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
[ 22, 97, 29, 5 ]
51
[ "97-22=75", "29-5=24", "75-24=51" ]
Current State: 51:[22, 97, 29, 5], Operations: [] Exploring Operation: 97-22=75, Resulting Numbers: [29, 5, 75] Generated Node #2: [29, 5, 75] from Operation: 97-22=75 Current State: 51:[29, 5, 75], Operations: ['97-22=75'] Exploring Operation: 29-5=24, Resulting Numbers: [75, 24] Generated Node #3: [75, 24] from Operation: 29-5=24 Current State: 51:[75, 24], Operations: ['97-22=75', '29-5=24'] Exploring Operation: 75-24=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 23, 75, 10, 60 ]
58
[ "75-23=52", "60/10=6", "52+6=58" ]
Current State: 58:[23, 75, 10, 60], Operations: [] Exploring Operation: 75-23=52, Resulting Numbers: [10, 60, 52] Generated Node #2: [10, 60, 52] from Operation: 75-23=52 Current State: 58:[10, 60, 52], Operations: ['75-23=52'] Exploring Operation: 60/10=6, Resulting Numbers: [52, 6] Generated Node #3: [52, 6] from Operation: 60/10=6 Current State: 58:[52, 6], Operations: ['75-23=52', '60/10=6'] Exploring Operation: 52+6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 38, 29, 62, 59 ]
49
[ "62-59=3", "29*3=87", "87-38=49" ]
Current State: 49:[38, 29, 62, 59], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [38, 29, 3] Generated Node #2: [38, 29, 3] from Operation: 62-59=3 Current State: 49:[38, 29, 3], Operations: ['62-59=3'] Exploring Operation: 29*3=87, Resulting Numbers: [38, 87] Generated Node #3: [38, 87] from Operation: 29*3=87 Current State: 49:[38, 87], Operations: ['62-59=3', '29*3=87'] Exploring Operation: 87-38=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 96, 33, 30, 36 ]
31
[ "96-36=60", "60/30=2", "33-2=31" ]
Current State: 31:[96, 33, 30, 36], Operations: [] Exploring Operation: 96-36=60, Resulting Numbers: [33, 30, 60] Generated Node #2: [33, 30, 60] from Operation: 96-36=60 Current State: 31:[33, 30, 60], Operations: ['96-36=60'] Exploring Operation: 60/30=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 60/30=2 Current State: 31:[33, 2], Operations: ['96-36=60', '60/30=2'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 10, 5, 28, 46 ]
94
[ "10-5=5", "28*5=140", "140-46=94" ]
Current State: 94:[10, 5, 28, 46], Operations: [] Exploring Operation: 10-5=5, Resulting Numbers: [28, 46, 5] Generated Node #2: [28, 46, 5] from Operation: 10-5=5 Current State: 94:[28, 46, 5], Operations: ['10-5=5'] Exploring Operation: 28*5=140, Resulting Numbers: [46, 140] Generated Node #3: [46, 140] from Operation: 28*5=140 Current State: 94:[46, 140], Operations: ['10-5=5', '28*5=140'] Exploring Operation: 140-46=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 56, 23, 39, 62 ]
55
[ "23+39=62", "62/62=1", "56-1=55" ]
Current State: 55:[56, 23, 39, 62], Operations: [] Exploring Operation: 23+39=62, Resulting Numbers: [56, 62, 62] Generated Node #2: [56, 62, 62] from Operation: 23+39=62 Current State: 55:[56, 62, 62], Operations: ['23+39=62'] Exploring Operation: 62/62=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 62/62=1 Current State: 55:[56, 1], Operations: ['23+39=62', '62/62=1'] Exploring Operation: 56-1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 10, 9, 38, 51 ]
89
[ "10-9=1", "38+51=89", "1*89=89" ]
Current State: 89:[10, 9, 38, 51], Operations: [] Exploring Operation: 10-9=1, Resulting Numbers: [38, 51, 1] Generated Node #2: [38, 51, 1] from Operation: 10-9=1 Current State: 89:[38, 51, 1], Operations: ['10-9=1'] Exploring Operation: 38+51=89, Resulting Numbers: [1, 89] Generated Node #3: [1, 89] from Operation: 38+51=89 Current State: 89:[1, 89], Operations: ['10-9=1', '38+51=89'] Exploring Operation: 1*89=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 13, 41, 23, 18 ]
95
[ "13+41=54", "23+18=41", "54+41=95" ]
Current State: 95:[13, 41, 23, 18], Operations: [] Exploring Operation: 13+41=54, Resulting Numbers: [23, 18, 54] Generated Node #2: [23, 18, 54] from Operation: 13+41=54 Current State: 95:[23, 18, 54], Operations: ['13+41=54'] Exploring Operation: 23+18=41, Resulting Numbers: [54, 41] Generated Node #3: [54, 41] from Operation: 23+18=41 Current State: 95:[54, 41], Operations: ['13+41=54', '23+18=41'] Exploring Operation: 54+41=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 42, 82, 69, 48 ]
61
[ "82-42=40", "69-48=21", "40+21=61" ]
Current State: 61:[42, 82, 69, 48], Operations: [] Exploring Operation: 82-42=40, Resulting Numbers: [69, 48, 40] Generated Node #2: [69, 48, 40] from Operation: 82-42=40 Current State: 61:[69, 48, 40], Operations: ['82-42=40'] Exploring Operation: 69-48=21, Resulting Numbers: [40, 21] Generated Node #3: [40, 21] from Operation: 69-48=21 Current State: 61:[40, 21], Operations: ['82-42=40', '69-48=21'] Exploring Operation: 40+21=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 62, 17, 98, 10 ]
48
[ "17-10=7", "98/7=14", "62-14=48" ]
Current State: 48:[62, 17, 98, 10], Operations: [] Exploring Operation: 17-10=7, Resulting Numbers: [62, 98, 7] Generated Node #2: [62, 98, 7] from Operation: 17-10=7 Current State: 48:[62, 98, 7], Operations: ['17-10=7'] Exploring Operation: 98/7=14, Resulting Numbers: [62, 14] Generated Node #3: [62, 14] from Operation: 98/7=14 Current State: 48:[62, 14], Operations: ['17-10=7', '98/7=14'] Exploring Operation: 62-14=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 13, 19, 68, 4 ]
49
[ "13+19=32", "68/4=17", "32+17=49" ]
Current State: 49:[13, 19, 68, 4], Operations: [] Exploring Operation: 13+19=32, Resulting Numbers: [68, 4, 32] Generated Node #2: [68, 4, 32] from Operation: 13+19=32 Current State: 49:[68, 4, 32], Operations: ['13+19=32'] Exploring Operation: 68/4=17, Resulting Numbers: [32, 17] Generated Node #3: [32, 17] from Operation: 68/4=17 Current State: 49:[32, 17], Operations: ['13+19=32', '68/4=17'] Exploring Operation: 32+17=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 56, 40, 62, 68 ]
60
[ "68-40=28", "56/28=2", "62-2=60" ]
Current State: 60:[56, 40, 62, 68], Operations: [] Exploring Operation: 68-40=28, Resulting Numbers: [56, 62, 28] Generated Node #2: [56, 62, 28] from Operation: 68-40=28 Current State: 60:[56, 62, 28], Operations: ['68-40=28'] Exploring Operation: 56/28=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 56/28=2 Current State: 60:[62, 2], Operations: ['68-40=28', '56/28=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 89, 83, 33, 55 ]
83
[ "89-33=56", "56-55=1", "83*1=83" ]
Current State: 83:[89, 83, 33, 55], Operations: [] Exploring Operation: 89-33=56, Resulting Numbers: [83, 55, 56] Generated Node #2: [83, 55, 56] from Operation: 89-33=56 Current State: 83:[83, 55, 56], Operations: ['89-33=56'] Exploring Operation: 56-55=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 56-55=1 Current State: 83:[83, 1], Operations: ['89-33=56', '56-55=1'] Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 18, 21, 60, 3 ]
21
[ "21-18=3", "60+3=63", "63/3=21" ]
Current State: 21:[18, 21, 60, 3], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [60, 3, 3] Generated Node #2: [60, 3, 3] from Operation: 21-18=3 Current State: 21:[60, 3, 3], Operations: ['21-18=3'] Exploring Operation: 60+3=63, Resulting Numbers: [63] 63,21 equal: Goal Reached Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 78, 12, 9, 2 ]
54
[ "78+12=90", "90/2=45", "9+45=54" ]
Current State: 54:[78, 12, 9, 2], Operations: [] Exploring Operation: 78+12=90, Resulting Numbers: [9, 2, 90] Generated Node #2: [9, 2, 90] from Operation: 78+12=90 Current State: 54:[9, 2, 90], Operations: ['78+12=90'] Exploring Operation: 90/2=45, Resulting Numbers: [9, 45] Generated Node #3: [9, 45] from Operation: 90/2=45 Current State: 54:[9, 45], Operations: ['78+12=90', '90/2=45'] Exploring Operation: 9+45=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 31, 85, 62, 71 ]
78
[ "62/31=2", "85+71=156", "156/2=78" ]
Current State: 78:[31, 85, 62, 71], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [85, 71, 2] Generated Node #2: [85, 71, 2] from Operation: 62/31=2 Current State: 78:[85, 71, 2], Operations: ['62/31=2'] Exploring Operation: 85+71=156, Resulting Numbers: [2, 156] Generated Node #3: [2, 156] from Operation: 85+71=156 Current State: 78:[2, 156], Operations: ['62/31=2', '85+71=156'] Exploring Operation: 156/2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 31, 78, 90, 1 ]
42
[ "78-31=47", "90-1=89", "89-47=42" ]
Current State: 42:[31, 78, 90, 1], Operations: [] Exploring Operation: 78-31=47, Resulting Numbers: [90, 1, 47] Generated Node #2: [90, 1, 47] from Operation: 78-31=47 Current State: 42:[90, 1, 47], Operations: ['78-31=47'] Exploring Operation: 90-1=89, Resulting Numbers: [47, 89] Generated Node #3: [47, 89] from Operation: 90-1=89 Current State: 42:[47, 89], Operations: ['78-31=47', '90-1=89'] Exploring Operation: 89-47=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 76, 9, 38, 10 ]
24
[ "76+38=114", "9*10=90", "114-90=24" ]
Current State: 24:[76, 9, 38, 10], Operations: [] Exploring Operation: 76+38=114, Resulting Numbers: [9, 10, 114] Generated Node #2: [9, 10, 114] from Operation: 76+38=114 Current State: 24:[9, 10, 114], Operations: ['76+38=114'] Exploring Operation: 9*10=90, Resulting Numbers: [114, 90] Generated Node #3: [114, 90] from Operation: 9*10=90 Current State: 24:[114, 90], Operations: ['76+38=114', '9*10=90'] Exploring Operation: 114-90=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 28, 81, 30, 40 ]
80
[ "81*40=3240", "3240/30=108", "108-28=80" ]
Current State: 80:[28, 81, 30, 40], Operations: [] Exploring Operation: 81*40=3240, Resulting Numbers: [28, 30, 3240] Generated Node #2: [28, 30, 3240] from Operation: 81*40=3240 Current State: 80:[28, 30, 3240], Operations: ['81*40=3240'] Exploring Operation: 3240/30=108, Resulting Numbers: [28, 108] Generated Node #3: [28, 108] from Operation: 3240/30=108 Current State: 80:[28, 108], Operations: ['81*40=3240', '3240/30=108'] Exploring Operation: 108-28=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 19, 84, 17, 83 ]
37
[ "19+84=103", "83-17=66", "103-66=37" ]
Current State: 37:[19, 84, 17, 83], Operations: [] Exploring Operation: 19+84=103, Resulting Numbers: [17, 83, 103] Generated Node #2: [17, 83, 103] from Operation: 19+84=103 Current State: 37:[17, 83, 103], Operations: ['19+84=103'] Exploring Operation: 83-17=66, Resulting Numbers: [103, 66] Generated Node #3: [103, 66] from Operation: 83-17=66 Current State: 37:[103, 66], Operations: ['19+84=103', '83-17=66'] Exploring Operation: 103-66=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 54, 29, 95, 37 ]
56
[ "95-37=58", "58/29=2", "54+2=56" ]
Current State: 56:[54, 29, 95, 37], Operations: [] Exploring Operation: 95-37=58, Resulting Numbers: [54, 29, 58] Generated Node #2: [54, 29, 58] from Operation: 95-37=58 Current State: 56:[54, 29, 58], Operations: ['95-37=58'] Exploring Operation: 58/29=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 58/29=2 Current State: 56:[54, 2], Operations: ['95-37=58', '58/29=2'] Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 35, 50, 43, 72 ]
77
[ "50-43=7", "35/7=5", "72+5=77" ]
Current State: 77:[35, 50, 43, 72], Operations: [] Exploring Operation: 50-43=7, Resulting Numbers: [35, 72, 7] Generated Node #2: [35, 72, 7] from Operation: 50-43=7 Current State: 77:[35, 72, 7], Operations: ['50-43=7'] Exploring Operation: 35/7=5, Resulting Numbers: [72, 5] Generated Node #3: [72, 5] from Operation: 35/7=5 Current State: 77:[72, 5], Operations: ['50-43=7', '35/7=5'] Exploring Operation: 72+5=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 11, 50, 84, 70 ]
64
[ "84+70=154", "154/11=14", "50+14=64" ]
Current State: 64:[11, 50, 84, 70], Operations: [] Exploring Operation: 84+70=154, Resulting Numbers: [11, 50, 154] Generated Node #2: [11, 50, 154] from Operation: 84+70=154 Current State: 64:[11, 50, 154], Operations: ['84+70=154'] Exploring Operation: 154/11=14, Resulting Numbers: [50, 14] Generated Node #3: [50, 14] from Operation: 154/11=14 Current State: 64:[50, 14], Operations: ['84+70=154', '154/11=14'] Exploring Operation: 50+14=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 17, 36, 72, 6 ]
13
[ "17+36=53", "72-6=66", "66-53=13" ]
Current State: 13:[17, 36, 72, 6], Operations: [] Exploring Operation: 17+36=53, Resulting Numbers: [72, 6, 53] Generated Node #2: [72, 6, 53] from Operation: 17+36=53 Current State: 13:[72, 6, 53], Operations: ['17+36=53'] Exploring Operation: 72-6=66, Resulting Numbers: [53, 66] Generated Node #3: [53, 66] from Operation: 72-6=66 Current State: 13:[53, 66], Operations: ['17+36=53', '72-6=66'] Exploring Operation: 66-53=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 9, 39, 42, 57 ]
10
[ "42-39=3", "57/3=19", "19-9=10" ]
Current State: 10:[9, 39, 42, 57], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [9, 57, 3] Generated Node #2: [9, 57, 3] from Operation: 42-39=3 Current State: 10:[9, 57, 3], Operations: ['42-39=3'] Exploring Operation: 57/3=19, Resulting Numbers: [9, 19] Generated Node #3: [9, 19] from Operation: 57/3=19 Current State: 10:[9, 19], Operations: ['42-39=3', '57/3=19'] Exploring Operation: 19-9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 64, 35, 17, 32 ]
20
[ "64-35=29", "17+32=49", "49-29=20" ]
Current State: 20:[64, 35, 17, 32], Operations: [] Exploring Operation: 64-35=29, Resulting Numbers: [17, 32, 29] Generated Node #2: [17, 32, 29] from Operation: 64-35=29 Current State: 20:[17, 32, 29], Operations: ['64-35=29'] Exploring Operation: 17+32=49, Resulting Numbers: [29, 49] Generated Node #3: [29, 49] from Operation: 17+32=49 Current State: 20:[29, 49], Operations: ['64-35=29', '17+32=49'] Exploring Operation: 49-29=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 59, 63, 30, 79 ]
41
[ "63-59=4", "30*4=120", "120-79=41" ]
Current State: 41:[59, 63, 30, 79], Operations: [] Exploring Operation: 63-59=4, Resulting Numbers: [30, 79, 4] Generated Node #2: [30, 79, 4] from Operation: 63-59=4 Current State: 41:[30, 79, 4], Operations: ['63-59=4'] Exploring Operation: 30*4=120, Resulting Numbers: [79, 120] Generated Node #3: [79, 120] from Operation: 30*4=120 Current State: 41:[79, 120], Operations: ['63-59=4', '30*4=120'] Exploring Operation: 120-79=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 13, 6, 42, 2 ]
83
[ "6+42=48", "2*48=96", "96-13=83" ]
Current State: 83:[13, 6, 42, 2], Operations: [] Exploring Operation: 6+42=48, Resulting Numbers: [13, 2, 48] Generated Node #2: [13, 2, 48] from Operation: 6+42=48 Current State: 83:[13, 2, 48], Operations: ['6+42=48'] Exploring Operation: 2*48=96, Resulting Numbers: [13, 96] Generated Node #3: [13, 96] from Operation: 2*48=96 Current State: 83:[13, 96], Operations: ['6+42=48', '2*48=96'] Exploring Operation: 96-13=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 47, 44, 71, 40 ]
49
[ "47-44=3", "40*3=120", "120-71=49" ]
Current State: 49:[47, 44, 71, 40], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [71, 40, 3] Generated Node #2: [71, 40, 3] from Operation: 47-44=3 Current State: 49:[71, 40, 3], Operations: ['47-44=3'] Exploring Operation: 40*3=120, Resulting Numbers: [71, 120] Generated Node #3: [71, 120] from Operation: 40*3=120 Current State: 49:[71, 120], Operations: ['47-44=3', '40*3=120'] Exploring Operation: 120-71=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 28, 23, 70, 32 ]
43
[ "28-23=5", "70-32=38", "5+38=43" ]
Current State: 43:[28, 23, 70, 32], Operations: [] Exploring Operation: 28-23=5, Resulting Numbers: [70, 32, 5] Generated Node #2: [70, 32, 5] from Operation: 28-23=5 Current State: 43:[70, 32, 5], Operations: ['28-23=5'] Exploring Operation: 70-32=38, Resulting Numbers: [5, 38] Generated Node #3: [5, 38] from Operation: 70-32=38 Current State: 43:[5, 38], Operations: ['28-23=5', '70-32=38'] Exploring Operation: 5+38=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 44, 46, 73, 65 ]
41
[ "73+65=138", "138/46=3", "44-3=41" ]
Current State: 41:[44, 46, 73, 65], Operations: [] Exploring Operation: 73+65=138, Resulting Numbers: [44, 46, 138] Generated Node #2: [44, 46, 138] from Operation: 73+65=138 Current State: 41:[44, 46, 138], Operations: ['73+65=138'] Exploring Operation: 138/46=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 138/46=3 Current State: 41:[44, 3], Operations: ['73+65=138', '138/46=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 82, 41, 96, 22 ]
70
[ "82/41=2", "96/2=48", "22+48=70" ]
Current State: 70:[82, 41, 96, 22], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [96, 22, 2] Generated Node #2: [96, 22, 2] from Operation: 82/41=2 Current State: 70:[96, 22, 2], Operations: ['82/41=2'] Exploring Operation: 96/2=48, Resulting Numbers: [22, 48] Generated Node #3: [22, 48] from Operation: 96/2=48 Current State: 70:[22, 48], Operations: ['82/41=2', '96/2=48'] Exploring Operation: 22+48=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 84, 95, 6, 97 ]
88
[ "84+95=179", "97-6=91", "179-91=88" ]
Current State: 88:[84, 95, 6, 97], Operations: [] Exploring Operation: 84+95=179, Resulting Numbers: [6, 97, 179] Generated Node #2: [6, 97, 179] from Operation: 84+95=179 Current State: 88:[6, 97, 179], Operations: ['84+95=179'] Exploring Operation: 97-6=91, Resulting Numbers: [179, 91] Generated Node #3: [179, 91] from Operation: 97-6=91 Current State: 88:[179, 91], Operations: ['84+95=179', '97-6=91'] Exploring Operation: 179-91=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 50, 75, 6, 92 ]
73
[ "75-50=25", "6+92=98", "98-25=73" ]
Current State: 73:[50, 75, 6, 92], Operations: [] Exploring Operation: 75-50=25, Resulting Numbers: [6, 92, 25] Generated Node #2: [6, 92, 25] from Operation: 75-50=25 Current State: 73:[6, 92, 25], Operations: ['75-50=25'] Exploring Operation: 6+92=98, Resulting Numbers: [25, 98] Generated Node #3: [25, 98] from Operation: 6+92=98 Current State: 73:[25, 98], Operations: ['75-50=25', '6+92=98'] Exploring Operation: 98-25=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 49, 35, 65, 6 ]
85
[ "49-35=14", "65+6=71", "14+71=85" ]
Current State: 85:[49, 35, 65, 6], Operations: [] Exploring Operation: 49-35=14, Resulting Numbers: [65, 6, 14] Generated Node #2: [65, 6, 14] from Operation: 49-35=14 Current State: 85:[65, 6, 14], Operations: ['49-35=14'] Exploring Operation: 65+6=71, Resulting Numbers: [14, 71] Generated Node #3: [14, 71] from Operation: 65+6=71 Current State: 85:[14, 71], Operations: ['49-35=14', '65+6=71'] Exploring Operation: 14+71=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 34, 72, 69, 93 ]
82
[ "34+72=106", "93-69=24", "106-24=82" ]
Current State: 82:[34, 72, 69, 93], Operations: [] Exploring Operation: 34+72=106, Resulting Numbers: [69, 93, 106] Generated Node #2: [69, 93, 106] from Operation: 34+72=106 Current State: 82:[69, 93, 106], Operations: ['34+72=106'] Exploring Operation: 93-69=24, Resulting Numbers: [106, 24] Generated Node #3: [106, 24] from Operation: 93-69=24 Current State: 82:[106, 24], Operations: ['34+72=106', '93-69=24'] Exploring Operation: 106-24=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 10, 82, 68, 79 ]
61
[ "82-10=72", "79-68=11", "72-11=61" ]
Current State: 61:[10, 82, 68, 79], Operations: [] Exploring Operation: 82-10=72, Resulting Numbers: [68, 79, 72] Generated Node #2: [68, 79, 72] from Operation: 82-10=72 Current State: 61:[68, 79, 72], Operations: ['82-10=72'] Exploring Operation: 79-68=11, Resulting Numbers: [72, 11] Generated Node #3: [72, 11] from Operation: 79-68=11 Current State: 61:[72, 11], Operations: ['82-10=72', '79-68=11'] Exploring Operation: 72-11=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 2, 27, 83, 9 ]
20
[ "2*27=54", "83-9=74", "74-54=20" ]
Current State: 20:[2, 27, 83, 9], Operations: [] Exploring Operation: 2*27=54, Resulting Numbers: [83, 9, 54] Generated Node #2: [83, 9, 54] from Operation: 2*27=54 Current State: 20:[83, 9, 54], Operations: ['2*27=54'] Exploring Operation: 83-9=74, Resulting Numbers: [54, 74] Generated Node #3: [54, 74] from Operation: 83-9=74 Current State: 20:[54, 74], Operations: ['2*27=54', '83-9=74'] Exploring Operation: 74-54=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 63, 94, 60, 90 ]
52
[ "63*60=3780", "3780/90=42", "94-42=52" ]
Current State: 52:[63, 94, 60, 90], Operations: [] Exploring Operation: 63*60=3780, Resulting Numbers: [94, 90, 3780] Generated Node #2: [94, 90, 3780] from Operation: 63*60=3780 Current State: 52:[94, 90, 3780], Operations: ['63*60=3780'] Exploring Operation: 3780/90=42, Resulting Numbers: [94, 42] Generated Node #3: [94, 42] from Operation: 3780/90=42 Current State: 52:[94, 42], Operations: ['63*60=3780', '3780/90=42'] Exploring Operation: 94-42=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 96, 76, 30, 58 ]
84
[ "96+76=172", "30+58=88", "172-88=84" ]
Current State: 84:[96, 76, 30, 58], Operations: [] Exploring Operation: 96+76=172, Resulting Numbers: [30, 58, 172] Generated Node #2: [30, 58, 172] from Operation: 96+76=172 Current State: 84:[30, 58, 172], Operations: ['96+76=172'] Exploring Operation: 30+58=88, Resulting Numbers: [172, 88] Generated Node #3: [172, 88] from Operation: 30+58=88 Current State: 84:[172, 88], Operations: ['96+76=172', '30+58=88'] Exploring Operation: 172-88=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 25, 2, 24, 11 ]
71
[ "25+24=49", "2*11=22", "49+22=71" ]
Current State: 71:[25, 2, 24, 11], Operations: [] Exploring Operation: 25+24=49, Resulting Numbers: [2, 11, 49] Generated Node #2: [2, 11, 49] from Operation: 25+24=49 Current State: 71:[2, 11, 49], Operations: ['25+24=49'] Exploring Operation: 2*11=22, Resulting Numbers: [49, 22] Generated Node #3: [49, 22] from Operation: 2*11=22 Current State: 71:[49, 22], Operations: ['25+24=49', '2*11=22'] Exploring Operation: 49+22=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 58, 22, 4, 5 ]
81
[ "58+22=80", "5-4=1", "80+1=81" ]
Current State: 81:[58, 22, 4, 5], Operations: [] Exploring Operation: 58+22=80, Resulting Numbers: [4, 5, 80] Generated Node #2: [4, 5, 80] from Operation: 58+22=80 Current State: 81:[4, 5, 80], Operations: ['58+22=80'] Exploring Operation: 5-4=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 5-4=1 Current State: 81:[80, 1], Operations: ['58+22=80', '5-4=1'] Exploring Operation: 80+1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 2, 70, 64, 22 ]
78
[ "70+64=134", "22+134=156", "156/2=78" ]
Current State: 78:[2, 70, 64, 22], Operations: [] Exploring Operation: 70+64=134, Resulting Numbers: [2, 22, 134] Generated Node #2: [2, 22, 134] from Operation: 70+64=134 Current State: 78:[2, 22, 134], Operations: ['70+64=134'] Exploring Operation: 22+134=156, Resulting Numbers: [2, 156] Generated Node #3: [2, 156] from Operation: 22+134=156 Current State: 78:[2, 156], Operations: ['70+64=134', '22+134=156'] Exploring Operation: 156/2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 1, 70, 21 ]
91
[ "2-1=1", "70+21=91", "1*91=91" ]
Current State: 91:[2, 1, 70, 21], Operations: [] Exploring Operation: 2-1=1, Resulting Numbers: [70, 21, 1] Generated Node #2: [70, 21, 1] from Operation: 2-1=1 Current State: 91:[70, 21, 1], Operations: ['2-1=1'] Exploring Operation: 70+21=91, Resulting Numbers: [1, 91] Generated Node #3: [1, 91] from Operation: 70+21=91 Current State: 91:[1, 91], Operations: ['2-1=1', '70+21=91'] Exploring Operation: 1*91=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 21, 24, 72, 9 ]
75
[ "24-21=3", "9/3=3", "72+3=75" ]
Current State: 75:[21, 24, 72, 9], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [72, 9, 3] Generated Node #2: [72, 9, 3] from Operation: 24-21=3 Current State: 75:[72, 9, 3], Operations: ['24-21=3'] Exploring Operation: 9/3=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 9/3=3 Current State: 75:[72, 3], Operations: ['24-21=3', '9/3=3'] Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 23, 12, 47, 48 ]
66
[ "23+47=70", "48/12=4", "70-4=66" ]
Current State: 66:[23, 12, 47, 48], Operations: [] Exploring Operation: 23+47=70, Resulting Numbers: [12, 48, 70] Generated Node #2: [12, 48, 70] from Operation: 23+47=70 Current State: 66:[12, 48, 70], Operations: ['23+47=70'] Exploring Operation: 48/12=4, Resulting Numbers: [70, 4] Generated Node #3: [70, 4] from Operation: 48/12=4 Current State: 66:[70, 4], Operations: ['23+47=70', '48/12=4'] Exploring Operation: 70-4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 11, 73, 3, 19 ]
62
[ "11+73=84", "3+19=22", "84-22=62" ]
Current State: 62:[11, 73, 3, 19], Operations: [] Exploring Operation: 11+73=84, Resulting Numbers: [3, 19, 84] Generated Node #2: [3, 19, 84] from Operation: 11+73=84 Current State: 62:[3, 19, 84], Operations: ['11+73=84'] Exploring Operation: 3+19=22, Resulting Numbers: [84, 22] Generated Node #3: [84, 22] from Operation: 3+19=22 Current State: 62:[84, 22], Operations: ['11+73=84', '3+19=22'] Exploring Operation: 84-22=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 15, 67, 89, 93 ]
100
[ "15+67=82", "89+93=182", "182-82=100" ]
Current State: 100:[15, 67, 89, 93], Operations: [] Exploring Operation: 15+67=82, Resulting Numbers: [89, 93, 82] Generated Node #2: [89, 93, 82] from Operation: 15+67=82 Current State: 100:[89, 93, 82], Operations: ['15+67=82'] Exploring Operation: 89+93=182, Resulting Numbers: [82, 182] Generated Node #3: [82, 182] from Operation: 89+93=182 Current State: 100:[82, 182], Operations: ['15+67=82', '89+93=182'] Exploring Operation: 182-82=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 23, 71, 47, 67 ]
66
[ "71-23=48", "47+67=114", "114-48=66" ]
Current State: 66:[23, 71, 47, 67], Operations: [] Exploring Operation: 71-23=48, Resulting Numbers: [47, 67, 48] Generated Node #2: [47, 67, 48] from Operation: 71-23=48 Current State: 66:[47, 67, 48], Operations: ['71-23=48'] Exploring Operation: 47+67=114, Resulting Numbers: [48, 114] Generated Node #3: [48, 114] from Operation: 47+67=114 Current State: 66:[48, 114], Operations: ['71-23=48', '47+67=114'] Exploring Operation: 114-48=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 36, 23, 52, 9 ]
79
[ "36/9=4", "23+52=75", "4+75=79" ]
Current State: 79:[36, 23, 52, 9], Operations: [] Exploring Operation: 36/9=4, Resulting Numbers: [23, 52, 4] Generated Node #2: [23, 52, 4] from Operation: 36/9=4 Current State: 79:[23, 52, 4], Operations: ['36/9=4'] Exploring Operation: 23+52=75, Resulting Numbers: [4, 75] Generated Node #3: [4, 75] from Operation: 23+52=75 Current State: 79:[4, 75], Operations: ['36/9=4', '23+52=75'] Exploring Operation: 4+75=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 74, 31, 2, 13 ]
14
[ "31+13=44", "2*44=88", "88-74=14" ]
Current State: 14:[74, 31, 2, 13], Operations: [] Exploring Operation: 31+13=44, Resulting Numbers: [74, 2, 44] Generated Node #2: [74, 2, 44] from Operation: 31+13=44 Current State: 14:[74, 2, 44], Operations: ['31+13=44'] Exploring Operation: 2*44=88, Resulting Numbers: [74, 88] Generated Node #3: [74, 88] from Operation: 2*44=88 Current State: 14:[74, 88], Operations: ['31+13=44', '2*44=88'] Exploring Operation: 88-74=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 10, 78, 26, 99 ]
69
[ "10*78=780", "780/26=30", "99-30=69" ]
Current State: 69:[10, 78, 26, 99], Operations: [] Exploring Operation: 10*78=780, Resulting Numbers: [26, 99, 780] Generated Node #2: [26, 99, 780] from Operation: 10*78=780 Current State: 69:[26, 99, 780], Operations: ['10*78=780'] Exploring Operation: 780/26=30, Resulting Numbers: [99, 30] Generated Node #3: [99, 30] from Operation: 780/26=30 Current State: 69:[99, 30], Operations: ['10*78=780', '780/26=30'] Exploring Operation: 99-30=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 93, 24, 48, 79 ]
38
[ "93-24=69", "79-48=31", "69-31=38" ]
Current State: 38:[93, 24, 48, 79], Operations: [] Exploring Operation: 93-24=69, Resulting Numbers: [48, 79, 69] Generated Node #2: [48, 79, 69] from Operation: 93-24=69 Current State: 38:[48, 79, 69], Operations: ['93-24=69'] Exploring Operation: 79-48=31, Resulting Numbers: [69, 31] Generated Node #3: [69, 31] from Operation: 79-48=31 Current State: 38:[69, 31], Operations: ['93-24=69', '79-48=31'] Exploring Operation: 69-31=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 63, 41, 52, 12 ]
63
[ "52-41=11", "12-11=1", "63*1=63" ]
Current State: 63:[63, 41, 52, 12], Operations: [] Exploring Operation: 52-41=11, Resulting Numbers: [63, 12, 11] Generated Node #2: [63, 12, 11] from Operation: 52-41=11 Current State: 63:[63, 12, 11], Operations: ['52-41=11'] Exploring Operation: 12-11=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 12-11=1 Current State: 63:[63, 1], Operations: ['52-41=11', '12-11=1'] Exploring Operation: 63*1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 1, 64, 91, 57 ]
98
[ "1*64=64", "91-57=34", "64+34=98" ]
Current State: 98:[1, 64, 91, 57], Operations: [] Exploring Operation: 1*64=64, Resulting Numbers: [91, 57, 64] Generated Node #2: [91, 57, 64] from Operation: 1*64=64 Current State: 98:[91, 57, 64], Operations: ['1*64=64'] Exploring Operation: 91-57=34, Resulting Numbers: [64, 34] Generated Node #3: [64, 34] from Operation: 91-57=34 Current State: 98:[64, 34], Operations: ['1*64=64', '91-57=34'] Exploring Operation: 64+34=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 77, 79, 3, 38 ]
70
[ "79-77=2", "38-3=35", "2*35=70" ]
Current State: 70:[77, 79, 3, 38], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [3, 38, 2] Generated Node #2: [3, 38, 2] from Operation: 79-77=2 Current State: 70:[3, 38, 2], Operations: ['79-77=2'] Exploring Operation: 38-3=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 38-3=35 Current State: 70:[2, 35], Operations: ['79-77=2', '38-3=35'] Exploring Operation: 2*35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 74, 10, 66, 44 ]
96
[ "74-10=64", "66*64=4224", "4224/44=96" ]
Current State: 96:[74, 10, 66, 44], Operations: [] Exploring Operation: 74-10=64, Resulting Numbers: [66, 44, 64] Generated Node #2: [66, 44, 64] from Operation: 74-10=64 Current State: 96:[66, 44, 64], Operations: ['74-10=64'] Exploring Operation: 66*64=4224, Resulting Numbers: [44, 4224] Generated Node #3: [44, 4224] from Operation: 66*64=4224 Current State: 96:[44, 4224], Operations: ['74-10=64', '66*64=4224'] Exploring Operation: 4224/44=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 46, 3, 34, 2 ]
25
[ "46-3=43", "34*2=68", "68-43=25" ]
Current State: 25:[46, 3, 34, 2], Operations: [] Exploring Operation: 46-3=43, Resulting Numbers: [34, 2, 43] Generated Node #2: [34, 2, 43] from Operation: 46-3=43 Current State: 25:[34, 2, 43], Operations: ['46-3=43'] Exploring Operation: 34*2=68, Resulting Numbers: [43, 68] Generated Node #3: [43, 68] from Operation: 34*2=68 Current State: 25:[43, 68], Operations: ['46-3=43', '34*2=68'] Exploring Operation: 68-43=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 82, 46, 42, 61 ]
67
[ "82-46=36", "42+61=103", "103-36=67" ]
Current State: 67:[82, 46, 42, 61], Operations: [] Exploring Operation: 82-46=36, Resulting Numbers: [42, 61, 36] Generated Node #2: [42, 61, 36] from Operation: 82-46=36 Current State: 67:[42, 61, 36], Operations: ['82-46=36'] Exploring Operation: 42+61=103, Resulting Numbers: [36, 103] Generated Node #3: [36, 103] from Operation: 42+61=103 Current State: 67:[36, 103], Operations: ['82-46=36', '42+61=103'] Exploring Operation: 103-36=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 59, 64, 4, 89 ]
98
[ "64-59=5", "4+89=93", "5+93=98" ]
Current State: 98:[59, 64, 4, 89], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [4, 89, 5] Generated Node #2: [4, 89, 5] from Operation: 64-59=5 Current State: 98:[4, 89, 5], Operations: ['64-59=5'] Exploring Operation: 4+89=93, Resulting Numbers: [5, 93] Generated Node #3: [5, 93] from Operation: 4+89=93 Current State: 98:[5, 93], Operations: ['64-59=5', '4+89=93'] Exploring Operation: 5+93=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 34, 78, 27, 51 ]
90
[ "78*51=3978", "3978/34=117", "117-27=90" ]
Current State: 90:[34, 78, 27, 51], Operations: [] Exploring Operation: 78*51=3978, Resulting Numbers: [34, 27, 3978] Generated Node #2: [34, 27, 3978] from Operation: 78*51=3978 Current State: 90:[34, 27, 3978], Operations: ['78*51=3978'] Exploring Operation: 3978/34=117, Resulting Numbers: [27, 117] Generated Node #3: [27, 117] from Operation: 3978/34=117 Current State: 90:[27, 117], Operations: ['78*51=3978', '3978/34=117'] Exploring Operation: 117-27=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 86, 21, 84, 43 ]
24
[ "86-21=65", "84-43=41", "65-41=24" ]
Current State: 24:[86, 21, 84, 43], Operations: [] Exploring Operation: 86-21=65, Resulting Numbers: [84, 43, 65] Generated Node #2: [84, 43, 65] from Operation: 86-21=65 Current State: 24:[84, 43, 65], Operations: ['86-21=65'] Exploring Operation: 84-43=41, Resulting Numbers: [65, 41] Generated Node #3: [65, 41] from Operation: 84-43=41 Current State: 24:[65, 41], Operations: ['86-21=65', '84-43=41'] Exploring Operation: 65-41=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 43, 73, 42, 11 ]
62
[ "43-42=1", "73-11=62", "1*62=62" ]
Current State: 62:[43, 73, 42, 11], Operations: [] Exploring Operation: 43-42=1, Resulting Numbers: [73, 11, 1] Generated Node #2: [73, 11, 1] from Operation: 43-42=1 Current State: 62:[73, 11, 1], Operations: ['43-42=1'] Exploring Operation: 73-11=62, Resulting Numbers: [1, 62] Generated Node #3: [1, 62] from Operation: 73-11=62 Current State: 62:[1, 62], Operations: ['43-42=1', '73-11=62'] Exploring Operation: 1*62=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 48, 20, 52, 16 ]
41
[ "48*16=768", "52+768=820", "820/20=41" ]
Current State: 41:[48, 20, 52, 16], Operations: [] Exploring Operation: 48*16=768, Resulting Numbers: [20, 52, 768] Generated Node #2: [20, 52, 768] from Operation: 48*16=768 Current State: 41:[20, 52, 768], Operations: ['48*16=768'] Exploring Operation: 52+768=820, Resulting Numbers: [20, 820] Generated Node #3: [20, 820] from Operation: 52+768=820 Current State: 41:[20, 820], Operations: ['48*16=768', '52+768=820'] Exploring Operation: 820/20=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 62, 51, 21, 51 ]
21
[ "51-51=0", "62*0=0", "21+0=21" ]
Current State: 21:[62, 51, 21, 51], Operations: [] Exploring Operation: 51-51=0, Resulting Numbers: [62, 21, 0] Generated Node #2: [62, 21, 0] from Operation: 51-51=0 Current State: 21:[62, 21, 0], Operations: ['51-51=0'] Exploring Operation: 62*0=0, Resulting Numbers: [21, 0] Generated Node #3: [21, 0] from Operation: 62*0=0 Current State: 21:[21, 0], Operations: ['51-51=0', '62*0=0'] Exploring Operation: 21+0=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 14, 64, 72 ]
69
[ "72-2=70", "70/14=5", "64+5=69" ]
Current State: 69:[2, 14, 64, 72], Operations: [] Exploring Operation: 72-2=70, Resulting Numbers: [14, 64, 70] Generated Node #2: [14, 64, 70] from Operation: 72-2=70 Current State: 69:[14, 64, 70], Operations: ['72-2=70'] Exploring Operation: 70/14=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 70/14=5 Current State: 69:[64, 5], Operations: ['72-2=70', '70/14=5'] Exploring Operation: 64+5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 43, 5, 85, 5 ]
55
[ "43-5=38", "85/5=17", "38+17=55" ]
Current State: 55:[43, 5, 85, 5], Operations: [] Exploring Operation: 43-5=38, Resulting Numbers: [85, 38] Generated Node #2: [85, 38] from Operation: 43-5=38 Current State: 55:[85, 38], Operations: ['43-5=38'] Exploring Operation: 85/5=17, Resulting Numbers: [38, 17] Generated Node #3: [38, 17] from Operation: 85/5=17 Current State: 55:[38, 17], Operations: ['43-5=38', '85/5=17'] Exploring Operation: 38+17=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 24, 45, 43, 5 ]
38
[ "24-5=19", "45-43=2", "19*2=38" ]
Current State: 38:[24, 45, 43, 5], Operations: [] Exploring Operation: 24-5=19, Resulting Numbers: [45, 43, 19] Generated Node #2: [45, 43, 19] from Operation: 24-5=19 Current State: 38:[45, 43, 19], Operations: ['24-5=19'] Exploring Operation: 45-43=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 45-43=2 Current State: 38:[19, 2], Operations: ['24-5=19', '45-43=2'] Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 59, 21, 93, 2 ]
11
[ "59+21=80", "93-2=91", "91-80=11" ]
Current State: 11:[59, 21, 93, 2], Operations: [] Exploring Operation: 59+21=80, Resulting Numbers: [93, 2, 80] Generated Node #2: [93, 2, 80] from Operation: 59+21=80 Current State: 11:[93, 2, 80], Operations: ['59+21=80'] Exploring Operation: 93-2=91, Resulting Numbers: [80, 91] Generated Node #3: [80, 91] from Operation: 93-2=91 Current State: 11:[80, 91], Operations: ['59+21=80', '93-2=91'] Exploring Operation: 91-80=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 51, 31, 1, 17 ]
65
[ "51+31=82", "1*17=17", "82-17=65" ]
Current State: 65:[51, 31, 1, 17], Operations: [] Exploring Operation: 51+31=82, Resulting Numbers: [1, 17, 82] Generated Node #2: [1, 17, 82] from Operation: 51+31=82 Current State: 65:[1, 17, 82], Operations: ['51+31=82'] Exploring Operation: 1*17=17, Resulting Numbers: [82, 17] Generated Node #3: [82, 17] from Operation: 1*17=17 Current State: 65:[82, 17], Operations: ['51+31=82', '1*17=17'] Exploring Operation: 82-17=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 94, 81, 22, 43 ]
34
[ "94-81=13", "43-22=21", "13+21=34" ]
Current State: 34:[94, 81, 22, 43], Operations: [] Exploring Operation: 94-81=13, Resulting Numbers: [22, 43, 13] Generated Node #2: [22, 43, 13] from Operation: 94-81=13 Current State: 34:[22, 43, 13], Operations: ['94-81=13'] Exploring Operation: 43-22=21, Resulting Numbers: [13, 21] Generated Node #3: [13, 21] from Operation: 43-22=21 Current State: 34:[13, 21], Operations: ['94-81=13', '43-22=21'] Exploring Operation: 13+21=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 89, 51, 18, 3 ]
46
[ "89+18=107", "51*3=153", "153-107=46" ]
Current State: 46:[89, 51, 18, 3], Operations: [] Exploring Operation: 89+18=107, Resulting Numbers: [51, 3, 107] Generated Node #2: [51, 3, 107] from Operation: 89+18=107 Current State: 46:[51, 3, 107], Operations: ['89+18=107'] Exploring Operation: 51*3=153, Resulting Numbers: [107, 153] Generated Node #3: [107, 153] from Operation: 51*3=153 Current State: 46:[107, 153], Operations: ['89+18=107', '51*3=153'] Exploring Operation: 153-107=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 77, 52, 41, 2 ]
85
[ "77+52=129", "41+129=170", "170/2=85" ]
Current State: 85:[77, 52, 41, 2], Operations: [] Exploring Operation: 77+52=129, Resulting Numbers: [41, 2, 129] Generated Node #2: [41, 2, 129] from Operation: 77+52=129 Current State: 85:[41, 2, 129], Operations: ['77+52=129'] Exploring Operation: 41+129=170, Resulting Numbers: [2, 170] Generated Node #3: [2, 170] from Operation: 41+129=170 Current State: 85:[2, 170], Operations: ['77+52=129', '41+129=170'] Exploring Operation: 170/2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 9, 25, 55, 15 ]
70
[ "9*25=225", "225/15=15", "55+15=70" ]
Current State: 70:[9, 25, 55, 15], Operations: [] Exploring Operation: 9*25=225, Resulting Numbers: [55, 15, 225] Generated Node #2: [55, 15, 225] from Operation: 9*25=225 Current State: 70:[55, 15, 225], Operations: ['9*25=225'] Exploring Operation: 225/15=15, Resulting Numbers: [55, 15] Generated Node #3: [55, 15] from Operation: 225/15=15 Current State: 70:[55, 15], Operations: ['9*25=225', '225/15=15'] Exploring Operation: 55+15=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 34, 16, 28, 27 ]
51
[ "34+16=50", "28-27=1", "50+1=51" ]
Current State: 51:[34, 16, 28, 27], Operations: [] Exploring Operation: 34+16=50, Resulting Numbers: [28, 27, 50] Generated Node #2: [28, 27, 50] from Operation: 34+16=50 Current State: 51:[28, 27, 50], Operations: ['34+16=50'] Exploring Operation: 28-27=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 28-27=1 Current State: 51:[50, 1], Operations: ['34+16=50', '28-27=1'] Exploring Operation: 50+1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 34, 24, 53, 15 ]
12
[ "34*24=816", "53+15=68", "816/68=12" ]
Current State: 12:[34, 24, 53, 15], Operations: [] Exploring Operation: 34*24=816, Resulting Numbers: [53, 15, 816] Generated Node #2: [53, 15, 816] from Operation: 34*24=816 Current State: 12:[53, 15, 816], Operations: ['34*24=816'] Exploring Operation: 53+15=68, Resulting Numbers: [816, 68] Generated Node #3: [816, 68] from Operation: 53+15=68 Current State: 12:[816, 68], Operations: ['34*24=816', '53+15=68'] Exploring Operation: 816/68=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 61, 85, 13, 15 ]
73
[ "61+85=146", "15-13=2", "146/2=73" ]
Current State: 73:[61, 85, 13, 15], Operations: [] Exploring Operation: 61+85=146, Resulting Numbers: [13, 15, 146] Generated Node #2: [13, 15, 146] from Operation: 61+85=146 Current State: 73:[13, 15, 146], Operations: ['61+85=146'] Exploring Operation: 15-13=2, Resulting Numbers: [146, 2] Generated Node #3: [146, 2] from Operation: 15-13=2 Current State: 73:[146, 2], Operations: ['61+85=146', '15-13=2'] Exploring Operation: 146/2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 81, 73, 33, 70 ]
76
[ "81-70=11", "33/11=3", "73+3=76" ]
Current State: 76:[81, 73, 33, 70], Operations: [] Exploring Operation: 81-70=11, Resulting Numbers: [73, 33, 11] Generated Node #2: [73, 33, 11] from Operation: 81-70=11 Current State: 76:[73, 33, 11], Operations: ['81-70=11'] Exploring Operation: 33/11=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 33/11=3 Current State: 76:[73, 3], Operations: ['81-70=11', '33/11=3'] Exploring Operation: 73+3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 14, 54, 20, 65 ]
63
[ "54-14=40", "40/20=2", "65-2=63" ]
Current State: 63:[14, 54, 20, 65], Operations: [] Exploring Operation: 54-14=40, Resulting Numbers: [20, 65, 40] Generated Node #2: [20, 65, 40] from Operation: 54-14=40 Current State: 63:[20, 65, 40], Operations: ['54-14=40'] Exploring Operation: 40/20=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 40/20=2 Current State: 63:[65, 2], Operations: ['54-14=40', '40/20=2'] Exploring Operation: 65-2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 81, 99, 44, 9 ]
85
[ "99/9=11", "44/11=4", "81+4=85" ]
Current State: 85:[81, 99, 44, 9], Operations: [] Exploring Operation: 99/9=11, Resulting Numbers: [81, 44, 11] Generated Node #2: [81, 44, 11] from Operation: 99/9=11 Current State: 85:[81, 44, 11], Operations: ['99/9=11'] Exploring Operation: 44/11=4, Resulting Numbers: [81, 4] Generated Node #3: [81, 4] from Operation: 44/11=4 Current State: 85:[81, 4], Operations: ['99/9=11', '44/11=4'] Exploring Operation: 81+4=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 39, 2, 6, 20 ]
93
[ "2+20=22", "6*22=132", "132-39=93" ]
Current State: 93:[39, 2, 6, 20], Operations: [] Exploring Operation: 2+20=22, Resulting Numbers: [39, 6, 22] Generated Node #2: [39, 6, 22] from Operation: 2+20=22 Current State: 93:[39, 6, 22], Operations: ['2+20=22'] Exploring Operation: 6*22=132, Resulting Numbers: [39, 132] Generated Node #3: [39, 132] from Operation: 6*22=132 Current State: 93:[39, 132], Operations: ['2+20=22', '6*22=132'] Exploring Operation: 132-39=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 67, 54, 11, 17 ]
58
[ "17-11=6", "54/6=9", "67-9=58" ]
Current State: 58:[67, 54, 11, 17], Operations: [] Exploring Operation: 17-11=6, Resulting Numbers: [67, 54, 6] Generated Node #2: [67, 54, 6] from Operation: 17-11=6 Current State: 58:[67, 54, 6], Operations: ['17-11=6'] Exploring Operation: 54/6=9, Resulting Numbers: [67, 9] Generated Node #3: [67, 9] from Operation: 54/6=9 Current State: 58:[67, 9], Operations: ['17-11=6', '54/6=9'] Exploring Operation: 67-9=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 22, 73, 72, 61 ]
40
[ "73-22=51", "72-61=11", "51-11=40" ]
Current State: 40:[22, 73, 72, 61], Operations: [] Exploring Operation: 73-22=51, Resulting Numbers: [72, 61, 51] Generated Node #2: [72, 61, 51] from Operation: 73-22=51 Current State: 40:[72, 61, 51], Operations: ['73-22=51'] Exploring Operation: 72-61=11, Resulting Numbers: [51, 11] Generated Node #3: [51, 11] from Operation: 72-61=11 Current State: 40:[51, 11], Operations: ['73-22=51', '72-61=11'] Exploring Operation: 51-11=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 26, 92, 9, 18 ]
64
[ "92-26=66", "18/9=2", "66-2=64" ]
Current State: 64:[26, 92, 9, 18], Operations: [] Exploring Operation: 92-26=66, Resulting Numbers: [9, 18, 66] Generated Node #2: [9, 18, 66] from Operation: 92-26=66 Current State: 64:[9, 18, 66], Operations: ['92-26=66'] Exploring Operation: 18/9=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 18/9=2 Current State: 64:[66, 2], Operations: ['92-26=66', '18/9=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 16, 49, 53, 68 ]
64
[ "53-49=4", "16/4=4", "68-4=64" ]
Current State: 64:[16, 49, 53, 68], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [16, 68, 4] Generated Node #2: [16, 68, 4] from Operation: 53-49=4 Current State: 64:[16, 68, 4], Operations: ['53-49=4'] Exploring Operation: 16/4=4, Resulting Numbers: [68, 4] Generated Node #3: [68, 4] from Operation: 16/4=4 Current State: 64:[68, 4], Operations: ['53-49=4', '16/4=4'] Exploring Operation: 68-4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 67, 36, 35, 24 ]
91
[ "67+24=91", "36-35=1", "91*1=91" ]
Current State: 91:[67, 36, 35, 24], Operations: [] Exploring Operation: 67+24=91, Resulting Numbers: [36, 35, 91] Generated Node #2: [36, 35, 91] from Operation: 67+24=91 Current State: 91:[36, 35, 91], Operations: ['67+24=91'] Exploring Operation: 36-35=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 36-35=1 Current State: 91:[91, 1], Operations: ['67+24=91', '36-35=1'] Exploring Operation: 91*1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 51, 59, 2, 42 ]
92
[ "59-51=8", "2*42=84", "8+84=92" ]
Current State: 92:[51, 59, 2, 42], Operations: [] Exploring Operation: 59-51=8, Resulting Numbers: [2, 42, 8] Generated Node #2: [2, 42, 8] from Operation: 59-51=8 Current State: 92:[2, 42, 8], Operations: ['59-51=8'] Exploring Operation: 2*42=84, Resulting Numbers: [8, 84] Generated Node #3: [8, 84] from Operation: 2*42=84 Current State: 92:[8, 84], Operations: ['59-51=8', '2*42=84'] Exploring Operation: 8+84=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 58, 94, 95, 89 ]
39
[ "94-89=5", "95/5=19", "58-19=39" ]
Current State: 39:[58, 94, 95, 89], Operations: [] Exploring Operation: 94-89=5, Resulting Numbers: [58, 95, 5] Generated Node #2: [58, 95, 5] from Operation: 94-89=5 Current State: 39:[58, 95, 5], Operations: ['94-89=5'] Exploring Operation: 95/5=19, Resulting Numbers: [58, 19] Generated Node #3: [58, 19] from Operation: 95/5=19 Current State: 39:[58, 19], Operations: ['94-89=5', '95/5=19'] Exploring Operation: 58-19=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 88, 55, 85, 40 ]
45
[ "88-85=3", "55-40=15", "3*15=45" ]
Current State: 45:[88, 55, 85, 40], Operations: [] Exploring Operation: 88-85=3, Resulting Numbers: [55, 40, 3] Generated Node #2: [55, 40, 3] from Operation: 88-85=3 Current State: 45:[55, 40, 3], Operations: ['88-85=3'] Exploring Operation: 55-40=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 55-40=15 Current State: 45:[3, 15], Operations: ['88-85=3', '55-40=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 97, 53, 92, 91 ]
44
[ "97-53=44", "92-91=1", "44*1=44" ]
Current State: 44:[97, 53, 92, 91], Operations: [] Exploring Operation: 97-53=44, Resulting Numbers: [92, 91, 44] Generated Node #2: [92, 91, 44] from Operation: 97-53=44 Current State: 44:[92, 91, 44], Operations: ['97-53=44'] Exploring Operation: 92-91=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 92-91=1 Current State: 44:[44, 1], Operations: ['97-53=44', '92-91=1'] Exploring Operation: 44*1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 18, 56, 84, 77 ]
45
[ "56-18=38", "84-77=7", "38+7=45" ]
Current State: 45:[18, 56, 84, 77], Operations: [] Exploring Operation: 56-18=38, Resulting Numbers: [84, 77, 38] Generated Node #2: [84, 77, 38] from Operation: 56-18=38 Current State: 45:[84, 77, 38], Operations: ['56-18=38'] Exploring Operation: 84-77=7, Resulting Numbers: [38, 7] Generated Node #3: [38, 7] from Operation: 84-77=7 Current State: 45:[38, 7], Operations: ['56-18=38', '84-77=7'] Exploring Operation: 38+7=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 88, 83, 16, 74 ]
18
[ "88-83=5", "16+74=90", "90/5=18" ]
Current State: 18:[88, 83, 16, 74], Operations: [] Exploring Operation: 88-83=5, Resulting Numbers: [16, 74, 5] Generated Node #2: [16, 74, 5] from Operation: 88-83=5 Current State: 18:[16, 74, 5], Operations: ['88-83=5'] Exploring Operation: 16+74=90, Resulting Numbers: [5, 90] Generated Node #3: [5, 90] from Operation: 16+74=90 Current State: 18:[5, 90], Operations: ['88-83=5', '16+74=90'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 56, 98, 12, 14 ]
95
[ "56/14=4", "12/4=3", "98-3=95" ]
Current State: 95:[56, 98, 12, 14], Operations: [] Exploring Operation: 56/14=4, Resulting Numbers: [98, 12, 4] Generated Node #2: [98, 12, 4] from Operation: 56/14=4 Current State: 95:[98, 12, 4], Operations: ['56/14=4'] Exploring Operation: 12/4=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 12/4=3 Current State: 95:[98, 3], Operations: ['56/14=4', '12/4=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 8, 80, 12, 14 ]
82
[ "14-8=6", "12/6=2", "80+2=82" ]
Current State: 82:[8, 80, 12, 14], Operations: [] Exploring Operation: 14-8=6, Resulting Numbers: [80, 12, 6] Generated Node #2: [80, 12, 6] from Operation: 14-8=6 Current State: 82:[80, 12, 6], Operations: ['14-8=6'] Exploring Operation: 12/6=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 12/6=2 Current State: 82:[80, 2], Operations: ['14-8=6', '12/6=2'] Exploring Operation: 80+2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 39, 66, 14, 38 ]
41
[ "66-38=28", "28/14=2", "39+2=41" ]
Current State: 41:[39, 66, 14, 38], Operations: [] Exploring Operation: 66-38=28, Resulting Numbers: [39, 14, 28] Generated Node #2: [39, 14, 28] from Operation: 66-38=28 Current State: 41:[39, 14, 28], Operations: ['66-38=28'] Exploring Operation: 28/14=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 28/14=2 Current State: 41:[39, 2], Operations: ['66-38=28', '28/14=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 13, 44, 42, 80 ]
65
[ "13+44=57", "42+80=122", "122-57=65" ]
Current State: 65:[13, 44, 42, 80], Operations: [] Exploring Operation: 13+44=57, Resulting Numbers: [42, 80, 57] Generated Node #2: [42, 80, 57] from Operation: 13+44=57 Current State: 65:[42, 80, 57], Operations: ['13+44=57'] Exploring Operation: 42+80=122, Resulting Numbers: [57, 122] Generated Node #3: [57, 122] from Operation: 42+80=122 Current State: 65:[57, 122], Operations: ['13+44=57', '42+80=122'] Exploring Operation: 122-57=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 52, 78, 76, 52 ]
16
[ "76-52=24", "52*24=1248", "1248/78=16" ]
Current State: 16:[52, 78, 76, 52], Operations: [] Exploring Operation: 76-52=24, Resulting Numbers: [78, 24] Generated Node #2: [78, 24] from Operation: 76-52=24 Current State: 16:[78, 24], Operations: ['76-52=24'] Exploring Operation: 52*24=1248, Resulting Numbers: [78, 1248] Generated Node #3: [78, 1248] from Operation: 52*24=1248 Current State: 16:[78, 1248], Operations: ['76-52=24', '52*24=1248'] Exploring Operation: 1248/78=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 53, 53, 57, 3 ]
20
[ "53/53=1", "57/3=19", "1+19=20" ]
Current State: 20:[53, 53, 57, 3], Operations: [] Exploring Operation: 53/53=1, Resulting Numbers: [57, 3, 1] Generated Node #2: [57, 3, 1] from Operation: 53/53=1 Current State: 20:[57, 3, 1], Operations: ['53/53=1'] Exploring Operation: 57/3=19, Resulting Numbers: [1, 19] Generated Node #3: [1, 19] from Operation: 57/3=19 Current State: 20:[1, 19], Operations: ['53/53=1', '57/3=19'] Exploring Operation: 1+19=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 53, 79, 6, 40 ]
62
[ "53+79=132", "132/6=22", "40+22=62" ]
Current State: 62:[53, 79, 6, 40], Operations: [] Exploring Operation: 53+79=132, Resulting Numbers: [6, 40, 132] Generated Node #2: [6, 40, 132] from Operation: 53+79=132 Current State: 62:[6, 40, 132], Operations: ['53+79=132'] Exploring Operation: 132/6=22, Resulting Numbers: [40, 22] Generated Node #3: [40, 22] from Operation: 132/6=22 Current State: 62:[40, 22], Operations: ['53+79=132', '132/6=22'] Exploring Operation: 40+22=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 83, 83, 5, 76 ]
72
[ "83/83=1", "76-5=71", "1+71=72" ]
Current State: 72:[83, 83, 5, 76], Operations: [] Exploring Operation: 83/83=1, Resulting Numbers: [5, 76, 1] Generated Node #2: [5, 76, 1] from Operation: 83/83=1 Current State: 72:[5, 76, 1], Operations: ['83/83=1'] Exploring Operation: 76-5=71, Resulting Numbers: [1, 71] Generated Node #3: [1, 71] from Operation: 76-5=71 Current State: 72:[1, 71], Operations: ['83/83=1', '76-5=71'] Exploring Operation: 1+71=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4