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
[ 47, 53, 61, 99 ]
61
[ "47+53=100", "100-99=1", "61*1=61" ]
Current State: 61:[47, 53, 61, 99], Operations: [] Exploring Operation: 47+53=100, Resulting Numbers: [61, 99, 100] Generated Node #2: [61, 99, 100] from Operation: 47+53=100 Current State: 61:[61, 99, 100], Operations: ['47+53=100'] Exploring Operation: 100-99=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 100-99=1 Current State: 61:[61, 1], Operations: ['47+53=100', '100-99=1'] Exploring Operation: 61*1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 27, 14, 10, 33 ]
36
[ "27-14=13", "33-10=23", "13+23=36" ]
Current State: 36:[27, 14, 10, 33], Operations: [] Exploring Operation: 27-14=13, Resulting Numbers: [10, 33, 13] Generated Node #2: [10, 33, 13] from Operation: 27-14=13 Current State: 36:[10, 33, 13], Operations: ['27-14=13'] Exploring Operation: 33-10=23, Resulting Numbers: [13, 23] Generated Node #3: [13, 23] from Operation: 33-10=23 Current State: 36:[13, 23], Operations: ['27-14=13', '33-10=23'] Exploring Operation: 13+23=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 38, 22, 50, 32 ]
25
[ "38-22=16", "50*16=800", "800/32=25" ]
Current State: 25:[38, 22, 50, 32], Operations: [] Exploring Operation: 38-22=16, Resulting Numbers: [50, 32, 16] Generated Node #2: [50, 32, 16] from Operation: 38-22=16 Current State: 25:[50, 32, 16], Operations: ['38-22=16'] Exploring Operation: 50*16=800, Resulting Numbers: [32, 800] Generated Node #3: [32, 800] from Operation: 50*16=800 Current State: 25:[32, 800], Operations: ['38-22=16', '50*16=800'] Exploring Operation: 800/32=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 20, 99, 97, 55 ]
70
[ "55-20=35", "99-97=2", "35*2=70" ]
Current State: 70:[20, 99, 97, 55], Operations: [] Exploring Operation: 55-20=35, Resulting Numbers: [99, 97, 35] Generated Node #2: [99, 97, 35] from Operation: 55-20=35 Current State: 70:[99, 97, 35], Operations: ['55-20=35'] Exploring Operation: 99-97=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 99-97=2 Current State: 70:[35, 2], Operations: ['55-20=35', '99-97=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 81, 83, 69, 48 ]
87
[ "81-69=12", "48/12=4", "83+4=87" ]
Current State: 87:[81, 83, 69, 48], Operations: [] Exploring Operation: 81-69=12, Resulting Numbers: [83, 48, 12] Generated Node #2: [83, 48, 12] from Operation: 81-69=12 Current State: 87:[83, 48, 12], Operations: ['81-69=12'] Exploring Operation: 48/12=4, Resulting Numbers: [83, 4] Generated Node #3: [83, 4] from Operation: 48/12=4 Current State: 87:[83, 4], Operations: ['81-69=12', '48/12=4'] Exploring Operation: 83+4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 30, 58, 80, 79 ]
28
[ "58-30=28", "80-79=1", "28*1=28" ]
Current State: 28:[30, 58, 80, 79], Operations: [] Exploring Operation: 58-30=28, Resulting Numbers: [80, 79, 28] Generated Node #2: [80, 79, 28] from Operation: 58-30=28 Current State: 28:[80, 79, 28], Operations: ['58-30=28'] Exploring Operation: 80-79=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 80-79=1 Current State: 28:[28, 1], Operations: ['58-30=28', '80-79=1'] Exploring Operation: 28*1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 25, 13, 5, 50 ]
75
[ "25*13=325", "5*50=250", "325-250=75" ]
Current State: 75:[25, 13, 5, 50], Operations: [] Exploring Operation: 25*13=325, Resulting Numbers: [5, 50, 325] Generated Node #2: [5, 50, 325] from Operation: 25*13=325 Current State: 75:[5, 50, 325], Operations: ['25*13=325'] Exploring Operation: 5*50=250, Resulting Numbers: [325, 250] Generated Node #3: [325, 250] from Operation: 5*50=250 Current State: 75:[325, 250], Operations: ['25*13=325', '5*50=250'] Exploring Operation: 325-250=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 4, 91, 35, 45 ]
97
[ "91-4=87", "45-35=10", "87+10=97" ]
Current State: 97:[4, 91, 35, 45], Operations: [] Exploring Operation: 91-4=87, Resulting Numbers: [35, 45, 87] Generated Node #2: [35, 45, 87] from Operation: 91-4=87 Current State: 97:[35, 45, 87], Operations: ['91-4=87'] Exploring Operation: 45-35=10, Resulting Numbers: [87, 10] Generated Node #3: [87, 10] from Operation: 45-35=10 Current State: 97:[87, 10], Operations: ['91-4=87', '45-35=10'] Exploring Operation: 87+10=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 7, 73, 97, 49 ]
71
[ "73-49=24", "7*24=168", "168-97=71" ]
Current State: 71:[7, 73, 97, 49], Operations: [] Exploring Operation: 73-49=24, Resulting Numbers: [7, 97, 24] Generated Node #2: [7, 97, 24] from Operation: 73-49=24 Current State: 71:[7, 97, 24], Operations: ['73-49=24'] Exploring Operation: 7*24=168, Resulting Numbers: [97, 168] Generated Node #3: [97, 168] from Operation: 7*24=168 Current State: 71:[97, 168], Operations: ['73-49=24', '7*24=168'] Exploring Operation: 168-97=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 61, 88, 96, 30 ]
93
[ "88-61=27", "96-30=66", "27+66=93" ]
Current State: 93:[61, 88, 96, 30], Operations: [] Exploring Operation: 88-61=27, Resulting Numbers: [96, 30, 27] Generated Node #2: [96, 30, 27] from Operation: 88-61=27 Current State: 93:[96, 30, 27], Operations: ['88-61=27'] Exploring Operation: 96-30=66, Resulting Numbers: [27, 66] Generated Node #3: [27, 66] from Operation: 96-30=66 Current State: 93:[27, 66], Operations: ['88-61=27', '96-30=66'] Exploring Operation: 27+66=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 52, 1, 4, 41 ]
71
[ "4-1=3", "41*3=123", "123-52=71" ]
Current State: 71:[52, 1, 4, 41], Operations: [] Exploring Operation: 4-1=3, Resulting Numbers: [52, 41, 3] Generated Node #2: [52, 41, 3] from Operation: 4-1=3 Current State: 71:[52, 41, 3], Operations: ['4-1=3'] Exploring Operation: 41*3=123, Resulting Numbers: [52, 123] Generated Node #3: [52, 123] from Operation: 41*3=123 Current State: 71:[52, 123], Operations: ['4-1=3', '41*3=123'] Exploring Operation: 123-52=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 57, 6, 14, 5 ]
61
[ "6+14=20", "20/5=4", "57+4=61" ]
Current State: 61:[57, 6, 14, 5], Operations: [] Exploring Operation: 6+14=20, Resulting Numbers: [57, 5, 20] Generated Node #2: [57, 5, 20] from Operation: 6+14=20 Current State: 61:[57, 5, 20], Operations: ['6+14=20'] Exploring Operation: 20/5=4, Resulting Numbers: [57, 4] Generated Node #3: [57, 4] from Operation: 20/5=4 Current State: 61:[57, 4], Operations: ['6+14=20', '20/5=4'] Exploring Operation: 57+4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 40, 30, 45, 47 ]
72
[ "40+30=70", "47-45=2", "70+2=72" ]
Current State: 72:[40, 30, 45, 47], Operations: [] Exploring Operation: 40+30=70, Resulting Numbers: [45, 47, 70] Generated Node #2: [45, 47, 70] from Operation: 40+30=70 Current State: 72:[45, 47, 70], Operations: ['40+30=70'] Exploring Operation: 47-45=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 47-45=2 Current State: 72:[70, 2], Operations: ['40+30=70', '47-45=2'] Exploring Operation: 70+2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 20, 61, 8, 67 ]
100
[ "61-20=41", "67-8=59", "41+59=100" ]
Current State: 100:[20, 61, 8, 67], Operations: [] Exploring Operation: 61-20=41, Resulting Numbers: [8, 67, 41] Generated Node #2: [8, 67, 41] from Operation: 61-20=41 Current State: 100:[8, 67, 41], Operations: ['61-20=41'] Exploring Operation: 67-8=59, Resulting Numbers: [41, 59] Generated Node #3: [41, 59] from Operation: 67-8=59 Current State: 100:[41, 59], Operations: ['61-20=41', '67-8=59'] Exploring Operation: 41+59=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 87, 79, 97, 5 ]
84
[ "87-79=8", "97-5=92", "92-8=84" ]
Current State: 84:[87, 79, 97, 5], Operations: [] Exploring Operation: 87-79=8, Resulting Numbers: [97, 5, 8] Generated Node #2: [97, 5, 8] from Operation: 87-79=8 Current State: 84:[97, 5, 8], Operations: ['87-79=8'] Exploring Operation: 97-5=92, Resulting Numbers: [8, 92] Generated Node #3: [8, 92] from Operation: 97-5=92 Current State: 84:[8, 92], Operations: ['87-79=8', '97-5=92'] Exploring Operation: 92-8=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 4, 44, 39, 81 ]
61
[ "44-39=5", "4*5=20", "81-20=61" ]
Current State: 61:[4, 44, 39, 81], Operations: [] Exploring Operation: 44-39=5, Resulting Numbers: [4, 81, 5] Generated Node #2: [4, 81, 5] from Operation: 44-39=5 Current State: 61:[4, 81, 5], Operations: ['44-39=5'] Exploring Operation: 4*5=20, Resulting Numbers: [81, 20] Generated Node #3: [81, 20] from Operation: 4*5=20 Current State: 61:[81, 20], Operations: ['44-39=5', '4*5=20'] Exploring Operation: 81-20=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 46, 72, 64, 36 ]
87
[ "46*36=1656", "1656/72=23", "64+23=87" ]
Current State: 87:[46, 72, 64, 36], Operations: [] Exploring Operation: 46*36=1656, Resulting Numbers: [72, 64, 1656] Generated Node #2: [72, 64, 1656] from Operation: 46*36=1656 Current State: 87:[72, 64, 1656], Operations: ['46*36=1656'] Exploring Operation: 1656/72=23, Resulting Numbers: [64, 23] Generated Node #3: [64, 23] from Operation: 1656/72=23 Current State: 87:[64, 23], Operations: ['46*36=1656', '1656/72=23'] Exploring Operation: 64+23=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 37, 15, 11, 7 ]
34
[ "37+15=52", "11+7=18", "52-18=34" ]
Current State: 34:[37, 15, 11, 7], Operations: [] Exploring Operation: 37+15=52, Resulting Numbers: [11, 7, 52] Generated Node #2: [11, 7, 52] from Operation: 37+15=52 Current State: 34:[11, 7, 52], Operations: ['37+15=52'] Exploring Operation: 11+7=18, Resulting Numbers: [52, 18] Generated Node #3: [52, 18] from Operation: 11+7=18 Current State: 34:[52, 18], Operations: ['37+15=52', '11+7=18'] Exploring Operation: 52-18=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 50, 45, 2, 45 ]
70
[ "50+45=95", "45+95=140", "140/2=70" ]
Current State: 70:[50, 45, 2, 45], Operations: [] Exploring Operation: 50+45=95, Resulting Numbers: [2, 95] Generated Node #2: [2, 95] from Operation: 50+45=95 Current State: 70:[2, 95], Operations: ['50+45=95'] Exploring Operation: 45+95=140, Resulting Numbers: [2, 140] Generated Node #3: [2, 140] from Operation: 45+95=140 Current State: 70:[2, 140], Operations: ['50+45=95', '45+95=140'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 32, 25, 54, 97 ]
50
[ "32-25=7", "97-54=43", "7+43=50" ]
Current State: 50:[32, 25, 54, 97], Operations: [] Exploring Operation: 32-25=7, Resulting Numbers: [54, 97, 7] Generated Node #2: [54, 97, 7] from Operation: 32-25=7 Current State: 50:[54, 97, 7], Operations: ['32-25=7'] Exploring Operation: 97-54=43, Resulting Numbers: [7, 43] Generated Node #3: [7, 43] from Operation: 97-54=43 Current State: 50:[7, 43], Operations: ['32-25=7', '97-54=43'] Exploring Operation: 7+43=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 71, 80, 14, 52 ]
85
[ "71+80=151", "14+52=66", "151-66=85" ]
Current State: 85:[71, 80, 14, 52], Operations: [] Exploring Operation: 71+80=151, Resulting Numbers: [14, 52, 151] Generated Node #2: [14, 52, 151] from Operation: 71+80=151 Current State: 85:[14, 52, 151], Operations: ['71+80=151'] Exploring Operation: 14+52=66, Resulting Numbers: [151, 66] Generated Node #3: [151, 66] from Operation: 14+52=66 Current State: 85:[151, 66], Operations: ['71+80=151', '14+52=66'] Exploring Operation: 151-66=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 32, 10, 75, 66 ]
78
[ "32-10=22", "66/22=3", "75+3=78" ]
Current State: 78:[32, 10, 75, 66], Operations: [] Exploring Operation: 32-10=22, Resulting Numbers: [75, 66, 22] Generated Node #2: [75, 66, 22] from Operation: 32-10=22 Current State: 78:[75, 66, 22], Operations: ['32-10=22'] Exploring Operation: 66/22=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 66/22=3 Current State: 78:[75, 3], Operations: ['32-10=22', '66/22=3'] Exploring Operation: 75+3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 95, 7, 12, 83 ]
96
[ "95-83=12", "7*12=84", "12+84=96" ]
Current State: 96:[95, 7, 12, 83], Operations: [] Exploring Operation: 95-83=12, Resulting Numbers: [7, 12, 12] Generated Node #2: [7, 12, 12] from Operation: 95-83=12 Current State: 96:[7, 12, 12], Operations: ['95-83=12'] Exploring Operation: 7*12=84, Resulting Numbers: [84] 84,96 equal: Goal Reached Exploring Operation: 12+84=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 35, 72, 8, 93 ]
49
[ "93-35=58", "72/8=9", "58-9=49" ]
Current State: 49:[35, 72, 8, 93], Operations: [] Exploring Operation: 93-35=58, Resulting Numbers: [72, 8, 58] Generated Node #2: [72, 8, 58] from Operation: 93-35=58 Current State: 49:[72, 8, 58], Operations: ['93-35=58'] Exploring Operation: 72/8=9, Resulting Numbers: [58, 9] Generated Node #3: [58, 9] from Operation: 72/8=9 Current State: 49:[58, 9], Operations: ['93-35=58', '72/8=9'] Exploring Operation: 58-9=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 31, 81, 78, 31 ]
59
[ "81-31=50", "78+31=109", "109-50=59" ]
Current State: 59:[31, 81, 78, 31], Operations: [] Exploring Operation: 81-31=50, Resulting Numbers: [78, 50] Generated Node #2: [78, 50] from Operation: 81-31=50 Current State: 59:[78, 50], Operations: ['81-31=50'] Exploring Operation: 78+31=109, Resulting Numbers: [50, 109] Generated Node #3: [50, 109] from Operation: 78+31=109 Current State: 59:[50, 109], Operations: ['81-31=50', '78+31=109'] Exploring Operation: 109-50=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 29, 23, 46, 87 ]
72
[ "87/29=3", "23+46=69", "3+69=72" ]
Current State: 72:[29, 23, 46, 87], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [23, 46, 3] Generated Node #2: [23, 46, 3] from Operation: 87/29=3 Current State: 72:[23, 46, 3], Operations: ['87/29=3'] Exploring Operation: 23+46=69, Resulting Numbers: [3, 69] Generated Node #3: [3, 69] from Operation: 23+46=69 Current State: 72:[3, 69], Operations: ['87/29=3', '23+46=69'] Exploring Operation: 3+69=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 72, 80, 35, 89 ]
27
[ "89-80=9", "72/9=8", "35-8=27" ]
Current State: 27:[72, 80, 35, 89], Operations: [] Exploring Operation: 89-80=9, Resulting Numbers: [72, 35, 9] Generated Node #2: [72, 35, 9] from Operation: 89-80=9 Current State: 27:[72, 35, 9], Operations: ['89-80=9'] Exploring Operation: 72/9=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 72/9=8 Current State: 27:[35, 8], Operations: ['89-80=9', '72/9=8'] Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 49, 96, 28, 16 ]
41
[ "28-16=12", "96/12=8", "49-8=41" ]
Current State: 41:[49, 96, 28, 16], Operations: [] Exploring Operation: 28-16=12, Resulting Numbers: [49, 96, 12] Generated Node #2: [49, 96, 12] from Operation: 28-16=12 Current State: 41:[49, 96, 12], Operations: ['28-16=12'] Exploring Operation: 96/12=8, Resulting Numbers: [49, 8] Generated Node #3: [49, 8] from Operation: 96/12=8 Current State: 41:[49, 8], Operations: ['28-16=12', '96/12=8'] Exploring Operation: 49-8=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 9, 36, 36, 28 ]
38
[ "9+28=37", "36/36=1", "37+1=38" ]
Current State: 38:[9, 36, 36, 28], Operations: [] Exploring Operation: 9+28=37, Resulting Numbers: [36, 36, 37] Generated Node #2: [36, 36, 37] from Operation: 9+28=37 Current State: 38:[36, 36, 37], Operations: ['9+28=37'] Exploring Operation: 36/36=1, Resulting Numbers: [37, 1] Generated Node #3: [37, 1] from Operation: 36/36=1 Current State: 38:[37, 1], Operations: ['9+28=37', '36/36=1'] Exploring Operation: 37+1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 12, 34, 5, 61 ]
35
[ "12*5=60", "34+61=95", "95-60=35" ]
Current State: 35:[12, 34, 5, 61], Operations: [] Exploring Operation: 12*5=60, Resulting Numbers: [34, 61, 60] Generated Node #2: [34, 61, 60] from Operation: 12*5=60 Current State: 35:[34, 61, 60], Operations: ['12*5=60'] Exploring Operation: 34+61=95, Resulting Numbers: [60, 95] Generated Node #3: [60, 95] from Operation: 34+61=95 Current State: 35:[60, 95], Operations: ['12*5=60', '34+61=95'] Exploring Operation: 95-60=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 79, 66, 17, 63 ]
15
[ "66*17=1122", "63+1122=1185", "1185/79=15" ]
Current State: 15:[79, 66, 17, 63], Operations: [] Exploring Operation: 66*17=1122, Resulting Numbers: [79, 63, 1122] Generated Node #2: [79, 63, 1122] from Operation: 66*17=1122 Current State: 15:[79, 63, 1122], Operations: ['66*17=1122'] Exploring Operation: 63+1122=1185, Resulting Numbers: [79, 1185] Generated Node #3: [79, 1185] from Operation: 63+1122=1185 Current State: 15:[79, 1185], Operations: ['66*17=1122', '63+1122=1185'] Exploring Operation: 1185/79=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 7, 58, 14, 47 ]
22
[ "14/7=2", "58-47=11", "2*11=22" ]
Current State: 22:[7, 58, 14, 47], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [58, 47, 2] Generated Node #2: [58, 47, 2] from Operation: 14/7=2 Current State: 22:[58, 47, 2], Operations: ['14/7=2'] Exploring Operation: 58-47=11, Resulting Numbers: [2, 11] Generated Node #3: [2, 11] from Operation: 58-47=11 Current State: 22:[2, 11], Operations: ['14/7=2', '58-47=11'] Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 44, 2, 74, 46 ]
74
[ "44+2=46", "74+46=120", "120-46=74" ]
Current State: 74:[44, 2, 74, 46], Operations: [] Exploring Operation: 44+2=46, Resulting Numbers: [74, 46, 46] Generated Node #2: [74, 46, 46] from Operation: 44+2=46 Current State: 74:[74, 46, 46], Operations: ['44+2=46'] Exploring Operation: 74+46=120, Resulting Numbers: [120] 120,74 equal: Goal Reached Exploring Operation: 120-46=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 22, 24, 77, 1 ]
83
[ "24*77=1848", "1848/22=84", "84-1=83" ]
Current State: 83:[22, 24, 77, 1], Operations: [] Exploring Operation: 24*77=1848, Resulting Numbers: [22, 1, 1848] Generated Node #2: [22, 1, 1848] from Operation: 24*77=1848 Current State: 83:[22, 1, 1848], Operations: ['24*77=1848'] Exploring Operation: 1848/22=84, Resulting Numbers: [1, 84] Generated Node #3: [1, 84] from Operation: 1848/22=84 Current State: 83:[1, 84], Operations: ['24*77=1848', '1848/22=84'] Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 76, 74, 57, 98 ]
82
[ "76-74=2", "98-57=41", "2*41=82" ]
Current State: 82:[76, 74, 57, 98], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [57, 98, 2] Generated Node #2: [57, 98, 2] from Operation: 76-74=2 Current State: 82:[57, 98, 2], Operations: ['76-74=2'] Exploring Operation: 98-57=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 98-57=41 Current State: 82:[2, 41], Operations: ['76-74=2', '98-57=41'] Exploring Operation: 2*41=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 72, 13, 74, 70 ]
59
[ "72+13=85", "74+70=144", "144-85=59" ]
Current State: 59:[72, 13, 74, 70], Operations: [] Exploring Operation: 72+13=85, Resulting Numbers: [74, 70, 85] Generated Node #2: [74, 70, 85] from Operation: 72+13=85 Current State: 59:[74, 70, 85], Operations: ['72+13=85'] Exploring Operation: 74+70=144, Resulting Numbers: [85, 144] Generated Node #3: [85, 144] from Operation: 74+70=144 Current State: 59:[85, 144], Operations: ['72+13=85', '74+70=144'] Exploring Operation: 144-85=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 49, 92, 41, 84 ]
64
[ "49-41=8", "92-84=8", "8*8=64" ]
Current State: 64:[49, 92, 41, 84], Operations: [] Exploring Operation: 49-41=8, Resulting Numbers: [92, 84, 8] Generated Node #2: [92, 84, 8] from Operation: 49-41=8 Current State: 64:[92, 84, 8], Operations: ['49-41=8'] Exploring Operation: 92-84=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 92-84=8 Current State: 64:[8, 8], Operations: ['49-41=8', '92-84=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 45, 71, 16, 23 ]
19
[ "71-45=26", "23-16=7", "26-7=19" ]
Current State: 19:[45, 71, 16, 23], Operations: [] Exploring Operation: 71-45=26, Resulting Numbers: [16, 23, 26] Generated Node #2: [16, 23, 26] from Operation: 71-45=26 Current State: 19:[16, 23, 26], Operations: ['71-45=26'] Exploring Operation: 23-16=7, Resulting Numbers: [26, 7] Generated Node #3: [26, 7] from Operation: 23-16=7 Current State: 19:[26, 7], Operations: ['71-45=26', '23-16=7'] Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 26, 22, 87, 20 ]
97
[ "22*87=1914", "26+1914=1940", "1940/20=97" ]
Current State: 97:[26, 22, 87, 20], Operations: [] Exploring Operation: 22*87=1914, Resulting Numbers: [26, 20, 1914] Generated Node #2: [26, 20, 1914] from Operation: 22*87=1914 Current State: 97:[26, 20, 1914], Operations: ['22*87=1914'] Exploring Operation: 26+1914=1940, Resulting Numbers: [20, 1940] Generated Node #3: [20, 1940] from Operation: 26+1914=1940 Current State: 97:[20, 1940], Operations: ['22*87=1914', '26+1914=1940'] Exploring Operation: 1940/20=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 41, 90, 11, 45 ]
83
[ "90-41=49", "45-11=34", "49+34=83" ]
Current State: 83:[41, 90, 11, 45], Operations: [] Exploring Operation: 90-41=49, Resulting Numbers: [11, 45, 49] Generated Node #2: [11, 45, 49] from Operation: 90-41=49 Current State: 83:[11, 45, 49], Operations: ['90-41=49'] Exploring Operation: 45-11=34, Resulting Numbers: [49, 34] Generated Node #3: [49, 34] from Operation: 45-11=34 Current State: 83:[49, 34], Operations: ['90-41=49', '45-11=34'] Exploring Operation: 49+34=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 50, 73, 27, 64 ]
47
[ "73-64=9", "27/9=3", "50-3=47" ]
Current State: 47:[50, 73, 27, 64], Operations: [] Exploring Operation: 73-64=9, Resulting Numbers: [50, 27, 9] Generated Node #2: [50, 27, 9] from Operation: 73-64=9 Current State: 47:[50, 27, 9], Operations: ['73-64=9'] Exploring Operation: 27/9=3, Resulting Numbers: [50, 3] Generated Node #3: [50, 3] from Operation: 27/9=3 Current State: 47:[50, 3], Operations: ['73-64=9', '27/9=3'] Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 36, 3, 47, 66 ]
74
[ "36+3=39", "47+66=113", "113-39=74" ]
Current State: 74:[36, 3, 47, 66], Operations: [] Exploring Operation: 36+3=39, Resulting Numbers: [47, 66, 39] Generated Node #2: [47, 66, 39] from Operation: 36+3=39 Current State: 74:[47, 66, 39], Operations: ['36+3=39'] Exploring Operation: 47+66=113, Resulting Numbers: [39, 113] Generated Node #3: [39, 113] from Operation: 47+66=113 Current State: 74:[39, 113], Operations: ['36+3=39', '47+66=113'] Exploring Operation: 113-39=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 23, 95, 63, 36 ]
61
[ "95-23=72", "72/36=2", "63-2=61" ]
Current State: 61:[23, 95, 63, 36], Operations: [] Exploring Operation: 95-23=72, Resulting Numbers: [63, 36, 72] Generated Node #2: [63, 36, 72] from Operation: 95-23=72 Current State: 61:[63, 36, 72], Operations: ['95-23=72'] Exploring Operation: 72/36=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 72/36=2 Current State: 61:[63, 2], Operations: ['95-23=72', '72/36=2'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 45, 47, 2, 3 ]
79
[ "45/3=15", "47*2=94", "94-15=79" ]
Current State: 79:[45, 47, 2, 3], Operations: [] Exploring Operation: 45/3=15, Resulting Numbers: [47, 2, 15] Generated Node #2: [47, 2, 15] from Operation: 45/3=15 Current State: 79:[47, 2, 15], Operations: ['45/3=15'] Exploring Operation: 47*2=94, Resulting Numbers: [15, 94] Generated Node #3: [15, 94] from Operation: 47*2=94 Current State: 79:[15, 94], Operations: ['45/3=15', '47*2=94'] Exploring Operation: 94-15=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 58, 26, 82, 96 ]
48
[ "58+26=84", "84-82=2", "96/2=48" ]
Current State: 48:[58, 26, 82, 96], Operations: [] Exploring Operation: 58+26=84, Resulting Numbers: [82, 96, 84] Generated Node #2: [82, 96, 84] from Operation: 58+26=84 Current State: 48:[82, 96, 84], Operations: ['58+26=84'] Exploring Operation: 84-82=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 84-82=2 Current State: 48:[96, 2], Operations: ['58+26=84', '84-82=2'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 14, 75, 40, 22 ]
71
[ "14+75=89", "40-22=18", "89-18=71" ]
Current State: 71:[14, 75, 40, 22], Operations: [] Exploring Operation: 14+75=89, Resulting Numbers: [40, 22, 89] Generated Node #2: [40, 22, 89] from Operation: 14+75=89 Current State: 71:[40, 22, 89], Operations: ['14+75=89'] Exploring Operation: 40-22=18, Resulting Numbers: [89, 18] Generated Node #3: [89, 18] from Operation: 40-22=18 Current State: 71:[89, 18], Operations: ['14+75=89', '40-22=18'] Exploring Operation: 89-18=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 63, 46, 66, 64 ]
54
[ "66-63=3", "64-46=18", "3*18=54" ]
Current State: 54:[63, 46, 66, 64], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [46, 64, 3] Generated Node #2: [46, 64, 3] from Operation: 66-63=3 Current State: 54:[46, 64, 3], Operations: ['66-63=3'] Exploring Operation: 64-46=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 64-46=18 Current State: 54:[3, 18], Operations: ['66-63=3', '64-46=18'] Exploring Operation: 3*18=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 22, 85, 24, 6 ]
37
[ "22+85=107", "24*6=144", "144-107=37" ]
Current State: 37:[22, 85, 24, 6], Operations: [] Exploring Operation: 22+85=107, Resulting Numbers: [24, 6, 107] Generated Node #2: [24, 6, 107] from Operation: 22+85=107 Current State: 37:[24, 6, 107], Operations: ['22+85=107'] Exploring Operation: 24*6=144, Resulting Numbers: [107, 144] Generated Node #3: [107, 144] from Operation: 24*6=144 Current State: 37:[107, 144], Operations: ['22+85=107', '24*6=144'] Exploring Operation: 144-107=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 72, 72, 78, 4 ]
81
[ "72/72=1", "78+4=82", "82-1=81" ]
Current State: 81:[72, 72, 78, 4], Operations: [] Exploring Operation: 72/72=1, Resulting Numbers: [78, 4, 1] Generated Node #2: [78, 4, 1] from Operation: 72/72=1 Current State: 81:[78, 4, 1], Operations: ['72/72=1'] Exploring Operation: 78+4=82, Resulting Numbers: [1, 82] Generated Node #3: [1, 82] from Operation: 78+4=82 Current State: 81:[1, 82], Operations: ['72/72=1', '78+4=82'] Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 83, 88, 36, 98 ]
82
[ "88-83=5", "36*5=180", "180-98=82" ]
Current State: 82:[83, 88, 36, 98], Operations: [] Exploring Operation: 88-83=5, Resulting Numbers: [36, 98, 5] Generated Node #2: [36, 98, 5] from Operation: 88-83=5 Current State: 82:[36, 98, 5], Operations: ['88-83=5'] Exploring Operation: 36*5=180, Resulting Numbers: [98, 180] Generated Node #3: [98, 180] from Operation: 36*5=180 Current State: 82:[98, 180], Operations: ['88-83=5', '36*5=180'] Exploring Operation: 180-98=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 82, 62, 51, 12 ]
59
[ "82-62=20", "51-12=39", "20+39=59" ]
Current State: 59:[82, 62, 51, 12], Operations: [] Exploring Operation: 82-62=20, Resulting Numbers: [51, 12, 20] Generated Node #2: [51, 12, 20] from Operation: 82-62=20 Current State: 59:[51, 12, 20], Operations: ['82-62=20'] Exploring Operation: 51-12=39, Resulting Numbers: [20, 39] Generated Node #3: [20, 39] from Operation: 51-12=39 Current State: 59:[20, 39], Operations: ['82-62=20', '51-12=39'] Exploring Operation: 20+39=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 36, 40, 12, 27 ]
64
[ "36/12=3", "40+27=67", "67-3=64" ]
Current State: 64:[36, 40, 12, 27], Operations: [] Exploring Operation: 36/12=3, Resulting Numbers: [40, 27, 3] Generated Node #2: [40, 27, 3] from Operation: 36/12=3 Current State: 64:[40, 27, 3], Operations: ['36/12=3'] Exploring Operation: 40+27=67, Resulting Numbers: [3, 67] Generated Node #3: [3, 67] from Operation: 40+27=67 Current State: 64:[3, 67], Operations: ['36/12=3', '40+27=67'] Exploring Operation: 67-3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 44, 21, 48, 56 ]
57
[ "44+21=65", "56-48=8", "65-8=57" ]
Current State: 57:[44, 21, 48, 56], Operations: [] Exploring Operation: 44+21=65, Resulting Numbers: [48, 56, 65] Generated Node #2: [48, 56, 65] from Operation: 44+21=65 Current State: 57:[48, 56, 65], Operations: ['44+21=65'] Exploring Operation: 56-48=8, Resulting Numbers: [65, 8] Generated Node #3: [65, 8] from Operation: 56-48=8 Current State: 57:[65, 8], Operations: ['44+21=65', '56-48=8'] Exploring Operation: 65-8=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 14, 90, 18, 27 ]
56
[ "90+18=108", "14*108=1512", "1512/27=56" ]
Current State: 56:[14, 90, 18, 27], Operations: [] Exploring Operation: 90+18=108, Resulting Numbers: [14, 27, 108] Generated Node #2: [14, 27, 108] from Operation: 90+18=108 Current State: 56:[14, 27, 108], Operations: ['90+18=108'] Exploring Operation: 14*108=1512, Resulting Numbers: [27, 1512] Generated Node #3: [27, 1512] from Operation: 14*108=1512 Current State: 56:[27, 1512], Operations: ['90+18=108', '14*108=1512'] Exploring Operation: 1512/27=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 50, 62, 15, 64 ]
85
[ "64-62=2", "50*2=100", "100-15=85" ]
Current State: 85:[50, 62, 15, 64], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [50, 15, 2] Generated Node #2: [50, 15, 2] from Operation: 64-62=2 Current State: 85:[50, 15, 2], Operations: ['64-62=2'] Exploring Operation: 50*2=100, Resulting Numbers: [15, 100] Generated Node #3: [15, 100] from Operation: 50*2=100 Current State: 85:[15, 100], Operations: ['64-62=2', '50*2=100'] Exploring Operation: 100-15=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 34, 31, 5, 16 ]
41
[ "34+16=50", "50/5=10", "31+10=41" ]
Current State: 41:[34, 31, 5, 16], Operations: [] Exploring Operation: 34+16=50, Resulting Numbers: [31, 5, 50] Generated Node #2: [31, 5, 50] from Operation: 34+16=50 Current State: 41:[31, 5, 50], Operations: ['34+16=50'] Exploring Operation: 50/5=10, Resulting Numbers: [31, 10] Generated Node #3: [31, 10] from Operation: 50/5=10 Current State: 41:[31, 10], Operations: ['34+16=50', '50/5=10'] Exploring Operation: 31+10=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 76, 12, 75, 70 ]
81
[ "76-12=64", "75+70=145", "145-64=81" ]
Current State: 81:[76, 12, 75, 70], Operations: [] Exploring Operation: 76-12=64, Resulting Numbers: [75, 70, 64] Generated Node #2: [75, 70, 64] from Operation: 76-12=64 Current State: 81:[75, 70, 64], Operations: ['76-12=64'] Exploring Operation: 75+70=145, Resulting Numbers: [64, 145] Generated Node #3: [64, 145] from Operation: 75+70=145 Current State: 81:[64, 145], Operations: ['76-12=64', '75+70=145'] Exploring Operation: 145-64=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 7, 71, 63, 32 ]
32
[ "71-7=64", "64-63=1", "32*1=32" ]
Current State: 32:[7, 71, 63, 32], Operations: [] Exploring Operation: 71-7=64, Resulting Numbers: [63, 32, 64] Generated Node #2: [63, 32, 64] from Operation: 71-7=64 Current State: 32:[63, 32, 64], Operations: ['71-7=64'] Exploring Operation: 64-63=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 64-63=1 Current State: 32:[32, 1], Operations: ['71-7=64', '64-63=1'] Exploring Operation: 32*1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 19, 81, 25, 79 ]
88
[ "19+25=44", "81-79=2", "44*2=88" ]
Current State: 88:[19, 81, 25, 79], Operations: [] Exploring Operation: 19+25=44, Resulting Numbers: [81, 79, 44] Generated Node #2: [81, 79, 44] from Operation: 19+25=44 Current State: 88:[81, 79, 44], Operations: ['19+25=44'] Exploring Operation: 81-79=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 81-79=2 Current State: 88:[44, 2], Operations: ['19+25=44', '81-79=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 64, 19, 32, 26 ]
77
[ "64+19=83", "32-26=6", "83-6=77" ]
Current State: 77:[64, 19, 32, 26], Operations: [] Exploring Operation: 64+19=83, Resulting Numbers: [32, 26, 83] Generated Node #2: [32, 26, 83] from Operation: 64+19=83 Current State: 77:[32, 26, 83], Operations: ['64+19=83'] Exploring Operation: 32-26=6, Resulting Numbers: [83, 6] Generated Node #3: [83, 6] from Operation: 32-26=6 Current State: 77:[83, 6], Operations: ['64+19=83', '32-26=6'] Exploring Operation: 83-6=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 72, 54, 59, 24 ]
77
[ "72/24=3", "54/3=18", "59+18=77" ]
Current State: 77:[72, 54, 59, 24], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [54, 59, 3] Generated Node #2: [54, 59, 3] from Operation: 72/24=3 Current State: 77:[54, 59, 3], Operations: ['72/24=3'] Exploring Operation: 54/3=18, Resulting Numbers: [59, 18] Generated Node #3: [59, 18] from Operation: 54/3=18 Current State: 77:[59, 18], Operations: ['72/24=3', '54/3=18'] Exploring Operation: 59+18=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 22, 4, 25, 55 ]
14
[ "22*25=550", "550/55=10", "4+10=14" ]
Current State: 14:[22, 4, 25, 55], Operations: [] Exploring Operation: 22*25=550, Resulting Numbers: [4, 55, 550] Generated Node #2: [4, 55, 550] from Operation: 22*25=550 Current State: 14:[4, 55, 550], Operations: ['22*25=550'] Exploring Operation: 550/55=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 550/55=10 Current State: 14:[4, 10], Operations: ['22*25=550', '550/55=10'] Exploring Operation: 4+10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 18, 2, 24, 35 ]
25
[ "18*2=36", "35-24=11", "36-11=25" ]
Current State: 25:[18, 2, 24, 35], Operations: [] Exploring Operation: 18*2=36, Resulting Numbers: [24, 35, 36] Generated Node #2: [24, 35, 36] from Operation: 18*2=36 Current State: 25:[24, 35, 36], Operations: ['18*2=36'] Exploring Operation: 35-24=11, Resulting Numbers: [36, 11] Generated Node #3: [36, 11] from Operation: 35-24=11 Current State: 25:[36, 11], Operations: ['18*2=36', '35-24=11'] Exploring Operation: 36-11=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 5, 82, 18, 56 ]
49
[ "5+82=87", "56-18=38", "87-38=49" ]
Current State: 49:[5, 82, 18, 56], Operations: [] Exploring Operation: 5+82=87, Resulting Numbers: [18, 56, 87] Generated Node #2: [18, 56, 87] from Operation: 5+82=87 Current State: 49:[18, 56, 87], Operations: ['5+82=87'] Exploring Operation: 56-18=38, Resulting Numbers: [87, 38] Generated Node #3: [87, 38] from Operation: 56-18=38 Current State: 49:[87, 38], Operations: ['5+82=87', '56-18=38'] Exploring Operation: 87-38=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 96, 62, 28, 66 ]
31
[ "96+28=124", "66-62=4", "124/4=31" ]
Current State: 31:[96, 62, 28, 66], Operations: [] Exploring Operation: 96+28=124, Resulting Numbers: [62, 66, 124] Generated Node #2: [62, 66, 124] from Operation: 96+28=124 Current State: 31:[62, 66, 124], Operations: ['96+28=124'] Exploring Operation: 66-62=4, Resulting Numbers: [124, 4] Generated Node #3: [124, 4] from Operation: 66-62=4 Current State: 31:[124, 4], Operations: ['96+28=124', '66-62=4'] Exploring Operation: 124/4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 1, 57, 81, 58 ]
81
[ "1+57=58", "81+58=139", "139-58=81" ]
Current State: 81:[1, 57, 81, 58], Operations: [] Exploring Operation: 1+57=58, Resulting Numbers: [81, 58, 58] Generated Node #2: [81, 58, 58] from Operation: 1+57=58 Current State: 81:[81, 58, 58], Operations: ['1+57=58'] Exploring Operation: 81+58=139, Resulting Numbers: [139] 139,81 equal: Goal Reached Exploring Operation: 139-58=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 2, 90, 47, 38 ]
61
[ "2*38=76", "90+47=137", "137-76=61" ]
Current State: 61:[2, 90, 47, 38], Operations: [] Exploring Operation: 2*38=76, Resulting Numbers: [90, 47, 76] Generated Node #2: [90, 47, 76] from Operation: 2*38=76 Current State: 61:[90, 47, 76], Operations: ['2*38=76'] Exploring Operation: 90+47=137, Resulting Numbers: [76, 137] Generated Node #3: [76, 137] from Operation: 90+47=137 Current State: 61:[76, 137], Operations: ['2*38=76', '90+47=137'] Exploring Operation: 137-76=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 80, 77, 7, 7 ]
14
[ "80-77=3", "7*3=21", "21-7=14" ]
Current State: 14:[80, 77, 7, 7], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [7, 7, 3] Generated Node #2: [7, 7, 3] from Operation: 80-77=3 Current State: 14:[7, 7, 3], Operations: ['80-77=3'] Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,14 equal: Goal Reached Exploring Operation: 21-7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 35, 7, 11, 23 ]
48
[ "35-23=12", "11-7=4", "12*4=48" ]
Current State: 48:[35, 7, 11, 23], Operations: [] Exploring Operation: 35-23=12, Resulting Numbers: [7, 11, 12] Generated Node #2: [7, 11, 12] from Operation: 35-23=12 Current State: 48:[7, 11, 12], Operations: ['35-23=12'] Exploring Operation: 11-7=4, Resulting Numbers: [12, 4] Generated Node #3: [12, 4] from Operation: 11-7=4 Current State: 48:[12, 4], Operations: ['35-23=12', '11-7=4'] Exploring Operation: 12*4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 13, 5, 72, 63 ]
52
[ "72-5=67", "67-63=4", "13*4=52" ]
Current State: 52:[13, 5, 72, 63], Operations: [] Exploring Operation: 72-5=67, Resulting Numbers: [13, 63, 67] Generated Node #2: [13, 63, 67] from Operation: 72-5=67 Current State: 52:[13, 63, 67], Operations: ['72-5=67'] Exploring Operation: 67-63=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 67-63=4 Current State: 52:[13, 4], Operations: ['72-5=67', '67-63=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 16, 36, 5, 7 ]
51
[ "16*5=80", "36-7=29", "80-29=51" ]
Current State: 51:[16, 36, 5, 7], Operations: [] Exploring Operation: 16*5=80, Resulting Numbers: [36, 7, 80] Generated Node #2: [36, 7, 80] from Operation: 16*5=80 Current State: 51:[36, 7, 80], Operations: ['16*5=80'] Exploring Operation: 36-7=29, Resulting Numbers: [80, 29] Generated Node #3: [80, 29] from Operation: 36-7=29 Current State: 51:[80, 29], Operations: ['16*5=80', '36-7=29'] Exploring Operation: 80-29=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 97, 72, 40, 18 ]
87
[ "72/18=4", "40/4=10", "97-10=87" ]
Current State: 87:[97, 72, 40, 18], Operations: [] Exploring Operation: 72/18=4, Resulting Numbers: [97, 40, 4] Generated Node #2: [97, 40, 4] from Operation: 72/18=4 Current State: 87:[97, 40, 4], Operations: ['72/18=4'] Exploring Operation: 40/4=10, Resulting Numbers: [97, 10] Generated Node #3: [97, 10] from Operation: 40/4=10 Current State: 87:[97, 10], Operations: ['72/18=4', '40/4=10'] Exploring Operation: 97-10=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 20, 23, 99, 5 ]
91
[ "23-20=3", "99-5=94", "94-3=91" ]
Current State: 91:[20, 23, 99, 5], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [99, 5, 3] Generated Node #2: [99, 5, 3] from Operation: 23-20=3 Current State: 91:[99, 5, 3], Operations: ['23-20=3'] Exploring Operation: 99-5=94, Resulting Numbers: [3, 94] Generated Node #3: [3, 94] from Operation: 99-5=94 Current State: 91:[3, 94], Operations: ['23-20=3', '99-5=94'] Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 87, 26, 68, 14 ]
90
[ "68-26=42", "42/14=3", "87+3=90" ]
Current State: 90:[87, 26, 68, 14], Operations: [] Exploring Operation: 68-26=42, Resulting Numbers: [87, 14, 42] Generated Node #2: [87, 14, 42] from Operation: 68-26=42 Current State: 90:[87, 14, 42], Operations: ['68-26=42'] Exploring Operation: 42/14=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 42/14=3 Current State: 90:[87, 3], Operations: ['68-26=42', '42/14=3'] Exploring Operation: 87+3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 74, 7, 46, 87 ]
93
[ "46+87=133", "133/7=19", "74+19=93" ]
Current State: 93:[74, 7, 46, 87], Operations: [] Exploring Operation: 46+87=133, Resulting Numbers: [74, 7, 133] Generated Node #2: [74, 7, 133] from Operation: 46+87=133 Current State: 93:[74, 7, 133], Operations: ['46+87=133'] Exploring Operation: 133/7=19, Resulting Numbers: [74, 19] Generated Node #3: [74, 19] from Operation: 133/7=19 Current State: 93:[74, 19], Operations: ['46+87=133', '133/7=19'] Exploring Operation: 74+19=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 19, 85, 97, 2 ]
71
[ "97-19=78", "2*78=156", "156-85=71" ]
Current State: 71:[19, 85, 97, 2], Operations: [] Exploring Operation: 97-19=78, Resulting Numbers: [85, 2, 78] Generated Node #2: [85, 2, 78] from Operation: 97-19=78 Current State: 71:[85, 2, 78], Operations: ['97-19=78'] Exploring Operation: 2*78=156, Resulting Numbers: [85, 156] Generated Node #3: [85, 156] from Operation: 2*78=156 Current State: 71:[85, 156], Operations: ['97-19=78', '2*78=156'] Exploring Operation: 156-85=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 53, 76, 1, 55 ]
77
[ "76-53=23", "55-1=54", "23+54=77" ]
Current State: 77:[53, 76, 1, 55], Operations: [] Exploring Operation: 76-53=23, Resulting Numbers: [1, 55, 23] Generated Node #2: [1, 55, 23] from Operation: 76-53=23 Current State: 77:[1, 55, 23], Operations: ['76-53=23'] Exploring Operation: 55-1=54, Resulting Numbers: [23, 54] Generated Node #3: [23, 54] from Operation: 55-1=54 Current State: 77:[23, 54], Operations: ['76-53=23', '55-1=54'] Exploring Operation: 23+54=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 65, 69, 64, 32 ]
36
[ "69-65=4", "64-32=32", "4+32=36" ]
Current State: 36:[65, 69, 64, 32], Operations: [] Exploring Operation: 69-65=4, Resulting Numbers: [64, 32, 4] Generated Node #2: [64, 32, 4] from Operation: 69-65=4 Current State: 36:[64, 32, 4], Operations: ['69-65=4'] Exploring Operation: 64-32=32, Resulting Numbers: [4, 32] Generated Node #3: [4, 32] from Operation: 64-32=32 Current State: 36:[4, 32], Operations: ['69-65=4', '64-32=32'] Exploring Operation: 4+32=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 35, 10, 12, 40 ]
14
[ "35*12=420", "40-10=30", "420/30=14" ]
Current State: 14:[35, 10, 12, 40], Operations: [] Exploring Operation: 35*12=420, Resulting Numbers: [10, 40, 420] Generated Node #2: [10, 40, 420] from Operation: 35*12=420 Current State: 14:[10, 40, 420], Operations: ['35*12=420'] Exploring Operation: 40-10=30, Resulting Numbers: [420, 30] Generated Node #3: [420, 30] from Operation: 40-10=30 Current State: 14:[420, 30], Operations: ['35*12=420', '40-10=30'] Exploring Operation: 420/30=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 78, 22, 29, 99 ]
14
[ "78-22=56", "99-29=70", "70-56=14" ]
Current State: 14:[78, 22, 29, 99], Operations: [] Exploring Operation: 78-22=56, Resulting Numbers: [29, 99, 56] Generated Node #2: [29, 99, 56] from Operation: 78-22=56 Current State: 14:[29, 99, 56], Operations: ['78-22=56'] Exploring Operation: 99-29=70, Resulting Numbers: [56, 70] Generated Node #3: [56, 70] from Operation: 99-29=70 Current State: 14:[56, 70], Operations: ['78-22=56', '99-29=70'] Exploring Operation: 70-56=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 10, 43, 2, 74 ]
32
[ "10+43=53", "2*53=106", "106-74=32" ]
Current State: 32:[10, 43, 2, 74], Operations: [] Exploring Operation: 10+43=53, Resulting Numbers: [2, 74, 53] Generated Node #2: [2, 74, 53] from Operation: 10+43=53 Current State: 32:[2, 74, 53], Operations: ['10+43=53'] Exploring Operation: 2*53=106, Resulting Numbers: [74, 106] Generated Node #3: [74, 106] from Operation: 2*53=106 Current State: 32:[74, 106], Operations: ['10+43=53', '2*53=106'] Exploring Operation: 106-74=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 58, 71, 11, 78 ]
62
[ "58+71=129", "78-11=67", "129-67=62" ]
Current State: 62:[58, 71, 11, 78], Operations: [] Exploring Operation: 58+71=129, Resulting Numbers: [11, 78, 129] Generated Node #2: [11, 78, 129] from Operation: 58+71=129 Current State: 62:[11, 78, 129], Operations: ['58+71=129'] Exploring Operation: 78-11=67, Resulting Numbers: [129, 67] Generated Node #3: [129, 67] from Operation: 78-11=67 Current State: 62:[129, 67], Operations: ['58+71=129', '78-11=67'] Exploring Operation: 129-67=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 61, 64, 5, 34 ]
55
[ "64-34=30", "30/5=6", "61-6=55" ]
Current State: 55:[61, 64, 5, 34], Operations: [] Exploring Operation: 64-34=30, Resulting Numbers: [61, 5, 30] Generated Node #2: [61, 5, 30] from Operation: 64-34=30 Current State: 55:[61, 5, 30], Operations: ['64-34=30'] Exploring Operation: 30/5=6, Resulting Numbers: [61, 6] Generated Node #3: [61, 6] from Operation: 30/5=6 Current State: 55:[61, 6], Operations: ['64-34=30', '30/5=6'] Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 57, 93, 77, 34 ]
75
[ "93-57=36", "77+34=111", "111-36=75" ]
Current State: 75:[57, 93, 77, 34], Operations: [] Exploring Operation: 93-57=36, Resulting Numbers: [77, 34, 36] Generated Node #2: [77, 34, 36] from Operation: 93-57=36 Current State: 75:[77, 34, 36], Operations: ['93-57=36'] Exploring Operation: 77+34=111, Resulting Numbers: [36, 111] Generated Node #3: [36, 111] from Operation: 77+34=111 Current State: 75:[36, 111], Operations: ['93-57=36', '77+34=111'] Exploring Operation: 111-36=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 93, 9, 73, 13 ]
17
[ "93+73=166", "166-13=153", "153/9=17" ]
Current State: 17:[93, 9, 73, 13], Operations: [] Exploring Operation: 93+73=166, Resulting Numbers: [9, 13, 166] Generated Node #2: [9, 13, 166] from Operation: 93+73=166 Current State: 17:[9, 13, 166], Operations: ['93+73=166'] Exploring Operation: 166-13=153, Resulting Numbers: [9, 153] Generated Node #3: [9, 153] from Operation: 166-13=153 Current State: 17:[9, 153], Operations: ['93+73=166', '166-13=153'] Exploring Operation: 153/9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 26, 66, 3, 17 ]
54
[ "66-26=40", "17-3=14", "40+14=54" ]
Current State: 54:[26, 66, 3, 17], Operations: [] Exploring Operation: 66-26=40, Resulting Numbers: [3, 17, 40] Generated Node #2: [3, 17, 40] from Operation: 66-26=40 Current State: 54:[3, 17, 40], Operations: ['66-26=40'] Exploring Operation: 17-3=14, Resulting Numbers: [40, 14] Generated Node #3: [40, 14] from Operation: 17-3=14 Current State: 54:[40, 14], Operations: ['66-26=40', '17-3=14'] Exploring Operation: 40+14=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 41, 64, 52, 97 ]
68
[ "64-41=23", "97-52=45", "23+45=68" ]
Current State: 68:[41, 64, 52, 97], Operations: [] Exploring Operation: 64-41=23, Resulting Numbers: [52, 97, 23] Generated Node #2: [52, 97, 23] from Operation: 64-41=23 Current State: 68:[52, 97, 23], Operations: ['64-41=23'] Exploring Operation: 97-52=45, Resulting Numbers: [23, 45] Generated Node #3: [23, 45] from Operation: 97-52=45 Current State: 68:[23, 45], Operations: ['64-41=23', '97-52=45'] Exploring Operation: 23+45=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 59, 96, 2, 41 ]
92
[ "59+41=100", "96*2=192", "192-100=92" ]
Current State: 92:[59, 96, 2, 41], Operations: [] Exploring Operation: 59+41=100, Resulting Numbers: [96, 2, 100] Generated Node #2: [96, 2, 100] from Operation: 59+41=100 Current State: 92:[96, 2, 100], Operations: ['59+41=100'] Exploring Operation: 96*2=192, Resulting Numbers: [100, 192] Generated Node #3: [100, 192] from Operation: 96*2=192 Current State: 92:[100, 192], Operations: ['59+41=100', '96*2=192'] Exploring Operation: 192-100=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 27, 32, 3, 78 ]
96
[ "27*3=81", "81-78=3", "32*3=96" ]
Current State: 96:[27, 32, 3, 78], Operations: [] Exploring Operation: 27*3=81, Resulting Numbers: [32, 78, 81] Generated Node #2: [32, 78, 81] from Operation: 27*3=81 Current State: 96:[32, 78, 81], Operations: ['27*3=81'] Exploring Operation: 81-78=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 81-78=3 Current State: 96:[32, 3], Operations: ['27*3=81', '81-78=3'] Exploring Operation: 32*3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 3, 84, 74, 78 ]
12
[ "74-3=71", "78-71=7", "84/7=12" ]
Current State: 12:[3, 84, 74, 78], Operations: [] Exploring Operation: 74-3=71, Resulting Numbers: [84, 78, 71] Generated Node #2: [84, 78, 71] from Operation: 74-3=71 Current State: 12:[84, 78, 71], Operations: ['74-3=71'] Exploring Operation: 78-71=7, Resulting Numbers: [84, 7] Generated Node #3: [84, 7] from Operation: 78-71=7 Current State: 12:[84, 7], Operations: ['74-3=71', '78-71=7'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 53, 99, 4, 77 ]
97
[ "99+77=176", "176/4=44", "53+44=97" ]
Current State: 97:[53, 99, 4, 77], Operations: [] Exploring Operation: 99+77=176, Resulting Numbers: [53, 4, 176] Generated Node #2: [53, 4, 176] from Operation: 99+77=176 Current State: 97:[53, 4, 176], Operations: ['99+77=176'] Exploring Operation: 176/4=44, Resulting Numbers: [53, 44] Generated Node #3: [53, 44] from Operation: 176/4=44 Current State: 97:[53, 44], Operations: ['99+77=176', '176/4=44'] Exploring Operation: 53+44=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 31, 33, 60, 43 ]
47
[ "31+33=64", "60-43=17", "64-17=47" ]
Current State: 47:[31, 33, 60, 43], Operations: [] Exploring Operation: 31+33=64, Resulting Numbers: [60, 43, 64] Generated Node #2: [60, 43, 64] from Operation: 31+33=64 Current State: 47:[60, 43, 64], Operations: ['31+33=64'] Exploring Operation: 60-43=17, Resulting Numbers: [64, 17] Generated Node #3: [64, 17] from Operation: 60-43=17 Current State: 47:[64, 17], Operations: ['31+33=64', '60-43=17'] Exploring Operation: 64-17=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 46, 36, 34, 9 ]
74
[ "46-9=37", "36-34=2", "37*2=74" ]
Current State: 74:[46, 36, 34, 9], Operations: [] Exploring Operation: 46-9=37, Resulting Numbers: [36, 34, 37] Generated Node #2: [36, 34, 37] from Operation: 46-9=37 Current State: 74:[36, 34, 37], Operations: ['46-9=37'] Exploring Operation: 36-34=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 36-34=2 Current State: 74:[37, 2], Operations: ['46-9=37', '36-34=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 97, 1, 64, 58 ]
26
[ "97-1=96", "64+58=122", "122-96=26" ]
Current State: 26:[97, 1, 64, 58], Operations: [] Exploring Operation: 97-1=96, Resulting Numbers: [64, 58, 96] Generated Node #2: [64, 58, 96] from Operation: 97-1=96 Current State: 26:[64, 58, 96], Operations: ['97-1=96'] Exploring Operation: 64+58=122, Resulting Numbers: [96, 122] Generated Node #3: [96, 122] from Operation: 64+58=122 Current State: 26:[96, 122], Operations: ['97-1=96', '64+58=122'] Exploring Operation: 122-96=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 54, 54, 91, 71 ]
18
[ "54*54=2916", "91+71=162", "2916/162=18" ]
Current State: 18:[54, 54, 91, 71], Operations: [] Exploring Operation: 54*54=2916, Resulting Numbers: [91, 71, 2916] Generated Node #2: [91, 71, 2916] from Operation: 54*54=2916 Current State: 18:[91, 71, 2916], Operations: ['54*54=2916'] Exploring Operation: 91+71=162, Resulting Numbers: [2916, 162] Generated Node #3: [2916, 162] from Operation: 91+71=162 Current State: 18:[2916, 162], Operations: ['54*54=2916', '91+71=162'] Exploring Operation: 2916/162=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 36, 71, 56 ]
93
[ "56/4=14", "36+71=107", "107-14=93" ]
Current State: 93:[4, 36, 71, 56], Operations: [] Exploring Operation: 56/4=14, Resulting Numbers: [36, 71, 14] Generated Node #2: [36, 71, 14] from Operation: 56/4=14 Current State: 93:[36, 71, 14], Operations: ['56/4=14'] Exploring Operation: 36+71=107, Resulting Numbers: [14, 107] Generated Node #3: [14, 107] from Operation: 36+71=107 Current State: 93:[14, 107], Operations: ['56/4=14', '36+71=107'] Exploring Operation: 107-14=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 12, 17, 56, 16 ]
67
[ "17-12=5", "56+16=72", "72-5=67" ]
Current State: 67:[12, 17, 56, 16], Operations: [] Exploring Operation: 17-12=5, Resulting Numbers: [56, 16, 5] Generated Node #2: [56, 16, 5] from Operation: 17-12=5 Current State: 67:[56, 16, 5], Operations: ['17-12=5'] Exploring Operation: 56+16=72, Resulting Numbers: [5, 72] Generated Node #3: [5, 72] from Operation: 56+16=72 Current State: 67:[5, 72], Operations: ['17-12=5', '56+16=72'] Exploring Operation: 72-5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 9, 20, 87, 83 ]
35
[ "9*87=783", "783-83=700", "700/20=35" ]
Current State: 35:[9, 20, 87, 83], Operations: [] Exploring Operation: 9*87=783, Resulting Numbers: [20, 83, 783] Generated Node #2: [20, 83, 783] from Operation: 9*87=783 Current State: 35:[20, 83, 783], Operations: ['9*87=783'] Exploring Operation: 783-83=700, Resulting Numbers: [20, 700] Generated Node #3: [20, 700] from Operation: 783-83=700 Current State: 35:[20, 700], Operations: ['9*87=783', '783-83=700'] Exploring Operation: 700/20=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 60, 80, 48, 18 ]
88
[ "48+18=66", "80*66=5280", "5280/60=88" ]
Current State: 88:[60, 80, 48, 18], Operations: [] Exploring Operation: 48+18=66, Resulting Numbers: [60, 80, 66] Generated Node #2: [60, 80, 66] from Operation: 48+18=66 Current State: 88:[60, 80, 66], Operations: ['48+18=66'] Exploring Operation: 80*66=5280, Resulting Numbers: [60, 5280] Generated Node #3: [60, 5280] from Operation: 80*66=5280 Current State: 88:[60, 5280], Operations: ['48+18=66', '80*66=5280'] Exploring Operation: 5280/60=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 74, 25, 91, 23 ]
31
[ "74+25=99", "91-23=68", "99-68=31" ]
Current State: 31:[74, 25, 91, 23], Operations: [] Exploring Operation: 74+25=99, Resulting Numbers: [91, 23, 99] Generated Node #2: [91, 23, 99] from Operation: 74+25=99 Current State: 31:[91, 23, 99], Operations: ['74+25=99'] Exploring Operation: 91-23=68, Resulting Numbers: [99, 68] Generated Node #3: [99, 68] from Operation: 91-23=68 Current State: 31:[99, 68], Operations: ['74+25=99', '91-23=68'] Exploring Operation: 99-68=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4