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
[ 5, 72, 85, 80 ]
25
[ "85/5=17", "80-72=8", "17+8=25" ]
Current State: 25:[5, 72, 85, 80], Operations: [] Exploring Operation: 85/5=17, Resulting Numbers: [72, 80, 17] Generated Node #2: [72, 80, 17] from Operation: 85/5=17 Current State: 25:[72, 80, 17], Operations: ['85/5=17'] Exploring Operation: 80-72=8, Resulting Numbers: [17, 8] Generated Node #3: [17, 8] from Operation: 80-72=8 Current State: 25:[17, 8], Operations: ['85/5=17', '80-72=8'] Exploring Operation: 17+8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 9, 28, 17, 19 ]
55
[ "28-9=19", "17+19=36", "19+36=55" ]
Current State: 55:[9, 28, 17, 19], Operations: [] Exploring Operation: 28-9=19, Resulting Numbers: [17, 19, 19] Generated Node #2: [17, 19, 19] from Operation: 28-9=19 Current State: 55:[17, 19, 19], Operations: ['28-9=19'] Exploring Operation: 17+19=36, Resulting Numbers: [36] 36,55 equal: Goal Reached Exploring Operation: 19+36=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 69, 46, 54, 26 ]
35
[ "69+46=115", "54+26=80", "115-80=35" ]
Current State: 35:[69, 46, 54, 26], Operations: [] Exploring Operation: 69+46=115, Resulting Numbers: [54, 26, 115] Generated Node #2: [54, 26, 115] from Operation: 69+46=115 Current State: 35:[54, 26, 115], Operations: ['69+46=115'] Exploring Operation: 54+26=80, Resulting Numbers: [115, 80] Generated Node #3: [115, 80] from Operation: 54+26=80 Current State: 35:[115, 80], Operations: ['69+46=115', '54+26=80'] Exploring Operation: 115-80=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 90, 56, 22, 67 ]
57
[ "90+56=146", "22+67=89", "146-89=57" ]
Current State: 57:[90, 56, 22, 67], Operations: [] Exploring Operation: 90+56=146, Resulting Numbers: [22, 67, 146] Generated Node #2: [22, 67, 146] from Operation: 90+56=146 Current State: 57:[22, 67, 146], Operations: ['90+56=146'] Exploring Operation: 22+67=89, Resulting Numbers: [146, 89] Generated Node #3: [146, 89] from Operation: 22+67=89 Current State: 57:[146, 89], Operations: ['90+56=146', '22+67=89'] Exploring Operation: 146-89=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 14, 51, 8, 31 ]
26
[ "14+51=65", "8+31=39", "65-39=26" ]
Current State: 26:[14, 51, 8, 31], Operations: [] Exploring Operation: 14+51=65, Resulting Numbers: [8, 31, 65] Generated Node #2: [8, 31, 65] from Operation: 14+51=65 Current State: 26:[8, 31, 65], Operations: ['14+51=65'] Exploring Operation: 8+31=39, Resulting Numbers: [65, 39] Generated Node #3: [65, 39] from Operation: 8+31=39 Current State: 26:[65, 39], Operations: ['14+51=65', '8+31=39'] Exploring Operation: 65-39=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 32, 68, 13, 67 ]
46
[ "32+68=100", "67-13=54", "100-54=46" ]
Current State: 46:[32, 68, 13, 67], Operations: [] Exploring Operation: 32+68=100, Resulting Numbers: [13, 67, 100] Generated Node #2: [13, 67, 100] from Operation: 32+68=100 Current State: 46:[13, 67, 100], Operations: ['32+68=100'] Exploring Operation: 67-13=54, Resulting Numbers: [100, 54] Generated Node #3: [100, 54] from Operation: 67-13=54 Current State: 46:[100, 54], Operations: ['32+68=100', '67-13=54'] Exploring Operation: 100-54=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 91, 99, 77, 98 ]
92
[ "91-77=14", "98/14=7", "99-7=92" ]
Current State: 92:[91, 99, 77, 98], Operations: [] Exploring Operation: 91-77=14, Resulting Numbers: [99, 98, 14] Generated Node #2: [99, 98, 14] from Operation: 91-77=14 Current State: 92:[99, 98, 14], Operations: ['91-77=14'] Exploring Operation: 98/14=7, Resulting Numbers: [99, 7] Generated Node #3: [99, 7] from Operation: 98/14=7 Current State: 92:[99, 7], Operations: ['91-77=14', '98/14=7'] Exploring Operation: 99-7=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 21, 18, 12, 99 ]
95
[ "21-18=3", "12/3=4", "99-4=95" ]
Current State: 95:[21, 18, 12, 99], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [12, 99, 3] Generated Node #2: [12, 99, 3] from Operation: 21-18=3 Current State: 95:[12, 99, 3], Operations: ['21-18=3'] Exploring Operation: 12/3=4, Resulting Numbers: [99, 4] Generated Node #3: [99, 4] from Operation: 12/3=4 Current State: 95:[99, 4], Operations: ['21-18=3', '12/3=4'] Exploring Operation: 99-4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 51, 51, 2, 64 ]
26
[ "51+51=102", "2*64=128", "128-102=26" ]
Current State: 26:[51, 51, 2, 64], Operations: [] Exploring Operation: 51+51=102, Resulting Numbers: [2, 64, 102] Generated Node #2: [2, 64, 102] from Operation: 51+51=102 Current State: 26:[2, 64, 102], Operations: ['51+51=102'] Exploring Operation: 2*64=128, Resulting Numbers: [102, 128] Generated Node #3: [102, 128] from Operation: 2*64=128 Current State: 26:[102, 128], Operations: ['51+51=102', '2*64=128'] Exploring Operation: 128-102=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 14, 5, 69, 62 ]
73
[ "69-14=55", "55/5=11", "62+11=73" ]
Current State: 73:[14, 5, 69, 62], Operations: [] Exploring Operation: 69-14=55, Resulting Numbers: [5, 62, 55] Generated Node #2: [5, 62, 55] from Operation: 69-14=55 Current State: 73:[5, 62, 55], Operations: ['69-14=55'] Exploring Operation: 55/5=11, Resulting Numbers: [62, 11] Generated Node #3: [62, 11] from Operation: 55/5=11 Current State: 73:[62, 11], Operations: ['69-14=55', '55/5=11'] Exploring Operation: 62+11=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 18, 60, 58, 20 ]
64
[ "18*20=360", "360/60=6", "58+6=64" ]
Current State: 64:[18, 60, 58, 20], Operations: [] Exploring Operation: 18*20=360, Resulting Numbers: [60, 58, 360] Generated Node #2: [60, 58, 360] from Operation: 18*20=360 Current State: 64:[60, 58, 360], Operations: ['18*20=360'] Exploring Operation: 360/60=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 360/60=6 Current State: 64:[58, 6], Operations: ['18*20=360', '360/60=6'] Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 7, 46, 11, 22 ]
41
[ "46-7=39", "22/11=2", "39+2=41" ]
Current State: 41:[7, 46, 11, 22], Operations: [] Exploring Operation: 46-7=39, Resulting Numbers: [11, 22, 39] Generated Node #2: [11, 22, 39] from Operation: 46-7=39 Current State: 41:[11, 22, 39], Operations: ['46-7=39'] Exploring Operation: 22/11=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 22/11=2 Current State: 41:[39, 2], Operations: ['46-7=39', '22/11=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 58, 21, 23, 39 ]
38
[ "58-39=19", "23-21=2", "19*2=38" ]
Current State: 38:[58, 21, 23, 39], Operations: [] Exploring Operation: 58-39=19, Resulting Numbers: [21, 23, 19] Generated Node #2: [21, 23, 19] from Operation: 58-39=19 Current State: 38:[21, 23, 19], Operations: ['58-39=19'] Exploring Operation: 23-21=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 23-21=2 Current State: 38:[19, 2], Operations: ['58-39=19', '23-21=2'] Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 76, 21, 50, 19 ]
25
[ "76+50=126", "126/21=6", "19+6=25" ]
Current State: 25:[76, 21, 50, 19], Operations: [] Exploring Operation: 76+50=126, Resulting Numbers: [21, 19, 126] Generated Node #2: [21, 19, 126] from Operation: 76+50=126 Current State: 25:[21, 19, 126], Operations: ['76+50=126'] Exploring Operation: 126/21=6, Resulting Numbers: [19, 6] Generated Node #3: [19, 6] from Operation: 126/21=6 Current State: 25:[19, 6], Operations: ['76+50=126', '126/21=6'] Exploring Operation: 19+6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 10, 3, 46, 97 ]
36
[ "3+97=100", "100/10=10", "46-10=36" ]
Current State: 36:[10, 3, 46, 97], Operations: [] Exploring Operation: 3+97=100, Resulting Numbers: [10, 46, 100] Generated Node #2: [10, 46, 100] from Operation: 3+97=100 Current State: 36:[10, 46, 100], Operations: ['3+97=100'] Exploring Operation: 100/10=10, Resulting Numbers: [46, 10] Generated Node #3: [46, 10] from Operation: 100/10=10 Current State: 36:[46, 10], Operations: ['3+97=100', '100/10=10'] Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 7, 2, 35, 2 ]
45
[ "7-2=5", "2*5=10", "35+10=45" ]
Current State: 45:[7, 2, 35, 2], Operations: [] Exploring Operation: 7-2=5, Resulting Numbers: [35, 5] Generated Node #2: [35, 5] from Operation: 7-2=5 Current State: 45:[35, 5], Operations: ['7-2=5'] Exploring Operation: 2*5=10, Resulting Numbers: [35, 10] Generated Node #3: [35, 10] from Operation: 2*5=10 Current State: 45:[35, 10], Operations: ['7-2=5', '2*5=10'] Exploring Operation: 35+10=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 10, 67, 50, 86 ]
14
[ "50/10=5", "86-67=19", "19-5=14" ]
Current State: 14:[10, 67, 50, 86], Operations: [] Exploring Operation: 50/10=5, Resulting Numbers: [67, 86, 5] Generated Node #2: [67, 86, 5] from Operation: 50/10=5 Current State: 14:[67, 86, 5], Operations: ['50/10=5'] Exploring Operation: 86-67=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 86-67=19 Current State: 14:[5, 19], Operations: ['50/10=5', '86-67=19'] Exploring Operation: 19-5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 33, 87, 26, 84 ]
37
[ "87-84=3", "33/3=11", "26+11=37" ]
Current State: 37:[33, 87, 26, 84], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [33, 26, 3] Generated Node #2: [33, 26, 3] from Operation: 87-84=3 Current State: 37:[33, 26, 3], Operations: ['87-84=3'] Exploring Operation: 33/3=11, Resulting Numbers: [26, 11] Generated Node #3: [26, 11] from Operation: 33/3=11 Current State: 37:[26, 11], Operations: ['87-84=3', '33/3=11'] Exploring Operation: 26+11=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 5, 45, 2, 22 ]
42
[ "45-5=40", "40/2=20", "22+20=42" ]
Current State: 42:[5, 45, 2, 22], Operations: [] Exploring Operation: 45-5=40, Resulting Numbers: [2, 22, 40] Generated Node #2: [2, 22, 40] from Operation: 45-5=40 Current State: 42:[2, 22, 40], Operations: ['45-5=40'] Exploring Operation: 40/2=20, Resulting Numbers: [22, 20] Generated Node #3: [22, 20] from Operation: 40/2=20 Current State: 42:[22, 20], Operations: ['45-5=40', '40/2=20'] Exploring Operation: 22+20=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 92, 16, 22, 87 ]
43
[ "92+16=108", "87-22=65", "108-65=43" ]
Current State: 43:[92, 16, 22, 87], Operations: [] Exploring Operation: 92+16=108, Resulting Numbers: [22, 87, 108] Generated Node #2: [22, 87, 108] from Operation: 92+16=108 Current State: 43:[22, 87, 108], Operations: ['92+16=108'] Exploring Operation: 87-22=65, Resulting Numbers: [108, 65] Generated Node #3: [108, 65] from Operation: 87-22=65 Current State: 43:[108, 65], Operations: ['92+16=108', '87-22=65'] Exploring Operation: 108-65=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 23, 32, 45, 16 ]
34
[ "23+45=68", "32/16=2", "68/2=34" ]
Current State: 34:[23, 32, 45, 16], Operations: [] Exploring Operation: 23+45=68, Resulting Numbers: [32, 16, 68] Generated Node #2: [32, 16, 68] from Operation: 23+45=68 Current State: 34:[32, 16, 68], Operations: ['23+45=68'] Exploring Operation: 32/16=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 32/16=2 Current State: 34:[68, 2], Operations: ['23+45=68', '32/16=2'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 18, 30, 63, 60 ]
20
[ "60-18=42", "30*42=1260", "1260/63=20" ]
Current State: 20:[18, 30, 63, 60], Operations: [] Exploring Operation: 60-18=42, Resulting Numbers: [30, 63, 42] Generated Node #2: [30, 63, 42] from Operation: 60-18=42 Current State: 20:[30, 63, 42], Operations: ['60-18=42'] Exploring Operation: 30*42=1260, Resulting Numbers: [63, 1260] Generated Node #3: [63, 1260] from Operation: 30*42=1260 Current State: 20:[63, 1260], Operations: ['60-18=42', '30*42=1260'] Exploring Operation: 1260/63=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 68, 64, 38, 76 ]
36
[ "64*38=2432", "2432/76=32", "68-32=36" ]
Current State: 36:[68, 64, 38, 76], Operations: [] Exploring Operation: 64*38=2432, Resulting Numbers: [68, 76, 2432] Generated Node #2: [68, 76, 2432] from Operation: 64*38=2432 Current State: 36:[68, 76, 2432], Operations: ['64*38=2432'] Exploring Operation: 2432/76=32, Resulting Numbers: [68, 32] Generated Node #3: [68, 32] from Operation: 2432/76=32 Current State: 36:[68, 32], Operations: ['64*38=2432', '2432/76=32'] Exploring Operation: 68-32=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 44, 27, 72, 37 ]
75
[ "44+37=81", "81/27=3", "72+3=75" ]
Current State: 75:[44, 27, 72, 37], Operations: [] Exploring Operation: 44+37=81, Resulting Numbers: [27, 72, 81] Generated Node #2: [27, 72, 81] from Operation: 44+37=81 Current State: 75:[27, 72, 81], Operations: ['44+37=81'] Exploring Operation: 81/27=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 81/27=3 Current State: 75:[72, 3], Operations: ['44+37=81', '81/27=3'] Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 46, 73, 6, 36 ]
54
[ "73-46=27", "36-27=9", "6*9=54" ]
Current State: 54:[46, 73, 6, 36], Operations: [] Exploring Operation: 73-46=27, Resulting Numbers: [6, 36, 27] Generated Node #2: [6, 36, 27] from Operation: 73-46=27 Current State: 54:[6, 36, 27], Operations: ['73-46=27'] Exploring Operation: 36-27=9, Resulting Numbers: [6, 9] Generated Node #3: [6, 9] from Operation: 36-27=9 Current State: 54:[6, 9], Operations: ['73-46=27', '36-27=9'] Exploring Operation: 6*9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 11, 82, 6, 29 ]
63
[ "11-6=5", "29*5=145", "145-82=63" ]
Current State: 63:[11, 82, 6, 29], Operations: [] Exploring Operation: 11-6=5, Resulting Numbers: [82, 29, 5] Generated Node #2: [82, 29, 5] from Operation: 11-6=5 Current State: 63:[82, 29, 5], Operations: ['11-6=5'] Exploring Operation: 29*5=145, Resulting Numbers: [82, 145] Generated Node #3: [82, 145] from Operation: 29*5=145 Current State: 63:[82, 145], Operations: ['11-6=5', '29*5=145'] Exploring Operation: 145-82=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 3, 39, 54, 93 ]
72
[ "54/3=18", "93-39=54", "18+54=72" ]
Current State: 72:[3, 39, 54, 93], Operations: [] Exploring Operation: 54/3=18, Resulting Numbers: [39, 93, 18] Generated Node #2: [39, 93, 18] from Operation: 54/3=18 Current State: 72:[39, 93, 18], Operations: ['54/3=18'] Exploring Operation: 93-39=54, Resulting Numbers: [18, 54] Generated Node #3: [18, 54] from Operation: 93-39=54 Current State: 72:[18, 54], Operations: ['54/3=18', '93-39=54'] Exploring Operation: 18+54=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 75, 22, 55, 31 ]
57
[ "75-31=44", "44/22=2", "55+2=57" ]
Current State: 57:[75, 22, 55, 31], Operations: [] Exploring Operation: 75-31=44, Resulting Numbers: [22, 55, 44] Generated Node #2: [22, 55, 44] from Operation: 75-31=44 Current State: 57:[22, 55, 44], Operations: ['75-31=44'] Exploring Operation: 44/22=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 44/22=2 Current State: 57:[55, 2], Operations: ['75-31=44', '44/22=2'] Exploring Operation: 55+2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 30, 70, 35, 76 ]
23
[ "76-30=46", "70/35=2", "46/2=23" ]
Current State: 23:[30, 70, 35, 76], Operations: [] Exploring Operation: 76-30=46, Resulting Numbers: [70, 35, 46] Generated Node #2: [70, 35, 46] from Operation: 76-30=46 Current State: 23:[70, 35, 46], Operations: ['76-30=46'] Exploring Operation: 70/35=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 70/35=2 Current State: 23:[46, 2], Operations: ['76-30=46', '70/35=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 89, 12, 21, 14 ]
71
[ "12*21=252", "252/14=18", "89-18=71" ]
Current State: 71:[89, 12, 21, 14], Operations: [] Exploring Operation: 12*21=252, Resulting Numbers: [89, 14, 252] Generated Node #2: [89, 14, 252] from Operation: 12*21=252 Current State: 71:[89, 14, 252], Operations: ['12*21=252'] Exploring Operation: 252/14=18, Resulting Numbers: [89, 18] Generated Node #3: [89, 18] from Operation: 252/14=18 Current State: 71:[89, 18], Operations: ['12*21=252', '252/14=18'] Exploring Operation: 89-18=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 59, 82, 62, 36 ]
75
[ "82-59=23", "62+36=98", "98-23=75" ]
Current State: 75:[59, 82, 62, 36], Operations: [] Exploring Operation: 82-59=23, Resulting Numbers: [62, 36, 23] Generated Node #2: [62, 36, 23] from Operation: 82-59=23 Current State: 75:[62, 36, 23], Operations: ['82-59=23'] Exploring Operation: 62+36=98, Resulting Numbers: [23, 98] Generated Node #3: [23, 98] from Operation: 62+36=98 Current State: 75:[23, 98], Operations: ['82-59=23', '62+36=98'] Exploring Operation: 98-23=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 21, 29, 82, 39 ]
35
[ "29-21=8", "82-39=43", "43-8=35" ]
Current State: 35:[21, 29, 82, 39], Operations: [] Exploring Operation: 29-21=8, Resulting Numbers: [82, 39, 8] Generated Node #2: [82, 39, 8] from Operation: 29-21=8 Current State: 35:[82, 39, 8], Operations: ['29-21=8'] Exploring Operation: 82-39=43, Resulting Numbers: [8, 43] Generated Node #3: [8, 43] from Operation: 82-39=43 Current State: 35:[8, 43], Operations: ['29-21=8', '82-39=43'] Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 7, 37, 77, 42 ]
54
[ "77+42=119", "119/7=17", "37+17=54" ]
Current State: 54:[7, 37, 77, 42], Operations: [] Exploring Operation: 77+42=119, Resulting Numbers: [7, 37, 119] Generated Node #2: [7, 37, 119] from Operation: 77+42=119 Current State: 54:[7, 37, 119], Operations: ['77+42=119'] Exploring Operation: 119/7=17, Resulting Numbers: [37, 17] Generated Node #3: [37, 17] from Operation: 119/7=17 Current State: 54:[37, 17], Operations: ['77+42=119', '119/7=17'] Exploring Operation: 37+17=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 27, 42, 37, 4 ]
97
[ "42-27=15", "4*15=60", "37+60=97" ]
Current State: 97:[27, 42, 37, 4], Operations: [] Exploring Operation: 42-27=15, Resulting Numbers: [37, 4, 15] Generated Node #2: [37, 4, 15] from Operation: 42-27=15 Current State: 97:[37, 4, 15], Operations: ['42-27=15'] Exploring Operation: 4*15=60, Resulting Numbers: [37, 60] Generated Node #3: [37, 60] from Operation: 4*15=60 Current State: 97:[37, 60], Operations: ['42-27=15', '4*15=60'] Exploring Operation: 37+60=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 12, 87, 64, 21 ]
56
[ "12+87=99", "64-21=43", "99-43=56" ]
Current State: 56:[12, 87, 64, 21], Operations: [] Exploring Operation: 12+87=99, Resulting Numbers: [64, 21, 99] Generated Node #2: [64, 21, 99] from Operation: 12+87=99 Current State: 56:[64, 21, 99], Operations: ['12+87=99'] Exploring Operation: 64-21=43, Resulting Numbers: [99, 43] Generated Node #3: [99, 43] from Operation: 64-21=43 Current State: 56:[99, 43], Operations: ['12+87=99', '64-21=43'] Exploring Operation: 99-43=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 94, 49, 69, 75 ]
46
[ "94-69=25", "75/25=3", "49-3=46" ]
Current State: 46:[94, 49, 69, 75], Operations: [] Exploring Operation: 94-69=25, Resulting Numbers: [49, 75, 25] Generated Node #2: [49, 75, 25] from Operation: 94-69=25 Current State: 46:[49, 75, 25], Operations: ['94-69=25'] Exploring Operation: 75/25=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 75/25=3 Current State: 46:[49, 3], Operations: ['94-69=25', '75/25=3'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 10, 33, 52, 40 ]
69
[ "33-10=23", "52+40=92", "92-23=69" ]
Current State: 69:[10, 33, 52, 40], Operations: [] Exploring Operation: 33-10=23, Resulting Numbers: [52, 40, 23] Generated Node #2: [52, 40, 23] from Operation: 33-10=23 Current State: 69:[52, 40, 23], Operations: ['33-10=23'] Exploring Operation: 52+40=92, Resulting Numbers: [23, 92] Generated Node #3: [23, 92] from Operation: 52+40=92 Current State: 69:[23, 92], Operations: ['33-10=23', '52+40=92'] Exploring Operation: 92-23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 66, 84, 67, 73 ]
11
[ "67-66=1", "84-73=11", "1*11=11" ]
Current State: 11:[66, 84, 67, 73], Operations: [] Exploring Operation: 67-66=1, Resulting Numbers: [84, 73, 1] Generated Node #2: [84, 73, 1] from Operation: 67-66=1 Current State: 11:[84, 73, 1], Operations: ['67-66=1'] Exploring Operation: 84-73=11, Resulting Numbers: [1, 11] Generated Node #3: [1, 11] from Operation: 84-73=11 Current State: 11:[1, 11], Operations: ['67-66=1', '84-73=11'] Exploring Operation: 1*11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 29, 21, 92, 69 ]
66
[ "92-29=63", "63/21=3", "69-3=66" ]
Current State: 66:[29, 21, 92, 69], Operations: [] Exploring Operation: 92-29=63, Resulting Numbers: [21, 69, 63] Generated Node #2: [21, 69, 63] from Operation: 92-29=63 Current State: 66:[21, 69, 63], Operations: ['92-29=63'] Exploring Operation: 63/21=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 63/21=3 Current State: 66:[69, 3], Operations: ['92-29=63', '63/21=3'] Exploring Operation: 69-3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 40, 19, 7, 31 ]
97
[ "40+19=59", "7+31=38", "59+38=97" ]
Current State: 97:[40, 19, 7, 31], Operations: [] Exploring Operation: 40+19=59, Resulting Numbers: [7, 31, 59] Generated Node #2: [7, 31, 59] from Operation: 40+19=59 Current State: 97:[7, 31, 59], Operations: ['40+19=59'] Exploring Operation: 7+31=38, Resulting Numbers: [59, 38] Generated Node #3: [59, 38] from Operation: 7+31=38 Current State: 97:[59, 38], Operations: ['40+19=59', '7+31=38'] Exploring Operation: 59+38=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 4, 3, 39, 80 ]
28
[ "4*39=156", "156/3=52", "80-52=28" ]
Current State: 28:[4, 3, 39, 80], Operations: [] Exploring Operation: 4*39=156, Resulting Numbers: [3, 80, 156] Generated Node #2: [3, 80, 156] from Operation: 4*39=156 Current State: 28:[3, 80, 156], Operations: ['4*39=156'] Exploring Operation: 156/3=52, Resulting Numbers: [80, 52] Generated Node #3: [80, 52] from Operation: 156/3=52 Current State: 28:[80, 52], Operations: ['4*39=156', '156/3=52'] Exploring Operation: 80-52=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 99, 20, 3, 61 ]
21
[ "99-20=79", "61-3=58", "79-58=21" ]
Current State: 21:[99, 20, 3, 61], Operations: [] Exploring Operation: 99-20=79, Resulting Numbers: [3, 61, 79] Generated Node #2: [3, 61, 79] from Operation: 99-20=79 Current State: 21:[3, 61, 79], Operations: ['99-20=79'] Exploring Operation: 61-3=58, Resulting Numbers: [79, 58] Generated Node #3: [79, 58] from Operation: 61-3=58 Current State: 21:[79, 58], Operations: ['99-20=79', '61-3=58'] Exploring Operation: 79-58=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 36, 33, 54, 78 ]
47
[ "33*78=2574", "2574-36=2538", "2538/54=47" ]
Current State: 47:[36, 33, 54, 78], Operations: [] Exploring Operation: 33*78=2574, Resulting Numbers: [36, 54, 2574] Generated Node #2: [36, 54, 2574] from Operation: 33*78=2574 Current State: 47:[36, 54, 2574], Operations: ['33*78=2574'] Exploring Operation: 2574-36=2538, Resulting Numbers: [54, 2538] Generated Node #3: [54, 2538] from Operation: 2574-36=2538 Current State: 47:[54, 2538], Operations: ['33*78=2574', '2574-36=2538'] Exploring Operation: 2538/54=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 56, 63, 70, 63 ]
56
[ "63-63=0", "70*0=0", "56+0=56" ]
Current State: 56:[56, 63, 70, 63], Operations: [] Exploring Operation: 63-63=0, Resulting Numbers: [56, 70, 0] Generated Node #2: [56, 70, 0] from Operation: 63-63=0 Current State: 56:[56, 70, 0], Operations: ['63-63=0'] Exploring Operation: 70*0=0, Resulting Numbers: [56, 0] Generated Node #3: [56, 0] from Operation: 70*0=0 Current State: 56:[56, 0], Operations: ['63-63=0', '70*0=0'] Exploring Operation: 56+0=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 80, 77, 36, 8 ]
25
[ "80-77=3", "36-8=28", "28-3=25" ]
Current State: 25:[80, 77, 36, 8], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [36, 8, 3] Generated Node #2: [36, 8, 3] from Operation: 80-77=3 Current State: 25:[36, 8, 3], Operations: ['80-77=3'] Exploring Operation: 36-8=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 36-8=28 Current State: 25:[3, 28], Operations: ['80-77=3', '36-8=28'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 32, 81, 84, 42 ]
17
[ "32*84=2688", "2688/42=64", "81-64=17" ]
Current State: 17:[32, 81, 84, 42], Operations: [] Exploring Operation: 32*84=2688, Resulting Numbers: [81, 42, 2688] Generated Node #2: [81, 42, 2688] from Operation: 32*84=2688 Current State: 17:[81, 42, 2688], Operations: ['32*84=2688'] Exploring Operation: 2688/42=64, Resulting Numbers: [81, 64] Generated Node #3: [81, 64] from Operation: 2688/42=64 Current State: 17:[81, 64], Operations: ['32*84=2688', '2688/42=64'] Exploring Operation: 81-64=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 92, 15, 43, 2 ]
83
[ "92-43=49", "2*49=98", "98-15=83" ]
Current State: 83:[92, 15, 43, 2], Operations: [] Exploring Operation: 92-43=49, Resulting Numbers: [15, 2, 49] Generated Node #2: [15, 2, 49] from Operation: 92-43=49 Current State: 83:[15, 2, 49], Operations: ['92-43=49'] Exploring Operation: 2*49=98, Resulting Numbers: [15, 98] Generated Node #3: [15, 98] from Operation: 2*49=98 Current State: 83:[15, 98], Operations: ['92-43=49', '2*49=98'] Exploring Operation: 98-15=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 47, 53, 94, 13 ]
19
[ "47+53=100", "94-13=81", "100-81=19" ]
Current State: 19:[47, 53, 94, 13], Operations: [] Exploring Operation: 47+53=100, Resulting Numbers: [94, 13, 100] Generated Node #2: [94, 13, 100] from Operation: 47+53=100 Current State: 19:[94, 13, 100], Operations: ['47+53=100'] Exploring Operation: 94-13=81, Resulting Numbers: [100, 81] Generated Node #3: [100, 81] from Operation: 94-13=81 Current State: 19:[100, 81], Operations: ['47+53=100', '94-13=81'] Exploring Operation: 100-81=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 61, 88, 2, 89 ]
31
[ "88-61=27", "89-27=62", "62/2=31" ]
Current State: 31:[61, 88, 2, 89], Operations: [] Exploring Operation: 88-61=27, Resulting Numbers: [2, 89, 27] Generated Node #2: [2, 89, 27] from Operation: 88-61=27 Current State: 31:[2, 89, 27], Operations: ['88-61=27'] Exploring Operation: 89-27=62, Resulting Numbers: [2, 62] Generated Node #3: [2, 62] from Operation: 89-27=62 Current State: 31:[2, 62], Operations: ['88-61=27', '89-27=62'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 96, 55, 88, 72 ]
44
[ "88-55=33", "96*33=3168", "3168/72=44" ]
Current State: 44:[96, 55, 88, 72], Operations: [] Exploring Operation: 88-55=33, Resulting Numbers: [96, 72, 33] Generated Node #2: [96, 72, 33] from Operation: 88-55=33 Current State: 44:[96, 72, 33], Operations: ['88-55=33'] Exploring Operation: 96*33=3168, Resulting Numbers: [72, 3168] Generated Node #3: [72, 3168] from Operation: 96*33=3168 Current State: 44:[72, 3168], Operations: ['88-55=33', '96*33=3168'] Exploring Operation: 3168/72=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 25, 57, 64, 3 ]
20
[ "64-25=39", "57/3=19", "39-19=20" ]
Current State: 20:[25, 57, 64, 3], Operations: [] Exploring Operation: 64-25=39, Resulting Numbers: [57, 3, 39] Generated Node #2: [57, 3, 39] from Operation: 64-25=39 Current State: 20:[57, 3, 39], Operations: ['64-25=39'] Exploring Operation: 57/3=19, Resulting Numbers: [39, 19] Generated Node #3: [39, 19] from Operation: 57/3=19 Current State: 20:[39, 19], Operations: ['64-25=39', '57/3=19'] Exploring Operation: 39-19=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 54, 72, 53, 52 ]
38
[ "54-52=2", "72-53=19", "2*19=38" ]
Current State: 38:[54, 72, 53, 52], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [72, 53, 2] Generated Node #2: [72, 53, 2] from Operation: 54-52=2 Current State: 38:[72, 53, 2], Operations: ['54-52=2'] Exploring Operation: 72-53=19, Resulting Numbers: [2, 19] Generated Node #3: [2, 19] from Operation: 72-53=19 Current State: 38:[2, 19], Operations: ['54-52=2', '72-53=19'] Exploring Operation: 2*19=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 76, 88, 71, 17 ]
66
[ "88-76=12", "71-17=54", "12+54=66" ]
Current State: 66:[76, 88, 71, 17], Operations: [] Exploring Operation: 88-76=12, Resulting Numbers: [71, 17, 12] Generated Node #2: [71, 17, 12] from Operation: 88-76=12 Current State: 66:[71, 17, 12], Operations: ['88-76=12'] Exploring Operation: 71-17=54, Resulting Numbers: [12, 54] Generated Node #3: [12, 54] from Operation: 71-17=54 Current State: 66:[12, 54], Operations: ['88-76=12', '71-17=54'] Exploring Operation: 12+54=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 16, 53, 90, 16 ]
69
[ "53-16=37", "90+16=106", "106-37=69" ]
Current State: 69:[16, 53, 90, 16], Operations: [] Exploring Operation: 53-16=37, Resulting Numbers: [90, 37] Generated Node #2: [90, 37] from Operation: 53-16=37 Current State: 69:[90, 37], Operations: ['53-16=37'] Exploring Operation: 90+16=106, Resulting Numbers: [37, 106] Generated Node #3: [37, 106] from Operation: 90+16=106 Current State: 69:[37, 106], Operations: ['53-16=37', '90+16=106'] Exploring Operation: 106-37=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 61, 20, 90, 87 ]
17
[ "90-61=29", "87/29=3", "20-3=17" ]
Current State: 17:[61, 20, 90, 87], Operations: [] Exploring Operation: 90-61=29, Resulting Numbers: [20, 87, 29] Generated Node #2: [20, 87, 29] from Operation: 90-61=29 Current State: 17:[20, 87, 29], Operations: ['90-61=29'] Exploring Operation: 87/29=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 87/29=3 Current State: 17:[20, 3], Operations: ['90-61=29', '87/29=3'] Exploring Operation: 20-3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 65, 40, 40, 26 ]
40
[ "65-40=25", "26-25=1", "40*1=40" ]
Current State: 40:[65, 40, 40, 26], Operations: [] Exploring Operation: 65-40=25, Resulting Numbers: [26, 25] Generated Node #2: [26, 25] from Operation: 65-40=25 Current State: 40:[26, 25], Operations: ['65-40=25'] Exploring Operation: 26-25=1, Resulting Numbers: [1] 1,40 equal: Goal Reached Exploring Operation: 40*1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 25, 63, 80, 80 ]
25
[ "80-80=0", "63*0=0", "25+0=25" ]
Current State: 25:[25, 63, 80, 80], Operations: [] Exploring Operation: 80-80=0, Resulting Numbers: [25, 63, 0] Generated Node #2: [25, 63, 0] from Operation: 80-80=0 Current State: 25:[25, 63, 0], Operations: ['80-80=0'] Exploring Operation: 63*0=0, Resulting Numbers: [25, 0] Generated Node #3: [25, 0] from Operation: 63*0=0 Current State: 25:[25, 0], Operations: ['80-80=0', '63*0=0'] Exploring Operation: 25+0=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 59, 81, 76, 43 ]
61
[ "81-43=38", "76/38=2", "59+2=61" ]
Current State: 61:[59, 81, 76, 43], Operations: [] Exploring Operation: 81-43=38, Resulting Numbers: [59, 76, 38] Generated Node #2: [59, 76, 38] from Operation: 81-43=38 Current State: 61:[59, 76, 38], Operations: ['81-43=38'] Exploring Operation: 76/38=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 76/38=2 Current State: 61:[59, 2], Operations: ['81-43=38', '76/38=2'] Exploring Operation: 59+2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 83, 52, 69, 87 ]
86
[ "69+87=156", "156/52=3", "83+3=86" ]
Current State: 86:[83, 52, 69, 87], Operations: [] Exploring Operation: 69+87=156, Resulting Numbers: [83, 52, 156] Generated Node #2: [83, 52, 156] from Operation: 69+87=156 Current State: 86:[83, 52, 156], Operations: ['69+87=156'] Exploring Operation: 156/52=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 156/52=3 Current State: 86:[83, 3], Operations: ['69+87=156', '156/52=3'] Exploring Operation: 83+3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 69, 91, 40, 55 ]
37
[ "91-69=22", "55-40=15", "22+15=37" ]
Current State: 37:[69, 91, 40, 55], Operations: [] Exploring Operation: 91-69=22, Resulting Numbers: [40, 55, 22] Generated Node #2: [40, 55, 22] from Operation: 91-69=22 Current State: 37:[40, 55, 22], Operations: ['91-69=22'] Exploring Operation: 55-40=15, Resulting Numbers: [22, 15] Generated Node #3: [22, 15] from Operation: 55-40=15 Current State: 37:[22, 15], Operations: ['91-69=22', '55-40=15'] Exploring Operation: 22+15=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 28, 61, 7, 68 ]
67
[ "28*7=196", "61+68=129", "196-129=67" ]
Current State: 67:[28, 61, 7, 68], Operations: [] Exploring Operation: 28*7=196, Resulting Numbers: [61, 68, 196] Generated Node #2: [61, 68, 196] from Operation: 28*7=196 Current State: 67:[61, 68, 196], Operations: ['28*7=196'] Exploring Operation: 61+68=129, Resulting Numbers: [196, 129] Generated Node #3: [196, 129] from Operation: 61+68=129 Current State: 67:[196, 129], Operations: ['28*7=196', '61+68=129'] Exploring Operation: 196-129=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 73, 12, 48, 71 ]
12
[ "73-71=2", "48/2=24", "24-12=12" ]
Current State: 12:[73, 12, 48, 71], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [12, 48, 2] Generated Node #2: [12, 48, 2] from Operation: 73-71=2 Current State: 12:[12, 48, 2], Operations: ['73-71=2'] Exploring Operation: 48/2=24, Resulting Numbers: [12, 24] Generated Node #3: [12, 24] from Operation: 48/2=24 Current State: 12:[12, 24], Operations: ['73-71=2', '48/2=24'] Exploring Operation: 24-12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 80, 2, 24, 95 ]
27
[ "95-80=15", "24/2=12", "15+12=27" ]
Current State: 27:[80, 2, 24, 95], Operations: [] Exploring Operation: 95-80=15, Resulting Numbers: [2, 24, 15] Generated Node #2: [2, 24, 15] from Operation: 95-80=15 Current State: 27:[2, 24, 15], Operations: ['95-80=15'] Exploring Operation: 24/2=12, Resulting Numbers: [15, 12] Generated Node #3: [15, 12] from Operation: 24/2=12 Current State: 27:[15, 12], Operations: ['95-80=15', '24/2=12'] Exploring Operation: 15+12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 78, 14, 71, 47 ]
26
[ "78+14=92", "71+47=118", "118-92=26" ]
Current State: 26:[78, 14, 71, 47], Operations: [] Exploring Operation: 78+14=92, Resulting Numbers: [71, 47, 92] Generated Node #2: [71, 47, 92] from Operation: 78+14=92 Current State: 26:[71, 47, 92], Operations: ['78+14=92'] Exploring Operation: 71+47=118, Resulting Numbers: [92, 118] Generated Node #3: [92, 118] from Operation: 71+47=118 Current State: 26:[92, 118], Operations: ['78+14=92', '71+47=118'] Exploring Operation: 118-92=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 86, 99, 95, 62 ]
73
[ "95-86=9", "99/9=11", "62+11=73" ]
Current State: 73:[86, 99, 95, 62], Operations: [] Exploring Operation: 95-86=9, Resulting Numbers: [99, 62, 9] Generated Node #2: [99, 62, 9] from Operation: 95-86=9 Current State: 73:[99, 62, 9], Operations: ['95-86=9'] Exploring Operation: 99/9=11, Resulting Numbers: [62, 11] Generated Node #3: [62, 11] from Operation: 99/9=11 Current State: 73:[62, 11], Operations: ['95-86=9', '99/9=11'] Exploring Operation: 62+11=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 78, 69, 2, 48 ]
54
[ "78-48=30", "30/2=15", "69-15=54" ]
Current State: 54:[78, 69, 2, 48], Operations: [] Exploring Operation: 78-48=30, Resulting Numbers: [69, 2, 30] Generated Node #2: [69, 2, 30] from Operation: 78-48=30 Current State: 54:[69, 2, 30], Operations: ['78-48=30'] Exploring Operation: 30/2=15, Resulting Numbers: [69, 15] Generated Node #3: [69, 15] from Operation: 30/2=15 Current State: 54:[69, 15], Operations: ['78-48=30', '30/2=15'] Exploring Operation: 69-15=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 49, 96, 58, 55 ]
81
[ "58-55=3", "96/3=32", "49+32=81" ]
Current State: 81:[49, 96, 58, 55], Operations: [] Exploring Operation: 58-55=3, Resulting Numbers: [49, 96, 3] Generated Node #2: [49, 96, 3] from Operation: 58-55=3 Current State: 81:[49, 96, 3], Operations: ['58-55=3'] Exploring Operation: 96/3=32, Resulting Numbers: [49, 32] Generated Node #3: [49, 32] from Operation: 96/3=32 Current State: 81:[49, 32], Operations: ['58-55=3', '96/3=32'] Exploring Operation: 49+32=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 35, 8, 37, 4 ]
33
[ "35*8=280", "280/4=70", "70-37=33" ]
Current State: 33:[35, 8, 37, 4], Operations: [] Exploring Operation: 35*8=280, Resulting Numbers: [37, 4, 280] Generated Node #2: [37, 4, 280] from Operation: 35*8=280 Current State: 33:[37, 4, 280], Operations: ['35*8=280'] Exploring Operation: 280/4=70, Resulting Numbers: [37, 70] Generated Node #3: [37, 70] from Operation: 280/4=70 Current State: 33:[37, 70], Operations: ['35*8=280', '280/4=70'] Exploring Operation: 70-37=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 29, 91, 96, 78 ]
97
[ "96+78=174", "174/29=6", "91+6=97" ]
Current State: 97:[29, 91, 96, 78], Operations: [] Exploring Operation: 96+78=174, Resulting Numbers: [29, 91, 174] Generated Node #2: [29, 91, 174] from Operation: 96+78=174 Current State: 97:[29, 91, 174], Operations: ['96+78=174'] Exploring Operation: 174/29=6, Resulting Numbers: [91, 6] Generated Node #3: [91, 6] from Operation: 174/29=6 Current State: 97:[91, 6], Operations: ['96+78=174', '174/29=6'] Exploring Operation: 91+6=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 18, 39, 42, 34 ]
20
[ "42-39=3", "18*3=54", "54-34=20" ]
Current State: 20:[18, 39, 42, 34], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [18, 34, 3] Generated Node #2: [18, 34, 3] from Operation: 42-39=3 Current State: 20:[18, 34, 3], Operations: ['42-39=3'] Exploring Operation: 18*3=54, Resulting Numbers: [34, 54] Generated Node #3: [34, 54] from Operation: 18*3=54 Current State: 20:[34, 54], Operations: ['42-39=3', '18*3=54'] Exploring Operation: 54-34=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 81, 35, 95, 59 ]
81
[ "95-35=60", "60-59=1", "81*1=81" ]
Current State: 81:[81, 35, 95, 59], Operations: [] Exploring Operation: 95-35=60, Resulting Numbers: [81, 59, 60] Generated Node #2: [81, 59, 60] from Operation: 95-35=60 Current State: 81:[81, 59, 60], Operations: ['95-35=60'] Exploring Operation: 60-59=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 60-59=1 Current State: 81:[81, 1], Operations: ['95-35=60', '60-59=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 33, 18, 69, 17 ]
67
[ "33-18=15", "69-17=52", "15+52=67" ]
Current State: 67:[33, 18, 69, 17], Operations: [] Exploring Operation: 33-18=15, Resulting Numbers: [69, 17, 15] Generated Node #2: [69, 17, 15] from Operation: 33-18=15 Current State: 67:[69, 17, 15], Operations: ['33-18=15'] Exploring Operation: 69-17=52, Resulting Numbers: [15, 52] Generated Node #3: [15, 52] from Operation: 69-17=52 Current State: 67:[15, 52], Operations: ['33-18=15', '69-17=52'] Exploring Operation: 15+52=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 25, 77, 3, 2 ]
78
[ "77-25=52", "3*52=156", "156/2=78" ]
Current State: 78:[25, 77, 3, 2], Operations: [] Exploring Operation: 77-25=52, Resulting Numbers: [3, 2, 52] Generated Node #2: [3, 2, 52] from Operation: 77-25=52 Current State: 78:[3, 2, 52], Operations: ['77-25=52'] Exploring Operation: 3*52=156, Resulting Numbers: [2, 156] Generated Node #3: [2, 156] from Operation: 3*52=156 Current State: 78:[2, 156], Operations: ['77-25=52', '3*52=156'] Exploring Operation: 156/2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 83, 32, 3, 62 ]
91
[ "83-32=51", "3*51=153", "153-62=91" ]
Current State: 91:[83, 32, 3, 62], Operations: [] Exploring Operation: 83-32=51, Resulting Numbers: [3, 62, 51] Generated Node #2: [3, 62, 51] from Operation: 83-32=51 Current State: 91:[3, 62, 51], Operations: ['83-32=51'] Exploring Operation: 3*51=153, Resulting Numbers: [62, 153] Generated Node #3: [62, 153] from Operation: 3*51=153 Current State: 91:[62, 153], Operations: ['83-32=51', '3*51=153'] Exploring Operation: 153-62=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 75, 78, 24, 98 ]
71
[ "78-75=3", "98-24=74", "74-3=71" ]
Current State: 71:[75, 78, 24, 98], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [24, 98, 3] Generated Node #2: [24, 98, 3] from Operation: 78-75=3 Current State: 71:[24, 98, 3], Operations: ['78-75=3'] Exploring Operation: 98-24=74, Resulting Numbers: [3, 74] Generated Node #3: [3, 74] from Operation: 98-24=74 Current State: 71:[3, 74], Operations: ['78-75=3', '98-24=74'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 8, 36, 2, 88 ]
94
[ "8-2=6", "36/6=6", "88+6=94" ]
Current State: 94:[8, 36, 2, 88], Operations: [] Exploring Operation: 8-2=6, Resulting Numbers: [36, 88, 6] Generated Node #2: [36, 88, 6] from Operation: 8-2=6 Current State: 94:[36, 88, 6], Operations: ['8-2=6'] Exploring Operation: 36/6=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 36/6=6 Current State: 94:[88, 6], Operations: ['8-2=6', '36/6=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 2, 64, 92, 2 ]
28
[ "2+64=66", "92+2=94", "94-66=28" ]
Current State: 28:[2, 64, 92, 2], Operations: [] Exploring Operation: 2+64=66, Resulting Numbers: [92, 66] Generated Node #2: [92, 66] from Operation: 2+64=66 Current State: 28:[92, 66], Operations: ['2+64=66'] Exploring Operation: 92+2=94, Resulting Numbers: [66, 94] Generated Node #3: [66, 94] from Operation: 92+2=94 Current State: 28:[66, 94], Operations: ['2+64=66', '92+2=94'] Exploring Operation: 94-66=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 96, 46, 52, 44 ]
74
[ "96+52=148", "46-44=2", "148/2=74" ]
Current State: 74:[96, 46, 52, 44], Operations: [] Exploring Operation: 96+52=148, Resulting Numbers: [46, 44, 148] Generated Node #2: [46, 44, 148] from Operation: 96+52=148 Current State: 74:[46, 44, 148], Operations: ['96+52=148'] Exploring Operation: 46-44=2, Resulting Numbers: [148, 2] Generated Node #3: [148, 2] from Operation: 46-44=2 Current State: 74:[148, 2], Operations: ['96+52=148', '46-44=2'] Exploring Operation: 148/2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 63, 89, 21, 84 ]
31
[ "89*21=1869", "84+1869=1953", "1953/63=31" ]
Current State: 31:[63, 89, 21, 84], Operations: [] Exploring Operation: 89*21=1869, Resulting Numbers: [63, 84, 1869] Generated Node #2: [63, 84, 1869] from Operation: 89*21=1869 Current State: 31:[63, 84, 1869], Operations: ['89*21=1869'] Exploring Operation: 84+1869=1953, Resulting Numbers: [63, 1953] Generated Node #3: [63, 1953] from Operation: 84+1869=1953 Current State: 31:[63, 1953], Operations: ['89*21=1869', '84+1869=1953'] Exploring Operation: 1953/63=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 49, 16, 16, 96 ]
15
[ "49+16=65", "96-16=80", "80-65=15" ]
Current State: 15:[49, 16, 16, 96], Operations: [] Exploring Operation: 49+16=65, Resulting Numbers: [96, 65] Generated Node #2: [96, 65] from Operation: 49+16=65 Current State: 15:[96, 65], Operations: ['49+16=65'] Exploring Operation: 96-16=80, Resulting Numbers: [65, 80] Generated Node #3: [65, 80] from Operation: 96-16=80 Current State: 15:[65, 80], Operations: ['49+16=65', '96-16=80'] Exploring Operation: 80-65=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 24, 45, 33, 12 ]
15
[ "33-24=9", "12-9=3", "45/3=15" ]
Current State: 15:[24, 45, 33, 12], Operations: [] Exploring Operation: 33-24=9, Resulting Numbers: [45, 12, 9] Generated Node #2: [45, 12, 9] from Operation: 33-24=9 Current State: 15:[45, 12, 9], Operations: ['33-24=9'] Exploring Operation: 12-9=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 12-9=3 Current State: 15:[45, 3], Operations: ['33-24=9', '12-9=3'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 7, 6, 46, 2 ]
31
[ "7+6=13", "46-2=44", "44-13=31" ]
Current State: 31:[7, 6, 46, 2], Operations: [] Exploring Operation: 7+6=13, Resulting Numbers: [46, 2, 13] Generated Node #2: [46, 2, 13] from Operation: 7+6=13 Current State: 31:[46, 2, 13], Operations: ['7+6=13'] Exploring Operation: 46-2=44, Resulting Numbers: [13, 44] Generated Node #3: [13, 44] from Operation: 46-2=44 Current State: 31:[13, 44], Operations: ['7+6=13', '46-2=44'] Exploring Operation: 44-13=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 1, 6, 75, 44 ]
20
[ "1+75=76", "44+76=120", "120/6=20" ]
Current State: 20:[1, 6, 75, 44], Operations: [] Exploring Operation: 1+75=76, Resulting Numbers: [6, 44, 76] Generated Node #2: [6, 44, 76] from Operation: 1+75=76 Current State: 20:[6, 44, 76], Operations: ['1+75=76'] Exploring Operation: 44+76=120, Resulting Numbers: [6, 120] Generated Node #3: [6, 120] from Operation: 44+76=120 Current State: 20:[6, 120], Operations: ['1+75=76', '44+76=120'] Exploring Operation: 120/6=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 67, 67, 50, 45 ]
50
[ "67-67=0", "45*0=0", "50+0=50" ]
Current State: 50:[67, 67, 50, 45], Operations: [] Exploring Operation: 67-67=0, Resulting Numbers: [50, 45, 0] Generated Node #2: [50, 45, 0] from Operation: 67-67=0 Current State: 50:[50, 45, 0], Operations: ['67-67=0'] Exploring Operation: 45*0=0, Resulting Numbers: [50, 0] Generated Node #3: [50, 0] from Operation: 45*0=0 Current State: 50:[50, 0], Operations: ['67-67=0', '45*0=0'] Exploring Operation: 50+0=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 47, 62, 59, 85 ]
11
[ "62-47=15", "85-59=26", "26-15=11" ]
Current State: 11:[47, 62, 59, 85], Operations: [] Exploring Operation: 62-47=15, Resulting Numbers: [59, 85, 15] Generated Node #2: [59, 85, 15] from Operation: 62-47=15 Current State: 11:[59, 85, 15], Operations: ['62-47=15'] Exploring Operation: 85-59=26, Resulting Numbers: [15, 26] Generated Node #3: [15, 26] from Operation: 85-59=26 Current State: 11:[15, 26], Operations: ['62-47=15', '85-59=26'] Exploring Operation: 26-15=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 54, 78, 65, 48 ]
85
[ "54+48=102", "65*102=6630", "6630/78=85" ]
Current State: 85:[54, 78, 65, 48], Operations: [] Exploring Operation: 54+48=102, Resulting Numbers: [78, 65, 102] Generated Node #2: [78, 65, 102] from Operation: 54+48=102 Current State: 85:[78, 65, 102], Operations: ['54+48=102'] Exploring Operation: 65*102=6630, Resulting Numbers: [78, 6630] Generated Node #3: [78, 6630] from Operation: 65*102=6630 Current State: 85:[78, 6630], Operations: ['54+48=102', '65*102=6630'] Exploring Operation: 6630/78=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 35, 46, 52, 47 ]
87
[ "35+52=87", "47-46=1", "87*1=87" ]
Current State: 87:[35, 46, 52, 47], Operations: [] Exploring Operation: 35+52=87, Resulting Numbers: [46, 47, 87] Generated Node #2: [46, 47, 87] from Operation: 35+52=87 Current State: 87:[46, 47, 87], Operations: ['35+52=87'] Exploring Operation: 47-46=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 47-46=1 Current State: 87:[87, 1], Operations: ['35+52=87', '47-46=1'] Exploring Operation: 87*1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 94, 2, 85, 94 ]
84
[ "94/94=1", "85-2=83", "1+83=84" ]
Current State: 84:[94, 2, 85, 94], Operations: [] Exploring Operation: 94/94=1, Resulting Numbers: [2, 85, 1] Generated Node #2: [2, 85, 1] from Operation: 94/94=1 Current State: 84:[2, 85, 1], Operations: ['94/94=1'] Exploring Operation: 85-2=83, Resulting Numbers: [1, 83] Generated Node #3: [1, 83] from Operation: 85-2=83 Current State: 84:[1, 83], Operations: ['94/94=1', '85-2=83'] Exploring Operation: 1+83=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 4, 62, 10, 39 ]
61
[ "4*10=40", "62+39=101", "101-40=61" ]
Current State: 61:[4, 62, 10, 39], Operations: [] Exploring Operation: 4*10=40, Resulting Numbers: [62, 39, 40] Generated Node #2: [62, 39, 40] from Operation: 4*10=40 Current State: 61:[62, 39, 40], Operations: ['4*10=40'] Exploring Operation: 62+39=101, Resulting Numbers: [40, 101] Generated Node #3: [40, 101] from Operation: 62+39=101 Current State: 61:[40, 101], Operations: ['4*10=40', '62+39=101'] Exploring Operation: 101-40=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 1, 79, 10, 91 ]
17
[ "1*79=79", "91+79=170", "170/10=17" ]
Current State: 17:[1, 79, 10, 91], Operations: [] Exploring Operation: 1*79=79, Resulting Numbers: [10, 91, 79] Generated Node #2: [10, 91, 79] from Operation: 1*79=79 Current State: 17:[10, 91, 79], Operations: ['1*79=79'] Exploring Operation: 91+79=170, Resulting Numbers: [10, 170] Generated Node #3: [10, 170] from Operation: 91+79=170 Current State: 17:[10, 170], Operations: ['1*79=79', '91+79=170'] Exploring Operation: 170/10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 70, 13, 24, 72 ]
80
[ "70+13=83", "72/24=3", "83-3=80" ]
Current State: 80:[70, 13, 24, 72], Operations: [] Exploring Operation: 70+13=83, Resulting Numbers: [24, 72, 83] Generated Node #2: [24, 72, 83] from Operation: 70+13=83 Current State: 80:[24, 72, 83], Operations: ['70+13=83'] Exploring Operation: 72/24=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 72/24=3 Current State: 80:[83, 3], Operations: ['70+13=83', '72/24=3'] Exploring Operation: 83-3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 80, 97, 39, 89 ]
73
[ "80*89=7120", "7120-39=7081", "7081/97=73" ]
Current State: 73:[80, 97, 39, 89], Operations: [] Exploring Operation: 80*89=7120, Resulting Numbers: [97, 39, 7120] Generated Node #2: [97, 39, 7120] from Operation: 80*89=7120 Current State: 73:[97, 39, 7120], Operations: ['80*89=7120'] Exploring Operation: 7120-39=7081, Resulting Numbers: [97, 7081] Generated Node #3: [97, 7081] from Operation: 7120-39=7081 Current State: 73:[97, 7081], Operations: ['80*89=7120', '7120-39=7081'] Exploring Operation: 7081/97=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 23, 21, 33, 31 ]
66
[ "23-21=2", "33+31=64", "2+64=66" ]
Current State: 66:[23, 21, 33, 31], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [33, 31, 2] Generated Node #2: [33, 31, 2] from Operation: 23-21=2 Current State: 66:[33, 31, 2], Operations: ['23-21=2'] Exploring Operation: 33+31=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 33+31=64 Current State: 66:[2, 64], Operations: ['23-21=2', '33+31=64'] Exploring Operation: 2+64=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 76, 32, 41, 37 ]
40
[ "76-32=44", "41-37=4", "44-4=40" ]
Current State: 40:[76, 32, 41, 37], Operations: [] Exploring Operation: 76-32=44, Resulting Numbers: [41, 37, 44] Generated Node #2: [41, 37, 44] from Operation: 76-32=44 Current State: 40:[41, 37, 44], Operations: ['76-32=44'] Exploring Operation: 41-37=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 41-37=4 Current State: 40:[44, 4], Operations: ['76-32=44', '41-37=4'] Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 19, 26, 48, 6 ]
96
[ "19-6=13", "26*48=1248", "1248/13=96" ]
Current State: 96:[19, 26, 48, 6], Operations: [] Exploring Operation: 19-6=13, Resulting Numbers: [26, 48, 13] Generated Node #2: [26, 48, 13] from Operation: 19-6=13 Current State: 96:[26, 48, 13], Operations: ['19-6=13'] Exploring Operation: 26*48=1248, Resulting Numbers: [13, 1248] Generated Node #3: [13, 1248] from Operation: 26*48=1248 Current State: 96:[13, 1248], Operations: ['19-6=13', '26*48=1248'] Exploring Operation: 1248/13=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 70, 50, 18, 21 ]
40
[ "70+50=120", "21-18=3", "120/3=40" ]
Current State: 40:[70, 50, 18, 21], Operations: [] Exploring Operation: 70+50=120, Resulting Numbers: [18, 21, 120] Generated Node #2: [18, 21, 120] from Operation: 70+50=120 Current State: 40:[18, 21, 120], Operations: ['70+50=120'] Exploring Operation: 21-18=3, Resulting Numbers: [120, 3] Generated Node #3: [120, 3] from Operation: 21-18=3 Current State: 40:[120, 3], Operations: ['70+50=120', '21-18=3'] Exploring Operation: 120/3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 13, 2, 36, 46 ]
18
[ "46-36=10", "10/2=5", "13+5=18" ]
Current State: 18:[13, 2, 36, 46], Operations: [] Exploring Operation: 46-36=10, Resulting Numbers: [13, 2, 10] Generated Node #2: [13, 2, 10] from Operation: 46-36=10 Current State: 18:[13, 2, 10], Operations: ['46-36=10'] Exploring Operation: 10/2=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 10/2=5 Current State: 18:[13, 5], Operations: ['46-36=10', '10/2=5'] Exploring Operation: 13+5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 53, 48, 11, 95 ]
66
[ "53+48=101", "101-95=6", "11*6=66" ]
Current State: 66:[53, 48, 11, 95], Operations: [] Exploring Operation: 53+48=101, Resulting Numbers: [11, 95, 101] Generated Node #2: [11, 95, 101] from Operation: 53+48=101 Current State: 66:[11, 95, 101], Operations: ['53+48=101'] Exploring Operation: 101-95=6, Resulting Numbers: [11, 6] Generated Node #3: [11, 6] from Operation: 101-95=6 Current State: 66:[11, 6], Operations: ['53+48=101', '101-95=6'] Exploring Operation: 11*6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 92, 98, 13, 27 ]
93
[ "92-27=65", "65/13=5", "98-5=93" ]
Current State: 93:[92, 98, 13, 27], Operations: [] Exploring Operation: 92-27=65, Resulting Numbers: [98, 13, 65] Generated Node #2: [98, 13, 65] from Operation: 92-27=65 Current State: 93:[98, 13, 65], Operations: ['92-27=65'] Exploring Operation: 65/13=5, Resulting Numbers: [98, 5] Generated Node #3: [98, 5] from Operation: 65/13=5 Current State: 93:[98, 5], Operations: ['92-27=65', '65/13=5'] Exploring Operation: 98-5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 36, 44, 48, 17 ]
88
[ "44-36=8", "17*8=136", "136-48=88" ]
Current State: 88:[36, 44, 48, 17], Operations: [] Exploring Operation: 44-36=8, Resulting Numbers: [48, 17, 8] Generated Node #2: [48, 17, 8] from Operation: 44-36=8 Current State: 88:[48, 17, 8], Operations: ['44-36=8'] Exploring Operation: 17*8=136, Resulting Numbers: [48, 136] Generated Node #3: [48, 136] from Operation: 17*8=136 Current State: 88:[48, 136], Operations: ['44-36=8', '17*8=136'] Exploring Operation: 136-48=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4