Datasets:

nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 28, 44, 14, 48 ]
21
[ "28+44=72", "14*72=1008", "1008/48=21" ]
Current State: 21:[28, 44, 14, 48], Operations: [] Exploring Operation: 28+44=72, Resulting Numbers: [14, 48, 72] Generated Node #2: [14, 48, 72] from Operation: 28+44=72 Current State: 21:[14, 48, 72], Operations: ['28+44=72'] Exploring Operation: 14*72=1008, Resulting Numbers: [48, 1008] Generated Node #3: [48, 1008] from Operation: 14*72=1008 Current State: 21:[48, 1008], Operations: ['28+44=72', '14*72=1008'] Exploring Operation: 1008/48=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 64, 82, 59, 72 ]
63
[ "82-64=18", "72/18=4", "59+4=63" ]
Current State: 63:[64, 82, 59, 72], Operations: [] Exploring Operation: 82-64=18, Resulting Numbers: [59, 72, 18] Generated Node #2: [59, 72, 18] from Operation: 82-64=18 Current State: 63:[59, 72, 18], Operations: ['82-64=18'] Exploring Operation: 72/18=4, Resulting Numbers: [59, 4] Generated Node #3: [59, 4] from Operation: 72/18=4 Current State: 63:[59, 4], Operations: ['82-64=18', '72/18=4'] Exploring Operation: 59+4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 68, 12, 95, 60 ]
49
[ "12*95=1140", "1140/60=19", "68-19=49" ]
Current State: 49:[68, 12, 95, 60], Operations: [] Exploring Operation: 12*95=1140, Resulting Numbers: [68, 60, 1140] Generated Node #2: [68, 60, 1140] from Operation: 12*95=1140 Current State: 49:[68, 60, 1140], Operations: ['12*95=1140'] Exploring Operation: 1140/60=19, Resulting Numbers: [68, 19] Generated Node #3: [68, 19] from Operation: 1140/60=19 Current State: 49:[68, 19], Operations: ['12*95=1140', '1140/60=19'] Exploring Operation: 68-19=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 61, 48, 55, 89 ]
75
[ "61+48=109", "89-55=34", "109-34=75" ]
Current State: 75:[61, 48, 55, 89], Operations: [] Exploring Operation: 61+48=109, Resulting Numbers: [55, 89, 109] Generated Node #2: [55, 89, 109] from Operation: 61+48=109 Current State: 75:[55, 89, 109], Operations: ['61+48=109'] Exploring Operation: 89-55=34, Resulting Numbers: [109, 34] Generated Node #3: [109, 34] from Operation: 89-55=34 Current State: 75:[109, 34], Operations: ['61+48=109', '89-55=34'] Exploring Operation: 109-34=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 7, 27, 36, 29 ]
28
[ "36-7=29", "29/29=1", "27+1=28" ]
Current State: 28:[7, 27, 36, 29], Operations: [] Exploring Operation: 36-7=29, Resulting Numbers: [27, 29, 29] Generated Node #2: [27, 29, 29] from Operation: 36-7=29 Current State: 28:[27, 29, 29], Operations: ['36-7=29'] Exploring Operation: 29/29=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 29/29=1 Current State: 28:[27, 1], Operations: ['36-7=29', '29/29=1'] Exploring Operation: 27+1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 50, 94, 22, 70 ]
25
[ "94-22=72", "72-70=2", "50/2=25" ]
Current State: 25:[50, 94, 22, 70], Operations: [] Exploring Operation: 94-22=72, Resulting Numbers: [50, 70, 72] Generated Node #2: [50, 70, 72] from Operation: 94-22=72 Current State: 25:[50, 70, 72], Operations: ['94-22=72'] Exploring Operation: 72-70=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 72-70=2 Current State: 25:[50, 2], Operations: ['94-22=72', '72-70=2'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 64, 55, 78, 51 ]
62
[ "55-51=4", "64/4=16", "78-16=62" ]
Current State: 62:[64, 55, 78, 51], Operations: [] Exploring Operation: 55-51=4, Resulting Numbers: [64, 78, 4] Generated Node #2: [64, 78, 4] from Operation: 55-51=4 Current State: 62:[64, 78, 4], Operations: ['55-51=4'] Exploring Operation: 64/4=16, Resulting Numbers: [78, 16] Generated Node #3: [78, 16] from Operation: 64/4=16 Current State: 62:[78, 16], Operations: ['55-51=4', '64/4=16'] Exploring Operation: 78-16=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 13, 64, 2, 38 ]
25
[ "64-13=51", "2*38=76", "76-51=25" ]
Current State: 25:[13, 64, 2, 38], Operations: [] Exploring Operation: 64-13=51, Resulting Numbers: [2, 38, 51] Generated Node #2: [2, 38, 51] from Operation: 64-13=51 Current State: 25:[2, 38, 51], Operations: ['64-13=51'] Exploring Operation: 2*38=76, Resulting Numbers: [51, 76] Generated Node #3: [51, 76] from Operation: 2*38=76 Current State: 25:[51, 76], Operations: ['64-13=51', '2*38=76'] Exploring Operation: 76-51=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 13, 24, 93, 10 ]
66
[ "13+24=37", "93+10=103", "103-37=66" ]
Current State: 66:[13, 24, 93, 10], Operations: [] Exploring Operation: 13+24=37, Resulting Numbers: [93, 10, 37] Generated Node #2: [93, 10, 37] from Operation: 13+24=37 Current State: 66:[93, 10, 37], Operations: ['13+24=37'] Exploring Operation: 93+10=103, Resulting Numbers: [37, 103] Generated Node #3: [37, 103] from Operation: 93+10=103 Current State: 66:[37, 103], Operations: ['13+24=37', '93+10=103'] Exploring Operation: 103-37=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 68, 50, 9, 27 ]
100
[ "68+50=118", "27-9=18", "118-18=100" ]
Current State: 100:[68, 50, 9, 27], Operations: [] Exploring Operation: 68+50=118, Resulting Numbers: [9, 27, 118] Generated Node #2: [9, 27, 118] from Operation: 68+50=118 Current State: 100:[9, 27, 118], Operations: ['68+50=118'] Exploring Operation: 27-9=18, Resulting Numbers: [118, 18] Generated Node #3: [118, 18] from Operation: 27-9=18 Current State: 100:[118, 18], Operations: ['68+50=118', '27-9=18'] Exploring Operation: 118-18=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 3, 67, 9, 2 ]
46
[ "67-3=64", "9*2=18", "64-18=46" ]
Current State: 46:[3, 67, 9, 2], Operations: [] Exploring Operation: 67-3=64, Resulting Numbers: [9, 2, 64] Generated Node #2: [9, 2, 64] from Operation: 67-3=64 Current State: 46:[9, 2, 64], Operations: ['67-3=64'] Exploring Operation: 9*2=18, Resulting Numbers: [64, 18] Generated Node #3: [64, 18] from Operation: 9*2=18 Current State: 46:[64, 18], Operations: ['67-3=64', '9*2=18'] Exploring Operation: 64-18=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 15, 66, 42, 32 ]
20
[ "15*32=480", "66-42=24", "480/24=20" ]
Current State: 20:[15, 66, 42, 32], Operations: [] Exploring Operation: 15*32=480, Resulting Numbers: [66, 42, 480] Generated Node #2: [66, 42, 480] from Operation: 15*32=480 Current State: 20:[66, 42, 480], Operations: ['15*32=480'] Exploring Operation: 66-42=24, Resulting Numbers: [480, 24] Generated Node #3: [480, 24] from Operation: 66-42=24 Current State: 20:[480, 24], Operations: ['15*32=480', '66-42=24'] Exploring Operation: 480/24=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 59, 10, 7, 18 ]
44
[ "59+10=69", "7+18=25", "69-25=44" ]
Current State: 44:[59, 10, 7, 18], Operations: [] Exploring Operation: 59+10=69, Resulting Numbers: [7, 18, 69] Generated Node #2: [7, 18, 69] from Operation: 59+10=69 Current State: 44:[7, 18, 69], Operations: ['59+10=69'] Exploring Operation: 7+18=25, Resulting Numbers: [69, 25] Generated Node #3: [69, 25] from Operation: 7+18=25 Current State: 44:[69, 25], Operations: ['59+10=69', '7+18=25'] Exploring Operation: 69-25=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 99, 71, 12, 9 ]
25
[ "99-71=28", "12-9=3", "28-3=25" ]
Current State: 25:[99, 71, 12, 9], Operations: [] Exploring Operation: 99-71=28, Resulting Numbers: [12, 9, 28] Generated Node #2: [12, 9, 28] from Operation: 99-71=28 Current State: 25:[12, 9, 28], Operations: ['99-71=28'] Exploring Operation: 12-9=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 12-9=3 Current State: 25:[28, 3], Operations: ['99-71=28', '12-9=3'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 78, 54, 63, 10 ]
97
[ "78-54=24", "63+10=73", "24+73=97" ]
Current State: 97:[78, 54, 63, 10], Operations: [] Exploring Operation: 78-54=24, Resulting Numbers: [63, 10, 24] Generated Node #2: [63, 10, 24] from Operation: 78-54=24 Current State: 97:[63, 10, 24], Operations: ['78-54=24'] Exploring Operation: 63+10=73, Resulting Numbers: [24, 73] Generated Node #3: [24, 73] from Operation: 63+10=73 Current State: 97:[24, 73], Operations: ['78-54=24', '63+10=73'] Exploring Operation: 24+73=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 64, 58, 76, 4 ]
100
[ "64-58=6", "4*6=24", "76+24=100" ]
Current State: 100:[64, 58, 76, 4], Operations: [] Exploring Operation: 64-58=6, Resulting Numbers: [76, 4, 6] Generated Node #2: [76, 4, 6] from Operation: 64-58=6 Current State: 100:[76, 4, 6], Operations: ['64-58=6'] Exploring Operation: 4*6=24, Resulting Numbers: [76, 24] Generated Node #3: [76, 24] from Operation: 4*6=24 Current State: 100:[76, 24], Operations: ['64-58=6', '4*6=24'] Exploring Operation: 76+24=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 94, 91, 83, 3 ]
92
[ "94-91=3", "3*3=9", "83+9=92" ]
Current State: 92:[94, 91, 83, 3], Operations: [] Exploring Operation: 94-91=3, Resulting Numbers: [83, 3, 3] Generated Node #2: [83, 3, 3] from Operation: 94-91=3 Current State: 92:[83, 3, 3], Operations: ['94-91=3'] Exploring Operation: 3*3=9, Resulting Numbers: [83, 9] Generated Node #3: [83, 9] from Operation: 3*3=9 Current State: 92:[83, 9], Operations: ['94-91=3', '3*3=9'] Exploring Operation: 83+9=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 88, 58, 60, 13 ]
57
[ "60-58=2", "88/2=44", "13+44=57" ]
Current State: 57:[88, 58, 60, 13], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [88, 13, 2] Generated Node #2: [88, 13, 2] from Operation: 60-58=2 Current State: 57:[88, 13, 2], Operations: ['60-58=2'] Exploring Operation: 88/2=44, Resulting Numbers: [13, 44] Generated Node #3: [13, 44] from Operation: 88/2=44 Current State: 57:[13, 44], Operations: ['60-58=2', '88/2=44'] Exploring Operation: 13+44=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 96, 30, 32, 3 ]
13
[ "96/32=3", "30/3=10", "3+10=13" ]
Current State: 13:[96, 30, 32, 3], Operations: [] Exploring Operation: 96/32=3, Resulting Numbers: [30, 3, 3] Generated Node #2: [30, 3, 3] from Operation: 96/32=3 Current State: 13:[30, 3, 3], Operations: ['96/32=3'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,13 equal: Goal Reached Exploring Operation: 3+10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 30, 55, 16, 77 ]
58
[ "30*77=2310", "2310/55=42", "16+42=58" ]
Current State: 58:[30, 55, 16, 77], Operations: [] Exploring Operation: 30*77=2310, Resulting Numbers: [55, 16, 2310] Generated Node #2: [55, 16, 2310] from Operation: 30*77=2310 Current State: 58:[55, 16, 2310], Operations: ['30*77=2310'] Exploring Operation: 2310/55=42, Resulting Numbers: [16, 42] Generated Node #3: [16, 42] from Operation: 2310/55=42 Current State: 58:[16, 42], Operations: ['30*77=2310', '2310/55=42'] Exploring Operation: 16+42=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 89, 14, 72, 91 ]
65
[ "91-89=2", "14/2=7", "72-7=65" ]
Current State: 65:[89, 14, 72, 91], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [14, 72, 2] Generated Node #2: [14, 72, 2] from Operation: 91-89=2 Current State: 65:[14, 72, 2], Operations: ['91-89=2'] Exploring Operation: 14/2=7, Resulting Numbers: [72, 7] Generated Node #3: [72, 7] from Operation: 14/2=7 Current State: 65:[72, 7], Operations: ['91-89=2', '14/2=7'] Exploring Operation: 72-7=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 12, 41, 73, 71 ]
51
[ "12+41=53", "73-71=2", "53-2=51" ]
Current State: 51:[12, 41, 73, 71], Operations: [] Exploring Operation: 12+41=53, Resulting Numbers: [73, 71, 53] Generated Node #2: [73, 71, 53] from Operation: 12+41=53 Current State: 51:[73, 71, 53], Operations: ['12+41=53'] Exploring Operation: 73-71=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 73-71=2 Current State: 51:[53, 2], Operations: ['12+41=53', '73-71=2'] Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 46, 24, 34, 42 ]
31
[ "24*42=1008", "46+1008=1054", "1054/34=31" ]
Current State: 31:[46, 24, 34, 42], Operations: [] Exploring Operation: 24*42=1008, Resulting Numbers: [46, 34, 1008] Generated Node #2: [46, 34, 1008] from Operation: 24*42=1008 Current State: 31:[46, 34, 1008], Operations: ['24*42=1008'] Exploring Operation: 46+1008=1054, Resulting Numbers: [34, 1054] Generated Node #3: [34, 1054] from Operation: 46+1008=1054 Current State: 31:[34, 1054], Operations: ['24*42=1008', '46+1008=1054'] Exploring Operation: 1054/34=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 78, 75, 10, 81 ]
94
[ "78-75=3", "10+81=91", "3+91=94" ]
Current State: 94:[78, 75, 10, 81], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [10, 81, 3] Generated Node #2: [10, 81, 3] from Operation: 78-75=3 Current State: 94:[10, 81, 3], Operations: ['78-75=3'] Exploring Operation: 10+81=91, Resulting Numbers: [3, 91] Generated Node #3: [3, 91] from Operation: 10+81=91 Current State: 94:[3, 91], Operations: ['78-75=3', '10+81=91'] Exploring Operation: 3+91=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 96, 53, 97, 65 ]
89
[ "65-53=12", "96/12=8", "97-8=89" ]
Current State: 89:[96, 53, 97, 65], Operations: [] Exploring Operation: 65-53=12, Resulting Numbers: [96, 97, 12] Generated Node #2: [96, 97, 12] from Operation: 65-53=12 Current State: 89:[96, 97, 12], Operations: ['65-53=12'] Exploring Operation: 96/12=8, Resulting Numbers: [97, 8] Generated Node #3: [97, 8] from Operation: 96/12=8 Current State: 89:[97, 8], Operations: ['65-53=12', '96/12=8'] Exploring Operation: 97-8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 7, 6, 45, 51 ]
29
[ "51-45=6", "6*6=36", "36-7=29" ]
Current State: 29:[7, 6, 45, 51], Operations: [] Exploring Operation: 51-45=6, Resulting Numbers: [7, 6, 6] Generated Node #2: [7, 6, 6] from Operation: 51-45=6 Current State: 29:[7, 6, 6], Operations: ['51-45=6'] Exploring Operation: 6*6=36, Resulting Numbers: [7, 36] Generated Node #3: [7, 36] from Operation: 6*6=36 Current State: 29:[7, 36], Operations: ['51-45=6', '6*6=36'] Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 14, 8, 27, 5 ]
15
[ "8-5=3", "14*3=42", "42-27=15" ]
Current State: 15:[14, 8, 27, 5], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [14, 27, 3] Generated Node #2: [14, 27, 3] from Operation: 8-5=3 Current State: 15:[14, 27, 3], Operations: ['8-5=3'] Exploring Operation: 14*3=42, Resulting Numbers: [27, 42] Generated Node #3: [27, 42] from Operation: 14*3=42 Current State: 15:[27, 42], Operations: ['8-5=3', '14*3=42'] Exploring Operation: 42-27=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 32, 88, 60, 91 ]
95
[ "88-32=56", "60+91=151", "151-56=95" ]
Current State: 95:[32, 88, 60, 91], Operations: [] Exploring Operation: 88-32=56, Resulting Numbers: [60, 91, 56] Generated Node #2: [60, 91, 56] from Operation: 88-32=56 Current State: 95:[60, 91, 56], Operations: ['88-32=56'] Exploring Operation: 60+91=151, Resulting Numbers: [56, 151] Generated Node #3: [56, 151] from Operation: 60+91=151 Current State: 95:[56, 151], Operations: ['88-32=56', '60+91=151'] Exploring Operation: 151-56=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 51, 35, 87, 61 ]
42
[ "51-35=16", "87-61=26", "16+26=42" ]
Current State: 42:[51, 35, 87, 61], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [87, 61, 16] Generated Node #2: [87, 61, 16] from Operation: 51-35=16 Current State: 42:[87, 61, 16], Operations: ['51-35=16'] Exploring Operation: 87-61=26, Resulting Numbers: [16, 26] Generated Node #3: [16, 26] from Operation: 87-61=26 Current State: 42:[16, 26], Operations: ['51-35=16', '87-61=26'] Exploring Operation: 16+26=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 62, 33, 4, 56 ]
89
[ "62-33=29", "4+56=60", "29+60=89" ]
Current State: 89:[62, 33, 4, 56], Operations: [] Exploring Operation: 62-33=29, Resulting Numbers: [4, 56, 29] Generated Node #2: [4, 56, 29] from Operation: 62-33=29 Current State: 89:[4, 56, 29], Operations: ['62-33=29'] Exploring Operation: 4+56=60, Resulting Numbers: [29, 60] Generated Node #3: [29, 60] from Operation: 4+56=60 Current State: 89:[29, 60], Operations: ['62-33=29', '4+56=60'] Exploring Operation: 29+60=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 45, 90, 81, 13 ]
70
[ "90/45=2", "81-13=68", "2+68=70" ]
Current State: 70:[45, 90, 81, 13], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [81, 13, 2] Generated Node #2: [81, 13, 2] from Operation: 90/45=2 Current State: 70:[81, 13, 2], Operations: ['90/45=2'] Exploring Operation: 81-13=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 81-13=68 Current State: 70:[2, 68], Operations: ['90/45=2', '81-13=68'] Exploring Operation: 2+68=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 37, 68, 89, 91 ]
99
[ "91-89=2", "68*2=136", "136-37=99" ]
Current State: 99:[37, 68, 89, 91], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [37, 68, 2] Generated Node #2: [37, 68, 2] from Operation: 91-89=2 Current State: 99:[37, 68, 2], Operations: ['91-89=2'] Exploring Operation: 68*2=136, Resulting Numbers: [37, 136] Generated Node #3: [37, 136] from Operation: 68*2=136 Current State: 99:[37, 136], Operations: ['91-89=2', '68*2=136'] Exploring Operation: 136-37=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 39, 63, 4, 29 ]
97
[ "63-29=34", "4*34=136", "136-39=97" ]
Current State: 97:[39, 63, 4, 29], Operations: [] Exploring Operation: 63-29=34, Resulting Numbers: [39, 4, 34] Generated Node #2: [39, 4, 34] from Operation: 63-29=34 Current State: 97:[39, 4, 34], Operations: ['63-29=34'] Exploring Operation: 4*34=136, Resulting Numbers: [39, 136] Generated Node #3: [39, 136] from Operation: 4*34=136 Current State: 97:[39, 136], Operations: ['63-29=34', '4*34=136'] Exploring Operation: 136-39=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 17, 24, 27, 30 ]
72
[ "27-17=10", "24*30=720", "720/10=72" ]
Current State: 72:[17, 24, 27, 30], Operations: [] Exploring Operation: 27-17=10, Resulting Numbers: [24, 30, 10] Generated Node #2: [24, 30, 10] from Operation: 27-17=10 Current State: 72:[24, 30, 10], Operations: ['27-17=10'] Exploring Operation: 24*30=720, Resulting Numbers: [10, 720] Generated Node #3: [10, 720] from Operation: 24*30=720 Current State: 72:[10, 720], Operations: ['27-17=10', '24*30=720'] Exploring Operation: 720/10=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 12, 20, 5, 5 ]
45
[ "20-12=8", "5*8=40", "5+40=45" ]
Current State: 45:[12, 20, 5, 5], Operations: [] Exploring Operation: 20-12=8, Resulting Numbers: [5, 5, 8] Generated Node #2: [5, 5, 8] from Operation: 20-12=8 Current State: 45:[5, 5, 8], Operations: ['20-12=8'] Exploring Operation: 5*8=40, Resulting Numbers: [40] 40,45 equal: Goal Reached Exploring Operation: 5+40=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 90, 32, 9, 1 ]
86
[ "9-1=8", "32/8=4", "90-4=86" ]
Current State: 86:[90, 32, 9, 1], Operations: [] Exploring Operation: 9-1=8, Resulting Numbers: [90, 32, 8] Generated Node #2: [90, 32, 8] from Operation: 9-1=8 Current State: 86:[90, 32, 8], Operations: ['9-1=8'] Exploring Operation: 32/8=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 32/8=4 Current State: 86:[90, 4], Operations: ['9-1=8', '32/8=4'] Exploring Operation: 90-4=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 59, 75, 97, 8 ]
99
[ "75-59=16", "16/8=2", "97+2=99" ]
Current State: 99:[59, 75, 97, 8], Operations: [] Exploring Operation: 75-59=16, Resulting Numbers: [97, 8, 16] Generated Node #2: [97, 8, 16] from Operation: 75-59=16 Current State: 99:[97, 8, 16], Operations: ['75-59=16'] Exploring Operation: 16/8=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 16/8=2 Current State: 99:[97, 2], Operations: ['75-59=16', '16/8=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 30, 21, 5, 23 ]
56
[ "30-23=7", "5*7=35", "21+35=56" ]
Current State: 56:[30, 21, 5, 23], Operations: [] Exploring Operation: 30-23=7, Resulting Numbers: [21, 5, 7] Generated Node #2: [21, 5, 7] from Operation: 30-23=7 Current State: 56:[21, 5, 7], Operations: ['30-23=7'] Exploring Operation: 5*7=35, Resulting Numbers: [21, 35] Generated Node #3: [21, 35] from Operation: 5*7=35 Current State: 56:[21, 35], Operations: ['30-23=7', '5*7=35'] Exploring Operation: 21+35=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 14, 77, 6, 52 ]
19
[ "77*6=462", "462/14=33", "52-33=19" ]
Current State: 19:[14, 77, 6, 52], Operations: [] Exploring Operation: 77*6=462, Resulting Numbers: [14, 52, 462] Generated Node #2: [14, 52, 462] from Operation: 77*6=462 Current State: 19:[14, 52, 462], Operations: ['77*6=462'] Exploring Operation: 462/14=33, Resulting Numbers: [52, 33] Generated Node #3: [52, 33] from Operation: 462/14=33 Current State: 19:[52, 33], Operations: ['77*6=462', '462/14=33'] Exploring Operation: 52-33=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 72, 88, 40, 64 ]
43
[ "72*40=2880", "2880/64=45", "88-45=43" ]
Current State: 43:[72, 88, 40, 64], Operations: [] Exploring Operation: 72*40=2880, Resulting Numbers: [88, 64, 2880] Generated Node #2: [88, 64, 2880] from Operation: 72*40=2880 Current State: 43:[88, 64, 2880], Operations: ['72*40=2880'] Exploring Operation: 2880/64=45, Resulting Numbers: [88, 45] Generated Node #3: [88, 45] from Operation: 2880/64=45 Current State: 43:[88, 45], Operations: ['72*40=2880', '2880/64=45'] Exploring Operation: 88-45=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 63, 77, 11, 7 ]
97
[ "63/7=9", "77+11=88", "9+88=97" ]
Current State: 97:[63, 77, 11, 7], Operations: [] Exploring Operation: 63/7=9, Resulting Numbers: [77, 11, 9] Generated Node #2: [77, 11, 9] from Operation: 63/7=9 Current State: 97:[77, 11, 9], Operations: ['63/7=9'] Exploring Operation: 77+11=88, Resulting Numbers: [9, 88] Generated Node #3: [9, 88] from Operation: 77+11=88 Current State: 97:[9, 88], Operations: ['63/7=9', '77+11=88'] Exploring Operation: 9+88=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 71, 37, 88, 96 ]
100
[ "71+37=108", "96-88=8", "108-8=100" ]
Current State: 100:[71, 37, 88, 96], Operations: [] Exploring Operation: 71+37=108, Resulting Numbers: [88, 96, 108] Generated Node #2: [88, 96, 108] from Operation: 71+37=108 Current State: 100:[88, 96, 108], Operations: ['71+37=108'] Exploring Operation: 96-88=8, Resulting Numbers: [108, 8] Generated Node #3: [108, 8] from Operation: 96-88=8 Current State: 100:[108, 8], Operations: ['71+37=108', '96-88=8'] Exploring Operation: 108-8=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 63, 37, 2, 57 ]
41
[ "63+37=100", "2+57=59", "100-59=41" ]
Current State: 41:[63, 37, 2, 57], Operations: [] Exploring Operation: 63+37=100, Resulting Numbers: [2, 57, 100] Generated Node #2: [2, 57, 100] from Operation: 63+37=100 Current State: 41:[2, 57, 100], Operations: ['63+37=100'] Exploring Operation: 2+57=59, Resulting Numbers: [100, 59] Generated Node #3: [100, 59] from Operation: 2+57=59 Current State: 41:[100, 59], Operations: ['63+37=100', '2+57=59'] Exploring Operation: 100-59=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 66, 84, 15, 24 ]
21
[ "84-66=18", "15+24=39", "39-18=21" ]
Current State: 21:[66, 84, 15, 24], Operations: [] Exploring Operation: 84-66=18, Resulting Numbers: [15, 24, 18] Generated Node #2: [15, 24, 18] from Operation: 84-66=18 Current State: 21:[15, 24, 18], Operations: ['84-66=18'] Exploring Operation: 15+24=39, Resulting Numbers: [18, 39] Generated Node #3: [18, 39] from Operation: 15+24=39 Current State: 21:[18, 39], Operations: ['84-66=18', '15+24=39'] Exploring Operation: 39-18=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 27, 58, 67, 76 ]
25
[ "58+76=134", "134/67=2", "27-2=25" ]
Current State: 25:[27, 58, 67, 76], Operations: [] Exploring Operation: 58+76=134, Resulting Numbers: [27, 67, 134] Generated Node #2: [27, 67, 134] from Operation: 58+76=134 Current State: 25:[27, 67, 134], Operations: ['58+76=134'] Exploring Operation: 134/67=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 134/67=2 Current State: 25:[27, 2], Operations: ['58+76=134', '134/67=2'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 6, 8, 54, 10 ]
27
[ "54/6=9", "8+10=18", "9+18=27" ]
Current State: 27:[6, 8, 54, 10], Operations: [] Exploring Operation: 54/6=9, Resulting Numbers: [8, 10, 9] Generated Node #2: [8, 10, 9] from Operation: 54/6=9 Current State: 27:[8, 10, 9], Operations: ['54/6=9'] Exploring Operation: 8+10=18, Resulting Numbers: [9, 18] Generated Node #3: [9, 18] from Operation: 8+10=18 Current State: 27:[9, 18], Operations: ['54/6=9', '8+10=18'] Exploring Operation: 9+18=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 51, 58, 45, 10 ]
28
[ "58-51=7", "45-10=35", "35-7=28" ]
Current State: 28:[51, 58, 45, 10], Operations: [] Exploring Operation: 58-51=7, Resulting Numbers: [45, 10, 7] Generated Node #2: [45, 10, 7] from Operation: 58-51=7 Current State: 28:[45, 10, 7], Operations: ['58-51=7'] Exploring Operation: 45-10=35, Resulting Numbers: [7, 35] Generated Node #3: [7, 35] from Operation: 45-10=35 Current State: 28:[7, 35], Operations: ['58-51=7', '45-10=35'] Exploring Operation: 35-7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 7, 52, 5, 85 ]
61
[ "7*52=364", "5*85=425", "425-364=61" ]
Current State: 61:[7, 52, 5, 85], Operations: [] Exploring Operation: 7*52=364, Resulting Numbers: [5, 85, 364] Generated Node #2: [5, 85, 364] from Operation: 7*52=364 Current State: 61:[5, 85, 364], Operations: ['7*52=364'] Exploring Operation: 5*85=425, Resulting Numbers: [364, 425] Generated Node #3: [364, 425] from Operation: 5*85=425 Current State: 61:[364, 425], Operations: ['7*52=364', '5*85=425'] Exploring Operation: 425-364=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 38, 24, 26, 41 ]
77
[ "38+24=62", "41-26=15", "62+15=77" ]
Current State: 77:[38, 24, 26, 41], Operations: [] Exploring Operation: 38+24=62, Resulting Numbers: [26, 41, 62] Generated Node #2: [26, 41, 62] from Operation: 38+24=62 Current State: 77:[26, 41, 62], Operations: ['38+24=62'] Exploring Operation: 41-26=15, Resulting Numbers: [62, 15] Generated Node #3: [62, 15] from Operation: 41-26=15 Current State: 77:[62, 15], Operations: ['38+24=62', '41-26=15'] Exploring Operation: 62+15=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 44, 92, 23, 17 ]
88
[ "92-44=48", "23+17=40", "48+40=88" ]
Current State: 88:[44, 92, 23, 17], Operations: [] Exploring Operation: 92-44=48, Resulting Numbers: [23, 17, 48] Generated Node #2: [23, 17, 48] from Operation: 92-44=48 Current State: 88:[23, 17, 48], Operations: ['92-44=48'] Exploring Operation: 23+17=40, Resulting Numbers: [48, 40] Generated Node #3: [48, 40] from Operation: 23+17=40 Current State: 88:[48, 40], Operations: ['92-44=48', '23+17=40'] Exploring Operation: 48+40=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 93, 21, 7, 8 ]
87
[ "93-21=72", "7+8=15", "72+15=87" ]
Current State: 87:[93, 21, 7, 8], Operations: [] Exploring Operation: 93-21=72, Resulting Numbers: [7, 8, 72] Generated Node #2: [7, 8, 72] from Operation: 93-21=72 Current State: 87:[7, 8, 72], Operations: ['93-21=72'] Exploring Operation: 7+8=15, Resulting Numbers: [72, 15] Generated Node #3: [72, 15] from Operation: 7+8=15 Current State: 87:[72, 15], Operations: ['93-21=72', '7+8=15'] Exploring Operation: 72+15=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 2, 73, 93, 6 ]
89
[ "73+93=166", "166/2=83", "6+83=89" ]
Current State: 89:[2, 73, 93, 6], Operations: [] Exploring Operation: 73+93=166, Resulting Numbers: [2, 6, 166] Generated Node #2: [2, 6, 166] from Operation: 73+93=166 Current State: 89:[2, 6, 166], Operations: ['73+93=166'] Exploring Operation: 166/2=83, Resulting Numbers: [6, 83] Generated Node #3: [6, 83] from Operation: 166/2=83 Current State: 89:[6, 83], Operations: ['73+93=166', '166/2=83'] Exploring Operation: 6+83=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 77, 13, 85, 19 ]
12
[ "77*13=1001", "19+1001=1020", "1020/85=12" ]
Current State: 12:[77, 13, 85, 19], Operations: [] Exploring Operation: 77*13=1001, Resulting Numbers: [85, 19, 1001] Generated Node #2: [85, 19, 1001] from Operation: 77*13=1001 Current State: 12:[85, 19, 1001], Operations: ['77*13=1001'] Exploring Operation: 19+1001=1020, Resulting Numbers: [85, 1020] Generated Node #3: [85, 1020] from Operation: 19+1001=1020 Current State: 12:[85, 1020], Operations: ['77*13=1001', '19+1001=1020'] Exploring Operation: 1020/85=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 56, 85, 83, 64 ]
48
[ "85-56=29", "83-64=19", "29+19=48" ]
Current State: 48:[56, 85, 83, 64], Operations: [] Exploring Operation: 85-56=29, Resulting Numbers: [83, 64, 29] Generated Node #2: [83, 64, 29] from Operation: 85-56=29 Current State: 48:[83, 64, 29], Operations: ['85-56=29'] Exploring Operation: 83-64=19, Resulting Numbers: [29, 19] Generated Node #3: [29, 19] from Operation: 83-64=19 Current State: 48:[29, 19], Operations: ['85-56=29', '83-64=19'] Exploring Operation: 29+19=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 91, 59, 50, 94 ]
27
[ "94-91=3", "59-50=9", "3*9=27" ]
Current State: 27:[91, 59, 50, 94], Operations: [] Exploring Operation: 94-91=3, Resulting Numbers: [59, 50, 3] Generated Node #2: [59, 50, 3] from Operation: 94-91=3 Current State: 27:[59, 50, 3], Operations: ['94-91=3'] Exploring Operation: 59-50=9, Resulting Numbers: [3, 9] Generated Node #3: [3, 9] from Operation: 59-50=9 Current State: 27:[3, 9], Operations: ['94-91=3', '59-50=9'] Exploring Operation: 3*9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 7, 27, 45, 37 ]
83
[ "45-37=8", "7*8=56", "27+56=83" ]
Current State: 83:[7, 27, 45, 37], Operations: [] Exploring Operation: 45-37=8, Resulting Numbers: [7, 27, 8] Generated Node #2: [7, 27, 8] from Operation: 45-37=8 Current State: 83:[7, 27, 8], Operations: ['45-37=8'] Exploring Operation: 7*8=56, Resulting Numbers: [27, 56] Generated Node #3: [27, 56] from Operation: 7*8=56 Current State: 83:[27, 56], Operations: ['45-37=8', '7*8=56'] Exploring Operation: 27+56=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 81, 11, 98, 14 ]
56
[ "81*14=1134", "11*98=1078", "1134-1078=56" ]
Current State: 56:[81, 11, 98, 14], Operations: [] Exploring Operation: 81*14=1134, Resulting Numbers: [11, 98, 1134] Generated Node #2: [11, 98, 1134] from Operation: 81*14=1134 Current State: 56:[11, 98, 1134], Operations: ['81*14=1134'] Exploring Operation: 11*98=1078, Resulting Numbers: [1134, 1078] Generated Node #3: [1134, 1078] from Operation: 11*98=1078 Current State: 56:[1134, 1078], Operations: ['81*14=1134', '11*98=1078'] Exploring Operation: 1134-1078=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 74, 78, 3, 56 ]
99
[ "74+78=152", "56-3=53", "152-53=99" ]
Current State: 99:[74, 78, 3, 56], Operations: [] Exploring Operation: 74+78=152, Resulting Numbers: [3, 56, 152] Generated Node #2: [3, 56, 152] from Operation: 74+78=152 Current State: 99:[3, 56, 152], Operations: ['74+78=152'] Exploring Operation: 56-3=53, Resulting Numbers: [152, 53] Generated Node #3: [152, 53] from Operation: 56-3=53 Current State: 99:[152, 53], Operations: ['74+78=152', '56-3=53'] Exploring Operation: 152-53=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 81, 48, 21, 47 ]
50
[ "48-21=27", "81/27=3", "47+3=50" ]
Current State: 50:[81, 48, 21, 47], Operations: [] Exploring Operation: 48-21=27, Resulting Numbers: [81, 47, 27] Generated Node #2: [81, 47, 27] from Operation: 48-21=27 Current State: 50:[81, 47, 27], Operations: ['48-21=27'] Exploring Operation: 81/27=3, Resulting Numbers: [47, 3] Generated Node #3: [47, 3] from Operation: 81/27=3 Current State: 50:[47, 3], Operations: ['48-21=27', '81/27=3'] Exploring Operation: 47+3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 63, 61, 28, 33 ]
47
[ "63-61=2", "28/2=14", "33+14=47" ]
Current State: 47:[63, 61, 28, 33], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [28, 33, 2] Generated Node #2: [28, 33, 2] from Operation: 63-61=2 Current State: 47:[28, 33, 2], Operations: ['63-61=2'] Exploring Operation: 28/2=14, Resulting Numbers: [33, 14] Generated Node #3: [33, 14] from Operation: 28/2=14 Current State: 47:[33, 14], Operations: ['63-61=2', '28/2=14'] Exploring Operation: 33+14=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 85, 96, 25, 16 ]
52
[ "96-85=11", "25+16=41", "11+41=52" ]
Current State: 52:[85, 96, 25, 16], Operations: [] Exploring Operation: 96-85=11, Resulting Numbers: [25, 16, 11] Generated Node #2: [25, 16, 11] from Operation: 96-85=11 Current State: 52:[25, 16, 11], Operations: ['96-85=11'] Exploring Operation: 25+16=41, Resulting Numbers: [11, 41] Generated Node #3: [11, 41] from Operation: 25+16=41 Current State: 52:[11, 41], Operations: ['96-85=11', '25+16=41'] Exploring Operation: 11+41=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 25, 39, 18, 32 ]
78
[ "25+39=64", "32-18=14", "64+14=78" ]
Current State: 78:[25, 39, 18, 32], Operations: [] Exploring Operation: 25+39=64, Resulting Numbers: [18, 32, 64] Generated Node #2: [18, 32, 64] from Operation: 25+39=64 Current State: 78:[18, 32, 64], Operations: ['25+39=64'] Exploring Operation: 32-18=14, Resulting Numbers: [64, 14] Generated Node #3: [64, 14] from Operation: 32-18=14 Current State: 78:[64, 14], Operations: ['25+39=64', '32-18=14'] Exploring Operation: 64+14=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 65, 84, 99, 16 ]
64
[ "84-65=19", "99-16=83", "83-19=64" ]
Current State: 64:[65, 84, 99, 16], Operations: [] Exploring Operation: 84-65=19, Resulting Numbers: [99, 16, 19] Generated Node #2: [99, 16, 19] from Operation: 84-65=19 Current State: 64:[99, 16, 19], Operations: ['84-65=19'] Exploring Operation: 99-16=83, Resulting Numbers: [19, 83] Generated Node #3: [19, 83] from Operation: 99-16=83 Current State: 64:[19, 83], Operations: ['84-65=19', '99-16=83'] Exploring Operation: 83-19=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 92, 2, 91, 3 ]
15
[ "92/2=46", "91-46=45", "45/3=15" ]
Current State: 15:[92, 2, 91, 3], Operations: [] Exploring Operation: 92/2=46, Resulting Numbers: [91, 3, 46] Generated Node #2: [91, 3, 46] from Operation: 92/2=46 Current State: 15:[91, 3, 46], Operations: ['92/2=46'] Exploring Operation: 91-46=45, Resulting Numbers: [3, 45] Generated Node #3: [3, 45] from Operation: 91-46=45 Current State: 15:[3, 45], Operations: ['92/2=46', '91-46=45'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 14, 77, 20, 67 ]
80
[ "77-14=63", "67-63=4", "20*4=80" ]
Current State: 80:[14, 77, 20, 67], Operations: [] Exploring Operation: 77-14=63, Resulting Numbers: [20, 67, 63] Generated Node #2: [20, 67, 63] from Operation: 77-14=63 Current State: 80:[20, 67, 63], Operations: ['77-14=63'] Exploring Operation: 67-63=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 67-63=4 Current State: 80:[20, 4], Operations: ['77-14=63', '67-63=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 2, 3, 20, 41 ]
55
[ "2*3=6", "20+41=61", "61-6=55" ]
Current State: 55:[2, 3, 20, 41], Operations: [] Exploring Operation: 2*3=6, Resulting Numbers: [20, 41, 6] Generated Node #2: [20, 41, 6] from Operation: 2*3=6 Current State: 55:[20, 41, 6], Operations: ['2*3=6'] Exploring Operation: 20+41=61, Resulting Numbers: [6, 61] Generated Node #3: [6, 61] from Operation: 20+41=61 Current State: 55:[6, 61], Operations: ['2*3=6', '20+41=61'] Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 94, 38, 14, 2 ]
73
[ "94+38=132", "14+132=146", "146/2=73" ]
Current State: 73:[94, 38, 14, 2], Operations: [] Exploring Operation: 94+38=132, Resulting Numbers: [14, 2, 132] Generated Node #2: [14, 2, 132] from Operation: 94+38=132 Current State: 73:[14, 2, 132], Operations: ['94+38=132'] Exploring Operation: 14+132=146, Resulting Numbers: [2, 146] Generated Node #3: [2, 146] from Operation: 14+132=146 Current State: 73:[2, 146], Operations: ['94+38=132', '14+132=146'] Exploring Operation: 146/2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 91, 99, 66, 5 ]
53
[ "99-91=8", "66-5=61", "61-8=53" ]
Current State: 53:[91, 99, 66, 5], Operations: [] Exploring Operation: 99-91=8, Resulting Numbers: [66, 5, 8] Generated Node #2: [66, 5, 8] from Operation: 99-91=8 Current State: 53:[66, 5, 8], Operations: ['99-91=8'] Exploring Operation: 66-5=61, Resulting Numbers: [8, 61] Generated Node #3: [8, 61] from Operation: 66-5=61 Current State: 53:[8, 61], Operations: ['99-91=8', '66-5=61'] Exploring Operation: 61-8=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 53, 7, 64, 10 ]
11
[ "53-7=46", "64+46=110", "110/10=11" ]
Current State: 11:[53, 7, 64, 10], Operations: [] Exploring Operation: 53-7=46, Resulting Numbers: [64, 10, 46] Generated Node #2: [64, 10, 46] from Operation: 53-7=46 Current State: 11:[64, 10, 46], Operations: ['53-7=46'] Exploring Operation: 64+46=110, Resulting Numbers: [10, 110] Generated Node #3: [10, 110] from Operation: 64+46=110 Current State: 11:[10, 110], Operations: ['53-7=46', '64+46=110'] Exploring Operation: 110/10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 39, 86, 64, 8 ]
32
[ "39*64=2496", "86-8=78", "2496/78=32" ]
Current State: 32:[39, 86, 64, 8], Operations: [] Exploring Operation: 39*64=2496, Resulting Numbers: [86, 8, 2496] Generated Node #2: [86, 8, 2496] from Operation: 39*64=2496 Current State: 32:[86, 8, 2496], Operations: ['39*64=2496'] Exploring Operation: 86-8=78, Resulting Numbers: [2496, 78] Generated Node #3: [2496, 78] from Operation: 86-8=78 Current State: 32:[2496, 78], Operations: ['39*64=2496', '86-8=78'] Exploring Operation: 2496/78=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 45, 44, 6, 96 ]
15
[ "45-44=1", "96/6=16", "16-1=15" ]
Current State: 15:[45, 44, 6, 96], Operations: [] Exploring Operation: 45-44=1, Resulting Numbers: [6, 96, 1] Generated Node #2: [6, 96, 1] from Operation: 45-44=1 Current State: 15:[6, 96, 1], Operations: ['45-44=1'] Exploring Operation: 96/6=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 96/6=16 Current State: 15:[1, 16], Operations: ['45-44=1', '96/6=16'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 70, 38, 17, 54 ]
71
[ "70+38=108", "54-17=37", "108-37=71" ]
Current State: 71:[70, 38, 17, 54], Operations: [] Exploring Operation: 70+38=108, Resulting Numbers: [17, 54, 108] Generated Node #2: [17, 54, 108] from Operation: 70+38=108 Current State: 71:[17, 54, 108], Operations: ['70+38=108'] Exploring Operation: 54-17=37, Resulting Numbers: [108, 37] Generated Node #3: [108, 37] from Operation: 54-17=37 Current State: 71:[108, 37], Operations: ['70+38=108', '54-17=37'] Exploring Operation: 108-37=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 11, 58, 23, 30 ]
55
[ "58-23=35", "35-30=5", "11*5=55" ]
Current State: 55:[11, 58, 23, 30], Operations: [] Exploring Operation: 58-23=35, Resulting Numbers: [11, 30, 35] Generated Node #2: [11, 30, 35] from Operation: 58-23=35 Current State: 55:[11, 30, 35], Operations: ['58-23=35'] Exploring Operation: 35-30=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 35-30=5 Current State: 55:[11, 5], Operations: ['58-23=35', '35-30=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 81, 78, 76, 83 ]
85
[ "78-76=2", "83*2=166", "166-81=85" ]
Current State: 85:[81, 78, 76, 83], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [81, 83, 2] Generated Node #2: [81, 83, 2] from Operation: 78-76=2 Current State: 85:[81, 83, 2], Operations: ['78-76=2'] Exploring Operation: 83*2=166, Resulting Numbers: [81, 166] Generated Node #3: [81, 166] from Operation: 83*2=166 Current State: 85:[81, 166], Operations: ['78-76=2', '83*2=166'] Exploring Operation: 166-81=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 18, 50, 24, 29 ]
72
[ "50-18=32", "32-29=3", "24*3=72" ]
Current State: 72:[18, 50, 24, 29], Operations: [] Exploring Operation: 50-18=32, Resulting Numbers: [24, 29, 32] Generated Node #2: [24, 29, 32] from Operation: 50-18=32 Current State: 72:[24, 29, 32], Operations: ['50-18=32'] Exploring Operation: 32-29=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 32-29=3 Current State: 72:[24, 3], Operations: ['50-18=32', '32-29=3'] Exploring Operation: 24*3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 2, 71, 39, 31 ]
86
[ "71+39=110", "110/2=55", "31+55=86" ]
Current State: 86:[2, 71, 39, 31], Operations: [] Exploring Operation: 71+39=110, Resulting Numbers: [2, 31, 110] Generated Node #2: [2, 31, 110] from Operation: 71+39=110 Current State: 86:[2, 31, 110], Operations: ['71+39=110'] Exploring Operation: 110/2=55, Resulting Numbers: [31, 55] Generated Node #3: [31, 55] from Operation: 110/2=55 Current State: 86:[31, 55], Operations: ['71+39=110', '110/2=55'] Exploring Operation: 31+55=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 61, 3, 35, 45 ]
41
[ "61-35=26", "45/3=15", "26+15=41" ]
Current State: 41:[61, 3, 35, 45], Operations: [] Exploring Operation: 61-35=26, Resulting Numbers: [3, 45, 26] Generated Node #2: [3, 45, 26] from Operation: 61-35=26 Current State: 41:[3, 45, 26], Operations: ['61-35=26'] Exploring Operation: 45/3=15, Resulting Numbers: [26, 15] Generated Node #3: [26, 15] from Operation: 45/3=15 Current State: 41:[26, 15], Operations: ['61-35=26', '45/3=15'] Exploring Operation: 26+15=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 63, 13, 12, 67 ]
21
[ "63+13=76", "67-12=55", "76-55=21" ]
Current State: 21:[63, 13, 12, 67], Operations: [] Exploring Operation: 63+13=76, Resulting Numbers: [12, 67, 76] Generated Node #2: [12, 67, 76] from Operation: 63+13=76 Current State: 21:[12, 67, 76], Operations: ['63+13=76'] Exploring Operation: 67-12=55, Resulting Numbers: [76, 55] Generated Node #3: [76, 55] from Operation: 67-12=55 Current State: 21:[76, 55], Operations: ['63+13=76', '67-12=55'] Exploring Operation: 76-55=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 97, 85, 74 ]
75
[ "85-74=11", "2*11=22", "97-22=75" ]
Current State: 75:[2, 97, 85, 74], Operations: [] Exploring Operation: 85-74=11, Resulting Numbers: [2, 97, 11] Generated Node #2: [2, 97, 11] from Operation: 85-74=11 Current State: 75:[2, 97, 11], Operations: ['85-74=11'] Exploring Operation: 2*11=22, Resulting Numbers: [97, 22] Generated Node #3: [97, 22] from Operation: 2*11=22 Current State: 75:[97, 22], Operations: ['85-74=11', '2*11=22'] Exploring Operation: 97-22=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 50, 17, 31, 65 ]
95
[ "50*31=1550", "65+1550=1615", "1615/17=95" ]
Current State: 95:[50, 17, 31, 65], Operations: [] Exploring Operation: 50*31=1550, Resulting Numbers: [17, 65, 1550] Generated Node #2: [17, 65, 1550] from Operation: 50*31=1550 Current State: 95:[17, 65, 1550], Operations: ['50*31=1550'] Exploring Operation: 65+1550=1615, Resulting Numbers: [17, 1615] Generated Node #3: [17, 1615] from Operation: 65+1550=1615 Current State: 95:[17, 1615], Operations: ['50*31=1550', '65+1550=1615'] Exploring Operation: 1615/17=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 8, 95, 90, 96 ]
47
[ "96-90=6", "8*6=48", "95-48=47" ]
Current State: 47:[8, 95, 90, 96], Operations: [] Exploring Operation: 96-90=6, Resulting Numbers: [8, 95, 6] Generated Node #2: [8, 95, 6] from Operation: 96-90=6 Current State: 47:[8, 95, 6], Operations: ['96-90=6'] Exploring Operation: 8*6=48, Resulting Numbers: [95, 48] Generated Node #3: [95, 48] from Operation: 8*6=48 Current State: 47:[95, 48], Operations: ['96-90=6', '8*6=48'] Exploring Operation: 95-48=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 35, 39, 63, 7 ]
91
[ "39-35=4", "7*4=28", "63+28=91" ]
Current State: 91:[35, 39, 63, 7], Operations: [] Exploring Operation: 39-35=4, Resulting Numbers: [63, 7, 4] Generated Node #2: [63, 7, 4] from Operation: 39-35=4 Current State: 91:[63, 7, 4], Operations: ['39-35=4'] Exploring Operation: 7*4=28, Resulting Numbers: [63, 28] Generated Node #3: [63, 28] from Operation: 7*4=28 Current State: 91:[63, 28], Operations: ['39-35=4', '7*4=28'] Exploring Operation: 63+28=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 15, 10, 70, 87 ]
95
[ "15+87=102", "70/10=7", "102-7=95" ]
Current State: 95:[15, 10, 70, 87], Operations: [] Exploring Operation: 15+87=102, Resulting Numbers: [10, 70, 102] Generated Node #2: [10, 70, 102] from Operation: 15+87=102 Current State: 95:[10, 70, 102], Operations: ['15+87=102'] Exploring Operation: 70/10=7, Resulting Numbers: [102, 7] Generated Node #3: [102, 7] from Operation: 70/10=7 Current State: 95:[102, 7], Operations: ['15+87=102', '70/10=7'] Exploring Operation: 102-7=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 34, 33, 59, 39 ]
98
[ "34-33=1", "59+39=98", "1*98=98" ]
Current State: 98:[34, 33, 59, 39], Operations: [] Exploring Operation: 34-33=1, Resulting Numbers: [59, 39, 1] Generated Node #2: [59, 39, 1] from Operation: 34-33=1 Current State: 98:[59, 39, 1], Operations: ['34-33=1'] Exploring Operation: 59+39=98, Resulting Numbers: [1, 98] Generated Node #3: [1, 98] from Operation: 59+39=98 Current State: 98:[1, 98], Operations: ['34-33=1', '59+39=98'] Exploring Operation: 1*98=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 45, 55, 45, 11 ]
44
[ "45+55=100", "45+11=56", "100-56=44" ]
Current State: 44:[45, 55, 45, 11], Operations: [] Exploring Operation: 45+55=100, Resulting Numbers: [11, 100] Generated Node #2: [11, 100] from Operation: 45+55=100 Current State: 44:[11, 100], Operations: ['45+55=100'] Exploring Operation: 45+11=56, Resulting Numbers: [100, 56] Generated Node #3: [100, 56] from Operation: 45+11=56 Current State: 44:[100, 56], Operations: ['45+55=100', '45+11=56'] Exploring Operation: 100-56=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 45, 90, 17, 7 ]
85
[ "90/45=2", "7-2=5", "17*5=85" ]
Current State: 85:[45, 90, 17, 7], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [17, 7, 2] Generated Node #2: [17, 7, 2] from Operation: 90/45=2 Current State: 85:[17, 7, 2], Operations: ['90/45=2'] Exploring Operation: 7-2=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 7-2=5 Current State: 85:[17, 5], Operations: ['90/45=2', '7-2=5'] Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 70, 61, 11, 13 ]
33
[ "70-61=9", "11+13=24", "9+24=33" ]
Current State: 33:[70, 61, 11, 13], Operations: [] Exploring Operation: 70-61=9, Resulting Numbers: [11, 13, 9] Generated Node #2: [11, 13, 9] from Operation: 70-61=9 Current State: 33:[11, 13, 9], Operations: ['70-61=9'] Exploring Operation: 11+13=24, Resulting Numbers: [9, 24] Generated Node #3: [9, 24] from Operation: 11+13=24 Current State: 33:[9, 24], Operations: ['70-61=9', '11+13=24'] Exploring Operation: 9+24=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 4, 36, 83 ]
58
[ "5+83=88", "88/4=22", "36+22=58" ]
Current State: 58:[5, 4, 36, 83], Operations: [] Exploring Operation: 5+83=88, Resulting Numbers: [4, 36, 88] Generated Node #2: [4, 36, 88] from Operation: 5+83=88 Current State: 58:[4, 36, 88], Operations: ['5+83=88'] Exploring Operation: 88/4=22, Resulting Numbers: [36, 22] Generated Node #3: [36, 22] from Operation: 88/4=22 Current State: 58:[36, 22], Operations: ['5+83=88', '88/4=22'] Exploring Operation: 36+22=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 39, 39, 9, 21 ]
37
[ "39-21=18", "18/9=2", "39-2=37" ]
Current State: 37:[39, 39, 9, 21], Operations: [] Exploring Operation: 39-21=18, Resulting Numbers: [9, 18] Generated Node #2: [9, 18] from Operation: 39-21=18 Current State: 37:[9, 18], Operations: ['39-21=18'] Exploring Operation: 18/9=2, Resulting Numbers: [2] 2,37 equal: Goal Reached Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 10, 78, 14, 74 ]
100
[ "78-14=64", "74-64=10", "10*10=100" ]
Current State: 100:[10, 78, 14, 74], Operations: [] Exploring Operation: 78-14=64, Resulting Numbers: [10, 74, 64] Generated Node #2: [10, 74, 64] from Operation: 78-14=64 Current State: 100:[10, 74, 64], Operations: ['78-14=64'] Exploring Operation: 74-64=10, Resulting Numbers: [10, 10] Generated Node #3: [10, 10] from Operation: 74-64=10 Current State: 100:[10, 10], Operations: ['78-14=64', '74-64=10'] Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 92, 14, 16, 56 ]
27
[ "92+16=108", "56/14=4", "108/4=27" ]
Current State: 27:[92, 14, 16, 56], Operations: [] Exploring Operation: 92+16=108, Resulting Numbers: [14, 56, 108] Generated Node #2: [14, 56, 108] from Operation: 92+16=108 Current State: 27:[14, 56, 108], Operations: ['92+16=108'] Exploring Operation: 56/14=4, Resulting Numbers: [108, 4] Generated Node #3: [108, 4] from Operation: 56/14=4 Current State: 27:[108, 4], Operations: ['92+16=108', '56/14=4'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 70, 39, 86, 79 ]
38
[ "70-39=31", "86-79=7", "31+7=38" ]
Current State: 38:[70, 39, 86, 79], Operations: [] Exploring Operation: 70-39=31, Resulting Numbers: [86, 79, 31] Generated Node #2: [86, 79, 31] from Operation: 70-39=31 Current State: 38:[86, 79, 31], Operations: ['70-39=31'] Exploring Operation: 86-79=7, Resulting Numbers: [31, 7] Generated Node #3: [31, 7] from Operation: 86-79=7 Current State: 38:[31, 7], Operations: ['70-39=31', '86-79=7'] Exploring Operation: 31+7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 16, 27, 48, 92 ]
87
[ "16+27=43", "92-48=44", "43+44=87" ]
Current State: 87:[16, 27, 48, 92], Operations: [] Exploring Operation: 16+27=43, Resulting Numbers: [48, 92, 43] Generated Node #2: [48, 92, 43] from Operation: 16+27=43 Current State: 87:[48, 92, 43], Operations: ['16+27=43'] Exploring Operation: 92-48=44, Resulting Numbers: [43, 44] Generated Node #3: [43, 44] from Operation: 92-48=44 Current State: 87:[43, 44], Operations: ['16+27=43', '92-48=44'] Exploring Operation: 43+44=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 3, 24, 19, 10 ]
20
[ "24-3=21", "21-19=2", "10*2=20" ]
Current State: 20:[3, 24, 19, 10], Operations: [] Exploring Operation: 24-3=21, Resulting Numbers: [19, 10, 21] Generated Node #2: [19, 10, 21] from Operation: 24-3=21 Current State: 20:[19, 10, 21], Operations: ['24-3=21'] Exploring Operation: 21-19=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 21-19=2 Current State: 20:[10, 2], Operations: ['24-3=21', '21-19=2'] Exploring Operation: 10*2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 10, 71, 80, 56 ]
34
[ "80-71=9", "10*9=90", "90-56=34" ]
Current State: 34:[10, 71, 80, 56], Operations: [] Exploring Operation: 80-71=9, Resulting Numbers: [10, 56, 9] Generated Node #2: [10, 56, 9] from Operation: 80-71=9 Current State: 34:[10, 56, 9], Operations: ['80-71=9'] Exploring Operation: 10*9=90, Resulting Numbers: [56, 90] Generated Node #3: [56, 90] from Operation: 10*9=90 Current State: 34:[56, 90], Operations: ['80-71=9', '10*9=90'] Exploring Operation: 90-56=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 43, 41, 53, 43 ]
74
[ "43+41=84", "53-43=10", "84-10=74" ]
Current State: 74:[43, 41, 53, 43], Operations: [] Exploring Operation: 43+41=84, Resulting Numbers: [53, 84] Generated Node #2: [53, 84] from Operation: 43+41=84 Current State: 74:[53, 84], Operations: ['43+41=84'] Exploring Operation: 53-43=10, Resulting Numbers: [84, 10] Generated Node #3: [84, 10] from Operation: 53-43=10 Current State: 74:[84, 10], Operations: ['43+41=84', '53-43=10'] Exploring Operation: 84-10=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 26, 64, 2, 69 ]
63
[ "26+69=95", "64/2=32", "95-32=63" ]
Current State: 63:[26, 64, 2, 69], Operations: [] Exploring Operation: 26+69=95, Resulting Numbers: [64, 2, 95] Generated Node #2: [64, 2, 95] from Operation: 26+69=95 Current State: 63:[64, 2, 95], Operations: ['26+69=95'] Exploring Operation: 64/2=32, Resulting Numbers: [95, 32] Generated Node #3: [95, 32] from Operation: 64/2=32 Current State: 63:[95, 32], Operations: ['26+69=95', '64/2=32'] Exploring Operation: 95-32=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 60, 17, 65, 47 ]
35
[ "60+17=77", "65+47=112", "112-77=35" ]
Current State: 35:[60, 17, 65, 47], Operations: [] Exploring Operation: 60+17=77, Resulting Numbers: [65, 47, 77] Generated Node #2: [65, 47, 77] from Operation: 60+17=77 Current State: 35:[65, 47, 77], Operations: ['60+17=77'] Exploring Operation: 65+47=112, Resulting Numbers: [77, 112] Generated Node #3: [77, 112] from Operation: 65+47=112 Current State: 35:[77, 112], Operations: ['60+17=77', '65+47=112'] Exploring Operation: 112-77=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 10, 17, 57, 54 ]
10
[ "17-10=7", "57-54=3", "7+3=10" ]
Current State: 10:[10, 17, 57, 54], Operations: [] Exploring Operation: 17-10=7, Resulting Numbers: [57, 54, 7] Generated Node #2: [57, 54, 7] from Operation: 17-10=7 Current State: 10:[57, 54, 7], Operations: ['17-10=7'] Exploring Operation: 57-54=3, Resulting Numbers: [7, 3] Generated Node #3: [7, 3] from Operation: 57-54=3 Current State: 10:[7, 3], Operations: ['17-10=7', '57-54=3'] Exploring Operation: 7+3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 14, 41, 48, 30 ]
37
[ "14+41=55", "48-30=18", "55-18=37" ]
Current State: 37:[14, 41, 48, 30], Operations: [] Exploring Operation: 14+41=55, Resulting Numbers: [48, 30, 55] Generated Node #2: [48, 30, 55] from Operation: 14+41=55 Current State: 37:[48, 30, 55], Operations: ['14+41=55'] Exploring Operation: 48-30=18, Resulting Numbers: [55, 18] Generated Node #3: [55, 18] from Operation: 48-30=18 Current State: 37:[55, 18], Operations: ['14+41=55', '48-30=18'] Exploring Operation: 55-18=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4