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
[ 25, 32, 11, 18 ]
98
[ "25*18=450", "32*11=352", "450-352=98" ]
Current State: 98:[25, 32, 11, 18], Operations: [] Exploring Operation: 25*18=450, Resulting Numbers: [32, 11, 450] Generated Node #2: [32, 11, 450] from Operation: 25*18=450 Current State: 98:[32, 11, 450], Operations: ['25*18=450'] Exploring Operation: 32*11=352, Resulting Numbers: [450, 352] Generated Node #3: [450, 352] from Operation: 32*11=352 Current State: 98:[450, 352], Operations: ['25*18=450', '32*11=352'] Exploring Operation: 450-352=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 65, 68, 8, 29 ]
40
[ "68-65=3", "8+29=37", "3+37=40" ]
Current State: 40:[65, 68, 8, 29], Operations: [] Exploring Operation: 68-65=3, Resulting Numbers: [8, 29, 3] Generated Node #2: [8, 29, 3] from Operation: 68-65=3 Current State: 40:[8, 29, 3], Operations: ['68-65=3'] Exploring Operation: 8+29=37, Resulting Numbers: [3, 37] Generated Node #3: [3, 37] from Operation: 8+29=37 Current State: 40:[3, 37], Operations: ['68-65=3', '8+29=37'] Exploring Operation: 3+37=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 74, 19, 52, 9 ]
98
[ "74-19=55", "52-9=43", "55+43=98" ]
Current State: 98:[74, 19, 52, 9], Operations: [] Exploring Operation: 74-19=55, Resulting Numbers: [52, 9, 55] Generated Node #2: [52, 9, 55] from Operation: 74-19=55 Current State: 98:[52, 9, 55], Operations: ['74-19=55'] Exploring Operation: 52-9=43, Resulting Numbers: [55, 43] Generated Node #3: [55, 43] from Operation: 52-9=43 Current State: 98:[55, 43], Operations: ['74-19=55', '52-9=43'] Exploring Operation: 55+43=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 99, 96, 98, 90 ]
54
[ "98-96=2", "90/2=45", "99-45=54" ]
Current State: 54:[99, 96, 98, 90], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [99, 90, 2] Generated Node #2: [99, 90, 2] from Operation: 98-96=2 Current State: 54:[99, 90, 2], Operations: ['98-96=2'] Exploring Operation: 90/2=45, Resulting Numbers: [99, 45] Generated Node #3: [99, 45] from Operation: 90/2=45 Current State: 54:[99, 45], Operations: ['98-96=2', '90/2=45'] Exploring Operation: 99-45=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 9, 2, 2, 42 ]
66
[ "9*2=18", "2*42=84", "84-18=66" ]
Current State: 66:[9, 2, 2, 42], Operations: [] Exploring Operation: 9*2=18, Resulting Numbers: [42, 18] Generated Node #2: [42, 18] from Operation: 9*2=18 Current State: 66:[42, 18], Operations: ['9*2=18'] Exploring Operation: 2*42=84, Resulting Numbers: [18, 84] Generated Node #3: [18, 84] from Operation: 2*42=84 Current State: 66:[18, 84], Operations: ['9*2=18', '2*42=84'] Exploring Operation: 84-18=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 50, 71, 29, 76 ]
95
[ "76-71=5", "29*5=145", "145-50=95" ]
Current State: 95:[50, 71, 29, 76], Operations: [] Exploring Operation: 76-71=5, Resulting Numbers: [50, 29, 5] Generated Node #2: [50, 29, 5] from Operation: 76-71=5 Current State: 95:[50, 29, 5], Operations: ['76-71=5'] Exploring Operation: 29*5=145, Resulting Numbers: [50, 145] Generated Node #3: [50, 145] from Operation: 29*5=145 Current State: 95:[50, 145], Operations: ['76-71=5', '29*5=145'] Exploring Operation: 145-50=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 87, 77, 71, 40 ]
41
[ "87-77=10", "71-40=31", "10+31=41" ]
Current State: 41:[87, 77, 71, 40], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [71, 40, 10] Generated Node #2: [71, 40, 10] from Operation: 87-77=10 Current State: 41:[71, 40, 10], Operations: ['87-77=10'] Exploring Operation: 71-40=31, Resulting Numbers: [10, 31] Generated Node #3: [10, 31] from Operation: 71-40=31 Current State: 41:[10, 31], Operations: ['87-77=10', '71-40=31'] Exploring Operation: 10+31=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 8, 35, 85, 13 ]
55
[ "8+35=43", "85+13=98", "98-43=55" ]
Current State: 55:[8, 35, 85, 13], Operations: [] Exploring Operation: 8+35=43, Resulting Numbers: [85, 13, 43] Generated Node #2: [85, 13, 43] from Operation: 8+35=43 Current State: 55:[85, 13, 43], Operations: ['8+35=43'] Exploring Operation: 85+13=98, Resulting Numbers: [43, 98] Generated Node #3: [43, 98] from Operation: 85+13=98 Current State: 55:[43, 98], Operations: ['8+35=43', '85+13=98'] Exploring Operation: 98-43=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 54, 27, 29, 11 ]
20
[ "54/27=2", "29+11=40", "40/2=20" ]
Current State: 20:[54, 27, 29, 11], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [29, 11, 2] Generated Node #2: [29, 11, 2] from Operation: 54/27=2 Current State: 20:[29, 11, 2], Operations: ['54/27=2'] Exploring Operation: 29+11=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 29+11=40 Current State: 20:[2, 40], Operations: ['54/27=2', '29+11=40'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 61, 63, 81, 3 ]
67
[ "81-63=18", "18/3=6", "61+6=67" ]
Current State: 67:[61, 63, 81, 3], Operations: [] Exploring Operation: 81-63=18, Resulting Numbers: [61, 3, 18] Generated Node #2: [61, 3, 18] from Operation: 81-63=18 Current State: 67:[61, 3, 18], Operations: ['81-63=18'] Exploring Operation: 18/3=6, Resulting Numbers: [61, 6] Generated Node #3: [61, 6] from Operation: 18/3=6 Current State: 67:[61, 6], Operations: ['81-63=18', '18/3=6'] Exploring Operation: 61+6=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 51, 77, 84, 30 ]
74
[ "51+77=128", "84-30=54", "128-54=74" ]
Current State: 74:[51, 77, 84, 30], Operations: [] Exploring Operation: 51+77=128, Resulting Numbers: [84, 30, 128] Generated Node #2: [84, 30, 128] from Operation: 51+77=128 Current State: 74:[84, 30, 128], Operations: ['51+77=128'] Exploring Operation: 84-30=54, Resulting Numbers: [128, 54] Generated Node #3: [128, 54] from Operation: 84-30=54 Current State: 74:[128, 54], Operations: ['51+77=128', '84-30=54'] Exploring Operation: 128-54=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 4, 17, 53, 42 ]
82
[ "17-4=13", "53+42=95", "95-13=82" ]
Current State: 82:[4, 17, 53, 42], Operations: [] Exploring Operation: 17-4=13, Resulting Numbers: [53, 42, 13] Generated Node #2: [53, 42, 13] from Operation: 17-4=13 Current State: 82:[53, 42, 13], Operations: ['17-4=13'] Exploring Operation: 53+42=95, Resulting Numbers: [13, 95] Generated Node #3: [13, 95] from Operation: 53+42=95 Current State: 82:[13, 95], Operations: ['17-4=13', '53+42=95'] Exploring Operation: 95-13=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 94, 68, 24, 31 ]
19
[ "94-68=26", "31-24=7", "26-7=19" ]
Current State: 19:[94, 68, 24, 31], Operations: [] Exploring Operation: 94-68=26, Resulting Numbers: [24, 31, 26] Generated Node #2: [24, 31, 26] from Operation: 94-68=26 Current State: 19:[24, 31, 26], Operations: ['94-68=26'] Exploring Operation: 31-24=7, Resulting Numbers: [26, 7] Generated Node #3: [26, 7] from Operation: 31-24=7 Current State: 19:[26, 7], Operations: ['94-68=26', '31-24=7'] Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 81, 7, 28, 54 ]
48
[ "81-7=74", "54-28=26", "74-26=48" ]
Current State: 48:[81, 7, 28, 54], Operations: [] Exploring Operation: 81-7=74, Resulting Numbers: [28, 54, 74] Generated Node #2: [28, 54, 74] from Operation: 81-7=74 Current State: 48:[28, 54, 74], Operations: ['81-7=74'] Exploring Operation: 54-28=26, Resulting Numbers: [74, 26] Generated Node #3: [74, 26] from Operation: 54-28=26 Current State: 48:[74, 26], Operations: ['81-7=74', '54-28=26'] Exploring Operation: 74-26=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 77, 80, 79, 87 ]
87
[ "87-77=10", "80/10=8", "79+8=87" ]
Current State: 87:[77, 80, 79, 87], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [80, 79, 10] Generated Node #2: [80, 79, 10] from Operation: 87-77=10 Current State: 87:[80, 79, 10], Operations: ['87-77=10'] Exploring Operation: 80/10=8, Resulting Numbers: [79, 8] Generated Node #3: [79, 8] from Operation: 80/10=8 Current State: 87:[79, 8], Operations: ['87-77=10', '80/10=8'] Exploring Operation: 79+8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 80, 13, 10, 80 ]
75
[ "80-13=67", "80/10=8", "67+8=75" ]
Current State: 75:[80, 13, 10, 80], Operations: [] Exploring Operation: 80-13=67, Resulting Numbers: [10, 67] Generated Node #2: [10, 67] from Operation: 80-13=67 Current State: 75:[10, 67], Operations: ['80-13=67'] Exploring Operation: 80/10=8, Resulting Numbers: [67, 8] Generated Node #3: [67, 8] from Operation: 80/10=8 Current State: 75:[67, 8], Operations: ['80-13=67', '80/10=8'] Exploring Operation: 67+8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 14, 9, 43, 41 ]
16
[ "43-41=2", "14/2=7", "9+7=16" ]
Current State: 16:[14, 9, 43, 41], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [14, 9, 2] Generated Node #2: [14, 9, 2] from Operation: 43-41=2 Current State: 16:[14, 9, 2], Operations: ['43-41=2'] Exploring Operation: 14/2=7, Resulting Numbers: [9, 7] Generated Node #3: [9, 7] from Operation: 14/2=7 Current State: 16:[9, 7], Operations: ['43-41=2', '14/2=7'] Exploring Operation: 9+7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 4, 9, 52, 93 ]
77
[ "4*9=36", "93-52=41", "36+41=77" ]
Current State: 77:[4, 9, 52, 93], Operations: [] Exploring Operation: 4*9=36, Resulting Numbers: [52, 93, 36] Generated Node #2: [52, 93, 36] from Operation: 4*9=36 Current State: 77:[52, 93, 36], Operations: ['4*9=36'] Exploring Operation: 93-52=41, Resulting Numbers: [36, 41] Generated Node #3: [36, 41] from Operation: 93-52=41 Current State: 77:[36, 41], Operations: ['4*9=36', '93-52=41'] Exploring Operation: 36+41=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 82, 28, 28, 43 ]
82
[ "28-28=0", "43*0=0", "82+0=82" ]
Current State: 82:[82, 28, 28, 43], Operations: [] Exploring Operation: 28-28=0, Resulting Numbers: [82, 43, 0] Generated Node #2: [82, 43, 0] from Operation: 28-28=0 Current State: 82:[82, 43, 0], Operations: ['28-28=0'] Exploring Operation: 43*0=0, Resulting Numbers: [82, 0] Generated Node #3: [82, 0] from Operation: 43*0=0 Current State: 82:[82, 0], Operations: ['28-28=0', '43*0=0'] Exploring Operation: 82+0=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 8, 50, 33, 42 ]
50
[ "8+33=41", "42-41=1", "50*1=50" ]
Current State: 50:[8, 50, 33, 42], Operations: [] Exploring Operation: 8+33=41, Resulting Numbers: [50, 42, 41] Generated Node #2: [50, 42, 41] from Operation: 8+33=41 Current State: 50:[50, 42, 41], Operations: ['8+33=41'] Exploring Operation: 42-41=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 42-41=1 Current State: 50:[50, 1], Operations: ['8+33=41', '42-41=1'] Exploring Operation: 50*1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 39, 99, 50, 30 ]
80
[ "99-39=60", "50-30=20", "60+20=80" ]
Current State: 80:[39, 99, 50, 30], Operations: [] Exploring Operation: 99-39=60, Resulting Numbers: [50, 30, 60] Generated Node #2: [50, 30, 60] from Operation: 99-39=60 Current State: 80:[50, 30, 60], Operations: ['99-39=60'] Exploring Operation: 50-30=20, Resulting Numbers: [60, 20] Generated Node #3: [60, 20] from Operation: 50-30=20 Current State: 80:[60, 20], Operations: ['99-39=60', '50-30=20'] Exploring Operation: 60+20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 19, 49, 5, 5 ]
71
[ "19+5=24", "5*24=120", "120-49=71" ]
Current State: 71:[19, 49, 5, 5], Operations: [] Exploring Operation: 19+5=24, Resulting Numbers: [49, 24] Generated Node #2: [49, 24] from Operation: 19+5=24 Current State: 71:[49, 24], Operations: ['19+5=24'] Exploring Operation: 5*24=120, Resulting Numbers: [49, 120] Generated Node #3: [49, 120] from Operation: 5*24=120 Current State: 71:[49, 120], Operations: ['19+5=24', '5*24=120'] Exploring Operation: 120-49=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 29, 24, 6, 86 ]
61
[ "86-29=57", "24/6=4", "57+4=61" ]
Current State: 61:[29, 24, 6, 86], Operations: [] Exploring Operation: 86-29=57, Resulting Numbers: [24, 6, 57] Generated Node #2: [24, 6, 57] from Operation: 86-29=57 Current State: 61:[24, 6, 57], Operations: ['86-29=57'] Exploring Operation: 24/6=4, Resulting Numbers: [57, 4] Generated Node #3: [57, 4] from Operation: 24/6=4 Current State: 61:[57, 4], Operations: ['86-29=57', '24/6=4'] Exploring Operation: 57+4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 1, 76, 66, 6 ]
61
[ "76-66=10", "6*10=60", "1+60=61" ]
Current State: 61:[1, 76, 66, 6], Operations: [] Exploring Operation: 76-66=10, Resulting Numbers: [1, 6, 10] Generated Node #2: [1, 6, 10] from Operation: 76-66=10 Current State: 61:[1, 6, 10], Operations: ['76-66=10'] Exploring Operation: 6*10=60, Resulting Numbers: [1, 60] Generated Node #3: [1, 60] from Operation: 6*10=60 Current State: 61:[1, 60], Operations: ['76-66=10', '6*10=60'] Exploring Operation: 1+60=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 60, 2, 57, 56 ]
84
[ "60-57=3", "56/2=28", "3*28=84" ]
Current State: 84:[60, 2, 57, 56], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [2, 56, 3] Generated Node #2: [2, 56, 3] from Operation: 60-57=3 Current State: 84:[2, 56, 3], Operations: ['60-57=3'] Exploring Operation: 56/2=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 56/2=28 Current State: 84:[3, 28], Operations: ['60-57=3', '56/2=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 62, 49, 70, 44 ]
48
[ "49-44=5", "70/5=14", "62-14=48" ]
Current State: 48:[62, 49, 70, 44], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [62, 70, 5] Generated Node #2: [62, 70, 5] from Operation: 49-44=5 Current State: 48:[62, 70, 5], Operations: ['49-44=5'] Exploring Operation: 70/5=14, Resulting Numbers: [62, 14] Generated Node #3: [62, 14] from Operation: 70/5=14 Current State: 48:[62, 14], Operations: ['49-44=5', '70/5=14'] Exploring Operation: 62-14=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 43, 93, 47, 46 ]
78
[ "46-43=3", "93/3=31", "47+31=78" ]
Current State: 78:[43, 93, 47, 46], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [93, 47, 3] Generated Node #2: [93, 47, 3] from Operation: 46-43=3 Current State: 78:[93, 47, 3], Operations: ['46-43=3'] Exploring Operation: 93/3=31, Resulting Numbers: [47, 31] Generated Node #3: [47, 31] from Operation: 93/3=31 Current State: 78:[47, 31], Operations: ['46-43=3', '93/3=31'] Exploring Operation: 47+31=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 91, 93, 27, 66 ]
12
[ "93-91=2", "27*2=54", "66-54=12" ]
Current State: 12:[91, 93, 27, 66], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [27, 66, 2] Generated Node #2: [27, 66, 2] from Operation: 93-91=2 Current State: 12:[27, 66, 2], Operations: ['93-91=2'] Exploring Operation: 27*2=54, Resulting Numbers: [66, 54] Generated Node #3: [66, 54] from Operation: 27*2=54 Current State: 12:[66, 54], Operations: ['93-91=2', '27*2=54'] Exploring Operation: 66-54=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 6, 68, 42, 82 ]
74
[ "68-42=26", "6*26=156", "156-82=74" ]
Current State: 74:[6, 68, 42, 82], Operations: [] Exploring Operation: 68-42=26, Resulting Numbers: [6, 82, 26] Generated Node #2: [6, 82, 26] from Operation: 68-42=26 Current State: 74:[6, 82, 26], Operations: ['68-42=26'] Exploring Operation: 6*26=156, Resulting Numbers: [82, 156] Generated Node #3: [82, 156] from Operation: 6*26=156 Current State: 74:[82, 156], Operations: ['68-42=26', '6*26=156'] Exploring Operation: 156-82=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 7, 23, 37, 57 ]
59
[ "37-23=14", "14/7=2", "57+2=59" ]
Current State: 59:[7, 23, 37, 57], Operations: [] Exploring Operation: 37-23=14, Resulting Numbers: [7, 57, 14] Generated Node #2: [7, 57, 14] from Operation: 37-23=14 Current State: 59:[7, 57, 14], Operations: ['37-23=14'] Exploring Operation: 14/7=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 14/7=2 Current State: 59:[57, 2], Operations: ['37-23=14', '14/7=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 3, 35, 29, 40 ]
27
[ "3+35=38", "40-29=11", "38-11=27" ]
Current State: 27:[3, 35, 29, 40], Operations: [] Exploring Operation: 3+35=38, Resulting Numbers: [29, 40, 38] Generated Node #2: [29, 40, 38] from Operation: 3+35=38 Current State: 27:[29, 40, 38], Operations: ['3+35=38'] Exploring Operation: 40-29=11, Resulting Numbers: [38, 11] Generated Node #3: [38, 11] from Operation: 40-29=11 Current State: 27:[38, 11], Operations: ['3+35=38', '40-29=11'] Exploring Operation: 38-11=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 69, 10, 23, 48 ]
55
[ "69/23=3", "10+48=58", "58-3=55" ]
Current State: 55:[69, 10, 23, 48], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [10, 48, 3] Generated Node #2: [10, 48, 3] from Operation: 69/23=3 Current State: 55:[10, 48, 3], Operations: ['69/23=3'] Exploring Operation: 10+48=58, Resulting Numbers: [3, 58] Generated Node #3: [3, 58] from Operation: 10+48=58 Current State: 55:[3, 58], Operations: ['69/23=3', '10+48=58'] Exploring Operation: 58-3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 19, 14, 83, 25 ]
25
[ "19+14=33", "83-25=58", "58-33=25" ]
Current State: 25:[19, 14, 83, 25], Operations: [] Exploring Operation: 19+14=33, Resulting Numbers: [83, 25, 33] Generated Node #2: [83, 25, 33] from Operation: 19+14=33 Current State: 25:[83, 25, 33], Operations: ['19+14=33'] Exploring Operation: 83-25=58, Resulting Numbers: [33, 58] Generated Node #3: [33, 58] from Operation: 83-25=58 Current State: 25:[33, 58], Operations: ['19+14=33', '83-25=58'] Exploring Operation: 58-33=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 8, 30, 2, 83 ]
94
[ "30-8=22", "22/2=11", "83+11=94" ]
Current State: 94:[8, 30, 2, 83], Operations: [] Exploring Operation: 30-8=22, Resulting Numbers: [2, 83, 22] Generated Node #2: [2, 83, 22] from Operation: 30-8=22 Current State: 94:[2, 83, 22], Operations: ['30-8=22'] Exploring Operation: 22/2=11, Resulting Numbers: [83, 11] Generated Node #3: [83, 11] from Operation: 22/2=11 Current State: 94:[83, 11], Operations: ['30-8=22', '22/2=11'] Exploring Operation: 83+11=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 23, 46, 41, 83 ]
84
[ "46/23=2", "83-41=42", "2*42=84" ]
Current State: 84:[23, 46, 41, 83], Operations: [] Exploring Operation: 46/23=2, Resulting Numbers: [41, 83, 2] Generated Node #2: [41, 83, 2] from Operation: 46/23=2 Current State: 84:[41, 83, 2], Operations: ['46/23=2'] Exploring Operation: 83-41=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 83-41=42 Current State: 84:[2, 42], Operations: ['46/23=2', '83-41=42'] Exploring Operation: 2*42=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 39, 22, 50, 22 ]
90
[ "39+50=89", "22/22=1", "89+1=90" ]
Current State: 90:[39, 22, 50, 22], Operations: [] Exploring Operation: 39+50=89, Resulting Numbers: [22, 22, 89] Generated Node #2: [22, 22, 89] from Operation: 39+50=89 Current State: 90:[22, 22, 89], Operations: ['39+50=89'] Exploring Operation: 22/22=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 22/22=1 Current State: 90:[89, 1], Operations: ['39+50=89', '22/22=1'] Exploring Operation: 89+1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 43, 9, 8, 99 ]
39
[ "43+9=52", "99-8=91", "91-52=39" ]
Current State: 39:[43, 9, 8, 99], Operations: [] Exploring Operation: 43+9=52, Resulting Numbers: [8, 99, 52] Generated Node #2: [8, 99, 52] from Operation: 43+9=52 Current State: 39:[8, 99, 52], Operations: ['43+9=52'] Exploring Operation: 99-8=91, Resulting Numbers: [52, 91] Generated Node #3: [52, 91] from Operation: 99-8=91 Current State: 39:[52, 91], Operations: ['43+9=52', '99-8=91'] Exploring Operation: 91-52=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 32, 80, 76, 8 ]
82
[ "80-32=48", "48/8=6", "76+6=82" ]
Current State: 82:[32, 80, 76, 8], Operations: [] Exploring Operation: 80-32=48, Resulting Numbers: [76, 8, 48] Generated Node #2: [76, 8, 48] from Operation: 80-32=48 Current State: 82:[76, 8, 48], Operations: ['80-32=48'] Exploring Operation: 48/8=6, Resulting Numbers: [76, 6] Generated Node #3: [76, 6] from Operation: 48/8=6 Current State: 82:[76, 6], Operations: ['80-32=48', '48/8=6'] Exploring Operation: 76+6=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 57, 9, 53, 4 ]
40
[ "57-53=4", "9*4=36", "4+36=40" ]
Current State: 40:[57, 9, 53, 4], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [9, 4, 4] Generated Node #2: [9, 4, 4] from Operation: 57-53=4 Current State: 40:[9, 4, 4], Operations: ['57-53=4'] Exploring Operation: 9*4=36, Resulting Numbers: [36] 36,40 equal: Goal Reached Exploring Operation: 4+36=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 85, 83, 63, 7 ]
87
[ "85+83=168", "168/7=24", "63+24=87" ]
Current State: 87:[85, 83, 63, 7], Operations: [] Exploring Operation: 85+83=168, Resulting Numbers: [63, 7, 168] Generated Node #2: [63, 7, 168] from Operation: 85+83=168 Current State: 87:[63, 7, 168], Operations: ['85+83=168'] Exploring Operation: 168/7=24, Resulting Numbers: [63, 24] Generated Node #3: [63, 24] from Operation: 168/7=24 Current State: 87:[63, 24], Operations: ['85+83=168', '168/7=24'] Exploring Operation: 63+24=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 10, 20, 40, 95 ]
65
[ "10*20=200", "40+95=135", "200-135=65" ]
Current State: 65:[10, 20, 40, 95], Operations: [] Exploring Operation: 10*20=200, Resulting Numbers: [40, 95, 200] Generated Node #2: [40, 95, 200] from Operation: 10*20=200 Current State: 65:[40, 95, 200], Operations: ['10*20=200'] Exploring Operation: 40+95=135, Resulting Numbers: [200, 135] Generated Node #3: [200, 135] from Operation: 40+95=135 Current State: 65:[200, 135], Operations: ['10*20=200', '40+95=135'] Exploring Operation: 200-135=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 3, 56, 52, 81 ]
24
[ "56-3=53", "81-52=29", "53-29=24" ]
Current State: 24:[3, 56, 52, 81], Operations: [] Exploring Operation: 56-3=53, Resulting Numbers: [52, 81, 53] Generated Node #2: [52, 81, 53] from Operation: 56-3=53 Current State: 24:[52, 81, 53], Operations: ['56-3=53'] Exploring Operation: 81-52=29, Resulting Numbers: [53, 29] Generated Node #3: [53, 29] from Operation: 81-52=29 Current State: 24:[53, 29], Operations: ['56-3=53', '81-52=29'] Exploring Operation: 53-29=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 96, 51, 70, 98 ]
86
[ "98-96=2", "70/2=35", "51+35=86" ]
Current State: 86:[96, 51, 70, 98], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [51, 70, 2] Generated Node #2: [51, 70, 2] from Operation: 98-96=2 Current State: 86:[51, 70, 2], Operations: ['98-96=2'] Exploring Operation: 70/2=35, Resulting Numbers: [51, 35] Generated Node #3: [51, 35] from Operation: 70/2=35 Current State: 86:[51, 35], Operations: ['98-96=2', '70/2=35'] Exploring Operation: 51+35=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 3, 84, 8, 11 ]
29
[ "3+84=87", "11-8=3", "87/3=29" ]
Current State: 29:[3, 84, 8, 11], Operations: [] Exploring Operation: 3+84=87, Resulting Numbers: [8, 11, 87] Generated Node #2: [8, 11, 87] from Operation: 3+84=87 Current State: 29:[8, 11, 87], Operations: ['3+84=87'] Exploring Operation: 11-8=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 11-8=3 Current State: 29:[87, 3], Operations: ['3+84=87', '11-8=3'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 84, 9, 5, 6 ]
79
[ "84*5=420", "420/6=70", "9+70=79" ]
Current State: 79:[84, 9, 5, 6], Operations: [] Exploring Operation: 84*5=420, Resulting Numbers: [9, 6, 420] Generated Node #2: [9, 6, 420] from Operation: 84*5=420 Current State: 79:[9, 6, 420], Operations: ['84*5=420'] Exploring Operation: 420/6=70, Resulting Numbers: [9, 70] Generated Node #3: [9, 70] from Operation: 420/6=70 Current State: 79:[9, 70], Operations: ['84*5=420', '420/6=70'] Exploring Operation: 9+70=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 39, 36, 63, 91 ]
47
[ "39+36=75", "91-63=28", "75-28=47" ]
Current State: 47:[39, 36, 63, 91], Operations: [] Exploring Operation: 39+36=75, Resulting Numbers: [63, 91, 75] Generated Node #2: [63, 91, 75] from Operation: 39+36=75 Current State: 47:[63, 91, 75], Operations: ['39+36=75'] Exploring Operation: 91-63=28, Resulting Numbers: [75, 28] Generated Node #3: [75, 28] from Operation: 91-63=28 Current State: 47:[75, 28], Operations: ['39+36=75', '91-63=28'] Exploring Operation: 75-28=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 87, 6, 27, 44 ]
76
[ "87+6=93", "44-27=17", "93-17=76" ]
Current State: 76:[87, 6, 27, 44], Operations: [] Exploring Operation: 87+6=93, Resulting Numbers: [27, 44, 93] Generated Node #2: [27, 44, 93] from Operation: 87+6=93 Current State: 76:[27, 44, 93], Operations: ['87+6=93'] Exploring Operation: 44-27=17, Resulting Numbers: [93, 17] Generated Node #3: [93, 17] from Operation: 44-27=17 Current State: 76:[93, 17], Operations: ['87+6=93', '44-27=17'] Exploring Operation: 93-17=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 60, 10, 58, 68 ]
59
[ "10+58=68", "68/68=1", "60-1=59" ]
Current State: 59:[60, 10, 58, 68], Operations: [] Exploring Operation: 10+58=68, Resulting Numbers: [60, 68, 68] Generated Node #2: [60, 68, 68] from Operation: 10+58=68 Current State: 59:[60, 68, 68], Operations: ['10+58=68'] Exploring Operation: 68/68=1, Resulting Numbers: [60, 1] Generated Node #3: [60, 1] from Operation: 68/68=1 Current State: 59:[60, 1], Operations: ['10+58=68', '68/68=1'] Exploring Operation: 60-1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 54, 13, 39, 51 ]
71
[ "39/13=3", "51/3=17", "54+17=71" ]
Current State: 71:[54, 13, 39, 51], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [54, 51, 3] Generated Node #2: [54, 51, 3] from Operation: 39/13=3 Current State: 71:[54, 51, 3], Operations: ['39/13=3'] Exploring Operation: 51/3=17, Resulting Numbers: [54, 17] Generated Node #3: [54, 17] from Operation: 51/3=17 Current State: 71:[54, 17], Operations: ['39/13=3', '51/3=17'] Exploring Operation: 54+17=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 1, 56, 54, 55 ]
27
[ "1+56=57", "57-55=2", "54/2=27" ]
Current State: 27:[1, 56, 54, 55], Operations: [] Exploring Operation: 1+56=57, Resulting Numbers: [54, 55, 57] Generated Node #2: [54, 55, 57] from Operation: 1+56=57 Current State: 27:[54, 55, 57], Operations: ['1+56=57'] Exploring Operation: 57-55=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 57-55=2 Current State: 27:[54, 2], Operations: ['1+56=57', '57-55=2'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 43, 5, 94 ]
27
[ "43-2=41", "94+41=135", "135/5=27" ]
Current State: 27:[2, 43, 5, 94], Operations: [] Exploring Operation: 43-2=41, Resulting Numbers: [5, 94, 41] Generated Node #2: [5, 94, 41] from Operation: 43-2=41 Current State: 27:[5, 94, 41], Operations: ['43-2=41'] Exploring Operation: 94+41=135, Resulting Numbers: [5, 135] Generated Node #3: [5, 135] from Operation: 94+41=135 Current State: 27:[5, 135], Operations: ['43-2=41', '94+41=135'] Exploring Operation: 135/5=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 18, 76, 48, 13 ]
93
[ "76-18=58", "48-13=35", "58+35=93" ]
Current State: 93:[18, 76, 48, 13], Operations: [] Exploring Operation: 76-18=58, Resulting Numbers: [48, 13, 58] Generated Node #2: [48, 13, 58] from Operation: 76-18=58 Current State: 93:[48, 13, 58], Operations: ['76-18=58'] Exploring Operation: 48-13=35, Resulting Numbers: [58, 35] Generated Node #3: [58, 35] from Operation: 48-13=35 Current State: 93:[58, 35], Operations: ['76-18=58', '48-13=35'] Exploring Operation: 58+35=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 5, 76, 70, 76 ]
66
[ "70-5=65", "76/76=1", "65+1=66" ]
Current State: 66:[5, 76, 70, 76], Operations: [] Exploring Operation: 70-5=65, Resulting Numbers: [76, 76, 65] Generated Node #2: [76, 76, 65] from Operation: 70-5=65 Current State: 66:[76, 76, 65], Operations: ['70-5=65'] Exploring Operation: 76/76=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 76/76=1 Current State: 66:[65, 1], Operations: ['70-5=65', '76/76=1'] Exploring Operation: 65+1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 53, 35, 71, 33 ]
89
[ "35-33=2", "71*2=142", "142-53=89" ]
Current State: 89:[53, 35, 71, 33], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [53, 71, 2] Generated Node #2: [53, 71, 2] from Operation: 35-33=2 Current State: 89:[53, 71, 2], Operations: ['35-33=2'] Exploring Operation: 71*2=142, Resulting Numbers: [53, 142] Generated Node #3: [53, 142] from Operation: 71*2=142 Current State: 89:[53, 142], Operations: ['35-33=2', '71*2=142'] Exploring Operation: 142-53=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 9, 2, 24, 83 ]
77
[ "9*2=18", "83-24=59", "18+59=77" ]
Current State: 77:[9, 2, 24, 83], Operations: [] Exploring Operation: 9*2=18, Resulting Numbers: [24, 83, 18] Generated Node #2: [24, 83, 18] from Operation: 9*2=18 Current State: 77:[24, 83, 18], Operations: ['9*2=18'] Exploring Operation: 83-24=59, Resulting Numbers: [18, 59] Generated Node #3: [18, 59] from Operation: 83-24=59 Current State: 77:[18, 59], Operations: ['9*2=18', '83-24=59'] Exploring Operation: 18+59=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 41, 5, 79, 4 ]
35
[ "41+79=120", "120/4=30", "5+30=35" ]
Current State: 35:[41, 5, 79, 4], Operations: [] Exploring Operation: 41+79=120, Resulting Numbers: [5, 4, 120] Generated Node #2: [5, 4, 120] from Operation: 41+79=120 Current State: 35:[5, 4, 120], Operations: ['41+79=120'] Exploring Operation: 120/4=30, Resulting Numbers: [5, 30] Generated Node #3: [5, 30] from Operation: 120/4=30 Current State: 35:[5, 30], Operations: ['41+79=120', '120/4=30'] Exploring Operation: 5+30=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 74, 92, 10, 18 ]
63
[ "92+18=110", "110/10=11", "74-11=63" ]
Current State: 63:[74, 92, 10, 18], Operations: [] Exploring Operation: 92+18=110, Resulting Numbers: [74, 10, 110] Generated Node #2: [74, 10, 110] from Operation: 92+18=110 Current State: 63:[74, 10, 110], Operations: ['92+18=110'] Exploring Operation: 110/10=11, Resulting Numbers: [74, 11] Generated Node #3: [74, 11] from Operation: 110/10=11 Current State: 63:[74, 11], Operations: ['92+18=110', '110/10=11'] Exploring Operation: 74-11=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 15, 40, 43, 50 ]
55
[ "15*40=600", "600/50=12", "43+12=55" ]
Current State: 55:[15, 40, 43, 50], Operations: [] Exploring Operation: 15*40=600, Resulting Numbers: [43, 50, 600] Generated Node #2: [43, 50, 600] from Operation: 15*40=600 Current State: 55:[43, 50, 600], Operations: ['15*40=600'] Exploring Operation: 600/50=12, Resulting Numbers: [43, 12] Generated Node #3: [43, 12] from Operation: 600/50=12 Current State: 55:[43, 12], Operations: ['15*40=600', '600/50=12'] Exploring Operation: 43+12=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 61, 70, 47, 4 ]
42
[ "70-61=9", "47+4=51", "51-9=42" ]
Current State: 42:[61, 70, 47, 4], Operations: [] Exploring Operation: 70-61=9, Resulting Numbers: [47, 4, 9] Generated Node #2: [47, 4, 9] from Operation: 70-61=9 Current State: 42:[47, 4, 9], Operations: ['70-61=9'] Exploring Operation: 47+4=51, Resulting Numbers: [9, 51] Generated Node #3: [9, 51] from Operation: 47+4=51 Current State: 42:[9, 51], Operations: ['70-61=9', '47+4=51'] Exploring Operation: 51-9=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 73, 45, 23, 67 ]
75
[ "23+67=90", "90/45=2", "73+2=75" ]
Current State: 75:[73, 45, 23, 67], Operations: [] Exploring Operation: 23+67=90, Resulting Numbers: [73, 45, 90] Generated Node #2: [73, 45, 90] from Operation: 23+67=90 Current State: 75:[73, 45, 90], Operations: ['23+67=90'] Exploring Operation: 90/45=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 90/45=2 Current State: 75:[73, 2], Operations: ['23+67=90', '90/45=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 3, 43, 85, 94 ]
55
[ "3+43=46", "94-85=9", "46+9=55" ]
Current State: 55:[3, 43, 85, 94], Operations: [] Exploring Operation: 3+43=46, Resulting Numbers: [85, 94, 46] Generated Node #2: [85, 94, 46] from Operation: 3+43=46 Current State: 55:[85, 94, 46], Operations: ['3+43=46'] Exploring Operation: 94-85=9, Resulting Numbers: [46, 9] Generated Node #3: [46, 9] from Operation: 94-85=9 Current State: 55:[46, 9], Operations: ['3+43=46', '94-85=9'] Exploring Operation: 46+9=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 46, 47, 94, 97 ]
44
[ "46*97=4462", "47*94=4418", "4462-4418=44" ]
Current State: 44:[46, 47, 94, 97], Operations: [] Exploring Operation: 46*97=4462, Resulting Numbers: [47, 94, 4462] Generated Node #2: [47, 94, 4462] from Operation: 46*97=4462 Current State: 44:[47, 94, 4462], Operations: ['46*97=4462'] Exploring Operation: 47*94=4418, Resulting Numbers: [4462, 4418] Generated Node #3: [4462, 4418] from Operation: 47*94=4418 Current State: 44:[4462, 4418], Operations: ['46*97=4462', '47*94=4418'] Exploring Operation: 4462-4418=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 85, 1, 33, 58 ]
59
[ "85-1=84", "58-33=25", "84-25=59" ]
Current State: 59:[85, 1, 33, 58], Operations: [] Exploring Operation: 85-1=84, Resulting Numbers: [33, 58, 84] Generated Node #2: [33, 58, 84] from Operation: 85-1=84 Current State: 59:[33, 58, 84], Operations: ['85-1=84'] Exploring Operation: 58-33=25, Resulting Numbers: [84, 25] Generated Node #3: [84, 25] from Operation: 58-33=25 Current State: 59:[84, 25], Operations: ['85-1=84', '58-33=25'] Exploring Operation: 84-25=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 25, 4, 42, 93 ]
100
[ "93-25=68", "4*42=168", "168-68=100" ]
Current State: 100:[25, 4, 42, 93], Operations: [] Exploring Operation: 93-25=68, Resulting Numbers: [4, 42, 68] Generated Node #2: [4, 42, 68] from Operation: 93-25=68 Current State: 100:[4, 42, 68], Operations: ['93-25=68'] Exploring Operation: 4*42=168, Resulting Numbers: [68, 168] Generated Node #3: [68, 168] from Operation: 4*42=168 Current State: 100:[68, 168], Operations: ['93-25=68', '4*42=168'] Exploring Operation: 168-68=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 13, 71, 7, 2 ]
72
[ "71-13=58", "7*2=14", "58+14=72" ]
Current State: 72:[13, 71, 7, 2], Operations: [] Exploring Operation: 71-13=58, Resulting Numbers: [7, 2, 58] Generated Node #2: [7, 2, 58] from Operation: 71-13=58 Current State: 72:[7, 2, 58], Operations: ['71-13=58'] Exploring Operation: 7*2=14, Resulting Numbers: [58, 14] Generated Node #3: [58, 14] from Operation: 7*2=14 Current State: 72:[58, 14], Operations: ['71-13=58', '7*2=14'] Exploring Operation: 58+14=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 36, 28, 10, 14 ]
32
[ "36-28=8", "10+14=24", "8+24=32" ]
Current State: 32:[36, 28, 10, 14], Operations: [] Exploring Operation: 36-28=8, Resulting Numbers: [10, 14, 8] Generated Node #2: [10, 14, 8] from Operation: 36-28=8 Current State: 32:[10, 14, 8], Operations: ['36-28=8'] Exploring Operation: 10+14=24, Resulting Numbers: [8, 24] Generated Node #3: [8, 24] from Operation: 10+14=24 Current State: 32:[8, 24], Operations: ['36-28=8', '10+14=24'] Exploring Operation: 8+24=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 31, 7, 16, 10 ]
30
[ "31-7=24", "16-10=6", "24+6=30" ]
Current State: 30:[31, 7, 16, 10], Operations: [] Exploring Operation: 31-7=24, Resulting Numbers: [16, 10, 24] Generated Node #2: [16, 10, 24] from Operation: 31-7=24 Current State: 30:[16, 10, 24], Operations: ['31-7=24'] Exploring Operation: 16-10=6, Resulting Numbers: [24, 6] Generated Node #3: [24, 6] from Operation: 16-10=6 Current State: 30:[24, 6], Operations: ['31-7=24', '16-10=6'] Exploring Operation: 24+6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 26, 11, 1, 33 ]
48
[ "26-11=15", "1*33=33", "15+33=48" ]
Current State: 48:[26, 11, 1, 33], Operations: [] Exploring Operation: 26-11=15, Resulting Numbers: [1, 33, 15] Generated Node #2: [1, 33, 15] from Operation: 26-11=15 Current State: 48:[1, 33, 15], Operations: ['26-11=15'] Exploring Operation: 1*33=33, Resulting Numbers: [15, 33] Generated Node #3: [15, 33] from Operation: 1*33=33 Current State: 48:[15, 33], Operations: ['26-11=15', '1*33=33'] Exploring Operation: 15+33=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 62, 73, 68, 24 ]
77
[ "68-62=6", "24/6=4", "73+4=77" ]
Current State: 77:[62, 73, 68, 24], Operations: [] Exploring Operation: 68-62=6, Resulting Numbers: [73, 24, 6] Generated Node #2: [73, 24, 6] from Operation: 68-62=6 Current State: 77:[73, 24, 6], Operations: ['68-62=6'] Exploring Operation: 24/6=4, Resulting Numbers: [73, 4] Generated Node #3: [73, 4] from Operation: 24/6=4 Current State: 77:[73, 4], Operations: ['68-62=6', '24/6=4'] Exploring Operation: 73+4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 90, 61, 48, 87 ]
51
[ "90-61=29", "87/29=3", "48+3=51" ]
Current State: 51:[90, 61, 48, 87], Operations: [] Exploring Operation: 90-61=29, Resulting Numbers: [48, 87, 29] Generated Node #2: [48, 87, 29] from Operation: 90-61=29 Current State: 51:[48, 87, 29], Operations: ['90-61=29'] Exploring Operation: 87/29=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 87/29=3 Current State: 51:[48, 3], Operations: ['90-61=29', '87/29=3'] Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 10, 62, 73 ]
23
[ "2+10=12", "73-62=11", "12+11=23" ]
Current State: 23:[2, 10, 62, 73], Operations: [] Exploring Operation: 2+10=12, Resulting Numbers: [62, 73, 12] Generated Node #2: [62, 73, 12] from Operation: 2+10=12 Current State: 23:[62, 73, 12], Operations: ['2+10=12'] Exploring Operation: 73-62=11, Resulting Numbers: [12, 11] Generated Node #3: [12, 11] from Operation: 73-62=11 Current State: 23:[12, 11], Operations: ['2+10=12', '73-62=11'] Exploring Operation: 12+11=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 74, 76, 13, 88 ]
75
[ "74+76=150", "88-13=75", "150-75=75" ]
Current State: 75:[74, 76, 13, 88], Operations: [] Exploring Operation: 74+76=150, Resulting Numbers: [13, 88, 150] Generated Node #2: [13, 88, 150] from Operation: 74+76=150 Current State: 75:[13, 88, 150], Operations: ['74+76=150'] Exploring Operation: 88-13=75, Resulting Numbers: [150, 75] Generated Node #3: [150, 75] from Operation: 88-13=75 Current State: 75:[150, 75], Operations: ['74+76=150', '88-13=75'] Exploring Operation: 150-75=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 87, 4, 45, 5 ]
28
[ "87+45=132", "132/4=33", "33-5=28" ]
Current State: 28:[87, 4, 45, 5], Operations: [] Exploring Operation: 87+45=132, Resulting Numbers: [4, 5, 132] Generated Node #2: [4, 5, 132] from Operation: 87+45=132 Current State: 28:[4, 5, 132], Operations: ['87+45=132'] Exploring Operation: 132/4=33, Resulting Numbers: [5, 33] Generated Node #3: [5, 33] from Operation: 132/4=33 Current State: 28:[5, 33], Operations: ['87+45=132', '132/4=33'] Exploring Operation: 33-5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 13, 20, 12, 80 ]
18
[ "80-20=60", "60/12=5", "13+5=18" ]
Current State: 18:[13, 20, 12, 80], Operations: [] Exploring Operation: 80-20=60, Resulting Numbers: [13, 12, 60] Generated Node #2: [13, 12, 60] from Operation: 80-20=60 Current State: 18:[13, 12, 60], Operations: ['80-20=60'] Exploring Operation: 60/12=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 60/12=5 Current State: 18:[13, 5], Operations: ['80-20=60', '60/12=5'] Exploring Operation: 13+5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 44, 21, 10, 49 ]
95
[ "49-44=5", "21*5=105", "105-10=95" ]
Current State: 95:[44, 21, 10, 49], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [21, 10, 5] Generated Node #2: [21, 10, 5] from Operation: 49-44=5 Current State: 95:[21, 10, 5], Operations: ['49-44=5'] Exploring Operation: 21*5=105, Resulting Numbers: [10, 105] Generated Node #3: [10, 105] from Operation: 21*5=105 Current State: 95:[10, 105], Operations: ['49-44=5', '21*5=105'] Exploring Operation: 105-10=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 91, 94, 5, 23 ]
31
[ "94-91=3", "5+23=28", "3+28=31" ]
Current State: 31:[91, 94, 5, 23], Operations: [] Exploring Operation: 94-91=3, Resulting Numbers: [5, 23, 3] Generated Node #2: [5, 23, 3] from Operation: 94-91=3 Current State: 31:[5, 23, 3], Operations: ['94-91=3'] Exploring Operation: 5+23=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 5+23=28 Current State: 31:[3, 28], Operations: ['94-91=3', '5+23=28'] Exploring Operation: 3+28=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 2, 11, 97, 8 ]
96
[ "11-2=9", "97+8=105", "105-9=96" ]
Current State: 96:[2, 11, 97, 8], Operations: [] Exploring Operation: 11-2=9, Resulting Numbers: [97, 8, 9] Generated Node #2: [97, 8, 9] from Operation: 11-2=9 Current State: 96:[97, 8, 9], Operations: ['11-2=9'] Exploring Operation: 97+8=105, Resulting Numbers: [9, 105] Generated Node #3: [9, 105] from Operation: 97+8=105 Current State: 96:[9, 105], Operations: ['11-2=9', '97+8=105'] Exploring Operation: 105-9=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 20, 5, 58, 25 ]
59
[ "20+5=25", "25/25=1", "58+1=59" ]
Current State: 59:[20, 5, 58, 25], Operations: [] Exploring Operation: 20+5=25, Resulting Numbers: [58, 25, 25] Generated Node #2: [58, 25, 25] from Operation: 20+5=25 Current State: 59:[58, 25, 25], Operations: ['20+5=25'] Exploring Operation: 25/25=1, Resulting Numbers: [58, 1] Generated Node #3: [58, 1] from Operation: 25/25=1 Current State: 59:[58, 1], Operations: ['20+5=25', '25/25=1'] Exploring Operation: 58+1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 96, 23, 3, 96 ]
25
[ "96/96=1", "23+3=26", "26-1=25" ]
Current State: 25:[96, 23, 3, 96], Operations: [] Exploring Operation: 96/96=1, Resulting Numbers: [23, 3, 1] Generated Node #2: [23, 3, 1] from Operation: 96/96=1 Current State: 25:[23, 3, 1], Operations: ['96/96=1'] Exploring Operation: 23+3=26, Resulting Numbers: [1, 26] Generated Node #3: [1, 26] from Operation: 23+3=26 Current State: 25:[1, 26], Operations: ['96/96=1', '23+3=26'] Exploring Operation: 26-1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 37, 22, 7, 72 ]
91
[ "37+22=59", "72-59=13", "7*13=91" ]
Current State: 91:[37, 22, 7, 72], Operations: [] Exploring Operation: 37+22=59, Resulting Numbers: [7, 72, 59] Generated Node #2: [7, 72, 59] from Operation: 37+22=59 Current State: 91:[7, 72, 59], Operations: ['37+22=59'] Exploring Operation: 72-59=13, Resulting Numbers: [7, 13] Generated Node #3: [7, 13] from Operation: 72-59=13 Current State: 91:[7, 13], Operations: ['37+22=59', '72-59=13'] Exploring Operation: 7*13=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 13, 36, 33, 38 ]
40
[ "33-13=20", "38-36=2", "20*2=40" ]
Current State: 40:[13, 36, 33, 38], Operations: [] Exploring Operation: 33-13=20, Resulting Numbers: [36, 38, 20] Generated Node #2: [36, 38, 20] from Operation: 33-13=20 Current State: 40:[36, 38, 20], Operations: ['33-13=20'] Exploring Operation: 38-36=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 38-36=2 Current State: 40:[20, 2], Operations: ['33-13=20', '38-36=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 65, 3, 14, 7 ]
16
[ "65-7=58", "3*14=42", "58-42=16" ]
Current State: 16:[65, 3, 14, 7], Operations: [] Exploring Operation: 65-7=58, Resulting Numbers: [3, 14, 58] Generated Node #2: [3, 14, 58] from Operation: 65-7=58 Current State: 16:[3, 14, 58], Operations: ['65-7=58'] Exploring Operation: 3*14=42, Resulting Numbers: [58, 42] Generated Node #3: [58, 42] from Operation: 3*14=42 Current State: 16:[58, 42], Operations: ['65-7=58', '3*14=42'] Exploring Operation: 58-42=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 17, 63, 8, 71 ]
52
[ "17+71=88", "88/8=11", "63-11=52" ]
Current State: 52:[17, 63, 8, 71], Operations: [] Exploring Operation: 17+71=88, Resulting Numbers: [63, 8, 88] Generated Node #2: [63, 8, 88] from Operation: 17+71=88 Current State: 52:[63, 8, 88], Operations: ['17+71=88'] Exploring Operation: 88/8=11, Resulting Numbers: [63, 11] Generated Node #3: [63, 11] from Operation: 88/8=11 Current State: 52:[63, 11], Operations: ['17+71=88', '88/8=11'] Exploring Operation: 63-11=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 9, 35, 45, 60 ]
12
[ "35+45=80", "9*80=720", "720/60=12" ]
Current State: 12:[9, 35, 45, 60], Operations: [] Exploring Operation: 35+45=80, Resulting Numbers: [9, 60, 80] Generated Node #2: [9, 60, 80] from Operation: 35+45=80 Current State: 12:[9, 60, 80], Operations: ['35+45=80'] Exploring Operation: 9*80=720, Resulting Numbers: [60, 720] Generated Node #3: [60, 720] from Operation: 9*80=720 Current State: 12:[60, 720], Operations: ['35+45=80', '9*80=720'] Exploring Operation: 720/60=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 57, 26, 1, 53 ]
100
[ "57-53=4", "26-1=25", "4*25=100" ]
Current State: 100:[57, 26, 1, 53], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [26, 1, 4] Generated Node #2: [26, 1, 4] from Operation: 57-53=4 Current State: 100:[26, 1, 4], Operations: ['57-53=4'] Exploring Operation: 26-1=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 26-1=25 Current State: 100:[4, 25], Operations: ['57-53=4', '26-1=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 6, 20, 25, 84 ]
70
[ "84/6=14", "25-20=5", "14*5=70" ]
Current State: 70:[6, 20, 25, 84], Operations: [] Exploring Operation: 84/6=14, Resulting Numbers: [20, 25, 14] Generated Node #2: [20, 25, 14] from Operation: 84/6=14 Current State: 70:[20, 25, 14], Operations: ['84/6=14'] Exploring Operation: 25-20=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 25-20=5 Current State: 70:[14, 5], Operations: ['84/6=14', '25-20=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 91, 97, 93, 43 ]
70
[ "93-91=2", "97+43=140", "140/2=70" ]
Current State: 70:[91, 97, 93, 43], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [97, 43, 2] Generated Node #2: [97, 43, 2] from Operation: 93-91=2 Current State: 70:[97, 43, 2], Operations: ['93-91=2'] Exploring Operation: 97+43=140, Resulting Numbers: [2, 140] Generated Node #3: [2, 140] from Operation: 97+43=140 Current State: 70:[2, 140], Operations: ['93-91=2', '97+43=140'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 36, 3, 44, 40 ]
40
[ "36+44=80", "3*40=120", "120-80=40" ]
Current State: 40:[36, 3, 44, 40], Operations: [] Exploring Operation: 36+44=80, Resulting Numbers: [3, 40, 80] Generated Node #2: [3, 40, 80] from Operation: 36+44=80 Current State: 40:[3, 40, 80], Operations: ['36+44=80'] Exploring Operation: 3*40=120, Resulting Numbers: [80, 120] Generated Node #3: [80, 120] from Operation: 3*40=120 Current State: 40:[80, 120], Operations: ['36+44=80', '3*40=120'] Exploring Operation: 120-80=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 8, 37, 10, 95 ]
76
[ "37-8=29", "10+95=105", "105-29=76" ]
Current State: 76:[8, 37, 10, 95], Operations: [] Exploring Operation: 37-8=29, Resulting Numbers: [10, 95, 29] Generated Node #2: [10, 95, 29] from Operation: 37-8=29 Current State: 76:[10, 95, 29], Operations: ['37-8=29'] Exploring Operation: 10+95=105, Resulting Numbers: [29, 105] Generated Node #3: [29, 105] from Operation: 10+95=105 Current State: 76:[29, 105], Operations: ['37-8=29', '10+95=105'] Exploring Operation: 105-29=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 30, 99, 39, 50 ]
21
[ "50-39=11", "99/11=9", "30-9=21" ]
Current State: 21:[30, 99, 39, 50], Operations: [] Exploring Operation: 50-39=11, Resulting Numbers: [30, 99, 11] Generated Node #2: [30, 99, 11] from Operation: 50-39=11 Current State: 21:[30, 99, 11], Operations: ['50-39=11'] Exploring Operation: 99/11=9, Resulting Numbers: [30, 9] Generated Node #3: [30, 9] from Operation: 99/11=9 Current State: 21:[30, 9], Operations: ['50-39=11', '99/11=9'] Exploring Operation: 30-9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 69, 9, 5, 36 ]
91
[ "69-9=60", "36-5=31", "60+31=91" ]
Current State: 91:[69, 9, 5, 36], Operations: [] Exploring Operation: 69-9=60, Resulting Numbers: [5, 36, 60] Generated Node #2: [5, 36, 60] from Operation: 69-9=60 Current State: 91:[5, 36, 60], Operations: ['69-9=60'] Exploring Operation: 36-5=31, Resulting Numbers: [60, 31] Generated Node #3: [60, 31] from Operation: 36-5=31 Current State: 91:[60, 31], Operations: ['69-9=60', '36-5=31'] Exploring Operation: 60+31=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 63, 76, 97, 5 ]
37
[ "63+76=139", "97+5=102", "139-102=37" ]
Current State: 37:[63, 76, 97, 5], Operations: [] Exploring Operation: 63+76=139, Resulting Numbers: [97, 5, 139] Generated Node #2: [97, 5, 139] from Operation: 63+76=139 Current State: 37:[97, 5, 139], Operations: ['63+76=139'] Exploring Operation: 97+5=102, Resulting Numbers: [139, 102] Generated Node #3: [139, 102] from Operation: 97+5=102 Current State: 37:[139, 102], Operations: ['63+76=139', '97+5=102'] Exploring Operation: 139-102=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 13, 71, 32, 2 ]
58
[ "13+71=84", "32+84=116", "116/2=58" ]
Current State: 58:[13, 71, 32, 2], Operations: [] Exploring Operation: 13+71=84, Resulting Numbers: [32, 2, 84] Generated Node #2: [32, 2, 84] from Operation: 13+71=84 Current State: 58:[32, 2, 84], Operations: ['13+71=84'] Exploring Operation: 32+84=116, Resulting Numbers: [2, 116] Generated Node #3: [2, 116] from Operation: 32+84=116 Current State: 58:[2, 116], Operations: ['13+71=84', '32+84=116'] Exploring Operation: 116/2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 25, 16, 8, 45 ]
46
[ "25-16=9", "45-8=37", "9+37=46" ]
Current State: 46:[25, 16, 8, 45], Operations: [] Exploring Operation: 25-16=9, Resulting Numbers: [8, 45, 9] Generated Node #2: [8, 45, 9] from Operation: 25-16=9 Current State: 46:[8, 45, 9], Operations: ['25-16=9'] Exploring Operation: 45-8=37, Resulting Numbers: [9, 37] Generated Node #3: [9, 37] from Operation: 45-8=37 Current State: 46:[9, 37], Operations: ['25-16=9', '45-8=37'] Exploring Operation: 9+37=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 51, 80, 34, 44 ]
59
[ "44-34=10", "80/10=8", "51+8=59" ]
Current State: 59:[51, 80, 34, 44], Operations: [] Exploring Operation: 44-34=10, Resulting Numbers: [51, 80, 10] Generated Node #2: [51, 80, 10] from Operation: 44-34=10 Current State: 59:[51, 80, 10], Operations: ['44-34=10'] Exploring Operation: 80/10=8, Resulting Numbers: [51, 8] Generated Node #3: [51, 8] from Operation: 80/10=8 Current State: 59:[51, 8], Operations: ['44-34=10', '80/10=8'] Exploring Operation: 51+8=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 40, 23, 43, 86 ]
34
[ "40-23=17", "86/43=2", "17*2=34" ]
Current State: 34:[40, 23, 43, 86], Operations: [] Exploring Operation: 40-23=17, Resulting Numbers: [43, 86, 17] Generated Node #2: [43, 86, 17] from Operation: 40-23=17 Current State: 34:[43, 86, 17], Operations: ['40-23=17'] Exploring Operation: 86/43=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 86/43=2 Current State: 34:[17, 2], Operations: ['40-23=17', '86/43=2'] Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 24, 36, 78, 14 ]
47
[ "78*14=1092", "36+1092=1128", "1128/24=47" ]
Current State: 47:[24, 36, 78, 14], Operations: [] Exploring Operation: 78*14=1092, Resulting Numbers: [24, 36, 1092] Generated Node #2: [24, 36, 1092] from Operation: 78*14=1092 Current State: 47:[24, 36, 1092], Operations: ['78*14=1092'] Exploring Operation: 36+1092=1128, Resulting Numbers: [24, 1128] Generated Node #3: [24, 1128] from Operation: 36+1092=1128 Current State: 47:[24, 1128], Operations: ['78*14=1092', '36+1092=1128'] Exploring Operation: 1128/24=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 68, 88, 41, 39 ]
48
[ "41-39=2", "68*2=136", "136-88=48" ]
Current State: 48:[68, 88, 41, 39], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [68, 88, 2] Generated Node #2: [68, 88, 2] from Operation: 41-39=2 Current State: 48:[68, 88, 2], Operations: ['41-39=2'] Exploring Operation: 68*2=136, Resulting Numbers: [88, 136] Generated Node #3: [88, 136] from Operation: 68*2=136 Current State: 48:[88, 136], Operations: ['41-39=2', '68*2=136'] Exploring Operation: 136-88=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 19, 20, 15, 13 ]
53
[ "19*13=247", "20*15=300", "300-247=53" ]
Current State: 53:[19, 20, 15, 13], Operations: [] Exploring Operation: 19*13=247, Resulting Numbers: [20, 15, 247] Generated Node #2: [20, 15, 247] from Operation: 19*13=247 Current State: 53:[20, 15, 247], Operations: ['19*13=247'] Exploring Operation: 20*15=300, Resulting Numbers: [247, 300] Generated Node #3: [247, 300] from Operation: 20*15=300 Current State: 53:[247, 300], Operations: ['19*13=247', '20*15=300'] Exploring Operation: 300-247=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 56, 8, 80, 16 ]
66
[ "16-8=8", "80/8=10", "56+10=66" ]
Current State: 66:[56, 8, 80, 16], Operations: [] Exploring Operation: 16-8=8, Resulting Numbers: [56, 80, 8] Generated Node #2: [56, 80, 8] from Operation: 16-8=8 Current State: 66:[56, 80, 8], Operations: ['16-8=8'] Exploring Operation: 80/8=10, Resulting Numbers: [56, 10] Generated Node #3: [56, 10] from Operation: 80/8=10 Current State: 66:[56, 10], Operations: ['16-8=8', '80/8=10'] Exploring Operation: 56+10=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4