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
[ 92, 39, 55, 2 ]
38
[ "92+39=131", "131-55=76", "76/2=38" ]
Current State: 38:[92, 39, 55, 2], Operations: [] Exploring Operation: 92+39=131, Resulting Numbers: [55, 2, 131] Generated Node #2: [55, 2, 131] from Operation: 92+39=131 Current State: 38:[55, 2, 131], Operations: ['92+39=131'] Exploring Operation: 131-55=76, Resulting Numbers: [2, 76] Generated Node #3: [2, 76] from Operation: 131-55=76 Current State: 38:[2, 76], Operations: ['92+39=131', '131-55=76'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 90, 6, 54, 63 ]
98
[ "90-6=84", "63*84=5292", "5292/54=98" ]
Current State: 98:[90, 6, 54, 63], Operations: [] Exploring Operation: 90-6=84, Resulting Numbers: [54, 63, 84] Generated Node #2: [54, 63, 84] from Operation: 90-6=84 Current State: 98:[54, 63, 84], Operations: ['90-6=84'] Exploring Operation: 63*84=5292, Resulting Numbers: [54, 5292] Generated Node #3: [54, 5292] from Operation: 63*84=5292 Current State: 98:[54, 5292], Operations: ['90-6=84', '63*84=5292'] Exploring Operation: 5292/54=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 2, 76, 30, 50 ]
21
[ "50/2=25", "76-30=46", "46-25=21" ]
Current State: 21:[2, 76, 30, 50], Operations: [] Exploring Operation: 50/2=25, Resulting Numbers: [76, 30, 25] Generated Node #2: [76, 30, 25] from Operation: 50/2=25 Current State: 21:[76, 30, 25], Operations: ['50/2=25'] Exploring Operation: 76-30=46, Resulting Numbers: [25, 46] Generated Node #3: [25, 46] from Operation: 76-30=46 Current State: 21:[25, 46], Operations: ['50/2=25', '76-30=46'] Exploring Operation: 46-25=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 62, 40, 44, 90 ]
88
[ "62-40=22", "44/22=2", "90-2=88" ]
Current State: 88:[62, 40, 44, 90], Operations: [] Exploring Operation: 62-40=22, Resulting Numbers: [44, 90, 22] Generated Node #2: [44, 90, 22] from Operation: 62-40=22 Current State: 88:[44, 90, 22], Operations: ['62-40=22'] Exploring Operation: 44/22=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 44/22=2 Current State: 88:[90, 2], Operations: ['62-40=22', '44/22=2'] Exploring Operation: 90-2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 37, 15, 41, 96 ]
38
[ "15+96=111", "111/37=3", "41-3=38" ]
Current State: 38:[37, 15, 41, 96], Operations: [] Exploring Operation: 15+96=111, Resulting Numbers: [37, 41, 111] Generated Node #2: [37, 41, 111] from Operation: 15+96=111 Current State: 38:[37, 41, 111], Operations: ['15+96=111'] Exploring Operation: 111/37=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 111/37=3 Current State: 38:[41, 3], Operations: ['15+96=111', '111/37=3'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 9, 49, 18, 15 ]
79
[ "18/9=2", "15*2=30", "49+30=79" ]
Current State: 79:[9, 49, 18, 15], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [49, 15, 2] Generated Node #2: [49, 15, 2] from Operation: 18/9=2 Current State: 79:[49, 15, 2], Operations: ['18/9=2'] Exploring Operation: 15*2=30, Resulting Numbers: [49, 30] Generated Node #3: [49, 30] from Operation: 15*2=30 Current State: 79:[49, 30], Operations: ['18/9=2', '15*2=30'] Exploring Operation: 49+30=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 27, 47, 82, 41 ]
40
[ "47-27=20", "82/41=2", "20*2=40" ]
Current State: 40:[27, 47, 82, 41], Operations: [] Exploring Operation: 47-27=20, Resulting Numbers: [82, 41, 20] Generated Node #2: [82, 41, 20] from Operation: 47-27=20 Current State: 40:[82, 41, 20], Operations: ['47-27=20'] Exploring Operation: 82/41=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 82/41=2 Current State: 40:[20, 2], Operations: ['47-27=20', '82/41=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 73, 97, 47, 95 ]
13
[ "73-47=26", "97-95=2", "26/2=13" ]
Current State: 13:[73, 97, 47, 95], Operations: [] Exploring Operation: 73-47=26, Resulting Numbers: [97, 95, 26] Generated Node #2: [97, 95, 26] from Operation: 73-47=26 Current State: 13:[97, 95, 26], Operations: ['73-47=26'] Exploring Operation: 97-95=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 97-95=2 Current State: 13:[26, 2], Operations: ['73-47=26', '97-95=2'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 63, 77, 20, 18 ]
70
[ "63+77=140", "20-18=2", "140/2=70" ]
Current State: 70:[63, 77, 20, 18], Operations: [] Exploring Operation: 63+77=140, Resulting Numbers: [20, 18, 140] Generated Node #2: [20, 18, 140] from Operation: 63+77=140 Current State: 70:[20, 18, 140], Operations: ['63+77=140'] Exploring Operation: 20-18=2, Resulting Numbers: [140, 2] Generated Node #3: [140, 2] from Operation: 20-18=2 Current State: 70:[140, 2], Operations: ['63+77=140', '20-18=2'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 45, 77, 87, 80 ]
25
[ "77-45=32", "87-80=7", "32-7=25" ]
Current State: 25:[45, 77, 87, 80], Operations: [] Exploring Operation: 77-45=32, Resulting Numbers: [87, 80, 32] Generated Node #2: [87, 80, 32] from Operation: 77-45=32 Current State: 25:[87, 80, 32], Operations: ['77-45=32'] Exploring Operation: 87-80=7, Resulting Numbers: [32, 7] Generated Node #3: [32, 7] from Operation: 87-80=7 Current State: 25:[32, 7], Operations: ['77-45=32', '87-80=7'] Exploring Operation: 32-7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 31, 59, 1, 7 ]
83
[ "31+59=90", "1*7=7", "90-7=83" ]
Current State: 83:[31, 59, 1, 7], Operations: [] Exploring Operation: 31+59=90, Resulting Numbers: [1, 7, 90] Generated Node #2: [1, 7, 90] from Operation: 31+59=90 Current State: 83:[1, 7, 90], Operations: ['31+59=90'] Exploring Operation: 1*7=7, Resulting Numbers: [90, 7] Generated Node #3: [90, 7] from Operation: 1*7=7 Current State: 83:[90, 7], Operations: ['31+59=90', '1*7=7'] Exploring Operation: 90-7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 95, 83, 87, 96 ]
71
[ "95-87=8", "96/8=12", "83-12=71" ]
Current State: 71:[95, 83, 87, 96], Operations: [] Exploring Operation: 95-87=8, Resulting Numbers: [83, 96, 8] Generated Node #2: [83, 96, 8] from Operation: 95-87=8 Current State: 71:[83, 96, 8], Operations: ['95-87=8'] Exploring Operation: 96/8=12, Resulting Numbers: [83, 12] Generated Node #3: [83, 12] from Operation: 96/8=12 Current State: 71:[83, 12], Operations: ['95-87=8', '96/8=12'] Exploring Operation: 83-12=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 30, 48, 57, 42 ]
60
[ "48+42=90", "90/30=3", "57+3=60" ]
Current State: 60:[30, 48, 57, 42], Operations: [] Exploring Operation: 48+42=90, Resulting Numbers: [30, 57, 90] Generated Node #2: [30, 57, 90] from Operation: 48+42=90 Current State: 60:[30, 57, 90], Operations: ['48+42=90'] Exploring Operation: 90/30=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 90/30=3 Current State: 60:[57, 3], Operations: ['48+42=90', '90/30=3'] Exploring Operation: 57+3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 82, 3, 15, 92 ]
55
[ "92-82=10", "3*15=45", "10+45=55" ]
Current State: 55:[82, 3, 15, 92], Operations: [] Exploring Operation: 92-82=10, Resulting Numbers: [3, 15, 10] Generated Node #2: [3, 15, 10] from Operation: 92-82=10 Current State: 55:[3, 15, 10], Operations: ['92-82=10'] Exploring Operation: 3*15=45, Resulting Numbers: [10, 45] Generated Node #3: [10, 45] from Operation: 3*15=45 Current State: 55:[10, 45], Operations: ['92-82=10', '3*15=45'] Exploring Operation: 10+45=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 98, 23, 15, 11 ]
71
[ "98-23=75", "15-11=4", "75-4=71" ]
Current State: 71:[98, 23, 15, 11], Operations: [] Exploring Operation: 98-23=75, Resulting Numbers: [15, 11, 75] Generated Node #2: [15, 11, 75] from Operation: 98-23=75 Current State: 71:[15, 11, 75], Operations: ['98-23=75'] Exploring Operation: 15-11=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 15-11=4 Current State: 71:[75, 4], Operations: ['98-23=75', '15-11=4'] Exploring Operation: 75-4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 53, 72, 58, 27 ]
66
[ "72-53=19", "58+27=85", "85-19=66" ]
Current State: 66:[53, 72, 58, 27], Operations: [] Exploring Operation: 72-53=19, Resulting Numbers: [58, 27, 19] Generated Node #2: [58, 27, 19] from Operation: 72-53=19 Current State: 66:[58, 27, 19], Operations: ['72-53=19'] Exploring Operation: 58+27=85, Resulting Numbers: [19, 85] Generated Node #3: [19, 85] from Operation: 58+27=85 Current State: 66:[19, 85], Operations: ['72-53=19', '58+27=85'] Exploring Operation: 85-19=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 36, 66, 58, 6 ]
82
[ "66-36=30", "58-6=52", "30+52=82" ]
Current State: 82:[36, 66, 58, 6], Operations: [] Exploring Operation: 66-36=30, Resulting Numbers: [58, 6, 30] Generated Node #2: [58, 6, 30] from Operation: 66-36=30 Current State: 82:[58, 6, 30], Operations: ['66-36=30'] Exploring Operation: 58-6=52, Resulting Numbers: [30, 52] Generated Node #3: [30, 52] from Operation: 58-6=52 Current State: 82:[30, 52], Operations: ['66-36=30', '58-6=52'] Exploring Operation: 30+52=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 24, 36, 4, 21 ]
21
[ "24/4=6", "36-21=15", "6+15=21" ]
Current State: 21:[24, 36, 4, 21], Operations: [] Exploring Operation: 24/4=6, Resulting Numbers: [36, 21, 6] Generated Node #2: [36, 21, 6] from Operation: 24/4=6 Current State: 21:[36, 21, 6], Operations: ['24/4=6'] Exploring Operation: 36-21=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 36-21=15 Current State: 21:[6, 15], Operations: ['24/4=6', '36-21=15'] Exploring Operation: 6+15=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 59, 3, 35, 52 ]
90
[ "59*3=177", "35+52=87", "177-87=90" ]
Current State: 90:[59, 3, 35, 52], Operations: [] Exploring Operation: 59*3=177, Resulting Numbers: [35, 52, 177] Generated Node #2: [35, 52, 177] from Operation: 59*3=177 Current State: 90:[35, 52, 177], Operations: ['59*3=177'] Exploring Operation: 35+52=87, Resulting Numbers: [177, 87] Generated Node #3: [177, 87] from Operation: 35+52=87 Current State: 90:[177, 87], Operations: ['59*3=177', '35+52=87'] Exploring Operation: 177-87=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 89, 69, 43, 84 ]
31
[ "89+69=158", "43+84=127", "158-127=31" ]
Current State: 31:[89, 69, 43, 84], Operations: [] Exploring Operation: 89+69=158, Resulting Numbers: [43, 84, 158] Generated Node #2: [43, 84, 158] from Operation: 89+69=158 Current State: 31:[43, 84, 158], Operations: ['89+69=158'] Exploring Operation: 43+84=127, Resulting Numbers: [158, 127] Generated Node #3: [158, 127] from Operation: 43+84=127 Current State: 31:[158, 127], Operations: ['89+69=158', '43+84=127'] Exploring Operation: 158-127=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 71, 14, 57, 38 ]
66
[ "71+14=85", "57-38=19", "85-19=66" ]
Current State: 66:[71, 14, 57, 38], Operations: [] Exploring Operation: 71+14=85, Resulting Numbers: [57, 38, 85] Generated Node #2: [57, 38, 85] from Operation: 71+14=85 Current State: 66:[57, 38, 85], Operations: ['71+14=85'] Exploring Operation: 57-38=19, Resulting Numbers: [85, 19] Generated Node #3: [85, 19] from Operation: 57-38=19 Current State: 66:[85, 19], Operations: ['71+14=85', '57-38=19'] Exploring Operation: 85-19=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 6, 83, 48, 8 ]
99
[ "48/6=8", "83+8=91", "8+91=99" ]
Current State: 99:[6, 83, 48, 8], Operations: [] Exploring Operation: 48/6=8, Resulting Numbers: [83, 8, 8] Generated Node #2: [83, 8, 8] from Operation: 48/6=8 Current State: 99:[83, 8, 8], Operations: ['48/6=8'] Exploring Operation: 83+8=91, Resulting Numbers: [91] 91,99 equal: Goal Reached Exploring Operation: 8+91=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 63, 53, 94, 4 ]
54
[ "63-53=10", "4*10=40", "94-40=54" ]
Current State: 54:[63, 53, 94, 4], Operations: [] Exploring Operation: 63-53=10, Resulting Numbers: [94, 4, 10] Generated Node #2: [94, 4, 10] from Operation: 63-53=10 Current State: 54:[94, 4, 10], Operations: ['63-53=10'] Exploring Operation: 4*10=40, Resulting Numbers: [94, 40] Generated Node #3: [94, 40] from Operation: 4*10=40 Current State: 54:[94, 40], Operations: ['63-53=10', '4*10=40'] Exploring Operation: 94-40=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 53, 23, 4, 22 ]
94
[ "53+23=76", "22-4=18", "76+18=94" ]
Current State: 94:[53, 23, 4, 22], Operations: [] Exploring Operation: 53+23=76, Resulting Numbers: [4, 22, 76] Generated Node #2: [4, 22, 76] from Operation: 53+23=76 Current State: 94:[4, 22, 76], Operations: ['53+23=76'] Exploring Operation: 22-4=18, Resulting Numbers: [76, 18] Generated Node #3: [76, 18] from Operation: 22-4=18 Current State: 94:[76, 18], Operations: ['53+23=76', '22-4=18'] Exploring Operation: 76+18=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 79, 20, 64, 21 ]
16
[ "79-20=59", "64-21=43", "59-43=16" ]
Current State: 16:[79, 20, 64, 21], Operations: [] Exploring Operation: 79-20=59, Resulting Numbers: [64, 21, 59] Generated Node #2: [64, 21, 59] from Operation: 79-20=59 Current State: 16:[64, 21, 59], Operations: ['79-20=59'] Exploring Operation: 64-21=43, Resulting Numbers: [59, 43] Generated Node #3: [59, 43] from Operation: 64-21=43 Current State: 16:[59, 43], Operations: ['79-20=59', '64-21=43'] Exploring Operation: 59-43=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 72, 51, 6, 32 ]
59
[ "72-51=21", "6+32=38", "21+38=59" ]
Current State: 59:[72, 51, 6, 32], Operations: [] Exploring Operation: 72-51=21, Resulting Numbers: [6, 32, 21] Generated Node #2: [6, 32, 21] from Operation: 72-51=21 Current State: 59:[6, 32, 21], Operations: ['72-51=21'] Exploring Operation: 6+32=38, Resulting Numbers: [21, 38] Generated Node #3: [21, 38] from Operation: 6+32=38 Current State: 59:[21, 38], Operations: ['72-51=21', '6+32=38'] Exploring Operation: 21+38=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 23, 32, 52, 2 ]
86
[ "32-23=9", "52-9=43", "2*43=86" ]
Current State: 86:[23, 32, 52, 2], Operations: [] Exploring Operation: 32-23=9, Resulting Numbers: [52, 2, 9] Generated Node #2: [52, 2, 9] from Operation: 32-23=9 Current State: 86:[52, 2, 9], Operations: ['32-23=9'] Exploring Operation: 52-9=43, Resulting Numbers: [2, 43] Generated Node #3: [2, 43] from Operation: 52-9=43 Current State: 86:[2, 43], Operations: ['32-23=9', '52-9=43'] Exploring Operation: 2*43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 13, 59, 68, 4 ]
16
[ "13+59=72", "72-68=4", "4*4=16" ]
Current State: 16:[13, 59, 68, 4], Operations: [] Exploring Operation: 13+59=72, Resulting Numbers: [68, 4, 72] Generated Node #2: [68, 4, 72] from Operation: 13+59=72 Current State: 16:[68, 4, 72], Operations: ['13+59=72'] Exploring Operation: 72-68=4, Resulting Numbers: [4, 4] Generated Node #3: [4, 4] from Operation: 72-68=4 Current State: 16:[4, 4], Operations: ['13+59=72', '72-68=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 42, 46, 46, 96 ]
49
[ "42+96=138", "138/46=3", "46+3=49" ]
Current State: 49:[42, 46, 46, 96], Operations: [] Exploring Operation: 42+96=138, Resulting Numbers: [46, 46, 138] Generated Node #2: [46, 46, 138] from Operation: 42+96=138 Current State: 49:[46, 46, 138], Operations: ['42+96=138'] Exploring Operation: 138/46=3, Resulting Numbers: [3] 3,49 equal: Goal Reached Exploring Operation: 46+3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 50, 22, 86, 6 ]
20
[ "50+22=72", "86+6=92", "92-72=20" ]
Current State: 20:[50, 22, 86, 6], Operations: [] Exploring Operation: 50+22=72, Resulting Numbers: [86, 6, 72] Generated Node #2: [86, 6, 72] from Operation: 50+22=72 Current State: 20:[86, 6, 72], Operations: ['50+22=72'] Exploring Operation: 86+6=92, Resulting Numbers: [72, 92] Generated Node #3: [72, 92] from Operation: 86+6=92 Current State: 20:[72, 92], Operations: ['50+22=72', '86+6=92'] Exploring Operation: 92-72=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 82, 16, 36, 6 ]
47
[ "82-16=66", "66/6=11", "36+11=47" ]
Current State: 47:[82, 16, 36, 6], Operations: [] Exploring Operation: 82-16=66, Resulting Numbers: [36, 6, 66] Generated Node #2: [36, 6, 66] from Operation: 82-16=66 Current State: 47:[36, 6, 66], Operations: ['82-16=66'] Exploring Operation: 66/6=11, Resulting Numbers: [36, 11] Generated Node #3: [36, 11] from Operation: 66/6=11 Current State: 47:[36, 11], Operations: ['82-16=66', '66/6=11'] Exploring Operation: 36+11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 51, 2, 15, 1 ]
12
[ "51-15=36", "2+1=3", "36/3=12" ]
Current State: 12:[51, 2, 15, 1], Operations: [] Exploring Operation: 51-15=36, Resulting Numbers: [2, 1, 36] Generated Node #2: [2, 1, 36] from Operation: 51-15=36 Current State: 12:[2, 1, 36], Operations: ['51-15=36'] Exploring Operation: 2+1=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 2+1=3 Current State: 12:[36, 3], Operations: ['51-15=36', '2+1=3'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 21, 5, 35, 60 ]
74
[ "21+60=81", "35/5=7", "81-7=74" ]
Current State: 74:[21, 5, 35, 60], Operations: [] Exploring Operation: 21+60=81, Resulting Numbers: [5, 35, 81] Generated Node #2: [5, 35, 81] from Operation: 21+60=81 Current State: 74:[5, 35, 81], Operations: ['21+60=81'] Exploring Operation: 35/5=7, Resulting Numbers: [81, 7] Generated Node #3: [81, 7] from Operation: 35/5=7 Current State: 74:[81, 7], Operations: ['21+60=81', '35/5=7'] Exploring Operation: 81-7=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 10, 73, 49, 52 ]
38
[ "73-10=63", "49+52=101", "101-63=38" ]
Current State: 38:[10, 73, 49, 52], Operations: [] Exploring Operation: 73-10=63, Resulting Numbers: [49, 52, 63] Generated Node #2: [49, 52, 63] from Operation: 73-10=63 Current State: 38:[49, 52, 63], Operations: ['73-10=63'] Exploring Operation: 49+52=101, Resulting Numbers: [63, 101] Generated Node #3: [63, 101] from Operation: 49+52=101 Current State: 38:[63, 101], Operations: ['73-10=63', '49+52=101'] Exploring Operation: 101-63=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 32, 54, 93, 75 ]
35
[ "93-75=18", "54/18=3", "32+3=35" ]
Current State: 35:[32, 54, 93, 75], Operations: [] Exploring Operation: 93-75=18, Resulting Numbers: [32, 54, 18] Generated Node #2: [32, 54, 18] from Operation: 93-75=18 Current State: 35:[32, 54, 18], Operations: ['93-75=18'] Exploring Operation: 54/18=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 54/18=3 Current State: 35:[32, 3], Operations: ['93-75=18', '54/18=3'] Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 47, 60, 61, 2 ]
53
[ "61-47=14", "14/2=7", "60-7=53" ]
Current State: 53:[47, 60, 61, 2], Operations: [] Exploring Operation: 61-47=14, Resulting Numbers: [60, 2, 14] Generated Node #2: [60, 2, 14] from Operation: 61-47=14 Current State: 53:[60, 2, 14], Operations: ['61-47=14'] Exploring Operation: 14/2=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 14/2=7 Current State: 53:[60, 7], Operations: ['61-47=14', '14/2=7'] Exploring Operation: 60-7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 84, 58, 21, 3 ]
51
[ "84/21=4", "58-3=55", "55-4=51" ]
Current State: 51:[84, 58, 21, 3], Operations: [] Exploring Operation: 84/21=4, Resulting Numbers: [58, 3, 4] Generated Node #2: [58, 3, 4] from Operation: 84/21=4 Current State: 51:[58, 3, 4], Operations: ['84/21=4'] Exploring Operation: 58-3=55, Resulting Numbers: [4, 55] Generated Node #3: [4, 55] from Operation: 58-3=55 Current State: 51:[4, 55], Operations: ['84/21=4', '58-3=55'] Exploring Operation: 55-4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 52, 79, 30, 73 ]
28
[ "52+79=131", "30+73=103", "131-103=28" ]
Current State: 28:[52, 79, 30, 73], Operations: [] Exploring Operation: 52+79=131, Resulting Numbers: [30, 73, 131] Generated Node #2: [30, 73, 131] from Operation: 52+79=131 Current State: 28:[30, 73, 131], Operations: ['52+79=131'] Exploring Operation: 30+73=103, Resulting Numbers: [131, 103] Generated Node #3: [131, 103] from Operation: 30+73=103 Current State: 28:[131, 103], Operations: ['52+79=131', '30+73=103'] Exploring Operation: 131-103=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 16, 33, 3, 96 ]
69
[ "96-16=80", "33/3=11", "80-11=69" ]
Current State: 69:[16, 33, 3, 96], Operations: [] Exploring Operation: 96-16=80, Resulting Numbers: [33, 3, 80] Generated Node #2: [33, 3, 80] from Operation: 96-16=80 Current State: 69:[33, 3, 80], Operations: ['96-16=80'] Exploring Operation: 33/3=11, Resulting Numbers: [80, 11] Generated Node #3: [80, 11] from Operation: 33/3=11 Current State: 69:[80, 11], Operations: ['96-16=80', '33/3=11'] Exploring Operation: 80-11=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 6, 27, 81, 35 ]
33
[ "6*27=162", "162/81=2", "35-2=33" ]
Current State: 33:[6, 27, 81, 35], Operations: [] Exploring Operation: 6*27=162, Resulting Numbers: [81, 35, 162] Generated Node #2: [81, 35, 162] from Operation: 6*27=162 Current State: 33:[81, 35, 162], Operations: ['6*27=162'] Exploring Operation: 162/81=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 162/81=2 Current State: 33:[35, 2], Operations: ['6*27=162', '162/81=2'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 28, 76, 21, 36 ]
93
[ "76*21=1596", "1596/28=57", "36+57=93" ]
Current State: 93:[28, 76, 21, 36], Operations: [] Exploring Operation: 76*21=1596, Resulting Numbers: [28, 36, 1596] Generated Node #2: [28, 36, 1596] from Operation: 76*21=1596 Current State: 93:[28, 36, 1596], Operations: ['76*21=1596'] Exploring Operation: 1596/28=57, Resulting Numbers: [36, 57] Generated Node #3: [36, 57] from Operation: 1596/28=57 Current State: 93:[36, 57], Operations: ['76*21=1596', '1596/28=57'] Exploring Operation: 36+57=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 67, 81, 42, 23 ]
69
[ "81-67=14", "42*23=966", "966/14=69" ]
Current State: 69:[67, 81, 42, 23], Operations: [] Exploring Operation: 81-67=14, Resulting Numbers: [42, 23, 14] Generated Node #2: [42, 23, 14] from Operation: 81-67=14 Current State: 69:[42, 23, 14], Operations: ['81-67=14'] Exploring Operation: 42*23=966, Resulting Numbers: [14, 966] Generated Node #3: [14, 966] from Operation: 42*23=966 Current State: 69:[14, 966], Operations: ['81-67=14', '42*23=966'] Exploring Operation: 966/14=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 19, 11, 45, 68 ]
21
[ "45-11=34", "68/34=2", "19+2=21" ]
Current State: 21:[19, 11, 45, 68], Operations: [] Exploring Operation: 45-11=34, Resulting Numbers: [19, 68, 34] Generated Node #2: [19, 68, 34] from Operation: 45-11=34 Current State: 21:[19, 68, 34], Operations: ['45-11=34'] Exploring Operation: 68/34=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 68/34=2 Current State: 21:[19, 2], Operations: ['45-11=34', '68/34=2'] Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 36, 62, 53, 32 ]
77
[ "36+62=98", "53-32=21", "98-21=77" ]
Current State: 77:[36, 62, 53, 32], Operations: [] Exploring Operation: 36+62=98, Resulting Numbers: [53, 32, 98] Generated Node #2: [53, 32, 98] from Operation: 36+62=98 Current State: 77:[53, 32, 98], Operations: ['36+62=98'] Exploring Operation: 53-32=21, Resulting Numbers: [98, 21] Generated Node #3: [98, 21] from Operation: 53-32=21 Current State: 77:[98, 21], Operations: ['36+62=98', '53-32=21'] Exploring Operation: 98-21=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 43, 29, 74, 33 ]
58
[ "74-43=31", "33-31=2", "29*2=58" ]
Current State: 58:[43, 29, 74, 33], Operations: [] Exploring Operation: 74-43=31, Resulting Numbers: [29, 33, 31] Generated Node #2: [29, 33, 31] from Operation: 74-43=31 Current State: 58:[29, 33, 31], Operations: ['74-43=31'] Exploring Operation: 33-31=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 33-31=2 Current State: 58:[29, 2], Operations: ['74-43=31', '33-31=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 39, 1, 21, 41 ]
20
[ "39+1=40", "41-21=20", "40-20=20" ]
Current State: 20:[39, 1, 21, 41], Operations: [] Exploring Operation: 39+1=40, Resulting Numbers: [21, 41, 40] Generated Node #2: [21, 41, 40] from Operation: 39+1=40 Current State: 20:[21, 41, 40], Operations: ['39+1=40'] Exploring Operation: 41-21=20, Resulting Numbers: [40, 20] Generated Node #3: [40, 20] from Operation: 41-21=20 Current State: 20:[40, 20], Operations: ['39+1=40', '41-21=20'] Exploring Operation: 40-20=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 35, 63, 30, 4 ]
97
[ "63-30=33", "4*33=132", "132-35=97" ]
Current State: 97:[35, 63, 30, 4], Operations: [] Exploring Operation: 63-30=33, Resulting Numbers: [35, 4, 33] Generated Node #2: [35, 4, 33] from Operation: 63-30=33 Current State: 97:[35, 4, 33], Operations: ['63-30=33'] Exploring Operation: 4*33=132, Resulting Numbers: [35, 132] Generated Node #3: [35, 132] from Operation: 4*33=132 Current State: 97:[35, 132], Operations: ['63-30=33', '4*33=132'] Exploring Operation: 132-35=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 95, 22, 14, 93 ]
50
[ "95-93=2", "14*2=28", "22+28=50" ]
Current State: 50:[95, 22, 14, 93], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [22, 14, 2] Generated Node #2: [22, 14, 2] from Operation: 95-93=2 Current State: 50:[22, 14, 2], Operations: ['95-93=2'] Exploring Operation: 14*2=28, Resulting Numbers: [22, 28] Generated Node #3: [22, 28] from Operation: 14*2=28 Current State: 50:[22, 28], Operations: ['95-93=2', '14*2=28'] Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 25, 33, 8, 67 ]
30
[ "8+67=75", "75/25=3", "33-3=30" ]
Current State: 30:[25, 33, 8, 67], Operations: [] Exploring Operation: 8+67=75, Resulting Numbers: [25, 33, 75] Generated Node #2: [25, 33, 75] from Operation: 8+67=75 Current State: 30:[25, 33, 75], Operations: ['8+67=75'] Exploring Operation: 75/25=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 75/25=3 Current State: 30:[33, 3], Operations: ['8+67=75', '75/25=3'] Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 21, 85, 13, 20 ]
18
[ "85+20=105", "105/21=5", "13+5=18" ]
Current State: 18:[21, 85, 13, 20], Operations: [] Exploring Operation: 85+20=105, Resulting Numbers: [21, 13, 105] Generated Node #2: [21, 13, 105] from Operation: 85+20=105 Current State: 18:[21, 13, 105], Operations: ['85+20=105'] Exploring Operation: 105/21=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 105/21=5 Current State: 18:[13, 5], Operations: ['85+20=105', '105/21=5'] Exploring Operation: 13+5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 62, 77, 13, 70 ]
98
[ "77-62=15", "13+70=83", "15+83=98" ]
Current State: 98:[62, 77, 13, 70], Operations: [] Exploring Operation: 77-62=15, Resulting Numbers: [13, 70, 15] Generated Node #2: [13, 70, 15] from Operation: 77-62=15 Current State: 98:[13, 70, 15], Operations: ['77-62=15'] Exploring Operation: 13+70=83, Resulting Numbers: [15, 83] Generated Node #3: [15, 83] from Operation: 13+70=83 Current State: 98:[15, 83], Operations: ['77-62=15', '13+70=83'] Exploring Operation: 15+83=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 63, 88, 21, 74 ]
13
[ "74-63=11", "88/11=8", "21-8=13" ]
Current State: 13:[63, 88, 21, 74], Operations: [] Exploring Operation: 74-63=11, Resulting Numbers: [88, 21, 11] Generated Node #2: [88, 21, 11] from Operation: 74-63=11 Current State: 13:[88, 21, 11], Operations: ['74-63=11'] Exploring Operation: 88/11=8, Resulting Numbers: [21, 8] Generated Node #3: [21, 8] from Operation: 88/11=8 Current State: 13:[21, 8], Operations: ['74-63=11', '88/11=8'] Exploring Operation: 21-8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 66, 10, 46, 32 ]
16
[ "66-46=20", "10*32=320", "320/20=16" ]
Current State: 16:[66, 10, 46, 32], Operations: [] Exploring Operation: 66-46=20, Resulting Numbers: [10, 32, 20] Generated Node #2: [10, 32, 20] from Operation: 66-46=20 Current State: 16:[10, 32, 20], Operations: ['66-46=20'] Exploring Operation: 10*32=320, Resulting Numbers: [20, 320] Generated Node #3: [20, 320] from Operation: 10*32=320 Current State: 16:[20, 320], Operations: ['66-46=20', '10*32=320'] Exploring Operation: 320/20=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 16, 94, 88, 11 ]
86
[ "94-16=78", "88/11=8", "78+8=86" ]
Current State: 86:[16, 94, 88, 11], Operations: [] Exploring Operation: 94-16=78, Resulting Numbers: [88, 11, 78] Generated Node #2: [88, 11, 78] from Operation: 94-16=78 Current State: 86:[88, 11, 78], Operations: ['94-16=78'] Exploring Operation: 88/11=8, Resulting Numbers: [78, 8] Generated Node #3: [78, 8] from Operation: 88/11=8 Current State: 86:[78, 8], Operations: ['94-16=78', '88/11=8'] Exploring Operation: 78+8=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 47, 33, 57, 44 ]
30
[ "47-44=3", "33+57=90", "90/3=30" ]
Current State: 30:[47, 33, 57, 44], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [33, 57, 3] Generated Node #2: [33, 57, 3] from Operation: 47-44=3 Current State: 30:[33, 57, 3], Operations: ['47-44=3'] Exploring Operation: 33+57=90, Resulting Numbers: [3, 90] Generated Node #3: [3, 90] from Operation: 33+57=90 Current State: 30:[3, 90], Operations: ['47-44=3', '33+57=90'] Exploring Operation: 90/3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 64, 45, 49, 98 ]
82
[ "49-45=4", "64/4=16", "98-16=82" ]
Current State: 82:[64, 45, 49, 98], Operations: [] Exploring Operation: 49-45=4, Resulting Numbers: [64, 98, 4] Generated Node #2: [64, 98, 4] from Operation: 49-45=4 Current State: 82:[64, 98, 4], Operations: ['49-45=4'] Exploring Operation: 64/4=16, Resulting Numbers: [98, 16] Generated Node #3: [98, 16] from Operation: 64/4=16 Current State: 82:[98, 16], Operations: ['49-45=4', '64/4=16'] Exploring Operation: 98-16=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 9, 16, 4, 68 ]
57
[ "16-9=7", "68-4=64", "64-7=57" ]
Current State: 57:[9, 16, 4, 68], Operations: [] Exploring Operation: 16-9=7, Resulting Numbers: [4, 68, 7] Generated Node #2: [4, 68, 7] from Operation: 16-9=7 Current State: 57:[4, 68, 7], Operations: ['16-9=7'] Exploring Operation: 68-4=64, Resulting Numbers: [7, 64] Generated Node #3: [7, 64] from Operation: 68-4=64 Current State: 57:[7, 64], Operations: ['16-9=7', '68-4=64'] Exploring Operation: 64-7=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 5, 73, 8, 97 ]
72
[ "8-5=3", "97-73=24", "3*24=72" ]
Current State: 72:[5, 73, 8, 97], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [73, 97, 3] Generated Node #2: [73, 97, 3] from Operation: 8-5=3 Current State: 72:[73, 97, 3], Operations: ['8-5=3'] Exploring Operation: 97-73=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 97-73=24 Current State: 72:[3, 24], Operations: ['8-5=3', '97-73=24'] Exploring Operation: 3*24=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 52, 47, 94, 4 ]
74
[ "52-47=5", "4*5=20", "94-20=74" ]
Current State: 74:[52, 47, 94, 4], Operations: [] Exploring Operation: 52-47=5, Resulting Numbers: [94, 4, 5] Generated Node #2: [94, 4, 5] from Operation: 52-47=5 Current State: 74:[94, 4, 5], Operations: ['52-47=5'] Exploring Operation: 4*5=20, Resulting Numbers: [94, 20] Generated Node #3: [94, 20] from Operation: 4*5=20 Current State: 74:[94, 20], Operations: ['52-47=5', '4*5=20'] Exploring Operation: 94-20=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 46, 20, 38, 48 ]
35
[ "46+38=84", "20*84=1680", "1680/48=35" ]
Current State: 35:[46, 20, 38, 48], Operations: [] Exploring Operation: 46+38=84, Resulting Numbers: [20, 48, 84] Generated Node #2: [20, 48, 84] from Operation: 46+38=84 Current State: 35:[20, 48, 84], Operations: ['46+38=84'] Exploring Operation: 20*84=1680, Resulting Numbers: [48, 1680] Generated Node #3: [48, 1680] from Operation: 20*84=1680 Current State: 35:[48, 1680], Operations: ['46+38=84', '20*84=1680'] Exploring Operation: 1680/48=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 14, 5, 89, 98 ]
92
[ "89-5=84", "84/14=6", "98-6=92" ]
Current State: 92:[14, 5, 89, 98], Operations: [] Exploring Operation: 89-5=84, Resulting Numbers: [14, 98, 84] Generated Node #2: [14, 98, 84] from Operation: 89-5=84 Current State: 92:[14, 98, 84], Operations: ['89-5=84'] Exploring Operation: 84/14=6, Resulting Numbers: [98, 6] Generated Node #3: [98, 6] from Operation: 84/14=6 Current State: 92:[98, 6], Operations: ['89-5=84', '84/14=6'] Exploring Operation: 98-6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 57, 76, 11, 13 ]
62
[ "76-11=65", "65/13=5", "57+5=62" ]
Current State: 62:[57, 76, 11, 13], Operations: [] Exploring Operation: 76-11=65, Resulting Numbers: [57, 13, 65] Generated Node #2: [57, 13, 65] from Operation: 76-11=65 Current State: 62:[57, 13, 65], Operations: ['76-11=65'] Exploring Operation: 65/13=5, Resulting Numbers: [57, 5] Generated Node #3: [57, 5] from Operation: 65/13=5 Current State: 62:[57, 5], Operations: ['76-11=65', '65/13=5'] Exploring Operation: 57+5=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 8, 44, 37, 51 ]
66
[ "8+44=52", "51-37=14", "52+14=66" ]
Current State: 66:[8, 44, 37, 51], Operations: [] Exploring Operation: 8+44=52, Resulting Numbers: [37, 51, 52] Generated Node #2: [37, 51, 52] from Operation: 8+44=52 Current State: 66:[37, 51, 52], Operations: ['8+44=52'] Exploring Operation: 51-37=14, Resulting Numbers: [52, 14] Generated Node #3: [52, 14] from Operation: 51-37=14 Current State: 66:[52, 14], Operations: ['8+44=52', '51-37=14'] Exploring Operation: 52+14=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 9, 40, 68, 7 ]
91
[ "9*7=63", "68-40=28", "63+28=91" ]
Current State: 91:[9, 40, 68, 7], Operations: [] Exploring Operation: 9*7=63, Resulting Numbers: [40, 68, 63] Generated Node #2: [40, 68, 63] from Operation: 9*7=63 Current State: 91:[40, 68, 63], Operations: ['9*7=63'] Exploring Operation: 68-40=28, Resulting Numbers: [63, 28] Generated Node #3: [63, 28] from Operation: 68-40=28 Current State: 91:[63, 28], Operations: ['9*7=63', '68-40=28'] Exploring Operation: 63+28=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 79, 57, 25, 74 ]
27
[ "79-57=22", "74-25=49", "49-22=27" ]
Current State: 27:[79, 57, 25, 74], Operations: [] Exploring Operation: 79-57=22, Resulting Numbers: [25, 74, 22] Generated Node #2: [25, 74, 22] from Operation: 79-57=22 Current State: 27:[25, 74, 22], Operations: ['79-57=22'] Exploring Operation: 74-25=49, Resulting Numbers: [22, 49] Generated Node #3: [22, 49] from Operation: 74-25=49 Current State: 27:[22, 49], Operations: ['79-57=22', '74-25=49'] Exploring Operation: 49-22=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 5, 3, 8, 99 ]
61
[ "3*99=297", "8+297=305", "305/5=61" ]
Current State: 61:[5, 3, 8, 99], Operations: [] Exploring Operation: 3*99=297, Resulting Numbers: [5, 8, 297] Generated Node #2: [5, 8, 297] from Operation: 3*99=297 Current State: 61:[5, 8, 297], Operations: ['3*99=297'] Exploring Operation: 8+297=305, Resulting Numbers: [5, 305] Generated Node #3: [5, 305] from Operation: 8+297=305 Current State: 61:[5, 305], Operations: ['3*99=297', '8+297=305'] Exploring Operation: 305/5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 5, 75, 58, 63 ]
100
[ "63-58=5", "5*5=25", "75+25=100" ]
Current State: 100:[5, 75, 58, 63], Operations: [] Exploring Operation: 63-58=5, Resulting Numbers: [5, 75, 5] Generated Node #2: [5, 75, 5] from Operation: 63-58=5 Current State: 100:[5, 75, 5], Operations: ['63-58=5'] Exploring Operation: 5*5=25, Resulting Numbers: [75, 25] Generated Node #3: [75, 25] from Operation: 5*5=25 Current State: 100:[75, 25], Operations: ['63-58=5', '5*5=25'] Exploring Operation: 75+25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 37, 27, 99, 43 ]
78
[ "37+27=64", "99+43=142", "142-64=78" ]
Current State: 78:[37, 27, 99, 43], Operations: [] Exploring Operation: 37+27=64, Resulting Numbers: [99, 43, 64] Generated Node #2: [99, 43, 64] from Operation: 37+27=64 Current State: 78:[99, 43, 64], Operations: ['37+27=64'] Exploring Operation: 99+43=142, Resulting Numbers: [64, 142] Generated Node #3: [64, 142] from Operation: 99+43=142 Current State: 78:[64, 142], Operations: ['37+27=64', '99+43=142'] Exploring Operation: 142-64=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 97, 83, 18, 15 ]
30
[ "97+83=180", "180/15=12", "18+12=30" ]
Current State: 30:[97, 83, 18, 15], Operations: [] Exploring Operation: 97+83=180, Resulting Numbers: [18, 15, 180] Generated Node #2: [18, 15, 180] from Operation: 97+83=180 Current State: 30:[18, 15, 180], Operations: ['97+83=180'] Exploring Operation: 180/15=12, Resulting Numbers: [18, 12] Generated Node #3: [18, 12] from Operation: 180/15=12 Current State: 30:[18, 12], Operations: ['97+83=180', '180/15=12'] Exploring Operation: 18+12=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 14, 85, 98, 52 ]
25
[ "85-14=71", "98-52=46", "71-46=25" ]
Current State: 25:[14, 85, 98, 52], Operations: [] Exploring Operation: 85-14=71, Resulting Numbers: [98, 52, 71] Generated Node #2: [98, 52, 71] from Operation: 85-14=71 Current State: 25:[98, 52, 71], Operations: ['85-14=71'] Exploring Operation: 98-52=46, Resulting Numbers: [71, 46] Generated Node #3: [71, 46] from Operation: 98-52=46 Current State: 25:[71, 46], Operations: ['85-14=71', '98-52=46'] Exploring Operation: 71-46=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 25, 9, 98, 88 ]
39
[ "25*9=225", "98+88=186", "225-186=39" ]
Current State: 39:[25, 9, 98, 88], Operations: [] Exploring Operation: 25*9=225, Resulting Numbers: [98, 88, 225] Generated Node #2: [98, 88, 225] from Operation: 25*9=225 Current State: 39:[98, 88, 225], Operations: ['25*9=225'] Exploring Operation: 98+88=186, Resulting Numbers: [225, 186] Generated Node #3: [225, 186] from Operation: 98+88=186 Current State: 39:[225, 186], Operations: ['25*9=225', '98+88=186'] Exploring Operation: 225-186=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 2, 39, 8, 50 ]
22
[ "50/2=25", "39+8=47", "47-25=22" ]
Current State: 22:[2, 39, 8, 50], Operations: [] Exploring Operation: 50/2=25, Resulting Numbers: [39, 8, 25] Generated Node #2: [39, 8, 25] from Operation: 50/2=25 Current State: 22:[39, 8, 25], Operations: ['50/2=25'] Exploring Operation: 39+8=47, Resulting Numbers: [25, 47] Generated Node #3: [25, 47] from Operation: 39+8=47 Current State: 22:[25, 47], Operations: ['50/2=25', '39+8=47'] Exploring Operation: 47-25=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 54, 10, 69, 73 ]
98
[ "54-10=44", "69+73=142", "142-44=98" ]
Current State: 98:[54, 10, 69, 73], Operations: [] Exploring Operation: 54-10=44, Resulting Numbers: [69, 73, 44] Generated Node #2: [69, 73, 44] from Operation: 54-10=44 Current State: 98:[69, 73, 44], Operations: ['54-10=44'] Exploring Operation: 69+73=142, Resulting Numbers: [44, 142] Generated Node #3: [44, 142] from Operation: 69+73=142 Current State: 98:[44, 142], Operations: ['54-10=44', '69+73=142'] Exploring Operation: 142-44=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 49, 6, 18, 28 ]
74
[ "49+28=77", "18/6=3", "77-3=74" ]
Current State: 74:[49, 6, 18, 28], Operations: [] Exploring Operation: 49+28=77, Resulting Numbers: [6, 18, 77] Generated Node #2: [6, 18, 77] from Operation: 49+28=77 Current State: 74:[6, 18, 77], Operations: ['49+28=77'] Exploring Operation: 18/6=3, Resulting Numbers: [77, 3] Generated Node #3: [77, 3] from Operation: 18/6=3 Current State: 74:[77, 3], Operations: ['49+28=77', '18/6=3'] Exploring Operation: 77-3=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 38, 78, 56, 11 ]
40
[ "78-56=22", "22/11=2", "38+2=40" ]
Current State: 40:[38, 78, 56, 11], Operations: [] Exploring Operation: 78-56=22, Resulting Numbers: [38, 11, 22] Generated Node #2: [38, 11, 22] from Operation: 78-56=22 Current State: 40:[38, 11, 22], Operations: ['78-56=22'] Exploring Operation: 22/11=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 22/11=2 Current State: 40:[38, 2], Operations: ['78-56=22', '22/11=2'] Exploring Operation: 38+2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 86, 71, 93, 43 ]
20
[ "86/43=2", "93-71=22", "22-2=20" ]
Current State: 20:[86, 71, 93, 43], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [71, 93, 2] Generated Node #2: [71, 93, 2] from Operation: 86/43=2 Current State: 20:[71, 93, 2], Operations: ['86/43=2'] Exploring Operation: 93-71=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 93-71=22 Current State: 20:[2, 22], Operations: ['86/43=2', '93-71=22'] Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 22, 16, 12, 72 ]
45
[ "22-12=10", "72*10=720", "720/16=45" ]
Current State: 45:[22, 16, 12, 72], Operations: [] Exploring Operation: 22-12=10, Resulting Numbers: [16, 72, 10] Generated Node #2: [16, 72, 10] from Operation: 22-12=10 Current State: 45:[16, 72, 10], Operations: ['22-12=10'] Exploring Operation: 72*10=720, Resulting Numbers: [16, 720] Generated Node #3: [16, 720] from Operation: 72*10=720 Current State: 45:[16, 720], Operations: ['22-12=10', '72*10=720'] Exploring Operation: 720/16=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 49, 97, 73, 99 ]
61
[ "49+73=122", "99-97=2", "122/2=61" ]
Current State: 61:[49, 97, 73, 99], Operations: [] Exploring Operation: 49+73=122, Resulting Numbers: [97, 99, 122] Generated Node #2: [97, 99, 122] from Operation: 49+73=122 Current State: 61:[97, 99, 122], Operations: ['49+73=122'] Exploring Operation: 99-97=2, Resulting Numbers: [122, 2] Generated Node #3: [122, 2] from Operation: 99-97=2 Current State: 61:[122, 2], Operations: ['49+73=122', '99-97=2'] Exploring Operation: 122/2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 70, 78, 27, 74 ]
25
[ "70+78=148", "148/74=2", "27-2=25" ]
Current State: 25:[70, 78, 27, 74], Operations: [] Exploring Operation: 70+78=148, Resulting Numbers: [27, 74, 148] Generated Node #2: [27, 74, 148] from Operation: 70+78=148 Current State: 25:[27, 74, 148], Operations: ['70+78=148'] Exploring Operation: 148/74=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 148/74=2 Current State: 25:[27, 2], Operations: ['70+78=148', '148/74=2'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 47, 84, 7, 82 ]
79
[ "82-47=35", "35/7=5", "84-5=79" ]
Current State: 79:[47, 84, 7, 82], Operations: [] Exploring Operation: 82-47=35, Resulting Numbers: [84, 7, 35] Generated Node #2: [84, 7, 35] from Operation: 82-47=35 Current State: 79:[84, 7, 35], Operations: ['82-47=35'] Exploring Operation: 35/7=5, Resulting Numbers: [84, 5] Generated Node #3: [84, 5] from Operation: 35/7=5 Current State: 79:[84, 5], Operations: ['82-47=35', '35/7=5'] Exploring Operation: 84-5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 36, 48, 80, 35 ]
57
[ "48-36=12", "80-35=45", "12+45=57" ]
Current State: 57:[36, 48, 80, 35], Operations: [] Exploring Operation: 48-36=12, Resulting Numbers: [80, 35, 12] Generated Node #2: [80, 35, 12] from Operation: 48-36=12 Current State: 57:[80, 35, 12], Operations: ['48-36=12'] Exploring Operation: 80-35=45, Resulting Numbers: [12, 45] Generated Node #3: [12, 45] from Operation: 80-35=45 Current State: 57:[12, 45], Operations: ['48-36=12', '80-35=45'] Exploring Operation: 12+45=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 85, 82, 54, 34 ]
85
[ "85-82=3", "54+34=88", "88-3=85" ]
Current State: 85:[85, 82, 54, 34], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [54, 34, 3] Generated Node #2: [54, 34, 3] from Operation: 85-82=3 Current State: 85:[54, 34, 3], Operations: ['85-82=3'] Exploring Operation: 54+34=88, Resulting Numbers: [3, 88] Generated Node #3: [3, 88] from Operation: 54+34=88 Current State: 85:[3, 88], Operations: ['85-82=3', '54+34=88'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 21, 7, 34, 22 ]
13
[ "34+22=56", "56/7=8", "21-8=13" ]
Current State: 13:[21, 7, 34, 22], Operations: [] Exploring Operation: 34+22=56, Resulting Numbers: [21, 7, 56] Generated Node #2: [21, 7, 56] from Operation: 34+22=56 Current State: 13:[21, 7, 56], Operations: ['34+22=56'] Exploring Operation: 56/7=8, Resulting Numbers: [21, 8] Generated Node #3: [21, 8] from Operation: 56/7=8 Current State: 13:[21, 8], Operations: ['34+22=56', '56/7=8'] Exploring Operation: 21-8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 27, 77, 28, 49 ]
50
[ "27*49=1323", "77+1323=1400", "1400/28=50" ]
Current State: 50:[27, 77, 28, 49], Operations: [] Exploring Operation: 27*49=1323, Resulting Numbers: [77, 28, 1323] Generated Node #2: [77, 28, 1323] from Operation: 27*49=1323 Current State: 50:[77, 28, 1323], Operations: ['27*49=1323'] Exploring Operation: 77+1323=1400, Resulting Numbers: [28, 1400] Generated Node #3: [28, 1400] from Operation: 77+1323=1400 Current State: 50:[28, 1400], Operations: ['27*49=1323', '77+1323=1400'] Exploring Operation: 1400/28=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 77, 2, 84, 18 ]
23
[ "77+2=79", "84+18=102", "102-79=23" ]
Current State: 23:[77, 2, 84, 18], Operations: [] Exploring Operation: 77+2=79, Resulting Numbers: [84, 18, 79] Generated Node #2: [84, 18, 79] from Operation: 77+2=79 Current State: 23:[84, 18, 79], Operations: ['77+2=79'] Exploring Operation: 84+18=102, Resulting Numbers: [79, 102] Generated Node #3: [79, 102] from Operation: 84+18=102 Current State: 23:[79, 102], Operations: ['77+2=79', '84+18=102'] Exploring Operation: 102-79=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 8, 74, 21, 4 ]
83
[ "74-8=66", "21-4=17", "66+17=83" ]
Current State: 83:[8, 74, 21, 4], Operations: [] Exploring Operation: 74-8=66, Resulting Numbers: [21, 4, 66] Generated Node #2: [21, 4, 66] from Operation: 74-8=66 Current State: 83:[21, 4, 66], Operations: ['74-8=66'] Exploring Operation: 21-4=17, Resulting Numbers: [66, 17] Generated Node #3: [66, 17] from Operation: 21-4=17 Current State: 83:[66, 17], Operations: ['74-8=66', '21-4=17'] Exploring Operation: 66+17=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 27, 69, 19, 43 ]
14
[ "27-19=8", "69+43=112", "112/8=14" ]
Current State: 14:[27, 69, 19, 43], Operations: [] Exploring Operation: 27-19=8, Resulting Numbers: [69, 43, 8] Generated Node #2: [69, 43, 8] from Operation: 27-19=8 Current State: 14:[69, 43, 8], Operations: ['27-19=8'] Exploring Operation: 69+43=112, Resulting Numbers: [8, 112] Generated Node #3: [8, 112] from Operation: 69+43=112 Current State: 14:[8, 112], Operations: ['27-19=8', '69+43=112'] Exploring Operation: 112/8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 85, 77, 5, 18 ]
15
[ "85-77=8", "5+18=23", "23-8=15" ]
Current State: 15:[85, 77, 5, 18], Operations: [] Exploring Operation: 85-77=8, Resulting Numbers: [5, 18, 8] Generated Node #2: [5, 18, 8] from Operation: 85-77=8 Current State: 15:[5, 18, 8], Operations: ['85-77=8'] Exploring Operation: 5+18=23, Resulting Numbers: [8, 23] Generated Node #3: [8, 23] from Operation: 5+18=23 Current State: 15:[8, 23], Operations: ['85-77=8', '5+18=23'] Exploring Operation: 23-8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 19, 42, 52, 28 ]
97
[ "42*52=2184", "2184/28=78", "19+78=97" ]
Current State: 97:[19, 42, 52, 28], Operations: [] Exploring Operation: 42*52=2184, Resulting Numbers: [19, 28, 2184] Generated Node #2: [19, 28, 2184] from Operation: 42*52=2184 Current State: 97:[19, 28, 2184], Operations: ['42*52=2184'] Exploring Operation: 2184/28=78, Resulting Numbers: [19, 78] Generated Node #3: [19, 78] from Operation: 2184/28=78 Current State: 97:[19, 78], Operations: ['42*52=2184', '2184/28=78'] Exploring Operation: 19+78=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 2, 15, 18, 98 ]
80
[ "98-2=96", "15*96=1440", "1440/18=80" ]
Current State: 80:[2, 15, 18, 98], Operations: [] Exploring Operation: 98-2=96, Resulting Numbers: [15, 18, 96] Generated Node #2: [15, 18, 96] from Operation: 98-2=96 Current State: 80:[15, 18, 96], Operations: ['98-2=96'] Exploring Operation: 15*96=1440, Resulting Numbers: [18, 1440] Generated Node #3: [18, 1440] from Operation: 15*96=1440 Current State: 80:[18, 1440], Operations: ['98-2=96', '15*96=1440'] Exploring Operation: 1440/18=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 96, 97, 87, 71 ]
16
[ "97-96=1", "87-71=16", "1*16=16" ]
Current State: 16:[96, 97, 87, 71], Operations: [] Exploring Operation: 97-96=1, Resulting Numbers: [87, 71, 1] Generated Node #2: [87, 71, 1] from Operation: 97-96=1 Current State: 16:[87, 71, 1], Operations: ['97-96=1'] Exploring Operation: 87-71=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 87-71=16 Current State: 16:[1, 16], Operations: ['97-96=1', '87-71=16'] Exploring Operation: 1*16=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 3, 43, 19, 64 ]
50
[ "3*19=57", "43+64=107", "107-57=50" ]
Current State: 50:[3, 43, 19, 64], Operations: [] Exploring Operation: 3*19=57, Resulting Numbers: [43, 64, 57] Generated Node #2: [43, 64, 57] from Operation: 3*19=57 Current State: 50:[43, 64, 57], Operations: ['3*19=57'] Exploring Operation: 43+64=107, Resulting Numbers: [57, 107] Generated Node #3: [57, 107] from Operation: 43+64=107 Current State: 50:[57, 107], Operations: ['3*19=57', '43+64=107'] Exploring Operation: 107-57=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 60, 24, 13, 49 ]
90
[ "49-13=36", "60*36=2160", "2160/24=90" ]
Current State: 90:[60, 24, 13, 49], Operations: [] Exploring Operation: 49-13=36, Resulting Numbers: [60, 24, 36] Generated Node #2: [60, 24, 36] from Operation: 49-13=36 Current State: 90:[60, 24, 36], Operations: ['49-13=36'] Exploring Operation: 60*36=2160, Resulting Numbers: [24, 2160] Generated Node #3: [24, 2160] from Operation: 60*36=2160 Current State: 90:[24, 2160], Operations: ['49-13=36', '60*36=2160'] Exploring Operation: 2160/24=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 78, 68, 3, 65 ]
58
[ "78-68=10", "3+65=68", "68-10=58" ]
Current State: 58:[78, 68, 3, 65], Operations: [] Exploring Operation: 78-68=10, Resulting Numbers: [3, 65, 10] Generated Node #2: [3, 65, 10] from Operation: 78-68=10 Current State: 58:[3, 65, 10], Operations: ['78-68=10'] Exploring Operation: 3+65=68, Resulting Numbers: [10, 68] Generated Node #3: [10, 68] from Operation: 3+65=68 Current State: 58:[10, 68], Operations: ['78-68=10', '3+65=68'] Exploring Operation: 68-10=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 23, 34, 38, 15 ]
46
[ "23*38=874", "34-15=19", "874/19=46" ]
Current State: 46:[23, 34, 38, 15], Operations: [] Exploring Operation: 23*38=874, Resulting Numbers: [34, 15, 874] Generated Node #2: [34, 15, 874] from Operation: 23*38=874 Current State: 46:[34, 15, 874], Operations: ['23*38=874'] Exploring Operation: 34-15=19, Resulting Numbers: [874, 19] Generated Node #3: [874, 19] from Operation: 34-15=19 Current State: 46:[874, 19], Operations: ['23*38=874', '34-15=19'] Exploring Operation: 874/19=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 8, 73, 95, 99 ]
75
[ "99-95=4", "8/4=2", "73+2=75" ]
Current State: 75:[8, 73, 95, 99], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [8, 73, 4] Generated Node #2: [8, 73, 4] from Operation: 99-95=4 Current State: 75:[8, 73, 4], Operations: ['99-95=4'] Exploring Operation: 8/4=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 8/4=2 Current State: 75:[73, 2], Operations: ['99-95=4', '8/4=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 69, 4, 93, 77 ]
95
[ "77-69=8", "8/4=2", "93+2=95" ]
Current State: 95:[69, 4, 93, 77], Operations: [] Exploring Operation: 77-69=8, Resulting Numbers: [4, 93, 8] Generated Node #2: [4, 93, 8] from Operation: 77-69=8 Current State: 95:[4, 93, 8], Operations: ['77-69=8'] Exploring Operation: 8/4=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 8/4=2 Current State: 95:[93, 2], Operations: ['77-69=8', '8/4=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 86, 46, 40, 66 ]
44
[ "86-66=20", "40/20=2", "46-2=44" ]
Current State: 44:[86, 46, 40, 66], Operations: [] Exploring Operation: 86-66=20, Resulting Numbers: [46, 40, 20] Generated Node #2: [46, 40, 20] from Operation: 86-66=20 Current State: 44:[46, 40, 20], Operations: ['86-66=20'] Exploring Operation: 40/20=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 40/20=2 Current State: 44:[46, 2], Operations: ['86-66=20', '40/20=2'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 16, 32, 4, 13 ]
92
[ "16-13=3", "32*3=96", "96-4=92" ]
Current State: 92:[16, 32, 4, 13], Operations: [] Exploring Operation: 16-13=3, Resulting Numbers: [32, 4, 3] Generated Node #2: [32, 4, 3] from Operation: 16-13=3 Current State: 92:[32, 4, 3], Operations: ['16-13=3'] Exploring Operation: 32*3=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 32*3=96 Current State: 92:[4, 96], Operations: ['16-13=3', '32*3=96'] Exploring Operation: 96-4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 28, 8, 36, 36 ]
28
[ "28+36=64", "64/8=8", "36-8=28" ]
Current State: 28:[28, 8, 36, 36], Operations: [] Exploring Operation: 28+36=64, Resulting Numbers: [8, 64] Generated Node #2: [8, 64] from Operation: 28+36=64 Current State: 28:[8, 64], Operations: ['28+36=64'] Exploring Operation: 64/8=8, Resulting Numbers: [8] 8,28 equal: Goal Reached Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4