Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 9, 18, 50, 60 ]
70
[ "18/9=2", "60*2=120", "120-50=70" ]
Current State: 70:[9, 18, 50, 60], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [50, 60, 2] Generated Node #2: [50, 60, 2] from Operation: 18/9=2 Current State: 70:[50, 60, 2], Operations: ['18/9=2'] Exploring Operation: 60*2=120, Resulting Numbers: [50, 120] Generated Node #3: [50, 120] from Operation: 60*2=120 Current State: 70:[50, 120], Operations: ['18/9=2', '60*2=120'] Exploring Operation: 120-50=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 30, 54, 25, 70 ]
39
[ "30+54=84", "70-25=45", "84-45=39" ]
Current State: 39:[30, 54, 25, 70], Operations: [] Exploring Operation: 30+54=84, Resulting Numbers: [25, 70, 84] Generated Node #2: [25, 70, 84] from Operation: 30+54=84 Current State: 39:[25, 70, 84], Operations: ['30+54=84'] Exploring Operation: 70-25=45, Resulting Numbers: [84, 45] Generated Node #3: [84, 45] from Operation: 70-25=45 Current State: 39:[84, 45], Operations: ['30+54=84', '70-25=45'] Exploring Operation: 84-45=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 76, 19, 62, 22 ]
36
[ "76/19=4", "62-22=40", "40-4=36" ]
Current State: 36:[76, 19, 62, 22], Operations: [] Exploring Operation: 76/19=4, Resulting Numbers: [62, 22, 4] Generated Node #2: [62, 22, 4] from Operation: 76/19=4 Current State: 36:[62, 22, 4], Operations: ['76/19=4'] Exploring Operation: 62-22=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 62-22=40 Current State: 36:[4, 40], Operations: ['76/19=4', '62-22=40'] Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 87, 68, 38, 90 ]
71
[ "87-68=19", "90-38=52", "19+52=71" ]
Current State: 71:[87, 68, 38, 90], Operations: [] Exploring Operation: 87-68=19, Resulting Numbers: [38, 90, 19] Generated Node #2: [38, 90, 19] from Operation: 87-68=19 Current State: 71:[38, 90, 19], Operations: ['87-68=19'] Exploring Operation: 90-38=52, Resulting Numbers: [19, 52] Generated Node #3: [19, 52] from Operation: 90-38=52 Current State: 71:[19, 52], Operations: ['87-68=19', '90-38=52'] Exploring Operation: 19+52=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 41, 26, 85, 9 ]
31
[ "85*9=765", "41+765=806", "806/26=31" ]
Current State: 31:[41, 26, 85, 9], Operations: [] Exploring Operation: 85*9=765, Resulting Numbers: [41, 26, 765] Generated Node #2: [41, 26, 765] from Operation: 85*9=765 Current State: 31:[41, 26, 765], Operations: ['85*9=765'] Exploring Operation: 41+765=806, Resulting Numbers: [26, 806] Generated Node #3: [26, 806] from Operation: 41+765=806 Current State: 31:[26, 806], Operations: ['85*9=765', '41+765=806'] Exploring Operation: 806/26=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 19, 11, 55, 15 ]
21
[ "15-11=4", "19*4=76", "76-55=21" ]
Current State: 21:[19, 11, 55, 15], Operations: [] Exploring Operation: 15-11=4, Resulting Numbers: [19, 55, 4] Generated Node #2: [19, 55, 4] from Operation: 15-11=4 Current State: 21:[19, 55, 4], Operations: ['15-11=4'] Exploring Operation: 19*4=76, Resulting Numbers: [55, 76] Generated Node #3: [55, 76] from Operation: 19*4=76 Current State: 21:[55, 76], Operations: ['15-11=4', '19*4=76'] Exploring Operation: 76-55=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 5, 32, 27, 28 ]
38
[ "5+32=37", "28-27=1", "37+1=38" ]
Current State: 38:[5, 32, 27, 28], Operations: [] Exploring Operation: 5+32=37, Resulting Numbers: [27, 28, 37] Generated Node #2: [27, 28, 37] from Operation: 5+32=37 Current State: 38:[27, 28, 37], Operations: ['5+32=37'] Exploring Operation: 28-27=1, Resulting Numbers: [37, 1] Generated Node #3: [37, 1] from Operation: 28-27=1 Current State: 38:[37, 1], Operations: ['5+32=37', '28-27=1'] Exploring Operation: 37+1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 32, 83, 35, 58 ]
42
[ "83-32=51", "35+58=93", "93-51=42" ]
Current State: 42:[32, 83, 35, 58], Operations: [] Exploring Operation: 83-32=51, Resulting Numbers: [35, 58, 51] Generated Node #2: [35, 58, 51] from Operation: 83-32=51 Current State: 42:[35, 58, 51], Operations: ['83-32=51'] Exploring Operation: 35+58=93, Resulting Numbers: [51, 93] Generated Node #3: [51, 93] from Operation: 35+58=93 Current State: 42:[51, 93], Operations: ['83-32=51', '35+58=93'] Exploring Operation: 93-51=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 10, 90, 78, 4 ]
26
[ "10+90=100", "78-4=74", "100-74=26" ]
Current State: 26:[10, 90, 78, 4], Operations: [] Exploring Operation: 10+90=100, Resulting Numbers: [78, 4, 100] Generated Node #2: [78, 4, 100] from Operation: 10+90=100 Current State: 26:[78, 4, 100], Operations: ['10+90=100'] Exploring Operation: 78-4=74, Resulting Numbers: [100, 74] Generated Node #3: [100, 74] from Operation: 78-4=74 Current State: 26:[100, 74], Operations: ['10+90=100', '78-4=74'] Exploring Operation: 100-74=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 39, 59, 45, 44 ]
20
[ "59-39=20", "45-44=1", "20*1=20" ]
Current State: 20:[39, 59, 45, 44], Operations: [] Exploring Operation: 59-39=20, Resulting Numbers: [45, 44, 20] Generated Node #2: [45, 44, 20] from Operation: 59-39=20 Current State: 20:[45, 44, 20], Operations: ['59-39=20'] Exploring Operation: 45-44=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 45-44=1 Current State: 20:[20, 1], Operations: ['59-39=20', '45-44=1'] Exploring Operation: 20*1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 64, 6, 29, 36 ]
65
[ "64-6=58", "36-29=7", "58+7=65" ]
Current State: 65:[64, 6, 29, 36], Operations: [] Exploring Operation: 64-6=58, Resulting Numbers: [29, 36, 58] Generated Node #2: [29, 36, 58] from Operation: 64-6=58 Current State: 65:[29, 36, 58], Operations: ['64-6=58'] Exploring Operation: 36-29=7, Resulting Numbers: [58, 7] Generated Node #3: [58, 7] from Operation: 36-29=7 Current State: 65:[58, 7], Operations: ['64-6=58', '36-29=7'] Exploring Operation: 58+7=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 21, 82, 30, 54 ]
76
[ "30-21=9", "54/9=6", "82-6=76" ]
Current State: 76:[21, 82, 30, 54], Operations: [] Exploring Operation: 30-21=9, Resulting Numbers: [82, 54, 9] Generated Node #2: [82, 54, 9] from Operation: 30-21=9 Current State: 76:[82, 54, 9], Operations: ['30-21=9'] Exploring Operation: 54/9=6, Resulting Numbers: [82, 6] Generated Node #3: [82, 6] from Operation: 54/9=6 Current State: 76:[82, 6], Operations: ['30-21=9', '54/9=6'] Exploring Operation: 82-6=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 44, 41, 94, 49 ]
58
[ "44+41=85", "94+49=143", "143-85=58" ]
Current State: 58:[44, 41, 94, 49], Operations: [] Exploring Operation: 44+41=85, Resulting Numbers: [94, 49, 85] Generated Node #2: [94, 49, 85] from Operation: 44+41=85 Current State: 58:[94, 49, 85], Operations: ['44+41=85'] Exploring Operation: 94+49=143, Resulting Numbers: [85, 143] Generated Node #3: [85, 143] from Operation: 94+49=143 Current State: 58:[85, 143], Operations: ['44+41=85', '94+49=143'] Exploring Operation: 143-85=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 6, 17, 32, 47 ]
23
[ "6*17=102", "32+47=79", "102-79=23" ]
Current State: 23:[6, 17, 32, 47], Operations: [] Exploring Operation: 6*17=102, Resulting Numbers: [32, 47, 102] Generated Node #2: [32, 47, 102] from Operation: 6*17=102 Current State: 23:[32, 47, 102], Operations: ['6*17=102'] Exploring Operation: 32+47=79, Resulting Numbers: [102, 79] Generated Node #3: [102, 79] from Operation: 32+47=79 Current State: 23:[102, 79], Operations: ['6*17=102', '32+47=79'] Exploring Operation: 102-79=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 81, 34, 15, 53 ]
21
[ "81-34=47", "15+53=68", "68-47=21" ]
Current State: 21:[81, 34, 15, 53], Operations: [] Exploring Operation: 81-34=47, Resulting Numbers: [15, 53, 47] Generated Node #2: [15, 53, 47] from Operation: 81-34=47 Current State: 21:[15, 53, 47], Operations: ['81-34=47'] Exploring Operation: 15+53=68, Resulting Numbers: [47, 68] Generated Node #3: [47, 68] from Operation: 15+53=68 Current State: 21:[47, 68], Operations: ['81-34=47', '15+53=68'] Exploring Operation: 68-47=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 17, 46, 19, 66 ]
41
[ "19+66=85", "85/17=5", "46-5=41" ]
Current State: 41:[17, 46, 19, 66], Operations: [] Exploring Operation: 19+66=85, Resulting Numbers: [17, 46, 85] Generated Node #2: [17, 46, 85] from Operation: 19+66=85 Current State: 41:[17, 46, 85], Operations: ['19+66=85'] Exploring Operation: 85/17=5, Resulting Numbers: [46, 5] Generated Node #3: [46, 5] from Operation: 85/17=5 Current State: 41:[46, 5], Operations: ['19+66=85', '85/17=5'] Exploring Operation: 46-5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 23, 25, 61, 16 ]
58
[ "23+25=48", "48/16=3", "61-3=58" ]
Current State: 58:[23, 25, 61, 16], Operations: [] Exploring Operation: 23+25=48, Resulting Numbers: [61, 16, 48] Generated Node #2: [61, 16, 48] from Operation: 23+25=48 Current State: 58:[61, 16, 48], Operations: ['23+25=48'] Exploring Operation: 48/16=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 48/16=3 Current State: 58:[61, 3], Operations: ['23+25=48', '48/16=3'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 15, 37, 40, 80 ]
20
[ "37-15=22", "80/40=2", "22-2=20" ]
Current State: 20:[15, 37, 40, 80], Operations: [] Exploring Operation: 37-15=22, Resulting Numbers: [40, 80, 22] Generated Node #2: [40, 80, 22] from Operation: 37-15=22 Current State: 20:[40, 80, 22], Operations: ['37-15=22'] Exploring Operation: 80/40=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 80/40=2 Current State: 20:[22, 2], Operations: ['37-15=22', '80/40=2'] Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 4, 98, 24, 38 ]
54
[ "24/4=6", "98-38=60", "60-6=54" ]
Current State: 54:[4, 98, 24, 38], Operations: [] Exploring Operation: 24/4=6, Resulting Numbers: [98, 38, 6] Generated Node #2: [98, 38, 6] from Operation: 24/4=6 Current State: 54:[98, 38, 6], Operations: ['24/4=6'] Exploring Operation: 98-38=60, Resulting Numbers: [6, 60] Generated Node #3: [6, 60] from Operation: 98-38=60 Current State: 54:[6, 60], Operations: ['24/4=6', '98-38=60'] Exploring Operation: 60-6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 37, 12, 26, 15 ]
95
[ "26-15=11", "12*11=132", "132-37=95" ]
Current State: 95:[37, 12, 26, 15], Operations: [] Exploring Operation: 26-15=11, Resulting Numbers: [37, 12, 11] Generated Node #2: [37, 12, 11] from Operation: 26-15=11 Current State: 95:[37, 12, 11], Operations: ['26-15=11'] Exploring Operation: 12*11=132, Resulting Numbers: [37, 132] Generated Node #3: [37, 132] from Operation: 12*11=132 Current State: 95:[37, 132], Operations: ['26-15=11', '12*11=132'] Exploring Operation: 132-37=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 70, 21, 76, 5 ]
25
[ "70-21=49", "76+49=125", "125/5=25" ]
Current State: 25:[70, 21, 76, 5], Operations: [] Exploring Operation: 70-21=49, Resulting Numbers: [76, 5, 49] Generated Node #2: [76, 5, 49] from Operation: 70-21=49 Current State: 25:[76, 5, 49], Operations: ['70-21=49'] Exploring Operation: 76+49=125, Resulting Numbers: [5, 125] Generated Node #3: [5, 125] from Operation: 76+49=125 Current State: 25:[5, 125], Operations: ['70-21=49', '76+49=125'] Exploring Operation: 125/5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 13, 15, 51, 8 ]
61
[ "15-13=2", "51+8=59", "2+59=61" ]
Current State: 61:[13, 15, 51, 8], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [51, 8, 2] Generated Node #2: [51, 8, 2] from Operation: 15-13=2 Current State: 61:[51, 8, 2], Operations: ['15-13=2'] Exploring Operation: 51+8=59, Resulting Numbers: [2, 59] Generated Node #3: [2, 59] from Operation: 51+8=59 Current State: 61:[2, 59], Operations: ['15-13=2', '51+8=59'] Exploring Operation: 2+59=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 28, 26, 60, 98 ]
92
[ "28+26=54", "98-60=38", "54+38=92" ]
Current State: 92:[28, 26, 60, 98], Operations: [] Exploring Operation: 28+26=54, Resulting Numbers: [60, 98, 54] Generated Node #2: [60, 98, 54] from Operation: 28+26=54 Current State: 92:[60, 98, 54], Operations: ['28+26=54'] Exploring Operation: 98-60=38, Resulting Numbers: [54, 38] Generated Node #3: [54, 38] from Operation: 98-60=38 Current State: 92:[54, 38], Operations: ['28+26=54', '98-60=38'] Exploring Operation: 54+38=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 94, 65, 86, 17 ]
40
[ "94-65=29", "86-17=69", "69-29=40" ]
Current State: 40:[94, 65, 86, 17], Operations: [] Exploring Operation: 94-65=29, Resulting Numbers: [86, 17, 29] Generated Node #2: [86, 17, 29] from Operation: 94-65=29 Current State: 40:[86, 17, 29], Operations: ['94-65=29'] Exploring Operation: 86-17=69, Resulting Numbers: [29, 69] Generated Node #3: [29, 69] from Operation: 86-17=69 Current State: 40:[29, 69], Operations: ['94-65=29', '86-17=69'] Exploring Operation: 69-29=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 3, 1, 45, 64 ]
70
[ "3*45=135", "1+64=65", "135-65=70" ]
Current State: 70:[3, 1, 45, 64], Operations: [] Exploring Operation: 3*45=135, Resulting Numbers: [1, 64, 135] Generated Node #2: [1, 64, 135] from Operation: 3*45=135 Current State: 70:[1, 64, 135], Operations: ['3*45=135'] Exploring Operation: 1+64=65, Resulting Numbers: [135, 65] Generated Node #3: [135, 65] from Operation: 1+64=65 Current State: 70:[135, 65], Operations: ['3*45=135', '1+64=65'] Exploring Operation: 135-65=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 54, 29, 26, 4 ]
54
[ "29-26=3", "4-3=1", "54*1=54" ]
Current State: 54:[54, 29, 26, 4], Operations: [] Exploring Operation: 29-26=3, Resulting Numbers: [54, 4, 3] Generated Node #2: [54, 4, 3] from Operation: 29-26=3 Current State: 54:[54, 4, 3], Operations: ['29-26=3'] Exploring Operation: 4-3=1, Resulting Numbers: [54, 1] Generated Node #3: [54, 1] from Operation: 4-3=1 Current State: 54:[54, 1], Operations: ['29-26=3', '4-3=1'] Exploring Operation: 54*1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 29, 33, 29, 96 ]
62
[ "29/29=1", "96-33=63", "63-1=62" ]
Current State: 62:[29, 33, 29, 96], Operations: [] Exploring Operation: 29/29=1, Resulting Numbers: [33, 96, 1] Generated Node #2: [33, 96, 1] from Operation: 29/29=1 Current State: 62:[33, 96, 1], Operations: ['29/29=1'] Exploring Operation: 96-33=63, Resulting Numbers: [1, 63] Generated Node #3: [1, 63] from Operation: 96-33=63 Current State: 62:[1, 63], Operations: ['29/29=1', '96-33=63'] Exploring Operation: 63-1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 85, 39, 4, 9 ]
73
[ "39+9=48", "48/4=12", "85-12=73" ]
Current State: 73:[85, 39, 4, 9], Operations: [] Exploring Operation: 39+9=48, Resulting Numbers: [85, 4, 48] Generated Node #2: [85, 4, 48] from Operation: 39+9=48 Current State: 73:[85, 4, 48], Operations: ['39+9=48'] Exploring Operation: 48/4=12, Resulting Numbers: [85, 12] Generated Node #3: [85, 12] from Operation: 48/4=12 Current State: 73:[85, 12], Operations: ['39+9=48', '48/4=12'] Exploring Operation: 85-12=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 64, 10, 20, 8 ]
58
[ "64-8=56", "20/10=2", "56+2=58" ]
Current State: 58:[64, 10, 20, 8], Operations: [] Exploring Operation: 64-8=56, Resulting Numbers: [10, 20, 56] Generated Node #2: [10, 20, 56] from Operation: 64-8=56 Current State: 58:[10, 20, 56], Operations: ['64-8=56'] Exploring Operation: 20/10=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 20/10=2 Current State: 58:[56, 2], Operations: ['64-8=56', '20/10=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 2, 31, 26, 10 ]
46
[ "2*31=62", "26-10=16", "62-16=46" ]
Current State: 46:[2, 31, 26, 10], Operations: [] Exploring Operation: 2*31=62, Resulting Numbers: [26, 10, 62] Generated Node #2: [26, 10, 62] from Operation: 2*31=62 Current State: 46:[26, 10, 62], Operations: ['2*31=62'] Exploring Operation: 26-10=16, Resulting Numbers: [62, 16] Generated Node #3: [62, 16] from Operation: 26-10=16 Current State: 46:[62, 16], Operations: ['2*31=62', '26-10=16'] Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 48, 84, 85, 62 ]
13
[ "84-48=36", "85-62=23", "36-23=13" ]
Current State: 13:[48, 84, 85, 62], Operations: [] Exploring Operation: 84-48=36, Resulting Numbers: [85, 62, 36] Generated Node #2: [85, 62, 36] from Operation: 84-48=36 Current State: 13:[85, 62, 36], Operations: ['84-48=36'] Exploring Operation: 85-62=23, Resulting Numbers: [36, 23] Generated Node #3: [36, 23] from Operation: 85-62=23 Current State: 13:[36, 23], Operations: ['84-48=36', '85-62=23'] Exploring Operation: 36-23=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 62, 45, 70, 2 ]
49
[ "70-62=8", "8/2=4", "45+4=49" ]
Current State: 49:[62, 45, 70, 2], Operations: [] Exploring Operation: 70-62=8, Resulting Numbers: [45, 2, 8] Generated Node #2: [45, 2, 8] from Operation: 70-62=8 Current State: 49:[45, 2, 8], Operations: ['70-62=8'] Exploring Operation: 8/2=4, Resulting Numbers: [45, 4] Generated Node #3: [45, 4] from Operation: 8/2=4 Current State: 49:[45, 4], Operations: ['70-62=8', '8/2=4'] Exploring Operation: 45+4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 62, 71, 12, 61 ]
64
[ "71-62=9", "12+61=73", "73-9=64" ]
Current State: 64:[62, 71, 12, 61], Operations: [] Exploring Operation: 71-62=9, Resulting Numbers: [12, 61, 9] Generated Node #2: [12, 61, 9] from Operation: 71-62=9 Current State: 64:[12, 61, 9], Operations: ['71-62=9'] Exploring Operation: 12+61=73, Resulting Numbers: [9, 73] Generated Node #3: [9, 73] from Operation: 12+61=73 Current State: 64:[9, 73], Operations: ['71-62=9', '12+61=73'] Exploring Operation: 73-9=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 36, 26, 44, 5 ]
90
[ "36+26=62", "62-44=18", "5*18=90" ]
Current State: 90:[36, 26, 44, 5], Operations: [] Exploring Operation: 36+26=62, Resulting Numbers: [44, 5, 62] Generated Node #2: [44, 5, 62] from Operation: 36+26=62 Current State: 90:[44, 5, 62], Operations: ['36+26=62'] Exploring Operation: 62-44=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 62-44=18 Current State: 90:[5, 18], Operations: ['36+26=62', '62-44=18'] Exploring Operation: 5*18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 32, 66, 34, 99 ]
83
[ "34*99=3366", "3366/66=51", "32+51=83" ]
Current State: 83:[32, 66, 34, 99], Operations: [] Exploring Operation: 34*99=3366, Resulting Numbers: [32, 66, 3366] Generated Node #2: [32, 66, 3366] from Operation: 34*99=3366 Current State: 83:[32, 66, 3366], Operations: ['34*99=3366'] Exploring Operation: 3366/66=51, Resulting Numbers: [32, 51] Generated Node #3: [32, 51] from Operation: 3366/66=51 Current State: 83:[32, 51], Operations: ['34*99=3366', '3366/66=51'] Exploring Operation: 32+51=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 16, 14, 75, 6 ]
53
[ "14-6=8", "16*8=128", "128-75=53" ]
Current State: 53:[16, 14, 75, 6], Operations: [] Exploring Operation: 14-6=8, Resulting Numbers: [16, 75, 8] Generated Node #2: [16, 75, 8] from Operation: 14-6=8 Current State: 53:[16, 75, 8], Operations: ['14-6=8'] Exploring Operation: 16*8=128, Resulting Numbers: [75, 128] Generated Node #3: [75, 128] from Operation: 16*8=128 Current State: 53:[75, 128], Operations: ['14-6=8', '16*8=128'] Exploring Operation: 128-75=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 60, 95, 11 ]
26
[ "60-2=58", "95-11=84", "84-58=26" ]
Current State: 26:[2, 60, 95, 11], Operations: [] Exploring Operation: 60-2=58, Resulting Numbers: [95, 11, 58] Generated Node #2: [95, 11, 58] from Operation: 60-2=58 Current State: 26:[95, 11, 58], Operations: ['60-2=58'] Exploring Operation: 95-11=84, Resulting Numbers: [58, 84] Generated Node #3: [58, 84] from Operation: 95-11=84 Current State: 26:[58, 84], Operations: ['60-2=58', '95-11=84'] Exploring Operation: 84-58=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 29, 82, 58, 63 ]
63
[ "82+63=145", "145/29=5", "58+5=63" ]
Current State: 63:[29, 82, 58, 63], Operations: [] Exploring Operation: 82+63=145, Resulting Numbers: [29, 58, 145] Generated Node #2: [29, 58, 145] from Operation: 82+63=145 Current State: 63:[29, 58, 145], Operations: ['82+63=145'] Exploring Operation: 145/29=5, Resulting Numbers: [58, 5] Generated Node #3: [58, 5] from Operation: 145/29=5 Current State: 63:[58, 5], Operations: ['82+63=145', '145/29=5'] Exploring Operation: 58+5=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 58, 84, 4, 54 ]
85
[ "58-4=54", "54/54=1", "84+1=85" ]
Current State: 85:[58, 84, 4, 54], Operations: [] Exploring Operation: 58-4=54, Resulting Numbers: [84, 54, 54] Generated Node #2: [84, 54, 54] from Operation: 58-4=54 Current State: 85:[84, 54, 54], Operations: ['58-4=54'] Exploring Operation: 54/54=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 54/54=1 Current State: 85:[84, 1], Operations: ['58-4=54', '54/54=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 35, 37, 40, 15 ]
80
[ "40-37=3", "15*3=45", "35+45=80" ]
Current State: 80:[35, 37, 40, 15], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [35, 15, 3] Generated Node #2: [35, 15, 3] from Operation: 40-37=3 Current State: 80:[35, 15, 3], Operations: ['40-37=3'] Exploring Operation: 15*3=45, Resulting Numbers: [35, 45] Generated Node #3: [35, 45] from Operation: 15*3=45 Current State: 80:[35, 45], Operations: ['40-37=3', '15*3=45'] Exploring Operation: 35+45=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 22, 17, 96, 45 ]
12
[ "22+17=39", "96-45=51", "51-39=12" ]
Current State: 12:[22, 17, 96, 45], Operations: [] Exploring Operation: 22+17=39, Resulting Numbers: [96, 45, 39] Generated Node #2: [96, 45, 39] from Operation: 22+17=39 Current State: 12:[96, 45, 39], Operations: ['22+17=39'] Exploring Operation: 96-45=51, Resulting Numbers: [39, 51] Generated Node #3: [39, 51] from Operation: 96-45=51 Current State: 12:[39, 51], Operations: ['22+17=39', '96-45=51'] Exploring Operation: 51-39=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 95, 34, 55, 97 ]
23
[ "95+34=129", "55+97=152", "152-129=23" ]
Current State: 23:[95, 34, 55, 97], Operations: [] Exploring Operation: 95+34=129, Resulting Numbers: [55, 97, 129] Generated Node #2: [55, 97, 129] from Operation: 95+34=129 Current State: 23:[55, 97, 129], Operations: ['95+34=129'] Exploring Operation: 55+97=152, Resulting Numbers: [129, 152] Generated Node #3: [129, 152] from Operation: 55+97=152 Current State: 23:[129, 152], Operations: ['95+34=129', '55+97=152'] Exploring Operation: 152-129=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 45, 63, 72, 50 ]
86
[ "45+63=108", "72-50=22", "108-22=86" ]
Current State: 86:[45, 63, 72, 50], Operations: [] Exploring Operation: 45+63=108, Resulting Numbers: [72, 50, 108] Generated Node #2: [72, 50, 108] from Operation: 45+63=108 Current State: 86:[72, 50, 108], Operations: ['45+63=108'] Exploring Operation: 72-50=22, Resulting Numbers: [108, 22] Generated Node #3: [108, 22] from Operation: 72-50=22 Current State: 86:[108, 22], Operations: ['45+63=108', '72-50=22'] Exploring Operation: 108-22=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 46, 7, 47, 15 ]
12
[ "46+47=93", "7*15=105", "105-93=12" ]
Current State: 12:[46, 7, 47, 15], Operations: [] Exploring Operation: 46+47=93, Resulting Numbers: [7, 15, 93] Generated Node #2: [7, 15, 93] from Operation: 46+47=93 Current State: 12:[7, 15, 93], Operations: ['46+47=93'] Exploring Operation: 7*15=105, Resulting Numbers: [93, 105] Generated Node #3: [93, 105] from Operation: 7*15=105 Current State: 12:[93, 105], Operations: ['46+47=93', '7*15=105'] Exploring Operation: 105-93=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 17, 22, 2, 19 ]
22
[ "17+22=39", "19-2=17", "39-17=22" ]
Current State: 22:[17, 22, 2, 19], Operations: [] Exploring Operation: 17+22=39, Resulting Numbers: [2, 19, 39] Generated Node #2: [2, 19, 39] from Operation: 17+22=39 Current State: 22:[2, 19, 39], Operations: ['17+22=39'] Exploring Operation: 19-2=17, Resulting Numbers: [39, 17] Generated Node #3: [39, 17] from Operation: 19-2=17 Current State: 22:[39, 17], Operations: ['17+22=39', '19-2=17'] Exploring Operation: 39-17=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 27, 65, 81, 82 ]
14
[ "81/27=3", "82-65=17", "17-3=14" ]
Current State: 14:[27, 65, 81, 82], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [65, 82, 3] Generated Node #2: [65, 82, 3] from Operation: 81/27=3 Current State: 14:[65, 82, 3], Operations: ['81/27=3'] Exploring Operation: 82-65=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 82-65=17 Current State: 14:[3, 17], Operations: ['81/27=3', '82-65=17'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 12, 64, 66, 72 ]
46
[ "64-12=52", "72-66=6", "52-6=46" ]
Current State: 46:[12, 64, 66, 72], Operations: [] Exploring Operation: 64-12=52, Resulting Numbers: [66, 72, 52] Generated Node #2: [66, 72, 52] from Operation: 64-12=52 Current State: 46:[66, 72, 52], Operations: ['64-12=52'] Exploring Operation: 72-66=6, Resulting Numbers: [52, 6] Generated Node #3: [52, 6] from Operation: 72-66=6 Current State: 46:[52, 6], Operations: ['64-12=52', '72-66=6'] Exploring Operation: 52-6=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 69, 2, 48, 80 ]
39
[ "69+2=71", "80-48=32", "71-32=39" ]
Current State: 39:[69, 2, 48, 80], Operations: [] Exploring Operation: 69+2=71, Resulting Numbers: [48, 80, 71] Generated Node #2: [48, 80, 71] from Operation: 69+2=71 Current State: 39:[48, 80, 71], Operations: ['69+2=71'] Exploring Operation: 80-48=32, Resulting Numbers: [71, 32] Generated Node #3: [71, 32] from Operation: 80-48=32 Current State: 39:[71, 32], Operations: ['69+2=71', '80-48=32'] Exploring Operation: 71-32=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 31, 71, 31, 51 ]
20
[ "31+71=102", "31+51=82", "102-82=20" ]
Current State: 20:[31, 71, 31, 51], Operations: [] Exploring Operation: 31+71=102, Resulting Numbers: [51, 102] Generated Node #2: [51, 102] from Operation: 31+71=102 Current State: 20:[51, 102], Operations: ['31+71=102'] Exploring Operation: 31+51=82, Resulting Numbers: [102, 82] Generated Node #3: [102, 82] from Operation: 31+51=82 Current State: 20:[102, 82], Operations: ['31+71=102', '31+51=82'] Exploring Operation: 102-82=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 15, 46, 10, 6 ]
90
[ "46-10=36", "15*36=540", "540/6=90" ]
Current State: 90:[15, 46, 10, 6], Operations: [] Exploring Operation: 46-10=36, Resulting Numbers: [15, 6, 36] Generated Node #2: [15, 6, 36] from Operation: 46-10=36 Current State: 90:[15, 6, 36], Operations: ['46-10=36'] Exploring Operation: 15*36=540, Resulting Numbers: [6, 540] Generated Node #3: [6, 540] from Operation: 15*36=540 Current State: 90:[6, 540], Operations: ['46-10=36', '15*36=540'] Exploring Operation: 540/6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 47, 27, 57, 50 ]
46
[ "50-47=3", "57/3=19", "27+19=46" ]
Current State: 46:[47, 27, 57, 50], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [27, 57, 3] Generated Node #2: [27, 57, 3] from Operation: 50-47=3 Current State: 46:[27, 57, 3], Operations: ['50-47=3'] Exploring Operation: 57/3=19, Resulting Numbers: [27, 19] Generated Node #3: [27, 19] from Operation: 57/3=19 Current State: 46:[27, 19], Operations: ['50-47=3', '57/3=19'] Exploring Operation: 27+19=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 4, 35, 6, 67 ]
51
[ "6-4=2", "35+67=102", "102/2=51" ]
Current State: 51:[4, 35, 6, 67], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [35, 67, 2] Generated Node #2: [35, 67, 2] from Operation: 6-4=2 Current State: 51:[35, 67, 2], Operations: ['6-4=2'] Exploring Operation: 35+67=102, Resulting Numbers: [2, 102] Generated Node #3: [2, 102] from Operation: 35+67=102 Current State: 51:[2, 102], Operations: ['6-4=2', '35+67=102'] Exploring Operation: 102/2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 39, 31, 71, 6 ]
76
[ "39+71=110", "31*6=186", "186-110=76" ]
Current State: 76:[39, 31, 71, 6], Operations: [] Exploring Operation: 39+71=110, Resulting Numbers: [31, 6, 110] Generated Node #2: [31, 6, 110] from Operation: 39+71=110 Current State: 76:[31, 6, 110], Operations: ['39+71=110'] Exploring Operation: 31*6=186, Resulting Numbers: [110, 186] Generated Node #3: [110, 186] from Operation: 31*6=186 Current State: 76:[110, 186], Operations: ['39+71=110', '31*6=186'] Exploring Operation: 186-110=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 12, 6, 46, 24 ]
23
[ "24-12=12", "6*46=276", "276/12=23" ]
Current State: 23:[12, 6, 46, 24], Operations: [] Exploring Operation: 24-12=12, Resulting Numbers: [6, 46, 12] Generated Node #2: [6, 46, 12] from Operation: 24-12=12 Current State: 23:[6, 46, 12], Operations: ['24-12=12'] Exploring Operation: 6*46=276, Resulting Numbers: [12, 276] Generated Node #3: [12, 276] from Operation: 6*46=276 Current State: 23:[12, 276], Operations: ['24-12=12', '6*46=276'] Exploring Operation: 276/12=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 28, 24, 85, 20 ]
13
[ "28+24=52", "85-20=65", "65-52=13" ]
Current State: 13:[28, 24, 85, 20], Operations: [] Exploring Operation: 28+24=52, Resulting Numbers: [85, 20, 52] Generated Node #2: [85, 20, 52] from Operation: 28+24=52 Current State: 13:[85, 20, 52], Operations: ['28+24=52'] Exploring Operation: 85-20=65, Resulting Numbers: [52, 65] Generated Node #3: [52, 65] from Operation: 85-20=65 Current State: 13:[52, 65], Operations: ['28+24=52', '85-20=65'] Exploring Operation: 65-52=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 36, 16, 50, 47 ]
92
[ "50-47=3", "36*3=108", "108-16=92" ]
Current State: 92:[36, 16, 50, 47], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [36, 16, 3] Generated Node #2: [36, 16, 3] from Operation: 50-47=3 Current State: 92:[36, 16, 3], Operations: ['50-47=3'] Exploring Operation: 36*3=108, Resulting Numbers: [16, 108] Generated Node #3: [16, 108] from Operation: 36*3=108 Current State: 92:[16, 108], Operations: ['50-47=3', '36*3=108'] Exploring Operation: 108-16=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 8, 65, 94, 87 ]
64
[ "65-8=57", "94-87=7", "57+7=64" ]
Current State: 64:[8, 65, 94, 87], Operations: [] Exploring Operation: 65-8=57, Resulting Numbers: [94, 87, 57] Generated Node #2: [94, 87, 57] from Operation: 65-8=57 Current State: 64:[94, 87, 57], Operations: ['65-8=57'] Exploring Operation: 94-87=7, Resulting Numbers: [57, 7] Generated Node #3: [57, 7] from Operation: 94-87=7 Current State: 64:[57, 7], Operations: ['65-8=57', '94-87=7'] Exploring Operation: 57+7=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 65, 17, 2, 21 ]
71
[ "65-17=48", "2+21=23", "48+23=71" ]
Current State: 71:[65, 17, 2, 21], Operations: [] Exploring Operation: 65-17=48, Resulting Numbers: [2, 21, 48] Generated Node #2: [2, 21, 48] from Operation: 65-17=48 Current State: 71:[2, 21, 48], Operations: ['65-17=48'] Exploring Operation: 2+21=23, Resulting Numbers: [48, 23] Generated Node #3: [48, 23] from Operation: 2+21=23 Current State: 71:[48, 23], Operations: ['65-17=48', '2+21=23'] Exploring Operation: 48+23=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 9, 27, 52, 91 ]
57
[ "27-9=18", "91-52=39", "18+39=57" ]
Current State: 57:[9, 27, 52, 91], Operations: [] Exploring Operation: 27-9=18, Resulting Numbers: [52, 91, 18] Generated Node #2: [52, 91, 18] from Operation: 27-9=18 Current State: 57:[52, 91, 18], Operations: ['27-9=18'] Exploring Operation: 91-52=39, Resulting Numbers: [18, 39] Generated Node #3: [18, 39] from Operation: 91-52=39 Current State: 57:[18, 39], Operations: ['27-9=18', '91-52=39'] Exploring Operation: 18+39=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 18, 43, 43, 72 ]
82
[ "72/18=4", "43+43=86", "86-4=82" ]
Current State: 82:[18, 43, 43, 72], Operations: [] Exploring Operation: 72/18=4, Resulting Numbers: [43, 43, 4] Generated Node #2: [43, 43, 4] from Operation: 72/18=4 Current State: 82:[43, 43, 4], Operations: ['72/18=4'] Exploring Operation: 43+43=86, Resulting Numbers: [4, 86] Generated Node #3: [4, 86] from Operation: 43+43=86 Current State: 82:[4, 86], Operations: ['72/18=4', '43+43=86'] Exploring Operation: 86-4=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 52, 40, 13, 17 ]
16
[ "52-40=12", "17-13=4", "12+4=16" ]
Current State: 16:[52, 40, 13, 17], Operations: [] Exploring Operation: 52-40=12, Resulting Numbers: [13, 17, 12] Generated Node #2: [13, 17, 12] from Operation: 52-40=12 Current State: 16:[13, 17, 12], Operations: ['52-40=12'] Exploring Operation: 17-13=4, Resulting Numbers: [12, 4] Generated Node #3: [12, 4] from Operation: 17-13=4 Current State: 16:[12, 4], Operations: ['52-40=12', '17-13=4'] Exploring Operation: 12+4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 4, 84, 13, 21 ]
55
[ "84/4=21", "13+21=34", "21+34=55" ]
Current State: 55:[4, 84, 13, 21], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [13, 21, 21] Generated Node #2: [13, 21, 21] from Operation: 84/4=21 Current State: 55:[13, 21, 21], Operations: ['84/4=21'] Exploring Operation: 13+21=34, Resulting Numbers: [34] 34,55 equal: Goal Reached Exploring Operation: 21+34=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 26, 1, 90, 65 ]
37
[ "26*90=2340", "2340/65=36", "1+36=37" ]
Current State: 37:[26, 1, 90, 65], Operations: [] Exploring Operation: 26*90=2340, Resulting Numbers: [1, 65, 2340] Generated Node #2: [1, 65, 2340] from Operation: 26*90=2340 Current State: 37:[1, 65, 2340], Operations: ['26*90=2340'] Exploring Operation: 2340/65=36, Resulting Numbers: [1, 36] Generated Node #3: [1, 36] from Operation: 2340/65=36 Current State: 37:[1, 36], Operations: ['26*90=2340', '2340/65=36'] Exploring Operation: 1+36=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 53, 33, 35, 5 ]
31
[ "53-33=20", "20/5=4", "35-4=31" ]
Current State: 31:[53, 33, 35, 5], Operations: [] Exploring Operation: 53-33=20, Resulting Numbers: [35, 5, 20] Generated Node #2: [35, 5, 20] from Operation: 53-33=20 Current State: 31:[35, 5, 20], Operations: ['53-33=20'] Exploring Operation: 20/5=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 20/5=4 Current State: 31:[35, 4], Operations: ['53-33=20', '20/5=4'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 8, 71, 1, 16 ]
35
[ "16/8=2", "71-1=70", "70/2=35" ]
Current State: 35:[8, 71, 1, 16], Operations: [] Exploring Operation: 16/8=2, Resulting Numbers: [71, 1, 2] Generated Node #2: [71, 1, 2] from Operation: 16/8=2 Current State: 35:[71, 1, 2], Operations: ['16/8=2'] Exploring Operation: 71-1=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 71-1=70 Current State: 35:[2, 70], Operations: ['16/8=2', '71-1=70'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 11, 2, 17, 22 ]
72
[ "11+17=28", "2*22=44", "28+44=72" ]
Current State: 72:[11, 2, 17, 22], Operations: [] Exploring Operation: 11+17=28, Resulting Numbers: [2, 22, 28] Generated Node #2: [2, 22, 28] from Operation: 11+17=28 Current State: 72:[2, 22, 28], Operations: ['11+17=28'] Exploring Operation: 2*22=44, Resulting Numbers: [28, 44] Generated Node #3: [28, 44] from Operation: 2*22=44 Current State: 72:[28, 44], Operations: ['11+17=28', '2*22=44'] Exploring Operation: 28+44=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 24, 33, 8, 6 ]
21
[ "24/6=4", "33-8=25", "25-4=21" ]
Current State: 21:[24, 33, 8, 6], Operations: [] Exploring Operation: 24/6=4, Resulting Numbers: [33, 8, 4] Generated Node #2: [33, 8, 4] from Operation: 24/6=4 Current State: 21:[33, 8, 4], Operations: ['24/6=4'] Exploring Operation: 33-8=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 33-8=25 Current State: 21:[4, 25], Operations: ['24/6=4', '33-8=25'] Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 29, 6, 37, 51 ]
49
[ "29+6=35", "51-37=14", "35+14=49" ]
Current State: 49:[29, 6, 37, 51], Operations: [] Exploring Operation: 29+6=35, Resulting Numbers: [37, 51, 35] Generated Node #2: [37, 51, 35] from Operation: 29+6=35 Current State: 49:[37, 51, 35], Operations: ['29+6=35'] Exploring Operation: 51-37=14, Resulting Numbers: [35, 14] Generated Node #3: [35, 14] from Operation: 51-37=14 Current State: 49:[35, 14], Operations: ['29+6=35', '51-37=14'] Exploring Operation: 35+14=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 5, 36, 44, 9 ]
27
[ "5+36=41", "44-41=3", "9*3=27" ]
Current State: 27:[5, 36, 44, 9], Operations: [] Exploring Operation: 5+36=41, Resulting Numbers: [44, 9, 41] Generated Node #2: [44, 9, 41] from Operation: 5+36=41 Current State: 27:[44, 9, 41], Operations: ['5+36=41'] Exploring Operation: 44-41=3, Resulting Numbers: [9, 3] Generated Node #3: [9, 3] from Operation: 44-41=3 Current State: 27:[9, 3], Operations: ['5+36=41', '44-41=3'] Exploring Operation: 9*3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 98, 3, 60, 34 ]
24
[ "98-60=38", "34+38=72", "72/3=24" ]
Current State: 24:[98, 3, 60, 34], Operations: [] Exploring Operation: 98-60=38, Resulting Numbers: [3, 34, 38] Generated Node #2: [3, 34, 38] from Operation: 98-60=38 Current State: 24:[3, 34, 38], Operations: ['98-60=38'] Exploring Operation: 34+38=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 34+38=72 Current State: 24:[3, 72], Operations: ['98-60=38', '34+38=72'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 45, 39, 34, 86 ]
60
[ "86-34=52", "45*52=2340", "2340/39=60" ]
Current State: 60:[45, 39, 34, 86], Operations: [] Exploring Operation: 86-34=52, Resulting Numbers: [45, 39, 52] Generated Node #2: [45, 39, 52] from Operation: 86-34=52 Current State: 60:[45, 39, 52], Operations: ['86-34=52'] Exploring Operation: 45*52=2340, Resulting Numbers: [39, 2340] Generated Node #3: [39, 2340] from Operation: 45*52=2340 Current State: 60:[39, 2340], Operations: ['86-34=52', '45*52=2340'] Exploring Operation: 2340/39=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 40, 47, 94, 98 ]
57
[ "98-94=4", "40/4=10", "47+10=57" ]
Current State: 57:[40, 47, 94, 98], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [40, 47, 4] Generated Node #2: [40, 47, 4] from Operation: 98-94=4 Current State: 57:[40, 47, 4], Operations: ['98-94=4'] Exploring Operation: 40/4=10, Resulting Numbers: [47, 10] Generated Node #3: [47, 10] from Operation: 40/4=10 Current State: 57:[47, 10], Operations: ['98-94=4', '40/4=10'] Exploring Operation: 47+10=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 63, 4, 19, 9 ]
80
[ "63-19=44", "4*9=36", "44+36=80" ]
Current State: 80:[63, 4, 19, 9], Operations: [] Exploring Operation: 63-19=44, Resulting Numbers: [4, 9, 44] Generated Node #2: [4, 9, 44] from Operation: 63-19=44 Current State: 80:[4, 9, 44], Operations: ['63-19=44'] Exploring Operation: 4*9=36, Resulting Numbers: [44, 36] Generated Node #3: [44, 36] from Operation: 4*9=36 Current State: 80:[44, 36], Operations: ['63-19=44', '4*9=36'] Exploring Operation: 44+36=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 10, 26, 14, 60 ]
62
[ "26-10=16", "60-14=46", "16+46=62" ]
Current State: 62:[10, 26, 14, 60], Operations: [] Exploring Operation: 26-10=16, Resulting Numbers: [14, 60, 16] Generated Node #2: [14, 60, 16] from Operation: 26-10=16 Current State: 62:[14, 60, 16], Operations: ['26-10=16'] Exploring Operation: 60-14=46, Resulting Numbers: [16, 46] Generated Node #3: [16, 46] from Operation: 60-14=46 Current State: 62:[16, 46], Operations: ['26-10=16', '60-14=46'] Exploring Operation: 16+46=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 68, 3, 9, 5 ]
85
[ "68+3=71", "9+5=14", "71+14=85" ]
Current State: 85:[68, 3, 9, 5], Operations: [] Exploring Operation: 68+3=71, Resulting Numbers: [9, 5, 71] Generated Node #2: [9, 5, 71] from Operation: 68+3=71 Current State: 85:[9, 5, 71], Operations: ['68+3=71'] Exploring Operation: 9+5=14, Resulting Numbers: [71, 14] Generated Node #3: [71, 14] from Operation: 9+5=14 Current State: 85:[71, 14], Operations: ['68+3=71', '9+5=14'] Exploring Operation: 71+14=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 45, 52, 44, 63 ]
12
[ "52-45=7", "63-44=19", "19-7=12" ]
Current State: 12:[45, 52, 44, 63], Operations: [] Exploring Operation: 52-45=7, Resulting Numbers: [44, 63, 7] Generated Node #2: [44, 63, 7] from Operation: 52-45=7 Current State: 12:[44, 63, 7], Operations: ['52-45=7'] Exploring Operation: 63-44=19, Resulting Numbers: [7, 19] Generated Node #3: [7, 19] from Operation: 63-44=19 Current State: 12:[7, 19], Operations: ['52-45=7', '63-44=19'] Exploring Operation: 19-7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 5, 87, 3, 9 ]
75
[ "9-5=4", "3*4=12", "87-12=75" ]
Current State: 75:[5, 87, 3, 9], Operations: [] Exploring Operation: 9-5=4, Resulting Numbers: [87, 3, 4] Generated Node #2: [87, 3, 4] from Operation: 9-5=4 Current State: 75:[87, 3, 4], Operations: ['9-5=4'] Exploring Operation: 3*4=12, Resulting Numbers: [87, 12] Generated Node #3: [87, 12] from Operation: 3*4=12 Current State: 75:[87, 12], Operations: ['9-5=4', '3*4=12'] Exploring Operation: 87-12=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 20, 8, 22, 41 ]
66
[ "22-20=2", "41-8=33", "2*33=66" ]
Current State: 66:[20, 8, 22, 41], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [8, 41, 2] Generated Node #2: [8, 41, 2] from Operation: 22-20=2 Current State: 66:[8, 41, 2], Operations: ['22-20=2'] Exploring Operation: 41-8=33, Resulting Numbers: [2, 33] Generated Node #3: [2, 33] from Operation: 41-8=33 Current State: 66:[2, 33], Operations: ['22-20=2', '41-8=33'] Exploring Operation: 2*33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 61, 24, 93, 2 ]
19
[ "61-24=37", "2*37=74", "93-74=19" ]
Current State: 19:[61, 24, 93, 2], Operations: [] Exploring Operation: 61-24=37, Resulting Numbers: [93, 2, 37] Generated Node #2: [93, 2, 37] from Operation: 61-24=37 Current State: 19:[93, 2, 37], Operations: ['61-24=37'] Exploring Operation: 2*37=74, Resulting Numbers: [93, 74] Generated Node #3: [93, 74] from Operation: 2*37=74 Current State: 19:[93, 74], Operations: ['61-24=37', '2*37=74'] Exploring Operation: 93-74=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 12, 64, 51, 87 ]
87
[ "64-12=52", "52-51=1", "87*1=87" ]
Current State: 87:[12, 64, 51, 87], Operations: [] Exploring Operation: 64-12=52, Resulting Numbers: [51, 87, 52] Generated Node #2: [51, 87, 52] from Operation: 64-12=52 Current State: 87:[51, 87, 52], Operations: ['64-12=52'] Exploring Operation: 52-51=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 52-51=1 Current State: 87:[87, 1], Operations: ['64-12=52', '52-51=1'] Exploring Operation: 87*1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 21, 39, 31, 9 ]
33
[ "39-21=18", "18/9=2", "31+2=33" ]
Current State: 33:[21, 39, 31, 9], Operations: [] Exploring Operation: 39-21=18, Resulting Numbers: [31, 9, 18] Generated Node #2: [31, 9, 18] from Operation: 39-21=18 Current State: 33:[31, 9, 18], Operations: ['39-21=18'] Exploring Operation: 18/9=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 18/9=2 Current State: 33:[31, 2], Operations: ['39-21=18', '18/9=2'] Exploring Operation: 31+2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 42, 4, 72, 44 ]
19
[ "72-42=30", "44/4=11", "30-11=19" ]
Current State: 19:[42, 4, 72, 44], Operations: [] Exploring Operation: 72-42=30, Resulting Numbers: [4, 44, 30] Generated Node #2: [4, 44, 30] from Operation: 72-42=30 Current State: 19:[4, 44, 30], Operations: ['72-42=30'] Exploring Operation: 44/4=11, Resulting Numbers: [30, 11] Generated Node #3: [30, 11] from Operation: 44/4=11 Current State: 19:[30, 11], Operations: ['72-42=30', '44/4=11'] Exploring Operation: 30-11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 21, 60, 5, 21 ]
13
[ "60-21=39", "5+21=26", "39-26=13" ]
Current State: 13:[21, 60, 5, 21], Operations: [] Exploring Operation: 60-21=39, Resulting Numbers: [5, 39] Generated Node #2: [5, 39] from Operation: 60-21=39 Current State: 13:[5, 39], Operations: ['60-21=39'] Exploring Operation: 5+21=26, Resulting Numbers: [39, 26] Generated Node #3: [39, 26] from Operation: 5+21=26 Current State: 13:[39, 26], Operations: ['60-21=39', '5+21=26'] Exploring Operation: 39-26=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 38, 69, 71, 5 ]
10
[ "69+71=140", "140/5=28", "38-28=10" ]
Current State: 10:[38, 69, 71, 5], Operations: [] Exploring Operation: 69+71=140, Resulting Numbers: [38, 5, 140] Generated Node #2: [38, 5, 140] from Operation: 69+71=140 Current State: 10:[38, 5, 140], Operations: ['69+71=140'] Exploring Operation: 140/5=28, Resulting Numbers: [38, 28] Generated Node #3: [38, 28] from Operation: 140/5=28 Current State: 10:[38, 28], Operations: ['69+71=140', '140/5=28'] Exploring Operation: 38-28=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 46, 56, 42, 61 ]
75
[ "46-42=4", "56/4=14", "61+14=75" ]
Current State: 75:[46, 56, 42, 61], Operations: [] Exploring Operation: 46-42=4, Resulting Numbers: [56, 61, 4] Generated Node #2: [56, 61, 4] from Operation: 46-42=4 Current State: 75:[56, 61, 4], Operations: ['46-42=4'] Exploring Operation: 56/4=14, Resulting Numbers: [61, 14] Generated Node #3: [61, 14] from Operation: 56/4=14 Current State: 75:[61, 14], Operations: ['46-42=4', '56/4=14'] Exploring Operation: 61+14=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 5, 20, 65, 80 ]
87
[ "65/5=13", "20+80=100", "100-13=87" ]
Current State: 87:[5, 20, 65, 80], Operations: [] Exploring Operation: 65/5=13, Resulting Numbers: [20, 80, 13] Generated Node #2: [20, 80, 13] from Operation: 65/5=13 Current State: 87:[20, 80, 13], Operations: ['65/5=13'] Exploring Operation: 20+80=100, Resulting Numbers: [13, 100] Generated Node #3: [13, 100] from Operation: 20+80=100 Current State: 87:[13, 100], Operations: ['65/5=13', '20+80=100'] Exploring Operation: 100-13=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 86, 74, 4, 22 ]
62
[ "86+74=160", "160/4=40", "22+40=62" ]
Current State: 62:[86, 74, 4, 22], Operations: [] Exploring Operation: 86+74=160, Resulting Numbers: [4, 22, 160] Generated Node #2: [4, 22, 160] from Operation: 86+74=160 Current State: 62:[4, 22, 160], Operations: ['86+74=160'] Exploring Operation: 160/4=40, Resulting Numbers: [22, 40] Generated Node #3: [22, 40] from Operation: 160/4=40 Current State: 62:[22, 40], Operations: ['86+74=160', '160/4=40'] Exploring Operation: 22+40=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 40, 65, 49, 62 ]
86
[ "65-40=25", "49+62=111", "111-25=86" ]
Current State: 86:[40, 65, 49, 62], Operations: [] Exploring Operation: 65-40=25, Resulting Numbers: [49, 62, 25] Generated Node #2: [49, 62, 25] from Operation: 65-40=25 Current State: 86:[49, 62, 25], Operations: ['65-40=25'] Exploring Operation: 49+62=111, Resulting Numbers: [25, 111] Generated Node #3: [25, 111] from Operation: 49+62=111 Current State: 86:[25, 111], Operations: ['65-40=25', '49+62=111'] Exploring Operation: 111-25=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 48, 55, 3, 9 ]
98
[ "48*3=144", "55-9=46", "144-46=98" ]
Current State: 98:[48, 55, 3, 9], Operations: [] Exploring Operation: 48*3=144, Resulting Numbers: [55, 9, 144] Generated Node #2: [55, 9, 144] from Operation: 48*3=144 Current State: 98:[55, 9, 144], Operations: ['48*3=144'] Exploring Operation: 55-9=46, Resulting Numbers: [144, 46] Generated Node #3: [144, 46] from Operation: 55-9=46 Current State: 98:[144, 46], Operations: ['48*3=144', '55-9=46'] Exploring Operation: 144-46=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 31, 16, 47, 40 ]
54
[ "31+16=47", "47-40=7", "47+7=54" ]
Current State: 54:[31, 16, 47, 40], Operations: [] Exploring Operation: 31+16=47, Resulting Numbers: [47, 40, 47] Generated Node #2: [47, 40, 47] from Operation: 31+16=47 Current State: 54:[47, 40, 47], Operations: ['31+16=47'] Exploring Operation: 47-40=7, Resulting Numbers: [7] 7,54 equal: Goal Reached Exploring Operation: 47+7=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 1, 69, 30, 11 ]
23
[ "11-1=10", "69*10=690", "690/30=23" ]
Current State: 23:[1, 69, 30, 11], Operations: [] Exploring Operation: 11-1=10, Resulting Numbers: [69, 30, 10] Generated Node #2: [69, 30, 10] from Operation: 11-1=10 Current State: 23:[69, 30, 10], Operations: ['11-1=10'] Exploring Operation: 69*10=690, Resulting Numbers: [30, 690] Generated Node #3: [30, 690] from Operation: 69*10=690 Current State: 23:[30, 690], Operations: ['11-1=10', '69*10=690'] Exploring Operation: 690/30=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 10, 70, 58, 8 ]
46
[ "10-8=2", "58*2=116", "116-70=46" ]
Current State: 46:[10, 70, 58, 8], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [70, 58, 2] Generated Node #2: [70, 58, 2] from Operation: 10-8=2 Current State: 46:[70, 58, 2], Operations: ['10-8=2'] Exploring Operation: 58*2=116, Resulting Numbers: [70, 116] Generated Node #3: [70, 116] from Operation: 58*2=116 Current State: 46:[70, 116], Operations: ['10-8=2', '58*2=116'] Exploring Operation: 116-70=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 4, 11, 5, 13 ]
11
[ "11-4=7", "5+13=18", "18-7=11" ]
Current State: 11:[4, 11, 5, 13], Operations: [] Exploring Operation: 11-4=7, Resulting Numbers: [5, 13, 7] Generated Node #2: [5, 13, 7] from Operation: 11-4=7 Current State: 11:[5, 13, 7], Operations: ['11-4=7'] Exploring Operation: 5+13=18, Resulting Numbers: [7, 18] Generated Node #3: [7, 18] from Operation: 5+13=18 Current State: 11:[7, 18], Operations: ['11-4=7', '5+13=18'] Exploring Operation: 18-7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 24, 86, 49, 90 ]
16
[ "24*90=2160", "86+49=135", "2160/135=16" ]
Current State: 16:[24, 86, 49, 90], Operations: [] Exploring Operation: 24*90=2160, Resulting Numbers: [86, 49, 2160] Generated Node #2: [86, 49, 2160] from Operation: 24*90=2160 Current State: 16:[86, 49, 2160], Operations: ['24*90=2160'] Exploring Operation: 86+49=135, Resulting Numbers: [2160, 135] Generated Node #3: [2160, 135] from Operation: 86+49=135 Current State: 16:[2160, 135], Operations: ['24*90=2160', '86+49=135'] Exploring Operation: 2160/135=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 6, 43, 30, 47 ]
15
[ "6+43=49", "49-47=2", "30/2=15" ]
Current State: 15:[6, 43, 30, 47], Operations: [] Exploring Operation: 6+43=49, Resulting Numbers: [30, 47, 49] Generated Node #2: [30, 47, 49] from Operation: 6+43=49 Current State: 15:[30, 47, 49], Operations: ['6+43=49'] Exploring Operation: 49-47=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 49-47=2 Current State: 15:[30, 2], Operations: ['6+43=49', '49-47=2'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 14, 79, 61, 49 ]
81
[ "14+79=93", "61-49=12", "93-12=81" ]
Current State: 81:[14, 79, 61, 49], Operations: [] Exploring Operation: 14+79=93, Resulting Numbers: [61, 49, 93] Generated Node #2: [61, 49, 93] from Operation: 14+79=93 Current State: 81:[61, 49, 93], Operations: ['14+79=93'] Exploring Operation: 61-49=12, Resulting Numbers: [93, 12] Generated Node #3: [93, 12] from Operation: 61-49=12 Current State: 81:[93, 12], Operations: ['14+79=93', '61-49=12'] Exploring Operation: 93-12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 43, 44, 90, 90 ]
87
[ "43+44=87", "90-90=0", "87+0=87" ]
Current State: 87:[43, 44, 90, 90], Operations: [] Exploring Operation: 43+44=87, Resulting Numbers: [90, 90, 87] Generated Node #2: [90, 90, 87] from Operation: 43+44=87 Current State: 87:[90, 90, 87], Operations: ['43+44=87'] Exploring Operation: 90-90=0, Resulting Numbers: [87, 0] Generated Node #3: [87, 0] from Operation: 90-90=0 Current State: 87:[87, 0], Operations: ['43+44=87', '90-90=0'] Exploring Operation: 87+0=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 46, 41, 82, 66 ]
22
[ "66-46=20", "82/41=2", "20+2=22" ]
Current State: 22:[46, 41, 82, 66], Operations: [] Exploring Operation: 66-46=20, Resulting Numbers: [41, 82, 20] Generated Node #2: [41, 82, 20] from Operation: 66-46=20 Current State: 22:[41, 82, 20], Operations: ['66-46=20'] Exploring Operation: 82/41=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 82/41=2 Current State: 22:[20, 2], Operations: ['66-46=20', '82/41=2'] Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 68, 75, 36, 81 ]
62
[ "81-75=6", "36/6=6", "68-6=62" ]
Current State: 62:[68, 75, 36, 81], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [68, 36, 6] Generated Node #2: [68, 36, 6] from Operation: 81-75=6 Current State: 62:[68, 36, 6], Operations: ['81-75=6'] Exploring Operation: 36/6=6, Resulting Numbers: [68, 6] Generated Node #3: [68, 6] from Operation: 36/6=6 Current State: 62:[68, 6], Operations: ['81-75=6', '36/6=6'] Exploring Operation: 68-6=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 16, 28, 24, 4 ]
13
[ "16+28=44", "44/4=11", "24-11=13" ]
Current State: 13:[16, 28, 24, 4], Operations: [] Exploring Operation: 16+28=44, Resulting Numbers: [24, 4, 44] Generated Node #2: [24, 4, 44] from Operation: 16+28=44 Current State: 13:[24, 4, 44], Operations: ['16+28=44'] Exploring Operation: 44/4=11, Resulting Numbers: [24, 11] Generated Node #3: [24, 11] from Operation: 44/4=11 Current State: 13:[24, 11], Operations: ['16+28=44', '44/4=11'] Exploring Operation: 24-11=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4