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
[ 57, 57, 55, 91 ]
35
[ "57/57=1", "91-55=36", "36-1=35" ]
Current State: 35:[57, 57, 55, 91], Operations: [] Exploring Operation: 57/57=1, Resulting Numbers: [55, 91, 1] Generated Node #2: [55, 91, 1] from Operation: 57/57=1 Current State: 35:[55, 91, 1], Operations: ['57/57=1'] Exploring Operation: 91-55=36, Resulting Numbers: [1, 36] Generated Node #3: [1, 36] from Operation: 91-55=36 Current State: 35:[1, 36], Operations: ['57/57=1', '91-55=36'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 13, 89, 51, 61 ]
92
[ "13+89=102", "61-51=10", "102-10=92" ]
Current State: 92:[13, 89, 51, 61], Operations: [] Exploring Operation: 13+89=102, Resulting Numbers: [51, 61, 102] Generated Node #2: [51, 61, 102] from Operation: 13+89=102 Current State: 92:[51, 61, 102], Operations: ['13+89=102'] Exploring Operation: 61-51=10, Resulting Numbers: [102, 10] Generated Node #3: [102, 10] from Operation: 61-51=10 Current State: 92:[102, 10], Operations: ['13+89=102', '61-51=10'] Exploring Operation: 102-10=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 82, 48, 19, 31 ]
74
[ "48*31=1488", "1488-82=1406", "1406/19=74" ]
Current State: 74:[82, 48, 19, 31], Operations: [] Exploring Operation: 48*31=1488, Resulting Numbers: [82, 19, 1488] Generated Node #2: [82, 19, 1488] from Operation: 48*31=1488 Current State: 74:[82, 19, 1488], Operations: ['48*31=1488'] Exploring Operation: 1488-82=1406, Resulting Numbers: [19, 1406] Generated Node #3: [19, 1406] from Operation: 1488-82=1406 Current State: 74:[19, 1406], Operations: ['48*31=1488', '1488-82=1406'] Exploring Operation: 1406/19=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 62, 22, 70, 2 ]
49
[ "62+22=84", "70/2=35", "84-35=49" ]
Current State: 49:[62, 22, 70, 2], Operations: [] Exploring Operation: 62+22=84, Resulting Numbers: [70, 2, 84] Generated Node #2: [70, 2, 84] from Operation: 62+22=84 Current State: 49:[70, 2, 84], Operations: ['62+22=84'] Exploring Operation: 70/2=35, Resulting Numbers: [84, 35] Generated Node #3: [84, 35] from Operation: 70/2=35 Current State: 49:[84, 35], Operations: ['62+22=84', '70/2=35'] Exploring Operation: 84-35=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 50, 28, 4, 64 ]
59
[ "64-28=36", "36/4=9", "50+9=59" ]
Current State: 59:[50, 28, 4, 64], Operations: [] Exploring Operation: 64-28=36, Resulting Numbers: [50, 4, 36] Generated Node #2: [50, 4, 36] from Operation: 64-28=36 Current State: 59:[50, 4, 36], Operations: ['64-28=36'] Exploring Operation: 36/4=9, Resulting Numbers: [50, 9] Generated Node #3: [50, 9] from Operation: 36/4=9 Current State: 59:[50, 9], Operations: ['64-28=36', '36/4=9'] Exploring Operation: 50+9=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 59, 50, 2, 36 ]
91
[ "59+50=109", "36/2=18", "109-18=91" ]
Current State: 91:[59, 50, 2, 36], Operations: [] Exploring Operation: 59+50=109, Resulting Numbers: [2, 36, 109] Generated Node #2: [2, 36, 109] from Operation: 59+50=109 Current State: 91:[2, 36, 109], Operations: ['59+50=109'] Exploring Operation: 36/2=18, Resulting Numbers: [109, 18] Generated Node #3: [109, 18] from Operation: 36/2=18 Current State: 91:[109, 18], Operations: ['59+50=109', '36/2=18'] Exploring Operation: 109-18=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 98, 66, 72, 6 ]
34
[ "98-66=32", "72-6=66", "66-32=34" ]
Current State: 34:[98, 66, 72, 6], Operations: [] Exploring Operation: 98-66=32, Resulting Numbers: [72, 6, 32] Generated Node #2: [72, 6, 32] from Operation: 98-66=32 Current State: 34:[72, 6, 32], Operations: ['98-66=32'] Exploring Operation: 72-6=66, Resulting Numbers: [32, 66] Generated Node #3: [32, 66] from Operation: 72-6=66 Current State: 34:[32, 66], Operations: ['98-66=32', '72-6=66'] Exploring Operation: 66-32=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 13, 34, 26, 43 ]
52
[ "26/13=2", "43*2=86", "86-34=52" ]
Current State: 52:[13, 34, 26, 43], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [34, 43, 2] Generated Node #2: [34, 43, 2] from Operation: 26/13=2 Current State: 52:[34, 43, 2], Operations: ['26/13=2'] Exploring Operation: 43*2=86, Resulting Numbers: [34, 86] Generated Node #3: [34, 86] from Operation: 43*2=86 Current State: 52:[34, 86], Operations: ['26/13=2', '43*2=86'] Exploring Operation: 86-34=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 54, 27, 55, 76 ]
48
[ "54-27=27", "76-55=21", "27+21=48" ]
Current State: 48:[54, 27, 55, 76], Operations: [] Exploring Operation: 54-27=27, Resulting Numbers: [55, 76, 27] Generated Node #2: [55, 76, 27] from Operation: 54-27=27 Current State: 48:[55, 76, 27], Operations: ['54-27=27'] Exploring Operation: 76-55=21, Resulting Numbers: [27, 21] Generated Node #3: [27, 21] from Operation: 76-55=21 Current State: 48:[27, 21], Operations: ['54-27=27', '76-55=21'] Exploring Operation: 27+21=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 66, 3, 75, 14 ]
13
[ "75-66=9", "3*9=27", "27-14=13" ]
Current State: 13:[66, 3, 75, 14], Operations: [] Exploring Operation: 75-66=9, Resulting Numbers: [3, 14, 9] Generated Node #2: [3, 14, 9] from Operation: 75-66=9 Current State: 13:[3, 14, 9], Operations: ['75-66=9'] Exploring Operation: 3*9=27, Resulting Numbers: [14, 27] Generated Node #3: [14, 27] from Operation: 3*9=27 Current State: 13:[14, 27], Operations: ['75-66=9', '3*9=27'] Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 67, 18, 4, 99 ]
94
[ "67+99=166", "18*4=72", "166-72=94" ]
Current State: 94:[67, 18, 4, 99], Operations: [] Exploring Operation: 67+99=166, Resulting Numbers: [18, 4, 166] Generated Node #2: [18, 4, 166] from Operation: 67+99=166 Current State: 94:[18, 4, 166], Operations: ['67+99=166'] Exploring Operation: 18*4=72, Resulting Numbers: [166, 72] Generated Node #3: [166, 72] from Operation: 18*4=72 Current State: 94:[166, 72], Operations: ['67+99=166', '18*4=72'] Exploring Operation: 166-72=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 3, 27, 20 ]
97
[ "30*3=90", "27-20=7", "90+7=97" ]
Current State: 97:[30, 3, 27, 20], Operations: [] Exploring Operation: 30*3=90, Resulting Numbers: [27, 20, 90] Generated Node #2: [27, 20, 90] from Operation: 30*3=90 Current State: 97:[27, 20, 90], Operations: ['30*3=90'] Exploring Operation: 27-20=7, Resulting Numbers: [90, 7] Generated Node #3: [90, 7] from Operation: 27-20=7 Current State: 97:[90, 7], Operations: ['30*3=90', '27-20=7'] Exploring Operation: 90+7=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 81, 74, 8, 86 ]
71
[ "81-74=7", "86-8=78", "78-7=71" ]
Current State: 71:[81, 74, 8, 86], Operations: [] Exploring Operation: 81-74=7, Resulting Numbers: [8, 86, 7] Generated Node #2: [8, 86, 7] from Operation: 81-74=7 Current State: 71:[8, 86, 7], Operations: ['81-74=7'] Exploring Operation: 86-8=78, Resulting Numbers: [7, 78] Generated Node #3: [7, 78] from Operation: 86-8=78 Current State: 71:[7, 78], Operations: ['81-74=7', '86-8=78'] Exploring Operation: 78-7=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 37, 37, 47, 19 ]
66
[ "37-37=0", "47+19=66", "0+66=66" ]
Current State: 66:[37, 37, 47, 19], Operations: [] Exploring Operation: 37-37=0, Resulting Numbers: [47, 19, 0] Generated Node #2: [47, 19, 0] from Operation: 37-37=0 Current State: 66:[47, 19, 0], Operations: ['37-37=0'] Exploring Operation: 47+19=66, Resulting Numbers: [0, 66] Generated Node #3: [0, 66] from Operation: 47+19=66 Current State: 66:[0, 66], Operations: ['37-37=0', '47+19=66'] Exploring Operation: 0+66=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 27, 39, 60, 67 ]
26
[ "67-27=40", "39*40=1560", "1560/60=26" ]
Current State: 26:[27, 39, 60, 67], Operations: [] Exploring Operation: 67-27=40, Resulting Numbers: [39, 60, 40] Generated Node #2: [39, 60, 40] from Operation: 67-27=40 Current State: 26:[39, 60, 40], Operations: ['67-27=40'] Exploring Operation: 39*40=1560, Resulting Numbers: [60, 1560] Generated Node #3: [60, 1560] from Operation: 39*40=1560 Current State: 26:[60, 1560], Operations: ['67-27=40', '39*40=1560'] Exploring Operation: 1560/60=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 34, 4, 15, 23 ]
29
[ "34-23=11", "4*11=44", "44-15=29" ]
Current State: 29:[34, 4, 15, 23], Operations: [] Exploring Operation: 34-23=11, Resulting Numbers: [4, 15, 11] Generated Node #2: [4, 15, 11] from Operation: 34-23=11 Current State: 29:[4, 15, 11], Operations: ['34-23=11'] Exploring Operation: 4*11=44, Resulting Numbers: [15, 44] Generated Node #3: [15, 44] from Operation: 4*11=44 Current State: 29:[15, 44], Operations: ['34-23=11', '4*11=44'] Exploring Operation: 44-15=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 34, 30, 11, 21 ]
32
[ "34+30=64", "11+21=32", "64-32=32" ]
Current State: 32:[34, 30, 11, 21], Operations: [] Exploring Operation: 34+30=64, Resulting Numbers: [11, 21, 64] Generated Node #2: [11, 21, 64] from Operation: 34+30=64 Current State: 32:[11, 21, 64], Operations: ['34+30=64'] Exploring Operation: 11+21=32, Resulting Numbers: [64, 32] Generated Node #3: [64, 32] from Operation: 11+21=32 Current State: 32:[64, 32], Operations: ['34+30=64', '11+21=32'] Exploring Operation: 64-32=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 26, 51, 22, 56 ]
59
[ "51-26=25", "56-22=34", "25+34=59" ]
Current State: 59:[26, 51, 22, 56], Operations: [] Exploring Operation: 51-26=25, Resulting Numbers: [22, 56, 25] Generated Node #2: [22, 56, 25] from Operation: 51-26=25 Current State: 59:[22, 56, 25], Operations: ['51-26=25'] Exploring Operation: 56-22=34, Resulting Numbers: [25, 34] Generated Node #3: [25, 34] from Operation: 56-22=34 Current State: 59:[25, 34], Operations: ['51-26=25', '56-22=34'] Exploring Operation: 25+34=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 99, 92, 38, 7 ]
75
[ "99+92=191", "38*7=266", "266-191=75" ]
Current State: 75:[99, 92, 38, 7], Operations: [] Exploring Operation: 99+92=191, Resulting Numbers: [38, 7, 191] Generated Node #2: [38, 7, 191] from Operation: 99+92=191 Current State: 75:[38, 7, 191], Operations: ['99+92=191'] Exploring Operation: 38*7=266, Resulting Numbers: [191, 266] Generated Node #3: [191, 266] from Operation: 38*7=266 Current State: 75:[191, 266], Operations: ['99+92=191', '38*7=266'] Exploring Operation: 266-191=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 98, 94, 74, 28 ]
92
[ "94+74=168", "168/28=6", "98-6=92" ]
Current State: 92:[98, 94, 74, 28], Operations: [] Exploring Operation: 94+74=168, Resulting Numbers: [98, 28, 168] Generated Node #2: [98, 28, 168] from Operation: 94+74=168 Current State: 92:[98, 28, 168], Operations: ['94+74=168'] Exploring Operation: 168/28=6, Resulting Numbers: [98, 6] Generated Node #3: [98, 6] from Operation: 168/28=6 Current State: 92:[98, 6], Operations: ['94+74=168', '168/28=6'] Exploring Operation: 98-6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 22, 28, 99, 11 ]
73
[ "22/11=2", "99-28=71", "2+71=73" ]
Current State: 73:[22, 28, 99, 11], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [28, 99, 2] Generated Node #2: [28, 99, 2] from Operation: 22/11=2 Current State: 73:[28, 99, 2], Operations: ['22/11=2'] Exploring Operation: 99-28=71, Resulting Numbers: [2, 71] Generated Node #3: [2, 71] from Operation: 99-28=71 Current State: 73:[2, 71], Operations: ['22/11=2', '99-28=71'] Exploring Operation: 2+71=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 58, 65, 72, 21 ]
44
[ "65-58=7", "72-21=51", "51-7=44" ]
Current State: 44:[58, 65, 72, 21], Operations: [] Exploring Operation: 65-58=7, Resulting Numbers: [72, 21, 7] Generated Node #2: [72, 21, 7] from Operation: 65-58=7 Current State: 44:[72, 21, 7], Operations: ['65-58=7'] Exploring Operation: 72-21=51, Resulting Numbers: [7, 51] Generated Node #3: [7, 51] from Operation: 72-21=51 Current State: 44:[7, 51], Operations: ['65-58=7', '72-21=51'] Exploring Operation: 51-7=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 2, 94, 30, 44 ]
84
[ "94+30=124", "44+124=168", "168/2=84" ]
Current State: 84:[2, 94, 30, 44], Operations: [] Exploring Operation: 94+30=124, Resulting Numbers: [2, 44, 124] Generated Node #2: [2, 44, 124] from Operation: 94+30=124 Current State: 84:[2, 44, 124], Operations: ['94+30=124'] Exploring Operation: 44+124=168, Resulting Numbers: [2, 168] Generated Node #3: [2, 168] from Operation: 44+124=168 Current State: 84:[2, 168], Operations: ['94+30=124', '44+124=168'] Exploring Operation: 168/2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 16, 41, 22, 68 ]
33
[ "16+41=57", "22+68=90", "90-57=33" ]
Current State: 33:[16, 41, 22, 68], Operations: [] Exploring Operation: 16+41=57, Resulting Numbers: [22, 68, 57] Generated Node #2: [22, 68, 57] from Operation: 16+41=57 Current State: 33:[22, 68, 57], Operations: ['16+41=57'] Exploring Operation: 22+68=90, Resulting Numbers: [57, 90] Generated Node #3: [57, 90] from Operation: 22+68=90 Current State: 33:[57, 90], Operations: ['16+41=57', '22+68=90'] Exploring Operation: 90-57=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 1, 56, 4, 78 ]
25
[ "1+56=57", "4+78=82", "82-57=25" ]
Current State: 25:[1, 56, 4, 78], Operations: [] Exploring Operation: 1+56=57, Resulting Numbers: [4, 78, 57] Generated Node #2: [4, 78, 57] from Operation: 1+56=57 Current State: 25:[4, 78, 57], Operations: ['1+56=57'] Exploring Operation: 4+78=82, Resulting Numbers: [57, 82] Generated Node #3: [57, 82] from Operation: 4+78=82 Current State: 25:[57, 82], Operations: ['1+56=57', '4+78=82'] Exploring Operation: 82-57=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 14, 8, 22, 71 ]
87
[ "14-8=6", "22+71=93", "93-6=87" ]
Current State: 87:[14, 8, 22, 71], Operations: [] Exploring Operation: 14-8=6, Resulting Numbers: [22, 71, 6] Generated Node #2: [22, 71, 6] from Operation: 14-8=6 Current State: 87:[22, 71, 6], Operations: ['14-8=6'] Exploring Operation: 22+71=93, Resulting Numbers: [6, 93] Generated Node #3: [6, 93] from Operation: 22+71=93 Current State: 87:[6, 93], Operations: ['14-8=6', '22+71=93'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 58, 32, 93, 84 ]
28
[ "58+32=90", "93-90=3", "84/3=28" ]
Current State: 28:[58, 32, 93, 84], Operations: [] Exploring Operation: 58+32=90, Resulting Numbers: [93, 84, 90] Generated Node #2: [93, 84, 90] from Operation: 58+32=90 Current State: 28:[93, 84, 90], Operations: ['58+32=90'] Exploring Operation: 93-90=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 93-90=3 Current State: 28:[84, 3], Operations: ['58+32=90', '93-90=3'] Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 76, 65, 35, 74 ]
50
[ "76-65=11", "74-35=39", "11+39=50" ]
Current State: 50:[76, 65, 35, 74], Operations: [] Exploring Operation: 76-65=11, Resulting Numbers: [35, 74, 11] Generated Node #2: [35, 74, 11] from Operation: 76-65=11 Current State: 50:[35, 74, 11], Operations: ['76-65=11'] Exploring Operation: 74-35=39, Resulting Numbers: [11, 39] Generated Node #3: [11, 39] from Operation: 74-35=39 Current State: 50:[11, 39], Operations: ['76-65=11', '74-35=39'] Exploring Operation: 11+39=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 30, 28, 26, 58 ]
42
[ "30-28=2", "26+58=84", "84/2=42" ]
Current State: 42:[30, 28, 26, 58], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [26, 58, 2] Generated Node #2: [26, 58, 2] from Operation: 30-28=2 Current State: 42:[26, 58, 2], Operations: ['30-28=2'] Exploring Operation: 26+58=84, Resulting Numbers: [2, 84] Generated Node #3: [2, 84] from Operation: 26+58=84 Current State: 42:[2, 84], Operations: ['30-28=2', '26+58=84'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 54, 16, 22, 24 ]
84
[ "54-16=38", "22+24=46", "38+46=84" ]
Current State: 84:[54, 16, 22, 24], Operations: [] Exploring Operation: 54-16=38, Resulting Numbers: [22, 24, 38] Generated Node #2: [22, 24, 38] from Operation: 54-16=38 Current State: 84:[22, 24, 38], Operations: ['54-16=38'] Exploring Operation: 22+24=46, Resulting Numbers: [38, 46] Generated Node #3: [38, 46] from Operation: 22+24=46 Current State: 84:[38, 46], Operations: ['54-16=38', '22+24=46'] Exploring Operation: 38+46=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 28, 86, 57, 61 ]
79
[ "61-57=4", "28/4=7", "86-7=79" ]
Current State: 79:[28, 86, 57, 61], Operations: [] Exploring Operation: 61-57=4, Resulting Numbers: [28, 86, 4] Generated Node #2: [28, 86, 4] from Operation: 61-57=4 Current State: 79:[28, 86, 4], Operations: ['61-57=4'] Exploring Operation: 28/4=7, Resulting Numbers: [86, 7] Generated Node #3: [86, 7] from Operation: 28/4=7 Current State: 79:[86, 7], Operations: ['61-57=4', '28/4=7'] Exploring Operation: 86-7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 79, 76, 76, 80 ]
80
[ "76-76=0", "79*0=0", "80+0=80" ]
Current State: 80:[79, 76, 76, 80], Operations: [] Exploring Operation: 76-76=0, Resulting Numbers: [79, 80, 0] Generated Node #2: [79, 80, 0] from Operation: 76-76=0 Current State: 80:[79, 80, 0], Operations: ['76-76=0'] Exploring Operation: 79*0=0, Resulting Numbers: [80, 0] Generated Node #3: [80, 0] from Operation: 79*0=0 Current State: 80:[80, 0], Operations: ['76-76=0', '79*0=0'] Exploring Operation: 80+0=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 13, 17, 5, 95 ]
61
[ "17-5=12", "13*12=156", "156-95=61" ]
Current State: 61:[13, 17, 5, 95], Operations: [] Exploring Operation: 17-5=12, Resulting Numbers: [13, 95, 12] Generated Node #2: [13, 95, 12] from Operation: 17-5=12 Current State: 61:[13, 95, 12], Operations: ['17-5=12'] Exploring Operation: 13*12=156, Resulting Numbers: [95, 156] Generated Node #3: [95, 156] from Operation: 13*12=156 Current State: 61:[95, 156], Operations: ['17-5=12', '13*12=156'] Exploring Operation: 156-95=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 42, 51, 6, 73 ]
76
[ "51-42=9", "73-6=67", "9+67=76" ]
Current State: 76:[42, 51, 6, 73], Operations: [] Exploring Operation: 51-42=9, Resulting Numbers: [6, 73, 9] Generated Node #2: [6, 73, 9] from Operation: 51-42=9 Current State: 76:[6, 73, 9], Operations: ['51-42=9'] Exploring Operation: 73-6=67, Resulting Numbers: [9, 67] Generated Node #3: [9, 67] from Operation: 73-6=67 Current State: 76:[9, 67], Operations: ['51-42=9', '73-6=67'] Exploring Operation: 9+67=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 15, 6, 50, 81 ]
61
[ "81-15=66", "66/6=11", "50+11=61" ]
Current State: 61:[15, 6, 50, 81], Operations: [] Exploring Operation: 81-15=66, Resulting Numbers: [6, 50, 66] Generated Node #2: [6, 50, 66] from Operation: 81-15=66 Current State: 61:[6, 50, 66], Operations: ['81-15=66'] Exploring Operation: 66/6=11, Resulting Numbers: [50, 11] Generated Node #3: [50, 11] from Operation: 66/6=11 Current State: 61:[50, 11], Operations: ['81-15=66', '66/6=11'] Exploring Operation: 50+11=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 87, 91, 23, 93 ]
66
[ "91-87=4", "93-23=70", "70-4=66" ]
Current State: 66:[87, 91, 23, 93], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [23, 93, 4] Generated Node #2: [23, 93, 4] from Operation: 91-87=4 Current State: 66:[23, 93, 4], Operations: ['91-87=4'] Exploring Operation: 93-23=70, Resulting Numbers: [4, 70] Generated Node #3: [4, 70] from Operation: 93-23=70 Current State: 66:[4, 70], Operations: ['91-87=4', '93-23=70'] Exploring Operation: 70-4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 73, 84, 67, 10 ]
97
[ "84-67=17", "10*17=170", "170-73=97" ]
Current State: 97:[73, 84, 67, 10], Operations: [] Exploring Operation: 84-67=17, Resulting Numbers: [73, 10, 17] Generated Node #2: [73, 10, 17] from Operation: 84-67=17 Current State: 97:[73, 10, 17], Operations: ['84-67=17'] Exploring Operation: 10*17=170, Resulting Numbers: [73, 170] Generated Node #3: [73, 170] from Operation: 10*17=170 Current State: 97:[73, 170], Operations: ['84-67=17', '10*17=170'] Exploring Operation: 170-73=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 35, 21, 28, 46 ]
38
[ "35+21=56", "46-28=18", "56-18=38" ]
Current State: 38:[35, 21, 28, 46], Operations: [] Exploring Operation: 35+21=56, Resulting Numbers: [28, 46, 56] Generated Node #2: [28, 46, 56] from Operation: 35+21=56 Current State: 38:[28, 46, 56], Operations: ['35+21=56'] Exploring Operation: 46-28=18, Resulting Numbers: [56, 18] Generated Node #3: [56, 18] from Operation: 46-28=18 Current State: 38:[56, 18], Operations: ['35+21=56', '46-28=18'] Exploring Operation: 56-18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 24, 25, 16, 79 ]
95
[ "25-24=1", "16+79=95", "1*95=95" ]
Current State: 95:[24, 25, 16, 79], Operations: [] Exploring Operation: 25-24=1, Resulting Numbers: [16, 79, 1] Generated Node #2: [16, 79, 1] from Operation: 25-24=1 Current State: 95:[16, 79, 1], Operations: ['25-24=1'] Exploring Operation: 16+79=95, Resulting Numbers: [1, 95] Generated Node #3: [1, 95] from Operation: 16+79=95 Current State: 95:[1, 95], Operations: ['25-24=1', '16+79=95'] Exploring Operation: 1*95=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 2, 93, 16, 63 ]
70
[ "93-16=77", "63+77=140", "140/2=70" ]
Current State: 70:[2, 93, 16, 63], Operations: [] Exploring Operation: 93-16=77, Resulting Numbers: [2, 63, 77] Generated Node #2: [2, 63, 77] from Operation: 93-16=77 Current State: 70:[2, 63, 77], Operations: ['93-16=77'] Exploring Operation: 63+77=140, Resulting Numbers: [2, 140] Generated Node #3: [2, 140] from Operation: 63+77=140 Current State: 70:[2, 140], Operations: ['93-16=77', '63+77=140'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 2, 54, 34, 37 ]
44
[ "54/2=27", "34+37=71", "71-27=44" ]
Current State: 44:[2, 54, 34, 37], Operations: [] Exploring Operation: 54/2=27, Resulting Numbers: [34, 37, 27] Generated Node #2: [34, 37, 27] from Operation: 54/2=27 Current State: 44:[34, 37, 27], Operations: ['54/2=27'] Exploring Operation: 34+37=71, Resulting Numbers: [27, 71] Generated Node #3: [27, 71] from Operation: 34+37=71 Current State: 44:[27, 71], Operations: ['54/2=27', '34+37=71'] Exploring Operation: 71-27=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 85, 57, 54, 60 ]
34
[ "85-57=28", "60-54=6", "28+6=34" ]
Current State: 34:[85, 57, 54, 60], Operations: [] Exploring Operation: 85-57=28, Resulting Numbers: [54, 60, 28] Generated Node #2: [54, 60, 28] from Operation: 85-57=28 Current State: 34:[54, 60, 28], Operations: ['85-57=28'] Exploring Operation: 60-54=6, Resulting Numbers: [28, 6] Generated Node #3: [28, 6] from Operation: 60-54=6 Current State: 34:[28, 6], Operations: ['85-57=28', '60-54=6'] Exploring Operation: 28+6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 15, 38, 1, 44 ]
84
[ "15-1=14", "44-38=6", "14*6=84" ]
Current State: 84:[15, 38, 1, 44], Operations: [] Exploring Operation: 15-1=14, Resulting Numbers: [38, 44, 14] Generated Node #2: [38, 44, 14] from Operation: 15-1=14 Current State: 84:[38, 44, 14], Operations: ['15-1=14'] Exploring Operation: 44-38=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 44-38=6 Current State: 84:[14, 6], Operations: ['15-1=14', '44-38=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 39, 37, 90, 71 ]
18
[ "39+37=76", "76-71=5", "90/5=18" ]
Current State: 18:[39, 37, 90, 71], Operations: [] Exploring Operation: 39+37=76, Resulting Numbers: [90, 71, 76] Generated Node #2: [90, 71, 76] from Operation: 39+37=76 Current State: 18:[90, 71, 76], Operations: ['39+37=76'] Exploring Operation: 76-71=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 76-71=5 Current State: 18:[90, 5], Operations: ['39+37=76', '76-71=5'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 18, 22, 92, 44 ]
21
[ "22-18=4", "92/4=23", "44-23=21" ]
Current State: 21:[18, 22, 92, 44], Operations: [] Exploring Operation: 22-18=4, Resulting Numbers: [92, 44, 4] Generated Node #2: [92, 44, 4] from Operation: 22-18=4 Current State: 21:[92, 44, 4], Operations: ['22-18=4'] Exploring Operation: 92/4=23, Resulting Numbers: [44, 23] Generated Node #3: [44, 23] from Operation: 92/4=23 Current State: 21:[44, 23], Operations: ['22-18=4', '92/4=23'] Exploring Operation: 44-23=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 42, 4, 99, 29 ]
10
[ "99+29=128", "128/4=32", "42-32=10" ]
Current State: 10:[42, 4, 99, 29], Operations: [] Exploring Operation: 99+29=128, Resulting Numbers: [42, 4, 128] Generated Node #2: [42, 4, 128] from Operation: 99+29=128 Current State: 10:[42, 4, 128], Operations: ['99+29=128'] Exploring Operation: 128/4=32, Resulting Numbers: [42, 32] Generated Node #3: [42, 32] from Operation: 128/4=32 Current State: 10:[42, 32], Operations: ['99+29=128', '128/4=32'] Exploring Operation: 42-32=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 89, 5, 30, 95 ]
29
[ "89+5=94", "95-30=65", "94-65=29" ]
Current State: 29:[89, 5, 30, 95], Operations: [] Exploring Operation: 89+5=94, Resulting Numbers: [30, 95, 94] Generated Node #2: [30, 95, 94] from Operation: 89+5=94 Current State: 29:[30, 95, 94], Operations: ['89+5=94'] Exploring Operation: 95-30=65, Resulting Numbers: [94, 65] Generated Node #3: [94, 65] from Operation: 95-30=65 Current State: 29:[94, 65], Operations: ['89+5=94', '95-30=65'] Exploring Operation: 94-65=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 5, 77, 95, 98 ]
85
[ "5+77=82", "98-95=3", "82+3=85" ]
Current State: 85:[5, 77, 95, 98], Operations: [] Exploring Operation: 5+77=82, Resulting Numbers: [95, 98, 82] Generated Node #2: [95, 98, 82] from Operation: 5+77=82 Current State: 85:[95, 98, 82], Operations: ['5+77=82'] Exploring Operation: 98-95=3, Resulting Numbers: [82, 3] Generated Node #3: [82, 3] from Operation: 98-95=3 Current State: 85:[82, 3], Operations: ['5+77=82', '98-95=3'] Exploring Operation: 82+3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 44, 41, 24, 47 ]
69
[ "44-41=3", "47-24=23", "3*23=69" ]
Current State: 69:[44, 41, 24, 47], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [24, 47, 3] Generated Node #2: [24, 47, 3] from Operation: 44-41=3 Current State: 69:[24, 47, 3], Operations: ['44-41=3'] Exploring Operation: 47-24=23, Resulting Numbers: [3, 23] Generated Node #3: [3, 23] from Operation: 47-24=23 Current State: 69:[3, 23], Operations: ['44-41=3', '47-24=23'] Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 3, 88, 88, 6 ]
88
[ "6/3=2", "88+88=176", "176/2=88" ]
Current State: 88:[3, 88, 88, 6], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [88, 88, 2] Generated Node #2: [88, 88, 2] from Operation: 6/3=2 Current State: 88:[88, 88, 2], Operations: ['6/3=2'] Exploring Operation: 88+88=176, Resulting Numbers: [2, 176] Generated Node #3: [2, 176] from Operation: 88+88=176 Current State: 88:[2, 176], Operations: ['6/3=2', '88+88=176'] Exploring Operation: 176/2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 8, 32, 75, 2 ]
88
[ "32*2=64", "75-64=11", "8*11=88" ]
Current State: 88:[8, 32, 75, 2], Operations: [] Exploring Operation: 32*2=64, Resulting Numbers: [8, 75, 64] Generated Node #2: [8, 75, 64] from Operation: 32*2=64 Current State: 88:[8, 75, 64], Operations: ['32*2=64'] Exploring Operation: 75-64=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 75-64=11 Current State: 88:[8, 11], Operations: ['32*2=64', '75-64=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 69, 4, 59, 92 ]
75
[ "69+92=161", "4*59=236", "236-161=75" ]
Current State: 75:[69, 4, 59, 92], Operations: [] Exploring Operation: 69+92=161, Resulting Numbers: [4, 59, 161] Generated Node #2: [4, 59, 161] from Operation: 69+92=161 Current State: 75:[4, 59, 161], Operations: ['69+92=161'] Exploring Operation: 4*59=236, Resulting Numbers: [161, 236] Generated Node #3: [161, 236] from Operation: 4*59=236 Current State: 75:[161, 236], Operations: ['69+92=161', '4*59=236'] Exploring Operation: 236-161=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 35, 24, 34, 60 ]
37
[ "35-24=11", "60-34=26", "11+26=37" ]
Current State: 37:[35, 24, 34, 60], Operations: [] Exploring Operation: 35-24=11, Resulting Numbers: [34, 60, 11] Generated Node #2: [34, 60, 11] from Operation: 35-24=11 Current State: 37:[34, 60, 11], Operations: ['35-24=11'] Exploring Operation: 60-34=26, Resulting Numbers: [11, 26] Generated Node #3: [11, 26] from Operation: 60-34=26 Current State: 37:[11, 26], Operations: ['35-24=11', '60-34=26'] Exploring Operation: 11+26=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 77, 39, 16, 22 ]
44
[ "77-39=38", "22-16=6", "38+6=44" ]
Current State: 44:[77, 39, 16, 22], Operations: [] Exploring Operation: 77-39=38, Resulting Numbers: [16, 22, 38] Generated Node #2: [16, 22, 38] from Operation: 77-39=38 Current State: 44:[16, 22, 38], Operations: ['77-39=38'] Exploring Operation: 22-16=6, Resulting Numbers: [38, 6] Generated Node #3: [38, 6] from Operation: 22-16=6 Current State: 44:[38, 6], Operations: ['77-39=38', '22-16=6'] Exploring Operation: 38+6=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 53, 21, 92, 46 ]
37
[ "53+21=74", "92/46=2", "74/2=37" ]
Current State: 37:[53, 21, 92, 46], Operations: [] Exploring Operation: 53+21=74, Resulting Numbers: [92, 46, 74] Generated Node #2: [92, 46, 74] from Operation: 53+21=74 Current State: 37:[92, 46, 74], Operations: ['53+21=74'] Exploring Operation: 92/46=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 92/46=2 Current State: 37:[74, 2], Operations: ['53+21=74', '92/46=2'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 12, 33, 32, 31 ]
26
[ "33-31=2", "12/2=6", "32-6=26" ]
Current State: 26:[12, 33, 32, 31], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [12, 32, 2] Generated Node #2: [12, 32, 2] from Operation: 33-31=2 Current State: 26:[12, 32, 2], Operations: ['33-31=2'] Exploring Operation: 12/2=6, Resulting Numbers: [32, 6] Generated Node #3: [32, 6] from Operation: 12/2=6 Current State: 26:[32, 6], Operations: ['33-31=2', '12/2=6'] Exploring Operation: 32-6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 57, 3, 5, 53 ]
11
[ "57-53=4", "3*5=15", "15-4=11" ]
Current State: 11:[57, 3, 5, 53], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [3, 5, 4] Generated Node #2: [3, 5, 4] from Operation: 57-53=4 Current State: 11:[3, 5, 4], Operations: ['57-53=4'] Exploring Operation: 3*5=15, Resulting Numbers: [4, 15] Generated Node #3: [4, 15] from Operation: 3*5=15 Current State: 11:[4, 15], Operations: ['57-53=4', '3*5=15'] Exploring Operation: 15-4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 87, 94, 39, 19 ]
51
[ "94-87=7", "39+19=58", "58-7=51" ]
Current State: 51:[87, 94, 39, 19], Operations: [] Exploring Operation: 94-87=7, Resulting Numbers: [39, 19, 7] Generated Node #2: [39, 19, 7] from Operation: 94-87=7 Current State: 51:[39, 19, 7], Operations: ['94-87=7'] Exploring Operation: 39+19=58, Resulting Numbers: [7, 58] Generated Node #3: [7, 58] from Operation: 39+19=58 Current State: 51:[7, 58], Operations: ['94-87=7', '39+19=58'] Exploring Operation: 58-7=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 15, 6, 42, 54 ]
87
[ "15-6=9", "42+54=96", "96-9=87" ]
Current State: 87:[15, 6, 42, 54], Operations: [] Exploring Operation: 15-6=9, Resulting Numbers: [42, 54, 9] Generated Node #2: [42, 54, 9] from Operation: 15-6=9 Current State: 87:[42, 54, 9], Operations: ['15-6=9'] Exploring Operation: 42+54=96, Resulting Numbers: [9, 96] Generated Node #3: [9, 96] from Operation: 42+54=96 Current State: 87:[9, 96], Operations: ['15-6=9', '42+54=96'] Exploring Operation: 96-9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 61, 56, 10, 22 ]
72
[ "61-56=5", "10*5=50", "22+50=72" ]
Current State: 72:[61, 56, 10, 22], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [10, 22, 5] Generated Node #2: [10, 22, 5] from Operation: 61-56=5 Current State: 72:[10, 22, 5], Operations: ['61-56=5'] Exploring Operation: 10*5=50, Resulting Numbers: [22, 50] Generated Node #3: [22, 50] from Operation: 10*5=50 Current State: 72:[22, 50], Operations: ['61-56=5', '10*5=50'] Exploring Operation: 22+50=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 96, 57, 64, 24 ]
76
[ "96-64=32", "57*32=1824", "1824/24=76" ]
Current State: 76:[96, 57, 64, 24], Operations: [] Exploring Operation: 96-64=32, Resulting Numbers: [57, 24, 32] Generated Node #2: [57, 24, 32] from Operation: 96-64=32 Current State: 76:[57, 24, 32], Operations: ['96-64=32'] Exploring Operation: 57*32=1824, Resulting Numbers: [24, 1824] Generated Node #3: [24, 1824] from Operation: 57*32=1824 Current State: 76:[24, 1824], Operations: ['96-64=32', '57*32=1824'] Exploring Operation: 1824/24=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 76, 78, 19, 71 ]
45
[ "78-76=2", "19+71=90", "90/2=45" ]
Current State: 45:[76, 78, 19, 71], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [19, 71, 2] Generated Node #2: [19, 71, 2] from Operation: 78-76=2 Current State: 45:[19, 71, 2], Operations: ['78-76=2'] Exploring Operation: 19+71=90, Resulting Numbers: [2, 90] Generated Node #3: [2, 90] from Operation: 19+71=90 Current State: 45:[2, 90], Operations: ['78-76=2', '19+71=90'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 83, 18, 54, 34 ]
39
[ "83+34=117", "54/18=3", "117/3=39" ]
Current State: 39:[83, 18, 54, 34], Operations: [] Exploring Operation: 83+34=117, Resulting Numbers: [18, 54, 117] Generated Node #2: [18, 54, 117] from Operation: 83+34=117 Current State: 39:[18, 54, 117], Operations: ['83+34=117'] Exploring Operation: 54/18=3, Resulting Numbers: [117, 3] Generated Node #3: [117, 3] from Operation: 54/18=3 Current State: 39:[117, 3], Operations: ['83+34=117', '54/18=3'] Exploring Operation: 117/3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 3, 17, 26, 77 ]
65
[ "17-3=14", "77-26=51", "14+51=65" ]
Current State: 65:[3, 17, 26, 77], Operations: [] Exploring Operation: 17-3=14, Resulting Numbers: [26, 77, 14] Generated Node #2: [26, 77, 14] from Operation: 17-3=14 Current State: 65:[26, 77, 14], Operations: ['17-3=14'] Exploring Operation: 77-26=51, Resulting Numbers: [14, 51] Generated Node #3: [14, 51] from Operation: 77-26=51 Current State: 65:[14, 51], Operations: ['17-3=14', '77-26=51'] Exploring Operation: 14+51=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 66, 12, 72, 30 ]
70
[ "30-12=18", "72/18=4", "66+4=70" ]
Current State: 70:[66, 12, 72, 30], Operations: [] Exploring Operation: 30-12=18, Resulting Numbers: [66, 72, 18] Generated Node #2: [66, 72, 18] from Operation: 30-12=18 Current State: 70:[66, 72, 18], Operations: ['30-12=18'] Exploring Operation: 72/18=4, Resulting Numbers: [66, 4] Generated Node #3: [66, 4] from Operation: 72/18=4 Current State: 70:[66, 4], Operations: ['30-12=18', '72/18=4'] Exploring Operation: 66+4=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 86, 1, 21, 84 ]
91
[ "86+1=87", "84/21=4", "87+4=91" ]
Current State: 91:[86, 1, 21, 84], Operations: [] Exploring Operation: 86+1=87, Resulting Numbers: [21, 84, 87] Generated Node #2: [21, 84, 87] from Operation: 86+1=87 Current State: 91:[21, 84, 87], Operations: ['86+1=87'] Exploring Operation: 84/21=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 84/21=4 Current State: 91:[87, 4], Operations: ['86+1=87', '84/21=4'] Exploring Operation: 87+4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 38, 13, 43, 52 ]
42
[ "38+13=51", "52-43=9", "51-9=42" ]
Current State: 42:[38, 13, 43, 52], Operations: [] Exploring Operation: 38+13=51, Resulting Numbers: [43, 52, 51] Generated Node #2: [43, 52, 51] from Operation: 38+13=51 Current State: 42:[43, 52, 51], Operations: ['38+13=51'] Exploring Operation: 52-43=9, Resulting Numbers: [51, 9] Generated Node #3: [51, 9] from Operation: 52-43=9 Current State: 42:[51, 9], Operations: ['38+13=51', '52-43=9'] Exploring Operation: 51-9=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 61, 38, 1, 45 ]
67
[ "61-38=23", "45-1=44", "23+44=67" ]
Current State: 67:[61, 38, 1, 45], Operations: [] Exploring Operation: 61-38=23, Resulting Numbers: [1, 45, 23] Generated Node #2: [1, 45, 23] from Operation: 61-38=23 Current State: 67:[1, 45, 23], Operations: ['61-38=23'] Exploring Operation: 45-1=44, Resulting Numbers: [23, 44] Generated Node #3: [23, 44] from Operation: 45-1=44 Current State: 67:[23, 44], Operations: ['61-38=23', '45-1=44'] Exploring Operation: 23+44=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 34, 8, 50, 36 ]
92
[ "50-34=16", "8*16=128", "128-36=92" ]
Current State: 92:[34, 8, 50, 36], Operations: [] Exploring Operation: 50-34=16, Resulting Numbers: [8, 36, 16] Generated Node #2: [8, 36, 16] from Operation: 50-34=16 Current State: 92:[8, 36, 16], Operations: ['50-34=16'] Exploring Operation: 8*16=128, Resulting Numbers: [36, 128] Generated Node #3: [36, 128] from Operation: 8*16=128 Current State: 92:[36, 128], Operations: ['50-34=16', '8*16=128'] Exploring Operation: 128-36=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 23, 97, 47, 46 ]
75
[ "97-23=74", "47-46=1", "74+1=75" ]
Current State: 75:[23, 97, 47, 46], Operations: [] Exploring Operation: 97-23=74, Resulting Numbers: [47, 46, 74] Generated Node #2: [47, 46, 74] from Operation: 97-23=74 Current State: 75:[47, 46, 74], Operations: ['97-23=74'] Exploring Operation: 47-46=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 47-46=1 Current State: 75:[74, 1], Operations: ['97-23=74', '47-46=1'] Exploring Operation: 74+1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 28, 30, 61, 43 ]
40
[ "28+30=58", "61-43=18", "58-18=40" ]
Current State: 40:[28, 30, 61, 43], Operations: [] Exploring Operation: 28+30=58, Resulting Numbers: [61, 43, 58] Generated Node #2: [61, 43, 58] from Operation: 28+30=58 Current State: 40:[61, 43, 58], Operations: ['28+30=58'] Exploring Operation: 61-43=18, Resulting Numbers: [58, 18] Generated Node #3: [58, 18] from Operation: 61-43=18 Current State: 40:[58, 18], Operations: ['28+30=58', '61-43=18'] Exploring Operation: 58-18=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 60, 8, 13, 90 ]
94
[ "60-8=52", "52/13=4", "90+4=94" ]
Current State: 94:[60, 8, 13, 90], Operations: [] Exploring Operation: 60-8=52, Resulting Numbers: [13, 90, 52] Generated Node #2: [13, 90, 52] from Operation: 60-8=52 Current State: 94:[13, 90, 52], Operations: ['60-8=52'] Exploring Operation: 52/13=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 52/13=4 Current State: 94:[90, 4], Operations: ['60-8=52', '52/13=4'] Exploring Operation: 90+4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 81, 46, 80, 15 ]
62
[ "81+46=127", "80-15=65", "127-65=62" ]
Current State: 62:[81, 46, 80, 15], Operations: [] Exploring Operation: 81+46=127, Resulting Numbers: [80, 15, 127] Generated Node #2: [80, 15, 127] from Operation: 81+46=127 Current State: 62:[80, 15, 127], Operations: ['81+46=127'] Exploring Operation: 80-15=65, Resulting Numbers: [127, 65] Generated Node #3: [127, 65] from Operation: 80-15=65 Current State: 62:[127, 65], Operations: ['81+46=127', '80-15=65'] Exploring Operation: 127-65=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 60, 31, 38, 4 ]
63
[ "60-31=29", "38-4=34", "29+34=63" ]
Current State: 63:[60, 31, 38, 4], Operations: [] Exploring Operation: 60-31=29, Resulting Numbers: [38, 4, 29] Generated Node #2: [38, 4, 29] from Operation: 60-31=29 Current State: 63:[38, 4, 29], Operations: ['60-31=29'] Exploring Operation: 38-4=34, Resulting Numbers: [29, 34] Generated Node #3: [29, 34] from Operation: 38-4=34 Current State: 63:[29, 34], Operations: ['60-31=29', '38-4=34'] Exploring Operation: 29+34=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 45, 9, 50, 11 ]
55
[ "11-9=2", "50*2=100", "100-45=55" ]
Current State: 55:[45, 9, 50, 11], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [45, 50, 2] Generated Node #2: [45, 50, 2] from Operation: 11-9=2 Current State: 55:[45, 50, 2], Operations: ['11-9=2'] Exploring Operation: 50*2=100, Resulting Numbers: [45, 100] Generated Node #3: [45, 100] from Operation: 50*2=100 Current State: 55:[45, 100], Operations: ['11-9=2', '50*2=100'] Exploring Operation: 100-45=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 81, 9, 27, 91 ]
79
[ "81+27=108", "108/9=12", "91-12=79" ]
Current State: 79:[81, 9, 27, 91], Operations: [] Exploring Operation: 81+27=108, Resulting Numbers: [9, 91, 108] Generated Node #2: [9, 91, 108] from Operation: 81+27=108 Current State: 79:[9, 91, 108], Operations: ['81+27=108'] Exploring Operation: 108/9=12, Resulting Numbers: [91, 12] Generated Node #3: [91, 12] from Operation: 108/9=12 Current State: 79:[91, 12], Operations: ['81+27=108', '108/9=12'] Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 75, 1, 24, 5 ]
81
[ "5-1=4", "24/4=6", "75+6=81" ]
Current State: 81:[75, 1, 24, 5], Operations: [] Exploring Operation: 5-1=4, Resulting Numbers: [75, 24, 4] Generated Node #2: [75, 24, 4] from Operation: 5-1=4 Current State: 81:[75, 24, 4], Operations: ['5-1=4'] Exploring Operation: 24/4=6, Resulting Numbers: [75, 6] Generated Node #3: [75, 6] from Operation: 24/4=6 Current State: 81:[75, 6], Operations: ['5-1=4', '24/4=6'] Exploring Operation: 75+6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 43, 74, 67, 47 ]
97
[ "43+74=117", "67-47=20", "117-20=97" ]
Current State: 97:[43, 74, 67, 47], Operations: [] Exploring Operation: 43+74=117, Resulting Numbers: [67, 47, 117] Generated Node #2: [67, 47, 117] from Operation: 43+74=117 Current State: 97:[67, 47, 117], Operations: ['43+74=117'] Exploring Operation: 67-47=20, Resulting Numbers: [117, 20] Generated Node #3: [117, 20] from Operation: 67-47=20 Current State: 97:[117, 20], Operations: ['43+74=117', '67-47=20'] Exploring Operation: 117-20=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 12, 88, 82, 96 ]
18
[ "12+96=108", "88-82=6", "108/6=18" ]
Current State: 18:[12, 88, 82, 96], Operations: [] Exploring Operation: 12+96=108, Resulting Numbers: [88, 82, 108] Generated Node #2: [88, 82, 108] from Operation: 12+96=108 Current State: 18:[88, 82, 108], Operations: ['12+96=108'] Exploring Operation: 88-82=6, Resulting Numbers: [108, 6] Generated Node #3: [108, 6] from Operation: 88-82=6 Current State: 18:[108, 6], Operations: ['12+96=108', '88-82=6'] Exploring Operation: 108/6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 5, 94, 16, 78 ]
37
[ "5+94=99", "78-16=62", "99-62=37" ]
Current State: 37:[5, 94, 16, 78], Operations: [] Exploring Operation: 5+94=99, Resulting Numbers: [16, 78, 99] Generated Node #2: [16, 78, 99] from Operation: 5+94=99 Current State: 37:[16, 78, 99], Operations: ['5+94=99'] Exploring Operation: 78-16=62, Resulting Numbers: [99, 62] Generated Node #3: [99, 62] from Operation: 78-16=62 Current State: 37:[99, 62], Operations: ['5+94=99', '78-16=62'] Exploring Operation: 99-62=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 33, 60, 30, 60 ]
33
[ "60-60=0", "30*0=0", "33+0=33" ]
Current State: 33:[33, 60, 30, 60], Operations: [] Exploring Operation: 60-60=0, Resulting Numbers: [33, 30, 0] Generated Node #2: [33, 30, 0] from Operation: 60-60=0 Current State: 33:[33, 30, 0], Operations: ['60-60=0'] Exploring Operation: 30*0=0, Resulting Numbers: [33, 0] Generated Node #3: [33, 0] from Operation: 30*0=0 Current State: 33:[33, 0], Operations: ['60-60=0', '30*0=0'] Exploring Operation: 33+0=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 50, 72, 70, 76 ]
28
[ "72-50=22", "76-70=6", "22+6=28" ]
Current State: 28:[50, 72, 70, 76], Operations: [] Exploring Operation: 72-50=22, Resulting Numbers: [70, 76, 22] Generated Node #2: [70, 76, 22] from Operation: 72-50=22 Current State: 28:[70, 76, 22], Operations: ['72-50=22'] Exploring Operation: 76-70=6, Resulting Numbers: [22, 6] Generated Node #3: [22, 6] from Operation: 76-70=6 Current State: 28:[22, 6], Operations: ['72-50=22', '76-70=6'] Exploring Operation: 22+6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 16, 48, 93, 57 ]
68
[ "48-16=32", "93-57=36", "32+36=68" ]
Current State: 68:[16, 48, 93, 57], Operations: [] Exploring Operation: 48-16=32, Resulting Numbers: [93, 57, 32] Generated Node #2: [93, 57, 32] from Operation: 48-16=32 Current State: 68:[93, 57, 32], Operations: ['48-16=32'] Exploring Operation: 93-57=36, Resulting Numbers: [32, 36] Generated Node #3: [32, 36] from Operation: 93-57=36 Current State: 68:[32, 36], Operations: ['48-16=32', '93-57=36'] Exploring Operation: 32+36=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 98, 2, 73, 48 ]
46
[ "98-73=25", "48-25=23", "2*23=46" ]
Current State: 46:[98, 2, 73, 48], Operations: [] Exploring Operation: 98-73=25, Resulting Numbers: [2, 48, 25] Generated Node #2: [2, 48, 25] from Operation: 98-73=25 Current State: 46:[2, 48, 25], Operations: ['98-73=25'] Exploring Operation: 48-25=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 48-25=23 Current State: 46:[2, 23], Operations: ['98-73=25', '48-25=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 37, 48, 99, 98 ]
89
[ "48-37=11", "99/11=9", "98-9=89" ]
Current State: 89:[37, 48, 99, 98], Operations: [] Exploring Operation: 48-37=11, Resulting Numbers: [99, 98, 11] Generated Node #2: [99, 98, 11] from Operation: 48-37=11 Current State: 89:[99, 98, 11], Operations: ['48-37=11'] Exploring Operation: 99/11=9, Resulting Numbers: [98, 9] Generated Node #3: [98, 9] from Operation: 99/11=9 Current State: 89:[98, 9], Operations: ['48-37=11', '99/11=9'] Exploring Operation: 98-9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 61, 28, 2, 85 ]
93
[ "61+28=89", "2*89=178", "178-85=93" ]
Current State: 93:[61, 28, 2, 85], Operations: [] Exploring Operation: 61+28=89, Resulting Numbers: [2, 85, 89] Generated Node #2: [2, 85, 89] from Operation: 61+28=89 Current State: 93:[2, 85, 89], Operations: ['61+28=89'] Exploring Operation: 2*89=178, Resulting Numbers: [85, 178] Generated Node #3: [85, 178] from Operation: 2*89=178 Current State: 93:[85, 178], Operations: ['61+28=89', '2*89=178'] Exploring Operation: 178-85=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 40, 75, 28, 45 ]
43
[ "45-40=5", "75/5=15", "28+15=43" ]
Current State: 43:[40, 75, 28, 45], Operations: [] Exploring Operation: 45-40=5, Resulting Numbers: [75, 28, 5] Generated Node #2: [75, 28, 5] from Operation: 45-40=5 Current State: 43:[75, 28, 5], Operations: ['45-40=5'] Exploring Operation: 75/5=15, Resulting Numbers: [28, 15] Generated Node #3: [28, 15] from Operation: 75/5=15 Current State: 43:[28, 15], Operations: ['45-40=5', '75/5=15'] Exploring Operation: 28+15=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 26, 62, 24, 69 ]
100
[ "26-24=2", "62/2=31", "69+31=100" ]
Current State: 100:[26, 62, 24, 69], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [62, 69, 2] Generated Node #2: [62, 69, 2] from Operation: 26-24=2 Current State: 100:[62, 69, 2], Operations: ['26-24=2'] Exploring Operation: 62/2=31, Resulting Numbers: [69, 31] Generated Node #3: [69, 31] from Operation: 62/2=31 Current State: 100:[69, 31], Operations: ['26-24=2', '62/2=31'] Exploring Operation: 69+31=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 58, 85, 69, 44 ]
81
[ "69-58=11", "44/11=4", "85-4=81" ]
Current State: 81:[58, 85, 69, 44], Operations: [] Exploring Operation: 69-58=11, Resulting Numbers: [85, 44, 11] Generated Node #2: [85, 44, 11] from Operation: 69-58=11 Current State: 81:[85, 44, 11], Operations: ['69-58=11'] Exploring Operation: 44/11=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 44/11=4 Current State: 81:[85, 4], Operations: ['69-58=11', '44/11=4'] Exploring Operation: 85-4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 34, 64, 58, 36 ]
70
[ "36-34=2", "64*2=128", "128-58=70" ]
Current State: 70:[34, 64, 58, 36], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [64, 58, 2] Generated Node #2: [64, 58, 2] from Operation: 36-34=2 Current State: 70:[64, 58, 2], Operations: ['36-34=2'] Exploring Operation: 64*2=128, Resulting Numbers: [58, 128] Generated Node #3: [58, 128] from Operation: 64*2=128 Current State: 70:[58, 128], Operations: ['36-34=2', '64*2=128'] Exploring Operation: 128-58=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 80, 20, 6, 73 ]
97
[ "80/20=4", "6*4=24", "73+24=97" ]
Current State: 97:[80, 20, 6, 73], Operations: [] Exploring Operation: 80/20=4, Resulting Numbers: [6, 73, 4] Generated Node #2: [6, 73, 4] from Operation: 80/20=4 Current State: 97:[6, 73, 4], Operations: ['80/20=4'] Exploring Operation: 6*4=24, Resulting Numbers: [73, 24] Generated Node #3: [73, 24] from Operation: 6*4=24 Current State: 97:[73, 24], Operations: ['80/20=4', '6*4=24'] Exploring Operation: 73+24=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 66, 76, 99, 96 ]
68
[ "99*96=9504", "9504/66=144", "144-76=68" ]
Current State: 68:[66, 76, 99, 96], Operations: [] Exploring Operation: 99*96=9504, Resulting Numbers: [66, 76, 9504] Generated Node #2: [66, 76, 9504] from Operation: 99*96=9504 Current State: 68:[66, 76, 9504], Operations: ['99*96=9504'] Exploring Operation: 9504/66=144, Resulting Numbers: [76, 144] Generated Node #3: [76, 144] from Operation: 9504/66=144 Current State: 68:[76, 144], Operations: ['99*96=9504', '9504/66=144'] Exploring Operation: 144-76=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 3, 19, 24, 11 ]
16
[ "24/3=8", "19-11=8", "8+8=16" ]
Current State: 16:[3, 19, 24, 11], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [19, 11, 8] Generated Node #2: [19, 11, 8] from Operation: 24/3=8 Current State: 16:[19, 11, 8], Operations: ['24/3=8'] Exploring Operation: 19-11=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 19-11=8 Current State: 16:[8, 8], Operations: ['24/3=8', '19-11=8'] Exploring Operation: 8+8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 58, 52, 60, 85 ]
75
[ "58-52=6", "60/6=10", "85-10=75" ]
Current State: 75:[58, 52, 60, 85], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [60, 85, 6] Generated Node #2: [60, 85, 6] from Operation: 58-52=6 Current State: 75:[60, 85, 6], Operations: ['58-52=6'] Exploring Operation: 60/6=10, Resulting Numbers: [85, 10] Generated Node #3: [85, 10] from Operation: 60/6=10 Current State: 75:[85, 10], Operations: ['58-52=6', '60/6=10'] Exploring Operation: 85-10=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 2, 1, 92, 58 ]
62
[ "58/2=29", "92-1=91", "91-29=62" ]
Current State: 62:[2, 1, 92, 58], Operations: [] Exploring Operation: 58/2=29, Resulting Numbers: [1, 92, 29] Generated Node #2: [1, 92, 29] from Operation: 58/2=29 Current State: 62:[1, 92, 29], Operations: ['58/2=29'] Exploring Operation: 92-1=91, Resulting Numbers: [29, 91] Generated Node #3: [29, 91] from Operation: 92-1=91 Current State: 62:[29, 91], Operations: ['58/2=29', '92-1=91'] Exploring Operation: 91-29=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 92, 32, 64, 23 ]
72
[ "92/23=4", "32/4=8", "64+8=72" ]
Current State: 72:[92, 32, 64, 23], Operations: [] Exploring Operation: 92/23=4, Resulting Numbers: [32, 64, 4] Generated Node #2: [32, 64, 4] from Operation: 92/23=4 Current State: 72:[32, 64, 4], Operations: ['92/23=4'] Exploring Operation: 32/4=8, Resulting Numbers: [64, 8] Generated Node #3: [64, 8] from Operation: 32/4=8 Current State: 72:[64, 8], Operations: ['92/23=4', '32/4=8'] Exploring Operation: 64+8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 15, 6, 58, 4 ]
97
[ "15+58=73", "6*4=24", "73+24=97" ]
Current State: 97:[15, 6, 58, 4], Operations: [] Exploring Operation: 15+58=73, Resulting Numbers: [6, 4, 73] Generated Node #2: [6, 4, 73] from Operation: 15+58=73 Current State: 97:[6, 4, 73], Operations: ['15+58=73'] Exploring Operation: 6*4=24, Resulting Numbers: [73, 24] Generated Node #3: [73, 24] from Operation: 6*4=24 Current State: 97:[73, 24], Operations: ['15+58=73', '6*4=24'] Exploring Operation: 73+24=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 92, 75, 42, 2 ]
25
[ "92-42=50", "2*50=100", "100-75=25" ]
Current State: 25:[92, 75, 42, 2], Operations: [] Exploring Operation: 92-42=50, Resulting Numbers: [75, 2, 50] Generated Node #2: [75, 2, 50] from Operation: 92-42=50 Current State: 25:[75, 2, 50], Operations: ['92-42=50'] Exploring Operation: 2*50=100, Resulting Numbers: [75, 100] Generated Node #3: [75, 100] from Operation: 2*50=100 Current State: 25:[75, 100], Operations: ['92-42=50', '2*50=100'] Exploring Operation: 100-75=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 18, 56, 40, 8 ]
48
[ "18*8=144", "56+40=96", "144-96=48" ]
Current State: 48:[18, 56, 40, 8], Operations: [] Exploring Operation: 18*8=144, Resulting Numbers: [56, 40, 144] Generated Node #2: [56, 40, 144] from Operation: 18*8=144 Current State: 48:[56, 40, 144], Operations: ['18*8=144'] Exploring Operation: 56+40=96, Resulting Numbers: [144, 96] Generated Node #3: [144, 96] from Operation: 56+40=96 Current State: 48:[144, 96], Operations: ['18*8=144', '56+40=96'] Exploring Operation: 144-96=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 76, 32, 46, 96 ]
94
[ "76-32=44", "96-46=50", "44+50=94" ]
Current State: 94:[76, 32, 46, 96], Operations: [] Exploring Operation: 76-32=44, Resulting Numbers: [46, 96, 44] Generated Node #2: [46, 96, 44] from Operation: 76-32=44 Current State: 94:[46, 96, 44], Operations: ['76-32=44'] Exploring Operation: 96-46=50, Resulting Numbers: [44, 50] Generated Node #3: [44, 50] from Operation: 96-46=50 Current State: 94:[44, 50], Operations: ['76-32=44', '96-46=50'] Exploring Operation: 44+50=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4