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
[ 82, 5, 7, 8 ]
88
[ "82+5=87", "8-7=1", "87+1=88" ]
Current State: 88:[82, 5, 7, 8], Operations: [] Exploring Operation: 82+5=87, Resulting Numbers: [7, 8, 87] Generated Node #2: [7, 8, 87] from Operation: 82+5=87 Current State: 88:[7, 8, 87], Operations: ['82+5=87'] Exploring Operation: 8-7=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 8-7=1 Current State: 88:[87, 1], Operations: ['82+5=87', '8-7=1'] Exploring Operation: 87+1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 1, 67, 79, 2 ]
45
[ "1+67=68", "68/2=34", "79-34=45" ]
Current State: 45:[1, 67, 79, 2], Operations: [] Exploring Operation: 1+67=68, Resulting Numbers: [79, 2, 68] Generated Node #2: [79, 2, 68] from Operation: 1+67=68 Current State: 45:[79, 2, 68], Operations: ['1+67=68'] Exploring Operation: 68/2=34, Resulting Numbers: [79, 34] Generated Node #3: [79, 34] from Operation: 68/2=34 Current State: 45:[79, 34], Operations: ['1+67=68', '68/2=34'] Exploring Operation: 79-34=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 26, 92, 60, 40 ]
44
[ "92-26=66", "40*66=2640", "2640/60=44" ]
Current State: 44:[26, 92, 60, 40], Operations: [] Exploring Operation: 92-26=66, Resulting Numbers: [60, 40, 66] Generated Node #2: [60, 40, 66] from Operation: 92-26=66 Current State: 44:[60, 40, 66], Operations: ['92-26=66'] Exploring Operation: 40*66=2640, Resulting Numbers: [60, 2640] Generated Node #3: [60, 2640] from Operation: 40*66=2640 Current State: 44:[60, 2640], Operations: ['92-26=66', '40*66=2640'] Exploring Operation: 2640/60=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 12, 53, 97, 80 ]
24
[ "53-12=41", "97-80=17", "41-17=24" ]
Current State: 24:[12, 53, 97, 80], Operations: [] Exploring Operation: 53-12=41, Resulting Numbers: [97, 80, 41] Generated Node #2: [97, 80, 41] from Operation: 53-12=41 Current State: 24:[97, 80, 41], Operations: ['53-12=41'] Exploring Operation: 97-80=17, Resulting Numbers: [41, 17] Generated Node #3: [41, 17] from Operation: 97-80=17 Current State: 24:[41, 17], Operations: ['53-12=41', '97-80=17'] Exploring Operation: 41-17=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 73, 54, 14, 86 ]
55
[ "73+54=127", "86-14=72", "127-72=55" ]
Current State: 55:[73, 54, 14, 86], Operations: [] Exploring Operation: 73+54=127, Resulting Numbers: [14, 86, 127] Generated Node #2: [14, 86, 127] from Operation: 73+54=127 Current State: 55:[14, 86, 127], Operations: ['73+54=127'] Exploring Operation: 86-14=72, Resulting Numbers: [127, 72] Generated Node #3: [127, 72] from Operation: 86-14=72 Current State: 55:[127, 72], Operations: ['73+54=127', '86-14=72'] Exploring Operation: 127-72=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 98, 1, 62, 99 ]
64
[ "98-1=97", "62+99=161", "161-97=64" ]
Current State: 64:[98, 1, 62, 99], Operations: [] Exploring Operation: 98-1=97, Resulting Numbers: [62, 99, 97] Generated Node #2: [62, 99, 97] from Operation: 98-1=97 Current State: 64:[62, 99, 97], Operations: ['98-1=97'] Exploring Operation: 62+99=161, Resulting Numbers: [97, 161] Generated Node #3: [97, 161] from Operation: 62+99=161 Current State: 64:[97, 161], Operations: ['98-1=97', '62+99=161'] Exploring Operation: 161-97=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 50, 94, 81, 44 ]
19
[ "50+94=144", "81+44=125", "144-125=19" ]
Current State: 19:[50, 94, 81, 44], Operations: [] Exploring Operation: 50+94=144, Resulting Numbers: [81, 44, 144] Generated Node #2: [81, 44, 144] from Operation: 50+94=144 Current State: 19:[81, 44, 144], Operations: ['50+94=144'] Exploring Operation: 81+44=125, Resulting Numbers: [144, 125] Generated Node #3: [144, 125] from Operation: 81+44=125 Current State: 19:[144, 125], Operations: ['50+94=144', '81+44=125'] Exploring Operation: 144-125=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 46, 74, 20, 92 ]
86
[ "46+74=120", "120/20=6", "92-6=86" ]
Current State: 86:[46, 74, 20, 92], Operations: [] Exploring Operation: 46+74=120, Resulting Numbers: [20, 92, 120] Generated Node #2: [20, 92, 120] from Operation: 46+74=120 Current State: 86:[20, 92, 120], Operations: ['46+74=120'] Exploring Operation: 120/20=6, Resulting Numbers: [92, 6] Generated Node #3: [92, 6] from Operation: 120/20=6 Current State: 86:[92, 6], Operations: ['46+74=120', '120/20=6'] Exploring Operation: 92-6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 84, 26, 29, 46 ]
35
[ "84+26=110", "29+46=75", "110-75=35" ]
Current State: 35:[84, 26, 29, 46], Operations: [] Exploring Operation: 84+26=110, Resulting Numbers: [29, 46, 110] Generated Node #2: [29, 46, 110] from Operation: 84+26=110 Current State: 35:[29, 46, 110], Operations: ['84+26=110'] Exploring Operation: 29+46=75, Resulting Numbers: [110, 75] Generated Node #3: [110, 75] from Operation: 29+46=75 Current State: 35:[110, 75], Operations: ['84+26=110', '29+46=75'] Exploring Operation: 110-75=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 33, 18, 3, 93 ]
75
[ "33-18=15", "93-3=90", "90-15=75" ]
Current State: 75:[33, 18, 3, 93], Operations: [] Exploring Operation: 33-18=15, Resulting Numbers: [3, 93, 15] Generated Node #2: [3, 93, 15] from Operation: 33-18=15 Current State: 75:[3, 93, 15], Operations: ['33-18=15'] Exploring Operation: 93-3=90, Resulting Numbers: [15, 90] Generated Node #3: [15, 90] from Operation: 93-3=90 Current State: 75:[15, 90], Operations: ['33-18=15', '93-3=90'] Exploring Operation: 90-15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 88, 48, 44, 36 ]
14
[ "88/44=2", "48-36=12", "2+12=14" ]
Current State: 14:[88, 48, 44, 36], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [48, 36, 2] Generated Node #2: [48, 36, 2] from Operation: 88/44=2 Current State: 14:[48, 36, 2], Operations: ['88/44=2'] Exploring Operation: 48-36=12, Resulting Numbers: [2, 12] Generated Node #3: [2, 12] from Operation: 48-36=12 Current State: 14:[2, 12], Operations: ['88/44=2', '48-36=12'] Exploring Operation: 2+12=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 15, 68, 1, 13 ]
97
[ "15+68=83", "1+13=14", "83+14=97" ]
Current State: 97:[15, 68, 1, 13], Operations: [] Exploring Operation: 15+68=83, Resulting Numbers: [1, 13, 83] Generated Node #2: [1, 13, 83] from Operation: 15+68=83 Current State: 97:[1, 13, 83], Operations: ['15+68=83'] Exploring Operation: 1+13=14, Resulting Numbers: [83, 14] Generated Node #3: [83, 14] from Operation: 1+13=14 Current State: 97:[83, 14], Operations: ['15+68=83', '1+13=14'] Exploring Operation: 83+14=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 1, 96, 77, 46 ]
26
[ "1+96=97", "77+46=123", "123-97=26" ]
Current State: 26:[1, 96, 77, 46], Operations: [] Exploring Operation: 1+96=97, Resulting Numbers: [77, 46, 97] Generated Node #2: [77, 46, 97] from Operation: 1+96=97 Current State: 26:[77, 46, 97], Operations: ['1+96=97'] Exploring Operation: 77+46=123, Resulting Numbers: [97, 123] Generated Node #3: [97, 123] from Operation: 77+46=123 Current State: 26:[97, 123], Operations: ['1+96=97', '77+46=123'] Exploring Operation: 123-97=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 37, 61, 54, 29 ]
73
[ "37+61=98", "54-29=25", "98-25=73" ]
Current State: 73:[37, 61, 54, 29], Operations: [] Exploring Operation: 37+61=98, Resulting Numbers: [54, 29, 98] Generated Node #2: [54, 29, 98] from Operation: 37+61=98 Current State: 73:[54, 29, 98], Operations: ['37+61=98'] Exploring Operation: 54-29=25, Resulting Numbers: [98, 25] Generated Node #3: [98, 25] from Operation: 54-29=25 Current State: 73:[98, 25], Operations: ['37+61=98', '54-29=25'] Exploring Operation: 98-25=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 40, 70, 55, 56 ]
21
[ "70-55=15", "56*15=840", "840/40=21" ]
Current State: 21:[40, 70, 55, 56], Operations: [] Exploring Operation: 70-55=15, Resulting Numbers: [40, 56, 15] Generated Node #2: [40, 56, 15] from Operation: 70-55=15 Current State: 21:[40, 56, 15], Operations: ['70-55=15'] Exploring Operation: 56*15=840, Resulting Numbers: [40, 840] Generated Node #3: [40, 840] from Operation: 56*15=840 Current State: 21:[40, 840], Operations: ['70-55=15', '56*15=840'] Exploring Operation: 840/40=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 27, 2, 51, 10 ]
34
[ "27+51=78", "78-10=68", "68/2=34" ]
Current State: 34:[27, 2, 51, 10], Operations: [] Exploring Operation: 27+51=78, Resulting Numbers: [2, 10, 78] Generated Node #2: [2, 10, 78] from Operation: 27+51=78 Current State: 34:[2, 10, 78], Operations: ['27+51=78'] Exploring Operation: 78-10=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 78-10=68 Current State: 34:[2, 68], Operations: ['27+51=78', '78-10=68'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 69, 43, 62, 76 ]
98
[ "69+43=112", "76-62=14", "112-14=98" ]
Current State: 98:[69, 43, 62, 76], Operations: [] Exploring Operation: 69+43=112, Resulting Numbers: [62, 76, 112] Generated Node #2: [62, 76, 112] from Operation: 69+43=112 Current State: 98:[62, 76, 112], Operations: ['69+43=112'] Exploring Operation: 76-62=14, Resulting Numbers: [112, 14] Generated Node #3: [112, 14] from Operation: 76-62=14 Current State: 98:[112, 14], Operations: ['69+43=112', '76-62=14'] Exploring Operation: 112-14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 69, 28, 2, 32 ]
67
[ "69+28=97", "32-2=30", "97-30=67" ]
Current State: 67:[69, 28, 2, 32], Operations: [] Exploring Operation: 69+28=97, Resulting Numbers: [2, 32, 97] Generated Node #2: [2, 32, 97] from Operation: 69+28=97 Current State: 67:[2, 32, 97], Operations: ['69+28=97'] Exploring Operation: 32-2=30, Resulting Numbers: [97, 30] Generated Node #3: [97, 30] from Operation: 32-2=30 Current State: 67:[97, 30], Operations: ['69+28=97', '32-2=30'] Exploring Operation: 97-30=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 85, 35, 43, 7 ]
29
[ "85-43=42", "42/7=6", "35-6=29" ]
Current State: 29:[85, 35, 43, 7], Operations: [] Exploring Operation: 85-43=42, Resulting Numbers: [35, 7, 42] Generated Node #2: [35, 7, 42] from Operation: 85-43=42 Current State: 29:[35, 7, 42], Operations: ['85-43=42'] Exploring Operation: 42/7=6, Resulting Numbers: [35, 6] Generated Node #3: [35, 6] from Operation: 42/7=6 Current State: 29:[35, 6], Operations: ['85-43=42', '42/7=6'] Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 86, 49, 64, 23 ]
48
[ "86+49=135", "64+23=87", "135-87=48" ]
Current State: 48:[86, 49, 64, 23], Operations: [] Exploring Operation: 86+49=135, Resulting Numbers: [64, 23, 135] Generated Node #2: [64, 23, 135] from Operation: 86+49=135 Current State: 48:[64, 23, 135], Operations: ['86+49=135'] Exploring Operation: 64+23=87, Resulting Numbers: [135, 87] Generated Node #3: [135, 87] from Operation: 64+23=87 Current State: 48:[135, 87], Operations: ['86+49=135', '64+23=87'] Exploring Operation: 135-87=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 7, 3, 57, 9 ]
93
[ "7-3=4", "9*4=36", "57+36=93" ]
Current State: 93:[7, 3, 57, 9], Operations: [] Exploring Operation: 7-3=4, Resulting Numbers: [57, 9, 4] Generated Node #2: [57, 9, 4] from Operation: 7-3=4 Current State: 93:[57, 9, 4], Operations: ['7-3=4'] Exploring Operation: 9*4=36, Resulting Numbers: [57, 36] Generated Node #3: [57, 36] from Operation: 9*4=36 Current State: 93:[57, 36], Operations: ['7-3=4', '9*4=36'] Exploring Operation: 57+36=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 31, 56, 43, 5 ]
13
[ "56-31=25", "43-5=38", "38-25=13" ]
Current State: 13:[31, 56, 43, 5], Operations: [] Exploring Operation: 56-31=25, Resulting Numbers: [43, 5, 25] Generated Node #2: [43, 5, 25] from Operation: 56-31=25 Current State: 13:[43, 5, 25], Operations: ['56-31=25'] Exploring Operation: 43-5=38, Resulting Numbers: [25, 38] Generated Node #3: [25, 38] from Operation: 43-5=38 Current State: 13:[25, 38], Operations: ['56-31=25', '43-5=38'] Exploring Operation: 38-25=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 35, 42, 72, 1 ]
66
[ "42-35=7", "72+1=73", "73-7=66" ]
Current State: 66:[35, 42, 72, 1], Operations: [] Exploring Operation: 42-35=7, Resulting Numbers: [72, 1, 7] Generated Node #2: [72, 1, 7] from Operation: 42-35=7 Current State: 66:[72, 1, 7], Operations: ['42-35=7'] Exploring Operation: 72+1=73, Resulting Numbers: [7, 73] Generated Node #3: [7, 73] from Operation: 72+1=73 Current State: 66:[7, 73], Operations: ['42-35=7', '72+1=73'] Exploring Operation: 73-7=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 11, 3, 27, 84 ]
65
[ "11-3=8", "84-27=57", "8+57=65" ]
Current State: 65:[11, 3, 27, 84], Operations: [] Exploring Operation: 11-3=8, Resulting Numbers: [27, 84, 8] Generated Node #2: [27, 84, 8] from Operation: 11-3=8 Current State: 65:[27, 84, 8], Operations: ['11-3=8'] Exploring Operation: 84-27=57, Resulting Numbers: [8, 57] Generated Node #3: [8, 57] from Operation: 84-27=57 Current State: 65:[8, 57], Operations: ['11-3=8', '84-27=57'] Exploring Operation: 8+57=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 9, 62, 92, 5 ]
85
[ "9-5=4", "92/4=23", "62+23=85" ]
Current State: 85:[9, 62, 92, 5], Operations: [] Exploring Operation: 9-5=4, Resulting Numbers: [62, 92, 4] Generated Node #2: [62, 92, 4] from Operation: 9-5=4 Current State: 85:[62, 92, 4], Operations: ['9-5=4'] Exploring Operation: 92/4=23, Resulting Numbers: [62, 23] Generated Node #3: [62, 23] from Operation: 92/4=23 Current State: 85:[62, 23], Operations: ['9-5=4', '92/4=23'] Exploring Operation: 62+23=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 44, 80, 7, 74 ]
31
[ "80-44=36", "74-7=67", "67-36=31" ]
Current State: 31:[44, 80, 7, 74], Operations: [] Exploring Operation: 80-44=36, Resulting Numbers: [7, 74, 36] Generated Node #2: [7, 74, 36] from Operation: 80-44=36 Current State: 31:[7, 74, 36], Operations: ['80-44=36'] Exploring Operation: 74-7=67, Resulting Numbers: [36, 67] Generated Node #3: [36, 67] from Operation: 74-7=67 Current State: 31:[36, 67], Operations: ['80-44=36', '74-7=67'] Exploring Operation: 67-36=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 15, 59, 5, 3 ]
70
[ "15*3=45", "59-45=14", "5*14=70" ]
Current State: 70:[15, 59, 5, 3], Operations: [] Exploring Operation: 15*3=45, Resulting Numbers: [59, 5, 45] Generated Node #2: [59, 5, 45] from Operation: 15*3=45 Current State: 70:[59, 5, 45], Operations: ['15*3=45'] Exploring Operation: 59-45=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 59-45=14 Current State: 70:[5, 14], Operations: ['15*3=45', '59-45=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 98, 85, 37, 24 ]
83
[ "98-24=74", "74/37=2", "85-2=83" ]
Current State: 83:[98, 85, 37, 24], Operations: [] Exploring Operation: 98-24=74, Resulting Numbers: [85, 37, 74] Generated Node #2: [85, 37, 74] from Operation: 98-24=74 Current State: 83:[85, 37, 74], Operations: ['98-24=74'] Exploring Operation: 74/37=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 74/37=2 Current State: 83:[85, 2], Operations: ['98-24=74', '74/37=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 6, 37, 34, 68 ]
25
[ "6*68=408", "408/34=12", "37-12=25" ]
Current State: 25:[6, 37, 34, 68], Operations: [] Exploring Operation: 6*68=408, Resulting Numbers: [37, 34, 408] Generated Node #2: [37, 34, 408] from Operation: 6*68=408 Current State: 25:[37, 34, 408], Operations: ['6*68=408'] Exploring Operation: 408/34=12, Resulting Numbers: [37, 12] Generated Node #3: [37, 12] from Operation: 408/34=12 Current State: 25:[37, 12], Operations: ['6*68=408', '408/34=12'] Exploring Operation: 37-12=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 75, 51, 54, 41 ]
11
[ "75-51=24", "54-41=13", "24-13=11" ]
Current State: 11:[75, 51, 54, 41], Operations: [] Exploring Operation: 75-51=24, Resulting Numbers: [54, 41, 24] Generated Node #2: [54, 41, 24] from Operation: 75-51=24 Current State: 11:[54, 41, 24], Operations: ['75-51=24'] Exploring Operation: 54-41=13, Resulting Numbers: [24, 13] Generated Node #3: [24, 13] from Operation: 54-41=13 Current State: 11:[24, 13], Operations: ['75-51=24', '54-41=13'] Exploring Operation: 24-13=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 64, 13, 4, 50 ]
53
[ "64/4=16", "50-13=37", "16+37=53" ]
Current State: 53:[64, 13, 4, 50], Operations: [] Exploring Operation: 64/4=16, Resulting Numbers: [13, 50, 16] Generated Node #2: [13, 50, 16] from Operation: 64/4=16 Current State: 53:[13, 50, 16], Operations: ['64/4=16'] Exploring Operation: 50-13=37, Resulting Numbers: [16, 37] Generated Node #3: [16, 37] from Operation: 50-13=37 Current State: 53:[16, 37], Operations: ['64/4=16', '50-13=37'] Exploring Operation: 16+37=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 45, 36, 15, 16 ]
40
[ "45-36=9", "15+16=31", "9+31=40" ]
Current State: 40:[45, 36, 15, 16], Operations: [] Exploring Operation: 45-36=9, Resulting Numbers: [15, 16, 9] Generated Node #2: [15, 16, 9] from Operation: 45-36=9 Current State: 40:[15, 16, 9], Operations: ['45-36=9'] Exploring Operation: 15+16=31, Resulting Numbers: [9, 31] Generated Node #3: [9, 31] from Operation: 15+16=31 Current State: 40:[9, 31], Operations: ['45-36=9', '15+16=31'] Exploring Operation: 9+31=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 4, 16, 22, 2 ]
19
[ "4-2=2", "16+22=38", "38/2=19" ]
Current State: 19:[4, 16, 22, 2], Operations: [] Exploring Operation: 4-2=2, Resulting Numbers: [16, 22, 2] Generated Node #2: [16, 22, 2] from Operation: 4-2=2 Current State: 19:[16, 22, 2], Operations: ['4-2=2'] Exploring Operation: 16+22=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 16+22=38 Current State: 19:[2, 38], Operations: ['4-2=2', '16+22=38'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 3, 4, 76, 15 ]
76
[ "15/3=5", "5-4=1", "76*1=76" ]
Current State: 76:[3, 4, 76, 15], Operations: [] Exploring Operation: 15/3=5, Resulting Numbers: [4, 76, 5] Generated Node #2: [4, 76, 5] from Operation: 15/3=5 Current State: 76:[4, 76, 5], Operations: ['15/3=5'] Exploring Operation: 5-4=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 5-4=1 Current State: 76:[76, 1], Operations: ['15/3=5', '5-4=1'] Exploring Operation: 76*1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 45, 55, 49, 38 ]
68
[ "49-45=4", "55-38=17", "4*17=68" ]
Current State: 68:[45, 55, 49, 38], Operations: [] Exploring Operation: 49-45=4, Resulting Numbers: [55, 38, 4] Generated Node #2: [55, 38, 4] from Operation: 49-45=4 Current State: 68:[55, 38, 4], Operations: ['49-45=4'] Exploring Operation: 55-38=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 55-38=17 Current State: 68:[4, 17], Operations: ['49-45=4', '55-38=17'] Exploring Operation: 4*17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 23, 45, 30, 39 ]
75
[ "45*39=1755", "1755-30=1725", "1725/23=75" ]
Current State: 75:[23, 45, 30, 39], Operations: [] Exploring Operation: 45*39=1755, Resulting Numbers: [23, 30, 1755] Generated Node #2: [23, 30, 1755] from Operation: 45*39=1755 Current State: 75:[23, 30, 1755], Operations: ['45*39=1755'] Exploring Operation: 1755-30=1725, Resulting Numbers: [23, 1725] Generated Node #3: [23, 1725] from Operation: 1755-30=1725 Current State: 75:[23, 1725], Operations: ['45*39=1755', '1755-30=1725'] Exploring Operation: 1725/23=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 17, 67, 16, 65 ]
31
[ "67-17=50", "16+65=81", "81-50=31" ]
Current State: 31:[17, 67, 16, 65], Operations: [] Exploring Operation: 67-17=50, Resulting Numbers: [16, 65, 50] Generated Node #2: [16, 65, 50] from Operation: 67-17=50 Current State: 31:[16, 65, 50], Operations: ['67-17=50'] Exploring Operation: 16+65=81, Resulting Numbers: [50, 81] Generated Node #3: [50, 81] from Operation: 16+65=81 Current State: 31:[50, 81], Operations: ['67-17=50', '16+65=81'] Exploring Operation: 81-50=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 10, 96, 57, 44 ]
93
[ "10+96=106", "57-44=13", "106-13=93" ]
Current State: 93:[10, 96, 57, 44], Operations: [] Exploring Operation: 10+96=106, Resulting Numbers: [57, 44, 106] Generated Node #2: [57, 44, 106] from Operation: 10+96=106 Current State: 93:[57, 44, 106], Operations: ['10+96=106'] Exploring Operation: 57-44=13, Resulting Numbers: [106, 13] Generated Node #3: [106, 13] from Operation: 57-44=13 Current State: 93:[106, 13], Operations: ['10+96=106', '57-44=13'] Exploring Operation: 106-13=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 8, 26, 2, 68 ]
59
[ "26-8=18", "18/2=9", "68-9=59" ]
Current State: 59:[8, 26, 2, 68], Operations: [] Exploring Operation: 26-8=18, Resulting Numbers: [2, 68, 18] Generated Node #2: [2, 68, 18] from Operation: 26-8=18 Current State: 59:[2, 68, 18], Operations: ['26-8=18'] Exploring Operation: 18/2=9, Resulting Numbers: [68, 9] Generated Node #3: [68, 9] from Operation: 18/2=9 Current State: 59:[68, 9], Operations: ['26-8=18', '18/2=9'] Exploring Operation: 68-9=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 3, 83, 64, 31 ]
78
[ "3*64=192", "83+31=114", "192-114=78" ]
Current State: 78:[3, 83, 64, 31], Operations: [] Exploring Operation: 3*64=192, Resulting Numbers: [83, 31, 192] Generated Node #2: [83, 31, 192] from Operation: 3*64=192 Current State: 78:[83, 31, 192], Operations: ['3*64=192'] Exploring Operation: 83+31=114, Resulting Numbers: [192, 114] Generated Node #3: [192, 114] from Operation: 83+31=114 Current State: 78:[192, 114], Operations: ['3*64=192', '83+31=114'] Exploring Operation: 192-114=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 5, 75, 70, 54 ]
79
[ "75-70=5", "5*5=25", "54+25=79" ]
Current State: 79:[5, 75, 70, 54], Operations: [] Exploring Operation: 75-70=5, Resulting Numbers: [5, 54, 5] Generated Node #2: [5, 54, 5] from Operation: 75-70=5 Current State: 79:[5, 54, 5], Operations: ['75-70=5'] Exploring Operation: 5*5=25, Resulting Numbers: [54, 25] Generated Node #3: [54, 25] from Operation: 5*5=25 Current State: 79:[54, 25], Operations: ['75-70=5', '5*5=25'] Exploring Operation: 54+25=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 60, 20, 29, 5 ]
33
[ "20-5=15", "60/15=4", "29+4=33" ]
Current State: 33:[60, 20, 29, 5], Operations: [] Exploring Operation: 20-5=15, Resulting Numbers: [60, 29, 15] Generated Node #2: [60, 29, 15] from Operation: 20-5=15 Current State: 33:[60, 29, 15], Operations: ['20-5=15'] Exploring Operation: 60/15=4, Resulting Numbers: [29, 4] Generated Node #3: [29, 4] from Operation: 60/15=4 Current State: 33:[29, 4], Operations: ['20-5=15', '60/15=4'] Exploring Operation: 29+4=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 16, 10, 77, 3 ]
31
[ "77-16=61", "10*3=30", "61-30=31" ]
Current State: 31:[16, 10, 77, 3], Operations: [] Exploring Operation: 77-16=61, Resulting Numbers: [10, 3, 61] Generated Node #2: [10, 3, 61] from Operation: 77-16=61 Current State: 31:[10, 3, 61], Operations: ['77-16=61'] Exploring Operation: 10*3=30, Resulting Numbers: [61, 30] Generated Node #3: [61, 30] from Operation: 10*3=30 Current State: 31:[61, 30], Operations: ['77-16=61', '10*3=30'] Exploring Operation: 61-30=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 41, 14, 96, 68 ]
43
[ "96-68=28", "28/14=2", "41+2=43" ]
Current State: 43:[41, 14, 96, 68], Operations: [] Exploring Operation: 96-68=28, Resulting Numbers: [41, 14, 28] Generated Node #2: [41, 14, 28] from Operation: 96-68=28 Current State: 43:[41, 14, 28], Operations: ['96-68=28'] Exploring Operation: 28/14=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 28/14=2 Current State: 43:[41, 2], Operations: ['96-68=28', '28/14=2'] Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 44, 44, 51, 82 ]
18
[ "51-44=7", "44+82=126", "126/7=18" ]
Current State: 18:[44, 44, 51, 82], Operations: [] Exploring Operation: 51-44=7, Resulting Numbers: [82, 7] Generated Node #2: [82, 7] from Operation: 51-44=7 Current State: 18:[82, 7], Operations: ['51-44=7'] Exploring Operation: 44+82=126, Resulting Numbers: [7, 126] Generated Node #3: [7, 126] from Operation: 44+82=126 Current State: 18:[7, 126], Operations: ['51-44=7', '44+82=126'] Exploring Operation: 126/7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 31, 8, 3, 9 ]
13
[ "31+8=39", "9/3=3", "39/3=13" ]
Current State: 13:[31, 8, 3, 9], Operations: [] Exploring Operation: 31+8=39, Resulting Numbers: [3, 9, 39] Generated Node #2: [3, 9, 39] from Operation: 31+8=39 Current State: 13:[3, 9, 39], Operations: ['31+8=39'] Exploring Operation: 9/3=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 9/3=3 Current State: 13:[39, 3], Operations: ['31+8=39', '9/3=3'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 74, 61, 32, 83 ]
84
[ "74+61=135", "83-32=51", "135-51=84" ]
Current State: 84:[74, 61, 32, 83], Operations: [] Exploring Operation: 74+61=135, Resulting Numbers: [32, 83, 135] Generated Node #2: [32, 83, 135] from Operation: 74+61=135 Current State: 84:[32, 83, 135], Operations: ['74+61=135'] Exploring Operation: 83-32=51, Resulting Numbers: [135, 51] Generated Node #3: [135, 51] from Operation: 83-32=51 Current State: 84:[135, 51], Operations: ['74+61=135', '83-32=51'] Exploring Operation: 135-51=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 46, 22, 50 ]
34
[ "50-46=4", "3*4=12", "22+12=34" ]
Current State: 34:[3, 46, 22, 50], Operations: [] Exploring Operation: 50-46=4, Resulting Numbers: [3, 22, 4] Generated Node #2: [3, 22, 4] from Operation: 50-46=4 Current State: 34:[3, 22, 4], Operations: ['50-46=4'] Exploring Operation: 3*4=12, Resulting Numbers: [22, 12] Generated Node #3: [22, 12] from Operation: 3*4=12 Current State: 34:[22, 12], Operations: ['50-46=4', '3*4=12'] Exploring Operation: 22+12=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 96, 34, 70, 1 ]
98
[ "34+1=35", "70/35=2", "96+2=98" ]
Current State: 98:[96, 34, 70, 1], Operations: [] Exploring Operation: 34+1=35, Resulting Numbers: [96, 70, 35] Generated Node #2: [96, 70, 35] from Operation: 34+1=35 Current State: 98:[96, 70, 35], Operations: ['34+1=35'] Exploring Operation: 70/35=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 70/35=2 Current State: 98:[96, 2], Operations: ['34+1=35', '70/35=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 29, 63, 98, 37 ]
58
[ "98-63=35", "37-35=2", "29*2=58" ]
Current State: 58:[29, 63, 98, 37], Operations: [] Exploring Operation: 98-63=35, Resulting Numbers: [29, 37, 35] Generated Node #2: [29, 37, 35] from Operation: 98-63=35 Current State: 58:[29, 37, 35], Operations: ['98-63=35'] Exploring Operation: 37-35=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 37-35=2 Current State: 58:[29, 2], Operations: ['98-63=35', '37-35=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 68, 19, 96, 47 ]
94
[ "68-19=49", "96+47=143", "143-49=94" ]
Current State: 94:[68, 19, 96, 47], Operations: [] Exploring Operation: 68-19=49, Resulting Numbers: [96, 47, 49] Generated Node #2: [96, 47, 49] from Operation: 68-19=49 Current State: 94:[96, 47, 49], Operations: ['68-19=49'] Exploring Operation: 96+47=143, Resulting Numbers: [49, 143] Generated Node #3: [49, 143] from Operation: 96+47=143 Current State: 94:[49, 143], Operations: ['68-19=49', '96+47=143'] Exploring Operation: 143-49=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 75, 75, 60, 23 ]
60
[ "75-75=0", "23*0=0", "60+0=60" ]
Current State: 60:[75, 75, 60, 23], Operations: [] Exploring Operation: 75-75=0, Resulting Numbers: [60, 23, 0] Generated Node #2: [60, 23, 0] from Operation: 75-75=0 Current State: 60:[60, 23, 0], Operations: ['75-75=0'] Exploring Operation: 23*0=0, Resulting Numbers: [60, 0] Generated Node #3: [60, 0] from Operation: 23*0=0 Current State: 60:[60, 0], Operations: ['75-75=0', '23*0=0'] Exploring Operation: 60+0=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 69, 75, 42, 32 ]
80
[ "75-69=6", "42+32=74", "6+74=80" ]
Current State: 80:[69, 75, 42, 32], Operations: [] Exploring Operation: 75-69=6, Resulting Numbers: [42, 32, 6] Generated Node #2: [42, 32, 6] from Operation: 75-69=6 Current State: 80:[42, 32, 6], Operations: ['75-69=6'] Exploring Operation: 42+32=74, Resulting Numbers: [6, 74] Generated Node #3: [6, 74] from Operation: 42+32=74 Current State: 80:[6, 74], Operations: ['75-69=6', '42+32=74'] Exploring Operation: 6+74=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 8, 46, 10, 74 ]
83
[ "10-8=2", "74/2=37", "46+37=83" ]
Current State: 83:[8, 46, 10, 74], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [46, 74, 2] Generated Node #2: [46, 74, 2] from Operation: 10-8=2 Current State: 83:[46, 74, 2], Operations: ['10-8=2'] Exploring Operation: 74/2=37, Resulting Numbers: [46, 37] Generated Node #3: [46, 37] from Operation: 74/2=37 Current State: 83:[46, 37], Operations: ['10-8=2', '74/2=37'] Exploring Operation: 46+37=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 74, 93, 95, 30 ]
84
[ "93-74=19", "95-30=65", "19+65=84" ]
Current State: 84:[74, 93, 95, 30], Operations: [] Exploring Operation: 93-74=19, Resulting Numbers: [95, 30, 19] Generated Node #2: [95, 30, 19] from Operation: 93-74=19 Current State: 84:[95, 30, 19], Operations: ['93-74=19'] Exploring Operation: 95-30=65, Resulting Numbers: [19, 65] Generated Node #3: [19, 65] from Operation: 95-30=65 Current State: 84:[19, 65], Operations: ['93-74=19', '95-30=65'] Exploring Operation: 19+65=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 15, 23, 19, 8 ]
10
[ "15+23=38", "38/19=2", "8+2=10" ]
Current State: 10:[15, 23, 19, 8], Operations: [] Exploring Operation: 15+23=38, Resulting Numbers: [19, 8, 38] Generated Node #2: [19, 8, 38] from Operation: 15+23=38 Current State: 10:[19, 8, 38], Operations: ['15+23=38'] Exploring Operation: 38/19=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 38/19=2 Current State: 10:[8, 2], Operations: ['15+23=38', '38/19=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 54, 4, 22, 28 ]
30
[ "28-22=6", "4*6=24", "54-24=30" ]
Current State: 30:[54, 4, 22, 28], Operations: [] Exploring Operation: 28-22=6, Resulting Numbers: [54, 4, 6] Generated Node #2: [54, 4, 6] from Operation: 28-22=6 Current State: 30:[54, 4, 6], Operations: ['28-22=6'] Exploring Operation: 4*6=24, Resulting Numbers: [54, 24] Generated Node #3: [54, 24] from Operation: 4*6=24 Current State: 30:[54, 24], Operations: ['28-22=6', '4*6=24'] Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 21, 42, 38, 29 ]
47
[ "42/21=2", "38*2=76", "76-29=47" ]
Current State: 47:[21, 42, 38, 29], Operations: [] Exploring Operation: 42/21=2, Resulting Numbers: [38, 29, 2] Generated Node #2: [38, 29, 2] from Operation: 42/21=2 Current State: 47:[38, 29, 2], Operations: ['42/21=2'] Exploring Operation: 38*2=76, Resulting Numbers: [29, 76] Generated Node #3: [29, 76] from Operation: 38*2=76 Current State: 47:[29, 76], Operations: ['42/21=2', '38*2=76'] Exploring Operation: 76-29=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 51, 80, 24, 26 ]
79
[ "80-51=29", "24+26=50", "29+50=79" ]
Current State: 79:[51, 80, 24, 26], Operations: [] Exploring Operation: 80-51=29, Resulting Numbers: [24, 26, 29] Generated Node #2: [24, 26, 29] from Operation: 80-51=29 Current State: 79:[24, 26, 29], Operations: ['80-51=29'] Exploring Operation: 24+26=50, Resulting Numbers: [29, 50] Generated Node #3: [29, 50] from Operation: 24+26=50 Current State: 79:[29, 50], Operations: ['80-51=29', '24+26=50'] Exploring Operation: 29+50=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 64, 95, 4, 27 ]
84
[ "64/4=16", "95-27=68", "16+68=84" ]
Current State: 84:[64, 95, 4, 27], Operations: [] Exploring Operation: 64/4=16, Resulting Numbers: [95, 27, 16] Generated Node #2: [95, 27, 16] from Operation: 64/4=16 Current State: 84:[95, 27, 16], Operations: ['64/4=16'] Exploring Operation: 95-27=68, Resulting Numbers: [16, 68] Generated Node #3: [16, 68] from Operation: 95-27=68 Current State: 84:[16, 68], Operations: ['64/4=16', '95-27=68'] Exploring Operation: 16+68=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 35, 85, 10, 49 ]
61
[ "35+85=120", "10+49=59", "120-59=61" ]
Current State: 61:[35, 85, 10, 49], Operations: [] Exploring Operation: 35+85=120, Resulting Numbers: [10, 49, 120] Generated Node #2: [10, 49, 120] from Operation: 35+85=120 Current State: 61:[10, 49, 120], Operations: ['35+85=120'] Exploring Operation: 10+49=59, Resulting Numbers: [120, 59] Generated Node #3: [120, 59] from Operation: 10+49=59 Current State: 61:[120, 59], Operations: ['35+85=120', '10+49=59'] Exploring Operation: 120-59=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 55, 32, 63, 20 ]
24
[ "63-55=8", "32/8=4", "20+4=24" ]
Current State: 24:[55, 32, 63, 20], Operations: [] Exploring Operation: 63-55=8, Resulting Numbers: [32, 20, 8] Generated Node #2: [32, 20, 8] from Operation: 63-55=8 Current State: 24:[32, 20, 8], Operations: ['63-55=8'] Exploring Operation: 32/8=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 32/8=4 Current State: 24:[20, 4], Operations: ['63-55=8', '32/8=4'] Exploring Operation: 20+4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 16, 11, 8, 5 ]
29
[ "16-8=8", "5*8=40", "40-11=29" ]
Current State: 29:[16, 11, 8, 5], Operations: [] Exploring Operation: 16-8=8, Resulting Numbers: [11, 5, 8] Generated Node #2: [11, 5, 8] from Operation: 16-8=8 Current State: 29:[11, 5, 8], Operations: ['16-8=8'] Exploring Operation: 5*8=40, Resulting Numbers: [11, 40] Generated Node #3: [11, 40] from Operation: 5*8=40 Current State: 29:[11, 40], Operations: ['16-8=8', '5*8=40'] Exploring Operation: 40-11=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 32, 38, 4, 8 ]
46
[ "32/8=4", "38+4=42", "4+42=46" ]
Current State: 46:[32, 38, 4, 8], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [38, 4, 4] Generated Node #2: [38, 4, 4] from Operation: 32/8=4 Current State: 46:[38, 4, 4], Operations: ['32/8=4'] Exploring Operation: 38+4=42, Resulting Numbers: [42] 42,46 equal: Goal Reached Exploring Operation: 4+42=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 11, 12, 56, 14 ]
52
[ "14-11=3", "12/3=4", "56-4=52" ]
Current State: 52:[11, 12, 56, 14], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [12, 56, 3] Generated Node #2: [12, 56, 3] from Operation: 14-11=3 Current State: 52:[12, 56, 3], Operations: ['14-11=3'] Exploring Operation: 12/3=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 12/3=4 Current State: 52:[56, 4], Operations: ['14-11=3', '12/3=4'] Exploring Operation: 56-4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 87, 48, 23 ]
80
[ "87-48=39", "39-23=16", "5*16=80" ]
Current State: 80:[5, 87, 48, 23], Operations: [] Exploring Operation: 87-48=39, Resulting Numbers: [5, 23, 39] Generated Node #2: [5, 23, 39] from Operation: 87-48=39 Current State: 80:[5, 23, 39], Operations: ['87-48=39'] Exploring Operation: 39-23=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 39-23=16 Current State: 80:[5, 16], Operations: ['87-48=39', '39-23=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 2, 40, 16, 27 ]
37
[ "2*40=80", "16+27=43", "80-43=37" ]
Current State: 37:[2, 40, 16, 27], Operations: [] Exploring Operation: 2*40=80, Resulting Numbers: [16, 27, 80] Generated Node #2: [16, 27, 80] from Operation: 2*40=80 Current State: 37:[16, 27, 80], Operations: ['2*40=80'] Exploring Operation: 16+27=43, Resulting Numbers: [80, 43] Generated Node #3: [80, 43] from Operation: 16+27=43 Current State: 37:[80, 43], Operations: ['2*40=80', '16+27=43'] Exploring Operation: 80-43=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 5, 55, 96, 21 ]
64
[ "55/5=11", "96-21=75", "75-11=64" ]
Current State: 64:[5, 55, 96, 21], Operations: [] Exploring Operation: 55/5=11, Resulting Numbers: [96, 21, 11] Generated Node #2: [96, 21, 11] from Operation: 55/5=11 Current State: 64:[96, 21, 11], Operations: ['55/5=11'] Exploring Operation: 96-21=75, Resulting Numbers: [11, 75] Generated Node #3: [11, 75] from Operation: 96-21=75 Current State: 64:[11, 75], Operations: ['55/5=11', '96-21=75'] Exploring Operation: 75-11=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 12, 96, 11, 95 ]
59
[ "12*11=132", "96+95=191", "191-132=59" ]
Current State: 59:[12, 96, 11, 95], Operations: [] Exploring Operation: 12*11=132, Resulting Numbers: [96, 95, 132] Generated Node #2: [96, 95, 132] from Operation: 12*11=132 Current State: 59:[96, 95, 132], Operations: ['12*11=132'] Exploring Operation: 96+95=191, Resulting Numbers: [132, 191] Generated Node #3: [132, 191] from Operation: 96+95=191 Current State: 59:[132, 191], Operations: ['12*11=132', '96+95=191'] Exploring Operation: 191-132=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 5, 4, 42, 38 ]
25
[ "42+38=80", "80/4=20", "5+20=25" ]
Current State: 25:[5, 4, 42, 38], Operations: [] Exploring Operation: 42+38=80, Resulting Numbers: [5, 4, 80] Generated Node #2: [5, 4, 80] from Operation: 42+38=80 Current State: 25:[5, 4, 80], Operations: ['42+38=80'] Exploring Operation: 80/4=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 80/4=20 Current State: 25:[5, 20], Operations: ['42+38=80', '80/4=20'] Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 1, 82, 19, 35 ]
27
[ "82-1=81", "19+35=54", "81-54=27" ]
Current State: 27:[1, 82, 19, 35], Operations: [] Exploring Operation: 82-1=81, Resulting Numbers: [19, 35, 81] Generated Node #2: [19, 35, 81] from Operation: 82-1=81 Current State: 27:[19, 35, 81], Operations: ['82-1=81'] Exploring Operation: 19+35=54, Resulting Numbers: [81, 54] Generated Node #3: [81, 54] from Operation: 19+35=54 Current State: 27:[81, 54], Operations: ['82-1=81', '19+35=54'] Exploring Operation: 81-54=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 25, 78, 8, 7 ]
52
[ "78-25=53", "8-7=1", "53-1=52" ]
Current State: 52:[25, 78, 8, 7], Operations: [] Exploring Operation: 78-25=53, Resulting Numbers: [8, 7, 53] Generated Node #2: [8, 7, 53] from Operation: 78-25=53 Current State: 52:[8, 7, 53], Operations: ['78-25=53'] Exploring Operation: 8-7=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 8-7=1 Current State: 52:[53, 1], Operations: ['78-25=53', '8-7=1'] Exploring Operation: 53-1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 14, 42, 94, 61 ]
36
[ "42/14=3", "94-61=33", "3+33=36" ]
Current State: 36:[14, 42, 94, 61], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [94, 61, 3] Generated Node #2: [94, 61, 3] from Operation: 42/14=3 Current State: 36:[94, 61, 3], Operations: ['42/14=3'] Exploring Operation: 94-61=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 94-61=33 Current State: 36:[3, 33], Operations: ['42/14=3', '94-61=33'] Exploring Operation: 3+33=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 31, 3, 89, 24 ]
68
[ "31-24=7", "3*7=21", "89-21=68" ]
Current State: 68:[31, 3, 89, 24], Operations: [] Exploring Operation: 31-24=7, Resulting Numbers: [3, 89, 7] Generated Node #2: [3, 89, 7] from Operation: 31-24=7 Current State: 68:[3, 89, 7], Operations: ['31-24=7'] Exploring Operation: 3*7=21, Resulting Numbers: [89, 21] Generated Node #3: [89, 21] from Operation: 3*7=21 Current State: 68:[89, 21], Operations: ['31-24=7', '3*7=21'] Exploring Operation: 89-21=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 76, 78, 67, 15 ]
97
[ "78-76=2", "15*2=30", "67+30=97" ]
Current State: 97:[76, 78, 67, 15], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [67, 15, 2] Generated Node #2: [67, 15, 2] from Operation: 78-76=2 Current State: 97:[67, 15, 2], Operations: ['78-76=2'] Exploring Operation: 15*2=30, Resulting Numbers: [67, 30] Generated Node #3: [67, 30] from Operation: 15*2=30 Current State: 97:[67, 30], Operations: ['78-76=2', '15*2=30'] Exploring Operation: 67+30=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 26, 59, 90, 15 ]
75
[ "26+59=85", "90-85=5", "15*5=75" ]
Current State: 75:[26, 59, 90, 15], Operations: [] Exploring Operation: 26+59=85, Resulting Numbers: [90, 15, 85] Generated Node #2: [90, 15, 85] from Operation: 26+59=85 Current State: 75:[90, 15, 85], Operations: ['26+59=85'] Exploring Operation: 90-85=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 90-85=5 Current State: 75:[15, 5], Operations: ['26+59=85', '90-85=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 15, 83, 30, 37 ]
10
[ "83+30=113", "37+113=150", "150/15=10" ]
Current State: 10:[15, 83, 30, 37], Operations: [] Exploring Operation: 83+30=113, Resulting Numbers: [15, 37, 113] Generated Node #2: [15, 37, 113] from Operation: 83+30=113 Current State: 10:[15, 37, 113], Operations: ['83+30=113'] Exploring Operation: 37+113=150, Resulting Numbers: [15, 150] Generated Node #3: [15, 150] from Operation: 37+113=150 Current State: 10:[15, 150], Operations: ['83+30=113', '37+113=150'] Exploring Operation: 150/15=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 23, 36, 79, 56 ]
35
[ "79-23=56", "56/56=1", "36-1=35" ]
Current State: 35:[23, 36, 79, 56], Operations: [] Exploring Operation: 79-23=56, Resulting Numbers: [36, 56, 56] Generated Node #2: [36, 56, 56] from Operation: 79-23=56 Current State: 35:[36, 56, 56], Operations: ['79-23=56'] Exploring Operation: 56/56=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 56/56=1 Current State: 35:[36, 1], Operations: ['79-23=56', '56/56=1'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 34, 65, 85, 30 ]
38
[ "65+30=95", "34*95=3230", "3230/85=38" ]
Current State: 38:[34, 65, 85, 30], Operations: [] Exploring Operation: 65+30=95, Resulting Numbers: [34, 85, 95] Generated Node #2: [34, 85, 95] from Operation: 65+30=95 Current State: 38:[34, 85, 95], Operations: ['65+30=95'] Exploring Operation: 34*95=3230, Resulting Numbers: [85, 3230] Generated Node #3: [85, 3230] from Operation: 34*95=3230 Current State: 38:[85, 3230], Operations: ['65+30=95', '34*95=3230'] Exploring Operation: 3230/85=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 39, 63, 29, 56 ]
70
[ "39-29=10", "63-56=7", "10*7=70" ]
Current State: 70:[39, 63, 29, 56], Operations: [] Exploring Operation: 39-29=10, Resulting Numbers: [63, 56, 10] Generated Node #2: [63, 56, 10] from Operation: 39-29=10 Current State: 70:[63, 56, 10], Operations: ['39-29=10'] Exploring Operation: 63-56=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 63-56=7 Current State: 70:[10, 7], Operations: ['39-29=10', '63-56=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 20, 12, 2, 19 ]
90
[ "20+19=39", "2*39=78", "12+78=90" ]
Current State: 90:[20, 12, 2, 19], Operations: [] Exploring Operation: 20+19=39, Resulting Numbers: [12, 2, 39] Generated Node #2: [12, 2, 39] from Operation: 20+19=39 Current State: 90:[12, 2, 39], Operations: ['20+19=39'] Exploring Operation: 2*39=78, Resulting Numbers: [12, 78] Generated Node #3: [12, 78] from Operation: 2*39=78 Current State: 90:[12, 78], Operations: ['20+19=39', '2*39=78'] Exploring Operation: 12+78=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 38, 92, 98, 20 ]
51
[ "92*20=1840", "98+1840=1938", "1938/38=51" ]
Current State: 51:[38, 92, 98, 20], Operations: [] Exploring Operation: 92*20=1840, Resulting Numbers: [38, 98, 1840] Generated Node #2: [38, 98, 1840] from Operation: 92*20=1840 Current State: 51:[38, 98, 1840], Operations: ['92*20=1840'] Exploring Operation: 98+1840=1938, Resulting Numbers: [38, 1938] Generated Node #3: [38, 1938] from Operation: 98+1840=1938 Current State: 51:[38, 1938], Operations: ['92*20=1840', '98+1840=1938'] Exploring Operation: 1938/38=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 41, 66, 18 ]
73
[ "2*66=132", "41+18=59", "132-59=73" ]
Current State: 73:[2, 41, 66, 18], Operations: [] Exploring Operation: 2*66=132, Resulting Numbers: [41, 18, 132] Generated Node #2: [41, 18, 132] from Operation: 2*66=132 Current State: 73:[41, 18, 132], Operations: ['2*66=132'] Exploring Operation: 41+18=59, Resulting Numbers: [132, 59] Generated Node #3: [132, 59] from Operation: 41+18=59 Current State: 73:[132, 59], Operations: ['2*66=132', '41+18=59'] Exploring Operation: 132-59=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 31, 11, 1, 45 ]
87
[ "31+11=42", "1*45=45", "42+45=87" ]
Current State: 87:[31, 11, 1, 45], Operations: [] Exploring Operation: 31+11=42, Resulting Numbers: [1, 45, 42] Generated Node #2: [1, 45, 42] from Operation: 31+11=42 Current State: 87:[1, 45, 42], Operations: ['31+11=42'] Exploring Operation: 1*45=45, Resulting Numbers: [42, 45] Generated Node #3: [42, 45] from Operation: 1*45=45 Current State: 87:[42, 45], Operations: ['31+11=42', '1*45=45'] Exploring Operation: 42+45=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 14, 58, 4, 97 ]
86
[ "58-14=44", "44/4=11", "97-11=86" ]
Current State: 86:[14, 58, 4, 97], Operations: [] Exploring Operation: 58-14=44, Resulting Numbers: [4, 97, 44] Generated Node #2: [4, 97, 44] from Operation: 58-14=44 Current State: 86:[4, 97, 44], Operations: ['58-14=44'] Exploring Operation: 44/4=11, Resulting Numbers: [97, 11] Generated Node #3: [97, 11] from Operation: 44/4=11 Current State: 86:[97, 11], Operations: ['58-14=44', '44/4=11'] Exploring Operation: 97-11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 94, 13, 58, 24 ]
25
[ "94+13=107", "58+24=82", "107-82=25" ]
Current State: 25:[94, 13, 58, 24], Operations: [] Exploring Operation: 94+13=107, Resulting Numbers: [58, 24, 107] Generated Node #2: [58, 24, 107] from Operation: 94+13=107 Current State: 25:[58, 24, 107], Operations: ['94+13=107'] Exploring Operation: 58+24=82, Resulting Numbers: [107, 82] Generated Node #3: [107, 82] from Operation: 58+24=82 Current State: 25:[107, 82], Operations: ['94+13=107', '58+24=82'] Exploring Operation: 107-82=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 84, 4, 27, 19 ]
21
[ "27-4=23", "23-19=4", "84/4=21" ]
Current State: 21:[84, 4, 27, 19], Operations: [] Exploring Operation: 27-4=23, Resulting Numbers: [84, 19, 23] Generated Node #2: [84, 19, 23] from Operation: 27-4=23 Current State: 21:[84, 19, 23], Operations: ['27-4=23'] Exploring Operation: 23-19=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 23-19=4 Current State: 21:[84, 4], Operations: ['27-4=23', '23-19=4'] Exploring Operation: 84/4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 96, 72, 81, 76 ]
24
[ "72*76=5472", "5472/96=57", "81-57=24" ]
Current State: 24:[96, 72, 81, 76], Operations: [] Exploring Operation: 72*76=5472, Resulting Numbers: [96, 81, 5472] Generated Node #2: [96, 81, 5472] from Operation: 72*76=5472 Current State: 24:[96, 81, 5472], Operations: ['72*76=5472'] Exploring Operation: 5472/96=57, Resulting Numbers: [81, 57] Generated Node #3: [81, 57] from Operation: 5472/96=57 Current State: 24:[81, 57], Operations: ['72*76=5472', '5472/96=57'] Exploring Operation: 81-57=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 14, 78, 78, 84 ]
58
[ "78-14=64", "84-78=6", "64-6=58" ]
Current State: 58:[14, 78, 78, 84], Operations: [] Exploring Operation: 78-14=64, Resulting Numbers: [84, 64] Generated Node #2: [84, 64] from Operation: 78-14=64 Current State: 58:[84, 64], Operations: ['78-14=64'] Exploring Operation: 84-78=6, Resulting Numbers: [64, 6] Generated Node #3: [64, 6] from Operation: 84-78=6 Current State: 58:[64, 6], Operations: ['78-14=64', '84-78=6'] Exploring Operation: 64-6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 19, 83, 33, 82 ]
95
[ "83+82=165", "19*165=3135", "3135/33=95" ]
Current State: 95:[19, 83, 33, 82], Operations: [] Exploring Operation: 83+82=165, Resulting Numbers: [19, 33, 165] Generated Node #2: [19, 33, 165] from Operation: 83+82=165 Current State: 95:[19, 33, 165], Operations: ['83+82=165'] Exploring Operation: 19*165=3135, Resulting Numbers: [33, 3135] Generated Node #3: [33, 3135] from Operation: 19*165=3135 Current State: 95:[33, 3135], Operations: ['83+82=165', '19*165=3135'] Exploring Operation: 3135/33=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 49, 93, 27, 81 ]
34
[ "49+93=142", "27+81=108", "142-108=34" ]
Current State: 34:[49, 93, 27, 81], Operations: [] Exploring Operation: 49+93=142, Resulting Numbers: [27, 81, 142] Generated Node #2: [27, 81, 142] from Operation: 49+93=142 Current State: 34:[27, 81, 142], Operations: ['49+93=142'] Exploring Operation: 27+81=108, Resulting Numbers: [142, 108] Generated Node #3: [142, 108] from Operation: 27+81=108 Current State: 34:[142, 108], Operations: ['49+93=142', '27+81=108'] Exploring Operation: 142-108=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 20, 11, 72, 88 ]
47
[ "20+11=31", "88-72=16", "31+16=47" ]
Current State: 47:[20, 11, 72, 88], Operations: [] Exploring Operation: 20+11=31, Resulting Numbers: [72, 88, 31] Generated Node #2: [72, 88, 31] from Operation: 20+11=31 Current State: 47:[72, 88, 31], Operations: ['20+11=31'] Exploring Operation: 88-72=16, Resulting Numbers: [31, 16] Generated Node #3: [31, 16] from Operation: 88-72=16 Current State: 47:[31, 16], Operations: ['20+11=31', '88-72=16'] Exploring Operation: 31+16=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 29, 56, 85, 17 ]
95
[ "56-29=27", "85-17=68", "27+68=95" ]
Current State: 95:[29, 56, 85, 17], Operations: [] Exploring Operation: 56-29=27, Resulting Numbers: [85, 17, 27] Generated Node #2: [85, 17, 27] from Operation: 56-29=27 Current State: 95:[85, 17, 27], Operations: ['56-29=27'] Exploring Operation: 85-17=68, Resulting Numbers: [27, 68] Generated Node #3: [27, 68] from Operation: 85-17=68 Current State: 95:[27, 68], Operations: ['56-29=27', '85-17=68'] Exploring Operation: 27+68=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 90, 78, 87, 29 ]
52
[ "90+78=168", "87+29=116", "168-116=52" ]
Current State: 52:[90, 78, 87, 29], Operations: [] Exploring Operation: 90+78=168, Resulting Numbers: [87, 29, 168] Generated Node #2: [87, 29, 168] from Operation: 90+78=168 Current State: 52:[87, 29, 168], Operations: ['90+78=168'] Exploring Operation: 87+29=116, Resulting Numbers: [168, 116] Generated Node #3: [168, 116] from Operation: 87+29=116 Current State: 52:[168, 116], Operations: ['90+78=168', '87+29=116'] Exploring Operation: 168-116=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 3, 92, 39, 67 ]
70
[ "3*67=201", "92+39=131", "201-131=70" ]
Current State: 70:[3, 92, 39, 67], Operations: [] Exploring Operation: 3*67=201, Resulting Numbers: [92, 39, 201] Generated Node #2: [92, 39, 201] from Operation: 3*67=201 Current State: 70:[92, 39, 201], Operations: ['3*67=201'] Exploring Operation: 92+39=131, Resulting Numbers: [201, 131] Generated Node #3: [201, 131] from Operation: 92+39=131 Current State: 70:[201, 131], Operations: ['3*67=201', '92+39=131'] Exploring Operation: 201-131=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 62, 53, 51, 25 ]
89
[ "62+53=115", "51-25=26", "115-26=89" ]
Current State: 89:[62, 53, 51, 25], Operations: [] Exploring Operation: 62+53=115, Resulting Numbers: [51, 25, 115] Generated Node #2: [51, 25, 115] from Operation: 62+53=115 Current State: 89:[51, 25, 115], Operations: ['62+53=115'] Exploring Operation: 51-25=26, Resulting Numbers: [115, 26] Generated Node #3: [115, 26] from Operation: 51-25=26 Current State: 89:[115, 26], Operations: ['62+53=115', '51-25=26'] Exploring Operation: 115-26=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 18, 3, 60, 66 ]
92
[ "18+60=78", "78/3=26", "66+26=92" ]
Current State: 92:[18, 3, 60, 66], Operations: [] Exploring Operation: 18+60=78, Resulting Numbers: [3, 66, 78] Generated Node #2: [3, 66, 78] from Operation: 18+60=78 Current State: 92:[3, 66, 78], Operations: ['18+60=78'] Exploring Operation: 78/3=26, Resulting Numbers: [66, 26] Generated Node #3: [66, 26] from Operation: 78/3=26 Current State: 92:[66, 26], Operations: ['18+60=78', '78/3=26'] Exploring Operation: 66+26=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 44, 17, 11, 47 ]
97
[ "44+17=61", "47-11=36", "61+36=97" ]
Current State: 97:[44, 17, 11, 47], Operations: [] Exploring Operation: 44+17=61, Resulting Numbers: [11, 47, 61] Generated Node #2: [11, 47, 61] from Operation: 44+17=61 Current State: 97:[11, 47, 61], Operations: ['44+17=61'] Exploring Operation: 47-11=36, Resulting Numbers: [61, 36] Generated Node #3: [61, 36] from Operation: 47-11=36 Current State: 97:[61, 36], Operations: ['44+17=61', '47-11=36'] Exploring Operation: 61+36=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 83, 45, 25, 93 ]
10
[ "83+45=128", "25+93=118", "128-118=10" ]
Current State: 10:[83, 45, 25, 93], Operations: [] Exploring Operation: 83+45=128, Resulting Numbers: [25, 93, 128] Generated Node #2: [25, 93, 128] from Operation: 83+45=128 Current State: 10:[25, 93, 128], Operations: ['83+45=128'] Exploring Operation: 25+93=118, Resulting Numbers: [128, 118] Generated Node #3: [128, 118] from Operation: 25+93=118 Current State: 10:[128, 118], Operations: ['83+45=128', '25+93=118'] Exploring Operation: 128-118=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 61, 18, 1, 66 ]
24
[ "61-18=43", "1+66=67", "67-43=24" ]
Current State: 24:[61, 18, 1, 66], Operations: [] Exploring Operation: 61-18=43, Resulting Numbers: [1, 66, 43] Generated Node #2: [1, 66, 43] from Operation: 61-18=43 Current State: 24:[1, 66, 43], Operations: ['61-18=43'] Exploring Operation: 1+66=67, Resulting Numbers: [43, 67] Generated Node #3: [43, 67] from Operation: 1+66=67 Current State: 24:[43, 67], Operations: ['61-18=43', '1+66=67'] Exploring Operation: 67-43=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4