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
[ 22, 41, 15, 46 ]
53
[ "46-41=5", "15*5=75", "75-22=53" ]
Current State: 53:[22, 41, 15, 46], Operations: [] Exploring Operation: 46-41=5, Resulting Numbers: [22, 15, 5] Generated Node #2: [22, 15, 5] from Operation: 46-41=5 Current State: 53:[22, 15, 5], Operations: ['46-41=5'] Exploring Operation: 15*5=75, Resulting Numbers: [22, 75] Generated Node #3: [22, 75] from Operation: 15*5=75 Current State: 53:[22, 75], Operations: ['46-41=5', '15*5=75'] Exploring Operation: 75-22=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 13, 16, 66, 3 ]
92
[ "13+16=29", "66-3=63", "29+63=92" ]
Current State: 92:[13, 16, 66, 3], Operations: [] Exploring Operation: 13+16=29, Resulting Numbers: [66, 3, 29] Generated Node #2: [66, 3, 29] from Operation: 13+16=29 Current State: 92:[66, 3, 29], Operations: ['13+16=29'] Exploring Operation: 66-3=63, Resulting Numbers: [29, 63] Generated Node #3: [29, 63] from Operation: 66-3=63 Current State: 92:[29, 63], Operations: ['13+16=29', '66-3=63'] Exploring Operation: 29+63=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 40, 5, 5, 61 ]
69
[ "5*61=305", "40+305=345", "345/5=69" ]
Current State: 69:[40, 5, 5, 61], Operations: [] Exploring Operation: 5*61=305, Resulting Numbers: [40, 305] Generated Node #2: [40, 305] from Operation: 5*61=305 Current State: 69:[40, 305], Operations: ['5*61=305'] Exploring Operation: 40+305=345, Resulting Numbers: [345] 345,69 equal: Goal Reached Exploring Operation: 345/5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 40, 73, 34, 1 ]
68
[ "73-40=33", "34+1=35", "33+35=68" ]
Current State: 68:[40, 73, 34, 1], Operations: [] Exploring Operation: 73-40=33, Resulting Numbers: [34, 1, 33] Generated Node #2: [34, 1, 33] from Operation: 73-40=33 Current State: 68:[34, 1, 33], Operations: ['73-40=33'] Exploring Operation: 34+1=35, Resulting Numbers: [33, 35] Generated Node #3: [33, 35] from Operation: 34+1=35 Current State: 68:[33, 35], Operations: ['73-40=33', '34+1=35'] Exploring Operation: 33+35=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 40, 4, 39, 49 ]
72
[ "40*4=160", "39+49=88", "160-88=72" ]
Current State: 72:[40, 4, 39, 49], Operations: [] Exploring Operation: 40*4=160, Resulting Numbers: [39, 49, 160] Generated Node #2: [39, 49, 160] from Operation: 40*4=160 Current State: 72:[39, 49, 160], Operations: ['40*4=160'] Exploring Operation: 39+49=88, Resulting Numbers: [160, 88] Generated Node #3: [160, 88] from Operation: 39+49=88 Current State: 72:[160, 88], Operations: ['40*4=160', '39+49=88'] Exploring Operation: 160-88=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 67, 71, 64, 54 ]
40
[ "71-67=4", "64-54=10", "4*10=40" ]
Current State: 40:[67, 71, 64, 54], Operations: [] Exploring Operation: 71-67=4, Resulting Numbers: [64, 54, 4] Generated Node #2: [64, 54, 4] from Operation: 71-67=4 Current State: 40:[64, 54, 4], Operations: ['71-67=4'] Exploring Operation: 64-54=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 64-54=10 Current State: 40:[4, 10], Operations: ['71-67=4', '64-54=10'] Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 55, 40, 2, 7 ]
37
[ "55-40=15", "2*15=30", "7+30=37" ]
Current State: 37:[55, 40, 2, 7], Operations: [] Exploring Operation: 55-40=15, Resulting Numbers: [2, 7, 15] Generated Node #2: [2, 7, 15] from Operation: 55-40=15 Current State: 37:[2, 7, 15], Operations: ['55-40=15'] Exploring Operation: 2*15=30, Resulting Numbers: [7, 30] Generated Node #3: [7, 30] from Operation: 2*15=30 Current State: 37:[7, 30], Operations: ['55-40=15', '2*15=30'] Exploring Operation: 7+30=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 13, 57, 57, 69 ]
58
[ "13+57=70", "69-57=12", "70-12=58" ]
Current State: 58:[13, 57, 57, 69], Operations: [] Exploring Operation: 13+57=70, Resulting Numbers: [69, 70] Generated Node #2: [69, 70] from Operation: 13+57=70 Current State: 58:[69, 70], Operations: ['13+57=70'] Exploring Operation: 69-57=12, Resulting Numbers: [70, 12] Generated Node #3: [70, 12] from Operation: 69-57=12 Current State: 58:[70, 12], Operations: ['13+57=70', '69-57=12'] Exploring Operation: 70-12=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 56, 14, 98, 62 ]
78
[ "56-14=42", "98-62=36", "42+36=78" ]
Current State: 78:[56, 14, 98, 62], Operations: [] Exploring Operation: 56-14=42, Resulting Numbers: [98, 62, 42] Generated Node #2: [98, 62, 42] from Operation: 56-14=42 Current State: 78:[98, 62, 42], Operations: ['56-14=42'] Exploring Operation: 98-62=36, Resulting Numbers: [42, 36] Generated Node #3: [42, 36] from Operation: 98-62=36 Current State: 78:[42, 36], Operations: ['56-14=42', '98-62=36'] Exploring Operation: 42+36=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 64, 24, 22, 61 ]
67
[ "24-22=2", "64*2=128", "128-61=67" ]
Current State: 67:[64, 24, 22, 61], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [64, 61, 2] Generated Node #2: [64, 61, 2] from Operation: 24-22=2 Current State: 67:[64, 61, 2], Operations: ['24-22=2'] Exploring Operation: 64*2=128, Resulting Numbers: [61, 128] Generated Node #3: [61, 128] from Operation: 64*2=128 Current State: 67:[61, 128], Operations: ['24-22=2', '64*2=128'] Exploring Operation: 128-61=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 15, 66, 39, 17 ]
10
[ "66+39=105", "105/15=7", "17-7=10" ]
Current State: 10:[15, 66, 39, 17], Operations: [] Exploring Operation: 66+39=105, Resulting Numbers: [15, 17, 105] Generated Node #2: [15, 17, 105] from Operation: 66+39=105 Current State: 10:[15, 17, 105], Operations: ['66+39=105'] Exploring Operation: 105/15=7, Resulting Numbers: [17, 7] Generated Node #3: [17, 7] from Operation: 105/15=7 Current State: 10:[17, 7], Operations: ['66+39=105', '105/15=7'] Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 1, 6, 20, 94 ]
27
[ "94-1=93", "6*20=120", "120-93=27" ]
Current State: 27:[1, 6, 20, 94], Operations: [] Exploring Operation: 94-1=93, Resulting Numbers: [6, 20, 93] Generated Node #2: [6, 20, 93] from Operation: 94-1=93 Current State: 27:[6, 20, 93], Operations: ['94-1=93'] Exploring Operation: 6*20=120, Resulting Numbers: [93, 120] Generated Node #3: [93, 120] from Operation: 6*20=120 Current State: 27:[93, 120], Operations: ['94-1=93', '6*20=120'] Exploring Operation: 120-93=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 66, 51, 85, 60 ]
40
[ "66-51=15", "85-60=25", "15+25=40" ]
Current State: 40:[66, 51, 85, 60], Operations: [] Exploring Operation: 66-51=15, Resulting Numbers: [85, 60, 15] Generated Node #2: [85, 60, 15] from Operation: 66-51=15 Current State: 40:[85, 60, 15], Operations: ['66-51=15'] Exploring Operation: 85-60=25, Resulting Numbers: [15, 25] Generated Node #3: [15, 25] from Operation: 85-60=25 Current State: 40:[15, 25], Operations: ['66-51=15', '85-60=25'] Exploring Operation: 15+25=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 70, 71, 5, 38 ]
43
[ "71-70=1", "5+38=43", "1*43=43" ]
Current State: 43:[70, 71, 5, 38], Operations: [] Exploring Operation: 71-70=1, Resulting Numbers: [5, 38, 1] Generated Node #2: [5, 38, 1] from Operation: 71-70=1 Current State: 43:[5, 38, 1], Operations: ['71-70=1'] Exploring Operation: 5+38=43, Resulting Numbers: [1, 43] Generated Node #3: [1, 43] from Operation: 5+38=43 Current State: 43:[1, 43], Operations: ['71-70=1', '5+38=43'] Exploring Operation: 1*43=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 29, 64, 41, 7 ]
59
[ "29+64=93", "41-7=34", "93-34=59" ]
Current State: 59:[29, 64, 41, 7], Operations: [] Exploring Operation: 29+64=93, Resulting Numbers: [41, 7, 93] Generated Node #2: [41, 7, 93] from Operation: 29+64=93 Current State: 59:[41, 7, 93], Operations: ['29+64=93'] Exploring Operation: 41-7=34, Resulting Numbers: [93, 34] Generated Node #3: [93, 34] from Operation: 41-7=34 Current State: 59:[93, 34], Operations: ['29+64=93', '41-7=34'] Exploring Operation: 93-34=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 28, 76, 91, 67 ]
44
[ "76+67=143", "28*143=4004", "4004/91=44" ]
Current State: 44:[28, 76, 91, 67], Operations: [] Exploring Operation: 76+67=143, Resulting Numbers: [28, 91, 143] Generated Node #2: [28, 91, 143] from Operation: 76+67=143 Current State: 44:[28, 91, 143], Operations: ['76+67=143'] Exploring Operation: 28*143=4004, Resulting Numbers: [91, 4004] Generated Node #3: [91, 4004] from Operation: 28*143=4004 Current State: 44:[91, 4004], Operations: ['76+67=143', '28*143=4004'] Exploring Operation: 4004/91=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 1, 24, 88, 44 ]
24
[ "88/44=2", "2-1=1", "24*1=24" ]
Current State: 24:[1, 24, 88, 44], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [1, 24, 2] Generated Node #2: [1, 24, 2] from Operation: 88/44=2 Current State: 24:[1, 24, 2], Operations: ['88/44=2'] Exploring Operation: 2-1=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 2-1=1 Current State: 24:[24, 1], Operations: ['88/44=2', '2-1=1'] Exploring Operation: 24*1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 62, 14, 52, 70 ]
60
[ "70-62=8", "14*8=112", "112-52=60" ]
Current State: 60:[62, 14, 52, 70], Operations: [] Exploring Operation: 70-62=8, Resulting Numbers: [14, 52, 8] Generated Node #2: [14, 52, 8] from Operation: 70-62=8 Current State: 60:[14, 52, 8], Operations: ['70-62=8'] Exploring Operation: 14*8=112, Resulting Numbers: [52, 112] Generated Node #3: [52, 112] from Operation: 14*8=112 Current State: 60:[52, 112], Operations: ['70-62=8', '14*8=112'] Exploring Operation: 112-52=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 83, 17, 70, 15 ]
88
[ "70+15=85", "85/17=5", "83+5=88" ]
Current State: 88:[83, 17, 70, 15], Operations: [] Exploring Operation: 70+15=85, Resulting Numbers: [83, 17, 85] Generated Node #2: [83, 17, 85] from Operation: 70+15=85 Current State: 88:[83, 17, 85], Operations: ['70+15=85'] Exploring Operation: 85/17=5, Resulting Numbers: [83, 5] Generated Node #3: [83, 5] from Operation: 85/17=5 Current State: 88:[83, 5], Operations: ['70+15=85', '85/17=5'] Exploring Operation: 83+5=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 37, 2, 57, 30 ]
40
[ "57-37=20", "2*30=60", "60-20=40" ]
Current State: 40:[37, 2, 57, 30], Operations: [] Exploring Operation: 57-37=20, Resulting Numbers: [2, 30, 20] Generated Node #2: [2, 30, 20] from Operation: 57-37=20 Current State: 40:[2, 30, 20], Operations: ['57-37=20'] Exploring Operation: 2*30=60, Resulting Numbers: [20, 60] Generated Node #3: [20, 60] from Operation: 2*30=60 Current State: 40:[20, 60], Operations: ['57-37=20', '2*30=60'] Exploring Operation: 60-20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 73, 52, 66, 72 ]
13
[ "73+52=125", "66+72=138", "138-125=13" ]
Current State: 13:[73, 52, 66, 72], Operations: [] Exploring Operation: 73+52=125, Resulting Numbers: [66, 72, 125] Generated Node #2: [66, 72, 125] from Operation: 73+52=125 Current State: 13:[66, 72, 125], Operations: ['73+52=125'] Exploring Operation: 66+72=138, Resulting Numbers: [125, 138] Generated Node #3: [125, 138] from Operation: 66+72=138 Current State: 13:[125, 138], Operations: ['73+52=125', '66+72=138'] Exploring Operation: 138-125=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 78, 10, 89, 76 ]
55
[ "78-10=68", "89-76=13", "68-13=55" ]
Current State: 55:[78, 10, 89, 76], Operations: [] Exploring Operation: 78-10=68, Resulting Numbers: [89, 76, 68] Generated Node #2: [89, 76, 68] from Operation: 78-10=68 Current State: 55:[89, 76, 68], Operations: ['78-10=68'] Exploring Operation: 89-76=13, Resulting Numbers: [68, 13] Generated Node #3: [68, 13] from Operation: 89-76=13 Current State: 55:[68, 13], Operations: ['78-10=68', '89-76=13'] Exploring Operation: 68-13=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 58, 99, 32, 88 ]
94
[ "99*32=3168", "3168/88=36", "58+36=94" ]
Current State: 94:[58, 99, 32, 88], Operations: [] Exploring Operation: 99*32=3168, Resulting Numbers: [58, 88, 3168] Generated Node #2: [58, 88, 3168] from Operation: 99*32=3168 Current State: 94:[58, 88, 3168], Operations: ['99*32=3168'] Exploring Operation: 3168/88=36, Resulting Numbers: [58, 36] Generated Node #3: [58, 36] from Operation: 3168/88=36 Current State: 94:[58, 36], Operations: ['99*32=3168', '3168/88=36'] Exploring Operation: 58+36=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 9, 27, 33, 16 ]
14
[ "27/9=3", "33-16=17", "17-3=14" ]
Current State: 14:[9, 27, 33, 16], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [33, 16, 3] Generated Node #2: [33, 16, 3] from Operation: 27/9=3 Current State: 14:[33, 16, 3], Operations: ['27/9=3'] Exploring Operation: 33-16=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 33-16=17 Current State: 14:[3, 17], Operations: ['27/9=3', '33-16=17'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 32, 54, 38, 29 ]
56
[ "32-29=3", "54/3=18", "38+18=56" ]
Current State: 56:[32, 54, 38, 29], Operations: [] Exploring Operation: 32-29=3, Resulting Numbers: [54, 38, 3] Generated Node #2: [54, 38, 3] from Operation: 32-29=3 Current State: 56:[54, 38, 3], Operations: ['32-29=3'] Exploring Operation: 54/3=18, Resulting Numbers: [38, 18] Generated Node #3: [38, 18] from Operation: 54/3=18 Current State: 56:[38, 18], Operations: ['32-29=3', '54/3=18'] Exploring Operation: 38+18=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 66, 38, 81, 37 ]
15
[ "81-66=15", "38-37=1", "15*1=15" ]
Current State: 15:[66, 38, 81, 37], Operations: [] Exploring Operation: 81-66=15, Resulting Numbers: [38, 37, 15] Generated Node #2: [38, 37, 15] from Operation: 81-66=15 Current State: 15:[38, 37, 15], Operations: ['81-66=15'] Exploring Operation: 38-37=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 38-37=1 Current State: 15:[15, 1], Operations: ['81-66=15', '38-37=1'] Exploring Operation: 15*1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 52, 53, 31, 94 ]
54
[ "31*94=2914", "2914-52=2862", "2862/53=54" ]
Current State: 54:[52, 53, 31, 94], Operations: [] Exploring Operation: 31*94=2914, Resulting Numbers: [52, 53, 2914] Generated Node #2: [52, 53, 2914] from Operation: 31*94=2914 Current State: 54:[52, 53, 2914], Operations: ['31*94=2914'] Exploring Operation: 2914-52=2862, Resulting Numbers: [53, 2862] Generated Node #3: [53, 2862] from Operation: 2914-52=2862 Current State: 54:[53, 2862], Operations: ['31*94=2914', '2914-52=2862'] Exploring Operation: 2862/53=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 37, 76, 18, 50 ]
29
[ "76-37=39", "18+50=68", "68-39=29" ]
Current State: 29:[37, 76, 18, 50], Operations: [] Exploring Operation: 76-37=39, Resulting Numbers: [18, 50, 39] Generated Node #2: [18, 50, 39] from Operation: 76-37=39 Current State: 29:[18, 50, 39], Operations: ['76-37=39'] Exploring Operation: 18+50=68, Resulting Numbers: [39, 68] Generated Node #3: [39, 68] from Operation: 18+50=68 Current State: 29:[39, 68], Operations: ['76-37=39', '18+50=68'] Exploring Operation: 68-39=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 65, 5, 15, 82 ]
27
[ "65+5=70", "15+82=97", "97-70=27" ]
Current State: 27:[65, 5, 15, 82], Operations: [] Exploring Operation: 65+5=70, Resulting Numbers: [15, 82, 70] Generated Node #2: [15, 82, 70] from Operation: 65+5=70 Current State: 27:[15, 82, 70], Operations: ['65+5=70'] Exploring Operation: 15+82=97, Resulting Numbers: [70, 97] Generated Node #3: [70, 97] from Operation: 15+82=97 Current State: 27:[70, 97], Operations: ['65+5=70', '15+82=97'] Exploring Operation: 97-70=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 4, 20, 24, 6 ]
42
[ "4+20=24", "24-6=18", "24+18=42" ]
Current State: 42:[4, 20, 24, 6], Operations: [] Exploring Operation: 4+20=24, Resulting Numbers: [24, 6, 24] Generated Node #2: [24, 6, 24] from Operation: 4+20=24 Current State: 42:[24, 6, 24], Operations: ['4+20=24'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,42 equal: Goal Reached Exploring Operation: 24+18=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 40, 58, 53, 27 ]
18
[ "40+58=98", "53+27=80", "98-80=18" ]
Current State: 18:[40, 58, 53, 27], Operations: [] Exploring Operation: 40+58=98, Resulting Numbers: [53, 27, 98] Generated Node #2: [53, 27, 98] from Operation: 40+58=98 Current State: 18:[53, 27, 98], Operations: ['40+58=98'] Exploring Operation: 53+27=80, Resulting Numbers: [98, 80] Generated Node #3: [98, 80] from Operation: 53+27=80 Current State: 18:[98, 80], Operations: ['40+58=98', '53+27=80'] Exploring Operation: 98-80=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 40, 26, 34, 42 ]
74
[ "40+26=66", "42-34=8", "66+8=74" ]
Current State: 74:[40, 26, 34, 42], Operations: [] Exploring Operation: 40+26=66, Resulting Numbers: [34, 42, 66] Generated Node #2: [34, 42, 66] from Operation: 40+26=66 Current State: 74:[34, 42, 66], Operations: ['40+26=66'] Exploring Operation: 42-34=8, Resulting Numbers: [66, 8] Generated Node #3: [66, 8] from Operation: 42-34=8 Current State: 74:[66, 8], Operations: ['40+26=66', '42-34=8'] Exploring Operation: 66+8=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 47, 7, 34, 2 ]
89
[ "47-34=13", "7*13=91", "91-2=89" ]
Current State: 89:[47, 7, 34, 2], Operations: [] Exploring Operation: 47-34=13, Resulting Numbers: [7, 2, 13] Generated Node #2: [7, 2, 13] from Operation: 47-34=13 Current State: 89:[7, 2, 13], Operations: ['47-34=13'] Exploring Operation: 7*13=91, Resulting Numbers: [2, 91] Generated Node #3: [2, 91] from Operation: 7*13=91 Current State: 89:[2, 91], Operations: ['47-34=13', '7*13=91'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 8, 88, 16, 46 ]
86
[ "8*16=128", "88-46=42", "128-42=86" ]
Current State: 86:[8, 88, 16, 46], Operations: [] Exploring Operation: 8*16=128, Resulting Numbers: [88, 46, 128] Generated Node #2: [88, 46, 128] from Operation: 8*16=128 Current State: 86:[88, 46, 128], Operations: ['8*16=128'] Exploring Operation: 88-46=42, Resulting Numbers: [128, 42] Generated Node #3: [128, 42] from Operation: 88-46=42 Current State: 86:[128, 42], Operations: ['8*16=128', '88-46=42'] Exploring Operation: 128-42=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 6, 50, 55, 61 ]
91
[ "55-50=5", "6*5=30", "61+30=91" ]
Current State: 91:[6, 50, 55, 61], Operations: [] Exploring Operation: 55-50=5, Resulting Numbers: [6, 61, 5] Generated Node #2: [6, 61, 5] from Operation: 55-50=5 Current State: 91:[6, 61, 5], Operations: ['55-50=5'] Exploring Operation: 6*5=30, Resulting Numbers: [61, 30] Generated Node #3: [61, 30] from Operation: 6*5=30 Current State: 91:[61, 30], Operations: ['55-50=5', '6*5=30'] Exploring Operation: 61+30=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 46, 24, 3, 25 ]
53
[ "46-24=22", "3*25=75", "75-22=53" ]
Current State: 53:[46, 24, 3, 25], Operations: [] Exploring Operation: 46-24=22, Resulting Numbers: [3, 25, 22] Generated Node #2: [3, 25, 22] from Operation: 46-24=22 Current State: 53:[3, 25, 22], Operations: ['46-24=22'] Exploring Operation: 3*25=75, Resulting Numbers: [22, 75] Generated Node #3: [22, 75] from Operation: 3*25=75 Current State: 53:[22, 75], Operations: ['46-24=22', '3*25=75'] Exploring Operation: 75-22=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 28, 90, 56, 74 ]
98
[ "28*56=1568", "90-74=16", "1568/16=98" ]
Current State: 98:[28, 90, 56, 74], Operations: [] Exploring Operation: 28*56=1568, Resulting Numbers: [90, 74, 1568] Generated Node #2: [90, 74, 1568] from Operation: 28*56=1568 Current State: 98:[90, 74, 1568], Operations: ['28*56=1568'] Exploring Operation: 90-74=16, Resulting Numbers: [1568, 16] Generated Node #3: [1568, 16] from Operation: 90-74=16 Current State: 98:[1568, 16], Operations: ['28*56=1568', '90-74=16'] Exploring Operation: 1568/16=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 10, 40, 88, 30 ]
76
[ "88*30=2640", "2640/40=66", "10+66=76" ]
Current State: 76:[10, 40, 88, 30], Operations: [] Exploring Operation: 88*30=2640, Resulting Numbers: [10, 40, 2640] Generated Node #2: [10, 40, 2640] from Operation: 88*30=2640 Current State: 76:[10, 40, 2640], Operations: ['88*30=2640'] Exploring Operation: 2640/40=66, Resulting Numbers: [10, 66] Generated Node #3: [10, 66] from Operation: 2640/40=66 Current State: 76:[10, 66], Operations: ['88*30=2640', '2640/40=66'] Exploring Operation: 10+66=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 12, 59, 48, 47 ]
72
[ "12+59=71", "48-47=1", "71+1=72" ]
Current State: 72:[12, 59, 48, 47], Operations: [] Exploring Operation: 12+59=71, Resulting Numbers: [48, 47, 71] Generated Node #2: [48, 47, 71] from Operation: 12+59=71 Current State: 72:[48, 47, 71], Operations: ['12+59=71'] Exploring Operation: 48-47=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 48-47=1 Current State: 72:[71, 1], Operations: ['12+59=71', '48-47=1'] Exploring Operation: 71+1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 95, 60, 89, 2 ]
68
[ "95+60=155", "89-2=87", "155-87=68" ]
Current State: 68:[95, 60, 89, 2], Operations: [] Exploring Operation: 95+60=155, Resulting Numbers: [89, 2, 155] Generated Node #2: [89, 2, 155] from Operation: 95+60=155 Current State: 68:[89, 2, 155], Operations: ['95+60=155'] Exploring Operation: 89-2=87, Resulting Numbers: [155, 87] Generated Node #3: [155, 87] from Operation: 89-2=87 Current State: 68:[155, 87], Operations: ['95+60=155', '89-2=87'] Exploring Operation: 155-87=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 53, 85, 39, 83 ]
67
[ "85-83=2", "53*2=106", "106-39=67" ]
Current State: 67:[53, 85, 39, 83], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [53, 39, 2] Generated Node #2: [53, 39, 2] from Operation: 85-83=2 Current State: 67:[53, 39, 2], Operations: ['85-83=2'] Exploring Operation: 53*2=106, Resulting Numbers: [39, 106] Generated Node #3: [39, 106] from Operation: 53*2=106 Current State: 67:[39, 106], Operations: ['85-83=2', '53*2=106'] Exploring Operation: 106-39=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 65, 99, 32, 44 ]
46
[ "99-65=34", "44-32=12", "34+12=46" ]
Current State: 46:[65, 99, 32, 44], Operations: [] Exploring Operation: 99-65=34, Resulting Numbers: [32, 44, 34] Generated Node #2: [32, 44, 34] from Operation: 99-65=34 Current State: 46:[32, 44, 34], Operations: ['99-65=34'] Exploring Operation: 44-32=12, Resulting Numbers: [34, 12] Generated Node #3: [34, 12] from Operation: 44-32=12 Current State: 46:[34, 12], Operations: ['99-65=34', '44-32=12'] Exploring Operation: 34+12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 59, 67, 87, 50 ]
29
[ "67-59=8", "87-50=37", "37-8=29" ]
Current State: 29:[59, 67, 87, 50], Operations: [] Exploring Operation: 67-59=8, Resulting Numbers: [87, 50, 8] Generated Node #2: [87, 50, 8] from Operation: 67-59=8 Current State: 29:[87, 50, 8], Operations: ['67-59=8'] Exploring Operation: 87-50=37, Resulting Numbers: [8, 37] Generated Node #3: [8, 37] from Operation: 87-50=37 Current State: 29:[8, 37], Operations: ['67-59=8', '87-50=37'] Exploring Operation: 37-8=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 79, 10, 48, 6 ]
91
[ "79-48=31", "10*6=60", "31+60=91" ]
Current State: 91:[79, 10, 48, 6], Operations: [] Exploring Operation: 79-48=31, Resulting Numbers: [10, 6, 31] Generated Node #2: [10, 6, 31] from Operation: 79-48=31 Current State: 91:[10, 6, 31], Operations: ['79-48=31'] Exploring Operation: 10*6=60, Resulting Numbers: [31, 60] Generated Node #3: [31, 60] from Operation: 10*6=60 Current State: 91:[31, 60], Operations: ['79-48=31', '10*6=60'] Exploring Operation: 31+60=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 44, 57, 51, 49 ]
31
[ "51-49=2", "44*2=88", "88-57=31" ]
Current State: 31:[44, 57, 51, 49], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [44, 57, 2] Generated Node #2: [44, 57, 2] from Operation: 51-49=2 Current State: 31:[44, 57, 2], Operations: ['51-49=2'] Exploring Operation: 44*2=88, Resulting Numbers: [57, 88] Generated Node #3: [57, 88] from Operation: 44*2=88 Current State: 31:[57, 88], Operations: ['51-49=2', '44*2=88'] Exploring Operation: 88-57=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 5, 84, 17, 29 ]
12
[ "5+17=22", "29-22=7", "84/7=12" ]
Current State: 12:[5, 84, 17, 29], Operations: [] Exploring Operation: 5+17=22, Resulting Numbers: [84, 29, 22] Generated Node #2: [84, 29, 22] from Operation: 5+17=22 Current State: 12:[84, 29, 22], Operations: ['5+17=22'] Exploring Operation: 29-22=7, Resulting Numbers: [84, 7] Generated Node #3: [84, 7] from Operation: 29-22=7 Current State: 12:[84, 7], Operations: ['5+17=22', '29-22=7'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 35, 14, 28, 57 ]
76
[ "35-14=21", "28*57=1596", "1596/21=76" ]
Current State: 76:[35, 14, 28, 57], Operations: [] Exploring Operation: 35-14=21, Resulting Numbers: [28, 57, 21] Generated Node #2: [28, 57, 21] from Operation: 35-14=21 Current State: 76:[28, 57, 21], Operations: ['35-14=21'] Exploring Operation: 28*57=1596, Resulting Numbers: [21, 1596] Generated Node #3: [21, 1596] from Operation: 28*57=1596 Current State: 76:[21, 1596], Operations: ['35-14=21', '28*57=1596'] Exploring Operation: 1596/21=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 91, 90, 79, 10 ]
68
[ "91-90=1", "79-10=69", "69-1=68" ]
Current State: 68:[91, 90, 79, 10], Operations: [] Exploring Operation: 91-90=1, Resulting Numbers: [79, 10, 1] Generated Node #2: [79, 10, 1] from Operation: 91-90=1 Current State: 68:[79, 10, 1], Operations: ['91-90=1'] Exploring Operation: 79-10=69, Resulting Numbers: [1, 69] Generated Node #3: [1, 69] from Operation: 79-10=69 Current State: 68:[1, 69], Operations: ['91-90=1', '79-10=69'] Exploring Operation: 69-1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 44, 95, 79, 40 ]
19
[ "79-44=35", "40-35=5", "95/5=19" ]
Current State: 19:[44, 95, 79, 40], Operations: [] Exploring Operation: 79-44=35, Resulting Numbers: [95, 40, 35] Generated Node #2: [95, 40, 35] from Operation: 79-44=35 Current State: 19:[95, 40, 35], Operations: ['79-44=35'] Exploring Operation: 40-35=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 40-35=5 Current State: 19:[95, 5], Operations: ['79-44=35', '40-35=5'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 95, 1, 97, 20 ]
40
[ "95*1=95", "97-95=2", "20*2=40" ]
Current State: 40:[95, 1, 97, 20], Operations: [] Exploring Operation: 95*1=95, Resulting Numbers: [97, 20, 95] Generated Node #2: [97, 20, 95] from Operation: 95*1=95 Current State: 40:[97, 20, 95], Operations: ['95*1=95'] Exploring Operation: 97-95=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 97-95=2 Current State: 40:[20, 2], Operations: ['95*1=95', '97-95=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 96, 2, 84, 5 ]
34
[ "96+84=180", "180/5=36", "36-2=34" ]
Current State: 34:[96, 2, 84, 5], Operations: [] Exploring Operation: 96+84=180, Resulting Numbers: [2, 5, 180] Generated Node #2: [2, 5, 180] from Operation: 96+84=180 Current State: 34:[2, 5, 180], Operations: ['96+84=180'] Exploring Operation: 180/5=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 180/5=36 Current State: 34:[2, 36], Operations: ['96+84=180', '180/5=36'] Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 97, 90, 45, 90 ]
95
[ "90-45=45", "90/45=2", "97-2=95" ]
Current State: 95:[97, 90, 45, 90], Operations: [] Exploring Operation: 90-45=45, Resulting Numbers: [97, 45] Generated Node #2: [97, 45] from Operation: 90-45=45 Current State: 95:[97, 45], Operations: ['90-45=45'] Exploring Operation: 90/45=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 90/45=2 Current State: 95:[97, 2], Operations: ['90-45=45', '90/45=2'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 18, 40, 18, 2 ]
72
[ "18*2=36", "40-36=4", "18*4=72" ]
Current State: 72:[18, 40, 18, 2], Operations: [] Exploring Operation: 18*2=36, Resulting Numbers: [40, 36] Generated Node #2: [40, 36] from Operation: 18*2=36 Current State: 72:[40, 36], Operations: ['18*2=36'] Exploring Operation: 40-36=4, Resulting Numbers: [4] 4,72 equal: Goal Reached Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 38, 67, 38, 31 ]
97
[ "38/38=1", "67+31=98", "98-1=97" ]
Current State: 97:[38, 67, 38, 31], Operations: [] Exploring Operation: 38/38=1, Resulting Numbers: [67, 31, 1] Generated Node #2: [67, 31, 1] from Operation: 38/38=1 Current State: 97:[67, 31, 1], Operations: ['38/38=1'] Exploring Operation: 67+31=98, Resulting Numbers: [1, 98] Generated Node #3: [1, 98] from Operation: 67+31=98 Current State: 97:[1, 98], Operations: ['38/38=1', '67+31=98'] Exploring Operation: 98-1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 51, 50, 17, 30 ]
88
[ "51+50=101", "30-17=13", "101-13=88" ]
Current State: 88:[51, 50, 17, 30], Operations: [] Exploring Operation: 51+50=101, Resulting Numbers: [17, 30, 101] Generated Node #2: [17, 30, 101] from Operation: 51+50=101 Current State: 88:[17, 30, 101], Operations: ['51+50=101'] Exploring Operation: 30-17=13, Resulting Numbers: [101, 13] Generated Node #3: [101, 13] from Operation: 30-17=13 Current State: 88:[101, 13], Operations: ['51+50=101', '30-17=13'] Exploring Operation: 101-13=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 32, 63, 18, 25 ]
61
[ "32+18=50", "50/25=2", "63-2=61" ]
Current State: 61:[32, 63, 18, 25], Operations: [] Exploring Operation: 32+18=50, Resulting Numbers: [63, 25, 50] Generated Node #2: [63, 25, 50] from Operation: 32+18=50 Current State: 61:[63, 25, 50], Operations: ['32+18=50'] Exploring Operation: 50/25=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 50/25=2 Current State: 61:[63, 2], Operations: ['32+18=50', '50/25=2'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 91, 44, 72, 26 ]
37
[ "91+44=135", "72+26=98", "135-98=37" ]
Current State: 37:[91, 44, 72, 26], Operations: [] Exploring Operation: 91+44=135, Resulting Numbers: [72, 26, 135] Generated Node #2: [72, 26, 135] from Operation: 91+44=135 Current State: 37:[72, 26, 135], Operations: ['91+44=135'] Exploring Operation: 72+26=98, Resulting Numbers: [135, 98] Generated Node #3: [135, 98] from Operation: 72+26=98 Current State: 37:[135, 98], Operations: ['91+44=135', '72+26=98'] Exploring Operation: 135-98=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 98, 49, 86, 96 ]
91
[ "98/49=2", "86+96=182", "182/2=91" ]
Current State: 91:[98, 49, 86, 96], Operations: [] Exploring Operation: 98/49=2, Resulting Numbers: [86, 96, 2] Generated Node #2: [86, 96, 2] from Operation: 98/49=2 Current State: 91:[86, 96, 2], Operations: ['98/49=2'] Exploring Operation: 86+96=182, Resulting Numbers: [2, 182] Generated Node #3: [2, 182] from Operation: 86+96=182 Current State: 91:[2, 182], Operations: ['98/49=2', '86+96=182'] Exploring Operation: 182/2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 4, 17, 8, 42 ]
76
[ "8/4=2", "17*2=34", "42+34=76" ]
Current State: 76:[4, 17, 8, 42], Operations: [] Exploring Operation: 8/4=2, Resulting Numbers: [17, 42, 2] Generated Node #2: [17, 42, 2] from Operation: 8/4=2 Current State: 76:[17, 42, 2], Operations: ['8/4=2'] Exploring Operation: 17*2=34, Resulting Numbers: [42, 34] Generated Node #3: [42, 34] from Operation: 17*2=34 Current State: 76:[42, 34], Operations: ['8/4=2', '17*2=34'] Exploring Operation: 42+34=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 42, 76, 97, 2 ]
84
[ "97-76=21", "2*21=42", "42+42=84" ]
Current State: 84:[42, 76, 97, 2], Operations: [] Exploring Operation: 97-76=21, Resulting Numbers: [42, 2, 21] Generated Node #2: [42, 2, 21] from Operation: 97-76=21 Current State: 84:[42, 2, 21], Operations: ['97-76=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42, 42] Generated Node #3: [42, 42] from Operation: 2*21=42 Current State: 84:[42, 42], Operations: ['97-76=21', '2*21=42'] Exploring Operation: 42+42=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 7, 82, 92, 28 ]
14
[ "28/7=4", "92-82=10", "4+10=14" ]
Current State: 14:[7, 82, 92, 28], Operations: [] Exploring Operation: 28/7=4, Resulting Numbers: [82, 92, 4] Generated Node #2: [82, 92, 4] from Operation: 28/7=4 Current State: 14:[82, 92, 4], Operations: ['28/7=4'] Exploring Operation: 92-82=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 92-82=10 Current State: 14:[4, 10], Operations: ['28/7=4', '92-82=10'] Exploring Operation: 4+10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 97, 20, 34, 3 ]
40
[ "97-20=77", "34+3=37", "77-37=40" ]
Current State: 40:[97, 20, 34, 3], Operations: [] Exploring Operation: 97-20=77, Resulting Numbers: [34, 3, 77] Generated Node #2: [34, 3, 77] from Operation: 97-20=77 Current State: 40:[34, 3, 77], Operations: ['97-20=77'] Exploring Operation: 34+3=37, Resulting Numbers: [77, 37] Generated Node #3: [77, 37] from Operation: 34+3=37 Current State: 40:[77, 37], Operations: ['97-20=77', '34+3=37'] Exploring Operation: 77-37=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 84, 77, 5, 92 ]
57
[ "84-77=7", "5*7=35", "92-35=57" ]
Current State: 57:[84, 77, 5, 92], Operations: [] Exploring Operation: 84-77=7, Resulting Numbers: [5, 92, 7] Generated Node #2: [5, 92, 7] from Operation: 84-77=7 Current State: 57:[5, 92, 7], Operations: ['84-77=7'] Exploring Operation: 5*7=35, Resulting Numbers: [92, 35] Generated Node #3: [92, 35] from Operation: 5*7=35 Current State: 57:[92, 35], Operations: ['84-77=7', '5*7=35'] Exploring Operation: 92-35=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 2, 96, 2, 38 ]
96
[ "2-2=0", "38*0=0", "96+0=96" ]
Current State: 96:[2, 96, 2, 38], Operations: [] Exploring Operation: 2-2=0, Resulting Numbers: [96, 38, 0] Generated Node #2: [96, 38, 0] from Operation: 2-2=0 Current State: 96:[96, 38, 0], Operations: ['2-2=0'] Exploring Operation: 38*0=0, Resulting Numbers: [96, 0] Generated Node #3: [96, 0] from Operation: 38*0=0 Current State: 96:[96, 0], Operations: ['2-2=0', '38*0=0'] Exploring Operation: 96+0=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 77, 38, 61, 58 ]
37
[ "61-58=3", "38*3=114", "114-77=37" ]
Current State: 37:[77, 38, 61, 58], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [77, 38, 3] Generated Node #2: [77, 38, 3] from Operation: 61-58=3 Current State: 37:[77, 38, 3], Operations: ['61-58=3'] Exploring Operation: 38*3=114, Resulting Numbers: [77, 114] Generated Node #3: [77, 114] from Operation: 38*3=114 Current State: 37:[77, 114], Operations: ['61-58=3', '38*3=114'] Exploring Operation: 114-77=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 25, 35, 10, 64 ]
90
[ "35*64=2240", "10+2240=2250", "2250/25=90" ]
Current State: 90:[25, 35, 10, 64], Operations: [] Exploring Operation: 35*64=2240, Resulting Numbers: [25, 10, 2240] Generated Node #2: [25, 10, 2240] from Operation: 35*64=2240 Current State: 90:[25, 10, 2240], Operations: ['35*64=2240'] Exploring Operation: 10+2240=2250, Resulting Numbers: [25, 2250] Generated Node #3: [25, 2250] from Operation: 10+2240=2250 Current State: 90:[25, 2250], Operations: ['35*64=2240', '10+2240=2250'] Exploring Operation: 2250/25=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 52, 98, 19, 10 ]
75
[ "98-52=46", "19+10=29", "46+29=75" ]
Current State: 75:[52, 98, 19, 10], Operations: [] Exploring Operation: 98-52=46, Resulting Numbers: [19, 10, 46] Generated Node #2: [19, 10, 46] from Operation: 98-52=46 Current State: 75:[19, 10, 46], Operations: ['98-52=46'] Exploring Operation: 19+10=29, Resulting Numbers: [46, 29] Generated Node #3: [46, 29] from Operation: 19+10=29 Current State: 75:[46, 29], Operations: ['98-52=46', '19+10=29'] Exploring Operation: 46+29=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 82, 39, 2, 10 ]
75
[ "82-10=72", "72/2=36", "39+36=75" ]
Current State: 75:[82, 39, 2, 10], Operations: [] Exploring Operation: 82-10=72, Resulting Numbers: [39, 2, 72] Generated Node #2: [39, 2, 72] from Operation: 82-10=72 Current State: 75:[39, 2, 72], Operations: ['82-10=72'] Exploring Operation: 72/2=36, Resulting Numbers: [39, 36] Generated Node #3: [39, 36] from Operation: 72/2=36 Current State: 75:[39, 36], Operations: ['82-10=72', '72/2=36'] Exploring Operation: 39+36=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 24, 81, 2, 25 ]
79
[ "25-24=1", "81-2=79", "1*79=79" ]
Current State: 79:[24, 81, 2, 25], Operations: [] Exploring Operation: 25-24=1, Resulting Numbers: [81, 2, 1] Generated Node #2: [81, 2, 1] from Operation: 25-24=1 Current State: 79:[81, 2, 1], Operations: ['25-24=1'] Exploring Operation: 81-2=79, Resulting Numbers: [1, 79] Generated Node #3: [1, 79] from Operation: 81-2=79 Current State: 79:[1, 79], Operations: ['25-24=1', '81-2=79'] Exploring Operation: 1*79=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 44, 3, 31, 65 ]
90
[ "44+31=75", "75/3=25", "65+25=90" ]
Current State: 90:[44, 3, 31, 65], Operations: [] Exploring Operation: 44+31=75, Resulting Numbers: [3, 65, 75] Generated Node #2: [3, 65, 75] from Operation: 44+31=75 Current State: 90:[3, 65, 75], Operations: ['44+31=75'] Exploring Operation: 75/3=25, Resulting Numbers: [65, 25] Generated Node #3: [65, 25] from Operation: 75/3=25 Current State: 90:[65, 25], Operations: ['44+31=75', '75/3=25'] Exploring Operation: 65+25=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 65, 8, 64, 32 ]
23
[ "65+8=73", "64+32=96", "96-73=23" ]
Current State: 23:[65, 8, 64, 32], Operations: [] Exploring Operation: 65+8=73, Resulting Numbers: [64, 32, 73] Generated Node #2: [64, 32, 73] from Operation: 65+8=73 Current State: 23:[64, 32, 73], Operations: ['65+8=73'] Exploring Operation: 64+32=96, Resulting Numbers: [73, 96] Generated Node #3: [73, 96] from Operation: 64+32=96 Current State: 23:[73, 96], Operations: ['65+8=73', '64+32=96'] Exploring Operation: 96-73=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 65, 10, 11, 13 ]
55
[ "65/13=5", "10-5=5", "11*5=55" ]
Current State: 55:[65, 10, 11, 13], Operations: [] Exploring Operation: 65/13=5, Resulting Numbers: [10, 11, 5] Generated Node #2: [10, 11, 5] from Operation: 65/13=5 Current State: 55:[10, 11, 5], Operations: ['65/13=5'] Exploring Operation: 10-5=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 10-5=5 Current State: 55:[11, 5], Operations: ['65/13=5', '10-5=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 3, 34, 12, 4 ]
22
[ "4-3=1", "34-12=22", "1*22=22" ]
Current State: 22:[3, 34, 12, 4], Operations: [] Exploring Operation: 4-3=1, Resulting Numbers: [34, 12, 1] Generated Node #2: [34, 12, 1] from Operation: 4-3=1 Current State: 22:[34, 12, 1], Operations: ['4-3=1'] Exploring Operation: 34-12=22, Resulting Numbers: [1, 22] Generated Node #3: [1, 22] from Operation: 34-12=22 Current State: 22:[1, 22], Operations: ['4-3=1', '34-12=22'] Exploring Operation: 1*22=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 27, 30, 46, 64 ]
20
[ "64-46=18", "30*18=540", "540/27=20" ]
Current State: 20:[27, 30, 46, 64], Operations: [] Exploring Operation: 64-46=18, Resulting Numbers: [27, 30, 18] Generated Node #2: [27, 30, 18] from Operation: 64-46=18 Current State: 20:[27, 30, 18], Operations: ['64-46=18'] Exploring Operation: 30*18=540, Resulting Numbers: [27, 540] Generated Node #3: [27, 540] from Operation: 30*18=540 Current State: 20:[27, 540], Operations: ['64-46=18', '30*18=540'] Exploring Operation: 540/27=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 82, 62, 19, 55 ]
94
[ "82-62=20", "19+55=74", "20+74=94" ]
Current State: 94:[82, 62, 19, 55], Operations: [] Exploring Operation: 82-62=20, Resulting Numbers: [19, 55, 20] Generated Node #2: [19, 55, 20] from Operation: 82-62=20 Current State: 94:[19, 55, 20], Operations: ['82-62=20'] Exploring Operation: 19+55=74, Resulting Numbers: [20, 74] Generated Node #3: [20, 74] from Operation: 19+55=74 Current State: 94:[20, 74], Operations: ['82-62=20', '19+55=74'] Exploring Operation: 20+74=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 77, 67, 8, 21 ]
23
[ "77-67=10", "21-8=13", "10+13=23" ]
Current State: 23:[77, 67, 8, 21], Operations: [] Exploring Operation: 77-67=10, Resulting Numbers: [8, 21, 10] Generated Node #2: [8, 21, 10] from Operation: 77-67=10 Current State: 23:[8, 21, 10], Operations: ['77-67=10'] Exploring Operation: 21-8=13, Resulting Numbers: [10, 13] Generated Node #3: [10, 13] from Operation: 21-8=13 Current State: 23:[10, 13], Operations: ['77-67=10', '21-8=13'] Exploring Operation: 10+13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 60, 58, 17, 30 ]
82
[ "60/30=2", "58-17=41", "2*41=82" ]
Current State: 82:[60, 58, 17, 30], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [58, 17, 2] Generated Node #2: [58, 17, 2] from Operation: 60/30=2 Current State: 82:[58, 17, 2], Operations: ['60/30=2'] Exploring Operation: 58-17=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 58-17=41 Current State: 82:[2, 41], Operations: ['60/30=2', '58-17=41'] Exploring Operation: 2*41=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 17, 14, 26, 74 ]
49
[ "17+74=91", "14*91=1274", "1274/26=49" ]
Current State: 49:[17, 14, 26, 74], Operations: [] Exploring Operation: 17+74=91, Resulting Numbers: [14, 26, 91] Generated Node #2: [14, 26, 91] from Operation: 17+74=91 Current State: 49:[14, 26, 91], Operations: ['17+74=91'] Exploring Operation: 14*91=1274, Resulting Numbers: [26, 1274] Generated Node #3: [26, 1274] from Operation: 14*91=1274 Current State: 49:[26, 1274], Operations: ['17+74=91', '14*91=1274'] Exploring Operation: 1274/26=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 44, 84, 20, 33 ]
93
[ "84-44=40", "20+33=53", "40+53=93" ]
Current State: 93:[44, 84, 20, 33], Operations: [] Exploring Operation: 84-44=40, Resulting Numbers: [20, 33, 40] Generated Node #2: [20, 33, 40] from Operation: 84-44=40 Current State: 93:[20, 33, 40], Operations: ['84-44=40'] Exploring Operation: 20+33=53, Resulting Numbers: [40, 53] Generated Node #3: [40, 53] from Operation: 20+33=53 Current State: 93:[40, 53], Operations: ['84-44=40', '20+33=53'] Exploring Operation: 40+53=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 16, 15, 65, 36 ]
28
[ "16-15=1", "65-36=29", "29-1=28" ]
Current State: 28:[16, 15, 65, 36], Operations: [] Exploring Operation: 16-15=1, Resulting Numbers: [65, 36, 1] Generated Node #2: [65, 36, 1] from Operation: 16-15=1 Current State: 28:[65, 36, 1], Operations: ['16-15=1'] Exploring Operation: 65-36=29, Resulting Numbers: [1, 29] Generated Node #3: [1, 29] from Operation: 65-36=29 Current State: 28:[1, 29], Operations: ['16-15=1', '65-36=29'] Exploring Operation: 29-1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 38, 39, 65, 16 ]
50
[ "39-38=1", "65-16=49", "1+49=50" ]
Current State: 50:[38, 39, 65, 16], Operations: [] Exploring Operation: 39-38=1, Resulting Numbers: [65, 16, 1] Generated Node #2: [65, 16, 1] from Operation: 39-38=1 Current State: 50:[65, 16, 1], Operations: ['39-38=1'] Exploring Operation: 65-16=49, Resulting Numbers: [1, 49] Generated Node #3: [1, 49] from Operation: 65-16=49 Current State: 50:[1, 49], Operations: ['39-38=1', '65-16=49'] Exploring Operation: 1+49=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 9, 4, 8, 71 ]
18
[ "9-8=1", "71+1=72", "72/4=18" ]
Current State: 18:[9, 4, 8, 71], Operations: [] Exploring Operation: 9-8=1, Resulting Numbers: [4, 71, 1] Generated Node #2: [4, 71, 1] from Operation: 9-8=1 Current State: 18:[4, 71, 1], Operations: ['9-8=1'] Exploring Operation: 71+1=72, Resulting Numbers: [4, 72] Generated Node #3: [4, 72] from Operation: 71+1=72 Current State: 18:[4, 72], Operations: ['9-8=1', '71+1=72'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 33, 50, 22, 22 ]
84
[ "33+50=83", "22/22=1", "83+1=84" ]
Current State: 84:[33, 50, 22, 22], Operations: [] Exploring Operation: 33+50=83, Resulting Numbers: [22, 22, 83] Generated Node #2: [22, 22, 83] from Operation: 33+50=83 Current State: 84:[22, 22, 83], Operations: ['33+50=83'] Exploring Operation: 22/22=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 22/22=1 Current State: 84:[83, 1], Operations: ['33+50=83', '22/22=1'] Exploring Operation: 83+1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 54, 3, 60, 20 ]
66
[ "60-54=6", "3*20=60", "6+60=66" ]
Current State: 66:[54, 3, 60, 20], Operations: [] Exploring Operation: 60-54=6, Resulting Numbers: [3, 20, 6] Generated Node #2: [3, 20, 6] from Operation: 60-54=6 Current State: 66:[3, 20, 6], Operations: ['60-54=6'] Exploring Operation: 3*20=60, Resulting Numbers: [6, 60] Generated Node #3: [6, 60] from Operation: 3*20=60 Current State: 66:[6, 60], Operations: ['60-54=6', '3*20=60'] Exploring Operation: 6+60=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 53, 17, 88, 33 ]
51
[ "53+17=70", "88+33=121", "121-70=51" ]
Current State: 51:[53, 17, 88, 33], Operations: [] Exploring Operation: 53+17=70, Resulting Numbers: [88, 33, 70] Generated Node #2: [88, 33, 70] from Operation: 53+17=70 Current State: 51:[88, 33, 70], Operations: ['53+17=70'] Exploring Operation: 88+33=121, Resulting Numbers: [70, 121] Generated Node #3: [70, 121] from Operation: 88+33=121 Current State: 51:[70, 121], Operations: ['53+17=70', '88+33=121'] Exploring Operation: 121-70=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 21, 26, 4, 29 ]
80
[ "21+26=47", "4+29=33", "47+33=80" ]
Current State: 80:[21, 26, 4, 29], Operations: [] Exploring Operation: 21+26=47, Resulting Numbers: [4, 29, 47] Generated Node #2: [4, 29, 47] from Operation: 21+26=47 Current State: 80:[4, 29, 47], Operations: ['21+26=47'] Exploring Operation: 4+29=33, Resulting Numbers: [47, 33] Generated Node #3: [47, 33] from Operation: 4+29=33 Current State: 80:[47, 33], Operations: ['21+26=47', '4+29=33'] Exploring Operation: 47+33=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 68, 76, 9, 14 ]
86
[ "76-68=8", "9*8=72", "14+72=86" ]
Current State: 86:[68, 76, 9, 14], Operations: [] Exploring Operation: 76-68=8, Resulting Numbers: [9, 14, 8] Generated Node #2: [9, 14, 8] from Operation: 76-68=8 Current State: 86:[9, 14, 8], Operations: ['76-68=8'] Exploring Operation: 9*8=72, Resulting Numbers: [14, 72] Generated Node #3: [14, 72] from Operation: 9*8=72 Current State: 86:[14, 72], Operations: ['76-68=8', '9*8=72'] Exploring Operation: 14+72=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 13, 66, 26, 36 ]
51
[ "26/13=2", "66+36=102", "102/2=51" ]
Current State: 51:[13, 66, 26, 36], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [66, 36, 2] Generated Node #2: [66, 36, 2] from Operation: 26/13=2 Current State: 51:[66, 36, 2], Operations: ['26/13=2'] Exploring Operation: 66+36=102, Resulting Numbers: [2, 102] Generated Node #3: [2, 102] from Operation: 66+36=102 Current State: 51:[2, 102], Operations: ['26/13=2', '66+36=102'] Exploring Operation: 102/2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 5, 88, 49, 13 ]
92
[ "49-13=36", "5*36=180", "180-88=92" ]
Current State: 92:[5, 88, 49, 13], Operations: [] Exploring Operation: 49-13=36, Resulting Numbers: [5, 88, 36] Generated Node #2: [5, 88, 36] from Operation: 49-13=36 Current State: 92:[5, 88, 36], Operations: ['49-13=36'] Exploring Operation: 5*36=180, Resulting Numbers: [88, 180] Generated Node #3: [88, 180] from Operation: 5*36=180 Current State: 92:[88, 180], Operations: ['49-13=36', '5*36=180'] Exploring Operation: 180-88=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 55, 2, 13, 60 ]
78
[ "55-13=42", "2*60=120", "120-42=78" ]
Current State: 78:[55, 2, 13, 60], Operations: [] Exploring Operation: 55-13=42, Resulting Numbers: [2, 60, 42] Generated Node #2: [2, 60, 42] from Operation: 55-13=42 Current State: 78:[2, 60, 42], Operations: ['55-13=42'] Exploring Operation: 2*60=120, Resulting Numbers: [42, 120] Generated Node #3: [42, 120] from Operation: 2*60=120 Current State: 78:[42, 120], Operations: ['55-13=42', '2*60=120'] Exploring Operation: 120-42=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 39, 8, 89, 19 ]
77
[ "39-8=31", "89+19=108", "108-31=77" ]
Current State: 77:[39, 8, 89, 19], Operations: [] Exploring Operation: 39-8=31, Resulting Numbers: [89, 19, 31] Generated Node #2: [89, 19, 31] from Operation: 39-8=31 Current State: 77:[89, 19, 31], Operations: ['39-8=31'] Exploring Operation: 89+19=108, Resulting Numbers: [31, 108] Generated Node #3: [31, 108] from Operation: 89+19=108 Current State: 77:[31, 108], Operations: ['39-8=31', '89+19=108'] Exploring Operation: 108-31=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 86, 95, 40, 61 ]
80
[ "86+95=181", "40+61=101", "181-101=80" ]
Current State: 80:[86, 95, 40, 61], Operations: [] Exploring Operation: 86+95=181, Resulting Numbers: [40, 61, 181] Generated Node #2: [40, 61, 181] from Operation: 86+95=181 Current State: 80:[40, 61, 181], Operations: ['86+95=181'] Exploring Operation: 40+61=101, Resulting Numbers: [181, 101] Generated Node #3: [181, 101] from Operation: 40+61=101 Current State: 80:[181, 101], Operations: ['86+95=181', '40+61=101'] Exploring Operation: 181-101=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 39, 84, 67, 56 ]
78
[ "84-39=45", "67+56=123", "123-45=78" ]
Current State: 78:[39, 84, 67, 56], Operations: [] Exploring Operation: 84-39=45, Resulting Numbers: [67, 56, 45] Generated Node #2: [67, 56, 45] from Operation: 84-39=45 Current State: 78:[67, 56, 45], Operations: ['84-39=45'] Exploring Operation: 67+56=123, Resulting Numbers: [45, 123] Generated Node #3: [45, 123] from Operation: 67+56=123 Current State: 78:[45, 123], Operations: ['84-39=45', '67+56=123'] Exploring Operation: 123-45=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 32, 14, 96, 15 ]
59
[ "96/32=3", "15*3=45", "14+45=59" ]
Current State: 59:[32, 14, 96, 15], Operations: [] Exploring Operation: 96/32=3, Resulting Numbers: [14, 15, 3] Generated Node #2: [14, 15, 3] from Operation: 96/32=3 Current State: 59:[14, 15, 3], Operations: ['96/32=3'] Exploring Operation: 15*3=45, Resulting Numbers: [14, 45] Generated Node #3: [14, 45] from Operation: 15*3=45 Current State: 59:[14, 45], Operations: ['96/32=3', '15*3=45'] Exploring Operation: 14+45=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 2, 60, 70, 31 ]
23
[ "2+60=62", "70-31=39", "62-39=23" ]
Current State: 23:[2, 60, 70, 31], Operations: [] Exploring Operation: 2+60=62, Resulting Numbers: [70, 31, 62] Generated Node #2: [70, 31, 62] from Operation: 2+60=62 Current State: 23:[70, 31, 62], Operations: ['2+60=62'] Exploring Operation: 70-31=39, Resulting Numbers: [62, 39] Generated Node #3: [62, 39] from Operation: 70-31=39 Current State: 23:[62, 39], Operations: ['2+60=62', '70-31=39'] Exploring Operation: 62-39=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 4, 33, 9, 70 ]
17
[ "4*70=280", "33*9=297", "297-280=17" ]
Current State: 17:[4, 33, 9, 70], Operations: [] Exploring Operation: 4*70=280, Resulting Numbers: [33, 9, 280] Generated Node #2: [33, 9, 280] from Operation: 4*70=280 Current State: 17:[33, 9, 280], Operations: ['4*70=280'] Exploring Operation: 33*9=297, Resulting Numbers: [280, 297] Generated Node #3: [280, 297] from Operation: 33*9=297 Current State: 17:[280, 297], Operations: ['4*70=280', '33*9=297'] Exploring Operation: 297-280=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 61, 15, 75, 53 ]
40
[ "61-53=8", "75/15=5", "8*5=40" ]
Current State: 40:[61, 15, 75, 53], Operations: [] Exploring Operation: 61-53=8, Resulting Numbers: [15, 75, 8] Generated Node #2: [15, 75, 8] from Operation: 61-53=8 Current State: 40:[15, 75, 8], Operations: ['61-53=8'] Exploring Operation: 75/15=5, Resulting Numbers: [8, 5] Generated Node #3: [8, 5] from Operation: 75/15=5 Current State: 40:[8, 5], Operations: ['61-53=8', '75/15=5'] Exploring Operation: 8*5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 74, 3, 41, 61 ]
80
[ "74-61=13", "3*13=39", "41+39=80" ]
Current State: 80:[74, 3, 41, 61], Operations: [] Exploring Operation: 74-61=13, Resulting Numbers: [3, 41, 13] Generated Node #2: [3, 41, 13] from Operation: 74-61=13 Current State: 80:[3, 41, 13], Operations: ['74-61=13'] Exploring Operation: 3*13=39, Resulting Numbers: [41, 39] Generated Node #3: [41, 39] from Operation: 3*13=39 Current State: 80:[41, 39], Operations: ['74-61=13', '3*13=39'] Exploring Operation: 41+39=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 86, 13, 38, 36 ]
60
[ "38-36=2", "13*2=26", "86-26=60" ]
Current State: 60:[86, 13, 38, 36], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [86, 13, 2] Generated Node #2: [86, 13, 2] from Operation: 38-36=2 Current State: 60:[86, 13, 2], Operations: ['38-36=2'] Exploring Operation: 13*2=26, Resulting Numbers: [86, 26] Generated Node #3: [86, 26] from Operation: 13*2=26 Current State: 60:[86, 26], Operations: ['38-36=2', '13*2=26'] Exploring Operation: 86-26=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 19, 86, 3, 56 ]
85
[ "19*3=57", "86+56=142", "142-57=85" ]
Current State: 85:[19, 86, 3, 56], Operations: [] Exploring Operation: 19*3=57, Resulting Numbers: [86, 56, 57] Generated Node #2: [86, 56, 57] from Operation: 19*3=57 Current State: 85:[86, 56, 57], Operations: ['19*3=57'] Exploring Operation: 86+56=142, Resulting Numbers: [57, 142] Generated Node #3: [57, 142] from Operation: 86+56=142 Current State: 85:[57, 142], Operations: ['19*3=57', '86+56=142'] Exploring Operation: 142-57=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4