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
[ 48, 11, 54, 1 ]
18
[ "48-11=37", "54+1=55", "55-37=18" ]
Current State: 18:[48, 11, 54, 1], Operations: [] Exploring Operation: 48-11=37, Resulting Numbers: [54, 1, 37] Generated Node #2: [54, 1, 37] from Operation: 48-11=37 Current State: 18:[54, 1, 37], Operations: ['48-11=37'] Exploring Operation: 54+1=55, Resulting Numbers: [37, 55] Generated Node #3: [37, 55] from Operation: 54+1=55 Current State: 18:[37, 55], Operations: ['48-11=37', '54+1=55'] Exploring Operation: 55-37=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 24, 53, 11, 20 ]
13
[ "24+53=77", "77/11=7", "20-7=13" ]
Current State: 13:[24, 53, 11, 20], Operations: [] Exploring Operation: 24+53=77, Resulting Numbers: [11, 20, 77] Generated Node #2: [11, 20, 77] from Operation: 24+53=77 Current State: 13:[11, 20, 77], Operations: ['24+53=77'] Exploring Operation: 77/11=7, Resulting Numbers: [20, 7] Generated Node #3: [20, 7] from Operation: 77/11=7 Current State: 13:[20, 7], Operations: ['24+53=77', '77/11=7'] Exploring Operation: 20-7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 36, 54, 11, 46 ]
33
[ "36+54=90", "11+46=57", "90-57=33" ]
Current State: 33:[36, 54, 11, 46], Operations: [] Exploring Operation: 36+54=90, Resulting Numbers: [11, 46, 90] Generated Node #2: [11, 46, 90] from Operation: 36+54=90 Current State: 33:[11, 46, 90], Operations: ['36+54=90'] Exploring Operation: 11+46=57, Resulting Numbers: [90, 57] Generated Node #3: [90, 57] from Operation: 11+46=57 Current State: 33:[90, 57], Operations: ['36+54=90', '11+46=57'] Exploring Operation: 90-57=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 28, 44, 22, 12 ]
26
[ "44-28=16", "22-12=10", "16+10=26" ]
Current State: 26:[28, 44, 22, 12], Operations: [] Exploring Operation: 44-28=16, Resulting Numbers: [22, 12, 16] Generated Node #2: [22, 12, 16] from Operation: 44-28=16 Current State: 26:[22, 12, 16], Operations: ['44-28=16'] Exploring Operation: 22-12=10, Resulting Numbers: [16, 10] Generated Node #3: [16, 10] from Operation: 22-12=10 Current State: 26:[16, 10], Operations: ['44-28=16', '22-12=10'] Exploring Operation: 16+10=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 51, 63, 88, 80 ]
91
[ "80-63=17", "51/17=3", "88+3=91" ]
Current State: 91:[51, 63, 88, 80], Operations: [] Exploring Operation: 80-63=17, Resulting Numbers: [51, 88, 17] Generated Node #2: [51, 88, 17] from Operation: 80-63=17 Current State: 91:[51, 88, 17], Operations: ['80-63=17'] Exploring Operation: 51/17=3, Resulting Numbers: [88, 3] Generated Node #3: [88, 3] from Operation: 51/17=3 Current State: 91:[88, 3], Operations: ['80-63=17', '51/17=3'] Exploring Operation: 88+3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 32, 64, 28, 59 ]
89
[ "64/32=2", "28+59=87", "2+87=89" ]
Current State: 89:[32, 64, 28, 59], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [28, 59, 2] Generated Node #2: [28, 59, 2] from Operation: 64/32=2 Current State: 89:[28, 59, 2], Operations: ['64/32=2'] Exploring Operation: 28+59=87, Resulting Numbers: [2, 87] Generated Node #3: [2, 87] from Operation: 28+59=87 Current State: 89:[2, 87], Operations: ['64/32=2', '28+59=87'] Exploring Operation: 2+87=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 30, 68, 75, 12 ]
35
[ "30+68=98", "75-12=63", "98-63=35" ]
Current State: 35:[30, 68, 75, 12], Operations: [] Exploring Operation: 30+68=98, Resulting Numbers: [75, 12, 98] Generated Node #2: [75, 12, 98] from Operation: 30+68=98 Current State: 35:[75, 12, 98], Operations: ['30+68=98'] Exploring Operation: 75-12=63, Resulting Numbers: [98, 63] Generated Node #3: [98, 63] from Operation: 75-12=63 Current State: 35:[98, 63], Operations: ['30+68=98', '75-12=63'] Exploring Operation: 98-63=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 71, 7, 20, 4 ]
94
[ "71+7=78", "20-4=16", "78+16=94" ]
Current State: 94:[71, 7, 20, 4], Operations: [] Exploring Operation: 71+7=78, Resulting Numbers: [20, 4, 78] Generated Node #2: [20, 4, 78] from Operation: 71+7=78 Current State: 94:[20, 4, 78], Operations: ['71+7=78'] Exploring Operation: 20-4=16, Resulting Numbers: [78, 16] Generated Node #3: [78, 16] from Operation: 20-4=16 Current State: 94:[78, 16], Operations: ['71+7=78', '20-4=16'] Exploring Operation: 78+16=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 48, 61, 52, 87 ]
83
[ "61-48=13", "52/13=4", "87-4=83" ]
Current State: 83:[48, 61, 52, 87], Operations: [] Exploring Operation: 61-48=13, Resulting Numbers: [52, 87, 13] Generated Node #2: [52, 87, 13] from Operation: 61-48=13 Current State: 83:[52, 87, 13], Operations: ['61-48=13'] Exploring Operation: 52/13=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 52/13=4 Current State: 83:[87, 4], Operations: ['61-48=13', '52/13=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 54, 78, 87, 36 ]
35
[ "78*36=2808", "2808/54=52", "87-52=35" ]
Current State: 35:[54, 78, 87, 36], Operations: [] Exploring Operation: 78*36=2808, Resulting Numbers: [54, 87, 2808] Generated Node #2: [54, 87, 2808] from Operation: 78*36=2808 Current State: 35:[54, 87, 2808], Operations: ['78*36=2808'] Exploring Operation: 2808/54=52, Resulting Numbers: [87, 52] Generated Node #3: [87, 52] from Operation: 2808/54=52 Current State: 35:[87, 52], Operations: ['78*36=2808', '2808/54=52'] Exploring Operation: 87-52=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 93, 23, 16, 56 ]
20
[ "93-23=70", "16*70=1120", "1120/56=20" ]
Current State: 20:[93, 23, 16, 56], Operations: [] Exploring Operation: 93-23=70, Resulting Numbers: [16, 56, 70] Generated Node #2: [16, 56, 70] from Operation: 93-23=70 Current State: 20:[16, 56, 70], Operations: ['93-23=70'] Exploring Operation: 16*70=1120, Resulting Numbers: [56, 1120] Generated Node #3: [56, 1120] from Operation: 16*70=1120 Current State: 20:[56, 1120], Operations: ['93-23=70', '16*70=1120'] Exploring Operation: 1120/56=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 77, 71, 97, 10 ]
93
[ "77-71=6", "97-10=87", "6+87=93" ]
Current State: 93:[77, 71, 97, 10], Operations: [] Exploring Operation: 77-71=6, Resulting Numbers: [97, 10, 6] Generated Node #2: [97, 10, 6] from Operation: 77-71=6 Current State: 93:[97, 10, 6], Operations: ['77-71=6'] Exploring Operation: 97-10=87, Resulting Numbers: [6, 87] Generated Node #3: [6, 87] from Operation: 97-10=87 Current State: 93:[6, 87], Operations: ['77-71=6', '97-10=87'] Exploring Operation: 6+87=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 28, 2, 42, 11 ]
78
[ "42+11=53", "2*53=106", "106-28=78" ]
Current State: 78:[28, 2, 42, 11], Operations: [] Exploring Operation: 42+11=53, Resulting Numbers: [28, 2, 53] Generated Node #2: [28, 2, 53] from Operation: 42+11=53 Current State: 78:[28, 2, 53], Operations: ['42+11=53'] Exploring Operation: 2*53=106, Resulting Numbers: [28, 106] Generated Node #3: [28, 106] from Operation: 2*53=106 Current State: 78:[28, 106], Operations: ['42+11=53', '2*53=106'] Exploring Operation: 106-28=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 18, 77, 80, 99 ]
27
[ "99-18=81", "80-77=3", "81/3=27" ]
Current State: 27:[18, 77, 80, 99], Operations: [] Exploring Operation: 99-18=81, Resulting Numbers: [77, 80, 81] Generated Node #2: [77, 80, 81] from Operation: 99-18=81 Current State: 27:[77, 80, 81], Operations: ['99-18=81'] Exploring Operation: 80-77=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 80-77=3 Current State: 27:[81, 3], Operations: ['99-18=81', '80-77=3'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 62, 81, 46 ]
49
[ "62-46=16", "2*16=32", "81-32=49" ]
Current State: 49:[2, 62, 81, 46], Operations: [] Exploring Operation: 62-46=16, Resulting Numbers: [2, 81, 16] Generated Node #2: [2, 81, 16] from Operation: 62-46=16 Current State: 49:[2, 81, 16], Operations: ['62-46=16'] Exploring Operation: 2*16=32, Resulting Numbers: [81, 32] Generated Node #3: [81, 32] from Operation: 2*16=32 Current State: 49:[81, 32], Operations: ['62-46=16', '2*16=32'] Exploring Operation: 81-32=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 68, 32, 34, 96 ]
62
[ "68/34=2", "96-32=64", "64-2=62" ]
Current State: 62:[68, 32, 34, 96], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [32, 96, 2] Generated Node #2: [32, 96, 2] from Operation: 68/34=2 Current State: 62:[32, 96, 2], Operations: ['68/34=2'] Exploring Operation: 96-32=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 96-32=64 Current State: 62:[2, 64], Operations: ['68/34=2', '96-32=64'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 53, 21, 73, 19 ]
63
[ "53+73=126", "21-19=2", "126/2=63" ]
Current State: 63:[53, 21, 73, 19], Operations: [] Exploring Operation: 53+73=126, Resulting Numbers: [21, 19, 126] Generated Node #2: [21, 19, 126] from Operation: 53+73=126 Current State: 63:[21, 19, 126], Operations: ['53+73=126'] Exploring Operation: 21-19=2, Resulting Numbers: [126, 2] Generated Node #3: [126, 2] from Operation: 21-19=2 Current State: 63:[126, 2], Operations: ['53+73=126', '21-19=2'] Exploring Operation: 126/2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 52, 8, 71, 96 ]
56
[ "71-52=19", "8*19=152", "152-96=56" ]
Current State: 56:[52, 8, 71, 96], Operations: [] Exploring Operation: 71-52=19, Resulting Numbers: [8, 96, 19] Generated Node #2: [8, 96, 19] from Operation: 71-52=19 Current State: 56:[8, 96, 19], Operations: ['71-52=19'] Exploring Operation: 8*19=152, Resulting Numbers: [96, 152] Generated Node #3: [96, 152] from Operation: 8*19=152 Current State: 56:[96, 152], Operations: ['71-52=19', '8*19=152'] Exploring Operation: 152-96=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 71, 7, 4, 17 ]
99
[ "71+7=78", "4+17=21", "78+21=99" ]
Current State: 99:[71, 7, 4, 17], Operations: [] Exploring Operation: 71+7=78, Resulting Numbers: [4, 17, 78] Generated Node #2: [4, 17, 78] from Operation: 71+7=78 Current State: 99:[4, 17, 78], Operations: ['71+7=78'] Exploring Operation: 4+17=21, Resulting Numbers: [78, 21] Generated Node #3: [78, 21] from Operation: 4+17=21 Current State: 99:[78, 21], Operations: ['71+7=78', '4+17=21'] Exploring Operation: 78+21=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 67, 34, 3, 14 ]
84
[ "67+34=101", "3+14=17", "101-17=84" ]
Current State: 84:[67, 34, 3, 14], Operations: [] Exploring Operation: 67+34=101, Resulting Numbers: [3, 14, 101] Generated Node #2: [3, 14, 101] from Operation: 67+34=101 Current State: 84:[3, 14, 101], Operations: ['67+34=101'] Exploring Operation: 3+14=17, Resulting Numbers: [101, 17] Generated Node #3: [101, 17] from Operation: 3+14=17 Current State: 84:[101, 17], Operations: ['67+34=101', '3+14=17'] Exploring Operation: 101-17=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 26, 38, 82, 72 ]
54
[ "26+38=64", "82-72=10", "64-10=54" ]
Current State: 54:[26, 38, 82, 72], Operations: [] Exploring Operation: 26+38=64, Resulting Numbers: [82, 72, 64] Generated Node #2: [82, 72, 64] from Operation: 26+38=64 Current State: 54:[82, 72, 64], Operations: ['26+38=64'] Exploring Operation: 82-72=10, Resulting Numbers: [64, 10] Generated Node #3: [64, 10] from Operation: 82-72=10 Current State: 54:[64, 10], Operations: ['26+38=64', '82-72=10'] Exploring Operation: 64-10=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 72, 35, 73, 19 ]
74
[ "73-35=38", "38/19=2", "72+2=74" ]
Current State: 74:[72, 35, 73, 19], Operations: [] Exploring Operation: 73-35=38, Resulting Numbers: [72, 19, 38] Generated Node #2: [72, 19, 38] from Operation: 73-35=38 Current State: 74:[72, 19, 38], Operations: ['73-35=38'] Exploring Operation: 38/19=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 38/19=2 Current State: 74:[72, 2], Operations: ['73-35=38', '38/19=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 17, 56, 24, 21 ]
29
[ "24-17=7", "56/7=8", "21+8=29" ]
Current State: 29:[17, 56, 24, 21], Operations: [] Exploring Operation: 24-17=7, Resulting Numbers: [56, 21, 7] Generated Node #2: [56, 21, 7] from Operation: 24-17=7 Current State: 29:[56, 21, 7], Operations: ['24-17=7'] Exploring Operation: 56/7=8, Resulting Numbers: [21, 8] Generated Node #3: [21, 8] from Operation: 56/7=8 Current State: 29:[21, 8], Operations: ['24-17=7', '56/7=8'] Exploring Operation: 21+8=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 24, 70, 3, 3 ]
88
[ "24+70=94", "3+3=6", "94-6=88" ]
Current State: 88:[24, 70, 3, 3], Operations: [] Exploring Operation: 24+70=94, Resulting Numbers: [3, 3, 94] Generated Node #2: [3, 3, 94] from Operation: 24+70=94 Current State: 88:[3, 3, 94], Operations: ['24+70=94'] Exploring Operation: 3+3=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 3+3=6 Current State: 88:[94, 6], Operations: ['24+70=94', '3+3=6'] Exploring Operation: 94-6=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 34, 5, 31, 15 ]
16
[ "34+31=65", "15+65=80", "80/5=16" ]
Current State: 16:[34, 5, 31, 15], Operations: [] Exploring Operation: 34+31=65, Resulting Numbers: [5, 15, 65] Generated Node #2: [5, 15, 65] from Operation: 34+31=65 Current State: 16:[5, 15, 65], Operations: ['34+31=65'] Exploring Operation: 15+65=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 15+65=80 Current State: 16:[5, 80], Operations: ['34+31=65', '15+65=80'] Exploring Operation: 80/5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 91, 24, 9, 75 ]
50
[ "91+75=166", "24*9=216", "216-166=50" ]
Current State: 50:[91, 24, 9, 75], Operations: [] Exploring Operation: 91+75=166, Resulting Numbers: [24, 9, 166] Generated Node #2: [24, 9, 166] from Operation: 91+75=166 Current State: 50:[24, 9, 166], Operations: ['91+75=166'] Exploring Operation: 24*9=216, Resulting Numbers: [166, 216] Generated Node #3: [166, 216] from Operation: 24*9=216 Current State: 50:[166, 216], Operations: ['91+75=166', '24*9=216'] Exploring Operation: 216-166=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 44, 39, 60, 29 ]
50
[ "39-29=10", "60/10=6", "44+6=50" ]
Current State: 50:[44, 39, 60, 29], Operations: [] Exploring Operation: 39-29=10, Resulting Numbers: [44, 60, 10] Generated Node #2: [44, 60, 10] from Operation: 39-29=10 Current State: 50:[44, 60, 10], Operations: ['39-29=10'] Exploring Operation: 60/10=6, Resulting Numbers: [44, 6] Generated Node #3: [44, 6] from Operation: 60/10=6 Current State: 50:[44, 6], Operations: ['39-29=10', '60/10=6'] Exploring Operation: 44+6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 53, 37, 42, 42 ]
15
[ "53-37=16", "42/42=1", "16-1=15" ]
Current State: 15:[53, 37, 42, 42], Operations: [] Exploring Operation: 53-37=16, Resulting Numbers: [42, 42, 16] Generated Node #2: [42, 42, 16] from Operation: 53-37=16 Current State: 15:[42, 42, 16], Operations: ['53-37=16'] Exploring Operation: 42/42=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 42/42=1 Current State: 15:[16, 1], Operations: ['53-37=16', '42/42=1'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 21, 16, 76, 27 ]
54
[ "21-16=5", "76-27=49", "5+49=54" ]
Current State: 54:[21, 16, 76, 27], Operations: [] Exploring Operation: 21-16=5, Resulting Numbers: [76, 27, 5] Generated Node #2: [76, 27, 5] from Operation: 21-16=5 Current State: 54:[76, 27, 5], Operations: ['21-16=5'] Exploring Operation: 76-27=49, Resulting Numbers: [5, 49] Generated Node #3: [5, 49] from Operation: 76-27=49 Current State: 54:[5, 49], Operations: ['21-16=5', '76-27=49'] Exploring Operation: 5+49=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 24, 5, 22, 41 ]
23
[ "24-22=2", "5+41=46", "46/2=23" ]
Current State: 23:[24, 5, 22, 41], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [5, 41, 2] Generated Node #2: [5, 41, 2] from Operation: 24-22=2 Current State: 23:[5, 41, 2], Operations: ['24-22=2'] Exploring Operation: 5+41=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 5+41=46 Current State: 23:[2, 46], Operations: ['24-22=2', '5+41=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 22, 33, 27, 40 ]
58
[ "22*27=594", "594/33=18", "40+18=58" ]
Current State: 58:[22, 33, 27, 40], Operations: [] Exploring Operation: 22*27=594, Resulting Numbers: [33, 40, 594] Generated Node #2: [33, 40, 594] from Operation: 22*27=594 Current State: 58:[33, 40, 594], Operations: ['22*27=594'] Exploring Operation: 594/33=18, Resulting Numbers: [40, 18] Generated Node #3: [40, 18] from Operation: 594/33=18 Current State: 58:[40, 18], Operations: ['22*27=594', '594/33=18'] Exploring Operation: 40+18=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 37, 2, 75, 36 ]
75
[ "37-2=35", "36-35=1", "75*1=75" ]
Current State: 75:[37, 2, 75, 36], Operations: [] Exploring Operation: 37-2=35, Resulting Numbers: [75, 36, 35] Generated Node #2: [75, 36, 35] from Operation: 37-2=35 Current State: 75:[75, 36, 35], Operations: ['37-2=35'] Exploring Operation: 36-35=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 36-35=1 Current State: 75:[75, 1], Operations: ['37-2=35', '36-35=1'] Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 80, 69, 38, 43 ]
73
[ "80*38=3040", "69*43=2967", "3040-2967=73" ]
Current State: 73:[80, 69, 38, 43], Operations: [] Exploring Operation: 80*38=3040, Resulting Numbers: [69, 43, 3040] Generated Node #2: [69, 43, 3040] from Operation: 80*38=3040 Current State: 73:[69, 43, 3040], Operations: ['80*38=3040'] Exploring Operation: 69*43=2967, Resulting Numbers: [3040, 2967] Generated Node #3: [3040, 2967] from Operation: 69*43=2967 Current State: 73:[3040, 2967], Operations: ['80*38=3040', '69*43=2967'] Exploring Operation: 3040-2967=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 93, 13, 43, 56 ]
67
[ "93-13=80", "56-43=13", "80-13=67" ]
Current State: 67:[93, 13, 43, 56], Operations: [] Exploring Operation: 93-13=80, Resulting Numbers: [43, 56, 80] Generated Node #2: [43, 56, 80] from Operation: 93-13=80 Current State: 67:[43, 56, 80], Operations: ['93-13=80'] Exploring Operation: 56-43=13, Resulting Numbers: [80, 13] Generated Node #3: [80, 13] from Operation: 56-43=13 Current State: 67:[80, 13], Operations: ['93-13=80', '56-43=13'] Exploring Operation: 80-13=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 86, 64, 87, 36 ]
99
[ "86+64=150", "87-36=51", "150-51=99" ]
Current State: 99:[86, 64, 87, 36], Operations: [] Exploring Operation: 86+64=150, Resulting Numbers: [87, 36, 150] Generated Node #2: [87, 36, 150] from Operation: 86+64=150 Current State: 99:[87, 36, 150], Operations: ['86+64=150'] Exploring Operation: 87-36=51, Resulting Numbers: [150, 51] Generated Node #3: [150, 51] from Operation: 87-36=51 Current State: 99:[150, 51], Operations: ['86+64=150', '87-36=51'] Exploring Operation: 150-51=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 26, 79, 38, 2 ]
73
[ "38-26=12", "12/2=6", "79-6=73" ]
Current State: 73:[26, 79, 38, 2], Operations: [] Exploring Operation: 38-26=12, Resulting Numbers: [79, 2, 12] Generated Node #2: [79, 2, 12] from Operation: 38-26=12 Current State: 73:[79, 2, 12], Operations: ['38-26=12'] Exploring Operation: 12/2=6, Resulting Numbers: [79, 6] Generated Node #3: [79, 6] from Operation: 12/2=6 Current State: 73:[79, 6], Operations: ['38-26=12', '12/2=6'] Exploring Operation: 79-6=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 26, 22, 72, 31 ]
99
[ "26-22=4", "72+31=103", "103-4=99" ]
Current State: 99:[26, 22, 72, 31], Operations: [] Exploring Operation: 26-22=4, Resulting Numbers: [72, 31, 4] Generated Node #2: [72, 31, 4] from Operation: 26-22=4 Current State: 99:[72, 31, 4], Operations: ['26-22=4'] Exploring Operation: 72+31=103, Resulting Numbers: [4, 103] Generated Node #3: [4, 103] from Operation: 72+31=103 Current State: 99:[4, 103], Operations: ['26-22=4', '72+31=103'] Exploring Operation: 103-4=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 11, 98, 75, 3 ]
37
[ "11+98=109", "75-3=72", "109-72=37" ]
Current State: 37:[11, 98, 75, 3], Operations: [] Exploring Operation: 11+98=109, Resulting Numbers: [75, 3, 109] Generated Node #2: [75, 3, 109] from Operation: 11+98=109 Current State: 37:[75, 3, 109], Operations: ['11+98=109'] Exploring Operation: 75-3=72, Resulting Numbers: [109, 72] Generated Node #3: [109, 72] from Operation: 75-3=72 Current State: 37:[109, 72], Operations: ['11+98=109', '75-3=72'] Exploring Operation: 109-72=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 27, 35, 32, 34 ]
38
[ "35-27=8", "32/8=4", "34+4=38" ]
Current State: 38:[27, 35, 32, 34], Operations: [] Exploring Operation: 35-27=8, Resulting Numbers: [32, 34, 8] Generated Node #2: [32, 34, 8] from Operation: 35-27=8 Current State: 38:[32, 34, 8], Operations: ['35-27=8'] Exploring Operation: 32/8=4, Resulting Numbers: [34, 4] Generated Node #3: [34, 4] from Operation: 32/8=4 Current State: 38:[34, 4], Operations: ['35-27=8', '32/8=4'] Exploring Operation: 34+4=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 22, 58, 70, 10 ]
78
[ "22+58=80", "80/10=8", "70+8=78" ]
Current State: 78:[22, 58, 70, 10], Operations: [] Exploring Operation: 22+58=80, Resulting Numbers: [70, 10, 80] Generated Node #2: [70, 10, 80] from Operation: 22+58=80 Current State: 78:[70, 10, 80], Operations: ['22+58=80'] Exploring Operation: 80/10=8, Resulting Numbers: [70, 8] Generated Node #3: [70, 8] from Operation: 80/10=8 Current State: 78:[70, 8], Operations: ['22+58=80', '80/10=8'] Exploring Operation: 70+8=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 34, 47, 45, 81 ]
49
[ "47-34=13", "81-45=36", "13+36=49" ]
Current State: 49:[34, 47, 45, 81], Operations: [] Exploring Operation: 47-34=13, Resulting Numbers: [45, 81, 13] Generated Node #2: [45, 81, 13] from Operation: 47-34=13 Current State: 49:[45, 81, 13], Operations: ['47-34=13'] Exploring Operation: 81-45=36, Resulting Numbers: [13, 36] Generated Node #3: [13, 36] from Operation: 81-45=36 Current State: 49:[13, 36], Operations: ['47-34=13', '81-45=36'] Exploring Operation: 13+36=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 46, 57, 44, 52 ]
62
[ "46-44=2", "57*2=114", "114-52=62" ]
Current State: 62:[46, 57, 44, 52], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [57, 52, 2] Generated Node #2: [57, 52, 2] from Operation: 46-44=2 Current State: 62:[57, 52, 2], Operations: ['46-44=2'] Exploring Operation: 57*2=114, Resulting Numbers: [52, 114] Generated Node #3: [52, 114] from Operation: 57*2=114 Current State: 62:[52, 114], Operations: ['46-44=2', '57*2=114'] Exploring Operation: 114-52=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 46, 82, 95, 4 ]
37
[ "46+82=128", "95-4=91", "128-91=37" ]
Current State: 37:[46, 82, 95, 4], Operations: [] Exploring Operation: 46+82=128, Resulting Numbers: [95, 4, 128] Generated Node #2: [95, 4, 128] from Operation: 46+82=128 Current State: 37:[95, 4, 128], Operations: ['46+82=128'] Exploring Operation: 95-4=91, Resulting Numbers: [128, 91] Generated Node #3: [128, 91] from Operation: 95-4=91 Current State: 37:[128, 91], Operations: ['46+82=128', '95-4=91'] Exploring Operation: 128-91=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 28, 4, 64, 74 ]
76
[ "28+4=32", "64/32=2", "74+2=76" ]
Current State: 76:[28, 4, 64, 74], Operations: [] Exploring Operation: 28+4=32, Resulting Numbers: [64, 74, 32] Generated Node #2: [64, 74, 32] from Operation: 28+4=32 Current State: 76:[64, 74, 32], Operations: ['28+4=32'] Exploring Operation: 64/32=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 64/32=2 Current State: 76:[74, 2], Operations: ['28+4=32', '64/32=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 65, 85, 43, 34 ]
95
[ "65*43=2795", "85*34=2890", "2890-2795=95" ]
Current State: 95:[65, 85, 43, 34], Operations: [] Exploring Operation: 65*43=2795, Resulting Numbers: [85, 34, 2795] Generated Node #2: [85, 34, 2795] from Operation: 65*43=2795 Current State: 95:[85, 34, 2795], Operations: ['65*43=2795'] Exploring Operation: 85*34=2890, Resulting Numbers: [2795, 2890] Generated Node #3: [2795, 2890] from Operation: 85*34=2890 Current State: 95:[2795, 2890], Operations: ['65*43=2795', '85*34=2890'] Exploring Operation: 2890-2795=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 95, 91, 40, 19 ]
25
[ "95-91=4", "40-19=21", "4+21=25" ]
Current State: 25:[95, 91, 40, 19], Operations: [] Exploring Operation: 95-91=4, Resulting Numbers: [40, 19, 4] Generated Node #2: [40, 19, 4] from Operation: 95-91=4 Current State: 25:[40, 19, 4], Operations: ['95-91=4'] Exploring Operation: 40-19=21, Resulting Numbers: [4, 21] Generated Node #3: [4, 21] from Operation: 40-19=21 Current State: 25:[4, 21], Operations: ['95-91=4', '40-19=21'] Exploring Operation: 4+21=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 67, 39, 80, 81 ]
29
[ "67-39=28", "81-80=1", "28+1=29" ]
Current State: 29:[67, 39, 80, 81], Operations: [] Exploring Operation: 67-39=28, Resulting Numbers: [80, 81, 28] Generated Node #2: [80, 81, 28] from Operation: 67-39=28 Current State: 29:[80, 81, 28], Operations: ['67-39=28'] Exploring Operation: 81-80=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 81-80=1 Current State: 29:[28, 1], Operations: ['67-39=28', '81-80=1'] Exploring Operation: 28+1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 96, 72, 50, 48 ]
25
[ "96-72=24", "50*24=1200", "1200/48=25" ]
Current State: 25:[96, 72, 50, 48], Operations: [] Exploring Operation: 96-72=24, Resulting Numbers: [50, 48, 24] Generated Node #2: [50, 48, 24] from Operation: 96-72=24 Current State: 25:[50, 48, 24], Operations: ['96-72=24'] Exploring Operation: 50*24=1200, Resulting Numbers: [48, 1200] Generated Node #3: [48, 1200] from Operation: 50*24=1200 Current State: 25:[48, 1200], Operations: ['96-72=24', '50*24=1200'] Exploring Operation: 1200/48=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 80, 31, 18, 77 ]
79
[ "80-18=62", "62/31=2", "77+2=79" ]
Current State: 79:[80, 31, 18, 77], Operations: [] Exploring Operation: 80-18=62, Resulting Numbers: [31, 77, 62] Generated Node #2: [31, 77, 62] from Operation: 80-18=62 Current State: 79:[31, 77, 62], Operations: ['80-18=62'] Exploring Operation: 62/31=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 62/31=2 Current State: 79:[77, 2], Operations: ['80-18=62', '62/31=2'] Exploring Operation: 77+2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 55, 62, 67, 28 ]
46
[ "62-55=7", "67-28=39", "7+39=46" ]
Current State: 46:[55, 62, 67, 28], Operations: [] Exploring Operation: 62-55=7, Resulting Numbers: [67, 28, 7] Generated Node #2: [67, 28, 7] from Operation: 62-55=7 Current State: 46:[67, 28, 7], Operations: ['62-55=7'] Exploring Operation: 67-28=39, Resulting Numbers: [7, 39] Generated Node #3: [7, 39] from Operation: 67-28=39 Current State: 46:[7, 39], Operations: ['62-55=7', '67-28=39'] Exploring Operation: 7+39=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 17, 25, 3, 37 ]
23
[ "17+25=42", "42/3=14", "37-14=23" ]
Current State: 23:[17, 25, 3, 37], Operations: [] Exploring Operation: 17+25=42, Resulting Numbers: [3, 37, 42] Generated Node #2: [3, 37, 42] from Operation: 17+25=42 Current State: 23:[3, 37, 42], Operations: ['17+25=42'] Exploring Operation: 42/3=14, Resulting Numbers: [37, 14] Generated Node #3: [37, 14] from Operation: 42/3=14 Current State: 23:[37, 14], Operations: ['17+25=42', '42/3=14'] Exploring Operation: 37-14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 75, 28, 5, 58 ]
100
[ "75-28=47", "58-5=53", "47+53=100" ]
Current State: 100:[75, 28, 5, 58], Operations: [] Exploring Operation: 75-28=47, Resulting Numbers: [5, 58, 47] Generated Node #2: [5, 58, 47] from Operation: 75-28=47 Current State: 100:[5, 58, 47], Operations: ['75-28=47'] Exploring Operation: 58-5=53, Resulting Numbers: [47, 53] Generated Node #3: [47, 53] from Operation: 58-5=53 Current State: 100:[47, 53], Operations: ['75-28=47', '58-5=53'] Exploring Operation: 47+53=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 68, 15, 46, 21 ]
28
[ "68-15=53", "46-21=25", "53-25=28" ]
Current State: 28:[68, 15, 46, 21], Operations: [] Exploring Operation: 68-15=53, Resulting Numbers: [46, 21, 53] Generated Node #2: [46, 21, 53] from Operation: 68-15=53 Current State: 28:[46, 21, 53], Operations: ['68-15=53'] Exploring Operation: 46-21=25, Resulting Numbers: [53, 25] Generated Node #3: [53, 25] from Operation: 46-21=25 Current State: 28:[53, 25], Operations: ['68-15=53', '46-21=25'] Exploring Operation: 53-25=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 71, 68, 4, 39 ]
96
[ "71+68=139", "4+39=43", "139-43=96" ]
Current State: 96:[71, 68, 4, 39], Operations: [] Exploring Operation: 71+68=139, Resulting Numbers: [4, 39, 139] Generated Node #2: [4, 39, 139] from Operation: 71+68=139 Current State: 96:[4, 39, 139], Operations: ['71+68=139'] Exploring Operation: 4+39=43, Resulting Numbers: [139, 43] Generated Node #3: [139, 43] from Operation: 4+39=43 Current State: 96:[139, 43], Operations: ['71+68=139', '4+39=43'] Exploring Operation: 139-43=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 23, 2, 36, 84 ]
58
[ "36-23=13", "2*13=26", "84-26=58" ]
Current State: 58:[23, 2, 36, 84], Operations: [] Exploring Operation: 36-23=13, Resulting Numbers: [2, 84, 13] Generated Node #2: [2, 84, 13] from Operation: 36-23=13 Current State: 58:[2, 84, 13], Operations: ['36-23=13'] Exploring Operation: 2*13=26, Resulting Numbers: [84, 26] Generated Node #3: [84, 26] from Operation: 2*13=26 Current State: 58:[84, 26], Operations: ['36-23=13', '2*13=26'] Exploring Operation: 84-26=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 44, 48, 82, 6 ]
30
[ "82-44=38", "48/6=8", "38-8=30" ]
Current State: 30:[44, 48, 82, 6], Operations: [] Exploring Operation: 82-44=38, Resulting Numbers: [48, 6, 38] Generated Node #2: [48, 6, 38] from Operation: 82-44=38 Current State: 30:[48, 6, 38], Operations: ['82-44=38'] Exploring Operation: 48/6=8, Resulting Numbers: [38, 8] Generated Node #3: [38, 8] from Operation: 48/6=8 Current State: 30:[38, 8], Operations: ['82-44=38', '48/6=8'] Exploring Operation: 38-8=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 95, 38, 12, 19 ]
62
[ "95*12=1140", "38+1140=1178", "1178/19=62" ]
Current State: 62:[95, 38, 12, 19], Operations: [] Exploring Operation: 95*12=1140, Resulting Numbers: [38, 19, 1140] Generated Node #2: [38, 19, 1140] from Operation: 95*12=1140 Current State: 62:[38, 19, 1140], Operations: ['95*12=1140'] Exploring Operation: 38+1140=1178, Resulting Numbers: [19, 1178] Generated Node #3: [19, 1178] from Operation: 38+1140=1178 Current State: 62:[19, 1178], Operations: ['95*12=1140', '38+1140=1178'] Exploring Operation: 1178/19=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 54, 43, 50, 84 ]
37
[ "54+43=97", "50+84=134", "134-97=37" ]
Current State: 37:[54, 43, 50, 84], Operations: [] Exploring Operation: 54+43=97, Resulting Numbers: [50, 84, 97] Generated Node #2: [50, 84, 97] from Operation: 54+43=97 Current State: 37:[50, 84, 97], Operations: ['54+43=97'] Exploring Operation: 50+84=134, Resulting Numbers: [97, 134] Generated Node #3: [97, 134] from Operation: 50+84=134 Current State: 37:[97, 134], Operations: ['54+43=97', '50+84=134'] Exploring Operation: 134-97=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 80, 48, 26, 96 ]
14
[ "80*48=3840", "3840/96=40", "40-26=14" ]
Current State: 14:[80, 48, 26, 96], Operations: [] Exploring Operation: 80*48=3840, Resulting Numbers: [26, 96, 3840] Generated Node #2: [26, 96, 3840] from Operation: 80*48=3840 Current State: 14:[26, 96, 3840], Operations: ['80*48=3840'] Exploring Operation: 3840/96=40, Resulting Numbers: [26, 40] Generated Node #3: [26, 40] from Operation: 3840/96=40 Current State: 14:[26, 40], Operations: ['80*48=3840', '3840/96=40'] Exploring Operation: 40-26=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 86, 10, 40, 28 ]
45
[ "86+40=126", "10*126=1260", "1260/28=45" ]
Current State: 45:[86, 10, 40, 28], Operations: [] Exploring Operation: 86+40=126, Resulting Numbers: [10, 28, 126] Generated Node #2: [10, 28, 126] from Operation: 86+40=126 Current State: 45:[10, 28, 126], Operations: ['86+40=126'] Exploring Operation: 10*126=1260, Resulting Numbers: [28, 1260] Generated Node #3: [28, 1260] from Operation: 10*126=1260 Current State: 45:[28, 1260], Operations: ['86+40=126', '10*126=1260'] Exploring Operation: 1260/28=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 81, 57, 54, 18 ]
46
[ "81+57=138", "54/18=3", "138/3=46" ]
Current State: 46:[81, 57, 54, 18], Operations: [] Exploring Operation: 81+57=138, Resulting Numbers: [54, 18, 138] Generated Node #2: [54, 18, 138] from Operation: 81+57=138 Current State: 46:[54, 18, 138], Operations: ['81+57=138'] Exploring Operation: 54/18=3, Resulting Numbers: [138, 3] Generated Node #3: [138, 3] from Operation: 54/18=3 Current State: 46:[138, 3], Operations: ['81+57=138', '54/18=3'] Exploring Operation: 138/3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 97, 72, 35, 43 ]
91
[ "97+72=169", "35+43=78", "169-78=91" ]
Current State: 91:[97, 72, 35, 43], Operations: [] Exploring Operation: 97+72=169, Resulting Numbers: [35, 43, 169] Generated Node #2: [35, 43, 169] from Operation: 97+72=169 Current State: 91:[35, 43, 169], Operations: ['97+72=169'] Exploring Operation: 35+43=78, Resulting Numbers: [169, 78] Generated Node #3: [169, 78] from Operation: 35+43=78 Current State: 91:[169, 78], Operations: ['97+72=169', '35+43=78'] Exploring Operation: 169-78=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 14, 41, 33, 67 ]
98
[ "41+33=74", "74-67=7", "14*7=98" ]
Current State: 98:[14, 41, 33, 67], Operations: [] Exploring Operation: 41+33=74, Resulting Numbers: [14, 67, 74] Generated Node #2: [14, 67, 74] from Operation: 41+33=74 Current State: 98:[14, 67, 74], Operations: ['41+33=74'] Exploring Operation: 74-67=7, Resulting Numbers: [14, 7] Generated Node #3: [14, 7] from Operation: 74-67=7 Current State: 98:[14, 7], Operations: ['41+33=74', '74-67=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 38, 73, 93, 21 ]
39
[ "38+73=111", "93-21=72", "111-72=39" ]
Current State: 39:[38, 73, 93, 21], Operations: [] Exploring Operation: 38+73=111, Resulting Numbers: [93, 21, 111] Generated Node #2: [93, 21, 111] from Operation: 38+73=111 Current State: 39:[93, 21, 111], Operations: ['38+73=111'] Exploring Operation: 93-21=72, Resulting Numbers: [111, 72] Generated Node #3: [111, 72] from Operation: 93-21=72 Current State: 39:[111, 72], Operations: ['38+73=111', '93-21=72'] Exploring Operation: 111-72=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 64, 45, 34, 66 ]
22
[ "66-64=2", "45-34=11", "2*11=22" ]
Current State: 22:[64, 45, 34, 66], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [45, 34, 2] Generated Node #2: [45, 34, 2] from Operation: 66-64=2 Current State: 22:[45, 34, 2], Operations: ['66-64=2'] Exploring Operation: 45-34=11, Resulting Numbers: [2, 11] Generated Node #3: [2, 11] from Operation: 45-34=11 Current State: 22:[2, 11], Operations: ['66-64=2', '45-34=11'] Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 86, 10, 37, 41 ]
100
[ "86+10=96", "41-37=4", "96+4=100" ]
Current State: 100:[86, 10, 37, 41], Operations: [] Exploring Operation: 86+10=96, Resulting Numbers: [37, 41, 96] Generated Node #2: [37, 41, 96] from Operation: 86+10=96 Current State: 100:[37, 41, 96], Operations: ['86+10=96'] Exploring Operation: 41-37=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 41-37=4 Current State: 100:[96, 4], Operations: ['86+10=96', '41-37=4'] Exploring Operation: 96+4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 35, 24, 28, 24 ]
41
[ "35-24=11", "28+24=52", "52-11=41" ]
Current State: 41:[35, 24, 28, 24], Operations: [] Exploring Operation: 35-24=11, Resulting Numbers: [28, 11] Generated Node #2: [28, 11] from Operation: 35-24=11 Current State: 41:[28, 11], Operations: ['35-24=11'] Exploring Operation: 28+24=52, Resulting Numbers: [11, 52] Generated Node #3: [11, 52] from Operation: 28+24=52 Current State: 41:[11, 52], Operations: ['35-24=11', '28+24=52'] Exploring Operation: 52-11=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 57, 5, 70, 19 ]
90
[ "57+19=76", "70/5=14", "76+14=90" ]
Current State: 90:[57, 5, 70, 19], Operations: [] Exploring Operation: 57+19=76, Resulting Numbers: [5, 70, 76] Generated Node #2: [5, 70, 76] from Operation: 57+19=76 Current State: 90:[5, 70, 76], Operations: ['57+19=76'] Exploring Operation: 70/5=14, Resulting Numbers: [76, 14] Generated Node #3: [76, 14] from Operation: 70/5=14 Current State: 90:[76, 14], Operations: ['57+19=76', '70/5=14'] Exploring Operation: 76+14=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 73, 37, 21, 6 ]
23
[ "37-21=16", "6*16=96", "96-73=23" ]
Current State: 23:[73, 37, 21, 6], Operations: [] Exploring Operation: 37-21=16, Resulting Numbers: [73, 6, 16] Generated Node #2: [73, 6, 16] from Operation: 37-21=16 Current State: 23:[73, 6, 16], Operations: ['37-21=16'] Exploring Operation: 6*16=96, Resulting Numbers: [73, 96] Generated Node #3: [73, 96] from Operation: 6*16=96 Current State: 23:[73, 96], Operations: ['37-21=16', '6*16=96'] Exploring Operation: 96-73=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 76, 92, 90, 15 ]
89
[ "92-76=16", "90+15=105", "105-16=89" ]
Current State: 89:[76, 92, 90, 15], Operations: [] Exploring Operation: 92-76=16, Resulting Numbers: [90, 15, 16] Generated Node #2: [90, 15, 16] from Operation: 92-76=16 Current State: 89:[90, 15, 16], Operations: ['92-76=16'] Exploring Operation: 90+15=105, Resulting Numbers: [16, 105] Generated Node #3: [16, 105] from Operation: 90+15=105 Current State: 89:[16, 105], Operations: ['92-76=16', '90+15=105'] Exploring Operation: 105-16=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 10, 70, 78, 84 ]
62
[ "84-70=14", "10*14=140", "140-78=62" ]
Current State: 62:[10, 70, 78, 84], Operations: [] Exploring Operation: 84-70=14, Resulting Numbers: [10, 78, 14] Generated Node #2: [10, 78, 14] from Operation: 84-70=14 Current State: 62:[10, 78, 14], Operations: ['84-70=14'] Exploring Operation: 10*14=140, Resulting Numbers: [78, 140] Generated Node #3: [78, 140] from Operation: 10*14=140 Current State: 62:[78, 140], Operations: ['84-70=14', '10*14=140'] Exploring Operation: 140-78=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 83, 55, 5, 71 ]
94
[ "83-55=28", "71-5=66", "28+66=94" ]
Current State: 94:[83, 55, 5, 71], Operations: [] Exploring Operation: 83-55=28, Resulting Numbers: [5, 71, 28] Generated Node #2: [5, 71, 28] from Operation: 83-55=28 Current State: 94:[5, 71, 28], Operations: ['83-55=28'] Exploring Operation: 71-5=66, Resulting Numbers: [28, 66] Generated Node #3: [28, 66] from Operation: 71-5=66 Current State: 94:[28, 66], Operations: ['83-55=28', '71-5=66'] Exploring Operation: 28+66=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 85, 39, 61, 5 ]
75
[ "85-39=46", "61-46=15", "5*15=75" ]
Current State: 75:[85, 39, 61, 5], Operations: [] Exploring Operation: 85-39=46, Resulting Numbers: [61, 5, 46] Generated Node #2: [61, 5, 46] from Operation: 85-39=46 Current State: 75:[61, 5, 46], Operations: ['85-39=46'] Exploring Operation: 61-46=15, Resulting Numbers: [5, 15] Generated Node #3: [5, 15] from Operation: 61-46=15 Current State: 75:[5, 15], Operations: ['85-39=46', '61-46=15'] Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 23, 70, 11, 35 ]
24
[ "23-11=12", "70/35=2", "12*2=24" ]
Current State: 24:[23, 70, 11, 35], Operations: [] Exploring Operation: 23-11=12, Resulting Numbers: [70, 35, 12] Generated Node #2: [70, 35, 12] from Operation: 23-11=12 Current State: 24:[70, 35, 12], Operations: ['23-11=12'] Exploring Operation: 70/35=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 70/35=2 Current State: 24:[12, 2], Operations: ['23-11=12', '70/35=2'] Exploring Operation: 12*2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 96, 52, 4, 48 ]
80
[ "52-48=4", "4*4=16", "96-16=80" ]
Current State: 80:[96, 52, 4, 48], Operations: [] Exploring Operation: 52-48=4, Resulting Numbers: [96, 4, 4] Generated Node #2: [96, 4, 4] from Operation: 52-48=4 Current State: 80:[96, 4, 4], Operations: ['52-48=4'] Exploring Operation: 4*4=16, Resulting Numbers: [96, 16] Generated Node #3: [96, 16] from Operation: 4*4=16 Current State: 80:[96, 16], Operations: ['52-48=4', '4*4=16'] Exploring Operation: 96-16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 67, 2, 99, 34 ]
30
[ "99-67=32", "2*32=64", "64-34=30" ]
Current State: 30:[67, 2, 99, 34], Operations: [] Exploring Operation: 99-67=32, Resulting Numbers: [2, 34, 32] Generated Node #2: [2, 34, 32] from Operation: 99-67=32 Current State: 30:[2, 34, 32], Operations: ['99-67=32'] Exploring Operation: 2*32=64, Resulting Numbers: [34, 64] Generated Node #3: [34, 64] from Operation: 2*32=64 Current State: 30:[34, 64], Operations: ['99-67=32', '2*32=64'] Exploring Operation: 64-34=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 32, 78, 62, 15 ]
17
[ "78-62=16", "32/16=2", "15+2=17" ]
Current State: 17:[32, 78, 62, 15], Operations: [] Exploring Operation: 78-62=16, Resulting Numbers: [32, 15, 16] Generated Node #2: [32, 15, 16] from Operation: 78-62=16 Current State: 17:[32, 15, 16], Operations: ['78-62=16'] Exploring Operation: 32/16=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 32/16=2 Current State: 17:[15, 2], Operations: ['78-62=16', '32/16=2'] Exploring Operation: 15+2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 1, 5, 80, 23 ]
38
[ "23-1=22", "80/5=16", "22+16=38" ]
Current State: 38:[1, 5, 80, 23], Operations: [] Exploring Operation: 23-1=22, Resulting Numbers: [5, 80, 22] Generated Node #2: [5, 80, 22] from Operation: 23-1=22 Current State: 38:[5, 80, 22], Operations: ['23-1=22'] Exploring Operation: 80/5=16, Resulting Numbers: [22, 16] Generated Node #3: [22, 16] from Operation: 80/5=16 Current State: 38:[22, 16], Operations: ['23-1=22', '80/5=16'] Exploring Operation: 22+16=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 20, 69, 5, 25 ]
73
[ "20*5=100", "100/25=4", "69+4=73" ]
Current State: 73:[20, 69, 5, 25], Operations: [] Exploring Operation: 20*5=100, Resulting Numbers: [69, 25, 100] Generated Node #2: [69, 25, 100] from Operation: 20*5=100 Current State: 73:[69, 25, 100], Operations: ['20*5=100'] Exploring Operation: 100/25=4, Resulting Numbers: [69, 4] Generated Node #3: [69, 4] from Operation: 100/25=4 Current State: 73:[69, 4], Operations: ['20*5=100', '100/25=4'] Exploring Operation: 69+4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 49, 58, 77, 14 ]
54
[ "58-49=9", "77-14=63", "63-9=54" ]
Current State: 54:[49, 58, 77, 14], Operations: [] Exploring Operation: 58-49=9, Resulting Numbers: [77, 14, 9] Generated Node #2: [77, 14, 9] from Operation: 58-49=9 Current State: 54:[77, 14, 9], Operations: ['58-49=9'] Exploring Operation: 77-14=63, Resulting Numbers: [9, 63] Generated Node #3: [9, 63] from Operation: 77-14=63 Current State: 54:[9, 63], Operations: ['58-49=9', '77-14=63'] Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 30, 36, 3, 99 ]
85
[ "3+99=102", "30*102=3060", "3060/36=85" ]
Current State: 85:[30, 36, 3, 99], Operations: [] Exploring Operation: 3+99=102, Resulting Numbers: [30, 36, 102] Generated Node #2: [30, 36, 102] from Operation: 3+99=102 Current State: 85:[30, 36, 102], Operations: ['3+99=102'] Exploring Operation: 30*102=3060, Resulting Numbers: [36, 3060] Generated Node #3: [36, 3060] from Operation: 30*102=3060 Current State: 85:[36, 3060], Operations: ['3+99=102', '30*102=3060'] Exploring Operation: 3060/36=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 6, 6, 14, 51 ]
37
[ "6-6=0", "51-14=37", "0+37=37" ]
Current State: 37:[6, 6, 14, 51], Operations: [] Exploring Operation: 6-6=0, Resulting Numbers: [14, 51, 0] Generated Node #2: [14, 51, 0] from Operation: 6-6=0 Current State: 37:[14, 51, 0], Operations: ['6-6=0'] Exploring Operation: 51-14=37, Resulting Numbers: [0, 37] Generated Node #3: [0, 37] from Operation: 51-14=37 Current State: 37:[0, 37], Operations: ['6-6=0', '51-14=37'] Exploring Operation: 0+37=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 58, 56, 57, 11 ]
35
[ "58-56=2", "11*2=22", "57-22=35" ]
Current State: 35:[58, 56, 57, 11], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [57, 11, 2] Generated Node #2: [57, 11, 2] from Operation: 58-56=2 Current State: 35:[57, 11, 2], Operations: ['58-56=2'] Exploring Operation: 11*2=22, Resulting Numbers: [57, 22] Generated Node #3: [57, 22] from Operation: 11*2=22 Current State: 35:[57, 22], Operations: ['58-56=2', '11*2=22'] Exploring Operation: 57-22=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 39, 50, 61, 94 ]
47
[ "39+61=100", "50*94=4700", "4700/100=47" ]
Current State: 47:[39, 50, 61, 94], Operations: [] Exploring Operation: 39+61=100, Resulting Numbers: [50, 94, 100] Generated Node #2: [50, 94, 100] from Operation: 39+61=100 Current State: 47:[50, 94, 100], Operations: ['39+61=100'] Exploring Operation: 50*94=4700, Resulting Numbers: [100, 4700] Generated Node #3: [100, 4700] from Operation: 50*94=4700 Current State: 47:[100, 4700], Operations: ['39+61=100', '50*94=4700'] Exploring Operation: 4700/100=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 11, 73, 40, 5 ]
72
[ "40-11=29", "5*29=145", "145-73=72" ]
Current State: 72:[11, 73, 40, 5], Operations: [] Exploring Operation: 40-11=29, Resulting Numbers: [73, 5, 29] Generated Node #2: [73, 5, 29] from Operation: 40-11=29 Current State: 72:[73, 5, 29], Operations: ['40-11=29'] Exploring Operation: 5*29=145, Resulting Numbers: [73, 145] Generated Node #3: [73, 145] from Operation: 5*29=145 Current State: 72:[73, 145], Operations: ['40-11=29', '5*29=145'] Exploring Operation: 145-73=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 27, 86, 39, 89 ]
14
[ "89-86=3", "39/3=13", "27-13=14" ]
Current State: 14:[27, 86, 39, 89], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [27, 39, 3] Generated Node #2: [27, 39, 3] from Operation: 89-86=3 Current State: 14:[27, 39, 3], Operations: ['89-86=3'] Exploring Operation: 39/3=13, Resulting Numbers: [27, 13] Generated Node #3: [27, 13] from Operation: 39/3=13 Current State: 14:[27, 13], Operations: ['89-86=3', '39/3=13'] Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 3, 49, 6, 69 ]
74
[ "6+69=75", "75/3=25", "49+25=74" ]
Current State: 74:[3, 49, 6, 69], Operations: [] Exploring Operation: 6+69=75, Resulting Numbers: [3, 49, 75] Generated Node #2: [3, 49, 75] from Operation: 6+69=75 Current State: 74:[3, 49, 75], Operations: ['6+69=75'] Exploring Operation: 75/3=25, Resulting Numbers: [49, 25] Generated Node #3: [49, 25] from Operation: 75/3=25 Current State: 74:[49, 25], Operations: ['6+69=75', '75/3=25'] Exploring Operation: 49+25=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 47, 85, 71, 74 ]
13
[ "47+85=132", "71+74=145", "145-132=13" ]
Current State: 13:[47, 85, 71, 74], Operations: [] Exploring Operation: 47+85=132, Resulting Numbers: [71, 74, 132] Generated Node #2: [71, 74, 132] from Operation: 47+85=132 Current State: 13:[71, 74, 132], Operations: ['47+85=132'] Exploring Operation: 71+74=145, Resulting Numbers: [132, 145] Generated Node #3: [132, 145] from Operation: 71+74=145 Current State: 13:[132, 145], Operations: ['47+85=132', '71+74=145'] Exploring Operation: 145-132=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 11, 4, 8, 54 ]
80
[ "11*4=44", "54-44=10", "8*10=80" ]
Current State: 80:[11, 4, 8, 54], Operations: [] Exploring Operation: 11*4=44, Resulting Numbers: [8, 54, 44] Generated Node #2: [8, 54, 44] from Operation: 11*4=44 Current State: 80:[8, 54, 44], Operations: ['11*4=44'] Exploring Operation: 54-44=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 54-44=10 Current State: 80:[8, 10], Operations: ['11*4=44', '54-44=10'] Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 32, 91, 87, 35 ]
63
[ "91-32=59", "87+35=122", "122-59=63" ]
Current State: 63:[32, 91, 87, 35], Operations: [] Exploring Operation: 91-32=59, Resulting Numbers: [87, 35, 59] Generated Node #2: [87, 35, 59] from Operation: 91-32=59 Current State: 63:[87, 35, 59], Operations: ['91-32=59'] Exploring Operation: 87+35=122, Resulting Numbers: [59, 122] Generated Node #3: [59, 122] from Operation: 87+35=122 Current State: 63:[59, 122], Operations: ['91-32=59', '87+35=122'] Exploring Operation: 122-59=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 36, 31, 77, 27 ]
32
[ "31+77=108", "108/27=4", "36-4=32" ]
Current State: 32:[36, 31, 77, 27], Operations: [] Exploring Operation: 31+77=108, Resulting Numbers: [36, 27, 108] Generated Node #2: [36, 27, 108] from Operation: 31+77=108 Current State: 32:[36, 27, 108], Operations: ['31+77=108'] Exploring Operation: 108/27=4, Resulting Numbers: [36, 4] Generated Node #3: [36, 4] from Operation: 108/27=4 Current State: 32:[36, 4], Operations: ['31+77=108', '108/27=4'] Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 56, 47, 17, 51 ]
100
[ "56+47=103", "51/17=3", "103-3=100" ]
Current State: 100:[56, 47, 17, 51], Operations: [] Exploring Operation: 56+47=103, Resulting Numbers: [17, 51, 103] Generated Node #2: [17, 51, 103] from Operation: 56+47=103 Current State: 100:[17, 51, 103], Operations: ['56+47=103'] Exploring Operation: 51/17=3, Resulting Numbers: [103, 3] Generated Node #3: [103, 3] from Operation: 51/17=3 Current State: 100:[103, 3], Operations: ['56+47=103', '51/17=3'] Exploring Operation: 103-3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 42, 82, 50, 68 ]
79
[ "50*68=3400", "3400-82=3318", "3318/42=79" ]
Current State: 79:[42, 82, 50, 68], Operations: [] Exploring Operation: 50*68=3400, Resulting Numbers: [42, 82, 3400] Generated Node #2: [42, 82, 3400] from Operation: 50*68=3400 Current State: 79:[42, 82, 3400], Operations: ['50*68=3400'] Exploring Operation: 3400-82=3318, Resulting Numbers: [42, 3318] Generated Node #3: [42, 3318] from Operation: 3400-82=3318 Current State: 79:[42, 3318], Operations: ['50*68=3400', '3400-82=3318'] Exploring Operation: 3318/42=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 15, 2, 23, 82 ]
88
[ "15+2=17", "23+82=105", "105-17=88" ]
Current State: 88:[15, 2, 23, 82], Operations: [] Exploring Operation: 15+2=17, Resulting Numbers: [23, 82, 17] Generated Node #2: [23, 82, 17] from Operation: 15+2=17 Current State: 88:[23, 82, 17], Operations: ['15+2=17'] Exploring Operation: 23+82=105, Resulting Numbers: [17, 105] Generated Node #3: [17, 105] from Operation: 23+82=105 Current State: 88:[17, 105], Operations: ['15+2=17', '23+82=105'] Exploring Operation: 105-17=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 53, 68, 78, 17 ]
46
[ "68-53=15", "78-17=61", "61-15=46" ]
Current State: 46:[53, 68, 78, 17], Operations: [] Exploring Operation: 68-53=15, Resulting Numbers: [78, 17, 15] Generated Node #2: [78, 17, 15] from Operation: 68-53=15 Current State: 46:[78, 17, 15], Operations: ['68-53=15'] Exploring Operation: 78-17=61, Resulting Numbers: [15, 61] Generated Node #3: [15, 61] from Operation: 78-17=61 Current State: 46:[15, 61], Operations: ['68-53=15', '78-17=61'] Exploring Operation: 61-15=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 82, 50, 36, 5 ]
36
[ "82-36=46", "50/5=10", "46-10=36" ]
Current State: 36:[82, 50, 36, 5], Operations: [] Exploring Operation: 82-36=46, Resulting Numbers: [50, 5, 46] Generated Node #2: [50, 5, 46] from Operation: 82-36=46 Current State: 36:[50, 5, 46], Operations: ['82-36=46'] Exploring Operation: 50/5=10, Resulting Numbers: [46, 10] Generated Node #3: [46, 10] from Operation: 50/5=10 Current State: 36:[46, 10], Operations: ['82-36=46', '50/5=10'] Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 28, 84, 58, 89 ]
85
[ "84/28=3", "58*3=174", "174-89=85" ]
Current State: 85:[28, 84, 58, 89], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [58, 89, 3] Generated Node #2: [58, 89, 3] from Operation: 84/28=3 Current State: 85:[58, 89, 3], Operations: ['84/28=3'] Exploring Operation: 58*3=174, Resulting Numbers: [89, 174] Generated Node #3: [89, 174] from Operation: 58*3=174 Current State: 85:[89, 174], Operations: ['84/28=3', '58*3=174'] Exploring Operation: 174-89=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 2, 67, 31, 19 ]
34
[ "67-31=36", "36-19=17", "2*17=34" ]
Current State: 34:[2, 67, 31, 19], Operations: [] Exploring Operation: 67-31=36, Resulting Numbers: [2, 19, 36] Generated Node #2: [2, 19, 36] from Operation: 67-31=36 Current State: 34:[2, 19, 36], Operations: ['67-31=36'] Exploring Operation: 36-19=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 36-19=17 Current State: 34:[2, 17], Operations: ['67-31=36', '36-19=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 16, 20, 34, 31 ]
76
[ "16*34=544", "20*31=620", "620-544=76" ]
Current State: 76:[16, 20, 34, 31], Operations: [] Exploring Operation: 16*34=544, Resulting Numbers: [20, 31, 544] Generated Node #2: [20, 31, 544] from Operation: 16*34=544 Current State: 76:[20, 31, 544], Operations: ['16*34=544'] Exploring Operation: 20*31=620, Resulting Numbers: [544, 620] Generated Node #3: [544, 620] from Operation: 20*31=620 Current State: 76:[544, 620], Operations: ['16*34=544', '20*31=620'] Exploring Operation: 620-544=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 68, 22, 75, 15 ]
41
[ "68-22=46", "75/15=5", "46-5=41" ]
Current State: 41:[68, 22, 75, 15], Operations: [] Exploring Operation: 68-22=46, Resulting Numbers: [75, 15, 46] Generated Node #2: [75, 15, 46] from Operation: 68-22=46 Current State: 41:[75, 15, 46], Operations: ['68-22=46'] Exploring Operation: 75/15=5, Resulting Numbers: [46, 5] Generated Node #3: [46, 5] from Operation: 75/15=5 Current State: 41:[46, 5], Operations: ['68-22=46', '75/15=5'] Exploring Operation: 46-5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4