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
[ 60, 11, 3, 98 ]
52
[ "60-11=49", "3+98=101", "101-49=52" ]
Current State: 52:[60, 11, 3, 98], Operations: [] Exploring Operation: 60-11=49, Resulting Numbers: [3, 98, 49] Generated Node #2: [3, 98, 49] from Operation: 60-11=49 Current State: 52:[3, 98, 49], Operations: ['60-11=49'] Exploring Operation: 3+98=101, Resulting Numbers: [49, 101] Generated Node #3: [49, 101] from Operation: 3+98=101 Current State: 52:[49, 101], Operations: ['60-11=49', '3+98=101'] Exploring Operation: 101-49=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 50, 81, 74, 55 ]
15
[ "50+55=105", "81-74=7", "105/7=15" ]
Current State: 15:[50, 81, 74, 55], Operations: [] Exploring Operation: 50+55=105, Resulting Numbers: [81, 74, 105] Generated Node #2: [81, 74, 105] from Operation: 50+55=105 Current State: 15:[81, 74, 105], Operations: ['50+55=105'] Exploring Operation: 81-74=7, Resulting Numbers: [105, 7] Generated Node #3: [105, 7] from Operation: 81-74=7 Current State: 15:[105, 7], Operations: ['50+55=105', '81-74=7'] Exploring Operation: 105/7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 12, 54, 2, 71 ]
23
[ "12/2=6", "71-54=17", "6+17=23" ]
Current State: 23:[12, 54, 2, 71], Operations: [] Exploring Operation: 12/2=6, Resulting Numbers: [54, 71, 6] Generated Node #2: [54, 71, 6] from Operation: 12/2=6 Current State: 23:[54, 71, 6], Operations: ['12/2=6'] Exploring Operation: 71-54=17, Resulting Numbers: [6, 17] Generated Node #3: [6, 17] from Operation: 71-54=17 Current State: 23:[6, 17], Operations: ['12/2=6', '71-54=17'] Exploring Operation: 6+17=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 83, 77, 78, 27 ]
58
[ "83-78=5", "27*5=135", "135-77=58" ]
Current State: 58:[83, 77, 78, 27], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [77, 27, 5] Generated Node #2: [77, 27, 5] from Operation: 83-78=5 Current State: 58:[77, 27, 5], Operations: ['83-78=5'] Exploring Operation: 27*5=135, Resulting Numbers: [77, 135] Generated Node #3: [77, 135] from Operation: 27*5=135 Current State: 58:[77, 135], Operations: ['83-78=5', '27*5=135'] Exploring Operation: 135-77=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 15, 22, 46, 75 ]
84
[ "15+22=37", "46+75=121", "121-37=84" ]
Current State: 84:[15, 22, 46, 75], Operations: [] Exploring Operation: 15+22=37, Resulting Numbers: [46, 75, 37] Generated Node #2: [46, 75, 37] from Operation: 15+22=37 Current State: 84:[46, 75, 37], Operations: ['15+22=37'] Exploring Operation: 46+75=121, Resulting Numbers: [37, 121] Generated Node #3: [37, 121] from Operation: 46+75=121 Current State: 84:[37, 121], Operations: ['15+22=37', '46+75=121'] Exploring Operation: 121-37=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 82, 97, 78, 99 ]
43
[ "99-97=2", "78/2=39", "82-39=43" ]
Current State: 43:[82, 97, 78, 99], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [82, 78, 2] Generated Node #2: [82, 78, 2] from Operation: 99-97=2 Current State: 43:[82, 78, 2], Operations: ['99-97=2'] Exploring Operation: 78/2=39, Resulting Numbers: [82, 39] Generated Node #3: [82, 39] from Operation: 78/2=39 Current State: 43:[82, 39], Operations: ['99-97=2', '78/2=39'] Exploring Operation: 82-39=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 35, 52, 65, 61 ]
21
[ "52-35=17", "65-61=4", "17+4=21" ]
Current State: 21:[35, 52, 65, 61], Operations: [] Exploring Operation: 52-35=17, Resulting Numbers: [65, 61, 17] Generated Node #2: [65, 61, 17] from Operation: 52-35=17 Current State: 21:[65, 61, 17], Operations: ['52-35=17'] Exploring Operation: 65-61=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 65-61=4 Current State: 21:[17, 4], Operations: ['52-35=17', '65-61=4'] Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 28, 56, 94, 69 ]
50
[ "56/28=2", "94-69=25", "2*25=50" ]
Current State: 50:[28, 56, 94, 69], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [94, 69, 2] Generated Node #2: [94, 69, 2] from Operation: 56/28=2 Current State: 50:[94, 69, 2], Operations: ['56/28=2'] Exploring Operation: 94-69=25, Resulting Numbers: [2, 25] Generated Node #3: [2, 25] from Operation: 94-69=25 Current State: 50:[2, 25], Operations: ['56/28=2', '94-69=25'] Exploring Operation: 2*25=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 88, 87, 45, 10 ]
36
[ "88-87=1", "45-10=35", "1+35=36" ]
Current State: 36:[88, 87, 45, 10], Operations: [] Exploring Operation: 88-87=1, Resulting Numbers: [45, 10, 1] Generated Node #2: [45, 10, 1] from Operation: 88-87=1 Current State: 36:[45, 10, 1], Operations: ['88-87=1'] Exploring Operation: 45-10=35, Resulting Numbers: [1, 35] Generated Node #3: [1, 35] from Operation: 45-10=35 Current State: 36:[1, 35], Operations: ['88-87=1', '45-10=35'] Exploring Operation: 1+35=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 37, 49, 39, 78 ]
47
[ "37+49=86", "78-39=39", "86-39=47" ]
Current State: 47:[37, 49, 39, 78], Operations: [] Exploring Operation: 37+49=86, Resulting Numbers: [39, 78, 86] Generated Node #2: [39, 78, 86] from Operation: 37+49=86 Current State: 47:[39, 78, 86], Operations: ['37+49=86'] Exploring Operation: 78-39=39, Resulting Numbers: [86, 39] Generated Node #3: [86, 39] from Operation: 78-39=39 Current State: 47:[86, 39], Operations: ['37+49=86', '78-39=39'] Exploring Operation: 86-39=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 82, 92, 61, 82 ]
11
[ "92-82=10", "82-61=21", "21-10=11" ]
Current State: 11:[82, 92, 61, 82], Operations: [] Exploring Operation: 92-82=10, Resulting Numbers: [61, 10] Generated Node #2: [61, 10] from Operation: 92-82=10 Current State: 11:[61, 10], Operations: ['92-82=10'] Exploring Operation: 82-61=21, Resulting Numbers: [10, 21] Generated Node #3: [10, 21] from Operation: 82-61=21 Current State: 11:[10, 21], Operations: ['92-82=10', '82-61=21'] Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 80, 59, 26, 55 ]
59
[ "80-26=54", "55-54=1", "59*1=59" ]
Current State: 59:[80, 59, 26, 55], Operations: [] Exploring Operation: 80-26=54, Resulting Numbers: [59, 55, 54] Generated Node #2: [59, 55, 54] from Operation: 80-26=54 Current State: 59:[59, 55, 54], Operations: ['80-26=54'] Exploring Operation: 55-54=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 55-54=1 Current State: 59:[59, 1], Operations: ['80-26=54', '55-54=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 29, 70, 39, 8 ]
56
[ "39-29=10", "70*8=560", "560/10=56" ]
Current State: 56:[29, 70, 39, 8], Operations: [] Exploring Operation: 39-29=10, Resulting Numbers: [70, 8, 10] Generated Node #2: [70, 8, 10] from Operation: 39-29=10 Current State: 56:[70, 8, 10], Operations: ['39-29=10'] Exploring Operation: 70*8=560, Resulting Numbers: [10, 560] Generated Node #3: [10, 560] from Operation: 70*8=560 Current State: 56:[10, 560], Operations: ['39-29=10', '70*8=560'] Exploring Operation: 560/10=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 18, 42, 11, 64 ]
99
[ "42-18=24", "11+64=75", "24+75=99" ]
Current State: 99:[18, 42, 11, 64], Operations: [] Exploring Operation: 42-18=24, Resulting Numbers: [11, 64, 24] Generated Node #2: [11, 64, 24] from Operation: 42-18=24 Current State: 99:[11, 64, 24], Operations: ['42-18=24'] Exploring Operation: 11+64=75, Resulting Numbers: [24, 75] Generated Node #3: [24, 75] from Operation: 11+64=75 Current State: 99:[24, 75], Operations: ['42-18=24', '11+64=75'] Exploring Operation: 24+75=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 62, 46, 36, 30 ]
18
[ "62+46=108", "36-30=6", "108/6=18" ]
Current State: 18:[62, 46, 36, 30], Operations: [] Exploring Operation: 62+46=108, Resulting Numbers: [36, 30, 108] Generated Node #2: [36, 30, 108] from Operation: 62+46=108 Current State: 18:[36, 30, 108], Operations: ['62+46=108'] Exploring Operation: 36-30=6, Resulting Numbers: [108, 6] Generated Node #3: [108, 6] from Operation: 36-30=6 Current State: 18:[108, 6], Operations: ['62+46=108', '36-30=6'] Exploring Operation: 108/6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 64, 56, 61, 2 ]
31
[ "64-61=3", "56/2=28", "3+28=31" ]
Current State: 31:[64, 56, 61, 2], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [56, 2, 3] Generated Node #2: [56, 2, 3] from Operation: 64-61=3 Current State: 31:[56, 2, 3], Operations: ['64-61=3'] Exploring Operation: 56/2=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 56/2=28 Current State: 31:[3, 28], Operations: ['64-61=3', '56/2=28'] Exploring Operation: 3+28=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 89, 44, 24, 61 ]
82
[ "89-44=45", "61-24=37", "45+37=82" ]
Current State: 82:[89, 44, 24, 61], Operations: [] Exploring Operation: 89-44=45, Resulting Numbers: [24, 61, 45] Generated Node #2: [24, 61, 45] from Operation: 89-44=45 Current State: 82:[24, 61, 45], Operations: ['89-44=45'] Exploring Operation: 61-24=37, Resulting Numbers: [45, 37] Generated Node #3: [45, 37] from Operation: 61-24=37 Current State: 82:[45, 37], Operations: ['89-44=45', '61-24=37'] Exploring Operation: 45+37=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 98, 40, 48, 24 ]
94
[ "48-40=8", "24*8=192", "192-98=94" ]
Current State: 94:[98, 40, 48, 24], Operations: [] Exploring Operation: 48-40=8, Resulting Numbers: [98, 24, 8] Generated Node #2: [98, 24, 8] from Operation: 48-40=8 Current State: 94:[98, 24, 8], Operations: ['48-40=8'] Exploring Operation: 24*8=192, Resulting Numbers: [98, 192] Generated Node #3: [98, 192] from Operation: 24*8=192 Current State: 94:[98, 192], Operations: ['48-40=8', '24*8=192'] Exploring Operation: 192-98=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 57, 5, 73, 33 ]
47
[ "73-57=16", "5*16=80", "80-33=47" ]
Current State: 47:[57, 5, 73, 33], Operations: [] Exploring Operation: 73-57=16, Resulting Numbers: [5, 33, 16] Generated Node #2: [5, 33, 16] from Operation: 73-57=16 Current State: 47:[5, 33, 16], Operations: ['73-57=16'] Exploring Operation: 5*16=80, Resulting Numbers: [33, 80] Generated Node #3: [33, 80] from Operation: 5*16=80 Current State: 47:[33, 80], Operations: ['73-57=16', '5*16=80'] Exploring Operation: 80-33=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 21, 68, 90, 32 ]
75
[ "68-21=47", "90+32=122", "122-47=75" ]
Current State: 75:[21, 68, 90, 32], Operations: [] Exploring Operation: 68-21=47, Resulting Numbers: [90, 32, 47] Generated Node #2: [90, 32, 47] from Operation: 68-21=47 Current State: 75:[90, 32, 47], Operations: ['68-21=47'] Exploring Operation: 90+32=122, Resulting Numbers: [47, 122] Generated Node #3: [47, 122] from Operation: 90+32=122 Current State: 75:[47, 122], Operations: ['68-21=47', '90+32=122'] Exploring Operation: 122-47=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 95, 39, 99, 97 ]
58
[ "95-39=56", "99-97=2", "56+2=58" ]
Current State: 58:[95, 39, 99, 97], Operations: [] Exploring Operation: 95-39=56, Resulting Numbers: [99, 97, 56] Generated Node #2: [99, 97, 56] from Operation: 95-39=56 Current State: 58:[99, 97, 56], Operations: ['95-39=56'] Exploring Operation: 99-97=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 99-97=2 Current State: 58:[56, 2], Operations: ['95-39=56', '99-97=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 48, 3, 4, 88 ]
26
[ "48/3=16", "88+16=104", "104/4=26" ]
Current State: 26:[48, 3, 4, 88], Operations: [] Exploring Operation: 48/3=16, Resulting Numbers: [4, 88, 16] Generated Node #2: [4, 88, 16] from Operation: 48/3=16 Current State: 26:[4, 88, 16], Operations: ['48/3=16'] Exploring Operation: 88+16=104, Resulting Numbers: [4, 104] Generated Node #3: [4, 104] from Operation: 88+16=104 Current State: 26:[4, 104], Operations: ['48/3=16', '88+16=104'] Exploring Operation: 104/4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 26, 21, 63, 98 ]
24
[ "98-26=72", "63/21=3", "72/3=24" ]
Current State: 24:[26, 21, 63, 98], Operations: [] Exploring Operation: 98-26=72, Resulting Numbers: [21, 63, 72] Generated Node #2: [21, 63, 72] from Operation: 98-26=72 Current State: 24:[21, 63, 72], Operations: ['98-26=72'] Exploring Operation: 63/21=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 63/21=3 Current State: 24:[72, 3], Operations: ['98-26=72', '63/21=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 36, 1, 4, 31 ]
89
[ "36-1=35", "4*31=124", "124-35=89" ]
Current State: 89:[36, 1, 4, 31], Operations: [] Exploring Operation: 36-1=35, Resulting Numbers: [4, 31, 35] Generated Node #2: [4, 31, 35] from Operation: 36-1=35 Current State: 89:[4, 31, 35], Operations: ['36-1=35'] Exploring Operation: 4*31=124, Resulting Numbers: [35, 124] Generated Node #3: [35, 124] from Operation: 4*31=124 Current State: 89:[35, 124], Operations: ['36-1=35', '4*31=124'] Exploring Operation: 124-35=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 90, 19, 14, 10 ]
69
[ "90-19=71", "14*10=140", "140-71=69" ]
Current State: 69:[90, 19, 14, 10], Operations: [] Exploring Operation: 90-19=71, Resulting Numbers: [14, 10, 71] Generated Node #2: [14, 10, 71] from Operation: 90-19=71 Current State: 69:[14, 10, 71], Operations: ['90-19=71'] Exploring Operation: 14*10=140, Resulting Numbers: [71, 140] Generated Node #3: [71, 140] from Operation: 14*10=140 Current State: 69:[71, 140], Operations: ['90-19=71', '14*10=140'] Exploring Operation: 140-71=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 30, 34, 3, 36 ]
80
[ "30/3=10", "34+36=70", "10+70=80" ]
Current State: 80:[30, 34, 3, 36], Operations: [] Exploring Operation: 30/3=10, Resulting Numbers: [34, 36, 10] Generated Node #2: [34, 36, 10] from Operation: 30/3=10 Current State: 80:[34, 36, 10], Operations: ['30/3=10'] Exploring Operation: 34+36=70, Resulting Numbers: [10, 70] Generated Node #3: [10, 70] from Operation: 34+36=70 Current State: 80:[10, 70], Operations: ['30/3=10', '34+36=70'] Exploring Operation: 10+70=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 13, 6, 83, 6 ]
34
[ "83-13=70", "6*6=36", "70-36=34" ]
Current State: 34:[13, 6, 83, 6], Operations: [] Exploring Operation: 83-13=70, Resulting Numbers: [6, 6, 70] Generated Node #2: [6, 6, 70] from Operation: 83-13=70 Current State: 34:[6, 6, 70], Operations: ['83-13=70'] Exploring Operation: 6*6=36, Resulting Numbers: [70, 36] Generated Node #3: [70, 36] from Operation: 6*6=36 Current State: 34:[70, 36], Operations: ['83-13=70', '6*6=36'] Exploring Operation: 70-36=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 56, 68, 22, 10 ]
20
[ "68-56=12", "22+10=32", "32-12=20" ]
Current State: 20:[56, 68, 22, 10], Operations: [] Exploring Operation: 68-56=12, Resulting Numbers: [22, 10, 12] Generated Node #2: [22, 10, 12] from Operation: 68-56=12 Current State: 20:[22, 10, 12], Operations: ['68-56=12'] Exploring Operation: 22+10=32, Resulting Numbers: [12, 32] Generated Node #3: [12, 32] from Operation: 22+10=32 Current State: 20:[12, 32], Operations: ['68-56=12', '22+10=32'] Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 75, 86, 40, 23 ]
81
[ "75+40=115", "115/23=5", "86-5=81" ]
Current State: 81:[75, 86, 40, 23], Operations: [] Exploring Operation: 75+40=115, Resulting Numbers: [86, 23, 115] Generated Node #2: [86, 23, 115] from Operation: 75+40=115 Current State: 81:[86, 23, 115], Operations: ['75+40=115'] Exploring Operation: 115/23=5, Resulting Numbers: [86, 5] Generated Node #3: [86, 5] from Operation: 115/23=5 Current State: 81:[86, 5], Operations: ['75+40=115', '115/23=5'] Exploring Operation: 86-5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 9, 57, 20, 43 ]
43
[ "9+57=66", "43-20=23", "66-23=43" ]
Current State: 43:[9, 57, 20, 43], Operations: [] Exploring Operation: 9+57=66, Resulting Numbers: [20, 43, 66] Generated Node #2: [20, 43, 66] from Operation: 9+57=66 Current State: 43:[20, 43, 66], Operations: ['9+57=66'] Exploring Operation: 43-20=23, Resulting Numbers: [66, 23] Generated Node #3: [66, 23] from Operation: 43-20=23 Current State: 43:[66, 23], Operations: ['9+57=66', '43-20=23'] Exploring Operation: 66-23=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 26, 83, 56, 42 ]
76
[ "83-26=57", "56*57=3192", "3192/42=76" ]
Current State: 76:[26, 83, 56, 42], Operations: [] Exploring Operation: 83-26=57, Resulting Numbers: [56, 42, 57] Generated Node #2: [56, 42, 57] from Operation: 83-26=57 Current State: 76:[56, 42, 57], Operations: ['83-26=57'] Exploring Operation: 56*57=3192, Resulting Numbers: [42, 3192] Generated Node #3: [42, 3192] from Operation: 56*57=3192 Current State: 76:[42, 3192], Operations: ['83-26=57', '56*57=3192'] Exploring Operation: 3192/42=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 51, 14, 12 ]
76
[ "2*51=102", "14+12=26", "102-26=76" ]
Current State: 76:[2, 51, 14, 12], Operations: [] Exploring Operation: 2*51=102, Resulting Numbers: [14, 12, 102] Generated Node #2: [14, 12, 102] from Operation: 2*51=102 Current State: 76:[14, 12, 102], Operations: ['2*51=102'] Exploring Operation: 14+12=26, Resulting Numbers: [102, 26] Generated Node #3: [102, 26] from Operation: 14+12=26 Current State: 76:[102, 26], Operations: ['2*51=102', '14+12=26'] Exploring Operation: 102-26=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 45, 29, 46, 93 ]
63
[ "45-29=16", "93-46=47", "16+47=63" ]
Current State: 63:[45, 29, 46, 93], Operations: [] Exploring Operation: 45-29=16, Resulting Numbers: [46, 93, 16] Generated Node #2: [46, 93, 16] from Operation: 45-29=16 Current State: 63:[46, 93, 16], Operations: ['45-29=16'] Exploring Operation: 93-46=47, Resulting Numbers: [16, 47] Generated Node #3: [16, 47] from Operation: 93-46=47 Current State: 63:[16, 47], Operations: ['45-29=16', '93-46=47'] Exploring Operation: 16+47=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 59, 39, 50, 16 ]
54
[ "59-39=20", "50-16=34", "20+34=54" ]
Current State: 54:[59, 39, 50, 16], Operations: [] Exploring Operation: 59-39=20, Resulting Numbers: [50, 16, 20] Generated Node #2: [50, 16, 20] from Operation: 59-39=20 Current State: 54:[50, 16, 20], Operations: ['59-39=20'] Exploring Operation: 50-16=34, Resulting Numbers: [20, 34] Generated Node #3: [20, 34] from Operation: 50-16=34 Current State: 54:[20, 34], Operations: ['59-39=20', '50-16=34'] Exploring Operation: 20+34=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 53, 23, 70, 5 ]
45
[ "53-23=30", "70+5=75", "75-30=45" ]
Current State: 45:[53, 23, 70, 5], Operations: [] Exploring Operation: 53-23=30, Resulting Numbers: [70, 5, 30] Generated Node #2: [70, 5, 30] from Operation: 53-23=30 Current State: 45:[70, 5, 30], Operations: ['53-23=30'] Exploring Operation: 70+5=75, Resulting Numbers: [30, 75] Generated Node #3: [30, 75] from Operation: 70+5=75 Current State: 45:[30, 75], Operations: ['53-23=30', '70+5=75'] Exploring Operation: 75-30=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 90, 61, 95, 94 ]
31
[ "95-90=5", "61+94=155", "155/5=31" ]
Current State: 31:[90, 61, 95, 94], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [61, 94, 5] Generated Node #2: [61, 94, 5] from Operation: 95-90=5 Current State: 31:[61, 94, 5], Operations: ['95-90=5'] Exploring Operation: 61+94=155, Resulting Numbers: [5, 155] Generated Node #3: [5, 155] from Operation: 61+94=155 Current State: 31:[5, 155], Operations: ['95-90=5', '61+94=155'] Exploring Operation: 155/5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 15, 5, 57, 18 ]
18
[ "15+57=72", "5*18=90", "90-72=18" ]
Current State: 18:[15, 5, 57, 18], Operations: [] Exploring Operation: 15+57=72, Resulting Numbers: [5, 18, 72] Generated Node #2: [5, 18, 72] from Operation: 15+57=72 Current State: 18:[5, 18, 72], Operations: ['15+57=72'] Exploring Operation: 5*18=90, Resulting Numbers: [72, 90] Generated Node #3: [72, 90] from Operation: 5*18=90 Current State: 18:[72, 90], Operations: ['15+57=72', '5*18=90'] Exploring Operation: 90-72=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 97, 91, 96, 70 ]
32
[ "97-91=6", "96-70=26", "6+26=32" ]
Current State: 32:[97, 91, 96, 70], Operations: [] Exploring Operation: 97-91=6, Resulting Numbers: [96, 70, 6] Generated Node #2: [96, 70, 6] from Operation: 97-91=6 Current State: 32:[96, 70, 6], Operations: ['97-91=6'] Exploring Operation: 96-70=26, Resulting Numbers: [6, 26] Generated Node #3: [6, 26] from Operation: 96-70=26 Current State: 32:[6, 26], Operations: ['97-91=6', '96-70=26'] Exploring Operation: 6+26=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 39, 60, 73, 70 ]
67
[ "73-60=13", "39/13=3", "70-3=67" ]
Current State: 67:[39, 60, 73, 70], Operations: [] Exploring Operation: 73-60=13, Resulting Numbers: [39, 70, 13] Generated Node #2: [39, 70, 13] from Operation: 73-60=13 Current State: 67:[39, 70, 13], Operations: ['73-60=13'] Exploring Operation: 39/13=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 39/13=3 Current State: 67:[70, 3], Operations: ['73-60=13', '39/13=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 77, 35, 83, 58 ]
99
[ "77-35=42", "83+58=141", "141-42=99" ]
Current State: 99:[77, 35, 83, 58], Operations: [] Exploring Operation: 77-35=42, Resulting Numbers: [83, 58, 42] Generated Node #2: [83, 58, 42] from Operation: 77-35=42 Current State: 99:[83, 58, 42], Operations: ['77-35=42'] Exploring Operation: 83+58=141, Resulting Numbers: [42, 141] Generated Node #3: [42, 141] from Operation: 83+58=141 Current State: 99:[42, 141], Operations: ['77-35=42', '83+58=141'] Exploring Operation: 141-42=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 49, 2, 37, 24 ]
23
[ "37-24=13", "2*13=26", "49-26=23" ]
Current State: 23:[49, 2, 37, 24], Operations: [] Exploring Operation: 37-24=13, Resulting Numbers: [49, 2, 13] Generated Node #2: [49, 2, 13] from Operation: 37-24=13 Current State: 23:[49, 2, 13], Operations: ['37-24=13'] Exploring Operation: 2*13=26, Resulting Numbers: [49, 26] Generated Node #3: [49, 26] from Operation: 2*13=26 Current State: 23:[49, 26], Operations: ['37-24=13', '2*13=26'] Exploring Operation: 49-26=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 23, 3, 36, 27 ]
96
[ "23+36=59", "59-27=32", "3*32=96" ]
Current State: 96:[23, 3, 36, 27], Operations: [] Exploring Operation: 23+36=59, Resulting Numbers: [3, 27, 59] Generated Node #2: [3, 27, 59] from Operation: 23+36=59 Current State: 96:[3, 27, 59], Operations: ['23+36=59'] Exploring Operation: 59-27=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 59-27=32 Current State: 96:[3, 32], Operations: ['23+36=59', '59-27=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 3, 13, 6, 90 ]
58
[ "6/3=2", "90/2=45", "13+45=58" ]
Current State: 58:[3, 13, 6, 90], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [13, 90, 2] Generated Node #2: [13, 90, 2] from Operation: 6/3=2 Current State: 58:[13, 90, 2], Operations: ['6/3=2'] Exploring Operation: 90/2=45, Resulting Numbers: [13, 45] Generated Node #3: [13, 45] from Operation: 90/2=45 Current State: 58:[13, 45], Operations: ['6/3=2', '90/2=45'] Exploring Operation: 13+45=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 42, 9, 6, 44 ]
52
[ "44-42=2", "9*6=54", "54-2=52" ]
Current State: 52:[42, 9, 6, 44], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [9, 6, 2] Generated Node #2: [9, 6, 2] from Operation: 44-42=2 Current State: 52:[9, 6, 2], Operations: ['44-42=2'] Exploring Operation: 9*6=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 9*6=54 Current State: 52:[2, 54], Operations: ['44-42=2', '9*6=54'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 49, 8, 69, 11 ]
72
[ "69-49=20", "20-11=9", "8*9=72" ]
Current State: 72:[49, 8, 69, 11], Operations: [] Exploring Operation: 69-49=20, Resulting Numbers: [8, 11, 20] Generated Node #2: [8, 11, 20] from Operation: 69-49=20 Current State: 72:[8, 11, 20], Operations: ['69-49=20'] Exploring Operation: 20-11=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 20-11=9 Current State: 72:[8, 9], Operations: ['69-49=20', '20-11=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 2, 51, 36, 68 ]
50
[ "36*68=2448", "2448/51=48", "2+48=50" ]
Current State: 50:[2, 51, 36, 68], Operations: [] Exploring Operation: 36*68=2448, Resulting Numbers: [2, 51, 2448] Generated Node #2: [2, 51, 2448] from Operation: 36*68=2448 Current State: 50:[2, 51, 2448], Operations: ['36*68=2448'] Exploring Operation: 2448/51=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 2448/51=48 Current State: 50:[2, 48], Operations: ['36*68=2448', '2448/51=48'] Exploring Operation: 2+48=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 31, 32, 88, 62 ]
58
[ "62/31=2", "88-32=56", "2+56=58" ]
Current State: 58:[31, 32, 88, 62], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [32, 88, 2] Generated Node #2: [32, 88, 2] from Operation: 62/31=2 Current State: 58:[32, 88, 2], Operations: ['62/31=2'] Exploring Operation: 88-32=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 88-32=56 Current State: 58:[2, 56], Operations: ['62/31=2', '88-32=56'] Exploring Operation: 2+56=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 14, 17, 16, 84 ]
36
[ "17-14=3", "16*3=48", "84-48=36" ]
Current State: 36:[14, 17, 16, 84], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [16, 84, 3] Generated Node #2: [16, 84, 3] from Operation: 17-14=3 Current State: 36:[16, 84, 3], Operations: ['17-14=3'] Exploring Operation: 16*3=48, Resulting Numbers: [84, 48] Generated Node #3: [84, 48] from Operation: 16*3=48 Current State: 36:[84, 48], Operations: ['17-14=3', '16*3=48'] Exploring Operation: 84-48=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 81, 37, 38, 3 ]
78
[ "81-3=78", "38-37=1", "78*1=78" ]
Current State: 78:[81, 37, 38, 3], Operations: [] Exploring Operation: 81-3=78, Resulting Numbers: [37, 38, 78] Generated Node #2: [37, 38, 78] from Operation: 81-3=78 Current State: 78:[37, 38, 78], Operations: ['81-3=78'] Exploring Operation: 38-37=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 38-37=1 Current State: 78:[78, 1], Operations: ['81-3=78', '38-37=1'] Exploring Operation: 78*1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 35, 20, 71, 14 ]
21
[ "35*20=700", "700/14=50", "71-50=21" ]
Current State: 21:[35, 20, 71, 14], Operations: [] Exploring Operation: 35*20=700, Resulting Numbers: [71, 14, 700] Generated Node #2: [71, 14, 700] from Operation: 35*20=700 Current State: 21:[71, 14, 700], Operations: ['35*20=700'] Exploring Operation: 700/14=50, Resulting Numbers: [71, 50] Generated Node #3: [71, 50] from Operation: 700/14=50 Current State: 21:[71, 50], Operations: ['35*20=700', '700/14=50'] Exploring Operation: 71-50=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 72, 46, 64, 34 ]
58
[ "46-34=12", "72/12=6", "64-6=58" ]
Current State: 58:[72, 46, 64, 34], Operations: [] Exploring Operation: 46-34=12, Resulting Numbers: [72, 64, 12] Generated Node #2: [72, 64, 12] from Operation: 46-34=12 Current State: 58:[72, 64, 12], Operations: ['46-34=12'] Exploring Operation: 72/12=6, Resulting Numbers: [64, 6] Generated Node #3: [64, 6] from Operation: 72/12=6 Current State: 58:[64, 6], Operations: ['46-34=12', '72/12=6'] Exploring Operation: 64-6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 60, 83, 18, 3 ]
81
[ "60/3=20", "83+18=101", "101-20=81" ]
Current State: 81:[60, 83, 18, 3], Operations: [] Exploring Operation: 60/3=20, Resulting Numbers: [83, 18, 20] Generated Node #2: [83, 18, 20] from Operation: 60/3=20 Current State: 81:[83, 18, 20], Operations: ['60/3=20'] Exploring Operation: 83+18=101, Resulting Numbers: [20, 101] Generated Node #3: [20, 101] from Operation: 83+18=101 Current State: 81:[20, 101], Operations: ['60/3=20', '83+18=101'] Exploring Operation: 101-20=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 13, 93, 15, 39 ]
52
[ "13+93=106", "15+39=54", "106-54=52" ]
Current State: 52:[13, 93, 15, 39], Operations: [] Exploring Operation: 13+93=106, Resulting Numbers: [15, 39, 106] Generated Node #2: [15, 39, 106] from Operation: 13+93=106 Current State: 52:[15, 39, 106], Operations: ['13+93=106'] Exploring Operation: 15+39=54, Resulting Numbers: [106, 54] Generated Node #3: [106, 54] from Operation: 15+39=54 Current State: 52:[106, 54], Operations: ['13+93=106', '15+39=54'] Exploring Operation: 106-54=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 89, 94, 4, 93 ]
69
[ "89+94=183", "93+183=276", "276/4=69" ]
Current State: 69:[89, 94, 4, 93], Operations: [] Exploring Operation: 89+94=183, Resulting Numbers: [4, 93, 183] Generated Node #2: [4, 93, 183] from Operation: 89+94=183 Current State: 69:[4, 93, 183], Operations: ['89+94=183'] Exploring Operation: 93+183=276, Resulting Numbers: [4, 276] Generated Node #3: [4, 276] from Operation: 93+183=276 Current State: 69:[4, 276], Operations: ['89+94=183', '93+183=276'] Exploring Operation: 276/4=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 40, 43, 92, 51 ]
75
[ "43-40=3", "51/3=17", "92-17=75" ]
Current State: 75:[40, 43, 92, 51], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [92, 51, 3] Generated Node #2: [92, 51, 3] from Operation: 43-40=3 Current State: 75:[92, 51, 3], Operations: ['43-40=3'] Exploring Operation: 51/3=17, Resulting Numbers: [92, 17] Generated Node #3: [92, 17] from Operation: 51/3=17 Current State: 75:[92, 17], Operations: ['43-40=3', '51/3=17'] Exploring Operation: 92-17=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 70, 74, 8, 66 ]
64
[ "74-70=4", "8/4=2", "66-2=64" ]
Current State: 64:[70, 74, 8, 66], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [8, 66, 4] Generated Node #2: [8, 66, 4] from Operation: 74-70=4 Current State: 64:[8, 66, 4], Operations: ['74-70=4'] Exploring Operation: 8/4=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 8/4=2 Current State: 64:[66, 2], Operations: ['74-70=4', '8/4=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 19, 11, 84, 93 ]
80
[ "93-84=9", "11*9=99", "99-19=80" ]
Current State: 80:[19, 11, 84, 93], Operations: [] Exploring Operation: 93-84=9, Resulting Numbers: [19, 11, 9] Generated Node #2: [19, 11, 9] from Operation: 93-84=9 Current State: 80:[19, 11, 9], Operations: ['93-84=9'] Exploring Operation: 11*9=99, Resulting Numbers: [19, 99] Generated Node #3: [19, 99] from Operation: 11*9=99 Current State: 80:[19, 99], Operations: ['93-84=9', '11*9=99'] Exploring Operation: 99-19=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 62, 2, 28, 95 ]
19
[ "95-62=33", "28/2=14", "33-14=19" ]
Current State: 19:[62, 2, 28, 95], Operations: [] Exploring Operation: 95-62=33, Resulting Numbers: [2, 28, 33] Generated Node #2: [2, 28, 33] from Operation: 95-62=33 Current State: 19:[2, 28, 33], Operations: ['95-62=33'] Exploring Operation: 28/2=14, Resulting Numbers: [33, 14] Generated Node #3: [33, 14] from Operation: 28/2=14 Current State: 19:[33, 14], Operations: ['95-62=33', '28/2=14'] Exploring Operation: 33-14=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 26, 99, 90, 18 ]
72
[ "26-18=8", "99-90=9", "8*9=72" ]
Current State: 72:[26, 99, 90, 18], Operations: [] Exploring Operation: 26-18=8, Resulting Numbers: [99, 90, 8] Generated Node #2: [99, 90, 8] from Operation: 26-18=8 Current State: 72:[99, 90, 8], Operations: ['26-18=8'] Exploring Operation: 99-90=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 99-90=9 Current State: 72:[8, 9], Operations: ['26-18=8', '99-90=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 74, 99, 35, 74 ]
65
[ "74/74=1", "99-35=64", "1+64=65" ]
Current State: 65:[74, 99, 35, 74], Operations: [] Exploring Operation: 74/74=1, Resulting Numbers: [99, 35, 1] Generated Node #2: [99, 35, 1] from Operation: 74/74=1 Current State: 65:[99, 35, 1], Operations: ['74/74=1'] Exploring Operation: 99-35=64, Resulting Numbers: [1, 64] Generated Node #3: [1, 64] from Operation: 99-35=64 Current State: 65:[1, 64], Operations: ['74/74=1', '99-35=64'] Exploring Operation: 1+64=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 67, 81, 81, 2 ]
97
[ "81-67=14", "81+2=83", "14+83=97" ]
Current State: 97:[67, 81, 81, 2], Operations: [] Exploring Operation: 81-67=14, Resulting Numbers: [2, 14] Generated Node #2: [2, 14] from Operation: 81-67=14 Current State: 97:[2, 14], Operations: ['81-67=14'] Exploring Operation: 81+2=83, Resulting Numbers: [14, 83] Generated Node #3: [14, 83] from Operation: 81+2=83 Current State: 97:[14, 83], Operations: ['81-67=14', '81+2=83'] Exploring Operation: 14+83=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 35, 74, 61, 86 ]
84
[ "35+74=109", "86-61=25", "109-25=84" ]
Current State: 84:[35, 74, 61, 86], Operations: [] Exploring Operation: 35+74=109, Resulting Numbers: [61, 86, 109] Generated Node #2: [61, 86, 109] from Operation: 35+74=109 Current State: 84:[61, 86, 109], Operations: ['35+74=109'] Exploring Operation: 86-61=25, Resulting Numbers: [109, 25] Generated Node #3: [109, 25] from Operation: 86-61=25 Current State: 84:[109, 25], Operations: ['35+74=109', '86-61=25'] Exploring Operation: 109-25=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 2, 19, 41, 23 ]
97
[ "19+41=60", "2*60=120", "120-23=97" ]
Current State: 97:[2, 19, 41, 23], Operations: [] Exploring Operation: 19+41=60, Resulting Numbers: [2, 23, 60] Generated Node #2: [2, 23, 60] from Operation: 19+41=60 Current State: 97:[2, 23, 60], Operations: ['19+41=60'] Exploring Operation: 2*60=120, Resulting Numbers: [23, 120] Generated Node #3: [23, 120] from Operation: 2*60=120 Current State: 97:[23, 120], Operations: ['19+41=60', '2*60=120'] Exploring Operation: 120-23=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 41, 6, 76, 97 ]
73
[ "41*6=246", "76+97=173", "246-173=73" ]
Current State: 73:[41, 6, 76, 97], Operations: [] Exploring Operation: 41*6=246, Resulting Numbers: [76, 97, 246] Generated Node #2: [76, 97, 246] from Operation: 41*6=246 Current State: 73:[76, 97, 246], Operations: ['41*6=246'] Exploring Operation: 76+97=173, Resulting Numbers: [246, 173] Generated Node #3: [246, 173] from Operation: 76+97=173 Current State: 73:[246, 173], Operations: ['41*6=246', '76+97=173'] Exploring Operation: 246-173=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 43, 35, 42, 27 ]
93
[ "43+35=78", "42-27=15", "78+15=93" ]
Current State: 93:[43, 35, 42, 27], Operations: [] Exploring Operation: 43+35=78, Resulting Numbers: [42, 27, 78] Generated Node #2: [42, 27, 78] from Operation: 43+35=78 Current State: 93:[42, 27, 78], Operations: ['43+35=78'] Exploring Operation: 42-27=15, Resulting Numbers: [78, 15] Generated Node #3: [78, 15] from Operation: 42-27=15 Current State: 93:[78, 15], Operations: ['43+35=78', '42-27=15'] Exploring Operation: 78+15=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 21, 87, 46, 23 ]
68
[ "87-21=66", "46/23=2", "66+2=68" ]
Current State: 68:[21, 87, 46, 23], Operations: [] Exploring Operation: 87-21=66, Resulting Numbers: [46, 23, 66] Generated Node #2: [46, 23, 66] from Operation: 87-21=66 Current State: 68:[46, 23, 66], Operations: ['87-21=66'] Exploring Operation: 46/23=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 46/23=2 Current State: 68:[66, 2], Operations: ['87-21=66', '46/23=2'] Exploring Operation: 66+2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 4, 66, 87, 15 ]
93
[ "4*15=60", "66+87=153", "153-60=93" ]
Current State: 93:[4, 66, 87, 15], Operations: [] Exploring Operation: 4*15=60, Resulting Numbers: [66, 87, 60] Generated Node #2: [66, 87, 60] from Operation: 4*15=60 Current State: 93:[66, 87, 60], Operations: ['4*15=60'] Exploring Operation: 66+87=153, Resulting Numbers: [60, 153] Generated Node #3: [60, 153] from Operation: 66+87=153 Current State: 93:[60, 153], Operations: ['4*15=60', '66+87=153'] Exploring Operation: 153-60=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 50, 33, 63, 59 ]
13
[ "50-33=17", "63-59=4", "17-4=13" ]
Current State: 13:[50, 33, 63, 59], Operations: [] Exploring Operation: 50-33=17, Resulting Numbers: [63, 59, 17] Generated Node #2: [63, 59, 17] from Operation: 50-33=17 Current State: 13:[63, 59, 17], Operations: ['50-33=17'] Exploring Operation: 63-59=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 63-59=4 Current State: 13:[17, 4], Operations: ['50-33=17', '63-59=4'] Exploring Operation: 17-4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 97, 41, 76, 60 ]
72
[ "97-41=56", "76-60=16", "56+16=72" ]
Current State: 72:[97, 41, 76, 60], Operations: [] Exploring Operation: 97-41=56, Resulting Numbers: [76, 60, 56] Generated Node #2: [76, 60, 56] from Operation: 97-41=56 Current State: 72:[76, 60, 56], Operations: ['97-41=56'] Exploring Operation: 76-60=16, Resulting Numbers: [56, 16] Generated Node #3: [56, 16] from Operation: 76-60=16 Current State: 72:[56, 16], Operations: ['97-41=56', '76-60=16'] Exploring Operation: 56+16=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 99, 12, 16, 3 ]
90
[ "99+3=102", "12*16=192", "192-102=90" ]
Current State: 90:[99, 12, 16, 3], Operations: [] Exploring Operation: 99+3=102, Resulting Numbers: [12, 16, 102] Generated Node #2: [12, 16, 102] from Operation: 99+3=102 Current State: 90:[12, 16, 102], Operations: ['99+3=102'] Exploring Operation: 12*16=192, Resulting Numbers: [102, 192] Generated Node #3: [102, 192] from Operation: 12*16=192 Current State: 90:[102, 192], Operations: ['99+3=102', '12*16=192'] Exploring Operation: 192-102=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 1, 35, 58, 50 ]
28
[ "1+35=36", "58-50=8", "36-8=28" ]
Current State: 28:[1, 35, 58, 50], Operations: [] Exploring Operation: 1+35=36, Resulting Numbers: [58, 50, 36] Generated Node #2: [58, 50, 36] from Operation: 1+35=36 Current State: 28:[58, 50, 36], Operations: ['1+35=36'] Exploring Operation: 58-50=8, Resulting Numbers: [36, 8] Generated Node #3: [36, 8] from Operation: 58-50=8 Current State: 28:[36, 8], Operations: ['1+35=36', '58-50=8'] Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 87, 45, 79, 24 ]
97
[ "87-45=42", "79-24=55", "42+55=97" ]
Current State: 97:[87, 45, 79, 24], Operations: [] Exploring Operation: 87-45=42, Resulting Numbers: [79, 24, 42] Generated Node #2: [79, 24, 42] from Operation: 87-45=42 Current State: 97:[79, 24, 42], Operations: ['87-45=42'] Exploring Operation: 79-24=55, Resulting Numbers: [42, 55] Generated Node #3: [42, 55] from Operation: 79-24=55 Current State: 97:[42, 55], Operations: ['87-45=42', '79-24=55'] Exploring Operation: 42+55=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 52, 6, 43, 66 ]
44
[ "52-43=9", "6*66=396", "396/9=44" ]
Current State: 44:[52, 6, 43, 66], Operations: [] Exploring Operation: 52-43=9, Resulting Numbers: [6, 66, 9] Generated Node #2: [6, 66, 9] from Operation: 52-43=9 Current State: 44:[6, 66, 9], Operations: ['52-43=9'] Exploring Operation: 6*66=396, Resulting Numbers: [9, 396] Generated Node #3: [9, 396] from Operation: 6*66=396 Current State: 44:[9, 396], Operations: ['52-43=9', '6*66=396'] Exploring Operation: 396/9=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 33, 2, 48, 7 ]
20
[ "33+2=35", "48+7=55", "55-35=20" ]
Current State: 20:[33, 2, 48, 7], Operations: [] Exploring Operation: 33+2=35, Resulting Numbers: [48, 7, 35] Generated Node #2: [48, 7, 35] from Operation: 33+2=35 Current State: 20:[48, 7, 35], Operations: ['33+2=35'] Exploring Operation: 48+7=55, Resulting Numbers: [35, 55] Generated Node #3: [35, 55] from Operation: 48+7=55 Current State: 20:[35, 55], Operations: ['33+2=35', '48+7=55'] Exploring Operation: 55-35=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 59, 84, 80, 80 ]
84
[ "80-59=21", "84-80=4", "21*4=84" ]
Current State: 84:[59, 84, 80, 80], Operations: [] Exploring Operation: 80-59=21, Resulting Numbers: [84, 21] Generated Node #2: [84, 21] from Operation: 80-59=21 Current State: 84:[84, 21], Operations: ['80-59=21'] Exploring Operation: 84-80=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 84-80=4 Current State: 84:[21, 4], Operations: ['80-59=21', '84-80=4'] Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 31, 33, 29, 49 ]
76
[ "33-31=2", "29+49=78", "78-2=76" ]
Current State: 76:[31, 33, 29, 49], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [29, 49, 2] Generated Node #2: [29, 49, 2] from Operation: 33-31=2 Current State: 76:[29, 49, 2], Operations: ['33-31=2'] Exploring Operation: 29+49=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 29+49=78 Current State: 76:[2, 78], Operations: ['33-31=2', '29+49=78'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 3, 44, 19, 4 ]
24
[ "3+44=47", "19+4=23", "47-23=24" ]
Current State: 24:[3, 44, 19, 4], Operations: [] Exploring Operation: 3+44=47, Resulting Numbers: [19, 4, 47] Generated Node #2: [19, 4, 47] from Operation: 3+44=47 Current State: 24:[19, 4, 47], Operations: ['3+44=47'] Exploring Operation: 19+4=23, Resulting Numbers: [47, 23] Generated Node #3: [47, 23] from Operation: 19+4=23 Current State: 24:[47, 23], Operations: ['3+44=47', '19+4=23'] Exploring Operation: 47-23=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 30, 9, 11, 48 ]
21
[ "30+48=78", "9*11=99", "99-78=21" ]
Current State: 21:[30, 9, 11, 48], Operations: [] Exploring Operation: 30+48=78, Resulting Numbers: [9, 11, 78] Generated Node #2: [9, 11, 78] from Operation: 30+48=78 Current State: 21:[9, 11, 78], Operations: ['30+48=78'] Exploring Operation: 9*11=99, Resulting Numbers: [78, 99] Generated Node #3: [78, 99] from Operation: 9*11=99 Current State: 21:[78, 99], Operations: ['30+48=78', '9*11=99'] Exploring Operation: 99-78=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 43, 4, 96, 86 ]
12
[ "43*96=4128", "4*86=344", "4128/344=12" ]
Current State: 12:[43, 4, 96, 86], Operations: [] Exploring Operation: 43*96=4128, Resulting Numbers: [4, 86, 4128] Generated Node #2: [4, 86, 4128] from Operation: 43*96=4128 Current State: 12:[4, 86, 4128], Operations: ['43*96=4128'] Exploring Operation: 4*86=344, Resulting Numbers: [4128, 344] Generated Node #3: [4128, 344] from Operation: 4*86=344 Current State: 12:[4128, 344], Operations: ['43*96=4128', '4*86=344'] Exploring Operation: 4128/344=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 13, 76, 60, 80 ]
51
[ "13+76=89", "60+80=140", "140-89=51" ]
Current State: 51:[13, 76, 60, 80], Operations: [] Exploring Operation: 13+76=89, Resulting Numbers: [60, 80, 89] Generated Node #2: [60, 80, 89] from Operation: 13+76=89 Current State: 51:[60, 80, 89], Operations: ['13+76=89'] Exploring Operation: 60+80=140, Resulting Numbers: [89, 140] Generated Node #3: [89, 140] from Operation: 60+80=140 Current State: 51:[89, 140], Operations: ['13+76=89', '60+80=140'] Exploring Operation: 140-89=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 63, 12, 52, 2 ]
43
[ "52-12=40", "40/2=20", "63-20=43" ]
Current State: 43:[63, 12, 52, 2], Operations: [] Exploring Operation: 52-12=40, Resulting Numbers: [63, 2, 40] Generated Node #2: [63, 2, 40] from Operation: 52-12=40 Current State: 43:[63, 2, 40], Operations: ['52-12=40'] Exploring Operation: 40/2=20, Resulting Numbers: [63, 20] Generated Node #3: [63, 20] from Operation: 40/2=20 Current State: 43:[63, 20], Operations: ['52-12=40', '40/2=20'] Exploring Operation: 63-20=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 19, 65, 16, 84 ]
37
[ "19-16=3", "84/3=28", "65-28=37" ]
Current State: 37:[19, 65, 16, 84], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [65, 84, 3] Generated Node #2: [65, 84, 3] from Operation: 19-16=3 Current State: 37:[65, 84, 3], Operations: ['19-16=3'] Exploring Operation: 84/3=28, Resulting Numbers: [65, 28] Generated Node #3: [65, 28] from Operation: 84/3=28 Current State: 37:[65, 28], Operations: ['19-16=3', '84/3=28'] Exploring Operation: 65-28=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 82, 6, 63, 11 ]
48
[ "82-63=19", "19-11=8", "6*8=48" ]
Current State: 48:[82, 6, 63, 11], Operations: [] Exploring Operation: 82-63=19, Resulting Numbers: [6, 11, 19] Generated Node #2: [6, 11, 19] from Operation: 82-63=19 Current State: 48:[6, 11, 19], Operations: ['82-63=19'] Exploring Operation: 19-11=8, Resulting Numbers: [6, 8] Generated Node #3: [6, 8] from Operation: 19-11=8 Current State: 48:[6, 8], Operations: ['82-63=19', '19-11=8'] Exploring Operation: 6*8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 86, 30, 60, 72 ]
61
[ "30*60=1800", "1800/72=25", "86-25=61" ]
Current State: 61:[86, 30, 60, 72], Operations: [] Exploring Operation: 30*60=1800, Resulting Numbers: [86, 72, 1800] Generated Node #2: [86, 72, 1800] from Operation: 30*60=1800 Current State: 61:[86, 72, 1800], Operations: ['30*60=1800'] Exploring Operation: 1800/72=25, Resulting Numbers: [86, 25] Generated Node #3: [86, 25] from Operation: 1800/72=25 Current State: 61:[86, 25], Operations: ['30*60=1800', '1800/72=25'] Exploring Operation: 86-25=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 66, 88, 30, 55 ]
95
[ "88*30=2640", "2640/66=40", "55+40=95" ]
Current State: 95:[66, 88, 30, 55], Operations: [] Exploring Operation: 88*30=2640, Resulting Numbers: [66, 55, 2640] Generated Node #2: [66, 55, 2640] from Operation: 88*30=2640 Current State: 95:[66, 55, 2640], Operations: ['88*30=2640'] Exploring Operation: 2640/66=40, Resulting Numbers: [55, 40] Generated Node #3: [55, 40] from Operation: 2640/66=40 Current State: 95:[55, 40], Operations: ['88*30=2640', '2640/66=40'] Exploring Operation: 55+40=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 20, 51, 76, 2 ]
66
[ "20+51=71", "2*71=142", "142-76=66" ]
Current State: 66:[20, 51, 76, 2], Operations: [] Exploring Operation: 20+51=71, Resulting Numbers: [76, 2, 71] Generated Node #2: [76, 2, 71] from Operation: 20+51=71 Current State: 66:[76, 2, 71], Operations: ['20+51=71'] Exploring Operation: 2*71=142, Resulting Numbers: [76, 142] Generated Node #3: [76, 142] from Operation: 2*71=142 Current State: 66:[76, 142], Operations: ['20+51=71', '2*71=142'] Exploring Operation: 142-76=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 74, 90, 6, 51 ]
76
[ "51-6=45", "90/45=2", "74+2=76" ]
Current State: 76:[74, 90, 6, 51], Operations: [] Exploring Operation: 51-6=45, Resulting Numbers: [74, 90, 45] Generated Node #2: [74, 90, 45] from Operation: 51-6=45 Current State: 76:[74, 90, 45], Operations: ['51-6=45'] Exploring Operation: 90/45=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 90/45=2 Current State: 76:[74, 2], Operations: ['51-6=45', '90/45=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 65, 54, 67, 82 ]
56
[ "67-65=2", "82-54=28", "2*28=56" ]
Current State: 56:[65, 54, 67, 82], Operations: [] Exploring Operation: 67-65=2, Resulting Numbers: [54, 82, 2] Generated Node #2: [54, 82, 2] from Operation: 67-65=2 Current State: 56:[54, 82, 2], Operations: ['67-65=2'] Exploring Operation: 82-54=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 82-54=28 Current State: 56:[2, 28], Operations: ['67-65=2', '82-54=28'] Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 15, 71, 41, 57 ]
59
[ "71-41=30", "30/15=2", "57+2=59" ]
Current State: 59:[15, 71, 41, 57], Operations: [] Exploring Operation: 71-41=30, Resulting Numbers: [15, 57, 30] Generated Node #2: [15, 57, 30] from Operation: 71-41=30 Current State: 59:[15, 57, 30], Operations: ['71-41=30'] Exploring Operation: 30/15=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 30/15=2 Current State: 59:[57, 2], Operations: ['71-41=30', '30/15=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 76, 1, 71, 95 ]
52
[ "76*1=76", "95-71=24", "76-24=52" ]
Current State: 52:[76, 1, 71, 95], Operations: [] Exploring Operation: 76*1=76, Resulting Numbers: [71, 95, 76] Generated Node #2: [71, 95, 76] from Operation: 76*1=76 Current State: 52:[71, 95, 76], Operations: ['76*1=76'] Exploring Operation: 95-71=24, Resulting Numbers: [76, 24] Generated Node #3: [76, 24] from Operation: 95-71=24 Current State: 52:[76, 24], Operations: ['76*1=76', '95-71=24'] Exploring Operation: 76-24=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 80, 17, 2, 35 ]
73
[ "80-35=45", "2*45=90", "90-17=73" ]
Current State: 73:[80, 17, 2, 35], Operations: [] Exploring Operation: 80-35=45, Resulting Numbers: [17, 2, 45] Generated Node #2: [17, 2, 45] from Operation: 80-35=45 Current State: 73:[17, 2, 45], Operations: ['80-35=45'] Exploring Operation: 2*45=90, Resulting Numbers: [17, 90] Generated Node #3: [17, 90] from Operation: 2*45=90 Current State: 73:[17, 90], Operations: ['80-35=45', '2*45=90'] Exploring Operation: 90-17=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 39, 1, 40, 73 ]
73
[ "39+1=40", "40+73=113", "113-40=73" ]
Current State: 73:[39, 1, 40, 73], Operations: [] Exploring Operation: 39+1=40, Resulting Numbers: [40, 73, 40] Generated Node #2: [40, 73, 40] from Operation: 39+1=40 Current State: 73:[40, 73, 40], Operations: ['39+1=40'] Exploring Operation: 40+73=113, Resulting Numbers: [113] 113,73 equal: Goal Reached Exploring Operation: 113-40=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 9, 5, 60, 43 ]
21
[ "9-5=4", "60-43=17", "4+17=21" ]
Current State: 21:[9, 5, 60, 43], Operations: [] Exploring Operation: 9-5=4, Resulting Numbers: [60, 43, 4] Generated Node #2: [60, 43, 4] from Operation: 9-5=4 Current State: 21:[60, 43, 4], Operations: ['9-5=4'] Exploring Operation: 60-43=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 60-43=17 Current State: 21:[4, 17], Operations: ['9-5=4', '60-43=17'] Exploring Operation: 4+17=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 12, 49, 89, 2 ]
92
[ "89-49=40", "2*40=80", "12+80=92" ]
Current State: 92:[12, 49, 89, 2], Operations: [] Exploring Operation: 89-49=40, Resulting Numbers: [12, 2, 40] Generated Node #2: [12, 2, 40] from Operation: 89-49=40 Current State: 92:[12, 2, 40], Operations: ['89-49=40'] Exploring Operation: 2*40=80, Resulting Numbers: [12, 80] Generated Node #3: [12, 80] from Operation: 2*40=80 Current State: 92:[12, 80], Operations: ['89-49=40', '2*40=80'] Exploring Operation: 12+80=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 89, 53, 50, 63 ]
78
[ "89-63=26", "53-50=3", "26*3=78" ]
Current State: 78:[89, 53, 50, 63], Operations: [] Exploring Operation: 89-63=26, Resulting Numbers: [53, 50, 26] Generated Node #2: [53, 50, 26] from Operation: 89-63=26 Current State: 78:[53, 50, 26], Operations: ['89-63=26'] Exploring Operation: 53-50=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 53-50=3 Current State: 78:[26, 3], Operations: ['89-63=26', '53-50=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 60, 6, 49, 47 ]
15
[ "49-6=43", "47-43=4", "60/4=15" ]
Current State: 15:[60, 6, 49, 47], Operations: [] Exploring Operation: 49-6=43, Resulting Numbers: [60, 47, 43] Generated Node #2: [60, 47, 43] from Operation: 49-6=43 Current State: 15:[60, 47, 43], Operations: ['49-6=43'] Exploring Operation: 47-43=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 47-43=4 Current State: 15:[60, 4], Operations: ['49-6=43', '47-43=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 21, 29, 21, 58 ]
63
[ "21*58=1218", "1218/29=42", "21+42=63" ]
Current State: 63:[21, 29, 21, 58], Operations: [] Exploring Operation: 21*58=1218, Resulting Numbers: [29, 1218] Generated Node #2: [29, 1218] from Operation: 21*58=1218 Current State: 63:[29, 1218], Operations: ['21*58=1218'] Exploring Operation: 1218/29=42, Resulting Numbers: [42] 42,63 equal: Goal Reached Exploring Operation: 21+42=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 23, 27, 6, 4 ]
79
[ "23+6=29", "27*4=108", "108-29=79" ]
Current State: 79:[23, 27, 6, 4], Operations: [] Exploring Operation: 23+6=29, Resulting Numbers: [27, 4, 29] Generated Node #2: [27, 4, 29] from Operation: 23+6=29 Current State: 79:[27, 4, 29], Operations: ['23+6=29'] Exploring Operation: 27*4=108, Resulting Numbers: [29, 108] Generated Node #3: [29, 108] from Operation: 27*4=108 Current State: 79:[29, 108], Operations: ['23+6=29', '27*4=108'] Exploring Operation: 108-29=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 31, 67, 3, 58 ]
93
[ "67-58=9", "31*9=279", "279/3=93" ]
Current State: 93:[31, 67, 3, 58], Operations: [] Exploring Operation: 67-58=9, Resulting Numbers: [31, 3, 9] Generated Node #2: [31, 3, 9] from Operation: 67-58=9 Current State: 93:[31, 3, 9], Operations: ['67-58=9'] Exploring Operation: 31*9=279, Resulting Numbers: [3, 279] Generated Node #3: [3, 279] from Operation: 31*9=279 Current State: 93:[3, 279], Operations: ['67-58=9', '31*9=279'] Exploring Operation: 279/3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 9, 69, 46, 58 ]
52
[ "9*46=414", "414/69=6", "58-6=52" ]
Current State: 52:[9, 69, 46, 58], Operations: [] Exploring Operation: 9*46=414, Resulting Numbers: [69, 58, 414] Generated Node #2: [69, 58, 414] from Operation: 9*46=414 Current State: 52:[69, 58, 414], Operations: ['9*46=414'] Exploring Operation: 414/69=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 414/69=6 Current State: 52:[58, 6], Operations: ['9*46=414', '414/69=6'] Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4