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
[ 10, 82, 10, 5 ]
31
[ "10/5=2", "82/2=41", "41-10=31" ]
Current State: 31:[10, 82, 10, 5], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [82, 2] Generated Node #2: [82, 2] from Operation: 10/5=2 Current State: 31:[82, 2], Operations: ['10/5=2'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,31 equal: Goal Reached Exploring Operation: 41-10=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 12, 5, 38, 21 ]
77
[ "12*5=60", "38-21=17", "60+17=77" ]
Current State: 77:[12, 5, 38, 21], Operations: [] Exploring Operation: 12*5=60, Resulting Numbers: [38, 21, 60] Generated Node #2: [38, 21, 60] from Operation: 12*5=60 Current State: 77:[38, 21, 60], Operations: ['12*5=60'] Exploring Operation: 38-21=17, Resulting Numbers: [60, 17] Generated Node #3: [60, 17] from Operation: 38-21=17 Current State: 77:[60, 17], Operations: ['12*5=60', '38-21=17'] Exploring Operation: 60+17=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 83, 68, 13, 5 ]
39
[ "83-68=15", "13*15=195", "195/5=39" ]
Current State: 39:[83, 68, 13, 5], Operations: [] Exploring Operation: 83-68=15, Resulting Numbers: [13, 5, 15] Generated Node #2: [13, 5, 15] from Operation: 83-68=15 Current State: 39:[13, 5, 15], Operations: ['83-68=15'] Exploring Operation: 13*15=195, Resulting Numbers: [5, 195] Generated Node #3: [5, 195] from Operation: 13*15=195 Current State: 39:[5, 195], Operations: ['83-68=15', '13*15=195'] Exploring Operation: 195/5=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 54, 42, 98, 84 ]
82
[ "54+42=96", "98-84=14", "96-14=82" ]
Current State: 82:[54, 42, 98, 84], Operations: [] Exploring Operation: 54+42=96, Resulting Numbers: [98, 84, 96] Generated Node #2: [98, 84, 96] from Operation: 54+42=96 Current State: 82:[98, 84, 96], Operations: ['54+42=96'] Exploring Operation: 98-84=14, Resulting Numbers: [96, 14] Generated Node #3: [96, 14] from Operation: 98-84=14 Current State: 82:[96, 14], Operations: ['54+42=96', '98-84=14'] Exploring Operation: 96-14=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 38, 63, 91, 14 ]
27
[ "63+91=154", "154/14=11", "38-11=27" ]
Current State: 27:[38, 63, 91, 14], Operations: [] Exploring Operation: 63+91=154, Resulting Numbers: [38, 14, 154] Generated Node #2: [38, 14, 154] from Operation: 63+91=154 Current State: 27:[38, 14, 154], Operations: ['63+91=154'] Exploring Operation: 154/14=11, Resulting Numbers: [38, 11] Generated Node #3: [38, 11] from Operation: 154/14=11 Current State: 27:[38, 11], Operations: ['63+91=154', '154/14=11'] Exploring Operation: 38-11=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 12, 76, 8, 38 ]
42
[ "12+76=88", "8+38=46", "88-46=42" ]
Current State: 42:[12, 76, 8, 38], Operations: [] Exploring Operation: 12+76=88, Resulting Numbers: [8, 38, 88] Generated Node #2: [8, 38, 88] from Operation: 12+76=88 Current State: 42:[8, 38, 88], Operations: ['12+76=88'] Exploring Operation: 8+38=46, Resulting Numbers: [88, 46] Generated Node #3: [88, 46] from Operation: 8+38=46 Current State: 42:[88, 46], Operations: ['12+76=88', '8+38=46'] Exploring Operation: 88-46=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 64, 96, 59, 45 ]
87
[ "64-59=5", "45/5=9", "96-9=87" ]
Current State: 87:[64, 96, 59, 45], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [96, 45, 5] Generated Node #2: [96, 45, 5] from Operation: 64-59=5 Current State: 87:[96, 45, 5], Operations: ['64-59=5'] Exploring Operation: 45/5=9, Resulting Numbers: [96, 9] Generated Node #3: [96, 9] from Operation: 45/5=9 Current State: 87:[96, 9], Operations: ['64-59=5', '45/5=9'] Exploring Operation: 96-9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 83, 34, 96, 7 ]
89
[ "83-34=49", "49/7=7", "96-7=89" ]
Current State: 89:[83, 34, 96, 7], Operations: [] Exploring Operation: 83-34=49, Resulting Numbers: [96, 7, 49] Generated Node #2: [96, 7, 49] from Operation: 83-34=49 Current State: 89:[96, 7, 49], Operations: ['83-34=49'] Exploring Operation: 49/7=7, Resulting Numbers: [96, 7] Generated Node #3: [96, 7] from Operation: 49/7=7 Current State: 89:[96, 7], Operations: ['83-34=49', '49/7=7'] Exploring Operation: 96-7=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 49, 77, 17, 82 ]
71
[ "77-49=28", "17+82=99", "99-28=71" ]
Current State: 71:[49, 77, 17, 82], Operations: [] Exploring Operation: 77-49=28, Resulting Numbers: [17, 82, 28] Generated Node #2: [17, 82, 28] from Operation: 77-49=28 Current State: 71:[17, 82, 28], Operations: ['77-49=28'] Exploring Operation: 17+82=99, Resulting Numbers: [28, 99] Generated Node #3: [28, 99] from Operation: 17+82=99 Current State: 71:[28, 99], Operations: ['77-49=28', '17+82=99'] Exploring Operation: 99-28=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 31, 60, 94, 86 ]
46
[ "31*86=2666", "94+2666=2760", "2760/60=46" ]
Current State: 46:[31, 60, 94, 86], Operations: [] Exploring Operation: 31*86=2666, Resulting Numbers: [60, 94, 2666] Generated Node #2: [60, 94, 2666] from Operation: 31*86=2666 Current State: 46:[60, 94, 2666], Operations: ['31*86=2666'] Exploring Operation: 94+2666=2760, Resulting Numbers: [60, 2760] Generated Node #3: [60, 2760] from Operation: 94+2666=2760 Current State: 46:[60, 2760], Operations: ['31*86=2666', '94+2666=2760'] Exploring Operation: 2760/60=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 67, 90, 45, 37 ]
75
[ "67+90=157", "45+37=82", "157-82=75" ]
Current State: 75:[67, 90, 45, 37], Operations: [] Exploring Operation: 67+90=157, Resulting Numbers: [45, 37, 157] Generated Node #2: [45, 37, 157] from Operation: 67+90=157 Current State: 75:[45, 37, 157], Operations: ['67+90=157'] Exploring Operation: 45+37=82, Resulting Numbers: [157, 82] Generated Node #3: [157, 82] from Operation: 45+37=82 Current State: 75:[157, 82], Operations: ['67+90=157', '45+37=82'] Exploring Operation: 157-82=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 65, 47, 71, 59 ]
45
[ "71+59=130", "130/65=2", "47-2=45" ]
Current State: 45:[65, 47, 71, 59], Operations: [] Exploring Operation: 71+59=130, Resulting Numbers: [65, 47, 130] Generated Node #2: [65, 47, 130] from Operation: 71+59=130 Current State: 45:[65, 47, 130], Operations: ['71+59=130'] Exploring Operation: 130/65=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 130/65=2 Current State: 45:[47, 2], Operations: ['71+59=130', '130/65=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 23, 91, 80, 98 ]
50
[ "91-23=68", "98-80=18", "68-18=50" ]
Current State: 50:[23, 91, 80, 98], Operations: [] Exploring Operation: 91-23=68, Resulting Numbers: [80, 98, 68] Generated Node #2: [80, 98, 68] from Operation: 91-23=68 Current State: 50:[80, 98, 68], Operations: ['91-23=68'] Exploring Operation: 98-80=18, Resulting Numbers: [68, 18] Generated Node #3: [68, 18] from Operation: 98-80=18 Current State: 50:[68, 18], Operations: ['91-23=68', '98-80=18'] Exploring Operation: 68-18=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 14, 88, 32, 70 ]
64
[ "14+88=102", "70-32=38", "102-38=64" ]
Current State: 64:[14, 88, 32, 70], Operations: [] Exploring Operation: 14+88=102, Resulting Numbers: [32, 70, 102] Generated Node #2: [32, 70, 102] from Operation: 14+88=102 Current State: 64:[32, 70, 102], Operations: ['14+88=102'] Exploring Operation: 70-32=38, Resulting Numbers: [102, 38] Generated Node #3: [102, 38] from Operation: 70-32=38 Current State: 64:[102, 38], Operations: ['14+88=102', '70-32=38'] Exploring Operation: 102-38=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 26, 28, 36, 46 ]
80
[ "28-26=2", "36+46=82", "82-2=80" ]
Current State: 80:[26, 28, 36, 46], Operations: [] Exploring Operation: 28-26=2, Resulting Numbers: [36, 46, 2] Generated Node #2: [36, 46, 2] from Operation: 28-26=2 Current State: 80:[36, 46, 2], Operations: ['28-26=2'] Exploring Operation: 36+46=82, Resulting Numbers: [2, 82] Generated Node #3: [2, 82] from Operation: 36+46=82 Current State: 80:[2, 82], Operations: ['28-26=2', '36+46=82'] Exploring Operation: 82-2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 37, 70, 15, 15 ]
63
[ "70-37=33", "15+15=30", "33+30=63" ]
Current State: 63:[37, 70, 15, 15], Operations: [] Exploring Operation: 70-37=33, Resulting Numbers: [15, 15, 33] Generated Node #2: [15, 15, 33] from Operation: 70-37=33 Current State: 63:[15, 15, 33], Operations: ['70-37=33'] Exploring Operation: 15+15=30, Resulting Numbers: [33, 30] Generated Node #3: [33, 30] from Operation: 15+15=30 Current State: 63:[33, 30], Operations: ['70-37=33', '15+15=30'] Exploring Operation: 33+30=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 12, 81, 41, 20 ]
94
[ "81*20=1620", "1620/12=135", "135-41=94" ]
Current State: 94:[12, 81, 41, 20], Operations: [] Exploring Operation: 81*20=1620, Resulting Numbers: [12, 41, 1620] Generated Node #2: [12, 41, 1620] from Operation: 81*20=1620 Current State: 94:[12, 41, 1620], Operations: ['81*20=1620'] Exploring Operation: 1620/12=135, Resulting Numbers: [41, 135] Generated Node #3: [41, 135] from Operation: 1620/12=135 Current State: 94:[41, 135], Operations: ['81*20=1620', '1620/12=135'] Exploring Operation: 135-41=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 8, 94, 5, 31 ]
11
[ "94-8=86", "86-31=55", "55/5=11" ]
Current State: 11:[8, 94, 5, 31], Operations: [] Exploring Operation: 94-8=86, Resulting Numbers: [5, 31, 86] Generated Node #2: [5, 31, 86] from Operation: 94-8=86 Current State: 11:[5, 31, 86], Operations: ['94-8=86'] Exploring Operation: 86-31=55, Resulting Numbers: [5, 55] Generated Node #3: [5, 55] from Operation: 86-31=55 Current State: 11:[5, 55], Operations: ['94-8=86', '86-31=55'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 44, 58, 5, 3 ]
71
[ "44-5=39", "39/3=13", "58+13=71" ]
Current State: 71:[44, 58, 5, 3], Operations: [] Exploring Operation: 44-5=39, Resulting Numbers: [58, 3, 39] Generated Node #2: [58, 3, 39] from Operation: 44-5=39 Current State: 71:[58, 3, 39], Operations: ['44-5=39'] Exploring Operation: 39/3=13, Resulting Numbers: [58, 13] Generated Node #3: [58, 13] from Operation: 39/3=13 Current State: 71:[58, 13], Operations: ['44-5=39', '39/3=13'] Exploring Operation: 58+13=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 76, 51, 38, 3 ]
86
[ "76+51=127", "38+3=41", "127-41=86" ]
Current State: 86:[76, 51, 38, 3], Operations: [] Exploring Operation: 76+51=127, Resulting Numbers: [38, 3, 127] Generated Node #2: [38, 3, 127] from Operation: 76+51=127 Current State: 86:[38, 3, 127], Operations: ['76+51=127'] Exploring Operation: 38+3=41, Resulting Numbers: [127, 41] Generated Node #3: [127, 41] from Operation: 38+3=41 Current State: 86:[127, 41], Operations: ['76+51=127', '38+3=41'] Exploring Operation: 127-41=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 45, 24, 8, 90 ]
28
[ "45*8=360", "360/90=4", "24+4=28" ]
Current State: 28:[45, 24, 8, 90], Operations: [] Exploring Operation: 45*8=360, Resulting Numbers: [24, 90, 360] Generated Node #2: [24, 90, 360] from Operation: 45*8=360 Current State: 28:[24, 90, 360], Operations: ['45*8=360'] Exploring Operation: 360/90=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 360/90=4 Current State: 28:[24, 4], Operations: ['45*8=360', '360/90=4'] Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 28, 24, 75, 33 ]
46
[ "28-24=4", "75-33=42", "4+42=46" ]
Current State: 46:[28, 24, 75, 33], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [75, 33, 4] Generated Node #2: [75, 33, 4] from Operation: 28-24=4 Current State: 46:[75, 33, 4], Operations: ['28-24=4'] Exploring Operation: 75-33=42, Resulting Numbers: [4, 42] Generated Node #3: [4, 42] from Operation: 75-33=42 Current State: 46:[4, 42], Operations: ['28-24=4', '75-33=42'] Exploring Operation: 4+42=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 53, 32, 12, 69 ]
14
[ "69-53=16", "32/16=2", "12+2=14" ]
Current State: 14:[53, 32, 12, 69], Operations: [] Exploring Operation: 69-53=16, Resulting Numbers: [32, 12, 16] Generated Node #2: [32, 12, 16] from Operation: 69-53=16 Current State: 14:[32, 12, 16], Operations: ['69-53=16'] Exploring Operation: 32/16=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 32/16=2 Current State: 14:[12, 2], Operations: ['69-53=16', '32/16=2'] Exploring Operation: 12+2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 80, 4, 56, 82 ]
26
[ "82-80=2", "56-4=52", "52/2=26" ]
Current State: 26:[80, 4, 56, 82], Operations: [] Exploring Operation: 82-80=2, Resulting Numbers: [4, 56, 2] Generated Node #2: [4, 56, 2] from Operation: 82-80=2 Current State: 26:[4, 56, 2], Operations: ['82-80=2'] Exploring Operation: 56-4=52, Resulting Numbers: [2, 52] Generated Node #3: [2, 52] from Operation: 56-4=52 Current State: 26:[2, 52], Operations: ['82-80=2', '56-4=52'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 91, 76, 34, 47 ]
83
[ "47-34=13", "91/13=7", "76+7=83" ]
Current State: 83:[91, 76, 34, 47], Operations: [] Exploring Operation: 47-34=13, Resulting Numbers: [91, 76, 13] Generated Node #2: [91, 76, 13] from Operation: 47-34=13 Current State: 83:[91, 76, 13], Operations: ['47-34=13'] Exploring Operation: 91/13=7, Resulting Numbers: [76, 7] Generated Node #3: [76, 7] from Operation: 91/13=7 Current State: 83:[76, 7], Operations: ['47-34=13', '91/13=7'] Exploring Operation: 76+7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 69, 46, 8, 18 ]
72
[ "46+8=54", "54/18=3", "69+3=72" ]
Current State: 72:[69, 46, 8, 18], Operations: [] Exploring Operation: 46+8=54, Resulting Numbers: [69, 18, 54] Generated Node #2: [69, 18, 54] from Operation: 46+8=54 Current State: 72:[69, 18, 54], Operations: ['46+8=54'] Exploring Operation: 54/18=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 54/18=3 Current State: 72:[69, 3], Operations: ['46+8=54', '54/18=3'] Exploring Operation: 69+3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 29, 3, 31, 54 ]
81
[ "31-29=2", "3*54=162", "162/2=81" ]
Current State: 81:[29, 3, 31, 54], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [3, 54, 2] Generated Node #2: [3, 54, 2] from Operation: 31-29=2 Current State: 81:[3, 54, 2], Operations: ['31-29=2'] Exploring Operation: 3*54=162, Resulting Numbers: [2, 162] Generated Node #3: [2, 162] from Operation: 3*54=162 Current State: 81:[2, 162], Operations: ['31-29=2', '3*54=162'] Exploring Operation: 162/2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 2, 99, 96, 23 ]
22
[ "99-2=97", "96+23=119", "119-97=22" ]
Current State: 22:[2, 99, 96, 23], Operations: [] Exploring Operation: 99-2=97, Resulting Numbers: [96, 23, 97] Generated Node #2: [96, 23, 97] from Operation: 99-2=97 Current State: 22:[96, 23, 97], Operations: ['99-2=97'] Exploring Operation: 96+23=119, Resulting Numbers: [97, 119] Generated Node #3: [97, 119] from Operation: 96+23=119 Current State: 22:[97, 119], Operations: ['99-2=97', '96+23=119'] Exploring Operation: 119-97=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 43, 48, 27, 55 ]
63
[ "43+48=91", "55-27=28", "91-28=63" ]
Current State: 63:[43, 48, 27, 55], Operations: [] Exploring Operation: 43+48=91, Resulting Numbers: [27, 55, 91] Generated Node #2: [27, 55, 91] from Operation: 43+48=91 Current State: 63:[27, 55, 91], Operations: ['43+48=91'] Exploring Operation: 55-27=28, Resulting Numbers: [91, 28] Generated Node #3: [91, 28] from Operation: 55-27=28 Current State: 63:[91, 28], Operations: ['43+48=91', '55-27=28'] Exploring Operation: 91-28=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 26, 34, 39, 48 ]
38
[ "39*48=1872", "1872/26=72", "72-34=38" ]
Current State: 38:[26, 34, 39, 48], Operations: [] Exploring Operation: 39*48=1872, Resulting Numbers: [26, 34, 1872] Generated Node #2: [26, 34, 1872] from Operation: 39*48=1872 Current State: 38:[26, 34, 1872], Operations: ['39*48=1872'] Exploring Operation: 1872/26=72, Resulting Numbers: [34, 72] Generated Node #3: [34, 72] from Operation: 1872/26=72 Current State: 38:[34, 72], Operations: ['39*48=1872', '1872/26=72'] Exploring Operation: 72-34=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 18, 58, 28, 90 ]
81
[ "90/18=5", "58+28=86", "86-5=81" ]
Current State: 81:[18, 58, 28, 90], Operations: [] Exploring Operation: 90/18=5, Resulting Numbers: [58, 28, 5] Generated Node #2: [58, 28, 5] from Operation: 90/18=5 Current State: 81:[58, 28, 5], Operations: ['90/18=5'] Exploring Operation: 58+28=86, Resulting Numbers: [5, 86] Generated Node #3: [5, 86] from Operation: 58+28=86 Current State: 81:[5, 86], Operations: ['90/18=5', '58+28=86'] Exploring Operation: 86-5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 42, 40, 79, 83 ]
75
[ "42-40=2", "79*2=158", "158-83=75" ]
Current State: 75:[42, 40, 79, 83], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [79, 83, 2] Generated Node #2: [79, 83, 2] from Operation: 42-40=2 Current State: 75:[79, 83, 2], Operations: ['42-40=2'] Exploring Operation: 79*2=158, Resulting Numbers: [83, 158] Generated Node #3: [83, 158] from Operation: 79*2=158 Current State: 75:[83, 158], Operations: ['42-40=2', '79*2=158'] Exploring Operation: 158-83=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 37, 78, 3, 28 ]
39
[ "78-37=41", "41-28=13", "3*13=39" ]
Current State: 39:[37, 78, 3, 28], Operations: [] Exploring Operation: 78-37=41, Resulting Numbers: [3, 28, 41] Generated Node #2: [3, 28, 41] from Operation: 78-37=41 Current State: 39:[3, 28, 41], Operations: ['78-37=41'] Exploring Operation: 41-28=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 41-28=13 Current State: 39:[3, 13], Operations: ['78-37=41', '41-28=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 80, 53, 20, 24 ]
81
[ "80/20=4", "53+24=77", "4+77=81" ]
Current State: 81:[80, 53, 20, 24], Operations: [] Exploring Operation: 80/20=4, Resulting Numbers: [53, 24, 4] Generated Node #2: [53, 24, 4] from Operation: 80/20=4 Current State: 81:[53, 24, 4], Operations: ['80/20=4'] Exploring Operation: 53+24=77, Resulting Numbers: [4, 77] Generated Node #3: [4, 77] from Operation: 53+24=77 Current State: 81:[4, 77], Operations: ['80/20=4', '53+24=77'] Exploring Operation: 4+77=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 6, 87, 29, 26 ]
52
[ "6*29=174", "174/87=2", "26*2=52" ]
Current State: 52:[6, 87, 29, 26], Operations: [] Exploring Operation: 6*29=174, Resulting Numbers: [87, 26, 174] Generated Node #2: [87, 26, 174] from Operation: 6*29=174 Current State: 52:[87, 26, 174], Operations: ['6*29=174'] Exploring Operation: 174/87=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 174/87=2 Current State: 52:[26, 2], Operations: ['6*29=174', '174/87=2'] Exploring Operation: 26*2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 31, 57, 97, 45 ]
36
[ "31+57=88", "97-45=52", "88-52=36" ]
Current State: 36:[31, 57, 97, 45], Operations: [] Exploring Operation: 31+57=88, Resulting Numbers: [97, 45, 88] Generated Node #2: [97, 45, 88] from Operation: 31+57=88 Current State: 36:[97, 45, 88], Operations: ['31+57=88'] Exploring Operation: 97-45=52, Resulting Numbers: [88, 52] Generated Node #3: [88, 52] from Operation: 97-45=52 Current State: 36:[88, 52], Operations: ['31+57=88', '97-45=52'] Exploring Operation: 88-52=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 6, 52, 83, 1 ]
25
[ "6+52=58", "83*1=83", "83-58=25" ]
Current State: 25:[6, 52, 83, 1], Operations: [] Exploring Operation: 6+52=58, Resulting Numbers: [83, 1, 58] Generated Node #2: [83, 1, 58] from Operation: 6+52=58 Current State: 25:[83, 1, 58], Operations: ['6+52=58'] Exploring Operation: 83*1=83, Resulting Numbers: [58, 83] Generated Node #3: [58, 83] from Operation: 83*1=83 Current State: 25:[58, 83], Operations: ['6+52=58', '83*1=83'] Exploring Operation: 83-58=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 34, 96, 80, 72 ]
46
[ "80-72=8", "96/8=12", "34+12=46" ]
Current State: 46:[34, 96, 80, 72], Operations: [] Exploring Operation: 80-72=8, Resulting Numbers: [34, 96, 8] Generated Node #2: [34, 96, 8] from Operation: 80-72=8 Current State: 46:[34, 96, 8], Operations: ['80-72=8'] Exploring Operation: 96/8=12, Resulting Numbers: [34, 12] Generated Node #3: [34, 12] from Operation: 96/8=12 Current State: 46:[34, 12], Operations: ['80-72=8', '96/8=12'] Exploring Operation: 34+12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 58, 63, 47, 60 ]
65
[ "63-58=5", "60-47=13", "5*13=65" ]
Current State: 65:[58, 63, 47, 60], Operations: [] Exploring Operation: 63-58=5, Resulting Numbers: [47, 60, 5] Generated Node #2: [47, 60, 5] from Operation: 63-58=5 Current State: 65:[47, 60, 5], Operations: ['63-58=5'] Exploring Operation: 60-47=13, Resulting Numbers: [5, 13] Generated Node #3: [5, 13] from Operation: 60-47=13 Current State: 65:[5, 13], Operations: ['63-58=5', '60-47=13'] Exploring Operation: 5*13=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 62, 90, 17, 49 ]
94
[ "90-62=28", "17+49=66", "28+66=94" ]
Current State: 94:[62, 90, 17, 49], Operations: [] Exploring Operation: 90-62=28, Resulting Numbers: [17, 49, 28] Generated Node #2: [17, 49, 28] from Operation: 90-62=28 Current State: 94:[17, 49, 28], Operations: ['90-62=28'] Exploring Operation: 17+49=66, Resulting Numbers: [28, 66] Generated Node #3: [28, 66] from Operation: 17+49=66 Current State: 94:[28, 66], Operations: ['90-62=28', '17+49=66'] Exploring Operation: 28+66=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 33, 69, 69, 69 ]
32
[ "33*69=2277", "2277-69=2208", "2208/69=32" ]
Current State: 32:[33, 69, 69, 69], Operations: [] Exploring Operation: 33*69=2277, Resulting Numbers: [2277] 2277,32 equal: Goal Reached Exploring Operation: 2277-69=2208, Resulting Numbers: [2208] 2208,32 equal: Goal Reached Exploring Operation: 2208/69=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 25, 30, 42, 45 ]
15
[ "30-25=5", "45-42=3", "5*3=15" ]
Current State: 15:[25, 30, 42, 45], Operations: [] Exploring Operation: 30-25=5, Resulting Numbers: [42, 45, 5] Generated Node #2: [42, 45, 5] from Operation: 30-25=5 Current State: 15:[42, 45, 5], Operations: ['30-25=5'] Exploring Operation: 45-42=3, Resulting Numbers: [5, 3] Generated Node #3: [5, 3] from Operation: 45-42=3 Current State: 15:[5, 3], Operations: ['30-25=5', '45-42=3'] Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 74, 14, 43, 82 ]
99
[ "74-14=60", "82-43=39", "60+39=99" ]
Current State: 99:[74, 14, 43, 82], Operations: [] Exploring Operation: 74-14=60, Resulting Numbers: [43, 82, 60] Generated Node #2: [43, 82, 60] from Operation: 74-14=60 Current State: 99:[43, 82, 60], Operations: ['74-14=60'] Exploring Operation: 82-43=39, Resulting Numbers: [60, 39] Generated Node #3: [60, 39] from Operation: 82-43=39 Current State: 99:[60, 39], Operations: ['74-14=60', '82-43=39'] Exploring Operation: 60+39=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 67, 5, 60, 2 ]
29
[ "67-5=62", "62/2=31", "60-31=29" ]
Current State: 29:[67, 5, 60, 2], Operations: [] Exploring Operation: 67-5=62, Resulting Numbers: [60, 2, 62] Generated Node #2: [60, 2, 62] from Operation: 67-5=62 Current State: 29:[60, 2, 62], Operations: ['67-5=62'] Exploring Operation: 62/2=31, Resulting Numbers: [60, 31] Generated Node #3: [60, 31] from Operation: 62/2=31 Current State: 29:[60, 31], Operations: ['67-5=62', '62/2=31'] Exploring Operation: 60-31=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 6, 57, 6, 60 ]
67
[ "6*57=342", "60+342=402", "402/6=67" ]
Current State: 67:[6, 57, 6, 60], Operations: [] Exploring Operation: 6*57=342, Resulting Numbers: [60, 342] Generated Node #2: [60, 342] from Operation: 6*57=342 Current State: 67:[60, 342], Operations: ['6*57=342'] Exploring Operation: 60+342=402, Resulting Numbers: [402] 402,67 equal: Goal Reached Exploring Operation: 402/6=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 49, 10, 82, 15 ]
58
[ "49-10=39", "82+15=97", "97-39=58" ]
Current State: 58:[49, 10, 82, 15], Operations: [] Exploring Operation: 49-10=39, Resulting Numbers: [82, 15, 39] Generated Node #2: [82, 15, 39] from Operation: 49-10=39 Current State: 58:[82, 15, 39], Operations: ['49-10=39'] Exploring Operation: 82+15=97, Resulting Numbers: [39, 97] Generated Node #3: [39, 97] from Operation: 82+15=97 Current State: 58:[39, 97], Operations: ['49-10=39', '82+15=97'] Exploring Operation: 97-39=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 48, 96, 95, 54 ]
68
[ "96/48=2", "54/2=27", "95-27=68" ]
Current State: 68:[48, 96, 95, 54], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [95, 54, 2] Generated Node #2: [95, 54, 2] from Operation: 96/48=2 Current State: 68:[95, 54, 2], Operations: ['96/48=2'] Exploring Operation: 54/2=27, Resulting Numbers: [95, 27] Generated Node #3: [95, 27] from Operation: 54/2=27 Current State: 68:[95, 27], Operations: ['96/48=2', '54/2=27'] Exploring Operation: 95-27=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 94, 14, 92, 23 ]
20
[ "94-14=80", "92/23=4", "80/4=20" ]
Current State: 20:[94, 14, 92, 23], Operations: [] Exploring Operation: 94-14=80, Resulting Numbers: [92, 23, 80] Generated Node #2: [92, 23, 80] from Operation: 94-14=80 Current State: 20:[92, 23, 80], Operations: ['94-14=80'] Exploring Operation: 92/23=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 92/23=4 Current State: 20:[80, 4], Operations: ['94-14=80', '92/23=4'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 85, 78, 95, 18 ]
68
[ "85+95=180", "180/18=10", "78-10=68" ]
Current State: 68:[85, 78, 95, 18], Operations: [] Exploring Operation: 85+95=180, Resulting Numbers: [78, 18, 180] Generated Node #2: [78, 18, 180] from Operation: 85+95=180 Current State: 68:[78, 18, 180], Operations: ['85+95=180'] Exploring Operation: 180/18=10, Resulting Numbers: [78, 10] Generated Node #3: [78, 10] from Operation: 180/18=10 Current State: 68:[78, 10], Operations: ['85+95=180', '180/18=10'] Exploring Operation: 78-10=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 96, 12, 91, 12 ]
96
[ "12-12=0", "91*0=0", "96+0=96" ]
Current State: 96:[96, 12, 91, 12], Operations: [] Exploring Operation: 12-12=0, Resulting Numbers: [96, 91, 0] Generated Node #2: [96, 91, 0] from Operation: 12-12=0 Current State: 96:[96, 91, 0], Operations: ['12-12=0'] Exploring Operation: 91*0=0, Resulting Numbers: [96, 0] Generated Node #3: [96, 0] from Operation: 91*0=0 Current State: 96:[96, 0], Operations: ['12-12=0', '91*0=0'] Exploring Operation: 96+0=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 84, 14, 24, 98 ]
18
[ "84*24=2016", "14+98=112", "2016/112=18" ]
Current State: 18:[84, 14, 24, 98], Operations: [] Exploring Operation: 84*24=2016, Resulting Numbers: [14, 98, 2016] Generated Node #2: [14, 98, 2016] from Operation: 84*24=2016 Current State: 18:[14, 98, 2016], Operations: ['84*24=2016'] Exploring Operation: 14+98=112, Resulting Numbers: [2016, 112] Generated Node #3: [2016, 112] from Operation: 14+98=112 Current State: 18:[2016, 112], Operations: ['84*24=2016', '14+98=112'] Exploring Operation: 2016/112=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 57, 5, 54, 9 ]
97
[ "57-5=52", "54-9=45", "52+45=97" ]
Current State: 97:[57, 5, 54, 9], Operations: [] Exploring Operation: 57-5=52, Resulting Numbers: [54, 9, 52] Generated Node #2: [54, 9, 52] from Operation: 57-5=52 Current State: 97:[54, 9, 52], Operations: ['57-5=52'] Exploring Operation: 54-9=45, Resulting Numbers: [52, 45] Generated Node #3: [52, 45] from Operation: 54-9=45 Current State: 97:[52, 45], Operations: ['57-5=52', '54-9=45'] Exploring Operation: 52+45=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 12, 14, 48, 18 ]
86
[ "48/12=4", "18*4=72", "14+72=86" ]
Current State: 86:[12, 14, 48, 18], Operations: [] Exploring Operation: 48/12=4, Resulting Numbers: [14, 18, 4] Generated Node #2: [14, 18, 4] from Operation: 48/12=4 Current State: 86:[14, 18, 4], Operations: ['48/12=4'] Exploring Operation: 18*4=72, Resulting Numbers: [14, 72] Generated Node #3: [14, 72] from Operation: 18*4=72 Current State: 86:[14, 72], Operations: ['48/12=4', '18*4=72'] Exploring Operation: 14+72=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 96, 12, 40, 56 ]
88
[ "96/12=8", "40+56=96", "96-8=88" ]
Current State: 88:[96, 12, 40, 56], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [40, 56, 8] Generated Node #2: [40, 56, 8] from Operation: 96/12=8 Current State: 88:[40, 56, 8], Operations: ['96/12=8'] Exploring Operation: 40+56=96, Resulting Numbers: [8, 96] Generated Node #3: [8, 96] from Operation: 40+56=96 Current State: 88:[8, 96], Operations: ['96/12=8', '40+56=96'] Exploring Operation: 96-8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 30, 78, 47, 45 ]
93
[ "47-45=2", "30/2=15", "78+15=93" ]
Current State: 93:[30, 78, 47, 45], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [30, 78, 2] Generated Node #2: [30, 78, 2] from Operation: 47-45=2 Current State: 93:[30, 78, 2], Operations: ['47-45=2'] Exploring Operation: 30/2=15, Resulting Numbers: [78, 15] Generated Node #3: [78, 15] from Operation: 30/2=15 Current State: 93:[78, 15], Operations: ['47-45=2', '30/2=15'] Exploring Operation: 78+15=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 15, 27, 31, 18 ]
40
[ "18-15=3", "27/3=9", "31+9=40" ]
Current State: 40:[15, 27, 31, 18], Operations: [] Exploring Operation: 18-15=3, Resulting Numbers: [27, 31, 3] Generated Node #2: [27, 31, 3] from Operation: 18-15=3 Current State: 40:[27, 31, 3], Operations: ['18-15=3'] Exploring Operation: 27/3=9, Resulting Numbers: [31, 9] Generated Node #3: [31, 9] from Operation: 27/3=9 Current State: 40:[31, 9], Operations: ['18-15=3', '27/3=9'] Exploring Operation: 31+9=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 24, 73, 38, 22 ]
54
[ "24-22=2", "38/2=19", "73-19=54" ]
Current State: 54:[24, 73, 38, 22], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [73, 38, 2] Generated Node #2: [73, 38, 2] from Operation: 24-22=2 Current State: 54:[73, 38, 2], Operations: ['24-22=2'] Exploring Operation: 38/2=19, Resulting Numbers: [73, 19] Generated Node #3: [73, 19] from Operation: 38/2=19 Current State: 54:[73, 19], Operations: ['24-22=2', '38/2=19'] Exploring Operation: 73-19=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 43, 78, 98, 49 ]
72
[ "43+78=121", "98-49=49", "121-49=72" ]
Current State: 72:[43, 78, 98, 49], Operations: [] Exploring Operation: 43+78=121, Resulting Numbers: [98, 49, 121] Generated Node #2: [98, 49, 121] from Operation: 43+78=121 Current State: 72:[98, 49, 121], Operations: ['43+78=121'] Exploring Operation: 98-49=49, Resulting Numbers: [121, 49] Generated Node #3: [121, 49] from Operation: 98-49=49 Current State: 72:[121, 49], Operations: ['43+78=121', '98-49=49'] Exploring Operation: 121-49=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 80, 65, 29, 52 ]
66
[ "80-65=15", "29+52=81", "81-15=66" ]
Current State: 66:[80, 65, 29, 52], Operations: [] Exploring Operation: 80-65=15, Resulting Numbers: [29, 52, 15] Generated Node #2: [29, 52, 15] from Operation: 80-65=15 Current State: 66:[29, 52, 15], Operations: ['80-65=15'] Exploring Operation: 29+52=81, Resulting Numbers: [15, 81] Generated Node #3: [15, 81] from Operation: 29+52=81 Current State: 66:[15, 81], Operations: ['80-65=15', '29+52=81'] Exploring Operation: 81-15=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 28, 85, 85, 57 ]
30
[ "57-28=29", "85/85=1", "29+1=30" ]
Current State: 30:[28, 85, 85, 57], Operations: [] Exploring Operation: 57-28=29, Resulting Numbers: [85, 85, 29] Generated Node #2: [85, 85, 29] from Operation: 57-28=29 Current State: 30:[85, 85, 29], Operations: ['57-28=29'] Exploring Operation: 85/85=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 85/85=1 Current State: 30:[29, 1], Operations: ['57-28=29', '85/85=1'] Exploring Operation: 29+1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 67, 6, 61, 99 ]
23
[ "67-6=61", "99-61=38", "61-38=23" ]
Current State: 23:[67, 6, 61, 99], Operations: [] Exploring Operation: 67-6=61, Resulting Numbers: [61, 99, 61] Generated Node #2: [61, 99, 61] from Operation: 67-6=61 Current State: 23:[61, 99, 61], Operations: ['67-6=61'] Exploring Operation: 99-61=38, Resulting Numbers: [38] 38,23 equal: Goal Reached Exploring Operation: 61-38=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 49, 9, 89, 18 ]
81
[ "49*18=882", "9*89=801", "882-801=81" ]
Current State: 81:[49, 9, 89, 18], Operations: [] Exploring Operation: 49*18=882, Resulting Numbers: [9, 89, 882] Generated Node #2: [9, 89, 882] from Operation: 49*18=882 Current State: 81:[9, 89, 882], Operations: ['49*18=882'] Exploring Operation: 9*89=801, Resulting Numbers: [882, 801] Generated Node #3: [882, 801] from Operation: 9*89=801 Current State: 81:[882, 801], Operations: ['49*18=882', '9*89=801'] Exploring Operation: 882-801=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 4, 97, 81, 33 ]
65
[ "97-33=64", "64/4=16", "81-16=65" ]
Current State: 65:[4, 97, 81, 33], Operations: [] Exploring Operation: 97-33=64, Resulting Numbers: [4, 81, 64] Generated Node #2: [4, 81, 64] from Operation: 97-33=64 Current State: 65:[4, 81, 64], Operations: ['97-33=64'] Exploring Operation: 64/4=16, Resulting Numbers: [81, 16] Generated Node #3: [81, 16] from Operation: 64/4=16 Current State: 65:[81, 16], Operations: ['97-33=64', '64/4=16'] Exploring Operation: 81-16=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 90, 75, 50, 18 ]
83
[ "90-75=15", "50+18=68", "15+68=83" ]
Current State: 83:[90, 75, 50, 18], Operations: [] Exploring Operation: 90-75=15, Resulting Numbers: [50, 18, 15] Generated Node #2: [50, 18, 15] from Operation: 90-75=15 Current State: 83:[50, 18, 15], Operations: ['90-75=15'] Exploring Operation: 50+18=68, Resulting Numbers: [15, 68] Generated Node #3: [15, 68] from Operation: 50+18=68 Current State: 83:[15, 68], Operations: ['90-75=15', '50+18=68'] Exploring Operation: 15+68=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 69, 10, 66, 56 ]
44
[ "56-10=46", "66*46=3036", "3036/69=44" ]
Current State: 44:[69, 10, 66, 56], Operations: [] Exploring Operation: 56-10=46, Resulting Numbers: [69, 66, 46] Generated Node #2: [69, 66, 46] from Operation: 56-10=46 Current State: 44:[69, 66, 46], Operations: ['56-10=46'] Exploring Operation: 66*46=3036, Resulting Numbers: [69, 3036] Generated Node #3: [69, 3036] from Operation: 66*46=3036 Current State: 44:[69, 3036], Operations: ['56-10=46', '66*46=3036'] Exploring Operation: 3036/69=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 26, 92, 6, 75 ]
86
[ "92-26=66", "66/6=11", "75+11=86" ]
Current State: 86:[26, 92, 6, 75], Operations: [] Exploring Operation: 92-26=66, Resulting Numbers: [6, 75, 66] Generated Node #2: [6, 75, 66] from Operation: 92-26=66 Current State: 86:[6, 75, 66], Operations: ['92-26=66'] Exploring Operation: 66/6=11, Resulting Numbers: [75, 11] Generated Node #3: [75, 11] from Operation: 66/6=11 Current State: 86:[75, 11], Operations: ['92-26=66', '66/6=11'] Exploring Operation: 75+11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 29, 15, 60, 12 ]
39
[ "29+15=44", "60/12=5", "44-5=39" ]
Current State: 39:[29, 15, 60, 12], Operations: [] Exploring Operation: 29+15=44, Resulting Numbers: [60, 12, 44] Generated Node #2: [60, 12, 44] from Operation: 29+15=44 Current State: 39:[60, 12, 44], Operations: ['29+15=44'] Exploring Operation: 60/12=5, Resulting Numbers: [44, 5] Generated Node #3: [44, 5] from Operation: 60/12=5 Current State: 39:[44, 5], Operations: ['29+15=44', '60/12=5'] Exploring Operation: 44-5=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 16, 16, 60, 41 ]
60
[ "16-16=0", "41*0=0", "60+0=60" ]
Current State: 60:[16, 16, 60, 41], Operations: [] Exploring Operation: 16-16=0, Resulting Numbers: [60, 41, 0] Generated Node #2: [60, 41, 0] from Operation: 16-16=0 Current State: 60:[60, 41, 0], Operations: ['16-16=0'] Exploring Operation: 41*0=0, Resulting Numbers: [60, 0] Generated Node #3: [60, 0] from Operation: 41*0=0 Current State: 60:[60, 0], Operations: ['16-16=0', '41*0=0'] Exploring Operation: 60+0=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 20, 22, 87, 45 ]
29
[ "20+22=42", "45-42=3", "87/3=29" ]
Current State: 29:[20, 22, 87, 45], Operations: [] Exploring Operation: 20+22=42, Resulting Numbers: [87, 45, 42] Generated Node #2: [87, 45, 42] from Operation: 20+22=42 Current State: 29:[87, 45, 42], Operations: ['20+22=42'] Exploring Operation: 45-42=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 45-42=3 Current State: 29:[87, 3], Operations: ['20+22=42', '45-42=3'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 73, 65, 33, 1 ]
24
[ "73-65=8", "33-1=32", "32-8=24" ]
Current State: 24:[73, 65, 33, 1], Operations: [] Exploring Operation: 73-65=8, Resulting Numbers: [33, 1, 8] Generated Node #2: [33, 1, 8] from Operation: 73-65=8 Current State: 24:[33, 1, 8], Operations: ['73-65=8'] Exploring Operation: 33-1=32, Resulting Numbers: [8, 32] Generated Node #3: [8, 32] from Operation: 33-1=32 Current State: 24:[8, 32], Operations: ['73-65=8', '33-1=32'] Exploring Operation: 32-8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 52, 34, 85, 24 ]
43
[ "52-34=18", "85-24=61", "61-18=43" ]
Current State: 43:[52, 34, 85, 24], Operations: [] Exploring Operation: 52-34=18, Resulting Numbers: [85, 24, 18] Generated Node #2: [85, 24, 18] from Operation: 52-34=18 Current State: 43:[85, 24, 18], Operations: ['52-34=18'] Exploring Operation: 85-24=61, Resulting Numbers: [18, 61] Generated Node #3: [18, 61] from Operation: 85-24=61 Current State: 43:[18, 61], Operations: ['52-34=18', '85-24=61'] Exploring Operation: 61-18=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 67, 11, 40, 96 ]
80
[ "67-11=56", "40+96=136", "136-56=80" ]
Current State: 80:[67, 11, 40, 96], Operations: [] Exploring Operation: 67-11=56, Resulting Numbers: [40, 96, 56] Generated Node #2: [40, 96, 56] from Operation: 67-11=56 Current State: 80:[40, 96, 56], Operations: ['67-11=56'] Exploring Operation: 40+96=136, Resulting Numbers: [56, 136] Generated Node #3: [56, 136] from Operation: 40+96=136 Current State: 80:[56, 136], Operations: ['67-11=56', '40+96=136'] Exploring Operation: 136-56=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 56, 62, 46, 25 ]
77
[ "62-56=6", "46+25=71", "6+71=77" ]
Current State: 77:[56, 62, 46, 25], Operations: [] Exploring Operation: 62-56=6, Resulting Numbers: [46, 25, 6] Generated Node #2: [46, 25, 6] from Operation: 62-56=6 Current State: 77:[46, 25, 6], Operations: ['62-56=6'] Exploring Operation: 46+25=71, Resulting Numbers: [6, 71] Generated Node #3: [6, 71] from Operation: 46+25=71 Current State: 77:[6, 71], Operations: ['62-56=6', '46+25=71'] Exploring Operation: 6+71=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 8, 6, 46, 35 ]
40
[ "46-6=40", "40/8=5", "35+5=40" ]
Current State: 40:[8, 6, 46, 35], Operations: [] Exploring Operation: 46-6=40, Resulting Numbers: [8, 35, 40] Generated Node #2: [8, 35, 40] from Operation: 46-6=40 Current State: 40:[8, 35, 40], Operations: ['46-6=40'] Exploring Operation: 40/8=5, Resulting Numbers: [35, 5] Generated Node #3: [35, 5] from Operation: 40/8=5 Current State: 40:[35, 5], Operations: ['46-6=40', '40/8=5'] Exploring Operation: 35+5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 70, 52, 54, 92 ]
24
[ "70+52=122", "54+92=146", "146-122=24" ]
Current State: 24:[70, 52, 54, 92], Operations: [] Exploring Operation: 70+52=122, Resulting Numbers: [54, 92, 122] Generated Node #2: [54, 92, 122] from Operation: 70+52=122 Current State: 24:[54, 92, 122], Operations: ['70+52=122'] Exploring Operation: 54+92=146, Resulting Numbers: [122, 146] Generated Node #3: [122, 146] from Operation: 54+92=146 Current State: 24:[122, 146], Operations: ['70+52=122', '54+92=146'] Exploring Operation: 146-122=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 79, 76, 27, 48 ]
57
[ "79-76=3", "27/3=9", "48+9=57" ]
Current State: 57:[79, 76, 27, 48], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [27, 48, 3] Generated Node #2: [27, 48, 3] from Operation: 79-76=3 Current State: 57:[27, 48, 3], Operations: ['79-76=3'] Exploring Operation: 27/3=9, Resulting Numbers: [48, 9] Generated Node #3: [48, 9] from Operation: 27/3=9 Current State: 57:[48, 9], Operations: ['79-76=3', '27/3=9'] Exploring Operation: 48+9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 66, 5, 61, 80 ]
17
[ "66-61=5", "5+80=85", "85/5=17" ]
Current State: 17:[66, 5, 61, 80], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [5, 80, 5] Generated Node #2: [5, 80, 5] from Operation: 66-61=5 Current State: 17:[5, 80, 5], Operations: ['66-61=5'] Exploring Operation: 5+80=85, Resulting Numbers: [85] 85,17 equal: Goal Reached Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 2, 60, 28, 62 ]
46
[ "60-28=32", "32/2=16", "62-16=46" ]
Current State: 46:[2, 60, 28, 62], Operations: [] Exploring Operation: 60-28=32, Resulting Numbers: [2, 62, 32] Generated Node #2: [2, 62, 32] from Operation: 60-28=32 Current State: 46:[2, 62, 32], Operations: ['60-28=32'] Exploring Operation: 32/2=16, Resulting Numbers: [62, 16] Generated Node #3: [62, 16] from Operation: 32/2=16 Current State: 46:[62, 16], Operations: ['60-28=32', '32/2=16'] Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 40, 18, 37, 57 ]
42
[ "40-18=22", "57-37=20", "22+20=42" ]
Current State: 42:[40, 18, 37, 57], Operations: [] Exploring Operation: 40-18=22, Resulting Numbers: [37, 57, 22] Generated Node #2: [37, 57, 22] from Operation: 40-18=22 Current State: 42:[37, 57, 22], Operations: ['40-18=22'] Exploring Operation: 57-37=20, Resulting Numbers: [22, 20] Generated Node #3: [22, 20] from Operation: 57-37=20 Current State: 42:[22, 20], Operations: ['40-18=22', '57-37=20'] Exploring Operation: 22+20=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 16, 69, 39, 32 ]
46
[ "69-16=53", "39-32=7", "53-7=46" ]
Current State: 46:[16, 69, 39, 32], Operations: [] Exploring Operation: 69-16=53, Resulting Numbers: [39, 32, 53] Generated Node #2: [39, 32, 53] from Operation: 69-16=53 Current State: 46:[39, 32, 53], Operations: ['69-16=53'] Exploring Operation: 39-32=7, Resulting Numbers: [53, 7] Generated Node #3: [53, 7] from Operation: 39-32=7 Current State: 46:[53, 7], Operations: ['69-16=53', '39-32=7'] Exploring Operation: 53-7=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 77, 26, 8, 24 ]
100
[ "77+26=103", "24/8=3", "103-3=100" ]
Current State: 100:[77, 26, 8, 24], Operations: [] Exploring Operation: 77+26=103, Resulting Numbers: [8, 24, 103] Generated Node #2: [8, 24, 103] from Operation: 77+26=103 Current State: 100:[8, 24, 103], Operations: ['77+26=103'] Exploring Operation: 24/8=3, Resulting Numbers: [103, 3] Generated Node #3: [103, 3] from Operation: 24/8=3 Current State: 100:[103, 3], Operations: ['77+26=103', '24/8=3'] Exploring Operation: 103-3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 46, 7, 80, 40 ]
80
[ "46-7=39", "40-39=1", "80*1=80" ]
Current State: 80:[46, 7, 80, 40], Operations: [] Exploring Operation: 46-7=39, Resulting Numbers: [80, 40, 39] Generated Node #2: [80, 40, 39] from Operation: 46-7=39 Current State: 80:[80, 40, 39], Operations: ['46-7=39'] Exploring Operation: 40-39=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 40-39=1 Current State: 80:[80, 1], Operations: ['46-7=39', '40-39=1'] Exploring Operation: 80*1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 9, 33, 70, 60 ]
32
[ "9+33=42", "70-60=10", "42-10=32" ]
Current State: 32:[9, 33, 70, 60], Operations: [] Exploring Operation: 9+33=42, Resulting Numbers: [70, 60, 42] Generated Node #2: [70, 60, 42] from Operation: 9+33=42 Current State: 32:[70, 60, 42], Operations: ['9+33=42'] Exploring Operation: 70-60=10, Resulting Numbers: [42, 10] Generated Node #3: [42, 10] from Operation: 70-60=10 Current State: 32:[42, 10], Operations: ['9+33=42', '70-60=10'] Exploring Operation: 42-10=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 31, 87, 94, 3 ]
34
[ "94-31=63", "87/3=29", "63-29=34" ]
Current State: 34:[31, 87, 94, 3], Operations: [] Exploring Operation: 94-31=63, Resulting Numbers: [87, 3, 63] Generated Node #2: [87, 3, 63] from Operation: 94-31=63 Current State: 34:[87, 3, 63], Operations: ['94-31=63'] Exploring Operation: 87/3=29, Resulting Numbers: [63, 29] Generated Node #3: [63, 29] from Operation: 87/3=29 Current State: 34:[63, 29], Operations: ['94-31=63', '87/3=29'] Exploring Operation: 63-29=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 45, 71, 75, 2 ]
47
[ "71-45=26", "75-2=73", "73-26=47" ]
Current State: 47:[45, 71, 75, 2], Operations: [] Exploring Operation: 71-45=26, Resulting Numbers: [75, 2, 26] Generated Node #2: [75, 2, 26] from Operation: 71-45=26 Current State: 47:[75, 2, 26], Operations: ['71-45=26'] Exploring Operation: 75-2=73, Resulting Numbers: [26, 73] Generated Node #3: [26, 73] from Operation: 75-2=73 Current State: 47:[26, 73], Operations: ['71-45=26', '75-2=73'] Exploring Operation: 73-26=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 2, 50, 39, 25 ]
86
[ "2*50=100", "39-25=14", "100-14=86" ]
Current State: 86:[2, 50, 39, 25], Operations: [] Exploring Operation: 2*50=100, Resulting Numbers: [39, 25, 100] Generated Node #2: [39, 25, 100] from Operation: 2*50=100 Current State: 86:[39, 25, 100], Operations: ['2*50=100'] Exploring Operation: 39-25=14, Resulting Numbers: [100, 14] Generated Node #3: [100, 14] from Operation: 39-25=14 Current State: 86:[100, 14], Operations: ['2*50=100', '39-25=14'] Exploring Operation: 100-14=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 91, 38, 75, 7 ]
100
[ "91+75=166", "38*7=266", "266-166=100" ]
Current State: 100:[91, 38, 75, 7], Operations: [] Exploring Operation: 91+75=166, Resulting Numbers: [38, 7, 166] Generated Node #2: [38, 7, 166] from Operation: 91+75=166 Current State: 100:[38, 7, 166], Operations: ['91+75=166'] Exploring Operation: 38*7=266, Resulting Numbers: [166, 266] Generated Node #3: [166, 266] from Operation: 38*7=266 Current State: 100:[166, 266], Operations: ['91+75=166', '38*7=266'] Exploring Operation: 266-166=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 11, 5, 97 ]
97
[ "2*5=10", "11-10=1", "97*1=97" ]
Current State: 97:[2, 11, 5, 97], Operations: [] Exploring Operation: 2*5=10, Resulting Numbers: [11, 97, 10] Generated Node #2: [11, 97, 10] from Operation: 2*5=10 Current State: 97:[11, 97, 10], Operations: ['2*5=10'] Exploring Operation: 11-10=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 11-10=1 Current State: 97:[97, 1], Operations: ['2*5=10', '11-10=1'] Exploring Operation: 97*1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 43, 22, 28, 48 ]
11
[ "43+22=65", "28+48=76", "76-65=11" ]
Current State: 11:[43, 22, 28, 48], Operations: [] Exploring Operation: 43+22=65, Resulting Numbers: [28, 48, 65] Generated Node #2: [28, 48, 65] from Operation: 43+22=65 Current State: 11:[28, 48, 65], Operations: ['43+22=65'] Exploring Operation: 28+48=76, Resulting Numbers: [65, 76] Generated Node #3: [65, 76] from Operation: 28+48=76 Current State: 11:[65, 76], Operations: ['43+22=65', '28+48=76'] Exploring Operation: 76-65=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 66, 61, 13, 86 ]
54
[ "66+61=127", "86-13=73", "127-73=54" ]
Current State: 54:[66, 61, 13, 86], Operations: [] Exploring Operation: 66+61=127, Resulting Numbers: [13, 86, 127] Generated Node #2: [13, 86, 127] from Operation: 66+61=127 Current State: 54:[13, 86, 127], Operations: ['66+61=127'] Exploring Operation: 86-13=73, Resulting Numbers: [127, 73] Generated Node #3: [127, 73] from Operation: 86-13=73 Current State: 54:[127, 73], Operations: ['66+61=127', '86-13=73'] Exploring Operation: 127-73=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 7, 74, 16, 41 ]
24
[ "7+74=81", "16+41=57", "81-57=24" ]
Current State: 24:[7, 74, 16, 41], Operations: [] Exploring Operation: 7+74=81, Resulting Numbers: [16, 41, 81] Generated Node #2: [16, 41, 81] from Operation: 7+74=81 Current State: 24:[16, 41, 81], Operations: ['7+74=81'] Exploring Operation: 16+41=57, Resulting Numbers: [81, 57] Generated Node #3: [81, 57] from Operation: 16+41=57 Current State: 24:[81, 57], Operations: ['7+74=81', '16+41=57'] Exploring Operation: 81-57=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 14, 51, 49, 34 ]
40
[ "34-14=20", "51-49=2", "20*2=40" ]
Current State: 40:[14, 51, 49, 34], Operations: [] Exploring Operation: 34-14=20, Resulting Numbers: [51, 49, 20] Generated Node #2: [51, 49, 20] from Operation: 34-14=20 Current State: 40:[51, 49, 20], Operations: ['34-14=20'] Exploring Operation: 51-49=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 51-49=2 Current State: 40:[20, 2], Operations: ['34-14=20', '51-49=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 49, 65, 96, 33 ]
59
[ "49-33=16", "96/16=6", "65-6=59" ]
Current State: 59:[49, 65, 96, 33], Operations: [] Exploring Operation: 49-33=16, Resulting Numbers: [65, 96, 16] Generated Node #2: [65, 96, 16] from Operation: 49-33=16 Current State: 59:[65, 96, 16], Operations: ['49-33=16'] Exploring Operation: 96/16=6, Resulting Numbers: [65, 6] Generated Node #3: [65, 6] from Operation: 96/16=6 Current State: 59:[65, 6], Operations: ['49-33=16', '96/16=6'] Exploring Operation: 65-6=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 4, 76, 96, 3 ]
80
[ "76/4=19", "96+3=99", "99-19=80" ]
Current State: 80:[4, 76, 96, 3], Operations: [] Exploring Operation: 76/4=19, Resulting Numbers: [96, 3, 19] Generated Node #2: [96, 3, 19] from Operation: 76/4=19 Current State: 80:[96, 3, 19], Operations: ['76/4=19'] Exploring Operation: 96+3=99, Resulting Numbers: [19, 99] Generated Node #3: [19, 99] from Operation: 96+3=99 Current State: 80:[19, 99], Operations: ['76/4=19', '96+3=99'] Exploring Operation: 99-19=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 58, 30, 30, 95 ]
38
[ "95-58=37", "30/30=1", "37+1=38" ]
Current State: 38:[58, 30, 30, 95], Operations: [] Exploring Operation: 95-58=37, Resulting Numbers: [30, 30, 37] Generated Node #2: [30, 30, 37] from Operation: 95-58=37 Current State: 38:[30, 30, 37], Operations: ['95-58=37'] Exploring Operation: 30/30=1, Resulting Numbers: [37, 1] Generated Node #3: [37, 1] from Operation: 30/30=1 Current State: 38:[37, 1], Operations: ['95-58=37', '30/30=1'] Exploring Operation: 37+1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 34, 78, 4, 1 ]
39
[ "78-34=44", "4+1=5", "44-5=39" ]
Current State: 39:[34, 78, 4, 1], Operations: [] Exploring Operation: 78-34=44, Resulting Numbers: [4, 1, 44] Generated Node #2: [4, 1, 44] from Operation: 78-34=44 Current State: 39:[4, 1, 44], Operations: ['78-34=44'] Exploring Operation: 4+1=5, Resulting Numbers: [44, 5] Generated Node #3: [44, 5] from Operation: 4+1=5 Current State: 39:[44, 5], Operations: ['78-34=44', '4+1=5'] Exploring Operation: 44-5=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 83, 35, 9, 94 ]
70
[ "83+9=92", "94-92=2", "35*2=70" ]
Current State: 70:[83, 35, 9, 94], Operations: [] Exploring Operation: 83+9=92, Resulting Numbers: [35, 94, 92] Generated Node #2: [35, 94, 92] from Operation: 83+9=92 Current State: 70:[35, 94, 92], Operations: ['83+9=92'] Exploring Operation: 94-92=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 94-92=2 Current State: 70:[35, 2], Operations: ['83+9=92', '94-92=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 51, 85, 76, 27 ]
69
[ "85-51=34", "76+27=103", "103-34=69" ]
Current State: 69:[51, 85, 76, 27], Operations: [] Exploring Operation: 85-51=34, Resulting Numbers: [76, 27, 34] Generated Node #2: [76, 27, 34] from Operation: 85-51=34 Current State: 69:[76, 27, 34], Operations: ['85-51=34'] Exploring Operation: 76+27=103, Resulting Numbers: [34, 103] Generated Node #3: [34, 103] from Operation: 76+27=103 Current State: 69:[34, 103], Operations: ['85-51=34', '76+27=103'] Exploring Operation: 103-34=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 51, 73, 60, 19 ]
98
[ "60-51=9", "19*9=171", "171-73=98" ]
Current State: 98:[51, 73, 60, 19], Operations: [] Exploring Operation: 60-51=9, Resulting Numbers: [73, 19, 9] Generated Node #2: [73, 19, 9] from Operation: 60-51=9 Current State: 98:[73, 19, 9], Operations: ['60-51=9'] Exploring Operation: 19*9=171, Resulting Numbers: [73, 171] Generated Node #3: [73, 171] from Operation: 19*9=171 Current State: 98:[73, 171], Operations: ['60-51=9', '19*9=171'] Exploring Operation: 171-73=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 66, 2, 1, 81 ]
59
[ "2+1=3", "66/3=22", "81-22=59" ]
Current State: 59:[66, 2, 1, 81], Operations: [] Exploring Operation: 2+1=3, Resulting Numbers: [66, 81, 3] Generated Node #2: [66, 81, 3] from Operation: 2+1=3 Current State: 59:[66, 81, 3], Operations: ['2+1=3'] Exploring Operation: 66/3=22, Resulting Numbers: [81, 22] Generated Node #3: [81, 22] from Operation: 66/3=22 Current State: 59:[81, 22], Operations: ['2+1=3', '66/3=22'] Exploring Operation: 81-22=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4