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
[ 43, 82, 11, 63 ]
91
[ "82-43=39", "63-11=52", "39+52=91" ]
Current State: 91:[43, 82, 11, 63], Operations: [] Exploring Operation: 82-43=39, Resulting Numbers: [11, 63, 39] Generated Node #2: [11, 63, 39] from Operation: 82-43=39 Current State: 91:[11, 63, 39], Operations: ['82-43=39'] Exploring Operation: 63-11=52, Resulting Numbers: [39, 52] Generated Node #3: [39, 52] from Operation: 63-11=52 Current State: 91:[39, 52], Operations: ['82-43=39', '63-11=52'] Exploring Operation: 39+52=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 10, 54, 3, 19 ]
95
[ "54-19=35", "3*35=105", "105-10=95" ]
Current State: 95:[10, 54, 3, 19], Operations: [] Exploring Operation: 54-19=35, Resulting Numbers: [10, 3, 35] Generated Node #2: [10, 3, 35] from Operation: 54-19=35 Current State: 95:[10, 3, 35], Operations: ['54-19=35'] Exploring Operation: 3*35=105, Resulting Numbers: [10, 105] Generated Node #3: [10, 105] from Operation: 3*35=105 Current State: 95:[10, 105], Operations: ['54-19=35', '3*35=105'] Exploring Operation: 105-10=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 19, 55, 13, 80 ]
22
[ "19+13=32", "55*32=1760", "1760/80=22" ]
Current State: 22:[19, 55, 13, 80], Operations: [] Exploring Operation: 19+13=32, Resulting Numbers: [55, 80, 32] Generated Node #2: [55, 80, 32] from Operation: 19+13=32 Current State: 22:[55, 80, 32], Operations: ['19+13=32'] Exploring Operation: 55*32=1760, Resulting Numbers: [80, 1760] Generated Node #3: [80, 1760] from Operation: 55*32=1760 Current State: 22:[80, 1760], Operations: ['19+13=32', '55*32=1760'] Exploring Operation: 1760/80=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 27, 56, 69, 65 ]
41
[ "69-65=4", "56/4=14", "27+14=41" ]
Current State: 41:[27, 56, 69, 65], Operations: [] Exploring Operation: 69-65=4, Resulting Numbers: [27, 56, 4] Generated Node #2: [27, 56, 4] from Operation: 69-65=4 Current State: 41:[27, 56, 4], Operations: ['69-65=4'] Exploring Operation: 56/4=14, Resulting Numbers: [27, 14] Generated Node #3: [27, 14] from Operation: 56/4=14 Current State: 41:[27, 14], Operations: ['69-65=4', '56/4=14'] Exploring Operation: 27+14=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 96, 68, 77, 64 ]
76
[ "96-77=19", "68-64=4", "19*4=76" ]
Current State: 76:[96, 68, 77, 64], Operations: [] Exploring Operation: 96-77=19, Resulting Numbers: [68, 64, 19] Generated Node #2: [68, 64, 19] from Operation: 96-77=19 Current State: 76:[68, 64, 19], Operations: ['96-77=19'] Exploring Operation: 68-64=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 68-64=4 Current State: 76:[19, 4], Operations: ['96-77=19', '68-64=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 57, 19, 50, 92 ]
34
[ "57+19=76", "92-50=42", "76-42=34" ]
Current State: 34:[57, 19, 50, 92], Operations: [] Exploring Operation: 57+19=76, Resulting Numbers: [50, 92, 76] Generated Node #2: [50, 92, 76] from Operation: 57+19=76 Current State: 34:[50, 92, 76], Operations: ['57+19=76'] Exploring Operation: 92-50=42, Resulting Numbers: [76, 42] Generated Node #3: [76, 42] from Operation: 92-50=42 Current State: 34:[76, 42], Operations: ['57+19=76', '92-50=42'] Exploring Operation: 76-42=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 97, 90, 13, 14 ]
91
[ "97-90=7", "14-7=7", "13*7=91" ]
Current State: 91:[97, 90, 13, 14], Operations: [] Exploring Operation: 97-90=7, Resulting Numbers: [13, 14, 7] Generated Node #2: [13, 14, 7] from Operation: 97-90=7 Current State: 91:[13, 14, 7], Operations: ['97-90=7'] Exploring Operation: 14-7=7, Resulting Numbers: [13, 7] Generated Node #3: [13, 7] from Operation: 14-7=7 Current State: 91:[13, 7], Operations: ['97-90=7', '14-7=7'] Exploring Operation: 13*7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 23, 88, 38, 56 ]
93
[ "23+88=111", "56-38=18", "111-18=93" ]
Current State: 93:[23, 88, 38, 56], Operations: [] Exploring Operation: 23+88=111, Resulting Numbers: [38, 56, 111] Generated Node #2: [38, 56, 111] from Operation: 23+88=111 Current State: 93:[38, 56, 111], Operations: ['23+88=111'] Exploring Operation: 56-38=18, Resulting Numbers: [111, 18] Generated Node #3: [111, 18] from Operation: 56-38=18 Current State: 93:[111, 18], Operations: ['23+88=111', '56-38=18'] Exploring Operation: 111-18=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 43, 36, 57, 21 ]
60
[ "43-36=7", "21/7=3", "57+3=60" ]
Current State: 60:[43, 36, 57, 21], Operations: [] Exploring Operation: 43-36=7, Resulting Numbers: [57, 21, 7] Generated Node #2: [57, 21, 7] from Operation: 43-36=7 Current State: 60:[57, 21, 7], Operations: ['43-36=7'] Exploring Operation: 21/7=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 21/7=3 Current State: 60:[57, 3], Operations: ['43-36=7', '21/7=3'] Exploring Operation: 57+3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 6, 39, 6, 64 ]
61
[ "6*6=36", "64-39=25", "36+25=61" ]
Current State: 61:[6, 39, 6, 64], Operations: [] Exploring Operation: 6*6=36, Resulting Numbers: [39, 64, 36] Generated Node #2: [39, 64, 36] from Operation: 6*6=36 Current State: 61:[39, 64, 36], Operations: ['6*6=36'] Exploring Operation: 64-39=25, Resulting Numbers: [36, 25] Generated Node #3: [36, 25] from Operation: 64-39=25 Current State: 61:[36, 25], Operations: ['6*6=36', '64-39=25'] Exploring Operation: 36+25=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 75, 63, 98, 5 ]
82
[ "98-63=35", "35/5=7", "75+7=82" ]
Current State: 82:[75, 63, 98, 5], Operations: [] Exploring Operation: 98-63=35, Resulting Numbers: [75, 5, 35] Generated Node #2: [75, 5, 35] from Operation: 98-63=35 Current State: 82:[75, 5, 35], Operations: ['98-63=35'] Exploring Operation: 35/5=7, Resulting Numbers: [75, 7] Generated Node #3: [75, 7] from Operation: 35/5=7 Current State: 82:[75, 7], Operations: ['98-63=35', '35/5=7'] Exploring Operation: 75+7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 82, 84, 86, 56 ]
26
[ "84-82=2", "56*2=112", "112-86=26" ]
Current State: 26:[82, 84, 86, 56], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [86, 56, 2] Generated Node #2: [86, 56, 2] from Operation: 84-82=2 Current State: 26:[86, 56, 2], Operations: ['84-82=2'] Exploring Operation: 56*2=112, Resulting Numbers: [86, 112] Generated Node #3: [86, 112] from Operation: 56*2=112 Current State: 26:[86, 112], Operations: ['84-82=2', '56*2=112'] Exploring Operation: 112-86=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 30, 55, 12, 54 ]
41
[ "55-30=25", "12+54=66", "66-25=41" ]
Current State: 41:[30, 55, 12, 54], Operations: [] Exploring Operation: 55-30=25, Resulting Numbers: [12, 54, 25] Generated Node #2: [12, 54, 25] from Operation: 55-30=25 Current State: 41:[12, 54, 25], Operations: ['55-30=25'] Exploring Operation: 12+54=66, Resulting Numbers: [25, 66] Generated Node #3: [25, 66] from Operation: 12+54=66 Current State: 41:[25, 66], Operations: ['55-30=25', '12+54=66'] Exploring Operation: 66-25=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 65, 55, 5, 83 ]
35
[ "83-65=18", "5*18=90", "90-55=35" ]
Current State: 35:[65, 55, 5, 83], Operations: [] Exploring Operation: 83-65=18, Resulting Numbers: [55, 5, 18] Generated Node #2: [55, 5, 18] from Operation: 83-65=18 Current State: 35:[55, 5, 18], Operations: ['83-65=18'] Exploring Operation: 5*18=90, Resulting Numbers: [55, 90] Generated Node #3: [55, 90] from Operation: 5*18=90 Current State: 35:[55, 90], Operations: ['83-65=18', '5*18=90'] Exploring Operation: 90-55=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 53, 58, 69, 16 ]
58
[ "53+58=111", "69-16=53", "111-53=58" ]
Current State: 58:[53, 58, 69, 16], Operations: [] Exploring Operation: 53+58=111, Resulting Numbers: [69, 16, 111] Generated Node #2: [69, 16, 111] from Operation: 53+58=111 Current State: 58:[69, 16, 111], Operations: ['53+58=111'] Exploring Operation: 69-16=53, Resulting Numbers: [111, 53] Generated Node #3: [111, 53] from Operation: 69-16=53 Current State: 58:[111, 53], Operations: ['53+58=111', '69-16=53'] Exploring Operation: 111-53=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 50, 52, 6, 90 ]
82
[ "52-50=2", "90-6=84", "84-2=82" ]
Current State: 82:[50, 52, 6, 90], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [6, 90, 2] Generated Node #2: [6, 90, 2] from Operation: 52-50=2 Current State: 82:[6, 90, 2], Operations: ['52-50=2'] Exploring Operation: 90-6=84, Resulting Numbers: [2, 84] Generated Node #3: [2, 84] from Operation: 90-6=84 Current State: 82:[2, 84], Operations: ['52-50=2', '90-6=84'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 14, 63, 49, 55 ]
47
[ "63+49=112", "112/14=8", "55-8=47" ]
Current State: 47:[14, 63, 49, 55], Operations: [] Exploring Operation: 63+49=112, Resulting Numbers: [14, 55, 112] Generated Node #2: [14, 55, 112] from Operation: 63+49=112 Current State: 47:[14, 55, 112], Operations: ['63+49=112'] Exploring Operation: 112/14=8, Resulting Numbers: [55, 8] Generated Node #3: [55, 8] from Operation: 112/14=8 Current State: 47:[55, 8], Operations: ['63+49=112', '112/14=8'] Exploring Operation: 55-8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 69, 24, 57, 82 ]
70
[ "69-24=45", "82-57=25", "45+25=70" ]
Current State: 70:[69, 24, 57, 82], Operations: [] Exploring Operation: 69-24=45, Resulting Numbers: [57, 82, 45] Generated Node #2: [57, 82, 45] from Operation: 69-24=45 Current State: 70:[57, 82, 45], Operations: ['69-24=45'] Exploring Operation: 82-57=25, Resulting Numbers: [45, 25] Generated Node #3: [45, 25] from Operation: 82-57=25 Current State: 70:[45, 25], Operations: ['69-24=45', '82-57=25'] Exploring Operation: 45+25=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 47, 94, 44, 70 ]
27
[ "47+94=141", "44+70=114", "141-114=27" ]
Current State: 27:[47, 94, 44, 70], Operations: [] Exploring Operation: 47+94=141, Resulting Numbers: [44, 70, 141] Generated Node #2: [44, 70, 141] from Operation: 47+94=141 Current State: 27:[44, 70, 141], Operations: ['47+94=141'] Exploring Operation: 44+70=114, Resulting Numbers: [141, 114] Generated Node #3: [141, 114] from Operation: 44+70=114 Current State: 27:[141, 114], Operations: ['47+94=141', '44+70=114'] Exploring Operation: 141-114=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 39, 67, 2, 27 ]
91
[ "39-27=12", "2*12=24", "67+24=91" ]
Current State: 91:[39, 67, 2, 27], Operations: [] Exploring Operation: 39-27=12, Resulting Numbers: [67, 2, 12] Generated Node #2: [67, 2, 12] from Operation: 39-27=12 Current State: 91:[67, 2, 12], Operations: ['39-27=12'] Exploring Operation: 2*12=24, Resulting Numbers: [67, 24] Generated Node #3: [67, 24] from Operation: 2*12=24 Current State: 91:[67, 24], Operations: ['39-27=12', '2*12=24'] Exploring Operation: 67+24=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 65, 12, 8 ]
43
[ "65-2=63", "12+8=20", "63-20=43" ]
Current State: 43:[2, 65, 12, 8], Operations: [] Exploring Operation: 65-2=63, Resulting Numbers: [12, 8, 63] Generated Node #2: [12, 8, 63] from Operation: 65-2=63 Current State: 43:[12, 8, 63], Operations: ['65-2=63'] Exploring Operation: 12+8=20, Resulting Numbers: [63, 20] Generated Node #3: [63, 20] from Operation: 12+8=20 Current State: 43:[63, 20], Operations: ['65-2=63', '12+8=20'] Exploring Operation: 63-20=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 25, 17, 75, 23 ]
52
[ "75/25=3", "23*3=69", "69-17=52" ]
Current State: 52:[25, 17, 75, 23], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [17, 23, 3] Generated Node #2: [17, 23, 3] from Operation: 75/25=3 Current State: 52:[17, 23, 3], Operations: ['75/25=3'] Exploring Operation: 23*3=69, Resulting Numbers: [17, 69] Generated Node #3: [17, 69] from Operation: 23*3=69 Current State: 52:[17, 69], Operations: ['75/25=3', '23*3=69'] Exploring Operation: 69-17=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 55, 74, 74, 2 ]
27
[ "74/74=1", "55-1=54", "54/2=27" ]
Current State: 27:[55, 74, 74, 2], Operations: [] Exploring Operation: 74/74=1, Resulting Numbers: [55, 2, 1] Generated Node #2: [55, 2, 1] from Operation: 74/74=1 Current State: 27:[55, 2, 1], Operations: ['74/74=1'] Exploring Operation: 55-1=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 55-1=54 Current State: 27:[2, 54], Operations: ['74/74=1', '55-1=54'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 9, 29, 94, 28 ]
46
[ "29-9=20", "94-28=66", "66-20=46" ]
Current State: 46:[9, 29, 94, 28], Operations: [] Exploring Operation: 29-9=20, Resulting Numbers: [94, 28, 20] Generated Node #2: [94, 28, 20] from Operation: 29-9=20 Current State: 46:[94, 28, 20], Operations: ['29-9=20'] Exploring Operation: 94-28=66, Resulting Numbers: [20, 66] Generated Node #3: [20, 66] from Operation: 94-28=66 Current State: 46:[20, 66], Operations: ['29-9=20', '94-28=66'] Exploring Operation: 66-20=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 54, 13, 58, 21 ]
71
[ "58-54=4", "21*4=84", "84-13=71" ]
Current State: 71:[54, 13, 58, 21], Operations: [] Exploring Operation: 58-54=4, Resulting Numbers: [13, 21, 4] Generated Node #2: [13, 21, 4] from Operation: 58-54=4 Current State: 71:[13, 21, 4], Operations: ['58-54=4'] Exploring Operation: 21*4=84, Resulting Numbers: [13, 84] Generated Node #3: [13, 84] from Operation: 21*4=84 Current State: 71:[13, 84], Operations: ['58-54=4', '21*4=84'] Exploring Operation: 84-13=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 1, 9, 19, 36 ]
46
[ "1*9=9", "19+36=55", "55-9=46" ]
Current State: 46:[1, 9, 19, 36], Operations: [] Exploring Operation: 1*9=9, Resulting Numbers: [19, 36, 9] Generated Node #2: [19, 36, 9] from Operation: 1*9=9 Current State: 46:[19, 36, 9], Operations: ['1*9=9'] Exploring Operation: 19+36=55, Resulting Numbers: [9, 55] Generated Node #3: [9, 55] from Operation: 19+36=55 Current State: 46:[9, 55], Operations: ['1*9=9', '19+36=55'] Exploring Operation: 55-9=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 22, 13, 64, 74 ]
90
[ "22-13=9", "74-64=10", "9*10=90" ]
Current State: 90:[22, 13, 64, 74], Operations: [] Exploring Operation: 22-13=9, Resulting Numbers: [64, 74, 9] Generated Node #2: [64, 74, 9] from Operation: 22-13=9 Current State: 90:[64, 74, 9], Operations: ['22-13=9'] Exploring Operation: 74-64=10, Resulting Numbers: [9, 10] Generated Node #3: [9, 10] from Operation: 74-64=10 Current State: 90:[9, 10], Operations: ['22-13=9', '74-64=10'] Exploring Operation: 9*10=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 68, 72, 20, 25 ]
55
[ "72-68=4", "20*4=80", "80-25=55" ]
Current State: 55:[68, 72, 20, 25], Operations: [] Exploring Operation: 72-68=4, Resulting Numbers: [20, 25, 4] Generated Node #2: [20, 25, 4] from Operation: 72-68=4 Current State: 55:[20, 25, 4], Operations: ['72-68=4'] Exploring Operation: 20*4=80, Resulting Numbers: [25, 80] Generated Node #3: [25, 80] from Operation: 20*4=80 Current State: 55:[25, 80], Operations: ['72-68=4', '20*4=80'] Exploring Operation: 80-25=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 62, 44, 45, 27 ]
54
[ "62-44=18", "45+27=72", "72-18=54" ]
Current State: 54:[62, 44, 45, 27], Operations: [] Exploring Operation: 62-44=18, Resulting Numbers: [45, 27, 18] Generated Node #2: [45, 27, 18] from Operation: 62-44=18 Current State: 54:[45, 27, 18], Operations: ['62-44=18'] Exploring Operation: 45+27=72, Resulting Numbers: [18, 72] Generated Node #3: [18, 72] from Operation: 45+27=72 Current State: 54:[18, 72], Operations: ['62-44=18', '45+27=72'] Exploring Operation: 72-18=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 16, 4, 31, 71 ]
24
[ "16*4=64", "71-31=40", "64-40=24" ]
Current State: 24:[16, 4, 31, 71], Operations: [] Exploring Operation: 16*4=64, Resulting Numbers: [31, 71, 64] Generated Node #2: [31, 71, 64] from Operation: 16*4=64 Current State: 24:[31, 71, 64], Operations: ['16*4=64'] Exploring Operation: 71-31=40, Resulting Numbers: [64, 40] Generated Node #3: [64, 40] from Operation: 71-31=40 Current State: 24:[64, 40], Operations: ['16*4=64', '71-31=40'] Exploring Operation: 64-40=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 3, 74, 20, 47 ]
61
[ "3*20=60", "74+47=121", "121-60=61" ]
Current State: 61:[3, 74, 20, 47], Operations: [] Exploring Operation: 3*20=60, Resulting Numbers: [74, 47, 60] Generated Node #2: [74, 47, 60] from Operation: 3*20=60 Current State: 61:[74, 47, 60], Operations: ['3*20=60'] Exploring Operation: 74+47=121, Resulting Numbers: [60, 121] Generated Node #3: [60, 121] from Operation: 74+47=121 Current State: 61:[60, 121], Operations: ['3*20=60', '74+47=121'] Exploring Operation: 121-60=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 47, 64, 41, 74 ]
50
[ "64-47=17", "74-41=33", "17+33=50" ]
Current State: 50:[47, 64, 41, 74], Operations: [] Exploring Operation: 64-47=17, Resulting Numbers: [41, 74, 17] Generated Node #2: [41, 74, 17] from Operation: 64-47=17 Current State: 50:[41, 74, 17], Operations: ['64-47=17'] Exploring Operation: 74-41=33, Resulting Numbers: [17, 33] Generated Node #3: [17, 33] from Operation: 74-41=33 Current State: 50:[17, 33], Operations: ['64-47=17', '74-41=33'] Exploring Operation: 17+33=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 37, 59, 28, 18 ]
12
[ "59-37=22", "28-18=10", "22-10=12" ]
Current State: 12:[37, 59, 28, 18], Operations: [] Exploring Operation: 59-37=22, Resulting Numbers: [28, 18, 22] Generated Node #2: [28, 18, 22] from Operation: 59-37=22 Current State: 12:[28, 18, 22], Operations: ['59-37=22'] Exploring Operation: 28-18=10, Resulting Numbers: [22, 10] Generated Node #3: [22, 10] from Operation: 28-18=10 Current State: 12:[22, 10], Operations: ['59-37=22', '28-18=10'] Exploring Operation: 22-10=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 79, 15, 10, 5 ]
46
[ "15+10=25", "5*25=125", "125-79=46" ]
Current State: 46:[79, 15, 10, 5], Operations: [] Exploring Operation: 15+10=25, Resulting Numbers: [79, 5, 25] Generated Node #2: [79, 5, 25] from Operation: 15+10=25 Current State: 46:[79, 5, 25], Operations: ['15+10=25'] Exploring Operation: 5*25=125, Resulting Numbers: [79, 125] Generated Node #3: [79, 125] from Operation: 5*25=125 Current State: 46:[79, 125], Operations: ['15+10=25', '5*25=125'] Exploring Operation: 125-79=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 2, 39, 29, 56 ]
44
[ "2+39=41", "29+56=85", "85-41=44" ]
Current State: 44:[2, 39, 29, 56], Operations: [] Exploring Operation: 2+39=41, Resulting Numbers: [29, 56, 41] Generated Node #2: [29, 56, 41] from Operation: 2+39=41 Current State: 44:[29, 56, 41], Operations: ['2+39=41'] Exploring Operation: 29+56=85, Resulting Numbers: [41, 85] Generated Node #3: [41, 85] from Operation: 29+56=85 Current State: 44:[41, 85], Operations: ['2+39=41', '29+56=85'] Exploring Operation: 85-41=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 74, 47, 63, 50 ]
14
[ "74-47=27", "63-50=13", "27-13=14" ]
Current State: 14:[74, 47, 63, 50], Operations: [] Exploring Operation: 74-47=27, Resulting Numbers: [63, 50, 27] Generated Node #2: [63, 50, 27] from Operation: 74-47=27 Current State: 14:[63, 50, 27], Operations: ['74-47=27'] Exploring Operation: 63-50=13, Resulting Numbers: [27, 13] Generated Node #3: [27, 13] from Operation: 63-50=13 Current State: 14:[27, 13], Operations: ['74-47=27', '63-50=13'] Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 40, 60, 10, 26 ]
41
[ "40/10=4", "60/4=15", "26+15=41" ]
Current State: 41:[40, 60, 10, 26], Operations: [] Exploring Operation: 40/10=4, Resulting Numbers: [60, 26, 4] Generated Node #2: [60, 26, 4] from Operation: 40/10=4 Current State: 41:[60, 26, 4], Operations: ['40/10=4'] Exploring Operation: 60/4=15, Resulting Numbers: [26, 15] Generated Node #3: [26, 15] from Operation: 60/4=15 Current State: 41:[26, 15], Operations: ['40/10=4', '60/4=15'] Exploring Operation: 26+15=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 45, 66, 73, 96 ]
88
[ "45+66=111", "96-73=23", "111-23=88" ]
Current State: 88:[45, 66, 73, 96], Operations: [] Exploring Operation: 45+66=111, Resulting Numbers: [73, 96, 111] Generated Node #2: [73, 96, 111] from Operation: 45+66=111 Current State: 88:[73, 96, 111], Operations: ['45+66=111'] Exploring Operation: 96-73=23, Resulting Numbers: [111, 23] Generated Node #3: [111, 23] from Operation: 96-73=23 Current State: 88:[111, 23], Operations: ['45+66=111', '96-73=23'] Exploring Operation: 111-23=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 5, 1, 71, 36 ]
31
[ "5-1=4", "71-36=35", "35-4=31" ]
Current State: 31:[5, 1, 71, 36], Operations: [] Exploring Operation: 5-1=4, Resulting Numbers: [71, 36, 4] Generated Node #2: [71, 36, 4] from Operation: 5-1=4 Current State: 31:[71, 36, 4], Operations: ['5-1=4'] Exploring Operation: 71-36=35, Resulting Numbers: [4, 35] Generated Node #3: [4, 35] from Operation: 71-36=35 Current State: 31:[4, 35], Operations: ['5-1=4', '71-36=35'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 43, 6, 28, 50 ]
28
[ "43+6=49", "50-49=1", "28*1=28" ]
Current State: 28:[43, 6, 28, 50], Operations: [] Exploring Operation: 43+6=49, Resulting Numbers: [28, 50, 49] Generated Node #2: [28, 50, 49] from Operation: 43+6=49 Current State: 28:[28, 50, 49], Operations: ['43+6=49'] Exploring Operation: 50-49=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 50-49=1 Current State: 28:[28, 1], Operations: ['43+6=49', '50-49=1'] Exploring Operation: 28*1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 16, 80, 85, 43 ]
64
[ "80-16=64", "85+43=128", "128-64=64" ]
Current State: 64:[16, 80, 85, 43], Operations: [] Exploring Operation: 80-16=64, Resulting Numbers: [85, 43, 64] Generated Node #2: [85, 43, 64] from Operation: 80-16=64 Current State: 64:[85, 43, 64], Operations: ['80-16=64'] Exploring Operation: 85+43=128, Resulting Numbers: [64, 128] Generated Node #3: [64, 128] from Operation: 85+43=128 Current State: 64:[64, 128], Operations: ['80-16=64', '85+43=128'] Exploring Operation: 128-64=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 82, 21, 44, 41 ]
64
[ "82-21=61", "44-41=3", "61+3=64" ]
Current State: 64:[82, 21, 44, 41], Operations: [] Exploring Operation: 82-21=61, Resulting Numbers: [44, 41, 61] Generated Node #2: [44, 41, 61] from Operation: 82-21=61 Current State: 64:[44, 41, 61], Operations: ['82-21=61'] Exploring Operation: 44-41=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 44-41=3 Current State: 64:[61, 3], Operations: ['82-21=61', '44-41=3'] Exploring Operation: 61+3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 44, 15, 39, 29 ]
97
[ "44-15=29", "39+29=68", "29+68=97" ]
Current State: 97:[44, 15, 39, 29], Operations: [] Exploring Operation: 44-15=29, Resulting Numbers: [39, 29, 29] Generated Node #2: [39, 29, 29] from Operation: 44-15=29 Current State: 97:[39, 29, 29], Operations: ['44-15=29'] Exploring Operation: 39+29=68, Resulting Numbers: [68] 68,97 equal: Goal Reached Exploring Operation: 29+68=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 25, 75, 46, 51 ]
94
[ "75/25=3", "46+51=97", "97-3=94" ]
Current State: 94:[25, 75, 46, 51], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [46, 51, 3] Generated Node #2: [46, 51, 3] from Operation: 75/25=3 Current State: 94:[46, 51, 3], Operations: ['75/25=3'] Exploring Operation: 46+51=97, Resulting Numbers: [3, 97] Generated Node #3: [3, 97] from Operation: 46+51=97 Current State: 94:[3, 97], Operations: ['75/25=3', '46+51=97'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 7, 83, 15, 75 ]
64
[ "15-7=8", "83-75=8", "8*8=64" ]
Current State: 64:[7, 83, 15, 75], Operations: [] Exploring Operation: 15-7=8, Resulting Numbers: [83, 75, 8] Generated Node #2: [83, 75, 8] from Operation: 15-7=8 Current State: 64:[83, 75, 8], Operations: ['15-7=8'] Exploring Operation: 83-75=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 83-75=8 Current State: 64:[8, 8], Operations: ['15-7=8', '83-75=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 5, 22, 28, 75 ]
63
[ "5*22=110", "75-28=47", "110-47=63" ]
Current State: 63:[5, 22, 28, 75], Operations: [] Exploring Operation: 5*22=110, Resulting Numbers: [28, 75, 110] Generated Node #2: [28, 75, 110] from Operation: 5*22=110 Current State: 63:[28, 75, 110], Operations: ['5*22=110'] Exploring Operation: 75-28=47, Resulting Numbers: [110, 47] Generated Node #3: [110, 47] from Operation: 75-28=47 Current State: 63:[110, 47], Operations: ['5*22=110', '75-28=47'] Exploring Operation: 110-47=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 8, 35, 4, 52 ]
80
[ "8+52=60", "35*4=140", "140-60=80" ]
Current State: 80:[8, 35, 4, 52], Operations: [] Exploring Operation: 8+52=60, Resulting Numbers: [35, 4, 60] Generated Node #2: [35, 4, 60] from Operation: 8+52=60 Current State: 80:[35, 4, 60], Operations: ['8+52=60'] Exploring Operation: 35*4=140, Resulting Numbers: [60, 140] Generated Node #3: [60, 140] from Operation: 35*4=140 Current State: 80:[60, 140], Operations: ['8+52=60', '35*4=140'] Exploring Operation: 140-60=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 49, 6, 90, 5 ]
73
[ "49+6=55", "90/5=18", "55+18=73" ]
Current State: 73:[49, 6, 90, 5], Operations: [] Exploring Operation: 49+6=55, Resulting Numbers: [90, 5, 55] Generated Node #2: [90, 5, 55] from Operation: 49+6=55 Current State: 73:[90, 5, 55], Operations: ['49+6=55'] Exploring Operation: 90/5=18, Resulting Numbers: [55, 18] Generated Node #3: [55, 18] from Operation: 90/5=18 Current State: 73:[55, 18], Operations: ['49+6=55', '90/5=18'] Exploring Operation: 55+18=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 59, 36, 5, 7 ]
59
[ "5*7=35", "36-35=1", "59*1=59" ]
Current State: 59:[59, 36, 5, 7], Operations: [] Exploring Operation: 5*7=35, Resulting Numbers: [59, 36, 35] Generated Node #2: [59, 36, 35] from Operation: 5*7=35 Current State: 59:[59, 36, 35], Operations: ['5*7=35'] Exploring Operation: 36-35=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 36-35=1 Current State: 59:[59, 1], Operations: ['5*7=35', '36-35=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 52, 77, 5, 69 ]
39
[ "77-52=25", "69-5=64", "64-25=39" ]
Current State: 39:[52, 77, 5, 69], Operations: [] Exploring Operation: 77-52=25, Resulting Numbers: [5, 69, 25] Generated Node #2: [5, 69, 25] from Operation: 77-52=25 Current State: 39:[5, 69, 25], Operations: ['77-52=25'] Exploring Operation: 69-5=64, Resulting Numbers: [25, 64] Generated Node #3: [25, 64] from Operation: 69-5=64 Current State: 39:[25, 64], Operations: ['77-52=25', '69-5=64'] Exploring Operation: 64-25=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 86, 96, 16, 52 ]
56
[ "86+96=182", "16*182=2912", "2912/52=56" ]
Current State: 56:[86, 96, 16, 52], Operations: [] Exploring Operation: 86+96=182, Resulting Numbers: [16, 52, 182] Generated Node #2: [16, 52, 182] from Operation: 86+96=182 Current State: 56:[16, 52, 182], Operations: ['86+96=182'] Exploring Operation: 16*182=2912, Resulting Numbers: [52, 2912] Generated Node #3: [52, 2912] from Operation: 16*182=2912 Current State: 56:[52, 2912], Operations: ['86+96=182', '16*182=2912'] Exploring Operation: 2912/52=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 7, 57, 5, 37 ]
65
[ "57-7=50", "50-37=13", "5*13=65" ]
Current State: 65:[7, 57, 5, 37], Operations: [] Exploring Operation: 57-7=50, Resulting Numbers: [5, 37, 50] Generated Node #2: [5, 37, 50] from Operation: 57-7=50 Current State: 65:[5, 37, 50], Operations: ['57-7=50'] Exploring Operation: 50-37=13, Resulting Numbers: [5, 13] Generated Node #3: [5, 13] from Operation: 50-37=13 Current State: 65:[5, 13], Operations: ['57-7=50', '50-37=13'] Exploring Operation: 5*13=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 53, 52, 2, 80 ]
29
[ "53+80=133", "52*2=104", "133-104=29" ]
Current State: 29:[53, 52, 2, 80], Operations: [] Exploring Operation: 53+80=133, Resulting Numbers: [52, 2, 133] Generated Node #2: [52, 2, 133] from Operation: 53+80=133 Current State: 29:[52, 2, 133], Operations: ['53+80=133'] Exploring Operation: 52*2=104, Resulting Numbers: [133, 104] Generated Node #3: [133, 104] from Operation: 52*2=104 Current State: 29:[133, 104], Operations: ['53+80=133', '52*2=104'] Exploring Operation: 133-104=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 34, 57, 47, 2 ]
29
[ "57-47=10", "10/2=5", "34-5=29" ]
Current State: 29:[34, 57, 47, 2], Operations: [] Exploring Operation: 57-47=10, Resulting Numbers: [34, 2, 10] Generated Node #2: [34, 2, 10] from Operation: 57-47=10 Current State: 29:[34, 2, 10], Operations: ['57-47=10'] Exploring Operation: 10/2=5, Resulting Numbers: [34, 5] Generated Node #3: [34, 5] from Operation: 10/2=5 Current State: 29:[34, 5], Operations: ['57-47=10', '10/2=5'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 40, 81, 7, 10 ]
29
[ "81-40=41", "7*10=70", "70-41=29" ]
Current State: 29:[40, 81, 7, 10], Operations: [] Exploring Operation: 81-40=41, Resulting Numbers: [7, 10, 41] Generated Node #2: [7, 10, 41] from Operation: 81-40=41 Current State: 29:[7, 10, 41], Operations: ['81-40=41'] Exploring Operation: 7*10=70, Resulting Numbers: [41, 70] Generated Node #3: [41, 70] from Operation: 7*10=70 Current State: 29:[41, 70], Operations: ['81-40=41', '7*10=70'] Exploring Operation: 70-41=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 88, 15, 2, 52 ]
85
[ "88+52=140", "140/2=70", "15+70=85" ]
Current State: 85:[88, 15, 2, 52], Operations: [] Exploring Operation: 88+52=140, Resulting Numbers: [15, 2, 140] Generated Node #2: [15, 2, 140] from Operation: 88+52=140 Current State: 85:[15, 2, 140], Operations: ['88+52=140'] Exploring Operation: 140/2=70, Resulting Numbers: [15, 70] Generated Node #3: [15, 70] from Operation: 140/2=70 Current State: 85:[15, 70], Operations: ['88+52=140', '140/2=70'] Exploring Operation: 15+70=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 66, 31, 52, 69 ]
63
[ "69-66=3", "52-31=21", "3*21=63" ]
Current State: 63:[66, 31, 52, 69], Operations: [] Exploring Operation: 69-66=3, Resulting Numbers: [31, 52, 3] Generated Node #2: [31, 52, 3] from Operation: 69-66=3 Current State: 63:[31, 52, 3], Operations: ['69-66=3'] Exploring Operation: 52-31=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 52-31=21 Current State: 63:[3, 21], Operations: ['69-66=3', '52-31=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 29, 97, 5, 50 ]
71
[ "29+97=126", "5+50=55", "126-55=71" ]
Current State: 71:[29, 97, 5, 50], Operations: [] Exploring Operation: 29+97=126, Resulting Numbers: [5, 50, 126] Generated Node #2: [5, 50, 126] from Operation: 29+97=126 Current State: 71:[5, 50, 126], Operations: ['29+97=126'] Exploring Operation: 5+50=55, Resulting Numbers: [126, 55] Generated Node #3: [126, 55] from Operation: 5+50=55 Current State: 71:[126, 55], Operations: ['29+97=126', '5+50=55'] Exploring Operation: 126-55=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 9, 45, 65, 43 ]
72
[ "45-9=36", "65+43=108", "108-36=72" ]
Current State: 72:[9, 45, 65, 43], Operations: [] Exploring Operation: 45-9=36, Resulting Numbers: [65, 43, 36] Generated Node #2: [65, 43, 36] from Operation: 45-9=36 Current State: 72:[65, 43, 36], Operations: ['45-9=36'] Exploring Operation: 65+43=108, Resulting Numbers: [36, 108] Generated Node #3: [36, 108] from Operation: 65+43=108 Current State: 72:[36, 108], Operations: ['45-9=36', '65+43=108'] Exploring Operation: 108-36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 6, 60, 19, 3 ]
98
[ "6*19=114", "114/3=38", "60+38=98" ]
Current State: 98:[6, 60, 19, 3], Operations: [] Exploring Operation: 6*19=114, Resulting Numbers: [60, 3, 114] Generated Node #2: [60, 3, 114] from Operation: 6*19=114 Current State: 98:[60, 3, 114], Operations: ['6*19=114'] Exploring Operation: 114/3=38, Resulting Numbers: [60, 38] Generated Node #3: [60, 38] from Operation: 114/3=38 Current State: 98:[60, 38], Operations: ['6*19=114', '114/3=38'] Exploring Operation: 60+38=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 6, 8, 54, 4 ]
23
[ "8-6=2", "54/2=27", "27-4=23" ]
Current State: 23:[6, 8, 54, 4], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [54, 4, 2] Generated Node #2: [54, 4, 2] from Operation: 8-6=2 Current State: 23:[54, 4, 2], Operations: ['8-6=2'] Exploring Operation: 54/2=27, Resulting Numbers: [4, 27] Generated Node #3: [4, 27] from Operation: 54/2=27 Current State: 23:[4, 27], Operations: ['8-6=2', '54/2=27'] Exploring Operation: 27-4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 79, 23, 46, 16 ]
93
[ "79+16=95", "46/23=2", "95-2=93" ]
Current State: 93:[79, 23, 46, 16], Operations: [] Exploring Operation: 79+16=95, Resulting Numbers: [23, 46, 95] Generated Node #2: [23, 46, 95] from Operation: 79+16=95 Current State: 93:[23, 46, 95], Operations: ['79+16=95'] Exploring Operation: 46/23=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 46/23=2 Current State: 93:[95, 2], Operations: ['79+16=95', '46/23=2'] Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 2, 54, 71, 43 ]
28
[ "2+54=56", "71-43=28", "56-28=28" ]
Current State: 28:[2, 54, 71, 43], Operations: [] Exploring Operation: 2+54=56, Resulting Numbers: [71, 43, 56] Generated Node #2: [71, 43, 56] from Operation: 2+54=56 Current State: 28:[71, 43, 56], Operations: ['2+54=56'] Exploring Operation: 71-43=28, Resulting Numbers: [56, 28] Generated Node #3: [56, 28] from Operation: 71-43=28 Current State: 28:[56, 28], Operations: ['2+54=56', '71-43=28'] Exploring Operation: 56-28=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 60, 21, 71, 51 ]
59
[ "60-21=39", "71-51=20", "39+20=59" ]
Current State: 59:[60, 21, 71, 51], Operations: [] Exploring Operation: 60-21=39, Resulting Numbers: [71, 51, 39] Generated Node #2: [71, 51, 39] from Operation: 60-21=39 Current State: 59:[71, 51, 39], Operations: ['60-21=39'] Exploring Operation: 71-51=20, Resulting Numbers: [39, 20] Generated Node #3: [39, 20] from Operation: 71-51=20 Current State: 59:[39, 20], Operations: ['60-21=39', '71-51=20'] Exploring Operation: 39+20=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 47, 3, 9, 54 ]
98
[ "47+54=101", "9/3=3", "101-3=98" ]
Current State: 98:[47, 3, 9, 54], Operations: [] Exploring Operation: 47+54=101, Resulting Numbers: [3, 9, 101] Generated Node #2: [3, 9, 101] from Operation: 47+54=101 Current State: 98:[3, 9, 101], Operations: ['47+54=101'] Exploring Operation: 9/3=3, Resulting Numbers: [101, 3] Generated Node #3: [101, 3] from Operation: 9/3=3 Current State: 98:[101, 3], Operations: ['47+54=101', '9/3=3'] Exploring Operation: 101-3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 9, 41, 89, 11 ]
50
[ "9+41=50", "89+11=100", "100-50=50" ]
Current State: 50:[9, 41, 89, 11], Operations: [] Exploring Operation: 9+41=50, Resulting Numbers: [89, 11, 50] Generated Node #2: [89, 11, 50] from Operation: 9+41=50 Current State: 50:[89, 11, 50], Operations: ['9+41=50'] Exploring Operation: 89+11=100, Resulting Numbers: [50, 100] Generated Node #3: [50, 100] from Operation: 89+11=100 Current State: 50:[50, 100], Operations: ['9+41=50', '89+11=100'] Exploring Operation: 100-50=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 61, 29, 81, 31 ]
80
[ "61-29=32", "81+31=112", "112-32=80" ]
Current State: 80:[61, 29, 81, 31], Operations: [] Exploring Operation: 61-29=32, Resulting Numbers: [81, 31, 32] Generated Node #2: [81, 31, 32] from Operation: 61-29=32 Current State: 80:[81, 31, 32], Operations: ['61-29=32'] Exploring Operation: 81+31=112, Resulting Numbers: [32, 112] Generated Node #3: [32, 112] from Operation: 81+31=112 Current State: 80:[32, 112], Operations: ['61-29=32', '81+31=112'] Exploring Operation: 112-32=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 43, 57, 24, 56 ]
28
[ "57-43=14", "56/14=4", "24+4=28" ]
Current State: 28:[43, 57, 24, 56], Operations: [] Exploring Operation: 57-43=14, Resulting Numbers: [24, 56, 14] Generated Node #2: [24, 56, 14] from Operation: 57-43=14 Current State: 28:[24, 56, 14], Operations: ['57-43=14'] Exploring Operation: 56/14=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 56/14=4 Current State: 28:[24, 4], Operations: ['57-43=14', '56/14=4'] Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 97, 7, 49, 15 ]
70
[ "97+7=104", "49-15=34", "104-34=70" ]
Current State: 70:[97, 7, 49, 15], Operations: [] Exploring Operation: 97+7=104, Resulting Numbers: [49, 15, 104] Generated Node #2: [49, 15, 104] from Operation: 97+7=104 Current State: 70:[49, 15, 104], Operations: ['97+7=104'] Exploring Operation: 49-15=34, Resulting Numbers: [104, 34] Generated Node #3: [104, 34] from Operation: 49-15=34 Current State: 70:[104, 34], Operations: ['97+7=104', '49-15=34'] Exploring Operation: 104-34=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 34, 92, 42, 90 ]
55
[ "92-90=2", "42/2=21", "34+21=55" ]
Current State: 55:[34, 92, 42, 90], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [34, 42, 2] Generated Node #2: [34, 42, 2] from Operation: 92-90=2 Current State: 55:[34, 42, 2], Operations: ['92-90=2'] Exploring Operation: 42/2=21, Resulting Numbers: [34, 21] Generated Node #3: [34, 21] from Operation: 42/2=21 Current State: 55:[34, 21], Operations: ['92-90=2', '42/2=21'] Exploring Operation: 34+21=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 12, 44, 50, 20 ]
92
[ "50-44=6", "12*6=72", "20+72=92" ]
Current State: 92:[12, 44, 50, 20], Operations: [] Exploring Operation: 50-44=6, Resulting Numbers: [12, 20, 6] Generated Node #2: [12, 20, 6] from Operation: 50-44=6 Current State: 92:[12, 20, 6], Operations: ['50-44=6'] Exploring Operation: 12*6=72, Resulting Numbers: [20, 72] Generated Node #3: [20, 72] from Operation: 12*6=72 Current State: 92:[20, 72], Operations: ['50-44=6', '12*6=72'] Exploring Operation: 20+72=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 12, 2, 39, 5 ]
100
[ "39+5=44", "2*44=88", "12+88=100" ]
Current State: 100:[12, 2, 39, 5], Operations: [] Exploring Operation: 39+5=44, Resulting Numbers: [12, 2, 44] Generated Node #2: [12, 2, 44] from Operation: 39+5=44 Current State: 100:[12, 2, 44], Operations: ['39+5=44'] Exploring Operation: 2*44=88, Resulting Numbers: [12, 88] Generated Node #3: [12, 88] from Operation: 2*44=88 Current State: 100:[12, 88], Operations: ['39+5=44', '2*44=88'] Exploring Operation: 12+88=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 92, 42, 87, 82 ]
40
[ "92+82=174", "174/87=2", "42-2=40" ]
Current State: 40:[92, 42, 87, 82], Operations: [] Exploring Operation: 92+82=174, Resulting Numbers: [42, 87, 174] Generated Node #2: [42, 87, 174] from Operation: 92+82=174 Current State: 40:[42, 87, 174], Operations: ['92+82=174'] Exploring Operation: 174/87=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 174/87=2 Current State: 40:[42, 2], Operations: ['92+82=174', '174/87=2'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 69, 36, 18, 44 ]
94
[ "69*36=2484", "2484/18=138", "138-44=94" ]
Current State: 94:[69, 36, 18, 44], Operations: [] Exploring Operation: 69*36=2484, Resulting Numbers: [18, 44, 2484] Generated Node #2: [18, 44, 2484] from Operation: 69*36=2484 Current State: 94:[18, 44, 2484], Operations: ['69*36=2484'] Exploring Operation: 2484/18=138, Resulting Numbers: [44, 138] Generated Node #3: [44, 138] from Operation: 2484/18=138 Current State: 94:[44, 138], Operations: ['69*36=2484', '2484/18=138'] Exploring Operation: 138-44=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 39, 7, 11, 47 ]
45
[ "47-39=8", "7*8=56", "56-11=45" ]
Current State: 45:[39, 7, 11, 47], Operations: [] Exploring Operation: 47-39=8, Resulting Numbers: [7, 11, 8] Generated Node #2: [7, 11, 8] from Operation: 47-39=8 Current State: 45:[7, 11, 8], Operations: ['47-39=8'] Exploring Operation: 7*8=56, Resulting Numbers: [11, 56] Generated Node #3: [11, 56] from Operation: 7*8=56 Current State: 45:[11, 56], Operations: ['47-39=8', '7*8=56'] Exploring Operation: 56-11=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 55, 43, 88, 92 ]
82
[ "55+43=98", "88+92=180", "180-98=82" ]
Current State: 82:[55, 43, 88, 92], Operations: [] Exploring Operation: 55+43=98, Resulting Numbers: [88, 92, 98] Generated Node #2: [88, 92, 98] from Operation: 55+43=98 Current State: 82:[88, 92, 98], Operations: ['55+43=98'] Exploring Operation: 88+92=180, Resulting Numbers: [98, 180] Generated Node #3: [98, 180] from Operation: 88+92=180 Current State: 82:[98, 180], Operations: ['55+43=98', '88+92=180'] Exploring Operation: 180-98=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 32, 14, 97, 74 ]
23
[ "32+14=46", "97-74=23", "46-23=23" ]
Current State: 23:[32, 14, 97, 74], Operations: [] Exploring Operation: 32+14=46, Resulting Numbers: [97, 74, 46] Generated Node #2: [97, 74, 46] from Operation: 32+14=46 Current State: 23:[97, 74, 46], Operations: ['32+14=46'] Exploring Operation: 97-74=23, Resulting Numbers: [46, 23] Generated Node #3: [46, 23] from Operation: 97-74=23 Current State: 23:[46, 23], Operations: ['32+14=46', '97-74=23'] Exploring Operation: 46-23=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 26, 58, 31, 2 ]
24
[ "31-26=5", "58/2=29", "29-5=24" ]
Current State: 24:[26, 58, 31, 2], Operations: [] Exploring Operation: 31-26=5, Resulting Numbers: [58, 2, 5] Generated Node #2: [58, 2, 5] from Operation: 31-26=5 Current State: 24:[58, 2, 5], Operations: ['31-26=5'] Exploring Operation: 58/2=29, Resulting Numbers: [5, 29] Generated Node #3: [5, 29] from Operation: 58/2=29 Current State: 24:[5, 29], Operations: ['31-26=5', '58/2=29'] Exploring Operation: 29-5=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 8, 37, 89, 56 ]
63
[ "56-37=19", "8*19=152", "152-89=63" ]
Current State: 63:[8, 37, 89, 56], Operations: [] Exploring Operation: 56-37=19, Resulting Numbers: [8, 89, 19] Generated Node #2: [8, 89, 19] from Operation: 56-37=19 Current State: 63:[8, 89, 19], Operations: ['56-37=19'] Exploring Operation: 8*19=152, Resulting Numbers: [89, 152] Generated Node #3: [89, 152] from Operation: 8*19=152 Current State: 63:[89, 152], Operations: ['56-37=19', '8*19=152'] Exploring Operation: 152-89=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 42, 18, 50, 3 ]
71
[ "42-18=24", "50-3=47", "24+47=71" ]
Current State: 71:[42, 18, 50, 3], Operations: [] Exploring Operation: 42-18=24, Resulting Numbers: [50, 3, 24] Generated Node #2: [50, 3, 24] from Operation: 42-18=24 Current State: 71:[50, 3, 24], Operations: ['42-18=24'] Exploring Operation: 50-3=47, Resulting Numbers: [24, 47] Generated Node #3: [24, 47] from Operation: 50-3=47 Current State: 71:[24, 47], Operations: ['42-18=24', '50-3=47'] Exploring Operation: 24+47=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 54, 92, 6, 87 ]
14
[ "54/6=9", "92-87=5", "9+5=14" ]
Current State: 14:[54, 92, 6, 87], Operations: [] Exploring Operation: 54/6=9, Resulting Numbers: [92, 87, 9] Generated Node #2: [92, 87, 9] from Operation: 54/6=9 Current State: 14:[92, 87, 9], Operations: ['54/6=9'] Exploring Operation: 92-87=5, Resulting Numbers: [9, 5] Generated Node #3: [9, 5] from Operation: 92-87=5 Current State: 14:[9, 5], Operations: ['54/6=9', '92-87=5'] Exploring Operation: 9+5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 74, 76, 71, 35 ]
38
[ "76-74=2", "71-35=36", "2+36=38" ]
Current State: 38:[74, 76, 71, 35], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [71, 35, 2] Generated Node #2: [71, 35, 2] from Operation: 76-74=2 Current State: 38:[71, 35, 2], Operations: ['76-74=2'] Exploring Operation: 71-35=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 71-35=36 Current State: 38:[2, 36], Operations: ['76-74=2', '71-35=36'] Exploring Operation: 2+36=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 15, 15, 20, 53 ]
33
[ "15-15=0", "53-20=33", "0+33=33" ]
Current State: 33:[15, 15, 20, 53], Operations: [] Exploring Operation: 15-15=0, Resulting Numbers: [20, 53, 0] Generated Node #2: [20, 53, 0] from Operation: 15-15=0 Current State: 33:[20, 53, 0], Operations: ['15-15=0'] Exploring Operation: 53-20=33, Resulting Numbers: [0, 33] Generated Node #3: [0, 33] from Operation: 53-20=33 Current State: 33:[0, 33], Operations: ['15-15=0', '53-20=33'] Exploring Operation: 0+33=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 34, 50, 70, 52 ]
67
[ "50+52=102", "102/34=3", "70-3=67" ]
Current State: 67:[34, 50, 70, 52], Operations: [] Exploring Operation: 50+52=102, Resulting Numbers: [34, 70, 102] Generated Node #2: [34, 70, 102] from Operation: 50+52=102 Current State: 67:[34, 70, 102], Operations: ['50+52=102'] Exploring Operation: 102/34=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 102/34=3 Current State: 67:[70, 3], Operations: ['50+52=102', '102/34=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 38, 8, 49, 10 ]
89
[ "38-8=30", "49+10=59", "30+59=89" ]
Current State: 89:[38, 8, 49, 10], Operations: [] Exploring Operation: 38-8=30, Resulting Numbers: [49, 10, 30] Generated Node #2: [49, 10, 30] from Operation: 38-8=30 Current State: 89:[49, 10, 30], Operations: ['38-8=30'] Exploring Operation: 49+10=59, Resulting Numbers: [30, 59] Generated Node #3: [30, 59] from Operation: 49+10=59 Current State: 89:[30, 59], Operations: ['38-8=30', '49+10=59'] Exploring Operation: 30+59=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 30, 40, 6, 97 ]
37
[ "40-30=10", "6*10=60", "97-60=37" ]
Current State: 37:[30, 40, 6, 97], Operations: [] Exploring Operation: 40-30=10, Resulting Numbers: [6, 97, 10] Generated Node #2: [6, 97, 10] from Operation: 40-30=10 Current State: 37:[6, 97, 10], Operations: ['40-30=10'] Exploring Operation: 6*10=60, Resulting Numbers: [97, 60] Generated Node #3: [97, 60] from Operation: 6*10=60 Current State: 37:[97, 60], Operations: ['40-30=10', '6*10=60'] Exploring Operation: 97-60=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 8, 62, 16, 46 ]
18
[ "16/8=2", "62-46=16", "2+16=18" ]
Current State: 18:[8, 62, 16, 46], Operations: [] Exploring Operation: 16/8=2, Resulting Numbers: [62, 46, 2] Generated Node #2: [62, 46, 2] from Operation: 16/8=2 Current State: 18:[62, 46, 2], Operations: ['16/8=2'] Exploring Operation: 62-46=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 62-46=16 Current State: 18:[2, 16], Operations: ['16/8=2', '62-46=16'] Exploring Operation: 2+16=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 65, 13, 49, 29 ]
58
[ "65+13=78", "49-29=20", "78-20=58" ]
Current State: 58:[65, 13, 49, 29], Operations: [] Exploring Operation: 65+13=78, Resulting Numbers: [49, 29, 78] Generated Node #2: [49, 29, 78] from Operation: 65+13=78 Current State: 58:[49, 29, 78], Operations: ['65+13=78'] Exploring Operation: 49-29=20, Resulting Numbers: [78, 20] Generated Node #3: [78, 20] from Operation: 49-29=20 Current State: 58:[78, 20], Operations: ['65+13=78', '49-29=20'] Exploring Operation: 78-20=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 27, 81, 17, 48 ]
81
[ "27*48=1296", "81*17=1377", "1377-1296=81" ]
Current State: 81:[27, 81, 17, 48], Operations: [] Exploring Operation: 27*48=1296, Resulting Numbers: [81, 17, 1296] Generated Node #2: [81, 17, 1296] from Operation: 27*48=1296 Current State: 81:[81, 17, 1296], Operations: ['27*48=1296'] Exploring Operation: 81*17=1377, Resulting Numbers: [1296, 1377] Generated Node #3: [1296, 1377] from Operation: 81*17=1377 Current State: 81:[1296, 1377], Operations: ['27*48=1296', '81*17=1377'] Exploring Operation: 1377-1296=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 40, 15, 26, 93 ]
92
[ "40-15=25", "93-26=67", "25+67=92" ]
Current State: 92:[40, 15, 26, 93], Operations: [] Exploring Operation: 40-15=25, Resulting Numbers: [26, 93, 25] Generated Node #2: [26, 93, 25] from Operation: 40-15=25 Current State: 92:[26, 93, 25], Operations: ['40-15=25'] Exploring Operation: 93-26=67, Resulting Numbers: [25, 67] Generated Node #3: [25, 67] from Operation: 93-26=67 Current State: 92:[25, 67], Operations: ['40-15=25', '93-26=67'] Exploring Operation: 25+67=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 24, 81, 74, 84 ]
84
[ "81-74=7", "24*7=168", "168-84=84" ]
Current State: 84:[24, 81, 74, 84], Operations: [] Exploring Operation: 81-74=7, Resulting Numbers: [24, 84, 7] Generated Node #2: [24, 84, 7] from Operation: 81-74=7 Current State: 84:[24, 84, 7], Operations: ['81-74=7'] Exploring Operation: 24*7=168, Resulting Numbers: [84, 168] Generated Node #3: [84, 168] from Operation: 24*7=168 Current State: 84:[84, 168], Operations: ['81-74=7', '24*7=168'] Exploring Operation: 168-84=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 30, 46, 60, 34 ]
29
[ "60/30=2", "34/2=17", "46-17=29" ]
Current State: 29:[30, 46, 60, 34], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [46, 34, 2] Generated Node #2: [46, 34, 2] from Operation: 60/30=2 Current State: 29:[46, 34, 2], Operations: ['60/30=2'] Exploring Operation: 34/2=17, Resulting Numbers: [46, 17] Generated Node #3: [46, 17] from Operation: 34/2=17 Current State: 29:[46, 17], Operations: ['60/30=2', '34/2=17'] Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 35, 36, 33, 15 ]
70
[ "35*36=1260", "33-15=18", "1260/18=70" ]
Current State: 70:[35, 36, 33, 15], Operations: [] Exploring Operation: 35*36=1260, Resulting Numbers: [33, 15, 1260] Generated Node #2: [33, 15, 1260] from Operation: 35*36=1260 Current State: 70:[33, 15, 1260], Operations: ['35*36=1260'] Exploring Operation: 33-15=18, Resulting Numbers: [1260, 18] Generated Node #3: [1260, 18] from Operation: 33-15=18 Current State: 70:[1260, 18], Operations: ['35*36=1260', '33-15=18'] Exploring Operation: 1260/18=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 8, 71, 4, 1 ]
69
[ "8/4=2", "71*1=71", "71-2=69" ]
Current State: 69:[8, 71, 4, 1], Operations: [] Exploring Operation: 8/4=2, Resulting Numbers: [71, 1, 2] Generated Node #2: [71, 1, 2] from Operation: 8/4=2 Current State: 69:[71, 1, 2], Operations: ['8/4=2'] Exploring Operation: 71*1=71, Resulting Numbers: [2, 71] Generated Node #3: [2, 71] from Operation: 71*1=71 Current State: 69:[2, 71], Operations: ['8/4=2', '71*1=71'] Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 18, 26, 65, 8 ]
52
[ "18*26=468", "65*8=520", "520-468=52" ]
Current State: 52:[18, 26, 65, 8], Operations: [] Exploring Operation: 18*26=468, Resulting Numbers: [65, 8, 468] Generated Node #2: [65, 8, 468] from Operation: 18*26=468 Current State: 52:[65, 8, 468], Operations: ['18*26=468'] Exploring Operation: 65*8=520, Resulting Numbers: [468, 520] Generated Node #3: [468, 520] from Operation: 65*8=520 Current State: 52:[468, 520], Operations: ['18*26=468', '65*8=520'] Exploring Operation: 520-468=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 16, 8, 20, 1 ]
20
[ "16/8=2", "2-1=1", "20*1=20" ]
Current State: 20:[16, 8, 20, 1], Operations: [] Exploring Operation: 16/8=2, Resulting Numbers: [20, 1, 2] Generated Node #2: [20, 1, 2] from Operation: 16/8=2 Current State: 20:[20, 1, 2], Operations: ['16/8=2'] Exploring Operation: 2-1=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 2-1=1 Current State: 20:[20, 1], Operations: ['16/8=2', '2-1=1'] Exploring Operation: 20*1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 72, 42, 75, 59 ]
67
[ "75-72=3", "42*3=126", "126-59=67" ]
Current State: 67:[72, 42, 75, 59], Operations: [] Exploring Operation: 75-72=3, Resulting Numbers: [42, 59, 3] Generated Node #2: [42, 59, 3] from Operation: 75-72=3 Current State: 67:[42, 59, 3], Operations: ['75-72=3'] Exploring Operation: 42*3=126, Resulting Numbers: [59, 126] Generated Node #3: [59, 126] from Operation: 42*3=126 Current State: 67:[59, 126], Operations: ['75-72=3', '42*3=126'] Exploring Operation: 126-59=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 41, 21, 2, 82 ]
64
[ "41-21=20", "2+82=84", "84-20=64" ]
Current State: 64:[41, 21, 2, 82], Operations: [] Exploring Operation: 41-21=20, Resulting Numbers: [2, 82, 20] Generated Node #2: [2, 82, 20] from Operation: 41-21=20 Current State: 64:[2, 82, 20], Operations: ['41-21=20'] Exploring Operation: 2+82=84, Resulting Numbers: [20, 84] Generated Node #3: [20, 84] from Operation: 2+82=84 Current State: 64:[20, 84], Operations: ['41-21=20', '2+82=84'] Exploring Operation: 84-20=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 91, 78, 36, 90 ]
67
[ "91-78=13", "90-36=54", "13+54=67" ]
Current State: 67:[91, 78, 36, 90], Operations: [] Exploring Operation: 91-78=13, Resulting Numbers: [36, 90, 13] Generated Node #2: [36, 90, 13] from Operation: 91-78=13 Current State: 67:[36, 90, 13], Operations: ['91-78=13'] Exploring Operation: 90-36=54, Resulting Numbers: [13, 54] Generated Node #3: [13, 54] from Operation: 90-36=54 Current State: 67:[13, 54], Operations: ['91-78=13', '90-36=54'] Exploring Operation: 13+54=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 36, 63, 34, 72 ]
58
[ "72/36=2", "63-34=29", "2*29=58" ]
Current State: 58:[36, 63, 34, 72], Operations: [] Exploring Operation: 72/36=2, Resulting Numbers: [63, 34, 2] Generated Node #2: [63, 34, 2] from Operation: 72/36=2 Current State: 58:[63, 34, 2], Operations: ['72/36=2'] Exploring Operation: 63-34=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 63-34=29 Current State: 58:[2, 29], Operations: ['72/36=2', '63-34=29'] Exploring Operation: 2*29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4