Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 34, 49, 65, 33 ]
47
[ "49-34=15", "65-33=32", "15+32=47" ]
Current State: 47:[34, 49, 65, 33], Operations: [] Exploring Operation: 49-34=15, Resulting Numbers: [65, 33, 15] Generated Node #2: [65, 33, 15] from Operation: 49-34=15 Current State: 47:[65, 33, 15], Operations: ['49-34=15'] Exploring Operation: 65-33=32, Resulting Numbers: [15, 32] Generated Node #3: [15, 32] from Operation: 65-33=32 Current State: 47:[15, 32], Operations: ['49-34=15', '65-33=32'] Exploring Operation: 15+32=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 54, 21, 65, 23 ]
52
[ "65-23=42", "42/21=2", "54-2=52" ]
Current State: 52:[54, 21, 65, 23], Operations: [] Exploring Operation: 65-23=42, Resulting Numbers: [54, 21, 42] Generated Node #2: [54, 21, 42] from Operation: 65-23=42 Current State: 52:[54, 21, 42], Operations: ['65-23=42'] Exploring Operation: 42/21=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 42/21=2 Current State: 52:[54, 2], Operations: ['65-23=42', '42/21=2'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 86, 13, 97, 39 ]
78
[ "86+13=99", "99-97=2", "39*2=78" ]
Current State: 78:[86, 13, 97, 39], Operations: [] Exploring Operation: 86+13=99, Resulting Numbers: [97, 39, 99] Generated Node #2: [97, 39, 99] from Operation: 86+13=99 Current State: 78:[97, 39, 99], Operations: ['86+13=99'] Exploring Operation: 99-97=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 99-97=2 Current State: 78:[39, 2], Operations: ['86+13=99', '99-97=2'] Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 19, 60, 33, 41 ]
49
[ "60-19=41", "41-33=8", "41+8=49" ]
Current State: 49:[19, 60, 33, 41], Operations: [] Exploring Operation: 60-19=41, Resulting Numbers: [33, 41, 41] Generated Node #2: [33, 41, 41] from Operation: 60-19=41 Current State: 49:[33, 41, 41], Operations: ['60-19=41'] Exploring Operation: 41-33=8, Resulting Numbers: [8] 8,49 equal: Goal Reached Exploring Operation: 41+8=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 13, 98, 61, 79 ]
29
[ "13+98=111", "61+79=140", "140-111=29" ]
Current State: 29:[13, 98, 61, 79], Operations: [] Exploring Operation: 13+98=111, Resulting Numbers: [61, 79, 111] Generated Node #2: [61, 79, 111] from Operation: 13+98=111 Current State: 29:[61, 79, 111], Operations: ['13+98=111'] Exploring Operation: 61+79=140, Resulting Numbers: [111, 140] Generated Node #3: [111, 140] from Operation: 61+79=140 Current State: 29:[111, 140], Operations: ['13+98=111', '61+79=140'] Exploring Operation: 140-111=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 41, 89, 9, 31 ]
97
[ "41+31=72", "72/9=8", "89+8=97" ]
Current State: 97:[41, 89, 9, 31], Operations: [] Exploring Operation: 41+31=72, Resulting Numbers: [89, 9, 72] Generated Node #2: [89, 9, 72] from Operation: 41+31=72 Current State: 97:[89, 9, 72], Operations: ['41+31=72'] Exploring Operation: 72/9=8, Resulting Numbers: [89, 8] Generated Node #3: [89, 8] from Operation: 72/9=8 Current State: 97:[89, 8], Operations: ['41+31=72', '72/9=8'] Exploring Operation: 89+8=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 93, 2, 64, 11 ]
46
[ "93-11=82", "2*64=128", "128-82=46" ]
Current State: 46:[93, 2, 64, 11], Operations: [] Exploring Operation: 93-11=82, Resulting Numbers: [2, 64, 82] Generated Node #2: [2, 64, 82] from Operation: 93-11=82 Current State: 46:[2, 64, 82], Operations: ['93-11=82'] Exploring Operation: 2*64=128, Resulting Numbers: [82, 128] Generated Node #3: [82, 128] from Operation: 2*64=128 Current State: 46:[82, 128], Operations: ['93-11=82', '2*64=128'] Exploring Operation: 128-82=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 2, 84, 6, 91 ]
55
[ "84/2=42", "6+91=97", "97-42=55" ]
Current State: 55:[2, 84, 6, 91], Operations: [] Exploring Operation: 84/2=42, Resulting Numbers: [6, 91, 42] Generated Node #2: [6, 91, 42] from Operation: 84/2=42 Current State: 55:[6, 91, 42], Operations: ['84/2=42'] Exploring Operation: 6+91=97, Resulting Numbers: [42, 97] Generated Node #3: [42, 97] from Operation: 6+91=97 Current State: 55:[42, 97], Operations: ['84/2=42', '6+91=97'] Exploring Operation: 97-42=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 65, 40, 6, 68 ]
38
[ "68-65=3", "6/3=2", "40-2=38" ]
Current State: 38:[65, 40, 6, 68], Operations: [] Exploring Operation: 68-65=3, Resulting Numbers: [40, 6, 3] Generated Node #2: [40, 6, 3] from Operation: 68-65=3 Current State: 38:[40, 6, 3], Operations: ['68-65=3'] Exploring Operation: 6/3=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 6/3=2 Current State: 38:[40, 2], Operations: ['68-65=3', '6/3=2'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 75, 2, 47, 56 ]
57
[ "56-47=9", "2*9=18", "75-18=57" ]
Current State: 57:[75, 2, 47, 56], Operations: [] Exploring Operation: 56-47=9, Resulting Numbers: [75, 2, 9] Generated Node #2: [75, 2, 9] from Operation: 56-47=9 Current State: 57:[75, 2, 9], Operations: ['56-47=9'] Exploring Operation: 2*9=18, Resulting Numbers: [75, 18] Generated Node #3: [75, 18] from Operation: 2*9=18 Current State: 57:[75, 18], Operations: ['56-47=9', '2*9=18'] Exploring Operation: 75-18=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 7, 54, 51, 84 ]
28
[ "7+54=61", "84-51=33", "61-33=28" ]
Current State: 28:[7, 54, 51, 84], Operations: [] Exploring Operation: 7+54=61, Resulting Numbers: [51, 84, 61] Generated Node #2: [51, 84, 61] from Operation: 7+54=61 Current State: 28:[51, 84, 61], Operations: ['7+54=61'] Exploring Operation: 84-51=33, Resulting Numbers: [61, 33] Generated Node #3: [61, 33] from Operation: 84-51=33 Current State: 28:[61, 33], Operations: ['7+54=61', '84-51=33'] Exploring Operation: 61-33=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 28, 47, 25, 40 ]
37
[ "28+47=75", "75/25=3", "40-3=37" ]
Current State: 37:[28, 47, 25, 40], Operations: [] Exploring Operation: 28+47=75, Resulting Numbers: [25, 40, 75] Generated Node #2: [25, 40, 75] from Operation: 28+47=75 Current State: 37:[25, 40, 75], Operations: ['28+47=75'] Exploring Operation: 75/25=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 75/25=3 Current State: 37:[40, 3], Operations: ['28+47=75', '75/25=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 8, 5, 11, 43 ]
67
[ "8+5=13", "11+43=54", "13+54=67" ]
Current State: 67:[8, 5, 11, 43], Operations: [] Exploring Operation: 8+5=13, Resulting Numbers: [11, 43, 13] Generated Node #2: [11, 43, 13] from Operation: 8+5=13 Current State: 67:[11, 43, 13], Operations: ['8+5=13'] Exploring Operation: 11+43=54, Resulting Numbers: [13, 54] Generated Node #3: [13, 54] from Operation: 11+43=54 Current State: 67:[13, 54], Operations: ['8+5=13', '11+43=54'] Exploring Operation: 13+54=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 51, 89, 14, 5 ]
93
[ "51+5=56", "56/14=4", "89+4=93" ]
Current State: 93:[51, 89, 14, 5], Operations: [] Exploring Operation: 51+5=56, Resulting Numbers: [89, 14, 56] Generated Node #2: [89, 14, 56] from Operation: 51+5=56 Current State: 93:[89, 14, 56], Operations: ['51+5=56'] Exploring Operation: 56/14=4, Resulting Numbers: [89, 4] Generated Node #3: [89, 4] from Operation: 56/14=4 Current State: 93:[89, 4], Operations: ['51+5=56', '56/14=4'] Exploring Operation: 89+4=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 7, 85, 19, 83 ]
14
[ "85-7=78", "83-19=64", "78-64=14" ]
Current State: 14:[7, 85, 19, 83], Operations: [] Exploring Operation: 85-7=78, Resulting Numbers: [19, 83, 78] Generated Node #2: [19, 83, 78] from Operation: 85-7=78 Current State: 14:[19, 83, 78], Operations: ['85-7=78'] Exploring Operation: 83-19=64, Resulting Numbers: [78, 64] Generated Node #3: [78, 64] from Operation: 83-19=64 Current State: 14:[78, 64], Operations: ['85-7=78', '83-19=64'] Exploring Operation: 78-64=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 14, 44, 79, 55 ]
82
[ "14+44=58", "79-55=24", "58+24=82" ]
Current State: 82:[14, 44, 79, 55], Operations: [] Exploring Operation: 14+44=58, Resulting Numbers: [79, 55, 58] Generated Node #2: [79, 55, 58] from Operation: 14+44=58 Current State: 82:[79, 55, 58], Operations: ['14+44=58'] Exploring Operation: 79-55=24, Resulting Numbers: [58, 24] Generated Node #3: [58, 24] from Operation: 79-55=24 Current State: 82:[58, 24], Operations: ['14+44=58', '79-55=24'] Exploring Operation: 58+24=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 28, 61, 52, 38 ]
63
[ "52-38=14", "28/14=2", "61+2=63" ]
Current State: 63:[28, 61, 52, 38], Operations: [] Exploring Operation: 52-38=14, Resulting Numbers: [28, 61, 14] Generated Node #2: [28, 61, 14] from Operation: 52-38=14 Current State: 63:[28, 61, 14], Operations: ['52-38=14'] Exploring Operation: 28/14=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 28/14=2 Current State: 63:[61, 2], Operations: ['52-38=14', '28/14=2'] Exploring Operation: 61+2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 9, 28, 10, 57 ]
31
[ "9+10=19", "57/19=3", "28+3=31" ]
Current State: 31:[9, 28, 10, 57], Operations: [] Exploring Operation: 9+10=19, Resulting Numbers: [28, 57, 19] Generated Node #2: [28, 57, 19] from Operation: 9+10=19 Current State: 31:[28, 57, 19], Operations: ['9+10=19'] Exploring Operation: 57/19=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 57/19=3 Current State: 31:[28, 3], Operations: ['9+10=19', '57/19=3'] Exploring Operation: 28+3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 52, 32, 83, 24 ]
87
[ "52-32=20", "83+24=107", "107-20=87" ]
Current State: 87:[52, 32, 83, 24], Operations: [] Exploring Operation: 52-32=20, Resulting Numbers: [83, 24, 20] Generated Node #2: [83, 24, 20] from Operation: 52-32=20 Current State: 87:[83, 24, 20], Operations: ['52-32=20'] Exploring Operation: 83+24=107, Resulting Numbers: [20, 107] Generated Node #3: [20, 107] from Operation: 83+24=107 Current State: 87:[20, 107], Operations: ['52-32=20', '83+24=107'] Exploring Operation: 107-20=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 3, 4, 76, 8 ]
35
[ "4*76=304", "304/8=38", "38-3=35" ]
Current State: 35:[3, 4, 76, 8], Operations: [] Exploring Operation: 4*76=304, Resulting Numbers: [3, 8, 304] Generated Node #2: [3, 8, 304] from Operation: 4*76=304 Current State: 35:[3, 8, 304], Operations: ['4*76=304'] Exploring Operation: 304/8=38, Resulting Numbers: [3, 38] Generated Node #3: [3, 38] from Operation: 304/8=38 Current State: 35:[3, 38], Operations: ['4*76=304', '304/8=38'] Exploring Operation: 38-3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 74, 4, 55, 10 ]
86
[ "74-55=19", "4*19=76", "10+76=86" ]
Current State: 86:[74, 4, 55, 10], Operations: [] Exploring Operation: 74-55=19, Resulting Numbers: [4, 10, 19] Generated Node #2: [4, 10, 19] from Operation: 74-55=19 Current State: 86:[4, 10, 19], Operations: ['74-55=19'] Exploring Operation: 4*19=76, Resulting Numbers: [10, 76] Generated Node #3: [10, 76] from Operation: 4*19=76 Current State: 86:[10, 76], Operations: ['74-55=19', '4*19=76'] Exploring Operation: 10+76=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 11, 42, 48, 76 ]
81
[ "11+42=53", "76-48=28", "53+28=81" ]
Current State: 81:[11, 42, 48, 76], Operations: [] Exploring Operation: 11+42=53, Resulting Numbers: [48, 76, 53] Generated Node #2: [48, 76, 53] from Operation: 11+42=53 Current State: 81:[48, 76, 53], Operations: ['11+42=53'] Exploring Operation: 76-48=28, Resulting Numbers: [53, 28] Generated Node #3: [53, 28] from Operation: 76-48=28 Current State: 81:[53, 28], Operations: ['11+42=53', '76-48=28'] Exploring Operation: 53+28=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 75, 59, 33, 64 ]
62
[ "75-64=11", "33/11=3", "59+3=62" ]
Current State: 62:[75, 59, 33, 64], Operations: [] Exploring Operation: 75-64=11, Resulting Numbers: [59, 33, 11] Generated Node #2: [59, 33, 11] from Operation: 75-64=11 Current State: 62:[59, 33, 11], Operations: ['75-64=11'] Exploring Operation: 33/11=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 33/11=3 Current State: 62:[59, 3], Operations: ['75-64=11', '33/11=3'] Exploring Operation: 59+3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 60, 1, 31, 11 ]
40
[ "60*1=60", "31-11=20", "60-20=40" ]
Current State: 40:[60, 1, 31, 11], Operations: [] Exploring Operation: 60*1=60, Resulting Numbers: [31, 11, 60] Generated Node #2: [31, 11, 60] from Operation: 60*1=60 Current State: 40:[31, 11, 60], Operations: ['60*1=60'] Exploring Operation: 31-11=20, Resulting Numbers: [60, 20] Generated Node #3: [60, 20] from Operation: 31-11=20 Current State: 40:[60, 20], Operations: ['60*1=60', '31-11=20'] Exploring Operation: 60-20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 63, 93, 8, 10 ]
32
[ "93-63=30", "10-8=2", "30+2=32" ]
Current State: 32:[63, 93, 8, 10], Operations: [] Exploring Operation: 93-63=30, Resulting Numbers: [8, 10, 30] Generated Node #2: [8, 10, 30] from Operation: 93-63=30 Current State: 32:[8, 10, 30], Operations: ['93-63=30'] Exploring Operation: 10-8=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 10-8=2 Current State: 32:[30, 2], Operations: ['93-63=30', '10-8=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 69, 86, 9, 56 ]
11
[ "69+86=155", "155-56=99", "99/9=11" ]
Current State: 11:[69, 86, 9, 56], Operations: [] Exploring Operation: 69+86=155, Resulting Numbers: [9, 56, 155] Generated Node #2: [9, 56, 155] from Operation: 69+86=155 Current State: 11:[9, 56, 155], Operations: ['69+86=155'] Exploring Operation: 155-56=99, Resulting Numbers: [9, 99] Generated Node #3: [9, 99] from Operation: 155-56=99 Current State: 11:[9, 99], Operations: ['69+86=155', '155-56=99'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 31, 67, 59, 9 ]
57
[ "31+59=90", "90/9=10", "67-10=57" ]
Current State: 57:[31, 67, 59, 9], Operations: [] Exploring Operation: 31+59=90, Resulting Numbers: [67, 9, 90] Generated Node #2: [67, 9, 90] from Operation: 31+59=90 Current State: 57:[67, 9, 90], Operations: ['31+59=90'] Exploring Operation: 90/9=10, Resulting Numbers: [67, 10] Generated Node #3: [67, 10] from Operation: 90/9=10 Current State: 57:[67, 10], Operations: ['31+59=90', '90/9=10'] Exploring Operation: 67-10=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 84, 42, 46, 97 ]
93
[ "84-42=42", "97-46=51", "42+51=93" ]
Current State: 93:[84, 42, 46, 97], Operations: [] Exploring Operation: 84-42=42, Resulting Numbers: [46, 97, 42] Generated Node #2: [46, 97, 42] from Operation: 84-42=42 Current State: 93:[46, 97, 42], Operations: ['84-42=42'] Exploring Operation: 97-46=51, Resulting Numbers: [42, 51] Generated Node #3: [42, 51] from Operation: 97-46=51 Current State: 93:[42, 51], Operations: ['84-42=42', '97-46=51'] Exploring Operation: 42+51=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 88, 59, 5, 62 ]
38
[ "88-59=29", "5+62=67", "67-29=38" ]
Current State: 38:[88, 59, 5, 62], Operations: [] Exploring Operation: 88-59=29, Resulting Numbers: [5, 62, 29] Generated Node #2: [5, 62, 29] from Operation: 88-59=29 Current State: 38:[5, 62, 29], Operations: ['88-59=29'] Exploring Operation: 5+62=67, Resulting Numbers: [29, 67] Generated Node #3: [29, 67] from Operation: 5+62=67 Current State: 38:[29, 67], Operations: ['88-59=29', '5+62=67'] Exploring Operation: 67-29=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 25, 14, 52, 50 ]
32
[ "52-50=2", "14/2=7", "25+7=32" ]
Current State: 32:[25, 14, 52, 50], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [25, 14, 2] Generated Node #2: [25, 14, 2] from Operation: 52-50=2 Current State: 32:[25, 14, 2], Operations: ['52-50=2'] Exploring Operation: 14/2=7, Resulting Numbers: [25, 7] Generated Node #3: [25, 7] from Operation: 14/2=7 Current State: 32:[25, 7], Operations: ['52-50=2', '14/2=7'] Exploring Operation: 25+7=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 96, 33, 55, 58 ]
16
[ "96+33=129", "55+58=113", "129-113=16" ]
Current State: 16:[96, 33, 55, 58], Operations: [] Exploring Operation: 96+33=129, Resulting Numbers: [55, 58, 129] Generated Node #2: [55, 58, 129] from Operation: 96+33=129 Current State: 16:[55, 58, 129], Operations: ['96+33=129'] Exploring Operation: 55+58=113, Resulting Numbers: [129, 113] Generated Node #3: [129, 113] from Operation: 55+58=113 Current State: 16:[129, 113], Operations: ['96+33=129', '55+58=113'] Exploring Operation: 129-113=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 32, 43, 40, 92 ]
12
[ "43-32=11", "40+92=132", "132/11=12" ]
Current State: 12:[32, 43, 40, 92], Operations: [] Exploring Operation: 43-32=11, Resulting Numbers: [40, 92, 11] Generated Node #2: [40, 92, 11] from Operation: 43-32=11 Current State: 12:[40, 92, 11], Operations: ['43-32=11'] Exploring Operation: 40+92=132, Resulting Numbers: [11, 132] Generated Node #3: [11, 132] from Operation: 40+92=132 Current State: 12:[11, 132], Operations: ['43-32=11', '40+92=132'] Exploring Operation: 132/11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 61, 14, 25, 15 ]
12
[ "61+14=75", "75/25=3", "15-3=12" ]
Current State: 12:[61, 14, 25, 15], Operations: [] Exploring Operation: 61+14=75, Resulting Numbers: [25, 15, 75] Generated Node #2: [25, 15, 75] from Operation: 61+14=75 Current State: 12:[25, 15, 75], Operations: ['61+14=75'] Exploring Operation: 75/25=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 75/25=3 Current State: 12:[15, 3], Operations: ['61+14=75', '75/25=3'] Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 20, 56, 9, 54 ]
10
[ "56-20=36", "54+36=90", "90/9=10" ]
Current State: 10:[20, 56, 9, 54], Operations: [] Exploring Operation: 56-20=36, Resulting Numbers: [9, 54, 36] Generated Node #2: [9, 54, 36] from Operation: 56-20=36 Current State: 10:[9, 54, 36], Operations: ['56-20=36'] Exploring Operation: 54+36=90, Resulting Numbers: [9, 90] Generated Node #3: [9, 90] from Operation: 54+36=90 Current State: 10:[9, 90], Operations: ['56-20=36', '54+36=90'] Exploring Operation: 90/9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 22, 66, 31, 79 ]
71
[ "31+79=110", "110/22=5", "66+5=71" ]
Current State: 71:[22, 66, 31, 79], Operations: [] Exploring Operation: 31+79=110, Resulting Numbers: [22, 66, 110] Generated Node #2: [22, 66, 110] from Operation: 31+79=110 Current State: 71:[22, 66, 110], Operations: ['31+79=110'] Exploring Operation: 110/22=5, Resulting Numbers: [66, 5] Generated Node #3: [66, 5] from Operation: 110/22=5 Current State: 71:[66, 5], Operations: ['31+79=110', '110/22=5'] Exploring Operation: 66+5=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 47, 5, 59, 65 ]
82
[ "47-5=42", "59+65=124", "124-42=82" ]
Current State: 82:[47, 5, 59, 65], Operations: [] Exploring Operation: 47-5=42, Resulting Numbers: [59, 65, 42] Generated Node #2: [59, 65, 42] from Operation: 47-5=42 Current State: 82:[59, 65, 42], Operations: ['47-5=42'] Exploring Operation: 59+65=124, Resulting Numbers: [42, 124] Generated Node #3: [42, 124] from Operation: 59+65=124 Current State: 82:[42, 124], Operations: ['47-5=42', '59+65=124'] Exploring Operation: 124-42=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 52, 49, 7, 97 ]
93
[ "52-49=3", "97-7=90", "3+90=93" ]
Current State: 93:[52, 49, 7, 97], Operations: [] Exploring Operation: 52-49=3, Resulting Numbers: [7, 97, 3] Generated Node #2: [7, 97, 3] from Operation: 52-49=3 Current State: 93:[7, 97, 3], Operations: ['52-49=3'] Exploring Operation: 97-7=90, Resulting Numbers: [3, 90] Generated Node #3: [3, 90] from Operation: 97-7=90 Current State: 93:[3, 90], Operations: ['52-49=3', '97-7=90'] Exploring Operation: 3+90=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 29, 24, 40, 2 ]
46
[ "40-29=11", "2*11=22", "24+22=46" ]
Current State: 46:[29, 24, 40, 2], Operations: [] Exploring Operation: 40-29=11, Resulting Numbers: [24, 2, 11] Generated Node #2: [24, 2, 11] from Operation: 40-29=11 Current State: 46:[24, 2, 11], Operations: ['40-29=11'] Exploring Operation: 2*11=22, Resulting Numbers: [24, 22] Generated Node #3: [24, 22] from Operation: 2*11=22 Current State: 46:[24, 22], Operations: ['40-29=11', '2*11=22'] Exploring Operation: 24+22=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 36, 72, 30, 29 ]
35
[ "72-36=36", "30-29=1", "36-1=35" ]
Current State: 35:[36, 72, 30, 29], Operations: [] Exploring Operation: 72-36=36, Resulting Numbers: [30, 29, 36] Generated Node #2: [30, 29, 36] from Operation: 72-36=36 Current State: 35:[30, 29, 36], Operations: ['72-36=36'] Exploring Operation: 30-29=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 30-29=1 Current State: 35:[36, 1], Operations: ['72-36=36', '30-29=1'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 10, 15, 49, 83 ]
39
[ "15-10=5", "83-49=34", "5+34=39" ]
Current State: 39:[10, 15, 49, 83], Operations: [] Exploring Operation: 15-10=5, Resulting Numbers: [49, 83, 5] Generated Node #2: [49, 83, 5] from Operation: 15-10=5 Current State: 39:[49, 83, 5], Operations: ['15-10=5'] Exploring Operation: 83-49=34, Resulting Numbers: [5, 34] Generated Node #3: [5, 34] from Operation: 83-49=34 Current State: 39:[5, 34], Operations: ['15-10=5', '83-49=34'] Exploring Operation: 5+34=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 57, 21, 42, 3 ]
56
[ "57-3=54", "42/21=2", "54+2=56" ]
Current State: 56:[57, 21, 42, 3], Operations: [] Exploring Operation: 57-3=54, Resulting Numbers: [21, 42, 54] Generated Node #2: [21, 42, 54] from Operation: 57-3=54 Current State: 56:[21, 42, 54], Operations: ['57-3=54'] Exploring Operation: 42/21=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 42/21=2 Current State: 56:[54, 2], Operations: ['57-3=54', '42/21=2'] Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 4, 92, 6, 54 ]
25
[ "4+92=96", "54+96=150", "150/6=25" ]
Current State: 25:[4, 92, 6, 54], Operations: [] Exploring Operation: 4+92=96, Resulting Numbers: [6, 54, 96] Generated Node #2: [6, 54, 96] from Operation: 4+92=96 Current State: 25:[6, 54, 96], Operations: ['4+92=96'] Exploring Operation: 54+96=150, Resulting Numbers: [6, 150] Generated Node #3: [6, 150] from Operation: 54+96=150 Current State: 25:[6, 150], Operations: ['4+92=96', '54+96=150'] Exploring Operation: 150/6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 32, 44, 37, 30 ]
19
[ "44-32=12", "37-30=7", "12+7=19" ]
Current State: 19:[32, 44, 37, 30], Operations: [] Exploring Operation: 44-32=12, Resulting Numbers: [37, 30, 12] Generated Node #2: [37, 30, 12] from Operation: 44-32=12 Current State: 19:[37, 30, 12], Operations: ['44-32=12'] Exploring Operation: 37-30=7, Resulting Numbers: [12, 7] Generated Node #3: [12, 7] from Operation: 37-30=7 Current State: 19:[12, 7], Operations: ['44-32=12', '37-30=7'] Exploring Operation: 12+7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 79, 6, 10, 74 ]
80
[ "79-74=5", "6+10=16", "5*16=80" ]
Current State: 80:[79, 6, 10, 74], Operations: [] Exploring Operation: 79-74=5, Resulting Numbers: [6, 10, 5] Generated Node #2: [6, 10, 5] from Operation: 79-74=5 Current State: 80:[6, 10, 5], Operations: ['79-74=5'] Exploring Operation: 6+10=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 6+10=16 Current State: 80:[5, 16], Operations: ['79-74=5', '6+10=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 86, 37, 41, 10 ]
80
[ "86-37=49", "41-10=31", "49+31=80" ]
Current State: 80:[86, 37, 41, 10], Operations: [] Exploring Operation: 86-37=49, Resulting Numbers: [41, 10, 49] Generated Node #2: [41, 10, 49] from Operation: 86-37=49 Current State: 80:[41, 10, 49], Operations: ['86-37=49'] Exploring Operation: 41-10=31, Resulting Numbers: [49, 31] Generated Node #3: [49, 31] from Operation: 41-10=31 Current State: 80:[49, 31], Operations: ['86-37=49', '41-10=31'] Exploring Operation: 49+31=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 72, 5, 18, 44 ]
35
[ "72/18=4", "44-5=39", "39-4=35" ]
Current State: 35:[72, 5, 18, 44], Operations: [] Exploring Operation: 72/18=4, Resulting Numbers: [5, 44, 4] Generated Node #2: [5, 44, 4] from Operation: 72/18=4 Current State: 35:[5, 44, 4], Operations: ['72/18=4'] Exploring Operation: 44-5=39, Resulting Numbers: [4, 39] Generated Node #3: [4, 39] from Operation: 44-5=39 Current State: 35:[4, 39], Operations: ['72/18=4', '44-5=39'] Exploring Operation: 39-4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 10, 21, 18, 21 ]
27
[ "10+18=28", "21/21=1", "28-1=27" ]
Current State: 27:[10, 21, 18, 21], Operations: [] Exploring Operation: 10+18=28, Resulting Numbers: [21, 21, 28] Generated Node #2: [21, 21, 28] from Operation: 10+18=28 Current State: 27:[21, 21, 28], Operations: ['10+18=28'] Exploring Operation: 21/21=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 21/21=1 Current State: 27:[28, 1], Operations: ['10+18=28', '21/21=1'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 90, 30, 51, 90 ]
34
[ "90-30=60", "51*60=3060", "3060/90=34" ]
Current State: 34:[90, 30, 51, 90], Operations: [] Exploring Operation: 90-30=60, Resulting Numbers: [51, 60] Generated Node #2: [51, 60] from Operation: 90-30=60 Current State: 34:[51, 60], Operations: ['90-30=60'] Exploring Operation: 51*60=3060, Resulting Numbers: [3060] 3060,34 equal: Goal Reached Exploring Operation: 3060/90=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 6, 77, 28, 71 ]
28
[ "77-6=71", "28+71=99", "99-71=28" ]
Current State: 28:[6, 77, 28, 71], Operations: [] Exploring Operation: 77-6=71, Resulting Numbers: [28, 71, 71] Generated Node #2: [28, 71, 71] from Operation: 77-6=71 Current State: 28:[28, 71, 71], Operations: ['77-6=71'] Exploring Operation: 28+71=99, Resulting Numbers: [99] 99,28 equal: Goal Reached Exploring Operation: 99-71=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 58, 37, 20, 94 ]
60
[ "94-20=74", "74/37=2", "58+2=60" ]
Current State: 60:[58, 37, 20, 94], Operations: [] Exploring Operation: 94-20=74, Resulting Numbers: [58, 37, 74] Generated Node #2: [58, 37, 74] from Operation: 94-20=74 Current State: 60:[58, 37, 74], Operations: ['94-20=74'] Exploring Operation: 74/37=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 74/37=2 Current State: 60:[58, 2], Operations: ['94-20=74', '74/37=2'] Exploring Operation: 58+2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 37, 40, 24, 80 ]
27
[ "37+40=77", "24+80=104", "104-77=27" ]
Current State: 27:[37, 40, 24, 80], Operations: [] Exploring Operation: 37+40=77, Resulting Numbers: [24, 80, 77] Generated Node #2: [24, 80, 77] from Operation: 37+40=77 Current State: 27:[24, 80, 77], Operations: ['37+40=77'] Exploring Operation: 24+80=104, Resulting Numbers: [77, 104] Generated Node #3: [77, 104] from Operation: 24+80=104 Current State: 27:[77, 104], Operations: ['37+40=77', '24+80=104'] Exploring Operation: 104-77=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 5, 57, 98, 63 ]
74
[ "57+63=120", "120/5=24", "98-24=74" ]
Current State: 74:[5, 57, 98, 63], Operations: [] Exploring Operation: 57+63=120, Resulting Numbers: [5, 98, 120] Generated Node #2: [5, 98, 120] from Operation: 57+63=120 Current State: 74:[5, 98, 120], Operations: ['57+63=120'] Exploring Operation: 120/5=24, Resulting Numbers: [98, 24] Generated Node #3: [98, 24] from Operation: 120/5=24 Current State: 74:[98, 24], Operations: ['57+63=120', '120/5=24'] Exploring Operation: 98-24=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 29, 65, 72, 64 ]
42
[ "29+65=94", "72+64=136", "136-94=42" ]
Current State: 42:[29, 65, 72, 64], Operations: [] Exploring Operation: 29+65=94, Resulting Numbers: [72, 64, 94] Generated Node #2: [72, 64, 94] from Operation: 29+65=94 Current State: 42:[72, 64, 94], Operations: ['29+65=94'] Exploring Operation: 72+64=136, Resulting Numbers: [94, 136] Generated Node #3: [94, 136] from Operation: 72+64=136 Current State: 42:[94, 136], Operations: ['29+65=94', '72+64=136'] Exploring Operation: 136-94=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 69, 7, 18, 74 ]
61
[ "74-18=56", "56/7=8", "69-8=61" ]
Current State: 61:[69, 7, 18, 74], Operations: [] Exploring Operation: 74-18=56, Resulting Numbers: [69, 7, 56] Generated Node #2: [69, 7, 56] from Operation: 74-18=56 Current State: 61:[69, 7, 56], Operations: ['74-18=56'] Exploring Operation: 56/7=8, Resulting Numbers: [69, 8] Generated Node #3: [69, 8] from Operation: 56/7=8 Current State: 61:[69, 8], Operations: ['74-18=56', '56/7=8'] Exploring Operation: 69-8=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 23, 47, 45, 97 ]
28
[ "47-23=24", "97-45=52", "52-24=28" ]
Current State: 28:[23, 47, 45, 97], Operations: [] Exploring Operation: 47-23=24, Resulting Numbers: [45, 97, 24] Generated Node #2: [45, 97, 24] from Operation: 47-23=24 Current State: 28:[45, 97, 24], Operations: ['47-23=24'] Exploring Operation: 97-45=52, Resulting Numbers: [24, 52] Generated Node #3: [24, 52] from Operation: 97-45=52 Current State: 28:[24, 52], Operations: ['47-23=24', '97-45=52'] Exploring Operation: 52-24=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 93, 12, 6, 4 ]
91
[ "93-12=81", "6+4=10", "81+10=91" ]
Current State: 91:[93, 12, 6, 4], Operations: [] Exploring Operation: 93-12=81, Resulting Numbers: [6, 4, 81] Generated Node #2: [6, 4, 81] from Operation: 93-12=81 Current State: 91:[6, 4, 81], Operations: ['93-12=81'] Exploring Operation: 6+4=10, Resulting Numbers: [81, 10] Generated Node #3: [81, 10] from Operation: 6+4=10 Current State: 91:[81, 10], Operations: ['93-12=81', '6+4=10'] Exploring Operation: 81+10=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 48, 69, 96, 98 ]
27
[ "96/48=2", "98-69=29", "29-2=27" ]
Current State: 27:[48, 69, 96, 98], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [69, 98, 2] Generated Node #2: [69, 98, 2] from Operation: 96/48=2 Current State: 27:[69, 98, 2], Operations: ['96/48=2'] Exploring Operation: 98-69=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 98-69=29 Current State: 27:[2, 29], Operations: ['96/48=2', '98-69=29'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 24, 13, 19, 74 ]
92
[ "24+13=37", "74-19=55", "37+55=92" ]
Current State: 92:[24, 13, 19, 74], Operations: [] Exploring Operation: 24+13=37, Resulting Numbers: [19, 74, 37] Generated Node #2: [19, 74, 37] from Operation: 24+13=37 Current State: 92:[19, 74, 37], Operations: ['24+13=37'] Exploring Operation: 74-19=55, Resulting Numbers: [37, 55] Generated Node #3: [37, 55] from Operation: 74-19=55 Current State: 92:[37, 55], Operations: ['24+13=37', '74-19=55'] Exploring Operation: 37+55=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 45, 63, 6, 26 ]
14
[ "63-45=18", "6+26=32", "32-18=14" ]
Current State: 14:[45, 63, 6, 26], Operations: [] Exploring Operation: 63-45=18, Resulting Numbers: [6, 26, 18] Generated Node #2: [6, 26, 18] from Operation: 63-45=18 Current State: 14:[6, 26, 18], Operations: ['63-45=18'] Exploring Operation: 6+26=32, Resulting Numbers: [18, 32] Generated Node #3: [18, 32] from Operation: 6+26=32 Current State: 14:[18, 32], Operations: ['63-45=18', '6+26=32'] Exploring Operation: 32-18=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 2, 52, 11, 6 ]
68
[ "2*11=22", "52-6=46", "22+46=68" ]
Current State: 68:[2, 52, 11, 6], Operations: [] Exploring Operation: 2*11=22, Resulting Numbers: [52, 6, 22] Generated Node #2: [52, 6, 22] from Operation: 2*11=22 Current State: 68:[52, 6, 22], Operations: ['2*11=22'] Exploring Operation: 52-6=46, Resulting Numbers: [22, 46] Generated Node #3: [22, 46] from Operation: 52-6=46 Current State: 68:[22, 46], Operations: ['2*11=22', '52-6=46'] Exploring Operation: 22+46=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 88, 42, 70, 18 ]
58
[ "70*18=1260", "1260/42=30", "88-30=58" ]
Current State: 58:[88, 42, 70, 18], Operations: [] Exploring Operation: 70*18=1260, Resulting Numbers: [88, 42, 1260] Generated Node #2: [88, 42, 1260] from Operation: 70*18=1260 Current State: 58:[88, 42, 1260], Operations: ['70*18=1260'] Exploring Operation: 1260/42=30, Resulting Numbers: [88, 30] Generated Node #3: [88, 30] from Operation: 1260/42=30 Current State: 58:[88, 30], Operations: ['70*18=1260', '1260/42=30'] Exploring Operation: 88-30=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 69, 30, 91, 68 ]
22
[ "69*30=2070", "2070-68=2002", "2002/91=22" ]
Current State: 22:[69, 30, 91, 68], Operations: [] Exploring Operation: 69*30=2070, Resulting Numbers: [91, 68, 2070] Generated Node #2: [91, 68, 2070] from Operation: 69*30=2070 Current State: 22:[91, 68, 2070], Operations: ['69*30=2070'] Exploring Operation: 2070-68=2002, Resulting Numbers: [91, 2002] Generated Node #3: [91, 2002] from Operation: 2070-68=2002 Current State: 22:[91, 2002], Operations: ['69*30=2070', '2070-68=2002'] Exploring Operation: 2002/91=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 81, 86, 94, 79 ]
90
[ "81-79=2", "86+94=180", "180/2=90" ]
Current State: 90:[81, 86, 94, 79], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [86, 94, 2] Generated Node #2: [86, 94, 2] from Operation: 81-79=2 Current State: 90:[86, 94, 2], Operations: ['81-79=2'] Exploring Operation: 86+94=180, Resulting Numbers: [2, 180] Generated Node #3: [2, 180] from Operation: 86+94=180 Current State: 90:[2, 180], Operations: ['81-79=2', '86+94=180'] Exploring Operation: 180/2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 62, 62, 81, 16 ]
59
[ "62+62=124", "81-16=65", "124-65=59" ]
Current State: 59:[62, 62, 81, 16], Operations: [] Exploring Operation: 62+62=124, Resulting Numbers: [81, 16, 124] Generated Node #2: [81, 16, 124] from Operation: 62+62=124 Current State: 59:[81, 16, 124], Operations: ['62+62=124'] Exploring Operation: 81-16=65, Resulting Numbers: [124, 65] Generated Node #3: [124, 65] from Operation: 81-16=65 Current State: 59:[124, 65], Operations: ['62+62=124', '81-16=65'] Exploring Operation: 124-65=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 22, 3, 60, 51 ]
16
[ "22+3=25", "60-51=9", "25-9=16" ]
Current State: 16:[22, 3, 60, 51], Operations: [] Exploring Operation: 22+3=25, Resulting Numbers: [60, 51, 25] Generated Node #2: [60, 51, 25] from Operation: 22+3=25 Current State: 16:[60, 51, 25], Operations: ['22+3=25'] Exploring Operation: 60-51=9, Resulting Numbers: [25, 9] Generated Node #3: [25, 9] from Operation: 60-51=9 Current State: 16:[25, 9], Operations: ['22+3=25', '60-51=9'] Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 34, 1, 68, 46 ]
43
[ "68/34=2", "46-1=45", "45-2=43" ]
Current State: 43:[34, 1, 68, 46], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [1, 46, 2] Generated Node #2: [1, 46, 2] from Operation: 68/34=2 Current State: 43:[1, 46, 2], Operations: ['68/34=2'] Exploring Operation: 46-1=45, Resulting Numbers: [2, 45] Generated Node #3: [2, 45] from Operation: 46-1=45 Current State: 43:[2, 45], Operations: ['68/34=2', '46-1=45'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 80, 56, 25, 78 ]
79
[ "80-56=24", "25+78=103", "103-24=79" ]
Current State: 79:[80, 56, 25, 78], Operations: [] Exploring Operation: 80-56=24, Resulting Numbers: [25, 78, 24] Generated Node #2: [25, 78, 24] from Operation: 80-56=24 Current State: 79:[25, 78, 24], Operations: ['80-56=24'] Exploring Operation: 25+78=103, Resulting Numbers: [24, 103] Generated Node #3: [24, 103] from Operation: 25+78=103 Current State: 79:[24, 103], Operations: ['80-56=24', '25+78=103'] Exploring Operation: 103-24=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 66, 1, 39, 11 ]
46
[ "66/11=6", "1+39=40", "6+40=46" ]
Current State: 46:[66, 1, 39, 11], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [1, 39, 6] Generated Node #2: [1, 39, 6] from Operation: 66/11=6 Current State: 46:[1, 39, 6], Operations: ['66/11=6'] Exploring Operation: 1+39=40, Resulting Numbers: [6, 40] Generated Node #3: [6, 40] from Operation: 1+39=40 Current State: 46:[6, 40], Operations: ['66/11=6', '1+39=40'] Exploring Operation: 6+40=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 29, 93, 74, 2 ]
39
[ "29*2=58", "93-74=19", "58-19=39" ]
Current State: 39:[29, 93, 74, 2], Operations: [] Exploring Operation: 29*2=58, Resulting Numbers: [93, 74, 58] Generated Node #2: [93, 74, 58] from Operation: 29*2=58 Current State: 39:[93, 74, 58], Operations: ['29*2=58'] Exploring Operation: 93-74=19, Resulting Numbers: [58, 19] Generated Node #3: [58, 19] from Operation: 93-74=19 Current State: 39:[58, 19], Operations: ['29*2=58', '93-74=19'] Exploring Operation: 58-19=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 59, 78, 33, 32 ]
35
[ "59-33=26", "78/26=3", "32+3=35" ]
Current State: 35:[59, 78, 33, 32], Operations: [] Exploring Operation: 59-33=26, Resulting Numbers: [78, 32, 26] Generated Node #2: [78, 32, 26] from Operation: 59-33=26 Current State: 35:[78, 32, 26], Operations: ['59-33=26'] Exploring Operation: 78/26=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 78/26=3 Current State: 35:[32, 3], Operations: ['59-33=26', '78/26=3'] Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 35, 56, 15, 19 ]
95
[ "35+56=91", "19-15=4", "91+4=95" ]
Current State: 95:[35, 56, 15, 19], Operations: [] Exploring Operation: 35+56=91, Resulting Numbers: [15, 19, 91] Generated Node #2: [15, 19, 91] from Operation: 35+56=91 Current State: 95:[15, 19, 91], Operations: ['35+56=91'] Exploring Operation: 19-15=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 19-15=4 Current State: 95:[91, 4], Operations: ['35+56=91', '19-15=4'] Exploring Operation: 91+4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 17, 26, 1, 97 ]
89
[ "26-17=9", "1+97=98", "98-9=89" ]
Current State: 89:[17, 26, 1, 97], Operations: [] Exploring Operation: 26-17=9, Resulting Numbers: [1, 97, 9] Generated Node #2: [1, 97, 9] from Operation: 26-17=9 Current State: 89:[1, 97, 9], Operations: ['26-17=9'] Exploring Operation: 1+97=98, Resulting Numbers: [9, 98] Generated Node #3: [9, 98] from Operation: 1+97=98 Current State: 89:[9, 98], Operations: ['26-17=9', '1+97=98'] Exploring Operation: 98-9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 84, 85, 85, 39 ]
46
[ "85-84=1", "85-39=46", "1*46=46" ]
Current State: 46:[84, 85, 85, 39], Operations: [] Exploring Operation: 85-84=1, Resulting Numbers: [39, 1] Generated Node #2: [39, 1] from Operation: 85-84=1 Current State: 46:[39, 1], Operations: ['85-84=1'] Exploring Operation: 85-39=46, Resulting Numbers: [1, 46] Generated Node #3: [1, 46] from Operation: 85-39=46 Current State: 46:[1, 46], Operations: ['85-84=1', '85-39=46'] Exploring Operation: 1*46=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 10, 13, 59, 76 ]
20
[ "13-10=3", "76-59=17", "3+17=20" ]
Current State: 20:[10, 13, 59, 76], Operations: [] Exploring Operation: 13-10=3, Resulting Numbers: [59, 76, 3] Generated Node #2: [59, 76, 3] from Operation: 13-10=3 Current State: 20:[59, 76, 3], Operations: ['13-10=3'] Exploring Operation: 76-59=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 76-59=17 Current State: 20:[3, 17], Operations: ['13-10=3', '76-59=17'] Exploring Operation: 3+17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 4, 2, 31, 45 ]
84
[ "4+2=6", "45-31=14", "6*14=84" ]
Current State: 84:[4, 2, 31, 45], Operations: [] Exploring Operation: 4+2=6, Resulting Numbers: [31, 45, 6] Generated Node #2: [31, 45, 6] from Operation: 4+2=6 Current State: 84:[31, 45, 6], Operations: ['4+2=6'] Exploring Operation: 45-31=14, Resulting Numbers: [6, 14] Generated Node #3: [6, 14] from Operation: 45-31=14 Current State: 84:[6, 14], Operations: ['4+2=6', '45-31=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 87, 95, 57, 37 ]
88
[ "87+95=182", "57+37=94", "182-94=88" ]
Current State: 88:[87, 95, 57, 37], Operations: [] Exploring Operation: 87+95=182, Resulting Numbers: [57, 37, 182] Generated Node #2: [57, 37, 182] from Operation: 87+95=182 Current State: 88:[57, 37, 182], Operations: ['87+95=182'] Exploring Operation: 57+37=94, Resulting Numbers: [182, 94] Generated Node #3: [182, 94] from Operation: 57+37=94 Current State: 88:[182, 94], Operations: ['87+95=182', '57+37=94'] Exploring Operation: 182-94=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 11, 5, 1, 87 ]
81
[ "11-5=6", "1*87=87", "87-6=81" ]
Current State: 81:[11, 5, 1, 87], Operations: [] Exploring Operation: 11-5=6, Resulting Numbers: [1, 87, 6] Generated Node #2: [1, 87, 6] from Operation: 11-5=6 Current State: 81:[1, 87, 6], Operations: ['11-5=6'] Exploring Operation: 1*87=87, Resulting Numbers: [6, 87] Generated Node #3: [6, 87] from Operation: 1*87=87 Current State: 81:[6, 87], Operations: ['11-5=6', '1*87=87'] Exploring Operation: 87-6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 89, 24, 2, 21 ]
71
[ "89+24=113", "2*21=42", "113-42=71" ]
Current State: 71:[89, 24, 2, 21], Operations: [] Exploring Operation: 89+24=113, Resulting Numbers: [2, 21, 113] Generated Node #2: [2, 21, 113] from Operation: 89+24=113 Current State: 71:[2, 21, 113], Operations: ['89+24=113'] Exploring Operation: 2*21=42, Resulting Numbers: [113, 42] Generated Node #3: [113, 42] from Operation: 2*21=42 Current State: 71:[113, 42], Operations: ['89+24=113', '2*21=42'] Exploring Operation: 113-42=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 17, 95, 25, 14 ]
12
[ "95-25=70", "70/14=5", "17-5=12" ]
Current State: 12:[17, 95, 25, 14], Operations: [] Exploring Operation: 95-25=70, Resulting Numbers: [17, 14, 70] Generated Node #2: [17, 14, 70] from Operation: 95-25=70 Current State: 12:[17, 14, 70], Operations: ['95-25=70'] Exploring Operation: 70/14=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 70/14=5 Current State: 12:[17, 5], Operations: ['95-25=70', '70/14=5'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 81, 99, 13, 94 ]
100
[ "81+13=94", "94/94=1", "99+1=100" ]
Current State: 100:[81, 99, 13, 94], Operations: [] Exploring Operation: 81+13=94, Resulting Numbers: [99, 94, 94] Generated Node #2: [99, 94, 94] from Operation: 81+13=94 Current State: 100:[99, 94, 94], Operations: ['81+13=94'] Exploring Operation: 94/94=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 94/94=1 Current State: 100:[99, 1], Operations: ['81+13=94', '94/94=1'] Exploring Operation: 99+1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 7, 41, 15 ]
73
[ "7*15=105", "41+105=146", "146/2=73" ]
Current State: 73:[2, 7, 41, 15], Operations: [] Exploring Operation: 7*15=105, Resulting Numbers: [2, 41, 105] Generated Node #2: [2, 41, 105] from Operation: 7*15=105 Current State: 73:[2, 41, 105], Operations: ['7*15=105'] Exploring Operation: 41+105=146, Resulting Numbers: [2, 146] Generated Node #3: [2, 146] from Operation: 41+105=146 Current State: 73:[2, 146], Operations: ['7*15=105', '41+105=146'] Exploring Operation: 146/2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 63, 83, 56, 2 ]
78
[ "83-63=20", "56+2=58", "20+58=78" ]
Current State: 78:[63, 83, 56, 2], Operations: [] Exploring Operation: 83-63=20, Resulting Numbers: [56, 2, 20] Generated Node #2: [56, 2, 20] from Operation: 83-63=20 Current State: 78:[56, 2, 20], Operations: ['83-63=20'] Exploring Operation: 56+2=58, Resulting Numbers: [20, 58] Generated Node #3: [20, 58] from Operation: 56+2=58 Current State: 78:[20, 58], Operations: ['83-63=20', '56+2=58'] Exploring Operation: 20+58=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 46, 65, 99 ]
72
[ "2*46=92", "65+99=164", "164-92=72" ]
Current State: 72:[2, 46, 65, 99], Operations: [] Exploring Operation: 2*46=92, Resulting Numbers: [65, 99, 92] Generated Node #2: [65, 99, 92] from Operation: 2*46=92 Current State: 72:[65, 99, 92], Operations: ['2*46=92'] Exploring Operation: 65+99=164, Resulting Numbers: [92, 164] Generated Node #3: [92, 164] from Operation: 65+99=164 Current State: 72:[92, 164], Operations: ['2*46=92', '65+99=164'] Exploring Operation: 164-92=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 81, 7, 73, 83 ]
98
[ "81+7=88", "83-73=10", "88+10=98" ]
Current State: 98:[81, 7, 73, 83], Operations: [] Exploring Operation: 81+7=88, Resulting Numbers: [73, 83, 88] Generated Node #2: [73, 83, 88] from Operation: 81+7=88 Current State: 98:[73, 83, 88], Operations: ['81+7=88'] Exploring Operation: 83-73=10, Resulting Numbers: [88, 10] Generated Node #3: [88, 10] from Operation: 83-73=10 Current State: 98:[88, 10], Operations: ['81+7=88', '83-73=10'] Exploring Operation: 88+10=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 52, 24, 36, 27 ]
84
[ "24*36=864", "864/27=32", "52+32=84" ]
Current State: 84:[52, 24, 36, 27], Operations: [] Exploring Operation: 24*36=864, Resulting Numbers: [52, 27, 864] Generated Node #2: [52, 27, 864] from Operation: 24*36=864 Current State: 84:[52, 27, 864], Operations: ['24*36=864'] Exploring Operation: 864/27=32, Resulting Numbers: [52, 32] Generated Node #3: [52, 32] from Operation: 864/27=32 Current State: 84:[52, 32], Operations: ['24*36=864', '864/27=32'] Exploring Operation: 52+32=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 28, 52, 48, 52 ]
96
[ "52-28=24", "52-48=4", "24*4=96" ]
Current State: 96:[28, 52, 48, 52], Operations: [] Exploring Operation: 52-28=24, Resulting Numbers: [48, 24] Generated Node #2: [48, 24] from Operation: 52-28=24 Current State: 96:[48, 24], Operations: ['52-28=24'] Exploring Operation: 52-48=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 52-48=4 Current State: 96:[24, 4], Operations: ['52-28=24', '52-48=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 11, 89, 2, 2 ]
45
[ "11*2=22", "2*22=44", "89-44=45" ]
Current State: 45:[11, 89, 2, 2], Operations: [] Exploring Operation: 11*2=22, Resulting Numbers: [89, 22] Generated Node #2: [89, 22] from Operation: 11*2=22 Current State: 45:[89, 22], Operations: ['11*2=22'] Exploring Operation: 2*22=44, Resulting Numbers: [89, 44] Generated Node #3: [89, 44] from Operation: 2*22=44 Current State: 45:[89, 44], Operations: ['11*2=22', '2*22=44'] Exploring Operation: 89-44=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 6, 4, 32, 42 ]
56
[ "6*4=24", "32*42=1344", "1344/24=56" ]
Current State: 56:[6, 4, 32, 42], Operations: [] Exploring Operation: 6*4=24, Resulting Numbers: [32, 42, 24] Generated Node #2: [32, 42, 24] from Operation: 6*4=24 Current State: 56:[32, 42, 24], Operations: ['6*4=24'] Exploring Operation: 32*42=1344, Resulting Numbers: [24, 1344] Generated Node #3: [24, 1344] from Operation: 32*42=1344 Current State: 56:[24, 1344], Operations: ['6*4=24', '32*42=1344'] Exploring Operation: 1344/24=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 93, 89, 90, 92 ]
67
[ "93-89=4", "92/4=23", "90-23=67" ]
Current State: 67:[93, 89, 90, 92], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [90, 92, 4] Generated Node #2: [90, 92, 4] from Operation: 93-89=4 Current State: 67:[90, 92, 4], Operations: ['93-89=4'] Exploring Operation: 92/4=23, Resulting Numbers: [90, 23] Generated Node #3: [90, 23] from Operation: 92/4=23 Current State: 67:[90, 23], Operations: ['93-89=4', '92/4=23'] Exploring Operation: 90-23=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 64, 72, 32, 88 ]
32
[ "64/32=2", "88-72=16", "2*16=32" ]
Current State: 32:[64, 72, 32, 88], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [72, 88, 2] Generated Node #2: [72, 88, 2] from Operation: 64/32=2 Current State: 32:[72, 88, 2], Operations: ['64/32=2'] Exploring Operation: 88-72=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 88-72=16 Current State: 32:[2, 16], Operations: ['64/32=2', '88-72=16'] Exploring Operation: 2*16=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 83, 9, 80, 8 ]
83
[ "80/8=10", "10-9=1", "83*1=83" ]
Current State: 83:[83, 9, 80, 8], Operations: [] Exploring Operation: 80/8=10, Resulting Numbers: [83, 9, 10] Generated Node #2: [83, 9, 10] from Operation: 80/8=10 Current State: 83:[83, 9, 10], Operations: ['80/8=10'] Exploring Operation: 10-9=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 10-9=1 Current State: 83:[83, 1], Operations: ['80/8=10', '10-9=1'] Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 62, 68, 17, 65 ]
48
[ "62+68=130", "17+65=82", "130-82=48" ]
Current State: 48:[62, 68, 17, 65], Operations: [] Exploring Operation: 62+68=130, Resulting Numbers: [17, 65, 130] Generated Node #2: [17, 65, 130] from Operation: 62+68=130 Current State: 48:[17, 65, 130], Operations: ['62+68=130'] Exploring Operation: 17+65=82, Resulting Numbers: [130, 82] Generated Node #3: [130, 82] from Operation: 17+65=82 Current State: 48:[130, 82], Operations: ['62+68=130', '17+65=82'] Exploring Operation: 130-82=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 5, 54, 19, 18 ]
25
[ "54-19=35", "35/5=7", "18+7=25" ]
Current State: 25:[5, 54, 19, 18], Operations: [] Exploring Operation: 54-19=35, Resulting Numbers: [5, 18, 35] Generated Node #2: [5, 18, 35] from Operation: 54-19=35 Current State: 25:[5, 18, 35], Operations: ['54-19=35'] Exploring Operation: 35/5=7, Resulting Numbers: [18, 7] Generated Node #3: [18, 7] from Operation: 35/5=7 Current State: 25:[18, 7], Operations: ['54-19=35', '35/5=7'] Exploring Operation: 18+7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 14, 61, 81, 29 ]
37
[ "14*81=1134", "1134-61=1073", "1073/29=37" ]
Current State: 37:[14, 61, 81, 29], Operations: [] Exploring Operation: 14*81=1134, Resulting Numbers: [61, 29, 1134] Generated Node #2: [61, 29, 1134] from Operation: 14*81=1134 Current State: 37:[61, 29, 1134], Operations: ['14*81=1134'] Exploring Operation: 1134-61=1073, Resulting Numbers: [29, 1073] Generated Node #3: [29, 1073] from Operation: 1134-61=1073 Current State: 37:[29, 1073], Operations: ['14*81=1134', '1134-61=1073'] Exploring Operation: 1073/29=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 24, 59, 68, 11 ]
63
[ "68-24=44", "44/11=4", "59+4=63" ]
Current State: 63:[24, 59, 68, 11], Operations: [] Exploring Operation: 68-24=44, Resulting Numbers: [59, 11, 44] Generated Node #2: [59, 11, 44] from Operation: 68-24=44 Current State: 63:[59, 11, 44], Operations: ['68-24=44'] Exploring Operation: 44/11=4, Resulting Numbers: [59, 4] Generated Node #3: [59, 4] from Operation: 44/11=4 Current State: 63:[59, 4], Operations: ['68-24=44', '44/11=4'] Exploring Operation: 59+4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 77, 51, 24, 9 ]
80
[ "51-24=27", "27/9=3", "77+3=80" ]
Current State: 80:[77, 51, 24, 9], Operations: [] Exploring Operation: 51-24=27, Resulting Numbers: [77, 9, 27] Generated Node #2: [77, 9, 27] from Operation: 51-24=27 Current State: 80:[77, 9, 27], Operations: ['51-24=27'] Exploring Operation: 27/9=3, Resulting Numbers: [77, 3] Generated Node #3: [77, 3] from Operation: 27/9=3 Current State: 80:[77, 3], Operations: ['51-24=27', '27/9=3'] Exploring Operation: 77+3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 95, 22, 10, 55 ]
88
[ "95-55=40", "22*40=880", "880/10=88" ]
Current State: 88:[95, 22, 10, 55], Operations: [] Exploring Operation: 95-55=40, Resulting Numbers: [22, 10, 40] Generated Node #2: [22, 10, 40] from Operation: 95-55=40 Current State: 88:[22, 10, 40], Operations: ['95-55=40'] Exploring Operation: 22*40=880, Resulting Numbers: [10, 880] Generated Node #3: [10, 880] from Operation: 22*40=880 Current State: 88:[10, 880], Operations: ['95-55=40', '22*40=880'] Exploring Operation: 880/10=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 83, 3, 99, 57 ]
93
[ "83*3=249", "99+57=156", "249-156=93" ]
Current State: 93:[83, 3, 99, 57], Operations: [] Exploring Operation: 83*3=249, Resulting Numbers: [99, 57, 249] Generated Node #2: [99, 57, 249] from Operation: 83*3=249 Current State: 93:[99, 57, 249], Operations: ['83*3=249'] Exploring Operation: 99+57=156, Resulting Numbers: [249, 156] Generated Node #3: [249, 156] from Operation: 99+57=156 Current State: 93:[249, 156], Operations: ['83*3=249', '99+57=156'] Exploring Operation: 249-156=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 69, 71, 48, 62 ]
65
[ "71-48=23", "69/23=3", "62+3=65" ]
Current State: 65:[69, 71, 48, 62], Operations: [] Exploring Operation: 71-48=23, Resulting Numbers: [69, 62, 23] Generated Node #2: [69, 62, 23] from Operation: 71-48=23 Current State: 65:[69, 62, 23], Operations: ['71-48=23'] Exploring Operation: 69/23=3, Resulting Numbers: [62, 3] Generated Node #3: [62, 3] from Operation: 69/23=3 Current State: 65:[62, 3], Operations: ['71-48=23', '69/23=3'] Exploring Operation: 62+3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 20, 32, 59, 59 ]
51
[ "20+32=52", "59/59=1", "52-1=51" ]
Current State: 51:[20, 32, 59, 59], Operations: [] Exploring Operation: 20+32=52, Resulting Numbers: [59, 59, 52] Generated Node #2: [59, 59, 52] from Operation: 20+32=52 Current State: 51:[59, 59, 52], Operations: ['20+32=52'] Exploring Operation: 59/59=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 59/59=1 Current State: 51:[52, 1], Operations: ['20+32=52', '59/59=1'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4