nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 38, 53, 65, 60 ]
10
[ "53-38=15", "65-60=5", "15-5=10" ]
Current State: 10:[38, 53, 65, 60], Operations: [] Exploring Operation: 53-38=15, Resulting Numbers: [65, 60, 15] Generated Node #2: [65, 60, 15] from Operation: 53-38=15 Current State: 10:[65, 60, 15], Operations: ['53-38=15'] Exploring Operation: 65-60=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 65-60=5 Current State: 10:[15, 5], Operations: ['53-38=15', '65-60=5'] Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 24, 28, 83, 3 ]
84
[ "28-24=4", "83-3=80", "4+80=84" ]
Current State: 84:[24, 28, 83, 3], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [83, 3, 4] Generated Node #2: [83, 3, 4] from Operation: 28-24=4 Current State: 84:[83, 3, 4], Operations: ['28-24=4'] Exploring Operation: 83-3=80, Resulting Numbers: [4, 80] Generated Node #3: [4, 80] from Operation: 83-3=80 Current State: 84:[4, 80], Operations: ['28-24=4', '83-3=80'] Exploring Operation: 4+80=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 54, 90, 30, 21 ]
15
[ "90-54=36", "30+21=51", "51-36=15" ]
Current State: 15:[54, 90, 30, 21], Operations: [] Exploring Operation: 90-54=36, Resulting Numbers: [30, 21, 36] Generated Node #2: [30, 21, 36] from Operation: 90-54=36 Current State: 15:[30, 21, 36], Operations: ['90-54=36'] Exploring Operation: 30+21=51, Resulting Numbers: [36, 51] Generated Node #3: [36, 51] from Operation: 30+21=51 Current State: 15:[36, 51], Operations: ['90-54=36', '30+21=51'] Exploring Operation: 51-36=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 36, 14, 9, 56 ]
25
[ "36-14=22", "56-9=47", "47-22=25" ]
Current State: 25:[36, 14, 9, 56], Operations: [] Exploring Operation: 36-14=22, Resulting Numbers: [9, 56, 22] Generated Node #2: [9, 56, 22] from Operation: 36-14=22 Current State: 25:[9, 56, 22], Operations: ['36-14=22'] Exploring Operation: 56-9=47, Resulting Numbers: [22, 47] Generated Node #3: [22, 47] from Operation: 56-9=47 Current State: 25:[22, 47], Operations: ['36-14=22', '56-9=47'] Exploring Operation: 47-22=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 11, 10, 51, 63 ]
13
[ "11-10=1", "63-51=12", "1+12=13" ]
Current State: 13:[11, 10, 51, 63], Operations: [] Exploring Operation: 11-10=1, Resulting Numbers: [51, 63, 1] Generated Node #2: [51, 63, 1] from Operation: 11-10=1 Current State: 13:[51, 63, 1], Operations: ['11-10=1'] Exploring Operation: 63-51=12, Resulting Numbers: [1, 12] Generated Node #3: [1, 12] from Operation: 63-51=12 Current State: 13:[1, 12], Operations: ['11-10=1', '63-51=12'] Exploring Operation: 1+12=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 28, 42, 4, 24 ]
53
[ "28*42=1176", "1176/24=49", "4+49=53" ]
Current State: 53:[28, 42, 4, 24], Operations: [] Exploring Operation: 28*42=1176, Resulting Numbers: [4, 24, 1176] Generated Node #2: [4, 24, 1176] from Operation: 28*42=1176 Current State: 53:[4, 24, 1176], Operations: ['28*42=1176'] Exploring Operation: 1176/24=49, Resulting Numbers: [4, 49] Generated Node #3: [4, 49] from Operation: 1176/24=49 Current State: 53:[4, 49], Operations: ['28*42=1176', '1176/24=49'] Exploring Operation: 4+49=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 98, 76, 60, 73 ]
71
[ "98-60=38", "76/38=2", "73-2=71" ]
Current State: 71:[98, 76, 60, 73], Operations: [] Exploring Operation: 98-60=38, Resulting Numbers: [76, 73, 38] Generated Node #2: [76, 73, 38] from Operation: 98-60=38 Current State: 71:[76, 73, 38], Operations: ['98-60=38'] Exploring Operation: 76/38=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 76/38=2 Current State: 71:[73, 2], Operations: ['98-60=38', '76/38=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 63, 12, 53, 62 ]
60
[ "63-12=51", "62-53=9", "51+9=60" ]
Current State: 60:[63, 12, 53, 62], Operations: [] Exploring Operation: 63-12=51, Resulting Numbers: [53, 62, 51] Generated Node #2: [53, 62, 51] from Operation: 63-12=51 Current State: 60:[53, 62, 51], Operations: ['63-12=51'] Exploring Operation: 62-53=9, Resulting Numbers: [51, 9] Generated Node #3: [51, 9] from Operation: 62-53=9 Current State: 60:[51, 9], Operations: ['63-12=51', '62-53=9'] Exploring Operation: 51+9=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 23, 5, 34, 17 ]
42
[ "23+17=40", "40/5=8", "34+8=42" ]
Current State: 42:[23, 5, 34, 17], Operations: [] Exploring Operation: 23+17=40, Resulting Numbers: [5, 34, 40] Generated Node #2: [5, 34, 40] from Operation: 23+17=40 Current State: 42:[5, 34, 40], Operations: ['23+17=40'] Exploring Operation: 40/5=8, Resulting Numbers: [34, 8] Generated Node #3: [34, 8] from Operation: 40/5=8 Current State: 42:[34, 8], Operations: ['23+17=40', '40/5=8'] Exploring Operation: 34+8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 36, 19, 2, 62 ]
30
[ "36+62=98", "98/2=49", "49-19=30" ]
Current State: 30:[36, 19, 2, 62], Operations: [] Exploring Operation: 36+62=98, Resulting Numbers: [19, 2, 98] Generated Node #2: [19, 2, 98] from Operation: 36+62=98 Current State: 30:[19, 2, 98], Operations: ['36+62=98'] Exploring Operation: 98/2=49, Resulting Numbers: [19, 49] Generated Node #3: [19, 49] from Operation: 98/2=49 Current State: 30:[19, 49], Operations: ['36+62=98', '98/2=49'] Exploring Operation: 49-19=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 65, 62, 90, 43 ]
80
[ "65+62=127", "90-43=47", "127-47=80" ]
Current State: 80:[65, 62, 90, 43], Operations: [] Exploring Operation: 65+62=127, Resulting Numbers: [90, 43, 127] Generated Node #2: [90, 43, 127] from Operation: 65+62=127 Current State: 80:[90, 43, 127], Operations: ['65+62=127'] Exploring Operation: 90-43=47, Resulting Numbers: [127, 47] Generated Node #3: [127, 47] from Operation: 90-43=47 Current State: 80:[127, 47], Operations: ['65+62=127', '90-43=47'] Exploring Operation: 127-47=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 2, 92, 54, 50 ]
69
[ "54/2=27", "92-50=42", "27+42=69" ]
Current State: 69:[2, 92, 54, 50], Operations: [] Exploring Operation: 54/2=27, Resulting Numbers: [92, 50, 27] Generated Node #2: [92, 50, 27] from Operation: 54/2=27 Current State: 69:[92, 50, 27], Operations: ['54/2=27'] Exploring Operation: 92-50=42, Resulting Numbers: [27, 42] Generated Node #3: [27, 42] from Operation: 92-50=42 Current State: 69:[27, 42], Operations: ['54/2=27', '92-50=42'] Exploring Operation: 27+42=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 61, 92, 16, 86 ]
83
[ "61+92=153", "86-16=70", "153-70=83" ]
Current State: 83:[61, 92, 16, 86], Operations: [] Exploring Operation: 61+92=153, Resulting Numbers: [16, 86, 153] Generated Node #2: [16, 86, 153] from Operation: 61+92=153 Current State: 83:[16, 86, 153], Operations: ['61+92=153'] Exploring Operation: 86-16=70, Resulting Numbers: [153, 70] Generated Node #3: [153, 70] from Operation: 86-16=70 Current State: 83:[153, 70], Operations: ['61+92=153', '86-16=70'] Exploring Operation: 153-70=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 17, 22, 34, 37 ]
76
[ "22-17=5", "34+37=71", "5+71=76" ]
Current State: 76:[17, 22, 34, 37], Operations: [] Exploring Operation: 22-17=5, Resulting Numbers: [34, 37, 5] Generated Node #2: [34, 37, 5] from Operation: 22-17=5 Current State: 76:[34, 37, 5], Operations: ['22-17=5'] Exploring Operation: 34+37=71, Resulting Numbers: [5, 71] Generated Node #3: [5, 71] from Operation: 34+37=71 Current State: 76:[5, 71], Operations: ['22-17=5', '34+37=71'] Exploring Operation: 5+71=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 62, 37, 3, 4 ]
26
[ "62-37=25", "4-3=1", "25+1=26" ]
Current State: 26:[62, 37, 3, 4], Operations: [] Exploring Operation: 62-37=25, Resulting Numbers: [3, 4, 25] Generated Node #2: [3, 4, 25] from Operation: 62-37=25 Current State: 26:[3, 4, 25], Operations: ['62-37=25'] Exploring Operation: 4-3=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 4-3=1 Current State: 26:[25, 1], Operations: ['62-37=25', '4-3=1'] Exploring Operation: 25+1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 9, 87, 83, 64 ]
84
[ "83-64=19", "9*19=171", "171-87=84" ]
Current State: 84:[9, 87, 83, 64], Operations: [] Exploring Operation: 83-64=19, Resulting Numbers: [9, 87, 19] Generated Node #2: [9, 87, 19] from Operation: 83-64=19 Current State: 84:[9, 87, 19], Operations: ['83-64=19'] Exploring Operation: 9*19=171, Resulting Numbers: [87, 171] Generated Node #3: [87, 171] from Operation: 9*19=171 Current State: 84:[87, 171], Operations: ['83-64=19', '9*19=171'] Exploring Operation: 171-87=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 21, 38, 36, 71 ]
24
[ "21+38=59", "71-36=35", "59-35=24" ]
Current State: 24:[21, 38, 36, 71], Operations: [] Exploring Operation: 21+38=59, Resulting Numbers: [36, 71, 59] Generated Node #2: [36, 71, 59] from Operation: 21+38=59 Current State: 24:[36, 71, 59], Operations: ['21+38=59'] Exploring Operation: 71-36=35, Resulting Numbers: [59, 35] Generated Node #3: [59, 35] from Operation: 71-36=35 Current State: 24:[59, 35], Operations: ['21+38=59', '71-36=35'] Exploring Operation: 59-35=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 2, 87, 90, 31 ]
99
[ "2+31=33", "90-87=3", "33*3=99" ]
Current State: 99:[2, 87, 90, 31], Operations: [] Exploring Operation: 2+31=33, Resulting Numbers: [87, 90, 33] Generated Node #2: [87, 90, 33] from Operation: 2+31=33 Current State: 99:[87, 90, 33], Operations: ['2+31=33'] Exploring Operation: 90-87=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 90-87=3 Current State: 99:[33, 3], Operations: ['2+31=33', '90-87=3'] Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 40, 4, 76, 60 ]
36
[ "76-60=16", "16/4=4", "40-4=36" ]
Current State: 36:[40, 4, 76, 60], Operations: [] Exploring Operation: 76-60=16, Resulting Numbers: [40, 4, 16] Generated Node #2: [40, 4, 16] from Operation: 76-60=16 Current State: 36:[40, 4, 16], Operations: ['76-60=16'] Exploring Operation: 16/4=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 16/4=4 Current State: 36:[40, 4], Operations: ['76-60=16', '16/4=4'] Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 59, 60, 35, 65 ]
30
[ "60-59=1", "65-35=30", "1*30=30" ]
Current State: 30:[59, 60, 35, 65], Operations: [] Exploring Operation: 60-59=1, Resulting Numbers: [35, 65, 1] Generated Node #2: [35, 65, 1] from Operation: 60-59=1 Current State: 30:[35, 65, 1], Operations: ['60-59=1'] Exploring Operation: 65-35=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operation: 65-35=30 Current State: 30:[1, 30], Operations: ['60-59=1', '65-35=30'] Exploring Operation: 1*30=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 76, 46, 66, 64 ]
11
[ "76-66=10", "46+64=110", "110/10=11" ]
Current State: 11:[76, 46, 66, 64], Operations: [] Exploring Operation: 76-66=10, Resulting Numbers: [46, 64, 10] Generated Node #2: [46, 64, 10] from Operation: 76-66=10 Current State: 11:[46, 64, 10], Operations: ['76-66=10'] Exploring Operation: 46+64=110, Resulting Numbers: [10, 110] Generated Node #3: [10, 110] from Operation: 46+64=110 Current State: 11:[10, 110], Operations: ['76-66=10', '46+64=110'] Exploring Operation: 110/10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 24, 9, 36, 45 ]
40
[ "24*45=1080", "36-9=27", "1080/27=40" ]
Current State: 40:[24, 9, 36, 45], Operations: [] Exploring Operation: 24*45=1080, Resulting Numbers: [9, 36, 1080] Generated Node #2: [9, 36, 1080] from Operation: 24*45=1080 Current State: 40:[9, 36, 1080], Operations: ['24*45=1080'] Exploring Operation: 36-9=27, Resulting Numbers: [1080, 27] Generated Node #3: [1080, 27] from Operation: 36-9=27 Current State: 40:[1080, 27], Operations: ['24*45=1080', '36-9=27'] Exploring Operation: 1080/27=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 27, 34, 82, 42 ]
21
[ "27+34=61", "82-42=40", "61-40=21" ]
Current State: 21:[27, 34, 82, 42], Operations: [] Exploring Operation: 27+34=61, Resulting Numbers: [82, 42, 61] Generated Node #2: [82, 42, 61] from Operation: 27+34=61 Current State: 21:[82, 42, 61], Operations: ['27+34=61'] Exploring Operation: 82-42=40, Resulting Numbers: [61, 40] Generated Node #3: [61, 40] from Operation: 82-42=40 Current State: 21:[61, 40], Operations: ['27+34=61', '82-42=40'] Exploring Operation: 61-40=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 82, 16, 31, 11 ]
83
[ "31-16=15", "11*15=165", "165-82=83" ]
Current State: 83:[82, 16, 31, 11], Operations: [] Exploring Operation: 31-16=15, Resulting Numbers: [82, 11, 15] Generated Node #2: [82, 11, 15] from Operation: 31-16=15 Current State: 83:[82, 11, 15], Operations: ['31-16=15'] Exploring Operation: 11*15=165, Resulting Numbers: [82, 165] Generated Node #3: [82, 165] from Operation: 11*15=165 Current State: 83:[82, 165], Operations: ['31-16=15', '11*15=165'] Exploring Operation: 165-82=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 61, 60, 82, 38 ]
44
[ "61-60=1", "82-38=44", "1*44=44" ]
Current State: 44:[61, 60, 82, 38], Operations: [] Exploring Operation: 61-60=1, Resulting Numbers: [82, 38, 1] Generated Node #2: [82, 38, 1] from Operation: 61-60=1 Current State: 44:[82, 38, 1], Operations: ['61-60=1'] Exploring Operation: 82-38=44, Resulting Numbers: [1, 44] Generated Node #3: [1, 44] from Operation: 82-38=44 Current State: 44:[1, 44], Operations: ['61-60=1', '82-38=44'] Exploring Operation: 1*44=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 20, 62, 68, 57 ]
83
[ "62-20=42", "68+57=125", "125-42=83" ]
Current State: 83:[20, 62, 68, 57], Operations: [] Exploring Operation: 62-20=42, Resulting Numbers: [68, 57, 42] Generated Node #2: [68, 57, 42] from Operation: 62-20=42 Current State: 83:[68, 57, 42], Operations: ['62-20=42'] Exploring Operation: 68+57=125, Resulting Numbers: [42, 125] Generated Node #3: [42, 125] from Operation: 68+57=125 Current State: 83:[42, 125], Operations: ['62-20=42', '68+57=125'] Exploring Operation: 125-42=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 95, 58, 60, 35 ]
57
[ "95-60=35", "35/35=1", "58-1=57" ]
Current State: 57:[95, 58, 60, 35], Operations: [] Exploring Operation: 95-60=35, Resulting Numbers: [58, 35, 35] Generated Node #2: [58, 35, 35] from Operation: 95-60=35 Current State: 57:[58, 35, 35], Operations: ['95-60=35'] Exploring Operation: 35/35=1, Resulting Numbers: [58, 1] Generated Node #3: [58, 1] from Operation: 35/35=1 Current State: 57:[58, 1], Operations: ['95-60=35', '35/35=1'] Exploring Operation: 58-1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 2, 74, 25, 85 ]
44
[ "85-25=60", "60/2=30", "74-30=44" ]
Current State: 44:[2, 74, 25, 85], Operations: [] Exploring Operation: 85-25=60, Resulting Numbers: [2, 74, 60] Generated Node #2: [2, 74, 60] from Operation: 85-25=60 Current State: 44:[2, 74, 60], Operations: ['85-25=60'] Exploring Operation: 60/2=30, Resulting Numbers: [74, 30] Generated Node #3: [74, 30] from Operation: 60/2=30 Current State: 44:[74, 30], Operations: ['85-25=60', '60/2=30'] Exploring Operation: 74-30=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 4, 51, 95, 61 ]
98
[ "4*61=244", "51+95=146", "244-146=98" ]
Current State: 98:[4, 51, 95, 61], Operations: [] Exploring Operation: 4*61=244, Resulting Numbers: [51, 95, 244] Generated Node #2: [51, 95, 244] from Operation: 4*61=244 Current State: 98:[51, 95, 244], Operations: ['4*61=244'] Exploring Operation: 51+95=146, Resulting Numbers: [244, 146] Generated Node #3: [244, 146] from Operation: 51+95=146 Current State: 98:[244, 146], Operations: ['4*61=244', '51+95=146'] Exploring Operation: 244-146=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 38, 9, 54, 18 ]
16
[ "38*9=342", "342-54=288", "288/18=16" ]
Current State: 16:[38, 9, 54, 18], Operations: [] Exploring Operation: 38*9=342, Resulting Numbers: [54, 18, 342] Generated Node #2: [54, 18, 342] from Operation: 38*9=342 Current State: 16:[54, 18, 342], Operations: ['38*9=342'] Exploring Operation: 342-54=288, Resulting Numbers: [18, 288] Generated Node #3: [18, 288] from Operation: 342-54=288 Current State: 16:[18, 288], Operations: ['38*9=342', '342-54=288'] Exploring Operation: 288/18=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 88, 15, 89, 68 ]
53
[ "89-88=1", "68-15=53", "1*53=53" ]
Current State: 53:[88, 15, 89, 68], Operations: [] Exploring Operation: 89-88=1, Resulting Numbers: [15, 68, 1] Generated Node #2: [15, 68, 1] from Operation: 89-88=1 Current State: 53:[15, 68, 1], Operations: ['89-88=1'] Exploring Operation: 68-15=53, Resulting Numbers: [1, 53] Generated Node #3: [1, 53] from Operation: 68-15=53 Current State: 53:[1, 53], Operations: ['89-88=1', '68-15=53'] Exploring Operation: 1*53=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 13, 55, 6 ]
51
[ "13-3=10", "55+6=61", "61-10=51" ]
Current State: 51:[3, 13, 55, 6], Operations: [] Exploring Operation: 13-3=10, Resulting Numbers: [55, 6, 10] Generated Node #2: [55, 6, 10] from Operation: 13-3=10 Current State: 51:[55, 6, 10], Operations: ['13-3=10'] Exploring Operation: 55+6=61, Resulting Numbers: [10, 61] Generated Node #3: [10, 61] from Operation: 55+6=61 Current State: 51:[10, 61], Operations: ['13-3=10', '55+6=61'] Exploring Operation: 61-10=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 46, 84, 1, 42 ]
47
[ "46-1=45", "84/42=2", "45+2=47" ]
Current State: 47:[46, 84, 1, 42], Operations: [] Exploring Operation: 46-1=45, Resulting Numbers: [84, 42, 45] Generated Node #2: [84, 42, 45] from Operation: 46-1=45 Current State: 47:[84, 42, 45], Operations: ['46-1=45'] Exploring Operation: 84/42=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 84/42=2 Current State: 47:[45, 2], Operations: ['46-1=45', '84/42=2'] Exploring Operation: 45+2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 76, 14, 39, 65 ]
42
[ "76-14=62", "39+65=104", "104-62=42" ]
Current State: 42:[76, 14, 39, 65], Operations: [] Exploring Operation: 76-14=62, Resulting Numbers: [39, 65, 62] Generated Node #2: [39, 65, 62] from Operation: 76-14=62 Current State: 42:[39, 65, 62], Operations: ['76-14=62'] Exploring Operation: 39+65=104, Resulting Numbers: [62, 104] Generated Node #3: [62, 104] from Operation: 39+65=104 Current State: 42:[62, 104], Operations: ['76-14=62', '39+65=104'] Exploring Operation: 104-62=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 16, 24, 32, 20 ]
20
[ "24-16=8", "32-20=12", "8+12=20" ]
Current State: 20:[16, 24, 32, 20], Operations: [] Exploring Operation: 24-16=8, Resulting Numbers: [32, 20, 8] Generated Node #2: [32, 20, 8] from Operation: 24-16=8 Current State: 20:[32, 20, 8], Operations: ['24-16=8'] Exploring Operation: 32-20=12, Resulting Numbers: [8, 12] Generated Node #3: [8, 12] from Operation: 32-20=12 Current State: 20:[8, 12], Operations: ['24-16=8', '32-20=12'] Exploring Operation: 8+12=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 81, 10, 22, 54 ]
50
[ "81-22=59", "59-54=5", "10*5=50" ]
Current State: 50:[81, 10, 22, 54], Operations: [] Exploring Operation: 81-22=59, Resulting Numbers: [10, 54, 59] Generated Node #2: [10, 54, 59] from Operation: 81-22=59 Current State: 50:[10, 54, 59], Operations: ['81-22=59'] Exploring Operation: 59-54=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 59-54=5 Current State: 50:[10, 5], Operations: ['81-22=59', '59-54=5'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 6, 36, 13, 51 ]
93
[ "6*13=78", "51-36=15", "78+15=93" ]
Current State: 93:[6, 36, 13, 51], Operations: [] Exploring Operation: 6*13=78, Resulting Numbers: [36, 51, 78] Generated Node #2: [36, 51, 78] from Operation: 6*13=78 Current State: 93:[36, 51, 78], Operations: ['6*13=78'] Exploring Operation: 51-36=15, Resulting Numbers: [78, 15] Generated Node #3: [78, 15] from Operation: 51-36=15 Current State: 93:[78, 15], Operations: ['6*13=78', '51-36=15'] Exploring Operation: 78+15=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 7, 60, 40, 44 ]
63
[ "7+60=67", "44-40=4", "67-4=63" ]
Current State: 63:[7, 60, 40, 44], Operations: [] Exploring Operation: 7+60=67, Resulting Numbers: [40, 44, 67] Generated Node #2: [40, 44, 67] from Operation: 7+60=67 Current State: 63:[40, 44, 67], Operations: ['7+60=67'] Exploring Operation: 44-40=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 44-40=4 Current State: 63:[67, 4], Operations: ['7+60=67', '44-40=4'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 48, 89, 31, 37 ]
97
[ "37-31=6", "48/6=8", "89+8=97" ]
Current State: 97:[48, 89, 31, 37], Operations: [] Exploring Operation: 37-31=6, Resulting Numbers: [48, 89, 6] Generated Node #2: [48, 89, 6] from Operation: 37-31=6 Current State: 97:[48, 89, 6], Operations: ['37-31=6'] Exploring Operation: 48/6=8, Resulting Numbers: [89, 8] Generated Node #3: [89, 8] from Operation: 48/6=8 Current State: 97:[89, 8], Operations: ['37-31=6', '48/6=8'] Exploring Operation: 89+8=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 48, 27, 1, 21 ]
64
[ "27+1=28", "48*28=1344", "1344/21=64" ]
Current State: 64:[48, 27, 1, 21], Operations: [] Exploring Operation: 27+1=28, Resulting Numbers: [48, 21, 28] Generated Node #2: [48, 21, 28] from Operation: 27+1=28 Current State: 64:[48, 21, 28], Operations: ['27+1=28'] Exploring Operation: 48*28=1344, Resulting Numbers: [21, 1344] Generated Node #3: [21, 1344] from Operation: 48*28=1344 Current State: 64:[21, 1344], Operations: ['27+1=28', '48*28=1344'] Exploring Operation: 1344/21=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 53, 48, 14, 37 ]
11
[ "53-37=16", "48/16=3", "14-3=11" ]
Current State: 11:[53, 48, 14, 37], Operations: [] Exploring Operation: 53-37=16, Resulting Numbers: [48, 14, 16] Generated Node #2: [48, 14, 16] from Operation: 53-37=16 Current State: 11:[48, 14, 16], Operations: ['53-37=16'] Exploring Operation: 48/16=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 48/16=3 Current State: 11:[14, 3], Operations: ['53-37=16', '48/16=3'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 71, 44, 60, 77 ]
22
[ "71+44=115", "60+77=137", "137-115=22" ]
Current State: 22:[71, 44, 60, 77], Operations: [] Exploring Operation: 71+44=115, Resulting Numbers: [60, 77, 115] Generated Node #2: [60, 77, 115] from Operation: 71+44=115 Current State: 22:[60, 77, 115], Operations: ['71+44=115'] Exploring Operation: 60+77=137, Resulting Numbers: [115, 137] Generated Node #3: [115, 137] from Operation: 60+77=137 Current State: 22:[115, 137], Operations: ['71+44=115', '60+77=137'] Exploring Operation: 137-115=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 47, 8, 74, 75 ]
55
[ "47+8=55", "75-74=1", "55*1=55" ]
Current State: 55:[47, 8, 74, 75], Operations: [] Exploring Operation: 47+8=55, Resulting Numbers: [74, 75, 55] Generated Node #2: [74, 75, 55] from Operation: 47+8=55 Current State: 55:[74, 75, 55], Operations: ['47+8=55'] Exploring Operation: 75-74=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 75-74=1 Current State: 55:[55, 1], Operations: ['47+8=55', '75-74=1'] Exploring Operation: 55*1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 60, 13, 17, 66 ]
96
[ "60-13=47", "66-17=49", "47+49=96" ]
Current State: 96:[60, 13, 17, 66], Operations: [] Exploring Operation: 60-13=47, Resulting Numbers: [17, 66, 47] Generated Node #2: [17, 66, 47] from Operation: 60-13=47 Current State: 96:[17, 66, 47], Operations: ['60-13=47'] Exploring Operation: 66-17=49, Resulting Numbers: [47, 49] Generated Node #3: [47, 49] from Operation: 66-17=49 Current State: 96:[47, 49], Operations: ['60-13=47', '66-17=49'] Exploring Operation: 47+49=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 20, 11, 87 ]
90
[ "13+20=33", "33/11=3", "87+3=90" ]
Current State: 90:[13, 20, 11, 87], Operations: [] Exploring Operation: 13+20=33, Resulting Numbers: [11, 87, 33] Generated Node #2: [11, 87, 33] from Operation: 13+20=33 Current State: 90:[11, 87, 33], Operations: ['13+20=33'] Exploring Operation: 33/11=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 33/11=3 Current State: 90:[87, 3], Operations: ['13+20=33', '33/11=3'] Exploring Operation: 87+3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 25, 30, 30, 58 ]
93
[ "30-25=5", "30+58=88", "5+88=93" ]
Current State: 93:[25, 30, 30, 58], Operations: [] Exploring Operation: 30-25=5, Resulting Numbers: [58, 5] Generated Node #2: [58, 5] from Operation: 30-25=5 Current State: 93:[58, 5], Operations: ['30-25=5'] Exploring Operation: 30+58=88, Resulting Numbers: [5, 88] Generated Node #3: [5, 88] from Operation: 30+58=88 Current State: 93:[5, 88], Operations: ['30-25=5', '30+58=88'] Exploring Operation: 5+88=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 99, 89, 32, 4 ]
46
[ "99-89=10", "32+4=36", "10+36=46" ]
Current State: 46:[99, 89, 32, 4], Operations: [] Exploring Operation: 99-89=10, Resulting Numbers: [32, 4, 10] Generated Node #2: [32, 4, 10] from Operation: 99-89=10 Current State: 46:[32, 4, 10], Operations: ['99-89=10'] Exploring Operation: 32+4=36, Resulting Numbers: [10, 36] Generated Node #3: [10, 36] from Operation: 32+4=36 Current State: 46:[10, 36], Operations: ['99-89=10', '32+4=36'] Exploring Operation: 10+36=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 87, 29, 46, 69 ]
20
[ "87/29=3", "69-46=23", "23-3=20" ]
Current State: 20:[87, 29, 46, 69], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [46, 69, 3] Generated Node #2: [46, 69, 3] from Operation: 87/29=3 Current State: 20:[46, 69, 3], Operations: ['87/29=3'] Exploring Operation: 69-46=23, Resulting Numbers: [3, 23] Generated Node #3: [3, 23] from Operation: 69-46=23 Current State: 20:[3, 23], Operations: ['87/29=3', '69-46=23'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 58, 50, 52, 56 ]
77
[ "58-56=2", "50/2=25", "52+25=77" ]
Current State: 77:[58, 50, 52, 56], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [50, 52, 2] Generated Node #2: [50, 52, 2] from Operation: 58-56=2 Current State: 77:[50, 52, 2], Operations: ['58-56=2'] Exploring Operation: 50/2=25, Resulting Numbers: [52, 25] Generated Node #3: [52, 25] from Operation: 50/2=25 Current State: 77:[52, 25], Operations: ['58-56=2', '50/2=25'] Exploring Operation: 52+25=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 56, 24, 16, 33 ]
61
[ "56*33=1848", "1848/24=77", "77-16=61" ]
Current State: 61:[56, 24, 16, 33], Operations: [] Exploring Operation: 56*33=1848, Resulting Numbers: [24, 16, 1848] Generated Node #2: [24, 16, 1848] from Operation: 56*33=1848 Current State: 61:[24, 16, 1848], Operations: ['56*33=1848'] Exploring Operation: 1848/24=77, Resulting Numbers: [16, 77] Generated Node #3: [16, 77] from Operation: 1848/24=77 Current State: 61:[16, 77], Operations: ['56*33=1848', '1848/24=77'] Exploring Operation: 77-16=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 77, 11, 5, 72 ]
94
[ "77+72=149", "11*5=55", "149-55=94" ]
Current State: 94:[77, 11, 5, 72], Operations: [] Exploring Operation: 77+72=149, Resulting Numbers: [11, 5, 149] Generated Node #2: [11, 5, 149] from Operation: 77+72=149 Current State: 94:[11, 5, 149], Operations: ['77+72=149'] Exploring Operation: 11*5=55, Resulting Numbers: [149, 55] Generated Node #3: [149, 55] from Operation: 11*5=55 Current State: 94:[149, 55], Operations: ['77+72=149', '11*5=55'] Exploring Operation: 149-55=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 14, 10, 49, 80 ]
43
[ "49-14=35", "80/10=8", "35+8=43" ]
Current State: 43:[14, 10, 49, 80], Operations: [] Exploring Operation: 49-14=35, Resulting Numbers: [10, 80, 35] Generated Node #2: [10, 80, 35] from Operation: 49-14=35 Current State: 43:[10, 80, 35], Operations: ['49-14=35'] Exploring Operation: 80/10=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 80/10=8 Current State: 43:[35, 8], Operations: ['49-14=35', '80/10=8'] Exploring Operation: 35+8=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 50, 44, 31, 51 ]
74
[ "50+44=94", "51-31=20", "94-20=74" ]
Current State: 74:[50, 44, 31, 51], Operations: [] Exploring Operation: 50+44=94, Resulting Numbers: [31, 51, 94] Generated Node #2: [31, 51, 94] from Operation: 50+44=94 Current State: 74:[31, 51, 94], Operations: ['50+44=94'] Exploring Operation: 51-31=20, Resulting Numbers: [94, 20] Generated Node #3: [94, 20] from Operation: 51-31=20 Current State: 74:[94, 20], Operations: ['50+44=94', '51-31=20'] Exploring Operation: 94-20=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 54, 2, 1, 2 ]
53
[ "54+2=56", "1+2=3", "56-3=53" ]
Current State: 53:[54, 2, 1, 2], Operations: [] Exploring Operation: 54+2=56, Resulting Numbers: [1, 56] Generated Node #2: [1, 56] from Operation: 54+2=56 Current State: 53:[1, 56], Operations: ['54+2=56'] Exploring Operation: 1+2=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 1+2=3 Current State: 53:[56, 3], Operations: ['54+2=56', '1+2=3'] Exploring Operation: 56-3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 58, 96, 45, 76 ]
47
[ "96-58=38", "76/38=2", "45+2=47" ]
Current State: 47:[58, 96, 45, 76], Operations: [] Exploring Operation: 96-58=38, Resulting Numbers: [45, 76, 38] Generated Node #2: [45, 76, 38] from Operation: 96-58=38 Current State: 47:[45, 76, 38], Operations: ['96-58=38'] Exploring Operation: 76/38=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 76/38=2 Current State: 47:[45, 2], Operations: ['96-58=38', '76/38=2'] Exploring Operation: 45+2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 17, 37, 67, 34 ]
32
[ "34/17=2", "67-37=30", "2+30=32" ]
Current State: 32:[17, 37, 67, 34], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [37, 67, 2] Generated Node #2: [37, 67, 2] from Operation: 34/17=2 Current State: 32:[37, 67, 2], Operations: ['34/17=2'] Exploring Operation: 67-37=30, Resulting Numbers: [2, 30] Generated Node #3: [2, 30] from Operation: 67-37=30 Current State: 32:[2, 30], Operations: ['34/17=2', '67-37=30'] Exploring Operation: 2+30=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 32, 21, 51, 64 ]
70
[ "64/32=2", "21+51=72", "72-2=70" ]
Current State: 70:[32, 21, 51, 64], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [21, 51, 2] Generated Node #2: [21, 51, 2] from Operation: 64/32=2 Current State: 70:[21, 51, 2], Operations: ['64/32=2'] Exploring Operation: 21+51=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 21+51=72 Current State: 70:[2, 72], Operations: ['64/32=2', '21+51=72'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 56, 20, 86, 99 ]
23
[ "56-20=36", "99-86=13", "36-13=23" ]
Current State: 23:[56, 20, 86, 99], Operations: [] Exploring Operation: 56-20=36, Resulting Numbers: [86, 99, 36] Generated Node #2: [86, 99, 36] from Operation: 56-20=36 Current State: 23:[86, 99, 36], Operations: ['56-20=36'] Exploring Operation: 99-86=13, Resulting Numbers: [36, 13] Generated Node #3: [36, 13] from Operation: 99-86=13 Current State: 23:[36, 13], Operations: ['56-20=36', '99-86=13'] Exploring Operation: 36-13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 9, 75, 89, 60 ]
74
[ "75+60=135", "135/9=15", "89-15=74" ]
Current State: 74:[9, 75, 89, 60], Operations: [] Exploring Operation: 75+60=135, Resulting Numbers: [9, 89, 135] Generated Node #2: [9, 89, 135] from Operation: 75+60=135 Current State: 74:[9, 89, 135], Operations: ['75+60=135'] Exploring Operation: 135/9=15, Resulting Numbers: [89, 15] Generated Node #3: [89, 15] from Operation: 135/9=15 Current State: 74:[89, 15], Operations: ['75+60=135', '135/9=15'] Exploring Operation: 89-15=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 69, 19, 93, 72 ]
50
[ "72-69=3", "93/3=31", "19+31=50" ]
Current State: 50:[69, 19, 93, 72], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [19, 93, 3] Generated Node #2: [19, 93, 3] from Operation: 72-69=3 Current State: 50:[19, 93, 3], Operations: ['72-69=3'] Exploring Operation: 93/3=31, Resulting Numbers: [19, 31] Generated Node #3: [19, 31] from Operation: 93/3=31 Current State: 50:[19, 31], Operations: ['72-69=3', '93/3=31'] Exploring Operation: 19+31=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 28, 87, 98, 14 ]
76
[ "28*87=2436", "2436/14=174", "174-98=76" ]
Current State: 76:[28, 87, 98, 14], Operations: [] Exploring Operation: 28*87=2436, Resulting Numbers: [98, 14, 2436] Generated Node #2: [98, 14, 2436] from Operation: 28*87=2436 Current State: 76:[98, 14, 2436], Operations: ['28*87=2436'] Exploring Operation: 2436/14=174, Resulting Numbers: [98, 174] Generated Node #3: [98, 174] from Operation: 2436/14=174 Current State: 76:[98, 174], Operations: ['28*87=2436', '2436/14=174'] Exploring Operation: 174-98=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 64, 41, 76, 45 ]
98
[ "64-41=23", "76+45=121", "121-23=98" ]
Current State: 98:[64, 41, 76, 45], Operations: [] Exploring Operation: 64-41=23, Resulting Numbers: [76, 45, 23] Generated Node #2: [76, 45, 23] from Operation: 64-41=23 Current State: 98:[76, 45, 23], Operations: ['64-41=23'] Exploring Operation: 76+45=121, Resulting Numbers: [23, 121] Generated Node #3: [23, 121] from Operation: 76+45=121 Current State: 98:[23, 121], Operations: ['64-41=23', '76+45=121'] Exploring Operation: 121-23=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 44, 23, 35, 13 ]
89
[ "44+23=67", "35-13=22", "67+22=89" ]
Current State: 89:[44, 23, 35, 13], Operations: [] Exploring Operation: 44+23=67, Resulting Numbers: [35, 13, 67] Generated Node #2: [35, 13, 67] from Operation: 44+23=67 Current State: 89:[35, 13, 67], Operations: ['44+23=67'] Exploring Operation: 35-13=22, Resulting Numbers: [67, 22] Generated Node #3: [67, 22] from Operation: 35-13=22 Current State: 89:[67, 22], Operations: ['44+23=67', '35-13=22'] Exploring Operation: 67+22=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 14, 50, 79, 57 ]
100
[ "50-14=36", "79+57=136", "136-36=100" ]
Current State: 100:[14, 50, 79, 57], Operations: [] Exploring Operation: 50-14=36, Resulting Numbers: [79, 57, 36] Generated Node #2: [79, 57, 36] from Operation: 50-14=36 Current State: 100:[79, 57, 36], Operations: ['50-14=36'] Exploring Operation: 79+57=136, Resulting Numbers: [36, 136] Generated Node #3: [36, 136] from Operation: 79+57=136 Current State: 100:[36, 136], Operations: ['50-14=36', '79+57=136'] Exploring Operation: 136-36=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 1, 44, 50, 2 ]
10
[ "1+44=45", "50-45=5", "2*5=10" ]
Current State: 10:[1, 44, 50, 2], Operations: [] Exploring Operation: 1+44=45, Resulting Numbers: [50, 2, 45] Generated Node #2: [50, 2, 45] from Operation: 1+44=45 Current State: 10:[50, 2, 45], Operations: ['1+44=45'] Exploring Operation: 50-45=5, Resulting Numbers: [2, 5] Generated Node #3: [2, 5] from Operation: 50-45=5 Current State: 10:[2, 5], Operations: ['1+44=45', '50-45=5'] Exploring Operation: 2*5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 48, 17, 29, 20 ]
13
[ "20-17=3", "48/3=16", "29-16=13" ]
Current State: 13:[48, 17, 29, 20], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [48, 29, 3] Generated Node #2: [48, 29, 3] from Operation: 20-17=3 Current State: 13:[48, 29, 3], Operations: ['20-17=3'] Exploring Operation: 48/3=16, Resulting Numbers: [29, 16] Generated Node #3: [29, 16] from Operation: 48/3=16 Current State: 13:[29, 16], Operations: ['20-17=3', '48/3=16'] Exploring Operation: 29-16=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 19, 67, 19, 72 ]
95
[ "19*67=1273", "19*72=1368", "1368-1273=95" ]
Current State: 95:[19, 67, 19, 72], Operations: [] Exploring Operation: 19*67=1273, Resulting Numbers: [72, 1273] Generated Node #2: [72, 1273] from Operation: 19*67=1273 Current State: 95:[72, 1273], Operations: ['19*67=1273'] Exploring Operation: 19*72=1368, Resulting Numbers: [1273, 1368] Generated Node #3: [1273, 1368] from Operation: 19*72=1368 Current State: 95:[1273, 1368], Operations: ['19*67=1273', '19*72=1368'] Exploring Operation: 1368-1273=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 97, 77, 11, 95 ]
99
[ "97-95=2", "11*2=22", "77+22=99" ]
Current State: 99:[97, 77, 11, 95], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [77, 11, 2] Generated Node #2: [77, 11, 2] from Operation: 97-95=2 Current State: 99:[77, 11, 2], Operations: ['97-95=2'] Exploring Operation: 11*2=22, Resulting Numbers: [77, 22] Generated Node #3: [77, 22] from Operation: 11*2=22 Current State: 99:[77, 22], Operations: ['97-95=2', '11*2=22'] Exploring Operation: 77+22=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 35, 12, 67, 64 ]
44
[ "35+12=47", "67-64=3", "47-3=44" ]
Current State: 44:[35, 12, 67, 64], Operations: [] Exploring Operation: 35+12=47, Resulting Numbers: [67, 64, 47] Generated Node #2: [67, 64, 47] from Operation: 35+12=47 Current State: 44:[67, 64, 47], Operations: ['35+12=47'] Exploring Operation: 67-64=3, Resulting Numbers: [47, 3] Generated Node #3: [47, 3] from Operation: 67-64=3 Current State: 44:[47, 3], Operations: ['35+12=47', '67-64=3'] Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 95, 44, 58, 77 ]
49
[ "77-58=19", "95/19=5", "44+5=49" ]
Current State: 49:[95, 44, 58, 77], Operations: [] Exploring Operation: 77-58=19, Resulting Numbers: [95, 44, 19] Generated Node #2: [95, 44, 19] from Operation: 77-58=19 Current State: 49:[95, 44, 19], Operations: ['77-58=19'] Exploring Operation: 95/19=5, Resulting Numbers: [44, 5] Generated Node #3: [44, 5] from Operation: 95/19=5 Current State: 49:[44, 5], Operations: ['77-58=19', '95/19=5'] Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 18, 63, 86, 57 ]
74
[ "63-18=45", "86-57=29", "45+29=74" ]
Current State: 74:[18, 63, 86, 57], Operations: [] Exploring Operation: 63-18=45, Resulting Numbers: [86, 57, 45] Generated Node #2: [86, 57, 45] from Operation: 63-18=45 Current State: 74:[86, 57, 45], Operations: ['63-18=45'] Exploring Operation: 86-57=29, Resulting Numbers: [45, 29] Generated Node #3: [45, 29] from Operation: 86-57=29 Current State: 74:[45, 29], Operations: ['63-18=45', '86-57=29'] Exploring Operation: 45+29=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 52, 35, 9, 71 ]
82
[ "52-35=17", "9*17=153", "153-71=82" ]
Current State: 82:[52, 35, 9, 71], Operations: [] Exploring Operation: 52-35=17, Resulting Numbers: [9, 71, 17] Generated Node #2: [9, 71, 17] from Operation: 52-35=17 Current State: 82:[9, 71, 17], Operations: ['52-35=17'] Exploring Operation: 9*17=153, Resulting Numbers: [71, 153] Generated Node #3: [71, 153] from Operation: 9*17=153 Current State: 82:[71, 153], Operations: ['52-35=17', '9*17=153'] Exploring Operation: 153-71=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 9, 63, 8, 10 ]
55
[ "10-9=1", "63-8=55", "1*55=55" ]
Current State: 55:[9, 63, 8, 10], Operations: [] Exploring Operation: 10-9=1, Resulting Numbers: [63, 8, 1] Generated Node #2: [63, 8, 1] from Operation: 10-9=1 Current State: 55:[63, 8, 1], Operations: ['10-9=1'] Exploring Operation: 63-8=55, Resulting Numbers: [1, 55] Generated Node #3: [1, 55] from Operation: 63-8=55 Current State: 55:[1, 55], Operations: ['10-9=1', '63-8=55'] Exploring Operation: 1*55=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 9, 64, 54, 12 ]
98
[ "9*12=108", "64-54=10", "108-10=98" ]
Current State: 98:[9, 64, 54, 12], Operations: [] Exploring Operation: 9*12=108, Resulting Numbers: [64, 54, 108] Generated Node #2: [64, 54, 108] from Operation: 9*12=108 Current State: 98:[64, 54, 108], Operations: ['9*12=108'] Exploring Operation: 64-54=10, Resulting Numbers: [108, 10] Generated Node #3: [108, 10] from Operation: 64-54=10 Current State: 98:[108, 10], Operations: ['9*12=108', '64-54=10'] Exploring Operation: 108-10=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 3, 5, 79, 44 ]
10
[ "79-5=74", "74-44=30", "30/3=10" ]
Current State: 10:[3, 5, 79, 44], Operations: [] Exploring Operation: 79-5=74, Resulting Numbers: [3, 44, 74] Generated Node #2: [3, 44, 74] from Operation: 79-5=74 Current State: 10:[3, 44, 74], Operations: ['79-5=74'] Exploring Operation: 74-44=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 74-44=30 Current State: 10:[3, 30], Operations: ['79-5=74', '74-44=30'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 8, 76, 54, 19 ]
24
[ "76-54=22", "22-19=3", "8*3=24" ]
Current State: 24:[8, 76, 54, 19], Operations: [] Exploring Operation: 76-54=22, Resulting Numbers: [8, 19, 22] Generated Node #2: [8, 19, 22] from Operation: 76-54=22 Current State: 24:[8, 19, 22], Operations: ['76-54=22'] Exploring Operation: 22-19=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 22-19=3 Current State: 24:[8, 3], Operations: ['76-54=22', '22-19=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 65, 6, 87, 62 ]
23
[ "65-62=3", "87/3=29", "29-6=23" ]
Current State: 23:[65, 6, 87, 62], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [6, 87, 3] Generated Node #2: [6, 87, 3] from Operation: 65-62=3 Current State: 23:[6, 87, 3], Operations: ['65-62=3'] Exploring Operation: 87/3=29, Resulting Numbers: [6, 29] Generated Node #3: [6, 29] from Operation: 87/3=29 Current State: 23:[6, 29], Operations: ['65-62=3', '87/3=29'] Exploring Operation: 29-6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 55, 32, 36, 6 ]
45
[ "55+32=87", "36+6=42", "87-42=45" ]
Current State: 45:[55, 32, 36, 6], Operations: [] Exploring Operation: 55+32=87, Resulting Numbers: [36, 6, 87] Generated Node #2: [36, 6, 87] from Operation: 55+32=87 Current State: 45:[36, 6, 87], Operations: ['55+32=87'] Exploring Operation: 36+6=42, Resulting Numbers: [87, 42] Generated Node #3: [87, 42] from Operation: 36+6=42 Current State: 45:[87, 42], Operations: ['55+32=87', '36+6=42'] Exploring Operation: 87-42=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 94, 49, 58, 55 ]
68
[ "94-49=45", "58+55=113", "113-45=68" ]
Current State: 68:[94, 49, 58, 55], Operations: [] Exploring Operation: 94-49=45, Resulting Numbers: [58, 55, 45] Generated Node #2: [58, 55, 45] from Operation: 94-49=45 Current State: 68:[58, 55, 45], Operations: ['94-49=45'] Exploring Operation: 58+55=113, Resulting Numbers: [45, 113] Generated Node #3: [45, 113] from Operation: 58+55=113 Current State: 68:[45, 113], Operations: ['94-49=45', '58+55=113'] Exploring Operation: 113-45=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 79, 34, 77, 93 ]
84
[ "77+93=170", "170/34=5", "79+5=84" ]
Current State: 84:[79, 34, 77, 93], Operations: [] Exploring Operation: 77+93=170, Resulting Numbers: [79, 34, 170] Generated Node #2: [79, 34, 170] from Operation: 77+93=170 Current State: 84:[79, 34, 170], Operations: ['77+93=170'] Exploring Operation: 170/34=5, Resulting Numbers: [79, 5] Generated Node #3: [79, 5] from Operation: 170/34=5 Current State: 84:[79, 5], Operations: ['77+93=170', '170/34=5'] Exploring Operation: 79+5=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 57, 29, 84, 81 ]
79
[ "57+29=86", "84+81=165", "165-86=79" ]
Current State: 79:[57, 29, 84, 81], Operations: [] Exploring Operation: 57+29=86, Resulting Numbers: [84, 81, 86] Generated Node #2: [84, 81, 86] from Operation: 57+29=86 Current State: 79:[84, 81, 86], Operations: ['57+29=86'] Exploring Operation: 84+81=165, Resulting Numbers: [86, 165] Generated Node #3: [86, 165] from Operation: 84+81=165 Current State: 79:[86, 165], Operations: ['57+29=86', '84+81=165'] Exploring Operation: 165-86=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 16, 84, 82, 68 ]
100
[ "84-82=2", "16*2=32", "68+32=100" ]
Current State: 100:[16, 84, 82, 68], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [16, 68, 2] Generated Node #2: [16, 68, 2] from Operation: 84-82=2 Current State: 100:[16, 68, 2], Operations: ['84-82=2'] Exploring Operation: 16*2=32, Resulting Numbers: [68, 32] Generated Node #3: [68, 32] from Operation: 16*2=32 Current State: 100:[68, 32], Operations: ['84-82=2', '16*2=32'] Exploring Operation: 68+32=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 15, 2, 19, 61 ]
57
[ "15+61=76", "76/2=38", "19+38=57" ]
Current State: 57:[15, 2, 19, 61], Operations: [] Exploring Operation: 15+61=76, Resulting Numbers: [2, 19, 76] Generated Node #2: [2, 19, 76] from Operation: 15+61=76 Current State: 57:[2, 19, 76], Operations: ['15+61=76'] Exploring Operation: 76/2=38, Resulting Numbers: [19, 38] Generated Node #3: [19, 38] from Operation: 76/2=38 Current State: 57:[19, 38], Operations: ['15+61=76', '76/2=38'] Exploring Operation: 19+38=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 86, 8, 36, 3 ]
94
[ "8-3=5", "36*5=180", "180-86=94" ]
Current State: 94:[86, 8, 36, 3], Operations: [] Exploring Operation: 8-3=5, Resulting Numbers: [86, 36, 5] Generated Node #2: [86, 36, 5] from Operation: 8-3=5 Current State: 94:[86, 36, 5], Operations: ['8-3=5'] Exploring Operation: 36*5=180, Resulting Numbers: [86, 180] Generated Node #3: [86, 180] from Operation: 36*5=180 Current State: 94:[86, 180], Operations: ['8-3=5', '36*5=180'] Exploring Operation: 180-86=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 72, 98, 86, 95 ]
90
[ "95-86=9", "72/9=8", "98-8=90" ]
Current State: 90:[72, 98, 86, 95], Operations: [] Exploring Operation: 95-86=9, Resulting Numbers: [72, 98, 9] Generated Node #2: [72, 98, 9] from Operation: 95-86=9 Current State: 90:[72, 98, 9], Operations: ['95-86=9'] Exploring Operation: 72/9=8, Resulting Numbers: [98, 8] Generated Node #3: [98, 8] from Operation: 72/9=8 Current State: 90:[98, 8], Operations: ['95-86=9', '72/9=8'] Exploring Operation: 98-8=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 51, 26, 78, 24 ]
25
[ "51+26=77", "78+24=102", "102-77=25" ]
Current State: 25:[51, 26, 78, 24], Operations: [] Exploring Operation: 51+26=77, Resulting Numbers: [78, 24, 77] Generated Node #2: [78, 24, 77] from Operation: 51+26=77 Current State: 25:[78, 24, 77], Operations: ['51+26=77'] Exploring Operation: 78+24=102, Resulting Numbers: [77, 102] Generated Node #3: [77, 102] from Operation: 78+24=102 Current State: 25:[77, 102], Operations: ['51+26=77', '78+24=102'] Exploring Operation: 102-77=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 39, 22, 14, 72 ]
78
[ "39*72=2808", "22+14=36", "2808/36=78" ]
Current State: 78:[39, 22, 14, 72], Operations: [] Exploring Operation: 39*72=2808, Resulting Numbers: [22, 14, 2808] Generated Node #2: [22, 14, 2808] from Operation: 39*72=2808 Current State: 78:[22, 14, 2808], Operations: ['39*72=2808'] Exploring Operation: 22+14=36, Resulting Numbers: [2808, 36] Generated Node #3: [2808, 36] from Operation: 22+14=36 Current State: 78:[2808, 36], Operations: ['39*72=2808', '22+14=36'] Exploring Operation: 2808/36=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 18, 2, 42, 3 ]
65
[ "18+2=20", "42+3=45", "20+45=65" ]
Current State: 65:[18, 2, 42, 3], Operations: [] Exploring Operation: 18+2=20, Resulting Numbers: [42, 3, 20] Generated Node #2: [42, 3, 20] from Operation: 18+2=20 Current State: 65:[42, 3, 20], Operations: ['18+2=20'] Exploring Operation: 42+3=45, Resulting Numbers: [20, 45] Generated Node #3: [20, 45] from Operation: 42+3=45 Current State: 65:[20, 45], Operations: ['18+2=20', '42+3=45'] Exploring Operation: 20+45=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 13, 55, 91, 46 ]
95
[ "55-13=42", "91+46=137", "137-42=95" ]
Current State: 95:[13, 55, 91, 46], Operations: [] Exploring Operation: 55-13=42, Resulting Numbers: [91, 46, 42] Generated Node #2: [91, 46, 42] from Operation: 55-13=42 Current State: 95:[91, 46, 42], Operations: ['55-13=42'] Exploring Operation: 91+46=137, Resulting Numbers: [42, 137] Generated Node #3: [42, 137] from Operation: 91+46=137 Current State: 95:[42, 137], Operations: ['55-13=42', '91+46=137'] Exploring Operation: 137-42=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 49, 94, 3, 37 ]
79
[ "94-49=45", "37-3=34", "45+34=79" ]
Current State: 79:[49, 94, 3, 37], Operations: [] Exploring Operation: 94-49=45, Resulting Numbers: [3, 37, 45] Generated Node #2: [3, 37, 45] from Operation: 94-49=45 Current State: 79:[3, 37, 45], Operations: ['94-49=45'] Exploring Operation: 37-3=34, Resulting Numbers: [45, 34] Generated Node #3: [45, 34] from Operation: 37-3=34 Current State: 79:[45, 34], Operations: ['94-49=45', '37-3=34'] Exploring Operation: 45+34=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 27, 87, 42, 69 ]
63
[ "27*42=1134", "87-69=18", "1134/18=63" ]
Current State: 63:[27, 87, 42, 69], Operations: [] Exploring Operation: 27*42=1134, Resulting Numbers: [87, 69, 1134] Generated Node #2: [87, 69, 1134] from Operation: 27*42=1134 Current State: 63:[87, 69, 1134], Operations: ['27*42=1134'] Exploring Operation: 87-69=18, Resulting Numbers: [1134, 18] Generated Node #3: [1134, 18] from Operation: 87-69=18 Current State: 63:[1134, 18], Operations: ['27*42=1134', '87-69=18'] Exploring Operation: 1134/18=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 9, 96, 76, 4 ]
89
[ "96-76=20", "4*20=80", "9+80=89" ]
Current State: 89:[9, 96, 76, 4], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [9, 4, 20] Generated Node #2: [9, 4, 20] from Operation: 96-76=20 Current State: 89:[9, 4, 20], Operations: ['96-76=20'] Exploring Operation: 4*20=80, Resulting Numbers: [9, 80] Generated Node #3: [9, 80] from Operation: 4*20=80 Current State: 89:[9, 80], Operations: ['96-76=20', '4*20=80'] Exploring Operation: 9+80=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 73, 10, 5, 65 ]
88
[ "73+65=138", "10*5=50", "138-50=88" ]
Current State: 88:[73, 10, 5, 65], Operations: [] Exploring Operation: 73+65=138, Resulting Numbers: [10, 5, 138] Generated Node #2: [10, 5, 138] from Operation: 73+65=138 Current State: 88:[10, 5, 138], Operations: ['73+65=138'] Exploring Operation: 10*5=50, Resulting Numbers: [138, 50] Generated Node #3: [138, 50] from Operation: 10*5=50 Current State: 88:[138, 50], Operations: ['73+65=138', '10*5=50'] Exploring Operation: 138-50=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 42, 24, 51, 53 ]
86
[ "42-24=18", "51+53=104", "104-18=86" ]
Current State: 86:[42, 24, 51, 53], Operations: [] Exploring Operation: 42-24=18, Resulting Numbers: [51, 53, 18] Generated Node #2: [51, 53, 18] from Operation: 42-24=18 Current State: 86:[51, 53, 18], Operations: ['42-24=18'] Exploring Operation: 51+53=104, Resulting Numbers: [18, 104] Generated Node #3: [18, 104] from Operation: 51+53=104 Current State: 86:[18, 104], Operations: ['42-24=18', '51+53=104'] Exploring Operation: 104-18=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 53, 86, 76, 5 ]
89
[ "86-53=33", "5*33=165", "165-76=89" ]
Current State: 89:[53, 86, 76, 5], Operations: [] Exploring Operation: 86-53=33, Resulting Numbers: [76, 5, 33] Generated Node #2: [76, 5, 33] from Operation: 86-53=33 Current State: 89:[76, 5, 33], Operations: ['86-53=33'] Exploring Operation: 5*33=165, Resulting Numbers: [76, 165] Generated Node #3: [76, 165] from Operation: 5*33=165 Current State: 89:[76, 165], Operations: ['86-53=33', '5*33=165'] Exploring Operation: 165-76=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 19, 90, 38, 6 ]
34
[ "38-19=19", "90/6=15", "19+15=34" ]
Current State: 34:[19, 90, 38, 6], Operations: [] Exploring Operation: 38-19=19, Resulting Numbers: [90, 6, 19] Generated Node #2: [90, 6, 19] from Operation: 38-19=19 Current State: 34:[90, 6, 19], Operations: ['38-19=19'] Exploring Operation: 90/6=15, Resulting Numbers: [19, 15] Generated Node #3: [19, 15] from Operation: 90/6=15 Current State: 34:[19, 15], Operations: ['38-19=19', '90/6=15'] Exploring Operation: 19+15=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 71, 35, 41, 53 ]
39
[ "71+35=106", "106/53=2", "41-2=39" ]
Current State: 39:[71, 35, 41, 53], Operations: [] Exploring Operation: 71+35=106, Resulting Numbers: [41, 53, 106] Generated Node #2: [41, 53, 106] from Operation: 71+35=106 Current State: 39:[41, 53, 106], Operations: ['71+35=106'] Exploring Operation: 106/53=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 106/53=2 Current State: 39:[41, 2], Operations: ['71+35=106', '106/53=2'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 72, 10, 26, 71 ]
37
[ "72+10=82", "71-26=45", "82-45=37" ]
Current State: 37:[72, 10, 26, 71], Operations: [] Exploring Operation: 72+10=82, Resulting Numbers: [26, 71, 82] Generated Node #2: [26, 71, 82] from Operation: 72+10=82 Current State: 37:[26, 71, 82], Operations: ['72+10=82'] Exploring Operation: 71-26=45, Resulting Numbers: [82, 45] Generated Node #3: [82, 45] from Operation: 71-26=45 Current State: 37:[82, 45], Operations: ['72+10=82', '71-26=45'] Exploring Operation: 82-45=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 1, 14, 75, 73 ]
42
[ "1+75=76", "76-73=3", "14*3=42" ]
Current State: 42:[1, 14, 75, 73], Operations: [] Exploring Operation: 1+75=76, Resulting Numbers: [14, 73, 76] Generated Node #2: [14, 73, 76] from Operation: 1+75=76 Current State: 42:[14, 73, 76], Operations: ['1+75=76'] Exploring Operation: 76-73=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 76-73=3 Current State: 42:[14, 3], Operations: ['1+75=76', '76-73=3'] Exploring Operation: 14*3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 99, 47, 93, 14 ]
31
[ "47-14=33", "99/33=3", "93/3=31" ]
Current State: 31:[99, 47, 93, 14], Operations: [] Exploring Operation: 47-14=33, Resulting Numbers: [99, 93, 33] Generated Node #2: [99, 93, 33] from Operation: 47-14=33 Current State: 31:[99, 93, 33], Operations: ['47-14=33'] Exploring Operation: 99/33=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 99/33=3 Current State: 31:[93, 3], Operations: ['47-14=33', '99/33=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4