Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 65, 59, 38, 49 ]
17
[ "65-59=6", "49-38=11", "6+11=17" ]
Current State: 17:[65, 59, 38, 49], Operations: [] Exploring Operation: 65-59=6, Resulting Numbers: [38, 49, 6] Generated Node #2: [38, 49, 6] from Operation: 65-59=6 Current State: 17:[38, 49, 6], Operations: ['65-59=6'] Exploring Operation: 49-38=11, Resulting Numbers: [6, 11] Generated Node #3: [6, 11] from Operation: 49-38=11 Current State: 17:[6, 11], Operations: ['65-59=6', '49-38=11'] Exploring Operation: 6+11=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 22, 1, 58, 75 ]
17
[ "22*58=1276", "1276-1=1275", "1275/75=17" ]
Current State: 17:[22, 1, 58, 75], Operations: [] Exploring Operation: 22*58=1276, Resulting Numbers: [1, 75, 1276] Generated Node #2: [1, 75, 1276] from Operation: 22*58=1276 Current State: 17:[1, 75, 1276], Operations: ['22*58=1276'] Exploring Operation: 1276-1=1275, Resulting Numbers: [75, 1275] Generated Node #3: [75, 1275] from Operation: 1276-1=1275 Current State: 17:[75, 1275], Operations: ['22*58=1276', '1276-1=1275'] Exploring Operation: 1275/75=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 42, 66, 27, 28 ]
71
[ "66*28=1848", "1848/42=44", "27+44=71" ]
Current State: 71:[42, 66, 27, 28], Operations: [] Exploring Operation: 66*28=1848, Resulting Numbers: [42, 27, 1848] Generated Node #2: [42, 27, 1848] from Operation: 66*28=1848 Current State: 71:[42, 27, 1848], Operations: ['66*28=1848'] Exploring Operation: 1848/42=44, Resulting Numbers: [27, 44] Generated Node #3: [27, 44] from Operation: 1848/42=44 Current State: 71:[27, 44], Operations: ['66*28=1848', '1848/42=44'] Exploring Operation: 27+44=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 94, 55, 15, 5 ]
86
[ "55-15=40", "40/5=8", "94-8=86" ]
Current State: 86:[94, 55, 15, 5], Operations: [] Exploring Operation: 55-15=40, Resulting Numbers: [94, 5, 40] Generated Node #2: [94, 5, 40] from Operation: 55-15=40 Current State: 86:[94, 5, 40], Operations: ['55-15=40'] Exploring Operation: 40/5=8, Resulting Numbers: [94, 8] Generated Node #3: [94, 8] from Operation: 40/5=8 Current State: 86:[94, 8], Operations: ['55-15=40', '40/5=8'] Exploring Operation: 94-8=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 32, 64, 25, 46 ]
25
[ "32+64=96", "25+46=71", "96-71=25" ]
Current State: 25:[32, 64, 25, 46], Operations: [] Exploring Operation: 32+64=96, Resulting Numbers: [25, 46, 96] Generated Node #2: [25, 46, 96] from Operation: 32+64=96 Current State: 25:[25, 46, 96], Operations: ['32+64=96'] Exploring Operation: 25+46=71, Resulting Numbers: [96, 71] Generated Node #3: [96, 71] from Operation: 25+46=71 Current State: 25:[96, 71], Operations: ['32+64=96', '25+46=71'] Exploring Operation: 96-71=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 14, 72, 63, 28 ]
12
[ "14*72=1008", "1008/63=16", "28-16=12" ]
Current State: 12:[14, 72, 63, 28], Operations: [] Exploring Operation: 14*72=1008, Resulting Numbers: [63, 28, 1008] Generated Node #2: [63, 28, 1008] from Operation: 14*72=1008 Current State: 12:[63, 28, 1008], Operations: ['14*72=1008'] Exploring Operation: 1008/63=16, Resulting Numbers: [28, 16] Generated Node #3: [28, 16] from Operation: 1008/63=16 Current State: 12:[28, 16], Operations: ['14*72=1008', '1008/63=16'] Exploring Operation: 28-16=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 68, 48, 46, 79 ]
83
[ "68+48=116", "79-46=33", "116-33=83" ]
Current State: 83:[68, 48, 46, 79], Operations: [] Exploring Operation: 68+48=116, Resulting Numbers: [46, 79, 116] Generated Node #2: [46, 79, 116] from Operation: 68+48=116 Current State: 83:[46, 79, 116], Operations: ['68+48=116'] Exploring Operation: 79-46=33, Resulting Numbers: [116, 33] Generated Node #3: [116, 33] from Operation: 79-46=33 Current State: 83:[116, 33], Operations: ['68+48=116', '79-46=33'] Exploring Operation: 116-33=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 16, 2, 21, 64 ]
74
[ "21-16=5", "2*5=10", "64+10=74" ]
Current State: 74:[16, 2, 21, 64], Operations: [] Exploring Operation: 21-16=5, Resulting Numbers: [2, 64, 5] Generated Node #2: [2, 64, 5] from Operation: 21-16=5 Current State: 74:[2, 64, 5], Operations: ['21-16=5'] Exploring Operation: 2*5=10, Resulting Numbers: [64, 10] Generated Node #3: [64, 10] from Operation: 2*5=10 Current State: 74:[64, 10], Operations: ['21-16=5', '2*5=10'] Exploring Operation: 64+10=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 6, 16, 84, 4 ]
45
[ "6*16=96", "84+96=180", "180/4=45" ]
Current State: 45:[6, 16, 84, 4], Operations: [] Exploring Operation: 6*16=96, Resulting Numbers: [84, 4, 96] Generated Node #2: [84, 4, 96] from Operation: 6*16=96 Current State: 45:[84, 4, 96], Operations: ['6*16=96'] Exploring Operation: 84+96=180, Resulting Numbers: [4, 180] Generated Node #3: [4, 180] from Operation: 84+96=180 Current State: 45:[4, 180], Operations: ['6*16=96', '84+96=180'] Exploring Operation: 180/4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 62, 9, 18, 81 ]
89
[ "62+18=80", "81/9=9", "80+9=89" ]
Current State: 89:[62, 9, 18, 81], Operations: [] Exploring Operation: 62+18=80, Resulting Numbers: [9, 81, 80] Generated Node #2: [9, 81, 80] from Operation: 62+18=80 Current State: 89:[9, 81, 80], Operations: ['62+18=80'] Exploring Operation: 81/9=9, Resulting Numbers: [80, 9] Generated Node #3: [80, 9] from Operation: 81/9=9 Current State: 89:[80, 9], Operations: ['62+18=80', '81/9=9'] Exploring Operation: 80+9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 74, 75, 48, 59 ]
11
[ "75-74=1", "59-48=11", "1*11=11" ]
Current State: 11:[74, 75, 48, 59], Operations: [] Exploring Operation: 75-74=1, Resulting Numbers: [48, 59, 1] Generated Node #2: [48, 59, 1] from Operation: 75-74=1 Current State: 11:[48, 59, 1], Operations: ['75-74=1'] Exploring Operation: 59-48=11, Resulting Numbers: [1, 11] Generated Node #3: [1, 11] from Operation: 59-48=11 Current State: 11:[1, 11], Operations: ['75-74=1', '59-48=11'] Exploring Operation: 1*11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 81, 67, 1, 99 ]
54
[ "67-1=66", "81*66=5346", "5346/99=54" ]
Current State: 54:[81, 67, 1, 99], Operations: [] Exploring Operation: 67-1=66, Resulting Numbers: [81, 99, 66] Generated Node #2: [81, 99, 66] from Operation: 67-1=66 Current State: 54:[81, 99, 66], Operations: ['67-1=66'] Exploring Operation: 81*66=5346, Resulting Numbers: [99, 5346] Generated Node #3: [99, 5346] from Operation: 81*66=5346 Current State: 54:[99, 5346], Operations: ['67-1=66', '81*66=5346'] Exploring Operation: 5346/99=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 10, 43, 87, 29 ]
30
[ "43-10=33", "87/29=3", "33-3=30" ]
Current State: 30:[10, 43, 87, 29], Operations: [] Exploring Operation: 43-10=33, Resulting Numbers: [87, 29, 33] Generated Node #2: [87, 29, 33] from Operation: 43-10=33 Current State: 30:[87, 29, 33], Operations: ['43-10=33'] Exploring Operation: 87/29=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 87/29=3 Current State: 30:[33, 3], Operations: ['43-10=33', '87/29=3'] Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 45, 82, 34, 39 ]
32
[ "82-45=37", "39-34=5", "37-5=32" ]
Current State: 32:[45, 82, 34, 39], Operations: [] Exploring Operation: 82-45=37, Resulting Numbers: [34, 39, 37] Generated Node #2: [34, 39, 37] from Operation: 82-45=37 Current State: 32:[34, 39, 37], Operations: ['82-45=37'] Exploring Operation: 39-34=5, Resulting Numbers: [37, 5] Generated Node #3: [37, 5] from Operation: 39-34=5 Current State: 32:[37, 5], Operations: ['82-45=37', '39-34=5'] Exploring Operation: 37-5=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 22, 39, 12, 92 ]
87
[ "39-22=17", "12+92=104", "104-17=87" ]
Current State: 87:[22, 39, 12, 92], Operations: [] Exploring Operation: 39-22=17, Resulting Numbers: [12, 92, 17] Generated Node #2: [12, 92, 17] from Operation: 39-22=17 Current State: 87:[12, 92, 17], Operations: ['39-22=17'] Exploring Operation: 12+92=104, Resulting Numbers: [17, 104] Generated Node #3: [17, 104] from Operation: 12+92=104 Current State: 87:[17, 104], Operations: ['39-22=17', '12+92=104'] Exploring Operation: 104-17=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 7, 99, 39, 8 ]
45
[ "99-7=92", "39+8=47", "92-47=45" ]
Current State: 45:[7, 99, 39, 8], Operations: [] Exploring Operation: 99-7=92, Resulting Numbers: [39, 8, 92] Generated Node #2: [39, 8, 92] from Operation: 99-7=92 Current State: 45:[39, 8, 92], Operations: ['99-7=92'] Exploring Operation: 39+8=47, Resulting Numbers: [92, 47] Generated Node #3: [92, 47] from Operation: 39+8=47 Current State: 45:[92, 47], Operations: ['99-7=92', '39+8=47'] Exploring Operation: 92-47=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 92, 81, 44, 88 ]
52
[ "92-81=11", "88/11=8", "44+8=52" ]
Current State: 52:[92, 81, 44, 88], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [44, 88, 11] Generated Node #2: [44, 88, 11] from Operation: 92-81=11 Current State: 52:[44, 88, 11], Operations: ['92-81=11'] Exploring Operation: 88/11=8, Resulting Numbers: [44, 8] Generated Node #3: [44, 8] from Operation: 88/11=8 Current State: 52:[44, 8], Operations: ['92-81=11', '88/11=8'] Exploring Operation: 44+8=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 35, 78, 29, 27 ]
99
[ "78-35=43", "29+27=56", "43+56=99" ]
Current State: 99:[35, 78, 29, 27], Operations: [] Exploring Operation: 78-35=43, Resulting Numbers: [29, 27, 43] Generated Node #2: [29, 27, 43] from Operation: 78-35=43 Current State: 99:[29, 27, 43], Operations: ['78-35=43'] Exploring Operation: 29+27=56, Resulting Numbers: [43, 56] Generated Node #3: [43, 56] from Operation: 29+27=56 Current State: 99:[43, 56], Operations: ['78-35=43', '29+27=56'] Exploring Operation: 43+56=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 8, 82, 53, 37 ]
74
[ "8+82=90", "53-37=16", "90-16=74" ]
Current State: 74:[8, 82, 53, 37], Operations: [] Exploring Operation: 8+82=90, Resulting Numbers: [53, 37, 90] Generated Node #2: [53, 37, 90] from Operation: 8+82=90 Current State: 74:[53, 37, 90], Operations: ['8+82=90'] Exploring Operation: 53-37=16, Resulting Numbers: [90, 16] Generated Node #3: [90, 16] from Operation: 53-37=16 Current State: 74:[90, 16], Operations: ['8+82=90', '53-37=16'] Exploring Operation: 90-16=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 77, 86, 63, 43 ]
91
[ "77*86=6622", "6622/43=154", "154-63=91" ]
Current State: 91:[77, 86, 63, 43], Operations: [] Exploring Operation: 77*86=6622, Resulting Numbers: [63, 43, 6622] Generated Node #2: [63, 43, 6622] from Operation: 77*86=6622 Current State: 91:[63, 43, 6622], Operations: ['77*86=6622'] Exploring Operation: 6622/43=154, Resulting Numbers: [63, 154] Generated Node #3: [63, 154] from Operation: 6622/43=154 Current State: 91:[63, 154], Operations: ['77*86=6622', '6622/43=154'] Exploring Operation: 154-63=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 44, 98, 76, 82 ]
84
[ "98-76=22", "44/22=2", "82+2=84" ]
Current State: 84:[44, 98, 76, 82], Operations: [] Exploring Operation: 98-76=22, Resulting Numbers: [44, 82, 22] Generated Node #2: [44, 82, 22] from Operation: 98-76=22 Current State: 84:[44, 82, 22], Operations: ['98-76=22'] Exploring Operation: 44/22=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 44/22=2 Current State: 84:[82, 2], Operations: ['98-76=22', '44/22=2'] Exploring Operation: 82+2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 33, 26, 4, 90 ]
68
[ "33*4=132", "90-26=64", "132-64=68" ]
Current State: 68:[33, 26, 4, 90], Operations: [] Exploring Operation: 33*4=132, Resulting Numbers: [26, 90, 132] Generated Node #2: [26, 90, 132] from Operation: 33*4=132 Current State: 68:[26, 90, 132], Operations: ['33*4=132'] Exploring Operation: 90-26=64, Resulting Numbers: [132, 64] Generated Node #3: [132, 64] from Operation: 90-26=64 Current State: 68:[132, 64], Operations: ['33*4=132', '90-26=64'] Exploring Operation: 132-64=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 30, 51, 56, 92 ]
57
[ "51-30=21", "92-56=36", "21+36=57" ]
Current State: 57:[30, 51, 56, 92], Operations: [] Exploring Operation: 51-30=21, Resulting Numbers: [56, 92, 21] Generated Node #2: [56, 92, 21] from Operation: 51-30=21 Current State: 57:[56, 92, 21], Operations: ['51-30=21'] Exploring Operation: 92-56=36, Resulting Numbers: [21, 36] Generated Node #3: [21, 36] from Operation: 92-56=36 Current State: 57:[21, 36], Operations: ['51-30=21', '92-56=36'] Exploring Operation: 21+36=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 5, 49, 66, 62 ]
93
[ "49-5=44", "66*62=4092", "4092/44=93" ]
Current State: 93:[5, 49, 66, 62], Operations: [] Exploring Operation: 49-5=44, Resulting Numbers: [66, 62, 44] Generated Node #2: [66, 62, 44] from Operation: 49-5=44 Current State: 93:[66, 62, 44], Operations: ['49-5=44'] Exploring Operation: 66*62=4092, Resulting Numbers: [44, 4092] Generated Node #3: [44, 4092] from Operation: 66*62=4092 Current State: 93:[44, 4092], Operations: ['49-5=44', '66*62=4092'] Exploring Operation: 4092/44=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 7, 78, 62, 89 ]
58
[ "7+78=85", "89-62=27", "85-27=58" ]
Current State: 58:[7, 78, 62, 89], Operations: [] Exploring Operation: 7+78=85, Resulting Numbers: [62, 89, 85] Generated Node #2: [62, 89, 85] from Operation: 7+78=85 Current State: 58:[62, 89, 85], Operations: ['7+78=85'] Exploring Operation: 89-62=27, Resulting Numbers: [85, 27] Generated Node #3: [85, 27] from Operation: 89-62=27 Current State: 58:[85, 27], Operations: ['7+78=85', '89-62=27'] Exploring Operation: 85-27=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 19, 93, 69, 3 ]
46
[ "19+93=112", "69-3=66", "112-66=46" ]
Current State: 46:[19, 93, 69, 3], Operations: [] Exploring Operation: 19+93=112, Resulting Numbers: [69, 3, 112] Generated Node #2: [69, 3, 112] from Operation: 19+93=112 Current State: 46:[69, 3, 112], Operations: ['19+93=112'] Exploring Operation: 69-3=66, Resulting Numbers: [112, 66] Generated Node #3: [112, 66] from Operation: 69-3=66 Current State: 46:[112, 66], Operations: ['19+93=112', '69-3=66'] Exploring Operation: 112-66=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 27, 38, 28, 48 ]
54
[ "28+48=76", "27*76=2052", "2052/38=54" ]
Current State: 54:[27, 38, 28, 48], Operations: [] Exploring Operation: 28+48=76, Resulting Numbers: [27, 38, 76] Generated Node #2: [27, 38, 76] from Operation: 28+48=76 Current State: 54:[27, 38, 76], Operations: ['28+48=76'] Exploring Operation: 27*76=2052, Resulting Numbers: [38, 2052] Generated Node #3: [38, 2052] from Operation: 27*76=2052 Current State: 54:[38, 2052], Operations: ['28+48=76', '27*76=2052'] Exploring Operation: 2052/38=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 7, 30, 41, 24 ]
96
[ "7+30=37", "41-37=4", "24*4=96" ]
Current State: 96:[7, 30, 41, 24], Operations: [] Exploring Operation: 7+30=37, Resulting Numbers: [41, 24, 37] Generated Node #2: [41, 24, 37] from Operation: 7+30=37 Current State: 96:[41, 24, 37], Operations: ['7+30=37'] Exploring Operation: 41-37=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 41-37=4 Current State: 96:[24, 4], Operations: ['7+30=37', '41-37=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 64, 60, 96, 63 ]
36
[ "64-63=1", "96-60=36", "1*36=36" ]
Current State: 36:[64, 60, 96, 63], Operations: [] Exploring Operation: 64-63=1, Resulting Numbers: [60, 96, 1] Generated Node #2: [60, 96, 1] from Operation: 64-63=1 Current State: 36:[60, 96, 1], Operations: ['64-63=1'] Exploring Operation: 96-60=36, Resulting Numbers: [1, 36] Generated Node #3: [1, 36] from Operation: 96-60=36 Current State: 36:[1, 36], Operations: ['64-63=1', '96-60=36'] Exploring Operation: 1*36=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 81, 39, 92, 8 ]
58
[ "81-39=42", "92+8=100", "100-42=58" ]
Current State: 58:[81, 39, 92, 8], Operations: [] Exploring Operation: 81-39=42, Resulting Numbers: [92, 8, 42] Generated Node #2: [92, 8, 42] from Operation: 81-39=42 Current State: 58:[92, 8, 42], Operations: ['81-39=42'] Exploring Operation: 92+8=100, Resulting Numbers: [42, 100] Generated Node #3: [42, 100] from Operation: 92+8=100 Current State: 58:[42, 100], Operations: ['81-39=42', '92+8=100'] Exploring Operation: 100-42=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 70, 23, 11, 66 ]
87
[ "70+23=93", "66/11=6", "93-6=87" ]
Current State: 87:[70, 23, 11, 66], Operations: [] Exploring Operation: 70+23=93, Resulting Numbers: [11, 66, 93] Generated Node #2: [11, 66, 93] from Operation: 70+23=93 Current State: 87:[11, 66, 93], Operations: ['70+23=93'] Exploring Operation: 66/11=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 66/11=6 Current State: 87:[93, 6], Operations: ['70+23=93', '66/11=6'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 90, 80, 76, 71 ]
23
[ "90+80=170", "76+71=147", "170-147=23" ]
Current State: 23:[90, 80, 76, 71], Operations: [] Exploring Operation: 90+80=170, Resulting Numbers: [76, 71, 170] Generated Node #2: [76, 71, 170] from Operation: 90+80=170 Current State: 23:[76, 71, 170], Operations: ['90+80=170'] Exploring Operation: 76+71=147, Resulting Numbers: [170, 147] Generated Node #3: [170, 147] from Operation: 76+71=147 Current State: 23:[170, 147], Operations: ['90+80=170', '76+71=147'] Exploring Operation: 170-147=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 87, 54, 10, 16 ]
78
[ "16-10=6", "54/6=9", "87-9=78" ]
Current State: 78:[87, 54, 10, 16], Operations: [] Exploring Operation: 16-10=6, Resulting Numbers: [87, 54, 6] Generated Node #2: [87, 54, 6] from Operation: 16-10=6 Current State: 78:[87, 54, 6], Operations: ['16-10=6'] Exploring Operation: 54/6=9, Resulting Numbers: [87, 9] Generated Node #3: [87, 9] from Operation: 54/6=9 Current State: 78:[87, 9], Operations: ['16-10=6', '54/6=9'] Exploring Operation: 87-9=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 39, 31, 30, 53 ]
75
[ "39-31=8", "30+53=83", "83-8=75" ]
Current State: 75:[39, 31, 30, 53], Operations: [] Exploring Operation: 39-31=8, Resulting Numbers: [30, 53, 8] Generated Node #2: [30, 53, 8] from Operation: 39-31=8 Current State: 75:[30, 53, 8], Operations: ['39-31=8'] Exploring Operation: 30+53=83, Resulting Numbers: [8, 83] Generated Node #3: [8, 83] from Operation: 30+53=83 Current State: 75:[8, 83], Operations: ['39-31=8', '30+53=83'] Exploring Operation: 83-8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 86, 87, 68, 22 ]
89
[ "87-86=1", "68+22=90", "90-1=89" ]
Current State: 89:[86, 87, 68, 22], Operations: [] Exploring Operation: 87-86=1, Resulting Numbers: [68, 22, 1] Generated Node #2: [68, 22, 1] from Operation: 87-86=1 Current State: 89:[68, 22, 1], Operations: ['87-86=1'] Exploring Operation: 68+22=90, Resulting Numbers: [1, 90] Generated Node #3: [1, 90] from Operation: 68+22=90 Current State: 89:[1, 90], Operations: ['87-86=1', '68+22=90'] Exploring Operation: 90-1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 81, 5, 62, 68 ]
51
[ "68-62=6", "5*6=30", "81-30=51" ]
Current State: 51:[81, 5, 62, 68], Operations: [] Exploring Operation: 68-62=6, Resulting Numbers: [81, 5, 6] Generated Node #2: [81, 5, 6] from Operation: 68-62=6 Current State: 51:[81, 5, 6], Operations: ['68-62=6'] Exploring Operation: 5*6=30, Resulting Numbers: [81, 30] Generated Node #3: [81, 30] from Operation: 5*6=30 Current State: 51:[81, 30], Operations: ['68-62=6', '5*6=30'] Exploring Operation: 81-30=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 84, 24, 55, 27 ]
48
[ "84-55=29", "29-27=2", "24*2=48" ]
Current State: 48:[84, 24, 55, 27], Operations: [] Exploring Operation: 84-55=29, Resulting Numbers: [24, 27, 29] Generated Node #2: [24, 27, 29] from Operation: 84-55=29 Current State: 48:[24, 27, 29], Operations: ['84-55=29'] Exploring Operation: 29-27=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 29-27=2 Current State: 48:[24, 2], Operations: ['84-55=29', '29-27=2'] Exploring Operation: 24*2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 41, 43, 31, 41 ]
51
[ "43-41=2", "41*2=82", "82-31=51" ]
Current State: 51:[41, 43, 31, 41], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [31, 2] Generated Node #2: [31, 2] from Operation: 43-41=2 Current State: 51:[31, 2], Operations: ['43-41=2'] Exploring Operation: 41*2=82, Resulting Numbers: [31, 82] Generated Node #3: [31, 82] from Operation: 41*2=82 Current State: 51:[31, 82], Operations: ['43-41=2', '41*2=82'] Exploring Operation: 82-31=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 82, 43, 38, 85 ]
71
[ "85-82=3", "38*3=114", "114-43=71" ]
Current State: 71:[82, 43, 38, 85], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [43, 38, 3] Generated Node #2: [43, 38, 3] from Operation: 85-82=3 Current State: 71:[43, 38, 3], Operations: ['85-82=3'] Exploring Operation: 38*3=114, Resulting Numbers: [43, 114] Generated Node #3: [43, 114] from Operation: 38*3=114 Current State: 71:[43, 114], Operations: ['85-82=3', '38*3=114'] Exploring Operation: 114-43=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 25, 15, 63, 50 ]
46
[ "50/25=2", "63-15=48", "48-2=46" ]
Current State: 46:[25, 15, 63, 50], Operations: [] Exploring Operation: 50/25=2, Resulting Numbers: [15, 63, 2] Generated Node #2: [15, 63, 2] from Operation: 50/25=2 Current State: 46:[15, 63, 2], Operations: ['50/25=2'] Exploring Operation: 63-15=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 63-15=48 Current State: 46:[2, 48], Operations: ['50/25=2', '63-15=48'] Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 49, 65, 45, 57 ]
86
[ "65-49=16", "45+57=102", "102-16=86" ]
Current State: 86:[49, 65, 45, 57], Operations: [] Exploring Operation: 65-49=16, Resulting Numbers: [45, 57, 16] Generated Node #2: [45, 57, 16] from Operation: 65-49=16 Current State: 86:[45, 57, 16], Operations: ['65-49=16'] Exploring Operation: 45+57=102, Resulting Numbers: [16, 102] Generated Node #3: [16, 102] from Operation: 45+57=102 Current State: 86:[16, 102], Operations: ['65-49=16', '45+57=102'] Exploring Operation: 102-16=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 4, 9, 1, 69 ]
63
[ "9-4=5", "69-1=68", "68-5=63" ]
Current State: 63:[4, 9, 1, 69], Operations: [] Exploring Operation: 9-4=5, Resulting Numbers: [1, 69, 5] Generated Node #2: [1, 69, 5] from Operation: 9-4=5 Current State: 63:[1, 69, 5], Operations: ['9-4=5'] Exploring Operation: 69-1=68, Resulting Numbers: [5, 68] Generated Node #3: [5, 68] from Operation: 69-1=68 Current State: 63:[5, 68], Operations: ['9-4=5', '69-1=68'] Exploring Operation: 68-5=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 41, 2, 85, 7 ]
35
[ "41+2=43", "85-7=78", "78-43=35" ]
Current State: 35:[41, 2, 85, 7], Operations: [] Exploring Operation: 41+2=43, Resulting Numbers: [85, 7, 43] Generated Node #2: [85, 7, 43] from Operation: 41+2=43 Current State: 35:[85, 7, 43], Operations: ['41+2=43'] Exploring Operation: 85-7=78, Resulting Numbers: [43, 78] Generated Node #3: [43, 78] from Operation: 85-7=78 Current State: 35:[43, 78], Operations: ['41+2=43', '85-7=78'] Exploring Operation: 78-43=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 44, 85, 79, 43 ]
93
[ "44+85=129", "79-43=36", "129-36=93" ]
Current State: 93:[44, 85, 79, 43], Operations: [] Exploring Operation: 44+85=129, Resulting Numbers: [79, 43, 129] Generated Node #2: [79, 43, 129] from Operation: 44+85=129 Current State: 93:[79, 43, 129], Operations: ['44+85=129'] Exploring Operation: 79-43=36, Resulting Numbers: [129, 36] Generated Node #3: [129, 36] from Operation: 79-43=36 Current State: 93:[129, 36], Operations: ['44+85=129', '79-43=36'] Exploring Operation: 129-36=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 50, 19, 14, 22 ]
77
[ "50+19=69", "22-14=8", "69+8=77" ]
Current State: 77:[50, 19, 14, 22], Operations: [] Exploring Operation: 50+19=69, Resulting Numbers: [14, 22, 69] Generated Node #2: [14, 22, 69] from Operation: 50+19=69 Current State: 77:[14, 22, 69], Operations: ['50+19=69'] Exploring Operation: 22-14=8, Resulting Numbers: [69, 8] Generated Node #3: [69, 8] from Operation: 22-14=8 Current State: 77:[69, 8], Operations: ['50+19=69', '22-14=8'] Exploring Operation: 69+8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 8, 48, 4, 65 ]
95
[ "48-8=40", "4*40=160", "160-65=95" ]
Current State: 95:[8, 48, 4, 65], Operations: [] Exploring Operation: 48-8=40, Resulting Numbers: [4, 65, 40] Generated Node #2: [4, 65, 40] from Operation: 48-8=40 Current State: 95:[4, 65, 40], Operations: ['48-8=40'] Exploring Operation: 4*40=160, Resulting Numbers: [65, 160] Generated Node #3: [65, 160] from Operation: 4*40=160 Current State: 95:[65, 160], Operations: ['48-8=40', '4*40=160'] Exploring Operation: 160-65=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 98, 96, 95, 43 ]
75
[ "98-95=3", "96/3=32", "43+32=75" ]
Current State: 75:[98, 96, 95, 43], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [96, 43, 3] Generated Node #2: [96, 43, 3] from Operation: 98-95=3 Current State: 75:[96, 43, 3], Operations: ['98-95=3'] Exploring Operation: 96/3=32, Resulting Numbers: [43, 32] Generated Node #3: [43, 32] from Operation: 96/3=32 Current State: 75:[43, 32], Operations: ['98-95=3', '96/3=32'] Exploring Operation: 43+32=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 50, 46, 69, 45 ]
18
[ "50+46=96", "69+45=114", "114-96=18" ]
Current State: 18:[50, 46, 69, 45], Operations: [] Exploring Operation: 50+46=96, Resulting Numbers: [69, 45, 96] Generated Node #2: [69, 45, 96] from Operation: 50+46=96 Current State: 18:[69, 45, 96], Operations: ['50+46=96'] Exploring Operation: 69+45=114, Resulting Numbers: [96, 114] Generated Node #3: [96, 114] from Operation: 69+45=114 Current State: 18:[96, 114], Operations: ['50+46=96', '69+45=114'] Exploring Operation: 114-96=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 12, 2, 96, 10 ]
22
[ "12*10=120", "2+96=98", "120-98=22" ]
Current State: 22:[12, 2, 96, 10], Operations: [] Exploring Operation: 12*10=120, Resulting Numbers: [2, 96, 120] Generated Node #2: [2, 96, 120] from Operation: 12*10=120 Current State: 22:[2, 96, 120], Operations: ['12*10=120'] Exploring Operation: 2+96=98, Resulting Numbers: [120, 98] Generated Node #3: [120, 98] from Operation: 2+96=98 Current State: 22:[120, 98], Operations: ['12*10=120', '2+96=98'] Exploring Operation: 120-98=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 69, 69, 18, 69 ]
87
[ "69+69=138", "69-18=51", "138-51=87" ]
Current State: 87:[69, 69, 18, 69], Operations: [] Exploring Operation: 69+69=138, Resulting Numbers: [18, 138] Generated Node #2: [18, 138] from Operation: 69+69=138 Current State: 87:[18, 138], Operations: ['69+69=138'] Exploring Operation: 69-18=51, Resulting Numbers: [138, 51] Generated Node #3: [138, 51] from Operation: 69-18=51 Current State: 87:[138, 51], Operations: ['69+69=138', '69-18=51'] Exploring Operation: 138-51=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 22, 73, 79, 5 ]
11
[ "22+73=95", "79+5=84", "95-84=11" ]
Current State: 11:[22, 73, 79, 5], Operations: [] Exploring Operation: 22+73=95, Resulting Numbers: [79, 5, 95] Generated Node #2: [79, 5, 95] from Operation: 22+73=95 Current State: 11:[79, 5, 95], Operations: ['22+73=95'] Exploring Operation: 79+5=84, Resulting Numbers: [95, 84] Generated Node #3: [95, 84] from Operation: 79+5=84 Current State: 11:[95, 84], Operations: ['22+73=95', '79+5=84'] Exploring Operation: 95-84=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 52, 31, 26, 30 ]
35
[ "52-31=21", "26+30=56", "56-21=35" ]
Current State: 35:[52, 31, 26, 30], Operations: [] Exploring Operation: 52-31=21, Resulting Numbers: [26, 30, 21] Generated Node #2: [26, 30, 21] from Operation: 52-31=21 Current State: 35:[26, 30, 21], Operations: ['52-31=21'] Exploring Operation: 26+30=56, Resulting Numbers: [21, 56] Generated Node #3: [21, 56] from Operation: 26+30=56 Current State: 35:[21, 56], Operations: ['52-31=21', '26+30=56'] Exploring Operation: 56-21=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 15, 6, 10, 72 ]
68
[ "6*10=60", "60/15=4", "72-4=68" ]
Current State: 68:[15, 6, 10, 72], Operations: [] Exploring Operation: 6*10=60, Resulting Numbers: [15, 72, 60] Generated Node #2: [15, 72, 60] from Operation: 6*10=60 Current State: 68:[15, 72, 60], Operations: ['6*10=60'] Exploring Operation: 60/15=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 60/15=4 Current State: 68:[72, 4], Operations: ['6*10=60', '60/15=4'] Exploring Operation: 72-4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 54, 24, 48, 27 ]
30
[ "27-24=3", "54/3=18", "48-18=30" ]
Current State: 30:[54, 24, 48, 27], Operations: [] Exploring Operation: 27-24=3, Resulting Numbers: [54, 48, 3] Generated Node #2: [54, 48, 3] from Operation: 27-24=3 Current State: 30:[54, 48, 3], Operations: ['27-24=3'] Exploring Operation: 54/3=18, Resulting Numbers: [48, 18] Generated Node #3: [48, 18] from Operation: 54/3=18 Current State: 30:[48, 18], Operations: ['27-24=3', '54/3=18'] Exploring Operation: 48-18=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 56, 21, 14, 28 ]
17
[ "28-14=14", "56/14=4", "21-4=17" ]
Current State: 17:[56, 21, 14, 28], Operations: [] Exploring Operation: 28-14=14, Resulting Numbers: [56, 21, 14] Generated Node #2: [56, 21, 14] from Operation: 28-14=14 Current State: 17:[56, 21, 14], Operations: ['28-14=14'] Exploring Operation: 56/14=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 56/14=4 Current State: 17:[21, 4], Operations: ['28-14=14', '56/14=4'] Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 52, 50, 8, 54 ]
46
[ "54-52=2", "8/2=4", "50-4=46" ]
Current State: 46:[52, 50, 8, 54], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [50, 8, 2] Generated Node #2: [50, 8, 2] from Operation: 54-52=2 Current State: 46:[50, 8, 2], Operations: ['54-52=2'] Exploring Operation: 8/2=4, Resulting Numbers: [50, 4] Generated Node #3: [50, 4] from Operation: 8/2=4 Current State: 46:[50, 4], Operations: ['54-52=2', '8/2=4'] Exploring Operation: 50-4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 90, 83, 44, 5 ]
47
[ "90+83=173", "44*5=220", "220-173=47" ]
Current State: 47:[90, 83, 44, 5], Operations: [] Exploring Operation: 90+83=173, Resulting Numbers: [44, 5, 173] Generated Node #2: [44, 5, 173] from Operation: 90+83=173 Current State: 47:[44, 5, 173], Operations: ['90+83=173'] Exploring Operation: 44*5=220, Resulting Numbers: [173, 220] Generated Node #3: [173, 220] from Operation: 44*5=220 Current State: 47:[173, 220], Operations: ['90+83=173', '44*5=220'] Exploring Operation: 220-173=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 20, 35, 9, 85 ]
39
[ "20+35=55", "9+85=94", "94-55=39" ]
Current State: 39:[20, 35, 9, 85], Operations: [] Exploring Operation: 20+35=55, Resulting Numbers: [9, 85, 55] Generated Node #2: [9, 85, 55] from Operation: 20+35=55 Current State: 39:[9, 85, 55], Operations: ['20+35=55'] Exploring Operation: 9+85=94, Resulting Numbers: [55, 94] Generated Node #3: [55, 94] from Operation: 9+85=94 Current State: 39:[55, 94], Operations: ['20+35=55', '9+85=94'] Exploring Operation: 94-55=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 2, 1, 12, 50 ]
38
[ "2-1=1", "50-12=38", "1*38=38" ]
Current State: 38:[2, 1, 12, 50], Operations: [] Exploring Operation: 2-1=1, Resulting Numbers: [12, 50, 1] Generated Node #2: [12, 50, 1] from Operation: 2-1=1 Current State: 38:[12, 50, 1], Operations: ['2-1=1'] Exploring Operation: 50-12=38, Resulting Numbers: [1, 38] Generated Node #3: [1, 38] from Operation: 50-12=38 Current State: 38:[1, 38], Operations: ['2-1=1', '50-12=38'] Exploring Operation: 1*38=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 22, 16, 53, 30 ]
40
[ "22+53=75", "16*75=1200", "1200/30=40" ]
Current State: 40:[22, 16, 53, 30], Operations: [] Exploring Operation: 22+53=75, Resulting Numbers: [16, 30, 75] Generated Node #2: [16, 30, 75] from Operation: 22+53=75 Current State: 40:[16, 30, 75], Operations: ['22+53=75'] Exploring Operation: 16*75=1200, Resulting Numbers: [30, 1200] Generated Node #3: [30, 1200] from Operation: 16*75=1200 Current State: 40:[30, 1200], Operations: ['22+53=75', '16*75=1200'] Exploring Operation: 1200/30=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 5, 67, 24, 48 ]
60
[ "67-5=62", "48/24=2", "62-2=60" ]
Current State: 60:[5, 67, 24, 48], Operations: [] Exploring Operation: 67-5=62, Resulting Numbers: [24, 48, 62] Generated Node #2: [24, 48, 62] from Operation: 67-5=62 Current State: 60:[24, 48, 62], Operations: ['67-5=62'] Exploring Operation: 48/24=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 48/24=2 Current State: 60:[62, 2], Operations: ['67-5=62', '48/24=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 18, 91, 22, 84 ]
94
[ "84-18=66", "66/22=3", "91+3=94" ]
Current State: 94:[18, 91, 22, 84], Operations: [] Exploring Operation: 84-18=66, Resulting Numbers: [91, 22, 66] Generated Node #2: [91, 22, 66] from Operation: 84-18=66 Current State: 94:[91, 22, 66], Operations: ['84-18=66'] Exploring Operation: 66/22=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 66/22=3 Current State: 94:[91, 3], Operations: ['84-18=66', '66/22=3'] Exploring Operation: 91+3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 53, 23, 48, 48 ]
77
[ "53+23=76", "48/48=1", "76+1=77" ]
Current State: 77:[53, 23, 48, 48], Operations: [] Exploring Operation: 53+23=76, Resulting Numbers: [48, 48, 76] Generated Node #2: [48, 48, 76] from Operation: 53+23=76 Current State: 77:[48, 48, 76], Operations: ['53+23=76'] Exploring Operation: 48/48=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 48/48=1 Current State: 77:[76, 1], Operations: ['53+23=76', '48/48=1'] Exploring Operation: 76+1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 5, 59, 38, 22 ]
80
[ "5+59=64", "38-22=16", "64+16=80" ]
Current State: 80:[5, 59, 38, 22], Operations: [] Exploring Operation: 5+59=64, Resulting Numbers: [38, 22, 64] Generated Node #2: [38, 22, 64] from Operation: 5+59=64 Current State: 80:[38, 22, 64], Operations: ['5+59=64'] Exploring Operation: 38-22=16, Resulting Numbers: [64, 16] Generated Node #3: [64, 16] from Operation: 38-22=16 Current State: 80:[64, 16], Operations: ['5+59=64', '38-22=16'] Exploring Operation: 64+16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 7, 2, 79, 19 ]
40
[ "19-2=17", "7*17=119", "119-79=40" ]
Current State: 40:[7, 2, 79, 19], Operations: [] Exploring Operation: 19-2=17, Resulting Numbers: [7, 79, 17] Generated Node #2: [7, 79, 17] from Operation: 19-2=17 Current State: 40:[7, 79, 17], Operations: ['19-2=17'] Exploring Operation: 7*17=119, Resulting Numbers: [79, 119] Generated Node #3: [79, 119] from Operation: 7*17=119 Current State: 40:[79, 119], Operations: ['19-2=17', '7*17=119'] Exploring Operation: 119-79=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 17, 58, 87, 74 ]
86
[ "17+58=75", "87+74=161", "161-75=86" ]
Current State: 86:[17, 58, 87, 74], Operations: [] Exploring Operation: 17+58=75, Resulting Numbers: [87, 74, 75] Generated Node #2: [87, 74, 75] from Operation: 17+58=75 Current State: 86:[87, 74, 75], Operations: ['17+58=75'] Exploring Operation: 87+74=161, Resulting Numbers: [75, 161] Generated Node #3: [75, 161] from Operation: 87+74=161 Current State: 86:[75, 161], Operations: ['17+58=75', '87+74=161'] Exploring Operation: 161-75=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 72, 19, 10, 94 ]
51
[ "72-19=53", "10+94=104", "104-53=51" ]
Current State: 51:[72, 19, 10, 94], Operations: [] Exploring Operation: 72-19=53, Resulting Numbers: [10, 94, 53] Generated Node #2: [10, 94, 53] from Operation: 72-19=53 Current State: 51:[10, 94, 53], Operations: ['72-19=53'] Exploring Operation: 10+94=104, Resulting Numbers: [53, 104] Generated Node #3: [53, 104] from Operation: 10+94=104 Current State: 51:[53, 104], Operations: ['72-19=53', '10+94=104'] Exploring Operation: 104-53=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 6, 18, 50, 53 ]
72
[ "6+18=24", "53-50=3", "24*3=72" ]
Current State: 72:[6, 18, 50, 53], Operations: [] Exploring Operation: 6+18=24, Resulting Numbers: [50, 53, 24] Generated Node #2: [50, 53, 24] from Operation: 6+18=24 Current State: 72:[50, 53, 24], Operations: ['6+18=24'] Exploring Operation: 53-50=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 53-50=3 Current State: 72:[24, 3], Operations: ['6+18=24', '53-50=3'] Exploring Operation: 24*3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 35, 26, 3, 35 ]
93
[ "35+26=61", "35-3=32", "61+32=93" ]
Current State: 93:[35, 26, 3, 35], Operations: [] Exploring Operation: 35+26=61, Resulting Numbers: [3, 61] Generated Node #2: [3, 61] from Operation: 35+26=61 Current State: 93:[3, 61], Operations: ['35+26=61'] Exploring Operation: 35-3=32, Resulting Numbers: [61, 32] Generated Node #3: [61, 32] from Operation: 35-3=32 Current State: 93:[61, 32], Operations: ['35+26=61', '35-3=32'] Exploring Operation: 61+32=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 85, 61, 16, 60 ]
20
[ "85-61=24", "60-16=44", "44-24=20" ]
Current State: 20:[85, 61, 16, 60], Operations: [] Exploring Operation: 85-61=24, Resulting Numbers: [16, 60, 24] Generated Node #2: [16, 60, 24] from Operation: 85-61=24 Current State: 20:[16, 60, 24], Operations: ['85-61=24'] Exploring Operation: 60-16=44, Resulting Numbers: [24, 44] Generated Node #3: [24, 44] from Operation: 60-16=44 Current State: 20:[24, 44], Operations: ['85-61=24', '60-16=44'] Exploring Operation: 44-24=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 11, 46, 32, 74 ]
71
[ "46-11=35", "32+74=106", "106-35=71" ]
Current State: 71:[11, 46, 32, 74], Operations: [] Exploring Operation: 46-11=35, Resulting Numbers: [32, 74, 35] Generated Node #2: [32, 74, 35] from Operation: 46-11=35 Current State: 71:[32, 74, 35], Operations: ['46-11=35'] Exploring Operation: 32+74=106, Resulting Numbers: [35, 106] Generated Node #3: [35, 106] from Operation: 32+74=106 Current State: 71:[35, 106], Operations: ['46-11=35', '32+74=106'] Exploring Operation: 106-35=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 4, 6, 95, 45 ]
91
[ "4*45=180", "95-6=89", "180-89=91" ]
Current State: 91:[4, 6, 95, 45], Operations: [] Exploring Operation: 4*45=180, Resulting Numbers: [6, 95, 180] Generated Node #2: [6, 95, 180] from Operation: 4*45=180 Current State: 91:[6, 95, 180], Operations: ['4*45=180'] Exploring Operation: 95-6=89, Resulting Numbers: [180, 89] Generated Node #3: [180, 89] from Operation: 95-6=89 Current State: 91:[180, 89], Operations: ['4*45=180', '95-6=89'] Exploring Operation: 180-89=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 63, 18, 78, 73 ]
76
[ "63+18=81", "78-73=5", "81-5=76" ]
Current State: 76:[63, 18, 78, 73], Operations: [] Exploring Operation: 63+18=81, Resulting Numbers: [78, 73, 81] Generated Node #2: [78, 73, 81] from Operation: 63+18=81 Current State: 76:[78, 73, 81], Operations: ['63+18=81'] Exploring Operation: 78-73=5, Resulting Numbers: [81, 5] Generated Node #3: [81, 5] from Operation: 78-73=5 Current State: 76:[81, 5], Operations: ['63+18=81', '78-73=5'] Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 14, 73, 97, 88 ]
96
[ "14+73=87", "97-88=9", "87+9=96" ]
Current State: 96:[14, 73, 97, 88], Operations: [] Exploring Operation: 14+73=87, Resulting Numbers: [97, 88, 87] Generated Node #2: [97, 88, 87] from Operation: 14+73=87 Current State: 96:[97, 88, 87], Operations: ['14+73=87'] Exploring Operation: 97-88=9, Resulting Numbers: [87, 9] Generated Node #3: [87, 9] from Operation: 97-88=9 Current State: 96:[87, 9], Operations: ['14+73=87', '97-88=9'] Exploring Operation: 87+9=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 10, 79, 41, 39 ]
99
[ "41-39=2", "10*2=20", "79+20=99" ]
Current State: 99:[10, 79, 41, 39], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [10, 79, 2] Generated Node #2: [10, 79, 2] from Operation: 41-39=2 Current State: 99:[10, 79, 2], Operations: ['41-39=2'] Exploring Operation: 10*2=20, Resulting Numbers: [79, 20] Generated Node #3: [79, 20] from Operation: 10*2=20 Current State: 99:[79, 20], Operations: ['41-39=2', '10*2=20'] Exploring Operation: 79+20=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 34, 11, 14, 28 ]
79
[ "34*28=952", "952/14=68", "11+68=79" ]
Current State: 79:[34, 11, 14, 28], Operations: [] Exploring Operation: 34*28=952, Resulting Numbers: [11, 14, 952] Generated Node #2: [11, 14, 952] from Operation: 34*28=952 Current State: 79:[11, 14, 952], Operations: ['34*28=952'] Exploring Operation: 952/14=68, Resulting Numbers: [11, 68] Generated Node #3: [11, 68] from Operation: 952/14=68 Current State: 79:[11, 68], Operations: ['34*28=952', '952/14=68'] Exploring Operation: 11+68=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 2, 87, 25, 81 ]
68
[ "2*87=174", "25+81=106", "174-106=68" ]
Current State: 68:[2, 87, 25, 81], Operations: [] Exploring Operation: 2*87=174, Resulting Numbers: [25, 81, 174] Generated Node #2: [25, 81, 174] from Operation: 2*87=174 Current State: 68:[25, 81, 174], Operations: ['2*87=174'] Exploring Operation: 25+81=106, Resulting Numbers: [174, 106] Generated Node #3: [174, 106] from Operation: 25+81=106 Current State: 68:[174, 106], Operations: ['2*87=174', '25+81=106'] Exploring Operation: 174-106=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 42, 3, 45, 24 ]
83
[ "42/3=14", "45+24=69", "14+69=83" ]
Current State: 83:[42, 3, 45, 24], Operations: [] Exploring Operation: 42/3=14, Resulting Numbers: [45, 24, 14] Generated Node #2: [45, 24, 14] from Operation: 42/3=14 Current State: 83:[45, 24, 14], Operations: ['42/3=14'] Exploring Operation: 45+24=69, Resulting Numbers: [14, 69] Generated Node #3: [14, 69] from Operation: 45+24=69 Current State: 83:[14, 69], Operations: ['42/3=14', '45+24=69'] Exploring Operation: 14+69=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 83, 55, 6, 36 ]
23
[ "83+55=138", "36/6=6", "138/6=23" ]
Current State: 23:[83, 55, 6, 36], Operations: [] Exploring Operation: 83+55=138, Resulting Numbers: [6, 36, 138] Generated Node #2: [6, 36, 138] from Operation: 83+55=138 Current State: 23:[6, 36, 138], Operations: ['83+55=138'] Exploring Operation: 36/6=6, Resulting Numbers: [138, 6] Generated Node #3: [138, 6] from Operation: 36/6=6 Current State: 23:[138, 6], Operations: ['83+55=138', '36/6=6'] Exploring Operation: 138/6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 25, 84, 77, 59 ]
27
[ "25+84=109", "77+59=136", "136-109=27" ]
Current State: 27:[25, 84, 77, 59], Operations: [] Exploring Operation: 25+84=109, Resulting Numbers: [77, 59, 109] Generated Node #2: [77, 59, 109] from Operation: 25+84=109 Current State: 27:[77, 59, 109], Operations: ['25+84=109'] Exploring Operation: 77+59=136, Resulting Numbers: [109, 136] Generated Node #3: [109, 136] from Operation: 77+59=136 Current State: 27:[109, 136], Operations: ['25+84=109', '77+59=136'] Exploring Operation: 136-109=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 34, 97, 54, 17 ]
60
[ "34+97=131", "54+17=71", "131-71=60" ]
Current State: 60:[34, 97, 54, 17], Operations: [] Exploring Operation: 34+97=131, Resulting Numbers: [54, 17, 131] Generated Node #2: [54, 17, 131] from Operation: 34+97=131 Current State: 60:[54, 17, 131], Operations: ['34+97=131'] Exploring Operation: 54+17=71, Resulting Numbers: [131, 71] Generated Node #3: [131, 71] from Operation: 54+17=71 Current State: 60:[131, 71], Operations: ['34+97=131', '54+17=71'] Exploring Operation: 131-71=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 66, 57, 11, 41 ]
61
[ "66-57=9", "11+41=52", "9+52=61" ]
Current State: 61:[66, 57, 11, 41], Operations: [] Exploring Operation: 66-57=9, Resulting Numbers: [11, 41, 9] Generated Node #2: [11, 41, 9] from Operation: 66-57=9 Current State: 61:[11, 41, 9], Operations: ['66-57=9'] Exploring Operation: 11+41=52, Resulting Numbers: [9, 52] Generated Node #3: [9, 52] from Operation: 11+41=52 Current State: 61:[9, 52], Operations: ['66-57=9', '11+41=52'] Exploring Operation: 9+52=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 84, 31, 59, 78 ]
13
[ "84-31=53", "59-53=6", "78/6=13" ]
Current State: 13:[84, 31, 59, 78], Operations: [] Exploring Operation: 84-31=53, Resulting Numbers: [59, 78, 53] Generated Node #2: [59, 78, 53] from Operation: 84-31=53 Current State: 13:[59, 78, 53], Operations: ['84-31=53'] Exploring Operation: 59-53=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 59-53=6 Current State: 13:[78, 6], Operations: ['84-31=53', '59-53=6'] Exploring Operation: 78/6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 2, 39, 78, 58 ]
28
[ "58-2=56", "78/39=2", "56/2=28" ]
Current State: 28:[2, 39, 78, 58], Operations: [] Exploring Operation: 58-2=56, Resulting Numbers: [39, 78, 56] Generated Node #2: [39, 78, 56] from Operation: 58-2=56 Current State: 28:[39, 78, 56], Operations: ['58-2=56'] Exploring Operation: 78/39=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 78/39=2 Current State: 28:[56, 2], Operations: ['58-2=56', '78/39=2'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 65, 6, 4, 52 ]
84
[ "65+6=71", "52/4=13", "71+13=84" ]
Current State: 84:[65, 6, 4, 52], Operations: [] Exploring Operation: 65+6=71, Resulting Numbers: [4, 52, 71] Generated Node #2: [4, 52, 71] from Operation: 65+6=71 Current State: 84:[4, 52, 71], Operations: ['65+6=71'] Exploring Operation: 52/4=13, Resulting Numbers: [71, 13] Generated Node #3: [71, 13] from Operation: 52/4=13 Current State: 84:[71, 13], Operations: ['65+6=71', '52/4=13'] Exploring Operation: 71+13=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 97, 16, 31, 19 ]
31
[ "97-16=81", "31+19=50", "81-50=31" ]
Current State: 31:[97, 16, 31, 19], Operations: [] Exploring Operation: 97-16=81, Resulting Numbers: [31, 19, 81] Generated Node #2: [31, 19, 81] from Operation: 97-16=81 Current State: 31:[31, 19, 81], Operations: ['97-16=81'] Exploring Operation: 31+19=50, Resulting Numbers: [81, 50] Generated Node #3: [81, 50] from Operation: 31+19=50 Current State: 31:[81, 50], Operations: ['97-16=81', '31+19=50'] Exploring Operation: 81-50=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 17, 6, 96, 69 ]
36
[ "69-17=52", "96/6=16", "52-16=36" ]
Current State: 36:[17, 6, 96, 69], Operations: [] Exploring Operation: 69-17=52, Resulting Numbers: [6, 96, 52] Generated Node #2: [6, 96, 52] from Operation: 69-17=52 Current State: 36:[6, 96, 52], Operations: ['69-17=52'] Exploring Operation: 96/6=16, Resulting Numbers: [52, 16] Generated Node #3: [52, 16] from Operation: 96/6=16 Current State: 36:[52, 16], Operations: ['69-17=52', '96/6=16'] Exploring Operation: 52-16=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 9, 3, 66, 32 ]
30
[ "9/3=3", "32*3=96", "96-66=30" ]
Current State: 30:[9, 3, 66, 32], Operations: [] Exploring Operation: 9/3=3, Resulting Numbers: [66, 32, 3] Generated Node #2: [66, 32, 3] from Operation: 9/3=3 Current State: 30:[66, 32, 3], Operations: ['9/3=3'] Exploring Operation: 32*3=96, Resulting Numbers: [66, 96] Generated Node #3: [66, 96] from Operation: 32*3=96 Current State: 30:[66, 96], Operations: ['9/3=3', '32*3=96'] Exploring Operation: 96-66=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 29, 61, 12, 21 ]
41
[ "61-29=32", "21-12=9", "32+9=41" ]
Current State: 41:[29, 61, 12, 21], Operations: [] Exploring Operation: 61-29=32, Resulting Numbers: [12, 21, 32] Generated Node #2: [12, 21, 32] from Operation: 61-29=32 Current State: 41:[12, 21, 32], Operations: ['61-29=32'] Exploring Operation: 21-12=9, Resulting Numbers: [32, 9] Generated Node #3: [32, 9] from Operation: 21-12=9 Current State: 41:[32, 9], Operations: ['61-29=32', '21-12=9'] Exploring Operation: 32+9=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 9, 16, 98, 7 ]
53
[ "9*16=144", "98-7=91", "144-91=53" ]
Current State: 53:[9, 16, 98, 7], Operations: [] Exploring Operation: 9*16=144, Resulting Numbers: [98, 7, 144] Generated Node #2: [98, 7, 144] from Operation: 9*16=144 Current State: 53:[98, 7, 144], Operations: ['9*16=144'] Exploring Operation: 98-7=91, Resulting Numbers: [144, 91] Generated Node #3: [144, 91] from Operation: 98-7=91 Current State: 53:[144, 91], Operations: ['9*16=144', '98-7=91'] Exploring Operation: 144-91=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 68, 92, 80, 50 ]
25
[ "68+92=160", "80*50=4000", "4000/160=25" ]
Current State: 25:[68, 92, 80, 50], Operations: [] Exploring Operation: 68+92=160, Resulting Numbers: [80, 50, 160] Generated Node #2: [80, 50, 160] from Operation: 68+92=160 Current State: 25:[80, 50, 160], Operations: ['68+92=160'] Exploring Operation: 80*50=4000, Resulting Numbers: [160, 4000] Generated Node #3: [160, 4000] from Operation: 80*50=4000 Current State: 25:[160, 4000], Operations: ['68+92=160', '80*50=4000'] Exploring Operation: 4000/160=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 72, 12, 14, 14 ]
43
[ "72+14=86", "14-12=2", "86/2=43" ]
Current State: 43:[72, 12, 14, 14], Operations: [] Exploring Operation: 72+14=86, Resulting Numbers: [12, 86] Generated Node #2: [12, 86] from Operation: 72+14=86 Current State: 43:[12, 86], Operations: ['72+14=86'] Exploring Operation: 14-12=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 14-12=2 Current State: 43:[86, 2], Operations: ['72+14=86', '14-12=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 73, 21, 21, 66 ]
73
[ "21-21=0", "66*0=0", "73+0=73" ]
Current State: 73:[73, 21, 21, 66], Operations: [] Exploring Operation: 21-21=0, Resulting Numbers: [73, 66, 0] Generated Node #2: [73, 66, 0] from Operation: 21-21=0 Current State: 73:[73, 66, 0], Operations: ['21-21=0'] Exploring Operation: 66*0=0, Resulting Numbers: [73, 0] Generated Node #3: [73, 0] from Operation: 66*0=0 Current State: 73:[73, 0], Operations: ['21-21=0', '66*0=0'] Exploring Operation: 73+0=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 41, 88, 46, 42 ]
42
[ "88-41=47", "47-46=1", "42*1=42" ]
Current State: 42:[41, 88, 46, 42], Operations: [] Exploring Operation: 88-41=47, Resulting Numbers: [46, 42, 47] Generated Node #2: [46, 42, 47] from Operation: 88-41=47 Current State: 42:[46, 42, 47], Operations: ['88-41=47'] Exploring Operation: 47-46=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 47-46=1 Current State: 42:[42, 1], Operations: ['88-41=47', '47-46=1'] Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 55, 99, 99, 45 ]
99
[ "99-55=44", "45-44=1", "99*1=99" ]
Current State: 99:[55, 99, 99, 45], Operations: [] Exploring Operation: 99-55=44, Resulting Numbers: [45, 44] Generated Node #2: [45, 44] from Operation: 99-55=44 Current State: 99:[45, 44], Operations: ['99-55=44'] Exploring Operation: 45-44=1, Resulting Numbers: [1] 1,99 equal: Goal Reached Exploring Operation: 99*1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 18, 76, 39, 11 ]
83
[ "18*11=198", "76+39=115", "198-115=83" ]
Current State: 83:[18, 76, 39, 11], Operations: [] Exploring Operation: 18*11=198, Resulting Numbers: [76, 39, 198] Generated Node #2: [76, 39, 198] from Operation: 18*11=198 Current State: 83:[76, 39, 198], Operations: ['18*11=198'] Exploring Operation: 76+39=115, Resulting Numbers: [198, 115] Generated Node #3: [198, 115] from Operation: 76+39=115 Current State: 83:[198, 115], Operations: ['18*11=198', '76+39=115'] Exploring Operation: 198-115=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 61, 67, 12, 2 ]
31
[ "61-12=49", "2*49=98", "98-67=31" ]
Current State: 31:[61, 67, 12, 2], Operations: [] Exploring Operation: 61-12=49, Resulting Numbers: [67, 2, 49] Generated Node #2: [67, 2, 49] from Operation: 61-12=49 Current State: 31:[67, 2, 49], Operations: ['61-12=49'] Exploring Operation: 2*49=98, Resulting Numbers: [67, 98] Generated Node #3: [67, 98] from Operation: 2*49=98 Current State: 31:[67, 98], Operations: ['61-12=49', '2*49=98'] Exploring Operation: 98-67=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 60, 96, 10, 80 ]
94
[ "80-60=20", "20/10=2", "96-2=94" ]
Current State: 94:[60, 96, 10, 80], Operations: [] Exploring Operation: 80-60=20, Resulting Numbers: [96, 10, 20] Generated Node #2: [96, 10, 20] from Operation: 80-60=20 Current State: 94:[96, 10, 20], Operations: ['80-60=20'] Exploring Operation: 20/10=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 20/10=2 Current State: 94:[96, 2], Operations: ['80-60=20', '20/10=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 75, 54, 8, 8 ]
22
[ "75-54=21", "8/8=1", "21+1=22" ]
Current State: 22:[75, 54, 8, 8], Operations: [] Exploring Operation: 75-54=21, Resulting Numbers: [8, 8, 21] Generated Node #2: [8, 8, 21] from Operation: 75-54=21 Current State: 22:[8, 8, 21], Operations: ['75-54=21'] Exploring Operation: 8/8=1, Resulting Numbers: [21, 1] Generated Node #3: [21, 1] from Operation: 8/8=1 Current State: 22:[21, 1], Operations: ['75-54=21', '8/8=1'] Exploring Operation: 21+1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 79, 3, 50, 6 ]
65
[ "79+6=85", "3*50=150", "150-85=65" ]
Current State: 65:[79, 3, 50, 6], Operations: [] Exploring Operation: 79+6=85, Resulting Numbers: [3, 50, 85] Generated Node #2: [3, 50, 85] from Operation: 79+6=85 Current State: 65:[3, 50, 85], Operations: ['79+6=85'] Exploring Operation: 3*50=150, Resulting Numbers: [85, 150] Generated Node #3: [85, 150] from Operation: 3*50=150 Current State: 65:[85, 150], Operations: ['79+6=85', '3*50=150'] Exploring Operation: 150-85=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4