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
[ 93, 23, 4, 44 ]
30
[ "93-23=70", "44-4=40", "70-40=30" ]
Current State: 30:[93, 23, 4, 44], Operations: [] Exploring Operation: 93-23=70, Resulting Numbers: [4, 44, 70] Generated Node #2: [4, 44, 70] from Operation: 93-23=70 Current State: 30:[4, 44, 70], Operations: ['93-23=70'] Exploring Operation: 44-4=40, Resulting Numbers: [70, 40] Generated Node #3: [70, 40] from Operation: 44-4=40 Current State: 30:[70, 40], Operations: ['93-23=70', '44-4=40'] Exploring Operation: 70-40=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 8, 31, 37, 33 ]
82
[ "33-31=2", "37*2=74", "8+74=82" ]
Current State: 82:[8, 31, 37, 33], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [8, 37, 2] Generated Node #2: [8, 37, 2] from Operation: 33-31=2 Current State: 82:[8, 37, 2], Operations: ['33-31=2'] Exploring Operation: 37*2=74, Resulting Numbers: [8, 74] Generated Node #3: [8, 74] from Operation: 37*2=74 Current State: 82:[8, 74], Operations: ['33-31=2', '37*2=74'] Exploring Operation: 8+74=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 65, 88, 12, 3 ]
92
[ "88-65=23", "12/3=4", "23*4=92" ]
Current State: 92:[65, 88, 12, 3], Operations: [] Exploring Operation: 88-65=23, Resulting Numbers: [12, 3, 23] Generated Node #2: [12, 3, 23] from Operation: 88-65=23 Current State: 92:[12, 3, 23], Operations: ['88-65=23'] Exploring Operation: 12/3=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 12/3=4 Current State: 92:[23, 4], Operations: ['88-65=23', '12/3=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 21, 8, 95, 7 ]
32
[ "95-7=88", "88/8=11", "21+11=32" ]
Current State: 32:[21, 8, 95, 7], Operations: [] Exploring Operation: 95-7=88, Resulting Numbers: [21, 8, 88] Generated Node #2: [21, 8, 88] from Operation: 95-7=88 Current State: 32:[21, 8, 88], Operations: ['95-7=88'] Exploring Operation: 88/8=11, Resulting Numbers: [21, 11] Generated Node #3: [21, 11] from Operation: 88/8=11 Current State: 32:[21, 11], Operations: ['95-7=88', '88/8=11'] Exploring Operation: 21+11=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 75, 70, 44, 13 ]
73
[ "70-44=26", "26/13=2", "75-2=73" ]
Current State: 73:[75, 70, 44, 13], Operations: [] Exploring Operation: 70-44=26, Resulting Numbers: [75, 13, 26] Generated Node #2: [75, 13, 26] from Operation: 70-44=26 Current State: 73:[75, 13, 26], Operations: ['70-44=26'] Exploring Operation: 26/13=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 26/13=2 Current State: 73:[75, 2], Operations: ['70-44=26', '26/13=2'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 19, 12, 55, 31 ]
93
[ "19-12=7", "55+31=86", "7+86=93" ]
Current State: 93:[19, 12, 55, 31], Operations: [] Exploring Operation: 19-12=7, Resulting Numbers: [55, 31, 7] Generated Node #2: [55, 31, 7] from Operation: 19-12=7 Current State: 93:[55, 31, 7], Operations: ['19-12=7'] Exploring Operation: 55+31=86, Resulting Numbers: [7, 86] Generated Node #3: [7, 86] from Operation: 55+31=86 Current State: 93:[7, 86], Operations: ['19-12=7', '55+31=86'] Exploring Operation: 7+86=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 94, 96, 48, 43 ]
49
[ "94-43=51", "96/48=2", "51-2=49" ]
Current State: 49:[94, 96, 48, 43], Operations: [] Exploring Operation: 94-43=51, Resulting Numbers: [96, 48, 51] Generated Node #2: [96, 48, 51] from Operation: 94-43=51 Current State: 49:[96, 48, 51], Operations: ['94-43=51'] Exploring Operation: 96/48=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 96/48=2 Current State: 49:[51, 2], Operations: ['94-43=51', '96/48=2'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 12, 30, 30, 12 ]
87
[ "30*30=900", "900/12=75", "12+75=87" ]
Current State: 87:[12, 30, 30, 12], Operations: [] Exploring Operation: 30*30=900, Resulting Numbers: [12, 12, 900] Generated Node #2: [12, 12, 900] from Operation: 30*30=900 Current State: 87:[12, 12, 900], Operations: ['30*30=900'] Exploring Operation: 900/12=75, Resulting Numbers: [75] 75,87 equal: Goal Reached Exploring Operation: 12+75=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 32, 59, 39, 96 ]
46
[ "32*39=1248", "1248/96=13", "59-13=46" ]
Current State: 46:[32, 59, 39, 96], Operations: [] Exploring Operation: 32*39=1248, Resulting Numbers: [59, 96, 1248] Generated Node #2: [59, 96, 1248] from Operation: 32*39=1248 Current State: 46:[59, 96, 1248], Operations: ['32*39=1248'] Exploring Operation: 1248/96=13, Resulting Numbers: [59, 13] Generated Node #3: [59, 13] from Operation: 1248/96=13 Current State: 46:[59, 13], Operations: ['32*39=1248', '1248/96=13'] Exploring Operation: 59-13=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 82, 35, 55, 42 ]
16
[ "55*42=2310", "2310/35=66", "82-66=16" ]
Current State: 16:[82, 35, 55, 42], Operations: [] Exploring Operation: 55*42=2310, Resulting Numbers: [82, 35, 2310] Generated Node #2: [82, 35, 2310] from Operation: 55*42=2310 Current State: 16:[82, 35, 2310], Operations: ['55*42=2310'] Exploring Operation: 2310/35=66, Resulting Numbers: [82, 66] Generated Node #3: [82, 66] from Operation: 2310/35=66 Current State: 16:[82, 66], Operations: ['55*42=2310', '2310/35=66'] Exploring Operation: 82-66=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 16, 61, 37, 48 ]
88
[ "16+61=77", "48-37=11", "77+11=88" ]
Current State: 88:[16, 61, 37, 48], Operations: [] Exploring Operation: 16+61=77, Resulting Numbers: [37, 48, 77] Generated Node #2: [37, 48, 77] from Operation: 16+61=77 Current State: 88:[37, 48, 77], Operations: ['16+61=77'] Exploring Operation: 48-37=11, Resulting Numbers: [77, 11] Generated Node #3: [77, 11] from Operation: 48-37=11 Current State: 88:[77, 11], Operations: ['16+61=77', '48-37=11'] Exploring Operation: 77+11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 2, 17, 33, 70 ]
60
[ "17+33=50", "70+50=120", "120/2=60" ]
Current State: 60:[2, 17, 33, 70], Operations: [] Exploring Operation: 17+33=50, Resulting Numbers: [2, 70, 50] Generated Node #2: [2, 70, 50] from Operation: 17+33=50 Current State: 60:[2, 70, 50], Operations: ['17+33=50'] Exploring Operation: 70+50=120, Resulting Numbers: [2, 120] Generated Node #3: [2, 120] from Operation: 70+50=120 Current State: 60:[2, 120], Operations: ['17+33=50', '70+50=120'] Exploring Operation: 120/2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 81, 54, 5, 91 ]
69
[ "81-54=27", "5+91=96", "96-27=69" ]
Current State: 69:[81, 54, 5, 91], Operations: [] Exploring Operation: 81-54=27, Resulting Numbers: [5, 91, 27] Generated Node #2: [5, 91, 27] from Operation: 81-54=27 Current State: 69:[5, 91, 27], Operations: ['81-54=27'] Exploring Operation: 5+91=96, Resulting Numbers: [27, 96] Generated Node #3: [27, 96] from Operation: 5+91=96 Current State: 69:[27, 96], Operations: ['81-54=27', '5+91=96'] Exploring Operation: 96-27=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 74, 80, 21, 91 ]
64
[ "80-74=6", "91-21=70", "70-6=64" ]
Current State: 64:[74, 80, 21, 91], Operations: [] Exploring Operation: 80-74=6, Resulting Numbers: [21, 91, 6] Generated Node #2: [21, 91, 6] from Operation: 80-74=6 Current State: 64:[21, 91, 6], Operations: ['80-74=6'] Exploring Operation: 91-21=70, Resulting Numbers: [6, 70] Generated Node #3: [6, 70] from Operation: 91-21=70 Current State: 64:[6, 70], Operations: ['80-74=6', '91-21=70'] Exploring Operation: 70-6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 16, 90, 39, 41 ]
29
[ "41-39=2", "90/2=45", "45-16=29" ]
Current State: 29:[16, 90, 39, 41], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [16, 90, 2] Generated Node #2: [16, 90, 2] from Operation: 41-39=2 Current State: 29:[16, 90, 2], Operations: ['41-39=2'] Exploring Operation: 90/2=45, Resulting Numbers: [16, 45] Generated Node #3: [16, 45] from Operation: 90/2=45 Current State: 29:[16, 45], Operations: ['41-39=2', '90/2=45'] Exploring Operation: 45-16=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 3, 2, 8, 32 ]
77
[ "8+32=40", "2*40=80", "80-3=77" ]
Current State: 77:[3, 2, 8, 32], Operations: [] Exploring Operation: 8+32=40, Resulting Numbers: [3, 2, 40] Generated Node #2: [3, 2, 40] from Operation: 8+32=40 Current State: 77:[3, 2, 40], Operations: ['8+32=40'] Exploring Operation: 2*40=80, Resulting Numbers: [3, 80] Generated Node #3: [3, 80] from Operation: 2*40=80 Current State: 77:[3, 80], Operations: ['8+32=40', '2*40=80'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 2, 14, 47, 16 ]
25
[ "16/2=8", "47-14=33", "33-8=25" ]
Current State: 25:[2, 14, 47, 16], Operations: [] Exploring Operation: 16/2=8, Resulting Numbers: [14, 47, 8] Generated Node #2: [14, 47, 8] from Operation: 16/2=8 Current State: 25:[14, 47, 8], Operations: ['16/2=8'] Exploring Operation: 47-14=33, Resulting Numbers: [8, 33] Generated Node #3: [8, 33] from Operation: 47-14=33 Current State: 25:[8, 33], Operations: ['16/2=8', '47-14=33'] Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 63, 40, 67, 47 ]
43
[ "63-40=23", "67-47=20", "23+20=43" ]
Current State: 43:[63, 40, 67, 47], Operations: [] Exploring Operation: 63-40=23, Resulting Numbers: [67, 47, 23] Generated Node #2: [67, 47, 23] from Operation: 63-40=23 Current State: 43:[67, 47, 23], Operations: ['63-40=23'] Exploring Operation: 67-47=20, Resulting Numbers: [23, 20] Generated Node #3: [23, 20] from Operation: 67-47=20 Current State: 43:[23, 20], Operations: ['63-40=23', '67-47=20'] Exploring Operation: 23+20=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 10, 44, 4, 16 ]
68
[ "10*4=40", "44-16=28", "40+28=68" ]
Current State: 68:[10, 44, 4, 16], Operations: [] Exploring Operation: 10*4=40, Resulting Numbers: [44, 16, 40] Generated Node #2: [44, 16, 40] from Operation: 10*4=40 Current State: 68:[44, 16, 40], Operations: ['10*4=40'] Exploring Operation: 44-16=28, Resulting Numbers: [40, 28] Generated Node #3: [40, 28] from Operation: 44-16=28 Current State: 68:[40, 28], Operations: ['10*4=40', '44-16=28'] Exploring Operation: 40+28=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 5, 90, 27, 42 ]
21
[ "90-27=63", "42+63=105", "105/5=21" ]
Current State: 21:[5, 90, 27, 42], Operations: [] Exploring Operation: 90-27=63, Resulting Numbers: [5, 42, 63] Generated Node #2: [5, 42, 63] from Operation: 90-27=63 Current State: 21:[5, 42, 63], Operations: ['90-27=63'] Exploring Operation: 42+63=105, Resulting Numbers: [5, 105] Generated Node #3: [5, 105] from Operation: 42+63=105 Current State: 21:[5, 105], Operations: ['90-27=63', '42+63=105'] Exploring Operation: 105/5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 63, 61, 9, 79 ]
97
[ "63-61=2", "9*2=18", "79+18=97" ]
Current State: 97:[63, 61, 9, 79], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [9, 79, 2] Generated Node #2: [9, 79, 2] from Operation: 63-61=2 Current State: 97:[9, 79, 2], Operations: ['63-61=2'] Exploring Operation: 9*2=18, Resulting Numbers: [79, 18] Generated Node #3: [79, 18] from Operation: 9*2=18 Current State: 97:[79, 18], Operations: ['63-61=2', '9*2=18'] Exploring Operation: 79+18=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 34, 22, 88, 63 ]
37
[ "34-22=12", "88-63=25", "12+25=37" ]
Current State: 37:[34, 22, 88, 63], Operations: [] Exploring Operation: 34-22=12, Resulting Numbers: [88, 63, 12] Generated Node #2: [88, 63, 12] from Operation: 34-22=12 Current State: 37:[88, 63, 12], Operations: ['34-22=12'] Exploring Operation: 88-63=25, Resulting Numbers: [12, 25] Generated Node #3: [12, 25] from Operation: 88-63=25 Current State: 37:[12, 25], Operations: ['34-22=12', '88-63=25'] Exploring Operation: 12+25=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 48, 54, 20, 40 ]
65
[ "54*40=2160", "2160/48=45", "20+45=65" ]
Current State: 65:[48, 54, 20, 40], Operations: [] Exploring Operation: 54*40=2160, Resulting Numbers: [48, 20, 2160] Generated Node #2: [48, 20, 2160] from Operation: 54*40=2160 Current State: 65:[48, 20, 2160], Operations: ['54*40=2160'] Exploring Operation: 2160/48=45, Resulting Numbers: [20, 45] Generated Node #3: [20, 45] from Operation: 2160/48=45 Current State: 65:[20, 45], Operations: ['54*40=2160', '2160/48=45'] Exploring Operation: 20+45=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 77, 70, 5, 11 ]
13
[ "77-70=7", "11-5=6", "7+6=13" ]
Current State: 13:[77, 70, 5, 11], Operations: [] Exploring Operation: 77-70=7, Resulting Numbers: [5, 11, 7] Generated Node #2: [5, 11, 7] from Operation: 77-70=7 Current State: 13:[5, 11, 7], Operations: ['77-70=7'] Exploring Operation: 11-5=6, Resulting Numbers: [7, 6] Generated Node #3: [7, 6] from Operation: 11-5=6 Current State: 13:[7, 6], Operations: ['77-70=7', '11-5=6'] Exploring Operation: 7+6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 8, 17, 10, 2 ]
58
[ "8*17=136", "136/2=68", "68-10=58" ]
Current State: 58:[8, 17, 10, 2], Operations: [] Exploring Operation: 8*17=136, Resulting Numbers: [10, 2, 136] Generated Node #2: [10, 2, 136] from Operation: 8*17=136 Current State: 58:[10, 2, 136], Operations: ['8*17=136'] Exploring Operation: 136/2=68, Resulting Numbers: [10, 68] Generated Node #3: [10, 68] from Operation: 136/2=68 Current State: 58:[10, 68], Operations: ['8*17=136', '136/2=68'] Exploring Operation: 68-10=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 5, 57, 90, 15 ]
90
[ "90/5=18", "57+15=72", "18+72=90" ]
Current State: 90:[5, 57, 90, 15], Operations: [] Exploring Operation: 90/5=18, Resulting Numbers: [57, 15, 18] Generated Node #2: [57, 15, 18] from Operation: 90/5=18 Current State: 90:[57, 15, 18], Operations: ['90/5=18'] Exploring Operation: 57+15=72, Resulting Numbers: [18, 72] Generated Node #3: [18, 72] from Operation: 57+15=72 Current State: 90:[18, 72], Operations: ['90/5=18', '57+15=72'] Exploring Operation: 18+72=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 75, 36, 78, 6 ]
72
[ "78-75=3", "36*6=216", "216/3=72" ]
Current State: 72:[75, 36, 78, 6], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [36, 6, 3] Generated Node #2: [36, 6, 3] from Operation: 78-75=3 Current State: 72:[36, 6, 3], Operations: ['78-75=3'] Exploring Operation: 36*6=216, Resulting Numbers: [3, 216] Generated Node #3: [3, 216] from Operation: 36*6=216 Current State: 72:[3, 216], Operations: ['78-75=3', '36*6=216'] Exploring Operation: 216/3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 2, 84, 69, 43 ]
29
[ "84-69=15", "43+15=58", "58/2=29" ]
Current State: 29:[2, 84, 69, 43], Operations: [] Exploring Operation: 84-69=15, Resulting Numbers: [2, 43, 15] Generated Node #2: [2, 43, 15] from Operation: 84-69=15 Current State: 29:[2, 43, 15], Operations: ['84-69=15'] Exploring Operation: 43+15=58, Resulting Numbers: [2, 58] Generated Node #3: [2, 58] from Operation: 43+15=58 Current State: 29:[2, 58], Operations: ['84-69=15', '43+15=58'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 26, 96, 15, 17 ]
35
[ "96-26=70", "17-15=2", "70/2=35" ]
Current State: 35:[26, 96, 15, 17], Operations: [] Exploring Operation: 96-26=70, Resulting Numbers: [15, 17, 70] Generated Node #2: [15, 17, 70] from Operation: 96-26=70 Current State: 35:[15, 17, 70], Operations: ['96-26=70'] Exploring Operation: 17-15=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 17-15=2 Current State: 35:[70, 2], Operations: ['96-26=70', '17-15=2'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 11, 18, 35, 29 ]
33
[ "11*18=198", "35-29=6", "198/6=33" ]
Current State: 33:[11, 18, 35, 29], Operations: [] Exploring Operation: 11*18=198, Resulting Numbers: [35, 29, 198] Generated Node #2: [35, 29, 198] from Operation: 11*18=198 Current State: 33:[35, 29, 198], Operations: ['11*18=198'] Exploring Operation: 35-29=6, Resulting Numbers: [198, 6] Generated Node #3: [198, 6] from Operation: 35-29=6 Current State: 33:[198, 6], Operations: ['11*18=198', '35-29=6'] Exploring Operation: 198/6=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 19, 56, 3, 22 ]
62
[ "56-19=37", "3+22=25", "37+25=62" ]
Current State: 62:[19, 56, 3, 22], Operations: [] Exploring Operation: 56-19=37, Resulting Numbers: [3, 22, 37] Generated Node #2: [3, 22, 37] from Operation: 56-19=37 Current State: 62:[3, 22, 37], Operations: ['56-19=37'] Exploring Operation: 3+22=25, Resulting Numbers: [37, 25] Generated Node #3: [37, 25] from Operation: 3+22=25 Current State: 62:[37, 25], Operations: ['56-19=37', '3+22=25'] Exploring Operation: 37+25=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 9, 61, 90, 36 ]
59
[ "9+36=45", "90/45=2", "61-2=59" ]
Current State: 59:[9, 61, 90, 36], Operations: [] Exploring Operation: 9+36=45, Resulting Numbers: [61, 90, 45] Generated Node #2: [61, 90, 45] from Operation: 9+36=45 Current State: 59:[61, 90, 45], Operations: ['9+36=45'] Exploring Operation: 90/45=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 90/45=2 Current State: 59:[61, 2], Operations: ['9+36=45', '90/45=2'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 2, 7, 9, 73 ]
20
[ "7*9=63", "73-63=10", "2*10=20" ]
Current State: 20:[2, 7, 9, 73], Operations: [] Exploring Operation: 7*9=63, Resulting Numbers: [2, 73, 63] Generated Node #2: [2, 73, 63] from Operation: 7*9=63 Current State: 20:[2, 73, 63], Operations: ['7*9=63'] Exploring Operation: 73-63=10, Resulting Numbers: [2, 10] Generated Node #3: [2, 10] from Operation: 73-63=10 Current State: 20:[2, 10], Operations: ['7*9=63', '73-63=10'] Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 66, 26, 12, 1 ]
20
[ "12-1=11", "66/11=6", "26-6=20" ]
Current State: 20:[66, 26, 12, 1], Operations: [] Exploring Operation: 12-1=11, Resulting Numbers: [66, 26, 11] Generated Node #2: [66, 26, 11] from Operation: 12-1=11 Current State: 20:[66, 26, 11], Operations: ['12-1=11'] Exploring Operation: 66/11=6, Resulting Numbers: [26, 6] Generated Node #3: [26, 6] from Operation: 66/11=6 Current State: 20:[26, 6], Operations: ['12-1=11', '66/11=6'] Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 92, 6, 1, 38 ]
98
[ "6-1=5", "38*5=190", "190-92=98" ]
Current State: 98:[92, 6, 1, 38], Operations: [] Exploring Operation: 6-1=5, Resulting Numbers: [92, 38, 5] Generated Node #2: [92, 38, 5] from Operation: 6-1=5 Current State: 98:[92, 38, 5], Operations: ['6-1=5'] Exploring Operation: 38*5=190, Resulting Numbers: [92, 190] Generated Node #3: [92, 190] from Operation: 38*5=190 Current State: 98:[92, 190], Operations: ['6-1=5', '38*5=190'] Exploring Operation: 190-92=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 34, 26, 13, 89 ]
84
[ "34-26=8", "89-13=76", "8+76=84" ]
Current State: 84:[34, 26, 13, 89], Operations: [] Exploring Operation: 34-26=8, Resulting Numbers: [13, 89, 8] Generated Node #2: [13, 89, 8] from Operation: 34-26=8 Current State: 84:[13, 89, 8], Operations: ['34-26=8'] Exploring Operation: 89-13=76, Resulting Numbers: [8, 76] Generated Node #3: [8, 76] from Operation: 89-13=76 Current State: 84:[8, 76], Operations: ['34-26=8', '89-13=76'] Exploring Operation: 8+76=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 67, 54, 55, 5 ]
72
[ "67+5=72", "55-54=1", "72*1=72" ]
Current State: 72:[67, 54, 55, 5], Operations: [] Exploring Operation: 67+5=72, Resulting Numbers: [54, 55, 72] Generated Node #2: [54, 55, 72] from Operation: 67+5=72 Current State: 72:[54, 55, 72], Operations: ['67+5=72'] Exploring Operation: 55-54=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 55-54=1 Current State: 72:[72, 1], Operations: ['67+5=72', '55-54=1'] Exploring Operation: 72*1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 64, 70, 14, 40 ]
29
[ "64-40=24", "70/14=5", "24+5=29" ]
Current State: 29:[64, 70, 14, 40], Operations: [] Exploring Operation: 64-40=24, Resulting Numbers: [70, 14, 24] Generated Node #2: [70, 14, 24] from Operation: 64-40=24 Current State: 29:[70, 14, 24], Operations: ['64-40=24'] Exploring Operation: 70/14=5, Resulting Numbers: [24, 5] Generated Node #3: [24, 5] from Operation: 70/14=5 Current State: 29:[24, 5], Operations: ['64-40=24', '70/14=5'] Exploring Operation: 24+5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 3, 58, 2, 62 ]
57
[ "62-3=59", "58*2=116", "116-59=57" ]
Current State: 57:[3, 58, 2, 62], Operations: [] Exploring Operation: 62-3=59, Resulting Numbers: [58, 2, 59] Generated Node #2: [58, 2, 59] from Operation: 62-3=59 Current State: 57:[58, 2, 59], Operations: ['62-3=59'] Exploring Operation: 58*2=116, Resulting Numbers: [59, 116] Generated Node #3: [59, 116] from Operation: 58*2=116 Current State: 57:[59, 116], Operations: ['62-3=59', '58*2=116'] Exploring Operation: 116-59=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 2, 35, 14, 10 ]
18
[ "14/2=7", "35-10=25", "25-7=18" ]
Current State: 18:[2, 35, 14, 10], Operations: [] Exploring Operation: 14/2=7, Resulting Numbers: [35, 10, 7] Generated Node #2: [35, 10, 7] from Operation: 14/2=7 Current State: 18:[35, 10, 7], Operations: ['14/2=7'] Exploring Operation: 35-10=25, Resulting Numbers: [7, 25] Generated Node #3: [7, 25] from Operation: 35-10=25 Current State: 18:[7, 25], Operations: ['14/2=7', '35-10=25'] Exploring Operation: 25-7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 30, 22, 20, 11 ]
49
[ "22-20=2", "30*2=60", "60-11=49" ]
Current State: 49:[30, 22, 20, 11], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [30, 11, 2] Generated Node #2: [30, 11, 2] from Operation: 22-20=2 Current State: 49:[30, 11, 2], Operations: ['22-20=2'] Exploring Operation: 30*2=60, Resulting Numbers: [11, 60] Generated Node #3: [11, 60] from Operation: 30*2=60 Current State: 49:[11, 60], Operations: ['22-20=2', '30*2=60'] Exploring Operation: 60-11=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 22, 25, 51, 84 ]
99
[ "25-22=3", "84-51=33", "3*33=99" ]
Current State: 99:[22, 25, 51, 84], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [51, 84, 3] Generated Node #2: [51, 84, 3] from Operation: 25-22=3 Current State: 99:[51, 84, 3], Operations: ['25-22=3'] Exploring Operation: 84-51=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 84-51=33 Current State: 99:[3, 33], Operations: ['25-22=3', '84-51=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 43, 71, 61, 12 ]
41
[ "43+71=114", "61+12=73", "114-73=41" ]
Current State: 41:[43, 71, 61, 12], Operations: [] Exploring Operation: 43+71=114, Resulting Numbers: [61, 12, 114] Generated Node #2: [61, 12, 114] from Operation: 43+71=114 Current State: 41:[61, 12, 114], Operations: ['43+71=114'] Exploring Operation: 61+12=73, Resulting Numbers: [114, 73] Generated Node #3: [114, 73] from Operation: 61+12=73 Current State: 41:[114, 73], Operations: ['43+71=114', '61+12=73'] Exploring Operation: 114-73=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 50, 26, 33, 36 ]
98
[ "50-36=14", "33-26=7", "14*7=98" ]
Current State: 98:[50, 26, 33, 36], Operations: [] Exploring Operation: 50-36=14, Resulting Numbers: [26, 33, 14] Generated Node #2: [26, 33, 14] from Operation: 50-36=14 Current State: 98:[26, 33, 14], Operations: ['50-36=14'] Exploring Operation: 33-26=7, Resulting Numbers: [14, 7] Generated Node #3: [14, 7] from Operation: 33-26=7 Current State: 98:[14, 7], Operations: ['50-36=14', '33-26=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 18, 89, 5, 38 ]
39
[ "18*5=90", "89-38=51", "90-51=39" ]
Current State: 39:[18, 89, 5, 38], Operations: [] Exploring Operation: 18*5=90, Resulting Numbers: [89, 38, 90] Generated Node #2: [89, 38, 90] from Operation: 18*5=90 Current State: 39:[89, 38, 90], Operations: ['18*5=90'] Exploring Operation: 89-38=51, Resulting Numbers: [90, 51] Generated Node #3: [90, 51] from Operation: 89-38=51 Current State: 39:[90, 51], Operations: ['18*5=90', '89-38=51'] Exploring Operation: 90-51=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 72, 4, 31, 66 ]
21
[ "72+4=76", "31+66=97", "97-76=21" ]
Current State: 21:[72, 4, 31, 66], Operations: [] Exploring Operation: 72+4=76, Resulting Numbers: [31, 66, 76] Generated Node #2: [31, 66, 76] from Operation: 72+4=76 Current State: 21:[31, 66, 76], Operations: ['72+4=76'] Exploring Operation: 31+66=97, Resulting Numbers: [76, 97] Generated Node #3: [76, 97] from Operation: 31+66=97 Current State: 21:[76, 97], Operations: ['72+4=76', '31+66=97'] Exploring Operation: 97-76=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 4, 27, 72, 56 ]
65
[ "72/4=18", "27+56=83", "83-18=65" ]
Current State: 65:[4, 27, 72, 56], Operations: [] Exploring Operation: 72/4=18, Resulting Numbers: [27, 56, 18] Generated Node #2: [27, 56, 18] from Operation: 72/4=18 Current State: 65:[27, 56, 18], Operations: ['72/4=18'] Exploring Operation: 27+56=83, Resulting Numbers: [18, 83] Generated Node #3: [18, 83] from Operation: 27+56=83 Current State: 65:[18, 83], Operations: ['72/4=18', '27+56=83'] Exploring Operation: 83-18=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 20, 18, 10, 78 ]
86
[ "20-18=2", "10+78=88", "88-2=86" ]
Current State: 86:[20, 18, 10, 78], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [10, 78, 2] Generated Node #2: [10, 78, 2] from Operation: 20-18=2 Current State: 86:[10, 78, 2], Operations: ['20-18=2'] Exploring Operation: 10+78=88, Resulting Numbers: [2, 88] Generated Node #3: [2, 88] from Operation: 10+78=88 Current State: 86:[2, 88], Operations: ['20-18=2', '10+78=88'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 82, 91, 8, 84 ]
12
[ "91-82=9", "8*9=72", "84-72=12" ]
Current State: 12:[82, 91, 8, 84], Operations: [] Exploring Operation: 91-82=9, Resulting Numbers: [8, 84, 9] Generated Node #2: [8, 84, 9] from Operation: 91-82=9 Current State: 12:[8, 84, 9], Operations: ['91-82=9'] Exploring Operation: 8*9=72, Resulting Numbers: [84, 72] Generated Node #3: [84, 72] from Operation: 8*9=72 Current State: 12:[84, 72], Operations: ['91-82=9', '8*9=72'] Exploring Operation: 84-72=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 19, 88, 36, 36 ]
68
[ "88-19=69", "36/36=1", "69-1=68" ]
Current State: 68:[19, 88, 36, 36], Operations: [] Exploring Operation: 88-19=69, Resulting Numbers: [36, 36, 69] Generated Node #2: [36, 36, 69] from Operation: 88-19=69 Current State: 68:[36, 36, 69], Operations: ['88-19=69'] Exploring Operation: 36/36=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 36/36=1 Current State: 68:[69, 1], Operations: ['88-19=69', '36/36=1'] Exploring Operation: 69-1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 45, 9, 11, 21 ]
24
[ "45+11=56", "9*56=504", "504/21=24" ]
Current State: 24:[45, 9, 11, 21], Operations: [] Exploring Operation: 45+11=56, Resulting Numbers: [9, 21, 56] Generated Node #2: [9, 21, 56] from Operation: 45+11=56 Current State: 24:[9, 21, 56], Operations: ['45+11=56'] Exploring Operation: 9*56=504, Resulting Numbers: [21, 504] Generated Node #3: [21, 504] from Operation: 9*56=504 Current State: 24:[21, 504], Operations: ['45+11=56', '9*56=504'] Exploring Operation: 504/21=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 14, 65, 90, 50 ]
28
[ "14*50=700", "90-65=25", "700/25=28" ]
Current State: 28:[14, 65, 90, 50], Operations: [] Exploring Operation: 14*50=700, Resulting Numbers: [65, 90, 700] Generated Node #2: [65, 90, 700] from Operation: 14*50=700 Current State: 28:[65, 90, 700], Operations: ['14*50=700'] Exploring Operation: 90-65=25, Resulting Numbers: [700, 25] Generated Node #3: [700, 25] from Operation: 90-65=25 Current State: 28:[700, 25], Operations: ['14*50=700', '90-65=25'] Exploring Operation: 700/25=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 42, 74, 10, 13 ]
60
[ "13-10=3", "42/3=14", "74-14=60" ]
Current State: 60:[42, 74, 10, 13], Operations: [] Exploring Operation: 13-10=3, Resulting Numbers: [42, 74, 3] Generated Node #2: [42, 74, 3] from Operation: 13-10=3 Current State: 60:[42, 74, 3], Operations: ['13-10=3'] Exploring Operation: 42/3=14, Resulting Numbers: [74, 14] Generated Node #3: [74, 14] from Operation: 42/3=14 Current State: 60:[74, 14], Operations: ['13-10=3', '42/3=14'] Exploring Operation: 74-14=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 29, 73, 49, 47 ]
88
[ "73-29=44", "49-47=2", "44*2=88" ]
Current State: 88:[29, 73, 49, 47], Operations: [] Exploring Operation: 73-29=44, Resulting Numbers: [49, 47, 44] Generated Node #2: [49, 47, 44] from Operation: 73-29=44 Current State: 88:[49, 47, 44], Operations: ['73-29=44'] Exploring Operation: 49-47=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 49-47=2 Current State: 88:[44, 2], Operations: ['73-29=44', '49-47=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 8, 28, 52, 54 ]
10
[ "28-8=20", "54-52=2", "20/2=10" ]
Current State: 10:[8, 28, 52, 54], Operations: [] Exploring Operation: 28-8=20, Resulting Numbers: [52, 54, 20] Generated Node #2: [52, 54, 20] from Operation: 28-8=20 Current State: 10:[52, 54, 20], Operations: ['28-8=20'] Exploring Operation: 54-52=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 54-52=2 Current State: 10:[20, 2], Operations: ['28-8=20', '54-52=2'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 34, 68, 52, 81 ]
23
[ "68/34=2", "52*2=104", "104-81=23" ]
Current State: 23:[34, 68, 52, 81], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [52, 81, 2] Generated Node #2: [52, 81, 2] from Operation: 68/34=2 Current State: 23:[52, 81, 2], Operations: ['68/34=2'] Exploring Operation: 52*2=104, Resulting Numbers: [81, 104] Generated Node #3: [81, 104] from Operation: 52*2=104 Current State: 23:[81, 104], Operations: ['68/34=2', '52*2=104'] Exploring Operation: 104-81=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 7, 99, 27, 1 ]
18
[ "7*1=7", "99+27=126", "126/7=18" ]
Current State: 18:[7, 99, 27, 1], Operations: [] Exploring Operation: 7*1=7, Resulting Numbers: [99, 27, 7] Generated Node #2: [99, 27, 7] from Operation: 7*1=7 Current State: 18:[99, 27, 7], Operations: ['7*1=7'] Exploring Operation: 99+27=126, Resulting Numbers: [7, 126] Generated Node #3: [7, 126] from Operation: 99+27=126 Current State: 18:[7, 126], Operations: ['7*1=7', '99+27=126'] Exploring Operation: 126/7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 78, 93, 83, 87 ]
90
[ "87-78=9", "93-83=10", "9*10=90" ]
Current State: 90:[78, 93, 83, 87], Operations: [] Exploring Operation: 87-78=9, Resulting Numbers: [93, 83, 9] Generated Node #2: [93, 83, 9] from Operation: 87-78=9 Current State: 90:[93, 83, 9], Operations: ['87-78=9'] Exploring Operation: 93-83=10, Resulting Numbers: [9, 10] Generated Node #3: [9, 10] from Operation: 93-83=10 Current State: 90:[9, 10], Operations: ['87-78=9', '93-83=10'] Exploring Operation: 9*10=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 83, 81, 30, 71 ]
43
[ "83-81=2", "71-30=41", "2+41=43" ]
Current State: 43:[83, 81, 30, 71], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [30, 71, 2] Generated Node #2: [30, 71, 2] from Operation: 83-81=2 Current State: 43:[30, 71, 2], Operations: ['83-81=2'] Exploring Operation: 71-30=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 71-30=41 Current State: 43:[2, 41], Operations: ['83-81=2', '71-30=41'] Exploring Operation: 2+41=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 18, 5, 27, 75 ]
71
[ "18+5=23", "75-27=48", "23+48=71" ]
Current State: 71:[18, 5, 27, 75], Operations: [] Exploring Operation: 18+5=23, Resulting Numbers: [27, 75, 23] Generated Node #2: [27, 75, 23] from Operation: 18+5=23 Current State: 71:[27, 75, 23], Operations: ['18+5=23'] Exploring Operation: 75-27=48, Resulting Numbers: [23, 48] Generated Node #3: [23, 48] from Operation: 75-27=48 Current State: 71:[23, 48], Operations: ['18+5=23', '75-27=48'] Exploring Operation: 23+48=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 46, 4, 88, 34 ]
17
[ "46*34=1564", "4+88=92", "1564/92=17" ]
Current State: 17:[46, 4, 88, 34], Operations: [] Exploring Operation: 46*34=1564, Resulting Numbers: [4, 88, 1564] Generated Node #2: [4, 88, 1564] from Operation: 46*34=1564 Current State: 17:[4, 88, 1564], Operations: ['46*34=1564'] Exploring Operation: 4+88=92, Resulting Numbers: [1564, 92] Generated Node #3: [1564, 92] from Operation: 4+88=92 Current State: 17:[1564, 92], Operations: ['46*34=1564', '4+88=92'] Exploring Operation: 1564/92=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 36, 13, 52, 95 ]
63
[ "95-36=59", "52/13=4", "59+4=63" ]
Current State: 63:[36, 13, 52, 95], Operations: [] Exploring Operation: 95-36=59, Resulting Numbers: [13, 52, 59] Generated Node #2: [13, 52, 59] from Operation: 95-36=59 Current State: 63:[13, 52, 59], Operations: ['95-36=59'] Exploring Operation: 52/13=4, Resulting Numbers: [59, 4] Generated Node #3: [59, 4] from Operation: 52/13=4 Current State: 63:[59, 4], Operations: ['95-36=59', '52/13=4'] Exploring Operation: 59+4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 53, 83, 94, 2 ]
26
[ "53+83=136", "136/2=68", "94-68=26" ]
Current State: 26:[53, 83, 94, 2], Operations: [] Exploring Operation: 53+83=136, Resulting Numbers: [94, 2, 136] Generated Node #2: [94, 2, 136] from Operation: 53+83=136 Current State: 26:[94, 2, 136], Operations: ['53+83=136'] Exploring Operation: 136/2=68, Resulting Numbers: [94, 68] Generated Node #3: [94, 68] from Operation: 136/2=68 Current State: 26:[94, 68], Operations: ['53+83=136', '136/2=68'] Exploring Operation: 94-68=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 99, 97, 30, 69 ]
84
[ "99-97=2", "30/2=15", "69+15=84" ]
Current State: 84:[99, 97, 30, 69], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [30, 69, 2] Generated Node #2: [30, 69, 2] from Operation: 99-97=2 Current State: 84:[30, 69, 2], Operations: ['99-97=2'] Exploring Operation: 30/2=15, Resulting Numbers: [69, 15] Generated Node #3: [69, 15] from Operation: 30/2=15 Current State: 84:[69, 15], Operations: ['99-97=2', '30/2=15'] Exploring Operation: 69+15=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 15, 9, 2, 40 ]
45
[ "40/2=20", "20-15=5", "9*5=45" ]
Current State: 45:[15, 9, 2, 40], Operations: [] Exploring Operation: 40/2=20, Resulting Numbers: [15, 9, 20] Generated Node #2: [15, 9, 20] from Operation: 40/2=20 Current State: 45:[15, 9, 20], Operations: ['40/2=20'] Exploring Operation: 20-15=5, Resulting Numbers: [9, 5] Generated Node #3: [9, 5] from Operation: 20-15=5 Current State: 45:[9, 5], Operations: ['40/2=20', '20-15=5'] Exploring Operation: 9*5=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 48, 12, 46, 69 ]
59
[ "48-12=36", "69-46=23", "36+23=59" ]
Current State: 59:[48, 12, 46, 69], Operations: [] Exploring Operation: 48-12=36, Resulting Numbers: [46, 69, 36] Generated Node #2: [46, 69, 36] from Operation: 48-12=36 Current State: 59:[46, 69, 36], Operations: ['48-12=36'] Exploring Operation: 69-46=23, Resulting Numbers: [36, 23] Generated Node #3: [36, 23] from Operation: 69-46=23 Current State: 59:[36, 23], Operations: ['48-12=36', '69-46=23'] Exploring Operation: 36+23=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 3, 92, 37, 31 ]
77
[ "92*31=2852", "2852-3=2849", "2849/37=77" ]
Current State: 77:[3, 92, 37, 31], Operations: [] Exploring Operation: 92*31=2852, Resulting Numbers: [3, 37, 2852] Generated Node #2: [3, 37, 2852] from Operation: 92*31=2852 Current State: 77:[3, 37, 2852], Operations: ['92*31=2852'] Exploring Operation: 2852-3=2849, Resulting Numbers: [37, 2849] Generated Node #3: [37, 2849] from Operation: 2852-3=2849 Current State: 77:[37, 2849], Operations: ['92*31=2852', '2852-3=2849'] Exploring Operation: 2849/37=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 63, 28, 46, 3 ]
25
[ "63+46=109", "28*3=84", "109-84=25" ]
Current State: 25:[63, 28, 46, 3], Operations: [] Exploring Operation: 63+46=109, Resulting Numbers: [28, 3, 109] Generated Node #2: [28, 3, 109] from Operation: 63+46=109 Current State: 25:[28, 3, 109], Operations: ['63+46=109'] Exploring Operation: 28*3=84, Resulting Numbers: [109, 84] Generated Node #3: [109, 84] from Operation: 28*3=84 Current State: 25:[109, 84], Operations: ['63+46=109', '28*3=84'] Exploring Operation: 109-84=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 5, 43, 67, 60 ]
12
[ "60/5=12", "67-43=24", "24-12=12" ]
Current State: 12:[5, 43, 67, 60], Operations: [] Exploring Operation: 60/5=12, Resulting Numbers: [43, 67, 12] Generated Node #2: [43, 67, 12] from Operation: 60/5=12 Current State: 12:[43, 67, 12], Operations: ['60/5=12'] Exploring Operation: 67-43=24, Resulting Numbers: [12, 24] Generated Node #3: [12, 24] from Operation: 67-43=24 Current State: 12:[12, 24], Operations: ['60/5=12', '67-43=24'] Exploring Operation: 24-12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 73, 12, 97, 42 ]
44
[ "97-73=24", "24/12=2", "42+2=44" ]
Current State: 44:[73, 12, 97, 42], Operations: [] Exploring Operation: 97-73=24, Resulting Numbers: [12, 42, 24] Generated Node #2: [12, 42, 24] from Operation: 97-73=24 Current State: 44:[12, 42, 24], Operations: ['97-73=24'] Exploring Operation: 24/12=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 24/12=2 Current State: 44:[42, 2], Operations: ['97-73=24', '24/12=2'] Exploring Operation: 42+2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 52, 39, 60, 4 ]
34
[ "52/4=13", "60-39=21", "13+21=34" ]
Current State: 34:[52, 39, 60, 4], Operations: [] Exploring Operation: 52/4=13, Resulting Numbers: [39, 60, 13] Generated Node #2: [39, 60, 13] from Operation: 52/4=13 Current State: 34:[39, 60, 13], Operations: ['52/4=13'] Exploring Operation: 60-39=21, Resulting Numbers: [13, 21] Generated Node #3: [13, 21] from Operation: 60-39=21 Current State: 34:[13, 21], Operations: ['52/4=13', '60-39=21'] Exploring Operation: 13+21=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 3, 30, 44, 26 ]
32
[ "30-26=4", "3*4=12", "44-12=32" ]
Current State: 32:[3, 30, 44, 26], Operations: [] Exploring Operation: 30-26=4, Resulting Numbers: [3, 44, 4] Generated Node #2: [3, 44, 4] from Operation: 30-26=4 Current State: 32:[3, 44, 4], Operations: ['30-26=4'] Exploring Operation: 3*4=12, Resulting Numbers: [44, 12] Generated Node #3: [44, 12] from Operation: 3*4=12 Current State: 32:[44, 12], Operations: ['30-26=4', '3*4=12'] Exploring Operation: 44-12=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 55, 81, 18, 11 ]
58
[ "55/11=5", "81-18=63", "63-5=58" ]
Current State: 58:[55, 81, 18, 11], Operations: [] Exploring Operation: 55/11=5, Resulting Numbers: [81, 18, 5] Generated Node #2: [81, 18, 5] from Operation: 55/11=5 Current State: 58:[81, 18, 5], Operations: ['55/11=5'] Exploring Operation: 81-18=63, Resulting Numbers: [5, 63] Generated Node #3: [5, 63] from Operation: 81-18=63 Current State: 58:[5, 63], Operations: ['55/11=5', '81-18=63'] Exploring Operation: 63-5=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 3, 89, 76, 29 ]
48
[ "89-76=13", "29-13=16", "3*16=48" ]
Current State: 48:[3, 89, 76, 29], Operations: [] Exploring Operation: 89-76=13, Resulting Numbers: [3, 29, 13] Generated Node #2: [3, 29, 13] from Operation: 89-76=13 Current State: 48:[3, 29, 13], Operations: ['89-76=13'] Exploring Operation: 29-13=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 29-13=16 Current State: 48:[3, 16], Operations: ['89-76=13', '29-13=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 38, 67, 73, 18 ]
50
[ "38+67=105", "73-18=55", "105-55=50" ]
Current State: 50:[38, 67, 73, 18], Operations: [] Exploring Operation: 38+67=105, Resulting Numbers: [73, 18, 105] Generated Node #2: [73, 18, 105] from Operation: 38+67=105 Current State: 50:[73, 18, 105], Operations: ['38+67=105'] Exploring Operation: 73-18=55, Resulting Numbers: [105, 55] Generated Node #3: [105, 55] from Operation: 73-18=55 Current State: 50:[105, 55], Operations: ['38+67=105', '73-18=55'] Exploring Operation: 105-55=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 53, 82, 74, 2 ]
20
[ "74-53=21", "82/2=41", "41-21=20" ]
Current State: 20:[53, 82, 74, 2], Operations: [] Exploring Operation: 74-53=21, Resulting Numbers: [82, 2, 21] Generated Node #2: [82, 2, 21] from Operation: 74-53=21 Current State: 20:[82, 2, 21], Operations: ['74-53=21'] Exploring Operation: 82/2=41, Resulting Numbers: [21, 41] Generated Node #3: [21, 41] from Operation: 82/2=41 Current State: 20:[21, 41], Operations: ['74-53=21', '82/2=41'] Exploring Operation: 41-21=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 85, 52, 42, 98 ]
89
[ "85-52=33", "98-42=56", "33+56=89" ]
Current State: 89:[85, 52, 42, 98], Operations: [] Exploring Operation: 85-52=33, Resulting Numbers: [42, 98, 33] Generated Node #2: [42, 98, 33] from Operation: 85-52=33 Current State: 89:[42, 98, 33], Operations: ['85-52=33'] Exploring Operation: 98-42=56, Resulting Numbers: [33, 56] Generated Node #3: [33, 56] from Operation: 98-42=56 Current State: 89:[33, 56], Operations: ['85-52=33', '98-42=56'] Exploring Operation: 33+56=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 14, 16, 39, 17 ]
53
[ "14+39=53", "17-16=1", "53*1=53" ]
Current State: 53:[14, 16, 39, 17], Operations: [] Exploring Operation: 14+39=53, Resulting Numbers: [16, 17, 53] Generated Node #2: [16, 17, 53] from Operation: 14+39=53 Current State: 53:[16, 17, 53], Operations: ['14+39=53'] Exploring Operation: 17-16=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 17-16=1 Current State: 53:[53, 1], Operations: ['14+39=53', '17-16=1'] Exploring Operation: 53*1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 48, 60, 80, 59 ]
31
[ "48+60=108", "80+59=139", "139-108=31" ]
Current State: 31:[48, 60, 80, 59], Operations: [] Exploring Operation: 48+60=108, Resulting Numbers: [80, 59, 108] Generated Node #2: [80, 59, 108] from Operation: 48+60=108 Current State: 31:[80, 59, 108], Operations: ['48+60=108'] Exploring Operation: 80+59=139, Resulting Numbers: [108, 139] Generated Node #3: [108, 139] from Operation: 80+59=139 Current State: 31:[108, 139], Operations: ['48+60=108', '80+59=139'] Exploring Operation: 139-108=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 13, 9, 38, 2 ]
76
[ "13-9=4", "38/2=19", "4*19=76" ]
Current State: 76:[13, 9, 38, 2], Operations: [] Exploring Operation: 13-9=4, Resulting Numbers: [38, 2, 4] Generated Node #2: [38, 2, 4] from Operation: 13-9=4 Current State: 76:[38, 2, 4], Operations: ['13-9=4'] Exploring Operation: 38/2=19, Resulting Numbers: [4, 19] Generated Node #3: [4, 19] from Operation: 38/2=19 Current State: 76:[4, 19], Operations: ['13-9=4', '38/2=19'] Exploring Operation: 4*19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 45, 36, 30, 71 ]
20
[ "45+36=81", "30+71=101", "101-81=20" ]
Current State: 20:[45, 36, 30, 71], Operations: [] Exploring Operation: 45+36=81, Resulting Numbers: [30, 71, 81] Generated Node #2: [30, 71, 81] from Operation: 45+36=81 Current State: 20:[30, 71, 81], Operations: ['45+36=81'] Exploring Operation: 30+71=101, Resulting Numbers: [81, 101] Generated Node #3: [81, 101] from Operation: 30+71=101 Current State: 20:[81, 101], Operations: ['45+36=81', '30+71=101'] Exploring Operation: 101-81=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 8, 11, 53, 22 ]
78
[ "11-8=3", "53+22=75", "3+75=78" ]
Current State: 78:[8, 11, 53, 22], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [53, 22, 3] Generated Node #2: [53, 22, 3] from Operation: 11-8=3 Current State: 78:[53, 22, 3], Operations: ['11-8=3'] Exploring Operation: 53+22=75, Resulting Numbers: [3, 75] Generated Node #3: [3, 75] from Operation: 53+22=75 Current State: 78:[3, 75], Operations: ['11-8=3', '53+22=75'] Exploring Operation: 3+75=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 69, 81, 15, 98 ]
67
[ "69+81=150", "98-15=83", "150-83=67" ]
Current State: 67:[69, 81, 15, 98], Operations: [] Exploring Operation: 69+81=150, Resulting Numbers: [15, 98, 150] Generated Node #2: [15, 98, 150] from Operation: 69+81=150 Current State: 67:[15, 98, 150], Operations: ['69+81=150'] Exploring Operation: 98-15=83, Resulting Numbers: [150, 83] Generated Node #3: [150, 83] from Operation: 98-15=83 Current State: 67:[150, 83], Operations: ['69+81=150', '98-15=83'] Exploring Operation: 150-83=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 7, 6, 19, 86 ]
41
[ "7*19=133", "6+86=92", "133-92=41" ]
Current State: 41:[7, 6, 19, 86], Operations: [] Exploring Operation: 7*19=133, Resulting Numbers: [6, 86, 133] Generated Node #2: [6, 86, 133] from Operation: 7*19=133 Current State: 41:[6, 86, 133], Operations: ['7*19=133'] Exploring Operation: 6+86=92, Resulting Numbers: [133, 92] Generated Node #3: [133, 92] from Operation: 6+86=92 Current State: 41:[133, 92], Operations: ['7*19=133', '6+86=92'] Exploring Operation: 133-92=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 55, 46, 18, 41 ]
42
[ "55+46=101", "18+41=59", "101-59=42" ]
Current State: 42:[55, 46, 18, 41], Operations: [] Exploring Operation: 55+46=101, Resulting Numbers: [18, 41, 101] Generated Node #2: [18, 41, 101] from Operation: 55+46=101 Current State: 42:[18, 41, 101], Operations: ['55+46=101'] Exploring Operation: 18+41=59, Resulting Numbers: [101, 59] Generated Node #3: [101, 59] from Operation: 18+41=59 Current State: 42:[101, 59], Operations: ['55+46=101', '18+41=59'] Exploring Operation: 101-59=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 85, 18, 27, 56 ]
38
[ "85-18=67", "56-27=29", "67-29=38" ]
Current State: 38:[85, 18, 27, 56], Operations: [] Exploring Operation: 85-18=67, Resulting Numbers: [27, 56, 67] Generated Node #2: [27, 56, 67] from Operation: 85-18=67 Current State: 38:[27, 56, 67], Operations: ['85-18=67'] Exploring Operation: 56-27=29, Resulting Numbers: [67, 29] Generated Node #3: [67, 29] from Operation: 56-27=29 Current State: 38:[67, 29], Operations: ['85-18=67', '56-27=29'] Exploring Operation: 67-29=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 22, 30, 20, 40 ]
12
[ "30-22=8", "40-20=20", "20-8=12" ]
Current State: 12:[22, 30, 20, 40], Operations: [] Exploring Operation: 30-22=8, Resulting Numbers: [20, 40, 8] Generated Node #2: [20, 40, 8] from Operation: 30-22=8 Current State: 12:[20, 40, 8], Operations: ['30-22=8'] Exploring Operation: 40-20=20, Resulting Numbers: [8, 20] Generated Node #3: [8, 20] from Operation: 40-20=20 Current State: 12:[8, 20], Operations: ['30-22=8', '40-20=20'] Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 34, 61, 77, 83 ]
89
[ "34+61=95", "83-77=6", "95-6=89" ]
Current State: 89:[34, 61, 77, 83], Operations: [] Exploring Operation: 34+61=95, Resulting Numbers: [77, 83, 95] Generated Node #2: [77, 83, 95] from Operation: 34+61=95 Current State: 89:[77, 83, 95], Operations: ['34+61=95'] Exploring Operation: 83-77=6, Resulting Numbers: [95, 6] Generated Node #3: [95, 6] from Operation: 83-77=6 Current State: 89:[95, 6], Operations: ['34+61=95', '83-77=6'] Exploring Operation: 95-6=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 32, 51, 11, 1 ]
17
[ "32+1=33", "51*11=561", "561/33=17" ]
Current State: 17:[32, 51, 11, 1], Operations: [] Exploring Operation: 32+1=33, Resulting Numbers: [51, 11, 33] Generated Node #2: [51, 11, 33] from Operation: 32+1=33 Current State: 17:[51, 11, 33], Operations: ['32+1=33'] Exploring Operation: 51*11=561, Resulting Numbers: [33, 561] Generated Node #3: [33, 561] from Operation: 51*11=561 Current State: 17:[33, 561], Operations: ['32+1=33', '51*11=561'] Exploring Operation: 561/33=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 99, 90, 80, 11 ]
77
[ "99*80=7920", "7920/90=88", "88-11=77" ]
Current State: 77:[99, 90, 80, 11], Operations: [] Exploring Operation: 99*80=7920, Resulting Numbers: [90, 11, 7920] Generated Node #2: [90, 11, 7920] from Operation: 99*80=7920 Current State: 77:[90, 11, 7920], Operations: ['99*80=7920'] Exploring Operation: 7920/90=88, Resulting Numbers: [11, 88] Generated Node #3: [11, 88] from Operation: 7920/90=88 Current State: 77:[11, 88], Operations: ['99*80=7920', '7920/90=88'] Exploring Operation: 88-11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 62, 38, 45, 33 ]
85
[ "62-45=17", "38-33=5", "17*5=85" ]
Current State: 85:[62, 38, 45, 33], Operations: [] Exploring Operation: 62-45=17, Resulting Numbers: [38, 33, 17] Generated Node #2: [38, 33, 17] from Operation: 62-45=17 Current State: 85:[38, 33, 17], Operations: ['62-45=17'] Exploring Operation: 38-33=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 38-33=5 Current State: 85:[17, 5], Operations: ['62-45=17', '38-33=5'] Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 51, 59, 47, 80 ]
57
[ "59-51=8", "80/8=10", "47+10=57" ]
Current State: 57:[51, 59, 47, 80], Operations: [] Exploring Operation: 59-51=8, Resulting Numbers: [47, 80, 8] Generated Node #2: [47, 80, 8] from Operation: 59-51=8 Current State: 57:[47, 80, 8], Operations: ['59-51=8'] Exploring Operation: 80/8=10, Resulting Numbers: [47, 10] Generated Node #3: [47, 10] from Operation: 80/8=10 Current State: 57:[47, 10], Operations: ['59-51=8', '80/8=10'] Exploring Operation: 47+10=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 14, 27, 28, 38 ]
46
[ "28/14=2", "38/2=19", "27+19=46" ]
Current State: 46:[14, 27, 28, 38], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [27, 38, 2] Generated Node #2: [27, 38, 2] from Operation: 28/14=2 Current State: 46:[27, 38, 2], Operations: ['28/14=2'] Exploring Operation: 38/2=19, Resulting Numbers: [27, 19] Generated Node #3: [27, 19] from Operation: 38/2=19 Current State: 46:[27, 19], Operations: ['28/14=2', '38/2=19'] Exploring Operation: 27+19=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 56, 36, 72, 80 ]
60
[ "56+36=92", "72+80=152", "152-92=60" ]
Current State: 60:[56, 36, 72, 80], Operations: [] Exploring Operation: 56+36=92, Resulting Numbers: [72, 80, 92] Generated Node #2: [72, 80, 92] from Operation: 56+36=92 Current State: 60:[72, 80, 92], Operations: ['56+36=92'] Exploring Operation: 72+80=152, Resulting Numbers: [92, 152] Generated Node #3: [92, 152] from Operation: 72+80=152 Current State: 60:[92, 152], Operations: ['56+36=92', '72+80=152'] Exploring Operation: 152-92=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 75, 21, 74, 93 ]
71
[ "75+21=96", "74+93=167", "167-96=71" ]
Current State: 71:[75, 21, 74, 93], Operations: [] Exploring Operation: 75+21=96, Resulting Numbers: [74, 93, 96] Generated Node #2: [74, 93, 96] from Operation: 75+21=96 Current State: 71:[74, 93, 96], Operations: ['75+21=96'] Exploring Operation: 74+93=167, Resulting Numbers: [96, 167] Generated Node #3: [96, 167] from Operation: 74+93=167 Current State: 71:[96, 167], Operations: ['75+21=96', '74+93=167'] Exploring Operation: 167-96=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 13, 20, 84, 70 ]
11
[ "20*84=1680", "1680/70=24", "24-13=11" ]
Current State: 11:[13, 20, 84, 70], Operations: [] Exploring Operation: 20*84=1680, Resulting Numbers: [13, 70, 1680] Generated Node #2: [13, 70, 1680] from Operation: 20*84=1680 Current State: 11:[13, 70, 1680], Operations: ['20*84=1680'] Exploring Operation: 1680/70=24, Resulting Numbers: [13, 24] Generated Node #3: [13, 24] from Operation: 1680/70=24 Current State: 11:[13, 24], Operations: ['20*84=1680', '1680/70=24'] Exploring Operation: 24-13=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 82, 41, 37, 76 ]
80
[ "82-41=41", "76-37=39", "41+39=80" ]
Current State: 80:[82, 41, 37, 76], Operations: [] Exploring Operation: 82-41=41, Resulting Numbers: [37, 76, 41] Generated Node #2: [37, 76, 41] from Operation: 82-41=41 Current State: 80:[37, 76, 41], Operations: ['82-41=41'] Exploring Operation: 76-37=39, Resulting Numbers: [41, 39] Generated Node #3: [41, 39] from Operation: 76-37=39 Current State: 80:[41, 39], Operations: ['82-41=41', '76-37=39'] Exploring Operation: 41+39=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 22, 1, 34, 97 ]
84
[ "22-1=21", "97-34=63", "21+63=84" ]
Current State: 84:[22, 1, 34, 97], Operations: [] Exploring Operation: 22-1=21, Resulting Numbers: [34, 97, 21] Generated Node #2: [34, 97, 21] from Operation: 22-1=21 Current State: 84:[34, 97, 21], Operations: ['22-1=21'] Exploring Operation: 97-34=63, Resulting Numbers: [21, 63] Generated Node #3: [21, 63] from Operation: 97-34=63 Current State: 84:[21, 63], Operations: ['22-1=21', '97-34=63'] Exploring Operation: 21+63=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 47, 48, 9, 74 ]
45
[ "74-47=27", "27/9=3", "48-3=45" ]
Current State: 45:[47, 48, 9, 74], Operations: [] Exploring Operation: 74-47=27, Resulting Numbers: [48, 9, 27] Generated Node #2: [48, 9, 27] from Operation: 74-47=27 Current State: 45:[48, 9, 27], Operations: ['74-47=27'] Exploring Operation: 27/9=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 27/9=3 Current State: 45:[48, 3], Operations: ['74-47=27', '27/9=3'] Exploring Operation: 48-3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 40, 96, 65, 95 ]
100
[ "65+95=160", "160/40=4", "96+4=100" ]
Current State: 100:[40, 96, 65, 95], Operations: [] Exploring Operation: 65+95=160, Resulting Numbers: [40, 96, 160] Generated Node #2: [40, 96, 160] from Operation: 65+95=160 Current State: 100:[40, 96, 160], Operations: ['65+95=160'] Exploring Operation: 160/40=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 160/40=4 Current State: 100:[96, 4], Operations: ['65+95=160', '160/40=4'] Exploring Operation: 96+4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4