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
[ 48, 44, 71, 24 ]
51
[ "48-44=4", "71-24=47", "4+47=51" ]
Current State: 51:[48, 44, 71, 24], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [71, 24, 4] Generated Node #2: [71, 24, 4] from Operation: 48-44=4 Current State: 51:[71, 24, 4], Operations: ['48-44=4'] Exploring Operation: 71-24=47, Resulting Numbers: [4, 47] Generated Node #3: [4, 47] from Operation: 71-24=47 Current State: 51:[4, 47], Operations: ['48-44=4', '71-24=47'] Exploring Operation: 4+47=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 3, 27, 96, 9 ]
62
[ "96+9=105", "105/3=35", "27+35=62" ]
Current State: 62:[3, 27, 96, 9], Operations: [] Exploring Operation: 96+9=105, Resulting Numbers: [3, 27, 105] Generated Node #2: [3, 27, 105] from Operation: 96+9=105 Current State: 62:[3, 27, 105], Operations: ['96+9=105'] Exploring Operation: 105/3=35, Resulting Numbers: [27, 35] Generated Node #3: [27, 35] from Operation: 105/3=35 Current State: 62:[27, 35], Operations: ['96+9=105', '105/3=35'] Exploring Operation: 27+35=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 45, 12, 14, 16 ]
35
[ "45-12=33", "16-14=2", "33+2=35" ]
Current State: 35:[45, 12, 14, 16], Operations: [] Exploring Operation: 45-12=33, Resulting Numbers: [14, 16, 33] Generated Node #2: [14, 16, 33] from Operation: 45-12=33 Current State: 35:[14, 16, 33], Operations: ['45-12=33'] Exploring Operation: 16-14=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 16-14=2 Current State: 35:[33, 2], Operations: ['45-12=33', '16-14=2'] Exploring Operation: 33+2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 38, 60, 95, 8 ]
80
[ "95*8=760", "760/38=20", "60+20=80" ]
Current State: 80:[38, 60, 95, 8], Operations: [] Exploring Operation: 95*8=760, Resulting Numbers: [38, 60, 760] Generated Node #2: [38, 60, 760] from Operation: 95*8=760 Current State: 80:[38, 60, 760], Operations: ['95*8=760'] Exploring Operation: 760/38=20, Resulting Numbers: [60, 20] Generated Node #3: [60, 20] from Operation: 760/38=20 Current State: 80:[60, 20], Operations: ['95*8=760', '760/38=20'] Exploring Operation: 60+20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 45, 76, 51, 87 ]
95
[ "45*76=3420", "87-51=36", "3420/36=95" ]
Current State: 95:[45, 76, 51, 87], Operations: [] Exploring Operation: 45*76=3420, Resulting Numbers: [51, 87, 3420] Generated Node #2: [51, 87, 3420] from Operation: 45*76=3420 Current State: 95:[51, 87, 3420], Operations: ['45*76=3420'] Exploring Operation: 87-51=36, Resulting Numbers: [3420, 36] Generated Node #3: [3420, 36] from Operation: 87-51=36 Current State: 95:[3420, 36], Operations: ['45*76=3420', '87-51=36'] Exploring Operation: 3420/36=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 50, 11, 47, 62 ]
17
[ "50-47=3", "62-11=51", "51/3=17" ]
Current State: 17:[50, 11, 47, 62], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [11, 62, 3] Generated Node #2: [11, 62, 3] from Operation: 50-47=3 Current State: 17:[11, 62, 3], Operations: ['50-47=3'] Exploring Operation: 62-11=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 62-11=51 Current State: 17:[3, 51], Operations: ['50-47=3', '62-11=51'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 60, 38, 80, 18 ]
42
[ "38+18=56", "60*56=3360", "3360/80=42" ]
Current State: 42:[60, 38, 80, 18], Operations: [] Exploring Operation: 38+18=56, Resulting Numbers: [60, 80, 56] Generated Node #2: [60, 80, 56] from Operation: 38+18=56 Current State: 42:[60, 80, 56], Operations: ['38+18=56'] Exploring Operation: 60*56=3360, Resulting Numbers: [80, 3360] Generated Node #3: [80, 3360] from Operation: 60*56=3360 Current State: 42:[80, 3360], Operations: ['38+18=56', '60*56=3360'] Exploring Operation: 3360/80=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 41, 83, 59, 70 ]
31
[ "83-41=42", "70-59=11", "42-11=31" ]
Current State: 31:[41, 83, 59, 70], Operations: [] Exploring Operation: 83-41=42, Resulting Numbers: [59, 70, 42] Generated Node #2: [59, 70, 42] from Operation: 83-41=42 Current State: 31:[59, 70, 42], Operations: ['83-41=42'] Exploring Operation: 70-59=11, Resulting Numbers: [42, 11] Generated Node #3: [42, 11] from Operation: 70-59=11 Current State: 31:[42, 11], Operations: ['83-41=42', '70-59=11'] Exploring Operation: 42-11=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 1, 29, 1, 30 ]
58
[ "1*29=29", "30-1=29", "29+29=58" ]
Current State: 58:[1, 29, 1, 30], Operations: [] Exploring Operation: 1*29=29, Resulting Numbers: [30, 29] Generated Node #2: [30, 29] from Operation: 1*29=29 Current State: 58:[30, 29], Operations: ['1*29=29'] Exploring Operation: 30-1=29, Resulting Numbers: [29, 29] Generated Node #3: [29, 29] from Operation: 30-1=29 Current State: 58:[29, 29], Operations: ['1*29=29', '30-1=29'] Exploring Operation: 29+29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 91, 93, 17, 31 ]
12
[ "93-91=2", "31-17=14", "14-2=12" ]
Current State: 12:[91, 93, 17, 31], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [17, 31, 2] Generated Node #2: [17, 31, 2] from Operation: 93-91=2 Current State: 12:[17, 31, 2], Operations: ['93-91=2'] Exploring Operation: 31-17=14, Resulting Numbers: [2, 14] Generated Node #3: [2, 14] from Operation: 31-17=14 Current State: 12:[2, 14], Operations: ['93-91=2', '31-17=14'] Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 7, 89, 4, 72 ]
64
[ "89-7=82", "72/4=18", "82-18=64" ]
Current State: 64:[7, 89, 4, 72], Operations: [] Exploring Operation: 89-7=82, Resulting Numbers: [4, 72, 82] Generated Node #2: [4, 72, 82] from Operation: 89-7=82 Current State: 64:[4, 72, 82], Operations: ['89-7=82'] Exploring Operation: 72/4=18, Resulting Numbers: [82, 18] Generated Node #3: [82, 18] from Operation: 72/4=18 Current State: 64:[82, 18], Operations: ['89-7=82', '72/4=18'] Exploring Operation: 82-18=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 64, 62, 52, 58 ]
29
[ "64+52=116", "62-58=4", "116/4=29" ]
Current State: 29:[64, 62, 52, 58], Operations: [] Exploring Operation: 64+52=116, Resulting Numbers: [62, 58, 116] Generated Node #2: [62, 58, 116] from Operation: 64+52=116 Current State: 29:[62, 58, 116], Operations: ['64+52=116'] Exploring Operation: 62-58=4, Resulting Numbers: [116, 4] Generated Node #3: [116, 4] from Operation: 62-58=4 Current State: 29:[116, 4], Operations: ['64+52=116', '62-58=4'] Exploring Operation: 116/4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 91, 33, 20, 34 ]
70
[ "91+33=124", "20+34=54", "124-54=70" ]
Current State: 70:[91, 33, 20, 34], Operations: [] Exploring Operation: 91+33=124, Resulting Numbers: [20, 34, 124] Generated Node #2: [20, 34, 124] from Operation: 91+33=124 Current State: 70:[20, 34, 124], Operations: ['91+33=124'] Exploring Operation: 20+34=54, Resulting Numbers: [124, 54] Generated Node #3: [124, 54] from Operation: 20+34=54 Current State: 70:[124, 54], Operations: ['91+33=124', '20+34=54'] Exploring Operation: 124-54=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 94, 23, 79, 92 ]
60
[ "94-79=15", "92/23=4", "15*4=60" ]
Current State: 60:[94, 23, 79, 92], Operations: [] Exploring Operation: 94-79=15, Resulting Numbers: [23, 92, 15] Generated Node #2: [23, 92, 15] from Operation: 94-79=15 Current State: 60:[23, 92, 15], Operations: ['94-79=15'] Exploring Operation: 92/23=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 92/23=4 Current State: 60:[15, 4], Operations: ['94-79=15', '92/23=4'] Exploring Operation: 15*4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 49, 78, 79, 53 ]
52
[ "79-53=26", "78/26=3", "49+3=52" ]
Current State: 52:[49, 78, 79, 53], Operations: [] Exploring Operation: 79-53=26, Resulting Numbers: [49, 78, 26] Generated Node #2: [49, 78, 26] from Operation: 79-53=26 Current State: 52:[49, 78, 26], Operations: ['79-53=26'] Exploring Operation: 78/26=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 78/26=3 Current State: 52:[49, 3], Operations: ['79-53=26', '78/26=3'] Exploring Operation: 49+3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 62, 17, 20 ]
89
[ "20/2=10", "62+17=79", "10+79=89" ]
Current State: 89:[2, 62, 17, 20], Operations: [] Exploring Operation: 20/2=10, Resulting Numbers: [62, 17, 10] Generated Node #2: [62, 17, 10] from Operation: 20/2=10 Current State: 89:[62, 17, 10], Operations: ['20/2=10'] Exploring Operation: 62+17=79, Resulting Numbers: [10, 79] Generated Node #3: [10, 79] from Operation: 62+17=79 Current State: 89:[10, 79], Operations: ['20/2=10', '62+17=79'] Exploring Operation: 10+79=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 52, 99, 85, 41 ]
76
[ "52-41=11", "99/11=9", "85-9=76" ]
Current State: 76:[52, 99, 85, 41], Operations: [] Exploring Operation: 52-41=11, Resulting Numbers: [99, 85, 11] Generated Node #2: [99, 85, 11] from Operation: 52-41=11 Current State: 76:[99, 85, 11], Operations: ['52-41=11'] Exploring Operation: 99/11=9, Resulting Numbers: [85, 9] Generated Node #3: [85, 9] from Operation: 99/11=9 Current State: 76:[85, 9], Operations: ['52-41=11', '99/11=9'] Exploring Operation: 85-9=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 70, 15, 20, 94 ]
19
[ "70-15=55", "94-20=74", "74-55=19" ]
Current State: 19:[70, 15, 20, 94], Operations: [] Exploring Operation: 70-15=55, Resulting Numbers: [20, 94, 55] Generated Node #2: [20, 94, 55] from Operation: 70-15=55 Current State: 19:[20, 94, 55], Operations: ['70-15=55'] Exploring Operation: 94-20=74, Resulting Numbers: [55, 74] Generated Node #3: [55, 74] from Operation: 94-20=74 Current State: 19:[55, 74], Operations: ['70-15=55', '94-20=74'] Exploring Operation: 74-55=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 75, 93, 81, 9 ]
86
[ "75*93=6975", "6975-9=6966", "6966/81=86" ]
Current State: 86:[75, 93, 81, 9], Operations: [] Exploring Operation: 75*93=6975, Resulting Numbers: [81, 9, 6975] Generated Node #2: [81, 9, 6975] from Operation: 75*93=6975 Current State: 86:[81, 9, 6975], Operations: ['75*93=6975'] Exploring Operation: 6975-9=6966, Resulting Numbers: [81, 6966] Generated Node #3: [81, 6966] from Operation: 6975-9=6966 Current State: 86:[81, 6966], Operations: ['75*93=6975', '6975-9=6966'] Exploring Operation: 6966/81=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 91, 56, 64, 88 ]
14
[ "56*88=4928", "4928/64=77", "91-77=14" ]
Current State: 14:[91, 56, 64, 88], Operations: [] Exploring Operation: 56*88=4928, Resulting Numbers: [91, 64, 4928] Generated Node #2: [91, 64, 4928] from Operation: 56*88=4928 Current State: 14:[91, 64, 4928], Operations: ['56*88=4928'] Exploring Operation: 4928/64=77, Resulting Numbers: [91, 77] Generated Node #3: [91, 77] from Operation: 4928/64=77 Current State: 14:[91, 77], Operations: ['56*88=4928', '4928/64=77'] Exploring Operation: 91-77=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 7, 28, 9, 97 ]
83
[ "9-7=2", "28/2=14", "97-14=83" ]
Current State: 83:[7, 28, 9, 97], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [28, 97, 2] Generated Node #2: [28, 97, 2] from Operation: 9-7=2 Current State: 83:[28, 97, 2], Operations: ['9-7=2'] Exploring Operation: 28/2=14, Resulting Numbers: [97, 14] Generated Node #3: [97, 14] from Operation: 28/2=14 Current State: 83:[97, 14], Operations: ['9-7=2', '28/2=14'] Exploring Operation: 97-14=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 18, 23, 44, 50 ]
66
[ "50-23=27", "44*27=1188", "1188/18=66" ]
Current State: 66:[18, 23, 44, 50], Operations: [] Exploring Operation: 50-23=27, Resulting Numbers: [18, 44, 27] Generated Node #2: [18, 44, 27] from Operation: 50-23=27 Current State: 66:[18, 44, 27], Operations: ['50-23=27'] Exploring Operation: 44*27=1188, Resulting Numbers: [18, 1188] Generated Node #3: [18, 1188] from Operation: 44*27=1188 Current State: 66:[18, 1188], Operations: ['50-23=27', '44*27=1188'] Exploring Operation: 1188/18=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 82, 31, 83, 19 ]
13
[ "82-31=51", "83-19=64", "64-51=13" ]
Current State: 13:[82, 31, 83, 19], Operations: [] Exploring Operation: 82-31=51, Resulting Numbers: [83, 19, 51] Generated Node #2: [83, 19, 51] from Operation: 82-31=51 Current State: 13:[83, 19, 51], Operations: ['82-31=51'] Exploring Operation: 83-19=64, Resulting Numbers: [51, 64] Generated Node #3: [51, 64] from Operation: 83-19=64 Current State: 13:[51, 64], Operations: ['82-31=51', '83-19=64'] Exploring Operation: 64-51=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 51, 21, 17, 5 ]
35
[ "51/17=3", "21*5=105", "105/3=35" ]
Current State: 35:[51, 21, 17, 5], Operations: [] Exploring Operation: 51/17=3, Resulting Numbers: [21, 5, 3] Generated Node #2: [21, 5, 3] from Operation: 51/17=3 Current State: 35:[21, 5, 3], Operations: ['51/17=3'] Exploring Operation: 21*5=105, Resulting Numbers: [3, 105] Generated Node #3: [3, 105] from Operation: 21*5=105 Current State: 35:[3, 105], Operations: ['51/17=3', '21*5=105'] Exploring Operation: 105/3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 9, 12, 18, 5 ]
75
[ "12-9=3", "18-3=15", "5*15=75" ]
Current State: 75:[9, 12, 18, 5], Operations: [] Exploring Operation: 12-9=3, Resulting Numbers: [18, 5, 3] Generated Node #2: [18, 5, 3] from Operation: 12-9=3 Current State: 75:[18, 5, 3], Operations: ['12-9=3'] Exploring Operation: 18-3=15, Resulting Numbers: [5, 15] Generated Node #3: [5, 15] from Operation: 18-3=15 Current State: 75:[5, 15], Operations: ['12-9=3', '18-3=15'] Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 91, 70, 90, 99 ]
30
[ "91-70=21", "99-90=9", "21+9=30" ]
Current State: 30:[91, 70, 90, 99], Operations: [] Exploring Operation: 91-70=21, Resulting Numbers: [90, 99, 21] Generated Node #2: [90, 99, 21] from Operation: 91-70=21 Current State: 30:[90, 99, 21], Operations: ['91-70=21'] Exploring Operation: 99-90=9, Resulting Numbers: [21, 9] Generated Node #3: [21, 9] from Operation: 99-90=9 Current State: 30:[21, 9], Operations: ['91-70=21', '99-90=9'] Exploring Operation: 21+9=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 38, 35, 75, 17 ]
89
[ "38-35=3", "75+17=92", "92-3=89" ]
Current State: 89:[38, 35, 75, 17], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [75, 17, 3] Generated Node #2: [75, 17, 3] from Operation: 38-35=3 Current State: 89:[75, 17, 3], Operations: ['38-35=3'] Exploring Operation: 75+17=92, Resulting Numbers: [3, 92] Generated Node #3: [3, 92] from Operation: 75+17=92 Current State: 89:[3, 92], Operations: ['38-35=3', '75+17=92'] Exploring Operation: 92-3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 1, 16, 64, 7 ]
88
[ "1+16=17", "64+7=71", "17+71=88" ]
Current State: 88:[1, 16, 64, 7], Operations: [] Exploring Operation: 1+16=17, Resulting Numbers: [64, 7, 17] Generated Node #2: [64, 7, 17] from Operation: 1+16=17 Current State: 88:[64, 7, 17], Operations: ['1+16=17'] Exploring Operation: 64+7=71, Resulting Numbers: [17, 71] Generated Node #3: [17, 71] from Operation: 64+7=71 Current State: 88:[17, 71], Operations: ['1+16=17', '64+7=71'] Exploring Operation: 17+71=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 58, 18, 91, 45 ]
96
[ "58-18=40", "91+45=136", "136-40=96" ]
Current State: 96:[58, 18, 91, 45], Operations: [] Exploring Operation: 58-18=40, Resulting Numbers: [91, 45, 40] Generated Node #2: [91, 45, 40] from Operation: 58-18=40 Current State: 96:[91, 45, 40], Operations: ['58-18=40'] Exploring Operation: 91+45=136, Resulting Numbers: [40, 136] Generated Node #3: [40, 136] from Operation: 91+45=136 Current State: 96:[40, 136], Operations: ['58-18=40', '91+45=136'] Exploring Operation: 136-40=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 73, 51, 15, 71 ]
81
[ "73-71=2", "15*2=30", "51+30=81" ]
Current State: 81:[73, 51, 15, 71], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [51, 15, 2] Generated Node #2: [51, 15, 2] from Operation: 73-71=2 Current State: 81:[51, 15, 2], Operations: ['73-71=2'] Exploring Operation: 15*2=30, Resulting Numbers: [51, 30] Generated Node #3: [51, 30] from Operation: 15*2=30 Current State: 81:[51, 30], Operations: ['73-71=2', '15*2=30'] Exploring Operation: 51+30=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 86, 70, 78, 18 ]
74
[ "86-78=8", "18*8=144", "144-70=74" ]
Current State: 74:[86, 70, 78, 18], Operations: [] Exploring Operation: 86-78=8, Resulting Numbers: [70, 18, 8] Generated Node #2: [70, 18, 8] from Operation: 86-78=8 Current State: 74:[70, 18, 8], Operations: ['86-78=8'] Exploring Operation: 18*8=144, Resulting Numbers: [70, 144] Generated Node #3: [70, 144] from Operation: 18*8=144 Current State: 74:[70, 144], Operations: ['86-78=8', '18*8=144'] Exploring Operation: 144-70=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 3, 1, 89, 75 ]
41
[ "3+1=4", "89+75=164", "164/4=41" ]
Current State: 41:[3, 1, 89, 75], Operations: [] Exploring Operation: 3+1=4, Resulting Numbers: [89, 75, 4] Generated Node #2: [89, 75, 4] from Operation: 3+1=4 Current State: 41:[89, 75, 4], Operations: ['3+1=4'] Exploring Operation: 89+75=164, Resulting Numbers: [4, 164] Generated Node #3: [4, 164] from Operation: 89+75=164 Current State: 41:[4, 164], Operations: ['3+1=4', '89+75=164'] Exploring Operation: 164/4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 94, 2, 45, 86 ]
82
[ "94-86=8", "2*45=90", "90-8=82" ]
Current State: 82:[94, 2, 45, 86], Operations: [] Exploring Operation: 94-86=8, Resulting Numbers: [2, 45, 8] Generated Node #2: [2, 45, 8] from Operation: 94-86=8 Current State: 82:[2, 45, 8], Operations: ['94-86=8'] Exploring Operation: 2*45=90, Resulting Numbers: [8, 90] Generated Node #3: [8, 90] from Operation: 2*45=90 Current State: 82:[8, 90], Operations: ['94-86=8', '2*45=90'] Exploring Operation: 90-8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 30, 25, 43, 50 ]
11
[ "43-30=13", "50/25=2", "13-2=11" ]
Current State: 11:[30, 25, 43, 50], Operations: [] Exploring Operation: 43-30=13, Resulting Numbers: [25, 50, 13] Generated Node #2: [25, 50, 13] from Operation: 43-30=13 Current State: 11:[25, 50, 13], Operations: ['43-30=13'] Exploring Operation: 50/25=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 50/25=2 Current State: 11:[13, 2], Operations: ['43-30=13', '50/25=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 43, 12, 92, 95 ]
52
[ "43+12=55", "95-92=3", "55-3=52" ]
Current State: 52:[43, 12, 92, 95], Operations: [] Exploring Operation: 43+12=55, Resulting Numbers: [92, 95, 55] Generated Node #2: [92, 95, 55] from Operation: 43+12=55 Current State: 52:[92, 95, 55], Operations: ['43+12=55'] Exploring Operation: 95-92=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 95-92=3 Current State: 52:[55, 3], Operations: ['43+12=55', '95-92=3'] Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 65, 16, 38, 40 ]
64
[ "65*16=1040", "1040/40=26", "38+26=64" ]
Current State: 64:[65, 16, 38, 40], Operations: [] Exploring Operation: 65*16=1040, Resulting Numbers: [38, 40, 1040] Generated Node #2: [38, 40, 1040] from Operation: 65*16=1040 Current State: 64:[38, 40, 1040], Operations: ['65*16=1040'] Exploring Operation: 1040/40=26, Resulting Numbers: [38, 26] Generated Node #3: [38, 26] from Operation: 1040/40=26 Current State: 64:[38, 26], Operations: ['65*16=1040', '1040/40=26'] Exploring Operation: 38+26=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 32, 24, 51, 66 ]
20
[ "66-51=15", "32*15=480", "480/24=20" ]
Current State: 20:[32, 24, 51, 66], Operations: [] Exploring Operation: 66-51=15, Resulting Numbers: [32, 24, 15] Generated Node #2: [32, 24, 15] from Operation: 66-51=15 Current State: 20:[32, 24, 15], Operations: ['66-51=15'] Exploring Operation: 32*15=480, Resulting Numbers: [24, 480] Generated Node #3: [24, 480] from Operation: 32*15=480 Current State: 20:[24, 480], Operations: ['66-51=15', '32*15=480'] Exploring Operation: 480/24=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 15, 11, 16, 89 ]
100
[ "16-15=1", "11+89=100", "1*100=100" ]
Current State: 100:[15, 11, 16, 89], Operations: [] Exploring Operation: 16-15=1, Resulting Numbers: [11, 89, 1] Generated Node #2: [11, 89, 1] from Operation: 16-15=1 Current State: 100:[11, 89, 1], Operations: ['16-15=1'] Exploring Operation: 11+89=100, Resulting Numbers: [1, 100] Generated Node #3: [1, 100] from Operation: 11+89=100 Current State: 100:[1, 100], Operations: ['16-15=1', '11+89=100'] Exploring Operation: 1*100=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 12, 56, 48, 34 ]
94
[ "48/12=4", "56+34=90", "4+90=94" ]
Current State: 94:[12, 56, 48, 34], Operations: [] Exploring Operation: 48/12=4, Resulting Numbers: [56, 34, 4] Generated Node #2: [56, 34, 4] from Operation: 48/12=4 Current State: 94:[56, 34, 4], Operations: ['48/12=4'] Exploring Operation: 56+34=90, Resulting Numbers: [4, 90] Generated Node #3: [4, 90] from Operation: 56+34=90 Current State: 94:[4, 90], Operations: ['48/12=4', '56+34=90'] Exploring Operation: 4+90=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 12, 53, 68, 46 ]
87
[ "12+53=65", "68-46=22", "65+22=87" ]
Current State: 87:[12, 53, 68, 46], Operations: [] Exploring Operation: 12+53=65, Resulting Numbers: [68, 46, 65] Generated Node #2: [68, 46, 65] from Operation: 12+53=65 Current State: 87:[68, 46, 65], Operations: ['12+53=65'] Exploring Operation: 68-46=22, Resulting Numbers: [65, 22] Generated Node #3: [65, 22] from Operation: 68-46=22 Current State: 87:[65, 22], Operations: ['12+53=65', '68-46=22'] Exploring Operation: 65+22=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 16, 92, 63, 44 ]
95
[ "92-16=76", "63-44=19", "76+19=95" ]
Current State: 95:[16, 92, 63, 44], Operations: [] Exploring Operation: 92-16=76, Resulting Numbers: [63, 44, 76] Generated Node #2: [63, 44, 76] from Operation: 92-16=76 Current State: 95:[63, 44, 76], Operations: ['92-16=76'] Exploring Operation: 63-44=19, Resulting Numbers: [76, 19] Generated Node #3: [76, 19] from Operation: 63-44=19 Current State: 95:[76, 19], Operations: ['92-16=76', '63-44=19'] Exploring Operation: 76+19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 15, 27, 58, 90 ]
91
[ "90/15=6", "27+58=85", "6+85=91" ]
Current State: 91:[15, 27, 58, 90], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [27, 58, 6] Generated Node #2: [27, 58, 6] from Operation: 90/15=6 Current State: 91:[27, 58, 6], Operations: ['90/15=6'] Exploring Operation: 27+58=85, Resulting Numbers: [6, 85] Generated Node #3: [6, 85] from Operation: 27+58=85 Current State: 91:[6, 85], Operations: ['90/15=6', '27+58=85'] Exploring Operation: 6+85=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 41, 38, 90, 2 ]
30
[ "90-41=49", "38/2=19", "49-19=30" ]
Current State: 30:[41, 38, 90, 2], Operations: [] Exploring Operation: 90-41=49, Resulting Numbers: [38, 2, 49] Generated Node #2: [38, 2, 49] from Operation: 90-41=49 Current State: 30:[38, 2, 49], Operations: ['90-41=49'] Exploring Operation: 38/2=19, Resulting Numbers: [49, 19] Generated Node #3: [49, 19] from Operation: 38/2=19 Current State: 30:[49, 19], Operations: ['90-41=49', '38/2=19'] Exploring Operation: 49-19=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 82, 52, 2, 35 ]
24
[ "82/2=41", "52-35=17", "41-17=24" ]
Current State: 24:[82, 52, 2, 35], Operations: [] Exploring Operation: 82/2=41, Resulting Numbers: [52, 35, 41] Generated Node #2: [52, 35, 41] from Operation: 82/2=41 Current State: 24:[52, 35, 41], Operations: ['82/2=41'] Exploring Operation: 52-35=17, Resulting Numbers: [41, 17] Generated Node #3: [41, 17] from Operation: 52-35=17 Current State: 24:[41, 17], Operations: ['82/2=41', '52-35=17'] Exploring Operation: 41-17=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 36, 51, 41, 59 ]
13
[ "36+51=87", "41+59=100", "100-87=13" ]
Current State: 13:[36, 51, 41, 59], Operations: [] Exploring Operation: 36+51=87, Resulting Numbers: [41, 59, 87] Generated Node #2: [41, 59, 87] from Operation: 36+51=87 Current State: 13:[41, 59, 87], Operations: ['36+51=87'] Exploring Operation: 41+59=100, Resulting Numbers: [87, 100] Generated Node #3: [87, 100] from Operation: 41+59=100 Current State: 13:[87, 100], Operations: ['36+51=87', '41+59=100'] Exploring Operation: 100-87=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 73, 81, 50, 17 ]
87
[ "73+81=154", "50+17=67", "154-67=87" ]
Current State: 87:[73, 81, 50, 17], Operations: [] Exploring Operation: 73+81=154, Resulting Numbers: [50, 17, 154] Generated Node #2: [50, 17, 154] from Operation: 73+81=154 Current State: 87:[50, 17, 154], Operations: ['73+81=154'] Exploring Operation: 50+17=67, Resulting Numbers: [154, 67] Generated Node #3: [154, 67] from Operation: 50+17=67 Current State: 87:[154, 67], Operations: ['73+81=154', '50+17=67'] Exploring Operation: 154-67=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 28, 57, 24, 33 ]
75
[ "28-24=4", "33*4=132", "132-57=75" ]
Current State: 75:[28, 57, 24, 33], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [57, 33, 4] Generated Node #2: [57, 33, 4] from Operation: 28-24=4 Current State: 75:[57, 33, 4], Operations: ['28-24=4'] Exploring Operation: 33*4=132, Resulting Numbers: [57, 132] Generated Node #3: [57, 132] from Operation: 33*4=132 Current State: 75:[57, 132], Operations: ['28-24=4', '33*4=132'] Exploring Operation: 132-57=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 11, 97, 17, 31 ]
100
[ "97-11=86", "31-17=14", "86+14=100" ]
Current State: 100:[11, 97, 17, 31], Operations: [] Exploring Operation: 97-11=86, Resulting Numbers: [17, 31, 86] Generated Node #2: [17, 31, 86] from Operation: 97-11=86 Current State: 100:[17, 31, 86], Operations: ['97-11=86'] Exploring Operation: 31-17=14, Resulting Numbers: [86, 14] Generated Node #3: [86, 14] from Operation: 31-17=14 Current State: 100:[86, 14], Operations: ['97-11=86', '31-17=14'] Exploring Operation: 86+14=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 17, 38, 1, 78 ]
22
[ "17+38=55", "78-1=77", "77-55=22" ]
Current State: 22:[17, 38, 1, 78], Operations: [] Exploring Operation: 17+38=55, Resulting Numbers: [1, 78, 55] Generated Node #2: [1, 78, 55] from Operation: 17+38=55 Current State: 22:[1, 78, 55], Operations: ['17+38=55'] Exploring Operation: 78-1=77, Resulting Numbers: [55, 77] Generated Node #3: [55, 77] from Operation: 78-1=77 Current State: 22:[55, 77], Operations: ['17+38=55', '78-1=77'] Exploring Operation: 77-55=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 90, 7, 7, 6 ]
84
[ "90+7=97", "7+6=13", "97-13=84" ]
Current State: 84:[90, 7, 7, 6], Operations: [] Exploring Operation: 90+7=97, Resulting Numbers: [6, 97] Generated Node #2: [6, 97] from Operation: 90+7=97 Current State: 84:[6, 97], Operations: ['90+7=97'] Exploring Operation: 7+6=13, Resulting Numbers: [97, 13] Generated Node #3: [97, 13] from Operation: 7+6=13 Current State: 84:[97, 13], Operations: ['90+7=97', '7+6=13'] Exploring Operation: 97-13=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 13, 45, 14, 2 ]
86
[ "13+45=58", "14*2=28", "58+28=86" ]
Current State: 86:[13, 45, 14, 2], Operations: [] Exploring Operation: 13+45=58, Resulting Numbers: [14, 2, 58] Generated Node #2: [14, 2, 58] from Operation: 13+45=58 Current State: 86:[14, 2, 58], Operations: ['13+45=58'] Exploring Operation: 14*2=28, Resulting Numbers: [58, 28] Generated Node #3: [58, 28] from Operation: 14*2=28 Current State: 86:[58, 28], Operations: ['13+45=58', '14*2=28'] Exploring Operation: 58+28=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 66, 63, 28, 3 ]
34
[ "66-63=3", "28+3=31", "3+31=34" ]
Current State: 34:[66, 63, 28, 3], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [28, 3, 3] Generated Node #2: [28, 3, 3] from Operation: 66-63=3 Current State: 34:[28, 3, 3], Operations: ['66-63=3'] Exploring Operation: 28+3=31, Resulting Numbers: [31] 31,34 equal: Goal Reached Exploring Operation: 3+31=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 31, 87, 93, 96 ]
90
[ "93-87=6", "31*6=186", "186-96=90" ]
Current State: 90:[31, 87, 93, 96], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [31, 96, 6] Generated Node #2: [31, 96, 6] from Operation: 93-87=6 Current State: 90:[31, 96, 6], Operations: ['93-87=6'] Exploring Operation: 31*6=186, Resulting Numbers: [96, 186] Generated Node #3: [96, 186] from Operation: 31*6=186 Current State: 90:[96, 186], Operations: ['93-87=6', '31*6=186'] Exploring Operation: 186-96=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 84, 42, 23, 96 ]
14
[ "84*23=1932", "42+96=138", "1932/138=14" ]
Current State: 14:[84, 42, 23, 96], Operations: [] Exploring Operation: 84*23=1932, Resulting Numbers: [42, 96, 1932] Generated Node #2: [42, 96, 1932] from Operation: 84*23=1932 Current State: 14:[42, 96, 1932], Operations: ['84*23=1932'] Exploring Operation: 42+96=138, Resulting Numbers: [1932, 138] Generated Node #3: [1932, 138] from Operation: 42+96=138 Current State: 14:[1932, 138], Operations: ['84*23=1932', '42+96=138'] Exploring Operation: 1932/138=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 19, 88, 85, 3 ]
89
[ "19+3=22", "88/22=4", "85+4=89" ]
Current State: 89:[19, 88, 85, 3], Operations: [] Exploring Operation: 19+3=22, Resulting Numbers: [88, 85, 22] Generated Node #2: [88, 85, 22] from Operation: 19+3=22 Current State: 89:[88, 85, 22], Operations: ['19+3=22'] Exploring Operation: 88/22=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 88/22=4 Current State: 89:[85, 4], Operations: ['19+3=22', '88/22=4'] Exploring Operation: 85+4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 94, 78, 62, 90 ]
35
[ "94-90=4", "78+62=140", "140/4=35" ]
Current State: 35:[94, 78, 62, 90], Operations: [] Exploring Operation: 94-90=4, Resulting Numbers: [78, 62, 4] Generated Node #2: [78, 62, 4] from Operation: 94-90=4 Current State: 35:[78, 62, 4], Operations: ['94-90=4'] Exploring Operation: 78+62=140, Resulting Numbers: [4, 140] Generated Node #3: [4, 140] from Operation: 78+62=140 Current State: 35:[4, 140], Operations: ['94-90=4', '78+62=140'] Exploring Operation: 140/4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 29, 40, 93, 6 ]
41
[ "29*6=174", "40+93=133", "174-133=41" ]
Current State: 41:[29, 40, 93, 6], Operations: [] Exploring Operation: 29*6=174, Resulting Numbers: [40, 93, 174] Generated Node #2: [40, 93, 174] from Operation: 29*6=174 Current State: 41:[40, 93, 174], Operations: ['29*6=174'] Exploring Operation: 40+93=133, Resulting Numbers: [174, 133] Generated Node #3: [174, 133] from Operation: 40+93=133 Current State: 41:[174, 133], Operations: ['29*6=174', '40+93=133'] Exploring Operation: 174-133=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 61, 51, 64, 2 ]
19
[ "64-61=3", "51/3=17", "2+17=19" ]
Current State: 19:[61, 51, 64, 2], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [51, 2, 3] Generated Node #2: [51, 2, 3] from Operation: 64-61=3 Current State: 19:[51, 2, 3], Operations: ['64-61=3'] Exploring Operation: 51/3=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 51/3=17 Current State: 19:[2, 17], Operations: ['64-61=3', '51/3=17'] Exploring Operation: 2+17=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 83, 2, 34, 79 ]
53
[ "83*2=166", "34+79=113", "166-113=53" ]
Current State: 53:[83, 2, 34, 79], Operations: [] Exploring Operation: 83*2=166, Resulting Numbers: [34, 79, 166] Generated Node #2: [34, 79, 166] from Operation: 83*2=166 Current State: 53:[34, 79, 166], Operations: ['83*2=166'] Exploring Operation: 34+79=113, Resulting Numbers: [166, 113] Generated Node #3: [166, 113] from Operation: 34+79=113 Current State: 53:[166, 113], Operations: ['83*2=166', '34+79=113'] Exploring Operation: 166-113=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 80, 8, 4, 17 ]
85
[ "80-8=72", "17-4=13", "72+13=85" ]
Current State: 85:[80, 8, 4, 17], Operations: [] Exploring Operation: 80-8=72, Resulting Numbers: [4, 17, 72] Generated Node #2: [4, 17, 72] from Operation: 80-8=72 Current State: 85:[4, 17, 72], Operations: ['80-8=72'] Exploring Operation: 17-4=13, Resulting Numbers: [72, 13] Generated Node #3: [72, 13] from Operation: 17-4=13 Current State: 85:[72, 13], Operations: ['80-8=72', '17-4=13'] Exploring Operation: 72+13=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 3, 24, 50, 27 ]
41
[ "27-24=3", "3*3=9", "50-9=41" ]
Current State: 41:[3, 24, 50, 27], Operations: [] Exploring Operation: 27-24=3, Resulting Numbers: [3, 50, 3] Generated Node #2: [3, 50, 3] from Operation: 27-24=3 Current State: 41:[3, 50, 3], Operations: ['27-24=3'] Exploring Operation: 3*3=9, Resulting Numbers: [50, 9] Generated Node #3: [50, 9] from Operation: 3*3=9 Current State: 41:[50, 9], Operations: ['27-24=3', '3*3=9'] Exploring Operation: 50-9=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 34, 67, 60, 22 ]
63
[ "34+67=101", "60-22=38", "101-38=63" ]
Current State: 63:[34, 67, 60, 22], Operations: [] Exploring Operation: 34+67=101, Resulting Numbers: [60, 22, 101] Generated Node #2: [60, 22, 101] from Operation: 34+67=101 Current State: 63:[60, 22, 101], Operations: ['34+67=101'] Exploring Operation: 60-22=38, Resulting Numbers: [101, 38] Generated Node #3: [101, 38] from Operation: 60-22=38 Current State: 63:[101, 38], Operations: ['34+67=101', '60-22=38'] Exploring Operation: 101-38=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 59, 53, 7, 13 ]
36
[ "59-53=6", "13-7=6", "6*6=36" ]
Current State: 36:[59, 53, 7, 13], Operations: [] Exploring Operation: 59-53=6, Resulting Numbers: [7, 13, 6] Generated Node #2: [7, 13, 6] from Operation: 59-53=6 Current State: 36:[7, 13, 6], Operations: ['59-53=6'] Exploring Operation: 13-7=6, Resulting Numbers: [6, 6] Generated Node #3: [6, 6] from Operation: 13-7=6 Current State: 36:[6, 6], Operations: ['59-53=6', '13-7=6'] Exploring Operation: 6*6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 76, 26, 53, 95 ]
60
[ "76+26=102", "95-53=42", "102-42=60" ]
Current State: 60:[76, 26, 53, 95], Operations: [] Exploring Operation: 76+26=102, Resulting Numbers: [53, 95, 102] Generated Node #2: [53, 95, 102] from Operation: 76+26=102 Current State: 60:[53, 95, 102], Operations: ['76+26=102'] Exploring Operation: 95-53=42, Resulting Numbers: [102, 42] Generated Node #3: [102, 42] from Operation: 95-53=42 Current State: 60:[102, 42], Operations: ['76+26=102', '95-53=42'] Exploring Operation: 102-42=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 5, 64, 16, 92 ]
39
[ "5+64=69", "16+92=108", "108-69=39" ]
Current State: 39:[5, 64, 16, 92], Operations: [] Exploring Operation: 5+64=69, Resulting Numbers: [16, 92, 69] Generated Node #2: [16, 92, 69] from Operation: 5+64=69 Current State: 39:[16, 92, 69], Operations: ['5+64=69'] Exploring Operation: 16+92=108, Resulting Numbers: [69, 108] Generated Node #3: [69, 108] from Operation: 16+92=108 Current State: 39:[69, 108], Operations: ['5+64=69', '16+92=108'] Exploring Operation: 108-69=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 13, 41, 3, 16 ]
34
[ "13+41=54", "54/3=18", "16+18=34" ]
Current State: 34:[13, 41, 3, 16], Operations: [] Exploring Operation: 13+41=54, Resulting Numbers: [3, 16, 54] Generated Node #2: [3, 16, 54] from Operation: 13+41=54 Current State: 34:[3, 16, 54], Operations: ['13+41=54'] Exploring Operation: 54/3=18, Resulting Numbers: [16, 18] Generated Node #3: [16, 18] from Operation: 54/3=18 Current State: 34:[16, 18], Operations: ['13+41=54', '54/3=18'] Exploring Operation: 16+18=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 84, 87, 18, 51 ]
57
[ "87-84=3", "18/3=6", "51+6=57" ]
Current State: 57:[84, 87, 18, 51], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [18, 51, 3] Generated Node #2: [18, 51, 3] from Operation: 87-84=3 Current State: 57:[18, 51, 3], Operations: ['87-84=3'] Exploring Operation: 18/3=6, Resulting Numbers: [51, 6] Generated Node #3: [51, 6] from Operation: 18/3=6 Current State: 57:[51, 6], Operations: ['87-84=3', '18/3=6'] Exploring Operation: 51+6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 41, 40, 20, 12 ]
89
[ "41+40=81", "20-12=8", "81+8=89" ]
Current State: 89:[41, 40, 20, 12], Operations: [] Exploring Operation: 41+40=81, Resulting Numbers: [20, 12, 81] Generated Node #2: [20, 12, 81] from Operation: 41+40=81 Current State: 89:[20, 12, 81], Operations: ['41+40=81'] Exploring Operation: 20-12=8, Resulting Numbers: [81, 8] Generated Node #3: [81, 8] from Operation: 20-12=8 Current State: 89:[81, 8], Operations: ['41+40=81', '20-12=8'] Exploring Operation: 81+8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 81, 40, 73, 89 ]
20
[ "81*40=3240", "73+89=162", "3240/162=20" ]
Current State: 20:[81, 40, 73, 89], Operations: [] Exploring Operation: 81*40=3240, Resulting Numbers: [73, 89, 3240] Generated Node #2: [73, 89, 3240] from Operation: 81*40=3240 Current State: 20:[73, 89, 3240], Operations: ['81*40=3240'] Exploring Operation: 73+89=162, Resulting Numbers: [3240, 162] Generated Node #3: [3240, 162] from Operation: 73+89=162 Current State: 20:[3240, 162], Operations: ['81*40=3240', '73+89=162'] Exploring Operation: 3240/162=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 8, 41, 10, 91 ]
100
[ "10-8=2", "91-41=50", "2*50=100" ]
Current State: 100:[8, 41, 10, 91], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [41, 91, 2] Generated Node #2: [41, 91, 2] from Operation: 10-8=2 Current State: 100:[41, 91, 2], Operations: ['10-8=2'] Exploring Operation: 91-41=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 91-41=50 Current State: 100:[2, 50], Operations: ['10-8=2', '91-41=50'] Exploring Operation: 2*50=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 44, 74, 14, 9 ]
23
[ "44*9=396", "396-74=322", "322/14=23" ]
Current State: 23:[44, 74, 14, 9], Operations: [] Exploring Operation: 44*9=396, Resulting Numbers: [74, 14, 396] Generated Node #2: [74, 14, 396] from Operation: 44*9=396 Current State: 23:[74, 14, 396], Operations: ['44*9=396'] Exploring Operation: 396-74=322, Resulting Numbers: [14, 322] Generated Node #3: [14, 322] from Operation: 396-74=322 Current State: 23:[14, 322], Operations: ['44*9=396', '396-74=322'] Exploring Operation: 322/14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 22, 94, 20, 54 ]
20
[ "22-20=2", "94-54=40", "40/2=20" ]
Current State: 20:[22, 94, 20, 54], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [94, 54, 2] Generated Node #2: [94, 54, 2] from Operation: 22-20=2 Current State: 20:[94, 54, 2], Operations: ['22-20=2'] Exploring Operation: 94-54=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 94-54=40 Current State: 20:[2, 40], Operations: ['22-20=2', '94-54=40'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 78, 14, 72, 12 ]
19
[ "78*14=1092", "1092/12=91", "91-72=19" ]
Current State: 19:[78, 14, 72, 12], Operations: [] Exploring Operation: 78*14=1092, Resulting Numbers: [72, 12, 1092] Generated Node #2: [72, 12, 1092] from Operation: 78*14=1092 Current State: 19:[72, 12, 1092], Operations: ['78*14=1092'] Exploring Operation: 1092/12=91, Resulting Numbers: [72, 91] Generated Node #3: [72, 91] from Operation: 1092/12=91 Current State: 19:[72, 91], Operations: ['78*14=1092', '1092/12=91'] Exploring Operation: 91-72=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 69, 3, 58, 53 ]
10
[ "69-53=16", "3*16=48", "58-48=10" ]
Current State: 10:[69, 3, 58, 53], Operations: [] Exploring Operation: 69-53=16, Resulting Numbers: [3, 58, 16] Generated Node #2: [3, 58, 16] from Operation: 69-53=16 Current State: 10:[3, 58, 16], Operations: ['69-53=16'] Exploring Operation: 3*16=48, Resulting Numbers: [58, 48] Generated Node #3: [58, 48] from Operation: 3*16=48 Current State: 10:[58, 48], Operations: ['69-53=16', '3*16=48'] Exploring Operation: 58-48=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 2, 46, 22, 50 ]
80
[ "22-2=20", "50-46=4", "20*4=80" ]
Current State: 80:[2, 46, 22, 50], Operations: [] Exploring Operation: 22-2=20, Resulting Numbers: [46, 50, 20] Generated Node #2: [46, 50, 20] from Operation: 22-2=20 Current State: 80:[46, 50, 20], Operations: ['22-2=20'] Exploring Operation: 50-46=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 50-46=4 Current State: 80:[20, 4], Operations: ['22-2=20', '50-46=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 67, 25, 17, 75 ]
64
[ "75-67=8", "25-17=8", "8*8=64" ]
Current State: 64:[67, 25, 17, 75], Operations: [] Exploring Operation: 75-67=8, Resulting Numbers: [25, 17, 8] Generated Node #2: [25, 17, 8] from Operation: 75-67=8 Current State: 64:[25, 17, 8], Operations: ['75-67=8'] Exploring Operation: 25-17=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 25-17=8 Current State: 64:[8, 8], Operations: ['75-67=8', '25-17=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 92, 9, 66, 87 ]
97
[ "87-66=21", "9*21=189", "189-92=97" ]
Current State: 97:[92, 9, 66, 87], Operations: [] Exploring Operation: 87-66=21, Resulting Numbers: [92, 9, 21] Generated Node #2: [92, 9, 21] from Operation: 87-66=21 Current State: 97:[92, 9, 21], Operations: ['87-66=21'] Exploring Operation: 9*21=189, Resulting Numbers: [92, 189] Generated Node #3: [92, 189] from Operation: 9*21=189 Current State: 97:[92, 189], Operations: ['87-66=21', '9*21=189'] Exploring Operation: 189-92=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 53, 94, 54, 23 ]
70
[ "53+94=147", "54+23=77", "147-77=70" ]
Current State: 70:[53, 94, 54, 23], Operations: [] Exploring Operation: 53+94=147, Resulting Numbers: [54, 23, 147] Generated Node #2: [54, 23, 147] from Operation: 53+94=147 Current State: 70:[54, 23, 147], Operations: ['53+94=147'] Exploring Operation: 54+23=77, Resulting Numbers: [147, 77] Generated Node #3: [147, 77] from Operation: 54+23=77 Current State: 70:[147, 77], Operations: ['53+94=147', '54+23=77'] Exploring Operation: 147-77=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 67, 88, 4, 17 ]
87
[ "67+88=155", "4*17=68", "155-68=87" ]
Current State: 87:[67, 88, 4, 17], Operations: [] Exploring Operation: 67+88=155, Resulting Numbers: [4, 17, 155] Generated Node #2: [4, 17, 155] from Operation: 67+88=155 Current State: 87:[4, 17, 155], Operations: ['67+88=155'] Exploring Operation: 4*17=68, Resulting Numbers: [155, 68] Generated Node #3: [155, 68] from Operation: 4*17=68 Current State: 87:[155, 68], Operations: ['67+88=155', '4*17=68'] Exploring Operation: 155-68=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 12, 84, 25, 24 ]
95
[ "12+84=96", "25-24=1", "96-1=95" ]
Current State: 95:[12, 84, 25, 24], Operations: [] Exploring Operation: 12+84=96, Resulting Numbers: [25, 24, 96] Generated Node #2: [25, 24, 96] from Operation: 12+84=96 Current State: 95:[25, 24, 96], Operations: ['12+84=96'] Exploring Operation: 25-24=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 25-24=1 Current State: 95:[96, 1], Operations: ['12+84=96', '25-24=1'] Exploring Operation: 96-1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 79, 97, 35, 38 ]
94
[ "79+35=114", "114/38=3", "97-3=94" ]
Current State: 94:[79, 97, 35, 38], Operations: [] Exploring Operation: 79+35=114, Resulting Numbers: [97, 38, 114] Generated Node #2: [97, 38, 114] from Operation: 79+35=114 Current State: 94:[97, 38, 114], Operations: ['79+35=114'] Exploring Operation: 114/38=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 114/38=3 Current State: 94:[97, 3], Operations: ['79+35=114', '114/38=3'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 15, 29, 83, 91 ]
22
[ "29-15=14", "91-83=8", "14+8=22" ]
Current State: 22:[15, 29, 83, 91], Operations: [] Exploring Operation: 29-15=14, Resulting Numbers: [83, 91, 14] Generated Node #2: [83, 91, 14] from Operation: 29-15=14 Current State: 22:[83, 91, 14], Operations: ['29-15=14'] Exploring Operation: 91-83=8, Resulting Numbers: [14, 8] Generated Node #3: [14, 8] from Operation: 91-83=8 Current State: 22:[14, 8], Operations: ['29-15=14', '91-83=8'] Exploring Operation: 14+8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 68, 96, 79, 37 ]
88
[ "96-68=28", "79+37=116", "116-28=88" ]
Current State: 88:[68, 96, 79, 37], Operations: [] Exploring Operation: 96-68=28, Resulting Numbers: [79, 37, 28] Generated Node #2: [79, 37, 28] from Operation: 96-68=28 Current State: 88:[79, 37, 28], Operations: ['96-68=28'] Exploring Operation: 79+37=116, Resulting Numbers: [28, 116] Generated Node #3: [28, 116] from Operation: 79+37=116 Current State: 88:[28, 116], Operations: ['96-68=28', '79+37=116'] Exploring Operation: 116-28=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 23, 57, 92, 91 ]
33
[ "57-23=34", "92-91=1", "34-1=33" ]
Current State: 33:[23, 57, 92, 91], Operations: [] Exploring Operation: 57-23=34, Resulting Numbers: [92, 91, 34] Generated Node #2: [92, 91, 34] from Operation: 57-23=34 Current State: 33:[92, 91, 34], Operations: ['57-23=34'] Exploring Operation: 92-91=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 92-91=1 Current State: 33:[34, 1], Operations: ['57-23=34', '92-91=1'] Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 74, 58, 73, 3 ]
91
[ "74*3=222", "58+73=131", "222-131=91" ]
Current State: 91:[74, 58, 73, 3], Operations: [] Exploring Operation: 74*3=222, Resulting Numbers: [58, 73, 222] Generated Node #2: [58, 73, 222] from Operation: 74*3=222 Current State: 91:[58, 73, 222], Operations: ['74*3=222'] Exploring Operation: 58+73=131, Resulting Numbers: [222, 131] Generated Node #3: [222, 131] from Operation: 58+73=131 Current State: 91:[222, 131], Operations: ['74*3=222', '58+73=131'] Exploring Operation: 222-131=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 37, 90, 33, 5 ]
88
[ "37+33=70", "90/5=18", "70+18=88" ]
Current State: 88:[37, 90, 33, 5], Operations: [] Exploring Operation: 37+33=70, Resulting Numbers: [90, 5, 70] Generated Node #2: [90, 5, 70] from Operation: 37+33=70 Current State: 88:[90, 5, 70], Operations: ['37+33=70'] Exploring Operation: 90/5=18, Resulting Numbers: [70, 18] Generated Node #3: [70, 18] from Operation: 90/5=18 Current State: 88:[70, 18], Operations: ['37+33=70', '90/5=18'] Exploring Operation: 70+18=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 32, 26, 78, 73 ]
11
[ "32-26=6", "78-73=5", "6+5=11" ]
Current State: 11:[32, 26, 78, 73], Operations: [] Exploring Operation: 32-26=6, Resulting Numbers: [78, 73, 6] Generated Node #2: [78, 73, 6] from Operation: 32-26=6 Current State: 11:[78, 73, 6], Operations: ['32-26=6'] Exploring Operation: 78-73=5, Resulting Numbers: [6, 5] Generated Node #3: [6, 5] from Operation: 78-73=5 Current State: 11:[6, 5], Operations: ['32-26=6', '78-73=5'] Exploring Operation: 6+5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 14, 14, 31 ]
38
[ "14/2=7", "14+31=45", "45-7=38" ]
Current State: 38:[2, 14, 14, 31], Operations: [] Exploring Operation: 14/2=7, Resulting Numbers: [31, 7] Generated Node #2: [31, 7] from Operation: 14/2=7 Current State: 38:[31, 7], Operations: ['14/2=7'] Exploring Operation: 14+31=45, Resulting Numbers: [7, 45] Generated Node #3: [7, 45] from Operation: 14+31=45 Current State: 38:[7, 45], Operations: ['14/2=7', '14+31=45'] Exploring Operation: 45-7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 36, 79, 35, 38 ]
29
[ "38-35=3", "36*3=108", "108-79=29" ]
Current State: 29:[36, 79, 35, 38], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [36, 79, 3] Generated Node #2: [36, 79, 3] from Operation: 38-35=3 Current State: 29:[36, 79, 3], Operations: ['38-35=3'] Exploring Operation: 36*3=108, Resulting Numbers: [79, 108] Generated Node #3: [79, 108] from Operation: 36*3=108 Current State: 29:[79, 108], Operations: ['38-35=3', '36*3=108'] Exploring Operation: 108-79=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 3, 58, 37, 39 ]
26
[ "39-37=2", "58/2=29", "29-3=26" ]
Current State: 26:[3, 58, 37, 39], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [3, 58, 2] Generated Node #2: [3, 58, 2] from Operation: 39-37=2 Current State: 26:[3, 58, 2], Operations: ['39-37=2'] Exploring Operation: 58/2=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 58/2=29 Current State: 26:[3, 29], Operations: ['39-37=2', '58/2=29'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 45, 39, 27, 97 ]
66
[ "27*97=2619", "2619-45=2574", "2574/39=66" ]
Current State: 66:[45, 39, 27, 97], Operations: [] Exploring Operation: 27*97=2619, Resulting Numbers: [45, 39, 2619] Generated Node #2: [45, 39, 2619] from Operation: 27*97=2619 Current State: 66:[45, 39, 2619], Operations: ['27*97=2619'] Exploring Operation: 2619-45=2574, Resulting Numbers: [39, 2574] Generated Node #3: [39, 2574] from Operation: 2619-45=2574 Current State: 66:[39, 2574], Operations: ['27*97=2619', '2619-45=2574'] Exploring Operation: 2574/39=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 24, 44, 3, 63 ]
27
[ "24/3=8", "63-44=19", "8+19=27" ]
Current State: 27:[24, 44, 3, 63], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [44, 63, 8] Generated Node #2: [44, 63, 8] from Operation: 24/3=8 Current State: 27:[44, 63, 8], Operations: ['24/3=8'] Exploring Operation: 63-44=19, Resulting Numbers: [8, 19] Generated Node #3: [8, 19] from Operation: 63-44=19 Current State: 27:[8, 19], Operations: ['24/3=8', '63-44=19'] Exploring Operation: 8+19=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 17, 34, 74, 68 ]
23
[ "34-17=17", "74-68=6", "17+6=23" ]
Current State: 23:[17, 34, 74, 68], Operations: [] Exploring Operation: 34-17=17, Resulting Numbers: [74, 68, 17] Generated Node #2: [74, 68, 17] from Operation: 34-17=17 Current State: 23:[74, 68, 17], Operations: ['34-17=17'] Exploring Operation: 74-68=6, Resulting Numbers: [17, 6] Generated Node #3: [17, 6] from Operation: 74-68=6 Current State: 23:[17, 6], Operations: ['34-17=17', '74-68=6'] Exploring Operation: 17+6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 59, 9, 45, 9 ]
63
[ "59+9=68", "45/9=5", "68-5=63" ]
Current State: 63:[59, 9, 45, 9], Operations: [] Exploring Operation: 59+9=68, Resulting Numbers: [45, 68] Generated Node #2: [45, 68] from Operation: 59+9=68 Current State: 63:[45, 68], Operations: ['59+9=68'] Exploring Operation: 45/9=5, Resulting Numbers: [68, 5] Generated Node #3: [68, 5] from Operation: 45/9=5 Current State: 63:[68, 5], Operations: ['59+9=68', '45/9=5'] Exploring Operation: 68-5=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 99, 56, 27, 9 ]
70
[ "99+27=126", "126/9=14", "56+14=70" ]
Current State: 70:[99, 56, 27, 9], Operations: [] Exploring Operation: 99+27=126, Resulting Numbers: [56, 9, 126] Generated Node #2: [56, 9, 126] from Operation: 99+27=126 Current State: 70:[56, 9, 126], Operations: ['99+27=126'] Exploring Operation: 126/9=14, Resulting Numbers: [56, 14] Generated Node #3: [56, 14] from Operation: 126/9=14 Current State: 70:[56, 14], Operations: ['99+27=126', '126/9=14'] Exploring Operation: 56+14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 57, 82, 89, 99 ]
96
[ "82+89=171", "171/57=3", "99-3=96" ]
Current State: 96:[57, 82, 89, 99], Operations: [] Exploring Operation: 82+89=171, Resulting Numbers: [57, 99, 171] Generated Node #2: [57, 99, 171] from Operation: 82+89=171 Current State: 96:[57, 99, 171], Operations: ['82+89=171'] Exploring Operation: 171/57=3, Resulting Numbers: [99, 3] Generated Node #3: [99, 3] from Operation: 171/57=3 Current State: 96:[99, 3], Operations: ['82+89=171', '171/57=3'] Exploring Operation: 99-3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 92, 9, 98, 90 ]
92
[ "98-9=89", "90-89=1", "92*1=92" ]
Current State: 92:[92, 9, 98, 90], Operations: [] Exploring Operation: 98-9=89, Resulting Numbers: [92, 90, 89] Generated Node #2: [92, 90, 89] from Operation: 98-9=89 Current State: 92:[92, 90, 89], Operations: ['98-9=89'] Exploring Operation: 90-89=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 90-89=1 Current State: 92:[92, 1], Operations: ['98-9=89', '90-89=1'] Exploring Operation: 92*1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 34, 2, 87, 26 ]
69
[ "34+87=121", "2*26=52", "121-52=69" ]
Current State: 69:[34, 2, 87, 26], Operations: [] Exploring Operation: 34+87=121, Resulting Numbers: [2, 26, 121] Generated Node #2: [2, 26, 121] from Operation: 34+87=121 Current State: 69:[2, 26, 121], Operations: ['34+87=121'] Exploring Operation: 2*26=52, Resulting Numbers: [121, 52] Generated Node #3: [121, 52] from Operation: 2*26=52 Current State: 69:[121, 52], Operations: ['34+87=121', '2*26=52'] Exploring Operation: 121-52=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 30, 13, 56, 80 ]
67
[ "30+13=43", "80-56=24", "43+24=67" ]
Current State: 67:[30, 13, 56, 80], Operations: [] Exploring Operation: 30+13=43, Resulting Numbers: [56, 80, 43] Generated Node #2: [56, 80, 43] from Operation: 30+13=43 Current State: 67:[56, 80, 43], Operations: ['30+13=43'] Exploring Operation: 80-56=24, Resulting Numbers: [43, 24] Generated Node #3: [43, 24] from Operation: 80-56=24 Current State: 67:[43, 24], Operations: ['30+13=43', '80-56=24'] Exploring Operation: 43+24=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 77, 39, 40, 4 ]
19
[ "77+39=116", "116-40=76", "76/4=19" ]
Current State: 19:[77, 39, 40, 4], Operations: [] Exploring Operation: 77+39=116, Resulting Numbers: [40, 4, 116] Generated Node #2: [40, 4, 116] from Operation: 77+39=116 Current State: 19:[40, 4, 116], Operations: ['77+39=116'] Exploring Operation: 116-40=76, Resulting Numbers: [4, 76] Generated Node #3: [4, 76] from Operation: 116-40=76 Current State: 19:[4, 76], Operations: ['77+39=116', '116-40=76'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4