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
[ 32, 22, 54, 74 ]
64
[ "22+54=76", "76-74=2", "32*2=64" ]
Current State: 64:[32, 22, 54, 74], Operations: [] Exploring Operation: 22+54=76, Resulting Numbers: [32, 74, 76] Generated Node #2: [32, 74, 76] from Operation: 22+54=76 Current State: 64:[32, 74, 76], Operations: ['22+54=76'] Exploring Operation: 76-74=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 76-74=2 Current State: 64:[32, 2], Operations: ['22+54=76', '76-74=2'] Exploring Operation: 32*2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 34, 14, 67, 34 ]
53
[ "34+14=48", "67+34=101", "101-48=53" ]
Current State: 53:[34, 14, 67, 34], Operations: [] Exploring Operation: 34+14=48, Resulting Numbers: [67, 48] Generated Node #2: [67, 48] from Operation: 34+14=48 Current State: 53:[67, 48], Operations: ['34+14=48'] Exploring Operation: 67+34=101, Resulting Numbers: [48, 101] Generated Node #3: [48, 101] from Operation: 67+34=101 Current State: 53:[48, 101], Operations: ['34+14=48', '67+34=101'] Exploring Operation: 101-48=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 67, 84, 39, 67 ]
11
[ "84-67=17", "67-39=28", "28-17=11" ]
Current State: 11:[67, 84, 39, 67], Operations: [] Exploring Operation: 84-67=17, Resulting Numbers: [39, 17] Generated Node #2: [39, 17] from Operation: 84-67=17 Current State: 11:[39, 17], Operations: ['84-67=17'] Exploring Operation: 67-39=28, Resulting Numbers: [17, 28] Generated Node #3: [17, 28] from Operation: 67-39=28 Current State: 11:[17, 28], Operations: ['84-67=17', '67-39=28'] Exploring Operation: 28-17=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 72, 98, 82, 80 ]
77
[ "98-82=16", "80/16=5", "72+5=77" ]
Current State: 77:[72, 98, 82, 80], Operations: [] Exploring Operation: 98-82=16, Resulting Numbers: [72, 80, 16] Generated Node #2: [72, 80, 16] from Operation: 98-82=16 Current State: 77:[72, 80, 16], Operations: ['98-82=16'] Exploring Operation: 80/16=5, Resulting Numbers: [72, 5] Generated Node #3: [72, 5] from Operation: 80/16=5 Current State: 77:[72, 5], Operations: ['98-82=16', '80/16=5'] Exploring Operation: 72+5=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 64, 10, 20, 52 ]
80
[ "64-20=44", "52-44=8", "10*8=80" ]
Current State: 80:[64, 10, 20, 52], Operations: [] Exploring Operation: 64-20=44, Resulting Numbers: [10, 52, 44] Generated Node #2: [10, 52, 44] from Operation: 64-20=44 Current State: 80:[10, 52, 44], Operations: ['64-20=44'] Exploring Operation: 52-44=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 52-44=8 Current State: 80:[10, 8], Operations: ['64-20=44', '52-44=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 75, 89, 35, 68 ]
47
[ "89-75=14", "68-35=33", "14+33=47" ]
Current State: 47:[75, 89, 35, 68], Operations: [] Exploring Operation: 89-75=14, Resulting Numbers: [35, 68, 14] Generated Node #2: [35, 68, 14] from Operation: 89-75=14 Current State: 47:[35, 68, 14], Operations: ['89-75=14'] Exploring Operation: 68-35=33, Resulting Numbers: [14, 33] Generated Node #3: [14, 33] from Operation: 68-35=33 Current State: 47:[14, 33], Operations: ['89-75=14', '68-35=33'] Exploring Operation: 14+33=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 92, 1, 18, 38 ]
71
[ "92-1=91", "38-18=20", "91-20=71" ]
Current State: 71:[92, 1, 18, 38], Operations: [] Exploring Operation: 92-1=91, Resulting Numbers: [18, 38, 91] Generated Node #2: [18, 38, 91] from Operation: 92-1=91 Current State: 71:[18, 38, 91], Operations: ['92-1=91'] Exploring Operation: 38-18=20, Resulting Numbers: [91, 20] Generated Node #3: [91, 20] from Operation: 38-18=20 Current State: 71:[91, 20], Operations: ['92-1=91', '38-18=20'] Exploring Operation: 91-20=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 57, 2, 55, 52 ]
57
[ "55-2=53", "53-52=1", "57*1=57" ]
Current State: 57:[57, 2, 55, 52], Operations: [] Exploring Operation: 55-2=53, Resulting Numbers: [57, 52, 53] Generated Node #2: [57, 52, 53] from Operation: 55-2=53 Current State: 57:[57, 52, 53], Operations: ['55-2=53'] Exploring Operation: 53-52=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 53-52=1 Current State: 57:[57, 1], Operations: ['55-2=53', '53-52=1'] Exploring Operation: 57*1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 96, 79, 35, 93 ]
75
[ "96-79=17", "93-35=58", "17+58=75" ]
Current State: 75:[96, 79, 35, 93], Operations: [] Exploring Operation: 96-79=17, Resulting Numbers: [35, 93, 17] Generated Node #2: [35, 93, 17] from Operation: 96-79=17 Current State: 75:[35, 93, 17], Operations: ['96-79=17'] Exploring Operation: 93-35=58, Resulting Numbers: [17, 58] Generated Node #3: [17, 58] from Operation: 93-35=58 Current State: 75:[17, 58], Operations: ['96-79=17', '93-35=58'] Exploring Operation: 17+58=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 93, 98, 67, 90 ]
87
[ "98-67=31", "93/31=3", "90-3=87" ]
Current State: 87:[93, 98, 67, 90], Operations: [] Exploring Operation: 98-67=31, Resulting Numbers: [93, 90, 31] Generated Node #2: [93, 90, 31] from Operation: 98-67=31 Current State: 87:[93, 90, 31], Operations: ['98-67=31'] Exploring Operation: 93/31=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 93/31=3 Current State: 87:[90, 3], Operations: ['98-67=31', '93/31=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 1, 3, 91, 66 ]
96
[ "91-1=90", "90/3=30", "66+30=96" ]
Current State: 96:[1, 3, 91, 66], Operations: [] Exploring Operation: 91-1=90, Resulting Numbers: [3, 66, 90] Generated Node #2: [3, 66, 90] from Operation: 91-1=90 Current State: 96:[3, 66, 90], Operations: ['91-1=90'] Exploring Operation: 90/3=30, Resulting Numbers: [66, 30] Generated Node #3: [66, 30] from Operation: 90/3=30 Current State: 96:[66, 30], Operations: ['91-1=90', '90/3=30'] Exploring Operation: 66+30=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 63, 50, 50, 20 ]
58
[ "50+50=100", "100/20=5", "63-5=58" ]
Current State: 58:[63, 50, 50, 20], Operations: [] Exploring Operation: 50+50=100, Resulting Numbers: [63, 20, 100] Generated Node #2: [63, 20, 100] from Operation: 50+50=100 Current State: 58:[63, 20, 100], Operations: ['50+50=100'] Exploring Operation: 100/20=5, Resulting Numbers: [63, 5] Generated Node #3: [63, 5] from Operation: 100/20=5 Current State: 58:[63, 5], Operations: ['50+50=100', '100/20=5'] Exploring Operation: 63-5=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 6, 43, 42, 39 ]
21
[ "43-6=37", "39-37=2", "42/2=21" ]
Current State: 21:[6, 43, 42, 39], Operations: [] Exploring Operation: 43-6=37, Resulting Numbers: [42, 39, 37] Generated Node #2: [42, 39, 37] from Operation: 43-6=37 Current State: 21:[42, 39, 37], Operations: ['43-6=37'] Exploring Operation: 39-37=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 39-37=2 Current State: 21:[42, 2], Operations: ['43-6=37', '39-37=2'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 6, 75, 91, 30 ]
40
[ "6+75=81", "91+30=121", "121-81=40" ]
Current State: 40:[6, 75, 91, 30], Operations: [] Exploring Operation: 6+75=81, Resulting Numbers: [91, 30, 81] Generated Node #2: [91, 30, 81] from Operation: 6+75=81 Current State: 40:[91, 30, 81], Operations: ['6+75=81'] Exploring Operation: 91+30=121, Resulting Numbers: [81, 121] Generated Node #3: [81, 121] from Operation: 91+30=121 Current State: 40:[81, 121], Operations: ['6+75=81', '91+30=121'] Exploring Operation: 121-81=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 92, 5, 9, 15 ]
26
[ "92+9=101", "5*15=75", "101-75=26" ]
Current State: 26:[92, 5, 9, 15], Operations: [] Exploring Operation: 92+9=101, Resulting Numbers: [5, 15, 101] Generated Node #2: [5, 15, 101] from Operation: 92+9=101 Current State: 26:[5, 15, 101], Operations: ['92+9=101'] Exploring Operation: 5*15=75, Resulting Numbers: [101, 75] Generated Node #3: [101, 75] from Operation: 5*15=75 Current State: 26:[101, 75], Operations: ['92+9=101', '5*15=75'] Exploring Operation: 101-75=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 22, 11, 43, 88 ]
13
[ "43-22=21", "88/11=8", "21-8=13" ]
Current State: 13:[22, 11, 43, 88], Operations: [] Exploring Operation: 43-22=21, Resulting Numbers: [11, 88, 21] Generated Node #2: [11, 88, 21] from Operation: 43-22=21 Current State: 13:[11, 88, 21], Operations: ['43-22=21'] Exploring Operation: 88/11=8, Resulting Numbers: [21, 8] Generated Node #3: [21, 8] from Operation: 88/11=8 Current State: 13:[21, 8], Operations: ['43-22=21', '88/11=8'] Exploring Operation: 21-8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 6, 38, 55, 3 ]
69
[ "38-6=32", "55-32=23", "3*23=69" ]
Current State: 69:[6, 38, 55, 3], Operations: [] Exploring Operation: 38-6=32, Resulting Numbers: [55, 3, 32] Generated Node #2: [55, 3, 32] from Operation: 38-6=32 Current State: 69:[55, 3, 32], Operations: ['38-6=32'] Exploring Operation: 55-32=23, Resulting Numbers: [3, 23] Generated Node #3: [3, 23] from Operation: 55-32=23 Current State: 69:[3, 23], Operations: ['38-6=32', '55-32=23'] Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 14, 45, 4, 55 ]
11
[ "45+55=100", "100/4=25", "25-14=11" ]
Current State: 11:[14, 45, 4, 55], Operations: [] Exploring Operation: 45+55=100, Resulting Numbers: [14, 4, 100] Generated Node #2: [14, 4, 100] from Operation: 45+55=100 Current State: 11:[14, 4, 100], Operations: ['45+55=100'] Exploring Operation: 100/4=25, Resulting Numbers: [14, 25] Generated Node #3: [14, 25] from Operation: 100/4=25 Current State: 11:[14, 25], Operations: ['45+55=100', '100/4=25'] Exploring Operation: 25-14=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 63, 17, 39, 84 ]
12
[ "63-17=46", "46-39=7", "84/7=12" ]
Current State: 12:[63, 17, 39, 84], Operations: [] Exploring Operation: 63-17=46, Resulting Numbers: [39, 84, 46] Generated Node #2: [39, 84, 46] from Operation: 63-17=46 Current State: 12:[39, 84, 46], Operations: ['63-17=46'] Exploring Operation: 46-39=7, Resulting Numbers: [84, 7] Generated Node #3: [84, 7] from Operation: 46-39=7 Current State: 12:[84, 7], Operations: ['63-17=46', '46-39=7'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 28, 86, 59, 39 ]
94
[ "28+86=114", "59-39=20", "114-20=94" ]
Current State: 94:[28, 86, 59, 39], Operations: [] Exploring Operation: 28+86=114, Resulting Numbers: [59, 39, 114] Generated Node #2: [59, 39, 114] from Operation: 28+86=114 Current State: 94:[59, 39, 114], Operations: ['28+86=114'] Exploring Operation: 59-39=20, Resulting Numbers: [114, 20] Generated Node #3: [114, 20] from Operation: 59-39=20 Current State: 94:[114, 20], Operations: ['28+86=114', '59-39=20'] Exploring Operation: 114-20=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 75, 44, 64, 28 ]
83
[ "75+44=119", "64-28=36", "119-36=83" ]
Current State: 83:[75, 44, 64, 28], Operations: [] Exploring Operation: 75+44=119, Resulting Numbers: [64, 28, 119] Generated Node #2: [64, 28, 119] from Operation: 75+44=119 Current State: 83:[64, 28, 119], Operations: ['75+44=119'] Exploring Operation: 64-28=36, Resulting Numbers: [119, 36] Generated Node #3: [119, 36] from Operation: 64-28=36 Current State: 83:[119, 36], Operations: ['75+44=119', '64-28=36'] Exploring Operation: 119-36=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 50, 1, 15, 51 ]
87
[ "50+1=51", "51-15=36", "51+36=87" ]
Current State: 87:[50, 1, 15, 51], Operations: [] Exploring Operation: 50+1=51, Resulting Numbers: [15, 51, 51] Generated Node #2: [15, 51, 51] from Operation: 50+1=51 Current State: 87:[15, 51, 51], Operations: ['50+1=51'] Exploring Operation: 51-15=36, Resulting Numbers: [36] 36,87 equal: Goal Reached Exploring Operation: 51+36=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 20, 64, 79, 94 ]
69
[ "20+64=84", "94-79=15", "84-15=69" ]
Current State: 69:[20, 64, 79, 94], Operations: [] Exploring Operation: 20+64=84, Resulting Numbers: [79, 94, 84] Generated Node #2: [79, 94, 84] from Operation: 20+64=84 Current State: 69:[79, 94, 84], Operations: ['20+64=84'] Exploring Operation: 94-79=15, Resulting Numbers: [84, 15] Generated Node #3: [84, 15] from Operation: 94-79=15 Current State: 69:[84, 15], Operations: ['20+64=84', '94-79=15'] Exploring Operation: 84-15=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 41, 92, 14, 29 ]
76
[ "41-29=12", "14*12=168", "168-92=76" ]
Current State: 76:[41, 92, 14, 29], Operations: [] Exploring Operation: 41-29=12, Resulting Numbers: [92, 14, 12] Generated Node #2: [92, 14, 12] from Operation: 41-29=12 Current State: 76:[92, 14, 12], Operations: ['41-29=12'] Exploring Operation: 14*12=168, Resulting Numbers: [92, 168] Generated Node #3: [92, 168] from Operation: 14*12=168 Current State: 76:[92, 168], Operations: ['41-29=12', '14*12=168'] Exploring Operation: 168-92=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 76, 4, 61, 6 ]
28
[ "4*61=244", "244-76=168", "168/6=28" ]
Current State: 28:[76, 4, 61, 6], Operations: [] Exploring Operation: 4*61=244, Resulting Numbers: [76, 6, 244] Generated Node #2: [76, 6, 244] from Operation: 4*61=244 Current State: 28:[76, 6, 244], Operations: ['4*61=244'] Exploring Operation: 244-76=168, Resulting Numbers: [6, 168] Generated Node #3: [6, 168] from Operation: 244-76=168 Current State: 28:[6, 168], Operations: ['4*61=244', '244-76=168'] Exploring Operation: 168/6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 29, 65, 62, 31 ]
92
[ "29+65=94", "62/31=2", "94-2=92" ]
Current State: 92:[29, 65, 62, 31], Operations: [] Exploring Operation: 29+65=94, Resulting Numbers: [62, 31, 94] Generated Node #2: [62, 31, 94] from Operation: 29+65=94 Current State: 92:[62, 31, 94], Operations: ['29+65=94'] Exploring Operation: 62/31=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 62/31=2 Current State: 92:[94, 2], Operations: ['29+65=94', '62/31=2'] Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 30, 54, 20, 56 ]
10
[ "56-54=2", "20*2=40", "40-30=10" ]
Current State: 10:[30, 54, 20, 56], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [30, 20, 2] Generated Node #2: [30, 20, 2] from Operation: 56-54=2 Current State: 10:[30, 20, 2], Operations: ['56-54=2'] Exploring Operation: 20*2=40, Resulting Numbers: [30, 40] Generated Node #3: [30, 40] from Operation: 20*2=40 Current State: 10:[30, 40], Operations: ['56-54=2', '20*2=40'] Exploring Operation: 40-30=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 76, 68, 74, 70 ]
69
[ "76-74=2", "68+70=138", "138/2=69" ]
Current State: 69:[76, 68, 74, 70], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [68, 70, 2] Generated Node #2: [68, 70, 2] from Operation: 76-74=2 Current State: 69:[68, 70, 2], Operations: ['76-74=2'] Exploring Operation: 68+70=138, Resulting Numbers: [2, 138] Generated Node #3: [2, 138] from Operation: 68+70=138 Current State: 69:[2, 138], Operations: ['76-74=2', '68+70=138'] Exploring Operation: 138/2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 2, 75, 21, 34 ]
79
[ "34/2=17", "75+21=96", "96-17=79" ]
Current State: 79:[2, 75, 21, 34], Operations: [] Exploring Operation: 34/2=17, Resulting Numbers: [75, 21, 17] Generated Node #2: [75, 21, 17] from Operation: 34/2=17 Current State: 79:[75, 21, 17], Operations: ['34/2=17'] Exploring Operation: 75+21=96, Resulting Numbers: [17, 96] Generated Node #3: [17, 96] from Operation: 75+21=96 Current State: 79:[17, 96], Operations: ['34/2=17', '75+21=96'] Exploring Operation: 96-17=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 84, 63, 82, 42 ]
62
[ "63*82=5166", "42+5166=5208", "5208/84=62" ]
Current State: 62:[84, 63, 82, 42], Operations: [] Exploring Operation: 63*82=5166, Resulting Numbers: [84, 42, 5166] Generated Node #2: [84, 42, 5166] from Operation: 63*82=5166 Current State: 62:[84, 42, 5166], Operations: ['63*82=5166'] Exploring Operation: 42+5166=5208, Resulting Numbers: [84, 5208] Generated Node #3: [84, 5208] from Operation: 42+5166=5208 Current State: 62:[84, 5208], Operations: ['63*82=5166', '42+5166=5208'] Exploring Operation: 5208/84=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 12, 26, 56, 74 ]
92
[ "12+26=38", "56+74=130", "130-38=92" ]
Current State: 92:[12, 26, 56, 74], Operations: [] Exploring Operation: 12+26=38, Resulting Numbers: [56, 74, 38] Generated Node #2: [56, 74, 38] from Operation: 12+26=38 Current State: 92:[56, 74, 38], Operations: ['12+26=38'] Exploring Operation: 56+74=130, Resulting Numbers: [38, 130] Generated Node #3: [38, 130] from Operation: 56+74=130 Current State: 92:[38, 130], Operations: ['12+26=38', '56+74=130'] Exploring Operation: 130-38=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 46, 29, 78, 86 ]
89
[ "46+29=75", "78+86=164", "164-75=89" ]
Current State: 89:[46, 29, 78, 86], Operations: [] Exploring Operation: 46+29=75, Resulting Numbers: [78, 86, 75] Generated Node #2: [78, 86, 75] from Operation: 46+29=75 Current State: 89:[78, 86, 75], Operations: ['46+29=75'] Exploring Operation: 78+86=164, Resulting Numbers: [75, 164] Generated Node #3: [75, 164] from Operation: 78+86=164 Current State: 89:[75, 164], Operations: ['46+29=75', '78+86=164'] Exploring Operation: 164-75=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 72, 87, 73, 9 ]
20
[ "72/9=8", "87+73=160", "160/8=20" ]
Current State: 20:[72, 87, 73, 9], Operations: [] Exploring Operation: 72/9=8, Resulting Numbers: [87, 73, 8] Generated Node #2: [87, 73, 8] from Operation: 72/9=8 Current State: 20:[87, 73, 8], Operations: ['72/9=8'] Exploring Operation: 87+73=160, Resulting Numbers: [8, 160] Generated Node #3: [8, 160] from Operation: 87+73=160 Current State: 20:[8, 160], Operations: ['72/9=8', '87+73=160'] Exploring Operation: 160/8=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 39, 12, 19, 35 ]
34
[ "19-12=7", "35/7=5", "39-5=34" ]
Current State: 34:[39, 12, 19, 35], Operations: [] Exploring Operation: 19-12=7, Resulting Numbers: [39, 35, 7] Generated Node #2: [39, 35, 7] from Operation: 19-12=7 Current State: 34:[39, 35, 7], Operations: ['19-12=7'] Exploring Operation: 35/7=5, Resulting Numbers: [39, 5] Generated Node #3: [39, 5] from Operation: 35/7=5 Current State: 34:[39, 5], Operations: ['19-12=7', '35/7=5'] Exploring Operation: 39-5=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 25, 63, 19, 86 ]
84
[ "63-25=38", "38/19=2", "86-2=84" ]
Current State: 84:[25, 63, 19, 86], Operations: [] Exploring Operation: 63-25=38, Resulting Numbers: [19, 86, 38] Generated Node #2: [19, 86, 38] from Operation: 63-25=38 Current State: 84:[19, 86, 38], Operations: ['63-25=38'] Exploring Operation: 38/19=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 38/19=2 Current State: 84:[86, 2], Operations: ['63-25=38', '38/19=2'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 69, 7, 10, 16 ]
27
[ "16-10=6", "7*6=42", "69-42=27" ]
Current State: 27:[69, 7, 10, 16], Operations: [] Exploring Operation: 16-10=6, Resulting Numbers: [69, 7, 6] Generated Node #2: [69, 7, 6] from Operation: 16-10=6 Current State: 27:[69, 7, 6], Operations: ['16-10=6'] Exploring Operation: 7*6=42, Resulting Numbers: [69, 42] Generated Node #3: [69, 42] from Operation: 7*6=42 Current State: 27:[69, 42], Operations: ['16-10=6', '7*6=42'] Exploring Operation: 69-42=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 87, 24, 53, 33 ]
36
[ "53-24=29", "87/29=3", "33+3=36" ]
Current State: 36:[87, 24, 53, 33], Operations: [] Exploring Operation: 53-24=29, Resulting Numbers: [87, 33, 29] Generated Node #2: [87, 33, 29] from Operation: 53-24=29 Current State: 36:[87, 33, 29], Operations: ['53-24=29'] Exploring Operation: 87/29=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 87/29=3 Current State: 36:[33, 3], Operations: ['53-24=29', '87/29=3'] Exploring Operation: 33+3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 18, 81, 87, 40 ]
16
[ "81-18=63", "87-40=47", "63-47=16" ]
Current State: 16:[18, 81, 87, 40], Operations: [] Exploring Operation: 81-18=63, Resulting Numbers: [87, 40, 63] Generated Node #2: [87, 40, 63] from Operation: 81-18=63 Current State: 16:[87, 40, 63], Operations: ['81-18=63'] Exploring Operation: 87-40=47, Resulting Numbers: [63, 47] Generated Node #3: [63, 47] from Operation: 87-40=47 Current State: 16:[63, 47], Operations: ['81-18=63', '87-40=47'] Exploring Operation: 63-47=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 92, 41, 18, 22 ]
93
[ "92+41=133", "18+22=40", "133-40=93" ]
Current State: 93:[92, 41, 18, 22], Operations: [] Exploring Operation: 92+41=133, Resulting Numbers: [18, 22, 133] Generated Node #2: [18, 22, 133] from Operation: 92+41=133 Current State: 93:[18, 22, 133], Operations: ['92+41=133'] Exploring Operation: 18+22=40, Resulting Numbers: [133, 40] Generated Node #3: [133, 40] from Operation: 18+22=40 Current State: 93:[133, 40], Operations: ['92+41=133', '18+22=40'] Exploring Operation: 133-40=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 21, 13, 62, 41 ]
29
[ "21-13=8", "62-41=21", "8+21=29" ]
Current State: 29:[21, 13, 62, 41], Operations: [] Exploring Operation: 21-13=8, Resulting Numbers: [62, 41, 8] Generated Node #2: [62, 41, 8] from Operation: 21-13=8 Current State: 29:[62, 41, 8], Operations: ['21-13=8'] Exploring Operation: 62-41=21, Resulting Numbers: [8, 21] Generated Node #3: [8, 21] from Operation: 62-41=21 Current State: 29:[8, 21], Operations: ['21-13=8', '62-41=21'] Exploring Operation: 8+21=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 5, 94, 67, 93 ]
61
[ "5+94=99", "67+93=160", "160-99=61" ]
Current State: 61:[5, 94, 67, 93], Operations: [] Exploring Operation: 5+94=99, Resulting Numbers: [67, 93, 99] Generated Node #2: [67, 93, 99] from Operation: 5+94=99 Current State: 61:[67, 93, 99], Operations: ['5+94=99'] Exploring Operation: 67+93=160, Resulting Numbers: [99, 160] Generated Node #3: [99, 160] from Operation: 67+93=160 Current State: 61:[99, 160], Operations: ['5+94=99', '67+93=160'] Exploring Operation: 160-99=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 71, 24, 2, 92 ]
74
[ "71*2=142", "92-24=68", "142-68=74" ]
Current State: 74:[71, 24, 2, 92], Operations: [] Exploring Operation: 71*2=142, Resulting Numbers: [24, 92, 142] Generated Node #2: [24, 92, 142] from Operation: 71*2=142 Current State: 74:[24, 92, 142], Operations: ['71*2=142'] Exploring Operation: 92-24=68, Resulting Numbers: [142, 68] Generated Node #3: [142, 68] from Operation: 92-24=68 Current State: 74:[142, 68], Operations: ['71*2=142', '92-24=68'] Exploring Operation: 142-68=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 87, 2, 2, 68 ]
23
[ "87+2=89", "68-2=66", "89-66=23" ]
Current State: 23:[87, 2, 2, 68], Operations: [] Exploring Operation: 87+2=89, Resulting Numbers: [68, 89] Generated Node #2: [68, 89] from Operation: 87+2=89 Current State: 23:[68, 89], Operations: ['87+2=89'] Exploring Operation: 68-2=66, Resulting Numbers: [89, 66] Generated Node #3: [89, 66] from Operation: 68-2=66 Current State: 23:[89, 66], Operations: ['87+2=89', '68-2=66'] Exploring Operation: 89-66=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 11, 4, 69, 7 ]
69
[ "11-4=7", "69+7=76", "76-7=69" ]
Current State: 69:[11, 4, 69, 7], Operations: [] Exploring Operation: 11-4=7, Resulting Numbers: [69, 7, 7] Generated Node #2: [69, 7, 7] from Operation: 11-4=7 Current State: 69:[69, 7, 7], Operations: ['11-4=7'] Exploring Operation: 69+7=76, Resulting Numbers: [76] 76,69 equal: Goal Reached Exploring Operation: 76-7=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 32, 8, 6, 89 ]
71
[ "32-8=24", "6+89=95", "95-24=71" ]
Current State: 71:[32, 8, 6, 89], Operations: [] Exploring Operation: 32-8=24, Resulting Numbers: [6, 89, 24] Generated Node #2: [6, 89, 24] from Operation: 32-8=24 Current State: 71:[6, 89, 24], Operations: ['32-8=24'] Exploring Operation: 6+89=95, Resulting Numbers: [24, 95] Generated Node #3: [24, 95] from Operation: 6+89=95 Current State: 71:[24, 95], Operations: ['32-8=24', '6+89=95'] Exploring Operation: 95-24=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 96, 13, 21, 12 ]
75
[ "96-21=75", "13-12=1", "75*1=75" ]
Current State: 75:[96, 13, 21, 12], Operations: [] Exploring Operation: 96-21=75, Resulting Numbers: [13, 12, 75] Generated Node #2: [13, 12, 75] from Operation: 96-21=75 Current State: 75:[13, 12, 75], Operations: ['96-21=75'] Exploring Operation: 13-12=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 13-12=1 Current State: 75:[75, 1], Operations: ['96-21=75', '13-12=1'] Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 35, 33, 52, 31 ]
18
[ "33-31=2", "35*2=70", "70-52=18" ]
Current State: 18:[35, 33, 52, 31], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [35, 52, 2] Generated Node #2: [35, 52, 2] from Operation: 33-31=2 Current State: 18:[35, 52, 2], Operations: ['33-31=2'] Exploring Operation: 35*2=70, Resulting Numbers: [52, 70] Generated Node #3: [52, 70] from Operation: 35*2=70 Current State: 18:[52, 70], Operations: ['33-31=2', '35*2=70'] Exploring Operation: 70-52=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 62, 43, 26, 33 ]
32
[ "43*26=1118", "1118-62=1056", "1056/33=32" ]
Current State: 32:[62, 43, 26, 33], Operations: [] Exploring Operation: 43*26=1118, Resulting Numbers: [62, 33, 1118] Generated Node #2: [62, 33, 1118] from Operation: 43*26=1118 Current State: 32:[62, 33, 1118], Operations: ['43*26=1118'] Exploring Operation: 1118-62=1056, Resulting Numbers: [33, 1056] Generated Node #3: [33, 1056] from Operation: 1118-62=1056 Current State: 32:[33, 1056], Operations: ['43*26=1118', '1118-62=1056'] Exploring Operation: 1056/33=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 92, 41, 83, 81 ]
96
[ "83+81=164", "164/41=4", "92+4=96" ]
Current State: 96:[92, 41, 83, 81], Operations: [] Exploring Operation: 83+81=164, Resulting Numbers: [92, 41, 164] Generated Node #2: [92, 41, 164] from Operation: 83+81=164 Current State: 96:[92, 41, 164], Operations: ['83+81=164'] Exploring Operation: 164/41=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 164/41=4 Current State: 96:[92, 4], Operations: ['83+81=164', '164/41=4'] Exploring Operation: 92+4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 33, 80, 16, 32 ]
14
[ "33*16=528", "528-80=448", "448/32=14" ]
Current State: 14:[33, 80, 16, 32], Operations: [] Exploring Operation: 33*16=528, Resulting Numbers: [80, 32, 528] Generated Node #2: [80, 32, 528] from Operation: 33*16=528 Current State: 14:[80, 32, 528], Operations: ['33*16=528'] Exploring Operation: 528-80=448, Resulting Numbers: [32, 448] Generated Node #3: [32, 448] from Operation: 528-80=448 Current State: 14:[32, 448], Operations: ['33*16=528', '528-80=448'] Exploring Operation: 448/32=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 91, 41, 96, 23 ]
74
[ "96-91=5", "23*5=115", "115-41=74" ]
Current State: 74:[91, 41, 96, 23], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [41, 23, 5] Generated Node #2: [41, 23, 5] from Operation: 96-91=5 Current State: 74:[41, 23, 5], Operations: ['96-91=5'] Exploring Operation: 23*5=115, Resulting Numbers: [41, 115] Generated Node #3: [41, 115] from Operation: 23*5=115 Current State: 74:[41, 115], Operations: ['96-91=5', '23*5=115'] Exploring Operation: 115-41=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 34, 19, 3, 24 ]
74
[ "34+19=53", "24-3=21", "53+21=74" ]
Current State: 74:[34, 19, 3, 24], Operations: [] Exploring Operation: 34+19=53, Resulting Numbers: [3, 24, 53] Generated Node #2: [3, 24, 53] from Operation: 34+19=53 Current State: 74:[3, 24, 53], Operations: ['34+19=53'] Exploring Operation: 24-3=21, Resulting Numbers: [53, 21] Generated Node #3: [53, 21] from Operation: 24-3=21 Current State: 74:[53, 21], Operations: ['34+19=53', '24-3=21'] Exploring Operation: 53+21=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 9, 33, 67, 86 ]
61
[ "9+33=42", "86-67=19", "42+19=61" ]
Current State: 61:[9, 33, 67, 86], Operations: [] Exploring Operation: 9+33=42, Resulting Numbers: [67, 86, 42] Generated Node #2: [67, 86, 42] from Operation: 9+33=42 Current State: 61:[67, 86, 42], Operations: ['9+33=42'] Exploring Operation: 86-67=19, Resulting Numbers: [42, 19] Generated Node #3: [42, 19] from Operation: 86-67=19 Current State: 61:[42, 19], Operations: ['9+33=42', '86-67=19'] Exploring Operation: 42+19=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 75, 99, 9, 24 ]
72
[ "9+24=33", "99/33=3", "75-3=72" ]
Current State: 72:[75, 99, 9, 24], Operations: [] Exploring Operation: 9+24=33, Resulting Numbers: [75, 99, 33] Generated Node #2: [75, 99, 33] from Operation: 9+24=33 Current State: 72:[75, 99, 33], Operations: ['9+24=33'] Exploring Operation: 99/33=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 99/33=3 Current State: 72:[75, 3], Operations: ['9+24=33', '99/33=3'] Exploring Operation: 75-3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 12, 47, 84, 27 ]
27
[ "84/12=7", "47-27=20", "7+20=27" ]
Current State: 27:[12, 47, 84, 27], Operations: [] Exploring Operation: 84/12=7, Resulting Numbers: [47, 27, 7] Generated Node #2: [47, 27, 7] from Operation: 84/12=7 Current State: 27:[47, 27, 7], Operations: ['84/12=7'] Exploring Operation: 47-27=20, Resulting Numbers: [7, 20] Generated Node #3: [7, 20] from Operation: 47-27=20 Current State: 27:[7, 20], Operations: ['84/12=7', '47-27=20'] Exploring Operation: 7+20=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 98, 56, 14, 92 ]
100
[ "98/14=7", "56/7=8", "92+8=100" ]
Current State: 100:[98, 56, 14, 92], Operations: [] Exploring Operation: 98/14=7, Resulting Numbers: [56, 92, 7] Generated Node #2: [56, 92, 7] from Operation: 98/14=7 Current State: 100:[56, 92, 7], Operations: ['98/14=7'] Exploring Operation: 56/7=8, Resulting Numbers: [92, 8] Generated Node #3: [92, 8] from Operation: 56/7=8 Current State: 100:[92, 8], Operations: ['98/14=7', '56/7=8'] Exploring Operation: 92+8=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 64, 7, 56, 79 ]
97
[ "79-56=23", "7*23=161", "161-64=97" ]
Current State: 97:[64, 7, 56, 79], Operations: [] Exploring Operation: 79-56=23, Resulting Numbers: [64, 7, 23] Generated Node #2: [64, 7, 23] from Operation: 79-56=23 Current State: 97:[64, 7, 23], Operations: ['79-56=23'] Exploring Operation: 7*23=161, Resulting Numbers: [64, 161] Generated Node #3: [64, 161] from Operation: 7*23=161 Current State: 97:[64, 161], Operations: ['79-56=23', '7*23=161'] Exploring Operation: 161-64=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 23, 24, 48, 90 ]
54
[ "24*48=1152", "90+1152=1242", "1242/23=54" ]
Current State: 54:[23, 24, 48, 90], Operations: [] Exploring Operation: 24*48=1152, Resulting Numbers: [23, 90, 1152] Generated Node #2: [23, 90, 1152] from Operation: 24*48=1152 Current State: 54:[23, 90, 1152], Operations: ['24*48=1152'] Exploring Operation: 90+1152=1242, Resulting Numbers: [23, 1242] Generated Node #3: [23, 1242] from Operation: 90+1152=1242 Current State: 54:[23, 1242], Operations: ['24*48=1152', '90+1152=1242'] Exploring Operation: 1242/23=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 10, 17, 35, 33 ]
44
[ "35-33=2", "17*2=34", "10+34=44" ]
Current State: 44:[10, 17, 35, 33], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [10, 17, 2] Generated Node #2: [10, 17, 2] from Operation: 35-33=2 Current State: 44:[10, 17, 2], Operations: ['35-33=2'] Exploring Operation: 17*2=34, Resulting Numbers: [10, 34] Generated Node #3: [10, 34] from Operation: 17*2=34 Current State: 44:[10, 34], Operations: ['35-33=2', '17*2=34'] Exploring Operation: 10+34=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 25, 15, 45, 5 ]
40
[ "25-15=10", "45+5=50", "50-10=40" ]
Current State: 40:[25, 15, 45, 5], Operations: [] Exploring Operation: 25-15=10, Resulting Numbers: [45, 5, 10] Generated Node #2: [45, 5, 10] from Operation: 25-15=10 Current State: 40:[45, 5, 10], Operations: ['25-15=10'] Exploring Operation: 45+5=50, Resulting Numbers: [10, 50] Generated Node #3: [10, 50] from Operation: 45+5=50 Current State: 40:[10, 50], Operations: ['25-15=10', '45+5=50'] Exploring Operation: 50-10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 54, 74, 81, 38 ]
17
[ "81*38=3078", "3078/54=57", "74-57=17" ]
Current State: 17:[54, 74, 81, 38], Operations: [] Exploring Operation: 81*38=3078, Resulting Numbers: [54, 74, 3078] Generated Node #2: [54, 74, 3078] from Operation: 81*38=3078 Current State: 17:[54, 74, 3078], Operations: ['81*38=3078'] Exploring Operation: 3078/54=57, Resulting Numbers: [74, 57] Generated Node #3: [74, 57] from Operation: 3078/54=57 Current State: 17:[74, 57], Operations: ['81*38=3078', '3078/54=57'] Exploring Operation: 74-57=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 69, 97, 53, 3 ]
49
[ "69-53=16", "3*16=48", "97-48=49" ]
Current State: 49:[69, 97, 53, 3], Operations: [] Exploring Operation: 69-53=16, Resulting Numbers: [97, 3, 16] Generated Node #2: [97, 3, 16] from Operation: 69-53=16 Current State: 49:[97, 3, 16], Operations: ['69-53=16'] Exploring Operation: 3*16=48, Resulting Numbers: [97, 48] Generated Node #3: [97, 48] from Operation: 3*16=48 Current State: 49:[97, 48], Operations: ['69-53=16', '3*16=48'] Exploring Operation: 97-48=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 1, 45, 26, 34 ]
37
[ "1*45=45", "34-26=8", "45-8=37" ]
Current State: 37:[1, 45, 26, 34], Operations: [] Exploring Operation: 1*45=45, Resulting Numbers: [26, 34, 45] Generated Node #2: [26, 34, 45] from Operation: 1*45=45 Current State: 37:[26, 34, 45], Operations: ['1*45=45'] Exploring Operation: 34-26=8, Resulting Numbers: [45, 8] Generated Node #3: [45, 8] from Operation: 34-26=8 Current State: 37:[45, 8], Operations: ['1*45=45', '34-26=8'] Exploring Operation: 45-8=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 43, 76, 41, 2 ]
40
[ "43-41=2", "76/2=38", "2+38=40" ]
Current State: 40:[43, 76, 41, 2], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [76, 2, 2] Generated Node #2: [76, 2, 2] from Operation: 43-41=2 Current State: 40:[76, 2, 2], Operations: ['43-41=2'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,40 equal: Goal Reached Exploring Operation: 2+38=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 2, 33, 53, 70 ]
32
[ "33+53=86", "86-70=16", "2*16=32" ]
Current State: 32:[2, 33, 53, 70], Operations: [] Exploring Operation: 33+53=86, Resulting Numbers: [2, 70, 86] Generated Node #2: [2, 70, 86] from Operation: 33+53=86 Current State: 32:[2, 70, 86], Operations: ['33+53=86'] Exploring Operation: 86-70=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 86-70=16 Current State: 32:[2, 16], Operations: ['33+53=86', '86-70=16'] Exploring Operation: 2*16=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 93, 9, 94, 70 ]
78
[ "93+9=102", "94-70=24", "102-24=78" ]
Current State: 78:[93, 9, 94, 70], Operations: [] Exploring Operation: 93+9=102, Resulting Numbers: [94, 70, 102] Generated Node #2: [94, 70, 102] from Operation: 93+9=102 Current State: 78:[94, 70, 102], Operations: ['93+9=102'] Exploring Operation: 94-70=24, Resulting Numbers: [102, 24] Generated Node #3: [102, 24] from Operation: 94-70=24 Current State: 78:[102, 24], Operations: ['93+9=102', '94-70=24'] Exploring Operation: 102-24=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 87, 41, 85, 65 ]
66
[ "87-41=46", "85-65=20", "46+20=66" ]
Current State: 66:[87, 41, 85, 65], Operations: [] Exploring Operation: 87-41=46, Resulting Numbers: [85, 65, 46] Generated Node #2: [85, 65, 46] from Operation: 87-41=46 Current State: 66:[85, 65, 46], Operations: ['87-41=46'] Exploring Operation: 85-65=20, Resulting Numbers: [46, 20] Generated Node #3: [46, 20] from Operation: 85-65=20 Current State: 66:[46, 20], Operations: ['87-41=46', '85-65=20'] Exploring Operation: 46+20=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 40, 96, 32, 29 ]
75
[ "40+96=136", "32+29=61", "136-61=75" ]
Current State: 75:[40, 96, 32, 29], Operations: [] Exploring Operation: 40+96=136, Resulting Numbers: [32, 29, 136] Generated Node #2: [32, 29, 136] from Operation: 40+96=136 Current State: 75:[32, 29, 136], Operations: ['40+96=136'] Exploring Operation: 32+29=61, Resulting Numbers: [136, 61] Generated Node #3: [136, 61] from Operation: 32+29=61 Current State: 75:[136, 61], Operations: ['40+96=136', '32+29=61'] Exploring Operation: 136-61=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 31, 62, 97, 68 ]
64
[ "31+62=93", "97-68=29", "93-29=64" ]
Current State: 64:[31, 62, 97, 68], Operations: [] Exploring Operation: 31+62=93, Resulting Numbers: [97, 68, 93] Generated Node #2: [97, 68, 93] from Operation: 31+62=93 Current State: 64:[97, 68, 93], Operations: ['31+62=93'] Exploring Operation: 97-68=29, Resulting Numbers: [93, 29] Generated Node #3: [93, 29] from Operation: 97-68=29 Current State: 64:[93, 29], Operations: ['31+62=93', '97-68=29'] Exploring Operation: 93-29=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 8, 29, 62, 32 ]
87
[ "32/8=4", "29+62=91", "91-4=87" ]
Current State: 87:[8, 29, 62, 32], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [29, 62, 4] Generated Node #2: [29, 62, 4] from Operation: 32/8=4 Current State: 87:[29, 62, 4], Operations: ['32/8=4'] Exploring Operation: 29+62=91, Resulting Numbers: [4, 91] Generated Node #3: [4, 91] from Operation: 29+62=91 Current State: 87:[4, 91], Operations: ['32/8=4', '29+62=91'] Exploring Operation: 91-4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 48, 96, 10, 95 ]
58
[ "48+10=58", "96-95=1", "58*1=58" ]
Current State: 58:[48, 96, 10, 95], Operations: [] Exploring Operation: 48+10=58, Resulting Numbers: [96, 95, 58] Generated Node #2: [96, 95, 58] from Operation: 48+10=58 Current State: 58:[96, 95, 58], Operations: ['48+10=58'] Exploring Operation: 96-95=1, Resulting Numbers: [58, 1] Generated Node #3: [58, 1] from Operation: 96-95=1 Current State: 58:[58, 1], Operations: ['48+10=58', '96-95=1'] Exploring Operation: 58*1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 6, 3, 34, 44 ]
72
[ "6*34=204", "3*44=132", "204-132=72" ]
Current State: 72:[6, 3, 34, 44], Operations: [] Exploring Operation: 6*34=204, Resulting Numbers: [3, 44, 204] Generated Node #2: [3, 44, 204] from Operation: 6*34=204 Current State: 72:[3, 44, 204], Operations: ['6*34=204'] Exploring Operation: 3*44=132, Resulting Numbers: [204, 132] Generated Node #3: [204, 132] from Operation: 3*44=132 Current State: 72:[204, 132], Operations: ['6*34=204', '3*44=132'] Exploring Operation: 204-132=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 83, 49, 13, 8 ]
39
[ "83-49=34", "13-8=5", "34+5=39" ]
Current State: 39:[83, 49, 13, 8], Operations: [] Exploring Operation: 83-49=34, Resulting Numbers: [13, 8, 34] Generated Node #2: [13, 8, 34] from Operation: 83-49=34 Current State: 39:[13, 8, 34], Operations: ['83-49=34'] Exploring Operation: 13-8=5, Resulting Numbers: [34, 5] Generated Node #3: [34, 5] from Operation: 13-8=5 Current State: 39:[34, 5], Operations: ['83-49=34', '13-8=5'] Exploring Operation: 34+5=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 50, 74, 32, 15 ]
23
[ "74-50=24", "32+15=47", "47-24=23" ]
Current State: 23:[50, 74, 32, 15], Operations: [] Exploring Operation: 74-50=24, Resulting Numbers: [32, 15, 24] Generated Node #2: [32, 15, 24] from Operation: 74-50=24 Current State: 23:[32, 15, 24], Operations: ['74-50=24'] Exploring Operation: 32+15=47, Resulting Numbers: [24, 47] Generated Node #3: [24, 47] from Operation: 32+15=47 Current State: 23:[24, 47], Operations: ['74-50=24', '32+15=47'] Exploring Operation: 47-24=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 40, 95, 95, 90 ]
90
[ "95-95=0", "40*0=0", "90+0=90" ]
Current State: 90:[40, 95, 95, 90], Operations: [] Exploring Operation: 95-95=0, Resulting Numbers: [40, 90, 0] Generated Node #2: [40, 90, 0] from Operation: 95-95=0 Current State: 90:[40, 90, 0], Operations: ['95-95=0'] Exploring Operation: 40*0=0, Resulting Numbers: [90, 0] Generated Node #3: [90, 0] from Operation: 40*0=0 Current State: 90:[90, 0], Operations: ['95-95=0', '40*0=0'] Exploring Operation: 90+0=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 45, 56, 89, 78 ]
66
[ "45+56=101", "89+78=167", "167-101=66" ]
Current State: 66:[45, 56, 89, 78], Operations: [] Exploring Operation: 45+56=101, Resulting Numbers: [89, 78, 101] Generated Node #2: [89, 78, 101] from Operation: 45+56=101 Current State: 66:[89, 78, 101], Operations: ['45+56=101'] Exploring Operation: 89+78=167, Resulting Numbers: [101, 167] Generated Node #3: [101, 167] from Operation: 89+78=167 Current State: 66:[101, 167], Operations: ['45+56=101', '89+78=167'] Exploring Operation: 167-101=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 99, 39, 21, 97 ]
99
[ "99-21=78", "78/39=2", "97+2=99" ]
Current State: 99:[99, 39, 21, 97], Operations: [] Exploring Operation: 99-21=78, Resulting Numbers: [39, 97, 78] Generated Node #2: [39, 97, 78] from Operation: 99-21=78 Current State: 99:[39, 97, 78], Operations: ['99-21=78'] Exploring Operation: 78/39=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 78/39=2 Current State: 99:[97, 2], Operations: ['99-21=78', '78/39=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 48, 65, 67, 51 ]
62
[ "67-51=16", "48/16=3", "65-3=62" ]
Current State: 62:[48, 65, 67, 51], Operations: [] Exploring Operation: 67-51=16, Resulting Numbers: [48, 65, 16] Generated Node #2: [48, 65, 16] from Operation: 67-51=16 Current State: 62:[48, 65, 16], Operations: ['67-51=16'] Exploring Operation: 48/16=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 48/16=3 Current State: 62:[65, 3], Operations: ['67-51=16', '48/16=3'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 99, 12, 96, 17 ]
11
[ "96/12=8", "17-8=9", "99/9=11" ]
Current State: 11:[99, 12, 96, 17], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [99, 17, 8] Generated Node #2: [99, 17, 8] from Operation: 96/12=8 Current State: 11:[99, 17, 8], Operations: ['96/12=8'] Exploring Operation: 17-8=9, Resulting Numbers: [99, 9] Generated Node #3: [99, 9] from Operation: 17-8=9 Current State: 11:[99, 9], Operations: ['96/12=8', '17-8=9'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 35, 75, 11, 12 ]
92
[ "75-35=40", "11*12=132", "132-40=92" ]
Current State: 92:[35, 75, 11, 12], Operations: [] Exploring Operation: 75-35=40, Resulting Numbers: [11, 12, 40] Generated Node #2: [11, 12, 40] from Operation: 75-35=40 Current State: 92:[11, 12, 40], Operations: ['75-35=40'] Exploring Operation: 11*12=132, Resulting Numbers: [40, 132] Generated Node #3: [40, 132] from Operation: 11*12=132 Current State: 92:[40, 132], Operations: ['75-35=40', '11*12=132'] Exploring Operation: 132-40=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 91, 1, 88, 48 ]
51
[ "91*1=91", "88-48=40", "91-40=51" ]
Current State: 51:[91, 1, 88, 48], Operations: [] Exploring Operation: 91*1=91, Resulting Numbers: [88, 48, 91] Generated Node #2: [88, 48, 91] from Operation: 91*1=91 Current State: 51:[88, 48, 91], Operations: ['91*1=91'] Exploring Operation: 88-48=40, Resulting Numbers: [91, 40] Generated Node #3: [91, 40] from Operation: 88-48=40 Current State: 51:[91, 40], Operations: ['91*1=91', '88-48=40'] Exploring Operation: 91-40=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 67, 64, 25, 16 ]
33
[ "64*25=1600", "1600/16=100", "100-67=33" ]
Current State: 33:[67, 64, 25, 16], Operations: [] Exploring Operation: 64*25=1600, Resulting Numbers: [67, 16, 1600] Generated Node #2: [67, 16, 1600] from Operation: 64*25=1600 Current State: 33:[67, 16, 1600], Operations: ['64*25=1600'] Exploring Operation: 1600/16=100, Resulting Numbers: [67, 100] Generated Node #3: [67, 100] from Operation: 1600/16=100 Current State: 33:[67, 100], Operations: ['64*25=1600', '1600/16=100'] Exploring Operation: 100-67=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 31, 96, 28, 61 ]
87
[ "31-28=3", "61*3=183", "183-96=87" ]
Current State: 87:[31, 96, 28, 61], Operations: [] Exploring Operation: 31-28=3, Resulting Numbers: [96, 61, 3] Generated Node #2: [96, 61, 3] from Operation: 31-28=3 Current State: 87:[96, 61, 3], Operations: ['31-28=3'] Exploring Operation: 61*3=183, Resulting Numbers: [96, 183] Generated Node #3: [96, 183] from Operation: 61*3=183 Current State: 87:[96, 183], Operations: ['31-28=3', '61*3=183'] Exploring Operation: 183-96=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 31, 29, 16, 22 ]
66
[ "31+29=60", "22-16=6", "60+6=66" ]
Current State: 66:[31, 29, 16, 22], Operations: [] Exploring Operation: 31+29=60, Resulting Numbers: [16, 22, 60] Generated Node #2: [16, 22, 60] from Operation: 31+29=60 Current State: 66:[16, 22, 60], Operations: ['31+29=60'] Exploring Operation: 22-16=6, Resulting Numbers: [60, 6] Generated Node #3: [60, 6] from Operation: 22-16=6 Current State: 66:[60, 6], Operations: ['31+29=60', '22-16=6'] Exploring Operation: 60+6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 27, 75, 46, 42 ]
44
[ "75-27=48", "46-42=4", "48-4=44" ]
Current State: 44:[27, 75, 46, 42], Operations: [] Exploring Operation: 75-27=48, Resulting Numbers: [46, 42, 48] Generated Node #2: [46, 42, 48] from Operation: 75-27=48 Current State: 44:[46, 42, 48], Operations: ['75-27=48'] Exploring Operation: 46-42=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 46-42=4 Current State: 44:[48, 4], Operations: ['75-27=48', '46-42=4'] Exploring Operation: 48-4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 44, 54, 12, 63 ]
58
[ "12*63=756", "756/54=14", "44+14=58" ]
Current State: 58:[44, 54, 12, 63], Operations: [] Exploring Operation: 12*63=756, Resulting Numbers: [44, 54, 756] Generated Node #2: [44, 54, 756] from Operation: 12*63=756 Current State: 58:[44, 54, 756], Operations: ['12*63=756'] Exploring Operation: 756/54=14, Resulting Numbers: [44, 14] Generated Node #3: [44, 14] from Operation: 756/54=14 Current State: 58:[44, 14], Operations: ['12*63=756', '756/54=14'] Exploring Operation: 44+14=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 23, 58, 8, 22 ]
11
[ "23*8=184", "58+184=242", "242/22=11" ]
Current State: 11:[23, 58, 8, 22], Operations: [] Exploring Operation: 23*8=184, Resulting Numbers: [58, 22, 184] Generated Node #2: [58, 22, 184] from Operation: 23*8=184 Current State: 11:[58, 22, 184], Operations: ['23*8=184'] Exploring Operation: 58+184=242, Resulting Numbers: [22, 242] Generated Node #3: [22, 242] from Operation: 58+184=242 Current State: 11:[22, 242], Operations: ['23*8=184', '58+184=242'] Exploring Operation: 242/22=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 3, 20, 26, 73 ]
13
[ "3*20=60", "73-26=47", "60-47=13" ]
Current State: 13:[3, 20, 26, 73], Operations: [] Exploring Operation: 3*20=60, Resulting Numbers: [26, 73, 60] Generated Node #2: [26, 73, 60] from Operation: 3*20=60 Current State: 13:[26, 73, 60], Operations: ['3*20=60'] Exploring Operation: 73-26=47, Resulting Numbers: [60, 47] Generated Node #3: [60, 47] from Operation: 73-26=47 Current State: 13:[60, 47], Operations: ['3*20=60', '73-26=47'] Exploring Operation: 60-47=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 82, 41, 19, 63 ]
80
[ "82/41=2", "19+63=82", "82-2=80" ]
Current State: 80:[82, 41, 19, 63], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [19, 63, 2] Generated Node #2: [19, 63, 2] from Operation: 82/41=2 Current State: 80:[19, 63, 2], Operations: ['82/41=2'] Exploring Operation: 19+63=82, Resulting Numbers: [2, 82] Generated Node #3: [2, 82] from Operation: 19+63=82 Current State: 80:[2, 82], Operations: ['82/41=2', '19+63=82'] Exploring Operation: 82-2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 32, 67, 95, 77 ]
81
[ "32+67=99", "95-77=18", "99-18=81" ]
Current State: 81:[32, 67, 95, 77], Operations: [] Exploring Operation: 32+67=99, Resulting Numbers: [95, 77, 99] Generated Node #2: [95, 77, 99] from Operation: 32+67=99 Current State: 81:[95, 77, 99], Operations: ['32+67=99'] Exploring Operation: 95-77=18, Resulting Numbers: [99, 18] Generated Node #3: [99, 18] from Operation: 95-77=18 Current State: 81:[99, 18], Operations: ['32+67=99', '95-77=18'] Exploring Operation: 99-18=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 21, 91, 23, 56 ]
63
[ "23-21=2", "56/2=28", "91-28=63" ]
Current State: 63:[21, 91, 23, 56], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [91, 56, 2] Generated Node #2: [91, 56, 2] from Operation: 23-21=2 Current State: 63:[91, 56, 2], Operations: ['23-21=2'] Exploring Operation: 56/2=28, Resulting Numbers: [91, 28] Generated Node #3: [91, 28] from Operation: 56/2=28 Current State: 63:[91, 28], Operations: ['23-21=2', '56/2=28'] Exploring Operation: 91-28=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 5, 4, 63, 21 ]
14
[ "5+4=9", "63/9=7", "21-7=14" ]
Current State: 14:[5, 4, 63, 21], Operations: [] Exploring Operation: 5+4=9, Resulting Numbers: [63, 21, 9] Generated Node #2: [63, 21, 9] from Operation: 5+4=9 Current State: 14:[63, 21, 9], Operations: ['5+4=9'] Exploring Operation: 63/9=7, Resulting Numbers: [21, 7] Generated Node #3: [21, 7] from Operation: 63/9=7 Current State: 14:[21, 7], Operations: ['5+4=9', '63/9=7'] Exploring Operation: 21-7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 12, 78, 66, 33 ]
54
[ "12*66=792", "792/33=24", "78-24=54" ]
Current State: 54:[12, 78, 66, 33], Operations: [] Exploring Operation: 12*66=792, Resulting Numbers: [78, 33, 792] Generated Node #2: [78, 33, 792] from Operation: 12*66=792 Current State: 54:[78, 33, 792], Operations: ['12*66=792'] Exploring Operation: 792/33=24, Resulting Numbers: [78, 24] Generated Node #3: [78, 24] from Operation: 792/33=24 Current State: 54:[78, 24], Operations: ['12*66=792', '792/33=24'] Exploring Operation: 78-24=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 3, 8, 58, 95 ]
87
[ "3*58=174", "95-8=87", "174-87=87" ]
Current State: 87:[3, 8, 58, 95], Operations: [] Exploring Operation: 3*58=174, Resulting Numbers: [8, 95, 174] Generated Node #2: [8, 95, 174] from Operation: 3*58=174 Current State: 87:[8, 95, 174], Operations: ['3*58=174'] Exploring Operation: 95-8=87, Resulting Numbers: [174, 87] Generated Node #3: [174, 87] from Operation: 95-8=87 Current State: 87:[174, 87], Operations: ['3*58=174', '95-8=87'] Exploring Operation: 174-87=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 10, 2, 26, 6 ]
40
[ "10*2=20", "26-6=20", "20+20=40" ]
Current State: 40:[10, 2, 26, 6], Operations: [] Exploring Operation: 10*2=20, Resulting Numbers: [26, 6, 20] Generated Node #2: [26, 6, 20] from Operation: 10*2=20 Current State: 40:[26, 6, 20], Operations: ['10*2=20'] Exploring Operation: 26-6=20, Resulting Numbers: [20, 20] Generated Node #3: [20, 20] from Operation: 26-6=20 Current State: 40:[20, 20], Operations: ['10*2=20', '26-6=20'] Exploring Operation: 20+20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 30, 36, 59, 60 ]
41
[ "30*36=1080", "1080/60=18", "59-18=41" ]
Current State: 41:[30, 36, 59, 60], Operations: [] Exploring Operation: 30*36=1080, Resulting Numbers: [59, 60, 1080] Generated Node #2: [59, 60, 1080] from Operation: 30*36=1080 Current State: 41:[59, 60, 1080], Operations: ['30*36=1080'] Exploring Operation: 1080/60=18, Resulting Numbers: [59, 18] Generated Node #3: [59, 18] from Operation: 1080/60=18 Current State: 41:[59, 18], Operations: ['30*36=1080', '1080/60=18'] Exploring Operation: 59-18=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 17, 12, 37, 34 ]
31
[ "17*12=204", "204/34=6", "37-6=31" ]
Current State: 31:[17, 12, 37, 34], Operations: [] Exploring Operation: 17*12=204, Resulting Numbers: [37, 34, 204] Generated Node #2: [37, 34, 204] from Operation: 17*12=204 Current State: 31:[37, 34, 204], Operations: ['17*12=204'] Exploring Operation: 204/34=6, Resulting Numbers: [37, 6] Generated Node #3: [37, 6] from Operation: 204/34=6 Current State: 31:[37, 6], Operations: ['17*12=204', '204/34=6'] Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 3, 4, 47, 82 ]
21
[ "82-4=78", "78/3=26", "47-26=21" ]
Current State: 21:[3, 4, 47, 82], Operations: [] Exploring Operation: 82-4=78, Resulting Numbers: [3, 47, 78] Generated Node #2: [3, 47, 78] from Operation: 82-4=78 Current State: 21:[3, 47, 78], Operations: ['82-4=78'] Exploring Operation: 78/3=26, Resulting Numbers: [47, 26] Generated Node #3: [47, 26] from Operation: 78/3=26 Current State: 21:[47, 26], Operations: ['82-4=78', '78/3=26'] Exploring Operation: 47-26=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 65, 81, 11, 9 ]
97
[ "11-9=2", "81*2=162", "162-65=97" ]
Current State: 97:[65, 81, 11, 9], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [65, 81, 2] Generated Node #2: [65, 81, 2] from Operation: 11-9=2 Current State: 97:[65, 81, 2], Operations: ['11-9=2'] Exploring Operation: 81*2=162, Resulting Numbers: [65, 162] Generated Node #3: [65, 162] from Operation: 81*2=162 Current State: 97:[65, 162], Operations: ['11-9=2', '81*2=162'] Exploring Operation: 162-65=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 16, 50, 21, 41 ]
26
[ "50*21=1050", "16+1050=1066", "1066/41=26" ]
Current State: 26:[16, 50, 21, 41], Operations: [] Exploring Operation: 50*21=1050, Resulting Numbers: [16, 41, 1050] Generated Node #2: [16, 41, 1050] from Operation: 50*21=1050 Current State: 26:[16, 41, 1050], Operations: ['50*21=1050'] Exploring Operation: 16+1050=1066, Resulting Numbers: [41, 1066] Generated Node #3: [41, 1066] from Operation: 16+1050=1066 Current State: 26:[41, 1066], Operations: ['50*21=1050', '16+1050=1066'] Exploring Operation: 1066/41=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4