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
[ 31, 22, 93, 11 ]
51
[ "31+22=53", "93+11=104", "104-53=51" ]
Current State: 51:[31, 22, 93, 11], Operations: [] Exploring Operation: 31+22=53, Resulting Numbers: [93, 11, 53] Generated Node #2: [93, 11, 53] from Operation: 31+22=53 Current State: 51:[93, 11, 53], Operations: ['31+22=53'] Exploring Operation: 93+11=104, Resulting Numbers: [53, 104] Generated Node #3: [53, 104] from Operation: 93+11=104 Current State: 51:[53, 104], Operations: ['31+22=53', '93+11=104'] Exploring Operation: 104-53=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 89, 65, 51 ]
26
[ "89+65=154", "154/2=77", "77-51=26" ]
Current State: 26:[2, 89, 65, 51], Operations: [] Exploring Operation: 89+65=154, Resulting Numbers: [2, 51, 154] Generated Node #2: [2, 51, 154] from Operation: 89+65=154 Current State: 26:[2, 51, 154], Operations: ['89+65=154'] Exploring Operation: 154/2=77, Resulting Numbers: [51, 77] Generated Node #3: [51, 77] from Operation: 154/2=77 Current State: 26:[51, 77], Operations: ['89+65=154', '154/2=77'] Exploring Operation: 77-51=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 95, 92, 31, 2 ]
29
[ "95+31=126", "126/2=63", "92-63=29" ]
Current State: 29:[95, 92, 31, 2], Operations: [] Exploring Operation: 95+31=126, Resulting Numbers: [92, 2, 126] Generated Node #2: [92, 2, 126] from Operation: 95+31=126 Current State: 29:[92, 2, 126], Operations: ['95+31=126'] Exploring Operation: 126/2=63, Resulting Numbers: [92, 63] Generated Node #3: [92, 63] from Operation: 126/2=63 Current State: 29:[92, 63], Operations: ['95+31=126', '126/2=63'] Exploring Operation: 92-63=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 93, 71, 54, 50 ]
18
[ "93-71=22", "54-50=4", "22-4=18" ]
Current State: 18:[93, 71, 54, 50], Operations: [] Exploring Operation: 93-71=22, Resulting Numbers: [54, 50, 22] Generated Node #2: [54, 50, 22] from Operation: 93-71=22 Current State: 18:[54, 50, 22], Operations: ['93-71=22'] Exploring Operation: 54-50=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 54-50=4 Current State: 18:[22, 4], Operations: ['93-71=22', '54-50=4'] Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 25, 22, 16, 7 ]
25
[ "22-16=6", "7-6=1", "25*1=25" ]
Current State: 25:[25, 22, 16, 7], Operations: [] Exploring Operation: 22-16=6, Resulting Numbers: [25, 7, 6] Generated Node #2: [25, 7, 6] from Operation: 22-16=6 Current State: 25:[25, 7, 6], Operations: ['22-16=6'] Exploring Operation: 7-6=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 7-6=1 Current State: 25:[25, 1], Operations: ['22-16=6', '7-6=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 12, 96, 5, 72 ]
10
[ "96-72=24", "24/12=2", "5*2=10" ]
Current State: 10:[12, 96, 5, 72], Operations: [] Exploring Operation: 96-72=24, Resulting Numbers: [12, 5, 24] Generated Node #2: [12, 5, 24] from Operation: 96-72=24 Current State: 10:[12, 5, 24], Operations: ['96-72=24'] Exploring Operation: 24/12=2, Resulting Numbers: [5, 2] Generated Node #3: [5, 2] from Operation: 24/12=2 Current State: 10:[5, 2], Operations: ['96-72=24', '24/12=2'] Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 44, 53, 80, 42 ]
84
[ "53-42=11", "44/11=4", "80+4=84" ]
Current State: 84:[44, 53, 80, 42], Operations: [] Exploring Operation: 53-42=11, Resulting Numbers: [44, 80, 11] Generated Node #2: [44, 80, 11] from Operation: 53-42=11 Current State: 84:[44, 80, 11], Operations: ['53-42=11'] Exploring Operation: 44/11=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 44/11=4 Current State: 84:[80, 4], Operations: ['53-42=11', '44/11=4'] Exploring Operation: 80+4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 58, 99, 82, 96 ]
27
[ "99-58=41", "96-82=14", "41-14=27" ]
Current State: 27:[58, 99, 82, 96], Operations: [] Exploring Operation: 99-58=41, Resulting Numbers: [82, 96, 41] Generated Node #2: [82, 96, 41] from Operation: 99-58=41 Current State: 27:[82, 96, 41], Operations: ['99-58=41'] Exploring Operation: 96-82=14, Resulting Numbers: [41, 14] Generated Node #3: [41, 14] from Operation: 96-82=14 Current State: 27:[41, 14], Operations: ['99-58=41', '96-82=14'] Exploring Operation: 41-14=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 30, 69, 14, 26 ]
27
[ "69-30=39", "26-14=12", "39-12=27" ]
Current State: 27:[30, 69, 14, 26], Operations: [] Exploring Operation: 69-30=39, Resulting Numbers: [14, 26, 39] Generated Node #2: [14, 26, 39] from Operation: 69-30=39 Current State: 27:[14, 26, 39], Operations: ['69-30=39'] Exploring Operation: 26-14=12, Resulting Numbers: [39, 12] Generated Node #3: [39, 12] from Operation: 26-14=12 Current State: 27:[39, 12], Operations: ['69-30=39', '26-14=12'] Exploring Operation: 39-12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 25, 50, 32, 8 ]
100
[ "50-25=25", "32/8=4", "25*4=100" ]
Current State: 100:[25, 50, 32, 8], Operations: [] Exploring Operation: 50-25=25, Resulting Numbers: [32, 8, 25] Generated Node #2: [32, 8, 25] from Operation: 50-25=25 Current State: 100:[32, 8, 25], Operations: ['50-25=25'] Exploring Operation: 32/8=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 32/8=4 Current State: 100:[25, 4], Operations: ['50-25=25', '32/8=4'] Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 54, 50, 44, 82 ]
93
[ "54-50=4", "44/4=11", "82+11=93" ]
Current State: 93:[54, 50, 44, 82], Operations: [] Exploring Operation: 54-50=4, Resulting Numbers: [44, 82, 4] Generated Node #2: [44, 82, 4] from Operation: 54-50=4 Current State: 93:[44, 82, 4], Operations: ['54-50=4'] Exploring Operation: 44/4=11, Resulting Numbers: [82, 11] Generated Node #3: [82, 11] from Operation: 44/4=11 Current State: 93:[82, 11], Operations: ['54-50=4', '44/4=11'] Exploring Operation: 82+11=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 60, 90, 90, 80 ]
30
[ "90*80=7200", "7200/60=120", "120-90=30" ]
Current State: 30:[60, 90, 90, 80], Operations: [] Exploring Operation: 90*80=7200, Resulting Numbers: [60, 7200] Generated Node #2: [60, 7200] from Operation: 90*80=7200 Current State: 30:[60, 7200], Operations: ['90*80=7200'] Exploring Operation: 7200/60=120, Resulting Numbers: [120] 120,30 equal: Goal Reached Exploring Operation: 120-90=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 73, 91, 55, 2 ]
100
[ "73-55=18", "18/2=9", "91+9=100" ]
Current State: 100:[73, 91, 55, 2], Operations: [] Exploring Operation: 73-55=18, Resulting Numbers: [91, 2, 18] Generated Node #2: [91, 2, 18] from Operation: 73-55=18 Current State: 100:[91, 2, 18], Operations: ['73-55=18'] Exploring Operation: 18/2=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 18/2=9 Current State: 100:[91, 9], Operations: ['73-55=18', '18/2=9'] Exploring Operation: 91+9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 47, 94, 26, 72 ]
49
[ "94/47=2", "26+72=98", "98/2=49" ]
Current State: 49:[47, 94, 26, 72], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [26, 72, 2] Generated Node #2: [26, 72, 2] from Operation: 94/47=2 Current State: 49:[26, 72, 2], Operations: ['94/47=2'] Exploring Operation: 26+72=98, Resulting Numbers: [2, 98] Generated Node #3: [2, 98] from Operation: 26+72=98 Current State: 49:[2, 98], Operations: ['94/47=2', '26+72=98'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 28, 11, 28, 7 ]
91
[ "28-11=17", "7*17=119", "119-28=91" ]
Current State: 91:[28, 11, 28, 7], Operations: [] Exploring Operation: 28-11=17, Resulting Numbers: [7, 17] Generated Node #2: [7, 17] from Operation: 28-11=17 Current State: 91:[7, 17], Operations: ['28-11=17'] Exploring Operation: 7*17=119, Resulting Numbers: [119] 119,91 equal: Goal Reached Exploring Operation: 119-28=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 57, 11, 84, 50 ]
88
[ "57-11=46", "84+50=134", "134-46=88" ]
Current State: 88:[57, 11, 84, 50], Operations: [] Exploring Operation: 57-11=46, Resulting Numbers: [84, 50, 46] Generated Node #2: [84, 50, 46] from Operation: 57-11=46 Current State: 88:[84, 50, 46], Operations: ['57-11=46'] Exploring Operation: 84+50=134, Resulting Numbers: [46, 134] Generated Node #3: [46, 134] from Operation: 84+50=134 Current State: 88:[46, 134], Operations: ['57-11=46', '84+50=134'] Exploring Operation: 134-46=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 15, 66, 80, 75 ]
70
[ "75/15=5", "80-66=14", "5*14=70" ]
Current State: 70:[15, 66, 80, 75], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [66, 80, 5] Generated Node #2: [66, 80, 5] from Operation: 75/15=5 Current State: 70:[66, 80, 5], Operations: ['75/15=5'] Exploring Operation: 80-66=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 80-66=14 Current State: 70:[5, 14], Operations: ['75/15=5', '80-66=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 25, 62, 9, 89 ]
14
[ "62-25=37", "89+37=126", "126/9=14" ]
Current State: 14:[25, 62, 9, 89], Operations: [] Exploring Operation: 62-25=37, Resulting Numbers: [9, 89, 37] Generated Node #2: [9, 89, 37] from Operation: 62-25=37 Current State: 14:[9, 89, 37], Operations: ['62-25=37'] Exploring Operation: 89+37=126, Resulting Numbers: [9, 126] Generated Node #3: [9, 126] from Operation: 89+37=126 Current State: 14:[9, 126], Operations: ['62-25=37', '89+37=126'] Exploring Operation: 126/9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 36, 2, 22, 43 ]
99
[ "36-2=34", "22+43=65", "34+65=99" ]
Current State: 99:[36, 2, 22, 43], Operations: [] Exploring Operation: 36-2=34, Resulting Numbers: [22, 43, 34] Generated Node #2: [22, 43, 34] from Operation: 36-2=34 Current State: 99:[22, 43, 34], Operations: ['36-2=34'] Exploring Operation: 22+43=65, Resulting Numbers: [34, 65] Generated Node #3: [34, 65] from Operation: 22+43=65 Current State: 99:[34, 65], Operations: ['36-2=34', '22+43=65'] Exploring Operation: 34+65=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 59, 12, 16, 11 ]
36
[ "59-11=48", "12*48=576", "576/16=36" ]
Current State: 36:[59, 12, 16, 11], Operations: [] Exploring Operation: 59-11=48, Resulting Numbers: [12, 16, 48] Generated Node #2: [12, 16, 48] from Operation: 59-11=48 Current State: 36:[12, 16, 48], Operations: ['59-11=48'] Exploring Operation: 12*48=576, Resulting Numbers: [16, 576] Generated Node #3: [16, 576] from Operation: 12*48=576 Current State: 36:[16, 576], Operations: ['59-11=48', '12*48=576'] Exploring Operation: 576/16=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 91, 42, 63, 35 ]
60
[ "91+35=126", "126/42=3", "63-3=60" ]
Current State: 60:[91, 42, 63, 35], Operations: [] Exploring Operation: 91+35=126, Resulting Numbers: [42, 63, 126] Generated Node #2: [42, 63, 126] from Operation: 91+35=126 Current State: 60:[42, 63, 126], Operations: ['91+35=126'] Exploring Operation: 126/42=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 126/42=3 Current State: 60:[63, 3], Operations: ['91+35=126', '126/42=3'] Exploring Operation: 63-3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 18, 54, 17, 22 ]
83
[ "54/18=3", "22*3=66", "17+66=83" ]
Current State: 83:[18, 54, 17, 22], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [17, 22, 3] Generated Node #2: [17, 22, 3] from Operation: 54/18=3 Current State: 83:[17, 22, 3], Operations: ['54/18=3'] Exploring Operation: 22*3=66, Resulting Numbers: [17, 66] Generated Node #3: [17, 66] from Operation: 22*3=66 Current State: 83:[17, 66], Operations: ['54/18=3', '22*3=66'] Exploring Operation: 17+66=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 7, 44, 36, 51 ]
13
[ "51-44=7", "7*7=49", "49-36=13" ]
Current State: 13:[7, 44, 36, 51], Operations: [] Exploring Operation: 51-44=7, Resulting Numbers: [7, 36, 7] Generated Node #2: [7, 36, 7] from Operation: 51-44=7 Current State: 13:[7, 36, 7], Operations: ['51-44=7'] Exploring Operation: 7*7=49, Resulting Numbers: [36, 49] Generated Node #3: [36, 49] from Operation: 7*7=49 Current State: 13:[36, 49], Operations: ['51-44=7', '7*7=49'] Exploring Operation: 49-36=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 51, 16, 4, 54 ]
12
[ "54-51=3", "16/4=4", "3*4=12" ]
Current State: 12:[51, 16, 4, 54], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [16, 4, 3] Generated Node #2: [16, 4, 3] from Operation: 54-51=3 Current State: 12:[16, 4, 3], Operations: ['54-51=3'] Exploring Operation: 16/4=4, Resulting Numbers: [3, 4] Generated Node #3: [3, 4] from Operation: 16/4=4 Current State: 12:[3, 4], Operations: ['54-51=3', '16/4=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 99, 40, 74, 35 ]
50
[ "99-40=59", "74+35=109", "109-59=50" ]
Current State: 50:[99, 40, 74, 35], Operations: [] Exploring Operation: 99-40=59, Resulting Numbers: [74, 35, 59] Generated Node #2: [74, 35, 59] from Operation: 99-40=59 Current State: 50:[74, 35, 59], Operations: ['99-40=59'] Exploring Operation: 74+35=109, Resulting Numbers: [59, 109] Generated Node #3: [59, 109] from Operation: 74+35=109 Current State: 50:[59, 109], Operations: ['99-40=59', '74+35=109'] Exploring Operation: 109-59=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 82, 86, 38, 40 ]
39
[ "40-38=2", "86/2=43", "82-43=39" ]
Current State: 39:[82, 86, 38, 40], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [82, 86, 2] Generated Node #2: [82, 86, 2] from Operation: 40-38=2 Current State: 39:[82, 86, 2], Operations: ['40-38=2'] Exploring Operation: 86/2=43, Resulting Numbers: [82, 43] Generated Node #3: [82, 43] from Operation: 86/2=43 Current State: 39:[82, 43], Operations: ['40-38=2', '86/2=43'] Exploring Operation: 82-43=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 23, 27, 66, 30 ]
28
[ "23*30=690", "66+690=756", "756/27=28" ]
Current State: 28:[23, 27, 66, 30], Operations: [] Exploring Operation: 23*30=690, Resulting Numbers: [27, 66, 690] Generated Node #2: [27, 66, 690] from Operation: 23*30=690 Current State: 28:[27, 66, 690], Operations: ['23*30=690'] Exploring Operation: 66+690=756, Resulting Numbers: [27, 756] Generated Node #3: [27, 756] from Operation: 66+690=756 Current State: 28:[27, 756], Operations: ['23*30=690', '66+690=756'] Exploring Operation: 756/27=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 43, 33, 5, 78 ]
44
[ "43+78=121", "33*5=165", "165-121=44" ]
Current State: 44:[43, 33, 5, 78], Operations: [] Exploring Operation: 43+78=121, Resulting Numbers: [33, 5, 121] Generated Node #2: [33, 5, 121] from Operation: 43+78=121 Current State: 44:[33, 5, 121], Operations: ['43+78=121'] Exploring Operation: 33*5=165, Resulting Numbers: [121, 165] Generated Node #3: [121, 165] from Operation: 33*5=165 Current State: 44:[121, 165], Operations: ['43+78=121', '33*5=165'] Exploring Operation: 165-121=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 54, 69, 4, 76 ]
18
[ "69+4=73", "76-73=3", "54/3=18" ]
Current State: 18:[54, 69, 4, 76], Operations: [] Exploring Operation: 69+4=73, Resulting Numbers: [54, 76, 73] Generated Node #2: [54, 76, 73] from Operation: 69+4=73 Current State: 18:[54, 76, 73], Operations: ['69+4=73'] Exploring Operation: 76-73=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 76-73=3 Current State: 18:[54, 3], Operations: ['69+4=73', '76-73=3'] Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 3, 78, 15, 63 ]
75
[ "15/3=5", "78-63=15", "5*15=75" ]
Current State: 75:[3, 78, 15, 63], Operations: [] Exploring Operation: 15/3=5, Resulting Numbers: [78, 63, 5] Generated Node #2: [78, 63, 5] from Operation: 15/3=5 Current State: 75:[78, 63, 5], Operations: ['15/3=5'] Exploring Operation: 78-63=15, Resulting Numbers: [5, 15] Generated Node #3: [5, 15] from Operation: 78-63=15 Current State: 75:[5, 15], Operations: ['15/3=5', '78-63=15'] Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 3, 27, 31, 61 ]
16
[ "3+61=64", "31-27=4", "64/4=16" ]
Current State: 16:[3, 27, 31, 61], Operations: [] Exploring Operation: 3+61=64, Resulting Numbers: [27, 31, 64] Generated Node #2: [27, 31, 64] from Operation: 3+61=64 Current State: 16:[27, 31, 64], Operations: ['3+61=64'] Exploring Operation: 31-27=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 31-27=4 Current State: 16:[64, 4], Operations: ['3+61=64', '31-27=4'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 22, 79, 80, 73 ]
64
[ "79-22=57", "80-73=7", "57+7=64" ]
Current State: 64:[22, 79, 80, 73], Operations: [] Exploring Operation: 79-22=57, Resulting Numbers: [80, 73, 57] Generated Node #2: [80, 73, 57] from Operation: 79-22=57 Current State: 64:[80, 73, 57], Operations: ['79-22=57'] Exploring Operation: 80-73=7, Resulting Numbers: [57, 7] Generated Node #3: [57, 7] from Operation: 80-73=7 Current State: 64:[57, 7], Operations: ['79-22=57', '80-73=7'] Exploring Operation: 57+7=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 3, 49, 21, 62 ]
93
[ "3+49=52", "62-21=41", "52+41=93" ]
Current State: 93:[3, 49, 21, 62], Operations: [] Exploring Operation: 3+49=52, Resulting Numbers: [21, 62, 52] Generated Node #2: [21, 62, 52] from Operation: 3+49=52 Current State: 93:[21, 62, 52], Operations: ['3+49=52'] Exploring Operation: 62-21=41, Resulting Numbers: [52, 41] Generated Node #3: [52, 41] from Operation: 62-21=41 Current State: 93:[52, 41], Operations: ['3+49=52', '62-21=41'] Exploring Operation: 52+41=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 30, 90, 26, 29 ]
94
[ "30*90=2700", "26+2700=2726", "2726/29=94" ]
Current State: 94:[30, 90, 26, 29], Operations: [] Exploring Operation: 30*90=2700, Resulting Numbers: [26, 29, 2700] Generated Node #2: [26, 29, 2700] from Operation: 30*90=2700 Current State: 94:[26, 29, 2700], Operations: ['30*90=2700'] Exploring Operation: 26+2700=2726, Resulting Numbers: [29, 2726] Generated Node #3: [29, 2726] from Operation: 26+2700=2726 Current State: 94:[29, 2726], Operations: ['30*90=2700', '26+2700=2726'] Exploring Operation: 2726/29=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 21, 2, 39, 83 ]
74
[ "39-21=18", "18/2=9", "83-9=74" ]
Current State: 74:[21, 2, 39, 83], Operations: [] Exploring Operation: 39-21=18, Resulting Numbers: [2, 83, 18] Generated Node #2: [2, 83, 18] from Operation: 39-21=18 Current State: 74:[2, 83, 18], Operations: ['39-21=18'] Exploring Operation: 18/2=9, Resulting Numbers: [83, 9] Generated Node #3: [83, 9] from Operation: 18/2=9 Current State: 74:[83, 9], Operations: ['39-21=18', '18/2=9'] Exploring Operation: 83-9=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 60, 93, 46, 51 ]
15
[ "93-46=47", "51-47=4", "60/4=15" ]
Current State: 15:[60, 93, 46, 51], Operations: [] Exploring Operation: 93-46=47, Resulting Numbers: [60, 51, 47] Generated Node #2: [60, 51, 47] from Operation: 93-46=47 Current State: 15:[60, 51, 47], Operations: ['93-46=47'] Exploring Operation: 51-47=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 51-47=4 Current State: 15:[60, 4], Operations: ['93-46=47', '51-47=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 2, 41, 8, 41 ]
72
[ "41-2=39", "41-8=33", "39+33=72" ]
Current State: 72:[2, 41, 8, 41], Operations: [] Exploring Operation: 41-2=39, Resulting Numbers: [8, 39] Generated Node #2: [8, 39] from Operation: 41-2=39 Current State: 72:[8, 39], Operations: ['41-2=39'] Exploring Operation: 41-8=33, Resulting Numbers: [39, 33] Generated Node #3: [39, 33] from Operation: 41-8=33 Current State: 72:[39, 33], Operations: ['41-2=39', '41-8=33'] Exploring Operation: 39+33=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 25, 83, 82, 10 ]
19
[ "25+83=108", "82+108=190", "190/10=19" ]
Current State: 19:[25, 83, 82, 10], Operations: [] Exploring Operation: 25+83=108, Resulting Numbers: [82, 10, 108] Generated Node #2: [82, 10, 108] from Operation: 25+83=108 Current State: 19:[82, 10, 108], Operations: ['25+83=108'] Exploring Operation: 82+108=190, Resulting Numbers: [10, 190] Generated Node #3: [10, 190] from Operation: 82+108=190 Current State: 19:[10, 190], Operations: ['25+83=108', '82+108=190'] Exploring Operation: 190/10=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 54, 81, 71, 45 ]
80
[ "54-45=9", "81/9=9", "71+9=80" ]
Current State: 80:[54, 81, 71, 45], Operations: [] Exploring Operation: 54-45=9, Resulting Numbers: [81, 71, 9] Generated Node #2: [81, 71, 9] from Operation: 54-45=9 Current State: 80:[81, 71, 9], Operations: ['54-45=9'] Exploring Operation: 81/9=9, Resulting Numbers: [71, 9] Generated Node #3: [71, 9] from Operation: 81/9=9 Current State: 80:[71, 9], Operations: ['54-45=9', '81/9=9'] Exploring Operation: 71+9=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 33, 70, 13, 67 ]
91
[ "70-33=37", "67-13=54", "37+54=91" ]
Current State: 91:[33, 70, 13, 67], Operations: [] Exploring Operation: 70-33=37, Resulting Numbers: [13, 67, 37] Generated Node #2: [13, 67, 37] from Operation: 70-33=37 Current State: 91:[13, 67, 37], Operations: ['70-33=37'] Exploring Operation: 67-13=54, Resulting Numbers: [37, 54] Generated Node #3: [37, 54] from Operation: 67-13=54 Current State: 91:[37, 54], Operations: ['70-33=37', '67-13=54'] Exploring Operation: 37+54=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 17, 10, 30, 43 ]
100
[ "17+10=27", "30+43=73", "27+73=100" ]
Current State: 100:[17, 10, 30, 43], Operations: [] Exploring Operation: 17+10=27, Resulting Numbers: [30, 43, 27] Generated Node #2: [30, 43, 27] from Operation: 17+10=27 Current State: 100:[30, 43, 27], Operations: ['17+10=27'] Exploring Operation: 30+43=73, Resulting Numbers: [27, 73] Generated Node #3: [27, 73] from Operation: 30+43=73 Current State: 100:[27, 73], Operations: ['17+10=27', '30+43=73'] Exploring Operation: 27+73=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 59, 16, 94, 90 ]
39
[ "59-16=43", "94-90=4", "43-4=39" ]
Current State: 39:[59, 16, 94, 90], Operations: [] Exploring Operation: 59-16=43, Resulting Numbers: [94, 90, 43] Generated Node #2: [94, 90, 43] from Operation: 59-16=43 Current State: 39:[94, 90, 43], Operations: ['59-16=43'] Exploring Operation: 94-90=4, Resulting Numbers: [43, 4] Generated Node #3: [43, 4] from Operation: 94-90=4 Current State: 39:[43, 4], Operations: ['59-16=43', '94-90=4'] Exploring Operation: 43-4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 44, 59, 36, 96 ]
75
[ "59-44=15", "96-36=60", "15+60=75" ]
Current State: 75:[44, 59, 36, 96], Operations: [] Exploring Operation: 59-44=15, Resulting Numbers: [36, 96, 15] Generated Node #2: [36, 96, 15] from Operation: 59-44=15 Current State: 75:[36, 96, 15], Operations: ['59-44=15'] Exploring Operation: 96-36=60, Resulting Numbers: [15, 60] Generated Node #3: [15, 60] from Operation: 96-36=60 Current State: 75:[15, 60], Operations: ['59-44=15', '96-36=60'] Exploring Operation: 15+60=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 11, 33, 83, 64 ]
49
[ "33/11=3", "83+64=147", "147/3=49" ]
Current State: 49:[11, 33, 83, 64], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [83, 64, 3] Generated Node #2: [83, 64, 3] from Operation: 33/11=3 Current State: 49:[83, 64, 3], Operations: ['33/11=3'] Exploring Operation: 83+64=147, Resulting Numbers: [3, 147] Generated Node #3: [3, 147] from Operation: 83+64=147 Current State: 49:[3, 147], Operations: ['33/11=3', '83+64=147'] Exploring Operation: 147/3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 67, 71, 49, 95 ]
92
[ "67+71=138", "95-49=46", "138-46=92" ]
Current State: 92:[67, 71, 49, 95], Operations: [] Exploring Operation: 67+71=138, Resulting Numbers: [49, 95, 138] Generated Node #2: [49, 95, 138] from Operation: 67+71=138 Current State: 92:[49, 95, 138], Operations: ['67+71=138'] Exploring Operation: 95-49=46, Resulting Numbers: [138, 46] Generated Node #3: [138, 46] from Operation: 95-49=46 Current State: 92:[138, 46], Operations: ['67+71=138', '95-49=46'] Exploring Operation: 138-46=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 50, 48, 64, 62 ]
28
[ "50+48=98", "64+62=126", "126-98=28" ]
Current State: 28:[50, 48, 64, 62], Operations: [] Exploring Operation: 50+48=98, Resulting Numbers: [64, 62, 98] Generated Node #2: [64, 62, 98] from Operation: 50+48=98 Current State: 28:[64, 62, 98], Operations: ['50+48=98'] Exploring Operation: 64+62=126, Resulting Numbers: [98, 126] Generated Node #3: [98, 126] from Operation: 64+62=126 Current State: 28:[98, 126], Operations: ['50+48=98', '64+62=126'] Exploring Operation: 126-98=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 52, 90, 72, 39 ]
36
[ "72*39=2808", "2808/52=54", "90-54=36" ]
Current State: 36:[52, 90, 72, 39], Operations: [] Exploring Operation: 72*39=2808, Resulting Numbers: [52, 90, 2808] Generated Node #2: [52, 90, 2808] from Operation: 72*39=2808 Current State: 36:[52, 90, 2808], Operations: ['72*39=2808'] Exploring Operation: 2808/52=54, Resulting Numbers: [90, 54] Generated Node #3: [90, 54] from Operation: 2808/52=54 Current State: 36:[90, 54], Operations: ['72*39=2808', '2808/52=54'] Exploring Operation: 90-54=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 69, 94, 83, 21 ]
59
[ "69+94=163", "83+21=104", "163-104=59" ]
Current State: 59:[69, 94, 83, 21], Operations: [] Exploring Operation: 69+94=163, Resulting Numbers: [83, 21, 163] Generated Node #2: [83, 21, 163] from Operation: 69+94=163 Current State: 59:[83, 21, 163], Operations: ['69+94=163'] Exploring Operation: 83+21=104, Resulting Numbers: [163, 104] Generated Node #3: [163, 104] from Operation: 83+21=104 Current State: 59:[163, 104], Operations: ['69+94=163', '83+21=104'] Exploring Operation: 163-104=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 58, 41, 68, 11 ]
42
[ "58+41=99", "68-11=57", "99-57=42" ]
Current State: 42:[58, 41, 68, 11], Operations: [] Exploring Operation: 58+41=99, Resulting Numbers: [68, 11, 99] Generated Node #2: [68, 11, 99] from Operation: 58+41=99 Current State: 42:[68, 11, 99], Operations: ['58+41=99'] Exploring Operation: 68-11=57, Resulting Numbers: [99, 57] Generated Node #3: [99, 57] from Operation: 68-11=57 Current State: 42:[99, 57], Operations: ['58+41=99', '68-11=57'] Exploring Operation: 99-57=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 25, 63, 37, 88 ]
87
[ "63-25=38", "37+88=125", "125-38=87" ]
Current State: 87:[25, 63, 37, 88], Operations: [] Exploring Operation: 63-25=38, Resulting Numbers: [37, 88, 38] Generated Node #2: [37, 88, 38] from Operation: 63-25=38 Current State: 87:[37, 88, 38], Operations: ['63-25=38'] Exploring Operation: 37+88=125, Resulting Numbers: [38, 125] Generated Node #3: [38, 125] from Operation: 37+88=125 Current State: 87:[38, 125], Operations: ['63-25=38', '37+88=125'] Exploring Operation: 125-38=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 74, 47, 56, 45 ]
74
[ "74-47=27", "56+45=101", "101-27=74" ]
Current State: 74:[74, 47, 56, 45], Operations: [] Exploring Operation: 74-47=27, Resulting Numbers: [56, 45, 27] Generated Node #2: [56, 45, 27] from Operation: 74-47=27 Current State: 74:[56, 45, 27], Operations: ['74-47=27'] Exploring Operation: 56+45=101, Resulting Numbers: [27, 101] Generated Node #3: [27, 101] from Operation: 56+45=101 Current State: 74:[27, 101], Operations: ['74-47=27', '56+45=101'] Exploring Operation: 101-27=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 62, 72, 70, 32 ]
60
[ "62-32=30", "72-70=2", "30*2=60" ]
Current State: 60:[62, 72, 70, 32], Operations: [] Exploring Operation: 62-32=30, Resulting Numbers: [72, 70, 30] Generated Node #2: [72, 70, 30] from Operation: 62-32=30 Current State: 60:[72, 70, 30], Operations: ['62-32=30'] Exploring Operation: 72-70=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 72-70=2 Current State: 60:[30, 2], Operations: ['62-32=30', '72-70=2'] Exploring Operation: 30*2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 40, 44, 34, 69 ]
31
[ "44-40=4", "69-34=35", "35-4=31" ]
Current State: 31:[40, 44, 34, 69], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [34, 69, 4] Generated Node #2: [34, 69, 4] from Operation: 44-40=4 Current State: 31:[34, 69, 4], Operations: ['44-40=4'] Exploring Operation: 69-34=35, Resulting Numbers: [4, 35] Generated Node #3: [4, 35] from Operation: 69-34=35 Current State: 31:[4, 35], Operations: ['44-40=4', '69-34=35'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 74, 99, 24, 28 ]
27
[ "99-74=25", "24+28=52", "52-25=27" ]
Current State: 27:[74, 99, 24, 28], Operations: [] Exploring Operation: 99-74=25, Resulting Numbers: [24, 28, 25] Generated Node #2: [24, 28, 25] from Operation: 99-74=25 Current State: 27:[24, 28, 25], Operations: ['99-74=25'] Exploring Operation: 24+28=52, Resulting Numbers: [25, 52] Generated Node #3: [25, 52] from Operation: 24+28=52 Current State: 27:[25, 52], Operations: ['99-74=25', '24+28=52'] Exploring Operation: 52-25=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 15, 9, 24, 82 ]
29
[ "15*9=135", "24+82=106", "135-106=29" ]
Current State: 29:[15, 9, 24, 82], Operations: [] Exploring Operation: 15*9=135, Resulting Numbers: [24, 82, 135] Generated Node #2: [24, 82, 135] from Operation: 15*9=135 Current State: 29:[24, 82, 135], Operations: ['15*9=135'] Exploring Operation: 24+82=106, Resulting Numbers: [135, 106] Generated Node #3: [135, 106] from Operation: 24+82=106 Current State: 29:[135, 106], Operations: ['15*9=135', '24+82=106'] Exploring Operation: 135-106=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 16, 46, 9, 7 ]
14
[ "46-16=30", "9+7=16", "30-16=14" ]
Current State: 14:[16, 46, 9, 7], Operations: [] Exploring Operation: 46-16=30, Resulting Numbers: [9, 7, 30] Generated Node #2: [9, 7, 30] from Operation: 46-16=30 Current State: 14:[9, 7, 30], Operations: ['46-16=30'] Exploring Operation: 9+7=16, Resulting Numbers: [30, 16] Generated Node #3: [30, 16] from Operation: 9+7=16 Current State: 14:[30, 16], Operations: ['46-16=30', '9+7=16'] Exploring Operation: 30-16=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 10, 14, 15, 3 ]
12
[ "10+14=24", "15-3=12", "24-12=12" ]
Current State: 12:[10, 14, 15, 3], Operations: [] Exploring Operation: 10+14=24, Resulting Numbers: [15, 3, 24] Generated Node #2: [15, 3, 24] from Operation: 10+14=24 Current State: 12:[15, 3, 24], Operations: ['10+14=24'] Exploring Operation: 15-3=12, Resulting Numbers: [24, 12] Generated Node #3: [24, 12] from Operation: 15-3=12 Current State: 12:[24, 12], Operations: ['10+14=24', '15-3=12'] Exploring Operation: 24-12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 52, 5, 13, 3 ]
52
[ "5+3=8", "13*8=104", "104-52=52" ]
Current State: 52:[52, 5, 13, 3], Operations: [] Exploring Operation: 5+3=8, Resulting Numbers: [52, 13, 8] Generated Node #2: [52, 13, 8] from Operation: 5+3=8 Current State: 52:[52, 13, 8], Operations: ['5+3=8'] Exploring Operation: 13*8=104, Resulting Numbers: [52, 104] Generated Node #3: [52, 104] from Operation: 13*8=104 Current State: 52:[52, 104], Operations: ['5+3=8', '13*8=104'] Exploring Operation: 104-52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 96, 89, 95, 54 ]
70
[ "95-89=6", "96/6=16", "54+16=70" ]
Current State: 70:[96, 89, 95, 54], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [96, 54, 6] Generated Node #2: [96, 54, 6] from Operation: 95-89=6 Current State: 70:[96, 54, 6], Operations: ['95-89=6'] Exploring Operation: 96/6=16, Resulting Numbers: [54, 16] Generated Node #3: [54, 16] from Operation: 96/6=16 Current State: 70:[54, 16], Operations: ['95-89=6', '96/6=16'] Exploring Operation: 54+16=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 6, 32, 87, 97 ]
48
[ "6+32=38", "97-87=10", "38+10=48" ]
Current State: 48:[6, 32, 87, 97], Operations: [] Exploring Operation: 6+32=38, Resulting Numbers: [87, 97, 38] Generated Node #2: [87, 97, 38] from Operation: 6+32=38 Current State: 48:[87, 97, 38], Operations: ['6+32=38'] Exploring Operation: 97-87=10, Resulting Numbers: [38, 10] Generated Node #3: [38, 10] from Operation: 97-87=10 Current State: 48:[38, 10], Operations: ['6+32=38', '97-87=10'] Exploring Operation: 38+10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 49, 38, 22, 52 ]
77
[ "49*22=1078", "52-38=14", "1078/14=77" ]
Current State: 77:[49, 38, 22, 52], Operations: [] Exploring Operation: 49*22=1078, Resulting Numbers: [38, 52, 1078] Generated Node #2: [38, 52, 1078] from Operation: 49*22=1078 Current State: 77:[38, 52, 1078], Operations: ['49*22=1078'] Exploring Operation: 52-38=14, Resulting Numbers: [1078, 14] Generated Node #3: [1078, 14] from Operation: 52-38=14 Current State: 77:[1078, 14], Operations: ['49*22=1078', '52-38=14'] Exploring Operation: 1078/14=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 3, 62, 57, 2 ]
21
[ "62-57=5", "2+5=7", "3*7=21" ]
Current State: 21:[3, 62, 57, 2], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [3, 2, 5] Generated Node #2: [3, 2, 5] from Operation: 62-57=5 Current State: 21:[3, 2, 5], Operations: ['62-57=5'] Exploring Operation: 2+5=7, Resulting Numbers: [3, 7] Generated Node #3: [3, 7] from Operation: 2+5=7 Current State: 21:[3, 7], Operations: ['62-57=5', '2+5=7'] Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 93, 72, 82, 2 ]
81
[ "93+72=165", "82+2=84", "165-84=81" ]
Current State: 81:[93, 72, 82, 2], Operations: [] Exploring Operation: 93+72=165, Resulting Numbers: [82, 2, 165] Generated Node #2: [82, 2, 165] from Operation: 93+72=165 Current State: 81:[82, 2, 165], Operations: ['93+72=165'] Exploring Operation: 82+2=84, Resulting Numbers: [165, 84] Generated Node #3: [165, 84] from Operation: 82+2=84 Current State: 81:[165, 84], Operations: ['93+72=165', '82+2=84'] Exploring Operation: 165-84=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 23, 85, 69, 34 ]
54
[ "69/23=3", "85-34=51", "3+51=54" ]
Current State: 54:[23, 85, 69, 34], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [85, 34, 3] Generated Node #2: [85, 34, 3] from Operation: 69/23=3 Current State: 54:[85, 34, 3], Operations: ['69/23=3'] Exploring Operation: 85-34=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 85-34=51 Current State: 54:[3, 51], Operations: ['69/23=3', '85-34=51'] Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 58, 35, 51, 50 ]
22
[ "58-35=23", "51-50=1", "23-1=22" ]
Current State: 22:[58, 35, 51, 50], Operations: [] Exploring Operation: 58-35=23, Resulting Numbers: [51, 50, 23] Generated Node #2: [51, 50, 23] from Operation: 58-35=23 Current State: 22:[51, 50, 23], Operations: ['58-35=23'] Exploring Operation: 51-50=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 51-50=1 Current State: 22:[23, 1], Operations: ['58-35=23', '51-50=1'] Exploring Operation: 23-1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 8, 92, 93, 73 ]
59
[ "92-73=19", "8*19=152", "152-93=59" ]
Current State: 59:[8, 92, 93, 73], Operations: [] Exploring Operation: 92-73=19, Resulting Numbers: [8, 93, 19] Generated Node #2: [8, 93, 19] from Operation: 92-73=19 Current State: 59:[8, 93, 19], Operations: ['92-73=19'] Exploring Operation: 8*19=152, Resulting Numbers: [93, 152] Generated Node #3: [93, 152] from Operation: 8*19=152 Current State: 59:[93, 152], Operations: ['92-73=19', '8*19=152'] Exploring Operation: 152-93=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 4, 18, 67, 95 ]
44
[ "4*18=72", "95-67=28", "72-28=44" ]
Current State: 44:[4, 18, 67, 95], Operations: [] Exploring Operation: 4*18=72, Resulting Numbers: [67, 95, 72] Generated Node #2: [67, 95, 72] from Operation: 4*18=72 Current State: 44:[67, 95, 72], Operations: ['4*18=72'] Exploring Operation: 95-67=28, Resulting Numbers: [72, 28] Generated Node #3: [72, 28] from Operation: 95-67=28 Current State: 44:[72, 28], Operations: ['4*18=72', '95-67=28'] Exploring Operation: 72-28=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 5, 93, 82, 16 ]
71
[ "93-82=11", "5*11=55", "16+55=71" ]
Current State: 71:[5, 93, 82, 16], Operations: [] Exploring Operation: 93-82=11, Resulting Numbers: [5, 16, 11] Generated Node #2: [5, 16, 11] from Operation: 93-82=11 Current State: 71:[5, 16, 11], Operations: ['93-82=11'] Exploring Operation: 5*11=55, Resulting Numbers: [16, 55] Generated Node #3: [16, 55] from Operation: 5*11=55 Current State: 71:[16, 55], Operations: ['93-82=11', '5*11=55'] Exploring Operation: 16+55=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 40, 44, 37, 42 ]
30
[ "40-37=3", "42/3=14", "44-14=30" ]
Current State: 30:[40, 44, 37, 42], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [44, 42, 3] Generated Node #2: [44, 42, 3] from Operation: 40-37=3 Current State: 30:[44, 42, 3], Operations: ['40-37=3'] Exploring Operation: 42/3=14, Resulting Numbers: [44, 14] Generated Node #3: [44, 14] from Operation: 42/3=14 Current State: 30:[44, 14], Operations: ['40-37=3', '42/3=14'] Exploring Operation: 44-14=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 27, 39, 17, 82 ]
53
[ "39-27=12", "82-17=65", "65-12=53" ]
Current State: 53:[27, 39, 17, 82], Operations: [] Exploring Operation: 39-27=12, Resulting Numbers: [17, 82, 12] Generated Node #2: [17, 82, 12] from Operation: 39-27=12 Current State: 53:[17, 82, 12], Operations: ['39-27=12'] Exploring Operation: 82-17=65, Resulting Numbers: [12, 65] Generated Node #3: [12, 65] from Operation: 82-17=65 Current State: 53:[12, 65], Operations: ['39-27=12', '82-17=65'] Exploring Operation: 65-12=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 87, 35, 64, 51 ]
83
[ "51-35=16", "64/16=4", "87-4=83" ]
Current State: 83:[87, 35, 64, 51], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [87, 64, 16] Generated Node #2: [87, 64, 16] from Operation: 51-35=16 Current State: 83:[87, 64, 16], Operations: ['51-35=16'] Exploring Operation: 64/16=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 64/16=4 Current State: 83:[87, 4], Operations: ['51-35=16', '64/16=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 46, 17, 8, 16 ]
53
[ "46-17=29", "8+16=24", "29+24=53" ]
Current State: 53:[46, 17, 8, 16], Operations: [] Exploring Operation: 46-17=29, Resulting Numbers: [8, 16, 29] Generated Node #2: [8, 16, 29] from Operation: 46-17=29 Current State: 53:[8, 16, 29], Operations: ['46-17=29'] Exploring Operation: 8+16=24, Resulting Numbers: [29, 24] Generated Node #3: [29, 24] from Operation: 8+16=24 Current State: 53:[29, 24], Operations: ['46-17=29', '8+16=24'] Exploring Operation: 29+24=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 67, 57, 98, 5 ]
98
[ "98-67=31", "5*31=155", "155-57=98" ]
Current State: 98:[67, 57, 98, 5], Operations: [] Exploring Operation: 98-67=31, Resulting Numbers: [57, 5, 31] Generated Node #2: [57, 5, 31] from Operation: 98-67=31 Current State: 98:[57, 5, 31], Operations: ['98-67=31'] Exploring Operation: 5*31=155, Resulting Numbers: [57, 155] Generated Node #3: [57, 155] from Operation: 5*31=155 Current State: 98:[57, 155], Operations: ['98-67=31', '5*31=155'] Exploring Operation: 155-57=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 93, 96, 35, 99 ]
66
[ "99-96=3", "93/3=31", "35+31=66" ]
Current State: 66:[93, 96, 35, 99], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [93, 35, 3] Generated Node #2: [93, 35, 3] from Operation: 99-96=3 Current State: 66:[93, 35, 3], Operations: ['99-96=3'] Exploring Operation: 93/3=31, Resulting Numbers: [35, 31] Generated Node #3: [35, 31] from Operation: 93/3=31 Current State: 66:[35, 31], Operations: ['99-96=3', '93/3=31'] Exploring Operation: 35+31=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 2, 77, 80, 81 ]
39
[ "80-77=3", "81-3=78", "78/2=39" ]
Current State: 39:[2, 77, 80, 81], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [2, 81, 3] Generated Node #2: [2, 81, 3] from Operation: 80-77=3 Current State: 39:[2, 81, 3], Operations: ['80-77=3'] Exploring Operation: 81-3=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 81-3=78 Current State: 39:[2, 78], Operations: ['80-77=3', '81-3=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 30, 83, 58, 96 ]
75
[ "30+83=113", "96-58=38", "113-38=75" ]
Current State: 75:[30, 83, 58, 96], Operations: [] Exploring Operation: 30+83=113, Resulting Numbers: [58, 96, 113] Generated Node #2: [58, 96, 113] from Operation: 30+83=113 Current State: 75:[58, 96, 113], Operations: ['30+83=113'] Exploring Operation: 96-58=38, Resulting Numbers: [113, 38] Generated Node #3: [113, 38] from Operation: 96-58=38 Current State: 75:[113, 38], Operations: ['30+83=113', '96-58=38'] Exploring Operation: 113-38=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 58, 70, 44, 40 ]
96
[ "70-58=12", "44+40=84", "12+84=96" ]
Current State: 96:[58, 70, 44, 40], Operations: [] Exploring Operation: 70-58=12, Resulting Numbers: [44, 40, 12] Generated Node #2: [44, 40, 12] from Operation: 70-58=12 Current State: 96:[44, 40, 12], Operations: ['70-58=12'] Exploring Operation: 44+40=84, Resulting Numbers: [12, 84] Generated Node #3: [12, 84] from Operation: 44+40=84 Current State: 96:[12, 84], Operations: ['70-58=12', '44+40=84'] Exploring Operation: 12+84=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 8, 15, 90, 1 ]
56
[ "90/15=6", "1+6=7", "8*7=56" ]
Current State: 56:[8, 15, 90, 1], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [8, 1, 6] Generated Node #2: [8, 1, 6] from Operation: 90/15=6 Current State: 56:[8, 1, 6], Operations: ['90/15=6'] Exploring Operation: 1+6=7, Resulting Numbers: [8, 7] Generated Node #3: [8, 7] from Operation: 1+6=7 Current State: 56:[8, 7], Operations: ['90/15=6', '1+6=7'] Exploring Operation: 8*7=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 63, 25, 28, 87 ]
66
[ "28-25=3", "63/3=21", "87-21=66" ]
Current State: 66:[63, 25, 28, 87], Operations: [] Exploring Operation: 28-25=3, Resulting Numbers: [63, 87, 3] Generated Node #2: [63, 87, 3] from Operation: 28-25=3 Current State: 66:[63, 87, 3], Operations: ['28-25=3'] Exploring Operation: 63/3=21, Resulting Numbers: [87, 21] Generated Node #3: [87, 21] from Operation: 63/3=21 Current State: 66:[87, 21], Operations: ['28-25=3', '63/3=21'] Exploring Operation: 87-21=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 51, 64, 73, 38 ]
98
[ "64-51=13", "73+38=111", "111-13=98" ]
Current State: 98:[51, 64, 73, 38], Operations: [] Exploring Operation: 64-51=13, Resulting Numbers: [73, 38, 13] Generated Node #2: [73, 38, 13] from Operation: 64-51=13 Current State: 98:[73, 38, 13], Operations: ['64-51=13'] Exploring Operation: 73+38=111, Resulting Numbers: [13, 111] Generated Node #3: [13, 111] from Operation: 73+38=111 Current State: 98:[13, 111], Operations: ['64-51=13', '73+38=111'] Exploring Operation: 111-13=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 65, 65, 67, 33 ]
69
[ "65+67=132", "132/33=4", "65+4=69" ]
Current State: 69:[65, 65, 67, 33], Operations: [] Exploring Operation: 65+67=132, Resulting Numbers: [33, 132] Generated Node #2: [33, 132] from Operation: 65+67=132 Current State: 69:[33, 132], Operations: ['65+67=132'] Exploring Operation: 132/33=4, Resulting Numbers: [4] 4,69 equal: Goal Reached Exploring Operation: 65+4=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 86, 48, 64, 16 ]
34
[ "86-48=38", "64/16=4", "38-4=34" ]
Current State: 34:[86, 48, 64, 16], Operations: [] Exploring Operation: 86-48=38, Resulting Numbers: [64, 16, 38] Generated Node #2: [64, 16, 38] from Operation: 86-48=38 Current State: 34:[64, 16, 38], Operations: ['86-48=38'] Exploring Operation: 64/16=4, Resulting Numbers: [38, 4] Generated Node #3: [38, 4] from Operation: 64/16=4 Current State: 34:[38, 4], Operations: ['86-48=38', '64/16=4'] Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 30, 77, 56, 47 ]
57
[ "77-30=47", "47/47=1", "56+1=57" ]
Current State: 57:[30, 77, 56, 47], Operations: [] Exploring Operation: 77-30=47, Resulting Numbers: [56, 47, 47] Generated Node #2: [56, 47, 47] from Operation: 77-30=47 Current State: 57:[56, 47, 47], Operations: ['77-30=47'] Exploring Operation: 47/47=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 47/47=1 Current State: 57:[56, 1], Operations: ['77-30=47', '47/47=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 63, 36, 49, 51 ]
54
[ "63-36=27", "51-49=2", "27*2=54" ]
Current State: 54:[63, 36, 49, 51], Operations: [] Exploring Operation: 63-36=27, Resulting Numbers: [49, 51, 27] Generated Node #2: [49, 51, 27] from Operation: 63-36=27 Current State: 54:[49, 51, 27], Operations: ['63-36=27'] Exploring Operation: 51-49=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 51-49=2 Current State: 54:[27, 2], Operations: ['63-36=27', '51-49=2'] Exploring Operation: 27*2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 44, 41, 58, 26 ]
87
[ "44-41=3", "58+26=84", "3+84=87" ]
Current State: 87:[44, 41, 58, 26], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [58, 26, 3] Generated Node #2: [58, 26, 3] from Operation: 44-41=3 Current State: 87:[58, 26, 3], Operations: ['44-41=3'] Exploring Operation: 58+26=84, Resulting Numbers: [3, 84] Generated Node #3: [3, 84] from Operation: 58+26=84 Current State: 87:[3, 84], Operations: ['44-41=3', '58+26=84'] Exploring Operation: 3+84=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 28, 3, 39, 3 ]
28
[ "3-3=0", "39*0=0", "28+0=28" ]
Current State: 28:[28, 3, 39, 3], Operations: [] Exploring Operation: 3-3=0, Resulting Numbers: [28, 39, 0] Generated Node #2: [28, 39, 0] from Operation: 3-3=0 Current State: 28:[28, 39, 0], Operations: ['3-3=0'] Exploring Operation: 39*0=0, Resulting Numbers: [28, 0] Generated Node #3: [28, 0] from Operation: 39*0=0 Current State: 28:[28, 0], Operations: ['3-3=0', '39*0=0'] Exploring Operation: 28+0=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 12, 34, 2, 55 ]
44
[ "34-12=22", "22/2=11", "55-11=44" ]
Current State: 44:[12, 34, 2, 55], Operations: [] Exploring Operation: 34-12=22, Resulting Numbers: [2, 55, 22] Generated Node #2: [2, 55, 22] from Operation: 34-12=22 Current State: 44:[2, 55, 22], Operations: ['34-12=22'] Exploring Operation: 22/2=11, Resulting Numbers: [55, 11] Generated Node #3: [55, 11] from Operation: 22/2=11 Current State: 44:[55, 11], Operations: ['34-12=22', '22/2=11'] Exploring Operation: 55-11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 83, 8, 2, 21 ]
87
[ "83-2=81", "8*21=168", "168-81=87" ]
Current State: 87:[83, 8, 2, 21], Operations: [] Exploring Operation: 83-2=81, Resulting Numbers: [8, 21, 81] Generated Node #2: [8, 21, 81] from Operation: 83-2=81 Current State: 87:[8, 21, 81], Operations: ['83-2=81'] Exploring Operation: 8*21=168, Resulting Numbers: [81, 168] Generated Node #3: [81, 168] from Operation: 8*21=168 Current State: 87:[81, 168], Operations: ['83-2=81', '8*21=168'] Exploring Operation: 168-81=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 20, 38, 71, 39 ]
51
[ "71-20=51", "39-38=1", "51*1=51" ]
Current State: 51:[20, 38, 71, 39], Operations: [] Exploring Operation: 71-20=51, Resulting Numbers: [38, 39, 51] Generated Node #2: [38, 39, 51] from Operation: 71-20=51 Current State: 51:[38, 39, 51], Operations: ['71-20=51'] Exploring Operation: 39-38=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 39-38=1 Current State: 51:[51, 1], Operations: ['71-20=51', '39-38=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 81, 7, 83, 94 ]
85
[ "81-7=74", "94-83=11", "74+11=85" ]
Current State: 85:[81, 7, 83, 94], Operations: [] Exploring Operation: 81-7=74, Resulting Numbers: [83, 94, 74] Generated Node #2: [83, 94, 74] from Operation: 81-7=74 Current State: 85:[83, 94, 74], Operations: ['81-7=74'] Exploring Operation: 94-83=11, Resulting Numbers: [74, 11] Generated Node #3: [74, 11] from Operation: 94-83=11 Current State: 85:[74, 11], Operations: ['81-7=74', '94-83=11'] Exploring Operation: 74+11=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 4, 15, 64, 27 ]
48
[ "15-4=11", "64-27=37", "11+37=48" ]
Current State: 48:[4, 15, 64, 27], Operations: [] Exploring Operation: 15-4=11, Resulting Numbers: [64, 27, 11] Generated Node #2: [64, 27, 11] from Operation: 15-4=11 Current State: 48:[64, 27, 11], Operations: ['15-4=11'] Exploring Operation: 64-27=37, Resulting Numbers: [11, 37] Generated Node #3: [11, 37] from Operation: 64-27=37 Current State: 48:[11, 37], Operations: ['15-4=11', '64-27=37'] Exploring Operation: 11+37=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 16, 79, 90, 85 ]
19
[ "16+79=95", "90-85=5", "95/5=19" ]
Current State: 19:[16, 79, 90, 85], Operations: [] Exploring Operation: 16+79=95, Resulting Numbers: [90, 85, 95] Generated Node #2: [90, 85, 95] from Operation: 16+79=95 Current State: 19:[90, 85, 95], Operations: ['16+79=95'] Exploring Operation: 90-85=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 90-85=5 Current State: 19:[95, 5], Operations: ['16+79=95', '90-85=5'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 68, 47, 63, 53 ]
11
[ "68-47=21", "63-53=10", "21-10=11" ]
Current State: 11:[68, 47, 63, 53], Operations: [] Exploring Operation: 68-47=21, Resulting Numbers: [63, 53, 21] Generated Node #2: [63, 53, 21] from Operation: 68-47=21 Current State: 11:[63, 53, 21], Operations: ['68-47=21'] Exploring Operation: 63-53=10, Resulting Numbers: [21, 10] Generated Node #3: [21, 10] from Operation: 63-53=10 Current State: 11:[21, 10], Operations: ['68-47=21', '63-53=10'] Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 3, 36, 4, 9 ]
52
[ "3+36=39", "4+9=13", "39+13=52" ]
Current State: 52:[3, 36, 4, 9], Operations: [] Exploring Operation: 3+36=39, Resulting Numbers: [4, 9, 39] Generated Node #2: [4, 9, 39] from Operation: 3+36=39 Current State: 52:[4, 9, 39], Operations: ['3+36=39'] Exploring Operation: 4+9=13, Resulting Numbers: [39, 13] Generated Node #3: [39, 13] from Operation: 4+9=13 Current State: 52:[39, 13], Operations: ['3+36=39', '4+9=13'] Exploring Operation: 39+13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 31, 28, 6, 47 ]
41
[ "31+47=78", "78/6=13", "28+13=41" ]
Current State: 41:[31, 28, 6, 47], Operations: [] Exploring Operation: 31+47=78, Resulting Numbers: [28, 6, 78] Generated Node #2: [28, 6, 78] from Operation: 31+47=78 Current State: 41:[28, 6, 78], Operations: ['31+47=78'] Exploring Operation: 78/6=13, Resulting Numbers: [28, 13] Generated Node #3: [28, 13] from Operation: 78/6=13 Current State: 41:[28, 13], Operations: ['31+47=78', '78/6=13'] Exploring Operation: 28+13=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 49, 29, 51, 45 ]
84
[ "49+29=78", "51-45=6", "78+6=84" ]
Current State: 84:[49, 29, 51, 45], Operations: [] Exploring Operation: 49+29=78, Resulting Numbers: [51, 45, 78] Generated Node #2: [51, 45, 78] from Operation: 49+29=78 Current State: 84:[51, 45, 78], Operations: ['49+29=78'] Exploring Operation: 51-45=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 51-45=6 Current State: 84:[78, 6], Operations: ['49+29=78', '51-45=6'] Exploring Operation: 78+6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 97, 96, 69, 61 ]
63
[ "97+96=193", "69+61=130", "193-130=63" ]
Current State: 63:[97, 96, 69, 61], Operations: [] Exploring Operation: 97+96=193, Resulting Numbers: [69, 61, 193] Generated Node #2: [69, 61, 193] from Operation: 97+96=193 Current State: 63:[69, 61, 193], Operations: ['97+96=193'] Exploring Operation: 69+61=130, Resulting Numbers: [193, 130] Generated Node #3: [193, 130] from Operation: 69+61=130 Current State: 63:[193, 130], Operations: ['97+96=193', '69+61=130'] Exploring Operation: 193-130=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 59, 46, 94, 45 ]
35
[ "94-59=35", "46-45=1", "35*1=35" ]
Current State: 35:[59, 46, 94, 45], Operations: [] Exploring Operation: 94-59=35, Resulting Numbers: [46, 45, 35] Generated Node #2: [46, 45, 35] from Operation: 94-59=35 Current State: 35:[46, 45, 35], Operations: ['94-59=35'] Exploring Operation: 46-45=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 46-45=1 Current State: 35:[35, 1], Operations: ['94-59=35', '46-45=1'] Exploring Operation: 35*1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 89, 99, 7, 15 ]
83
[ "89+99=188", "7*15=105", "188-105=83" ]
Current State: 83:[89, 99, 7, 15], Operations: [] Exploring Operation: 89+99=188, Resulting Numbers: [7, 15, 188] Generated Node #2: [7, 15, 188] from Operation: 89+99=188 Current State: 83:[7, 15, 188], Operations: ['89+99=188'] Exploring Operation: 7*15=105, Resulting Numbers: [188, 105] Generated Node #3: [188, 105] from Operation: 7*15=105 Current State: 83:[188, 105], Operations: ['89+99=188', '7*15=105'] Exploring Operation: 188-105=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 14, 27, 56, 71 ]
94
[ "56/14=4", "27+71=98", "98-4=94" ]
Current State: 94:[14, 27, 56, 71], Operations: [] Exploring Operation: 56/14=4, Resulting Numbers: [27, 71, 4] Generated Node #2: [27, 71, 4] from Operation: 56/14=4 Current State: 94:[27, 71, 4], Operations: ['56/14=4'] Exploring Operation: 27+71=98, Resulting Numbers: [4, 98] Generated Node #3: [4, 98] from Operation: 27+71=98 Current State: 94:[4, 98], Operations: ['56/14=4', '27+71=98'] Exploring Operation: 98-4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4