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
[ 8, 23, 55, 53 ]
93
[ "23-8=15", "55+53=108", "108-15=93" ]
Current State: 93:[8, 23, 55, 53], Operations: [] Exploring Operation: 23-8=15, Resulting Numbers: [55, 53, 15] Generated Node #2: [55, 53, 15] from Operation: 23-8=15 Current State: 93:[55, 53, 15], Operations: ['23-8=15'] Exploring Operation: 55+53=108, Resulting Numbers: [15, 108] Generated Node #3: [15, 108] from Operation: 55+53=108 Current State: 93:[15, 108], Operations: ['23-8=15', '55+53=108'] Exploring Operation: 108-15=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 39, 4, 73, 46 ]
48
[ "73-39=34", "46-34=12", "4*12=48" ]
Current State: 48:[39, 4, 73, 46], Operations: [] Exploring Operation: 73-39=34, Resulting Numbers: [4, 46, 34] Generated Node #2: [4, 46, 34] from Operation: 73-39=34 Current State: 48:[4, 46, 34], Operations: ['73-39=34'] Exploring Operation: 46-34=12, Resulting Numbers: [4, 12] Generated Node #3: [4, 12] from Operation: 46-34=12 Current State: 48:[4, 12], Operations: ['73-39=34', '46-34=12'] Exploring Operation: 4*12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 90, 67, 3, 8 ]
49
[ "8-3=5", "90/5=18", "67-18=49" ]
Current State: 49:[90, 67, 3, 8], Operations: [] Exploring Operation: 8-3=5, Resulting Numbers: [90, 67, 5] Generated Node #2: [90, 67, 5] from Operation: 8-3=5 Current State: 49:[90, 67, 5], Operations: ['8-3=5'] Exploring Operation: 90/5=18, Resulting Numbers: [67, 18] Generated Node #3: [67, 18] from Operation: 90/5=18 Current State: 49:[67, 18], Operations: ['8-3=5', '90/5=18'] Exploring Operation: 67-18=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 34, 3, 32, 93 ]
92
[ "34-3=31", "93-32=61", "31+61=92" ]
Current State: 92:[34, 3, 32, 93], Operations: [] Exploring Operation: 34-3=31, Resulting Numbers: [32, 93, 31] Generated Node #2: [32, 93, 31] from Operation: 34-3=31 Current State: 92:[32, 93, 31], Operations: ['34-3=31'] Exploring Operation: 93-32=61, Resulting Numbers: [31, 61] Generated Node #3: [31, 61] from Operation: 93-32=61 Current State: 92:[31, 61], Operations: ['34-3=31', '93-32=61'] Exploring Operation: 31+61=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 2, 42, 35, 20 ]
59
[ "2+42=44", "35-20=15", "44+15=59" ]
Current State: 59:[2, 42, 35, 20], Operations: [] Exploring Operation: 2+42=44, Resulting Numbers: [35, 20, 44] Generated Node #2: [35, 20, 44] from Operation: 2+42=44 Current State: 59:[35, 20, 44], Operations: ['2+42=44'] Exploring Operation: 35-20=15, Resulting Numbers: [44, 15] Generated Node #3: [44, 15] from Operation: 35-20=15 Current State: 59:[44, 15], Operations: ['2+42=44', '35-20=15'] Exploring Operation: 44+15=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 97, 41, 11, 97 ]
51
[ "97/97=1", "41+11=52", "52-1=51" ]
Current State: 51:[97, 41, 11, 97], Operations: [] Exploring Operation: 97/97=1, Resulting Numbers: [41, 11, 1] Generated Node #2: [41, 11, 1] from Operation: 97/97=1 Current State: 51:[41, 11, 1], Operations: ['97/97=1'] Exploring Operation: 41+11=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 41+11=52 Current State: 51:[1, 52], Operations: ['97/97=1', '41+11=52'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 30, 43, 32, 69 ]
13
[ "32-30=2", "69-43=26", "26/2=13" ]
Current State: 13:[30, 43, 32, 69], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [43, 69, 2] Generated Node #2: [43, 69, 2] from Operation: 32-30=2 Current State: 13:[43, 69, 2], Operations: ['32-30=2'] Exploring Operation: 69-43=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 69-43=26 Current State: 13:[2, 26], Operations: ['32-30=2', '69-43=26'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 78, 24, 40, 64 ]
66
[ "78*40=3120", "3120/24=130", "130-64=66" ]
Current State: 66:[78, 24, 40, 64], Operations: [] Exploring Operation: 78*40=3120, Resulting Numbers: [24, 64, 3120] Generated Node #2: [24, 64, 3120] from Operation: 78*40=3120 Current State: 66:[24, 64, 3120], Operations: ['78*40=3120'] Exploring Operation: 3120/24=130, Resulting Numbers: [64, 130] Generated Node #3: [64, 130] from Operation: 3120/24=130 Current State: 66:[64, 130], Operations: ['78*40=3120', '3120/24=130'] Exploring Operation: 130-64=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 15, 34, 40, 12 ]
21
[ "15+34=49", "40-12=28", "49-28=21" ]
Current State: 21:[15, 34, 40, 12], Operations: [] Exploring Operation: 15+34=49, Resulting Numbers: [40, 12, 49] Generated Node #2: [40, 12, 49] from Operation: 15+34=49 Current State: 21:[40, 12, 49], Operations: ['15+34=49'] Exploring Operation: 40-12=28, Resulting Numbers: [49, 28] Generated Node #3: [49, 28] from Operation: 40-12=28 Current State: 21:[49, 28], Operations: ['15+34=49', '40-12=28'] Exploring Operation: 49-28=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 8, 41, 5 ]
67
[ "8+5=13", "2*13=26", "41+26=67" ]
Current State: 67:[2, 8, 41, 5], Operations: [] Exploring Operation: 8+5=13, Resulting Numbers: [2, 41, 13] Generated Node #2: [2, 41, 13] from Operation: 8+5=13 Current State: 67:[2, 41, 13], Operations: ['8+5=13'] Exploring Operation: 2*13=26, Resulting Numbers: [41, 26] Generated Node #3: [41, 26] from Operation: 2*13=26 Current State: 67:[41, 26], Operations: ['8+5=13', '2*13=26'] Exploring Operation: 41+26=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 24, 21, 14, 81 ]
22
[ "24+21=45", "81-14=67", "67-45=22" ]
Current State: 22:[24, 21, 14, 81], Operations: [] Exploring Operation: 24+21=45, Resulting Numbers: [14, 81, 45] Generated Node #2: [14, 81, 45] from Operation: 24+21=45 Current State: 22:[14, 81, 45], Operations: ['24+21=45'] Exploring Operation: 81-14=67, Resulting Numbers: [45, 67] Generated Node #3: [45, 67] from Operation: 81-14=67 Current State: 22:[45, 67], Operations: ['24+21=45', '81-14=67'] Exploring Operation: 67-45=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 31, 30, 48, 93 ]
81
[ "93/31=3", "30+48=78", "3+78=81" ]
Current State: 81:[31, 30, 48, 93], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [30, 48, 3] Generated Node #2: [30, 48, 3] from Operation: 93/31=3 Current State: 81:[30, 48, 3], Operations: ['93/31=3'] Exploring Operation: 30+48=78, Resulting Numbers: [3, 78] Generated Node #3: [3, 78] from Operation: 30+48=78 Current State: 81:[3, 78], Operations: ['93/31=3', '30+48=78'] Exploring Operation: 3+78=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 93, 4, 55, 96 ]
71
[ "96-55=41", "4*41=164", "164-93=71" ]
Current State: 71:[93, 4, 55, 96], Operations: [] Exploring Operation: 96-55=41, Resulting Numbers: [93, 4, 41] Generated Node #2: [93, 4, 41] from Operation: 96-55=41 Current State: 71:[93, 4, 41], Operations: ['96-55=41'] Exploring Operation: 4*41=164, Resulting Numbers: [93, 164] Generated Node #3: [93, 164] from Operation: 4*41=164 Current State: 71:[93, 164], Operations: ['96-55=41', '4*41=164'] Exploring Operation: 164-93=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 24, 42, 32, 27 ]
20
[ "42-27=15", "32*15=480", "480/24=20" ]
Current State: 20:[24, 42, 32, 27], Operations: [] Exploring Operation: 42-27=15, Resulting Numbers: [24, 32, 15] Generated Node #2: [24, 32, 15] from Operation: 42-27=15 Current State: 20:[24, 32, 15], Operations: ['42-27=15'] Exploring Operation: 32*15=480, Resulting Numbers: [24, 480] Generated Node #3: [24, 480] from Operation: 32*15=480 Current State: 20:[24, 480], Operations: ['42-27=15', '32*15=480'] Exploring Operation: 480/24=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 3, 36, 55, 31 ]
22
[ "3*36=108", "55+31=86", "108-86=22" ]
Current State: 22:[3, 36, 55, 31], Operations: [] Exploring Operation: 3*36=108, Resulting Numbers: [55, 31, 108] Generated Node #2: [55, 31, 108] from Operation: 3*36=108 Current State: 22:[55, 31, 108], Operations: ['3*36=108'] Exploring Operation: 55+31=86, Resulting Numbers: [108, 86] Generated Node #3: [108, 86] from Operation: 55+31=86 Current State: 22:[108, 86], Operations: ['3*36=108', '55+31=86'] Exploring Operation: 108-86=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 99, 28, 81, 71 ]
82
[ "99-28=71", "71/71=1", "81+1=82" ]
Current State: 82:[99, 28, 81, 71], Operations: [] Exploring Operation: 99-28=71, Resulting Numbers: [81, 71, 71] Generated Node #2: [81, 71, 71] from Operation: 99-28=71 Current State: 82:[81, 71, 71], Operations: ['99-28=71'] Exploring Operation: 71/71=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 71/71=1 Current State: 82:[81, 1], Operations: ['99-28=71', '71/71=1'] Exploring Operation: 81+1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 3, 71, 94, 44 ]
73
[ "3+44=47", "94/47=2", "71+2=73" ]
Current State: 73:[3, 71, 94, 44], Operations: [] Exploring Operation: 3+44=47, Resulting Numbers: [71, 94, 47] Generated Node #2: [71, 94, 47] from Operation: 3+44=47 Current State: 73:[71, 94, 47], Operations: ['3+44=47'] Exploring Operation: 94/47=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 94/47=2 Current State: 73:[71, 2], Operations: ['3+44=47', '94/47=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 14, 94, 62, 27 ]
73
[ "14+94=108", "62-27=35", "108-35=73" ]
Current State: 73:[14, 94, 62, 27], Operations: [] Exploring Operation: 14+94=108, Resulting Numbers: [62, 27, 108] Generated Node #2: [62, 27, 108] from Operation: 14+94=108 Current State: 73:[62, 27, 108], Operations: ['14+94=108'] Exploring Operation: 62-27=35, Resulting Numbers: [108, 35] Generated Node #3: [108, 35] from Operation: 62-27=35 Current State: 73:[108, 35], Operations: ['14+94=108', '62-27=35'] Exploring Operation: 108-35=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 50, 9, 30, 11 ]
70
[ "11-9=2", "50*2=100", "100-30=70" ]
Current State: 70:[50, 9, 30, 11], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [50, 30, 2] Generated Node #2: [50, 30, 2] from Operation: 11-9=2 Current State: 70:[50, 30, 2], Operations: ['11-9=2'] Exploring Operation: 50*2=100, Resulting Numbers: [30, 100] Generated Node #3: [30, 100] from Operation: 50*2=100 Current State: 70:[30, 100], Operations: ['11-9=2', '50*2=100'] Exploring Operation: 100-30=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 33, 56, 3, 97 ]
71
[ "56-33=23", "97-3=94", "94-23=71" ]
Current State: 71:[33, 56, 3, 97], Operations: [] Exploring Operation: 56-33=23, Resulting Numbers: [3, 97, 23] Generated Node #2: [3, 97, 23] from Operation: 56-33=23 Current State: 71:[3, 97, 23], Operations: ['56-33=23'] Exploring Operation: 97-3=94, Resulting Numbers: [23, 94] Generated Node #3: [23, 94] from Operation: 97-3=94 Current State: 71:[23, 94], Operations: ['56-33=23', '97-3=94'] Exploring Operation: 94-23=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 70, 39, 78, 88 ]
50
[ "78-70=8", "88/8=11", "39+11=50" ]
Current State: 50:[70, 39, 78, 88], Operations: [] Exploring Operation: 78-70=8, Resulting Numbers: [39, 88, 8] Generated Node #2: [39, 88, 8] from Operation: 78-70=8 Current State: 50:[39, 88, 8], Operations: ['78-70=8'] Exploring Operation: 88/8=11, Resulting Numbers: [39, 11] Generated Node #3: [39, 11] from Operation: 88/8=11 Current State: 50:[39, 11], Operations: ['78-70=8', '88/8=11'] Exploring Operation: 39+11=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 23, 89, 55, 38 ]
95
[ "23+89=112", "55-38=17", "112-17=95" ]
Current State: 95:[23, 89, 55, 38], Operations: [] Exploring Operation: 23+89=112, Resulting Numbers: [55, 38, 112] Generated Node #2: [55, 38, 112] from Operation: 23+89=112 Current State: 95:[55, 38, 112], Operations: ['23+89=112'] Exploring Operation: 55-38=17, Resulting Numbers: [112, 17] Generated Node #3: [112, 17] from Operation: 55-38=17 Current State: 95:[112, 17], Operations: ['23+89=112', '55-38=17'] Exploring Operation: 112-17=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 12, 34, 3, 42 ]
21
[ "12*3=36", "36-34=2", "42/2=21" ]
Current State: 21:[12, 34, 3, 42], Operations: [] Exploring Operation: 12*3=36, Resulting Numbers: [34, 42, 36] Generated Node #2: [34, 42, 36] from Operation: 12*3=36 Current State: 21:[34, 42, 36], Operations: ['12*3=36'] Exploring Operation: 36-34=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 36-34=2 Current State: 21:[42, 2], Operations: ['12*3=36', '36-34=2'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 24, 34, 48, 2 ]
38
[ "24+34=58", "48*2=96", "96-58=38" ]
Current State: 38:[24, 34, 48, 2], Operations: [] Exploring Operation: 24+34=58, Resulting Numbers: [48, 2, 58] Generated Node #2: [48, 2, 58] from Operation: 24+34=58 Current State: 38:[48, 2, 58], Operations: ['24+34=58'] Exploring Operation: 48*2=96, Resulting Numbers: [58, 96] Generated Node #3: [58, 96] from Operation: 48*2=96 Current State: 38:[58, 96], Operations: ['24+34=58', '48*2=96'] Exploring Operation: 96-58=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 73, 47, 25, 60 ]
27
[ "73+47=120", "120/60=2", "25+2=27" ]
Current State: 27:[73, 47, 25, 60], Operations: [] Exploring Operation: 73+47=120, Resulting Numbers: [25, 60, 120] Generated Node #2: [25, 60, 120] from Operation: 73+47=120 Current State: 27:[25, 60, 120], Operations: ['73+47=120'] Exploring Operation: 120/60=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 120/60=2 Current State: 27:[25, 2], Operations: ['73+47=120', '120/60=2'] Exploring Operation: 25+2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 45, 36, 80, 13 ]
12
[ "45+36=81", "80+13=93", "93-81=12" ]
Current State: 12:[45, 36, 80, 13], Operations: [] Exploring Operation: 45+36=81, Resulting Numbers: [80, 13, 81] Generated Node #2: [80, 13, 81] from Operation: 45+36=81 Current State: 12:[80, 13, 81], Operations: ['45+36=81'] Exploring Operation: 80+13=93, Resulting Numbers: [81, 93] Generated Node #3: [81, 93] from Operation: 80+13=93 Current State: 12:[81, 93], Operations: ['45+36=81', '80+13=93'] Exploring Operation: 93-81=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 12, 32, 98, 37 ]
22
[ "12+98=110", "37-32=5", "110/5=22" ]
Current State: 22:[12, 32, 98, 37], Operations: [] Exploring Operation: 12+98=110, Resulting Numbers: [32, 37, 110] Generated Node #2: [32, 37, 110] from Operation: 12+98=110 Current State: 22:[32, 37, 110], Operations: ['12+98=110'] Exploring Operation: 37-32=5, Resulting Numbers: [110, 5] Generated Node #3: [110, 5] from Operation: 37-32=5 Current State: 22:[110, 5], Operations: ['12+98=110', '37-32=5'] Exploring Operation: 110/5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 4, 7, 19, 1 ]
56
[ "7-4=3", "19*3=57", "57-1=56" ]
Current State: 56:[4, 7, 19, 1], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [19, 1, 3] Generated Node #2: [19, 1, 3] from Operation: 7-4=3 Current State: 56:[19, 1, 3], Operations: ['7-4=3'] Exploring Operation: 19*3=57, Resulting Numbers: [1, 57] Generated Node #3: [1, 57] from Operation: 19*3=57 Current State: 56:[1, 57], Operations: ['7-4=3', '19*3=57'] Exploring Operation: 57-1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 1, 41, 59, 62 ]
82
[ "1+59=60", "62-60=2", "41*2=82" ]
Current State: 82:[1, 41, 59, 62], Operations: [] Exploring Operation: 1+59=60, Resulting Numbers: [41, 62, 60] Generated Node #2: [41, 62, 60] from Operation: 1+59=60 Current State: 82:[41, 62, 60], Operations: ['1+59=60'] Exploring Operation: 62-60=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 62-60=2 Current State: 82:[41, 2], Operations: ['1+59=60', '62-60=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 91, 93, 67, 93 ]
67
[ "93-93=0", "91*0=0", "67+0=67" ]
Current State: 67:[91, 93, 67, 93], Operations: [] Exploring Operation: 93-93=0, Resulting Numbers: [91, 67, 0] Generated Node #2: [91, 67, 0] from Operation: 93-93=0 Current State: 67:[91, 67, 0], Operations: ['93-93=0'] Exploring Operation: 91*0=0, Resulting Numbers: [67, 0] Generated Node #3: [67, 0] from Operation: 91*0=0 Current State: 67:[67, 0], Operations: ['93-93=0', '91*0=0'] Exploring Operation: 67+0=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 80, 83, 38, 72 ]
79
[ "80+72=152", "152/38=4", "83-4=79" ]
Current State: 79:[80, 83, 38, 72], Operations: [] Exploring Operation: 80+72=152, Resulting Numbers: [83, 38, 152] Generated Node #2: [83, 38, 152] from Operation: 80+72=152 Current State: 79:[83, 38, 152], Operations: ['80+72=152'] Exploring Operation: 152/38=4, Resulting Numbers: [83, 4] Generated Node #3: [83, 4] from Operation: 152/38=4 Current State: 79:[83, 4], Operations: ['80+72=152', '152/38=4'] Exploring Operation: 83-4=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 4, 65, 36, 52 ]
77
[ "65-4=61", "52-36=16", "61+16=77" ]
Current State: 77:[4, 65, 36, 52], Operations: [] Exploring Operation: 65-4=61, Resulting Numbers: [36, 52, 61] Generated Node #2: [36, 52, 61] from Operation: 65-4=61 Current State: 77:[36, 52, 61], Operations: ['65-4=61'] Exploring Operation: 52-36=16, Resulting Numbers: [61, 16] Generated Node #3: [61, 16] from Operation: 52-36=16 Current State: 77:[61, 16], Operations: ['65-4=61', '52-36=16'] Exploring Operation: 61+16=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 22, 54, 32, 74 ]
64
[ "22+54=76", "76-74=2", "32*2=64" ]
Current State: 64:[22, 54, 32, 74], Operations: [] Exploring Operation: 22+54=76, Resulting Numbers: [32, 74, 76] Generated Node #2: [32, 74, 76] from Operation: 22+54=76 Current State: 64:[32, 74, 76], Operations: ['22+54=76'] Exploring Operation: 76-74=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 76-74=2 Current State: 64:[32, 2], Operations: ['22+54=76', '76-74=2'] Exploring Operation: 32*2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 49, 90, 58, 36 ]
46
[ "58-49=9", "90/9=10", "36+10=46" ]
Current State: 46:[49, 90, 58, 36], Operations: [] Exploring Operation: 58-49=9, Resulting Numbers: [90, 36, 9] Generated Node #2: [90, 36, 9] from Operation: 58-49=9 Current State: 46:[90, 36, 9], Operations: ['58-49=9'] Exploring Operation: 90/9=10, Resulting Numbers: [36, 10] Generated Node #3: [36, 10] from Operation: 90/9=10 Current State: 46:[36, 10], Operations: ['58-49=9', '90/9=10'] Exploring Operation: 36+10=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 16, 56, 57, 15 ]
82
[ "56-16=40", "57-15=42", "40+42=82" ]
Current State: 82:[16, 56, 57, 15], Operations: [] Exploring Operation: 56-16=40, Resulting Numbers: [57, 15, 40] Generated Node #2: [57, 15, 40] from Operation: 56-16=40 Current State: 82:[57, 15, 40], Operations: ['56-16=40'] Exploring Operation: 57-15=42, Resulting Numbers: [40, 42] Generated Node #3: [40, 42] from Operation: 57-15=42 Current State: 82:[40, 42], Operations: ['56-16=40', '57-15=42'] Exploring Operation: 40+42=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 43, 26, 52, 21 ]
85
[ "52/26=2", "21*2=42", "43+42=85" ]
Current State: 85:[43, 26, 52, 21], Operations: [] Exploring Operation: 52/26=2, Resulting Numbers: [43, 21, 2] Generated Node #2: [43, 21, 2] from Operation: 52/26=2 Current State: 85:[43, 21, 2], Operations: ['52/26=2'] Exploring Operation: 21*2=42, Resulting Numbers: [43, 42] Generated Node #3: [43, 42] from Operation: 21*2=42 Current State: 85:[43, 42], Operations: ['52/26=2', '21*2=42'] Exploring Operation: 43+42=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 21, 57, 22, 3 ]
34
[ "57-21=36", "36/3=12", "22+12=34" ]
Current State: 34:[21, 57, 22, 3], Operations: [] Exploring Operation: 57-21=36, Resulting Numbers: [22, 3, 36] Generated Node #2: [22, 3, 36] from Operation: 57-21=36 Current State: 34:[22, 3, 36], Operations: ['57-21=36'] Exploring Operation: 36/3=12, Resulting Numbers: [22, 12] Generated Node #3: [22, 12] from Operation: 36/3=12 Current State: 34:[22, 12], Operations: ['57-21=36', '36/3=12'] Exploring Operation: 22+12=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 7, 4, 80, 21 ]
90
[ "7+4=11", "80+21=101", "101-11=90" ]
Current State: 90:[7, 4, 80, 21], Operations: [] Exploring Operation: 7+4=11, Resulting Numbers: [80, 21, 11] Generated Node #2: [80, 21, 11] from Operation: 7+4=11 Current State: 90:[80, 21, 11], Operations: ['7+4=11'] Exploring Operation: 80+21=101, Resulting Numbers: [11, 101] Generated Node #3: [11, 101] from Operation: 80+21=101 Current State: 90:[11, 101], Operations: ['7+4=11', '80+21=101'] Exploring Operation: 101-11=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 26, 21, 26, 15 ]
88
[ "26+21=47", "26+15=41", "47+41=88" ]
Current State: 88:[26, 21, 26, 15], Operations: [] Exploring Operation: 26+21=47, Resulting Numbers: [15, 47] Generated Node #2: [15, 47] from Operation: 26+21=47 Current State: 88:[15, 47], Operations: ['26+21=47'] Exploring Operation: 26+15=41, Resulting Numbers: [47, 41] Generated Node #3: [47, 41] from Operation: 26+15=41 Current State: 88:[47, 41], Operations: ['26+21=47', '26+15=41'] Exploring Operation: 47+41=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 20, 58, 6, 46 ]
78
[ "58-20=38", "46-6=40", "38+40=78" ]
Current State: 78:[20, 58, 6, 46], Operations: [] Exploring Operation: 58-20=38, Resulting Numbers: [6, 46, 38] Generated Node #2: [6, 46, 38] from Operation: 58-20=38 Current State: 78:[6, 46, 38], Operations: ['58-20=38'] Exploring Operation: 46-6=40, Resulting Numbers: [38, 40] Generated Node #3: [38, 40] from Operation: 46-6=40 Current State: 78:[38, 40], Operations: ['58-20=38', '46-6=40'] Exploring Operation: 38+40=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 16, 85, 24, 84 ]
30
[ "84-16=68", "85*24=2040", "2040/68=30" ]
Current State: 30:[16, 85, 24, 84], Operations: [] Exploring Operation: 84-16=68, Resulting Numbers: [85, 24, 68] Generated Node #2: [85, 24, 68] from Operation: 84-16=68 Current State: 30:[85, 24, 68], Operations: ['84-16=68'] Exploring Operation: 85*24=2040, Resulting Numbers: [68, 2040] Generated Node #3: [68, 2040] from Operation: 85*24=2040 Current State: 30:[68, 2040], Operations: ['84-16=68', '85*24=2040'] Exploring Operation: 2040/68=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 67, 82, 79, 4 ]
60
[ "82-67=15", "79-4=75", "75-15=60" ]
Current State: 60:[67, 82, 79, 4], Operations: [] Exploring Operation: 82-67=15, Resulting Numbers: [79, 4, 15] Generated Node #2: [79, 4, 15] from Operation: 82-67=15 Current State: 60:[79, 4, 15], Operations: ['82-67=15'] Exploring Operation: 79-4=75, Resulting Numbers: [15, 75] Generated Node #3: [15, 75] from Operation: 79-4=75 Current State: 60:[15, 75], Operations: ['82-67=15', '79-4=75'] Exploring Operation: 75-15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 7, 26, 84, 35 ]
73
[ "84/7=12", "26+35=61", "12+61=73" ]
Current State: 73:[7, 26, 84, 35], Operations: [] Exploring Operation: 84/7=12, Resulting Numbers: [26, 35, 12] Generated Node #2: [26, 35, 12] from Operation: 84/7=12 Current State: 73:[26, 35, 12], Operations: ['84/7=12'] Exploring Operation: 26+35=61, Resulting Numbers: [12, 61] Generated Node #3: [12, 61] from Operation: 26+35=61 Current State: 73:[12, 61], Operations: ['84/7=12', '26+35=61'] Exploring Operation: 12+61=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 3, 32, 63, 92 ]
43
[ "92-32=60", "60/3=20", "63-20=43" ]
Current State: 43:[3, 32, 63, 92], Operations: [] Exploring Operation: 92-32=60, Resulting Numbers: [3, 63, 60] Generated Node #2: [3, 63, 60] from Operation: 92-32=60 Current State: 43:[3, 63, 60], Operations: ['92-32=60'] Exploring Operation: 60/3=20, Resulting Numbers: [63, 20] Generated Node #3: [63, 20] from Operation: 60/3=20 Current State: 43:[63, 20], Operations: ['92-32=60', '60/3=20'] Exploring Operation: 63-20=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 72, 81, 47, 72 ]
47
[ "72-72=0", "81*0=0", "47+0=47" ]
Current State: 47:[72, 81, 47, 72], Operations: [] Exploring Operation: 72-72=0, Resulting Numbers: [81, 47, 0] Generated Node #2: [81, 47, 0] from Operation: 72-72=0 Current State: 47:[81, 47, 0], Operations: ['72-72=0'] Exploring Operation: 81*0=0, Resulting Numbers: [47, 0] Generated Node #3: [47, 0] from Operation: 81*0=0 Current State: 47:[47, 0], Operations: ['72-72=0', '81*0=0'] Exploring Operation: 47+0=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 28, 15, 14, 27 ]
42
[ "28*15=420", "14*27=378", "420-378=42" ]
Current State: 42:[28, 15, 14, 27], Operations: [] Exploring Operation: 28*15=420, Resulting Numbers: [14, 27, 420] Generated Node #2: [14, 27, 420] from Operation: 28*15=420 Current State: 42:[14, 27, 420], Operations: ['28*15=420'] Exploring Operation: 14*27=378, Resulting Numbers: [420, 378] Generated Node #3: [420, 378] from Operation: 14*27=378 Current State: 42:[420, 378], Operations: ['28*15=420', '14*27=378'] Exploring Operation: 420-378=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 1, 99, 53, 5 ]
51
[ "1*99=99", "53-5=48", "99-48=51" ]
Current State: 51:[1, 99, 53, 5], Operations: [] Exploring Operation: 1*99=99, Resulting Numbers: [53, 5, 99] Generated Node #2: [53, 5, 99] from Operation: 1*99=99 Current State: 51:[53, 5, 99], Operations: ['1*99=99'] Exploring Operation: 53-5=48, Resulting Numbers: [99, 48] Generated Node #3: [99, 48] from Operation: 53-5=48 Current State: 51:[99, 48], Operations: ['1*99=99', '53-5=48'] Exploring Operation: 99-48=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 97, 6, 35, 92 ]
34
[ "97-6=91", "92-35=57", "91-57=34" ]
Current State: 34:[97, 6, 35, 92], Operations: [] Exploring Operation: 97-6=91, Resulting Numbers: [35, 92, 91] Generated Node #2: [35, 92, 91] from Operation: 97-6=91 Current State: 34:[35, 92, 91], Operations: ['97-6=91'] Exploring Operation: 92-35=57, Resulting Numbers: [91, 57] Generated Node #3: [91, 57] from Operation: 92-35=57 Current State: 34:[91, 57], Operations: ['97-6=91', '92-35=57'] Exploring Operation: 91-57=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 65, 84, 77, 68 ]
49
[ "68-65=3", "84/3=28", "77-28=49" ]
Current State: 49:[65, 84, 77, 68], Operations: [] Exploring Operation: 68-65=3, Resulting Numbers: [84, 77, 3] Generated Node #2: [84, 77, 3] from Operation: 68-65=3 Current State: 49:[84, 77, 3], Operations: ['68-65=3'] Exploring Operation: 84/3=28, Resulting Numbers: [77, 28] Generated Node #3: [77, 28] from Operation: 84/3=28 Current State: 49:[77, 28], Operations: ['68-65=3', '84/3=28'] Exploring Operation: 77-28=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 22, 86, 85, 17 ]
69
[ "86-22=64", "85/17=5", "64+5=69" ]
Current State: 69:[22, 86, 85, 17], Operations: [] Exploring Operation: 86-22=64, Resulting Numbers: [85, 17, 64] Generated Node #2: [85, 17, 64] from Operation: 86-22=64 Current State: 69:[85, 17, 64], Operations: ['86-22=64'] Exploring Operation: 85/17=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 85/17=5 Current State: 69:[64, 5], Operations: ['86-22=64', '85/17=5'] Exploring Operation: 64+5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 21, 57, 16, 98 ]
42
[ "16+98=114", "21*114=2394", "2394/57=42" ]
Current State: 42:[21, 57, 16, 98], Operations: [] Exploring Operation: 16+98=114, Resulting Numbers: [21, 57, 114] Generated Node #2: [21, 57, 114] from Operation: 16+98=114 Current State: 42:[21, 57, 114], Operations: ['16+98=114'] Exploring Operation: 21*114=2394, Resulting Numbers: [57, 2394] Generated Node #3: [57, 2394] from Operation: 21*114=2394 Current State: 42:[57, 2394], Operations: ['16+98=114', '21*114=2394'] Exploring Operation: 2394/57=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 89, 33, 53, 9 ]
27
[ "89-33=56", "56-53=3", "9*3=27" ]
Current State: 27:[89, 33, 53, 9], Operations: [] Exploring Operation: 89-33=56, Resulting Numbers: [53, 9, 56] Generated Node #2: [53, 9, 56] from Operation: 89-33=56 Current State: 27:[53, 9, 56], Operations: ['89-33=56'] Exploring Operation: 56-53=3, Resulting Numbers: [9, 3] Generated Node #3: [9, 3] from Operation: 56-53=3 Current State: 27:[9, 3], Operations: ['89-33=56', '56-53=3'] Exploring Operation: 9*3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 58, 90, 39, 24 ]
85
[ "58+90=148", "39+24=63", "148-63=85" ]
Current State: 85:[58, 90, 39, 24], Operations: [] Exploring Operation: 58+90=148, Resulting Numbers: [39, 24, 148] Generated Node #2: [39, 24, 148] from Operation: 58+90=148 Current State: 85:[39, 24, 148], Operations: ['58+90=148'] Exploring Operation: 39+24=63, Resulting Numbers: [148, 63] Generated Node #3: [148, 63] from Operation: 39+24=63 Current State: 85:[148, 63], Operations: ['58+90=148', '39+24=63'] Exploring Operation: 148-63=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 64, 64, 15, 76 ]
62
[ "64/64=1", "76-15=61", "1+61=62" ]
Current State: 62:[64, 64, 15, 76], Operations: [] Exploring Operation: 64/64=1, Resulting Numbers: [15, 76, 1] Generated Node #2: [15, 76, 1] from Operation: 64/64=1 Current State: 62:[15, 76, 1], Operations: ['64/64=1'] Exploring Operation: 76-15=61, Resulting Numbers: [1, 61] Generated Node #3: [1, 61] from Operation: 76-15=61 Current State: 62:[1, 61], Operations: ['64/64=1', '76-15=61'] Exploring Operation: 1+61=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 55, 19, 72, 4 ]
81
[ "55-19=36", "36/4=9", "72+9=81" ]
Current State: 81:[55, 19, 72, 4], Operations: [] Exploring Operation: 55-19=36, Resulting Numbers: [72, 4, 36] Generated Node #2: [72, 4, 36] from Operation: 55-19=36 Current State: 81:[72, 4, 36], Operations: ['55-19=36'] Exploring Operation: 36/4=9, Resulting Numbers: [72, 9] Generated Node #3: [72, 9] from Operation: 36/4=9 Current State: 81:[72, 9], Operations: ['55-19=36', '36/4=9'] Exploring Operation: 72+9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 94, 79, 20, 40 ]
75
[ "94-79=15", "20+40=60", "15+60=75" ]
Current State: 75:[94, 79, 20, 40], Operations: [] Exploring Operation: 94-79=15, Resulting Numbers: [20, 40, 15] Generated Node #2: [20, 40, 15] from Operation: 94-79=15 Current State: 75:[20, 40, 15], Operations: ['94-79=15'] Exploring Operation: 20+40=60, Resulting Numbers: [15, 60] Generated Node #3: [15, 60] from Operation: 20+40=60 Current State: 75:[15, 60], Operations: ['94-79=15', '20+40=60'] Exploring Operation: 15+60=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 33, 46, 49, 15 ]
15
[ "33+46=79", "49+15=64", "79-64=15" ]
Current State: 15:[33, 46, 49, 15], Operations: [] Exploring Operation: 33+46=79, Resulting Numbers: [49, 15, 79] Generated Node #2: [49, 15, 79] from Operation: 33+46=79 Current State: 15:[49, 15, 79], Operations: ['33+46=79'] Exploring Operation: 49+15=64, Resulting Numbers: [79, 64] Generated Node #3: [79, 64] from Operation: 49+15=64 Current State: 15:[79, 64], Operations: ['33+46=79', '49+15=64'] Exploring Operation: 79-64=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 30, 31, 3, 80 ]
84
[ "31-30=1", "3+80=83", "1+83=84" ]
Current State: 84:[30, 31, 3, 80], Operations: [] Exploring Operation: 31-30=1, Resulting Numbers: [3, 80, 1] Generated Node #2: [3, 80, 1] from Operation: 31-30=1 Current State: 84:[3, 80, 1], Operations: ['31-30=1'] Exploring Operation: 3+80=83, Resulting Numbers: [1, 83] Generated Node #3: [1, 83] from Operation: 3+80=83 Current State: 84:[1, 83], Operations: ['31-30=1', '3+80=83'] Exploring Operation: 1+83=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 74, 95, 34, 9 ]
15
[ "74+95=169", "169-34=135", "135/9=15" ]
Current State: 15:[74, 95, 34, 9], Operations: [] Exploring Operation: 74+95=169, Resulting Numbers: [34, 9, 169] Generated Node #2: [34, 9, 169] from Operation: 74+95=169 Current State: 15:[34, 9, 169], Operations: ['74+95=169'] Exploring Operation: 169-34=135, Resulting Numbers: [9, 135] Generated Node #3: [9, 135] from Operation: 169-34=135 Current State: 15:[9, 135], Operations: ['74+95=169', '169-34=135'] Exploring Operation: 135/9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 42, 69, 17, 49 ]
50
[ "49-42=7", "17*7=119", "119-69=50" ]
Current State: 50:[42, 69, 17, 49], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [69, 17, 7] Generated Node #2: [69, 17, 7] from Operation: 49-42=7 Current State: 50:[69, 17, 7], Operations: ['49-42=7'] Exploring Operation: 17*7=119, Resulting Numbers: [69, 119] Generated Node #3: [69, 119] from Operation: 17*7=119 Current State: 50:[69, 119], Operations: ['49-42=7', '17*7=119'] Exploring Operation: 119-69=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 36, 15, 51, 4 ]
33
[ "36-15=21", "4*21=84", "84-51=33" ]
Current State: 33:[36, 15, 51, 4], Operations: [] Exploring Operation: 36-15=21, Resulting Numbers: [51, 4, 21] Generated Node #2: [51, 4, 21] from Operation: 36-15=21 Current State: 33:[51, 4, 21], Operations: ['36-15=21'] Exploring Operation: 4*21=84, Resulting Numbers: [51, 84] Generated Node #3: [51, 84] from Operation: 4*21=84 Current State: 33:[51, 84], Operations: ['36-15=21', '4*21=84'] Exploring Operation: 84-51=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 70, 91, 99, 26 ]
12
[ "70+26=96", "99-91=8", "96/8=12" ]
Current State: 12:[70, 91, 99, 26], Operations: [] Exploring Operation: 70+26=96, Resulting Numbers: [91, 99, 96] Generated Node #2: [91, 99, 96] from Operation: 70+26=96 Current State: 12:[91, 99, 96], Operations: ['70+26=96'] Exploring Operation: 99-91=8, Resulting Numbers: [96, 8] Generated Node #3: [96, 8] from Operation: 99-91=8 Current State: 12:[96, 8], Operations: ['70+26=96', '99-91=8'] Exploring Operation: 96/8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 29, 57, 15, 46 ]
89
[ "57-29=28", "15+46=61", "28+61=89" ]
Current State: 89:[29, 57, 15, 46], Operations: [] Exploring Operation: 57-29=28, Resulting Numbers: [15, 46, 28] Generated Node #2: [15, 46, 28] from Operation: 57-29=28 Current State: 89:[15, 46, 28], Operations: ['57-29=28'] Exploring Operation: 15+46=61, Resulting Numbers: [28, 61] Generated Node #3: [28, 61] from Operation: 15+46=61 Current State: 89:[28, 61], Operations: ['57-29=28', '15+46=61'] Exploring Operation: 28+61=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 34, 87, 9, 69 ]
21
[ "87*9=783", "783-69=714", "714/34=21" ]
Current State: 21:[34, 87, 9, 69], Operations: [] Exploring Operation: 87*9=783, Resulting Numbers: [34, 69, 783] Generated Node #2: [34, 69, 783] from Operation: 87*9=783 Current State: 21:[34, 69, 783], Operations: ['87*9=783'] Exploring Operation: 783-69=714, Resulting Numbers: [34, 714] Generated Node #3: [34, 714] from Operation: 783-69=714 Current State: 21:[34, 714], Operations: ['87*9=783', '783-69=714'] Exploring Operation: 714/34=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 55, 87, 91, 67 ]
16
[ "55+87=142", "91+67=158", "158-142=16" ]
Current State: 16:[55, 87, 91, 67], Operations: [] Exploring Operation: 55+87=142, Resulting Numbers: [91, 67, 142] Generated Node #2: [91, 67, 142] from Operation: 55+87=142 Current State: 16:[91, 67, 142], Operations: ['55+87=142'] Exploring Operation: 91+67=158, Resulting Numbers: [142, 158] Generated Node #3: [142, 158] from Operation: 91+67=158 Current State: 16:[142, 158], Operations: ['55+87=142', '91+67=158'] Exploring Operation: 158-142=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 2, 75, 43, 16 ]
80
[ "75-43=32", "2*32=64", "16+64=80" ]
Current State: 80:[2, 75, 43, 16], Operations: [] Exploring Operation: 75-43=32, Resulting Numbers: [2, 16, 32] Generated Node #2: [2, 16, 32] from Operation: 75-43=32 Current State: 80:[2, 16, 32], Operations: ['75-43=32'] Exploring Operation: 2*32=64, Resulting Numbers: [16, 64] Generated Node #3: [16, 64] from Operation: 2*32=64 Current State: 80:[16, 64], Operations: ['75-43=32', '2*32=64'] Exploring Operation: 16+64=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 63, 75, 14, 77 ]
66
[ "75-63=12", "77*12=924", "924/14=66" ]
Current State: 66:[63, 75, 14, 77], Operations: [] Exploring Operation: 75-63=12, Resulting Numbers: [14, 77, 12] Generated Node #2: [14, 77, 12] from Operation: 75-63=12 Current State: 66:[14, 77, 12], Operations: ['75-63=12'] Exploring Operation: 77*12=924, Resulting Numbers: [14, 924] Generated Node #3: [14, 924] from Operation: 77*12=924 Current State: 66:[14, 924], Operations: ['75-63=12', '77*12=924'] Exploring Operation: 924/14=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 44, 42, 47, 65 ]
20
[ "44-42=2", "65-47=18", "2+18=20" ]
Current State: 20:[44, 42, 47, 65], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [47, 65, 2] Generated Node #2: [47, 65, 2] from Operation: 44-42=2 Current State: 20:[47, 65, 2], Operations: ['44-42=2'] Exploring Operation: 65-47=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 65-47=18 Current State: 20:[2, 18], Operations: ['44-42=2', '65-47=18'] Exploring Operation: 2+18=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 39, 36, 52, 81 ]
49
[ "36+81=117", "117/39=3", "52-3=49" ]
Current State: 49:[39, 36, 52, 81], Operations: [] Exploring Operation: 36+81=117, Resulting Numbers: [39, 52, 117] Generated Node #2: [39, 52, 117] from Operation: 36+81=117 Current State: 49:[39, 52, 117], Operations: ['36+81=117'] Exploring Operation: 117/39=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 117/39=3 Current State: 49:[52, 3], Operations: ['36+81=117', '117/39=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 94, 75, 35, 92 ]
38
[ "94-75=19", "92-35=57", "57-19=38" ]
Current State: 38:[94, 75, 35, 92], Operations: [] Exploring Operation: 94-75=19, Resulting Numbers: [35, 92, 19] Generated Node #2: [35, 92, 19] from Operation: 94-75=19 Current State: 38:[35, 92, 19], Operations: ['94-75=19'] Exploring Operation: 92-35=57, Resulting Numbers: [19, 57] Generated Node #3: [19, 57] from Operation: 92-35=57 Current State: 38:[19, 57], Operations: ['94-75=19', '92-35=57'] Exploring Operation: 57-19=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 55, 88, 2, 90 ]
56
[ "88+2=90", "90/90=1", "55+1=56" ]
Current State: 56:[55, 88, 2, 90], Operations: [] Exploring Operation: 88+2=90, Resulting Numbers: [55, 90, 90] Generated Node #2: [55, 90, 90] from Operation: 88+2=90 Current State: 56:[55, 90, 90], Operations: ['88+2=90'] Exploring Operation: 90/90=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 90/90=1 Current State: 56:[55, 1], Operations: ['88+2=90', '90/90=1'] Exploring Operation: 55+1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 45, 5, 64, 7 ]
97
[ "45-5=40", "64-7=57", "40+57=97" ]
Current State: 97:[45, 5, 64, 7], Operations: [] Exploring Operation: 45-5=40, Resulting Numbers: [64, 7, 40] Generated Node #2: [64, 7, 40] from Operation: 45-5=40 Current State: 97:[64, 7, 40], Operations: ['45-5=40'] Exploring Operation: 64-7=57, Resulting Numbers: [40, 57] Generated Node #3: [40, 57] from Operation: 64-7=57 Current State: 97:[40, 57], Operations: ['45-5=40', '64-7=57'] Exploring Operation: 40+57=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 73, 2, 98, 27 ]
54
[ "73-2=71", "98+27=125", "125-71=54" ]
Current State: 54:[73, 2, 98, 27], Operations: [] Exploring Operation: 73-2=71, Resulting Numbers: [98, 27, 71] Generated Node #2: [98, 27, 71] from Operation: 73-2=71 Current State: 54:[98, 27, 71], Operations: ['73-2=71'] Exploring Operation: 98+27=125, Resulting Numbers: [71, 125] Generated Node #3: [71, 125] from Operation: 98+27=125 Current State: 54:[71, 125], Operations: ['73-2=71', '98+27=125'] Exploring Operation: 125-71=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 51, 40, 12, 80 ]
80
[ "51-40=11", "12-11=1", "80*1=80" ]
Current State: 80:[51, 40, 12, 80], Operations: [] Exploring Operation: 51-40=11, Resulting Numbers: [12, 80, 11] Generated Node #2: [12, 80, 11] from Operation: 51-40=11 Current State: 80:[12, 80, 11], Operations: ['51-40=11'] Exploring Operation: 12-11=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 12-11=1 Current State: 80:[80, 1], Operations: ['51-40=11', '12-11=1'] Exploring Operation: 80*1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 5, 56, 11, 23 ]
95
[ "5+56=61", "11+23=34", "61+34=95" ]
Current State: 95:[5, 56, 11, 23], Operations: [] Exploring Operation: 5+56=61, Resulting Numbers: [11, 23, 61] Generated Node #2: [11, 23, 61] from Operation: 5+56=61 Current State: 95:[11, 23, 61], Operations: ['5+56=61'] Exploring Operation: 11+23=34, Resulting Numbers: [61, 34] Generated Node #3: [61, 34] from Operation: 11+23=34 Current State: 95:[61, 34], Operations: ['5+56=61', '11+23=34'] Exploring Operation: 61+34=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 80, 26, 82, 81 ]
28
[ "80+82=162", "162/81=2", "26+2=28" ]
Current State: 28:[80, 26, 82, 81], Operations: [] Exploring Operation: 80+82=162, Resulting Numbers: [26, 81, 162] Generated Node #2: [26, 81, 162] from Operation: 80+82=162 Current State: 28:[26, 81, 162], Operations: ['80+82=162'] Exploring Operation: 162/81=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 162/81=2 Current State: 28:[26, 2], Operations: ['80+82=162', '162/81=2'] Exploring Operation: 26+2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 92, 50, 24, 41 ]
77
[ "92+50=142", "24+41=65", "142-65=77" ]
Current State: 77:[92, 50, 24, 41], Operations: [] Exploring Operation: 92+50=142, Resulting Numbers: [24, 41, 142] Generated Node #2: [24, 41, 142] from Operation: 92+50=142 Current State: 77:[24, 41, 142], Operations: ['92+50=142'] Exploring Operation: 24+41=65, Resulting Numbers: [142, 65] Generated Node #3: [142, 65] from Operation: 24+41=65 Current State: 77:[142, 65], Operations: ['92+50=142', '24+41=65'] Exploring Operation: 142-65=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 4, 51, 1, 69 ]
22
[ "51-4=47", "1*69=69", "69-47=22" ]
Current State: 22:[4, 51, 1, 69], Operations: [] Exploring Operation: 51-4=47, Resulting Numbers: [1, 69, 47] Generated Node #2: [1, 69, 47] from Operation: 51-4=47 Current State: 22:[1, 69, 47], Operations: ['51-4=47'] Exploring Operation: 1*69=69, Resulting Numbers: [47, 69] Generated Node #3: [47, 69] from Operation: 1*69=69 Current State: 22:[47, 69], Operations: ['51-4=47', '1*69=69'] Exploring Operation: 69-47=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 45, 20, 26, 33 ]
84
[ "45-20=25", "26+33=59", "25+59=84" ]
Current State: 84:[45, 20, 26, 33], Operations: [] Exploring Operation: 45-20=25, Resulting Numbers: [26, 33, 25] Generated Node #2: [26, 33, 25] from Operation: 45-20=25 Current State: 84:[26, 33, 25], Operations: ['45-20=25'] Exploring Operation: 26+33=59, Resulting Numbers: [25, 59] Generated Node #3: [25, 59] from Operation: 26+33=59 Current State: 84:[25, 59], Operations: ['45-20=25', '26+33=59'] Exploring Operation: 25+59=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 16, 68, 48, 4 ]
11
[ "68-48=20", "20/4=5", "16-5=11" ]
Current State: 11:[16, 68, 48, 4], Operations: [] Exploring Operation: 68-48=20, Resulting Numbers: [16, 4, 20] Generated Node #2: [16, 4, 20] from Operation: 68-48=20 Current State: 11:[16, 4, 20], Operations: ['68-48=20'] Exploring Operation: 20/4=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 20/4=5 Current State: 11:[16, 5], Operations: ['68-48=20', '20/4=5'] Exploring Operation: 16-5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 48, 4, 30, 34 ]
58
[ "48+30=78", "4*34=136", "136-78=58" ]
Current State: 58:[48, 4, 30, 34], Operations: [] Exploring Operation: 48+30=78, Resulting Numbers: [4, 34, 78] Generated Node #2: [4, 34, 78] from Operation: 48+30=78 Current State: 58:[4, 34, 78], Operations: ['48+30=78'] Exploring Operation: 4*34=136, Resulting Numbers: [78, 136] Generated Node #3: [78, 136] from Operation: 4*34=136 Current State: 58:[78, 136], Operations: ['48+30=78', '4*34=136'] Exploring Operation: 136-78=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 92, 78, 33, 41 ]
22
[ "92-78=14", "41-33=8", "14+8=22" ]
Current State: 22:[92, 78, 33, 41], Operations: [] Exploring Operation: 92-78=14, Resulting Numbers: [33, 41, 14] Generated Node #2: [33, 41, 14] from Operation: 92-78=14 Current State: 22:[33, 41, 14], Operations: ['92-78=14'] Exploring Operation: 41-33=8, Resulting Numbers: [14, 8] Generated Node #3: [14, 8] from Operation: 41-33=8 Current State: 22:[14, 8], Operations: ['92-78=14', '41-33=8'] Exploring Operation: 14+8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 97, 94, 91, 4 ]
96
[ "97+94=191", "91+4=95", "191-95=96" ]
Current State: 96:[97, 94, 91, 4], Operations: [] Exploring Operation: 97+94=191, Resulting Numbers: [91, 4, 191] Generated Node #2: [91, 4, 191] from Operation: 97+94=191 Current State: 96:[91, 4, 191], Operations: ['97+94=191'] Exploring Operation: 91+4=95, Resulting Numbers: [191, 95] Generated Node #3: [191, 95] from Operation: 91+4=95 Current State: 96:[191, 95], Operations: ['97+94=191', '91+4=95'] Exploring Operation: 191-95=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 8, 92, 28, 7 ]
22
[ "92+28=120", "120/8=15", "7+15=22" ]
Current State: 22:[8, 92, 28, 7], Operations: [] Exploring Operation: 92+28=120, Resulting Numbers: [8, 7, 120] Generated Node #2: [8, 7, 120] from Operation: 92+28=120 Current State: 22:[8, 7, 120], Operations: ['92+28=120'] Exploring Operation: 120/8=15, Resulting Numbers: [7, 15] Generated Node #3: [7, 15] from Operation: 120/8=15 Current State: 22:[7, 15], Operations: ['92+28=120', '120/8=15'] Exploring Operation: 7+15=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 32, 10, 8, 12 ]
52
[ "32*10=320", "320/8=40", "12+40=52" ]
Current State: 52:[32, 10, 8, 12], Operations: [] Exploring Operation: 32*10=320, Resulting Numbers: [8, 12, 320] Generated Node #2: [8, 12, 320] from Operation: 32*10=320 Current State: 52:[8, 12, 320], Operations: ['32*10=320'] Exploring Operation: 320/8=40, Resulting Numbers: [12, 40] Generated Node #3: [12, 40] from Operation: 320/8=40 Current State: 52:[12, 40], Operations: ['32*10=320', '320/8=40'] Exploring Operation: 12+40=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 90, 42, 3, 10 ]
30
[ "90/10=9", "42-3=39", "39-9=30" ]
Current State: 30:[90, 42, 3, 10], Operations: [] Exploring Operation: 90/10=9, Resulting Numbers: [42, 3, 9] Generated Node #2: [42, 3, 9] from Operation: 90/10=9 Current State: 30:[42, 3, 9], Operations: ['90/10=9'] Exploring Operation: 42-3=39, Resulting Numbers: [9, 39] Generated Node #3: [9, 39] from Operation: 42-3=39 Current State: 30:[9, 39], Operations: ['90/10=9', '42-3=39'] Exploring Operation: 39-9=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 39, 96, 36, 38 ]
66
[ "39*96=3744", "3744/36=104", "104-38=66" ]
Current State: 66:[39, 96, 36, 38], Operations: [] Exploring Operation: 39*96=3744, Resulting Numbers: [36, 38, 3744] Generated Node #2: [36, 38, 3744] from Operation: 39*96=3744 Current State: 66:[36, 38, 3744], Operations: ['39*96=3744'] Exploring Operation: 3744/36=104, Resulting Numbers: [38, 104] Generated Node #3: [38, 104] from Operation: 3744/36=104 Current State: 66:[38, 104], Operations: ['39*96=3744', '3744/36=104'] Exploring Operation: 104-38=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 87, 82, 83, 43 ]
90
[ "87-83=4", "43*4=172", "172-82=90" ]
Current State: 90:[87, 82, 83, 43], Operations: [] Exploring Operation: 87-83=4, Resulting Numbers: [82, 43, 4] Generated Node #2: [82, 43, 4] from Operation: 87-83=4 Current State: 90:[82, 43, 4], Operations: ['87-83=4'] Exploring Operation: 43*4=172, Resulting Numbers: [82, 172] Generated Node #3: [82, 172] from Operation: 43*4=172 Current State: 90:[82, 172], Operations: ['87-83=4', '43*4=172'] Exploring Operation: 172-82=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 78, 9, 95, 10 ]
36
[ "78-9=69", "95+10=105", "105-69=36" ]
Current State: 36:[78, 9, 95, 10], Operations: [] Exploring Operation: 78-9=69, Resulting Numbers: [95, 10, 69] Generated Node #2: [95, 10, 69] from Operation: 78-9=69 Current State: 36:[95, 10, 69], Operations: ['78-9=69'] Exploring Operation: 95+10=105, Resulting Numbers: [69, 105] Generated Node #3: [69, 105] from Operation: 95+10=105 Current State: 36:[69, 105], Operations: ['78-9=69', '95+10=105'] Exploring Operation: 105-69=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 3, 71, 58, 5 ]
24
[ "71-58=13", "13-5=8", "3*8=24" ]
Current State: 24:[3, 71, 58, 5], Operations: [] Exploring Operation: 71-58=13, Resulting Numbers: [3, 5, 13] Generated Node #2: [3, 5, 13] from Operation: 71-58=13 Current State: 24:[3, 5, 13], Operations: ['71-58=13'] Exploring Operation: 13-5=8, Resulting Numbers: [3, 8] Generated Node #3: [3, 8] from Operation: 13-5=8 Current State: 24:[3, 8], Operations: ['71-58=13', '13-5=8'] Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 67, 54, 2, 75 ]
98
[ "67+54=121", "75+121=196", "196/2=98" ]
Current State: 98:[67, 54, 2, 75], Operations: [] Exploring Operation: 67+54=121, Resulting Numbers: [2, 75, 121] Generated Node #2: [2, 75, 121] from Operation: 67+54=121 Current State: 98:[2, 75, 121], Operations: ['67+54=121'] Exploring Operation: 75+121=196, Resulting Numbers: [2, 196] Generated Node #3: [2, 196] from Operation: 75+121=196 Current State: 98:[2, 196], Operations: ['67+54=121', '75+121=196'] Exploring Operation: 196/2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 99, 69, 78, 79 ]
11
[ "99+69=168", "78+79=157", "168-157=11" ]
Current State: 11:[99, 69, 78, 79], Operations: [] Exploring Operation: 99+69=168, Resulting Numbers: [78, 79, 168] Generated Node #2: [78, 79, 168] from Operation: 99+69=168 Current State: 11:[78, 79, 168], Operations: ['99+69=168'] Exploring Operation: 78+79=157, Resulting Numbers: [168, 157] Generated Node #3: [168, 157] from Operation: 78+79=157 Current State: 11:[168, 157], Operations: ['99+69=168', '78+79=157'] Exploring Operation: 168-157=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 4, 85, 72, 37 ]
55
[ "72-37=35", "4*35=140", "140-85=55" ]
Current State: 55:[4, 85, 72, 37], Operations: [] Exploring Operation: 72-37=35, Resulting Numbers: [4, 85, 35] Generated Node #2: [4, 85, 35] from Operation: 72-37=35 Current State: 55:[4, 85, 35], Operations: ['72-37=35'] Exploring Operation: 4*35=140, Resulting Numbers: [85, 140] Generated Node #3: [85, 140] from Operation: 4*35=140 Current State: 55:[85, 140], Operations: ['72-37=35', '4*35=140'] Exploring Operation: 140-85=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 10, 7, 3, 38 ]
78
[ "7-3=4", "10*4=40", "38+40=78" ]
Current State: 78:[10, 7, 3, 38], Operations: [] Exploring Operation: 7-3=4, Resulting Numbers: [10, 38, 4] Generated Node #2: [10, 38, 4] from Operation: 7-3=4 Current State: 78:[10, 38, 4], Operations: ['7-3=4'] Exploring Operation: 10*4=40, Resulting Numbers: [38, 40] Generated Node #3: [38, 40] from Operation: 10*4=40 Current State: 78:[38, 40], Operations: ['7-3=4', '10*4=40'] Exploring Operation: 38+40=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 32, 22, 9, 68 ]
23
[ "32+22=54", "9+68=77", "77-54=23" ]
Current State: 23:[32, 22, 9, 68], Operations: [] Exploring Operation: 32+22=54, Resulting Numbers: [9, 68, 54] Generated Node #2: [9, 68, 54] from Operation: 32+22=54 Current State: 23:[9, 68, 54], Operations: ['32+22=54'] Exploring Operation: 9+68=77, Resulting Numbers: [54, 77] Generated Node #3: [54, 77] from Operation: 9+68=77 Current State: 23:[54, 77], Operations: ['32+22=54', '9+68=77'] Exploring Operation: 77-54=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 56, 98, 5, 17 ]
64
[ "98-56=42", "5+17=22", "42+22=64" ]
Current State: 64:[56, 98, 5, 17], Operations: [] Exploring Operation: 98-56=42, Resulting Numbers: [5, 17, 42] Generated Node #2: [5, 17, 42] from Operation: 98-56=42 Current State: 64:[5, 17, 42], Operations: ['98-56=42'] Exploring Operation: 5+17=22, Resulting Numbers: [42, 22] Generated Node #3: [42, 22] from Operation: 5+17=22 Current State: 64:[42, 22], Operations: ['98-56=42', '5+17=22'] Exploring Operation: 42+22=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 45, 63, 92, 90 ]
74
[ "45+63=108", "92+90=182", "182-108=74" ]
Current State: 74:[45, 63, 92, 90], Operations: [] Exploring Operation: 45+63=108, Resulting Numbers: [92, 90, 108] Generated Node #2: [92, 90, 108] from Operation: 45+63=108 Current State: 74:[92, 90, 108], Operations: ['45+63=108'] Exploring Operation: 92+90=182, Resulting Numbers: [108, 182] Generated Node #3: [108, 182] from Operation: 92+90=182 Current State: 74:[108, 182], Operations: ['45+63=108', '92+90=182'] Exploring Operation: 182-108=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 42, 86, 46, 23 ]
25
[ "86-42=44", "46+23=69", "69-44=25" ]
Current State: 25:[42, 86, 46, 23], Operations: [] Exploring Operation: 86-42=44, Resulting Numbers: [46, 23, 44] Generated Node #2: [46, 23, 44] from Operation: 86-42=44 Current State: 25:[46, 23, 44], Operations: ['86-42=44'] Exploring Operation: 46+23=69, Resulting Numbers: [44, 69] Generated Node #3: [44, 69] from Operation: 46+23=69 Current State: 25:[44, 69], Operations: ['86-42=44', '46+23=69'] Exploring Operation: 69-44=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 45, 45, 81, 78 ]
93
[ "45+45=90", "81-78=3", "90+3=93" ]
Current State: 93:[45, 45, 81, 78], Operations: [] Exploring Operation: 45+45=90, Resulting Numbers: [81, 78, 90] Generated Node #2: [81, 78, 90] from Operation: 45+45=90 Current State: 93:[81, 78, 90], Operations: ['45+45=90'] Exploring Operation: 81-78=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 81-78=3 Current State: 93:[90, 3], Operations: ['45+45=90', '81-78=3'] Exploring Operation: 90+3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 47, 73, 22, 68 ]
19
[ "73+68=141", "141/47=3", "22-3=19" ]
Current State: 19:[47, 73, 22, 68], Operations: [] Exploring Operation: 73+68=141, Resulting Numbers: [47, 22, 141] Generated Node #2: [47, 22, 141] from Operation: 73+68=141 Current State: 19:[47, 22, 141], Operations: ['73+68=141'] Exploring Operation: 141/47=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 141/47=3 Current State: 19:[22, 3], Operations: ['73+68=141', '141/47=3'] Exploring Operation: 22-3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4