Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 32, 8, 60, 32 ]
52
[ "32+8=40", "60+32=92", "92-40=52" ]
Current State: 52:[32, 8, 60, 32], Operations: [] Exploring Operation: 32+8=40, Resulting Numbers: [60, 40] Generated Node #2: [60, 40] from Operation: 32+8=40 Current State: 52:[60, 40], Operations: ['32+8=40'] Exploring Operation: 60+32=92, Resulting Numbers: [40, 92] Generated Node #3: [40, 92] from Operation: 60+32=92 Current State: 52:[40, 92], Operations: ['32+8=40', '60+32=92'] Exploring Operation: 92-40=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 27, 65, 68, 4 ]
84
[ "65-27=38", "4*38=152", "152-68=84" ]
Current State: 84:[27, 65, 68, 4], Operations: [] Exploring Operation: 65-27=38, Resulting Numbers: [68, 4, 38] Generated Node #2: [68, 4, 38] from Operation: 65-27=38 Current State: 84:[68, 4, 38], Operations: ['65-27=38'] Exploring Operation: 4*38=152, Resulting Numbers: [68, 152] Generated Node #3: [68, 152] from Operation: 4*38=152 Current State: 84:[68, 152], Operations: ['65-27=38', '4*38=152'] Exploring Operation: 152-68=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 68, 23, 21, 20 ]
54
[ "23-21=2", "68/2=34", "20+34=54" ]
Current State: 54:[68, 23, 21, 20], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [68, 20, 2] Generated Node #2: [68, 20, 2] from Operation: 23-21=2 Current State: 54:[68, 20, 2], Operations: ['23-21=2'] Exploring Operation: 68/2=34, Resulting Numbers: [20, 34] Generated Node #3: [20, 34] from Operation: 68/2=34 Current State: 54:[20, 34], Operations: ['23-21=2', '68/2=34'] Exploring Operation: 20+34=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 18, 6, 86, 62 ]
27
[ "18/6=3", "86-62=24", "3+24=27" ]
Current State: 27:[18, 6, 86, 62], Operations: [] Exploring Operation: 18/6=3, Resulting Numbers: [86, 62, 3] Generated Node #2: [86, 62, 3] from Operation: 18/6=3 Current State: 27:[86, 62, 3], Operations: ['18/6=3'] Exploring Operation: 86-62=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 86-62=24 Current State: 27:[3, 24], Operations: ['18/6=3', '86-62=24'] Exploring Operation: 3+24=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 70, 34, 2, 38 ]
34
[ "70-34=36", "2*36=72", "72-38=34" ]
Current State: 34:[70, 34, 2, 38], Operations: [] Exploring Operation: 70-34=36, Resulting Numbers: [2, 38, 36] Generated Node #2: [2, 38, 36] from Operation: 70-34=36 Current State: 34:[2, 38, 36], Operations: ['70-34=36'] Exploring Operation: 2*36=72, Resulting Numbers: [38, 72] Generated Node #3: [38, 72] from Operation: 2*36=72 Current State: 34:[38, 72], Operations: ['70-34=36', '2*36=72'] Exploring Operation: 72-38=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 15, 13, 21, 4 ]
17
[ "21-13=8", "4*8=32", "32-15=17" ]
Current State: 17:[15, 13, 21, 4], Operations: [] Exploring Operation: 21-13=8, Resulting Numbers: [15, 4, 8] Generated Node #2: [15, 4, 8] from Operation: 21-13=8 Current State: 17:[15, 4, 8], Operations: ['21-13=8'] Exploring Operation: 4*8=32, Resulting Numbers: [15, 32] Generated Node #3: [15, 32] from Operation: 4*8=32 Current State: 17:[15, 32], Operations: ['21-13=8', '4*8=32'] Exploring Operation: 32-15=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 11, 5, 41, 86 ]
99
[ "86-41=45", "11*45=495", "495/5=99" ]
Current State: 99:[11, 5, 41, 86], Operations: [] Exploring Operation: 86-41=45, Resulting Numbers: [11, 5, 45] Generated Node #2: [11, 5, 45] from Operation: 86-41=45 Current State: 99:[11, 5, 45], Operations: ['86-41=45'] Exploring Operation: 11*45=495, Resulting Numbers: [5, 495] Generated Node #3: [5, 495] from Operation: 11*45=495 Current State: 99:[5, 495], Operations: ['86-41=45', '11*45=495'] Exploring Operation: 495/5=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 76, 17, 66, 66 ]
93
[ "76+17=93", "66-66=0", "93+0=93" ]
Current State: 93:[76, 17, 66, 66], Operations: [] Exploring Operation: 76+17=93, Resulting Numbers: [66, 66, 93] Generated Node #2: [66, 66, 93] from Operation: 76+17=93 Current State: 93:[66, 66, 93], Operations: ['76+17=93'] Exploring Operation: 66-66=0, Resulting Numbers: [93, 0] Generated Node #3: [93, 0] from Operation: 66-66=0 Current State: 93:[93, 0], Operations: ['76+17=93', '66-66=0'] Exploring Operation: 93+0=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 60, 89, 48, 55 ]
57
[ "89+55=144", "144/48=3", "60-3=57" ]
Current State: 57:[60, 89, 48, 55], Operations: [] Exploring Operation: 89+55=144, Resulting Numbers: [60, 48, 144] Generated Node #2: [60, 48, 144] from Operation: 89+55=144 Current State: 57:[60, 48, 144], Operations: ['89+55=144'] Exploring Operation: 144/48=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 144/48=3 Current State: 57:[60, 3], Operations: ['89+55=144', '144/48=3'] Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 7, 10, 14, 99 ]
69
[ "10+14=24", "7*24=168", "168-99=69" ]
Current State: 69:[7, 10, 14, 99], Operations: [] Exploring Operation: 10+14=24, Resulting Numbers: [7, 99, 24] Generated Node #2: [7, 99, 24] from Operation: 10+14=24 Current State: 69:[7, 99, 24], Operations: ['10+14=24'] Exploring Operation: 7*24=168, Resulting Numbers: [99, 168] Generated Node #3: [99, 168] from Operation: 7*24=168 Current State: 69:[99, 168], Operations: ['10+14=24', '7*24=168'] Exploring Operation: 168-99=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 22, 70, 9, 16 ]
99
[ "22+70=92", "16-9=7", "92+7=99" ]
Current State: 99:[22, 70, 9, 16], Operations: [] Exploring Operation: 22+70=92, Resulting Numbers: [9, 16, 92] Generated Node #2: [9, 16, 92] from Operation: 22+70=92 Current State: 99:[9, 16, 92], Operations: ['22+70=92'] Exploring Operation: 16-9=7, Resulting Numbers: [92, 7] Generated Node #3: [92, 7] from Operation: 16-9=7 Current State: 99:[92, 7], Operations: ['22+70=92', '16-9=7'] Exploring Operation: 92+7=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 27, 6, 2, 72 ]
57
[ "27-6=21", "72/2=36", "21+36=57" ]
Current State: 57:[27, 6, 2, 72], Operations: [] Exploring Operation: 27-6=21, Resulting Numbers: [2, 72, 21] Generated Node #2: [2, 72, 21] from Operation: 27-6=21 Current State: 57:[2, 72, 21], Operations: ['27-6=21'] Exploring Operation: 72/2=36, Resulting Numbers: [21, 36] Generated Node #3: [21, 36] from Operation: 72/2=36 Current State: 57:[21, 36], Operations: ['27-6=21', '72/2=36'] Exploring Operation: 21+36=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 53, 89, 51, 49 ]
87
[ "53+49=102", "102/51=2", "89-2=87" ]
Current State: 87:[53, 89, 51, 49], Operations: [] Exploring Operation: 53+49=102, Resulting Numbers: [89, 51, 102] Generated Node #2: [89, 51, 102] from Operation: 53+49=102 Current State: 87:[89, 51, 102], Operations: ['53+49=102'] Exploring Operation: 102/51=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 102/51=2 Current State: 87:[89, 2], Operations: ['53+49=102', '102/51=2'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 18, 85, 69, 37 ]
39
[ "85-18=67", "69+37=106", "106-67=39" ]
Current State: 39:[18, 85, 69, 37], Operations: [] Exploring Operation: 85-18=67, Resulting Numbers: [69, 37, 67] Generated Node #2: [69, 37, 67] from Operation: 85-18=67 Current State: 39:[69, 37, 67], Operations: ['85-18=67'] Exploring Operation: 69+37=106, Resulting Numbers: [67, 106] Generated Node #3: [67, 106] from Operation: 69+37=106 Current State: 39:[67, 106], Operations: ['85-18=67', '69+37=106'] Exploring Operation: 106-67=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 40, 36, 12, 82 ]
63
[ "82-12=70", "36*70=2520", "2520/40=63" ]
Current State: 63:[40, 36, 12, 82], Operations: [] Exploring Operation: 82-12=70, Resulting Numbers: [40, 36, 70] Generated Node #2: [40, 36, 70] from Operation: 82-12=70 Current State: 63:[40, 36, 70], Operations: ['82-12=70'] Exploring Operation: 36*70=2520, Resulting Numbers: [40, 2520] Generated Node #3: [40, 2520] from Operation: 36*70=2520 Current State: 63:[40, 2520], Operations: ['82-12=70', '36*70=2520'] Exploring Operation: 2520/40=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 36, 69, 16, 67 ]
68
[ "69-67=2", "16*2=32", "36+32=68" ]
Current State: 68:[36, 69, 16, 67], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [36, 16, 2] Generated Node #2: [36, 16, 2] from Operation: 69-67=2 Current State: 68:[36, 16, 2], Operations: ['69-67=2'] Exploring Operation: 16*2=32, Resulting Numbers: [36, 32] Generated Node #3: [36, 32] from Operation: 16*2=32 Current State: 68:[36, 32], Operations: ['69-67=2', '16*2=32'] Exploring Operation: 36+32=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 50, 58, 53, 32 ]
81
[ "50*53=2650", "2650-58=2592", "2592/32=81" ]
Current State: 81:[50, 58, 53, 32], Operations: [] Exploring Operation: 50*53=2650, Resulting Numbers: [58, 32, 2650] Generated Node #2: [58, 32, 2650] from Operation: 50*53=2650 Current State: 81:[58, 32, 2650], Operations: ['50*53=2650'] Exploring Operation: 2650-58=2592, Resulting Numbers: [32, 2592] Generated Node #3: [32, 2592] from Operation: 2650-58=2592 Current State: 81:[32, 2592], Operations: ['50*53=2650', '2650-58=2592'] Exploring Operation: 2592/32=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 93, 25, 53, 32 ]
47
[ "93-25=68", "53-32=21", "68-21=47" ]
Current State: 47:[93, 25, 53, 32], Operations: [] Exploring Operation: 93-25=68, Resulting Numbers: [53, 32, 68] Generated Node #2: [53, 32, 68] from Operation: 93-25=68 Current State: 47:[53, 32, 68], Operations: ['93-25=68'] Exploring Operation: 53-32=21, Resulting Numbers: [68, 21] Generated Node #3: [68, 21] from Operation: 53-32=21 Current State: 47:[68, 21], Operations: ['93-25=68', '53-32=21'] Exploring Operation: 68-21=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 38, 80, 97, 33 ]
88
[ "80-38=42", "97+33=130", "130-42=88" ]
Current State: 88:[38, 80, 97, 33], Operations: [] Exploring Operation: 80-38=42, Resulting Numbers: [97, 33, 42] Generated Node #2: [97, 33, 42] from Operation: 80-38=42 Current State: 88:[97, 33, 42], Operations: ['80-38=42'] Exploring Operation: 97+33=130, Resulting Numbers: [42, 130] Generated Node #3: [42, 130] from Operation: 97+33=130 Current State: 88:[42, 130], Operations: ['80-38=42', '97+33=130'] Exploring Operation: 130-42=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 87, 20, 23, 90 ]
37
[ "90-87=3", "20*3=60", "60-23=37" ]
Current State: 37:[87, 20, 23, 90], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [20, 23, 3] Generated Node #2: [20, 23, 3] from Operation: 90-87=3 Current State: 37:[20, 23, 3], Operations: ['90-87=3'] Exploring Operation: 20*3=60, Resulting Numbers: [23, 60] Generated Node #3: [23, 60] from Operation: 20*3=60 Current State: 37:[23, 60], Operations: ['90-87=3', '20*3=60'] Exploring Operation: 60-23=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 98, 16, 13, 62 ]
39
[ "98+16=114", "13+62=75", "114-75=39" ]
Current State: 39:[98, 16, 13, 62], Operations: [] Exploring Operation: 98+16=114, Resulting Numbers: [13, 62, 114] Generated Node #2: [13, 62, 114] from Operation: 98+16=114 Current State: 39:[13, 62, 114], Operations: ['98+16=114'] Exploring Operation: 13+62=75, Resulting Numbers: [114, 75] Generated Node #3: [114, 75] from Operation: 13+62=75 Current State: 39:[114, 75], Operations: ['98+16=114', '13+62=75'] Exploring Operation: 114-75=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 95, 1, 6, 85 ]
69
[ "95+1=96", "96/6=16", "85-16=69" ]
Current State: 69:[95, 1, 6, 85], Operations: [] Exploring Operation: 95+1=96, Resulting Numbers: [6, 85, 96] Generated Node #2: [6, 85, 96] from Operation: 95+1=96 Current State: 69:[6, 85, 96], Operations: ['95+1=96'] Exploring Operation: 96/6=16, Resulting Numbers: [85, 16] Generated Node #3: [85, 16] from Operation: 96/6=16 Current State: 69:[85, 16], Operations: ['95+1=96', '96/6=16'] Exploring Operation: 85-16=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 22, 42, 22, 95 ]
53
[ "22+42=64", "22+95=117", "117-64=53" ]
Current State: 53:[22, 42, 22, 95], Operations: [] Exploring Operation: 22+42=64, Resulting Numbers: [95, 64] Generated Node #2: [95, 64] from Operation: 22+42=64 Current State: 53:[95, 64], Operations: ['22+42=64'] Exploring Operation: 22+95=117, Resulting Numbers: [64, 117] Generated Node #3: [64, 117] from Operation: 22+95=117 Current State: 53:[64, 117], Operations: ['22+42=64', '22+95=117'] Exploring Operation: 117-64=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 95, 6, 45, 15 ]
83
[ "95*6=570", "570/15=38", "45+38=83" ]
Current State: 83:[95, 6, 45, 15], Operations: [] Exploring Operation: 95*6=570, Resulting Numbers: [45, 15, 570] Generated Node #2: [45, 15, 570] from Operation: 95*6=570 Current State: 83:[45, 15, 570], Operations: ['95*6=570'] Exploring Operation: 570/15=38, Resulting Numbers: [45, 38] Generated Node #3: [45, 38] from Operation: 570/15=38 Current State: 83:[45, 38], Operations: ['95*6=570', '570/15=38'] Exploring Operation: 45+38=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 10, 42, 46, 42 ]
37
[ "46-10=36", "42/42=1", "36+1=37" ]
Current State: 37:[10, 42, 46, 42], Operations: [] Exploring Operation: 46-10=36, Resulting Numbers: [42, 42, 36] Generated Node #2: [42, 42, 36] from Operation: 46-10=36 Current State: 37:[42, 42, 36], Operations: ['46-10=36'] Exploring Operation: 42/42=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 42/42=1 Current State: 37:[36, 1], Operations: ['46-10=36', '42/42=1'] Exploring Operation: 36+1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 18, 4, 10, 98 ]
86
[ "18+4=22", "10+98=108", "108-22=86" ]
Current State: 86:[18, 4, 10, 98], Operations: [] Exploring Operation: 18+4=22, Resulting Numbers: [10, 98, 22] Generated Node #2: [10, 98, 22] from Operation: 18+4=22 Current State: 86:[10, 98, 22], Operations: ['18+4=22'] Exploring Operation: 10+98=108, Resulting Numbers: [22, 108] Generated Node #3: [22, 108] from Operation: 10+98=108 Current State: 86:[22, 108], Operations: ['18+4=22', '10+98=108'] Exploring Operation: 108-22=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 56, 87, 19, 87 ]
74
[ "56+19=75", "87/87=1", "75-1=74" ]
Current State: 74:[56, 87, 19, 87], Operations: [] Exploring Operation: 56+19=75, Resulting Numbers: [87, 87, 75] Generated Node #2: [87, 87, 75] from Operation: 56+19=75 Current State: 74:[87, 87, 75], Operations: ['56+19=75'] Exploring Operation: 87/87=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 87/87=1 Current State: 74:[75, 1], Operations: ['56+19=75', '87/87=1'] Exploring Operation: 75-1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 88, 50, 27, 44 ]
22
[ "27*44=1188", "1188-88=1100", "1100/50=22" ]
Current State: 22:[88, 50, 27, 44], Operations: [] Exploring Operation: 27*44=1188, Resulting Numbers: [88, 50, 1188] Generated Node #2: [88, 50, 1188] from Operation: 27*44=1188 Current State: 22:[88, 50, 1188], Operations: ['27*44=1188'] Exploring Operation: 1188-88=1100, Resulting Numbers: [50, 1100] Generated Node #3: [50, 1100] from Operation: 1188-88=1100 Current State: 22:[50, 1100], Operations: ['27*44=1188', '1188-88=1100'] Exploring Operation: 1100/50=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 9, 44, 65, 70 ]
89
[ "70-65=5", "9*5=45", "44+45=89" ]
Current State: 89:[9, 44, 65, 70], Operations: [] Exploring Operation: 70-65=5, Resulting Numbers: [9, 44, 5] Generated Node #2: [9, 44, 5] from Operation: 70-65=5 Current State: 89:[9, 44, 5], Operations: ['70-65=5'] Exploring Operation: 9*5=45, Resulting Numbers: [44, 45] Generated Node #3: [44, 45] from Operation: 9*5=45 Current State: 89:[44, 45], Operations: ['70-65=5', '9*5=45'] Exploring Operation: 44+45=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 98, 2, 57, 30 ]
95
[ "98+57=155", "2*30=60", "155-60=95" ]
Current State: 95:[98, 2, 57, 30], Operations: [] Exploring Operation: 98+57=155, Resulting Numbers: [2, 30, 155] Generated Node #2: [2, 30, 155] from Operation: 98+57=155 Current State: 95:[2, 30, 155], Operations: ['98+57=155'] Exploring Operation: 2*30=60, Resulting Numbers: [155, 60] Generated Node #3: [155, 60] from Operation: 2*30=60 Current State: 95:[155, 60], Operations: ['98+57=155', '2*30=60'] Exploring Operation: 155-60=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 13, 39, 31, 16 ]
11
[ "13*39=507", "31*16=496", "507-496=11" ]
Current State: 11:[13, 39, 31, 16], Operations: [] Exploring Operation: 13*39=507, Resulting Numbers: [31, 16, 507] Generated Node #2: [31, 16, 507] from Operation: 13*39=507 Current State: 11:[31, 16, 507], Operations: ['13*39=507'] Exploring Operation: 31*16=496, Resulting Numbers: [507, 496] Generated Node #3: [507, 496] from Operation: 31*16=496 Current State: 11:[507, 496], Operations: ['13*39=507', '31*16=496'] Exploring Operation: 507-496=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 45, 4, 35, 33 ]
52
[ "45+35=80", "4*33=132", "132-80=52" ]
Current State: 52:[45, 4, 35, 33], Operations: [] Exploring Operation: 45+35=80, Resulting Numbers: [4, 33, 80] Generated Node #2: [4, 33, 80] from Operation: 45+35=80 Current State: 52:[4, 33, 80], Operations: ['45+35=80'] Exploring Operation: 4*33=132, Resulting Numbers: [80, 132] Generated Node #3: [80, 132] from Operation: 4*33=132 Current State: 52:[80, 132], Operations: ['45+35=80', '4*33=132'] Exploring Operation: 132-80=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 93, 99, 21, 97 ]
70
[ "99-93=6", "97-21=76", "76-6=70" ]
Current State: 70:[93, 99, 21, 97], Operations: [] Exploring Operation: 99-93=6, Resulting Numbers: [21, 97, 6] Generated Node #2: [21, 97, 6] from Operation: 99-93=6 Current State: 70:[21, 97, 6], Operations: ['99-93=6'] Exploring Operation: 97-21=76, Resulting Numbers: [6, 76] Generated Node #3: [6, 76] from Operation: 97-21=76 Current State: 70:[6, 76], Operations: ['99-93=6', '97-21=76'] Exploring Operation: 76-6=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 51, 26, 80, 79 ]
40
[ "51+26=77", "79-77=2", "80/2=40" ]
Current State: 40:[51, 26, 80, 79], Operations: [] Exploring Operation: 51+26=77, Resulting Numbers: [80, 79, 77] Generated Node #2: [80, 79, 77] from Operation: 51+26=77 Current State: 40:[80, 79, 77], Operations: ['51+26=77'] Exploring Operation: 79-77=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 79-77=2 Current State: 40:[80, 2], Operations: ['51+26=77', '79-77=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 10, 50, 34, 62 ]
86
[ "62-50=12", "10*12=120", "120-34=86" ]
Current State: 86:[10, 50, 34, 62], Operations: [] Exploring Operation: 62-50=12, Resulting Numbers: [10, 34, 12] Generated Node #2: [10, 34, 12] from Operation: 62-50=12 Current State: 86:[10, 34, 12], Operations: ['62-50=12'] Exploring Operation: 10*12=120, Resulting Numbers: [34, 120] Generated Node #3: [34, 120] from Operation: 10*12=120 Current State: 86:[34, 120], Operations: ['62-50=12', '10*12=120'] Exploring Operation: 120-34=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 76, 25, 73, 25 ]
100
[ "76-73=3", "25*3=75", "25+75=100" ]
Current State: 100:[76, 25, 73, 25], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [25, 25, 3] Generated Node #2: [25, 25, 3] from Operation: 76-73=3 Current State: 100:[25, 25, 3], Operations: ['76-73=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,100 equal: Goal Reached Exploring Operation: 25+75=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 50, 48, 5, 86 ]
28
[ "50/5=10", "86-48=38", "38-10=28" ]
Current State: 28:[50, 48, 5, 86], Operations: [] Exploring Operation: 50/5=10, Resulting Numbers: [48, 86, 10] Generated Node #2: [48, 86, 10] from Operation: 50/5=10 Current State: 28:[48, 86, 10], Operations: ['50/5=10'] Exploring Operation: 86-48=38, Resulting Numbers: [10, 38] Generated Node #3: [10, 38] from Operation: 86-48=38 Current State: 28:[10, 38], Operations: ['50/5=10', '86-48=38'] Exploring Operation: 38-10=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 6, 29, 66, 66 ]
36
[ "6+29=35", "66/66=1", "35+1=36" ]
Current State: 36:[6, 29, 66, 66], Operations: [] Exploring Operation: 6+29=35, Resulting Numbers: [66, 66, 35] Generated Node #2: [66, 66, 35] from Operation: 6+29=35 Current State: 36:[66, 66, 35], Operations: ['6+29=35'] Exploring Operation: 66/66=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 66/66=1 Current State: 36:[35, 1], Operations: ['6+29=35', '66/66=1'] Exploring Operation: 35+1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 92, 1, 25, 49 ]
94
[ "1+49=50", "50/25=2", "92+2=94" ]
Current State: 94:[92, 1, 25, 49], Operations: [] Exploring Operation: 1+49=50, Resulting Numbers: [92, 25, 50] Generated Node #2: [92, 25, 50] from Operation: 1+49=50 Current State: 94:[92, 25, 50], Operations: ['1+49=50'] Exploring Operation: 50/25=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 50/25=2 Current State: 94:[92, 2], Operations: ['1+49=50', '50/25=2'] Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 50, 95, 98, 40 ]
22
[ "95*40=3800", "3800/50=76", "98-76=22" ]
Current State: 22:[50, 95, 98, 40], Operations: [] Exploring Operation: 95*40=3800, Resulting Numbers: [50, 98, 3800] Generated Node #2: [50, 98, 3800] from Operation: 95*40=3800 Current State: 22:[50, 98, 3800], Operations: ['95*40=3800'] Exploring Operation: 3800/50=76, Resulting Numbers: [98, 76] Generated Node #3: [98, 76] from Operation: 3800/50=76 Current State: 22:[98, 76], Operations: ['95*40=3800', '3800/50=76'] Exploring Operation: 98-76=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 4, 30, 71, 48 ]
97
[ "4*30=120", "71-48=23", "120-23=97" ]
Current State: 97:[4, 30, 71, 48], Operations: [] Exploring Operation: 4*30=120, Resulting Numbers: [71, 48, 120] Generated Node #2: [71, 48, 120] from Operation: 4*30=120 Current State: 97:[71, 48, 120], Operations: ['4*30=120'] Exploring Operation: 71-48=23, Resulting Numbers: [120, 23] Generated Node #3: [120, 23] from Operation: 71-48=23 Current State: 97:[120, 23], Operations: ['4*30=120', '71-48=23'] Exploring Operation: 120-23=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 79, 11, 8, 36 ]
27
[ "79+36=115", "11*8=88", "115-88=27" ]
Current State: 27:[79, 11, 8, 36], Operations: [] Exploring Operation: 79+36=115, Resulting Numbers: [11, 8, 115] Generated Node #2: [11, 8, 115] from Operation: 79+36=115 Current State: 27:[11, 8, 115], Operations: ['79+36=115'] Exploring Operation: 11*8=88, Resulting Numbers: [115, 88] Generated Node #3: [115, 88] from Operation: 11*8=88 Current State: 27:[115, 88], Operations: ['79+36=115', '11*8=88'] Exploring Operation: 115-88=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 34, 20, 58, 65 ]
21
[ "34-20=14", "65-58=7", "14+7=21" ]
Current State: 21:[34, 20, 58, 65], Operations: [] Exploring Operation: 34-20=14, Resulting Numbers: [58, 65, 14] Generated Node #2: [58, 65, 14] from Operation: 34-20=14 Current State: 21:[58, 65, 14], Operations: ['34-20=14'] Exploring Operation: 65-58=7, Resulting Numbers: [14, 7] Generated Node #3: [14, 7] from Operation: 65-58=7 Current State: 21:[14, 7], Operations: ['34-20=14', '65-58=7'] Exploring Operation: 14+7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 70, 94, 64, 7 ]
81
[ "94-70=24", "64-7=57", "24+57=81" ]
Current State: 81:[70, 94, 64, 7], Operations: [] Exploring Operation: 94-70=24, Resulting Numbers: [64, 7, 24] Generated Node #2: [64, 7, 24] from Operation: 94-70=24 Current State: 81:[64, 7, 24], Operations: ['94-70=24'] Exploring Operation: 64-7=57, Resulting Numbers: [24, 57] Generated Node #3: [24, 57] from Operation: 64-7=57 Current State: 81:[24, 57], Operations: ['94-70=24', '64-7=57'] Exploring Operation: 24+57=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 73, 43, 59, 22 ]
49
[ "73+59=132", "132/22=6", "43+6=49" ]
Current State: 49:[73, 43, 59, 22], Operations: [] Exploring Operation: 73+59=132, Resulting Numbers: [43, 22, 132] Generated Node #2: [43, 22, 132] from Operation: 73+59=132 Current State: 49:[43, 22, 132], Operations: ['73+59=132'] Exploring Operation: 132/22=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 132/22=6 Current State: 49:[43, 6], Operations: ['73+59=132', '132/22=6'] Exploring Operation: 43+6=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 1, 28, 31, 10 ]
50
[ "1+28=29", "31-10=21", "29+21=50" ]
Current State: 50:[1, 28, 31, 10], Operations: [] Exploring Operation: 1+28=29, Resulting Numbers: [31, 10, 29] Generated Node #2: [31, 10, 29] from Operation: 1+28=29 Current State: 50:[31, 10, 29], Operations: ['1+28=29'] Exploring Operation: 31-10=21, Resulting Numbers: [29, 21] Generated Node #3: [29, 21] from Operation: 31-10=21 Current State: 50:[29, 21], Operations: ['1+28=29', '31-10=21'] Exploring Operation: 29+21=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 49, 47, 98, 22 ]
60
[ "49-47=2", "98+22=120", "120/2=60" ]
Current State: 60:[49, 47, 98, 22], Operations: [] Exploring Operation: 49-47=2, Resulting Numbers: [98, 22, 2] Generated Node #2: [98, 22, 2] from Operation: 49-47=2 Current State: 60:[98, 22, 2], Operations: ['49-47=2'] Exploring Operation: 98+22=120, Resulting Numbers: [2, 120] Generated Node #3: [2, 120] from Operation: 98+22=120 Current State: 60:[2, 120], Operations: ['49-47=2', '98+22=120'] Exploring Operation: 120/2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 64, 89, 70, 7 ]
47
[ "70-64=6", "7*6=42", "89-42=47" ]
Current State: 47:[64, 89, 70, 7], Operations: [] Exploring Operation: 70-64=6, Resulting Numbers: [89, 7, 6] Generated Node #2: [89, 7, 6] from Operation: 70-64=6 Current State: 47:[89, 7, 6], Operations: ['70-64=6'] Exploring Operation: 7*6=42, Resulting Numbers: [89, 42] Generated Node #3: [89, 42] from Operation: 7*6=42 Current State: 47:[89, 42], Operations: ['70-64=6', '7*6=42'] Exploring Operation: 89-42=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 41, 78, 39, 38 ]
58
[ "41-39=2", "78+38=116", "116/2=58" ]
Current State: 58:[41, 78, 39, 38], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [78, 38, 2] Generated Node #2: [78, 38, 2] from Operation: 41-39=2 Current State: 58:[78, 38, 2], Operations: ['41-39=2'] Exploring Operation: 78+38=116, Resulting Numbers: [2, 116] Generated Node #3: [2, 116] from Operation: 78+38=116 Current State: 58:[2, 116], Operations: ['41-39=2', '78+38=116'] Exploring Operation: 116/2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 27, 83, 52, 51 ]
47
[ "83-27=56", "52+51=103", "103-56=47" ]
Current State: 47:[27, 83, 52, 51], Operations: [] Exploring Operation: 83-27=56, Resulting Numbers: [52, 51, 56] Generated Node #2: [52, 51, 56] from Operation: 83-27=56 Current State: 47:[52, 51, 56], Operations: ['83-27=56'] Exploring Operation: 52+51=103, Resulting Numbers: [56, 103] Generated Node #3: [56, 103] from Operation: 52+51=103 Current State: 47:[56, 103], Operations: ['83-27=56', '52+51=103'] Exploring Operation: 103-56=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 69, 41, 44, 3 ]
13
[ "69-41=28", "44-3=41", "41-28=13" ]
Current State: 13:[69, 41, 44, 3], Operations: [] Exploring Operation: 69-41=28, Resulting Numbers: [44, 3, 28] Generated Node #2: [44, 3, 28] from Operation: 69-41=28 Current State: 13:[44, 3, 28], Operations: ['69-41=28'] Exploring Operation: 44-3=41, Resulting Numbers: [28, 41] Generated Node #3: [28, 41] from Operation: 44-3=41 Current State: 13:[28, 41], Operations: ['69-41=28', '44-3=41'] Exploring Operation: 41-28=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 70, 27, 67, 88 ]
64
[ "70-27=43", "88-67=21", "43+21=64" ]
Current State: 64:[70, 27, 67, 88], Operations: [] Exploring Operation: 70-27=43, Resulting Numbers: [67, 88, 43] Generated Node #2: [67, 88, 43] from Operation: 70-27=43 Current State: 64:[67, 88, 43], Operations: ['70-27=43'] Exploring Operation: 88-67=21, Resulting Numbers: [43, 21] Generated Node #3: [43, 21] from Operation: 88-67=21 Current State: 64:[43, 21], Operations: ['70-27=43', '88-67=21'] Exploring Operation: 43+21=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 73, 45, 25, 80 ]
69
[ "45-25=20", "80/20=4", "73-4=69" ]
Current State: 69:[73, 45, 25, 80], Operations: [] Exploring Operation: 45-25=20, Resulting Numbers: [73, 80, 20] Generated Node #2: [73, 80, 20] from Operation: 45-25=20 Current State: 69:[73, 80, 20], Operations: ['45-25=20'] Exploring Operation: 80/20=4, Resulting Numbers: [73, 4] Generated Node #3: [73, 4] from Operation: 80/20=4 Current State: 69:[73, 4], Operations: ['45-25=20', '80/20=4'] Exploring Operation: 73-4=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 92, 33, 32, 41 ]
51
[ "92-41=51", "33-32=1", "51*1=51" ]
Current State: 51:[92, 33, 32, 41], Operations: [] Exploring Operation: 92-41=51, Resulting Numbers: [33, 32, 51] Generated Node #2: [33, 32, 51] from Operation: 92-41=51 Current State: 51:[33, 32, 51], Operations: ['92-41=51'] Exploring Operation: 33-32=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 33-32=1 Current State: 51:[51, 1], Operations: ['92-41=51', '33-32=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 31, 3, 14, 26 ]
52
[ "31-3=28", "28/14=2", "26*2=52" ]
Current State: 52:[31, 3, 14, 26], Operations: [] Exploring Operation: 31-3=28, Resulting Numbers: [14, 26, 28] Generated Node #2: [14, 26, 28] from Operation: 31-3=28 Current State: 52:[14, 26, 28], Operations: ['31-3=28'] Exploring Operation: 28/14=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 28/14=2 Current State: 52:[26, 2], Operations: ['31-3=28', '28/14=2'] Exploring Operation: 26*2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 56, 70, 81, 34 ]
79
[ "56+70=126", "81-34=47", "126-47=79" ]
Current State: 79:[56, 70, 81, 34], Operations: [] Exploring Operation: 56+70=126, Resulting Numbers: [81, 34, 126] Generated Node #2: [81, 34, 126] from Operation: 56+70=126 Current State: 79:[81, 34, 126], Operations: ['56+70=126'] Exploring Operation: 81-34=47, Resulting Numbers: [126, 47] Generated Node #3: [126, 47] from Operation: 81-34=47 Current State: 79:[126, 47], Operations: ['56+70=126', '81-34=47'] Exploring Operation: 126-47=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 85, 81, 36, 84 ]
57
[ "85-81=4", "84/4=21", "36+21=57" ]
Current State: 57:[85, 81, 36, 84], Operations: [] Exploring Operation: 85-81=4, Resulting Numbers: [36, 84, 4] Generated Node #2: [36, 84, 4] from Operation: 85-81=4 Current State: 57:[36, 84, 4], Operations: ['85-81=4'] Exploring Operation: 84/4=21, Resulting Numbers: [36, 21] Generated Node #3: [36, 21] from Operation: 84/4=21 Current State: 57:[36, 21], Operations: ['85-81=4', '84/4=21'] Exploring Operation: 36+21=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 18, 31, 47, 73 ]
13
[ "31-18=13", "73-47=26", "26-13=13" ]
Current State: 13:[18, 31, 47, 73], Operations: [] Exploring Operation: 31-18=13, Resulting Numbers: [47, 73, 13] Generated Node #2: [47, 73, 13] from Operation: 31-18=13 Current State: 13:[47, 73, 13], Operations: ['31-18=13'] Exploring Operation: 73-47=26, Resulting Numbers: [13, 26] Generated Node #3: [13, 26] from Operation: 73-47=26 Current State: 13:[13, 26], Operations: ['31-18=13', '73-47=26'] Exploring Operation: 26-13=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 79, 40, 67, 2 ]
33
[ "79+67=146", "146/2=73", "73-40=33" ]
Current State: 33:[79, 40, 67, 2], Operations: [] Exploring Operation: 79+67=146, Resulting Numbers: [40, 2, 146] Generated Node #2: [40, 2, 146] from Operation: 79+67=146 Current State: 33:[40, 2, 146], Operations: ['79+67=146'] Exploring Operation: 146/2=73, Resulting Numbers: [40, 73] Generated Node #3: [40, 73] from Operation: 146/2=73 Current State: 33:[40, 73], Operations: ['79+67=146', '146/2=73'] Exploring Operation: 73-40=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 29, 38, 13, 57 ]
24
[ "29-13=16", "57*16=912", "912/38=24" ]
Current State: 24:[29, 38, 13, 57], Operations: [] Exploring Operation: 29-13=16, Resulting Numbers: [38, 57, 16] Generated Node #2: [38, 57, 16] from Operation: 29-13=16 Current State: 24:[38, 57, 16], Operations: ['29-13=16'] Exploring Operation: 57*16=912, Resulting Numbers: [38, 912] Generated Node #3: [38, 912] from Operation: 57*16=912 Current State: 24:[38, 912], Operations: ['29-13=16', '57*16=912'] Exploring Operation: 912/38=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 82, 45, 91, 1 ]
35
[ "82+45=127", "91+1=92", "127-92=35" ]
Current State: 35:[82, 45, 91, 1], Operations: [] Exploring Operation: 82+45=127, Resulting Numbers: [91, 1, 127] Generated Node #2: [91, 1, 127] from Operation: 82+45=127 Current State: 35:[91, 1, 127], Operations: ['82+45=127'] Exploring Operation: 91+1=92, Resulting Numbers: [127, 92] Generated Node #3: [127, 92] from Operation: 91+1=92 Current State: 35:[127, 92], Operations: ['82+45=127', '91+1=92'] Exploring Operation: 127-92=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 8, 91, 53, 37 ]
67
[ "91-8=83", "53-37=16", "83-16=67" ]
Current State: 67:[8, 91, 53, 37], Operations: [] Exploring Operation: 91-8=83, Resulting Numbers: [53, 37, 83] Generated Node #2: [53, 37, 83] from Operation: 91-8=83 Current State: 67:[53, 37, 83], Operations: ['91-8=83'] Exploring Operation: 53-37=16, Resulting Numbers: [83, 16] Generated Node #3: [83, 16] from Operation: 53-37=16 Current State: 67:[83, 16], Operations: ['91-8=83', '53-37=16'] Exploring Operation: 83-16=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 63, 38, 52, 94 ]
17
[ "63-38=25", "94-52=42", "42-25=17" ]
Current State: 17:[63, 38, 52, 94], Operations: [] Exploring Operation: 63-38=25, Resulting Numbers: [52, 94, 25] Generated Node #2: [52, 94, 25] from Operation: 63-38=25 Current State: 17:[52, 94, 25], Operations: ['63-38=25'] Exploring Operation: 94-52=42, Resulting Numbers: [25, 42] Generated Node #3: [25, 42] from Operation: 94-52=42 Current State: 17:[25, 42], Operations: ['63-38=25', '94-52=42'] Exploring Operation: 42-25=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 60, 52, 55, 41 ]
12
[ "60-52=8", "55+41=96", "96/8=12" ]
Current State: 12:[60, 52, 55, 41], Operations: [] Exploring Operation: 60-52=8, Resulting Numbers: [55, 41, 8] Generated Node #2: [55, 41, 8] from Operation: 60-52=8 Current State: 12:[55, 41, 8], Operations: ['60-52=8'] Exploring Operation: 55+41=96, Resulting Numbers: [8, 96] Generated Node #3: [8, 96] from Operation: 55+41=96 Current State: 12:[8, 96], Operations: ['60-52=8', '55+41=96'] Exploring Operation: 96/8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 41, 56, 94, 22 ]
57
[ "56-41=15", "94-22=72", "72-15=57" ]
Current State: 57:[41, 56, 94, 22], Operations: [] Exploring Operation: 56-41=15, Resulting Numbers: [94, 22, 15] Generated Node #2: [94, 22, 15] from Operation: 56-41=15 Current State: 57:[94, 22, 15], Operations: ['56-41=15'] Exploring Operation: 94-22=72, Resulting Numbers: [15, 72] Generated Node #3: [15, 72] from Operation: 94-22=72 Current State: 57:[15, 72], Operations: ['56-41=15', '94-22=72'] Exploring Operation: 72-15=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 72, 59, 12, 23 ]
96
[ "72+59=131", "12+23=35", "131-35=96" ]
Current State: 96:[72, 59, 12, 23], Operations: [] Exploring Operation: 72+59=131, Resulting Numbers: [12, 23, 131] Generated Node #2: [12, 23, 131] from Operation: 72+59=131 Current State: 96:[12, 23, 131], Operations: ['72+59=131'] Exploring Operation: 12+23=35, Resulting Numbers: [131, 35] Generated Node #3: [131, 35] from Operation: 12+23=35 Current State: 96:[131, 35], Operations: ['72+59=131', '12+23=35'] Exploring Operation: 131-35=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 30, 24, 18, 10 ]
15
[ "30-10=20", "18*20=360", "360/24=15" ]
Current State: 15:[30, 24, 18, 10], Operations: [] Exploring Operation: 30-10=20, Resulting Numbers: [24, 18, 20] Generated Node #2: [24, 18, 20] from Operation: 30-10=20 Current State: 15:[24, 18, 20], Operations: ['30-10=20'] Exploring Operation: 18*20=360, Resulting Numbers: [24, 360] Generated Node #3: [24, 360] from Operation: 18*20=360 Current State: 15:[24, 360], Operations: ['30-10=20', '18*20=360'] Exploring Operation: 360/24=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 78, 11, 96, 15 ]
33
[ "96-78=18", "18-15=3", "11*3=33" ]
Current State: 33:[78, 11, 96, 15], Operations: [] Exploring Operation: 96-78=18, Resulting Numbers: [11, 15, 18] Generated Node #2: [11, 15, 18] from Operation: 96-78=18 Current State: 33:[11, 15, 18], Operations: ['96-78=18'] Exploring Operation: 18-15=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 18-15=3 Current State: 33:[11, 3], Operations: ['96-78=18', '18-15=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 46, 24, 88, 2 ]
20
[ "46+24=70", "88+2=90", "90-70=20" ]
Current State: 20:[46, 24, 88, 2], Operations: [] Exploring Operation: 46+24=70, Resulting Numbers: [88, 2, 70] Generated Node #2: [88, 2, 70] from Operation: 46+24=70 Current State: 20:[88, 2, 70], Operations: ['46+24=70'] Exploring Operation: 88+2=90, Resulting Numbers: [70, 90] Generated Node #3: [70, 90] from Operation: 88+2=90 Current State: 20:[70, 90], Operations: ['46+24=70', '88+2=90'] Exploring Operation: 90-70=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 72, 92, 91, 87 ]
15
[ "87-72=15", "92-91=1", "15*1=15" ]
Current State: 15:[72, 92, 91, 87], Operations: [] Exploring Operation: 87-72=15, Resulting Numbers: [92, 91, 15] Generated Node #2: [92, 91, 15] from Operation: 87-72=15 Current State: 15:[92, 91, 15], Operations: ['87-72=15'] Exploring Operation: 92-91=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 92-91=1 Current State: 15:[15, 1], Operations: ['87-72=15', '92-91=1'] Exploring Operation: 15*1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 55, 46, 53, 45 ]
25
[ "55*45=2475", "46+53=99", "2475/99=25" ]
Current State: 25:[55, 46, 53, 45], Operations: [] Exploring Operation: 55*45=2475, Resulting Numbers: [46, 53, 2475] Generated Node #2: [46, 53, 2475] from Operation: 55*45=2475 Current State: 25:[46, 53, 2475], Operations: ['55*45=2475'] Exploring Operation: 46+53=99, Resulting Numbers: [2475, 99] Generated Node #3: [2475, 99] from Operation: 46+53=99 Current State: 25:[2475, 99], Operations: ['55*45=2475', '46+53=99'] Exploring Operation: 2475/99=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 47, 2, 57, 28 ]
78
[ "47+2=49", "57-28=29", "49+29=78" ]
Current State: 78:[47, 2, 57, 28], Operations: [] Exploring Operation: 47+2=49, Resulting Numbers: [57, 28, 49] Generated Node #2: [57, 28, 49] from Operation: 47+2=49 Current State: 78:[57, 28, 49], Operations: ['47+2=49'] Exploring Operation: 57-28=29, Resulting Numbers: [49, 29] Generated Node #3: [49, 29] from Operation: 57-28=29 Current State: 78:[49, 29], Operations: ['47+2=49', '57-28=29'] Exploring Operation: 49+29=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 3, 93, 33, 63 ]
39
[ "63/3=21", "93-33=60", "60-21=39" ]
Current State: 39:[3, 93, 33, 63], Operations: [] Exploring Operation: 63/3=21, Resulting Numbers: [93, 33, 21] Generated Node #2: [93, 33, 21] from Operation: 63/3=21 Current State: 39:[93, 33, 21], Operations: ['63/3=21'] Exploring Operation: 93-33=60, Resulting Numbers: [21, 60] Generated Node #3: [21, 60] from Operation: 93-33=60 Current State: 39:[21, 60], Operations: ['63/3=21', '93-33=60'] Exploring Operation: 60-21=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 92, 4, 74, 2 ]
11
[ "92+4=96", "96-74=22", "22/2=11" ]
Current State: 11:[92, 4, 74, 2], Operations: [] Exploring Operation: 92+4=96, Resulting Numbers: [74, 2, 96] Generated Node #2: [74, 2, 96] from Operation: 92+4=96 Current State: 11:[74, 2, 96], Operations: ['92+4=96'] Exploring Operation: 96-74=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 96-74=22 Current State: 11:[2, 22], Operations: ['92+4=96', '96-74=22'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 33, 24, 7, 77 ]
99
[ "33-24=9", "77/7=11", "9*11=99" ]
Current State: 99:[33, 24, 7, 77], Operations: [] Exploring Operation: 33-24=9, Resulting Numbers: [7, 77, 9] Generated Node #2: [7, 77, 9] from Operation: 33-24=9 Current State: 99:[7, 77, 9], Operations: ['33-24=9'] Exploring Operation: 77/7=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 77/7=11 Current State: 99:[9, 11], Operations: ['33-24=9', '77/7=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 8, 83, 86, 3 ]
96
[ "83-3=80", "80/8=10", "86+10=96" ]
Current State: 96:[8, 83, 86, 3], Operations: [] Exploring Operation: 83-3=80, Resulting Numbers: [8, 86, 80] Generated Node #2: [8, 86, 80] from Operation: 83-3=80 Current State: 96:[8, 86, 80], Operations: ['83-3=80'] Exploring Operation: 80/8=10, Resulting Numbers: [86, 10] Generated Node #3: [86, 10] from Operation: 80/8=10 Current State: 96:[86, 10], Operations: ['83-3=80', '80/8=10'] Exploring Operation: 86+10=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 78, 1, 66, 11 ]
12
[ "78+66=144", "1+11=12", "144/12=12" ]
Current State: 12:[78, 1, 66, 11], Operations: [] Exploring Operation: 78+66=144, Resulting Numbers: [1, 11, 144] Generated Node #2: [1, 11, 144] from Operation: 78+66=144 Current State: 12:[1, 11, 144], Operations: ['78+66=144'] Exploring Operation: 1+11=12, Resulting Numbers: [144, 12] Generated Node #3: [144, 12] from Operation: 1+11=12 Current State: 12:[144, 12], Operations: ['78+66=144', '1+11=12'] Exploring Operation: 144/12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 10, 52, 56, 60 ]
45
[ "52-10=42", "60*42=2520", "2520/56=45" ]
Current State: 45:[10, 52, 56, 60], Operations: [] Exploring Operation: 52-10=42, Resulting Numbers: [56, 60, 42] Generated Node #2: [56, 60, 42] from Operation: 52-10=42 Current State: 45:[56, 60, 42], Operations: ['52-10=42'] Exploring Operation: 60*42=2520, Resulting Numbers: [56, 2520] Generated Node #3: [56, 2520] from Operation: 60*42=2520 Current State: 45:[56, 2520], Operations: ['52-10=42', '60*42=2520'] Exploring Operation: 2520/56=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 73, 13, 4, 55 ]
95
[ "55-13=42", "4*42=168", "168-73=95" ]
Current State: 95:[73, 13, 4, 55], Operations: [] Exploring Operation: 55-13=42, Resulting Numbers: [73, 4, 42] Generated Node #2: [73, 4, 42] from Operation: 55-13=42 Current State: 95:[73, 4, 42], Operations: ['55-13=42'] Exploring Operation: 4*42=168, Resulting Numbers: [73, 168] Generated Node #3: [73, 168] from Operation: 4*42=168 Current State: 95:[73, 168], Operations: ['55-13=42', '4*42=168'] Exploring Operation: 168-73=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 14, 46, 28, 21 ]
67
[ "14+46=60", "28-21=7", "60+7=67" ]
Current State: 67:[14, 46, 28, 21], Operations: [] Exploring Operation: 14+46=60, Resulting Numbers: [28, 21, 60] Generated Node #2: [28, 21, 60] from Operation: 14+46=60 Current State: 67:[28, 21, 60], Operations: ['14+46=60'] Exploring Operation: 28-21=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 28-21=7 Current State: 67:[60, 7], Operations: ['14+46=60', '28-21=7'] Exploring Operation: 60+7=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 34, 18, 15, 14 ]
51
[ "34+18=52", "15-14=1", "52-1=51" ]
Current State: 51:[34, 18, 15, 14], Operations: [] Exploring Operation: 34+18=52, Resulting Numbers: [15, 14, 52] Generated Node #2: [15, 14, 52] from Operation: 34+18=52 Current State: 51:[15, 14, 52], Operations: ['34+18=52'] Exploring Operation: 15-14=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 15-14=1 Current State: 51:[52, 1], Operations: ['34+18=52', '15-14=1'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 22, 77, 87, 85 ]
73
[ "22+77=99", "87+85=172", "172-99=73" ]
Current State: 73:[22, 77, 87, 85], Operations: [] Exploring Operation: 22+77=99, Resulting Numbers: [87, 85, 99] Generated Node #2: [87, 85, 99] from Operation: 22+77=99 Current State: 73:[87, 85, 99], Operations: ['22+77=99'] Exploring Operation: 87+85=172, Resulting Numbers: [99, 172] Generated Node #3: [99, 172] from Operation: 87+85=172 Current State: 73:[99, 172], Operations: ['22+77=99', '87+85=172'] Exploring Operation: 172-99=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 49, 43, 3, 25 ]
35
[ "49-25=24", "24/3=8", "43-8=35" ]
Current State: 35:[49, 43, 3, 25], Operations: [] Exploring Operation: 49-25=24, Resulting Numbers: [43, 3, 24] Generated Node #2: [43, 3, 24] from Operation: 49-25=24 Current State: 35:[43, 3, 24], Operations: ['49-25=24'] Exploring Operation: 24/3=8, Resulting Numbers: [43, 8] Generated Node #3: [43, 8] from Operation: 24/3=8 Current State: 35:[43, 8], Operations: ['49-25=24', '24/3=8'] Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 32, 28, 98, 37 ]
50
[ "32-28=4", "37*4=148", "148-98=50" ]
Current State: 50:[32, 28, 98, 37], Operations: [] Exploring Operation: 32-28=4, Resulting Numbers: [98, 37, 4] Generated Node #2: [98, 37, 4] from Operation: 32-28=4 Current State: 50:[98, 37, 4], Operations: ['32-28=4'] Exploring Operation: 37*4=148, Resulting Numbers: [98, 148] Generated Node #3: [98, 148] from Operation: 37*4=148 Current State: 50:[98, 148], Operations: ['32-28=4', '37*4=148'] Exploring Operation: 148-98=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 27, 27, 81, 19 ]
49
[ "81/27=3", "27+19=46", "3+46=49" ]
Current State: 49:[27, 27, 81, 19], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [19, 3] Generated Node #2: [19, 3] from Operation: 81/27=3 Current State: 49:[19, 3], Operations: ['81/27=3'] Exploring Operation: 27+19=46, Resulting Numbers: [3, 46] Generated Node #3: [3, 46] from Operation: 27+19=46 Current State: 49:[3, 46], Operations: ['81/27=3', '27+19=46'] Exploring Operation: 3+46=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 24, 41, 65, 87 ]
88
[ "24+41=65", "65/65=1", "87+1=88" ]
Current State: 88:[24, 41, 65, 87], Operations: [] Exploring Operation: 24+41=65, Resulting Numbers: [65, 87, 65] Generated Node #2: [65, 87, 65] from Operation: 24+41=65 Current State: 88:[65, 87, 65], Operations: ['24+41=65'] Exploring Operation: 65/65=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 65/65=1 Current State: 88:[87, 1], Operations: ['24+41=65', '65/65=1'] Exploring Operation: 87+1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 37, 81, 40, 7 ]
85
[ "37+81=118", "40-7=33", "118-33=85" ]
Current State: 85:[37, 81, 40, 7], Operations: [] Exploring Operation: 37+81=118, Resulting Numbers: [40, 7, 118] Generated Node #2: [40, 7, 118] from Operation: 37+81=118 Current State: 85:[40, 7, 118], Operations: ['37+81=118'] Exploring Operation: 40-7=33, Resulting Numbers: [118, 33] Generated Node #3: [118, 33] from Operation: 40-7=33 Current State: 85:[118, 33], Operations: ['37+81=118', '40-7=33'] Exploring Operation: 118-33=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 5, 95, 15, 67 ]
47
[ "5*15=75", "95-67=28", "75-28=47" ]
Current State: 47:[5, 95, 15, 67], Operations: [] Exploring Operation: 5*15=75, Resulting Numbers: [95, 67, 75] Generated Node #2: [95, 67, 75] from Operation: 5*15=75 Current State: 47:[95, 67, 75], Operations: ['5*15=75'] Exploring Operation: 95-67=28, Resulting Numbers: [75, 28] Generated Node #3: [75, 28] from Operation: 95-67=28 Current State: 47:[75, 28], Operations: ['5*15=75', '95-67=28'] Exploring Operation: 75-28=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 76, 37, 11, 4 ]
64
[ "37+11=48", "48/4=12", "76-12=64" ]
Current State: 64:[76, 37, 11, 4], Operations: [] Exploring Operation: 37+11=48, Resulting Numbers: [76, 4, 48] Generated Node #2: [76, 4, 48] from Operation: 37+11=48 Current State: 64:[76, 4, 48], Operations: ['37+11=48'] Exploring Operation: 48/4=12, Resulting Numbers: [76, 12] Generated Node #3: [76, 12] from Operation: 48/4=12 Current State: 64:[76, 12], Operations: ['37+11=48', '48/4=12'] Exploring Operation: 76-12=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 76, 75, 17, 88 ]
72
[ "76-75=1", "88-17=71", "1+71=72" ]
Current State: 72:[76, 75, 17, 88], Operations: [] Exploring Operation: 76-75=1, Resulting Numbers: [17, 88, 1] Generated Node #2: [17, 88, 1] from Operation: 76-75=1 Current State: 72:[17, 88, 1], Operations: ['76-75=1'] Exploring Operation: 88-17=71, Resulting Numbers: [1, 71] Generated Node #3: [1, 71] from Operation: 88-17=71 Current State: 72:[1, 71], Operations: ['76-75=1', '88-17=71'] Exploring Operation: 1+71=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 66, 37, 99, 6 ]
76
[ "66-37=29", "99+6=105", "105-29=76" ]
Current State: 76:[66, 37, 99, 6], Operations: [] Exploring Operation: 66-37=29, Resulting Numbers: [99, 6, 29] Generated Node #2: [99, 6, 29] from Operation: 66-37=29 Current State: 76:[99, 6, 29], Operations: ['66-37=29'] Exploring Operation: 99+6=105, Resulting Numbers: [29, 105] Generated Node #3: [29, 105] from Operation: 99+6=105 Current State: 76:[29, 105], Operations: ['66-37=29', '99+6=105'] Exploring Operation: 105-29=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 97, 1, 33, 16 ]
99
[ "33-1=32", "32/16=2", "97+2=99" ]
Current State: 99:[97, 1, 33, 16], Operations: [] Exploring Operation: 33-1=32, Resulting Numbers: [97, 16, 32] Generated Node #2: [97, 16, 32] from Operation: 33-1=32 Current State: 99:[97, 16, 32], Operations: ['33-1=32'] Exploring Operation: 32/16=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 32/16=2 Current State: 99:[97, 2], Operations: ['33-1=32', '32/16=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 74, 30, 74, 85 ]
30
[ "74-74=0", "85*0=0", "30+0=30" ]
Current State: 30:[74, 30, 74, 85], Operations: [] Exploring Operation: 74-74=0, Resulting Numbers: [30, 85, 0] Generated Node #2: [30, 85, 0] from Operation: 74-74=0 Current State: 30:[30, 85, 0], Operations: ['74-74=0'] Exploring Operation: 85*0=0, Resulting Numbers: [30, 0] Generated Node #3: [30, 0] from Operation: 85*0=0 Current State: 30:[30, 0], Operations: ['74-74=0', '85*0=0'] Exploring Operation: 30+0=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 64, 27, 96, 9 ]
50
[ "64-27=37", "96-9=87", "87-37=50" ]
Current State: 50:[64, 27, 96, 9], Operations: [] Exploring Operation: 64-27=37, Resulting Numbers: [96, 9, 37] Generated Node #2: [96, 9, 37] from Operation: 64-27=37 Current State: 50:[96, 9, 37], Operations: ['64-27=37'] Exploring Operation: 96-9=87, Resulting Numbers: [37, 87] Generated Node #3: [37, 87] from Operation: 96-9=87 Current State: 50:[37, 87], Operations: ['64-27=37', '96-9=87'] Exploring Operation: 87-37=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 21, 80, 30, 63 ]
70
[ "21*30=630", "630/63=10", "80-10=70" ]
Current State: 70:[21, 80, 30, 63], Operations: [] Exploring Operation: 21*30=630, Resulting Numbers: [80, 63, 630] Generated Node #2: [80, 63, 630] from Operation: 21*30=630 Current State: 70:[80, 63, 630], Operations: ['21*30=630'] Exploring Operation: 630/63=10, Resulting Numbers: [80, 10] Generated Node #3: [80, 10] from Operation: 630/63=10 Current State: 70:[80, 10], Operations: ['21*30=630', '630/63=10'] Exploring Operation: 80-10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 87, 58, 90, 74 ]
85
[ "58+90=148", "148/74=2", "87-2=85" ]
Current State: 85:[87, 58, 90, 74], Operations: [] Exploring Operation: 58+90=148, Resulting Numbers: [87, 74, 148] Generated Node #2: [87, 74, 148] from Operation: 58+90=148 Current State: 85:[87, 74, 148], Operations: ['58+90=148'] Exploring Operation: 148/74=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 148/74=2 Current State: 85:[87, 2], Operations: ['58+90=148', '148/74=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 72, 77, 18, 84 ]
48
[ "72*77=5544", "5544/84=66", "66-18=48" ]
Current State: 48:[72, 77, 18, 84], Operations: [] Exploring Operation: 72*77=5544, Resulting Numbers: [18, 84, 5544] Generated Node #2: [18, 84, 5544] from Operation: 72*77=5544 Current State: 48:[18, 84, 5544], Operations: ['72*77=5544'] Exploring Operation: 5544/84=66, Resulting Numbers: [18, 66] Generated Node #3: [18, 66] from Operation: 5544/84=66 Current State: 48:[18, 66], Operations: ['72*77=5544', '5544/84=66'] Exploring Operation: 66-18=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 36, 77, 85, 3 ]
12
[ "85-77=8", "3*8=24", "36-24=12" ]
Current State: 12:[36, 77, 85, 3], Operations: [] Exploring Operation: 85-77=8, Resulting Numbers: [36, 3, 8] Generated Node #2: [36, 3, 8] from Operation: 85-77=8 Current State: 12:[36, 3, 8], Operations: ['85-77=8'] Exploring Operation: 3*8=24, Resulting Numbers: [36, 24] Generated Node #3: [36, 24] from Operation: 3*8=24 Current State: 12:[36, 24], Operations: ['85-77=8', '3*8=24'] Exploring Operation: 36-24=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 30, 12, 50, 47 ]
55
[ "30+12=42", "50+47=97", "97-42=55" ]
Current State: 55:[30, 12, 50, 47], Operations: [] Exploring Operation: 30+12=42, Resulting Numbers: [50, 47, 42] Generated Node #2: [50, 47, 42] from Operation: 30+12=42 Current State: 55:[50, 47, 42], Operations: ['30+12=42'] Exploring Operation: 50+47=97, Resulting Numbers: [42, 97] Generated Node #3: [42, 97] from Operation: 50+47=97 Current State: 55:[42, 97], Operations: ['30+12=42', '50+47=97'] Exploring Operation: 97-42=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 26, 30, 43, 81 ]
34
[ "30-26=4", "81-43=38", "38-4=34" ]
Current State: 34:[26, 30, 43, 81], Operations: [] Exploring Operation: 30-26=4, Resulting Numbers: [43, 81, 4] Generated Node #2: [43, 81, 4] from Operation: 30-26=4 Current State: 34:[43, 81, 4], Operations: ['30-26=4'] Exploring Operation: 81-43=38, Resulting Numbers: [4, 38] Generated Node #3: [4, 38] from Operation: 81-43=38 Current State: 34:[4, 38], Operations: ['30-26=4', '81-43=38'] Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4