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
[ 40, 76, 21, 38 ]
63
[ "40+21=61", "76/38=2", "61+2=63" ]
Current State: 63:[40, 76, 21, 38], Operations: [] Exploring Operation: 40+21=61, Resulting Numbers: [76, 38, 61] Generated Node #2: [76, 38, 61] from Operation: 40+21=61 Current State: 63:[76, 38, 61], Operations: ['40+21=61'] Exploring Operation: 76/38=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 76/38=2 Current State: 63:[61, 2], Operations: ['40+21=61', '76/38=2'] Exploring Operation: 61+2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 29, 1, 67, 78 ]
39
[ "29-1=28", "78-67=11", "28+11=39" ]
Current State: 39:[29, 1, 67, 78], Operations: [] Exploring Operation: 29-1=28, Resulting Numbers: [67, 78, 28] Generated Node #2: [67, 78, 28] from Operation: 29-1=28 Current State: 39:[67, 78, 28], Operations: ['29-1=28'] Exploring Operation: 78-67=11, Resulting Numbers: [28, 11] Generated Node #3: [28, 11] from Operation: 78-67=11 Current State: 39:[28, 11], Operations: ['29-1=28', '78-67=11'] Exploring Operation: 28+11=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 77, 48, 16, 42 ]
32
[ "77-42=35", "48/16=3", "35-3=32" ]
Current State: 32:[77, 48, 16, 42], Operations: [] Exploring Operation: 77-42=35, Resulting Numbers: [48, 16, 35] Generated Node #2: [48, 16, 35] from Operation: 77-42=35 Current State: 32:[48, 16, 35], Operations: ['77-42=35'] Exploring Operation: 48/16=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 48/16=3 Current State: 32:[35, 3], Operations: ['77-42=35', '48/16=3'] Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 87, 92, 32, 72 ]
45
[ "92-87=5", "72-32=40", "5+40=45" ]
Current State: 45:[87, 92, 32, 72], Operations: [] Exploring Operation: 92-87=5, Resulting Numbers: [32, 72, 5] Generated Node #2: [32, 72, 5] from Operation: 92-87=5 Current State: 45:[32, 72, 5], Operations: ['92-87=5'] Exploring Operation: 72-32=40, Resulting Numbers: [5, 40] Generated Node #3: [5, 40] from Operation: 72-32=40 Current State: 45:[5, 40], Operations: ['92-87=5', '72-32=40'] Exploring Operation: 5+40=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 61, 61, 26, 13 ]
39
[ "61-61=0", "26+13=39", "0+39=39" ]
Current State: 39:[61, 61, 26, 13], Operations: [] Exploring Operation: 61-61=0, Resulting Numbers: [26, 13, 0] Generated Node #2: [26, 13, 0] from Operation: 61-61=0 Current State: 39:[26, 13, 0], Operations: ['61-61=0'] Exploring Operation: 26+13=39, Resulting Numbers: [0, 39] Generated Node #3: [0, 39] from Operation: 26+13=39 Current State: 39:[0, 39], Operations: ['61-61=0', '26+13=39'] Exploring Operation: 0+39=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 4, 6, 81, 9 ]
31
[ "4+81=85", "6*9=54", "85-54=31" ]
Current State: 31:[4, 6, 81, 9], Operations: [] Exploring Operation: 4+81=85, Resulting Numbers: [6, 9, 85] Generated Node #2: [6, 9, 85] from Operation: 4+81=85 Current State: 31:[6, 9, 85], Operations: ['4+81=85'] Exploring Operation: 6*9=54, Resulting Numbers: [85, 54] Generated Node #3: [85, 54] from Operation: 6*9=54 Current State: 31:[85, 54], Operations: ['4+81=85', '6*9=54'] Exploring Operation: 85-54=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 36, 32, 50, 68 ]
67
[ "36-32=4", "68/4=17", "50+17=67" ]
Current State: 67:[36, 32, 50, 68], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [50, 68, 4] Generated Node #2: [50, 68, 4] from Operation: 36-32=4 Current State: 67:[50, 68, 4], Operations: ['36-32=4'] Exploring Operation: 68/4=17, Resulting Numbers: [50, 17] Generated Node #3: [50, 17] from Operation: 68/4=17 Current State: 67:[50, 17], Operations: ['36-32=4', '68/4=17'] Exploring Operation: 50+17=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 2, 33, 52, 60 ]
37
[ "60-52=8", "8/2=4", "33+4=37" ]
Current State: 37:[2, 33, 52, 60], Operations: [] Exploring Operation: 60-52=8, Resulting Numbers: [2, 33, 8] Generated Node #2: [2, 33, 8] from Operation: 60-52=8 Current State: 37:[2, 33, 8], Operations: ['60-52=8'] Exploring Operation: 8/2=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 8/2=4 Current State: 37:[33, 4], Operations: ['60-52=8', '8/2=4'] Exploring Operation: 33+4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 39, 40, 68, 84 ]
73
[ "39+40=79", "68+84=152", "152-79=73" ]
Current State: 73:[39, 40, 68, 84], Operations: [] Exploring Operation: 39+40=79, Resulting Numbers: [68, 84, 79] Generated Node #2: [68, 84, 79] from Operation: 39+40=79 Current State: 73:[68, 84, 79], Operations: ['39+40=79'] Exploring Operation: 68+84=152, Resulting Numbers: [79, 152] Generated Node #3: [79, 152] from Operation: 68+84=152 Current State: 73:[79, 152], Operations: ['39+40=79', '68+84=152'] Exploring Operation: 152-79=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 53, 37, 12, 93 ]
15
[ "53+37=90", "12+93=105", "105-90=15" ]
Current State: 15:[53, 37, 12, 93], Operations: [] Exploring Operation: 53+37=90, Resulting Numbers: [12, 93, 90] Generated Node #2: [12, 93, 90] from Operation: 53+37=90 Current State: 15:[12, 93, 90], Operations: ['53+37=90'] Exploring Operation: 12+93=105, Resulting Numbers: [90, 105] Generated Node #3: [90, 105] from Operation: 12+93=105 Current State: 15:[90, 105], Operations: ['53+37=90', '12+93=105'] Exploring Operation: 105-90=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 12, 20, 5, 81 ]
84
[ "20-12=8", "81-5=76", "8+76=84" ]
Current State: 84:[12, 20, 5, 81], Operations: [] Exploring Operation: 20-12=8, Resulting Numbers: [5, 81, 8] Generated Node #2: [5, 81, 8] from Operation: 20-12=8 Current State: 84:[5, 81, 8], Operations: ['20-12=8'] Exploring Operation: 81-5=76, Resulting Numbers: [8, 76] Generated Node #3: [8, 76] from Operation: 81-5=76 Current State: 84:[8, 76], Operations: ['20-12=8', '81-5=76'] Exploring Operation: 8+76=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 15, 1, 69, 32 ]
51
[ "15-1=14", "69-32=37", "14+37=51" ]
Current State: 51:[15, 1, 69, 32], Operations: [] Exploring Operation: 15-1=14, Resulting Numbers: [69, 32, 14] Generated Node #2: [69, 32, 14] from Operation: 15-1=14 Current State: 51:[69, 32, 14], Operations: ['15-1=14'] Exploring Operation: 69-32=37, Resulting Numbers: [14, 37] Generated Node #3: [14, 37] from Operation: 69-32=37 Current State: 51:[14, 37], Operations: ['15-1=14', '69-32=37'] Exploring Operation: 14+37=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 69, 4, 36, 98 ]
38
[ "98-69=29", "36/4=9", "29+9=38" ]
Current State: 38:[69, 4, 36, 98], Operations: [] Exploring Operation: 98-69=29, Resulting Numbers: [4, 36, 29] Generated Node #2: [4, 36, 29] from Operation: 98-69=29 Current State: 38:[4, 36, 29], Operations: ['98-69=29'] Exploring Operation: 36/4=9, Resulting Numbers: [29, 9] Generated Node #3: [29, 9] from Operation: 36/4=9 Current State: 38:[29, 9], Operations: ['98-69=29', '36/4=9'] Exploring Operation: 29+9=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 12, 7, 22, 25 ]
27
[ "12-7=5", "25/5=5", "22+5=27" ]
Current State: 27:[12, 7, 22, 25], Operations: [] Exploring Operation: 12-7=5, Resulting Numbers: [22, 25, 5] Generated Node #2: [22, 25, 5] from Operation: 12-7=5 Current State: 27:[22, 25, 5], Operations: ['12-7=5'] Exploring Operation: 25/5=5, Resulting Numbers: [22, 5] Generated Node #3: [22, 5] from Operation: 25/5=5 Current State: 27:[22, 5], Operations: ['12-7=5', '25/5=5'] Exploring Operation: 22+5=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 49, 41, 15, 74 ]
51
[ "49-41=8", "74-15=59", "59-8=51" ]
Current State: 51:[49, 41, 15, 74], Operations: [] Exploring Operation: 49-41=8, Resulting Numbers: [15, 74, 8] Generated Node #2: [15, 74, 8] from Operation: 49-41=8 Current State: 51:[15, 74, 8], Operations: ['49-41=8'] Exploring Operation: 74-15=59, Resulting Numbers: [8, 59] Generated Node #3: [8, 59] from Operation: 74-15=59 Current State: 51:[8, 59], Operations: ['49-41=8', '74-15=59'] Exploring Operation: 59-8=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 6, 2, 7, 55 ]
60
[ "6*2=12", "55-7=48", "12+48=60" ]
Current State: 60:[6, 2, 7, 55], Operations: [] Exploring Operation: 6*2=12, Resulting Numbers: [7, 55, 12] Generated Node #2: [7, 55, 12] from Operation: 6*2=12 Current State: 60:[7, 55, 12], Operations: ['6*2=12'] Exploring Operation: 55-7=48, Resulting Numbers: [12, 48] Generated Node #3: [12, 48] from Operation: 55-7=48 Current State: 60:[12, 48], Operations: ['6*2=12', '55-7=48'] Exploring Operation: 12+48=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 57, 46, 47, 98 ]
42
[ "57+46=103", "47+98=145", "145-103=42" ]
Current State: 42:[57, 46, 47, 98], Operations: [] Exploring Operation: 57+46=103, Resulting Numbers: [47, 98, 103] Generated Node #2: [47, 98, 103] from Operation: 57+46=103 Current State: 42:[47, 98, 103], Operations: ['57+46=103'] Exploring Operation: 47+98=145, Resulting Numbers: [103, 145] Generated Node #3: [103, 145] from Operation: 47+98=145 Current State: 42:[103, 145], Operations: ['57+46=103', '47+98=145'] Exploring Operation: 145-103=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 48, 48, 56, 5 ]
14
[ "48/48=1", "5-1=4", "56/4=14" ]
Current State: 14:[48, 48, 56, 5], Operations: [] Exploring Operation: 48/48=1, Resulting Numbers: [56, 5, 1] Generated Node #2: [56, 5, 1] from Operation: 48/48=1 Current State: 14:[56, 5, 1], Operations: ['48/48=1'] Exploring Operation: 5-1=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 5-1=4 Current State: 14:[56, 4], Operations: ['48/48=1', '5-1=4'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 93, 67, 89, 69 ]
85
[ "69-67=2", "89*2=178", "178-93=85" ]
Current State: 85:[93, 67, 89, 69], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [93, 89, 2] Generated Node #2: [93, 89, 2] from Operation: 69-67=2 Current State: 85:[93, 89, 2], Operations: ['69-67=2'] Exploring Operation: 89*2=178, Resulting Numbers: [93, 178] Generated Node #3: [93, 178] from Operation: 89*2=178 Current State: 85:[93, 178], Operations: ['69-67=2', '89*2=178'] Exploring Operation: 178-93=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 71, 21, 23, 67 ]
61
[ "71-67=4", "21*4=84", "84-23=61" ]
Current State: 61:[71, 21, 23, 67], Operations: [] Exploring Operation: 71-67=4, Resulting Numbers: [21, 23, 4] Generated Node #2: [21, 23, 4] from Operation: 71-67=4 Current State: 61:[21, 23, 4], Operations: ['71-67=4'] Exploring Operation: 21*4=84, Resulting Numbers: [23, 84] Generated Node #3: [23, 84] from Operation: 21*4=84 Current State: 61:[23, 84], Operations: ['71-67=4', '21*4=84'] Exploring Operation: 84-23=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 33, 26, 70, 61 ]
63
[ "33-26=7", "70-61=9", "7*9=63" ]
Current State: 63:[33, 26, 70, 61], Operations: [] Exploring Operation: 33-26=7, Resulting Numbers: [70, 61, 7] Generated Node #2: [70, 61, 7] from Operation: 33-26=7 Current State: 63:[70, 61, 7], Operations: ['33-26=7'] Exploring Operation: 70-61=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 70-61=9 Current State: 63:[7, 9], Operations: ['33-26=7', '70-61=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 27, 50, 5, 98 ]
70
[ "50-27=23", "98-5=93", "93-23=70" ]
Current State: 70:[27, 50, 5, 98], Operations: [] Exploring Operation: 50-27=23, Resulting Numbers: [5, 98, 23] Generated Node #2: [5, 98, 23] from Operation: 50-27=23 Current State: 70:[5, 98, 23], Operations: ['50-27=23'] Exploring Operation: 98-5=93, Resulting Numbers: [23, 93] Generated Node #3: [23, 93] from Operation: 98-5=93 Current State: 70:[23, 93], Operations: ['50-27=23', '98-5=93'] Exploring Operation: 93-23=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 58, 81, 78, 74 ]
92
[ "81-58=23", "78-74=4", "23*4=92" ]
Current State: 92:[58, 81, 78, 74], Operations: [] Exploring Operation: 81-58=23, Resulting Numbers: [78, 74, 23] Generated Node #2: [78, 74, 23] from Operation: 81-58=23 Current State: 92:[78, 74, 23], Operations: ['81-58=23'] Exploring Operation: 78-74=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 78-74=4 Current State: 92:[23, 4], Operations: ['81-58=23', '78-74=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 44, 33, 36, 72 ]
22
[ "44-33=11", "72/36=2", "11*2=22" ]
Current State: 22:[44, 33, 36, 72], Operations: [] Exploring Operation: 44-33=11, Resulting Numbers: [36, 72, 11] Generated Node #2: [36, 72, 11] from Operation: 44-33=11 Current State: 22:[36, 72, 11], Operations: ['44-33=11'] Exploring Operation: 72/36=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 72/36=2 Current State: 22:[11, 2], Operations: ['44-33=11', '72/36=2'] Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 61, 45, 3, 59 ]
17
[ "61-59=2", "45/3=15", "2+15=17" ]
Current State: 17:[61, 45, 3, 59], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [45, 3, 2] Generated Node #2: [45, 3, 2] from Operation: 61-59=2 Current State: 17:[45, 3, 2], Operations: ['61-59=2'] Exploring Operation: 45/3=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 45/3=15 Current State: 17:[2, 15], Operations: ['61-59=2', '45/3=15'] Exploring Operation: 2+15=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 78, 70, 72, 76 ]
59
[ "76-70=6", "78/6=13", "72-13=59" ]
Current State: 59:[78, 70, 72, 76], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [78, 72, 6] Generated Node #2: [78, 72, 6] from Operation: 76-70=6 Current State: 59:[78, 72, 6], Operations: ['76-70=6'] Exploring Operation: 78/6=13, Resulting Numbers: [72, 13] Generated Node #3: [72, 13] from Operation: 78/6=13 Current State: 59:[72, 13], Operations: ['76-70=6', '78/6=13'] Exploring Operation: 72-13=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 86, 70, 85, 50 ]
88
[ "85-50=35", "70/35=2", "86+2=88" ]
Current State: 88:[86, 70, 85, 50], Operations: [] Exploring Operation: 85-50=35, Resulting Numbers: [86, 70, 35] Generated Node #2: [86, 70, 35] from Operation: 85-50=35 Current State: 88:[86, 70, 35], Operations: ['85-50=35'] Exploring Operation: 70/35=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 70/35=2 Current State: 88:[86, 2], Operations: ['85-50=35', '70/35=2'] Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 11, 10, 26, 52 ]
32
[ "11*10=110", "26+52=78", "110-78=32" ]
Current State: 32:[11, 10, 26, 52], Operations: [] Exploring Operation: 11*10=110, Resulting Numbers: [26, 52, 110] Generated Node #2: [26, 52, 110] from Operation: 11*10=110 Current State: 32:[26, 52, 110], Operations: ['11*10=110'] Exploring Operation: 26+52=78, Resulting Numbers: [110, 78] Generated Node #3: [110, 78] from Operation: 26+52=78 Current State: 32:[110, 78], Operations: ['11*10=110', '26+52=78'] Exploring Operation: 110-78=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 20, 71, 94, 24 ]
19
[ "71-20=51", "94-24=70", "70-51=19" ]
Current State: 19:[20, 71, 94, 24], Operations: [] Exploring Operation: 71-20=51, Resulting Numbers: [94, 24, 51] Generated Node #2: [94, 24, 51] from Operation: 71-20=51 Current State: 19:[94, 24, 51], Operations: ['71-20=51'] Exploring Operation: 94-24=70, Resulting Numbers: [51, 70] Generated Node #3: [51, 70] from Operation: 94-24=70 Current State: 19:[51, 70], Operations: ['71-20=51', '94-24=70'] Exploring Operation: 70-51=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 42, 80, 36, 22 ]
12
[ "42*22=924", "36+924=960", "960/80=12" ]
Current State: 12:[42, 80, 36, 22], Operations: [] Exploring Operation: 42*22=924, Resulting Numbers: [80, 36, 924] Generated Node #2: [80, 36, 924] from Operation: 42*22=924 Current State: 12:[80, 36, 924], Operations: ['42*22=924'] Exploring Operation: 36+924=960, Resulting Numbers: [80, 960] Generated Node #3: [80, 960] from Operation: 36+924=960 Current State: 12:[80, 960], Operations: ['42*22=924', '36+924=960'] Exploring Operation: 960/80=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 84, 67, 36, 90 ]
25
[ "84+67=151", "36+90=126", "151-126=25" ]
Current State: 25:[84, 67, 36, 90], Operations: [] Exploring Operation: 84+67=151, Resulting Numbers: [36, 90, 151] Generated Node #2: [36, 90, 151] from Operation: 84+67=151 Current State: 25:[36, 90, 151], Operations: ['84+67=151'] Exploring Operation: 36+90=126, Resulting Numbers: [151, 126] Generated Node #3: [151, 126] from Operation: 36+90=126 Current State: 25:[151, 126], Operations: ['84+67=151', '36+90=126'] Exploring Operation: 151-126=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 63, 37, 83, 15 ]
94
[ "63-37=26", "83-15=68", "26+68=94" ]
Current State: 94:[63, 37, 83, 15], Operations: [] Exploring Operation: 63-37=26, Resulting Numbers: [83, 15, 26] Generated Node #2: [83, 15, 26] from Operation: 63-37=26 Current State: 94:[83, 15, 26], Operations: ['63-37=26'] Exploring Operation: 83-15=68, Resulting Numbers: [26, 68] Generated Node #3: [26, 68] from Operation: 83-15=68 Current State: 94:[26, 68], Operations: ['63-37=26', '83-15=68'] Exploring Operation: 26+68=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 88, 79, 11, 44 ]
83
[ "88-44=44", "44/11=4", "79+4=83" ]
Current State: 83:[88, 79, 11, 44], Operations: [] Exploring Operation: 88-44=44, Resulting Numbers: [79, 11, 44] Generated Node #2: [79, 11, 44] from Operation: 88-44=44 Current State: 83:[79, 11, 44], Operations: ['88-44=44'] Exploring Operation: 44/11=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 44/11=4 Current State: 83:[79, 4], Operations: ['88-44=44', '44/11=4'] Exploring Operation: 79+4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 13, 63, 6, 56 ]
49
[ "13-6=7", "63-56=7", "7*7=49" ]
Current State: 49:[13, 63, 6, 56], Operations: [] Exploring Operation: 13-6=7, Resulting Numbers: [63, 56, 7] Generated Node #2: [63, 56, 7] from Operation: 13-6=7 Current State: 49:[63, 56, 7], Operations: ['13-6=7'] Exploring Operation: 63-56=7, Resulting Numbers: [7, 7] Generated Node #3: [7, 7] from Operation: 63-56=7 Current State: 49:[7, 7], Operations: ['13-6=7', '63-56=7'] Exploring Operation: 7*7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 63, 72, 47, 23 ]
79
[ "72-63=9", "47+23=70", "9+70=79" ]
Current State: 79:[63, 72, 47, 23], Operations: [] Exploring Operation: 72-63=9, Resulting Numbers: [47, 23, 9] Generated Node #2: [47, 23, 9] from Operation: 72-63=9 Current State: 79:[47, 23, 9], Operations: ['72-63=9'] Exploring Operation: 47+23=70, Resulting Numbers: [9, 70] Generated Node #3: [9, 70] from Operation: 47+23=70 Current State: 79:[9, 70], Operations: ['72-63=9', '47+23=70'] Exploring Operation: 9+70=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 16, 86, 46, 82 ]
94
[ "46+82=128", "128/16=8", "86+8=94" ]
Current State: 94:[16, 86, 46, 82], Operations: [] Exploring Operation: 46+82=128, Resulting Numbers: [16, 86, 128] Generated Node #2: [16, 86, 128] from Operation: 46+82=128 Current State: 94:[16, 86, 128], Operations: ['46+82=128'] Exploring Operation: 128/16=8, Resulting Numbers: [86, 8] Generated Node #3: [86, 8] from Operation: 128/16=8 Current State: 94:[86, 8], Operations: ['46+82=128', '128/16=8'] Exploring Operation: 86+8=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 40, 53, 52, 40 ]
10
[ "53-40=13", "52/13=4", "40/4=10" ]
Current State: 10:[40, 53, 52, 40], Operations: [] Exploring Operation: 53-40=13, Resulting Numbers: [52, 13] Generated Node #2: [52, 13] from Operation: 53-40=13 Current State: 10:[52, 13], Operations: ['53-40=13'] Exploring Operation: 52/13=4, Resulting Numbers: [4] 4,10 equal: Goal Reached Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 75, 90, 15, 82 ]
81
[ "90-75=15", "15/15=1", "82-1=81" ]
Current State: 81:[75, 90, 15, 82], Operations: [] Exploring Operation: 90-75=15, Resulting Numbers: [15, 82, 15] Generated Node #2: [15, 82, 15] from Operation: 90-75=15 Current State: 81:[15, 82, 15], Operations: ['90-75=15'] Exploring Operation: 15/15=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 15/15=1 Current State: 81:[82, 1], Operations: ['90-75=15', '15/15=1'] Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 25, 99, 20, 77 ]
23
[ "99-25=74", "20+77=97", "97-74=23" ]
Current State: 23:[25, 99, 20, 77], Operations: [] Exploring Operation: 99-25=74, Resulting Numbers: [20, 77, 74] Generated Node #2: [20, 77, 74] from Operation: 99-25=74 Current State: 23:[20, 77, 74], Operations: ['99-25=74'] Exploring Operation: 20+77=97, Resulting Numbers: [74, 97] Generated Node #3: [74, 97] from Operation: 20+77=97 Current State: 23:[74, 97], Operations: ['99-25=74', '20+77=97'] Exploring Operation: 97-74=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 62, 44, 57, 85 ]
36
[ "62+44=106", "57+85=142", "142-106=36" ]
Current State: 36:[62, 44, 57, 85], Operations: [] Exploring Operation: 62+44=106, Resulting Numbers: [57, 85, 106] Generated Node #2: [57, 85, 106] from Operation: 62+44=106 Current State: 36:[57, 85, 106], Operations: ['62+44=106'] Exploring Operation: 57+85=142, Resulting Numbers: [106, 142] Generated Node #3: [106, 142] from Operation: 57+85=142 Current State: 36:[106, 142], Operations: ['62+44=106', '57+85=142'] Exploring Operation: 142-106=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 55, 41, 3, 67 ]
91
[ "41+67=108", "108/3=36", "55+36=91" ]
Current State: 91:[55, 41, 3, 67], Operations: [] Exploring Operation: 41+67=108, Resulting Numbers: [55, 3, 108] Generated Node #2: [55, 3, 108] from Operation: 41+67=108 Current State: 91:[55, 3, 108], Operations: ['41+67=108'] Exploring Operation: 108/3=36, Resulting Numbers: [55, 36] Generated Node #3: [55, 36] from Operation: 108/3=36 Current State: 91:[55, 36], Operations: ['41+67=108', '108/3=36'] Exploring Operation: 55+36=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 16, 81, 66, 79 ]
79
[ "81-16=65", "66-65=1", "79*1=79" ]
Current State: 79:[16, 81, 66, 79], Operations: [] Exploring Operation: 81-16=65, Resulting Numbers: [66, 79, 65] Generated Node #2: [66, 79, 65] from Operation: 81-16=65 Current State: 79:[66, 79, 65], Operations: ['81-16=65'] Exploring Operation: 66-65=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 66-65=1 Current State: 79:[79, 1], Operations: ['81-16=65', '66-65=1'] Exploring Operation: 79*1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 79, 13, 1, 27 ]
33
[ "79-1=78", "78/13=6", "27+6=33" ]
Current State: 33:[79, 13, 1, 27], Operations: [] Exploring Operation: 79-1=78, Resulting Numbers: [13, 27, 78] Generated Node #2: [13, 27, 78] from Operation: 79-1=78 Current State: 33:[13, 27, 78], Operations: ['79-1=78'] Exploring Operation: 78/13=6, Resulting Numbers: [27, 6] Generated Node #3: [27, 6] from Operation: 78/13=6 Current State: 33:[27, 6], Operations: ['79-1=78', '78/13=6'] Exploring Operation: 27+6=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 9, 78, 30, 74 ]
66
[ "78-74=4", "9*4=36", "30+36=66" ]
Current State: 66:[9, 78, 30, 74], Operations: [] Exploring Operation: 78-74=4, Resulting Numbers: [9, 30, 4] Generated Node #2: [9, 30, 4] from Operation: 78-74=4 Current State: 66:[9, 30, 4], Operations: ['78-74=4'] Exploring Operation: 9*4=36, Resulting Numbers: [30, 36] Generated Node #3: [30, 36] from Operation: 9*4=36 Current State: 66:[30, 36], Operations: ['78-74=4', '9*4=36'] Exploring Operation: 30+36=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 3, 24, 41, 27 ]
30
[ "41-24=17", "27-17=10", "3*10=30" ]
Current State: 30:[3, 24, 41, 27], Operations: [] Exploring Operation: 41-24=17, Resulting Numbers: [3, 27, 17] Generated Node #2: [3, 27, 17] from Operation: 41-24=17 Current State: 30:[3, 27, 17], Operations: ['41-24=17'] Exploring Operation: 27-17=10, Resulting Numbers: [3, 10] Generated Node #3: [3, 10] from Operation: 27-17=10 Current State: 30:[3, 10], Operations: ['41-24=17', '27-17=10'] Exploring Operation: 3*10=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 5, 67, 80, 12 ]
47
[ "5*12=60", "80-67=13", "60-13=47" ]
Current State: 47:[5, 67, 80, 12], Operations: [] Exploring Operation: 5*12=60, Resulting Numbers: [67, 80, 60] Generated Node #2: [67, 80, 60] from Operation: 5*12=60 Current State: 47:[67, 80, 60], Operations: ['5*12=60'] Exploring Operation: 80-67=13, Resulting Numbers: [60, 13] Generated Node #3: [60, 13] from Operation: 80-67=13 Current State: 47:[60, 13], Operations: ['5*12=60', '80-67=13'] Exploring Operation: 60-13=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 5, 41, 36, 44 ]
57
[ "36+44=80", "80/5=16", "41+16=57" ]
Current State: 57:[5, 41, 36, 44], Operations: [] Exploring Operation: 36+44=80, Resulting Numbers: [5, 41, 80] Generated Node #2: [5, 41, 80] from Operation: 36+44=80 Current State: 57:[5, 41, 80], Operations: ['36+44=80'] Exploring Operation: 80/5=16, Resulting Numbers: [41, 16] Generated Node #3: [41, 16] from Operation: 80/5=16 Current State: 57:[41, 16], Operations: ['36+44=80', '80/5=16'] Exploring Operation: 41+16=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 64, 34, 13, 78 ]
34
[ "64+13=77", "78-77=1", "34*1=34" ]
Current State: 34:[64, 34, 13, 78], Operations: [] Exploring Operation: 64+13=77, Resulting Numbers: [34, 78, 77] Generated Node #2: [34, 78, 77] from Operation: 64+13=77 Current State: 34:[34, 78, 77], Operations: ['64+13=77'] Exploring Operation: 78-77=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 78-77=1 Current State: 34:[34, 1], Operations: ['64+13=77', '78-77=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 34, 59, 46, 3 ]
45
[ "34+59=93", "46*3=138", "138-93=45" ]
Current State: 45:[34, 59, 46, 3], Operations: [] Exploring Operation: 34+59=93, Resulting Numbers: [46, 3, 93] Generated Node #2: [46, 3, 93] from Operation: 34+59=93 Current State: 45:[46, 3, 93], Operations: ['34+59=93'] Exploring Operation: 46*3=138, Resulting Numbers: [93, 138] Generated Node #3: [93, 138] from Operation: 46*3=138 Current State: 45:[93, 138], Operations: ['34+59=93', '46*3=138'] Exploring Operation: 138-93=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 39, 4, 50, 99 ]
36
[ "50-39=11", "4*99=396", "396/11=36" ]
Current State: 36:[39, 4, 50, 99], Operations: [] Exploring Operation: 50-39=11, Resulting Numbers: [4, 99, 11] Generated Node #2: [4, 99, 11] from Operation: 50-39=11 Current State: 36:[4, 99, 11], Operations: ['50-39=11'] Exploring Operation: 4*99=396, Resulting Numbers: [11, 396] Generated Node #3: [11, 396] from Operation: 4*99=396 Current State: 36:[11, 396], Operations: ['50-39=11', '4*99=396'] Exploring Operation: 396/11=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 28, 55, 82, 58 ]
59
[ "28+55=83", "82-58=24", "83-24=59" ]
Current State: 59:[28, 55, 82, 58], Operations: [] Exploring Operation: 28+55=83, Resulting Numbers: [82, 58, 83] Generated Node #2: [82, 58, 83] from Operation: 28+55=83 Current State: 59:[82, 58, 83], Operations: ['28+55=83'] Exploring Operation: 82-58=24, Resulting Numbers: [83, 24] Generated Node #3: [83, 24] from Operation: 82-58=24 Current State: 59:[83, 24], Operations: ['28+55=83', '82-58=24'] Exploring Operation: 83-24=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 40, 4, 70, 83 ]
23
[ "40-4=36", "83-70=13", "36-13=23" ]
Current State: 23:[40, 4, 70, 83], Operations: [] Exploring Operation: 40-4=36, Resulting Numbers: [70, 83, 36] Generated Node #2: [70, 83, 36] from Operation: 40-4=36 Current State: 23:[70, 83, 36], Operations: ['40-4=36'] Exploring Operation: 83-70=13, Resulting Numbers: [36, 13] Generated Node #3: [36, 13] from Operation: 83-70=13 Current State: 23:[36, 13], Operations: ['40-4=36', '83-70=13'] Exploring Operation: 36-13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 68, 9, 34, 42 ]
60
[ "68*9=612", "612/34=18", "42+18=60" ]
Current State: 60:[68, 9, 34, 42], Operations: [] Exploring Operation: 68*9=612, Resulting Numbers: [34, 42, 612] Generated Node #2: [34, 42, 612] from Operation: 68*9=612 Current State: 60:[34, 42, 612], Operations: ['68*9=612'] Exploring Operation: 612/34=18, Resulting Numbers: [42, 18] Generated Node #3: [42, 18] from Operation: 612/34=18 Current State: 60:[42, 18], Operations: ['68*9=612', '612/34=18'] Exploring Operation: 42+18=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 42, 52, 7, 88 ]
22
[ "52+88=140", "140/7=20", "42-20=22" ]
Current State: 22:[42, 52, 7, 88], Operations: [] Exploring Operation: 52+88=140, Resulting Numbers: [42, 7, 140] Generated Node #2: [42, 7, 140] from Operation: 52+88=140 Current State: 22:[42, 7, 140], Operations: ['52+88=140'] Exploring Operation: 140/7=20, Resulting Numbers: [42, 20] Generated Node #3: [42, 20] from Operation: 140/7=20 Current State: 22:[42, 20], Operations: ['52+88=140', '140/7=20'] Exploring Operation: 42-20=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 4, 21, 6, 11 ]
100
[ "4+6=10", "21-11=10", "10*10=100" ]
Current State: 100:[4, 21, 6, 11], Operations: [] Exploring Operation: 4+6=10, Resulting Numbers: [21, 11, 10] Generated Node #2: [21, 11, 10] from Operation: 4+6=10 Current State: 100:[21, 11, 10], Operations: ['4+6=10'] Exploring Operation: 21-11=10, Resulting Numbers: [10, 10] Generated Node #3: [10, 10] from Operation: 21-11=10 Current State: 100:[10, 10], Operations: ['4+6=10', '21-11=10'] Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 90, 77, 17, 29 ]
33
[ "90-77=13", "17+29=46", "46-13=33" ]
Current State: 33:[90, 77, 17, 29], Operations: [] Exploring Operation: 90-77=13, Resulting Numbers: [17, 29, 13] Generated Node #2: [17, 29, 13] from Operation: 90-77=13 Current State: 33:[17, 29, 13], Operations: ['90-77=13'] Exploring Operation: 17+29=46, Resulting Numbers: [13, 46] Generated Node #3: [13, 46] from Operation: 17+29=46 Current State: 33:[13, 46], Operations: ['90-77=13', '17+29=46'] Exploring Operation: 46-13=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 84, 54, 75, 57 ]
77
[ "84-57=27", "54/27=2", "75+2=77" ]
Current State: 77:[84, 54, 75, 57], Operations: [] Exploring Operation: 84-57=27, Resulting Numbers: [54, 75, 27] Generated Node #2: [54, 75, 27] from Operation: 84-57=27 Current State: 77:[54, 75, 27], Operations: ['84-57=27'] Exploring Operation: 54/27=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 54/27=2 Current State: 77:[75, 2], Operations: ['84-57=27', '54/27=2'] Exploring Operation: 75+2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 95, 6, 11, 82 ]
65
[ "95-82=13", "11-6=5", "13*5=65" ]
Current State: 65:[95, 6, 11, 82], Operations: [] Exploring Operation: 95-82=13, Resulting Numbers: [6, 11, 13] Generated Node #2: [6, 11, 13] from Operation: 95-82=13 Current State: 65:[6, 11, 13], Operations: ['95-82=13'] Exploring Operation: 11-6=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 11-6=5 Current State: 65:[13, 5], Operations: ['95-82=13', '11-6=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 5, 20, 95, 92 ]
69
[ "20+95=115", "115/5=23", "92-23=69" ]
Current State: 69:[5, 20, 95, 92], Operations: [] Exploring Operation: 20+95=115, Resulting Numbers: [5, 92, 115] Generated Node #2: [5, 92, 115] from Operation: 20+95=115 Current State: 69:[5, 92, 115], Operations: ['20+95=115'] Exploring Operation: 115/5=23, Resulting Numbers: [92, 23] Generated Node #3: [92, 23] from Operation: 115/5=23 Current State: 69:[92, 23], Operations: ['20+95=115', '115/5=23'] Exploring Operation: 92-23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 32, 68, 17, 18 ]
65
[ "32+68=100", "17+18=35", "100-35=65" ]
Current State: 65:[32, 68, 17, 18], Operations: [] Exploring Operation: 32+68=100, Resulting Numbers: [17, 18, 100] Generated Node #2: [17, 18, 100] from Operation: 32+68=100 Current State: 65:[17, 18, 100], Operations: ['32+68=100'] Exploring Operation: 17+18=35, Resulting Numbers: [100, 35] Generated Node #3: [100, 35] from Operation: 17+18=35 Current State: 65:[100, 35], Operations: ['32+68=100', '17+18=35'] Exploring Operation: 100-35=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 1, 79, 83, 41 ]
81
[ "83-1=82", "82/41=2", "79+2=81" ]
Current State: 81:[1, 79, 83, 41], Operations: [] Exploring Operation: 83-1=82, Resulting Numbers: [79, 41, 82] Generated Node #2: [79, 41, 82] from Operation: 83-1=82 Current State: 81:[79, 41, 82], Operations: ['83-1=82'] Exploring Operation: 82/41=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 82/41=2 Current State: 81:[79, 2], Operations: ['83-1=82', '82/41=2'] Exploring Operation: 79+2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 30, 56, 93, 10 ]
17
[ "30+56=86", "93+10=103", "103-86=17" ]
Current State: 17:[30, 56, 93, 10], Operations: [] Exploring Operation: 30+56=86, Resulting Numbers: [93, 10, 86] Generated Node #2: [93, 10, 86] from Operation: 30+56=86 Current State: 17:[93, 10, 86], Operations: ['30+56=86'] Exploring Operation: 93+10=103, Resulting Numbers: [86, 103] Generated Node #3: [86, 103] from Operation: 93+10=103 Current State: 17:[86, 103], Operations: ['30+56=86', '93+10=103'] Exploring Operation: 103-86=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 2, 27, 98, 81 ]
22
[ "27+98=125", "125-81=44", "44/2=22" ]
Current State: 22:[2, 27, 98, 81], Operations: [] Exploring Operation: 27+98=125, Resulting Numbers: [2, 81, 125] Generated Node #2: [2, 81, 125] from Operation: 27+98=125 Current State: 22:[2, 81, 125], Operations: ['27+98=125'] Exploring Operation: 125-81=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 125-81=44 Current State: 22:[2, 44], Operations: ['27+98=125', '125-81=44'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 61, 14, 5, 15 ]
28
[ "61-14=47", "5*15=75", "75-47=28" ]
Current State: 28:[61, 14, 5, 15], Operations: [] Exploring Operation: 61-14=47, Resulting Numbers: [5, 15, 47] Generated Node #2: [5, 15, 47] from Operation: 61-14=47 Current State: 28:[5, 15, 47], Operations: ['61-14=47'] Exploring Operation: 5*15=75, Resulting Numbers: [47, 75] Generated Node #3: [47, 75] from Operation: 5*15=75 Current State: 28:[47, 75], Operations: ['61-14=47', '5*15=75'] Exploring Operation: 75-47=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 15, 50, 45, 70 ]
23
[ "45/15=3", "70-50=20", "3+20=23" ]
Current State: 23:[15, 50, 45, 70], Operations: [] Exploring Operation: 45/15=3, Resulting Numbers: [50, 70, 3] Generated Node #2: [50, 70, 3] from Operation: 45/15=3 Current State: 23:[50, 70, 3], Operations: ['45/15=3'] Exploring Operation: 70-50=20, Resulting Numbers: [3, 20] Generated Node #3: [3, 20] from Operation: 70-50=20 Current State: 23:[3, 20], Operations: ['45/15=3', '70-50=20'] Exploring Operation: 3+20=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 47, 90, 8, 14 ]
34
[ "90+14=104", "104/8=13", "47-13=34" ]
Current State: 34:[47, 90, 8, 14], Operations: [] Exploring Operation: 90+14=104, Resulting Numbers: [47, 8, 104] Generated Node #2: [47, 8, 104] from Operation: 90+14=104 Current State: 34:[47, 8, 104], Operations: ['90+14=104'] Exploring Operation: 104/8=13, Resulting Numbers: [47, 13] Generated Node #3: [47, 13] from Operation: 104/8=13 Current State: 34:[47, 13], Operations: ['90+14=104', '104/8=13'] Exploring Operation: 47-13=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 83, 73, 5, 87 ]
89
[ "83-73=10", "10/5=2", "87+2=89" ]
Current State: 89:[83, 73, 5, 87], Operations: [] Exploring Operation: 83-73=10, Resulting Numbers: [5, 87, 10] Generated Node #2: [5, 87, 10] from Operation: 83-73=10 Current State: 89:[5, 87, 10], Operations: ['83-73=10'] Exploring Operation: 10/5=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 10/5=2 Current State: 89:[87, 2], Operations: ['83-73=10', '10/5=2'] Exploring Operation: 87+2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 90, 93, 48, 8 ]
10
[ "93-48=45", "90/45=2", "8+2=10" ]
Current State: 10:[90, 93, 48, 8], Operations: [] Exploring Operation: 93-48=45, Resulting Numbers: [90, 8, 45] Generated Node #2: [90, 8, 45] from Operation: 93-48=45 Current State: 10:[90, 8, 45], Operations: ['93-48=45'] Exploring Operation: 90/45=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 90/45=2 Current State: 10:[8, 2], Operations: ['93-48=45', '90/45=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 1, 44, 32, 2 ]
27
[ "44-1=43", "32/2=16", "43-16=27" ]
Current State: 27:[1, 44, 32, 2], Operations: [] Exploring Operation: 44-1=43, Resulting Numbers: [32, 2, 43] Generated Node #2: [32, 2, 43] from Operation: 44-1=43 Current State: 27:[32, 2, 43], Operations: ['44-1=43'] Exploring Operation: 32/2=16, Resulting Numbers: [43, 16] Generated Node #3: [43, 16] from Operation: 32/2=16 Current State: 27:[43, 16], Operations: ['44-1=43', '32/2=16'] Exploring Operation: 43-16=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 96, 82, 98, 6 ]
94
[ "98-96=2", "6*2=12", "82+12=94" ]
Current State: 94:[96, 82, 98, 6], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [82, 6, 2] Generated Node #2: [82, 6, 2] from Operation: 98-96=2 Current State: 94:[82, 6, 2], Operations: ['98-96=2'] Exploring Operation: 6*2=12, Resulting Numbers: [82, 12] Generated Node #3: [82, 12] from Operation: 6*2=12 Current State: 94:[82, 12], Operations: ['98-96=2', '6*2=12'] Exploring Operation: 82+12=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 6, 24, 7, 6 ]
32
[ "6/6=1", "24+7=31", "1+31=32" ]
Current State: 32:[6, 24, 7, 6], Operations: [] Exploring Operation: 6/6=1, Resulting Numbers: [24, 7, 1] Generated Node #2: [24, 7, 1] from Operation: 6/6=1 Current State: 32:[24, 7, 1], Operations: ['6/6=1'] Exploring Operation: 24+7=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 24+7=31 Current State: 32:[1, 31], Operations: ['6/6=1', '24+7=31'] Exploring Operation: 1+31=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 56, 4, 2, 53 ]
25
[ "56/4=14", "2*14=28", "53-28=25" ]
Current State: 25:[56, 4, 2, 53], Operations: [] Exploring Operation: 56/4=14, Resulting Numbers: [2, 53, 14] Generated Node #2: [2, 53, 14] from Operation: 56/4=14 Current State: 25:[2, 53, 14], Operations: ['56/4=14'] Exploring Operation: 2*14=28, Resulting Numbers: [53, 28] Generated Node #3: [53, 28] from Operation: 2*14=28 Current State: 25:[53, 28], Operations: ['56/4=14', '2*14=28'] Exploring Operation: 53-28=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 71, 69, 7, 98 ]
42
[ "71-69=2", "98/2=49", "49-7=42" ]
Current State: 42:[71, 69, 7, 98], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [7, 98, 2] Generated Node #2: [7, 98, 2] from Operation: 71-69=2 Current State: 42:[7, 98, 2], Operations: ['71-69=2'] Exploring Operation: 98/2=49, Resulting Numbers: [7, 49] Generated Node #3: [7, 49] from Operation: 98/2=49 Current State: 42:[7, 49], Operations: ['71-69=2', '98/2=49'] Exploring Operation: 49-7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 61, 47, 66, 49 ]
10
[ "66-61=5", "49-47=2", "5*2=10" ]
Current State: 10:[61, 47, 66, 49], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [47, 49, 5] Generated Node #2: [47, 49, 5] from Operation: 66-61=5 Current State: 10:[47, 49, 5], Operations: ['66-61=5'] Exploring Operation: 49-47=2, Resulting Numbers: [5, 2] Generated Node #3: [5, 2] from Operation: 49-47=2 Current State: 10:[5, 2], Operations: ['66-61=5', '49-47=2'] Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 51, 75, 4, 53 ]
37
[ "75-53=22", "4*22=88", "88-51=37" ]
Current State: 37:[51, 75, 4, 53], Operations: [] Exploring Operation: 75-53=22, Resulting Numbers: [51, 4, 22] Generated Node #2: [51, 4, 22] from Operation: 75-53=22 Current State: 37:[51, 4, 22], Operations: ['75-53=22'] Exploring Operation: 4*22=88, Resulting Numbers: [51, 88] Generated Node #3: [51, 88] from Operation: 4*22=88 Current State: 37:[51, 88], Operations: ['75-53=22', '4*22=88'] Exploring Operation: 88-51=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 99, 91, 6, 6 ]
42
[ "99-91=8", "6*8=48", "48-6=42" ]
Current State: 42:[99, 91, 6, 6], Operations: [] Exploring Operation: 99-91=8, Resulting Numbers: [6, 6, 8] Generated Node #2: [6, 6, 8] from Operation: 99-91=8 Current State: 42:[6, 6, 8], Operations: ['99-91=8'] Exploring Operation: 6*8=48, Resulting Numbers: [48] 48,42 equal: Goal Reached Exploring Operation: 48-6=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 34, 49, 50, 3 ]
31
[ "34-3=31", "50-49=1", "31*1=31" ]
Current State: 31:[34, 49, 50, 3], Operations: [] Exploring Operation: 34-3=31, Resulting Numbers: [49, 50, 31] Generated Node #2: [49, 50, 31] from Operation: 34-3=31 Current State: 31:[49, 50, 31], Operations: ['34-3=31'] Exploring Operation: 50-49=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 50-49=1 Current State: 31:[31, 1], Operations: ['34-3=31', '50-49=1'] Exploring Operation: 31*1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 40, 28, 22, 7 ]
72
[ "40-22=18", "28/7=4", "18*4=72" ]
Current State: 72:[40, 28, 22, 7], Operations: [] Exploring Operation: 40-22=18, Resulting Numbers: [28, 7, 18] Generated Node #2: [28, 7, 18] from Operation: 40-22=18 Current State: 72:[28, 7, 18], Operations: ['40-22=18'] Exploring Operation: 28/7=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 28/7=4 Current State: 72:[18, 4], Operations: ['40-22=18', '28/7=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 3, 66, 42, 42 ]
23
[ "66/3=22", "42/42=1", "22+1=23" ]
Current State: 23:[3, 66, 42, 42], Operations: [] Exploring Operation: 66/3=22, Resulting Numbers: [42, 42, 22] Generated Node #2: [42, 42, 22] from Operation: 66/3=22 Current State: 23:[42, 42, 22], Operations: ['66/3=22'] Exploring Operation: 42/42=1, Resulting Numbers: [22, 1] Generated Node #3: [22, 1] from Operation: 42/42=1 Current State: 23:[22, 1], Operations: ['66/3=22', '42/42=1'] Exploring Operation: 22+1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 86, 12, 1, 41 ]
34
[ "86-12=74", "41-1=40", "74-40=34" ]
Current State: 34:[86, 12, 1, 41], Operations: [] Exploring Operation: 86-12=74, Resulting Numbers: [1, 41, 74] Generated Node #2: [1, 41, 74] from Operation: 86-12=74 Current State: 34:[1, 41, 74], Operations: ['86-12=74'] Exploring Operation: 41-1=40, Resulting Numbers: [74, 40] Generated Node #3: [74, 40] from Operation: 41-1=40 Current State: 34:[74, 40], Operations: ['86-12=74', '41-1=40'] Exploring Operation: 74-40=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 26, 60, 82, 87 ]
82
[ "26+60=86", "87-86=1", "82*1=82" ]
Current State: 82:[26, 60, 82, 87], Operations: [] Exploring Operation: 26+60=86, Resulting Numbers: [82, 87, 86] Generated Node #2: [82, 87, 86] from Operation: 26+60=86 Current State: 82:[82, 87, 86], Operations: ['26+60=86'] Exploring Operation: 87-86=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 87-86=1 Current State: 82:[82, 1], Operations: ['26+60=86', '87-86=1'] Exploring Operation: 82*1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 2, 24, 58, 8 ]
64
[ "2*24=48", "48/8=6", "58+6=64" ]
Current State: 64:[2, 24, 58, 8], Operations: [] Exploring Operation: 2*24=48, Resulting Numbers: [58, 8, 48] Generated Node #2: [58, 8, 48] from Operation: 2*24=48 Current State: 64:[58, 8, 48], Operations: ['2*24=48'] Exploring Operation: 48/8=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 48/8=6 Current State: 64:[58, 6], Operations: ['2*24=48', '48/8=6'] Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 68, 59, 12, 25 ]
22
[ "68-59=9", "25-12=13", "9+13=22" ]
Current State: 22:[68, 59, 12, 25], Operations: [] Exploring Operation: 68-59=9, Resulting Numbers: [12, 25, 9] Generated Node #2: [12, 25, 9] from Operation: 68-59=9 Current State: 22:[12, 25, 9], Operations: ['68-59=9'] Exploring Operation: 25-12=13, Resulting Numbers: [9, 13] Generated Node #3: [9, 13] from Operation: 25-12=13 Current State: 22:[9, 13], Operations: ['68-59=9', '25-12=13'] Exploring Operation: 9+13=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 63, 20, 87, 47 ]
65
[ "87-47=40", "40/20=2", "63+2=65" ]
Current State: 65:[63, 20, 87, 47], Operations: [] Exploring Operation: 87-47=40, Resulting Numbers: [63, 20, 40] Generated Node #2: [63, 20, 40] from Operation: 87-47=40 Current State: 65:[63, 20, 40], Operations: ['87-47=40'] Exploring Operation: 40/20=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 40/20=2 Current State: 65:[63, 2], Operations: ['87-47=40', '40/20=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 7, 28, 9, 83 ]
23
[ "28/7=4", "9+83=92", "92/4=23" ]
Current State: 23:[7, 28, 9, 83], Operations: [] Exploring Operation: 28/7=4, Resulting Numbers: [9, 83, 4] Generated Node #2: [9, 83, 4] from Operation: 28/7=4 Current State: 23:[9, 83, 4], Operations: ['28/7=4'] Exploring Operation: 9+83=92, Resulting Numbers: [4, 92] Generated Node #3: [4, 92] from Operation: 9+83=92 Current State: 23:[4, 92], Operations: ['28/7=4', '9+83=92'] Exploring Operation: 92/4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 32, 49, 7, 21 ]
78
[ "32+49=81", "21/7=3", "81-3=78" ]
Current State: 78:[32, 49, 7, 21], Operations: [] Exploring Operation: 32+49=81, Resulting Numbers: [7, 21, 81] Generated Node #2: [7, 21, 81] from Operation: 32+49=81 Current State: 78:[7, 21, 81], Operations: ['32+49=81'] Exploring Operation: 21/7=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 21/7=3 Current State: 78:[81, 3], Operations: ['32+49=81', '21/7=3'] Exploring Operation: 81-3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 57, 55, 8, 83 ]
37
[ "57+55=112", "83-8=75", "112-75=37" ]
Current State: 37:[57, 55, 8, 83], Operations: [] Exploring Operation: 57+55=112, Resulting Numbers: [8, 83, 112] Generated Node #2: [8, 83, 112] from Operation: 57+55=112 Current State: 37:[8, 83, 112], Operations: ['57+55=112'] Exploring Operation: 83-8=75, Resulting Numbers: [112, 75] Generated Node #3: [112, 75] from Operation: 83-8=75 Current State: 37:[112, 75], Operations: ['57+55=112', '83-8=75'] Exploring Operation: 112-75=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 86, 79, 88, 2 ]
79
[ "86+79=165", "88-2=86", "165-86=79" ]
Current State: 79:[86, 79, 88, 2], Operations: [] Exploring Operation: 86+79=165, Resulting Numbers: [88, 2, 165] Generated Node #2: [88, 2, 165] from Operation: 86+79=165 Current State: 79:[88, 2, 165], Operations: ['86+79=165'] Exploring Operation: 88-2=86, Resulting Numbers: [165, 86] Generated Node #3: [165, 86] from Operation: 88-2=86 Current State: 79:[165, 86], Operations: ['86+79=165', '88-2=86'] Exploring Operation: 165-86=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 35, 63, 64, 7 ]
42
[ "35+7=42", "64-63=1", "42*1=42" ]
Current State: 42:[35, 63, 64, 7], Operations: [] Exploring Operation: 35+7=42, Resulting Numbers: [63, 64, 42] Generated Node #2: [63, 64, 42] from Operation: 35+7=42 Current State: 42:[63, 64, 42], Operations: ['35+7=42'] Exploring Operation: 64-63=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 64-63=1 Current State: 42:[42, 1], Operations: ['35+7=42', '64-63=1'] Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 46, 50, 94, 14 ]
16
[ "46+50=96", "94-14=80", "96-80=16" ]
Current State: 16:[46, 50, 94, 14], Operations: [] Exploring Operation: 46+50=96, Resulting Numbers: [94, 14, 96] Generated Node #2: [94, 14, 96] from Operation: 46+50=96 Current State: 16:[94, 14, 96], Operations: ['46+50=96'] Exploring Operation: 94-14=80, Resulting Numbers: [96, 80] Generated Node #3: [96, 80] from Operation: 94-14=80 Current State: 16:[96, 80], Operations: ['46+50=96', '94-14=80'] Exploring Operation: 96-80=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 55, 71, 89, 34 ]
39
[ "71-55=16", "89-34=55", "55-16=39" ]
Current State: 39:[55, 71, 89, 34], Operations: [] Exploring Operation: 71-55=16, Resulting Numbers: [89, 34, 16] Generated Node #2: [89, 34, 16] from Operation: 71-55=16 Current State: 39:[89, 34, 16], Operations: ['71-55=16'] Exploring Operation: 89-34=55, Resulting Numbers: [16, 55] Generated Node #3: [16, 55] from Operation: 89-34=55 Current State: 39:[16, 55], Operations: ['71-55=16', '89-34=55'] Exploring Operation: 55-16=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 85, 56, 21, 60 ]
75
[ "56*60=3360", "3360/21=160", "160-85=75" ]
Current State: 75:[85, 56, 21, 60], Operations: [] Exploring Operation: 56*60=3360, Resulting Numbers: [85, 21, 3360] Generated Node #2: [85, 21, 3360] from Operation: 56*60=3360 Current State: 75:[85, 21, 3360], Operations: ['56*60=3360'] Exploring Operation: 3360/21=160, Resulting Numbers: [85, 160] Generated Node #3: [85, 160] from Operation: 3360/21=160 Current State: 75:[85, 160], Operations: ['56*60=3360', '3360/21=160'] Exploring Operation: 160-85=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 75, 47, 19, 60 ]
13
[ "75-47=28", "60-19=41", "41-28=13" ]
Current State: 13:[75, 47, 19, 60], Operations: [] Exploring Operation: 75-47=28, Resulting Numbers: [19, 60, 28] Generated Node #2: [19, 60, 28] from Operation: 75-47=28 Current State: 13:[19, 60, 28], Operations: ['75-47=28'] Exploring Operation: 60-19=41, Resulting Numbers: [28, 41] Generated Node #3: [28, 41] from Operation: 60-19=41 Current State: 13:[28, 41], Operations: ['75-47=28', '60-19=41'] Exploring Operation: 41-28=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 63, 39, 44, 42 ]
21
[ "63+42=105", "44-39=5", "105/5=21" ]
Current State: 21:[63, 39, 44, 42], Operations: [] Exploring Operation: 63+42=105, Resulting Numbers: [39, 44, 105] Generated Node #2: [39, 44, 105] from Operation: 63+42=105 Current State: 21:[39, 44, 105], Operations: ['63+42=105'] Exploring Operation: 44-39=5, Resulting Numbers: [105, 5] Generated Node #3: [105, 5] from Operation: 44-39=5 Current State: 21:[105, 5], Operations: ['63+42=105', '44-39=5'] Exploring Operation: 105/5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 60, 70, 68, 72 ]
14
[ "70-60=10", "68+72=140", "140/10=14" ]
Current State: 14:[60, 70, 68, 72], Operations: [] Exploring Operation: 70-60=10, Resulting Numbers: [68, 72, 10] Generated Node #2: [68, 72, 10] from Operation: 70-60=10 Current State: 14:[68, 72, 10], Operations: ['70-60=10'] Exploring Operation: 68+72=140, Resulting Numbers: [10, 140] Generated Node #3: [10, 140] from Operation: 68+72=140 Current State: 14:[10, 140], Operations: ['70-60=10', '68+72=140'] Exploring Operation: 140/10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 95, 90, 84, 60 ]
85
[ "90-84=6", "60/6=10", "95-10=85" ]
Current State: 85:[95, 90, 84, 60], Operations: [] Exploring Operation: 90-84=6, Resulting Numbers: [95, 60, 6] Generated Node #2: [95, 60, 6] from Operation: 90-84=6 Current State: 85:[95, 60, 6], Operations: ['90-84=6'] Exploring Operation: 60/6=10, Resulting Numbers: [95, 10] Generated Node #3: [95, 10] from Operation: 60/6=10 Current State: 85:[95, 10], Operations: ['90-84=6', '60/6=10'] Exploring Operation: 95-10=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 84, 56, 91, 28 ]
77
[ "84+56=140", "91-28=63", "140-63=77" ]
Current State: 77:[84, 56, 91, 28], Operations: [] Exploring Operation: 84+56=140, Resulting Numbers: [91, 28, 140] Generated Node #2: [91, 28, 140] from Operation: 84+56=140 Current State: 77:[91, 28, 140], Operations: ['84+56=140'] Exploring Operation: 91-28=63, Resulting Numbers: [140, 63] Generated Node #3: [140, 63] from Operation: 91-28=63 Current State: 77:[140, 63], Operations: ['84+56=140', '91-28=63'] Exploring Operation: 140-63=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 38, 71, 99, 52 ]
49
[ "71-38=33", "99/33=3", "52-3=49" ]
Current State: 49:[38, 71, 99, 52], Operations: [] Exploring Operation: 71-38=33, Resulting Numbers: [99, 52, 33] Generated Node #2: [99, 52, 33] from Operation: 71-38=33 Current State: 49:[99, 52, 33], Operations: ['71-38=33'] Exploring Operation: 99/33=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 99/33=3 Current State: 49:[52, 3], Operations: ['71-38=33', '99/33=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 44, 10, 8, 24 ]
56
[ "10-8=2", "24/2=12", "44+12=56" ]
Current State: 56:[44, 10, 8, 24], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [44, 24, 2] Generated Node #2: [44, 24, 2] from Operation: 10-8=2 Current State: 56:[44, 24, 2], Operations: ['10-8=2'] Exploring Operation: 24/2=12, Resulting Numbers: [44, 12] Generated Node #3: [44, 12] from Operation: 24/2=12 Current State: 56:[44, 12], Operations: ['10-8=2', '24/2=12'] Exploring Operation: 44+12=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 34, 55, 79, 1 ]
57
[ "55-34=21", "79-1=78", "78-21=57" ]
Current State: 57:[34, 55, 79, 1], Operations: [] Exploring Operation: 55-34=21, Resulting Numbers: [79, 1, 21] Generated Node #2: [79, 1, 21] from Operation: 55-34=21 Current State: 57:[79, 1, 21], Operations: ['55-34=21'] Exploring Operation: 79-1=78, Resulting Numbers: [21, 78] Generated Node #3: [21, 78] from Operation: 79-1=78 Current State: 57:[21, 78], Operations: ['55-34=21', '79-1=78'] Exploring Operation: 78-21=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4