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
[ 22, 75, 61, 38 ]
75
[ "61-22=39", "39-38=1", "75*1=75" ]
Current State: 75:[22, 75, 61, 38], Operations: [] Exploring Operation: 61-22=39, Resulting Numbers: [75, 38, 39] Generated Node #2: [75, 38, 39] from Operation: 61-22=39 Current State: 75:[75, 38, 39], Operations: ['61-22=39'] Exploring Operation: 39-38=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 39-38=1 Current State: 75:[75, 1], Operations: ['61-22=39', '39-38=1'] Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 70, 53, 12, 1 ]
30
[ "70-53=17", "12+1=13", "17+13=30" ]
Current State: 30:[70, 53, 12, 1], Operations: [] Exploring Operation: 70-53=17, Resulting Numbers: [12, 1, 17] Generated Node #2: [12, 1, 17] from Operation: 70-53=17 Current State: 30:[12, 1, 17], Operations: ['70-53=17'] Exploring Operation: 12+1=13, Resulting Numbers: [17, 13] Generated Node #3: [17, 13] from Operation: 12+1=13 Current State: 30:[17, 13], Operations: ['70-53=17', '12+1=13'] Exploring Operation: 17+13=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 46, 72, 40, 6 ]
72
[ "46+72=118", "40+6=46", "118-46=72" ]
Current State: 72:[46, 72, 40, 6], Operations: [] Exploring Operation: 46+72=118, Resulting Numbers: [40, 6, 118] Generated Node #2: [40, 6, 118] from Operation: 46+72=118 Current State: 72:[40, 6, 118], Operations: ['46+72=118'] Exploring Operation: 40+6=46, Resulting Numbers: [118, 46] Generated Node #3: [118, 46] from Operation: 40+6=46 Current State: 72:[118, 46], Operations: ['46+72=118', '40+6=46'] Exploring Operation: 118-46=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 57, 61, 77, 69 ]
12
[ "61-57=4", "77-69=8", "4+8=12" ]
Current State: 12:[57, 61, 77, 69], Operations: [] Exploring Operation: 61-57=4, Resulting Numbers: [77, 69, 4] Generated Node #2: [77, 69, 4] from Operation: 61-57=4 Current State: 12:[77, 69, 4], Operations: ['61-57=4'] Exploring Operation: 77-69=8, Resulting Numbers: [4, 8] Generated Node #3: [4, 8] from Operation: 77-69=8 Current State: 12:[4, 8], Operations: ['61-57=4', '77-69=8'] Exploring Operation: 4+8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 60, 43, 26 ]
27
[ "60-43=17", "26-17=9", "3*9=27" ]
Current State: 27:[3, 60, 43, 26], Operations: [] Exploring Operation: 60-43=17, Resulting Numbers: [3, 26, 17] Generated Node #2: [3, 26, 17] from Operation: 60-43=17 Current State: 27:[3, 26, 17], Operations: ['60-43=17'] Exploring Operation: 26-17=9, Resulting Numbers: [3, 9] Generated Node #3: [3, 9] from Operation: 26-17=9 Current State: 27:[3, 9], Operations: ['60-43=17', '26-17=9'] Exploring Operation: 3*9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 4, 12, 54, 14 ]
98
[ "4*14=56", "54-12=42", "56+42=98" ]
Current State: 98:[4, 12, 54, 14], Operations: [] Exploring Operation: 4*14=56, Resulting Numbers: [12, 54, 56] Generated Node #2: [12, 54, 56] from Operation: 4*14=56 Current State: 98:[12, 54, 56], Operations: ['4*14=56'] Exploring Operation: 54-12=42, Resulting Numbers: [56, 42] Generated Node #3: [56, 42] from Operation: 54-12=42 Current State: 98:[56, 42], Operations: ['4*14=56', '54-12=42'] Exploring Operation: 56+42=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 87, 39, 29, 14 ]
87
[ "87*14=1218", "39*29=1131", "1218-1131=87" ]
Current State: 87:[87, 39, 29, 14], Operations: [] Exploring Operation: 87*14=1218, Resulting Numbers: [39, 29, 1218] Generated Node #2: [39, 29, 1218] from Operation: 87*14=1218 Current State: 87:[39, 29, 1218], Operations: ['87*14=1218'] Exploring Operation: 39*29=1131, Resulting Numbers: [1218, 1131] Generated Node #3: [1218, 1131] from Operation: 39*29=1131 Current State: 87:[1218, 1131], Operations: ['87*14=1218', '39*29=1131'] Exploring Operation: 1218-1131=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 5, 11, 14, 15 ]
61
[ "15-11=4", "14*4=56", "5+56=61" ]
Current State: 61:[5, 11, 14, 15], Operations: [] Exploring Operation: 15-11=4, Resulting Numbers: [5, 14, 4] Generated Node #2: [5, 14, 4] from Operation: 15-11=4 Current State: 61:[5, 14, 4], Operations: ['15-11=4'] Exploring Operation: 14*4=56, Resulting Numbers: [5, 56] Generated Node #3: [5, 56] from Operation: 14*4=56 Current State: 61:[5, 56], Operations: ['15-11=4', '14*4=56'] Exploring Operation: 5+56=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 50, 22, 68, 50 ]
91
[ "50/50=1", "22+68=90", "1+90=91" ]
Current State: 91:[50, 22, 68, 50], Operations: [] Exploring Operation: 50/50=1, Resulting Numbers: [22, 68, 1] Generated Node #2: [22, 68, 1] from Operation: 50/50=1 Current State: 91:[22, 68, 1], Operations: ['50/50=1'] Exploring Operation: 22+68=90, Resulting Numbers: [1, 90] Generated Node #3: [1, 90] from Operation: 22+68=90 Current State: 91:[1, 90], Operations: ['50/50=1', '22+68=90'] Exploring Operation: 1+90=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 42, 4, 33, 68 ]
67
[ "42*4=168", "33+68=101", "168-101=67" ]
Current State: 67:[42, 4, 33, 68], Operations: [] Exploring Operation: 42*4=168, Resulting Numbers: [33, 68, 168] Generated Node #2: [33, 68, 168] from Operation: 42*4=168 Current State: 67:[33, 68, 168], Operations: ['42*4=168'] Exploring Operation: 33+68=101, Resulting Numbers: [168, 101] Generated Node #3: [168, 101] from Operation: 33+68=101 Current State: 67:[168, 101], Operations: ['42*4=168', '33+68=101'] Exploring Operation: 168-101=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 28, 51, 58, 39 ]
77
[ "39-28=11", "58-51=7", "11*7=77" ]
Current State: 77:[28, 51, 58, 39], Operations: [] Exploring Operation: 39-28=11, Resulting Numbers: [51, 58, 11] Generated Node #2: [51, 58, 11] from Operation: 39-28=11 Current State: 77:[51, 58, 11], Operations: ['39-28=11'] Exploring Operation: 58-51=7, Resulting Numbers: [11, 7] Generated Node #3: [11, 7] from Operation: 58-51=7 Current State: 77:[11, 7], Operations: ['39-28=11', '58-51=7'] Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 3, 98, 83, 98 ]
28
[ "98/98=1", "83+1=84", "84/3=28" ]
Current State: 28:[3, 98, 83, 98], Operations: [] Exploring Operation: 98/98=1, Resulting Numbers: [3, 83, 1] Generated Node #2: [3, 83, 1] from Operation: 98/98=1 Current State: 28:[3, 83, 1], Operations: ['98/98=1'] Exploring Operation: 83+1=84, Resulting Numbers: [3, 84] Generated Node #3: [3, 84] from Operation: 83+1=84 Current State: 28:[3, 84], Operations: ['98/98=1', '83+1=84'] Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 30, 91, 13, 10 ]
47
[ "30+10=40", "91/13=7", "40+7=47" ]
Current State: 47:[30, 91, 13, 10], Operations: [] Exploring Operation: 30+10=40, Resulting Numbers: [91, 13, 40] Generated Node #2: [91, 13, 40] from Operation: 30+10=40 Current State: 47:[91, 13, 40], Operations: ['30+10=40'] Exploring Operation: 91/13=7, Resulting Numbers: [40, 7] Generated Node #3: [40, 7] from Operation: 91/13=7 Current State: 47:[40, 7], Operations: ['30+10=40', '91/13=7'] Exploring Operation: 40+7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 33, 12, 77, 37 ]
19
[ "33-12=21", "77-37=40", "40-21=19" ]
Current State: 19:[33, 12, 77, 37], Operations: [] Exploring Operation: 33-12=21, Resulting Numbers: [77, 37, 21] Generated Node #2: [77, 37, 21] from Operation: 33-12=21 Current State: 19:[77, 37, 21], Operations: ['33-12=21'] Exploring Operation: 77-37=40, Resulting Numbers: [21, 40] Generated Node #3: [21, 40] from Operation: 77-37=40 Current State: 19:[21, 40], Operations: ['33-12=21', '77-37=40'] Exploring Operation: 40-21=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 81, 38, 71, 1 ]
29
[ "81-38=43", "71+1=72", "72-43=29" ]
Current State: 29:[81, 38, 71, 1], Operations: [] Exploring Operation: 81-38=43, Resulting Numbers: [71, 1, 43] Generated Node #2: [71, 1, 43] from Operation: 81-38=43 Current State: 29:[71, 1, 43], Operations: ['81-38=43'] Exploring Operation: 71+1=72, Resulting Numbers: [43, 72] Generated Node #3: [43, 72] from Operation: 71+1=72 Current State: 29:[43, 72], Operations: ['81-38=43', '71+1=72'] Exploring Operation: 72-43=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 44, 50, 93, 77 ]
22
[ "50-44=6", "93-77=16", "6+16=22" ]
Current State: 22:[44, 50, 93, 77], Operations: [] Exploring Operation: 50-44=6, Resulting Numbers: [93, 77, 6] Generated Node #2: [93, 77, 6] from Operation: 50-44=6 Current State: 22:[93, 77, 6], Operations: ['50-44=6'] Exploring Operation: 93-77=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 93-77=16 Current State: 22:[6, 16], Operations: ['50-44=6', '93-77=16'] Exploring Operation: 6+16=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 4, 2, 13, 98 ]
60
[ "98-4=94", "94/2=47", "13+47=60" ]
Current State: 60:[4, 2, 13, 98], Operations: [] Exploring Operation: 98-4=94, Resulting Numbers: [2, 13, 94] Generated Node #2: [2, 13, 94] from Operation: 98-4=94 Current State: 60:[2, 13, 94], Operations: ['98-4=94'] Exploring Operation: 94/2=47, Resulting Numbers: [13, 47] Generated Node #3: [13, 47] from Operation: 94/2=47 Current State: 60:[13, 47], Operations: ['98-4=94', '94/2=47'] Exploring Operation: 13+47=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 42, 32, 96, 15 ]
54
[ "42-32=10", "15*10=150", "150-96=54" ]
Current State: 54:[42, 32, 96, 15], Operations: [] Exploring Operation: 42-32=10, Resulting Numbers: [96, 15, 10] Generated Node #2: [96, 15, 10] from Operation: 42-32=10 Current State: 54:[96, 15, 10], Operations: ['42-32=10'] Exploring Operation: 15*10=150, Resulting Numbers: [96, 150] Generated Node #3: [96, 150] from Operation: 15*10=150 Current State: 54:[96, 150], Operations: ['42-32=10', '15*10=150'] Exploring Operation: 150-96=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 25, 81, 60, 83 ]
55
[ "83-81=2", "60/2=30", "25+30=55" ]
Current State: 55:[25, 81, 60, 83], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [25, 60, 2] Generated Node #2: [25, 60, 2] from Operation: 83-81=2 Current State: 55:[25, 60, 2], Operations: ['83-81=2'] Exploring Operation: 60/2=30, Resulting Numbers: [25, 30] Generated Node #3: [25, 30] from Operation: 60/2=30 Current State: 55:[25, 30], Operations: ['83-81=2', '60/2=30'] Exploring Operation: 25+30=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 66, 65, 26, 66 ]
40
[ "66-65=1", "66-26=40", "1*40=40" ]
Current State: 40:[66, 65, 26, 66], Operations: [] Exploring Operation: 66-65=1, Resulting Numbers: [26, 1] Generated Node #2: [26, 1] from Operation: 66-65=1 Current State: 40:[26, 1], Operations: ['66-65=1'] Exploring Operation: 66-26=40, Resulting Numbers: [1, 40] Generated Node #3: [1, 40] from Operation: 66-26=40 Current State: 40:[1, 40], Operations: ['66-65=1', '66-26=40'] Exploring Operation: 1*40=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 81, 13, 15, 34 ]
80
[ "81+34=115", "13*15=195", "195-115=80" ]
Current State: 80:[81, 13, 15, 34], Operations: [] Exploring Operation: 81+34=115, Resulting Numbers: [13, 15, 115] Generated Node #2: [13, 15, 115] from Operation: 81+34=115 Current State: 80:[13, 15, 115], Operations: ['81+34=115'] Exploring Operation: 13*15=195, Resulting Numbers: [115, 195] Generated Node #3: [115, 195] from Operation: 13*15=195 Current State: 80:[115, 195], Operations: ['81+34=115', '13*15=195'] Exploring Operation: 195-115=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 64, 32, 49, 46 ]
29
[ "64-32=32", "49-46=3", "32-3=29" ]
Current State: 29:[64, 32, 49, 46], Operations: [] Exploring Operation: 64-32=32, Resulting Numbers: [49, 46, 32] Generated Node #2: [49, 46, 32] from Operation: 64-32=32 Current State: 29:[49, 46, 32], Operations: ['64-32=32'] Exploring Operation: 49-46=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 49-46=3 Current State: 29:[32, 3], Operations: ['64-32=32', '49-46=3'] Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 6, 40, 53, 12 ]
75
[ "40-6=34", "53-12=41", "34+41=75" ]
Current State: 75:[6, 40, 53, 12], Operations: [] Exploring Operation: 40-6=34, Resulting Numbers: [53, 12, 34] Generated Node #2: [53, 12, 34] from Operation: 40-6=34 Current State: 75:[53, 12, 34], Operations: ['40-6=34'] Exploring Operation: 53-12=41, Resulting Numbers: [34, 41] Generated Node #3: [34, 41] from Operation: 53-12=41 Current State: 75:[34, 41], Operations: ['40-6=34', '53-12=41'] Exploring Operation: 34+41=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 2, 18, 56, 58 ]
61
[ "56-2=54", "54/18=3", "58+3=61" ]
Current State: 61:[2, 18, 56, 58], Operations: [] Exploring Operation: 56-2=54, Resulting Numbers: [18, 58, 54] Generated Node #2: [18, 58, 54] from Operation: 56-2=54 Current State: 61:[18, 58, 54], Operations: ['56-2=54'] Exploring Operation: 54/18=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 54/18=3 Current State: 61:[58, 3], Operations: ['56-2=54', '54/18=3'] Exploring Operation: 58+3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 86, 79, 3, 45 ]
70
[ "86+79=165", "45+165=210", "210/3=70" ]
Current State: 70:[86, 79, 3, 45], Operations: [] Exploring Operation: 86+79=165, Resulting Numbers: [3, 45, 165] Generated Node #2: [3, 45, 165] from Operation: 86+79=165 Current State: 70:[3, 45, 165], Operations: ['86+79=165'] Exploring Operation: 45+165=210, Resulting Numbers: [3, 210] Generated Node #3: [3, 210] from Operation: 45+165=210 Current State: 70:[3, 210], Operations: ['86+79=165', '45+165=210'] Exploring Operation: 210/3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 89, 67, 6, 79 ]
39
[ "89+79=168", "168/6=28", "67-28=39" ]
Current State: 39:[89, 67, 6, 79], Operations: [] Exploring Operation: 89+79=168, Resulting Numbers: [67, 6, 168] Generated Node #2: [67, 6, 168] from Operation: 89+79=168 Current State: 39:[67, 6, 168], Operations: ['89+79=168'] Exploring Operation: 168/6=28, Resulting Numbers: [67, 28] Generated Node #3: [67, 28] from Operation: 168/6=28 Current State: 39:[67, 28], Operations: ['89+79=168', '168/6=28'] Exploring Operation: 67-28=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 95, 5, 43, 89 ]
54
[ "95+5=100", "89-43=46", "100-46=54" ]
Current State: 54:[95, 5, 43, 89], Operations: [] Exploring Operation: 95+5=100, Resulting Numbers: [43, 89, 100] Generated Node #2: [43, 89, 100] from Operation: 95+5=100 Current State: 54:[43, 89, 100], Operations: ['95+5=100'] Exploring Operation: 89-43=46, Resulting Numbers: [100, 46] Generated Node #3: [100, 46] from Operation: 89-43=46 Current State: 54:[100, 46], Operations: ['95+5=100', '89-43=46'] Exploring Operation: 100-46=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 39, 63, 26, 76 ]
74
[ "63-39=24", "76-26=50", "24+50=74" ]
Current State: 74:[39, 63, 26, 76], Operations: [] Exploring Operation: 63-39=24, Resulting Numbers: [26, 76, 24] Generated Node #2: [26, 76, 24] from Operation: 63-39=24 Current State: 74:[26, 76, 24], Operations: ['63-39=24'] Exploring Operation: 76-26=50, Resulting Numbers: [24, 50] Generated Node #3: [24, 50] from Operation: 76-26=50 Current State: 74:[24, 50], Operations: ['63-39=24', '76-26=50'] Exploring Operation: 24+50=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 70, 78, 95, 85 ]
75
[ "95-78=17", "85/17=5", "70+5=75" ]
Current State: 75:[70, 78, 95, 85], Operations: [] Exploring Operation: 95-78=17, Resulting Numbers: [70, 85, 17] Generated Node #2: [70, 85, 17] from Operation: 95-78=17 Current State: 75:[70, 85, 17], Operations: ['95-78=17'] Exploring Operation: 85/17=5, Resulting Numbers: [70, 5] Generated Node #3: [70, 5] from Operation: 85/17=5 Current State: 75:[70, 5], Operations: ['95-78=17', '85/17=5'] Exploring Operation: 70+5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 83, 16, 20, 16 ]
87
[ "20-16=4", "16/4=4", "83+4=87" ]
Current State: 87:[83, 16, 20, 16], Operations: [] Exploring Operation: 20-16=4, Resulting Numbers: [83, 4] Generated Node #2: [83, 4] from Operation: 20-16=4 Current State: 87:[83, 4], Operations: ['20-16=4'] Exploring Operation: 16/4=4, Resulting Numbers: [83, 4] Generated Node #3: [83, 4] from Operation: 16/4=4 Current State: 87:[83, 4], Operations: ['20-16=4', '16/4=4'] Exploring Operation: 83+4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 26, 74, 8, 67 ]
26
[ "74-8=66", "67-66=1", "26*1=26" ]
Current State: 26:[26, 74, 8, 67], Operations: [] Exploring Operation: 74-8=66, Resulting Numbers: [26, 67, 66] Generated Node #2: [26, 67, 66] from Operation: 74-8=66 Current State: 26:[26, 67, 66], Operations: ['74-8=66'] Exploring Operation: 67-66=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 67-66=1 Current State: 26:[26, 1], Operations: ['74-8=66', '67-66=1'] Exploring Operation: 26*1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 19, 50, 55, 17 ]
100
[ "55-17=38", "38/19=2", "50*2=100" ]
Current State: 100:[19, 50, 55, 17], Operations: [] Exploring Operation: 55-17=38, Resulting Numbers: [19, 50, 38] Generated Node #2: [19, 50, 38] from Operation: 55-17=38 Current State: 100:[19, 50, 38], Operations: ['55-17=38'] Exploring Operation: 38/19=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 38/19=2 Current State: 100:[50, 2], Operations: ['55-17=38', '38/19=2'] Exploring Operation: 50*2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 37, 82, 2, 49 ]
58
[ "49-37=12", "2*12=24", "82-24=58" ]
Current State: 58:[37, 82, 2, 49], Operations: [] Exploring Operation: 49-37=12, Resulting Numbers: [82, 2, 12] Generated Node #2: [82, 2, 12] from Operation: 49-37=12 Current State: 58:[82, 2, 12], Operations: ['49-37=12'] Exploring Operation: 2*12=24, Resulting Numbers: [82, 24] Generated Node #3: [82, 24] from Operation: 2*12=24 Current State: 58:[82, 24], Operations: ['49-37=12', '2*12=24'] Exploring Operation: 82-24=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 2, 7, 94, 12 ]
93
[ "12/2=6", "94-7=87", "6+87=93" ]
Current State: 93:[2, 7, 94, 12], Operations: [] Exploring Operation: 12/2=6, Resulting Numbers: [7, 94, 6] Generated Node #2: [7, 94, 6] from Operation: 12/2=6 Current State: 93:[7, 94, 6], Operations: ['12/2=6'] Exploring Operation: 94-7=87, Resulting Numbers: [6, 87] Generated Node #3: [6, 87] from Operation: 94-7=87 Current State: 93:[6, 87], Operations: ['12/2=6', '94-7=87'] Exploring Operation: 6+87=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 83, 56, 75, 13 ]
48
[ "83-75=8", "13*8=104", "104-56=48" ]
Current State: 48:[83, 56, 75, 13], Operations: [] Exploring Operation: 83-75=8, Resulting Numbers: [56, 13, 8] Generated Node #2: [56, 13, 8] from Operation: 83-75=8 Current State: 48:[56, 13, 8], Operations: ['83-75=8'] Exploring Operation: 13*8=104, Resulting Numbers: [56, 104] Generated Node #3: [56, 104] from Operation: 13*8=104 Current State: 48:[56, 104], Operations: ['83-75=8', '13*8=104'] Exploring Operation: 104-56=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 59, 94, 37, 60 ]
58
[ "94-59=35", "60-37=23", "35+23=58" ]
Current State: 58:[59, 94, 37, 60], Operations: [] Exploring Operation: 94-59=35, Resulting Numbers: [37, 60, 35] Generated Node #2: [37, 60, 35] from Operation: 94-59=35 Current State: 58:[37, 60, 35], Operations: ['94-59=35'] Exploring Operation: 60-37=23, Resulting Numbers: [35, 23] Generated Node #3: [35, 23] from Operation: 60-37=23 Current State: 58:[35, 23], Operations: ['94-59=35', '60-37=23'] Exploring Operation: 35+23=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 42, 64, 3, 21 ]
63
[ "42/21=2", "64-3=61", "2+61=63" ]
Current State: 63:[42, 64, 3, 21], Operations: [] Exploring Operation: 42/21=2, Resulting Numbers: [64, 3, 2] Generated Node #2: [64, 3, 2] from Operation: 42/21=2 Current State: 63:[64, 3, 2], Operations: ['42/21=2'] Exploring Operation: 64-3=61, Resulting Numbers: [2, 61] Generated Node #3: [2, 61] from Operation: 64-3=61 Current State: 63:[2, 61], Operations: ['42/21=2', '64-3=61'] Exploring Operation: 2+61=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 52, 41, 78, 4 ]
34
[ "52-41=11", "4*11=44", "78-44=34" ]
Current State: 34:[52, 41, 78, 4], Operations: [] Exploring Operation: 52-41=11, Resulting Numbers: [78, 4, 11] Generated Node #2: [78, 4, 11] from Operation: 52-41=11 Current State: 34:[78, 4, 11], Operations: ['52-41=11'] Exploring Operation: 4*11=44, Resulting Numbers: [78, 44] Generated Node #3: [78, 44] from Operation: 4*11=44 Current State: 34:[78, 44], Operations: ['52-41=11', '4*11=44'] Exploring Operation: 78-44=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 89, 27, 58, 24 ]
12
[ "89+27=116", "58*24=1392", "1392/116=12" ]
Current State: 12:[89, 27, 58, 24], Operations: [] Exploring Operation: 89+27=116, Resulting Numbers: [58, 24, 116] Generated Node #2: [58, 24, 116] from Operation: 89+27=116 Current State: 12:[58, 24, 116], Operations: ['89+27=116'] Exploring Operation: 58*24=1392, Resulting Numbers: [116, 1392] Generated Node #3: [116, 1392] from Operation: 58*24=1392 Current State: 12:[116, 1392], Operations: ['89+27=116', '58*24=1392'] Exploring Operation: 1392/116=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 74, 49, 72, 97 ]
98
[ "74+49=123", "97-72=25", "123-25=98" ]
Current State: 98:[74, 49, 72, 97], Operations: [] Exploring Operation: 74+49=123, Resulting Numbers: [72, 97, 123] Generated Node #2: [72, 97, 123] from Operation: 74+49=123 Current State: 98:[72, 97, 123], Operations: ['74+49=123'] Exploring Operation: 97-72=25, Resulting Numbers: [123, 25] Generated Node #3: [123, 25] from Operation: 97-72=25 Current State: 98:[123, 25], Operations: ['74+49=123', '97-72=25'] Exploring Operation: 123-25=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 12, 96, 43, 5 ]
10
[ "43+5=48", "96/48=2", "12-2=10" ]
Current State: 10:[12, 96, 43, 5], Operations: [] Exploring Operation: 43+5=48, Resulting Numbers: [12, 96, 48] Generated Node #2: [12, 96, 48] from Operation: 43+5=48 Current State: 10:[12, 96, 48], Operations: ['43+5=48'] Exploring Operation: 96/48=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 96/48=2 Current State: 10:[12, 2], Operations: ['43+5=48', '96/48=2'] Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 96, 98, 84, 47 ]
89
[ "98-96=2", "84/2=42", "47+42=89" ]
Current State: 89:[96, 98, 84, 47], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [84, 47, 2] Generated Node #2: [84, 47, 2] from Operation: 98-96=2 Current State: 89:[84, 47, 2], Operations: ['98-96=2'] Exploring Operation: 84/2=42, Resulting Numbers: [47, 42] Generated Node #3: [47, 42] from Operation: 84/2=42 Current State: 89:[47, 42], Operations: ['98-96=2', '84/2=42'] Exploring Operation: 47+42=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 46, 2, 76, 53 ]
16
[ "46+76=122", "2*53=106", "122-106=16" ]
Current State: 16:[46, 2, 76, 53], Operations: [] Exploring Operation: 46+76=122, Resulting Numbers: [2, 53, 122] Generated Node #2: [2, 53, 122] from Operation: 46+76=122 Current State: 16:[2, 53, 122], Operations: ['46+76=122'] Exploring Operation: 2*53=106, Resulting Numbers: [122, 106] Generated Node #3: [122, 106] from Operation: 2*53=106 Current State: 16:[122, 106], Operations: ['46+76=122', '2*53=106'] Exploring Operation: 122-106=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 34, 30, 18, 15 ]
30
[ "34-18=16", "16-15=1", "30*1=30" ]
Current State: 30:[34, 30, 18, 15], Operations: [] Exploring Operation: 34-18=16, Resulting Numbers: [30, 15, 16] Generated Node #2: [30, 15, 16] from Operation: 34-18=16 Current State: 30:[30, 15, 16], Operations: ['34-18=16'] Exploring Operation: 16-15=1, Resulting Numbers: [30, 1] Generated Node #3: [30, 1] from Operation: 16-15=1 Current State: 30:[30, 1], Operations: ['34-18=16', '16-15=1'] Exploring Operation: 30*1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 92, 64, 26, 2 ]
80
[ "92-64=28", "26*2=52", "28+52=80" ]
Current State: 80:[92, 64, 26, 2], Operations: [] Exploring Operation: 92-64=28, Resulting Numbers: [26, 2, 28] Generated Node #2: [26, 2, 28] from Operation: 92-64=28 Current State: 80:[26, 2, 28], Operations: ['92-64=28'] Exploring Operation: 26*2=52, Resulting Numbers: [28, 52] Generated Node #3: [28, 52] from Operation: 26*2=52 Current State: 80:[28, 52], Operations: ['92-64=28', '26*2=52'] Exploring Operation: 28+52=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 78, 79, 95, 26 ]
48
[ "78/26=3", "95-79=16", "3*16=48" ]
Current State: 48:[78, 79, 95, 26], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [79, 95, 3] Generated Node #2: [79, 95, 3] from Operation: 78/26=3 Current State: 48:[79, 95, 3], Operations: ['78/26=3'] Exploring Operation: 95-79=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 95-79=16 Current State: 48:[3, 16], Operations: ['78/26=3', '95-79=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 17, 61, 13, 86 ]
29
[ "61-17=44", "86-13=73", "73-44=29" ]
Current State: 29:[17, 61, 13, 86], Operations: [] Exploring Operation: 61-17=44, Resulting Numbers: [13, 86, 44] Generated Node #2: [13, 86, 44] from Operation: 61-17=44 Current State: 29:[13, 86, 44], Operations: ['61-17=44'] Exploring Operation: 86-13=73, Resulting Numbers: [44, 73] Generated Node #3: [44, 73] from Operation: 86-13=73 Current State: 29:[44, 73], Operations: ['61-17=44', '86-13=73'] Exploring Operation: 73-44=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 90, 1, 24, 74 ]
41
[ "90+1=91", "74-24=50", "91-50=41" ]
Current State: 41:[90, 1, 24, 74], Operations: [] Exploring Operation: 90+1=91, Resulting Numbers: [24, 74, 91] Generated Node #2: [24, 74, 91] from Operation: 90+1=91 Current State: 41:[24, 74, 91], Operations: ['90+1=91'] Exploring Operation: 74-24=50, Resulting Numbers: [91, 50] Generated Node #3: [91, 50] from Operation: 74-24=50 Current State: 41:[91, 50], Operations: ['90+1=91', '74-24=50'] Exploring Operation: 91-50=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 45, 60, 2, 75 ]
90
[ "45+60=105", "75+105=180", "180/2=90" ]
Current State: 90:[45, 60, 2, 75], Operations: [] Exploring Operation: 45+60=105, Resulting Numbers: [2, 75, 105] Generated Node #2: [2, 75, 105] from Operation: 45+60=105 Current State: 90:[2, 75, 105], Operations: ['45+60=105'] Exploring Operation: 75+105=180, Resulting Numbers: [2, 180] Generated Node #3: [2, 180] from Operation: 75+105=180 Current State: 90:[2, 180], Operations: ['45+60=105', '75+105=180'] Exploring Operation: 180/2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 62, 34, 6, 99 ]
97
[ "62+6=68", "68/34=2", "99-2=97" ]
Current State: 97:[62, 34, 6, 99], Operations: [] Exploring Operation: 62+6=68, Resulting Numbers: [34, 99, 68] Generated Node #2: [34, 99, 68] from Operation: 62+6=68 Current State: 97:[34, 99, 68], Operations: ['62+6=68'] Exploring Operation: 68/34=2, Resulting Numbers: [99, 2] Generated Node #3: [99, 2] from Operation: 68/34=2 Current State: 97:[99, 2], Operations: ['62+6=68', '68/34=2'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 29, 20, 10, 66 ]
35
[ "66-29=37", "20/10=2", "37-2=35" ]
Current State: 35:[29, 20, 10, 66], Operations: [] Exploring Operation: 66-29=37, Resulting Numbers: [20, 10, 37] Generated Node #2: [20, 10, 37] from Operation: 66-29=37 Current State: 35:[20, 10, 37], Operations: ['66-29=37'] Exploring Operation: 20/10=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 20/10=2 Current State: 35:[37, 2], Operations: ['66-29=37', '20/10=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 85, 14, 13, 40 ]
83
[ "40-14=26", "26/13=2", "85-2=83" ]
Current State: 83:[85, 14, 13, 40], Operations: [] Exploring Operation: 40-14=26, Resulting Numbers: [85, 13, 26] Generated Node #2: [85, 13, 26] from Operation: 40-14=26 Current State: 83:[85, 13, 26], Operations: ['40-14=26'] Exploring Operation: 26/13=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 26/13=2 Current State: 83:[85, 2], Operations: ['40-14=26', '26/13=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 93, 14, 85, 13 ]
90
[ "93-85=8", "13*8=104", "104-14=90" ]
Current State: 90:[93, 14, 85, 13], Operations: [] Exploring Operation: 93-85=8, Resulting Numbers: [14, 13, 8] Generated Node #2: [14, 13, 8] from Operation: 93-85=8 Current State: 90:[14, 13, 8], Operations: ['93-85=8'] Exploring Operation: 13*8=104, Resulting Numbers: [14, 104] Generated Node #3: [14, 104] from Operation: 13*8=104 Current State: 90:[14, 104], Operations: ['93-85=8', '13*8=104'] Exploring Operation: 104-14=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 33, 2, 5, 34 ]
27
[ "33+2=35", "35/5=7", "34-7=27" ]
Current State: 27:[33, 2, 5, 34], Operations: [] Exploring Operation: 33+2=35, Resulting Numbers: [5, 34, 35] Generated Node #2: [5, 34, 35] from Operation: 33+2=35 Current State: 27:[5, 34, 35], Operations: ['33+2=35'] Exploring Operation: 35/5=7, Resulting Numbers: [34, 7] Generated Node #3: [34, 7] from Operation: 35/5=7 Current State: 27:[34, 7], Operations: ['33+2=35', '35/5=7'] Exploring Operation: 34-7=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 98, 36, 51, 17 ]
28
[ "98-36=62", "51-17=34", "62-34=28" ]
Current State: 28:[98, 36, 51, 17], Operations: [] Exploring Operation: 98-36=62, Resulting Numbers: [51, 17, 62] Generated Node #2: [51, 17, 62] from Operation: 98-36=62 Current State: 28:[51, 17, 62], Operations: ['98-36=62'] Exploring Operation: 51-17=34, Resulting Numbers: [62, 34] Generated Node #3: [62, 34] from Operation: 51-17=34 Current State: 28:[62, 34], Operations: ['98-36=62', '51-17=34'] Exploring Operation: 62-34=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 20, 46, 51, 42 ]
17
[ "46-20=26", "51-42=9", "26-9=17" ]
Current State: 17:[20, 46, 51, 42], Operations: [] Exploring Operation: 46-20=26, Resulting Numbers: [51, 42, 26] Generated Node #2: [51, 42, 26] from Operation: 46-20=26 Current State: 17:[51, 42, 26], Operations: ['46-20=26'] Exploring Operation: 51-42=9, Resulting Numbers: [26, 9] Generated Node #3: [26, 9] from Operation: 51-42=9 Current State: 17:[26, 9], Operations: ['46-20=26', '51-42=9'] Exploring Operation: 26-9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 32, 66, 74, 79 ]
29
[ "66-32=34", "79-74=5", "34-5=29" ]
Current State: 29:[32, 66, 74, 79], Operations: [] Exploring Operation: 66-32=34, Resulting Numbers: [74, 79, 34] Generated Node #2: [74, 79, 34] from Operation: 66-32=34 Current State: 29:[74, 79, 34], Operations: ['66-32=34'] Exploring Operation: 79-74=5, Resulting Numbers: [34, 5] Generated Node #3: [34, 5] from Operation: 79-74=5 Current State: 29:[34, 5], Operations: ['66-32=34', '79-74=5'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 68, 35, 36, 52 ]
33
[ "68+36=104", "104/52=2", "35-2=33" ]
Current State: 33:[68, 35, 36, 52], Operations: [] Exploring Operation: 68+36=104, Resulting Numbers: [35, 52, 104] Generated Node #2: [35, 52, 104] from Operation: 68+36=104 Current State: 33:[35, 52, 104], Operations: ['68+36=104'] Exploring Operation: 104/52=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 104/52=2 Current State: 33:[35, 2], Operations: ['68+36=104', '104/52=2'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 77, 48, 40, 85 ]
43
[ "85-77=8", "40/8=5", "48-5=43" ]
Current State: 43:[77, 48, 40, 85], Operations: [] Exploring Operation: 85-77=8, Resulting Numbers: [48, 40, 8] Generated Node #2: [48, 40, 8] from Operation: 85-77=8 Current State: 43:[48, 40, 8], Operations: ['85-77=8'] Exploring Operation: 40/8=5, Resulting Numbers: [48, 5] Generated Node #3: [48, 5] from Operation: 40/8=5 Current State: 43:[48, 5], Operations: ['85-77=8', '40/8=5'] Exploring Operation: 48-5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 58, 40, 43, 80 ]
73
[ "58*80=4640", "4640/40=116", "116-43=73" ]
Current State: 73:[58, 40, 43, 80], Operations: [] Exploring Operation: 58*80=4640, Resulting Numbers: [40, 43, 4640] Generated Node #2: [40, 43, 4640] from Operation: 58*80=4640 Current State: 73:[40, 43, 4640], Operations: ['58*80=4640'] Exploring Operation: 4640/40=116, Resulting Numbers: [43, 116] Generated Node #3: [43, 116] from Operation: 4640/40=116 Current State: 73:[43, 116], Operations: ['58*80=4640', '4640/40=116'] Exploring Operation: 116-43=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 31, 5, 27, 57 ]
54
[ "5+57=62", "62/31=2", "27*2=54" ]
Current State: 54:[31, 5, 27, 57], Operations: [] Exploring Operation: 5+57=62, Resulting Numbers: [31, 27, 62] Generated Node #2: [31, 27, 62] from Operation: 5+57=62 Current State: 54:[31, 27, 62], Operations: ['5+57=62'] Exploring Operation: 62/31=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 62/31=2 Current State: 54:[27, 2], Operations: ['5+57=62', '62/31=2'] Exploring Operation: 27*2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 79, 50, 19, 93 ]
45
[ "79-50=29", "93-19=74", "74-29=45" ]
Current State: 45:[79, 50, 19, 93], Operations: [] Exploring Operation: 79-50=29, Resulting Numbers: [19, 93, 29] Generated Node #2: [19, 93, 29] from Operation: 79-50=29 Current State: 45:[19, 93, 29], Operations: ['79-50=29'] Exploring Operation: 93-19=74, Resulting Numbers: [29, 74] Generated Node #3: [29, 74] from Operation: 93-19=74 Current State: 45:[29, 74], Operations: ['79-50=29', '93-19=74'] Exploring Operation: 74-29=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 96, 91, 32, 75 ]
94
[ "91-75=16", "32/16=2", "96-2=94" ]
Current State: 94:[96, 91, 32, 75], Operations: [] Exploring Operation: 91-75=16, Resulting Numbers: [96, 32, 16] Generated Node #2: [96, 32, 16] from Operation: 91-75=16 Current State: 94:[96, 32, 16], Operations: ['91-75=16'] Exploring Operation: 32/16=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 32/16=2 Current State: 94:[96, 2], Operations: ['91-75=16', '32/16=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 58, 33, 88, 45 ]
48
[ "58+33=91", "88-45=43", "91-43=48" ]
Current State: 48:[58, 33, 88, 45], Operations: [] Exploring Operation: 58+33=91, Resulting Numbers: [88, 45, 91] Generated Node #2: [88, 45, 91] from Operation: 58+33=91 Current State: 48:[88, 45, 91], Operations: ['58+33=91'] Exploring Operation: 88-45=43, Resulting Numbers: [91, 43] Generated Node #3: [91, 43] from Operation: 88-45=43 Current State: 48:[91, 43], Operations: ['58+33=91', '88-45=43'] Exploring Operation: 91-43=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 43, 74, 36, 91 ]
62
[ "43+74=117", "91-36=55", "117-55=62" ]
Current State: 62:[43, 74, 36, 91], Operations: [] Exploring Operation: 43+74=117, Resulting Numbers: [36, 91, 117] Generated Node #2: [36, 91, 117] from Operation: 43+74=117 Current State: 62:[36, 91, 117], Operations: ['43+74=117'] Exploring Operation: 91-36=55, Resulting Numbers: [117, 55] Generated Node #3: [117, 55] from Operation: 91-36=55 Current State: 62:[117, 55], Operations: ['43+74=117', '91-36=55'] Exploring Operation: 117-55=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 28, 73, 36, 94 ]
29
[ "28+73=101", "36+94=130", "130-101=29" ]
Current State: 29:[28, 73, 36, 94], Operations: [] Exploring Operation: 28+73=101, Resulting Numbers: [36, 94, 101] Generated Node #2: [36, 94, 101] from Operation: 28+73=101 Current State: 29:[36, 94, 101], Operations: ['28+73=101'] Exploring Operation: 36+94=130, Resulting Numbers: [101, 130] Generated Node #3: [101, 130] from Operation: 36+94=130 Current State: 29:[101, 130], Operations: ['28+73=101', '36+94=130'] Exploring Operation: 130-101=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 78, 24, 48, 69 ]
36
[ "48+69=117", "24*117=2808", "2808/78=36" ]
Current State: 36:[78, 24, 48, 69], Operations: [] Exploring Operation: 48+69=117, Resulting Numbers: [78, 24, 117] Generated Node #2: [78, 24, 117] from Operation: 48+69=117 Current State: 36:[78, 24, 117], Operations: ['48+69=117'] Exploring Operation: 24*117=2808, Resulting Numbers: [78, 2808] Generated Node #3: [78, 2808] from Operation: 24*117=2808 Current State: 36:[78, 2808], Operations: ['48+69=117', '24*117=2808'] Exploring Operation: 2808/78=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 57, 65, 10, 49 ]
20
[ "65+49=114", "114/57=2", "10*2=20" ]
Current State: 20:[57, 65, 10, 49], Operations: [] Exploring Operation: 65+49=114, Resulting Numbers: [57, 10, 114] Generated Node #2: [57, 10, 114] from Operation: 65+49=114 Current State: 20:[57, 10, 114], Operations: ['65+49=114'] Exploring Operation: 114/57=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 114/57=2 Current State: 20:[10, 2], Operations: ['65+49=114', '114/57=2'] Exploring Operation: 10*2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 66, 45, 5, 63 ]
73
[ "45/5=9", "63/9=7", "66+7=73" ]
Current State: 73:[66, 45, 5, 63], Operations: [] Exploring Operation: 45/5=9, Resulting Numbers: [66, 63, 9] Generated Node #2: [66, 63, 9] from Operation: 45/5=9 Current State: 73:[66, 63, 9], Operations: ['45/5=9'] Exploring Operation: 63/9=7, Resulting Numbers: [66, 7] Generated Node #3: [66, 7] from Operation: 63/9=7 Current State: 73:[66, 7], Operations: ['45/5=9', '63/9=7'] Exploring Operation: 66+7=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 25, 70, 6, 19 ]
11
[ "25+70=95", "95/19=5", "6+5=11" ]
Current State: 11:[25, 70, 6, 19], Operations: [] Exploring Operation: 25+70=95, Resulting Numbers: [6, 19, 95] Generated Node #2: [6, 19, 95] from Operation: 25+70=95 Current State: 11:[6, 19, 95], Operations: ['25+70=95'] Exploring Operation: 95/19=5, Resulting Numbers: [6, 5] Generated Node #3: [6, 5] from Operation: 95/19=5 Current State: 11:[6, 5], Operations: ['25+70=95', '95/19=5'] Exploring Operation: 6+5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 66, 63, 87, 37 ]
53
[ "66-63=3", "87-37=50", "3+50=53" ]
Current State: 53:[66, 63, 87, 37], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [87, 37, 3] Generated Node #2: [87, 37, 3] from Operation: 66-63=3 Current State: 53:[87, 37, 3], Operations: ['66-63=3'] Exploring Operation: 87-37=50, Resulting Numbers: [3, 50] Generated Node #3: [3, 50] from Operation: 87-37=50 Current State: 53:[3, 50], Operations: ['66-63=3', '87-37=50'] Exploring Operation: 3+50=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 9, 78, 79, 77 ]
68
[ "77-9=68", "79-78=1", "68*1=68" ]
Current State: 68:[9, 78, 79, 77], Operations: [] Exploring Operation: 77-9=68, Resulting Numbers: [78, 79, 68] Generated Node #2: [78, 79, 68] from Operation: 77-9=68 Current State: 68:[78, 79, 68], Operations: ['77-9=68'] Exploring Operation: 79-78=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 79-78=1 Current State: 68:[68, 1], Operations: ['77-9=68', '79-78=1'] Exploring Operation: 68*1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 57, 57, 23, 4 ]
77
[ "57+23=80", "80/4=20", "57+20=77" ]
Current State: 77:[57, 57, 23, 4], Operations: [] Exploring Operation: 57+23=80, Resulting Numbers: [4, 80] Generated Node #2: [4, 80] from Operation: 57+23=80 Current State: 77:[4, 80], Operations: ['57+23=80'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,77 equal: Goal Reached Exploring Operation: 57+20=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 64, 81, 22, 94 ]
89
[ "81-64=17", "94-22=72", "17+72=89" ]
Current State: 89:[64, 81, 22, 94], Operations: [] Exploring Operation: 81-64=17, Resulting Numbers: [22, 94, 17] Generated Node #2: [22, 94, 17] from Operation: 81-64=17 Current State: 89:[22, 94, 17], Operations: ['81-64=17'] Exploring Operation: 94-22=72, Resulting Numbers: [17, 72] Generated Node #3: [17, 72] from Operation: 94-22=72 Current State: 89:[17, 72], Operations: ['81-64=17', '94-22=72'] Exploring Operation: 17+72=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 58, 39, 26, 8 ]
37
[ "58-39=19", "26-8=18", "19+18=37" ]
Current State: 37:[58, 39, 26, 8], Operations: [] Exploring Operation: 58-39=19, Resulting Numbers: [26, 8, 19] Generated Node #2: [26, 8, 19] from Operation: 58-39=19 Current State: 37:[26, 8, 19], Operations: ['58-39=19'] Exploring Operation: 26-8=18, Resulting Numbers: [19, 18] Generated Node #3: [19, 18] from Operation: 26-8=18 Current State: 37:[19, 18], Operations: ['58-39=19', '26-8=18'] Exploring Operation: 19+18=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 55, 96, 90, 32 ]
81
[ "96-55=41", "90+32=122", "122-41=81" ]
Current State: 81:[55, 96, 90, 32], Operations: [] Exploring Operation: 96-55=41, Resulting Numbers: [90, 32, 41] Generated Node #2: [90, 32, 41] from Operation: 96-55=41 Current State: 81:[90, 32, 41], Operations: ['96-55=41'] Exploring Operation: 90+32=122, Resulting Numbers: [41, 122] Generated Node #3: [41, 122] from Operation: 90+32=122 Current State: 81:[41, 122], Operations: ['96-55=41', '90+32=122'] Exploring Operation: 122-41=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 99, 71, 49, 3 ]
63
[ "99-71=28", "49-28=21", "3*21=63" ]
Current State: 63:[99, 71, 49, 3], Operations: [] Exploring Operation: 99-71=28, Resulting Numbers: [49, 3, 28] Generated Node #2: [49, 3, 28] from Operation: 99-71=28 Current State: 63:[49, 3, 28], Operations: ['99-71=28'] Exploring Operation: 49-28=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 49-28=21 Current State: 63:[3, 21], Operations: ['99-71=28', '49-28=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 64, 48, 87, 72 ]
97
[ "64+48=112", "87-72=15", "112-15=97" ]
Current State: 97:[64, 48, 87, 72], Operations: [] Exploring Operation: 64+48=112, Resulting Numbers: [87, 72, 112] Generated Node #2: [87, 72, 112] from Operation: 64+48=112 Current State: 97:[87, 72, 112], Operations: ['64+48=112'] Exploring Operation: 87-72=15, Resulting Numbers: [112, 15] Generated Node #3: [112, 15] from Operation: 87-72=15 Current State: 97:[112, 15], Operations: ['64+48=112', '87-72=15'] Exploring Operation: 112-15=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 93, 20, 20, 23 ]
11
[ "23-20=3", "93/3=31", "31-20=11" ]
Current State: 11:[93, 20, 20, 23], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [93, 3] Generated Node #2: [93, 3] from Operation: 23-20=3 Current State: 11:[93, 3], Operations: ['23-20=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,11 equal: Goal Reached Exploring Operation: 31-20=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 46, 11, 84, 33 ]
60
[ "46+11=57", "84+33=117", "117-57=60" ]
Current State: 60:[46, 11, 84, 33], Operations: [] Exploring Operation: 46+11=57, Resulting Numbers: [84, 33, 57] Generated Node #2: [84, 33, 57] from Operation: 46+11=57 Current State: 60:[84, 33, 57], Operations: ['46+11=57'] Exploring Operation: 84+33=117, Resulting Numbers: [57, 117] Generated Node #3: [57, 117] from Operation: 84+33=117 Current State: 60:[57, 117], Operations: ['46+11=57', '84+33=117'] Exploring Operation: 117-57=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 83, 51, 20, 1 ]
52
[ "83-51=32", "20*1=20", "32+20=52" ]
Current State: 52:[83, 51, 20, 1], Operations: [] Exploring Operation: 83-51=32, Resulting Numbers: [20, 1, 32] Generated Node #2: [20, 1, 32] from Operation: 83-51=32 Current State: 52:[20, 1, 32], Operations: ['83-51=32'] Exploring Operation: 20*1=20, Resulting Numbers: [32, 20] Generated Node #3: [32, 20] from Operation: 20*1=20 Current State: 52:[32, 20], Operations: ['83-51=32', '20*1=20'] Exploring Operation: 32+20=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 50, 18, 68, 14 ]
67
[ "18-14=4", "68/4=17", "50+17=67" ]
Current State: 67:[50, 18, 68, 14], Operations: [] Exploring Operation: 18-14=4, Resulting Numbers: [50, 68, 4] Generated Node #2: [50, 68, 4] from Operation: 18-14=4 Current State: 67:[50, 68, 4], Operations: ['18-14=4'] Exploring Operation: 68/4=17, Resulting Numbers: [50, 17] Generated Node #3: [50, 17] from Operation: 68/4=17 Current State: 67:[50, 17], Operations: ['18-14=4', '68/4=17'] Exploring Operation: 50+17=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 40, 96, 44, 78 ]
14
[ "40+96=136", "44+78=122", "136-122=14" ]
Current State: 14:[40, 96, 44, 78], Operations: [] Exploring Operation: 40+96=136, Resulting Numbers: [44, 78, 136] Generated Node #2: [44, 78, 136] from Operation: 40+96=136 Current State: 14:[44, 78, 136], Operations: ['40+96=136'] Exploring Operation: 44+78=122, Resulting Numbers: [136, 122] Generated Node #3: [136, 122] from Operation: 44+78=122 Current State: 14:[136, 122], Operations: ['40+96=136', '44+78=122'] Exploring Operation: 136-122=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 47, 8, 44, 34 ]
94
[ "47-44=3", "34*3=102", "102-8=94" ]
Current State: 94:[47, 8, 44, 34], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [8, 34, 3] Generated Node #2: [8, 34, 3] from Operation: 47-44=3 Current State: 94:[8, 34, 3], Operations: ['47-44=3'] Exploring Operation: 34*3=102, Resulting Numbers: [8, 102] Generated Node #3: [8, 102] from Operation: 34*3=102 Current State: 94:[8, 102], Operations: ['47-44=3', '34*3=102'] Exploring Operation: 102-8=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 50, 47, 84, 44 ]
42
[ "50+44=94", "47*84=3948", "3948/94=42" ]
Current State: 42:[50, 47, 84, 44], Operations: [] Exploring Operation: 50+44=94, Resulting Numbers: [47, 84, 94] Generated Node #2: [47, 84, 94] from Operation: 50+44=94 Current State: 42:[47, 84, 94], Operations: ['50+44=94'] Exploring Operation: 47*84=3948, Resulting Numbers: [94, 3948] Generated Node #3: [94, 3948] from Operation: 47*84=3948 Current State: 42:[94, 3948], Operations: ['50+44=94', '47*84=3948'] Exploring Operation: 3948/94=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 32, 58, 93, 12 ]
55
[ "58-32=26", "93-12=81", "81-26=55" ]
Current State: 55:[32, 58, 93, 12], Operations: [] Exploring Operation: 58-32=26, Resulting Numbers: [93, 12, 26] Generated Node #2: [93, 12, 26] from Operation: 58-32=26 Current State: 55:[93, 12, 26], Operations: ['58-32=26'] Exploring Operation: 93-12=81, Resulting Numbers: [26, 81] Generated Node #3: [26, 81] from Operation: 93-12=81 Current State: 55:[26, 81], Operations: ['58-32=26', '93-12=81'] Exploring Operation: 81-26=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 52, 30, 30, 12 ]
20
[ "52-30=22", "30+12=42", "42-22=20" ]
Current State: 20:[52, 30, 30, 12], Operations: [] Exploring Operation: 52-30=22, Resulting Numbers: [12, 22] Generated Node #2: [12, 22] from Operation: 52-30=22 Current State: 20:[12, 22], Operations: ['52-30=22'] Exploring Operation: 30+12=42, Resulting Numbers: [22, 42] Generated Node #3: [22, 42] from Operation: 30+12=42 Current State: 20:[22, 42], Operations: ['52-30=22', '30+12=42'] Exploring Operation: 42-22=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 83, 40, 81, 19 ]
42
[ "83-81=2", "40-19=21", "2*21=42" ]
Current State: 42:[83, 40, 81, 19], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [40, 19, 2] Generated Node #2: [40, 19, 2] from Operation: 83-81=2 Current State: 42:[40, 19, 2], Operations: ['83-81=2'] Exploring Operation: 40-19=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 40-19=21 Current State: 42:[2, 21], Operations: ['83-81=2', '40-19=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 13, 5, 89, 50 ]
21
[ "13+5=18", "89-50=39", "39-18=21" ]
Current State: 21:[13, 5, 89, 50], Operations: [] Exploring Operation: 13+5=18, Resulting Numbers: [89, 50, 18] Generated Node #2: [89, 50, 18] from Operation: 13+5=18 Current State: 21:[89, 50, 18], Operations: ['13+5=18'] Exploring Operation: 89-50=39, Resulting Numbers: [18, 39] Generated Node #3: [18, 39] from Operation: 89-50=39 Current State: 21:[18, 39], Operations: ['13+5=18', '89-50=39'] Exploring Operation: 39-18=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 7, 13, 72, 52 ]
11
[ "13*72=936", "936/52=18", "18-7=11" ]
Current State: 11:[7, 13, 72, 52], Operations: [] Exploring Operation: 13*72=936, Resulting Numbers: [7, 52, 936] Generated Node #2: [7, 52, 936] from Operation: 13*72=936 Current State: 11:[7, 52, 936], Operations: ['13*72=936'] Exploring Operation: 936/52=18, Resulting Numbers: [7, 18] Generated Node #3: [7, 18] from Operation: 936/52=18 Current State: 11:[7, 18], Operations: ['13*72=936', '936/52=18'] Exploring Operation: 18-7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 32, 56, 28, 7 ]
22
[ "32+56=88", "28/7=4", "88/4=22" ]
Current State: 22:[32, 56, 28, 7], Operations: [] Exploring Operation: 32+56=88, Resulting Numbers: [28, 7, 88] Generated Node #2: [28, 7, 88] from Operation: 32+56=88 Current State: 22:[28, 7, 88], Operations: ['32+56=88'] Exploring Operation: 28/7=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 28/7=4 Current State: 22:[88, 4], Operations: ['32+56=88', '28/7=4'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 33, 26, 6, 52 ]
42
[ "33+26=59", "59-52=7", "6*7=42" ]
Current State: 42:[33, 26, 6, 52], Operations: [] Exploring Operation: 33+26=59, Resulting Numbers: [6, 52, 59] Generated Node #2: [6, 52, 59] from Operation: 33+26=59 Current State: 42:[6, 52, 59], Operations: ['33+26=59'] Exploring Operation: 59-52=7, Resulting Numbers: [6, 7] Generated Node #3: [6, 7] from Operation: 59-52=7 Current State: 42:[6, 7], Operations: ['33+26=59', '59-52=7'] Exploring Operation: 6*7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 39, 65, 85 ]
97
[ "3*39=117", "85-65=20", "117-20=97" ]
Current State: 97:[3, 39, 65, 85], Operations: [] Exploring Operation: 3*39=117, Resulting Numbers: [65, 85, 117] Generated Node #2: [65, 85, 117] from Operation: 3*39=117 Current State: 97:[65, 85, 117], Operations: ['3*39=117'] Exploring Operation: 85-65=20, Resulting Numbers: [117, 20] Generated Node #3: [117, 20] from Operation: 85-65=20 Current State: 97:[117, 20], Operations: ['3*39=117', '85-65=20'] Exploring Operation: 117-20=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 51, 47, 83, 41 ]
56
[ "51+47=98", "83-41=42", "98-42=56" ]
Current State: 56:[51, 47, 83, 41], Operations: [] Exploring Operation: 51+47=98, Resulting Numbers: [83, 41, 98] Generated Node #2: [83, 41, 98] from Operation: 51+47=98 Current State: 56:[83, 41, 98], Operations: ['51+47=98'] Exploring Operation: 83-41=42, Resulting Numbers: [98, 42] Generated Node #3: [98, 42] from Operation: 83-41=42 Current State: 56:[98, 42], Operations: ['51+47=98', '83-41=42'] Exploring Operation: 98-42=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 94, 18, 57 ]
57
[ "2+94=96", "57-18=39", "96-39=57" ]
Current State: 57:[2, 94, 18, 57], Operations: [] Exploring Operation: 2+94=96, Resulting Numbers: [18, 57, 96] Generated Node #2: [18, 57, 96] from Operation: 2+94=96 Current State: 57:[18, 57, 96], Operations: ['2+94=96'] Exploring Operation: 57-18=39, Resulting Numbers: [96, 39] Generated Node #3: [96, 39] from Operation: 57-18=39 Current State: 57:[96, 39], Operations: ['2+94=96', '57-18=39'] Exploring Operation: 96-39=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 90, 14, 87, 57 ]
15
[ "90-87=3", "14*3=42", "57-42=15" ]
Current State: 15:[90, 14, 87, 57], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [14, 57, 3] Generated Node #2: [14, 57, 3] from Operation: 90-87=3 Current State: 15:[14, 57, 3], Operations: ['90-87=3'] Exploring Operation: 14*3=42, Resulting Numbers: [57, 42] Generated Node #3: [57, 42] from Operation: 14*3=42 Current State: 15:[57, 42], Operations: ['90-87=3', '14*3=42'] Exploring Operation: 57-42=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 19, 17, 95, 4 ]
89
[ "19-17=2", "95-4=91", "91-2=89" ]
Current State: 89:[19, 17, 95, 4], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [95, 4, 2] Generated Node #2: [95, 4, 2] from Operation: 19-17=2 Current State: 89:[95, 4, 2], Operations: ['19-17=2'] Exploring Operation: 95-4=91, Resulting Numbers: [2, 91] Generated Node #3: [2, 91] from Operation: 95-4=91 Current State: 89:[2, 91], Operations: ['19-17=2', '95-4=91'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 71, 52, 1, 77 ]
96
[ "71-52=19", "1*77=77", "19+77=96" ]
Current State: 96:[71, 52, 1, 77], Operations: [] Exploring Operation: 71-52=19, Resulting Numbers: [1, 77, 19] Generated Node #2: [1, 77, 19] from Operation: 71-52=19 Current State: 96:[1, 77, 19], Operations: ['71-52=19'] Exploring Operation: 1*77=77, Resulting Numbers: [19, 77] Generated Node #3: [19, 77] from Operation: 1*77=77 Current State: 96:[19, 77], Operations: ['71-52=19', '1*77=77'] Exploring Operation: 19+77=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 84, 62, 25, 66 ]
63
[ "84-62=22", "66-25=41", "22+41=63" ]
Current State: 63:[84, 62, 25, 66], Operations: [] Exploring Operation: 84-62=22, Resulting Numbers: [25, 66, 22] Generated Node #2: [25, 66, 22] from Operation: 84-62=22 Current State: 63:[25, 66, 22], Operations: ['84-62=22'] Exploring Operation: 66-25=41, Resulting Numbers: [22, 41] Generated Node #3: [22, 41] from Operation: 66-25=41 Current State: 63:[22, 41], Operations: ['84-62=22', '66-25=41'] Exploring Operation: 22+41=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 16, 93, 99, 5 ]
84
[ "16-5=11", "99/11=9", "93-9=84" ]
Current State: 84:[16, 93, 99, 5], Operations: [] Exploring Operation: 16-5=11, Resulting Numbers: [93, 99, 11] Generated Node #2: [93, 99, 11] from Operation: 16-5=11 Current State: 84:[93, 99, 11], Operations: ['16-5=11'] Exploring Operation: 99/11=9, Resulting Numbers: [93, 9] Generated Node #3: [93, 9] from Operation: 99/11=9 Current State: 84:[93, 9], Operations: ['16-5=11', '99/11=9'] Exploring Operation: 93-9=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4