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
[ 7, 2, 12, 20 ]
13
[ "7-2=5", "20-12=8", "5+8=13" ]
Current State: 13:[7, 2, 12, 20], Operations: [] Exploring Operation: 7-2=5, Resulting Numbers: [12, 20, 5] Generated Node #2: [12, 20, 5] from Operation: 7-2=5 Current State: 13:[12, 20, 5], Operations: ['7-2=5'] Exploring Operation: 20-12=8, Resulting Numbers: [5, 8] Generated Node #3: [5, 8] from Operation: 20-12=8 Current State: 13:[5, 8], Operations: ['7-2=5', '20-12=8'] Exploring Operation: 5+8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 17, 80, 49, 61 ]
47
[ "80-17=63", "49+61=110", "110-63=47" ]
Current State: 47:[17, 80, 49, 61], Operations: [] Exploring Operation: 80-17=63, Resulting Numbers: [49, 61, 63] Generated Node #2: [49, 61, 63] from Operation: 80-17=63 Current State: 47:[49, 61, 63], Operations: ['80-17=63'] Exploring Operation: 49+61=110, Resulting Numbers: [63, 110] Generated Node #3: [63, 110] from Operation: 49+61=110 Current State: 47:[63, 110], Operations: ['80-17=63', '49+61=110'] Exploring Operation: 110-63=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 82, 3, 38, 2 ]
25
[ "82-38=44", "44/2=22", "3+22=25" ]
Current State: 25:[82, 3, 38, 2], Operations: [] Exploring Operation: 82-38=44, Resulting Numbers: [3, 2, 44] Generated Node #2: [3, 2, 44] from Operation: 82-38=44 Current State: 25:[3, 2, 44], Operations: ['82-38=44'] Exploring Operation: 44/2=22, Resulting Numbers: [3, 22] Generated Node #3: [3, 22] from Operation: 44/2=22 Current State: 25:[3, 22], Operations: ['82-38=44', '44/2=22'] Exploring Operation: 3+22=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 43, 74, 51, 95 ]
75
[ "74-43=31", "95-51=44", "31+44=75" ]
Current State: 75:[43, 74, 51, 95], Operations: [] Exploring Operation: 74-43=31, Resulting Numbers: [51, 95, 31] Generated Node #2: [51, 95, 31] from Operation: 74-43=31 Current State: 75:[51, 95, 31], Operations: ['74-43=31'] Exploring Operation: 95-51=44, Resulting Numbers: [31, 44] Generated Node #3: [31, 44] from Operation: 95-51=44 Current State: 75:[31, 44], Operations: ['74-43=31', '95-51=44'] Exploring Operation: 31+44=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 86, 36, 90, 48 ]
80
[ "86+36=122", "90-48=42", "122-42=80" ]
Current State: 80:[86, 36, 90, 48], Operations: [] Exploring Operation: 86+36=122, Resulting Numbers: [90, 48, 122] Generated Node #2: [90, 48, 122] from Operation: 86+36=122 Current State: 80:[90, 48, 122], Operations: ['86+36=122'] Exploring Operation: 90-48=42, Resulting Numbers: [122, 42] Generated Node #3: [122, 42] from Operation: 90-48=42 Current State: 80:[122, 42], Operations: ['86+36=122', '90-48=42'] Exploring Operation: 122-42=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 21, 84, 16, 56 ]
45
[ "84*16=1344", "1344/56=24", "21+24=45" ]
Current State: 45:[21, 84, 16, 56], Operations: [] Exploring Operation: 84*16=1344, Resulting Numbers: [21, 56, 1344] Generated Node #2: [21, 56, 1344] from Operation: 84*16=1344 Current State: 45:[21, 56, 1344], Operations: ['84*16=1344'] Exploring Operation: 1344/56=24, Resulting Numbers: [21, 24] Generated Node #3: [21, 24] from Operation: 1344/56=24 Current State: 45:[21, 24], Operations: ['84*16=1344', '1344/56=24'] Exploring Operation: 21+24=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 73, 72, 68, 49 ]
18
[ "73-72=1", "68-49=19", "19-1=18" ]
Current State: 18:[73, 72, 68, 49], Operations: [] Exploring Operation: 73-72=1, Resulting Numbers: [68, 49, 1] Generated Node #2: [68, 49, 1] from Operation: 73-72=1 Current State: 18:[68, 49, 1], Operations: ['73-72=1'] Exploring Operation: 68-49=19, Resulting Numbers: [1, 19] Generated Node #3: [1, 19] from Operation: 68-49=19 Current State: 18:[1, 19], Operations: ['73-72=1', '68-49=19'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 51, 58, 45, 90 ]
80
[ "58*45=2610", "2610/90=29", "51+29=80" ]
Current State: 80:[51, 58, 45, 90], Operations: [] Exploring Operation: 58*45=2610, Resulting Numbers: [51, 90, 2610] Generated Node #2: [51, 90, 2610] from Operation: 58*45=2610 Current State: 80:[51, 90, 2610], Operations: ['58*45=2610'] Exploring Operation: 2610/90=29, Resulting Numbers: [51, 29] Generated Node #3: [51, 29] from Operation: 2610/90=29 Current State: 80:[51, 29], Operations: ['58*45=2610', '2610/90=29'] Exploring Operation: 51+29=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 25, 5, 33, 92 ]
25
[ "25/5=5", "33+92=125", "125/5=25" ]
Current State: 25:[25, 5, 33, 92], Operations: [] Exploring Operation: 25/5=5, Resulting Numbers: [33, 92, 5] Generated Node #2: [33, 92, 5] from Operation: 25/5=5 Current State: 25:[33, 92, 5], Operations: ['25/5=5'] Exploring Operation: 33+92=125, Resulting Numbers: [5, 125] Generated Node #3: [5, 125] from Operation: 33+92=125 Current State: 25:[5, 125], Operations: ['25/5=5', '33+92=125'] Exploring Operation: 125/5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 24, 44, 57, 78 ]
47
[ "24+44=68", "78-57=21", "68-21=47" ]
Current State: 47:[24, 44, 57, 78], Operations: [] Exploring Operation: 24+44=68, Resulting Numbers: [57, 78, 68] Generated Node #2: [57, 78, 68] from Operation: 24+44=68 Current State: 47:[57, 78, 68], Operations: ['24+44=68'] Exploring Operation: 78-57=21, Resulting Numbers: [68, 21] Generated Node #3: [68, 21] from Operation: 78-57=21 Current State: 47:[68, 21], Operations: ['24+44=68', '78-57=21'] Exploring Operation: 68-21=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 52, 63, 99, 33 ]
73
[ "63*33=2079", "2079/99=21", "52+21=73" ]
Current State: 73:[52, 63, 99, 33], Operations: [] Exploring Operation: 63*33=2079, Resulting Numbers: [52, 99, 2079] Generated Node #2: [52, 99, 2079] from Operation: 63*33=2079 Current State: 73:[52, 99, 2079], Operations: ['63*33=2079'] Exploring Operation: 2079/99=21, Resulting Numbers: [52, 21] Generated Node #3: [52, 21] from Operation: 2079/99=21 Current State: 73:[52, 21], Operations: ['63*33=2079', '2079/99=21'] Exploring Operation: 52+21=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 80, 44, 40, 15 ]
11
[ "80-44=36", "40-15=25", "36-25=11" ]
Current State: 11:[80, 44, 40, 15], Operations: [] Exploring Operation: 80-44=36, Resulting Numbers: [40, 15, 36] Generated Node #2: [40, 15, 36] from Operation: 80-44=36 Current State: 11:[40, 15, 36], Operations: ['80-44=36'] Exploring Operation: 40-15=25, Resulting Numbers: [36, 25] Generated Node #3: [36, 25] from Operation: 40-15=25 Current State: 11:[36, 25], Operations: ['80-44=36', '40-15=25'] Exploring Operation: 36-25=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 74, 67, 76, 64 ]
94
[ "74*67=4958", "76*64=4864", "4958-4864=94" ]
Current State: 94:[74, 67, 76, 64], Operations: [] Exploring Operation: 74*67=4958, Resulting Numbers: [76, 64, 4958] Generated Node #2: [76, 64, 4958] from Operation: 74*67=4958 Current State: 94:[76, 64, 4958], Operations: ['74*67=4958'] Exploring Operation: 76*64=4864, Resulting Numbers: [4958, 4864] Generated Node #3: [4958, 4864] from Operation: 76*64=4864 Current State: 94:[4958, 4864], Operations: ['74*67=4958', '76*64=4864'] Exploring Operation: 4958-4864=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 48, 94, 22, 44 ]
76
[ "48+94=142", "22+44=66", "142-66=76" ]
Current State: 76:[48, 94, 22, 44], Operations: [] Exploring Operation: 48+94=142, Resulting Numbers: [22, 44, 142] Generated Node #2: [22, 44, 142] from Operation: 48+94=142 Current State: 76:[22, 44, 142], Operations: ['48+94=142'] Exploring Operation: 22+44=66, Resulting Numbers: [142, 66] Generated Node #3: [142, 66] from Operation: 22+44=66 Current State: 76:[142, 66], Operations: ['48+94=142', '22+44=66'] Exploring Operation: 142-66=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 24, 4, 9, 88 ]
32
[ "24*9=216", "216-88=128", "128/4=32" ]
Current State: 32:[24, 4, 9, 88], Operations: [] Exploring Operation: 24*9=216, Resulting Numbers: [4, 88, 216] Generated Node #2: [4, 88, 216] from Operation: 24*9=216 Current State: 32:[4, 88, 216], Operations: ['24*9=216'] Exploring Operation: 216-88=128, Resulting Numbers: [4, 128] Generated Node #3: [4, 128] from Operation: 216-88=128 Current State: 32:[4, 128], Operations: ['24*9=216', '216-88=128'] Exploring Operation: 128/4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 88, 98, 47, 27 ]
30
[ "98-88=10", "47-27=20", "10+20=30" ]
Current State: 30:[88, 98, 47, 27], Operations: [] Exploring Operation: 98-88=10, Resulting Numbers: [47, 27, 10] Generated Node #2: [47, 27, 10] from Operation: 98-88=10 Current State: 30:[47, 27, 10], Operations: ['98-88=10'] Exploring Operation: 47-27=20, Resulting Numbers: [10, 20] Generated Node #3: [10, 20] from Operation: 47-27=20 Current State: 30:[10, 20], Operations: ['98-88=10', '47-27=20'] Exploring Operation: 10+20=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 55, 21, 40, 8 ]
10
[ "55*8=440", "440/40=11", "21-11=10" ]
Current State: 10:[55, 21, 40, 8], Operations: [] Exploring Operation: 55*8=440, Resulting Numbers: [21, 40, 440] Generated Node #2: [21, 40, 440] from Operation: 55*8=440 Current State: 10:[21, 40, 440], Operations: ['55*8=440'] Exploring Operation: 440/40=11, Resulting Numbers: [21, 11] Generated Node #3: [21, 11] from Operation: 440/40=11 Current State: 10:[21, 11], Operations: ['55*8=440', '440/40=11'] Exploring Operation: 21-11=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 56, 15, 76, 58 ]
63
[ "56+15=71", "76+58=134", "134-71=63" ]
Current State: 63:[56, 15, 76, 58], Operations: [] Exploring Operation: 56+15=71, Resulting Numbers: [76, 58, 71] Generated Node #2: [76, 58, 71] from Operation: 56+15=71 Current State: 63:[76, 58, 71], Operations: ['56+15=71'] Exploring Operation: 76+58=134, Resulting Numbers: [71, 134] Generated Node #3: [71, 134] from Operation: 76+58=134 Current State: 63:[71, 134], Operations: ['56+15=71', '76+58=134'] Exploring Operation: 134-71=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 53, 30, 21, 98 ]
49
[ "53-30=23", "23-21=2", "98/2=49" ]
Current State: 49:[53, 30, 21, 98], Operations: [] Exploring Operation: 53-30=23, Resulting Numbers: [21, 98, 23] Generated Node #2: [21, 98, 23] from Operation: 53-30=23 Current State: 49:[21, 98, 23], Operations: ['53-30=23'] Exploring Operation: 23-21=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 23-21=2 Current State: 49:[98, 2], Operations: ['53-30=23', '23-21=2'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 2, 40, 77, 11 ]
24
[ "2+40=42", "77-11=66", "66-42=24" ]
Current State: 24:[2, 40, 77, 11], Operations: [] Exploring Operation: 2+40=42, Resulting Numbers: [77, 11, 42] Generated Node #2: [77, 11, 42] from Operation: 2+40=42 Current State: 24:[77, 11, 42], Operations: ['2+40=42'] Exploring Operation: 77-11=66, Resulting Numbers: [42, 66] Generated Node #3: [42, 66] from Operation: 77-11=66 Current State: 24:[42, 66], Operations: ['2+40=42', '77-11=66'] Exploring Operation: 66-42=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 57, 18, 35, 77 ]
33
[ "57+18=75", "77-35=42", "75-42=33" ]
Current State: 33:[57, 18, 35, 77], Operations: [] Exploring Operation: 57+18=75, Resulting Numbers: [35, 77, 75] Generated Node #2: [35, 77, 75] from Operation: 57+18=75 Current State: 33:[35, 77, 75], Operations: ['57+18=75'] Exploring Operation: 77-35=42, Resulting Numbers: [75, 42] Generated Node #3: [75, 42] from Operation: 77-35=42 Current State: 33:[75, 42], Operations: ['57+18=75', '77-35=42'] Exploring Operation: 75-42=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 57, 97, 1, 61 ]
93
[ "57+97=154", "1*61=61", "154-61=93" ]
Current State: 93:[57, 97, 1, 61], Operations: [] Exploring Operation: 57+97=154, Resulting Numbers: [1, 61, 154] Generated Node #2: [1, 61, 154] from Operation: 57+97=154 Current State: 93:[1, 61, 154], Operations: ['57+97=154'] Exploring Operation: 1*61=61, Resulting Numbers: [154, 61] Generated Node #3: [154, 61] from Operation: 1*61=61 Current State: 93:[154, 61], Operations: ['57+97=154', '1*61=61'] Exploring Operation: 154-61=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 30, 6, 64, 80 ]
18
[ "30*64=1920", "1920/80=24", "24-6=18" ]
Current State: 18:[30, 6, 64, 80], Operations: [] Exploring Operation: 30*64=1920, Resulting Numbers: [6, 80, 1920] Generated Node #2: [6, 80, 1920] from Operation: 30*64=1920 Current State: 18:[6, 80, 1920], Operations: ['30*64=1920'] Exploring Operation: 1920/80=24, Resulting Numbers: [6, 24] Generated Node #3: [6, 24] from Operation: 1920/80=24 Current State: 18:[6, 24], Operations: ['30*64=1920', '1920/80=24'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 84, 63, 4, 26 ]
68
[ "84/4=21", "63+26=89", "89-21=68" ]
Current State: 68:[84, 63, 4, 26], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [63, 26, 21] Generated Node #2: [63, 26, 21] from Operation: 84/4=21 Current State: 68:[63, 26, 21], Operations: ['84/4=21'] Exploring Operation: 63+26=89, Resulting Numbers: [21, 89] Generated Node #3: [21, 89] from Operation: 63+26=89 Current State: 68:[21, 89], Operations: ['84/4=21', '63+26=89'] Exploring Operation: 89-21=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 84, 28, 60, 95 ]
99
[ "84-28=56", "60+95=155", "155-56=99" ]
Current State: 99:[84, 28, 60, 95], Operations: [] Exploring Operation: 84-28=56, Resulting Numbers: [60, 95, 56] Generated Node #2: [60, 95, 56] from Operation: 84-28=56 Current State: 99:[60, 95, 56], Operations: ['84-28=56'] Exploring Operation: 60+95=155, Resulting Numbers: [56, 155] Generated Node #3: [56, 155] from Operation: 60+95=155 Current State: 99:[56, 155], Operations: ['84-28=56', '60+95=155'] Exploring Operation: 155-56=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 38, 78, 2, 57 ]
40
[ "38/2=19", "78-57=21", "19+21=40" ]
Current State: 40:[38, 78, 2, 57], Operations: [] Exploring Operation: 38/2=19, Resulting Numbers: [78, 57, 19] Generated Node #2: [78, 57, 19] from Operation: 38/2=19 Current State: 40:[78, 57, 19], Operations: ['38/2=19'] Exploring Operation: 78-57=21, Resulting Numbers: [19, 21] Generated Node #3: [19, 21] from Operation: 78-57=21 Current State: 40:[19, 21], Operations: ['38/2=19', '78-57=21'] Exploring Operation: 19+21=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 6, 9, 6, 4 ]
96
[ "6+4=10", "9*10=90", "6+90=96" ]
Current State: 96:[6, 9, 6, 4], Operations: [] Exploring Operation: 6+4=10, Resulting Numbers: [9, 10] Generated Node #2: [9, 10] from Operation: 6+4=10 Current State: 96:[9, 10], Operations: ['6+4=10'] Exploring Operation: 9*10=90, Resulting Numbers: [90] 90,96 equal: Goal Reached Exploring Operation: 6+90=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 9, 60, 46, 30 ]
35
[ "60-9=51", "46-30=16", "51-16=35" ]
Current State: 35:[9, 60, 46, 30], Operations: [] Exploring Operation: 60-9=51, Resulting Numbers: [46, 30, 51] Generated Node #2: [46, 30, 51] from Operation: 60-9=51 Current State: 35:[46, 30, 51], Operations: ['60-9=51'] Exploring Operation: 46-30=16, Resulting Numbers: [51, 16] Generated Node #3: [51, 16] from Operation: 46-30=16 Current State: 35:[51, 16], Operations: ['60-9=51', '46-30=16'] Exploring Operation: 51-16=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 3, 61, 63, 60 ]
100
[ "63/3=21", "61+60=121", "121-21=100" ]
Current State: 100:[3, 61, 63, 60], Operations: [] Exploring Operation: 63/3=21, Resulting Numbers: [61, 60, 21] Generated Node #2: [61, 60, 21] from Operation: 63/3=21 Current State: 100:[61, 60, 21], Operations: ['63/3=21'] Exploring Operation: 61+60=121, Resulting Numbers: [21, 121] Generated Node #3: [21, 121] from Operation: 61+60=121 Current State: 100:[21, 121], Operations: ['63/3=21', '61+60=121'] Exploring Operation: 121-21=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 15, 34, 10, 13 ]
99
[ "15-10=5", "13*5=65", "34+65=99" ]
Current State: 99:[15, 34, 10, 13], Operations: [] Exploring Operation: 15-10=5, Resulting Numbers: [34, 13, 5] Generated Node #2: [34, 13, 5] from Operation: 15-10=5 Current State: 99:[34, 13, 5], Operations: ['15-10=5'] Exploring Operation: 13*5=65, Resulting Numbers: [34, 65] Generated Node #3: [34, 65] from Operation: 13*5=65 Current State: 99:[34, 65], Operations: ['15-10=5', '13*5=65'] Exploring Operation: 34+65=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 87, 51, 18, 48 ]
81
[ "51-48=3", "18/3=6", "87-6=81" ]
Current State: 81:[87, 51, 18, 48], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [87, 18, 3] Generated Node #2: [87, 18, 3] from Operation: 51-48=3 Current State: 81:[87, 18, 3], Operations: ['51-48=3'] Exploring Operation: 18/3=6, Resulting Numbers: [87, 6] Generated Node #3: [87, 6] from Operation: 18/3=6 Current State: 81:[87, 6], Operations: ['51-48=3', '18/3=6'] Exploring Operation: 87-6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 56, 95, 76, 5 ]
91
[ "76-56=20", "20/5=4", "95-4=91" ]
Current State: 91:[56, 95, 76, 5], Operations: [] Exploring Operation: 76-56=20, Resulting Numbers: [95, 5, 20] Generated Node #2: [95, 5, 20] from Operation: 76-56=20 Current State: 91:[95, 5, 20], Operations: ['76-56=20'] Exploring Operation: 20/5=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 20/5=4 Current State: 91:[95, 4], Operations: ['76-56=20', '20/5=4'] Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 98, 47, 61, 36 ]
46
[ "98-47=51", "61+36=97", "97-51=46" ]
Current State: 46:[98, 47, 61, 36], Operations: [] Exploring Operation: 98-47=51, Resulting Numbers: [61, 36, 51] Generated Node #2: [61, 36, 51] from Operation: 98-47=51 Current State: 46:[61, 36, 51], Operations: ['98-47=51'] Exploring Operation: 61+36=97, Resulting Numbers: [51, 97] Generated Node #3: [51, 97] from Operation: 61+36=97 Current State: 46:[51, 97], Operations: ['98-47=51', '61+36=97'] Exploring Operation: 97-51=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 41, 59, 13, 90 ]
59
[ "59-41=18", "90-13=77", "77-18=59" ]
Current State: 59:[41, 59, 13, 90], Operations: [] Exploring Operation: 59-41=18, Resulting Numbers: [13, 90, 18] Generated Node #2: [13, 90, 18] from Operation: 59-41=18 Current State: 59:[13, 90, 18], Operations: ['59-41=18'] Exploring Operation: 90-13=77, Resulting Numbers: [18, 77] Generated Node #3: [18, 77] from Operation: 90-13=77 Current State: 59:[18, 77], Operations: ['59-41=18', '90-13=77'] Exploring Operation: 77-18=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 61, 30, 63, 69 ]
37
[ "61-30=31", "69-63=6", "31+6=37" ]
Current State: 37:[61, 30, 63, 69], Operations: [] Exploring Operation: 61-30=31, Resulting Numbers: [63, 69, 31] Generated Node #2: [63, 69, 31] from Operation: 61-30=31 Current State: 37:[63, 69, 31], Operations: ['61-30=31'] Exploring Operation: 69-63=6, Resulting Numbers: [31, 6] Generated Node #3: [31, 6] from Operation: 69-63=6 Current State: 37:[31, 6], Operations: ['61-30=31', '69-63=6'] Exploring Operation: 31+6=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 59, 61, 7, 66 ]
57
[ "61-59=2", "66-7=59", "59-2=57" ]
Current State: 57:[59, 61, 7, 66], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [7, 66, 2] Generated Node #2: [7, 66, 2] from Operation: 61-59=2 Current State: 57:[7, 66, 2], Operations: ['61-59=2'] Exploring Operation: 66-7=59, Resulting Numbers: [2, 59] Generated Node #3: [2, 59] from Operation: 66-7=59 Current State: 57:[2, 59], Operations: ['61-59=2', '66-7=59'] Exploring Operation: 59-2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 19, 75, 80, 16 ]
15
[ "19-16=3", "80-75=5", "3*5=15" ]
Current State: 15:[19, 75, 80, 16], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [75, 80, 3] Generated Node #2: [75, 80, 3] from Operation: 19-16=3 Current State: 15:[75, 80, 3], Operations: ['19-16=3'] Exploring Operation: 80-75=5, Resulting Numbers: [3, 5] Generated Node #3: [3, 5] from Operation: 80-75=5 Current State: 15:[3, 5], Operations: ['19-16=3', '80-75=5'] Exploring Operation: 3*5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 96, 68, 20, 3 ]
32
[ "96-68=28", "20*3=60", "60-28=32" ]
Current State: 32:[96, 68, 20, 3], Operations: [] Exploring Operation: 96-68=28, Resulting Numbers: [20, 3, 28] Generated Node #2: [20, 3, 28] from Operation: 96-68=28 Current State: 32:[20, 3, 28], Operations: ['96-68=28'] Exploring Operation: 20*3=60, Resulting Numbers: [28, 60] Generated Node #3: [28, 60] from Operation: 20*3=60 Current State: 32:[28, 60], Operations: ['96-68=28', '20*3=60'] Exploring Operation: 60-28=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 6, 14, 1, 35 ]
16
[ "6+14=20", "1+35=36", "36-20=16" ]
Current State: 16:[6, 14, 1, 35], Operations: [] Exploring Operation: 6+14=20, Resulting Numbers: [1, 35, 20] Generated Node #2: [1, 35, 20] from Operation: 6+14=20 Current State: 16:[1, 35, 20], Operations: ['6+14=20'] Exploring Operation: 1+35=36, Resulting Numbers: [20, 36] Generated Node #3: [20, 36] from Operation: 1+35=36 Current State: 16:[20, 36], Operations: ['6+14=20', '1+35=36'] Exploring Operation: 36-20=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 56, 52, 29, 60 ]
85
[ "56-52=4", "29+60=89", "89-4=85" ]
Current State: 85:[56, 52, 29, 60], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [29, 60, 4] Generated Node #2: [29, 60, 4] from Operation: 56-52=4 Current State: 85:[29, 60, 4], Operations: ['56-52=4'] Exploring Operation: 29+60=89, Resulting Numbers: [4, 89] Generated Node #3: [4, 89] from Operation: 29+60=89 Current State: 85:[4, 89], Operations: ['56-52=4', '29+60=89'] Exploring Operation: 89-4=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 18, 9, 9, 24 ]
66
[ "18/9=2", "9+24=33", "2*33=66" ]
Current State: 66:[18, 9, 9, 24], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [24, 2] Generated Node #2: [24, 2] from Operation: 18/9=2 Current State: 66:[24, 2], Operations: ['18/9=2'] Exploring Operation: 9+24=33, Resulting Numbers: [2, 33] Generated Node #3: [2, 33] from Operation: 9+24=33 Current State: 66:[2, 33], Operations: ['18/9=2', '9+24=33'] Exploring Operation: 2*33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 67, 79, 98, 10 ]
11
[ "79-67=12", "98+12=110", "110/10=11" ]
Current State: 11:[67, 79, 98, 10], Operations: [] Exploring Operation: 79-67=12, Resulting Numbers: [98, 10, 12] Generated Node #2: [98, 10, 12] from Operation: 79-67=12 Current State: 11:[98, 10, 12], Operations: ['79-67=12'] Exploring Operation: 98+12=110, Resulting Numbers: [10, 110] Generated Node #3: [10, 110] from Operation: 98+12=110 Current State: 11:[10, 110], Operations: ['79-67=12', '98+12=110'] Exploring Operation: 110/10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 84, 50, 95, 80 ]
68
[ "95*80=7600", "7600/50=152", "152-84=68" ]
Current State: 68:[84, 50, 95, 80], Operations: [] Exploring Operation: 95*80=7600, Resulting Numbers: [84, 50, 7600] Generated Node #2: [84, 50, 7600] from Operation: 95*80=7600 Current State: 68:[84, 50, 7600], Operations: ['95*80=7600'] Exploring Operation: 7600/50=152, Resulting Numbers: [84, 152] Generated Node #3: [84, 152] from Operation: 7600/50=152 Current State: 68:[84, 152], Operations: ['95*80=7600', '7600/50=152'] Exploring Operation: 152-84=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 89, 48, 65, 2 ]
72
[ "89-65=24", "48*2=96", "96-24=72" ]
Current State: 72:[89, 48, 65, 2], Operations: [] Exploring Operation: 89-65=24, Resulting Numbers: [48, 2, 24] Generated Node #2: [48, 2, 24] from Operation: 89-65=24 Current State: 72:[48, 2, 24], Operations: ['89-65=24'] Exploring Operation: 48*2=96, Resulting Numbers: [24, 96] Generated Node #3: [24, 96] from Operation: 48*2=96 Current State: 72:[24, 96], Operations: ['89-65=24', '48*2=96'] Exploring Operation: 96-24=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 65, 28, 27, 56 ]
65
[ "28+27=55", "56-55=1", "65*1=65" ]
Current State: 65:[65, 28, 27, 56], Operations: [] Exploring Operation: 28+27=55, Resulting Numbers: [65, 56, 55] Generated Node #2: [65, 56, 55] from Operation: 28+27=55 Current State: 65:[65, 56, 55], Operations: ['28+27=55'] Exploring Operation: 56-55=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 56-55=1 Current State: 65:[65, 1], Operations: ['28+27=55', '56-55=1'] Exploring Operation: 65*1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 97, 67, 99, 27 ]
20
[ "99-97=2", "67-27=40", "40/2=20" ]
Current State: 20:[97, 67, 99, 27], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [67, 27, 2] Generated Node #2: [67, 27, 2] from Operation: 99-97=2 Current State: 20:[67, 27, 2], Operations: ['99-97=2'] Exploring Operation: 67-27=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 67-27=40 Current State: 20:[2, 40], Operations: ['99-97=2', '67-27=40'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 38, 18, 69, 32 ]
26
[ "38*32=1216", "18*69=1242", "1242-1216=26" ]
Current State: 26:[38, 18, 69, 32], Operations: [] Exploring Operation: 38*32=1216, Resulting Numbers: [18, 69, 1216] Generated Node #2: [18, 69, 1216] from Operation: 38*32=1216 Current State: 26:[18, 69, 1216], Operations: ['38*32=1216'] Exploring Operation: 18*69=1242, Resulting Numbers: [1216, 1242] Generated Node #3: [1216, 1242] from Operation: 18*69=1242 Current State: 26:[1216, 1242], Operations: ['38*32=1216', '18*69=1242'] Exploring Operation: 1242-1216=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 12, 93, 30, 70 ]
82
[ "30*70=2100", "2100/12=175", "175-93=82" ]
Current State: 82:[12, 93, 30, 70], Operations: [] Exploring Operation: 30*70=2100, Resulting Numbers: [12, 93, 2100] Generated Node #2: [12, 93, 2100] from Operation: 30*70=2100 Current State: 82:[12, 93, 2100], Operations: ['30*70=2100'] Exploring Operation: 2100/12=175, Resulting Numbers: [93, 175] Generated Node #3: [93, 175] from Operation: 2100/12=175 Current State: 82:[93, 175], Operations: ['30*70=2100', '2100/12=175'] Exploring Operation: 175-93=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 92, 46, 97, 48 ]
95
[ "92-46=46", "97-48=49", "46+49=95" ]
Current State: 95:[92, 46, 97, 48], Operations: [] Exploring Operation: 92-46=46, Resulting Numbers: [97, 48, 46] Generated Node #2: [97, 48, 46] from Operation: 92-46=46 Current State: 95:[97, 48, 46], Operations: ['92-46=46'] Exploring Operation: 97-48=49, Resulting Numbers: [46, 49] Generated Node #3: [46, 49] from Operation: 97-48=49 Current State: 95:[46, 49], Operations: ['92-46=46', '97-48=49'] Exploring Operation: 46+49=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 28, 14, 33, 67 ]
86
[ "28-14=14", "33+67=100", "100-14=86" ]
Current State: 86:[28, 14, 33, 67], Operations: [] Exploring Operation: 28-14=14, Resulting Numbers: [33, 67, 14] Generated Node #2: [33, 67, 14] from Operation: 28-14=14 Current State: 86:[33, 67, 14], Operations: ['28-14=14'] Exploring Operation: 33+67=100, Resulting Numbers: [14, 100] Generated Node #3: [14, 100] from Operation: 33+67=100 Current State: 86:[14, 100], Operations: ['28-14=14', '33+67=100'] Exploring Operation: 100-14=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 7, 14, 89, 91 ]
88
[ "91/7=13", "89-14=75", "13+75=88" ]
Current State: 88:[7, 14, 89, 91], Operations: [] Exploring Operation: 91/7=13, Resulting Numbers: [14, 89, 13] Generated Node #2: [14, 89, 13] from Operation: 91/7=13 Current State: 88:[14, 89, 13], Operations: ['91/7=13'] Exploring Operation: 89-14=75, Resulting Numbers: [13, 75] Generated Node #3: [13, 75] from Operation: 89-14=75 Current State: 88:[13, 75], Operations: ['91/7=13', '89-14=75'] Exploring Operation: 13+75=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 58, 74, 9, 5 ]
99
[ "74-58=16", "16-5=11", "9*11=99" ]
Current State: 99:[58, 74, 9, 5], Operations: [] Exploring Operation: 74-58=16, Resulting Numbers: [9, 5, 16] Generated Node #2: [9, 5, 16] from Operation: 74-58=16 Current State: 99:[9, 5, 16], Operations: ['74-58=16'] Exploring Operation: 16-5=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 16-5=11 Current State: 99:[9, 11], Operations: ['74-58=16', '16-5=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 56, 4, 1, 93 ]
42
[ "56-4=52", "1+93=94", "94-52=42" ]
Current State: 42:[56, 4, 1, 93], Operations: [] Exploring Operation: 56-4=52, Resulting Numbers: [1, 93, 52] Generated Node #2: [1, 93, 52] from Operation: 56-4=52 Current State: 42:[1, 93, 52], Operations: ['56-4=52'] Exploring Operation: 1+93=94, Resulting Numbers: [52, 94] Generated Node #3: [52, 94] from Operation: 1+93=94 Current State: 42:[52, 94], Operations: ['56-4=52', '1+93=94'] Exploring Operation: 94-52=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 18, 2, 40, 82 ]
86
[ "18*2=36", "40+82=122", "122-36=86" ]
Current State: 86:[18, 2, 40, 82], Operations: [] Exploring Operation: 18*2=36, Resulting Numbers: [40, 82, 36] Generated Node #2: [40, 82, 36] from Operation: 18*2=36 Current State: 86:[40, 82, 36], Operations: ['18*2=36'] Exploring Operation: 40+82=122, Resulting Numbers: [36, 122] Generated Node #3: [36, 122] from Operation: 40+82=122 Current State: 86:[36, 122], Operations: ['18*2=36', '40+82=122'] Exploring Operation: 122-36=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 15, 35, 27, 51 ]
58
[ "35-15=20", "27+51=78", "78-20=58" ]
Current State: 58:[15, 35, 27, 51], Operations: [] Exploring Operation: 35-15=20, Resulting Numbers: [27, 51, 20] Generated Node #2: [27, 51, 20] from Operation: 35-15=20 Current State: 58:[27, 51, 20], Operations: ['35-15=20'] Exploring Operation: 27+51=78, Resulting Numbers: [20, 78] Generated Node #3: [20, 78] from Operation: 27+51=78 Current State: 58:[20, 78], Operations: ['35-15=20', '27+51=78'] Exploring Operation: 78-20=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 76, 75, 25, 75 ]
51
[ "76+75=151", "25+75=100", "151-100=51" ]
Current State: 51:[76, 75, 25, 75], Operations: [] Exploring Operation: 76+75=151, Resulting Numbers: [25, 151] Generated Node #2: [25, 151] from Operation: 76+75=151 Current State: 51:[25, 151], Operations: ['76+75=151'] Exploring Operation: 25+75=100, Resulting Numbers: [151, 100] Generated Node #3: [151, 100] from Operation: 25+75=100 Current State: 51:[151, 100], Operations: ['76+75=151', '25+75=100'] Exploring Operation: 151-100=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 22, 85, 37, 11 ]
96
[ "22/11=2", "85-37=48", "2*48=96" ]
Current State: 96:[22, 85, 37, 11], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [85, 37, 2] Generated Node #2: [85, 37, 2] from Operation: 22/11=2 Current State: 96:[85, 37, 2], Operations: ['22/11=2'] Exploring Operation: 85-37=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 85-37=48 Current State: 96:[2, 48], Operations: ['22/11=2', '85-37=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 11, 89, 17, 18 ]
92
[ "17-11=6", "18/6=3", "89+3=92" ]
Current State: 92:[11, 89, 17, 18], Operations: [] Exploring Operation: 17-11=6, Resulting Numbers: [89, 18, 6] Generated Node #2: [89, 18, 6] from Operation: 17-11=6 Current State: 92:[89, 18, 6], Operations: ['17-11=6'] Exploring Operation: 18/6=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 18/6=3 Current State: 92:[89, 3], Operations: ['17-11=6', '18/6=3'] Exploring Operation: 89+3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 78, 70, 22, 2 ]
26
[ "78-70=8", "8/2=4", "22+4=26" ]
Current State: 26:[78, 70, 22, 2], Operations: [] Exploring Operation: 78-70=8, Resulting Numbers: [22, 2, 8] Generated Node #2: [22, 2, 8] from Operation: 78-70=8 Current State: 26:[22, 2, 8], Operations: ['78-70=8'] Exploring Operation: 8/2=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 8/2=4 Current State: 26:[22, 4], Operations: ['78-70=8', '8/2=4'] Exploring Operation: 22+4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 90, 27, 24, 83 ]
44
[ "90-27=63", "24+83=107", "107-63=44" ]
Current State: 44:[90, 27, 24, 83], Operations: [] Exploring Operation: 90-27=63, Resulting Numbers: [24, 83, 63] Generated Node #2: [24, 83, 63] from Operation: 90-27=63 Current State: 44:[24, 83, 63], Operations: ['90-27=63'] Exploring Operation: 24+83=107, Resulting Numbers: [63, 107] Generated Node #3: [63, 107] from Operation: 24+83=107 Current State: 44:[63, 107], Operations: ['90-27=63', '24+83=107'] Exploring Operation: 107-63=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 43, 61, 61, 16 ]
26
[ "43-16=27", "61/61=1", "27-1=26" ]
Current State: 26:[43, 61, 61, 16], Operations: [] Exploring Operation: 43-16=27, Resulting Numbers: [61, 61, 27] Generated Node #2: [61, 61, 27] from Operation: 43-16=27 Current State: 26:[61, 61, 27], Operations: ['43-16=27'] Exploring Operation: 61/61=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 61/61=1 Current State: 26:[27, 1], Operations: ['43-16=27', '61/61=1'] Exploring Operation: 27-1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 69, 29, 6, 11 ]
35
[ "69-29=40", "11-6=5", "40-5=35" ]
Current State: 35:[69, 29, 6, 11], Operations: [] Exploring Operation: 69-29=40, Resulting Numbers: [6, 11, 40] Generated Node #2: [6, 11, 40] from Operation: 69-29=40 Current State: 35:[6, 11, 40], Operations: ['69-29=40'] Exploring Operation: 11-6=5, Resulting Numbers: [40, 5] Generated Node #3: [40, 5] from Operation: 11-6=5 Current State: 35:[40, 5], Operations: ['69-29=40', '11-6=5'] Exploring Operation: 40-5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 46, 96, 4, 62 ]
10
[ "62-46=16", "96/16=6", "4+6=10" ]
Current State: 10:[46, 96, 4, 62], Operations: [] Exploring Operation: 62-46=16, Resulting Numbers: [96, 4, 16] Generated Node #2: [96, 4, 16] from Operation: 62-46=16 Current State: 10:[96, 4, 16], Operations: ['62-46=16'] Exploring Operation: 96/16=6, Resulting Numbers: [4, 6] Generated Node #3: [4, 6] from Operation: 96/16=6 Current State: 10:[4, 6], Operations: ['62-46=16', '96/16=6'] Exploring Operation: 4+6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 44, 89, 54, 5 ]
63
[ "89-44=45", "45/5=9", "54+9=63" ]
Current State: 63:[44, 89, 54, 5], Operations: [] Exploring Operation: 89-44=45, Resulting Numbers: [54, 5, 45] Generated Node #2: [54, 5, 45] from Operation: 89-44=45 Current State: 63:[54, 5, 45], Operations: ['89-44=45'] Exploring Operation: 45/5=9, Resulting Numbers: [54, 9] Generated Node #3: [54, 9] from Operation: 45/5=9 Current State: 63:[54, 9], Operations: ['89-44=45', '45/5=9'] Exploring Operation: 54+9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 55, 5, 3, 8 ]
74
[ "55-5=50", "3*8=24", "50+24=74" ]
Current State: 74:[55, 5, 3, 8], Operations: [] Exploring Operation: 55-5=50, Resulting Numbers: [3, 8, 50] Generated Node #2: [3, 8, 50] from Operation: 55-5=50 Current State: 74:[3, 8, 50], Operations: ['55-5=50'] Exploring Operation: 3*8=24, Resulting Numbers: [50, 24] Generated Node #3: [50, 24] from Operation: 3*8=24 Current State: 74:[50, 24], Operations: ['55-5=50', '3*8=24'] Exploring Operation: 50+24=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 5, 70, 51, 52 ]
66
[ "70-5=65", "52-51=1", "65+1=66" ]
Current State: 66:[5, 70, 51, 52], Operations: [] Exploring Operation: 70-5=65, Resulting Numbers: [51, 52, 65] Generated Node #2: [51, 52, 65] from Operation: 70-5=65 Current State: 66:[51, 52, 65], Operations: ['70-5=65'] Exploring Operation: 52-51=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 52-51=1 Current State: 66:[65, 1], Operations: ['70-5=65', '52-51=1'] Exploring Operation: 65+1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 28, 63, 66, 60 ]
50
[ "63-60=3", "66/3=22", "28+22=50" ]
Current State: 50:[28, 63, 66, 60], Operations: [] Exploring Operation: 63-60=3, Resulting Numbers: [28, 66, 3] Generated Node #2: [28, 66, 3] from Operation: 63-60=3 Current State: 50:[28, 66, 3], Operations: ['63-60=3'] Exploring Operation: 66/3=22, Resulting Numbers: [28, 22] Generated Node #3: [28, 22] from Operation: 66/3=22 Current State: 50:[28, 22], Operations: ['63-60=3', '66/3=22'] Exploring Operation: 28+22=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 54, 49, 90, 40 ]
10
[ "54-49=5", "90-40=50", "50/5=10" ]
Current State: 10:[54, 49, 90, 40], Operations: [] Exploring Operation: 54-49=5, Resulting Numbers: [90, 40, 5] Generated Node #2: [90, 40, 5] from Operation: 54-49=5 Current State: 10:[90, 40, 5], Operations: ['54-49=5'] Exploring Operation: 90-40=50, Resulting Numbers: [5, 50] Generated Node #3: [5, 50] from Operation: 90-40=50 Current State: 10:[5, 50], Operations: ['54-49=5', '90-40=50'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 82, 9, 7, 23 ]
10
[ "82+9=91", "91/7=13", "23-13=10" ]
Current State: 10:[82, 9, 7, 23], Operations: [] Exploring Operation: 82+9=91, Resulting Numbers: [7, 23, 91] Generated Node #2: [7, 23, 91] from Operation: 82+9=91 Current State: 10:[7, 23, 91], Operations: ['82+9=91'] Exploring Operation: 91/7=13, Resulting Numbers: [23, 13] Generated Node #3: [23, 13] from Operation: 91/7=13 Current State: 10:[23, 13], Operations: ['82+9=91', '91/7=13'] Exploring Operation: 23-13=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 42, 51, 24, 9 ]
78
[ "42+51=93", "24-9=15", "93-15=78" ]
Current State: 78:[42, 51, 24, 9], Operations: [] Exploring Operation: 42+51=93, Resulting Numbers: [24, 9, 93] Generated Node #2: [24, 9, 93] from Operation: 42+51=93 Current State: 78:[24, 9, 93], Operations: ['42+51=93'] Exploring Operation: 24-9=15, Resulting Numbers: [93, 15] Generated Node #3: [93, 15] from Operation: 24-9=15 Current State: 78:[93, 15], Operations: ['42+51=93', '24-9=15'] Exploring Operation: 93-15=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 51, 84, 50, 5 ]
78
[ "84-51=33", "50-5=45", "33+45=78" ]
Current State: 78:[51, 84, 50, 5], Operations: [] Exploring Operation: 84-51=33, Resulting Numbers: [50, 5, 33] Generated Node #2: [50, 5, 33] from Operation: 84-51=33 Current State: 78:[50, 5, 33], Operations: ['84-51=33'] Exploring Operation: 50-5=45, Resulting Numbers: [33, 45] Generated Node #3: [33, 45] from Operation: 50-5=45 Current State: 78:[33, 45], Operations: ['84-51=33', '50-5=45'] Exploring Operation: 33+45=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 5, 45, 30, 6 ]
70
[ "5*30=150", "150/6=25", "45+25=70" ]
Current State: 70:[5, 45, 30, 6], Operations: [] Exploring Operation: 5*30=150, Resulting Numbers: [45, 6, 150] Generated Node #2: [45, 6, 150] from Operation: 5*30=150 Current State: 70:[45, 6, 150], Operations: ['5*30=150'] Exploring Operation: 150/6=25, Resulting Numbers: [45, 25] Generated Node #3: [45, 25] from Operation: 150/6=25 Current State: 70:[45, 25], Operations: ['5*30=150', '150/6=25'] Exploring Operation: 45+25=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 1, 28, 15, 25 ]
37
[ "28-1=27", "25-15=10", "27+10=37" ]
Current State: 37:[1, 28, 15, 25], Operations: [] Exploring Operation: 28-1=27, Resulting Numbers: [15, 25, 27] Generated Node #2: [15, 25, 27] from Operation: 28-1=27 Current State: 37:[15, 25, 27], Operations: ['28-1=27'] Exploring Operation: 25-15=10, Resulting Numbers: [27, 10] Generated Node #3: [27, 10] from Operation: 25-15=10 Current State: 37:[27, 10], Operations: ['28-1=27', '25-15=10'] Exploring Operation: 27+10=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 21, 2, 2, 96 ]
70
[ "2+96=98", "98/2=49", "21+49=70" ]
Current State: 70:[21, 2, 2, 96], Operations: [] Exploring Operation: 2+96=98, Resulting Numbers: [21, 98] Generated Node #2: [21, 98] from Operation: 2+96=98 Current State: 70:[21, 98], Operations: ['2+96=98'] Exploring Operation: 98/2=49, Resulting Numbers: [21, 49] Generated Node #3: [21, 49] from Operation: 98/2=49 Current State: 70:[21, 49], Operations: ['2+96=98', '98/2=49'] Exploring Operation: 21+49=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 46, 40, 28, 39 ]
19
[ "46+40=86", "28+39=67", "86-67=19" ]
Current State: 19:[46, 40, 28, 39], Operations: [] Exploring Operation: 46+40=86, Resulting Numbers: [28, 39, 86] Generated Node #2: [28, 39, 86] from Operation: 46+40=86 Current State: 19:[28, 39, 86], Operations: ['46+40=86'] Exploring Operation: 28+39=67, Resulting Numbers: [86, 67] Generated Node #3: [86, 67] from Operation: 28+39=67 Current State: 19:[86, 67], Operations: ['46+40=86', '28+39=67'] Exploring Operation: 86-67=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 76, 55, 49, 3 ]
46
[ "76-49=27", "27/3=9", "55-9=46" ]
Current State: 46:[76, 55, 49, 3], Operations: [] Exploring Operation: 76-49=27, Resulting Numbers: [55, 3, 27] Generated Node #2: [55, 3, 27] from Operation: 76-49=27 Current State: 46:[55, 3, 27], Operations: ['76-49=27'] Exploring Operation: 27/3=9, Resulting Numbers: [55, 9] Generated Node #3: [55, 9] from Operation: 27/3=9 Current State: 46:[55, 9], Operations: ['76-49=27', '27/3=9'] Exploring Operation: 55-9=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 27, 21, 91, 75 ]
89
[ "75-21=54", "54/27=2", "91-2=89" ]
Current State: 89:[27, 21, 91, 75], Operations: [] Exploring Operation: 75-21=54, Resulting Numbers: [27, 91, 54] Generated Node #2: [27, 91, 54] from Operation: 75-21=54 Current State: 89:[27, 91, 54], Operations: ['75-21=54'] Exploring Operation: 54/27=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 54/27=2 Current State: 89:[91, 2], Operations: ['75-21=54', '54/27=2'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 66, 17, 10, 27 ]
34
[ "27-17=10", "10*10=100", "100-66=34" ]
Current State: 34:[66, 17, 10, 27], Operations: [] Exploring Operation: 27-17=10, Resulting Numbers: [66, 10, 10] Generated Node #2: [66, 10, 10] from Operation: 27-17=10 Current State: 34:[66, 10, 10], Operations: ['27-17=10'] Exploring Operation: 10*10=100, Resulting Numbers: [66, 100] Generated Node #3: [66, 100] from Operation: 10*10=100 Current State: 34:[66, 100], Operations: ['27-17=10', '10*10=100'] Exploring Operation: 100-66=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 70, 80, 80, 11 ]
70
[ "80-80=0", "11*0=0", "70+0=70" ]
Current State: 70:[70, 80, 80, 11], Operations: [] Exploring Operation: 80-80=0, Resulting Numbers: [70, 11, 0] Generated Node #2: [70, 11, 0] from Operation: 80-80=0 Current State: 70:[70, 11, 0], Operations: ['80-80=0'] Exploring Operation: 11*0=0, Resulting Numbers: [70, 0] Generated Node #3: [70, 0] from Operation: 11*0=0 Current State: 70:[70, 0], Operations: ['80-80=0', '11*0=0'] Exploring Operation: 70+0=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 50, 81, 86, 91 ]
91
[ "91-81=10", "50/10=5", "86+5=91" ]
Current State: 91:[50, 81, 86, 91], Operations: [] Exploring Operation: 91-81=10, Resulting Numbers: [50, 86, 10] Generated Node #2: [50, 86, 10] from Operation: 91-81=10 Current State: 91:[50, 86, 10], Operations: ['91-81=10'] Exploring Operation: 50/10=5, Resulting Numbers: [86, 5] Generated Node #3: [86, 5] from Operation: 50/10=5 Current State: 91:[86, 5], Operations: ['91-81=10', '50/10=5'] Exploring Operation: 86+5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 53, 22, 28, 20 ]
39
[ "53-22=31", "28-20=8", "31+8=39" ]
Current State: 39:[53, 22, 28, 20], Operations: [] Exploring Operation: 53-22=31, Resulting Numbers: [28, 20, 31] Generated Node #2: [28, 20, 31] from Operation: 53-22=31 Current State: 39:[28, 20, 31], Operations: ['53-22=31'] Exploring Operation: 28-20=8, Resulting Numbers: [31, 8] Generated Node #3: [31, 8] from Operation: 28-20=8 Current State: 39:[31, 8], Operations: ['53-22=31', '28-20=8'] Exploring Operation: 31+8=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 8, 5, 28, 7 ]
25
[ "8+7=15", "15/5=3", "28-3=25" ]
Current State: 25:[8, 5, 28, 7], Operations: [] Exploring Operation: 8+7=15, Resulting Numbers: [5, 28, 15] Generated Node #2: [5, 28, 15] from Operation: 8+7=15 Current State: 25:[5, 28, 15], Operations: ['8+7=15'] Exploring Operation: 15/5=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 15/5=3 Current State: 25:[28, 3], Operations: ['8+7=15', '15/5=3'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 21, 1, 56, 58 ]
19
[ "21*1=21", "58-56=2", "21-2=19" ]
Current State: 19:[21, 1, 56, 58], Operations: [] Exploring Operation: 21*1=21, Resulting Numbers: [56, 58, 21] Generated Node #2: [56, 58, 21] from Operation: 21*1=21 Current State: 19:[56, 58, 21], Operations: ['21*1=21'] Exploring Operation: 58-56=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 58-56=2 Current State: 19:[21, 2], Operations: ['21*1=21', '58-56=2'] Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 64, 72, 2, 58 ]
63
[ "58-2=56", "72*56=4032", "4032/64=63" ]
Current State: 63:[64, 72, 2, 58], Operations: [] Exploring Operation: 58-2=56, Resulting Numbers: [64, 72, 56] Generated Node #2: [64, 72, 56] from Operation: 58-2=56 Current State: 63:[64, 72, 56], Operations: ['58-2=56'] Exploring Operation: 72*56=4032, Resulting Numbers: [64, 4032] Generated Node #3: [64, 4032] from Operation: 72*56=4032 Current State: 63:[64, 4032], Operations: ['58-2=56', '72*56=4032'] Exploring Operation: 4032/64=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 6, 40, 88, 80 ]
54
[ "6+40=46", "88-80=8", "46+8=54" ]
Current State: 54:[6, 40, 88, 80], Operations: [] Exploring Operation: 6+40=46, Resulting Numbers: [88, 80, 46] Generated Node #2: [88, 80, 46] from Operation: 6+40=46 Current State: 54:[88, 80, 46], Operations: ['6+40=46'] Exploring Operation: 88-80=8, Resulting Numbers: [46, 8] Generated Node #3: [46, 8] from Operation: 88-80=8 Current State: 54:[46, 8], Operations: ['6+40=46', '88-80=8'] Exploring Operation: 46+8=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 50, 82, 77, 81 ]
85
[ "77-50=27", "81/27=3", "82+3=85" ]
Current State: 85:[50, 82, 77, 81], Operations: [] Exploring Operation: 77-50=27, Resulting Numbers: [82, 81, 27] Generated Node #2: [82, 81, 27] from Operation: 77-50=27 Current State: 85:[82, 81, 27], Operations: ['77-50=27'] Exploring Operation: 81/27=3, Resulting Numbers: [82, 3] Generated Node #3: [82, 3] from Operation: 81/27=3 Current State: 85:[82, 3], Operations: ['77-50=27', '81/27=3'] Exploring Operation: 82+3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 77, 89, 79, 1 ]
92
[ "89-77=12", "79+1=80", "12+80=92" ]
Current State: 92:[77, 89, 79, 1], Operations: [] Exploring Operation: 89-77=12, Resulting Numbers: [79, 1, 12] Generated Node #2: [79, 1, 12] from Operation: 89-77=12 Current State: 92:[79, 1, 12], Operations: ['89-77=12'] Exploring Operation: 79+1=80, Resulting Numbers: [12, 80] Generated Node #3: [12, 80] from Operation: 79+1=80 Current State: 92:[12, 80], Operations: ['89-77=12', '79+1=80'] Exploring Operation: 12+80=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 69, 79, 80, 28 ]
41
[ "69-28=41", "80-79=1", "41*1=41" ]
Current State: 41:[69, 79, 80, 28], Operations: [] Exploring Operation: 69-28=41, Resulting Numbers: [79, 80, 41] Generated Node #2: [79, 80, 41] from Operation: 69-28=41 Current State: 41:[79, 80, 41], Operations: ['69-28=41'] Exploring Operation: 80-79=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 80-79=1 Current State: 41:[41, 1], Operations: ['69-28=41', '80-79=1'] Exploring Operation: 41*1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 65, 34, 41, 41 ]
99
[ "65+34=99", "41-41=0", "99+0=99" ]
Current State: 99:[65, 34, 41, 41], Operations: [] Exploring Operation: 65+34=99, Resulting Numbers: [41, 41, 99] Generated Node #2: [41, 41, 99] from Operation: 65+34=99 Current State: 99:[41, 41, 99], Operations: ['65+34=99'] Exploring Operation: 41-41=0, Resulting Numbers: [99, 0] Generated Node #3: [99, 0] from Operation: 41-41=0 Current State: 99:[99, 0], Operations: ['65+34=99', '41-41=0'] Exploring Operation: 99+0=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 6, 45, 25, 44 ]
69
[ "44-25=19", "6*19=114", "114-45=69" ]
Current State: 69:[6, 45, 25, 44], Operations: [] Exploring Operation: 44-25=19, Resulting Numbers: [6, 45, 19] Generated Node #2: [6, 45, 19] from Operation: 44-25=19 Current State: 69:[6, 45, 19], Operations: ['44-25=19'] Exploring Operation: 6*19=114, Resulting Numbers: [45, 114] Generated Node #3: [45, 114] from Operation: 6*19=114 Current State: 69:[45, 114], Operations: ['44-25=19', '6*19=114'] Exploring Operation: 114-45=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 66, 6, 84, 37 ]
58
[ "66/6=11", "84-37=47", "11+47=58" ]
Current State: 58:[66, 6, 84, 37], Operations: [] Exploring Operation: 66/6=11, Resulting Numbers: [84, 37, 11] Generated Node #2: [84, 37, 11] from Operation: 66/6=11 Current State: 58:[84, 37, 11], Operations: ['66/6=11'] Exploring Operation: 84-37=47, Resulting Numbers: [11, 47] Generated Node #3: [11, 47] from Operation: 84-37=47 Current State: 58:[11, 47], Operations: ['66/6=11', '84-37=47'] Exploring Operation: 11+47=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 74, 6, 45, 71 ]
15
[ "74-6=68", "71-68=3", "45/3=15" ]
Current State: 15:[74, 6, 45, 71], Operations: [] Exploring Operation: 74-6=68, Resulting Numbers: [45, 71, 68] Generated Node #2: [45, 71, 68] from Operation: 74-6=68 Current State: 15:[45, 71, 68], Operations: ['74-6=68'] Exploring Operation: 71-68=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 71-68=3 Current State: 15:[45, 3], Operations: ['74-6=68', '71-68=3'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 20, 10, 10, 55 ]
52
[ "20+10=30", "30/10=3", "55-3=52" ]
Current State: 52:[20, 10, 10, 55], Operations: [] Exploring Operation: 20+10=30, Resulting Numbers: [55, 30] Generated Node #2: [55, 30] from Operation: 20+10=30 Current State: 52:[55, 30], Operations: ['20+10=30'] Exploring Operation: 30/10=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 30/10=3 Current State: 52:[55, 3], Operations: ['20+10=30', '30/10=3'] Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 49, 42, 96, 35 ]
89
[ "42-35=7", "49/7=7", "96-7=89" ]
Current State: 89:[49, 42, 96, 35], Operations: [] Exploring Operation: 42-35=7, Resulting Numbers: [49, 96, 7] Generated Node #2: [49, 96, 7] from Operation: 42-35=7 Current State: 89:[49, 96, 7], Operations: ['42-35=7'] Exploring Operation: 49/7=7, Resulting Numbers: [96, 7] Generated Node #3: [96, 7] from Operation: 49/7=7 Current State: 89:[96, 7], Operations: ['42-35=7', '49/7=7'] Exploring Operation: 96-7=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 52, 26, 16, 65 ]
98
[ "52/26=2", "65-16=49", "2*49=98" ]
Current State: 98:[52, 26, 16, 65], Operations: [] Exploring Operation: 52/26=2, Resulting Numbers: [16, 65, 2] Generated Node #2: [16, 65, 2] from Operation: 52/26=2 Current State: 98:[16, 65, 2], Operations: ['52/26=2'] Exploring Operation: 65-16=49, Resulting Numbers: [2, 49] Generated Node #3: [2, 49] from Operation: 65-16=49 Current State: 98:[2, 49], Operations: ['52/26=2', '65-16=49'] Exploring Operation: 2*49=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 57, 91, 6, 50 ]
92
[ "57+91=148", "6+50=56", "148-56=92" ]
Current State: 92:[57, 91, 6, 50], Operations: [] Exploring Operation: 57+91=148, Resulting Numbers: [6, 50, 148] Generated Node #2: [6, 50, 148] from Operation: 57+91=148 Current State: 92:[6, 50, 148], Operations: ['57+91=148'] Exploring Operation: 6+50=56, Resulting Numbers: [148, 56] Generated Node #3: [148, 56] from Operation: 6+50=56 Current State: 92:[148, 56], Operations: ['57+91=148', '6+50=56'] Exploring Operation: 148-56=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 5, 66, 8, 47 ]
73
[ "5*8=40", "66+47=113", "113-40=73" ]
Current State: 73:[5, 66, 8, 47], Operations: [] Exploring Operation: 5*8=40, Resulting Numbers: [66, 47, 40] Generated Node #2: [66, 47, 40] from Operation: 5*8=40 Current State: 73:[66, 47, 40], Operations: ['5*8=40'] Exploring Operation: 66+47=113, Resulting Numbers: [40, 113] Generated Node #3: [40, 113] from Operation: 66+47=113 Current State: 73:[40, 113], Operations: ['5*8=40', '66+47=113'] Exploring Operation: 113-40=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 12, 83, 87, 11 ]
74
[ "12+87=99", "99/11=9", "83-9=74" ]
Current State: 74:[12, 83, 87, 11], Operations: [] Exploring Operation: 12+87=99, Resulting Numbers: [83, 11, 99] Generated Node #2: [83, 11, 99] from Operation: 12+87=99 Current State: 74:[83, 11, 99], Operations: ['12+87=99'] Exploring Operation: 99/11=9, Resulting Numbers: [83, 9] Generated Node #3: [83, 9] from Operation: 99/11=9 Current State: 74:[83, 9], Operations: ['12+87=99', '99/11=9'] Exploring Operation: 83-9=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 56, 91, 64, 66 ]
17
[ "56+91=147", "64+66=130", "147-130=17" ]
Current State: 17:[56, 91, 64, 66], Operations: [] Exploring Operation: 56+91=147, Resulting Numbers: [64, 66, 147] Generated Node #2: [64, 66, 147] from Operation: 56+91=147 Current State: 17:[64, 66, 147], Operations: ['56+91=147'] Exploring Operation: 64+66=130, Resulting Numbers: [147, 130] Generated Node #3: [147, 130] from Operation: 64+66=130 Current State: 17:[147, 130], Operations: ['56+91=147', '64+66=130'] Exploring Operation: 147-130=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 16, 6, 48, 94 ]
70
[ "94-16=78", "48/6=8", "78-8=70" ]
Current State: 70:[16, 6, 48, 94], Operations: [] Exploring Operation: 94-16=78, Resulting Numbers: [6, 48, 78] Generated Node #2: [6, 48, 78] from Operation: 94-16=78 Current State: 70:[6, 48, 78], Operations: ['94-16=78'] Exploring Operation: 48/6=8, Resulting Numbers: [78, 8] Generated Node #3: [78, 8] from Operation: 48/6=8 Current State: 70:[78, 8], Operations: ['94-16=78', '48/6=8'] Exploring Operation: 78-8=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4