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
[ 84, 68, 4, 63 ]
55
[ "68*63=4284", "4284/84=51", "4+51=55" ]
Current State: 55:[84, 68, 4, 63], Operations: [] Exploring Operation: 68*63=4284, Resulting Numbers: [84, 4, 4284] Generated Node #2: [84, 4, 4284] from Operation: 68*63=4284 Current State: 55:[84, 4, 4284], Operations: ['68*63=4284'] Exploring Operation: 4284/84=51, Resulting Numbers: [4, 51] Generated Node #3: [4, 51] from Operation: 4284/84=51 Current State: 55:[4, 51], Operations: ['68*63=4284', '4284/84=51'] Exploring Operation: 4+51=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 16, 16, 24, 28 ]
10
[ "16*16=256", "24+256=280", "280/28=10" ]
Current State: 10:[16, 16, 24, 28], Operations: [] Exploring Operation: 16*16=256, Resulting Numbers: [24, 28, 256] Generated Node #2: [24, 28, 256] from Operation: 16*16=256 Current State: 10:[24, 28, 256], Operations: ['16*16=256'] Exploring Operation: 24+256=280, Resulting Numbers: [28, 280] Generated Node #3: [28, 280] from Operation: 24+256=280 Current State: 10:[28, 280], Operations: ['16*16=256', '24+256=280'] Exploring Operation: 280/28=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 91, 24, 72, 3 ]
59
[ "24+72=96", "96/3=32", "91-32=59" ]
Current State: 59:[91, 24, 72, 3], Operations: [] Exploring Operation: 24+72=96, Resulting Numbers: [91, 3, 96] Generated Node #2: [91, 3, 96] from Operation: 24+72=96 Current State: 59:[91, 3, 96], Operations: ['24+72=96'] Exploring Operation: 96/3=32, Resulting Numbers: [91, 32] Generated Node #3: [91, 32] from Operation: 96/3=32 Current State: 59:[91, 32], Operations: ['24+72=96', '96/3=32'] Exploring Operation: 91-32=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 6, 75, 77, 33 ]
29
[ "6+75=81", "77+33=110", "110-81=29" ]
Current State: 29:[6, 75, 77, 33], Operations: [] Exploring Operation: 6+75=81, Resulting Numbers: [77, 33, 81] Generated Node #2: [77, 33, 81] from Operation: 6+75=81 Current State: 29:[77, 33, 81], Operations: ['6+75=81'] Exploring Operation: 77+33=110, Resulting Numbers: [81, 110] Generated Node #3: [81, 110] from Operation: 77+33=110 Current State: 29:[81, 110], Operations: ['6+75=81', '77+33=110'] Exploring Operation: 110-81=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 67, 13, 41, 27 ]
80
[ "41*27=1107", "1107-67=1040", "1040/13=80" ]
Current State: 80:[67, 13, 41, 27], Operations: [] Exploring Operation: 41*27=1107, Resulting Numbers: [67, 13, 1107] Generated Node #2: [67, 13, 1107] from Operation: 41*27=1107 Current State: 80:[67, 13, 1107], Operations: ['41*27=1107'] Exploring Operation: 1107-67=1040, Resulting Numbers: [13, 1040] Generated Node #3: [13, 1040] from Operation: 1107-67=1040 Current State: 80:[13, 1040], Operations: ['41*27=1107', '1107-67=1040'] Exploring Operation: 1040/13=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 4, 72, 97, 8 ]
23
[ "8/4=2", "97-72=25", "25-2=23" ]
Current State: 23:[4, 72, 97, 8], Operations: [] Exploring Operation: 8/4=2, Resulting Numbers: [72, 97, 2] Generated Node #2: [72, 97, 2] from Operation: 8/4=2 Current State: 23:[72, 97, 2], Operations: ['8/4=2'] Exploring Operation: 97-72=25, Resulting Numbers: [2, 25] Generated Node #3: [2, 25] from Operation: 97-72=25 Current State: 23:[2, 25], Operations: ['8/4=2', '97-72=25'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 29, 60, 40, 84 ]
97
[ "60*84=5040", "5040/40=126", "126-29=97" ]
Current State: 97:[29, 60, 40, 84], Operations: [] Exploring Operation: 60*84=5040, Resulting Numbers: [29, 40, 5040] Generated Node #2: [29, 40, 5040] from Operation: 60*84=5040 Current State: 97:[29, 40, 5040], Operations: ['60*84=5040'] Exploring Operation: 5040/40=126, Resulting Numbers: [29, 126] Generated Node #3: [29, 126] from Operation: 5040/40=126 Current State: 97:[29, 126], Operations: ['60*84=5040', '5040/40=126'] Exploring Operation: 126-29=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 96, 32, 23, 10 ]
16
[ "96/32=3", "23-10=13", "3+13=16" ]
Current State: 16:[96, 32, 23, 10], Operations: [] Exploring Operation: 96/32=3, Resulting Numbers: [23, 10, 3] Generated Node #2: [23, 10, 3] from Operation: 96/32=3 Current State: 16:[23, 10, 3], Operations: ['96/32=3'] Exploring Operation: 23-10=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 23-10=13 Current State: 16:[3, 13], Operations: ['96/32=3', '23-10=13'] Exploring Operation: 3+13=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 60, 20, 58, 4 ]
36
[ "60-58=2", "20*2=40", "40-4=36" ]
Current State: 36:[60, 20, 58, 4], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [20, 4, 2] Generated Node #2: [20, 4, 2] from Operation: 60-58=2 Current State: 36:[20, 4, 2], Operations: ['60-58=2'] Exploring Operation: 20*2=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 20*2=40 Current State: 36:[4, 40], Operations: ['60-58=2', '20*2=40'] Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 82, 17, 76, 81 ]
58
[ "82+17=99", "76+81=157", "157-99=58" ]
Current State: 58:[82, 17, 76, 81], Operations: [] Exploring Operation: 82+17=99, Resulting Numbers: [76, 81, 99] Generated Node #2: [76, 81, 99] from Operation: 82+17=99 Current State: 58:[76, 81, 99], Operations: ['82+17=99'] Exploring Operation: 76+81=157, Resulting Numbers: [99, 157] Generated Node #3: [99, 157] from Operation: 76+81=157 Current State: 58:[99, 157], Operations: ['82+17=99', '76+81=157'] Exploring Operation: 157-99=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 40, 37, 55, 86 ]
64
[ "40+37=77", "55+86=141", "141-77=64" ]
Current State: 64:[40, 37, 55, 86], Operations: [] Exploring Operation: 40+37=77, Resulting Numbers: [55, 86, 77] Generated Node #2: [55, 86, 77] from Operation: 40+37=77 Current State: 64:[55, 86, 77], Operations: ['40+37=77'] Exploring Operation: 55+86=141, Resulting Numbers: [77, 141] Generated Node #3: [77, 141] from Operation: 55+86=141 Current State: 64:[77, 141], Operations: ['40+37=77', '55+86=141'] Exploring Operation: 141-77=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 48, 49, 2, 75 ]
50
[ "48/2=24", "75-49=26", "24+26=50" ]
Current State: 50:[48, 49, 2, 75], Operations: [] Exploring Operation: 48/2=24, Resulting Numbers: [49, 75, 24] Generated Node #2: [49, 75, 24] from Operation: 48/2=24 Current State: 50:[49, 75, 24], Operations: ['48/2=24'] Exploring Operation: 75-49=26, Resulting Numbers: [24, 26] Generated Node #3: [24, 26] from Operation: 75-49=26 Current State: 50:[24, 26], Operations: ['48/2=24', '75-49=26'] Exploring Operation: 24+26=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 82, 44, 23, 41 ]
56
[ "82-44=38", "41-23=18", "38+18=56" ]
Current State: 56:[82, 44, 23, 41], Operations: [] Exploring Operation: 82-44=38, Resulting Numbers: [23, 41, 38] Generated Node #2: [23, 41, 38] from Operation: 82-44=38 Current State: 56:[23, 41, 38], Operations: ['82-44=38'] Exploring Operation: 41-23=18, Resulting Numbers: [38, 18] Generated Node #3: [38, 18] from Operation: 41-23=18 Current State: 56:[38, 18], Operations: ['82-44=38', '41-23=18'] Exploring Operation: 38+18=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 21, 18, 14, 6 ]
23
[ "21-18=3", "14+6=20", "3+20=23" ]
Current State: 23:[21, 18, 14, 6], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [14, 6, 3] Generated Node #2: [14, 6, 3] from Operation: 21-18=3 Current State: 23:[14, 6, 3], Operations: ['21-18=3'] Exploring Operation: 14+6=20, Resulting Numbers: [3, 20] Generated Node #3: [3, 20] from Operation: 14+6=20 Current State: 23:[3, 20], Operations: ['21-18=3', '14+6=20'] Exploring Operation: 3+20=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 88, 12, 5, 71 ]
97
[ "88-71=17", "5*17=85", "12+85=97" ]
Current State: 97:[88, 12, 5, 71], Operations: [] Exploring Operation: 88-71=17, Resulting Numbers: [12, 5, 17] Generated Node #2: [12, 5, 17] from Operation: 88-71=17 Current State: 97:[12, 5, 17], Operations: ['88-71=17'] Exploring Operation: 5*17=85, Resulting Numbers: [12, 85] Generated Node #3: [12, 85] from Operation: 5*17=85 Current State: 97:[12, 85], Operations: ['88-71=17', '5*17=85'] Exploring Operation: 12+85=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 68, 33, 2, 25 ]
52
[ "33-25=8", "2*8=16", "68-16=52" ]
Current State: 52:[68, 33, 2, 25], Operations: [] Exploring Operation: 33-25=8, Resulting Numbers: [68, 2, 8] Generated Node #2: [68, 2, 8] from Operation: 33-25=8 Current State: 52:[68, 2, 8], Operations: ['33-25=8'] Exploring Operation: 2*8=16, Resulting Numbers: [68, 16] Generated Node #3: [68, 16] from Operation: 2*8=16 Current State: 52:[68, 16], Operations: ['33-25=8', '2*8=16'] Exploring Operation: 68-16=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 97, 45, 68, 80 ]
49
[ "97-80=17", "68/17=4", "45+4=49" ]
Current State: 49:[97, 45, 68, 80], Operations: [] Exploring Operation: 97-80=17, Resulting Numbers: [45, 68, 17] Generated Node #2: [45, 68, 17] from Operation: 97-80=17 Current State: 49:[45, 68, 17], Operations: ['97-80=17'] Exploring Operation: 68/17=4, Resulting Numbers: [45, 4] Generated Node #3: [45, 4] from Operation: 68/17=4 Current State: 49:[45, 4], Operations: ['97-80=17', '68/17=4'] Exploring Operation: 45+4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 76, 56, 2, 36 ]
12
[ "76-36=40", "56/2=28", "40-28=12" ]
Current State: 12:[76, 56, 2, 36], Operations: [] Exploring Operation: 76-36=40, Resulting Numbers: [56, 2, 40] Generated Node #2: [56, 2, 40] from Operation: 76-36=40 Current State: 12:[56, 2, 40], Operations: ['76-36=40'] Exploring Operation: 56/2=28, Resulting Numbers: [40, 28] Generated Node #3: [40, 28] from Operation: 56/2=28 Current State: 12:[40, 28], Operations: ['76-36=40', '56/2=28'] Exploring Operation: 40-28=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 8, 94, 64, 70 ]
92
[ "94-8=86", "70-64=6", "86+6=92" ]
Current State: 92:[8, 94, 64, 70], Operations: [] Exploring Operation: 94-8=86, Resulting Numbers: [64, 70, 86] Generated Node #2: [64, 70, 86] from Operation: 94-8=86 Current State: 92:[64, 70, 86], Operations: ['94-8=86'] Exploring Operation: 70-64=6, Resulting Numbers: [86, 6] Generated Node #3: [86, 6] from Operation: 70-64=6 Current State: 92:[86, 6], Operations: ['94-8=86', '70-64=6'] Exploring Operation: 86+6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 31, 2, 32, 87 ]
79
[ "87-32=55", "2*55=110", "110-31=79" ]
Current State: 79:[31, 2, 32, 87], Operations: [] Exploring Operation: 87-32=55, Resulting Numbers: [31, 2, 55] Generated Node #2: [31, 2, 55] from Operation: 87-32=55 Current State: 79:[31, 2, 55], Operations: ['87-32=55'] Exploring Operation: 2*55=110, Resulting Numbers: [31, 110] Generated Node #3: [31, 110] from Operation: 2*55=110 Current State: 79:[31, 110], Operations: ['87-32=55', '2*55=110'] Exploring Operation: 110-31=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 24, 67, 69, 24 ]
48
[ "24*67=1608", "69*24=1656", "1656-1608=48" ]
Current State: 48:[24, 67, 69, 24], Operations: [] Exploring Operation: 24*67=1608, Resulting Numbers: [69, 1608] Generated Node #2: [69, 1608] from Operation: 24*67=1608 Current State: 48:[69, 1608], Operations: ['24*67=1608'] Exploring Operation: 69*24=1656, Resulting Numbers: [1608, 1656] Generated Node #3: [1608, 1656] from Operation: 69*24=1656 Current State: 48:[1608, 1656], Operations: ['24*67=1608', '69*24=1656'] Exploring Operation: 1656-1608=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 78, 28, 3, 77 ]
31
[ "78-77=1", "28+3=31", "1*31=31" ]
Current State: 31:[78, 28, 3, 77], Operations: [] Exploring Operation: 78-77=1, Resulting Numbers: [28, 3, 1] Generated Node #2: [28, 3, 1] from Operation: 78-77=1 Current State: 31:[28, 3, 1], Operations: ['78-77=1'] Exploring Operation: 28+3=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 28+3=31 Current State: 31:[1, 31], Operations: ['78-77=1', '28+3=31'] Exploring Operation: 1*31=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 48, 26, 33, 73 ]
18
[ "48-26=22", "73-33=40", "40-22=18" ]
Current State: 18:[48, 26, 33, 73], Operations: [] Exploring Operation: 48-26=22, Resulting Numbers: [33, 73, 22] Generated Node #2: [33, 73, 22] from Operation: 48-26=22 Current State: 18:[33, 73, 22], Operations: ['48-26=22'] Exploring Operation: 73-33=40, Resulting Numbers: [22, 40] Generated Node #3: [22, 40] from Operation: 73-33=40 Current State: 18:[22, 40], Operations: ['48-26=22', '73-33=40'] Exploring Operation: 40-22=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 71, 71, 47, 10 ]
10
[ "71-71=0", "47*0=0", "10+0=10" ]
Current State: 10:[71, 71, 47, 10], Operations: [] Exploring Operation: 71-71=0, Resulting Numbers: [47, 10, 0] Generated Node #2: [47, 10, 0] from Operation: 71-71=0 Current State: 10:[47, 10, 0], Operations: ['71-71=0'] Exploring Operation: 47*0=0, Resulting Numbers: [10, 0] Generated Node #3: [10, 0] from Operation: 47*0=0 Current State: 10:[10, 0], Operations: ['71-71=0', '47*0=0'] Exploring Operation: 10+0=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 2, 73, 55, 50 ]
16
[ "73-55=18", "50-18=32", "32/2=16" ]
Current State: 16:[2, 73, 55, 50], Operations: [] Exploring Operation: 73-55=18, Resulting Numbers: [2, 50, 18] Generated Node #2: [2, 50, 18] from Operation: 73-55=18 Current State: 16:[2, 50, 18], Operations: ['73-55=18'] Exploring Operation: 50-18=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 50-18=32 Current State: 16:[2, 32], Operations: ['73-55=18', '50-18=32'] Exploring Operation: 32/2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 65, 61, 53, 26 ]
83
[ "65-61=4", "53+26=79", "4+79=83" ]
Current State: 83:[65, 61, 53, 26], Operations: [] Exploring Operation: 65-61=4, Resulting Numbers: [53, 26, 4] Generated Node #2: [53, 26, 4] from Operation: 65-61=4 Current State: 83:[53, 26, 4], Operations: ['65-61=4'] Exploring Operation: 53+26=79, Resulting Numbers: [4, 79] Generated Node #3: [4, 79] from Operation: 53+26=79 Current State: 83:[4, 79], Operations: ['65-61=4', '53+26=79'] Exploring Operation: 4+79=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 25, 5, 90, 14 ]
63
[ "25-5=20", "90*14=1260", "1260/20=63" ]
Current State: 63:[25, 5, 90, 14], Operations: [] Exploring Operation: 25-5=20, Resulting Numbers: [90, 14, 20] Generated Node #2: [90, 14, 20] from Operation: 25-5=20 Current State: 63:[90, 14, 20], Operations: ['25-5=20'] Exploring Operation: 90*14=1260, Resulting Numbers: [20, 1260] Generated Node #3: [20, 1260] from Operation: 90*14=1260 Current State: 63:[20, 1260], Operations: ['25-5=20', '90*14=1260'] Exploring Operation: 1260/20=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 5, 87, 55, 41 ]
78
[ "5+87=92", "55-41=14", "92-14=78" ]
Current State: 78:[5, 87, 55, 41], Operations: [] Exploring Operation: 5+87=92, Resulting Numbers: [55, 41, 92] Generated Node #2: [55, 41, 92] from Operation: 5+87=92 Current State: 78:[55, 41, 92], Operations: ['5+87=92'] Exploring Operation: 55-41=14, Resulting Numbers: [92, 14] Generated Node #3: [92, 14] from Operation: 55-41=14 Current State: 78:[92, 14], Operations: ['5+87=92', '55-41=14'] Exploring Operation: 92-14=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 40, 69, 50, 18 ]
39
[ "69-40=29", "50+18=68", "68-29=39" ]
Current State: 39:[40, 69, 50, 18], Operations: [] Exploring Operation: 69-40=29, Resulting Numbers: [50, 18, 29] Generated Node #2: [50, 18, 29] from Operation: 69-40=29 Current State: 39:[50, 18, 29], Operations: ['69-40=29'] Exploring Operation: 50+18=68, Resulting Numbers: [29, 68] Generated Node #3: [29, 68] from Operation: 50+18=68 Current State: 39:[29, 68], Operations: ['69-40=29', '50+18=68'] Exploring Operation: 68-29=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 2, 85, 62, 53 ]
63
[ "62/2=31", "85-53=32", "31+32=63" ]
Current State: 63:[2, 85, 62, 53], Operations: [] Exploring Operation: 62/2=31, Resulting Numbers: [85, 53, 31] Generated Node #2: [85, 53, 31] from Operation: 62/2=31 Current State: 63:[85, 53, 31], Operations: ['62/2=31'] Exploring Operation: 85-53=32, Resulting Numbers: [31, 32] Generated Node #3: [31, 32] from Operation: 85-53=32 Current State: 63:[31, 32], Operations: ['62/2=31', '85-53=32'] Exploring Operation: 31+32=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 36, 77, 3, 78 ]
39
[ "36+3=39", "78-77=1", "39*1=39" ]
Current State: 39:[36, 77, 3, 78], Operations: [] Exploring Operation: 36+3=39, Resulting Numbers: [77, 78, 39] Generated Node #2: [77, 78, 39] from Operation: 36+3=39 Current State: 39:[77, 78, 39], Operations: ['36+3=39'] Exploring Operation: 78-77=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 78-77=1 Current State: 39:[39, 1], Operations: ['36+3=39', '78-77=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 56, 92, 76, 26 ]
98
[ "56+92=148", "76-26=50", "148-50=98" ]
Current State: 98:[56, 92, 76, 26], Operations: [] Exploring Operation: 56+92=148, Resulting Numbers: [76, 26, 148] Generated Node #2: [76, 26, 148] from Operation: 56+92=148 Current State: 98:[76, 26, 148], Operations: ['56+92=148'] Exploring Operation: 76-26=50, Resulting Numbers: [148, 50] Generated Node #3: [148, 50] from Operation: 76-26=50 Current State: 98:[148, 50], Operations: ['56+92=148', '76-26=50'] Exploring Operation: 148-50=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 68, 60, 90, 96 ]
58
[ "68+60=128", "90+96=186", "186-128=58" ]
Current State: 58:[68, 60, 90, 96], Operations: [] Exploring Operation: 68+60=128, Resulting Numbers: [90, 96, 128] Generated Node #2: [90, 96, 128] from Operation: 68+60=128 Current State: 58:[90, 96, 128], Operations: ['68+60=128'] Exploring Operation: 90+96=186, Resulting Numbers: [128, 186] Generated Node #3: [128, 186] from Operation: 90+96=186 Current State: 58:[128, 186], Operations: ['68+60=128', '90+96=186'] Exploring Operation: 186-128=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 64, 82, 80, 96 ]
69
[ "82*80=6560", "64+6560=6624", "6624/96=69" ]
Current State: 69:[64, 82, 80, 96], Operations: [] Exploring Operation: 82*80=6560, Resulting Numbers: [64, 96, 6560] Generated Node #2: [64, 96, 6560] from Operation: 82*80=6560 Current State: 69:[64, 96, 6560], Operations: ['82*80=6560'] Exploring Operation: 64+6560=6624, Resulting Numbers: [96, 6624] Generated Node #3: [96, 6624] from Operation: 64+6560=6624 Current State: 69:[96, 6624], Operations: ['82*80=6560', '64+6560=6624'] Exploring Operation: 6624/96=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 32, 54, 62, 4 ]
61
[ "54+62=116", "116/4=29", "32+29=61" ]
Current State: 61:[32, 54, 62, 4], Operations: [] Exploring Operation: 54+62=116, Resulting Numbers: [32, 4, 116] Generated Node #2: [32, 4, 116] from Operation: 54+62=116 Current State: 61:[32, 4, 116], Operations: ['54+62=116'] Exploring Operation: 116/4=29, Resulting Numbers: [32, 29] Generated Node #3: [32, 29] from Operation: 116/4=29 Current State: 61:[32, 29], Operations: ['54+62=116', '116/4=29'] Exploring Operation: 32+29=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 87, 80, 84, 13 ]
90
[ "87-80=7", "84+13=97", "97-7=90" ]
Current State: 90:[87, 80, 84, 13], Operations: [] Exploring Operation: 87-80=7, Resulting Numbers: [84, 13, 7] Generated Node #2: [84, 13, 7] from Operation: 87-80=7 Current State: 90:[84, 13, 7], Operations: ['87-80=7'] Exploring Operation: 84+13=97, Resulting Numbers: [7, 97] Generated Node #3: [7, 97] from Operation: 84+13=97 Current State: 90:[7, 97], Operations: ['87-80=7', '84+13=97'] Exploring Operation: 97-7=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 10, 2, 8, 27 ]
31
[ "10+2=12", "27-8=19", "12+19=31" ]
Current State: 31:[10, 2, 8, 27], Operations: [] Exploring Operation: 10+2=12, Resulting Numbers: [8, 27, 12] Generated Node #2: [8, 27, 12] from Operation: 10+2=12 Current State: 31:[8, 27, 12], Operations: ['10+2=12'] Exploring Operation: 27-8=19, Resulting Numbers: [12, 19] Generated Node #3: [12, 19] from Operation: 27-8=19 Current State: 31:[12, 19], Operations: ['10+2=12', '27-8=19'] Exploring Operation: 12+19=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 16, 39, 56, 24 ]
25
[ "16+39=55", "56+24=80", "80-55=25" ]
Current State: 25:[16, 39, 56, 24], Operations: [] Exploring Operation: 16+39=55, Resulting Numbers: [56, 24, 55] Generated Node #2: [56, 24, 55] from Operation: 16+39=55 Current State: 25:[56, 24, 55], Operations: ['16+39=55'] Exploring Operation: 56+24=80, Resulting Numbers: [55, 80] Generated Node #3: [55, 80] from Operation: 56+24=80 Current State: 25:[55, 80], Operations: ['16+39=55', '56+24=80'] Exploring Operation: 80-55=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 32, 10, 47, 68 ]
93
[ "32-10=22", "47+68=115", "115-22=93" ]
Current State: 93:[32, 10, 47, 68], Operations: [] Exploring Operation: 32-10=22, Resulting Numbers: [47, 68, 22] Generated Node #2: [47, 68, 22] from Operation: 32-10=22 Current State: 93:[47, 68, 22], Operations: ['32-10=22'] Exploring Operation: 47+68=115, Resulting Numbers: [22, 115] Generated Node #3: [22, 115] from Operation: 47+68=115 Current State: 93:[22, 115], Operations: ['32-10=22', '47+68=115'] Exploring Operation: 115-22=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 2, 45, 57, 88 ]
55
[ "2*45=90", "57+88=145", "145-90=55" ]
Current State: 55:[2, 45, 57, 88], Operations: [] Exploring Operation: 2*45=90, Resulting Numbers: [57, 88, 90] Generated Node #2: [57, 88, 90] from Operation: 2*45=90 Current State: 55:[57, 88, 90], Operations: ['2*45=90'] Exploring Operation: 57+88=145, Resulting Numbers: [90, 145] Generated Node #3: [90, 145] from Operation: 57+88=145 Current State: 55:[90, 145], Operations: ['2*45=90', '57+88=145'] Exploring Operation: 145-90=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 26, 3, 76, 67 ]
99
[ "26+76=102", "3*67=201", "201-102=99" ]
Current State: 99:[26, 3, 76, 67], Operations: [] Exploring Operation: 26+76=102, Resulting Numbers: [3, 67, 102] Generated Node #2: [3, 67, 102] from Operation: 26+76=102 Current State: 99:[3, 67, 102], Operations: ['26+76=102'] Exploring Operation: 3*67=201, Resulting Numbers: [102, 201] Generated Node #3: [102, 201] from Operation: 3*67=201 Current State: 99:[102, 201], Operations: ['26+76=102', '3*67=201'] Exploring Operation: 201-102=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 88, 7, 92, 4 ]
60
[ "88+92=180", "7-4=3", "180/3=60" ]
Current State: 60:[88, 7, 92, 4], Operations: [] Exploring Operation: 88+92=180, Resulting Numbers: [7, 4, 180] Generated Node #2: [7, 4, 180] from Operation: 88+92=180 Current State: 60:[7, 4, 180], Operations: ['88+92=180'] Exploring Operation: 7-4=3, Resulting Numbers: [180, 3] Generated Node #3: [180, 3] from Operation: 7-4=3 Current State: 60:[180, 3], Operations: ['88+92=180', '7-4=3'] Exploring Operation: 180/3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 54, 4, 45, 77 ]
30
[ "54*45=2430", "4+77=81", "2430/81=30" ]
Current State: 30:[54, 4, 45, 77], Operations: [] Exploring Operation: 54*45=2430, Resulting Numbers: [4, 77, 2430] Generated Node #2: [4, 77, 2430] from Operation: 54*45=2430 Current State: 30:[4, 77, 2430], Operations: ['54*45=2430'] Exploring Operation: 4+77=81, Resulting Numbers: [2430, 81] Generated Node #3: [2430, 81] from Operation: 4+77=81 Current State: 30:[2430, 81], Operations: ['54*45=2430', '4+77=81'] Exploring Operation: 2430/81=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 41, 32, 77, 46 ]
42
[ "41+32=73", "77-46=31", "73-31=42" ]
Current State: 42:[41, 32, 77, 46], Operations: [] Exploring Operation: 41+32=73, Resulting Numbers: [77, 46, 73] Generated Node #2: [77, 46, 73] from Operation: 41+32=73 Current State: 42:[77, 46, 73], Operations: ['41+32=73'] Exploring Operation: 77-46=31, Resulting Numbers: [73, 31] Generated Node #3: [73, 31] from Operation: 77-46=31 Current State: 42:[73, 31], Operations: ['41+32=73', '77-46=31'] Exploring Operation: 73-31=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 32, 30, 5, 26 ]
29
[ "32-30=2", "5+26=31", "31-2=29" ]
Current State: 29:[32, 30, 5, 26], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [5, 26, 2] Generated Node #2: [5, 26, 2] from Operation: 32-30=2 Current State: 29:[5, 26, 2], Operations: ['32-30=2'] Exploring Operation: 5+26=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 5+26=31 Current State: 29:[2, 31], Operations: ['32-30=2', '5+26=31'] Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 66, 90, 6, 28 ]
35
[ "66+6=72", "90*28=2520", "2520/72=35" ]
Current State: 35:[66, 90, 6, 28], Operations: [] Exploring Operation: 66+6=72, Resulting Numbers: [90, 28, 72] Generated Node #2: [90, 28, 72] from Operation: 66+6=72 Current State: 35:[90, 28, 72], Operations: ['66+6=72'] Exploring Operation: 90*28=2520, Resulting Numbers: [72, 2520] Generated Node #3: [72, 2520] from Operation: 90*28=2520 Current State: 35:[72, 2520], Operations: ['66+6=72', '90*28=2520'] Exploring Operation: 2520/72=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 63, 64, 5, 26 ]
45
[ "64+26=90", "90/5=18", "63-18=45" ]
Current State: 45:[63, 64, 5, 26], Operations: [] Exploring Operation: 64+26=90, Resulting Numbers: [63, 5, 90] Generated Node #2: [63, 5, 90] from Operation: 64+26=90 Current State: 45:[63, 5, 90], Operations: ['64+26=90'] Exploring Operation: 90/5=18, Resulting Numbers: [63, 18] Generated Node #3: [63, 18] from Operation: 90/5=18 Current State: 45:[63, 18], Operations: ['64+26=90', '90/5=18'] Exploring Operation: 63-18=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 13, 24, 58, 94 ]
47
[ "24-13=11", "94-58=36", "11+36=47" ]
Current State: 47:[13, 24, 58, 94], Operations: [] Exploring Operation: 24-13=11, Resulting Numbers: [58, 94, 11] Generated Node #2: [58, 94, 11] from Operation: 24-13=11 Current State: 47:[58, 94, 11], Operations: ['24-13=11'] Exploring Operation: 94-58=36, Resulting Numbers: [11, 36] Generated Node #3: [11, 36] from Operation: 94-58=36 Current State: 47:[11, 36], Operations: ['24-13=11', '94-58=36'] Exploring Operation: 11+36=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 33, 1, 56, 40 ]
49
[ "33*1=33", "56-40=16", "33+16=49" ]
Current State: 49:[33, 1, 56, 40], Operations: [] Exploring Operation: 33*1=33, Resulting Numbers: [56, 40, 33] Generated Node #2: [56, 40, 33] from Operation: 33*1=33 Current State: 49:[56, 40, 33], Operations: ['33*1=33'] Exploring Operation: 56-40=16, Resulting Numbers: [33, 16] Generated Node #3: [33, 16] from Operation: 56-40=16 Current State: 49:[33, 16], Operations: ['33*1=33', '56-40=16'] Exploring Operation: 33+16=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 71, 19, 83, 16 ]
47
[ "71-19=52", "83+16=99", "99-52=47" ]
Current State: 47:[71, 19, 83, 16], Operations: [] Exploring Operation: 71-19=52, Resulting Numbers: [83, 16, 52] Generated Node #2: [83, 16, 52] from Operation: 71-19=52 Current State: 47:[83, 16, 52], Operations: ['71-19=52'] Exploring Operation: 83+16=99, Resulting Numbers: [52, 99] Generated Node #3: [52, 99] from Operation: 83+16=99 Current State: 47:[52, 99], Operations: ['71-19=52', '83+16=99'] Exploring Operation: 99-52=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 47, 44, 27, 63 ]
18
[ "47-44=3", "27*3=81", "81-63=18" ]
Current State: 18:[47, 44, 27, 63], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [27, 63, 3] Generated Node #2: [27, 63, 3] from Operation: 47-44=3 Current State: 18:[27, 63, 3], Operations: ['47-44=3'] Exploring Operation: 27*3=81, Resulting Numbers: [63, 81] Generated Node #3: [63, 81] from Operation: 27*3=81 Current State: 18:[63, 81], Operations: ['47-44=3', '27*3=81'] Exploring Operation: 81-63=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 50, 60, 32, 44 ]
22
[ "60-50=10", "44-32=12", "10+12=22" ]
Current State: 22:[50, 60, 32, 44], Operations: [] Exploring Operation: 60-50=10, Resulting Numbers: [32, 44, 10] Generated Node #2: [32, 44, 10] from Operation: 60-50=10 Current State: 22:[32, 44, 10], Operations: ['60-50=10'] Exploring Operation: 44-32=12, Resulting Numbers: [10, 12] Generated Node #3: [10, 12] from Operation: 44-32=12 Current State: 22:[10, 12], Operations: ['60-50=10', '44-32=12'] Exploring Operation: 10+12=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 29, 8, 19, 21 ]
77
[ "29+8=37", "19+21=40", "37+40=77" ]
Current State: 77:[29, 8, 19, 21], Operations: [] Exploring Operation: 29+8=37, Resulting Numbers: [19, 21, 37] Generated Node #2: [19, 21, 37] from Operation: 29+8=37 Current State: 77:[19, 21, 37], Operations: ['29+8=37'] Exploring Operation: 19+21=40, Resulting Numbers: [37, 40] Generated Node #3: [37, 40] from Operation: 19+21=40 Current State: 77:[37, 40], Operations: ['29+8=37', '19+21=40'] Exploring Operation: 37+40=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 87, 33, 70, 27 ]
77
[ "87+33=120", "70-27=43", "120-43=77" ]
Current State: 77:[87, 33, 70, 27], Operations: [] Exploring Operation: 87+33=120, Resulting Numbers: [70, 27, 120] Generated Node #2: [70, 27, 120] from Operation: 87+33=120 Current State: 77:[70, 27, 120], Operations: ['87+33=120'] Exploring Operation: 70-27=43, Resulting Numbers: [120, 43] Generated Node #3: [120, 43] from Operation: 70-27=43 Current State: 77:[120, 43], Operations: ['87+33=120', '70-27=43'] Exploring Operation: 120-43=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 44, 33, 41, 54 ]
43
[ "44-41=3", "33/3=11", "54-11=43" ]
Current State: 43:[44, 33, 41, 54], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [33, 54, 3] Generated Node #2: [33, 54, 3] from Operation: 44-41=3 Current State: 43:[33, 54, 3], Operations: ['44-41=3'] Exploring Operation: 33/3=11, Resulting Numbers: [54, 11] Generated Node #3: [54, 11] from Operation: 33/3=11 Current State: 43:[54, 11], Operations: ['44-41=3', '33/3=11'] Exploring Operation: 54-11=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 46, 45, 30, 71 ]
54
[ "71-46=25", "45*30=1350", "1350/25=54" ]
Current State: 54:[46, 45, 30, 71], Operations: [] Exploring Operation: 71-46=25, Resulting Numbers: [45, 30, 25] Generated Node #2: [45, 30, 25] from Operation: 71-46=25 Current State: 54:[45, 30, 25], Operations: ['71-46=25'] Exploring Operation: 45*30=1350, Resulting Numbers: [25, 1350] Generated Node #3: [25, 1350] from Operation: 45*30=1350 Current State: 54:[25, 1350], Operations: ['71-46=25', '45*30=1350'] Exploring Operation: 1350/25=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 21, 32, 88, 30 ]
47
[ "32-21=11", "88-30=58", "58-11=47" ]
Current State: 47:[21, 32, 88, 30], Operations: [] Exploring Operation: 32-21=11, Resulting Numbers: [88, 30, 11] Generated Node #2: [88, 30, 11] from Operation: 32-21=11 Current State: 47:[88, 30, 11], Operations: ['32-21=11'] Exploring Operation: 88-30=58, Resulting Numbers: [11, 58] Generated Node #3: [11, 58] from Operation: 88-30=58 Current State: 47:[11, 58], Operations: ['32-21=11', '88-30=58'] Exploring Operation: 58-11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 91, 94, 30, 44 ]
71
[ "94-91=3", "30+44=74", "74-3=71" ]
Current State: 71:[91, 94, 30, 44], Operations: [] Exploring Operation: 94-91=3, Resulting Numbers: [30, 44, 3] Generated Node #2: [30, 44, 3] from Operation: 94-91=3 Current State: 71:[30, 44, 3], Operations: ['94-91=3'] Exploring Operation: 30+44=74, Resulting Numbers: [3, 74] Generated Node #3: [3, 74] from Operation: 30+44=74 Current State: 71:[3, 74], Operations: ['94-91=3', '30+44=74'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 65, 90, 63, 55 ]
10
[ "65-63=2", "90/2=45", "55-45=10" ]
Current State: 10:[65, 90, 63, 55], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [90, 55, 2] Generated Node #2: [90, 55, 2] from Operation: 65-63=2 Current State: 10:[90, 55, 2], Operations: ['65-63=2'] Exploring Operation: 90/2=45, Resulting Numbers: [55, 45] Generated Node #3: [55, 45] from Operation: 90/2=45 Current State: 10:[55, 45], Operations: ['65-63=2', '90/2=45'] Exploring Operation: 55-45=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 92, 71, 10, 37 ]
26
[ "92-71=21", "10+37=47", "47-21=26" ]
Current State: 26:[92, 71, 10, 37], Operations: [] Exploring Operation: 92-71=21, Resulting Numbers: [10, 37, 21] Generated Node #2: [10, 37, 21] from Operation: 92-71=21 Current State: 26:[10, 37, 21], Operations: ['92-71=21'] Exploring Operation: 10+37=47, Resulting Numbers: [21, 47] Generated Node #3: [21, 47] from Operation: 10+37=47 Current State: 26:[21, 47], Operations: ['92-71=21', '10+37=47'] Exploring Operation: 47-21=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 59, 65, 69, 16 ]
39
[ "59+65=124", "69+16=85", "124-85=39" ]
Current State: 39:[59, 65, 69, 16], Operations: [] Exploring Operation: 59+65=124, Resulting Numbers: [69, 16, 124] Generated Node #2: [69, 16, 124] from Operation: 59+65=124 Current State: 39:[69, 16, 124], Operations: ['59+65=124'] Exploring Operation: 69+16=85, Resulting Numbers: [124, 85] Generated Node #3: [124, 85] from Operation: 69+16=85 Current State: 39:[124, 85], Operations: ['59+65=124', '69+16=85'] Exploring Operation: 124-85=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 51, 6, 75, 21 ]
99
[ "51-6=45", "75-21=54", "45+54=99" ]
Current State: 99:[51, 6, 75, 21], Operations: [] Exploring Operation: 51-6=45, Resulting Numbers: [75, 21, 45] Generated Node #2: [75, 21, 45] from Operation: 51-6=45 Current State: 99:[75, 21, 45], Operations: ['51-6=45'] Exploring Operation: 75-21=54, Resulting Numbers: [45, 54] Generated Node #3: [45, 54] from Operation: 75-21=54 Current State: 99:[45, 54], Operations: ['51-6=45', '75-21=54'] Exploring Operation: 45+54=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 75, 63, 26, 78 ]
36
[ "75-63=12", "78/26=3", "12*3=36" ]
Current State: 36:[75, 63, 26, 78], Operations: [] Exploring Operation: 75-63=12, Resulting Numbers: [26, 78, 12] Generated Node #2: [26, 78, 12] from Operation: 75-63=12 Current State: 36:[26, 78, 12], Operations: ['75-63=12'] Exploring Operation: 78/26=3, Resulting Numbers: [12, 3] Generated Node #3: [12, 3] from Operation: 78/26=3 Current State: 36:[12, 3], Operations: ['75-63=12', '78/26=3'] Exploring Operation: 12*3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 48, 48, 60, 56 ]
69
[ "60*56=3360", "3360-48=3312", "3312/48=69" ]
Current State: 69:[48, 48, 60, 56], Operations: [] Exploring Operation: 60*56=3360, Resulting Numbers: [48, 48, 3360] Generated Node #2: [48, 48, 3360] from Operation: 60*56=3360 Current State: 69:[48, 48, 3360], Operations: ['60*56=3360'] Exploring Operation: 3360-48=3312, Resulting Numbers: [3312] 3312,69 equal: Goal Reached Exploring Operation: 3312/48=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 3, 94, 97, 43 ]
80
[ "94-43=51", "51/3=17", "97-17=80" ]
Current State: 80:[3, 94, 97, 43], Operations: [] Exploring Operation: 94-43=51, Resulting Numbers: [3, 97, 51] Generated Node #2: [3, 97, 51] from Operation: 94-43=51 Current State: 80:[3, 97, 51], Operations: ['94-43=51'] Exploring Operation: 51/3=17, Resulting Numbers: [97, 17] Generated Node #3: [97, 17] from Operation: 51/3=17 Current State: 80:[97, 17], Operations: ['94-43=51', '51/3=17'] Exploring Operation: 97-17=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 76, 17, 52, 58 ]
87
[ "76+17=93", "58-52=6", "93-6=87" ]
Current State: 87:[76, 17, 52, 58], Operations: [] Exploring Operation: 76+17=93, Resulting Numbers: [52, 58, 93] Generated Node #2: [52, 58, 93] from Operation: 76+17=93 Current State: 87:[52, 58, 93], Operations: ['76+17=93'] Exploring Operation: 58-52=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 58-52=6 Current State: 87:[93, 6], Operations: ['76+17=93', '58-52=6'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 4, 5, 91, 3 ]
83
[ "5-3=2", "4*2=8", "91-8=83" ]
Current State: 83:[4, 5, 91, 3], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [4, 91, 2] Generated Node #2: [4, 91, 2] from Operation: 5-3=2 Current State: 83:[4, 91, 2], Operations: ['5-3=2'] Exploring Operation: 4*2=8, Resulting Numbers: [91, 8] Generated Node #3: [91, 8] from Operation: 4*2=8 Current State: 83:[91, 8], Operations: ['5-3=2', '4*2=8'] Exploring Operation: 91-8=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 35, 36, 53, 8 ]
46
[ "36-35=1", "53-8=45", "1+45=46" ]
Current State: 46:[35, 36, 53, 8], Operations: [] Exploring Operation: 36-35=1, Resulting Numbers: [53, 8, 1] Generated Node #2: [53, 8, 1] from Operation: 36-35=1 Current State: 46:[53, 8, 1], Operations: ['36-35=1'] Exploring Operation: 53-8=45, Resulting Numbers: [1, 45] Generated Node #3: [1, 45] from Operation: 53-8=45 Current State: 46:[1, 45], Operations: ['36-35=1', '53-8=45'] Exploring Operation: 1+45=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 32, 3, 54, 51 ]
69
[ "32+54=86", "51/3=17", "86-17=69" ]
Current State: 69:[32, 3, 54, 51], Operations: [] Exploring Operation: 32+54=86, Resulting Numbers: [3, 51, 86] Generated Node #2: [3, 51, 86] from Operation: 32+54=86 Current State: 69:[3, 51, 86], Operations: ['32+54=86'] Exploring Operation: 51/3=17, Resulting Numbers: [86, 17] Generated Node #3: [86, 17] from Operation: 51/3=17 Current State: 69:[86, 17], Operations: ['32+54=86', '51/3=17'] Exploring Operation: 86-17=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 84, 51, 91, 26 ]
84
[ "84-51=33", "91+26=117", "117-33=84" ]
Current State: 84:[84, 51, 91, 26], Operations: [] Exploring Operation: 84-51=33, Resulting Numbers: [91, 26, 33] Generated Node #2: [91, 26, 33] from Operation: 84-51=33 Current State: 84:[91, 26, 33], Operations: ['84-51=33'] Exploring Operation: 91+26=117, Resulting Numbers: [33, 117] Generated Node #3: [33, 117] from Operation: 91+26=117 Current State: 84:[33, 117], Operations: ['84-51=33', '91+26=117'] Exploring Operation: 117-33=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 91, 52, 26, 95 ]
99
[ "52/26=2", "95*2=190", "190-91=99" ]
Current State: 99:[91, 52, 26, 95], Operations: [] Exploring Operation: 52/26=2, Resulting Numbers: [91, 95, 2] Generated Node #2: [91, 95, 2] from Operation: 52/26=2 Current State: 99:[91, 95, 2], Operations: ['52/26=2'] Exploring Operation: 95*2=190, Resulting Numbers: [91, 190] Generated Node #3: [91, 190] from Operation: 95*2=190 Current State: 99:[91, 190], Operations: ['52/26=2', '95*2=190'] Exploring Operation: 190-91=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 1, 82, 7, 30 ]
87
[ "7-1=6", "30/6=5", "82+5=87" ]
Current State: 87:[1, 82, 7, 30], Operations: [] Exploring Operation: 7-1=6, Resulting Numbers: [82, 30, 6] Generated Node #2: [82, 30, 6] from Operation: 7-1=6 Current State: 87:[82, 30, 6], Operations: ['7-1=6'] Exploring Operation: 30/6=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 30/6=5 Current State: 87:[82, 5], Operations: ['7-1=6', '30/6=5'] Exploring Operation: 82+5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 96, 89, 82, 17 ]
34
[ "96+82=178", "178/89=2", "17*2=34" ]
Current State: 34:[96, 89, 82, 17], Operations: [] Exploring Operation: 96+82=178, Resulting Numbers: [89, 17, 178] Generated Node #2: [89, 17, 178] from Operation: 96+82=178 Current State: 34:[89, 17, 178], Operations: ['96+82=178'] Exploring Operation: 178/89=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 178/89=2 Current State: 34:[17, 2], Operations: ['96+82=178', '178/89=2'] Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 73, 49, 64, 24 ]
64
[ "73-49=24", "64+24=88", "88-24=64" ]
Current State: 64:[73, 49, 64, 24], Operations: [] Exploring Operation: 73-49=24, Resulting Numbers: [64, 24, 24] Generated Node #2: [64, 24, 24] from Operation: 73-49=24 Current State: 64:[64, 24, 24], Operations: ['73-49=24'] Exploring Operation: 64+24=88, Resulting Numbers: [88] 88,64 equal: Goal Reached Exploring Operation: 88-24=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 63, 50, 75, 71 ]
78
[ "71-50=21", "63/21=3", "75+3=78" ]
Current State: 78:[63, 50, 75, 71], Operations: [] Exploring Operation: 71-50=21, Resulting Numbers: [63, 75, 21] Generated Node #2: [63, 75, 21] from Operation: 71-50=21 Current State: 78:[63, 75, 21], Operations: ['71-50=21'] Exploring Operation: 63/21=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 63/21=3 Current State: 78:[75, 3], Operations: ['71-50=21', '63/21=3'] Exploring Operation: 75+3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 5, 92, 92, 80 ]
80
[ "92-92=0", "5*0=0", "80+0=80" ]
Current State: 80:[5, 92, 92, 80], Operations: [] Exploring Operation: 92-92=0, Resulting Numbers: [5, 80, 0] Generated Node #2: [5, 80, 0] from Operation: 92-92=0 Current State: 80:[5, 80, 0], Operations: ['92-92=0'] Exploring Operation: 5*0=0, Resulting Numbers: [80, 0] Generated Node #3: [80, 0] from Operation: 5*0=0 Current State: 80:[80, 0], Operations: ['92-92=0', '5*0=0'] Exploring Operation: 80+0=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 9, 19, 2, 44 ]
89
[ "9-2=7", "19*7=133", "133-44=89" ]
Current State: 89:[9, 19, 2, 44], Operations: [] Exploring Operation: 9-2=7, Resulting Numbers: [19, 44, 7] Generated Node #2: [19, 44, 7] from Operation: 9-2=7 Current State: 89:[19, 44, 7], Operations: ['9-2=7'] Exploring Operation: 19*7=133, Resulting Numbers: [44, 133] Generated Node #3: [44, 133] from Operation: 19*7=133 Current State: 89:[44, 133], Operations: ['9-2=7', '19*7=133'] Exploring Operation: 133-44=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 89, 20, 15, 19 ]
75
[ "89+20=109", "15+19=34", "109-34=75" ]
Current State: 75:[89, 20, 15, 19], Operations: [] Exploring Operation: 89+20=109, Resulting Numbers: [15, 19, 109] Generated Node #2: [15, 19, 109] from Operation: 89+20=109 Current State: 75:[15, 19, 109], Operations: ['89+20=109'] Exploring Operation: 15+19=34, Resulting Numbers: [109, 34] Generated Node #3: [109, 34] from Operation: 15+19=34 Current State: 75:[109, 34], Operations: ['89+20=109', '15+19=34'] Exploring Operation: 109-34=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 41, 13, 15, 47 ]
38
[ "13*47=611", "611-41=570", "570/15=38" ]
Current State: 38:[41, 13, 15, 47], Operations: [] Exploring Operation: 13*47=611, Resulting Numbers: [41, 15, 611] Generated Node #2: [41, 15, 611] from Operation: 13*47=611 Current State: 38:[41, 15, 611], Operations: ['13*47=611'] Exploring Operation: 611-41=570, Resulting Numbers: [15, 570] Generated Node #3: [15, 570] from Operation: 611-41=570 Current State: 38:[15, 570], Operations: ['13*47=611', '611-41=570'] Exploring Operation: 570/15=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 2, 19, 33, 57 ]
83
[ "19+33=52", "52/2=26", "57+26=83" ]
Current State: 83:[2, 19, 33, 57], Operations: [] Exploring Operation: 19+33=52, Resulting Numbers: [2, 57, 52] Generated Node #2: [2, 57, 52] from Operation: 19+33=52 Current State: 83:[2, 57, 52], Operations: ['19+33=52'] Exploring Operation: 52/2=26, Resulting Numbers: [57, 26] Generated Node #3: [57, 26] from Operation: 52/2=26 Current State: 83:[57, 26], Operations: ['19+33=52', '52/2=26'] Exploring Operation: 57+26=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 14, 17, 12, 46 ]
12
[ "14-12=2", "17*2=34", "46-34=12" ]
Current State: 12:[14, 17, 12, 46], Operations: [] Exploring Operation: 14-12=2, Resulting Numbers: [17, 46, 2] Generated Node #2: [17, 46, 2] from Operation: 14-12=2 Current State: 12:[17, 46, 2], Operations: ['14-12=2'] Exploring Operation: 17*2=34, Resulting Numbers: [46, 34] Generated Node #3: [46, 34] from Operation: 17*2=34 Current State: 12:[46, 34], Operations: ['14-12=2', '17*2=34'] Exploring Operation: 46-34=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 10, 25, 37 ]
100
[ "3+37=40", "40/10=4", "25*4=100" ]
Current State: 100:[3, 10, 25, 37], Operations: [] Exploring Operation: 3+37=40, Resulting Numbers: [10, 25, 40] Generated Node #2: [10, 25, 40] from Operation: 3+37=40 Current State: 100:[10, 25, 40], Operations: ['3+37=40'] Exploring Operation: 40/10=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 40/10=4 Current State: 100:[25, 4], Operations: ['3+37=40', '40/10=4'] Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 73, 56, 19 ]
77
[ "56+19=75", "2*75=150", "150-73=77" ]
Current State: 77:[2, 73, 56, 19], Operations: [] Exploring Operation: 56+19=75, Resulting Numbers: [2, 73, 75] Generated Node #2: [2, 73, 75] from Operation: 56+19=75 Current State: 77:[2, 73, 75], Operations: ['56+19=75'] Exploring Operation: 2*75=150, Resulting Numbers: [73, 150] Generated Node #3: [73, 150] from Operation: 2*75=150 Current State: 77:[73, 150], Operations: ['56+19=75', '2*75=150'] Exploring Operation: 150-73=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 48, 91, 86, 35 ]
88
[ "48+91=139", "86-35=51", "139-51=88" ]
Current State: 88:[48, 91, 86, 35], Operations: [] Exploring Operation: 48+91=139, Resulting Numbers: [86, 35, 139] Generated Node #2: [86, 35, 139] from Operation: 48+91=139 Current State: 88:[86, 35, 139], Operations: ['48+91=139'] Exploring Operation: 86-35=51, Resulting Numbers: [139, 51] Generated Node #3: [139, 51] from Operation: 86-35=51 Current State: 88:[139, 51], Operations: ['48+91=139', '86-35=51'] Exploring Operation: 139-51=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 78, 6, 23, 1 ]
61
[ "78+6=84", "23*1=23", "84-23=61" ]
Current State: 61:[78, 6, 23, 1], Operations: [] Exploring Operation: 78+6=84, Resulting Numbers: [23, 1, 84] Generated Node #2: [23, 1, 84] from Operation: 78+6=84 Current State: 61:[23, 1, 84], Operations: ['78+6=84'] Exploring Operation: 23*1=23, Resulting Numbers: [84, 23] Generated Node #3: [84, 23] from Operation: 23*1=23 Current State: 61:[84, 23], Operations: ['78+6=84', '23*1=23'] Exploring Operation: 84-23=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 50, 44, 5, 16 ]
14
[ "50+44=94", "5*16=80", "94-80=14" ]
Current State: 14:[50, 44, 5, 16], Operations: [] Exploring Operation: 50+44=94, Resulting Numbers: [5, 16, 94] Generated Node #2: [5, 16, 94] from Operation: 50+44=94 Current State: 14:[5, 16, 94], Operations: ['50+44=94'] Exploring Operation: 5*16=80, Resulting Numbers: [94, 80] Generated Node #3: [94, 80] from Operation: 5*16=80 Current State: 14:[94, 80], Operations: ['50+44=94', '5*16=80'] Exploring Operation: 94-80=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 7, 5, 38, 19 ]
88
[ "38-19=19", "5*19=95", "95-7=88" ]
Current State: 88:[7, 5, 38, 19], Operations: [] Exploring Operation: 38-19=19, Resulting Numbers: [7, 5, 19] Generated Node #2: [7, 5, 19] from Operation: 38-19=19 Current State: 88:[7, 5, 19], Operations: ['38-19=19'] Exploring Operation: 5*19=95, Resulting Numbers: [7, 95] Generated Node #3: [7, 95] from Operation: 5*19=95 Current State: 88:[7, 95], Operations: ['38-19=19', '5*19=95'] Exploring Operation: 95-7=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 28, 51, 51, 78 ]
78
[ "51-51=0", "28*0=0", "78+0=78" ]
Current State: 78:[28, 51, 51, 78], Operations: [] Exploring Operation: 51-51=0, Resulting Numbers: [28, 78, 0] Generated Node #2: [28, 78, 0] from Operation: 51-51=0 Current State: 78:[28, 78, 0], Operations: ['51-51=0'] Exploring Operation: 28*0=0, Resulting Numbers: [78, 0] Generated Node #3: [78, 0] from Operation: 28*0=0 Current State: 78:[78, 0], Operations: ['51-51=0', '28*0=0'] Exploring Operation: 78+0=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 81, 59, 21 ]
100
[ "59-21=38", "38/2=19", "81+19=100" ]
Current State: 100:[2, 81, 59, 21], Operations: [] Exploring Operation: 59-21=38, Resulting Numbers: [2, 81, 38] Generated Node #2: [2, 81, 38] from Operation: 59-21=38 Current State: 100:[2, 81, 38], Operations: ['59-21=38'] Exploring Operation: 38/2=19, Resulting Numbers: [81, 19] Generated Node #3: [81, 19] from Operation: 38/2=19 Current State: 100:[81, 19], Operations: ['59-21=38', '38/2=19'] Exploring Operation: 81+19=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 55, 36, 15, 66 ]
10
[ "55+36=91", "15+66=81", "91-81=10" ]
Current State: 10:[55, 36, 15, 66], Operations: [] Exploring Operation: 55+36=91, Resulting Numbers: [15, 66, 91] Generated Node #2: [15, 66, 91] from Operation: 55+36=91 Current State: 10:[15, 66, 91], Operations: ['55+36=91'] Exploring Operation: 15+66=81, Resulting Numbers: [91, 81] Generated Node #3: [91, 81] from Operation: 15+66=81 Current State: 10:[91, 81], Operations: ['55+36=91', '15+66=81'] Exploring Operation: 91-81=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 4, 20, 15, 78 ]
12
[ "4*78=312", "20*15=300", "312-300=12" ]
Current State: 12:[4, 20, 15, 78], Operations: [] Exploring Operation: 4*78=312, Resulting Numbers: [20, 15, 312] Generated Node #2: [20, 15, 312] from Operation: 4*78=312 Current State: 12:[20, 15, 312], Operations: ['4*78=312'] Exploring Operation: 20*15=300, Resulting Numbers: [312, 300] Generated Node #3: [312, 300] from Operation: 20*15=300 Current State: 12:[312, 300], Operations: ['4*78=312', '20*15=300'] Exploring Operation: 312-300=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 97, 53, 85, 17 ]
49
[ "97-53=44", "85/17=5", "44+5=49" ]
Current State: 49:[97, 53, 85, 17], Operations: [] Exploring Operation: 97-53=44, Resulting Numbers: [85, 17, 44] Generated Node #2: [85, 17, 44] from Operation: 97-53=44 Current State: 49:[85, 17, 44], Operations: ['97-53=44'] Exploring Operation: 85/17=5, Resulting Numbers: [44, 5] Generated Node #3: [44, 5] from Operation: 85/17=5 Current State: 49:[44, 5], Operations: ['97-53=44', '85/17=5'] Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 20, 19, 97, 12 ]
11
[ "97-20=77", "19-12=7", "77/7=11" ]
Current State: 11:[20, 19, 97, 12], Operations: [] Exploring Operation: 97-20=77, Resulting Numbers: [19, 12, 77] Generated Node #2: [19, 12, 77] from Operation: 97-20=77 Current State: 11:[19, 12, 77], Operations: ['97-20=77'] Exploring Operation: 19-12=7, Resulting Numbers: [77, 7] Generated Node #3: [77, 7] from Operation: 19-12=7 Current State: 11:[77, 7], Operations: ['97-20=77', '19-12=7'] Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 82, 98, 58, 29 ]
13
[ "98-82=16", "58-29=29", "29-16=13" ]
Current State: 13:[82, 98, 58, 29], Operations: [] Exploring Operation: 98-82=16, Resulting Numbers: [58, 29, 16] Generated Node #2: [58, 29, 16] from Operation: 98-82=16 Current State: 13:[58, 29, 16], Operations: ['98-82=16'] Exploring Operation: 58-29=29, Resulting Numbers: [16, 29] Generated Node #3: [16, 29] from Operation: 58-29=29 Current State: 13:[16, 29], Operations: ['98-82=16', '58-29=29'] Exploring Operation: 29-16=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 22, 44, 74, 76 ]
22
[ "22*74=1628", "44+1628=1672", "1672/76=22" ]
Current State: 22:[22, 44, 74, 76], Operations: [] Exploring Operation: 22*74=1628, Resulting Numbers: [44, 76, 1628] Generated Node #2: [44, 76, 1628] from Operation: 22*74=1628 Current State: 22:[44, 76, 1628], Operations: ['22*74=1628'] Exploring Operation: 44+1628=1672, Resulting Numbers: [76, 1672] Generated Node #3: [76, 1672] from Operation: 44+1628=1672 Current State: 22:[76, 1672], Operations: ['22*74=1628', '44+1628=1672'] Exploring Operation: 1672/76=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 55, 63, 34, 3 ]
16
[ "55+63=118", "34*3=102", "118-102=16" ]
Current State: 16:[55, 63, 34, 3], Operations: [] Exploring Operation: 55+63=118, Resulting Numbers: [34, 3, 118] Generated Node #2: [34, 3, 118] from Operation: 55+63=118 Current State: 16:[34, 3, 118], Operations: ['55+63=118'] Exploring Operation: 34*3=102, Resulting Numbers: [118, 102] Generated Node #3: [118, 102] from Operation: 34*3=102 Current State: 16:[118, 102], Operations: ['55+63=118', '34*3=102'] Exploring Operation: 118-102=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 2, 85, 77, 90 ]
37
[ "90/2=45", "85-77=8", "45-8=37" ]
Current State: 37:[2, 85, 77, 90], Operations: [] Exploring Operation: 90/2=45, Resulting Numbers: [85, 77, 45] Generated Node #2: [85, 77, 45] from Operation: 90/2=45 Current State: 37:[85, 77, 45], Operations: ['90/2=45'] Exploring Operation: 85-77=8, Resulting Numbers: [45, 8] Generated Node #3: [45, 8] from Operation: 85-77=8 Current State: 37:[45, 8], Operations: ['90/2=45', '85-77=8'] Exploring Operation: 45-8=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 4, 95, 24, 35 ]
39
[ "95-35=60", "60/4=15", "24+15=39" ]
Current State: 39:[4, 95, 24, 35], Operations: [] Exploring Operation: 95-35=60, Resulting Numbers: [4, 24, 60] Generated Node #2: [4, 24, 60] from Operation: 95-35=60 Current State: 39:[4, 24, 60], Operations: ['95-35=60'] Exploring Operation: 60/4=15, Resulting Numbers: [24, 15] Generated Node #3: [24, 15] from Operation: 60/4=15 Current State: 39:[24, 15], Operations: ['95-35=60', '60/4=15'] Exploring Operation: 24+15=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 2, 4, 44, 36 ]
60
[ "4+44=48", "2*48=96", "96-36=60" ]
Current State: 60:[2, 4, 44, 36], Operations: [] Exploring Operation: 4+44=48, Resulting Numbers: [2, 36, 48] Generated Node #2: [2, 36, 48] from Operation: 4+44=48 Current State: 60:[2, 36, 48], Operations: ['4+44=48'] Exploring Operation: 2*48=96, Resulting Numbers: [36, 96] Generated Node #3: [36, 96] from Operation: 2*48=96 Current State: 60:[36, 96], Operations: ['4+44=48', '2*48=96'] Exploring Operation: 96-36=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 85, 2, 3, 36 ]
55
[ "85-36=49", "2*3=6", "49+6=55" ]
Current State: 55:[85, 2, 3, 36], Operations: [] Exploring Operation: 85-36=49, Resulting Numbers: [2, 3, 49] Generated Node #2: [2, 3, 49] from Operation: 85-36=49 Current State: 55:[2, 3, 49], Operations: ['85-36=49'] Exploring Operation: 2*3=6, Resulting Numbers: [49, 6] Generated Node #3: [49, 6] from Operation: 2*3=6 Current State: 55:[49, 6], Operations: ['85-36=49', '2*3=6'] Exploring Operation: 49+6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4