nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 28, 79, 20, 52 ]
19
[ "79-28=51", "52-20=32", "51-32=19" ]
Current State: 19:[28, 79, 20, 52], Operations: [] Exploring Operation: 79-28=51, Resulting Numbers: [20, 52, 51] Generated Node #2: [20, 52, 51] from Operation: 79-28=51 Current State: 19:[20, 52, 51], Operations: ['79-28=51'] Exploring Operation: 52-20=32, Resulting Numbers: [51, 32] Generated Node #3: [51, 32] from Operation: 52-20=32 Current State: 19:[51, 32], Operations: ['79-28=51', '52-20=32'] Exploring Operation: 51-32=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 86, 43, 98, 89 ]
40
[ "86/43=2", "98/2=49", "89-49=40" ]
Current State: 40:[86, 43, 98, 89], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [98, 89, 2] Generated Node #2: [98, 89, 2] from Operation: 86/43=2 Current State: 40:[98, 89, 2], Operations: ['86/43=2'] Exploring Operation: 98/2=49, Resulting Numbers: [89, 49] Generated Node #3: [89, 49] from Operation: 98/2=49 Current State: 40:[89, 49], Operations: ['86/43=2', '98/2=49'] Exploring Operation: 89-49=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 29, 45, 26, 54 ]
66
[ "29+26=55", "54*55=2970", "2970/45=66" ]
Current State: 66:[29, 45, 26, 54], Operations: [] Exploring Operation: 29+26=55, Resulting Numbers: [45, 54, 55] Generated Node #2: [45, 54, 55] from Operation: 29+26=55 Current State: 66:[45, 54, 55], Operations: ['29+26=55'] Exploring Operation: 54*55=2970, Resulting Numbers: [45, 2970] Generated Node #3: [45, 2970] from Operation: 54*55=2970 Current State: 66:[45, 2970], Operations: ['29+26=55', '54*55=2970'] Exploring Operation: 2970/45=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 83, 71, 16, 4 ]
19
[ "83-71=12", "12/4=3", "16+3=19" ]
Current State: 19:[83, 71, 16, 4], Operations: [] Exploring Operation: 83-71=12, Resulting Numbers: [16, 4, 12] Generated Node #2: [16, 4, 12] from Operation: 83-71=12 Current State: 19:[16, 4, 12], Operations: ['83-71=12'] Exploring Operation: 12/4=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 12/4=3 Current State: 19:[16, 3], Operations: ['83-71=12', '12/4=3'] Exploring Operation: 16+3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 84, 2, 48, 82 ]
47
[ "84-2=82", "82/82=1", "48-1=47" ]
Current State: 47:[84, 2, 48, 82], Operations: [] Exploring Operation: 84-2=82, Resulting Numbers: [48, 82, 82] Generated Node #2: [48, 82, 82] from Operation: 84-2=82 Current State: 47:[48, 82, 82], Operations: ['84-2=82'] Exploring Operation: 82/82=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 82/82=1 Current State: 47:[48, 1], Operations: ['84-2=82', '82/82=1'] Exploring Operation: 48-1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 50, 86, 70, 26 ]
40
[ "50+86=136", "70+26=96", "136-96=40" ]
Current State: 40:[50, 86, 70, 26], Operations: [] Exploring Operation: 50+86=136, Resulting Numbers: [70, 26, 136] Generated Node #2: [70, 26, 136] from Operation: 50+86=136 Current State: 40:[70, 26, 136], Operations: ['50+86=136'] Exploring Operation: 70+26=96, Resulting Numbers: [136, 96] Generated Node #3: [136, 96] from Operation: 70+26=96 Current State: 40:[136, 96], Operations: ['50+86=136', '70+26=96'] Exploring Operation: 136-96=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 53, 7, 12, 59 ]
79
[ "59-53=6", "12*6=72", "7+72=79" ]
Current State: 79:[53, 7, 12, 59], Operations: [] Exploring Operation: 59-53=6, Resulting Numbers: [7, 12, 6] Generated Node #2: [7, 12, 6] from Operation: 59-53=6 Current State: 79:[7, 12, 6], Operations: ['59-53=6'] Exploring Operation: 12*6=72, Resulting Numbers: [7, 72] Generated Node #3: [7, 72] from Operation: 12*6=72 Current State: 79:[7, 72], Operations: ['59-53=6', '12*6=72'] Exploring Operation: 7+72=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 41, 1, 6, 63 ]
28
[ "41*1=41", "6+63=69", "69-41=28" ]
Current State: 28:[41, 1, 6, 63], Operations: [] Exploring Operation: 41*1=41, Resulting Numbers: [6, 63, 41] Generated Node #2: [6, 63, 41] from Operation: 41*1=41 Current State: 28:[6, 63, 41], Operations: ['41*1=41'] Exploring Operation: 6+63=69, Resulting Numbers: [41, 69] Generated Node #3: [41, 69] from Operation: 6+63=69 Current State: 28:[41, 69], Operations: ['41*1=41', '6+63=69'] Exploring Operation: 69-41=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 12, 9, 67, 90 ]
49
[ "12*9=108", "67+90=157", "157-108=49" ]
Current State: 49:[12, 9, 67, 90], Operations: [] Exploring Operation: 12*9=108, Resulting Numbers: [67, 90, 108] Generated Node #2: [67, 90, 108] from Operation: 12*9=108 Current State: 49:[67, 90, 108], Operations: ['12*9=108'] Exploring Operation: 67+90=157, Resulting Numbers: [108, 157] Generated Node #3: [108, 157] from Operation: 67+90=157 Current State: 49:[108, 157], Operations: ['12*9=108', '67+90=157'] Exploring Operation: 157-108=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 79, 64, 61, 57 ]
19
[ "79-64=15", "61-57=4", "15+4=19" ]
Current State: 19:[79, 64, 61, 57], Operations: [] Exploring Operation: 79-64=15, Resulting Numbers: [61, 57, 15] Generated Node #2: [61, 57, 15] from Operation: 79-64=15 Current State: 19:[61, 57, 15], Operations: ['79-64=15'] Exploring Operation: 61-57=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 61-57=4 Current State: 19:[15, 4], Operations: ['79-64=15', '61-57=4'] Exploring Operation: 15+4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 59, 15, 14, 90 ]
61
[ "59+90=149", "15*14=210", "210-149=61" ]
Current State: 61:[59, 15, 14, 90], Operations: [] Exploring Operation: 59+90=149, Resulting Numbers: [15, 14, 149] Generated Node #2: [15, 14, 149] from Operation: 59+90=149 Current State: 61:[15, 14, 149], Operations: ['59+90=149'] Exploring Operation: 15*14=210, Resulting Numbers: [149, 210] Generated Node #3: [149, 210] from Operation: 15*14=210 Current State: 61:[149, 210], Operations: ['59+90=149', '15*14=210'] Exploring Operation: 210-149=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 92, 8, 35, 95 ]
59
[ "95-92=3", "8*3=24", "35+24=59" ]
Current State: 59:[92, 8, 35, 95], Operations: [] Exploring Operation: 95-92=3, Resulting Numbers: [8, 35, 3] Generated Node #2: [8, 35, 3] from Operation: 95-92=3 Current State: 59:[8, 35, 3], Operations: ['95-92=3'] Exploring Operation: 8*3=24, Resulting Numbers: [35, 24] Generated Node #3: [35, 24] from Operation: 8*3=24 Current State: 59:[35, 24], Operations: ['95-92=3', '8*3=24'] Exploring Operation: 35+24=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 51, 54, 44, 24 ]
48
[ "54*44=2376", "2376/24=99", "99-51=48" ]
Current State: 48:[51, 54, 44, 24], Operations: [] Exploring Operation: 54*44=2376, Resulting Numbers: [51, 24, 2376] Generated Node #2: [51, 24, 2376] from Operation: 54*44=2376 Current State: 48:[51, 24, 2376], Operations: ['54*44=2376'] Exploring Operation: 2376/24=99, Resulting Numbers: [51, 99] Generated Node #3: [51, 99] from Operation: 2376/24=99 Current State: 48:[51, 99], Operations: ['54*44=2376', '2376/24=99'] Exploring Operation: 99-51=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 48, 72, 7, 68 ]
16
[ "72-7=65", "68-65=3", "48/3=16" ]
Current State: 16:[48, 72, 7, 68], Operations: [] Exploring Operation: 72-7=65, Resulting Numbers: [48, 68, 65] Generated Node #2: [48, 68, 65] from Operation: 72-7=65 Current State: 16:[48, 68, 65], Operations: ['72-7=65'] Exploring Operation: 68-65=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 68-65=3 Current State: 16:[48, 3], Operations: ['72-7=65', '68-65=3'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 80, 8, 3, 74 ]
87
[ "80/8=10", "3+74=77", "10+77=87" ]
Current State: 87:[80, 8, 3, 74], Operations: [] Exploring Operation: 80/8=10, Resulting Numbers: [3, 74, 10] Generated Node #2: [3, 74, 10] from Operation: 80/8=10 Current State: 87:[3, 74, 10], Operations: ['80/8=10'] Exploring Operation: 3+74=77, Resulting Numbers: [10, 77] Generated Node #3: [10, 77] from Operation: 3+74=77 Current State: 87:[10, 77], Operations: ['80/8=10', '3+74=77'] Exploring Operation: 10+77=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 9, 61, 90, 97 ]
14
[ "90-61=29", "97+29=126", "126/9=14" ]
Current State: 14:[9, 61, 90, 97], Operations: [] Exploring Operation: 90-61=29, Resulting Numbers: [9, 97, 29] Generated Node #2: [9, 97, 29] from Operation: 90-61=29 Current State: 14:[9, 97, 29], Operations: ['90-61=29'] Exploring Operation: 97+29=126, Resulting Numbers: [9, 126] Generated Node #3: [9, 126] from Operation: 97+29=126 Current State: 14:[9, 126], Operations: ['90-61=29', '97+29=126'] Exploring Operation: 126/9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 49, 69, 5, 11 ]
36
[ "69-49=20", "5+11=16", "20+16=36" ]
Current State: 36:[49, 69, 5, 11], Operations: [] Exploring Operation: 69-49=20, Resulting Numbers: [5, 11, 20] Generated Node #2: [5, 11, 20] from Operation: 69-49=20 Current State: 36:[5, 11, 20], Operations: ['69-49=20'] Exploring Operation: 5+11=16, Resulting Numbers: [20, 16] Generated Node #3: [20, 16] from Operation: 5+11=16 Current State: 36:[20, 16], Operations: ['69-49=20', '5+11=16'] Exploring Operation: 20+16=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 15, 46, 30, 88 ]
89
[ "46-15=31", "88-30=58", "31+58=89" ]
Current State: 89:[15, 46, 30, 88], Operations: [] Exploring Operation: 46-15=31, Resulting Numbers: [30, 88, 31] Generated Node #2: [30, 88, 31] from Operation: 46-15=31 Current State: 89:[30, 88, 31], Operations: ['46-15=31'] Exploring Operation: 88-30=58, Resulting Numbers: [31, 58] Generated Node #3: [31, 58] from Operation: 88-30=58 Current State: 89:[31, 58], Operations: ['46-15=31', '88-30=58'] Exploring Operation: 31+58=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 98, 15, 31, 26 ]
95
[ "31-26=5", "15/5=3", "98-3=95" ]
Current State: 95:[98, 15, 31, 26], Operations: [] Exploring Operation: 31-26=5, Resulting Numbers: [98, 15, 5] Generated Node #2: [98, 15, 5] from Operation: 31-26=5 Current State: 95:[98, 15, 5], Operations: ['31-26=5'] Exploring Operation: 15/5=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 15/5=3 Current State: 95:[98, 3], Operations: ['31-26=5', '15/5=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 29, 46, 2, 5 ]
94
[ "29-5=24", "2*24=48", "46+48=94" ]
Current State: 94:[29, 46, 2, 5], Operations: [] Exploring Operation: 29-5=24, Resulting Numbers: [46, 2, 24] Generated Node #2: [46, 2, 24] from Operation: 29-5=24 Current State: 94:[46, 2, 24], Operations: ['29-5=24'] Exploring Operation: 2*24=48, Resulting Numbers: [46, 48] Generated Node #3: [46, 48] from Operation: 2*24=48 Current State: 94:[46, 48], Operations: ['29-5=24', '2*24=48'] Exploring Operation: 46+48=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 45, 90, 86, 36 ]
100
[ "90/45=2", "86-36=50", "2*50=100" ]
Current State: 100:[45, 90, 86, 36], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [86, 36, 2] Generated Node #2: [86, 36, 2] from Operation: 90/45=2 Current State: 100:[86, 36, 2], Operations: ['90/45=2'] Exploring Operation: 86-36=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 86-36=50 Current State: 100:[2, 50], Operations: ['90/45=2', '86-36=50'] Exploring Operation: 2*50=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 64, 9, 6, 56 ]
14
[ "64+6=70", "56+70=126", "126/9=14" ]
Current State: 14:[64, 9, 6, 56], Operations: [] Exploring Operation: 64+6=70, Resulting Numbers: [9, 56, 70] Generated Node #2: [9, 56, 70] from Operation: 64+6=70 Current State: 14:[9, 56, 70], Operations: ['64+6=70'] Exploring Operation: 56+70=126, Resulting Numbers: [9, 126] Generated Node #3: [9, 126] from Operation: 56+70=126 Current State: 14:[9, 126], Operations: ['64+6=70', '56+70=126'] Exploring Operation: 126/9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 27, 49, 1, 36 ]
40
[ "27+49=76", "1*36=36", "76-36=40" ]
Current State: 40:[27, 49, 1, 36], Operations: [] Exploring Operation: 27+49=76, Resulting Numbers: [1, 36, 76] Generated Node #2: [1, 36, 76] from Operation: 27+49=76 Current State: 40:[1, 36, 76], Operations: ['27+49=76'] Exploring Operation: 1*36=36, Resulting Numbers: [76, 36] Generated Node #3: [76, 36] from Operation: 1*36=36 Current State: 40:[76, 36], Operations: ['27+49=76', '1*36=36'] Exploring Operation: 76-36=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 39, 90, 88, 15 ]
27
[ "39+15=54", "90-88=2", "54/2=27" ]
Current State: 27:[39, 90, 88, 15], Operations: [] Exploring Operation: 39+15=54, Resulting Numbers: [90, 88, 54] Generated Node #2: [90, 88, 54] from Operation: 39+15=54 Current State: 27:[90, 88, 54], Operations: ['39+15=54'] Exploring Operation: 90-88=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 90-88=2 Current State: 27:[54, 2], Operations: ['39+15=54', '90-88=2'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 53, 92, 54, 39 ]
55
[ "92-53=39", "39/39=1", "54+1=55" ]
Current State: 55:[53, 92, 54, 39], Operations: [] Exploring Operation: 92-53=39, Resulting Numbers: [54, 39, 39] Generated Node #2: [54, 39, 39] from Operation: 92-53=39 Current State: 55:[54, 39, 39], Operations: ['92-53=39'] Exploring Operation: 39/39=1, Resulting Numbers: [54, 1] Generated Node #3: [54, 1] from Operation: 39/39=1 Current State: 55:[54, 1], Operations: ['92-53=39', '39/39=1'] Exploring Operation: 54+1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 9, 2, 39, 71 ]
46
[ "9+39=48", "71-48=23", "2*23=46" ]
Current State: 46:[9, 2, 39, 71], Operations: [] Exploring Operation: 9+39=48, Resulting Numbers: [2, 71, 48] Generated Node #2: [2, 71, 48] from Operation: 9+39=48 Current State: 46:[2, 71, 48], Operations: ['9+39=48'] Exploring Operation: 71-48=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 71-48=23 Current State: 46:[2, 23], Operations: ['9+39=48', '71-48=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 66, 38, 23, 56 ]
46
[ "66-38=28", "23*56=1288", "1288/28=46" ]
Current State: 46:[66, 38, 23, 56], Operations: [] Exploring Operation: 66-38=28, Resulting Numbers: [23, 56, 28] Generated Node #2: [23, 56, 28] from Operation: 66-38=28 Current State: 46:[23, 56, 28], Operations: ['66-38=28'] Exploring Operation: 23*56=1288, Resulting Numbers: [28, 1288] Generated Node #3: [28, 1288] from Operation: 23*56=1288 Current State: 46:[28, 1288], Operations: ['66-38=28', '23*56=1288'] Exploring Operation: 1288/28=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 74, 8, 69, 26 ]
14
[ "74-69=5", "8*5=40", "40-26=14" ]
Current State: 14:[74, 8, 69, 26], Operations: [] Exploring Operation: 74-69=5, Resulting Numbers: [8, 26, 5] Generated Node #2: [8, 26, 5] from Operation: 74-69=5 Current State: 14:[8, 26, 5], Operations: ['74-69=5'] Exploring Operation: 8*5=40, Resulting Numbers: [26, 40] Generated Node #3: [26, 40] from Operation: 8*5=40 Current State: 14:[26, 40], Operations: ['74-69=5', '8*5=40'] Exploring Operation: 40-26=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 75, 2, 77, 22 ]
13
[ "77-75=2", "22/2=11", "2+11=13" ]
Current State: 13:[75, 2, 77, 22], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [2, 22, 2] Generated Node #2: [2, 22, 2] from Operation: 77-75=2 Current State: 13:[2, 22, 2], Operations: ['77-75=2'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,13 equal: Goal Reached Exploring Operation: 2+11=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 98, 54, 75, 89 ]
12
[ "98+54=152", "75+89=164", "164-152=12" ]
Current State: 12:[98, 54, 75, 89], Operations: [] Exploring Operation: 98+54=152, Resulting Numbers: [75, 89, 152] Generated Node #2: [75, 89, 152] from Operation: 98+54=152 Current State: 12:[75, 89, 152], Operations: ['98+54=152'] Exploring Operation: 75+89=164, Resulting Numbers: [152, 164] Generated Node #3: [152, 164] from Operation: 75+89=164 Current State: 12:[152, 164], Operations: ['98+54=152', '75+89=164'] Exploring Operation: 164-152=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 10, 61, 61, 5 ]
49
[ "10*5=50", "61/61=1", "50-1=49" ]
Current State: 49:[10, 61, 61, 5], Operations: [] Exploring Operation: 10*5=50, Resulting Numbers: [61, 61, 50] Generated Node #2: [61, 61, 50] from Operation: 10*5=50 Current State: 49:[61, 61, 50], Operations: ['10*5=50'] Exploring Operation: 61/61=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 61/61=1 Current State: 49:[50, 1], Operations: ['10*5=50', '61/61=1'] Exploring Operation: 50-1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 31, 35, 49, 2 ]
76
[ "31*2=62", "49-35=14", "62+14=76" ]
Current State: 76:[31, 35, 49, 2], Operations: [] Exploring Operation: 31*2=62, Resulting Numbers: [35, 49, 62] Generated Node #2: [35, 49, 62] from Operation: 31*2=62 Current State: 76:[35, 49, 62], Operations: ['31*2=62'] Exploring Operation: 49-35=14, Resulting Numbers: [62, 14] Generated Node #3: [62, 14] from Operation: 49-35=14 Current State: 76:[62, 14], Operations: ['31*2=62', '49-35=14'] Exploring Operation: 62+14=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 60, 24, 41, 7 ]
53
[ "60+24=84", "84/7=12", "41+12=53" ]
Current State: 53:[60, 24, 41, 7], Operations: [] Exploring Operation: 60+24=84, Resulting Numbers: [41, 7, 84] Generated Node #2: [41, 7, 84] from Operation: 60+24=84 Current State: 53:[41, 7, 84], Operations: ['60+24=84'] Exploring Operation: 84/7=12, Resulting Numbers: [41, 12] Generated Node #3: [41, 12] from Operation: 84/7=12 Current State: 53:[41, 12], Operations: ['60+24=84', '84/7=12'] Exploring Operation: 41+12=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 5, 50, 55, 97 ]
52
[ "50/5=10", "97-55=42", "10+42=52" ]
Current State: 52:[5, 50, 55, 97], Operations: [] Exploring Operation: 50/5=10, Resulting Numbers: [55, 97, 10] Generated Node #2: [55, 97, 10] from Operation: 50/5=10 Current State: 52:[55, 97, 10], Operations: ['50/5=10'] Exploring Operation: 97-55=42, Resulting Numbers: [10, 42] Generated Node #3: [10, 42] from Operation: 97-55=42 Current State: 52:[10, 42], Operations: ['50/5=10', '97-55=42'] Exploring Operation: 10+42=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 29, 70, 27, 84 ]
42
[ "29+70=99", "84-27=57", "99-57=42" ]
Current State: 42:[29, 70, 27, 84], Operations: [] Exploring Operation: 29+70=99, Resulting Numbers: [27, 84, 99] Generated Node #2: [27, 84, 99] from Operation: 29+70=99 Current State: 42:[27, 84, 99], Operations: ['29+70=99'] Exploring Operation: 84-27=57, Resulting Numbers: [99, 57] Generated Node #3: [99, 57] from Operation: 84-27=57 Current State: 42:[99, 57], Operations: ['29+70=99', '84-27=57'] Exploring Operation: 99-57=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 7, 30, 66, 35 ]
60
[ "7*30=210", "210/35=6", "66-6=60" ]
Current State: 60:[7, 30, 66, 35], Operations: [] Exploring Operation: 7*30=210, Resulting Numbers: [66, 35, 210] Generated Node #2: [66, 35, 210] from Operation: 7*30=210 Current State: 60:[66, 35, 210], Operations: ['7*30=210'] Exploring Operation: 210/35=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 210/35=6 Current State: 60:[66, 6], Operations: ['7*30=210', '210/35=6'] Exploring Operation: 66-6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 15, 24, 54, 37 ]
39
[ "54-24=30", "30/15=2", "37+2=39" ]
Current State: 39:[15, 24, 54, 37], Operations: [] Exploring Operation: 54-24=30, Resulting Numbers: [15, 37, 30] Generated Node #2: [15, 37, 30] from Operation: 54-24=30 Current State: 39:[15, 37, 30], Operations: ['54-24=30'] Exploring Operation: 30/15=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 30/15=2 Current State: 39:[37, 2], Operations: ['54-24=30', '30/15=2'] Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 36, 44, 77, 45 ]
42
[ "36+44=80", "77+45=122", "122-80=42" ]
Current State: 42:[36, 44, 77, 45], Operations: [] Exploring Operation: 36+44=80, Resulting Numbers: [77, 45, 80] Generated Node #2: [77, 45, 80] from Operation: 36+44=80 Current State: 42:[77, 45, 80], Operations: ['36+44=80'] Exploring Operation: 77+45=122, Resulting Numbers: [80, 122] Generated Node #3: [80, 122] from Operation: 77+45=122 Current State: 42:[80, 122], Operations: ['36+44=80', '77+45=122'] Exploring Operation: 122-80=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 5, 39, 55, 2 ]
68
[ "5-2=3", "39/3=13", "55+13=68" ]
Current State: 68:[5, 39, 55, 2], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [39, 55, 3] Generated Node #2: [39, 55, 3] from Operation: 5-2=3 Current State: 68:[39, 55, 3], Operations: ['5-2=3'] Exploring Operation: 39/3=13, Resulting Numbers: [55, 13] Generated Node #3: [55, 13] from Operation: 39/3=13 Current State: 68:[55, 13], Operations: ['5-2=3', '39/3=13'] Exploring Operation: 55+13=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 51, 16, 48, 69 ]
86
[ "51*16=816", "816/48=17", "69+17=86" ]
Current State: 86:[51, 16, 48, 69], Operations: [] Exploring Operation: 51*16=816, Resulting Numbers: [48, 69, 816] Generated Node #2: [48, 69, 816] from Operation: 51*16=816 Current State: 86:[48, 69, 816], Operations: ['51*16=816'] Exploring Operation: 816/48=17, Resulting Numbers: [69, 17] Generated Node #3: [69, 17] from Operation: 816/48=17 Current State: 86:[69, 17], Operations: ['51*16=816', '816/48=17'] Exploring Operation: 69+17=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 45, 67, 38, 24 ]
56
[ "67+38=105", "24*105=2520", "2520/45=56" ]
Current State: 56:[45, 67, 38, 24], Operations: [] Exploring Operation: 67+38=105, Resulting Numbers: [45, 24, 105] Generated Node #2: [45, 24, 105] from Operation: 67+38=105 Current State: 56:[45, 24, 105], Operations: ['67+38=105'] Exploring Operation: 24*105=2520, Resulting Numbers: [45, 2520] Generated Node #3: [45, 2520] from Operation: 24*105=2520 Current State: 56:[45, 2520], Operations: ['67+38=105', '24*105=2520'] Exploring Operation: 2520/45=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 24, 13, 19, 42 ]
23
[ "24-19=5", "13*5=65", "65-42=23" ]
Current State: 23:[24, 13, 19, 42], Operations: [] Exploring Operation: 24-19=5, Resulting Numbers: [13, 42, 5] Generated Node #2: [13, 42, 5] from Operation: 24-19=5 Current State: 23:[13, 42, 5], Operations: ['24-19=5'] Exploring Operation: 13*5=65, Resulting Numbers: [42, 65] Generated Node #3: [42, 65] from Operation: 13*5=65 Current State: 23:[42, 65], Operations: ['24-19=5', '13*5=65'] Exploring Operation: 65-42=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 9, 14, 70, 8 ]
77
[ "9*70=630", "630-14=616", "616/8=77" ]
Current State: 77:[9, 14, 70, 8], Operations: [] Exploring Operation: 9*70=630, Resulting Numbers: [14, 8, 630] Generated Node #2: [14, 8, 630] from Operation: 9*70=630 Current State: 77:[14, 8, 630], Operations: ['9*70=630'] Exploring Operation: 630-14=616, Resulting Numbers: [8, 616] Generated Node #3: [8, 616] from Operation: 630-14=616 Current State: 77:[8, 616], Operations: ['9*70=630', '630-14=616'] Exploring Operation: 616/8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 19, 3, 59, 8 ]
68
[ "19+8=27", "27/3=9", "59+9=68" ]
Current State: 68:[19, 3, 59, 8], Operations: [] Exploring Operation: 19+8=27, Resulting Numbers: [3, 59, 27] Generated Node #2: [3, 59, 27] from Operation: 19+8=27 Current State: 68:[3, 59, 27], Operations: ['19+8=27'] Exploring Operation: 27/3=9, Resulting Numbers: [59, 9] Generated Node #3: [59, 9] from Operation: 27/3=9 Current State: 68:[59, 9], Operations: ['19+8=27', '27/3=9'] Exploring Operation: 59+9=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 32, 10, 25, 90 ]
20
[ "32-25=7", "10*7=70", "90-70=20" ]
Current State: 20:[32, 10, 25, 90], Operations: [] Exploring Operation: 32-25=7, Resulting Numbers: [10, 90, 7] Generated Node #2: [10, 90, 7] from Operation: 32-25=7 Current State: 20:[10, 90, 7], Operations: ['32-25=7'] Exploring Operation: 10*7=70, Resulting Numbers: [90, 70] Generated Node #3: [90, 70] from Operation: 10*7=70 Current State: 20:[90, 70], Operations: ['32-25=7', '10*7=70'] Exploring Operation: 90-70=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 85, 43, 1, 97 ]
32
[ "85+43=128", "97-1=96", "128-96=32" ]
Current State: 32:[85, 43, 1, 97], Operations: [] Exploring Operation: 85+43=128, Resulting Numbers: [1, 97, 128] Generated Node #2: [1, 97, 128] from Operation: 85+43=128 Current State: 32:[1, 97, 128], Operations: ['85+43=128'] Exploring Operation: 97-1=96, Resulting Numbers: [128, 96] Generated Node #3: [128, 96] from Operation: 97-1=96 Current State: 32:[128, 96], Operations: ['85+43=128', '97-1=96'] Exploring Operation: 128-96=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 88, 17, 81, 66 ]
91
[ "88*81=7128", "7128/66=108", "108-17=91" ]
Current State: 91:[88, 17, 81, 66], Operations: [] Exploring Operation: 88*81=7128, Resulting Numbers: [17, 66, 7128] Generated Node #2: [17, 66, 7128] from Operation: 88*81=7128 Current State: 91:[17, 66, 7128], Operations: ['88*81=7128'] Exploring Operation: 7128/66=108, Resulting Numbers: [17, 108] Generated Node #3: [17, 108] from Operation: 7128/66=108 Current State: 91:[17, 108], Operations: ['88*81=7128', '7128/66=108'] Exploring Operation: 108-17=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 50, 12, 8 ]
80
[ "2*50=100", "12+8=20", "100-20=80" ]
Current State: 80:[2, 50, 12, 8], Operations: [] Exploring Operation: 2*50=100, Resulting Numbers: [12, 8, 100] Generated Node #2: [12, 8, 100] from Operation: 2*50=100 Current State: 80:[12, 8, 100], Operations: ['2*50=100'] Exploring Operation: 12+8=20, Resulting Numbers: [100, 20] Generated Node #3: [100, 20] from Operation: 12+8=20 Current State: 80:[100, 20], Operations: ['2*50=100', '12+8=20'] Exploring Operation: 100-20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 52, 65, 16, 43 ]
40
[ "65-52=13", "43-16=27", "13+27=40" ]
Current State: 40:[52, 65, 16, 43], Operations: [] Exploring Operation: 65-52=13, Resulting Numbers: [16, 43, 13] Generated Node #2: [16, 43, 13] from Operation: 65-52=13 Current State: 40:[16, 43, 13], Operations: ['65-52=13'] Exploring Operation: 43-16=27, Resulting Numbers: [13, 27] Generated Node #3: [13, 27] from Operation: 43-16=27 Current State: 40:[13, 27], Operations: ['65-52=13', '43-16=27'] Exploring Operation: 13+27=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 39, 56, 50, 27 ]
18
[ "39+56=95", "50+27=77", "95-77=18" ]
Current State: 18:[39, 56, 50, 27], Operations: [] Exploring Operation: 39+56=95, Resulting Numbers: [50, 27, 95] Generated Node #2: [50, 27, 95] from Operation: 39+56=95 Current State: 18:[50, 27, 95], Operations: ['39+56=95'] Exploring Operation: 50+27=77, Resulting Numbers: [95, 77] Generated Node #3: [95, 77] from Operation: 50+27=77 Current State: 18:[95, 77], Operations: ['39+56=95', '50+27=77'] Exploring Operation: 95-77=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 10, 25, 57, 6 ]
22
[ "10*6=60", "25+57=82", "82-60=22" ]
Current State: 22:[10, 25, 57, 6], Operations: [] Exploring Operation: 10*6=60, Resulting Numbers: [25, 57, 60] Generated Node #2: [25, 57, 60] from Operation: 10*6=60 Current State: 22:[25, 57, 60], Operations: ['10*6=60'] Exploring Operation: 25+57=82, Resulting Numbers: [60, 82] Generated Node #3: [60, 82] from Operation: 25+57=82 Current State: 22:[60, 82], Operations: ['10*6=60', '25+57=82'] Exploring Operation: 82-60=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 39, 4, 36, 34 ]
10
[ "39-36=3", "34-4=30", "30/3=10" ]
Current State: 10:[39, 4, 36, 34], Operations: [] Exploring Operation: 39-36=3, Resulting Numbers: [4, 34, 3] Generated Node #2: [4, 34, 3] from Operation: 39-36=3 Current State: 10:[4, 34, 3], Operations: ['39-36=3'] Exploring Operation: 34-4=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 34-4=30 Current State: 10:[3, 30], Operations: ['39-36=3', '34-4=30'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 18, 28, 25, 71 ]
23
[ "18*28=504", "71+504=575", "575/25=23" ]
Current State: 23:[18, 28, 25, 71], Operations: [] Exploring Operation: 18*28=504, Resulting Numbers: [25, 71, 504] Generated Node #2: [25, 71, 504] from Operation: 18*28=504 Current State: 23:[25, 71, 504], Operations: ['18*28=504'] Exploring Operation: 71+504=575, Resulting Numbers: [25, 575] Generated Node #3: [25, 575] from Operation: 71+504=575 Current State: 23:[25, 575], Operations: ['18*28=504', '71+504=575'] Exploring Operation: 575/25=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 40, 3, 60, 90 ]
50
[ "60-40=20", "90/3=30", "20+30=50" ]
Current State: 50:[40, 3, 60, 90], Operations: [] Exploring Operation: 60-40=20, Resulting Numbers: [3, 90, 20] Generated Node #2: [3, 90, 20] from Operation: 60-40=20 Current State: 50:[3, 90, 20], Operations: ['60-40=20'] Exploring Operation: 90/3=30, Resulting Numbers: [20, 30] Generated Node #3: [20, 30] from Operation: 90/3=30 Current State: 50:[20, 30], Operations: ['60-40=20', '90/3=30'] Exploring Operation: 20+30=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 45, 10, 65, 51 ]
62
[ "45+65=110", "110/10=11", "51+11=62" ]
Current State: 62:[45, 10, 65, 51], Operations: [] Exploring Operation: 45+65=110, Resulting Numbers: [10, 51, 110] Generated Node #2: [10, 51, 110] from Operation: 45+65=110 Current State: 62:[10, 51, 110], Operations: ['45+65=110'] Exploring Operation: 110/10=11, Resulting Numbers: [51, 11] Generated Node #3: [51, 11] from Operation: 110/10=11 Current State: 62:[51, 11], Operations: ['45+65=110', '110/10=11'] Exploring Operation: 51+11=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 89, 35, 7, 25 ]
69
[ "89-25=64", "35/7=5", "64+5=69" ]
Current State: 69:[89, 35, 7, 25], Operations: [] Exploring Operation: 89-25=64, Resulting Numbers: [35, 7, 64] Generated Node #2: [35, 7, 64] from Operation: 89-25=64 Current State: 69:[35, 7, 64], Operations: ['89-25=64'] Exploring Operation: 35/7=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 35/7=5 Current State: 69:[64, 5], Operations: ['89-25=64', '35/7=5'] Exploring Operation: 64+5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 59, 90, 56, 61 ]
73
[ "61-59=2", "90+56=146", "146/2=73" ]
Current State: 73:[59, 90, 56, 61], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [90, 56, 2] Generated Node #2: [90, 56, 2] from Operation: 61-59=2 Current State: 73:[90, 56, 2], Operations: ['61-59=2'] Exploring Operation: 90+56=146, Resulting Numbers: [2, 146] Generated Node #3: [2, 146] from Operation: 90+56=146 Current State: 73:[2, 146], Operations: ['61-59=2', '90+56=146'] Exploring Operation: 146/2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 3, 4, 38, 9 ]
75
[ "38-4=34", "34-9=25", "3*25=75" ]
Current State: 75:[3, 4, 38, 9], Operations: [] Exploring Operation: 38-4=34, Resulting Numbers: [3, 9, 34] Generated Node #2: [3, 9, 34] from Operation: 38-4=34 Current State: 75:[3, 9, 34], Operations: ['38-4=34'] Exploring Operation: 34-9=25, Resulting Numbers: [3, 25] Generated Node #3: [3, 25] from Operation: 34-9=25 Current State: 75:[3, 25], Operations: ['38-4=34', '34-9=25'] Exploring Operation: 3*25=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 24, 91, 94, 81 ]
35
[ "24+81=105", "94-91=3", "105/3=35" ]
Current State: 35:[24, 91, 94, 81], Operations: [] Exploring Operation: 24+81=105, Resulting Numbers: [91, 94, 105] Generated Node #2: [91, 94, 105] from Operation: 24+81=105 Current State: 35:[91, 94, 105], Operations: ['24+81=105'] Exploring Operation: 94-91=3, Resulting Numbers: [105, 3] Generated Node #3: [105, 3] from Operation: 94-91=3 Current State: 35:[105, 3], Operations: ['24+81=105', '94-91=3'] Exploring Operation: 105/3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 43, 23, 54, 40 ]
56
[ "43-23=20", "40/20=2", "54+2=56" ]
Current State: 56:[43, 23, 54, 40], Operations: [] Exploring Operation: 43-23=20, Resulting Numbers: [54, 40, 20] Generated Node #2: [54, 40, 20] from Operation: 43-23=20 Current State: 56:[54, 40, 20], Operations: ['43-23=20'] Exploring Operation: 40/20=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 40/20=2 Current State: 56:[54, 2], Operations: ['43-23=20', '40/20=2'] Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 4, 33, 70, 84 ]
51
[ "4+33=37", "84-70=14", "37+14=51" ]
Current State: 51:[4, 33, 70, 84], Operations: [] Exploring Operation: 4+33=37, Resulting Numbers: [70, 84, 37] Generated Node #2: [70, 84, 37] from Operation: 4+33=37 Current State: 51:[70, 84, 37], Operations: ['4+33=37'] Exploring Operation: 84-70=14, Resulting Numbers: [37, 14] Generated Node #3: [37, 14] from Operation: 84-70=14 Current State: 51:[37, 14], Operations: ['4+33=37', '84-70=14'] Exploring Operation: 37+14=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 85, 80, 20, 68 ]
53
[ "85-80=5", "68-20=48", "5+48=53" ]
Current State: 53:[85, 80, 20, 68], Operations: [] Exploring Operation: 85-80=5, Resulting Numbers: [20, 68, 5] Generated Node #2: [20, 68, 5] from Operation: 85-80=5 Current State: 53:[20, 68, 5], Operations: ['85-80=5'] Exploring Operation: 68-20=48, Resulting Numbers: [5, 48] Generated Node #3: [5, 48] from Operation: 68-20=48 Current State: 53:[5, 48], Operations: ['85-80=5', '68-20=48'] Exploring Operation: 5+48=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 59, 74, 75, 44 ]
49
[ "74-59=15", "75/15=5", "44+5=49" ]
Current State: 49:[59, 74, 75, 44], Operations: [] Exploring Operation: 74-59=15, Resulting Numbers: [75, 44, 15] Generated Node #2: [75, 44, 15] from Operation: 74-59=15 Current State: 49:[75, 44, 15], Operations: ['74-59=15'] Exploring Operation: 75/15=5, Resulting Numbers: [44, 5] Generated Node #3: [44, 5] from Operation: 75/15=5 Current State: 49:[44, 5], Operations: ['74-59=15', '75/15=5'] Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 2, 63, 29, 7 ]
61
[ "63-29=34", "2*34=68", "68-7=61" ]
Current State: 61:[2, 63, 29, 7], Operations: [] Exploring Operation: 63-29=34, Resulting Numbers: [2, 7, 34] Generated Node #2: [2, 7, 34] from Operation: 63-29=34 Current State: 61:[2, 7, 34], Operations: ['63-29=34'] Exploring Operation: 2*34=68, Resulting Numbers: [7, 68] Generated Node #3: [7, 68] from Operation: 2*34=68 Current State: 61:[7, 68], Operations: ['63-29=34', '2*34=68'] Exploring Operation: 68-7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 76, 96, 56, 41 ]
35
[ "96-76=20", "56-41=15", "20+15=35" ]
Current State: 35:[76, 96, 56, 41], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [56, 41, 20] Generated Node #2: [56, 41, 20] from Operation: 96-76=20 Current State: 35:[56, 41, 20], Operations: ['96-76=20'] Exploring Operation: 56-41=15, Resulting Numbers: [20, 15] Generated Node #3: [20, 15] from Operation: 56-41=15 Current State: 35:[20, 15], Operations: ['96-76=20', '56-41=15'] Exploring Operation: 20+15=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 11, 53, 12, 93 ]
41
[ "11+53=64", "12+93=105", "105-64=41" ]
Current State: 41:[11, 53, 12, 93], Operations: [] Exploring Operation: 11+53=64, Resulting Numbers: [12, 93, 64] Generated Node #2: [12, 93, 64] from Operation: 11+53=64 Current State: 41:[12, 93, 64], Operations: ['11+53=64'] Exploring Operation: 12+93=105, Resulting Numbers: [64, 105] Generated Node #3: [64, 105] from Operation: 12+93=105 Current State: 41:[64, 105], Operations: ['11+53=64', '12+93=105'] Exploring Operation: 105-64=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 61, 77, 13, 40 ]
11
[ "77-61=16", "40-13=27", "27-16=11" ]
Current State: 11:[61, 77, 13, 40], Operations: [] Exploring Operation: 77-61=16, Resulting Numbers: [13, 40, 16] Generated Node #2: [13, 40, 16] from Operation: 77-61=16 Current State: 11:[13, 40, 16], Operations: ['77-61=16'] Exploring Operation: 40-13=27, Resulting Numbers: [16, 27] Generated Node #3: [16, 27] from Operation: 40-13=27 Current State: 11:[16, 27], Operations: ['77-61=16', '40-13=27'] Exploring Operation: 27-16=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 42, 69, 3, 1 ]
66
[ "42+1=43", "69/3=23", "43+23=66" ]
Current State: 66:[42, 69, 3, 1], Operations: [] Exploring Operation: 42+1=43, Resulting Numbers: [69, 3, 43] Generated Node #2: [69, 3, 43] from Operation: 42+1=43 Current State: 66:[69, 3, 43], Operations: ['42+1=43'] Exploring Operation: 69/3=23, Resulting Numbers: [43, 23] Generated Node #3: [43, 23] from Operation: 69/3=23 Current State: 66:[43, 23], Operations: ['42+1=43', '69/3=23'] Exploring Operation: 43+23=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 18, 9, 9, 26 ]
55
[ "18-9=9", "9*9=81", "81-26=55" ]
Current State: 55:[18, 9, 9, 26], Operations: [] Exploring Operation: 18-9=9, Resulting Numbers: [26, 9] Generated Node #2: [26, 9] from Operation: 18-9=9 Current State: 55:[26, 9], Operations: ['18-9=9'] Exploring Operation: 9*9=81, Resulting Numbers: [26, 81] Generated Node #3: [26, 81] from Operation: 9*9=81 Current State: 55:[26, 81], Operations: ['18-9=9', '9*9=81'] Exploring Operation: 81-26=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 31, 31, 28, 45 ]
46
[ "31-28=3", "45/3=15", "31+15=46" ]
Current State: 46:[31, 31, 28, 45], Operations: [] Exploring Operation: 31-28=3, Resulting Numbers: [45, 3] Generated Node #2: [45, 3] from Operation: 31-28=3 Current State: 46:[45, 3], Operations: ['31-28=3'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,46 equal: Goal Reached Exploring Operation: 31+15=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 76, 25, 11, 64 ]
36
[ "76*11=836", "64+836=900", "900/25=36" ]
Current State: 36:[76, 25, 11, 64], Operations: [] Exploring Operation: 76*11=836, Resulting Numbers: [25, 64, 836] Generated Node #2: [25, 64, 836] from Operation: 76*11=836 Current State: 36:[25, 64, 836], Operations: ['76*11=836'] Exploring Operation: 64+836=900, Resulting Numbers: [25, 900] Generated Node #3: [25, 900] from Operation: 64+836=900 Current State: 36:[25, 900], Operations: ['76*11=836', '64+836=900'] Exploring Operation: 900/25=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 31, 98, 21 ]
25
[ "2*21=42", "98-31=67", "67-42=25" ]
Current State: 25:[2, 31, 98, 21], Operations: [] Exploring Operation: 2*21=42, Resulting Numbers: [31, 98, 42] Generated Node #2: [31, 98, 42] from Operation: 2*21=42 Current State: 25:[31, 98, 42], Operations: ['2*21=42'] Exploring Operation: 98-31=67, Resulting Numbers: [42, 67] Generated Node #3: [42, 67] from Operation: 98-31=67 Current State: 25:[42, 67], Operations: ['2*21=42', '98-31=67'] Exploring Operation: 67-42=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 56, 98, 29, 26 ]
99
[ "56+98=154", "29+26=55", "154-55=99" ]
Current State: 99:[56, 98, 29, 26], Operations: [] Exploring Operation: 56+98=154, Resulting Numbers: [29, 26, 154] Generated Node #2: [29, 26, 154] from Operation: 56+98=154 Current State: 99:[29, 26, 154], Operations: ['56+98=154'] Exploring Operation: 29+26=55, Resulting Numbers: [154, 55] Generated Node #3: [154, 55] from Operation: 29+26=55 Current State: 99:[154, 55], Operations: ['56+98=154', '29+26=55'] Exploring Operation: 154-55=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 26, 10, 64, 32 ]
21
[ "10*32=320", "320/64=5", "26-5=21" ]
Current State: 21:[26, 10, 64, 32], Operations: [] Exploring Operation: 10*32=320, Resulting Numbers: [26, 64, 320] Generated Node #2: [26, 64, 320] from Operation: 10*32=320 Current State: 21:[26, 64, 320], Operations: ['10*32=320'] Exploring Operation: 320/64=5, Resulting Numbers: [26, 5] Generated Node #3: [26, 5] from Operation: 320/64=5 Current State: 21:[26, 5], Operations: ['10*32=320', '320/64=5'] Exploring Operation: 26-5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 80, 16, 39, 84 ]
19
[ "80-16=64", "84-39=45", "64-45=19" ]
Current State: 19:[80, 16, 39, 84], Operations: [] Exploring Operation: 80-16=64, Resulting Numbers: [39, 84, 64] Generated Node #2: [39, 84, 64] from Operation: 80-16=64 Current State: 19:[39, 84, 64], Operations: ['80-16=64'] Exploring Operation: 84-39=45, Resulting Numbers: [64, 45] Generated Node #3: [64, 45] from Operation: 84-39=45 Current State: 19:[64, 45], Operations: ['80-16=64', '84-39=45'] Exploring Operation: 64-45=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 66, 14, 53, 11 ]
33
[ "66/11=6", "53-14=39", "39-6=33" ]
Current State: 33:[66, 14, 53, 11], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [14, 53, 6] Generated Node #2: [14, 53, 6] from Operation: 66/11=6 Current State: 33:[14, 53, 6], Operations: ['66/11=6'] Exploring Operation: 53-14=39, Resulting Numbers: [6, 39] Generated Node #3: [6, 39] from Operation: 53-14=39 Current State: 33:[6, 39], Operations: ['66/11=6', '53-14=39'] Exploring Operation: 39-6=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 74, 5, 72, 57 ]
13
[ "74-57=17", "5*17=85", "85-72=13" ]
Current State: 13:[74, 5, 72, 57], Operations: [] Exploring Operation: 74-57=17, Resulting Numbers: [5, 72, 17] Generated Node #2: [5, 72, 17] from Operation: 74-57=17 Current State: 13:[5, 72, 17], Operations: ['74-57=17'] Exploring Operation: 5*17=85, Resulting Numbers: [72, 85] Generated Node #3: [72, 85] from Operation: 5*17=85 Current State: 13:[72, 85], Operations: ['74-57=17', '5*17=85'] Exploring Operation: 85-72=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 60, 5, 45, 46 ]
15
[ "5+45=50", "50-46=4", "60/4=15" ]
Current State: 15:[60, 5, 45, 46], Operations: [] Exploring Operation: 5+45=50, Resulting Numbers: [60, 46, 50] Generated Node #2: [60, 46, 50] from Operation: 5+45=50 Current State: 15:[60, 46, 50], Operations: ['5+45=50'] Exploring Operation: 50-46=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 50-46=4 Current State: 15:[60, 4], Operations: ['5+45=50', '50-46=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 75, 67, 57, 71 ]
22
[ "75-67=8", "71-57=14", "8+14=22" ]
Current State: 22:[75, 67, 57, 71], Operations: [] Exploring Operation: 75-67=8, Resulting Numbers: [57, 71, 8] Generated Node #2: [57, 71, 8] from Operation: 75-67=8 Current State: 22:[57, 71, 8], Operations: ['75-67=8'] Exploring Operation: 71-57=14, Resulting Numbers: [8, 14] Generated Node #3: [8, 14] from Operation: 71-57=14 Current State: 22:[8, 14], Operations: ['75-67=8', '71-57=14'] Exploring Operation: 8+14=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 48, 48, 96, 51 ]
46
[ "48/48=1", "96-51=45", "1+45=46" ]
Current State: 46:[48, 48, 96, 51], Operations: [] Exploring Operation: 48/48=1, Resulting Numbers: [96, 51, 1] Generated Node #2: [96, 51, 1] from Operation: 48/48=1 Current State: 46:[96, 51, 1], Operations: ['48/48=1'] Exploring Operation: 96-51=45, Resulting Numbers: [1, 45] Generated Node #3: [1, 45] from Operation: 96-51=45 Current State: 46:[1, 45], Operations: ['48/48=1', '96-51=45'] Exploring Operation: 1+45=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 64, 53, 12, 51 ]
52
[ "64-53=11", "12+51=63", "63-11=52" ]
Current State: 52:[64, 53, 12, 51], Operations: [] Exploring Operation: 64-53=11, Resulting Numbers: [12, 51, 11] Generated Node #2: [12, 51, 11] from Operation: 64-53=11 Current State: 52:[12, 51, 11], Operations: ['64-53=11'] Exploring Operation: 12+51=63, Resulting Numbers: [11, 63] Generated Node #3: [11, 63] from Operation: 12+51=63 Current State: 52:[11, 63], Operations: ['64-53=11', '12+51=63'] Exploring Operation: 63-11=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 64, 68, 16, 32 ]
30
[ "68*16=1088", "1088/32=34", "64-34=30" ]
Current State: 30:[64, 68, 16, 32], Operations: [] Exploring Operation: 68*16=1088, Resulting Numbers: [64, 32, 1088] Generated Node #2: [64, 32, 1088] from Operation: 68*16=1088 Current State: 30:[64, 32, 1088], Operations: ['68*16=1088'] Exploring Operation: 1088/32=34, Resulting Numbers: [64, 34] Generated Node #3: [64, 34] from Operation: 1088/32=34 Current State: 30:[64, 34], Operations: ['68*16=1088', '1088/32=34'] Exploring Operation: 64-34=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 48, 87, 42, 48 ]
95
[ "48-42=6", "48/6=8", "87+8=95" ]
Current State: 95:[48, 87, 42, 48], Operations: [] Exploring Operation: 48-42=6, Resulting Numbers: [87, 6] Generated Node #2: [87, 6] from Operation: 48-42=6 Current State: 95:[87, 6], Operations: ['48-42=6'] Exploring Operation: 48/6=8, Resulting Numbers: [87, 8] Generated Node #3: [87, 8] from Operation: 48/6=8 Current State: 95:[87, 8], Operations: ['48-42=6', '48/6=8'] Exploring Operation: 87+8=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 52, 10, 4, 5 ]
72
[ "10-5=5", "4*5=20", "52+20=72" ]
Current State: 72:[52, 10, 4, 5], Operations: [] Exploring Operation: 10-5=5, Resulting Numbers: [52, 4, 5] Generated Node #2: [52, 4, 5] from Operation: 10-5=5 Current State: 72:[52, 4, 5], Operations: ['10-5=5'] Exploring Operation: 4*5=20, Resulting Numbers: [52, 20] Generated Node #3: [52, 20] from Operation: 4*5=20 Current State: 72:[52, 20], Operations: ['10-5=5', '4*5=20'] Exploring Operation: 52+20=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 64, 44, 28, 36 ]
12
[ "64-44=20", "36-28=8", "20-8=12" ]
Current State: 12:[64, 44, 28, 36], Operations: [] Exploring Operation: 64-44=20, Resulting Numbers: [28, 36, 20] Generated Node #2: [28, 36, 20] from Operation: 64-44=20 Current State: 12:[28, 36, 20], Operations: ['64-44=20'] Exploring Operation: 36-28=8, Resulting Numbers: [20, 8] Generated Node #3: [20, 8] from Operation: 36-28=8 Current State: 12:[20, 8], Operations: ['64-44=20', '36-28=8'] Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 1, 44, 72, 55 ]
62
[ "1+44=45", "72-55=17", "45+17=62" ]
Current State: 62:[1, 44, 72, 55], Operations: [] Exploring Operation: 1+44=45, Resulting Numbers: [72, 55, 45] Generated Node #2: [72, 55, 45] from Operation: 1+44=45 Current State: 62:[72, 55, 45], Operations: ['1+44=45'] Exploring Operation: 72-55=17, Resulting Numbers: [45, 17] Generated Node #3: [45, 17] from Operation: 72-55=17 Current State: 62:[45, 17], Operations: ['1+44=45', '72-55=17'] Exploring Operation: 45+17=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 42, 28, 97, 7 ]
51
[ "97-42=55", "28/7=4", "55-4=51" ]
Current State: 51:[42, 28, 97, 7], Operations: [] Exploring Operation: 97-42=55, Resulting Numbers: [28, 7, 55] Generated Node #2: [28, 7, 55] from Operation: 97-42=55 Current State: 51:[28, 7, 55], Operations: ['97-42=55'] Exploring Operation: 28/7=4, Resulting Numbers: [55, 4] Generated Node #3: [55, 4] from Operation: 28/7=4 Current State: 51:[55, 4], Operations: ['97-42=55', '28/7=4'] Exploring Operation: 55-4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 55, 40, 64, 11 ]
80
[ "64-55=9", "11-9=2", "40*2=80" ]
Current State: 80:[55, 40, 64, 11], Operations: [] Exploring Operation: 64-55=9, Resulting Numbers: [40, 11, 9] Generated Node #2: [40, 11, 9] from Operation: 64-55=9 Current State: 80:[40, 11, 9], Operations: ['64-55=9'] Exploring Operation: 11-9=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 11-9=2 Current State: 80:[40, 2], Operations: ['64-55=9', '11-9=2'] Exploring Operation: 40*2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 80, 31, 43, 60 ]
16
[ "43-31=12", "80*12=960", "960/60=16" ]
Current State: 16:[80, 31, 43, 60], Operations: [] Exploring Operation: 43-31=12, Resulting Numbers: [80, 60, 12] Generated Node #2: [80, 60, 12] from Operation: 43-31=12 Current State: 16:[80, 60, 12], Operations: ['43-31=12'] Exploring Operation: 80*12=960, Resulting Numbers: [60, 960] Generated Node #3: [60, 960] from Operation: 80*12=960 Current State: 16:[60, 960], Operations: ['43-31=12', '80*12=960'] Exploring Operation: 960/60=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 72, 82, 29, 51 ]
74
[ "72+82=154", "29+51=80", "154-80=74" ]
Current State: 74:[72, 82, 29, 51], Operations: [] Exploring Operation: 72+82=154, Resulting Numbers: [29, 51, 154] Generated Node #2: [29, 51, 154] from Operation: 72+82=154 Current State: 74:[29, 51, 154], Operations: ['72+82=154'] Exploring Operation: 29+51=80, Resulting Numbers: [154, 80] Generated Node #3: [154, 80] from Operation: 29+51=80 Current State: 74:[154, 80], Operations: ['72+82=154', '29+51=80'] Exploring Operation: 154-80=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 67, 92, 52, 56 ]
29
[ "92-67=25", "56-52=4", "25+4=29" ]
Current State: 29:[67, 92, 52, 56], Operations: [] Exploring Operation: 92-67=25, Resulting Numbers: [52, 56, 25] Generated Node #2: [52, 56, 25] from Operation: 92-67=25 Current State: 29:[52, 56, 25], Operations: ['92-67=25'] Exploring Operation: 56-52=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 56-52=4 Current State: 29:[25, 4], Operations: ['92-67=25', '56-52=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 94, 36, 25, 5 ]
28
[ "94-36=58", "25+5=30", "58-30=28" ]
Current State: 28:[94, 36, 25, 5], Operations: [] Exploring Operation: 94-36=58, Resulting Numbers: [25, 5, 58] Generated Node #2: [25, 5, 58] from Operation: 94-36=58 Current State: 28:[25, 5, 58], Operations: ['94-36=58'] Exploring Operation: 25+5=30, Resulting Numbers: [58, 30] Generated Node #3: [58, 30] from Operation: 25+5=30 Current State: 28:[58, 30], Operations: ['94-36=58', '25+5=30'] Exploring Operation: 58-30=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 71, 94, 51, 68 ]
59
[ "71-68=3", "51*3=153", "153-94=59" ]
Current State: 59:[71, 94, 51, 68], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [94, 51, 3] Generated Node #2: [94, 51, 3] from Operation: 71-68=3 Current State: 59:[94, 51, 3], Operations: ['71-68=3'] Exploring Operation: 51*3=153, Resulting Numbers: [94, 153] Generated Node #3: [94, 153] from Operation: 51*3=153 Current State: 59:[94, 153], Operations: ['71-68=3', '51*3=153'] Exploring Operation: 153-94=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 42, 9, 72, 45 ]
56
[ "42*72=3024", "9+45=54", "3024/54=56" ]
Current State: 56:[42, 9, 72, 45], Operations: [] Exploring Operation: 42*72=3024, Resulting Numbers: [9, 45, 3024] Generated Node #2: [9, 45, 3024] from Operation: 42*72=3024 Current State: 56:[9, 45, 3024], Operations: ['42*72=3024'] Exploring Operation: 9+45=54, Resulting Numbers: [3024, 54] Generated Node #3: [3024, 54] from Operation: 9+45=54 Current State: 56:[3024, 54], Operations: ['42*72=3024', '9+45=54'] Exploring Operation: 3024/54=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 1, 50, 40, 89 ]
79
[ "1*50=50", "40+89=129", "129-50=79" ]
Current State: 79:[1, 50, 40, 89], Operations: [] Exploring Operation: 1*50=50, Resulting Numbers: [40, 89, 50] Generated Node #2: [40, 89, 50] from Operation: 1*50=50 Current State: 79:[40, 89, 50], Operations: ['1*50=50'] Exploring Operation: 40+89=129, Resulting Numbers: [50, 129] Generated Node #3: [50, 129] from Operation: 40+89=129 Current State: 79:[50, 129], Operations: ['1*50=50', '40+89=129'] Exploring Operation: 129-50=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 3, 80, 71, 85 ]
63
[ "80-3=77", "85-71=14", "77-14=63" ]
Current State: 63:[3, 80, 71, 85], Operations: [] Exploring Operation: 80-3=77, Resulting Numbers: [71, 85, 77] Generated Node #2: [71, 85, 77] from Operation: 80-3=77 Current State: 63:[71, 85, 77], Operations: ['80-3=77'] Exploring Operation: 85-71=14, Resulting Numbers: [77, 14] Generated Node #3: [77, 14] from Operation: 85-71=14 Current State: 63:[77, 14], Operations: ['80-3=77', '85-71=14'] Exploring Operation: 77-14=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 7, 43, 44, 64 ]
56
[ "43-7=36", "64-44=20", "36+20=56" ]
Current State: 56:[7, 43, 44, 64], Operations: [] Exploring Operation: 43-7=36, Resulting Numbers: [44, 64, 36] Generated Node #2: [44, 64, 36] from Operation: 43-7=36 Current State: 56:[44, 64, 36], Operations: ['43-7=36'] Exploring Operation: 64-44=20, Resulting Numbers: [36, 20] Generated Node #3: [36, 20] from Operation: 64-44=20 Current State: 56:[36, 20], Operations: ['43-7=36', '64-44=20'] Exploring Operation: 36+20=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 18, 29, 42, 33 ]
48
[ "42*33=1386", "1386/18=77", "77-29=48" ]
Current State: 48:[18, 29, 42, 33], Operations: [] Exploring Operation: 42*33=1386, Resulting Numbers: [18, 29, 1386] Generated Node #2: [18, 29, 1386] from Operation: 42*33=1386 Current State: 48:[18, 29, 1386], Operations: ['42*33=1386'] Exploring Operation: 1386/18=77, Resulting Numbers: [29, 77] Generated Node #3: [29, 77] from Operation: 1386/18=77 Current State: 48:[29, 77], Operations: ['42*33=1386', '1386/18=77'] Exploring Operation: 77-29=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 7, 47, 43, 49 ]
97
[ "49/7=7", "47+43=90", "7+90=97" ]
Current State: 97:[7, 47, 43, 49], Operations: [] Exploring Operation: 49/7=7, Resulting Numbers: [47, 43, 7] Generated Node #2: [47, 43, 7] from Operation: 49/7=7 Current State: 97:[47, 43, 7], Operations: ['49/7=7'] Exploring Operation: 47+43=90, Resulting Numbers: [7, 90] Generated Node #3: [7, 90] from Operation: 47+43=90 Current State: 97:[7, 90], Operations: ['49/7=7', '47+43=90'] Exploring Operation: 7+90=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 16, 3, 6, 42 ]
27
[ "42/6=7", "16-7=9", "3*9=27" ]
Current State: 27:[16, 3, 6, 42], Operations: [] Exploring Operation: 42/6=7, Resulting Numbers: [16, 3, 7] Generated Node #2: [16, 3, 7] from Operation: 42/6=7 Current State: 27:[16, 3, 7], Operations: ['42/6=7'] Exploring Operation: 16-7=9, Resulting Numbers: [3, 9] Generated Node #3: [3, 9] from Operation: 16-7=9 Current State: 27:[3, 9], Operations: ['42/6=7', '16-7=9'] Exploring Operation: 3*9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4