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
[ 10, 66, 87, 27 ]
72
[ "87-27=60", "60/10=6", "66+6=72" ]
Current State: 72:[10, 66, 87, 27], Operations: [] Exploring Operation: 87-27=60, Resulting Numbers: [10, 66, 60] Generated Node #2: [10, 66, 60] from Operation: 87-27=60 Current State: 72:[10, 66, 60], Operations: ['87-27=60'] Exploring Operation: 60/10=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 60/10=6 Current State: 72:[66, 6], Operations: ['87-27=60', '60/10=6'] Exploring Operation: 66+6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 39, 27, 18, 11 ]
57
[ "39*11=429", "27*18=486", "486-429=57" ]
Current State: 57:[39, 27, 18, 11], Operations: [] Exploring Operation: 39*11=429, Resulting Numbers: [27, 18, 429] Generated Node #2: [27, 18, 429] from Operation: 39*11=429 Current State: 57:[27, 18, 429], Operations: ['39*11=429'] Exploring Operation: 27*18=486, Resulting Numbers: [429, 486] Generated Node #3: [429, 486] from Operation: 27*18=486 Current State: 57:[429, 486], Operations: ['39*11=429', '27*18=486'] Exploring Operation: 486-429=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 91, 32, 33, 34 ]
25
[ "34-32=2", "33*2=66", "91-66=25" ]
Current State: 25:[91, 32, 33, 34], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [91, 33, 2] Generated Node #2: [91, 33, 2] from Operation: 34-32=2 Current State: 25:[91, 33, 2], Operations: ['34-32=2'] Exploring Operation: 33*2=66, Resulting Numbers: [91, 66] Generated Node #3: [91, 66] from Operation: 33*2=66 Current State: 25:[91, 66], Operations: ['34-32=2', '33*2=66'] Exploring Operation: 91-66=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 99, 4, 12, 6 ]
45
[ "99-6=93", "4*12=48", "93-48=45" ]
Current State: 45:[99, 4, 12, 6], Operations: [] Exploring Operation: 99-6=93, Resulting Numbers: [4, 12, 93] Generated Node #2: [4, 12, 93] from Operation: 99-6=93 Current State: 45:[4, 12, 93], Operations: ['99-6=93'] Exploring Operation: 4*12=48, Resulting Numbers: [93, 48] Generated Node #3: [93, 48] from Operation: 4*12=48 Current State: 45:[93, 48], Operations: ['99-6=93', '4*12=48'] Exploring Operation: 93-48=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 51, 71, 92, 28 ]
75
[ "51-28=23", "92/23=4", "71+4=75" ]
Current State: 75:[51, 71, 92, 28], Operations: [] Exploring Operation: 51-28=23, Resulting Numbers: [71, 92, 23] Generated Node #2: [71, 92, 23] from Operation: 51-28=23 Current State: 75:[71, 92, 23], Operations: ['51-28=23'] Exploring Operation: 92/23=4, Resulting Numbers: [71, 4] Generated Node #3: [71, 4] from Operation: 92/23=4 Current State: 75:[71, 4], Operations: ['51-28=23', '92/23=4'] Exploring Operation: 71+4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 38, 60, 6, 31 ]
73
[ "38+60=98", "31-6=25", "98-25=73" ]
Current State: 73:[38, 60, 6, 31], Operations: [] Exploring Operation: 38+60=98, Resulting Numbers: [6, 31, 98] Generated Node #2: [6, 31, 98] from Operation: 38+60=98 Current State: 73:[6, 31, 98], Operations: ['38+60=98'] Exploring Operation: 31-6=25, Resulting Numbers: [98, 25] Generated Node #3: [98, 25] from Operation: 31-6=25 Current State: 73:[98, 25], Operations: ['38+60=98', '31-6=25'] Exploring Operation: 98-25=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 10, 10, 18, 27 ]
80
[ "27-18=9", "10*9=90", "90-10=80" ]
Current State: 80:[10, 10, 18, 27], Operations: [] Exploring Operation: 27-18=9, Resulting Numbers: [10, 10, 9] Generated Node #2: [10, 10, 9] from Operation: 27-18=9 Current State: 80:[10, 10, 9], Operations: ['27-18=9'] Exploring Operation: 10*9=90, Resulting Numbers: [90] 90,80 equal: Goal Reached Exploring Operation: 90-10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 71, 4, 95, 60 ]
69
[ "95-60=35", "4*35=140", "140-71=69" ]
Current State: 69:[71, 4, 95, 60], Operations: [] Exploring Operation: 95-60=35, Resulting Numbers: [71, 4, 35] Generated Node #2: [71, 4, 35] from Operation: 95-60=35 Current State: 69:[71, 4, 35], Operations: ['95-60=35'] Exploring Operation: 4*35=140, Resulting Numbers: [71, 140] Generated Node #3: [71, 140] from Operation: 4*35=140 Current State: 69:[71, 140], Operations: ['95-60=35', '4*35=140'] Exploring Operation: 140-71=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 76, 29, 19, 35 ]
57
[ "76+29=105", "19*105=1995", "1995/35=57" ]
Current State: 57:[76, 29, 19, 35], Operations: [] Exploring Operation: 76+29=105, Resulting Numbers: [19, 35, 105] Generated Node #2: [19, 35, 105] from Operation: 76+29=105 Current State: 57:[19, 35, 105], Operations: ['76+29=105'] Exploring Operation: 19*105=1995, Resulting Numbers: [35, 1995] Generated Node #3: [35, 1995] from Operation: 19*105=1995 Current State: 57:[35, 1995], Operations: ['76+29=105', '19*105=1995'] Exploring Operation: 1995/35=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 49, 90, 78, 35 ]
48
[ "49*90=4410", "4410/35=126", "126-78=48" ]
Current State: 48:[49, 90, 78, 35], Operations: [] Exploring Operation: 49*90=4410, Resulting Numbers: [78, 35, 4410] Generated Node #2: [78, 35, 4410] from Operation: 49*90=4410 Current State: 48:[78, 35, 4410], Operations: ['49*90=4410'] Exploring Operation: 4410/35=126, Resulting Numbers: [78, 126] Generated Node #3: [78, 126] from Operation: 4410/35=126 Current State: 48:[78, 126], Operations: ['49*90=4410', '4410/35=126'] Exploring Operation: 126-78=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 23, 4, 96, 93 ]
30
[ "23+4=27", "96-93=3", "27+3=30" ]
Current State: 30:[23, 4, 96, 93], Operations: [] Exploring Operation: 23+4=27, Resulting Numbers: [96, 93, 27] Generated Node #2: [96, 93, 27] from Operation: 23+4=27 Current State: 30:[96, 93, 27], Operations: ['23+4=27'] Exploring Operation: 96-93=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 96-93=3 Current State: 30:[27, 3], Operations: ['23+4=27', '96-93=3'] Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 70, 43, 66 ]
12
[ "70/2=35", "66-43=23", "35-23=12" ]
Current State: 12:[2, 70, 43, 66], Operations: [] Exploring Operation: 70/2=35, Resulting Numbers: [43, 66, 35] Generated Node #2: [43, 66, 35] from Operation: 70/2=35 Current State: 12:[43, 66, 35], Operations: ['70/2=35'] Exploring Operation: 66-43=23, Resulting Numbers: [35, 23] Generated Node #3: [35, 23] from Operation: 66-43=23 Current State: 12:[35, 23], Operations: ['70/2=35', '66-43=23'] Exploring Operation: 35-23=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 35, 95, 19, 13 ]
100
[ "95/19=5", "13*5=65", "35+65=100" ]
Current State: 100:[35, 95, 19, 13], Operations: [] Exploring Operation: 95/19=5, Resulting Numbers: [35, 13, 5] Generated Node #2: [35, 13, 5] from Operation: 95/19=5 Current State: 100:[35, 13, 5], Operations: ['95/19=5'] Exploring Operation: 13*5=65, Resulting Numbers: [35, 65] Generated Node #3: [35, 65] from Operation: 13*5=65 Current State: 100:[35, 65], Operations: ['95/19=5', '13*5=65'] Exploring Operation: 35+65=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 51, 2, 42, 81 ]
88
[ "51-2=49", "81-42=39", "49+39=88" ]
Current State: 88:[51, 2, 42, 81], Operations: [] Exploring Operation: 51-2=49, Resulting Numbers: [42, 81, 49] Generated Node #2: [42, 81, 49] from Operation: 51-2=49 Current State: 88:[42, 81, 49], Operations: ['51-2=49'] Exploring Operation: 81-42=39, Resulting Numbers: [49, 39] Generated Node #3: [49, 39] from Operation: 81-42=39 Current State: 88:[49, 39], Operations: ['51-2=49', '81-42=39'] Exploring Operation: 49+39=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 9, 21, 84, 23 ]
56
[ "23-9=14", "84/21=4", "14*4=56" ]
Current State: 56:[9, 21, 84, 23], Operations: [] Exploring Operation: 23-9=14, Resulting Numbers: [21, 84, 14] Generated Node #2: [21, 84, 14] from Operation: 23-9=14 Current State: 56:[21, 84, 14], Operations: ['23-9=14'] Exploring Operation: 84/21=4, Resulting Numbers: [14, 4] Generated Node #3: [14, 4] from Operation: 84/21=4 Current State: 56:[14, 4], Operations: ['23-9=14', '84/21=4'] Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 17, 6, 1, 24 ]
43
[ "24-17=7", "6*7=42", "1+42=43" ]
Current State: 43:[17, 6, 1, 24], Operations: [] Exploring Operation: 24-17=7, Resulting Numbers: [6, 1, 7] Generated Node #2: [6, 1, 7] from Operation: 24-17=7 Current State: 43:[6, 1, 7], Operations: ['24-17=7'] Exploring Operation: 6*7=42, Resulting Numbers: [1, 42] Generated Node #3: [1, 42] from Operation: 6*7=42 Current State: 43:[1, 42], Operations: ['24-17=7', '6*7=42'] Exploring Operation: 1+42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 13, 37, 59, 89 ]
91
[ "37+59=96", "96-89=7", "13*7=91" ]
Current State: 91:[13, 37, 59, 89], Operations: [] Exploring Operation: 37+59=96, Resulting Numbers: [13, 89, 96] Generated Node #2: [13, 89, 96] from Operation: 37+59=96 Current State: 91:[13, 89, 96], Operations: ['37+59=96'] Exploring Operation: 96-89=7, Resulting Numbers: [13, 7] Generated Node #3: [13, 7] from Operation: 96-89=7 Current State: 91:[13, 7], Operations: ['37+59=96', '96-89=7'] Exploring Operation: 13*7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 19, 27, 21, 24 ]
33
[ "27*24=648", "648-21=627", "627/19=33" ]
Current State: 33:[19, 27, 21, 24], Operations: [] Exploring Operation: 27*24=648, Resulting Numbers: [19, 21, 648] Generated Node #2: [19, 21, 648] from Operation: 27*24=648 Current State: 33:[19, 21, 648], Operations: ['27*24=648'] Exploring Operation: 648-21=627, Resulting Numbers: [19, 627] Generated Node #3: [19, 627] from Operation: 648-21=627 Current State: 33:[19, 627], Operations: ['27*24=648', '648-21=627'] Exploring Operation: 627/19=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 21, 78, 5, 32 ]
20
[ "78-21=57", "5+32=37", "57-37=20" ]
Current State: 20:[21, 78, 5, 32], Operations: [] Exploring Operation: 78-21=57, Resulting Numbers: [5, 32, 57] Generated Node #2: [5, 32, 57] from Operation: 78-21=57 Current State: 20:[5, 32, 57], Operations: ['78-21=57'] Exploring Operation: 5+32=37, Resulting Numbers: [57, 37] Generated Node #3: [57, 37] from Operation: 5+32=37 Current State: 20:[57, 37], Operations: ['78-21=57', '5+32=37'] Exploring Operation: 57-37=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 63, 14, 49, 18 ]
46
[ "63+14=77", "49-18=31", "77-31=46" ]
Current State: 46:[63, 14, 49, 18], Operations: [] Exploring Operation: 63+14=77, Resulting Numbers: [49, 18, 77] Generated Node #2: [49, 18, 77] from Operation: 63+14=77 Current State: 46:[49, 18, 77], Operations: ['63+14=77'] Exploring Operation: 49-18=31, Resulting Numbers: [77, 31] Generated Node #3: [77, 31] from Operation: 49-18=31 Current State: 46:[77, 31], Operations: ['63+14=77', '49-18=31'] Exploring Operation: 77-31=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 4, 1, 21, 69 ]
38
[ "69-1=68", "68/4=17", "21+17=38" ]
Current State: 38:[4, 1, 21, 69], Operations: [] Exploring Operation: 69-1=68, Resulting Numbers: [4, 21, 68] Generated Node #2: [4, 21, 68] from Operation: 69-1=68 Current State: 38:[4, 21, 68], Operations: ['69-1=68'] Exploring Operation: 68/4=17, Resulting Numbers: [21, 17] Generated Node #3: [21, 17] from Operation: 68/4=17 Current State: 38:[21, 17], Operations: ['69-1=68', '68/4=17'] Exploring Operation: 21+17=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 40, 6, 61, 10 ]
71
[ "40/10=4", "6+61=67", "4+67=71" ]
Current State: 71:[40, 6, 61, 10], Operations: [] Exploring Operation: 40/10=4, Resulting Numbers: [6, 61, 4] Generated Node #2: [6, 61, 4] from Operation: 40/10=4 Current State: 71:[6, 61, 4], Operations: ['40/10=4'] Exploring Operation: 6+61=67, Resulting Numbers: [4, 67] Generated Node #3: [4, 67] from Operation: 6+61=67 Current State: 71:[4, 67], Operations: ['40/10=4', '6+61=67'] Exploring Operation: 4+67=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 34, 35, 5, 7 ]
42
[ "35-34=1", "5+1=6", "7*6=42" ]
Current State: 42:[34, 35, 5, 7], Operations: [] Exploring Operation: 35-34=1, Resulting Numbers: [5, 7, 1] Generated Node #2: [5, 7, 1] from Operation: 35-34=1 Current State: 42:[5, 7, 1], Operations: ['35-34=1'] Exploring Operation: 5+1=6, Resulting Numbers: [7, 6] Generated Node #3: [7, 6] from Operation: 5+1=6 Current State: 42:[7, 6], Operations: ['35-34=1', '5+1=6'] Exploring Operation: 7*6=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 41, 19, 6, 59 ]
16
[ "59-41=18", "18/6=3", "19-3=16" ]
Current State: 16:[41, 19, 6, 59], Operations: [] Exploring Operation: 59-41=18, Resulting Numbers: [19, 6, 18] Generated Node #2: [19, 6, 18] from Operation: 59-41=18 Current State: 16:[19, 6, 18], Operations: ['59-41=18'] Exploring Operation: 18/6=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 18/6=3 Current State: 16:[19, 3], Operations: ['59-41=18', '18/6=3'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 58, 86, 39, 6 ]
73
[ "86-58=28", "39+6=45", "28+45=73" ]
Current State: 73:[58, 86, 39, 6], Operations: [] Exploring Operation: 86-58=28, Resulting Numbers: [39, 6, 28] Generated Node #2: [39, 6, 28] from Operation: 86-58=28 Current State: 73:[39, 6, 28], Operations: ['86-58=28'] Exploring Operation: 39+6=45, Resulting Numbers: [28, 45] Generated Node #3: [28, 45] from Operation: 39+6=45 Current State: 73:[28, 45], Operations: ['86-58=28', '39+6=45'] Exploring Operation: 28+45=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 60, 77, 54, 60 ]
23
[ "60+77=137", "54+60=114", "137-114=23" ]
Current State: 23:[60, 77, 54, 60], Operations: [] Exploring Operation: 60+77=137, Resulting Numbers: [54, 137] Generated Node #2: [54, 137] from Operation: 60+77=137 Current State: 23:[54, 137], Operations: ['60+77=137'] Exploring Operation: 54+60=114, Resulting Numbers: [137, 114] Generated Node #3: [137, 114] from Operation: 54+60=114 Current State: 23:[137, 114], Operations: ['60+77=137', '54+60=114'] Exploring Operation: 137-114=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 11, 2, 83, 26 ]
34
[ "11+83=94", "94-26=68", "68/2=34" ]
Current State: 34:[11, 2, 83, 26], Operations: [] Exploring Operation: 11+83=94, Resulting Numbers: [2, 26, 94] Generated Node #2: [2, 26, 94] from Operation: 11+83=94 Current State: 34:[2, 26, 94], Operations: ['11+83=94'] Exploring Operation: 94-26=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 94-26=68 Current State: 34:[2, 68], Operations: ['11+83=94', '94-26=68'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 38, 57, 18, 25 ]
41
[ "57+18=75", "75/25=3", "38+3=41" ]
Current State: 41:[38, 57, 18, 25], Operations: [] Exploring Operation: 57+18=75, Resulting Numbers: [38, 25, 75] Generated Node #2: [38, 25, 75] from Operation: 57+18=75 Current State: 41:[38, 25, 75], Operations: ['57+18=75'] Exploring Operation: 75/25=3, Resulting Numbers: [38, 3] Generated Node #3: [38, 3] from Operation: 75/25=3 Current State: 41:[38, 3], Operations: ['57+18=75', '75/25=3'] Exploring Operation: 38+3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 2, 78, 15, 39 ]
27
[ "78+15=93", "93-39=54", "54/2=27" ]
Current State: 27:[2, 78, 15, 39], Operations: [] Exploring Operation: 78+15=93, Resulting Numbers: [2, 39, 93] Generated Node #2: [2, 39, 93] from Operation: 78+15=93 Current State: 27:[2, 39, 93], Operations: ['78+15=93'] Exploring Operation: 93-39=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 93-39=54 Current State: 27:[2, 54], Operations: ['78+15=93', '93-39=54'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 3, 65, 35, 70 ]
90
[ "3*65=195", "35+70=105", "195-105=90" ]
Current State: 90:[3, 65, 35, 70], Operations: [] Exploring Operation: 3*65=195, Resulting Numbers: [35, 70, 195] Generated Node #2: [35, 70, 195] from Operation: 3*65=195 Current State: 90:[35, 70, 195], Operations: ['3*65=195'] Exploring Operation: 35+70=105, Resulting Numbers: [195, 105] Generated Node #3: [195, 105] from Operation: 35+70=105 Current State: 90:[195, 105], Operations: ['3*65=195', '35+70=105'] Exploring Operation: 195-105=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 81, 52, 14, 60 ]
17
[ "81-52=29", "60-14=46", "46-29=17" ]
Current State: 17:[81, 52, 14, 60], Operations: [] Exploring Operation: 81-52=29, Resulting Numbers: [14, 60, 29] Generated Node #2: [14, 60, 29] from Operation: 81-52=29 Current State: 17:[14, 60, 29], Operations: ['81-52=29'] Exploring Operation: 60-14=46, Resulting Numbers: [29, 46] Generated Node #3: [29, 46] from Operation: 60-14=46 Current State: 17:[29, 46], Operations: ['81-52=29', '60-14=46'] Exploring Operation: 46-29=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 3, 96, 31, 8 ]
11
[ "96-3=93", "93/31=3", "8+3=11" ]
Current State: 11:[3, 96, 31, 8], Operations: [] Exploring Operation: 96-3=93, Resulting Numbers: [31, 8, 93] Generated Node #2: [31, 8, 93] from Operation: 96-3=93 Current State: 11:[31, 8, 93], Operations: ['96-3=93'] Exploring Operation: 93/31=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 93/31=3 Current State: 11:[8, 3], Operations: ['96-3=93', '93/31=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 51, 44, 51, 55 ]
11
[ "51+44=95", "51+55=106", "106-95=11" ]
Current State: 11:[51, 44, 51, 55], Operations: [] Exploring Operation: 51+44=95, Resulting Numbers: [55, 95] Generated Node #2: [55, 95] from Operation: 51+44=95 Current State: 11:[55, 95], Operations: ['51+44=95'] Exploring Operation: 51+55=106, Resulting Numbers: [95, 106] Generated Node #3: [95, 106] from Operation: 51+55=106 Current State: 11:[95, 106], Operations: ['51+44=95', '51+55=106'] Exploring Operation: 106-95=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 42, 11, 48, 52 ]
62
[ "52-42=10", "11*10=110", "110-48=62" ]
Current State: 62:[42, 11, 48, 52], Operations: [] Exploring Operation: 52-42=10, Resulting Numbers: [11, 48, 10] Generated Node #2: [11, 48, 10] from Operation: 52-42=10 Current State: 62:[11, 48, 10], Operations: ['52-42=10'] Exploring Operation: 11*10=110, Resulting Numbers: [48, 110] Generated Node #3: [48, 110] from Operation: 11*10=110 Current State: 62:[48, 110], Operations: ['52-42=10', '11*10=110'] Exploring Operation: 110-48=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 14, 57, 4, 9 ]
26
[ "57-9=48", "48/4=12", "14+12=26" ]
Current State: 26:[14, 57, 4, 9], Operations: [] Exploring Operation: 57-9=48, Resulting Numbers: [14, 4, 48] Generated Node #2: [14, 4, 48] from Operation: 57-9=48 Current State: 26:[14, 4, 48], Operations: ['57-9=48'] Exploring Operation: 48/4=12, Resulting Numbers: [14, 12] Generated Node #3: [14, 12] from Operation: 48/4=12 Current State: 26:[14, 12], Operations: ['57-9=48', '48/4=12'] Exploring Operation: 14+12=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 71, 15, 58, 45 ]
13
[ "71+45=116", "116/58=2", "15-2=13" ]
Current State: 13:[71, 15, 58, 45], Operations: [] Exploring Operation: 71+45=116, Resulting Numbers: [15, 58, 116] Generated Node #2: [15, 58, 116] from Operation: 71+45=116 Current State: 13:[15, 58, 116], Operations: ['71+45=116'] Exploring Operation: 116/58=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 116/58=2 Current State: 13:[15, 2], Operations: ['71+45=116', '116/58=2'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 5, 25, 27, 15 ]
83
[ "5*25=125", "27+15=42", "125-42=83" ]
Current State: 83:[5, 25, 27, 15], Operations: [] Exploring Operation: 5*25=125, Resulting Numbers: [27, 15, 125] Generated Node #2: [27, 15, 125] from Operation: 5*25=125 Current State: 83:[27, 15, 125], Operations: ['5*25=125'] Exploring Operation: 27+15=42, Resulting Numbers: [125, 42] Generated Node #3: [125, 42] from Operation: 27+15=42 Current State: 83:[125, 42], Operations: ['5*25=125', '27+15=42'] Exploring Operation: 125-42=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 63, 15, 34, 69 ]
56
[ "69-63=6", "15*6=90", "90-34=56" ]
Current State: 56:[63, 15, 34, 69], Operations: [] Exploring Operation: 69-63=6, Resulting Numbers: [15, 34, 6] Generated Node #2: [15, 34, 6] from Operation: 69-63=6 Current State: 56:[15, 34, 6], Operations: ['69-63=6'] Exploring Operation: 15*6=90, Resulting Numbers: [34, 90] Generated Node #3: [34, 90] from Operation: 15*6=90 Current State: 56:[34, 90], Operations: ['69-63=6', '15*6=90'] Exploring Operation: 90-34=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 16, 16, 32, 94 ]
93
[ "16+16=32", "32/32=1", "94-1=93" ]
Current State: 93:[16, 16, 32, 94], Operations: [] Exploring Operation: 16+16=32, Resulting Numbers: [32, 94, 32] Generated Node #2: [32, 94, 32] from Operation: 16+16=32 Current State: 93:[32, 94, 32], Operations: ['16+16=32'] Exploring Operation: 32/32=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 32/32=1 Current State: 93:[94, 1], Operations: ['16+16=32', '32/32=1'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 89, 21, 19, 29 ]
62
[ "89+21=110", "19+29=48", "110-48=62" ]
Current State: 62:[89, 21, 19, 29], Operations: [] Exploring Operation: 89+21=110, Resulting Numbers: [19, 29, 110] Generated Node #2: [19, 29, 110] from Operation: 89+21=110 Current State: 62:[19, 29, 110], Operations: ['89+21=110'] Exploring Operation: 19+29=48, Resulting Numbers: [110, 48] Generated Node #3: [110, 48] from Operation: 19+29=48 Current State: 62:[110, 48], Operations: ['89+21=110', '19+29=48'] Exploring Operation: 110-48=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 24, 2, 46, 8 ]
39
[ "24+46=70", "8+70=78", "78/2=39" ]
Current State: 39:[24, 2, 46, 8], Operations: [] Exploring Operation: 24+46=70, Resulting Numbers: [2, 8, 70] Generated Node #2: [2, 8, 70] from Operation: 24+46=70 Current State: 39:[2, 8, 70], Operations: ['24+46=70'] Exploring Operation: 8+70=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 8+70=78 Current State: 39:[2, 78], Operations: ['24+46=70', '8+70=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 14, 2, 20, 70 ]
18
[ "14+20=34", "70-34=36", "36/2=18" ]
Current State: 18:[14, 2, 20, 70], Operations: [] Exploring Operation: 14+20=34, Resulting Numbers: [2, 70, 34] Generated Node #2: [2, 70, 34] from Operation: 14+20=34 Current State: 18:[2, 70, 34], Operations: ['14+20=34'] Exploring Operation: 70-34=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 70-34=36 Current State: 18:[2, 36], Operations: ['14+20=34', '70-34=36'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 82, 43, 56, 91 ]
22
[ "82+43=125", "56+91=147", "147-125=22" ]
Current State: 22:[82, 43, 56, 91], Operations: [] Exploring Operation: 82+43=125, Resulting Numbers: [56, 91, 125] Generated Node #2: [56, 91, 125] from Operation: 82+43=125 Current State: 22:[56, 91, 125], Operations: ['82+43=125'] Exploring Operation: 56+91=147, Resulting Numbers: [125, 147] Generated Node #3: [125, 147] from Operation: 56+91=147 Current State: 22:[125, 147], Operations: ['82+43=125', '56+91=147'] Exploring Operation: 147-125=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 64, 54, 87, 33 ]
65
[ "87-54=33", "33/33=1", "64+1=65" ]
Current State: 65:[64, 54, 87, 33], Operations: [] Exploring Operation: 87-54=33, Resulting Numbers: [64, 33, 33] Generated Node #2: [64, 33, 33] from Operation: 87-54=33 Current State: 65:[64, 33, 33], Operations: ['87-54=33'] Exploring Operation: 33/33=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 33/33=1 Current State: 65:[64, 1], Operations: ['87-54=33', '33/33=1'] Exploring Operation: 64+1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 15, 98, 4, 54 ]
33
[ "98-15=83", "54-4=50", "83-50=33" ]
Current State: 33:[15, 98, 4, 54], Operations: [] Exploring Operation: 98-15=83, Resulting Numbers: [4, 54, 83] Generated Node #2: [4, 54, 83] from Operation: 98-15=83 Current State: 33:[4, 54, 83], Operations: ['98-15=83'] Exploring Operation: 54-4=50, Resulting Numbers: [83, 50] Generated Node #3: [83, 50] from Operation: 54-4=50 Current State: 33:[83, 50], Operations: ['98-15=83', '54-4=50'] Exploring Operation: 83-50=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 96, 67, 2, 7 ]
45
[ "96-7=89", "67*2=134", "134-89=45" ]
Current State: 45:[96, 67, 2, 7], Operations: [] Exploring Operation: 96-7=89, Resulting Numbers: [67, 2, 89] Generated Node #2: [67, 2, 89] from Operation: 96-7=89 Current State: 45:[67, 2, 89], Operations: ['96-7=89'] Exploring Operation: 67*2=134, Resulting Numbers: [89, 134] Generated Node #3: [89, 134] from Operation: 67*2=134 Current State: 45:[89, 134], Operations: ['96-7=89', '67*2=134'] Exploring Operation: 134-89=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 49, 35, 4, 84 ]
77
[ "49*4=196", "35+84=119", "196-119=77" ]
Current State: 77:[49, 35, 4, 84], Operations: [] Exploring Operation: 49*4=196, Resulting Numbers: [35, 84, 196] Generated Node #2: [35, 84, 196] from Operation: 49*4=196 Current State: 77:[35, 84, 196], Operations: ['49*4=196'] Exploring Operation: 35+84=119, Resulting Numbers: [196, 119] Generated Node #3: [196, 119] from Operation: 35+84=119 Current State: 77:[196, 119], Operations: ['49*4=196', '35+84=119'] Exploring Operation: 196-119=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 70, 13, 97, 58 ]
18
[ "70-13=57", "97-58=39", "57-39=18" ]
Current State: 18:[70, 13, 97, 58], Operations: [] Exploring Operation: 70-13=57, Resulting Numbers: [97, 58, 57] Generated Node #2: [97, 58, 57] from Operation: 70-13=57 Current State: 18:[97, 58, 57], Operations: ['70-13=57'] Exploring Operation: 97-58=39, Resulting Numbers: [57, 39] Generated Node #3: [57, 39] from Operation: 97-58=39 Current State: 18:[57, 39], Operations: ['70-13=57', '97-58=39'] Exploring Operation: 57-39=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 7, 49, 25, 72 ]
41
[ "7+49=56", "25+72=97", "97-56=41" ]
Current State: 41:[7, 49, 25, 72], Operations: [] Exploring Operation: 7+49=56, Resulting Numbers: [25, 72, 56] Generated Node #2: [25, 72, 56] from Operation: 7+49=56 Current State: 41:[25, 72, 56], Operations: ['7+49=56'] Exploring Operation: 25+72=97, Resulting Numbers: [56, 97] Generated Node #3: [56, 97] from Operation: 25+72=97 Current State: 41:[56, 97], Operations: ['7+49=56', '25+72=97'] Exploring Operation: 97-56=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 8, 23, 30, 82 ]
41
[ "23-8=15", "30/15=2", "82/2=41" ]
Current State: 41:[8, 23, 30, 82], Operations: [] Exploring Operation: 23-8=15, Resulting Numbers: [30, 82, 15] Generated Node #2: [30, 82, 15] from Operation: 23-8=15 Current State: 41:[30, 82, 15], Operations: ['23-8=15'] Exploring Operation: 30/15=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 30/15=2 Current State: 41:[82, 2], Operations: ['23-8=15', '30/15=2'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 14, 24, 80, 88 ]
88
[ "24+88=112", "112/14=8", "80+8=88" ]
Current State: 88:[14, 24, 80, 88], Operations: [] Exploring Operation: 24+88=112, Resulting Numbers: [14, 80, 112] Generated Node #2: [14, 80, 112] from Operation: 24+88=112 Current State: 88:[14, 80, 112], Operations: ['24+88=112'] Exploring Operation: 112/14=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 112/14=8 Current State: 88:[80, 8], Operations: ['24+88=112', '112/14=8'] Exploring Operation: 80+8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 25, 38, 52, 36 ]
47
[ "25+38=63", "52-36=16", "63-16=47" ]
Current State: 47:[25, 38, 52, 36], Operations: [] Exploring Operation: 25+38=63, Resulting Numbers: [52, 36, 63] Generated Node #2: [52, 36, 63] from Operation: 25+38=63 Current State: 47:[52, 36, 63], Operations: ['25+38=63'] Exploring Operation: 52-36=16, Resulting Numbers: [63, 16] Generated Node #3: [63, 16] from Operation: 52-36=16 Current State: 47:[63, 16], Operations: ['25+38=63', '52-36=16'] Exploring Operation: 63-16=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 40, 41, 53, 49 ]
51
[ "53-49=4", "40/4=10", "41+10=51" ]
Current State: 51:[40, 41, 53, 49], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [40, 41, 4] Generated Node #2: [40, 41, 4] from Operation: 53-49=4 Current State: 51:[40, 41, 4], Operations: ['53-49=4'] Exploring Operation: 40/4=10, Resulting Numbers: [41, 10] Generated Node #3: [41, 10] from Operation: 40/4=10 Current State: 51:[41, 10], Operations: ['53-49=4', '40/4=10'] Exploring Operation: 41+10=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 41, 67, 16, 45 ]
55
[ "67-41=26", "45-16=29", "26+29=55" ]
Current State: 55:[41, 67, 16, 45], Operations: [] Exploring Operation: 67-41=26, Resulting Numbers: [16, 45, 26] Generated Node #2: [16, 45, 26] from Operation: 67-41=26 Current State: 55:[16, 45, 26], Operations: ['67-41=26'] Exploring Operation: 45-16=29, Resulting Numbers: [26, 29] Generated Node #3: [26, 29] from Operation: 45-16=29 Current State: 55:[26, 29], Operations: ['67-41=26', '45-16=29'] Exploring Operation: 26+29=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 78, 5, 84, 1 ]
30
[ "84-78=6", "5*1=5", "6*5=30" ]
Current State: 30:[78, 5, 84, 1], Operations: [] Exploring Operation: 84-78=6, Resulting Numbers: [5, 1, 6] Generated Node #2: [5, 1, 6] from Operation: 84-78=6 Current State: 30:[5, 1, 6], Operations: ['84-78=6'] Exploring Operation: 5*1=5, Resulting Numbers: [6, 5] Generated Node #3: [6, 5] from Operation: 5*1=5 Current State: 30:[6, 5], Operations: ['84-78=6', '5*1=5'] Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 3, 40, 60, 12 ]
25
[ "3*60=180", "180/12=15", "40-15=25" ]
Current State: 25:[3, 40, 60, 12], Operations: [] Exploring Operation: 3*60=180, Resulting Numbers: [40, 12, 180] Generated Node #2: [40, 12, 180] from Operation: 3*60=180 Current State: 25:[40, 12, 180], Operations: ['3*60=180'] Exploring Operation: 180/12=15, Resulting Numbers: [40, 15] Generated Node #3: [40, 15] from Operation: 180/12=15 Current State: 25:[40, 15], Operations: ['3*60=180', '180/12=15'] Exploring Operation: 40-15=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 19, 6, 84, 42 ]
75
[ "19+42=61", "84/6=14", "61+14=75" ]
Current State: 75:[19, 6, 84, 42], Operations: [] Exploring Operation: 19+42=61, Resulting Numbers: [6, 84, 61] Generated Node #2: [6, 84, 61] from Operation: 19+42=61 Current State: 75:[6, 84, 61], Operations: ['19+42=61'] Exploring Operation: 84/6=14, Resulting Numbers: [61, 14] Generated Node #3: [61, 14] from Operation: 84/6=14 Current State: 75:[61, 14], Operations: ['19+42=61', '84/6=14'] Exploring Operation: 61+14=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 38, 34, 19, 11 ]
57
[ "38*34=1292", "1292/19=68", "68-11=57" ]
Current State: 57:[38, 34, 19, 11], Operations: [] Exploring Operation: 38*34=1292, Resulting Numbers: [19, 11, 1292] Generated Node #2: [19, 11, 1292] from Operation: 38*34=1292 Current State: 57:[19, 11, 1292], Operations: ['38*34=1292'] Exploring Operation: 1292/19=68, Resulting Numbers: [11, 68] Generated Node #3: [11, 68] from Operation: 1292/19=68 Current State: 57:[11, 68], Operations: ['38*34=1292', '1292/19=68'] Exploring Operation: 68-11=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 23, 25, 81, 34 ]
20
[ "81+34=115", "115/23=5", "25-5=20" ]
Current State: 20:[23, 25, 81, 34], Operations: [] Exploring Operation: 81+34=115, Resulting Numbers: [23, 25, 115] Generated Node #2: [23, 25, 115] from Operation: 81+34=115 Current State: 20:[23, 25, 115], Operations: ['81+34=115'] Exploring Operation: 115/23=5, Resulting Numbers: [25, 5] Generated Node #3: [25, 5] from Operation: 115/23=5 Current State: 20:[25, 5], Operations: ['81+34=115', '115/23=5'] Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 24, 40, 19, 27 ]
19
[ "24-19=5", "40/5=8", "27-8=19" ]
Current State: 19:[24, 40, 19, 27], Operations: [] Exploring Operation: 24-19=5, Resulting Numbers: [40, 27, 5] Generated Node #2: [40, 27, 5] from Operation: 24-19=5 Current State: 19:[40, 27, 5], Operations: ['24-19=5'] Exploring Operation: 40/5=8, Resulting Numbers: [27, 8] Generated Node #3: [27, 8] from Operation: 40/5=8 Current State: 19:[27, 8], Operations: ['24-19=5', '40/5=8'] Exploring Operation: 27-8=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 57, 69, 26, 16 ]
22
[ "69-57=12", "26-16=10", "12+10=22" ]
Current State: 22:[57, 69, 26, 16], Operations: [] Exploring Operation: 69-57=12, Resulting Numbers: [26, 16, 12] Generated Node #2: [26, 16, 12] from Operation: 69-57=12 Current State: 22:[26, 16, 12], Operations: ['69-57=12'] Exploring Operation: 26-16=10, Resulting Numbers: [12, 10] Generated Node #3: [12, 10] from Operation: 26-16=10 Current State: 22:[12, 10], Operations: ['69-57=12', '26-16=10'] Exploring Operation: 12+10=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 86, 12, 36, 48 ]
88
[ "36-12=24", "48/24=2", "86+2=88" ]
Current State: 88:[86, 12, 36, 48], Operations: [] Exploring Operation: 36-12=24, Resulting Numbers: [86, 48, 24] Generated Node #2: [86, 48, 24] from Operation: 36-12=24 Current State: 88:[86, 48, 24], Operations: ['36-12=24'] Exploring Operation: 48/24=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 48/24=2 Current State: 88:[86, 2], Operations: ['36-12=24', '48/24=2'] Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 90, 77, 73, 75 ]
28
[ "77-75=2", "90/2=45", "73-45=28" ]
Current State: 28:[90, 77, 73, 75], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [90, 73, 2] Generated Node #2: [90, 73, 2] from Operation: 77-75=2 Current State: 28:[90, 73, 2], Operations: ['77-75=2'] Exploring Operation: 90/2=45, Resulting Numbers: [73, 45] Generated Node #3: [73, 45] from Operation: 90/2=45 Current State: 28:[73, 45], Operations: ['77-75=2', '90/2=45'] Exploring Operation: 73-45=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 32, 22, 36, 12 ]
16
[ "36-22=14", "14-12=2", "32/2=16" ]
Current State: 16:[32, 22, 36, 12], Operations: [] Exploring Operation: 36-22=14, Resulting Numbers: [32, 12, 14] Generated Node #2: [32, 12, 14] from Operation: 36-22=14 Current State: 16:[32, 12, 14], Operations: ['36-22=14'] Exploring Operation: 14-12=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 14-12=2 Current State: 16:[32, 2], Operations: ['36-22=14', '14-12=2'] Exploring Operation: 32/2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 14, 72, 74, 63 ]
97
[ "14+72=86", "74-63=11", "86+11=97" ]
Current State: 97:[14, 72, 74, 63], Operations: [] Exploring Operation: 14+72=86, Resulting Numbers: [74, 63, 86] Generated Node #2: [74, 63, 86] from Operation: 14+72=86 Current State: 97:[74, 63, 86], Operations: ['14+72=86'] Exploring Operation: 74-63=11, Resulting Numbers: [86, 11] Generated Node #3: [86, 11] from Operation: 74-63=11 Current State: 97:[86, 11], Operations: ['14+72=86', '74-63=11'] Exploring Operation: 86+11=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 94, 55, 11, 64 ]
74
[ "94+55=149", "11+64=75", "149-75=74" ]
Current State: 74:[94, 55, 11, 64], Operations: [] Exploring Operation: 94+55=149, Resulting Numbers: [11, 64, 149] Generated Node #2: [11, 64, 149] from Operation: 94+55=149 Current State: 74:[11, 64, 149], Operations: ['94+55=149'] Exploring Operation: 11+64=75, Resulting Numbers: [149, 75] Generated Node #3: [149, 75] from Operation: 11+64=75 Current State: 74:[149, 75], Operations: ['94+55=149', '11+64=75'] Exploring Operation: 149-75=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 57, 55, 40, 59 ]
47
[ "59-55=4", "40/4=10", "57-10=47" ]
Current State: 47:[57, 55, 40, 59], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [57, 40, 4] Generated Node #2: [57, 40, 4] from Operation: 59-55=4 Current State: 47:[57, 40, 4], Operations: ['59-55=4'] Exploring Operation: 40/4=10, Resulting Numbers: [57, 10] Generated Node #3: [57, 10] from Operation: 40/4=10 Current State: 47:[57, 10], Operations: ['59-55=4', '40/4=10'] Exploring Operation: 57-10=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 93, 2, 48, 5 ]
18
[ "93-48=45", "2*45=90", "90/5=18" ]
Current State: 18:[93, 2, 48, 5], Operations: [] Exploring Operation: 93-48=45, Resulting Numbers: [2, 5, 45] Generated Node #2: [2, 5, 45] from Operation: 93-48=45 Current State: 18:[2, 5, 45], Operations: ['93-48=45'] Exploring Operation: 2*45=90, Resulting Numbers: [5, 90] Generated Node #3: [5, 90] from Operation: 2*45=90 Current State: 18:[5, 90], Operations: ['93-48=45', '2*45=90'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 47, 35, 58, 31 ]
50
[ "35+58=93", "93/31=3", "47+3=50" ]
Current State: 50:[47, 35, 58, 31], Operations: [] Exploring Operation: 35+58=93, Resulting Numbers: [47, 31, 93] Generated Node #2: [47, 31, 93] from Operation: 35+58=93 Current State: 50:[47, 31, 93], Operations: ['35+58=93'] Exploring Operation: 93/31=3, Resulting Numbers: [47, 3] Generated Node #3: [47, 3] from Operation: 93/31=3 Current State: 50:[47, 3], Operations: ['35+58=93', '93/31=3'] Exploring Operation: 47+3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 6, 2, 44, 50 ]
10
[ "6-2=4", "50-44=6", "4+6=10" ]
Current State: 10:[6, 2, 44, 50], Operations: [] Exploring Operation: 6-2=4, Resulting Numbers: [44, 50, 4] Generated Node #2: [44, 50, 4] from Operation: 6-2=4 Current State: 10:[44, 50, 4], Operations: ['6-2=4'] Exploring Operation: 50-44=6, Resulting Numbers: [4, 6] Generated Node #3: [4, 6] from Operation: 50-44=6 Current State: 10:[4, 6], Operations: ['6-2=4', '50-44=6'] Exploring Operation: 4+6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 85, 53, 50, 25 ]
30
[ "85-53=32", "50/25=2", "32-2=30" ]
Current State: 30:[85, 53, 50, 25], Operations: [] Exploring Operation: 85-53=32, Resulting Numbers: [50, 25, 32] Generated Node #2: [50, 25, 32] from Operation: 85-53=32 Current State: 30:[50, 25, 32], Operations: ['85-53=32'] Exploring Operation: 50/25=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 50/25=2 Current State: 30:[32, 2], Operations: ['85-53=32', '50/25=2'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 76, 89, 6, 4 ]
28
[ "89-76=13", "13-6=7", "4*7=28" ]
Current State: 28:[76, 89, 6, 4], Operations: [] Exploring Operation: 89-76=13, Resulting Numbers: [6, 4, 13] Generated Node #2: [6, 4, 13] from Operation: 89-76=13 Current State: 28:[6, 4, 13], Operations: ['89-76=13'] Exploring Operation: 13-6=7, Resulting Numbers: [4, 7] Generated Node #3: [4, 7] from Operation: 13-6=7 Current State: 28:[4, 7], Operations: ['89-76=13', '13-6=7'] Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 65, 57, 2, 46 ]
50
[ "65-57=8", "8/2=4", "46+4=50" ]
Current State: 50:[65, 57, 2, 46], Operations: [] Exploring Operation: 65-57=8, Resulting Numbers: [2, 46, 8] Generated Node #2: [2, 46, 8] from Operation: 65-57=8 Current State: 50:[2, 46, 8], Operations: ['65-57=8'] Exploring Operation: 8/2=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 8/2=4 Current State: 50:[46, 4], Operations: ['65-57=8', '8/2=4'] Exploring Operation: 46+4=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 73, 76, 97, 43 ]
95
[ "73+76=149", "97-43=54", "149-54=95" ]
Current State: 95:[73, 76, 97, 43], Operations: [] Exploring Operation: 73+76=149, Resulting Numbers: [97, 43, 149] Generated Node #2: [97, 43, 149] from Operation: 73+76=149 Current State: 95:[97, 43, 149], Operations: ['73+76=149'] Exploring Operation: 97-43=54, Resulting Numbers: [149, 54] Generated Node #3: [149, 54] from Operation: 97-43=54 Current State: 95:[149, 54], Operations: ['73+76=149', '97-43=54'] Exploring Operation: 149-54=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 70, 16, 74, 23 ]
92
[ "74-70=4", "16*23=368", "368/4=92" ]
Current State: 92:[70, 16, 74, 23], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [16, 23, 4] Generated Node #2: [16, 23, 4] from Operation: 74-70=4 Current State: 92:[16, 23, 4], Operations: ['74-70=4'] Exploring Operation: 16*23=368, Resulting Numbers: [4, 368] Generated Node #3: [4, 368] from Operation: 16*23=368 Current State: 92:[4, 368], Operations: ['74-70=4', '16*23=368'] Exploring Operation: 368/4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 86, 77, 40, 9 ]
58
[ "86-77=9", "40+9=49", "9+49=58" ]
Current State: 58:[86, 77, 40, 9], Operations: [] Exploring Operation: 86-77=9, Resulting Numbers: [40, 9, 9] Generated Node #2: [40, 9, 9] from Operation: 86-77=9 Current State: 58:[40, 9, 9], Operations: ['86-77=9'] Exploring Operation: 40+9=49, Resulting Numbers: [49] 49,58 equal: Goal Reached Exploring Operation: 9+49=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 88, 42, 35, 3 ]
55
[ "88+42=130", "35+130=165", "165/3=55" ]
Current State: 55:[88, 42, 35, 3], Operations: [] Exploring Operation: 88+42=130, Resulting Numbers: [35, 3, 130] Generated Node #2: [35, 3, 130] from Operation: 88+42=130 Current State: 55:[35, 3, 130], Operations: ['88+42=130'] Exploring Operation: 35+130=165, Resulting Numbers: [3, 165] Generated Node #3: [3, 165] from Operation: 35+130=165 Current State: 55:[3, 165], Operations: ['88+42=130', '35+130=165'] Exploring Operation: 165/3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 10, 88, 22, 45 ]
56
[ "88+22=110", "110/10=11", "45+11=56" ]
Current State: 56:[10, 88, 22, 45], Operations: [] Exploring Operation: 88+22=110, Resulting Numbers: [10, 45, 110] Generated Node #2: [10, 45, 110] from Operation: 88+22=110 Current State: 56:[10, 45, 110], Operations: ['88+22=110'] Exploring Operation: 110/10=11, Resulting Numbers: [45, 11] Generated Node #3: [45, 11] from Operation: 110/10=11 Current State: 56:[45, 11], Operations: ['88+22=110', '110/10=11'] Exploring Operation: 45+11=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 8, 29, 10, 43 ]
36
[ "10-8=2", "29+43=72", "72/2=36" ]
Current State: 36:[8, 29, 10, 43], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [29, 43, 2] Generated Node #2: [29, 43, 2] from Operation: 10-8=2 Current State: 36:[29, 43, 2], Operations: ['10-8=2'] Exploring Operation: 29+43=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 29+43=72 Current State: 36:[2, 72], Operations: ['10-8=2', '29+43=72'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 8, 25, 26, 47 ]
32
[ "25+26=51", "51-47=4", "8*4=32" ]
Current State: 32:[8, 25, 26, 47], Operations: [] Exploring Operation: 25+26=51, Resulting Numbers: [8, 47, 51] Generated Node #2: [8, 47, 51] from Operation: 25+26=51 Current State: 32:[8, 47, 51], Operations: ['25+26=51'] Exploring Operation: 51-47=4, Resulting Numbers: [8, 4] Generated Node #3: [8, 4] from Operation: 51-47=4 Current State: 32:[8, 4], Operations: ['25+26=51', '51-47=4'] Exploring Operation: 8*4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 30, 49, 94, 46 ]
34
[ "30*49=1470", "94+1470=1564", "1564/46=34" ]
Current State: 34:[30, 49, 94, 46], Operations: [] Exploring Operation: 30*49=1470, Resulting Numbers: [94, 46, 1470] Generated Node #2: [94, 46, 1470] from Operation: 30*49=1470 Current State: 34:[94, 46, 1470], Operations: ['30*49=1470'] Exploring Operation: 94+1470=1564, Resulting Numbers: [46, 1564] Generated Node #3: [46, 1564] from Operation: 94+1470=1564 Current State: 34:[46, 1564], Operations: ['30*49=1470', '94+1470=1564'] Exploring Operation: 1564/46=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 8, 40, 24, 72 ]
56
[ "40-24=16", "8*16=128", "128-72=56" ]
Current State: 56:[8, 40, 24, 72], Operations: [] Exploring Operation: 40-24=16, Resulting Numbers: [8, 72, 16] Generated Node #2: [8, 72, 16] from Operation: 40-24=16 Current State: 56:[8, 72, 16], Operations: ['40-24=16'] Exploring Operation: 8*16=128, Resulting Numbers: [72, 128] Generated Node #3: [72, 128] from Operation: 8*16=128 Current State: 56:[72, 128], Operations: ['40-24=16', '8*16=128'] Exploring Operation: 128-72=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 78, 52, 64, 25 ]
26
[ "64-25=39", "78/39=2", "52/2=26" ]
Current State: 26:[78, 52, 64, 25], Operations: [] Exploring Operation: 64-25=39, Resulting Numbers: [78, 52, 39] Generated Node #2: [78, 52, 39] from Operation: 64-25=39 Current State: 26:[78, 52, 39], Operations: ['64-25=39'] Exploring Operation: 78/39=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 78/39=2 Current State: 26:[52, 2], Operations: ['64-25=39', '78/39=2'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 28, 66, 6, 51 ]
54
[ "28-6=22", "66/22=3", "51+3=54" ]
Current State: 54:[28, 66, 6, 51], Operations: [] Exploring Operation: 28-6=22, Resulting Numbers: [66, 51, 22] Generated Node #2: [66, 51, 22] from Operation: 28-6=22 Current State: 54:[66, 51, 22], Operations: ['28-6=22'] Exploring Operation: 66/22=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 66/22=3 Current State: 54:[51, 3], Operations: ['28-6=22', '66/22=3'] Exploring Operation: 51+3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 64, 34, 68, 78 ]
25
[ "68/34=2", "78/2=39", "64-39=25" ]
Current State: 25:[64, 34, 68, 78], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [64, 78, 2] Generated Node #2: [64, 78, 2] from Operation: 68/34=2 Current State: 25:[64, 78, 2], Operations: ['68/34=2'] Exploring Operation: 78/2=39, Resulting Numbers: [64, 39] Generated Node #3: [64, 39] from Operation: 78/2=39 Current State: 25:[64, 39], Operations: ['68/34=2', '78/2=39'] Exploring Operation: 64-39=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 30, 78, 6, 79 ]
36
[ "30+6=36", "79-78=1", "36*1=36" ]
Current State: 36:[30, 78, 6, 79], Operations: [] Exploring Operation: 30+6=36, Resulting Numbers: [78, 79, 36] Generated Node #2: [78, 79, 36] from Operation: 30+6=36 Current State: 36:[78, 79, 36], Operations: ['30+6=36'] Exploring Operation: 79-78=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 79-78=1 Current State: 36:[36, 1], Operations: ['30+6=36', '79-78=1'] Exploring Operation: 36*1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 52, 16, 10, 98 ]
52
[ "52-16=36", "98-10=88", "88-36=52" ]
Current State: 52:[52, 16, 10, 98], Operations: [] Exploring Operation: 52-16=36, Resulting Numbers: [10, 98, 36] Generated Node #2: [10, 98, 36] from Operation: 52-16=36 Current State: 52:[10, 98, 36], Operations: ['52-16=36'] Exploring Operation: 98-10=88, Resulting Numbers: [36, 88] Generated Node #3: [36, 88] from Operation: 98-10=88 Current State: 52:[36, 88], Operations: ['52-16=36', '98-10=88'] Exploring Operation: 88-36=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 91, 7, 2, 4 ]
18
[ "91/7=13", "13-4=9", "2*9=18" ]
Current State: 18:[91, 7, 2, 4], Operations: [] Exploring Operation: 91/7=13, Resulting Numbers: [2, 4, 13] Generated Node #2: [2, 4, 13] from Operation: 91/7=13 Current State: 18:[2, 4, 13], Operations: ['91/7=13'] Exploring Operation: 13-4=9, Resulting Numbers: [2, 9] Generated Node #3: [2, 9] from Operation: 13-4=9 Current State: 18:[2, 9], Operations: ['91/7=13', '13-4=9'] Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 89, 16, 13, 2 ]
95
[ "16-13=3", "2*3=6", "89+6=95" ]
Current State: 95:[89, 16, 13, 2], Operations: [] Exploring Operation: 16-13=3, Resulting Numbers: [89, 2, 3] Generated Node #2: [89, 2, 3] from Operation: 16-13=3 Current State: 95:[89, 2, 3], Operations: ['16-13=3'] Exploring Operation: 2*3=6, Resulting Numbers: [89, 6] Generated Node #3: [89, 6] from Operation: 2*3=6 Current State: 95:[89, 6], Operations: ['16-13=3', '2*3=6'] Exploring Operation: 89+6=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 3, 32, 15, 2 ]
29
[ "3*15=45", "32/2=16", "45-16=29" ]
Current State: 29:[3, 32, 15, 2], Operations: [] Exploring Operation: 3*15=45, Resulting Numbers: [32, 2, 45] Generated Node #2: [32, 2, 45] from Operation: 3*15=45 Current State: 29:[32, 2, 45], Operations: ['3*15=45'] Exploring Operation: 32/2=16, Resulting Numbers: [45, 16] Generated Node #3: [45, 16] from Operation: 32/2=16 Current State: 29:[45, 16], Operations: ['3*15=45', '32/2=16'] Exploring Operation: 45-16=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 64, 34, 53, 11 ]
12
[ "64-34=30", "53-11=42", "42-30=12" ]
Current State: 12:[64, 34, 53, 11], Operations: [] Exploring Operation: 64-34=30, Resulting Numbers: [53, 11, 30] Generated Node #2: [53, 11, 30] from Operation: 64-34=30 Current State: 12:[53, 11, 30], Operations: ['64-34=30'] Exploring Operation: 53-11=42, Resulting Numbers: [30, 42] Generated Node #3: [30, 42] from Operation: 53-11=42 Current State: 12:[30, 42], Operations: ['64-34=30', '53-11=42'] Exploring Operation: 42-30=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 56, 77, 5, 48 ]
61
[ "77*48=3696", "3696/56=66", "66-5=61" ]
Current State: 61:[56, 77, 5, 48], Operations: [] Exploring Operation: 77*48=3696, Resulting Numbers: [56, 5, 3696] Generated Node #2: [56, 5, 3696] from Operation: 77*48=3696 Current State: 61:[56, 5, 3696], Operations: ['77*48=3696'] Exploring Operation: 3696/56=66, Resulting Numbers: [5, 66] Generated Node #3: [5, 66] from Operation: 3696/56=66 Current State: 61:[5, 66], Operations: ['77*48=3696', '3696/56=66'] Exploring Operation: 66-5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 31, 37, 29, 59 ]
81
[ "31-29=2", "59*2=118", "118-37=81" ]
Current State: 81:[31, 37, 29, 59], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [37, 59, 2] Generated Node #2: [37, 59, 2] from Operation: 31-29=2 Current State: 81:[37, 59, 2], Operations: ['31-29=2'] Exploring Operation: 59*2=118, Resulting Numbers: [37, 118] Generated Node #3: [37, 118] from Operation: 59*2=118 Current State: 81:[37, 118], Operations: ['31-29=2', '59*2=118'] Exploring Operation: 118-37=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 17, 24, 27, 17 ]
27
[ "17-17=0", "24*0=0", "27+0=27" ]
Current State: 27:[17, 24, 27, 17], Operations: [] Exploring Operation: 17-17=0, Resulting Numbers: [24, 27, 0] Generated Node #2: [24, 27, 0] from Operation: 17-17=0 Current State: 27:[24, 27, 0], Operations: ['17-17=0'] Exploring Operation: 24*0=0, Resulting Numbers: [27, 0] Generated Node #3: [27, 0] from Operation: 24*0=0 Current State: 27:[27, 0], Operations: ['17-17=0', '24*0=0'] Exploring Operation: 27+0=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 98, 52, 70 ]
82
[ "2+98=100", "70-52=18", "100-18=82" ]
Current State: 82:[2, 98, 52, 70], Operations: [] Exploring Operation: 2+98=100, Resulting Numbers: [52, 70, 100] Generated Node #2: [52, 70, 100] from Operation: 2+98=100 Current State: 82:[52, 70, 100], Operations: ['2+98=100'] Exploring Operation: 70-52=18, Resulting Numbers: [100, 18] Generated Node #3: [100, 18] from Operation: 70-52=18 Current State: 82:[100, 18], Operations: ['2+98=100', '70-52=18'] Exploring Operation: 100-18=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 37, 69, 2, 74 ]
58
[ "69-37=32", "32/2=16", "74-16=58" ]
Current State: 58:[37, 69, 2, 74], Operations: [] Exploring Operation: 69-37=32, Resulting Numbers: [2, 74, 32] Generated Node #2: [2, 74, 32] from Operation: 69-37=32 Current State: 58:[2, 74, 32], Operations: ['69-37=32'] Exploring Operation: 32/2=16, Resulting Numbers: [74, 16] Generated Node #3: [74, 16] from Operation: 32/2=16 Current State: 58:[74, 16], Operations: ['69-37=32', '32/2=16'] Exploring Operation: 74-16=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 39, 33, 69, 67 ]
70
[ "39+33=72", "69-67=2", "72-2=70" ]
Current State: 70:[39, 33, 69, 67], Operations: [] Exploring Operation: 39+33=72, Resulting Numbers: [69, 67, 72] Generated Node #2: [69, 67, 72] from Operation: 39+33=72 Current State: 70:[69, 67, 72], Operations: ['39+33=72'] Exploring Operation: 69-67=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 69-67=2 Current State: 70:[72, 2], Operations: ['39+33=72', '69-67=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 75, 7, 3, 80 ]
16
[ "80-75=5", "7*3=21", "21-5=16" ]
Current State: 16:[75, 7, 3, 80], Operations: [] Exploring Operation: 80-75=5, Resulting Numbers: [7, 3, 5] Generated Node #2: [7, 3, 5] from Operation: 80-75=5 Current State: 16:[7, 3, 5], Operations: ['80-75=5'] Exploring Operation: 7*3=21, Resulting Numbers: [5, 21] Generated Node #3: [5, 21] from Operation: 7*3=21 Current State: 16:[5, 21], Operations: ['80-75=5', '7*3=21'] Exploring Operation: 21-5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 71, 77, 72, 18 ]
15
[ "77-71=6", "72+18=90", "90/6=15" ]
Current State: 15:[71, 77, 72, 18], Operations: [] Exploring Operation: 77-71=6, Resulting Numbers: [72, 18, 6] Generated Node #2: [72, 18, 6] from Operation: 77-71=6 Current State: 15:[72, 18, 6], Operations: ['77-71=6'] Exploring Operation: 72+18=90, Resulting Numbers: [6, 90] Generated Node #3: [6, 90] from Operation: 72+18=90 Current State: 15:[6, 90], Operations: ['77-71=6', '72+18=90'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 10, 93, 38, 53 ]
62
[ "10*93=930", "53-38=15", "930/15=62" ]
Current State: 62:[10, 93, 38, 53], Operations: [] Exploring Operation: 10*93=930, Resulting Numbers: [38, 53, 930] Generated Node #2: [38, 53, 930] from Operation: 10*93=930 Current State: 62:[38, 53, 930], Operations: ['10*93=930'] Exploring Operation: 53-38=15, Resulting Numbers: [930, 15] Generated Node #3: [930, 15] from Operation: 53-38=15 Current State: 62:[930, 15], Operations: ['10*93=930', '53-38=15'] Exploring Operation: 930/15=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4