Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 18, 24, 80, 39 ]
99
[ "18*80=1440", "1440/24=60", "39+60=99" ]
Current State: 99:[18, 24, 80, 39], Operations: [] Exploring Operation: 18*80=1440, Resulting Numbers: [24, 39, 1440] Generated Node #2: [24, 39, 1440] from Operation: 18*80=1440 Current State: 99:[24, 39, 1440], Operations: ['18*80=1440'] Exploring Operation: 1440/24=60, Resulting Numbers: [39, 60] Generated Node #3: [39, 60] from Operation: 1440/24=60 Current State: 99:[39, 60], Operations: ['18*80=1440', '1440/24=60'] Exploring Operation: 39+60=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 2, 75, 90, 55 ]
100
[ "75-55=20", "20/2=10", "90+10=100" ]
Current State: 100:[2, 75, 90, 55], Operations: [] Exploring Operation: 75-55=20, Resulting Numbers: [2, 90, 20] Generated Node #2: [2, 90, 20] from Operation: 75-55=20 Current State: 100:[2, 90, 20], Operations: ['75-55=20'] Exploring Operation: 20/2=10, Resulting Numbers: [90, 10] Generated Node #3: [90, 10] from Operation: 20/2=10 Current State: 100:[90, 10], Operations: ['75-55=20', '20/2=10'] Exploring Operation: 90+10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 78, 94, 50, 15 ]
50
[ "94-78=16", "16-15=1", "50*1=50" ]
Current State: 50:[78, 94, 50, 15], Operations: [] Exploring Operation: 94-78=16, Resulting Numbers: [50, 15, 16] Generated Node #2: [50, 15, 16] from Operation: 94-78=16 Current State: 50:[50, 15, 16], Operations: ['94-78=16'] Exploring Operation: 16-15=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 16-15=1 Current State: 50:[50, 1], Operations: ['94-78=16', '16-15=1'] Exploring Operation: 50*1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 41, 82, 67, 90 ]
46
[ "82/41=2", "90-67=23", "2*23=46" ]
Current State: 46:[41, 82, 67, 90], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [67, 90, 2] Generated Node #2: [67, 90, 2] from Operation: 82/41=2 Current State: 46:[67, 90, 2], Operations: ['82/41=2'] Exploring Operation: 90-67=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 90-67=23 Current State: 46:[2, 23], Operations: ['82/41=2', '90-67=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 56, 38, 26, 28 ]
32
[ "56/28=2", "38+26=64", "64/2=32" ]
Current State: 32:[56, 38, 26, 28], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [38, 26, 2] Generated Node #2: [38, 26, 2] from Operation: 56/28=2 Current State: 32:[38, 26, 2], Operations: ['56/28=2'] Exploring Operation: 38+26=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 38+26=64 Current State: 32:[2, 64], Operations: ['56/28=2', '38+26=64'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 92, 82, 30, 42 ]
69
[ "92*30=2760", "82-42=40", "2760/40=69" ]
Current State: 69:[92, 82, 30, 42], Operations: [] Exploring Operation: 92*30=2760, Resulting Numbers: [82, 42, 2760] Generated Node #2: [82, 42, 2760] from Operation: 92*30=2760 Current State: 69:[82, 42, 2760], Operations: ['92*30=2760'] Exploring Operation: 82-42=40, Resulting Numbers: [2760, 40] Generated Node #3: [2760, 40] from Operation: 82-42=40 Current State: 69:[2760, 40], Operations: ['92*30=2760', '82-42=40'] Exploring Operation: 2760/40=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 23, 67, 60, 94 ]
15
[ "23+67=90", "94-90=4", "60/4=15" ]
Current State: 15:[23, 67, 60, 94], Operations: [] Exploring Operation: 23+67=90, Resulting Numbers: [60, 94, 90] Generated Node #2: [60, 94, 90] from Operation: 23+67=90 Current State: 15:[60, 94, 90], Operations: ['23+67=90'] Exploring Operation: 94-90=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 94-90=4 Current State: 15:[60, 4], Operations: ['23+67=90', '94-90=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 13, 90, 77, 48 ]
48
[ "90-13=77", "77+48=125", "125-77=48" ]
Current State: 48:[13, 90, 77, 48], Operations: [] Exploring Operation: 90-13=77, Resulting Numbers: [77, 48, 77] Generated Node #2: [77, 48, 77] from Operation: 90-13=77 Current State: 48:[77, 48, 77], Operations: ['90-13=77'] Exploring Operation: 77+48=125, Resulting Numbers: [125] 125,48 equal: Goal Reached Exploring Operation: 125-77=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 27, 96, 25, 65 ]
62
[ "27-25=2", "96-65=31", "2*31=62" ]
Current State: 62:[27, 96, 25, 65], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [96, 65, 2] Generated Node #2: [96, 65, 2] from Operation: 27-25=2 Current State: 62:[96, 65, 2], Operations: ['27-25=2'] Exploring Operation: 96-65=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 96-65=31 Current State: 62:[2, 31], Operations: ['27-25=2', '96-65=31'] Exploring Operation: 2*31=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 76, 89, 4, 79 ]
90
[ "76+89=165", "79-4=75", "165-75=90" ]
Current State: 90:[76, 89, 4, 79], Operations: [] Exploring Operation: 76+89=165, Resulting Numbers: [4, 79, 165] Generated Node #2: [4, 79, 165] from Operation: 76+89=165 Current State: 90:[4, 79, 165], Operations: ['76+89=165'] Exploring Operation: 79-4=75, Resulting Numbers: [165, 75] Generated Node #3: [165, 75] from Operation: 79-4=75 Current State: 90:[165, 75], Operations: ['76+89=165', '79-4=75'] Exploring Operation: 165-75=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 69, 7, 21, 2 ]
83
[ "7+21=28", "28/2=14", "69+14=83" ]
Current State: 83:[69, 7, 21, 2], Operations: [] Exploring Operation: 7+21=28, Resulting Numbers: [69, 2, 28] Generated Node #2: [69, 2, 28] from Operation: 7+21=28 Current State: 83:[69, 2, 28], Operations: ['7+21=28'] Exploring Operation: 28/2=14, Resulting Numbers: [69, 14] Generated Node #3: [69, 14] from Operation: 28/2=14 Current State: 83:[69, 14], Operations: ['7+21=28', '28/2=14'] Exploring Operation: 69+14=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 93, 4, 2, 84 ]
75
[ "4-2=2", "84*2=168", "168-93=75" ]
Current State: 75:[93, 4, 2, 84], Operations: [] Exploring Operation: 4-2=2, Resulting Numbers: [93, 84, 2] Generated Node #2: [93, 84, 2] from Operation: 4-2=2 Current State: 75:[93, 84, 2], Operations: ['4-2=2'] Exploring Operation: 84*2=168, Resulting Numbers: [93, 168] Generated Node #3: [93, 168] from Operation: 84*2=168 Current State: 75:[93, 168], Operations: ['4-2=2', '84*2=168'] Exploring Operation: 168-93=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 35, 41, 22, 6 ]
96
[ "41-35=6", "22-6=16", "6*16=96" ]
Current State: 96:[35, 41, 22, 6], Operations: [] Exploring Operation: 41-35=6, Resulting Numbers: [22, 6, 6] Generated Node #2: [22, 6, 6] from Operation: 41-35=6 Current State: 96:[22, 6, 6], Operations: ['41-35=6'] Exploring Operation: 22-6=16, Resulting Numbers: [16] 16,96 equal: Goal Reached Exploring Operation: 6*16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 24, 28, 21, 66 ]
91
[ "28-24=4", "21+66=87", "4+87=91" ]
Current State: 91:[24, 28, 21, 66], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [21, 66, 4] Generated Node #2: [21, 66, 4] from Operation: 28-24=4 Current State: 91:[21, 66, 4], Operations: ['28-24=4'] Exploring Operation: 21+66=87, Resulting Numbers: [4, 87] Generated Node #3: [4, 87] from Operation: 21+66=87 Current State: 91:[4, 87], Operations: ['28-24=4', '21+66=87'] Exploring Operation: 4+87=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 33, 27, 50, 96 ]
66
[ "33-27=6", "96/6=16", "50+16=66" ]
Current State: 66:[33, 27, 50, 96], Operations: [] Exploring Operation: 33-27=6, Resulting Numbers: [50, 96, 6] Generated Node #2: [50, 96, 6] from Operation: 33-27=6 Current State: 66:[50, 96, 6], Operations: ['33-27=6'] Exploring Operation: 96/6=16, Resulting Numbers: [50, 16] Generated Node #3: [50, 16] from Operation: 96/6=16 Current State: 66:[50, 16], Operations: ['33-27=6', '96/6=16'] Exploring Operation: 50+16=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 50, 54, 27, 51 ]
41
[ "54-51=3", "27/3=9", "50-9=41" ]
Current State: 41:[50, 54, 27, 51], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [50, 27, 3] Generated Node #2: [50, 27, 3] from Operation: 54-51=3 Current State: 41:[50, 27, 3], Operations: ['54-51=3'] Exploring Operation: 27/3=9, Resulting Numbers: [50, 9] Generated Node #3: [50, 9] from Operation: 27/3=9 Current State: 41:[50, 9], Operations: ['54-51=3', '27/3=9'] Exploring Operation: 50-9=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 6, 90, 48, 5 ]
24
[ "48-6=42", "90/5=18", "42-18=24" ]
Current State: 24:[6, 90, 48, 5], Operations: [] Exploring Operation: 48-6=42, Resulting Numbers: [90, 5, 42] Generated Node #2: [90, 5, 42] from Operation: 48-6=42 Current State: 24:[90, 5, 42], Operations: ['48-6=42'] Exploring Operation: 90/5=18, Resulting Numbers: [42, 18] Generated Node #3: [42, 18] from Operation: 90/5=18 Current State: 24:[42, 18], Operations: ['48-6=42', '90/5=18'] Exploring Operation: 42-18=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 52, 39, 6, 3 ]
83
[ "39+6=45", "3*45=135", "135-52=83" ]
Current State: 83:[52, 39, 6, 3], Operations: [] Exploring Operation: 39+6=45, Resulting Numbers: [52, 3, 45] Generated Node #2: [52, 3, 45] from Operation: 39+6=45 Current State: 83:[52, 3, 45], Operations: ['39+6=45'] Exploring Operation: 3*45=135, Resulting Numbers: [52, 135] Generated Node #3: [52, 135] from Operation: 3*45=135 Current State: 83:[52, 135], Operations: ['39+6=45', '3*45=135'] Exploring Operation: 135-52=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 29, 36, 95, 18 ]
33
[ "95-29=66", "36/18=2", "66/2=33" ]
Current State: 33:[29, 36, 95, 18], Operations: [] Exploring Operation: 95-29=66, Resulting Numbers: [36, 18, 66] Generated Node #2: [36, 18, 66] from Operation: 95-29=66 Current State: 33:[36, 18, 66], Operations: ['95-29=66'] Exploring Operation: 36/18=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 36/18=2 Current State: 33:[66, 2], Operations: ['95-29=66', '36/18=2'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 96, 40, 28, 92 ]
33
[ "96-92=4", "28/4=7", "40-7=33" ]
Current State: 33:[96, 40, 28, 92], Operations: [] Exploring Operation: 96-92=4, Resulting Numbers: [40, 28, 4] Generated Node #2: [40, 28, 4] from Operation: 96-92=4 Current State: 33:[40, 28, 4], Operations: ['96-92=4'] Exploring Operation: 28/4=7, Resulting Numbers: [40, 7] Generated Node #3: [40, 7] from Operation: 28/4=7 Current State: 33:[40, 7], Operations: ['96-92=4', '28/4=7'] Exploring Operation: 40-7=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 94, 20, 59, 1 ]
97
[ "59+1=60", "60/20=3", "94+3=97" ]
Current State: 97:[94, 20, 59, 1], Operations: [] Exploring Operation: 59+1=60, Resulting Numbers: [94, 20, 60] Generated Node #2: [94, 20, 60] from Operation: 59+1=60 Current State: 97:[94, 20, 60], Operations: ['59+1=60'] Exploring Operation: 60/20=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 60/20=3 Current State: 97:[94, 3], Operations: ['59+1=60', '60/20=3'] Exploring Operation: 94+3=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 74, 80, 20, 46 ]
10
[ "74+80=154", "46+154=200", "200/20=10" ]
Current State: 10:[74, 80, 20, 46], Operations: [] Exploring Operation: 74+80=154, Resulting Numbers: [20, 46, 154] Generated Node #2: [20, 46, 154] from Operation: 74+80=154 Current State: 10:[20, 46, 154], Operations: ['74+80=154'] Exploring Operation: 46+154=200, Resulting Numbers: [20, 200] Generated Node #3: [20, 200] from Operation: 46+154=200 Current State: 10:[20, 200], Operations: ['74+80=154', '46+154=200'] Exploring Operation: 200/20=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 70, 14, 81, 58 ]
87
[ "70-58=12", "14*12=168", "168-81=87" ]
Current State: 87:[70, 14, 81, 58], Operations: [] Exploring Operation: 70-58=12, Resulting Numbers: [14, 81, 12] Generated Node #2: [14, 81, 12] from Operation: 70-58=12 Current State: 87:[14, 81, 12], Operations: ['70-58=12'] Exploring Operation: 14*12=168, Resulting Numbers: [81, 168] Generated Node #3: [81, 168] from Operation: 14*12=168 Current State: 87:[81, 168], Operations: ['70-58=12', '14*12=168'] Exploring Operation: 168-81=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 38, 3, 99, 26 ]
17
[ "99-38=61", "3*26=78", "78-61=17" ]
Current State: 17:[38, 3, 99, 26], Operations: [] Exploring Operation: 99-38=61, Resulting Numbers: [3, 26, 61] Generated Node #2: [3, 26, 61] from Operation: 99-38=61 Current State: 17:[3, 26, 61], Operations: ['99-38=61'] Exploring Operation: 3*26=78, Resulting Numbers: [61, 78] Generated Node #3: [61, 78] from Operation: 3*26=78 Current State: 17:[61, 78], Operations: ['99-38=61', '3*26=78'] Exploring Operation: 78-61=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 3, 17, 34, 35 ]
19
[ "3+17=20", "35-34=1", "20-1=19" ]
Current State: 19:[3, 17, 34, 35], Operations: [] Exploring Operation: 3+17=20, Resulting Numbers: [34, 35, 20] Generated Node #2: [34, 35, 20] from Operation: 3+17=20 Current State: 19:[34, 35, 20], Operations: ['3+17=20'] Exploring Operation: 35-34=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 35-34=1 Current State: 19:[20, 1], Operations: ['3+17=20', '35-34=1'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 12, 66, 21, 7 ]
34
[ "66*7=462", "462/21=22", "12+22=34" ]
Current State: 34:[12, 66, 21, 7], Operations: [] Exploring Operation: 66*7=462, Resulting Numbers: [12, 21, 462] Generated Node #2: [12, 21, 462] from Operation: 66*7=462 Current State: 34:[12, 21, 462], Operations: ['66*7=462'] Exploring Operation: 462/21=22, Resulting Numbers: [12, 22] Generated Node #3: [12, 22] from Operation: 462/21=22 Current State: 34:[12, 22], Operations: ['66*7=462', '462/21=22'] Exploring Operation: 12+22=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 36, 9, 5, 54 ]
25
[ "36-5=31", "54/9=6", "31-6=25" ]
Current State: 25:[36, 9, 5, 54], Operations: [] Exploring Operation: 36-5=31, Resulting Numbers: [9, 54, 31] Generated Node #2: [9, 54, 31] from Operation: 36-5=31 Current State: 25:[9, 54, 31], Operations: ['36-5=31'] Exploring Operation: 54/9=6, Resulting Numbers: [31, 6] Generated Node #3: [31, 6] from Operation: 54/9=6 Current State: 25:[31, 6], Operations: ['36-5=31', '54/9=6'] Exploring Operation: 31-6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 9, 73, 11, 1 ]
37
[ "11-9=2", "73+1=74", "74/2=37" ]
Current State: 37:[9, 73, 11, 1], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [73, 1, 2] Generated Node #2: [73, 1, 2] from Operation: 11-9=2 Current State: 37:[73, 1, 2], Operations: ['11-9=2'] Exploring Operation: 73+1=74, Resulting Numbers: [2, 74] Generated Node #3: [2, 74] from Operation: 73+1=74 Current State: 37:[2, 74], Operations: ['11-9=2', '73+1=74'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 73, 4, 18, 76 ]
74
[ "73-18=55", "76/4=19", "55+19=74" ]
Current State: 74:[73, 4, 18, 76], Operations: [] Exploring Operation: 73-18=55, Resulting Numbers: [4, 76, 55] Generated Node #2: [4, 76, 55] from Operation: 73-18=55 Current State: 74:[4, 76, 55], Operations: ['73-18=55'] Exploring Operation: 76/4=19, Resulting Numbers: [55, 19] Generated Node #3: [55, 19] from Operation: 76/4=19 Current State: 74:[55, 19], Operations: ['73-18=55', '76/4=19'] Exploring Operation: 55+19=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 85, 67, 2, 5 ]
21
[ "85-67=18", "5-2=3", "18+3=21" ]
Current State: 21:[85, 67, 2, 5], Operations: [] Exploring Operation: 85-67=18, Resulting Numbers: [2, 5, 18] Generated Node #2: [2, 5, 18] from Operation: 85-67=18 Current State: 21:[2, 5, 18], Operations: ['85-67=18'] Exploring Operation: 5-2=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 5-2=3 Current State: 21:[18, 3], Operations: ['85-67=18', '5-2=3'] Exploring Operation: 18+3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 1, 19, 2, 56 ]
73
[ "1*19=19", "56-2=54", "19+54=73" ]
Current State: 73:[1, 19, 2, 56], Operations: [] Exploring Operation: 1*19=19, Resulting Numbers: [2, 56, 19] Generated Node #2: [2, 56, 19] from Operation: 1*19=19 Current State: 73:[2, 56, 19], Operations: ['1*19=19'] Exploring Operation: 56-2=54, Resulting Numbers: [19, 54] Generated Node #3: [19, 54] from Operation: 56-2=54 Current State: 73:[19, 54], Operations: ['1*19=19', '56-2=54'] Exploring Operation: 19+54=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 11, 35, 84, 96 ]
12
[ "35-11=24", "96-84=12", "24-12=12" ]
Current State: 12:[11, 35, 84, 96], Operations: [] Exploring Operation: 35-11=24, Resulting Numbers: [84, 96, 24] Generated Node #2: [84, 96, 24] from Operation: 35-11=24 Current State: 12:[84, 96, 24], Operations: ['35-11=24'] Exploring Operation: 96-84=12, Resulting Numbers: [24, 12] Generated Node #3: [24, 12] from Operation: 96-84=12 Current State: 12:[24, 12], Operations: ['35-11=24', '96-84=12'] Exploring Operation: 24-12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 26, 68, 75, 10 ]
23
[ "68-26=42", "75-10=65", "65-42=23" ]
Current State: 23:[26, 68, 75, 10], Operations: [] Exploring Operation: 68-26=42, Resulting Numbers: [75, 10, 42] Generated Node #2: [75, 10, 42] from Operation: 68-26=42 Current State: 23:[75, 10, 42], Operations: ['68-26=42'] Exploring Operation: 75-10=65, Resulting Numbers: [42, 65] Generated Node #3: [42, 65] from Operation: 75-10=65 Current State: 23:[42, 65], Operations: ['68-26=42', '75-10=65'] Exploring Operation: 65-42=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 53, 2, 49, 48 ]
52
[ "53-2=51", "49-48=1", "51+1=52" ]
Current State: 52:[53, 2, 49, 48], Operations: [] Exploring Operation: 53-2=51, Resulting Numbers: [49, 48, 51] Generated Node #2: [49, 48, 51] from Operation: 53-2=51 Current State: 52:[49, 48, 51], Operations: ['53-2=51'] Exploring Operation: 49-48=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 49-48=1 Current State: 52:[51, 1], Operations: ['53-2=51', '49-48=1'] Exploring Operation: 51+1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 77, 68, 51, 22 ]
82
[ "77-68=9", "51+22=73", "9+73=82" ]
Current State: 82:[77, 68, 51, 22], Operations: [] Exploring Operation: 77-68=9, Resulting Numbers: [51, 22, 9] Generated Node #2: [51, 22, 9] from Operation: 77-68=9 Current State: 82:[51, 22, 9], Operations: ['77-68=9'] Exploring Operation: 51+22=73, Resulting Numbers: [9, 73] Generated Node #3: [9, 73] from Operation: 51+22=73 Current State: 82:[9, 73], Operations: ['77-68=9', '51+22=73'] Exploring Operation: 9+73=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 11, 51, 50, 85 ]
75
[ "51-11=40", "85-50=35", "40+35=75" ]
Current State: 75:[11, 51, 50, 85], Operations: [] Exploring Operation: 51-11=40, Resulting Numbers: [50, 85, 40] Generated Node #2: [50, 85, 40] from Operation: 51-11=40 Current State: 75:[50, 85, 40], Operations: ['51-11=40'] Exploring Operation: 85-50=35, Resulting Numbers: [40, 35] Generated Node #3: [40, 35] from Operation: 85-50=35 Current State: 75:[40, 35], Operations: ['51-11=40', '85-50=35'] Exploring Operation: 40+35=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 52, 54, 92, 38 ]
73
[ "54-52=2", "38/2=19", "92-19=73" ]
Current State: 73:[52, 54, 92, 38], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [92, 38, 2] Generated Node #2: [92, 38, 2] from Operation: 54-52=2 Current State: 73:[92, 38, 2], Operations: ['54-52=2'] Exploring Operation: 38/2=19, Resulting Numbers: [92, 19] Generated Node #3: [92, 19] from Operation: 38/2=19 Current State: 73:[92, 19], Operations: ['54-52=2', '38/2=19'] Exploring Operation: 92-19=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 92, 71, 58, 98 ]
19
[ "92-71=21", "98-58=40", "40-21=19" ]
Current State: 19:[92, 71, 58, 98], Operations: [] Exploring Operation: 92-71=21, Resulting Numbers: [58, 98, 21] Generated Node #2: [58, 98, 21] from Operation: 92-71=21 Current State: 19:[58, 98, 21], Operations: ['92-71=21'] Exploring Operation: 98-58=40, Resulting Numbers: [21, 40] Generated Node #3: [21, 40] from Operation: 98-58=40 Current State: 19:[21, 40], Operations: ['92-71=21', '98-58=40'] Exploring Operation: 40-21=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 17, 89, 52, 9 ]
91
[ "17+9=26", "52/26=2", "89+2=91" ]
Current State: 91:[17, 89, 52, 9], Operations: [] Exploring Operation: 17+9=26, Resulting Numbers: [89, 52, 26] Generated Node #2: [89, 52, 26] from Operation: 17+9=26 Current State: 91:[89, 52, 26], Operations: ['17+9=26'] Exploring Operation: 52/26=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 52/26=2 Current State: 91:[89, 2], Operations: ['17+9=26', '52/26=2'] Exploring Operation: 89+2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 10, 17, 89, 45 ]
51
[ "17-10=7", "89-45=44", "7+44=51" ]
Current State: 51:[10, 17, 89, 45], Operations: [] Exploring Operation: 17-10=7, Resulting Numbers: [89, 45, 7] Generated Node #2: [89, 45, 7] from Operation: 17-10=7 Current State: 51:[89, 45, 7], Operations: ['17-10=7'] Exploring Operation: 89-45=44, Resulting Numbers: [7, 44] Generated Node #3: [7, 44] from Operation: 89-45=44 Current State: 51:[7, 44], Operations: ['17-10=7', '89-45=44'] Exploring Operation: 7+44=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 81, 9, 10, 51 ]
70
[ "81/9=9", "10+51=61", "9+61=70" ]
Current State: 70:[81, 9, 10, 51], Operations: [] Exploring Operation: 81/9=9, Resulting Numbers: [10, 51, 9] Generated Node #2: [10, 51, 9] from Operation: 81/9=9 Current State: 70:[10, 51, 9], Operations: ['81/9=9'] Exploring Operation: 10+51=61, Resulting Numbers: [9, 61] Generated Node #3: [9, 61] from Operation: 10+51=61 Current State: 70:[9, 61], Operations: ['81/9=9', '10+51=61'] Exploring Operation: 9+61=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 7, 70, 4, 9 ]
67
[ "7-4=3", "9/3=3", "70-3=67" ]
Current State: 67:[7, 70, 4, 9], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [70, 9, 3] Generated Node #2: [70, 9, 3] from Operation: 7-4=3 Current State: 67:[70, 9, 3], Operations: ['7-4=3'] Exploring Operation: 9/3=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 9/3=3 Current State: 67:[70, 3], Operations: ['7-4=3', '9/3=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 29, 9, 57, 24 ]
36
[ "29+9=38", "57*24=1368", "1368/38=36" ]
Current State: 36:[29, 9, 57, 24], Operations: [] Exploring Operation: 29+9=38, Resulting Numbers: [57, 24, 38] Generated Node #2: [57, 24, 38] from Operation: 29+9=38 Current State: 36:[57, 24, 38], Operations: ['29+9=38'] Exploring Operation: 57*24=1368, Resulting Numbers: [38, 1368] Generated Node #3: [38, 1368] from Operation: 57*24=1368 Current State: 36:[38, 1368], Operations: ['29+9=38', '57*24=1368'] Exploring Operation: 1368/38=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 74, 4, 99, 5 ]
34
[ "74-4=70", "99+5=104", "104-70=34" ]
Current State: 34:[74, 4, 99, 5], Operations: [] Exploring Operation: 74-4=70, Resulting Numbers: [99, 5, 70] Generated Node #2: [99, 5, 70] from Operation: 74-4=70 Current State: 34:[99, 5, 70], Operations: ['74-4=70'] Exploring Operation: 99+5=104, Resulting Numbers: [70, 104] Generated Node #3: [70, 104] from Operation: 99+5=104 Current State: 34:[70, 104], Operations: ['74-4=70', '99+5=104'] Exploring Operation: 104-70=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 88, 7, 30, 15 ]
74
[ "7*30=210", "210/15=14", "88-14=74" ]
Current State: 74:[88, 7, 30, 15], Operations: [] Exploring Operation: 7*30=210, Resulting Numbers: [88, 15, 210] Generated Node #2: [88, 15, 210] from Operation: 7*30=210 Current State: 74:[88, 15, 210], Operations: ['7*30=210'] Exploring Operation: 210/15=14, Resulting Numbers: [88, 14] Generated Node #3: [88, 14] from Operation: 210/15=14 Current State: 74:[88, 14], Operations: ['7*30=210', '210/15=14'] Exploring Operation: 88-14=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 60, 42, 66, 74 ]
38
[ "60+42=102", "66+74=140", "140-102=38" ]
Current State: 38:[60, 42, 66, 74], Operations: [] Exploring Operation: 60+42=102, Resulting Numbers: [66, 74, 102] Generated Node #2: [66, 74, 102] from Operation: 60+42=102 Current State: 38:[66, 74, 102], Operations: ['60+42=102'] Exploring Operation: 66+74=140, Resulting Numbers: [102, 140] Generated Node #3: [102, 140] from Operation: 66+74=140 Current State: 38:[102, 140], Operations: ['60+42=102', '66+74=140'] Exploring Operation: 140-102=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 14, 75, 59, 56 ]
58
[ "75-14=61", "59-56=3", "61-3=58" ]
Current State: 58:[14, 75, 59, 56], Operations: [] Exploring Operation: 75-14=61, Resulting Numbers: [59, 56, 61] Generated Node #2: [59, 56, 61] from Operation: 75-14=61 Current State: 58:[59, 56, 61], Operations: ['75-14=61'] Exploring Operation: 59-56=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 59-56=3 Current State: 58:[61, 3], Operations: ['75-14=61', '59-56=3'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 15, 24, 8, 11 ]
79
[ "24-15=9", "8*11=88", "88-9=79" ]
Current State: 79:[15, 24, 8, 11], Operations: [] Exploring Operation: 24-15=9, Resulting Numbers: [8, 11, 9] Generated Node #2: [8, 11, 9] from Operation: 24-15=9 Current State: 79:[8, 11, 9], Operations: ['24-15=9'] Exploring Operation: 8*11=88, Resulting Numbers: [9, 88] Generated Node #3: [9, 88] from Operation: 8*11=88 Current State: 79:[9, 88], Operations: ['24-15=9', '8*11=88'] Exploring Operation: 88-9=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 10, 25, 72, 33 ]
90
[ "25-10=15", "72+33=105", "105-15=90" ]
Current State: 90:[10, 25, 72, 33], Operations: [] Exploring Operation: 25-10=15, Resulting Numbers: [72, 33, 15] Generated Node #2: [72, 33, 15] from Operation: 25-10=15 Current State: 90:[72, 33, 15], Operations: ['25-10=15'] Exploring Operation: 72+33=105, Resulting Numbers: [15, 105] Generated Node #3: [15, 105] from Operation: 72+33=105 Current State: 90:[15, 105], Operations: ['25-10=15', '72+33=105'] Exploring Operation: 105-15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 50, 90, 98, 59 ]
72
[ "59-50=9", "98-90=8", "9*8=72" ]
Current State: 72:[50, 90, 98, 59], Operations: [] Exploring Operation: 59-50=9, Resulting Numbers: [90, 98, 9] Generated Node #2: [90, 98, 9] from Operation: 59-50=9 Current State: 72:[90, 98, 9], Operations: ['59-50=9'] Exploring Operation: 98-90=8, Resulting Numbers: [9, 8] Generated Node #3: [9, 8] from Operation: 98-90=8 Current State: 72:[9, 8], Operations: ['59-50=9', '98-90=8'] Exploring Operation: 9*8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 12, 6, 74, 4 ]
56
[ "12*6=72", "72/4=18", "74-18=56" ]
Current State: 56:[12, 6, 74, 4], Operations: [] Exploring Operation: 12*6=72, Resulting Numbers: [74, 4, 72] Generated Node #2: [74, 4, 72] from Operation: 12*6=72 Current State: 56:[74, 4, 72], Operations: ['12*6=72'] Exploring Operation: 72/4=18, Resulting Numbers: [74, 18] Generated Node #3: [74, 18] from Operation: 72/4=18 Current State: 56:[74, 18], Operations: ['12*6=72', '72/4=18'] Exploring Operation: 74-18=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 99, 79, 79, 23 ]
76
[ "99+79=178", "79+23=102", "178-102=76" ]
Current State: 76:[99, 79, 79, 23], Operations: [] Exploring Operation: 99+79=178, Resulting Numbers: [23, 178] Generated Node #2: [23, 178] from Operation: 99+79=178 Current State: 76:[23, 178], Operations: ['99+79=178'] Exploring Operation: 79+23=102, Resulting Numbers: [178, 102] Generated Node #3: [178, 102] from Operation: 79+23=102 Current State: 76:[178, 102], Operations: ['99+79=178', '79+23=102'] Exploring Operation: 178-102=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 48, 8, 28, 53 ]
41
[ "48-8=40", "28+53=81", "81-40=41" ]
Current State: 41:[48, 8, 28, 53], Operations: [] Exploring Operation: 48-8=40, Resulting Numbers: [28, 53, 40] Generated Node #2: [28, 53, 40] from Operation: 48-8=40 Current State: 41:[28, 53, 40], Operations: ['48-8=40'] Exploring Operation: 28+53=81, Resulting Numbers: [40, 81] Generated Node #3: [40, 81] from Operation: 28+53=81 Current State: 41:[40, 81], Operations: ['48-8=40', '28+53=81'] Exploring Operation: 81-40=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 48, 51, 93, 95 ]
89
[ "48+51=99", "93+95=188", "188-99=89" ]
Current State: 89:[48, 51, 93, 95], Operations: [] Exploring Operation: 48+51=99, Resulting Numbers: [93, 95, 99] Generated Node #2: [93, 95, 99] from Operation: 48+51=99 Current State: 89:[93, 95, 99], Operations: ['48+51=99'] Exploring Operation: 93+95=188, Resulting Numbers: [99, 188] Generated Node #3: [99, 188] from Operation: 93+95=188 Current State: 89:[99, 188], Operations: ['48+51=99', '93+95=188'] Exploring Operation: 188-99=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 83, 90, 50, 23 ]
75
[ "83-23=60", "90*50=4500", "4500/60=75" ]
Current State: 75:[83, 90, 50, 23], Operations: [] Exploring Operation: 83-23=60, Resulting Numbers: [90, 50, 60] Generated Node #2: [90, 50, 60] from Operation: 83-23=60 Current State: 75:[90, 50, 60], Operations: ['83-23=60'] Exploring Operation: 90*50=4500, Resulting Numbers: [60, 4500] Generated Node #3: [60, 4500] from Operation: 90*50=4500 Current State: 75:[60, 4500], Operations: ['83-23=60', '90*50=4500'] Exploring Operation: 4500/60=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 34, 23, 97, 38 ]
70
[ "34-23=11", "97-38=59", "11+59=70" ]
Current State: 70:[34, 23, 97, 38], Operations: [] Exploring Operation: 34-23=11, Resulting Numbers: [97, 38, 11] Generated Node #2: [97, 38, 11] from Operation: 34-23=11 Current State: 70:[97, 38, 11], Operations: ['34-23=11'] Exploring Operation: 97-38=59, Resulting Numbers: [11, 59] Generated Node #3: [11, 59] from Operation: 97-38=59 Current State: 70:[11, 59], Operations: ['34-23=11', '97-38=59'] Exploring Operation: 11+59=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 29, 90, 27, 44 ]
92
[ "29-27=2", "90-44=46", "2*46=92" ]
Current State: 92:[29, 90, 27, 44], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [90, 44, 2] Generated Node #2: [90, 44, 2] from Operation: 29-27=2 Current State: 92:[90, 44, 2], Operations: ['29-27=2'] Exploring Operation: 90-44=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 90-44=46 Current State: 92:[2, 46], Operations: ['29-27=2', '90-44=46'] Exploring Operation: 2*46=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 51, 54, 5, 32 ]
91
[ "54-51=3", "32*3=96", "96-5=91" ]
Current State: 91:[51, 54, 5, 32], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [5, 32, 3] Generated Node #2: [5, 32, 3] from Operation: 54-51=3 Current State: 91:[5, 32, 3], Operations: ['54-51=3'] Exploring Operation: 32*3=96, Resulting Numbers: [5, 96] Generated Node #3: [5, 96] from Operation: 32*3=96 Current State: 91:[5, 96], Operations: ['54-51=3', '32*3=96'] Exploring Operation: 96-5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 47, 52, 54, 37 ]
86
[ "52-47=5", "54+37=91", "91-5=86" ]
Current State: 86:[47, 52, 54, 37], Operations: [] Exploring Operation: 52-47=5, Resulting Numbers: [54, 37, 5] Generated Node #2: [54, 37, 5] from Operation: 52-47=5 Current State: 86:[54, 37, 5], Operations: ['52-47=5'] Exploring Operation: 54+37=91, Resulting Numbers: [5, 91] Generated Node #3: [5, 91] from Operation: 54+37=91 Current State: 86:[5, 91], Operations: ['52-47=5', '54+37=91'] Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 20, 75, 88, 58 ]
51
[ "20+75=95", "88+58=146", "146-95=51" ]
Current State: 51:[20, 75, 88, 58], Operations: [] Exploring Operation: 20+75=95, Resulting Numbers: [88, 58, 95] Generated Node #2: [88, 58, 95] from Operation: 20+75=95 Current State: 51:[88, 58, 95], Operations: ['20+75=95'] Exploring Operation: 88+58=146, Resulting Numbers: [95, 146] Generated Node #3: [95, 146] from Operation: 88+58=146 Current State: 51:[95, 146], Operations: ['20+75=95', '88+58=146'] Exploring Operation: 146-95=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 78, 92, 4, 47 ]
65
[ "92-78=14", "4+47=51", "14+51=65" ]
Current State: 65:[78, 92, 4, 47], Operations: [] Exploring Operation: 92-78=14, Resulting Numbers: [4, 47, 14] Generated Node #2: [4, 47, 14] from Operation: 92-78=14 Current State: 65:[4, 47, 14], Operations: ['92-78=14'] Exploring Operation: 4+47=51, Resulting Numbers: [14, 51] Generated Node #3: [14, 51] from Operation: 4+47=51 Current State: 65:[14, 51], Operations: ['92-78=14', '4+47=51'] Exploring Operation: 14+51=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 78, 5, 58, 45 ]
70
[ "78+5=83", "58-45=13", "83-13=70" ]
Current State: 70:[78, 5, 58, 45], Operations: [] Exploring Operation: 78+5=83, Resulting Numbers: [58, 45, 83] Generated Node #2: [58, 45, 83] from Operation: 78+5=83 Current State: 70:[58, 45, 83], Operations: ['78+5=83'] Exploring Operation: 58-45=13, Resulting Numbers: [83, 13] Generated Node #3: [83, 13] from Operation: 58-45=13 Current State: 70:[83, 13], Operations: ['78+5=83', '58-45=13'] Exploring Operation: 83-13=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 8, 75, 29, 10 ]
64
[ "8+75=83", "29-10=19", "83-19=64" ]
Current State: 64:[8, 75, 29, 10], Operations: [] Exploring Operation: 8+75=83, Resulting Numbers: [29, 10, 83] Generated Node #2: [29, 10, 83] from Operation: 8+75=83 Current State: 64:[29, 10, 83], Operations: ['8+75=83'] Exploring Operation: 29-10=19, Resulting Numbers: [83, 19] Generated Node #3: [83, 19] from Operation: 29-10=19 Current State: 64:[83, 19], Operations: ['8+75=83', '29-10=19'] Exploring Operation: 83-19=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 50, 39, 2, 18 ]
47
[ "50-39=11", "2*18=36", "11+36=47" ]
Current State: 47:[50, 39, 2, 18], Operations: [] Exploring Operation: 50-39=11, Resulting Numbers: [2, 18, 11] Generated Node #2: [2, 18, 11] from Operation: 50-39=11 Current State: 47:[2, 18, 11], Operations: ['50-39=11'] Exploring Operation: 2*18=36, Resulting Numbers: [11, 36] Generated Node #3: [11, 36] from Operation: 2*18=36 Current State: 47:[11, 36], Operations: ['50-39=11', '2*18=36'] Exploring Operation: 11+36=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 71, 91, 27, 49 ]
86
[ "71+91=162", "27+49=76", "162-76=86" ]
Current State: 86:[71, 91, 27, 49], Operations: [] Exploring Operation: 71+91=162, Resulting Numbers: [27, 49, 162] Generated Node #2: [27, 49, 162] from Operation: 71+91=162 Current State: 86:[27, 49, 162], Operations: ['71+91=162'] Exploring Operation: 27+49=76, Resulting Numbers: [162, 76] Generated Node #3: [162, 76] from Operation: 27+49=76 Current State: 86:[162, 76], Operations: ['71+91=162', '27+49=76'] Exploring Operation: 162-76=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 33, 19, 17, 18 ]
24
[ "19-17=2", "18/2=9", "33-9=24" ]
Current State: 24:[33, 19, 17, 18], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [33, 18, 2] Generated Node #2: [33, 18, 2] from Operation: 19-17=2 Current State: 24:[33, 18, 2], Operations: ['19-17=2'] Exploring Operation: 18/2=9, Resulting Numbers: [33, 9] Generated Node #3: [33, 9] from Operation: 18/2=9 Current State: 24:[33, 9], Operations: ['19-17=2', '18/2=9'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 77, 25, 75, 2 ]
26
[ "77-75=2", "2/2=1", "25+1=26" ]
Current State: 26:[77, 25, 75, 2], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [25, 2, 2] Generated Node #2: [25, 2, 2] from Operation: 77-75=2 Current State: 26:[25, 2, 2], Operations: ['77-75=2'] Exploring Operation: 2/2=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 2/2=1 Current State: 26:[25, 1], Operations: ['77-75=2', '2/2=1'] Exploring Operation: 25+1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 90, 30, 22, 86 ]
12
[ "90+30=120", "22+86=108", "120-108=12" ]
Current State: 12:[90, 30, 22, 86], Operations: [] Exploring Operation: 90+30=120, Resulting Numbers: [22, 86, 120] Generated Node #2: [22, 86, 120] from Operation: 90+30=120 Current State: 12:[22, 86, 120], Operations: ['90+30=120'] Exploring Operation: 22+86=108, Resulting Numbers: [120, 108] Generated Node #3: [120, 108] from Operation: 22+86=108 Current State: 12:[120, 108], Operations: ['90+30=120', '22+86=108'] Exploring Operation: 120-108=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 28, 98, 13, 33 ]
90
[ "98-28=70", "33-13=20", "70+20=90" ]
Current State: 90:[28, 98, 13, 33], Operations: [] Exploring Operation: 98-28=70, Resulting Numbers: [13, 33, 70] Generated Node #2: [13, 33, 70] from Operation: 98-28=70 Current State: 90:[13, 33, 70], Operations: ['98-28=70'] Exploring Operation: 33-13=20, Resulting Numbers: [70, 20] Generated Node #3: [70, 20] from Operation: 33-13=20 Current State: 90:[70, 20], Operations: ['98-28=70', '33-13=20'] Exploring Operation: 70+20=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 1, 34, 76, 67 ]
78
[ "1+67=68", "68/34=2", "76+2=78" ]
Current State: 78:[1, 34, 76, 67], Operations: [] Exploring Operation: 1+67=68, Resulting Numbers: [34, 76, 68] Generated Node #2: [34, 76, 68] from Operation: 1+67=68 Current State: 78:[34, 76, 68], Operations: ['1+67=68'] Exploring Operation: 68/34=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 68/34=2 Current State: 78:[76, 2], Operations: ['1+67=68', '68/34=2'] Exploring Operation: 76+2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 7, 60, 28, 11 ]
84
[ "7+60=67", "28-11=17", "67+17=84" ]
Current State: 84:[7, 60, 28, 11], Operations: [] Exploring Operation: 7+60=67, Resulting Numbers: [28, 11, 67] Generated Node #2: [28, 11, 67] from Operation: 7+60=67 Current State: 84:[28, 11, 67], Operations: ['7+60=67'] Exploring Operation: 28-11=17, Resulting Numbers: [67, 17] Generated Node #3: [67, 17] from Operation: 28-11=17 Current State: 84:[67, 17], Operations: ['7+60=67', '28-11=17'] Exploring Operation: 67+17=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 6, 90, 61, 56 ]
20
[ "90/6=15", "61-56=5", "15+5=20" ]
Current State: 20:[6, 90, 61, 56], Operations: [] Exploring Operation: 90/6=15, Resulting Numbers: [61, 56, 15] Generated Node #2: [61, 56, 15] from Operation: 90/6=15 Current State: 20:[61, 56, 15], Operations: ['90/6=15'] Exploring Operation: 61-56=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 61-56=5 Current State: 20:[15, 5], Operations: ['90/6=15', '61-56=5'] Exploring Operation: 15+5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 42, 31, 46, 31 ]
93
[ "46-42=4", "31*4=124", "124-31=93" ]
Current State: 93:[42, 31, 46, 31], Operations: [] Exploring Operation: 46-42=4, Resulting Numbers: [31, 31, 4] Generated Node #2: [31, 31, 4] from Operation: 46-42=4 Current State: 93:[31, 31, 4], Operations: ['46-42=4'] Exploring Operation: 31*4=124, Resulting Numbers: [124] 124,93 equal: Goal Reached Exploring Operation: 124-31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 59, 84, 66, 78 ]
36
[ "59+84=143", "66*78=5148", "5148/143=36" ]
Current State: 36:[59, 84, 66, 78], Operations: [] Exploring Operation: 59+84=143, Resulting Numbers: [66, 78, 143] Generated Node #2: [66, 78, 143] from Operation: 59+84=143 Current State: 36:[66, 78, 143], Operations: ['59+84=143'] Exploring Operation: 66*78=5148, Resulting Numbers: [143, 5148] Generated Node #3: [143, 5148] from Operation: 66*78=5148 Current State: 36:[143, 5148], Operations: ['59+84=143', '66*78=5148'] Exploring Operation: 5148/143=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 23, 77, 67, 65 ]
50
[ "23+77=100", "67-65=2", "100/2=50" ]
Current State: 50:[23, 77, 67, 65], Operations: [] Exploring Operation: 23+77=100, Resulting Numbers: [67, 65, 100] Generated Node #2: [67, 65, 100] from Operation: 23+77=100 Current State: 50:[67, 65, 100], Operations: ['23+77=100'] Exploring Operation: 67-65=2, Resulting Numbers: [100, 2] Generated Node #3: [100, 2] from Operation: 67-65=2 Current State: 50:[100, 2], Operations: ['23+77=100', '67-65=2'] Exploring Operation: 100/2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 27, 64, 98, 74 ]
96
[ "64-27=37", "74/37=2", "98-2=96" ]
Current State: 96:[27, 64, 98, 74], Operations: [] Exploring Operation: 64-27=37, Resulting Numbers: [98, 74, 37] Generated Node #2: [98, 74, 37] from Operation: 64-27=37 Current State: 96:[98, 74, 37], Operations: ['64-27=37'] Exploring Operation: 74/37=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 74/37=2 Current State: 96:[98, 2], Operations: ['64-27=37', '74/37=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 47, 64, 17, 55 ]
56
[ "64-47=17", "17/17=1", "55+1=56" ]
Current State: 56:[47, 64, 17, 55], Operations: [] Exploring Operation: 64-47=17, Resulting Numbers: [17, 55, 17] Generated Node #2: [17, 55, 17] from Operation: 64-47=17 Current State: 56:[17, 55, 17], Operations: ['64-47=17'] Exploring Operation: 17/17=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 17/17=1 Current State: 56:[55, 1], Operations: ['64-47=17', '17/17=1'] Exploring Operation: 55+1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 36, 18, 48, 23 ]
23
[ "36/18=2", "48-23=25", "25-2=23" ]
Current State: 23:[36, 18, 48, 23], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [48, 23, 2] Generated Node #2: [48, 23, 2] from Operation: 36/18=2 Current State: 23:[48, 23, 2], Operations: ['36/18=2'] Exploring Operation: 48-23=25, Resulting Numbers: [2, 25] Generated Node #3: [2, 25] from Operation: 48-23=25 Current State: 23:[2, 25], Operations: ['36/18=2', '48-23=25'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 93, 46, 94, 17 ]
19
[ "93-46=47", "94/47=2", "17+2=19" ]
Current State: 19:[93, 46, 94, 17], Operations: [] Exploring Operation: 93-46=47, Resulting Numbers: [94, 17, 47] Generated Node #2: [94, 17, 47] from Operation: 93-46=47 Current State: 19:[94, 17, 47], Operations: ['93-46=47'] Exploring Operation: 94/47=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 94/47=2 Current State: 19:[17, 2], Operations: ['93-46=47', '94/47=2'] Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 74, 36, 54, 65 ]
99
[ "74+36=110", "65-54=11", "110-11=99" ]
Current State: 99:[74, 36, 54, 65], Operations: [] Exploring Operation: 74+36=110, Resulting Numbers: [54, 65, 110] Generated Node #2: [54, 65, 110] from Operation: 74+36=110 Current State: 99:[54, 65, 110], Operations: ['74+36=110'] Exploring Operation: 65-54=11, Resulting Numbers: [110, 11] Generated Node #3: [110, 11] from Operation: 65-54=11 Current State: 99:[110, 11], Operations: ['74+36=110', '65-54=11'] Exploring Operation: 110-11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 75, 56, 63, 4 ]
64
[ "75+56=131", "63+4=67", "131-67=64" ]
Current State: 64:[75, 56, 63, 4], Operations: [] Exploring Operation: 75+56=131, Resulting Numbers: [63, 4, 131] Generated Node #2: [63, 4, 131] from Operation: 75+56=131 Current State: 64:[63, 4, 131], Operations: ['75+56=131'] Exploring Operation: 63+4=67, Resulting Numbers: [131, 67] Generated Node #3: [131, 67] from Operation: 63+4=67 Current State: 64:[131, 67], Operations: ['75+56=131', '63+4=67'] Exploring Operation: 131-67=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 89, 41, 22, 77 ]
31
[ "89+41=130", "22+77=99", "130-99=31" ]
Current State: 31:[89, 41, 22, 77], Operations: [] Exploring Operation: 89+41=130, Resulting Numbers: [22, 77, 130] Generated Node #2: [22, 77, 130] from Operation: 89+41=130 Current State: 31:[22, 77, 130], Operations: ['89+41=130'] Exploring Operation: 22+77=99, Resulting Numbers: [130, 99] Generated Node #3: [130, 99] from Operation: 22+77=99 Current State: 31:[130, 99], Operations: ['89+41=130', '22+77=99'] Exploring Operation: 130-99=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 56, 8, 88, 43 ]
19
[ "56+8=64", "88-43=45", "64-45=19" ]
Current State: 19:[56, 8, 88, 43], Operations: [] Exploring Operation: 56+8=64, Resulting Numbers: [88, 43, 64] Generated Node #2: [88, 43, 64] from Operation: 56+8=64 Current State: 19:[88, 43, 64], Operations: ['56+8=64'] Exploring Operation: 88-43=45, Resulting Numbers: [64, 45] Generated Node #3: [64, 45] from Operation: 88-43=45 Current State: 19:[64, 45], Operations: ['56+8=64', '88-43=45'] Exploring Operation: 64-45=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 66, 70, 65, 48 ]
62
[ "70-48=22", "66/22=3", "65-3=62" ]
Current State: 62:[66, 70, 65, 48], Operations: [] Exploring Operation: 70-48=22, Resulting Numbers: [66, 65, 22] Generated Node #2: [66, 65, 22] from Operation: 70-48=22 Current State: 62:[66, 65, 22], Operations: ['70-48=22'] Exploring Operation: 66/22=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 66/22=3 Current State: 62:[65, 3], Operations: ['70-48=22', '66/22=3'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 36, 55, 76, 32 ]
74
[ "36-32=4", "76/4=19", "55+19=74" ]
Current State: 74:[36, 55, 76, 32], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [55, 76, 4] Generated Node #2: [55, 76, 4] from Operation: 36-32=4 Current State: 74:[55, 76, 4], Operations: ['36-32=4'] Exploring Operation: 76/4=19, Resulting Numbers: [55, 19] Generated Node #3: [55, 19] from Operation: 76/4=19 Current State: 74:[55, 19], Operations: ['36-32=4', '76/4=19'] Exploring Operation: 55+19=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 32, 54, 6, 28 ]
44
[ "54-32=22", "28-6=22", "22+22=44" ]
Current State: 44:[32, 54, 6, 28], Operations: [] Exploring Operation: 54-32=22, Resulting Numbers: [6, 28, 22] Generated Node #2: [6, 28, 22] from Operation: 54-32=22 Current State: 44:[6, 28, 22], Operations: ['54-32=22'] Exploring Operation: 28-6=22, Resulting Numbers: [22, 22] Generated Node #3: [22, 22] from Operation: 28-6=22 Current State: 44:[22, 22], Operations: ['54-32=22', '28-6=22'] Exploring Operation: 22+22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 8, 53, 38, 7 ]
49
[ "53-8=45", "45-38=7", "7*7=49" ]
Current State: 49:[8, 53, 38, 7], Operations: [] Exploring Operation: 53-8=45, Resulting Numbers: [38, 7, 45] Generated Node #2: [38, 7, 45] from Operation: 53-8=45 Current State: 49:[38, 7, 45], Operations: ['53-8=45'] Exploring Operation: 45-38=7, Resulting Numbers: [7, 7] Generated Node #3: [7, 7] from Operation: 45-38=7 Current State: 49:[7, 7], Operations: ['53-8=45', '45-38=7'] Exploring Operation: 7*7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 83, 80, 51, 74 ]
91
[ "83-80=3", "51/3=17", "74+17=91" ]
Current State: 91:[83, 80, 51, 74], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [51, 74, 3] Generated Node #2: [51, 74, 3] from Operation: 83-80=3 Current State: 91:[51, 74, 3], Operations: ['83-80=3'] Exploring Operation: 51/3=17, Resulting Numbers: [74, 17] Generated Node #3: [74, 17] from Operation: 51/3=17 Current State: 91:[74, 17], Operations: ['83-80=3', '51/3=17'] Exploring Operation: 74+17=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 72, 35, 15, 17 ]
35
[ "72-35=37", "17-15=2", "37-2=35" ]
Current State: 35:[72, 35, 15, 17], Operations: [] Exploring Operation: 72-35=37, Resulting Numbers: [15, 17, 37] Generated Node #2: [15, 17, 37] from Operation: 72-35=37 Current State: 35:[15, 17, 37], Operations: ['72-35=37'] Exploring Operation: 17-15=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 17-15=2 Current State: 35:[37, 2], Operations: ['72-35=37', '17-15=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 39, 14, 13, 84 ]
59
[ "39+84=123", "14*13=182", "182-123=59" ]
Current State: 59:[39, 14, 13, 84], Operations: [] Exploring Operation: 39+84=123, Resulting Numbers: [14, 13, 123] Generated Node #2: [14, 13, 123] from Operation: 39+84=123 Current State: 59:[14, 13, 123], Operations: ['39+84=123'] Exploring Operation: 14*13=182, Resulting Numbers: [123, 182] Generated Node #3: [123, 182] from Operation: 14*13=182 Current State: 59:[123, 182], Operations: ['39+84=123', '14*13=182'] Exploring Operation: 182-123=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 40, 34, 73, 51 ]
52
[ "40+34=74", "73-51=22", "74-22=52" ]
Current State: 52:[40, 34, 73, 51], Operations: [] Exploring Operation: 40+34=74, Resulting Numbers: [73, 51, 74] Generated Node #2: [73, 51, 74] from Operation: 40+34=74 Current State: 52:[73, 51, 74], Operations: ['40+34=74'] Exploring Operation: 73-51=22, Resulting Numbers: [74, 22] Generated Node #3: [74, 22] from Operation: 73-51=22 Current State: 52:[74, 22], Operations: ['40+34=74', '73-51=22'] Exploring Operation: 74-22=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 14, 89, 11, 6 ]
98
[ "14+89=103", "11-6=5", "103-5=98" ]
Current State: 98:[14, 89, 11, 6], Operations: [] Exploring Operation: 14+89=103, Resulting Numbers: [11, 6, 103] Generated Node #2: [11, 6, 103] from Operation: 14+89=103 Current State: 98:[11, 6, 103], Operations: ['14+89=103'] Exploring Operation: 11-6=5, Resulting Numbers: [103, 5] Generated Node #3: [103, 5] from Operation: 11-6=5 Current State: 98:[103, 5], Operations: ['14+89=103', '11-6=5'] Exploring Operation: 103-5=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 55, 94, 64, 18 ]
67
[ "55+94=149", "64+18=82", "149-82=67" ]
Current State: 67:[55, 94, 64, 18], Operations: [] Exploring Operation: 55+94=149, Resulting Numbers: [64, 18, 149] Generated Node #2: [64, 18, 149] from Operation: 55+94=149 Current State: 67:[64, 18, 149], Operations: ['55+94=149'] Exploring Operation: 64+18=82, Resulting Numbers: [149, 82] Generated Node #3: [149, 82] from Operation: 64+18=82 Current State: 67:[149, 82], Operations: ['55+94=149', '64+18=82'] Exploring Operation: 149-82=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 51, 38, 78, 30 ]
61
[ "51-38=13", "78-30=48", "13+48=61" ]
Current State: 61:[51, 38, 78, 30], Operations: [] Exploring Operation: 51-38=13, Resulting Numbers: [78, 30, 13] Generated Node #2: [78, 30, 13] from Operation: 51-38=13 Current State: 61:[78, 30, 13], Operations: ['51-38=13'] Exploring Operation: 78-30=48, Resulting Numbers: [13, 48] Generated Node #3: [13, 48] from Operation: 78-30=48 Current State: 61:[13, 48], Operations: ['51-38=13', '78-30=48'] Exploring Operation: 13+48=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 11, 99, 36, 57 ]
89
[ "11+99=110", "57-36=21", "110-21=89" ]
Current State: 89:[11, 99, 36, 57], Operations: [] Exploring Operation: 11+99=110, Resulting Numbers: [36, 57, 110] Generated Node #2: [36, 57, 110] from Operation: 11+99=110 Current State: 89:[36, 57, 110], Operations: ['11+99=110'] Exploring Operation: 57-36=21, Resulting Numbers: [110, 21] Generated Node #3: [110, 21] from Operation: 57-36=21 Current State: 89:[110, 21], Operations: ['11+99=110', '57-36=21'] Exploring Operation: 110-21=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 31, 35, 35, 17 ]
22
[ "35-31=4", "35-17=18", "4+18=22" ]
Current State: 22:[31, 35, 35, 17], Operations: [] Exploring Operation: 35-31=4, Resulting Numbers: [17, 4] Generated Node #2: [17, 4] from Operation: 35-31=4 Current State: 22:[17, 4], Operations: ['35-31=4'] Exploring Operation: 35-17=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 35-17=18 Current State: 22:[4, 18], Operations: ['35-31=4', '35-17=18'] Exploring Operation: 4+18=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 2, 79, 29, 79 ]
57
[ "2*29=58", "79/79=1", "58-1=57" ]
Current State: 57:[2, 79, 29, 79], Operations: [] Exploring Operation: 2*29=58, Resulting Numbers: [79, 79, 58] Generated Node #2: [79, 79, 58] from Operation: 2*29=58 Current State: 57:[79, 79, 58], Operations: ['2*29=58'] Exploring Operation: 79/79=1, Resulting Numbers: [58, 1] Generated Node #3: [58, 1] from Operation: 79/79=1 Current State: 57:[58, 1], Operations: ['2*29=58', '79/79=1'] Exploring Operation: 58-1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 86, 65, 39, 3 ]
54
[ "86-65=21", "39-21=18", "3*18=54" ]
Current State: 54:[86, 65, 39, 3], Operations: [] Exploring Operation: 86-65=21, Resulting Numbers: [39, 3, 21] Generated Node #2: [39, 3, 21] from Operation: 86-65=21 Current State: 54:[39, 3, 21], Operations: ['86-65=21'] Exploring Operation: 39-21=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 39-21=18 Current State: 54:[3, 18], Operations: ['86-65=21', '39-21=18'] Exploring Operation: 3*18=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 69, 76, 42, 75 ]
40
[ "76-69=7", "75-42=33", "7+33=40" ]
Current State: 40:[69, 76, 42, 75], Operations: [] Exploring Operation: 76-69=7, Resulting Numbers: [42, 75, 7] Generated Node #2: [42, 75, 7] from Operation: 76-69=7 Current State: 40:[42, 75, 7], Operations: ['76-69=7'] Exploring Operation: 75-42=33, Resulting Numbers: [7, 33] Generated Node #3: [7, 33] from Operation: 75-42=33 Current State: 40:[7, 33], Operations: ['76-69=7', '75-42=33'] Exploring Operation: 7+33=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 15, 57, 63, 2 ]
45
[ "57+63=120", "120/2=60", "60-15=45" ]
Current State: 45:[15, 57, 63, 2], Operations: [] Exploring Operation: 57+63=120, Resulting Numbers: [15, 2, 120] Generated Node #2: [15, 2, 120] from Operation: 57+63=120 Current State: 45:[15, 2, 120], Operations: ['57+63=120'] Exploring Operation: 120/2=60, Resulting Numbers: [15, 60] Generated Node #3: [15, 60] from Operation: 120/2=60 Current State: 45:[15, 60], Operations: ['57+63=120', '120/2=60'] Exploring Operation: 60-15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4