nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 85, 79, 78, 76 ]
89
[ "85-79=6", "78/6=13", "76+13=89" ]
Current State: 89:[85, 79, 78, 76], Operations: [] Exploring Operation: 85-79=6, Resulting Numbers: [78, 76, 6] Generated Node #2: [78, 76, 6] from Operation: 85-79=6 Current State: 89:[78, 76, 6], Operations: ['85-79=6'] Exploring Operation: 78/6=13, Resulting Numbers: [76, 13] Generated Node #3: [76, 13] from Operation: 78/6=13 Current State: 89:[76, 13], Operations: ['85-79=6', '78/6=13'] Exploring Operation: 76+13=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 3, 85, 91, 27 ]
24
[ "3+85=88", "91-27=64", "88-64=24" ]
Current State: 24:[3, 85, 91, 27], Operations: [] Exploring Operation: 3+85=88, Resulting Numbers: [91, 27, 88] Generated Node #2: [91, 27, 88] from Operation: 3+85=88 Current State: 24:[91, 27, 88], Operations: ['3+85=88'] Exploring Operation: 91-27=64, Resulting Numbers: [88, 64] Generated Node #3: [88, 64] from Operation: 91-27=64 Current State: 24:[88, 64], Operations: ['3+85=88', '91-27=64'] Exploring Operation: 88-64=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 76, 5, 19, 73 ]
72
[ "76/19=4", "73-5=68", "4+68=72" ]
Current State: 72:[76, 5, 19, 73], Operations: [] Exploring Operation: 76/19=4, Resulting Numbers: [5, 73, 4] Generated Node #2: [5, 73, 4] from Operation: 76/19=4 Current State: 72:[5, 73, 4], Operations: ['76/19=4'] Exploring Operation: 73-5=68, Resulting Numbers: [4, 68] Generated Node #3: [4, 68] from Operation: 73-5=68 Current State: 72:[4, 68], Operations: ['76/19=4', '73-5=68'] Exploring Operation: 4+68=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 2, 62, 65, 79 ]
55
[ "79-65=14", "14/2=7", "62-7=55" ]
Current State: 55:[2, 62, 65, 79], Operations: [] Exploring Operation: 79-65=14, Resulting Numbers: [2, 62, 14] Generated Node #2: [2, 62, 14] from Operation: 79-65=14 Current State: 55:[2, 62, 14], Operations: ['79-65=14'] Exploring Operation: 14/2=7, Resulting Numbers: [62, 7] Generated Node #3: [62, 7] from Operation: 14/2=7 Current State: 55:[62, 7], Operations: ['79-65=14', '14/2=7'] Exploring Operation: 62-7=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 27, 17, 69, 29 ]
26
[ "29-27=2", "69-17=52", "52/2=26" ]
Current State: 26:[27, 17, 69, 29], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [17, 69, 2] Generated Node #2: [17, 69, 2] from Operation: 29-27=2 Current State: 26:[17, 69, 2], Operations: ['29-27=2'] Exploring Operation: 69-17=52, Resulting Numbers: [2, 52] Generated Node #3: [2, 52] from Operation: 69-17=52 Current State: 26:[2, 52], Operations: ['29-27=2', '69-17=52'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 44, 20, 61, 64 ]
27
[ "44-20=24", "64-61=3", "24+3=27" ]
Current State: 27:[44, 20, 61, 64], Operations: [] Exploring Operation: 44-20=24, Resulting Numbers: [61, 64, 24] Generated Node #2: [61, 64, 24] from Operation: 44-20=24 Current State: 27:[61, 64, 24], Operations: ['44-20=24'] Exploring Operation: 64-61=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 64-61=3 Current State: 27:[24, 3], Operations: ['44-20=24', '64-61=3'] Exploring Operation: 24+3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 75, 71, 93, 73 ]
16
[ "75-71=4", "93-73=20", "20-4=16" ]
Current State: 16:[75, 71, 93, 73], Operations: [] Exploring Operation: 75-71=4, Resulting Numbers: [93, 73, 4] Generated Node #2: [93, 73, 4] from Operation: 75-71=4 Current State: 16:[93, 73, 4], Operations: ['75-71=4'] Exploring Operation: 93-73=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 93-73=20 Current State: 16:[4, 20], Operations: ['75-71=4', '93-73=20'] Exploring Operation: 20-4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 54, 36, 31, 52 ]
13
[ "54-52=2", "36/2=18", "31-18=13" ]
Current State: 13:[54, 36, 31, 52], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [36, 31, 2] Generated Node #2: [36, 31, 2] from Operation: 54-52=2 Current State: 13:[36, 31, 2], Operations: ['54-52=2'] Exploring Operation: 36/2=18, Resulting Numbers: [31, 18] Generated Node #3: [31, 18] from Operation: 36/2=18 Current State: 13:[31, 18], Operations: ['54-52=2', '36/2=18'] Exploring Operation: 31-18=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 68, 80, 73, 62 ]
90
[ "73-68=5", "80-62=18", "5*18=90" ]
Current State: 90:[68, 80, 73, 62], Operations: [] Exploring Operation: 73-68=5, Resulting Numbers: [80, 62, 5] Generated Node #2: [80, 62, 5] from Operation: 73-68=5 Current State: 90:[80, 62, 5], Operations: ['73-68=5'] Exploring Operation: 80-62=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 80-62=18 Current State: 90:[5, 18], Operations: ['73-68=5', '80-62=18'] Exploring Operation: 5*18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 5, 24, 86, 35 ]
31
[ "35-24=11", "5*11=55", "86-55=31" ]
Current State: 31:[5, 24, 86, 35], Operations: [] Exploring Operation: 35-24=11, Resulting Numbers: [5, 86, 11] Generated Node #2: [5, 86, 11] from Operation: 35-24=11 Current State: 31:[5, 86, 11], Operations: ['35-24=11'] Exploring Operation: 5*11=55, Resulting Numbers: [86, 55] Generated Node #3: [86, 55] from Operation: 5*11=55 Current State: 31:[86, 55], Operations: ['35-24=11', '5*11=55'] Exploring Operation: 86-55=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 18, 25, 39, 80 ]
84
[ "18+25=43", "80-39=41", "43+41=84" ]
Current State: 84:[18, 25, 39, 80], Operations: [] Exploring Operation: 18+25=43, Resulting Numbers: [39, 80, 43] Generated Node #2: [39, 80, 43] from Operation: 18+25=43 Current State: 84:[39, 80, 43], Operations: ['18+25=43'] Exploring Operation: 80-39=41, Resulting Numbers: [43, 41] Generated Node #3: [43, 41] from Operation: 80-39=41 Current State: 84:[43, 41], Operations: ['18+25=43', '80-39=41'] Exploring Operation: 43+41=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 89, 48, 56, 85 ]
68
[ "89-85=4", "48/4=12", "56+12=68" ]
Current State: 68:[89, 48, 56, 85], Operations: [] Exploring Operation: 89-85=4, Resulting Numbers: [48, 56, 4] Generated Node #2: [48, 56, 4] from Operation: 89-85=4 Current State: 68:[48, 56, 4], Operations: ['89-85=4'] Exploring Operation: 48/4=12, Resulting Numbers: [56, 12] Generated Node #3: [56, 12] from Operation: 48/4=12 Current State: 68:[56, 12], Operations: ['89-85=4', '48/4=12'] Exploring Operation: 56+12=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 24, 9, 15, 32 ]
36
[ "15-9=6", "24/6=4", "32+4=36" ]
Current State: 36:[24, 9, 15, 32], Operations: [] Exploring Operation: 15-9=6, Resulting Numbers: [24, 32, 6] Generated Node #2: [24, 32, 6] from Operation: 15-9=6 Current State: 36:[24, 32, 6], Operations: ['15-9=6'] Exploring Operation: 24/6=4, Resulting Numbers: [32, 4] Generated Node #3: [32, 4] from Operation: 24/6=4 Current State: 36:[32, 4], Operations: ['15-9=6', '24/6=4'] Exploring Operation: 32+4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 1, 51, 36, 28 ]
60
[ "1+51=52", "36-28=8", "52+8=60" ]
Current State: 60:[1, 51, 36, 28], Operations: [] Exploring Operation: 1+51=52, Resulting Numbers: [36, 28, 52] Generated Node #2: [36, 28, 52] from Operation: 1+51=52 Current State: 60:[36, 28, 52], Operations: ['1+51=52'] Exploring Operation: 36-28=8, Resulting Numbers: [52, 8] Generated Node #3: [52, 8] from Operation: 36-28=8 Current State: 60:[52, 8], Operations: ['1+51=52', '36-28=8'] Exploring Operation: 52+8=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 8, 72, 54, 60 ]
15
[ "72/8=9", "60-54=6", "9+6=15" ]
Current State: 15:[8, 72, 54, 60], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [54, 60, 9] Generated Node #2: [54, 60, 9] from Operation: 72/8=9 Current State: 15:[54, 60, 9], Operations: ['72/8=9'] Exploring Operation: 60-54=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 60-54=6 Current State: 15:[9, 6], Operations: ['72/8=9', '60-54=6'] Exploring Operation: 9+6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 26, 60, 4, 2 ]
43
[ "26+60=86", "4-2=2", "86/2=43" ]
Current State: 43:[26, 60, 4, 2], Operations: [] Exploring Operation: 26+60=86, Resulting Numbers: [4, 2, 86] Generated Node #2: [4, 2, 86] from Operation: 26+60=86 Current State: 43:[4, 2, 86], Operations: ['26+60=86'] Exploring Operation: 4-2=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 4-2=2 Current State: 43:[86, 2], Operations: ['26+60=86', '4-2=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 71, 83, 10, 7 ]
62
[ "83+7=90", "90/10=9", "71-9=62" ]
Current State: 62:[71, 83, 10, 7], Operations: [] Exploring Operation: 83+7=90, Resulting Numbers: [71, 10, 90] Generated Node #2: [71, 10, 90] from Operation: 83+7=90 Current State: 62:[71, 10, 90], Operations: ['83+7=90'] Exploring Operation: 90/10=9, Resulting Numbers: [71, 9] Generated Node #3: [71, 9] from Operation: 90/10=9 Current State: 62:[71, 9], Operations: ['83+7=90', '90/10=9'] Exploring Operation: 71-9=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 69, 32, 64, 71 ]
32
[ "69*32=2208", "64+2208=2272", "2272/71=32" ]
Current State: 32:[69, 32, 64, 71], Operations: [] Exploring Operation: 69*32=2208, Resulting Numbers: [64, 71, 2208] Generated Node #2: [64, 71, 2208] from Operation: 69*32=2208 Current State: 32:[64, 71, 2208], Operations: ['69*32=2208'] Exploring Operation: 64+2208=2272, Resulting Numbers: [71, 2272] Generated Node #3: [71, 2272] from Operation: 64+2208=2272 Current State: 32:[71, 2272], Operations: ['69*32=2208', '64+2208=2272'] Exploring Operation: 2272/71=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 29, 22, 38, 36 ]
23
[ "29+22=51", "38+36=74", "74-51=23" ]
Current State: 23:[29, 22, 38, 36], Operations: [] Exploring Operation: 29+22=51, Resulting Numbers: [38, 36, 51] Generated Node #2: [38, 36, 51] from Operation: 29+22=51 Current State: 23:[38, 36, 51], Operations: ['29+22=51'] Exploring Operation: 38+36=74, Resulting Numbers: [51, 74] Generated Node #3: [51, 74] from Operation: 38+36=74 Current State: 23:[51, 74], Operations: ['29+22=51', '38+36=74'] Exploring Operation: 74-51=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 49, 7, 5, 14 ]
70
[ "49-14=35", "7*5=35", "35+35=70" ]
Current State: 70:[49, 7, 5, 14], Operations: [] Exploring Operation: 49-14=35, Resulting Numbers: [7, 5, 35] Generated Node #2: [7, 5, 35] from Operation: 49-14=35 Current State: 70:[7, 5, 35], Operations: ['49-14=35'] Exploring Operation: 7*5=35, Resulting Numbers: [35, 35] Generated Node #3: [35, 35] from Operation: 7*5=35 Current State: 70:[35, 35], Operations: ['49-14=35', '7*5=35'] Exploring Operation: 35+35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 6, 31, 69, 13 ]
40
[ "6*13=78", "69-31=38", "78-38=40" ]
Current State: 40:[6, 31, 69, 13], Operations: [] Exploring Operation: 6*13=78, Resulting Numbers: [31, 69, 78] Generated Node #2: [31, 69, 78] from Operation: 6*13=78 Current State: 40:[31, 69, 78], Operations: ['6*13=78'] Exploring Operation: 69-31=38, Resulting Numbers: [78, 38] Generated Node #3: [78, 38] from Operation: 69-31=38 Current State: 40:[78, 38], Operations: ['6*13=78', '69-31=38'] Exploring Operation: 78-38=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 31, 74, 63, 94 ]
73
[ "31+63=94", "94/94=1", "74-1=73" ]
Current State: 73:[31, 74, 63, 94], Operations: [] Exploring Operation: 31+63=94, Resulting Numbers: [74, 94, 94] Generated Node #2: [74, 94, 94] from Operation: 31+63=94 Current State: 73:[74, 94, 94], Operations: ['31+63=94'] Exploring Operation: 94/94=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 94/94=1 Current State: 73:[74, 1], Operations: ['31+63=94', '94/94=1'] Exploring Operation: 74-1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 75, 64, 70 ]
84
[ "75-70=5", "4*5=20", "64+20=84" ]
Current State: 84:[4, 75, 64, 70], Operations: [] Exploring Operation: 75-70=5, Resulting Numbers: [4, 64, 5] Generated Node #2: [4, 64, 5] from Operation: 75-70=5 Current State: 84:[4, 64, 5], Operations: ['75-70=5'] Exploring Operation: 4*5=20, Resulting Numbers: [64, 20] Generated Node #3: [64, 20] from Operation: 4*5=20 Current State: 84:[64, 20], Operations: ['75-70=5', '4*5=20'] Exploring Operation: 64+20=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 43, 85, 41, 6 ]
77
[ "85-43=42", "41-6=35", "42+35=77" ]
Current State: 77:[43, 85, 41, 6], Operations: [] Exploring Operation: 85-43=42, Resulting Numbers: [41, 6, 42] Generated Node #2: [41, 6, 42] from Operation: 85-43=42 Current State: 77:[41, 6, 42], Operations: ['85-43=42'] Exploring Operation: 41-6=35, Resulting Numbers: [42, 35] Generated Node #3: [42, 35] from Operation: 41-6=35 Current State: 77:[42, 35], Operations: ['85-43=42', '41-6=35'] Exploring Operation: 42+35=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 50, 94, 72, 94 ]
50
[ "94-94=0", "72*0=0", "50+0=50" ]
Current State: 50:[50, 94, 72, 94], Operations: [] Exploring Operation: 94-94=0, Resulting Numbers: [50, 72, 0] Generated Node #2: [50, 72, 0] from Operation: 94-94=0 Current State: 50:[50, 72, 0], Operations: ['94-94=0'] Exploring Operation: 72*0=0, Resulting Numbers: [50, 0] Generated Node #3: [50, 0] from Operation: 72*0=0 Current State: 50:[50, 0], Operations: ['94-94=0', '72*0=0'] Exploring Operation: 50+0=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 57, 60, 49, 22 ]
68
[ "60-57=3", "49+22=71", "71-3=68" ]
Current State: 68:[57, 60, 49, 22], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [49, 22, 3] Generated Node #2: [49, 22, 3] from Operation: 60-57=3 Current State: 68:[49, 22, 3], Operations: ['60-57=3'] Exploring Operation: 49+22=71, Resulting Numbers: [3, 71] Generated Node #3: [3, 71] from Operation: 49+22=71 Current State: 68:[3, 71], Operations: ['60-57=3', '49+22=71'] Exploring Operation: 71-3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 31, 47, 22, 80 ]
74
[ "47-31=16", "80-22=58", "16+58=74" ]
Current State: 74:[31, 47, 22, 80], Operations: [] Exploring Operation: 47-31=16, Resulting Numbers: [22, 80, 16] Generated Node #2: [22, 80, 16] from Operation: 47-31=16 Current State: 74:[22, 80, 16], Operations: ['47-31=16'] Exploring Operation: 80-22=58, Resulting Numbers: [16, 58] Generated Node #3: [16, 58] from Operation: 80-22=58 Current State: 74:[16, 58], Operations: ['47-31=16', '80-22=58'] Exploring Operation: 16+58=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 77, 44, 57, 72 ]
18
[ "77-44=33", "72-57=15", "33-15=18" ]
Current State: 18:[77, 44, 57, 72], Operations: [] Exploring Operation: 77-44=33, Resulting Numbers: [57, 72, 33] Generated Node #2: [57, 72, 33] from Operation: 77-44=33 Current State: 18:[57, 72, 33], Operations: ['77-44=33'] Exploring Operation: 72-57=15, Resulting Numbers: [33, 15] Generated Node #3: [33, 15] from Operation: 72-57=15 Current State: 18:[33, 15], Operations: ['77-44=33', '72-57=15'] Exploring Operation: 33-15=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 27, 8, 49, 50 ]
20
[ "27-8=19", "50-49=1", "19+1=20" ]
Current State: 20:[27, 8, 49, 50], Operations: [] Exploring Operation: 27-8=19, Resulting Numbers: [49, 50, 19] Generated Node #2: [49, 50, 19] from Operation: 27-8=19 Current State: 20:[49, 50, 19], Operations: ['27-8=19'] Exploring Operation: 50-49=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 50-49=1 Current State: 20:[19, 1], Operations: ['27-8=19', '50-49=1'] Exploring Operation: 19+1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 5, 32, 48, 36 ]
68
[ "36-32=4", "5*4=20", "48+20=68" ]
Current State: 68:[5, 32, 48, 36], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [5, 48, 4] Generated Node #2: [5, 48, 4] from Operation: 36-32=4 Current State: 68:[5, 48, 4], Operations: ['36-32=4'] Exploring Operation: 5*4=20, Resulting Numbers: [48, 20] Generated Node #3: [48, 20] from Operation: 5*4=20 Current State: 68:[48, 20], Operations: ['36-32=4', '5*4=20'] Exploring Operation: 48+20=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 84, 4, 74, 94 ]
34
[ "94-84=10", "4*10=40", "74-40=34" ]
Current State: 34:[84, 4, 74, 94], Operations: [] Exploring Operation: 94-84=10, Resulting Numbers: [4, 74, 10] Generated Node #2: [4, 74, 10] from Operation: 94-84=10 Current State: 34:[4, 74, 10], Operations: ['94-84=10'] Exploring Operation: 4*10=40, Resulting Numbers: [74, 40] Generated Node #3: [74, 40] from Operation: 4*10=40 Current State: 34:[74, 40], Operations: ['94-84=10', '4*10=40'] Exploring Operation: 74-40=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 97, 95, 64, 26 ]
58
[ "97-95=2", "64/2=32", "26+32=58" ]
Current State: 58:[97, 95, 64, 26], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [64, 26, 2] Generated Node #2: [64, 26, 2] from Operation: 97-95=2 Current State: 58:[64, 26, 2], Operations: ['97-95=2'] Exploring Operation: 64/2=32, Resulting Numbers: [26, 32] Generated Node #3: [26, 32] from Operation: 64/2=32 Current State: 58:[26, 32], Operations: ['97-95=2', '64/2=32'] Exploring Operation: 26+32=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 79, 12, 23, 92 ]
95
[ "79+12=91", "92/23=4", "91+4=95" ]
Current State: 95:[79, 12, 23, 92], Operations: [] Exploring Operation: 79+12=91, Resulting Numbers: [23, 92, 91] Generated Node #2: [23, 92, 91] from Operation: 79+12=91 Current State: 95:[23, 92, 91], Operations: ['79+12=91'] Exploring Operation: 92/23=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 92/23=4 Current State: 95:[91, 4], Operations: ['79+12=91', '92/23=4'] Exploring Operation: 91+4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 31, 6, 12, 45 ]
74
[ "31+45=76", "12/6=2", "76-2=74" ]
Current State: 74:[31, 6, 12, 45], Operations: [] Exploring Operation: 31+45=76, Resulting Numbers: [6, 12, 76] Generated Node #2: [6, 12, 76] from Operation: 31+45=76 Current State: 74:[6, 12, 76], Operations: ['31+45=76'] Exploring Operation: 12/6=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 12/6=2 Current State: 74:[76, 2], Operations: ['31+45=76', '12/6=2'] Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 69, 68, 2, 67 ]
65
[ "69-68=1", "67-2=65", "1*65=65" ]
Current State: 65:[69, 68, 2, 67], Operations: [] Exploring Operation: 69-68=1, Resulting Numbers: [2, 67, 1] Generated Node #2: [2, 67, 1] from Operation: 69-68=1 Current State: 65:[2, 67, 1], Operations: ['69-68=1'] Exploring Operation: 67-2=65, Resulting Numbers: [1, 65] Generated Node #3: [1, 65] from Operation: 67-2=65 Current State: 65:[1, 65], Operations: ['69-68=1', '67-2=65'] Exploring Operation: 1*65=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 99, 43, 83, 39 ]
100
[ "99-43=56", "83-39=44", "56+44=100" ]
Current State: 100:[99, 43, 83, 39], Operations: [] Exploring Operation: 99-43=56, Resulting Numbers: [83, 39, 56] Generated Node #2: [83, 39, 56] from Operation: 99-43=56 Current State: 100:[83, 39, 56], Operations: ['99-43=56'] Exploring Operation: 83-39=44, Resulting Numbers: [56, 44] Generated Node #3: [56, 44] from Operation: 83-39=44 Current State: 100:[56, 44], Operations: ['99-43=56', '83-39=44'] Exploring Operation: 56+44=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 22, 28, 21, 80 ]
38
[ "21*80=1680", "1680/28=60", "60-22=38" ]
Current State: 38:[22, 28, 21, 80], Operations: [] Exploring Operation: 21*80=1680, Resulting Numbers: [22, 28, 1680] Generated Node #2: [22, 28, 1680] from Operation: 21*80=1680 Current State: 38:[22, 28, 1680], Operations: ['21*80=1680'] Exploring Operation: 1680/28=60, Resulting Numbers: [22, 60] Generated Node #3: [22, 60] from Operation: 1680/28=60 Current State: 38:[22, 60], Operations: ['21*80=1680', '1680/28=60'] Exploring Operation: 60-22=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 52, 80, 66, 63 ]
74
[ "63-52=11", "66/11=6", "80-6=74" ]
Current State: 74:[52, 80, 66, 63], Operations: [] Exploring Operation: 63-52=11, Resulting Numbers: [80, 66, 11] Generated Node #2: [80, 66, 11] from Operation: 63-52=11 Current State: 74:[80, 66, 11], Operations: ['63-52=11'] Exploring Operation: 66/11=6, Resulting Numbers: [80, 6] Generated Node #3: [80, 6] from Operation: 66/11=6 Current State: 74:[80, 6], Operations: ['63-52=11', '66/11=6'] Exploring Operation: 80-6=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 92, 27, 27, 81 ]
96
[ "27+81=108", "108/27=4", "92+4=96" ]
Current State: 96:[92, 27, 27, 81], Operations: [] Exploring Operation: 27+81=108, Resulting Numbers: [92, 108] Generated Node #2: [92, 108] from Operation: 27+81=108 Current State: 96:[92, 108], Operations: ['27+81=108'] Exploring Operation: 108/27=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 108/27=4 Current State: 96:[92, 4], Operations: ['27+81=108', '108/27=4'] Exploring Operation: 92+4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 24, 63, 49, 37 ]
99
[ "24+63=87", "49-37=12", "87+12=99" ]
Current State: 99:[24, 63, 49, 37], Operations: [] Exploring Operation: 24+63=87, Resulting Numbers: [49, 37, 87] Generated Node #2: [49, 37, 87] from Operation: 24+63=87 Current State: 99:[49, 37, 87], Operations: ['24+63=87'] Exploring Operation: 49-37=12, Resulting Numbers: [87, 12] Generated Node #3: [87, 12] from Operation: 49-37=12 Current State: 99:[87, 12], Operations: ['24+63=87', '49-37=12'] Exploring Operation: 87+12=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 95, 30, 35, 43 ]
45
[ "95-35=60", "60/30=2", "43+2=45" ]
Current State: 45:[95, 30, 35, 43], Operations: [] Exploring Operation: 95-35=60, Resulting Numbers: [30, 43, 60] Generated Node #2: [30, 43, 60] from Operation: 95-35=60 Current State: 45:[30, 43, 60], Operations: ['95-35=60'] Exploring Operation: 60/30=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 60/30=2 Current State: 45:[43, 2], Operations: ['95-35=60', '60/30=2'] Exploring Operation: 43+2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 80, 85, 40, 3 ]
86
[ "80/40=2", "85+3=88", "88-2=86" ]
Current State: 86:[80, 85, 40, 3], Operations: [] Exploring Operation: 80/40=2, Resulting Numbers: [85, 3, 2] Generated Node #2: [85, 3, 2] from Operation: 80/40=2 Current State: 86:[85, 3, 2], Operations: ['80/40=2'] Exploring Operation: 85+3=88, Resulting Numbers: [2, 88] Generated Node #3: [2, 88] from Operation: 85+3=88 Current State: 86:[2, 88], Operations: ['80/40=2', '85+3=88'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 61, 68, 76, 80 ]
67
[ "61*76=4636", "4636-80=4556", "4556/68=67" ]
Current State: 67:[61, 68, 76, 80], Operations: [] Exploring Operation: 61*76=4636, Resulting Numbers: [68, 80, 4636] Generated Node #2: [68, 80, 4636] from Operation: 61*76=4636 Current State: 67:[68, 80, 4636], Operations: ['61*76=4636'] Exploring Operation: 4636-80=4556, Resulting Numbers: [68, 4556] Generated Node #3: [68, 4556] from Operation: 4636-80=4556 Current State: 67:[68, 4556], Operations: ['61*76=4636', '4636-80=4556'] Exploring Operation: 4556/68=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 27, 45, 6, 6 ]
60
[ "27+45=72", "6+6=12", "72-12=60" ]
Current State: 60:[27, 45, 6, 6], Operations: [] Exploring Operation: 27+45=72, Resulting Numbers: [6, 6, 72] Generated Node #2: [6, 6, 72] from Operation: 27+45=72 Current State: 60:[6, 6, 72], Operations: ['27+45=72'] Exploring Operation: 6+6=12, Resulting Numbers: [72, 12] Generated Node #3: [72, 12] from Operation: 6+6=12 Current State: 60:[72, 12], Operations: ['27+45=72', '6+6=12'] Exploring Operation: 72-12=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 46, 86, 31, 2 ]
35
[ "46+86=132", "132/2=66", "66-31=35" ]
Current State: 35:[46, 86, 31, 2], Operations: [] Exploring Operation: 46+86=132, Resulting Numbers: [31, 2, 132] Generated Node #2: [31, 2, 132] from Operation: 46+86=132 Current State: 35:[31, 2, 132], Operations: ['46+86=132'] Exploring Operation: 132/2=66, Resulting Numbers: [31, 66] Generated Node #3: [31, 66] from Operation: 132/2=66 Current State: 35:[31, 66], Operations: ['46+86=132', '132/2=66'] Exploring Operation: 66-31=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 97, 12, 1, 7 ]
25
[ "7-1=6", "12*6=72", "97-72=25" ]
Current State: 25:[97, 12, 1, 7], Operations: [] Exploring Operation: 7-1=6, Resulting Numbers: [97, 12, 6] Generated Node #2: [97, 12, 6] from Operation: 7-1=6 Current State: 25:[97, 12, 6], Operations: ['7-1=6'] Exploring Operation: 12*6=72, Resulting Numbers: [97, 72] Generated Node #3: [97, 72] from Operation: 12*6=72 Current State: 25:[97, 72], Operations: ['7-1=6', '12*6=72'] Exploring Operation: 97-72=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 22, 14, 2, 46 ]
80
[ "22+14=36", "46-2=44", "36+44=80" ]
Current State: 80:[22, 14, 2, 46], Operations: [] Exploring Operation: 22+14=36, Resulting Numbers: [2, 46, 36] Generated Node #2: [2, 46, 36] from Operation: 22+14=36 Current State: 80:[2, 46, 36], Operations: ['22+14=36'] Exploring Operation: 46-2=44, Resulting Numbers: [36, 44] Generated Node #3: [36, 44] from Operation: 46-2=44 Current State: 80:[36, 44], Operations: ['22+14=36', '46-2=44'] Exploring Operation: 36+44=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 64, 76, 58, 23 ]
59
[ "64+76=140", "58+23=81", "140-81=59" ]
Current State: 59:[64, 76, 58, 23], Operations: [] Exploring Operation: 64+76=140, Resulting Numbers: [58, 23, 140] Generated Node #2: [58, 23, 140] from Operation: 64+76=140 Current State: 59:[58, 23, 140], Operations: ['64+76=140'] Exploring Operation: 58+23=81, Resulting Numbers: [140, 81] Generated Node #3: [140, 81] from Operation: 58+23=81 Current State: 59:[140, 81], Operations: ['64+76=140', '58+23=81'] Exploring Operation: 140-81=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 55, 4, 20, 60 ]
85
[ "60-55=5", "4*20=80", "5+80=85" ]
Current State: 85:[55, 4, 20, 60], Operations: [] Exploring Operation: 60-55=5, Resulting Numbers: [4, 20, 5] Generated Node #2: [4, 20, 5] from Operation: 60-55=5 Current State: 85:[4, 20, 5], Operations: ['60-55=5'] Exploring Operation: 4*20=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 4*20=80 Current State: 85:[5, 80], Operations: ['60-55=5', '4*20=80'] Exploring Operation: 5+80=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 59, 54, 57, 58 ]
31
[ "59-57=2", "54/2=27", "58-27=31" ]
Current State: 31:[59, 54, 57, 58], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [54, 58, 2] Generated Node #2: [54, 58, 2] from Operation: 59-57=2 Current State: 31:[54, 58, 2], Operations: ['59-57=2'] Exploring Operation: 54/2=27, Resulting Numbers: [58, 27] Generated Node #3: [58, 27] from Operation: 54/2=27 Current State: 31:[58, 27], Operations: ['59-57=2', '54/2=27'] Exploring Operation: 58-27=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 23, 9, 17, 22 ]
37
[ "23+9=32", "22-17=5", "32+5=37" ]
Current State: 37:[23, 9, 17, 22], Operations: [] Exploring Operation: 23+9=32, Resulting Numbers: [17, 22, 32] Generated Node #2: [17, 22, 32] from Operation: 23+9=32 Current State: 37:[17, 22, 32], Operations: ['23+9=32'] Exploring Operation: 22-17=5, Resulting Numbers: [32, 5] Generated Node #3: [32, 5] from Operation: 22-17=5 Current State: 37:[32, 5], Operations: ['23+9=32', '22-17=5'] Exploring Operation: 32+5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 17, 15, 80, 47 ]
31
[ "17-15=2", "80-47=33", "33-2=31" ]
Current State: 31:[17, 15, 80, 47], Operations: [] Exploring Operation: 17-15=2, Resulting Numbers: [80, 47, 2] Generated Node #2: [80, 47, 2] from Operation: 17-15=2 Current State: 31:[80, 47, 2], Operations: ['17-15=2'] Exploring Operation: 80-47=33, Resulting Numbers: [2, 33] Generated Node #3: [2, 33] from Operation: 80-47=33 Current State: 31:[2, 33], Operations: ['17-15=2', '80-47=33'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 7, 95, 66, 10 ]
33
[ "95+66=161", "161/7=23", "10+23=33" ]
Current State: 33:[7, 95, 66, 10], Operations: [] Exploring Operation: 95+66=161, Resulting Numbers: [7, 10, 161] Generated Node #2: [7, 10, 161] from Operation: 95+66=161 Current State: 33:[7, 10, 161], Operations: ['95+66=161'] Exploring Operation: 161/7=23, Resulting Numbers: [10, 23] Generated Node #3: [10, 23] from Operation: 161/7=23 Current State: 33:[10, 23], Operations: ['95+66=161', '161/7=23'] Exploring Operation: 10+23=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 77, 19, 71, 74 ]
30
[ "77-74=3", "19+71=90", "90/3=30" ]
Current State: 30:[77, 19, 71, 74], Operations: [] Exploring Operation: 77-74=3, Resulting Numbers: [19, 71, 3] Generated Node #2: [19, 71, 3] from Operation: 77-74=3 Current State: 30:[19, 71, 3], Operations: ['77-74=3'] Exploring Operation: 19+71=90, Resulting Numbers: [3, 90] Generated Node #3: [3, 90] from Operation: 19+71=90 Current State: 30:[3, 90], Operations: ['77-74=3', '19+71=90'] Exploring Operation: 90/3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 63, 85, 27, 61 ]
29
[ "63-61=2", "85-27=58", "58/2=29" ]
Current State: 29:[63, 85, 27, 61], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [85, 27, 2] Generated Node #2: [85, 27, 2] from Operation: 63-61=2 Current State: 29:[85, 27, 2], Operations: ['63-61=2'] Exploring Operation: 85-27=58, Resulting Numbers: [2, 58] Generated Node #3: [2, 58] from Operation: 85-27=58 Current State: 29:[2, 58], Operations: ['63-61=2', '85-27=58'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 44, 48, 5, 73 ]
74
[ "48-44=4", "5+73=78", "78-4=74" ]
Current State: 74:[44, 48, 5, 73], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [5, 73, 4] Generated Node #2: [5, 73, 4] from Operation: 48-44=4 Current State: 74:[5, 73, 4], Operations: ['48-44=4'] Exploring Operation: 5+73=78, Resulting Numbers: [4, 78] Generated Node #3: [4, 78] from Operation: 5+73=78 Current State: 74:[4, 78], Operations: ['48-44=4', '5+73=78'] Exploring Operation: 78-4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 97, 80, 53, 87 ]
45
[ "97-87=10", "80/10=8", "53-8=45" ]
Current State: 45:[97, 80, 53, 87], Operations: [] Exploring Operation: 97-87=10, Resulting Numbers: [80, 53, 10] Generated Node #2: [80, 53, 10] from Operation: 97-87=10 Current State: 45:[80, 53, 10], Operations: ['97-87=10'] Exploring Operation: 80/10=8, Resulting Numbers: [53, 8] Generated Node #3: [53, 8] from Operation: 80/10=8 Current State: 45:[53, 8], Operations: ['97-87=10', '80/10=8'] Exploring Operation: 53-8=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 64, 74, 16, 25 ]
90
[ "74-64=10", "25-16=9", "10*9=90" ]
Current State: 90:[64, 74, 16, 25], Operations: [] Exploring Operation: 74-64=10, Resulting Numbers: [16, 25, 10] Generated Node #2: [16, 25, 10] from Operation: 74-64=10 Current State: 90:[16, 25, 10], Operations: ['74-64=10'] Exploring Operation: 25-16=9, Resulting Numbers: [10, 9] Generated Node #3: [10, 9] from Operation: 25-16=9 Current State: 90:[10, 9], Operations: ['74-64=10', '25-16=9'] Exploring Operation: 10*9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 95, 49, 52, 2 ]
75
[ "95-49=46", "46/2=23", "52+23=75" ]
Current State: 75:[95, 49, 52, 2], Operations: [] Exploring Operation: 95-49=46, Resulting Numbers: [52, 2, 46] Generated Node #2: [52, 2, 46] from Operation: 95-49=46 Current State: 75:[52, 2, 46], Operations: ['95-49=46'] Exploring Operation: 46/2=23, Resulting Numbers: [52, 23] Generated Node #3: [52, 23] from Operation: 46/2=23 Current State: 75:[52, 23], Operations: ['95-49=46', '46/2=23'] Exploring Operation: 52+23=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 96, 76, 23, 19 ]
62
[ "96-76=20", "23+19=42", "20+42=62" ]
Current State: 62:[96, 76, 23, 19], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [23, 19, 20] Generated Node #2: [23, 19, 20] from Operation: 96-76=20 Current State: 62:[23, 19, 20], Operations: ['96-76=20'] Exploring Operation: 23+19=42, Resulting Numbers: [20, 42] Generated Node #3: [20, 42] from Operation: 23+19=42 Current State: 62:[20, 42], Operations: ['96-76=20', '23+19=42'] Exploring Operation: 20+42=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 51, 24, 31, 45 ]
54
[ "51-31=20", "24*45=1080", "1080/20=54" ]
Current State: 54:[51, 24, 31, 45], Operations: [] Exploring Operation: 51-31=20, Resulting Numbers: [24, 45, 20] Generated Node #2: [24, 45, 20] from Operation: 51-31=20 Current State: 54:[24, 45, 20], Operations: ['51-31=20'] Exploring Operation: 24*45=1080, Resulting Numbers: [20, 1080] Generated Node #3: [20, 1080] from Operation: 24*45=1080 Current State: 54:[20, 1080], Operations: ['51-31=20', '24*45=1080'] Exploring Operation: 1080/20=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 3, 3, 32, 76 ]
29
[ "3+32=35", "3*35=105", "105-76=29" ]
Current State: 29:[3, 3, 32, 76], Operations: [] Exploring Operation: 3+32=35, Resulting Numbers: [76, 35] Generated Node #2: [76, 35] from Operation: 3+32=35 Current State: 29:[76, 35], Operations: ['3+32=35'] Exploring Operation: 3*35=105, Resulting Numbers: [76, 105] Generated Node #3: [76, 105] from Operation: 3*35=105 Current State: 29:[76, 105], Operations: ['3+32=35', '3*35=105'] Exploring Operation: 105-76=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 48, 9, 90, 20 ]
71
[ "48-9=39", "90+20=110", "110-39=71" ]
Current State: 71:[48, 9, 90, 20], Operations: [] Exploring Operation: 48-9=39, Resulting Numbers: [90, 20, 39] Generated Node #2: [90, 20, 39] from Operation: 48-9=39 Current State: 71:[90, 20, 39], Operations: ['48-9=39'] Exploring Operation: 90+20=110, Resulting Numbers: [39, 110] Generated Node #3: [39, 110] from Operation: 90+20=110 Current State: 71:[39, 110], Operations: ['48-9=39', '90+20=110'] Exploring Operation: 110-39=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 36, 86, 50, 47 ]
48
[ "86-36=50", "50/50=1", "47+1=48" ]
Current State: 48:[36, 86, 50, 47], Operations: [] Exploring Operation: 86-36=50, Resulting Numbers: [50, 47, 50] Generated Node #2: [50, 47, 50] from Operation: 86-36=50 Current State: 48:[50, 47, 50], Operations: ['86-36=50'] Exploring Operation: 50/50=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 50/50=1 Current State: 48:[47, 1], Operations: ['86-36=50', '50/50=1'] Exploring Operation: 47+1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 51, 99, 85, 74 ]
37
[ "99-51=48", "85-74=11", "48-11=37" ]
Current State: 37:[51, 99, 85, 74], Operations: [] Exploring Operation: 99-51=48, Resulting Numbers: [85, 74, 48] Generated Node #2: [85, 74, 48] from Operation: 99-51=48 Current State: 37:[85, 74, 48], Operations: ['99-51=48'] Exploring Operation: 85-74=11, Resulting Numbers: [48, 11] Generated Node #3: [48, 11] from Operation: 85-74=11 Current State: 37:[48, 11], Operations: ['99-51=48', '85-74=11'] Exploring Operation: 48-11=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 97, 35, 28, 25 ]
78
[ "35-28=7", "25*7=175", "175-97=78" ]
Current State: 78:[97, 35, 28, 25], Operations: [] Exploring Operation: 35-28=7, Resulting Numbers: [97, 25, 7] Generated Node #2: [97, 25, 7] from Operation: 35-28=7 Current State: 78:[97, 25, 7], Operations: ['35-28=7'] Exploring Operation: 25*7=175, Resulting Numbers: [97, 175] Generated Node #3: [97, 175] from Operation: 25*7=175 Current State: 78:[97, 175], Operations: ['35-28=7', '25*7=175'] Exploring Operation: 175-97=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 3, 27, 63, 90 ]
57
[ "3+27=30", "90-63=27", "30+27=57" ]
Current State: 57:[3, 27, 63, 90], Operations: [] Exploring Operation: 3+27=30, Resulting Numbers: [63, 90, 30] Generated Node #2: [63, 90, 30] from Operation: 3+27=30 Current State: 57:[63, 90, 30], Operations: ['3+27=30'] Exploring Operation: 90-63=27, Resulting Numbers: [30, 27] Generated Node #3: [30, 27] from Operation: 90-63=27 Current State: 57:[30, 27], Operations: ['3+27=30', '90-63=27'] Exploring Operation: 30+27=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 53, 77, 26, 90 ]
55
[ "90-77=13", "26/13=2", "53+2=55" ]
Current State: 55:[53, 77, 26, 90], Operations: [] Exploring Operation: 90-77=13, Resulting Numbers: [53, 26, 13] Generated Node #2: [53, 26, 13] from Operation: 90-77=13 Current State: 55:[53, 26, 13], Operations: ['90-77=13'] Exploring Operation: 26/13=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 26/13=2 Current State: 55:[53, 2], Operations: ['90-77=13', '26/13=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 58, 37, 62, 5 ]
81
[ "58+37=95", "95/5=19", "62+19=81" ]
Current State: 81:[58, 37, 62, 5], Operations: [] Exploring Operation: 58+37=95, Resulting Numbers: [62, 5, 95] Generated Node #2: [62, 5, 95] from Operation: 58+37=95 Current State: 81:[62, 5, 95], Operations: ['58+37=95'] Exploring Operation: 95/5=19, Resulting Numbers: [62, 19] Generated Node #3: [62, 19] from Operation: 95/5=19 Current State: 81:[62, 19], Operations: ['58+37=95', '95/5=19'] Exploring Operation: 62+19=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 39, 26, 39, 81 ]
84
[ "39-26=13", "39/13=3", "81+3=84" ]
Current State: 84:[39, 26, 39, 81], Operations: [] Exploring Operation: 39-26=13, Resulting Numbers: [81, 13] Generated Node #2: [81, 13] from Operation: 39-26=13 Current State: 84:[81, 13], Operations: ['39-26=13'] Exploring Operation: 39/13=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 39/13=3 Current State: 84:[81, 3], Operations: ['39-26=13', '39/13=3'] Exploring Operation: 81+3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 26, 37, 26, 88 ]
88
[ "26-26=0", "37*0=0", "88+0=88" ]
Current State: 88:[26, 37, 26, 88], Operations: [] Exploring Operation: 26-26=0, Resulting Numbers: [37, 88, 0] Generated Node #2: [37, 88, 0] from Operation: 26-26=0 Current State: 88:[37, 88, 0], Operations: ['26-26=0'] Exploring Operation: 37*0=0, Resulting Numbers: [88, 0] Generated Node #3: [88, 0] from Operation: 37*0=0 Current State: 88:[88, 0], Operations: ['26-26=0', '37*0=0'] Exploring Operation: 88+0=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 63, 21, 48, 79 ]
73
[ "63-21=42", "79-48=31", "42+31=73" ]
Current State: 73:[63, 21, 48, 79], Operations: [] Exploring Operation: 63-21=42, Resulting Numbers: [48, 79, 42] Generated Node #2: [48, 79, 42] from Operation: 63-21=42 Current State: 73:[48, 79, 42], Operations: ['63-21=42'] Exploring Operation: 79-48=31, Resulting Numbers: [42, 31] Generated Node #3: [42, 31] from Operation: 79-48=31 Current State: 73:[42, 31], Operations: ['63-21=42', '79-48=31'] Exploring Operation: 42+31=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 28, 26, 98, 52 ]
42
[ "28*52=1456", "1456/26=56", "98-56=42" ]
Current State: 42:[28, 26, 98, 52], Operations: [] Exploring Operation: 28*52=1456, Resulting Numbers: [26, 98, 1456] Generated Node #2: [26, 98, 1456] from Operation: 28*52=1456 Current State: 42:[26, 98, 1456], Operations: ['28*52=1456'] Exploring Operation: 1456/26=56, Resulting Numbers: [98, 56] Generated Node #3: [98, 56] from Operation: 1456/26=56 Current State: 42:[98, 56], Operations: ['28*52=1456', '1456/26=56'] Exploring Operation: 98-56=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 2, 31, 35, 95 ]
89
[ "31-2=29", "95-35=60", "29+60=89" ]
Current State: 89:[2, 31, 35, 95], Operations: [] Exploring Operation: 31-2=29, Resulting Numbers: [35, 95, 29] Generated Node #2: [35, 95, 29] from Operation: 31-2=29 Current State: 89:[35, 95, 29], Operations: ['31-2=29'] Exploring Operation: 95-35=60, Resulting Numbers: [29, 60] Generated Node #3: [29, 60] from Operation: 95-35=60 Current State: 89:[29, 60], Operations: ['31-2=29', '95-35=60'] Exploring Operation: 29+60=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 5, 68, 23, 45 ]
92
[ "5*23=115", "68-45=23", "115-23=92" ]
Current State: 92:[5, 68, 23, 45], Operations: [] Exploring Operation: 5*23=115, Resulting Numbers: [68, 45, 115] Generated Node #2: [68, 45, 115] from Operation: 5*23=115 Current State: 92:[68, 45, 115], Operations: ['5*23=115'] Exploring Operation: 68-45=23, Resulting Numbers: [115, 23] Generated Node #3: [115, 23] from Operation: 68-45=23 Current State: 92:[115, 23], Operations: ['5*23=115', '68-45=23'] Exploring Operation: 115-23=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 91, 25, 4, 60 ]
10
[ "91-25=66", "60-4=56", "66-56=10" ]
Current State: 10:[91, 25, 4, 60], Operations: [] Exploring Operation: 91-25=66, Resulting Numbers: [4, 60, 66] Generated Node #2: [4, 60, 66] from Operation: 91-25=66 Current State: 10:[4, 60, 66], Operations: ['91-25=66'] Exploring Operation: 60-4=56, Resulting Numbers: [66, 56] Generated Node #3: [66, 56] from Operation: 60-4=56 Current State: 10:[66, 56], Operations: ['91-25=66', '60-4=56'] Exploring Operation: 66-56=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 26, 45, 3, 93 ]
16
[ "26+93=119", "45*3=135", "135-119=16" ]
Current State: 16:[26, 45, 3, 93], Operations: [] Exploring Operation: 26+93=119, Resulting Numbers: [45, 3, 119] Generated Node #2: [45, 3, 119] from Operation: 26+93=119 Current State: 16:[45, 3, 119], Operations: ['26+93=119'] Exploring Operation: 45*3=135, Resulting Numbers: [119, 135] Generated Node #3: [119, 135] from Operation: 45*3=135 Current State: 16:[119, 135], Operations: ['26+93=119', '45*3=135'] Exploring Operation: 135-119=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 38, 57, 39, 53 ]
73
[ "57-38=19", "39+53=92", "92-19=73" ]
Current State: 73:[38, 57, 39, 53], Operations: [] Exploring Operation: 57-38=19, Resulting Numbers: [39, 53, 19] Generated Node #2: [39, 53, 19] from Operation: 57-38=19 Current State: 73:[39, 53, 19], Operations: ['57-38=19'] Exploring Operation: 39+53=92, Resulting Numbers: [19, 92] Generated Node #3: [19, 92] from Operation: 39+53=92 Current State: 73:[19, 92], Operations: ['57-38=19', '39+53=92'] Exploring Operation: 92-19=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 43, 28, 43, 91 ]
63
[ "43+28=71", "43+91=134", "134-71=63" ]
Current State: 63:[43, 28, 43, 91], Operations: [] Exploring Operation: 43+28=71, Resulting Numbers: [91, 71] Generated Node #2: [91, 71] from Operation: 43+28=71 Current State: 63:[91, 71], Operations: ['43+28=71'] Exploring Operation: 43+91=134, Resulting Numbers: [71, 134] Generated Node #3: [71, 134] from Operation: 43+91=134 Current State: 63:[71, 134], Operations: ['43+28=71', '43+91=134'] Exploring Operation: 134-71=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 15, 44, 70, 84 ]
95
[ "15+44=59", "70+84=154", "154-59=95" ]
Current State: 95:[15, 44, 70, 84], Operations: [] Exploring Operation: 15+44=59, Resulting Numbers: [70, 84, 59] Generated Node #2: [70, 84, 59] from Operation: 15+44=59 Current State: 95:[70, 84, 59], Operations: ['15+44=59'] Exploring Operation: 70+84=154, Resulting Numbers: [59, 154] Generated Node #3: [59, 154] from Operation: 70+84=154 Current State: 95:[59, 154], Operations: ['15+44=59', '70+84=154'] Exploring Operation: 154-59=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 41, 56, 33, 25 ]
32
[ "41-33=8", "56/8=7", "25+7=32" ]
Current State: 32:[41, 56, 33, 25], Operations: [] Exploring Operation: 41-33=8, Resulting Numbers: [56, 25, 8] Generated Node #2: [56, 25, 8] from Operation: 41-33=8 Current State: 32:[56, 25, 8], Operations: ['41-33=8'] Exploring Operation: 56/8=7, Resulting Numbers: [25, 7] Generated Node #3: [25, 7] from Operation: 56/8=7 Current State: 32:[25, 7], Operations: ['41-33=8', '56/8=7'] Exploring Operation: 25+7=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 34, 33, 38, 5 ]
53
[ "38-34=4", "5*4=20", "33+20=53" ]
Current State: 53:[34, 33, 38, 5], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [33, 5, 4] Generated Node #2: [33, 5, 4] from Operation: 38-34=4 Current State: 53:[33, 5, 4], Operations: ['38-34=4'] Exploring Operation: 5*4=20, Resulting Numbers: [33, 20] Generated Node #3: [33, 20] from Operation: 5*4=20 Current State: 53:[33, 20], Operations: ['38-34=4', '5*4=20'] Exploring Operation: 33+20=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 53, 66, 2, 19 ]
98
[ "53+66=119", "2+19=21", "119-21=98" ]
Current State: 98:[53, 66, 2, 19], Operations: [] Exploring Operation: 53+66=119, Resulting Numbers: [2, 19, 119] Generated Node #2: [2, 19, 119] from Operation: 53+66=119 Current State: 98:[2, 19, 119], Operations: ['53+66=119'] Exploring Operation: 2+19=21, Resulting Numbers: [119, 21] Generated Node #3: [119, 21] from Operation: 2+19=21 Current State: 98:[119, 21], Operations: ['53+66=119', '2+19=21'] Exploring Operation: 119-21=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 96, 2, 46, 6 ]
19
[ "96-46=50", "50/2=25", "25-6=19" ]
Current State: 19:[96, 2, 46, 6], Operations: [] Exploring Operation: 96-46=50, Resulting Numbers: [2, 6, 50] Generated Node #2: [2, 6, 50] from Operation: 96-46=50 Current State: 19:[2, 6, 50], Operations: ['96-46=50'] Exploring Operation: 50/2=25, Resulting Numbers: [6, 25] Generated Node #3: [6, 25] from Operation: 50/2=25 Current State: 19:[6, 25], Operations: ['96-46=50', '50/2=25'] Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 58, 37, 10, 93 ]
71
[ "37+93=130", "130/10=13", "58+13=71" ]
Current State: 71:[58, 37, 10, 93], Operations: [] Exploring Operation: 37+93=130, Resulting Numbers: [58, 10, 130] Generated Node #2: [58, 10, 130] from Operation: 37+93=130 Current State: 71:[58, 10, 130], Operations: ['37+93=130'] Exploring Operation: 130/10=13, Resulting Numbers: [58, 13] Generated Node #3: [58, 13] from Operation: 130/10=13 Current State: 71:[58, 13], Operations: ['37+93=130', '130/10=13'] Exploring Operation: 58+13=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 85, 74, 65, 94 ]
40
[ "85-74=11", "94-65=29", "11+29=40" ]
Current State: 40:[85, 74, 65, 94], Operations: [] Exploring Operation: 85-74=11, Resulting Numbers: [65, 94, 11] Generated Node #2: [65, 94, 11] from Operation: 85-74=11 Current State: 40:[65, 94, 11], Operations: ['85-74=11'] Exploring Operation: 94-65=29, Resulting Numbers: [11, 29] Generated Node #3: [11, 29] from Operation: 94-65=29 Current State: 40:[11, 29], Operations: ['85-74=11', '94-65=29'] Exploring Operation: 11+29=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 38, 32, 72, 35 ]
32
[ "72-38=34", "35-34=1", "32*1=32" ]
Current State: 32:[38, 32, 72, 35], Operations: [] Exploring Operation: 72-38=34, Resulting Numbers: [32, 35, 34] Generated Node #2: [32, 35, 34] from Operation: 72-38=34 Current State: 32:[32, 35, 34], Operations: ['72-38=34'] Exploring Operation: 35-34=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 35-34=1 Current State: 32:[32, 1], Operations: ['72-38=34', '35-34=1'] Exploring Operation: 32*1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 75, 21, 45, 75 ]
45
[ "75-75=0", "21*0=0", "45+0=45" ]
Current State: 45:[75, 21, 45, 75], Operations: [] Exploring Operation: 75-75=0, Resulting Numbers: [21, 45, 0] Generated Node #2: [21, 45, 0] from Operation: 75-75=0 Current State: 45:[21, 45, 0], Operations: ['75-75=0'] Exploring Operation: 21*0=0, Resulting Numbers: [45, 0] Generated Node #3: [45, 0] from Operation: 21*0=0 Current State: 45:[45, 0], Operations: ['75-75=0', '21*0=0'] Exploring Operation: 45+0=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 72, 90, 9, 2 ]
28
[ "90*2=180", "72+180=252", "252/9=28" ]
Current State: 28:[72, 90, 9, 2], Operations: [] Exploring Operation: 90*2=180, Resulting Numbers: [72, 9, 180] Generated Node #2: [72, 9, 180] from Operation: 90*2=180 Current State: 28:[72, 9, 180], Operations: ['90*2=180'] Exploring Operation: 72+180=252, Resulting Numbers: [9, 252] Generated Node #3: [9, 252] from Operation: 72+180=252 Current State: 28:[9, 252], Operations: ['90*2=180', '72+180=252'] Exploring Operation: 252/9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 79, 21, 23, 10 ]
25
[ "79-21=58", "23+10=33", "58-33=25" ]
Current State: 25:[79, 21, 23, 10], Operations: [] Exploring Operation: 79-21=58, Resulting Numbers: [23, 10, 58] Generated Node #2: [23, 10, 58] from Operation: 79-21=58 Current State: 25:[23, 10, 58], Operations: ['79-21=58'] Exploring Operation: 23+10=33, Resulting Numbers: [58, 33] Generated Node #3: [58, 33] from Operation: 23+10=33 Current State: 25:[58, 33], Operations: ['79-21=58', '23+10=33'] Exploring Operation: 58-33=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 40, 68, 27, 59 ]
85
[ "40*68=2720", "59-27=32", "2720/32=85" ]
Current State: 85:[40, 68, 27, 59], Operations: [] Exploring Operation: 40*68=2720, Resulting Numbers: [27, 59, 2720] Generated Node #2: [27, 59, 2720] from Operation: 40*68=2720 Current State: 85:[27, 59, 2720], Operations: ['40*68=2720'] Exploring Operation: 59-27=32, Resulting Numbers: [2720, 32] Generated Node #3: [2720, 32] from Operation: 59-27=32 Current State: 85:[2720, 32], Operations: ['40*68=2720', '59-27=32'] Exploring Operation: 2720/32=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 54, 54, 81, 25 ]
55
[ "54/54=1", "81-25=56", "56-1=55" ]
Current State: 55:[54, 54, 81, 25], Operations: [] Exploring Operation: 54/54=1, Resulting Numbers: [81, 25, 1] Generated Node #2: [81, 25, 1] from Operation: 54/54=1 Current State: 55:[81, 25, 1], Operations: ['54/54=1'] Exploring Operation: 81-25=56, Resulting Numbers: [1, 56] Generated Node #3: [1, 56] from Operation: 81-25=56 Current State: 55:[1, 56], Operations: ['54/54=1', '81-25=56'] Exploring Operation: 56-1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 50, 9, 56, 16 ]
58
[ "9+16=25", "50/25=2", "56+2=58" ]
Current State: 58:[50, 9, 56, 16], Operations: [] Exploring Operation: 9+16=25, Resulting Numbers: [50, 56, 25] Generated Node #2: [50, 56, 25] from Operation: 9+16=25 Current State: 58:[50, 56, 25], Operations: ['9+16=25'] Exploring Operation: 50/25=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 50/25=2 Current State: 58:[56, 2], Operations: ['9+16=25', '50/25=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 49, 6, 88, 90 ]
92
[ "90-88=2", "49*2=98", "98-6=92" ]
Current State: 92:[49, 6, 88, 90], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [49, 6, 2] Generated Node #2: [49, 6, 2] from Operation: 90-88=2 Current State: 92:[49, 6, 2], Operations: ['90-88=2'] Exploring Operation: 49*2=98, Resulting Numbers: [6, 98] Generated Node #3: [6, 98] from Operation: 49*2=98 Current State: 92:[6, 98], Operations: ['90-88=2', '49*2=98'] Exploring Operation: 98-6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 24, 49, 54, 66 ]
18
[ "24+66=90", "54-49=5", "90/5=18" ]
Current State: 18:[24, 49, 54, 66], Operations: [] Exploring Operation: 24+66=90, Resulting Numbers: [49, 54, 90] Generated Node #2: [49, 54, 90] from Operation: 24+66=90 Current State: 18:[49, 54, 90], Operations: ['24+66=90'] Exploring Operation: 54-49=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 54-49=5 Current State: 18:[90, 5], Operations: ['24+66=90', '54-49=5'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 7, 28, 67, 49 ]
15
[ "7*67=469", "469-49=420", "420/28=15" ]
Current State: 15:[7, 28, 67, 49], Operations: [] Exploring Operation: 7*67=469, Resulting Numbers: [28, 49, 469] Generated Node #2: [28, 49, 469] from Operation: 7*67=469 Current State: 15:[28, 49, 469], Operations: ['7*67=469'] Exploring Operation: 469-49=420, Resulting Numbers: [28, 420] Generated Node #3: [28, 420] from Operation: 469-49=420 Current State: 15:[28, 420], Operations: ['7*67=469', '469-49=420'] Exploring Operation: 420/28=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 39, 71, 53, 56 ]
96
[ "71-39=32", "56-53=3", "32*3=96" ]
Current State: 96:[39, 71, 53, 56], Operations: [] Exploring Operation: 71-39=32, Resulting Numbers: [53, 56, 32] Generated Node #2: [53, 56, 32] from Operation: 71-39=32 Current State: 96:[53, 56, 32], Operations: ['71-39=32'] Exploring Operation: 56-53=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 56-53=3 Current State: 96:[32, 3], Operations: ['71-39=32', '56-53=3'] Exploring Operation: 32*3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 19, 55, 3, 98 ]
94
[ "19+98=117", "117/3=39", "55+39=94" ]
Current State: 94:[19, 55, 3, 98], Operations: [] Exploring Operation: 19+98=117, Resulting Numbers: [55, 3, 117] Generated Node #2: [55, 3, 117] from Operation: 19+98=117 Current State: 94:[55, 3, 117], Operations: ['19+98=117'] Exploring Operation: 117/3=39, Resulting Numbers: [55, 39] Generated Node #3: [55, 39] from Operation: 117/3=39 Current State: 94:[55, 39], Operations: ['19+98=117', '117/3=39'] Exploring Operation: 55+39=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 2, 89, 24, 9 ]
28
[ "89-24=65", "65-9=56", "56/2=28" ]
Current State: 28:[2, 89, 24, 9], Operations: [] Exploring Operation: 89-24=65, Resulting Numbers: [2, 9, 65] Generated Node #2: [2, 9, 65] from Operation: 89-24=65 Current State: 28:[2, 9, 65], Operations: ['89-24=65'] Exploring Operation: 65-9=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 65-9=56 Current State: 28:[2, 56], Operations: ['89-24=65', '65-9=56'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 18, 2, 86, 58 ]
32
[ "86-58=28", "28/2=14", "18+14=32" ]
Current State: 32:[18, 2, 86, 58], Operations: [] Exploring Operation: 86-58=28, Resulting Numbers: [18, 2, 28] Generated Node #2: [18, 2, 28] from Operation: 86-58=28 Current State: 32:[18, 2, 28], Operations: ['86-58=28'] Exploring Operation: 28/2=14, Resulting Numbers: [18, 14] Generated Node #3: [18, 14] from Operation: 28/2=14 Current State: 32:[18, 14], Operations: ['86-58=28', '28/2=14'] Exploring Operation: 18+14=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4