Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 2, 71, 3, 98 ]
86
[ "71+3=74", "98+74=172", "172/2=86" ]
Current State: 86:[2, 71, 3, 98], Operations: [] Exploring Operation: 71+3=74, Resulting Numbers: [2, 98, 74] Generated Node #2: [2, 98, 74] from Operation: 71+3=74 Current State: 86:[2, 98, 74], Operations: ['71+3=74'] Exploring Operation: 98+74=172, Resulting Numbers: [2, 172] Generated Node #3: [2, 172] from Operation: 98+74=172 Current State: 86:[2, 172], Operations: ['71+3=74', '98+74=172'] Exploring Operation: 172/2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 63, 30, 15, 23 ]
42
[ "63-23=40", "30/15=2", "40+2=42" ]
Current State: 42:[63, 30, 15, 23], Operations: [] Exploring Operation: 63-23=40, Resulting Numbers: [30, 15, 40] Generated Node #2: [30, 15, 40] from Operation: 63-23=40 Current State: 42:[30, 15, 40], Operations: ['63-23=40'] Exploring Operation: 30/15=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 30/15=2 Current State: 42:[40, 2], Operations: ['63-23=40', '30/15=2'] Exploring Operation: 40+2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 38, 6, 97, 95 ]
16
[ "38-6=32", "97-95=2", "32/2=16" ]
Current State: 16:[38, 6, 97, 95], Operations: [] Exploring Operation: 38-6=32, Resulting Numbers: [97, 95, 32] Generated Node #2: [97, 95, 32] from Operation: 38-6=32 Current State: 16:[97, 95, 32], Operations: ['38-6=32'] Exploring Operation: 97-95=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 97-95=2 Current State: 16:[32, 2], Operations: ['38-6=32', '97-95=2'] Exploring Operation: 32/2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 23, 68, 50, 89 ]
94
[ "68-23=45", "50+89=139", "139-45=94" ]
Current State: 94:[23, 68, 50, 89], Operations: [] Exploring Operation: 68-23=45, Resulting Numbers: [50, 89, 45] Generated Node #2: [50, 89, 45] from Operation: 68-23=45 Current State: 94:[50, 89, 45], Operations: ['68-23=45'] Exploring Operation: 50+89=139, Resulting Numbers: [45, 139] Generated Node #3: [45, 139] from Operation: 50+89=139 Current State: 94:[45, 139], Operations: ['68-23=45', '50+89=139'] Exploring Operation: 139-45=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 34, 96, 17, 27 ]
52
[ "96-34=62", "27-17=10", "62-10=52" ]
Current State: 52:[34, 96, 17, 27], Operations: [] Exploring Operation: 96-34=62, Resulting Numbers: [17, 27, 62] Generated Node #2: [17, 27, 62] from Operation: 96-34=62 Current State: 52:[17, 27, 62], Operations: ['96-34=62'] Exploring Operation: 27-17=10, Resulting Numbers: [62, 10] Generated Node #3: [62, 10] from Operation: 27-17=10 Current State: 52:[62, 10], Operations: ['96-34=62', '27-17=10'] Exploring Operation: 62-10=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 81, 86, 96, 80 ]
65
[ "86-80=6", "96/6=16", "81-16=65" ]
Current State: 65:[81, 86, 96, 80], Operations: [] Exploring Operation: 86-80=6, Resulting Numbers: [81, 96, 6] Generated Node #2: [81, 96, 6] from Operation: 86-80=6 Current State: 65:[81, 96, 6], Operations: ['86-80=6'] Exploring Operation: 96/6=16, Resulting Numbers: [81, 16] Generated Node #3: [81, 16] from Operation: 96/6=16 Current State: 65:[81, 16], Operations: ['86-80=6', '96/6=16'] Exploring Operation: 81-16=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 50, 34, 4, 30 ]
58
[ "50+34=84", "30-4=26", "84-26=58" ]
Current State: 58:[50, 34, 4, 30], Operations: [] Exploring Operation: 50+34=84, Resulting Numbers: [4, 30, 84] Generated Node #2: [4, 30, 84] from Operation: 50+34=84 Current State: 58:[4, 30, 84], Operations: ['50+34=84'] Exploring Operation: 30-4=26, Resulting Numbers: [84, 26] Generated Node #3: [84, 26] from Operation: 30-4=26 Current State: 58:[84, 26], Operations: ['50+34=84', '30-4=26'] Exploring Operation: 84-26=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 42, 77, 23, 92 ]
31
[ "77-42=35", "92/23=4", "35-4=31" ]
Current State: 31:[42, 77, 23, 92], Operations: [] Exploring Operation: 77-42=35, Resulting Numbers: [23, 92, 35] Generated Node #2: [23, 92, 35] from Operation: 77-42=35 Current State: 31:[23, 92, 35], Operations: ['77-42=35'] Exploring Operation: 92/23=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 92/23=4 Current State: 31:[35, 4], Operations: ['77-42=35', '92/23=4'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 29, 68, 1, 67 ]
27
[ "68-29=39", "67-1=66", "66-39=27" ]
Current State: 27:[29, 68, 1, 67], Operations: [] Exploring Operation: 68-29=39, Resulting Numbers: [1, 67, 39] Generated Node #2: [1, 67, 39] from Operation: 68-29=39 Current State: 27:[1, 67, 39], Operations: ['68-29=39'] Exploring Operation: 67-1=66, Resulting Numbers: [39, 66] Generated Node #3: [39, 66] from Operation: 67-1=66 Current State: 27:[39, 66], Operations: ['68-29=39', '67-1=66'] Exploring Operation: 66-39=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 40, 52, 76, 33 ]
64
[ "76*33=2508", "52+2508=2560", "2560/40=64" ]
Current State: 64:[40, 52, 76, 33], Operations: [] Exploring Operation: 76*33=2508, Resulting Numbers: [40, 52, 2508] Generated Node #2: [40, 52, 2508] from Operation: 76*33=2508 Current State: 64:[40, 52, 2508], Operations: ['76*33=2508'] Exploring Operation: 52+2508=2560, Resulting Numbers: [40, 2560] Generated Node #3: [40, 2560] from Operation: 52+2508=2560 Current State: 64:[40, 2560], Operations: ['76*33=2508', '52+2508=2560'] Exploring Operation: 2560/40=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 96, 87, 9, 79 ]
61
[ "96-87=9", "79-9=70", "70-9=61" ]
Current State: 61:[96, 87, 9, 79], Operations: [] Exploring Operation: 96-87=9, Resulting Numbers: [9, 79, 9] Generated Node #2: [9, 79, 9] from Operation: 96-87=9 Current State: 61:[9, 79, 9], Operations: ['96-87=9'] Exploring Operation: 79-9=70, Resulting Numbers: [70] 70,61 equal: Goal Reached Exploring Operation: 70-9=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 81, 12, 32, 81 ]
45
[ "81/81=1", "12+32=44", "1+44=45" ]
Current State: 45:[81, 12, 32, 81], Operations: [] Exploring Operation: 81/81=1, Resulting Numbers: [12, 32, 1] Generated Node #2: [12, 32, 1] from Operation: 81/81=1 Current State: 45:[12, 32, 1], Operations: ['81/81=1'] Exploring Operation: 12+32=44, Resulting Numbers: [1, 44] Generated Node #3: [1, 44] from Operation: 12+32=44 Current State: 45:[1, 44], Operations: ['81/81=1', '12+32=44'] Exploring Operation: 1+44=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 52, 52, 50, 7 ]
50
[ "52-52=0", "7*0=0", "50+0=50" ]
Current State: 50:[52, 52, 50, 7], Operations: [] Exploring Operation: 52-52=0, Resulting Numbers: [50, 7, 0] Generated Node #2: [50, 7, 0] from Operation: 52-52=0 Current State: 50:[50, 7, 0], Operations: ['52-52=0'] Exploring Operation: 7*0=0, Resulting Numbers: [50, 0] Generated Node #3: [50, 0] from Operation: 7*0=0 Current State: 50:[50, 0], Operations: ['52-52=0', '7*0=0'] Exploring Operation: 50+0=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 52, 70, 2, 66 ]
30
[ "70-52=18", "2*18=36", "66-36=30" ]
Current State: 30:[52, 70, 2, 66], Operations: [] Exploring Operation: 70-52=18, Resulting Numbers: [2, 66, 18] Generated Node #2: [2, 66, 18] from Operation: 70-52=18 Current State: 30:[2, 66, 18], Operations: ['70-52=18'] Exploring Operation: 2*18=36, Resulting Numbers: [66, 36] Generated Node #3: [66, 36] from Operation: 2*18=36 Current State: 30:[66, 36], Operations: ['70-52=18', '2*18=36'] Exploring Operation: 66-36=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 24, 42, 58, 92 ]
40
[ "24+92=116", "116/58=2", "42-2=40" ]
Current State: 40:[24, 42, 58, 92], Operations: [] Exploring Operation: 24+92=116, Resulting Numbers: [42, 58, 116] Generated Node #2: [42, 58, 116] from Operation: 24+92=116 Current State: 40:[42, 58, 116], Operations: ['24+92=116'] Exploring Operation: 116/58=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 116/58=2 Current State: 40:[42, 2], Operations: ['24+92=116', '116/58=2'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 26, 54, 20, 28 ]
72
[ "26+54=80", "28-20=8", "80-8=72" ]
Current State: 72:[26, 54, 20, 28], Operations: [] Exploring Operation: 26+54=80, Resulting Numbers: [20, 28, 80] Generated Node #2: [20, 28, 80] from Operation: 26+54=80 Current State: 72:[20, 28, 80], Operations: ['26+54=80'] Exploring Operation: 28-20=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 28-20=8 Current State: 72:[80, 8], Operations: ['26+54=80', '28-20=8'] Exploring Operation: 80-8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 10, 68, 13, 95 ]
89
[ "10+68=78", "78/13=6", "95-6=89" ]
Current State: 89:[10, 68, 13, 95], Operations: [] Exploring Operation: 10+68=78, Resulting Numbers: [13, 95, 78] Generated Node #2: [13, 95, 78] from Operation: 10+68=78 Current State: 89:[13, 95, 78], Operations: ['10+68=78'] Exploring Operation: 78/13=6, Resulting Numbers: [95, 6] Generated Node #3: [95, 6] from Operation: 78/13=6 Current State: 89:[95, 6], Operations: ['10+68=78', '78/13=6'] Exploring Operation: 95-6=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 49, 44, 27, 64 ]
96
[ "49-44=5", "27+64=91", "5+91=96" ]
Current State: 96:[49, 44, 27, 64], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [27, 64, 5] Generated Node #2: [27, 64, 5] from Operation: 49-44=5 Current State: 96:[27, 64, 5], Operations: ['49-44=5'] Exploring Operation: 27+64=91, Resulting Numbers: [5, 91] Generated Node #3: [5, 91] from Operation: 27+64=91 Current State: 96:[5, 91], Operations: ['49-44=5', '27+64=91'] Exploring Operation: 5+91=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 87, 74, 49, 47 ]
26
[ "87-74=13", "49-47=2", "13*2=26" ]
Current State: 26:[87, 74, 49, 47], Operations: [] Exploring Operation: 87-74=13, Resulting Numbers: [49, 47, 13] Generated Node #2: [49, 47, 13] from Operation: 87-74=13 Current State: 26:[49, 47, 13], Operations: ['87-74=13'] Exploring Operation: 49-47=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 49-47=2 Current State: 26:[13, 2], Operations: ['87-74=13', '49-47=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 70, 24, 49, 13 ]
10
[ "70-24=46", "49-13=36", "46-36=10" ]
Current State: 10:[70, 24, 49, 13], Operations: [] Exploring Operation: 70-24=46, Resulting Numbers: [49, 13, 46] Generated Node #2: [49, 13, 46] from Operation: 70-24=46 Current State: 10:[49, 13, 46], Operations: ['70-24=46'] Exploring Operation: 49-13=36, Resulting Numbers: [46, 36] Generated Node #3: [46, 36] from Operation: 49-13=36 Current State: 10:[46, 36], Operations: ['70-24=46', '49-13=36'] Exploring Operation: 46-36=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 1, 28, 7, 5 ]
40
[ "1*28=28", "7+5=12", "28+12=40" ]
Current State: 40:[1, 28, 7, 5], Operations: [] Exploring Operation: 1*28=28, Resulting Numbers: [7, 5, 28] Generated Node #2: [7, 5, 28] from Operation: 1*28=28 Current State: 40:[7, 5, 28], Operations: ['1*28=28'] Exploring Operation: 7+5=12, Resulting Numbers: [28, 12] Generated Node #3: [28, 12] from Operation: 7+5=12 Current State: 40:[28, 12], Operations: ['1*28=28', '7+5=12'] Exploring Operation: 28+12=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 19, 2, 80, 38 ]
65
[ "80-38=42", "2*42=84", "84-19=65" ]
Current State: 65:[19, 2, 80, 38], Operations: [] Exploring Operation: 80-38=42, Resulting Numbers: [19, 2, 42] Generated Node #2: [19, 2, 42] from Operation: 80-38=42 Current State: 65:[19, 2, 42], Operations: ['80-38=42'] Exploring Operation: 2*42=84, Resulting Numbers: [19, 84] Generated Node #3: [19, 84] from Operation: 2*42=84 Current State: 65:[19, 84], Operations: ['80-38=42', '2*42=84'] Exploring Operation: 84-19=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 63, 42, 33, 55 ]
62
[ "42-33=9", "63/9=7", "55+7=62" ]
Current State: 62:[63, 42, 33, 55], Operations: [] Exploring Operation: 42-33=9, Resulting Numbers: [63, 55, 9] Generated Node #2: [63, 55, 9] from Operation: 42-33=9 Current State: 62:[63, 55, 9], Operations: ['42-33=9'] Exploring Operation: 63/9=7, Resulting Numbers: [55, 7] Generated Node #3: [55, 7] from Operation: 63/9=7 Current State: 62:[55, 7], Operations: ['42-33=9', '63/9=7'] Exploring Operation: 55+7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 14, 2, 81, 36 ]
36
[ "14+2=16", "81*16=1296", "1296/36=36" ]
Current State: 36:[14, 2, 81, 36], Operations: [] Exploring Operation: 14+2=16, Resulting Numbers: [81, 36, 16] Generated Node #2: [81, 36, 16] from Operation: 14+2=16 Current State: 36:[81, 36, 16], Operations: ['14+2=16'] Exploring Operation: 81*16=1296, Resulting Numbers: [36, 1296] Generated Node #3: [36, 1296] from Operation: 81*16=1296 Current State: 36:[36, 1296], Operations: ['14+2=16', '81*16=1296'] Exploring Operation: 1296/36=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 5, 80, 32, 86 ]
62
[ "86-80=6", "5*6=30", "32+30=62" ]
Current State: 62:[5, 80, 32, 86], Operations: [] Exploring Operation: 86-80=6, Resulting Numbers: [5, 32, 6] Generated Node #2: [5, 32, 6] from Operation: 86-80=6 Current State: 62:[5, 32, 6], Operations: ['86-80=6'] Exploring Operation: 5*6=30, Resulting Numbers: [32, 30] Generated Node #3: [32, 30] from Operation: 5*6=30 Current State: 62:[32, 30], Operations: ['86-80=6', '5*6=30'] Exploring Operation: 32+30=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 6, 71, 94, 76 ]
59
[ "6+71=77", "94-76=18", "77-18=59" ]
Current State: 59:[6, 71, 94, 76], Operations: [] Exploring Operation: 6+71=77, Resulting Numbers: [94, 76, 77] Generated Node #2: [94, 76, 77] from Operation: 6+71=77 Current State: 59:[94, 76, 77], Operations: ['6+71=77'] Exploring Operation: 94-76=18, Resulting Numbers: [77, 18] Generated Node #3: [77, 18] from Operation: 94-76=18 Current State: 59:[77, 18], Operations: ['6+71=77', '94-76=18'] Exploring Operation: 77-18=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 13, 3, 60, 94 ]
67
[ "94-3=91", "91/13=7", "60+7=67" ]
Current State: 67:[13, 3, 60, 94], Operations: [] Exploring Operation: 94-3=91, Resulting Numbers: [13, 60, 91] Generated Node #2: [13, 60, 91] from Operation: 94-3=91 Current State: 67:[13, 60, 91], Operations: ['94-3=91'] Exploring Operation: 91/13=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 91/13=7 Current State: 67:[60, 7], Operations: ['94-3=91', '91/13=7'] Exploring Operation: 60+7=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 50, 1, 92, 52 ]
94
[ "50*1=50", "92+52=144", "144-50=94" ]
Current State: 94:[50, 1, 92, 52], Operations: [] Exploring Operation: 50*1=50, Resulting Numbers: [92, 52, 50] Generated Node #2: [92, 52, 50] from Operation: 50*1=50 Current State: 94:[92, 52, 50], Operations: ['50*1=50'] Exploring Operation: 92+52=144, Resulting Numbers: [50, 144] Generated Node #3: [50, 144] from Operation: 92+52=144 Current State: 94:[50, 144], Operations: ['50*1=50', '92+52=144'] Exploring Operation: 144-50=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 2, 29, 24, 50 ]
30
[ "50/2=25", "29-24=5", "25+5=30" ]
Current State: 30:[2, 29, 24, 50], Operations: [] Exploring Operation: 50/2=25, Resulting Numbers: [29, 24, 25] Generated Node #2: [29, 24, 25] from Operation: 50/2=25 Current State: 30:[29, 24, 25], Operations: ['50/2=25'] Exploring Operation: 29-24=5, Resulting Numbers: [25, 5] Generated Node #3: [25, 5] from Operation: 29-24=5 Current State: 30:[25, 5], Operations: ['50/2=25', '29-24=5'] Exploring Operation: 25+5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 74, 25, 19, 92 ]
24
[ "74-25=49", "92-19=73", "73-49=24" ]
Current State: 24:[74, 25, 19, 92], Operations: [] Exploring Operation: 74-25=49, Resulting Numbers: [19, 92, 49] Generated Node #2: [19, 92, 49] from Operation: 74-25=49 Current State: 24:[19, 92, 49], Operations: ['74-25=49'] Exploring Operation: 92-19=73, Resulting Numbers: [49, 73] Generated Node #3: [49, 73] from Operation: 92-19=73 Current State: 24:[49, 73], Operations: ['74-25=49', '92-19=73'] Exploring Operation: 73-49=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 41, 36, 46, 94 ]
26
[ "46-41=5", "36+94=130", "130/5=26" ]
Current State: 26:[41, 36, 46, 94], Operations: [] Exploring Operation: 46-41=5, Resulting Numbers: [36, 94, 5] Generated Node #2: [36, 94, 5] from Operation: 46-41=5 Current State: 26:[36, 94, 5], Operations: ['46-41=5'] Exploring Operation: 36+94=130, Resulting Numbers: [5, 130] Generated Node #3: [5, 130] from Operation: 36+94=130 Current State: 26:[5, 130], Operations: ['46-41=5', '36+94=130'] Exploring Operation: 130/5=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 26, 50, 25, 8 ]
36
[ "26+8=34", "50/25=2", "34+2=36" ]
Current State: 36:[26, 50, 25, 8], Operations: [] Exploring Operation: 26+8=34, Resulting Numbers: [50, 25, 34] Generated Node #2: [50, 25, 34] from Operation: 26+8=34 Current State: 36:[50, 25, 34], Operations: ['26+8=34'] Exploring Operation: 50/25=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 50/25=2 Current State: 36:[34, 2], Operations: ['26+8=34', '50/25=2'] Exploring Operation: 34+2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 88, 75, 43, 10 ]
40
[ "88-75=13", "43+10=53", "53-13=40" ]
Current State: 40:[88, 75, 43, 10], Operations: [] Exploring Operation: 88-75=13, Resulting Numbers: [43, 10, 13] Generated Node #2: [43, 10, 13] from Operation: 88-75=13 Current State: 40:[43, 10, 13], Operations: ['88-75=13'] Exploring Operation: 43+10=53, Resulting Numbers: [13, 53] Generated Node #3: [13, 53] from Operation: 43+10=53 Current State: 40:[13, 53], Operations: ['88-75=13', '43+10=53'] Exploring Operation: 53-13=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 9, 18, 3, 11 ]
56
[ "9*3=27", "18+11=29", "27+29=56" ]
Current State: 56:[9, 18, 3, 11], Operations: [] Exploring Operation: 9*3=27, Resulting Numbers: [18, 11, 27] Generated Node #2: [18, 11, 27] from Operation: 9*3=27 Current State: 56:[18, 11, 27], Operations: ['9*3=27'] Exploring Operation: 18+11=29, Resulting Numbers: [27, 29] Generated Node #3: [27, 29] from Operation: 18+11=29 Current State: 56:[27, 29], Operations: ['9*3=27', '18+11=29'] Exploring Operation: 27+29=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 66, 1, 83, 82 ]
66
[ "66+1=67", "83-82=1", "67-1=66" ]
Current State: 66:[66, 1, 83, 82], Operations: [] Exploring Operation: 66+1=67, Resulting Numbers: [83, 82, 67] Generated Node #2: [83, 82, 67] from Operation: 66+1=67 Current State: 66:[83, 82, 67], Operations: ['66+1=67'] Exploring Operation: 83-82=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 83-82=1 Current State: 66:[67, 1], Operations: ['66+1=67', '83-82=1'] Exploring Operation: 67-1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 72, 59, 65, 91 ]
12
[ "72-59=13", "65+91=156", "156/13=12" ]
Current State: 12:[72, 59, 65, 91], Operations: [] Exploring Operation: 72-59=13, Resulting Numbers: [65, 91, 13] Generated Node #2: [65, 91, 13] from Operation: 72-59=13 Current State: 12:[65, 91, 13], Operations: ['72-59=13'] Exploring Operation: 65+91=156, Resulting Numbers: [13, 156] Generated Node #3: [13, 156] from Operation: 65+91=156 Current State: 12:[13, 156], Operations: ['72-59=13', '65+91=156'] Exploring Operation: 156/13=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 9, 5, 56, 99 ]
86
[ "9+56=65", "65/5=13", "99-13=86" ]
Current State: 86:[9, 5, 56, 99], Operations: [] Exploring Operation: 9+56=65, Resulting Numbers: [5, 99, 65] Generated Node #2: [5, 99, 65] from Operation: 9+56=65 Current State: 86:[5, 99, 65], Operations: ['9+56=65'] Exploring Operation: 65/5=13, Resulting Numbers: [99, 13] Generated Node #3: [99, 13] from Operation: 65/5=13 Current State: 86:[99, 13], Operations: ['9+56=65', '65/5=13'] Exploring Operation: 99-13=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 12, 72, 36, 80 ]
89
[ "72+36=108", "108/12=9", "80+9=89" ]
Current State: 89:[12, 72, 36, 80], Operations: [] Exploring Operation: 72+36=108, Resulting Numbers: [12, 80, 108] Generated Node #2: [12, 80, 108] from Operation: 72+36=108 Current State: 89:[12, 80, 108], Operations: ['72+36=108'] Exploring Operation: 108/12=9, Resulting Numbers: [80, 9] Generated Node #3: [80, 9] from Operation: 108/12=9 Current State: 89:[80, 9], Operations: ['72+36=108', '108/12=9'] Exploring Operation: 80+9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 3, 25, 29, 56 ]
68
[ "29-25=4", "3*4=12", "56+12=68" ]
Current State: 68:[3, 25, 29, 56], Operations: [] Exploring Operation: 29-25=4, Resulting Numbers: [3, 56, 4] Generated Node #2: [3, 56, 4] from Operation: 29-25=4 Current State: 68:[3, 56, 4], Operations: ['29-25=4'] Exploring Operation: 3*4=12, Resulting Numbers: [56, 12] Generated Node #3: [56, 12] from Operation: 3*4=12 Current State: 68:[56, 12], Operations: ['29-25=4', '3*4=12'] Exploring Operation: 56+12=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 96, 95, 91, 78 ]
72
[ "96-78=18", "95-91=4", "18*4=72" ]
Current State: 72:[96, 95, 91, 78], Operations: [] Exploring Operation: 96-78=18, Resulting Numbers: [95, 91, 18] Generated Node #2: [95, 91, 18] from Operation: 96-78=18 Current State: 72:[95, 91, 18], Operations: ['96-78=18'] Exploring Operation: 95-91=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 95-91=4 Current State: 72:[18, 4], Operations: ['96-78=18', '95-91=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 15, 14, 75, 11 ]
81
[ "75/15=5", "14*5=70", "11+70=81" ]
Current State: 81:[15, 14, 75, 11], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [14, 11, 5] Generated Node #2: [14, 11, 5] from Operation: 75/15=5 Current State: 81:[14, 11, 5], Operations: ['75/15=5'] Exploring Operation: 14*5=70, Resulting Numbers: [11, 70] Generated Node #3: [11, 70] from Operation: 14*5=70 Current State: 81:[11, 70], Operations: ['75/15=5', '14*5=70'] Exploring Operation: 11+70=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 13, 31, 11, 74 ]
100
[ "13*11=143", "74-31=43", "143-43=100" ]
Current State: 100:[13, 31, 11, 74], Operations: [] Exploring Operation: 13*11=143, Resulting Numbers: [31, 74, 143] Generated Node #2: [31, 74, 143] from Operation: 13*11=143 Current State: 100:[31, 74, 143], Operations: ['13*11=143'] Exploring Operation: 74-31=43, Resulting Numbers: [143, 43] Generated Node #3: [143, 43] from Operation: 74-31=43 Current State: 100:[143, 43], Operations: ['13*11=143', '74-31=43'] Exploring Operation: 143-43=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 6, 97, 68, 83 ]
16
[ "97-83=14", "6*14=84", "84-68=16" ]
Current State: 16:[6, 97, 68, 83], Operations: [] Exploring Operation: 97-83=14, Resulting Numbers: [6, 68, 14] Generated Node #2: [6, 68, 14] from Operation: 97-83=14 Current State: 16:[6, 68, 14], Operations: ['97-83=14'] Exploring Operation: 6*14=84, Resulting Numbers: [68, 84] Generated Node #3: [68, 84] from Operation: 6*14=84 Current State: 16:[68, 84], Operations: ['97-83=14', '6*14=84'] Exploring Operation: 84-68=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 49, 7, 36, 70 ]
90
[ "49+7=56", "70-36=34", "56+34=90" ]
Current State: 90:[49, 7, 36, 70], Operations: [] Exploring Operation: 49+7=56, Resulting Numbers: [36, 70, 56] Generated Node #2: [36, 70, 56] from Operation: 49+7=56 Current State: 90:[36, 70, 56], Operations: ['49+7=56'] Exploring Operation: 70-36=34, Resulting Numbers: [56, 34] Generated Node #3: [56, 34] from Operation: 70-36=34 Current State: 90:[56, 34], Operations: ['49+7=56', '70-36=34'] Exploring Operation: 56+34=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 89, 25, 15, 92 ]
30
[ "92-89=3", "25-15=10", "3*10=30" ]
Current State: 30:[89, 25, 15, 92], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [25, 15, 3] Generated Node #2: [25, 15, 3] from Operation: 92-89=3 Current State: 30:[25, 15, 3], Operations: ['92-89=3'] Exploring Operation: 25-15=10, Resulting Numbers: [3, 10] Generated Node #3: [3, 10] from Operation: 25-15=10 Current State: 30:[3, 10], Operations: ['92-89=3', '25-15=10'] Exploring Operation: 3*10=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 17, 14, 69, 44 ]
63
[ "17-14=3", "44*3=132", "132-69=63" ]
Current State: 63:[17, 14, 69, 44], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [69, 44, 3] Generated Node #2: [69, 44, 3] from Operation: 17-14=3 Current State: 63:[69, 44, 3], Operations: ['17-14=3'] Exploring Operation: 44*3=132, Resulting Numbers: [69, 132] Generated Node #3: [69, 132] from Operation: 44*3=132 Current State: 63:[69, 132], Operations: ['17-14=3', '44*3=132'] Exploring Operation: 132-69=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 7, 92, 4, 34 ]
22
[ "92+34=126", "126/7=18", "4+18=22" ]
Current State: 22:[7, 92, 4, 34], Operations: [] Exploring Operation: 92+34=126, Resulting Numbers: [7, 4, 126] Generated Node #2: [7, 4, 126] from Operation: 92+34=126 Current State: 22:[7, 4, 126], Operations: ['92+34=126'] Exploring Operation: 126/7=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 126/7=18 Current State: 22:[4, 18], Operations: ['92+34=126', '126/7=18'] Exploring Operation: 4+18=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 48, 29, 35, 84 ]
30
[ "48-29=19", "84-35=49", "49-19=30" ]
Current State: 30:[48, 29, 35, 84], Operations: [] Exploring Operation: 48-29=19, Resulting Numbers: [35, 84, 19] Generated Node #2: [35, 84, 19] from Operation: 48-29=19 Current State: 30:[35, 84, 19], Operations: ['48-29=19'] Exploring Operation: 84-35=49, Resulting Numbers: [19, 49] Generated Node #3: [19, 49] from Operation: 84-35=49 Current State: 30:[19, 49], Operations: ['48-29=19', '84-35=49'] Exploring Operation: 49-19=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 16, 31, 83 ]
84
[ "2*16=32", "83-31=52", "32+52=84" ]
Current State: 84:[2, 16, 31, 83], Operations: [] Exploring Operation: 2*16=32, Resulting Numbers: [31, 83, 32] Generated Node #2: [31, 83, 32] from Operation: 2*16=32 Current State: 84:[31, 83, 32], Operations: ['2*16=32'] Exploring Operation: 83-31=52, Resulting Numbers: [32, 52] Generated Node #3: [32, 52] from Operation: 83-31=52 Current State: 84:[32, 52], Operations: ['2*16=32', '83-31=52'] Exploring Operation: 32+52=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 81, 36, 22, 9 ]
26
[ "81/9=9", "36/9=4", "22+4=26" ]
Current State: 26:[81, 36, 22, 9], Operations: [] Exploring Operation: 81/9=9, Resulting Numbers: [36, 22, 9] Generated Node #2: [36, 22, 9] from Operation: 81/9=9 Current State: 26:[36, 22, 9], Operations: ['81/9=9'] Exploring Operation: 36/9=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 36/9=4 Current State: 26:[22, 4], Operations: ['81/9=9', '36/9=4'] Exploring Operation: 22+4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 43, 70, 39, 34 ]
46
[ "70-43=27", "39+34=73", "73-27=46" ]
Current State: 46:[43, 70, 39, 34], Operations: [] Exploring Operation: 70-43=27, Resulting Numbers: [39, 34, 27] Generated Node #2: [39, 34, 27] from Operation: 70-43=27 Current State: 46:[39, 34, 27], Operations: ['70-43=27'] Exploring Operation: 39+34=73, Resulting Numbers: [27, 73] Generated Node #3: [27, 73] from Operation: 39+34=73 Current State: 46:[27, 73], Operations: ['70-43=27', '39+34=73'] Exploring Operation: 73-27=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 14, 60, 33, 13 ]
94
[ "14+60=74", "33-13=20", "74+20=94" ]
Current State: 94:[14, 60, 33, 13], Operations: [] Exploring Operation: 14+60=74, Resulting Numbers: [33, 13, 74] Generated Node #2: [33, 13, 74] from Operation: 14+60=74 Current State: 94:[33, 13, 74], Operations: ['14+60=74'] Exploring Operation: 33-13=20, Resulting Numbers: [74, 20] Generated Node #3: [74, 20] from Operation: 33-13=20 Current State: 94:[74, 20], Operations: ['14+60=74', '33-13=20'] Exploring Operation: 74+20=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 29, 58, 25, 18 ]
86
[ "58/29=2", "25+18=43", "2*43=86" ]
Current State: 86:[29, 58, 25, 18], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [25, 18, 2] Generated Node #2: [25, 18, 2] from Operation: 58/29=2 Current State: 86:[25, 18, 2], Operations: ['58/29=2'] Exploring Operation: 25+18=43, Resulting Numbers: [2, 43] Generated Node #3: [2, 43] from Operation: 25+18=43 Current State: 86:[2, 43], Operations: ['58/29=2', '25+18=43'] Exploring Operation: 2*43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 75, 77, 56, 40 ]
94
[ "77-75=2", "56+40=96", "96-2=94" ]
Current State: 94:[75, 77, 56, 40], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [56, 40, 2] Generated Node #2: [56, 40, 2] from Operation: 77-75=2 Current State: 94:[56, 40, 2], Operations: ['77-75=2'] Exploring Operation: 56+40=96, Resulting Numbers: [2, 96] Generated Node #3: [2, 96] from Operation: 56+40=96 Current State: 94:[2, 96], Operations: ['77-75=2', '56+40=96'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 5, 8, 2, 54 ]
60
[ "8-5=3", "2*3=6", "54+6=60" ]
Current State: 60:[5, 8, 2, 54], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [2, 54, 3] Generated Node #2: [2, 54, 3] from Operation: 8-5=3 Current State: 60:[2, 54, 3], Operations: ['8-5=3'] Exploring Operation: 2*3=6, Resulting Numbers: [54, 6] Generated Node #3: [54, 6] from Operation: 2*3=6 Current State: 60:[54, 6], Operations: ['8-5=3', '2*3=6'] Exploring Operation: 54+6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 67, 43, 86, 8 ]
71
[ "86/43=2", "8/2=4", "67+4=71" ]
Current State: 71:[67, 43, 86, 8], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [67, 8, 2] Generated Node #2: [67, 8, 2] from Operation: 86/43=2 Current State: 71:[67, 8, 2], Operations: ['86/43=2'] Exploring Operation: 8/2=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 8/2=4 Current State: 71:[67, 4], Operations: ['86/43=2', '8/2=4'] Exploring Operation: 67+4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 52, 47, 23, 23 ]
47
[ "23-23=0", "52*0=0", "47+0=47" ]
Current State: 47:[52, 47, 23, 23], Operations: [] Exploring Operation: 23-23=0, Resulting Numbers: [52, 47, 0] Generated Node #2: [52, 47, 0] from Operation: 23-23=0 Current State: 47:[52, 47, 0], Operations: ['23-23=0'] Exploring Operation: 52*0=0, Resulting Numbers: [47, 0] Generated Node #3: [47, 0] from Operation: 52*0=0 Current State: 47:[47, 0], Operations: ['23-23=0', '52*0=0'] Exploring Operation: 47+0=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 68, 24, 80, 75 ]
49
[ "68-24=44", "80-75=5", "44+5=49" ]
Current State: 49:[68, 24, 80, 75], Operations: [] Exploring Operation: 68-24=44, Resulting Numbers: [80, 75, 44] Generated Node #2: [80, 75, 44] from Operation: 68-24=44 Current State: 49:[80, 75, 44], Operations: ['68-24=44'] Exploring Operation: 80-75=5, Resulting Numbers: [44, 5] Generated Node #3: [44, 5] from Operation: 80-75=5 Current State: 49:[44, 5], Operations: ['68-24=44', '80-75=5'] Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 47, 4, 77, 79 ]
98
[ "79-77=2", "47*2=94", "4+94=98" ]
Current State: 98:[47, 4, 77, 79], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [47, 4, 2] Generated Node #2: [47, 4, 2] from Operation: 79-77=2 Current State: 98:[47, 4, 2], Operations: ['79-77=2'] Exploring Operation: 47*2=94, Resulting Numbers: [4, 94] Generated Node #3: [4, 94] from Operation: 47*2=94 Current State: 98:[4, 94], Operations: ['79-77=2', '47*2=94'] Exploring Operation: 4+94=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 67, 12, 42, 6 ]
64
[ "42-6=36", "36/12=3", "67-3=64" ]
Current State: 64:[67, 12, 42, 6], Operations: [] Exploring Operation: 42-6=36, Resulting Numbers: [67, 12, 36] Generated Node #2: [67, 12, 36] from Operation: 42-6=36 Current State: 64:[67, 12, 36], Operations: ['42-6=36'] Exploring Operation: 36/12=3, Resulting Numbers: [67, 3] Generated Node #3: [67, 3] from Operation: 36/12=3 Current State: 64:[67, 3], Operations: ['42-6=36', '36/12=3'] Exploring Operation: 67-3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 80, 94, 94, 53 ]
80
[ "94-94=0", "53*0=0", "80+0=80" ]
Current State: 80:[80, 94, 94, 53], Operations: [] Exploring Operation: 94-94=0, Resulting Numbers: [80, 53, 0] Generated Node #2: [80, 53, 0] from Operation: 94-94=0 Current State: 80:[80, 53, 0], Operations: ['94-94=0'] Exploring Operation: 53*0=0, Resulting Numbers: [80, 0] Generated Node #3: [80, 0] from Operation: 53*0=0 Current State: 80:[80, 0], Operations: ['94-94=0', '53*0=0'] Exploring Operation: 80+0=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 81, 57, 9, 38 ]
91
[ "81+57=138", "9+38=47", "138-47=91" ]
Current State: 91:[81, 57, 9, 38], Operations: [] Exploring Operation: 81+57=138, Resulting Numbers: [9, 38, 138] Generated Node #2: [9, 38, 138] from Operation: 81+57=138 Current State: 91:[9, 38, 138], Operations: ['81+57=138'] Exploring Operation: 9+38=47, Resulting Numbers: [138, 47] Generated Node #3: [138, 47] from Operation: 9+38=47 Current State: 91:[138, 47], Operations: ['81+57=138', '9+38=47'] Exploring Operation: 138-47=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 7, 82, 93, 7 ]
60
[ "7*7=49", "93-82=11", "49+11=60" ]
Current State: 60:[7, 82, 93, 7], Operations: [] Exploring Operation: 7*7=49, Resulting Numbers: [82, 93, 49] Generated Node #2: [82, 93, 49] from Operation: 7*7=49 Current State: 60:[82, 93, 49], Operations: ['7*7=49'] Exploring Operation: 93-82=11, Resulting Numbers: [49, 11] Generated Node #3: [49, 11] from Operation: 93-82=11 Current State: 60:[49, 11], Operations: ['7*7=49', '93-82=11'] Exploring Operation: 49+11=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 66, 90, 30, 76 ]
95
[ "90-66=24", "30*76=2280", "2280/24=95" ]
Current State: 95:[66, 90, 30, 76], Operations: [] Exploring Operation: 90-66=24, Resulting Numbers: [30, 76, 24] Generated Node #2: [30, 76, 24] from Operation: 90-66=24 Current State: 95:[30, 76, 24], Operations: ['90-66=24'] Exploring Operation: 30*76=2280, Resulting Numbers: [24, 2280] Generated Node #3: [24, 2280] from Operation: 30*76=2280 Current State: 95:[24, 2280], Operations: ['90-66=24', '30*76=2280'] Exploring Operation: 2280/24=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 70, 53, 71, 9 ]
35
[ "70*9=630", "71-53=18", "630/18=35" ]
Current State: 35:[70, 53, 71, 9], Operations: [] Exploring Operation: 70*9=630, Resulting Numbers: [53, 71, 630] Generated Node #2: [53, 71, 630] from Operation: 70*9=630 Current State: 35:[53, 71, 630], Operations: ['70*9=630'] Exploring Operation: 71-53=18, Resulting Numbers: [630, 18] Generated Node #3: [630, 18] from Operation: 71-53=18 Current State: 35:[630, 18], Operations: ['70*9=630', '71-53=18'] Exploring Operation: 630/18=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 33, 55, 84, 77 ]
27
[ "55*84=4620", "4620/77=60", "60-33=27" ]
Current State: 27:[33, 55, 84, 77], Operations: [] Exploring Operation: 55*84=4620, Resulting Numbers: [33, 77, 4620] Generated Node #2: [33, 77, 4620] from Operation: 55*84=4620 Current State: 27:[33, 77, 4620], Operations: ['55*84=4620'] Exploring Operation: 4620/77=60, Resulting Numbers: [33, 60] Generated Node #3: [33, 60] from Operation: 4620/77=60 Current State: 27:[33, 60], Operations: ['55*84=4620', '4620/77=60'] Exploring Operation: 60-33=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 7, 87, 58, 28 ]
35
[ "87*28=2436", "2436/58=42", "42-7=35" ]
Current State: 35:[7, 87, 58, 28], Operations: [] Exploring Operation: 87*28=2436, Resulting Numbers: [7, 58, 2436] Generated Node #2: [7, 58, 2436] from Operation: 87*28=2436 Current State: 35:[7, 58, 2436], Operations: ['87*28=2436'] Exploring Operation: 2436/58=42, Resulting Numbers: [7, 42] Generated Node #3: [7, 42] from Operation: 2436/58=42 Current State: 35:[7, 42], Operations: ['87*28=2436', '2436/58=42'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 2, 10, 72, 10 ]
64
[ "72/2=36", "10*10=100", "100-36=64" ]
Current State: 64:[2, 10, 72, 10], Operations: [] Exploring Operation: 72/2=36, Resulting Numbers: [10, 10, 36] Generated Node #2: [10, 10, 36] from Operation: 72/2=36 Current State: 64:[10, 10, 36], Operations: ['72/2=36'] Exploring Operation: 10*10=100, Resulting Numbers: [36, 100] Generated Node #3: [36, 100] from Operation: 10*10=100 Current State: 64:[36, 100], Operations: ['72/2=36', '10*10=100'] Exploring Operation: 100-36=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 90, 5, 45, 58 ]
61
[ "90/45=2", "5+58=63", "63-2=61" ]
Current State: 61:[90, 5, 45, 58], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [5, 58, 2] Generated Node #2: [5, 58, 2] from Operation: 90/45=2 Current State: 61:[5, 58, 2], Operations: ['90/45=2'] Exploring Operation: 5+58=63, Resulting Numbers: [2, 63] Generated Node #3: [2, 63] from Operation: 5+58=63 Current State: 61:[2, 63], Operations: ['90/45=2', '5+58=63'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 14, 90, 44, 4 ]
78
[ "14*4=56", "90+44=134", "134-56=78" ]
Current State: 78:[14, 90, 44, 4], Operations: [] Exploring Operation: 14*4=56, Resulting Numbers: [90, 44, 56] Generated Node #2: [90, 44, 56] from Operation: 14*4=56 Current State: 78:[90, 44, 56], Operations: ['14*4=56'] Exploring Operation: 90+44=134, Resulting Numbers: [56, 134] Generated Node #3: [56, 134] from Operation: 90+44=134 Current State: 78:[56, 134], Operations: ['14*4=56', '90+44=134'] Exploring Operation: 134-56=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 48, 59, 27, 2 ]
76
[ "59-48=11", "27+11=38", "2*38=76" ]
Current State: 76:[48, 59, 27, 2], Operations: [] Exploring Operation: 59-48=11, Resulting Numbers: [27, 2, 11] Generated Node #2: [27, 2, 11] from Operation: 59-48=11 Current State: 76:[27, 2, 11], Operations: ['59-48=11'] Exploring Operation: 27+11=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 27+11=38 Current State: 76:[2, 38], Operations: ['59-48=11', '27+11=38'] Exploring Operation: 2*38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 8, 74, 2, 18 ]
37
[ "8*74=592", "18-2=16", "592/16=37" ]
Current State: 37:[8, 74, 2, 18], Operations: [] Exploring Operation: 8*74=592, Resulting Numbers: [2, 18, 592] Generated Node #2: [2, 18, 592] from Operation: 8*74=592 Current State: 37:[2, 18, 592], Operations: ['8*74=592'] Exploring Operation: 18-2=16, Resulting Numbers: [592, 16] Generated Node #3: [592, 16] from Operation: 18-2=16 Current State: 37:[592, 16], Operations: ['8*74=592', '18-2=16'] Exploring Operation: 592/16=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 19, 91, 45, 44 ]
73
[ "91-19=72", "45-44=1", "72+1=73" ]
Current State: 73:[19, 91, 45, 44], Operations: [] Exploring Operation: 91-19=72, Resulting Numbers: [45, 44, 72] Generated Node #2: [45, 44, 72] from Operation: 91-19=72 Current State: 73:[45, 44, 72], Operations: ['91-19=72'] Exploring Operation: 45-44=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 45-44=1 Current State: 73:[72, 1], Operations: ['91-19=72', '45-44=1'] Exploring Operation: 72+1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 32, 60, 48, 50 ]
76
[ "50-48=2", "32/2=16", "60+16=76" ]
Current State: 76:[32, 60, 48, 50], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [32, 60, 2] Generated Node #2: [32, 60, 2] from Operation: 50-48=2 Current State: 76:[32, 60, 2], Operations: ['50-48=2'] Exploring Operation: 32/2=16, Resulting Numbers: [60, 16] Generated Node #3: [60, 16] from Operation: 32/2=16 Current State: 76:[60, 16], Operations: ['50-48=2', '32/2=16'] Exploring Operation: 60+16=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 67, 53, 38, 50 ]
26
[ "67-53=14", "50-38=12", "14+12=26" ]
Current State: 26:[67, 53, 38, 50], Operations: [] Exploring Operation: 67-53=14, Resulting Numbers: [38, 50, 14] Generated Node #2: [38, 50, 14] from Operation: 67-53=14 Current State: 26:[38, 50, 14], Operations: ['67-53=14'] Exploring Operation: 50-38=12, Resulting Numbers: [14, 12] Generated Node #3: [14, 12] from Operation: 50-38=12 Current State: 26:[14, 12], Operations: ['67-53=14', '50-38=12'] Exploring Operation: 14+12=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 97, 6, 8, 45 ]
39
[ "97-45=52", "6*52=312", "312/8=39" ]
Current State: 39:[97, 6, 8, 45], Operations: [] Exploring Operation: 97-45=52, Resulting Numbers: [6, 8, 52] Generated Node #2: [6, 8, 52] from Operation: 97-45=52 Current State: 39:[6, 8, 52], Operations: ['97-45=52'] Exploring Operation: 6*52=312, Resulting Numbers: [8, 312] Generated Node #3: [8, 312] from Operation: 6*52=312 Current State: 39:[8, 312], Operations: ['97-45=52', '6*52=312'] Exploring Operation: 312/8=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 61, 69, 67, 60 ]
59
[ "67-61=6", "60/6=10", "69-10=59" ]
Current State: 59:[61, 69, 67, 60], Operations: [] Exploring Operation: 67-61=6, Resulting Numbers: [69, 60, 6] Generated Node #2: [69, 60, 6] from Operation: 67-61=6 Current State: 59:[69, 60, 6], Operations: ['67-61=6'] Exploring Operation: 60/6=10, Resulting Numbers: [69, 10] Generated Node #3: [69, 10] from Operation: 60/6=10 Current State: 59:[69, 10], Operations: ['67-61=6', '60/6=10'] Exploring Operation: 69-10=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 69, 39, 96, 99 ]
87
[ "69+39=108", "96+99=195", "195-108=87" ]
Current State: 87:[69, 39, 96, 99], Operations: [] Exploring Operation: 69+39=108, Resulting Numbers: [96, 99, 108] Generated Node #2: [96, 99, 108] from Operation: 69+39=108 Current State: 87:[96, 99, 108], Operations: ['69+39=108'] Exploring Operation: 96+99=195, Resulting Numbers: [108, 195] Generated Node #3: [108, 195] from Operation: 96+99=195 Current State: 87:[108, 195], Operations: ['69+39=108', '96+99=195'] Exploring Operation: 195-108=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 26, 25, 6, 14 ]
23
[ "26-14=12", "12/6=2", "25-2=23" ]
Current State: 23:[26, 25, 6, 14], Operations: [] Exploring Operation: 26-14=12, Resulting Numbers: [25, 6, 12] Generated Node #2: [25, 6, 12] from Operation: 26-14=12 Current State: 23:[25, 6, 12], Operations: ['26-14=12'] Exploring Operation: 12/6=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 12/6=2 Current State: 23:[25, 2], Operations: ['26-14=12', '12/6=2'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 74, 6, 64, 37 ]
88
[ "64-37=27", "6*27=162", "162-74=88" ]
Current State: 88:[74, 6, 64, 37], Operations: [] Exploring Operation: 64-37=27, Resulting Numbers: [74, 6, 27] Generated Node #2: [74, 6, 27] from Operation: 64-37=27 Current State: 88:[74, 6, 27], Operations: ['64-37=27'] Exploring Operation: 6*27=162, Resulting Numbers: [74, 162] Generated Node #3: [74, 162] from Operation: 6*27=162 Current State: 88:[74, 162], Operations: ['64-37=27', '6*27=162'] Exploring Operation: 162-74=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 24, 56, 56, 10 ]
10
[ "56-56=0", "24*0=0", "10+0=10" ]
Current State: 10:[24, 56, 56, 10], Operations: [] Exploring Operation: 56-56=0, Resulting Numbers: [24, 10, 0] Generated Node #2: [24, 10, 0] from Operation: 56-56=0 Current State: 10:[24, 10, 0], Operations: ['56-56=0'] Exploring Operation: 24*0=0, Resulting Numbers: [10, 0] Generated Node #3: [10, 0] from Operation: 24*0=0 Current State: 10:[10, 0], Operations: ['56-56=0', '24*0=0'] Exploring Operation: 10+0=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 5, 62, 16, 21 ]
52
[ "62-5=57", "21-16=5", "57-5=52" ]
Current State: 52:[5, 62, 16, 21], Operations: [] Exploring Operation: 62-5=57, Resulting Numbers: [16, 21, 57] Generated Node #2: [16, 21, 57] from Operation: 62-5=57 Current State: 52:[16, 21, 57], Operations: ['62-5=57'] Exploring Operation: 21-16=5, Resulting Numbers: [57, 5] Generated Node #3: [57, 5] from Operation: 21-16=5 Current State: 52:[57, 5], Operations: ['62-5=57', '21-16=5'] Exploring Operation: 57-5=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 73, 17, 28, 88 ]
81
[ "28-17=11", "88/11=8", "73+8=81" ]
Current State: 81:[73, 17, 28, 88], Operations: [] Exploring Operation: 28-17=11, Resulting Numbers: [73, 88, 11] Generated Node #2: [73, 88, 11] from Operation: 28-17=11 Current State: 81:[73, 88, 11], Operations: ['28-17=11'] Exploring Operation: 88/11=8, Resulting Numbers: [73, 8] Generated Node #3: [73, 8] from Operation: 88/11=8 Current State: 81:[73, 8], Operations: ['28-17=11', '88/11=8'] Exploring Operation: 73+8=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 23, 36, 21, 92 ]
60
[ "92/23=4", "36-21=15", "4*15=60" ]
Current State: 60:[23, 36, 21, 92], Operations: [] Exploring Operation: 92/23=4, Resulting Numbers: [36, 21, 4] Generated Node #2: [36, 21, 4] from Operation: 92/23=4 Current State: 60:[36, 21, 4], Operations: ['92/23=4'] Exploring Operation: 36-21=15, Resulting Numbers: [4, 15] Generated Node #3: [4, 15] from Operation: 36-21=15 Current State: 60:[4, 15], Operations: ['92/23=4', '36-21=15'] Exploring Operation: 4*15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 60, 45, 13, 15 ]
54
[ "60/15=4", "45+13=58", "58-4=54" ]
Current State: 54:[60, 45, 13, 15], Operations: [] Exploring Operation: 60/15=4, Resulting Numbers: [45, 13, 4] Generated Node #2: [45, 13, 4] from Operation: 60/15=4 Current State: 54:[45, 13, 4], Operations: ['60/15=4'] Exploring Operation: 45+13=58, Resulting Numbers: [4, 58] Generated Node #3: [4, 58] from Operation: 45+13=58 Current State: 54:[4, 58], Operations: ['60/15=4', '45+13=58'] Exploring Operation: 58-4=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 82, 70, 7, 77 ]
58
[ "82-70=12", "77-7=70", "70-12=58" ]
Current State: 58:[82, 70, 7, 77], Operations: [] Exploring Operation: 82-70=12, Resulting Numbers: [7, 77, 12] Generated Node #2: [7, 77, 12] from Operation: 82-70=12 Current State: 58:[7, 77, 12], Operations: ['82-70=12'] Exploring Operation: 77-7=70, Resulting Numbers: [12, 70] Generated Node #3: [12, 70] from Operation: 77-7=70 Current State: 58:[12, 70], Operations: ['82-70=12', '77-7=70'] Exploring Operation: 70-12=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 35, 83, 86, 63 ]
71
[ "83-35=48", "86-63=23", "48+23=71" ]
Current State: 71:[35, 83, 86, 63], Operations: [] Exploring Operation: 83-35=48, Resulting Numbers: [86, 63, 48] Generated Node #2: [86, 63, 48] from Operation: 83-35=48 Current State: 71:[86, 63, 48], Operations: ['83-35=48'] Exploring Operation: 86-63=23, Resulting Numbers: [48, 23] Generated Node #3: [48, 23] from Operation: 86-63=23 Current State: 71:[48, 23], Operations: ['83-35=48', '86-63=23'] Exploring Operation: 48+23=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 91, 30, 72, 17 ]
60
[ "91-72=19", "19-17=2", "30*2=60" ]
Current State: 60:[91, 30, 72, 17], Operations: [] Exploring Operation: 91-72=19, Resulting Numbers: [30, 17, 19] Generated Node #2: [30, 17, 19] from Operation: 91-72=19 Current State: 60:[30, 17, 19], Operations: ['91-72=19'] Exploring Operation: 19-17=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 19-17=2 Current State: 60:[30, 2], Operations: ['91-72=19', '19-17=2'] Exploring Operation: 30*2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 93, 88, 60, 38 ]
97
[ "60-38=22", "88/22=4", "93+4=97" ]
Current State: 97:[93, 88, 60, 38], Operations: [] Exploring Operation: 60-38=22, Resulting Numbers: [93, 88, 22] Generated Node #2: [93, 88, 22] from Operation: 60-38=22 Current State: 97:[93, 88, 22], Operations: ['60-38=22'] Exploring Operation: 88/22=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 88/22=4 Current State: 97:[93, 4], Operations: ['60-38=22', '88/22=4'] Exploring Operation: 93+4=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 4, 99, 93, 7 ]
17
[ "4+99=103", "93-7=86", "103-86=17" ]
Current State: 17:[4, 99, 93, 7], Operations: [] Exploring Operation: 4+99=103, Resulting Numbers: [93, 7, 103] Generated Node #2: [93, 7, 103] from Operation: 4+99=103 Current State: 17:[93, 7, 103], Operations: ['4+99=103'] Exploring Operation: 93-7=86, Resulting Numbers: [103, 86] Generated Node #3: [103, 86] from Operation: 93-7=86 Current State: 17:[103, 86], Operations: ['4+99=103', '93-7=86'] Exploring Operation: 103-86=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 19, 44, 24, 1 ]
50
[ "44-19=25", "24+1=25", "25+25=50" ]
Current State: 50:[19, 44, 24, 1], Operations: [] Exploring Operation: 44-19=25, Resulting Numbers: [24, 1, 25] Generated Node #2: [24, 1, 25] from Operation: 44-19=25 Current State: 50:[24, 1, 25], Operations: ['44-19=25'] Exploring Operation: 24+1=25, Resulting Numbers: [25, 25] Generated Node #3: [25, 25] from Operation: 24+1=25 Current State: 50:[25, 25], Operations: ['44-19=25', '24+1=25'] Exploring Operation: 25+25=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 21, 68, 9, 58 ]
22
[ "21+68=89", "9+58=67", "89-67=22" ]
Current State: 22:[21, 68, 9, 58], Operations: [] Exploring Operation: 21+68=89, Resulting Numbers: [9, 58, 89] Generated Node #2: [9, 58, 89] from Operation: 21+68=89 Current State: 22:[9, 58, 89], Operations: ['21+68=89'] Exploring Operation: 9+58=67, Resulting Numbers: [89, 67] Generated Node #3: [89, 67] from Operation: 9+58=67 Current State: 22:[89, 67], Operations: ['21+68=89', '9+58=67'] Exploring Operation: 89-67=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 11, 93, 91, 34 ]
56
[ "93-91=2", "11*2=22", "34+22=56" ]
Current State: 56:[11, 93, 91, 34], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [11, 34, 2] Generated Node #2: [11, 34, 2] from Operation: 93-91=2 Current State: 56:[11, 34, 2], Operations: ['93-91=2'] Exploring Operation: 11*2=22, Resulting Numbers: [34, 22] Generated Node #3: [34, 22] from Operation: 11*2=22 Current State: 56:[34, 22], Operations: ['93-91=2', '11*2=22'] Exploring Operation: 34+22=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 42, 96, 32, 64 ]
22
[ "96-42=54", "64-32=32", "54-32=22" ]
Current State: 22:[42, 96, 32, 64], Operations: [] Exploring Operation: 96-42=54, Resulting Numbers: [32, 64, 54] Generated Node #2: [32, 64, 54] from Operation: 96-42=54 Current State: 22:[32, 64, 54], Operations: ['96-42=54'] Exploring Operation: 64-32=32, Resulting Numbers: [54, 32] Generated Node #3: [54, 32] from Operation: 64-32=32 Current State: 22:[54, 32], Operations: ['96-42=54', '64-32=32'] Exploring Operation: 54-32=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 82, 65, 28, 64 ]
19
[ "82-65=17", "64-28=36", "36-17=19" ]
Current State: 19:[82, 65, 28, 64], Operations: [] Exploring Operation: 82-65=17, Resulting Numbers: [28, 64, 17] Generated Node #2: [28, 64, 17] from Operation: 82-65=17 Current State: 19:[28, 64, 17], Operations: ['82-65=17'] Exploring Operation: 64-28=36, Resulting Numbers: [17, 36] Generated Node #3: [17, 36] from Operation: 64-28=36 Current State: 19:[17, 36], Operations: ['82-65=17', '64-28=36'] Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 18, 75, 38, 12 ]
27
[ "18*75=1350", "38+12=50", "1350/50=27" ]
Current State: 27:[18, 75, 38, 12], Operations: [] Exploring Operation: 18*75=1350, Resulting Numbers: [38, 12, 1350] Generated Node #2: [38, 12, 1350] from Operation: 18*75=1350 Current State: 27:[38, 12, 1350], Operations: ['18*75=1350'] Exploring Operation: 38+12=50, Resulting Numbers: [1350, 50] Generated Node #3: [1350, 50] from Operation: 38+12=50 Current State: 27:[1350, 50], Operations: ['18*75=1350', '38+12=50'] Exploring Operation: 1350/50=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 18, 67, 2, 25 ]
55
[ "18+67=85", "25+85=110", "110/2=55" ]
Current State: 55:[18, 67, 2, 25], Operations: [] Exploring Operation: 18+67=85, Resulting Numbers: [2, 25, 85] Generated Node #2: [2, 25, 85] from Operation: 18+67=85 Current State: 55:[2, 25, 85], Operations: ['18+67=85'] Exploring Operation: 25+85=110, Resulting Numbers: [2, 110] Generated Node #3: [2, 110] from Operation: 25+85=110 Current State: 55:[2, 110], Operations: ['18+67=85', '25+85=110'] Exploring Operation: 110/2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 16, 25, 42, 24 ]
57
[ "25-16=9", "42+24=66", "66-9=57" ]
Current State: 57:[16, 25, 42, 24], Operations: [] Exploring Operation: 25-16=9, Resulting Numbers: [42, 24, 9] Generated Node #2: [42, 24, 9] from Operation: 25-16=9 Current State: 57:[42, 24, 9], Operations: ['25-16=9'] Exploring Operation: 42+24=66, Resulting Numbers: [9, 66] Generated Node #3: [9, 66] from Operation: 42+24=66 Current State: 57:[9, 66], Operations: ['25-16=9', '42+24=66'] Exploring Operation: 66-9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 39, 72, 3, 32 ]
64
[ "39-3=36", "72*32=2304", "2304/36=64" ]
Current State: 64:[39, 72, 3, 32], Operations: [] Exploring Operation: 39-3=36, Resulting Numbers: [72, 32, 36] Generated Node #2: [72, 32, 36] from Operation: 39-3=36 Current State: 64:[72, 32, 36], Operations: ['39-3=36'] Exploring Operation: 72*32=2304, Resulting Numbers: [36, 2304] Generated Node #3: [36, 2304] from Operation: 72*32=2304 Current State: 64:[36, 2304], Operations: ['39-3=36', '72*32=2304'] Exploring Operation: 2304/36=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 47, 3, 40, 1 ]
21
[ "47-40=7", "3*1=3", "7*3=21" ]
Current State: 21:[47, 3, 40, 1], Operations: [] Exploring Operation: 47-40=7, Resulting Numbers: [3, 1, 7] Generated Node #2: [3, 1, 7] from Operation: 47-40=7 Current State: 21:[3, 1, 7], Operations: ['47-40=7'] Exploring Operation: 3*1=3, Resulting Numbers: [7, 3] Generated Node #3: [7, 3] from Operation: 3*1=3 Current State: 21:[7, 3], Operations: ['47-40=7', '3*1=3'] Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4