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
[ 83, 3, 97, 82 ]
70
[ "83*3=249", "97+82=179", "249-179=70" ]
Current State: 70:[83, 3, 97, 82], Operations: [] Exploring Operation: 83*3=249, Resulting Numbers: [97, 82, 249] Generated Node #2: [97, 82, 249] from Operation: 83*3=249 Current State: 70:[97, 82, 249], Operations: ['83*3=249'] Exploring Operation: 97+82=179, Resulting Numbers: [249, 179] Generated Node #3: [249, 179] from Operation: 97+82=179 Current State: 70:[249, 179], Operations: ['83*3=249', '97+82=179'] Exploring Operation: 249-179=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 12, 75, 13, 84 ]
95
[ "84/12=7", "75+13=88", "7+88=95" ]
Current State: 95:[12, 75, 13, 84], Operations: [] Exploring Operation: 84/12=7, Resulting Numbers: [75, 13, 7] Generated Node #2: [75, 13, 7] from Operation: 84/12=7 Current State: 95:[75, 13, 7], Operations: ['84/12=7'] Exploring Operation: 75+13=88, Resulting Numbers: [7, 88] Generated Node #3: [7, 88] from Operation: 75+13=88 Current State: 95:[7, 88], Operations: ['84/12=7', '75+13=88'] Exploring Operation: 7+88=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 53, 31, 72, 17 ]
62
[ "72-53=19", "19-17=2", "31*2=62" ]
Current State: 62:[53, 31, 72, 17], Operations: [] Exploring Operation: 72-53=19, Resulting Numbers: [31, 17, 19] Generated Node #2: [31, 17, 19] from Operation: 72-53=19 Current State: 62:[31, 17, 19], Operations: ['72-53=19'] Exploring Operation: 19-17=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 19-17=2 Current State: 62:[31, 2], Operations: ['72-53=19', '19-17=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 81, 59, 4, 48 ]
37
[ "59-48=11", "4*11=44", "81-44=37" ]
Current State: 37:[81, 59, 4, 48], Operations: [] Exploring Operation: 59-48=11, Resulting Numbers: [81, 4, 11] Generated Node #2: [81, 4, 11] from Operation: 59-48=11 Current State: 37:[81, 4, 11], Operations: ['59-48=11'] Exploring Operation: 4*11=44, Resulting Numbers: [81, 44] Generated Node #3: [81, 44] from Operation: 4*11=44 Current State: 37:[81, 44], Operations: ['59-48=11', '4*11=44'] Exploring Operation: 81-44=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 15, 40, 45 ]
77
[ "2*40=80", "45/15=3", "80-3=77" ]
Current State: 77:[2, 15, 40, 45], Operations: [] Exploring Operation: 2*40=80, Resulting Numbers: [15, 45, 80] Generated Node #2: [15, 45, 80] from Operation: 2*40=80 Current State: 77:[15, 45, 80], Operations: ['2*40=80'] Exploring Operation: 45/15=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 45/15=3 Current State: 77:[80, 3], Operations: ['2*40=80', '45/15=3'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 21, 11, 67, 65 ]
12
[ "21-11=10", "67-65=2", "10+2=12" ]
Current State: 12:[21, 11, 67, 65], Operations: [] Exploring Operation: 21-11=10, Resulting Numbers: [67, 65, 10] Generated Node #2: [67, 65, 10] from Operation: 21-11=10 Current State: 12:[67, 65, 10], Operations: ['21-11=10'] Exploring Operation: 67-65=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 67-65=2 Current State: 12:[10, 2], Operations: ['21-11=10', '67-65=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 51, 54, 46, 40 ]
19
[ "51+54=105", "46+40=86", "105-86=19" ]
Current State: 19:[51, 54, 46, 40], Operations: [] Exploring Operation: 51+54=105, Resulting Numbers: [46, 40, 105] Generated Node #2: [46, 40, 105] from Operation: 51+54=105 Current State: 19:[46, 40, 105], Operations: ['51+54=105'] Exploring Operation: 46+40=86, Resulting Numbers: [105, 86] Generated Node #3: [105, 86] from Operation: 46+40=86 Current State: 19:[105, 86], Operations: ['51+54=105', '46+40=86'] Exploring Operation: 105-86=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 52, 2, 31, 78 ]
97
[ "52-2=50", "78-31=47", "50+47=97" ]
Current State: 97:[52, 2, 31, 78], Operations: [] Exploring Operation: 52-2=50, Resulting Numbers: [31, 78, 50] Generated Node #2: [31, 78, 50] from Operation: 52-2=50 Current State: 97:[31, 78, 50], Operations: ['52-2=50'] Exploring Operation: 78-31=47, Resulting Numbers: [50, 47] Generated Node #3: [50, 47] from Operation: 78-31=47 Current State: 97:[50, 47], Operations: ['52-2=50', '78-31=47'] Exploring Operation: 50+47=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 32, 83, 75, 35 ]
91
[ "83-32=51", "75-35=40", "51+40=91" ]
Current State: 91:[32, 83, 75, 35], Operations: [] Exploring Operation: 83-32=51, Resulting Numbers: [75, 35, 51] Generated Node #2: [75, 35, 51] from Operation: 83-32=51 Current State: 91:[75, 35, 51], Operations: ['83-32=51'] Exploring Operation: 75-35=40, Resulting Numbers: [51, 40] Generated Node #3: [51, 40] from Operation: 75-35=40 Current State: 91:[51, 40], Operations: ['83-32=51', '75-35=40'] Exploring Operation: 51+40=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 13, 1, 23 ]
24
[ "23-1=22", "22/2=11", "13+11=24" ]
Current State: 24:[2, 13, 1, 23], Operations: [] Exploring Operation: 23-1=22, Resulting Numbers: [2, 13, 22] Generated Node #2: [2, 13, 22] from Operation: 23-1=22 Current State: 24:[2, 13, 22], Operations: ['23-1=22'] Exploring Operation: 22/2=11, Resulting Numbers: [13, 11] Generated Node #3: [13, 11] from Operation: 22/2=11 Current State: 24:[13, 11], Operations: ['23-1=22', '22/2=11'] Exploring Operation: 13+11=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 55, 41, 18, 38 ]
61
[ "41-38=3", "18/3=6", "55+6=61" ]
Current State: 61:[55, 41, 18, 38], Operations: [] Exploring Operation: 41-38=3, Resulting Numbers: [55, 18, 3] Generated Node #2: [55, 18, 3] from Operation: 41-38=3 Current State: 61:[55, 18, 3], Operations: ['41-38=3'] Exploring Operation: 18/3=6, Resulting Numbers: [55, 6] Generated Node #3: [55, 6] from Operation: 18/3=6 Current State: 61:[55, 6], Operations: ['41-38=3', '18/3=6'] Exploring Operation: 55+6=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 8, 38, 36, 60 ]
54
[ "38-8=30", "60-36=24", "30+24=54" ]
Current State: 54:[8, 38, 36, 60], Operations: [] Exploring Operation: 38-8=30, Resulting Numbers: [36, 60, 30] Generated Node #2: [36, 60, 30] from Operation: 38-8=30 Current State: 54:[36, 60, 30], Operations: ['38-8=30'] Exploring Operation: 60-36=24, Resulting Numbers: [30, 24] Generated Node #3: [30, 24] from Operation: 60-36=24 Current State: 54:[30, 24], Operations: ['38-8=30', '60-36=24'] Exploring Operation: 30+24=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 81, 1, 10, 95 ]
25
[ "81-1=80", "10+95=105", "105-80=25" ]
Current State: 25:[81, 1, 10, 95], Operations: [] Exploring Operation: 81-1=80, Resulting Numbers: [10, 95, 80] Generated Node #2: [10, 95, 80] from Operation: 81-1=80 Current State: 25:[10, 95, 80], Operations: ['81-1=80'] Exploring Operation: 10+95=105, Resulting Numbers: [80, 105] Generated Node #3: [80, 105] from Operation: 10+95=105 Current State: 25:[80, 105], Operations: ['81-1=80', '10+95=105'] Exploring Operation: 105-80=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 28, 33, 30, 99 ]
61
[ "28+30=58", "99/33=3", "58+3=61" ]
Current State: 61:[28, 33, 30, 99], Operations: [] Exploring Operation: 28+30=58, Resulting Numbers: [33, 99, 58] Generated Node #2: [33, 99, 58] from Operation: 28+30=58 Current State: 61:[33, 99, 58], Operations: ['28+30=58'] Exploring Operation: 99/33=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 99/33=3 Current State: 61:[58, 3], Operations: ['28+30=58', '99/33=3'] Exploring Operation: 58+3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 68, 19, 68, 20 ]
38
[ "68/68=1", "19+20=39", "39-1=38" ]
Current State: 38:[68, 19, 68, 20], Operations: [] Exploring Operation: 68/68=1, Resulting Numbers: [19, 20, 1] Generated Node #2: [19, 20, 1] from Operation: 68/68=1 Current State: 38:[19, 20, 1], Operations: ['68/68=1'] Exploring Operation: 19+20=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 19+20=39 Current State: 38:[1, 39], Operations: ['68/68=1', '19+20=39'] Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 2, 85, 43, 13 ]
53
[ "85-2=83", "43-13=30", "83-30=53" ]
Current State: 53:[2, 85, 43, 13], Operations: [] Exploring Operation: 85-2=83, Resulting Numbers: [43, 13, 83] Generated Node #2: [43, 13, 83] from Operation: 85-2=83 Current State: 53:[43, 13, 83], Operations: ['85-2=83'] Exploring Operation: 43-13=30, Resulting Numbers: [83, 30] Generated Node #3: [83, 30] from Operation: 43-13=30 Current State: 53:[83, 30], Operations: ['85-2=83', '43-13=30'] Exploring Operation: 83-30=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 81, 31, 93, 78 ]
38
[ "31*93=2883", "81+2883=2964", "2964/78=38" ]
Current State: 38:[81, 31, 93, 78], Operations: [] Exploring Operation: 31*93=2883, Resulting Numbers: [81, 78, 2883] Generated Node #2: [81, 78, 2883] from Operation: 31*93=2883 Current State: 38:[81, 78, 2883], Operations: ['31*93=2883'] Exploring Operation: 81+2883=2964, Resulting Numbers: [78, 2964] Generated Node #3: [78, 2964] from Operation: 81+2883=2964 Current State: 38:[78, 2964], Operations: ['31*93=2883', '81+2883=2964'] Exploring Operation: 2964/78=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 19, 49, 6, 53 ]
90
[ "19+49=68", "68-53=15", "6*15=90" ]
Current State: 90:[19, 49, 6, 53], Operations: [] Exploring Operation: 19+49=68, Resulting Numbers: [6, 53, 68] Generated Node #2: [6, 53, 68] from Operation: 19+49=68 Current State: 90:[6, 53, 68], Operations: ['19+49=68'] Exploring Operation: 68-53=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 68-53=15 Current State: 90:[6, 15], Operations: ['19+49=68', '68-53=15'] Exploring Operation: 6*15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 38, 4, 21, 23 ]
33
[ "38+21=59", "4*23=92", "92-59=33" ]
Current State: 33:[38, 4, 21, 23], Operations: [] Exploring Operation: 38+21=59, Resulting Numbers: [4, 23, 59] Generated Node #2: [4, 23, 59] from Operation: 38+21=59 Current State: 33:[4, 23, 59], Operations: ['38+21=59'] Exploring Operation: 4*23=92, Resulting Numbers: [59, 92] Generated Node #3: [59, 92] from Operation: 4*23=92 Current State: 33:[59, 92], Operations: ['38+21=59', '4*23=92'] Exploring Operation: 92-59=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 26, 35, 2, 66 ]
55
[ "35-26=9", "66-2=64", "64-9=55" ]
Current State: 55:[26, 35, 2, 66], Operations: [] Exploring Operation: 35-26=9, Resulting Numbers: [2, 66, 9] Generated Node #2: [2, 66, 9] from Operation: 35-26=9 Current State: 55:[2, 66, 9], Operations: ['35-26=9'] Exploring Operation: 66-2=64, Resulting Numbers: [9, 64] Generated Node #3: [9, 64] from Operation: 66-2=64 Current State: 55:[9, 64], Operations: ['35-26=9', '66-2=64'] Exploring Operation: 64-9=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 83, 52, 55, 24 ]
75
[ "55-52=3", "24/3=8", "83-8=75" ]
Current State: 75:[83, 52, 55, 24], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [83, 24, 3] Generated Node #2: [83, 24, 3] from Operation: 55-52=3 Current State: 75:[83, 24, 3], Operations: ['55-52=3'] Exploring Operation: 24/3=8, Resulting Numbers: [83, 8] Generated Node #3: [83, 8] from Operation: 24/3=8 Current State: 75:[83, 8], Operations: ['55-52=3', '24/3=8'] Exploring Operation: 83-8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 19, 50, 53, 98 ]
82
[ "19+50=69", "53+98=151", "151-69=82" ]
Current State: 82:[19, 50, 53, 98], Operations: [] Exploring Operation: 19+50=69, Resulting Numbers: [53, 98, 69] Generated Node #2: [53, 98, 69] from Operation: 19+50=69 Current State: 82:[53, 98, 69], Operations: ['19+50=69'] Exploring Operation: 53+98=151, Resulting Numbers: [69, 151] Generated Node #3: [69, 151] from Operation: 53+98=151 Current State: 82:[69, 151], Operations: ['19+50=69', '53+98=151'] Exploring Operation: 151-69=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 21, 42, 75, 8 ]
71
[ "42/21=2", "8/2=4", "75-4=71" ]
Current State: 71:[21, 42, 75, 8], Operations: [] Exploring Operation: 42/21=2, Resulting Numbers: [75, 8, 2] Generated Node #2: [75, 8, 2] from Operation: 42/21=2 Current State: 71:[75, 8, 2], Operations: ['42/21=2'] Exploring Operation: 8/2=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 8/2=4 Current State: 71:[75, 4], Operations: ['42/21=2', '8/2=4'] Exploring Operation: 75-4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 30, 20, 62, 70 ]
58
[ "30+20=50", "70-62=8", "50+8=58" ]
Current State: 58:[30, 20, 62, 70], Operations: [] Exploring Operation: 30+20=50, Resulting Numbers: [62, 70, 50] Generated Node #2: [62, 70, 50] from Operation: 30+20=50 Current State: 58:[62, 70, 50], Operations: ['30+20=50'] Exploring Operation: 70-62=8, Resulting Numbers: [50, 8] Generated Node #3: [50, 8] from Operation: 70-62=8 Current State: 58:[50, 8], Operations: ['30+20=50', '70-62=8'] Exploring Operation: 50+8=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 68, 86, 5, 89 ]
66
[ "86-68=18", "89-5=84", "84-18=66" ]
Current State: 66:[68, 86, 5, 89], Operations: [] Exploring Operation: 86-68=18, Resulting Numbers: [5, 89, 18] Generated Node #2: [5, 89, 18] from Operation: 86-68=18 Current State: 66:[5, 89, 18], Operations: ['86-68=18'] Exploring Operation: 89-5=84, Resulting Numbers: [18, 84] Generated Node #3: [18, 84] from Operation: 89-5=84 Current State: 66:[18, 84], Operations: ['86-68=18', '89-5=84'] Exploring Operation: 84-18=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 61, 59, 34, 62 ]
65
[ "61-59=2", "62/2=31", "34+31=65" ]
Current State: 65:[61, 59, 34, 62], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [34, 62, 2] Generated Node #2: [34, 62, 2] from Operation: 61-59=2 Current State: 65:[34, 62, 2], Operations: ['61-59=2'] Exploring Operation: 62/2=31, Resulting Numbers: [34, 31] Generated Node #3: [34, 31] from Operation: 62/2=31 Current State: 65:[34, 31], Operations: ['61-59=2', '62/2=31'] Exploring Operation: 34+31=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 50, 36, 71, 11 ]
96
[ "50-36=14", "71+11=82", "14+82=96" ]
Current State: 96:[50, 36, 71, 11], Operations: [] Exploring Operation: 50-36=14, Resulting Numbers: [71, 11, 14] Generated Node #2: [71, 11, 14] from Operation: 50-36=14 Current State: 96:[71, 11, 14], Operations: ['50-36=14'] Exploring Operation: 71+11=82, Resulting Numbers: [14, 82] Generated Node #3: [14, 82] from Operation: 71+11=82 Current State: 96:[14, 82], Operations: ['50-36=14', '71+11=82'] Exploring Operation: 14+82=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 5, 81, 8, 49 ]
22
[ "8-5=3", "81/3=27", "49-27=22" ]
Current State: 22:[5, 81, 8, 49], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [81, 49, 3] Generated Node #2: [81, 49, 3] from Operation: 8-5=3 Current State: 22:[81, 49, 3], Operations: ['8-5=3'] Exploring Operation: 81/3=27, Resulting Numbers: [49, 27] Generated Node #3: [49, 27] from Operation: 81/3=27 Current State: 22:[49, 27], Operations: ['8-5=3', '81/3=27'] Exploring Operation: 49-27=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 39, 94, 97, 61 ]
91
[ "94-39=55", "97-61=36", "55+36=91" ]
Current State: 91:[39, 94, 97, 61], Operations: [] Exploring Operation: 94-39=55, Resulting Numbers: [97, 61, 55] Generated Node #2: [97, 61, 55] from Operation: 94-39=55 Current State: 91:[97, 61, 55], Operations: ['94-39=55'] Exploring Operation: 97-61=36, Resulting Numbers: [55, 36] Generated Node #3: [55, 36] from Operation: 97-61=36 Current State: 91:[55, 36], Operations: ['94-39=55', '97-61=36'] Exploring Operation: 55+36=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 37, 63, 63, 51 ]
38
[ "63-37=26", "63-51=12", "26+12=38" ]
Current State: 38:[37, 63, 63, 51], Operations: [] Exploring Operation: 63-37=26, Resulting Numbers: [51, 26] Generated Node #2: [51, 26] from Operation: 63-37=26 Current State: 38:[51, 26], Operations: ['63-37=26'] Exploring Operation: 63-51=12, Resulting Numbers: [26, 12] Generated Node #3: [26, 12] from Operation: 63-51=12 Current State: 38:[26, 12], Operations: ['63-37=26', '63-51=12'] Exploring Operation: 26+12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 70, 15, 84, 42 ]
87
[ "70+15=85", "84/42=2", "85+2=87" ]
Current State: 87:[70, 15, 84, 42], Operations: [] Exploring Operation: 70+15=85, Resulting Numbers: [84, 42, 85] Generated Node #2: [84, 42, 85] from Operation: 70+15=85 Current State: 87:[84, 42, 85], Operations: ['70+15=85'] Exploring Operation: 84/42=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 84/42=2 Current State: 87:[85, 2], Operations: ['70+15=85', '84/42=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 90, 87, 92, 31 ]
54
[ "90+87=177", "92+31=123", "177-123=54" ]
Current State: 54:[90, 87, 92, 31], Operations: [] Exploring Operation: 90+87=177, Resulting Numbers: [92, 31, 177] Generated Node #2: [92, 31, 177] from Operation: 90+87=177 Current State: 54:[92, 31, 177], Operations: ['90+87=177'] Exploring Operation: 92+31=123, Resulting Numbers: [177, 123] Generated Node #3: [177, 123] from Operation: 92+31=123 Current State: 54:[177, 123], Operations: ['90+87=177', '92+31=123'] Exploring Operation: 177-123=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 17, 38, 65, 32 ]
76
[ "38-17=21", "65+32=97", "97-21=76" ]
Current State: 76:[17, 38, 65, 32], Operations: [] Exploring Operation: 38-17=21, Resulting Numbers: [65, 32, 21] Generated Node #2: [65, 32, 21] from Operation: 38-17=21 Current State: 76:[65, 32, 21], Operations: ['38-17=21'] Exploring Operation: 65+32=97, Resulting Numbers: [21, 97] Generated Node #3: [21, 97] from Operation: 65+32=97 Current State: 76:[21, 97], Operations: ['38-17=21', '65+32=97'] Exploring Operation: 97-21=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 83, 18, 13, 15 ]
73
[ "83+18=101", "13+15=28", "101-28=73" ]
Current State: 73:[83, 18, 13, 15], Operations: [] Exploring Operation: 83+18=101, Resulting Numbers: [13, 15, 101] Generated Node #2: [13, 15, 101] from Operation: 83+18=101 Current State: 73:[13, 15, 101], Operations: ['83+18=101'] Exploring Operation: 13+15=28, Resulting Numbers: [101, 28] Generated Node #3: [101, 28] from Operation: 13+15=28 Current State: 73:[101, 28], Operations: ['83+18=101', '13+15=28'] Exploring Operation: 101-28=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 44, 39, 84, 76 ]
76
[ "44+39=83", "84-83=1", "76*1=76" ]
Current State: 76:[44, 39, 84, 76], Operations: [] Exploring Operation: 44+39=83, Resulting Numbers: [84, 76, 83] Generated Node #2: [84, 76, 83] from Operation: 44+39=83 Current State: 76:[84, 76, 83], Operations: ['44+39=83'] Exploring Operation: 84-83=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 84-83=1 Current State: 76:[76, 1], Operations: ['44+39=83', '84-83=1'] Exploring Operation: 76*1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 49, 42, 35, 58 ]
71
[ "42*58=2436", "49+2436=2485", "2485/35=71" ]
Current State: 71:[49, 42, 35, 58], Operations: [] Exploring Operation: 42*58=2436, Resulting Numbers: [49, 35, 2436] Generated Node #2: [49, 35, 2436] from Operation: 42*58=2436 Current State: 71:[49, 35, 2436], Operations: ['42*58=2436'] Exploring Operation: 49+2436=2485, Resulting Numbers: [35, 2485] Generated Node #3: [35, 2485] from Operation: 49+2436=2485 Current State: 71:[35, 2485], Operations: ['42*58=2436', '49+2436=2485'] Exploring Operation: 2485/35=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 12, 17, 33, 19 ]
36
[ "33-17=16", "19-16=3", "12*3=36" ]
Current State: 36:[12, 17, 33, 19], Operations: [] Exploring Operation: 33-17=16, Resulting Numbers: [12, 19, 16] Generated Node #2: [12, 19, 16] from Operation: 33-17=16 Current State: 36:[12, 19, 16], Operations: ['33-17=16'] Exploring Operation: 19-16=3, Resulting Numbers: [12, 3] Generated Node #3: [12, 3] from Operation: 19-16=3 Current State: 36:[12, 3], Operations: ['33-17=16', '19-16=3'] Exploring Operation: 12*3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 30, 33, 33, 15 ]
44
[ "30+15=45", "33/33=1", "45-1=44" ]
Current State: 44:[30, 33, 33, 15], Operations: [] Exploring Operation: 30+15=45, Resulting Numbers: [33, 33, 45] Generated Node #2: [33, 33, 45] from Operation: 30+15=45 Current State: 44:[33, 33, 45], Operations: ['30+15=45'] Exploring Operation: 33/33=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 33/33=1 Current State: 44:[45, 1], Operations: ['30+15=45', '33/33=1'] Exploring Operation: 45-1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 26, 81, 2, 19 ]
37
[ "81-26=55", "19+55=74", "74/2=37" ]
Current State: 37:[26, 81, 2, 19], Operations: [] Exploring Operation: 81-26=55, Resulting Numbers: [2, 19, 55] Generated Node #2: [2, 19, 55] from Operation: 81-26=55 Current State: 37:[2, 19, 55], Operations: ['81-26=55'] Exploring Operation: 19+55=74, Resulting Numbers: [2, 74] Generated Node #3: [2, 74] from Operation: 19+55=74 Current State: 37:[2, 74], Operations: ['81-26=55', '19+55=74'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 46, 19, 10, 19 ]
99
[ "46*10=460", "19*19=361", "460-361=99" ]
Current State: 99:[46, 19, 10, 19], Operations: [] Exploring Operation: 46*10=460, Resulting Numbers: [19, 19, 460] Generated Node #2: [19, 19, 460] from Operation: 46*10=460 Current State: 99:[19, 19, 460], Operations: ['46*10=460'] Exploring Operation: 19*19=361, Resulting Numbers: [460, 361] Generated Node #3: [460, 361] from Operation: 19*19=361 Current State: 99:[460, 361], Operations: ['46*10=460', '19*19=361'] Exploring Operation: 460-361=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 2, 94, 44, 77 ]
25
[ "2+94=96", "44+77=121", "121-96=25" ]
Current State: 25:[2, 94, 44, 77], Operations: [] Exploring Operation: 2+94=96, Resulting Numbers: [44, 77, 96] Generated Node #2: [44, 77, 96] from Operation: 2+94=96 Current State: 25:[44, 77, 96], Operations: ['2+94=96'] Exploring Operation: 44+77=121, Resulting Numbers: [96, 121] Generated Node #3: [96, 121] from Operation: 44+77=121 Current State: 25:[96, 121], Operations: ['2+94=96', '44+77=121'] Exploring Operation: 121-96=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 46, 69, 82, 30 ]
63
[ "46+69=115", "82-30=52", "115-52=63" ]
Current State: 63:[46, 69, 82, 30], Operations: [] Exploring Operation: 46+69=115, Resulting Numbers: [82, 30, 115] Generated Node #2: [82, 30, 115] from Operation: 46+69=115 Current State: 63:[82, 30, 115], Operations: ['46+69=115'] Exploring Operation: 82-30=52, Resulting Numbers: [115, 52] Generated Node #3: [115, 52] from Operation: 82-30=52 Current State: 63:[115, 52], Operations: ['46+69=115', '82-30=52'] Exploring Operation: 115-52=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 13, 34, 52, 36 ]
39
[ "36-34=2", "52/2=26", "13+26=39" ]
Current State: 39:[13, 34, 52, 36], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [13, 52, 2] Generated Node #2: [13, 52, 2] from Operation: 36-34=2 Current State: 39:[13, 52, 2], Operations: ['36-34=2'] Exploring Operation: 52/2=26, Resulting Numbers: [13, 26] Generated Node #3: [13, 26] from Operation: 52/2=26 Current State: 39:[13, 26], Operations: ['36-34=2', '52/2=26'] Exploring Operation: 13+26=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 94, 33, 5, 79 ]
42
[ "94-79=15", "5*15=75", "75-33=42" ]
Current State: 42:[94, 33, 5, 79], Operations: [] Exploring Operation: 94-79=15, Resulting Numbers: [33, 5, 15] Generated Node #2: [33, 5, 15] from Operation: 94-79=15 Current State: 42:[33, 5, 15], Operations: ['94-79=15'] Exploring Operation: 5*15=75, Resulting Numbers: [33, 75] Generated Node #3: [33, 75] from Operation: 5*15=75 Current State: 42:[33, 75], Operations: ['94-79=15', '5*15=75'] Exploring Operation: 75-33=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 5, 45, 68, 30 ]
47
[ "45/5=9", "68-30=38", "9+38=47" ]
Current State: 47:[5, 45, 68, 30], Operations: [] Exploring Operation: 45/5=9, Resulting Numbers: [68, 30, 9] Generated Node #2: [68, 30, 9] from Operation: 45/5=9 Current State: 47:[68, 30, 9], Operations: ['45/5=9'] Exploring Operation: 68-30=38, Resulting Numbers: [9, 38] Generated Node #3: [9, 38] from Operation: 68-30=38 Current State: 47:[9, 38], Operations: ['45/5=9', '68-30=38'] Exploring Operation: 9+38=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 66, 3, 90, 5 ]
42
[ "5-3=2", "66*2=132", "132-90=42" ]
Current State: 42:[66, 3, 90, 5], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [66, 90, 2] Generated Node #2: [66, 90, 2] from Operation: 5-3=2 Current State: 42:[66, 90, 2], Operations: ['5-3=2'] Exploring Operation: 66*2=132, Resulting Numbers: [90, 132] Generated Node #3: [90, 132] from Operation: 66*2=132 Current State: 42:[90, 132], Operations: ['5-3=2', '66*2=132'] Exploring Operation: 132-90=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 12, 14, 88, 62 ]
24
[ "14-12=2", "88-62=26", "26-2=24" ]
Current State: 24:[12, 14, 88, 62], Operations: [] Exploring Operation: 14-12=2, Resulting Numbers: [88, 62, 2] Generated Node #2: [88, 62, 2] from Operation: 14-12=2 Current State: 24:[88, 62, 2], Operations: ['14-12=2'] Exploring Operation: 88-62=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 88-62=26 Current State: 24:[2, 26], Operations: ['14-12=2', '88-62=26'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 6, 69, 8, 19 ]
98
[ "6*8=48", "69-19=50", "48+50=98" ]
Current State: 98:[6, 69, 8, 19], Operations: [] Exploring Operation: 6*8=48, Resulting Numbers: [69, 19, 48] Generated Node #2: [69, 19, 48] from Operation: 6*8=48 Current State: 98:[69, 19, 48], Operations: ['6*8=48'] Exploring Operation: 69-19=50, Resulting Numbers: [48, 50] Generated Node #3: [48, 50] from Operation: 69-19=50 Current State: 98:[48, 50], Operations: ['6*8=48', '69-19=50'] Exploring Operation: 48+50=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 74, 55, 1, 10 ]
13
[ "74+55=129", "1+129=130", "130/10=13" ]
Current State: 13:[74, 55, 1, 10], Operations: [] Exploring Operation: 74+55=129, Resulting Numbers: [1, 10, 129] Generated Node #2: [1, 10, 129] from Operation: 74+55=129 Current State: 13:[1, 10, 129], Operations: ['74+55=129'] Exploring Operation: 1+129=130, Resulting Numbers: [10, 130] Generated Node #3: [10, 130] from Operation: 1+129=130 Current State: 13:[10, 130], Operations: ['74+55=129', '1+129=130'] Exploring Operation: 130/10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 32, 64, 79, 94 ]
32
[ "64/32=2", "94/2=47", "79-47=32" ]
Current State: 32:[32, 64, 79, 94], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [79, 94, 2] Generated Node #2: [79, 94, 2] from Operation: 64/32=2 Current State: 32:[79, 94, 2], Operations: ['64/32=2'] Exploring Operation: 94/2=47, Resulting Numbers: [79, 47] Generated Node #3: [79, 47] from Operation: 94/2=47 Current State: 32:[79, 47], Operations: ['64/32=2', '94/2=47'] Exploring Operation: 79-47=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 96, 4, 87, 98 ]
81
[ "96-4=92", "98-87=11", "92-11=81" ]
Current State: 81:[96, 4, 87, 98], Operations: [] Exploring Operation: 96-4=92, Resulting Numbers: [87, 98, 92] Generated Node #2: [87, 98, 92] from Operation: 96-4=92 Current State: 81:[87, 98, 92], Operations: ['96-4=92'] Exploring Operation: 98-87=11, Resulting Numbers: [92, 11] Generated Node #3: [92, 11] from Operation: 98-87=11 Current State: 81:[92, 11], Operations: ['96-4=92', '98-87=11'] Exploring Operation: 92-11=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 51, 16, 82, 3 ]
55
[ "51*3=153", "16+82=98", "153-98=55" ]
Current State: 55:[51, 16, 82, 3], Operations: [] Exploring Operation: 51*3=153, Resulting Numbers: [16, 82, 153] Generated Node #2: [16, 82, 153] from Operation: 51*3=153 Current State: 55:[16, 82, 153], Operations: ['51*3=153'] Exploring Operation: 16+82=98, Resulting Numbers: [153, 98] Generated Node #3: [153, 98] from Operation: 16+82=98 Current State: 55:[153, 98], Operations: ['51*3=153', '16+82=98'] Exploring Operation: 153-98=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 9, 48, 23, 16 ]
35
[ "9+23=32", "48/16=3", "32+3=35" ]
Current State: 35:[9, 48, 23, 16], Operations: [] Exploring Operation: 9+23=32, Resulting Numbers: [48, 16, 32] Generated Node #2: [48, 16, 32] from Operation: 9+23=32 Current State: 35:[48, 16, 32], Operations: ['9+23=32'] Exploring Operation: 48/16=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 48/16=3 Current State: 35:[32, 3], Operations: ['9+23=32', '48/16=3'] Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 94, 2, 97, 87 ]
93
[ "97-94=3", "2*3=6", "87+6=93" ]
Current State: 93:[94, 2, 97, 87], Operations: [] Exploring Operation: 97-94=3, Resulting Numbers: [2, 87, 3] Generated Node #2: [2, 87, 3] from Operation: 97-94=3 Current State: 93:[2, 87, 3], Operations: ['97-94=3'] Exploring Operation: 2*3=6, Resulting Numbers: [87, 6] Generated Node #3: [87, 6] from Operation: 2*3=6 Current State: 93:[87, 6], Operations: ['97-94=3', '2*3=6'] Exploring Operation: 87+6=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 64, 69, 4, 66 ]
13
[ "64/4=16", "69-66=3", "16-3=13" ]
Current State: 13:[64, 69, 4, 66], Operations: [] Exploring Operation: 64/4=16, Resulting Numbers: [69, 66, 16] Generated Node #2: [69, 66, 16] from Operation: 64/4=16 Current State: 13:[69, 66, 16], Operations: ['64/4=16'] Exploring Operation: 69-66=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 69-66=3 Current State: 13:[16, 3], Operations: ['64/4=16', '69-66=3'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 91, 24, 49, 85 ]
19
[ "91+24=115", "49+85=134", "134-115=19" ]
Current State: 19:[91, 24, 49, 85], Operations: [] Exploring Operation: 91+24=115, Resulting Numbers: [49, 85, 115] Generated Node #2: [49, 85, 115] from Operation: 91+24=115 Current State: 19:[49, 85, 115], Operations: ['91+24=115'] Exploring Operation: 49+85=134, Resulting Numbers: [115, 134] Generated Node #3: [115, 134] from Operation: 49+85=134 Current State: 19:[115, 134], Operations: ['91+24=115', '49+85=134'] Exploring Operation: 134-115=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 60, 1, 21, 4 ]
84
[ "60-1=59", "21+4=25", "59+25=84" ]
Current State: 84:[60, 1, 21, 4], Operations: [] Exploring Operation: 60-1=59, Resulting Numbers: [21, 4, 59] Generated Node #2: [21, 4, 59] from Operation: 60-1=59 Current State: 84:[21, 4, 59], Operations: ['60-1=59'] Exploring Operation: 21+4=25, Resulting Numbers: [59, 25] Generated Node #3: [59, 25] from Operation: 21+4=25 Current State: 84:[59, 25], Operations: ['60-1=59', '21+4=25'] Exploring Operation: 59+25=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 25, 49, 33, 72 ]
97
[ "33*72=2376", "49+2376=2425", "2425/25=97" ]
Current State: 97:[25, 49, 33, 72], Operations: [] Exploring Operation: 33*72=2376, Resulting Numbers: [25, 49, 2376] Generated Node #2: [25, 49, 2376] from Operation: 33*72=2376 Current State: 97:[25, 49, 2376], Operations: ['33*72=2376'] Exploring Operation: 49+2376=2425, Resulting Numbers: [25, 2425] Generated Node #3: [25, 2425] from Operation: 49+2376=2425 Current State: 97:[25, 2425], Operations: ['33*72=2376', '49+2376=2425'] Exploring Operation: 2425/25=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 37, 13, 47, 1 ]
23
[ "37-13=24", "47*1=47", "47-24=23" ]
Current State: 23:[37, 13, 47, 1], Operations: [] Exploring Operation: 37-13=24, Resulting Numbers: [47, 1, 24] Generated Node #2: [47, 1, 24] from Operation: 37-13=24 Current State: 23:[47, 1, 24], Operations: ['37-13=24'] Exploring Operation: 47*1=47, Resulting Numbers: [24, 47] Generated Node #3: [24, 47] from Operation: 47*1=47 Current State: 23:[24, 47], Operations: ['37-13=24', '47*1=47'] Exploring Operation: 47-24=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 74, 50, 70, 70 ]
30
[ "74-70=4", "50+70=120", "120/4=30" ]
Current State: 30:[74, 50, 70, 70], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [50, 4] Generated Node #2: [50, 4] from Operation: 74-70=4 Current State: 30:[50, 4], Operations: ['74-70=4'] Exploring Operation: 50+70=120, Resulting Numbers: [4, 120] Generated Node #3: [4, 120] from Operation: 50+70=120 Current State: 30:[4, 120], Operations: ['74-70=4', '50+70=120'] Exploring Operation: 120/4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 47, 8, 22, 40 ]
23
[ "47-8=39", "22+40=62", "62-39=23" ]
Current State: 23:[47, 8, 22, 40], Operations: [] Exploring Operation: 47-8=39, Resulting Numbers: [22, 40, 39] Generated Node #2: [22, 40, 39] from Operation: 47-8=39 Current State: 23:[22, 40, 39], Operations: ['47-8=39'] Exploring Operation: 22+40=62, Resulting Numbers: [39, 62] Generated Node #3: [39, 62] from Operation: 22+40=62 Current State: 23:[39, 62], Operations: ['47-8=39', '22+40=62'] Exploring Operation: 62-39=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 99, 83, 5, 69 ]
29
[ "83-69=14", "5*14=70", "99-70=29" ]
Current State: 29:[99, 83, 5, 69], Operations: [] Exploring Operation: 83-69=14, Resulting Numbers: [99, 5, 14] Generated Node #2: [99, 5, 14] from Operation: 83-69=14 Current State: 29:[99, 5, 14], Operations: ['83-69=14'] Exploring Operation: 5*14=70, Resulting Numbers: [99, 70] Generated Node #3: [99, 70] from Operation: 5*14=70 Current State: 29:[99, 70], Operations: ['83-69=14', '5*14=70'] Exploring Operation: 99-70=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 6, 23, 86, 8 ]
65
[ "6+23=29", "86+8=94", "94-29=65" ]
Current State: 65:[6, 23, 86, 8], Operations: [] Exploring Operation: 6+23=29, Resulting Numbers: [86, 8, 29] Generated Node #2: [86, 8, 29] from Operation: 6+23=29 Current State: 65:[86, 8, 29], Operations: ['6+23=29'] Exploring Operation: 86+8=94, Resulting Numbers: [29, 94] Generated Node #3: [29, 94] from Operation: 86+8=94 Current State: 65:[29, 94], Operations: ['6+23=29', '86+8=94'] Exploring Operation: 94-29=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 12, 69, 47, 27 ]
55
[ "69+27=96", "96/12=8", "47+8=55" ]
Current State: 55:[12, 69, 47, 27], Operations: [] Exploring Operation: 69+27=96, Resulting Numbers: [12, 47, 96] Generated Node #2: [12, 47, 96] from Operation: 69+27=96 Current State: 55:[12, 47, 96], Operations: ['69+27=96'] Exploring Operation: 96/12=8, Resulting Numbers: [47, 8] Generated Node #3: [47, 8] from Operation: 96/12=8 Current State: 55:[47, 8], Operations: ['69+27=96', '96/12=8'] Exploring Operation: 47+8=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 41, 6, 48, 92 ]
93
[ "41+6=47", "48+92=140", "140-47=93" ]
Current State: 93:[41, 6, 48, 92], Operations: [] Exploring Operation: 41+6=47, Resulting Numbers: [48, 92, 47] Generated Node #2: [48, 92, 47] from Operation: 41+6=47 Current State: 93:[48, 92, 47], Operations: ['41+6=47'] Exploring Operation: 48+92=140, Resulting Numbers: [47, 140] Generated Node #3: [47, 140] from Operation: 48+92=140 Current State: 93:[47, 140], Operations: ['41+6=47', '48+92=140'] Exploring Operation: 140-47=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 75, 47, 19, 50 ]
44
[ "47+19=66", "50*66=3300", "3300/75=44" ]
Current State: 44:[75, 47, 19, 50], Operations: [] Exploring Operation: 47+19=66, Resulting Numbers: [75, 50, 66] Generated Node #2: [75, 50, 66] from Operation: 47+19=66 Current State: 44:[75, 50, 66], Operations: ['47+19=66'] Exploring Operation: 50*66=3300, Resulting Numbers: [75, 3300] Generated Node #3: [75, 3300] from Operation: 50*66=3300 Current State: 44:[75, 3300], Operations: ['47+19=66', '50*66=3300'] Exploring Operation: 3300/75=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 19, 46, 87, 75 ]
15
[ "46-19=27", "87-75=12", "27-12=15" ]
Current State: 15:[19, 46, 87, 75], Operations: [] Exploring Operation: 46-19=27, Resulting Numbers: [87, 75, 27] Generated Node #2: [87, 75, 27] from Operation: 46-19=27 Current State: 15:[87, 75, 27], Operations: ['46-19=27'] Exploring Operation: 87-75=12, Resulting Numbers: [27, 12] Generated Node #3: [27, 12] from Operation: 87-75=12 Current State: 15:[27, 12], Operations: ['46-19=27', '87-75=12'] Exploring Operation: 27-12=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 86, 33, 84, 14 ]
21
[ "86+33=119", "84+14=98", "119-98=21" ]
Current State: 21:[86, 33, 84, 14], Operations: [] Exploring Operation: 86+33=119, Resulting Numbers: [84, 14, 119] Generated Node #2: [84, 14, 119] from Operation: 86+33=119 Current State: 21:[84, 14, 119], Operations: ['86+33=119'] Exploring Operation: 84+14=98, Resulting Numbers: [119, 98] Generated Node #3: [119, 98] from Operation: 84+14=98 Current State: 21:[119, 98], Operations: ['86+33=119', '84+14=98'] Exploring Operation: 119-98=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 44, 46, 23, 10 ]
32
[ "44+46=90", "90/10=9", "23+9=32" ]
Current State: 32:[44, 46, 23, 10], Operations: [] Exploring Operation: 44+46=90, Resulting Numbers: [23, 10, 90] Generated Node #2: [23, 10, 90] from Operation: 44+46=90 Current State: 32:[23, 10, 90], Operations: ['44+46=90'] Exploring Operation: 90/10=9, Resulting Numbers: [23, 9] Generated Node #3: [23, 9] from Operation: 90/10=9 Current State: 32:[23, 9], Operations: ['44+46=90', '90/10=9'] Exploring Operation: 23+9=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 3, 21, 29, 30 ]
80
[ "30/3=10", "29-21=8", "10*8=80" ]
Current State: 80:[3, 21, 29, 30], Operations: [] Exploring Operation: 30/3=10, Resulting Numbers: [21, 29, 10] Generated Node #2: [21, 29, 10] from Operation: 30/3=10 Current State: 80:[21, 29, 10], Operations: ['30/3=10'] Exploring Operation: 29-21=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 29-21=8 Current State: 80:[10, 8], Operations: ['30/3=10', '29-21=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 99, 8, 83, 92 ]
84
[ "99-8=91", "83+92=175", "175-91=84" ]
Current State: 84:[99, 8, 83, 92], Operations: [] Exploring Operation: 99-8=91, Resulting Numbers: [83, 92, 91] Generated Node #2: [83, 92, 91] from Operation: 99-8=91 Current State: 84:[83, 92, 91], Operations: ['99-8=91'] Exploring Operation: 83+92=175, Resulting Numbers: [91, 175] Generated Node #3: [91, 175] from Operation: 83+92=175 Current State: 84:[91, 175], Operations: ['99-8=91', '83+92=175'] Exploring Operation: 175-91=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 40, 74, 69, 36 ]
96
[ "40*69=2760", "74*36=2664", "2760-2664=96" ]
Current State: 96:[40, 74, 69, 36], Operations: [] Exploring Operation: 40*69=2760, Resulting Numbers: [74, 36, 2760] Generated Node #2: [74, 36, 2760] from Operation: 40*69=2760 Current State: 96:[74, 36, 2760], Operations: ['40*69=2760'] Exploring Operation: 74*36=2664, Resulting Numbers: [2760, 2664] Generated Node #3: [2760, 2664] from Operation: 74*36=2664 Current State: 96:[2760, 2664], Operations: ['40*69=2760', '74*36=2664'] Exploring Operation: 2760-2664=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 19, 45, 12, 31 ]
99
[ "31-19=12", "12*12=144", "144-45=99" ]
Current State: 99:[19, 45, 12, 31], Operations: [] Exploring Operation: 31-19=12, Resulting Numbers: [45, 12, 12] Generated Node #2: [45, 12, 12] from Operation: 31-19=12 Current State: 99:[45, 12, 12], Operations: ['31-19=12'] Exploring Operation: 12*12=144, Resulting Numbers: [45, 144] Generated Node #3: [45, 144] from Operation: 12*12=144 Current State: 99:[45, 144], Operations: ['31-19=12', '12*12=144'] Exploring Operation: 144-45=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 14, 74, 7, 21 ]
88
[ "74-14=60", "7+21=28", "60+28=88" ]
Current State: 88:[14, 74, 7, 21], Operations: [] Exploring Operation: 74-14=60, Resulting Numbers: [7, 21, 60] Generated Node #2: [7, 21, 60] from Operation: 74-14=60 Current State: 88:[7, 21, 60], Operations: ['74-14=60'] Exploring Operation: 7+21=28, Resulting Numbers: [60, 28] Generated Node #3: [60, 28] from Operation: 7+21=28 Current State: 88:[60, 28], Operations: ['74-14=60', '7+21=28'] Exploring Operation: 60+28=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 48, 5, 55, 13 ]
72
[ "55-48=7", "5*13=65", "7+65=72" ]
Current State: 72:[48, 5, 55, 13], Operations: [] Exploring Operation: 55-48=7, Resulting Numbers: [5, 13, 7] Generated Node #2: [5, 13, 7] from Operation: 55-48=7 Current State: 72:[5, 13, 7], Operations: ['55-48=7'] Exploring Operation: 5*13=65, Resulting Numbers: [7, 65] Generated Node #3: [7, 65] from Operation: 5*13=65 Current State: 72:[7, 65], Operations: ['55-48=7', '5*13=65'] Exploring Operation: 7+65=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 16, 2, 9, 46 ]
51
[ "16-2=14", "46-9=37", "14+37=51" ]
Current State: 51:[16, 2, 9, 46], Operations: [] Exploring Operation: 16-2=14, Resulting Numbers: [9, 46, 14] Generated Node #2: [9, 46, 14] from Operation: 16-2=14 Current State: 51:[9, 46, 14], Operations: ['16-2=14'] Exploring Operation: 46-9=37, Resulting Numbers: [14, 37] Generated Node #3: [14, 37] from Operation: 46-9=37 Current State: 51:[14, 37], Operations: ['16-2=14', '46-9=37'] Exploring Operation: 14+37=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 31, 10, 15, 84 ]
23
[ "31+84=115", "15-10=5", "115/5=23" ]
Current State: 23:[31, 10, 15, 84], Operations: [] Exploring Operation: 31+84=115, Resulting Numbers: [10, 15, 115] Generated Node #2: [10, 15, 115] from Operation: 31+84=115 Current State: 23:[10, 15, 115], Operations: ['31+84=115'] Exploring Operation: 15-10=5, Resulting Numbers: [115, 5] Generated Node #3: [115, 5] from Operation: 15-10=5 Current State: 23:[115, 5], Operations: ['31+84=115', '15-10=5'] Exploring Operation: 115/5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 45, 11, 63, 72 ]
90
[ "11+63=74", "74-72=2", "45*2=90" ]
Current State: 90:[45, 11, 63, 72], Operations: [] Exploring Operation: 11+63=74, Resulting Numbers: [45, 72, 74] Generated Node #2: [45, 72, 74] from Operation: 11+63=74 Current State: 90:[45, 72, 74], Operations: ['11+63=74'] Exploring Operation: 74-72=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 74-72=2 Current State: 90:[45, 2], Operations: ['11+63=74', '74-72=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 75, 11, 96, 86 ]
54
[ "75-11=64", "96-86=10", "64-10=54" ]
Current State: 54:[75, 11, 96, 86], Operations: [] Exploring Operation: 75-11=64, Resulting Numbers: [96, 86, 64] Generated Node #2: [96, 86, 64] from Operation: 75-11=64 Current State: 54:[96, 86, 64], Operations: ['75-11=64'] Exploring Operation: 96-86=10, Resulting Numbers: [64, 10] Generated Node #3: [64, 10] from Operation: 96-86=10 Current State: 54:[64, 10], Operations: ['75-11=64', '96-86=10'] Exploring Operation: 64-10=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 39, 19, 74, 70 ]
16
[ "39-19=20", "74-70=4", "20-4=16" ]
Current State: 16:[39, 19, 74, 70], Operations: [] Exploring Operation: 39-19=20, Resulting Numbers: [74, 70, 20] Generated Node #2: [74, 70, 20] from Operation: 39-19=20 Current State: 16:[74, 70, 20], Operations: ['39-19=20'] Exploring Operation: 74-70=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 74-70=4 Current State: 16:[20, 4], Operations: ['39-19=20', '74-70=4'] Exploring Operation: 20-4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 97, 60, 30, 32 ]
99
[ "97-60=37", "30+32=62", "37+62=99" ]
Current State: 99:[97, 60, 30, 32], Operations: [] Exploring Operation: 97-60=37, Resulting Numbers: [30, 32, 37] Generated Node #2: [30, 32, 37] from Operation: 97-60=37 Current State: 99:[30, 32, 37], Operations: ['97-60=37'] Exploring Operation: 30+32=62, Resulting Numbers: [37, 62] Generated Node #3: [37, 62] from Operation: 30+32=62 Current State: 99:[37, 62], Operations: ['97-60=37', '30+32=62'] Exploring Operation: 37+62=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 73, 5, 8, 43 ]
56
[ "73-8=65", "65/5=13", "43+13=56" ]
Current State: 56:[73, 5, 8, 43], Operations: [] Exploring Operation: 73-8=65, Resulting Numbers: [5, 43, 65] Generated Node #2: [5, 43, 65] from Operation: 73-8=65 Current State: 56:[5, 43, 65], Operations: ['73-8=65'] Exploring Operation: 65/5=13, Resulting Numbers: [43, 13] Generated Node #3: [43, 13] from Operation: 65/5=13 Current State: 56:[43, 13], Operations: ['73-8=65', '65/5=13'] Exploring Operation: 43+13=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 39, 87, 14, 77 ]
86
[ "39+87=126", "126/14=9", "77+9=86" ]
Current State: 86:[39, 87, 14, 77], Operations: [] Exploring Operation: 39+87=126, Resulting Numbers: [14, 77, 126] Generated Node #2: [14, 77, 126] from Operation: 39+87=126 Current State: 86:[14, 77, 126], Operations: ['39+87=126'] Exploring Operation: 126/14=9, Resulting Numbers: [77, 9] Generated Node #3: [77, 9] from Operation: 126/14=9 Current State: 86:[77, 9], Operations: ['39+87=126', '126/14=9'] Exploring Operation: 77+9=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 17, 14, 43, 95 ]
55
[ "17-14=3", "95-43=52", "3+52=55" ]
Current State: 55:[17, 14, 43, 95], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [43, 95, 3] Generated Node #2: [43, 95, 3] from Operation: 17-14=3 Current State: 55:[43, 95, 3], Operations: ['17-14=3'] Exploring Operation: 95-43=52, Resulting Numbers: [3, 52] Generated Node #3: [3, 52] from Operation: 95-43=52 Current State: 55:[3, 52], Operations: ['17-14=3', '95-43=52'] Exploring Operation: 3+52=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 22, 37, 9, 62 ]
33
[ "37+62=99", "99/9=11", "22+11=33" ]
Current State: 33:[22, 37, 9, 62], Operations: [] Exploring Operation: 37+62=99, Resulting Numbers: [22, 9, 99] Generated Node #2: [22, 9, 99] from Operation: 37+62=99 Current State: 33:[22, 9, 99], Operations: ['37+62=99'] Exploring Operation: 99/9=11, Resulting Numbers: [22, 11] Generated Node #3: [22, 11] from Operation: 99/9=11 Current State: 33:[22, 11], Operations: ['37+62=99', '99/9=11'] Exploring Operation: 22+11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 25, 53, 35, 8 ]
35
[ "25+53=78", "35+8=43", "78-43=35" ]
Current State: 35:[25, 53, 35, 8], Operations: [] Exploring Operation: 25+53=78, Resulting Numbers: [35, 8, 78] Generated Node #2: [35, 8, 78] from Operation: 25+53=78 Current State: 35:[35, 8, 78], Operations: ['25+53=78'] Exploring Operation: 35+8=43, Resulting Numbers: [78, 43] Generated Node #3: [78, 43] from Operation: 35+8=43 Current State: 35:[78, 43], Operations: ['25+53=78', '35+8=43'] Exploring Operation: 78-43=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 44, 82, 21, 49 ]
56
[ "44+82=126", "21+49=70", "126-70=56" ]
Current State: 56:[44, 82, 21, 49], Operations: [] Exploring Operation: 44+82=126, Resulting Numbers: [21, 49, 126] Generated Node #2: [21, 49, 126] from Operation: 44+82=126 Current State: 56:[21, 49, 126], Operations: ['44+82=126'] Exploring Operation: 21+49=70, Resulting Numbers: [126, 70] Generated Node #3: [126, 70] from Operation: 21+49=70 Current State: 56:[126, 70], Operations: ['44+82=126', '21+49=70'] Exploring Operation: 126-70=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 56, 92, 93, 11 ]
67
[ "56+11=67", "93-92=1", "67*1=67" ]
Current State: 67:[56, 92, 93, 11], Operations: [] Exploring Operation: 56+11=67, Resulting Numbers: [92, 93, 67] Generated Node #2: [92, 93, 67] from Operation: 56+11=67 Current State: 67:[92, 93, 67], Operations: ['56+11=67'] Exploring Operation: 93-92=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 93-92=1 Current State: 67:[67, 1], Operations: ['56+11=67', '93-92=1'] Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 84, 37, 40, 39 ]
97
[ "40-37=3", "39/3=13", "84+13=97" ]
Current State: 97:[84, 37, 40, 39], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [84, 39, 3] Generated Node #2: [84, 39, 3] from Operation: 40-37=3 Current State: 97:[84, 39, 3], Operations: ['40-37=3'] Exploring Operation: 39/3=13, Resulting Numbers: [84, 13] Generated Node #3: [84, 13] from Operation: 39/3=13 Current State: 97:[84, 13], Operations: ['40-37=3', '39/3=13'] Exploring Operation: 84+13=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 58, 44, 4, 27 ]
79
[ "58+44=102", "27-4=23", "102-23=79" ]
Current State: 79:[58, 44, 4, 27], Operations: [] Exploring Operation: 58+44=102, Resulting Numbers: [4, 27, 102] Generated Node #2: [4, 27, 102] from Operation: 58+44=102 Current State: 79:[4, 27, 102], Operations: ['58+44=102'] Exploring Operation: 27-4=23, Resulting Numbers: [102, 23] Generated Node #3: [102, 23] from Operation: 27-4=23 Current State: 79:[102, 23], Operations: ['58+44=102', '27-4=23'] Exploring Operation: 102-23=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 59, 2, 31, 92 ]
91
[ "59+31=90", "92+90=182", "182/2=91" ]
Current State: 91:[59, 2, 31, 92], Operations: [] Exploring Operation: 59+31=90, Resulting Numbers: [2, 92, 90] Generated Node #2: [2, 92, 90] from Operation: 59+31=90 Current State: 91:[2, 92, 90], Operations: ['59+31=90'] Exploring Operation: 92+90=182, Resulting Numbers: [2, 182] Generated Node #3: [2, 182] from Operation: 92+90=182 Current State: 91:[2, 182], Operations: ['59+31=90', '92+90=182'] Exploring Operation: 182/2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 16, 72, 18, 78 ]
14
[ "16*72=1152", "1152/18=64", "78-64=14" ]
Current State: 14:[16, 72, 18, 78], Operations: [] Exploring Operation: 16*72=1152, Resulting Numbers: [18, 78, 1152] Generated Node #2: [18, 78, 1152] from Operation: 16*72=1152 Current State: 14:[18, 78, 1152], Operations: ['16*72=1152'] Exploring Operation: 1152/18=64, Resulting Numbers: [78, 64] Generated Node #3: [78, 64] from Operation: 1152/18=64 Current State: 14:[78, 64], Operations: ['16*72=1152', '1152/18=64'] Exploring Operation: 78-64=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 95, 94, 67, 29 ]
96
[ "95-94=1", "67+29=96", "1*96=96" ]
Current State: 96:[95, 94, 67, 29], Operations: [] Exploring Operation: 95-94=1, Resulting Numbers: [67, 29, 1] Generated Node #2: [67, 29, 1] from Operation: 95-94=1 Current State: 96:[67, 29, 1], Operations: ['95-94=1'] Exploring Operation: 67+29=96, Resulting Numbers: [1, 96] Generated Node #3: [1, 96] from Operation: 67+29=96 Current State: 96:[1, 96], Operations: ['95-94=1', '67+29=96'] Exploring Operation: 1*96=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 84, 64, 61, 65 ]
57
[ "84-65=19", "64-61=3", "19*3=57" ]
Current State: 57:[84, 64, 61, 65], Operations: [] Exploring Operation: 84-65=19, Resulting Numbers: [64, 61, 19] Generated Node #2: [64, 61, 19] from Operation: 84-65=19 Current State: 57:[64, 61, 19], Operations: ['84-65=19'] Exploring Operation: 64-61=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 64-61=3 Current State: 57:[19, 3], Operations: ['84-65=19', '64-61=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 10, 5, 96, 80 ]
31
[ "10+5=15", "96-80=16", "15+16=31" ]
Current State: 31:[10, 5, 96, 80], Operations: [] Exploring Operation: 10+5=15, Resulting Numbers: [96, 80, 15] Generated Node #2: [96, 80, 15] from Operation: 10+5=15 Current State: 31:[96, 80, 15], Operations: ['10+5=15'] Exploring Operation: 96-80=16, Resulting Numbers: [15, 16] Generated Node #3: [15, 16] from Operation: 96-80=16 Current State: 31:[15, 16], Operations: ['10+5=15', '96-80=16'] Exploring Operation: 15+16=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 30, 50, 48, 3 ]
63
[ "50-48=2", "30*2=60", "3+60=63" ]
Current State: 63:[30, 50, 48, 3], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [30, 3, 2] Generated Node #2: [30, 3, 2] from Operation: 50-48=2 Current State: 63:[30, 3, 2], Operations: ['50-48=2'] Exploring Operation: 30*2=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 30*2=60 Current State: 63:[3, 60], Operations: ['50-48=2', '30*2=60'] Exploring Operation: 3+60=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 23, 10, 40, 84 ]
11
[ "23+10=33", "84-40=44", "44-33=11" ]
Current State: 11:[23, 10, 40, 84], Operations: [] Exploring Operation: 23+10=33, Resulting Numbers: [40, 84, 33] Generated Node #2: [40, 84, 33] from Operation: 23+10=33 Current State: 11:[40, 84, 33], Operations: ['23+10=33'] Exploring Operation: 84-40=44, Resulting Numbers: [33, 44] Generated Node #3: [33, 44] from Operation: 84-40=44 Current State: 11:[33, 44], Operations: ['23+10=33', '84-40=44'] Exploring Operation: 44-33=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 30, 12, 27, 47 ]
32
[ "30+12=42", "27+47=74", "74-42=32" ]
Current State: 32:[30, 12, 27, 47], Operations: [] Exploring Operation: 30+12=42, Resulting Numbers: [27, 47, 42] Generated Node #2: [27, 47, 42] from Operation: 30+12=42 Current State: 32:[27, 47, 42], Operations: ['30+12=42'] Exploring Operation: 27+47=74, Resulting Numbers: [42, 74] Generated Node #3: [42, 74] from Operation: 27+47=74 Current State: 32:[42, 74], Operations: ['30+12=42', '27+47=74'] Exploring Operation: 74-42=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 12, 33, 14, 13 ]
59
[ "14-12=2", "13*2=26", "33+26=59" ]
Current State: 59:[12, 33, 14, 13], Operations: [] Exploring Operation: 14-12=2, Resulting Numbers: [33, 13, 2] Generated Node #2: [33, 13, 2] from Operation: 14-12=2 Current State: 59:[33, 13, 2], Operations: ['14-12=2'] Exploring Operation: 13*2=26, Resulting Numbers: [33, 26] Generated Node #3: [33, 26] from Operation: 13*2=26 Current State: 59:[33, 26], Operations: ['14-12=2', '13*2=26'] Exploring Operation: 33+26=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 60, 68, 7, 34 ]
51
[ "60-7=53", "68/34=2", "53-2=51" ]
Current State: 51:[60, 68, 7, 34], Operations: [] Exploring Operation: 60-7=53, Resulting Numbers: [68, 34, 53] Generated Node #2: [68, 34, 53] from Operation: 60-7=53 Current State: 51:[68, 34, 53], Operations: ['60-7=53'] Exploring Operation: 68/34=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 68/34=2 Current State: 51:[53, 2], Operations: ['60-7=53', '68/34=2'] Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4