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
[ 96, 72, 35, 8 ]
67
[ "96-72=24", "35+8=43", "24+43=67" ]
Current State: 67:[96, 72, 35, 8], Operations: [] Exploring Operation: 96-72=24, Resulting Numbers: [35, 8, 24] Generated Node #2: [35, 8, 24] from Operation: 96-72=24 Current State: 67:[35, 8, 24], Operations: ['96-72=24'] Exploring Operation: 35+8=43, Resulting Numbers: [24, 43] Generated Node #3: [24, 43] from Operation: 35+8=43 Current State: 67:[24, 43], Operations: ['96-72=24', '35+8=43'] Exploring Operation: 24+43=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 14, 92, 49, 6 ]
23
[ "92-14=78", "49+6=55", "78-55=23" ]
Current State: 23:[14, 92, 49, 6], Operations: [] Exploring Operation: 92-14=78, Resulting Numbers: [49, 6, 78] Generated Node #2: [49, 6, 78] from Operation: 92-14=78 Current State: 23:[49, 6, 78], Operations: ['92-14=78'] Exploring Operation: 49+6=55, Resulting Numbers: [78, 55] Generated Node #3: [78, 55] from Operation: 49+6=55 Current State: 23:[78, 55], Operations: ['92-14=78', '49+6=55'] Exploring Operation: 78-55=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 6, 69, 10, 44 ]
74
[ "6+44=50", "50/10=5", "69+5=74" ]
Current State: 74:[6, 69, 10, 44], Operations: [] Exploring Operation: 6+44=50, Resulting Numbers: [69, 10, 50] Generated Node #2: [69, 10, 50] from Operation: 6+44=50 Current State: 74:[69, 10, 50], Operations: ['6+44=50'] Exploring Operation: 50/10=5, Resulting Numbers: [69, 5] Generated Node #3: [69, 5] from Operation: 50/10=5 Current State: 74:[69, 5], Operations: ['6+44=50', '50/10=5'] Exploring Operation: 69+5=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 52, 3, 84, 27 ]
69
[ "84-52=32", "3*32=96", "96-27=69" ]
Current State: 69:[52, 3, 84, 27], Operations: [] Exploring Operation: 84-52=32, Resulting Numbers: [3, 27, 32] Generated Node #2: [3, 27, 32] from Operation: 84-52=32 Current State: 69:[3, 27, 32], Operations: ['84-52=32'] Exploring Operation: 3*32=96, Resulting Numbers: [27, 96] Generated Node #3: [27, 96] from Operation: 3*32=96 Current State: 69:[27, 96], Operations: ['84-52=32', '3*32=96'] Exploring Operation: 96-27=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 46, 2, 25, 43 ]
10
[ "43-25=18", "2*18=36", "46-36=10" ]
Current State: 10:[46, 2, 25, 43], Operations: [] Exploring Operation: 43-25=18, Resulting Numbers: [46, 2, 18] Generated Node #2: [46, 2, 18] from Operation: 43-25=18 Current State: 10:[46, 2, 18], Operations: ['43-25=18'] Exploring Operation: 2*18=36, Resulting Numbers: [46, 36] Generated Node #3: [46, 36] from Operation: 2*18=36 Current State: 10:[46, 36], Operations: ['43-25=18', '2*18=36'] Exploring Operation: 46-36=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 52, 94, 5, 22 ]
25
[ "94-52=42", "22-5=17", "42-17=25" ]
Current State: 25:[52, 94, 5, 22], Operations: [] Exploring Operation: 94-52=42, Resulting Numbers: [5, 22, 42] Generated Node #2: [5, 22, 42] from Operation: 94-52=42 Current State: 25:[5, 22, 42], Operations: ['94-52=42'] Exploring Operation: 22-5=17, Resulting Numbers: [42, 17] Generated Node #3: [42, 17] from Operation: 22-5=17 Current State: 25:[42, 17], Operations: ['94-52=42', '22-5=17'] Exploring Operation: 42-17=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 21, 67, 35, 46 ]
57
[ "67-21=46", "46-35=11", "46+11=57" ]
Current State: 57:[21, 67, 35, 46], Operations: [] Exploring Operation: 67-21=46, Resulting Numbers: [35, 46, 46] Generated Node #2: [35, 46, 46] from Operation: 67-21=46 Current State: 57:[35, 46, 46], Operations: ['67-21=46'] Exploring Operation: 46-35=11, Resulting Numbers: [11] 11,57 equal: Goal Reached Exploring Operation: 46+11=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 51, 35, 88, 10 ]
62
[ "51-35=16", "88-10=78", "78-16=62" ]
Current State: 62:[51, 35, 88, 10], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [88, 10, 16] Generated Node #2: [88, 10, 16] from Operation: 51-35=16 Current State: 62:[88, 10, 16], Operations: ['51-35=16'] Exploring Operation: 88-10=78, Resulting Numbers: [16, 78] Generated Node #3: [16, 78] from Operation: 88-10=78 Current State: 62:[16, 78], Operations: ['51-35=16', '88-10=78'] Exploring Operation: 78-16=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 59, 31, 56, 6 ]
93
[ "59-56=3", "6-3=3", "31*3=93" ]
Current State: 93:[59, 31, 56, 6], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [31, 6, 3] Generated Node #2: [31, 6, 3] from Operation: 59-56=3 Current State: 93:[31, 6, 3], Operations: ['59-56=3'] Exploring Operation: 6-3=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 6-3=3 Current State: 93:[31, 3], Operations: ['59-56=3', '6-3=3'] Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 69, 81, 3, 2 ]
73
[ "69*2=138", "81+138=219", "219/3=73" ]
Current State: 73:[69, 81, 3, 2], Operations: [] Exploring Operation: 69*2=138, Resulting Numbers: [81, 3, 138] Generated Node #2: [81, 3, 138] from Operation: 69*2=138 Current State: 73:[81, 3, 138], Operations: ['69*2=138'] Exploring Operation: 81+138=219, Resulting Numbers: [3, 219] Generated Node #3: [3, 219] from Operation: 81+138=219 Current State: 73:[3, 219], Operations: ['69*2=138', '81+138=219'] Exploring Operation: 219/3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 14, 6, 5, 15 ]
46
[ "15-5=10", "6*10=60", "60-14=46" ]
Current State: 46:[14, 6, 5, 15], Operations: [] Exploring Operation: 15-5=10, Resulting Numbers: [14, 6, 10] Generated Node #2: [14, 6, 10] from Operation: 15-5=10 Current State: 46:[14, 6, 10], Operations: ['15-5=10'] Exploring Operation: 6*10=60, Resulting Numbers: [14, 60] Generated Node #3: [14, 60] from Operation: 6*10=60 Current State: 46:[14, 60], Operations: ['15-5=10', '6*10=60'] Exploring Operation: 60-14=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 47, 37, 44, 14 ]
26
[ "47+37=84", "44+14=58", "84-58=26" ]
Current State: 26:[47, 37, 44, 14], Operations: [] Exploring Operation: 47+37=84, Resulting Numbers: [44, 14, 84] Generated Node #2: [44, 14, 84] from Operation: 47+37=84 Current State: 26:[44, 14, 84], Operations: ['47+37=84'] Exploring Operation: 44+14=58, Resulting Numbers: [84, 58] Generated Node #3: [84, 58] from Operation: 44+14=58 Current State: 26:[84, 58], Operations: ['47+37=84', '44+14=58'] Exploring Operation: 84-58=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 10, 89, 93, 10 ]
50
[ "93-89=4", "10*4=40", "10+40=50" ]
Current State: 50:[10, 89, 93, 10], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [10, 10, 4] Generated Node #2: [10, 10, 4] from Operation: 93-89=4 Current State: 50:[10, 10, 4], Operations: ['93-89=4'] Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,50 equal: Goal Reached Exploring Operation: 10+40=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 68, 77, 63, 91 ]
98
[ "77-68=9", "63/9=7", "91+7=98" ]
Current State: 98:[68, 77, 63, 91], Operations: [] Exploring Operation: 77-68=9, Resulting Numbers: [63, 91, 9] Generated Node #2: [63, 91, 9] from Operation: 77-68=9 Current State: 98:[63, 91, 9], Operations: ['77-68=9'] Exploring Operation: 63/9=7, Resulting Numbers: [91, 7] Generated Node #3: [91, 7] from Operation: 63/9=7 Current State: 98:[91, 7], Operations: ['77-68=9', '63/9=7'] Exploring Operation: 91+7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 30, 40, 59, 8 ]
61
[ "40-30=10", "59-8=51", "10+51=61" ]
Current State: 61:[30, 40, 59, 8], Operations: [] Exploring Operation: 40-30=10, Resulting Numbers: [59, 8, 10] Generated Node #2: [59, 8, 10] from Operation: 40-30=10 Current State: 61:[59, 8, 10], Operations: ['40-30=10'] Exploring Operation: 59-8=51, Resulting Numbers: [10, 51] Generated Node #3: [10, 51] from Operation: 59-8=51 Current State: 61:[10, 51], Operations: ['40-30=10', '59-8=51'] Exploring Operation: 10+51=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 28, 42, 57, 48 ]
10
[ "28*57=1596", "1596/42=38", "48-38=10" ]
Current State: 10:[28, 42, 57, 48], Operations: [] Exploring Operation: 28*57=1596, Resulting Numbers: [42, 48, 1596] Generated Node #2: [42, 48, 1596] from Operation: 28*57=1596 Current State: 10:[42, 48, 1596], Operations: ['28*57=1596'] Exploring Operation: 1596/42=38, Resulting Numbers: [48, 38] Generated Node #3: [48, 38] from Operation: 1596/42=38 Current State: 10:[48, 38], Operations: ['28*57=1596', '1596/42=38'] Exploring Operation: 48-38=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 29, 6, 27, 81 ]
52
[ "29+81=110", "6*27=162", "162-110=52" ]
Current State: 52:[29, 6, 27, 81], Operations: [] Exploring Operation: 29+81=110, Resulting Numbers: [6, 27, 110] Generated Node #2: [6, 27, 110] from Operation: 29+81=110 Current State: 52:[6, 27, 110], Operations: ['29+81=110'] Exploring Operation: 6*27=162, Resulting Numbers: [110, 162] Generated Node #3: [110, 162] from Operation: 6*27=162 Current State: 52:[110, 162], Operations: ['29+81=110', '6*27=162'] Exploring Operation: 162-110=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 11, 83, 33, 46 ]
60
[ "46-33=13", "11*13=143", "143-83=60" ]
Current State: 60:[11, 83, 33, 46], Operations: [] Exploring Operation: 46-33=13, Resulting Numbers: [11, 83, 13] Generated Node #2: [11, 83, 13] from Operation: 46-33=13 Current State: 60:[11, 83, 13], Operations: ['46-33=13'] Exploring Operation: 11*13=143, Resulting Numbers: [83, 143] Generated Node #3: [83, 143] from Operation: 11*13=143 Current State: 60:[83, 143], Operations: ['46-33=13', '11*13=143'] Exploring Operation: 143-83=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 33, 85, 37, 61 ]
66
[ "85+37=122", "33*122=4026", "4026/61=66" ]
Current State: 66:[33, 85, 37, 61], Operations: [] Exploring Operation: 85+37=122, Resulting Numbers: [33, 61, 122] Generated Node #2: [33, 61, 122] from Operation: 85+37=122 Current State: 66:[33, 61, 122], Operations: ['85+37=122'] Exploring Operation: 33*122=4026, Resulting Numbers: [61, 4026] Generated Node #3: [61, 4026] from Operation: 33*122=4026 Current State: 66:[61, 4026], Operations: ['85+37=122', '33*122=4026'] Exploring Operation: 4026/61=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 21, 84, 78, 49 ]
42
[ "21*84=1764", "1764/49=36", "78-36=42" ]
Current State: 42:[21, 84, 78, 49], Operations: [] Exploring Operation: 21*84=1764, Resulting Numbers: [78, 49, 1764] Generated Node #2: [78, 49, 1764] from Operation: 21*84=1764 Current State: 42:[78, 49, 1764], Operations: ['21*84=1764'] Exploring Operation: 1764/49=36, Resulting Numbers: [78, 36] Generated Node #3: [78, 36] from Operation: 1764/49=36 Current State: 42:[78, 36], Operations: ['21*84=1764', '1764/49=36'] Exploring Operation: 78-36=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 92, 37, 80, 52 ]
27
[ "92-37=55", "80-52=28", "55-28=27" ]
Current State: 27:[92, 37, 80, 52], Operations: [] Exploring Operation: 92-37=55, Resulting Numbers: [80, 52, 55] Generated Node #2: [80, 52, 55] from Operation: 92-37=55 Current State: 27:[80, 52, 55], Operations: ['92-37=55'] Exploring Operation: 80-52=28, Resulting Numbers: [55, 28] Generated Node #3: [55, 28] from Operation: 80-52=28 Current State: 27:[55, 28], Operations: ['92-37=55', '80-52=28'] Exploring Operation: 55-28=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 23, 2, 8, 75 ]
56
[ "75-23=52", "8/2=4", "52+4=56" ]
Current State: 56:[23, 2, 8, 75], Operations: [] Exploring Operation: 75-23=52, Resulting Numbers: [2, 8, 52] Generated Node #2: [2, 8, 52] from Operation: 75-23=52 Current State: 56:[2, 8, 52], Operations: ['75-23=52'] Exploring Operation: 8/2=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 8/2=4 Current State: 56:[52, 4], Operations: ['75-23=52', '8/2=4'] Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 32, 82, 21, 56 ]
27
[ "82-32=50", "21+56=77", "77-50=27" ]
Current State: 27:[32, 82, 21, 56], Operations: [] Exploring Operation: 82-32=50, Resulting Numbers: [21, 56, 50] Generated Node #2: [21, 56, 50] from Operation: 82-32=50 Current State: 27:[21, 56, 50], Operations: ['82-32=50'] Exploring Operation: 21+56=77, Resulting Numbers: [50, 77] Generated Node #3: [50, 77] from Operation: 21+56=77 Current State: 27:[50, 77], Operations: ['82-32=50', '21+56=77'] Exploring Operation: 77-50=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 3, 65, 24, 31 ]
61
[ "3+65=68", "31-24=7", "68-7=61" ]
Current State: 61:[3, 65, 24, 31], Operations: [] Exploring Operation: 3+65=68, Resulting Numbers: [24, 31, 68] Generated Node #2: [24, 31, 68] from Operation: 3+65=68 Current State: 61:[24, 31, 68], Operations: ['3+65=68'] Exploring Operation: 31-24=7, Resulting Numbers: [68, 7] Generated Node #3: [68, 7] from Operation: 31-24=7 Current State: 61:[68, 7], Operations: ['3+65=68', '31-24=7'] Exploring Operation: 68-7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 47, 37, 94, 68 ]
71
[ "94/47=2", "68/2=34", "37+34=71" ]
Current State: 71:[47, 37, 94, 68], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [37, 68, 2] Generated Node #2: [37, 68, 2] from Operation: 94/47=2 Current State: 71:[37, 68, 2], Operations: ['94/47=2'] Exploring Operation: 68/2=34, Resulting Numbers: [37, 34] Generated Node #3: [37, 34] from Operation: 68/2=34 Current State: 71:[37, 34], Operations: ['94/47=2', '68/2=34'] Exploring Operation: 37+34=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 46, 63, 20, 68 ]
54
[ "68-63=5", "20*5=100", "100-46=54" ]
Current State: 54:[46, 63, 20, 68], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [46, 20, 5] Generated Node #2: [46, 20, 5] from Operation: 68-63=5 Current State: 54:[46, 20, 5], Operations: ['68-63=5'] Exploring Operation: 20*5=100, Resulting Numbers: [46, 100] Generated Node #3: [46, 100] from Operation: 20*5=100 Current State: 54:[46, 100], Operations: ['68-63=5', '20*5=100'] Exploring Operation: 100-46=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 53, 64, 3, 6 ]
99
[ "53+64=117", "3*6=18", "117-18=99" ]
Current State: 99:[53, 64, 3, 6], Operations: [] Exploring Operation: 53+64=117, Resulting Numbers: [3, 6, 117] Generated Node #2: [3, 6, 117] from Operation: 53+64=117 Current State: 99:[3, 6, 117], Operations: ['53+64=117'] Exploring Operation: 3*6=18, Resulting Numbers: [117, 18] Generated Node #3: [117, 18] from Operation: 3*6=18 Current State: 99:[117, 18], Operations: ['53+64=117', '3*6=18'] Exploring Operation: 117-18=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 14, 58, 30, 6 ]
87
[ "14+6=20", "58*30=1740", "1740/20=87" ]
Current State: 87:[14, 58, 30, 6], Operations: [] Exploring Operation: 14+6=20, Resulting Numbers: [58, 30, 20] Generated Node #2: [58, 30, 20] from Operation: 14+6=20 Current State: 87:[58, 30, 20], Operations: ['14+6=20'] Exploring Operation: 58*30=1740, Resulting Numbers: [20, 1740] Generated Node #3: [20, 1740] from Operation: 58*30=1740 Current State: 87:[20, 1740], Operations: ['14+6=20', '58*30=1740'] Exploring Operation: 1740/20=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 9, 66, 16, 17 ]
64
[ "17-9=8", "16/8=2", "66-2=64" ]
Current State: 64:[9, 66, 16, 17], Operations: [] Exploring Operation: 17-9=8, Resulting Numbers: [66, 16, 8] Generated Node #2: [66, 16, 8] from Operation: 17-9=8 Current State: 64:[66, 16, 8], Operations: ['17-9=8'] Exploring Operation: 16/8=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 16/8=2 Current State: 64:[66, 2], Operations: ['17-9=8', '16/8=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 47, 2, 26, 77 ]
69
[ "47+26=73", "2*73=146", "146-77=69" ]
Current State: 69:[47, 2, 26, 77], Operations: [] Exploring Operation: 47+26=73, Resulting Numbers: [2, 77, 73] Generated Node #2: [2, 77, 73] from Operation: 47+26=73 Current State: 69:[2, 77, 73], Operations: ['47+26=73'] Exploring Operation: 2*73=146, Resulting Numbers: [77, 146] Generated Node #3: [77, 146] from Operation: 2*73=146 Current State: 69:[77, 146], Operations: ['47+26=73', '2*73=146'] Exploring Operation: 146-77=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 92, 51, 89, 64 ]
39
[ "92-89=3", "64-51=13", "3*13=39" ]
Current State: 39:[92, 51, 89, 64], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [51, 64, 3] Generated Node #2: [51, 64, 3] from Operation: 92-89=3 Current State: 39:[51, 64, 3], Operations: ['92-89=3'] Exploring Operation: 64-51=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 64-51=13 Current State: 39:[3, 13], Operations: ['92-89=3', '64-51=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 30, 51, 11, 30 ]
63
[ "30/30=1", "51+11=62", "1+62=63" ]
Current State: 63:[30, 51, 11, 30], Operations: [] Exploring Operation: 30/30=1, Resulting Numbers: [51, 11, 1] Generated Node #2: [51, 11, 1] from Operation: 30/30=1 Current State: 63:[51, 11, 1], Operations: ['30/30=1'] Exploring Operation: 51+11=62, Resulting Numbers: [1, 62] Generated Node #3: [1, 62] from Operation: 51+11=62 Current State: 63:[1, 62], Operations: ['30/30=1', '51+11=62'] Exploring Operation: 1+62=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 92, 7, 97, 3 ]
70
[ "92+97=189", "189/3=63", "7+63=70" ]
Current State: 70:[92, 7, 97, 3], Operations: [] Exploring Operation: 92+97=189, Resulting Numbers: [7, 3, 189] Generated Node #2: [7, 3, 189] from Operation: 92+97=189 Current State: 70:[7, 3, 189], Operations: ['92+97=189'] Exploring Operation: 189/3=63, Resulting Numbers: [7, 63] Generated Node #3: [7, 63] from Operation: 189/3=63 Current State: 70:[7, 63], Operations: ['92+97=189', '189/3=63'] Exploring Operation: 7+63=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 71, 30, 11, 46 ]
92
[ "71-11=60", "60/30=2", "46*2=92" ]
Current State: 92:[71, 30, 11, 46], Operations: [] Exploring Operation: 71-11=60, Resulting Numbers: [30, 46, 60] Generated Node #2: [30, 46, 60] from Operation: 71-11=60 Current State: 92:[30, 46, 60], Operations: ['71-11=60'] Exploring Operation: 60/30=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 60/30=2 Current State: 92:[46, 2], Operations: ['71-11=60', '60/30=2'] Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 44, 35, 97, 13 ]
39
[ "35+97=132", "132/44=3", "13*3=39" ]
Current State: 39:[44, 35, 97, 13], Operations: [] Exploring Operation: 35+97=132, Resulting Numbers: [44, 13, 132] Generated Node #2: [44, 13, 132] from Operation: 35+97=132 Current State: 39:[44, 13, 132], Operations: ['35+97=132'] Exploring Operation: 132/44=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 132/44=3 Current State: 39:[13, 3], Operations: ['35+97=132', '132/44=3'] Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 56, 80, 14, 35 ]
41
[ "56/14=4", "80-35=45", "45-4=41" ]
Current State: 41:[56, 80, 14, 35], Operations: [] Exploring Operation: 56/14=4, Resulting Numbers: [80, 35, 4] Generated Node #2: [80, 35, 4] from Operation: 56/14=4 Current State: 41:[80, 35, 4], Operations: ['56/14=4'] Exploring Operation: 80-35=45, Resulting Numbers: [4, 45] Generated Node #3: [4, 45] from Operation: 80-35=45 Current State: 41:[4, 45], Operations: ['56/14=4', '80-35=45'] Exploring Operation: 45-4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 71, 78, 2, 64 ]
39
[ "78-71=7", "64/2=32", "7+32=39" ]
Current State: 39:[71, 78, 2, 64], Operations: [] Exploring Operation: 78-71=7, Resulting Numbers: [2, 64, 7] Generated Node #2: [2, 64, 7] from Operation: 78-71=7 Current State: 39:[2, 64, 7], Operations: ['78-71=7'] Exploring Operation: 64/2=32, Resulting Numbers: [7, 32] Generated Node #3: [7, 32] from Operation: 64/2=32 Current State: 39:[7, 32], Operations: ['78-71=7', '64/2=32'] Exploring Operation: 7+32=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 61, 10, 36, 9 ]
78
[ "61-10=51", "36-9=27", "51+27=78" ]
Current State: 78:[61, 10, 36, 9], Operations: [] Exploring Operation: 61-10=51, Resulting Numbers: [36, 9, 51] Generated Node #2: [36, 9, 51] from Operation: 61-10=51 Current State: 78:[36, 9, 51], Operations: ['61-10=51'] Exploring Operation: 36-9=27, Resulting Numbers: [51, 27] Generated Node #3: [51, 27] from Operation: 36-9=27 Current State: 78:[51, 27], Operations: ['61-10=51', '36-9=27'] Exploring Operation: 51+27=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 89, 3, 81, 10 ]
14
[ "89+81=170", "170/10=17", "17-3=14" ]
Current State: 14:[89, 3, 81, 10], Operations: [] Exploring Operation: 89+81=170, Resulting Numbers: [3, 10, 170] Generated Node #2: [3, 10, 170] from Operation: 89+81=170 Current State: 14:[3, 10, 170], Operations: ['89+81=170'] Exploring Operation: 170/10=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 170/10=17 Current State: 14:[3, 17], Operations: ['89+81=170', '170/10=17'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 65, 11, 42, 53 ]
19
[ "65+11=76", "42+53=95", "95-76=19" ]
Current State: 19:[65, 11, 42, 53], Operations: [] Exploring Operation: 65+11=76, Resulting Numbers: [42, 53, 76] Generated Node #2: [42, 53, 76] from Operation: 65+11=76 Current State: 19:[42, 53, 76], Operations: ['65+11=76'] Exploring Operation: 42+53=95, Resulting Numbers: [76, 95] Generated Node #3: [76, 95] from Operation: 42+53=95 Current State: 19:[76, 95], Operations: ['65+11=76', '42+53=95'] Exploring Operation: 95-76=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 60, 42, 2, 48 ]
84
[ "60-42=18", "2*18=36", "48+36=84" ]
Current State: 84:[60, 42, 2, 48], Operations: [] Exploring Operation: 60-42=18, Resulting Numbers: [2, 48, 18] Generated Node #2: [2, 48, 18] from Operation: 60-42=18 Current State: 84:[2, 48, 18], Operations: ['60-42=18'] Exploring Operation: 2*18=36, Resulting Numbers: [48, 36] Generated Node #3: [48, 36] from Operation: 2*18=36 Current State: 84:[48, 36], Operations: ['60-42=18', '2*18=36'] Exploring Operation: 48+36=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 85, 3, 34, 9 ]
45
[ "85+3=88", "34+9=43", "88-43=45" ]
Current State: 45:[85, 3, 34, 9], Operations: [] Exploring Operation: 85+3=88, Resulting Numbers: [34, 9, 88] Generated Node #2: [34, 9, 88] from Operation: 85+3=88 Current State: 45:[34, 9, 88], Operations: ['85+3=88'] Exploring Operation: 34+9=43, Resulting Numbers: [88, 43] Generated Node #3: [88, 43] from Operation: 34+9=43 Current State: 45:[88, 43], Operations: ['85+3=88', '34+9=43'] Exploring Operation: 88-43=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 52, 60, 87, 64 ]
79
[ "60-52=8", "64/8=8", "87-8=79" ]
Current State: 79:[52, 60, 87, 64], Operations: [] Exploring Operation: 60-52=8, Resulting Numbers: [87, 64, 8] Generated Node #2: [87, 64, 8] from Operation: 60-52=8 Current State: 79:[87, 64, 8], Operations: ['60-52=8'] Exploring Operation: 64/8=8, Resulting Numbers: [87, 8] Generated Node #3: [87, 8] from Operation: 64/8=8 Current State: 79:[87, 8], Operations: ['60-52=8', '64/8=8'] Exploring Operation: 87-8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 95, 57, 41, 8 ]
60
[ "95+57=152", "152/8=19", "41+19=60" ]
Current State: 60:[95, 57, 41, 8], Operations: [] Exploring Operation: 95+57=152, Resulting Numbers: [41, 8, 152] Generated Node #2: [41, 8, 152] from Operation: 95+57=152 Current State: 60:[41, 8, 152], Operations: ['95+57=152'] Exploring Operation: 152/8=19, Resulting Numbers: [41, 19] Generated Node #3: [41, 19] from Operation: 152/8=19 Current State: 60:[41, 19], Operations: ['95+57=152', '152/8=19'] Exploring Operation: 41+19=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 13, 80, 81, 83 ]
96
[ "13+83=96", "81-80=1", "96*1=96" ]
Current State: 96:[13, 80, 81, 83], Operations: [] Exploring Operation: 13+83=96, Resulting Numbers: [80, 81, 96] Generated Node #2: [80, 81, 96] from Operation: 13+83=96 Current State: 96:[80, 81, 96], Operations: ['13+83=96'] Exploring Operation: 81-80=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 81-80=1 Current State: 96:[96, 1], Operations: ['13+83=96', '81-80=1'] Exploring Operation: 96*1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 76, 95, 4, 1 ]
100
[ "95+1=96", "96/4=24", "76+24=100" ]
Current State: 100:[76, 95, 4, 1], Operations: [] Exploring Operation: 95+1=96, Resulting Numbers: [76, 4, 96] Generated Node #2: [76, 4, 96] from Operation: 95+1=96 Current State: 100:[76, 4, 96], Operations: ['95+1=96'] Exploring Operation: 96/4=24, Resulting Numbers: [76, 24] Generated Node #3: [76, 24] from Operation: 96/4=24 Current State: 100:[76, 24], Operations: ['95+1=96', '96/4=24'] Exploring Operation: 76+24=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 34, 90, 17, 63 ]
18
[ "34/17=2", "90/2=45", "63-45=18" ]
Current State: 18:[34, 90, 17, 63], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [90, 63, 2] Generated Node #2: [90, 63, 2] from Operation: 34/17=2 Current State: 18:[90, 63, 2], Operations: ['34/17=2'] Exploring Operation: 90/2=45, Resulting Numbers: [63, 45] Generated Node #3: [63, 45] from Operation: 90/2=45 Current State: 18:[63, 45], Operations: ['34/17=2', '90/2=45'] Exploring Operation: 63-45=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 91, 48, 22, 10 ]
87
[ "22-10=12", "48/12=4", "91-4=87" ]
Current State: 87:[91, 48, 22, 10], Operations: [] Exploring Operation: 22-10=12, Resulting Numbers: [91, 48, 12] Generated Node #2: [91, 48, 12] from Operation: 22-10=12 Current State: 87:[91, 48, 12], Operations: ['22-10=12'] Exploring Operation: 48/12=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 48/12=4 Current State: 87:[91, 4], Operations: ['22-10=12', '48/12=4'] Exploring Operation: 91-4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 65, 64, 74, 4 ]
59
[ "65+64=129", "74-4=70", "129-70=59" ]
Current State: 59:[65, 64, 74, 4], Operations: [] Exploring Operation: 65+64=129, Resulting Numbers: [74, 4, 129] Generated Node #2: [74, 4, 129] from Operation: 65+64=129 Current State: 59:[74, 4, 129], Operations: ['65+64=129'] Exploring Operation: 74-4=70, Resulting Numbers: [129, 70] Generated Node #3: [129, 70] from Operation: 74-4=70 Current State: 59:[129, 70], Operations: ['65+64=129', '74-4=70'] Exploring Operation: 129-70=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 85, 3, 49, 87 ]
41
[ "85-49=36", "87+36=123", "123/3=41" ]
Current State: 41:[85, 3, 49, 87], Operations: [] Exploring Operation: 85-49=36, Resulting Numbers: [3, 87, 36] Generated Node #2: [3, 87, 36] from Operation: 85-49=36 Current State: 41:[3, 87, 36], Operations: ['85-49=36'] Exploring Operation: 87+36=123, Resulting Numbers: [3, 123] Generated Node #3: [3, 123] from Operation: 87+36=123 Current State: 41:[3, 123], Operations: ['85-49=36', '87+36=123'] Exploring Operation: 123/3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 32, 87, 29, 62 ]
97
[ "32+62=94", "87/29=3", "94+3=97" ]
Current State: 97:[32, 87, 29, 62], Operations: [] Exploring Operation: 32+62=94, Resulting Numbers: [87, 29, 94] Generated Node #2: [87, 29, 94] from Operation: 32+62=94 Current State: 97:[87, 29, 94], Operations: ['32+62=94'] Exploring Operation: 87/29=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 87/29=3 Current State: 97:[94, 3], Operations: ['32+62=94', '87/29=3'] Exploring Operation: 94+3=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 28, 56, 79, 8 ]
58
[ "79-28=51", "56/8=7", "51+7=58" ]
Current State: 58:[28, 56, 79, 8], Operations: [] Exploring Operation: 79-28=51, Resulting Numbers: [56, 8, 51] Generated Node #2: [56, 8, 51] from Operation: 79-28=51 Current State: 58:[56, 8, 51], Operations: ['79-28=51'] Exploring Operation: 56/8=7, Resulting Numbers: [51, 7] Generated Node #3: [51, 7] from Operation: 56/8=7 Current State: 58:[51, 7], Operations: ['79-28=51', '56/8=7'] Exploring Operation: 51+7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 94, 20, 35, 77 ]
38
[ "94-20=74", "35+77=112", "112-74=38" ]
Current State: 38:[94, 20, 35, 77], Operations: [] Exploring Operation: 94-20=74, Resulting Numbers: [35, 77, 74] Generated Node #2: [35, 77, 74] from Operation: 94-20=74 Current State: 38:[35, 77, 74], Operations: ['94-20=74'] Exploring Operation: 35+77=112, Resulting Numbers: [74, 112] Generated Node #3: [74, 112] from Operation: 35+77=112 Current State: 38:[74, 112], Operations: ['94-20=74', '35+77=112'] Exploring Operation: 112-74=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 21, 4, 49, 95 ]
39
[ "95-4=91", "21*91=1911", "1911/49=39" ]
Current State: 39:[21, 4, 49, 95], Operations: [] Exploring Operation: 95-4=91, Resulting Numbers: [21, 49, 91] Generated Node #2: [21, 49, 91] from Operation: 95-4=91 Current State: 39:[21, 49, 91], Operations: ['95-4=91'] Exploring Operation: 21*91=1911, Resulting Numbers: [49, 1911] Generated Node #3: [49, 1911] from Operation: 21*91=1911 Current State: 39:[49, 1911], Operations: ['95-4=91', '21*91=1911'] Exploring Operation: 1911/49=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 85, 90, 30, 15 ]
80
[ "85*30=2550", "2550/15=170", "170-90=80" ]
Current State: 80:[85, 90, 30, 15], Operations: [] Exploring Operation: 85*30=2550, Resulting Numbers: [90, 15, 2550] Generated Node #2: [90, 15, 2550] from Operation: 85*30=2550 Current State: 80:[90, 15, 2550], Operations: ['85*30=2550'] Exploring Operation: 2550/15=170, Resulting Numbers: [90, 170] Generated Node #3: [90, 170] from Operation: 2550/15=170 Current State: 80:[90, 170], Operations: ['85*30=2550', '2550/15=170'] Exploring Operation: 170-90=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 4, 24, 98, 63 ]
44
[ "98-24=74", "74-63=11", "4*11=44" ]
Current State: 44:[4, 24, 98, 63], Operations: [] Exploring Operation: 98-24=74, Resulting Numbers: [4, 63, 74] Generated Node #2: [4, 63, 74] from Operation: 98-24=74 Current State: 44:[4, 63, 74], Operations: ['98-24=74'] Exploring Operation: 74-63=11, Resulting Numbers: [4, 11] Generated Node #3: [4, 11] from Operation: 74-63=11 Current State: 44:[4, 11], Operations: ['98-24=74', '74-63=11'] Exploring Operation: 4*11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 81, 93, 13, 33 ]
33
[ "93-81=12", "13-12=1", "33*1=33" ]
Current State: 33:[81, 93, 13, 33], Operations: [] Exploring Operation: 93-81=12, Resulting Numbers: [13, 33, 12] Generated Node #2: [13, 33, 12] from Operation: 93-81=12 Current State: 33:[13, 33, 12], Operations: ['93-81=12'] Exploring Operation: 13-12=1, Resulting Numbers: [33, 1] Generated Node #3: [33, 1] from Operation: 13-12=1 Current State: 33:[33, 1], Operations: ['93-81=12', '13-12=1'] Exploring Operation: 33*1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 9, 73, 51, 44 ]
31
[ "73-9=64", "51+44=95", "95-64=31" ]
Current State: 31:[9, 73, 51, 44], Operations: [] Exploring Operation: 73-9=64, Resulting Numbers: [51, 44, 64] Generated Node #2: [51, 44, 64] from Operation: 73-9=64 Current State: 31:[51, 44, 64], Operations: ['73-9=64'] Exploring Operation: 51+44=95, Resulting Numbers: [64, 95] Generated Node #3: [64, 95] from Operation: 51+44=95 Current State: 31:[64, 95], Operations: ['73-9=64', '51+44=95'] Exploring Operation: 95-64=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 50, 93, 45, 22 ]
24
[ "93-50=43", "45+22=67", "67-43=24" ]
Current State: 24:[50, 93, 45, 22], Operations: [] Exploring Operation: 93-50=43, Resulting Numbers: [45, 22, 43] Generated Node #2: [45, 22, 43] from Operation: 93-50=43 Current State: 24:[45, 22, 43], Operations: ['93-50=43'] Exploring Operation: 45+22=67, Resulting Numbers: [43, 67] Generated Node #3: [43, 67] from Operation: 45+22=67 Current State: 24:[43, 67], Operations: ['93-50=43', '45+22=67'] Exploring Operation: 67-43=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 92, 91, 6, 93 ]
46
[ "92+91=183", "93+183=276", "276/6=46" ]
Current State: 46:[92, 91, 6, 93], Operations: [] Exploring Operation: 92+91=183, Resulting Numbers: [6, 93, 183] Generated Node #2: [6, 93, 183] from Operation: 92+91=183 Current State: 46:[6, 93, 183], Operations: ['92+91=183'] Exploring Operation: 93+183=276, Resulting Numbers: [6, 276] Generated Node #3: [6, 276] from Operation: 93+183=276 Current State: 46:[6, 276], Operations: ['92+91=183', '93+183=276'] Exploring Operation: 276/6=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 48, 3, 68, 8 ]
84
[ "48*3=144", "68-8=60", "144-60=84" ]
Current State: 84:[48, 3, 68, 8], Operations: [] Exploring Operation: 48*3=144, Resulting Numbers: [68, 8, 144] Generated Node #2: [68, 8, 144] from Operation: 48*3=144 Current State: 84:[68, 8, 144], Operations: ['48*3=144'] Exploring Operation: 68-8=60, Resulting Numbers: [144, 60] Generated Node #3: [144, 60] from Operation: 68-8=60 Current State: 84:[144, 60], Operations: ['48*3=144', '68-8=60'] Exploring Operation: 144-60=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 42, 72, 53, 54 ]
59
[ "54-42=12", "72/12=6", "53+6=59" ]
Current State: 59:[42, 72, 53, 54], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [72, 53, 12] Generated Node #2: [72, 53, 12] from Operation: 54-42=12 Current State: 59:[72, 53, 12], Operations: ['54-42=12'] Exploring Operation: 72/12=6, Resulting Numbers: [53, 6] Generated Node #3: [53, 6] from Operation: 72/12=6 Current State: 59:[53, 6], Operations: ['54-42=12', '72/12=6'] Exploring Operation: 53+6=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 36, 3, 15, 90 ]
12
[ "90/15=6", "6-3=3", "36/3=12" ]
Current State: 12:[36, 3, 15, 90], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [36, 3, 6] Generated Node #2: [36, 3, 6] from Operation: 90/15=6 Current State: 12:[36, 3, 6], Operations: ['90/15=6'] Exploring Operation: 6-3=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 6-3=3 Current State: 12:[36, 3], Operations: ['90/15=6', '6-3=3'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 16, 25, 34, 93 ]
100
[ "16+25=41", "93-34=59", "41+59=100" ]
Current State: 100:[16, 25, 34, 93], Operations: [] Exploring Operation: 16+25=41, Resulting Numbers: [34, 93, 41] Generated Node #2: [34, 93, 41] from Operation: 16+25=41 Current State: 100:[34, 93, 41], Operations: ['16+25=41'] Exploring Operation: 93-34=59, Resulting Numbers: [41, 59] Generated Node #3: [41, 59] from Operation: 93-34=59 Current State: 100:[41, 59], Operations: ['16+25=41', '93-34=59'] Exploring Operation: 41+59=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 48, 2, 36, 98 ]
55
[ "48-36=12", "98+12=110", "110/2=55" ]
Current State: 55:[48, 2, 36, 98], Operations: [] Exploring Operation: 48-36=12, Resulting Numbers: [2, 98, 12] Generated Node #2: [2, 98, 12] from Operation: 48-36=12 Current State: 55:[2, 98, 12], Operations: ['48-36=12'] Exploring Operation: 98+12=110, Resulting Numbers: [2, 110] Generated Node #3: [2, 110] from Operation: 98+12=110 Current State: 55:[2, 110], Operations: ['48-36=12', '98+12=110'] Exploring Operation: 110/2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 12, 24, 52, 2 ]
38
[ "24-12=12", "52-2=50", "50-12=38" ]
Current State: 38:[12, 24, 52, 2], Operations: [] Exploring Operation: 24-12=12, Resulting Numbers: [52, 2, 12] Generated Node #2: [52, 2, 12] from Operation: 24-12=12 Current State: 38:[52, 2, 12], Operations: ['24-12=12'] Exploring Operation: 52-2=50, Resulting Numbers: [12, 50] Generated Node #3: [12, 50] from Operation: 52-2=50 Current State: 38:[12, 50], Operations: ['24-12=12', '52-2=50'] Exploring Operation: 50-12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 17, 6, 27, 35 ]
30
[ "35-17=18", "18/6=3", "27+3=30" ]
Current State: 30:[17, 6, 27, 35], Operations: [] Exploring Operation: 35-17=18, Resulting Numbers: [6, 27, 18] Generated Node #2: [6, 27, 18] from Operation: 35-17=18 Current State: 30:[6, 27, 18], Operations: ['35-17=18'] Exploring Operation: 18/6=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 18/6=3 Current State: 30:[27, 3], Operations: ['35-17=18', '18/6=3'] Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 67, 50, 37, 98 ]
71
[ "50+98=148", "148/37=4", "67+4=71" ]
Current State: 71:[67, 50, 37, 98], Operations: [] Exploring Operation: 50+98=148, Resulting Numbers: [67, 37, 148] Generated Node #2: [67, 37, 148] from Operation: 50+98=148 Current State: 71:[67, 37, 148], Operations: ['50+98=148'] Exploring Operation: 148/37=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 148/37=4 Current State: 71:[67, 4], Operations: ['50+98=148', '148/37=4'] Exploring Operation: 67+4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 12, 25, 8, 24 ]
31
[ "12-8=4", "24/4=6", "25+6=31" ]
Current State: 31:[12, 25, 8, 24], Operations: [] Exploring Operation: 12-8=4, Resulting Numbers: [25, 24, 4] Generated Node #2: [25, 24, 4] from Operation: 12-8=4 Current State: 31:[25, 24, 4], Operations: ['12-8=4'] Exploring Operation: 24/4=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 24/4=6 Current State: 31:[25, 6], Operations: ['12-8=4', '24/4=6'] Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 74, 14, 47, 94 ]
53
[ "74+14=88", "47+94=141", "141-88=53" ]
Current State: 53:[74, 14, 47, 94], Operations: [] Exploring Operation: 74+14=88, Resulting Numbers: [47, 94, 88] Generated Node #2: [47, 94, 88] from Operation: 74+14=88 Current State: 53:[47, 94, 88], Operations: ['74+14=88'] Exploring Operation: 47+94=141, Resulting Numbers: [88, 141] Generated Node #3: [88, 141] from Operation: 47+94=141 Current State: 53:[88, 141], Operations: ['74+14=88', '47+94=141'] Exploring Operation: 141-88=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 13, 68, 91, 47 ]
57
[ "13+68=81", "91+47=138", "138-81=57" ]
Current State: 57:[13, 68, 91, 47], Operations: [] Exploring Operation: 13+68=81, Resulting Numbers: [91, 47, 81] Generated Node #2: [91, 47, 81] from Operation: 13+68=81 Current State: 57:[91, 47, 81], Operations: ['13+68=81'] Exploring Operation: 91+47=138, Resulting Numbers: [81, 138] Generated Node #3: [81, 138] from Operation: 91+47=138 Current State: 57:[81, 138], Operations: ['13+68=81', '91+47=138'] Exploring Operation: 138-81=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 91, 37, 56, 37 ]
36
[ "91-56=35", "37/37=1", "35+1=36" ]
Current State: 36:[91, 37, 56, 37], Operations: [] Exploring Operation: 91-56=35, Resulting Numbers: [37, 37, 35] Generated Node #2: [37, 37, 35] from Operation: 91-56=35 Current State: 36:[37, 37, 35], Operations: ['91-56=35'] Exploring Operation: 37/37=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 37/37=1 Current State: 36:[35, 1], Operations: ['91-56=35', '37/37=1'] Exploring Operation: 35+1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 1, 66, 36, 40 ]
11
[ "66-1=65", "36+40=76", "76-65=11" ]
Current State: 11:[1, 66, 36, 40], Operations: [] Exploring Operation: 66-1=65, Resulting Numbers: [36, 40, 65] Generated Node #2: [36, 40, 65] from Operation: 66-1=65 Current State: 11:[36, 40, 65], Operations: ['66-1=65'] Exploring Operation: 36+40=76, Resulting Numbers: [65, 76] Generated Node #3: [65, 76] from Operation: 36+40=76 Current State: 11:[65, 76], Operations: ['66-1=65', '36+40=76'] Exploring Operation: 76-65=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 31, 21, 7, 9 ]
19
[ "31-9=22", "21/7=3", "22-3=19" ]
Current State: 19:[31, 21, 7, 9], Operations: [] Exploring Operation: 31-9=22, Resulting Numbers: [21, 7, 22] Generated Node #2: [21, 7, 22] from Operation: 31-9=22 Current State: 19:[21, 7, 22], Operations: ['31-9=22'] Exploring Operation: 21/7=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 21/7=3 Current State: 19:[22, 3], Operations: ['31-9=22', '21/7=3'] Exploring Operation: 22-3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 6, 4, 79, 56 ]
46
[ "6-4=2", "79-56=23", "2*23=46" ]
Current State: 46:[6, 4, 79, 56], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [79, 56, 2] Generated Node #2: [79, 56, 2] from Operation: 6-4=2 Current State: 46:[79, 56, 2], Operations: ['6-4=2'] Exploring Operation: 79-56=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 79-56=23 Current State: 46:[2, 23], Operations: ['6-4=2', '79-56=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 45, 48, 2, 84 ]
90
[ "48-45=3", "2*3=6", "84+6=90" ]
Current State: 90:[45, 48, 2, 84], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [2, 84, 3] Generated Node #2: [2, 84, 3] from Operation: 48-45=3 Current State: 90:[2, 84, 3], Operations: ['48-45=3'] Exploring Operation: 2*3=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 2*3=6 Current State: 90:[84, 6], Operations: ['48-45=3', '2*3=6'] Exploring Operation: 84+6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 57, 93, 3, 63 ]
33
[ "93-57=36", "63+36=99", "99/3=33" ]
Current State: 33:[57, 93, 3, 63], Operations: [] Exploring Operation: 93-57=36, Resulting Numbers: [3, 63, 36] Generated Node #2: [3, 63, 36] from Operation: 93-57=36 Current State: 33:[3, 63, 36], Operations: ['93-57=36'] Exploring Operation: 63+36=99, Resulting Numbers: [3, 99] Generated Node #3: [3, 99] from Operation: 63+36=99 Current State: 33:[3, 99], Operations: ['93-57=36', '63+36=99'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 53, 45, 48, 6 ]
46
[ "53-45=8", "48+6=54", "54-8=46" ]
Current State: 46:[53, 45, 48, 6], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [48, 6, 8] Generated Node #2: [48, 6, 8] from Operation: 53-45=8 Current State: 46:[48, 6, 8], Operations: ['53-45=8'] Exploring Operation: 48+6=54, Resulting Numbers: [8, 54] Generated Node #3: [8, 54] from Operation: 48+6=54 Current State: 46:[8, 54], Operations: ['53-45=8', '48+6=54'] Exploring Operation: 54-8=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 27, 77, 73, 61 ]
47
[ "77-73=4", "27*4=108", "108-61=47" ]
Current State: 47:[27, 77, 73, 61], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [27, 61, 4] Generated Node #2: [27, 61, 4] from Operation: 77-73=4 Current State: 47:[27, 61, 4], Operations: ['77-73=4'] Exploring Operation: 27*4=108, Resulting Numbers: [61, 108] Generated Node #3: [61, 108] from Operation: 27*4=108 Current State: 47:[61, 108], Operations: ['77-73=4', '27*4=108'] Exploring Operation: 108-61=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 2, 47, 56, 39 ]
87
[ "2*39=78", "56-47=9", "78+9=87" ]
Current State: 87:[2, 47, 56, 39], Operations: [] Exploring Operation: 2*39=78, Resulting Numbers: [47, 56, 78] Generated Node #2: [47, 56, 78] from Operation: 2*39=78 Current State: 87:[47, 56, 78], Operations: ['2*39=78'] Exploring Operation: 56-47=9, Resulting Numbers: [78, 9] Generated Node #3: [78, 9] from Operation: 56-47=9 Current State: 87:[78, 9], Operations: ['2*39=78', '56-47=9'] Exploring Operation: 78+9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 30, 36, 66, 67 ]
67
[ "30+36=66", "66+67=133", "133-66=67" ]
Current State: 67:[30, 36, 66, 67], Operations: [] Exploring Operation: 30+36=66, Resulting Numbers: [66, 67, 66] Generated Node #2: [66, 67, 66] from Operation: 30+36=66 Current State: 67:[66, 67, 66], Operations: ['30+36=66'] Exploring Operation: 66+67=133, Resulting Numbers: [133] 133,67 equal: Goal Reached Exploring Operation: 133-66=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 25, 23, 55, 52 ]
58
[ "25-23=2", "55*2=110", "110-52=58" ]
Current State: 58:[25, 23, 55, 52], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [55, 52, 2] Generated Node #2: [55, 52, 2] from Operation: 25-23=2 Current State: 58:[55, 52, 2], Operations: ['25-23=2'] Exploring Operation: 55*2=110, Resulting Numbers: [52, 110] Generated Node #3: [52, 110] from Operation: 55*2=110 Current State: 58:[52, 110], Operations: ['25-23=2', '55*2=110'] Exploring Operation: 110-52=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 80, 76, 1, 12 ]
17
[ "80-76=4", "1+12=13", "4+13=17" ]
Current State: 17:[80, 76, 1, 12], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [1, 12, 4] Generated Node #2: [1, 12, 4] from Operation: 80-76=4 Current State: 17:[1, 12, 4], Operations: ['80-76=4'] Exploring Operation: 1+12=13, Resulting Numbers: [4, 13] Generated Node #3: [4, 13] from Operation: 1+12=13 Current State: 17:[4, 13], Operations: ['80-76=4', '1+12=13'] Exploring Operation: 4+13=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 54, 70, 26, 88 ]
29
[ "88-70=18", "54/18=3", "26+3=29" ]
Current State: 29:[54, 70, 26, 88], Operations: [] Exploring Operation: 88-70=18, Resulting Numbers: [54, 26, 18] Generated Node #2: [54, 26, 18] from Operation: 88-70=18 Current State: 29:[54, 26, 18], Operations: ['88-70=18'] Exploring Operation: 54/18=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 54/18=3 Current State: 29:[26, 3], Operations: ['88-70=18', '54/18=3'] Exploring Operation: 26+3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 95, 25, 98, 25 ]
100
[ "98-95=3", "25*3=75", "25+75=100" ]
Current State: 100:[95, 25, 98, 25], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [25, 25, 3] Generated Node #2: [25, 25, 3] from Operation: 98-95=3 Current State: 100:[25, 25, 3], Operations: ['98-95=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,100 equal: Goal Reached Exploring Operation: 25+75=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 87, 64, 59, 8 ]
44
[ "87-64=23", "59+8=67", "67-23=44" ]
Current State: 44:[87, 64, 59, 8], Operations: [] Exploring Operation: 87-64=23, Resulting Numbers: [59, 8, 23] Generated Node #2: [59, 8, 23] from Operation: 87-64=23 Current State: 44:[59, 8, 23], Operations: ['87-64=23'] Exploring Operation: 59+8=67, Resulting Numbers: [23, 67] Generated Node #3: [23, 67] from Operation: 59+8=67 Current State: 44:[23, 67], Operations: ['87-64=23', '59+8=67'] Exploring Operation: 67-23=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 11, 72, 64, 74 ]
21
[ "74-72=2", "64/2=32", "32-11=21" ]
Current State: 21:[11, 72, 64, 74], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [11, 64, 2] Generated Node #2: [11, 64, 2] from Operation: 74-72=2 Current State: 21:[11, 64, 2], Operations: ['74-72=2'] Exploring Operation: 64/2=32, Resulting Numbers: [11, 32] Generated Node #3: [11, 32] from Operation: 64/2=32 Current State: 21:[11, 32], Operations: ['74-72=2', '64/2=32'] Exploring Operation: 32-11=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 37, 88, 3, 31 ]
42
[ "88-37=51", "3*31=93", "93-51=42" ]
Current State: 42:[37, 88, 3, 31], Operations: [] Exploring Operation: 88-37=51, Resulting Numbers: [3, 31, 51] Generated Node #2: [3, 31, 51] from Operation: 88-37=51 Current State: 42:[3, 31, 51], Operations: ['88-37=51'] Exploring Operation: 3*31=93, Resulting Numbers: [51, 93] Generated Node #3: [51, 93] from Operation: 3*31=93 Current State: 42:[51, 93], Operations: ['88-37=51', '3*31=93'] Exploring Operation: 93-51=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 64, 36, 32, 50 ]
28
[ "64/32=2", "50-36=14", "2*14=28" ]
Current State: 28:[64, 36, 32, 50], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [36, 50, 2] Generated Node #2: [36, 50, 2] from Operation: 64/32=2 Current State: 28:[36, 50, 2], Operations: ['64/32=2'] Exploring Operation: 50-36=14, Resulting Numbers: [2, 14] Generated Node #3: [2, 14] from Operation: 50-36=14 Current State: 28:[2, 14], Operations: ['64/32=2', '50-36=14'] Exploring Operation: 2*14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 74, 3, 38, 95 ]
97
[ "95-38=57", "3*57=171", "171-74=97" ]
Current State: 97:[74, 3, 38, 95], Operations: [] Exploring Operation: 95-38=57, Resulting Numbers: [74, 3, 57] Generated Node #2: [74, 3, 57] from Operation: 95-38=57 Current State: 97:[74, 3, 57], Operations: ['95-38=57'] Exploring Operation: 3*57=171, Resulting Numbers: [74, 171] Generated Node #3: [74, 171] from Operation: 3*57=171 Current State: 97:[74, 171], Operations: ['95-38=57', '3*57=171'] Exploring Operation: 171-74=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 6, 21, 10, 38 ]
43
[ "21-6=15", "38-10=28", "15+28=43" ]
Current State: 43:[6, 21, 10, 38], Operations: [] Exploring Operation: 21-6=15, Resulting Numbers: [10, 38, 15] Generated Node #2: [10, 38, 15] from Operation: 21-6=15 Current State: 43:[10, 38, 15], Operations: ['21-6=15'] Exploring Operation: 38-10=28, Resulting Numbers: [15, 28] Generated Node #3: [15, 28] from Operation: 38-10=28 Current State: 43:[15, 28], Operations: ['21-6=15', '38-10=28'] Exploring Operation: 15+28=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 28, 8, 26, 11 ]
66
[ "28-8=20", "26-20=6", "11*6=66" ]
Current State: 66:[28, 8, 26, 11], Operations: [] Exploring Operation: 28-8=20, Resulting Numbers: [26, 11, 20] Generated Node #2: [26, 11, 20] from Operation: 28-8=20 Current State: 66:[26, 11, 20], Operations: ['28-8=20'] Exploring Operation: 26-20=6, Resulting Numbers: [11, 6] Generated Node #3: [11, 6] from Operation: 26-20=6 Current State: 66:[11, 6], Operations: ['28-8=20', '26-20=6'] Exploring Operation: 11*6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 84, 25, 44, 63 ]
40
[ "84-25=59", "63-44=19", "59-19=40" ]
Current State: 40:[84, 25, 44, 63], Operations: [] Exploring Operation: 84-25=59, Resulting Numbers: [44, 63, 59] Generated Node #2: [44, 63, 59] from Operation: 84-25=59 Current State: 40:[44, 63, 59], Operations: ['84-25=59'] Exploring Operation: 63-44=19, Resulting Numbers: [59, 19] Generated Node #3: [59, 19] from Operation: 63-44=19 Current State: 40:[59, 19], Operations: ['84-25=59', '63-44=19'] Exploring Operation: 59-19=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 17, 96, 62, 90 ]
45
[ "17*90=1530", "96-62=34", "1530/34=45" ]
Current State: 45:[17, 96, 62, 90], Operations: [] Exploring Operation: 17*90=1530, Resulting Numbers: [96, 62, 1530] Generated Node #2: [96, 62, 1530] from Operation: 17*90=1530 Current State: 45:[96, 62, 1530], Operations: ['17*90=1530'] Exploring Operation: 96-62=34, Resulting Numbers: [1530, 34] Generated Node #3: [1530, 34] from Operation: 96-62=34 Current State: 45:[1530, 34], Operations: ['17*90=1530', '96-62=34'] Exploring Operation: 1530/34=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 49, 88, 90, 6 ]
54
[ "88-49=39", "90/6=15", "39+15=54" ]
Current State: 54:[49, 88, 90, 6], Operations: [] Exploring Operation: 88-49=39, Resulting Numbers: [90, 6, 39] Generated Node #2: [90, 6, 39] from Operation: 88-49=39 Current State: 54:[90, 6, 39], Operations: ['88-49=39'] Exploring Operation: 90/6=15, Resulting Numbers: [39, 15] Generated Node #3: [39, 15] from Operation: 90/6=15 Current State: 54:[39, 15], Operations: ['88-49=39', '90/6=15'] Exploring Operation: 39+15=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 67, 5, 53, 45 ]
69
[ "67+53=120", "120/5=24", "45+24=69" ]
Current State: 69:[67, 5, 53, 45], Operations: [] Exploring Operation: 67+53=120, Resulting Numbers: [5, 45, 120] Generated Node #2: [5, 45, 120] from Operation: 67+53=120 Current State: 69:[5, 45, 120], Operations: ['67+53=120'] Exploring Operation: 120/5=24, Resulting Numbers: [45, 24] Generated Node #3: [45, 24] from Operation: 120/5=24 Current State: 69:[45, 24], Operations: ['67+53=120', '120/5=24'] Exploring Operation: 45+24=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 80, 51, 38, 16 ]
51
[ "80-51=29", "38-16=22", "29+22=51" ]
Current State: 51:[80, 51, 38, 16], Operations: [] Exploring Operation: 80-51=29, Resulting Numbers: [38, 16, 29] Generated Node #2: [38, 16, 29] from Operation: 80-51=29 Current State: 51:[38, 16, 29], Operations: ['80-51=29'] Exploring Operation: 38-16=22, Resulting Numbers: [29, 22] Generated Node #3: [29, 22] from Operation: 38-16=22 Current State: 51:[29, 22], Operations: ['80-51=29', '38-16=22'] Exploring Operation: 29+22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 16, 64, 22, 2 ]
83
[ "16+22=38", "38/2=19", "64+19=83" ]
Current State: 83:[16, 64, 22, 2], Operations: [] Exploring Operation: 16+22=38, Resulting Numbers: [64, 2, 38] Generated Node #2: [64, 2, 38] from Operation: 16+22=38 Current State: 83:[64, 2, 38], Operations: ['16+22=38'] Exploring Operation: 38/2=19, Resulting Numbers: [64, 19] Generated Node #3: [64, 19] from Operation: 38/2=19 Current State: 83:[64, 19], Operations: ['16+22=38', '38/2=19'] Exploring Operation: 64+19=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 17, 65, 79, 56 ]
25
[ "65-17=48", "79-56=23", "48-23=25" ]
Current State: 25:[17, 65, 79, 56], Operations: [] Exploring Operation: 65-17=48, Resulting Numbers: [79, 56, 48] Generated Node #2: [79, 56, 48] from Operation: 65-17=48 Current State: 25:[79, 56, 48], Operations: ['65-17=48'] Exploring Operation: 79-56=23, Resulting Numbers: [48, 23] Generated Node #3: [48, 23] from Operation: 79-56=23 Current State: 25:[48, 23], Operations: ['65-17=48', '79-56=23'] Exploring Operation: 48-23=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 92, 99, 86, 84 ]
85
[ "92-86=6", "84/6=14", "99-14=85" ]
Current State: 85:[92, 99, 86, 84], Operations: [] Exploring Operation: 92-86=6, Resulting Numbers: [99, 84, 6] Generated Node #2: [99, 84, 6] from Operation: 92-86=6 Current State: 85:[99, 84, 6], Operations: ['92-86=6'] Exploring Operation: 84/6=14, Resulting Numbers: [99, 14] Generated Node #3: [99, 14] from Operation: 84/6=14 Current State: 85:[99, 14], Operations: ['92-86=6', '84/6=14'] Exploring Operation: 99-14=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4