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
[ 75, 70, 38, 3 ]
61
[ "75+70=145", "38+145=183", "183/3=61" ]
Current State: 61:[75, 70, 38, 3], Operations: [] Exploring Operation: 75+70=145, Resulting Numbers: [38, 3, 145] Generated Node #2: [38, 3, 145] from Operation: 75+70=145 Current State: 61:[38, 3, 145], Operations: ['75+70=145'] Exploring Operation: 38+145=183, Resulting Numbers: [3, 183] Generated Node #3: [3, 183] from Operation: 38+145=183 Current State: 61:[3, 183], Operations: ['75+70=145', '38+145=183'] Exploring Operation: 183/3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 34, 23, 4, 17 ]
25
[ "34/17=2", "23+4=27", "27-2=25" ]
Current State: 25:[34, 23, 4, 17], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [23, 4, 2] Generated Node #2: [23, 4, 2] from Operation: 34/17=2 Current State: 25:[23, 4, 2], Operations: ['34/17=2'] Exploring Operation: 23+4=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 23+4=27 Current State: 25:[2, 27], Operations: ['34/17=2', '23+4=27'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 11, 22, 7, 63 ]
68
[ "22/11=2", "7+63=70", "70-2=68" ]
Current State: 68:[11, 22, 7, 63], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [7, 63, 2] Generated Node #2: [7, 63, 2] from Operation: 22/11=2 Current State: 68:[7, 63, 2], Operations: ['22/11=2'] Exploring Operation: 7+63=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 7+63=70 Current State: 68:[2, 70], Operations: ['22/11=2', '7+63=70'] Exploring Operation: 70-2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 88, 47, 8, 17 ]
16
[ "88-47=41", "8+17=25", "41-25=16" ]
Current State: 16:[88, 47, 8, 17], Operations: [] Exploring Operation: 88-47=41, Resulting Numbers: [8, 17, 41] Generated Node #2: [8, 17, 41] from Operation: 88-47=41 Current State: 16:[8, 17, 41], Operations: ['88-47=41'] Exploring Operation: 8+17=25, Resulting Numbers: [41, 25] Generated Node #3: [41, 25] from Operation: 8+17=25 Current State: 16:[41, 25], Operations: ['88-47=41', '8+17=25'] Exploring Operation: 41-25=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 59, 61, 44, 17 ]
58
[ "61-44=17", "17/17=1", "59-1=58" ]
Current State: 58:[59, 61, 44, 17], Operations: [] Exploring Operation: 61-44=17, Resulting Numbers: [59, 17, 17] Generated Node #2: [59, 17, 17] from Operation: 61-44=17 Current State: 58:[59, 17, 17], Operations: ['61-44=17'] Exploring Operation: 17/17=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 17/17=1 Current State: 58:[59, 1], Operations: ['61-44=17', '17/17=1'] Exploring Operation: 59-1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 8, 70, 62, 78 ]
58
[ "78-62=16", "8*16=128", "128-70=58" ]
Current State: 58:[8, 70, 62, 78], Operations: [] Exploring Operation: 78-62=16, Resulting Numbers: [8, 70, 16] Generated Node #2: [8, 70, 16] from Operation: 78-62=16 Current State: 58:[8, 70, 16], Operations: ['78-62=16'] Exploring Operation: 8*16=128, Resulting Numbers: [70, 128] Generated Node #3: [70, 128] from Operation: 8*16=128 Current State: 58:[70, 128], Operations: ['78-62=16', '8*16=128'] Exploring Operation: 128-70=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 46, 78, 72, 60 ]
84
[ "60-46=14", "78-72=6", "14*6=84" ]
Current State: 84:[46, 78, 72, 60], Operations: [] Exploring Operation: 60-46=14, Resulting Numbers: [78, 72, 14] Generated Node #2: [78, 72, 14] from Operation: 60-46=14 Current State: 84:[78, 72, 14], Operations: ['60-46=14'] Exploring Operation: 78-72=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 78-72=6 Current State: 84:[14, 6], Operations: ['60-46=14', '78-72=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 28, 32, 16, 33 ]
44
[ "28+16=44", "33-32=1", "44*1=44" ]
Current State: 44:[28, 32, 16, 33], Operations: [] Exploring Operation: 28+16=44, Resulting Numbers: [32, 33, 44] Generated Node #2: [32, 33, 44] from Operation: 28+16=44 Current State: 44:[32, 33, 44], Operations: ['28+16=44'] Exploring Operation: 33-32=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 33-32=1 Current State: 44:[44, 1], Operations: ['28+16=44', '33-32=1'] Exploring Operation: 44*1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 73, 24, 36, 44 ]
78
[ "73+44=117", "24*117=2808", "2808/36=78" ]
Current State: 78:[73, 24, 36, 44], Operations: [] Exploring Operation: 73+44=117, Resulting Numbers: [24, 36, 117] Generated Node #2: [24, 36, 117] from Operation: 73+44=117 Current State: 78:[24, 36, 117], Operations: ['73+44=117'] Exploring Operation: 24*117=2808, Resulting Numbers: [36, 2808] Generated Node #3: [36, 2808] from Operation: 24*117=2808 Current State: 78:[36, 2808], Operations: ['73+44=117', '24*117=2808'] Exploring Operation: 2808/36=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 25, 21, 14, 32 ]
17
[ "32-25=7", "21/7=3", "14+3=17" ]
Current State: 17:[25, 21, 14, 32], Operations: [] Exploring Operation: 32-25=7, Resulting Numbers: [21, 14, 7] Generated Node #2: [21, 14, 7] from Operation: 32-25=7 Current State: 17:[21, 14, 7], Operations: ['32-25=7'] Exploring Operation: 21/7=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 21/7=3 Current State: 17:[14, 3], Operations: ['32-25=7', '21/7=3'] Exploring Operation: 14+3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 32, 3, 40, 86 ]
66
[ "86-32=54", "3*40=120", "120-54=66" ]
Current State: 66:[32, 3, 40, 86], Operations: [] Exploring Operation: 86-32=54, Resulting Numbers: [3, 40, 54] Generated Node #2: [3, 40, 54] from Operation: 86-32=54 Current State: 66:[3, 40, 54], Operations: ['86-32=54'] Exploring Operation: 3*40=120, Resulting Numbers: [54, 120] Generated Node #3: [54, 120] from Operation: 3*40=120 Current State: 66:[54, 120], Operations: ['86-32=54', '3*40=120'] Exploring Operation: 120-54=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 58, 94, 9, 49 ]
94
[ "58+94=152", "9+49=58", "152-58=94" ]
Current State: 94:[58, 94, 9, 49], Operations: [] Exploring Operation: 58+94=152, Resulting Numbers: [9, 49, 152] Generated Node #2: [9, 49, 152] from Operation: 58+94=152 Current State: 94:[9, 49, 152], Operations: ['58+94=152'] Exploring Operation: 9+49=58, Resulting Numbers: [152, 58] Generated Node #3: [152, 58] from Operation: 9+49=58 Current State: 94:[152, 58], Operations: ['58+94=152', '9+49=58'] Exploring Operation: 152-58=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 54, 74, 36, 88 ]
21
[ "88-74=14", "54*14=756", "756/36=21" ]
Current State: 21:[54, 74, 36, 88], Operations: [] Exploring Operation: 88-74=14, Resulting Numbers: [54, 36, 14] Generated Node #2: [54, 36, 14] from Operation: 88-74=14 Current State: 21:[54, 36, 14], Operations: ['88-74=14'] Exploring Operation: 54*14=756, Resulting Numbers: [36, 756] Generated Node #3: [36, 756] from Operation: 54*14=756 Current State: 21:[36, 756], Operations: ['88-74=14', '54*14=756'] Exploring Operation: 756/36=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 87, 75, 80, 26 ]
42
[ "87-75=12", "80-26=54", "54-12=42" ]
Current State: 42:[87, 75, 80, 26], Operations: [] Exploring Operation: 87-75=12, Resulting Numbers: [80, 26, 12] Generated Node #2: [80, 26, 12] from Operation: 87-75=12 Current State: 42:[80, 26, 12], Operations: ['87-75=12'] Exploring Operation: 80-26=54, Resulting Numbers: [12, 54] Generated Node #3: [12, 54] from Operation: 80-26=54 Current State: 42:[12, 54], Operations: ['87-75=12', '80-26=54'] Exploring Operation: 54-12=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 53, 78, 35, 25 ]
71
[ "53+78=131", "35+25=60", "131-60=71" ]
Current State: 71:[53, 78, 35, 25], Operations: [] Exploring Operation: 53+78=131, Resulting Numbers: [35, 25, 131] Generated Node #2: [35, 25, 131] from Operation: 53+78=131 Current State: 71:[35, 25, 131], Operations: ['53+78=131'] Exploring Operation: 35+25=60, Resulting Numbers: [131, 60] Generated Node #3: [131, 60] from Operation: 35+25=60 Current State: 71:[131, 60], Operations: ['53+78=131', '35+25=60'] Exploring Operation: 131-60=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 93, 27, 88, 54 ]
81
[ "93-88=5", "27*5=135", "135-54=81" ]
Current State: 81:[93, 27, 88, 54], Operations: [] Exploring Operation: 93-88=5, Resulting Numbers: [27, 54, 5] Generated Node #2: [27, 54, 5] from Operation: 93-88=5 Current State: 81:[27, 54, 5], Operations: ['93-88=5'] Exploring Operation: 27*5=135, Resulting Numbers: [54, 135] Generated Node #3: [54, 135] from Operation: 27*5=135 Current State: 81:[54, 135], Operations: ['93-88=5', '27*5=135'] Exploring Operation: 135-54=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 68, 29, 20, 37 ]
22
[ "68-29=39", "37-20=17", "39-17=22" ]
Current State: 22:[68, 29, 20, 37], Operations: [] Exploring Operation: 68-29=39, Resulting Numbers: [20, 37, 39] Generated Node #2: [20, 37, 39] from Operation: 68-29=39 Current State: 22:[20, 37, 39], Operations: ['68-29=39'] Exploring Operation: 37-20=17, Resulting Numbers: [39, 17] Generated Node #3: [39, 17] from Operation: 37-20=17 Current State: 22:[39, 17], Operations: ['68-29=39', '37-20=17'] Exploring Operation: 39-17=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 12, 4, 14, 24 ]
13
[ "12/4=3", "24-14=10", "3+10=13" ]
Current State: 13:[12, 4, 14, 24], Operations: [] Exploring Operation: 12/4=3, Resulting Numbers: [14, 24, 3] Generated Node #2: [14, 24, 3] from Operation: 12/4=3 Current State: 13:[14, 24, 3], Operations: ['12/4=3'] Exploring Operation: 24-14=10, Resulting Numbers: [3, 10] Generated Node #3: [3, 10] from Operation: 24-14=10 Current State: 13:[3, 10], Operations: ['12/4=3', '24-14=10'] Exploring Operation: 3+10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 62, 13, 77, 96 ]
93
[ "62*96=5952", "77-13=64", "5952/64=93" ]
Current State: 93:[62, 13, 77, 96], Operations: [] Exploring Operation: 62*96=5952, Resulting Numbers: [13, 77, 5952] Generated Node #2: [13, 77, 5952] from Operation: 62*96=5952 Current State: 93:[13, 77, 5952], Operations: ['62*96=5952'] Exploring Operation: 77-13=64, Resulting Numbers: [5952, 64] Generated Node #3: [5952, 64] from Operation: 77-13=64 Current State: 93:[5952, 64], Operations: ['62*96=5952', '77-13=64'] Exploring Operation: 5952/64=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 66, 54, 9, 71 ]
99
[ "71-66=5", "9*5=45", "54+45=99" ]
Current State: 99:[66, 54, 9, 71], Operations: [] Exploring Operation: 71-66=5, Resulting Numbers: [54, 9, 5] Generated Node #2: [54, 9, 5] from Operation: 71-66=5 Current State: 99:[54, 9, 5], Operations: ['71-66=5'] Exploring Operation: 9*5=45, Resulting Numbers: [54, 45] Generated Node #3: [54, 45] from Operation: 9*5=45 Current State: 99:[54, 45], Operations: ['71-66=5', '9*5=45'] Exploring Operation: 54+45=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 37, 18, 60, 33 ]
33
[ "37-33=4", "60/4=15", "18+15=33" ]
Current State: 33:[37, 18, 60, 33], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [18, 60, 4] Generated Node #2: [18, 60, 4] from Operation: 37-33=4 Current State: 33:[18, 60, 4], Operations: ['37-33=4'] Exploring Operation: 60/4=15, Resulting Numbers: [18, 15] Generated Node #3: [18, 15] from Operation: 60/4=15 Current State: 33:[18, 15], Operations: ['37-33=4', '60/4=15'] Exploring Operation: 18+15=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 4, 44, 2, 50 ]
34
[ "4+50=54", "44*2=88", "88-54=34" ]
Current State: 34:[4, 44, 2, 50], Operations: [] Exploring Operation: 4+50=54, Resulting Numbers: [44, 2, 54] Generated Node #2: [44, 2, 54] from Operation: 4+50=54 Current State: 34:[44, 2, 54], Operations: ['4+50=54'] Exploring Operation: 44*2=88, Resulting Numbers: [54, 88] Generated Node #3: [54, 88] from Operation: 44*2=88 Current State: 34:[54, 88], Operations: ['4+50=54', '44*2=88'] Exploring Operation: 88-54=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 88, 64, 18, 5 ]
28
[ "88*5=440", "64+440=504", "504/18=28" ]
Current State: 28:[88, 64, 18, 5], Operations: [] Exploring Operation: 88*5=440, Resulting Numbers: [64, 18, 440] Generated Node #2: [64, 18, 440] from Operation: 88*5=440 Current State: 28:[64, 18, 440], Operations: ['88*5=440'] Exploring Operation: 64+440=504, Resulting Numbers: [18, 504] Generated Node #3: [18, 504] from Operation: 64+440=504 Current State: 28:[18, 504], Operations: ['88*5=440', '64+440=504'] Exploring Operation: 504/18=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 62, 18, 36, 38 ]
13
[ "38-36=2", "62/2=31", "31-18=13" ]
Current State: 13:[62, 18, 36, 38], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [62, 18, 2] Generated Node #2: [62, 18, 2] from Operation: 38-36=2 Current State: 13:[62, 18, 2], Operations: ['38-36=2'] Exploring Operation: 62/2=31, Resulting Numbers: [18, 31] Generated Node #3: [18, 31] from Operation: 62/2=31 Current State: 13:[18, 31], Operations: ['38-36=2', '62/2=31'] Exploring Operation: 31-18=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 43, 4, 96, 59 ]
92
[ "59-43=16", "16/4=4", "96-4=92" ]
Current State: 92:[43, 4, 96, 59], Operations: [] Exploring Operation: 59-43=16, Resulting Numbers: [4, 96, 16] Generated Node #2: [4, 96, 16] from Operation: 59-43=16 Current State: 92:[4, 96, 16], Operations: ['59-43=16'] Exploring Operation: 16/4=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 16/4=4 Current State: 92:[96, 4], Operations: ['59-43=16', '16/4=4'] Exploring Operation: 96-4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 12, 8, 47, 2 ]
66
[ "47-8=39", "2*39=78", "78-12=66" ]
Current State: 66:[12, 8, 47, 2], Operations: [] Exploring Operation: 47-8=39, Resulting Numbers: [12, 2, 39] Generated Node #2: [12, 2, 39] from Operation: 47-8=39 Current State: 66:[12, 2, 39], Operations: ['47-8=39'] Exploring Operation: 2*39=78, Resulting Numbers: [12, 78] Generated Node #3: [12, 78] from Operation: 2*39=78 Current State: 66:[12, 78], Operations: ['47-8=39', '2*39=78'] Exploring Operation: 78-12=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 97, 26, 39, 38 ]
90
[ "97+38=135", "26*135=3510", "3510/39=90" ]
Current State: 90:[97, 26, 39, 38], Operations: [] Exploring Operation: 97+38=135, Resulting Numbers: [26, 39, 135] Generated Node #2: [26, 39, 135] from Operation: 97+38=135 Current State: 90:[26, 39, 135], Operations: ['97+38=135'] Exploring Operation: 26*135=3510, Resulting Numbers: [39, 3510] Generated Node #3: [39, 3510] from Operation: 26*135=3510 Current State: 90:[39, 3510], Operations: ['97+38=135', '26*135=3510'] Exploring Operation: 3510/39=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 22, 3, 11, 59 ]
67
[ "22-3=19", "59-11=48", "19+48=67" ]
Current State: 67:[22, 3, 11, 59], Operations: [] Exploring Operation: 22-3=19, Resulting Numbers: [11, 59, 19] Generated Node #2: [11, 59, 19] from Operation: 22-3=19 Current State: 67:[11, 59, 19], Operations: ['22-3=19'] Exploring Operation: 59-11=48, Resulting Numbers: [19, 48] Generated Node #3: [19, 48] from Operation: 59-11=48 Current State: 67:[19, 48], Operations: ['22-3=19', '59-11=48'] Exploring Operation: 19+48=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 66, 66, 99, 44 ]
44
[ "66-66=0", "99*0=0", "44+0=44" ]
Current State: 44:[66, 66, 99, 44], Operations: [] Exploring Operation: 66-66=0, Resulting Numbers: [99, 44, 0] Generated Node #2: [99, 44, 0] from Operation: 66-66=0 Current State: 44:[99, 44, 0], Operations: ['66-66=0'] Exploring Operation: 99*0=0, Resulting Numbers: [44, 0] Generated Node #3: [44, 0] from Operation: 99*0=0 Current State: 44:[44, 0], Operations: ['66-66=0', '99*0=0'] Exploring Operation: 44+0=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 2, 75, 60, 97 ]
67
[ "75-60=15", "2*15=30", "97-30=67" ]
Current State: 67:[2, 75, 60, 97], Operations: [] Exploring Operation: 75-60=15, Resulting Numbers: [2, 97, 15] Generated Node #2: [2, 97, 15] from Operation: 75-60=15 Current State: 67:[2, 97, 15], Operations: ['75-60=15'] Exploring Operation: 2*15=30, Resulting Numbers: [97, 30] Generated Node #3: [97, 30] from Operation: 2*15=30 Current State: 67:[97, 30], Operations: ['75-60=15', '2*15=30'] Exploring Operation: 97-30=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 84, 66, 46, 87 ]
42
[ "87-66=21", "84/21=4", "46-4=42" ]
Current State: 42:[84, 66, 46, 87], Operations: [] Exploring Operation: 87-66=21, Resulting Numbers: [84, 46, 21] Generated Node #2: [84, 46, 21] from Operation: 87-66=21 Current State: 42:[84, 46, 21], Operations: ['87-66=21'] Exploring Operation: 84/21=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 84/21=4 Current State: 42:[46, 4], Operations: ['87-66=21', '84/21=4'] Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 32, 16, 97, 26 ]
23
[ "32+16=48", "97-26=71", "71-48=23" ]
Current State: 23:[32, 16, 97, 26], Operations: [] Exploring Operation: 32+16=48, Resulting Numbers: [97, 26, 48] Generated Node #2: [97, 26, 48] from Operation: 32+16=48 Current State: 23:[97, 26, 48], Operations: ['32+16=48'] Exploring Operation: 97-26=71, Resulting Numbers: [48, 71] Generated Node #3: [48, 71] from Operation: 97-26=71 Current State: 23:[48, 71], Operations: ['32+16=48', '97-26=71'] Exploring Operation: 71-48=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 18, 31, 28, 32 ]
52
[ "31-18=13", "32-28=4", "13*4=52" ]
Current State: 52:[18, 31, 28, 32], Operations: [] Exploring Operation: 31-18=13, Resulting Numbers: [28, 32, 13] Generated Node #2: [28, 32, 13] from Operation: 31-18=13 Current State: 52:[28, 32, 13], Operations: ['31-18=13'] Exploring Operation: 32-28=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 32-28=4 Current State: 52:[13, 4], Operations: ['31-18=13', '32-28=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 24, 40, 32, 92 ]
94
[ "24+40=64", "64/32=2", "92+2=94" ]
Current State: 94:[24, 40, 32, 92], Operations: [] Exploring Operation: 24+40=64, Resulting Numbers: [32, 92, 64] Generated Node #2: [32, 92, 64] from Operation: 24+40=64 Current State: 94:[32, 92, 64], Operations: ['24+40=64'] Exploring Operation: 64/32=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 64/32=2 Current State: 94:[92, 2], Operations: ['24+40=64', '64/32=2'] Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 17, 4, 26, 37 ]
57
[ "17*4=68", "37-26=11", "68-11=57" ]
Current State: 57:[17, 4, 26, 37], Operations: [] Exploring Operation: 17*4=68, Resulting Numbers: [26, 37, 68] Generated Node #2: [26, 37, 68] from Operation: 17*4=68 Current State: 57:[26, 37, 68], Operations: ['17*4=68'] Exploring Operation: 37-26=11, Resulting Numbers: [68, 11] Generated Node #3: [68, 11] from Operation: 37-26=11 Current State: 57:[68, 11], Operations: ['17*4=68', '37-26=11'] Exploring Operation: 68-11=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 23, 6, 87, 58 ]
32
[ "6*87=522", "522/58=9", "23+9=32" ]
Current State: 32:[23, 6, 87, 58], Operations: [] Exploring Operation: 6*87=522, Resulting Numbers: [23, 58, 522] Generated Node #2: [23, 58, 522] from Operation: 6*87=522 Current State: 32:[23, 58, 522], Operations: ['6*87=522'] Exploring Operation: 522/58=9, Resulting Numbers: [23, 9] Generated Node #3: [23, 9] from Operation: 522/58=9 Current State: 32:[23, 9], Operations: ['6*87=522', '522/58=9'] Exploring Operation: 23+9=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 21, 56, 5, 25 ]
12
[ "56-21=35", "25+35=60", "60/5=12" ]
Current State: 12:[21, 56, 5, 25], Operations: [] Exploring Operation: 56-21=35, Resulting Numbers: [5, 25, 35] Generated Node #2: [5, 25, 35] from Operation: 56-21=35 Current State: 12:[5, 25, 35], Operations: ['56-21=35'] Exploring Operation: 25+35=60, Resulting Numbers: [5, 60] Generated Node #3: [5, 60] from Operation: 25+35=60 Current State: 12:[5, 60], Operations: ['56-21=35', '25+35=60'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 37, 84, 60, 36 ]
71
[ "84-37=47", "60-36=24", "47+24=71" ]
Current State: 71:[37, 84, 60, 36], Operations: [] Exploring Operation: 84-37=47, Resulting Numbers: [60, 36, 47] Generated Node #2: [60, 36, 47] from Operation: 84-37=47 Current State: 71:[60, 36, 47], Operations: ['84-37=47'] Exploring Operation: 60-36=24, Resulting Numbers: [47, 24] Generated Node #3: [47, 24] from Operation: 60-36=24 Current State: 71:[47, 24], Operations: ['84-37=47', '60-36=24'] Exploring Operation: 47+24=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 29, 91, 22, 73 ]
86
[ "29-22=7", "91/7=13", "73+13=86" ]
Current State: 86:[29, 91, 22, 73], Operations: [] Exploring Operation: 29-22=7, Resulting Numbers: [91, 73, 7] Generated Node #2: [91, 73, 7] from Operation: 29-22=7 Current State: 86:[91, 73, 7], Operations: ['29-22=7'] Exploring Operation: 91/7=13, Resulting Numbers: [73, 13] Generated Node #3: [73, 13] from Operation: 91/7=13 Current State: 86:[73, 13], Operations: ['29-22=7', '91/7=13'] Exploring Operation: 73+13=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 65, 85, 5, 31 ]
55
[ "85-65=20", "31-20=11", "5*11=55" ]
Current State: 55:[65, 85, 5, 31], Operations: [] Exploring Operation: 85-65=20, Resulting Numbers: [5, 31, 20] Generated Node #2: [5, 31, 20] from Operation: 85-65=20 Current State: 55:[5, 31, 20], Operations: ['85-65=20'] Exploring Operation: 31-20=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 31-20=11 Current State: 55:[5, 11], Operations: ['85-65=20', '31-20=11'] Exploring Operation: 5*11=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 43, 23, 66, 29 ]
29
[ "43+23=66", "66+29=95", "95-66=29" ]
Current State: 29:[43, 23, 66, 29], Operations: [] Exploring Operation: 43+23=66, Resulting Numbers: [66, 29, 66] Generated Node #2: [66, 29, 66] from Operation: 43+23=66 Current State: 29:[66, 29, 66], Operations: ['43+23=66'] Exploring Operation: 66+29=95, Resulting Numbers: [95] 95,29 equal: Goal Reached Exploring Operation: 95-66=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 47, 97, 36, 82 ]
96
[ "97-47=50", "82-36=46", "50+46=96" ]
Current State: 96:[47, 97, 36, 82], Operations: [] Exploring Operation: 97-47=50, Resulting Numbers: [36, 82, 50] Generated Node #2: [36, 82, 50] from Operation: 97-47=50 Current State: 96:[36, 82, 50], Operations: ['97-47=50'] Exploring Operation: 82-36=46, Resulting Numbers: [50, 46] Generated Node #3: [50, 46] from Operation: 82-36=46 Current State: 96:[50, 46], Operations: ['97-47=50', '82-36=46'] Exploring Operation: 50+46=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 26, 13, 91, 22 ]
82
[ "26-13=13", "91-22=69", "13+69=82" ]
Current State: 82:[26, 13, 91, 22], Operations: [] Exploring Operation: 26-13=13, Resulting Numbers: [91, 22, 13] Generated Node #2: [91, 22, 13] from Operation: 26-13=13 Current State: 82:[91, 22, 13], Operations: ['26-13=13'] Exploring Operation: 91-22=69, Resulting Numbers: [13, 69] Generated Node #3: [13, 69] from Operation: 91-22=69 Current State: 82:[13, 69], Operations: ['26-13=13', '91-22=69'] Exploring Operation: 13+69=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 94, 23, 96, 54 ]
79
[ "94-23=71", "96+54=150", "150-71=79" ]
Current State: 79:[94, 23, 96, 54], Operations: [] Exploring Operation: 94-23=71, Resulting Numbers: [96, 54, 71] Generated Node #2: [96, 54, 71] from Operation: 94-23=71 Current State: 79:[96, 54, 71], Operations: ['94-23=71'] Exploring Operation: 96+54=150, Resulting Numbers: [71, 150] Generated Node #3: [71, 150] from Operation: 96+54=150 Current State: 79:[71, 150], Operations: ['94-23=71', '96+54=150'] Exploring Operation: 150-71=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 53, 34, 18, 47 ]
22
[ "53+34=87", "18+47=65", "87-65=22" ]
Current State: 22:[53, 34, 18, 47], Operations: [] Exploring Operation: 53+34=87, Resulting Numbers: [18, 47, 87] Generated Node #2: [18, 47, 87] from Operation: 53+34=87 Current State: 22:[18, 47, 87], Operations: ['53+34=87'] Exploring Operation: 18+47=65, Resulting Numbers: [87, 65] Generated Node #3: [87, 65] from Operation: 18+47=65 Current State: 22:[87, 65], Operations: ['53+34=87', '18+47=65'] Exploring Operation: 87-65=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 62, 64, 97, 60 ]
67
[ "64-62=2", "60/2=30", "97-30=67" ]
Current State: 67:[62, 64, 97, 60], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [97, 60, 2] Generated Node #2: [97, 60, 2] from Operation: 64-62=2 Current State: 67:[97, 60, 2], Operations: ['64-62=2'] Exploring Operation: 60/2=30, Resulting Numbers: [97, 30] Generated Node #3: [97, 30] from Operation: 60/2=30 Current State: 67:[97, 30], Operations: ['64-62=2', '60/2=30'] Exploring Operation: 97-30=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 75, 19, 51, 4 ]
39
[ "75+19=94", "51+4=55", "94-55=39" ]
Current State: 39:[75, 19, 51, 4], Operations: [] Exploring Operation: 75+19=94, Resulting Numbers: [51, 4, 94] Generated Node #2: [51, 4, 94] from Operation: 75+19=94 Current State: 39:[51, 4, 94], Operations: ['75+19=94'] Exploring Operation: 51+4=55, Resulting Numbers: [94, 55] Generated Node #3: [94, 55] from Operation: 51+4=55 Current State: 39:[94, 55], Operations: ['75+19=94', '51+4=55'] Exploring Operation: 94-55=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 48, 28, 96, 74 ]
44
[ "96/48=2", "74-28=46", "46-2=44" ]
Current State: 44:[48, 28, 96, 74], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [28, 74, 2] Generated Node #2: [28, 74, 2] from Operation: 96/48=2 Current State: 44:[28, 74, 2], Operations: ['96/48=2'] Exploring Operation: 74-28=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 74-28=46 Current State: 44:[2, 46], Operations: ['96/48=2', '74-28=46'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 43, 99, 57, 7 ]
78
[ "43+99=142", "57+7=64", "142-64=78" ]
Current State: 78:[43, 99, 57, 7], Operations: [] Exploring Operation: 43+99=142, Resulting Numbers: [57, 7, 142] Generated Node #2: [57, 7, 142] from Operation: 43+99=142 Current State: 78:[57, 7, 142], Operations: ['43+99=142'] Exploring Operation: 57+7=64, Resulting Numbers: [142, 64] Generated Node #3: [142, 64] from Operation: 57+7=64 Current State: 78:[142, 64], Operations: ['43+99=142', '57+7=64'] Exploring Operation: 142-64=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 38, 84, 31, 63 ]
51
[ "38-31=7", "84/7=12", "63-12=51" ]
Current State: 51:[38, 84, 31, 63], Operations: [] Exploring Operation: 38-31=7, Resulting Numbers: [84, 63, 7] Generated Node #2: [84, 63, 7] from Operation: 38-31=7 Current State: 51:[84, 63, 7], Operations: ['38-31=7'] Exploring Operation: 84/7=12, Resulting Numbers: [63, 12] Generated Node #3: [63, 12] from Operation: 84/7=12 Current State: 51:[63, 12], Operations: ['38-31=7', '84/7=12'] Exploring Operation: 63-12=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 21, 72, 32, 53 ]
73
[ "21+32=53", "53/53=1", "72+1=73" ]
Current State: 73:[21, 72, 32, 53], Operations: [] Exploring Operation: 21+32=53, Resulting Numbers: [72, 53, 53] Generated Node #2: [72, 53, 53] from Operation: 21+32=53 Current State: 73:[72, 53, 53], Operations: ['21+32=53'] Exploring Operation: 53/53=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 53/53=1 Current State: 73:[72, 1], Operations: ['21+32=53', '53/53=1'] Exploring Operation: 72+1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 45, 84, 42, 94 ]
51
[ "94-45=49", "84/42=2", "49+2=51" ]
Current State: 51:[45, 84, 42, 94], Operations: [] Exploring Operation: 94-45=49, Resulting Numbers: [84, 42, 49] Generated Node #2: [84, 42, 49] from Operation: 94-45=49 Current State: 51:[84, 42, 49], Operations: ['94-45=49'] Exploring Operation: 84/42=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 84/42=2 Current State: 51:[49, 2], Operations: ['94-45=49', '84/42=2'] Exploring Operation: 49+2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 29, 2, 12, 18 ]
17
[ "29-18=11", "12/2=6", "11+6=17" ]
Current State: 17:[29, 2, 12, 18], Operations: [] Exploring Operation: 29-18=11, Resulting Numbers: [2, 12, 11] Generated Node #2: [2, 12, 11] from Operation: 29-18=11 Current State: 17:[2, 12, 11], Operations: ['29-18=11'] Exploring Operation: 12/2=6, Resulting Numbers: [11, 6] Generated Node #3: [11, 6] from Operation: 12/2=6 Current State: 17:[11, 6], Operations: ['29-18=11', '12/2=6'] Exploring Operation: 11+6=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 84, 95, 4, 83 ]
36
[ "95-83=12", "4*12=48", "84-48=36" ]
Current State: 36:[84, 95, 4, 83], Operations: [] Exploring Operation: 95-83=12, Resulting Numbers: [84, 4, 12] Generated Node #2: [84, 4, 12] from Operation: 95-83=12 Current State: 36:[84, 4, 12], Operations: ['95-83=12'] Exploring Operation: 4*12=48, Resulting Numbers: [84, 48] Generated Node #3: [84, 48] from Operation: 4*12=48 Current State: 36:[84, 48], Operations: ['95-83=12', '4*12=48'] Exploring Operation: 84-48=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 25, 45, 22, 57 ]
26
[ "25-22=3", "57/3=19", "45-19=26" ]
Current State: 26:[25, 45, 22, 57], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [45, 57, 3] Generated Node #2: [45, 57, 3] from Operation: 25-22=3 Current State: 26:[45, 57, 3], Operations: ['25-22=3'] Exploring Operation: 57/3=19, Resulting Numbers: [45, 19] Generated Node #3: [45, 19] from Operation: 57/3=19 Current State: 26:[45, 19], Operations: ['25-22=3', '57/3=19'] Exploring Operation: 45-19=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 99, 59, 83, 8 ]
67
[ "99+59=158", "83+8=91", "158-91=67" ]
Current State: 67:[99, 59, 83, 8], Operations: [] Exploring Operation: 99+59=158, Resulting Numbers: [83, 8, 158] Generated Node #2: [83, 8, 158] from Operation: 99+59=158 Current State: 67:[83, 8, 158], Operations: ['99+59=158'] Exploring Operation: 83+8=91, Resulting Numbers: [158, 91] Generated Node #3: [158, 91] from Operation: 83+8=91 Current State: 67:[158, 91], Operations: ['99+59=158', '83+8=91'] Exploring Operation: 158-91=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 42, 19, 32, 30 ]
25
[ "42-19=23", "32-30=2", "23+2=25" ]
Current State: 25:[42, 19, 32, 30], Operations: [] Exploring Operation: 42-19=23, Resulting Numbers: [32, 30, 23] Generated Node #2: [32, 30, 23] from Operation: 42-19=23 Current State: 25:[32, 30, 23], Operations: ['42-19=23'] Exploring Operation: 32-30=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 32-30=2 Current State: 25:[23, 2], Operations: ['42-19=23', '32-30=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 90, 70, 87, 7 ]
60
[ "90-70=20", "87-7=80", "80-20=60" ]
Current State: 60:[90, 70, 87, 7], Operations: [] Exploring Operation: 90-70=20, Resulting Numbers: [87, 7, 20] Generated Node #2: [87, 7, 20] from Operation: 90-70=20 Current State: 60:[87, 7, 20], Operations: ['90-70=20'] Exploring Operation: 87-7=80, Resulting Numbers: [20, 80] Generated Node #3: [20, 80] from Operation: 87-7=80 Current State: 60:[20, 80], Operations: ['90-70=20', '87-7=80'] Exploring Operation: 80-20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 11, 27, 82, 48 ]
92
[ "11+27=38", "82+48=130", "130-38=92" ]
Current State: 92:[11, 27, 82, 48], Operations: [] Exploring Operation: 11+27=38, Resulting Numbers: [82, 48, 38] Generated Node #2: [82, 48, 38] from Operation: 11+27=38 Current State: 92:[82, 48, 38], Operations: ['11+27=38'] Exploring Operation: 82+48=130, Resulting Numbers: [38, 130] Generated Node #3: [38, 130] from Operation: 82+48=130 Current State: 92:[38, 130], Operations: ['11+27=38', '82+48=130'] Exploring Operation: 130-38=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 58, 52, 7, 54 ]
72
[ "54-52=2", "7*2=14", "58+14=72" ]
Current State: 72:[58, 52, 7, 54], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [58, 7, 2] Generated Node #2: [58, 7, 2] from Operation: 54-52=2 Current State: 72:[58, 7, 2], Operations: ['54-52=2'] Exploring Operation: 7*2=14, Resulting Numbers: [58, 14] Generated Node #3: [58, 14] from Operation: 7*2=14 Current State: 72:[58, 14], Operations: ['54-52=2', '7*2=14'] Exploring Operation: 58+14=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 73, 23, 71, 17 ]
38
[ "73-23=50", "71+17=88", "88-50=38" ]
Current State: 38:[73, 23, 71, 17], Operations: [] Exploring Operation: 73-23=50, Resulting Numbers: [71, 17, 50] Generated Node #2: [71, 17, 50] from Operation: 73-23=50 Current State: 38:[71, 17, 50], Operations: ['73-23=50'] Exploring Operation: 71+17=88, Resulting Numbers: [50, 88] Generated Node #3: [50, 88] from Operation: 71+17=88 Current State: 38:[50, 88], Operations: ['73-23=50', '71+17=88'] Exploring Operation: 88-50=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 84, 74, 36, 47 ]
38
[ "84-47=37", "74/37=2", "36+2=38" ]
Current State: 38:[84, 74, 36, 47], Operations: [] Exploring Operation: 84-47=37, Resulting Numbers: [74, 36, 37] Generated Node #2: [74, 36, 37] from Operation: 84-47=37 Current State: 38:[74, 36, 37], Operations: ['84-47=37'] Exploring Operation: 74/37=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 74/37=2 Current State: 38:[36, 2], Operations: ['84-47=37', '74/37=2'] Exploring Operation: 36+2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 22, 25, 5, 86 ]
24
[ "22*25=550", "550/5=110", "110-86=24" ]
Current State: 24:[22, 25, 5, 86], Operations: [] Exploring Operation: 22*25=550, Resulting Numbers: [5, 86, 550] Generated Node #2: [5, 86, 550] from Operation: 22*25=550 Current State: 24:[5, 86, 550], Operations: ['22*25=550'] Exploring Operation: 550/5=110, Resulting Numbers: [86, 110] Generated Node #3: [86, 110] from Operation: 550/5=110 Current State: 24:[86, 110], Operations: ['22*25=550', '550/5=110'] Exploring Operation: 110-86=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 62, 99, 10, 19 ]
28
[ "99-62=37", "19-10=9", "37-9=28" ]
Current State: 28:[62, 99, 10, 19], Operations: [] Exploring Operation: 99-62=37, Resulting Numbers: [10, 19, 37] Generated Node #2: [10, 19, 37] from Operation: 99-62=37 Current State: 28:[10, 19, 37], Operations: ['99-62=37'] Exploring Operation: 19-10=9, Resulting Numbers: [37, 9] Generated Node #3: [37, 9] from Operation: 19-10=9 Current State: 28:[37, 9], Operations: ['99-62=37', '19-10=9'] Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 50, 7, 85, 8 ]
36
[ "50+7=57", "85+8=93", "93-57=36" ]
Current State: 36:[50, 7, 85, 8], Operations: [] Exploring Operation: 50+7=57, Resulting Numbers: [85, 8, 57] Generated Node #2: [85, 8, 57] from Operation: 50+7=57 Current State: 36:[85, 8, 57], Operations: ['50+7=57'] Exploring Operation: 85+8=93, Resulting Numbers: [57, 93] Generated Node #3: [57, 93] from Operation: 85+8=93 Current State: 36:[57, 93], Operations: ['50+7=57', '85+8=93'] Exploring Operation: 93-57=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 90, 84, 76, 92 ]
83
[ "90*84=7560", "76+7560=7636", "7636/92=83" ]
Current State: 83:[90, 84, 76, 92], Operations: [] Exploring Operation: 90*84=7560, Resulting Numbers: [76, 92, 7560] Generated Node #2: [76, 92, 7560] from Operation: 90*84=7560 Current State: 83:[76, 92, 7560], Operations: ['90*84=7560'] Exploring Operation: 76+7560=7636, Resulting Numbers: [92, 7636] Generated Node #3: [92, 7636] from Operation: 76+7560=7636 Current State: 83:[92, 7636], Operations: ['90*84=7560', '76+7560=7636'] Exploring Operation: 7636/92=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 64, 4, 7, 95 ]
86
[ "64/4=16", "7+95=102", "102-16=86" ]
Current State: 86:[64, 4, 7, 95], Operations: [] Exploring Operation: 64/4=16, Resulting Numbers: [7, 95, 16] Generated Node #2: [7, 95, 16] from Operation: 64/4=16 Current State: 86:[7, 95, 16], Operations: ['64/4=16'] Exploring Operation: 7+95=102, Resulting Numbers: [16, 102] Generated Node #3: [16, 102] from Operation: 7+95=102 Current State: 86:[16, 102], Operations: ['64/4=16', '7+95=102'] Exploring Operation: 102-16=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 69, 43, 14, 36 ]
62
[ "69+43=112", "14+36=50", "112-50=62" ]
Current State: 62:[69, 43, 14, 36], Operations: [] Exploring Operation: 69+43=112, Resulting Numbers: [14, 36, 112] Generated Node #2: [14, 36, 112] from Operation: 69+43=112 Current State: 62:[14, 36, 112], Operations: ['69+43=112'] Exploring Operation: 14+36=50, Resulting Numbers: [112, 50] Generated Node #3: [112, 50] from Operation: 14+36=50 Current State: 62:[112, 50], Operations: ['69+43=112', '14+36=50'] Exploring Operation: 112-50=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 52, 82, 84, 16 ]
98
[ "82-52=30", "84-16=68", "30+68=98" ]
Current State: 98:[52, 82, 84, 16], Operations: [] Exploring Operation: 82-52=30, Resulting Numbers: [84, 16, 30] Generated Node #2: [84, 16, 30] from Operation: 82-52=30 Current State: 98:[84, 16, 30], Operations: ['82-52=30'] Exploring Operation: 84-16=68, Resulting Numbers: [30, 68] Generated Node #3: [30, 68] from Operation: 84-16=68 Current State: 98:[30, 68], Operations: ['82-52=30', '84-16=68'] Exploring Operation: 30+68=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 66, 6, 76, 59 ]
28
[ "66/6=11", "76-59=17", "11+17=28" ]
Current State: 28:[66, 6, 76, 59], Operations: [] Exploring Operation: 66/6=11, Resulting Numbers: [76, 59, 11] Generated Node #2: [76, 59, 11] from Operation: 66/6=11 Current State: 28:[76, 59, 11], Operations: ['66/6=11'] Exploring Operation: 76-59=17, Resulting Numbers: [11, 17] Generated Node #3: [11, 17] from Operation: 76-59=17 Current State: 28:[11, 17], Operations: ['66/6=11', '76-59=17'] Exploring Operation: 11+17=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 39, 79, 29, 10 ]
25
[ "79-39=40", "40/10=4", "29-4=25" ]
Current State: 25:[39, 79, 29, 10], Operations: [] Exploring Operation: 79-39=40, Resulting Numbers: [29, 10, 40] Generated Node #2: [29, 10, 40] from Operation: 79-39=40 Current State: 25:[29, 10, 40], Operations: ['79-39=40'] Exploring Operation: 40/10=4, Resulting Numbers: [29, 4] Generated Node #3: [29, 4] from Operation: 40/10=4 Current State: 25:[29, 4], Operations: ['79-39=40', '40/10=4'] Exploring Operation: 29-4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 32, 32, 9, 16 ]
16
[ "32-32=0", "9*0=0", "16+0=16" ]
Current State: 16:[32, 32, 9, 16], Operations: [] Exploring Operation: 32-32=0, Resulting Numbers: [9, 16, 0] Generated Node #2: [9, 16, 0] from Operation: 32-32=0 Current State: 16:[9, 16, 0], Operations: ['32-32=0'] Exploring Operation: 9*0=0, Resulting Numbers: [16, 0] Generated Node #3: [16, 0] from Operation: 9*0=0 Current State: 16:[16, 0], Operations: ['32-32=0', '9*0=0'] Exploring Operation: 16+0=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 13, 67, 55, 75 ]
34
[ "67-13=54", "75-55=20", "54-20=34" ]
Current State: 34:[13, 67, 55, 75], Operations: [] Exploring Operation: 67-13=54, Resulting Numbers: [55, 75, 54] Generated Node #2: [55, 75, 54] from Operation: 67-13=54 Current State: 34:[55, 75, 54], Operations: ['67-13=54'] Exploring Operation: 75-55=20, Resulting Numbers: [54, 20] Generated Node #3: [54, 20] from Operation: 75-55=20 Current State: 34:[54, 20], Operations: ['67-13=54', '75-55=20'] Exploring Operation: 54-20=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 80, 36, 86, 73 ]
57
[ "80-36=44", "86-73=13", "44+13=57" ]
Current State: 57:[80, 36, 86, 73], Operations: [] Exploring Operation: 80-36=44, Resulting Numbers: [86, 73, 44] Generated Node #2: [86, 73, 44] from Operation: 80-36=44 Current State: 57:[86, 73, 44], Operations: ['80-36=44'] Exploring Operation: 86-73=13, Resulting Numbers: [44, 13] Generated Node #3: [44, 13] from Operation: 86-73=13 Current State: 57:[44, 13], Operations: ['80-36=44', '86-73=13'] Exploring Operation: 44+13=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 6, 56, 23, 7 ]
61
[ "23+7=30", "30/6=5", "56+5=61" ]
Current State: 61:[6, 56, 23, 7], Operations: [] Exploring Operation: 23+7=30, Resulting Numbers: [6, 56, 30] Generated Node #2: [6, 56, 30] from Operation: 23+7=30 Current State: 61:[6, 56, 30], Operations: ['23+7=30'] Exploring Operation: 30/6=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 30/6=5 Current State: 61:[56, 5], Operations: ['23+7=30', '30/6=5'] Exploring Operation: 56+5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 76, 76, 67, 40 ]
27
[ "76-76=0", "67-40=27", "0+27=27" ]
Current State: 27:[76, 76, 67, 40], Operations: [] Exploring Operation: 76-76=0, Resulting Numbers: [67, 40, 0] Generated Node #2: [67, 40, 0] from Operation: 76-76=0 Current State: 27:[67, 40, 0], Operations: ['76-76=0'] Exploring Operation: 67-40=27, Resulting Numbers: [0, 27] Generated Node #3: [0, 27] from Operation: 67-40=27 Current State: 27:[0, 27], Operations: ['76-76=0', '67-40=27'] Exploring Operation: 0+27=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 78, 22, 6, 26 ]
60
[ "78*22=1716", "1716/26=66", "66-6=60" ]
Current State: 60:[78, 22, 6, 26], Operations: [] Exploring Operation: 78*22=1716, Resulting Numbers: [6, 26, 1716] Generated Node #2: [6, 26, 1716] from Operation: 78*22=1716 Current State: 60:[6, 26, 1716], Operations: ['78*22=1716'] Exploring Operation: 1716/26=66, Resulting Numbers: [6, 66] Generated Node #3: [6, 66] from Operation: 1716/26=66 Current State: 60:[6, 66], Operations: ['78*22=1716', '1716/26=66'] Exploring Operation: 66-6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 23, 48, 51, 11 ]
10
[ "51-48=3", "11*3=33", "33-23=10" ]
Current State: 10:[23, 48, 51, 11], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [23, 11, 3] Generated Node #2: [23, 11, 3] from Operation: 51-48=3 Current State: 10:[23, 11, 3], Operations: ['51-48=3'] Exploring Operation: 11*3=33, Resulting Numbers: [23, 33] Generated Node #3: [23, 33] from Operation: 11*3=33 Current State: 10:[23, 33], Operations: ['51-48=3', '11*3=33'] Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 9, 19, 17, 56 ]
94
[ "56-9=47", "19-17=2", "47*2=94" ]
Current State: 94:[9, 19, 17, 56], Operations: [] Exploring Operation: 56-9=47, Resulting Numbers: [19, 17, 47] Generated Node #2: [19, 17, 47] from Operation: 56-9=47 Current State: 94:[19, 17, 47], Operations: ['56-9=47'] Exploring Operation: 19-17=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 19-17=2 Current State: 94:[47, 2], Operations: ['56-9=47', '19-17=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 79, 43, 17, 76 ]
23
[ "79-43=36", "76-17=59", "59-36=23" ]
Current State: 23:[79, 43, 17, 76], Operations: [] Exploring Operation: 79-43=36, Resulting Numbers: [17, 76, 36] Generated Node #2: [17, 76, 36] from Operation: 79-43=36 Current State: 23:[17, 76, 36], Operations: ['79-43=36'] Exploring Operation: 76-17=59, Resulting Numbers: [36, 59] Generated Node #3: [36, 59] from Operation: 76-17=59 Current State: 23:[36, 59], Operations: ['79-43=36', '76-17=59'] Exploring Operation: 59-36=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 83, 79, 33, 65 ]
67
[ "83-79=4", "33*4=132", "132-65=67" ]
Current State: 67:[83, 79, 33, 65], Operations: [] Exploring Operation: 83-79=4, Resulting Numbers: [33, 65, 4] Generated Node #2: [33, 65, 4] from Operation: 83-79=4 Current State: 67:[33, 65, 4], Operations: ['83-79=4'] Exploring Operation: 33*4=132, Resulting Numbers: [65, 132] Generated Node #3: [65, 132] from Operation: 33*4=132 Current State: 67:[65, 132], Operations: ['83-79=4', '33*4=132'] Exploring Operation: 132-65=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 97, 54, 70, 33 ]
66
[ "97-70=27", "54*33=1782", "1782/27=66" ]
Current State: 66:[97, 54, 70, 33], Operations: [] Exploring Operation: 97-70=27, Resulting Numbers: [54, 33, 27] Generated Node #2: [54, 33, 27] from Operation: 97-70=27 Current State: 66:[54, 33, 27], Operations: ['97-70=27'] Exploring Operation: 54*33=1782, Resulting Numbers: [27, 1782] Generated Node #3: [27, 1782] from Operation: 54*33=1782 Current State: 66:[27, 1782], Operations: ['97-70=27', '54*33=1782'] Exploring Operation: 1782/27=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 44, 45, 92, 72 ]
30
[ "92-44=48", "45*48=2160", "2160/72=30" ]
Current State: 30:[44, 45, 92, 72], Operations: [] Exploring Operation: 92-44=48, Resulting Numbers: [45, 72, 48] Generated Node #2: [45, 72, 48] from Operation: 92-44=48 Current State: 30:[45, 72, 48], Operations: ['92-44=48'] Exploring Operation: 45*48=2160, Resulting Numbers: [72, 2160] Generated Node #3: [72, 2160] from Operation: 45*48=2160 Current State: 30:[72, 2160], Operations: ['92-44=48', '45*48=2160'] Exploring Operation: 2160/72=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 39, 93, 84, 5 ]
84
[ "84-39=45", "45/5=9", "93-9=84" ]
Current State: 84:[39, 93, 84, 5], Operations: [] Exploring Operation: 84-39=45, Resulting Numbers: [93, 5, 45] Generated Node #2: [93, 5, 45] from Operation: 84-39=45 Current State: 84:[93, 5, 45], Operations: ['84-39=45'] Exploring Operation: 45/5=9, Resulting Numbers: [93, 9] Generated Node #3: [93, 9] from Operation: 45/5=9 Current State: 84:[93, 9], Operations: ['84-39=45', '45/5=9'] Exploring Operation: 93-9=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 86, 23, 12, 49 ]
72
[ "86+23=109", "49-12=37", "109-37=72" ]
Current State: 72:[86, 23, 12, 49], Operations: [] Exploring Operation: 86+23=109, Resulting Numbers: [12, 49, 109] Generated Node #2: [12, 49, 109] from Operation: 86+23=109 Current State: 72:[12, 49, 109], Operations: ['86+23=109'] Exploring Operation: 49-12=37, Resulting Numbers: [109, 37] Generated Node #3: [109, 37] from Operation: 49-12=37 Current State: 72:[109, 37], Operations: ['86+23=109', '49-12=37'] Exploring Operation: 109-37=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 8, 77, 79, 42 ]
25
[ "8+42=50", "79-77=2", "50/2=25" ]
Current State: 25:[8, 77, 79, 42], Operations: [] Exploring Operation: 8+42=50, Resulting Numbers: [77, 79, 50] Generated Node #2: [77, 79, 50] from Operation: 8+42=50 Current State: 25:[77, 79, 50], Operations: ['8+42=50'] Exploring Operation: 79-77=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 79-77=2 Current State: 25:[50, 2], Operations: ['8+42=50', '79-77=2'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 21, 27, 60, 90 ]
24
[ "27-21=6", "90-60=30", "30-6=24" ]
Current State: 24:[21, 27, 60, 90], Operations: [] Exploring Operation: 27-21=6, Resulting Numbers: [60, 90, 6] Generated Node #2: [60, 90, 6] from Operation: 27-21=6 Current State: 24:[60, 90, 6], Operations: ['27-21=6'] Exploring Operation: 90-60=30, Resulting Numbers: [6, 30] Generated Node #3: [6, 30] from Operation: 90-60=30 Current State: 24:[6, 30], Operations: ['27-21=6', '90-60=30'] Exploring Operation: 30-6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 41, 70, 2, 7 ]
87
[ "41-7=34", "34/2=17", "70+17=87" ]
Current State: 87:[41, 70, 2, 7], Operations: [] Exploring Operation: 41-7=34, Resulting Numbers: [70, 2, 34] Generated Node #2: [70, 2, 34] from Operation: 41-7=34 Current State: 87:[70, 2, 34], Operations: ['41-7=34'] Exploring Operation: 34/2=17, Resulting Numbers: [70, 17] Generated Node #3: [70, 17] from Operation: 34/2=17 Current State: 87:[70, 17], Operations: ['41-7=34', '34/2=17'] Exploring Operation: 70+17=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 60, 65, 79, 32 ]
14
[ "60+65=125", "79+32=111", "125-111=14" ]
Current State: 14:[60, 65, 79, 32], Operations: [] Exploring Operation: 60+65=125, Resulting Numbers: [79, 32, 125] Generated Node #2: [79, 32, 125] from Operation: 60+65=125 Current State: 14:[79, 32, 125], Operations: ['60+65=125'] Exploring Operation: 79+32=111, Resulting Numbers: [125, 111] Generated Node #3: [125, 111] from Operation: 79+32=111 Current State: 14:[125, 111], Operations: ['60+65=125', '79+32=111'] Exploring Operation: 125-111=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 90, 16, 52, 52 ]
79
[ "52*52=2704", "2704/16=169", "169-90=79" ]
Current State: 79:[90, 16, 52, 52], Operations: [] Exploring Operation: 52*52=2704, Resulting Numbers: [90, 16, 2704] Generated Node #2: [90, 16, 2704] from Operation: 52*52=2704 Current State: 79:[90, 16, 2704], Operations: ['52*52=2704'] Exploring Operation: 2704/16=169, Resulting Numbers: [90, 169] Generated Node #3: [90, 169] from Operation: 2704/16=169 Current State: 79:[90, 169], Operations: ['52*52=2704', '2704/16=169'] Exploring Operation: 169-90=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 9, 1, 63, 25 ]
96
[ "9-1=8", "63+25=88", "8+88=96" ]
Current State: 96:[9, 1, 63, 25], Operations: [] Exploring Operation: 9-1=8, Resulting Numbers: [63, 25, 8] Generated Node #2: [63, 25, 8] from Operation: 9-1=8 Current State: 96:[63, 25, 8], Operations: ['9-1=8'] Exploring Operation: 63+25=88, Resulting Numbers: [8, 88] Generated Node #3: [8, 88] from Operation: 63+25=88 Current State: 96:[8, 88], Operations: ['9-1=8', '63+25=88'] Exploring Operation: 8+88=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 69, 5, 72, 9 ]
18
[ "69+5=74", "74-72=2", "9*2=18" ]
Current State: 18:[69, 5, 72, 9], Operations: [] Exploring Operation: 69+5=74, Resulting Numbers: [72, 9, 74] Generated Node #2: [72, 9, 74] from Operation: 69+5=74 Current State: 18:[72, 9, 74], Operations: ['69+5=74'] Exploring Operation: 74-72=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 74-72=2 Current State: 18:[9, 2], Operations: ['69+5=74', '74-72=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 84, 76, 16, 78 ]
88
[ "84+76=160", "160/16=10", "78+10=88" ]
Current State: 88:[84, 76, 16, 78], Operations: [] Exploring Operation: 84+76=160, Resulting Numbers: [16, 78, 160] Generated Node #2: [16, 78, 160] from Operation: 84+76=160 Current State: 88:[16, 78, 160], Operations: ['84+76=160'] Exploring Operation: 160/16=10, Resulting Numbers: [78, 10] Generated Node #3: [78, 10] from Operation: 160/16=10 Current State: 88:[78, 10], Operations: ['84+76=160', '160/16=10'] Exploring Operation: 78+10=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 64, 20, 11, 68 ]
13
[ "64-20=44", "68-11=57", "57-44=13" ]
Current State: 13:[64, 20, 11, 68], Operations: [] Exploring Operation: 64-20=44, Resulting Numbers: [11, 68, 44] Generated Node #2: [11, 68, 44] from Operation: 64-20=44 Current State: 13:[11, 68, 44], Operations: ['64-20=44'] Exploring Operation: 68-11=57, Resulting Numbers: [44, 57] Generated Node #3: [44, 57] from Operation: 68-11=57 Current State: 13:[44, 57], Operations: ['64-20=44', '68-11=57'] Exploring Operation: 57-44=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 72, 6, 8, 48 ]
96
[ "72-8=64", "64-48=16", "6*16=96" ]
Current State: 96:[72, 6, 8, 48], Operations: [] Exploring Operation: 72-8=64, Resulting Numbers: [6, 48, 64] Generated Node #2: [6, 48, 64] from Operation: 72-8=64 Current State: 96:[6, 48, 64], Operations: ['72-8=64'] Exploring Operation: 64-48=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 64-48=16 Current State: 96:[6, 16], Operations: ['72-8=64', '64-48=16'] Exploring Operation: 6*16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 14, 48, 8, 25 ]
39
[ "14*8=112", "48+25=73", "112-73=39" ]
Current State: 39:[14, 48, 8, 25], Operations: [] Exploring Operation: 14*8=112, Resulting Numbers: [48, 25, 112] Generated Node #2: [48, 25, 112] from Operation: 14*8=112 Current State: 39:[48, 25, 112], Operations: ['14*8=112'] Exploring Operation: 48+25=73, Resulting Numbers: [112, 73] Generated Node #3: [112, 73] from Operation: 48+25=73 Current State: 39:[112, 73], Operations: ['14*8=112', '48+25=73'] Exploring Operation: 112-73=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 8, 91, 27, 88 ]
73
[ "91-88=3", "27*3=81", "81-8=73" ]
Current State: 73:[8, 91, 27, 88], Operations: [] Exploring Operation: 91-88=3, Resulting Numbers: [8, 27, 3] Generated Node #2: [8, 27, 3] from Operation: 91-88=3 Current State: 73:[8, 27, 3], Operations: ['91-88=3'] Exploring Operation: 27*3=81, Resulting Numbers: [8, 81] Generated Node #3: [8, 81] from Operation: 27*3=81 Current State: 73:[8, 81], Operations: ['91-88=3', '27*3=81'] Exploring Operation: 81-8=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 43, 95, 3, 12 ]
46
[ "43*3=129", "95-12=83", "129-83=46" ]
Current State: 46:[43, 95, 3, 12], Operations: [] Exploring Operation: 43*3=129, Resulting Numbers: [95, 12, 129] Generated Node #2: [95, 12, 129] from Operation: 43*3=129 Current State: 46:[95, 12, 129], Operations: ['43*3=129'] Exploring Operation: 95-12=83, Resulting Numbers: [129, 83] Generated Node #3: [129, 83] from Operation: 95-12=83 Current State: 46:[129, 83], Operations: ['43*3=129', '95-12=83'] Exploring Operation: 129-83=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 35, 34, 81, 15 ]
65
[ "35-34=1", "81-15=66", "66-1=65" ]
Current State: 65:[35, 34, 81, 15], Operations: [] Exploring Operation: 35-34=1, Resulting Numbers: [81, 15, 1] Generated Node #2: [81, 15, 1] from Operation: 35-34=1 Current State: 65:[81, 15, 1], Operations: ['35-34=1'] Exploring Operation: 81-15=66, Resulting Numbers: [1, 66] Generated Node #3: [1, 66] from Operation: 81-15=66 Current State: 65:[1, 66], Operations: ['35-34=1', '81-15=66'] Exploring Operation: 66-1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 95, 87, 46, 91 ]
23
[ "95+87=182", "46*91=4186", "4186/182=23" ]
Current State: 23:[95, 87, 46, 91], Operations: [] Exploring Operation: 95+87=182, Resulting Numbers: [46, 91, 182] Generated Node #2: [46, 91, 182] from Operation: 95+87=182 Current State: 23:[46, 91, 182], Operations: ['95+87=182'] Exploring Operation: 46*91=4186, Resulting Numbers: [182, 4186] Generated Node #3: [182, 4186] from Operation: 46*91=4186 Current State: 23:[182, 4186], Operations: ['95+87=182', '46*91=4186'] Exploring Operation: 4186/182=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4