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
[ 75, 18, 78, 84 ]
76
[ "84-75=9", "18/9=2", "78-2=76" ]
Current State: 76:[75, 18, 78, 84], Operations: [] Exploring Operation: 84-75=9, Resulting Numbers: [18, 78, 9] Generated Node #2: [18, 78, 9] from Operation: 84-75=9 Current State: 76:[18, 78, 9], Operations: ['84-75=9'] Exploring Operation: 18/9=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 18/9=2 Current State: 76:[78, 2], Operations: ['84-75=9', '18/9=2'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 45, 8, 4, 18 ]
31
[ "45+8=53", "4+18=22", "53-22=31" ]
Current State: 31:[45, 8, 4, 18], Operations: [] Exploring Operation: 45+8=53, Resulting Numbers: [4, 18, 53] Generated Node #2: [4, 18, 53] from Operation: 45+8=53 Current State: 31:[4, 18, 53], Operations: ['45+8=53'] Exploring Operation: 4+18=22, Resulting Numbers: [53, 22] Generated Node #3: [53, 22] from Operation: 4+18=22 Current State: 31:[53, 22], Operations: ['45+8=53', '4+18=22'] Exploring Operation: 53-22=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 54, 67, 48, 73 ]
36
[ "54-48=6", "73-67=6", "6*6=36" ]
Current State: 36:[54, 67, 48, 73], Operations: [] Exploring Operation: 54-48=6, Resulting Numbers: [67, 73, 6] Generated Node #2: [67, 73, 6] from Operation: 54-48=6 Current State: 36:[67, 73, 6], Operations: ['54-48=6'] Exploring Operation: 73-67=6, Resulting Numbers: [6, 6] Generated Node #3: [6, 6] from Operation: 73-67=6 Current State: 36:[6, 6], Operations: ['54-48=6', '73-67=6'] Exploring Operation: 6*6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 91, 50, 67, 68 ]
41
[ "91-50=41", "68-67=1", "41*1=41" ]
Current State: 41:[91, 50, 67, 68], Operations: [] Exploring Operation: 91-50=41, Resulting Numbers: [67, 68, 41] Generated Node #2: [67, 68, 41] from Operation: 91-50=41 Current State: 41:[67, 68, 41], Operations: ['91-50=41'] Exploring Operation: 68-67=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 68-67=1 Current State: 41:[41, 1], Operations: ['91-50=41', '68-67=1'] Exploring Operation: 41*1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 89, 2, 87, 89 ]
84
[ "89/89=1", "87-2=85", "85-1=84" ]
Current State: 84:[89, 2, 87, 89], Operations: [] Exploring Operation: 89/89=1, Resulting Numbers: [2, 87, 1] Generated Node #2: [2, 87, 1] from Operation: 89/89=1 Current State: 84:[2, 87, 1], Operations: ['89/89=1'] Exploring Operation: 87-2=85, Resulting Numbers: [1, 85] Generated Node #3: [1, 85] from Operation: 87-2=85 Current State: 84:[1, 85], Operations: ['89/89=1', '87-2=85'] Exploring Operation: 85-1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 40, 90, 70, 13 ]
25
[ "70*13=910", "90+910=1000", "1000/40=25" ]
Current State: 25:[40, 90, 70, 13], Operations: [] Exploring Operation: 70*13=910, Resulting Numbers: [40, 90, 910] Generated Node #2: [40, 90, 910] from Operation: 70*13=910 Current State: 25:[40, 90, 910], Operations: ['70*13=910'] Exploring Operation: 90+910=1000, Resulting Numbers: [40, 1000] Generated Node #3: [40, 1000] from Operation: 90+910=1000 Current State: 25:[40, 1000], Operations: ['70*13=910', '90+910=1000'] Exploring Operation: 1000/40=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 66, 70, 92, 12 ]
19
[ "66+70=136", "92+136=228", "228/12=19" ]
Current State: 19:[66, 70, 92, 12], Operations: [] Exploring Operation: 66+70=136, Resulting Numbers: [92, 12, 136] Generated Node #2: [92, 12, 136] from Operation: 66+70=136 Current State: 19:[92, 12, 136], Operations: ['66+70=136'] Exploring Operation: 92+136=228, Resulting Numbers: [12, 228] Generated Node #3: [12, 228] from Operation: 92+136=228 Current State: 19:[12, 228], Operations: ['66+70=136', '92+136=228'] Exploring Operation: 228/12=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 39, 79, 17, 73 ]
81
[ "73-39=34", "34/17=2", "79+2=81" ]
Current State: 81:[39, 79, 17, 73], Operations: [] Exploring Operation: 73-39=34, Resulting Numbers: [79, 17, 34] Generated Node #2: [79, 17, 34] from Operation: 73-39=34 Current State: 81:[79, 17, 34], Operations: ['73-39=34'] Exploring Operation: 34/17=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 34/17=2 Current State: 81:[79, 2], Operations: ['73-39=34', '34/17=2'] Exploring Operation: 79+2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 17, 86, 81, 55 ]
67
[ "86-17=69", "81+55=136", "136-69=67" ]
Current State: 67:[17, 86, 81, 55], Operations: [] Exploring Operation: 86-17=69, Resulting Numbers: [81, 55, 69] Generated Node #2: [81, 55, 69] from Operation: 86-17=69 Current State: 67:[81, 55, 69], Operations: ['86-17=69'] Exploring Operation: 81+55=136, Resulting Numbers: [69, 136] Generated Node #3: [69, 136] from Operation: 81+55=136 Current State: 67:[69, 136], Operations: ['86-17=69', '81+55=136'] Exploring Operation: 136-69=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 89, 60, 5, 30 ]
47
[ "89+5=94", "60/30=2", "94/2=47" ]
Current State: 47:[89, 60, 5, 30], Operations: [] Exploring Operation: 89+5=94, Resulting Numbers: [60, 30, 94] Generated Node #2: [60, 30, 94] from Operation: 89+5=94 Current State: 47:[60, 30, 94], Operations: ['89+5=94'] Exploring Operation: 60/30=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 60/30=2 Current State: 47:[94, 2], Operations: ['89+5=94', '60/30=2'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 52, 76, 36, 40 ]
20
[ "76-52=24", "40-36=4", "24-4=20" ]
Current State: 20:[52, 76, 36, 40], Operations: [] Exploring Operation: 76-52=24, Resulting Numbers: [36, 40, 24] Generated Node #2: [36, 40, 24] from Operation: 76-52=24 Current State: 20:[36, 40, 24], Operations: ['76-52=24'] Exploring Operation: 40-36=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 40-36=4 Current State: 20:[24, 4], Operations: ['76-52=24', '40-36=4'] Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 23, 35, 4, 88 ]
85
[ "35-23=12", "12/4=3", "88-3=85" ]
Current State: 85:[23, 35, 4, 88], Operations: [] Exploring Operation: 35-23=12, Resulting Numbers: [4, 88, 12] Generated Node #2: [4, 88, 12] from Operation: 35-23=12 Current State: 85:[4, 88, 12], Operations: ['35-23=12'] Exploring Operation: 12/4=3, Resulting Numbers: [88, 3] Generated Node #3: [88, 3] from Operation: 12/4=3 Current State: 85:[88, 3], Operations: ['35-23=12', '12/4=3'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 54, 34, 6, 81 ]
13
[ "54+34=88", "81-6=75", "88-75=13" ]
Current State: 13:[54, 34, 6, 81], Operations: [] Exploring Operation: 54+34=88, Resulting Numbers: [6, 81, 88] Generated Node #2: [6, 81, 88] from Operation: 54+34=88 Current State: 13:[6, 81, 88], Operations: ['54+34=88'] Exploring Operation: 81-6=75, Resulting Numbers: [88, 75] Generated Node #3: [88, 75] from Operation: 81-6=75 Current State: 13:[88, 75], Operations: ['54+34=88', '81-6=75'] Exploring Operation: 88-75=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 73, 73, 50, 96 ]
46
[ "73-73=0", "96-50=46", "0+46=46" ]
Current State: 46:[73, 73, 50, 96], Operations: [] Exploring Operation: 73-73=0, Resulting Numbers: [50, 96, 0] Generated Node #2: [50, 96, 0] from Operation: 73-73=0 Current State: 46:[50, 96, 0], Operations: ['73-73=0'] Exploring Operation: 96-50=46, Resulting Numbers: [0, 46] Generated Node #3: [0, 46] from Operation: 96-50=46 Current State: 46:[0, 46], Operations: ['73-73=0', '96-50=46'] Exploring Operation: 0+46=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 72, 62, 17, 55 ]
96
[ "72+62=134", "55-17=38", "134-38=96" ]
Current State: 96:[72, 62, 17, 55], Operations: [] Exploring Operation: 72+62=134, Resulting Numbers: [17, 55, 134] Generated Node #2: [17, 55, 134] from Operation: 72+62=134 Current State: 96:[17, 55, 134], Operations: ['72+62=134'] Exploring Operation: 55-17=38, Resulting Numbers: [134, 38] Generated Node #3: [134, 38] from Operation: 55-17=38 Current State: 96:[134, 38], Operations: ['72+62=134', '55-17=38'] Exploring Operation: 134-38=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 91, 63, 29, 86 ]
87
[ "91-63=28", "29+86=115", "115-28=87" ]
Current State: 87:[91, 63, 29, 86], Operations: [] Exploring Operation: 91-63=28, Resulting Numbers: [29, 86, 28] Generated Node #2: [29, 86, 28] from Operation: 91-63=28 Current State: 87:[29, 86, 28], Operations: ['91-63=28'] Exploring Operation: 29+86=115, Resulting Numbers: [28, 115] Generated Node #3: [28, 115] from Operation: 29+86=115 Current State: 87:[28, 115], Operations: ['91-63=28', '29+86=115'] Exploring Operation: 115-28=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 58, 66, 2, 70 ]
90
[ "70-58=12", "2*12=24", "66+24=90" ]
Current State: 90:[58, 66, 2, 70], Operations: [] Exploring Operation: 70-58=12, Resulting Numbers: [66, 2, 12] Generated Node #2: [66, 2, 12] from Operation: 70-58=12 Current State: 90:[66, 2, 12], Operations: ['70-58=12'] Exploring Operation: 2*12=24, Resulting Numbers: [66, 24] Generated Node #3: [66, 24] from Operation: 2*12=24 Current State: 90:[66, 24], Operations: ['70-58=12', '2*12=24'] Exploring Operation: 66+24=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 34, 90, 9, 59 ]
83
[ "34+59=93", "90/9=10", "93-10=83" ]
Current State: 83:[34, 90, 9, 59], Operations: [] Exploring Operation: 34+59=93, Resulting Numbers: [90, 9, 93] Generated Node #2: [90, 9, 93] from Operation: 34+59=93 Current State: 83:[90, 9, 93], Operations: ['34+59=93'] Exploring Operation: 90/9=10, Resulting Numbers: [93, 10] Generated Node #3: [93, 10] from Operation: 90/9=10 Current State: 83:[93, 10], Operations: ['34+59=93', '90/9=10'] Exploring Operation: 93-10=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 97, 11, 3, 89 ]
41
[ "97-89=8", "11*3=33", "8+33=41" ]
Current State: 41:[97, 11, 3, 89], Operations: [] Exploring Operation: 97-89=8, Resulting Numbers: [11, 3, 8] Generated Node #2: [11, 3, 8] from Operation: 97-89=8 Current State: 41:[11, 3, 8], Operations: ['97-89=8'] Exploring Operation: 11*3=33, Resulting Numbers: [8, 33] Generated Node #3: [8, 33] from Operation: 11*3=33 Current State: 41:[8, 33], Operations: ['97-89=8', '11*3=33'] Exploring Operation: 8+33=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 47, 1, 20, 11 ]
55
[ "47-1=46", "20-11=9", "46+9=55" ]
Current State: 55:[47, 1, 20, 11], Operations: [] Exploring Operation: 47-1=46, Resulting Numbers: [20, 11, 46] Generated Node #2: [20, 11, 46] from Operation: 47-1=46 Current State: 55:[20, 11, 46], Operations: ['47-1=46'] Exploring Operation: 20-11=9, Resulting Numbers: [46, 9] Generated Node #3: [46, 9] from Operation: 20-11=9 Current State: 55:[46, 9], Operations: ['47-1=46', '20-11=9'] Exploring Operation: 46+9=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 4, 44, 20, 22 ]
31
[ "44/4=11", "20+22=42", "42-11=31" ]
Current State: 31:[4, 44, 20, 22], Operations: [] Exploring Operation: 44/4=11, Resulting Numbers: [20, 22, 11] Generated Node #2: [20, 22, 11] from Operation: 44/4=11 Current State: 31:[20, 22, 11], Operations: ['44/4=11'] Exploring Operation: 20+22=42, Resulting Numbers: [11, 42] Generated Node #3: [11, 42] from Operation: 20+22=42 Current State: 31:[11, 42], Operations: ['44/4=11', '20+22=42'] Exploring Operation: 42-11=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 22, 25, 32, 43 ]
50
[ "22*25=550", "43-32=11", "550/11=50" ]
Current State: 50:[22, 25, 32, 43], Operations: [] Exploring Operation: 22*25=550, Resulting Numbers: [32, 43, 550] Generated Node #2: [32, 43, 550] from Operation: 22*25=550 Current State: 50:[32, 43, 550], Operations: ['22*25=550'] Exploring Operation: 43-32=11, Resulting Numbers: [550, 11] Generated Node #3: [550, 11] from Operation: 43-32=11 Current State: 50:[550, 11], Operations: ['22*25=550', '43-32=11'] Exploring Operation: 550/11=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 81, 37, 72, 89 ]
61
[ "81-37=44", "89-72=17", "44+17=61" ]
Current State: 61:[81, 37, 72, 89], Operations: [] Exploring Operation: 81-37=44, Resulting Numbers: [72, 89, 44] Generated Node #2: [72, 89, 44] from Operation: 81-37=44 Current State: 61:[72, 89, 44], Operations: ['81-37=44'] Exploring Operation: 89-72=17, Resulting Numbers: [44, 17] Generated Node #3: [44, 17] from Operation: 89-72=17 Current State: 61:[44, 17], Operations: ['81-37=44', '89-72=17'] Exploring Operation: 44+17=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 92, 19, 4, 29 ]
35
[ "92+19=111", "29+111=140", "140/4=35" ]
Current State: 35:[92, 19, 4, 29], Operations: [] Exploring Operation: 92+19=111, Resulting Numbers: [4, 29, 111] Generated Node #2: [4, 29, 111] from Operation: 92+19=111 Current State: 35:[4, 29, 111], Operations: ['92+19=111'] Exploring Operation: 29+111=140, Resulting Numbers: [4, 140] Generated Node #3: [4, 140] from Operation: 29+111=140 Current State: 35:[4, 140], Operations: ['92+19=111', '29+111=140'] Exploring Operation: 140/4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 37, 8, 86, 15 ]
71
[ "86-37=49", "8*15=120", "120-49=71" ]
Current State: 71:[37, 8, 86, 15], Operations: [] Exploring Operation: 86-37=49, Resulting Numbers: [8, 15, 49] Generated Node #2: [8, 15, 49] from Operation: 86-37=49 Current State: 71:[8, 15, 49], Operations: ['86-37=49'] Exploring Operation: 8*15=120, Resulting Numbers: [49, 120] Generated Node #3: [49, 120] from Operation: 8*15=120 Current State: 71:[49, 120], Operations: ['86-37=49', '8*15=120'] Exploring Operation: 120-49=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 7, 27, 2, 72 ]
11
[ "7+2=9", "27+72=99", "99/9=11" ]
Current State: 11:[7, 27, 2, 72], Operations: [] Exploring Operation: 7+2=9, Resulting Numbers: [27, 72, 9] Generated Node #2: [27, 72, 9] from Operation: 7+2=9 Current State: 11:[27, 72, 9], Operations: ['7+2=9'] Exploring Operation: 27+72=99, Resulting Numbers: [9, 99] Generated Node #3: [9, 99] from Operation: 27+72=99 Current State: 11:[9, 99], Operations: ['7+2=9', '27+72=99'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 64, 70, 48, 43 ]
50
[ "48-43=5", "70/5=14", "64-14=50" ]
Current State: 50:[64, 70, 48, 43], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [64, 70, 5] Generated Node #2: [64, 70, 5] from Operation: 48-43=5 Current State: 50:[64, 70, 5], Operations: ['48-43=5'] Exploring Operation: 70/5=14, Resulting Numbers: [64, 14] Generated Node #3: [64, 14] from Operation: 70/5=14 Current State: 50:[64, 14], Operations: ['48-43=5', '70/5=14'] Exploring Operation: 64-14=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 16, 74, 37, 39 ]
25
[ "39-16=23", "74/37=2", "23+2=25" ]
Current State: 25:[16, 74, 37, 39], Operations: [] Exploring Operation: 39-16=23, Resulting Numbers: [74, 37, 23] Generated Node #2: [74, 37, 23] from Operation: 39-16=23 Current State: 25:[74, 37, 23], Operations: ['39-16=23'] Exploring Operation: 74/37=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 74/37=2 Current State: 25:[23, 2], Operations: ['39-16=23', '74/37=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 75, 44, 10, 75 ]
59
[ "75+75=150", "150/10=15", "44+15=59" ]
Current State: 59:[75, 44, 10, 75], Operations: [] Exploring Operation: 75+75=150, Resulting Numbers: [44, 10, 150] Generated Node #2: [44, 10, 150] from Operation: 75+75=150 Current State: 59:[44, 10, 150], Operations: ['75+75=150'] Exploring Operation: 150/10=15, Resulting Numbers: [44, 15] Generated Node #3: [44, 15] from Operation: 150/10=15 Current State: 59:[44, 15], Operations: ['75+75=150', '150/10=15'] Exploring Operation: 44+15=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 80, 6, 36, 24 ]
64
[ "80*24=1920", "36-6=30", "1920/30=64" ]
Current State: 64:[80, 6, 36, 24], Operations: [] Exploring Operation: 80*24=1920, Resulting Numbers: [6, 36, 1920] Generated Node #2: [6, 36, 1920] from Operation: 80*24=1920 Current State: 64:[6, 36, 1920], Operations: ['80*24=1920'] Exploring Operation: 36-6=30, Resulting Numbers: [1920, 30] Generated Node #3: [1920, 30] from Operation: 36-6=30 Current State: 64:[1920, 30], Operations: ['80*24=1920', '36-6=30'] Exploring Operation: 1920/30=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 40, 40, 50, 41 ]
71
[ "40+40=80", "50-41=9", "80-9=71" ]
Current State: 71:[40, 40, 50, 41], Operations: [] Exploring Operation: 40+40=80, Resulting Numbers: [50, 41, 80] Generated Node #2: [50, 41, 80] from Operation: 40+40=80 Current State: 71:[50, 41, 80], Operations: ['40+40=80'] Exploring Operation: 50-41=9, Resulting Numbers: [80, 9] Generated Node #3: [80, 9] from Operation: 50-41=9 Current State: 71:[80, 9], Operations: ['40+40=80', '50-41=9'] Exploring Operation: 80-9=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 76, 80, 21, 91 ]
74
[ "80-76=4", "91-21=70", "4+70=74" ]
Current State: 74:[76, 80, 21, 91], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [21, 91, 4] Generated Node #2: [21, 91, 4] from Operation: 80-76=4 Current State: 74:[21, 91, 4], Operations: ['80-76=4'] Exploring Operation: 91-21=70, Resulting Numbers: [4, 70] Generated Node #3: [4, 70] from Operation: 91-21=70 Current State: 74:[4, 70], Operations: ['80-76=4', '91-21=70'] Exploring Operation: 4+70=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 7, 46, 43, 77 ]
100
[ "77/7=11", "46+43=89", "11+89=100" ]
Current State: 100:[7, 46, 43, 77], Operations: [] Exploring Operation: 77/7=11, Resulting Numbers: [46, 43, 11] Generated Node #2: [46, 43, 11] from Operation: 77/7=11 Current State: 100:[46, 43, 11], Operations: ['77/7=11'] Exploring Operation: 46+43=89, Resulting Numbers: [11, 89] Generated Node #3: [11, 89] from Operation: 46+43=89 Current State: 100:[11, 89], Operations: ['77/7=11', '46+43=89'] Exploring Operation: 11+89=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 69, 53, 56, 75 ]
18
[ "75-69=6", "56-53=3", "6*3=18" ]
Current State: 18:[69, 53, 56, 75], Operations: [] Exploring Operation: 75-69=6, Resulting Numbers: [53, 56, 6] Generated Node #2: [53, 56, 6] from Operation: 75-69=6 Current State: 18:[53, 56, 6], Operations: ['75-69=6'] Exploring Operation: 56-53=3, Resulting Numbers: [6, 3] Generated Node #3: [6, 3] from Operation: 56-53=3 Current State: 18:[6, 3], Operations: ['75-69=6', '56-53=3'] Exploring Operation: 6*3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 21, 77, 30, 83 ]
27
[ "77*30=2310", "2310/21=110", "110-83=27" ]
Current State: 27:[21, 77, 30, 83], Operations: [] Exploring Operation: 77*30=2310, Resulting Numbers: [21, 83, 2310] Generated Node #2: [21, 83, 2310] from Operation: 77*30=2310 Current State: 27:[21, 83, 2310], Operations: ['77*30=2310'] Exploring Operation: 2310/21=110, Resulting Numbers: [83, 110] Generated Node #3: [83, 110] from Operation: 2310/21=110 Current State: 27:[83, 110], Operations: ['77*30=2310', '2310/21=110'] Exploring Operation: 110-83=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 55, 70, 27, 75 ]
77
[ "55+70=125", "75-27=48", "125-48=77" ]
Current State: 77:[55, 70, 27, 75], Operations: [] Exploring Operation: 55+70=125, Resulting Numbers: [27, 75, 125] Generated Node #2: [27, 75, 125] from Operation: 55+70=125 Current State: 77:[27, 75, 125], Operations: ['55+70=125'] Exploring Operation: 75-27=48, Resulting Numbers: [125, 48] Generated Node #3: [125, 48] from Operation: 75-27=48 Current State: 77:[125, 48], Operations: ['55+70=125', '75-27=48'] Exploring Operation: 125-48=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 88, 71, 34, 28 ]
50
[ "88*28=2464", "71*34=2414", "2464-2414=50" ]
Current State: 50:[88, 71, 34, 28], Operations: [] Exploring Operation: 88*28=2464, Resulting Numbers: [71, 34, 2464] Generated Node #2: [71, 34, 2464] from Operation: 88*28=2464 Current State: 50:[71, 34, 2464], Operations: ['88*28=2464'] Exploring Operation: 71*34=2414, Resulting Numbers: [2464, 2414] Generated Node #3: [2464, 2414] from Operation: 71*34=2414 Current State: 50:[2464, 2414], Operations: ['88*28=2464', '71*34=2414'] Exploring Operation: 2464-2414=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 12, 63, 44, 17 ]
41
[ "63-12=51", "51/17=3", "44-3=41" ]
Current State: 41:[12, 63, 44, 17], Operations: [] Exploring Operation: 63-12=51, Resulting Numbers: [44, 17, 51] Generated Node #2: [44, 17, 51] from Operation: 63-12=51 Current State: 41:[44, 17, 51], Operations: ['63-12=51'] Exploring Operation: 51/17=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 51/17=3 Current State: 41:[44, 3], Operations: ['63-12=51', '51/17=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 21, 55, 26, 55 ]
21
[ "55-55=0", "26*0=0", "21+0=21" ]
Current State: 21:[21, 55, 26, 55], Operations: [] Exploring Operation: 55-55=0, Resulting Numbers: [21, 26, 0] Generated Node #2: [21, 26, 0] from Operation: 55-55=0 Current State: 21:[21, 26, 0], Operations: ['55-55=0'] Exploring Operation: 26*0=0, Resulting Numbers: [21, 0] Generated Node #3: [21, 0] from Operation: 26*0=0 Current State: 21:[21, 0], Operations: ['55-55=0', '26*0=0'] Exploring Operation: 21+0=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 58, 31, 19, 61 ]
47
[ "58+31=89", "61-19=42", "89-42=47" ]
Current State: 47:[58, 31, 19, 61], Operations: [] Exploring Operation: 58+31=89, Resulting Numbers: [19, 61, 89] Generated Node #2: [19, 61, 89] from Operation: 58+31=89 Current State: 47:[19, 61, 89], Operations: ['58+31=89'] Exploring Operation: 61-19=42, Resulting Numbers: [89, 42] Generated Node #3: [89, 42] from Operation: 61-19=42 Current State: 47:[89, 42], Operations: ['58+31=89', '61-19=42'] Exploring Operation: 89-42=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 63, 93, 19, 3 ]
95
[ "63/3=21", "93-19=74", "21+74=95" ]
Current State: 95:[63, 93, 19, 3], Operations: [] Exploring Operation: 63/3=21, Resulting Numbers: [93, 19, 21] Generated Node #2: [93, 19, 21] from Operation: 63/3=21 Current State: 95:[93, 19, 21], Operations: ['63/3=21'] Exploring Operation: 93-19=74, Resulting Numbers: [21, 74] Generated Node #3: [21, 74] from Operation: 93-19=74 Current State: 95:[21, 74], Operations: ['63/3=21', '93-19=74'] Exploring Operation: 21+74=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 41, 52, 33, 4 ]
79
[ "41*4=164", "52+33=85", "164-85=79" ]
Current State: 79:[41, 52, 33, 4], Operations: [] Exploring Operation: 41*4=164, Resulting Numbers: [52, 33, 164] Generated Node #2: [52, 33, 164] from Operation: 41*4=164 Current State: 79:[52, 33, 164], Operations: ['41*4=164'] Exploring Operation: 52+33=85, Resulting Numbers: [164, 85] Generated Node #3: [164, 85] from Operation: 52+33=85 Current State: 79:[164, 85], Operations: ['41*4=164', '52+33=85'] Exploring Operation: 164-85=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 92, 49, 68, 62 ]
11
[ "92+49=141", "68+62=130", "141-130=11" ]
Current State: 11:[92, 49, 68, 62], Operations: [] Exploring Operation: 92+49=141, Resulting Numbers: [68, 62, 141] Generated Node #2: [68, 62, 141] from Operation: 92+49=141 Current State: 11:[68, 62, 141], Operations: ['92+49=141'] Exploring Operation: 68+62=130, Resulting Numbers: [141, 130] Generated Node #3: [141, 130] from Operation: 68+62=130 Current State: 11:[141, 130], Operations: ['92+49=141', '68+62=130'] Exploring Operation: 141-130=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 18, 10, 43, 5 ]
34
[ "18*5=90", "90/10=9", "43-9=34" ]
Current State: 34:[18, 10, 43, 5], Operations: [] Exploring Operation: 18*5=90, Resulting Numbers: [10, 43, 90] Generated Node #2: [10, 43, 90] from Operation: 18*5=90 Current State: 34:[10, 43, 90], Operations: ['18*5=90'] Exploring Operation: 90/10=9, Resulting Numbers: [43, 9] Generated Node #3: [43, 9] from Operation: 90/10=9 Current State: 34:[43, 9], Operations: ['18*5=90', '90/10=9'] Exploring Operation: 43-9=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 23, 96, 84, 52 ]
41
[ "96-23=73", "84-52=32", "73-32=41" ]
Current State: 41:[23, 96, 84, 52], Operations: [] Exploring Operation: 96-23=73, Resulting Numbers: [84, 52, 73] Generated Node #2: [84, 52, 73] from Operation: 96-23=73 Current State: 41:[84, 52, 73], Operations: ['96-23=73'] Exploring Operation: 84-52=32, Resulting Numbers: [73, 32] Generated Node #3: [73, 32] from Operation: 84-52=32 Current State: 41:[73, 32], Operations: ['96-23=73', '84-52=32'] Exploring Operation: 73-32=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 84, 19, 47, 82 ]
100
[ "84-19=65", "82-47=35", "65+35=100" ]
Current State: 100:[84, 19, 47, 82], Operations: [] Exploring Operation: 84-19=65, Resulting Numbers: [47, 82, 65] Generated Node #2: [47, 82, 65] from Operation: 84-19=65 Current State: 100:[47, 82, 65], Operations: ['84-19=65'] Exploring Operation: 82-47=35, Resulting Numbers: [65, 35] Generated Node #3: [65, 35] from Operation: 82-47=35 Current State: 100:[65, 35], Operations: ['84-19=65', '82-47=35'] Exploring Operation: 65+35=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 55, 2, 69, 53 ]
63
[ "69-53=16", "16/2=8", "55+8=63" ]
Current State: 63:[55, 2, 69, 53], Operations: [] Exploring Operation: 69-53=16, Resulting Numbers: [55, 2, 16] Generated Node #2: [55, 2, 16] from Operation: 69-53=16 Current State: 63:[55, 2, 16], Operations: ['69-53=16'] Exploring Operation: 16/2=8, Resulting Numbers: [55, 8] Generated Node #3: [55, 8] from Operation: 16/2=8 Current State: 63:[55, 8], Operations: ['69-53=16', '16/2=8'] Exploring Operation: 55+8=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 4, 28, 6, 56 ]
82
[ "4+28=32", "56-6=50", "32+50=82" ]
Current State: 82:[4, 28, 6, 56], Operations: [] Exploring Operation: 4+28=32, Resulting Numbers: [6, 56, 32] Generated Node #2: [6, 56, 32] from Operation: 4+28=32 Current State: 82:[6, 56, 32], Operations: ['4+28=32'] Exploring Operation: 56-6=50, Resulting Numbers: [32, 50] Generated Node #3: [32, 50] from Operation: 56-6=50 Current State: 82:[32, 50], Operations: ['4+28=32', '56-6=50'] Exploring Operation: 32+50=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 84, 52, 57, 85 ]
67
[ "57-52=5", "85/5=17", "84-17=67" ]
Current State: 67:[84, 52, 57, 85], Operations: [] Exploring Operation: 57-52=5, Resulting Numbers: [84, 85, 5] Generated Node #2: [84, 85, 5] from Operation: 57-52=5 Current State: 67:[84, 85, 5], Operations: ['57-52=5'] Exploring Operation: 85/5=17, Resulting Numbers: [84, 17] Generated Node #3: [84, 17] from Operation: 85/5=17 Current State: 67:[84, 17], Operations: ['57-52=5', '85/5=17'] Exploring Operation: 84-17=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 87, 40, 93, 34 ]
12
[ "87-40=47", "93-34=59", "59-47=12" ]
Current State: 12:[87, 40, 93, 34], Operations: [] Exploring Operation: 87-40=47, Resulting Numbers: [93, 34, 47] Generated Node #2: [93, 34, 47] from Operation: 87-40=47 Current State: 12:[93, 34, 47], Operations: ['87-40=47'] Exploring Operation: 93-34=59, Resulting Numbers: [47, 59] Generated Node #3: [47, 59] from Operation: 93-34=59 Current State: 12:[47, 59], Operations: ['87-40=47', '93-34=59'] Exploring Operation: 59-47=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 19, 27, 15, 3 ]
23
[ "27-15=12", "12/3=4", "19+4=23" ]
Current State: 23:[19, 27, 15, 3], Operations: [] Exploring Operation: 27-15=12, Resulting Numbers: [19, 3, 12] Generated Node #2: [19, 3, 12] from Operation: 27-15=12 Current State: 23:[19, 3, 12], Operations: ['27-15=12'] Exploring Operation: 12/3=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 12/3=4 Current State: 23:[19, 4], Operations: ['27-15=12', '12/3=4'] Exploring Operation: 19+4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 41, 81, 45, 17 ]
68
[ "81-41=40", "45-17=28", "40+28=68" ]
Current State: 68:[41, 81, 45, 17], Operations: [] Exploring Operation: 81-41=40, Resulting Numbers: [45, 17, 40] Generated Node #2: [45, 17, 40] from Operation: 81-41=40 Current State: 68:[45, 17, 40], Operations: ['81-41=40'] Exploring Operation: 45-17=28, Resulting Numbers: [40, 28] Generated Node #3: [40, 28] from Operation: 45-17=28 Current State: 68:[40, 28], Operations: ['81-41=40', '45-17=28'] Exploring Operation: 40+28=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 53, 77, 33, 22 ]
66
[ "77-53=24", "24-22=2", "33*2=66" ]
Current State: 66:[53, 77, 33, 22], Operations: [] Exploring Operation: 77-53=24, Resulting Numbers: [33, 22, 24] Generated Node #2: [33, 22, 24] from Operation: 77-53=24 Current State: 66:[33, 22, 24], Operations: ['77-53=24'] Exploring Operation: 24-22=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 24-22=2 Current State: 66:[33, 2], Operations: ['77-53=24', '24-22=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 75, 54, 13, 9 ]
43
[ "75-54=21", "13+9=22", "21+22=43" ]
Current State: 43:[75, 54, 13, 9], Operations: [] Exploring Operation: 75-54=21, Resulting Numbers: [13, 9, 21] Generated Node #2: [13, 9, 21] from Operation: 75-54=21 Current State: 43:[13, 9, 21], Operations: ['75-54=21'] Exploring Operation: 13+9=22, Resulting Numbers: [21, 22] Generated Node #3: [21, 22] from Operation: 13+9=22 Current State: 43:[21, 22], Operations: ['75-54=21', '13+9=22'] Exploring Operation: 21+22=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 13, 82, 3, 38 ]
53
[ "82+38=120", "120/3=40", "13+40=53" ]
Current State: 53:[13, 82, 3, 38], Operations: [] Exploring Operation: 82+38=120, Resulting Numbers: [13, 3, 120] Generated Node #2: [13, 3, 120] from Operation: 82+38=120 Current State: 53:[13, 3, 120], Operations: ['82+38=120'] Exploring Operation: 120/3=40, Resulting Numbers: [13, 40] Generated Node #3: [13, 40] from Operation: 120/3=40 Current State: 53:[13, 40], Operations: ['82+38=120', '120/3=40'] Exploring Operation: 13+40=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 8, 71, 58, 9 ]
57
[ "8*9=72", "71+58=129", "129-72=57" ]
Current State: 57:[8, 71, 58, 9], Operations: [] Exploring Operation: 8*9=72, Resulting Numbers: [71, 58, 72] Generated Node #2: [71, 58, 72] from Operation: 8*9=72 Current State: 57:[71, 58, 72], Operations: ['8*9=72'] Exploring Operation: 71+58=129, Resulting Numbers: [72, 129] Generated Node #3: [72, 129] from Operation: 71+58=129 Current State: 57:[72, 129], Operations: ['8*9=72', '71+58=129'] Exploring Operation: 129-72=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 15, 95, 7, 60 ]
70
[ "15*7=105", "95-60=35", "105-35=70" ]
Current State: 70:[15, 95, 7, 60], Operations: [] Exploring Operation: 15*7=105, Resulting Numbers: [95, 60, 105] Generated Node #2: [95, 60, 105] from Operation: 15*7=105 Current State: 70:[95, 60, 105], Operations: ['15*7=105'] Exploring Operation: 95-60=35, Resulting Numbers: [105, 35] Generated Node #3: [105, 35] from Operation: 95-60=35 Current State: 70:[105, 35], Operations: ['15*7=105', '95-60=35'] Exploring Operation: 105-35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 86, 55, 36, 89 ]
22
[ "86-55=31", "89-36=53", "53-31=22" ]
Current State: 22:[86, 55, 36, 89], Operations: [] Exploring Operation: 86-55=31, Resulting Numbers: [36, 89, 31] Generated Node #2: [36, 89, 31] from Operation: 86-55=31 Current State: 22:[36, 89, 31], Operations: ['86-55=31'] Exploring Operation: 89-36=53, Resulting Numbers: [31, 53] Generated Node #3: [31, 53] from Operation: 89-36=53 Current State: 22:[31, 53], Operations: ['86-55=31', '89-36=53'] Exploring Operation: 53-31=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 64, 38, 55, 16 ]
64
[ "55-38=17", "17-16=1", "64*1=64" ]
Current State: 64:[64, 38, 55, 16], Operations: [] Exploring Operation: 55-38=17, Resulting Numbers: [64, 16, 17] Generated Node #2: [64, 16, 17] from Operation: 55-38=17 Current State: 64:[64, 16, 17], Operations: ['55-38=17'] Exploring Operation: 17-16=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 17-16=1 Current State: 64:[64, 1], Operations: ['55-38=17', '17-16=1'] Exploring Operation: 64*1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 43, 11, 3, 13 ]
31
[ "43+11=54", "54/3=18", "13+18=31" ]
Current State: 31:[43, 11, 3, 13], Operations: [] Exploring Operation: 43+11=54, Resulting Numbers: [3, 13, 54] Generated Node #2: [3, 13, 54] from Operation: 43+11=54 Current State: 31:[3, 13, 54], Operations: ['43+11=54'] Exploring Operation: 54/3=18, Resulting Numbers: [13, 18] Generated Node #3: [13, 18] from Operation: 54/3=18 Current State: 31:[13, 18], Operations: ['43+11=54', '54/3=18'] Exploring Operation: 13+18=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 65, 88, 29, 41 ]
83
[ "65+88=153", "29+41=70", "153-70=83" ]
Current State: 83:[65, 88, 29, 41], Operations: [] Exploring Operation: 65+88=153, Resulting Numbers: [29, 41, 153] Generated Node #2: [29, 41, 153] from Operation: 65+88=153 Current State: 83:[29, 41, 153], Operations: ['65+88=153'] Exploring Operation: 29+41=70, Resulting Numbers: [153, 70] Generated Node #3: [153, 70] from Operation: 29+41=70 Current State: 83:[153, 70], Operations: ['65+88=153', '29+41=70'] Exploring Operation: 153-70=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 23, 72, 60, 23 ]
58
[ "23+72=95", "60-23=37", "95-37=58" ]
Current State: 58:[23, 72, 60, 23], Operations: [] Exploring Operation: 23+72=95, Resulting Numbers: [60, 95] Generated Node #2: [60, 95] from Operation: 23+72=95 Current State: 58:[60, 95], Operations: ['23+72=95'] Exploring Operation: 60-23=37, Resulting Numbers: [95, 37] Generated Node #3: [95, 37] from Operation: 60-23=37 Current State: 58:[95, 37], Operations: ['23+72=95', '60-23=37'] Exploring Operation: 95-37=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 76, 26, 66, 67 ]
51
[ "76-26=50", "67-66=1", "50+1=51" ]
Current State: 51:[76, 26, 66, 67], Operations: [] Exploring Operation: 76-26=50, Resulting Numbers: [66, 67, 50] Generated Node #2: [66, 67, 50] from Operation: 76-26=50 Current State: 51:[66, 67, 50], Operations: ['76-26=50'] Exploring Operation: 67-66=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 67-66=1 Current State: 51:[50, 1], Operations: ['76-26=50', '67-66=1'] Exploring Operation: 50+1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 73, 28, 16, 17 ]
14
[ "73-17=56", "56/28=2", "16-2=14" ]
Current State: 14:[73, 28, 16, 17], Operations: [] Exploring Operation: 73-17=56, Resulting Numbers: [28, 16, 56] Generated Node #2: [28, 16, 56] from Operation: 73-17=56 Current State: 14:[28, 16, 56], Operations: ['73-17=56'] Exploring Operation: 56/28=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 56/28=2 Current State: 14:[16, 2], Operations: ['73-17=56', '56/28=2'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 74, 42, 34, 10 ]
17
[ "74+10=84", "42*34=1428", "1428/84=17" ]
Current State: 17:[74, 42, 34, 10], Operations: [] Exploring Operation: 74+10=84, Resulting Numbers: [42, 34, 84] Generated Node #2: [42, 34, 84] from Operation: 74+10=84 Current State: 17:[42, 34, 84], Operations: ['74+10=84'] Exploring Operation: 42*34=1428, Resulting Numbers: [84, 1428] Generated Node #3: [84, 1428] from Operation: 42*34=1428 Current State: 17:[84, 1428], Operations: ['74+10=84', '42*34=1428'] Exploring Operation: 1428/84=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 65, 30, 69, 41 ]
79
[ "69-65=4", "30*4=120", "120-41=79" ]
Current State: 79:[65, 30, 69, 41], Operations: [] Exploring Operation: 69-65=4, Resulting Numbers: [30, 41, 4] Generated Node #2: [30, 41, 4] from Operation: 69-65=4 Current State: 79:[30, 41, 4], Operations: ['69-65=4'] Exploring Operation: 30*4=120, Resulting Numbers: [41, 120] Generated Node #3: [41, 120] from Operation: 30*4=120 Current State: 79:[41, 120], Operations: ['69-65=4', '30*4=120'] Exploring Operation: 120-41=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 48, 90, 28, 56 ]
70
[ "90-48=42", "56-28=28", "42+28=70" ]
Current State: 70:[48, 90, 28, 56], Operations: [] Exploring Operation: 90-48=42, Resulting Numbers: [28, 56, 42] Generated Node #2: [28, 56, 42] from Operation: 90-48=42 Current State: 70:[28, 56, 42], Operations: ['90-48=42'] Exploring Operation: 56-28=28, Resulting Numbers: [42, 28] Generated Node #3: [42, 28] from Operation: 56-28=28 Current State: 70:[42, 28], Operations: ['90-48=42', '56-28=28'] Exploring Operation: 42+28=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 96, 31, 98, 50 ]
29
[ "98-50=48", "96/48=2", "31-2=29" ]
Current State: 29:[96, 31, 98, 50], Operations: [] Exploring Operation: 98-50=48, Resulting Numbers: [96, 31, 48] Generated Node #2: [96, 31, 48] from Operation: 98-50=48 Current State: 29:[96, 31, 48], Operations: ['98-50=48'] Exploring Operation: 96/48=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 96/48=2 Current State: 29:[31, 2], Operations: ['98-50=48', '96/48=2'] Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 24, 43, 22, 89 ]
23
[ "24-22=2", "89-43=46", "46/2=23" ]
Current State: 23:[24, 43, 22, 89], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [43, 89, 2] Generated Node #2: [43, 89, 2] from Operation: 24-22=2 Current State: 23:[43, 89, 2], Operations: ['24-22=2'] Exploring Operation: 89-43=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 89-43=46 Current State: 23:[2, 46], Operations: ['24-22=2', '89-43=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 47, 63, 38, 68 ]
75
[ "47-38=9", "63/9=7", "68+7=75" ]
Current State: 75:[47, 63, 38, 68], Operations: [] Exploring Operation: 47-38=9, Resulting Numbers: [63, 68, 9] Generated Node #2: [63, 68, 9] from Operation: 47-38=9 Current State: 75:[63, 68, 9], Operations: ['47-38=9'] Exploring Operation: 63/9=7, Resulting Numbers: [68, 7] Generated Node #3: [68, 7] from Operation: 63/9=7 Current State: 75:[68, 7], Operations: ['47-38=9', '63/9=7'] Exploring Operation: 68+7=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 3, 24, 48, 12 ]
52
[ "24/3=8", "48+12=60", "60-8=52" ]
Current State: 52:[3, 24, 48, 12], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [48, 12, 8] Generated Node #2: [48, 12, 8] from Operation: 24/3=8 Current State: 52:[48, 12, 8], Operations: ['24/3=8'] Exploring Operation: 48+12=60, Resulting Numbers: [8, 60] Generated Node #3: [8, 60] from Operation: 48+12=60 Current State: 52:[8, 60], Operations: ['24/3=8', '48+12=60'] Exploring Operation: 60-8=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 91, 5, 4, 33 ]
59
[ "91+5=96", "4+33=37", "96-37=59" ]
Current State: 59:[91, 5, 4, 33], Operations: [] Exploring Operation: 91+5=96, Resulting Numbers: [4, 33, 96] Generated Node #2: [4, 33, 96] from Operation: 91+5=96 Current State: 59:[4, 33, 96], Operations: ['91+5=96'] Exploring Operation: 4+33=37, Resulting Numbers: [96, 37] Generated Node #3: [96, 37] from Operation: 4+33=37 Current State: 59:[96, 37], Operations: ['91+5=96', '4+33=37'] Exploring Operation: 96-37=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 86, 82, 7, 88 ]
64
[ "86+82=168", "168/7=24", "88-24=64" ]
Current State: 64:[86, 82, 7, 88], Operations: [] Exploring Operation: 86+82=168, Resulting Numbers: [7, 88, 168] Generated Node #2: [7, 88, 168] from Operation: 86+82=168 Current State: 64:[7, 88, 168], Operations: ['86+82=168'] Exploring Operation: 168/7=24, Resulting Numbers: [88, 24] Generated Node #3: [88, 24] from Operation: 168/7=24 Current State: 64:[88, 24], Operations: ['86+82=168', '168/7=24'] Exploring Operation: 88-24=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 28, 40, 23, 23 ]
85
[ "28-23=5", "40-23=17", "5*17=85" ]
Current State: 85:[28, 40, 23, 23], Operations: [] Exploring Operation: 28-23=5, Resulting Numbers: [40, 5] Generated Node #2: [40, 5] from Operation: 28-23=5 Current State: 85:[40, 5], Operations: ['28-23=5'] Exploring Operation: 40-23=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 40-23=17 Current State: 85:[5, 17], Operations: ['28-23=5', '40-23=17'] Exploring Operation: 5*17=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 31, 56, 73, 68 ]
51
[ "73-31=42", "68*42=2856", "2856/56=51" ]
Current State: 51:[31, 56, 73, 68], Operations: [] Exploring Operation: 73-31=42, Resulting Numbers: [56, 68, 42] Generated Node #2: [56, 68, 42] from Operation: 73-31=42 Current State: 51:[56, 68, 42], Operations: ['73-31=42'] Exploring Operation: 68*42=2856, Resulting Numbers: [56, 2856] Generated Node #3: [56, 2856] from Operation: 68*42=2856 Current State: 51:[56, 2856], Operations: ['73-31=42', '68*42=2856'] Exploring Operation: 2856/56=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 22, 47, 70, 25 ]
69
[ "47-22=25", "25/25=1", "70-1=69" ]
Current State: 69:[22, 47, 70, 25], Operations: [] Exploring Operation: 47-22=25, Resulting Numbers: [70, 25, 25] Generated Node #2: [70, 25, 25] from Operation: 47-22=25 Current State: 69:[70, 25, 25], Operations: ['47-22=25'] Exploring Operation: 25/25=1, Resulting Numbers: [70, 1] Generated Node #3: [70, 1] from Operation: 25/25=1 Current State: 69:[70, 1], Operations: ['47-22=25', '25/25=1'] Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 14, 4, 29, 28 ]
62
[ "28/14=2", "29*2=58", "4+58=62" ]
Current State: 62:[14, 4, 29, 28], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [4, 29, 2] Generated Node #2: [4, 29, 2] from Operation: 28/14=2 Current State: 62:[4, 29, 2], Operations: ['28/14=2'] Exploring Operation: 29*2=58, Resulting Numbers: [4, 58] Generated Node #3: [4, 58] from Operation: 29*2=58 Current State: 62:[4, 58], Operations: ['28/14=2', '29*2=58'] Exploring Operation: 4+58=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 11, 77, 63, 64 ]
39
[ "11+77=88", "63+64=127", "127-88=39" ]
Current State: 39:[11, 77, 63, 64], Operations: [] Exploring Operation: 11+77=88, Resulting Numbers: [63, 64, 88] Generated Node #2: [63, 64, 88] from Operation: 11+77=88 Current State: 39:[63, 64, 88], Operations: ['11+77=88'] Exploring Operation: 63+64=127, Resulting Numbers: [88, 127] Generated Node #3: [88, 127] from Operation: 63+64=127 Current State: 39:[88, 127], Operations: ['11+77=88', '63+64=127'] Exploring Operation: 127-88=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 7, 20, 17, 23 ]
62
[ "20-17=3", "23*3=69", "69-7=62" ]
Current State: 62:[7, 20, 17, 23], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [7, 23, 3] Generated Node #2: [7, 23, 3] from Operation: 20-17=3 Current State: 62:[7, 23, 3], Operations: ['20-17=3'] Exploring Operation: 23*3=69, Resulting Numbers: [7, 69] Generated Node #3: [7, 69] from Operation: 23*3=69 Current State: 62:[7, 69], Operations: ['20-17=3', '23*3=69'] Exploring Operation: 69-7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 9, 8, 29, 61 ]
49
[ "9+8=17", "61-29=32", "17+32=49" ]
Current State: 49:[9, 8, 29, 61], Operations: [] Exploring Operation: 9+8=17, Resulting Numbers: [29, 61, 17] Generated Node #2: [29, 61, 17] from Operation: 9+8=17 Current State: 49:[29, 61, 17], Operations: ['9+8=17'] Exploring Operation: 61-29=32, Resulting Numbers: [17, 32] Generated Node #3: [17, 32] from Operation: 61-29=32 Current State: 49:[17, 32], Operations: ['9+8=17', '61-29=32'] Exploring Operation: 17+32=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 4, 12, 71, 15 ]
64
[ "12-4=8", "71-15=56", "8+56=64" ]
Current State: 64:[4, 12, 71, 15], Operations: [] Exploring Operation: 12-4=8, Resulting Numbers: [71, 15, 8] Generated Node #2: [71, 15, 8] from Operation: 12-4=8 Current State: 64:[71, 15, 8], Operations: ['12-4=8'] Exploring Operation: 71-15=56, Resulting Numbers: [8, 56] Generated Node #3: [8, 56] from Operation: 71-15=56 Current State: 64:[8, 56], Operations: ['12-4=8', '71-15=56'] Exploring Operation: 8+56=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 7, 14, 93, 68 ]
25
[ "14+93=107", "68+107=175", "175/7=25" ]
Current State: 25:[7, 14, 93, 68], Operations: [] Exploring Operation: 14+93=107, Resulting Numbers: [7, 68, 107] Generated Node #2: [7, 68, 107] from Operation: 14+93=107 Current State: 25:[7, 68, 107], Operations: ['14+93=107'] Exploring Operation: 68+107=175, Resulting Numbers: [7, 175] Generated Node #3: [7, 175] from Operation: 68+107=175 Current State: 25:[7, 175], Operations: ['14+93=107', '68+107=175'] Exploring Operation: 175/7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 7, 16, 32, 37 ]
29
[ "37-16=21", "21/7=3", "32-3=29" ]
Current State: 29:[7, 16, 32, 37], Operations: [] Exploring Operation: 37-16=21, Resulting Numbers: [7, 32, 21] Generated Node #2: [7, 32, 21] from Operation: 37-16=21 Current State: 29:[7, 32, 21], Operations: ['37-16=21'] Exploring Operation: 21/7=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 21/7=3 Current State: 29:[32, 3], Operations: ['37-16=21', '21/7=3'] Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 10, 54, 2, 32 ]
66
[ "10*2=20", "54+32=86", "86-20=66" ]
Current State: 66:[10, 54, 2, 32], Operations: [] Exploring Operation: 10*2=20, Resulting Numbers: [54, 32, 20] Generated Node #2: [54, 32, 20] from Operation: 10*2=20 Current State: 66:[54, 32, 20], Operations: ['10*2=20'] Exploring Operation: 54+32=86, Resulting Numbers: [20, 86] Generated Node #3: [20, 86] from Operation: 54+32=86 Current State: 66:[20, 86], Operations: ['10*2=20', '54+32=86'] Exploring Operation: 86-20=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 77, 65, 52, 90 ]
47
[ "90-77=13", "65/13=5", "52-5=47" ]
Current State: 47:[77, 65, 52, 90], Operations: [] Exploring Operation: 90-77=13, Resulting Numbers: [65, 52, 13] Generated Node #2: [65, 52, 13] from Operation: 90-77=13 Current State: 47:[65, 52, 13], Operations: ['90-77=13'] Exploring Operation: 65/13=5, Resulting Numbers: [52, 5] Generated Node #3: [52, 5] from Operation: 65/13=5 Current State: 47:[52, 5], Operations: ['90-77=13', '65/13=5'] Exploring Operation: 52-5=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 45, 13, 48, 3 ]
15
[ "13+3=16", "45*16=720", "720/48=15" ]
Current State: 15:[45, 13, 48, 3], Operations: [] Exploring Operation: 13+3=16, Resulting Numbers: [45, 48, 16] Generated Node #2: [45, 48, 16] from Operation: 13+3=16 Current State: 15:[45, 48, 16], Operations: ['13+3=16'] Exploring Operation: 45*16=720, Resulting Numbers: [48, 720] Generated Node #3: [48, 720] from Operation: 45*16=720 Current State: 15:[48, 720], Operations: ['13+3=16', '45*16=720'] Exploring Operation: 720/48=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 54, 66, 24, 12 ]
84
[ "54+66=120", "24+12=36", "120-36=84" ]
Current State: 84:[54, 66, 24, 12], Operations: [] Exploring Operation: 54+66=120, Resulting Numbers: [24, 12, 120] Generated Node #2: [24, 12, 120] from Operation: 54+66=120 Current State: 84:[24, 12, 120], Operations: ['54+66=120'] Exploring Operation: 24+12=36, Resulting Numbers: [120, 36] Generated Node #3: [120, 36] from Operation: 24+12=36 Current State: 84:[120, 36], Operations: ['54+66=120', '24+12=36'] Exploring Operation: 120-36=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 37, 29, 60, 55 ]
71
[ "37+29=66", "60-55=5", "66+5=71" ]
Current State: 71:[37, 29, 60, 55], Operations: [] Exploring Operation: 37+29=66, Resulting Numbers: [60, 55, 66] Generated Node #2: [60, 55, 66] from Operation: 37+29=66 Current State: 71:[60, 55, 66], Operations: ['37+29=66'] Exploring Operation: 60-55=5, Resulting Numbers: [66, 5] Generated Node #3: [66, 5] from Operation: 60-55=5 Current State: 71:[66, 5], Operations: ['37+29=66', '60-55=5'] Exploring Operation: 66+5=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 53, 51, 12, 80 ]
12
[ "53+51=104", "12+80=92", "104-92=12" ]
Current State: 12:[53, 51, 12, 80], Operations: [] Exploring Operation: 53+51=104, Resulting Numbers: [12, 80, 104] Generated Node #2: [12, 80, 104] from Operation: 53+51=104 Current State: 12:[12, 80, 104], Operations: ['53+51=104'] Exploring Operation: 12+80=92, Resulting Numbers: [104, 92] Generated Node #3: [104, 92] from Operation: 12+80=92 Current State: 12:[104, 92], Operations: ['53+51=104', '12+80=92'] Exploring Operation: 104-92=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 12, 45, 21, 8 ]
31
[ "21*8=168", "168/12=14", "45-14=31" ]
Current State: 31:[12, 45, 21, 8], Operations: [] Exploring Operation: 21*8=168, Resulting Numbers: [12, 45, 168] Generated Node #2: [12, 45, 168] from Operation: 21*8=168 Current State: 31:[12, 45, 168], Operations: ['21*8=168'] Exploring Operation: 168/12=14, Resulting Numbers: [45, 14] Generated Node #3: [45, 14] from Operation: 168/12=14 Current State: 31:[45, 14], Operations: ['21*8=168', '168/12=14'] Exploring Operation: 45-14=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 47, 41, 25, 63 ]
94
[ "47-41=6", "25+63=88", "6+88=94" ]
Current State: 94:[47, 41, 25, 63], Operations: [] Exploring Operation: 47-41=6, Resulting Numbers: [25, 63, 6] Generated Node #2: [25, 63, 6] from Operation: 47-41=6 Current State: 94:[25, 63, 6], Operations: ['47-41=6'] Exploring Operation: 25+63=88, Resulting Numbers: [6, 88] Generated Node #3: [6, 88] from Operation: 25+63=88 Current State: 94:[6, 88], Operations: ['47-41=6', '25+63=88'] Exploring Operation: 6+88=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 13, 43, 3, 10 ]
57
[ "13-3=10", "10*10=100", "100-43=57" ]
Current State: 57:[13, 43, 3, 10], Operations: [] Exploring Operation: 13-3=10, Resulting Numbers: [43, 10, 10] Generated Node #2: [43, 10, 10] from Operation: 13-3=10 Current State: 57:[43, 10, 10], Operations: ['13-3=10'] Exploring Operation: 10*10=100, Resulting Numbers: [43, 100] Generated Node #3: [43, 100] from Operation: 10*10=100 Current State: 57:[43, 100], Operations: ['13-3=10', '10*10=100'] Exploring Operation: 100-43=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 85, 4, 29, 29 ]
85
[ "29-29=0", "4*0=0", "85+0=85" ]
Current State: 85:[85, 4, 29, 29], Operations: [] Exploring Operation: 29-29=0, Resulting Numbers: [85, 4, 0] Generated Node #2: [85, 4, 0] from Operation: 29-29=0 Current State: 85:[85, 4, 0], Operations: ['29-29=0'] Exploring Operation: 4*0=0, Resulting Numbers: [85, 0] Generated Node #3: [85, 0] from Operation: 4*0=0 Current State: 85:[85, 0], Operations: ['29-29=0', '4*0=0'] Exploring Operation: 85+0=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 74, 8, 57, 65 ]
10
[ "65-57=8", "8*8=64", "74-64=10" ]
Current State: 10:[74, 8, 57, 65], Operations: [] Exploring Operation: 65-57=8, Resulting Numbers: [74, 8, 8] Generated Node #2: [74, 8, 8] from Operation: 65-57=8 Current State: 10:[74, 8, 8], Operations: ['65-57=8'] Exploring Operation: 8*8=64, Resulting Numbers: [74, 64] Generated Node #3: [74, 64] from Operation: 8*8=64 Current State: 10:[74, 64], Operations: ['65-57=8', '8*8=64'] Exploring Operation: 74-64=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 54, 10, 69, 92 ]
41
[ "54+10=64", "92-69=23", "64-23=41" ]
Current State: 41:[54, 10, 69, 92], Operations: [] Exploring Operation: 54+10=64, Resulting Numbers: [69, 92, 64] Generated Node #2: [69, 92, 64] from Operation: 54+10=64 Current State: 41:[69, 92, 64], Operations: ['54+10=64'] Exploring Operation: 92-69=23, Resulting Numbers: [64, 23] Generated Node #3: [64, 23] from Operation: 92-69=23 Current State: 41:[64, 23], Operations: ['54+10=64', '92-69=23'] Exploring Operation: 64-23=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 65, 66, 39, 32 ]
72
[ "66-65=1", "39+32=71", "1+71=72" ]
Current State: 72:[65, 66, 39, 32], Operations: [] Exploring Operation: 66-65=1, Resulting Numbers: [39, 32, 1] Generated Node #2: [39, 32, 1] from Operation: 66-65=1 Current State: 72:[39, 32, 1], Operations: ['66-65=1'] Exploring Operation: 39+32=71, Resulting Numbers: [1, 71] Generated Node #3: [1, 71] from Operation: 39+32=71 Current State: 72:[1, 71], Operations: ['66-65=1', '39+32=71'] Exploring Operation: 1+71=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 85, 2, 26, 2 ]
59
[ "85+2=87", "26+2=28", "87-28=59" ]
Current State: 59:[85, 2, 26, 2], Operations: [] Exploring Operation: 85+2=87, Resulting Numbers: [26, 87] Generated Node #2: [26, 87] from Operation: 85+2=87 Current State: 59:[26, 87], Operations: ['85+2=87'] Exploring Operation: 26+2=28, Resulting Numbers: [87, 28] Generated Node #3: [87, 28] from Operation: 26+2=28 Current State: 59:[87, 28], Operations: ['85+2=87', '26+2=28'] Exploring Operation: 87-28=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 89, 71, 9, 41 ]
14
[ "89-71=18", "41-9=32", "32-18=14" ]
Current State: 14:[89, 71, 9, 41], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [9, 41, 18] Generated Node #2: [9, 41, 18] from Operation: 89-71=18 Current State: 14:[9, 41, 18], Operations: ['89-71=18'] Exploring Operation: 41-9=32, Resulting Numbers: [18, 32] Generated Node #3: [18, 32] from Operation: 41-9=32 Current State: 14:[18, 32], Operations: ['89-71=18', '41-9=32'] Exploring Operation: 32-18=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 48, 33, 8, 3 ]
40
[ "48-33=15", "8*15=120", "120/3=40" ]
Current State: 40:[48, 33, 8, 3], Operations: [] Exploring Operation: 48-33=15, Resulting Numbers: [8, 3, 15] Generated Node #2: [8, 3, 15] from Operation: 48-33=15 Current State: 40:[8, 3, 15], Operations: ['48-33=15'] Exploring Operation: 8*15=120, Resulting Numbers: [3, 120] Generated Node #3: [3, 120] from Operation: 8*15=120 Current State: 40:[3, 120], Operations: ['48-33=15', '8*15=120'] Exploring Operation: 120/3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 95, 26, 75, 69 ]
76
[ "95-26=69", "69/69=1", "75+1=76" ]
Current State: 76:[95, 26, 75, 69], Operations: [] Exploring Operation: 95-26=69, Resulting Numbers: [75, 69, 69] Generated Node #2: [75, 69, 69] from Operation: 95-26=69 Current State: 76:[75, 69, 69], Operations: ['95-26=69'] Exploring Operation: 69/69=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 69/69=1 Current State: 76:[75, 1], Operations: ['95-26=69', '69/69=1'] Exploring Operation: 75+1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4