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
[ 54, 46, 76, 30 ]
38
[ "54-46=8", "76-30=46", "46-8=38" ]
Current State: 38:[54, 46, 76, 30], Operations: [] Exploring Operation: 54-46=8, Resulting Numbers: [76, 30, 8] Generated Node #2: [76, 30, 8] from Operation: 54-46=8 Current State: 38:[76, 30, 8], Operations: ['54-46=8'] Exploring Operation: 76-30=46, Resulting Numbers: [8, 46] Generated Node #3: [8, 46] from Operation: 76-30=46 Current State: 38:[8, 46], Operations: ['54-46=8', '76-30=46'] Exploring Operation: 46-8=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 8, 52, 53, 9 ]
44
[ "8*53=424", "52*9=468", "468-424=44" ]
Current State: 44:[8, 52, 53, 9], Operations: [] Exploring Operation: 8*53=424, Resulting Numbers: [52, 9, 424] Generated Node #2: [52, 9, 424] from Operation: 8*53=424 Current State: 44:[52, 9, 424], Operations: ['8*53=424'] Exploring Operation: 52*9=468, Resulting Numbers: [424, 468] Generated Node #3: [424, 468] from Operation: 52*9=468 Current State: 44:[424, 468], Operations: ['8*53=424', '52*9=468'] Exploring Operation: 468-424=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 55, 82, 76, 34 ]
83
[ "82-55=27", "76+34=110", "110-27=83" ]
Current State: 83:[55, 82, 76, 34], Operations: [] Exploring Operation: 82-55=27, Resulting Numbers: [76, 34, 27] Generated Node #2: [76, 34, 27] from Operation: 82-55=27 Current State: 83:[76, 34, 27], Operations: ['82-55=27'] Exploring Operation: 76+34=110, Resulting Numbers: [27, 110] Generated Node #3: [27, 110] from Operation: 76+34=110 Current State: 83:[27, 110], Operations: ['82-55=27', '76+34=110'] Exploring Operation: 110-27=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 20, 74, 5, 13 ]
65
[ "20/5=4", "74-13=61", "4+61=65" ]
Current State: 65:[20, 74, 5, 13], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [74, 13, 4] Generated Node #2: [74, 13, 4] from Operation: 20/5=4 Current State: 65:[74, 13, 4], Operations: ['20/5=4'] Exploring Operation: 74-13=61, Resulting Numbers: [4, 61] Generated Node #3: [4, 61] from Operation: 74-13=61 Current State: 65:[4, 61], Operations: ['20/5=4', '74-13=61'] Exploring Operation: 4+61=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 85, 65, 44, 87 ]
42
[ "87-85=2", "65-44=21", "2*21=42" ]
Current State: 42:[85, 65, 44, 87], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [65, 44, 2] Generated Node #2: [65, 44, 2] from Operation: 87-85=2 Current State: 42:[65, 44, 2], Operations: ['87-85=2'] Exploring Operation: 65-44=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 65-44=21 Current State: 42:[2, 21], Operations: ['87-85=2', '65-44=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 23, 48, 4, 47 ]
28
[ "23+48=71", "47-4=43", "71-43=28" ]
Current State: 28:[23, 48, 4, 47], Operations: [] Exploring Operation: 23+48=71, Resulting Numbers: [4, 47, 71] Generated Node #2: [4, 47, 71] from Operation: 23+48=71 Current State: 28:[4, 47, 71], Operations: ['23+48=71'] Exploring Operation: 47-4=43, Resulting Numbers: [71, 43] Generated Node #3: [71, 43] from Operation: 47-4=43 Current State: 28:[71, 43], Operations: ['23+48=71', '47-4=43'] Exploring Operation: 71-43=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 70, 2, 22, 13 ]
63
[ "70+2=72", "22-13=9", "72-9=63" ]
Current State: 63:[70, 2, 22, 13], Operations: [] Exploring Operation: 70+2=72, Resulting Numbers: [22, 13, 72] Generated Node #2: [22, 13, 72] from Operation: 70+2=72 Current State: 63:[22, 13, 72], Operations: ['70+2=72'] Exploring Operation: 22-13=9, Resulting Numbers: [72, 9] Generated Node #3: [72, 9] from Operation: 22-13=9 Current State: 63:[72, 9], Operations: ['70+2=72', '22-13=9'] Exploring Operation: 72-9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 28, 19, 26, 16 ]
20
[ "26-19=7", "28/7=4", "16+4=20" ]
Current State: 20:[28, 19, 26, 16], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [28, 16, 7] Generated Node #2: [28, 16, 7] from Operation: 26-19=7 Current State: 20:[28, 16, 7], Operations: ['26-19=7'] Exploring Operation: 28/7=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 28/7=4 Current State: 20:[16, 4], Operations: ['26-19=7', '28/7=4'] Exploring Operation: 16+4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 2, 45, 87, 28 ]
94
[ "45+87=132", "132/2=66", "28+66=94" ]
Current State: 94:[2, 45, 87, 28], Operations: [] Exploring Operation: 45+87=132, Resulting Numbers: [2, 28, 132] Generated Node #2: [2, 28, 132] from Operation: 45+87=132 Current State: 94:[2, 28, 132], Operations: ['45+87=132'] Exploring Operation: 132/2=66, Resulting Numbers: [28, 66] Generated Node #3: [28, 66] from Operation: 132/2=66 Current State: 94:[28, 66], Operations: ['45+87=132', '132/2=66'] Exploring Operation: 28+66=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 36, 65, 13, 53 ]
39
[ "36*13=468", "65-53=12", "468/12=39" ]
Current State: 39:[36, 65, 13, 53], Operations: [] Exploring Operation: 36*13=468, Resulting Numbers: [65, 53, 468] Generated Node #2: [65, 53, 468] from Operation: 36*13=468 Current State: 39:[65, 53, 468], Operations: ['36*13=468'] Exploring Operation: 65-53=12, Resulting Numbers: [468, 12] Generated Node #3: [468, 12] from Operation: 65-53=12 Current State: 39:[468, 12], Operations: ['36*13=468', '65-53=12'] Exploring Operation: 468/12=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 52, 91, 2, 32 ]
58
[ "91*32=2912", "2912/52=56", "2+56=58" ]
Current State: 58:[52, 91, 2, 32], Operations: [] Exploring Operation: 91*32=2912, Resulting Numbers: [52, 2, 2912] Generated Node #2: [52, 2, 2912] from Operation: 91*32=2912 Current State: 58:[52, 2, 2912], Operations: ['91*32=2912'] Exploring Operation: 2912/52=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 2912/52=56 Current State: 58:[2, 56], Operations: ['91*32=2912', '2912/52=56'] Exploring Operation: 2+56=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 51, 54, 25, 99 ]
75
[ "54+99=153", "153/51=3", "25*3=75" ]
Current State: 75:[51, 54, 25, 99], Operations: [] Exploring Operation: 54+99=153, Resulting Numbers: [51, 25, 153] Generated Node #2: [51, 25, 153] from Operation: 54+99=153 Current State: 75:[51, 25, 153], Operations: ['54+99=153'] Exploring Operation: 153/51=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 153/51=3 Current State: 75:[25, 3], Operations: ['54+99=153', '153/51=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 25, 37, 57, 6 ]
51
[ "37-25=12", "57+6=63", "63-12=51" ]
Current State: 51:[25, 37, 57, 6], Operations: [] Exploring Operation: 37-25=12, Resulting Numbers: [57, 6, 12] Generated Node #2: [57, 6, 12] from Operation: 37-25=12 Current State: 51:[57, 6, 12], Operations: ['37-25=12'] Exploring Operation: 57+6=63, Resulting Numbers: [12, 63] Generated Node #3: [12, 63] from Operation: 57+6=63 Current State: 51:[12, 63], Operations: ['37-25=12', '57+6=63'] Exploring Operation: 63-12=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 36, 61, 76, 33 ]
68
[ "61-36=25", "76-33=43", "25+43=68" ]
Current State: 68:[36, 61, 76, 33], Operations: [] Exploring Operation: 61-36=25, Resulting Numbers: [76, 33, 25] Generated Node #2: [76, 33, 25] from Operation: 61-36=25 Current State: 68:[76, 33, 25], Operations: ['61-36=25'] Exploring Operation: 76-33=43, Resulting Numbers: [25, 43] Generated Node #3: [25, 43] from Operation: 76-33=43 Current State: 68:[25, 43], Operations: ['61-36=25', '76-33=43'] Exploring Operation: 25+43=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 22, 35, 4, 45 ]
62
[ "35-22=13", "4+45=49", "13+49=62" ]
Current State: 62:[22, 35, 4, 45], Operations: [] Exploring Operation: 35-22=13, Resulting Numbers: [4, 45, 13] Generated Node #2: [4, 45, 13] from Operation: 35-22=13 Current State: 62:[4, 45, 13], Operations: ['35-22=13'] Exploring Operation: 4+45=49, Resulting Numbers: [13, 49] Generated Node #3: [13, 49] from Operation: 4+45=49 Current State: 62:[13, 49], Operations: ['35-22=13', '4+45=49'] Exploring Operation: 13+49=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 31, 34, 94, 94 ]
64
[ "31+34=65", "94/94=1", "65-1=64" ]
Current State: 64:[31, 34, 94, 94], Operations: [] Exploring Operation: 31+34=65, Resulting Numbers: [94, 94, 65] Generated Node #2: [94, 94, 65] from Operation: 31+34=65 Current State: 64:[94, 94, 65], Operations: ['31+34=65'] Exploring Operation: 94/94=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 94/94=1 Current State: 64:[65, 1], Operations: ['31+34=65', '94/94=1'] Exploring Operation: 65-1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 20, 57, 28, 39 ]
14
[ "57-20=37", "39-37=2", "28/2=14" ]
Current State: 14:[20, 57, 28, 39], Operations: [] Exploring Operation: 57-20=37, Resulting Numbers: [28, 39, 37] Generated Node #2: [28, 39, 37] from Operation: 57-20=37 Current State: 14:[28, 39, 37], Operations: ['57-20=37'] Exploring Operation: 39-37=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 39-37=2 Current State: 14:[28, 2], Operations: ['57-20=37', '39-37=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 28, 76, 11, 98 ]
26
[ "98-76=22", "22/11=2", "28-2=26" ]
Current State: 26:[28, 76, 11, 98], Operations: [] Exploring Operation: 98-76=22, Resulting Numbers: [28, 11, 22] Generated Node #2: [28, 11, 22] from Operation: 98-76=22 Current State: 26:[28, 11, 22], Operations: ['98-76=22'] Exploring Operation: 22/11=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 22/11=2 Current State: 26:[28, 2], Operations: ['98-76=22', '22/11=2'] Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 3, 90, 72, 67 ]
46
[ "3+90=93", "72+67=139", "139-93=46" ]
Current State: 46:[3, 90, 72, 67], Operations: [] Exploring Operation: 3+90=93, Resulting Numbers: [72, 67, 93] Generated Node #2: [72, 67, 93] from Operation: 3+90=93 Current State: 46:[72, 67, 93], Operations: ['3+90=93'] Exploring Operation: 72+67=139, Resulting Numbers: [93, 139] Generated Node #3: [93, 139] from Operation: 72+67=139 Current State: 46:[93, 139], Operations: ['3+90=93', '72+67=139'] Exploring Operation: 139-93=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 66, 24, 84, 41 ]
82
[ "66-24=42", "84*41=3444", "3444/42=82" ]
Current State: 82:[66, 24, 84, 41], Operations: [] Exploring Operation: 66-24=42, Resulting Numbers: [84, 41, 42] Generated Node #2: [84, 41, 42] from Operation: 66-24=42 Current State: 82:[84, 41, 42], Operations: ['66-24=42'] Exploring Operation: 84*41=3444, Resulting Numbers: [42, 3444] Generated Node #3: [42, 3444] from Operation: 84*41=3444 Current State: 82:[42, 3444], Operations: ['66-24=42', '84*41=3444'] Exploring Operation: 3444/42=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 27, 68, 80, 7 ]
57
[ "80-68=12", "7*12=84", "84-27=57" ]
Current State: 57:[27, 68, 80, 7], Operations: [] Exploring Operation: 80-68=12, Resulting Numbers: [27, 7, 12] Generated Node #2: [27, 7, 12] from Operation: 80-68=12 Current State: 57:[27, 7, 12], Operations: ['80-68=12'] Exploring Operation: 7*12=84, Resulting Numbers: [27, 84] Generated Node #3: [27, 84] from Operation: 7*12=84 Current State: 57:[27, 84], Operations: ['80-68=12', '7*12=84'] Exploring Operation: 84-27=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 13, 2, 35, 18 ]
68
[ "13+2=15", "35+18=53", "15+53=68" ]
Current State: 68:[13, 2, 35, 18], Operations: [] Exploring Operation: 13+2=15, Resulting Numbers: [35, 18, 15] Generated Node #2: [35, 18, 15] from Operation: 13+2=15 Current State: 68:[35, 18, 15], Operations: ['13+2=15'] Exploring Operation: 35+18=53, Resulting Numbers: [15, 53] Generated Node #3: [15, 53] from Operation: 35+18=53 Current State: 68:[15, 53], Operations: ['13+2=15', '35+18=53'] Exploring Operation: 15+53=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 5, 26, 32, 29 ]
34
[ "5+26=31", "32-29=3", "31+3=34" ]
Current State: 34:[5, 26, 32, 29], Operations: [] Exploring Operation: 5+26=31, Resulting Numbers: [32, 29, 31] Generated Node #2: [32, 29, 31] from Operation: 5+26=31 Current State: 34:[32, 29, 31], Operations: ['5+26=31'] Exploring Operation: 32-29=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 32-29=3 Current State: 34:[31, 3], Operations: ['5+26=31', '32-29=3'] Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 71, 90, 78, 78 ]
19
[ "90-71=19", "78-78=0", "19+0=19" ]
Current State: 19:[71, 90, 78, 78], Operations: [] Exploring Operation: 90-71=19, Resulting Numbers: [78, 78, 19] Generated Node #2: [78, 78, 19] from Operation: 90-71=19 Current State: 19:[78, 78, 19], Operations: ['90-71=19'] Exploring Operation: 78-78=0, Resulting Numbers: [19, 0] Generated Node #3: [19, 0] from Operation: 78-78=0 Current State: 19:[19, 0], Operations: ['90-71=19', '78-78=0'] Exploring Operation: 19+0=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 34, 82, 97, 51 ]
32
[ "34+82=116", "97+51=148", "148-116=32" ]
Current State: 32:[34, 82, 97, 51], Operations: [] Exploring Operation: 34+82=116, Resulting Numbers: [97, 51, 116] Generated Node #2: [97, 51, 116] from Operation: 34+82=116 Current State: 32:[97, 51, 116], Operations: ['34+82=116'] Exploring Operation: 97+51=148, Resulting Numbers: [116, 148] Generated Node #3: [116, 148] from Operation: 97+51=148 Current State: 32:[116, 148], Operations: ['34+82=116', '97+51=148'] Exploring Operation: 148-116=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 61, 53, 34, 19 ]
62
[ "53-34=19", "19/19=1", "61+1=62" ]
Current State: 62:[61, 53, 34, 19], Operations: [] Exploring Operation: 53-34=19, Resulting Numbers: [61, 19, 19] Generated Node #2: [61, 19, 19] from Operation: 53-34=19 Current State: 62:[61, 19, 19], Operations: ['53-34=19'] Exploring Operation: 19/19=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 19/19=1 Current State: 62:[61, 1], Operations: ['53-34=19', '19/19=1'] Exploring Operation: 61+1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 14, 73, 66, 57 ]
68
[ "73-14=59", "66-57=9", "59+9=68" ]
Current State: 68:[14, 73, 66, 57], Operations: [] Exploring Operation: 73-14=59, Resulting Numbers: [66, 57, 59] Generated Node #2: [66, 57, 59] from Operation: 73-14=59 Current State: 68:[66, 57, 59], Operations: ['73-14=59'] Exploring Operation: 66-57=9, Resulting Numbers: [59, 9] Generated Node #3: [59, 9] from Operation: 66-57=9 Current State: 68:[59, 9], Operations: ['73-14=59', '66-57=9'] Exploring Operation: 59+9=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 11, 4, 92, 68 ]
29
[ "92+68=160", "160/4=40", "40-11=29" ]
Current State: 29:[11, 4, 92, 68], Operations: [] Exploring Operation: 92+68=160, Resulting Numbers: [11, 4, 160] Generated Node #2: [11, 4, 160] from Operation: 92+68=160 Current State: 29:[11, 4, 160], Operations: ['92+68=160'] Exploring Operation: 160/4=40, Resulting Numbers: [11, 40] Generated Node #3: [11, 40] from Operation: 160/4=40 Current State: 29:[11, 40], Operations: ['92+68=160', '160/4=40'] Exploring Operation: 40-11=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 35, 53, 46, 81 ]
86
[ "53-46=7", "35/7=5", "81+5=86" ]
Current State: 86:[35, 53, 46, 81], Operations: [] Exploring Operation: 53-46=7, Resulting Numbers: [35, 81, 7] Generated Node #2: [35, 81, 7] from Operation: 53-46=7 Current State: 86:[35, 81, 7], Operations: ['53-46=7'] Exploring Operation: 35/7=5, Resulting Numbers: [81, 5] Generated Node #3: [81, 5] from Operation: 35/7=5 Current State: 86:[81, 5], Operations: ['53-46=7', '35/7=5'] Exploring Operation: 81+5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 83, 61, 59, 14 ]
95
[ "83-61=22", "59+14=73", "22+73=95" ]
Current State: 95:[83, 61, 59, 14], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [59, 14, 22] Generated Node #2: [59, 14, 22] from Operation: 83-61=22 Current State: 95:[59, 14, 22], Operations: ['83-61=22'] Exploring Operation: 59+14=73, Resulting Numbers: [22, 73] Generated Node #3: [22, 73] from Operation: 59+14=73 Current State: 95:[22, 73], Operations: ['83-61=22', '59+14=73'] Exploring Operation: 22+73=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 51, 12, 61, 58 ]
55
[ "61-58=3", "12/3=4", "51+4=55" ]
Current State: 55:[51, 12, 61, 58], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [51, 12, 3] Generated Node #2: [51, 12, 3] from Operation: 61-58=3 Current State: 55:[51, 12, 3], Operations: ['61-58=3'] Exploring Operation: 12/3=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 12/3=4 Current State: 55:[51, 4], Operations: ['61-58=3', '12/3=4'] Exploring Operation: 51+4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 65, 80, 60, 82 ]
86
[ "80-65=15", "60/15=4", "82+4=86" ]
Current State: 86:[65, 80, 60, 82], Operations: [] Exploring Operation: 80-65=15, Resulting Numbers: [60, 82, 15] Generated Node #2: [60, 82, 15] from Operation: 80-65=15 Current State: 86:[60, 82, 15], Operations: ['80-65=15'] Exploring Operation: 60/15=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 60/15=4 Current State: 86:[82, 4], Operations: ['80-65=15', '60/15=4'] Exploring Operation: 82+4=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 15, 19, 71, 21 ]
41
[ "21-19=2", "15*2=30", "71-30=41" ]
Current State: 41:[15, 19, 71, 21], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [15, 71, 2] Generated Node #2: [15, 71, 2] from Operation: 21-19=2 Current State: 41:[15, 71, 2], Operations: ['21-19=2'] Exploring Operation: 15*2=30, Resulting Numbers: [71, 30] Generated Node #3: [71, 30] from Operation: 15*2=30 Current State: 41:[71, 30], Operations: ['21-19=2', '15*2=30'] Exploring Operation: 71-30=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 42, 5, 32, 64 ]
74
[ "42-5=37", "64/32=2", "37*2=74" ]
Current State: 74:[42, 5, 32, 64], Operations: [] Exploring Operation: 42-5=37, Resulting Numbers: [32, 64, 37] Generated Node #2: [32, 64, 37] from Operation: 42-5=37 Current State: 74:[32, 64, 37], Operations: ['42-5=37'] Exploring Operation: 64/32=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 64/32=2 Current State: 74:[37, 2], Operations: ['42-5=37', '64/32=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 10, 81, 66, 46 ]
69
[ "81-66=15", "46*15=690", "690/10=69" ]
Current State: 69:[10, 81, 66, 46], Operations: [] Exploring Operation: 81-66=15, Resulting Numbers: [10, 46, 15] Generated Node #2: [10, 46, 15] from Operation: 81-66=15 Current State: 69:[10, 46, 15], Operations: ['81-66=15'] Exploring Operation: 46*15=690, Resulting Numbers: [10, 690] Generated Node #3: [10, 690] from Operation: 46*15=690 Current State: 69:[10, 690], Operations: ['81-66=15', '46*15=690'] Exploring Operation: 690/10=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 41, 47, 73, 74 ]
89
[ "41+47=88", "74-73=1", "88+1=89" ]
Current State: 89:[41, 47, 73, 74], Operations: [] Exploring Operation: 41+47=88, Resulting Numbers: [73, 74, 88] Generated Node #2: [73, 74, 88] from Operation: 41+47=88 Current State: 89:[73, 74, 88], Operations: ['41+47=88'] Exploring Operation: 74-73=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 74-73=1 Current State: 89:[88, 1], Operations: ['41+47=88', '74-73=1'] Exploring Operation: 88+1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 24, 44, 16, 73 ]
78
[ "44+73=117", "16*117=1872", "1872/24=78" ]
Current State: 78:[24, 44, 16, 73], Operations: [] Exploring Operation: 44+73=117, Resulting Numbers: [24, 16, 117] Generated Node #2: [24, 16, 117] from Operation: 44+73=117 Current State: 78:[24, 16, 117], Operations: ['44+73=117'] Exploring Operation: 16*117=1872, Resulting Numbers: [24, 1872] Generated Node #3: [24, 1872] from Operation: 16*117=1872 Current State: 78:[24, 1872], Operations: ['44+73=117', '16*117=1872'] Exploring Operation: 1872/24=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 51, 29, 5, 65 ]
49
[ "51+29=80", "80/5=16", "65-16=49" ]
Current State: 49:[51, 29, 5, 65], Operations: [] Exploring Operation: 51+29=80, Resulting Numbers: [5, 65, 80] Generated Node #2: [5, 65, 80] from Operation: 51+29=80 Current State: 49:[5, 65, 80], Operations: ['51+29=80'] Exploring Operation: 80/5=16, Resulting Numbers: [65, 16] Generated Node #3: [65, 16] from Operation: 80/5=16 Current State: 49:[65, 16], Operations: ['51+29=80', '80/5=16'] Exploring Operation: 65-16=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 2, 69, 78, 60 ]
53
[ "2+69=71", "78-60=18", "71-18=53" ]
Current State: 53:[2, 69, 78, 60], Operations: [] Exploring Operation: 2+69=71, Resulting Numbers: [78, 60, 71] Generated Node #2: [78, 60, 71] from Operation: 2+69=71 Current State: 53:[78, 60, 71], Operations: ['2+69=71'] Exploring Operation: 78-60=18, Resulting Numbers: [71, 18] Generated Node #3: [71, 18] from Operation: 78-60=18 Current State: 53:[71, 18], Operations: ['2+69=71', '78-60=18'] Exploring Operation: 71-18=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 50, 57, 36, 73 ]
30
[ "57-50=7", "73-36=37", "37-7=30" ]
Current State: 30:[50, 57, 36, 73], Operations: [] Exploring Operation: 57-50=7, Resulting Numbers: [36, 73, 7] Generated Node #2: [36, 73, 7] from Operation: 57-50=7 Current State: 30:[36, 73, 7], Operations: ['57-50=7'] Exploring Operation: 73-36=37, Resulting Numbers: [7, 37] Generated Node #3: [7, 37] from Operation: 73-36=37 Current State: 30:[7, 37], Operations: ['57-50=7', '73-36=37'] Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 54, 81, 12, 27 ]
39
[ "54-12=42", "81/27=3", "42-3=39" ]
Current State: 39:[54, 81, 12, 27], Operations: [] Exploring Operation: 54-12=42, Resulting Numbers: [81, 27, 42] Generated Node #2: [81, 27, 42] from Operation: 54-12=42 Current State: 39:[81, 27, 42], Operations: ['54-12=42'] Exploring Operation: 81/27=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 81/27=3 Current State: 39:[42, 3], Operations: ['54-12=42', '81/27=3'] Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 51, 35, 23, 69 ]
13
[ "51-35=16", "69/23=3", "16-3=13" ]
Current State: 13:[51, 35, 23, 69], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [23, 69, 16] Generated Node #2: [23, 69, 16] from Operation: 51-35=16 Current State: 13:[23, 69, 16], Operations: ['51-35=16'] Exploring Operation: 69/23=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 69/23=3 Current State: 13:[16, 3], Operations: ['51-35=16', '69/23=3'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 54, 19, 32, 28 ]
25
[ "54-19=35", "32+28=60", "60-35=25" ]
Current State: 25:[54, 19, 32, 28], Operations: [] Exploring Operation: 54-19=35, Resulting Numbers: [32, 28, 35] Generated Node #2: [32, 28, 35] from Operation: 54-19=35 Current State: 25:[32, 28, 35], Operations: ['54-19=35'] Exploring Operation: 32+28=60, Resulting Numbers: [35, 60] Generated Node #3: [35, 60] from Operation: 32+28=60 Current State: 25:[35, 60], Operations: ['54-19=35', '32+28=60'] Exploring Operation: 60-35=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 56, 12, 5, 63 ]
53
[ "63-56=7", "12*5=60", "60-7=53" ]
Current State: 53:[56, 12, 5, 63], Operations: [] Exploring Operation: 63-56=7, Resulting Numbers: [12, 5, 7] Generated Node #2: [12, 5, 7] from Operation: 63-56=7 Current State: 53:[12, 5, 7], Operations: ['63-56=7'] Exploring Operation: 12*5=60, Resulting Numbers: [7, 60] Generated Node #3: [7, 60] from Operation: 12*5=60 Current State: 53:[7, 60], Operations: ['63-56=7', '12*5=60'] Exploring Operation: 60-7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 63, 75, 85, 3 ]
33
[ "85-75=10", "3*10=30", "63-30=33" ]
Current State: 33:[63, 75, 85, 3], Operations: [] Exploring Operation: 85-75=10, Resulting Numbers: [63, 3, 10] Generated Node #2: [63, 3, 10] from Operation: 85-75=10 Current State: 33:[63, 3, 10], Operations: ['85-75=10'] Exploring Operation: 3*10=30, Resulting Numbers: [63, 30] Generated Node #3: [63, 30] from Operation: 3*10=30 Current State: 33:[63, 30], Operations: ['85-75=10', '3*10=30'] Exploring Operation: 63-30=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 23, 37, 97, 32 ]
64
[ "97-23=74", "74/37=2", "32*2=64" ]
Current State: 64:[23, 37, 97, 32], Operations: [] Exploring Operation: 97-23=74, Resulting Numbers: [37, 32, 74] Generated Node #2: [37, 32, 74] from Operation: 97-23=74 Current State: 64:[37, 32, 74], Operations: ['97-23=74'] Exploring Operation: 74/37=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 74/37=2 Current State: 64:[32, 2], Operations: ['97-23=74', '74/37=2'] Exploring Operation: 32*2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 44, 36, 29, 24 ]
27
[ "44+36=80", "29+24=53", "80-53=27" ]
Current State: 27:[44, 36, 29, 24], Operations: [] Exploring Operation: 44+36=80, Resulting Numbers: [29, 24, 80] Generated Node #2: [29, 24, 80] from Operation: 44+36=80 Current State: 27:[29, 24, 80], Operations: ['44+36=80'] Exploring Operation: 29+24=53, Resulting Numbers: [80, 53] Generated Node #3: [80, 53] from Operation: 29+24=53 Current State: 27:[80, 53], Operations: ['44+36=80', '29+24=53'] Exploring Operation: 80-53=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 5, 68, 97, 67 ]
93
[ "68-5=63", "97-67=30", "63+30=93" ]
Current State: 93:[5, 68, 97, 67], Operations: [] Exploring Operation: 68-5=63, Resulting Numbers: [97, 67, 63] Generated Node #2: [97, 67, 63] from Operation: 68-5=63 Current State: 93:[97, 67, 63], Operations: ['68-5=63'] Exploring Operation: 97-67=30, Resulting Numbers: [63, 30] Generated Node #3: [63, 30] from Operation: 97-67=30 Current State: 93:[63, 30], Operations: ['68-5=63', '97-67=30'] Exploring Operation: 63+30=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 27, 68, 29, 26 ]
92
[ "27+68=95", "29-26=3", "95-3=92" ]
Current State: 92:[27, 68, 29, 26], Operations: [] Exploring Operation: 27+68=95, Resulting Numbers: [29, 26, 95] Generated Node #2: [29, 26, 95] from Operation: 27+68=95 Current State: 92:[29, 26, 95], Operations: ['27+68=95'] Exploring Operation: 29-26=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 29-26=3 Current State: 92:[95, 3], Operations: ['27+68=95', '29-26=3'] Exploring Operation: 95-3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 29, 77, 82, 27 ]
61
[ "77-29=48", "82+27=109", "109-48=61" ]
Current State: 61:[29, 77, 82, 27], Operations: [] Exploring Operation: 77-29=48, Resulting Numbers: [82, 27, 48] Generated Node #2: [82, 27, 48] from Operation: 77-29=48 Current State: 61:[82, 27, 48], Operations: ['77-29=48'] Exploring Operation: 82+27=109, Resulting Numbers: [48, 109] Generated Node #3: [48, 109] from Operation: 82+27=109 Current State: 61:[48, 109], Operations: ['77-29=48', '82+27=109'] Exploring Operation: 109-48=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 45, 16, 55, 25 ]
37
[ "16*55=880", "45+880=925", "925/25=37" ]
Current State: 37:[45, 16, 55, 25], Operations: [] Exploring Operation: 16*55=880, Resulting Numbers: [45, 25, 880] Generated Node #2: [45, 25, 880] from Operation: 16*55=880 Current State: 37:[45, 25, 880], Operations: ['16*55=880'] Exploring Operation: 45+880=925, Resulting Numbers: [25, 925] Generated Node #3: [25, 925] from Operation: 45+880=925 Current State: 37:[25, 925], Operations: ['16*55=880', '45+880=925'] Exploring Operation: 925/25=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 14, 63, 60, 74 ]
20
[ "14+63=77", "77-74=3", "60/3=20" ]
Current State: 20:[14, 63, 60, 74], Operations: [] Exploring Operation: 14+63=77, Resulting Numbers: [60, 74, 77] Generated Node #2: [60, 74, 77] from Operation: 14+63=77 Current State: 20:[60, 74, 77], Operations: ['14+63=77'] Exploring Operation: 77-74=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 77-74=3 Current State: 20:[60, 3], Operations: ['14+63=77', '77-74=3'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 81, 82, 50, 82 ]
32
[ "82-81=1", "82-50=32", "1*32=32" ]
Current State: 32:[81, 82, 50, 82], Operations: [] Exploring Operation: 82-81=1, Resulting Numbers: [50, 1] Generated Node #2: [50, 1] from Operation: 82-81=1 Current State: 32:[50, 1], Operations: ['82-81=1'] Exploring Operation: 82-50=32, Resulting Numbers: [1, 32] Generated Node #3: [1, 32] from Operation: 82-50=32 Current State: 32:[1, 32], Operations: ['82-81=1', '82-50=32'] Exploring Operation: 1*32=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 60, 37, 1, 35 ]
13
[ "60-37=23", "1+35=36", "36-23=13" ]
Current State: 13:[60, 37, 1, 35], Operations: [] Exploring Operation: 60-37=23, Resulting Numbers: [1, 35, 23] Generated Node #2: [1, 35, 23] from Operation: 60-37=23 Current State: 13:[1, 35, 23], Operations: ['60-37=23'] Exploring Operation: 1+35=36, Resulting Numbers: [23, 36] Generated Node #3: [23, 36] from Operation: 1+35=36 Current State: 13:[23, 36], Operations: ['60-37=23', '1+35=36'] Exploring Operation: 36-23=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 60, 40, 9, 50 ]
57
[ "60*40=2400", "2400/50=48", "9+48=57" ]
Current State: 57:[60, 40, 9, 50], Operations: [] Exploring Operation: 60*40=2400, Resulting Numbers: [9, 50, 2400] Generated Node #2: [9, 50, 2400] from Operation: 60*40=2400 Current State: 57:[9, 50, 2400], Operations: ['60*40=2400'] Exploring Operation: 2400/50=48, Resulting Numbers: [9, 48] Generated Node #3: [9, 48] from Operation: 2400/50=48 Current State: 57:[9, 48], Operations: ['60*40=2400', '2400/50=48'] Exploring Operation: 9+48=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 14, 23, 72, 95 ]
87
[ "23-14=9", "72/9=8", "95-8=87" ]
Current State: 87:[14, 23, 72, 95], Operations: [] Exploring Operation: 23-14=9, Resulting Numbers: [72, 95, 9] Generated Node #2: [72, 95, 9] from Operation: 23-14=9 Current State: 87:[72, 95, 9], Operations: ['23-14=9'] Exploring Operation: 72/9=8, Resulting Numbers: [95, 8] Generated Node #3: [95, 8] from Operation: 72/9=8 Current State: 87:[95, 8], Operations: ['23-14=9', '72/9=8'] Exploring Operation: 95-8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 46, 84, 4, 28 ]
58
[ "84*4=336", "336/28=12", "46+12=58" ]
Current State: 58:[46, 84, 4, 28], Operations: [] Exploring Operation: 84*4=336, Resulting Numbers: [46, 28, 336] Generated Node #2: [46, 28, 336] from Operation: 84*4=336 Current State: 58:[46, 28, 336], Operations: ['84*4=336'] Exploring Operation: 336/28=12, Resulting Numbers: [46, 12] Generated Node #3: [46, 12] from Operation: 336/28=12 Current State: 58:[46, 12], Operations: ['84*4=336', '336/28=12'] Exploring Operation: 46+12=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 7, 56, 12, 2 ]
46
[ "12-7=5", "2*5=10", "56-10=46" ]
Current State: 46:[7, 56, 12, 2], Operations: [] Exploring Operation: 12-7=5, Resulting Numbers: [56, 2, 5] Generated Node #2: [56, 2, 5] from Operation: 12-7=5 Current State: 46:[56, 2, 5], Operations: ['12-7=5'] Exploring Operation: 2*5=10, Resulting Numbers: [56, 10] Generated Node #3: [56, 10] from Operation: 2*5=10 Current State: 46:[56, 10], Operations: ['12-7=5', '2*5=10'] Exploring Operation: 56-10=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 21, 3, 98, 25 ]
48
[ "21+98=119", "25+119=144", "144/3=48" ]
Current State: 48:[21, 3, 98, 25], Operations: [] Exploring Operation: 21+98=119, Resulting Numbers: [3, 25, 119] Generated Node #2: [3, 25, 119] from Operation: 21+98=119 Current State: 48:[3, 25, 119], Operations: ['21+98=119'] Exploring Operation: 25+119=144, Resulting Numbers: [3, 144] Generated Node #3: [3, 144] from Operation: 25+119=144 Current State: 48:[3, 144], Operations: ['21+98=119', '25+119=144'] Exploring Operation: 144/3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 89, 64, 32, 90 ]
88
[ "89*64=5696", "5696/32=178", "178-90=88" ]
Current State: 88:[89, 64, 32, 90], Operations: [] Exploring Operation: 89*64=5696, Resulting Numbers: [32, 90, 5696] Generated Node #2: [32, 90, 5696] from Operation: 89*64=5696 Current State: 88:[32, 90, 5696], Operations: ['89*64=5696'] Exploring Operation: 5696/32=178, Resulting Numbers: [90, 178] Generated Node #3: [90, 178] from Operation: 5696/32=178 Current State: 88:[90, 178], Operations: ['89*64=5696', '5696/32=178'] Exploring Operation: 178-90=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 2, 91, 85, 87 ]
90
[ "2+85=87", "87/87=1", "91-1=90" ]
Current State: 90:[2, 91, 85, 87], Operations: [] Exploring Operation: 2+85=87, Resulting Numbers: [91, 87, 87] Generated Node #2: [91, 87, 87] from Operation: 2+85=87 Current State: 90:[91, 87, 87], Operations: ['2+85=87'] Exploring Operation: 87/87=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 87/87=1 Current State: 90:[91, 1], Operations: ['2+85=87', '87/87=1'] Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 83, 92, 26, 70 ]
65
[ "83+92=175", "26*175=4550", "4550/70=65" ]
Current State: 65:[83, 92, 26, 70], Operations: [] Exploring Operation: 83+92=175, Resulting Numbers: [26, 70, 175] Generated Node #2: [26, 70, 175] from Operation: 83+92=175 Current State: 65:[26, 70, 175], Operations: ['83+92=175'] Exploring Operation: 26*175=4550, Resulting Numbers: [70, 4550] Generated Node #3: [70, 4550] from Operation: 26*175=4550 Current State: 65:[70, 4550], Operations: ['83+92=175', '26*175=4550'] Exploring Operation: 4550/70=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 73, 90, 59, 81 ]
39
[ "90-73=17", "81-59=22", "17+22=39" ]
Current State: 39:[73, 90, 59, 81], Operations: [] Exploring Operation: 90-73=17, Resulting Numbers: [59, 81, 17] Generated Node #2: [59, 81, 17] from Operation: 90-73=17 Current State: 39:[59, 81, 17], Operations: ['90-73=17'] Exploring Operation: 81-59=22, Resulting Numbers: [17, 22] Generated Node #3: [17, 22] from Operation: 81-59=22 Current State: 39:[17, 22], Operations: ['90-73=17', '81-59=22'] Exploring Operation: 17+22=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 79, 31, 4, 32 ]
40
[ "79-31=48", "32/4=8", "48-8=40" ]
Current State: 40:[79, 31, 4, 32], Operations: [] Exploring Operation: 79-31=48, Resulting Numbers: [4, 32, 48] Generated Node #2: [4, 32, 48] from Operation: 79-31=48 Current State: 40:[4, 32, 48], Operations: ['79-31=48'] Exploring Operation: 32/4=8, Resulting Numbers: [48, 8] Generated Node #3: [48, 8] from Operation: 32/4=8 Current State: 40:[48, 8], Operations: ['79-31=48', '32/4=8'] Exploring Operation: 48-8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 28, 64, 77, 59 ]
44
[ "28+64=92", "77+59=136", "136-92=44" ]
Current State: 44:[28, 64, 77, 59], Operations: [] Exploring Operation: 28+64=92, Resulting Numbers: [77, 59, 92] Generated Node #2: [77, 59, 92] from Operation: 28+64=92 Current State: 44:[77, 59, 92], Operations: ['28+64=92'] Exploring Operation: 77+59=136, Resulting Numbers: [92, 136] Generated Node #3: [92, 136] from Operation: 77+59=136 Current State: 44:[92, 136], Operations: ['28+64=92', '77+59=136'] Exploring Operation: 136-92=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 30, 6, 14, 73 ]
19
[ "30+73=103", "6*14=84", "103-84=19" ]
Current State: 19:[30, 6, 14, 73], Operations: [] Exploring Operation: 30+73=103, Resulting Numbers: [6, 14, 103] Generated Node #2: [6, 14, 103] from Operation: 30+73=103 Current State: 19:[6, 14, 103], Operations: ['30+73=103'] Exploring Operation: 6*14=84, Resulting Numbers: [103, 84] Generated Node #3: [103, 84] from Operation: 6*14=84 Current State: 19:[103, 84], Operations: ['30+73=103', '6*14=84'] Exploring Operation: 103-84=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 24, 50, 13, 7 ]
17
[ "24+50=74", "13*7=91", "91-74=17" ]
Current State: 17:[24, 50, 13, 7], Operations: [] Exploring Operation: 24+50=74, Resulting Numbers: [13, 7, 74] Generated Node #2: [13, 7, 74] from Operation: 24+50=74 Current State: 17:[13, 7, 74], Operations: ['24+50=74'] Exploring Operation: 13*7=91, Resulting Numbers: [74, 91] Generated Node #3: [74, 91] from Operation: 13*7=91 Current State: 17:[74, 91], Operations: ['24+50=74', '13*7=91'] Exploring Operation: 91-74=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 63, 45, 18, 99 ]
99
[ "63-45=18", "18+99=117", "117-18=99" ]
Current State: 99:[63, 45, 18, 99], Operations: [] Exploring Operation: 63-45=18, Resulting Numbers: [18, 99, 18] Generated Node #2: [18, 99, 18] from Operation: 63-45=18 Current State: 99:[18, 99, 18], Operations: ['63-45=18'] Exploring Operation: 18+99=117, Resulting Numbers: [117] 117,99 equal: Goal Reached Exploring Operation: 117-18=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 2, 7, 2, 8 ]
35
[ "2+8=10", "7*10=70", "70/2=35" ]
Current State: 35:[2, 7, 2, 8], Operations: [] Exploring Operation: 2+8=10, Resulting Numbers: [7, 10] Generated Node #2: [7, 10] from Operation: 2+8=10 Current State: 35:[7, 10], Operations: ['2+8=10'] Exploring Operation: 7*10=70, Resulting Numbers: [70] 70,35 equal: Goal Reached Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 45, 54, 80, 73 ]
23
[ "54*80=4320", "4320/45=96", "96-73=23" ]
Current State: 23:[45, 54, 80, 73], Operations: [] Exploring Operation: 54*80=4320, Resulting Numbers: [45, 73, 4320] Generated Node #2: [45, 73, 4320] from Operation: 54*80=4320 Current State: 23:[45, 73, 4320], Operations: ['54*80=4320'] Exploring Operation: 4320/45=96, Resulting Numbers: [73, 96] Generated Node #3: [73, 96] from Operation: 4320/45=96 Current State: 23:[73, 96], Operations: ['54*80=4320', '4320/45=96'] Exploring Operation: 96-73=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 21, 23, 43, 61 ]
16
[ "23-21=2", "61-43=18", "18-2=16" ]
Current State: 16:[21, 23, 43, 61], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [43, 61, 2] Generated Node #2: [43, 61, 2] from Operation: 23-21=2 Current State: 16:[43, 61, 2], Operations: ['23-21=2'] Exploring Operation: 61-43=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 61-43=18 Current State: 16:[2, 18], Operations: ['23-21=2', '61-43=18'] Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 91, 11, 79, 45 ]
93
[ "11+79=90", "90/45=2", "91+2=93" ]
Current State: 93:[91, 11, 79, 45], Operations: [] Exploring Operation: 11+79=90, Resulting Numbers: [91, 45, 90] Generated Node #2: [91, 45, 90] from Operation: 11+79=90 Current State: 93:[91, 45, 90], Operations: ['11+79=90'] Exploring Operation: 90/45=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 90/45=2 Current State: 93:[91, 2], Operations: ['11+79=90', '90/45=2'] Exploring Operation: 91+2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 83, 94, 41, 96 ]
66
[ "94-83=11", "96-41=55", "11+55=66" ]
Current State: 66:[83, 94, 41, 96], Operations: [] Exploring Operation: 94-83=11, Resulting Numbers: [41, 96, 11] Generated Node #2: [41, 96, 11] from Operation: 94-83=11 Current State: 66:[41, 96, 11], Operations: ['94-83=11'] Exploring Operation: 96-41=55, Resulting Numbers: [11, 55] Generated Node #3: [11, 55] from Operation: 96-41=55 Current State: 66:[11, 55], Operations: ['94-83=11', '96-41=55'] Exploring Operation: 11+55=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 17, 17, 44, 35 ]
79
[ "17-17=0", "44+35=79", "0+79=79" ]
Current State: 79:[17, 17, 44, 35], Operations: [] Exploring Operation: 17-17=0, Resulting Numbers: [44, 35, 0] Generated Node #2: [44, 35, 0] from Operation: 17-17=0 Current State: 79:[44, 35, 0], Operations: ['17-17=0'] Exploring Operation: 44+35=79, Resulting Numbers: [0, 79] Generated Node #3: [0, 79] from Operation: 44+35=79 Current State: 79:[0, 79], Operations: ['17-17=0', '44+35=79'] Exploring Operation: 0+79=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 77, 72, 76, 29 ]
12
[ "77-29=48", "76-72=4", "48/4=12" ]
Current State: 12:[77, 72, 76, 29], Operations: [] Exploring Operation: 77-29=48, Resulting Numbers: [72, 76, 48] Generated Node #2: [72, 76, 48] from Operation: 77-29=48 Current State: 12:[72, 76, 48], Operations: ['77-29=48'] Exploring Operation: 76-72=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 76-72=4 Current State: 12:[48, 4], Operations: ['77-29=48', '76-72=4'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 44, 27, 78, 92 ]
99
[ "44+27=71", "78+92=170", "170-71=99" ]
Current State: 99:[44, 27, 78, 92], Operations: [] Exploring Operation: 44+27=71, Resulting Numbers: [78, 92, 71] Generated Node #2: [78, 92, 71] from Operation: 44+27=71 Current State: 99:[78, 92, 71], Operations: ['44+27=71'] Exploring Operation: 78+92=170, Resulting Numbers: [71, 170] Generated Node #3: [71, 170] from Operation: 78+92=170 Current State: 99:[71, 170], Operations: ['44+27=71', '78+92=170'] Exploring Operation: 170-71=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 2, 32, 14, 61 ]
38
[ "32+14=46", "46/2=23", "61-23=38" ]
Current State: 38:[2, 32, 14, 61], Operations: [] Exploring Operation: 32+14=46, Resulting Numbers: [2, 61, 46] Generated Node #2: [2, 61, 46] from Operation: 32+14=46 Current State: 38:[2, 61, 46], Operations: ['32+14=46'] Exploring Operation: 46/2=23, Resulting Numbers: [61, 23] Generated Node #3: [61, 23] from Operation: 46/2=23 Current State: 38:[61, 23], Operations: ['32+14=46', '46/2=23'] Exploring Operation: 61-23=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 44, 94, 43, 82 ]
89
[ "94-44=50", "82-43=39", "50+39=89" ]
Current State: 89:[44, 94, 43, 82], Operations: [] Exploring Operation: 94-44=50, Resulting Numbers: [43, 82, 50] Generated Node #2: [43, 82, 50] from Operation: 94-44=50 Current State: 89:[43, 82, 50], Operations: ['94-44=50'] Exploring Operation: 82-43=39, Resulting Numbers: [50, 39] Generated Node #3: [50, 39] from Operation: 82-43=39 Current State: 89:[50, 39], Operations: ['94-44=50', '82-43=39'] Exploring Operation: 50+39=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 9, 47, 98, 23 ]
83
[ "47-9=38", "98+23=121", "121-38=83" ]
Current State: 83:[9, 47, 98, 23], Operations: [] Exploring Operation: 47-9=38, Resulting Numbers: [98, 23, 38] Generated Node #2: [98, 23, 38] from Operation: 47-9=38 Current State: 83:[98, 23, 38], Operations: ['47-9=38'] Exploring Operation: 98+23=121, Resulting Numbers: [38, 121] Generated Node #3: [38, 121] from Operation: 98+23=121 Current State: 83:[38, 121], Operations: ['47-9=38', '98+23=121'] Exploring Operation: 121-38=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 16, 46, 14, 57 ]
17
[ "14*57=798", "798-16=782", "782/46=17" ]
Current State: 17:[16, 46, 14, 57], Operations: [] Exploring Operation: 14*57=798, Resulting Numbers: [16, 46, 798] Generated Node #2: [16, 46, 798] from Operation: 14*57=798 Current State: 17:[16, 46, 798], Operations: ['14*57=798'] Exploring Operation: 798-16=782, Resulting Numbers: [46, 782] Generated Node #3: [46, 782] from Operation: 798-16=782 Current State: 17:[46, 782], Operations: ['14*57=798', '798-16=782'] Exploring Operation: 782/46=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 31, 62, 93, 53 ]
38
[ "62/31=2", "93-53=40", "40-2=38" ]
Current State: 38:[31, 62, 93, 53], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [93, 53, 2] Generated Node #2: [93, 53, 2] from Operation: 62/31=2 Current State: 38:[93, 53, 2], Operations: ['62/31=2'] Exploring Operation: 93-53=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 93-53=40 Current State: 38:[2, 40], Operations: ['62/31=2', '93-53=40'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 98, 43, 47, 63 ]
91
[ "98*43=4214", "63+4214=4277", "4277/47=91" ]
Current State: 91:[98, 43, 47, 63], Operations: [] Exploring Operation: 98*43=4214, Resulting Numbers: [47, 63, 4214] Generated Node #2: [47, 63, 4214] from Operation: 98*43=4214 Current State: 91:[47, 63, 4214], Operations: ['98*43=4214'] Exploring Operation: 63+4214=4277, Resulting Numbers: [47, 4277] Generated Node #3: [47, 4277] from Operation: 63+4214=4277 Current State: 91:[47, 4277], Operations: ['98*43=4214', '63+4214=4277'] Exploring Operation: 4277/47=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 5, 78, 74, 41 ]
87
[ "74-41=33", "5*33=165", "165-78=87" ]
Current State: 87:[5, 78, 74, 41], Operations: [] Exploring Operation: 74-41=33, Resulting Numbers: [5, 78, 33] Generated Node #2: [5, 78, 33] from Operation: 74-41=33 Current State: 87:[5, 78, 33], Operations: ['74-41=33'] Exploring Operation: 5*33=165, Resulting Numbers: [78, 165] Generated Node #3: [78, 165] from Operation: 5*33=165 Current State: 87:[78, 165], Operations: ['74-41=33', '5*33=165'] Exploring Operation: 165-78=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 30, 39, 92, 6 ]
38
[ "39-30=9", "6*9=54", "92-54=38" ]
Current State: 38:[30, 39, 92, 6], Operations: [] Exploring Operation: 39-30=9, Resulting Numbers: [92, 6, 9] Generated Node #2: [92, 6, 9] from Operation: 39-30=9 Current State: 38:[92, 6, 9], Operations: ['39-30=9'] Exploring Operation: 6*9=54, Resulting Numbers: [92, 54] Generated Node #3: [92, 54] from Operation: 6*9=54 Current State: 38:[92, 54], Operations: ['39-30=9', '6*9=54'] Exploring Operation: 92-54=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 14, 11, 43, 7 ]
52
[ "14/7=2", "11+43=54", "54-2=52" ]
Current State: 52:[14, 11, 43, 7], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [11, 43, 2] Generated Node #2: [11, 43, 2] from Operation: 14/7=2 Current State: 52:[11, 43, 2], Operations: ['14/7=2'] Exploring Operation: 11+43=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 11+43=54 Current State: 52:[2, 54], Operations: ['14/7=2', '11+43=54'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 20, 22, 23, 56 ]
66
[ "22-20=2", "56-23=33", "2*33=66" ]
Current State: 66:[20, 22, 23, 56], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [23, 56, 2] Generated Node #2: [23, 56, 2] from Operation: 22-20=2 Current State: 66:[23, 56, 2], Operations: ['22-20=2'] Exploring Operation: 56-23=33, Resulting Numbers: [2, 33] Generated Node #3: [2, 33] from Operation: 56-23=33 Current State: 66:[2, 33], Operations: ['22-20=2', '56-23=33'] Exploring Operation: 2*33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 24, 1, 55, 2 ]
85
[ "24+1=25", "55*2=110", "110-25=85" ]
Current State: 85:[24, 1, 55, 2], Operations: [] Exploring Operation: 24+1=25, Resulting Numbers: [55, 2, 25] Generated Node #2: [55, 2, 25] from Operation: 24+1=25 Current State: 85:[55, 2, 25], Operations: ['24+1=25'] Exploring Operation: 55*2=110, Resulting Numbers: [25, 110] Generated Node #3: [25, 110] from Operation: 55*2=110 Current State: 85:[25, 110], Operations: ['24+1=25', '55*2=110'] Exploring Operation: 110-25=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 4, 98, 88, 79 ]
73
[ "98-4=94", "88+79=167", "167-94=73" ]
Current State: 73:[4, 98, 88, 79], Operations: [] Exploring Operation: 98-4=94, Resulting Numbers: [88, 79, 94] Generated Node #2: [88, 79, 94] from Operation: 98-4=94 Current State: 73:[88, 79, 94], Operations: ['98-4=94'] Exploring Operation: 88+79=167, Resulting Numbers: [94, 167] Generated Node #3: [94, 167] from Operation: 88+79=167 Current State: 73:[94, 167], Operations: ['98-4=94', '88+79=167'] Exploring Operation: 167-94=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 27, 11, 16, 39 ]
96
[ "27+39=66", "66/11=6", "16*6=96" ]
Current State: 96:[27, 11, 16, 39], Operations: [] Exploring Operation: 27+39=66, Resulting Numbers: [11, 16, 66] Generated Node #2: [11, 16, 66] from Operation: 27+39=66 Current State: 96:[11, 16, 66], Operations: ['27+39=66'] Exploring Operation: 66/11=6, Resulting Numbers: [16, 6] Generated Node #3: [16, 6] from Operation: 66/11=6 Current State: 96:[16, 6], Operations: ['27+39=66', '66/11=6'] Exploring Operation: 16*6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 35, 20, 5, 14 ]
85
[ "35-20=15", "5*14=70", "15+70=85" ]
Current State: 85:[35, 20, 5, 14], Operations: [] Exploring Operation: 35-20=15, Resulting Numbers: [5, 14, 15] Generated Node #2: [5, 14, 15] from Operation: 35-20=15 Current State: 85:[5, 14, 15], Operations: ['35-20=15'] Exploring Operation: 5*14=70, Resulting Numbers: [15, 70] Generated Node #3: [15, 70] from Operation: 5*14=70 Current State: 85:[15, 70], Operations: ['35-20=15', '5*14=70'] Exploring Operation: 15+70=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 79, 72, 63, 90 ]
89
[ "72-63=9", "90/9=10", "79+10=89" ]
Current State: 89:[79, 72, 63, 90], Operations: [] Exploring Operation: 72-63=9, Resulting Numbers: [79, 90, 9] Generated Node #2: [79, 90, 9] from Operation: 72-63=9 Current State: 89:[79, 90, 9], Operations: ['72-63=9'] Exploring Operation: 90/9=10, Resulting Numbers: [79, 10] Generated Node #3: [79, 10] from Operation: 90/9=10 Current State: 89:[79, 10], Operations: ['72-63=9', '90/9=10'] Exploring Operation: 79+10=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 26, 8, 87, 29 ]
98
[ "26-8=18", "87+29=116", "116-18=98" ]
Current State: 98:[26, 8, 87, 29], Operations: [] Exploring Operation: 26-8=18, Resulting Numbers: [87, 29, 18] Generated Node #2: [87, 29, 18] from Operation: 26-8=18 Current State: 98:[87, 29, 18], Operations: ['26-8=18'] Exploring Operation: 87+29=116, Resulting Numbers: [18, 116] Generated Node #3: [18, 116] from Operation: 87+29=116 Current State: 98:[18, 116], Operations: ['26-8=18', '87+29=116'] Exploring Operation: 116-18=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 59, 2, 10, 74 ]
32
[ "59+10=69", "74/2=37", "69-37=32" ]
Current State: 32:[59, 2, 10, 74], Operations: [] Exploring Operation: 59+10=69, Resulting Numbers: [2, 74, 69] Generated Node #2: [2, 74, 69] from Operation: 59+10=69 Current State: 32:[2, 74, 69], Operations: ['59+10=69'] Exploring Operation: 74/2=37, Resulting Numbers: [69, 37] Generated Node #3: [69, 37] from Operation: 74/2=37 Current State: 32:[69, 37], Operations: ['59+10=69', '74/2=37'] Exploring Operation: 69-37=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 24, 50, 48, 11 ]
72
[ "48/24=2", "11*2=22", "50+22=72" ]
Current State: 72:[24, 50, 48, 11], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [50, 11, 2] Generated Node #2: [50, 11, 2] from Operation: 48/24=2 Current State: 72:[50, 11, 2], Operations: ['48/24=2'] Exploring Operation: 11*2=22, Resulting Numbers: [50, 22] Generated Node #3: [50, 22] from Operation: 11*2=22 Current State: 72:[50, 22], Operations: ['48/24=2', '11*2=22'] Exploring Operation: 50+22=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 40, 24, 90, 20 ]
60
[ "90-40=50", "24*50=1200", "1200/20=60" ]
Current State: 60:[40, 24, 90, 20], Operations: [] Exploring Operation: 90-40=50, Resulting Numbers: [24, 20, 50] Generated Node #2: [24, 20, 50] from Operation: 90-40=50 Current State: 60:[24, 20, 50], Operations: ['90-40=50'] Exploring Operation: 24*50=1200, Resulting Numbers: [20, 1200] Generated Node #3: [20, 1200] from Operation: 24*50=1200 Current State: 60:[20, 1200], Operations: ['90-40=50', '24*50=1200'] Exploring Operation: 1200/20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 84, 75, 9, 99 ]
13
[ "9*99=891", "84+891=975", "975/75=13" ]
Current State: 13:[84, 75, 9, 99], Operations: [] Exploring Operation: 9*99=891, Resulting Numbers: [84, 75, 891] Generated Node #2: [84, 75, 891] from Operation: 9*99=891 Current State: 13:[84, 75, 891], Operations: ['9*99=891'] Exploring Operation: 84+891=975, Resulting Numbers: [75, 975] Generated Node #3: [75, 975] from Operation: 84+891=975 Current State: 13:[75, 975], Operations: ['9*99=891', '84+891=975'] Exploring Operation: 975/75=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 35, 40, 2, 12 ]
86
[ "35-12=23", "2*23=46", "40+46=86" ]
Current State: 86:[35, 40, 2, 12], Operations: [] Exploring Operation: 35-12=23, Resulting Numbers: [40, 2, 23] Generated Node #2: [40, 2, 23] from Operation: 35-12=23 Current State: 86:[40, 2, 23], Operations: ['35-12=23'] Exploring Operation: 2*23=46, Resulting Numbers: [40, 46] Generated Node #3: [40, 46] from Operation: 2*23=46 Current State: 86:[40, 46], Operations: ['35-12=23', '2*23=46'] Exploring Operation: 40+46=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 90, 61, 6, 49 ]
26
[ "90-61=29", "6+49=55", "55-29=26" ]
Current State: 26:[90, 61, 6, 49], Operations: [] Exploring Operation: 90-61=29, Resulting Numbers: [6, 49, 29] Generated Node #2: [6, 49, 29] from Operation: 90-61=29 Current State: 26:[6, 49, 29], Operations: ['90-61=29'] Exploring Operation: 6+49=55, Resulting Numbers: [29, 55] Generated Node #3: [29, 55] from Operation: 6+49=55 Current State: 26:[29, 55], Operations: ['90-61=29', '6+49=55'] Exploring Operation: 55-29=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 17, 20, 23, 2 ]
63
[ "20-17=3", "23-2=21", "3*21=63" ]
Current State: 63:[17, 20, 23, 2], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [23, 2, 3] Generated Node #2: [23, 2, 3] from Operation: 20-17=3 Current State: 63:[23, 2, 3], Operations: ['20-17=3'] Exploring Operation: 23-2=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 23-2=21 Current State: 63:[3, 21], Operations: ['20-17=3', '23-2=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 79, 95, 54, 61 ]
91
[ "79*61=4819", "95+4819=4914", "4914/54=91" ]
Current State: 91:[79, 95, 54, 61], Operations: [] Exploring Operation: 79*61=4819, Resulting Numbers: [95, 54, 4819] Generated Node #2: [95, 54, 4819] from Operation: 79*61=4819 Current State: 91:[95, 54, 4819], Operations: ['79*61=4819'] Exploring Operation: 95+4819=4914, Resulting Numbers: [54, 4914] Generated Node #3: [54, 4914] from Operation: 95+4819=4914 Current State: 91:[54, 4914], Operations: ['79*61=4819', '95+4819=4914'] Exploring Operation: 4914/54=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4