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
[ 81, 35, 21, 66 ]
41
[ "81-35=46", "21+66=87", "87-46=41" ]
Current State: 41:[81, 35, 21, 66], Operations: [] Exploring Operation: 81-35=46, Resulting Numbers: [21, 66, 46] Generated Node #2: [21, 66, 46] from Operation: 81-35=46 Current State: 41:[21, 66, 46], Operations: ['81-35=46'] Exploring Operation: 21+66=87, Resulting Numbers: [46, 87] Generated Node #3: [46, 87] from Operation: 21+66=87 Current State: 41:[46, 87], Operations: ['81-35=46', '21+66=87'] Exploring Operation: 87-46=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 99, 30, 69, 40 ]
100
[ "99+30=129", "69-40=29", "129-29=100" ]
Current State: 100:[99, 30, 69, 40], Operations: [] Exploring Operation: 99+30=129, Resulting Numbers: [69, 40, 129] Generated Node #2: [69, 40, 129] from Operation: 99+30=129 Current State: 100:[69, 40, 129], Operations: ['99+30=129'] Exploring Operation: 69-40=29, Resulting Numbers: [129, 29] Generated Node #3: [129, 29] from Operation: 69-40=29 Current State: 100:[129, 29], Operations: ['99+30=129', '69-40=29'] Exploring Operation: 129-29=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 72, 11, 11, 9 ]
80
[ "72+9=81", "11/11=1", "81-1=80" ]
Current State: 80:[72, 11, 11, 9], Operations: [] Exploring Operation: 72+9=81, Resulting Numbers: [11, 11, 81] Generated Node #2: [11, 11, 81] from Operation: 72+9=81 Current State: 80:[11, 11, 81], Operations: ['72+9=81'] Exploring Operation: 11/11=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 11/11=1 Current State: 80:[81, 1], Operations: ['72+9=81', '11/11=1'] Exploring Operation: 81-1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 54, 72, 53, 26 ]
47
[ "54+72=126", "53+26=79", "126-79=47" ]
Current State: 47:[54, 72, 53, 26], Operations: [] Exploring Operation: 54+72=126, Resulting Numbers: [53, 26, 126] Generated Node #2: [53, 26, 126] from Operation: 54+72=126 Current State: 47:[53, 26, 126], Operations: ['54+72=126'] Exploring Operation: 53+26=79, Resulting Numbers: [126, 79] Generated Node #3: [126, 79] from Operation: 53+26=79 Current State: 47:[126, 79], Operations: ['54+72=126', '53+26=79'] Exploring Operation: 126-79=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 32, 34, 44, 76 ]
64
[ "34-32=2", "76-44=32", "2*32=64" ]
Current State: 64:[32, 34, 44, 76], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [44, 76, 2] Generated Node #2: [44, 76, 2] from Operation: 34-32=2 Current State: 64:[44, 76, 2], Operations: ['34-32=2'] Exploring Operation: 76-44=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 76-44=32 Current State: 64:[2, 32], Operations: ['34-32=2', '76-44=32'] Exploring Operation: 2*32=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 61, 21, 48, 26 ]
33
[ "61*21=1281", "48*26=1248", "1281-1248=33" ]
Current State: 33:[61, 21, 48, 26], Operations: [] Exploring Operation: 61*21=1281, Resulting Numbers: [48, 26, 1281] Generated Node #2: [48, 26, 1281] from Operation: 61*21=1281 Current State: 33:[48, 26, 1281], Operations: ['61*21=1281'] Exploring Operation: 48*26=1248, Resulting Numbers: [1281, 1248] Generated Node #3: [1281, 1248] from Operation: 48*26=1248 Current State: 33:[1281, 1248], Operations: ['61*21=1281', '48*26=1248'] Exploring Operation: 1281-1248=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 4, 84, 68, 64 ]
100
[ "68-64=4", "4*4=16", "84+16=100" ]
Current State: 100:[4, 84, 68, 64], Operations: [] Exploring Operation: 68-64=4, Resulting Numbers: [4, 84, 4] Generated Node #2: [4, 84, 4] from Operation: 68-64=4 Current State: 100:[4, 84, 4], Operations: ['68-64=4'] Exploring Operation: 4*4=16, Resulting Numbers: [84, 16] Generated Node #3: [84, 16] from Operation: 4*4=16 Current State: 100:[84, 16], Operations: ['68-64=4', '4*4=16'] Exploring Operation: 84+16=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 35, 62, 91, 29 ]
93
[ "62-35=27", "91+29=120", "120-27=93" ]
Current State: 93:[35, 62, 91, 29], Operations: [] Exploring Operation: 62-35=27, Resulting Numbers: [91, 29, 27] Generated Node #2: [91, 29, 27] from Operation: 62-35=27 Current State: 93:[91, 29, 27], Operations: ['62-35=27'] Exploring Operation: 91+29=120, Resulting Numbers: [27, 120] Generated Node #3: [27, 120] from Operation: 91+29=120 Current State: 93:[27, 120], Operations: ['62-35=27', '91+29=120'] Exploring Operation: 120-27=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 45, 78, 66, 66 ]
34
[ "78-45=33", "66/66=1", "33+1=34" ]
Current State: 34:[45, 78, 66, 66], Operations: [] Exploring Operation: 78-45=33, Resulting Numbers: [66, 66, 33] Generated Node #2: [66, 66, 33] from Operation: 78-45=33 Current State: 34:[66, 66, 33], Operations: ['78-45=33'] Exploring Operation: 66/66=1, Resulting Numbers: [33, 1] Generated Node #3: [33, 1] from Operation: 66/66=1 Current State: 34:[33, 1], Operations: ['78-45=33', '66/66=1'] Exploring Operation: 33+1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 22, 69, 81, 27 ]
44
[ "69-22=47", "81/27=3", "47-3=44" ]
Current State: 44:[22, 69, 81, 27], Operations: [] Exploring Operation: 69-22=47, Resulting Numbers: [81, 27, 47] Generated Node #2: [81, 27, 47] from Operation: 69-22=47 Current State: 44:[81, 27, 47], Operations: ['69-22=47'] Exploring Operation: 81/27=3, Resulting Numbers: [47, 3] Generated Node #3: [47, 3] from Operation: 81/27=3 Current State: 44:[47, 3], Operations: ['69-22=47', '81/27=3'] Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 2, 6, 49, 38 ]
55
[ "38-2=36", "36/6=6", "49+6=55" ]
Current State: 55:[2, 6, 49, 38], Operations: [] Exploring Operation: 38-2=36, Resulting Numbers: [6, 49, 36] Generated Node #2: [6, 49, 36] from Operation: 38-2=36 Current State: 55:[6, 49, 36], Operations: ['38-2=36'] Exploring Operation: 36/6=6, Resulting Numbers: [49, 6] Generated Node #3: [49, 6] from Operation: 36/6=6 Current State: 55:[49, 6], Operations: ['38-2=36', '36/6=6'] Exploring Operation: 49+6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 18, 54, 24, 24 ]
36
[ "54-18=36", "24-24=0", "36+0=36" ]
Current State: 36:[18, 54, 24, 24], Operations: [] Exploring Operation: 54-18=36, Resulting Numbers: [24, 24, 36] Generated Node #2: [24, 24, 36] from Operation: 54-18=36 Current State: 36:[24, 24, 36], Operations: ['54-18=36'] Exploring Operation: 24-24=0, Resulting Numbers: [36, 0] Generated Node #3: [36, 0] from Operation: 24-24=0 Current State: 36:[36, 0], Operations: ['54-18=36', '24-24=0'] Exploring Operation: 36+0=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 41, 8, 45, 17 ]
42
[ "41-17=24", "24/8=3", "45-3=42" ]
Current State: 42:[41, 8, 45, 17], Operations: [] Exploring Operation: 41-17=24, Resulting Numbers: [8, 45, 24] Generated Node #2: [8, 45, 24] from Operation: 41-17=24 Current State: 42:[8, 45, 24], Operations: ['41-17=24'] Exploring Operation: 24/8=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 24/8=3 Current State: 42:[45, 3], Operations: ['41-17=24', '24/8=3'] Exploring Operation: 45-3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 10, 20, 86, 28 ]
100
[ "20/10=2", "28/2=14", "86+14=100" ]
Current State: 100:[10, 20, 86, 28], Operations: [] Exploring Operation: 20/10=2, Resulting Numbers: [86, 28, 2] Generated Node #2: [86, 28, 2] from Operation: 20/10=2 Current State: 100:[86, 28, 2], Operations: ['20/10=2'] Exploring Operation: 28/2=14, Resulting Numbers: [86, 14] Generated Node #3: [86, 14] from Operation: 28/2=14 Current State: 100:[86, 14], Operations: ['20/10=2', '28/2=14'] Exploring Operation: 86+14=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 29, 19, 19, 22 ]
86
[ "22-19=3", "19*3=57", "29+57=86" ]
Current State: 86:[29, 19, 19, 22], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [29, 3] Generated Node #2: [29, 3] from Operation: 22-19=3 Current State: 86:[29, 3], Operations: ['22-19=3'] Exploring Operation: 19*3=57, Resulting Numbers: [29, 57] Generated Node #3: [29, 57] from Operation: 19*3=57 Current State: 86:[29, 57], Operations: ['22-19=3', '19*3=57'] Exploring Operation: 29+57=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 61, 41, 3, 2 ]
56
[ "41-2=39", "3*39=117", "117-61=56" ]
Current State: 56:[61, 41, 3, 2], Operations: [] Exploring Operation: 41-2=39, Resulting Numbers: [61, 3, 39] Generated Node #2: [61, 3, 39] from Operation: 41-2=39 Current State: 56:[61, 3, 39], Operations: ['41-2=39'] Exploring Operation: 3*39=117, Resulting Numbers: [61, 117] Generated Node #3: [61, 117] from Operation: 3*39=117 Current State: 56:[61, 117], Operations: ['41-2=39', '3*39=117'] Exploring Operation: 117-61=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 44, 87, 6, 27 ]
31
[ "44+87=131", "6*27=162", "162-131=31" ]
Current State: 31:[44, 87, 6, 27], Operations: [] Exploring Operation: 44+87=131, Resulting Numbers: [6, 27, 131] Generated Node #2: [6, 27, 131] from Operation: 44+87=131 Current State: 31:[6, 27, 131], Operations: ['44+87=131'] Exploring Operation: 6*27=162, Resulting Numbers: [131, 162] Generated Node #3: [131, 162] from Operation: 6*27=162 Current State: 31:[131, 162], Operations: ['44+87=131', '6*27=162'] Exploring Operation: 162-131=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 96, 58, 34, 55 ]
91
[ "58*55=3190", "3190-96=3094", "3094/34=91" ]
Current State: 91:[96, 58, 34, 55], Operations: [] Exploring Operation: 58*55=3190, Resulting Numbers: [96, 34, 3190] Generated Node #2: [96, 34, 3190] from Operation: 58*55=3190 Current State: 91:[96, 34, 3190], Operations: ['58*55=3190'] Exploring Operation: 3190-96=3094, Resulting Numbers: [34, 3094] Generated Node #3: [34, 3094] from Operation: 3190-96=3094 Current State: 91:[34, 3094], Operations: ['58*55=3190', '3190-96=3094'] Exploring Operation: 3094/34=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 34, 86, 20, 3 ]
84
[ "20-3=17", "34/17=2", "86-2=84" ]
Current State: 84:[34, 86, 20, 3], Operations: [] Exploring Operation: 20-3=17, Resulting Numbers: [34, 86, 17] Generated Node #2: [34, 86, 17] from Operation: 20-3=17 Current State: 84:[34, 86, 17], Operations: ['20-3=17'] Exploring Operation: 34/17=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 34/17=2 Current State: 84:[86, 2], Operations: ['20-3=17', '34/17=2'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 80, 38, 11, 4 ]
29
[ "80/4=20", "38+11=49", "49-20=29" ]
Current State: 29:[80, 38, 11, 4], Operations: [] Exploring Operation: 80/4=20, Resulting Numbers: [38, 11, 20] Generated Node #2: [38, 11, 20] from Operation: 80/4=20 Current State: 29:[38, 11, 20], Operations: ['80/4=20'] Exploring Operation: 38+11=49, Resulting Numbers: [20, 49] Generated Node #3: [20, 49] from Operation: 38+11=49 Current State: 29:[20, 49], Operations: ['80/4=20', '38+11=49'] Exploring Operation: 49-20=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 53, 51, 4, 63 ]
89
[ "53+51=104", "104/4=26", "63+26=89" ]
Current State: 89:[53, 51, 4, 63], Operations: [] Exploring Operation: 53+51=104, Resulting Numbers: [4, 63, 104] Generated Node #2: [4, 63, 104] from Operation: 53+51=104 Current State: 89:[4, 63, 104], Operations: ['53+51=104'] Exploring Operation: 104/4=26, Resulting Numbers: [63, 26] Generated Node #3: [63, 26] from Operation: 104/4=26 Current State: 89:[63, 26], Operations: ['53+51=104', '104/4=26'] Exploring Operation: 63+26=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 58, 14, 8, 25 ]
27
[ "58-14=44", "25-8=17", "44-17=27" ]
Current State: 27:[58, 14, 8, 25], Operations: [] Exploring Operation: 58-14=44, Resulting Numbers: [8, 25, 44] Generated Node #2: [8, 25, 44] from Operation: 58-14=44 Current State: 27:[8, 25, 44], Operations: ['58-14=44'] Exploring Operation: 25-8=17, Resulting Numbers: [44, 17] Generated Node #3: [44, 17] from Operation: 25-8=17 Current State: 27:[44, 17], Operations: ['58-14=44', '25-8=17'] Exploring Operation: 44-17=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 42, 88, 47, 65 ]
45
[ "42+88=130", "130/65=2", "47-2=45" ]
Current State: 45:[42, 88, 47, 65], Operations: [] Exploring Operation: 42+88=130, Resulting Numbers: [47, 65, 130] Generated Node #2: [47, 65, 130] from Operation: 42+88=130 Current State: 45:[47, 65, 130], Operations: ['42+88=130'] Exploring Operation: 130/65=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 130/65=2 Current State: 45:[47, 2], Operations: ['42+88=130', '130/65=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 9, 73, 78, 79 ]
14
[ "79-9=70", "78-73=5", "70/5=14" ]
Current State: 14:[9, 73, 78, 79], Operations: [] Exploring Operation: 79-9=70, Resulting Numbers: [73, 78, 70] Generated Node #2: [73, 78, 70] from Operation: 79-9=70 Current State: 14:[73, 78, 70], Operations: ['79-9=70'] Exploring Operation: 78-73=5, Resulting Numbers: [70, 5] Generated Node #3: [70, 5] from Operation: 78-73=5 Current State: 14:[70, 5], Operations: ['79-9=70', '78-73=5'] Exploring Operation: 70/5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 14, 3, 18, 35 ]
49
[ "14*18=252", "252/3=84", "84-35=49" ]
Current State: 49:[14, 3, 18, 35], Operations: [] Exploring Operation: 14*18=252, Resulting Numbers: [3, 35, 252] Generated Node #2: [3, 35, 252] from Operation: 14*18=252 Current State: 49:[3, 35, 252], Operations: ['14*18=252'] Exploring Operation: 252/3=84, Resulting Numbers: [35, 84] Generated Node #3: [35, 84] from Operation: 252/3=84 Current State: 49:[35, 84], Operations: ['14*18=252', '252/3=84'] Exploring Operation: 84-35=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 53, 75, 6, 99 ]
27
[ "75-53=22", "6*99=594", "594/22=27" ]
Current State: 27:[53, 75, 6, 99], Operations: [] Exploring Operation: 75-53=22, Resulting Numbers: [6, 99, 22] Generated Node #2: [6, 99, 22] from Operation: 75-53=22 Current State: 27:[6, 99, 22], Operations: ['75-53=22'] Exploring Operation: 6*99=594, Resulting Numbers: [22, 594] Generated Node #3: [22, 594] from Operation: 6*99=594 Current State: 27:[22, 594], Operations: ['75-53=22', '6*99=594'] Exploring Operation: 594/22=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 98, 8, 12, 51 ]
96
[ "98*12=1176", "1176/8=147", "147-51=96" ]
Current State: 96:[98, 8, 12, 51], Operations: [] Exploring Operation: 98*12=1176, Resulting Numbers: [8, 51, 1176] Generated Node #2: [8, 51, 1176] from Operation: 98*12=1176 Current State: 96:[8, 51, 1176], Operations: ['98*12=1176'] Exploring Operation: 1176/8=147, Resulting Numbers: [51, 147] Generated Node #3: [51, 147] from Operation: 1176/8=147 Current State: 96:[51, 147], Operations: ['98*12=1176', '1176/8=147'] Exploring Operation: 147-51=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 6, 6, 46, 9 ]
67
[ "6+6=12", "46+9=55", "12+55=67" ]
Current State: 67:[6, 6, 46, 9], Operations: [] Exploring Operation: 6+6=12, Resulting Numbers: [46, 9, 12] Generated Node #2: [46, 9, 12] from Operation: 6+6=12 Current State: 67:[46, 9, 12], Operations: ['6+6=12'] Exploring Operation: 46+9=55, Resulting Numbers: [12, 55] Generated Node #3: [12, 55] from Operation: 46+9=55 Current State: 67:[12, 55], Operations: ['6+6=12', '46+9=55'] Exploring Operation: 12+55=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 84, 81, 40, 11 ]
73
[ "84-81=3", "11*3=33", "40+33=73" ]
Current State: 73:[84, 81, 40, 11], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [40, 11, 3] Generated Node #2: [40, 11, 3] from Operation: 84-81=3 Current State: 73:[40, 11, 3], Operations: ['84-81=3'] Exploring Operation: 11*3=33, Resulting Numbers: [40, 33] Generated Node #3: [40, 33] from Operation: 11*3=33 Current State: 73:[40, 33], Operations: ['84-81=3', '11*3=33'] Exploring Operation: 40+33=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 35, 50, 90, 60 ]
92
[ "60-35=25", "50/25=2", "90+2=92" ]
Current State: 92:[35, 50, 90, 60], Operations: [] Exploring Operation: 60-35=25, Resulting Numbers: [50, 90, 25] Generated Node #2: [50, 90, 25] from Operation: 60-35=25 Current State: 92:[50, 90, 25], Operations: ['60-35=25'] Exploring Operation: 50/25=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 50/25=2 Current State: 92:[90, 2], Operations: ['60-35=25', '50/25=2'] Exploring Operation: 90+2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 64, 71, 23, 4 ]
76
[ "71-23=48", "48/4=12", "64+12=76" ]
Current State: 76:[64, 71, 23, 4], Operations: [] Exploring Operation: 71-23=48, Resulting Numbers: [64, 4, 48] Generated Node #2: [64, 4, 48] from Operation: 71-23=48 Current State: 76:[64, 4, 48], Operations: ['71-23=48'] Exploring Operation: 48/4=12, Resulting Numbers: [64, 12] Generated Node #3: [64, 12] from Operation: 48/4=12 Current State: 76:[64, 12], Operations: ['71-23=48', '48/4=12'] Exploring Operation: 64+12=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 65, 98, 38, 84 ]
96
[ "84-65=19", "38/19=2", "98-2=96" ]
Current State: 96:[65, 98, 38, 84], Operations: [] Exploring Operation: 84-65=19, Resulting Numbers: [98, 38, 19] Generated Node #2: [98, 38, 19] from Operation: 84-65=19 Current State: 96:[98, 38, 19], Operations: ['84-65=19'] Exploring Operation: 38/19=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 38/19=2 Current State: 96:[98, 2], Operations: ['84-65=19', '38/19=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 14, 50, 52, 54 ]
94
[ "52-50=2", "54*2=108", "108-14=94" ]
Current State: 94:[14, 50, 52, 54], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [14, 54, 2] Generated Node #2: [14, 54, 2] from Operation: 52-50=2 Current State: 94:[14, 54, 2], Operations: ['52-50=2'] Exploring Operation: 54*2=108, Resulting Numbers: [14, 108] Generated Node #3: [14, 108] from Operation: 54*2=108 Current State: 94:[14, 108], Operations: ['52-50=2', '54*2=108'] Exploring Operation: 108-14=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 21, 42, 4, 80 ]
82
[ "42/21=2", "4+80=84", "84-2=82" ]
Current State: 82:[21, 42, 4, 80], Operations: [] Exploring Operation: 42/21=2, Resulting Numbers: [4, 80, 2] Generated Node #2: [4, 80, 2] from Operation: 42/21=2 Current State: 82:[4, 80, 2], Operations: ['42/21=2'] Exploring Operation: 4+80=84, Resulting Numbers: [2, 84] Generated Node #3: [2, 84] from Operation: 4+80=84 Current State: 82:[2, 84], Operations: ['42/21=2', '4+80=84'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 37, 50, 17, 16 ]
51
[ "50-37=13", "16-13=3", "17*3=51" ]
Current State: 51:[37, 50, 17, 16], Operations: [] Exploring Operation: 50-37=13, Resulting Numbers: [17, 16, 13] Generated Node #2: [17, 16, 13] from Operation: 50-37=13 Current State: 51:[17, 16, 13], Operations: ['50-37=13'] Exploring Operation: 16-13=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 16-13=3 Current State: 51:[17, 3], Operations: ['50-37=13', '16-13=3'] Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 73, 61, 75, 20 ]
67
[ "73-61=12", "75-20=55", "12+55=67" ]
Current State: 67:[73, 61, 75, 20], Operations: [] Exploring Operation: 73-61=12, Resulting Numbers: [75, 20, 12] Generated Node #2: [75, 20, 12] from Operation: 73-61=12 Current State: 67:[75, 20, 12], Operations: ['73-61=12'] Exploring Operation: 75-20=55, Resulting Numbers: [12, 55] Generated Node #3: [12, 55] from Operation: 75-20=55 Current State: 67:[12, 55], Operations: ['73-61=12', '75-20=55'] Exploring Operation: 12+55=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 18, 71, 1, 78 ]
74
[ "71+1=72", "72/18=4", "78-4=74" ]
Current State: 74:[18, 71, 1, 78], Operations: [] Exploring Operation: 71+1=72, Resulting Numbers: [18, 78, 72] Generated Node #2: [18, 78, 72] from Operation: 71+1=72 Current State: 74:[18, 78, 72], Operations: ['71+1=72'] Exploring Operation: 72/18=4, Resulting Numbers: [78, 4] Generated Node #3: [78, 4] from Operation: 72/18=4 Current State: 74:[78, 4], Operations: ['71+1=72', '72/18=4'] Exploring Operation: 78-4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 76, 91, 3, 24 ]
65
[ "76-24=52", "3*52=156", "156-91=65" ]
Current State: 65:[76, 91, 3, 24], Operations: [] Exploring Operation: 76-24=52, Resulting Numbers: [91, 3, 52] Generated Node #2: [91, 3, 52] from Operation: 76-24=52 Current State: 65:[91, 3, 52], Operations: ['76-24=52'] Exploring Operation: 3*52=156, Resulting Numbers: [91, 156] Generated Node #3: [91, 156] from Operation: 3*52=156 Current State: 65:[91, 156], Operations: ['76-24=52', '3*52=156'] Exploring Operation: 156-91=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 31, 68, 68, 80 ]
87
[ "31+68=99", "80-68=12", "99-12=87" ]
Current State: 87:[31, 68, 68, 80], Operations: [] Exploring Operation: 31+68=99, Resulting Numbers: [80, 99] Generated Node #2: [80, 99] from Operation: 31+68=99 Current State: 87:[80, 99], Operations: ['31+68=99'] Exploring Operation: 80-68=12, Resulting Numbers: [99, 12] Generated Node #3: [99, 12] from Operation: 80-68=12 Current State: 87:[99, 12], Operations: ['31+68=99', '80-68=12'] Exploring Operation: 99-12=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 83, 67, 9, 57 ]
82
[ "83-67=16", "9+57=66", "16+66=82" ]
Current State: 82:[83, 67, 9, 57], Operations: [] Exploring Operation: 83-67=16, Resulting Numbers: [9, 57, 16] Generated Node #2: [9, 57, 16] from Operation: 83-67=16 Current State: 82:[9, 57, 16], Operations: ['83-67=16'] Exploring Operation: 9+57=66, Resulting Numbers: [16, 66] Generated Node #3: [16, 66] from Operation: 9+57=66 Current State: 82:[16, 66], Operations: ['83-67=16', '9+57=66'] Exploring Operation: 16+66=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 12, 2, 39, 59 ]
14
[ "12/2=6", "59-39=20", "20-6=14" ]
Current State: 14:[12, 2, 39, 59], Operations: [] Exploring Operation: 12/2=6, Resulting Numbers: [39, 59, 6] Generated Node #2: [39, 59, 6] from Operation: 12/2=6 Current State: 14:[39, 59, 6], Operations: ['12/2=6'] Exploring Operation: 59-39=20, Resulting Numbers: [6, 20] Generated Node #3: [6, 20] from Operation: 59-39=20 Current State: 14:[6, 20], Operations: ['12/2=6', '59-39=20'] Exploring Operation: 20-6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 51, 77, 97, 50 ]
21
[ "77-51=26", "97-50=47", "47-26=21" ]
Current State: 21:[51, 77, 97, 50], Operations: [] Exploring Operation: 77-51=26, Resulting Numbers: [97, 50, 26] Generated Node #2: [97, 50, 26] from Operation: 77-51=26 Current State: 21:[97, 50, 26], Operations: ['77-51=26'] Exploring Operation: 97-50=47, Resulting Numbers: [26, 47] Generated Node #3: [26, 47] from Operation: 97-50=47 Current State: 21:[26, 47], Operations: ['77-51=26', '97-50=47'] Exploring Operation: 47-26=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 63, 65, 9, 37 ]
36
[ "63*37=2331", "9+2331=2340", "2340/65=36" ]
Current State: 36:[63, 65, 9, 37], Operations: [] Exploring Operation: 63*37=2331, Resulting Numbers: [65, 9, 2331] Generated Node #2: [65, 9, 2331] from Operation: 63*37=2331 Current State: 36:[65, 9, 2331], Operations: ['63*37=2331'] Exploring Operation: 9+2331=2340, Resulting Numbers: [65, 2340] Generated Node #3: [65, 2340] from Operation: 9+2331=2340 Current State: 36:[65, 2340], Operations: ['63*37=2331', '9+2331=2340'] Exploring Operation: 2340/65=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 95, 49, 25, 76 ]
100
[ "49+76=125", "125/25=5", "95+5=100" ]
Current State: 100:[95, 49, 25, 76], Operations: [] Exploring Operation: 49+76=125, Resulting Numbers: [95, 25, 125] Generated Node #2: [95, 25, 125] from Operation: 49+76=125 Current State: 100:[95, 25, 125], Operations: ['49+76=125'] Exploring Operation: 125/25=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 125/25=5 Current State: 100:[95, 5], Operations: ['49+76=125', '125/25=5'] Exploring Operation: 95+5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 32, 58, 98, 26 ]
34
[ "32+58=90", "98+26=124", "124-90=34" ]
Current State: 34:[32, 58, 98, 26], Operations: [] Exploring Operation: 32+58=90, Resulting Numbers: [98, 26, 90] Generated Node #2: [98, 26, 90] from Operation: 32+58=90 Current State: 34:[98, 26, 90], Operations: ['32+58=90'] Exploring Operation: 98+26=124, Resulting Numbers: [90, 124] Generated Node #3: [90, 124] from Operation: 98+26=124 Current State: 34:[90, 124], Operations: ['32+58=90', '98+26=124'] Exploring Operation: 124-90=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 13, 77, 62, 8 ]
89
[ "13*8=104", "77-62=15", "104-15=89" ]
Current State: 89:[13, 77, 62, 8], Operations: [] Exploring Operation: 13*8=104, Resulting Numbers: [77, 62, 104] Generated Node #2: [77, 62, 104] from Operation: 13*8=104 Current State: 89:[77, 62, 104], Operations: ['13*8=104'] Exploring Operation: 77-62=15, Resulting Numbers: [104, 15] Generated Node #3: [104, 15] from Operation: 77-62=15 Current State: 89:[104, 15], Operations: ['13*8=104', '77-62=15'] Exploring Operation: 104-15=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 53, 62, 90, 1 ]
82
[ "62-53=9", "90+1=91", "91-9=82" ]
Current State: 82:[53, 62, 90, 1], Operations: [] Exploring Operation: 62-53=9, Resulting Numbers: [90, 1, 9] Generated Node #2: [90, 1, 9] from Operation: 62-53=9 Current State: 82:[90, 1, 9], Operations: ['62-53=9'] Exploring Operation: 90+1=91, Resulting Numbers: [9, 91] Generated Node #3: [9, 91] from Operation: 90+1=91 Current State: 82:[9, 91], Operations: ['62-53=9', '90+1=91'] Exploring Operation: 91-9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 27, 52, 55, 23 ]
32
[ "55-52=3", "27/3=9", "23+9=32" ]
Current State: 32:[27, 52, 55, 23], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [27, 23, 3] Generated Node #2: [27, 23, 3] from Operation: 55-52=3 Current State: 32:[27, 23, 3], Operations: ['55-52=3'] Exploring Operation: 27/3=9, Resulting Numbers: [23, 9] Generated Node #3: [23, 9] from Operation: 27/3=9 Current State: 32:[23, 9], Operations: ['55-52=3', '27/3=9'] Exploring Operation: 23+9=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 80, 38, 5, 80 ]
26
[ "80-38=42", "80/5=16", "42-16=26" ]
Current State: 26:[80, 38, 5, 80], Operations: [] Exploring Operation: 80-38=42, Resulting Numbers: [5, 42] Generated Node #2: [5, 42] from Operation: 80-38=42 Current State: 26:[5, 42], Operations: ['80-38=42'] Exploring Operation: 80/5=16, Resulting Numbers: [42, 16] Generated Node #3: [42, 16] from Operation: 80/5=16 Current State: 26:[42, 16], Operations: ['80-38=42', '80/5=16'] Exploring Operation: 42-16=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 14, 20, 32, 14 ]
51
[ "14/14=1", "20+32=52", "52-1=51" ]
Current State: 51:[14, 20, 32, 14], Operations: [] Exploring Operation: 14/14=1, Resulting Numbers: [20, 32, 1] Generated Node #2: [20, 32, 1] from Operation: 14/14=1 Current State: 51:[20, 32, 1], Operations: ['14/14=1'] Exploring Operation: 20+32=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 20+32=52 Current State: 51:[1, 52], Operations: ['14/14=1', '20+32=52'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 94, 13, 64, 39 ]
98
[ "39/13=3", "64*3=192", "192-94=98" ]
Current State: 98:[94, 13, 64, 39], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [94, 64, 3] Generated Node #2: [94, 64, 3] from Operation: 39/13=3 Current State: 98:[94, 64, 3], Operations: ['39/13=3'] Exploring Operation: 64*3=192, Resulting Numbers: [94, 192] Generated Node #3: [94, 192] from Operation: 64*3=192 Current State: 98:[94, 192], Operations: ['39/13=3', '64*3=192'] Exploring Operation: 192-94=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 14, 2, 52, 67 ]
17
[ "14/2=7", "52+67=119", "119/7=17" ]
Current State: 17:[14, 2, 52, 67], Operations: [] Exploring Operation: 14/2=7, Resulting Numbers: [52, 67, 7] Generated Node #2: [52, 67, 7] from Operation: 14/2=7 Current State: 17:[52, 67, 7], Operations: ['14/2=7'] Exploring Operation: 52+67=119, Resulting Numbers: [7, 119] Generated Node #3: [7, 119] from Operation: 52+67=119 Current State: 17:[7, 119], Operations: ['14/2=7', '52+67=119'] Exploring Operation: 119/7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 50, 87, 10, 95 ]
100
[ "87+10=97", "97-95=2", "50*2=100" ]
Current State: 100:[50, 87, 10, 95], Operations: [] Exploring Operation: 87+10=97, Resulting Numbers: [50, 95, 97] Generated Node #2: [50, 95, 97] from Operation: 87+10=97 Current State: 100:[50, 95, 97], Operations: ['87+10=97'] Exploring Operation: 97-95=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 97-95=2 Current State: 100:[50, 2], Operations: ['87+10=97', '97-95=2'] Exploring Operation: 50*2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 12, 83, 67, 95 ]
91
[ "83-12=71", "67+95=162", "162-71=91" ]
Current State: 91:[12, 83, 67, 95], Operations: [] Exploring Operation: 83-12=71, Resulting Numbers: [67, 95, 71] Generated Node #2: [67, 95, 71] from Operation: 83-12=71 Current State: 91:[67, 95, 71], Operations: ['83-12=71'] Exploring Operation: 67+95=162, Resulting Numbers: [71, 162] Generated Node #3: [71, 162] from Operation: 67+95=162 Current State: 91:[71, 162], Operations: ['83-12=71', '67+95=162'] Exploring Operation: 162-71=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 89, 92, 81, 73 ]
100
[ "92-89=3", "81/3=27", "73+27=100" ]
Current State: 100:[89, 92, 81, 73], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [81, 73, 3] Generated Node #2: [81, 73, 3] from Operation: 92-89=3 Current State: 100:[81, 73, 3], Operations: ['92-89=3'] Exploring Operation: 81/3=27, Resulting Numbers: [73, 27] Generated Node #3: [73, 27] from Operation: 81/3=27 Current State: 100:[73, 27], Operations: ['92-89=3', '81/3=27'] Exploring Operation: 73+27=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 45, 32, 25, 55 ]
36
[ "45+55=100", "100/25=4", "32+4=36" ]
Current State: 36:[45, 32, 25, 55], Operations: [] Exploring Operation: 45+55=100, Resulting Numbers: [32, 25, 100] Generated Node #2: [32, 25, 100] from Operation: 45+55=100 Current State: 36:[32, 25, 100], Operations: ['45+55=100'] Exploring Operation: 100/25=4, Resulting Numbers: [32, 4] Generated Node #3: [32, 4] from Operation: 100/25=4 Current State: 36:[32, 4], Operations: ['45+55=100', '100/25=4'] Exploring Operation: 32+4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 65, 89, 49, 18 ]
91
[ "89-65=24", "49+18=67", "24+67=91" ]
Current State: 91:[65, 89, 49, 18], Operations: [] Exploring Operation: 89-65=24, Resulting Numbers: [49, 18, 24] Generated Node #2: [49, 18, 24] from Operation: 89-65=24 Current State: 91:[49, 18, 24], Operations: ['89-65=24'] Exploring Operation: 49+18=67, Resulting Numbers: [24, 67] Generated Node #3: [24, 67] from Operation: 49+18=67 Current State: 91:[24, 67], Operations: ['89-65=24', '49+18=67'] Exploring Operation: 24+67=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 68, 25, 58, 53 ]
63
[ "58-53=5", "25/5=5", "68-5=63" ]
Current State: 63:[68, 25, 58, 53], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [68, 25, 5] Generated Node #2: [68, 25, 5] from Operation: 58-53=5 Current State: 63:[68, 25, 5], Operations: ['58-53=5'] Exploring Operation: 25/5=5, Resulting Numbers: [68, 5] Generated Node #3: [68, 5] from Operation: 25/5=5 Current State: 63:[68, 5], Operations: ['58-53=5', '25/5=5'] Exploring Operation: 68-5=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 56, 41, 11, 7 ]
47
[ "56*11=616", "616/7=88", "88-41=47" ]
Current State: 47:[56, 41, 11, 7], Operations: [] Exploring Operation: 56*11=616, Resulting Numbers: [41, 7, 616] Generated Node #2: [41, 7, 616] from Operation: 56*11=616 Current State: 47:[41, 7, 616], Operations: ['56*11=616'] Exploring Operation: 616/7=88, Resulting Numbers: [41, 88] Generated Node #3: [41, 88] from Operation: 616/7=88 Current State: 47:[41, 88], Operations: ['56*11=616', '616/7=88'] Exploring Operation: 88-41=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 12, 42, 43, 78 ]
91
[ "42-12=30", "43+78=121", "121-30=91" ]
Current State: 91:[12, 42, 43, 78], Operations: [] Exploring Operation: 42-12=30, Resulting Numbers: [43, 78, 30] Generated Node #2: [43, 78, 30] from Operation: 42-12=30 Current State: 91:[43, 78, 30], Operations: ['42-12=30'] Exploring Operation: 43+78=121, Resulting Numbers: [30, 121] Generated Node #3: [30, 121] from Operation: 43+78=121 Current State: 91:[30, 121], Operations: ['42-12=30', '43+78=121'] Exploring Operation: 121-30=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 63, 5, 84, 3 ]
42
[ "84-63=21", "5-3=2", "21*2=42" ]
Current State: 42:[63, 5, 84, 3], Operations: [] Exploring Operation: 84-63=21, Resulting Numbers: [5, 3, 21] Generated Node #2: [5, 3, 21] from Operation: 84-63=21 Current State: 42:[5, 3, 21], Operations: ['84-63=21'] Exploring Operation: 5-3=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 5-3=2 Current State: 42:[21, 2], Operations: ['84-63=21', '5-3=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 71, 44, 61, 35 ]
90
[ "71-61=10", "44-35=9", "10*9=90" ]
Current State: 90:[71, 44, 61, 35], Operations: [] Exploring Operation: 71-61=10, Resulting Numbers: [44, 35, 10] Generated Node #2: [44, 35, 10] from Operation: 71-61=10 Current State: 90:[44, 35, 10], Operations: ['71-61=10'] Exploring Operation: 44-35=9, Resulting Numbers: [10, 9] Generated Node #3: [10, 9] from Operation: 44-35=9 Current State: 90:[10, 9], Operations: ['71-61=10', '44-35=9'] Exploring Operation: 10*9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 72, 57, 76, 3 ]
81
[ "72-57=15", "15/3=5", "76+5=81" ]
Current State: 81:[72, 57, 76, 3], Operations: [] Exploring Operation: 72-57=15, Resulting Numbers: [76, 3, 15] Generated Node #2: [76, 3, 15] from Operation: 72-57=15 Current State: 81:[76, 3, 15], Operations: ['72-57=15'] Exploring Operation: 15/3=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 15/3=5 Current State: 81:[76, 5], Operations: ['72-57=15', '15/3=5'] Exploring Operation: 76+5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 33, 59, 48, 32 ]
42
[ "59-33=26", "48-32=16", "26+16=42" ]
Current State: 42:[33, 59, 48, 32], Operations: [] Exploring Operation: 59-33=26, Resulting Numbers: [48, 32, 26] Generated Node #2: [48, 32, 26] from Operation: 59-33=26 Current State: 42:[48, 32, 26], Operations: ['59-33=26'] Exploring Operation: 48-32=16, Resulting Numbers: [26, 16] Generated Node #3: [26, 16] from Operation: 48-32=16 Current State: 42:[26, 16], Operations: ['59-33=26', '48-32=16'] Exploring Operation: 26+16=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 17, 76, 69, 38 ]
48
[ "76-17=59", "69+38=107", "107-59=48" ]
Current State: 48:[17, 76, 69, 38], Operations: [] Exploring Operation: 76-17=59, Resulting Numbers: [69, 38, 59] Generated Node #2: [69, 38, 59] from Operation: 76-17=59 Current State: 48:[69, 38, 59], Operations: ['76-17=59'] Exploring Operation: 69+38=107, Resulting Numbers: [59, 107] Generated Node #3: [59, 107] from Operation: 69+38=107 Current State: 48:[59, 107], Operations: ['76-17=59', '69+38=107'] Exploring Operation: 107-59=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 24, 4, 4, 56 ]
53
[ "4+4=8", "24/8=3", "56-3=53" ]
Current State: 53:[24, 4, 4, 56], Operations: [] Exploring Operation: 4+4=8, Resulting Numbers: [24, 56, 8] Generated Node #2: [24, 56, 8] from Operation: 4+4=8 Current State: 53:[24, 56, 8], Operations: ['4+4=8'] Exploring Operation: 24/8=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 24/8=3 Current State: 53:[56, 3], Operations: ['4+4=8', '24/8=3'] Exploring Operation: 56-3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 51, 82, 64, 79 ]
81
[ "82-79=3", "51/3=17", "64+17=81" ]
Current State: 81:[51, 82, 64, 79], Operations: [] Exploring Operation: 82-79=3, Resulting Numbers: [51, 64, 3] Generated Node #2: [51, 64, 3] from Operation: 82-79=3 Current State: 81:[51, 64, 3], Operations: ['82-79=3'] Exploring Operation: 51/3=17, Resulting Numbers: [64, 17] Generated Node #3: [64, 17] from Operation: 51/3=17 Current State: 81:[64, 17], Operations: ['82-79=3', '51/3=17'] Exploring Operation: 64+17=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 91, 93, 55, 66 ]
63
[ "91+93=184", "55+66=121", "184-121=63" ]
Current State: 63:[91, 93, 55, 66], Operations: [] Exploring Operation: 91+93=184, Resulting Numbers: [55, 66, 184] Generated Node #2: [55, 66, 184] from Operation: 91+93=184 Current State: 63:[55, 66, 184], Operations: ['91+93=184'] Exploring Operation: 55+66=121, Resulting Numbers: [184, 121] Generated Node #3: [184, 121] from Operation: 55+66=121 Current State: 63:[184, 121], Operations: ['91+93=184', '55+66=121'] Exploring Operation: 184-121=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 37, 47, 16, 81 ]
87
[ "47-37=10", "16+81=97", "97-10=87" ]
Current State: 87:[37, 47, 16, 81], Operations: [] Exploring Operation: 47-37=10, Resulting Numbers: [16, 81, 10] Generated Node #2: [16, 81, 10] from Operation: 47-37=10 Current State: 87:[16, 81, 10], Operations: ['47-37=10'] Exploring Operation: 16+81=97, Resulting Numbers: [10, 97] Generated Node #3: [10, 97] from Operation: 16+81=97 Current State: 87:[10, 97], Operations: ['47-37=10', '16+81=97'] Exploring Operation: 97-10=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 28, 75, 4, 17 ]
30
[ "28+75=103", "17+103=120", "120/4=30" ]
Current State: 30:[28, 75, 4, 17], Operations: [] Exploring Operation: 28+75=103, Resulting Numbers: [4, 17, 103] Generated Node #2: [4, 17, 103] from Operation: 28+75=103 Current State: 30:[4, 17, 103], Operations: ['28+75=103'] Exploring Operation: 17+103=120, Resulting Numbers: [4, 120] Generated Node #3: [4, 120] from Operation: 17+103=120 Current State: 30:[4, 120], Operations: ['28+75=103', '17+103=120'] Exploring Operation: 120/4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 40, 34, 57, 83 ]
20
[ "40-34=6", "83-57=26", "26-6=20" ]
Current State: 20:[40, 34, 57, 83], Operations: [] Exploring Operation: 40-34=6, Resulting Numbers: [57, 83, 6] Generated Node #2: [57, 83, 6] from Operation: 40-34=6 Current State: 20:[57, 83, 6], Operations: ['40-34=6'] Exploring Operation: 83-57=26, Resulting Numbers: [6, 26] Generated Node #3: [6, 26] from Operation: 83-57=26 Current State: 20:[6, 26], Operations: ['40-34=6', '83-57=26'] Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 21, 3, 94, 15 ]
76
[ "21-15=6", "3*6=18", "94-18=76" ]
Current State: 76:[21, 3, 94, 15], Operations: [] Exploring Operation: 21-15=6, Resulting Numbers: [3, 94, 6] Generated Node #2: [3, 94, 6] from Operation: 21-15=6 Current State: 76:[3, 94, 6], Operations: ['21-15=6'] Exploring Operation: 3*6=18, Resulting Numbers: [94, 18] Generated Node #3: [94, 18] from Operation: 3*6=18 Current State: 76:[94, 18], Operations: ['21-15=6', '3*6=18'] Exploring Operation: 94-18=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 14, 5, 91, 85 ]
76
[ "14*5=70", "91-85=6", "70+6=76" ]
Current State: 76:[14, 5, 91, 85], Operations: [] Exploring Operation: 14*5=70, Resulting Numbers: [91, 85, 70] Generated Node #2: [91, 85, 70] from Operation: 14*5=70 Current State: 76:[91, 85, 70], Operations: ['14*5=70'] Exploring Operation: 91-85=6, Resulting Numbers: [70, 6] Generated Node #3: [70, 6] from Operation: 91-85=6 Current State: 76:[70, 6], Operations: ['14*5=70', '91-85=6'] Exploring Operation: 70+6=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 70, 91, 95, 44 ]
59
[ "95-91=4", "44/4=11", "70-11=59" ]
Current State: 59:[70, 91, 95, 44], Operations: [] Exploring Operation: 95-91=4, Resulting Numbers: [70, 44, 4] Generated Node #2: [70, 44, 4] from Operation: 95-91=4 Current State: 59:[70, 44, 4], Operations: ['95-91=4'] Exploring Operation: 44/4=11, Resulting Numbers: [70, 11] Generated Node #3: [70, 11] from Operation: 44/4=11 Current State: 59:[70, 11], Operations: ['95-91=4', '44/4=11'] Exploring Operation: 70-11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 35, 22, 2, 68 ]
58
[ "68-22=46", "46/2=23", "35+23=58" ]
Current State: 58:[35, 22, 2, 68], Operations: [] Exploring Operation: 68-22=46, Resulting Numbers: [35, 2, 46] Generated Node #2: [35, 2, 46] from Operation: 68-22=46 Current State: 58:[35, 2, 46], Operations: ['68-22=46'] Exploring Operation: 46/2=23, Resulting Numbers: [35, 23] Generated Node #3: [35, 23] from Operation: 46/2=23 Current State: 58:[35, 23], Operations: ['68-22=46', '46/2=23'] Exploring Operation: 35+23=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 13, 14, 28, 40 ]
68
[ "14-13=1", "28+40=68", "1*68=68" ]
Current State: 68:[13, 14, 28, 40], Operations: [] Exploring Operation: 14-13=1, Resulting Numbers: [28, 40, 1] Generated Node #2: [28, 40, 1] from Operation: 14-13=1 Current State: 68:[28, 40, 1], Operations: ['14-13=1'] Exploring Operation: 28+40=68, Resulting Numbers: [1, 68] Generated Node #3: [1, 68] from Operation: 28+40=68 Current State: 68:[1, 68], Operations: ['14-13=1', '28+40=68'] Exploring Operation: 1*68=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 55, 60, 36, 2 ]
26
[ "60-55=5", "2*5=10", "36-10=26" ]
Current State: 26:[55, 60, 36, 2], Operations: [] Exploring Operation: 60-55=5, Resulting Numbers: [36, 2, 5] Generated Node #2: [36, 2, 5] from Operation: 60-55=5 Current State: 26:[36, 2, 5], Operations: ['60-55=5'] Exploring Operation: 2*5=10, Resulting Numbers: [36, 10] Generated Node #3: [36, 10] from Operation: 2*5=10 Current State: 26:[36, 10], Operations: ['60-55=5', '2*5=10'] Exploring Operation: 36-10=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 12, 46, 38, 17 ]
40
[ "46-12=34", "34/17=2", "38+2=40" ]
Current State: 40:[12, 46, 38, 17], Operations: [] Exploring Operation: 46-12=34, Resulting Numbers: [38, 17, 34] Generated Node #2: [38, 17, 34] from Operation: 46-12=34 Current State: 40:[38, 17, 34], Operations: ['46-12=34'] Exploring Operation: 34/17=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 34/17=2 Current State: 40:[38, 2], Operations: ['46-12=34', '34/17=2'] Exploring Operation: 38+2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 35, 76, 21, 43 ]
23
[ "76-35=41", "21+43=64", "64-41=23" ]
Current State: 23:[35, 76, 21, 43], Operations: [] Exploring Operation: 76-35=41, Resulting Numbers: [21, 43, 41] Generated Node #2: [21, 43, 41] from Operation: 76-35=41 Current State: 23:[21, 43, 41], Operations: ['76-35=41'] Exploring Operation: 21+43=64, Resulting Numbers: [41, 64] Generated Node #3: [41, 64] from Operation: 21+43=64 Current State: 23:[41, 64], Operations: ['76-35=41', '21+43=64'] Exploring Operation: 64-41=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 16, 82, 98, 99 ]
17
[ "16*99=1584", "82+1584=1666", "1666/98=17" ]
Current State: 17:[16, 82, 98, 99], Operations: [] Exploring Operation: 16*99=1584, Resulting Numbers: [82, 98, 1584] Generated Node #2: [82, 98, 1584] from Operation: 16*99=1584 Current State: 17:[82, 98, 1584], Operations: ['16*99=1584'] Exploring Operation: 82+1584=1666, Resulting Numbers: [98, 1666] Generated Node #3: [98, 1666] from Operation: 82+1584=1666 Current State: 17:[98, 1666], Operations: ['16*99=1584', '82+1584=1666'] Exploring Operation: 1666/98=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 28, 43, 40, 51 ]
96
[ "40-28=12", "51-43=8", "12*8=96" ]
Current State: 96:[28, 43, 40, 51], Operations: [] Exploring Operation: 40-28=12, Resulting Numbers: [43, 51, 12] Generated Node #2: [43, 51, 12] from Operation: 40-28=12 Current State: 96:[43, 51, 12], Operations: ['40-28=12'] Exploring Operation: 51-43=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 51-43=8 Current State: 96:[12, 8], Operations: ['40-28=12', '51-43=8'] Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 32, 38, 80, 8 ]
58
[ "32/8=4", "80/4=20", "38+20=58" ]
Current State: 58:[32, 38, 80, 8], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [38, 80, 4] Generated Node #2: [38, 80, 4] from Operation: 32/8=4 Current State: 58:[38, 80, 4], Operations: ['32/8=4'] Exploring Operation: 80/4=20, Resulting Numbers: [38, 20] Generated Node #3: [38, 20] from Operation: 80/4=20 Current State: 58:[38, 20], Operations: ['32/8=4', '80/4=20'] Exploring Operation: 38+20=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 56, 26, 19, 69 ]
73
[ "56*26=1456", "1456-69=1387", "1387/19=73" ]
Current State: 73:[56, 26, 19, 69], Operations: [] Exploring Operation: 56*26=1456, Resulting Numbers: [19, 69, 1456] Generated Node #2: [19, 69, 1456] from Operation: 56*26=1456 Current State: 73:[19, 69, 1456], Operations: ['56*26=1456'] Exploring Operation: 1456-69=1387, Resulting Numbers: [19, 1387] Generated Node #3: [19, 1387] from Operation: 1456-69=1387 Current State: 73:[19, 1387], Operations: ['56*26=1456', '1456-69=1387'] Exploring Operation: 1387/19=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 93, 82, 90, 41 ]
44
[ "93+82=175", "90+41=131", "175-131=44" ]
Current State: 44:[93, 82, 90, 41], Operations: [] Exploring Operation: 93+82=175, Resulting Numbers: [90, 41, 175] Generated Node #2: [90, 41, 175] from Operation: 93+82=175 Current State: 44:[90, 41, 175], Operations: ['93+82=175'] Exploring Operation: 90+41=131, Resulting Numbers: [175, 131] Generated Node #3: [175, 131] from Operation: 90+41=131 Current State: 44:[175, 131], Operations: ['93+82=175', '90+41=131'] Exploring Operation: 175-131=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 3, 53, 62, 3 ]
62
[ "3-3=0", "53*0=0", "62+0=62" ]
Current State: 62:[3, 53, 62, 3], Operations: [] Exploring Operation: 3-3=0, Resulting Numbers: [53, 62, 0] Generated Node #2: [53, 62, 0] from Operation: 3-3=0 Current State: 62:[53, 62, 0], Operations: ['3-3=0'] Exploring Operation: 53*0=0, Resulting Numbers: [62, 0] Generated Node #3: [62, 0] from Operation: 53*0=0 Current State: 62:[62, 0], Operations: ['3-3=0', '53*0=0'] Exploring Operation: 62+0=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 11, 6, 50, 49 ]
55
[ "50-6=44", "49-44=5", "11*5=55" ]
Current State: 55:[11, 6, 50, 49], Operations: [] Exploring Operation: 50-6=44, Resulting Numbers: [11, 49, 44] Generated Node #2: [11, 49, 44] from Operation: 50-6=44 Current State: 55:[11, 49, 44], Operations: ['50-6=44'] Exploring Operation: 49-44=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 49-44=5 Current State: 55:[11, 5], Operations: ['50-6=44', '49-44=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 31, 7, 26, 42 ]
54
[ "31+7=38", "42-26=16", "38+16=54" ]
Current State: 54:[31, 7, 26, 42], Operations: [] Exploring Operation: 31+7=38, Resulting Numbers: [26, 42, 38] Generated Node #2: [26, 42, 38] from Operation: 31+7=38 Current State: 54:[26, 42, 38], Operations: ['31+7=38'] Exploring Operation: 42-26=16, Resulting Numbers: [38, 16] Generated Node #3: [38, 16] from Operation: 42-26=16 Current State: 54:[38, 16], Operations: ['31+7=38', '42-26=16'] Exploring Operation: 38+16=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 84, 21, 19, 19 ]
63
[ "84-21=63", "19-19=0", "63+0=63" ]
Current State: 63:[84, 21, 19, 19], Operations: [] Exploring Operation: 84-21=63, Resulting Numbers: [19, 19, 63] Generated Node #2: [19, 19, 63] from Operation: 84-21=63 Current State: 63:[19, 19, 63], Operations: ['84-21=63'] Exploring Operation: 19-19=0, Resulting Numbers: [63, 0] Generated Node #3: [63, 0] from Operation: 19-19=0 Current State: 63:[63, 0], Operations: ['84-21=63', '19-19=0'] Exploring Operation: 63+0=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 4, 77, 99, 14 ]
22
[ "99*14=1386", "1386/77=18", "4+18=22" ]
Current State: 22:[4, 77, 99, 14], Operations: [] Exploring Operation: 99*14=1386, Resulting Numbers: [4, 77, 1386] Generated Node #2: [4, 77, 1386] from Operation: 99*14=1386 Current State: 22:[4, 77, 1386], Operations: ['99*14=1386'] Exploring Operation: 1386/77=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 1386/77=18 Current State: 22:[4, 18], Operations: ['99*14=1386', '1386/77=18'] Exploring Operation: 4+18=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 86, 91, 7, 12 ]
86
[ "91/7=13", "13-12=1", "86*1=86" ]
Current State: 86:[86, 91, 7, 12], Operations: [] Exploring Operation: 91/7=13, Resulting Numbers: [86, 12, 13] Generated Node #2: [86, 12, 13] from Operation: 91/7=13 Current State: 86:[86, 12, 13], Operations: ['91/7=13'] Exploring Operation: 13-12=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 13-12=1 Current State: 86:[86, 1], Operations: ['91/7=13', '13-12=1'] Exploring Operation: 86*1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 79, 33, 97, 70 ]
85
[ "79+33=112", "97-70=27", "112-27=85" ]
Current State: 85:[79, 33, 97, 70], Operations: [] Exploring Operation: 79+33=112, Resulting Numbers: [97, 70, 112] Generated Node #2: [97, 70, 112] from Operation: 79+33=112 Current State: 85:[97, 70, 112], Operations: ['79+33=112'] Exploring Operation: 97-70=27, Resulting Numbers: [112, 27] Generated Node #3: [112, 27] from Operation: 97-70=27 Current State: 85:[112, 27], Operations: ['79+33=112', '97-70=27'] Exploring Operation: 112-27=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 77, 16, 23, 12 ]
50
[ "77-16=61", "23-12=11", "61-11=50" ]
Current State: 50:[77, 16, 23, 12], Operations: [] Exploring Operation: 77-16=61, Resulting Numbers: [23, 12, 61] Generated Node #2: [23, 12, 61] from Operation: 77-16=61 Current State: 50:[23, 12, 61], Operations: ['77-16=61'] Exploring Operation: 23-12=11, Resulting Numbers: [61, 11] Generated Node #3: [61, 11] from Operation: 23-12=11 Current State: 50:[61, 11], Operations: ['77-16=61', '23-12=11'] Exploring Operation: 61-11=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 23, 18, 92, 16 ]
35
[ "23+18=41", "92-16=76", "76-41=35" ]
Current State: 35:[23, 18, 92, 16], Operations: [] Exploring Operation: 23+18=41, Resulting Numbers: [92, 16, 41] Generated Node #2: [92, 16, 41] from Operation: 23+18=41 Current State: 35:[92, 16, 41], Operations: ['23+18=41'] Exploring Operation: 92-16=76, Resulting Numbers: [41, 76] Generated Node #3: [41, 76] from Operation: 92-16=76 Current State: 35:[41, 76], Operations: ['23+18=41', '92-16=76'] Exploring Operation: 76-41=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 15, 42, 63, 60 ]
60
[ "15+42=57", "63-60=3", "57+3=60" ]
Current State: 60:[15, 42, 63, 60], Operations: [] Exploring Operation: 15+42=57, Resulting Numbers: [63, 60, 57] Generated Node #2: [63, 60, 57] from Operation: 15+42=57 Current State: 60:[63, 60, 57], Operations: ['15+42=57'] Exploring Operation: 63-60=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 63-60=3 Current State: 60:[57, 3], Operations: ['15+42=57', '63-60=3'] Exploring Operation: 57+3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 5, 8, 63, 21 ]
82
[ "5*8=40", "63-21=42", "40+42=82" ]
Current State: 82:[5, 8, 63, 21], Operations: [] Exploring Operation: 5*8=40, Resulting Numbers: [63, 21, 40] Generated Node #2: [63, 21, 40] from Operation: 5*8=40 Current State: 82:[63, 21, 40], Operations: ['5*8=40'] Exploring Operation: 63-21=42, Resulting Numbers: [40, 42] Generated Node #3: [40, 42] from Operation: 63-21=42 Current State: 82:[40, 42], Operations: ['5*8=40', '63-21=42'] Exploring Operation: 40+42=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 62, 57, 16, 62 ]
57
[ "62-62=0", "16*0=0", "57+0=57" ]
Current State: 57:[62, 57, 16, 62], Operations: [] Exploring Operation: 62-62=0, Resulting Numbers: [57, 16, 0] Generated Node #2: [57, 16, 0] from Operation: 62-62=0 Current State: 57:[57, 16, 0], Operations: ['62-62=0'] Exploring Operation: 16*0=0, Resulting Numbers: [57, 0] Generated Node #3: [57, 0] from Operation: 16*0=0 Current State: 57:[57, 0], Operations: ['62-62=0', '16*0=0'] Exploring Operation: 57+0=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 90, 34, 37, 1 ]
94
[ "90-34=56", "37+1=38", "56+38=94" ]
Current State: 94:[90, 34, 37, 1], Operations: [] Exploring Operation: 90-34=56, Resulting Numbers: [37, 1, 56] Generated Node #2: [37, 1, 56] from Operation: 90-34=56 Current State: 94:[37, 1, 56], Operations: ['90-34=56'] Exploring Operation: 37+1=38, Resulting Numbers: [56, 38] Generated Node #3: [56, 38] from Operation: 37+1=38 Current State: 94:[56, 38], Operations: ['90-34=56', '37+1=38'] Exploring Operation: 56+38=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 28, 95, 40, 53 ]
30
[ "28+95=123", "40+53=93", "123-93=30" ]
Current State: 30:[28, 95, 40, 53], Operations: [] Exploring Operation: 28+95=123, Resulting Numbers: [40, 53, 123] Generated Node #2: [40, 53, 123] from Operation: 28+95=123 Current State: 30:[40, 53, 123], Operations: ['28+95=123'] Exploring Operation: 40+53=93, Resulting Numbers: [123, 93] Generated Node #3: [123, 93] from Operation: 40+53=93 Current State: 30:[123, 93], Operations: ['28+95=123', '40+53=93'] Exploring Operation: 123-93=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 7, 6, 18, 65 ]
41
[ "7*6=42", "18+65=83", "83-42=41" ]
Current State: 41:[7, 6, 18, 65], Operations: [] Exploring Operation: 7*6=42, Resulting Numbers: [18, 65, 42] Generated Node #2: [18, 65, 42] from Operation: 7*6=42 Current State: 41:[18, 65, 42], Operations: ['7*6=42'] Exploring Operation: 18+65=83, Resulting Numbers: [42, 83] Generated Node #3: [42, 83] from Operation: 18+65=83 Current State: 41:[42, 83], Operations: ['7*6=42', '18+65=83'] Exploring Operation: 83-42=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 11, 99, 65, 32 ]
24
[ "99/11=9", "65-32=33", "33-9=24" ]
Current State: 24:[11, 99, 65, 32], Operations: [] Exploring Operation: 99/11=9, Resulting Numbers: [65, 32, 9] Generated Node #2: [65, 32, 9] from Operation: 99/11=9 Current State: 24:[65, 32, 9], Operations: ['99/11=9'] Exploring Operation: 65-32=33, Resulting Numbers: [9, 33] Generated Node #3: [9, 33] from Operation: 65-32=33 Current State: 24:[9, 33], Operations: ['99/11=9', '65-32=33'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4