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
[ 14, 27, 51, 79 ]
89
[ "14+27=41", "51+79=130", "130-41=89" ]
Current State: 89:[14, 27, 51, 79], Operations: [] Exploring Operation: 14+27=41, Resulting Numbers: [51, 79, 41] Generated Node #2: [51, 79, 41] from Operation: 14+27=41 Current State: 89:[51, 79, 41], Operations: ['14+27=41'] Exploring Operation: 51+79=130, Resulting Numbers: [41, 130] Generated Node #3: [41, 130] from Operation: 51+79=130 Current State: 89:[41, 130], Operations: ['14+27=41', '51+79=130'] Exploring Operation: 130-41=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 80, 41, 16, 43 ]
66
[ "80-41=39", "43-16=27", "39+27=66" ]
Current State: 66:[80, 41, 16, 43], Operations: [] Exploring Operation: 80-41=39, Resulting Numbers: [16, 43, 39] Generated Node #2: [16, 43, 39] from Operation: 80-41=39 Current State: 66:[16, 43, 39], Operations: ['80-41=39'] Exploring Operation: 43-16=27, Resulting Numbers: [39, 27] Generated Node #3: [39, 27] from Operation: 43-16=27 Current State: 66:[39, 27], Operations: ['80-41=39', '43-16=27'] Exploring Operation: 39+27=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 6, 64, 54, 60 ]
71
[ "64*60=3840", "3840-6=3834", "3834/54=71" ]
Current State: 71:[6, 64, 54, 60], Operations: [] Exploring Operation: 64*60=3840, Resulting Numbers: [6, 54, 3840] Generated Node #2: [6, 54, 3840] from Operation: 64*60=3840 Current State: 71:[6, 54, 3840], Operations: ['64*60=3840'] Exploring Operation: 3840-6=3834, Resulting Numbers: [54, 3834] Generated Node #3: [54, 3834] from Operation: 3840-6=3834 Current State: 71:[54, 3834], Operations: ['64*60=3840', '3840-6=3834'] Exploring Operation: 3834/54=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 43, 54, 42, 47 ]
70
[ "43+47=90", "42*90=3780", "3780/54=70" ]
Current State: 70:[43, 54, 42, 47], Operations: [] Exploring Operation: 43+47=90, Resulting Numbers: [54, 42, 90] Generated Node #2: [54, 42, 90] from Operation: 43+47=90 Current State: 70:[54, 42, 90], Operations: ['43+47=90'] Exploring Operation: 42*90=3780, Resulting Numbers: [54, 3780] Generated Node #3: [54, 3780] from Operation: 42*90=3780 Current State: 70:[54, 3780], Operations: ['43+47=90', '42*90=3780'] Exploring Operation: 3780/54=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 17, 12, 89, 19 ]
13
[ "89-17=72", "72/12=6", "19-6=13" ]
Current State: 13:[17, 12, 89, 19], Operations: [] Exploring Operation: 89-17=72, Resulting Numbers: [12, 19, 72] Generated Node #2: [12, 19, 72] from Operation: 89-17=72 Current State: 13:[12, 19, 72], Operations: ['89-17=72'] Exploring Operation: 72/12=6, Resulting Numbers: [19, 6] Generated Node #3: [19, 6] from Operation: 72/12=6 Current State: 13:[19, 6], Operations: ['89-17=72', '72/12=6'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 24, 3, 4, 69 ]
52
[ "24-3=21", "4+69=73", "73-21=52" ]
Current State: 52:[24, 3, 4, 69], Operations: [] Exploring Operation: 24-3=21, Resulting Numbers: [4, 69, 21] Generated Node #2: [4, 69, 21] from Operation: 24-3=21 Current State: 52:[4, 69, 21], Operations: ['24-3=21'] Exploring Operation: 4+69=73, Resulting Numbers: [21, 73] Generated Node #3: [21, 73] from Operation: 4+69=73 Current State: 52:[21, 73], Operations: ['24-3=21', '4+69=73'] Exploring Operation: 73-21=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 96, 44, 41, 43 ]
32
[ "96-44=52", "41+43=84", "84-52=32" ]
Current State: 32:[96, 44, 41, 43], Operations: [] Exploring Operation: 96-44=52, Resulting Numbers: [41, 43, 52] Generated Node #2: [41, 43, 52] from Operation: 96-44=52 Current State: 32:[41, 43, 52], Operations: ['96-44=52'] Exploring Operation: 41+43=84, Resulting Numbers: [52, 84] Generated Node #3: [52, 84] from Operation: 41+43=84 Current State: 32:[52, 84], Operations: ['96-44=52', '41+43=84'] Exploring Operation: 84-52=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 14, 17, 39, 37 ]
79
[ "17-14=3", "39+37=76", "3+76=79" ]
Current State: 79:[14, 17, 39, 37], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [39, 37, 3] Generated Node #2: [39, 37, 3] from Operation: 17-14=3 Current State: 79:[39, 37, 3], Operations: ['17-14=3'] Exploring Operation: 39+37=76, Resulting Numbers: [3, 76] Generated Node #3: [3, 76] from Operation: 39+37=76 Current State: 79:[3, 76], Operations: ['17-14=3', '39+37=76'] Exploring Operation: 3+76=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 23, 93, 17, 33 ]
54
[ "93-23=70", "33-17=16", "70-16=54" ]
Current State: 54:[23, 93, 17, 33], Operations: [] Exploring Operation: 93-23=70, Resulting Numbers: [17, 33, 70] Generated Node #2: [17, 33, 70] from Operation: 93-23=70 Current State: 54:[17, 33, 70], Operations: ['93-23=70'] Exploring Operation: 33-17=16, Resulting Numbers: [70, 16] Generated Node #3: [70, 16] from Operation: 33-17=16 Current State: 54:[70, 16], Operations: ['93-23=70', '33-17=16'] Exploring Operation: 70-16=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 72, 14, 87, 23 ]
23
[ "72+14=86", "87-86=1", "23*1=23" ]
Current State: 23:[72, 14, 87, 23], Operations: [] Exploring Operation: 72+14=86, Resulting Numbers: [87, 23, 86] Generated Node #2: [87, 23, 86] from Operation: 72+14=86 Current State: 23:[87, 23, 86], Operations: ['72+14=86'] Exploring Operation: 87-86=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 87-86=1 Current State: 23:[23, 1], Operations: ['72+14=86', '87-86=1'] Exploring Operation: 23*1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 20, 31, 48, 37 ]
28
[ "37-31=6", "48/6=8", "20+8=28" ]
Current State: 28:[20, 31, 48, 37], Operations: [] Exploring Operation: 37-31=6, Resulting Numbers: [20, 48, 6] Generated Node #2: [20, 48, 6] from Operation: 37-31=6 Current State: 28:[20, 48, 6], Operations: ['37-31=6'] Exploring Operation: 48/6=8, Resulting Numbers: [20, 8] Generated Node #3: [20, 8] from Operation: 48/6=8 Current State: 28:[20, 8], Operations: ['37-31=6', '48/6=8'] Exploring Operation: 20+8=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 72, 27, 82, 63 ]
77
[ "72+63=135", "135/27=5", "82-5=77" ]
Current State: 77:[72, 27, 82, 63], Operations: [] Exploring Operation: 72+63=135, Resulting Numbers: [27, 82, 135] Generated Node #2: [27, 82, 135] from Operation: 72+63=135 Current State: 77:[27, 82, 135], Operations: ['72+63=135'] Exploring Operation: 135/27=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 135/27=5 Current State: 77:[82, 5], Operations: ['72+63=135', '135/27=5'] Exploring Operation: 82-5=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 72, 8, 8, 49 ]
59
[ "72+8=80", "80/8=10", "49+10=59" ]
Current State: 59:[72, 8, 8, 49], Operations: [] Exploring Operation: 72+8=80, Resulting Numbers: [49, 80] Generated Node #2: [49, 80] from Operation: 72+8=80 Current State: 59:[49, 80], Operations: ['72+8=80'] Exploring Operation: 80/8=10, Resulting Numbers: [49, 10] Generated Node #3: [49, 10] from Operation: 80/8=10 Current State: 59:[49, 10], Operations: ['72+8=80', '80/8=10'] Exploring Operation: 49+10=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 36, 95, 11, 62 ]
39
[ "95-62=33", "33/11=3", "36+3=39" ]
Current State: 39:[36, 95, 11, 62], Operations: [] Exploring Operation: 95-62=33, Resulting Numbers: [36, 11, 33] Generated Node #2: [36, 11, 33] from Operation: 95-62=33 Current State: 39:[36, 11, 33], Operations: ['95-62=33'] Exploring Operation: 33/11=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 33/11=3 Current State: 39:[36, 3], Operations: ['95-62=33', '33/11=3'] Exploring Operation: 36+3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 43, 2, 97, 98 ]
85
[ "43*2=86", "98-97=1", "86-1=85" ]
Current State: 85:[43, 2, 97, 98], Operations: [] Exploring Operation: 43*2=86, Resulting Numbers: [97, 98, 86] Generated Node #2: [97, 98, 86] from Operation: 43*2=86 Current State: 85:[97, 98, 86], Operations: ['43*2=86'] Exploring Operation: 98-97=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 98-97=1 Current State: 85:[86, 1], Operations: ['43*2=86', '98-97=1'] Exploring Operation: 86-1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 41, 80, 16, 59 ]
95
[ "41+59=100", "80/16=5", "100-5=95" ]
Current State: 95:[41, 80, 16, 59], Operations: [] Exploring Operation: 41+59=100, Resulting Numbers: [80, 16, 100] Generated Node #2: [80, 16, 100] from Operation: 41+59=100 Current State: 95:[80, 16, 100], Operations: ['41+59=100'] Exploring Operation: 80/16=5, Resulting Numbers: [100, 5] Generated Node #3: [100, 5] from Operation: 80/16=5 Current State: 95:[100, 5], Operations: ['41+59=100', '80/16=5'] Exploring Operation: 100-5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 28, 82, 18, 96 ]
36
[ "28*18=504", "96-82=14", "504/14=36" ]
Current State: 36:[28, 82, 18, 96], Operations: [] Exploring Operation: 28*18=504, Resulting Numbers: [82, 96, 504] Generated Node #2: [82, 96, 504] from Operation: 28*18=504 Current State: 36:[82, 96, 504], Operations: ['28*18=504'] Exploring Operation: 96-82=14, Resulting Numbers: [504, 14] Generated Node #3: [504, 14] from Operation: 96-82=14 Current State: 36:[504, 14], Operations: ['28*18=504', '96-82=14'] Exploring Operation: 504/14=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 32, 86, 6 ]
34
[ "2*86=172", "32+172=204", "204/6=34" ]
Current State: 34:[2, 32, 86, 6], Operations: [] Exploring Operation: 2*86=172, Resulting Numbers: [32, 6, 172] Generated Node #2: [32, 6, 172] from Operation: 2*86=172 Current State: 34:[32, 6, 172], Operations: ['2*86=172'] Exploring Operation: 32+172=204, Resulting Numbers: [6, 204] Generated Node #3: [6, 204] from Operation: 32+172=204 Current State: 34:[6, 204], Operations: ['2*86=172', '32+172=204'] Exploring Operation: 204/6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 18, 53, 54, 88 ]
47
[ "54/18=3", "53+88=141", "141/3=47" ]
Current State: 47:[18, 53, 54, 88], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [53, 88, 3] Generated Node #2: [53, 88, 3] from Operation: 54/18=3 Current State: 47:[53, 88, 3], Operations: ['54/18=3'] Exploring Operation: 53+88=141, Resulting Numbers: [3, 141] Generated Node #3: [3, 141] from Operation: 53+88=141 Current State: 47:[3, 141], Operations: ['54/18=3', '53+88=141'] Exploring Operation: 141/3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 82, 49, 20, 14 ]
67
[ "82-49=33", "20+14=34", "33+34=67" ]
Current State: 67:[82, 49, 20, 14], Operations: [] Exploring Operation: 82-49=33, Resulting Numbers: [20, 14, 33] Generated Node #2: [20, 14, 33] from Operation: 82-49=33 Current State: 67:[20, 14, 33], Operations: ['82-49=33'] Exploring Operation: 20+14=34, Resulting Numbers: [33, 34] Generated Node #3: [33, 34] from Operation: 20+14=34 Current State: 67:[33, 34], Operations: ['82-49=33', '20+14=34'] Exploring Operation: 33+34=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 70, 37, 18, 28 ]
97
[ "70+37=107", "28-18=10", "107-10=97" ]
Current State: 97:[70, 37, 18, 28], Operations: [] Exploring Operation: 70+37=107, Resulting Numbers: [18, 28, 107] Generated Node #2: [18, 28, 107] from Operation: 70+37=107 Current State: 97:[18, 28, 107], Operations: ['70+37=107'] Exploring Operation: 28-18=10, Resulting Numbers: [107, 10] Generated Node #3: [107, 10] from Operation: 28-18=10 Current State: 97:[107, 10], Operations: ['70+37=107', '28-18=10'] Exploring Operation: 107-10=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 65, 1, 73, 26 ]
18
[ "65*1=65", "73-26=47", "65-47=18" ]
Current State: 18:[65, 1, 73, 26], Operations: [] Exploring Operation: 65*1=65, Resulting Numbers: [73, 26, 65] Generated Node #2: [73, 26, 65] from Operation: 65*1=65 Current State: 18:[73, 26, 65], Operations: ['65*1=65'] Exploring Operation: 73-26=47, Resulting Numbers: [65, 47] Generated Node #3: [65, 47] from Operation: 73-26=47 Current State: 18:[65, 47], Operations: ['65*1=65', '73-26=47'] Exploring Operation: 65-47=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 79, 3, 81, 72 ]
76
[ "81-72=9", "9/3=3", "79-3=76" ]
Current State: 76:[79, 3, 81, 72], Operations: [] Exploring Operation: 81-72=9, Resulting Numbers: [79, 3, 9] Generated Node #2: [79, 3, 9] from Operation: 81-72=9 Current State: 76:[79, 3, 9], Operations: ['81-72=9'] Exploring Operation: 9/3=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 9/3=3 Current State: 76:[79, 3], Operations: ['81-72=9', '9/3=3'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 3, 97, 64, 32 ]
50
[ "3+97=100", "64/32=2", "100/2=50" ]
Current State: 50:[3, 97, 64, 32], Operations: [] Exploring Operation: 3+97=100, Resulting Numbers: [64, 32, 100] Generated Node #2: [64, 32, 100] from Operation: 3+97=100 Current State: 50:[64, 32, 100], Operations: ['3+97=100'] Exploring Operation: 64/32=2, Resulting Numbers: [100, 2] Generated Node #3: [100, 2] from Operation: 64/32=2 Current State: 50:[100, 2], Operations: ['3+97=100', '64/32=2'] Exploring Operation: 100/2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 5, 96, 87, 29 ]
91
[ "29-5=24", "96/24=4", "87+4=91" ]
Current State: 91:[5, 96, 87, 29], Operations: [] Exploring Operation: 29-5=24, Resulting Numbers: [96, 87, 24] Generated Node #2: [96, 87, 24] from Operation: 29-5=24 Current State: 91:[96, 87, 24], Operations: ['29-5=24'] Exploring Operation: 96/24=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 96/24=4 Current State: 91:[87, 4], Operations: ['29-5=24', '96/24=4'] Exploring Operation: 87+4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 55, 94, 31, 32 ]
40
[ "94-55=39", "32-31=1", "39+1=40" ]
Current State: 40:[55, 94, 31, 32], Operations: [] Exploring Operation: 94-55=39, Resulting Numbers: [31, 32, 39] Generated Node #2: [31, 32, 39] from Operation: 94-55=39 Current State: 40:[31, 32, 39], Operations: ['94-55=39'] Exploring Operation: 32-31=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 32-31=1 Current State: 40:[39, 1], Operations: ['94-55=39', '32-31=1'] Exploring Operation: 39+1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 28, 90, 15, 2 ]
32
[ "90-28=62", "15*2=30", "62-30=32" ]
Current State: 32:[28, 90, 15, 2], Operations: [] Exploring Operation: 90-28=62, Resulting Numbers: [15, 2, 62] Generated Node #2: [15, 2, 62] from Operation: 90-28=62 Current State: 32:[15, 2, 62], Operations: ['90-28=62'] Exploring Operation: 15*2=30, Resulting Numbers: [62, 30] Generated Node #3: [62, 30] from Operation: 15*2=30 Current State: 32:[62, 30], Operations: ['90-28=62', '15*2=30'] Exploring Operation: 62-30=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 11, 33, 86, 52 ]
56
[ "33-11=22", "86-52=34", "22+34=56" ]
Current State: 56:[11, 33, 86, 52], Operations: [] Exploring Operation: 33-11=22, Resulting Numbers: [86, 52, 22] Generated Node #2: [86, 52, 22] from Operation: 33-11=22 Current State: 56:[86, 52, 22], Operations: ['33-11=22'] Exploring Operation: 86-52=34, Resulting Numbers: [22, 34] Generated Node #3: [22, 34] from Operation: 86-52=34 Current State: 56:[22, 34], Operations: ['33-11=22', '86-52=34'] Exploring Operation: 22+34=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 34, 20, 36, 70 ]
83
[ "34*70=2380", "2380/20=119", "119-36=83" ]
Current State: 83:[34, 20, 36, 70], Operations: [] Exploring Operation: 34*70=2380, Resulting Numbers: [20, 36, 2380] Generated Node #2: [20, 36, 2380] from Operation: 34*70=2380 Current State: 83:[20, 36, 2380], Operations: ['34*70=2380'] Exploring Operation: 2380/20=119, Resulting Numbers: [36, 119] Generated Node #3: [36, 119] from Operation: 2380/20=119 Current State: 83:[36, 119], Operations: ['34*70=2380', '2380/20=119'] Exploring Operation: 119-36=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 40, 66, 21, 67 ]
62
[ "66-40=26", "21+67=88", "88-26=62" ]
Current State: 62:[40, 66, 21, 67], Operations: [] Exploring Operation: 66-40=26, Resulting Numbers: [21, 67, 26] Generated Node #2: [21, 67, 26] from Operation: 66-40=26 Current State: 62:[21, 67, 26], Operations: ['66-40=26'] Exploring Operation: 21+67=88, Resulting Numbers: [26, 88] Generated Node #3: [26, 88] from Operation: 21+67=88 Current State: 62:[26, 88], Operations: ['66-40=26', '21+67=88'] Exploring Operation: 88-26=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 80, 84, 27, 12 ]
35
[ "84-80=4", "27+12=39", "39-4=35" ]
Current State: 35:[80, 84, 27, 12], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [27, 12, 4] Generated Node #2: [27, 12, 4] from Operation: 84-80=4 Current State: 35:[27, 12, 4], Operations: ['84-80=4'] Exploring Operation: 27+12=39, Resulting Numbers: [4, 39] Generated Node #3: [4, 39] from Operation: 27+12=39 Current State: 35:[4, 39], Operations: ['84-80=4', '27+12=39'] Exploring Operation: 39-4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 45, 51, 48, 39 ]
30
[ "48-45=3", "51+39=90", "90/3=30" ]
Current State: 30:[45, 51, 48, 39], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [51, 39, 3] Generated Node #2: [51, 39, 3] from Operation: 48-45=3 Current State: 30:[51, 39, 3], Operations: ['48-45=3'] Exploring Operation: 51+39=90, Resulting Numbers: [3, 90] Generated Node #3: [3, 90] from Operation: 51+39=90 Current State: 30:[3, 90], Operations: ['48-45=3', '51+39=90'] Exploring Operation: 90/3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 4, 71, 20, 29 ]
26
[ "4+71=75", "20+29=49", "75-49=26" ]
Current State: 26:[4, 71, 20, 29], Operations: [] Exploring Operation: 4+71=75, Resulting Numbers: [20, 29, 75] Generated Node #2: [20, 29, 75] from Operation: 4+71=75 Current State: 26:[20, 29, 75], Operations: ['4+71=75'] Exploring Operation: 20+29=49, Resulting Numbers: [75, 49] Generated Node #3: [75, 49] from Operation: 20+29=49 Current State: 26:[75, 49], Operations: ['4+71=75', '20+29=49'] Exploring Operation: 75-49=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 70, 69, 23, 17 ]
84
[ "70+17=87", "69/23=3", "87-3=84" ]
Current State: 84:[70, 69, 23, 17], Operations: [] Exploring Operation: 70+17=87, Resulting Numbers: [69, 23, 87] Generated Node #2: [69, 23, 87] from Operation: 70+17=87 Current State: 84:[69, 23, 87], Operations: ['70+17=87'] Exploring Operation: 69/23=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 69/23=3 Current State: 84:[87, 3], Operations: ['70+17=87', '69/23=3'] Exploring Operation: 87-3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 14, 44, 4, 19 ]
31
[ "14*4=56", "44-19=25", "56-25=31" ]
Current State: 31:[14, 44, 4, 19], Operations: [] Exploring Operation: 14*4=56, Resulting Numbers: [44, 19, 56] Generated Node #2: [44, 19, 56] from Operation: 14*4=56 Current State: 31:[44, 19, 56], Operations: ['14*4=56'] Exploring Operation: 44-19=25, Resulting Numbers: [56, 25] Generated Node #3: [56, 25] from Operation: 44-19=25 Current State: 31:[56, 25], Operations: ['14*4=56', '44-19=25'] Exploring Operation: 56-25=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 67, 54, 22, 4 ]
22
[ "67+54=121", "4*121=484", "484/22=22" ]
Current State: 22:[67, 54, 22, 4], Operations: [] Exploring Operation: 67+54=121, Resulting Numbers: [22, 4, 121] Generated Node #2: [22, 4, 121] from Operation: 67+54=121 Current State: 22:[22, 4, 121], Operations: ['67+54=121'] Exploring Operation: 4*121=484, Resulting Numbers: [22, 484] Generated Node #3: [22, 484] from Operation: 4*121=484 Current State: 22:[22, 484], Operations: ['67+54=121', '4*121=484'] Exploring Operation: 484/22=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 87, 92, 2, 72 ]
79
[ "92-87=5", "2+72=74", "5+74=79" ]
Current State: 79:[87, 92, 2, 72], Operations: [] Exploring Operation: 92-87=5, Resulting Numbers: [2, 72, 5] Generated Node #2: [2, 72, 5] from Operation: 92-87=5 Current State: 79:[2, 72, 5], Operations: ['92-87=5'] Exploring Operation: 2+72=74, Resulting Numbers: [5, 74] Generated Node #3: [5, 74] from Operation: 2+72=74 Current State: 79:[5, 74], Operations: ['92-87=5', '2+72=74'] Exploring Operation: 5+74=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 7, 39, 3, 92 ]
98
[ "92-7=85", "39/3=13", "85+13=98" ]
Current State: 98:[7, 39, 3, 92], Operations: [] Exploring Operation: 92-7=85, Resulting Numbers: [39, 3, 85] Generated Node #2: [39, 3, 85] from Operation: 92-7=85 Current State: 98:[39, 3, 85], Operations: ['92-7=85'] Exploring Operation: 39/3=13, Resulting Numbers: [85, 13] Generated Node #3: [85, 13] from Operation: 39/3=13 Current State: 98:[85, 13], Operations: ['92-7=85', '39/3=13'] Exploring Operation: 85+13=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 34, 3, 28, 53 ]
36
[ "3+53=56", "56/28=2", "34+2=36" ]
Current State: 36:[34, 3, 28, 53], Operations: [] Exploring Operation: 3+53=56, Resulting Numbers: [34, 28, 56] Generated Node #2: [34, 28, 56] from Operation: 3+53=56 Current State: 36:[34, 28, 56], Operations: ['3+53=56'] Exploring Operation: 56/28=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 56/28=2 Current State: 36:[34, 2], Operations: ['3+53=56', '56/28=2'] Exploring Operation: 34+2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 5, 38, 81, 21 ]
59
[ "5+38=43", "81+21=102", "102-43=59" ]
Current State: 59:[5, 38, 81, 21], Operations: [] Exploring Operation: 5+38=43, Resulting Numbers: [81, 21, 43] Generated Node #2: [81, 21, 43] from Operation: 5+38=43 Current State: 59:[81, 21, 43], Operations: ['5+38=43'] Exploring Operation: 81+21=102, Resulting Numbers: [43, 102] Generated Node #3: [43, 102] from Operation: 81+21=102 Current State: 59:[43, 102], Operations: ['5+38=43', '81+21=102'] Exploring Operation: 102-43=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 8, 96, 64, 22 ]
54
[ "96/8=12", "64-22=42", "12+42=54" ]
Current State: 54:[8, 96, 64, 22], Operations: [] Exploring Operation: 96/8=12, Resulting Numbers: [64, 22, 12] Generated Node #2: [64, 22, 12] from Operation: 96/8=12 Current State: 54:[64, 22, 12], Operations: ['96/8=12'] Exploring Operation: 64-22=42, Resulting Numbers: [12, 42] Generated Node #3: [12, 42] from Operation: 64-22=42 Current State: 54:[12, 42], Operations: ['96/8=12', '64-22=42'] Exploring Operation: 12+42=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 96, 62, 14, 4 ]
72
[ "96/4=24", "62-14=48", "24+48=72" ]
Current State: 72:[96, 62, 14, 4], Operations: [] Exploring Operation: 96/4=24, Resulting Numbers: [62, 14, 24] Generated Node #2: [62, 14, 24] from Operation: 96/4=24 Current State: 72:[62, 14, 24], Operations: ['96/4=24'] Exploring Operation: 62-14=48, Resulting Numbers: [24, 48] Generated Node #3: [24, 48] from Operation: 62-14=48 Current State: 72:[24, 48], Operations: ['96/4=24', '62-14=48'] Exploring Operation: 24+48=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 59, 27, 89, 52 ]
100
[ "59-52=7", "27*7=189", "189-89=100" ]
Current State: 100:[59, 27, 89, 52], Operations: [] Exploring Operation: 59-52=7, Resulting Numbers: [27, 89, 7] Generated Node #2: [27, 89, 7] from Operation: 59-52=7 Current State: 100:[27, 89, 7], Operations: ['59-52=7'] Exploring Operation: 27*7=189, Resulting Numbers: [89, 189] Generated Node #3: [89, 189] from Operation: 27*7=189 Current State: 100:[89, 189], Operations: ['59-52=7', '27*7=189'] Exploring Operation: 189-89=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 7, 74, 69, 13 ]
82
[ "69-13=56", "56/7=8", "74+8=82" ]
Current State: 82:[7, 74, 69, 13], Operations: [] Exploring Operation: 69-13=56, Resulting Numbers: [7, 74, 56] Generated Node #2: [7, 74, 56] from Operation: 69-13=56 Current State: 82:[7, 74, 56], Operations: ['69-13=56'] Exploring Operation: 56/7=8, Resulting Numbers: [74, 8] Generated Node #3: [74, 8] from Operation: 56/7=8 Current State: 82:[74, 8], Operations: ['69-13=56', '56/7=8'] Exploring Operation: 74+8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 50, 83, 2, 30 ]
73
[ "50+83=133", "2*30=60", "133-60=73" ]
Current State: 73:[50, 83, 2, 30], Operations: [] Exploring Operation: 50+83=133, Resulting Numbers: [2, 30, 133] Generated Node #2: [2, 30, 133] from Operation: 50+83=133 Current State: 73:[2, 30, 133], Operations: ['50+83=133'] Exploring Operation: 2*30=60, Resulting Numbers: [133, 60] Generated Node #3: [133, 60] from Operation: 2*30=60 Current State: 73:[133, 60], Operations: ['50+83=133', '2*30=60'] Exploring Operation: 133-60=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 16, 32, 98, 28 ]
96
[ "32*98=3136", "3136/28=112", "112-16=96" ]
Current State: 96:[16, 32, 98, 28], Operations: [] Exploring Operation: 32*98=3136, Resulting Numbers: [16, 28, 3136] Generated Node #2: [16, 28, 3136] from Operation: 32*98=3136 Current State: 96:[16, 28, 3136], Operations: ['32*98=3136'] Exploring Operation: 3136/28=112, Resulting Numbers: [16, 112] Generated Node #3: [16, 112] from Operation: 3136/28=112 Current State: 96:[16, 112], Operations: ['32*98=3136', '3136/28=112'] Exploring Operation: 112-16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 16, 60, 65, 75 ]
54
[ "60-16=44", "75-65=10", "44+10=54" ]
Current State: 54:[16, 60, 65, 75], Operations: [] Exploring Operation: 60-16=44, Resulting Numbers: [65, 75, 44] Generated Node #2: [65, 75, 44] from Operation: 60-16=44 Current State: 54:[65, 75, 44], Operations: ['60-16=44'] Exploring Operation: 75-65=10, Resulting Numbers: [44, 10] Generated Node #3: [44, 10] from Operation: 75-65=10 Current State: 54:[44, 10], Operations: ['60-16=44', '75-65=10'] Exploring Operation: 44+10=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 49, 36, 91, 7 ]
62
[ "49/7=7", "91-36=55", "7+55=62" ]
Current State: 62:[49, 36, 91, 7], Operations: [] Exploring Operation: 49/7=7, Resulting Numbers: [36, 91, 7] Generated Node #2: [36, 91, 7] from Operation: 49/7=7 Current State: 62:[36, 91, 7], Operations: ['49/7=7'] Exploring Operation: 91-36=55, Resulting Numbers: [7, 55] Generated Node #3: [7, 55] from Operation: 91-36=55 Current State: 62:[7, 55], Operations: ['49/7=7', '91-36=55'] Exploring Operation: 7+55=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 76, 26, 54, 85 ]
45
[ "76+26=102", "54*85=4590", "4590/102=45" ]
Current State: 45:[76, 26, 54, 85], Operations: [] Exploring Operation: 76+26=102, Resulting Numbers: [54, 85, 102] Generated Node #2: [54, 85, 102] from Operation: 76+26=102 Current State: 45:[54, 85, 102], Operations: ['76+26=102'] Exploring Operation: 54*85=4590, Resulting Numbers: [102, 4590] Generated Node #3: [102, 4590] from Operation: 54*85=4590 Current State: 45:[102, 4590], Operations: ['76+26=102', '54*85=4590'] Exploring Operation: 4590/102=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 17, 82, 25, 48 ]
76
[ "17+82=99", "48-25=23", "99-23=76" ]
Current State: 76:[17, 82, 25, 48], Operations: [] Exploring Operation: 17+82=99, Resulting Numbers: [25, 48, 99] Generated Node #2: [25, 48, 99] from Operation: 17+82=99 Current State: 76:[25, 48, 99], Operations: ['17+82=99'] Exploring Operation: 48-25=23, Resulting Numbers: [99, 23] Generated Node #3: [99, 23] from Operation: 48-25=23 Current State: 76:[99, 23], Operations: ['17+82=99', '48-25=23'] Exploring Operation: 99-23=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 92, 46, 56, 21 ]
79
[ "92/46=2", "56+21=77", "2+77=79" ]
Current State: 79:[92, 46, 56, 21], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [56, 21, 2] Generated Node #2: [56, 21, 2] from Operation: 92/46=2 Current State: 79:[56, 21, 2], Operations: ['92/46=2'] Exploring Operation: 56+21=77, Resulting Numbers: [2, 77] Generated Node #3: [2, 77] from Operation: 56+21=77 Current State: 79:[2, 77], Operations: ['92/46=2', '56+21=77'] Exploring Operation: 2+77=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 54, 18, 84, 45 ]
27
[ "84-54=30", "18*45=810", "810/30=27" ]
Current State: 27:[54, 18, 84, 45], Operations: [] Exploring Operation: 84-54=30, Resulting Numbers: [18, 45, 30] Generated Node #2: [18, 45, 30] from Operation: 84-54=30 Current State: 27:[18, 45, 30], Operations: ['84-54=30'] Exploring Operation: 18*45=810, Resulting Numbers: [30, 810] Generated Node #3: [30, 810] from Operation: 18*45=810 Current State: 27:[30, 810], Operations: ['84-54=30', '18*45=810'] Exploring Operation: 810/30=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 37, 55, 51, 68 ]
27
[ "37+55=92", "51+68=119", "119-92=27" ]
Current State: 27:[37, 55, 51, 68], Operations: [] Exploring Operation: 37+55=92, Resulting Numbers: [51, 68, 92] Generated Node #2: [51, 68, 92] from Operation: 37+55=92 Current State: 27:[51, 68, 92], Operations: ['37+55=92'] Exploring Operation: 51+68=119, Resulting Numbers: [92, 119] Generated Node #3: [92, 119] from Operation: 51+68=119 Current State: 27:[92, 119], Operations: ['37+55=92', '51+68=119'] Exploring Operation: 119-92=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 49, 38, 38, 72 ]
72
[ "38-38=0", "49*0=0", "72+0=72" ]
Current State: 72:[49, 38, 38, 72], Operations: [] Exploring Operation: 38-38=0, Resulting Numbers: [49, 72, 0] Generated Node #2: [49, 72, 0] from Operation: 38-38=0 Current State: 72:[49, 72, 0], Operations: ['38-38=0'] Exploring Operation: 49*0=0, Resulting Numbers: [72, 0] Generated Node #3: [72, 0] from Operation: 49*0=0 Current State: 72:[72, 0], Operations: ['38-38=0', '49*0=0'] Exploring Operation: 72+0=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 65, 5, 82, 4 ]
67
[ "65-5=60", "60/4=15", "82-15=67" ]
Current State: 67:[65, 5, 82, 4], Operations: [] Exploring Operation: 65-5=60, Resulting Numbers: [82, 4, 60] Generated Node #2: [82, 4, 60] from Operation: 65-5=60 Current State: 67:[82, 4, 60], Operations: ['65-5=60'] Exploring Operation: 60/4=15, Resulting Numbers: [82, 15] Generated Node #3: [82, 15] from Operation: 60/4=15 Current State: 67:[82, 15], Operations: ['65-5=60', '60/4=15'] Exploring Operation: 82-15=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 19, 54, 17, 40 ]
74
[ "19-17=2", "40/2=20", "54+20=74" ]
Current State: 74:[19, 54, 17, 40], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [54, 40, 2] Generated Node #2: [54, 40, 2] from Operation: 19-17=2 Current State: 74:[54, 40, 2], Operations: ['19-17=2'] Exploring Operation: 40/2=20, Resulting Numbers: [54, 20] Generated Node #3: [54, 20] from Operation: 40/2=20 Current State: 74:[54, 20], Operations: ['19-17=2', '40/2=20'] Exploring Operation: 54+20=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 93, 2, 21, 91 ]
68
[ "93+21=114", "2*91=182", "182-114=68" ]
Current State: 68:[93, 2, 21, 91], Operations: [] Exploring Operation: 93+21=114, Resulting Numbers: [2, 91, 114] Generated Node #2: [2, 91, 114] from Operation: 93+21=114 Current State: 68:[2, 91, 114], Operations: ['93+21=114'] Exploring Operation: 2*91=182, Resulting Numbers: [114, 182] Generated Node #3: [114, 182] from Operation: 2*91=182 Current State: 68:[114, 182], Operations: ['93+21=114', '2*91=182'] Exploring Operation: 182-114=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 85, 29, 81, 42 ]
95
[ "85-29=56", "81-42=39", "56+39=95" ]
Current State: 95:[85, 29, 81, 42], Operations: [] Exploring Operation: 85-29=56, Resulting Numbers: [81, 42, 56] Generated Node #2: [81, 42, 56] from Operation: 85-29=56 Current State: 95:[81, 42, 56], Operations: ['85-29=56'] Exploring Operation: 81-42=39, Resulting Numbers: [56, 39] Generated Node #3: [56, 39] from Operation: 81-42=39 Current State: 95:[56, 39], Operations: ['85-29=56', '81-42=39'] Exploring Operation: 56+39=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 85, 21, 26, 5 ]
86
[ "26-21=5", "5/5=1", "85+1=86" ]
Current State: 86:[85, 21, 26, 5], Operations: [] Exploring Operation: 26-21=5, Resulting Numbers: [85, 5, 5] Generated Node #2: [85, 5, 5] from Operation: 26-21=5 Current State: 86:[85, 5, 5], Operations: ['26-21=5'] Exploring Operation: 5/5=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 5/5=1 Current State: 86:[85, 1], Operations: ['26-21=5', '5/5=1'] Exploring Operation: 85+1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 48, 2, 2, 1 ]
49
[ "48+2=50", "2-1=1", "50-1=49" ]
Current State: 49:[48, 2, 2, 1], Operations: [] Exploring Operation: 48+2=50, Resulting Numbers: [1, 50] Generated Node #2: [1, 50] from Operation: 48+2=50 Current State: 49:[1, 50], Operations: ['48+2=50'] Exploring Operation: 2-1=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 2-1=1 Current State: 49:[50, 1], Operations: ['48+2=50', '2-1=1'] Exploring Operation: 50-1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 19, 70, 98, 5 ]
52
[ "70-19=51", "98+5=103", "103-51=52" ]
Current State: 52:[19, 70, 98, 5], Operations: [] Exploring Operation: 70-19=51, Resulting Numbers: [98, 5, 51] Generated Node #2: [98, 5, 51] from Operation: 70-19=51 Current State: 52:[98, 5, 51], Operations: ['70-19=51'] Exploring Operation: 98+5=103, Resulting Numbers: [51, 103] Generated Node #3: [51, 103] from Operation: 98+5=103 Current State: 52:[51, 103], Operations: ['70-19=51', '98+5=103'] Exploring Operation: 103-51=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 52, 2, 36, 21 ]
89
[ "52*2=104", "36-21=15", "104-15=89" ]
Current State: 89:[52, 2, 36, 21], Operations: [] Exploring Operation: 52*2=104, Resulting Numbers: [36, 21, 104] Generated Node #2: [36, 21, 104] from Operation: 52*2=104 Current State: 89:[36, 21, 104], Operations: ['52*2=104'] Exploring Operation: 36-21=15, Resulting Numbers: [104, 15] Generated Node #3: [104, 15] from Operation: 36-21=15 Current State: 89:[104, 15], Operations: ['52*2=104', '36-21=15'] Exploring Operation: 104-15=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 76, 47, 5, 89 ]
29
[ "76+47=123", "5+89=94", "123-94=29" ]
Current State: 29:[76, 47, 5, 89], Operations: [] Exploring Operation: 76+47=123, Resulting Numbers: [5, 89, 123] Generated Node #2: [5, 89, 123] from Operation: 76+47=123 Current State: 29:[5, 89, 123], Operations: ['76+47=123'] Exploring Operation: 5+89=94, Resulting Numbers: [123, 94] Generated Node #3: [123, 94] from Operation: 5+89=94 Current State: 29:[123, 94], Operations: ['76+47=123', '5+89=94'] Exploring Operation: 123-94=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 93, 62, 62, 99 ]
97
[ "93-62=31", "62/31=2", "99-2=97" ]
Current State: 97:[93, 62, 62, 99], Operations: [] Exploring Operation: 93-62=31, Resulting Numbers: [99, 31] Generated Node #2: [99, 31] from Operation: 93-62=31 Current State: 97:[99, 31], Operations: ['93-62=31'] Exploring Operation: 62/31=2, Resulting Numbers: [99, 2] Generated Node #3: [99, 2] from Operation: 62/31=2 Current State: 97:[99, 2], Operations: ['93-62=31', '62/31=2'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 80, 2, 14, 32 ]
12
[ "14+32=46", "2*46=92", "92-80=12" ]
Current State: 12:[80, 2, 14, 32], Operations: [] Exploring Operation: 14+32=46, Resulting Numbers: [80, 2, 46] Generated Node #2: [80, 2, 46] from Operation: 14+32=46 Current State: 12:[80, 2, 46], Operations: ['14+32=46'] Exploring Operation: 2*46=92, Resulting Numbers: [80, 92] Generated Node #3: [80, 92] from Operation: 2*46=92 Current State: 12:[80, 92], Operations: ['14+32=46', '2*46=92'] Exploring Operation: 92-80=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 18, 84, 6, 13 ]
25
[ "18*13=234", "234-84=150", "150/6=25" ]
Current State: 25:[18, 84, 6, 13], Operations: [] Exploring Operation: 18*13=234, Resulting Numbers: [84, 6, 234] Generated Node #2: [84, 6, 234] from Operation: 18*13=234 Current State: 25:[84, 6, 234], Operations: ['18*13=234'] Exploring Operation: 234-84=150, Resulting Numbers: [6, 150] Generated Node #3: [6, 150] from Operation: 234-84=150 Current State: 25:[6, 150], Operations: ['18*13=234', '234-84=150'] Exploring Operation: 150/6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 73, 83, 88, 55 ]
16
[ "83-73=10", "88*10=880", "880/55=16" ]
Current State: 16:[73, 83, 88, 55], Operations: [] Exploring Operation: 83-73=10, Resulting Numbers: [88, 55, 10] Generated Node #2: [88, 55, 10] from Operation: 83-73=10 Current State: 16:[88, 55, 10], Operations: ['83-73=10'] Exploring Operation: 88*10=880, Resulting Numbers: [55, 880] Generated Node #3: [55, 880] from Operation: 88*10=880 Current State: 16:[55, 880], Operations: ['83-73=10', '88*10=880'] Exploring Operation: 880/55=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 20, 36, 32, 54 ]
52
[ "36-20=16", "32/16=2", "54-2=52" ]
Current State: 52:[20, 36, 32, 54], Operations: [] Exploring Operation: 36-20=16, Resulting Numbers: [32, 54, 16] Generated Node #2: [32, 54, 16] from Operation: 36-20=16 Current State: 52:[32, 54, 16], Operations: ['36-20=16'] Exploring Operation: 32/16=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 32/16=2 Current State: 52:[54, 2], Operations: ['36-20=16', '32/16=2'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 68, 4, 78, 55 ]
74
[ "68+78=146", "4*55=220", "220-146=74" ]
Current State: 74:[68, 4, 78, 55], Operations: [] Exploring Operation: 68+78=146, Resulting Numbers: [4, 55, 146] Generated Node #2: [4, 55, 146] from Operation: 68+78=146 Current State: 74:[4, 55, 146], Operations: ['68+78=146'] Exploring Operation: 4*55=220, Resulting Numbers: [146, 220] Generated Node #3: [146, 220] from Operation: 4*55=220 Current State: 74:[146, 220], Operations: ['68+78=146', '4*55=220'] Exploring Operation: 220-146=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 15, 56, 40, 59 ]
90
[ "15+56=71", "59-40=19", "71+19=90" ]
Current State: 90:[15, 56, 40, 59], Operations: [] Exploring Operation: 15+56=71, Resulting Numbers: [40, 59, 71] Generated Node #2: [40, 59, 71] from Operation: 15+56=71 Current State: 90:[40, 59, 71], Operations: ['15+56=71'] Exploring Operation: 59-40=19, Resulting Numbers: [71, 19] Generated Node #3: [71, 19] from Operation: 59-40=19 Current State: 90:[71, 19], Operations: ['15+56=71', '59-40=19'] Exploring Operation: 71+19=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 3, 41, 63, 5 ]
44
[ "5-3=2", "63-41=22", "2*22=44" ]
Current State: 44:[3, 41, 63, 5], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [41, 63, 2] Generated Node #2: [41, 63, 2] from Operation: 5-3=2 Current State: 44:[41, 63, 2], Operations: ['5-3=2'] Exploring Operation: 63-41=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 63-41=22 Current State: 44:[2, 22], Operations: ['5-3=2', '63-41=22'] Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 8, 32, 24, 86 ]
58
[ "32/8=4", "86-24=62", "62-4=58" ]
Current State: 58:[8, 32, 24, 86], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [24, 86, 4] Generated Node #2: [24, 86, 4] from Operation: 32/8=4 Current State: 58:[24, 86, 4], Operations: ['32/8=4'] Exploring Operation: 86-24=62, Resulting Numbers: [4, 62] Generated Node #3: [4, 62] from Operation: 86-24=62 Current State: 58:[4, 62], Operations: ['32/8=4', '86-24=62'] Exploring Operation: 62-4=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 40, 38, 78, 52 ]
22
[ "40*78=3120", "3120/52=60", "60-38=22" ]
Current State: 22:[40, 38, 78, 52], Operations: [] Exploring Operation: 40*78=3120, Resulting Numbers: [38, 52, 3120] Generated Node #2: [38, 52, 3120] from Operation: 40*78=3120 Current State: 22:[38, 52, 3120], Operations: ['40*78=3120'] Exploring Operation: 3120/52=60, Resulting Numbers: [38, 60] Generated Node #3: [38, 60] from Operation: 3120/52=60 Current State: 22:[38, 60], Operations: ['40*78=3120', '3120/52=60'] Exploring Operation: 60-38=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 36, 2, 14, 40 ]
90
[ "36*40=1440", "2+14=16", "1440/16=90" ]
Current State: 90:[36, 2, 14, 40], Operations: [] Exploring Operation: 36*40=1440, Resulting Numbers: [2, 14, 1440] Generated Node #2: [2, 14, 1440] from Operation: 36*40=1440 Current State: 90:[2, 14, 1440], Operations: ['36*40=1440'] Exploring Operation: 2+14=16, Resulting Numbers: [1440, 16] Generated Node #3: [1440, 16] from Operation: 2+14=16 Current State: 90:[1440, 16], Operations: ['36*40=1440', '2+14=16'] Exploring Operation: 1440/16=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 18, 45, 99, 26 ]
98
[ "45-18=27", "99+26=125", "125-27=98" ]
Current State: 98:[18, 45, 99, 26], Operations: [] Exploring Operation: 45-18=27, Resulting Numbers: [99, 26, 27] Generated Node #2: [99, 26, 27] from Operation: 45-18=27 Current State: 98:[99, 26, 27], Operations: ['45-18=27'] Exploring Operation: 99+26=125, Resulting Numbers: [27, 125] Generated Node #3: [27, 125] from Operation: 99+26=125 Current State: 98:[27, 125], Operations: ['45-18=27', '99+26=125'] Exploring Operation: 125-27=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 25, 20, 51, 43 ]
89
[ "25-20=5", "51+43=94", "94-5=89" ]
Current State: 89:[25, 20, 51, 43], Operations: [] Exploring Operation: 25-20=5, Resulting Numbers: [51, 43, 5] Generated Node #2: [51, 43, 5] from Operation: 25-20=5 Current State: 89:[51, 43, 5], Operations: ['25-20=5'] Exploring Operation: 51+43=94, Resulting Numbers: [5, 94] Generated Node #3: [5, 94] from Operation: 51+43=94 Current State: 89:[5, 94], Operations: ['25-20=5', '51+43=94'] Exploring Operation: 94-5=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 33, 88, 40, 31 ]
46
[ "88-33=55", "40-31=9", "55-9=46" ]
Current State: 46:[33, 88, 40, 31], Operations: [] Exploring Operation: 88-33=55, Resulting Numbers: [40, 31, 55] Generated Node #2: [40, 31, 55] from Operation: 88-33=55 Current State: 46:[40, 31, 55], Operations: ['88-33=55'] Exploring Operation: 40-31=9, Resulting Numbers: [55, 9] Generated Node #3: [55, 9] from Operation: 40-31=9 Current State: 46:[55, 9], Operations: ['88-33=55', '40-31=9'] Exploring Operation: 55-9=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 7, 90, 11, 16 ]
33
[ "7*16=112", "90-11=79", "112-79=33" ]
Current State: 33:[7, 90, 11, 16], Operations: [] Exploring Operation: 7*16=112, Resulting Numbers: [90, 11, 112] Generated Node #2: [90, 11, 112] from Operation: 7*16=112 Current State: 33:[90, 11, 112], Operations: ['7*16=112'] Exploring Operation: 90-11=79, Resulting Numbers: [112, 79] Generated Node #3: [112, 79] from Operation: 90-11=79 Current State: 33:[112, 79], Operations: ['7*16=112', '90-11=79'] Exploring Operation: 112-79=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 49, 64, 72, 14 ]
56
[ "49+14=63", "64*63=4032", "4032/72=56" ]
Current State: 56:[49, 64, 72, 14], Operations: [] Exploring Operation: 49+14=63, Resulting Numbers: [64, 72, 63] Generated Node #2: [64, 72, 63] from Operation: 49+14=63 Current State: 56:[64, 72, 63], Operations: ['49+14=63'] Exploring Operation: 64*63=4032, Resulting Numbers: [72, 4032] Generated Node #3: [72, 4032] from Operation: 64*63=4032 Current State: 56:[72, 4032], Operations: ['49+14=63', '64*63=4032'] Exploring Operation: 4032/72=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 63, 34, 47, 38 ]
27
[ "47-38=9", "63/9=7", "34-7=27" ]
Current State: 27:[63, 34, 47, 38], Operations: [] Exploring Operation: 47-38=9, Resulting Numbers: [63, 34, 9] Generated Node #2: [63, 34, 9] from Operation: 47-38=9 Current State: 27:[63, 34, 9], Operations: ['47-38=9'] Exploring Operation: 63/9=7, Resulting Numbers: [34, 7] Generated Node #3: [34, 7] from Operation: 63/9=7 Current State: 27:[34, 7], Operations: ['47-38=9', '63/9=7'] Exploring Operation: 34-7=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 44, 58, 40, 98 ]
36
[ "44+58=102", "40+98=138", "138-102=36" ]
Current State: 36:[44, 58, 40, 98], Operations: [] Exploring Operation: 44+58=102, Resulting Numbers: [40, 98, 102] Generated Node #2: [40, 98, 102] from Operation: 44+58=102 Current State: 36:[40, 98, 102], Operations: ['44+58=102'] Exploring Operation: 40+98=138, Resulting Numbers: [102, 138] Generated Node #3: [102, 138] from Operation: 40+98=138 Current State: 36:[102, 138], Operations: ['44+58=102', '40+98=138'] Exploring Operation: 138-102=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 64, 88, 89, 31 ]
95
[ "64+31=95", "89-88=1", "95*1=95" ]
Current State: 95:[64, 88, 89, 31], Operations: [] Exploring Operation: 64+31=95, Resulting Numbers: [88, 89, 95] Generated Node #2: [88, 89, 95] from Operation: 64+31=95 Current State: 95:[88, 89, 95], Operations: ['64+31=95'] Exploring Operation: 89-88=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 89-88=1 Current State: 95:[95, 1], Operations: ['64+31=95', '89-88=1'] Exploring Operation: 95*1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 43, 74, 35, 27 ]
37
[ "43+27=70", "74*35=2590", "2590/70=37" ]
Current State: 37:[43, 74, 35, 27], Operations: [] Exploring Operation: 43+27=70, Resulting Numbers: [74, 35, 70] Generated Node #2: [74, 35, 70] from Operation: 43+27=70 Current State: 37:[74, 35, 70], Operations: ['43+27=70'] Exploring Operation: 74*35=2590, Resulting Numbers: [70, 2590] Generated Node #3: [70, 2590] from Operation: 74*35=2590 Current State: 37:[70, 2590], Operations: ['43+27=70', '74*35=2590'] Exploring Operation: 2590/70=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 33, 43, 48, 46 ]
59
[ "46-43=3", "33/3=11", "48+11=59" ]
Current State: 59:[33, 43, 48, 46], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [33, 48, 3] Generated Node #2: [33, 48, 3] from Operation: 46-43=3 Current State: 59:[33, 48, 3], Operations: ['46-43=3'] Exploring Operation: 33/3=11, Resulting Numbers: [48, 11] Generated Node #3: [48, 11] from Operation: 33/3=11 Current State: 59:[48, 11], Operations: ['46-43=3', '33/3=11'] Exploring Operation: 48+11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 99, 25, 13, 97 ]
63
[ "99-97=2", "25*2=50", "13+50=63" ]
Current State: 63:[99, 25, 13, 97], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [25, 13, 2] Generated Node #2: [25, 13, 2] from Operation: 99-97=2 Current State: 63:[25, 13, 2], Operations: ['99-97=2'] Exploring Operation: 25*2=50, Resulting Numbers: [13, 50] Generated Node #3: [13, 50] from Operation: 25*2=50 Current State: 63:[13, 50], Operations: ['99-97=2', '25*2=50'] Exploring Operation: 13+50=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 75, 89, 82, 67 ]
29
[ "89-75=14", "82-67=15", "14+15=29" ]
Current State: 29:[75, 89, 82, 67], Operations: [] Exploring Operation: 89-75=14, Resulting Numbers: [82, 67, 14] Generated Node #2: [82, 67, 14] from Operation: 89-75=14 Current State: 29:[82, 67, 14], Operations: ['89-75=14'] Exploring Operation: 82-67=15, Resulting Numbers: [14, 15] Generated Node #3: [14, 15] from Operation: 82-67=15 Current State: 29:[14, 15], Operations: ['89-75=14', '82-67=15'] Exploring Operation: 14+15=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 38, 56, 22, 39 ]
77
[ "38+56=94", "39-22=17", "94-17=77" ]
Current State: 77:[38, 56, 22, 39], Operations: [] Exploring Operation: 38+56=94, Resulting Numbers: [22, 39, 94] Generated Node #2: [22, 39, 94] from Operation: 38+56=94 Current State: 77:[22, 39, 94], Operations: ['38+56=94'] Exploring Operation: 39-22=17, Resulting Numbers: [94, 17] Generated Node #3: [94, 17] from Operation: 39-22=17 Current State: 77:[94, 17], Operations: ['38+56=94', '39-22=17'] Exploring Operation: 94-17=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 17, 99, 54, 10 ]
19
[ "99+54=153", "153/17=9", "10+9=19" ]
Current State: 19:[17, 99, 54, 10], Operations: [] Exploring Operation: 99+54=153, Resulting Numbers: [17, 10, 153] Generated Node #2: [17, 10, 153] from Operation: 99+54=153 Current State: 19:[17, 10, 153], Operations: ['99+54=153'] Exploring Operation: 153/17=9, Resulting Numbers: [10, 9] Generated Node #3: [10, 9] from Operation: 153/17=9 Current State: 19:[10, 9], Operations: ['99+54=153', '153/17=9'] Exploring Operation: 10+9=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 14, 10, 44, 34 ]
29
[ "10*44=440", "440-34=406", "406/14=29" ]
Current State: 29:[14, 10, 44, 34], Operations: [] Exploring Operation: 10*44=440, Resulting Numbers: [14, 34, 440] Generated Node #2: [14, 34, 440] from Operation: 10*44=440 Current State: 29:[14, 34, 440], Operations: ['10*44=440'] Exploring Operation: 440-34=406, Resulting Numbers: [14, 406] Generated Node #3: [14, 406] from Operation: 440-34=406 Current State: 29:[14, 406], Operations: ['10*44=440', '440-34=406'] Exploring Operation: 406/14=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 39, 18, 84, 6 ]
32
[ "18-6=12", "84/12=7", "39-7=32" ]
Current State: 32:[39, 18, 84, 6], Operations: [] Exploring Operation: 18-6=12, Resulting Numbers: [39, 84, 12] Generated Node #2: [39, 84, 12] from Operation: 18-6=12 Current State: 32:[39, 84, 12], Operations: ['18-6=12'] Exploring Operation: 84/12=7, Resulting Numbers: [39, 7] Generated Node #3: [39, 7] from Operation: 84/12=7 Current State: 32:[39, 7], Operations: ['18-6=12', '84/12=7'] Exploring Operation: 39-7=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 58, 32, 63, 4 ]
33
[ "58-32=26", "63-4=59", "59-26=33" ]
Current State: 33:[58, 32, 63, 4], Operations: [] Exploring Operation: 58-32=26, Resulting Numbers: [63, 4, 26] Generated Node #2: [63, 4, 26] from Operation: 58-32=26 Current State: 33:[63, 4, 26], Operations: ['58-32=26'] Exploring Operation: 63-4=59, Resulting Numbers: [26, 59] Generated Node #3: [26, 59] from Operation: 63-4=59 Current State: 33:[26, 59], Operations: ['58-32=26', '63-4=59'] Exploring Operation: 59-26=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 24, 8, 43, 7 ]
18
[ "24+8=32", "43+7=50", "50-32=18" ]
Current State: 18:[24, 8, 43, 7], Operations: [] Exploring Operation: 24+8=32, Resulting Numbers: [43, 7, 32] Generated Node #2: [43, 7, 32] from Operation: 24+8=32 Current State: 18:[43, 7, 32], Operations: ['24+8=32'] Exploring Operation: 43+7=50, Resulting Numbers: [32, 50] Generated Node #3: [32, 50] from Operation: 43+7=50 Current State: 18:[32, 50], Operations: ['24+8=32', '43+7=50'] Exploring Operation: 50-32=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 35, 53, 30, 26 ]
74
[ "53-35=18", "30+26=56", "18+56=74" ]
Current State: 74:[35, 53, 30, 26], Operations: [] Exploring Operation: 53-35=18, Resulting Numbers: [30, 26, 18] Generated Node #2: [30, 26, 18] from Operation: 53-35=18 Current State: 74:[30, 26, 18], Operations: ['53-35=18'] Exploring Operation: 30+26=56, Resulting Numbers: [18, 56] Generated Node #3: [18, 56] from Operation: 30+26=56 Current State: 74:[18, 56], Operations: ['53-35=18', '30+26=56'] Exploring Operation: 18+56=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 91, 49, 14, 5 ]
50
[ "91+49=140", "140/14=10", "5*10=50" ]
Current State: 50:[91, 49, 14, 5], Operations: [] Exploring Operation: 91+49=140, Resulting Numbers: [14, 5, 140] Generated Node #2: [14, 5, 140] from Operation: 91+49=140 Current State: 50:[14, 5, 140], Operations: ['91+49=140'] Exploring Operation: 140/14=10, Resulting Numbers: [5, 10] Generated Node #3: [5, 10] from Operation: 140/14=10 Current State: 50:[5, 10], Operations: ['91+49=140', '140/14=10'] Exploring Operation: 5*10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 92, 37, 26, 33 ]
39
[ "92-26=66", "66/33=2", "37+2=39" ]
Current State: 39:[92, 37, 26, 33], Operations: [] Exploring Operation: 92-26=66, Resulting Numbers: [37, 33, 66] Generated Node #2: [37, 33, 66] from Operation: 92-26=66 Current State: 39:[37, 33, 66], Operations: ['92-26=66'] Exploring Operation: 66/33=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 66/33=2 Current State: 39:[37, 2], Operations: ['92-26=66', '66/33=2'] Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 20, 27, 67, 47 ]
49
[ "67-27=40", "40/20=2", "47+2=49" ]
Current State: 49:[20, 27, 67, 47], Operations: [] Exploring Operation: 67-27=40, Resulting Numbers: [20, 47, 40] Generated Node #2: [20, 47, 40] from Operation: 67-27=40 Current State: 49:[20, 47, 40], Operations: ['67-27=40'] Exploring Operation: 40/20=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 40/20=2 Current State: 49:[47, 2], Operations: ['67-27=40', '40/20=2'] Exploring Operation: 47+2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 10, 16, 44, 72 ]
16
[ "10*72=720", "16*44=704", "720-704=16" ]
Current State: 16:[10, 16, 44, 72], Operations: [] Exploring Operation: 10*72=720, Resulting Numbers: [16, 44, 720] Generated Node #2: [16, 44, 720] from Operation: 10*72=720 Current State: 16:[16, 44, 720], Operations: ['10*72=720'] Exploring Operation: 16*44=704, Resulting Numbers: [720, 704] Generated Node #3: [720, 704] from Operation: 16*44=704 Current State: 16:[720, 704], Operations: ['10*72=720', '16*44=704'] Exploring Operation: 720-704=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 26, 87, 15, 59 ]
13
[ "87-26=61", "15+59=74", "74-61=13" ]
Current State: 13:[26, 87, 15, 59], Operations: [] Exploring Operation: 87-26=61, Resulting Numbers: [15, 59, 61] Generated Node #2: [15, 59, 61] from Operation: 87-26=61 Current State: 13:[15, 59, 61], Operations: ['87-26=61'] Exploring Operation: 15+59=74, Resulting Numbers: [61, 74] Generated Node #3: [61, 74] from Operation: 15+59=74 Current State: 13:[61, 74], Operations: ['87-26=61', '15+59=74'] Exploring Operation: 74-61=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 84, 36, 48, 77 ]
56
[ "36*77=2772", "2772-84=2688", "2688/48=56" ]
Current State: 56:[84, 36, 48, 77], Operations: [] Exploring Operation: 36*77=2772, Resulting Numbers: [84, 48, 2772] Generated Node #2: [84, 48, 2772] from Operation: 36*77=2772 Current State: 56:[84, 48, 2772], Operations: ['36*77=2772'] Exploring Operation: 2772-84=2688, Resulting Numbers: [48, 2688] Generated Node #3: [48, 2688] from Operation: 2772-84=2688 Current State: 56:[48, 2688], Operations: ['36*77=2772', '2772-84=2688'] Exploring Operation: 2688/48=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 3, 6, 14, 6 ]
43
[ "3*14=42", "6/6=1", "42+1=43" ]
Current State: 43:[3, 6, 14, 6], Operations: [] Exploring Operation: 3*14=42, Resulting Numbers: [6, 6, 42] Generated Node #2: [6, 6, 42] from Operation: 3*14=42 Current State: 43:[6, 6, 42], Operations: ['3*14=42'] Exploring Operation: 6/6=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 6/6=1 Current State: 43:[42, 1], Operations: ['3*14=42', '6/6=1'] Exploring Operation: 42+1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4