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
[ 7, 24, 74, 2 ]
79
[ "74-7=67", "24/2=12", "67+12=79" ]
Current State: 79:[7, 24, 74, 2], Operations: [] Exploring Operation: 74-7=67, Resulting Numbers: [24, 2, 67] Generated Node #2: [24, 2, 67] from Operation: 74-7=67 Current State: 79:[24, 2, 67], Operations: ['74-7=67'] Exploring Operation: 24/2=12, Resulting Numbers: [67, 12] Generated Node #3: [67, 12] from Operation: 24/2=12 Current State: 79:[67, 12], Operations: ['74-7=67', '24/2=12'] Exploring Operation: 67+12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 62, 33, 63, 66 ]
34
[ "62+33=95", "63+66=129", "129-95=34" ]
Current State: 34:[62, 33, 63, 66], Operations: [] Exploring Operation: 62+33=95, Resulting Numbers: [63, 66, 95] Generated Node #2: [63, 66, 95] from Operation: 62+33=95 Current State: 34:[63, 66, 95], Operations: ['62+33=95'] Exploring Operation: 63+66=129, Resulting Numbers: [95, 129] Generated Node #3: [95, 129] from Operation: 63+66=129 Current State: 34:[95, 129], Operations: ['62+33=95', '63+66=129'] Exploring Operation: 129-95=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 75, 45, 61, 3 ]
51
[ "75-45=30", "30/3=10", "61-10=51" ]
Current State: 51:[75, 45, 61, 3], Operations: [] Exploring Operation: 75-45=30, Resulting Numbers: [61, 3, 30] Generated Node #2: [61, 3, 30] from Operation: 75-45=30 Current State: 51:[61, 3, 30], Operations: ['75-45=30'] Exploring Operation: 30/3=10, Resulting Numbers: [61, 10] Generated Node #3: [61, 10] from Operation: 30/3=10 Current State: 51:[61, 10], Operations: ['75-45=30', '30/3=10'] Exploring Operation: 61-10=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 54, 41, 1, 41 ]
28
[ "54-41=13", "1*41=41", "41-13=28" ]
Current State: 28:[54, 41, 1, 41], Operations: [] Exploring Operation: 54-41=13, Resulting Numbers: [1, 13] Generated Node #2: [1, 13] from Operation: 54-41=13 Current State: 28:[1, 13], Operations: ['54-41=13'] Exploring Operation: 1*41=41, Resulting Numbers: [13, 41] Generated Node #3: [13, 41] from Operation: 1*41=41 Current State: 28:[13, 41], Operations: ['54-41=13', '1*41=41'] Exploring Operation: 41-13=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 96, 51, 66, 62 ]
75
[ "66-62=4", "96/4=24", "51+24=75" ]
Current State: 75:[96, 51, 66, 62], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [96, 51, 4] Generated Node #2: [96, 51, 4] from Operation: 66-62=4 Current State: 75:[96, 51, 4], Operations: ['66-62=4'] Exploring Operation: 96/4=24, Resulting Numbers: [51, 24] Generated Node #3: [51, 24] from Operation: 96/4=24 Current State: 75:[51, 24], Operations: ['66-62=4', '96/4=24'] Exploring Operation: 51+24=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 82, 12, 71, 13 ]
89
[ "71+13=84", "84/12=7", "82+7=89" ]
Current State: 89:[82, 12, 71, 13], Operations: [] Exploring Operation: 71+13=84, Resulting Numbers: [82, 12, 84] Generated Node #2: [82, 12, 84] from Operation: 71+13=84 Current State: 89:[82, 12, 84], Operations: ['71+13=84'] Exploring Operation: 84/12=7, Resulting Numbers: [82, 7] Generated Node #3: [82, 7] from Operation: 84/12=7 Current State: 89:[82, 7], Operations: ['71+13=84', '84/12=7'] Exploring Operation: 82+7=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 48, 96, 90, 91 ]
92
[ "96/48=2", "91*2=182", "182-90=92" ]
Current State: 92:[48, 96, 90, 91], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [90, 91, 2] Generated Node #2: [90, 91, 2] from Operation: 96/48=2 Current State: 92:[90, 91, 2], Operations: ['96/48=2'] Exploring Operation: 91*2=182, Resulting Numbers: [90, 182] Generated Node #3: [90, 182] from Operation: 91*2=182 Current State: 92:[90, 182], Operations: ['96/48=2', '91*2=182'] Exploring Operation: 182-90=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 6, 14, 6, 39 ]
51
[ "6*14=84", "39-6=33", "84-33=51" ]
Current State: 51:[6, 14, 6, 39], Operations: [] Exploring Operation: 6*14=84, Resulting Numbers: [39, 84] Generated Node #2: [39, 84] from Operation: 6*14=84 Current State: 51:[39, 84], Operations: ['6*14=84'] Exploring Operation: 39-6=33, Resulting Numbers: [84, 33] Generated Node #3: [84, 33] from Operation: 39-6=33 Current State: 51:[84, 33], Operations: ['6*14=84', '39-6=33'] Exploring Operation: 84-33=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 65, 16, 79, 44 ]
88
[ "65+16=81", "81-79=2", "44*2=88" ]
Current State: 88:[65, 16, 79, 44], Operations: [] Exploring Operation: 65+16=81, Resulting Numbers: [79, 44, 81] Generated Node #2: [79, 44, 81] from Operation: 65+16=81 Current State: 88:[79, 44, 81], Operations: ['65+16=81'] Exploring Operation: 81-79=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 81-79=2 Current State: 88:[44, 2], Operations: ['65+16=81', '81-79=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 62, 38, 26, 62 ]
38
[ "62-62=0", "26*0=0", "38+0=38" ]
Current State: 38:[62, 38, 26, 62], Operations: [] Exploring Operation: 62-62=0, Resulting Numbers: [38, 26, 0] Generated Node #2: [38, 26, 0] from Operation: 62-62=0 Current State: 38:[38, 26, 0], Operations: ['62-62=0'] Exploring Operation: 26*0=0, Resulting Numbers: [38, 0] Generated Node #3: [38, 0] from Operation: 26*0=0 Current State: 38:[38, 0], Operations: ['62-62=0', '26*0=0'] Exploring Operation: 38+0=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 30, 77, 28, 10 ]
70
[ "30*28=840", "77*10=770", "840-770=70" ]
Current State: 70:[30, 77, 28, 10], Operations: [] Exploring Operation: 30*28=840, Resulting Numbers: [77, 10, 840] Generated Node #2: [77, 10, 840] from Operation: 30*28=840 Current State: 70:[77, 10, 840], Operations: ['30*28=840'] Exploring Operation: 77*10=770, Resulting Numbers: [840, 770] Generated Node #3: [840, 770] from Operation: 77*10=770 Current State: 70:[840, 770], Operations: ['30*28=840', '77*10=770'] Exploring Operation: 840-770=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 4, 2, 30, 55 ]
79
[ "4+2=6", "30+55=85", "85-6=79" ]
Current State: 79:[4, 2, 30, 55], Operations: [] Exploring Operation: 4+2=6, Resulting Numbers: [30, 55, 6] Generated Node #2: [30, 55, 6] from Operation: 4+2=6 Current State: 79:[30, 55, 6], Operations: ['4+2=6'] Exploring Operation: 30+55=85, Resulting Numbers: [6, 85] Generated Node #3: [6, 85] from Operation: 30+55=85 Current State: 79:[6, 85], Operations: ['4+2=6', '30+55=85'] Exploring Operation: 85-6=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 8, 18, 91, 23 ]
78
[ "18-8=10", "91-23=68", "10+68=78" ]
Current State: 78:[8, 18, 91, 23], Operations: [] Exploring Operation: 18-8=10, Resulting Numbers: [91, 23, 10] Generated Node #2: [91, 23, 10] from Operation: 18-8=10 Current State: 78:[91, 23, 10], Operations: ['18-8=10'] Exploring Operation: 91-23=68, Resulting Numbers: [10, 68] Generated Node #3: [10, 68] from Operation: 91-23=68 Current State: 78:[10, 68], Operations: ['18-8=10', '91-23=68'] Exploring Operation: 10+68=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 10, 33, 44, 24 ]
43
[ "33-10=23", "44-24=20", "23+20=43" ]
Current State: 43:[10, 33, 44, 24], Operations: [] Exploring Operation: 33-10=23, Resulting Numbers: [44, 24, 23] Generated Node #2: [44, 24, 23] from Operation: 33-10=23 Current State: 43:[44, 24, 23], Operations: ['33-10=23'] Exploring Operation: 44-24=20, Resulting Numbers: [23, 20] Generated Node #3: [23, 20] from Operation: 44-24=20 Current State: 43:[23, 20], Operations: ['33-10=23', '44-24=20'] Exploring Operation: 23+20=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 53, 84, 1, 44 ]
94
[ "53+84=137", "44-1=43", "137-43=94" ]
Current State: 94:[53, 84, 1, 44], Operations: [] Exploring Operation: 53+84=137, Resulting Numbers: [1, 44, 137] Generated Node #2: [1, 44, 137] from Operation: 53+84=137 Current State: 94:[1, 44, 137], Operations: ['53+84=137'] Exploring Operation: 44-1=43, Resulting Numbers: [137, 43] Generated Node #3: [137, 43] from Operation: 44-1=43 Current State: 94:[137, 43], Operations: ['53+84=137', '44-1=43'] Exploring Operation: 137-43=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 75, 79, 66, 7 ]
22
[ "79-75=4", "7-4=3", "66/3=22" ]
Current State: 22:[75, 79, 66, 7], Operations: [] Exploring Operation: 79-75=4, Resulting Numbers: [66, 7, 4] Generated Node #2: [66, 7, 4] from Operation: 79-75=4 Current State: 22:[66, 7, 4], Operations: ['79-75=4'] Exploring Operation: 7-4=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 7-4=3 Current State: 22:[66, 3], Operations: ['79-75=4', '7-4=3'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 58, 56, 2, 50 ]
70
[ "56-50=6", "2*6=12", "58+12=70" ]
Current State: 70:[58, 56, 2, 50], Operations: [] Exploring Operation: 56-50=6, Resulting Numbers: [58, 2, 6] Generated Node #2: [58, 2, 6] from Operation: 56-50=6 Current State: 70:[58, 2, 6], Operations: ['56-50=6'] Exploring Operation: 2*6=12, Resulting Numbers: [58, 12] Generated Node #3: [58, 12] from Operation: 2*6=12 Current State: 70:[58, 12], Operations: ['56-50=6', '2*6=12'] Exploring Operation: 58+12=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 91, 39, 31, 26 ]
26
[ "91+39=130", "31-26=5", "130/5=26" ]
Current State: 26:[91, 39, 31, 26], Operations: [] Exploring Operation: 91+39=130, Resulting Numbers: [31, 26, 130] Generated Node #2: [31, 26, 130] from Operation: 91+39=130 Current State: 26:[31, 26, 130], Operations: ['91+39=130'] Exploring Operation: 31-26=5, Resulting Numbers: [130, 5] Generated Node #3: [130, 5] from Operation: 31-26=5 Current State: 26:[130, 5], Operations: ['91+39=130', '31-26=5'] Exploring Operation: 130/5=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 42, 46, 5, 93 ]
71
[ "42*5=210", "46+93=139", "210-139=71" ]
Current State: 71:[42, 46, 5, 93], Operations: [] Exploring Operation: 42*5=210, Resulting Numbers: [46, 93, 210] Generated Node #2: [46, 93, 210] from Operation: 42*5=210 Current State: 71:[46, 93, 210], Operations: ['42*5=210'] Exploring Operation: 46+93=139, Resulting Numbers: [210, 139] Generated Node #3: [210, 139] from Operation: 46+93=139 Current State: 71:[210, 139], Operations: ['42*5=210', '46+93=139'] Exploring Operation: 210-139=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 1, 4, 60, 29 ]
43
[ "29-1=28", "60/4=15", "28+15=43" ]
Current State: 43:[1, 4, 60, 29], Operations: [] Exploring Operation: 29-1=28, Resulting Numbers: [4, 60, 28] Generated Node #2: [4, 60, 28] from Operation: 29-1=28 Current State: 43:[4, 60, 28], Operations: ['29-1=28'] Exploring Operation: 60/4=15, Resulting Numbers: [28, 15] Generated Node #3: [28, 15] from Operation: 60/4=15 Current State: 43:[28, 15], Operations: ['29-1=28', '60/4=15'] Exploring Operation: 28+15=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 58, 12, 7, 16 ]
66
[ "58-12=46", "7*16=112", "112-46=66" ]
Current State: 66:[58, 12, 7, 16], Operations: [] Exploring Operation: 58-12=46, Resulting Numbers: [7, 16, 46] Generated Node #2: [7, 16, 46] from Operation: 58-12=46 Current State: 66:[7, 16, 46], Operations: ['58-12=46'] Exploring Operation: 7*16=112, Resulting Numbers: [46, 112] Generated Node #3: [46, 112] from Operation: 7*16=112 Current State: 66:[46, 112], Operations: ['58-12=46', '7*16=112'] Exploring Operation: 112-46=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 85, 43, 71, 39 ]
68
[ "85-43=42", "71+39=110", "110-42=68" ]
Current State: 68:[85, 43, 71, 39], Operations: [] Exploring Operation: 85-43=42, Resulting Numbers: [71, 39, 42] Generated Node #2: [71, 39, 42] from Operation: 85-43=42 Current State: 68:[71, 39, 42], Operations: ['85-43=42'] Exploring Operation: 71+39=110, Resulting Numbers: [42, 110] Generated Node #3: [42, 110] from Operation: 71+39=110 Current State: 68:[42, 110], Operations: ['85-43=42', '71+39=110'] Exploring Operation: 110-42=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 2, 18, 42, 36 ]
86
[ "2*42=84", "36/18=2", "84+2=86" ]
Current State: 86:[2, 18, 42, 36], Operations: [] Exploring Operation: 2*42=84, Resulting Numbers: [18, 36, 84] Generated Node #2: [18, 36, 84] from Operation: 2*42=84 Current State: 86:[18, 36, 84], Operations: ['2*42=84'] Exploring Operation: 36/18=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 36/18=2 Current State: 86:[84, 2], Operations: ['2*42=84', '36/18=2'] Exploring Operation: 84+2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 7, 38, 10, 81 ]
46
[ "7+38=45", "10+81=91", "91-45=46" ]
Current State: 46:[7, 38, 10, 81], Operations: [] Exploring Operation: 7+38=45, Resulting Numbers: [10, 81, 45] Generated Node #2: [10, 81, 45] from Operation: 7+38=45 Current State: 46:[10, 81, 45], Operations: ['7+38=45'] Exploring Operation: 10+81=91, Resulting Numbers: [45, 91] Generated Node #3: [45, 91] from Operation: 10+81=91 Current State: 46:[45, 91], Operations: ['7+38=45', '10+81=91'] Exploring Operation: 91-45=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 42, 68, 59, 58 ]
25
[ "68-42=26", "59-58=1", "26-1=25" ]
Current State: 25:[42, 68, 59, 58], Operations: [] Exploring Operation: 68-42=26, Resulting Numbers: [59, 58, 26] Generated Node #2: [59, 58, 26] from Operation: 68-42=26 Current State: 25:[59, 58, 26], Operations: ['68-42=26'] Exploring Operation: 59-58=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 59-58=1 Current State: 25:[26, 1], Operations: ['68-42=26', '59-58=1'] Exploring Operation: 26-1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 11, 2, 58, 11 ]
59
[ "11/11=1", "2+58=60", "60-1=59" ]
Current State: 59:[11, 2, 58, 11], Operations: [] Exploring Operation: 11/11=1, Resulting Numbers: [2, 58, 1] Generated Node #2: [2, 58, 1] from Operation: 11/11=1 Current State: 59:[2, 58, 1], Operations: ['11/11=1'] Exploring Operation: 2+58=60, Resulting Numbers: [1, 60] Generated Node #3: [1, 60] from Operation: 2+58=60 Current State: 59:[1, 60], Operations: ['11/11=1', '2+58=60'] Exploring Operation: 60-1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 90, 45, 29, 15 ]
91
[ "90+45=135", "29+15=44", "135-44=91" ]
Current State: 91:[90, 45, 29, 15], Operations: [] Exploring Operation: 90+45=135, Resulting Numbers: [29, 15, 135] Generated Node #2: [29, 15, 135] from Operation: 90+45=135 Current State: 91:[29, 15, 135], Operations: ['90+45=135'] Exploring Operation: 29+15=44, Resulting Numbers: [135, 44] Generated Node #3: [135, 44] from Operation: 29+15=44 Current State: 91:[135, 44], Operations: ['90+45=135', '29+15=44'] Exploring Operation: 135-44=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 20, 19, 3, 61 ]
16
[ "61-20=41", "19*3=57", "57-41=16" ]
Current State: 16:[20, 19, 3, 61], Operations: [] Exploring Operation: 61-20=41, Resulting Numbers: [19, 3, 41] Generated Node #2: [19, 3, 41] from Operation: 61-20=41 Current State: 16:[19, 3, 41], Operations: ['61-20=41'] Exploring Operation: 19*3=57, Resulting Numbers: [41, 57] Generated Node #3: [41, 57] from Operation: 19*3=57 Current State: 16:[41, 57], Operations: ['61-20=41', '19*3=57'] Exploring Operation: 57-41=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 15, 54, 51, 32 ]
39
[ "54+51=105", "105/15=7", "32+7=39" ]
Current State: 39:[15, 54, 51, 32], Operations: [] Exploring Operation: 54+51=105, Resulting Numbers: [15, 32, 105] Generated Node #2: [15, 32, 105] from Operation: 54+51=105 Current State: 39:[15, 32, 105], Operations: ['54+51=105'] Exploring Operation: 105/15=7, Resulting Numbers: [32, 7] Generated Node #3: [32, 7] from Operation: 105/15=7 Current State: 39:[32, 7], Operations: ['54+51=105', '105/15=7'] Exploring Operation: 32+7=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 42, 66, 6, 44 ]
29
[ "42/6=7", "66-44=22", "7+22=29" ]
Current State: 29:[42, 66, 6, 44], Operations: [] Exploring Operation: 42/6=7, Resulting Numbers: [66, 44, 7] Generated Node #2: [66, 44, 7] from Operation: 42/6=7 Current State: 29:[66, 44, 7], Operations: ['42/6=7'] Exploring Operation: 66-44=22, Resulting Numbers: [7, 22] Generated Node #3: [7, 22] from Operation: 66-44=22 Current State: 29:[7, 22], Operations: ['42/6=7', '66-44=22'] Exploring Operation: 7+22=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 43, 24, 44, 39 ]
38
[ "43-39=4", "24/4=6", "44-6=38" ]
Current State: 38:[43, 24, 44, 39], Operations: [] Exploring Operation: 43-39=4, Resulting Numbers: [24, 44, 4] Generated Node #2: [24, 44, 4] from Operation: 43-39=4 Current State: 38:[24, 44, 4], Operations: ['43-39=4'] Exploring Operation: 24/4=6, Resulting Numbers: [44, 6] Generated Node #3: [44, 6] from Operation: 24/4=6 Current State: 38:[44, 6], Operations: ['43-39=4', '24/4=6'] Exploring Operation: 44-6=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 91, 18, 53, 24 ]
24
[ "91+53=144", "24-18=6", "144/6=24" ]
Current State: 24:[91, 18, 53, 24], Operations: [] Exploring Operation: 91+53=144, Resulting Numbers: [18, 24, 144] Generated Node #2: [18, 24, 144] from Operation: 91+53=144 Current State: 24:[18, 24, 144], Operations: ['91+53=144'] Exploring Operation: 24-18=6, Resulting Numbers: [144, 6] Generated Node #3: [144, 6] from Operation: 24-18=6 Current State: 24:[144, 6], Operations: ['91+53=144', '24-18=6'] Exploring Operation: 144/6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 56, 52, 8, 76 ]
80
[ "56-52=4", "8+76=84", "84-4=80" ]
Current State: 80:[56, 52, 8, 76], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [8, 76, 4] Generated Node #2: [8, 76, 4] from Operation: 56-52=4 Current State: 80:[8, 76, 4], Operations: ['56-52=4'] Exploring Operation: 8+76=84, Resulting Numbers: [4, 84] Generated Node #3: [4, 84] from Operation: 8+76=84 Current State: 80:[4, 84], Operations: ['56-52=4', '8+76=84'] Exploring Operation: 84-4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 77, 6, 87, 88 ]
84
[ "77+6=83", "88-87=1", "83+1=84" ]
Current State: 84:[77, 6, 87, 88], Operations: [] Exploring Operation: 77+6=83, Resulting Numbers: [87, 88, 83] Generated Node #2: [87, 88, 83] from Operation: 77+6=83 Current State: 84:[87, 88, 83], Operations: ['77+6=83'] Exploring Operation: 88-87=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 88-87=1 Current State: 84:[83, 1], Operations: ['77+6=83', '88-87=1'] Exploring Operation: 83+1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 93, 64, 97, 17 ]
77
[ "93+64=157", "97-17=80", "157-80=77" ]
Current State: 77:[93, 64, 97, 17], Operations: [] Exploring Operation: 93+64=157, Resulting Numbers: [97, 17, 157] Generated Node #2: [97, 17, 157] from Operation: 93+64=157 Current State: 77:[97, 17, 157], Operations: ['93+64=157'] Exploring Operation: 97-17=80, Resulting Numbers: [157, 80] Generated Node #3: [157, 80] from Operation: 97-17=80 Current State: 77:[157, 80], Operations: ['93+64=157', '97-17=80'] Exploring Operation: 157-80=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 47, 56, 2, 16 ]
70
[ "47+16=63", "2*63=126", "126-56=70" ]
Current State: 70:[47, 56, 2, 16], Operations: [] Exploring Operation: 47+16=63, Resulting Numbers: [56, 2, 63] Generated Node #2: [56, 2, 63] from Operation: 47+16=63 Current State: 70:[56, 2, 63], Operations: ['47+16=63'] Exploring Operation: 2*63=126, Resulting Numbers: [56, 126] Generated Node #3: [56, 126] from Operation: 2*63=126 Current State: 70:[56, 126], Operations: ['47+16=63', '2*63=126'] Exploring Operation: 126-56=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 92, 83, 87, 53 ]
43
[ "92-83=9", "87-53=34", "9+34=43" ]
Current State: 43:[92, 83, 87, 53], Operations: [] Exploring Operation: 92-83=9, Resulting Numbers: [87, 53, 9] Generated Node #2: [87, 53, 9] from Operation: 92-83=9 Current State: 43:[87, 53, 9], Operations: ['92-83=9'] Exploring Operation: 87-53=34, Resulting Numbers: [9, 34] Generated Node #3: [9, 34] from Operation: 87-53=34 Current State: 43:[9, 34], Operations: ['92-83=9', '87-53=34'] Exploring Operation: 9+34=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 19, 40, 68, 16 ]
63
[ "40-19=21", "68+16=84", "84-21=63" ]
Current State: 63:[19, 40, 68, 16], Operations: [] Exploring Operation: 40-19=21, Resulting Numbers: [68, 16, 21] Generated Node #2: [68, 16, 21] from Operation: 40-19=21 Current State: 63:[68, 16, 21], Operations: ['40-19=21'] Exploring Operation: 68+16=84, Resulting Numbers: [21, 84] Generated Node #3: [21, 84] from Operation: 68+16=84 Current State: 63:[21, 84], Operations: ['40-19=21', '68+16=84'] Exploring Operation: 84-21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 87, 55, 5, 88 ]
79
[ "55/5=11", "88/11=8", "87-8=79" ]
Current State: 79:[87, 55, 5, 88], Operations: [] Exploring Operation: 55/5=11, Resulting Numbers: [87, 88, 11] Generated Node #2: [87, 88, 11] from Operation: 55/5=11 Current State: 79:[87, 88, 11], Operations: ['55/5=11'] Exploring Operation: 88/11=8, Resulting Numbers: [87, 8] Generated Node #3: [87, 8] from Operation: 88/11=8 Current State: 79:[87, 8], Operations: ['55/5=11', '88/11=8'] Exploring Operation: 87-8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 18, 47, 31, 70 ]
72
[ "47-18=29", "31+70=101", "101-29=72" ]
Current State: 72:[18, 47, 31, 70], Operations: [] Exploring Operation: 47-18=29, Resulting Numbers: [31, 70, 29] Generated Node #2: [31, 70, 29] from Operation: 47-18=29 Current State: 72:[31, 70, 29], Operations: ['47-18=29'] Exploring Operation: 31+70=101, Resulting Numbers: [29, 101] Generated Node #3: [29, 101] from Operation: 31+70=101 Current State: 72:[29, 101], Operations: ['47-18=29', '31+70=101'] Exploring Operation: 101-29=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 97, 99, 69, 31 ]
97
[ "99-69=30", "31-30=1", "97*1=97" ]
Current State: 97:[97, 99, 69, 31], Operations: [] Exploring Operation: 99-69=30, Resulting Numbers: [97, 31, 30] Generated Node #2: [97, 31, 30] from Operation: 99-69=30 Current State: 97:[97, 31, 30], Operations: ['99-69=30'] Exploring Operation: 31-30=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 31-30=1 Current State: 97:[97, 1], Operations: ['99-69=30', '31-30=1'] Exploring Operation: 97*1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 16, 26, 57, 20 ]
39
[ "26-20=6", "16*6=96", "96-57=39" ]
Current State: 39:[16, 26, 57, 20], Operations: [] Exploring Operation: 26-20=6, Resulting Numbers: [16, 57, 6] Generated Node #2: [16, 57, 6] from Operation: 26-20=6 Current State: 39:[16, 57, 6], Operations: ['26-20=6'] Exploring Operation: 16*6=96, Resulting Numbers: [57, 96] Generated Node #3: [57, 96] from Operation: 16*6=96 Current State: 39:[57, 96], Operations: ['26-20=6', '16*6=96'] Exploring Operation: 96-57=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 65, 66, 72, 17 ]
56
[ "66-65=1", "72-17=55", "1+55=56" ]
Current State: 56:[65, 66, 72, 17], Operations: [] Exploring Operation: 66-65=1, Resulting Numbers: [72, 17, 1] Generated Node #2: [72, 17, 1] from Operation: 66-65=1 Current State: 56:[72, 17, 1], Operations: ['66-65=1'] Exploring Operation: 72-17=55, Resulting Numbers: [1, 55] Generated Node #3: [1, 55] from Operation: 72-17=55 Current State: 56:[1, 55], Operations: ['66-65=1', '72-17=55'] Exploring Operation: 1+55=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 99, 42, 57, 34 ]
35
[ "99-42=57", "57/57=1", "34+1=35" ]
Current State: 35:[99, 42, 57, 34], Operations: [] Exploring Operation: 99-42=57, Resulting Numbers: [57, 34, 57] Generated Node #2: [57, 34, 57] from Operation: 99-42=57 Current State: 35:[57, 34, 57], Operations: ['99-42=57'] Exploring Operation: 57/57=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 57/57=1 Current State: 35:[34, 1], Operations: ['99-42=57', '57/57=1'] Exploring Operation: 34+1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 88, 56, 64, 15 ]
65
[ "88+56=144", "64+15=79", "144-79=65" ]
Current State: 65:[88, 56, 64, 15], Operations: [] Exploring Operation: 88+56=144, Resulting Numbers: [64, 15, 144] Generated Node #2: [64, 15, 144] from Operation: 88+56=144 Current State: 65:[64, 15, 144], Operations: ['88+56=144'] Exploring Operation: 64+15=79, Resulting Numbers: [144, 79] Generated Node #3: [144, 79] from Operation: 64+15=79 Current State: 65:[144, 79], Operations: ['88+56=144', '64+15=79'] Exploring Operation: 144-79=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 40, 91, 94, 57 ]
100
[ "91-40=51", "94+57=151", "151-51=100" ]
Current State: 100:[40, 91, 94, 57], Operations: [] Exploring Operation: 91-40=51, Resulting Numbers: [94, 57, 51] Generated Node #2: [94, 57, 51] from Operation: 91-40=51 Current State: 100:[94, 57, 51], Operations: ['91-40=51'] Exploring Operation: 94+57=151, Resulting Numbers: [51, 151] Generated Node #3: [51, 151] from Operation: 94+57=151 Current State: 100:[51, 151], Operations: ['91-40=51', '94+57=151'] Exploring Operation: 151-51=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 55, 3, 40, 60 ]
78
[ "55+3=58", "60-40=20", "58+20=78" ]
Current State: 78:[55, 3, 40, 60], Operations: [] Exploring Operation: 55+3=58, Resulting Numbers: [40, 60, 58] Generated Node #2: [40, 60, 58] from Operation: 55+3=58 Current State: 78:[40, 60, 58], Operations: ['55+3=58'] Exploring Operation: 60-40=20, Resulting Numbers: [58, 20] Generated Node #3: [58, 20] from Operation: 60-40=20 Current State: 78:[58, 20], Operations: ['55+3=58', '60-40=20'] Exploring Operation: 58+20=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 4, 6, 12, 17 ]
90
[ "17-4=13", "6*13=78", "12+78=90" ]
Current State: 90:[4, 6, 12, 17], Operations: [] Exploring Operation: 17-4=13, Resulting Numbers: [6, 12, 13] Generated Node #2: [6, 12, 13] from Operation: 17-4=13 Current State: 90:[6, 12, 13], Operations: ['17-4=13'] Exploring Operation: 6*13=78, Resulting Numbers: [12, 78] Generated Node #3: [12, 78] from Operation: 6*13=78 Current State: 90:[12, 78], Operations: ['17-4=13', '6*13=78'] Exploring Operation: 12+78=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 42, 88, 66, 44 ]
25
[ "42*66=2772", "2772/44=63", "88-63=25" ]
Current State: 25:[42, 88, 66, 44], Operations: [] Exploring Operation: 42*66=2772, Resulting Numbers: [88, 44, 2772] Generated Node #2: [88, 44, 2772] from Operation: 42*66=2772 Current State: 25:[88, 44, 2772], Operations: ['42*66=2772'] Exploring Operation: 2772/44=63, Resulting Numbers: [88, 63] Generated Node #3: [88, 63] from Operation: 2772/44=63 Current State: 25:[88, 63], Operations: ['42*66=2772', '2772/44=63'] Exploring Operation: 88-63=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 57, 1, 51, 6 ]
35
[ "57-51=6", "6*6=36", "36-1=35" ]
Current State: 35:[57, 1, 51, 6], Operations: [] Exploring Operation: 57-51=6, Resulting Numbers: [1, 6, 6] Generated Node #2: [1, 6, 6] from Operation: 57-51=6 Current State: 35:[1, 6, 6], Operations: ['57-51=6'] Exploring Operation: 6*6=36, Resulting Numbers: [1, 36] Generated Node #3: [1, 36] from Operation: 6*6=36 Current State: 35:[1, 36], Operations: ['57-51=6', '6*6=36'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 93, 80, 26, 37 ]
24
[ "93-80=13", "37-26=11", "13+11=24" ]
Current State: 24:[93, 80, 26, 37], Operations: [] Exploring Operation: 93-80=13, Resulting Numbers: [26, 37, 13] Generated Node #2: [26, 37, 13] from Operation: 93-80=13 Current State: 24:[26, 37, 13], Operations: ['93-80=13'] Exploring Operation: 37-26=11, Resulting Numbers: [13, 11] Generated Node #3: [13, 11] from Operation: 37-26=11 Current State: 24:[13, 11], Operations: ['93-80=13', '37-26=11'] Exploring Operation: 13+11=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 84, 93, 65, 68 ]
71
[ "93-65=28", "84/28=3", "68+3=71" ]
Current State: 71:[84, 93, 65, 68], Operations: [] Exploring Operation: 93-65=28, Resulting Numbers: [84, 68, 28] Generated Node #2: [84, 68, 28] from Operation: 93-65=28 Current State: 71:[84, 68, 28], Operations: ['93-65=28'] Exploring Operation: 84/28=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 84/28=3 Current State: 71:[68, 3], Operations: ['93-65=28', '84/28=3'] Exploring Operation: 68+3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 8, 23, 94, 4 ]
73
[ "8/4=2", "94-23=71", "2+71=73" ]
Current State: 73:[8, 23, 94, 4], Operations: [] Exploring Operation: 8/4=2, Resulting Numbers: [23, 94, 2] Generated Node #2: [23, 94, 2] from Operation: 8/4=2 Current State: 73:[23, 94, 2], Operations: ['8/4=2'] Exploring Operation: 94-23=71, Resulting Numbers: [2, 71] Generated Node #3: [2, 71] from Operation: 94-23=71 Current State: 73:[2, 71], Operations: ['8/4=2', '94-23=71'] Exploring Operation: 2+71=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 49, 24, 32, 58 ]
99
[ "49+24=73", "58-32=26", "73+26=99" ]
Current State: 99:[49, 24, 32, 58], Operations: [] Exploring Operation: 49+24=73, Resulting Numbers: [32, 58, 73] Generated Node #2: [32, 58, 73] from Operation: 49+24=73 Current State: 99:[32, 58, 73], Operations: ['49+24=73'] Exploring Operation: 58-32=26, Resulting Numbers: [73, 26] Generated Node #3: [73, 26] from Operation: 58-32=26 Current State: 99:[73, 26], Operations: ['49+24=73', '58-32=26'] Exploring Operation: 73+26=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 99, 61, 27, 28 ]
30
[ "61-28=33", "99/33=3", "27+3=30" ]
Current State: 30:[99, 61, 27, 28], Operations: [] Exploring Operation: 61-28=33, Resulting Numbers: [99, 27, 33] Generated Node #2: [99, 27, 33] from Operation: 61-28=33 Current State: 30:[99, 27, 33], Operations: ['61-28=33'] Exploring Operation: 99/33=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 99/33=3 Current State: 30:[27, 3], Operations: ['61-28=33', '99/33=3'] Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 78, 9, 89, 16 ]
14
[ "78+9=87", "89-16=73", "87-73=14" ]
Current State: 14:[78, 9, 89, 16], Operations: [] Exploring Operation: 78+9=87, Resulting Numbers: [89, 16, 87] Generated Node #2: [89, 16, 87] from Operation: 78+9=87 Current State: 14:[89, 16, 87], Operations: ['78+9=87'] Exploring Operation: 89-16=73, Resulting Numbers: [87, 73] Generated Node #3: [87, 73] from Operation: 89-16=73 Current State: 14:[87, 73], Operations: ['78+9=87', '89-16=73'] Exploring Operation: 87-73=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 74, 26, 90, 19 ]
29
[ "74+26=100", "90-19=71", "100-71=29" ]
Current State: 29:[74, 26, 90, 19], Operations: [] Exploring Operation: 74+26=100, Resulting Numbers: [90, 19, 100] Generated Node #2: [90, 19, 100] from Operation: 74+26=100 Current State: 29:[90, 19, 100], Operations: ['74+26=100'] Exploring Operation: 90-19=71, Resulting Numbers: [100, 71] Generated Node #3: [100, 71] from Operation: 90-19=71 Current State: 29:[100, 71], Operations: ['74+26=100', '90-19=71'] Exploring Operation: 100-71=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 50, 25, 66, 90 ]
51
[ "50+25=75", "90-66=24", "75-24=51" ]
Current State: 51:[50, 25, 66, 90], Operations: [] Exploring Operation: 50+25=75, Resulting Numbers: [66, 90, 75] Generated Node #2: [66, 90, 75] from Operation: 50+25=75 Current State: 51:[66, 90, 75], Operations: ['50+25=75'] Exploring Operation: 90-66=24, Resulting Numbers: [75, 24] Generated Node #3: [75, 24] from Operation: 90-66=24 Current State: 51:[75, 24], Operations: ['50+25=75', '90-66=24'] Exploring Operation: 75-24=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 42, 25, 7, 97 ]
87
[ "42-25=17", "7+97=104", "104-17=87" ]
Current State: 87:[42, 25, 7, 97], Operations: [] Exploring Operation: 42-25=17, Resulting Numbers: [7, 97, 17] Generated Node #2: [7, 97, 17] from Operation: 42-25=17 Current State: 87:[7, 97, 17], Operations: ['42-25=17'] Exploring Operation: 7+97=104, Resulting Numbers: [17, 104] Generated Node #3: [17, 104] from Operation: 7+97=104 Current State: 87:[17, 104], Operations: ['42-25=17', '7+97=104'] Exploring Operation: 104-17=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 11, 25, 20, 33 ]
72
[ "20-11=9", "33-25=8", "9*8=72" ]
Current State: 72:[11, 25, 20, 33], Operations: [] Exploring Operation: 20-11=9, Resulting Numbers: [25, 33, 9] Generated Node #2: [25, 33, 9] from Operation: 20-11=9 Current State: 72:[25, 33, 9], Operations: ['20-11=9'] Exploring Operation: 33-25=8, Resulting Numbers: [9, 8] Generated Node #3: [9, 8] from Operation: 33-25=8 Current State: 72:[9, 8], Operations: ['20-11=9', '33-25=8'] Exploring Operation: 9*8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 59, 72, 58, 20 ]
52
[ "59-58=1", "72-20=52", "1*52=52" ]
Current State: 52:[59, 72, 58, 20], Operations: [] Exploring Operation: 59-58=1, Resulting Numbers: [72, 20, 1] Generated Node #2: [72, 20, 1] from Operation: 59-58=1 Current State: 52:[72, 20, 1], Operations: ['59-58=1'] Exploring Operation: 72-20=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 72-20=52 Current State: 52:[1, 52], Operations: ['59-58=1', '72-20=52'] Exploring Operation: 1*52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 52, 81, 4, 30 ]
98
[ "52/4=13", "81+30=111", "111-13=98" ]
Current State: 98:[52, 81, 4, 30], Operations: [] Exploring Operation: 52/4=13, Resulting Numbers: [81, 30, 13] Generated Node #2: [81, 30, 13] from Operation: 52/4=13 Current State: 98:[81, 30, 13], Operations: ['52/4=13'] Exploring Operation: 81+30=111, Resulting Numbers: [13, 111] Generated Node #3: [13, 111] from Operation: 81+30=111 Current State: 98:[13, 111], Operations: ['52/4=13', '81+30=111'] Exploring Operation: 111-13=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 1, 26, 55, 42 ]
72
[ "26-1=25", "55+42=97", "97-25=72" ]
Current State: 72:[1, 26, 55, 42], Operations: [] Exploring Operation: 26-1=25, Resulting Numbers: [55, 42, 25] Generated Node #2: [55, 42, 25] from Operation: 26-1=25 Current State: 72:[55, 42, 25], Operations: ['26-1=25'] Exploring Operation: 55+42=97, Resulting Numbers: [25, 97] Generated Node #3: [25, 97] from Operation: 55+42=97 Current State: 72:[25, 97], Operations: ['26-1=25', '55+42=97'] Exploring Operation: 97-25=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 81, 98, 21, 41 ]
37
[ "98-81=17", "41-21=20", "17+20=37" ]
Current State: 37:[81, 98, 21, 41], Operations: [] Exploring Operation: 98-81=17, Resulting Numbers: [21, 41, 17] Generated Node #2: [21, 41, 17] from Operation: 98-81=17 Current State: 37:[21, 41, 17], Operations: ['98-81=17'] Exploring Operation: 41-21=20, Resulting Numbers: [17, 20] Generated Node #3: [17, 20] from Operation: 41-21=20 Current State: 37:[17, 20], Operations: ['98-81=17', '41-21=20'] Exploring Operation: 17+20=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 46, 29, 22, 6 ]
59
[ "46+29=75", "22-6=16", "75-16=59" ]
Current State: 59:[46, 29, 22, 6], Operations: [] Exploring Operation: 46+29=75, Resulting Numbers: [22, 6, 75] Generated Node #2: [22, 6, 75] from Operation: 46+29=75 Current State: 59:[22, 6, 75], Operations: ['46+29=75'] Exploring Operation: 22-6=16, Resulting Numbers: [75, 16] Generated Node #3: [75, 16] from Operation: 22-6=16 Current State: 59:[75, 16], Operations: ['46+29=75', '22-6=16'] Exploring Operation: 75-16=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 69, 72, 31, 60 ]
51
[ "72-69=3", "60/3=20", "31+20=51" ]
Current State: 51:[69, 72, 31, 60], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [31, 60, 3] Generated Node #2: [31, 60, 3] from Operation: 72-69=3 Current State: 51:[31, 60, 3], Operations: ['72-69=3'] Exploring Operation: 60/3=20, Resulting Numbers: [31, 20] Generated Node #3: [31, 20] from Operation: 60/3=20 Current State: 51:[31, 20], Operations: ['72-69=3', '60/3=20'] Exploring Operation: 31+20=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 68, 82, 18, 20 ]
71
[ "68*20=1360", "1360-82=1278", "1278/18=71" ]
Current State: 71:[68, 82, 18, 20], Operations: [] Exploring Operation: 68*20=1360, Resulting Numbers: [82, 18, 1360] Generated Node #2: [82, 18, 1360] from Operation: 68*20=1360 Current State: 71:[82, 18, 1360], Operations: ['68*20=1360'] Exploring Operation: 1360-82=1278, Resulting Numbers: [18, 1278] Generated Node #3: [18, 1278] from Operation: 1360-82=1278 Current State: 71:[18, 1278], Operations: ['68*20=1360', '1360-82=1278'] Exploring Operation: 1278/18=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 64, 69, 30, 3 ]
45
[ "69-64=5", "3*5=15", "30+15=45" ]
Current State: 45:[64, 69, 30, 3], Operations: [] Exploring Operation: 69-64=5, Resulting Numbers: [30, 3, 5] Generated Node #2: [30, 3, 5] from Operation: 69-64=5 Current State: 45:[30, 3, 5], Operations: ['69-64=5'] Exploring Operation: 3*5=15, Resulting Numbers: [30, 15] Generated Node #3: [30, 15] from Operation: 3*5=15 Current State: 45:[30, 15], Operations: ['69-64=5', '3*5=15'] Exploring Operation: 30+15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 23, 25, 22, 47 ]
91
[ "25-23=2", "22*2=44", "47+44=91" ]
Current State: 91:[23, 25, 22, 47], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [22, 47, 2] Generated Node #2: [22, 47, 2] from Operation: 25-23=2 Current State: 91:[22, 47, 2], Operations: ['25-23=2'] Exploring Operation: 22*2=44, Resulting Numbers: [47, 44] Generated Node #3: [47, 44] from Operation: 22*2=44 Current State: 91:[47, 44], Operations: ['25-23=2', '22*2=44'] Exploring Operation: 47+44=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 32, 46, 17, 33 ]
30
[ "46-32=14", "33-17=16", "14+16=30" ]
Current State: 30:[32, 46, 17, 33], Operations: [] Exploring Operation: 46-32=14, Resulting Numbers: [17, 33, 14] Generated Node #2: [17, 33, 14] from Operation: 46-32=14 Current State: 30:[17, 33, 14], Operations: ['46-32=14'] Exploring Operation: 33-17=16, Resulting Numbers: [14, 16] Generated Node #3: [14, 16] from Operation: 33-17=16 Current State: 30:[14, 16], Operations: ['46-32=14', '33-17=16'] Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 43, 51, 67, 95 ]
36
[ "51-43=8", "95-67=28", "8+28=36" ]
Current State: 36:[43, 51, 67, 95], Operations: [] Exploring Operation: 51-43=8, Resulting Numbers: [67, 95, 8] Generated Node #2: [67, 95, 8] from Operation: 51-43=8 Current State: 36:[67, 95, 8], Operations: ['51-43=8'] Exploring Operation: 95-67=28, Resulting Numbers: [8, 28] Generated Node #3: [8, 28] from Operation: 95-67=28 Current State: 36:[8, 28], Operations: ['51-43=8', '95-67=28'] Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 26, 13, 25, 67 ]
84
[ "26/13=2", "67-25=42", "2*42=84" ]
Current State: 84:[26, 13, 25, 67], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [25, 67, 2] Generated Node #2: [25, 67, 2] from Operation: 26/13=2 Current State: 84:[25, 67, 2], Operations: ['26/13=2'] Exploring Operation: 67-25=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 67-25=42 Current State: 84:[2, 42], Operations: ['26/13=2', '67-25=42'] Exploring Operation: 2*42=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 34, 90, 3, 47 ]
57
[ "34+90=124", "47+124=171", "171/3=57" ]
Current State: 57:[34, 90, 3, 47], Operations: [] Exploring Operation: 34+90=124, Resulting Numbers: [3, 47, 124] Generated Node #2: [3, 47, 124] from Operation: 34+90=124 Current State: 57:[3, 47, 124], Operations: ['34+90=124'] Exploring Operation: 47+124=171, Resulting Numbers: [3, 171] Generated Node #3: [3, 171] from Operation: 47+124=171 Current State: 57:[3, 171], Operations: ['34+90=124', '47+124=171'] Exploring Operation: 171/3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 10, 10, 38, 34 ]
92
[ "10+10=20", "38+34=72", "20+72=92" ]
Current State: 92:[10, 10, 38, 34], Operations: [] Exploring Operation: 10+10=20, Resulting Numbers: [38, 34, 20] Generated Node #2: [38, 34, 20] from Operation: 10+10=20 Current State: 92:[38, 34, 20], Operations: ['10+10=20'] Exploring Operation: 38+34=72, Resulting Numbers: [20, 72] Generated Node #3: [20, 72] from Operation: 38+34=72 Current State: 92:[20, 72], Operations: ['10+10=20', '38+34=72'] Exploring Operation: 20+72=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 96, 53, 32, 42 ]
75
[ "96+53=149", "32+42=74", "149-74=75" ]
Current State: 75:[96, 53, 32, 42], Operations: [] Exploring Operation: 96+53=149, Resulting Numbers: [32, 42, 149] Generated Node #2: [32, 42, 149] from Operation: 96+53=149 Current State: 75:[32, 42, 149], Operations: ['96+53=149'] Exploring Operation: 32+42=74, Resulting Numbers: [149, 74] Generated Node #3: [149, 74] from Operation: 32+42=74 Current State: 75:[149, 74], Operations: ['96+53=149', '32+42=74'] Exploring Operation: 149-74=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 17, 41, 22, 28 ]
52
[ "17+41=58", "28-22=6", "58-6=52" ]
Current State: 52:[17, 41, 22, 28], Operations: [] Exploring Operation: 17+41=58, Resulting Numbers: [22, 28, 58] Generated Node #2: [22, 28, 58] from Operation: 17+41=58 Current State: 52:[22, 28, 58], Operations: ['17+41=58'] Exploring Operation: 28-22=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 28-22=6 Current State: 52:[58, 6], Operations: ['17+41=58', '28-22=6'] Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 36, 89, 26, 2 ]
43
[ "36*2=72", "89+26=115", "115-72=43" ]
Current State: 43:[36, 89, 26, 2], Operations: [] Exploring Operation: 36*2=72, Resulting Numbers: [89, 26, 72] Generated Node #2: [89, 26, 72] from Operation: 36*2=72 Current State: 43:[89, 26, 72], Operations: ['36*2=72'] Exploring Operation: 89+26=115, Resulting Numbers: [72, 115] Generated Node #3: [72, 115] from Operation: 89+26=115 Current State: 43:[72, 115], Operations: ['36*2=72', '89+26=115'] Exploring Operation: 115-72=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 47, 70, 89, 20 ]
12
[ "89-47=42", "20*42=840", "840/70=12" ]
Current State: 12:[47, 70, 89, 20], Operations: [] Exploring Operation: 89-47=42, Resulting Numbers: [70, 20, 42] Generated Node #2: [70, 20, 42] from Operation: 89-47=42 Current State: 12:[70, 20, 42], Operations: ['89-47=42'] Exploring Operation: 20*42=840, Resulting Numbers: [70, 840] Generated Node #3: [70, 840] from Operation: 20*42=840 Current State: 12:[70, 840], Operations: ['89-47=42', '20*42=840'] Exploring Operation: 840/70=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 52, 65, 54, 47 ]
49
[ "65-47=18", "54/18=3", "52-3=49" ]
Current State: 49:[52, 65, 54, 47], Operations: [] Exploring Operation: 65-47=18, Resulting Numbers: [52, 54, 18] Generated Node #2: [52, 54, 18] from Operation: 65-47=18 Current State: 49:[52, 54, 18], Operations: ['65-47=18'] Exploring Operation: 54/18=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 54/18=3 Current State: 49:[52, 3], Operations: ['65-47=18', '54/18=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 77, 96, 24, 23 ]
50
[ "77-23=54", "96/24=4", "54-4=50" ]
Current State: 50:[77, 96, 24, 23], Operations: [] Exploring Operation: 77-23=54, Resulting Numbers: [96, 24, 54] Generated Node #2: [96, 24, 54] from Operation: 77-23=54 Current State: 50:[96, 24, 54], Operations: ['77-23=54'] Exploring Operation: 96/24=4, Resulting Numbers: [54, 4] Generated Node #3: [54, 4] from Operation: 96/24=4 Current State: 50:[54, 4], Operations: ['77-23=54', '96/24=4'] Exploring Operation: 54-4=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 64, 56, 8, 93 ]
22
[ "93-64=29", "56/8=7", "29-7=22" ]
Current State: 22:[64, 56, 8, 93], Operations: [] Exploring Operation: 93-64=29, Resulting Numbers: [56, 8, 29] Generated Node #2: [56, 8, 29] from Operation: 93-64=29 Current State: 22:[56, 8, 29], Operations: ['93-64=29'] Exploring Operation: 56/8=7, Resulting Numbers: [29, 7] Generated Node #3: [29, 7] from Operation: 56/8=7 Current State: 22:[29, 7], Operations: ['93-64=29', '56/8=7'] Exploring Operation: 29-7=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 66, 61, 88, 60 ]
100
[ "66-61=5", "60/5=12", "88+12=100" ]
Current State: 100:[66, 61, 88, 60], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [88, 60, 5] Generated Node #2: [88, 60, 5] from Operation: 66-61=5 Current State: 100:[88, 60, 5], Operations: ['66-61=5'] Exploring Operation: 60/5=12, Resulting Numbers: [88, 12] Generated Node #3: [88, 12] from Operation: 60/5=12 Current State: 100:[88, 12], Operations: ['66-61=5', '60/5=12'] Exploring Operation: 88+12=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 15, 70, 33, 26 ]
48
[ "70-15=55", "33-26=7", "55-7=48" ]
Current State: 48:[15, 70, 33, 26], Operations: [] Exploring Operation: 70-15=55, Resulting Numbers: [33, 26, 55] Generated Node #2: [33, 26, 55] from Operation: 70-15=55 Current State: 48:[33, 26, 55], Operations: ['70-15=55'] Exploring Operation: 33-26=7, Resulting Numbers: [55, 7] Generated Node #3: [55, 7] from Operation: 33-26=7 Current State: 48:[55, 7], Operations: ['70-15=55', '33-26=7'] Exploring Operation: 55-7=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 47, 5, 68, 10 ]
21
[ "47+68=115", "115-10=105", "105/5=21" ]
Current State: 21:[47, 5, 68, 10], Operations: [] Exploring Operation: 47+68=115, Resulting Numbers: [5, 10, 115] Generated Node #2: [5, 10, 115] from Operation: 47+68=115 Current State: 21:[5, 10, 115], Operations: ['47+68=115'] Exploring Operation: 115-10=105, Resulting Numbers: [5, 105] Generated Node #3: [5, 105] from Operation: 115-10=105 Current State: 21:[5, 105], Operations: ['47+68=115', '115-10=105'] Exploring Operation: 105/5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 60, 25, 50, 17 ]
68
[ "60-25=35", "50-17=33", "35+33=68" ]
Current State: 68:[60, 25, 50, 17], Operations: [] Exploring Operation: 60-25=35, Resulting Numbers: [50, 17, 35] Generated Node #2: [50, 17, 35] from Operation: 60-25=35 Current State: 68:[50, 17, 35], Operations: ['60-25=35'] Exploring Operation: 50-17=33, Resulting Numbers: [35, 33] Generated Node #3: [35, 33] from Operation: 50-17=33 Current State: 68:[35, 33], Operations: ['60-25=35', '50-17=33'] Exploring Operation: 35+33=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 34, 29, 87, 80 ]
35
[ "34-29=5", "87-80=7", "5*7=35" ]
Current State: 35:[34, 29, 87, 80], Operations: [] Exploring Operation: 34-29=5, Resulting Numbers: [87, 80, 5] Generated Node #2: [87, 80, 5] from Operation: 34-29=5 Current State: 35:[87, 80, 5], Operations: ['34-29=5'] Exploring Operation: 87-80=7, Resulting Numbers: [5, 7] Generated Node #3: [5, 7] from Operation: 87-80=7 Current State: 35:[5, 7], Operations: ['34-29=5', '87-80=7'] Exploring Operation: 5*7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 59, 55, 88, 42 ]
50
[ "59-55=4", "88-42=46", "4+46=50" ]
Current State: 50:[59, 55, 88, 42], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [88, 42, 4] Generated Node #2: [88, 42, 4] from Operation: 59-55=4 Current State: 50:[88, 42, 4], Operations: ['59-55=4'] Exploring Operation: 88-42=46, Resulting Numbers: [4, 46] Generated Node #3: [4, 46] from Operation: 88-42=46 Current State: 50:[4, 46], Operations: ['59-55=4', '88-42=46'] Exploring Operation: 4+46=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 31, 26, 57, 59 ]
55
[ "31+26=57", "59-57=2", "57-2=55" ]
Current State: 55:[31, 26, 57, 59], Operations: [] Exploring Operation: 31+26=57, Resulting Numbers: [57, 59, 57] Generated Node #2: [57, 59, 57] from Operation: 31+26=57 Current State: 55:[57, 59, 57], Operations: ['31+26=57'] Exploring Operation: 59-57=2, Resulting Numbers: [2] 2,55 equal: Goal Reached Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 51, 1, 12, 16 ]
79
[ "51*1=51", "12+16=28", "51+28=79" ]
Current State: 79:[51, 1, 12, 16], Operations: [] Exploring Operation: 51*1=51, Resulting Numbers: [12, 16, 51] Generated Node #2: [12, 16, 51] from Operation: 51*1=51 Current State: 79:[12, 16, 51], Operations: ['51*1=51'] Exploring Operation: 12+16=28, Resulting Numbers: [51, 28] Generated Node #3: [51, 28] from Operation: 12+16=28 Current State: 79:[51, 28], Operations: ['51*1=51', '12+16=28'] Exploring Operation: 51+28=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 64, 2, 16, 47 ]
86
[ "64/16=4", "47-4=43", "2*43=86" ]
Current State: 86:[64, 2, 16, 47], Operations: [] Exploring Operation: 64/16=4, Resulting Numbers: [2, 47, 4] Generated Node #2: [2, 47, 4] from Operation: 64/16=4 Current State: 86:[2, 47, 4], Operations: ['64/16=4'] Exploring Operation: 47-4=43, Resulting Numbers: [2, 43] Generated Node #3: [2, 43] from Operation: 47-4=43 Current State: 86:[2, 43], Operations: ['64/16=4', '47-4=43'] Exploring Operation: 2*43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 33, 18, 7, 98 ]
76
[ "33-18=15", "98-7=91", "91-15=76" ]
Current State: 76:[33, 18, 7, 98], Operations: [] Exploring Operation: 33-18=15, Resulting Numbers: [7, 98, 15] Generated Node #2: [7, 98, 15] from Operation: 33-18=15 Current State: 76:[7, 98, 15], Operations: ['33-18=15'] Exploring Operation: 98-7=91, Resulting Numbers: [15, 91] Generated Node #3: [15, 91] from Operation: 98-7=91 Current State: 76:[15, 91], Operations: ['33-18=15', '98-7=91'] Exploring Operation: 91-15=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 29, 35, 55, 42 ]
37
[ "29+55=84", "84/42=2", "35+2=37" ]
Current State: 37:[29, 35, 55, 42], Operations: [] Exploring Operation: 29+55=84, Resulting Numbers: [35, 42, 84] Generated Node #2: [35, 42, 84] from Operation: 29+55=84 Current State: 37:[35, 42, 84], Operations: ['29+55=84'] Exploring Operation: 84/42=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 84/42=2 Current State: 37:[35, 2], Operations: ['29+55=84', '84/42=2'] Exploring Operation: 35+2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 30, 21, 39, 32 ]
34
[ "21+39=60", "60/30=2", "32+2=34" ]
Current State: 34:[30, 21, 39, 32], Operations: [] Exploring Operation: 21+39=60, Resulting Numbers: [30, 32, 60] Generated Node #2: [30, 32, 60] from Operation: 21+39=60 Current State: 34:[30, 32, 60], Operations: ['21+39=60'] Exploring Operation: 60/30=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 60/30=2 Current State: 34:[32, 2], Operations: ['21+39=60', '60/30=2'] Exploring Operation: 32+2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 91, 38, 16, 24 ]
89
[ "91+38=129", "16+24=40", "129-40=89" ]
Current State: 89:[91, 38, 16, 24], Operations: [] Exploring Operation: 91+38=129, Resulting Numbers: [16, 24, 129] Generated Node #2: [16, 24, 129] from Operation: 91+38=129 Current State: 89:[16, 24, 129], Operations: ['91+38=129'] Exploring Operation: 16+24=40, Resulting Numbers: [129, 40] Generated Node #3: [129, 40] from Operation: 16+24=40 Current State: 89:[129, 40], Operations: ['91+38=129', '16+24=40'] Exploring Operation: 129-40=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 40, 17, 7, 39 ]
23
[ "40-17=23", "7+39=46", "46-23=23" ]
Current State: 23:[40, 17, 7, 39], Operations: [] Exploring Operation: 40-17=23, Resulting Numbers: [7, 39, 23] Generated Node #2: [7, 39, 23] from Operation: 40-17=23 Current State: 23:[7, 39, 23], Operations: ['40-17=23'] Exploring Operation: 7+39=46, Resulting Numbers: [23, 46] Generated Node #3: [23, 46] from Operation: 7+39=46 Current State: 23:[23, 46], Operations: ['40-17=23', '7+39=46'] Exploring Operation: 46-23=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 67, 77, 14, 35 ]
59
[ "77-67=10", "14+35=49", "10+49=59" ]
Current State: 59:[67, 77, 14, 35], Operations: [] Exploring Operation: 77-67=10, Resulting Numbers: [14, 35, 10] Generated Node #2: [14, 35, 10] from Operation: 77-67=10 Current State: 59:[14, 35, 10], Operations: ['77-67=10'] Exploring Operation: 14+35=49, Resulting Numbers: [10, 49] Generated Node #3: [10, 49] from Operation: 14+35=49 Current State: 59:[10, 49], Operations: ['77-67=10', '14+35=49'] Exploring Operation: 10+49=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 31, 3, 58, 56 ]
65
[ "58-31=27", "27/3=9", "56+9=65" ]
Current State: 65:[31, 3, 58, 56], Operations: [] Exploring Operation: 58-31=27, Resulting Numbers: [3, 56, 27] Generated Node #2: [3, 56, 27] from Operation: 58-31=27 Current State: 65:[3, 56, 27], Operations: ['58-31=27'] Exploring Operation: 27/3=9, Resulting Numbers: [56, 9] Generated Node #3: [56, 9] from Operation: 27/3=9 Current State: 65:[56, 9], Operations: ['58-31=27', '27/3=9'] Exploring Operation: 56+9=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 14, 94, 6, 15 ]
18
[ "14+94=108", "6*15=90", "108-90=18" ]
Current State: 18:[14, 94, 6, 15], Operations: [] Exploring Operation: 14+94=108, Resulting Numbers: [6, 15, 108] Generated Node #2: [6, 15, 108] from Operation: 14+94=108 Current State: 18:[6, 15, 108], Operations: ['14+94=108'] Exploring Operation: 6*15=90, Resulting Numbers: [108, 90] Generated Node #3: [108, 90] from Operation: 6*15=90 Current State: 18:[108, 90], Operations: ['14+94=108', '6*15=90'] Exploring Operation: 108-90=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 84, 44, 52, 88 ]
76
[ "84-44=40", "88-52=36", "40+36=76" ]
Current State: 76:[84, 44, 52, 88], Operations: [] Exploring Operation: 84-44=40, Resulting Numbers: [52, 88, 40] Generated Node #2: [52, 88, 40] from Operation: 84-44=40 Current State: 76:[52, 88, 40], Operations: ['84-44=40'] Exploring Operation: 88-52=36, Resulting Numbers: [40, 36] Generated Node #3: [40, 36] from Operation: 88-52=36 Current State: 76:[40, 36], Operations: ['84-44=40', '88-52=36'] Exploring Operation: 40+36=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 76, 4, 80, 84 ]
77
[ "4+80=84", "84/84=1", "76+1=77" ]
Current State: 77:[76, 4, 80, 84], Operations: [] Exploring Operation: 4+80=84, Resulting Numbers: [76, 84, 84] Generated Node #2: [76, 84, 84] from Operation: 4+80=84 Current State: 77:[76, 84, 84], Operations: ['4+80=84'] Exploring Operation: 84/84=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 84/84=1 Current State: 77:[76, 1], Operations: ['4+80=84', '84/84=1'] Exploring Operation: 76+1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4