Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 22, 29, 71, 24 ]
58
[ "71*24=1704", "1704-22=1682", "1682/29=58" ]
Current State: 58:[22, 29, 71, 24], Operations: [] Exploring Operation: 71*24=1704, Resulting Numbers: [22, 29, 1704] Generated Node #2: [22, 29, 1704] from Operation: 71*24=1704 Current State: 58:[22, 29, 1704], Operations: ['71*24=1704'] Exploring Operation: 1704-22=1682, Resulting Numbers: [29, 1682] Generated Node #3: [29, 1682] from Operation: 1704-22=1682 Current State: 58:[29, 1682], Operations: ['71*24=1704', '1704-22=1682'] Exploring Operation: 1682/29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 31, 6, 58, 31 ]
20
[ "31+58=89", "31+89=120", "120/6=20" ]
Current State: 20:[31, 6, 58, 31], Operations: [] Exploring Operation: 31+58=89, Resulting Numbers: [6, 89] Generated Node #2: [6, 89] from Operation: 31+58=89 Current State: 20:[6, 89], Operations: ['31+58=89'] Exploring Operation: 31+89=120, Resulting Numbers: [6, 120] Generated Node #3: [6, 120] from Operation: 31+89=120 Current State: 20:[6, 120], Operations: ['31+58=89', '31+89=120'] Exploring Operation: 120/6=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 2, 79, 21, 78 ]
44
[ "79+21=100", "100-78=22", "2*22=44" ]
Current State: 44:[2, 79, 21, 78], Operations: [] Exploring Operation: 79+21=100, Resulting Numbers: [2, 78, 100] Generated Node #2: [2, 78, 100] from Operation: 79+21=100 Current State: 44:[2, 78, 100], Operations: ['79+21=100'] Exploring Operation: 100-78=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 100-78=22 Current State: 44:[2, 22], Operations: ['79+21=100', '100-78=22'] Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 23, 13, 2, 17 ]
80
[ "23-17=6", "13*6=78", "2+78=80" ]
Current State: 80:[23, 13, 2, 17], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [13, 2, 6] Generated Node #2: [13, 2, 6] from Operation: 23-17=6 Current State: 80:[13, 2, 6], Operations: ['23-17=6'] Exploring Operation: 13*6=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 13*6=78 Current State: 80:[2, 78], Operations: ['23-17=6', '13*6=78'] Exploring Operation: 2+78=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 65, 23, 75, 8 ]
86
[ "65+23=88", "88/8=11", "75+11=86" ]
Current State: 86:[65, 23, 75, 8], Operations: [] Exploring Operation: 65+23=88, Resulting Numbers: [75, 8, 88] Generated Node #2: [75, 8, 88] from Operation: 65+23=88 Current State: 86:[75, 8, 88], Operations: ['65+23=88'] Exploring Operation: 88/8=11, Resulting Numbers: [75, 11] Generated Node #3: [75, 11] from Operation: 88/8=11 Current State: 86:[75, 11], Operations: ['65+23=88', '88/8=11'] Exploring Operation: 75+11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 67, 8, 70, 37 ]
87
[ "70-67=3", "37-8=29", "3*29=87" ]
Current State: 87:[67, 8, 70, 37], Operations: [] Exploring Operation: 70-67=3, Resulting Numbers: [8, 37, 3] Generated Node #2: [8, 37, 3] from Operation: 70-67=3 Current State: 87:[8, 37, 3], Operations: ['70-67=3'] Exploring Operation: 37-8=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 37-8=29 Current State: 87:[3, 29], Operations: ['70-67=3', '37-8=29'] Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 75, 69, 5, 31 ]
32
[ "75-69=6", "31-5=26", "6+26=32" ]
Current State: 32:[75, 69, 5, 31], Operations: [] Exploring Operation: 75-69=6, Resulting Numbers: [5, 31, 6] Generated Node #2: [5, 31, 6] from Operation: 75-69=6 Current State: 32:[5, 31, 6], Operations: ['75-69=6'] Exploring Operation: 31-5=26, Resulting Numbers: [6, 26] Generated Node #3: [6, 26] from Operation: 31-5=26 Current State: 32:[6, 26], Operations: ['75-69=6', '31-5=26'] Exploring Operation: 6+26=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 27, 84, 40, 42 ]
55
[ "84-27=57", "42-40=2", "57-2=55" ]
Current State: 55:[27, 84, 40, 42], Operations: [] Exploring Operation: 84-27=57, Resulting Numbers: [40, 42, 57] Generated Node #2: [40, 42, 57] from Operation: 84-27=57 Current State: 55:[40, 42, 57], Operations: ['84-27=57'] Exploring Operation: 42-40=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 42-40=2 Current State: 55:[57, 2], Operations: ['84-27=57', '42-40=2'] Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 96, 44, 9, 58 ]
15
[ "96-44=52", "9+58=67", "67-52=15" ]
Current State: 15:[96, 44, 9, 58], Operations: [] Exploring Operation: 96-44=52, Resulting Numbers: [9, 58, 52] Generated Node #2: [9, 58, 52] from Operation: 96-44=52 Current State: 15:[9, 58, 52], Operations: ['96-44=52'] Exploring Operation: 9+58=67, Resulting Numbers: [52, 67] Generated Node #3: [52, 67] from Operation: 9+58=67 Current State: 15:[52, 67], Operations: ['96-44=52', '9+58=67'] Exploring Operation: 67-52=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 21, 7, 25, 44 ]
31
[ "21/7=3", "25*3=75", "75-44=31" ]
Current State: 31:[21, 7, 25, 44], Operations: [] Exploring Operation: 21/7=3, Resulting Numbers: [25, 44, 3] Generated Node #2: [25, 44, 3] from Operation: 21/7=3 Current State: 31:[25, 44, 3], Operations: ['21/7=3'] Exploring Operation: 25*3=75, Resulting Numbers: [44, 75] Generated Node #3: [44, 75] from Operation: 25*3=75 Current State: 31:[44, 75], Operations: ['21/7=3', '25*3=75'] Exploring Operation: 75-44=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 32, 14, 78, 54 ]
86
[ "32+14=46", "78+54=132", "132-46=86" ]
Current State: 86:[32, 14, 78, 54], Operations: [] Exploring Operation: 32+14=46, Resulting Numbers: [78, 54, 46] Generated Node #2: [78, 54, 46] from Operation: 32+14=46 Current State: 86:[78, 54, 46], Operations: ['32+14=46'] Exploring Operation: 78+54=132, Resulting Numbers: [46, 132] Generated Node #3: [46, 132] from Operation: 78+54=132 Current State: 86:[46, 132], Operations: ['32+14=46', '78+54=132'] Exploring Operation: 132-46=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 27, 30, 92, 24 ]
88
[ "30*92=2760", "2760/24=115", "115-27=88" ]
Current State: 88:[27, 30, 92, 24], Operations: [] Exploring Operation: 30*92=2760, Resulting Numbers: [27, 24, 2760] Generated Node #2: [27, 24, 2760] from Operation: 30*92=2760 Current State: 88:[27, 24, 2760], Operations: ['30*92=2760'] Exploring Operation: 2760/24=115, Resulting Numbers: [27, 115] Generated Node #3: [27, 115] from Operation: 2760/24=115 Current State: 88:[27, 115], Operations: ['30*92=2760', '2760/24=115'] Exploring Operation: 115-27=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 49, 92, 93, 16 ]
33
[ "49-16=33", "93-92=1", "33*1=33" ]
Current State: 33:[49, 92, 93, 16], Operations: [] Exploring Operation: 49-16=33, Resulting Numbers: [92, 93, 33] Generated Node #2: [92, 93, 33] from Operation: 49-16=33 Current State: 33:[92, 93, 33], Operations: ['49-16=33'] Exploring Operation: 93-92=1, Resulting Numbers: [33, 1] Generated Node #3: [33, 1] from Operation: 93-92=1 Current State: 33:[33, 1], Operations: ['49-16=33', '93-92=1'] Exploring Operation: 33*1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 22, 10, 63, 78 ]
27
[ "22-10=12", "78-63=15", "12+15=27" ]
Current State: 27:[22, 10, 63, 78], Operations: [] Exploring Operation: 22-10=12, Resulting Numbers: [63, 78, 12] Generated Node #2: [63, 78, 12] from Operation: 22-10=12 Current State: 27:[63, 78, 12], Operations: ['22-10=12'] Exploring Operation: 78-63=15, Resulting Numbers: [12, 15] Generated Node #3: [12, 15] from Operation: 78-63=15 Current State: 27:[12, 15], Operations: ['22-10=12', '78-63=15'] Exploring Operation: 12+15=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 55, 24, 54, 84 ]
53
[ "24+84=108", "108/54=2", "55-2=53" ]
Current State: 53:[55, 24, 54, 84], Operations: [] Exploring Operation: 24+84=108, Resulting Numbers: [55, 54, 108] Generated Node #2: [55, 54, 108] from Operation: 24+84=108 Current State: 53:[55, 54, 108], Operations: ['24+84=108'] Exploring Operation: 108/54=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 108/54=2 Current State: 53:[55, 2], Operations: ['24+84=108', '108/54=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 33, 68, 8, 6 ]
67
[ "8-6=2", "68/2=34", "33+34=67" ]
Current State: 67:[33, 68, 8, 6], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [33, 68, 2] Generated Node #2: [33, 68, 2] from Operation: 8-6=2 Current State: 67:[33, 68, 2], Operations: ['8-6=2'] Exploring Operation: 68/2=34, Resulting Numbers: [33, 34] Generated Node #3: [33, 34] from Operation: 68/2=34 Current State: 67:[33, 34], Operations: ['8-6=2', '68/2=34'] Exploring Operation: 33+34=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 82, 44, 36, 5 ]
88
[ "82*44=3608", "36+5=41", "3608/41=88" ]
Current State: 88:[82, 44, 36, 5], Operations: [] Exploring Operation: 82*44=3608, Resulting Numbers: [36, 5, 3608] Generated Node #2: [36, 5, 3608] from Operation: 82*44=3608 Current State: 88:[36, 5, 3608], Operations: ['82*44=3608'] Exploring Operation: 36+5=41, Resulting Numbers: [3608, 41] Generated Node #3: [3608, 41] from Operation: 36+5=41 Current State: 88:[3608, 41], Operations: ['82*44=3608', '36+5=41'] Exploring Operation: 3608/41=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 56, 74, 19, 81 ]
80
[ "74-56=18", "81-19=62", "18+62=80" ]
Current State: 80:[56, 74, 19, 81], Operations: [] Exploring Operation: 74-56=18, Resulting Numbers: [19, 81, 18] Generated Node #2: [19, 81, 18] from Operation: 74-56=18 Current State: 80:[19, 81, 18], Operations: ['74-56=18'] Exploring Operation: 81-19=62, Resulting Numbers: [18, 62] Generated Node #3: [18, 62] from Operation: 81-19=62 Current State: 80:[18, 62], Operations: ['74-56=18', '81-19=62'] Exploring Operation: 18+62=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 31, 14, 39, 55 ]
49
[ "31+14=45", "39+55=94", "94-45=49" ]
Current State: 49:[31, 14, 39, 55], Operations: [] Exploring Operation: 31+14=45, Resulting Numbers: [39, 55, 45] Generated Node #2: [39, 55, 45] from Operation: 31+14=45 Current State: 49:[39, 55, 45], Operations: ['31+14=45'] Exploring Operation: 39+55=94, Resulting Numbers: [45, 94] Generated Node #3: [45, 94] from Operation: 39+55=94 Current State: 49:[45, 94], Operations: ['31+14=45', '39+55=94'] Exploring Operation: 94-45=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 51, 47, 70, 5 ]
50
[ "51-47=4", "5*4=20", "70-20=50" ]
Current State: 50:[51, 47, 70, 5], Operations: [] Exploring Operation: 51-47=4, Resulting Numbers: [70, 5, 4] Generated Node #2: [70, 5, 4] from Operation: 51-47=4 Current State: 50:[70, 5, 4], Operations: ['51-47=4'] Exploring Operation: 5*4=20, Resulting Numbers: [70, 20] Generated Node #3: [70, 20] from Operation: 5*4=20 Current State: 50:[70, 20], Operations: ['51-47=4', '5*4=20'] Exploring Operation: 70-20=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 15, 10, 56, 15 ]
47
[ "15/15=1", "56-10=46", "1+46=47" ]
Current State: 47:[15, 10, 56, 15], Operations: [] Exploring Operation: 15/15=1, Resulting Numbers: [10, 56, 1] Generated Node #2: [10, 56, 1] from Operation: 15/15=1 Current State: 47:[10, 56, 1], Operations: ['15/15=1'] Exploring Operation: 56-10=46, Resulting Numbers: [1, 46] Generated Node #3: [1, 46] from Operation: 56-10=46 Current State: 47:[1, 46], Operations: ['15/15=1', '56-10=46'] Exploring Operation: 1+46=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 35, 76, 73, 43 ]
94
[ "76-73=3", "43*3=129", "129-35=94" ]
Current State: 94:[35, 76, 73, 43], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [35, 43, 3] Generated Node #2: [35, 43, 3] from Operation: 76-73=3 Current State: 94:[35, 43, 3], Operations: ['76-73=3'] Exploring Operation: 43*3=129, Resulting Numbers: [35, 129] Generated Node #3: [35, 129] from Operation: 43*3=129 Current State: 94:[35, 129], Operations: ['76-73=3', '43*3=129'] Exploring Operation: 129-35=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 69, 5, 88, 3 ]
81
[ "69*5=345", "88*3=264", "345-264=81" ]
Current State: 81:[69, 5, 88, 3], Operations: [] Exploring Operation: 69*5=345, Resulting Numbers: [88, 3, 345] Generated Node #2: [88, 3, 345] from Operation: 69*5=345 Current State: 81:[88, 3, 345], Operations: ['69*5=345'] Exploring Operation: 88*3=264, Resulting Numbers: [345, 264] Generated Node #3: [345, 264] from Operation: 88*3=264 Current State: 81:[345, 264], Operations: ['69*5=345', '88*3=264'] Exploring Operation: 345-264=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 74, 43, 3, 4 ]
50
[ "74*3=222", "43*4=172", "222-172=50" ]
Current State: 50:[74, 43, 3, 4], Operations: [] Exploring Operation: 74*3=222, Resulting Numbers: [43, 4, 222] Generated Node #2: [43, 4, 222] from Operation: 74*3=222 Current State: 50:[43, 4, 222], Operations: ['74*3=222'] Exploring Operation: 43*4=172, Resulting Numbers: [222, 172] Generated Node #3: [222, 172] from Operation: 43*4=172 Current State: 50:[222, 172], Operations: ['74*3=222', '43*4=172'] Exploring Operation: 222-172=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 36, 18, 98, 47 ]
96
[ "36/18=2", "98/2=49", "47+49=96" ]
Current State: 96:[36, 18, 98, 47], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [98, 47, 2] Generated Node #2: [98, 47, 2] from Operation: 36/18=2 Current State: 96:[98, 47, 2], Operations: ['36/18=2'] Exploring Operation: 98/2=49, Resulting Numbers: [47, 49] Generated Node #3: [47, 49] from Operation: 98/2=49 Current State: 96:[47, 49], Operations: ['36/18=2', '98/2=49'] Exploring Operation: 47+49=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 83, 38, 13, 75 ]
66
[ "83-75=8", "13*8=104", "104-38=66" ]
Current State: 66:[83, 38, 13, 75], Operations: [] Exploring Operation: 83-75=8, Resulting Numbers: [38, 13, 8] Generated Node #2: [38, 13, 8] from Operation: 83-75=8 Current State: 66:[38, 13, 8], Operations: ['83-75=8'] Exploring Operation: 13*8=104, Resulting Numbers: [38, 104] Generated Node #3: [38, 104] from Operation: 13*8=104 Current State: 66:[38, 104], Operations: ['83-75=8', '13*8=104'] Exploring Operation: 104-38=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 63, 50, 35, 33 ]
21
[ "63-33=30", "35*30=1050", "1050/50=21" ]
Current State: 21:[63, 50, 35, 33], Operations: [] Exploring Operation: 63-33=30, Resulting Numbers: [50, 35, 30] Generated Node #2: [50, 35, 30] from Operation: 63-33=30 Current State: 21:[50, 35, 30], Operations: ['63-33=30'] Exploring Operation: 35*30=1050, Resulting Numbers: [50, 1050] Generated Node #3: [50, 1050] from Operation: 35*30=1050 Current State: 21:[50, 1050], Operations: ['63-33=30', '35*30=1050'] Exploring Operation: 1050/50=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 68, 66, 6, 75 ]
53
[ "68+66=134", "6+75=81", "134-81=53" ]
Current State: 53:[68, 66, 6, 75], Operations: [] Exploring Operation: 68+66=134, Resulting Numbers: [6, 75, 134] Generated Node #2: [6, 75, 134] from Operation: 68+66=134 Current State: 53:[6, 75, 134], Operations: ['68+66=134'] Exploring Operation: 6+75=81, Resulting Numbers: [134, 81] Generated Node #3: [134, 81] from Operation: 6+75=81 Current State: 53:[134, 81], Operations: ['68+66=134', '6+75=81'] Exploring Operation: 134-81=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 29, 27, 43, 9 ]
17
[ "29-27=2", "43-9=34", "34/2=17" ]
Current State: 17:[29, 27, 43, 9], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [43, 9, 2] Generated Node #2: [43, 9, 2] from Operation: 29-27=2 Current State: 17:[43, 9, 2], Operations: ['29-27=2'] Exploring Operation: 43-9=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 43-9=34 Current State: 17:[2, 34], Operations: ['29-27=2', '43-9=34'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 25, 17, 53, 12 ]
48
[ "17-12=5", "25/5=5", "53-5=48" ]
Current State: 48:[25, 17, 53, 12], Operations: [] Exploring Operation: 17-12=5, Resulting Numbers: [25, 53, 5] Generated Node #2: [25, 53, 5] from Operation: 17-12=5 Current State: 48:[25, 53, 5], Operations: ['17-12=5'] Exploring Operation: 25/5=5, Resulting Numbers: [53, 5] Generated Node #3: [53, 5] from Operation: 25/5=5 Current State: 48:[53, 5], Operations: ['17-12=5', '25/5=5'] Exploring Operation: 53-5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 86, 12, 80, 3 ]
75
[ "86-80=6", "12*6=72", "3+72=75" ]
Current State: 75:[86, 12, 80, 3], Operations: [] Exploring Operation: 86-80=6, Resulting Numbers: [12, 3, 6] Generated Node #2: [12, 3, 6] from Operation: 86-80=6 Current State: 75:[12, 3, 6], Operations: ['86-80=6'] Exploring Operation: 12*6=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 12*6=72 Current State: 75:[3, 72], Operations: ['86-80=6', '12*6=72'] Exploring Operation: 3+72=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 91, 6, 96, 96 ]
95
[ "91+6=97", "96+96=192", "192-97=95" ]
Current State: 95:[91, 6, 96, 96], Operations: [] Exploring Operation: 91+6=97, Resulting Numbers: [96, 96, 97] Generated Node #2: [96, 96, 97] from Operation: 91+6=97 Current State: 95:[96, 96, 97], Operations: ['91+6=97'] Exploring Operation: 96+96=192, Resulting Numbers: [97, 192] Generated Node #3: [97, 192] from Operation: 96+96=192 Current State: 95:[97, 192], Operations: ['91+6=97', '96+96=192'] Exploring Operation: 192-97=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 6, 48, 76, 48 ]
20
[ "48/6=8", "76-48=28", "28-8=20" ]
Current State: 20:[6, 48, 76, 48], Operations: [] Exploring Operation: 48/6=8, Resulting Numbers: [76, 8] Generated Node #2: [76, 8] from Operation: 48/6=8 Current State: 20:[76, 8], Operations: ['48/6=8'] Exploring Operation: 76-48=28, Resulting Numbers: [8, 28] Generated Node #3: [8, 28] from Operation: 76-48=28 Current State: 20:[8, 28], Operations: ['48/6=8', '76-48=28'] Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 61, 35, 93, 1 ]
67
[ "61-35=26", "93*1=93", "93-26=67" ]
Current State: 67:[61, 35, 93, 1], Operations: [] Exploring Operation: 61-35=26, Resulting Numbers: [93, 1, 26] Generated Node #2: [93, 1, 26] from Operation: 61-35=26 Current State: 67:[93, 1, 26], Operations: ['61-35=26'] Exploring Operation: 93*1=93, Resulting Numbers: [26, 93] Generated Node #3: [26, 93] from Operation: 93*1=93 Current State: 67:[26, 93], Operations: ['61-35=26', '93*1=93'] Exploring Operation: 93-26=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 14, 86, 37, 90 ]
93
[ "90-86=4", "14*4=56", "37+56=93" ]
Current State: 93:[14, 86, 37, 90], Operations: [] Exploring Operation: 90-86=4, Resulting Numbers: [14, 37, 4] Generated Node #2: [14, 37, 4] from Operation: 90-86=4 Current State: 93:[14, 37, 4], Operations: ['90-86=4'] Exploring Operation: 14*4=56, Resulting Numbers: [37, 56] Generated Node #3: [37, 56] from Operation: 14*4=56 Current State: 93:[37, 56], Operations: ['90-86=4', '14*4=56'] Exploring Operation: 37+56=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 15, 41, 20, 5 ]
63
[ "15/5=3", "41-20=21", "3*21=63" ]
Current State: 63:[15, 41, 20, 5], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [41, 20, 3] Generated Node #2: [41, 20, 3] from Operation: 15/5=3 Current State: 63:[41, 20, 3], Operations: ['15/5=3'] Exploring Operation: 41-20=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 41-20=21 Current State: 63:[3, 21], Operations: ['15/5=3', '41-20=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 15, 25, 75, 21 ]
75
[ "21-15=6", "25*6=150", "150-75=75" ]
Current State: 75:[15, 25, 75, 21], Operations: [] Exploring Operation: 21-15=6, Resulting Numbers: [25, 75, 6] Generated Node #2: [25, 75, 6] from Operation: 21-15=6 Current State: 75:[25, 75, 6], Operations: ['21-15=6'] Exploring Operation: 25*6=150, Resulting Numbers: [75, 150] Generated Node #3: [75, 150] from Operation: 25*6=150 Current State: 75:[75, 150], Operations: ['21-15=6', '25*6=150'] Exploring Operation: 150-75=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 33, 88, 7, 39 ]
75
[ "33+88=121", "7+39=46", "121-46=75" ]
Current State: 75:[33, 88, 7, 39], Operations: [] Exploring Operation: 33+88=121, Resulting Numbers: [7, 39, 121] Generated Node #2: [7, 39, 121] from Operation: 33+88=121 Current State: 75:[7, 39, 121], Operations: ['33+88=121'] Exploring Operation: 7+39=46, Resulting Numbers: [121, 46] Generated Node #3: [121, 46] from Operation: 7+39=46 Current State: 75:[121, 46], Operations: ['33+88=121', '7+39=46'] Exploring Operation: 121-46=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 89, 68, 34, 72 ]
19
[ "89-72=17", "68/34=2", "17+2=19" ]
Current State: 19:[89, 68, 34, 72], Operations: [] Exploring Operation: 89-72=17, Resulting Numbers: [68, 34, 17] Generated Node #2: [68, 34, 17] from Operation: 89-72=17 Current State: 19:[68, 34, 17], Operations: ['89-72=17'] Exploring Operation: 68/34=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 68/34=2 Current State: 19:[17, 2], Operations: ['89-72=17', '68/34=2'] Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 46, 62, 64, 75 ]
79
[ "62-46=16", "64/16=4", "75+4=79" ]
Current State: 79:[46, 62, 64, 75], Operations: [] Exploring Operation: 62-46=16, Resulting Numbers: [64, 75, 16] Generated Node #2: [64, 75, 16] from Operation: 62-46=16 Current State: 79:[64, 75, 16], Operations: ['62-46=16'] Exploring Operation: 64/16=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 64/16=4 Current State: 79:[75, 4], Operations: ['62-46=16', '64/16=4'] Exploring Operation: 75+4=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 7, 31, 48, 3 ]
40
[ "31-7=24", "48/3=16", "24+16=40" ]
Current State: 40:[7, 31, 48, 3], Operations: [] Exploring Operation: 31-7=24, Resulting Numbers: [48, 3, 24] Generated Node #2: [48, 3, 24] from Operation: 31-7=24 Current State: 40:[48, 3, 24], Operations: ['31-7=24'] Exploring Operation: 48/3=16, Resulting Numbers: [24, 16] Generated Node #3: [24, 16] from Operation: 48/3=16 Current State: 40:[24, 16], Operations: ['31-7=24', '48/3=16'] Exploring Operation: 24+16=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 16, 17, 8, 84 ]
75
[ "17-16=1", "84-8=76", "76-1=75" ]
Current State: 75:[16, 17, 8, 84], Operations: [] Exploring Operation: 17-16=1, Resulting Numbers: [8, 84, 1] Generated Node #2: [8, 84, 1] from Operation: 17-16=1 Current State: 75:[8, 84, 1], Operations: ['17-16=1'] Exploring Operation: 84-8=76, Resulting Numbers: [1, 76] Generated Node #3: [1, 76] from Operation: 84-8=76 Current State: 75:[1, 76], Operations: ['17-16=1', '84-8=76'] Exploring Operation: 76-1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 22, 53, 49, 71 ]
89
[ "53-22=31", "49+71=120", "120-31=89" ]
Current State: 89:[22, 53, 49, 71], Operations: [] Exploring Operation: 53-22=31, Resulting Numbers: [49, 71, 31] Generated Node #2: [49, 71, 31] from Operation: 53-22=31 Current State: 89:[49, 71, 31], Operations: ['53-22=31'] Exploring Operation: 49+71=120, Resulting Numbers: [31, 120] Generated Node #3: [31, 120] from Operation: 49+71=120 Current State: 89:[31, 120], Operations: ['53-22=31', '49+71=120'] Exploring Operation: 120-31=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 92, 43, 19, 90 ]
64
[ "92+43=135", "90-19=71", "135-71=64" ]
Current State: 64:[92, 43, 19, 90], Operations: [] Exploring Operation: 92+43=135, Resulting Numbers: [19, 90, 135] Generated Node #2: [19, 90, 135] from Operation: 92+43=135 Current State: 64:[19, 90, 135], Operations: ['92+43=135'] Exploring Operation: 90-19=71, Resulting Numbers: [135, 71] Generated Node #3: [135, 71] from Operation: 90-19=71 Current State: 64:[135, 71], Operations: ['92+43=135', '90-19=71'] Exploring Operation: 135-71=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 71, 24, 8, 89 ]
15
[ "89-71=18", "24/8=3", "18-3=15" ]
Current State: 15:[71, 24, 8, 89], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [24, 8, 18] Generated Node #2: [24, 8, 18] from Operation: 89-71=18 Current State: 15:[24, 8, 18], Operations: ['89-71=18'] Exploring Operation: 24/8=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 24/8=3 Current State: 15:[18, 3], Operations: ['89-71=18', '24/8=3'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 58, 79, 77, 49 ]
11
[ "58+79=137", "77+49=126", "137-126=11" ]
Current State: 11:[58, 79, 77, 49], Operations: [] Exploring Operation: 58+79=137, Resulting Numbers: [77, 49, 137] Generated Node #2: [77, 49, 137] from Operation: 58+79=137 Current State: 11:[77, 49, 137], Operations: ['58+79=137'] Exploring Operation: 77+49=126, Resulting Numbers: [137, 126] Generated Node #3: [137, 126] from Operation: 77+49=126 Current State: 11:[137, 126], Operations: ['58+79=137', '77+49=126'] Exploring Operation: 137-126=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 51, 63, 59, 77 ]
30
[ "63-51=12", "77-59=18", "12+18=30" ]
Current State: 30:[51, 63, 59, 77], Operations: [] Exploring Operation: 63-51=12, Resulting Numbers: [59, 77, 12] Generated Node #2: [59, 77, 12] from Operation: 63-51=12 Current State: 30:[59, 77, 12], Operations: ['63-51=12'] Exploring Operation: 77-59=18, Resulting Numbers: [12, 18] Generated Node #3: [12, 18] from Operation: 77-59=18 Current State: 30:[12, 18], Operations: ['63-51=12', '77-59=18'] Exploring Operation: 12+18=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 79, 84, 93, 72 ]
78
[ "93-79=14", "84/14=6", "72+6=78" ]
Current State: 78:[79, 84, 93, 72], Operations: [] Exploring Operation: 93-79=14, Resulting Numbers: [84, 72, 14] Generated Node #2: [84, 72, 14] from Operation: 93-79=14 Current State: 78:[84, 72, 14], Operations: ['93-79=14'] Exploring Operation: 84/14=6, Resulting Numbers: [72, 6] Generated Node #3: [72, 6] from Operation: 84/14=6 Current State: 78:[72, 6], Operations: ['93-79=14', '84/14=6'] Exploring Operation: 72+6=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 43, 53, 65, 72 ]
41
[ "43+53=96", "65+72=137", "137-96=41" ]
Current State: 41:[43, 53, 65, 72], Operations: [] Exploring Operation: 43+53=96, Resulting Numbers: [65, 72, 96] Generated Node #2: [65, 72, 96] from Operation: 43+53=96 Current State: 41:[65, 72, 96], Operations: ['43+53=96'] Exploring Operation: 65+72=137, Resulting Numbers: [96, 137] Generated Node #3: [96, 137] from Operation: 65+72=137 Current State: 41:[96, 137], Operations: ['43+53=96', '65+72=137'] Exploring Operation: 137-96=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 12, 25, 17, 70 ]
20
[ "12*70=840", "25+17=42", "840/42=20" ]
Current State: 20:[12, 25, 17, 70], Operations: [] Exploring Operation: 12*70=840, Resulting Numbers: [25, 17, 840] Generated Node #2: [25, 17, 840] from Operation: 12*70=840 Current State: 20:[25, 17, 840], Operations: ['12*70=840'] Exploring Operation: 25+17=42, Resulting Numbers: [840, 42] Generated Node #3: [840, 42] from Operation: 25+17=42 Current State: 20:[840, 42], Operations: ['12*70=840', '25+17=42'] Exploring Operation: 840/42=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 35, 7, 47, 59 ]
30
[ "35+7=42", "59-47=12", "42-12=30" ]
Current State: 30:[35, 7, 47, 59], Operations: [] Exploring Operation: 35+7=42, Resulting Numbers: [47, 59, 42] Generated Node #2: [47, 59, 42] from Operation: 35+7=42 Current State: 30:[47, 59, 42], Operations: ['35+7=42'] Exploring Operation: 59-47=12, Resulting Numbers: [42, 12] Generated Node #3: [42, 12] from Operation: 59-47=12 Current State: 30:[42, 12], Operations: ['35+7=42', '59-47=12'] Exploring Operation: 42-12=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 9, 64, 72, 1 ]
64
[ "9-1=8", "72-64=8", "8*8=64" ]
Current State: 64:[9, 64, 72, 1], Operations: [] Exploring Operation: 9-1=8, Resulting Numbers: [64, 72, 8] Generated Node #2: [64, 72, 8] from Operation: 9-1=8 Current State: 64:[64, 72, 8], Operations: ['9-1=8'] Exploring Operation: 72-64=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 72-64=8 Current State: 64:[8, 8], Operations: ['9-1=8', '72-64=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 60, 31, 20, 47 ]
40
[ "60*31=1860", "20+1860=1880", "1880/47=40" ]
Current State: 40:[60, 31, 20, 47], Operations: [] Exploring Operation: 60*31=1860, Resulting Numbers: [20, 47, 1860] Generated Node #2: [20, 47, 1860] from Operation: 60*31=1860 Current State: 40:[20, 47, 1860], Operations: ['60*31=1860'] Exploring Operation: 20+1860=1880, Resulting Numbers: [47, 1880] Generated Node #3: [47, 1880] from Operation: 20+1860=1880 Current State: 40:[47, 1880], Operations: ['60*31=1860', '20+1860=1880'] Exploring Operation: 1880/47=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 26, 82, 67, 26 ]
16
[ "26/26=1", "82-67=15", "1+15=16" ]
Current State: 16:[26, 82, 67, 26], Operations: [] Exploring Operation: 26/26=1, Resulting Numbers: [82, 67, 1] Generated Node #2: [82, 67, 1] from Operation: 26/26=1 Current State: 16:[82, 67, 1], Operations: ['26/26=1'] Exploring Operation: 82-67=15, Resulting Numbers: [1, 15] Generated Node #3: [1, 15] from Operation: 82-67=15 Current State: 16:[1, 15], Operations: ['26/26=1', '82-67=15'] Exploring Operation: 1+15=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 6, 79, 1, 58 ]
14
[ "79-6=73", "1+58=59", "73-59=14" ]
Current State: 14:[6, 79, 1, 58], Operations: [] Exploring Operation: 79-6=73, Resulting Numbers: [1, 58, 73] Generated Node #2: [1, 58, 73] from Operation: 79-6=73 Current State: 14:[1, 58, 73], Operations: ['79-6=73'] Exploring Operation: 1+58=59, Resulting Numbers: [73, 59] Generated Node #3: [73, 59] from Operation: 1+58=59 Current State: 14:[73, 59], Operations: ['79-6=73', '1+58=59'] Exploring Operation: 73-59=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 27, 82, 6, 63 ]
87
[ "82-63=19", "6*19=114", "114-27=87" ]
Current State: 87:[27, 82, 6, 63], Operations: [] Exploring Operation: 82-63=19, Resulting Numbers: [27, 6, 19] Generated Node #2: [27, 6, 19] from Operation: 82-63=19 Current State: 87:[27, 6, 19], Operations: ['82-63=19'] Exploring Operation: 6*19=114, Resulting Numbers: [27, 114] Generated Node #3: [27, 114] from Operation: 6*19=114 Current State: 87:[27, 114], Operations: ['82-63=19', '6*19=114'] Exploring Operation: 114-27=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 4, 2, 1, 49 ]
91
[ "49-4=45", "2*45=90", "1+90=91" ]
Current State: 91:[4, 2, 1, 49], Operations: [] Exploring Operation: 49-4=45, Resulting Numbers: [2, 1, 45] Generated Node #2: [2, 1, 45] from Operation: 49-4=45 Current State: 91:[2, 1, 45], Operations: ['49-4=45'] Exploring Operation: 2*45=90, Resulting Numbers: [1, 90] Generated Node #3: [1, 90] from Operation: 2*45=90 Current State: 91:[1, 90], Operations: ['49-4=45', '2*45=90'] Exploring Operation: 1+90=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 61, 96, 87, 87 ]
34
[ "96-61=35", "87/87=1", "35-1=34" ]
Current State: 34:[61, 96, 87, 87], Operations: [] Exploring Operation: 96-61=35, Resulting Numbers: [87, 87, 35] Generated Node #2: [87, 87, 35] from Operation: 96-61=35 Current State: 34:[87, 87, 35], Operations: ['96-61=35'] Exploring Operation: 87/87=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 87/87=1 Current State: 34:[35, 1], Operations: ['96-61=35', '87/87=1'] Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 31, 14, 79, 20 ]
75
[ "31-20=11", "14*11=154", "154-79=75" ]
Current State: 75:[31, 14, 79, 20], Operations: [] Exploring Operation: 31-20=11, Resulting Numbers: [14, 79, 11] Generated Node #2: [14, 79, 11] from Operation: 31-20=11 Current State: 75:[14, 79, 11], Operations: ['31-20=11'] Exploring Operation: 14*11=154, Resulting Numbers: [79, 154] Generated Node #3: [79, 154] from Operation: 14*11=154 Current State: 75:[79, 154], Operations: ['31-20=11', '14*11=154'] Exploring Operation: 154-79=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 4, 10, 3, 21 ]
30
[ "10-4=6", "3+21=24", "6+24=30" ]
Current State: 30:[4, 10, 3, 21], Operations: [] Exploring Operation: 10-4=6, Resulting Numbers: [3, 21, 6] Generated Node #2: [3, 21, 6] from Operation: 10-4=6 Current State: 30:[3, 21, 6], Operations: ['10-4=6'] Exploring Operation: 3+21=24, Resulting Numbers: [6, 24] Generated Node #3: [6, 24] from Operation: 3+21=24 Current State: 30:[6, 24], Operations: ['10-4=6', '3+21=24'] Exploring Operation: 6+24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 30, 54, 14, 2 ]
72
[ "30+54=84", "14-2=12", "84-12=72" ]
Current State: 72:[30, 54, 14, 2], Operations: [] Exploring Operation: 30+54=84, Resulting Numbers: [14, 2, 84] Generated Node #2: [14, 2, 84] from Operation: 30+54=84 Current State: 72:[14, 2, 84], Operations: ['30+54=84'] Exploring Operation: 14-2=12, Resulting Numbers: [84, 12] Generated Node #3: [84, 12] from Operation: 14-2=12 Current State: 72:[84, 12], Operations: ['30+54=84', '14-2=12'] Exploring Operation: 84-12=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 49, 27, 68, 19 ]
26
[ "68-49=19", "19/19=1", "27-1=26" ]
Current State: 26:[49, 27, 68, 19], Operations: [] Exploring Operation: 68-49=19, Resulting Numbers: [27, 19, 19] Generated Node #2: [27, 19, 19] from Operation: 68-49=19 Current State: 26:[27, 19, 19], Operations: ['68-49=19'] Exploring Operation: 19/19=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 19/19=1 Current State: 26:[27, 1], Operations: ['68-49=19', '19/19=1'] Exploring Operation: 27-1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 3, 82, 64, 63 ]
57
[ "82-64=18", "18/3=6", "63-6=57" ]
Current State: 57:[3, 82, 64, 63], Operations: [] Exploring Operation: 82-64=18, Resulting Numbers: [3, 63, 18] Generated Node #2: [3, 63, 18] from Operation: 82-64=18 Current State: 57:[3, 63, 18], Operations: ['82-64=18'] Exploring Operation: 18/3=6, Resulting Numbers: [63, 6] Generated Node #3: [63, 6] from Operation: 18/3=6 Current State: 57:[63, 6], Operations: ['82-64=18', '18/3=6'] Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 79, 43, 41, 6 ]
87
[ "79+43=122", "41-6=35", "122-35=87" ]
Current State: 87:[79, 43, 41, 6], Operations: [] Exploring Operation: 79+43=122, Resulting Numbers: [41, 6, 122] Generated Node #2: [41, 6, 122] from Operation: 79+43=122 Current State: 87:[41, 6, 122], Operations: ['79+43=122'] Exploring Operation: 41-6=35, Resulting Numbers: [122, 35] Generated Node #3: [122, 35] from Operation: 41-6=35 Current State: 87:[122, 35], Operations: ['79+43=122', '41-6=35'] Exploring Operation: 122-35=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 2, 66, 36, 40 ]
77
[ "2+40=42", "66*42=2772", "2772/36=77" ]
Current State: 77:[2, 66, 36, 40], Operations: [] Exploring Operation: 2+40=42, Resulting Numbers: [66, 36, 42] Generated Node #2: [66, 36, 42] from Operation: 2+40=42 Current State: 77:[66, 36, 42], Operations: ['2+40=42'] Exploring Operation: 66*42=2772, Resulting Numbers: [36, 2772] Generated Node #3: [36, 2772] from Operation: 66*42=2772 Current State: 77:[36, 2772], Operations: ['2+40=42', '66*42=2772'] Exploring Operation: 2772/36=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 39, 42, 78, 2 ]
42
[ "39+42=81", "78/2=39", "81-39=42" ]
Current State: 42:[39, 42, 78, 2], Operations: [] Exploring Operation: 39+42=81, Resulting Numbers: [78, 2, 81] Generated Node #2: [78, 2, 81] from Operation: 39+42=81 Current State: 42:[78, 2, 81], Operations: ['39+42=81'] Exploring Operation: 78/2=39, Resulting Numbers: [81, 39] Generated Node #3: [81, 39] from Operation: 78/2=39 Current State: 42:[81, 39], Operations: ['39+42=81', '78/2=39'] Exploring Operation: 81-39=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 70, 55, 70, 80 ]
25
[ "70+55=125", "70+80=150", "150-125=25" ]
Current State: 25:[70, 55, 70, 80], Operations: [] Exploring Operation: 70+55=125, Resulting Numbers: [80, 125] Generated Node #2: [80, 125] from Operation: 70+55=125 Current State: 25:[80, 125], Operations: ['70+55=125'] Exploring Operation: 70+80=150, Resulting Numbers: [125, 150] Generated Node #3: [125, 150] from Operation: 70+80=150 Current State: 25:[125, 150], Operations: ['70+55=125', '70+80=150'] Exploring Operation: 150-125=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 67, 56, 3, 13 ]
90
[ "56+13=69", "69/3=23", "67+23=90" ]
Current State: 90:[67, 56, 3, 13], Operations: [] Exploring Operation: 56+13=69, Resulting Numbers: [67, 3, 69] Generated Node #2: [67, 3, 69] from Operation: 56+13=69 Current State: 90:[67, 3, 69], Operations: ['56+13=69'] Exploring Operation: 69/3=23, Resulting Numbers: [67, 23] Generated Node #3: [67, 23] from Operation: 69/3=23 Current State: 90:[67, 23], Operations: ['56+13=69', '69/3=23'] Exploring Operation: 67+23=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 33, 33, 29, 34 ]
64
[ "33/33=1", "29+34=63", "1+63=64" ]
Current State: 64:[33, 33, 29, 34], Operations: [] Exploring Operation: 33/33=1, Resulting Numbers: [29, 34, 1] Generated Node #2: [29, 34, 1] from Operation: 33/33=1 Current State: 64:[29, 34, 1], Operations: ['33/33=1'] Exploring Operation: 29+34=63, Resulting Numbers: [1, 63] Generated Node #3: [1, 63] from Operation: 29+34=63 Current State: 64:[1, 63], Operations: ['33/33=1', '29+34=63'] Exploring Operation: 1+63=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 85, 55, 43, 76 ]
77
[ "43+76=119", "55*119=6545", "6545/85=77" ]
Current State: 77:[85, 55, 43, 76], Operations: [] Exploring Operation: 43+76=119, Resulting Numbers: [85, 55, 119] Generated Node #2: [85, 55, 119] from Operation: 43+76=119 Current State: 77:[85, 55, 119], Operations: ['43+76=119'] Exploring Operation: 55*119=6545, Resulting Numbers: [85, 6545] Generated Node #3: [85, 6545] from Operation: 55*119=6545 Current State: 77:[85, 6545], Operations: ['43+76=119', '55*119=6545'] Exploring Operation: 6545/85=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 67, 76, 94, 48 ]
37
[ "76-67=9", "94-48=46", "46-9=37" ]
Current State: 37:[67, 76, 94, 48], Operations: [] Exploring Operation: 76-67=9, Resulting Numbers: [94, 48, 9] Generated Node #2: [94, 48, 9] from Operation: 76-67=9 Current State: 37:[94, 48, 9], Operations: ['76-67=9'] Exploring Operation: 94-48=46, Resulting Numbers: [9, 46] Generated Node #3: [9, 46] from Operation: 94-48=46 Current State: 37:[9, 46], Operations: ['76-67=9', '94-48=46'] Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 62, 56, 42, 84 ]
68
[ "62*84=5208", "5208/42=124", "124-56=68" ]
Current State: 68:[62, 56, 42, 84], Operations: [] Exploring Operation: 62*84=5208, Resulting Numbers: [56, 42, 5208] Generated Node #2: [56, 42, 5208] from Operation: 62*84=5208 Current State: 68:[56, 42, 5208], Operations: ['62*84=5208'] Exploring Operation: 5208/42=124, Resulting Numbers: [56, 124] Generated Node #3: [56, 124] from Operation: 5208/42=124 Current State: 68:[56, 124], Operations: ['62*84=5208', '5208/42=124'] Exploring Operation: 124-56=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 13, 28, 92, 90 ]
86
[ "28-13=15", "90/15=6", "92-6=86" ]
Current State: 86:[13, 28, 92, 90], Operations: [] Exploring Operation: 28-13=15, Resulting Numbers: [92, 90, 15] Generated Node #2: [92, 90, 15] from Operation: 28-13=15 Current State: 86:[92, 90, 15], Operations: ['28-13=15'] Exploring Operation: 90/15=6, Resulting Numbers: [92, 6] Generated Node #3: [92, 6] from Operation: 90/15=6 Current State: 86:[92, 6], Operations: ['28-13=15', '90/15=6'] Exploring Operation: 92-6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 48, 82, 62, 94 ]
26
[ "48+82=130", "62+94=156", "156-130=26" ]
Current State: 26:[48, 82, 62, 94], Operations: [] Exploring Operation: 48+82=130, Resulting Numbers: [62, 94, 130] Generated Node #2: [62, 94, 130] from Operation: 48+82=130 Current State: 26:[62, 94, 130], Operations: ['48+82=130'] Exploring Operation: 62+94=156, Resulting Numbers: [130, 156] Generated Node #3: [130, 156] from Operation: 62+94=156 Current State: 26:[130, 156], Operations: ['48+82=130', '62+94=156'] Exploring Operation: 156-130=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 14, 82, 51, 80 ]
60
[ "82-14=68", "51*80=4080", "4080/68=60" ]
Current State: 60:[14, 82, 51, 80], Operations: [] Exploring Operation: 82-14=68, Resulting Numbers: [51, 80, 68] Generated Node #2: [51, 80, 68] from Operation: 82-14=68 Current State: 60:[51, 80, 68], Operations: ['82-14=68'] Exploring Operation: 51*80=4080, Resulting Numbers: [68, 4080] Generated Node #3: [68, 4080] from Operation: 51*80=4080 Current State: 60:[68, 4080], Operations: ['82-14=68', '51*80=4080'] Exploring Operation: 4080/68=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 29, 72, 33, 90 ]
22
[ "29+72=101", "33+90=123", "123-101=22" ]
Current State: 22:[29, 72, 33, 90], Operations: [] Exploring Operation: 29+72=101, Resulting Numbers: [33, 90, 101] Generated Node #2: [33, 90, 101] from Operation: 29+72=101 Current State: 22:[33, 90, 101], Operations: ['29+72=101'] Exploring Operation: 33+90=123, Resulting Numbers: [101, 123] Generated Node #3: [101, 123] from Operation: 33+90=123 Current State: 22:[101, 123], Operations: ['29+72=101', '33+90=123'] Exploring Operation: 123-101=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 61, 40, 75, 71 ]
84
[ "61-40=21", "75-71=4", "21*4=84" ]
Current State: 84:[61, 40, 75, 71], Operations: [] Exploring Operation: 61-40=21, Resulting Numbers: [75, 71, 21] Generated Node #2: [75, 71, 21] from Operation: 61-40=21 Current State: 84:[75, 71, 21], Operations: ['61-40=21'] Exploring Operation: 75-71=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 75-71=4 Current State: 84:[21, 4], Operations: ['61-40=21', '75-71=4'] Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 43, 8, 8, 39 ]
39
[ "8-8=0", "43*0=0", "39+0=39" ]
Current State: 39:[43, 8, 8, 39], Operations: [] Exploring Operation: 8-8=0, Resulting Numbers: [43, 39, 0] Generated Node #2: [43, 39, 0] from Operation: 8-8=0 Current State: 39:[43, 39, 0], Operations: ['8-8=0'] Exploring Operation: 43*0=0, Resulting Numbers: [39, 0] Generated Node #3: [39, 0] from Operation: 43*0=0 Current State: 39:[39, 0], Operations: ['8-8=0', '43*0=0'] Exploring Operation: 39+0=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 4, 49, 31, 78 ]
64
[ "49-4=45", "31+78=109", "109-45=64" ]
Current State: 64:[4, 49, 31, 78], Operations: [] Exploring Operation: 49-4=45, Resulting Numbers: [31, 78, 45] Generated Node #2: [31, 78, 45] from Operation: 49-4=45 Current State: 64:[31, 78, 45], Operations: ['49-4=45'] Exploring Operation: 31+78=109, Resulting Numbers: [45, 109] Generated Node #3: [45, 109] from Operation: 31+78=109 Current State: 64:[45, 109], Operations: ['49-4=45', '31+78=109'] Exploring Operation: 109-45=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 43, 60, 3, 62 ]
25
[ "43+62=105", "105/3=35", "60-35=25" ]
Current State: 25:[43, 60, 3, 62], Operations: [] Exploring Operation: 43+62=105, Resulting Numbers: [60, 3, 105] Generated Node #2: [60, 3, 105] from Operation: 43+62=105 Current State: 25:[60, 3, 105], Operations: ['43+62=105'] Exploring Operation: 105/3=35, Resulting Numbers: [60, 35] Generated Node #3: [60, 35] from Operation: 105/3=35 Current State: 25:[60, 35], Operations: ['43+62=105', '105/3=35'] Exploring Operation: 60-35=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 46, 16, 76, 44 ]
30
[ "46+16=62", "76-44=32", "62-32=30" ]
Current State: 30:[46, 16, 76, 44], Operations: [] Exploring Operation: 46+16=62, Resulting Numbers: [76, 44, 62] Generated Node #2: [76, 44, 62] from Operation: 46+16=62 Current State: 30:[76, 44, 62], Operations: ['46+16=62'] Exploring Operation: 76-44=32, Resulting Numbers: [62, 32] Generated Node #3: [62, 32] from Operation: 76-44=32 Current State: 30:[62, 32], Operations: ['46+16=62', '76-44=32'] Exploring Operation: 62-32=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 6, 76, 24, 72 ]
72
[ "24-6=18", "76-72=4", "18*4=72" ]
Current State: 72:[6, 76, 24, 72], Operations: [] Exploring Operation: 24-6=18, Resulting Numbers: [76, 72, 18] Generated Node #2: [76, 72, 18] from Operation: 24-6=18 Current State: 72:[76, 72, 18], Operations: ['24-6=18'] Exploring Operation: 76-72=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 76-72=4 Current State: 72:[18, 4], Operations: ['24-6=18', '76-72=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 60, 86, 71, 65 ]
96
[ "71-65=6", "60/6=10", "86+10=96" ]
Current State: 96:[60, 86, 71, 65], Operations: [] Exploring Operation: 71-65=6, Resulting Numbers: [60, 86, 6] Generated Node #2: [60, 86, 6] from Operation: 71-65=6 Current State: 96:[60, 86, 6], Operations: ['71-65=6'] Exploring Operation: 60/6=10, Resulting Numbers: [86, 10] Generated Node #3: [86, 10] from Operation: 60/6=10 Current State: 96:[86, 10], Operations: ['71-65=6', '60/6=10'] Exploring Operation: 86+10=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 55, 28, 99, 67 ]
59
[ "55-28=27", "99-67=32", "27+32=59" ]
Current State: 59:[55, 28, 99, 67], Operations: [] Exploring Operation: 55-28=27, Resulting Numbers: [99, 67, 27] Generated Node #2: [99, 67, 27] from Operation: 55-28=27 Current State: 59:[99, 67, 27], Operations: ['55-28=27'] Exploring Operation: 99-67=32, Resulting Numbers: [27, 32] Generated Node #3: [27, 32] from Operation: 99-67=32 Current State: 59:[27, 32], Operations: ['55-28=27', '99-67=32'] Exploring Operation: 27+32=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 43, 17, 82, 10 ]
98
[ "43-17=26", "82-10=72", "26+72=98" ]
Current State: 98:[43, 17, 82, 10], Operations: [] Exploring Operation: 43-17=26, Resulting Numbers: [82, 10, 26] Generated Node #2: [82, 10, 26] from Operation: 43-17=26 Current State: 98:[82, 10, 26], Operations: ['43-17=26'] Exploring Operation: 82-10=72, Resulting Numbers: [26, 72] Generated Node #3: [26, 72] from Operation: 82-10=72 Current State: 98:[26, 72], Operations: ['43-17=26', '82-10=72'] Exploring Operation: 26+72=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 9, 64, 61, 39 ]
16
[ "9+39=48", "64-61=3", "48/3=16" ]
Current State: 16:[9, 64, 61, 39], Operations: [] Exploring Operation: 9+39=48, Resulting Numbers: [64, 61, 48] Generated Node #2: [64, 61, 48] from Operation: 9+39=48 Current State: 16:[64, 61, 48], Operations: ['9+39=48'] Exploring Operation: 64-61=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 64-61=3 Current State: 16:[48, 3], Operations: ['9+39=48', '64-61=3'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 46, 99, 50, 48 ]
74
[ "48-46=2", "50/2=25", "99-25=74" ]
Current State: 74:[46, 99, 50, 48], Operations: [] Exploring Operation: 48-46=2, Resulting Numbers: [99, 50, 2] Generated Node #2: [99, 50, 2] from Operation: 48-46=2 Current State: 74:[99, 50, 2], Operations: ['48-46=2'] Exploring Operation: 50/2=25, Resulting Numbers: [99, 25] Generated Node #3: [99, 25] from Operation: 50/2=25 Current State: 74:[99, 25], Operations: ['48-46=2', '50/2=25'] Exploring Operation: 99-25=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 60, 98, 96, 73 ]
26
[ "73-60=13", "98-96=2", "13*2=26" ]
Current State: 26:[60, 98, 96, 73], Operations: [] Exploring Operation: 73-60=13, Resulting Numbers: [98, 96, 13] Generated Node #2: [98, 96, 13] from Operation: 73-60=13 Current State: 26:[98, 96, 13], Operations: ['73-60=13'] Exploring Operation: 98-96=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 98-96=2 Current State: 26:[13, 2], Operations: ['73-60=13', '98-96=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 54, 78, 85, 94 ]
47
[ "54+78=132", "85+94=179", "179-132=47" ]
Current State: 47:[54, 78, 85, 94], Operations: [] Exploring Operation: 54+78=132, Resulting Numbers: [85, 94, 132] Generated Node #2: [85, 94, 132] from Operation: 54+78=132 Current State: 47:[85, 94, 132], Operations: ['54+78=132'] Exploring Operation: 85+94=179, Resulting Numbers: [132, 179] Generated Node #3: [132, 179] from Operation: 85+94=179 Current State: 47:[132, 179], Operations: ['54+78=132', '85+94=179'] Exploring Operation: 179-132=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 82, 30, 8, 82 ]
23
[ "82/82=1", "30-8=22", "1+22=23" ]
Current State: 23:[82, 30, 8, 82], Operations: [] Exploring Operation: 82/82=1, Resulting Numbers: [30, 8, 1] Generated Node #2: [30, 8, 1] from Operation: 82/82=1 Current State: 23:[30, 8, 1], Operations: ['82/82=1'] Exploring Operation: 30-8=22, Resulting Numbers: [1, 22] Generated Node #3: [1, 22] from Operation: 30-8=22 Current State: 23:[1, 22], Operations: ['82/82=1', '30-8=22'] Exploring Operation: 1+22=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 55, 66, 34, 40 ]
22
[ "55*40=2200", "66+34=100", "2200/100=22" ]
Current State: 22:[55, 66, 34, 40], Operations: [] Exploring Operation: 55*40=2200, Resulting Numbers: [66, 34, 2200] Generated Node #2: [66, 34, 2200] from Operation: 55*40=2200 Current State: 22:[66, 34, 2200], Operations: ['55*40=2200'] Exploring Operation: 66+34=100, Resulting Numbers: [2200, 100] Generated Node #3: [2200, 100] from Operation: 66+34=100 Current State: 22:[2200, 100], Operations: ['55*40=2200', '66+34=100'] Exploring Operation: 2200/100=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 14, 13, 2, 26 ]
52
[ "14-13=1", "2*26=52", "1*52=52" ]
Current State: 52:[14, 13, 2, 26], Operations: [] Exploring Operation: 14-13=1, Resulting Numbers: [2, 26, 1] Generated Node #2: [2, 26, 1] from Operation: 14-13=1 Current State: 52:[2, 26, 1], Operations: ['14-13=1'] Exploring Operation: 2*26=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 2*26=52 Current State: 52:[1, 52], Operations: ['14-13=1', '2*26=52'] Exploring Operation: 1*52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 89, 14, 80, 54 ]
72
[ "89-80=9", "14*9=126", "126-54=72" ]
Current State: 72:[89, 14, 80, 54], Operations: [] Exploring Operation: 89-80=9, Resulting Numbers: [14, 54, 9] Generated Node #2: [14, 54, 9] from Operation: 89-80=9 Current State: 72:[14, 54, 9], Operations: ['89-80=9'] Exploring Operation: 14*9=126, Resulting Numbers: [54, 126] Generated Node #3: [54, 126] from Operation: 14*9=126 Current State: 72:[54, 126], Operations: ['89-80=9', '14*9=126'] Exploring Operation: 126-54=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 42, 43, 45, 76 ]
11
[ "45-42=3", "76-43=33", "33/3=11" ]
Current State: 11:[42, 43, 45, 76], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [43, 76, 3] Generated Node #2: [43, 76, 3] from Operation: 45-42=3 Current State: 11:[43, 76, 3], Operations: ['45-42=3'] Exploring Operation: 76-43=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 76-43=33 Current State: 11:[3, 33], Operations: ['45-42=3', '76-43=33'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 17, 21, 30, 19 ]
72
[ "19-17=2", "21*2=42", "30+42=72" ]
Current State: 72:[17, 21, 30, 19], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [21, 30, 2] Generated Node #2: [21, 30, 2] from Operation: 19-17=2 Current State: 72:[21, 30, 2], Operations: ['19-17=2'] Exploring Operation: 21*2=42, Resulting Numbers: [30, 42] Generated Node #3: [30, 42] from Operation: 21*2=42 Current State: 72:[30, 42], Operations: ['19-17=2', '21*2=42'] Exploring Operation: 30+42=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 60, 5, 79, 11 ]
78
[ "60/5=12", "79+11=90", "90-12=78" ]
Current State: 78:[60, 5, 79, 11], Operations: [] Exploring Operation: 60/5=12, Resulting Numbers: [79, 11, 12] Generated Node #2: [79, 11, 12] from Operation: 60/5=12 Current State: 78:[79, 11, 12], Operations: ['60/5=12'] Exploring Operation: 79+11=90, Resulting Numbers: [12, 90] Generated Node #3: [12, 90] from Operation: 79+11=90 Current State: 78:[12, 90], Operations: ['60/5=12', '79+11=90'] Exploring Operation: 90-12=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 69, 47, 40, 30 ]
47
[ "69-40=29", "30-29=1", "47*1=47" ]
Current State: 47:[69, 47, 40, 30], Operations: [] Exploring Operation: 69-40=29, Resulting Numbers: [47, 30, 29] Generated Node #2: [47, 30, 29] from Operation: 69-40=29 Current State: 47:[47, 30, 29], Operations: ['69-40=29'] Exploring Operation: 30-29=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 30-29=1 Current State: 47:[47, 1], Operations: ['69-40=29', '30-29=1'] Exploring Operation: 47*1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 87, 55, 21, 94 ]
41
[ "87-55=32", "94-21=73", "73-32=41" ]
Current State: 41:[87, 55, 21, 94], Operations: [] Exploring Operation: 87-55=32, Resulting Numbers: [21, 94, 32] Generated Node #2: [21, 94, 32] from Operation: 87-55=32 Current State: 41:[21, 94, 32], Operations: ['87-55=32'] Exploring Operation: 94-21=73, Resulting Numbers: [32, 73] Generated Node #3: [32, 73] from Operation: 94-21=73 Current State: 41:[32, 73], Operations: ['87-55=32', '94-21=73'] Exploring Operation: 73-32=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 53, 56, 55, 87 ]
96
[ "56-53=3", "87-55=32", "3*32=96" ]
Current State: 96:[53, 56, 55, 87], Operations: [] Exploring Operation: 56-53=3, Resulting Numbers: [55, 87, 3] Generated Node #2: [55, 87, 3] from Operation: 56-53=3 Current State: 96:[55, 87, 3], Operations: ['56-53=3'] Exploring Operation: 87-55=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 87-55=32 Current State: 96:[3, 32], Operations: ['56-53=3', '87-55=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 80, 37, 19, 84 ]
39
[ "84-80=4", "19*4=76", "76-37=39" ]
Current State: 39:[80, 37, 19, 84], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [37, 19, 4] Generated Node #2: [37, 19, 4] from Operation: 84-80=4 Current State: 39:[37, 19, 4], Operations: ['84-80=4'] Exploring Operation: 19*4=76, Resulting Numbers: [37, 76] Generated Node #3: [37, 76] from Operation: 19*4=76 Current State: 39:[37, 76], Operations: ['84-80=4', '19*4=76'] Exploring Operation: 76-37=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4