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
[ 63, 21, 25, 84 ]
71
[ "63*25=1575", "1575-84=1491", "1491/21=71" ]
Current State: 71:[63, 21, 25, 84], Operations: [] Exploring Operation: 63*25=1575, Resulting Numbers: [21, 84, 1575] Generated Node #2: [21, 84, 1575] from Operation: 63*25=1575 Current State: 71:[21, 84, 1575], Operations: ['63*25=1575'] Exploring Operation: 1575-84=1491, Resulting Numbers: [21, 1491] Generated Node #3: [21, 1491] from Operation: 1575-84=1491 Current State: 71:[21, 1491], Operations: ['63*25=1575', '1575-84=1491'] Exploring Operation: 1491/21=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 15, 8, 9, 7 ]
41
[ "15-9=6", "8*6=48", "48-7=41" ]
Current State: 41:[15, 8, 9, 7], Operations: [] Exploring Operation: 15-9=6, Resulting Numbers: [8, 7, 6] Generated Node #2: [8, 7, 6] from Operation: 15-9=6 Current State: 41:[8, 7, 6], Operations: ['15-9=6'] Exploring Operation: 8*6=48, Resulting Numbers: [7, 48] Generated Node #3: [7, 48] from Operation: 8*6=48 Current State: 41:[7, 48], Operations: ['15-9=6', '8*6=48'] Exploring Operation: 48-7=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 80, 10, 49, 87 ]
66
[ "80-10=70", "49+87=136", "136-70=66" ]
Current State: 66:[80, 10, 49, 87], Operations: [] Exploring Operation: 80-10=70, Resulting Numbers: [49, 87, 70] Generated Node #2: [49, 87, 70] from Operation: 80-10=70 Current State: 66:[49, 87, 70], Operations: ['80-10=70'] Exploring Operation: 49+87=136, Resulting Numbers: [70, 136] Generated Node #3: [70, 136] from Operation: 49+87=136 Current State: 66:[70, 136], Operations: ['80-10=70', '49+87=136'] Exploring Operation: 136-70=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 70, 68, 40, 67 ]
13
[ "70-68=2", "40*2=80", "80-67=13" ]
Current State: 13:[70, 68, 40, 67], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [40, 67, 2] Generated Node #2: [40, 67, 2] from Operation: 70-68=2 Current State: 13:[40, 67, 2], Operations: ['70-68=2'] Exploring Operation: 40*2=80, Resulting Numbers: [67, 80] Generated Node #3: [67, 80] from Operation: 40*2=80 Current State: 13:[67, 80], Operations: ['70-68=2', '40*2=80'] Exploring Operation: 80-67=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 4, 38, 11, 57 ]
21
[ "38-11=27", "57+27=84", "84/4=21" ]
Current State: 21:[4, 38, 11, 57], Operations: [] Exploring Operation: 38-11=27, Resulting Numbers: [4, 57, 27] Generated Node #2: [4, 57, 27] from Operation: 38-11=27 Current State: 21:[4, 57, 27], Operations: ['38-11=27'] Exploring Operation: 57+27=84, Resulting Numbers: [4, 84] Generated Node #3: [4, 84] from Operation: 57+27=84 Current State: 21:[4, 84], Operations: ['38-11=27', '57+27=84'] Exploring Operation: 84/4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 13, 29, 2, 5 ]
55
[ "29+5=34", "2*34=68", "68-13=55" ]
Current State: 55:[13, 29, 2, 5], Operations: [] Exploring Operation: 29+5=34, Resulting Numbers: [13, 2, 34] Generated Node #2: [13, 2, 34] from Operation: 29+5=34 Current State: 55:[13, 2, 34], Operations: ['29+5=34'] Exploring Operation: 2*34=68, Resulting Numbers: [13, 68] Generated Node #3: [13, 68] from Operation: 2*34=68 Current State: 55:[13, 68], Operations: ['29+5=34', '2*34=68'] Exploring Operation: 68-13=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 28, 81, 97, 81 ]
28
[ "81-81=0", "97*0=0", "28+0=28" ]
Current State: 28:[28, 81, 97, 81], Operations: [] Exploring Operation: 81-81=0, Resulting Numbers: [28, 97, 0] Generated Node #2: [28, 97, 0] from Operation: 81-81=0 Current State: 28:[28, 97, 0], Operations: ['81-81=0'] Exploring Operation: 97*0=0, Resulting Numbers: [28, 0] Generated Node #3: [28, 0] from Operation: 97*0=0 Current State: 28:[28, 0], Operations: ['81-81=0', '97*0=0'] Exploring Operation: 28+0=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 13, 81, 28, 5 ]
44
[ "13*5=65", "81+28=109", "109-65=44" ]
Current State: 44:[13, 81, 28, 5], Operations: [] Exploring Operation: 13*5=65, Resulting Numbers: [81, 28, 65] Generated Node #2: [81, 28, 65] from Operation: 13*5=65 Current State: 44:[81, 28, 65], Operations: ['13*5=65'] Exploring Operation: 81+28=109, Resulting Numbers: [65, 109] Generated Node #3: [65, 109] from Operation: 81+28=109 Current State: 44:[65, 109], Operations: ['13*5=65', '81+28=109'] Exploring Operation: 109-65=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 2, 17, 30, 52 ]
27
[ "52-30=22", "2*22=44", "44-17=27" ]
Current State: 27:[2, 17, 30, 52], Operations: [] Exploring Operation: 52-30=22, Resulting Numbers: [2, 17, 22] Generated Node #2: [2, 17, 22] from Operation: 52-30=22 Current State: 27:[2, 17, 22], Operations: ['52-30=22'] Exploring Operation: 2*22=44, Resulting Numbers: [17, 44] Generated Node #3: [17, 44] from Operation: 2*22=44 Current State: 27:[17, 44], Operations: ['52-30=22', '2*22=44'] Exploring Operation: 44-17=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 61, 57, 58, 46 ]
33
[ "61-58=3", "57-46=11", "3*11=33" ]
Current State: 33:[61, 57, 58, 46], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [57, 46, 3] Generated Node #2: [57, 46, 3] from Operation: 61-58=3 Current State: 33:[57, 46, 3], Operations: ['61-58=3'] Exploring Operation: 57-46=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 57-46=11 Current State: 33:[3, 11], Operations: ['61-58=3', '57-46=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 58, 77, 84, 61 ]
17
[ "58+61=119", "84-77=7", "119/7=17" ]
Current State: 17:[58, 77, 84, 61], Operations: [] Exploring Operation: 58+61=119, Resulting Numbers: [77, 84, 119] Generated Node #2: [77, 84, 119] from Operation: 58+61=119 Current State: 17:[77, 84, 119], Operations: ['58+61=119'] Exploring Operation: 84-77=7, Resulting Numbers: [119, 7] Generated Node #3: [119, 7] from Operation: 84-77=7 Current State: 17:[119, 7], Operations: ['58+61=119', '84-77=7'] Exploring Operation: 119/7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 20, 39, 4, 60 ]
64
[ "60-39=21", "4*21=84", "84-20=64" ]
Current State: 64:[20, 39, 4, 60], Operations: [] Exploring Operation: 60-39=21, Resulting Numbers: [20, 4, 21] Generated Node #2: [20, 4, 21] from Operation: 60-39=21 Current State: 64:[20, 4, 21], Operations: ['60-39=21'] Exploring Operation: 4*21=84, Resulting Numbers: [20, 84] Generated Node #3: [20, 84] from Operation: 4*21=84 Current State: 64:[20, 84], Operations: ['60-39=21', '4*21=84'] Exploring Operation: 84-20=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 45, 43, 66, 15 ]
36
[ "45-43=2", "15*2=30", "66-30=36" ]
Current State: 36:[45, 43, 66, 15], Operations: [] Exploring Operation: 45-43=2, Resulting Numbers: [66, 15, 2] Generated Node #2: [66, 15, 2] from Operation: 45-43=2 Current State: 36:[66, 15, 2], Operations: ['45-43=2'] Exploring Operation: 15*2=30, Resulting Numbers: [66, 30] Generated Node #3: [66, 30] from Operation: 15*2=30 Current State: 36:[66, 30], Operations: ['45-43=2', '15*2=30'] Exploring Operation: 66-30=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 13, 70, 42, 17 ]
98
[ "13+17=30", "70*42=2940", "2940/30=98" ]
Current State: 98:[13, 70, 42, 17], Operations: [] Exploring Operation: 13+17=30, Resulting Numbers: [70, 42, 30] Generated Node #2: [70, 42, 30] from Operation: 13+17=30 Current State: 98:[70, 42, 30], Operations: ['13+17=30'] Exploring Operation: 70*42=2940, Resulting Numbers: [30, 2940] Generated Node #3: [30, 2940] from Operation: 70*42=2940 Current State: 98:[30, 2940], Operations: ['13+17=30', '70*42=2940'] Exploring Operation: 2940/30=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 92, 65, 97, 46 ]
81
[ "92/46=2", "65+97=162", "162/2=81" ]
Current State: 81:[92, 65, 97, 46], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [65, 97, 2] Generated Node #2: [65, 97, 2] from Operation: 92/46=2 Current State: 81:[65, 97, 2], Operations: ['92/46=2'] Exploring Operation: 65+97=162, Resulting Numbers: [2, 162] Generated Node #3: [2, 162] from Operation: 65+97=162 Current State: 81:[2, 162], Operations: ['92/46=2', '65+97=162'] Exploring Operation: 162/2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 47, 96, 85, 78 ]
42
[ "96-47=49", "85-78=7", "49-7=42" ]
Current State: 42:[47, 96, 85, 78], Operations: [] Exploring Operation: 96-47=49, Resulting Numbers: [85, 78, 49] Generated Node #2: [85, 78, 49] from Operation: 96-47=49 Current State: 42:[85, 78, 49], Operations: ['96-47=49'] Exploring Operation: 85-78=7, Resulting Numbers: [49, 7] Generated Node #3: [49, 7] from Operation: 85-78=7 Current State: 42:[49, 7], Operations: ['96-47=49', '85-78=7'] Exploring Operation: 49-7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 56, 3, 38, 25 ]
23
[ "56+38=94", "94-25=69", "69/3=23" ]
Current State: 23:[56, 3, 38, 25], Operations: [] Exploring Operation: 56+38=94, Resulting Numbers: [3, 25, 94] Generated Node #2: [3, 25, 94] from Operation: 56+38=94 Current State: 23:[3, 25, 94], Operations: ['56+38=94'] Exploring Operation: 94-25=69, Resulting Numbers: [3, 69] Generated Node #3: [3, 69] from Operation: 94-25=69 Current State: 23:[3, 69], Operations: ['56+38=94', '94-25=69'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 83, 63, 68, 43 ]
91
[ "83-63=20", "68+43=111", "111-20=91" ]
Current State: 91:[83, 63, 68, 43], Operations: [] Exploring Operation: 83-63=20, Resulting Numbers: [68, 43, 20] Generated Node #2: [68, 43, 20] from Operation: 83-63=20 Current State: 91:[68, 43, 20], Operations: ['83-63=20'] Exploring Operation: 68+43=111, Resulting Numbers: [20, 111] Generated Node #3: [20, 111] from Operation: 68+43=111 Current State: 91:[20, 111], Operations: ['83-63=20', '68+43=111'] Exploring Operation: 111-20=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 11, 4, 64, 76 ]
34
[ "64-11=53", "76/4=19", "53-19=34" ]
Current State: 34:[11, 4, 64, 76], Operations: [] Exploring Operation: 64-11=53, Resulting Numbers: [4, 76, 53] Generated Node #2: [4, 76, 53] from Operation: 64-11=53 Current State: 34:[4, 76, 53], Operations: ['64-11=53'] Exploring Operation: 76/4=19, Resulting Numbers: [53, 19] Generated Node #3: [53, 19] from Operation: 76/4=19 Current State: 34:[53, 19], Operations: ['64-11=53', '76/4=19'] Exploring Operation: 53-19=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 97, 62, 14, 3 ]
81
[ "62-14=48", "48/3=16", "97-16=81" ]
Current State: 81:[97, 62, 14, 3], Operations: [] Exploring Operation: 62-14=48, Resulting Numbers: [97, 3, 48] Generated Node #2: [97, 3, 48] from Operation: 62-14=48 Current State: 81:[97, 3, 48], Operations: ['62-14=48'] Exploring Operation: 48/3=16, Resulting Numbers: [97, 16] Generated Node #3: [97, 16] from Operation: 48/3=16 Current State: 81:[97, 16], Operations: ['62-14=48', '48/3=16'] Exploring Operation: 97-16=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 39, 73, 28, 42 ]
51
[ "73-39=34", "42*34=1428", "1428/28=51" ]
Current State: 51:[39, 73, 28, 42], Operations: [] Exploring Operation: 73-39=34, Resulting Numbers: [28, 42, 34] Generated Node #2: [28, 42, 34] from Operation: 73-39=34 Current State: 51:[28, 42, 34], Operations: ['73-39=34'] Exploring Operation: 42*34=1428, Resulting Numbers: [28, 1428] Generated Node #3: [28, 1428] from Operation: 42*34=1428 Current State: 51:[28, 1428], Operations: ['73-39=34', '42*34=1428'] Exploring Operation: 1428/28=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 83, 38, 46, 14 ]
15
[ "83-38=45", "46+14=60", "60-45=15" ]
Current State: 15:[83, 38, 46, 14], Operations: [] Exploring Operation: 83-38=45, Resulting Numbers: [46, 14, 45] Generated Node #2: [46, 14, 45] from Operation: 83-38=45 Current State: 15:[46, 14, 45], Operations: ['83-38=45'] Exploring Operation: 46+14=60, Resulting Numbers: [45, 60] Generated Node #3: [45, 60] from Operation: 46+14=60 Current State: 15:[45, 60], Operations: ['83-38=45', '46+14=60'] Exploring Operation: 60-45=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 42, 21, 79, 76 ]
49
[ "79-76=3", "21/3=7", "42+7=49" ]
Current State: 49:[42, 21, 79, 76], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [42, 21, 3] Generated Node #2: [42, 21, 3] from Operation: 79-76=3 Current State: 49:[42, 21, 3], Operations: ['79-76=3'] Exploring Operation: 21/3=7, Resulting Numbers: [42, 7] Generated Node #3: [42, 7] from Operation: 21/3=7 Current State: 49:[42, 7], Operations: ['79-76=3', '21/3=7'] Exploring Operation: 42+7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 43, 15, 30, 17 ]
26
[ "43-30=13", "17-15=2", "13*2=26" ]
Current State: 26:[43, 15, 30, 17], Operations: [] Exploring Operation: 43-30=13, Resulting Numbers: [15, 17, 13] Generated Node #2: [15, 17, 13] from Operation: 43-30=13 Current State: 26:[15, 17, 13], Operations: ['43-30=13'] Exploring Operation: 17-15=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 17-15=2 Current State: 26:[13, 2], Operations: ['43-30=13', '17-15=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 35, 14, 29, 54 ]
24
[ "35+14=49", "54-29=25", "49-25=24" ]
Current State: 24:[35, 14, 29, 54], Operations: [] Exploring Operation: 35+14=49, Resulting Numbers: [29, 54, 49] Generated Node #2: [29, 54, 49] from Operation: 35+14=49 Current State: 24:[29, 54, 49], Operations: ['35+14=49'] Exploring Operation: 54-29=25, Resulting Numbers: [49, 25] Generated Node #3: [49, 25] from Operation: 54-29=25 Current State: 24:[49, 25], Operations: ['35+14=49', '54-29=25'] Exploring Operation: 49-25=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 49, 41, 8, 3 ]
16
[ "49-41=8", "8*3=24", "24-8=16" ]
Current State: 16:[49, 41, 8, 3], Operations: [] Exploring Operation: 49-41=8, Resulting Numbers: [8, 3, 8] Generated Node #2: [8, 3, 8] from Operation: 49-41=8 Current State: 16:[8, 3, 8], Operations: ['49-41=8'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,16 equal: Goal Reached Exploring Operation: 24-8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 11, 91, 67, 7 ]
99
[ "67-11=56", "56/7=8", "91+8=99" ]
Current State: 99:[11, 91, 67, 7], Operations: [] Exploring Operation: 67-11=56, Resulting Numbers: [91, 7, 56] Generated Node #2: [91, 7, 56] from Operation: 67-11=56 Current State: 99:[91, 7, 56], Operations: ['67-11=56'] Exploring Operation: 56/7=8, Resulting Numbers: [91, 8] Generated Node #3: [91, 8] from Operation: 56/7=8 Current State: 99:[91, 8], Operations: ['67-11=56', '56/7=8'] Exploring Operation: 91+8=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 1, 13, 63, 22 ]
72
[ "1*13=13", "63+22=85", "85-13=72" ]
Current State: 72:[1, 13, 63, 22], Operations: [] Exploring Operation: 1*13=13, Resulting Numbers: [63, 22, 13] Generated Node #2: [63, 22, 13] from Operation: 1*13=13 Current State: 72:[63, 22, 13], Operations: ['1*13=13'] Exploring Operation: 63+22=85, Resulting Numbers: [13, 85] Generated Node #3: [13, 85] from Operation: 63+22=85 Current State: 72:[13, 85], Operations: ['1*13=13', '63+22=85'] Exploring Operation: 85-13=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 44, 58, 52, 42 ]
46
[ "44-42=2", "52*2=104", "104-58=46" ]
Current State: 46:[44, 58, 52, 42], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [58, 52, 2] Generated Node #2: [58, 52, 2] from Operation: 44-42=2 Current State: 46:[58, 52, 2], Operations: ['44-42=2'] Exploring Operation: 52*2=104, Resulting Numbers: [58, 104] Generated Node #3: [58, 104] from Operation: 52*2=104 Current State: 46:[58, 104], Operations: ['44-42=2', '52*2=104'] Exploring Operation: 104-58=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 59, 21, 5, 37 ]
89
[ "59-37=22", "5*22=110", "110-21=89" ]
Current State: 89:[59, 21, 5, 37], Operations: [] Exploring Operation: 59-37=22, Resulting Numbers: [21, 5, 22] Generated Node #2: [21, 5, 22] from Operation: 59-37=22 Current State: 89:[21, 5, 22], Operations: ['59-37=22'] Exploring Operation: 5*22=110, Resulting Numbers: [21, 110] Generated Node #3: [21, 110] from Operation: 5*22=110 Current State: 89:[21, 110], Operations: ['59-37=22', '5*22=110'] Exploring Operation: 110-21=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 71, 22, 96, 98 ]
47
[ "71-22=49", "98-96=2", "49-2=47" ]
Current State: 47:[71, 22, 96, 98], Operations: [] Exploring Operation: 71-22=49, Resulting Numbers: [96, 98, 49] Generated Node #2: [96, 98, 49] from Operation: 71-22=49 Current State: 47:[96, 98, 49], Operations: ['71-22=49'] Exploring Operation: 98-96=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 98-96=2 Current State: 47:[49, 2], Operations: ['71-22=49', '98-96=2'] Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 96, 99, 2, 86 ]
35
[ "96/2=48", "99-86=13", "48-13=35" ]
Current State: 35:[96, 99, 2, 86], Operations: [] Exploring Operation: 96/2=48, Resulting Numbers: [99, 86, 48] Generated Node #2: [99, 86, 48] from Operation: 96/2=48 Current State: 35:[99, 86, 48], Operations: ['96/2=48'] Exploring Operation: 99-86=13, Resulting Numbers: [48, 13] Generated Node #3: [48, 13] from Operation: 99-86=13 Current State: 35:[48, 13], Operations: ['96/2=48', '99-86=13'] Exploring Operation: 48-13=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 35, 15, 79, 31 ]
98
[ "35+15=50", "79-31=48", "50+48=98" ]
Current State: 98:[35, 15, 79, 31], Operations: [] Exploring Operation: 35+15=50, Resulting Numbers: [79, 31, 50] Generated Node #2: [79, 31, 50] from Operation: 35+15=50 Current State: 98:[79, 31, 50], Operations: ['35+15=50'] Exploring Operation: 79-31=48, Resulting Numbers: [50, 48] Generated Node #3: [50, 48] from Operation: 79-31=48 Current State: 98:[50, 48], Operations: ['35+15=50', '79-31=48'] Exploring Operation: 50+48=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 56, 78, 95, 88 ]
15
[ "78-56=22", "95-88=7", "22-7=15" ]
Current State: 15:[56, 78, 95, 88], Operations: [] Exploring Operation: 78-56=22, Resulting Numbers: [95, 88, 22] Generated Node #2: [95, 88, 22] from Operation: 78-56=22 Current State: 15:[95, 88, 22], Operations: ['78-56=22'] Exploring Operation: 95-88=7, Resulting Numbers: [22, 7] Generated Node #3: [22, 7] from Operation: 95-88=7 Current State: 15:[22, 7], Operations: ['78-56=22', '95-88=7'] Exploring Operation: 22-7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 56, 9, 83, 98 ]
95
[ "83-56=27", "27/9=3", "98-3=95" ]
Current State: 95:[56, 9, 83, 98], Operations: [] Exploring Operation: 83-56=27, Resulting Numbers: [9, 98, 27] Generated Node #2: [9, 98, 27] from Operation: 83-56=27 Current State: 95:[9, 98, 27], Operations: ['83-56=27'] Exploring Operation: 27/9=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 27/9=3 Current State: 95:[98, 3], Operations: ['83-56=27', '27/9=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 19, 51, 52, 39 ]
87
[ "51*52=2652", "2652/39=68", "19+68=87" ]
Current State: 87:[19, 51, 52, 39], Operations: [] Exploring Operation: 51*52=2652, Resulting Numbers: [19, 39, 2652] Generated Node #2: [19, 39, 2652] from Operation: 51*52=2652 Current State: 87:[19, 39, 2652], Operations: ['51*52=2652'] Exploring Operation: 2652/39=68, Resulting Numbers: [19, 68] Generated Node #3: [19, 68] from Operation: 2652/39=68 Current State: 87:[19, 68], Operations: ['51*52=2652', '2652/39=68'] Exploring Operation: 19+68=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 38, 89, 97, 88 ]
60
[ "89-38=51", "97-88=9", "51+9=60" ]
Current State: 60:[38, 89, 97, 88], Operations: [] Exploring Operation: 89-38=51, Resulting Numbers: [97, 88, 51] Generated Node #2: [97, 88, 51] from Operation: 89-38=51 Current State: 60:[97, 88, 51], Operations: ['89-38=51'] Exploring Operation: 97-88=9, Resulting Numbers: [51, 9] Generated Node #3: [51, 9] from Operation: 97-88=9 Current State: 60:[51, 9], Operations: ['89-38=51', '97-88=9'] Exploring Operation: 51+9=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 59, 64, 76, 11 ]
92
[ "64-59=5", "76+11=87", "5+87=92" ]
Current State: 92:[59, 64, 76, 11], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [76, 11, 5] Generated Node #2: [76, 11, 5] from Operation: 64-59=5 Current State: 92:[76, 11, 5], Operations: ['64-59=5'] Exploring Operation: 76+11=87, Resulting Numbers: [5, 87] Generated Node #3: [5, 87] from Operation: 76+11=87 Current State: 92:[5, 87], Operations: ['64-59=5', '76+11=87'] Exploring Operation: 5+87=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 26, 52, 64, 5 ]
95
[ "52-26=26", "64+5=69", "26+69=95" ]
Current State: 95:[26, 52, 64, 5], Operations: [] Exploring Operation: 52-26=26, Resulting Numbers: [64, 5, 26] Generated Node #2: [64, 5, 26] from Operation: 52-26=26 Current State: 95:[64, 5, 26], Operations: ['52-26=26'] Exploring Operation: 64+5=69, Resulting Numbers: [26, 69] Generated Node #3: [26, 69] from Operation: 64+5=69 Current State: 95:[26, 69], Operations: ['52-26=26', '64+5=69'] Exploring Operation: 26+69=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 73, 67, 8, 2 ]
10
[ "73-67=6", "8*2=16", "16-6=10" ]
Current State: 10:[73, 67, 8, 2], Operations: [] Exploring Operation: 73-67=6, Resulting Numbers: [8, 2, 6] Generated Node #2: [8, 2, 6] from Operation: 73-67=6 Current State: 10:[8, 2, 6], Operations: ['73-67=6'] Exploring Operation: 8*2=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 8*2=16 Current State: 10:[6, 16], Operations: ['73-67=6', '8*2=16'] Exploring Operation: 16-6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 9, 54, 56, 31 ]
19
[ "54/9=6", "56-31=25", "25-6=19" ]
Current State: 19:[9, 54, 56, 31], Operations: [] Exploring Operation: 54/9=6, Resulting Numbers: [56, 31, 6] Generated Node #2: [56, 31, 6] from Operation: 54/9=6 Current State: 19:[56, 31, 6], Operations: ['54/9=6'] Exploring Operation: 56-31=25, Resulting Numbers: [6, 25] Generated Node #3: [6, 25] from Operation: 56-31=25 Current State: 19:[6, 25], Operations: ['54/9=6', '56-31=25'] Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 86, 12, 10, 68 ]
12
[ "86-10=76", "68+76=144", "144/12=12" ]
Current State: 12:[86, 12, 10, 68], Operations: [] Exploring Operation: 86-10=76, Resulting Numbers: [12, 68, 76] Generated Node #2: [12, 68, 76] from Operation: 86-10=76 Current State: 12:[12, 68, 76], Operations: ['86-10=76'] Exploring Operation: 68+76=144, Resulting Numbers: [12, 144] Generated Node #3: [12, 144] from Operation: 68+76=144 Current State: 12:[12, 144], Operations: ['86-10=76', '68+76=144'] Exploring Operation: 144/12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 33, 25, 15, 18 ]
41
[ "33-25=8", "15+18=33", "8+33=41" ]
Current State: 41:[33, 25, 15, 18], Operations: [] Exploring Operation: 33-25=8, Resulting Numbers: [15, 18, 8] Generated Node #2: [15, 18, 8] from Operation: 33-25=8 Current State: 41:[15, 18, 8], Operations: ['33-25=8'] Exploring Operation: 15+18=33, Resulting Numbers: [8, 33] Generated Node #3: [8, 33] from Operation: 15+18=33 Current State: 41:[8, 33], Operations: ['33-25=8', '15+18=33'] Exploring Operation: 8+33=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 31, 72, 7, 41 ]
38
[ "31-7=24", "72/24=3", "41-3=38" ]
Current State: 38:[31, 72, 7, 41], Operations: [] Exploring Operation: 31-7=24, Resulting Numbers: [72, 41, 24] Generated Node #2: [72, 41, 24] from Operation: 31-7=24 Current State: 38:[72, 41, 24], Operations: ['31-7=24'] Exploring Operation: 72/24=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 72/24=3 Current State: 38:[41, 3], Operations: ['31-7=24', '72/24=3'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 20, 52, 69, 65 ]
100
[ "52*65=3380", "3380/20=169", "169-69=100" ]
Current State: 100:[20, 52, 69, 65], Operations: [] Exploring Operation: 52*65=3380, Resulting Numbers: [20, 69, 3380] Generated Node #2: [20, 69, 3380] from Operation: 52*65=3380 Current State: 100:[20, 69, 3380], Operations: ['52*65=3380'] Exploring Operation: 3380/20=169, Resulting Numbers: [69, 169] Generated Node #3: [69, 169] from Operation: 3380/20=169 Current State: 100:[69, 169], Operations: ['52*65=3380', '3380/20=169'] Exploring Operation: 169-69=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 42, 78, 96, 33 ]
32
[ "78-42=36", "36-33=3", "96/3=32" ]
Current State: 32:[42, 78, 96, 33], Operations: [] Exploring Operation: 78-42=36, Resulting Numbers: [96, 33, 36] Generated Node #2: [96, 33, 36] from Operation: 78-42=36 Current State: 32:[96, 33, 36], Operations: ['78-42=36'] Exploring Operation: 36-33=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 36-33=3 Current State: 32:[96, 3], Operations: ['78-42=36', '36-33=3'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 49, 71, 28, 8 ]
42
[ "71-49=22", "28-8=20", "22+20=42" ]
Current State: 42:[49, 71, 28, 8], Operations: [] Exploring Operation: 71-49=22, Resulting Numbers: [28, 8, 22] Generated Node #2: [28, 8, 22] from Operation: 71-49=22 Current State: 42:[28, 8, 22], Operations: ['71-49=22'] Exploring Operation: 28-8=20, Resulting Numbers: [22, 20] Generated Node #3: [22, 20] from Operation: 28-8=20 Current State: 42:[22, 20], Operations: ['71-49=22', '28-8=20'] Exploring Operation: 22+20=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 55, 51, 78, 41 ]
69
[ "55+51=106", "78-41=37", "106-37=69" ]
Current State: 69:[55, 51, 78, 41], Operations: [] Exploring Operation: 55+51=106, Resulting Numbers: [78, 41, 106] Generated Node #2: [78, 41, 106] from Operation: 55+51=106 Current State: 69:[78, 41, 106], Operations: ['55+51=106'] Exploring Operation: 78-41=37, Resulting Numbers: [106, 37] Generated Node #3: [106, 37] from Operation: 78-41=37 Current State: 69:[106, 37], Operations: ['55+51=106', '78-41=37'] Exploring Operation: 106-37=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 55, 4, 89, 20 ]
78
[ "55*4=220", "220/20=11", "89-11=78" ]
Current State: 78:[55, 4, 89, 20], Operations: [] Exploring Operation: 55*4=220, Resulting Numbers: [89, 20, 220] Generated Node #2: [89, 20, 220] from Operation: 55*4=220 Current State: 78:[89, 20, 220], Operations: ['55*4=220'] Exploring Operation: 220/20=11, Resulting Numbers: [89, 11] Generated Node #3: [89, 11] from Operation: 220/20=11 Current State: 78:[89, 11], Operations: ['55*4=220', '220/20=11'] Exploring Operation: 89-11=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 58, 9, 30, 41 ]
38
[ "58-9=49", "41-30=11", "49-11=38" ]
Current State: 38:[58, 9, 30, 41], Operations: [] Exploring Operation: 58-9=49, Resulting Numbers: [30, 41, 49] Generated Node #2: [30, 41, 49] from Operation: 58-9=49 Current State: 38:[30, 41, 49], Operations: ['58-9=49'] Exploring Operation: 41-30=11, Resulting Numbers: [49, 11] Generated Node #3: [49, 11] from Operation: 41-30=11 Current State: 38:[49, 11], Operations: ['58-9=49', '41-30=11'] Exploring Operation: 49-11=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 62, 36, 5, 70 ]
76
[ "70-62=8", "5*8=40", "36+40=76" ]
Current State: 76:[62, 36, 5, 70], Operations: [] Exploring Operation: 70-62=8, Resulting Numbers: [36, 5, 8] Generated Node #2: [36, 5, 8] from Operation: 70-62=8 Current State: 76:[36, 5, 8], Operations: ['70-62=8'] Exploring Operation: 5*8=40, Resulting Numbers: [36, 40] Generated Node #3: [36, 40] from Operation: 5*8=40 Current State: 76:[36, 40], Operations: ['70-62=8', '5*8=40'] Exploring Operation: 36+40=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 46, 69, 41, 17 ]
87
[ "41+17=58", "69*58=4002", "4002/46=87" ]
Current State: 87:[46, 69, 41, 17], Operations: [] Exploring Operation: 41+17=58, Resulting Numbers: [46, 69, 58] Generated Node #2: [46, 69, 58] from Operation: 41+17=58 Current State: 87:[46, 69, 58], Operations: ['41+17=58'] Exploring Operation: 69*58=4002, Resulting Numbers: [46, 4002] Generated Node #3: [46, 4002] from Operation: 69*58=4002 Current State: 87:[46, 4002], Operations: ['41+17=58', '69*58=4002'] Exploring Operation: 4002/46=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 31, 36, 29, 78 ]
54
[ "36-31=5", "78-29=49", "5+49=54" ]
Current State: 54:[31, 36, 29, 78], Operations: [] Exploring Operation: 36-31=5, Resulting Numbers: [29, 78, 5] Generated Node #2: [29, 78, 5] from Operation: 36-31=5 Current State: 54:[29, 78, 5], Operations: ['36-31=5'] Exploring Operation: 78-29=49, Resulting Numbers: [5, 49] Generated Node #3: [5, 49] from Operation: 78-29=49 Current State: 54:[5, 49], Operations: ['36-31=5', '78-29=49'] Exploring Operation: 5+49=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 23, 23, 62, 64 ]
62
[ "23-23=0", "64*0=0", "62+0=62" ]
Current State: 62:[23, 23, 62, 64], Operations: [] Exploring Operation: 23-23=0, Resulting Numbers: [62, 64, 0] Generated Node #2: [62, 64, 0] from Operation: 23-23=0 Current State: 62:[62, 64, 0], Operations: ['23-23=0'] Exploring Operation: 64*0=0, Resulting Numbers: [62, 0] Generated Node #3: [62, 0] from Operation: 64*0=0 Current State: 62:[62, 0], Operations: ['23-23=0', '64*0=0'] Exploring Operation: 62+0=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 43, 66, 63, 19 ]
100
[ "66-63=3", "19*3=57", "43+57=100" ]
Current State: 100:[43, 66, 63, 19], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [43, 19, 3] Generated Node #2: [43, 19, 3] from Operation: 66-63=3 Current State: 100:[43, 19, 3], Operations: ['66-63=3'] Exploring Operation: 19*3=57, Resulting Numbers: [43, 57] Generated Node #3: [43, 57] from Operation: 19*3=57 Current State: 100:[43, 57], Operations: ['66-63=3', '19*3=57'] Exploring Operation: 43+57=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 3, 17, 75, 55 ]
99
[ "17+55=72", "72/3=24", "75+24=99" ]
Current State: 99:[3, 17, 75, 55], Operations: [] Exploring Operation: 17+55=72, Resulting Numbers: [3, 75, 72] Generated Node #2: [3, 75, 72] from Operation: 17+55=72 Current State: 99:[3, 75, 72], Operations: ['17+55=72'] Exploring Operation: 72/3=24, Resulting Numbers: [75, 24] Generated Node #3: [75, 24] from Operation: 72/3=24 Current State: 99:[75, 24], Operations: ['17+55=72', '72/3=24'] Exploring Operation: 75+24=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 66, 41, 81, 52 ]
54
[ "66-41=25", "81-52=29", "25+29=54" ]
Current State: 54:[66, 41, 81, 52], Operations: [] Exploring Operation: 66-41=25, Resulting Numbers: [81, 52, 25] Generated Node #2: [81, 52, 25] from Operation: 66-41=25 Current State: 54:[81, 52, 25], Operations: ['66-41=25'] Exploring Operation: 81-52=29, Resulting Numbers: [25, 29] Generated Node #3: [25, 29] from Operation: 81-52=29 Current State: 54:[25, 29], Operations: ['66-41=25', '81-52=29'] Exploring Operation: 25+29=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 83, 85, 88, 83 ]
39
[ "85-83=2", "88/2=44", "83-44=39" ]
Current State: 39:[83, 85, 88, 83], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [88, 2] Generated Node #2: [88, 2] from Operation: 85-83=2 Current State: 39:[88, 2], Operations: ['85-83=2'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,39 equal: Goal Reached Exploring Operation: 83-44=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 67, 6, 71, 44 ]
22
[ "67+6=73", "73-71=2", "44/2=22" ]
Current State: 22:[67, 6, 71, 44], Operations: [] Exploring Operation: 67+6=73, Resulting Numbers: [71, 44, 73] Generated Node #2: [71, 44, 73] from Operation: 67+6=73 Current State: 22:[71, 44, 73], Operations: ['67+6=73'] Exploring Operation: 73-71=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 73-71=2 Current State: 22:[44, 2], Operations: ['67+6=73', '73-71=2'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 15, 88, 90, 18 ]
31
[ "15+88=103", "90-18=72", "103-72=31" ]
Current State: 31:[15, 88, 90, 18], Operations: [] Exploring Operation: 15+88=103, Resulting Numbers: [90, 18, 103] Generated Node #2: [90, 18, 103] from Operation: 15+88=103 Current State: 31:[90, 18, 103], Operations: ['15+88=103'] Exploring Operation: 90-18=72, Resulting Numbers: [103, 72] Generated Node #3: [103, 72] from Operation: 90-18=72 Current State: 31:[103, 72], Operations: ['15+88=103', '90-18=72'] Exploring Operation: 103-72=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 4, 9, 8, 71 ]
92
[ "4+9=13", "8+71=79", "13+79=92" ]
Current State: 92:[4, 9, 8, 71], Operations: [] Exploring Operation: 4+9=13, Resulting Numbers: [8, 71, 13] Generated Node #2: [8, 71, 13] from Operation: 4+9=13 Current State: 92:[8, 71, 13], Operations: ['4+9=13'] Exploring Operation: 8+71=79, Resulting Numbers: [13, 79] Generated Node #3: [13, 79] from Operation: 8+71=79 Current State: 92:[13, 79], Operations: ['4+9=13', '8+71=79'] Exploring Operation: 13+79=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 73, 44, 82, 1 ]
54
[ "73-44=29", "82+1=83", "83-29=54" ]
Current State: 54:[73, 44, 82, 1], Operations: [] Exploring Operation: 73-44=29, Resulting Numbers: [82, 1, 29] Generated Node #2: [82, 1, 29] from Operation: 73-44=29 Current State: 54:[82, 1, 29], Operations: ['73-44=29'] Exploring Operation: 82+1=83, Resulting Numbers: [29, 83] Generated Node #3: [29, 83] from Operation: 82+1=83 Current State: 54:[29, 83], Operations: ['73-44=29', '82+1=83'] Exploring Operation: 83-29=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 64, 80, 28, 23 ]
84
[ "64+28=92", "92/23=4", "80+4=84" ]
Current State: 84:[64, 80, 28, 23], Operations: [] Exploring Operation: 64+28=92, Resulting Numbers: [80, 23, 92] Generated Node #2: [80, 23, 92] from Operation: 64+28=92 Current State: 84:[80, 23, 92], Operations: ['64+28=92'] Exploring Operation: 92/23=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 92/23=4 Current State: 84:[80, 4], Operations: ['64+28=92', '92/23=4'] Exploring Operation: 80+4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 58, 3, 24, 51 ]
15
[ "58-51=7", "24/3=8", "7+8=15" ]
Current State: 15:[58, 3, 24, 51], Operations: [] Exploring Operation: 58-51=7, Resulting Numbers: [3, 24, 7] Generated Node #2: [3, 24, 7] from Operation: 58-51=7 Current State: 15:[3, 24, 7], Operations: ['58-51=7'] Exploring Operation: 24/3=8, Resulting Numbers: [7, 8] Generated Node #3: [7, 8] from Operation: 24/3=8 Current State: 15:[7, 8], Operations: ['58-51=7', '24/3=8'] Exploring Operation: 7+8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 52, 9, 8, 70 ]
92
[ "52*9=468", "8*70=560", "560-468=92" ]
Current State: 92:[52, 9, 8, 70], Operations: [] Exploring Operation: 52*9=468, Resulting Numbers: [8, 70, 468] Generated Node #2: [8, 70, 468] from Operation: 52*9=468 Current State: 92:[8, 70, 468], Operations: ['52*9=468'] Exploring Operation: 8*70=560, Resulting Numbers: [468, 560] Generated Node #3: [468, 560] from Operation: 8*70=560 Current State: 92:[468, 560], Operations: ['52*9=468', '8*70=560'] Exploring Operation: 560-468=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 13, 87, 3, 59 ]
51
[ "59-13=46", "3*46=138", "138-87=51" ]
Current State: 51:[13, 87, 3, 59], Operations: [] Exploring Operation: 59-13=46, Resulting Numbers: [87, 3, 46] Generated Node #2: [87, 3, 46] from Operation: 59-13=46 Current State: 51:[87, 3, 46], Operations: ['59-13=46'] Exploring Operation: 3*46=138, Resulting Numbers: [87, 138] Generated Node #3: [87, 138] from Operation: 3*46=138 Current State: 51:[87, 138], Operations: ['59-13=46', '3*46=138'] Exploring Operation: 138-87=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 76, 6, 84, 83 ]
21
[ "83-76=7", "84/6=14", "7+14=21" ]
Current State: 21:[76, 6, 84, 83], Operations: [] Exploring Operation: 83-76=7, Resulting Numbers: [6, 84, 7] Generated Node #2: [6, 84, 7] from Operation: 83-76=7 Current State: 21:[6, 84, 7], Operations: ['83-76=7'] Exploring Operation: 84/6=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 84/6=14 Current State: 21:[7, 14], Operations: ['83-76=7', '84/6=14'] Exploring Operation: 7+14=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 37, 37, 34, 16 ]
85
[ "37-34=3", "16*3=48", "37+48=85" ]
Current State: 85:[37, 37, 34, 16], Operations: [] Exploring Operation: 37-34=3, Resulting Numbers: [16, 3] Generated Node #2: [16, 3] from Operation: 37-34=3 Current State: 85:[16, 3], Operations: ['37-34=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,85 equal: Goal Reached Exploring Operation: 37+48=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 3, 41, 40, 19 ]
48
[ "40-19=21", "21/3=7", "41+7=48" ]
Current State: 48:[3, 41, 40, 19], Operations: [] Exploring Operation: 40-19=21, Resulting Numbers: [3, 41, 21] Generated Node #2: [3, 41, 21] from Operation: 40-19=21 Current State: 48:[3, 41, 21], Operations: ['40-19=21'] Exploring Operation: 21/3=7, Resulting Numbers: [41, 7] Generated Node #3: [41, 7] from Operation: 21/3=7 Current State: 48:[41, 7], Operations: ['40-19=21', '21/3=7'] Exploring Operation: 41+7=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 4, 90, 48, 84 ]
57
[ "48+84=132", "132/4=33", "90-33=57" ]
Current State: 57:[4, 90, 48, 84], Operations: [] Exploring Operation: 48+84=132, Resulting Numbers: [4, 90, 132] Generated Node #2: [4, 90, 132] from Operation: 48+84=132 Current State: 57:[4, 90, 132], Operations: ['48+84=132'] Exploring Operation: 132/4=33, Resulting Numbers: [90, 33] Generated Node #3: [90, 33] from Operation: 132/4=33 Current State: 57:[90, 33], Operations: ['48+84=132', '132/4=33'] Exploring Operation: 90-33=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 8, 15, 86, 11 ]
88
[ "15-11=4", "8/4=2", "86+2=88" ]
Current State: 88:[8, 15, 86, 11], Operations: [] Exploring Operation: 15-11=4, Resulting Numbers: [8, 86, 4] Generated Node #2: [8, 86, 4] from Operation: 15-11=4 Current State: 88:[8, 86, 4], Operations: ['15-11=4'] Exploring Operation: 8/4=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 8/4=2 Current State: 88:[86, 2], Operations: ['15-11=4', '8/4=2'] Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 20, 3, 67, 24 ]
25
[ "67-20=47", "3*24=72", "72-47=25" ]
Current State: 25:[20, 3, 67, 24], Operations: [] Exploring Operation: 67-20=47, Resulting Numbers: [3, 24, 47] Generated Node #2: [3, 24, 47] from Operation: 67-20=47 Current State: 25:[3, 24, 47], Operations: ['67-20=47'] Exploring Operation: 3*24=72, Resulting Numbers: [47, 72] Generated Node #3: [47, 72] from Operation: 3*24=72 Current State: 25:[47, 72], Operations: ['67-20=47', '3*24=72'] Exploring Operation: 72-47=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 58, 38, 96, 92 ]
24
[ "58+38=96", "96-92=4", "96/4=24" ]
Current State: 24:[58, 38, 96, 92], Operations: [] Exploring Operation: 58+38=96, Resulting Numbers: [96, 92, 96] Generated Node #2: [96, 92, 96] from Operation: 58+38=96 Current State: 24:[96, 92, 96], Operations: ['58+38=96'] Exploring Operation: 96-92=4, Resulting Numbers: [4] 4,24 equal: Goal Reached Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 2, 33, 90, 97 ]
87
[ "2+97=99", "99/33=3", "90-3=87" ]
Current State: 87:[2, 33, 90, 97], Operations: [] Exploring Operation: 2+97=99, Resulting Numbers: [33, 90, 99] Generated Node #2: [33, 90, 99] from Operation: 2+97=99 Current State: 87:[33, 90, 99], Operations: ['2+97=99'] Exploring Operation: 99/33=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 99/33=3 Current State: 87:[90, 3], Operations: ['2+97=99', '99/33=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 75, 38, 6, 50 ]
73
[ "50-38=12", "12/6=2", "75-2=73" ]
Current State: 73:[75, 38, 6, 50], Operations: [] Exploring Operation: 50-38=12, Resulting Numbers: [75, 6, 12] Generated Node #2: [75, 6, 12] from Operation: 50-38=12 Current State: 73:[75, 6, 12], Operations: ['50-38=12'] Exploring Operation: 12/6=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 12/6=2 Current State: 73:[75, 2], Operations: ['50-38=12', '12/6=2'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 65, 52, 5, 7 ]
91
[ "7-5=2", "52/2=26", "65+26=91" ]
Current State: 91:[65, 52, 5, 7], Operations: [] Exploring Operation: 7-5=2, Resulting Numbers: [65, 52, 2] Generated Node #2: [65, 52, 2] from Operation: 7-5=2 Current State: 91:[65, 52, 2], Operations: ['7-5=2'] Exploring Operation: 52/2=26, Resulting Numbers: [65, 26] Generated Node #3: [65, 26] from Operation: 52/2=26 Current State: 91:[65, 26], Operations: ['7-5=2', '52/2=26'] Exploring Operation: 65+26=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 44, 16, 74, 51 ]
65
[ "44+16=60", "74+51=125", "125-60=65" ]
Current State: 65:[44, 16, 74, 51], Operations: [] Exploring Operation: 44+16=60, Resulting Numbers: [74, 51, 60] Generated Node #2: [74, 51, 60] from Operation: 44+16=60 Current State: 65:[74, 51, 60], Operations: ['44+16=60'] Exploring Operation: 74+51=125, Resulting Numbers: [60, 125] Generated Node #3: [60, 125] from Operation: 74+51=125 Current State: 65:[60, 125], Operations: ['44+16=60', '74+51=125'] Exploring Operation: 125-60=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 25, 64, 5, 12 ]
49
[ "25*5=125", "64+12=76", "125-76=49" ]
Current State: 49:[25, 64, 5, 12], Operations: [] Exploring Operation: 25*5=125, Resulting Numbers: [64, 12, 125] Generated Node #2: [64, 12, 125] from Operation: 25*5=125 Current State: 49:[64, 12, 125], Operations: ['25*5=125'] Exploring Operation: 64+12=76, Resulting Numbers: [125, 76] Generated Node #3: [125, 76] from Operation: 64+12=76 Current State: 49:[125, 76], Operations: ['25*5=125', '64+12=76'] Exploring Operation: 125-76=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 34, 59, 49, 23 ]
75
[ "34*49=1666", "59+1666=1725", "1725/23=75" ]
Current State: 75:[34, 59, 49, 23], Operations: [] Exploring Operation: 34*49=1666, Resulting Numbers: [59, 23, 1666] Generated Node #2: [59, 23, 1666] from Operation: 34*49=1666 Current State: 75:[59, 23, 1666], Operations: ['34*49=1666'] Exploring Operation: 59+1666=1725, Resulting Numbers: [23, 1725] Generated Node #3: [23, 1725] from Operation: 59+1666=1725 Current State: 75:[23, 1725], Operations: ['34*49=1666', '59+1666=1725'] Exploring Operation: 1725/23=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 35, 36, 31, 30 ]
37
[ "36-31=5", "35/5=7", "30+7=37" ]
Current State: 37:[35, 36, 31, 30], Operations: [] Exploring Operation: 36-31=5, Resulting Numbers: [35, 30, 5] Generated Node #2: [35, 30, 5] from Operation: 36-31=5 Current State: 37:[35, 30, 5], Operations: ['36-31=5'] Exploring Operation: 35/5=7, Resulting Numbers: [30, 7] Generated Node #3: [30, 7] from Operation: 35/5=7 Current State: 37:[30, 7], Operations: ['36-31=5', '35/5=7'] Exploring Operation: 30+7=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 30, 7, 2, 28 ]
67
[ "30+7=37", "2+28=30", "37+30=67" ]
Current State: 67:[30, 7, 2, 28], Operations: [] Exploring Operation: 30+7=37, Resulting Numbers: [2, 28, 37] Generated Node #2: [2, 28, 37] from Operation: 30+7=37 Current State: 67:[2, 28, 37], Operations: ['30+7=37'] Exploring Operation: 2+28=30, Resulting Numbers: [37, 30] Generated Node #3: [37, 30] from Operation: 2+28=30 Current State: 67:[37, 30], Operations: ['30+7=37', '2+28=30'] Exploring Operation: 37+30=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 85, 26, 36, 25 ]
48
[ "85-26=59", "36-25=11", "59-11=48" ]
Current State: 48:[85, 26, 36, 25], Operations: [] Exploring Operation: 85-26=59, Resulting Numbers: [36, 25, 59] Generated Node #2: [36, 25, 59] from Operation: 85-26=59 Current State: 48:[36, 25, 59], Operations: ['85-26=59'] Exploring Operation: 36-25=11, Resulting Numbers: [59, 11] Generated Node #3: [59, 11] from Operation: 36-25=11 Current State: 48:[59, 11], Operations: ['85-26=59', '36-25=11'] Exploring Operation: 59-11=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 70, 78, 51, 68 ]
90
[ "70-68=2", "78/2=39", "51+39=90" ]
Current State: 90:[70, 78, 51, 68], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [78, 51, 2] Generated Node #2: [78, 51, 2] from Operation: 70-68=2 Current State: 90:[78, 51, 2], Operations: ['70-68=2'] Exploring Operation: 78/2=39, Resulting Numbers: [51, 39] Generated Node #3: [51, 39] from Operation: 78/2=39 Current State: 90:[51, 39], Operations: ['70-68=2', '78/2=39'] Exploring Operation: 51+39=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 65, 11, 1, 23 ]
98
[ "65+11=76", "23-1=22", "76+22=98" ]
Current State: 98:[65, 11, 1, 23], Operations: [] Exploring Operation: 65+11=76, Resulting Numbers: [1, 23, 76] Generated Node #2: [1, 23, 76] from Operation: 65+11=76 Current State: 98:[1, 23, 76], Operations: ['65+11=76'] Exploring Operation: 23-1=22, Resulting Numbers: [76, 22] Generated Node #3: [76, 22] from Operation: 23-1=22 Current State: 98:[76, 22], Operations: ['65+11=76', '23-1=22'] Exploring Operation: 76+22=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 69, 26, 29, 41 ]
64
[ "29-26=3", "69/3=23", "41+23=64" ]
Current State: 64:[69, 26, 29, 41], Operations: [] Exploring Operation: 29-26=3, Resulting Numbers: [69, 41, 3] Generated Node #2: [69, 41, 3] from Operation: 29-26=3 Current State: 64:[69, 41, 3], Operations: ['29-26=3'] Exploring Operation: 69/3=23, Resulting Numbers: [41, 23] Generated Node #3: [41, 23] from Operation: 69/3=23 Current State: 64:[41, 23], Operations: ['29-26=3', '69/3=23'] Exploring Operation: 41+23=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 17, 9, 37, 35 ]
25
[ "37+35=72", "72/9=8", "17+8=25" ]
Current State: 25:[17, 9, 37, 35], Operations: [] Exploring Operation: 37+35=72, Resulting Numbers: [17, 9, 72] Generated Node #2: [17, 9, 72] from Operation: 37+35=72 Current State: 25:[17, 9, 72], Operations: ['37+35=72'] Exploring Operation: 72/9=8, Resulting Numbers: [17, 8] Generated Node #3: [17, 8] from Operation: 72/9=8 Current State: 25:[17, 8], Operations: ['37+35=72', '72/9=8'] Exploring Operation: 17+8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 26, 39, 33, 4 ]
11
[ "33-26=7", "4*7=28", "39-28=11" ]
Current State: 11:[26, 39, 33, 4], Operations: [] Exploring Operation: 33-26=7, Resulting Numbers: [39, 4, 7] Generated Node #2: [39, 4, 7] from Operation: 33-26=7 Current State: 11:[39, 4, 7], Operations: ['33-26=7'] Exploring Operation: 4*7=28, Resulting Numbers: [39, 28] Generated Node #3: [39, 28] from Operation: 4*7=28 Current State: 11:[39, 28], Operations: ['33-26=7', '4*7=28'] Exploring Operation: 39-28=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 10, 64, 60, 75 ]
66
[ "60/10=6", "75-64=11", "6*11=66" ]
Current State: 66:[10, 64, 60, 75], Operations: [] Exploring Operation: 60/10=6, Resulting Numbers: [64, 75, 6] Generated Node #2: [64, 75, 6] from Operation: 60/10=6 Current State: 66:[64, 75, 6], Operations: ['60/10=6'] Exploring Operation: 75-64=11, Resulting Numbers: [6, 11] Generated Node #3: [6, 11] from Operation: 75-64=11 Current State: 66:[6, 11], Operations: ['60/10=6', '75-64=11'] Exploring Operation: 6*11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 67, 55, 21, 20 ]
13
[ "67-55=12", "21-20=1", "12+1=13" ]
Current State: 13:[67, 55, 21, 20], Operations: [] Exploring Operation: 67-55=12, Resulting Numbers: [21, 20, 12] Generated Node #2: [21, 20, 12] from Operation: 67-55=12 Current State: 13:[21, 20, 12], Operations: ['67-55=12'] Exploring Operation: 21-20=1, Resulting Numbers: [12, 1] Generated Node #3: [12, 1] from Operation: 21-20=1 Current State: 13:[12, 1], Operations: ['67-55=12', '21-20=1'] Exploring Operation: 12+1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 50, 27, 62, 23 ]
63
[ "50-27=23", "23/23=1", "62+1=63" ]
Current State: 63:[50, 27, 62, 23], Operations: [] Exploring Operation: 50-27=23, Resulting Numbers: [62, 23, 23] Generated Node #2: [62, 23, 23] from Operation: 50-27=23 Current State: 63:[62, 23, 23], Operations: ['50-27=23'] Exploring Operation: 23/23=1, Resulting Numbers: [62, 1] Generated Node #3: [62, 1] from Operation: 23/23=1 Current State: 63:[62, 1], Operations: ['50-27=23', '23/23=1'] Exploring Operation: 62+1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 73, 40, 2, 23 ]
83
[ "73*2=146", "40+23=63", "146-63=83" ]
Current State: 83:[73, 40, 2, 23], Operations: [] Exploring Operation: 73*2=146, Resulting Numbers: [40, 23, 146] Generated Node #2: [40, 23, 146] from Operation: 73*2=146 Current State: 83:[40, 23, 146], Operations: ['73*2=146'] Exploring Operation: 40+23=63, Resulting Numbers: [146, 63] Generated Node #3: [146, 63] from Operation: 40+23=63 Current State: 83:[146, 63], Operations: ['73*2=146', '40+23=63'] Exploring Operation: 146-63=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 60, 86, 42, 14 ]
66
[ "60*14=840", "840/42=20", "86-20=66" ]
Current State: 66:[60, 86, 42, 14], Operations: [] Exploring Operation: 60*14=840, Resulting Numbers: [86, 42, 840] Generated Node #2: [86, 42, 840] from Operation: 60*14=840 Current State: 66:[86, 42, 840], Operations: ['60*14=840'] Exploring Operation: 840/42=20, Resulting Numbers: [86, 20] Generated Node #3: [86, 20] from Operation: 840/42=20 Current State: 66:[86, 20], Operations: ['60*14=840', '840/42=20'] Exploring Operation: 86-20=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 61, 63, 51, 60 ]
54
[ "60-51=9", "63/9=7", "61-7=54" ]
Current State: 54:[61, 63, 51, 60], Operations: [] Exploring Operation: 60-51=9, Resulting Numbers: [61, 63, 9] Generated Node #2: [61, 63, 9] from Operation: 60-51=9 Current State: 54:[61, 63, 9], Operations: ['60-51=9'] Exploring Operation: 63/9=7, Resulting Numbers: [61, 7] Generated Node #3: [61, 7] from Operation: 63/9=7 Current State: 54:[61, 7], Operations: ['60-51=9', '63/9=7'] Exploring Operation: 61-7=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 5, 38, 37, 94 ]
59
[ "5*38=190", "37+94=131", "190-131=59" ]
Current State: 59:[5, 38, 37, 94], Operations: [] Exploring Operation: 5*38=190, Resulting Numbers: [37, 94, 190] Generated Node #2: [37, 94, 190] from Operation: 5*38=190 Current State: 59:[37, 94, 190], Operations: ['5*38=190'] Exploring Operation: 37+94=131, Resulting Numbers: [190, 131] Generated Node #3: [190, 131] from Operation: 37+94=131 Current State: 59:[190, 131], Operations: ['5*38=190', '37+94=131'] Exploring Operation: 190-131=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 71, 10, 76, 60 ]
89
[ "76-60=16", "10*16=160", "160-71=89" ]
Current State: 89:[71, 10, 76, 60], Operations: [] Exploring Operation: 76-60=16, Resulting Numbers: [71, 10, 16] Generated Node #2: [71, 10, 16] from Operation: 76-60=16 Current State: 89:[71, 10, 16], Operations: ['76-60=16'] Exploring Operation: 10*16=160, Resulting Numbers: [71, 160] Generated Node #3: [71, 160] from Operation: 10*16=160 Current State: 89:[71, 160], Operations: ['76-60=16', '10*16=160'] Exploring Operation: 160-71=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 5, 4, 8, 89 ]
82
[ "5-4=1", "89-8=81", "1+81=82" ]
Current State: 82:[5, 4, 8, 89], Operations: [] Exploring Operation: 5-4=1, Resulting Numbers: [8, 89, 1] Generated Node #2: [8, 89, 1] from Operation: 5-4=1 Current State: 82:[8, 89, 1], Operations: ['5-4=1'] Exploring Operation: 89-8=81, Resulting Numbers: [1, 81] Generated Node #3: [1, 81] from Operation: 89-8=81 Current State: 82:[1, 81], Operations: ['5-4=1', '89-8=81'] Exploring Operation: 1+81=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 8, 86, 42, 11 ]
41
[ "8+86=94", "42+11=53", "94-53=41" ]
Current State: 41:[8, 86, 42, 11], Operations: [] Exploring Operation: 8+86=94, Resulting Numbers: [42, 11, 94] Generated Node #2: [42, 11, 94] from Operation: 8+86=94 Current State: 41:[42, 11, 94], Operations: ['8+86=94'] Exploring Operation: 42+11=53, Resulting Numbers: [94, 53] Generated Node #3: [94, 53] from Operation: 42+11=53 Current State: 41:[94, 53], Operations: ['8+86=94', '42+11=53'] Exploring Operation: 94-53=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 32, 74, 24, 16 ]
82
[ "74-32=42", "24+16=40", "42+40=82" ]
Current State: 82:[32, 74, 24, 16], Operations: [] Exploring Operation: 74-32=42, Resulting Numbers: [24, 16, 42] Generated Node #2: [24, 16, 42] from Operation: 74-32=42 Current State: 82:[24, 16, 42], Operations: ['74-32=42'] Exploring Operation: 24+16=40, Resulting Numbers: [42, 40] Generated Node #3: [42, 40] from Operation: 24+16=40 Current State: 82:[42, 40], Operations: ['74-32=42', '24+16=40'] Exploring Operation: 42+40=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 33, 64, 98, 76 ]
76
[ "33+64=97", "98-97=1", "76*1=76" ]
Current State: 76:[33, 64, 98, 76], Operations: [] Exploring Operation: 33+64=97, Resulting Numbers: [98, 76, 97] Generated Node #2: [98, 76, 97] from Operation: 33+64=97 Current State: 76:[98, 76, 97], Operations: ['33+64=97'] Exploring Operation: 98-97=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 98-97=1 Current State: 76:[76, 1], Operations: ['33+64=97', '98-97=1'] Exploring Operation: 76*1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 81, 99, 55, 63 ]
80
[ "81+63=144", "55*144=7920", "7920/99=80" ]
Current State: 80:[81, 99, 55, 63], Operations: [] Exploring Operation: 81+63=144, Resulting Numbers: [99, 55, 144] Generated Node #2: [99, 55, 144] from Operation: 81+63=144 Current State: 80:[99, 55, 144], Operations: ['81+63=144'] Exploring Operation: 55*144=7920, Resulting Numbers: [99, 7920] Generated Node #3: [99, 7920] from Operation: 55*144=7920 Current State: 80:[99, 7920], Operations: ['81+63=144', '55*144=7920'] Exploring Operation: 7920/99=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4