Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 63, 29, 1, 40 ]
84
[ "63*40=2520", "29+1=30", "2520/30=84" ]
Current State: 84:[63, 29, 1, 40], Operations: [] Exploring Operation: 63*40=2520, Resulting Numbers: [29, 1, 2520] Generated Node #2: [29, 1, 2520] from Operation: 63*40=2520 Current State: 84:[29, 1, 2520], Operations: ['63*40=2520'] Exploring Operation: 29+1=30, Resulting Numbers: [2520, 30] Generated Node #3: [2520, 30] from Operation: 29+1=30 Current State: 84:[2520, 30], Operations: ['63*40=2520', '29+1=30'] Exploring Operation: 2520/30=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 69, 25, 35, 28 ]
36
[ "28-25=3", "35*3=105", "105-69=36" ]
Current State: 36:[69, 25, 35, 28], Operations: [] Exploring Operation: 28-25=3, Resulting Numbers: [69, 35, 3] Generated Node #2: [69, 35, 3] from Operation: 28-25=3 Current State: 36:[69, 35, 3], Operations: ['28-25=3'] Exploring Operation: 35*3=105, Resulting Numbers: [69, 105] Generated Node #3: [69, 105] from Operation: 35*3=105 Current State: 36:[69, 105], Operations: ['28-25=3', '35*3=105'] Exploring Operation: 105-69=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 35, 21, 95, 9 ]
59
[ "35+95=130", "21*9=189", "189-130=59" ]
Current State: 59:[35, 21, 95, 9], Operations: [] Exploring Operation: 35+95=130, Resulting Numbers: [21, 9, 130] Generated Node #2: [21, 9, 130] from Operation: 35+95=130 Current State: 59:[21, 9, 130], Operations: ['35+95=130'] Exploring Operation: 21*9=189, Resulting Numbers: [130, 189] Generated Node #3: [130, 189] from Operation: 21*9=189 Current State: 59:[130, 189], Operations: ['35+95=130', '21*9=189'] Exploring Operation: 189-130=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 98, 94, 6, 67 ]
92
[ "98-67=31", "6*31=186", "186-94=92" ]
Current State: 92:[98, 94, 6, 67], Operations: [] Exploring Operation: 98-67=31, Resulting Numbers: [94, 6, 31] Generated Node #2: [94, 6, 31] from Operation: 98-67=31 Current State: 92:[94, 6, 31], Operations: ['98-67=31'] Exploring Operation: 6*31=186, Resulting Numbers: [94, 186] Generated Node #3: [94, 186] from Operation: 6*31=186 Current State: 92:[94, 186], Operations: ['98-67=31', '6*31=186'] Exploring Operation: 186-94=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 91, 82, 91, 98 ]
63
[ "91-82=9", "98-91=7", "9*7=63" ]
Current State: 63:[91, 82, 91, 98], Operations: [] Exploring Operation: 91-82=9, Resulting Numbers: [98, 9] Generated Node #2: [98, 9] from Operation: 91-82=9 Current State: 63:[98, 9], Operations: ['91-82=9'] Exploring Operation: 98-91=7, Resulting Numbers: [9, 7] Generated Node #3: [9, 7] from Operation: 98-91=7 Current State: 63:[9, 7], Operations: ['91-82=9', '98-91=7'] Exploring Operation: 9*7=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 84, 68, 21, 54 ]
27
[ "68-54=14", "84/14=6", "21+6=27" ]
Current State: 27:[84, 68, 21, 54], Operations: [] Exploring Operation: 68-54=14, Resulting Numbers: [84, 21, 14] Generated Node #2: [84, 21, 14] from Operation: 68-54=14 Current State: 27:[84, 21, 14], Operations: ['68-54=14'] Exploring Operation: 84/14=6, Resulting Numbers: [21, 6] Generated Node #3: [21, 6] from Operation: 84/14=6 Current State: 27:[21, 6], Operations: ['68-54=14', '84/14=6'] Exploring Operation: 21+6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 59, 29, 75, 54 ]
41
[ "59+29=88", "75+54=129", "129-88=41" ]
Current State: 41:[59, 29, 75, 54], Operations: [] Exploring Operation: 59+29=88, Resulting Numbers: [75, 54, 88] Generated Node #2: [75, 54, 88] from Operation: 59+29=88 Current State: 41:[75, 54, 88], Operations: ['59+29=88'] Exploring Operation: 75+54=129, Resulting Numbers: [88, 129] Generated Node #3: [88, 129] from Operation: 75+54=129 Current State: 41:[88, 129], Operations: ['59+29=88', '75+54=129'] Exploring Operation: 129-88=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 39, 4, 63, 18 ]
80
[ "39-4=35", "63-18=45", "35+45=80" ]
Current State: 80:[39, 4, 63, 18], Operations: [] Exploring Operation: 39-4=35, Resulting Numbers: [63, 18, 35] Generated Node #2: [63, 18, 35] from Operation: 39-4=35 Current State: 80:[63, 18, 35], Operations: ['39-4=35'] Exploring Operation: 63-18=45, Resulting Numbers: [35, 45] Generated Node #3: [35, 45] from Operation: 63-18=45 Current State: 80:[35, 45], Operations: ['39-4=35', '63-18=45'] Exploring Operation: 35+45=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 26, 18, 60, 22 ]
25
[ "18+60=78", "78/26=3", "22+3=25" ]
Current State: 25:[26, 18, 60, 22], Operations: [] Exploring Operation: 18+60=78, Resulting Numbers: [26, 22, 78] Generated Node #2: [26, 22, 78] from Operation: 18+60=78 Current State: 25:[26, 22, 78], Operations: ['18+60=78'] Exploring Operation: 78/26=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 78/26=3 Current State: 25:[22, 3], Operations: ['18+60=78', '78/26=3'] Exploring Operation: 22+3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 70, 34, 71, 79 ]
46
[ "70+34=104", "71+79=150", "150-104=46" ]
Current State: 46:[70, 34, 71, 79], Operations: [] Exploring Operation: 70+34=104, Resulting Numbers: [71, 79, 104] Generated Node #2: [71, 79, 104] from Operation: 70+34=104 Current State: 46:[71, 79, 104], Operations: ['70+34=104'] Exploring Operation: 71+79=150, Resulting Numbers: [104, 150] Generated Node #3: [104, 150] from Operation: 71+79=150 Current State: 46:[104, 150], Operations: ['70+34=104', '71+79=150'] Exploring Operation: 150-104=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 33, 63, 28, 66 ]
44
[ "33+66=99", "28*99=2772", "2772/63=44" ]
Current State: 44:[33, 63, 28, 66], Operations: [] Exploring Operation: 33+66=99, Resulting Numbers: [63, 28, 99] Generated Node #2: [63, 28, 99] from Operation: 33+66=99 Current State: 44:[63, 28, 99], Operations: ['33+66=99'] Exploring Operation: 28*99=2772, Resulting Numbers: [63, 2772] Generated Node #3: [63, 2772] from Operation: 28*99=2772 Current State: 44:[63, 2772], Operations: ['33+66=99', '28*99=2772'] Exploring Operation: 2772/63=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 54, 30, 81, 15 ]
20
[ "54*15=810", "810/81=10", "30-10=20" ]
Current State: 20:[54, 30, 81, 15], Operations: [] Exploring Operation: 54*15=810, Resulting Numbers: [30, 81, 810] Generated Node #2: [30, 81, 810] from Operation: 54*15=810 Current State: 20:[30, 81, 810], Operations: ['54*15=810'] Exploring Operation: 810/81=10, Resulting Numbers: [30, 10] Generated Node #3: [30, 10] from Operation: 810/81=10 Current State: 20:[30, 10], Operations: ['54*15=810', '810/81=10'] Exploring Operation: 30-10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 93, 25, 18, 73 ]
76
[ "93-18=75", "75/25=3", "73+3=76" ]
Current State: 76:[93, 25, 18, 73], Operations: [] Exploring Operation: 93-18=75, Resulting Numbers: [25, 73, 75] Generated Node #2: [25, 73, 75] from Operation: 93-18=75 Current State: 76:[25, 73, 75], Operations: ['93-18=75'] Exploring Operation: 75/25=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 75/25=3 Current State: 76:[73, 3], Operations: ['93-18=75', '75/25=3'] Exploring Operation: 73+3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 54, 65, 4, 3 ]
51
[ "54/3=18", "65+4=69", "69-18=51" ]
Current State: 51:[54, 65, 4, 3], Operations: [] Exploring Operation: 54/3=18, Resulting Numbers: [65, 4, 18] Generated Node #2: [65, 4, 18] from Operation: 54/3=18 Current State: 51:[65, 4, 18], Operations: ['54/3=18'] Exploring Operation: 65+4=69, Resulting Numbers: [18, 69] Generated Node #3: [18, 69] from Operation: 65+4=69 Current State: 51:[18, 69], Operations: ['54/3=18', '65+4=69'] Exploring Operation: 69-18=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 58, 8, 2, 87 ]
54
[ "58+8=66", "66/2=33", "87-33=54" ]
Current State: 54:[58, 8, 2, 87], Operations: [] Exploring Operation: 58+8=66, Resulting Numbers: [2, 87, 66] Generated Node #2: [2, 87, 66] from Operation: 58+8=66 Current State: 54:[2, 87, 66], Operations: ['58+8=66'] Exploring Operation: 66/2=33, Resulting Numbers: [87, 33] Generated Node #3: [87, 33] from Operation: 66/2=33 Current State: 54:[87, 33], Operations: ['58+8=66', '66/2=33'] Exploring Operation: 87-33=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 88, 6, 26, 2 ]
73
[ "88+6=94", "94/2=47", "26+47=73" ]
Current State: 73:[88, 6, 26, 2], Operations: [] Exploring Operation: 88+6=94, Resulting Numbers: [26, 2, 94] Generated Node #2: [26, 2, 94] from Operation: 88+6=94 Current State: 73:[26, 2, 94], Operations: ['88+6=94'] Exploring Operation: 94/2=47, Resulting Numbers: [26, 47] Generated Node #3: [26, 47] from Operation: 94/2=47 Current State: 73:[26, 47], Operations: ['88+6=94', '94/2=47'] Exploring Operation: 26+47=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 78, 22, 11, 55 ]
76
[ "55-11=44", "44/22=2", "78-2=76" ]
Current State: 76:[78, 22, 11, 55], Operations: [] Exploring Operation: 55-11=44, Resulting Numbers: [78, 22, 44] Generated Node #2: [78, 22, 44] from Operation: 55-11=44 Current State: 76:[78, 22, 44], Operations: ['55-11=44'] Exploring Operation: 44/22=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 44/22=2 Current State: 76:[78, 2], Operations: ['55-11=44', '44/22=2'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 40, 65, 10, 25 ]
60
[ "65-40=25", "10+25=35", "25+35=60" ]
Current State: 60:[40, 65, 10, 25], Operations: [] Exploring Operation: 65-40=25, Resulting Numbers: [10, 25, 25] Generated Node #2: [10, 25, 25] from Operation: 65-40=25 Current State: 60:[10, 25, 25], Operations: ['65-40=25'] Exploring Operation: 10+25=35, Resulting Numbers: [35] 35,60 equal: Goal Reached Exploring Operation: 25+35=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 24, 45, 6, 65 ]
24
[ "24+45=69", "69-65=4", "6*4=24" ]
Current State: 24:[24, 45, 6, 65], Operations: [] Exploring Operation: 24+45=69, Resulting Numbers: [6, 65, 69] Generated Node #2: [6, 65, 69] from Operation: 24+45=69 Current State: 24:[6, 65, 69], Operations: ['24+45=69'] Exploring Operation: 69-65=4, Resulting Numbers: [6, 4] Generated Node #3: [6, 4] from Operation: 69-65=4 Current State: 24:[6, 4], Operations: ['24+45=69', '69-65=4'] Exploring Operation: 6*4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 34, 83, 8, 85 ]
44
[ "83-34=49", "8+85=93", "93-49=44" ]
Current State: 44:[34, 83, 8, 85], Operations: [] Exploring Operation: 83-34=49, Resulting Numbers: [8, 85, 49] Generated Node #2: [8, 85, 49] from Operation: 83-34=49 Current State: 44:[8, 85, 49], Operations: ['83-34=49'] Exploring Operation: 8+85=93, Resulting Numbers: [49, 93] Generated Node #3: [49, 93] from Operation: 8+85=93 Current State: 44:[49, 93], Operations: ['83-34=49', '8+85=93'] Exploring Operation: 93-49=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 50, 35, 2, 61 ]
23
[ "50-35=15", "61-15=46", "46/2=23" ]
Current State: 23:[50, 35, 2, 61], Operations: [] Exploring Operation: 50-35=15, Resulting Numbers: [2, 61, 15] Generated Node #2: [2, 61, 15] from Operation: 50-35=15 Current State: 23:[2, 61, 15], Operations: ['50-35=15'] Exploring Operation: 61-15=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 61-15=46 Current State: 23:[2, 46], Operations: ['50-35=15', '61-15=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 69, 64, 49, 92 ]
97
[ "69*64=4416", "4416/92=48", "49+48=97" ]
Current State: 97:[69, 64, 49, 92], Operations: [] Exploring Operation: 69*64=4416, Resulting Numbers: [49, 92, 4416] Generated Node #2: [49, 92, 4416] from Operation: 69*64=4416 Current State: 97:[49, 92, 4416], Operations: ['69*64=4416'] Exploring Operation: 4416/92=48, Resulting Numbers: [49, 48] Generated Node #3: [49, 48] from Operation: 4416/92=48 Current State: 97:[49, 48], Operations: ['69*64=4416', '4416/92=48'] Exploring Operation: 49+48=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 81, 27, 62, 40 ]
11
[ "81+62=143", "40-27=13", "143/13=11" ]
Current State: 11:[81, 27, 62, 40], Operations: [] Exploring Operation: 81+62=143, Resulting Numbers: [27, 40, 143] Generated Node #2: [27, 40, 143] from Operation: 81+62=143 Current State: 11:[27, 40, 143], Operations: ['81+62=143'] Exploring Operation: 40-27=13, Resulting Numbers: [143, 13] Generated Node #3: [143, 13] from Operation: 40-27=13 Current State: 11:[143, 13], Operations: ['81+62=143', '40-27=13'] Exploring Operation: 143/13=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 6, 32, 20, 16 ]
32
[ "6*32=192", "192/16=12", "20+12=32" ]
Current State: 32:[6, 32, 20, 16], Operations: [] Exploring Operation: 6*32=192, Resulting Numbers: [20, 16, 192] Generated Node #2: [20, 16, 192] from Operation: 6*32=192 Current State: 32:[20, 16, 192], Operations: ['6*32=192'] Exploring Operation: 192/16=12, Resulting Numbers: [20, 12] Generated Node #3: [20, 12] from Operation: 192/16=12 Current State: 32:[20, 12], Operations: ['6*32=192', '192/16=12'] Exploring Operation: 20+12=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 66, 47, 39, 2 ]
23
[ "47+39=86", "86/2=43", "66-43=23" ]
Current State: 23:[66, 47, 39, 2], Operations: [] Exploring Operation: 47+39=86, Resulting Numbers: [66, 2, 86] Generated Node #2: [66, 2, 86] from Operation: 47+39=86 Current State: 23:[66, 2, 86], Operations: ['47+39=86'] Exploring Operation: 86/2=43, Resulting Numbers: [66, 43] Generated Node #3: [66, 43] from Operation: 86/2=43 Current State: 23:[66, 43], Operations: ['47+39=86', '86/2=43'] Exploring Operation: 66-43=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 86, 95, 17, 25 ]
72
[ "95-86=9", "25-17=8", "9*8=72" ]
Current State: 72:[86, 95, 17, 25], Operations: [] Exploring Operation: 95-86=9, Resulting Numbers: [17, 25, 9] Generated Node #2: [17, 25, 9] from Operation: 95-86=9 Current State: 72:[17, 25, 9], Operations: ['95-86=9'] Exploring Operation: 25-17=8, Resulting Numbers: [9, 8] Generated Node #3: [9, 8] from Operation: 25-17=8 Current State: 72:[9, 8], Operations: ['95-86=9', '25-17=8'] Exploring Operation: 9*8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 28, 9, 9, 79 ]
92
[ "28-9=19", "9*19=171", "171-79=92" ]
Current State: 92:[28, 9, 9, 79], Operations: [] Exploring Operation: 28-9=19, Resulting Numbers: [79, 19] Generated Node #2: [79, 19] from Operation: 28-9=19 Current State: 92:[79, 19], Operations: ['28-9=19'] Exploring Operation: 9*19=171, Resulting Numbers: [79, 171] Generated Node #3: [79, 171] from Operation: 9*19=171 Current State: 92:[79, 171], Operations: ['28-9=19', '9*19=171'] Exploring Operation: 171-79=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 22, 88, 32, 56 ]
22
[ "22+88=110", "32+56=88", "110-88=22" ]
Current State: 22:[22, 88, 32, 56], Operations: [] Exploring Operation: 22+88=110, Resulting Numbers: [32, 56, 110] Generated Node #2: [32, 56, 110] from Operation: 22+88=110 Current State: 22:[32, 56, 110], Operations: ['22+88=110'] Exploring Operation: 32+56=88, Resulting Numbers: [110, 88] Generated Node #3: [110, 88] from Operation: 32+56=88 Current State: 22:[110, 88], Operations: ['22+88=110', '32+56=88'] Exploring Operation: 110-88=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 4, 61, 30, 46 ]
73
[ "61-4=57", "46-30=16", "57+16=73" ]
Current State: 73:[4, 61, 30, 46], Operations: [] Exploring Operation: 61-4=57, Resulting Numbers: [30, 46, 57] Generated Node #2: [30, 46, 57] from Operation: 61-4=57 Current State: 73:[30, 46, 57], Operations: ['61-4=57'] Exploring Operation: 46-30=16, Resulting Numbers: [57, 16] Generated Node #3: [57, 16] from Operation: 46-30=16 Current State: 73:[57, 16], Operations: ['61-4=57', '46-30=16'] Exploring Operation: 57+16=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 71, 7, 59, 73 ]
45
[ "73-71=2", "7*2=14", "59-14=45" ]
Current State: 45:[71, 7, 59, 73], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [7, 59, 2] Generated Node #2: [7, 59, 2] from Operation: 73-71=2 Current State: 45:[7, 59, 2], Operations: ['73-71=2'] Exploring Operation: 7*2=14, Resulting Numbers: [59, 14] Generated Node #3: [59, 14] from Operation: 7*2=14 Current State: 45:[59, 14], Operations: ['73-71=2', '7*2=14'] Exploring Operation: 59-14=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 33, 88, 14, 28 ]
57
[ "88-33=55", "28/14=2", "55+2=57" ]
Current State: 57:[33, 88, 14, 28], Operations: [] Exploring Operation: 88-33=55, Resulting Numbers: [14, 28, 55] Generated Node #2: [14, 28, 55] from Operation: 88-33=55 Current State: 57:[14, 28, 55], Operations: ['88-33=55'] Exploring Operation: 28/14=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 28/14=2 Current State: 57:[55, 2], Operations: ['88-33=55', '28/14=2'] Exploring Operation: 55+2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 37, 90, 14, 70 ]
71
[ "37+90=127", "70-14=56", "127-56=71" ]
Current State: 71:[37, 90, 14, 70], Operations: [] Exploring Operation: 37+90=127, Resulting Numbers: [14, 70, 127] Generated Node #2: [14, 70, 127] from Operation: 37+90=127 Current State: 71:[14, 70, 127], Operations: ['37+90=127'] Exploring Operation: 70-14=56, Resulting Numbers: [127, 56] Generated Node #3: [127, 56] from Operation: 70-14=56 Current State: 71:[127, 56], Operations: ['37+90=127', '70-14=56'] Exploring Operation: 127-56=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 76, 47, 88, 67 ]
15
[ "76-67=9", "47+88=135", "135/9=15" ]
Current State: 15:[76, 47, 88, 67], Operations: [] Exploring Operation: 76-67=9, Resulting Numbers: [47, 88, 9] Generated Node #2: [47, 88, 9] from Operation: 76-67=9 Current State: 15:[47, 88, 9], Operations: ['76-67=9'] Exploring Operation: 47+88=135, Resulting Numbers: [9, 135] Generated Node #3: [9, 135] from Operation: 47+88=135 Current State: 15:[9, 135], Operations: ['76-67=9', '47+88=135'] Exploring Operation: 135/9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 39, 69, 20, 10 ]
20
[ "69-39=30", "20-10=10", "30-10=20" ]
Current State: 20:[39, 69, 20, 10], Operations: [] Exploring Operation: 69-39=30, Resulting Numbers: [20, 10, 30] Generated Node #2: [20, 10, 30] from Operation: 69-39=30 Current State: 20:[20, 10, 30], Operations: ['69-39=30'] Exploring Operation: 20-10=10, Resulting Numbers: [30, 10] Generated Node #3: [30, 10] from Operation: 20-10=10 Current State: 20:[30, 10], Operations: ['69-39=30', '20-10=10'] Exploring Operation: 30-10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 48, 72, 62, 61 ]
24
[ "72-48=24", "62-61=1", "24*1=24" ]
Current State: 24:[48, 72, 62, 61], Operations: [] Exploring Operation: 72-48=24, Resulting Numbers: [62, 61, 24] Generated Node #2: [62, 61, 24] from Operation: 72-48=24 Current State: 24:[62, 61, 24], Operations: ['72-48=24'] Exploring Operation: 62-61=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 62-61=1 Current State: 24:[24, 1], Operations: ['72-48=24', '62-61=1'] Exploring Operation: 24*1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 52, 97, 39, 6 ]
90
[ "97-52=45", "39+6=45", "45+45=90" ]
Current State: 90:[52, 97, 39, 6], Operations: [] Exploring Operation: 97-52=45, Resulting Numbers: [39, 6, 45] Generated Node #2: [39, 6, 45] from Operation: 97-52=45 Current State: 90:[39, 6, 45], Operations: ['97-52=45'] Exploring Operation: 39+6=45, Resulting Numbers: [45, 45] Generated Node #3: [45, 45] from Operation: 39+6=45 Current State: 90:[45, 45], Operations: ['97-52=45', '39+6=45'] Exploring Operation: 45+45=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 78, 48, 10, 42 ]
82
[ "78-48=30", "10+42=52", "30+52=82" ]
Current State: 82:[78, 48, 10, 42], Operations: [] Exploring Operation: 78-48=30, Resulting Numbers: [10, 42, 30] Generated Node #2: [10, 42, 30] from Operation: 78-48=30 Current State: 82:[10, 42, 30], Operations: ['78-48=30'] Exploring Operation: 10+42=52, Resulting Numbers: [30, 52] Generated Node #3: [30, 52] from Operation: 10+42=52 Current State: 82:[30, 52], Operations: ['78-48=30', '10+42=52'] Exploring Operation: 30+52=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 77, 79, 54, 39 ]
58
[ "77+79=156", "156/39=4", "54+4=58" ]
Current State: 58:[77, 79, 54, 39], Operations: [] Exploring Operation: 77+79=156, Resulting Numbers: [54, 39, 156] Generated Node #2: [54, 39, 156] from Operation: 77+79=156 Current State: 58:[54, 39, 156], Operations: ['77+79=156'] Exploring Operation: 156/39=4, Resulting Numbers: [54, 4] Generated Node #3: [54, 4] from Operation: 156/39=4 Current State: 58:[54, 4], Operations: ['77+79=156', '156/39=4'] Exploring Operation: 54+4=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 49, 5, 95, 49 ]
95
[ "49-49=0", "5*0=0", "95+0=95" ]
Current State: 95:[49, 5, 95, 49], Operations: [] Exploring Operation: 49-49=0, Resulting Numbers: [5, 95, 0] Generated Node #2: [5, 95, 0] from Operation: 49-49=0 Current State: 95:[5, 95, 0], Operations: ['49-49=0'] Exploring Operation: 5*0=0, Resulting Numbers: [95, 0] Generated Node #3: [95, 0] from Operation: 5*0=0 Current State: 95:[95, 0], Operations: ['49-49=0', '5*0=0'] Exploring Operation: 95+0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 9, 54, 62, 21 ]
65
[ "9+54=63", "63/21=3", "62+3=65" ]
Current State: 65:[9, 54, 62, 21], Operations: [] Exploring Operation: 9+54=63, Resulting Numbers: [62, 21, 63] Generated Node #2: [62, 21, 63] from Operation: 9+54=63 Current State: 65:[62, 21, 63], Operations: ['9+54=63'] Exploring Operation: 63/21=3, Resulting Numbers: [62, 3] Generated Node #3: [62, 3] from Operation: 63/21=3 Current State: 65:[62, 3], Operations: ['9+54=63', '63/21=3'] Exploring Operation: 62+3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 6, 10, 7, 72 ]
69
[ "10-6=4", "72-7=65", "4+65=69" ]
Current State: 69:[6, 10, 7, 72], Operations: [] Exploring Operation: 10-6=4, Resulting Numbers: [7, 72, 4] Generated Node #2: [7, 72, 4] from Operation: 10-6=4 Current State: 69:[7, 72, 4], Operations: ['10-6=4'] Exploring Operation: 72-7=65, Resulting Numbers: [4, 65] Generated Node #3: [4, 65] from Operation: 72-7=65 Current State: 69:[4, 65], Operations: ['10-6=4', '72-7=65'] Exploring Operation: 4+65=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 86, 72, 97, 28 ]
95
[ "86-72=14", "28/14=2", "97-2=95" ]
Current State: 95:[86, 72, 97, 28], Operations: [] Exploring Operation: 86-72=14, Resulting Numbers: [97, 28, 14] Generated Node #2: [97, 28, 14] from Operation: 86-72=14 Current State: 95:[97, 28, 14], Operations: ['86-72=14'] Exploring Operation: 28/14=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 28/14=2 Current State: 95:[97, 2], Operations: ['86-72=14', '28/14=2'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 80, 48, 51, 15 ]
100
[ "80*51=4080", "4080/48=85", "15+85=100" ]
Current State: 100:[80, 48, 51, 15], Operations: [] Exploring Operation: 80*51=4080, Resulting Numbers: [48, 15, 4080] Generated Node #2: [48, 15, 4080] from Operation: 80*51=4080 Current State: 100:[48, 15, 4080], Operations: ['80*51=4080'] Exploring Operation: 4080/48=85, Resulting Numbers: [15, 85] Generated Node #3: [15, 85] from Operation: 4080/48=85 Current State: 100:[15, 85], Operations: ['80*51=4080', '4080/48=85'] Exploring Operation: 15+85=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 3, 80, 34 ]
24
[ "80-2=78", "3*34=102", "102-78=24" ]
Current State: 24:[2, 3, 80, 34], Operations: [] Exploring Operation: 80-2=78, Resulting Numbers: [3, 34, 78] Generated Node #2: [3, 34, 78] from Operation: 80-2=78 Current State: 24:[3, 34, 78], Operations: ['80-2=78'] Exploring Operation: 3*34=102, Resulting Numbers: [78, 102] Generated Node #3: [78, 102] from Operation: 3*34=102 Current State: 24:[78, 102], Operations: ['80-2=78', '3*34=102'] Exploring Operation: 102-78=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 70, 14, 12, 23 ]
58
[ "14-12=2", "70/2=35", "23+35=58" ]
Current State: 58:[70, 14, 12, 23], Operations: [] Exploring Operation: 14-12=2, Resulting Numbers: [70, 23, 2] Generated Node #2: [70, 23, 2] from Operation: 14-12=2 Current State: 58:[70, 23, 2], Operations: ['14-12=2'] Exploring Operation: 70/2=35, Resulting Numbers: [23, 35] Generated Node #3: [23, 35] from Operation: 70/2=35 Current State: 58:[23, 35], Operations: ['14-12=2', '70/2=35'] Exploring Operation: 23+35=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 37, 43, 42, 40 ]
49
[ "42-40=2", "43*2=86", "86-37=49" ]
Current State: 49:[37, 43, 42, 40], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [37, 43, 2] Generated Node #2: [37, 43, 2] from Operation: 42-40=2 Current State: 49:[37, 43, 2], Operations: ['42-40=2'] Exploring Operation: 43*2=86, Resulting Numbers: [37, 86] Generated Node #3: [37, 86] from Operation: 43*2=86 Current State: 49:[37, 86], Operations: ['42-40=2', '43*2=86'] Exploring Operation: 86-37=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 69, 55, 83, 16 ]
18
[ "55+83=138", "138/69=2", "16+2=18" ]
Current State: 18:[69, 55, 83, 16], Operations: [] Exploring Operation: 55+83=138, Resulting Numbers: [69, 16, 138] Generated Node #2: [69, 16, 138] from Operation: 55+83=138 Current State: 18:[69, 16, 138], Operations: ['55+83=138'] Exploring Operation: 138/69=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 138/69=2 Current State: 18:[16, 2], Operations: ['55+83=138', '138/69=2'] Exploring Operation: 16+2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 60, 87, 55, 90 ]
75
[ "90-87=3", "60/3=20", "55+20=75" ]
Current State: 75:[60, 87, 55, 90], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [60, 55, 3] Generated Node #2: [60, 55, 3] from Operation: 90-87=3 Current State: 75:[60, 55, 3], Operations: ['90-87=3'] Exploring Operation: 60/3=20, Resulting Numbers: [55, 20] Generated Node #3: [55, 20] from Operation: 60/3=20 Current State: 75:[55, 20], Operations: ['90-87=3', '60/3=20'] Exploring Operation: 55+20=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 18, 19, 68, 21 ]
46
[ "19-18=1", "68-21=47", "47-1=46" ]
Current State: 46:[18, 19, 68, 21], Operations: [] Exploring Operation: 19-18=1, Resulting Numbers: [68, 21, 1] Generated Node #2: [68, 21, 1] from Operation: 19-18=1 Current State: 46:[68, 21, 1], Operations: ['19-18=1'] Exploring Operation: 68-21=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 68-21=47 Current State: 46:[1, 47], Operations: ['19-18=1', '68-21=47'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 85, 82, 44, 71 ]
24
[ "85-82=3", "71-44=27", "27-3=24" ]
Current State: 24:[85, 82, 44, 71], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [44, 71, 3] Generated Node #2: [44, 71, 3] from Operation: 85-82=3 Current State: 24:[44, 71, 3], Operations: ['85-82=3'] Exploring Operation: 71-44=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 71-44=27 Current State: 24:[3, 27], Operations: ['85-82=3', '71-44=27'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 49, 51, 18, 52 ]
30
[ "49+51=100", "18+52=70", "100-70=30" ]
Current State: 30:[49, 51, 18, 52], Operations: [] Exploring Operation: 49+51=100, Resulting Numbers: [18, 52, 100] Generated Node #2: [18, 52, 100] from Operation: 49+51=100 Current State: 30:[18, 52, 100], Operations: ['49+51=100'] Exploring Operation: 18+52=70, Resulting Numbers: [100, 70] Generated Node #3: [100, 70] from Operation: 18+52=70 Current State: 30:[100, 70], Operations: ['49+51=100', '18+52=70'] Exploring Operation: 100-70=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 35, 9, 67, 45 ]
37
[ "67-35=32", "45/9=5", "32+5=37" ]
Current State: 37:[35, 9, 67, 45], Operations: [] Exploring Operation: 67-35=32, Resulting Numbers: [9, 45, 32] Generated Node #2: [9, 45, 32] from Operation: 67-35=32 Current State: 37:[9, 45, 32], Operations: ['67-35=32'] Exploring Operation: 45/9=5, Resulting Numbers: [32, 5] Generated Node #3: [32, 5] from Operation: 45/9=5 Current State: 37:[32, 5], Operations: ['67-35=32', '45/9=5'] Exploring Operation: 32+5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 31, 28, 72, 34 ]
97
[ "31+28=59", "72-34=38", "59+38=97" ]
Current State: 97:[31, 28, 72, 34], Operations: [] Exploring Operation: 31+28=59, Resulting Numbers: [72, 34, 59] Generated Node #2: [72, 34, 59] from Operation: 31+28=59 Current State: 97:[72, 34, 59], Operations: ['31+28=59'] Exploring Operation: 72-34=38, Resulting Numbers: [59, 38] Generated Node #3: [59, 38] from Operation: 72-34=38 Current State: 97:[59, 38], Operations: ['31+28=59', '72-34=38'] Exploring Operation: 59+38=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 56, 16, 78, 6 ]
85
[ "56+16=72", "78/6=13", "72+13=85" ]
Current State: 85:[56, 16, 78, 6], Operations: [] Exploring Operation: 56+16=72, Resulting Numbers: [78, 6, 72] Generated Node #2: [78, 6, 72] from Operation: 56+16=72 Current State: 85:[78, 6, 72], Operations: ['56+16=72'] Exploring Operation: 78/6=13, Resulting Numbers: [72, 13] Generated Node #3: [72, 13] from Operation: 78/6=13 Current State: 85:[72, 13], Operations: ['56+16=72', '78/6=13'] Exploring Operation: 72+13=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 41, 94, 66, 86 ]
99
[ "94-41=53", "66+86=152", "152-53=99" ]
Current State: 99:[41, 94, 66, 86], Operations: [] Exploring Operation: 94-41=53, Resulting Numbers: [66, 86, 53] Generated Node #2: [66, 86, 53] from Operation: 94-41=53 Current State: 99:[66, 86, 53], Operations: ['94-41=53'] Exploring Operation: 66+86=152, Resulting Numbers: [53, 152] Generated Node #3: [53, 152] from Operation: 66+86=152 Current State: 99:[53, 152], Operations: ['94-41=53', '66+86=152'] Exploring Operation: 152-53=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 13, 44, 44, 11 ]
25
[ "13+11=24", "44/44=1", "24+1=25" ]
Current State: 25:[13, 44, 44, 11], Operations: [] Exploring Operation: 13+11=24, Resulting Numbers: [44, 44, 24] Generated Node #2: [44, 44, 24] from Operation: 13+11=24 Current State: 25:[44, 44, 24], Operations: ['13+11=24'] Exploring Operation: 44/44=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 44/44=1 Current State: 25:[24, 1], Operations: ['13+11=24', '44/44=1'] Exploring Operation: 24+1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 57, 60, 77, 10 ]
47
[ "60-57=3", "10*3=30", "77-30=47" ]
Current State: 47:[57, 60, 77, 10], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [77, 10, 3] Generated Node #2: [77, 10, 3] from Operation: 60-57=3 Current State: 47:[77, 10, 3], Operations: ['60-57=3'] Exploring Operation: 10*3=30, Resulting Numbers: [77, 30] Generated Node #3: [77, 30] from Operation: 10*3=30 Current State: 47:[77, 30], Operations: ['60-57=3', '10*3=30'] Exploring Operation: 77-30=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 70, 60, 8, 44 ]
58
[ "60-44=16", "8*16=128", "128-70=58" ]
Current State: 58:[70, 60, 8, 44], Operations: [] Exploring Operation: 60-44=16, Resulting Numbers: [70, 8, 16] Generated Node #2: [70, 8, 16] from Operation: 60-44=16 Current State: 58:[70, 8, 16], Operations: ['60-44=16'] Exploring Operation: 8*16=128, Resulting Numbers: [70, 128] Generated Node #3: [70, 128] from Operation: 8*16=128 Current State: 58:[70, 128], Operations: ['60-44=16', '8*16=128'] Exploring Operation: 128-70=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 31, 67, 16, 31 ]
82
[ "31/31=1", "67+16=83", "83-1=82" ]
Current State: 82:[31, 67, 16, 31], Operations: [] Exploring Operation: 31/31=1, Resulting Numbers: [67, 16, 1] Generated Node #2: [67, 16, 1] from Operation: 31/31=1 Current State: 82:[67, 16, 1], Operations: ['31/31=1'] Exploring Operation: 67+16=83, Resulting Numbers: [1, 83] Generated Node #3: [1, 83] from Operation: 67+16=83 Current State: 82:[1, 83], Operations: ['31/31=1', '67+16=83'] Exploring Operation: 83-1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 7, 5, 42, 57 ]
58
[ "42/7=6", "57-5=52", "6+52=58" ]
Current State: 58:[7, 5, 42, 57], Operations: [] Exploring Operation: 42/7=6, Resulting Numbers: [5, 57, 6] Generated Node #2: [5, 57, 6] from Operation: 42/7=6 Current State: 58:[5, 57, 6], Operations: ['42/7=6'] Exploring Operation: 57-5=52, Resulting Numbers: [6, 52] Generated Node #3: [6, 52] from Operation: 57-5=52 Current State: 58:[6, 52], Operations: ['42/7=6', '57-5=52'] Exploring Operation: 6+52=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 80, 64, 48, 23 ]
13
[ "48*23=1104", "1104-64=1040", "1040/80=13" ]
Current State: 13:[80, 64, 48, 23], Operations: [] Exploring Operation: 48*23=1104, Resulting Numbers: [80, 64, 1104] Generated Node #2: [80, 64, 1104] from Operation: 48*23=1104 Current State: 13:[80, 64, 1104], Operations: ['48*23=1104'] Exploring Operation: 1104-64=1040, Resulting Numbers: [80, 1040] Generated Node #3: [80, 1040] from Operation: 1104-64=1040 Current State: 13:[80, 1040], Operations: ['48*23=1104', '1104-64=1040'] Exploring Operation: 1040/80=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 81, 8, 51, 51 ]
74
[ "81-8=73", "51/51=1", "73+1=74" ]
Current State: 74:[81, 8, 51, 51], Operations: [] Exploring Operation: 81-8=73, Resulting Numbers: [51, 51, 73] Generated Node #2: [51, 51, 73] from Operation: 81-8=73 Current State: 74:[51, 51, 73], Operations: ['81-8=73'] Exploring Operation: 51/51=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 51/51=1 Current State: 74:[73, 1], Operations: ['81-8=73', '51/51=1'] Exploring Operation: 73+1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 2, 51, 58, 72 ]
10
[ "72-2=70", "58-51=7", "70/7=10" ]
Current State: 10:[2, 51, 58, 72], Operations: [] Exploring Operation: 72-2=70, Resulting Numbers: [51, 58, 70] Generated Node #2: [51, 58, 70] from Operation: 72-2=70 Current State: 10:[51, 58, 70], Operations: ['72-2=70'] Exploring Operation: 58-51=7, Resulting Numbers: [70, 7] Generated Node #3: [70, 7] from Operation: 58-51=7 Current State: 10:[70, 7], Operations: ['72-2=70', '58-51=7'] Exploring Operation: 70/7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 24, 69, 46, 81 ]
81
[ "69-24=45", "46-45=1", "81*1=81" ]
Current State: 81:[24, 69, 46, 81], Operations: [] Exploring Operation: 69-24=45, Resulting Numbers: [46, 81, 45] Generated Node #2: [46, 81, 45] from Operation: 69-24=45 Current State: 81:[46, 81, 45], Operations: ['69-24=45'] Exploring Operation: 46-45=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 46-45=1 Current State: 81:[81, 1], Operations: ['69-24=45', '46-45=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 97, 62, 18, 5 ]
55
[ "97-62=35", "18*5=90", "90-35=55" ]
Current State: 55:[97, 62, 18, 5], Operations: [] Exploring Operation: 97-62=35, Resulting Numbers: [18, 5, 35] Generated Node #2: [18, 5, 35] from Operation: 97-62=35 Current State: 55:[18, 5, 35], Operations: ['97-62=35'] Exploring Operation: 18*5=90, Resulting Numbers: [35, 90] Generated Node #3: [35, 90] from Operation: 18*5=90 Current State: 55:[35, 90], Operations: ['97-62=35', '18*5=90'] Exploring Operation: 90-35=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 58, 82, 78, 28 ]
73
[ "58+82=140", "140/28=5", "78-5=73" ]
Current State: 73:[58, 82, 78, 28], Operations: [] Exploring Operation: 58+82=140, Resulting Numbers: [78, 28, 140] Generated Node #2: [78, 28, 140] from Operation: 58+82=140 Current State: 73:[78, 28, 140], Operations: ['58+82=140'] Exploring Operation: 140/28=5, Resulting Numbers: [78, 5] Generated Node #3: [78, 5] from Operation: 140/28=5 Current State: 73:[78, 5], Operations: ['58+82=140', '140/28=5'] Exploring Operation: 78-5=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 18, 63, 36, 87 ]
50
[ "36*87=3132", "18+3132=3150", "3150/63=50" ]
Current State: 50:[18, 63, 36, 87], Operations: [] Exploring Operation: 36*87=3132, Resulting Numbers: [18, 63, 3132] Generated Node #2: [18, 63, 3132] from Operation: 36*87=3132 Current State: 50:[18, 63, 3132], Operations: ['36*87=3132'] Exploring Operation: 18+3132=3150, Resulting Numbers: [63, 3150] Generated Node #3: [63, 3150] from Operation: 18+3132=3150 Current State: 50:[63, 3150], Operations: ['36*87=3132', '18+3132=3150'] Exploring Operation: 3150/63=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 29, 16, 50, 19 ]
21
[ "29-19=10", "50/10=5", "16+5=21" ]
Current State: 21:[29, 16, 50, 19], Operations: [] Exploring Operation: 29-19=10, Resulting Numbers: [16, 50, 10] Generated Node #2: [16, 50, 10] from Operation: 29-19=10 Current State: 21:[16, 50, 10], Operations: ['29-19=10'] Exploring Operation: 50/10=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 50/10=5 Current State: 21:[16, 5], Operations: ['29-19=10', '50/10=5'] Exploring Operation: 16+5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 3, 2, 57, 86 ]
31
[ "86-3=83", "2*57=114", "114-83=31" ]
Current State: 31:[3, 2, 57, 86], Operations: [] Exploring Operation: 86-3=83, Resulting Numbers: [2, 57, 83] Generated Node #2: [2, 57, 83] from Operation: 86-3=83 Current State: 31:[2, 57, 83], Operations: ['86-3=83'] Exploring Operation: 2*57=114, Resulting Numbers: [83, 114] Generated Node #3: [83, 114] from Operation: 2*57=114 Current State: 31:[83, 114], Operations: ['86-3=83', '2*57=114'] Exploring Operation: 114-83=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 21, 15, 64, 80 ]
96
[ "21-15=6", "80-64=16", "6*16=96" ]
Current State: 96:[21, 15, 64, 80], Operations: [] Exploring Operation: 21-15=6, Resulting Numbers: [64, 80, 6] Generated Node #2: [64, 80, 6] from Operation: 21-15=6 Current State: 96:[64, 80, 6], Operations: ['21-15=6'] Exploring Operation: 80-64=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 80-64=16 Current State: 96:[6, 16], Operations: ['21-15=6', '80-64=16'] Exploring Operation: 6*16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 20, 22, 64, 60 ]
45
[ "60/20=3", "64-22=42", "3+42=45" ]
Current State: 45:[20, 22, 64, 60], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [22, 64, 3] Generated Node #2: [22, 64, 3] from Operation: 60/20=3 Current State: 45:[22, 64, 3], Operations: ['60/20=3'] Exploring Operation: 64-22=42, Resulting Numbers: [3, 42] Generated Node #3: [3, 42] from Operation: 64-22=42 Current State: 45:[3, 42], Operations: ['60/20=3', '64-22=42'] Exploring Operation: 3+42=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 63, 31, 20, 97 ]
45
[ "63-31=32", "97-20=77", "77-32=45" ]
Current State: 45:[63, 31, 20, 97], Operations: [] Exploring Operation: 63-31=32, Resulting Numbers: [20, 97, 32] Generated Node #2: [20, 97, 32] from Operation: 63-31=32 Current State: 45:[20, 97, 32], Operations: ['63-31=32'] Exploring Operation: 97-20=77, Resulting Numbers: [32, 77] Generated Node #3: [32, 77] from Operation: 97-20=77 Current State: 45:[32, 77], Operations: ['63-31=32', '97-20=77'] Exploring Operation: 77-32=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 5, 38, 73, 60 ]
56
[ "5+38=43", "73-60=13", "43+13=56" ]
Current State: 56:[5, 38, 73, 60], Operations: [] Exploring Operation: 5+38=43, Resulting Numbers: [73, 60, 43] Generated Node #2: [73, 60, 43] from Operation: 5+38=43 Current State: 56:[73, 60, 43], Operations: ['5+38=43'] Exploring Operation: 73-60=13, Resulting Numbers: [43, 13] Generated Node #3: [43, 13] from Operation: 73-60=13 Current State: 56:[43, 13], Operations: ['5+38=43', '73-60=13'] Exploring Operation: 43+13=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 27, 98, 60, 38 ]
27
[ "27+98=125", "60+38=98", "125-98=27" ]
Current State: 27:[27, 98, 60, 38], Operations: [] Exploring Operation: 27+98=125, Resulting Numbers: [60, 38, 125] Generated Node #2: [60, 38, 125] from Operation: 27+98=125 Current State: 27:[60, 38, 125], Operations: ['27+98=125'] Exploring Operation: 60+38=98, Resulting Numbers: [125, 98] Generated Node #3: [125, 98] from Operation: 60+38=98 Current State: 27:[125, 98], Operations: ['27+98=125', '60+38=98'] Exploring Operation: 125-98=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 93, 90, 16, 64 ]
16
[ "93-90=3", "64-16=48", "48/3=16" ]
Current State: 16:[93, 90, 16, 64], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [16, 64, 3] Generated Node #2: [16, 64, 3] from Operation: 93-90=3 Current State: 16:[16, 64, 3], Operations: ['93-90=3'] Exploring Operation: 64-16=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 64-16=48 Current State: 16:[3, 48], Operations: ['93-90=3', '64-16=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 20, 2, 27, 18 ]
50
[ "27-20=7", "18+7=25", "2*25=50" ]
Current State: 50:[20, 2, 27, 18], Operations: [] Exploring Operation: 27-20=7, Resulting Numbers: [2, 18, 7] Generated Node #2: [2, 18, 7] from Operation: 27-20=7 Current State: 50:[2, 18, 7], Operations: ['27-20=7'] Exploring Operation: 18+7=25, Resulting Numbers: [2, 25] Generated Node #3: [2, 25] from Operation: 18+7=25 Current State: 50:[2, 25], Operations: ['27-20=7', '18+7=25'] Exploring Operation: 2*25=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 36, 1, 15, 41 ]
91
[ "36-1=35", "15+41=56", "35+56=91" ]
Current State: 91:[36, 1, 15, 41], Operations: [] Exploring Operation: 36-1=35, Resulting Numbers: [15, 41, 35] Generated Node #2: [15, 41, 35] from Operation: 36-1=35 Current State: 91:[15, 41, 35], Operations: ['36-1=35'] Exploring Operation: 15+41=56, Resulting Numbers: [35, 56] Generated Node #3: [35, 56] from Operation: 15+41=56 Current State: 91:[35, 56], Operations: ['36-1=35', '15+41=56'] Exploring Operation: 35+56=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 76, 74, 31, 30 ]
46
[ "76-74=2", "30/2=15", "31+15=46" ]
Current State: 46:[76, 74, 31, 30], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [31, 30, 2] Generated Node #2: [31, 30, 2] from Operation: 76-74=2 Current State: 46:[31, 30, 2], Operations: ['76-74=2'] Exploring Operation: 30/2=15, Resulting Numbers: [31, 15] Generated Node #3: [31, 15] from Operation: 30/2=15 Current State: 46:[31, 15], Operations: ['76-74=2', '30/2=15'] Exploring Operation: 31+15=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 60, 3, 2, 80 ]
37
[ "60*2=120", "3+80=83", "120-83=37" ]
Current State: 37:[60, 3, 2, 80], Operations: [] Exploring Operation: 60*2=120, Resulting Numbers: [3, 80, 120] Generated Node #2: [3, 80, 120] from Operation: 60*2=120 Current State: 37:[3, 80, 120], Operations: ['60*2=120'] Exploring Operation: 3+80=83, Resulting Numbers: [120, 83] Generated Node #3: [120, 83] from Operation: 3+80=83 Current State: 37:[120, 83], Operations: ['60*2=120', '3+80=83'] Exploring Operation: 120-83=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 67, 40, 42, 65 ]
50
[ "67*40=2680", "42*65=2730", "2730-2680=50" ]
Current State: 50:[67, 40, 42, 65], Operations: [] Exploring Operation: 67*40=2680, Resulting Numbers: [42, 65, 2680] Generated Node #2: [42, 65, 2680] from Operation: 67*40=2680 Current State: 50:[42, 65, 2680], Operations: ['67*40=2680'] Exploring Operation: 42*65=2730, Resulting Numbers: [2680, 2730] Generated Node #3: [2680, 2730] from Operation: 42*65=2730 Current State: 50:[2680, 2730], Operations: ['67*40=2680', '42*65=2730'] Exploring Operation: 2730-2680=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 21, 8, 14, 2 ]
51
[ "21+14=35", "8*2=16", "35+16=51" ]
Current State: 51:[21, 8, 14, 2], Operations: [] Exploring Operation: 21+14=35, Resulting Numbers: [8, 2, 35] Generated Node #2: [8, 2, 35] from Operation: 21+14=35 Current State: 51:[8, 2, 35], Operations: ['21+14=35'] Exploring Operation: 8*2=16, Resulting Numbers: [35, 16] Generated Node #3: [35, 16] from Operation: 8*2=16 Current State: 51:[35, 16], Operations: ['21+14=35', '8*2=16'] Exploring Operation: 35+16=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 6, 71, 21, 26 ]
82
[ "6+71=77", "26-21=5", "77+5=82" ]
Current State: 82:[6, 71, 21, 26], Operations: [] Exploring Operation: 6+71=77, Resulting Numbers: [21, 26, 77] Generated Node #2: [21, 26, 77] from Operation: 6+71=77 Current State: 82:[21, 26, 77], Operations: ['6+71=77'] Exploring Operation: 26-21=5, Resulting Numbers: [77, 5] Generated Node #3: [77, 5] from Operation: 26-21=5 Current State: 82:[77, 5], Operations: ['6+71=77', '26-21=5'] Exploring Operation: 77+5=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 82, 5, 48, 38 ]
72
[ "82+38=120", "120/5=24", "48+24=72" ]
Current State: 72:[82, 5, 48, 38], Operations: [] Exploring Operation: 82+38=120, Resulting Numbers: [5, 48, 120] Generated Node #2: [5, 48, 120] from Operation: 82+38=120 Current State: 72:[5, 48, 120], Operations: ['82+38=120'] Exploring Operation: 120/5=24, Resulting Numbers: [48, 24] Generated Node #3: [48, 24] from Operation: 120/5=24 Current State: 72:[48, 24], Operations: ['82+38=120', '120/5=24'] Exploring Operation: 48+24=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 90, 64, 12, 60 ]
78
[ "64-12=52", "90*52=4680", "4680/60=78" ]
Current State: 78:[90, 64, 12, 60], Operations: [] Exploring Operation: 64-12=52, Resulting Numbers: [90, 60, 52] Generated Node #2: [90, 60, 52] from Operation: 64-12=52 Current State: 78:[90, 60, 52], Operations: ['64-12=52'] Exploring Operation: 90*52=4680, Resulting Numbers: [60, 4680] Generated Node #3: [60, 4680] from Operation: 90*52=4680 Current State: 78:[60, 4680], Operations: ['64-12=52', '90*52=4680'] Exploring Operation: 4680/60=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 55, 88, 5, 91 ]
57
[ "55+88=143", "91-5=86", "143-86=57" ]
Current State: 57:[55, 88, 5, 91], Operations: [] Exploring Operation: 55+88=143, Resulting Numbers: [5, 91, 143] Generated Node #2: [5, 91, 143] from Operation: 55+88=143 Current State: 57:[5, 91, 143], Operations: ['55+88=143'] Exploring Operation: 91-5=86, Resulting Numbers: [143, 86] Generated Node #3: [143, 86] from Operation: 91-5=86 Current State: 57:[143, 86], Operations: ['55+88=143', '91-5=86'] Exploring Operation: 143-86=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 15, 73, 4, 77 ]
90
[ "15*4=60", "73+77=150", "150-60=90" ]
Current State: 90:[15, 73, 4, 77], Operations: [] Exploring Operation: 15*4=60, Resulting Numbers: [73, 77, 60] Generated Node #2: [73, 77, 60] from Operation: 15*4=60 Current State: 90:[73, 77, 60], Operations: ['15*4=60'] Exploring Operation: 73+77=150, Resulting Numbers: [60, 150] Generated Node #3: [60, 150] from Operation: 73+77=150 Current State: 90:[60, 150], Operations: ['15*4=60', '73+77=150'] Exploring Operation: 150-60=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 36, 14, 4, 9 ]
11
[ "36+9=45", "14*4=56", "56-45=11" ]
Current State: 11:[36, 14, 4, 9], Operations: [] Exploring Operation: 36+9=45, Resulting Numbers: [14, 4, 45] Generated Node #2: [14, 4, 45] from Operation: 36+9=45 Current State: 11:[14, 4, 45], Operations: ['36+9=45'] Exploring Operation: 14*4=56, Resulting Numbers: [45, 56] Generated Node #3: [45, 56] from Operation: 14*4=56 Current State: 11:[45, 56], Operations: ['36+9=45', '14*4=56'] Exploring Operation: 56-45=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 74, 48, 92, 83 ]
50
[ "74+92=166", "166/83=2", "48+2=50" ]
Current State: 50:[74, 48, 92, 83], Operations: [] Exploring Operation: 74+92=166, Resulting Numbers: [48, 83, 166] Generated Node #2: [48, 83, 166] from Operation: 74+92=166 Current State: 50:[48, 83, 166], Operations: ['74+92=166'] Exploring Operation: 166/83=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 166/83=2 Current State: 50:[48, 2], Operations: ['74+92=166', '166/83=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 39, 37, 24, 54 ]
76
[ "39-37=2", "24+54=78", "78-2=76" ]
Current State: 76:[39, 37, 24, 54], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [24, 54, 2] Generated Node #2: [24, 54, 2] from Operation: 39-37=2 Current State: 76:[24, 54, 2], Operations: ['39-37=2'] Exploring Operation: 24+54=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 24+54=78 Current State: 76:[2, 78], Operations: ['39-37=2', '24+54=78'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 43, 59, 65, 75 ]
26
[ "59-43=16", "75-65=10", "16+10=26" ]
Current State: 26:[43, 59, 65, 75], Operations: [] Exploring Operation: 59-43=16, Resulting Numbers: [65, 75, 16] Generated Node #2: [65, 75, 16] from Operation: 59-43=16 Current State: 26:[65, 75, 16], Operations: ['59-43=16'] Exploring Operation: 75-65=10, Resulting Numbers: [16, 10] Generated Node #3: [16, 10] from Operation: 75-65=10 Current State: 26:[16, 10], Operations: ['59-43=16', '75-65=10'] Exploring Operation: 16+10=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 90, 98, 23, 66 ]
35
[ "98-90=8", "66-23=43", "43-8=35" ]
Current State: 35:[90, 98, 23, 66], Operations: [] Exploring Operation: 98-90=8, Resulting Numbers: [23, 66, 8] Generated Node #2: [23, 66, 8] from Operation: 98-90=8 Current State: 35:[23, 66, 8], Operations: ['98-90=8'] Exploring Operation: 66-23=43, Resulting Numbers: [8, 43] Generated Node #3: [8, 43] from Operation: 66-23=43 Current State: 35:[8, 43], Operations: ['98-90=8', '66-23=43'] Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 99, 7, 64, 2 ]
43
[ "7+64=71", "2*71=142", "142-99=43" ]
Current State: 43:[99, 7, 64, 2], Operations: [] Exploring Operation: 7+64=71, Resulting Numbers: [99, 2, 71] Generated Node #2: [99, 2, 71] from Operation: 7+64=71 Current State: 43:[99, 2, 71], Operations: ['7+64=71'] Exploring Operation: 2*71=142, Resulting Numbers: [99, 142] Generated Node #3: [99, 142] from Operation: 2*71=142 Current State: 43:[99, 142], Operations: ['7+64=71', '2*71=142'] Exploring Operation: 142-99=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 61, 77, 51, 1 ]
67
[ "77-61=16", "51*1=51", "16+51=67" ]
Current State: 67:[61, 77, 51, 1], Operations: [] Exploring Operation: 77-61=16, Resulting Numbers: [51, 1, 16] Generated Node #2: [51, 1, 16] from Operation: 77-61=16 Current State: 67:[51, 1, 16], Operations: ['77-61=16'] Exploring Operation: 51*1=51, Resulting Numbers: [16, 51] Generated Node #3: [16, 51] from Operation: 51*1=51 Current State: 67:[16, 51], Operations: ['77-61=16', '51*1=51'] Exploring Operation: 16+51=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 50, 42, 18, 36 ]
74
[ "50+42=92", "36-18=18", "92-18=74" ]
Current State: 74:[50, 42, 18, 36], Operations: [] Exploring Operation: 50+42=92, Resulting Numbers: [18, 36, 92] Generated Node #2: [18, 36, 92] from Operation: 50+42=92 Current State: 74:[18, 36, 92], Operations: ['50+42=92'] Exploring Operation: 36-18=18, Resulting Numbers: [92, 18] Generated Node #3: [92, 18] from Operation: 36-18=18 Current State: 74:[92, 18], Operations: ['50+42=92', '36-18=18'] Exploring Operation: 92-18=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 40, 73, 77, 61 ]
17
[ "73-40=33", "77-61=16", "33-16=17" ]
Current State: 17:[40, 73, 77, 61], Operations: [] Exploring Operation: 73-40=33, Resulting Numbers: [77, 61, 33] Generated Node #2: [77, 61, 33] from Operation: 73-40=33 Current State: 17:[77, 61, 33], Operations: ['73-40=33'] Exploring Operation: 77-61=16, Resulting Numbers: [33, 16] Generated Node #3: [33, 16] from Operation: 77-61=16 Current State: 17:[33, 16], Operations: ['73-40=33', '77-61=16'] Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 36, 7, 2, 5 ]
69
[ "36-2=34", "7*5=35", "34+35=69" ]
Current State: 69:[36, 7, 2, 5], Operations: [] Exploring Operation: 36-2=34, Resulting Numbers: [7, 5, 34] Generated Node #2: [7, 5, 34] from Operation: 36-2=34 Current State: 69:[7, 5, 34], Operations: ['36-2=34'] Exploring Operation: 7*5=35, Resulting Numbers: [34, 35] Generated Node #3: [34, 35] from Operation: 7*5=35 Current State: 69:[34, 35], Operations: ['36-2=34', '7*5=35'] Exploring Operation: 34+35=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 10, 22, 82, 90 ]
96
[ "22-10=12", "90-82=8", "12*8=96" ]
Current State: 96:[10, 22, 82, 90], Operations: [] Exploring Operation: 22-10=12, Resulting Numbers: [82, 90, 12] Generated Node #2: [82, 90, 12] from Operation: 22-10=12 Current State: 96:[82, 90, 12], Operations: ['22-10=12'] Exploring Operation: 90-82=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 90-82=8 Current State: 96:[12, 8], Operations: ['22-10=12', '90-82=8'] Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 14, 40, 53, 8 ]
35
[ "40-14=26", "53+8=61", "61-26=35" ]
Current State: 35:[14, 40, 53, 8], Operations: [] Exploring Operation: 40-14=26, Resulting Numbers: [53, 8, 26] Generated Node #2: [53, 8, 26] from Operation: 40-14=26 Current State: 35:[53, 8, 26], Operations: ['40-14=26'] Exploring Operation: 53+8=61, Resulting Numbers: [26, 61] Generated Node #3: [26, 61] from Operation: 53+8=61 Current State: 35:[26, 61], Operations: ['40-14=26', '53+8=61'] Exploring Operation: 61-26=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 66, 19, 16, 30 ]
13
[ "66+30=96", "96/16=6", "19-6=13" ]
Current State: 13:[66, 19, 16, 30], Operations: [] Exploring Operation: 66+30=96, Resulting Numbers: [19, 16, 96] Generated Node #2: [19, 16, 96] from Operation: 66+30=96 Current State: 13:[19, 16, 96], Operations: ['66+30=96'] Exploring Operation: 96/16=6, Resulting Numbers: [19, 6] Generated Node #3: [19, 6] from Operation: 96/16=6 Current State: 13:[19, 6], Operations: ['66+30=96', '96/16=6'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 42, 38, 12, 68 ]
65
[ "42*38=1596", "1596/12=133", "133-68=65" ]
Current State: 65:[42, 38, 12, 68], Operations: [] Exploring Operation: 42*38=1596, Resulting Numbers: [12, 68, 1596] Generated Node #2: [12, 68, 1596] from Operation: 42*38=1596 Current State: 65:[12, 68, 1596], Operations: ['42*38=1596'] Exploring Operation: 1596/12=133, Resulting Numbers: [68, 133] Generated Node #3: [68, 133] from Operation: 1596/12=133 Current State: 65:[68, 133], Operations: ['42*38=1596', '1596/12=133'] Exploring Operation: 133-68=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4