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
[ 66, 29, 13, 22 ]
11
[ "29-13=16", "22-16=6", "66/6=11" ]
Current State: 11:[66, 29, 13, 22], Operations: [] Exploring Operation: 29-13=16, Resulting Numbers: [66, 22, 16] Generated Node #2: [66, 22, 16] from Operation: 29-13=16 Current State: 11:[66, 22, 16], Operations: ['29-13=16'] Exploring Operation: 22-16=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 22-16=6 Current State: 11:[66, 6], Operations: ['29-13=16', '22-16=6'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 15, 36, 5, 81 ]
69
[ "15/5=3", "36/3=12", "81-12=69" ]
Current State: 69:[15, 36, 5, 81], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [36, 81, 3] Generated Node #2: [36, 81, 3] from Operation: 15/5=3 Current State: 69:[36, 81, 3], Operations: ['15/5=3'] Exploring Operation: 36/3=12, Resulting Numbers: [81, 12] Generated Node #3: [81, 12] from Operation: 36/3=12 Current State: 69:[81, 12], Operations: ['15/5=3', '36/3=12'] Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 8, 69, 68, 41 ]
48
[ "69-8=61", "68+41=109", "109-61=48" ]
Current State: 48:[8, 69, 68, 41], Operations: [] Exploring Operation: 69-8=61, Resulting Numbers: [68, 41, 61] Generated Node #2: [68, 41, 61] from Operation: 69-8=61 Current State: 48:[68, 41, 61], Operations: ['69-8=61'] Exploring Operation: 68+41=109, Resulting Numbers: [61, 109] Generated Node #3: [61, 109] from Operation: 68+41=109 Current State: 48:[61, 109], Operations: ['69-8=61', '68+41=109'] Exploring Operation: 109-61=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 48, 23, 66, 9 ]
93
[ "48+66=114", "23*9=207", "207-114=93" ]
Current State: 93:[48, 23, 66, 9], Operations: [] Exploring Operation: 48+66=114, Resulting Numbers: [23, 9, 114] Generated Node #2: [23, 9, 114] from Operation: 48+66=114 Current State: 93:[23, 9, 114], Operations: ['48+66=114'] Exploring Operation: 23*9=207, Resulting Numbers: [114, 207] Generated Node #3: [114, 207] from Operation: 23*9=207 Current State: 93:[114, 207], Operations: ['48+66=114', '23*9=207'] Exploring Operation: 207-114=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 3, 5, 2, 8 ]
77
[ "3+8=11", "5+2=7", "11*7=77" ]
Current State: 77:[3, 5, 2, 8], Operations: [] Exploring Operation: 3+8=11, Resulting Numbers: [5, 2, 11] Generated Node #2: [5, 2, 11] from Operation: 3+8=11 Current State: 77:[5, 2, 11], Operations: ['3+8=11'] Exploring Operation: 5+2=7, Resulting Numbers: [11, 7] Generated Node #3: [11, 7] from Operation: 5+2=7 Current State: 77:[11, 7], Operations: ['3+8=11', '5+2=7'] Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 20, 47, 12, 55 ]
16
[ "47-20=27", "55-12=43", "43-27=16" ]
Current State: 16:[20, 47, 12, 55], Operations: [] Exploring Operation: 47-20=27, Resulting Numbers: [12, 55, 27] Generated Node #2: [12, 55, 27] from Operation: 47-20=27 Current State: 16:[12, 55, 27], Operations: ['47-20=27'] Exploring Operation: 55-12=43, Resulting Numbers: [27, 43] Generated Node #3: [27, 43] from Operation: 55-12=43 Current State: 16:[27, 43], Operations: ['47-20=27', '55-12=43'] Exploring Operation: 43-27=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 95, 68, 72, 67 ]
32
[ "95-68=27", "72-67=5", "27+5=32" ]
Current State: 32:[95, 68, 72, 67], Operations: [] Exploring Operation: 95-68=27, Resulting Numbers: [72, 67, 27] Generated Node #2: [72, 67, 27] from Operation: 95-68=27 Current State: 32:[72, 67, 27], Operations: ['95-68=27'] Exploring Operation: 72-67=5, Resulting Numbers: [27, 5] Generated Node #3: [27, 5] from Operation: 72-67=5 Current State: 32:[27, 5], Operations: ['95-68=27', '72-67=5'] Exploring Operation: 27+5=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 81, 64, 55, 80 ]
42
[ "81-64=17", "80-55=25", "17+25=42" ]
Current State: 42:[81, 64, 55, 80], Operations: [] Exploring Operation: 81-64=17, Resulting Numbers: [55, 80, 17] Generated Node #2: [55, 80, 17] from Operation: 81-64=17 Current State: 42:[55, 80, 17], Operations: ['81-64=17'] Exploring Operation: 80-55=25, Resulting Numbers: [17, 25] Generated Node #3: [17, 25] from Operation: 80-55=25 Current State: 42:[17, 25], Operations: ['81-64=17', '80-55=25'] Exploring Operation: 17+25=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 84, 48, 4, 48 ]
75
[ "84/4=21", "48+48=96", "96-21=75" ]
Current State: 75:[84, 48, 4, 48], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [48, 48, 21] Generated Node #2: [48, 48, 21] from Operation: 84/4=21 Current State: 75:[48, 48, 21], Operations: ['84/4=21'] Exploring Operation: 48+48=96, Resulting Numbers: [21, 96] Generated Node #3: [21, 96] from Operation: 48+48=96 Current State: 75:[21, 96], Operations: ['84/4=21', '48+48=96'] Exploring Operation: 96-21=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 50, 12, 57, 77 ]
72
[ "50+12=62", "57+77=134", "134-62=72" ]
Current State: 72:[50, 12, 57, 77], Operations: [] Exploring Operation: 50+12=62, Resulting Numbers: [57, 77, 62] Generated Node #2: [57, 77, 62] from Operation: 50+12=62 Current State: 72:[57, 77, 62], Operations: ['50+12=62'] Exploring Operation: 57+77=134, Resulting Numbers: [62, 134] Generated Node #3: [62, 134] from Operation: 57+77=134 Current State: 72:[62, 134], Operations: ['50+12=62', '57+77=134'] Exploring Operation: 134-62=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 4, 68, 13, 94 ]
98
[ "68/4=17", "94-13=81", "17+81=98" ]
Current State: 98:[4, 68, 13, 94], Operations: [] Exploring Operation: 68/4=17, Resulting Numbers: [13, 94, 17] Generated Node #2: [13, 94, 17] from Operation: 68/4=17 Current State: 98:[13, 94, 17], Operations: ['68/4=17'] Exploring Operation: 94-13=81, Resulting Numbers: [17, 81] Generated Node #3: [17, 81] from Operation: 94-13=81 Current State: 98:[17, 81], Operations: ['68/4=17', '94-13=81'] Exploring Operation: 17+81=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 45, 97, 21, 86 ]
77
[ "45+97=142", "86-21=65", "142-65=77" ]
Current State: 77:[45, 97, 21, 86], Operations: [] Exploring Operation: 45+97=142, Resulting Numbers: [21, 86, 142] Generated Node #2: [21, 86, 142] from Operation: 45+97=142 Current State: 77:[21, 86, 142], Operations: ['45+97=142'] Exploring Operation: 86-21=65, Resulting Numbers: [142, 65] Generated Node #3: [142, 65] from Operation: 86-21=65 Current State: 77:[142, 65], Operations: ['45+97=142', '86-21=65'] Exploring Operation: 142-65=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 30, 8, 46, 2 ]
66
[ "30-8=22", "46-2=44", "22+44=66" ]
Current State: 66:[30, 8, 46, 2], Operations: [] Exploring Operation: 30-8=22, Resulting Numbers: [46, 2, 22] Generated Node #2: [46, 2, 22] from Operation: 30-8=22 Current State: 66:[46, 2, 22], Operations: ['30-8=22'] Exploring Operation: 46-2=44, Resulting Numbers: [22, 44] Generated Node #3: [22, 44] from Operation: 46-2=44 Current State: 66:[22, 44], Operations: ['30-8=22', '46-2=44'] Exploring Operation: 22+44=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 44, 20, 63, 41 ]
22
[ "63-20=43", "43-41=2", "44/2=22" ]
Current State: 22:[44, 20, 63, 41], Operations: [] Exploring Operation: 63-20=43, Resulting Numbers: [44, 41, 43] Generated Node #2: [44, 41, 43] from Operation: 63-20=43 Current State: 22:[44, 41, 43], Operations: ['63-20=43'] Exploring Operation: 43-41=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 43-41=2 Current State: 22:[44, 2], Operations: ['63-20=43', '43-41=2'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 41, 37, 3, 69 ]
49
[ "41+37=78", "69+78=147", "147/3=49" ]
Current State: 49:[41, 37, 3, 69], Operations: [] Exploring Operation: 41+37=78, Resulting Numbers: [3, 69, 78] Generated Node #2: [3, 69, 78] from Operation: 41+37=78 Current State: 49:[3, 69, 78], Operations: ['41+37=78'] Exploring Operation: 69+78=147, Resulting Numbers: [3, 147] Generated Node #3: [3, 147] from Operation: 69+78=147 Current State: 49:[3, 147], Operations: ['41+37=78', '69+78=147'] Exploring Operation: 147/3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 93, 3, 44, 6 ]
67
[ "93-44=49", "3*6=18", "49+18=67" ]
Current State: 67:[93, 3, 44, 6], Operations: [] Exploring Operation: 93-44=49, Resulting Numbers: [3, 6, 49] Generated Node #2: [3, 6, 49] from Operation: 93-44=49 Current State: 67:[3, 6, 49], Operations: ['93-44=49'] Exploring Operation: 3*6=18, Resulting Numbers: [49, 18] Generated Node #3: [49, 18] from Operation: 3*6=18 Current State: 67:[49, 18], Operations: ['93-44=49', '3*6=18'] Exploring Operation: 49+18=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 24, 2, 90, 25 ]
43
[ "24-2=22", "90-25=65", "65-22=43" ]
Current State: 43:[24, 2, 90, 25], Operations: [] Exploring Operation: 24-2=22, Resulting Numbers: [90, 25, 22] Generated Node #2: [90, 25, 22] from Operation: 24-2=22 Current State: 43:[90, 25, 22], Operations: ['24-2=22'] Exploring Operation: 90-25=65, Resulting Numbers: [22, 65] Generated Node #3: [22, 65] from Operation: 90-25=65 Current State: 43:[22, 65], Operations: ['24-2=22', '90-25=65'] Exploring Operation: 65-22=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 93, 76, 15, 56 ]
24
[ "93-76=17", "56-15=41", "41-17=24" ]
Current State: 24:[93, 76, 15, 56], Operations: [] Exploring Operation: 93-76=17, Resulting Numbers: [15, 56, 17] Generated Node #2: [15, 56, 17] from Operation: 93-76=17 Current State: 24:[15, 56, 17], Operations: ['93-76=17'] Exploring Operation: 56-15=41, Resulting Numbers: [17, 41] Generated Node #3: [17, 41] from Operation: 56-15=41 Current State: 24:[17, 41], Operations: ['93-76=17', '56-15=41'] Exploring Operation: 41-17=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 3, 44, 61, 12 ]
53
[ "3*12=36", "61-44=17", "36+17=53" ]
Current State: 53:[3, 44, 61, 12], Operations: [] Exploring Operation: 3*12=36, Resulting Numbers: [44, 61, 36] Generated Node #2: [44, 61, 36] from Operation: 3*12=36 Current State: 53:[44, 61, 36], Operations: ['3*12=36'] Exploring Operation: 61-44=17, Resulting Numbers: [36, 17] Generated Node #3: [36, 17] from Operation: 61-44=17 Current State: 53:[36, 17], Operations: ['3*12=36', '61-44=17'] Exploring Operation: 36+17=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 78, 4, 10, 86 ]
32
[ "86-78=8", "4*10=40", "40-8=32" ]
Current State: 32:[78, 4, 10, 86], Operations: [] Exploring Operation: 86-78=8, Resulting Numbers: [4, 10, 8] Generated Node #2: [4, 10, 8] from Operation: 86-78=8 Current State: 32:[4, 10, 8], Operations: ['86-78=8'] Exploring Operation: 4*10=40, Resulting Numbers: [8, 40] Generated Node #3: [8, 40] from Operation: 4*10=40 Current State: 32:[8, 40], Operations: ['86-78=8', '4*10=40'] Exploring Operation: 40-8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 80, 35, 28, 66 ]
77
[ "80+35=115", "66-28=38", "115-38=77" ]
Current State: 77:[80, 35, 28, 66], Operations: [] Exploring Operation: 80+35=115, Resulting Numbers: [28, 66, 115] Generated Node #2: [28, 66, 115] from Operation: 80+35=115 Current State: 77:[28, 66, 115], Operations: ['80+35=115'] Exploring Operation: 66-28=38, Resulting Numbers: [115, 38] Generated Node #3: [115, 38] from Operation: 66-28=38 Current State: 77:[115, 38], Operations: ['80+35=115', '66-28=38'] Exploring Operation: 115-38=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 82, 78, 78, 42 ]
90
[ "82-78=4", "42*4=168", "168-78=90" ]
Current State: 90:[82, 78, 78, 42], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [42, 4] Generated Node #2: [42, 4] from Operation: 82-78=4 Current State: 90:[42, 4], Operations: ['82-78=4'] Exploring Operation: 42*4=168, Resulting Numbers: [168] 168,90 equal: Goal Reached Exploring Operation: 168-78=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 83, 42, 6, 88 ]
31
[ "83+42=125", "6+88=94", "125-94=31" ]
Current State: 31:[83, 42, 6, 88], Operations: [] Exploring Operation: 83+42=125, Resulting Numbers: [6, 88, 125] Generated Node #2: [6, 88, 125] from Operation: 83+42=125 Current State: 31:[6, 88, 125], Operations: ['83+42=125'] Exploring Operation: 6+88=94, Resulting Numbers: [125, 94] Generated Node #3: [125, 94] from Operation: 6+88=94 Current State: 31:[125, 94], Operations: ['83+42=125', '6+88=94'] Exploring Operation: 125-94=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 72, 65, 22, 3 ]
73
[ "72-65=7", "22*3=66", "7+66=73" ]
Current State: 73:[72, 65, 22, 3], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [22, 3, 7] Generated Node #2: [22, 3, 7] from Operation: 72-65=7 Current State: 73:[22, 3, 7], Operations: ['72-65=7'] Exploring Operation: 22*3=66, Resulting Numbers: [7, 66] Generated Node #3: [7, 66] from Operation: 22*3=66 Current State: 73:[7, 66], Operations: ['72-65=7', '22*3=66'] Exploring Operation: 7+66=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 22, 2, 90, 42 ]
90
[ "42/2=21", "22-21=1", "90*1=90" ]
Current State: 90:[22, 2, 90, 42], Operations: [] Exploring Operation: 42/2=21, Resulting Numbers: [22, 90, 21] Generated Node #2: [22, 90, 21] from Operation: 42/2=21 Current State: 90:[22, 90, 21], Operations: ['42/2=21'] Exploring Operation: 22-21=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 22-21=1 Current State: 90:[90, 1], Operations: ['42/2=21', '22-21=1'] Exploring Operation: 90*1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 14, 99, 43, 22 ]
92
[ "14+99=113", "43-22=21", "113-21=92" ]
Current State: 92:[14, 99, 43, 22], Operations: [] Exploring Operation: 14+99=113, Resulting Numbers: [43, 22, 113] Generated Node #2: [43, 22, 113] from Operation: 14+99=113 Current State: 92:[43, 22, 113], Operations: ['14+99=113'] Exploring Operation: 43-22=21, Resulting Numbers: [113, 21] Generated Node #3: [113, 21] from Operation: 43-22=21 Current State: 92:[113, 21], Operations: ['14+99=113', '43-22=21'] Exploring Operation: 113-21=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 60, 6, 15, 42 ]
62
[ "6+15=21", "42/21=2", "60+2=62" ]
Current State: 62:[60, 6, 15, 42], Operations: [] Exploring Operation: 6+15=21, Resulting Numbers: [60, 42, 21] Generated Node #2: [60, 42, 21] from Operation: 6+15=21 Current State: 62:[60, 42, 21], Operations: ['6+15=21'] Exploring Operation: 42/21=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 42/21=2 Current State: 62:[60, 2], Operations: ['6+15=21', '42/21=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 8, 5, 56, 37 ]
39
[ "56/8=7", "37-5=32", "7+32=39" ]
Current State: 39:[8, 5, 56, 37], Operations: [] Exploring Operation: 56/8=7, Resulting Numbers: [5, 37, 7] Generated Node #2: [5, 37, 7] from Operation: 56/8=7 Current State: 39:[5, 37, 7], Operations: ['56/8=7'] Exploring Operation: 37-5=32, Resulting Numbers: [7, 32] Generated Node #3: [7, 32] from Operation: 37-5=32 Current State: 39:[7, 32], Operations: ['56/8=7', '37-5=32'] Exploring Operation: 7+32=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 87, 6, 57, 61 ]
58
[ "61-57=4", "87*4=348", "348/6=58" ]
Current State: 58:[87, 6, 57, 61], Operations: [] Exploring Operation: 61-57=4, Resulting Numbers: [87, 6, 4] Generated Node #2: [87, 6, 4] from Operation: 61-57=4 Current State: 58:[87, 6, 4], Operations: ['61-57=4'] Exploring Operation: 87*4=348, Resulting Numbers: [6, 348] Generated Node #3: [6, 348] from Operation: 87*4=348 Current State: 58:[6, 348], Operations: ['61-57=4', '87*4=348'] Exploring Operation: 348/6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 82, 28, 12, 87 ]
35
[ "82+28=110", "87-12=75", "110-75=35" ]
Current State: 35:[82, 28, 12, 87], Operations: [] Exploring Operation: 82+28=110, Resulting Numbers: [12, 87, 110] Generated Node #2: [12, 87, 110] from Operation: 82+28=110 Current State: 35:[12, 87, 110], Operations: ['82+28=110'] Exploring Operation: 87-12=75, Resulting Numbers: [110, 75] Generated Node #3: [110, 75] from Operation: 87-12=75 Current State: 35:[110, 75], Operations: ['82+28=110', '87-12=75'] Exploring Operation: 110-75=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 99, 86, 6, 25 ]
32
[ "99-86=13", "25-6=19", "13+19=32" ]
Current State: 32:[99, 86, 6, 25], Operations: [] Exploring Operation: 99-86=13, Resulting Numbers: [6, 25, 13] Generated Node #2: [6, 25, 13] from Operation: 99-86=13 Current State: 32:[6, 25, 13], Operations: ['99-86=13'] Exploring Operation: 25-6=19, Resulting Numbers: [13, 19] Generated Node #3: [13, 19] from Operation: 25-6=19 Current State: 32:[13, 19], Operations: ['99-86=13', '25-6=19'] Exploring Operation: 13+19=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 73, 17, 51, 99 ]
94
[ "73-17=56", "51+99=150", "150-56=94" ]
Current State: 94:[73, 17, 51, 99], Operations: [] Exploring Operation: 73-17=56, Resulting Numbers: [51, 99, 56] Generated Node #2: [51, 99, 56] from Operation: 73-17=56 Current State: 94:[51, 99, 56], Operations: ['73-17=56'] Exploring Operation: 51+99=150, Resulting Numbers: [56, 150] Generated Node #3: [56, 150] from Operation: 51+99=150 Current State: 94:[56, 150], Operations: ['73-17=56', '51+99=150'] Exploring Operation: 150-56=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 92, 34, 18, 37 ]
30
[ "92+34=126", "126/18=7", "37-7=30" ]
Current State: 30:[92, 34, 18, 37], Operations: [] Exploring Operation: 92+34=126, Resulting Numbers: [18, 37, 126] Generated Node #2: [18, 37, 126] from Operation: 92+34=126 Current State: 30:[18, 37, 126], Operations: ['92+34=126'] Exploring Operation: 126/18=7, Resulting Numbers: [37, 7] Generated Node #3: [37, 7] from Operation: 126/18=7 Current State: 30:[37, 7], Operations: ['92+34=126', '126/18=7'] Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 95, 52, 6, 72 ]
55
[ "95-52=43", "72/6=12", "43+12=55" ]
Current State: 55:[95, 52, 6, 72], Operations: [] Exploring Operation: 95-52=43, Resulting Numbers: [6, 72, 43] Generated Node #2: [6, 72, 43] from Operation: 95-52=43 Current State: 55:[6, 72, 43], Operations: ['95-52=43'] Exploring Operation: 72/6=12, Resulting Numbers: [43, 12] Generated Node #3: [43, 12] from Operation: 72/6=12 Current State: 55:[43, 12], Operations: ['95-52=43', '72/6=12'] Exploring Operation: 43+12=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 41, 36, 6, 55 ]
84
[ "55-41=14", "36/6=6", "14*6=84" ]
Current State: 84:[41, 36, 6, 55], Operations: [] Exploring Operation: 55-41=14, Resulting Numbers: [36, 6, 14] Generated Node #2: [36, 6, 14] from Operation: 55-41=14 Current State: 84:[36, 6, 14], Operations: ['55-41=14'] Exploring Operation: 36/6=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 36/6=6 Current State: 84:[14, 6], Operations: ['55-41=14', '36/6=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 72, 32, 88, 41 ]
46
[ "72+88=160", "160/32=5", "41+5=46" ]
Current State: 46:[72, 32, 88, 41], Operations: [] Exploring Operation: 72+88=160, Resulting Numbers: [32, 41, 160] Generated Node #2: [32, 41, 160] from Operation: 72+88=160 Current State: 46:[32, 41, 160], Operations: ['72+88=160'] Exploring Operation: 160/32=5, Resulting Numbers: [41, 5] Generated Node #3: [41, 5] from Operation: 160/32=5 Current State: 46:[41, 5], Operations: ['72+88=160', '160/32=5'] Exploring Operation: 41+5=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 5, 86, 17, 4 ]
16
[ "86-5=81", "81-17=64", "64/4=16" ]
Current State: 16:[5, 86, 17, 4], Operations: [] Exploring Operation: 86-5=81, Resulting Numbers: [17, 4, 81] Generated Node #2: [17, 4, 81] from Operation: 86-5=81 Current State: 16:[17, 4, 81], Operations: ['86-5=81'] Exploring Operation: 81-17=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 81-17=64 Current State: 16:[4, 64], Operations: ['86-5=81', '81-17=64'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 5, 6, 94, 2 ]
95
[ "6-5=1", "94+2=96", "96-1=95" ]
Current State: 95:[5, 6, 94, 2], Operations: [] Exploring Operation: 6-5=1, Resulting Numbers: [94, 2, 1] Generated Node #2: [94, 2, 1] from Operation: 6-5=1 Current State: 95:[94, 2, 1], Operations: ['6-5=1'] Exploring Operation: 94+2=96, Resulting Numbers: [1, 96] Generated Node #3: [1, 96] from Operation: 94+2=96 Current State: 95:[1, 96], Operations: ['6-5=1', '94+2=96'] Exploring Operation: 96-1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 49, 90, 83, 2 ]
79
[ "83-49=34", "90/2=45", "34+45=79" ]
Current State: 79:[49, 90, 83, 2], Operations: [] Exploring Operation: 83-49=34, Resulting Numbers: [90, 2, 34] Generated Node #2: [90, 2, 34] from Operation: 83-49=34 Current State: 79:[90, 2, 34], Operations: ['83-49=34'] Exploring Operation: 90/2=45, Resulting Numbers: [34, 45] Generated Node #3: [34, 45] from Operation: 90/2=45 Current State: 79:[34, 45], Operations: ['83-49=34', '90/2=45'] Exploring Operation: 34+45=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 34, 14, 17, 98 ]
58
[ "34+17=51", "98/14=7", "51+7=58" ]
Current State: 58:[34, 14, 17, 98], Operations: [] Exploring Operation: 34+17=51, Resulting Numbers: [14, 98, 51] Generated Node #2: [14, 98, 51] from Operation: 34+17=51 Current State: 58:[14, 98, 51], Operations: ['34+17=51'] Exploring Operation: 98/14=7, Resulting Numbers: [51, 7] Generated Node #3: [51, 7] from Operation: 98/14=7 Current State: 58:[51, 7], Operations: ['34+17=51', '98/14=7'] Exploring Operation: 51+7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 59, 3, 99, 86 ]
98
[ "99-86=13", "3*13=39", "59+39=98" ]
Current State: 98:[59, 3, 99, 86], Operations: [] Exploring Operation: 99-86=13, Resulting Numbers: [59, 3, 13] Generated Node #2: [59, 3, 13] from Operation: 99-86=13 Current State: 98:[59, 3, 13], Operations: ['99-86=13'] Exploring Operation: 3*13=39, Resulting Numbers: [59, 39] Generated Node #3: [59, 39] from Operation: 3*13=39 Current State: 98:[59, 39], Operations: ['99-86=13', '3*13=39'] Exploring Operation: 59+39=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 64, 93, 44, 28 ]
45
[ "93-64=29", "44-28=16", "29+16=45" ]
Current State: 45:[64, 93, 44, 28], Operations: [] Exploring Operation: 93-64=29, Resulting Numbers: [44, 28, 29] Generated Node #2: [44, 28, 29] from Operation: 93-64=29 Current State: 45:[44, 28, 29], Operations: ['93-64=29'] Exploring Operation: 44-28=16, Resulting Numbers: [29, 16] Generated Node #3: [29, 16] from Operation: 44-28=16 Current State: 45:[29, 16], Operations: ['93-64=29', '44-28=16'] Exploring Operation: 29+16=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 20, 14, 14, 33 ]
53
[ "20+14=34", "33-14=19", "34+19=53" ]
Current State: 53:[20, 14, 14, 33], Operations: [] Exploring Operation: 20+14=34, Resulting Numbers: [33, 34] Generated Node #2: [33, 34] from Operation: 20+14=34 Current State: 53:[33, 34], Operations: ['20+14=34'] Exploring Operation: 33-14=19, Resulting Numbers: [34, 19] Generated Node #3: [34, 19] from Operation: 33-14=19 Current State: 53:[34, 19], Operations: ['20+14=34', '33-14=19'] Exploring Operation: 34+19=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 83, 52, 32, 63 ]
63
[ "83-52=31", "32-31=1", "63*1=63" ]
Current State: 63:[83, 52, 32, 63], Operations: [] Exploring Operation: 83-52=31, Resulting Numbers: [32, 63, 31] Generated Node #2: [32, 63, 31] from Operation: 83-52=31 Current State: 63:[32, 63, 31], Operations: ['83-52=31'] Exploring Operation: 32-31=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 32-31=1 Current State: 63:[63, 1], Operations: ['83-52=31', '32-31=1'] Exploring Operation: 63*1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 97, 47, 18, 3 ]
30
[ "97+47=144", "144/3=48", "48-18=30" ]
Current State: 30:[97, 47, 18, 3], Operations: [] Exploring Operation: 97+47=144, Resulting Numbers: [18, 3, 144] Generated Node #2: [18, 3, 144] from Operation: 97+47=144 Current State: 30:[18, 3, 144], Operations: ['97+47=144'] Exploring Operation: 144/3=48, Resulting Numbers: [18, 48] Generated Node #3: [18, 48] from Operation: 144/3=48 Current State: 30:[18, 48], Operations: ['97+47=144', '144/3=48'] Exploring Operation: 48-18=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 72, 70, 58, 6 ]
26
[ "72-70=2", "58-6=52", "52/2=26" ]
Current State: 26:[72, 70, 58, 6], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [58, 6, 2] Generated Node #2: [58, 6, 2] from Operation: 72-70=2 Current State: 26:[58, 6, 2], Operations: ['72-70=2'] Exploring Operation: 58-6=52, Resulting Numbers: [2, 52] Generated Node #3: [2, 52] from Operation: 58-6=52 Current State: 26:[2, 52], Operations: ['72-70=2', '58-6=52'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 73, 5, 58, 92 ]
44
[ "73+5=78", "92-58=34", "78-34=44" ]
Current State: 44:[73, 5, 58, 92], Operations: [] Exploring Operation: 73+5=78, Resulting Numbers: [58, 92, 78] Generated Node #2: [58, 92, 78] from Operation: 73+5=78 Current State: 44:[58, 92, 78], Operations: ['73+5=78'] Exploring Operation: 92-58=34, Resulting Numbers: [78, 34] Generated Node #3: [78, 34] from Operation: 92-58=34 Current State: 44:[78, 34], Operations: ['73+5=78', '92-58=34'] Exploring Operation: 78-34=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 82, 72, 22, 26 ]
40
[ "82-72=10", "26-22=4", "10*4=40" ]
Current State: 40:[82, 72, 22, 26], Operations: [] Exploring Operation: 82-72=10, Resulting Numbers: [22, 26, 10] Generated Node #2: [22, 26, 10] from Operation: 82-72=10 Current State: 40:[22, 26, 10], Operations: ['82-72=10'] Exploring Operation: 26-22=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 26-22=4 Current State: 40:[10, 4], Operations: ['82-72=10', '26-22=4'] Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 33, 34, 55, 41 ]
96
[ "34-33=1", "55+41=96", "1*96=96" ]
Current State: 96:[33, 34, 55, 41], Operations: [] Exploring Operation: 34-33=1, Resulting Numbers: [55, 41, 1] Generated Node #2: [55, 41, 1] from Operation: 34-33=1 Current State: 96:[55, 41, 1], Operations: ['34-33=1'] Exploring Operation: 55+41=96, Resulting Numbers: [1, 96] Generated Node #3: [1, 96] from Operation: 55+41=96 Current State: 96:[1, 96], Operations: ['34-33=1', '55+41=96'] Exploring Operation: 1*96=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 15, 49, 57, 37 ]
83
[ "57-49=8", "15*8=120", "120-37=83" ]
Current State: 83:[15, 49, 57, 37], Operations: [] Exploring Operation: 57-49=8, Resulting Numbers: [15, 37, 8] Generated Node #2: [15, 37, 8] from Operation: 57-49=8 Current State: 83:[15, 37, 8], Operations: ['57-49=8'] Exploring Operation: 15*8=120, Resulting Numbers: [37, 120] Generated Node #3: [37, 120] from Operation: 15*8=120 Current State: 83:[37, 120], Operations: ['57-49=8', '15*8=120'] Exploring Operation: 120-37=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 97, 99, 98, 66 ]
68
[ "97+99=196", "196/98=2", "66+2=68" ]
Current State: 68:[97, 99, 98, 66], Operations: [] Exploring Operation: 97+99=196, Resulting Numbers: [98, 66, 196] Generated Node #2: [98, 66, 196] from Operation: 97+99=196 Current State: 68:[98, 66, 196], Operations: ['97+99=196'] Exploring Operation: 196/98=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 196/98=2 Current State: 68:[66, 2], Operations: ['97+99=196', '196/98=2'] Exploring Operation: 66+2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 25, 1, 14, 74 ]
86
[ "25+1=26", "74-14=60", "26+60=86" ]
Current State: 86:[25, 1, 14, 74], Operations: [] Exploring Operation: 25+1=26, Resulting Numbers: [14, 74, 26] Generated Node #2: [14, 74, 26] from Operation: 25+1=26 Current State: 86:[14, 74, 26], Operations: ['25+1=26'] Exploring Operation: 74-14=60, Resulting Numbers: [26, 60] Generated Node #3: [26, 60] from Operation: 74-14=60 Current State: 86:[26, 60], Operations: ['25+1=26', '74-14=60'] Exploring Operation: 26+60=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 94, 11, 70, 51 ]
34
[ "94+11=105", "70*51=3570", "3570/105=34" ]
Current State: 34:[94, 11, 70, 51], Operations: [] Exploring Operation: 94+11=105, Resulting Numbers: [70, 51, 105] Generated Node #2: [70, 51, 105] from Operation: 94+11=105 Current State: 34:[70, 51, 105], Operations: ['94+11=105'] Exploring Operation: 70*51=3570, Resulting Numbers: [105, 3570] Generated Node #3: [105, 3570] from Operation: 70*51=3570 Current State: 34:[105, 3570], Operations: ['94+11=105', '70*51=3570'] Exploring Operation: 3570/105=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 21, 9, 24, 41 ]
68
[ "24-21=3", "9*3=27", "41+27=68" ]
Current State: 68:[21, 9, 24, 41], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [9, 41, 3] Generated Node #2: [9, 41, 3] from Operation: 24-21=3 Current State: 68:[9, 41, 3], Operations: ['24-21=3'] Exploring Operation: 9*3=27, Resulting Numbers: [41, 27] Generated Node #3: [41, 27] from Operation: 9*3=27 Current State: 68:[41, 27], Operations: ['24-21=3', '9*3=27'] Exploring Operation: 41+27=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 12, 24, 63, 56 ]
83
[ "12+24=36", "63+56=119", "119-36=83" ]
Current State: 83:[12, 24, 63, 56], Operations: [] Exploring Operation: 12+24=36, Resulting Numbers: [63, 56, 36] Generated Node #2: [63, 56, 36] from Operation: 12+24=36 Current State: 83:[63, 56, 36], Operations: ['12+24=36'] Exploring Operation: 63+56=119, Resulting Numbers: [36, 119] Generated Node #3: [36, 119] from Operation: 63+56=119 Current State: 83:[36, 119], Operations: ['12+24=36', '63+56=119'] Exploring Operation: 119-36=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 80, 54, 58, 5 ]
15
[ "58-54=4", "80/4=20", "20-5=15" ]
Current State: 15:[80, 54, 58, 5], Operations: [] Exploring Operation: 58-54=4, Resulting Numbers: [80, 5, 4] Generated Node #2: [80, 5, 4] from Operation: 58-54=4 Current State: 15:[80, 5, 4], Operations: ['58-54=4'] Exploring Operation: 80/4=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 80/4=20 Current State: 15:[5, 20], Operations: ['58-54=4', '80/4=20'] Exploring Operation: 20-5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 30, 97, 18, 4 ]
49
[ "30-18=12", "4*12=48", "97-48=49" ]
Current State: 49:[30, 97, 18, 4], Operations: [] Exploring Operation: 30-18=12, Resulting Numbers: [97, 4, 12] Generated Node #2: [97, 4, 12] from Operation: 30-18=12 Current State: 49:[97, 4, 12], Operations: ['30-18=12'] Exploring Operation: 4*12=48, Resulting Numbers: [97, 48] Generated Node #3: [97, 48] from Operation: 4*12=48 Current State: 49:[97, 48], Operations: ['30-18=12', '4*12=48'] Exploring Operation: 97-48=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 19, 59, 82, 29 ]
71
[ "59-19=40", "82+29=111", "111-40=71" ]
Current State: 71:[19, 59, 82, 29], Operations: [] Exploring Operation: 59-19=40, Resulting Numbers: [82, 29, 40] Generated Node #2: [82, 29, 40] from Operation: 59-19=40 Current State: 71:[82, 29, 40], Operations: ['59-19=40'] Exploring Operation: 82+29=111, Resulting Numbers: [40, 111] Generated Node #3: [40, 111] from Operation: 82+29=111 Current State: 71:[40, 111], Operations: ['59-19=40', '82+29=111'] Exploring Operation: 111-40=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 58, 8, 37, 64 ]
87
[ "58+37=95", "64/8=8", "95-8=87" ]
Current State: 87:[58, 8, 37, 64], Operations: [] Exploring Operation: 58+37=95, Resulting Numbers: [8, 64, 95] Generated Node #2: [8, 64, 95] from Operation: 58+37=95 Current State: 87:[8, 64, 95], Operations: ['58+37=95'] Exploring Operation: 64/8=8, Resulting Numbers: [95, 8] Generated Node #3: [95, 8] from Operation: 64/8=8 Current State: 87:[95, 8], Operations: ['58+37=95', '64/8=8'] Exploring Operation: 95-8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 22, 64, 31, 62 ]
40
[ "64-22=42", "62/31=2", "42-2=40" ]
Current State: 40:[22, 64, 31, 62], Operations: [] Exploring Operation: 64-22=42, Resulting Numbers: [31, 62, 42] Generated Node #2: [31, 62, 42] from Operation: 64-22=42 Current State: 40:[31, 62, 42], Operations: ['64-22=42'] Exploring Operation: 62/31=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 62/31=2 Current State: 40:[42, 2], Operations: ['64-22=42', '62/31=2'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 52, 30, 34, 2 ]
71
[ "52+34=86", "30/2=15", "86-15=71" ]
Current State: 71:[52, 30, 34, 2], Operations: [] Exploring Operation: 52+34=86, Resulting Numbers: [30, 2, 86] Generated Node #2: [30, 2, 86] from Operation: 52+34=86 Current State: 71:[30, 2, 86], Operations: ['52+34=86'] Exploring Operation: 30/2=15, Resulting Numbers: [86, 15] Generated Node #3: [86, 15] from Operation: 30/2=15 Current State: 71:[86, 15], Operations: ['52+34=86', '30/2=15'] Exploring Operation: 86-15=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 12, 91, 35, 59 ]
79
[ "12+91=103", "59-35=24", "103-24=79" ]
Current State: 79:[12, 91, 35, 59], Operations: [] Exploring Operation: 12+91=103, Resulting Numbers: [35, 59, 103] Generated Node #2: [35, 59, 103] from Operation: 12+91=103 Current State: 79:[35, 59, 103], Operations: ['12+91=103'] Exploring Operation: 59-35=24, Resulting Numbers: [103, 24] Generated Node #3: [103, 24] from Operation: 59-35=24 Current State: 79:[103, 24], Operations: ['12+91=103', '59-35=24'] Exploring Operation: 103-24=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 73, 72, 69, 8 ]
76
[ "73-72=1", "69+8=77", "77-1=76" ]
Current State: 76:[73, 72, 69, 8], Operations: [] Exploring Operation: 73-72=1, Resulting Numbers: [69, 8, 1] Generated Node #2: [69, 8, 1] from Operation: 73-72=1 Current State: 76:[69, 8, 1], Operations: ['73-72=1'] Exploring Operation: 69+8=77, Resulting Numbers: [1, 77] Generated Node #3: [1, 77] from Operation: 69+8=77 Current State: 76:[1, 77], Operations: ['73-72=1', '69+8=77'] Exploring Operation: 77-1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 45, 90, 30, 33 ]
27
[ "90/45=2", "30*2=60", "60-33=27" ]
Current State: 27:[45, 90, 30, 33], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [30, 33, 2] Generated Node #2: [30, 33, 2] from Operation: 90/45=2 Current State: 27:[30, 33, 2], Operations: ['90/45=2'] Exploring Operation: 30*2=60, Resulting Numbers: [33, 60] Generated Node #3: [33, 60] from Operation: 30*2=60 Current State: 27:[33, 60], Operations: ['90/45=2', '30*2=60'] Exploring Operation: 60-33=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 91, 6, 3, 90 ]
19
[ "91-90=1", "6*3=18", "1+18=19" ]
Current State: 19:[91, 6, 3, 90], Operations: [] Exploring Operation: 91-90=1, Resulting Numbers: [6, 3, 1] Generated Node #2: [6, 3, 1] from Operation: 91-90=1 Current State: 19:[6, 3, 1], Operations: ['91-90=1'] Exploring Operation: 6*3=18, Resulting Numbers: [1, 18] Generated Node #3: [1, 18] from Operation: 6*3=18 Current State: 19:[1, 18], Operations: ['91-90=1', '6*3=18'] Exploring Operation: 1+18=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 72, 38, 14, 48 ]
71
[ "72*38=2736", "2736/48=57", "14+57=71" ]
Current State: 71:[72, 38, 14, 48], Operations: [] Exploring Operation: 72*38=2736, Resulting Numbers: [14, 48, 2736] Generated Node #2: [14, 48, 2736] from Operation: 72*38=2736 Current State: 71:[14, 48, 2736], Operations: ['72*38=2736'] Exploring Operation: 2736/48=57, Resulting Numbers: [14, 57] Generated Node #3: [14, 57] from Operation: 2736/48=57 Current State: 71:[14, 57], Operations: ['72*38=2736', '2736/48=57'] Exploring Operation: 14+57=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 9, 99, 82, 57 ]
14
[ "99/9=11", "82-57=25", "25-11=14" ]
Current State: 14:[9, 99, 82, 57], Operations: [] Exploring Operation: 99/9=11, Resulting Numbers: [82, 57, 11] Generated Node #2: [82, 57, 11] from Operation: 99/9=11 Current State: 14:[82, 57, 11], Operations: ['99/9=11'] Exploring Operation: 82-57=25, Resulting Numbers: [11, 25] Generated Node #3: [11, 25] from Operation: 82-57=25 Current State: 14:[11, 25], Operations: ['99/9=11', '82-57=25'] Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 55, 43, 72, 16 ]
56
[ "43*72=3096", "3096-16=3080", "3080/55=56" ]
Current State: 56:[55, 43, 72, 16], Operations: [] Exploring Operation: 43*72=3096, Resulting Numbers: [55, 16, 3096] Generated Node #2: [55, 16, 3096] from Operation: 43*72=3096 Current State: 56:[55, 16, 3096], Operations: ['43*72=3096'] Exploring Operation: 3096-16=3080, Resulting Numbers: [55, 3080] Generated Node #3: [55, 3080] from Operation: 3096-16=3080 Current State: 56:[55, 3080], Operations: ['43*72=3096', '3096-16=3080'] Exploring Operation: 3080/55=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 7, 10, 61, 89 ]
84
[ "10-7=3", "89-61=28", "3*28=84" ]
Current State: 84:[7, 10, 61, 89], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [61, 89, 3] Generated Node #2: [61, 89, 3] from Operation: 10-7=3 Current State: 84:[61, 89, 3], Operations: ['10-7=3'] Exploring Operation: 89-61=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 89-61=28 Current State: 84:[3, 28], Operations: ['10-7=3', '89-61=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 52, 23, 99, 72 ]
56
[ "52-23=29", "99-72=27", "29+27=56" ]
Current State: 56:[52, 23, 99, 72], Operations: [] Exploring Operation: 52-23=29, Resulting Numbers: [99, 72, 29] Generated Node #2: [99, 72, 29] from Operation: 52-23=29 Current State: 56:[99, 72, 29], Operations: ['52-23=29'] Exploring Operation: 99-72=27, Resulting Numbers: [29, 27] Generated Node #3: [29, 27] from Operation: 99-72=27 Current State: 56:[29, 27], Operations: ['52-23=29', '99-72=27'] Exploring Operation: 29+27=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 9, 8, 60, 55 ]
100
[ "9*60=540", "8*55=440", "540-440=100" ]
Current State: 100:[9, 8, 60, 55], Operations: [] Exploring Operation: 9*60=540, Resulting Numbers: [8, 55, 540] Generated Node #2: [8, 55, 540] from Operation: 9*60=540 Current State: 100:[8, 55, 540], Operations: ['9*60=540'] Exploring Operation: 8*55=440, Resulting Numbers: [540, 440] Generated Node #3: [540, 440] from Operation: 8*55=440 Current State: 100:[540, 440], Operations: ['9*60=540', '8*55=440'] Exploring Operation: 540-440=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 65, 4, 2, 54 ]
72
[ "65*2=130", "4+54=58", "130-58=72" ]
Current State: 72:[65, 4, 2, 54], Operations: [] Exploring Operation: 65*2=130, Resulting Numbers: [4, 54, 130] Generated Node #2: [4, 54, 130] from Operation: 65*2=130 Current State: 72:[4, 54, 130], Operations: ['65*2=130'] Exploring Operation: 4+54=58, Resulting Numbers: [130, 58] Generated Node #3: [130, 58] from Operation: 4+54=58 Current State: 72:[130, 58], Operations: ['65*2=130', '4+54=58'] Exploring Operation: 130-58=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 62, 54, 83, 70 ]
94
[ "62*83=5146", "5146-70=5076", "5076/54=94" ]
Current State: 94:[62, 54, 83, 70], Operations: [] Exploring Operation: 62*83=5146, Resulting Numbers: [54, 70, 5146] Generated Node #2: [54, 70, 5146] from Operation: 62*83=5146 Current State: 94:[54, 70, 5146], Operations: ['62*83=5146'] Exploring Operation: 5146-70=5076, Resulting Numbers: [54, 5076] Generated Node #3: [54, 5076] from Operation: 5146-70=5076 Current State: 94:[54, 5076], Operations: ['62*83=5146', '5146-70=5076'] Exploring Operation: 5076/54=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 97, 15, 4, 14 ]
17
[ "97-15=82", "82-14=68", "68/4=17" ]
Current State: 17:[97, 15, 4, 14], Operations: [] Exploring Operation: 97-15=82, Resulting Numbers: [4, 14, 82] Generated Node #2: [4, 14, 82] from Operation: 97-15=82 Current State: 17:[4, 14, 82], Operations: ['97-15=82'] Exploring Operation: 82-14=68, Resulting Numbers: [4, 68] Generated Node #3: [4, 68] from Operation: 82-14=68 Current State: 17:[4, 68], Operations: ['97-15=82', '82-14=68'] Exploring Operation: 68/4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 48, 18, 24, 87 ]
78
[ "48/24=2", "18/2=9", "87-9=78" ]
Current State: 78:[48, 18, 24, 87], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [18, 87, 2] Generated Node #2: [18, 87, 2] from Operation: 48/24=2 Current State: 78:[18, 87, 2], Operations: ['48/24=2'] Exploring Operation: 18/2=9, Resulting Numbers: [87, 9] Generated Node #3: [87, 9] from Operation: 18/2=9 Current State: 78:[87, 9], Operations: ['48/24=2', '18/2=9'] Exploring Operation: 87-9=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 48, 76, 12, 92 ]
20
[ "48+76=124", "12+92=104", "124-104=20" ]
Current State: 20:[48, 76, 12, 92], Operations: [] Exploring Operation: 48+76=124, Resulting Numbers: [12, 92, 124] Generated Node #2: [12, 92, 124] from Operation: 48+76=124 Current State: 20:[12, 92, 124], Operations: ['48+76=124'] Exploring Operation: 12+92=104, Resulting Numbers: [124, 104] Generated Node #3: [124, 104] from Operation: 12+92=104 Current State: 20:[124, 104], Operations: ['48+76=124', '12+92=104'] Exploring Operation: 124-104=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 44, 59, 32, 7 ]
54
[ "59-44=15", "32+7=39", "15+39=54" ]
Current State: 54:[44, 59, 32, 7], Operations: [] Exploring Operation: 59-44=15, Resulting Numbers: [32, 7, 15] Generated Node #2: [32, 7, 15] from Operation: 59-44=15 Current State: 54:[32, 7, 15], Operations: ['59-44=15'] Exploring Operation: 32+7=39, Resulting Numbers: [15, 39] Generated Node #3: [15, 39] from Operation: 32+7=39 Current State: 54:[15, 39], Operations: ['59-44=15', '32+7=39'] Exploring Operation: 15+39=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 98, 82, 90, 30 ]
16
[ "98+30=128", "90-82=8", "128/8=16" ]
Current State: 16:[98, 82, 90, 30], Operations: [] Exploring Operation: 98+30=128, Resulting Numbers: [82, 90, 128] Generated Node #2: [82, 90, 128] from Operation: 98+30=128 Current State: 16:[82, 90, 128], Operations: ['98+30=128'] Exploring Operation: 90-82=8, Resulting Numbers: [128, 8] Generated Node #3: [128, 8] from Operation: 90-82=8 Current State: 16:[128, 8], Operations: ['98+30=128', '90-82=8'] Exploring Operation: 128/8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 49, 2, 67, 64 ]
48
[ "49+2=51", "67-64=3", "51-3=48" ]
Current State: 48:[49, 2, 67, 64], Operations: [] Exploring Operation: 49+2=51, Resulting Numbers: [67, 64, 51] Generated Node #2: [67, 64, 51] from Operation: 49+2=51 Current State: 48:[67, 64, 51], Operations: ['49+2=51'] Exploring Operation: 67-64=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 67-64=3 Current State: 48:[51, 3], Operations: ['49+2=51', '67-64=3'] Exploring Operation: 51-3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 92, 34, 68, 88 ]
68
[ "92-88=4", "34*4=136", "136-68=68" ]
Current State: 68:[92, 34, 68, 88], Operations: [] Exploring Operation: 92-88=4, Resulting Numbers: [34, 68, 4] Generated Node #2: [34, 68, 4] from Operation: 92-88=4 Current State: 68:[34, 68, 4], Operations: ['92-88=4'] Exploring Operation: 34*4=136, Resulting Numbers: [68, 136] Generated Node #3: [68, 136] from Operation: 34*4=136 Current State: 68:[68, 136], Operations: ['92-88=4', '34*4=136'] Exploring Operation: 136-68=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 18, 61, 26, 99 ]
82
[ "61-18=43", "26+99=125", "125-43=82" ]
Current State: 82:[18, 61, 26, 99], Operations: [] Exploring Operation: 61-18=43, Resulting Numbers: [26, 99, 43] Generated Node #2: [26, 99, 43] from Operation: 61-18=43 Current State: 82:[26, 99, 43], Operations: ['61-18=43'] Exploring Operation: 26+99=125, Resulting Numbers: [43, 125] Generated Node #3: [43, 125] from Operation: 26+99=125 Current State: 82:[43, 125], Operations: ['61-18=43', '26+99=125'] Exploring Operation: 125-43=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 60, 34, 82, 4 ]
41
[ "34-4=30", "60/30=2", "82/2=41" ]
Current State: 41:[60, 34, 82, 4], Operations: [] Exploring Operation: 34-4=30, Resulting Numbers: [60, 82, 30] Generated Node #2: [60, 82, 30] from Operation: 34-4=30 Current State: 41:[60, 82, 30], Operations: ['34-4=30'] Exploring Operation: 60/30=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 60/30=2 Current State: 41:[82, 2], Operations: ['34-4=30', '60/30=2'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 60, 98, 10, 28 ]
25
[ "98*10=980", "980/28=35", "60-35=25" ]
Current State: 25:[60, 98, 10, 28], Operations: [] Exploring Operation: 98*10=980, Resulting Numbers: [60, 28, 980] Generated Node #2: [60, 28, 980] from Operation: 98*10=980 Current State: 25:[60, 28, 980], Operations: ['98*10=980'] Exploring Operation: 980/28=35, Resulting Numbers: [60, 35] Generated Node #3: [60, 35] from Operation: 980/28=35 Current State: 25:[60, 35], Operations: ['98*10=980', '980/28=35'] Exploring Operation: 60-35=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 76, 74, 81, 17 ]
96
[ "76-74=2", "81+17=98", "98-2=96" ]
Current State: 96:[76, 74, 81, 17], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [81, 17, 2] Generated Node #2: [81, 17, 2] from Operation: 76-74=2 Current State: 96:[81, 17, 2], Operations: ['76-74=2'] Exploring Operation: 81+17=98, Resulting Numbers: [2, 98] Generated Node #3: [2, 98] from Operation: 81+17=98 Current State: 96:[2, 98], Operations: ['76-74=2', '81+17=98'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 75, 55, 46 ]
42
[ "55-46=9", "13*9=117", "117-75=42" ]
Current State: 42:[13, 75, 55, 46], Operations: [] Exploring Operation: 55-46=9, Resulting Numbers: [13, 75, 9] Generated Node #2: [13, 75, 9] from Operation: 55-46=9 Current State: 42:[13, 75, 9], Operations: ['55-46=9'] Exploring Operation: 13*9=117, Resulting Numbers: [75, 117] Generated Node #3: [75, 117] from Operation: 13*9=117 Current State: 42:[75, 117], Operations: ['55-46=9', '13*9=117'] Exploring Operation: 117-75=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 2, 98, 58, 83 ]
65
[ "2*58=116", "98+83=181", "181-116=65" ]
Current State: 65:[2, 98, 58, 83], Operations: [] Exploring Operation: 2*58=116, Resulting Numbers: [98, 83, 116] Generated Node #2: [98, 83, 116] from Operation: 2*58=116 Current State: 65:[98, 83, 116], Operations: ['2*58=116'] Exploring Operation: 98+83=181, Resulting Numbers: [116, 181] Generated Node #3: [116, 181] from Operation: 98+83=181 Current State: 65:[116, 181], Operations: ['2*58=116', '98+83=181'] Exploring Operation: 181-116=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 67, 60, 90, 7 ]
41
[ "67-60=7", "7*7=49", "90-49=41" ]
Current State: 41:[67, 60, 90, 7], Operations: [] Exploring Operation: 67-60=7, Resulting Numbers: [90, 7, 7] Generated Node #2: [90, 7, 7] from Operation: 67-60=7 Current State: 41:[90, 7, 7], Operations: ['67-60=7'] Exploring Operation: 7*7=49, Resulting Numbers: [90, 49] Generated Node #3: [90, 49] from Operation: 7*7=49 Current State: 41:[90, 49], Operations: ['67-60=7', '7*7=49'] Exploring Operation: 90-49=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 32, 9, 96, 27 ]
61
[ "96-32=64", "27/9=3", "64-3=61" ]
Current State: 61:[32, 9, 96, 27], Operations: [] Exploring Operation: 96-32=64, Resulting Numbers: [9, 27, 64] Generated Node #2: [9, 27, 64] from Operation: 96-32=64 Current State: 61:[9, 27, 64], Operations: ['96-32=64'] Exploring Operation: 27/9=3, Resulting Numbers: [64, 3] Generated Node #3: [64, 3] from Operation: 27/9=3 Current State: 61:[64, 3], Operations: ['96-32=64', '27/9=3'] Exploring Operation: 64-3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 21, 85, 34, 3 ]
27
[ "85-21=64", "34+3=37", "64-37=27" ]
Current State: 27:[21, 85, 34, 3], Operations: [] Exploring Operation: 85-21=64, Resulting Numbers: [34, 3, 64] Generated Node #2: [34, 3, 64] from Operation: 85-21=64 Current State: 27:[34, 3, 64], Operations: ['85-21=64'] Exploring Operation: 34+3=37, Resulting Numbers: [64, 37] Generated Node #3: [64, 37] from Operation: 34+3=37 Current State: 27:[64, 37], Operations: ['85-21=64', '34+3=37'] Exploring Operation: 64-37=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 67, 83, 32, 10 ]
12
[ "83-67=16", "32/16=2", "10+2=12" ]
Current State: 12:[67, 83, 32, 10], Operations: [] Exploring Operation: 83-67=16, Resulting Numbers: [32, 10, 16] Generated Node #2: [32, 10, 16] from Operation: 83-67=16 Current State: 12:[32, 10, 16], Operations: ['83-67=16'] Exploring Operation: 32/16=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 32/16=2 Current State: 12:[10, 2], Operations: ['83-67=16', '32/16=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 34, 12, 22, 37 ]
30
[ "37-34=3", "22-12=10", "3*10=30" ]
Current State: 30:[34, 12, 22, 37], Operations: [] Exploring Operation: 37-34=3, Resulting Numbers: [12, 22, 3] Generated Node #2: [12, 22, 3] from Operation: 37-34=3 Current State: 30:[12, 22, 3], Operations: ['37-34=3'] Exploring Operation: 22-12=10, Resulting Numbers: [3, 10] Generated Node #3: [3, 10] from Operation: 22-12=10 Current State: 30:[3, 10], Operations: ['37-34=3', '22-12=10'] Exploring Operation: 3*10=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 14, 82, 25, 13 ]
57
[ "14-13=1", "82-25=57", "1*57=57" ]
Current State: 57:[14, 82, 25, 13], Operations: [] Exploring Operation: 14-13=1, Resulting Numbers: [82, 25, 1] Generated Node #2: [82, 25, 1] from Operation: 14-13=1 Current State: 57:[82, 25, 1], Operations: ['14-13=1'] Exploring Operation: 82-25=57, Resulting Numbers: [1, 57] Generated Node #3: [1, 57] from Operation: 82-25=57 Current State: 57:[1, 57], Operations: ['14-13=1', '82-25=57'] Exploring Operation: 1*57=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 83, 53, 83, 75 ]
38
[ "83-53=30", "83-75=8", "30+8=38" ]
Current State: 38:[83, 53, 83, 75], Operations: [] Exploring Operation: 83-53=30, Resulting Numbers: [75, 30] Generated Node #2: [75, 30] from Operation: 83-53=30 Current State: 38:[75, 30], Operations: ['83-53=30'] Exploring Operation: 83-75=8, Resulting Numbers: [30, 8] Generated Node #3: [30, 8] from Operation: 83-75=8 Current State: 38:[30, 8], Operations: ['83-53=30', '83-75=8'] Exploring Operation: 30+8=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 41, 69, 52, 74 ]
13
[ "52-41=11", "69+74=143", "143/11=13" ]
Current State: 13:[41, 69, 52, 74], Operations: [] Exploring Operation: 52-41=11, Resulting Numbers: [69, 74, 11] Generated Node #2: [69, 74, 11] from Operation: 52-41=11 Current State: 13:[69, 74, 11], Operations: ['52-41=11'] Exploring Operation: 69+74=143, Resulting Numbers: [11, 143] Generated Node #3: [11, 143] from Operation: 69+74=143 Current State: 13:[11, 143], Operations: ['52-41=11', '69+74=143'] Exploring Operation: 143/11=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 96, 24, 62, 79 ]
89
[ "96-24=72", "79-62=17", "72+17=89" ]
Current State: 89:[96, 24, 62, 79], Operations: [] Exploring Operation: 96-24=72, Resulting Numbers: [62, 79, 72] Generated Node #2: [62, 79, 72] from Operation: 96-24=72 Current State: 89:[62, 79, 72], Operations: ['96-24=72'] Exploring Operation: 79-62=17, Resulting Numbers: [72, 17] Generated Node #3: [72, 17] from Operation: 79-62=17 Current State: 89:[72, 17], Operations: ['96-24=72', '79-62=17'] Exploring Operation: 72+17=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 98, 37, 8, 38 ]
54
[ "98+38=136", "136/8=17", "37+17=54" ]
Current State: 54:[98, 37, 8, 38], Operations: [] Exploring Operation: 98+38=136, Resulting Numbers: [37, 8, 136] Generated Node #2: [37, 8, 136] from Operation: 98+38=136 Current State: 54:[37, 8, 136], Operations: ['98+38=136'] Exploring Operation: 136/8=17, Resulting Numbers: [37, 17] Generated Node #3: [37, 17] from Operation: 136/8=17 Current State: 54:[37, 17], Operations: ['98+38=136', '136/8=17'] Exploring Operation: 37+17=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 47, 21, 33, 15 ]
21
[ "47-33=14", "15-14=1", "21*1=21" ]
Current State: 21:[47, 21, 33, 15], Operations: [] Exploring Operation: 47-33=14, Resulting Numbers: [21, 15, 14] Generated Node #2: [21, 15, 14] from Operation: 47-33=14 Current State: 21:[21, 15, 14], Operations: ['47-33=14'] Exploring Operation: 15-14=1, Resulting Numbers: [21, 1] Generated Node #3: [21, 1] from Operation: 15-14=1 Current State: 21:[21, 1], Operations: ['47-33=14', '15-14=1'] Exploring Operation: 21*1=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 78, 89, 86, 29 ]
46
[ "89-78=11", "86-29=57", "57-11=46" ]
Current State: 46:[78, 89, 86, 29], Operations: [] Exploring Operation: 89-78=11, Resulting Numbers: [86, 29, 11] Generated Node #2: [86, 29, 11] from Operation: 89-78=11 Current State: 46:[86, 29, 11], Operations: ['89-78=11'] Exploring Operation: 86-29=57, Resulting Numbers: [11, 57] Generated Node #3: [11, 57] from Operation: 86-29=57 Current State: 46:[11, 57], Operations: ['89-78=11', '86-29=57'] Exploring Operation: 57-11=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 73, 30, 72, 2 ]
41
[ "73+30=103", "72*2=144", "144-103=41" ]
Current State: 41:[73, 30, 72, 2], Operations: [] Exploring Operation: 73+30=103, Resulting Numbers: [72, 2, 103] Generated Node #2: [72, 2, 103] from Operation: 73+30=103 Current State: 41:[72, 2, 103], Operations: ['73+30=103'] Exploring Operation: 72*2=144, Resulting Numbers: [103, 144] Generated Node #3: [103, 144] from Operation: 72*2=144 Current State: 41:[103, 144], Operations: ['73+30=103', '72*2=144'] Exploring Operation: 144-103=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 58, 43, 56, 46 ]
66
[ "58-56=2", "46/2=23", "43+23=66" ]
Current State: 66:[58, 43, 56, 46], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [43, 46, 2] Generated Node #2: [43, 46, 2] from Operation: 58-56=2 Current State: 66:[43, 46, 2], Operations: ['58-56=2'] Exploring Operation: 46/2=23, Resulting Numbers: [43, 23] Generated Node #3: [43, 23] from Operation: 46/2=23 Current State: 66:[43, 23], Operations: ['58-56=2', '46/2=23'] Exploring Operation: 43+23=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4