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
[ 76, 51, 74, 21 ]
81
[ "76-74=2", "51*2=102", "102-21=81" ]
Current State: 81:[76, 51, 74, 21], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [51, 21, 2] Generated Node #2: [51, 21, 2] from Operation: 76-74=2 Current State: 81:[51, 21, 2], Operations: ['76-74=2'] Exploring Operation: 51*2=102, Resulting Numbers: [21, 102] Generated Node #3: [21, 102] from Operation: 51*2=102 Current State: 81:[21, 102], Operations: ['76-74=2', '51*2=102'] Exploring Operation: 102-21=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 2, 67, 66, 24 ]
25
[ "67-2=65", "66+24=90", "90-65=25" ]
Current State: 25:[2, 67, 66, 24], Operations: [] Exploring Operation: 67-2=65, Resulting Numbers: [66, 24, 65] Generated Node #2: [66, 24, 65] from Operation: 67-2=65 Current State: 25:[66, 24, 65], Operations: ['67-2=65'] Exploring Operation: 66+24=90, Resulting Numbers: [65, 90] Generated Node #3: [65, 90] from Operation: 66+24=90 Current State: 25:[65, 90], Operations: ['67-2=65', '66+24=90'] Exploring Operation: 90-65=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 10, 93, 67, 37 ]
90
[ "67-37=30", "30/10=3", "93-3=90" ]
Current State: 90:[10, 93, 67, 37], Operations: [] Exploring Operation: 67-37=30, Resulting Numbers: [10, 93, 30] Generated Node #2: [10, 93, 30] from Operation: 67-37=30 Current State: 90:[10, 93, 30], Operations: ['67-37=30'] Exploring Operation: 30/10=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 30/10=3 Current State: 90:[93, 3], Operations: ['67-37=30', '30/10=3'] Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 13, 2, 92, 19 ]
89
[ "19-13=6", "6/2=3", "92-3=89" ]
Current State: 89:[13, 2, 92, 19], Operations: [] Exploring Operation: 19-13=6, Resulting Numbers: [2, 92, 6] Generated Node #2: [2, 92, 6] from Operation: 19-13=6 Current State: 89:[2, 92, 6], Operations: ['19-13=6'] Exploring Operation: 6/2=3, Resulting Numbers: [92, 3] Generated Node #3: [92, 3] from Operation: 6/2=3 Current State: 89:[92, 3], Operations: ['19-13=6', '6/2=3'] Exploring Operation: 92-3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 10, 49, 99, 5 ]
65
[ "49-10=39", "99+5=104", "104-39=65" ]
Current State: 65:[10, 49, 99, 5], Operations: [] Exploring Operation: 49-10=39, Resulting Numbers: [99, 5, 39] Generated Node #2: [99, 5, 39] from Operation: 49-10=39 Current State: 65:[99, 5, 39], Operations: ['49-10=39'] Exploring Operation: 99+5=104, Resulting Numbers: [39, 104] Generated Node #3: [39, 104] from Operation: 99+5=104 Current State: 65:[39, 104], Operations: ['49-10=39', '99+5=104'] Exploring Operation: 104-39=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 58, 92, 44, 2 ]
39
[ "92-58=34", "44+34=78", "78/2=39" ]
Current State: 39:[58, 92, 44, 2], Operations: [] Exploring Operation: 92-58=34, Resulting Numbers: [44, 2, 34] Generated Node #2: [44, 2, 34] from Operation: 92-58=34 Current State: 39:[44, 2, 34], Operations: ['92-58=34'] Exploring Operation: 44+34=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 44+34=78 Current State: 39:[2, 78], Operations: ['92-58=34', '44+34=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 8, 45, 39, 45 ]
39
[ "45-45=0", "8*0=0", "39+0=39" ]
Current State: 39:[8, 45, 39, 45], Operations: [] Exploring Operation: 45-45=0, Resulting Numbers: [8, 39, 0] Generated Node #2: [8, 39, 0] from Operation: 45-45=0 Current State: 39:[8, 39, 0], Operations: ['45-45=0'] Exploring Operation: 8*0=0, Resulting Numbers: [39, 0] Generated Node #3: [39, 0] from Operation: 8*0=0 Current State: 39:[39, 0], Operations: ['45-45=0', '8*0=0'] Exploring Operation: 39+0=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 50, 15, 13, 72 ]
28
[ "15-13=2", "50*2=100", "100-72=28" ]
Current State: 28:[50, 15, 13, 72], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [50, 72, 2] Generated Node #2: [50, 72, 2] from Operation: 15-13=2 Current State: 28:[50, 72, 2], Operations: ['15-13=2'] Exploring Operation: 50*2=100, Resulting Numbers: [72, 100] Generated Node #3: [72, 100] from Operation: 50*2=100 Current State: 28:[72, 100], Operations: ['15-13=2', '50*2=100'] Exploring Operation: 100-72=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 13, 49, 50, 62 ]
75
[ "13+62=75", "50-49=1", "75*1=75" ]
Current State: 75:[13, 49, 50, 62], Operations: [] Exploring Operation: 13+62=75, Resulting Numbers: [49, 50, 75] Generated Node #2: [49, 50, 75] from Operation: 13+62=75 Current State: 75:[49, 50, 75], Operations: ['13+62=75'] Exploring Operation: 50-49=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 50-49=1 Current State: 75:[75, 1], Operations: ['13+62=75', '50-49=1'] Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 57, 22, 17, 19 ]
68
[ "19-17=2", "22/2=11", "57+11=68" ]
Current State: 68:[57, 22, 17, 19], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [57, 22, 2] Generated Node #2: [57, 22, 2] from Operation: 19-17=2 Current State: 68:[57, 22, 2], Operations: ['19-17=2'] Exploring Operation: 22/2=11, Resulting Numbers: [57, 11] Generated Node #3: [57, 11] from Operation: 22/2=11 Current State: 68:[57, 11], Operations: ['19-17=2', '22/2=11'] Exploring Operation: 57+11=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 19, 52, 93, 67 ]
89
[ "19+52=71", "93+67=160", "160-71=89" ]
Current State: 89:[19, 52, 93, 67], Operations: [] Exploring Operation: 19+52=71, Resulting Numbers: [93, 67, 71] Generated Node #2: [93, 67, 71] from Operation: 19+52=71 Current State: 89:[93, 67, 71], Operations: ['19+52=71'] Exploring Operation: 93+67=160, Resulting Numbers: [71, 160] Generated Node #3: [71, 160] from Operation: 93+67=160 Current State: 89:[71, 160], Operations: ['19+52=71', '93+67=160'] Exploring Operation: 160-71=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 44, 96, 48, 1 ]
32
[ "48-44=4", "4-1=3", "96/3=32" ]
Current State: 32:[44, 96, 48, 1], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [96, 1, 4] Generated Node #2: [96, 1, 4] from Operation: 48-44=4 Current State: 32:[96, 1, 4], Operations: ['48-44=4'] Exploring Operation: 4-1=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 4-1=3 Current State: 32:[96, 3], Operations: ['48-44=4', '4-1=3'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 62, 11, 50, 1 ]
67
[ "11-1=10", "50/10=5", "62+5=67" ]
Current State: 67:[62, 11, 50, 1], Operations: [] Exploring Operation: 11-1=10, Resulting Numbers: [62, 50, 10] Generated Node #2: [62, 50, 10] from Operation: 11-1=10 Current State: 67:[62, 50, 10], Operations: ['11-1=10'] Exploring Operation: 50/10=5, Resulting Numbers: [62, 5] Generated Node #3: [62, 5] from Operation: 50/10=5 Current State: 67:[62, 5], Operations: ['11-1=10', '50/10=5'] Exploring Operation: 62+5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 28, 78, 26, 76 ]
37
[ "28-26=2", "78/2=39", "76-39=37" ]
Current State: 37:[28, 78, 26, 76], Operations: [] Exploring Operation: 28-26=2, Resulting Numbers: [78, 76, 2] Generated Node #2: [78, 76, 2] from Operation: 28-26=2 Current State: 37:[78, 76, 2], Operations: ['28-26=2'] Exploring Operation: 78/2=39, Resulting Numbers: [76, 39] Generated Node #3: [76, 39] from Operation: 78/2=39 Current State: 37:[76, 39], Operations: ['28-26=2', '78/2=39'] Exploring Operation: 76-39=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 96, 84, 72, 48 ]
82
[ "96-72=24", "48/24=2", "84-2=82" ]
Current State: 82:[96, 84, 72, 48], Operations: [] Exploring Operation: 96-72=24, Resulting Numbers: [84, 48, 24] Generated Node #2: [84, 48, 24] from Operation: 96-72=24 Current State: 82:[84, 48, 24], Operations: ['96-72=24'] Exploring Operation: 48/24=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 48/24=2 Current State: 82:[84, 2], Operations: ['96-72=24', '48/24=2'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 30, 69, 45, 84 ]
78
[ "69-30=39", "84-45=39", "39+39=78" ]
Current State: 78:[30, 69, 45, 84], Operations: [] Exploring Operation: 69-30=39, Resulting Numbers: [45, 84, 39] Generated Node #2: [45, 84, 39] from Operation: 69-30=39 Current State: 78:[45, 84, 39], Operations: ['69-30=39'] Exploring Operation: 84-45=39, Resulting Numbers: [39, 39] Generated Node #3: [39, 39] from Operation: 84-45=39 Current State: 78:[39, 39], Operations: ['69-30=39', '84-45=39'] Exploring Operation: 39+39=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 41, 40, 48, 71 ]
23
[ "41-40=1", "71-48=23", "1*23=23" ]
Current State: 23:[41, 40, 48, 71], Operations: [] Exploring Operation: 41-40=1, Resulting Numbers: [48, 71, 1] Generated Node #2: [48, 71, 1] from Operation: 41-40=1 Current State: 23:[48, 71, 1], Operations: ['41-40=1'] Exploring Operation: 71-48=23, Resulting Numbers: [1, 23] Generated Node #3: [1, 23] from Operation: 71-48=23 Current State: 23:[1, 23], Operations: ['41-40=1', '71-48=23'] Exploring Operation: 1*23=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 18, 86, 89, 69 ]
29
[ "18+69=87", "89-86=3", "87/3=29" ]
Current State: 29:[18, 86, 89, 69], Operations: [] Exploring Operation: 18+69=87, Resulting Numbers: [86, 89, 87] Generated Node #2: [86, 89, 87] from Operation: 18+69=87 Current State: 29:[86, 89, 87], Operations: ['18+69=87'] Exploring Operation: 89-86=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 89-86=3 Current State: 29:[87, 3], Operations: ['18+69=87', '89-86=3'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 16, 64, 4, 7 ]
51
[ "64-16=48", "7-4=3", "48+3=51" ]
Current State: 51:[16, 64, 4, 7], Operations: [] Exploring Operation: 64-16=48, Resulting Numbers: [4, 7, 48] Generated Node #2: [4, 7, 48] from Operation: 64-16=48 Current State: 51:[4, 7, 48], Operations: ['64-16=48'] Exploring Operation: 7-4=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 7-4=3 Current State: 51:[48, 3], Operations: ['64-16=48', '7-4=3'] Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 16, 47, 73, 71 ]
79
[ "73-71=2", "16*2=32", "47+32=79" ]
Current State: 79:[16, 47, 73, 71], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [16, 47, 2] Generated Node #2: [16, 47, 2] from Operation: 73-71=2 Current State: 79:[16, 47, 2], Operations: ['73-71=2'] Exploring Operation: 16*2=32, Resulting Numbers: [47, 32] Generated Node #3: [47, 32] from Operation: 16*2=32 Current State: 79:[47, 32], Operations: ['73-71=2', '16*2=32'] Exploring Operation: 47+32=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 62, 62, 44, 54 ]
97
[ "62/62=1", "44+54=98", "98-1=97" ]
Current State: 97:[62, 62, 44, 54], Operations: [] Exploring Operation: 62/62=1, Resulting Numbers: [44, 54, 1] Generated Node #2: [44, 54, 1] from Operation: 62/62=1 Current State: 97:[44, 54, 1], Operations: ['62/62=1'] Exploring Operation: 44+54=98, Resulting Numbers: [1, 98] Generated Node #3: [1, 98] from Operation: 44+54=98 Current State: 97:[1, 98], Operations: ['62/62=1', '44+54=98'] Exploring Operation: 98-1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 16, 1, 4, 45 ]
65
[ "16*1=16", "4+45=49", "16+49=65" ]
Current State: 65:[16, 1, 4, 45], Operations: [] Exploring Operation: 16*1=16, Resulting Numbers: [4, 45, 16] Generated Node #2: [4, 45, 16] from Operation: 16*1=16 Current State: 65:[4, 45, 16], Operations: ['16*1=16'] Exploring Operation: 4+45=49, Resulting Numbers: [16, 49] Generated Node #3: [16, 49] from Operation: 4+45=49 Current State: 65:[16, 49], Operations: ['16*1=16', '4+45=49'] Exploring Operation: 16+49=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 1, 78, 64, 62 ]
47
[ "1+78=79", "64+62=126", "126-79=47" ]
Current State: 47:[1, 78, 64, 62], Operations: [] Exploring Operation: 1+78=79, Resulting Numbers: [64, 62, 79] Generated Node #2: [64, 62, 79] from Operation: 1+78=79 Current State: 47:[64, 62, 79], Operations: ['1+78=79'] Exploring Operation: 64+62=126, Resulting Numbers: [79, 126] Generated Node #3: [79, 126] from Operation: 64+62=126 Current State: 47:[79, 126], Operations: ['1+78=79', '64+62=126'] Exploring Operation: 126-79=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 72, 94, 78, 39 ]
83
[ "72+94=166", "78/39=2", "166/2=83" ]
Current State: 83:[72, 94, 78, 39], Operations: [] Exploring Operation: 72+94=166, Resulting Numbers: [78, 39, 166] Generated Node #2: [78, 39, 166] from Operation: 72+94=166 Current State: 83:[78, 39, 166], Operations: ['72+94=166'] Exploring Operation: 78/39=2, Resulting Numbers: [166, 2] Generated Node #3: [166, 2] from Operation: 78/39=2 Current State: 83:[166, 2], Operations: ['72+94=166', '78/39=2'] Exploring Operation: 166/2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 84, 64, 32, 96 ]
94
[ "84*96=8064", "8064/64=126", "126-32=94" ]
Current State: 94:[84, 64, 32, 96], Operations: [] Exploring Operation: 84*96=8064, Resulting Numbers: [64, 32, 8064] Generated Node #2: [64, 32, 8064] from Operation: 84*96=8064 Current State: 94:[64, 32, 8064], Operations: ['84*96=8064'] Exploring Operation: 8064/64=126, Resulting Numbers: [32, 126] Generated Node #3: [32, 126] from Operation: 8064/64=126 Current State: 94:[32, 126], Operations: ['84*96=8064', '8064/64=126'] Exploring Operation: 126-32=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 98, 70, 25, 85 ]
94
[ "98*85=8330", "8330/70=119", "119-25=94" ]
Current State: 94:[98, 70, 25, 85], Operations: [] Exploring Operation: 98*85=8330, Resulting Numbers: [70, 25, 8330] Generated Node #2: [70, 25, 8330] from Operation: 98*85=8330 Current State: 94:[70, 25, 8330], Operations: ['98*85=8330'] Exploring Operation: 8330/70=119, Resulting Numbers: [25, 119] Generated Node #3: [25, 119] from Operation: 8330/70=119 Current State: 94:[25, 119], Operations: ['98*85=8330', '8330/70=119'] Exploring Operation: 119-25=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 80, 24, 20, 27 ]
84
[ "80/20=4", "27*4=108", "108-24=84" ]
Current State: 84:[80, 24, 20, 27], Operations: [] Exploring Operation: 80/20=4, Resulting Numbers: [24, 27, 4] Generated Node #2: [24, 27, 4] from Operation: 80/20=4 Current State: 84:[24, 27, 4], Operations: ['80/20=4'] Exploring Operation: 27*4=108, Resulting Numbers: [24, 108] Generated Node #3: [24, 108] from Operation: 27*4=108 Current State: 84:[24, 108], Operations: ['80/20=4', '27*4=108'] Exploring Operation: 108-24=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 59, 81, 79, 74 ]
89
[ "81-79=2", "74*2=148", "148-59=89" ]
Current State: 89:[59, 81, 79, 74], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [59, 74, 2] Generated Node #2: [59, 74, 2] from Operation: 81-79=2 Current State: 89:[59, 74, 2], Operations: ['81-79=2'] Exploring Operation: 74*2=148, Resulting Numbers: [59, 148] Generated Node #3: [59, 148] from Operation: 74*2=148 Current State: 89:[59, 148], Operations: ['81-79=2', '74*2=148'] Exploring Operation: 148-59=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 63, 48, 17, 16 ]
18
[ "63-48=15", "17+16=33", "33-15=18" ]
Current State: 18:[63, 48, 17, 16], Operations: [] Exploring Operation: 63-48=15, Resulting Numbers: [17, 16, 15] Generated Node #2: [17, 16, 15] from Operation: 63-48=15 Current State: 18:[17, 16, 15], Operations: ['63-48=15'] Exploring Operation: 17+16=33, Resulting Numbers: [15, 33] Generated Node #3: [15, 33] from Operation: 17+16=33 Current State: 18:[15, 33], Operations: ['63-48=15', '17+16=33'] Exploring Operation: 33-15=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 5, 41, 86, 44 ]
27
[ "86-5=81", "44-41=3", "81/3=27" ]
Current State: 27:[5, 41, 86, 44], Operations: [] Exploring Operation: 86-5=81, Resulting Numbers: [41, 44, 81] Generated Node #2: [41, 44, 81] from Operation: 86-5=81 Current State: 27:[41, 44, 81], Operations: ['86-5=81'] Exploring Operation: 44-41=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 44-41=3 Current State: 27:[81, 3], Operations: ['86-5=81', '44-41=3'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 92, 80, 78, 76 ]
30
[ "80-78=2", "92/2=46", "76-46=30" ]
Current State: 30:[92, 80, 78, 76], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [92, 76, 2] Generated Node #2: [92, 76, 2] from Operation: 80-78=2 Current State: 30:[92, 76, 2], Operations: ['80-78=2'] Exploring Operation: 92/2=46, Resulting Numbers: [76, 46] Generated Node #3: [76, 46] from Operation: 92/2=46 Current State: 30:[76, 46], Operations: ['80-78=2', '92/2=46'] Exploring Operation: 76-46=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 58, 76, 59, 18 ]
95
[ "76-58=18", "59+18=77", "18+77=95" ]
Current State: 95:[58, 76, 59, 18], Operations: [] Exploring Operation: 76-58=18, Resulting Numbers: [59, 18, 18] Generated Node #2: [59, 18, 18] from Operation: 76-58=18 Current State: 95:[59, 18, 18], Operations: ['76-58=18'] Exploring Operation: 59+18=77, Resulting Numbers: [77] 77,95 equal: Goal Reached Exploring Operation: 18+77=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 34, 26, 38, 70 ]
42
[ "34+70=104", "104/26=4", "38+4=42" ]
Current State: 42:[34, 26, 38, 70], Operations: [] Exploring Operation: 34+70=104, Resulting Numbers: [26, 38, 104] Generated Node #2: [26, 38, 104] from Operation: 34+70=104 Current State: 42:[26, 38, 104], Operations: ['34+70=104'] Exploring Operation: 104/26=4, Resulting Numbers: [38, 4] Generated Node #3: [38, 4] from Operation: 104/26=4 Current State: 42:[38, 4], Operations: ['34+70=104', '104/26=4'] Exploring Operation: 38+4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 81, 75, 3, 65 ]
67
[ "81-75=6", "6/3=2", "65+2=67" ]
Current State: 67:[81, 75, 3, 65], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [3, 65, 6] Generated Node #2: [3, 65, 6] from Operation: 81-75=6 Current State: 67:[3, 65, 6], Operations: ['81-75=6'] Exploring Operation: 6/3=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 6/3=2 Current State: 67:[65, 2], Operations: ['81-75=6', '6/3=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 40, 61, 42, 78 ]
65
[ "40+61=101", "78-42=36", "101-36=65" ]
Current State: 65:[40, 61, 42, 78], Operations: [] Exploring Operation: 40+61=101, Resulting Numbers: [42, 78, 101] Generated Node #2: [42, 78, 101] from Operation: 40+61=101 Current State: 65:[42, 78, 101], Operations: ['40+61=101'] Exploring Operation: 78-42=36, Resulting Numbers: [101, 36] Generated Node #3: [101, 36] from Operation: 78-42=36 Current State: 65:[101, 36], Operations: ['40+61=101', '78-42=36'] Exploring Operation: 101-36=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 34, 10, 57, 76 ]
33
[ "34+10=44", "57*44=2508", "2508/76=33" ]
Current State: 33:[34, 10, 57, 76], Operations: [] Exploring Operation: 34+10=44, Resulting Numbers: [57, 76, 44] Generated Node #2: [57, 76, 44] from Operation: 34+10=44 Current State: 33:[57, 76, 44], Operations: ['34+10=44'] Exploring Operation: 57*44=2508, Resulting Numbers: [76, 2508] Generated Node #3: [76, 2508] from Operation: 57*44=2508 Current State: 33:[76, 2508], Operations: ['34+10=44', '57*44=2508'] Exploring Operation: 2508/76=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 26, 15, 88, 30 ]
17
[ "26+15=41", "88-30=58", "58-41=17" ]
Current State: 17:[26, 15, 88, 30], Operations: [] Exploring Operation: 26+15=41, Resulting Numbers: [88, 30, 41] Generated Node #2: [88, 30, 41] from Operation: 26+15=41 Current State: 17:[88, 30, 41], Operations: ['26+15=41'] Exploring Operation: 88-30=58, Resulting Numbers: [41, 58] Generated Node #3: [41, 58] from Operation: 88-30=58 Current State: 17:[41, 58], Operations: ['26+15=41', '88-30=58'] Exploring Operation: 58-41=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 58, 51, 91, 97 ]
55
[ "51*97=4947", "58+4947=5005", "5005/91=55" ]
Current State: 55:[58, 51, 91, 97], Operations: [] Exploring Operation: 51*97=4947, Resulting Numbers: [58, 91, 4947] Generated Node #2: [58, 91, 4947] from Operation: 51*97=4947 Current State: 55:[58, 91, 4947], Operations: ['51*97=4947'] Exploring Operation: 58+4947=5005, Resulting Numbers: [91, 5005] Generated Node #3: [91, 5005] from Operation: 58+4947=5005 Current State: 55:[91, 5005], Operations: ['51*97=4947', '58+4947=5005'] Exploring Operation: 5005/91=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 52, 28, 54, 83 ]
85
[ "54-28=26", "52/26=2", "83+2=85" ]
Current State: 85:[52, 28, 54, 83], Operations: [] Exploring Operation: 54-28=26, Resulting Numbers: [52, 83, 26] Generated Node #2: [52, 83, 26] from Operation: 54-28=26 Current State: 85:[52, 83, 26], Operations: ['54-28=26'] Exploring Operation: 52/26=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 52/26=2 Current State: 85:[83, 2], Operations: ['54-28=26', '52/26=2'] Exploring Operation: 83+2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 90, 11, 29, 77 ]
72
[ "29-11=18", "90/18=5", "77-5=72" ]
Current State: 72:[90, 11, 29, 77], Operations: [] Exploring Operation: 29-11=18, Resulting Numbers: [90, 77, 18] Generated Node #2: [90, 77, 18] from Operation: 29-11=18 Current State: 72:[90, 77, 18], Operations: ['29-11=18'] Exploring Operation: 90/18=5, Resulting Numbers: [77, 5] Generated Node #3: [77, 5] from Operation: 90/18=5 Current State: 72:[77, 5], Operations: ['29-11=18', '90/18=5'] Exploring Operation: 77-5=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 43, 98, 19, 3 ]
38
[ "98-3=95", "95/19=5", "43-5=38" ]
Current State: 38:[43, 98, 19, 3], Operations: [] Exploring Operation: 98-3=95, Resulting Numbers: [43, 19, 95] Generated Node #2: [43, 19, 95] from Operation: 98-3=95 Current State: 38:[43, 19, 95], Operations: ['98-3=95'] Exploring Operation: 95/19=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 95/19=5 Current State: 38:[43, 5], Operations: ['98-3=95', '95/19=5'] Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 81, 84, 3, 2 ]
11
[ "84-81=3", "3*3=9", "2+9=11" ]
Current State: 11:[81, 84, 3, 2], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [3, 2, 3] Generated Node #2: [3, 2, 3] from Operation: 84-81=3 Current State: 11:[3, 2, 3], Operations: ['84-81=3'] Exploring Operation: 3*3=9, Resulting Numbers: [2, 9] Generated Node #3: [2, 9] from Operation: 3*3=9 Current State: 11:[2, 9], Operations: ['84-81=3', '3*3=9'] Exploring Operation: 2+9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 47, 64, 11, 78 ]
44
[ "47+64=111", "78-11=67", "111-67=44" ]
Current State: 44:[47, 64, 11, 78], Operations: [] Exploring Operation: 47+64=111, Resulting Numbers: [11, 78, 111] Generated Node #2: [11, 78, 111] from Operation: 47+64=111 Current State: 44:[11, 78, 111], Operations: ['47+64=111'] Exploring Operation: 78-11=67, Resulting Numbers: [111, 67] Generated Node #3: [111, 67] from Operation: 78-11=67 Current State: 44:[111, 67], Operations: ['47+64=111', '78-11=67'] Exploring Operation: 111-67=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 25, 24, 8, 48 ]
76
[ "25+48=73", "24/8=3", "73+3=76" ]
Current State: 76:[25, 24, 8, 48], Operations: [] Exploring Operation: 25+48=73, Resulting Numbers: [24, 8, 73] Generated Node #2: [24, 8, 73] from Operation: 25+48=73 Current State: 76:[24, 8, 73], Operations: ['25+48=73'] Exploring Operation: 24/8=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 24/8=3 Current State: 76:[73, 3], Operations: ['25+48=73', '24/8=3'] Exploring Operation: 73+3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 6, 11, 99, 83 ]
68
[ "83-6=77", "99/11=9", "77-9=68" ]
Current State: 68:[6, 11, 99, 83], Operations: [] Exploring Operation: 83-6=77, Resulting Numbers: [11, 99, 77] Generated Node #2: [11, 99, 77] from Operation: 83-6=77 Current State: 68:[11, 99, 77], Operations: ['83-6=77'] Exploring Operation: 99/11=9, Resulting Numbers: [77, 9] Generated Node #3: [77, 9] from Operation: 99/11=9 Current State: 68:[77, 9], Operations: ['83-6=77', '99/11=9'] Exploring Operation: 77-9=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 29, 81, 12, 83 ]
34
[ "29-12=17", "83-81=2", "17*2=34" ]
Current State: 34:[29, 81, 12, 83], Operations: [] Exploring Operation: 29-12=17, Resulting Numbers: [81, 83, 17] Generated Node #2: [81, 83, 17] from Operation: 29-12=17 Current State: 34:[81, 83, 17], Operations: ['29-12=17'] Exploring Operation: 83-81=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 83-81=2 Current State: 34:[17, 2], Operations: ['29-12=17', '83-81=2'] Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 22, 71, 59, 61 ]
71
[ "71-22=49", "59+61=120", "120-49=71" ]
Current State: 71:[22, 71, 59, 61], Operations: [] Exploring Operation: 71-22=49, Resulting Numbers: [59, 61, 49] Generated Node #2: [59, 61, 49] from Operation: 71-22=49 Current State: 71:[59, 61, 49], Operations: ['71-22=49'] Exploring Operation: 59+61=120, Resulting Numbers: [49, 120] Generated Node #3: [49, 120] from Operation: 59+61=120 Current State: 71:[49, 120], Operations: ['71-22=49', '59+61=120'] Exploring Operation: 120-49=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 68, 65, 29, 22 ]
71
[ "65+22=87", "87/29=3", "68+3=71" ]
Current State: 71:[68, 65, 29, 22], Operations: [] Exploring Operation: 65+22=87, Resulting Numbers: [68, 29, 87] Generated Node #2: [68, 29, 87] from Operation: 65+22=87 Current State: 71:[68, 29, 87], Operations: ['65+22=87'] Exploring Operation: 87/29=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 87/29=3 Current State: 71:[68, 3], Operations: ['65+22=87', '87/29=3'] Exploring Operation: 68+3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 6, 24, 10, 42 ]
28
[ "24/6=4", "42-10=32", "32-4=28" ]
Current State: 28:[6, 24, 10, 42], Operations: [] Exploring Operation: 24/6=4, Resulting Numbers: [10, 42, 4] Generated Node #2: [10, 42, 4] from Operation: 24/6=4 Current State: 28:[10, 42, 4], Operations: ['24/6=4'] Exploring Operation: 42-10=32, Resulting Numbers: [4, 32] Generated Node #3: [4, 32] from Operation: 42-10=32 Current State: 28:[4, 32], Operations: ['24/6=4', '42-10=32'] Exploring Operation: 32-4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 8, 78, 75, 16 ]
80
[ "78-8=70", "75-70=5", "16*5=80" ]
Current State: 80:[8, 78, 75, 16], Operations: [] Exploring Operation: 78-8=70, Resulting Numbers: [75, 16, 70] Generated Node #2: [75, 16, 70] from Operation: 78-8=70 Current State: 80:[75, 16, 70], Operations: ['78-8=70'] Exploring Operation: 75-70=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 75-70=5 Current State: 80:[16, 5], Operations: ['78-8=70', '75-70=5'] Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 81, 96, 29, 4 ]
11
[ "96-81=15", "29+15=44", "44/4=11" ]
Current State: 11:[81, 96, 29, 4], Operations: [] Exploring Operation: 96-81=15, Resulting Numbers: [29, 4, 15] Generated Node #2: [29, 4, 15] from Operation: 96-81=15 Current State: 11:[29, 4, 15], Operations: ['96-81=15'] Exploring Operation: 29+15=44, Resulting Numbers: [4, 44] Generated Node #3: [4, 44] from Operation: 29+15=44 Current State: 11:[4, 44], Operations: ['96-81=15', '29+15=44'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 86, 13, 15, 51 ]
70
[ "86-51=35", "15-13=2", "35*2=70" ]
Current State: 70:[86, 13, 15, 51], Operations: [] Exploring Operation: 86-51=35, Resulting Numbers: [13, 15, 35] Generated Node #2: [13, 15, 35] from Operation: 86-51=35 Current State: 70:[13, 15, 35], Operations: ['86-51=35'] Exploring Operation: 15-13=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 15-13=2 Current State: 70:[35, 2], Operations: ['86-51=35', '15-13=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 44, 69, 39, 60 ]
51
[ "44*60=2640", "69*39=2691", "2691-2640=51" ]
Current State: 51:[44, 69, 39, 60], Operations: [] Exploring Operation: 44*60=2640, Resulting Numbers: [69, 39, 2640] Generated Node #2: [69, 39, 2640] from Operation: 44*60=2640 Current State: 51:[69, 39, 2640], Operations: ['44*60=2640'] Exploring Operation: 69*39=2691, Resulting Numbers: [2640, 2691] Generated Node #3: [2640, 2691] from Operation: 69*39=2691 Current State: 51:[2640, 2691], Operations: ['44*60=2640', '69*39=2691'] Exploring Operation: 2691-2640=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 43, 7, 54, 5 ]
67
[ "7*54=378", "378-43=335", "335/5=67" ]
Current State: 67:[43, 7, 54, 5], Operations: [] Exploring Operation: 7*54=378, Resulting Numbers: [43, 5, 378] Generated Node #2: [43, 5, 378] from Operation: 7*54=378 Current State: 67:[43, 5, 378], Operations: ['7*54=378'] Exploring Operation: 378-43=335, Resulting Numbers: [5, 335] Generated Node #3: [5, 335] from Operation: 378-43=335 Current State: 67:[5, 335], Operations: ['7*54=378', '378-43=335'] Exploring Operation: 335/5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 18, 17, 31, 90 ]
24
[ "18+17=35", "90-31=59", "59-35=24" ]
Current State: 24:[18, 17, 31, 90], Operations: [] Exploring Operation: 18+17=35, Resulting Numbers: [31, 90, 35] Generated Node #2: [31, 90, 35] from Operation: 18+17=35 Current State: 24:[31, 90, 35], Operations: ['18+17=35'] Exploring Operation: 90-31=59, Resulting Numbers: [35, 59] Generated Node #3: [35, 59] from Operation: 90-31=59 Current State: 24:[35, 59], Operations: ['18+17=35', '90-31=59'] Exploring Operation: 59-35=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 12, 86, 44, 5 ]
35
[ "86-12=74", "44-5=39", "74-39=35" ]
Current State: 35:[12, 86, 44, 5], Operations: [] Exploring Operation: 86-12=74, Resulting Numbers: [44, 5, 74] Generated Node #2: [44, 5, 74] from Operation: 86-12=74 Current State: 35:[44, 5, 74], Operations: ['86-12=74'] Exploring Operation: 44-5=39, Resulting Numbers: [74, 39] Generated Node #3: [74, 39] from Operation: 44-5=39 Current State: 35:[74, 39], Operations: ['86-12=74', '44-5=39'] Exploring Operation: 74-39=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 18, 47, 47, 60 ]
42
[ "18+47=65", "47+60=107", "107-65=42" ]
Current State: 42:[18, 47, 47, 60], Operations: [] Exploring Operation: 18+47=65, Resulting Numbers: [60, 65] Generated Node #2: [60, 65] from Operation: 18+47=65 Current State: 42:[60, 65], Operations: ['18+47=65'] Exploring Operation: 47+60=107, Resulting Numbers: [65, 107] Generated Node #3: [65, 107] from Operation: 47+60=107 Current State: 42:[65, 107], Operations: ['18+47=65', '47+60=107'] Exploring Operation: 107-65=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 15, 86, 12, 33 ]
83
[ "12+33=45", "45/15=3", "86-3=83" ]
Current State: 83:[15, 86, 12, 33], Operations: [] Exploring Operation: 12+33=45, Resulting Numbers: [15, 86, 45] Generated Node #2: [15, 86, 45] from Operation: 12+33=45 Current State: 83:[15, 86, 45], Operations: ['12+33=45'] Exploring Operation: 45/15=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 45/15=3 Current State: 83:[86, 3], Operations: ['12+33=45', '45/15=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 32, 48, 3, 50 ]
94
[ "32*3=96", "50-48=2", "96-2=94" ]
Current State: 94:[32, 48, 3, 50], Operations: [] Exploring Operation: 32*3=96, Resulting Numbers: [48, 50, 96] Generated Node #2: [48, 50, 96] from Operation: 32*3=96 Current State: 94:[48, 50, 96], Operations: ['32*3=96'] Exploring Operation: 50-48=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 50-48=2 Current State: 94:[96, 2], Operations: ['32*3=96', '50-48=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 54, 29, 89, 20 ]
57
[ "89-29=60", "60/20=3", "54+3=57" ]
Current State: 57:[54, 29, 89, 20], Operations: [] Exploring Operation: 89-29=60, Resulting Numbers: [54, 20, 60] Generated Node #2: [54, 20, 60] from Operation: 89-29=60 Current State: 57:[54, 20, 60], Operations: ['89-29=60'] Exploring Operation: 60/20=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 60/20=3 Current State: 57:[54, 3], Operations: ['89-29=60', '60/20=3'] Exploring Operation: 54+3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 6, 37, 13, 14 ]
61
[ "13-6=7", "14*7=98", "98-37=61" ]
Current State: 61:[6, 37, 13, 14], Operations: [] Exploring Operation: 13-6=7, Resulting Numbers: [37, 14, 7] Generated Node #2: [37, 14, 7] from Operation: 13-6=7 Current State: 61:[37, 14, 7], Operations: ['13-6=7'] Exploring Operation: 14*7=98, Resulting Numbers: [37, 98] Generated Node #3: [37, 98] from Operation: 14*7=98 Current State: 61:[37, 98], Operations: ['13-6=7', '14*7=98'] Exploring Operation: 98-37=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 60, 20, 21, 12 ]
15
[ "60/20=3", "12*3=36", "36-21=15" ]
Current State: 15:[60, 20, 21, 12], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [21, 12, 3] Generated Node #2: [21, 12, 3] from Operation: 60/20=3 Current State: 15:[21, 12, 3], Operations: ['60/20=3'] Exploring Operation: 12*3=36, Resulting Numbers: [21, 36] Generated Node #3: [21, 36] from Operation: 12*3=36 Current State: 15:[21, 36], Operations: ['60/20=3', '12*3=36'] Exploring Operation: 36-21=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 16, 69, 75, 65 ]
95
[ "16+69=85", "75-65=10", "85+10=95" ]
Current State: 95:[16, 69, 75, 65], Operations: [] Exploring Operation: 16+69=85, Resulting Numbers: [75, 65, 85] Generated Node #2: [75, 65, 85] from Operation: 16+69=85 Current State: 95:[75, 65, 85], Operations: ['16+69=85'] Exploring Operation: 75-65=10, Resulting Numbers: [85, 10] Generated Node #3: [85, 10] from Operation: 75-65=10 Current State: 95:[85, 10], Operations: ['16+69=85', '75-65=10'] Exploring Operation: 85+10=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 76, 27, 31, 56 ]
90
[ "31-27=4", "56/4=14", "76+14=90" ]
Current State: 90:[76, 27, 31, 56], Operations: [] Exploring Operation: 31-27=4, Resulting Numbers: [76, 56, 4] Generated Node #2: [76, 56, 4] from Operation: 31-27=4 Current State: 90:[76, 56, 4], Operations: ['31-27=4'] Exploring Operation: 56/4=14, Resulting Numbers: [76, 14] Generated Node #3: [76, 14] from Operation: 56/4=14 Current State: 90:[76, 14], Operations: ['31-27=4', '56/4=14'] Exploring Operation: 76+14=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 6, 78, 59, 3 ]
92
[ "6*59=354", "354-78=276", "276/3=92" ]
Current State: 92:[6, 78, 59, 3], Operations: [] Exploring Operation: 6*59=354, Resulting Numbers: [78, 3, 354] Generated Node #2: [78, 3, 354] from Operation: 6*59=354 Current State: 92:[78, 3, 354], Operations: ['6*59=354'] Exploring Operation: 354-78=276, Resulting Numbers: [3, 276] Generated Node #3: [3, 276] from Operation: 354-78=276 Current State: 92:[3, 276], Operations: ['6*59=354', '354-78=276'] Exploring Operation: 276/3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 47, 21, 20, 18 ]
34
[ "47+21=68", "20-18=2", "68/2=34" ]
Current State: 34:[47, 21, 20, 18], Operations: [] Exploring Operation: 47+21=68, Resulting Numbers: [20, 18, 68] Generated Node #2: [20, 18, 68] from Operation: 47+21=68 Current State: 34:[20, 18, 68], Operations: ['47+21=68'] Exploring Operation: 20-18=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 20-18=2 Current State: 34:[68, 2], Operations: ['47+21=68', '20-18=2'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 3, 48, 65, 2 ]
14
[ "3*48=144", "65*2=130", "144-130=14" ]
Current State: 14:[3, 48, 65, 2], Operations: [] Exploring Operation: 3*48=144, Resulting Numbers: [65, 2, 144] Generated Node #2: [65, 2, 144] from Operation: 3*48=144 Current State: 14:[65, 2, 144], Operations: ['3*48=144'] Exploring Operation: 65*2=130, Resulting Numbers: [144, 130] Generated Node #3: [144, 130] from Operation: 65*2=130 Current State: 14:[144, 130], Operations: ['3*48=144', '65*2=130'] Exploring Operation: 144-130=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 16, 17, 52, 69 ]
47
[ "16+69=85", "85/17=5", "52-5=47" ]
Current State: 47:[16, 17, 52, 69], Operations: [] Exploring Operation: 16+69=85, Resulting Numbers: [17, 52, 85] Generated Node #2: [17, 52, 85] from Operation: 16+69=85 Current State: 47:[17, 52, 85], Operations: ['16+69=85'] Exploring Operation: 85/17=5, Resulting Numbers: [52, 5] Generated Node #3: [52, 5] from Operation: 85/17=5 Current State: 47:[52, 5], Operations: ['16+69=85', '85/17=5'] Exploring Operation: 52-5=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 37, 37, 28, 12 ]
12
[ "37-37=0", "28*0=0", "12+0=12" ]
Current State: 12:[37, 37, 28, 12], Operations: [] Exploring Operation: 37-37=0, Resulting Numbers: [28, 12, 0] Generated Node #2: [28, 12, 0] from Operation: 37-37=0 Current State: 12:[28, 12, 0], Operations: ['37-37=0'] Exploring Operation: 28*0=0, Resulting Numbers: [12, 0] Generated Node #3: [12, 0] from Operation: 28*0=0 Current State: 12:[12, 0], Operations: ['37-37=0', '28*0=0'] Exploring Operation: 12+0=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 95, 34, 30, 60 ]
91
[ "95-34=61", "60-30=30", "61+30=91" ]
Current State: 91:[95, 34, 30, 60], Operations: [] Exploring Operation: 95-34=61, Resulting Numbers: [30, 60, 61] Generated Node #2: [30, 60, 61] from Operation: 95-34=61 Current State: 91:[30, 60, 61], Operations: ['95-34=61'] Exploring Operation: 60-30=30, Resulting Numbers: [61, 30] Generated Node #3: [61, 30] from Operation: 60-30=30 Current State: 91:[61, 30], Operations: ['95-34=61', '60-30=30'] Exploring Operation: 61+30=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 84, 33, 2, 96 ]
69
[ "84+33=117", "96/2=48", "117-48=69" ]
Current State: 69:[84, 33, 2, 96], Operations: [] Exploring Operation: 84+33=117, Resulting Numbers: [2, 96, 117] Generated Node #2: [2, 96, 117] from Operation: 84+33=117 Current State: 69:[2, 96, 117], Operations: ['84+33=117'] Exploring Operation: 96/2=48, Resulting Numbers: [117, 48] Generated Node #3: [117, 48] from Operation: 96/2=48 Current State: 69:[117, 48], Operations: ['84+33=117', '96/2=48'] Exploring Operation: 117-48=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 5, 73, 85, 8 ]
56
[ "5+73=78", "85-78=7", "8*7=56" ]
Current State: 56:[5, 73, 85, 8], Operations: [] Exploring Operation: 5+73=78, Resulting Numbers: [85, 8, 78] Generated Node #2: [85, 8, 78] from Operation: 5+73=78 Current State: 56:[85, 8, 78], Operations: ['5+73=78'] Exploring Operation: 85-78=7, Resulting Numbers: [8, 7] Generated Node #3: [8, 7] from Operation: 85-78=7 Current State: 56:[8, 7], Operations: ['5+73=78', '85-78=7'] Exploring Operation: 8*7=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 80, 55, 15, 94 ]
54
[ "80-55=25", "94-15=79", "79-25=54" ]
Current State: 54:[80, 55, 15, 94], Operations: [] Exploring Operation: 80-55=25, Resulting Numbers: [15, 94, 25] Generated Node #2: [15, 94, 25] from Operation: 80-55=25 Current State: 54:[15, 94, 25], Operations: ['80-55=25'] Exploring Operation: 94-15=79, Resulting Numbers: [25, 79] Generated Node #3: [25, 79] from Operation: 94-15=79 Current State: 54:[25, 79], Operations: ['80-55=25', '94-15=79'] Exploring Operation: 79-25=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 62, 50, 1, 58 ]
46
[ "62-50=12", "1*58=58", "58-12=46" ]
Current State: 46:[62, 50, 1, 58], Operations: [] Exploring Operation: 62-50=12, Resulting Numbers: [1, 58, 12] Generated Node #2: [1, 58, 12] from Operation: 62-50=12 Current State: 46:[1, 58, 12], Operations: ['62-50=12'] Exploring Operation: 1*58=58, Resulting Numbers: [12, 58] Generated Node #3: [12, 58] from Operation: 1*58=58 Current State: 46:[12, 58], Operations: ['62-50=12', '1*58=58'] Exploring Operation: 58-12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 35, 83, 81, 30 ]
50
[ "83-81=2", "30/2=15", "35+15=50" ]
Current State: 50:[35, 83, 81, 30], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [35, 30, 2] Generated Node #2: [35, 30, 2] from Operation: 83-81=2 Current State: 50:[35, 30, 2], Operations: ['83-81=2'] Exploring Operation: 30/2=15, Resulting Numbers: [35, 15] Generated Node #3: [35, 15] from Operation: 30/2=15 Current State: 50:[35, 15], Operations: ['83-81=2', '30/2=15'] Exploring Operation: 35+15=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 52, 66, 21, 74 ]
63
[ "74-52=22", "66*21=1386", "1386/22=63" ]
Current State: 63:[52, 66, 21, 74], Operations: [] Exploring Operation: 74-52=22, Resulting Numbers: [66, 21, 22] Generated Node #2: [66, 21, 22] from Operation: 74-52=22 Current State: 63:[66, 21, 22], Operations: ['74-52=22'] Exploring Operation: 66*21=1386, Resulting Numbers: [22, 1386] Generated Node #3: [22, 1386] from Operation: 66*21=1386 Current State: 63:[22, 1386], Operations: ['74-52=22', '66*21=1386'] Exploring Operation: 1386/22=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 44, 3, 28, 77 ]
19
[ "44*28=1232", "1232/77=16", "3+16=19" ]
Current State: 19:[44, 3, 28, 77], Operations: [] Exploring Operation: 44*28=1232, Resulting Numbers: [3, 77, 1232] Generated Node #2: [3, 77, 1232] from Operation: 44*28=1232 Current State: 19:[3, 77, 1232], Operations: ['44*28=1232'] Exploring Operation: 1232/77=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 1232/77=16 Current State: 19:[3, 16], Operations: ['44*28=1232', '1232/77=16'] Exploring Operation: 3+16=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 26, 23, 39, 3 ]
56
[ "39-26=13", "23*3=69", "69-13=56" ]
Current State: 56:[26, 23, 39, 3], Operations: [] Exploring Operation: 39-26=13, Resulting Numbers: [23, 3, 13] Generated Node #2: [23, 3, 13] from Operation: 39-26=13 Current State: 56:[23, 3, 13], Operations: ['39-26=13'] Exploring Operation: 23*3=69, Resulting Numbers: [13, 69] Generated Node #3: [13, 69] from Operation: 23*3=69 Current State: 56:[13, 69], Operations: ['39-26=13', '23*3=69'] Exploring Operation: 69-13=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 73, 38, 5, 31 ]
13
[ "73*5=365", "38+365=403", "403/31=13" ]
Current State: 13:[73, 38, 5, 31], Operations: [] Exploring Operation: 73*5=365, Resulting Numbers: [38, 31, 365] Generated Node #2: [38, 31, 365] from Operation: 73*5=365 Current State: 13:[38, 31, 365], Operations: ['73*5=365'] Exploring Operation: 38+365=403, Resulting Numbers: [31, 403] Generated Node #3: [31, 403] from Operation: 38+365=403 Current State: 13:[31, 403], Operations: ['73*5=365', '38+365=403'] Exploring Operation: 403/31=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 70, 66, 42, 22 ]
72
[ "70+66=136", "42+22=64", "136-64=72" ]
Current State: 72:[70, 66, 42, 22], Operations: [] Exploring Operation: 70+66=136, Resulting Numbers: [42, 22, 136] Generated Node #2: [42, 22, 136] from Operation: 70+66=136 Current State: 72:[42, 22, 136], Operations: ['70+66=136'] Exploring Operation: 42+22=64, Resulting Numbers: [136, 64] Generated Node #3: [136, 64] from Operation: 42+22=64 Current State: 72:[136, 64], Operations: ['70+66=136', '42+22=64'] Exploring Operation: 136-64=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 88, 86, 14, 76 ]
22
[ "86-14=72", "76-72=4", "88/4=22" ]
Current State: 22:[88, 86, 14, 76], Operations: [] Exploring Operation: 86-14=72, Resulting Numbers: [88, 76, 72] Generated Node #2: [88, 76, 72] from Operation: 86-14=72 Current State: 22:[88, 76, 72], Operations: ['86-14=72'] Exploring Operation: 76-72=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 76-72=4 Current State: 22:[88, 4], Operations: ['86-14=72', '76-72=4'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 55, 36, 33, 72 ]
86
[ "55-36=19", "33+72=105", "105-19=86" ]
Current State: 86:[55, 36, 33, 72], Operations: [] Exploring Operation: 55-36=19, Resulting Numbers: [33, 72, 19] Generated Node #2: [33, 72, 19] from Operation: 55-36=19 Current State: 86:[33, 72, 19], Operations: ['55-36=19'] Exploring Operation: 33+72=105, Resulting Numbers: [19, 105] Generated Node #3: [19, 105] from Operation: 33+72=105 Current State: 86:[19, 105], Operations: ['55-36=19', '33+72=105'] Exploring Operation: 105-19=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 38, 35, 24, 7 ]
65
[ "38-35=3", "24*3=72", "72-7=65" ]
Current State: 65:[38, 35, 24, 7], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [24, 7, 3] Generated Node #2: [24, 7, 3] from Operation: 38-35=3 Current State: 65:[24, 7, 3], Operations: ['38-35=3'] Exploring Operation: 24*3=72, Resulting Numbers: [7, 72] Generated Node #3: [7, 72] from Operation: 24*3=72 Current State: 65:[7, 72], Operations: ['38-35=3', '24*3=72'] Exploring Operation: 72-7=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 59, 71, 11, 11 ]
34
[ "71-59=12", "11+11=22", "12+22=34" ]
Current State: 34:[59, 71, 11, 11], Operations: [] Exploring Operation: 71-59=12, Resulting Numbers: [11, 11, 12] Generated Node #2: [11, 11, 12] from Operation: 71-59=12 Current State: 34:[11, 11, 12], Operations: ['71-59=12'] Exploring Operation: 11+11=22, Resulting Numbers: [12, 22] Generated Node #3: [12, 22] from Operation: 11+11=22 Current State: 34:[12, 22], Operations: ['71-59=12', '11+11=22'] Exploring Operation: 12+22=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 38, 13, 54, 10 ]
30
[ "38+13=51", "54-51=3", "10*3=30" ]
Current State: 30:[38, 13, 54, 10], Operations: [] Exploring Operation: 38+13=51, Resulting Numbers: [54, 10, 51] Generated Node #2: [54, 10, 51] from Operation: 38+13=51 Current State: 30:[54, 10, 51], Operations: ['38+13=51'] Exploring Operation: 54-51=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 54-51=3 Current State: 30:[10, 3], Operations: ['38+13=51', '54-51=3'] Exploring Operation: 10*3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 6, 21, 64, 55 ]
72
[ "64-21=43", "55-43=12", "6*12=72" ]
Current State: 72:[6, 21, 64, 55], Operations: [] Exploring Operation: 64-21=43, Resulting Numbers: [6, 55, 43] Generated Node #2: [6, 55, 43] from Operation: 64-21=43 Current State: 72:[6, 55, 43], Operations: ['64-21=43'] Exploring Operation: 55-43=12, Resulting Numbers: [6, 12] Generated Node #3: [6, 12] from Operation: 55-43=12 Current State: 72:[6, 12], Operations: ['64-21=43', '55-43=12'] Exploring Operation: 6*12=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 68, 43, 42, 1 ]
67
[ "68-43=25", "42*1=42", "25+42=67" ]
Current State: 67:[68, 43, 42, 1], Operations: [] Exploring Operation: 68-43=25, Resulting Numbers: [42, 1, 25] Generated Node #2: [42, 1, 25] from Operation: 68-43=25 Current State: 67:[42, 1, 25], Operations: ['68-43=25'] Exploring Operation: 42*1=42, Resulting Numbers: [25, 42] Generated Node #3: [25, 42] from Operation: 42*1=42 Current State: 67:[25, 42], Operations: ['68-43=25', '42*1=42'] Exploring Operation: 25+42=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 54, 46, 41, 7 ]
56
[ "54-46=8", "41+7=48", "8+48=56" ]
Current State: 56:[54, 46, 41, 7], Operations: [] Exploring Operation: 54-46=8, Resulting Numbers: [41, 7, 8] Generated Node #2: [41, 7, 8] from Operation: 54-46=8 Current State: 56:[41, 7, 8], Operations: ['54-46=8'] Exploring Operation: 41+7=48, Resulting Numbers: [8, 48] Generated Node #3: [8, 48] from Operation: 41+7=48 Current State: 56:[8, 48], Operations: ['54-46=8', '41+7=48'] Exploring Operation: 8+48=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 9, 28, 68, 94 ]
18
[ "28+68=96", "96-94=2", "9*2=18" ]
Current State: 18:[9, 28, 68, 94], Operations: [] Exploring Operation: 28+68=96, Resulting Numbers: [9, 94, 96] Generated Node #2: [9, 94, 96] from Operation: 28+68=96 Current State: 18:[9, 94, 96], Operations: ['28+68=96'] Exploring Operation: 96-94=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 96-94=2 Current State: 18:[9, 2], Operations: ['28+68=96', '96-94=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 1, 59, 69, 54 ]
75
[ "1+59=60", "69-54=15", "60+15=75" ]
Current State: 75:[1, 59, 69, 54], Operations: [] Exploring Operation: 1+59=60, Resulting Numbers: [69, 54, 60] Generated Node #2: [69, 54, 60] from Operation: 1+59=60 Current State: 75:[69, 54, 60], Operations: ['1+59=60'] Exploring Operation: 69-54=15, Resulting Numbers: [60, 15] Generated Node #3: [60, 15] from Operation: 69-54=15 Current State: 75:[60, 15], Operations: ['1+59=60', '69-54=15'] Exploring Operation: 60+15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 74, 33, 46, 8 ]
13
[ "74-33=41", "46+8=54", "54-41=13" ]
Current State: 13:[74, 33, 46, 8], Operations: [] Exploring Operation: 74-33=41, Resulting Numbers: [46, 8, 41] Generated Node #2: [46, 8, 41] from Operation: 74-33=41 Current State: 13:[46, 8, 41], Operations: ['74-33=41'] Exploring Operation: 46+8=54, Resulting Numbers: [41, 54] Generated Node #3: [41, 54] from Operation: 46+8=54 Current State: 13:[41, 54], Operations: ['74-33=41', '46+8=54'] Exploring Operation: 54-41=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 3, 5, 68, 78 ]
18
[ "3+5=8", "78-68=10", "8+10=18" ]
Current State: 18:[3, 5, 68, 78], Operations: [] Exploring Operation: 3+5=8, Resulting Numbers: [68, 78, 8] Generated Node #2: [68, 78, 8] from Operation: 3+5=8 Current State: 18:[68, 78, 8], Operations: ['3+5=8'] Exploring Operation: 78-68=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 78-68=10 Current State: 18:[8, 10], Operations: ['3+5=8', '78-68=10'] Exploring Operation: 8+10=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 72, 29, 3, 58 ]
66
[ "58/29=2", "3*2=6", "72-6=66" ]
Current State: 66:[72, 29, 3, 58], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [72, 3, 2] Generated Node #2: [72, 3, 2] from Operation: 58/29=2 Current State: 66:[72, 3, 2], Operations: ['58/29=2'] Exploring Operation: 3*2=6, Resulting Numbers: [72, 6] Generated Node #3: [72, 6] from Operation: 3*2=6 Current State: 66:[72, 6], Operations: ['58/29=2', '3*2=6'] Exploring Operation: 72-6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 89, 92, 44, 86 ]
51
[ "89+92=181", "44+86=130", "181-130=51" ]
Current State: 51:[89, 92, 44, 86], Operations: [] Exploring Operation: 89+92=181, Resulting Numbers: [44, 86, 181] Generated Node #2: [44, 86, 181] from Operation: 89+92=181 Current State: 51:[44, 86, 181], Operations: ['89+92=181'] Exploring Operation: 44+86=130, Resulting Numbers: [181, 130] Generated Node #3: [181, 130] from Operation: 44+86=130 Current State: 51:[181, 130], Operations: ['89+92=181', '44+86=130'] Exploring Operation: 181-130=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 82, 59, 20, 41 ]
99
[ "82*20=1640", "1640/41=40", "59+40=99" ]
Current State: 99:[82, 59, 20, 41], Operations: [] Exploring Operation: 82*20=1640, Resulting Numbers: [59, 41, 1640] Generated Node #2: [59, 41, 1640] from Operation: 82*20=1640 Current State: 99:[59, 41, 1640], Operations: ['82*20=1640'] Exploring Operation: 1640/41=40, Resulting Numbers: [59, 40] Generated Node #3: [59, 40] from Operation: 1640/41=40 Current State: 99:[59, 40], Operations: ['82*20=1640', '1640/41=40'] Exploring Operation: 59+40=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 60, 84, 61, 19 ]
66
[ "84-60=24", "61-19=42", "24+42=66" ]
Current State: 66:[60, 84, 61, 19], Operations: [] Exploring Operation: 84-60=24, Resulting Numbers: [61, 19, 24] Generated Node #2: [61, 19, 24] from Operation: 84-60=24 Current State: 66:[61, 19, 24], Operations: ['84-60=24'] Exploring Operation: 61-19=42, Resulting Numbers: [24, 42] Generated Node #3: [24, 42] from Operation: 61-19=42 Current State: 66:[24, 42], Operations: ['84-60=24', '61-19=42'] Exploring Operation: 24+42=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 17, 5, 2, 51 ]
61
[ "17-5=12", "51-2=49", "12+49=61" ]
Current State: 61:[17, 5, 2, 51], Operations: [] Exploring Operation: 17-5=12, Resulting Numbers: [2, 51, 12] Generated Node #2: [2, 51, 12] from Operation: 17-5=12 Current State: 61:[2, 51, 12], Operations: ['17-5=12'] Exploring Operation: 51-2=49, Resulting Numbers: [12, 49] Generated Node #3: [12, 49] from Operation: 51-2=49 Current State: 61:[12, 49], Operations: ['17-5=12', '51-2=49'] Exploring Operation: 12+49=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 32, 85, 85, 40 ]
32
[ "85-85=0", "40*0=0", "32+0=32" ]
Current State: 32:[32, 85, 85, 40], Operations: [] Exploring Operation: 85-85=0, Resulting Numbers: [32, 40, 0] Generated Node #2: [32, 40, 0] from Operation: 85-85=0 Current State: 32:[32, 40, 0], Operations: ['85-85=0'] Exploring Operation: 40*0=0, Resulting Numbers: [32, 0] Generated Node #3: [32, 0] from Operation: 40*0=0 Current State: 32:[32, 0], Operations: ['85-85=0', '40*0=0'] Exploring Operation: 32+0=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 16, 20, 42, 8 ]
44
[ "20-16=4", "8/4=2", "42+2=44" ]
Current State: 44:[16, 20, 42, 8], Operations: [] Exploring Operation: 20-16=4, Resulting Numbers: [42, 8, 4] Generated Node #2: [42, 8, 4] from Operation: 20-16=4 Current State: 44:[42, 8, 4], Operations: ['20-16=4'] Exploring Operation: 8/4=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 8/4=2 Current State: 44:[42, 2], Operations: ['20-16=4', '8/4=2'] Exploring Operation: 42+2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 47, 15, 15, 4 ]
12
[ "15/15=1", "47+1=48", "48/4=12" ]
Current State: 12:[47, 15, 15, 4], Operations: [] Exploring Operation: 15/15=1, Resulting Numbers: [47, 4, 1] Generated Node #2: [47, 4, 1] from Operation: 15/15=1 Current State: 12:[47, 4, 1], Operations: ['15/15=1'] Exploring Operation: 47+1=48, Resulting Numbers: [4, 48] Generated Node #3: [4, 48] from Operation: 47+1=48 Current State: 12:[4, 48], Operations: ['15/15=1', '47+1=48'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4