nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 68, 59, 93, 47 ]
81
[ "68+59=127", "93-47=46", "127-46=81" ]
Current State: 81:[68, 59, 93, 47], Operations: [] Exploring Operation: 68+59=127, Resulting Numbers: [93, 47, 127] Generated Node #2: [93, 47, 127] from Operation: 68+59=127 Current State: 81:[93, 47, 127], Operations: ['68+59=127'] Exploring Operation: 93-47=46, Resulting Numbers: [127, 46] Generated Node #3: [127, 46] from Operation: 93-47=46 Current State: 81:[127, 46], Operations: ['68+59=127', '93-47=46'] Exploring Operation: 127-46=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 45, 45, 55, 38 ]
17
[ "45-45=0", "55-38=17", "0+17=17" ]
Current State: 17:[45, 45, 55, 38], Operations: [] Exploring Operation: 45-45=0, Resulting Numbers: [55, 38, 0] Generated Node #2: [55, 38, 0] from Operation: 45-45=0 Current State: 17:[55, 38, 0], Operations: ['45-45=0'] Exploring Operation: 55-38=17, Resulting Numbers: [0, 17] Generated Node #3: [0, 17] from Operation: 55-38=17 Current State: 17:[0, 17], Operations: ['45-45=0', '55-38=17'] Exploring Operation: 0+17=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 36, 4, 32, 66 ]
49
[ "36+32=68", "68/4=17", "66-17=49" ]
Current State: 49:[36, 4, 32, 66], Operations: [] Exploring Operation: 36+32=68, Resulting Numbers: [4, 66, 68] Generated Node #2: [4, 66, 68] from Operation: 36+32=68 Current State: 49:[4, 66, 68], Operations: ['36+32=68'] Exploring Operation: 68/4=17, Resulting Numbers: [66, 17] Generated Node #3: [66, 17] from Operation: 68/4=17 Current State: 49:[66, 17], Operations: ['36+32=68', '68/4=17'] Exploring Operation: 66-17=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 97, 65, 45, 92 ]
79
[ "97-65=32", "92-45=47", "32+47=79" ]
Current State: 79:[97, 65, 45, 92], Operations: [] Exploring Operation: 97-65=32, Resulting Numbers: [45, 92, 32] Generated Node #2: [45, 92, 32] from Operation: 97-65=32 Current State: 79:[45, 92, 32], Operations: ['97-65=32'] Exploring Operation: 92-45=47, Resulting Numbers: [32, 47] Generated Node #3: [32, 47] from Operation: 92-45=47 Current State: 79:[32, 47], Operations: ['97-65=32', '92-45=47'] Exploring Operation: 32+47=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 98, 70, 9, 34 ]
53
[ "98-70=28", "34-9=25", "28+25=53" ]
Current State: 53:[98, 70, 9, 34], Operations: [] Exploring Operation: 98-70=28, Resulting Numbers: [9, 34, 28] Generated Node #2: [9, 34, 28] from Operation: 98-70=28 Current State: 53:[9, 34, 28], Operations: ['98-70=28'] Exploring Operation: 34-9=25, Resulting Numbers: [28, 25] Generated Node #3: [28, 25] from Operation: 34-9=25 Current State: 53:[28, 25], Operations: ['98-70=28', '34-9=25'] Exploring Operation: 28+25=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 32, 30, 39, 92 ]
37
[ "92-32=60", "60/30=2", "39-2=37" ]
Current State: 37:[32, 30, 39, 92], Operations: [] Exploring Operation: 92-32=60, Resulting Numbers: [30, 39, 60] Generated Node #2: [30, 39, 60] from Operation: 92-32=60 Current State: 37:[30, 39, 60], Operations: ['92-32=60'] Exploring Operation: 60/30=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 60/30=2 Current State: 37:[39, 2], Operations: ['92-32=60', '60/30=2'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 68, 84, 33, 50 ]
69
[ "68+84=152", "33+50=83", "152-83=69" ]
Current State: 69:[68, 84, 33, 50], Operations: [] Exploring Operation: 68+84=152, Resulting Numbers: [33, 50, 152] Generated Node #2: [33, 50, 152] from Operation: 68+84=152 Current State: 69:[33, 50, 152], Operations: ['68+84=152'] Exploring Operation: 33+50=83, Resulting Numbers: [152, 83] Generated Node #3: [152, 83] from Operation: 33+50=83 Current State: 69:[152, 83], Operations: ['68+84=152', '33+50=83'] Exploring Operation: 152-83=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 66, 51, 2, 6 ]
45
[ "66-51=15", "6/2=3", "15*3=45" ]
Current State: 45:[66, 51, 2, 6], Operations: [] Exploring Operation: 66-51=15, Resulting Numbers: [2, 6, 15] Generated Node #2: [2, 6, 15] from Operation: 66-51=15 Current State: 45:[2, 6, 15], Operations: ['66-51=15'] Exploring Operation: 6/2=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 6/2=3 Current State: 45:[15, 3], Operations: ['66-51=15', '6/2=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 67, 3, 81, 78 ]
40
[ "81-67=14", "78/3=26", "14+26=40" ]
Current State: 40:[67, 3, 81, 78], Operations: [] Exploring Operation: 81-67=14, Resulting Numbers: [3, 78, 14] Generated Node #2: [3, 78, 14] from Operation: 81-67=14 Current State: 40:[3, 78, 14], Operations: ['81-67=14'] Exploring Operation: 78/3=26, Resulting Numbers: [14, 26] Generated Node #3: [14, 26] from Operation: 78/3=26 Current State: 40:[14, 26], Operations: ['81-67=14', '78/3=26'] Exploring Operation: 14+26=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 11, 35, 31, 28 ]
94
[ "31-28=3", "35*3=105", "105-11=94" ]
Current State: 94:[11, 35, 31, 28], Operations: [] Exploring Operation: 31-28=3, Resulting Numbers: [11, 35, 3] Generated Node #2: [11, 35, 3] from Operation: 31-28=3 Current State: 94:[11, 35, 3], Operations: ['31-28=3'] Exploring Operation: 35*3=105, Resulting Numbers: [11, 105] Generated Node #3: [11, 105] from Operation: 35*3=105 Current State: 94:[11, 105], Operations: ['31-28=3', '35*3=105'] Exploring Operation: 105-11=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 97, 54, 3, 89 ]
26
[ "97-89=8", "54/3=18", "8+18=26" ]
Current State: 26:[97, 54, 3, 89], Operations: [] Exploring Operation: 97-89=8, Resulting Numbers: [54, 3, 8] Generated Node #2: [54, 3, 8] from Operation: 97-89=8 Current State: 26:[54, 3, 8], Operations: ['97-89=8'] Exploring Operation: 54/3=18, Resulting Numbers: [8, 18] Generated Node #3: [8, 18] from Operation: 54/3=18 Current State: 26:[8, 18], Operations: ['97-89=8', '54/3=18'] Exploring Operation: 8+18=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 39, 88, 95, 69 ]
75
[ "88-39=49", "95-69=26", "49+26=75" ]
Current State: 75:[39, 88, 95, 69], Operations: [] Exploring Operation: 88-39=49, Resulting Numbers: [95, 69, 49] Generated Node #2: [95, 69, 49] from Operation: 88-39=49 Current State: 75:[95, 69, 49], Operations: ['88-39=49'] Exploring Operation: 95-69=26, Resulting Numbers: [49, 26] Generated Node #3: [49, 26] from Operation: 95-69=26 Current State: 75:[49, 26], Operations: ['88-39=49', '95-69=26'] Exploring Operation: 49+26=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 69, 41, 51, 95 ]
55
[ "69+95=164", "164/41=4", "51+4=55" ]
Current State: 55:[69, 41, 51, 95], Operations: [] Exploring Operation: 69+95=164, Resulting Numbers: [41, 51, 164] Generated Node #2: [41, 51, 164] from Operation: 69+95=164 Current State: 55:[41, 51, 164], Operations: ['69+95=164'] Exploring Operation: 164/41=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 164/41=4 Current State: 55:[51, 4], Operations: ['69+95=164', '164/41=4'] Exploring Operation: 51+4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 7, 8, 78, 44 ]
35
[ "8-7=1", "78-44=34", "1+34=35" ]
Current State: 35:[7, 8, 78, 44], Operations: [] Exploring Operation: 8-7=1, Resulting Numbers: [78, 44, 1] Generated Node #2: [78, 44, 1] from Operation: 8-7=1 Current State: 35:[78, 44, 1], Operations: ['8-7=1'] Exploring Operation: 78-44=34, Resulting Numbers: [1, 34] Generated Node #3: [1, 34] from Operation: 78-44=34 Current State: 35:[1, 34], Operations: ['8-7=1', '78-44=34'] Exploring Operation: 1+34=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 78, 33, 65, 67 ]
82
[ "65+67=132", "132/33=4", "78+4=82" ]
Current State: 82:[78, 33, 65, 67], Operations: [] Exploring Operation: 65+67=132, Resulting Numbers: [78, 33, 132] Generated Node #2: [78, 33, 132] from Operation: 65+67=132 Current State: 82:[78, 33, 132], Operations: ['65+67=132'] Exploring Operation: 132/33=4, Resulting Numbers: [78, 4] Generated Node #3: [78, 4] from Operation: 132/33=4 Current State: 82:[78, 4], Operations: ['65+67=132', '132/33=4'] Exploring Operation: 78+4=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 34, 96, 21, 99 ]
52
[ "34+96=130", "99-21=78", "130-78=52" ]
Current State: 52:[34, 96, 21, 99], Operations: [] Exploring Operation: 34+96=130, Resulting Numbers: [21, 99, 130] Generated Node #2: [21, 99, 130] from Operation: 34+96=130 Current State: 52:[21, 99, 130], Operations: ['34+96=130'] Exploring Operation: 99-21=78, Resulting Numbers: [130, 78] Generated Node #3: [130, 78] from Operation: 99-21=78 Current State: 52:[130, 78], Operations: ['34+96=130', '99-21=78'] Exploring Operation: 130-78=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 47, 34, 82, 59 ]
58
[ "47+34=81", "82-59=23", "81-23=58" ]
Current State: 58:[47, 34, 82, 59], Operations: [] Exploring Operation: 47+34=81, Resulting Numbers: [82, 59, 81] Generated Node #2: [82, 59, 81] from Operation: 47+34=81 Current State: 58:[82, 59, 81], Operations: ['47+34=81'] Exploring Operation: 82-59=23, Resulting Numbers: [81, 23] Generated Node #3: [81, 23] from Operation: 82-59=23 Current State: 58:[81, 23], Operations: ['47+34=81', '82-59=23'] Exploring Operation: 81-23=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 53, 92, 5, 72 ]
49
[ "92-72=20", "20/5=4", "53-4=49" ]
Current State: 49:[53, 92, 5, 72], Operations: [] Exploring Operation: 92-72=20, Resulting Numbers: [53, 5, 20] Generated Node #2: [53, 5, 20] from Operation: 92-72=20 Current State: 49:[53, 5, 20], Operations: ['92-72=20'] Exploring Operation: 20/5=4, Resulting Numbers: [53, 4] Generated Node #3: [53, 4] from Operation: 20/5=4 Current State: 49:[53, 4], Operations: ['92-72=20', '20/5=4'] Exploring Operation: 53-4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 41, 86, 68, 70 ]
84
[ "70-68=2", "86/2=43", "41+43=84" ]
Current State: 84:[41, 86, 68, 70], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [41, 86, 2] Generated Node #2: [41, 86, 2] from Operation: 70-68=2 Current State: 84:[41, 86, 2], Operations: ['70-68=2'] Exploring Operation: 86/2=43, Resulting Numbers: [41, 43] Generated Node #3: [41, 43] from Operation: 86/2=43 Current State: 84:[41, 43], Operations: ['70-68=2', '86/2=43'] Exploring Operation: 41+43=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 61, 30, 94, 2 ]
58
[ "61*2=122", "94-30=64", "122-64=58" ]
Current State: 58:[61, 30, 94, 2], Operations: [] Exploring Operation: 61*2=122, Resulting Numbers: [30, 94, 122] Generated Node #2: [30, 94, 122] from Operation: 61*2=122 Current State: 58:[30, 94, 122], Operations: ['61*2=122'] Exploring Operation: 94-30=64, Resulting Numbers: [122, 64] Generated Node #3: [122, 64] from Operation: 94-30=64 Current State: 58:[122, 64], Operations: ['61*2=122', '94-30=64'] Exploring Operation: 122-64=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 42, 71, 96, 18 ]
12
[ "42*18=756", "96+756=852", "852/71=12" ]
Current State: 12:[42, 71, 96, 18], Operations: [] Exploring Operation: 42*18=756, Resulting Numbers: [71, 96, 756] Generated Node #2: [71, 96, 756] from Operation: 42*18=756 Current State: 12:[71, 96, 756], Operations: ['42*18=756'] Exploring Operation: 96+756=852, Resulting Numbers: [71, 852] Generated Node #3: [71, 852] from Operation: 96+756=852 Current State: 12:[71, 852], Operations: ['42*18=756', '96+756=852'] Exploring Operation: 852/71=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 2, 96, 5, 89 ]
98
[ "2*96=192", "5+89=94", "192-94=98" ]
Current State: 98:[2, 96, 5, 89], Operations: [] Exploring Operation: 2*96=192, Resulting Numbers: [5, 89, 192] Generated Node #2: [5, 89, 192] from Operation: 2*96=192 Current State: 98:[5, 89, 192], Operations: ['2*96=192'] Exploring Operation: 5+89=94, Resulting Numbers: [192, 94] Generated Node #3: [192, 94] from Operation: 5+89=94 Current State: 98:[192, 94], Operations: ['2*96=192', '5+89=94'] Exploring Operation: 192-94=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 56, 81, 17, 3 ]
70
[ "56*3=168", "81+17=98", "168-98=70" ]
Current State: 70:[56, 81, 17, 3], Operations: [] Exploring Operation: 56*3=168, Resulting Numbers: [81, 17, 168] Generated Node #2: [81, 17, 168] from Operation: 56*3=168 Current State: 70:[81, 17, 168], Operations: ['56*3=168'] Exploring Operation: 81+17=98, Resulting Numbers: [168, 98] Generated Node #3: [168, 98] from Operation: 81+17=98 Current State: 70:[168, 98], Operations: ['56*3=168', '81+17=98'] Exploring Operation: 168-98=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 60, 70, 47, 44 ]
90
[ "47-44=3", "60/3=20", "70+20=90" ]
Current State: 90:[60, 70, 47, 44], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [60, 70, 3] Generated Node #2: [60, 70, 3] from Operation: 47-44=3 Current State: 90:[60, 70, 3], Operations: ['47-44=3'] Exploring Operation: 60/3=20, Resulting Numbers: [70, 20] Generated Node #3: [70, 20] from Operation: 60/3=20 Current State: 90:[70, 20], Operations: ['47-44=3', '60/3=20'] Exploring Operation: 70+20=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 29, 93, 31, 74 ]
17
[ "29+93=122", "31+74=105", "122-105=17" ]
Current State: 17:[29, 93, 31, 74], Operations: [] Exploring Operation: 29+93=122, Resulting Numbers: [31, 74, 122] Generated Node #2: [31, 74, 122] from Operation: 29+93=122 Current State: 17:[31, 74, 122], Operations: ['29+93=122'] Exploring Operation: 31+74=105, Resulting Numbers: [122, 105] Generated Node #3: [122, 105] from Operation: 31+74=105 Current State: 17:[122, 105], Operations: ['29+93=122', '31+74=105'] Exploring Operation: 122-105=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 73, 26, 32, 7 ]
22
[ "73-26=47", "32-7=25", "47-25=22" ]
Current State: 22:[73, 26, 32, 7], Operations: [] Exploring Operation: 73-26=47, Resulting Numbers: [32, 7, 47] Generated Node #2: [32, 7, 47] from Operation: 73-26=47 Current State: 22:[32, 7, 47], Operations: ['73-26=47'] Exploring Operation: 32-7=25, Resulting Numbers: [47, 25] Generated Node #3: [47, 25] from Operation: 32-7=25 Current State: 22:[47, 25], Operations: ['73-26=47', '32-7=25'] Exploring Operation: 47-25=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 31, 29, 77, 18 ]
24
[ "29-18=11", "77/11=7", "31-7=24" ]
Current State: 24:[31, 29, 77, 18], Operations: [] Exploring Operation: 29-18=11, Resulting Numbers: [31, 77, 11] Generated Node #2: [31, 77, 11] from Operation: 29-18=11 Current State: 24:[31, 77, 11], Operations: ['29-18=11'] Exploring Operation: 77/11=7, Resulting Numbers: [31, 7] Generated Node #3: [31, 7] from Operation: 77/11=7 Current State: 24:[31, 7], Operations: ['29-18=11', '77/11=7'] Exploring Operation: 31-7=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 98, 20, 32, 3 ]
94
[ "32-20=12", "12/3=4", "98-4=94" ]
Current State: 94:[98, 20, 32, 3], Operations: [] Exploring Operation: 32-20=12, Resulting Numbers: [98, 3, 12] Generated Node #2: [98, 3, 12] from Operation: 32-20=12 Current State: 94:[98, 3, 12], Operations: ['32-20=12'] Exploring Operation: 12/3=4, Resulting Numbers: [98, 4] Generated Node #3: [98, 4] from Operation: 12/3=4 Current State: 94:[98, 4], Operations: ['32-20=12', '12/3=4'] Exploring Operation: 98-4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 64, 72, 18, 21 ]
24
[ "72-64=8", "21-18=3", "8*3=24" ]
Current State: 24:[64, 72, 18, 21], Operations: [] Exploring Operation: 72-64=8, Resulting Numbers: [18, 21, 8] Generated Node #2: [18, 21, 8] from Operation: 72-64=8 Current State: 24:[18, 21, 8], Operations: ['72-64=8'] Exploring Operation: 21-18=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 21-18=3 Current State: 24:[8, 3], Operations: ['72-64=8', '21-18=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 17, 41, 91, 92 ]
24
[ "41-17=24", "92-91=1", "24*1=24" ]
Current State: 24:[17, 41, 91, 92], Operations: [] Exploring Operation: 41-17=24, Resulting Numbers: [91, 92, 24] Generated Node #2: [91, 92, 24] from Operation: 41-17=24 Current State: 24:[91, 92, 24], Operations: ['41-17=24'] Exploring Operation: 92-91=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 92-91=1 Current State: 24:[24, 1], Operations: ['41-17=24', '92-91=1'] Exploring Operation: 24*1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 14, 95, 50, 53 ]
78
[ "95-14=81", "53-50=3", "81-3=78" ]
Current State: 78:[14, 95, 50, 53], Operations: [] Exploring Operation: 95-14=81, Resulting Numbers: [50, 53, 81] Generated Node #2: [50, 53, 81] from Operation: 95-14=81 Current State: 78:[50, 53, 81], Operations: ['95-14=81'] Exploring Operation: 53-50=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 53-50=3 Current State: 78:[81, 3], Operations: ['95-14=81', '53-50=3'] Exploring Operation: 81-3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 91, 86, 73 ]
23
[ "2*91=182", "86+73=159", "182-159=23" ]
Current State: 23:[2, 91, 86, 73], Operations: [] Exploring Operation: 2*91=182, Resulting Numbers: [86, 73, 182] Generated Node #2: [86, 73, 182] from Operation: 2*91=182 Current State: 23:[86, 73, 182], Operations: ['2*91=182'] Exploring Operation: 86+73=159, Resulting Numbers: [182, 159] Generated Node #3: [182, 159] from Operation: 86+73=159 Current State: 23:[182, 159], Operations: ['2*91=182', '86+73=159'] Exploring Operation: 182-159=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 91, 13, 48, 2 ]
63
[ "91-13=78", "48+78=126", "126/2=63" ]
Current State: 63:[91, 13, 48, 2], Operations: [] Exploring Operation: 91-13=78, Resulting Numbers: [48, 2, 78] Generated Node #2: [48, 2, 78] from Operation: 91-13=78 Current State: 63:[48, 2, 78], Operations: ['91-13=78'] Exploring Operation: 48+78=126, Resulting Numbers: [2, 126] Generated Node #3: [2, 126] from Operation: 48+78=126 Current State: 63:[2, 126], Operations: ['91-13=78', '48+78=126'] Exploring Operation: 126/2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 12, 65, 89, 92 ]
74
[ "12+65=77", "92-89=3", "77-3=74" ]
Current State: 74:[12, 65, 89, 92], Operations: [] Exploring Operation: 12+65=77, Resulting Numbers: [89, 92, 77] Generated Node #2: [89, 92, 77] from Operation: 12+65=77 Current State: 74:[89, 92, 77], Operations: ['12+65=77'] Exploring Operation: 92-89=3, Resulting Numbers: [77, 3] Generated Node #3: [77, 3] from Operation: 92-89=3 Current State: 74:[77, 3], Operations: ['12+65=77', '92-89=3'] Exploring Operation: 77-3=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 16, 93, 84, 38 ]
45
[ "93-16=77", "84+38=122", "122-77=45" ]
Current State: 45:[16, 93, 84, 38], Operations: [] Exploring Operation: 93-16=77, Resulting Numbers: [84, 38, 77] Generated Node #2: [84, 38, 77] from Operation: 93-16=77 Current State: 45:[84, 38, 77], Operations: ['93-16=77'] Exploring Operation: 84+38=122, Resulting Numbers: [77, 122] Generated Node #3: [77, 122] from Operation: 84+38=122 Current State: 45:[77, 122], Operations: ['93-16=77', '84+38=122'] Exploring Operation: 122-77=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 42, 36, 8, 30 ]
90
[ "36-30=6", "8*6=48", "42+48=90" ]
Current State: 90:[42, 36, 8, 30], Operations: [] Exploring Operation: 36-30=6, Resulting Numbers: [42, 8, 6] Generated Node #2: [42, 8, 6] from Operation: 36-30=6 Current State: 90:[42, 8, 6], Operations: ['36-30=6'] Exploring Operation: 8*6=48, Resulting Numbers: [42, 48] Generated Node #3: [42, 48] from Operation: 8*6=48 Current State: 90:[42, 48], Operations: ['36-30=6', '8*6=48'] Exploring Operation: 42+48=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 61, 51, 90 ]
33
[ "61-51=10", "90/10=9", "24+9=33" ]
Current State: 33:[24, 61, 51, 90], Operations: [] Exploring Operation: 61-51=10, Resulting Numbers: [24, 90, 10] Generated Node #2: [24, 90, 10] from Operation: 61-51=10 Current State: 33:[24, 90, 10], Operations: ['61-51=10'] Exploring Operation: 90/10=9, Resulting Numbers: [24, 9] Generated Node #3: [24, 9] from Operation: 90/10=9 Current State: 33:[24, 9], Operations: ['61-51=10', '90/10=9'] Exploring Operation: 24+9=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 46, 34, 97, 46 ]
64
[ "46/46=1", "97-34=63", "1+63=64" ]
Current State: 64:[46, 34, 97, 46], Operations: [] Exploring Operation: 46/46=1, Resulting Numbers: [34, 97, 1] Generated Node #2: [34, 97, 1] from Operation: 46/46=1 Current State: 64:[34, 97, 1], Operations: ['46/46=1'] Exploring Operation: 97-34=63, Resulting Numbers: [1, 63] Generated Node #3: [1, 63] from Operation: 97-34=63 Current State: 64:[1, 63], Operations: ['46/46=1', '97-34=63'] Exploring Operation: 1+63=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 45, 95, 54, 95 ]
45
[ "95-95=0", "54*0=0", "45+0=45" ]
Current State: 45:[45, 95, 54, 95], Operations: [] Exploring Operation: 95-95=0, Resulting Numbers: [45, 54, 0] Generated Node #2: [45, 54, 0] from Operation: 95-95=0 Current State: 45:[45, 54, 0], Operations: ['95-95=0'] Exploring Operation: 54*0=0, Resulting Numbers: [45, 0] Generated Node #3: [45, 0] from Operation: 54*0=0 Current State: 45:[45, 0], Operations: ['95-95=0', '54*0=0'] Exploring Operation: 45+0=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 29, 7, 47, 22 ]
91
[ "29-7=22", "47+22=69", "22+69=91" ]
Current State: 91:[29, 7, 47, 22], Operations: [] Exploring Operation: 29-7=22, Resulting Numbers: [47, 22, 22] Generated Node #2: [47, 22, 22] from Operation: 29-7=22 Current State: 91:[47, 22, 22], Operations: ['29-7=22'] Exploring Operation: 47+22=69, Resulting Numbers: [69] 69,91 equal: Goal Reached Exploring Operation: 22+69=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 10, 12, 67, 63 ]
71
[ "12-10=2", "67*2=134", "134-63=71" ]
Current State: 71:[10, 12, 67, 63], Operations: [] Exploring Operation: 12-10=2, Resulting Numbers: [67, 63, 2] Generated Node #2: [67, 63, 2] from Operation: 12-10=2 Current State: 71:[67, 63, 2], Operations: ['12-10=2'] Exploring Operation: 67*2=134, Resulting Numbers: [63, 134] Generated Node #3: [63, 134] from Operation: 67*2=134 Current State: 71:[63, 134], Operations: ['12-10=2', '67*2=134'] Exploring Operation: 134-63=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 10, 5, 10, 79 ]
75
[ "10+10=20", "20/5=4", "79-4=75" ]
Current State: 75:[10, 5, 10, 79], Operations: [] Exploring Operation: 10+10=20, Resulting Numbers: [5, 79, 20] Generated Node #2: [5, 79, 20] from Operation: 10+10=20 Current State: 75:[5, 79, 20], Operations: ['10+10=20'] Exploring Operation: 20/5=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 20/5=4 Current State: 75:[79, 4], Operations: ['10+10=20', '20/5=4'] Exploring Operation: 79-4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 21, 36, 5, 27 ]
35
[ "21+36=57", "27-5=22", "57-22=35" ]
Current State: 35:[21, 36, 5, 27], Operations: [] Exploring Operation: 21+36=57, Resulting Numbers: [5, 27, 57] Generated Node #2: [5, 27, 57] from Operation: 21+36=57 Current State: 35:[5, 27, 57], Operations: ['21+36=57'] Exploring Operation: 27-5=22, Resulting Numbers: [57, 22] Generated Node #3: [57, 22] from Operation: 27-5=22 Current State: 35:[57, 22], Operations: ['21+36=57', '27-5=22'] Exploring Operation: 57-22=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 41, 58, 10, 80 ]
87
[ "58-41=17", "80-10=70", "17+70=87" ]
Current State: 87:[41, 58, 10, 80], Operations: [] Exploring Operation: 58-41=17, Resulting Numbers: [10, 80, 17] Generated Node #2: [10, 80, 17] from Operation: 58-41=17 Current State: 87:[10, 80, 17], Operations: ['58-41=17'] Exploring Operation: 80-10=70, Resulting Numbers: [17, 70] Generated Node #3: [17, 70] from Operation: 80-10=70 Current State: 87:[17, 70], Operations: ['58-41=17', '80-10=70'] Exploring Operation: 17+70=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 68, 10, 78, 55 ]
81
[ "68-10=58", "78-55=23", "58+23=81" ]
Current State: 81:[68, 10, 78, 55], Operations: [] Exploring Operation: 68-10=58, Resulting Numbers: [78, 55, 58] Generated Node #2: [78, 55, 58] from Operation: 68-10=58 Current State: 81:[78, 55, 58], Operations: ['68-10=58'] Exploring Operation: 78-55=23, Resulting Numbers: [58, 23] Generated Node #3: [58, 23] from Operation: 78-55=23 Current State: 81:[58, 23], Operations: ['68-10=58', '78-55=23'] Exploring Operation: 58+23=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 90, 79, 6, 52 ]
72
[ "79-52=27", "6*27=162", "162-90=72" ]
Current State: 72:[90, 79, 6, 52], Operations: [] Exploring Operation: 79-52=27, Resulting Numbers: [90, 6, 27] Generated Node #2: [90, 6, 27] from Operation: 79-52=27 Current State: 72:[90, 6, 27], Operations: ['79-52=27'] Exploring Operation: 6*27=162, Resulting Numbers: [90, 162] Generated Node #3: [90, 162] from Operation: 6*27=162 Current State: 72:[90, 162], Operations: ['79-52=27', '6*27=162'] Exploring Operation: 162-90=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 61, 48, 15, 1 ]
95
[ "61+48=109", "15-1=14", "109-14=95" ]
Current State: 95:[61, 48, 15, 1], Operations: [] Exploring Operation: 61+48=109, Resulting Numbers: [15, 1, 109] Generated Node #2: [15, 1, 109] from Operation: 61+48=109 Current State: 95:[15, 1, 109], Operations: ['61+48=109'] Exploring Operation: 15-1=14, Resulting Numbers: [109, 14] Generated Node #3: [109, 14] from Operation: 15-1=14 Current State: 95:[109, 14], Operations: ['61+48=109', '15-1=14'] Exploring Operation: 109-14=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 26, 33, 1, 99 ]
81
[ "26+1=27", "99/33=3", "27*3=81" ]
Current State: 81:[26, 33, 1, 99], Operations: [] Exploring Operation: 26+1=27, Resulting Numbers: [33, 99, 27] Generated Node #2: [33, 99, 27] from Operation: 26+1=27 Current State: 81:[33, 99, 27], Operations: ['26+1=27'] Exploring Operation: 99/33=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 99/33=3 Current State: 81:[27, 3], Operations: ['26+1=27', '99/33=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 35, 96, 51, 98 ]
14
[ "96-35=61", "98-51=47", "61-47=14" ]
Current State: 14:[35, 96, 51, 98], Operations: [] Exploring Operation: 96-35=61, Resulting Numbers: [51, 98, 61] Generated Node #2: [51, 98, 61] from Operation: 96-35=61 Current State: 14:[51, 98, 61], Operations: ['96-35=61'] Exploring Operation: 98-51=47, Resulting Numbers: [61, 47] Generated Node #3: [61, 47] from Operation: 98-51=47 Current State: 14:[61, 47], Operations: ['96-35=61', '98-51=47'] Exploring Operation: 61-47=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 12, 59, 11, 54 ]
49
[ "59-54=5", "12*5=60", "60-11=49" ]
Current State: 49:[12, 59, 11, 54], Operations: [] Exploring Operation: 59-54=5, Resulting Numbers: [12, 11, 5] Generated Node #2: [12, 11, 5] from Operation: 59-54=5 Current State: 49:[12, 11, 5], Operations: ['59-54=5'] Exploring Operation: 12*5=60, Resulting Numbers: [11, 60] Generated Node #3: [11, 60] from Operation: 12*5=60 Current State: 49:[11, 60], Operations: ['59-54=5', '12*5=60'] Exploring Operation: 60-11=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 40, 97, 20, 66 ]
33
[ "40/20=2", "97-66=31", "2+31=33" ]
Current State: 33:[40, 97, 20, 66], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [97, 66, 2] Generated Node #2: [97, 66, 2] from Operation: 40/20=2 Current State: 33:[97, 66, 2], Operations: ['40/20=2'] Exploring Operation: 97-66=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 97-66=31 Current State: 33:[2, 31], Operations: ['40/20=2', '97-66=31'] Exploring Operation: 2+31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 86, 55, 2, 86 ]
98
[ "86+55=141", "86/2=43", "141-43=98" ]
Current State: 98:[86, 55, 2, 86], Operations: [] Exploring Operation: 86+55=141, Resulting Numbers: [2, 141] Generated Node #2: [2, 141] from Operation: 86+55=141 Current State: 98:[2, 141], Operations: ['86+55=141'] Exploring Operation: 86/2=43, Resulting Numbers: [141, 43] Generated Node #3: [141, 43] from Operation: 86/2=43 Current State: 98:[141, 43], Operations: ['86+55=141', '86/2=43'] Exploring Operation: 141-43=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 39, 16, 18, 32 ]
30
[ "16*18=288", "288/32=9", "39-9=30" ]
Current State: 30:[39, 16, 18, 32], Operations: [] Exploring Operation: 16*18=288, Resulting Numbers: [39, 32, 288] Generated Node #2: [39, 32, 288] from Operation: 16*18=288 Current State: 30:[39, 32, 288], Operations: ['16*18=288'] Exploring Operation: 288/32=9, Resulting Numbers: [39, 9] Generated Node #3: [39, 9] from Operation: 288/32=9 Current State: 30:[39, 9], Operations: ['16*18=288', '288/32=9'] Exploring Operation: 39-9=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 56, 41, 22, 49 ]
70
[ "56+41=97", "49-22=27", "97-27=70" ]
Current State: 70:[56, 41, 22, 49], Operations: [] Exploring Operation: 56+41=97, Resulting Numbers: [22, 49, 97] Generated Node #2: [22, 49, 97] from Operation: 56+41=97 Current State: 70:[22, 49, 97], Operations: ['56+41=97'] Exploring Operation: 49-22=27, Resulting Numbers: [97, 27] Generated Node #3: [97, 27] from Operation: 49-22=27 Current State: 70:[97, 27], Operations: ['56+41=97', '49-22=27'] Exploring Operation: 97-27=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 85, 96, 66, 66 ]
10
[ "96-85=11", "66/66=1", "11-1=10" ]
Current State: 10:[85, 96, 66, 66], Operations: [] Exploring Operation: 96-85=11, Resulting Numbers: [66, 66, 11] Generated Node #2: [66, 66, 11] from Operation: 96-85=11 Current State: 10:[66, 66, 11], Operations: ['96-85=11'] Exploring Operation: 66/66=1, Resulting Numbers: [11, 1] Generated Node #3: [11, 1] from Operation: 66/66=1 Current State: 10:[11, 1], Operations: ['96-85=11', '66/66=1'] Exploring Operation: 11-1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 46, 65, 35, 88 ]
90
[ "46*65=2990", "35*88=3080", "3080-2990=90" ]
Current State: 90:[46, 65, 35, 88], Operations: [] Exploring Operation: 46*65=2990, Resulting Numbers: [35, 88, 2990] Generated Node #2: [35, 88, 2990] from Operation: 46*65=2990 Current State: 90:[35, 88, 2990], Operations: ['46*65=2990'] Exploring Operation: 35*88=3080, Resulting Numbers: [2990, 3080] Generated Node #3: [2990, 3080] from Operation: 35*88=3080 Current State: 90:[2990, 3080], Operations: ['46*65=2990', '35*88=3080'] Exploring Operation: 3080-2990=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 4, 88, 84, 74 ]
12
[ "88/4=22", "84-74=10", "22-10=12" ]
Current State: 12:[4, 88, 84, 74], Operations: [] Exploring Operation: 88/4=22, Resulting Numbers: [84, 74, 22] Generated Node #2: [84, 74, 22] from Operation: 88/4=22 Current State: 12:[84, 74, 22], Operations: ['88/4=22'] Exploring Operation: 84-74=10, Resulting Numbers: [22, 10] Generated Node #3: [22, 10] from Operation: 84-74=10 Current State: 12:[22, 10], Operations: ['88/4=22', '84-74=10'] Exploring Operation: 22-10=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 44, 4, 16, 36 ]
32
[ "44-16=28", "36-28=8", "4*8=32" ]
Current State: 32:[44, 4, 16, 36], Operations: [] Exploring Operation: 44-16=28, Resulting Numbers: [4, 36, 28] Generated Node #2: [4, 36, 28] from Operation: 44-16=28 Current State: 32:[4, 36, 28], Operations: ['44-16=28'] Exploring Operation: 36-28=8, Resulting Numbers: [4, 8] Generated Node #3: [4, 8] from Operation: 36-28=8 Current State: 32:[4, 8], Operations: ['44-16=28', '36-28=8'] Exploring Operation: 4*8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 53, 22, 98, 30 ]
97
[ "53-22=31", "98+30=128", "128-31=97" ]
Current State: 97:[53, 22, 98, 30], Operations: [] Exploring Operation: 53-22=31, Resulting Numbers: [98, 30, 31] Generated Node #2: [98, 30, 31] from Operation: 53-22=31 Current State: 97:[98, 30, 31], Operations: ['53-22=31'] Exploring Operation: 98+30=128, Resulting Numbers: [31, 128] Generated Node #3: [31, 128] from Operation: 98+30=128 Current State: 97:[31, 128], Operations: ['53-22=31', '98+30=128'] Exploring Operation: 128-31=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 3, 96, 80, 81 ]
21
[ "96+81=177", "177/3=59", "80-59=21" ]
Current State: 21:[3, 96, 80, 81], Operations: [] Exploring Operation: 96+81=177, Resulting Numbers: [3, 80, 177] Generated Node #2: [3, 80, 177] from Operation: 96+81=177 Current State: 21:[3, 80, 177], Operations: ['96+81=177'] Exploring Operation: 177/3=59, Resulting Numbers: [80, 59] Generated Node #3: [80, 59] from Operation: 177/3=59 Current State: 21:[80, 59], Operations: ['96+81=177', '177/3=59'] Exploring Operation: 80-59=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 77, 2, 39, 39 ]
58
[ "77-39=38", "38/2=19", "39+19=58" ]
Current State: 58:[77, 2, 39, 39], Operations: [] Exploring Operation: 77-39=38, Resulting Numbers: [2, 38] Generated Node #2: [2, 38] from Operation: 77-39=38 Current State: 58:[2, 38], Operations: ['77-39=38'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,58 equal: Goal Reached Exploring Operation: 39+19=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 85, 36, 76, 89 ]
55
[ "89-85=4", "76/4=19", "36+19=55" ]
Current State: 55:[85, 36, 76, 89], Operations: [] Exploring Operation: 89-85=4, Resulting Numbers: [36, 76, 4] Generated Node #2: [36, 76, 4] from Operation: 89-85=4 Current State: 55:[36, 76, 4], Operations: ['89-85=4'] Exploring Operation: 76/4=19, Resulting Numbers: [36, 19] Generated Node #3: [36, 19] from Operation: 76/4=19 Current State: 55:[36, 19], Operations: ['89-85=4', '76/4=19'] Exploring Operation: 36+19=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 50, 24, 65, 58 ]
81
[ "50+24=74", "65-58=7", "74+7=81" ]
Current State: 81:[50, 24, 65, 58], Operations: [] Exploring Operation: 50+24=74, Resulting Numbers: [65, 58, 74] Generated Node #2: [65, 58, 74] from Operation: 50+24=74 Current State: 81:[65, 58, 74], Operations: ['50+24=74'] Exploring Operation: 65-58=7, Resulting Numbers: [74, 7] Generated Node #3: [74, 7] from Operation: 65-58=7 Current State: 81:[74, 7], Operations: ['50+24=74', '65-58=7'] Exploring Operation: 74+7=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 7, 13, 41, 12 ]
16
[ "41-13=28", "28/7=4", "12+4=16" ]
Current State: 16:[7, 13, 41, 12], Operations: [] Exploring Operation: 41-13=28, Resulting Numbers: [7, 12, 28] Generated Node #2: [7, 12, 28] from Operation: 41-13=28 Current State: 16:[7, 12, 28], Operations: ['41-13=28'] Exploring Operation: 28/7=4, Resulting Numbers: [12, 4] Generated Node #3: [12, 4] from Operation: 28/7=4 Current State: 16:[12, 4], Operations: ['41-13=28', '28/7=4'] Exploring Operation: 12+4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 35, 55, 75, 66 ]
33
[ "35+75=110", "55*66=3630", "3630/110=33" ]
Current State: 33:[35, 55, 75, 66], Operations: [] Exploring Operation: 35+75=110, Resulting Numbers: [55, 66, 110] Generated Node #2: [55, 66, 110] from Operation: 35+75=110 Current State: 33:[55, 66, 110], Operations: ['35+75=110'] Exploring Operation: 55*66=3630, Resulting Numbers: [110, 3630] Generated Node #3: [110, 3630] from Operation: 55*66=3630 Current State: 33:[110, 3630], Operations: ['35+75=110', '55*66=3630'] Exploring Operation: 3630/110=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 14, 52, 47, 62 ]
23
[ "52-14=38", "62-47=15", "38-15=23" ]
Current State: 23:[14, 52, 47, 62], Operations: [] Exploring Operation: 52-14=38, Resulting Numbers: [47, 62, 38] Generated Node #2: [47, 62, 38] from Operation: 52-14=38 Current State: 23:[47, 62, 38], Operations: ['52-14=38'] Exploring Operation: 62-47=15, Resulting Numbers: [38, 15] Generated Node #3: [38, 15] from Operation: 62-47=15 Current State: 23:[38, 15], Operations: ['52-14=38', '62-47=15'] Exploring Operation: 38-15=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 34, 96, 38, 31 ]
36
[ "96-34=62", "62/31=2", "38-2=36" ]
Current State: 36:[34, 96, 38, 31], Operations: [] Exploring Operation: 96-34=62, Resulting Numbers: [38, 31, 62] Generated Node #2: [38, 31, 62] from Operation: 96-34=62 Current State: 36:[38, 31, 62], Operations: ['96-34=62'] Exploring Operation: 62/31=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 62/31=2 Current State: 36:[38, 2], Operations: ['96-34=62', '62/31=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 89, 2, 25, 78 ]
46
[ "89-25=64", "64/2=32", "78-32=46" ]
Current State: 46:[89, 2, 25, 78], Operations: [] Exploring Operation: 89-25=64, Resulting Numbers: [2, 78, 64] Generated Node #2: [2, 78, 64] from Operation: 89-25=64 Current State: 46:[2, 78, 64], Operations: ['89-25=64'] Exploring Operation: 64/2=32, Resulting Numbers: [78, 32] Generated Node #3: [78, 32] from Operation: 64/2=32 Current State: 46:[78, 32], Operations: ['89-25=64', '64/2=32'] Exploring Operation: 78-32=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 20, 64, 72, 28 ]
18
[ "64-28=36", "72/36=2", "20-2=18" ]
Current State: 18:[20, 64, 72, 28], Operations: [] Exploring Operation: 64-28=36, Resulting Numbers: [20, 72, 36] Generated Node #2: [20, 72, 36] from Operation: 64-28=36 Current State: 18:[20, 72, 36], Operations: ['64-28=36'] Exploring Operation: 72/36=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 72/36=2 Current State: 18:[20, 2], Operations: ['64-28=36', '72/36=2'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 73, 26, 60, 3 ]
93
[ "73+26=99", "99/3=33", "60+33=93" ]
Current State: 93:[73, 26, 60, 3], Operations: [] Exploring Operation: 73+26=99, Resulting Numbers: [60, 3, 99] Generated Node #2: [60, 3, 99] from Operation: 73+26=99 Current State: 93:[60, 3, 99], Operations: ['73+26=99'] Exploring Operation: 99/3=33, Resulting Numbers: [60, 33] Generated Node #3: [60, 33] from Operation: 99/3=33 Current State: 93:[60, 33], Operations: ['73+26=99', '99/3=33'] Exploring Operation: 60+33=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 28, 63, 34, 32 ]
77
[ "34-32=2", "28/2=14", "63+14=77" ]
Current State: 77:[28, 63, 34, 32], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [28, 63, 2] Generated Node #2: [28, 63, 2] from Operation: 34-32=2 Current State: 77:[28, 63, 2], Operations: ['34-32=2'] Exploring Operation: 28/2=14, Resulting Numbers: [63, 14] Generated Node #3: [63, 14] from Operation: 28/2=14 Current State: 77:[63, 14], Operations: ['34-32=2', '28/2=14'] Exploring Operation: 63+14=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 82, 51, 34, 59 ]
40
[ "82+51=133", "34+59=93", "133-93=40" ]
Current State: 40:[82, 51, 34, 59], Operations: [] Exploring Operation: 82+51=133, Resulting Numbers: [34, 59, 133] Generated Node #2: [34, 59, 133] from Operation: 82+51=133 Current State: 40:[34, 59, 133], Operations: ['82+51=133'] Exploring Operation: 34+59=93, Resulting Numbers: [133, 93] Generated Node #3: [133, 93] from Operation: 34+59=93 Current State: 40:[133, 93], Operations: ['82+51=133', '34+59=93'] Exploring Operation: 133-93=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 74, 63, 44, 44 ]
48
[ "74-63=11", "44/11=4", "44+4=48" ]
Current State: 48:[74, 63, 44, 44], Operations: [] Exploring Operation: 74-63=11, Resulting Numbers: [44, 44, 11] Generated Node #2: [44, 44, 11] from Operation: 74-63=11 Current State: 48:[44, 44, 11], Operations: ['74-63=11'] Exploring Operation: 44/11=4, Resulting Numbers: [4] 4,48 equal: Goal Reached Exploring Operation: 44+4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 83, 89, 30, 18 ]
10
[ "89-83=6", "30*6=180", "180/18=10" ]
Current State: 10:[83, 89, 30, 18], Operations: [] Exploring Operation: 89-83=6, Resulting Numbers: [30, 18, 6] Generated Node #2: [30, 18, 6] from Operation: 89-83=6 Current State: 10:[30, 18, 6], Operations: ['89-83=6'] Exploring Operation: 30*6=180, Resulting Numbers: [18, 180] Generated Node #3: [18, 180] from Operation: 30*6=180 Current State: 10:[18, 180], Operations: ['89-83=6', '30*6=180'] Exploring Operation: 180/18=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 71, 11, 20, 77 ]
44
[ "71-20=51", "77/11=7", "51-7=44" ]
Current State: 44:[71, 11, 20, 77], Operations: [] Exploring Operation: 71-20=51, Resulting Numbers: [11, 77, 51] Generated Node #2: [11, 77, 51] from Operation: 71-20=51 Current State: 44:[11, 77, 51], Operations: ['71-20=51'] Exploring Operation: 77/11=7, Resulting Numbers: [51, 7] Generated Node #3: [51, 7] from Operation: 77/11=7 Current State: 44:[51, 7], Operations: ['71-20=51', '77/11=7'] Exploring Operation: 51-7=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 59, 21, 17, 51 ]
53
[ "59-17=42", "42/21=2", "51+2=53" ]
Current State: 53:[59, 21, 17, 51], Operations: [] Exploring Operation: 59-17=42, Resulting Numbers: [21, 51, 42] Generated Node #2: [21, 51, 42] from Operation: 59-17=42 Current State: 53:[21, 51, 42], Operations: ['59-17=42'] Exploring Operation: 42/21=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 42/21=2 Current State: 53:[51, 2], Operations: ['59-17=42', '42/21=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 92, 93, 16, 36 ]
52
[ "93-92=1", "16+36=52", "1*52=52" ]
Current State: 52:[92, 93, 16, 36], Operations: [] Exploring Operation: 93-92=1, Resulting Numbers: [16, 36, 1] Generated Node #2: [16, 36, 1] from Operation: 93-92=1 Current State: 52:[16, 36, 1], Operations: ['93-92=1'] Exploring Operation: 16+36=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 16+36=52 Current State: 52:[1, 52], Operations: ['93-92=1', '16+36=52'] Exploring Operation: 1*52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 46, 27, 91, 85 ]
25
[ "46-27=19", "91-85=6", "19+6=25" ]
Current State: 25:[46, 27, 91, 85], Operations: [] Exploring Operation: 46-27=19, Resulting Numbers: [91, 85, 19] Generated Node #2: [91, 85, 19] from Operation: 46-27=19 Current State: 25:[91, 85, 19], Operations: ['46-27=19'] Exploring Operation: 91-85=6, Resulting Numbers: [19, 6] Generated Node #3: [19, 6] from Operation: 91-85=6 Current State: 25:[19, 6], Operations: ['46-27=19', '91-85=6'] Exploring Operation: 19+6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 24, 7, 13, 5 ]
11
[ "7+5=12", "24/12=2", "13-2=11" ]
Current State: 11:[24, 7, 13, 5], Operations: [] Exploring Operation: 7+5=12, Resulting Numbers: [24, 13, 12] Generated Node #2: [24, 13, 12] from Operation: 7+5=12 Current State: 11:[24, 13, 12], Operations: ['7+5=12'] Exploring Operation: 24/12=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 24/12=2 Current State: 11:[13, 2], Operations: ['7+5=12', '24/12=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 97, 95, 1, 79 ]
40
[ "97-95=2", "1+79=80", "80/2=40" ]
Current State: 40:[97, 95, 1, 79], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [1, 79, 2] Generated Node #2: [1, 79, 2] from Operation: 97-95=2 Current State: 40:[1, 79, 2], Operations: ['97-95=2'] Exploring Operation: 1+79=80, Resulting Numbers: [2, 80] Generated Node #3: [2, 80] from Operation: 1+79=80 Current State: 40:[2, 80], Operations: ['97-95=2', '1+79=80'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 30, 22, 21, 8 ]
29
[ "30*21=630", "8+630=638", "638/22=29" ]
Current State: 29:[30, 22, 21, 8], Operations: [] Exploring Operation: 30*21=630, Resulting Numbers: [22, 8, 630] Generated Node #2: [22, 8, 630] from Operation: 30*21=630 Current State: 29:[22, 8, 630], Operations: ['30*21=630'] Exploring Operation: 8+630=638, Resulting Numbers: [22, 638] Generated Node #3: [22, 638] from Operation: 8+630=638 Current State: 29:[22, 638], Operations: ['30*21=630', '8+630=638'] Exploring Operation: 638/22=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 20, 26, 66, 31 ]
41
[ "26-20=6", "66-31=35", "6+35=41" ]
Current State: 41:[20, 26, 66, 31], Operations: [] Exploring Operation: 26-20=6, Resulting Numbers: [66, 31, 6] Generated Node #2: [66, 31, 6] from Operation: 26-20=6 Current State: 41:[66, 31, 6], Operations: ['26-20=6'] Exploring Operation: 66-31=35, Resulting Numbers: [6, 35] Generated Node #3: [6, 35] from Operation: 66-31=35 Current State: 41:[6, 35], Operations: ['26-20=6', '66-31=35'] Exploring Operation: 6+35=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 55, 29, 58, 56 ]
54
[ "55*58=3190", "3190/29=110", "110-56=54" ]
Current State: 54:[55, 29, 58, 56], Operations: [] Exploring Operation: 55*58=3190, Resulting Numbers: [29, 56, 3190] Generated Node #2: [29, 56, 3190] from Operation: 55*58=3190 Current State: 54:[29, 56, 3190], Operations: ['55*58=3190'] Exploring Operation: 3190/29=110, Resulting Numbers: [56, 110] Generated Node #3: [56, 110] from Operation: 3190/29=110 Current State: 54:[56, 110], Operations: ['55*58=3190', '3190/29=110'] Exploring Operation: 110-56=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 93, 4, 1, 41 ]
10
[ "4-1=3", "93/3=31", "41-31=10" ]
Current State: 10:[93, 4, 1, 41], Operations: [] Exploring Operation: 4-1=3, Resulting Numbers: [93, 41, 3] Generated Node #2: [93, 41, 3] from Operation: 4-1=3 Current State: 10:[93, 41, 3], Operations: ['4-1=3'] Exploring Operation: 93/3=31, Resulting Numbers: [41, 31] Generated Node #3: [41, 31] from Operation: 93/3=31 Current State: 10:[41, 31], Operations: ['4-1=3', '93/3=31'] Exploring Operation: 41-31=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 46, 6, 85, 37 ]
70
[ "46+6=52", "85+37=122", "122-52=70" ]
Current State: 70:[46, 6, 85, 37], Operations: [] Exploring Operation: 46+6=52, Resulting Numbers: [85, 37, 52] Generated Node #2: [85, 37, 52] from Operation: 46+6=52 Current State: 70:[85, 37, 52], Operations: ['46+6=52'] Exploring Operation: 85+37=122, Resulting Numbers: [52, 122] Generated Node #3: [52, 122] from Operation: 85+37=122 Current State: 70:[52, 122], Operations: ['46+6=52', '85+37=122'] Exploring Operation: 122-52=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 84, 32, 13, 19 ]
37
[ "84-19=65", "65/13=5", "32+5=37" ]
Current State: 37:[84, 32, 13, 19], Operations: [] Exploring Operation: 84-19=65, Resulting Numbers: [32, 13, 65] Generated Node #2: [32, 13, 65] from Operation: 84-19=65 Current State: 37:[32, 13, 65], Operations: ['84-19=65'] Exploring Operation: 65/13=5, Resulting Numbers: [32, 5] Generated Node #3: [32, 5] from Operation: 65/13=5 Current State: 37:[32, 5], Operations: ['84-19=65', '65/13=5'] Exploring Operation: 32+5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 20, 54, 30, 53 ]
89
[ "20*54=1080", "1080/30=36", "53+36=89" ]
Current State: 89:[20, 54, 30, 53], Operations: [] Exploring Operation: 20*54=1080, Resulting Numbers: [30, 53, 1080] Generated Node #2: [30, 53, 1080] from Operation: 20*54=1080 Current State: 89:[30, 53, 1080], Operations: ['20*54=1080'] Exploring Operation: 1080/30=36, Resulting Numbers: [53, 36] Generated Node #3: [53, 36] from Operation: 1080/30=36 Current State: 89:[53, 36], Operations: ['20*54=1080', '1080/30=36'] Exploring Operation: 53+36=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 39, 42, 3, 74 ]
73
[ "42-39=3", "3/3=1", "74-1=73" ]
Current State: 73:[39, 42, 3, 74], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [3, 74, 3] Generated Node #2: [3, 74, 3] from Operation: 42-39=3 Current State: 73:[3, 74, 3], Operations: ['42-39=3'] Exploring Operation: 3/3=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 3/3=1 Current State: 73:[74, 1], Operations: ['42-39=3', '3/3=1'] Exploring Operation: 74-1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 42, 83, 25, 11 ]
86
[ "25-11=14", "42/14=3", "83+3=86" ]
Current State: 86:[42, 83, 25, 11], Operations: [] Exploring Operation: 25-11=14, Resulting Numbers: [42, 83, 14] Generated Node #2: [42, 83, 14] from Operation: 25-11=14 Current State: 86:[42, 83, 14], Operations: ['25-11=14'] Exploring Operation: 42/14=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 42/14=3 Current State: 86:[83, 3], Operations: ['25-11=14', '42/14=3'] Exploring Operation: 83+3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 37, 70, 16, 71 ]
21
[ "37-16=21", "71-70=1", "21*1=21" ]
Current State: 21:[37, 70, 16, 71], Operations: [] Exploring Operation: 37-16=21, Resulting Numbers: [70, 71, 21] Generated Node #2: [70, 71, 21] from Operation: 37-16=21 Current State: 21:[70, 71, 21], Operations: ['37-16=21'] Exploring Operation: 71-70=1, Resulting Numbers: [21, 1] Generated Node #3: [21, 1] from Operation: 71-70=1 Current State: 21:[21, 1], Operations: ['37-16=21', '71-70=1'] Exploring Operation: 21*1=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 64, 62, 2, 34 ]
30
[ "64-62=2", "34-2=32", "32-2=30" ]
Current State: 30:[64, 62, 2, 34], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [2, 34, 2] Generated Node #2: [2, 34, 2] from Operation: 64-62=2 Current State: 30:[2, 34, 2], Operations: ['64-62=2'] Exploring Operation: 34-2=32, Resulting Numbers: [32] 32,30 equal: Goal Reached Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 70, 78, 41, 50 ]
85
[ "78+41=119", "50*119=5950", "5950/70=85" ]
Current State: 85:[70, 78, 41, 50], Operations: [] Exploring Operation: 78+41=119, Resulting Numbers: [70, 50, 119] Generated Node #2: [70, 50, 119] from Operation: 78+41=119 Current State: 85:[70, 50, 119], Operations: ['78+41=119'] Exploring Operation: 50*119=5950, Resulting Numbers: [70, 5950] Generated Node #3: [70, 5950] from Operation: 50*119=5950 Current State: 85:[70, 5950], Operations: ['78+41=119', '50*119=5950'] Exploring Operation: 5950/70=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 79, 4, 71, 28 ]
40
[ "79+4=83", "71-28=43", "83-43=40" ]
Current State: 40:[79, 4, 71, 28], Operations: [] Exploring Operation: 79+4=83, Resulting Numbers: [71, 28, 83] Generated Node #2: [71, 28, 83] from Operation: 79+4=83 Current State: 40:[71, 28, 83], Operations: ['79+4=83'] Exploring Operation: 71-28=43, Resulting Numbers: [83, 43] Generated Node #3: [83, 43] from Operation: 71-28=43 Current State: 40:[83, 43], Operations: ['79+4=83', '71-28=43'] Exploring Operation: 83-43=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 11, 71, 71, 61 ]
70
[ "71-11=60", "71-61=10", "60+10=70" ]
Current State: 70:[11, 71, 71, 61], Operations: [] Exploring Operation: 71-11=60, Resulting Numbers: [61, 60] Generated Node #2: [61, 60] from Operation: 71-11=60 Current State: 70:[61, 60], Operations: ['71-11=60'] Exploring Operation: 71-61=10, Resulting Numbers: [60, 10] Generated Node #3: [60, 10] from Operation: 71-61=10 Current State: 70:[60, 10], Operations: ['71-11=60', '71-61=10'] Exploring Operation: 60+10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 5, 69, 34, 77 ]
37
[ "5+69=74", "34+77=111", "111-74=37" ]
Current State: 37:[5, 69, 34, 77], Operations: [] Exploring Operation: 5+69=74, Resulting Numbers: [34, 77, 74] Generated Node #2: [34, 77, 74] from Operation: 5+69=74 Current State: 37:[34, 77, 74], Operations: ['5+69=74'] Exploring Operation: 34+77=111, Resulting Numbers: [74, 111] Generated Node #3: [74, 111] from Operation: 34+77=111 Current State: 37:[74, 111], Operations: ['5+69=74', '34+77=111'] Exploring Operation: 111-74=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 17, 66, 93, 15 ]
29
[ "66-17=49", "93-15=78", "78-49=29" ]
Current State: 29:[17, 66, 93, 15], Operations: [] Exploring Operation: 66-17=49, Resulting Numbers: [93, 15, 49] Generated Node #2: [93, 15, 49] from Operation: 66-17=49 Current State: 29:[93, 15, 49], Operations: ['66-17=49'] Exploring Operation: 93-15=78, Resulting Numbers: [49, 78] Generated Node #3: [49, 78] from Operation: 93-15=78 Current State: 29:[49, 78], Operations: ['66-17=49', '93-15=78'] Exploring Operation: 78-49=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 68, 53, 91, 25 ]
28
[ "68+91=159", "159/53=3", "25+3=28" ]
Current State: 28:[68, 53, 91, 25], Operations: [] Exploring Operation: 68+91=159, Resulting Numbers: [53, 25, 159] Generated Node #2: [53, 25, 159] from Operation: 68+91=159 Current State: 28:[53, 25, 159], Operations: ['68+91=159'] Exploring Operation: 159/53=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 159/53=3 Current State: 28:[25, 3], Operations: ['68+91=159', '159/53=3'] Exploring Operation: 25+3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 17, 96, 15, 58 ]
40
[ "17+96=113", "15+58=73", "113-73=40" ]
Current State: 40:[17, 96, 15, 58], Operations: [] Exploring Operation: 17+96=113, Resulting Numbers: [15, 58, 113] Generated Node #2: [15, 58, 113] from Operation: 17+96=113 Current State: 40:[15, 58, 113], Operations: ['17+96=113'] Exploring Operation: 15+58=73, Resulting Numbers: [113, 73] Generated Node #3: [113, 73] from Operation: 15+58=73 Current State: 40:[113, 73], Operations: ['17+96=113', '15+58=73'] Exploring Operation: 113-73=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 88, 72, 38, 67 ]
94
[ "88*72=6336", "6336-38=6298", "6298/67=94" ]
Current State: 94:[88, 72, 38, 67], Operations: [] Exploring Operation: 88*72=6336, Resulting Numbers: [38, 67, 6336] Generated Node #2: [38, 67, 6336] from Operation: 88*72=6336 Current State: 94:[38, 67, 6336], Operations: ['88*72=6336'] Exploring Operation: 6336-38=6298, Resulting Numbers: [67, 6298] Generated Node #3: [67, 6298] from Operation: 6336-38=6298 Current State: 94:[67, 6298], Operations: ['88*72=6336', '6336-38=6298'] Exploring Operation: 6298/67=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 63, 54, 63, 56 ]
56
[ "63-63=0", "54*0=0", "56+0=56" ]
Current State: 56:[63, 54, 63, 56], Operations: [] Exploring Operation: 63-63=0, Resulting Numbers: [54, 56, 0] Generated Node #2: [54, 56, 0] from Operation: 63-63=0 Current State: 56:[54, 56, 0], Operations: ['63-63=0'] Exploring Operation: 54*0=0, Resulting Numbers: [56, 0] Generated Node #3: [56, 0] from Operation: 54*0=0 Current State: 56:[56, 0], Operations: ['63-63=0', '54*0=0'] Exploring Operation: 56+0=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4