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
[ 98, 63, 71, 6 ]
30
[ "98-63=35", "71-6=65", "65-35=30" ]
Current State: 30:[98, 63, 71, 6], Operations: [] Exploring Operation: 98-63=35, Resulting Numbers: [71, 6, 35] Generated Node #2: [71, 6, 35] from Operation: 98-63=35 Current State: 30:[71, 6, 35], Operations: ['98-63=35'] Exploring Operation: 71-6=65, Resulting Numbers: [35, 65] Generated Node #3: [35, 65] from Operation: 71-6=65 Current State: 30:[35, 65], Operations: ['98-63=35', '71-6=65'] Exploring Operation: 65-35=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 46, 72, 56, 8 ]
69
[ "46*72=3312", "56-8=48", "3312/48=69" ]
Current State: 69:[46, 72, 56, 8], Operations: [] Exploring Operation: 46*72=3312, Resulting Numbers: [56, 8, 3312] Generated Node #2: [56, 8, 3312] from Operation: 46*72=3312 Current State: 69:[56, 8, 3312], Operations: ['46*72=3312'] Exploring Operation: 56-8=48, Resulting Numbers: [3312, 48] Generated Node #3: [3312, 48] from Operation: 56-8=48 Current State: 69:[3312, 48], Operations: ['46*72=3312', '56-8=48'] Exploring Operation: 3312/48=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 71, 4, 91, 63 ]
59
[ "71-63=8", "4*8=32", "91-32=59" ]
Current State: 59:[71, 4, 91, 63], Operations: [] Exploring Operation: 71-63=8, Resulting Numbers: [4, 91, 8] Generated Node #2: [4, 91, 8] from Operation: 71-63=8 Current State: 59:[4, 91, 8], Operations: ['71-63=8'] Exploring Operation: 4*8=32, Resulting Numbers: [91, 32] Generated Node #3: [91, 32] from Operation: 4*8=32 Current State: 59:[91, 32], Operations: ['71-63=8', '4*8=32'] Exploring Operation: 91-32=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 52, 98, 3, 77 ]
76
[ "52+98=150", "77-3=74", "150-74=76" ]
Current State: 76:[52, 98, 3, 77], Operations: [] Exploring Operation: 52+98=150, Resulting Numbers: [3, 77, 150] Generated Node #2: [3, 77, 150] from Operation: 52+98=150 Current State: 76:[3, 77, 150], Operations: ['52+98=150'] Exploring Operation: 77-3=74, Resulting Numbers: [150, 74] Generated Node #3: [150, 74] from Operation: 77-3=74 Current State: 76:[150, 74], Operations: ['52+98=150', '77-3=74'] Exploring Operation: 150-74=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 10, 55, 4, 97 ]
48
[ "55-10=45", "97-4=93", "93-45=48" ]
Current State: 48:[10, 55, 4, 97], Operations: [] Exploring Operation: 55-10=45, Resulting Numbers: [4, 97, 45] Generated Node #2: [4, 97, 45] from Operation: 55-10=45 Current State: 48:[4, 97, 45], Operations: ['55-10=45'] Exploring Operation: 97-4=93, Resulting Numbers: [45, 93] Generated Node #3: [45, 93] from Operation: 97-4=93 Current State: 48:[45, 93], Operations: ['55-10=45', '97-4=93'] Exploring Operation: 93-45=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 9, 93, 71, 69 ]
56
[ "93-9=84", "71+69=140", "140-84=56" ]
Current State: 56:[9, 93, 71, 69], Operations: [] Exploring Operation: 93-9=84, Resulting Numbers: [71, 69, 84] Generated Node #2: [71, 69, 84] from Operation: 93-9=84 Current State: 56:[71, 69, 84], Operations: ['93-9=84'] Exploring Operation: 71+69=140, Resulting Numbers: [84, 140] Generated Node #3: [84, 140] from Operation: 71+69=140 Current State: 56:[84, 140], Operations: ['93-9=84', '71+69=140'] Exploring Operation: 140-84=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 75, 58, 11, 68 ]
35
[ "68-58=10", "11*10=110", "110-75=35" ]
Current State: 35:[75, 58, 11, 68], Operations: [] Exploring Operation: 68-58=10, Resulting Numbers: [75, 11, 10] Generated Node #2: [75, 11, 10] from Operation: 68-58=10 Current State: 35:[75, 11, 10], Operations: ['68-58=10'] Exploring Operation: 11*10=110, Resulting Numbers: [75, 110] Generated Node #3: [75, 110] from Operation: 11*10=110 Current State: 35:[75, 110], Operations: ['68-58=10', '11*10=110'] Exploring Operation: 110-75=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 91, 35, 34, 89 ]
33
[ "91-89=2", "34*2=68", "68-35=33" ]
Current State: 33:[91, 35, 34, 89], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [35, 34, 2] Generated Node #2: [35, 34, 2] from Operation: 91-89=2 Current State: 33:[35, 34, 2], Operations: ['91-89=2'] Exploring Operation: 34*2=68, Resulting Numbers: [35, 68] Generated Node #3: [35, 68] from Operation: 34*2=68 Current State: 33:[35, 68], Operations: ['91-89=2', '34*2=68'] Exploring Operation: 68-35=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 90, 19, 95, 77 ]
18
[ "95-90=5", "19*5=95", "95-77=18" ]
Current State: 18:[90, 19, 95, 77], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [19, 77, 5] Generated Node #2: [19, 77, 5] from Operation: 95-90=5 Current State: 18:[19, 77, 5], Operations: ['95-90=5'] Exploring Operation: 19*5=95, Resulting Numbers: [77, 95] Generated Node #3: [77, 95] from Operation: 19*5=95 Current State: 18:[77, 95], Operations: ['95-90=5', '19*5=95'] Exploring Operation: 95-77=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 32, 13, 1, 28 ]
53
[ "32-28=4", "13*4=52", "1+52=53" ]
Current State: 53:[32, 13, 1, 28], Operations: [] Exploring Operation: 32-28=4, Resulting Numbers: [13, 1, 4] Generated Node #2: [13, 1, 4] from Operation: 32-28=4 Current State: 53:[13, 1, 4], Operations: ['32-28=4'] Exploring Operation: 13*4=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 13*4=52 Current State: 53:[1, 52], Operations: ['32-28=4', '13*4=52'] Exploring Operation: 1+52=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 56, 80, 75, 89 ]
20
[ "89-75=14", "56/14=4", "80/4=20" ]
Current State: 20:[56, 80, 75, 89], Operations: [] Exploring Operation: 89-75=14, Resulting Numbers: [56, 80, 14] Generated Node #2: [56, 80, 14] from Operation: 89-75=14 Current State: 20:[56, 80, 14], Operations: ['89-75=14'] Exploring Operation: 56/14=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 56/14=4 Current State: 20:[80, 4], Operations: ['89-75=14', '56/14=4'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 47, 32, 29, 2 ]
70
[ "47+29=76", "76/2=38", "32+38=70" ]
Current State: 70:[47, 32, 29, 2], Operations: [] Exploring Operation: 47+29=76, Resulting Numbers: [32, 2, 76] Generated Node #2: [32, 2, 76] from Operation: 47+29=76 Current State: 70:[32, 2, 76], Operations: ['47+29=76'] Exploring Operation: 76/2=38, Resulting Numbers: [32, 38] Generated Node #3: [32, 38] from Operation: 76/2=38 Current State: 70:[32, 38], Operations: ['47+29=76', '76/2=38'] Exploring Operation: 32+38=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 26, 2, 30, 36 ]
59
[ "30+36=66", "66/2=33", "26+33=59" ]
Current State: 59:[26, 2, 30, 36], Operations: [] Exploring Operation: 30+36=66, Resulting Numbers: [26, 2, 66] Generated Node #2: [26, 2, 66] from Operation: 30+36=66 Current State: 59:[26, 2, 66], Operations: ['30+36=66'] Exploring Operation: 66/2=33, Resulting Numbers: [26, 33] Generated Node #3: [26, 33] from Operation: 66/2=33 Current State: 59:[26, 33], Operations: ['30+36=66', '66/2=33'] Exploring Operation: 26+33=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 27, 16, 91, 19 ]
76
[ "91-27=64", "64/16=4", "19*4=76" ]
Current State: 76:[27, 16, 91, 19], Operations: [] Exploring Operation: 91-27=64, Resulting Numbers: [16, 19, 64] Generated Node #2: [16, 19, 64] from Operation: 91-27=64 Current State: 76:[16, 19, 64], Operations: ['91-27=64'] Exploring Operation: 64/16=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 64/16=4 Current State: 76:[19, 4], Operations: ['91-27=64', '64/16=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 42, 13, 5, 61 ]
27
[ "42-13=29", "61-5=56", "56-29=27" ]
Current State: 27:[42, 13, 5, 61], Operations: [] Exploring Operation: 42-13=29, Resulting Numbers: [5, 61, 29] Generated Node #2: [5, 61, 29] from Operation: 42-13=29 Current State: 27:[5, 61, 29], Operations: ['42-13=29'] Exploring Operation: 61-5=56, Resulting Numbers: [29, 56] Generated Node #3: [29, 56] from Operation: 61-5=56 Current State: 27:[29, 56], Operations: ['42-13=29', '61-5=56'] Exploring Operation: 56-29=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 37, 15, 9, 17 ]
56
[ "37-9=28", "17-15=2", "28*2=56" ]
Current State: 56:[37, 15, 9, 17], Operations: [] Exploring Operation: 37-9=28, Resulting Numbers: [15, 17, 28] Generated Node #2: [15, 17, 28] from Operation: 37-9=28 Current State: 56:[15, 17, 28], Operations: ['37-9=28'] Exploring Operation: 17-15=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 17-15=2 Current State: 56:[28, 2], Operations: ['37-9=28', '17-15=2'] Exploring Operation: 28*2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 44, 40, 44, 6 ]
58
[ "44+40=84", "84/6=14", "44+14=58" ]
Current State: 58:[44, 40, 44, 6], Operations: [] Exploring Operation: 44+40=84, Resulting Numbers: [6, 84] Generated Node #2: [6, 84] from Operation: 44+40=84 Current State: 58:[6, 84], Operations: ['44+40=84'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,58 equal: Goal Reached Exploring Operation: 44+14=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 72, 48, 18, 96 ]
76
[ "18+96=114", "48*114=5472", "5472/72=76" ]
Current State: 76:[72, 48, 18, 96], Operations: [] Exploring Operation: 18+96=114, Resulting Numbers: [72, 48, 114] Generated Node #2: [72, 48, 114] from Operation: 18+96=114 Current State: 76:[72, 48, 114], Operations: ['18+96=114'] Exploring Operation: 48*114=5472, Resulting Numbers: [72, 5472] Generated Node #3: [72, 5472] from Operation: 48*114=5472 Current State: 76:[72, 5472], Operations: ['18+96=114', '48*114=5472'] Exploring Operation: 5472/72=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 83, 7, 65, 65 ]
12
[ "65/65=1", "83+1=84", "84/7=12" ]
Current State: 12:[83, 7, 65, 65], Operations: [] Exploring Operation: 65/65=1, Resulting Numbers: [83, 7, 1] Generated Node #2: [83, 7, 1] from Operation: 65/65=1 Current State: 12:[83, 7, 1], Operations: ['65/65=1'] Exploring Operation: 83+1=84, Resulting Numbers: [7, 84] Generated Node #3: [7, 84] from Operation: 83+1=84 Current State: 12:[7, 84], Operations: ['65/65=1', '83+1=84'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 87, 79, 26, 21 ]
82
[ "79+26=105", "105/21=5", "87-5=82" ]
Current State: 82:[87, 79, 26, 21], Operations: [] Exploring Operation: 79+26=105, Resulting Numbers: [87, 21, 105] Generated Node #2: [87, 21, 105] from Operation: 79+26=105 Current State: 82:[87, 21, 105], Operations: ['79+26=105'] Exploring Operation: 105/21=5, Resulting Numbers: [87, 5] Generated Node #3: [87, 5] from Operation: 105/21=5 Current State: 82:[87, 5], Operations: ['79+26=105', '105/21=5'] Exploring Operation: 87-5=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 21, 76, 21, 53 ]
76
[ "21-21=0", "53*0=0", "76+0=76" ]
Current State: 76:[21, 76, 21, 53], Operations: [] Exploring Operation: 21-21=0, Resulting Numbers: [76, 53, 0] Generated Node #2: [76, 53, 0] from Operation: 21-21=0 Current State: 76:[76, 53, 0], Operations: ['21-21=0'] Exploring Operation: 53*0=0, Resulting Numbers: [76, 0] Generated Node #3: [76, 0] from Operation: 53*0=0 Current State: 76:[76, 0], Operations: ['21-21=0', '53*0=0'] Exploring Operation: 76+0=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 47, 34, 50, 57 ]
15
[ "50-47=3", "57/3=19", "34-19=15" ]
Current State: 15:[47, 34, 50, 57], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [34, 57, 3] Generated Node #2: [34, 57, 3] from Operation: 50-47=3 Current State: 15:[34, 57, 3], Operations: ['50-47=3'] Exploring Operation: 57/3=19, Resulting Numbers: [34, 19] Generated Node #3: [34, 19] from Operation: 57/3=19 Current State: 15:[34, 19], Operations: ['50-47=3', '57/3=19'] Exploring Operation: 34-19=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 18, 15, 96, 30 ]
33
[ "18+15=33", "96-30=66", "66-33=33" ]
Current State: 33:[18, 15, 96, 30], Operations: [] Exploring Operation: 18+15=33, Resulting Numbers: [96, 30, 33] Generated Node #2: [96, 30, 33] from Operation: 18+15=33 Current State: 33:[96, 30, 33], Operations: ['18+15=33'] Exploring Operation: 96-30=66, Resulting Numbers: [33, 66] Generated Node #3: [33, 66] from Operation: 96-30=66 Current State: 33:[33, 66], Operations: ['18+15=33', '96-30=66'] Exploring Operation: 66-33=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 7, 17, 4, 36 ]
57
[ "7-4=3", "36-17=19", "3*19=57" ]
Current State: 57:[7, 17, 4, 36], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [17, 36, 3] Generated Node #2: [17, 36, 3] from Operation: 7-4=3 Current State: 57:[17, 36, 3], Operations: ['7-4=3'] Exploring Operation: 36-17=19, Resulting Numbers: [3, 19] Generated Node #3: [3, 19] from Operation: 36-17=19 Current State: 57:[3, 19], Operations: ['7-4=3', '36-17=19'] Exploring Operation: 3*19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 74, 44, 81, 15 ]
61
[ "81-74=7", "15*7=105", "105-44=61" ]
Current State: 61:[74, 44, 81, 15], Operations: [] Exploring Operation: 81-74=7, Resulting Numbers: [44, 15, 7] Generated Node #2: [44, 15, 7] from Operation: 81-74=7 Current State: 61:[44, 15, 7], Operations: ['81-74=7'] Exploring Operation: 15*7=105, Resulting Numbers: [44, 105] Generated Node #3: [44, 105] from Operation: 15*7=105 Current State: 61:[44, 105], Operations: ['81-74=7', '15*7=105'] Exploring Operation: 105-44=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 21, 98, 68, 79 ]
14
[ "21*98=2058", "68+79=147", "2058/147=14" ]
Current State: 14:[21, 98, 68, 79], Operations: [] Exploring Operation: 21*98=2058, Resulting Numbers: [68, 79, 2058] Generated Node #2: [68, 79, 2058] from Operation: 21*98=2058 Current State: 14:[68, 79, 2058], Operations: ['21*98=2058'] Exploring Operation: 68+79=147, Resulting Numbers: [2058, 147] Generated Node #3: [2058, 147] from Operation: 68+79=147 Current State: 14:[2058, 147], Operations: ['21*98=2058', '68+79=147'] Exploring Operation: 2058/147=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 92, 95, 59, 43 ]
48
[ "95-92=3", "59-43=16", "3*16=48" ]
Current State: 48:[92, 95, 59, 43], Operations: [] Exploring Operation: 95-92=3, Resulting Numbers: [59, 43, 3] Generated Node #2: [59, 43, 3] from Operation: 95-92=3 Current State: 48:[59, 43, 3], Operations: ['95-92=3'] Exploring Operation: 59-43=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 59-43=16 Current State: 48:[3, 16], Operations: ['95-92=3', '59-43=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 37, 44, 59, 24 ]
42
[ "44-37=7", "59-24=35", "7+35=42" ]
Current State: 42:[37, 44, 59, 24], Operations: [] Exploring Operation: 44-37=7, Resulting Numbers: [59, 24, 7] Generated Node #2: [59, 24, 7] from Operation: 44-37=7 Current State: 42:[59, 24, 7], Operations: ['44-37=7'] Exploring Operation: 59-24=35, Resulting Numbers: [7, 35] Generated Node #3: [7, 35] from Operation: 59-24=35 Current State: 42:[7, 35], Operations: ['44-37=7', '59-24=35'] Exploring Operation: 7+35=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 97, 99, 71, 18 ]
35
[ "99-97=2", "18*2=36", "71-36=35" ]
Current State: 35:[97, 99, 71, 18], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [71, 18, 2] Generated Node #2: [71, 18, 2] from Operation: 99-97=2 Current State: 35:[71, 18, 2], Operations: ['99-97=2'] Exploring Operation: 18*2=36, Resulting Numbers: [71, 36] Generated Node #3: [71, 36] from Operation: 18*2=36 Current State: 35:[71, 36], Operations: ['99-97=2', '18*2=36'] Exploring Operation: 71-36=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 53, 9, 79, 87 ]
36
[ "53-9=44", "87-79=8", "44-8=36" ]
Current State: 36:[53, 9, 79, 87], Operations: [] Exploring Operation: 53-9=44, Resulting Numbers: [79, 87, 44] Generated Node #2: [79, 87, 44] from Operation: 53-9=44 Current State: 36:[79, 87, 44], Operations: ['53-9=44'] Exploring Operation: 87-79=8, Resulting Numbers: [44, 8] Generated Node #3: [44, 8] from Operation: 87-79=8 Current State: 36:[44, 8], Operations: ['53-9=44', '87-79=8'] Exploring Operation: 44-8=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 92, 23, 40, 60 ]
31
[ "92-23=69", "40+60=100", "100-69=31" ]
Current State: 31:[92, 23, 40, 60], Operations: [] Exploring Operation: 92-23=69, Resulting Numbers: [40, 60, 69] Generated Node #2: [40, 60, 69] from Operation: 92-23=69 Current State: 31:[40, 60, 69], Operations: ['92-23=69'] Exploring Operation: 40+60=100, Resulting Numbers: [69, 100] Generated Node #3: [69, 100] from Operation: 40+60=100 Current State: 31:[69, 100], Operations: ['92-23=69', '40+60=100'] Exploring Operation: 100-69=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 53, 54, 12, 3 ]
92
[ "53+54=107", "12+3=15", "107-15=92" ]
Current State: 92:[53, 54, 12, 3], Operations: [] Exploring Operation: 53+54=107, Resulting Numbers: [12, 3, 107] Generated Node #2: [12, 3, 107] from Operation: 53+54=107 Current State: 92:[12, 3, 107], Operations: ['53+54=107'] Exploring Operation: 12+3=15, Resulting Numbers: [107, 15] Generated Node #3: [107, 15] from Operation: 12+3=15 Current State: 92:[107, 15], Operations: ['53+54=107', '12+3=15'] Exploring Operation: 107-15=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 40, 89, 74, 74 ]
99
[ "89-40=49", "74+74=148", "148-49=99" ]
Current State: 99:[40, 89, 74, 74], Operations: [] Exploring Operation: 89-40=49, Resulting Numbers: [74, 74, 49] Generated Node #2: [74, 74, 49] from Operation: 89-40=49 Current State: 99:[74, 74, 49], Operations: ['89-40=49'] Exploring Operation: 74+74=148, Resulting Numbers: [49, 148] Generated Node #3: [49, 148] from Operation: 74+74=148 Current State: 99:[49, 148], Operations: ['89-40=49', '74+74=148'] Exploring Operation: 148-49=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 5, 4, 90, 21 ]
60
[ "5+4=9", "90-21=69", "69-9=60" ]
Current State: 60:[5, 4, 90, 21], Operations: [] Exploring Operation: 5+4=9, Resulting Numbers: [90, 21, 9] Generated Node #2: [90, 21, 9] from Operation: 5+4=9 Current State: 60:[90, 21, 9], Operations: ['5+4=9'] Exploring Operation: 90-21=69, Resulting Numbers: [9, 69] Generated Node #3: [9, 69] from Operation: 90-21=69 Current State: 60:[9, 69], Operations: ['5+4=9', '90-21=69'] Exploring Operation: 69-9=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 44, 25, 24, 5 ]
40
[ "44+25=69", "24+5=29", "69-29=40" ]
Current State: 40:[44, 25, 24, 5], Operations: [] Exploring Operation: 44+25=69, Resulting Numbers: [24, 5, 69] Generated Node #2: [24, 5, 69] from Operation: 44+25=69 Current State: 40:[24, 5, 69], Operations: ['44+25=69'] Exploring Operation: 24+5=29, Resulting Numbers: [69, 29] Generated Node #3: [69, 29] from Operation: 24+5=29 Current State: 40:[69, 29], Operations: ['44+25=69', '24+5=29'] Exploring Operation: 69-29=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 29, 41, 97, 78 ]
14
[ "29*41=1189", "1189-97=1092", "1092/78=14" ]
Current State: 14:[29, 41, 97, 78], Operations: [] Exploring Operation: 29*41=1189, Resulting Numbers: [97, 78, 1189] Generated Node #2: [97, 78, 1189] from Operation: 29*41=1189 Current State: 14:[97, 78, 1189], Operations: ['29*41=1189'] Exploring Operation: 1189-97=1092, Resulting Numbers: [78, 1092] Generated Node #3: [78, 1092] from Operation: 1189-97=1092 Current State: 14:[78, 1092], Operations: ['29*41=1189', '1189-97=1092'] Exploring Operation: 1092/78=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 38, 10, 60, 86 ]
54
[ "38-10=28", "86-60=26", "28+26=54" ]
Current State: 54:[38, 10, 60, 86], Operations: [] Exploring Operation: 38-10=28, Resulting Numbers: [60, 86, 28] Generated Node #2: [60, 86, 28] from Operation: 38-10=28 Current State: 54:[60, 86, 28], Operations: ['38-10=28'] Exploring Operation: 86-60=26, Resulting Numbers: [28, 26] Generated Node #3: [28, 26] from Operation: 86-60=26 Current State: 54:[28, 26], Operations: ['38-10=28', '86-60=26'] Exploring Operation: 28+26=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 38, 97, 26, 19 ]
84
[ "38/19=2", "26/2=13", "97-13=84" ]
Current State: 84:[38, 97, 26, 19], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [97, 26, 2] Generated Node #2: [97, 26, 2] from Operation: 38/19=2 Current State: 84:[97, 26, 2], Operations: ['38/19=2'] Exploring Operation: 26/2=13, Resulting Numbers: [97, 13] Generated Node #3: [97, 13] from Operation: 26/2=13 Current State: 84:[97, 13], Operations: ['38/19=2', '26/2=13'] Exploring Operation: 97-13=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 12, 42, 80, 17 ]
67
[ "42-12=30", "80+17=97", "97-30=67" ]
Current State: 67:[12, 42, 80, 17], Operations: [] Exploring Operation: 42-12=30, Resulting Numbers: [80, 17, 30] Generated Node #2: [80, 17, 30] from Operation: 42-12=30 Current State: 67:[80, 17, 30], Operations: ['42-12=30'] Exploring Operation: 80+17=97, Resulting Numbers: [30, 97] Generated Node #3: [30, 97] from Operation: 80+17=97 Current State: 67:[30, 97], Operations: ['42-12=30', '80+17=97'] Exploring Operation: 97-30=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 75, 10, 92, 8 ]
87
[ "75+92=167", "10*8=80", "167-80=87" ]
Current State: 87:[75, 10, 92, 8], Operations: [] Exploring Operation: 75+92=167, Resulting Numbers: [10, 8, 167] Generated Node #2: [10, 8, 167] from Operation: 75+92=167 Current State: 87:[10, 8, 167], Operations: ['75+92=167'] Exploring Operation: 10*8=80, Resulting Numbers: [167, 80] Generated Node #3: [167, 80] from Operation: 10*8=80 Current State: 87:[167, 80], Operations: ['75+92=167', '10*8=80'] Exploring Operation: 167-80=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 44, 70, 31, 75 ]
18
[ "70-44=26", "75-31=44", "44-26=18" ]
Current State: 18:[44, 70, 31, 75], Operations: [] Exploring Operation: 70-44=26, Resulting Numbers: [31, 75, 26] Generated Node #2: [31, 75, 26] from Operation: 70-44=26 Current State: 18:[31, 75, 26], Operations: ['70-44=26'] Exploring Operation: 75-31=44, Resulting Numbers: [26, 44] Generated Node #3: [26, 44] from Operation: 75-31=44 Current State: 18:[26, 44], Operations: ['70-44=26', '75-31=44'] Exploring Operation: 44-26=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 15, 77, 51, 86 ]
45
[ "15+77=92", "51+86=137", "137-92=45" ]
Current State: 45:[15, 77, 51, 86], Operations: [] Exploring Operation: 15+77=92, Resulting Numbers: [51, 86, 92] Generated Node #2: [51, 86, 92] from Operation: 15+77=92 Current State: 45:[51, 86, 92], Operations: ['15+77=92'] Exploring Operation: 51+86=137, Resulting Numbers: [92, 137] Generated Node #3: [92, 137] from Operation: 51+86=137 Current State: 45:[92, 137], Operations: ['15+77=92', '51+86=137'] Exploring Operation: 137-92=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 19, 31, 45, 7 ]
17
[ "45-31=14", "14/7=2", "19-2=17" ]
Current State: 17:[19, 31, 45, 7], Operations: [] Exploring Operation: 45-31=14, Resulting Numbers: [19, 7, 14] Generated Node #2: [19, 7, 14] from Operation: 45-31=14 Current State: 17:[19, 7, 14], Operations: ['45-31=14'] Exploring Operation: 14/7=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 14/7=2 Current State: 17:[19, 2], Operations: ['45-31=14', '14/7=2'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 82, 44, 1, 88 ]
51
[ "82-44=38", "1+88=89", "89-38=51" ]
Current State: 51:[82, 44, 1, 88], Operations: [] Exploring Operation: 82-44=38, Resulting Numbers: [1, 88, 38] Generated Node #2: [1, 88, 38] from Operation: 82-44=38 Current State: 51:[1, 88, 38], Operations: ['82-44=38'] Exploring Operation: 1+88=89, Resulting Numbers: [38, 89] Generated Node #3: [38, 89] from Operation: 1+88=89 Current State: 51:[38, 89], Operations: ['82-44=38', '1+88=89'] Exploring Operation: 89-38=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 76, 98, 72, 48 ]
46
[ "98-76=22", "72-48=24", "22+24=46" ]
Current State: 46:[76, 98, 72, 48], Operations: [] Exploring Operation: 98-76=22, Resulting Numbers: [72, 48, 22] Generated Node #2: [72, 48, 22] from Operation: 98-76=22 Current State: 46:[72, 48, 22], Operations: ['98-76=22'] Exploring Operation: 72-48=24, Resulting Numbers: [22, 24] Generated Node #3: [22, 24] from Operation: 72-48=24 Current State: 46:[22, 24], Operations: ['98-76=22', '72-48=24'] Exploring Operation: 22+24=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 56, 78, 32, 26 ]
40
[ "78*32=2496", "2496/26=96", "96-56=40" ]
Current State: 40:[56, 78, 32, 26], Operations: [] Exploring Operation: 78*32=2496, Resulting Numbers: [56, 26, 2496] Generated Node #2: [56, 26, 2496] from Operation: 78*32=2496 Current State: 40:[56, 26, 2496], Operations: ['78*32=2496'] Exploring Operation: 2496/26=96, Resulting Numbers: [56, 96] Generated Node #3: [56, 96] from Operation: 2496/26=96 Current State: 40:[56, 96], Operations: ['78*32=2496', '2496/26=96'] Exploring Operation: 96-56=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 28, 11, 89, 71 ]
80
[ "28+71=99", "99/11=9", "89-9=80" ]
Current State: 80:[28, 11, 89, 71], Operations: [] Exploring Operation: 28+71=99, Resulting Numbers: [11, 89, 99] Generated Node #2: [11, 89, 99] from Operation: 28+71=99 Current State: 80:[11, 89, 99], Operations: ['28+71=99'] Exploring Operation: 99/11=9, Resulting Numbers: [89, 9] Generated Node #3: [89, 9] from Operation: 99/11=9 Current State: 80:[89, 9], Operations: ['28+71=99', '99/11=9'] Exploring Operation: 89-9=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 88, 70, 89, 91 ]
36
[ "88-70=18", "91-89=2", "18*2=36" ]
Current State: 36:[88, 70, 89, 91], Operations: [] Exploring Operation: 88-70=18, Resulting Numbers: [89, 91, 18] Generated Node #2: [89, 91, 18] from Operation: 88-70=18 Current State: 36:[89, 91, 18], Operations: ['88-70=18'] Exploring Operation: 91-89=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 91-89=2 Current State: 36:[18, 2], Operations: ['88-70=18', '91-89=2'] Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 17, 44, 15, 21 ]
58
[ "21-15=6", "17*6=102", "102-44=58" ]
Current State: 58:[17, 44, 15, 21], Operations: [] Exploring Operation: 21-15=6, Resulting Numbers: [17, 44, 6] Generated Node #2: [17, 44, 6] from Operation: 21-15=6 Current State: 58:[17, 44, 6], Operations: ['21-15=6'] Exploring Operation: 17*6=102, Resulting Numbers: [44, 102] Generated Node #3: [44, 102] from Operation: 17*6=102 Current State: 58:[44, 102], Operations: ['21-15=6', '17*6=102'] Exploring Operation: 102-44=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 22, 25, 38, 97 ]
88
[ "22+25=47", "38+97=135", "135-47=88" ]
Current State: 88:[22, 25, 38, 97], Operations: [] Exploring Operation: 22+25=47, Resulting Numbers: [38, 97, 47] Generated Node #2: [38, 97, 47] from Operation: 22+25=47 Current State: 88:[38, 97, 47], Operations: ['22+25=47'] Exploring Operation: 38+97=135, Resulting Numbers: [47, 135] Generated Node #3: [47, 135] from Operation: 38+97=135 Current State: 88:[47, 135], Operations: ['22+25=47', '38+97=135'] Exploring Operation: 135-47=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 47, 4, 29, 96 ]
80
[ "47+29=76", "96-76=20", "4*20=80" ]
Current State: 80:[47, 4, 29, 96], Operations: [] Exploring Operation: 47+29=76, Resulting Numbers: [4, 96, 76] Generated Node #2: [4, 96, 76] from Operation: 47+29=76 Current State: 80:[4, 96, 76], Operations: ['47+29=76'] Exploring Operation: 96-76=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 96-76=20 Current State: 80:[4, 20], Operations: ['47+29=76', '96-76=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 81, 99, 39, 7 ]
87
[ "99-81=18", "7*18=126", "126-39=87" ]
Current State: 87:[81, 99, 39, 7], Operations: [] Exploring Operation: 99-81=18, Resulting Numbers: [39, 7, 18] Generated Node #2: [39, 7, 18] from Operation: 99-81=18 Current State: 87:[39, 7, 18], Operations: ['99-81=18'] Exploring Operation: 7*18=126, Resulting Numbers: [39, 126] Generated Node #3: [39, 126] from Operation: 7*18=126 Current State: 87:[39, 126], Operations: ['99-81=18', '7*18=126'] Exploring Operation: 126-39=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 37, 6, 12, 30 ]
97
[ "12/6=2", "30*2=60", "37+60=97" ]
Current State: 97:[37, 6, 12, 30], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [37, 30, 2] Generated Node #2: [37, 30, 2] from Operation: 12/6=2 Current State: 97:[37, 30, 2], Operations: ['12/6=2'] Exploring Operation: 30*2=60, Resulting Numbers: [37, 60] Generated Node #3: [37, 60] from Operation: 30*2=60 Current State: 97:[37, 60], Operations: ['12/6=2', '30*2=60'] Exploring Operation: 37+60=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 77, 7, 1, 85 ]
65
[ "85-1=84", "84/7=12", "77-12=65" ]
Current State: 65:[77, 7, 1, 85], Operations: [] Exploring Operation: 85-1=84, Resulting Numbers: [77, 7, 84] Generated Node #2: [77, 7, 84] from Operation: 85-1=84 Current State: 65:[77, 7, 84], Operations: ['85-1=84'] Exploring Operation: 84/7=12, Resulting Numbers: [77, 12] Generated Node #3: [77, 12] from Operation: 84/7=12 Current State: 65:[77, 12], Operations: ['85-1=84', '84/7=12'] Exploring Operation: 77-12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 8, 64, 48, 34 ]
90
[ "64/8=8", "48+34=82", "8+82=90" ]
Current State: 90:[8, 64, 48, 34], Operations: [] Exploring Operation: 64/8=8, Resulting Numbers: [48, 34, 8] Generated Node #2: [48, 34, 8] from Operation: 64/8=8 Current State: 90:[48, 34, 8], Operations: ['64/8=8'] Exploring Operation: 48+34=82, Resulting Numbers: [8, 82] Generated Node #3: [8, 82] from Operation: 48+34=82 Current State: 90:[8, 82], Operations: ['64/8=8', '48+34=82'] Exploring Operation: 8+82=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 19, 23, 50, 33 ]
25
[ "19+23=42", "50-33=17", "42-17=25" ]
Current State: 25:[19, 23, 50, 33], Operations: [] Exploring Operation: 19+23=42, Resulting Numbers: [50, 33, 42] Generated Node #2: [50, 33, 42] from Operation: 19+23=42 Current State: 25:[50, 33, 42], Operations: ['19+23=42'] Exploring Operation: 50-33=17, Resulting Numbers: [42, 17] Generated Node #3: [42, 17] from Operation: 50-33=17 Current State: 25:[42, 17], Operations: ['19+23=42', '50-33=17'] Exploring Operation: 42-17=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 30, 13, 41, 74 ]
39
[ "30+41=71", "74-71=3", "13*3=39" ]
Current State: 39:[30, 13, 41, 74], Operations: [] Exploring Operation: 30+41=71, Resulting Numbers: [13, 74, 71] Generated Node #2: [13, 74, 71] from Operation: 30+41=71 Current State: 39:[13, 74, 71], Operations: ['30+41=71'] Exploring Operation: 74-71=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 74-71=3 Current State: 39:[13, 3], Operations: ['30+41=71', '74-71=3'] Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 27, 36, 42, 10 ]
61
[ "36-27=9", "42+10=52", "9+52=61" ]
Current State: 61:[27, 36, 42, 10], Operations: [] Exploring Operation: 36-27=9, Resulting Numbers: [42, 10, 9] Generated Node #2: [42, 10, 9] from Operation: 36-27=9 Current State: 61:[42, 10, 9], Operations: ['36-27=9'] Exploring Operation: 42+10=52, Resulting Numbers: [9, 52] Generated Node #3: [9, 52] from Operation: 42+10=52 Current State: 61:[9, 52], Operations: ['36-27=9', '42+10=52'] Exploring Operation: 9+52=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 10, 40, 5, 38 ]
52
[ "10*5=50", "40-38=2", "50+2=52" ]
Current State: 52:[10, 40, 5, 38], Operations: [] Exploring Operation: 10*5=50, Resulting Numbers: [40, 38, 50] Generated Node #2: [40, 38, 50] from Operation: 10*5=50 Current State: 52:[40, 38, 50], Operations: ['10*5=50'] Exploring Operation: 40-38=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 40-38=2 Current State: 52:[50, 2], Operations: ['10*5=50', '40-38=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 62, 7, 77, 57 ]
55
[ "62-57=5", "77/7=11", "5*11=55" ]
Current State: 55:[62, 7, 77, 57], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [7, 77, 5] Generated Node #2: [7, 77, 5] from Operation: 62-57=5 Current State: 55:[7, 77, 5], Operations: ['62-57=5'] Exploring Operation: 77/7=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 77/7=11 Current State: 55:[5, 11], Operations: ['62-57=5', '77/7=11'] Exploring Operation: 5*11=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 22, 8, 30, 16 ]
50
[ "22+30=52", "16/8=2", "52-2=50" ]
Current State: 50:[22, 8, 30, 16], Operations: [] Exploring Operation: 22+30=52, Resulting Numbers: [8, 16, 52] Generated Node #2: [8, 16, 52] from Operation: 22+30=52 Current State: 50:[8, 16, 52], Operations: ['22+30=52'] Exploring Operation: 16/8=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 16/8=2 Current State: 50:[52, 2], Operations: ['22+30=52', '16/8=2'] Exploring Operation: 52-2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 84, 66, 67, 10 ]
59
[ "84-66=18", "67+10=77", "77-18=59" ]
Current State: 59:[84, 66, 67, 10], Operations: [] Exploring Operation: 84-66=18, Resulting Numbers: [67, 10, 18] Generated Node #2: [67, 10, 18] from Operation: 84-66=18 Current State: 59:[67, 10, 18], Operations: ['84-66=18'] Exploring Operation: 67+10=77, Resulting Numbers: [18, 77] Generated Node #3: [18, 77] from Operation: 67+10=77 Current State: 59:[18, 77], Operations: ['84-66=18', '67+10=77'] Exploring Operation: 77-18=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 55, 6, 48, 18 ]
57
[ "6+18=24", "48/24=2", "55+2=57" ]
Current State: 57:[55, 6, 48, 18], Operations: [] Exploring Operation: 6+18=24, Resulting Numbers: [55, 48, 24] Generated Node #2: [55, 48, 24] from Operation: 6+18=24 Current State: 57:[55, 48, 24], Operations: ['6+18=24'] Exploring Operation: 48/24=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 48/24=2 Current State: 57:[55, 2], Operations: ['6+18=24', '48/24=2'] Exploring Operation: 55+2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 63, 5, 2, 49 ]
61
[ "63+49=112", "112/2=56", "5+56=61" ]
Current State: 61:[63, 5, 2, 49], Operations: [] Exploring Operation: 63+49=112, Resulting Numbers: [5, 2, 112] Generated Node #2: [5, 2, 112] from Operation: 63+49=112 Current State: 61:[5, 2, 112], Operations: ['63+49=112'] Exploring Operation: 112/2=56, Resulting Numbers: [5, 56] Generated Node #3: [5, 56] from Operation: 112/2=56 Current State: 61:[5, 56], Operations: ['63+49=112', '112/2=56'] Exploring Operation: 5+56=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 12, 8, 8, 58 ]
99
[ "8+58=66", "12*66=792", "792/8=99" ]
Current State: 99:[12, 8, 8, 58], Operations: [] Exploring Operation: 8+58=66, Resulting Numbers: [12, 66] Generated Node #2: [12, 66] from Operation: 8+58=66 Current State: 99:[12, 66], Operations: ['8+58=66'] Exploring Operation: 12*66=792, Resulting Numbers: [792] 792,99 equal: Goal Reached Exploring Operation: 792/8=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 46, 25, 4, 74 ]
20
[ "46+74=120", "25*4=100", "120-100=20" ]
Current State: 20:[46, 25, 4, 74], Operations: [] Exploring Operation: 46+74=120, Resulting Numbers: [25, 4, 120] Generated Node #2: [25, 4, 120] from Operation: 46+74=120 Current State: 20:[25, 4, 120], Operations: ['46+74=120'] Exploring Operation: 25*4=100, Resulting Numbers: [120, 100] Generated Node #3: [120, 100] from Operation: 25*4=100 Current State: 20:[120, 100], Operations: ['46+74=120', '25*4=100'] Exploring Operation: 120-100=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 27, 15, 10, 51 ]
16
[ "51-27=24", "10*24=240", "240/15=16" ]
Current State: 16:[27, 15, 10, 51], Operations: [] Exploring Operation: 51-27=24, Resulting Numbers: [15, 10, 24] Generated Node #2: [15, 10, 24] from Operation: 51-27=24 Current State: 16:[15, 10, 24], Operations: ['51-27=24'] Exploring Operation: 10*24=240, Resulting Numbers: [15, 240] Generated Node #3: [15, 240] from Operation: 10*24=240 Current State: 16:[15, 240], Operations: ['51-27=24', '10*24=240'] Exploring Operation: 240/15=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 48, 15, 21, 2 ]
75
[ "48-15=33", "21*2=42", "33+42=75" ]
Current State: 75:[48, 15, 21, 2], Operations: [] Exploring Operation: 48-15=33, Resulting Numbers: [21, 2, 33] Generated Node #2: [21, 2, 33] from Operation: 48-15=33 Current State: 75:[21, 2, 33], Operations: ['48-15=33'] Exploring Operation: 21*2=42, Resulting Numbers: [33, 42] Generated Node #3: [33, 42] from Operation: 21*2=42 Current State: 75:[33, 42], Operations: ['48-15=33', '21*2=42'] Exploring Operation: 33+42=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 13, 50, 59, 12 ]
84
[ "50-13=37", "59-12=47", "37+47=84" ]
Current State: 84:[13, 50, 59, 12], Operations: [] Exploring Operation: 50-13=37, Resulting Numbers: [59, 12, 37] Generated Node #2: [59, 12, 37] from Operation: 50-13=37 Current State: 84:[59, 12, 37], Operations: ['50-13=37'] Exploring Operation: 59-12=47, Resulting Numbers: [37, 47] Generated Node #3: [37, 47] from Operation: 59-12=47 Current State: 84:[37, 47], Operations: ['50-13=37', '59-12=47'] Exploring Operation: 37+47=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 51, 10, 11, 7 ]
54
[ "10+11=21", "21/7=3", "51+3=54" ]
Current State: 54:[51, 10, 11, 7], Operations: [] Exploring Operation: 10+11=21, Resulting Numbers: [51, 7, 21] Generated Node #2: [51, 7, 21] from Operation: 10+11=21 Current State: 54:[51, 7, 21], Operations: ['10+11=21'] Exploring Operation: 21/7=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 21/7=3 Current State: 54:[51, 3], Operations: ['10+11=21', '21/7=3'] Exploring Operation: 51+3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 20, 28, 76, 27 ]
34
[ "28*27=756", "756-76=680", "680/20=34" ]
Current State: 34:[20, 28, 76, 27], Operations: [] Exploring Operation: 28*27=756, Resulting Numbers: [20, 76, 756] Generated Node #2: [20, 76, 756] from Operation: 28*27=756 Current State: 34:[20, 76, 756], Operations: ['28*27=756'] Exploring Operation: 756-76=680, Resulting Numbers: [20, 680] Generated Node #3: [20, 680] from Operation: 756-76=680 Current State: 34:[20, 680], Operations: ['28*27=756', '756-76=680'] Exploring Operation: 680/20=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 90, 88, 86, 88 ]
92
[ "88-86=2", "90*2=180", "180-88=92" ]
Current State: 92:[90, 88, 86, 88], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [90, 2] Generated Node #2: [90, 2] from Operation: 88-86=2 Current State: 92:[90, 2], Operations: ['88-86=2'] Exploring Operation: 90*2=180, Resulting Numbers: [180] 180,92 equal: Goal Reached Exploring Operation: 180-88=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 13, 23, 28, 17 ]
16
[ "17-13=4", "28/4=7", "23-7=16" ]
Current State: 16:[13, 23, 28, 17], Operations: [] Exploring Operation: 17-13=4, Resulting Numbers: [23, 28, 4] Generated Node #2: [23, 28, 4] from Operation: 17-13=4 Current State: 16:[23, 28, 4], Operations: ['17-13=4'] Exploring Operation: 28/4=7, Resulting Numbers: [23, 7] Generated Node #3: [23, 7] from Operation: 28/4=7 Current State: 16:[23, 7], Operations: ['17-13=4', '28/4=7'] Exploring Operation: 23-7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 90, 32, 76, 56 ]
78
[ "90-32=58", "76-56=20", "58+20=78" ]
Current State: 78:[90, 32, 76, 56], Operations: [] Exploring Operation: 90-32=58, Resulting Numbers: [76, 56, 58] Generated Node #2: [76, 56, 58] from Operation: 90-32=58 Current State: 78:[76, 56, 58], Operations: ['90-32=58'] Exploring Operation: 76-56=20, Resulting Numbers: [58, 20] Generated Node #3: [58, 20] from Operation: 76-56=20 Current State: 78:[58, 20], Operations: ['90-32=58', '76-56=20'] Exploring Operation: 58+20=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 63, 47, 71, 77 ]
38
[ "63+47=110", "71+77=148", "148-110=38" ]
Current State: 38:[63, 47, 71, 77], Operations: [] Exploring Operation: 63+47=110, Resulting Numbers: [71, 77, 110] Generated Node #2: [71, 77, 110] from Operation: 63+47=110 Current State: 38:[71, 77, 110], Operations: ['63+47=110'] Exploring Operation: 71+77=148, Resulting Numbers: [110, 148] Generated Node #3: [110, 148] from Operation: 71+77=148 Current State: 38:[110, 148], Operations: ['63+47=110', '71+77=148'] Exploring Operation: 148-110=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 33, 51, 92, 19 ]
65
[ "33*51=1683", "92*19=1748", "1748-1683=65" ]
Current State: 65:[33, 51, 92, 19], Operations: [] Exploring Operation: 33*51=1683, Resulting Numbers: [92, 19, 1683] Generated Node #2: [92, 19, 1683] from Operation: 33*51=1683 Current State: 65:[92, 19, 1683], Operations: ['33*51=1683'] Exploring Operation: 92*19=1748, Resulting Numbers: [1683, 1748] Generated Node #3: [1683, 1748] from Operation: 92*19=1748 Current State: 65:[1683, 1748], Operations: ['33*51=1683', '92*19=1748'] Exploring Operation: 1748-1683=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 48, 63, 55, 2 ]
44
[ "63-55=8", "8/2=4", "48-4=44" ]
Current State: 44:[48, 63, 55, 2], Operations: [] Exploring Operation: 63-55=8, Resulting Numbers: [48, 2, 8] Generated Node #2: [48, 2, 8] from Operation: 63-55=8 Current State: 44:[48, 2, 8], Operations: ['63-55=8'] Exploring Operation: 8/2=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 8/2=4 Current State: 44:[48, 4], Operations: ['63-55=8', '8/2=4'] Exploring Operation: 48-4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 44, 78, 2, 52 ]
69
[ "78-44=34", "34/2=17", "52+17=69" ]
Current State: 69:[44, 78, 2, 52], Operations: [] Exploring Operation: 78-44=34, Resulting Numbers: [2, 52, 34] Generated Node #2: [2, 52, 34] from Operation: 78-44=34 Current State: 69:[2, 52, 34], Operations: ['78-44=34'] Exploring Operation: 34/2=17, Resulting Numbers: [52, 17] Generated Node #3: [52, 17] from Operation: 34/2=17 Current State: 69:[52, 17], Operations: ['78-44=34', '34/2=17'] Exploring Operation: 52+17=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 31, 93, 64, 78 ]
11
[ "93/31=3", "78-64=14", "14-3=11" ]
Current State: 11:[31, 93, 64, 78], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [64, 78, 3] Generated Node #2: [64, 78, 3] from Operation: 93/31=3 Current State: 11:[64, 78, 3], Operations: ['93/31=3'] Exploring Operation: 78-64=14, Resulting Numbers: [3, 14] Generated Node #3: [3, 14] from Operation: 78-64=14 Current State: 11:[3, 14], Operations: ['93/31=3', '78-64=14'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 56, 52, 12 ]
28
[ "2*12=24", "56-52=4", "24+4=28" ]
Current State: 28:[2, 56, 52, 12], Operations: [] Exploring Operation: 2*12=24, Resulting Numbers: [56, 52, 24] Generated Node #2: [56, 52, 24] from Operation: 2*12=24 Current State: 28:[56, 52, 24], Operations: ['2*12=24'] Exploring Operation: 56-52=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 56-52=4 Current State: 28:[24, 4], Operations: ['2*12=24', '56-52=4'] Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 24, 54, 78, 35 ]
12
[ "35-24=11", "54+78=132", "132/11=12" ]
Current State: 12:[24, 54, 78, 35], Operations: [] Exploring Operation: 35-24=11, Resulting Numbers: [54, 78, 11] Generated Node #2: [54, 78, 11] from Operation: 35-24=11 Current State: 12:[54, 78, 11], Operations: ['35-24=11'] Exploring Operation: 54+78=132, Resulting Numbers: [11, 132] Generated Node #3: [11, 132] from Operation: 54+78=132 Current State: 12:[11, 132], Operations: ['35-24=11', '54+78=132'] Exploring Operation: 132/11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 81, 6, 10, 94 ]
70
[ "81+6=87", "94-87=7", "10*7=70" ]
Current State: 70:[81, 6, 10, 94], Operations: [] Exploring Operation: 81+6=87, Resulting Numbers: [10, 94, 87] Generated Node #2: [10, 94, 87] from Operation: 81+6=87 Current State: 70:[10, 94, 87], Operations: ['81+6=87'] Exploring Operation: 94-87=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 94-87=7 Current State: 70:[10, 7], Operations: ['81+6=87', '94-87=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 14, 2, 55, 34 ]
14
[ "14/2=7", "55-34=21", "21-7=14" ]
Current State: 14:[14, 2, 55, 34], Operations: [] Exploring Operation: 14/2=7, Resulting Numbers: [55, 34, 7] Generated Node #2: [55, 34, 7] from Operation: 14/2=7 Current State: 14:[55, 34, 7], Operations: ['14/2=7'] Exploring Operation: 55-34=21, Resulting Numbers: [7, 21] Generated Node #3: [7, 21] from Operation: 55-34=21 Current State: 14:[7, 21], Operations: ['14/2=7', '55-34=21'] Exploring Operation: 21-7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 51, 50, 48, 42 ]
90
[ "51-50=1", "48+42=90", "1*90=90" ]
Current State: 90:[51, 50, 48, 42], Operations: [] Exploring Operation: 51-50=1, Resulting Numbers: [48, 42, 1] Generated Node #2: [48, 42, 1] from Operation: 51-50=1 Current State: 90:[48, 42, 1], Operations: ['51-50=1'] Exploring Operation: 48+42=90, Resulting Numbers: [1, 90] Generated Node #3: [1, 90] from Operation: 48+42=90 Current State: 90:[1, 90], Operations: ['51-50=1', '48+42=90'] Exploring Operation: 1*90=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 52, 36, 77, 70 ]
59
[ "52+36=88", "77+70=147", "147-88=59" ]
Current State: 59:[52, 36, 77, 70], Operations: [] Exploring Operation: 52+36=88, Resulting Numbers: [77, 70, 88] Generated Node #2: [77, 70, 88] from Operation: 52+36=88 Current State: 59:[77, 70, 88], Operations: ['52+36=88'] Exploring Operation: 77+70=147, Resulting Numbers: [88, 147] Generated Node #3: [88, 147] from Operation: 77+70=147 Current State: 59:[88, 147], Operations: ['52+36=88', '77+70=147'] Exploring Operation: 147-88=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 5, 75, 11, 2 ]
63
[ "11-5=6", "2*6=12", "75-12=63" ]
Current State: 63:[5, 75, 11, 2], Operations: [] Exploring Operation: 11-5=6, Resulting Numbers: [75, 2, 6] Generated Node #2: [75, 2, 6] from Operation: 11-5=6 Current State: 63:[75, 2, 6], Operations: ['11-5=6'] Exploring Operation: 2*6=12, Resulting Numbers: [75, 12] Generated Node #3: [75, 12] from Operation: 2*6=12 Current State: 63:[75, 12], Operations: ['11-5=6', '2*6=12'] Exploring Operation: 75-12=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 92, 62, 99, 2 ]
67
[ "92-62=30", "99-2=97", "97-30=67" ]
Current State: 67:[92, 62, 99, 2], Operations: [] Exploring Operation: 92-62=30, Resulting Numbers: [99, 2, 30] Generated Node #2: [99, 2, 30] from Operation: 92-62=30 Current State: 67:[99, 2, 30], Operations: ['92-62=30'] Exploring Operation: 99-2=97, Resulting Numbers: [30, 97] Generated Node #3: [30, 97] from Operation: 99-2=97 Current State: 67:[30, 97], Operations: ['92-62=30', '99-2=97'] Exploring Operation: 97-30=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 88, 22, 37, 3 ]
10
[ "88/22=4", "37+3=40", "40/4=10" ]
Current State: 10:[88, 22, 37, 3], Operations: [] Exploring Operation: 88/22=4, Resulting Numbers: [37, 3, 4] Generated Node #2: [37, 3, 4] from Operation: 88/22=4 Current State: 10:[37, 3, 4], Operations: ['88/22=4'] Exploring Operation: 37+3=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 37+3=40 Current State: 10:[4, 40], Operations: ['88/22=4', '37+3=40'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 32, 15, 43, 53 ]
79
[ "32-15=17", "43+53=96", "96-17=79" ]
Current State: 79:[32, 15, 43, 53], Operations: [] Exploring Operation: 32-15=17, Resulting Numbers: [43, 53, 17] Generated Node #2: [43, 53, 17] from Operation: 32-15=17 Current State: 79:[43, 53, 17], Operations: ['32-15=17'] Exploring Operation: 43+53=96, Resulting Numbers: [17, 96] Generated Node #3: [17, 96] from Operation: 43+53=96 Current State: 79:[17, 96], Operations: ['32-15=17', '43+53=96'] Exploring Operation: 96-17=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 85, 39, 2, 50 ]
21
[ "85-39=46", "50/2=25", "46-25=21" ]
Current State: 21:[85, 39, 2, 50], Operations: [] Exploring Operation: 85-39=46, Resulting Numbers: [2, 50, 46] Generated Node #2: [2, 50, 46] from Operation: 85-39=46 Current State: 21:[2, 50, 46], Operations: ['85-39=46'] Exploring Operation: 50/2=25, Resulting Numbers: [46, 25] Generated Node #3: [46, 25] from Operation: 50/2=25 Current State: 21:[46, 25], Operations: ['85-39=46', '50/2=25'] Exploring Operation: 46-25=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 67, 53, 92, 19 ]
87
[ "67-53=14", "92-19=73", "14+73=87" ]
Current State: 87:[67, 53, 92, 19], Operations: [] Exploring Operation: 67-53=14, Resulting Numbers: [92, 19, 14] Generated Node #2: [92, 19, 14] from Operation: 67-53=14 Current State: 87:[92, 19, 14], Operations: ['67-53=14'] Exploring Operation: 92-19=73, Resulting Numbers: [14, 73] Generated Node #3: [14, 73] from Operation: 92-19=73 Current State: 87:[14, 73], Operations: ['67-53=14', '92-19=73'] Exploring Operation: 14+73=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 1, 31, 88, 17 ]
74
[ "1*31=31", "88+17=105", "105-31=74" ]
Current State: 74:[1, 31, 88, 17], Operations: [] Exploring Operation: 1*31=31, Resulting Numbers: [88, 17, 31] Generated Node #2: [88, 17, 31] from Operation: 1*31=31 Current State: 74:[88, 17, 31], Operations: ['1*31=31'] Exploring Operation: 88+17=105, Resulting Numbers: [31, 105] Generated Node #3: [31, 105] from Operation: 88+17=105 Current State: 74:[31, 105], Operations: ['1*31=31', '88+17=105'] Exploring Operation: 105-31=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 26, 77, 78, 12 ]
73
[ "78/26=3", "12/3=4", "77-4=73" ]
Current State: 73:[26, 77, 78, 12], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [77, 12, 3] Generated Node #2: [77, 12, 3] from Operation: 78/26=3 Current State: 73:[77, 12, 3], Operations: ['78/26=3'] Exploring Operation: 12/3=4, Resulting Numbers: [77, 4] Generated Node #3: [77, 4] from Operation: 12/3=4 Current State: 73:[77, 4], Operations: ['78/26=3', '12/3=4'] Exploring Operation: 77-4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 55, 4, 55, 10 ]
96
[ "55-4=51", "55-10=45", "51+45=96" ]
Current State: 96:[55, 4, 55, 10], Operations: [] Exploring Operation: 55-4=51, Resulting Numbers: [10, 51] Generated Node #2: [10, 51] from Operation: 55-4=51 Current State: 96:[10, 51], Operations: ['55-4=51'] Exploring Operation: 55-10=45, Resulting Numbers: [51, 45] Generated Node #3: [51, 45] from Operation: 55-10=45 Current State: 96:[51, 45], Operations: ['55-4=51', '55-10=45'] Exploring Operation: 51+45=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 3, 23, 71, 88 ]
18
[ "23+71=94", "94-88=6", "3*6=18" ]
Current State: 18:[3, 23, 71, 88], Operations: [] Exploring Operation: 23+71=94, Resulting Numbers: [3, 88, 94] Generated Node #2: [3, 88, 94] from Operation: 23+71=94 Current State: 18:[3, 88, 94], Operations: ['23+71=94'] Exploring Operation: 94-88=6, Resulting Numbers: [3, 6] Generated Node #3: [3, 6] from Operation: 94-88=6 Current State: 18:[3, 6], Operations: ['23+71=94', '94-88=6'] Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 20, 69, 23, 18 ]
17
[ "23-20=3", "69-18=51", "51/3=17" ]
Current State: 17:[20, 69, 23, 18], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [69, 18, 3] Generated Node #2: [69, 18, 3] from Operation: 23-20=3 Current State: 17:[69, 18, 3], Operations: ['23-20=3'] Exploring Operation: 69-18=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 69-18=51 Current State: 17:[3, 51], Operations: ['23-20=3', '69-18=51'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 71, 58, 52, 94 ]
81
[ "71*58=4118", "94+4118=4212", "4212/52=81" ]
Current State: 81:[71, 58, 52, 94], Operations: [] Exploring Operation: 71*58=4118, Resulting Numbers: [52, 94, 4118] Generated Node #2: [52, 94, 4118] from Operation: 71*58=4118 Current State: 81:[52, 94, 4118], Operations: ['71*58=4118'] Exploring Operation: 94+4118=4212, Resulting Numbers: [52, 4212] Generated Node #3: [52, 4212] from Operation: 94+4118=4212 Current State: 81:[52, 4212], Operations: ['71*58=4118', '94+4118=4212'] Exploring Operation: 4212/52=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 79, 23, 87, 6 ]
76
[ "23+6=29", "87/29=3", "79-3=76" ]
Current State: 76:[79, 23, 87, 6], Operations: [] Exploring Operation: 23+6=29, Resulting Numbers: [79, 87, 29] Generated Node #2: [79, 87, 29] from Operation: 23+6=29 Current State: 76:[79, 87, 29], Operations: ['23+6=29'] Exploring Operation: 87/29=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 87/29=3 Current State: 76:[79, 3], Operations: ['23+6=29', '87/29=3'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 8, 3, 32, 79 ]
67
[ "32/8=4", "3*4=12", "79-12=67" ]
Current State: 67:[8, 3, 32, 79], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [3, 79, 4] Generated Node #2: [3, 79, 4] from Operation: 32/8=4 Current State: 67:[3, 79, 4], Operations: ['32/8=4'] Exploring Operation: 3*4=12, Resulting Numbers: [79, 12] Generated Node #3: [79, 12] from Operation: 3*4=12 Current State: 67:[79, 12], Operations: ['32/8=4', '3*4=12'] Exploring Operation: 79-12=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 58, 23, 51, 59 ]
27
[ "58-23=35", "59-51=8", "35-8=27" ]
Current State: 27:[58, 23, 51, 59], Operations: [] Exploring Operation: 58-23=35, Resulting Numbers: [51, 59, 35] Generated Node #2: [51, 59, 35] from Operation: 58-23=35 Current State: 27:[51, 59, 35], Operations: ['58-23=35'] Exploring Operation: 59-51=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 59-51=8 Current State: 27:[35, 8], Operations: ['58-23=35', '59-51=8'] Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4