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
[ 49, 61, 59, 12 ]
58
[ "61-49=12", "12/12=1", "59-1=58" ]
Current State: 58:[49, 61, 59, 12], Operations: [] Exploring Operation: 61-49=12, Resulting Numbers: [59, 12, 12] Generated Node #2: [59, 12, 12] from Operation: 61-49=12 Current State: 58:[59, 12, 12], Operations: ['61-49=12'] Exploring Operation: 12/12=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 12/12=1 Current State: 58:[59, 1], Operations: ['61-49=12', '12/12=1'] Exploring Operation: 59-1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 12, 36, 47, 60 ]
35
[ "12+36=48", "60-47=13", "48-13=35" ]
Current State: 35:[12, 36, 47, 60], Operations: [] Exploring Operation: 12+36=48, Resulting Numbers: [47, 60, 48] Generated Node #2: [47, 60, 48] from Operation: 12+36=48 Current State: 35:[47, 60, 48], Operations: ['12+36=48'] Exploring Operation: 60-47=13, Resulting Numbers: [48, 13] Generated Node #3: [48, 13] from Operation: 60-47=13 Current State: 35:[48, 13], Operations: ['12+36=48', '60-47=13'] Exploring Operation: 48-13=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 23, 20, 57, 84 ]
24
[ "23-20=3", "84-57=27", "27-3=24" ]
Current State: 24:[23, 20, 57, 84], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [57, 84, 3] Generated Node #2: [57, 84, 3] from Operation: 23-20=3 Current State: 24:[57, 84, 3], Operations: ['23-20=3'] Exploring Operation: 84-57=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 84-57=27 Current State: 24:[3, 27], Operations: ['23-20=3', '84-57=27'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 87, 2, 22, 64 ]
97
[ "87-22=65", "64/2=32", "65+32=97" ]
Current State: 97:[87, 2, 22, 64], Operations: [] Exploring Operation: 87-22=65, Resulting Numbers: [2, 64, 65] Generated Node #2: [2, 64, 65] from Operation: 87-22=65 Current State: 97:[2, 64, 65], Operations: ['87-22=65'] Exploring Operation: 64/2=32, Resulting Numbers: [65, 32] Generated Node #3: [65, 32] from Operation: 64/2=32 Current State: 97:[65, 32], Operations: ['87-22=65', '64/2=32'] Exploring Operation: 65+32=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 66, 82, 82, 24 ]
43
[ "66-24=42", "82/82=1", "42+1=43" ]
Current State: 43:[66, 82, 82, 24], Operations: [] Exploring Operation: 66-24=42, Resulting Numbers: [82, 82, 42] Generated Node #2: [82, 82, 42] from Operation: 66-24=42 Current State: 43:[82, 82, 42], Operations: ['66-24=42'] Exploring Operation: 82/82=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 82/82=1 Current State: 43:[42, 1], Operations: ['66-24=42', '82/82=1'] Exploring Operation: 42+1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 69, 94, 8, 19 ]
14
[ "94-69=25", "19-8=11", "25-11=14" ]
Current State: 14:[69, 94, 8, 19], Operations: [] Exploring Operation: 94-69=25, Resulting Numbers: [8, 19, 25] Generated Node #2: [8, 19, 25] from Operation: 94-69=25 Current State: 14:[8, 19, 25], Operations: ['94-69=25'] Exploring Operation: 19-8=11, Resulting Numbers: [25, 11] Generated Node #3: [25, 11] from Operation: 19-8=11 Current State: 14:[25, 11], Operations: ['94-69=25', '19-8=11'] Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 3, 1, 44, 20 ]
27
[ "3*1=3", "44-20=24", "3+24=27" ]
Current State: 27:[3, 1, 44, 20], Operations: [] Exploring Operation: 3*1=3, Resulting Numbers: [44, 20, 3] Generated Node #2: [44, 20, 3] from Operation: 3*1=3 Current State: 27:[44, 20, 3], Operations: ['3*1=3'] Exploring Operation: 44-20=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 44-20=24 Current State: 27:[3, 24], Operations: ['3*1=3', '44-20=24'] Exploring Operation: 3+24=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 30, 67, 97, 20 ]
45
[ "97-67=30", "30*30=900", "900/20=45" ]
Current State: 45:[30, 67, 97, 20], Operations: [] Exploring Operation: 97-67=30, Resulting Numbers: [30, 20, 30] Generated Node #2: [30, 20, 30] from Operation: 97-67=30 Current State: 45:[30, 20, 30], Operations: ['97-67=30'] Exploring Operation: 30*30=900, Resulting Numbers: [20, 900] Generated Node #3: [20, 900] from Operation: 30*30=900 Current State: 45:[20, 900], Operations: ['97-67=30', '30*30=900'] Exploring Operation: 900/20=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 97, 38, 72, 29 ]
77
[ "97*29=2813", "38*72=2736", "2813-2736=77" ]
Current State: 77:[97, 38, 72, 29], Operations: [] Exploring Operation: 97*29=2813, Resulting Numbers: [38, 72, 2813] Generated Node #2: [38, 72, 2813] from Operation: 97*29=2813 Current State: 77:[38, 72, 2813], Operations: ['97*29=2813'] Exploring Operation: 38*72=2736, Resulting Numbers: [2813, 2736] Generated Node #3: [2813, 2736] from Operation: 38*72=2736 Current State: 77:[2813, 2736], Operations: ['97*29=2813', '38*72=2736'] Exploring Operation: 2813-2736=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 34, 16, 75, 33 ]
59
[ "34-33=1", "75-16=59", "1*59=59" ]
Current State: 59:[34, 16, 75, 33], Operations: [] Exploring Operation: 34-33=1, Resulting Numbers: [16, 75, 1] Generated Node #2: [16, 75, 1] from Operation: 34-33=1 Current State: 59:[16, 75, 1], Operations: ['34-33=1'] Exploring Operation: 75-16=59, Resulting Numbers: [1, 59] Generated Node #3: [1, 59] from Operation: 75-16=59 Current State: 59:[1, 59], Operations: ['34-33=1', '75-16=59'] Exploring Operation: 1*59=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 68, 15, 49, 61 ]
95
[ "68+15=83", "61-49=12", "83+12=95" ]
Current State: 95:[68, 15, 49, 61], Operations: [] Exploring Operation: 68+15=83, Resulting Numbers: [49, 61, 83] Generated Node #2: [49, 61, 83] from Operation: 68+15=83 Current State: 95:[49, 61, 83], Operations: ['68+15=83'] Exploring Operation: 61-49=12, Resulting Numbers: [83, 12] Generated Node #3: [83, 12] from Operation: 61-49=12 Current State: 95:[83, 12], Operations: ['68+15=83', '61-49=12'] Exploring Operation: 83+12=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 85, 62, 34, 19 ]
94
[ "85+62=147", "34+19=53", "147-53=94" ]
Current State: 94:[85, 62, 34, 19], Operations: [] Exploring Operation: 85+62=147, Resulting Numbers: [34, 19, 147] Generated Node #2: [34, 19, 147] from Operation: 85+62=147 Current State: 94:[34, 19, 147], Operations: ['85+62=147'] Exploring Operation: 34+19=53, Resulting Numbers: [147, 53] Generated Node #3: [147, 53] from Operation: 34+19=53 Current State: 94:[147, 53], Operations: ['85+62=147', '34+19=53'] Exploring Operation: 147-53=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 58, 87, 80, 16 ]
54
[ "87-80=7", "16*7=112", "112-58=54" ]
Current State: 54:[58, 87, 80, 16], Operations: [] Exploring Operation: 87-80=7, Resulting Numbers: [58, 16, 7] Generated Node #2: [58, 16, 7] from Operation: 87-80=7 Current State: 54:[58, 16, 7], Operations: ['87-80=7'] Exploring Operation: 16*7=112, Resulting Numbers: [58, 112] Generated Node #3: [58, 112] from Operation: 16*7=112 Current State: 54:[58, 112], Operations: ['87-80=7', '16*7=112'] Exploring Operation: 112-58=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 62, 70, 29, 72 ]
66
[ "62-29=33", "72-70=2", "33*2=66" ]
Current State: 66:[62, 70, 29, 72], Operations: [] Exploring Operation: 62-29=33, Resulting Numbers: [70, 72, 33] Generated Node #2: [70, 72, 33] from Operation: 62-29=33 Current State: 66:[70, 72, 33], Operations: ['62-29=33'] Exploring Operation: 72-70=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 72-70=2 Current State: 66:[33, 2], Operations: ['62-29=33', '72-70=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 91, 12, 4, 1 ]
95
[ "91+1=92", "12/4=3", "92+3=95" ]
Current State: 95:[91, 12, 4, 1], Operations: [] Exploring Operation: 91+1=92, Resulting Numbers: [12, 4, 92] Generated Node #2: [12, 4, 92] from Operation: 91+1=92 Current State: 95:[12, 4, 92], Operations: ['91+1=92'] Exploring Operation: 12/4=3, Resulting Numbers: [92, 3] Generated Node #3: [92, 3] from Operation: 12/4=3 Current State: 95:[92, 3], Operations: ['91+1=92', '12/4=3'] Exploring Operation: 92+3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 5, 56, 49, 2 ]
72
[ "49-5=44", "56/2=28", "44+28=72" ]
Current State: 72:[5, 56, 49, 2], Operations: [] Exploring Operation: 49-5=44, Resulting Numbers: [56, 2, 44] Generated Node #2: [56, 2, 44] from Operation: 49-5=44 Current State: 72:[56, 2, 44], Operations: ['49-5=44'] Exploring Operation: 56/2=28, Resulting Numbers: [44, 28] Generated Node #3: [44, 28] from Operation: 56/2=28 Current State: 72:[44, 28], Operations: ['49-5=44', '56/2=28'] Exploring Operation: 44+28=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 2, 12, 2, 86 ]
66
[ "12-2=10", "2*10=20", "86-20=66" ]
Current State: 66:[2, 12, 2, 86], Operations: [] Exploring Operation: 12-2=10, Resulting Numbers: [86, 10] Generated Node #2: [86, 10] from Operation: 12-2=10 Current State: 66:[86, 10], Operations: ['12-2=10'] Exploring Operation: 2*10=20, Resulting Numbers: [86, 20] Generated Node #3: [86, 20] from Operation: 2*10=20 Current State: 66:[86, 20], Operations: ['12-2=10', '2*10=20'] Exploring Operation: 86-20=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 60, 2, 92, 81 ]
53
[ "60*2=120", "92+81=173", "173-120=53" ]
Current State: 53:[60, 2, 92, 81], Operations: [] Exploring Operation: 60*2=120, Resulting Numbers: [92, 81, 120] Generated Node #2: [92, 81, 120] from Operation: 60*2=120 Current State: 53:[92, 81, 120], Operations: ['60*2=120'] Exploring Operation: 92+81=173, Resulting Numbers: [120, 173] Generated Node #3: [120, 173] from Operation: 92+81=173 Current State: 53:[120, 173], Operations: ['60*2=120', '92+81=173'] Exploring Operation: 173-120=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 24, 40, 12, 38 ]
38
[ "24+40=64", "38-12=26", "64-26=38" ]
Current State: 38:[24, 40, 12, 38], Operations: [] Exploring Operation: 24+40=64, Resulting Numbers: [12, 38, 64] Generated Node #2: [12, 38, 64] from Operation: 24+40=64 Current State: 38:[12, 38, 64], Operations: ['24+40=64'] Exploring Operation: 38-12=26, Resulting Numbers: [64, 26] Generated Node #3: [64, 26] from Operation: 38-12=26 Current State: 38:[64, 26], Operations: ['24+40=64', '38-12=26'] Exploring Operation: 64-26=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 84, 48, 11, 46 ]
97
[ "84+48=132", "46-11=35", "132-35=97" ]
Current State: 97:[84, 48, 11, 46], Operations: [] Exploring Operation: 84+48=132, Resulting Numbers: [11, 46, 132] Generated Node #2: [11, 46, 132] from Operation: 84+48=132 Current State: 97:[11, 46, 132], Operations: ['84+48=132'] Exploring Operation: 46-11=35, Resulting Numbers: [132, 35] Generated Node #3: [132, 35] from Operation: 46-11=35 Current State: 97:[132, 35], Operations: ['84+48=132', '46-11=35'] Exploring Operation: 132-35=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 83, 7, 82, 41 ]
47
[ "83-7=76", "82+41=123", "123-76=47" ]
Current State: 47:[83, 7, 82, 41], Operations: [] Exploring Operation: 83-7=76, Resulting Numbers: [82, 41, 76] Generated Node #2: [82, 41, 76] from Operation: 83-7=76 Current State: 47:[82, 41, 76], Operations: ['83-7=76'] Exploring Operation: 82+41=123, Resulting Numbers: [76, 123] Generated Node #3: [76, 123] from Operation: 82+41=123 Current State: 47:[76, 123], Operations: ['83-7=76', '82+41=123'] Exploring Operation: 123-76=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 89, 40, 84, 71 ]
79
[ "89-84=5", "40/5=8", "71+8=79" ]
Current State: 79:[89, 40, 84, 71], Operations: [] Exploring Operation: 89-84=5, Resulting Numbers: [40, 71, 5] Generated Node #2: [40, 71, 5] from Operation: 89-84=5 Current State: 79:[40, 71, 5], Operations: ['89-84=5'] Exploring Operation: 40/5=8, Resulting Numbers: [71, 8] Generated Node #3: [71, 8] from Operation: 40/5=8 Current State: 79:[71, 8], Operations: ['89-84=5', '40/5=8'] Exploring Operation: 71+8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 93, 51, 26, 91 ]
23
[ "93-51=42", "91-26=65", "65-42=23" ]
Current State: 23:[93, 51, 26, 91], Operations: [] Exploring Operation: 93-51=42, Resulting Numbers: [26, 91, 42] Generated Node #2: [26, 91, 42] from Operation: 93-51=42 Current State: 23:[26, 91, 42], Operations: ['93-51=42'] Exploring Operation: 91-26=65, Resulting Numbers: [42, 65] Generated Node #3: [42, 65] from Operation: 91-26=65 Current State: 23:[42, 65], Operations: ['93-51=42', '91-26=65'] Exploring Operation: 65-42=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 87, 13, 83, 8 ]
94
[ "83+8=91", "91/13=7", "87+7=94" ]
Current State: 94:[87, 13, 83, 8], Operations: [] Exploring Operation: 83+8=91, Resulting Numbers: [87, 13, 91] Generated Node #2: [87, 13, 91] from Operation: 83+8=91 Current State: 94:[87, 13, 91], Operations: ['83+8=91'] Exploring Operation: 91/13=7, Resulting Numbers: [87, 7] Generated Node #3: [87, 7] from Operation: 91/13=7 Current State: 94:[87, 7], Operations: ['83+8=91', '91/13=7'] Exploring Operation: 87+7=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 10, 3, 80, 47 ]
39
[ "80-10=70", "47+70=117", "117/3=39" ]
Current State: 39:[10, 3, 80, 47], Operations: [] Exploring Operation: 80-10=70, Resulting Numbers: [3, 47, 70] Generated Node #2: [3, 47, 70] from Operation: 80-10=70 Current State: 39:[3, 47, 70], Operations: ['80-10=70'] Exploring Operation: 47+70=117, Resulting Numbers: [3, 117] Generated Node #3: [3, 117] from Operation: 47+70=117 Current State: 39:[3, 117], Operations: ['80-10=70', '47+70=117'] Exploring Operation: 117/3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 5, 92, 2, 61 ]
75
[ "92/2=46", "61-46=15", "5*15=75" ]
Current State: 75:[5, 92, 2, 61], Operations: [] Exploring Operation: 92/2=46, Resulting Numbers: [5, 61, 46] Generated Node #2: [5, 61, 46] from Operation: 92/2=46 Current State: 75:[5, 61, 46], Operations: ['92/2=46'] Exploring Operation: 61-46=15, Resulting Numbers: [5, 15] Generated Node #3: [5, 15] from Operation: 61-46=15 Current State: 75:[5, 15], Operations: ['92/2=46', '61-46=15'] Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 96, 25, 55, 84 ]
42
[ "96-25=71", "84-55=29", "71-29=42" ]
Current State: 42:[96, 25, 55, 84], Operations: [] Exploring Operation: 96-25=71, Resulting Numbers: [55, 84, 71] Generated Node #2: [55, 84, 71] from Operation: 96-25=71 Current State: 42:[55, 84, 71], Operations: ['96-25=71'] Exploring Operation: 84-55=29, Resulting Numbers: [71, 29] Generated Node #3: [71, 29] from Operation: 84-55=29 Current State: 42:[71, 29], Operations: ['96-25=71', '84-55=29'] Exploring Operation: 71-29=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 48, 4, 57, 32 ]
37
[ "48+4=52", "57+32=89", "89-52=37" ]
Current State: 37:[48, 4, 57, 32], Operations: [] Exploring Operation: 48+4=52, Resulting Numbers: [57, 32, 52] Generated Node #2: [57, 32, 52] from Operation: 48+4=52 Current State: 37:[57, 32, 52], Operations: ['48+4=52'] Exploring Operation: 57+32=89, Resulting Numbers: [52, 89] Generated Node #3: [52, 89] from Operation: 57+32=89 Current State: 37:[52, 89], Operations: ['48+4=52', '57+32=89'] Exploring Operation: 89-52=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 72, 7, 5, 33 ]
86
[ "72+7=79", "5*33=165", "165-79=86" ]
Current State: 86:[72, 7, 5, 33], Operations: [] Exploring Operation: 72+7=79, Resulting Numbers: [5, 33, 79] Generated Node #2: [5, 33, 79] from Operation: 72+7=79 Current State: 86:[5, 33, 79], Operations: ['72+7=79'] Exploring Operation: 5*33=165, Resulting Numbers: [79, 165] Generated Node #3: [79, 165] from Operation: 5*33=165 Current State: 86:[79, 165], Operations: ['72+7=79', '5*33=165'] Exploring Operation: 165-79=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 65, 48, 78, 43 ]
83
[ "65*48=3120", "3120/78=40", "43+40=83" ]
Current State: 83:[65, 48, 78, 43], Operations: [] Exploring Operation: 65*48=3120, Resulting Numbers: [78, 43, 3120] Generated Node #2: [78, 43, 3120] from Operation: 65*48=3120 Current State: 83:[78, 43, 3120], Operations: ['65*48=3120'] Exploring Operation: 3120/78=40, Resulting Numbers: [43, 40] Generated Node #3: [43, 40] from Operation: 3120/78=40 Current State: 83:[43, 40], Operations: ['65*48=3120', '3120/78=40'] Exploring Operation: 43+40=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 12, 48, 54, 41 ]
43
[ "54-48=6", "12/6=2", "41+2=43" ]
Current State: 43:[12, 48, 54, 41], Operations: [] Exploring Operation: 54-48=6, Resulting Numbers: [12, 41, 6] Generated Node #2: [12, 41, 6] from Operation: 54-48=6 Current State: 43:[12, 41, 6], Operations: ['54-48=6'] Exploring Operation: 12/6=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 12/6=2 Current State: 43:[41, 2], Operations: ['54-48=6', '12/6=2'] Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 82, 71, 53, 50 ]
57
[ "82*50=4100", "4100-53=4047", "4047/71=57" ]
Current State: 57:[82, 71, 53, 50], Operations: [] Exploring Operation: 82*50=4100, Resulting Numbers: [71, 53, 4100] Generated Node #2: [71, 53, 4100] from Operation: 82*50=4100 Current State: 57:[71, 53, 4100], Operations: ['82*50=4100'] Exploring Operation: 4100-53=4047, Resulting Numbers: [71, 4047] Generated Node #3: [71, 4047] from Operation: 4100-53=4047 Current State: 57:[71, 4047], Operations: ['82*50=4100', '4100-53=4047'] Exploring Operation: 4047/71=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 8, 44, 26, 65 ]
39
[ "8+44=52", "26+65=91", "91-52=39" ]
Current State: 39:[8, 44, 26, 65], Operations: [] Exploring Operation: 8+44=52, Resulting Numbers: [26, 65, 52] Generated Node #2: [26, 65, 52] from Operation: 8+44=52 Current State: 39:[26, 65, 52], Operations: ['8+44=52'] Exploring Operation: 26+65=91, Resulting Numbers: [52, 91] Generated Node #3: [52, 91] from Operation: 26+65=91 Current State: 39:[52, 91], Operations: ['8+44=52', '26+65=91'] Exploring Operation: 91-52=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 39, 78, 45, 8 ]
74
[ "78/39=2", "45-8=37", "2*37=74" ]
Current State: 74:[39, 78, 45, 8], Operations: [] Exploring Operation: 78/39=2, Resulting Numbers: [45, 8, 2] Generated Node #2: [45, 8, 2] from Operation: 78/39=2 Current State: 74:[45, 8, 2], Operations: ['78/39=2'] Exploring Operation: 45-8=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 45-8=37 Current State: 74:[2, 37], Operations: ['78/39=2', '45-8=37'] Exploring Operation: 2*37=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 33, 39, 22, 66 ]
46
[ "39*22=858", "858/66=13", "33+13=46" ]
Current State: 46:[33, 39, 22, 66], Operations: [] Exploring Operation: 39*22=858, Resulting Numbers: [33, 66, 858] Generated Node #2: [33, 66, 858] from Operation: 39*22=858 Current State: 46:[33, 66, 858], Operations: ['39*22=858'] Exploring Operation: 858/66=13, Resulting Numbers: [33, 13] Generated Node #3: [33, 13] from Operation: 858/66=13 Current State: 46:[33, 13], Operations: ['39*22=858', '858/66=13'] Exploring Operation: 33+13=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 80, 75, 25, 60 ]
44
[ "80-25=55", "60*55=3300", "3300/75=44" ]
Current State: 44:[80, 75, 25, 60], Operations: [] Exploring Operation: 80-25=55, Resulting Numbers: [75, 60, 55] Generated Node #2: [75, 60, 55] from Operation: 80-25=55 Current State: 44:[75, 60, 55], Operations: ['80-25=55'] Exploring Operation: 60*55=3300, Resulting Numbers: [75, 3300] Generated Node #3: [75, 3300] from Operation: 60*55=3300 Current State: 44:[75, 3300], Operations: ['80-25=55', '60*55=3300'] Exploring Operation: 3300/75=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 57, 31, 79, 19 ]
45
[ "57/19=3", "79-31=48", "48-3=45" ]
Current State: 45:[57, 31, 79, 19], Operations: [] Exploring Operation: 57/19=3, Resulting Numbers: [31, 79, 3] Generated Node #2: [31, 79, 3] from Operation: 57/19=3 Current State: 45:[31, 79, 3], Operations: ['57/19=3'] Exploring Operation: 79-31=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 79-31=48 Current State: 45:[3, 48], Operations: ['57/19=3', '79-31=48'] Exploring Operation: 48-3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 84, 98, 72, 21 ]
89
[ "84+98=182", "72+21=93", "182-93=89" ]
Current State: 89:[84, 98, 72, 21], Operations: [] Exploring Operation: 84+98=182, Resulting Numbers: [72, 21, 182] Generated Node #2: [72, 21, 182] from Operation: 84+98=182 Current State: 89:[72, 21, 182], Operations: ['84+98=182'] Exploring Operation: 72+21=93, Resulting Numbers: [182, 93] Generated Node #3: [182, 93] from Operation: 72+21=93 Current State: 89:[182, 93], Operations: ['84+98=182', '72+21=93'] Exploring Operation: 182-93=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 74, 88, 12, 91 ]
70
[ "91-88=3", "12/3=4", "74-4=70" ]
Current State: 70:[74, 88, 12, 91], Operations: [] Exploring Operation: 91-88=3, Resulting Numbers: [74, 12, 3] Generated Node #2: [74, 12, 3] from Operation: 91-88=3 Current State: 70:[74, 12, 3], Operations: ['91-88=3'] Exploring Operation: 12/3=4, Resulting Numbers: [74, 4] Generated Node #3: [74, 4] from Operation: 12/3=4 Current State: 70:[74, 4], Operations: ['91-88=3', '12/3=4'] Exploring Operation: 74-4=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 33, 58, 57, 55 ]
42
[ "58-55=3", "33*3=99", "99-57=42" ]
Current State: 42:[33, 58, 57, 55], Operations: [] Exploring Operation: 58-55=3, Resulting Numbers: [33, 57, 3] Generated Node #2: [33, 57, 3] from Operation: 58-55=3 Current State: 42:[33, 57, 3], Operations: ['58-55=3'] Exploring Operation: 33*3=99, Resulting Numbers: [57, 99] Generated Node #3: [57, 99] from Operation: 33*3=99 Current State: 42:[57, 99], Operations: ['58-55=3', '33*3=99'] Exploring Operation: 99-57=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 7, 90, 35, 36 ]
97
[ "7+90=97", "36-35=1", "97*1=97" ]
Current State: 97:[7, 90, 35, 36], Operations: [] Exploring Operation: 7+90=97, Resulting Numbers: [35, 36, 97] Generated Node #2: [35, 36, 97] from Operation: 7+90=97 Current State: 97:[35, 36, 97], Operations: ['7+90=97'] Exploring Operation: 36-35=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 36-35=1 Current State: 97:[97, 1], Operations: ['7+90=97', '36-35=1'] Exploring Operation: 97*1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 3, 68, 27, 68 ]
84
[ "68/68=1", "27+1=28", "3*28=84" ]
Current State: 84:[3, 68, 27, 68], Operations: [] Exploring Operation: 68/68=1, Resulting Numbers: [3, 27, 1] Generated Node #2: [3, 27, 1] from Operation: 68/68=1 Current State: 84:[3, 27, 1], Operations: ['68/68=1'] Exploring Operation: 27+1=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 27+1=28 Current State: 84:[3, 28], Operations: ['68/68=1', '27+1=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 4, 27, 86, 93 ]
56
[ "27+93=120", "120/4=30", "86-30=56" ]
Current State: 56:[4, 27, 86, 93], Operations: [] Exploring Operation: 27+93=120, Resulting Numbers: [4, 86, 120] Generated Node #2: [4, 86, 120] from Operation: 27+93=120 Current State: 56:[4, 86, 120], Operations: ['27+93=120'] Exploring Operation: 120/4=30, Resulting Numbers: [86, 30] Generated Node #3: [86, 30] from Operation: 120/4=30 Current State: 56:[86, 30], Operations: ['27+93=120', '120/4=30'] Exploring Operation: 86-30=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 12, 3, 79, 96 ]
74
[ "96/12=8", "3+79=82", "82-8=74" ]
Current State: 74:[12, 3, 79, 96], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [3, 79, 8] Generated Node #2: [3, 79, 8] from Operation: 96/12=8 Current State: 74:[3, 79, 8], Operations: ['96/12=8'] Exploring Operation: 3+79=82, Resulting Numbers: [8, 82] Generated Node #3: [8, 82] from Operation: 3+79=82 Current State: 74:[8, 82], Operations: ['96/12=8', '3+79=82'] Exploring Operation: 82-8=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 45, 9, 16, 6 ]
64
[ "45+9=54", "16-6=10", "54+10=64" ]
Current State: 64:[45, 9, 16, 6], Operations: [] Exploring Operation: 45+9=54, Resulting Numbers: [16, 6, 54] Generated Node #2: [16, 6, 54] from Operation: 45+9=54 Current State: 64:[16, 6, 54], Operations: ['45+9=54'] Exploring Operation: 16-6=10, Resulting Numbers: [54, 10] Generated Node #3: [54, 10] from Operation: 16-6=10 Current State: 64:[54, 10], Operations: ['45+9=54', '16-6=10'] Exploring Operation: 54+10=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 56, 9, 60, 68 ]
48
[ "68-56=12", "9*12=108", "108-60=48" ]
Current State: 48:[56, 9, 60, 68], Operations: [] Exploring Operation: 68-56=12, Resulting Numbers: [9, 60, 12] Generated Node #2: [9, 60, 12] from Operation: 68-56=12 Current State: 48:[9, 60, 12], Operations: ['68-56=12'] Exploring Operation: 9*12=108, Resulting Numbers: [60, 108] Generated Node #3: [60, 108] from Operation: 9*12=108 Current State: 48:[60, 108], Operations: ['68-56=12', '9*12=108'] Exploring Operation: 108-60=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 10, 75, 6, 56 ]
76
[ "10-6=4", "75-56=19", "4*19=76" ]
Current State: 76:[10, 75, 6, 56], Operations: [] Exploring Operation: 10-6=4, Resulting Numbers: [75, 56, 4] Generated Node #2: [75, 56, 4] from Operation: 10-6=4 Current State: 76:[75, 56, 4], Operations: ['10-6=4'] Exploring Operation: 75-56=19, Resulting Numbers: [4, 19] Generated Node #3: [4, 19] from Operation: 75-56=19 Current State: 76:[4, 19], Operations: ['10-6=4', '75-56=19'] Exploring Operation: 4*19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 11, 6, 30, 13 ]
33
[ "13-11=2", "6/2=3", "30+3=33" ]
Current State: 33:[11, 6, 30, 13], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [6, 30, 2] Generated Node #2: [6, 30, 2] from Operation: 13-11=2 Current State: 33:[6, 30, 2], Operations: ['13-11=2'] Exploring Operation: 6/2=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 6/2=3 Current State: 33:[30, 3], Operations: ['13-11=2', '6/2=3'] Exploring Operation: 30+3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 43, 75, 18, 23 ]
77
[ "43+75=118", "18+23=41", "118-41=77" ]
Current State: 77:[43, 75, 18, 23], Operations: [] Exploring Operation: 43+75=118, Resulting Numbers: [18, 23, 118] Generated Node #2: [18, 23, 118] from Operation: 43+75=118 Current State: 77:[18, 23, 118], Operations: ['43+75=118'] Exploring Operation: 18+23=41, Resulting Numbers: [118, 41] Generated Node #3: [118, 41] from Operation: 18+23=41 Current State: 77:[118, 41], Operations: ['43+75=118', '18+23=41'] Exploring Operation: 118-41=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 74, 12, 39, 78 ]
60
[ "74-12=62", "78/39=2", "62-2=60" ]
Current State: 60:[74, 12, 39, 78], Operations: [] Exploring Operation: 74-12=62, Resulting Numbers: [39, 78, 62] Generated Node #2: [39, 78, 62] from Operation: 74-12=62 Current State: 60:[39, 78, 62], Operations: ['74-12=62'] Exploring Operation: 78/39=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 78/39=2 Current State: 60:[62, 2], Operations: ['74-12=62', '78/39=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 96, 16, 96, 48 ]
33
[ "96/96=1", "48-16=32", "1+32=33" ]
Current State: 33:[96, 16, 96, 48], Operations: [] Exploring Operation: 96/96=1, Resulting Numbers: [16, 48, 1] Generated Node #2: [16, 48, 1] from Operation: 96/96=1 Current State: 33:[16, 48, 1], Operations: ['96/96=1'] Exploring Operation: 48-16=32, Resulting Numbers: [1, 32] Generated Node #3: [1, 32] from Operation: 48-16=32 Current State: 33:[1, 32], Operations: ['96/96=1', '48-16=32'] Exploring Operation: 1+32=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 56, 48, 44, 9 ]
64
[ "56-44=12", "48*12=576", "576/9=64" ]
Current State: 64:[56, 48, 44, 9], Operations: [] Exploring Operation: 56-44=12, Resulting Numbers: [48, 9, 12] Generated Node #2: [48, 9, 12] from Operation: 56-44=12 Current State: 64:[48, 9, 12], Operations: ['56-44=12'] Exploring Operation: 48*12=576, Resulting Numbers: [9, 576] Generated Node #3: [9, 576] from Operation: 48*12=576 Current State: 64:[9, 576], Operations: ['56-44=12', '48*12=576'] Exploring Operation: 576/9=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 51, 3, 75, 85 ]
27
[ "51/3=17", "85-75=10", "17+10=27" ]
Current State: 27:[51, 3, 75, 85], Operations: [] Exploring Operation: 51/3=17, Resulting Numbers: [75, 85, 17] Generated Node #2: [75, 85, 17] from Operation: 51/3=17 Current State: 27:[75, 85, 17], Operations: ['51/3=17'] Exploring Operation: 85-75=10, Resulting Numbers: [17, 10] Generated Node #3: [17, 10] from Operation: 85-75=10 Current State: 27:[17, 10], Operations: ['51/3=17', '85-75=10'] Exploring Operation: 17+10=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 36, 40, 3, 38 ]
83
[ "38-36=2", "40*2=80", "3+80=83" ]
Current State: 83:[36, 40, 3, 38], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [40, 3, 2] Generated Node #2: [40, 3, 2] from Operation: 38-36=2 Current State: 83:[40, 3, 2], Operations: ['38-36=2'] Exploring Operation: 40*2=80, Resulting Numbers: [3, 80] Generated Node #3: [3, 80] from Operation: 40*2=80 Current State: 83:[3, 80], Operations: ['38-36=2', '40*2=80'] Exploring Operation: 3+80=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 1, 88, 89, 86 ]
86
[ "1+88=89", "89+86=175", "175-89=86" ]
Current State: 86:[1, 88, 89, 86], Operations: [] Exploring Operation: 1+88=89, Resulting Numbers: [89, 86, 89] Generated Node #2: [89, 86, 89] from Operation: 1+88=89 Current State: 86:[89, 86, 89], Operations: ['1+88=89'] Exploring Operation: 89+86=175, Resulting Numbers: [175] 175,86 equal: Goal Reached Exploring Operation: 175-89=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 87, 3, 41, 30 ]
60
[ "87-30=57", "57/3=19", "41+19=60" ]
Current State: 60:[87, 3, 41, 30], Operations: [] Exploring Operation: 87-30=57, Resulting Numbers: [3, 41, 57] Generated Node #2: [3, 41, 57] from Operation: 87-30=57 Current State: 60:[3, 41, 57], Operations: ['87-30=57'] Exploring Operation: 57/3=19, Resulting Numbers: [41, 19] Generated Node #3: [41, 19] from Operation: 57/3=19 Current State: 60:[41, 19], Operations: ['87-30=57', '57/3=19'] Exploring Operation: 41+19=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 20, 97, 66, 2 ]
55
[ "97-20=77", "66*2=132", "132-77=55" ]
Current State: 55:[20, 97, 66, 2], Operations: [] Exploring Operation: 97-20=77, Resulting Numbers: [66, 2, 77] Generated Node #2: [66, 2, 77] from Operation: 97-20=77 Current State: 55:[66, 2, 77], Operations: ['97-20=77'] Exploring Operation: 66*2=132, Resulting Numbers: [77, 132] Generated Node #3: [77, 132] from Operation: 66*2=132 Current State: 55:[77, 132], Operations: ['97-20=77', '66*2=132'] Exploring Operation: 132-77=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 33, 4, 4, 22 ]
44
[ "33*4=132", "4*22=88", "132-88=44" ]
Current State: 44:[33, 4, 4, 22], Operations: [] Exploring Operation: 33*4=132, Resulting Numbers: [22, 132] Generated Node #2: [22, 132] from Operation: 33*4=132 Current State: 44:[22, 132], Operations: ['33*4=132'] Exploring Operation: 4*22=88, Resulting Numbers: [132, 88] Generated Node #3: [132, 88] from Operation: 4*22=88 Current State: 44:[132, 88], Operations: ['33*4=132', '4*22=88'] Exploring Operation: 132-88=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 65, 66, 5, 43 ]
44
[ "65-43=22", "5*22=110", "110-66=44" ]
Current State: 44:[65, 66, 5, 43], Operations: [] Exploring Operation: 65-43=22, Resulting Numbers: [66, 5, 22] Generated Node #2: [66, 5, 22] from Operation: 65-43=22 Current State: 44:[66, 5, 22], Operations: ['65-43=22'] Exploring Operation: 5*22=110, Resulting Numbers: [66, 110] Generated Node #3: [66, 110] from Operation: 5*22=110 Current State: 44:[66, 110], Operations: ['65-43=22', '5*22=110'] Exploring Operation: 110-66=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 40, 77, 78, 98 ]
17
[ "77-40=37", "98-78=20", "37-20=17" ]
Current State: 17:[40, 77, 78, 98], Operations: [] Exploring Operation: 77-40=37, Resulting Numbers: [78, 98, 37] Generated Node #2: [78, 98, 37] from Operation: 77-40=37 Current State: 17:[78, 98, 37], Operations: ['77-40=37'] Exploring Operation: 98-78=20, Resulting Numbers: [37, 20] Generated Node #3: [37, 20] from Operation: 98-78=20 Current State: 17:[37, 20], Operations: ['77-40=37', '98-78=20'] Exploring Operation: 37-20=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 51, 25, 82, 82 ]
76
[ "51+25=76", "82-82=0", "76+0=76" ]
Current State: 76:[51, 25, 82, 82], Operations: [] Exploring Operation: 51+25=76, Resulting Numbers: [82, 82, 76] Generated Node #2: [82, 82, 76] from Operation: 51+25=76 Current State: 76:[82, 82, 76], Operations: ['51+25=76'] Exploring Operation: 82-82=0, Resulting Numbers: [76, 0] Generated Node #3: [76, 0] from Operation: 82-82=0 Current State: 76:[76, 0], Operations: ['51+25=76', '82-82=0'] Exploring Operation: 76+0=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 41, 15, 77, 88 ]
49
[ "41+15=56", "77*56=4312", "4312/88=49" ]
Current State: 49:[41, 15, 77, 88], Operations: [] Exploring Operation: 41+15=56, Resulting Numbers: [77, 88, 56] Generated Node #2: [77, 88, 56] from Operation: 41+15=56 Current State: 49:[77, 88, 56], Operations: ['41+15=56'] Exploring Operation: 77*56=4312, Resulting Numbers: [88, 4312] Generated Node #3: [88, 4312] from Operation: 77*56=4312 Current State: 49:[88, 4312], Operations: ['41+15=56', '77*56=4312'] Exploring Operation: 4312/88=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 59, 47, 19, 3 ]
34
[ "59-47=12", "19+3=22", "12+22=34" ]
Current State: 34:[59, 47, 19, 3], Operations: [] Exploring Operation: 59-47=12, Resulting Numbers: [19, 3, 12] Generated Node #2: [19, 3, 12] from Operation: 59-47=12 Current State: 34:[19, 3, 12], Operations: ['59-47=12'] Exploring Operation: 19+3=22, Resulting Numbers: [12, 22] Generated Node #3: [12, 22] from Operation: 19+3=22 Current State: 34:[12, 22], Operations: ['59-47=12', '19+3=22'] Exploring Operation: 12+22=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 10, 43, 48, 34 ]
16
[ "48-43=5", "10*5=50", "50-34=16" ]
Current State: 16:[10, 43, 48, 34], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [10, 34, 5] Generated Node #2: [10, 34, 5] from Operation: 48-43=5 Current State: 16:[10, 34, 5], Operations: ['48-43=5'] Exploring Operation: 10*5=50, Resulting Numbers: [34, 50] Generated Node #3: [34, 50] from Operation: 10*5=50 Current State: 16:[34, 50], Operations: ['48-43=5', '10*5=50'] Exploring Operation: 50-34=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 82, 86, 54, 81 ]
33
[ "82+86=168", "54+81=135", "168-135=33" ]
Current State: 33:[82, 86, 54, 81], Operations: [] Exploring Operation: 82+86=168, Resulting Numbers: [54, 81, 168] Generated Node #2: [54, 81, 168] from Operation: 82+86=168 Current State: 33:[54, 81, 168], Operations: ['82+86=168'] Exploring Operation: 54+81=135, Resulting Numbers: [168, 135] Generated Node #3: [168, 135] from Operation: 54+81=135 Current State: 33:[168, 135], Operations: ['82+86=168', '54+81=135'] Exploring Operation: 168-135=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 93, 57, 53, 12 ]
90
[ "57-53=4", "12/4=3", "93-3=90" ]
Current State: 90:[93, 57, 53, 12], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [93, 12, 4] Generated Node #2: [93, 12, 4] from Operation: 57-53=4 Current State: 90:[93, 12, 4], Operations: ['57-53=4'] Exploring Operation: 12/4=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 12/4=3 Current State: 90:[93, 3], Operations: ['57-53=4', '12/4=3'] Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 53, 37, 80, 50 ]
60
[ "53+37=90", "80-50=30", "90-30=60" ]
Current State: 60:[53, 37, 80, 50], Operations: [] Exploring Operation: 53+37=90, Resulting Numbers: [80, 50, 90] Generated Node #2: [80, 50, 90] from Operation: 53+37=90 Current State: 60:[80, 50, 90], Operations: ['53+37=90'] Exploring Operation: 80-50=30, Resulting Numbers: [90, 30] Generated Node #3: [90, 30] from Operation: 80-50=30 Current State: 60:[90, 30], Operations: ['53+37=90', '80-50=30'] Exploring Operation: 90-30=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 17, 47, 97, 10 ]
26
[ "17*10=170", "47+97=144", "170-144=26" ]
Current State: 26:[17, 47, 97, 10], Operations: [] Exploring Operation: 17*10=170, Resulting Numbers: [47, 97, 170] Generated Node #2: [47, 97, 170] from Operation: 17*10=170 Current State: 26:[47, 97, 170], Operations: ['17*10=170'] Exploring Operation: 47+97=144, Resulting Numbers: [170, 144] Generated Node #3: [170, 144] from Operation: 47+97=144 Current State: 26:[170, 144], Operations: ['17*10=170', '47+97=144'] Exploring Operation: 170-144=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 3, 54, 19, 70 ]
73
[ "3+54=57", "57/19=3", "70+3=73" ]
Current State: 73:[3, 54, 19, 70], Operations: [] Exploring Operation: 3+54=57, Resulting Numbers: [19, 70, 57] Generated Node #2: [19, 70, 57] from Operation: 3+54=57 Current State: 73:[19, 70, 57], Operations: ['3+54=57'] Exploring Operation: 57/19=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 57/19=3 Current State: 73:[70, 3], Operations: ['3+54=57', '57/19=3'] Exploring Operation: 70+3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 77, 15, 63, 54 ]
53
[ "77-15=62", "63-54=9", "62-9=53" ]
Current State: 53:[77, 15, 63, 54], Operations: [] Exploring Operation: 77-15=62, Resulting Numbers: [63, 54, 62] Generated Node #2: [63, 54, 62] from Operation: 77-15=62 Current State: 53:[63, 54, 62], Operations: ['77-15=62'] Exploring Operation: 63-54=9, Resulting Numbers: [62, 9] Generated Node #3: [62, 9] from Operation: 63-54=9 Current State: 53:[62, 9], Operations: ['77-15=62', '63-54=9'] Exploring Operation: 62-9=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 51, 52, 18, 67 ]
50
[ "52-51=1", "67-18=49", "1+49=50" ]
Current State: 50:[51, 52, 18, 67], Operations: [] Exploring Operation: 52-51=1, Resulting Numbers: [18, 67, 1] Generated Node #2: [18, 67, 1] from Operation: 52-51=1 Current State: 50:[18, 67, 1], Operations: ['52-51=1'] Exploring Operation: 67-18=49, Resulting Numbers: [1, 49] Generated Node #3: [1, 49] from Operation: 67-18=49 Current State: 50:[1, 49], Operations: ['52-51=1', '67-18=49'] Exploring Operation: 1+49=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 71, 39, 93, 50 ]
77
[ "71*50=3550", "39*93=3627", "3627-3550=77" ]
Current State: 77:[71, 39, 93, 50], Operations: [] Exploring Operation: 71*50=3550, Resulting Numbers: [39, 93, 3550] Generated Node #2: [39, 93, 3550] from Operation: 71*50=3550 Current State: 77:[39, 93, 3550], Operations: ['71*50=3550'] Exploring Operation: 39*93=3627, Resulting Numbers: [3550, 3627] Generated Node #3: [3550, 3627] from Operation: 39*93=3627 Current State: 77:[3550, 3627], Operations: ['71*50=3550', '39*93=3627'] Exploring Operation: 3627-3550=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 88, 60, 92, 98 ]
83
[ "92-88=4", "60/4=15", "98-15=83" ]
Current State: 83:[88, 60, 92, 98], Operations: [] Exploring Operation: 92-88=4, Resulting Numbers: [60, 98, 4] Generated Node #2: [60, 98, 4] from Operation: 92-88=4 Current State: 83:[60, 98, 4], Operations: ['92-88=4'] Exploring Operation: 60/4=15, Resulting Numbers: [98, 15] Generated Node #3: [98, 15] from Operation: 60/4=15 Current State: 83:[98, 15], Operations: ['92-88=4', '60/4=15'] Exploring Operation: 98-15=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 19, 78, 22, 56 ]
93
[ "78-19=59", "56-22=34", "59+34=93" ]
Current State: 93:[19, 78, 22, 56], Operations: [] Exploring Operation: 78-19=59, Resulting Numbers: [22, 56, 59] Generated Node #2: [22, 56, 59] from Operation: 78-19=59 Current State: 93:[22, 56, 59], Operations: ['78-19=59'] Exploring Operation: 56-22=34, Resulting Numbers: [59, 34] Generated Node #3: [59, 34] from Operation: 56-22=34 Current State: 93:[59, 34], Operations: ['78-19=59', '56-22=34'] Exploring Operation: 59+34=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 20, 83, 66, 26 ]
78
[ "83-20=63", "66-63=3", "26*3=78" ]
Current State: 78:[20, 83, 66, 26], Operations: [] Exploring Operation: 83-20=63, Resulting Numbers: [66, 26, 63] Generated Node #2: [66, 26, 63] from Operation: 83-20=63 Current State: 78:[66, 26, 63], Operations: ['83-20=63'] Exploring Operation: 66-63=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 66-63=3 Current State: 78:[26, 3], Operations: ['83-20=63', '66-63=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 27, 80, 72, 4 ]
29
[ "80-72=8", "8/4=2", "27+2=29" ]
Current State: 29:[27, 80, 72, 4], Operations: [] Exploring Operation: 80-72=8, Resulting Numbers: [27, 4, 8] Generated Node #2: [27, 4, 8] from Operation: 80-72=8 Current State: 29:[27, 4, 8], Operations: ['80-72=8'] Exploring Operation: 8/4=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 8/4=2 Current State: 29:[27, 2], Operations: ['80-72=8', '8/4=2'] Exploring Operation: 27+2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 70, 68, 6, 96 ]
88
[ "70-68=2", "96-6=90", "90-2=88" ]
Current State: 88:[70, 68, 6, 96], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [6, 96, 2] Generated Node #2: [6, 96, 2] from Operation: 70-68=2 Current State: 88:[6, 96, 2], Operations: ['70-68=2'] Exploring Operation: 96-6=90, Resulting Numbers: [2, 90] Generated Node #3: [2, 90] from Operation: 96-6=90 Current State: 88:[2, 90], Operations: ['70-68=2', '96-6=90'] Exploring Operation: 90-2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 83, 31, 50, 38 ]
85
[ "50-31=19", "38/19=2", "83+2=85" ]
Current State: 85:[83, 31, 50, 38], Operations: [] Exploring Operation: 50-31=19, Resulting Numbers: [83, 38, 19] Generated Node #2: [83, 38, 19] from Operation: 50-31=19 Current State: 85:[83, 38, 19], Operations: ['50-31=19'] Exploring Operation: 38/19=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 38/19=2 Current State: 85:[83, 2], Operations: ['50-31=19', '38/19=2'] Exploring Operation: 83+2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 98, 61, 16, 97 ]
46
[ "98+61=159", "16+97=113", "159-113=46" ]
Current State: 46:[98, 61, 16, 97], Operations: [] Exploring Operation: 98+61=159, Resulting Numbers: [16, 97, 159] Generated Node #2: [16, 97, 159] from Operation: 98+61=159 Current State: 46:[16, 97, 159], Operations: ['98+61=159'] Exploring Operation: 16+97=113, Resulting Numbers: [159, 113] Generated Node #3: [159, 113] from Operation: 16+97=113 Current State: 46:[159, 113], Operations: ['98+61=159', '16+97=113'] Exploring Operation: 159-113=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 6, 72, 51, 69 ]
96
[ "6+72=78", "69-51=18", "78+18=96" ]
Current State: 96:[6, 72, 51, 69], Operations: [] Exploring Operation: 6+72=78, Resulting Numbers: [51, 69, 78] Generated Node #2: [51, 69, 78] from Operation: 6+72=78 Current State: 96:[51, 69, 78], Operations: ['6+72=78'] Exploring Operation: 69-51=18, Resulting Numbers: [78, 18] Generated Node #3: [78, 18] from Operation: 69-51=18 Current State: 96:[78, 18], Operations: ['6+72=78', '69-51=18'] Exploring Operation: 78+18=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 4, 32, 31, 11 ]
34
[ "32/4=8", "31+11=42", "42-8=34" ]
Current State: 34:[4, 32, 31, 11], Operations: [] Exploring Operation: 32/4=8, Resulting Numbers: [31, 11, 8] Generated Node #2: [31, 11, 8] from Operation: 32/4=8 Current State: 34:[31, 11, 8], Operations: ['32/4=8'] Exploring Operation: 31+11=42, Resulting Numbers: [8, 42] Generated Node #3: [8, 42] from Operation: 31+11=42 Current State: 34:[8, 42], Operations: ['32/4=8', '31+11=42'] Exploring Operation: 42-8=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 11, 56, 62, 44 ]
27
[ "56-11=45", "62-44=18", "45-18=27" ]
Current State: 27:[11, 56, 62, 44], Operations: [] Exploring Operation: 56-11=45, Resulting Numbers: [62, 44, 45] Generated Node #2: [62, 44, 45] from Operation: 56-11=45 Current State: 27:[62, 44, 45], Operations: ['56-11=45'] Exploring Operation: 62-44=18, Resulting Numbers: [45, 18] Generated Node #3: [45, 18] from Operation: 62-44=18 Current State: 27:[45, 18], Operations: ['56-11=45', '62-44=18'] Exploring Operation: 45-18=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 27, 76, 90, 75 ]
64
[ "76-27=49", "90-75=15", "49+15=64" ]
Current State: 64:[27, 76, 90, 75], Operations: [] Exploring Operation: 76-27=49, Resulting Numbers: [90, 75, 49] Generated Node #2: [90, 75, 49] from Operation: 76-27=49 Current State: 64:[90, 75, 49], Operations: ['76-27=49'] Exploring Operation: 90-75=15, Resulting Numbers: [49, 15] Generated Node #3: [49, 15] from Operation: 90-75=15 Current State: 64:[49, 15], Operations: ['76-27=49', '90-75=15'] Exploring Operation: 49+15=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 50, 62, 25, 19 ]
83
[ "50/25=2", "62+19=81", "2+81=83" ]
Current State: 83:[50, 62, 25, 19], Operations: [] Exploring Operation: 50/25=2, Resulting Numbers: [62, 19, 2] Generated Node #2: [62, 19, 2] from Operation: 50/25=2 Current State: 83:[62, 19, 2], Operations: ['50/25=2'] Exploring Operation: 62+19=81, Resulting Numbers: [2, 81] Generated Node #3: [2, 81] from Operation: 62+19=81 Current State: 83:[2, 81], Operations: ['50/25=2', '62+19=81'] Exploring Operation: 2+81=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 19, 63, 67, 72 ]
77
[ "19+63=82", "72-67=5", "82-5=77" ]
Current State: 77:[19, 63, 67, 72], Operations: [] Exploring Operation: 19+63=82, Resulting Numbers: [67, 72, 82] Generated Node #2: [67, 72, 82] from Operation: 19+63=82 Current State: 77:[67, 72, 82], Operations: ['19+63=82'] Exploring Operation: 72-67=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 72-67=5 Current State: 77:[82, 5], Operations: ['19+63=82', '72-67=5'] Exploring Operation: 82-5=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 31, 44, 36, 40 ]
76
[ "31*44=1364", "36*40=1440", "1440-1364=76" ]
Current State: 76:[31, 44, 36, 40], Operations: [] Exploring Operation: 31*44=1364, Resulting Numbers: [36, 40, 1364] Generated Node #2: [36, 40, 1364] from Operation: 31*44=1364 Current State: 76:[36, 40, 1364], Operations: ['31*44=1364'] Exploring Operation: 36*40=1440, Resulting Numbers: [1364, 1440] Generated Node #3: [1364, 1440] from Operation: 36*40=1440 Current State: 76:[1364, 1440], Operations: ['31*44=1364', '36*40=1440'] Exploring Operation: 1440-1364=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 9, 6, 5, 37 ]
38
[ "9+6=15", "5*15=75", "75-37=38" ]
Current State: 38:[9, 6, 5, 37], Operations: [] Exploring Operation: 9+6=15, Resulting Numbers: [5, 37, 15] Generated Node #2: [5, 37, 15] from Operation: 9+6=15 Current State: 38:[5, 37, 15], Operations: ['9+6=15'] Exploring Operation: 5*15=75, Resulting Numbers: [37, 75] Generated Node #3: [37, 75] from Operation: 5*15=75 Current State: 38:[37, 75], Operations: ['9+6=15', '5*15=75'] Exploring Operation: 75-37=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 90, 45, 90, 97 ]
95
[ "90-45=45", "90/45=2", "97-2=95" ]
Current State: 95:[90, 45, 90, 97], Operations: [] Exploring Operation: 90-45=45, Resulting Numbers: [97, 45] Generated Node #2: [97, 45] from Operation: 90-45=45 Current State: 95:[97, 45], Operations: ['90-45=45'] Exploring Operation: 90/45=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 90/45=2 Current State: 95:[97, 2], Operations: ['90-45=45', '90/45=2'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 97, 96, 19, 76 ]
48
[ "97-19=78", "78-76=2", "96/2=48" ]
Current State: 48:[97, 96, 19, 76], Operations: [] Exploring Operation: 97-19=78, Resulting Numbers: [96, 76, 78] Generated Node #2: [96, 76, 78] from Operation: 97-19=78 Current State: 48:[96, 76, 78], Operations: ['97-19=78'] Exploring Operation: 78-76=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 78-76=2 Current State: 48:[96, 2], Operations: ['97-19=78', '78-76=2'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 27, 76, 4, 9 ]
83
[ "27/9=3", "76+4=80", "3+80=83" ]
Current State: 83:[27, 76, 4, 9], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [76, 4, 3] Generated Node #2: [76, 4, 3] from Operation: 27/9=3 Current State: 83:[76, 4, 3], Operations: ['27/9=3'] Exploring Operation: 76+4=80, Resulting Numbers: [3, 80] Generated Node #3: [3, 80] from Operation: 76+4=80 Current State: 83:[3, 80], Operations: ['27/9=3', '76+4=80'] Exploring Operation: 3+80=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 40, 13, 15, 72 ]
56
[ "40+72=112", "15-13=2", "112/2=56" ]
Current State: 56:[40, 13, 15, 72], Operations: [] Exploring Operation: 40+72=112, Resulting Numbers: [13, 15, 112] Generated Node #2: [13, 15, 112] from Operation: 40+72=112 Current State: 56:[13, 15, 112], Operations: ['40+72=112'] Exploring Operation: 15-13=2, Resulting Numbers: [112, 2] Generated Node #3: [112, 2] from Operation: 15-13=2 Current State: 56:[112, 2], Operations: ['40+72=112', '15-13=2'] Exploring Operation: 112/2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 33, 74, 42 ]
76
[ "33+42=75", "2*75=150", "150-74=76" ]
Current State: 76:[2, 33, 74, 42], Operations: [] Exploring Operation: 33+42=75, Resulting Numbers: [2, 74, 75] Generated Node #2: [2, 74, 75] from Operation: 33+42=75 Current State: 76:[2, 74, 75], Operations: ['33+42=75'] Exploring Operation: 2*75=150, Resulting Numbers: [74, 150] Generated Node #3: [74, 150] from Operation: 2*75=150 Current State: 76:[74, 150], Operations: ['33+42=75', '2*75=150'] Exploring Operation: 150-74=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 58, 27, 32, 40 ]
77
[ "58+27=85", "40-32=8", "85-8=77" ]
Current State: 77:[58, 27, 32, 40], Operations: [] Exploring Operation: 58+27=85, Resulting Numbers: [32, 40, 85] Generated Node #2: [32, 40, 85] from Operation: 58+27=85 Current State: 77:[32, 40, 85], Operations: ['58+27=85'] Exploring Operation: 40-32=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 40-32=8 Current State: 77:[85, 8], Operations: ['58+27=85', '40-32=8'] Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 21, 84, 23, 76 ]
46
[ "23-21=2", "76/2=38", "84-38=46" ]
Current State: 46:[21, 84, 23, 76], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [84, 76, 2] Generated Node #2: [84, 76, 2] from Operation: 23-21=2 Current State: 46:[84, 76, 2], Operations: ['23-21=2'] Exploring Operation: 76/2=38, Resulting Numbers: [84, 38] Generated Node #3: [84, 38] from Operation: 76/2=38 Current State: 46:[84, 38], Operations: ['23-21=2', '76/2=38'] Exploring Operation: 84-38=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 5, 8, 54, 55 ]
41
[ "5*8=40", "55-54=1", "40+1=41" ]
Current State: 41:[5, 8, 54, 55], Operations: [] Exploring Operation: 5*8=40, Resulting Numbers: [54, 55, 40] Generated Node #2: [54, 55, 40] from Operation: 5*8=40 Current State: 41:[54, 55, 40], Operations: ['5*8=40'] Exploring Operation: 55-54=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 55-54=1 Current State: 41:[40, 1], Operations: ['5*8=40', '55-54=1'] Exploring Operation: 40+1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 95, 18, 51, 22 ]
48
[ "95-18=77", "51-22=29", "77-29=48" ]
Current State: 48:[95, 18, 51, 22], Operations: [] Exploring Operation: 95-18=77, Resulting Numbers: [51, 22, 77] Generated Node #2: [51, 22, 77] from Operation: 95-18=77 Current State: 48:[51, 22, 77], Operations: ['95-18=77'] Exploring Operation: 51-22=29, Resulting Numbers: [77, 29] Generated Node #3: [77, 29] from Operation: 51-22=29 Current State: 48:[77, 29], Operations: ['95-18=77', '51-22=29'] Exploring Operation: 77-29=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 26, 60, 72, 68 ]
82
[ "26+60=86", "72-68=4", "86-4=82" ]
Current State: 82:[26, 60, 72, 68], Operations: [] Exploring Operation: 26+60=86, Resulting Numbers: [72, 68, 86] Generated Node #2: [72, 68, 86] from Operation: 26+60=86 Current State: 82:[72, 68, 86], Operations: ['26+60=86'] Exploring Operation: 72-68=4, Resulting Numbers: [86, 4] Generated Node #3: [86, 4] from Operation: 72-68=4 Current State: 82:[86, 4], Operations: ['26+60=86', '72-68=4'] Exploring Operation: 86-4=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 71, 2, 1, 27 ]
98
[ "71+27=98", "2-1=1", "98*1=98" ]
Current State: 98:[71, 2, 1, 27], Operations: [] Exploring Operation: 71+27=98, Resulting Numbers: [2, 1, 98] Generated Node #2: [2, 1, 98] from Operation: 71+27=98 Current State: 98:[2, 1, 98], Operations: ['71+27=98'] Exploring Operation: 2-1=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 2-1=1 Current State: 98:[98, 1], Operations: ['71+27=98', '2-1=1'] Exploring Operation: 98*1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 46, 40, 28, 2 ]
84
[ "46-40=6", "28/2=14", "6*14=84" ]
Current State: 84:[46, 40, 28, 2], Operations: [] Exploring Operation: 46-40=6, Resulting Numbers: [28, 2, 6] Generated Node #2: [28, 2, 6] from Operation: 46-40=6 Current State: 84:[28, 2, 6], Operations: ['46-40=6'] Exploring Operation: 28/2=14, Resulting Numbers: [6, 14] Generated Node #3: [6, 14] from Operation: 28/2=14 Current State: 84:[6, 14], Operations: ['46-40=6', '28/2=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 64, 19, 16, 17 ]
78
[ "64-19=45", "16+17=33", "45+33=78" ]
Current State: 78:[64, 19, 16, 17], Operations: [] Exploring Operation: 64-19=45, Resulting Numbers: [16, 17, 45] Generated Node #2: [16, 17, 45] from Operation: 64-19=45 Current State: 78:[16, 17, 45], Operations: ['64-19=45'] Exploring Operation: 16+17=33, Resulting Numbers: [45, 33] Generated Node #3: [45, 33] from Operation: 16+17=33 Current State: 78:[45, 33], Operations: ['64-19=45', '16+17=33'] Exploring Operation: 45+33=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4