Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 50, 88, 37, 40 ]
16
[ "50*40=2000", "88+37=125", "2000/125=16" ]
Current State: 16:[50, 88, 37, 40], Operations: [] Exploring Operation: 50*40=2000, Resulting Numbers: [88, 37, 2000] Generated Node #2: [88, 37, 2000] from Operation: 50*40=2000 Current State: 16:[88, 37, 2000], Operations: ['50*40=2000'] Exploring Operation: 88+37=125, Resulting Numbers: [2000, 125] Generated Node #3: [2000, 125] from Operation: 88+37=125 Current State: 16:[2000, 125], Operations: ['50*40=2000', '88+37=125'] Exploring Operation: 2000/125=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 57, 70, 43, 9 ]
74
[ "70-57=13", "9*13=117", "117-43=74" ]
Current State: 74:[57, 70, 43, 9], Operations: [] Exploring Operation: 70-57=13, Resulting Numbers: [43, 9, 13] Generated Node #2: [43, 9, 13] from Operation: 70-57=13 Current State: 74:[43, 9, 13], Operations: ['70-57=13'] Exploring Operation: 9*13=117, Resulting Numbers: [43, 117] Generated Node #3: [43, 117] from Operation: 9*13=117 Current State: 74:[43, 117], Operations: ['70-57=13', '9*13=117'] Exploring Operation: 117-43=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 1, 56, 59, 7 ]
50
[ "59-1=58", "56/7=8", "58-8=50" ]
Current State: 50:[1, 56, 59, 7], Operations: [] Exploring Operation: 59-1=58, Resulting Numbers: [56, 7, 58] Generated Node #2: [56, 7, 58] from Operation: 59-1=58 Current State: 50:[56, 7, 58], Operations: ['59-1=58'] Exploring Operation: 56/7=8, Resulting Numbers: [58, 8] Generated Node #3: [58, 8] from Operation: 56/7=8 Current State: 50:[58, 8], Operations: ['59-1=58', '56/7=8'] Exploring Operation: 58-8=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 56, 19, 76, 84 ]
32
[ "84-56=28", "76/19=4", "28+4=32" ]
Current State: 32:[56, 19, 76, 84], Operations: [] Exploring Operation: 84-56=28, Resulting Numbers: [19, 76, 28] Generated Node #2: [19, 76, 28] from Operation: 84-56=28 Current State: 32:[19, 76, 28], Operations: ['84-56=28'] Exploring Operation: 76/19=4, Resulting Numbers: [28, 4] Generated Node #3: [28, 4] from Operation: 76/19=4 Current State: 32:[28, 4], Operations: ['84-56=28', '76/19=4'] Exploring Operation: 28+4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 40, 63, 78, 58 ]
43
[ "63-40=23", "78-58=20", "23+20=43" ]
Current State: 43:[40, 63, 78, 58], Operations: [] Exploring Operation: 63-40=23, Resulting Numbers: [78, 58, 23] Generated Node #2: [78, 58, 23] from Operation: 63-40=23 Current State: 43:[78, 58, 23], Operations: ['63-40=23'] Exploring Operation: 78-58=20, Resulting Numbers: [23, 20] Generated Node #3: [23, 20] from Operation: 78-58=20 Current State: 43:[23, 20], Operations: ['63-40=23', '78-58=20'] Exploring Operation: 23+20=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 84, 34, 92, 3 ]
98
[ "84/3=28", "34+92=126", "126-28=98" ]
Current State: 98:[84, 34, 92, 3], Operations: [] Exploring Operation: 84/3=28, Resulting Numbers: [34, 92, 28] Generated Node #2: [34, 92, 28] from Operation: 84/3=28 Current State: 98:[34, 92, 28], Operations: ['84/3=28'] Exploring Operation: 34+92=126, Resulting Numbers: [28, 126] Generated Node #3: [28, 126] from Operation: 34+92=126 Current State: 98:[28, 126], Operations: ['84/3=28', '34+92=126'] Exploring Operation: 126-28=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 80, 20, 80, 7 ]
14
[ "80/80=1", "20-7=13", "1+13=14" ]
Current State: 14:[80, 20, 80, 7], Operations: [] Exploring Operation: 80/80=1, Resulting Numbers: [20, 7, 1] Generated Node #2: [20, 7, 1] from Operation: 80/80=1 Current State: 14:[20, 7, 1], Operations: ['80/80=1'] Exploring Operation: 20-7=13, Resulting Numbers: [1, 13] Generated Node #3: [1, 13] from Operation: 20-7=13 Current State: 14:[1, 13], Operations: ['80/80=1', '20-7=13'] Exploring Operation: 1+13=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 16, 59, 81, 75 ]
80
[ "16+59=75", "75/75=1", "81-1=80" ]
Current State: 80:[16, 59, 81, 75], Operations: [] Exploring Operation: 16+59=75, Resulting Numbers: [81, 75, 75] Generated Node #2: [81, 75, 75] from Operation: 16+59=75 Current State: 80:[81, 75, 75], Operations: ['16+59=75'] Exploring Operation: 75/75=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 75/75=1 Current State: 80:[81, 1], Operations: ['16+59=75', '75/75=1'] Exploring Operation: 81-1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 23, 10, 77, 20 ]
64
[ "23+10=33", "77+20=97", "97-33=64" ]
Current State: 64:[23, 10, 77, 20], Operations: [] Exploring Operation: 23+10=33, Resulting Numbers: [77, 20, 33] Generated Node #2: [77, 20, 33] from Operation: 23+10=33 Current State: 64:[77, 20, 33], Operations: ['23+10=33'] Exploring Operation: 77+20=97, Resulting Numbers: [33, 97] Generated Node #3: [33, 97] from Operation: 77+20=97 Current State: 64:[33, 97], Operations: ['23+10=33', '77+20=97'] Exploring Operation: 97-33=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 6, 75, 30, 36 ]
74
[ "6+30=36", "36/36=1", "75-1=74" ]
Current State: 74:[6, 75, 30, 36], Operations: [] Exploring Operation: 6+30=36, Resulting Numbers: [75, 36, 36] Generated Node #2: [75, 36, 36] from Operation: 6+30=36 Current State: 74:[75, 36, 36], Operations: ['6+30=36'] Exploring Operation: 36/36=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 36/36=1 Current State: 74:[75, 1], Operations: ['6+30=36', '36/36=1'] Exploring Operation: 75-1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 19, 2, 69, 15 ]
80
[ "69-19=50", "2*15=30", "50+30=80" ]
Current State: 80:[19, 2, 69, 15], Operations: [] Exploring Operation: 69-19=50, Resulting Numbers: [2, 15, 50] Generated Node #2: [2, 15, 50] from Operation: 69-19=50 Current State: 80:[2, 15, 50], Operations: ['69-19=50'] Exploring Operation: 2*15=30, Resulting Numbers: [50, 30] Generated Node #3: [50, 30] from Operation: 2*15=30 Current State: 80:[50, 30], Operations: ['69-19=50', '2*15=30'] Exploring Operation: 50+30=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 70, 11, 70, 40 ]
21
[ "70*11=770", "70+770=840", "840/40=21" ]
Current State: 21:[70, 11, 70, 40], Operations: [] Exploring Operation: 70*11=770, Resulting Numbers: [40, 770] Generated Node #2: [40, 770] from Operation: 70*11=770 Current State: 21:[40, 770], Operations: ['70*11=770'] Exploring Operation: 70+770=840, Resulting Numbers: [40, 840] Generated Node #3: [40, 840] from Operation: 70+770=840 Current State: 21:[40, 840], Operations: ['70*11=770', '70+770=840'] Exploring Operation: 840/40=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 17, 90, 9, 20 ]
27
[ "17+20=37", "90/9=10", "37-10=27" ]
Current State: 27:[17, 90, 9, 20], Operations: [] Exploring Operation: 17+20=37, Resulting Numbers: [90, 9, 37] Generated Node #2: [90, 9, 37] from Operation: 17+20=37 Current State: 27:[90, 9, 37], Operations: ['17+20=37'] Exploring Operation: 90/9=10, Resulting Numbers: [37, 10] Generated Node #3: [37, 10] from Operation: 90/9=10 Current State: 27:[37, 10], Operations: ['17+20=37', '90/9=10'] Exploring Operation: 37-10=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 31, 49, 29, 74 ]
85
[ "49-31=18", "29+74=103", "103-18=85" ]
Current State: 85:[31, 49, 29, 74], Operations: [] Exploring Operation: 49-31=18, Resulting Numbers: [29, 74, 18] Generated Node #2: [29, 74, 18] from Operation: 49-31=18 Current State: 85:[29, 74, 18], Operations: ['49-31=18'] Exploring Operation: 29+74=103, Resulting Numbers: [18, 103] Generated Node #3: [18, 103] from Operation: 29+74=103 Current State: 85:[18, 103], Operations: ['49-31=18', '29+74=103'] Exploring Operation: 103-18=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 38, 73, 27, 14 ]
17
[ "38*14=532", "532-73=459", "459/27=17" ]
Current State: 17:[38, 73, 27, 14], Operations: [] Exploring Operation: 38*14=532, Resulting Numbers: [73, 27, 532] Generated Node #2: [73, 27, 532] from Operation: 38*14=532 Current State: 17:[73, 27, 532], Operations: ['38*14=532'] Exploring Operation: 532-73=459, Resulting Numbers: [27, 459] Generated Node #3: [27, 459] from Operation: 532-73=459 Current State: 17:[27, 459], Operations: ['38*14=532', '532-73=459'] Exploring Operation: 459/27=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 30, 63, 35, 51 ]
32
[ "51-30=21", "63/21=3", "35-3=32" ]
Current State: 32:[30, 63, 35, 51], Operations: [] Exploring Operation: 51-30=21, Resulting Numbers: [63, 35, 21] Generated Node #2: [63, 35, 21] from Operation: 51-30=21 Current State: 32:[63, 35, 21], Operations: ['51-30=21'] Exploring Operation: 63/21=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 63/21=3 Current State: 32:[35, 3], Operations: ['51-30=21', '63/21=3'] Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 17, 44, 7, 42 ]
22
[ "44-17=27", "7+42=49", "49-27=22" ]
Current State: 22:[17, 44, 7, 42], Operations: [] Exploring Operation: 44-17=27, Resulting Numbers: [7, 42, 27] Generated Node #2: [7, 42, 27] from Operation: 44-17=27 Current State: 22:[7, 42, 27], Operations: ['44-17=27'] Exploring Operation: 7+42=49, Resulting Numbers: [27, 49] Generated Node #3: [27, 49] from Operation: 7+42=49 Current State: 22:[27, 49], Operations: ['44-17=27', '7+42=49'] Exploring Operation: 49-27=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 36, 66, 17, 4 ]
72
[ "17*4=68", "68-66=2", "36*2=72" ]
Current State: 72:[36, 66, 17, 4], Operations: [] Exploring Operation: 17*4=68, Resulting Numbers: [36, 66, 68] Generated Node #2: [36, 66, 68] from Operation: 17*4=68 Current State: 72:[36, 66, 68], Operations: ['17*4=68'] Exploring Operation: 68-66=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 68-66=2 Current State: 72:[36, 2], Operations: ['17*4=68', '68-66=2'] Exploring Operation: 36*2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 56, 3, 3, 1 ]
18
[ "56-3=53", "1+53=54", "54/3=18" ]
Current State: 18:[56, 3, 3, 1], Operations: [] Exploring Operation: 56-3=53, Resulting Numbers: [1, 53] Generated Node #2: [1, 53] from Operation: 56-3=53 Current State: 18:[1, 53], Operations: ['56-3=53'] Exploring Operation: 1+53=54, Resulting Numbers: [54] 54,18 equal: Goal Reached Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 31, 37, 5, 7 ]
29
[ "37-31=6", "5*7=35", "35-6=29" ]
Current State: 29:[31, 37, 5, 7], Operations: [] Exploring Operation: 37-31=6, Resulting Numbers: [5, 7, 6] Generated Node #2: [5, 7, 6] from Operation: 37-31=6 Current State: 29:[5, 7, 6], Operations: ['37-31=6'] Exploring Operation: 5*7=35, Resulting Numbers: [6, 35] Generated Node #3: [6, 35] from Operation: 5*7=35 Current State: 29:[6, 35], Operations: ['37-31=6', '5*7=35'] Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 34, 4, 84, 46 ]
32
[ "46-4=42", "84/42=2", "34-2=32" ]
Current State: 32:[34, 4, 84, 46], Operations: [] Exploring Operation: 46-4=42, Resulting Numbers: [34, 84, 42] Generated Node #2: [34, 84, 42] from Operation: 46-4=42 Current State: 32:[34, 84, 42], Operations: ['46-4=42'] Exploring Operation: 84/42=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 84/42=2 Current State: 32:[34, 2], Operations: ['46-4=42', '84/42=2'] Exploring Operation: 34-2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 6, 27, 25, 99 ]
33
[ "27-25=2", "6/2=3", "99/3=33" ]
Current State: 33:[6, 27, 25, 99], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [6, 99, 2] Generated Node #2: [6, 99, 2] from Operation: 27-25=2 Current State: 33:[6, 99, 2], Operations: ['27-25=2'] Exploring Operation: 6/2=3, Resulting Numbers: [99, 3] Generated Node #3: [99, 3] from Operation: 6/2=3 Current State: 33:[99, 3], Operations: ['27-25=2', '6/2=3'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 66, 4, 60, 62 ]
16
[ "66+60=126", "126-62=64", "64/4=16" ]
Current State: 16:[66, 4, 60, 62], Operations: [] Exploring Operation: 66+60=126, Resulting Numbers: [4, 62, 126] Generated Node #2: [4, 62, 126] from Operation: 66+60=126 Current State: 16:[4, 62, 126], Operations: ['66+60=126'] Exploring Operation: 126-62=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 126-62=64 Current State: 16:[4, 64], Operations: ['66+60=126', '126-62=64'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 32, 23, 12, 57 ]
100
[ "32+23=55", "57-12=45", "55+45=100" ]
Current State: 100:[32, 23, 12, 57], Operations: [] Exploring Operation: 32+23=55, Resulting Numbers: [12, 57, 55] Generated Node #2: [12, 57, 55] from Operation: 32+23=55 Current State: 100:[12, 57, 55], Operations: ['32+23=55'] Exploring Operation: 57-12=45, Resulting Numbers: [55, 45] Generated Node #3: [55, 45] from Operation: 57-12=45 Current State: 100:[55, 45], Operations: ['32+23=55', '57-12=45'] Exploring Operation: 55+45=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 56, 15, 42, 57 ]
14
[ "56*15=840", "840-42=798", "798/57=14" ]
Current State: 14:[56, 15, 42, 57], Operations: [] Exploring Operation: 56*15=840, Resulting Numbers: [42, 57, 840] Generated Node #2: [42, 57, 840] from Operation: 56*15=840 Current State: 14:[42, 57, 840], Operations: ['56*15=840'] Exploring Operation: 840-42=798, Resulting Numbers: [57, 798] Generated Node #3: [57, 798] from Operation: 840-42=798 Current State: 14:[57, 798], Operations: ['56*15=840', '840-42=798'] Exploring Operation: 798/57=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 11, 1, 71, 52 ]
30
[ "11*1=11", "71-52=19", "11+19=30" ]
Current State: 30:[11, 1, 71, 52], Operations: [] Exploring Operation: 11*1=11, Resulting Numbers: [71, 52, 11] Generated Node #2: [71, 52, 11] from Operation: 11*1=11 Current State: 30:[71, 52, 11], Operations: ['11*1=11'] Exploring Operation: 71-52=19, Resulting Numbers: [11, 19] Generated Node #3: [11, 19] from Operation: 71-52=19 Current State: 30:[11, 19], Operations: ['11*1=11', '71-52=19'] Exploring Operation: 11+19=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 71, 63, 15, 14 ]
49
[ "71*14=994", "63*15=945", "994-945=49" ]
Current State: 49:[71, 63, 15, 14], Operations: [] Exploring Operation: 71*14=994, Resulting Numbers: [63, 15, 994] Generated Node #2: [63, 15, 994] from Operation: 71*14=994 Current State: 49:[63, 15, 994], Operations: ['71*14=994'] Exploring Operation: 63*15=945, Resulting Numbers: [994, 945] Generated Node #3: [994, 945] from Operation: 63*15=945 Current State: 49:[994, 945], Operations: ['71*14=994', '63*15=945'] Exploring Operation: 994-945=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 71, 6, 4, 4 ]
66
[ "71-6=65", "4/4=1", "65+1=66" ]
Current State: 66:[71, 6, 4, 4], Operations: [] Exploring Operation: 71-6=65, Resulting Numbers: [4, 4, 65] Generated Node #2: [4, 4, 65] from Operation: 71-6=65 Current State: 66:[4, 4, 65], Operations: ['71-6=65'] Exploring Operation: 4/4=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 4/4=1 Current State: 66:[65, 1], Operations: ['71-6=65', '4/4=1'] Exploring Operation: 65+1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 52, 43, 3, 2 ]
95
[ "52+43=95", "3-2=1", "95*1=95" ]
Current State: 95:[52, 43, 3, 2], Operations: [] Exploring Operation: 52+43=95, Resulting Numbers: [3, 2, 95] Generated Node #2: [3, 2, 95] from Operation: 52+43=95 Current State: 95:[3, 2, 95], Operations: ['52+43=95'] Exploring Operation: 3-2=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 3-2=1 Current State: 95:[95, 1], Operations: ['52+43=95', '3-2=1'] Exploring Operation: 95*1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 5, 61, 55, 6 ]
36
[ "5*6=30", "61-55=6", "30+6=36" ]
Current State: 36:[5, 61, 55, 6], Operations: [] Exploring Operation: 5*6=30, Resulting Numbers: [61, 55, 30] Generated Node #2: [61, 55, 30] from Operation: 5*6=30 Current State: 36:[61, 55, 30], Operations: ['5*6=30'] Exploring Operation: 61-55=6, Resulting Numbers: [30, 6] Generated Node #3: [30, 6] from Operation: 61-55=6 Current State: 36:[30, 6], Operations: ['5*6=30', '61-55=6'] Exploring Operation: 30+6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 94, 61, 17, 7 ]
86
[ "94-61=33", "17*7=119", "119-33=86" ]
Current State: 86:[94, 61, 17, 7], Operations: [] Exploring Operation: 94-61=33, Resulting Numbers: [17, 7, 33] Generated Node #2: [17, 7, 33] from Operation: 94-61=33 Current State: 86:[17, 7, 33], Operations: ['94-61=33'] Exploring Operation: 17*7=119, Resulting Numbers: [33, 119] Generated Node #3: [33, 119] from Operation: 17*7=119 Current State: 86:[33, 119], Operations: ['94-61=33', '17*7=119'] Exploring Operation: 119-33=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 80, 78, 76, 74 ]
41
[ "76-74=2", "78/2=39", "80-39=41" ]
Current State: 41:[80, 78, 76, 74], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [80, 78, 2] Generated Node #2: [80, 78, 2] from Operation: 76-74=2 Current State: 41:[80, 78, 2], Operations: ['76-74=2'] Exploring Operation: 78/2=39, Resulting Numbers: [80, 39] Generated Node #3: [80, 39] from Operation: 78/2=39 Current State: 41:[80, 39], Operations: ['76-74=2', '78/2=39'] Exploring Operation: 80-39=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 76, 1, 21, 87 ]
32
[ "76*1=76", "21+87=108", "108-76=32" ]
Current State: 32:[76, 1, 21, 87], Operations: [] Exploring Operation: 76*1=76, Resulting Numbers: [21, 87, 76] Generated Node #2: [21, 87, 76] from Operation: 76*1=76 Current State: 32:[21, 87, 76], Operations: ['76*1=76'] Exploring Operation: 21+87=108, Resulting Numbers: [76, 108] Generated Node #3: [76, 108] from Operation: 21+87=108 Current State: 32:[76, 108], Operations: ['76*1=76', '21+87=108'] Exploring Operation: 108-76=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 96, 22, 88, 94 ]
22
[ "96-94=2", "88/2=44", "44-22=22" ]
Current State: 22:[96, 22, 88, 94], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [22, 88, 2] Generated Node #2: [22, 88, 2] from Operation: 96-94=2 Current State: 22:[22, 88, 2], Operations: ['96-94=2'] Exploring Operation: 88/2=44, Resulting Numbers: [22, 44] Generated Node #3: [22, 44] from Operation: 88/2=44 Current State: 22:[22, 44], Operations: ['96-94=2', '88/2=44'] Exploring Operation: 44-22=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 94, 99, 3, 74 ]
29
[ "94+99=193", "3*74=222", "222-193=29" ]
Current State: 29:[94, 99, 3, 74], Operations: [] Exploring Operation: 94+99=193, Resulting Numbers: [3, 74, 193] Generated Node #2: [3, 74, 193] from Operation: 94+99=193 Current State: 29:[3, 74, 193], Operations: ['94+99=193'] Exploring Operation: 3*74=222, Resulting Numbers: [193, 222] Generated Node #3: [193, 222] from Operation: 3*74=222 Current State: 29:[193, 222], Operations: ['94+99=193', '3*74=222'] Exploring Operation: 222-193=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 13, 83, 12, 14 ]
17
[ "83-13=70", "70/14=5", "12+5=17" ]
Current State: 17:[13, 83, 12, 14], Operations: [] Exploring Operation: 83-13=70, Resulting Numbers: [12, 14, 70] Generated Node #2: [12, 14, 70] from Operation: 83-13=70 Current State: 17:[12, 14, 70], Operations: ['83-13=70'] Exploring Operation: 70/14=5, Resulting Numbers: [12, 5] Generated Node #3: [12, 5] from Operation: 70/14=5 Current State: 17:[12, 5], Operations: ['83-13=70', '70/14=5'] Exploring Operation: 12+5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 1, 5, 80, 17 ]
92
[ "1*5=5", "80+17=97", "97-5=92" ]
Current State: 92:[1, 5, 80, 17], Operations: [] Exploring Operation: 1*5=5, Resulting Numbers: [80, 17, 5] Generated Node #2: [80, 17, 5] from Operation: 1*5=5 Current State: 92:[80, 17, 5], Operations: ['1*5=5'] Exploring Operation: 80+17=97, Resulting Numbers: [5, 97] Generated Node #3: [5, 97] from Operation: 80+17=97 Current State: 92:[5, 97], Operations: ['1*5=5', '80+17=97'] Exploring Operation: 97-5=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 70, 13, 38, 14 ]
30
[ "70/14=5", "38-13=25", "5+25=30" ]
Current State: 30:[70, 13, 38, 14], Operations: [] Exploring Operation: 70/14=5, Resulting Numbers: [13, 38, 5] Generated Node #2: [13, 38, 5] from Operation: 70/14=5 Current State: 30:[13, 38, 5], Operations: ['70/14=5'] Exploring Operation: 38-13=25, Resulting Numbers: [5, 25] Generated Node #3: [5, 25] from Operation: 38-13=25 Current State: 30:[5, 25], Operations: ['70/14=5', '38-13=25'] Exploring Operation: 5+25=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 50, 7, 26, 60 ]
43
[ "50-7=43", "26+60=86", "86-43=43" ]
Current State: 43:[50, 7, 26, 60], Operations: [] Exploring Operation: 50-7=43, Resulting Numbers: [26, 60, 43] Generated Node #2: [26, 60, 43] from Operation: 50-7=43 Current State: 43:[26, 60, 43], Operations: ['50-7=43'] Exploring Operation: 26+60=86, Resulting Numbers: [43, 86] Generated Node #3: [43, 86] from Operation: 26+60=86 Current State: 43:[43, 86], Operations: ['50-7=43', '26+60=86'] Exploring Operation: 86-43=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 50, 31, 57, 32 ]
70
[ "50-31=19", "57+32=89", "89-19=70" ]
Current State: 70:[50, 31, 57, 32], Operations: [] Exploring Operation: 50-31=19, Resulting Numbers: [57, 32, 19] Generated Node #2: [57, 32, 19] from Operation: 50-31=19 Current State: 70:[57, 32, 19], Operations: ['50-31=19'] Exploring Operation: 57+32=89, Resulting Numbers: [19, 89] Generated Node #3: [19, 89] from Operation: 57+32=89 Current State: 70:[19, 89], Operations: ['50-31=19', '57+32=89'] Exploring Operation: 89-19=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 65, 11, 35, 56 ]
37
[ "65-11=54", "35+56=91", "91-54=37" ]
Current State: 37:[65, 11, 35, 56], Operations: [] Exploring Operation: 65-11=54, Resulting Numbers: [35, 56, 54] Generated Node #2: [35, 56, 54] from Operation: 65-11=54 Current State: 37:[35, 56, 54], Operations: ['65-11=54'] Exploring Operation: 35+56=91, Resulting Numbers: [54, 91] Generated Node #3: [54, 91] from Operation: 35+56=91 Current State: 37:[54, 91], Operations: ['65-11=54', '35+56=91'] Exploring Operation: 91-54=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 11, 61, 20, 62 ]
97
[ "11*20=220", "61+62=123", "220-123=97" ]
Current State: 97:[11, 61, 20, 62], Operations: [] Exploring Operation: 11*20=220, Resulting Numbers: [61, 62, 220] Generated Node #2: [61, 62, 220] from Operation: 11*20=220 Current State: 97:[61, 62, 220], Operations: ['11*20=220'] Exploring Operation: 61+62=123, Resulting Numbers: [220, 123] Generated Node #3: [220, 123] from Operation: 61+62=123 Current State: 97:[220, 123], Operations: ['11*20=220', '61+62=123'] Exploring Operation: 220-123=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 13, 4, 72, 21 ]
40
[ "21-13=8", "4*8=32", "72-32=40" ]
Current State: 40:[13, 4, 72, 21], Operations: [] Exploring Operation: 21-13=8, Resulting Numbers: [4, 72, 8] Generated Node #2: [4, 72, 8] from Operation: 21-13=8 Current State: 40:[4, 72, 8], Operations: ['21-13=8'] Exploring Operation: 4*8=32, Resulting Numbers: [72, 32] Generated Node #3: [72, 32] from Operation: 4*8=32 Current State: 40:[72, 32], Operations: ['21-13=8', '4*8=32'] Exploring Operation: 72-32=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 7, 45, 9, 9 ]
51
[ "7+45=52", "9/9=1", "52-1=51" ]
Current State: 51:[7, 45, 9, 9], Operations: [] Exploring Operation: 7+45=52, Resulting Numbers: [9, 9, 52] Generated Node #2: [9, 9, 52] from Operation: 7+45=52 Current State: 51:[9, 9, 52], Operations: ['7+45=52'] Exploring Operation: 9/9=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 9/9=1 Current State: 51:[52, 1], Operations: ['7+45=52', '9/9=1'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 61, 72, 3, 2 ]
93
[ "61+2=63", "63/3=21", "72+21=93" ]
Current State: 93:[61, 72, 3, 2], Operations: [] Exploring Operation: 61+2=63, Resulting Numbers: [72, 3, 63] Generated Node #2: [72, 3, 63] from Operation: 61+2=63 Current State: 93:[72, 3, 63], Operations: ['61+2=63'] Exploring Operation: 63/3=21, Resulting Numbers: [72, 21] Generated Node #3: [72, 21] from Operation: 63/3=21 Current State: 93:[72, 21], Operations: ['61+2=63', '63/3=21'] Exploring Operation: 72+21=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 5, 50, 15, 17 ]
40
[ "17-5=12", "50*12=600", "600/15=40" ]
Current State: 40:[5, 50, 15, 17], Operations: [] Exploring Operation: 17-5=12, Resulting Numbers: [50, 15, 12] Generated Node #2: [50, 15, 12] from Operation: 17-5=12 Current State: 40:[50, 15, 12], Operations: ['17-5=12'] Exploring Operation: 50*12=600, Resulting Numbers: [15, 600] Generated Node #3: [15, 600] from Operation: 50*12=600 Current State: 40:[15, 600], Operations: ['17-5=12', '50*12=600'] Exploring Operation: 600/15=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 59, 84, 2, 49 ]
47
[ "59+84=143", "143-49=94", "94/2=47" ]
Current State: 47:[59, 84, 2, 49], Operations: [] Exploring Operation: 59+84=143, Resulting Numbers: [2, 49, 143] Generated Node #2: [2, 49, 143] from Operation: 59+84=143 Current State: 47:[2, 49, 143], Operations: ['59+84=143'] Exploring Operation: 143-49=94, Resulting Numbers: [2, 94] Generated Node #3: [2, 94] from Operation: 143-49=94 Current State: 47:[2, 94], Operations: ['59+84=143', '143-49=94'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 5, 59, 81, 3 ]
61
[ "81-59=22", "3*22=66", "66-5=61" ]
Current State: 61:[5, 59, 81, 3], Operations: [] Exploring Operation: 81-59=22, Resulting Numbers: [5, 3, 22] Generated Node #2: [5, 3, 22] from Operation: 81-59=22 Current State: 61:[5, 3, 22], Operations: ['81-59=22'] Exploring Operation: 3*22=66, Resulting Numbers: [5, 66] Generated Node #3: [5, 66] from Operation: 3*22=66 Current State: 61:[5, 66], Operations: ['81-59=22', '3*22=66'] Exploring Operation: 66-5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 20, 10, 26, 2 ]
43
[ "20+10=30", "26/2=13", "30+13=43" ]
Current State: 43:[20, 10, 26, 2], Operations: [] Exploring Operation: 20+10=30, Resulting Numbers: [26, 2, 30] Generated Node #2: [26, 2, 30] from Operation: 20+10=30 Current State: 43:[26, 2, 30], Operations: ['20+10=30'] Exploring Operation: 26/2=13, Resulting Numbers: [30, 13] Generated Node #3: [30, 13] from Operation: 26/2=13 Current State: 43:[30, 13], Operations: ['20+10=30', '26/2=13'] Exploring Operation: 30+13=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 24, 68, 64, 68 ]
87
[ "24+64=88", "68/68=1", "88-1=87" ]
Current State: 87:[24, 68, 64, 68], Operations: [] Exploring Operation: 24+64=88, Resulting Numbers: [68, 68, 88] Generated Node #2: [68, 68, 88] from Operation: 24+64=88 Current State: 87:[68, 68, 88], Operations: ['24+64=88'] Exploring Operation: 68/68=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 68/68=1 Current State: 87:[88, 1], Operations: ['24+64=88', '68/68=1'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 22, 85, 28, 2 ]
51
[ "22+85=107", "28*2=56", "107-56=51" ]
Current State: 51:[22, 85, 28, 2], Operations: [] Exploring Operation: 22+85=107, Resulting Numbers: [28, 2, 107] Generated Node #2: [28, 2, 107] from Operation: 22+85=107 Current State: 51:[28, 2, 107], Operations: ['22+85=107'] Exploring Operation: 28*2=56, Resulting Numbers: [107, 56] Generated Node #3: [107, 56] from Operation: 28*2=56 Current State: 51:[107, 56], Operations: ['22+85=107', '28*2=56'] Exploring Operation: 107-56=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 42, 2, 51, 98 ]
91
[ "42+2=44", "98-51=47", "44+47=91" ]
Current State: 91:[42, 2, 51, 98], Operations: [] Exploring Operation: 42+2=44, Resulting Numbers: [51, 98, 44] Generated Node #2: [51, 98, 44] from Operation: 42+2=44 Current State: 91:[51, 98, 44], Operations: ['42+2=44'] Exploring Operation: 98-51=47, Resulting Numbers: [44, 47] Generated Node #3: [44, 47] from Operation: 98-51=47 Current State: 91:[44, 47], Operations: ['42+2=44', '98-51=47'] Exploring Operation: 44+47=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 90, 82, 10, 38 ]
42
[ "90-82=8", "10*8=80", "80-38=42" ]
Current State: 42:[90, 82, 10, 38], Operations: [] Exploring Operation: 90-82=8, Resulting Numbers: [10, 38, 8] Generated Node #2: [10, 38, 8] from Operation: 90-82=8 Current State: 42:[10, 38, 8], Operations: ['90-82=8'] Exploring Operation: 10*8=80, Resulting Numbers: [38, 80] Generated Node #3: [38, 80] from Operation: 10*8=80 Current State: 42:[38, 80], Operations: ['90-82=8', '10*8=80'] Exploring Operation: 80-38=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 55, 3, 31, 19 ]
91
[ "55-31=24", "3*24=72", "19+72=91" ]
Current State: 91:[55, 3, 31, 19], Operations: [] Exploring Operation: 55-31=24, Resulting Numbers: [3, 19, 24] Generated Node #2: [3, 19, 24] from Operation: 55-31=24 Current State: 91:[3, 19, 24], Operations: ['55-31=24'] Exploring Operation: 3*24=72, Resulting Numbers: [19, 72] Generated Node #3: [19, 72] from Operation: 3*24=72 Current State: 91:[19, 72], Operations: ['55-31=24', '3*24=72'] Exploring Operation: 19+72=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 88, 1, 91, 24 ]
48
[ "88+1=89", "91-89=2", "24*2=48" ]
Current State: 48:[88, 1, 91, 24], Operations: [] Exploring Operation: 88+1=89, Resulting Numbers: [91, 24, 89] Generated Node #2: [91, 24, 89] from Operation: 88+1=89 Current State: 48:[91, 24, 89], Operations: ['88+1=89'] Exploring Operation: 91-89=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 91-89=2 Current State: 48:[24, 2], Operations: ['88+1=89', '91-89=2'] Exploring Operation: 24*2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 72, 42, 61, 55 ]
37
[ "72-61=11", "55/11=5", "42-5=37" ]
Current State: 37:[72, 42, 61, 55], Operations: [] Exploring Operation: 72-61=11, Resulting Numbers: [42, 55, 11] Generated Node #2: [42, 55, 11] from Operation: 72-61=11 Current State: 37:[42, 55, 11], Operations: ['72-61=11'] Exploring Operation: 55/11=5, Resulting Numbers: [42, 5] Generated Node #3: [42, 5] from Operation: 55/11=5 Current State: 37:[42, 5], Operations: ['72-61=11', '55/11=5'] Exploring Operation: 42-5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 49, 14, 9, 31 ]
57
[ "49-14=35", "31-9=22", "35+22=57" ]
Current State: 57:[49, 14, 9, 31], Operations: [] Exploring Operation: 49-14=35, Resulting Numbers: [9, 31, 35] Generated Node #2: [9, 31, 35] from Operation: 49-14=35 Current State: 57:[9, 31, 35], Operations: ['49-14=35'] Exploring Operation: 31-9=22, Resulting Numbers: [35, 22] Generated Node #3: [35, 22] from Operation: 31-9=22 Current State: 57:[35, 22], Operations: ['49-14=35', '31-9=22'] Exploring Operation: 35+22=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 56, 5, 3, 4 ]
12
[ "56-5=51", "51-3=48", "48/4=12" ]
Current State: 12:[56, 5, 3, 4], Operations: [] Exploring Operation: 56-5=51, Resulting Numbers: [3, 4, 51] Generated Node #2: [3, 4, 51] from Operation: 56-5=51 Current State: 12:[3, 4, 51], Operations: ['56-5=51'] Exploring Operation: 51-3=48, Resulting Numbers: [4, 48] Generated Node #3: [4, 48] from Operation: 51-3=48 Current State: 12:[4, 48], Operations: ['56-5=51', '51-3=48'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 31, 33, 59, 28 ]
33
[ "31+33=64", "59-28=31", "64-31=33" ]
Current State: 33:[31, 33, 59, 28], Operations: [] Exploring Operation: 31+33=64, Resulting Numbers: [59, 28, 64] Generated Node #2: [59, 28, 64] from Operation: 31+33=64 Current State: 33:[59, 28, 64], Operations: ['31+33=64'] Exploring Operation: 59-28=31, Resulting Numbers: [64, 31] Generated Node #3: [64, 31] from Operation: 59-28=31 Current State: 33:[64, 31], Operations: ['31+33=64', '59-28=31'] Exploring Operation: 64-31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 88, 17, 58, 68 ]
55
[ "88-17=71", "58+68=126", "126-71=55" ]
Current State: 55:[88, 17, 58, 68], Operations: [] Exploring Operation: 88-17=71, Resulting Numbers: [58, 68, 71] Generated Node #2: [58, 68, 71] from Operation: 88-17=71 Current State: 55:[58, 68, 71], Operations: ['88-17=71'] Exploring Operation: 58+68=126, Resulting Numbers: [71, 126] Generated Node #3: [71, 126] from Operation: 58+68=126 Current State: 55:[71, 126], Operations: ['88-17=71', '58+68=126'] Exploring Operation: 126-71=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 54, 73, 14, 63 ]
78
[ "54+73=127", "63-14=49", "127-49=78" ]
Current State: 78:[54, 73, 14, 63], Operations: [] Exploring Operation: 54+73=127, Resulting Numbers: [14, 63, 127] Generated Node #2: [14, 63, 127] from Operation: 54+73=127 Current State: 78:[14, 63, 127], Operations: ['54+73=127'] Exploring Operation: 63-14=49, Resulting Numbers: [127, 49] Generated Node #3: [127, 49] from Operation: 63-14=49 Current State: 78:[127, 49], Operations: ['54+73=127', '63-14=49'] Exploring Operation: 127-49=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 60, 36, 72, 79 ]
82
[ "60-36=24", "72/24=3", "79+3=82" ]
Current State: 82:[60, 36, 72, 79], Operations: [] Exploring Operation: 60-36=24, Resulting Numbers: [72, 79, 24] Generated Node #2: [72, 79, 24] from Operation: 60-36=24 Current State: 82:[72, 79, 24], Operations: ['60-36=24'] Exploring Operation: 72/24=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 72/24=3 Current State: 82:[79, 3], Operations: ['60-36=24', '72/24=3'] Exploring Operation: 79+3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 57, 88, 49, 19 ]
42
[ "57/19=3", "88-49=39", "3+39=42" ]
Current State: 42:[57, 88, 49, 19], Operations: [] Exploring Operation: 57/19=3, Resulting Numbers: [88, 49, 3] Generated Node #2: [88, 49, 3] from Operation: 57/19=3 Current State: 42:[88, 49, 3], Operations: ['57/19=3'] Exploring Operation: 88-49=39, Resulting Numbers: [3, 39] Generated Node #3: [3, 39] from Operation: 88-49=39 Current State: 42:[3, 39], Operations: ['57/19=3', '88-49=39'] Exploring Operation: 3+39=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 9, 5, 49, 22 ]
88
[ "9*5=45", "49-45=4", "22*4=88" ]
Current State: 88:[9, 5, 49, 22], Operations: [] Exploring Operation: 9*5=45, Resulting Numbers: [49, 22, 45] Generated Node #2: [49, 22, 45] from Operation: 9*5=45 Current State: 88:[49, 22, 45], Operations: ['9*5=45'] Exploring Operation: 49-45=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 49-45=4 Current State: 88:[22, 4], Operations: ['9*5=45', '49-45=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 65, 2, 98, 10 ]
12
[ "65-10=55", "2*55=110", "110-98=12" ]
Current State: 12:[65, 2, 98, 10], Operations: [] Exploring Operation: 65-10=55, Resulting Numbers: [2, 98, 55] Generated Node #2: [2, 98, 55] from Operation: 65-10=55 Current State: 12:[2, 98, 55], Operations: ['65-10=55'] Exploring Operation: 2*55=110, Resulting Numbers: [98, 110] Generated Node #3: [98, 110] from Operation: 2*55=110 Current State: 12:[98, 110], Operations: ['65-10=55', '2*55=110'] Exploring Operation: 110-98=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 5, 2, 2, 43 ]
23
[ "5*2=10", "2*10=20", "43-20=23" ]
Current State: 23:[5, 2, 2, 43], Operations: [] Exploring Operation: 5*2=10, Resulting Numbers: [43, 10] Generated Node #2: [43, 10] from Operation: 5*2=10 Current State: 23:[43, 10], Operations: ['5*2=10'] Exploring Operation: 2*10=20, Resulting Numbers: [43, 20] Generated Node #3: [43, 20] from Operation: 2*10=20 Current State: 23:[43, 20], Operations: ['5*2=10', '2*10=20'] Exploring Operation: 43-20=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 58, 41, 67, 39 ]
38
[ "41-39=2", "58/2=29", "67-29=38" ]
Current State: 38:[58, 41, 67, 39], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [58, 67, 2] Generated Node #2: [58, 67, 2] from Operation: 41-39=2 Current State: 38:[58, 67, 2], Operations: ['41-39=2'] Exploring Operation: 58/2=29, Resulting Numbers: [67, 29] Generated Node #3: [67, 29] from Operation: 58/2=29 Current State: 38:[67, 29], Operations: ['41-39=2', '58/2=29'] Exploring Operation: 67-29=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 72, 22, 29, 3 ]
75
[ "72/3=24", "22+29=51", "24+51=75" ]
Current State: 75:[72, 22, 29, 3], Operations: [] Exploring Operation: 72/3=24, Resulting Numbers: [22, 29, 24] Generated Node #2: [22, 29, 24] from Operation: 72/3=24 Current State: 75:[22, 29, 24], Operations: ['72/3=24'] Exploring Operation: 22+29=51, Resulting Numbers: [24, 51] Generated Node #3: [24, 51] from Operation: 22+29=51 Current State: 75:[24, 51], Operations: ['72/3=24', '22+29=51'] Exploring Operation: 24+51=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 52, 42, 84, 95 ]
24
[ "52+95=147", "42*84=3528", "3528/147=24" ]
Current State: 24:[52, 42, 84, 95], Operations: [] Exploring Operation: 52+95=147, Resulting Numbers: [42, 84, 147] Generated Node #2: [42, 84, 147] from Operation: 52+95=147 Current State: 24:[42, 84, 147], Operations: ['52+95=147'] Exploring Operation: 42*84=3528, Resulting Numbers: [147, 3528] Generated Node #3: [147, 3528] from Operation: 42*84=3528 Current State: 24:[147, 3528], Operations: ['52+95=147', '42*84=3528'] Exploring Operation: 3528/147=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 14, 95, 10, 64 ]
90
[ "64-14=50", "50/10=5", "95-5=90" ]
Current State: 90:[14, 95, 10, 64], Operations: [] Exploring Operation: 64-14=50, Resulting Numbers: [95, 10, 50] Generated Node #2: [95, 10, 50] from Operation: 64-14=50 Current State: 90:[95, 10, 50], Operations: ['64-14=50'] Exploring Operation: 50/10=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 50/10=5 Current State: 90:[95, 5], Operations: ['64-14=50', '50/10=5'] Exploring Operation: 95-5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 97, 86, 88, 97 ]
89
[ "97-86=11", "88/11=8", "97-8=89" ]
Current State: 89:[97, 86, 88, 97], Operations: [] Exploring Operation: 97-86=11, Resulting Numbers: [88, 11] Generated Node #2: [88, 11] from Operation: 97-86=11 Current State: 89:[88, 11], Operations: ['97-86=11'] Exploring Operation: 88/11=8, Resulting Numbers: [8] 8,89 equal: Goal Reached Exploring Operation: 97-8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 43, 4, 22, 88 ]
59
[ "4*88=352", "352/22=16", "43+16=59" ]
Current State: 59:[43, 4, 22, 88], Operations: [] Exploring Operation: 4*88=352, Resulting Numbers: [43, 22, 352] Generated Node #2: [43, 22, 352] from Operation: 4*88=352 Current State: 59:[43, 22, 352], Operations: ['4*88=352'] Exploring Operation: 352/22=16, Resulting Numbers: [43, 16] Generated Node #3: [43, 16] from Operation: 352/22=16 Current State: 59:[43, 16], Operations: ['4*88=352', '352/22=16'] Exploring Operation: 43+16=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 15, 92, 43, 66 ]
60
[ "15*92=1380", "66-43=23", "1380/23=60" ]
Current State: 60:[15, 92, 43, 66], Operations: [] Exploring Operation: 15*92=1380, Resulting Numbers: [43, 66, 1380] Generated Node #2: [43, 66, 1380] from Operation: 15*92=1380 Current State: 60:[43, 66, 1380], Operations: ['15*92=1380'] Exploring Operation: 66-43=23, Resulting Numbers: [1380, 23] Generated Node #3: [1380, 23] from Operation: 66-43=23 Current State: 60:[1380, 23], Operations: ['15*92=1380', '66-43=23'] Exploring Operation: 1380/23=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 59, 55, 77, 18 ]
63
[ "59-55=4", "77-18=59", "4+59=63" ]
Current State: 63:[59, 55, 77, 18], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [77, 18, 4] Generated Node #2: [77, 18, 4] from Operation: 59-55=4 Current State: 63:[77, 18, 4], Operations: ['59-55=4'] Exploring Operation: 77-18=59, Resulting Numbers: [4, 59] Generated Node #3: [4, 59] from Operation: 77-18=59 Current State: 63:[4, 59], Operations: ['59-55=4', '77-18=59'] Exploring Operation: 4+59=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 33, 23, 36, 89 ]
86
[ "33+36=69", "69/23=3", "89-3=86" ]
Current State: 86:[33, 23, 36, 89], Operations: [] Exploring Operation: 33+36=69, Resulting Numbers: [23, 89, 69] Generated Node #2: [23, 89, 69] from Operation: 33+36=69 Current State: 86:[23, 89, 69], Operations: ['33+36=69'] Exploring Operation: 69/23=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 69/23=3 Current State: 86:[89, 3], Operations: ['33+36=69', '69/23=3'] Exploring Operation: 89-3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 12, 94, 25, 14 ]
22
[ "14-12=2", "94/2=47", "47-25=22" ]
Current State: 22:[12, 94, 25, 14], Operations: [] Exploring Operation: 14-12=2, Resulting Numbers: [94, 25, 2] Generated Node #2: [94, 25, 2] from Operation: 14-12=2 Current State: 22:[94, 25, 2], Operations: ['14-12=2'] Exploring Operation: 94/2=47, Resulting Numbers: [25, 47] Generated Node #3: [25, 47] from Operation: 94/2=47 Current State: 22:[25, 47], Operations: ['14-12=2', '94/2=47'] Exploring Operation: 47-25=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 77, 32, 42, 25 ]
71
[ "32-25=7", "42/7=6", "77-6=71" ]
Current State: 71:[77, 32, 42, 25], Operations: [] Exploring Operation: 32-25=7, Resulting Numbers: [77, 42, 7] Generated Node #2: [77, 42, 7] from Operation: 32-25=7 Current State: 71:[77, 42, 7], Operations: ['32-25=7'] Exploring Operation: 42/7=6, Resulting Numbers: [77, 6] Generated Node #3: [77, 6] from Operation: 42/7=6 Current State: 71:[77, 6], Operations: ['32-25=7', '42/7=6'] Exploring Operation: 77-6=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 43, 57, 33, 95 ]
38
[ "43+57=100", "95-33=62", "100-62=38" ]
Current State: 38:[43, 57, 33, 95], Operations: [] Exploring Operation: 43+57=100, Resulting Numbers: [33, 95, 100] Generated Node #2: [33, 95, 100] from Operation: 43+57=100 Current State: 38:[33, 95, 100], Operations: ['43+57=100'] Exploring Operation: 95-33=62, Resulting Numbers: [100, 62] Generated Node #3: [100, 62] from Operation: 95-33=62 Current State: 38:[100, 62], Operations: ['43+57=100', '95-33=62'] Exploring Operation: 100-62=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 78, 83, 91, 13 ]
99
[ "83-78=5", "91+13=104", "104-5=99" ]
Current State: 99:[78, 83, 91, 13], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [91, 13, 5] Generated Node #2: [91, 13, 5] from Operation: 83-78=5 Current State: 99:[91, 13, 5], Operations: ['83-78=5'] Exploring Operation: 91+13=104, Resulting Numbers: [5, 104] Generated Node #3: [5, 104] from Operation: 91+13=104 Current State: 99:[5, 104], Operations: ['83-78=5', '91+13=104'] Exploring Operation: 104-5=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 1, 19, 84, 2 ]
47
[ "1+84=85", "19*2=38", "85-38=47" ]
Current State: 47:[1, 19, 84, 2], Operations: [] Exploring Operation: 1+84=85, Resulting Numbers: [19, 2, 85] Generated Node #2: [19, 2, 85] from Operation: 1+84=85 Current State: 47:[19, 2, 85], Operations: ['1+84=85'] Exploring Operation: 19*2=38, Resulting Numbers: [85, 38] Generated Node #3: [85, 38] from Operation: 19*2=38 Current State: 47:[85, 38], Operations: ['1+84=85', '19*2=38'] Exploring Operation: 85-38=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 54, 14, 51, 58 ]
75
[ "54+14=68", "58-51=7", "68+7=75" ]
Current State: 75:[54, 14, 51, 58], Operations: [] Exploring Operation: 54+14=68, Resulting Numbers: [51, 58, 68] Generated Node #2: [51, 58, 68] from Operation: 54+14=68 Current State: 75:[51, 58, 68], Operations: ['54+14=68'] Exploring Operation: 58-51=7, Resulting Numbers: [68, 7] Generated Node #3: [68, 7] from Operation: 58-51=7 Current State: 75:[68, 7], Operations: ['54+14=68', '58-51=7'] Exploring Operation: 68+7=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 17, 74, 13, 6 ]
37
[ "17-13=4", "6-4=2", "74/2=37" ]
Current State: 37:[17, 74, 13, 6], Operations: [] Exploring Operation: 17-13=4, Resulting Numbers: [74, 6, 4] Generated Node #2: [74, 6, 4] from Operation: 17-13=4 Current State: 37:[74, 6, 4], Operations: ['17-13=4'] Exploring Operation: 6-4=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 6-4=2 Current State: 37:[74, 2], Operations: ['17-13=4', '6-4=2'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 17, 32, 78, 51 ]
18
[ "51/17=3", "32*3=96", "96-78=18" ]
Current State: 18:[17, 32, 78, 51], Operations: [] Exploring Operation: 51/17=3, Resulting Numbers: [32, 78, 3] Generated Node #2: [32, 78, 3] from Operation: 51/17=3 Current State: 18:[32, 78, 3], Operations: ['51/17=3'] Exploring Operation: 32*3=96, Resulting Numbers: [78, 96] Generated Node #3: [78, 96] from Operation: 32*3=96 Current State: 18:[78, 96], Operations: ['51/17=3', '32*3=96'] Exploring Operation: 96-78=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 18, 45, 41, 43 ]
46
[ "41-18=23", "45-43=2", "23*2=46" ]
Current State: 46:[18, 45, 41, 43], Operations: [] Exploring Operation: 41-18=23, Resulting Numbers: [45, 43, 23] Generated Node #2: [45, 43, 23] from Operation: 41-18=23 Current State: 46:[45, 43, 23], Operations: ['41-18=23'] Exploring Operation: 45-43=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 45-43=2 Current State: 46:[23, 2], Operations: ['41-18=23', '45-43=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 88, 66, 73, 85 ]
51
[ "88-85=3", "66/3=22", "73-22=51" ]
Current State: 51:[88, 66, 73, 85], Operations: [] Exploring Operation: 88-85=3, Resulting Numbers: [66, 73, 3] Generated Node #2: [66, 73, 3] from Operation: 88-85=3 Current State: 51:[66, 73, 3], Operations: ['88-85=3'] Exploring Operation: 66/3=22, Resulting Numbers: [73, 22] Generated Node #3: [73, 22] from Operation: 66/3=22 Current State: 51:[73, 22], Operations: ['88-85=3', '66/3=22'] Exploring Operation: 73-22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 32, 19, 21, 94 ]
79
[ "21-19=2", "94/2=47", "32+47=79" ]
Current State: 79:[32, 19, 21, 94], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [32, 94, 2] Generated Node #2: [32, 94, 2] from Operation: 21-19=2 Current State: 79:[32, 94, 2], Operations: ['21-19=2'] Exploring Operation: 94/2=47, Resulting Numbers: [32, 47] Generated Node #3: [32, 47] from Operation: 94/2=47 Current State: 79:[32, 47], Operations: ['21-19=2', '94/2=47'] Exploring Operation: 32+47=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 34, 30, 20, 35 ]
49
[ "34+30=64", "35-20=15", "64-15=49" ]
Current State: 49:[34, 30, 20, 35], Operations: [] Exploring Operation: 34+30=64, Resulting Numbers: [20, 35, 64] Generated Node #2: [20, 35, 64] from Operation: 34+30=64 Current State: 49:[20, 35, 64], Operations: ['34+30=64'] Exploring Operation: 35-20=15, Resulting Numbers: [64, 15] Generated Node #3: [64, 15] from Operation: 35-20=15 Current State: 49:[64, 15], Operations: ['34+30=64', '35-20=15'] Exploring Operation: 64-15=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 46, 13, 21, 42 ]
54
[ "46-13=33", "42-21=21", "33+21=54" ]
Current State: 54:[46, 13, 21, 42], Operations: [] Exploring Operation: 46-13=33, Resulting Numbers: [21, 42, 33] Generated Node #2: [21, 42, 33] from Operation: 46-13=33 Current State: 54:[21, 42, 33], Operations: ['46-13=33'] Exploring Operation: 42-21=21, Resulting Numbers: [33, 21] Generated Node #3: [33, 21] from Operation: 42-21=21 Current State: 54:[33, 21], Operations: ['46-13=33', '42-21=21'] Exploring Operation: 33+21=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 26, 51, 7, 4 ]
14
[ "51-26=25", "7+4=11", "25-11=14" ]
Current State: 14:[26, 51, 7, 4], Operations: [] Exploring Operation: 51-26=25, Resulting Numbers: [7, 4, 25] Generated Node #2: [7, 4, 25] from Operation: 51-26=25 Current State: 14:[7, 4, 25], Operations: ['51-26=25'] Exploring Operation: 7+4=11, Resulting Numbers: [25, 11] Generated Node #3: [25, 11] from Operation: 7+4=11 Current State: 14:[25, 11], Operations: ['51-26=25', '7+4=11'] Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 59, 93, 63, 3 ]
93
[ "63-59=4", "4-3=1", "93*1=93" ]
Current State: 93:[59, 93, 63, 3], Operations: [] Exploring Operation: 63-59=4, Resulting Numbers: [93, 3, 4] Generated Node #2: [93, 3, 4] from Operation: 63-59=4 Current State: 93:[93, 3, 4], Operations: ['63-59=4'] Exploring Operation: 4-3=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 4-3=1 Current State: 93:[93, 1], Operations: ['63-59=4', '4-3=1'] Exploring Operation: 93*1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 79, 8, 72, 19 ]
96
[ "79-72=7", "19-7=12", "8*12=96" ]
Current State: 96:[79, 8, 72, 19], Operations: [] Exploring Operation: 79-72=7, Resulting Numbers: [8, 19, 7] Generated Node #2: [8, 19, 7] from Operation: 79-72=7 Current State: 96:[8, 19, 7], Operations: ['79-72=7'] Exploring Operation: 19-7=12, Resulting Numbers: [8, 12] Generated Node #3: [8, 12] from Operation: 19-7=12 Current State: 96:[8, 12], Operations: ['79-72=7', '19-7=12'] Exploring Operation: 8*12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 16, 78, 59, 2 ]
82
[ "59-16=43", "78/2=39", "43+39=82" ]
Current State: 82:[16, 78, 59, 2], Operations: [] Exploring Operation: 59-16=43, Resulting Numbers: [78, 2, 43] Generated Node #2: [78, 2, 43] from Operation: 59-16=43 Current State: 82:[78, 2, 43], Operations: ['59-16=43'] Exploring Operation: 78/2=39, Resulting Numbers: [43, 39] Generated Node #3: [43, 39] from Operation: 78/2=39 Current State: 82:[43, 39], Operations: ['59-16=43', '78/2=39'] Exploring Operation: 43+39=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 8, 86, 67, 77 ]
88
[ "86-8=78", "77-67=10", "78+10=88" ]
Current State: 88:[8, 86, 67, 77], Operations: [] Exploring Operation: 86-8=78, Resulting Numbers: [67, 77, 78] Generated Node #2: [67, 77, 78] from Operation: 86-8=78 Current State: 88:[67, 77, 78], Operations: ['86-8=78'] Exploring Operation: 77-67=10, Resulting Numbers: [78, 10] Generated Node #3: [78, 10] from Operation: 77-67=10 Current State: 88:[78, 10], Operations: ['86-8=78', '77-67=10'] Exploring Operation: 78+10=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 38, 26, 38, 96 ]
30
[ "38-26=12", "96/12=8", "38-8=30" ]
Current State: 30:[38, 26, 38, 96], Operations: [] Exploring Operation: 38-26=12, Resulting Numbers: [96, 12] Generated Node #2: [96, 12] from Operation: 38-26=12 Current State: 30:[96, 12], Operations: ['38-26=12'] Exploring Operation: 96/12=8, Resulting Numbers: [8] 8,30 equal: Goal Reached Exploring Operation: 38-8=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 11, 27, 54, 79 ]
63
[ "11+27=38", "79-54=25", "38+25=63" ]
Current State: 63:[11, 27, 54, 79], Operations: [] Exploring Operation: 11+27=38, Resulting Numbers: [54, 79, 38] Generated Node #2: [54, 79, 38] from Operation: 11+27=38 Current State: 63:[54, 79, 38], Operations: ['11+27=38'] Exploring Operation: 79-54=25, Resulting Numbers: [38, 25] Generated Node #3: [38, 25] from Operation: 79-54=25 Current State: 63:[38, 25], Operations: ['11+27=38', '79-54=25'] Exploring Operation: 38+25=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 69, 57, 62, 2 ]
38
[ "69-57=12", "2*12=24", "62-24=38" ]
Current State: 38:[69, 57, 62, 2], Operations: [] Exploring Operation: 69-57=12, Resulting Numbers: [62, 2, 12] Generated Node #2: [62, 2, 12] from Operation: 69-57=12 Current State: 38:[62, 2, 12], Operations: ['69-57=12'] Exploring Operation: 2*12=24, Resulting Numbers: [62, 24] Generated Node #3: [62, 24] from Operation: 2*12=24 Current State: 38:[62, 24], Operations: ['69-57=12', '2*12=24'] Exploring Operation: 62-24=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 26, 55, 50, 10 ]
69
[ "55-26=29", "50-10=40", "29+40=69" ]
Current State: 69:[26, 55, 50, 10], Operations: [] Exploring Operation: 55-26=29, Resulting Numbers: [50, 10, 29] Generated Node #2: [50, 10, 29] from Operation: 55-26=29 Current State: 69:[50, 10, 29], Operations: ['55-26=29'] Exploring Operation: 50-10=40, Resulting Numbers: [29, 40] Generated Node #3: [29, 40] from Operation: 50-10=40 Current State: 69:[29, 40], Operations: ['55-26=29', '50-10=40'] Exploring Operation: 29+40=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 78, 72, 25, 12 ]
50
[ "78-72=6", "25*12=300", "300/6=50" ]
Current State: 50:[78, 72, 25, 12], Operations: [] Exploring Operation: 78-72=6, Resulting Numbers: [25, 12, 6] Generated Node #2: [25, 12, 6] from Operation: 78-72=6 Current State: 50:[25, 12, 6], Operations: ['78-72=6'] Exploring Operation: 25*12=300, Resulting Numbers: [6, 300] Generated Node #3: [6, 300] from Operation: 25*12=300 Current State: 50:[6, 300], Operations: ['78-72=6', '25*12=300'] Exploring Operation: 300/6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 85, 48, 59, 96 ]
72
[ "85+59=144", "96/48=2", "144/2=72" ]
Current State: 72:[85, 48, 59, 96], Operations: [] Exploring Operation: 85+59=144, Resulting Numbers: [48, 96, 144] Generated Node #2: [48, 96, 144] from Operation: 85+59=144 Current State: 72:[48, 96, 144], Operations: ['85+59=144'] Exploring Operation: 96/48=2, Resulting Numbers: [144, 2] Generated Node #3: [144, 2] from Operation: 96/48=2 Current State: 72:[144, 2], Operations: ['85+59=144', '96/48=2'] Exploring Operation: 144/2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 46, 20, 14, 54 ]
26
[ "46+20=66", "54-14=40", "66-40=26" ]
Current State: 26:[46, 20, 14, 54], Operations: [] Exploring Operation: 46+20=66, Resulting Numbers: [14, 54, 66] Generated Node #2: [14, 54, 66] from Operation: 46+20=66 Current State: 26:[14, 54, 66], Operations: ['46+20=66'] Exploring Operation: 54-14=40, Resulting Numbers: [66, 40] Generated Node #3: [66, 40] from Operation: 54-14=40 Current State: 26:[66, 40], Operations: ['46+20=66', '54-14=40'] Exploring Operation: 66-40=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4