nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 9, 26, 53, 57 ]
95
[ "57-53=4", "26*4=104", "104-9=95" ]
Current State: 95:[9, 26, 53, 57], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [9, 26, 4] Generated Node #2: [9, 26, 4] from Operation: 57-53=4 Current State: 95:[9, 26, 4], Operations: ['57-53=4'] Exploring Operation: 26*4=104, Resulting Numbers: [9, 104] Generated Node #3: [9, 104] from Operation: 26*4=104 Current State: 95:[9, 104], Operations: ['57-53=4', '26*4=104'] Exploring Operation: 104-9=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 65, 88, 61, 92 ]
45
[ "65-61=4", "88+92=180", "180/4=45" ]
Current State: 45:[65, 88, 61, 92], Operations: [] Exploring Operation: 65-61=4, Resulting Numbers: [88, 92, 4] Generated Node #2: [88, 92, 4] from Operation: 65-61=4 Current State: 45:[88, 92, 4], Operations: ['65-61=4'] Exploring Operation: 88+92=180, Resulting Numbers: [4, 180] Generated Node #3: [4, 180] from Operation: 88+92=180 Current State: 45:[4, 180], Operations: ['65-61=4', '88+92=180'] Exploring Operation: 180/4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 83, 12, 24, 49 ]
66
[ "83+49=132", "24/12=2", "132/2=66" ]
Current State: 66:[83, 12, 24, 49], Operations: [] Exploring Operation: 83+49=132, Resulting Numbers: [12, 24, 132] Generated Node #2: [12, 24, 132] from Operation: 83+49=132 Current State: 66:[12, 24, 132], Operations: ['83+49=132'] Exploring Operation: 24/12=2, Resulting Numbers: [132, 2] Generated Node #3: [132, 2] from Operation: 24/12=2 Current State: 66:[132, 2], Operations: ['83+49=132', '24/12=2'] Exploring Operation: 132/2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 22, 85, 25, 5 ]
20
[ "25-22=3", "85/5=17", "3+17=20" ]
Current State: 20:[22, 85, 25, 5], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [85, 5, 3] Generated Node #2: [85, 5, 3] from Operation: 25-22=3 Current State: 20:[85, 5, 3], Operations: ['25-22=3'] Exploring Operation: 85/5=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 85/5=17 Current State: 20:[3, 17], Operations: ['25-22=3', '85/5=17'] Exploring Operation: 3+17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 6, 68, 7, 15 ]
70
[ "68-6=62", "15-7=8", "62+8=70" ]
Current State: 70:[6, 68, 7, 15], Operations: [] Exploring Operation: 68-6=62, Resulting Numbers: [7, 15, 62] Generated Node #2: [7, 15, 62] from Operation: 68-6=62 Current State: 70:[7, 15, 62], Operations: ['68-6=62'] Exploring Operation: 15-7=8, Resulting Numbers: [62, 8] Generated Node #3: [62, 8] from Operation: 15-7=8 Current State: 70:[62, 8], Operations: ['68-6=62', '15-7=8'] Exploring Operation: 62+8=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 35, 7, 7, 66 ]
72
[ "35+7=42", "42/7=6", "66+6=72" ]
Current State: 72:[35, 7, 7, 66], Operations: [] Exploring Operation: 35+7=42, Resulting Numbers: [66, 42] Generated Node #2: [66, 42] from Operation: 35+7=42 Current State: 72:[66, 42], Operations: ['35+7=42'] Exploring Operation: 42/7=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 42/7=6 Current State: 72:[66, 6], Operations: ['35+7=42', '42/7=6'] Exploring Operation: 66+6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 3, 93, 67, 54 ]
77
[ "93-3=90", "67-54=13", "90-13=77" ]
Current State: 77:[3, 93, 67, 54], Operations: [] Exploring Operation: 93-3=90, Resulting Numbers: [67, 54, 90] Generated Node #2: [67, 54, 90] from Operation: 93-3=90 Current State: 77:[67, 54, 90], Operations: ['93-3=90'] Exploring Operation: 67-54=13, Resulting Numbers: [90, 13] Generated Node #3: [90, 13] from Operation: 67-54=13 Current State: 77:[90, 13], Operations: ['93-3=90', '67-54=13'] Exploring Operation: 90-13=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 8, 77, 32, 67 ]
36
[ "32/8=4", "77+67=144", "144/4=36" ]
Current State: 36:[8, 77, 32, 67], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [77, 67, 4] Generated Node #2: [77, 67, 4] from Operation: 32/8=4 Current State: 36:[77, 67, 4], Operations: ['32/8=4'] Exploring Operation: 77+67=144, Resulting Numbers: [4, 144] Generated Node #3: [4, 144] from Operation: 77+67=144 Current State: 36:[4, 144], Operations: ['32/8=4', '77+67=144'] Exploring Operation: 144/4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 15, 36, 34, 40 ]
90
[ "15*36=540", "40-34=6", "540/6=90" ]
Current State: 90:[15, 36, 34, 40], Operations: [] Exploring Operation: 15*36=540, Resulting Numbers: [34, 40, 540] Generated Node #2: [34, 40, 540] from Operation: 15*36=540 Current State: 90:[34, 40, 540], Operations: ['15*36=540'] Exploring Operation: 40-34=6, Resulting Numbers: [540, 6] Generated Node #3: [540, 6] from Operation: 40-34=6 Current State: 90:[540, 6], Operations: ['15*36=540', '40-34=6'] Exploring Operation: 540/6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 98, 62, 88, 10 ]
83
[ "62+88=150", "150/10=15", "98-15=83" ]
Current State: 83:[98, 62, 88, 10], Operations: [] Exploring Operation: 62+88=150, Resulting Numbers: [98, 10, 150] Generated Node #2: [98, 10, 150] from Operation: 62+88=150 Current State: 83:[98, 10, 150], Operations: ['62+88=150'] Exploring Operation: 150/10=15, Resulting Numbers: [98, 15] Generated Node #3: [98, 15] from Operation: 150/10=15 Current State: 83:[98, 15], Operations: ['62+88=150', '150/10=15'] Exploring Operation: 98-15=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 48, 90, 23, 3 ]
37
[ "90-48=42", "42/3=14", "23+14=37" ]
Current State: 37:[48, 90, 23, 3], Operations: [] Exploring Operation: 90-48=42, Resulting Numbers: [23, 3, 42] Generated Node #2: [23, 3, 42] from Operation: 90-48=42 Current State: 37:[23, 3, 42], Operations: ['90-48=42'] Exploring Operation: 42/3=14, Resulting Numbers: [23, 14] Generated Node #3: [23, 14] from Operation: 42/3=14 Current State: 37:[23, 14], Operations: ['90-48=42', '42/3=14'] Exploring Operation: 23+14=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 87, 70, 45, 7 ]
52
[ "87-45=42", "70/7=10", "42+10=52" ]
Current State: 52:[87, 70, 45, 7], Operations: [] Exploring Operation: 87-45=42, Resulting Numbers: [70, 7, 42] Generated Node #2: [70, 7, 42] from Operation: 87-45=42 Current State: 52:[70, 7, 42], Operations: ['87-45=42'] Exploring Operation: 70/7=10, Resulting Numbers: [42, 10] Generated Node #3: [42, 10] from Operation: 70/7=10 Current State: 52:[42, 10], Operations: ['87-45=42', '70/7=10'] Exploring Operation: 42+10=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 4, 76, 28, 3 ]
39
[ "4*28=112", "76-3=73", "112-73=39" ]
Current State: 39:[4, 76, 28, 3], Operations: [] Exploring Operation: 4*28=112, Resulting Numbers: [76, 3, 112] Generated Node #2: [76, 3, 112] from Operation: 4*28=112 Current State: 39:[76, 3, 112], Operations: ['4*28=112'] Exploring Operation: 76-3=73, Resulting Numbers: [112, 73] Generated Node #3: [112, 73] from Operation: 76-3=73 Current State: 39:[112, 73], Operations: ['4*28=112', '76-3=73'] Exploring Operation: 112-73=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 27, 65, 15, 22 ]
55
[ "27+65=92", "15+22=37", "92-37=55" ]
Current State: 55:[27, 65, 15, 22], Operations: [] Exploring Operation: 27+65=92, Resulting Numbers: [15, 22, 92] Generated Node #2: [15, 22, 92] from Operation: 27+65=92 Current State: 55:[15, 22, 92], Operations: ['27+65=92'] Exploring Operation: 15+22=37, Resulting Numbers: [92, 37] Generated Node #3: [92, 37] from Operation: 15+22=37 Current State: 55:[92, 37], Operations: ['27+65=92', '15+22=37'] Exploring Operation: 92-37=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 19, 70, 15, 48 ]
18
[ "70-19=51", "48-15=33", "51-33=18" ]
Current State: 18:[19, 70, 15, 48], Operations: [] Exploring Operation: 70-19=51, Resulting Numbers: [15, 48, 51] Generated Node #2: [15, 48, 51] from Operation: 70-19=51 Current State: 18:[15, 48, 51], Operations: ['70-19=51'] Exploring Operation: 48-15=33, Resulting Numbers: [51, 33] Generated Node #3: [51, 33] from Operation: 48-15=33 Current State: 18:[51, 33], Operations: ['70-19=51', '48-15=33'] Exploring Operation: 51-33=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 95, 38, 10, 25 ]
19
[ "38*10=380", "95+380=475", "475/25=19" ]
Current State: 19:[95, 38, 10, 25], Operations: [] Exploring Operation: 38*10=380, Resulting Numbers: [95, 25, 380] Generated Node #2: [95, 25, 380] from Operation: 38*10=380 Current State: 19:[95, 25, 380], Operations: ['38*10=380'] Exploring Operation: 95+380=475, Resulting Numbers: [25, 475] Generated Node #3: [25, 475] from Operation: 95+380=475 Current State: 19:[25, 475], Operations: ['38*10=380', '95+380=475'] Exploring Operation: 475/25=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 19, 18, 48, 2 ]
24
[ "19-18=1", "48/2=24", "1*24=24" ]
Current State: 24:[19, 18, 48, 2], Operations: [] Exploring Operation: 19-18=1, Resulting Numbers: [48, 2, 1] Generated Node #2: [48, 2, 1] from Operation: 19-18=1 Current State: 24:[48, 2, 1], Operations: ['19-18=1'] Exploring Operation: 48/2=24, Resulting Numbers: [1, 24] Generated Node #3: [1, 24] from Operation: 48/2=24 Current State: 24:[1, 24], Operations: ['19-18=1', '48/2=24'] Exploring Operation: 1*24=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 77, 15, 71, 76 ]
97
[ "77+15=92", "76-71=5", "92+5=97" ]
Current State: 97:[77, 15, 71, 76], Operations: [] Exploring Operation: 77+15=92, Resulting Numbers: [71, 76, 92] Generated Node #2: [71, 76, 92] from Operation: 77+15=92 Current State: 97:[71, 76, 92], Operations: ['77+15=92'] Exploring Operation: 76-71=5, Resulting Numbers: [92, 5] Generated Node #3: [92, 5] from Operation: 76-71=5 Current State: 97:[92, 5], Operations: ['77+15=92', '76-71=5'] Exploring Operation: 92+5=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 64, 29, 2, 37 ]
28
[ "64+29=93", "93-37=56", "56/2=28" ]
Current State: 28:[64, 29, 2, 37], Operations: [] Exploring Operation: 64+29=93, Resulting Numbers: [2, 37, 93] Generated Node #2: [2, 37, 93] from Operation: 64+29=93 Current State: 28:[2, 37, 93], Operations: ['64+29=93'] Exploring Operation: 93-37=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 93-37=56 Current State: 28:[2, 56], Operations: ['64+29=93', '93-37=56'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 38, 60, 2, 71 ]
98
[ "60-38=22", "71-22=49", "2*49=98" ]
Current State: 98:[38, 60, 2, 71], Operations: [] Exploring Operation: 60-38=22, Resulting Numbers: [2, 71, 22] Generated Node #2: [2, 71, 22] from Operation: 60-38=22 Current State: 98:[2, 71, 22], Operations: ['60-38=22'] Exploring Operation: 71-22=49, Resulting Numbers: [2, 49] Generated Node #3: [2, 49] from Operation: 71-22=49 Current State: 98:[2, 49], Operations: ['60-38=22', '71-22=49'] Exploring Operation: 2*49=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 14, 90, 26, 37 ]
65
[ "90-14=76", "37-26=11", "76-11=65" ]
Current State: 65:[14, 90, 26, 37], Operations: [] Exploring Operation: 90-14=76, Resulting Numbers: [26, 37, 76] Generated Node #2: [26, 37, 76] from Operation: 90-14=76 Current State: 65:[26, 37, 76], Operations: ['90-14=76'] Exploring Operation: 37-26=11, Resulting Numbers: [76, 11] Generated Node #3: [76, 11] from Operation: 37-26=11 Current State: 65:[76, 11], Operations: ['90-14=76', '37-26=11'] Exploring Operation: 76-11=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 37, 23, 69, 32 ]
97
[ "37+23=60", "69-32=37", "60+37=97" ]
Current State: 97:[37, 23, 69, 32], Operations: [] Exploring Operation: 37+23=60, Resulting Numbers: [69, 32, 60] Generated Node #2: [69, 32, 60] from Operation: 37+23=60 Current State: 97:[69, 32, 60], Operations: ['37+23=60'] Exploring Operation: 69-32=37, Resulting Numbers: [60, 37] Generated Node #3: [60, 37] from Operation: 69-32=37 Current State: 97:[60, 37], Operations: ['37+23=60', '69-32=37'] Exploring Operation: 60+37=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 40, 50, 35, 15 ]
48
[ "35-15=20", "40/20=2", "50-2=48" ]
Current State: 48:[40, 50, 35, 15], Operations: [] Exploring Operation: 35-15=20, Resulting Numbers: [40, 50, 20] Generated Node #2: [40, 50, 20] from Operation: 35-15=20 Current State: 48:[40, 50, 20], Operations: ['35-15=20'] Exploring Operation: 40/20=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 40/20=2 Current State: 48:[50, 2], Operations: ['35-15=20', '40/20=2'] Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 78, 4, 54 ]
36
[ "3*4=12", "78-54=24", "12+24=36" ]
Current State: 36:[3, 78, 4, 54], Operations: [] Exploring Operation: 3*4=12, Resulting Numbers: [78, 54, 12] Generated Node #2: [78, 54, 12] from Operation: 3*4=12 Current State: 36:[78, 54, 12], Operations: ['3*4=12'] Exploring Operation: 78-54=24, Resulting Numbers: [12, 24] Generated Node #3: [12, 24] from Operation: 78-54=24 Current State: 36:[12, 24], Operations: ['3*4=12', '78-54=24'] Exploring Operation: 12+24=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 4, 2, 42, 88 ]
27
[ "88-42=46", "46/2=23", "4+23=27" ]
Current State: 27:[4, 2, 42, 88], Operations: [] Exploring Operation: 88-42=46, Resulting Numbers: [4, 2, 46] Generated Node #2: [4, 2, 46] from Operation: 88-42=46 Current State: 27:[4, 2, 46], Operations: ['88-42=46'] Exploring Operation: 46/2=23, Resulting Numbers: [4, 23] Generated Node #3: [4, 23] from Operation: 46/2=23 Current State: 27:[4, 23], Operations: ['88-42=46', '46/2=23'] Exploring Operation: 4+23=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 61, 69, 7, 29 ]
73
[ "61+69=130", "7*29=203", "203-130=73" ]
Current State: 73:[61, 69, 7, 29], Operations: [] Exploring Operation: 61+69=130, Resulting Numbers: [7, 29, 130] Generated Node #2: [7, 29, 130] from Operation: 61+69=130 Current State: 73:[7, 29, 130], Operations: ['61+69=130'] Exploring Operation: 7*29=203, Resulting Numbers: [130, 203] Generated Node #3: [130, 203] from Operation: 7*29=203 Current State: 73:[130, 203], Operations: ['61+69=130', '7*29=203'] Exploring Operation: 203-130=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 63, 21, 5, 81 ]
34
[ "63-21=42", "81-5=76", "76-42=34" ]
Current State: 34:[63, 21, 5, 81], Operations: [] Exploring Operation: 63-21=42, Resulting Numbers: [5, 81, 42] Generated Node #2: [5, 81, 42] from Operation: 63-21=42 Current State: 34:[5, 81, 42], Operations: ['63-21=42'] Exploring Operation: 81-5=76, Resulting Numbers: [42, 76] Generated Node #3: [42, 76] from Operation: 81-5=76 Current State: 34:[42, 76], Operations: ['63-21=42', '81-5=76'] Exploring Operation: 76-42=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 4, 93, 82, 26 ]
66
[ "82+26=108", "108/4=27", "93-27=66" ]
Current State: 66:[4, 93, 82, 26], Operations: [] Exploring Operation: 82+26=108, Resulting Numbers: [4, 93, 108] Generated Node #2: [4, 93, 108] from Operation: 82+26=108 Current State: 66:[4, 93, 108], Operations: ['82+26=108'] Exploring Operation: 108/4=27, Resulting Numbers: [93, 27] Generated Node #3: [93, 27] from Operation: 108/4=27 Current State: 66:[93, 27], Operations: ['82+26=108', '108/4=27'] Exploring Operation: 93-27=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 35, 12, 27, 64 ]
14
[ "35-12=23", "64-27=37", "37-23=14" ]
Current State: 14:[35, 12, 27, 64], Operations: [] Exploring Operation: 35-12=23, Resulting Numbers: [27, 64, 23] Generated Node #2: [27, 64, 23] from Operation: 35-12=23 Current State: 14:[27, 64, 23], Operations: ['35-12=23'] Exploring Operation: 64-27=37, Resulting Numbers: [23, 37] Generated Node #3: [23, 37] from Operation: 64-27=37 Current State: 14:[23, 37], Operations: ['35-12=23', '64-27=37'] Exploring Operation: 37-23=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 69, 22, 78, 66 ]
55
[ "69*22=1518", "1518/66=23", "78-23=55" ]
Current State: 55:[69, 22, 78, 66], Operations: [] Exploring Operation: 69*22=1518, Resulting Numbers: [78, 66, 1518] Generated Node #2: [78, 66, 1518] from Operation: 69*22=1518 Current State: 55:[78, 66, 1518], Operations: ['69*22=1518'] Exploring Operation: 1518/66=23, Resulting Numbers: [78, 23] Generated Node #3: [78, 23] from Operation: 1518/66=23 Current State: 55:[78, 23], Operations: ['69*22=1518', '1518/66=23'] Exploring Operation: 78-23=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 53, 64, 57, 21 ]
67
[ "64-53=11", "57+21=78", "78-11=67" ]
Current State: 67:[53, 64, 57, 21], Operations: [] Exploring Operation: 64-53=11, Resulting Numbers: [57, 21, 11] Generated Node #2: [57, 21, 11] from Operation: 64-53=11 Current State: 67:[57, 21, 11], Operations: ['64-53=11'] Exploring Operation: 57+21=78, Resulting Numbers: [11, 78] Generated Node #3: [11, 78] from Operation: 57+21=78 Current State: 67:[11, 78], Operations: ['64-53=11', '57+21=78'] Exploring Operation: 78-11=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 17, 25, 61, 60 ]
41
[ "17+25=42", "61-60=1", "42-1=41" ]
Current State: 41:[17, 25, 61, 60], Operations: [] Exploring Operation: 17+25=42, Resulting Numbers: [61, 60, 42] Generated Node #2: [61, 60, 42] from Operation: 17+25=42 Current State: 41:[61, 60, 42], Operations: ['17+25=42'] Exploring Operation: 61-60=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 61-60=1 Current State: 41:[42, 1], Operations: ['17+25=42', '61-60=1'] Exploring Operation: 42-1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 5, 3, 48, 64 ]
32
[ "5-3=2", "64-48=16", "2*16=32" ]
Current State: 32:[5, 3, 48, 64], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [48, 64, 2] Generated Node #2: [48, 64, 2] from Operation: 5-3=2 Current State: 32:[48, 64, 2], Operations: ['5-3=2'] Exploring Operation: 64-48=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 64-48=16 Current State: 32:[2, 16], Operations: ['5-3=2', '64-48=16'] Exploring Operation: 2*16=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 36, 48, 3, 22 ]
72
[ "36-3=33", "48*33=1584", "1584/22=72" ]
Current State: 72:[36, 48, 3, 22], Operations: [] Exploring Operation: 36-3=33, Resulting Numbers: [48, 22, 33] Generated Node #2: [48, 22, 33] from Operation: 36-3=33 Current State: 72:[48, 22, 33], Operations: ['36-3=33'] Exploring Operation: 48*33=1584, Resulting Numbers: [22, 1584] Generated Node #3: [22, 1584] from Operation: 48*33=1584 Current State: 72:[22, 1584], Operations: ['36-3=33', '48*33=1584'] Exploring Operation: 1584/22=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 35, 47, 39, 21 ]
37
[ "39-35=4", "21*4=84", "84-47=37" ]
Current State: 37:[35, 47, 39, 21], Operations: [] Exploring Operation: 39-35=4, Resulting Numbers: [47, 21, 4] Generated Node #2: [47, 21, 4] from Operation: 39-35=4 Current State: 37:[47, 21, 4], Operations: ['39-35=4'] Exploring Operation: 21*4=84, Resulting Numbers: [47, 84] Generated Node #3: [47, 84] from Operation: 21*4=84 Current State: 37:[47, 84], Operations: ['39-35=4', '21*4=84'] Exploring Operation: 84-47=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 35, 24, 33, 95 ]
73
[ "35-24=11", "95-33=62", "11+62=73" ]
Current State: 73:[35, 24, 33, 95], Operations: [] Exploring Operation: 35-24=11, Resulting Numbers: [33, 95, 11] Generated Node #2: [33, 95, 11] from Operation: 35-24=11 Current State: 73:[33, 95, 11], Operations: ['35-24=11'] Exploring Operation: 95-33=62, Resulting Numbers: [11, 62] Generated Node #3: [11, 62] from Operation: 95-33=62 Current State: 73:[11, 62], Operations: ['35-24=11', '95-33=62'] Exploring Operation: 11+62=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 59, 90, 60 ]
95
[ "59-4=55", "90+60=150", "150-55=95" ]
Current State: 95:[4, 59, 90, 60], Operations: [] Exploring Operation: 59-4=55, Resulting Numbers: [90, 60, 55] Generated Node #2: [90, 60, 55] from Operation: 59-4=55 Current State: 95:[90, 60, 55], Operations: ['59-4=55'] Exploring Operation: 90+60=150, Resulting Numbers: [55, 150] Generated Node #3: [55, 150] from Operation: 90+60=150 Current State: 95:[55, 150], Operations: ['59-4=55', '90+60=150'] Exploring Operation: 150-55=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 75, 3, 98, 69 ]
89
[ "75+3=78", "98+69=167", "167-78=89" ]
Current State: 89:[75, 3, 98, 69], Operations: [] Exploring Operation: 75+3=78, Resulting Numbers: [98, 69, 78] Generated Node #2: [98, 69, 78] from Operation: 75+3=78 Current State: 89:[98, 69, 78], Operations: ['75+3=78'] Exploring Operation: 98+69=167, Resulting Numbers: [78, 167] Generated Node #3: [78, 167] from Operation: 98+69=167 Current State: 89:[78, 167], Operations: ['75+3=78', '98+69=167'] Exploring Operation: 167-78=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 43, 1, 66, 40 ]
64
[ "43-1=42", "66+40=106", "106-42=64" ]
Current State: 64:[43, 1, 66, 40], Operations: [] Exploring Operation: 43-1=42, Resulting Numbers: [66, 40, 42] Generated Node #2: [66, 40, 42] from Operation: 43-1=42 Current State: 64:[66, 40, 42], Operations: ['43-1=42'] Exploring Operation: 66+40=106, Resulting Numbers: [42, 106] Generated Node #3: [42, 106] from Operation: 66+40=106 Current State: 64:[42, 106], Operations: ['43-1=42', '66+40=106'] Exploring Operation: 106-42=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 38, 20, 24, 65 ]
71
[ "38-20=18", "24+65=89", "89-18=71" ]
Current State: 71:[38, 20, 24, 65], Operations: [] Exploring Operation: 38-20=18, Resulting Numbers: [24, 65, 18] Generated Node #2: [24, 65, 18] from Operation: 38-20=18 Current State: 71:[24, 65, 18], Operations: ['38-20=18'] Exploring Operation: 24+65=89, Resulting Numbers: [18, 89] Generated Node #3: [18, 89] from Operation: 24+65=89 Current State: 71:[18, 89], Operations: ['38-20=18', '24+65=89'] Exploring Operation: 89-18=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 18, 2, 7, 92 ]
16
[ "18+2=20", "92+20=112", "112/7=16" ]
Current State: 16:[18, 2, 7, 92], Operations: [] Exploring Operation: 18+2=20, Resulting Numbers: [7, 92, 20] Generated Node #2: [7, 92, 20] from Operation: 18+2=20 Current State: 16:[7, 92, 20], Operations: ['18+2=20'] Exploring Operation: 92+20=112, Resulting Numbers: [7, 112] Generated Node #3: [7, 112] from Operation: 92+20=112 Current State: 16:[7, 112], Operations: ['18+2=20', '92+20=112'] Exploring Operation: 112/7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 89, 86, 10, 51 ]
72
[ "89+51=140", "140/10=14", "86-14=72" ]
Current State: 72:[89, 86, 10, 51], Operations: [] Exploring Operation: 89+51=140, Resulting Numbers: [86, 10, 140] Generated Node #2: [86, 10, 140] from Operation: 89+51=140 Current State: 72:[86, 10, 140], Operations: ['89+51=140'] Exploring Operation: 140/10=14, Resulting Numbers: [86, 14] Generated Node #3: [86, 14] from Operation: 140/10=14 Current State: 72:[86, 14], Operations: ['89+51=140', '140/10=14'] Exploring Operation: 86-14=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 69, 20, 57, 3 ]
54
[ "69/3=23", "20+57=77", "77-23=54" ]
Current State: 54:[69, 20, 57, 3], Operations: [] Exploring Operation: 69/3=23, Resulting Numbers: [20, 57, 23] Generated Node #2: [20, 57, 23] from Operation: 69/3=23 Current State: 54:[20, 57, 23], Operations: ['69/3=23'] Exploring Operation: 20+57=77, Resulting Numbers: [23, 77] Generated Node #3: [23, 77] from Operation: 20+57=77 Current State: 54:[23, 77], Operations: ['69/3=23', '20+57=77'] Exploring Operation: 77-23=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 73, 84, 80, 63 ]
75
[ "80-73=7", "84/7=12", "63+12=75" ]
Current State: 75:[73, 84, 80, 63], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [84, 63, 7] Generated Node #2: [84, 63, 7] from Operation: 80-73=7 Current State: 75:[84, 63, 7], Operations: ['80-73=7'] Exploring Operation: 84/7=12, Resulting Numbers: [63, 12] Generated Node #3: [63, 12] from Operation: 84/7=12 Current State: 75:[63, 12], Operations: ['80-73=7', '84/7=12'] Exploring Operation: 63+12=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 12, 60, 20, 6 ]
10
[ "60/12=5", "20/5=4", "6+4=10" ]
Current State: 10:[12, 60, 20, 6], Operations: [] Exploring Operation: 60/12=5, Resulting Numbers: [20, 6, 5] Generated Node #2: [20, 6, 5] from Operation: 60/12=5 Current State: 10:[20, 6, 5], Operations: ['60/12=5'] Exploring Operation: 20/5=4, Resulting Numbers: [6, 4] Generated Node #3: [6, 4] from Operation: 20/5=4 Current State: 10:[6, 4], Operations: ['60/12=5', '20/5=4'] Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 87, 48, 84, 57 ]
66
[ "87-48=39", "84-57=27", "39+27=66" ]
Current State: 66:[87, 48, 84, 57], Operations: [] Exploring Operation: 87-48=39, Resulting Numbers: [84, 57, 39] Generated Node #2: [84, 57, 39] from Operation: 87-48=39 Current State: 66:[84, 57, 39], Operations: ['87-48=39'] Exploring Operation: 84-57=27, Resulting Numbers: [39, 27] Generated Node #3: [39, 27] from Operation: 84-57=27 Current State: 66:[39, 27], Operations: ['87-48=39', '84-57=27'] Exploring Operation: 39+27=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 29, 21, 95, 88 ]
28
[ "95-29=66", "21*88=1848", "1848/66=28" ]
Current State: 28:[29, 21, 95, 88], Operations: [] Exploring Operation: 95-29=66, Resulting Numbers: [21, 88, 66] Generated Node #2: [21, 88, 66] from Operation: 95-29=66 Current State: 28:[21, 88, 66], Operations: ['95-29=66'] Exploring Operation: 21*88=1848, Resulting Numbers: [66, 1848] Generated Node #3: [66, 1848] from Operation: 21*88=1848 Current State: 28:[66, 1848], Operations: ['95-29=66', '21*88=1848'] Exploring Operation: 1848/66=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 62, 10, 40, 43 ]
31
[ "62-10=52", "40+43=83", "83-52=31" ]
Current State: 31:[62, 10, 40, 43], Operations: [] Exploring Operation: 62-10=52, Resulting Numbers: [40, 43, 52] Generated Node #2: [40, 43, 52] from Operation: 62-10=52 Current State: 31:[40, 43, 52], Operations: ['62-10=52'] Exploring Operation: 40+43=83, Resulting Numbers: [52, 83] Generated Node #3: [52, 83] from Operation: 40+43=83 Current State: 31:[52, 83], Operations: ['62-10=52', '40+43=83'] Exploring Operation: 83-52=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 81, 51, 36, 72 ]
15
[ "81-51=30", "72/36=2", "30/2=15" ]
Current State: 15:[81, 51, 36, 72], Operations: [] Exploring Operation: 81-51=30, Resulting Numbers: [36, 72, 30] Generated Node #2: [36, 72, 30] from Operation: 81-51=30 Current State: 15:[36, 72, 30], Operations: ['81-51=30'] Exploring Operation: 72/36=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 72/36=2 Current State: 15:[30, 2], Operations: ['81-51=30', '72/36=2'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 60, 81, 4, 73 ]
98
[ "81-60=21", "4+73=77", "21+77=98" ]
Current State: 98:[60, 81, 4, 73], Operations: [] Exploring Operation: 81-60=21, Resulting Numbers: [4, 73, 21] Generated Node #2: [4, 73, 21] from Operation: 81-60=21 Current State: 98:[4, 73, 21], Operations: ['81-60=21'] Exploring Operation: 4+73=77, Resulting Numbers: [21, 77] Generated Node #3: [21, 77] from Operation: 4+73=77 Current State: 98:[21, 77], Operations: ['81-60=21', '4+73=77'] Exploring Operation: 21+77=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 8, 15, 7, 91 ]
91
[ "15-8=7", "7+91=98", "98-7=91" ]
Current State: 91:[8, 15, 7, 91], Operations: [] Exploring Operation: 15-8=7, Resulting Numbers: [7, 91, 7] Generated Node #2: [7, 91, 7] from Operation: 15-8=7 Current State: 91:[7, 91, 7], Operations: ['15-8=7'] Exploring Operation: 7+91=98, Resulting Numbers: [98] 98,91 equal: Goal Reached Exploring Operation: 98-7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 94, 21, 17, 31 ]
30
[ "21-17=4", "31*4=124", "124-94=30" ]
Current State: 30:[94, 21, 17, 31], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [94, 31, 4] Generated Node #2: [94, 31, 4] from Operation: 21-17=4 Current State: 30:[94, 31, 4], Operations: ['21-17=4'] Exploring Operation: 31*4=124, Resulting Numbers: [94, 124] Generated Node #3: [94, 124] from Operation: 31*4=124 Current State: 30:[94, 124], Operations: ['21-17=4', '31*4=124'] Exploring Operation: 124-94=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 51, 72, 7, 34 ]
55
[ "72*34=2448", "2448/51=48", "7+48=55" ]
Current State: 55:[51, 72, 7, 34], Operations: [] Exploring Operation: 72*34=2448, Resulting Numbers: [51, 7, 2448] Generated Node #2: [51, 7, 2448] from Operation: 72*34=2448 Current State: 55:[51, 7, 2448], Operations: ['72*34=2448'] Exploring Operation: 2448/51=48, Resulting Numbers: [7, 48] Generated Node #3: [7, 48] from Operation: 2448/51=48 Current State: 55:[7, 48], Operations: ['72*34=2448', '2448/51=48'] Exploring Operation: 7+48=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 96, 33, 29, 16 ]
28
[ "96+16=112", "33-29=4", "112/4=28" ]
Current State: 28:[96, 33, 29, 16], Operations: [] Exploring Operation: 96+16=112, Resulting Numbers: [33, 29, 112] Generated Node #2: [33, 29, 112] from Operation: 96+16=112 Current State: 28:[33, 29, 112], Operations: ['96+16=112'] Exploring Operation: 33-29=4, Resulting Numbers: [112, 4] Generated Node #3: [112, 4] from Operation: 33-29=4 Current State: 28:[112, 4], Operations: ['96+16=112', '33-29=4'] Exploring Operation: 112/4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 51, 77, 63, 26 ]
63
[ "77-51=26", "63+26=89", "89-26=63" ]
Current State: 63:[51, 77, 63, 26], Operations: [] Exploring Operation: 77-51=26, Resulting Numbers: [63, 26, 26] Generated Node #2: [63, 26, 26] from Operation: 77-51=26 Current State: 63:[63, 26, 26], Operations: ['77-51=26'] Exploring Operation: 63+26=89, Resulting Numbers: [89] 89,63 equal: Goal Reached Exploring Operation: 89-26=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 30, 35, 62, 97 ]
30
[ "30+35=65", "97-62=35", "65-35=30" ]
Current State: 30:[30, 35, 62, 97], Operations: [] Exploring Operation: 30+35=65, Resulting Numbers: [62, 97, 65] Generated Node #2: [62, 97, 65] from Operation: 30+35=65 Current State: 30:[62, 97, 65], Operations: ['30+35=65'] Exploring Operation: 97-62=35, Resulting Numbers: [65, 35] Generated Node #3: [65, 35] from Operation: 97-62=35 Current State: 30:[65, 35], Operations: ['30+35=65', '97-62=35'] Exploring Operation: 65-35=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 99, 3, 85 ]
78
[ "3*85=255", "255-99=156", "156/2=78" ]
Current State: 78:[2, 99, 3, 85], Operations: [] Exploring Operation: 3*85=255, Resulting Numbers: [2, 99, 255] Generated Node #2: [2, 99, 255] from Operation: 3*85=255 Current State: 78:[2, 99, 255], Operations: ['3*85=255'] Exploring Operation: 255-99=156, Resulting Numbers: [2, 156] Generated Node #3: [2, 156] from Operation: 255-99=156 Current State: 78:[2, 156], Operations: ['3*85=255', '255-99=156'] Exploring Operation: 156/2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 87, 54, 2, 97 ]
37
[ "97-87=10", "54/2=27", "10+27=37" ]
Current State: 37:[87, 54, 2, 97], Operations: [] Exploring Operation: 97-87=10, Resulting Numbers: [54, 2, 10] Generated Node #2: [54, 2, 10] from Operation: 97-87=10 Current State: 37:[54, 2, 10], Operations: ['97-87=10'] Exploring Operation: 54/2=27, Resulting Numbers: [10, 27] Generated Node #3: [10, 27] from Operation: 54/2=27 Current State: 37:[10, 27], Operations: ['97-87=10', '54/2=27'] Exploring Operation: 10+27=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 72, 78, 37, 14 ]
29
[ "78-72=6", "37-14=23", "6+23=29" ]
Current State: 29:[72, 78, 37, 14], Operations: [] Exploring Operation: 78-72=6, Resulting Numbers: [37, 14, 6] Generated Node #2: [37, 14, 6] from Operation: 78-72=6 Current State: 29:[37, 14, 6], Operations: ['78-72=6'] Exploring Operation: 37-14=23, Resulting Numbers: [6, 23] Generated Node #3: [6, 23] from Operation: 37-14=23 Current State: 29:[6, 23], Operations: ['78-72=6', '37-14=23'] Exploring Operation: 6+23=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 52, 36, 36, 55 ]
72
[ "55-52=3", "36*3=108", "108-36=72" ]
Current State: 72:[52, 36, 36, 55], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [36, 36, 3] Generated Node #2: [36, 36, 3] from Operation: 55-52=3 Current State: 72:[36, 36, 3], Operations: ['55-52=3'] Exploring Operation: 36*3=108, Resulting Numbers: [108] 108,72 equal: Goal Reached Exploring Operation: 108-36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 42, 60, 87, 51 ]
89
[ "42+60=102", "102/51=2", "87+2=89" ]
Current State: 89:[42, 60, 87, 51], Operations: [] Exploring Operation: 42+60=102, Resulting Numbers: [87, 51, 102] Generated Node #2: [87, 51, 102] from Operation: 42+60=102 Current State: 89:[87, 51, 102], Operations: ['42+60=102'] Exploring Operation: 102/51=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 102/51=2 Current State: 89:[87, 2], Operations: ['42+60=102', '102/51=2'] Exploring Operation: 87+2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 42, 83, 44, 24 ]
27
[ "83-42=41", "44+24=68", "68-41=27" ]
Current State: 27:[42, 83, 44, 24], Operations: [] Exploring Operation: 83-42=41, Resulting Numbers: [44, 24, 41] Generated Node #2: [44, 24, 41] from Operation: 83-42=41 Current State: 27:[44, 24, 41], Operations: ['83-42=41'] Exploring Operation: 44+24=68, Resulting Numbers: [41, 68] Generated Node #3: [41, 68] from Operation: 44+24=68 Current State: 27:[41, 68], Operations: ['83-42=41', '44+24=68'] Exploring Operation: 68-41=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 4, 68, 47, 54 ]
10
[ "68/4=17", "54-47=7", "17-7=10" ]
Current State: 10:[4, 68, 47, 54], Operations: [] Exploring Operation: 68/4=17, Resulting Numbers: [47, 54, 17] Generated Node #2: [47, 54, 17] from Operation: 68/4=17 Current State: 10:[47, 54, 17], Operations: ['68/4=17'] Exploring Operation: 54-47=7, Resulting Numbers: [17, 7] Generated Node #3: [17, 7] from Operation: 54-47=7 Current State: 10:[17, 7], Operations: ['68/4=17', '54-47=7'] Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 18, 98, 65, 65 ]
80
[ "98-18=80", "65-65=0", "80+0=80" ]
Current State: 80:[18, 98, 65, 65], Operations: [] Exploring Operation: 98-18=80, Resulting Numbers: [65, 65, 80] Generated Node #2: [65, 65, 80] from Operation: 98-18=80 Current State: 80:[65, 65, 80], Operations: ['98-18=80'] Exploring Operation: 65-65=0, Resulting Numbers: [80, 0] Generated Node #3: [80, 0] from Operation: 65-65=0 Current State: 80:[80, 0], Operations: ['98-18=80', '65-65=0'] Exploring Operation: 80+0=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 10, 51, 46, 37 ]
94
[ "51-37=14", "10*14=140", "140-46=94" ]
Current State: 94:[10, 51, 46, 37], Operations: [] Exploring Operation: 51-37=14, Resulting Numbers: [10, 46, 14] Generated Node #2: [10, 46, 14] from Operation: 51-37=14 Current State: 94:[10, 46, 14], Operations: ['51-37=14'] Exploring Operation: 10*14=140, Resulting Numbers: [46, 140] Generated Node #3: [46, 140] from Operation: 10*14=140 Current State: 94:[46, 140], Operations: ['51-37=14', '10*14=140'] Exploring Operation: 140-46=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 76, 85, 73, 92 ]
21
[ "76-73=3", "92-85=7", "3*7=21" ]
Current State: 21:[76, 85, 73, 92], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [85, 92, 3] Generated Node #2: [85, 92, 3] from Operation: 76-73=3 Current State: 21:[85, 92, 3], Operations: ['76-73=3'] Exploring Operation: 92-85=7, Resulting Numbers: [3, 7] Generated Node #3: [3, 7] from Operation: 92-85=7 Current State: 21:[3, 7], Operations: ['76-73=3', '92-85=7'] Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 82, 2, 75, 16 ]
98
[ "82-75=7", "16-2=14", "7*14=98" ]
Current State: 98:[82, 2, 75, 16], Operations: [] Exploring Operation: 82-75=7, Resulting Numbers: [2, 16, 7] Generated Node #2: [2, 16, 7] from Operation: 82-75=7 Current State: 98:[2, 16, 7], Operations: ['82-75=7'] Exploring Operation: 16-2=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 16-2=14 Current State: 98:[7, 14], Operations: ['82-75=7', '16-2=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 94, 75, 69, 60 ]
28
[ "94-75=19", "69-60=9", "19+9=28" ]
Current State: 28:[94, 75, 69, 60], Operations: [] Exploring Operation: 94-75=19, Resulting Numbers: [69, 60, 19] Generated Node #2: [69, 60, 19] from Operation: 94-75=19 Current State: 28:[69, 60, 19], Operations: ['94-75=19'] Exploring Operation: 69-60=9, Resulting Numbers: [19, 9] Generated Node #3: [19, 9] from Operation: 69-60=9 Current State: 28:[19, 9], Operations: ['94-75=19', '69-60=9'] Exploring Operation: 19+9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 25, 14, 94, 98 ]
15
[ "25-14=11", "98-94=4", "11+4=15" ]
Current State: 15:[25, 14, 94, 98], Operations: [] Exploring Operation: 25-14=11, Resulting Numbers: [94, 98, 11] Generated Node #2: [94, 98, 11] from Operation: 25-14=11 Current State: 15:[94, 98, 11], Operations: ['25-14=11'] Exploring Operation: 98-94=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 98-94=4 Current State: 15:[11, 4], Operations: ['25-14=11', '98-94=4'] Exploring Operation: 11+4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 2, 52, 92, 38 ]
79
[ "92-38=54", "54/2=27", "52+27=79" ]
Current State: 79:[2, 52, 92, 38], Operations: [] Exploring Operation: 92-38=54, Resulting Numbers: [2, 52, 54] Generated Node #2: [2, 52, 54] from Operation: 92-38=54 Current State: 79:[2, 52, 54], Operations: ['92-38=54'] Exploring Operation: 54/2=27, Resulting Numbers: [52, 27] Generated Node #3: [52, 27] from Operation: 54/2=27 Current State: 79:[52, 27], Operations: ['92-38=54', '54/2=27'] Exploring Operation: 52+27=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 6, 56, 26, 55 ]
91
[ "6+56=62", "55-26=29", "62+29=91" ]
Current State: 91:[6, 56, 26, 55], Operations: [] Exploring Operation: 6+56=62, Resulting Numbers: [26, 55, 62] Generated Node #2: [26, 55, 62] from Operation: 6+56=62 Current State: 91:[26, 55, 62], Operations: ['6+56=62'] Exploring Operation: 55-26=29, Resulting Numbers: [62, 29] Generated Node #3: [62, 29] from Operation: 55-26=29 Current State: 91:[62, 29], Operations: ['6+56=62', '55-26=29'] Exploring Operation: 62+29=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 17, 60, 23, 78 ]
88
[ "23-17=6", "60/6=10", "78+10=88" ]
Current State: 88:[17, 60, 23, 78], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [60, 78, 6] Generated Node #2: [60, 78, 6] from Operation: 23-17=6 Current State: 88:[60, 78, 6], Operations: ['23-17=6'] Exploring Operation: 60/6=10, Resulting Numbers: [78, 10] Generated Node #3: [78, 10] from Operation: 60/6=10 Current State: 88:[78, 10], Operations: ['23-17=6', '60/6=10'] Exploring Operation: 78+10=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 99, 53, 8, 48 ]
96
[ "99+53=152", "8+48=56", "152-56=96" ]
Current State: 96:[99, 53, 8, 48], Operations: [] Exploring Operation: 99+53=152, Resulting Numbers: [8, 48, 152] Generated Node #2: [8, 48, 152] from Operation: 99+53=152 Current State: 96:[8, 48, 152], Operations: ['99+53=152'] Exploring Operation: 8+48=56, Resulting Numbers: [152, 56] Generated Node #3: [152, 56] from Operation: 8+48=56 Current State: 96:[152, 56], Operations: ['99+53=152', '8+48=56'] Exploring Operation: 152-56=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 21, 98, 9, 35 ]
57
[ "98+35=133", "9*133=1197", "1197/21=57" ]
Current State: 57:[21, 98, 9, 35], Operations: [] Exploring Operation: 98+35=133, Resulting Numbers: [21, 9, 133] Generated Node #2: [21, 9, 133] from Operation: 98+35=133 Current State: 57:[21, 9, 133], Operations: ['98+35=133'] Exploring Operation: 9*133=1197, Resulting Numbers: [21, 1197] Generated Node #3: [21, 1197] from Operation: 9*133=1197 Current State: 57:[21, 1197], Operations: ['98+35=133', '9*133=1197'] Exploring Operation: 1197/21=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 29, 53, 3, 50 ]
96
[ "29+53=82", "82-50=32", "3*32=96" ]
Current State: 96:[29, 53, 3, 50], Operations: [] Exploring Operation: 29+53=82, Resulting Numbers: [3, 50, 82] Generated Node #2: [3, 50, 82] from Operation: 29+53=82 Current State: 96:[3, 50, 82], Operations: ['29+53=82'] Exploring Operation: 82-50=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 82-50=32 Current State: 96:[3, 32], Operations: ['29+53=82', '82-50=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 57, 91, 54, 16 ]
36
[ "91-57=34", "54+16=70", "70-34=36" ]
Current State: 36:[57, 91, 54, 16], Operations: [] Exploring Operation: 91-57=34, Resulting Numbers: [54, 16, 34] Generated Node #2: [54, 16, 34] from Operation: 91-57=34 Current State: 36:[54, 16, 34], Operations: ['91-57=34'] Exploring Operation: 54+16=70, Resulting Numbers: [34, 70] Generated Node #3: [34, 70] from Operation: 54+16=70 Current State: 36:[34, 70], Operations: ['91-57=34', '54+16=70'] Exploring Operation: 70-34=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 43, 13, 32, 15 ]
39
[ "43+13=56", "32-15=17", "56-17=39" ]
Current State: 39:[43, 13, 32, 15], Operations: [] Exploring Operation: 43+13=56, Resulting Numbers: [32, 15, 56] Generated Node #2: [32, 15, 56] from Operation: 43+13=56 Current State: 39:[32, 15, 56], Operations: ['43+13=56'] Exploring Operation: 32-15=17, Resulting Numbers: [56, 17] Generated Node #3: [56, 17] from Operation: 32-15=17 Current State: 39:[56, 17], Operations: ['43+13=56', '32-15=17'] Exploring Operation: 56-17=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 87, 28, 24, 66 ]
17
[ "87-28=59", "66-24=42", "59-42=17" ]
Current State: 17:[87, 28, 24, 66], Operations: [] Exploring Operation: 87-28=59, Resulting Numbers: [24, 66, 59] Generated Node #2: [24, 66, 59] from Operation: 87-28=59 Current State: 17:[24, 66, 59], Operations: ['87-28=59'] Exploring Operation: 66-24=42, Resulting Numbers: [59, 42] Generated Node #3: [59, 42] from Operation: 66-24=42 Current State: 17:[59, 42], Operations: ['87-28=59', '66-24=42'] Exploring Operation: 59-42=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 88, 25, 17, 86 ]
21
[ "88-86=2", "25+17=42", "42/2=21" ]
Current State: 21:[88, 25, 17, 86], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [25, 17, 2] Generated Node #2: [25, 17, 2] from Operation: 88-86=2 Current State: 21:[25, 17, 2], Operations: ['88-86=2'] Exploring Operation: 25+17=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 25+17=42 Current State: 21:[2, 42], Operations: ['88-86=2', '25+17=42'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 5, 17, 80, 8 ]
94
[ "5+17=22", "80-8=72", "22+72=94" ]
Current State: 94:[5, 17, 80, 8], Operations: [] Exploring Operation: 5+17=22, Resulting Numbers: [80, 8, 22] Generated Node #2: [80, 8, 22] from Operation: 5+17=22 Current State: 94:[80, 8, 22], Operations: ['5+17=22'] Exploring Operation: 80-8=72, Resulting Numbers: [22, 72] Generated Node #3: [22, 72] from Operation: 80-8=72 Current State: 94:[22, 72], Operations: ['5+17=22', '80-8=72'] Exploring Operation: 22+72=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 19, 88, 59, 78 ]
68
[ "88-19=69", "59+78=137", "137-69=68" ]
Current State: 68:[19, 88, 59, 78], Operations: [] Exploring Operation: 88-19=69, Resulting Numbers: [59, 78, 69] Generated Node #2: [59, 78, 69] from Operation: 88-19=69 Current State: 68:[59, 78, 69], Operations: ['88-19=69'] Exploring Operation: 59+78=137, Resulting Numbers: [69, 137] Generated Node #3: [69, 137] from Operation: 59+78=137 Current State: 68:[69, 137], Operations: ['88-19=69', '59+78=137'] Exploring Operation: 137-69=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 21, 67, 23, 85 ]
83
[ "67-21=46", "46/23=2", "85-2=83" ]
Current State: 83:[21, 67, 23, 85], Operations: [] Exploring Operation: 67-21=46, Resulting Numbers: [23, 85, 46] Generated Node #2: [23, 85, 46] from Operation: 67-21=46 Current State: 83:[23, 85, 46], Operations: ['67-21=46'] Exploring Operation: 46/23=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 46/23=2 Current State: 83:[85, 2], Operations: ['67-21=46', '46/23=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 65, 87, 6, 22 ]
50
[ "87-65=22", "6+22=28", "22+28=50" ]
Current State: 50:[65, 87, 6, 22], Operations: [] Exploring Operation: 87-65=22, Resulting Numbers: [6, 22, 22] Generated Node #2: [6, 22, 22] from Operation: 87-65=22 Current State: 50:[6, 22, 22], Operations: ['87-65=22'] Exploring Operation: 6+22=28, Resulting Numbers: [28] 28,50 equal: Goal Reached Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 76, 5, 62, 23 ]
42
[ "76+5=81", "62-23=39", "81-39=42" ]
Current State: 42:[76, 5, 62, 23], Operations: [] Exploring Operation: 76+5=81, Resulting Numbers: [62, 23, 81] Generated Node #2: [62, 23, 81] from Operation: 76+5=81 Current State: 42:[62, 23, 81], Operations: ['76+5=81'] Exploring Operation: 62-23=39, Resulting Numbers: [81, 39] Generated Node #3: [81, 39] from Operation: 62-23=39 Current State: 42:[81, 39], Operations: ['76+5=81', '62-23=39'] Exploring Operation: 81-39=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 22, 3, 70, 44 ]
48
[ "22*3=66", "70+44=114", "114-66=48" ]
Current State: 48:[22, 3, 70, 44], Operations: [] Exploring Operation: 22*3=66, Resulting Numbers: [70, 44, 66] Generated Node #2: [70, 44, 66] from Operation: 22*3=66 Current State: 48:[70, 44, 66], Operations: ['22*3=66'] Exploring Operation: 70+44=114, Resulting Numbers: [66, 114] Generated Node #3: [66, 114] from Operation: 70+44=114 Current State: 48:[66, 114], Operations: ['22*3=66', '70+44=114'] Exploring Operation: 114-66=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 57, 78, 87, 89 ]
100
[ "87*89=7743", "57+7743=7800", "7800/78=100" ]
Current State: 100:[57, 78, 87, 89], Operations: [] Exploring Operation: 87*89=7743, Resulting Numbers: [57, 78, 7743] Generated Node #2: [57, 78, 7743] from Operation: 87*89=7743 Current State: 100:[57, 78, 7743], Operations: ['87*89=7743'] Exploring Operation: 57+7743=7800, Resulting Numbers: [78, 7800] Generated Node #3: [78, 7800] from Operation: 57+7743=7800 Current State: 100:[78, 7800], Operations: ['87*89=7743', '57+7743=7800'] Exploring Operation: 7800/78=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 80, 17, 86, 26 ]
76
[ "86-80=6", "17*6=102", "102-26=76" ]
Current State: 76:[80, 17, 86, 26], Operations: [] Exploring Operation: 86-80=6, Resulting Numbers: [17, 26, 6] Generated Node #2: [17, 26, 6] from Operation: 86-80=6 Current State: 76:[17, 26, 6], Operations: ['86-80=6'] Exploring Operation: 17*6=102, Resulting Numbers: [26, 102] Generated Node #3: [26, 102] from Operation: 17*6=102 Current State: 76:[26, 102], Operations: ['86-80=6', '17*6=102'] Exploring Operation: 102-26=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 77, 50, 41, 15 ]
58
[ "50-41=9", "15*9=135", "135-77=58" ]
Current State: 58:[77, 50, 41, 15], Operations: [] Exploring Operation: 50-41=9, Resulting Numbers: [77, 15, 9] Generated Node #2: [77, 15, 9] from Operation: 50-41=9 Current State: 58:[77, 15, 9], Operations: ['50-41=9'] Exploring Operation: 15*9=135, Resulting Numbers: [77, 135] Generated Node #3: [77, 135] from Operation: 15*9=135 Current State: 58:[77, 135], Operations: ['50-41=9', '15*9=135'] Exploring Operation: 135-77=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 80, 94, 38, 15 ]
35
[ "94*15=1410", "1410-80=1330", "1330/38=35" ]
Current State: 35:[80, 94, 38, 15], Operations: [] Exploring Operation: 94*15=1410, Resulting Numbers: [80, 38, 1410] Generated Node #2: [80, 38, 1410] from Operation: 94*15=1410 Current State: 35:[80, 38, 1410], Operations: ['94*15=1410'] Exploring Operation: 1410-80=1330, Resulting Numbers: [38, 1330] Generated Node #3: [38, 1330] from Operation: 1410-80=1330 Current State: 35:[38, 1330], Operations: ['94*15=1410', '1410-80=1330'] Exploring Operation: 1330/38=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 31, 60, 73, 20 ]
38
[ "31+60=91", "73-20=53", "91-53=38" ]
Current State: 38:[31, 60, 73, 20], Operations: [] Exploring Operation: 31+60=91, Resulting Numbers: [73, 20, 91] Generated Node #2: [73, 20, 91] from Operation: 31+60=91 Current State: 38:[73, 20, 91], Operations: ['31+60=91'] Exploring Operation: 73-20=53, Resulting Numbers: [91, 53] Generated Node #3: [91, 53] from Operation: 73-20=53 Current State: 38:[91, 53], Operations: ['31+60=91', '73-20=53'] Exploring Operation: 91-53=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 76, 49, 3, 4 ]
40
[ "49*4=196", "196-76=120", "120/3=40" ]
Current State: 40:[76, 49, 3, 4], Operations: [] Exploring Operation: 49*4=196, Resulting Numbers: [76, 3, 196] Generated Node #2: [76, 3, 196] from Operation: 49*4=196 Current State: 40:[76, 3, 196], Operations: ['49*4=196'] Exploring Operation: 196-76=120, Resulting Numbers: [3, 120] Generated Node #3: [3, 120] from Operation: 196-76=120 Current State: 40:[3, 120], Operations: ['49*4=196', '196-76=120'] Exploring Operation: 120/3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 1, 11, 58, 87 ]
66
[ "1+87=88", "88/11=8", "58+8=66" ]
Current State: 66:[1, 11, 58, 87], Operations: [] Exploring Operation: 1+87=88, Resulting Numbers: [11, 58, 88] Generated Node #2: [11, 58, 88] from Operation: 1+87=88 Current State: 66:[11, 58, 88], Operations: ['1+87=88'] Exploring Operation: 88/11=8, Resulting Numbers: [58, 8] Generated Node #3: [58, 8] from Operation: 88/11=8 Current State: 66:[58, 8], Operations: ['1+87=88', '88/11=8'] Exploring Operation: 58+8=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 1, 57, 83, 80 ]
19
[ "1*57=57", "83-80=3", "57/3=19" ]
Current State: 19:[1, 57, 83, 80], Operations: [] Exploring Operation: 1*57=57, Resulting Numbers: [83, 80, 57] Generated Node #2: [83, 80, 57] from Operation: 1*57=57 Current State: 19:[83, 80, 57], Operations: ['1*57=57'] Exploring Operation: 83-80=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 83-80=3 Current State: 19:[57, 3], Operations: ['1*57=57', '83-80=3'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 64, 42, 5, 55 ]
55
[ "64-42=22", "5*22=110", "110-55=55" ]
Current State: 55:[64, 42, 5, 55], Operations: [] Exploring Operation: 64-42=22, Resulting Numbers: [5, 55, 22] Generated Node #2: [5, 55, 22] from Operation: 64-42=22 Current State: 55:[5, 55, 22], Operations: ['64-42=22'] Exploring Operation: 5*22=110, Resulting Numbers: [55, 110] Generated Node #3: [55, 110] from Operation: 5*22=110 Current State: 55:[55, 110], Operations: ['64-42=22', '5*22=110'] Exploring Operation: 110-55=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 50, 85, 36, 66 ]
67
[ "85-50=35", "36+66=102", "102-35=67" ]
Current State: 67:[50, 85, 36, 66], Operations: [] Exploring Operation: 85-50=35, Resulting Numbers: [36, 66, 35] Generated Node #2: [36, 66, 35] from Operation: 85-50=35 Current State: 67:[36, 66, 35], Operations: ['85-50=35'] Exploring Operation: 36+66=102, Resulting Numbers: [35, 102] Generated Node #3: [35, 102] from Operation: 36+66=102 Current State: 67:[35, 102], Operations: ['85-50=35', '36+66=102'] Exploring Operation: 102-35=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 87, 2, 9, 36 ]
96
[ "87-9=78", "36/2=18", "78+18=96" ]
Current State: 96:[87, 2, 9, 36], Operations: [] Exploring Operation: 87-9=78, Resulting Numbers: [2, 36, 78] Generated Node #2: [2, 36, 78] from Operation: 87-9=78 Current State: 96:[2, 36, 78], Operations: ['87-9=78'] Exploring Operation: 36/2=18, Resulting Numbers: [78, 18] Generated Node #3: [78, 18] from Operation: 36/2=18 Current State: 96:[78, 18], Operations: ['87-9=78', '36/2=18'] Exploring Operation: 78+18=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 26, 65, 95, 27 ]
78
[ "95-65=30", "30-27=3", "26*3=78" ]
Current State: 78:[26, 65, 95, 27], Operations: [] Exploring Operation: 95-65=30, Resulting Numbers: [26, 27, 30] Generated Node #2: [26, 27, 30] from Operation: 95-65=30 Current State: 78:[26, 27, 30], Operations: ['95-65=30'] Exploring Operation: 30-27=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 30-27=3 Current State: 78:[26, 3], Operations: ['95-65=30', '30-27=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 65, 84, 2, 72 ]
75
[ "65+84=149", "2+72=74", "149-74=75" ]
Current State: 75:[65, 84, 2, 72], Operations: [] Exploring Operation: 65+84=149, Resulting Numbers: [2, 72, 149] Generated Node #2: [2, 72, 149] from Operation: 65+84=149 Current State: 75:[2, 72, 149], Operations: ['65+84=149'] Exploring Operation: 2+72=74, Resulting Numbers: [149, 74] Generated Node #3: [149, 74] from Operation: 2+72=74 Current State: 75:[149, 74], Operations: ['65+84=149', '2+72=74'] Exploring Operation: 149-74=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 58, 33, 95, 95 ]
90
[ "58+33=91", "95/95=1", "91-1=90" ]
Current State: 90:[58, 33, 95, 95], Operations: [] Exploring Operation: 58+33=91, Resulting Numbers: [95, 95, 91] Generated Node #2: [95, 95, 91] from Operation: 58+33=91 Current State: 90:[95, 95, 91], Operations: ['58+33=91'] Exploring Operation: 95/95=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 95/95=1 Current State: 90:[91, 1], Operations: ['58+33=91', '95/95=1'] Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 85, 7, 2, 53 ]
99
[ "85+7=92", "92/2=46", "53+46=99" ]
Current State: 99:[85, 7, 2, 53], Operations: [] Exploring Operation: 85+7=92, Resulting Numbers: [2, 53, 92] Generated Node #2: [2, 53, 92] from Operation: 85+7=92 Current State: 99:[2, 53, 92], Operations: ['85+7=92'] Exploring Operation: 92/2=46, Resulting Numbers: [53, 46] Generated Node #3: [53, 46] from Operation: 92/2=46 Current State: 99:[53, 46], Operations: ['85+7=92', '92/2=46'] Exploring Operation: 53+46=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4