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
[ 1, 26, 50, 40 ]
37
[ "1+26=27", "50-40=10", "27+10=37" ]
Current State: 37:[1, 26, 50, 40], Operations: [] Exploring Operation: 1+26=27, Resulting Numbers: [50, 40, 27] Generated Node #2: [50, 40, 27] from Operation: 1+26=27 Current State: 37:[50, 40, 27], Operations: ['1+26=27'] Exploring Operation: 50-40=10, Resulting Numbers: [27, 10] Generated Node #3: [27, 10] from Operation: 50-40=10 Current State: 37:[27, 10], Operations: ['1+26=27', '50-40=10'] Exploring Operation: 27+10=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 3, 4, 63, 24 ]
51
[ "3*4=12", "63-24=39", "12+39=51" ]
Current State: 51:[3, 4, 63, 24], Operations: [] Exploring Operation: 3*4=12, Resulting Numbers: [63, 24, 12] Generated Node #2: [63, 24, 12] from Operation: 3*4=12 Current State: 51:[63, 24, 12], Operations: ['3*4=12'] Exploring Operation: 63-24=39, Resulting Numbers: [12, 39] Generated Node #3: [12, 39] from Operation: 63-24=39 Current State: 51:[12, 39], Operations: ['3*4=12', '63-24=39'] Exploring Operation: 12+39=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 17, 95, 47, 5 ]
11
[ "47-17=30", "95/5=19", "30-19=11" ]
Current State: 11:[17, 95, 47, 5], Operations: [] Exploring Operation: 47-17=30, Resulting Numbers: [95, 5, 30] Generated Node #2: [95, 5, 30] from Operation: 47-17=30 Current State: 11:[95, 5, 30], Operations: ['47-17=30'] Exploring Operation: 95/5=19, Resulting Numbers: [30, 19] Generated Node #3: [30, 19] from Operation: 95/5=19 Current State: 11:[30, 19], Operations: ['47-17=30', '95/5=19'] Exploring Operation: 30-19=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 35, 8, 3, 48 ]
93
[ "8*48=384", "384/3=128", "128-35=93" ]
Current State: 93:[35, 8, 3, 48], Operations: [] Exploring Operation: 8*48=384, Resulting Numbers: [35, 3, 384] Generated Node #2: [35, 3, 384] from Operation: 8*48=384 Current State: 93:[35, 3, 384], Operations: ['8*48=384'] Exploring Operation: 384/3=128, Resulting Numbers: [35, 128] Generated Node #3: [35, 128] from Operation: 384/3=128 Current State: 93:[35, 128], Operations: ['8*48=384', '384/3=128'] Exploring Operation: 128-35=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 99, 16, 54, 71 ]
66
[ "99-16=83", "71-54=17", "83-17=66" ]
Current State: 66:[99, 16, 54, 71], Operations: [] Exploring Operation: 99-16=83, Resulting Numbers: [54, 71, 83] Generated Node #2: [54, 71, 83] from Operation: 99-16=83 Current State: 66:[54, 71, 83], Operations: ['99-16=83'] Exploring Operation: 71-54=17, Resulting Numbers: [83, 17] Generated Node #3: [83, 17] from Operation: 71-54=17 Current State: 66:[83, 17], Operations: ['99-16=83', '71-54=17'] Exploring Operation: 83-17=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 51, 94, 7, 58 ]
80
[ "51+94=145", "7+58=65", "145-65=80" ]
Current State: 80:[51, 94, 7, 58], Operations: [] Exploring Operation: 51+94=145, Resulting Numbers: [7, 58, 145] Generated Node #2: [7, 58, 145] from Operation: 51+94=145 Current State: 80:[7, 58, 145], Operations: ['51+94=145'] Exploring Operation: 7+58=65, Resulting Numbers: [145, 65] Generated Node #3: [145, 65] from Operation: 7+58=65 Current State: 80:[145, 65], Operations: ['51+94=145', '7+58=65'] Exploring Operation: 145-65=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 95, 19, 56, 6 ]
56
[ "95/19=5", "6-5=1", "56*1=56" ]
Current State: 56:[95, 19, 56, 6], Operations: [] Exploring Operation: 95/19=5, Resulting Numbers: [56, 6, 5] Generated Node #2: [56, 6, 5] from Operation: 95/19=5 Current State: 56:[56, 6, 5], Operations: ['95/19=5'] Exploring Operation: 6-5=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 6-5=1 Current State: 56:[56, 1], Operations: ['95/19=5', '6-5=1'] Exploring Operation: 56*1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 42, 20, 25, 44 ]
47
[ "42-20=22", "25+44=69", "69-22=47" ]
Current State: 47:[42, 20, 25, 44], Operations: [] Exploring Operation: 42-20=22, Resulting Numbers: [25, 44, 22] Generated Node #2: [25, 44, 22] from Operation: 42-20=22 Current State: 47:[25, 44, 22], Operations: ['42-20=22'] Exploring Operation: 25+44=69, Resulting Numbers: [22, 69] Generated Node #3: [22, 69] from Operation: 25+44=69 Current State: 47:[22, 69], Operations: ['42-20=22', '25+44=69'] Exploring Operation: 69-22=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 45, 92, 26, 16 ]
57
[ "92-45=47", "26-16=10", "47+10=57" ]
Current State: 57:[45, 92, 26, 16], Operations: [] Exploring Operation: 92-45=47, Resulting Numbers: [26, 16, 47] Generated Node #2: [26, 16, 47] from Operation: 92-45=47 Current State: 57:[26, 16, 47], Operations: ['92-45=47'] Exploring Operation: 26-16=10, Resulting Numbers: [47, 10] Generated Node #3: [47, 10] from Operation: 26-16=10 Current State: 57:[47, 10], Operations: ['92-45=47', '26-16=10'] Exploring Operation: 47+10=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 4, 54, 20, 24 ]
68
[ "24/4=6", "54+20=74", "74-6=68" ]
Current State: 68:[4, 54, 20, 24], Operations: [] Exploring Operation: 24/4=6, Resulting Numbers: [54, 20, 6] Generated Node #2: [54, 20, 6] from Operation: 24/4=6 Current State: 68:[54, 20, 6], Operations: ['24/4=6'] Exploring Operation: 54+20=74, Resulting Numbers: [6, 74] Generated Node #3: [6, 74] from Operation: 54+20=74 Current State: 68:[6, 74], Operations: ['24/4=6', '54+20=74'] Exploring Operation: 74-6=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 65, 45, 31, 72 ]
21
[ "65-45=20", "72-31=41", "41-20=21" ]
Current State: 21:[65, 45, 31, 72], Operations: [] Exploring Operation: 65-45=20, Resulting Numbers: [31, 72, 20] Generated Node #2: [31, 72, 20] from Operation: 65-45=20 Current State: 21:[31, 72, 20], Operations: ['65-45=20'] Exploring Operation: 72-31=41, Resulting Numbers: [20, 41] Generated Node #3: [20, 41] from Operation: 72-31=41 Current State: 21:[20, 41], Operations: ['65-45=20', '72-31=41'] Exploring Operation: 41-20=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 48, 29, 81, 52 ]
48
[ "48+29=77", "81-52=29", "77-29=48" ]
Current State: 48:[48, 29, 81, 52], Operations: [] Exploring Operation: 48+29=77, Resulting Numbers: [81, 52, 77] Generated Node #2: [81, 52, 77] from Operation: 48+29=77 Current State: 48:[81, 52, 77], Operations: ['48+29=77'] Exploring Operation: 81-52=29, Resulting Numbers: [77, 29] Generated Node #3: [77, 29] from Operation: 81-52=29 Current State: 48:[77, 29], Operations: ['48+29=77', '81-52=29'] Exploring Operation: 77-29=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 20, 74, 80 ]
67
[ "74-3=71", "80/20=4", "71-4=67" ]
Current State: 67:[3, 20, 74, 80], Operations: [] Exploring Operation: 74-3=71, Resulting Numbers: [20, 80, 71] Generated Node #2: [20, 80, 71] from Operation: 74-3=71 Current State: 67:[20, 80, 71], Operations: ['74-3=71'] Exploring Operation: 80/20=4, Resulting Numbers: [71, 4] Generated Node #3: [71, 4] from Operation: 80/20=4 Current State: 67:[71, 4], Operations: ['74-3=71', '80/20=4'] Exploring Operation: 71-4=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 26, 32, 1, 93 ]
87
[ "32-26=6", "1*93=93", "93-6=87" ]
Current State: 87:[26, 32, 1, 93], Operations: [] Exploring Operation: 32-26=6, Resulting Numbers: [1, 93, 6] Generated Node #2: [1, 93, 6] from Operation: 32-26=6 Current State: 87:[1, 93, 6], Operations: ['32-26=6'] Exploring Operation: 1*93=93, Resulting Numbers: [6, 93] Generated Node #3: [6, 93] from Operation: 1*93=93 Current State: 87:[6, 93], Operations: ['32-26=6', '1*93=93'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 62, 22, 32, 48 ]
100
[ "62+22=84", "48-32=16", "84+16=100" ]
Current State: 100:[62, 22, 32, 48], Operations: [] Exploring Operation: 62+22=84, Resulting Numbers: [32, 48, 84] Generated Node #2: [32, 48, 84] from Operation: 62+22=84 Current State: 100:[32, 48, 84], Operations: ['62+22=84'] Exploring Operation: 48-32=16, Resulting Numbers: [84, 16] Generated Node #3: [84, 16] from Operation: 48-32=16 Current State: 100:[84, 16], Operations: ['62+22=84', '48-32=16'] Exploring Operation: 84+16=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 89, 16, 49, 85 ]
29
[ "89+16=105", "49+85=134", "134-105=29" ]
Current State: 29:[89, 16, 49, 85], Operations: [] Exploring Operation: 89+16=105, Resulting Numbers: [49, 85, 105] Generated Node #2: [49, 85, 105] from Operation: 89+16=105 Current State: 29:[49, 85, 105], Operations: ['89+16=105'] Exploring Operation: 49+85=134, Resulting Numbers: [105, 134] Generated Node #3: [105, 134] from Operation: 49+85=134 Current State: 29:[105, 134], Operations: ['89+16=105', '49+85=134'] Exploring Operation: 134-105=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 89, 72, 16, 46 ]
99
[ "89+72=161", "16+46=62", "161-62=99" ]
Current State: 99:[89, 72, 16, 46], Operations: [] Exploring Operation: 89+72=161, Resulting Numbers: [16, 46, 161] Generated Node #2: [16, 46, 161] from Operation: 89+72=161 Current State: 99:[16, 46, 161], Operations: ['89+72=161'] Exploring Operation: 16+46=62, Resulting Numbers: [161, 62] Generated Node #3: [161, 62] from Operation: 16+46=62 Current State: 99:[161, 62], Operations: ['89+72=161', '16+46=62'] Exploring Operation: 161-62=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 71, 40, 21, 49 ]
24
[ "71+49=120", "120/40=3", "21+3=24" ]
Current State: 24:[71, 40, 21, 49], Operations: [] Exploring Operation: 71+49=120, Resulting Numbers: [40, 21, 120] Generated Node #2: [40, 21, 120] from Operation: 71+49=120 Current State: 24:[40, 21, 120], Operations: ['71+49=120'] Exploring Operation: 120/40=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 120/40=3 Current State: 24:[21, 3], Operations: ['71+49=120', '120/40=3'] Exploring Operation: 21+3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 59, 7, 63, 10 ]
12
[ "63-59=4", "10-7=3", "4*3=12" ]
Current State: 12:[59, 7, 63, 10], Operations: [] Exploring Operation: 63-59=4, Resulting Numbers: [7, 10, 4] Generated Node #2: [7, 10, 4] from Operation: 63-59=4 Current State: 12:[7, 10, 4], Operations: ['63-59=4'] Exploring Operation: 10-7=3, Resulting Numbers: [4, 3] Generated Node #3: [4, 3] from Operation: 10-7=3 Current State: 12:[4, 3], Operations: ['63-59=4', '10-7=3'] Exploring Operation: 4*3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 13, 40, 19, 84 ]
52
[ "13*84=1092", "40-19=21", "1092/21=52" ]
Current State: 52:[13, 40, 19, 84], Operations: [] Exploring Operation: 13*84=1092, Resulting Numbers: [40, 19, 1092] Generated Node #2: [40, 19, 1092] from Operation: 13*84=1092 Current State: 52:[40, 19, 1092], Operations: ['13*84=1092'] Exploring Operation: 40-19=21, Resulting Numbers: [1092, 21] Generated Node #3: [1092, 21] from Operation: 40-19=21 Current State: 52:[1092, 21], Operations: ['13*84=1092', '40-19=21'] Exploring Operation: 1092/21=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 85, 57, 13, 3 ]
33
[ "85-13=72", "72/3=24", "57-24=33" ]
Current State: 33:[85, 57, 13, 3], Operations: [] Exploring Operation: 85-13=72, Resulting Numbers: [57, 3, 72] Generated Node #2: [57, 3, 72] from Operation: 85-13=72 Current State: 33:[57, 3, 72], Operations: ['85-13=72'] Exploring Operation: 72/3=24, Resulting Numbers: [57, 24] Generated Node #3: [57, 24] from Operation: 72/3=24 Current State: 33:[57, 24], Operations: ['85-13=72', '72/3=24'] Exploring Operation: 57-24=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 59, 72, 94, 35 ]
97
[ "59-35=24", "72/24=3", "94+3=97" ]
Current State: 97:[59, 72, 94, 35], Operations: [] Exploring Operation: 59-35=24, Resulting Numbers: [72, 94, 24] Generated Node #2: [72, 94, 24] from Operation: 59-35=24 Current State: 97:[72, 94, 24], Operations: ['59-35=24'] Exploring Operation: 72/24=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 72/24=3 Current State: 97:[94, 3], Operations: ['59-35=24', '72/24=3'] Exploring Operation: 94+3=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 78, 30, 43, 40 ]
61
[ "78*40=3120", "3120/30=104", "104-43=61" ]
Current State: 61:[78, 30, 43, 40], Operations: [] Exploring Operation: 78*40=3120, Resulting Numbers: [30, 43, 3120] Generated Node #2: [30, 43, 3120] from Operation: 78*40=3120 Current State: 61:[30, 43, 3120], Operations: ['78*40=3120'] Exploring Operation: 3120/30=104, Resulting Numbers: [43, 104] Generated Node #3: [43, 104] from Operation: 3120/30=104 Current State: 61:[43, 104], Operations: ['78*40=3120', '3120/30=104'] Exploring Operation: 104-43=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 58, 28, 2, 34 ]
32
[ "58-28=30", "34+30=64", "64/2=32" ]
Current State: 32:[58, 28, 2, 34], Operations: [] Exploring Operation: 58-28=30, Resulting Numbers: [2, 34, 30] Generated Node #2: [2, 34, 30] from Operation: 58-28=30 Current State: 32:[2, 34, 30], Operations: ['58-28=30'] Exploring Operation: 34+30=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 34+30=64 Current State: 32:[2, 64], Operations: ['58-28=30', '34+30=64'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 28, 80, 43, 63 ]
24
[ "63-43=20", "80/20=4", "28-4=24" ]
Current State: 24:[28, 80, 43, 63], Operations: [] Exploring Operation: 63-43=20, Resulting Numbers: [28, 80, 20] Generated Node #2: [28, 80, 20] from Operation: 63-43=20 Current State: 24:[28, 80, 20], Operations: ['63-43=20'] Exploring Operation: 80/20=4, Resulting Numbers: [28, 4] Generated Node #3: [28, 4] from Operation: 80/20=4 Current State: 24:[28, 4], Operations: ['63-43=20', '80/20=4'] Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 18, 96, 31, 33 ]
30
[ "33-31=2", "96/2=48", "48-18=30" ]
Current State: 30:[18, 96, 31, 33], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [18, 96, 2] Generated Node #2: [18, 96, 2] from Operation: 33-31=2 Current State: 30:[18, 96, 2], Operations: ['33-31=2'] Exploring Operation: 96/2=48, Resulting Numbers: [18, 48] Generated Node #3: [18, 48] from Operation: 96/2=48 Current State: 30:[18, 48], Operations: ['33-31=2', '96/2=48'] Exploring Operation: 48-18=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 63, 55, 2, 46 ]
31
[ "63-55=8", "46/2=23", "8+23=31" ]
Current State: 31:[63, 55, 2, 46], Operations: [] Exploring Operation: 63-55=8, Resulting Numbers: [2, 46, 8] Generated Node #2: [2, 46, 8] from Operation: 63-55=8 Current State: 31:[2, 46, 8], Operations: ['63-55=8'] Exploring Operation: 46/2=23, Resulting Numbers: [8, 23] Generated Node #3: [8, 23] from Operation: 46/2=23 Current State: 31:[8, 23], Operations: ['63-55=8', '46/2=23'] Exploring Operation: 8+23=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 9, 43, 51, 28 ]
33
[ "51*28=1428", "1428-9=1419", "1419/43=33" ]
Current State: 33:[9, 43, 51, 28], Operations: [] Exploring Operation: 51*28=1428, Resulting Numbers: [9, 43, 1428] Generated Node #2: [9, 43, 1428] from Operation: 51*28=1428 Current State: 33:[9, 43, 1428], Operations: ['51*28=1428'] Exploring Operation: 1428-9=1419, Resulting Numbers: [43, 1419] Generated Node #3: [43, 1419] from Operation: 1428-9=1419 Current State: 33:[43, 1419], Operations: ['51*28=1428', '1428-9=1419'] Exploring Operation: 1419/43=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 2, 70, 44, 34 ]
74
[ "70+44=114", "34+114=148", "148/2=74" ]
Current State: 74:[2, 70, 44, 34], Operations: [] Exploring Operation: 70+44=114, Resulting Numbers: [2, 34, 114] Generated Node #2: [2, 34, 114] from Operation: 70+44=114 Current State: 74:[2, 34, 114], Operations: ['70+44=114'] Exploring Operation: 34+114=148, Resulting Numbers: [2, 148] Generated Node #3: [2, 148] from Operation: 34+114=148 Current State: 74:[2, 148], Operations: ['70+44=114', '34+114=148'] Exploring Operation: 148/2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 61, 81, 76, 27 ]
83
[ "81-61=20", "76+27=103", "103-20=83" ]
Current State: 83:[61, 81, 76, 27], Operations: [] Exploring Operation: 81-61=20, Resulting Numbers: [76, 27, 20] Generated Node #2: [76, 27, 20] from Operation: 81-61=20 Current State: 83:[76, 27, 20], Operations: ['81-61=20'] Exploring Operation: 76+27=103, Resulting Numbers: [20, 103] Generated Node #3: [20, 103] from Operation: 76+27=103 Current State: 83:[20, 103], Operations: ['81-61=20', '76+27=103'] Exploring Operation: 103-20=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 38, 74, 52, 12 ]
76
[ "74-38=36", "52-12=40", "36+40=76" ]
Current State: 76:[38, 74, 52, 12], Operations: [] Exploring Operation: 74-38=36, Resulting Numbers: [52, 12, 36] Generated Node #2: [52, 12, 36] from Operation: 74-38=36 Current State: 76:[52, 12, 36], Operations: ['74-38=36'] Exploring Operation: 52-12=40, Resulting Numbers: [36, 40] Generated Node #3: [36, 40] from Operation: 52-12=40 Current State: 76:[36, 40], Operations: ['74-38=36', '52-12=40'] Exploring Operation: 36+40=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 15, 7, 13, 66 ]
38
[ "15-7=8", "13*8=104", "104-66=38" ]
Current State: 38:[15, 7, 13, 66], Operations: [] Exploring Operation: 15-7=8, Resulting Numbers: [13, 66, 8] Generated Node #2: [13, 66, 8] from Operation: 15-7=8 Current State: 38:[13, 66, 8], Operations: ['15-7=8'] Exploring Operation: 13*8=104, Resulting Numbers: [66, 104] Generated Node #3: [66, 104] from Operation: 13*8=104 Current State: 38:[66, 104], Operations: ['15-7=8', '13*8=104'] Exploring Operation: 104-66=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 36, 49, 72, 47 ]
48
[ "72/36=2", "49+47=96", "96/2=48" ]
Current State: 48:[36, 49, 72, 47], Operations: [] Exploring Operation: 72/36=2, Resulting Numbers: [49, 47, 2] Generated Node #2: [49, 47, 2] from Operation: 72/36=2 Current State: 48:[49, 47, 2], Operations: ['72/36=2'] Exploring Operation: 49+47=96, Resulting Numbers: [2, 96] Generated Node #3: [2, 96] from Operation: 49+47=96 Current State: 48:[2, 96], Operations: ['72/36=2', '49+47=96'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 67, 14, 20, 7 ]
85
[ "67+20=87", "14/7=2", "87-2=85" ]
Current State: 85:[67, 14, 20, 7], Operations: [] Exploring Operation: 67+20=87, Resulting Numbers: [14, 7, 87] Generated Node #2: [14, 7, 87] from Operation: 67+20=87 Current State: 85:[14, 7, 87], Operations: ['67+20=87'] Exploring Operation: 14/7=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 14/7=2 Current State: 85:[87, 2], Operations: ['67+20=87', '14/7=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 28, 58, 15, 3 ]
71
[ "28+15=43", "3*43=129", "129-58=71" ]
Current State: 71:[28, 58, 15, 3], Operations: [] Exploring Operation: 28+15=43, Resulting Numbers: [58, 3, 43] Generated Node #2: [58, 3, 43] from Operation: 28+15=43 Current State: 71:[58, 3, 43], Operations: ['28+15=43'] Exploring Operation: 3*43=129, Resulting Numbers: [58, 129] Generated Node #3: [58, 129] from Operation: 3*43=129 Current State: 71:[58, 129], Operations: ['28+15=43', '3*43=129'] Exploring Operation: 129-58=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 47, 24, 26, 69 ]
20
[ "47-24=23", "69-26=43", "43-23=20" ]
Current State: 20:[47, 24, 26, 69], Operations: [] Exploring Operation: 47-24=23, Resulting Numbers: [26, 69, 23] Generated Node #2: [26, 69, 23] from Operation: 47-24=23 Current State: 20:[26, 69, 23], Operations: ['47-24=23'] Exploring Operation: 69-26=43, Resulting Numbers: [23, 43] Generated Node #3: [23, 43] from Operation: 69-26=43 Current State: 20:[23, 43], Operations: ['47-24=23', '69-26=43'] Exploring Operation: 43-23=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 83, 71, 9, 86 ]
98
[ "86-83=3", "9*3=27", "71+27=98" ]
Current State: 98:[83, 71, 9, 86], Operations: [] Exploring Operation: 86-83=3, Resulting Numbers: [71, 9, 3] Generated Node #2: [71, 9, 3] from Operation: 86-83=3 Current State: 98:[71, 9, 3], Operations: ['86-83=3'] Exploring Operation: 9*3=27, Resulting Numbers: [71, 27] Generated Node #3: [71, 27] from Operation: 9*3=27 Current State: 98:[71, 27], Operations: ['86-83=3', '9*3=27'] Exploring Operation: 71+27=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 37, 15, 52, 89 ]
59
[ "37-15=22", "89-52=37", "22+37=59" ]
Current State: 59:[37, 15, 52, 89], Operations: [] Exploring Operation: 37-15=22, Resulting Numbers: [52, 89, 22] Generated Node #2: [52, 89, 22] from Operation: 37-15=22 Current State: 59:[52, 89, 22], Operations: ['37-15=22'] Exploring Operation: 89-52=37, Resulting Numbers: [22, 37] Generated Node #3: [22, 37] from Operation: 89-52=37 Current State: 59:[22, 37], Operations: ['37-15=22', '89-52=37'] Exploring Operation: 22+37=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 51, 41, 89, 22 ]
57
[ "51-41=10", "89-22=67", "67-10=57" ]
Current State: 57:[51, 41, 89, 22], Operations: [] Exploring Operation: 51-41=10, Resulting Numbers: [89, 22, 10] Generated Node #2: [89, 22, 10] from Operation: 51-41=10 Current State: 57:[89, 22, 10], Operations: ['51-41=10'] Exploring Operation: 89-22=67, Resulting Numbers: [10, 67] Generated Node #3: [10, 67] from Operation: 89-22=67 Current State: 57:[10, 67], Operations: ['51-41=10', '89-22=67'] Exploring Operation: 67-10=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 74, 42, 47, 45 ]
81
[ "74-47=27", "45-42=3", "27*3=81" ]
Current State: 81:[74, 42, 47, 45], Operations: [] Exploring Operation: 74-47=27, Resulting Numbers: [42, 45, 27] Generated Node #2: [42, 45, 27] from Operation: 74-47=27 Current State: 81:[42, 45, 27], Operations: ['74-47=27'] Exploring Operation: 45-42=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 45-42=3 Current State: 81:[27, 3], Operations: ['74-47=27', '45-42=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 66, 58, 76, 3 ]
81
[ "66-58=8", "76-3=73", "8+73=81" ]
Current State: 81:[66, 58, 76, 3], Operations: [] Exploring Operation: 66-58=8, Resulting Numbers: [76, 3, 8] Generated Node #2: [76, 3, 8] from Operation: 66-58=8 Current State: 81:[76, 3, 8], Operations: ['66-58=8'] Exploring Operation: 76-3=73, Resulting Numbers: [8, 73] Generated Node #3: [8, 73] from Operation: 76-3=73 Current State: 81:[8, 73], Operations: ['66-58=8', '76-3=73'] Exploring Operation: 8+73=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 63, 12, 60, 82 ]
91
[ "63-12=51", "60+82=142", "142-51=91" ]
Current State: 91:[63, 12, 60, 82], Operations: [] Exploring Operation: 63-12=51, Resulting Numbers: [60, 82, 51] Generated Node #2: [60, 82, 51] from Operation: 63-12=51 Current State: 91:[60, 82, 51], Operations: ['63-12=51'] Exploring Operation: 60+82=142, Resulting Numbers: [51, 142] Generated Node #3: [51, 142] from Operation: 60+82=142 Current State: 91:[51, 142], Operations: ['63-12=51', '60+82=142'] Exploring Operation: 142-51=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 20, 42, 62, 92 ]
28
[ "20*42=840", "92-62=30", "840/30=28" ]
Current State: 28:[20, 42, 62, 92], Operations: [] Exploring Operation: 20*42=840, Resulting Numbers: [62, 92, 840] Generated Node #2: [62, 92, 840] from Operation: 20*42=840 Current State: 28:[62, 92, 840], Operations: ['20*42=840'] Exploring Operation: 92-62=30, Resulting Numbers: [840, 30] Generated Node #3: [840, 30] from Operation: 92-62=30 Current State: 28:[840, 30], Operations: ['20*42=840', '92-62=30'] Exploring Operation: 840/30=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 72, 39, 33, 81 ]
64
[ "39+33=72", "72*72=5184", "5184/81=64" ]
Current State: 64:[72, 39, 33, 81], Operations: [] Exploring Operation: 39+33=72, Resulting Numbers: [72, 81, 72] Generated Node #2: [72, 81, 72] from Operation: 39+33=72 Current State: 64:[72, 81, 72], Operations: ['39+33=72'] Exploring Operation: 72*72=5184, Resulting Numbers: [81, 5184] Generated Node #3: [81, 5184] from Operation: 72*72=5184 Current State: 64:[81, 5184], Operations: ['39+33=72', '72*72=5184'] Exploring Operation: 5184/81=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 79, 50, 40, 75 ]
60
[ "79-75=4", "40/4=10", "50+10=60" ]
Current State: 60:[79, 50, 40, 75], Operations: [] Exploring Operation: 79-75=4, Resulting Numbers: [50, 40, 4] Generated Node #2: [50, 40, 4] from Operation: 79-75=4 Current State: 60:[50, 40, 4], Operations: ['79-75=4'] Exploring Operation: 40/4=10, Resulting Numbers: [50, 10] Generated Node #3: [50, 10] from Operation: 40/4=10 Current State: 60:[50, 10], Operations: ['79-75=4', '40/4=10'] Exploring Operation: 50+10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 11, 72, 23, 24 ]
18
[ "23-11=12", "72/12=6", "24-6=18" ]
Current State: 18:[11, 72, 23, 24], Operations: [] Exploring Operation: 23-11=12, Resulting Numbers: [72, 24, 12] Generated Node #2: [72, 24, 12] from Operation: 23-11=12 Current State: 18:[72, 24, 12], Operations: ['23-11=12'] Exploring Operation: 72/12=6, Resulting Numbers: [24, 6] Generated Node #3: [24, 6] from Operation: 72/12=6 Current State: 18:[24, 6], Operations: ['23-11=12', '72/12=6'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 93, 85, 37, 14 ]
15
[ "93-85=8", "37-14=23", "23-8=15" ]
Current State: 15:[93, 85, 37, 14], Operations: [] Exploring Operation: 93-85=8, Resulting Numbers: [37, 14, 8] Generated Node #2: [37, 14, 8] from Operation: 93-85=8 Current State: 15:[37, 14, 8], Operations: ['93-85=8'] Exploring Operation: 37-14=23, Resulting Numbers: [8, 23] Generated Node #3: [8, 23] from Operation: 37-14=23 Current State: 15:[8, 23], Operations: ['93-85=8', '37-14=23'] Exploring Operation: 23-8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 18, 88, 64, 89 ]
45
[ "88-18=70", "89-64=25", "70-25=45" ]
Current State: 45:[18, 88, 64, 89], Operations: [] Exploring Operation: 88-18=70, Resulting Numbers: [64, 89, 70] Generated Node #2: [64, 89, 70] from Operation: 88-18=70 Current State: 45:[64, 89, 70], Operations: ['88-18=70'] Exploring Operation: 89-64=25, Resulting Numbers: [70, 25] Generated Node #3: [70, 25] from Operation: 89-64=25 Current State: 45:[70, 25], Operations: ['88-18=70', '89-64=25'] Exploring Operation: 70-25=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 60, 81, 65, 3 ]
83
[ "81-60=21", "65-3=62", "21+62=83" ]
Current State: 83:[60, 81, 65, 3], Operations: [] Exploring Operation: 81-60=21, Resulting Numbers: [65, 3, 21] Generated Node #2: [65, 3, 21] from Operation: 81-60=21 Current State: 83:[65, 3, 21], Operations: ['81-60=21'] Exploring Operation: 65-3=62, Resulting Numbers: [21, 62] Generated Node #3: [21, 62] from Operation: 65-3=62 Current State: 83:[21, 62], Operations: ['81-60=21', '65-3=62'] Exploring Operation: 21+62=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 53, 83, 17, 60 ]
73
[ "83-53=30", "60-17=43", "30+43=73" ]
Current State: 73:[53, 83, 17, 60], Operations: [] Exploring Operation: 83-53=30, Resulting Numbers: [17, 60, 30] Generated Node #2: [17, 60, 30] from Operation: 83-53=30 Current State: 73:[17, 60, 30], Operations: ['83-53=30'] Exploring Operation: 60-17=43, Resulting Numbers: [30, 43] Generated Node #3: [30, 43] from Operation: 60-17=43 Current State: 73:[30, 43], Operations: ['83-53=30', '60-17=43'] Exploring Operation: 30+43=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 2, 6, 91, 8 ]
29
[ "2*91=182", "182-8=174", "174/6=29" ]
Current State: 29:[2, 6, 91, 8], Operations: [] Exploring Operation: 2*91=182, Resulting Numbers: [6, 8, 182] Generated Node #2: [6, 8, 182] from Operation: 2*91=182 Current State: 29:[6, 8, 182], Operations: ['2*91=182'] Exploring Operation: 182-8=174, Resulting Numbers: [6, 174] Generated Node #3: [6, 174] from Operation: 182-8=174 Current State: 29:[6, 174], Operations: ['2*91=182', '182-8=174'] Exploring Operation: 174/6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 34, 81, 74, 80 ]
79
[ "74-34=40", "80/40=2", "81-2=79" ]
Current State: 79:[34, 81, 74, 80], Operations: [] Exploring Operation: 74-34=40, Resulting Numbers: [81, 80, 40] Generated Node #2: [81, 80, 40] from Operation: 74-34=40 Current State: 79:[81, 80, 40], Operations: ['74-34=40'] Exploring Operation: 80/40=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 80/40=2 Current State: 79:[81, 2], Operations: ['74-34=40', '80/40=2'] Exploring Operation: 81-2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 36, 79, 24, 27 ]
97
[ "24*27=648", "648/36=18", "79+18=97" ]
Current State: 97:[36, 79, 24, 27], Operations: [] Exploring Operation: 24*27=648, Resulting Numbers: [36, 79, 648] Generated Node #2: [36, 79, 648] from Operation: 24*27=648 Current State: 97:[36, 79, 648], Operations: ['24*27=648'] Exploring Operation: 648/36=18, Resulting Numbers: [79, 18] Generated Node #3: [79, 18] from Operation: 648/36=18 Current State: 97:[79, 18], Operations: ['24*27=648', '648/36=18'] Exploring Operation: 79+18=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 19, 32, 52, 23 ]
42
[ "32-19=13", "52-23=29", "13+29=42" ]
Current State: 42:[19, 32, 52, 23], Operations: [] Exploring Operation: 32-19=13, Resulting Numbers: [52, 23, 13] Generated Node #2: [52, 23, 13] from Operation: 32-19=13 Current State: 42:[52, 23, 13], Operations: ['32-19=13'] Exploring Operation: 52-23=29, Resulting Numbers: [13, 29] Generated Node #3: [13, 29] from Operation: 52-23=29 Current State: 42:[13, 29], Operations: ['32-19=13', '52-23=29'] Exploring Operation: 13+29=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 11, 51, 66, 33 ]
15
[ "11*51=561", "561-66=495", "495/33=15" ]
Current State: 15:[11, 51, 66, 33], Operations: [] Exploring Operation: 11*51=561, Resulting Numbers: [66, 33, 561] Generated Node #2: [66, 33, 561] from Operation: 11*51=561 Current State: 15:[66, 33, 561], Operations: ['11*51=561'] Exploring Operation: 561-66=495, Resulting Numbers: [33, 495] Generated Node #3: [33, 495] from Operation: 561-66=495 Current State: 15:[33, 495], Operations: ['11*51=561', '561-66=495'] Exploring Operation: 495/33=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 76, 31, 8, 84 ]
15
[ "76+31=107", "8+84=92", "107-92=15" ]
Current State: 15:[76, 31, 8, 84], Operations: [] Exploring Operation: 76+31=107, Resulting Numbers: [8, 84, 107] Generated Node #2: [8, 84, 107] from Operation: 76+31=107 Current State: 15:[8, 84, 107], Operations: ['76+31=107'] Exploring Operation: 8+84=92, Resulting Numbers: [107, 92] Generated Node #3: [107, 92] from Operation: 8+84=92 Current State: 15:[107, 92], Operations: ['76+31=107', '8+84=92'] Exploring Operation: 107-92=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 68, 7, 9, 12 ]
82
[ "68-7=61", "9+12=21", "61+21=82" ]
Current State: 82:[68, 7, 9, 12], Operations: [] Exploring Operation: 68-7=61, Resulting Numbers: [9, 12, 61] Generated Node #2: [9, 12, 61] from Operation: 68-7=61 Current State: 82:[9, 12, 61], Operations: ['68-7=61'] Exploring Operation: 9+12=21, Resulting Numbers: [61, 21] Generated Node #3: [61, 21] from Operation: 9+12=21 Current State: 82:[61, 21], Operations: ['68-7=61', '9+12=21'] Exploring Operation: 61+21=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 98, 98, 6, 4 ]
30
[ "98/98=1", "4+1=5", "6*5=30" ]
Current State: 30:[98, 98, 6, 4], Operations: [] Exploring Operation: 98/98=1, Resulting Numbers: [6, 4, 1] Generated Node #2: [6, 4, 1] from Operation: 98/98=1 Current State: 30:[6, 4, 1], Operations: ['98/98=1'] Exploring Operation: 4+1=5, Resulting Numbers: [6, 5] Generated Node #3: [6, 5] from Operation: 4+1=5 Current State: 30:[6, 5], Operations: ['98/98=1', '4+1=5'] Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 38, 91, 70, 83 ]
45
[ "83-70=13", "91/13=7", "38+7=45" ]
Current State: 45:[38, 91, 70, 83], Operations: [] Exploring Operation: 83-70=13, Resulting Numbers: [38, 91, 13] Generated Node #2: [38, 91, 13] from Operation: 83-70=13 Current State: 45:[38, 91, 13], Operations: ['83-70=13'] Exploring Operation: 91/13=7, Resulting Numbers: [38, 7] Generated Node #3: [38, 7] from Operation: 91/13=7 Current State: 45:[38, 7], Operations: ['83-70=13', '91/13=7'] Exploring Operation: 38+7=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 9, 96, 72, 98 ]
61
[ "96-9=87", "98-72=26", "87-26=61" ]
Current State: 61:[9, 96, 72, 98], Operations: [] Exploring Operation: 96-9=87, Resulting Numbers: [72, 98, 87] Generated Node #2: [72, 98, 87] from Operation: 96-9=87 Current State: 61:[72, 98, 87], Operations: ['96-9=87'] Exploring Operation: 98-72=26, Resulting Numbers: [87, 26] Generated Node #3: [87, 26] from Operation: 98-72=26 Current State: 61:[87, 26], Operations: ['96-9=87', '98-72=26'] Exploring Operation: 87-26=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 24, 31, 36, 24 ]
67
[ "24+31=55", "36-24=12", "55+12=67" ]
Current State: 67:[24, 31, 36, 24], Operations: [] Exploring Operation: 24+31=55, Resulting Numbers: [36, 55] Generated Node #2: [36, 55] from Operation: 24+31=55 Current State: 67:[36, 55], Operations: ['24+31=55'] Exploring Operation: 36-24=12, Resulting Numbers: [55, 12] Generated Node #3: [55, 12] from Operation: 36-24=12 Current State: 67:[55, 12], Operations: ['24+31=55', '36-24=12'] Exploring Operation: 55+12=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 13, 59, 75, 60 ]
88
[ "13+75=88", "60-59=1", "88*1=88" ]
Current State: 88:[13, 59, 75, 60], Operations: [] Exploring Operation: 13+75=88, Resulting Numbers: [59, 60, 88] Generated Node #2: [59, 60, 88] from Operation: 13+75=88 Current State: 88:[59, 60, 88], Operations: ['13+75=88'] Exploring Operation: 60-59=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 60-59=1 Current State: 88:[88, 1], Operations: ['13+75=88', '60-59=1'] Exploring Operation: 88*1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 57, 69, 54, 53 ]
43
[ "57*53=3021", "3021-54=2967", "2967/69=43" ]
Current State: 43:[57, 69, 54, 53], Operations: [] Exploring Operation: 57*53=3021, Resulting Numbers: [69, 54, 3021] Generated Node #2: [69, 54, 3021] from Operation: 57*53=3021 Current State: 43:[69, 54, 3021], Operations: ['57*53=3021'] Exploring Operation: 3021-54=2967, Resulting Numbers: [69, 2967] Generated Node #3: [69, 2967] from Operation: 3021-54=2967 Current State: 43:[69, 2967], Operations: ['57*53=3021', '3021-54=2967'] Exploring Operation: 2967/69=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 29, 77, 78, 3 ]
31
[ "29+77=106", "78-3=75", "106-75=31" ]
Current State: 31:[29, 77, 78, 3], Operations: [] Exploring Operation: 29+77=106, Resulting Numbers: [78, 3, 106] Generated Node #2: [78, 3, 106] from Operation: 29+77=106 Current State: 31:[78, 3, 106], Operations: ['29+77=106'] Exploring Operation: 78-3=75, Resulting Numbers: [106, 75] Generated Node #3: [106, 75] from Operation: 78-3=75 Current State: 31:[106, 75], Operations: ['29+77=106', '78-3=75'] Exploring Operation: 106-75=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 54, 28, 90, 13 ]
25
[ "28-13=15", "90*15=1350", "1350/54=25" ]
Current State: 25:[54, 28, 90, 13], Operations: [] Exploring Operation: 28-13=15, Resulting Numbers: [54, 90, 15] Generated Node #2: [54, 90, 15] from Operation: 28-13=15 Current State: 25:[54, 90, 15], Operations: ['28-13=15'] Exploring Operation: 90*15=1350, Resulting Numbers: [54, 1350] Generated Node #3: [54, 1350] from Operation: 90*15=1350 Current State: 25:[54, 1350], Operations: ['28-13=15', '90*15=1350'] Exploring Operation: 1350/54=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 38, 82, 63, 71 ]
14
[ "38+82=120", "63+71=134", "134-120=14" ]
Current State: 14:[38, 82, 63, 71], Operations: [] Exploring Operation: 38+82=120, Resulting Numbers: [63, 71, 120] Generated Node #2: [63, 71, 120] from Operation: 38+82=120 Current State: 14:[63, 71, 120], Operations: ['38+82=120'] Exploring Operation: 63+71=134, Resulting Numbers: [120, 134] Generated Node #3: [120, 134] from Operation: 63+71=134 Current State: 14:[120, 134], Operations: ['38+82=120', '63+71=134'] Exploring Operation: 134-120=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 98, 6, 24, 2 ]
77
[ "98-24=74", "6/2=3", "74+3=77" ]
Current State: 77:[98, 6, 24, 2], Operations: [] Exploring Operation: 98-24=74, Resulting Numbers: [6, 2, 74] Generated Node #2: [6, 2, 74] from Operation: 98-24=74 Current State: 77:[6, 2, 74], Operations: ['98-24=74'] Exploring Operation: 6/2=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 6/2=3 Current State: 77:[74, 3], Operations: ['98-24=74', '6/2=3'] Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 65, 74, 86, 12 ]
79
[ "86-74=12", "12*12=144", "144-65=79" ]
Current State: 79:[65, 74, 86, 12], Operations: [] Exploring Operation: 86-74=12, Resulting Numbers: [65, 12, 12] Generated Node #2: [65, 12, 12] from Operation: 86-74=12 Current State: 79:[65, 12, 12], Operations: ['86-74=12'] Exploring Operation: 12*12=144, Resulting Numbers: [65, 144] Generated Node #3: [65, 144] from Operation: 12*12=144 Current State: 79:[65, 144], Operations: ['86-74=12', '12*12=144'] Exploring Operation: 144-65=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 89, 61, 59, 79 ]
84
[ "89+79=168", "61-59=2", "168/2=84" ]
Current State: 84:[89, 61, 59, 79], Operations: [] Exploring Operation: 89+79=168, Resulting Numbers: [61, 59, 168] Generated Node #2: [61, 59, 168] from Operation: 89+79=168 Current State: 84:[61, 59, 168], Operations: ['89+79=168'] Exploring Operation: 61-59=2, Resulting Numbers: [168, 2] Generated Node #3: [168, 2] from Operation: 61-59=2 Current State: 84:[168, 2], Operations: ['89+79=168', '61-59=2'] Exploring Operation: 168/2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 8, 59, 41, 43 ]
17
[ "8+59=67", "41+43=84", "84-67=17" ]
Current State: 17:[8, 59, 41, 43], Operations: [] Exploring Operation: 8+59=67, Resulting Numbers: [41, 43, 67] Generated Node #2: [41, 43, 67] from Operation: 8+59=67 Current State: 17:[41, 43, 67], Operations: ['8+59=67'] Exploring Operation: 41+43=84, Resulting Numbers: [67, 84] Generated Node #3: [67, 84] from Operation: 41+43=84 Current State: 17:[67, 84], Operations: ['8+59=67', '41+43=84'] Exploring Operation: 84-67=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 95, 16, 94, 78 ]
63
[ "95-16=79", "94-78=16", "79-16=63" ]
Current State: 63:[95, 16, 94, 78], Operations: [] Exploring Operation: 95-16=79, Resulting Numbers: [94, 78, 79] Generated Node #2: [94, 78, 79] from Operation: 95-16=79 Current State: 63:[94, 78, 79], Operations: ['95-16=79'] Exploring Operation: 94-78=16, Resulting Numbers: [79, 16] Generated Node #3: [79, 16] from Operation: 94-78=16 Current State: 63:[79, 16], Operations: ['95-16=79', '94-78=16'] Exploring Operation: 79-16=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 21, 52, 13, 20 ]
95
[ "20-13=7", "21*7=147", "147-52=95" ]
Current State: 95:[21, 52, 13, 20], Operations: [] Exploring Operation: 20-13=7, Resulting Numbers: [21, 52, 7] Generated Node #2: [21, 52, 7] from Operation: 20-13=7 Current State: 95:[21, 52, 7], Operations: ['20-13=7'] Exploring Operation: 21*7=147, Resulting Numbers: [52, 147] Generated Node #3: [52, 147] from Operation: 21*7=147 Current State: 95:[52, 147], Operations: ['20-13=7', '21*7=147'] Exploring Operation: 147-52=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 55, 68, 35, 37 ]
85
[ "68-55=13", "35+37=72", "13+72=85" ]
Current State: 85:[55, 68, 35, 37], Operations: [] Exploring Operation: 68-55=13, Resulting Numbers: [35, 37, 13] Generated Node #2: [35, 37, 13] from Operation: 68-55=13 Current State: 85:[35, 37, 13], Operations: ['68-55=13'] Exploring Operation: 35+37=72, Resulting Numbers: [13, 72] Generated Node #3: [13, 72] from Operation: 35+37=72 Current State: 85:[13, 72], Operations: ['68-55=13', '35+37=72'] Exploring Operation: 13+72=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 5, 90, 37, 76 ]
57
[ "90/5=18", "76-37=39", "18+39=57" ]
Current State: 57:[5, 90, 37, 76], Operations: [] Exploring Operation: 90/5=18, Resulting Numbers: [37, 76, 18] Generated Node #2: [37, 76, 18] from Operation: 90/5=18 Current State: 57:[37, 76, 18], Operations: ['90/5=18'] Exploring Operation: 76-37=39, Resulting Numbers: [18, 39] Generated Node #3: [18, 39] from Operation: 76-37=39 Current State: 57:[18, 39], Operations: ['90/5=18', '76-37=39'] Exploring Operation: 18+39=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 70, 56, 46, 47 ]
79
[ "70-56=14", "46+47=93", "93-14=79" ]
Current State: 79:[70, 56, 46, 47], Operations: [] Exploring Operation: 70-56=14, Resulting Numbers: [46, 47, 14] Generated Node #2: [46, 47, 14] from Operation: 70-56=14 Current State: 79:[46, 47, 14], Operations: ['70-56=14'] Exploring Operation: 46+47=93, Resulting Numbers: [14, 93] Generated Node #3: [14, 93] from Operation: 46+47=93 Current State: 79:[14, 93], Operations: ['70-56=14', '46+47=93'] Exploring Operation: 93-14=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 55, 38, 30, 42 ]
89
[ "55-38=17", "30+42=72", "17+72=89" ]
Current State: 89:[55, 38, 30, 42], Operations: [] Exploring Operation: 55-38=17, Resulting Numbers: [30, 42, 17] Generated Node #2: [30, 42, 17] from Operation: 55-38=17 Current State: 89:[30, 42, 17], Operations: ['55-38=17'] Exploring Operation: 30+42=72, Resulting Numbers: [17, 72] Generated Node #3: [17, 72] from Operation: 30+42=72 Current State: 89:[17, 72], Operations: ['55-38=17', '30+42=72'] Exploring Operation: 17+72=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 28, 37, 97, 24 ]
51
[ "28-24=4", "37*4=148", "148-97=51" ]
Current State: 51:[28, 37, 97, 24], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [37, 97, 4] Generated Node #2: [37, 97, 4] from Operation: 28-24=4 Current State: 51:[37, 97, 4], Operations: ['28-24=4'] Exploring Operation: 37*4=148, Resulting Numbers: [97, 148] Generated Node #3: [97, 148] from Operation: 37*4=148 Current State: 51:[97, 148], Operations: ['28-24=4', '37*4=148'] Exploring Operation: 148-97=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 59, 69, 32, 64 ]
42
[ "69-59=10", "64-32=32", "10+32=42" ]
Current State: 42:[59, 69, 32, 64], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [32, 64, 10] Generated Node #2: [32, 64, 10] from Operation: 69-59=10 Current State: 42:[32, 64, 10], Operations: ['69-59=10'] Exploring Operation: 64-32=32, Resulting Numbers: [10, 32] Generated Node #3: [10, 32] from Operation: 64-32=32 Current State: 42:[10, 32], Operations: ['69-59=10', '64-32=32'] Exploring Operation: 10+32=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 51, 29, 33, 60 ]
57
[ "51*33=1683", "29*60=1740", "1740-1683=57" ]
Current State: 57:[51, 29, 33, 60], Operations: [] Exploring Operation: 51*33=1683, Resulting Numbers: [29, 60, 1683] Generated Node #2: [29, 60, 1683] from Operation: 51*33=1683 Current State: 57:[29, 60, 1683], Operations: ['51*33=1683'] Exploring Operation: 29*60=1740, Resulting Numbers: [1683, 1740] Generated Node #3: [1683, 1740] from Operation: 29*60=1740 Current State: 57:[1683, 1740], Operations: ['51*33=1683', '29*60=1740'] Exploring Operation: 1740-1683=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 59, 84, 24, 6 ]
21
[ "84-59=25", "24/6=4", "25-4=21" ]
Current State: 21:[59, 84, 24, 6], Operations: [] Exploring Operation: 84-59=25, Resulting Numbers: [24, 6, 25] Generated Node #2: [24, 6, 25] from Operation: 84-59=25 Current State: 21:[24, 6, 25], Operations: ['84-59=25'] Exploring Operation: 24/6=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 24/6=4 Current State: 21:[25, 4], Operations: ['84-59=25', '24/6=4'] Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 98, 22, 78, 25 ]
60
[ "98-78=20", "25-22=3", "20*3=60" ]
Current State: 60:[98, 22, 78, 25], Operations: [] Exploring Operation: 98-78=20, Resulting Numbers: [22, 25, 20] Generated Node #2: [22, 25, 20] from Operation: 98-78=20 Current State: 60:[22, 25, 20], Operations: ['98-78=20'] Exploring Operation: 25-22=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 25-22=3 Current State: 60:[20, 3], Operations: ['98-78=20', '25-22=3'] Exploring Operation: 20*3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 23, 61, 5, 28 ]
62
[ "23+5=28", "28/28=1", "61+1=62" ]
Current State: 62:[23, 61, 5, 28], Operations: [] Exploring Operation: 23+5=28, Resulting Numbers: [61, 28, 28] Generated Node #2: [61, 28, 28] from Operation: 23+5=28 Current State: 62:[61, 28, 28], Operations: ['23+5=28'] Exploring Operation: 28/28=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 28/28=1 Current State: 62:[61, 1], Operations: ['23+5=28', '28/28=1'] Exploring Operation: 61+1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 7, 41, 36, 18 ]
20
[ "41-7=34", "36+18=54", "54-34=20" ]
Current State: 20:[7, 41, 36, 18], Operations: [] Exploring Operation: 41-7=34, Resulting Numbers: [36, 18, 34] Generated Node #2: [36, 18, 34] from Operation: 41-7=34 Current State: 20:[36, 18, 34], Operations: ['41-7=34'] Exploring Operation: 36+18=54, Resulting Numbers: [34, 54] Generated Node #3: [34, 54] from Operation: 36+18=54 Current State: 20:[34, 54], Operations: ['41-7=34', '36+18=54'] Exploring Operation: 54-34=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 34, 27, 92, 6 ]
14
[ "34-27=7", "92+6=98", "98/7=14" ]
Current State: 14:[34, 27, 92, 6], Operations: [] Exploring Operation: 34-27=7, Resulting Numbers: [92, 6, 7] Generated Node #2: [92, 6, 7] from Operation: 34-27=7 Current State: 14:[92, 6, 7], Operations: ['34-27=7'] Exploring Operation: 92+6=98, Resulting Numbers: [7, 98] Generated Node #3: [7, 98] from Operation: 92+6=98 Current State: 14:[7, 98], Operations: ['34-27=7', '92+6=98'] Exploring Operation: 98/7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 45, 57, 94, 24 ]
96
[ "57-45=12", "24/12=2", "94+2=96" ]
Current State: 96:[45, 57, 94, 24], Operations: [] Exploring Operation: 57-45=12, Resulting Numbers: [94, 24, 12] Generated Node #2: [94, 24, 12] from Operation: 57-45=12 Current State: 96:[94, 24, 12], Operations: ['57-45=12'] Exploring Operation: 24/12=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 24/12=2 Current State: 96:[94, 2], Operations: ['57-45=12', '24/12=2'] Exploring Operation: 94+2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 87, 10, 59, 97 ]
60
[ "87+10=97", "97/97=1", "59+1=60" ]
Current State: 60:[87, 10, 59, 97], Operations: [] Exploring Operation: 87+10=97, Resulting Numbers: [59, 97, 97] Generated Node #2: [59, 97, 97] from Operation: 87+10=97 Current State: 60:[59, 97, 97], Operations: ['87+10=97'] Exploring Operation: 97/97=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 97/97=1 Current State: 60:[59, 1], Operations: ['87+10=97', '97/97=1'] Exploring Operation: 59+1=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 64, 8, 92, 57 ]
21
[ "64-8=56", "92-57=35", "56-35=21" ]
Current State: 21:[64, 8, 92, 57], Operations: [] Exploring Operation: 64-8=56, Resulting Numbers: [92, 57, 56] Generated Node #2: [92, 57, 56] from Operation: 64-8=56 Current State: 21:[92, 57, 56], Operations: ['64-8=56'] Exploring Operation: 92-57=35, Resulting Numbers: [56, 35] Generated Node #3: [56, 35] from Operation: 92-57=35 Current State: 21:[56, 35], Operations: ['64-8=56', '92-57=35'] Exploring Operation: 56-35=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 11, 6, 38, 18 ]
10
[ "11*6=66", "38+18=56", "66-56=10" ]
Current State: 10:[11, 6, 38, 18], Operations: [] Exploring Operation: 11*6=66, Resulting Numbers: [38, 18, 66] Generated Node #2: [38, 18, 66] from Operation: 11*6=66 Current State: 10:[38, 18, 66], Operations: ['11*6=66'] Exploring Operation: 38+18=56, Resulting Numbers: [66, 56] Generated Node #3: [66, 56] from Operation: 38+18=56 Current State: 10:[66, 56], Operations: ['11*6=66', '38+18=56'] Exploring Operation: 66-56=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 85, 28, 78, 89 ]
34
[ "89-85=4", "28*4=112", "112-78=34" ]
Current State: 34:[85, 28, 78, 89], Operations: [] Exploring Operation: 89-85=4, Resulting Numbers: [28, 78, 4] Generated Node #2: [28, 78, 4] from Operation: 89-85=4 Current State: 34:[28, 78, 4], Operations: ['89-85=4'] Exploring Operation: 28*4=112, Resulting Numbers: [78, 112] Generated Node #3: [78, 112] from Operation: 28*4=112 Current State: 34:[78, 112], Operations: ['89-85=4', '28*4=112'] Exploring Operation: 112-78=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 63, 67, 73, 40 ]
18
[ "63*40=2520", "67+73=140", "2520/140=18" ]
Current State: 18:[63, 67, 73, 40], Operations: [] Exploring Operation: 63*40=2520, Resulting Numbers: [67, 73, 2520] Generated Node #2: [67, 73, 2520] from Operation: 63*40=2520 Current State: 18:[67, 73, 2520], Operations: ['63*40=2520'] Exploring Operation: 67+73=140, Resulting Numbers: [2520, 140] Generated Node #3: [2520, 140] from Operation: 67+73=140 Current State: 18:[2520, 140], Operations: ['63*40=2520', '67+73=140'] Exploring Operation: 2520/140=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 8, 88, 12, 3 ]
66
[ "12-8=4", "88*3=264", "264/4=66" ]
Current State: 66:[8, 88, 12, 3], Operations: [] Exploring Operation: 12-8=4, Resulting Numbers: [88, 3, 4] Generated Node #2: [88, 3, 4] from Operation: 12-8=4 Current State: 66:[88, 3, 4], Operations: ['12-8=4'] Exploring Operation: 88*3=264, Resulting Numbers: [4, 264] Generated Node #3: [4, 264] from Operation: 88*3=264 Current State: 66:[4, 264], Operations: ['12-8=4', '88*3=264'] Exploring Operation: 264/4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 16, 32, 86, 96 ]
84
[ "16+32=48", "96/48=2", "86-2=84" ]
Current State: 84:[16, 32, 86, 96], Operations: [] Exploring Operation: 16+32=48, Resulting Numbers: [86, 96, 48] Generated Node #2: [86, 96, 48] from Operation: 16+32=48 Current State: 84:[86, 96, 48], Operations: ['16+32=48'] Exploring Operation: 96/48=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 96/48=2 Current State: 84:[86, 2], Operations: ['16+32=48', '96/48=2'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 7, 41, 64, 13 ]
43
[ "41-7=34", "64+13=77", "77-34=43" ]
Current State: 43:[7, 41, 64, 13], Operations: [] Exploring Operation: 41-7=34, Resulting Numbers: [64, 13, 34] Generated Node #2: [64, 13, 34] from Operation: 41-7=34 Current State: 43:[64, 13, 34], Operations: ['41-7=34'] Exploring Operation: 64+13=77, Resulting Numbers: [34, 77] Generated Node #3: [34, 77] from Operation: 64+13=77 Current State: 43:[34, 77], Operations: ['41-7=34', '64+13=77'] Exploring Operation: 77-34=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 65, 4, 39, 42 ]
78
[ "65*42=2730", "39-4=35", "2730/35=78" ]
Current State: 78:[65, 4, 39, 42], Operations: [] Exploring Operation: 65*42=2730, Resulting Numbers: [4, 39, 2730] Generated Node #2: [4, 39, 2730] from Operation: 65*42=2730 Current State: 78:[4, 39, 2730], Operations: ['65*42=2730'] Exploring Operation: 39-4=35, Resulting Numbers: [2730, 35] Generated Node #3: [2730, 35] from Operation: 39-4=35 Current State: 78:[2730, 35], Operations: ['65*42=2730', '39-4=35'] Exploring Operation: 2730/35=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 66, 62, 88 ]
30
[ "2*62=124", "66+88=154", "154-124=30" ]
Current State: 30:[2, 66, 62, 88], Operations: [] Exploring Operation: 2*62=124, Resulting Numbers: [66, 88, 124] Generated Node #2: [66, 88, 124] from Operation: 2*62=124 Current State: 30:[66, 88, 124], Operations: ['2*62=124'] Exploring Operation: 66+88=154, Resulting Numbers: [124, 154] Generated Node #3: [124, 154] from Operation: 66+88=154 Current State: 30:[124, 154], Operations: ['2*62=124', '66+88=154'] Exploring Operation: 154-124=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 46, 31, 18 ]
51
[ "2*18=36", "46-31=15", "36+15=51" ]
Current State: 51:[2, 46, 31, 18], Operations: [] Exploring Operation: 2*18=36, Resulting Numbers: [46, 31, 36] Generated Node #2: [46, 31, 36] from Operation: 2*18=36 Current State: 51:[46, 31, 36], Operations: ['2*18=36'] Exploring Operation: 46-31=15, Resulting Numbers: [36, 15] Generated Node #3: [36, 15] from Operation: 46-31=15 Current State: 51:[36, 15], Operations: ['2*18=36', '46-31=15'] Exploring Operation: 36+15=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 22, 65, 72, 40 ]
69
[ "65-22=43", "72+40=112", "112-43=69" ]
Current State: 69:[22, 65, 72, 40], Operations: [] Exploring Operation: 65-22=43, Resulting Numbers: [72, 40, 43] Generated Node #2: [72, 40, 43] from Operation: 65-22=43 Current State: 69:[72, 40, 43], Operations: ['65-22=43'] Exploring Operation: 72+40=112, Resulting Numbers: [43, 112] Generated Node #3: [43, 112] from Operation: 72+40=112 Current State: 69:[43, 112], Operations: ['65-22=43', '72+40=112'] Exploring Operation: 112-43=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 32, 77, 92, 21 ]
38
[ "32+77=109", "92-21=71", "109-71=38" ]
Current State: 38:[32, 77, 92, 21], Operations: [] Exploring Operation: 32+77=109, Resulting Numbers: [92, 21, 109] Generated Node #2: [92, 21, 109] from Operation: 32+77=109 Current State: 38:[92, 21, 109], Operations: ['32+77=109'] Exploring Operation: 92-21=71, Resulting Numbers: [109, 71] Generated Node #3: [109, 71] from Operation: 92-21=71 Current State: 38:[109, 71], Operations: ['32+77=109', '92-21=71'] Exploring Operation: 109-71=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 24, 58, 26, 51 ]
57
[ "24+58=82", "51-26=25", "82-25=57" ]
Current State: 57:[24, 58, 26, 51], Operations: [] Exploring Operation: 24+58=82, Resulting Numbers: [26, 51, 82] Generated Node #2: [26, 51, 82] from Operation: 24+58=82 Current State: 57:[26, 51, 82], Operations: ['24+58=82'] Exploring Operation: 51-26=25, Resulting Numbers: [82, 25] Generated Node #3: [82, 25] from Operation: 51-26=25 Current State: 57:[82, 25], Operations: ['24+58=82', '51-26=25'] Exploring Operation: 82-25=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 55, 9, 14, 50 ]
100
[ "55+9=64", "50-14=36", "64+36=100" ]
Current State: 100:[55, 9, 14, 50], Operations: [] Exploring Operation: 55+9=64, Resulting Numbers: [14, 50, 64] Generated Node #2: [14, 50, 64] from Operation: 55+9=64 Current State: 100:[14, 50, 64], Operations: ['55+9=64'] Exploring Operation: 50-14=36, Resulting Numbers: [64, 36] Generated Node #3: [64, 36] from Operation: 50-14=36 Current State: 100:[64, 36], Operations: ['55+9=64', '50-14=36'] Exploring Operation: 64+36=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4