38-37=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 38-37=1 Current State: 59:[59, 1], Operations: ['73-14=59', '38-37=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 8, 70, 16, 10 ]
40
[ "8*70=560", "560/10=56", "56-16=40" ]
Current State: 40:[8, 70, 16, 10], Operations: [] Exploring Operation: 8*70=560, Resulting Numbers: [16, 10, 560] Generated Node #2: [16, 10, 560] from Operation: 8*70=560 Current State: 40:[16, 10, 560], Operations: ['8*70=560'] Exploring Operation: 560/10=56, Resulting Numbers: [16, 56] Generated Node #3: [16, 56] from Operation: 560/10=56 Current State: 40:[16, 56], Operations: ['8*70=560', '560/10=56'] Exploring Operation: 56-16=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 80, 39, 19, 39 ]
17
[ "80-39=41", "19+39=58", "58-41=17" ]
Current State: 17:[80, 39, 19, 39], Operations: [] Exploring Operation: 80-39=41, Resulting Numbers: [19, 41] Generated Node #2: [19, 41] from Operation: 80-39=41 Current State: 17:[19, 41], Operations: ['80-39=41'] Exploring Operation: 19+39=58, Resulting Numbers: [41, 58] Generated Node #3: [41, 58] from Operation: 19+39=58 Current State: 17:[41, 58], Operations: ['80-39=41', '19+39=58'] Exploring Operation: 58-41=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 2, 48, 16, 49 ]
83
[ "2+48=50", "49-16=33", "50+33=83" ]
Current State: 83:[2, 48, 16, 49], Operations: [] Exploring Operation: 2+48=50, Resulting Numbers: [16, 49, 50] Generated Node #2: [16, 49, 50] from Operation: 2+48=50 Current State: 83:[16, 49, 50], Operations: ['2+48=50'] Exploring Operation: 49-16=33, Resulting Numbers: [50, 33] Generated Node #3: [50, 33] from Operation: 49-16=33 Current State: 83:[50, 33], Operations: ['2+48=50', '49-16=33'] Exploring Operation: 50+33=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 79, 65, 78, 97 ]
33
[ "79-65=14", "97-78=19", "14+19=33" ]
Current State: 33:[79, 65, 78, 97], Operations: [] Exploring Operation: 79-65=14, Resulting Numbers: [78, 97, 14] Generated Node #2: [78, 97, 14] from Operation: 79-65=14 Current State: 33:[78, 97, 14], Operations: ['79-65=14'] Exploring Operation: 97-78=19, Resulting Numbers: [14, 19] Generated Node #3: [14, 19] from Operation: 97-78=19 Current State: 33:[14, 19], Operations: ['79-65=14', '97-78=19'] Exploring Operation: 14+19=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 72, 48, 66, 17 ]
25
[ "72-48=24", "66-17=49", "49-24=25" ]
Current State: 25:[72, 48, 66, 17], Operations: [] Exploring Operation: 72-48=24, Resulting Numbers: [66, 17, 24] Generated Node #2: [66, 17, 24] from Operation: 72-48=24 Current State: 25:[66, 17, 24], Operations: ['72-48=24'] Exploring Operation: 66-17=49, Resulting Numbers: [24, 49] Generated Node #3: [24, 49] from Operation: 66-17=49 Current State: 25:[24, 49], Operations: ['72-48=24', '66-17=49'] Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 27, 28, 34, 4 ]
56
[ "34-27=7", "4*7=28", "28+28=56" ]
Current State: 56:[27, 28, 34, 4], Operations: [] Exploring Operation: 34-27=7, Resulting Numbers: [28, 4, 7] Generated Node #2: [28, 4, 7] from Operation: 34-27=7 Current State: 56:[28, 4, 7], Operations: ['34-27=7'] Exploring Operation: 4*7=28, Resulting Numbers: [28, 28] Generated Node #3: [28, 28] from Operation: 4*7=28 Current State: 56:[28, 28], Operations: ['34-27=7', '4*7=28'] Exploring Operation: 28+28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 85, 58, 82, 91 ]
99
[ "85-82=3", "91-58=33", "3*33=99" ]
Current State: 99:[85, 58, 82, 91], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [58, 91, 3] Generated Node #2: [58, 91, 3] from Operation: 85-82=3 Current State: 99:[58, 91, 3], Operations: ['85-82=3'] Exploring Operation: 91-58=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 91-58=33 Current State: 99:[3, 33], Operations: ['85-82=3', '91-58=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 6, 63, 40, 41 ]
68
[ "6+63=69", "41-40=1", "69-1=68" ]
Current State: 68:[6, 63, 40, 41], Operations: [] Exploring Operation: 6+63=69, Resulting Numbers: [40, 41, 69] Generated Node #2: [40, 41, 69] from Operation: 6+63=69 Current State: 68:[40, 41, 69], Operations: ['6+63=69'] Exploring Operation: 41-40=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 41-40=1 Current State: 68:[69, 1], Operations: ['6+63=69', '41-40=1'] Exploring Operation: 69-1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 57, 11, 68, 20 ]
95
[ "57+68=125", "11*20=220", "220-125=95" ]
Current State: 95:[57, 11, 68, 20], Operations: [] Exploring Operation: 57+68=125, Resulting Numbers: [11, 20, 125] Generated Node #2: [11, 20, 125] from Operation: 57+68=125 Current State: 95:[11, 20, 125], Operations: ['57+68=125'] Exploring Operation: 11*20=220, Resulting Numbers: [125, 220] Generated Node #3: [125, 220] from Operation: 11*20=220 Current State: 95:[125, 220], Operations: ['57+68=125', '11*20=220'] Exploring Operation: 220-125=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 24, 67, 6, 99 ]
28
[ "24/6=4", "99-67=32", "32-4=28" ]
Current State: 28:[24, 67, 6, 99], Operations: [] Exploring Operation: 24/6=4, Resulting Numbers: [67, 99, 4] Generated Node #2: [67, 99, 4] from Operation: 24/6=4 Current State: 28:[67, 99, 4], Operations: ['24/6=4'] Exploring Operation: 99-67=32, Resulting Numbers: [4, 32] Generated Node #3: [4, 32] from Operation: 99-67=32 Current State: 28:[4, 32], Operations: ['24/6=4', '99-67=32'] Exploring Operation: 32-4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 60, 82, 2, 16 ]
68
[ "60/2=30", "82+16=98", "98-30=68" ]
Current State: 68:[60, 82, 2, 16], Operations: [] Exploring Operation: 60/2=30, Resulting Numbers: [82, 16, 30] Generated Node #2: [82, 16, 30] from Operation: 60/2=30 Current State: 68:[82, 16, 30], Operations: ['60/2=30'] Exploring Operation: 82+16=98, Resulting Numbers: [30, 98] Generated Node #3: [30, 98] from Operation: 82+16=98 Current State: 68:[30, 98], Operations: ['60/2=30', '82+16=98'] Exploring Operation: 98-30=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 26, 89, 10, 14 ]
93
[ "26+14=40", "40/10=4", "89+4=93" ]
Current State: 93:[26, 89, 10, 14], Operations: [] Exploring Operation: 26+14=40, Resulting Numbers: [89, 10, 40] Generated Node #2: [89, 10, 40] from Operation: 26+14=40 Current State: 93:[89, 10, 40], Operations: ['26+14=40'] Exploring Operation: 40/10=4, Resulting Numbers: [89, 4] Generated Node #3: [89, 4] from Operation: 40/10=4 Current State: 93:[89, 4], Operations: ['26+14=40', '40/10=4'] Exploring Operation: 89+4=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 1, 7, 46, 44 ]
15
[ "7-1=6", "46+44=90", "90/6=15" ]
Current State: 15:[1, 7, 46, 44], Operations: [] Exploring Operation: 7-1=6, Resulting Numbers: [46, 44, 6] Generated Node #2: [46, 44, 6] from Operation: 7-1=6 Current State: 15:[46, 44, 6], Operations: ['7-1=6'] Exploring Operation: 46+44=90, Resulting Numbers: [6, 90] Generated Node #3: [6, 90] from Operation: 46+44=90 Current State: 15:[6, 90], Operations: ['7-1=6', '46+44=90'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 51, 86, 55, 88 ]
59
[ "88-86=2", "55*2=110", "110-51=59" ]
Current State: 59:[51, 86, 55, 88], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [51, 55, 2] Generated Node #2: [51, 55, 2] from Operation: 88-86=2 Current State: 59:[51, 55, 2], Operations: ['88-86=2'] Exploring Operation: 55*2=110, Resulting Numbers: [51, 110] Generated Node #3: [51, 110] from Operation: 55*2=110 Current State: 59:[51, 110], Operations: ['88-86=2', '55*2=110'] Exploring Operation: 110-51=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 20, 6, 50, 83 ]
88
[ "50-20=30", "30/6=5", "83+5=88" ]
Current State: 88:[20, 6, 50, 83], Operations: [] Exploring Operation: 50-20=30, Resulting Numbers: [6, 83, 30] Generated Node #2: [6, 83, 30] from Operation: 50-20=30 Current State: 88:[6, 83, 30], Operations: ['50-20=30'] Exploring Operation: 30/6=5, Resulting Numbers: [83, 5] Generated Node #3: [83, 5] from Operation: 30/6=5 Current State: 88:[83, 5], Operations: ['50-20=30', '30/6=5'] Exploring Operation: 83+5=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 36, 54, 24, 34 ]
39
[ "36-34=2", "54+24=78", "78/2=39" ]
Current State: 39:[36, 54, 24, 34], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [54, 24, 2] Generated Node #2: [54, 24, 2] from Operation: 36-34=2 Current State: 39:[54, 24, 2], Operations: ['36-34=2'] Exploring Operation: 54+24=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 54+24=78 Current State: 39:[2, 78], Operations: ['36-34=2', '54+24=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 20, 26, 9, 64 ]
96
[ "26-20=6", "9*64=576", "576/6=96" ]
Current State: 96:[20, 26, 9, 64], Operations: [] Exploring Operation: 26-20=6, Resulting Numbers: [9, 64, 6] Generated Node #2: [9, 64, 6] from Operation: 26-20=6 Current State: 96:[9, 64, 6], Operations: ['26-20=6'] Exploring Operation: 9*64=576, Resulting Numbers: [6, 576] Generated Node #3: [6, 576] from Operation: 9*64=576 Current State: 96:[6, 576], Operations: ['26-20=6', '9*64=576'] Exploring Operation: 576/6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 5, 65, 96, 71 ]
97
[ "5+65=70", "96+71=167", "167-70=97" ]
Current State: 97:[5, 65, 96, 71], Operations: [] Exploring Operation: 5+65=70, Resulting Numbers: [96, 71, 70] Generated Node #2: [96, 71, 70] from Operation: 5+65=70 Current State: 97:[96, 71, 70], Operations: ['5+65=70'] Exploring Operation: 96+71=167, Resulting Numbers: [70, 167] Generated Node #3: [70, 167] from Operation: 96+71=167 Current State: 97:[70, 167], Operations: ['5+65=70', '96+71=167'] Exploring Operation: 167-70=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 63, 18, 18, 24 ]
60
[ "63-18=45", "24*45=1080", "1080/18=60" ]
Current State: 60:[63, 18, 18, 24], Operations: [] Exploring Operation: 63-18=45, Resulting Numbers: [24, 45] Generated Node #2: [24, 45] from Operation: 63-18=45 Current State: 60:[24, 45], Operations: ['63-18=45'] Exploring Operation: 24*45=1080, Resulting Numbers: [1080] 1080,60 equal: Goal Reached Exploring Operation: 1080/18=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 11, 33, 68, 9 ]
74
[ "33/11=3", "68+9=77", "77-3=74" ]
Current State: 74:[11, 33, 68, 9], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [68, 9, 3] Generated Node #2: [68, 9, 3] from Operation: 33/11=3 Current State: 74:[68, 9, 3], Operations: ['33/11=3'] Exploring Operation: 68+9=77, Resulting Numbers: [3, 77] Generated Node #3: [3, 77] from Operation: 68+9=77 Current State: 74:[3, 77], Operations: ['33/11=3', '68+9=77'] Exploring Operation: 77-3=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 65, 77, 89, 10 ]
78
[ "89-77=12", "65*12=780", "780/10=78" ]
Current State: 78:[65, 77, 89, 10], Operations: [] Exploring Operation: 89-77=12, Resulting Numbers: [65, 10, 12] Generated Node #2: [65, 10, 12] from Operation: 89-77=12 Current State: 78:[65, 10, 12], Operations: ['89-77=12'] Exploring Operation: 65*12=780, Resulting Numbers: [10, 780] Generated Node #3: [10, 780] from Operation: 65*12=780 Current State: 78:[10, 780], Operations: ['89-77=12', '65*12=780'] Exploring Operation: 780/10=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 5, 59, 53, 52 ]
12
[ "59+53=112", "112-52=60", "60/5=12" ]
Current State: 12:[5, 59, 53, 52], Operations: [] Exploring Operation: 59+53=112, Resulting Numbers: [5, 52, 112] Generated Node #2: [5, 52, 112] from Operation: 59+53=112 Current State: 12:[5, 52, 112], Operations: ['59+53=112'] Exploring Operation: 112-52=60, Resulting Numbers: [5, 60] Generated Node #3: [5, 60] from Operation: 112-52=60 Current State: 12:[5, 60], Operations: ['59+53=112', '112-52=60'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 35, 87, 32, 31 ]
60
[ "35-32=3", "87/3=29", "31+29=60" ]
Current State: 60:[35, 87, 32, 31], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [87, 31, 3] Generated Node #2: [87, 31, 3] from Operation: 35-32=3 Current State: 60:[87, 31, 3], Operations: ['35-32=3'] Exploring Operation: 87/3=29, Resulting Numbers: [31, 29] Generated Node #3: [31, 29] from Operation: 87/3=29 Current State: 60:[31, 29], Operations: ['35-32=3', '87/3=29'] Exploring Operation: 31+29=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 96, 36, 49, 32 ]
73
[ "36-32=4", "96/4=24", "49+24=73" ]
Current State: 73:[96, 36, 49, 32], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [96, 49, 4] Generated Node #2: [96, 49, 4] from Operation: 36-32=4 Current State: 73:[96, 49, 4], Operations: ['36-32=4'] Exploring Operation: 96/4=24, Resulting Numbers: [49, 24] Generated Node #3: [49, 24] from Operation: 96/4=24 Current State: 73:[49, 24], Operations: ['36-32=4', '96/4=24'] Exploring Operation: 49+24=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 67, 2, 65, 46 ]
46
[ "67-2=65", "65+46=111", "111-65=46" ]
Current State: 46:[67, 2, 65, 46], Operations: [] Exploring Operation: 67-2=65, Resulting Numbers: [65, 46, 65] Generated Node #2: [65, 46, 65] from Operation: 67-2=65 Current State: 46:[65, 46, 65], Operations: ['67-2=65'] Exploring Operation: 65+46=111, Resulting Numbers: [111] 111,46 equal: Goal Reached Exploring Operation: 111-65=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 1, 4, 85, 3 ]
74
[ "1+85=86", "4*3=12", "86-12=74" ]
Current State: 74:[1, 4, 85, 3], Operations: [] Exploring Operation: 1+85=86, Resulting Numbers: [4, 3, 86] Generated Node #2: [4, 3, 86] from Operation: 1+85=86 Current State: 74:[4, 3, 86], Operations: ['1+85=86'] Exploring Operation: 4*3=12, Resulting Numbers: [86, 12] Generated Node #3: [86, 12] from Operation: 4*3=12 Current State: 74:[86, 12], Operations: ['1+85=86', '4*3=12'] Exploring Operation: 86-12=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 89, 66, 58, 55 ]
67
[ "58-55=3", "66/3=22", "89-22=67" ]
Current State: 67:[89, 66, 58, 55], Operations: [] Exploring Operation: 58-55=3, Resulting Numbers: [89, 66, 3] Generated Node #2: [89, 66, 3] from Operation: 58-55=3 Current State: 67:[89, 66, 3], Operations: ['58-55=3'] Exploring Operation: 66/3=22, Resulting Numbers: [89, 22] Generated Node #3: [89, 22] from Operation: 66/3=22 Current State: 67:[89, 22], Operations: ['58-55=3', '66/3=22'] Exploring Operation: 89-22=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 39, 78, 7, 52 ]
43
[ "78/39=2", "52-7=45", "45-2=43" ]
Current State: 43:[39, 78, 7, 52], Operations: [] Exploring Operation: 78/39=2, Resulting Numbers: [7, 52, 2] Generated Node #2: [7, 52, 2] from Operation: 78/39=2 Current State: 43:[7, 52, 2], Operations: ['78/39=2'] Exploring Operation: 52-7=45, Resulting Numbers: [2, 45] Generated Node #3: [2, 45] from Operation: 52-7=45 Current State: 43:[2, 45], Operations: ['78/39=2', '52-7=45'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 9, 90, 73 ]
12
[ "9-4=5", "90-73=17", "17-5=12" ]
Current State: 12:[4, 9, 90, 73], Operations: [] Exploring Operation: 9-4=5, Resulting Numbers: [90, 73, 5] Generated Node #2: [90, 73, 5] from Operation: 9-4=5 Current State: 12:[90, 73, 5], Operations: ['9-4=5'] Exploring Operation: 90-73=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 90-73=17 Current State: 12:[5, 17], Operations: ['9-4=5', '90-73=17'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 61, 1, 25, 1 ]
97
[ "1+1=2", "61*2=122", "122-25=97" ]
Current State: 97:[61, 1, 25, 1], Operations: [] Exploring Operation: 1+1=2, Resulting Numbers: [61, 25, 2] Generated Node #2: [61, 25, 2] from Operation: 1+1=2 Current State: 97:[61, 25, 2], Operations: ['1+1=2'] Exploring Operation: 61*2=122, Resulting Numbers: [25, 122] Generated Node #3: [25, 122] from Operation: 61*2=122 Current State: 97:[25, 122], Operations: ['1+1=2', '61*2=122'] Exploring Operation: 122-25=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 75, 66, 15, 64 ]
71
[ "75-66=9", "15*9=135", "135-64=71" ]
Current State: 71:[75, 66, 15, 64], Operations: [] Exploring Operation: 75-66=9, Resulting Numbers: [15, 64, 9] Generated Node #2: [15, 64, 9] from Operation: 75-66=9 Current State: 71:[15, 64, 9], Operations: ['75-66=9'] Exploring Operation: 15*9=135, Resulting Numbers: [64, 135] Generated Node #3: [64, 135] from Operation: 15*9=135 Current State: 71:[64, 135], Operations: ['75-66=9', '15*9=135'] Exploring Operation: 135-64=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 15, 72, 78, 23 ]
67
[ "78-72=6", "15*6=90", "90-23=67" ]
Current State: 67:[15, 72, 78, 23], Operations: [] Exploring Operation: 78-72=6, Resulting Numbers: [15, 23, 6] Generated Node #2: [15, 23, 6] from Operation: 78-72=6 Current State: 67:[15, 23, 6], Operations: ['78-72=6'] Exploring Operation: 15*6=90, Resulting Numbers: [23, 90] Generated Node #3: [23, 90] from Operation: 15*6=90 Current State: 67:[23, 90], Operations: ['78-72=6', '15*6=90'] Exploring Operation: 90-23=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 1, 25, 28, 99 ]
45
[ "1+25=26", "99-28=71", "71-26=45" ]
Current State: 45:[1, 25, 28, 99], Operations: [] Exploring Operation: 1+25=26, Resulting Numbers: [28, 99, 26] Generated Node #2: [28, 99, 26] from Operation: 1+25=26 Current State: 45:[28, 99, 26], Operations: ['1+25=26'] Exploring Operation: 99-28=71, Resulting Numbers: [26, 71] Generated Node #3: [26, 71] from Operation: 99-28=71 Current State: 45:[26, 71], Operations: ['1+25=26', '99-28=71'] Exploring Operation: 71-26=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 54, 40, 2, 37 ]
60
[ "54-40=14", "2*37=74", "74-14=60" ]
Current State: 60:[54, 40, 2, 37], Operations: [] Exploring Operation: 54-40=14, Resulting Numbers: [2, 37, 14] Generated Node #2: [2, 37, 14] from Operation: 54-40=14 Current State: 60:[2, 37, 14], Operations: ['54-40=14'] Exploring Operation: 2*37=74, Resulting Numbers: [14, 74] Generated Node #3: [14, 74] from Operation: 2*37=74 Current State: 60:[14, 74], Operations: ['54-40=14', '2*37=74'] Exploring Operation: 74-14=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 85, 10, 96, 61 ]
49
[ "96-85=11", "10*11=110", "110-61=49" ]
Current State: 49:[85, 10, 96, 61], Operations: [] Exploring Operation: 96-85=11, Resulting Numbers: [10, 61, 11] Generated Node #2: [10, 61, 11] from Operation: 96-85=11 Current State: 49:[10, 61, 11], Operations: ['96-85=11'] Exploring Operation: 10*11=110, Resulting Numbers: [61, 110] Generated Node #3: [61, 110] from Operation: 10*11=110 Current State: 49:[61, 110], Operations: ['96-85=11', '10*11=110'] Exploring Operation: 110-61=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 6, 69, 42, 7 ]
28
[ "69-6=63", "42-7=35", "63-35=28" ]
Current State: 28:[6, 69, 42, 7], Operations: [] Exploring Operation: 69-6=63, Resulting Numbers: [42, 7, 63] Generated Node #2: [42, 7, 63] from Operation: 69-6=63 Current State: 28:[42, 7, 63], Operations: ['69-6=63'] Exploring Operation: 42-7=35, Resulting Numbers: [63, 35] Generated Node #3: [63, 35] from Operation: 42-7=35 Current State: 28:[63, 35], Operations: ['69-6=63', '42-7=35'] Exploring Operation: 63-35=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 2, 35, 52, 72 ]
19
[ "72/2=36", "52-35=17", "36-17=19" ]
Current State: 19:[2, 35, 52, 72], Operations: [] Exploring Operation: 72/2=36, Resulting Numbers: [35, 52, 36] Generated Node #2: [35, 52, 36] from Operation: 72/2=36 Current State: 19:[35, 52, 36], Operations: ['72/2=36'] Exploring Operation: 52-35=17, Resulting Numbers: [36, 17] Generated Node #3: [36, 17] from Operation: 52-35=17 Current State: 19:[36, 17], Operations: ['72/2=36', '52-35=17'] Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 66, 8, 2, 6 ]
28
[ "66+6=72", "72/2=36", "36-8=28" ]
Current State: 28:[66, 8, 2, 6], Operations: [] Exploring Operation: 66+6=72, Resulting Numbers: [8, 2, 72] Generated Node #2: [8, 2, 72] from Operation: 66+6=72 Current State: 28:[8, 2, 72], Operations: ['66+6=72'] Exploring Operation: 72/2=36, Resulting Numbers: [8, 36] Generated Node #3: [8, 36] from Operation: 72/2=36 Current State: 28:[8, 36], Operations: ['66+6=72', '72/2=36'] Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 91, 94, 42, 54 ]
24
[ "94-91=3", "54/3=18", "42-18=24" ]
Current State: 24:[91, 94, 42, 54], Operations: [] Exploring Operation: 94-91=3, Resulting Numbers: [42, 54, 3] Generated Node #2: [42, 54, 3] from Operation: 94-91=3 Current State: 24:[42, 54, 3], Operations: ['94-91=3'] Exploring Operation: 54/3=18, Resulting Numbers: [42, 18] Generated Node #3: [42, 18] from Operation: 54/3=18 Current State: 24:[42, 18], Operations: ['94-91=3', '54/3=18'] Exploring Operation: 42-18=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 56, 80, 66, 70 ]
20
[ "80-56=24", "70-66=4", "24-4=20" ]
Current State: 20:[56, 80, 66, 70], Operations: [] Exploring Operation: 80-56=24, Resulting Numbers: [66, 70, 24] Generated Node #2: [66, 70, 24] from Operation: 80-56=24 Current State: 20:[66, 70, 24], Operations: ['80-56=24'] Exploring Operation: 70-66=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 70-66=4 Current State: 20:[24, 4], Operations: ['80-56=24', '70-66=4'] Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 83, 33, 45, 1 ]
72
[ "83+33=116", "45-1=44", "116-44=72" ]
Current State: 72:[83, 33, 45, 1], Operations: [] Exploring Operation: 83+33=116, Resulting Numbers: [45, 1, 116] Generated Node #2: [45, 1, 116] from Operation: 83+33=116 Current State: 72:[45, 1, 116], Operations: ['83+33=116'] Exploring Operation: 45-1=44, Resulting Numbers: [116, 44] Generated Node #3: [116, 44] from Operation: 45-1=44 Current State: 72:[116, 44], Operations: ['83+33=116', '45-1=44'] Exploring Operation: 116-44=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 60, 45, 84, 27 ]
70
[ "60*84=5040", "45+27=72", "5040/72=70" ]
Current State: 70:[60, 45, 84, 27], Operations: [] Exploring Operation: 60*84=5040, Resulting Numbers: [45, 27, 5040] Generated Node #2: [45, 27, 5040] from Operation: 60*84=5040 Current State: 70:[45, 27, 5040], Operations: ['60*84=5040'] Exploring Operation: 45+27=72, Resulting Numbers: [5040, 72] Generated Node #3: [5040, 72] from Operation: 45+27=72 Current State: 70:[5040, 72], Operations: ['60*84=5040', '45+27=72'] Exploring Operation: 5040/72=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 49, 83, 92, 49 ]
10
[ "49/49=1", "92-83=9", "1+9=10" ]
Current State: 10:[49, 83, 92, 49], Operations: [] Exploring Operation: 49/49=1, Resulting Numbers: [83, 92, 1] Generated Node #2: [83, 92, 1] from Operation: 49/49=1 Current State: 10:[83, 92, 1], Operations: ['49/49=1'] Exploring Operation: 92-83=9, Resulting Numbers: [1, 9] Generated Node #3: [1, 9] from Operation: 92-83=9 Current State: 10:[1, 9], Operations: ['49/49=1', '92-83=9'] Exploring Operation: 1+9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 13, 76, 51, 84 ]
30
[ "76-13=63", "84-51=33", "63-33=30" ]
Current State: 30:[13, 76, 51, 84], Operations: [] Exploring Operation: 76-13=63, Resulting Numbers: [51, 84, 63] Generated Node #2: [51, 84, 63] from Operation: 76-13=63 Current State: 30:[51, 84, 63], Operations: ['76-13=63'] Exploring Operation: 84-51=33, Resulting Numbers: [63, 33] Generated Node #3: [63, 33] from Operation: 84-51=33 Current State: 30:[63, 33], Operations: ['76-13=63', '84-51=33'] Exploring Operation: 63-33=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 13, 2, 20, 1 ]
46
[ "13*2=26", "20*1=20", "26+20=46" ]
Current State: 46:[13, 2, 20, 1], Operations: [] Exploring Operation: 13*2=26, Resulting Numbers: [20, 1, 26] Generated Node #2: [20, 1, 26] from Operation: 13*2=26 Current State: 46:[20, 1, 26], Operations: ['13*2=26'] Exploring Operation: 20*1=20, Resulting Numbers: [26, 20] Generated Node #3: [26, 20] from Operation: 20*1=20 Current State: 46:[26, 20], Operations: ['13*2=26', '20*1=20'] Exploring Operation: 26+20=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 8, 7, 26, 35 ]
79
[ "35-26=9", "8*9=72", "7+72=79" ]
Current State: 79:[8, 7, 26, 35], Operations: [] Exploring Operation: 35-26=9, Resulting Numbers: [8, 7, 9] Generated Node #2: [8, 7, 9] from Operation: 35-26=9 Current State: 79:[8, 7, 9], Operations: ['35-26=9'] Exploring Operation: 8*9=72, Resulting Numbers: [7, 72] Generated Node #3: [7, 72] from Operation: 8*9=72 Current State: 79:[7, 72], Operations: ['35-26=9', '8*9=72'] Exploring Operation: 7+72=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 81, 63, 9, 6 ]
61
[ "81*6=486", "63+486=549", "549/9=61" ]
Current State: 61:[81, 63, 9, 6], Operations: [] Exploring Operation: 81*6=486, Resulting Numbers: [63, 9, 486] Generated Node #2: [63, 9, 486] from Operation: 81*6=486 Current State: 61:[63, 9, 486], Operations: ['81*6=486'] Exploring Operation: 63+486=549, Resulting Numbers: [9, 549] Generated Node #3: [9, 549] from Operation: 63+486=549 Current State: 61:[9, 549], Operations: ['81*6=486', '63+486=549'] Exploring Operation: 549/9=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 43, 8, 18, 33 ]
98
[ "43-33=10", "8*10=80", "18+80=98" ]
Current State: 98:[43, 8, 18, 33], Operations: [] Exploring Operation: 43-33=10, Resulting Numbers: [8, 18, 10] Generated Node #2: [8, 18, 10] from Operation: 43-33=10 Current State: 98:[8, 18, 10], Operations: ['43-33=10'] Exploring Operation: 8*10=80, Resulting Numbers: [18, 80] Generated Node #3: [18, 80] from Operation: 8*10=80 Current State: 98:[18, 80], Operations: ['43-33=10', '8*10=80'] Exploring Operation: 18+80=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 63, 24, 18, 16 ]
15
[ "18-16=2", "24*2=48", "63-48=15" ]
Current State: 15:[63, 24, 18, 16], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [63, 24, 2] Generated Node #2: [63, 24, 2] from Operation: 18-16=2 Current State: 15:[63, 24, 2], Operations: ['18-16=2'] Exploring Operation: 24*2=48, Resulting Numbers: [63, 48] Generated Node #3: [63, 48] from Operation: 24*2=48 Current State: 15:[63, 48], Operations: ['18-16=2', '24*2=48'] Exploring Operation: 63-48=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 11, 30, 1, 65 ]
68
[ "11-1=10", "30/10=3", "65+3=68" ]
Current State: 68:[11, 30, 1, 65], Operations: [] Exploring Operation: 11-1=10, Resulting Numbers: [30, 65, 10] Generated Node #2: [30, 65, 10] from Operation: 11-1=10 Current State: 68:[30, 65, 10], Operations: ['11-1=10'] Exploring Operation: 30/10=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 30/10=3 Current State: 68:[65, 3], Operations: ['11-1=10', '30/10=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 62, 43, 9, 72 ]
97
[ "62+43=105", "72/9=8", "105-8=97" ]
Current State: 97:[62, 43, 9, 72], Operations: [] Exploring Operation: 62+43=105, Resulting Numbers: [9, 72, 105] Generated Node #2: [9, 72, 105] from Operation: 62+43=105 Current State: 97:[9, 72, 105], Operations: ['62+43=105'] Exploring Operation: 72/9=8, Resulting Numbers: [105, 8] Generated Node #3: [105, 8] from Operation: 72/9=8 Current State: 97:[105, 8], Operations: ['62+43=105', '72/9=8'] Exploring Operation: 105-8=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 58, 25, 89, 32 ]
24
[ "58-25=33", "89-32=57", "57-33=24" ]
Current State: 24:[58, 25, 89, 32], Operations: [] Exploring Operation: 58-25=33, Resulting Numbers: [89, 32, 33] Generated Node #2: [89, 32, 33] from Operation: 58-25=33 Current State: 24:[89, 32, 33], Operations: ['58-25=33'] Exploring Operation: 89-32=57, Resulting Numbers: [33, 57] Generated Node #3: [33, 57] from Operation: 89-32=57 Current State: 24:[33, 57], Operations: ['58-25=33', '89-32=57'] Exploring Operation: 57-33=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 72, 46, 75, 80 ]
58
[ "75-72=3", "46*3=138", "138-80=58" ]
Current State: 58:[72, 46, 75, 80], Operations: [] Exploring Operation: 75-72=3, Resulting Numbers: [46, 80, 3] Generated Node #2: [46, 80, 3] from Operation: 75-72=3 Current State: 58:[46, 80, 3], Operations: ['75-72=3'] Exploring Operation: 46*3=138, Resulting Numbers: [80, 138] Generated Node #3: [80, 138] from Operation: 46*3=138 Current State: 58:[80, 138], Operations: ['75-72=3', '46*3=138'] Exploring Operation: 138-80=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 66, 38, 56, 7 ]
77
[ "66-38=28", "56-7=49", "28+49=77" ]
Current State: 77:[66, 38, 56, 7], Operations: [] Exploring Operation: 66-38=28, Resulting Numbers: [56, 7, 28] Generated Node #2: [56, 7, 28] from Operation: 66-38=28 Current State: 77:[56, 7, 28], Operations: ['66-38=28'] Exploring Operation: 56-7=49, Resulting Numbers: [28, 49] Generated Node #3: [28, 49] from Operation: 56-7=49 Current State: 77:[28, 49], Operations: ['66-38=28', '56-7=49'] Exploring Operation: 28+49=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 55, 77, 27, 99 ]
76
[ "77*27=2079", "2079/99=21", "55+21=76" ]
Current State: 76:[55, 77, 27, 99], Operations: [] Exploring Operation: 77*27=2079, Resulting Numbers: [55, 99, 2079] Generated Node #2: [55, 99, 2079] from Operation: 77*27=2079 Current State: 76:[55, 99, 2079], Operations: ['77*27=2079'] Exploring Operation: 2079/99=21, Resulting Numbers: [55, 21] Generated Node #3: [55, 21] from Operation: 2079/99=21 Current State: 76:[55, 21], Operations: ['77*27=2079', '2079/99=21'] Exploring Operation: 55+21=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 1, 19, 36, 92 ]
38
[ "19-1=18", "92-36=56", "56-18=38" ]
Current State: 38:[1, 19, 36, 92], Operations: [] Exploring Operation: 19-1=18, Resulting Numbers: [36, 92, 18] Generated Node #2: [36, 92, 18] from Operation: 19-1=18 Current State: 38:[36, 92, 18], Operations: ['19-1=18'] Exploring Operation: 92-36=56, Resulting Numbers: [18, 56] Generated Node #3: [18, 56] from Operation: 92-36=56 Current State: 38:[18, 56], Operations: ['19-1=18', '92-36=56'] Exploring Operation: 56-18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 5, 45, 3, 76 ]
54
[ "5+76=81", "45*3=135", "135-81=54" ]
Current State: 54:[5, 45, 3, 76], Operations: [] Exploring Operation: 5+76=81, Resulting Numbers: [45, 3, 81] Generated Node #2: [45, 3, 81] from Operation: 5+76=81 Current State: 54:[45, 3, 81], Operations: ['5+76=81'] Exploring Operation: 45*3=135, Resulting Numbers: [81, 135] Generated Node #3: [81, 135] from Operation: 45*3=135 Current State: 54:[81, 135], Operations: ['5+76=81', '45*3=135'] Exploring Operation: 135-81=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 9, 64, 82, 3 ]
12
[ "9+64=73", "82+3=85", "85-73=12" ]
Current State: 12:[9, 64, 82, 3], Operations: [] Exploring Operation: 9+64=73, Resulting Numbers: [82, 3, 73] Generated Node #2: [82, 3, 73] from Operation: 9+64=73 Current State: 12:[82, 3, 73], Operations: ['9+64=73'] Exploring Operation: 82+3=85, Resulting Numbers: [73, 85] Generated Node #3: [73, 85] from Operation: 82+3=85 Current State: 12:[73, 85], Operations: ['9+64=73', '82+3=85'] Exploring Operation: 85-73=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 65, 73, 66, 3 ]
70
[ "66-65=1", "73-3=70", "1*70=70" ]
Current State: 70:[65, 73, 66, 3], Operations: [] Exploring Operation: 66-65=1, Resulting Numbers: [73, 3, 1] Generated Node #2: [73, 3, 1] from Operation: 66-65=1 Current State: 70:[73, 3, 1], Operations: ['66-65=1'] Exploring Operation: 73-3=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 73-3=70 Current State: 70:[1, 70], Operations: ['66-65=1', '73-3=70'] Exploring Operation: 1*70=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 44, 56, 91, 66 ]
13
[ "56-44=12", "91-66=25", "25-12=13" ]
Current State: 13:[44, 56, 91, 66], Operations: [] Exploring Operation: 56-44=12, Resulting Numbers: [91, 66, 12] Generated Node #2: [91, 66, 12] from Operation: 56-44=12 Current State: 13:[91, 66, 12], Operations: ['56-44=12'] Exploring Operation: 91-66=25, Resulting Numbers: [12, 25] Generated Node #3: [12, 25] from Operation: 91-66=25 Current State: 13:[12, 25], Operations: ['56-44=12', '91-66=25'] Exploring Operation: 25-12=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 42, 86, 41, 56 ]
60
[ "86-41=45", "56*45=2520", "2520/42=60" ]
Current State: 60:[42, 86, 41, 56], Operations: [] Exploring Operation: 86-41=45, Resulting Numbers: [42, 56, 45] Generated Node #2: [42, 56, 45] from Operation: 86-41=45 Current State: 60:[42, 56, 45], Operations: ['86-41=45'] Exploring Operation: 56*45=2520, Resulting Numbers: [42, 2520] Generated Node #3: [42, 2520] from Operation: 56*45=2520 Current State: 60:[42, 2520], Operations: ['86-41=45', '56*45=2520'] Exploring Operation: 2520/42=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 83, 6, 79, 72 ]
36
[ "83-6=77", "79-77=2", "72/2=36" ]
Current State: 36:[83, 6, 79, 72], Operations: [] Exploring Operation: 83-6=77, Resulting Numbers: [79, 72, 77] Generated Node #2: [79, 72, 77] from Operation: 83-6=77 Current State: 36:[79, 72, 77], Operations: ['83-6=77'] Exploring Operation: 79-77=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 79-77=2 Current State: 36:[72, 2], Operations: ['83-6=77', '79-77=2'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 18, 81, 60, 8 ]
11
[ "81-18=63", "60-8=52", "63-52=11" ]
Current State: 11:[18, 81, 60, 8], Operations: [] Exploring Operation: 81-18=63, Resulting Numbers: [60, 8, 63] Generated Node #2: [60, 8, 63] from Operation: 81-18=63 Current State: 11:[60, 8, 63], Operations: ['81-18=63'] Exploring Operation: 60-8=52, Resulting Numbers: [63, 52] Generated Node #3: [63, 52] from Operation: 60-8=52 Current State: 11:[63, 52], Operations: ['81-18=63', '60-8=52'] Exploring Operation: 63-52=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 62, 13, 97, 55 ]
64
[ "13+97=110", "110/55=2", "62+2=64" ]
Current State: 64:[62, 13, 97, 55], Operations: [] Exploring Operation: 13+97=110, Resulting Numbers: [62, 55, 110] Generated Node #2: [62, 55, 110] from Operation: 13+97=110 Current State: 64:[62, 55, 110], Operations: ['13+97=110'] Exploring Operation: 110/55=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 110/55=2 Current State: 64:[62, 2], Operations: ['13+97=110', '110/55=2'] Exploring Operation: 62+2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 80, 40, 71, 76 ]
81
[ "80/40=2", "76*2=152", "152-71=81" ]
Current State: 81:[80, 40, 71, 76], Operations: [] Exploring Operation: 80/40=2, Resulting Numbers: [71, 76, 2] Generated Node #2: [71, 76, 2] from Operation: 80/40=2 Current State: 81:[71, 76, 2], Operations: ['80/40=2'] Exploring Operation: 76*2=152, Resulting Numbers: [71, 152] Generated Node #3: [71, 152] from Operation: 76*2=152 Current State: 81:[71, 152], Operations: ['80/40=2', '76*2=152'] Exploring Operation: 152-71=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 67, 33, 80, 75 ]
23
[ "75-67=8", "80/8=10", "33-10=23" ]
Current State: 23:[67, 33, 80, 75], Operations: [] Exploring Operation: 75-67=8, Resulting Numbers: [33, 80, 8] Generated Node #2: [33, 80, 8] from Operation: 75-67=8 Current State: 23:[33, 80, 8], Operations: ['75-67=8'] Exploring Operation: 80/8=10, Resulting Numbers: [33, 10] Generated Node #3: [33, 10] from Operation: 80/8=10 Current State: 23:[33, 10], Operations: ['75-67=8', '80/8=10'] Exploring Operation: 33-10=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 5, 13, 21, 4 ]
28
[ "5*4=20", "21-13=8", "20+8=28" ]
Current State: 28:[5, 13, 21, 4], Operations: [] Exploring Operation: 5*4=20, Resulting Numbers: [13, 21, 20] Generated Node #2: [13, 21, 20] from Operation: 5*4=20 Current State: 28:[13, 21, 20], Operations: ['5*4=20'] Exploring Operation: 21-13=8, Resulting Numbers: [20, 8] Generated Node #3: [20, 8] from Operation: 21-13=8 Current State: 28:[20, 8], Operations: ['5*4=20', '21-13=8'] Exploring Operation: 20+8=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 19, 61, 5, 49 ]
36
[ "19+61=80", "49-5=44", "80-44=36" ]
Current State: 36:[19, 61, 5, 49], Operations: [] Exploring Operation: 19+61=80, Resulting Numbers: [5, 49, 80] Generated Node #2: [5, 49, 80] from Operation: 19+61=80 Current State: 36:[5, 49, 80], Operations: ['19+61=80'] Exploring Operation: 49-5=44, Resulting Numbers: [80, 44] Generated Node #3: [80, 44] from Operation: 49-5=44 Current State: 36:[80, 44], Operations: ['19+61=80', '49-5=44'] Exploring Operation: 80-44=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 1, 11, 3, 94 ]
36
[ "3-1=2", "94/2=47", "47-11=36" ]
Current State: 36:[1, 11, 3, 94], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [11, 94, 2] Generated Node #2: [11, 94, 2] from Operation: 3-1=2 Current State: 36:[11, 94, 2], Operations: ['3-1=2'] Exploring Operation: 94/2=47, Resulting Numbers: [11, 47] Generated Node #3: [11, 47] from Operation: 94/2=47 Current State: 36:[11, 47], Operations: ['3-1=2', '94/2=47'] Exploring Operation: 47-11=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 60, 44, 19, 29 ]
55
[ "60*44=2640", "19+29=48", "2640/48=55" ]
Current State: 55:[60, 44, 19, 29], Operations: [] Exploring Operation: 60*44=2640, Resulting Numbers: [19, 29, 2640] Generated Node #2: [19, 29, 2640] from Operation: 60*44=2640 Current State: 55:[19, 29, 2640], Operations: ['60*44=2640'] Exploring Operation: 19+29=48, Resulting Numbers: [2640, 48] Generated Node #3: [2640, 48] from Operation: 19+29=48 Current State: 55:[2640, 48], Operations: ['60*44=2640', '19+29=48'] Exploring Operation: 2640/48=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 14, 22, 72, 20 ]
18
[ "14+22=36", "72/36=2", "20-2=18" ]
Current State: 18:[14, 22, 72, 20], Operations: [] Exploring Operation: 14+22=36, Resulting Numbers: [72, 20, 36] Generated Node #2: [72, 20, 36] from Operation: 14+22=36 Current State: 18:[72, 20, 36], Operations: ['14+22=36'] Exploring Operation: 72/36=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 72/36=2 Current State: 18:[20, 2], Operations: ['14+22=36', '72/36=2'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 71, 88, 69, 10 ]
62
[ "88-71=17", "69+10=79", "79-17=62" ]
Current State: 62:[71, 88, 69, 10], Operations: [] Exploring Operation: 88-71=17, Resulting Numbers: [69, 10, 17] Generated Node #2: [69, 10, 17] from Operation: 88-71=17 Current State: 62:[69, 10, 17], Operations: ['88-71=17'] Exploring Operation: 69+10=79, Resulting Numbers: [17, 79] Generated Node #3: [17, 79] from Operation: 69+10=79 Current State: 62:[17, 79], Operations: ['88-71=17', '69+10=79'] Exploring Operation: 79-17=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 79, 40, 29, 22 ]
68
[ "79+40=119", "29+22=51", "119-51=68" ]
Current State: 68:[79, 40, 29, 22], Operations: [] Exploring Operation: 79+40=119, Resulting Numbers: [29, 22, 119] Generated Node #2: [29, 22, 119] from Operation: 79+40=119 Current State: 68:[29, 22, 119], Operations: ['79+40=119'] Exploring Operation: 29+22=51, Resulting Numbers: [119, 51] Generated Node #3: [119, 51] from Operation: 29+22=51 Current State: 68:[119, 51], Operations: ['79+40=119', '29+22=51'] Exploring Operation: 119-51=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 70, 13, 61, 3 ]
66
[ "70+13=83", "83-61=22", "3*22=66" ]
Current State: 66:[70, 13, 61, 3], Operations: [] Exploring Operation: 70+13=83, Resulting Numbers: [61, 3, 83] Generated Node #2: [61, 3, 83] from Operation: 70+13=83 Current State: 66:[61, 3, 83], Operations: ['70+13=83'] Exploring Operation: 83-61=22, Resulting Numbers: [3, 22] Generated Node #3: [3, 22] from Operation: 83-61=22 Current State: 66:[3, 22], Operations: ['70+13=83', '83-61=22'] Exploring Operation: 3*22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 49, 98, 89, 55 ]
72
[ "98/49=2", "89+55=144", "144/2=72" ]
Current State: 72:[49, 98, 89, 55], Operations: [] Exploring Operation: 98/49=2, Resulting Numbers: [89, 55, 2] Generated Node #2: [89, 55, 2] from Operation: 98/49=2 Current State: 72:[89, 55, 2], Operations: ['98/49=2'] Exploring Operation: 89+55=144, Resulting Numbers: [2, 144] Generated Node #3: [2, 144] from Operation: 89+55=144 Current State: 72:[2, 144], Operations: ['98/49=2', '89+55=144'] Exploring Operation: 144/2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 52, 4, 43, 13 ]
16
[ "52-43=9", "13-9=4", "4*4=16" ]
Current State: 16:[52, 4, 43, 13], Operations: [] Exploring Operation: 52-43=9, Resulting Numbers: [4, 13, 9] Generated Node #2: [4, 13, 9] from Operation: 52-43=9 Current State: 16:[4, 13, 9], Operations: ['52-43=9'] Exploring Operation: 13-9=4, Resulting Numbers: [4, 4] Generated Node #3: [4, 4] from Operation: 13-9=4 Current State: 16:[4, 4], Operations: ['52-43=9', '13-9=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 45, 34, 68, 9 ]
27
[ "45+9=54", "68/34=2", "54/2=27" ]
Current State: 27:[45, 34, 68, 9], Operations: [] Exploring Operation: 45+9=54, Resulting Numbers: [34, 68, 54] Generated Node #2: [34, 68, 54] from Operation: 45+9=54 Current State: 27:[34, 68, 54], Operations: ['45+9=54'] Exploring Operation: 68/34=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 68/34=2 Current State: 27:[54, 2], Operations: ['45+9=54', '68/34=2'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4