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
[ 34, 44, 93, 24 ]
95
[ "44+24=68", "68/34=2", "93+2=95" ]
Current State: 95:[34, 44, 93, 24], Operations: [] Exploring Operation: 44+24=68, Resulting Numbers: [34, 93, 68] Generated Node #2: [34, 93, 68] from Operation: 44+24=68 Current State: 95:[34, 93, 68], Operations: ['44+24=68'] Exploring Operation: 68/34=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 68/34=2 Current State: 95:[93, 2], Operations: ['44+24=68', '68/34=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 83, 80, 27, 82 ]
73
[ "83-80=3", "27/3=9", "82-9=73" ]
Current State: 73:[83, 80, 27, 82], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [27, 82, 3] Generated Node #2: [27, 82, 3] from Operation: 83-80=3 Current State: 73:[27, 82, 3], Operations: ['83-80=3'] Exploring Operation: 27/3=9, Resulting Numbers: [82, 9] Generated Node #3: [82, 9] from Operation: 27/3=9 Current State: 73:[82, 9], Operations: ['83-80=3', '27/3=9'] Exploring Operation: 82-9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 98, 16, 77, 10 ]
47
[ "98+16=114", "77-10=67", "114-67=47" ]
Current State: 47:[98, 16, 77, 10], Operations: [] Exploring Operation: 98+16=114, Resulting Numbers: [77, 10, 114] Generated Node #2: [77, 10, 114] from Operation: 98+16=114 Current State: 47:[77, 10, 114], Operations: ['98+16=114'] Exploring Operation: 77-10=67, Resulting Numbers: [114, 67] Generated Node #3: [114, 67] from Operation: 77-10=67 Current State: 47:[114, 67], Operations: ['98+16=114', '77-10=67'] Exploring Operation: 114-67=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 7, 69, 37, 71 ]
88
[ "7+37=44", "71-69=2", "44*2=88" ]
Current State: 88:[7, 69, 37, 71], Operations: [] Exploring Operation: 7+37=44, Resulting Numbers: [69, 71, 44] Generated Node #2: [69, 71, 44] from Operation: 7+37=44 Current State: 88:[69, 71, 44], Operations: ['7+37=44'] Exploring Operation: 71-69=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 71-69=2 Current State: 88:[44, 2], Operations: ['7+37=44', '71-69=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 61, 68, 28, 22 ]
57
[ "68-61=7", "28+22=50", "7+50=57" ]
Current State: 57:[61, 68, 28, 22], Operations: [] Exploring Operation: 68-61=7, Resulting Numbers: [28, 22, 7] Generated Node #2: [28, 22, 7] from Operation: 68-61=7 Current State: 57:[28, 22, 7], Operations: ['68-61=7'] Exploring Operation: 28+22=50, Resulting Numbers: [7, 50] Generated Node #3: [7, 50] from Operation: 28+22=50 Current State: 57:[7, 50], Operations: ['68-61=7', '28+22=50'] Exploring Operation: 7+50=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 5, 35, 18, 8 ]
63
[ "5*18=90", "35-8=27", "90-27=63" ]
Current State: 63:[5, 35, 18, 8], Operations: [] Exploring Operation: 5*18=90, Resulting Numbers: [35, 8, 90] Generated Node #2: [35, 8, 90] from Operation: 5*18=90 Current State: 63:[35, 8, 90], Operations: ['5*18=90'] Exploring Operation: 35-8=27, Resulting Numbers: [90, 27] Generated Node #3: [90, 27] from Operation: 35-8=27 Current State: 63:[90, 27], Operations: ['5*18=90', '35-8=27'] Exploring Operation: 90-27=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 38, 8, 46, 11 ]
92
[ "38*46=1748", "8+11=19", "1748/19=92" ]
Current State: 92:[38, 8, 46, 11], Operations: [] Exploring Operation: 38*46=1748, Resulting Numbers: [8, 11, 1748] Generated Node #2: [8, 11, 1748] from Operation: 38*46=1748 Current State: 92:[8, 11, 1748], Operations: ['38*46=1748'] Exploring Operation: 8+11=19, Resulting Numbers: [1748, 19] Generated Node #3: [1748, 19] from Operation: 8+11=19 Current State: 92:[1748, 19], Operations: ['38*46=1748', '8+11=19'] Exploring Operation: 1748/19=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 37, 58, 17, 30 ]
48
[ "37+58=95", "17+30=47", "95-47=48" ]
Current State: 48:[37, 58, 17, 30], Operations: [] Exploring Operation: 37+58=95, Resulting Numbers: [17, 30, 95] Generated Node #2: [17, 30, 95] from Operation: 37+58=95 Current State: 48:[17, 30, 95], Operations: ['37+58=95'] Exploring Operation: 17+30=47, Resulting Numbers: [95, 47] Generated Node #3: [95, 47] from Operation: 17+30=47 Current State: 48:[95, 47], Operations: ['37+58=95', '17+30=47'] Exploring Operation: 95-47=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 9, 54, 96, 70 ]
89
[ "9+54=63", "96-70=26", "63+26=89" ]
Current State: 89:[9, 54, 96, 70], Operations: [] Exploring Operation: 9+54=63, Resulting Numbers: [96, 70, 63] Generated Node #2: [96, 70, 63] from Operation: 9+54=63 Current State: 89:[96, 70, 63], Operations: ['9+54=63'] Exploring Operation: 96-70=26, Resulting Numbers: [63, 26] Generated Node #3: [63, 26] from Operation: 96-70=26 Current State: 89:[63, 26], Operations: ['9+54=63', '96-70=26'] Exploring Operation: 63+26=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 56, 65, 14, 67 ]
44
[ "65-56=9", "67-14=53", "53-9=44" ]
Current State: 44:[56, 65, 14, 67], Operations: [] Exploring Operation: 65-56=9, Resulting Numbers: [14, 67, 9] Generated Node #2: [14, 67, 9] from Operation: 65-56=9 Current State: 44:[14, 67, 9], Operations: ['65-56=9'] Exploring Operation: 67-14=53, Resulting Numbers: [9, 53] Generated Node #3: [9, 53] from Operation: 67-14=53 Current State: 44:[9, 53], Operations: ['65-56=9', '67-14=53'] Exploring Operation: 53-9=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 36, 52, 84, 60 ]
26
[ "36+84=120", "52*60=3120", "3120/120=26" ]
Current State: 26:[36, 52, 84, 60], Operations: [] Exploring Operation: 36+84=120, Resulting Numbers: [52, 60, 120] Generated Node #2: [52, 60, 120] from Operation: 36+84=120 Current State: 26:[52, 60, 120], Operations: ['36+84=120'] Exploring Operation: 52*60=3120, Resulting Numbers: [120, 3120] Generated Node #3: [120, 3120] from Operation: 52*60=3120 Current State: 26:[120, 3120], Operations: ['36+84=120', '52*60=3120'] Exploring Operation: 3120/120=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 12, 11, 1, 4 ]
91
[ "12+11=23", "4*23=92", "92-1=91" ]
Current State: 91:[12, 11, 1, 4], Operations: [] Exploring Operation: 12+11=23, Resulting Numbers: [1, 4, 23] Generated Node #2: [1, 4, 23] from Operation: 12+11=23 Current State: 91:[1, 4, 23], Operations: ['12+11=23'] Exploring Operation: 4*23=92, Resulting Numbers: [1, 92] Generated Node #3: [1, 92] from Operation: 4*23=92 Current State: 91:[1, 92], Operations: ['12+11=23', '4*23=92'] Exploring Operation: 92-1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 83, 84, 60, 40 ]
99
[ "84-83=1", "60+40=100", "100-1=99" ]
Current State: 99:[83, 84, 60, 40], Operations: [] Exploring Operation: 84-83=1, Resulting Numbers: [60, 40, 1] Generated Node #2: [60, 40, 1] from Operation: 84-83=1 Current State: 99:[60, 40, 1], Operations: ['84-83=1'] Exploring Operation: 60+40=100, Resulting Numbers: [1, 100] Generated Node #3: [1, 100] from Operation: 60+40=100 Current State: 99:[1, 100], Operations: ['84-83=1', '60+40=100'] Exploring Operation: 100-1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 61, 15, 10, 68 ]
35
[ "68-61=7", "15-10=5", "7*5=35" ]
Current State: 35:[61, 15, 10, 68], Operations: [] Exploring Operation: 68-61=7, Resulting Numbers: [15, 10, 7] Generated Node #2: [15, 10, 7] from Operation: 68-61=7 Current State: 35:[15, 10, 7], Operations: ['68-61=7'] Exploring Operation: 15-10=5, Resulting Numbers: [7, 5] Generated Node #3: [7, 5] from Operation: 15-10=5 Current State: 35:[7, 5], Operations: ['68-61=7', '15-10=5'] Exploring Operation: 7*5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 21, 96, 57, 30 ]
12
[ "96-21=75", "57+30=87", "87-75=12" ]
Current State: 12:[21, 96, 57, 30], Operations: [] Exploring Operation: 96-21=75, Resulting Numbers: [57, 30, 75] Generated Node #2: [57, 30, 75] from Operation: 96-21=75 Current State: 12:[57, 30, 75], Operations: ['96-21=75'] Exploring Operation: 57+30=87, Resulting Numbers: [75, 87] Generated Node #3: [75, 87] from Operation: 57+30=87 Current State: 12:[75, 87], Operations: ['96-21=75', '57+30=87'] Exploring Operation: 87-75=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 9, 93, 39, 78 ]
100
[ "9+93=102", "78/39=2", "102-2=100" ]
Current State: 100:[9, 93, 39, 78], Operations: [] Exploring Operation: 9+93=102, Resulting Numbers: [39, 78, 102] Generated Node #2: [39, 78, 102] from Operation: 9+93=102 Current State: 100:[39, 78, 102], Operations: ['9+93=102'] Exploring Operation: 78/39=2, Resulting Numbers: [102, 2] Generated Node #3: [102, 2] from Operation: 78/39=2 Current State: 100:[102, 2], Operations: ['9+93=102', '78/39=2'] Exploring Operation: 102-2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 74, 45, 19, 25 ]
73
[ "74-45=29", "19+25=44", "29+44=73" ]
Current State: 73:[74, 45, 19, 25], Operations: [] Exploring Operation: 74-45=29, Resulting Numbers: [19, 25, 29] Generated Node #2: [19, 25, 29] from Operation: 74-45=29 Current State: 73:[19, 25, 29], Operations: ['74-45=29'] Exploring Operation: 19+25=44, Resulting Numbers: [29, 44] Generated Node #3: [29, 44] from Operation: 19+25=44 Current State: 73:[29, 44], Operations: ['74-45=29', '19+25=44'] Exploring Operation: 29+44=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 32, 91, 13, 52 ]
63
[ "91-32=59", "52/13=4", "59+4=63" ]
Current State: 63:[32, 91, 13, 52], Operations: [] Exploring Operation: 91-32=59, Resulting Numbers: [13, 52, 59] Generated Node #2: [13, 52, 59] from Operation: 91-32=59 Current State: 63:[13, 52, 59], Operations: ['91-32=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: ['91-32=59', '52/13=4'] Exploring Operation: 59+4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 9, 63, 74, 67 ]
47
[ "63-9=54", "74-67=7", "54-7=47" ]
Current State: 47:[9, 63, 74, 67], Operations: [] Exploring Operation: 63-9=54, Resulting Numbers: [74, 67, 54] Generated Node #2: [74, 67, 54] from Operation: 63-9=54 Current State: 47:[74, 67, 54], Operations: ['63-9=54'] Exploring Operation: 74-67=7, Resulting Numbers: [54, 7] Generated Node #3: [54, 7] from Operation: 74-67=7 Current State: 47:[54, 7], Operations: ['63-9=54', '74-67=7'] Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 99, 61, 70, 8 ]
98
[ "99+61=160", "70-8=62", "160-62=98" ]
Current State: 98:[99, 61, 70, 8], Operations: [] Exploring Operation: 99+61=160, Resulting Numbers: [70, 8, 160] Generated Node #2: [70, 8, 160] from Operation: 99+61=160 Current State: 98:[70, 8, 160], Operations: ['99+61=160'] Exploring Operation: 70-8=62, Resulting Numbers: [160, 62] Generated Node #3: [160, 62] from Operation: 70-8=62 Current State: 98:[160, 62], Operations: ['99+61=160', '70-8=62'] Exploring Operation: 160-62=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 84, 4, 8, 13 ]
80
[ "8*13=104", "104-84=20", "4*20=80" ]
Current State: 80:[84, 4, 8, 13], Operations: [] Exploring Operation: 8*13=104, Resulting Numbers: [84, 4, 104] Generated Node #2: [84, 4, 104] from Operation: 8*13=104 Current State: 80:[84, 4, 104], Operations: ['8*13=104'] Exploring Operation: 104-84=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 104-84=20 Current State: 80:[4, 20], Operations: ['8*13=104', '104-84=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 43, 87, 70, 5 ]
40
[ "43+87=130", "70+130=200", "200/5=40" ]
Current State: 40:[43, 87, 70, 5], Operations: [] Exploring Operation: 43+87=130, Resulting Numbers: [70, 5, 130] Generated Node #2: [70, 5, 130] from Operation: 43+87=130 Current State: 40:[70, 5, 130], Operations: ['43+87=130'] Exploring Operation: 70+130=200, Resulting Numbers: [5, 200] Generated Node #3: [5, 200] from Operation: 70+130=200 Current State: 40:[5, 200], Operations: ['43+87=130', '70+130=200'] Exploring Operation: 200/5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 52, 70, 59, 5 ]
21
[ "59-52=7", "70/5=14", "7+14=21" ]
Current State: 21:[52, 70, 59, 5], Operations: [] Exploring Operation: 59-52=7, Resulting Numbers: [70, 5, 7] Generated Node #2: [70, 5, 7] from Operation: 59-52=7 Current State: 21:[70, 5, 7], Operations: ['59-52=7'] Exploring Operation: 70/5=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 70/5=14 Current State: 21:[7, 14], Operations: ['59-52=7', '70/5=14'] Exploring Operation: 7+14=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 86, 92, 22, 38 ]
51
[ "92*22=2024", "2024-86=1938", "1938/38=51" ]
Current State: 51:[86, 92, 22, 38], Operations: [] Exploring Operation: 92*22=2024, Resulting Numbers: [86, 38, 2024] Generated Node #2: [86, 38, 2024] from Operation: 92*22=2024 Current State: 51:[86, 38, 2024], Operations: ['92*22=2024'] Exploring Operation: 2024-86=1938, Resulting Numbers: [38, 1938] Generated Node #3: [38, 1938] from Operation: 2024-86=1938 Current State: 51:[38, 1938], Operations: ['92*22=2024', '2024-86=1938'] Exploring Operation: 1938/38=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 10, 45, 68, 43 ]
18
[ "10*45=450", "68-43=25", "450/25=18" ]
Current State: 18:[10, 45, 68, 43], Operations: [] Exploring Operation: 10*45=450, Resulting Numbers: [68, 43, 450] Generated Node #2: [68, 43, 450] from Operation: 10*45=450 Current State: 18:[68, 43, 450], Operations: ['10*45=450'] Exploring Operation: 68-43=25, Resulting Numbers: [450, 25] Generated Node #3: [450, 25] from Operation: 68-43=25 Current State: 18:[450, 25], Operations: ['10*45=450', '68-43=25'] Exploring Operation: 450/25=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 22, 82, 8, 13 ]
28
[ "13-8=5", "22*5=110", "110-82=28" ]
Current State: 28:[22, 82, 8, 13], Operations: [] Exploring Operation: 13-8=5, Resulting Numbers: [22, 82, 5] Generated Node #2: [22, 82, 5] from Operation: 13-8=5 Current State: 28:[22, 82, 5], Operations: ['13-8=5'] Exploring Operation: 22*5=110, Resulting Numbers: [82, 110] Generated Node #3: [82, 110] from Operation: 22*5=110 Current State: 28:[82, 110], Operations: ['13-8=5', '22*5=110'] Exploring Operation: 110-82=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 27, 87, 49, 8 ]
73
[ "27+87=114", "49-8=41", "114-41=73" ]
Current State: 73:[27, 87, 49, 8], Operations: [] Exploring Operation: 27+87=114, Resulting Numbers: [49, 8, 114] Generated Node #2: [49, 8, 114] from Operation: 27+87=114 Current State: 73:[49, 8, 114], Operations: ['27+87=114'] Exploring Operation: 49-8=41, Resulting Numbers: [114, 41] Generated Node #3: [114, 41] from Operation: 49-8=41 Current State: 73:[114, 41], Operations: ['27+87=114', '49-8=41'] Exploring Operation: 114-41=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 28, 57, 10, 35 ]
40
[ "28+57=85", "10+35=45", "85-45=40" ]
Current State: 40:[28, 57, 10, 35], Operations: [] Exploring Operation: 28+57=85, Resulting Numbers: [10, 35, 85] Generated Node #2: [10, 35, 85] from Operation: 28+57=85 Current State: 40:[10, 35, 85], Operations: ['28+57=85'] Exploring Operation: 10+35=45, Resulting Numbers: [85, 45] Generated Node #3: [85, 45] from Operation: 10+35=45 Current State: 40:[85, 45], Operations: ['28+57=85', '10+35=45'] Exploring Operation: 85-45=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 52, 29, 4, 7 ]
70
[ "52+29=81", "4+7=11", "81-11=70" ]
Current State: 70:[52, 29, 4, 7], Operations: [] Exploring Operation: 52+29=81, Resulting Numbers: [4, 7, 81] Generated Node #2: [4, 7, 81] from Operation: 52+29=81 Current State: 70:[4, 7, 81], Operations: ['52+29=81'] Exploring Operation: 4+7=11, Resulting Numbers: [81, 11] Generated Node #3: [81, 11] from Operation: 4+7=11 Current State: 70:[81, 11], Operations: ['52+29=81', '4+7=11'] Exploring Operation: 81-11=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 14, 58, 9, 97 ]
61
[ "14*58=812", "9*97=873", "873-812=61" ]
Current State: 61:[14, 58, 9, 97], Operations: [] Exploring Operation: 14*58=812, Resulting Numbers: [9, 97, 812] Generated Node #2: [9, 97, 812] from Operation: 14*58=812 Current State: 61:[9, 97, 812], Operations: ['14*58=812'] Exploring Operation: 9*97=873, Resulting Numbers: [812, 873] Generated Node #3: [812, 873] from Operation: 9*97=873 Current State: 61:[812, 873], Operations: ['14*58=812', '9*97=873'] Exploring Operation: 873-812=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 51, 11, 23, 27 ]
66
[ "51+11=62", "27-23=4", "62+4=66" ]
Current State: 66:[51, 11, 23, 27], Operations: [] Exploring Operation: 51+11=62, Resulting Numbers: [23, 27, 62] Generated Node #2: [23, 27, 62] from Operation: 51+11=62 Current State: 66:[23, 27, 62], Operations: ['51+11=62'] Exploring Operation: 27-23=4, Resulting Numbers: [62, 4] Generated Node #3: [62, 4] from Operation: 27-23=4 Current State: 66:[62, 4], Operations: ['51+11=62', '27-23=4'] Exploring Operation: 62+4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 48, 35, 60, 20 ]
12
[ "35-20=15", "48*15=720", "720/60=12" ]
Current State: 12:[48, 35, 60, 20], Operations: [] Exploring Operation: 35-20=15, Resulting Numbers: [48, 60, 15] Generated Node #2: [48, 60, 15] from Operation: 35-20=15 Current State: 12:[48, 60, 15], Operations: ['35-20=15'] Exploring Operation: 48*15=720, Resulting Numbers: [60, 720] Generated Node #3: [60, 720] from Operation: 48*15=720 Current State: 12:[60, 720], Operations: ['35-20=15', '48*15=720'] Exploring Operation: 720/60=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 14, 30, 23, 69 ]
13
[ "30-14=16", "69/23=3", "16-3=13" ]
Current State: 13:[14, 30, 23, 69], Operations: [] Exploring Operation: 30-14=16, Resulting Numbers: [23, 69, 16] Generated Node #2: [23, 69, 16] from Operation: 30-14=16 Current State: 13:[23, 69, 16], Operations: ['30-14=16'] Exploring Operation: 69/23=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 69/23=3 Current State: 13:[16, 3], Operations: ['30-14=16', '69/23=3'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 44, 80, 1, 49 ]
84
[ "80-44=36", "49-1=48", "36+48=84" ]
Current State: 84:[44, 80, 1, 49], Operations: [] Exploring Operation: 80-44=36, Resulting Numbers: [1, 49, 36] Generated Node #2: [1, 49, 36] from Operation: 80-44=36 Current State: 84:[1, 49, 36], Operations: ['80-44=36'] Exploring Operation: 49-1=48, Resulting Numbers: [36, 48] Generated Node #3: [36, 48] from Operation: 49-1=48 Current State: 84:[36, 48], Operations: ['80-44=36', '49-1=48'] Exploring Operation: 36+48=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 49, 80, 10, 29 ]
28
[ "49-29=20", "80/10=8", "20+8=28" ]
Current State: 28:[49, 80, 10, 29], Operations: [] Exploring Operation: 49-29=20, Resulting Numbers: [80, 10, 20] Generated Node #2: [80, 10, 20] from Operation: 49-29=20 Current State: 28:[80, 10, 20], Operations: ['49-29=20'] Exploring Operation: 80/10=8, Resulting Numbers: [20, 8] Generated Node #3: [20, 8] from Operation: 80/10=8 Current State: 28:[20, 8], Operations: ['49-29=20', '80/10=8'] Exploring Operation: 20+8=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 73, 88, 3, 35 ]
52
[ "73+35=108", "108/3=36", "88-36=52" ]
Current State: 52:[73, 88, 3, 35], Operations: [] Exploring Operation: 73+35=108, Resulting Numbers: [88, 3, 108] Generated Node #2: [88, 3, 108] from Operation: 73+35=108 Current State: 52:[88, 3, 108], Operations: ['73+35=108'] Exploring Operation: 108/3=36, Resulting Numbers: [88, 36] Generated Node #3: [88, 36] from Operation: 108/3=36 Current State: 52:[88, 36], Operations: ['73+35=108', '108/3=36'] Exploring Operation: 88-36=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 32, 5, 4, 8 ]
41
[ "32+5=37", "8-4=4", "37+4=41" ]
Current State: 41:[32, 5, 4, 8], Operations: [] Exploring Operation: 32+5=37, Resulting Numbers: [4, 8, 37] Generated Node #2: [4, 8, 37] from Operation: 32+5=37 Current State: 41:[4, 8, 37], Operations: ['32+5=37'] Exploring Operation: 8-4=4, Resulting Numbers: [37, 4] Generated Node #3: [37, 4] from Operation: 8-4=4 Current State: 41:[37, 4], Operations: ['32+5=37', '8-4=4'] Exploring Operation: 37+4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 3, 21, 82, 10 ]
96
[ "3+21=24", "82-10=72", "24+72=96" ]
Current State: 96:[3, 21, 82, 10], Operations: [] Exploring Operation: 3+21=24, Resulting Numbers: [82, 10, 24] Generated Node #2: [82, 10, 24] from Operation: 3+21=24 Current State: 96:[82, 10, 24], Operations: ['3+21=24'] Exploring Operation: 82-10=72, Resulting Numbers: [24, 72] Generated Node #3: [24, 72] from Operation: 82-10=72 Current State: 96:[24, 72], Operations: ['3+21=24', '82-10=72'] Exploring Operation: 24+72=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 65, 44, 75, 15 ]
66
[ "75-65=10", "44*15=660", "660/10=66" ]
Current State: 66:[65, 44, 75, 15], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [44, 15, 10] Generated Node #2: [44, 15, 10] from Operation: 75-65=10 Current State: 66:[44, 15, 10], Operations: ['75-65=10'] Exploring Operation: 44*15=660, Resulting Numbers: [10, 660] Generated Node #3: [10, 660] from Operation: 44*15=660 Current State: 66:[10, 660], Operations: ['75-65=10', '44*15=660'] Exploring Operation: 660/10=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 39, 80, 32, 96 ]
67
[ "39*32=1248", "1248/96=13", "80-13=67" ]
Current State: 67:[39, 80, 32, 96], Operations: [] Exploring Operation: 39*32=1248, Resulting Numbers: [80, 96, 1248] Generated Node #2: [80, 96, 1248] from Operation: 39*32=1248 Current State: 67:[80, 96, 1248], Operations: ['39*32=1248'] Exploring Operation: 1248/96=13, Resulting Numbers: [80, 13] Generated Node #3: [80, 13] from Operation: 1248/96=13 Current State: 67:[80, 13], Operations: ['39*32=1248', '1248/96=13'] Exploring Operation: 80-13=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 23, 2, 2, 73 ]
50
[ "23+2=25", "2+73=75", "75-25=50" ]
Current State: 50:[23, 2, 2, 73], Operations: [] Exploring Operation: 23+2=25, Resulting Numbers: [73, 25] Generated Node #2: [73, 25] from Operation: 23+2=25 Current State: 50:[73, 25], Operations: ['23+2=25'] Exploring Operation: 2+73=75, Resulting Numbers: [25, 75] Generated Node #3: [25, 75] from Operation: 2+73=75 Current State: 50:[25, 75], Operations: ['23+2=25', '2+73=75'] Exploring Operation: 75-25=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 3, 67, 95, 51 ]
33
[ "95-67=28", "3*28=84", "84-51=33" ]
Current State: 33:[3, 67, 95, 51], Operations: [] Exploring Operation: 95-67=28, Resulting Numbers: [3, 51, 28] Generated Node #2: [3, 51, 28] from Operation: 95-67=28 Current State: 33:[3, 51, 28], Operations: ['95-67=28'] Exploring Operation: 3*28=84, Resulting Numbers: [51, 84] Generated Node #3: [51, 84] from Operation: 3*28=84 Current State: 33:[51, 84], Operations: ['95-67=28', '3*28=84'] Exploring Operation: 84-51=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 9, 30, 55, 11 ]
80
[ "11-9=2", "55*2=110", "110-30=80" ]
Current State: 80:[9, 30, 55, 11], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [30, 55, 2] Generated Node #2: [30, 55, 2] from Operation: 11-9=2 Current State: 80:[30, 55, 2], Operations: ['11-9=2'] Exploring Operation: 55*2=110, Resulting Numbers: [30, 110] Generated Node #3: [30, 110] from Operation: 55*2=110 Current State: 80:[30, 110], Operations: ['11-9=2', '55*2=110'] Exploring Operation: 110-30=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 43, 7, 74, 99 ]
66
[ "99-43=56", "56/7=8", "74-8=66" ]
Current State: 66:[43, 7, 74, 99], Operations: [] Exploring Operation: 99-43=56, Resulting Numbers: [7, 74, 56] Generated Node #2: [7, 74, 56] from Operation: 99-43=56 Current State: 66:[7, 74, 56], Operations: ['99-43=56'] Exploring Operation: 56/7=8, Resulting Numbers: [74, 8] Generated Node #3: [74, 8] from Operation: 56/7=8 Current State: 66:[74, 8], Operations: ['99-43=56', '56/7=8'] Exploring Operation: 74-8=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 63, 2, 22, 11 ]
50
[ "63-2=61", "22-11=11", "61-11=50" ]
Current State: 50:[63, 2, 22, 11], Operations: [] Exploring Operation: 63-2=61, Resulting Numbers: [22, 11, 61] Generated Node #2: [22, 11, 61] from Operation: 63-2=61 Current State: 50:[22, 11, 61], Operations: ['63-2=61'] Exploring Operation: 22-11=11, Resulting Numbers: [61, 11] Generated Node #3: [61, 11] from Operation: 22-11=11 Current State: 50:[61, 11], Operations: ['63-2=61', '22-11=11'] Exploring Operation: 61-11=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 22, 3, 2, 99 ]
66
[ "22*3=66", "66/2=33", "99-33=66" ]
Current State: 66:[22, 3, 2, 99], Operations: [] Exploring Operation: 22*3=66, Resulting Numbers: [2, 99, 66] Generated Node #2: [2, 99, 66] from Operation: 22*3=66 Current State: 66:[2, 99, 66], Operations: ['22*3=66'] Exploring Operation: 66/2=33, Resulting Numbers: [99, 33] Generated Node #3: [99, 33] from Operation: 66/2=33 Current State: 66:[99, 33], Operations: ['22*3=66', '66/2=33'] Exploring Operation: 99-33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 24, 3, 67, 64 ]
18
[ "24-3=21", "67-64=3", "21-3=18" ]
Current State: 18:[24, 3, 67, 64], Operations: [] Exploring Operation: 24-3=21, Resulting Numbers: [67, 64, 21] Generated Node #2: [67, 64, 21] from Operation: 24-3=21 Current State: 18:[67, 64, 21], Operations: ['24-3=21'] Exploring Operation: 67-64=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 67-64=3 Current State: 18:[21, 3], Operations: ['24-3=21', '67-64=3'] Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 81, 47, 31, 73 ]
70
[ "81-47=34", "31+73=104", "104-34=70" ]
Current State: 70:[81, 47, 31, 73], Operations: [] Exploring Operation: 81-47=34, Resulting Numbers: [31, 73, 34] Generated Node #2: [31, 73, 34] from Operation: 81-47=34 Current State: 70:[31, 73, 34], Operations: ['81-47=34'] Exploring Operation: 31+73=104, Resulting Numbers: [34, 104] Generated Node #3: [34, 104] from Operation: 31+73=104 Current State: 70:[34, 104], Operations: ['81-47=34', '31+73=104'] Exploring Operation: 104-34=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 12, 66, 10, 14 ]
47
[ "12-10=2", "66/2=33", "14+33=47" ]
Current State: 47:[12, 66, 10, 14], Operations: [] Exploring Operation: 12-10=2, Resulting Numbers: [66, 14, 2] Generated Node #2: [66, 14, 2] from Operation: 12-10=2 Current State: 47:[66, 14, 2], Operations: ['12-10=2'] Exploring Operation: 66/2=33, Resulting Numbers: [14, 33] Generated Node #3: [14, 33] from Operation: 66/2=33 Current State: 47:[14, 33], Operations: ['12-10=2', '66/2=33'] Exploring Operation: 14+33=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 30, 71, 18, 91 ]
15
[ "71+18=89", "91-89=2", "30/2=15" ]
Current State: 15:[30, 71, 18, 91], Operations: [] Exploring Operation: 71+18=89, Resulting Numbers: [30, 91, 89] Generated Node #2: [30, 91, 89] from Operation: 71+18=89 Current State: 15:[30, 91, 89], Operations: ['71+18=89'] Exploring Operation: 91-89=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 91-89=2 Current State: 15:[30, 2], Operations: ['71+18=89', '91-89=2'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 27, 95, 19, 2 ]
20
[ "27-2=25", "95/19=5", "25-5=20" ]
Current State: 20:[27, 95, 19, 2], Operations: [] Exploring Operation: 27-2=25, Resulting Numbers: [95, 19, 25] Generated Node #2: [95, 19, 25] from Operation: 27-2=25 Current State: 20:[95, 19, 25], Operations: ['27-2=25'] Exploring Operation: 95/19=5, Resulting Numbers: [25, 5] Generated Node #3: [25, 5] from Operation: 95/19=5 Current State: 20:[25, 5], Operations: ['27-2=25', '95/19=5'] Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 68, 2, 40, 74 ]
10
[ "68+2=70", "74-70=4", "40/4=10" ]
Current State: 10:[68, 2, 40, 74], Operations: [] Exploring Operation: 68+2=70, Resulting Numbers: [40, 74, 70] Generated Node #2: [40, 74, 70] from Operation: 68+2=70 Current State: 10:[40, 74, 70], Operations: ['68+2=70'] Exploring Operation: 74-70=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 74-70=4 Current State: 10:[40, 4], Operations: ['68+2=70', '74-70=4'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 98, 93, 37, 84 ]
42
[ "98-93=5", "84-37=47", "47-5=42" ]
Current State: 42:[98, 93, 37, 84], Operations: [] Exploring Operation: 98-93=5, Resulting Numbers: [37, 84, 5] Generated Node #2: [37, 84, 5] from Operation: 98-93=5 Current State: 42:[37, 84, 5], Operations: ['98-93=5'] Exploring Operation: 84-37=47, Resulting Numbers: [5, 47] Generated Node #3: [5, 47] from Operation: 84-37=47 Current State: 42:[5, 47], Operations: ['98-93=5', '84-37=47'] Exploring Operation: 47-5=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 62, 83, 40, 85 ]
24
[ "83-62=21", "85-40=45", "45-21=24" ]
Current State: 24:[62, 83, 40, 85], Operations: [] Exploring Operation: 83-62=21, Resulting Numbers: [40, 85, 21] Generated Node #2: [40, 85, 21] from Operation: 83-62=21 Current State: 24:[40, 85, 21], Operations: ['83-62=21'] Exploring Operation: 85-40=45, Resulting Numbers: [21, 45] Generated Node #3: [21, 45] from Operation: 85-40=45 Current State: 24:[21, 45], Operations: ['83-62=21', '85-40=45'] Exploring Operation: 45-21=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 32, 14, 98, 45 ]
71
[ "32-14=18", "98-45=53", "18+53=71" ]
Current State: 71:[32, 14, 98, 45], Operations: [] Exploring Operation: 32-14=18, Resulting Numbers: [98, 45, 18] Generated Node #2: [98, 45, 18] from Operation: 32-14=18 Current State: 71:[98, 45, 18], Operations: ['32-14=18'] Exploring Operation: 98-45=53, Resulting Numbers: [18, 53] Generated Node #3: [18, 53] from Operation: 98-45=53 Current State: 71:[18, 53], Operations: ['32-14=18', '98-45=53'] Exploring Operation: 18+53=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 49, 1, 41, 5 ]
95
[ "49*1=49", "41+5=46", "49+46=95" ]
Current State: 95:[49, 1, 41, 5], Operations: [] Exploring Operation: 49*1=49, Resulting Numbers: [41, 5, 49] Generated Node #2: [41, 5, 49] from Operation: 49*1=49 Current State: 95:[41, 5, 49], Operations: ['49*1=49'] Exploring Operation: 41+5=46, Resulting Numbers: [49, 46] Generated Node #3: [49, 46] from Operation: 41+5=46 Current State: 95:[49, 46], Operations: ['49*1=49', '41+5=46'] Exploring Operation: 49+46=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 14, 84, 2, 86 ]
74
[ "14+84=98", "2*86=172", "172-98=74" ]
Current State: 74:[14, 84, 2, 86], Operations: [] Exploring Operation: 14+84=98, Resulting Numbers: [2, 86, 98] Generated Node #2: [2, 86, 98] from Operation: 14+84=98 Current State: 74:[2, 86, 98], Operations: ['14+84=98'] Exploring Operation: 2*86=172, Resulting Numbers: [98, 172] Generated Node #3: [98, 172] from Operation: 2*86=172 Current State: 74:[98, 172], Operations: ['14+84=98', '2*86=172'] Exploring Operation: 172-98=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 35, 70, 2, 7 ]
13
[ "35+70=105", "105/7=15", "15-2=13" ]
Current State: 13:[35, 70, 2, 7], Operations: [] Exploring Operation: 35+70=105, Resulting Numbers: [2, 7, 105] Generated Node #2: [2, 7, 105] from Operation: 35+70=105 Current State: 13:[2, 7, 105], Operations: ['35+70=105'] Exploring Operation: 105/7=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 105/7=15 Current State: 13:[2, 15], Operations: ['35+70=105', '105/7=15'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 90, 71, 8, 61 ]
11
[ "90*8=720", "61+720=781", "781/71=11" ]
Current State: 11:[90, 71, 8, 61], Operations: [] Exploring Operation: 90*8=720, Resulting Numbers: [71, 61, 720] Generated Node #2: [71, 61, 720] from Operation: 90*8=720 Current State: 11:[71, 61, 720], Operations: ['90*8=720'] Exploring Operation: 61+720=781, Resulting Numbers: [71, 781] Generated Node #3: [71, 781] from Operation: 61+720=781 Current State: 11:[71, 781], Operations: ['90*8=720', '61+720=781'] Exploring Operation: 781/71=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 5, 10, 45, 48 ]
44
[ "45-5=40", "40/10=4", "48-4=44" ]
Current State: 44:[5, 10, 45, 48], Operations: [] Exploring Operation: 45-5=40, Resulting Numbers: [10, 48, 40] Generated Node #2: [10, 48, 40] from Operation: 45-5=40 Current State: 44:[10, 48, 40], Operations: ['45-5=40'] Exploring Operation: 40/10=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 40/10=4 Current State: 44:[48, 4], Operations: ['45-5=40', '40/10=4'] Exploring Operation: 48-4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 76, 75, 79, 48 ]
32
[ "76-75=1", "79-48=31", "1+31=32" ]
Current State: 32:[76, 75, 79, 48], Operations: [] Exploring Operation: 76-75=1, Resulting Numbers: [79, 48, 1] Generated Node #2: [79, 48, 1] from Operation: 76-75=1 Current State: 32:[79, 48, 1], Operations: ['76-75=1'] Exploring Operation: 79-48=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 79-48=31 Current State: 32:[1, 31], Operations: ['76-75=1', '79-48=31'] Exploring Operation: 1+31=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 68, 39, 86, 58 ]
57
[ "68-39=29", "86-58=28", "29+28=57" ]
Current State: 57:[68, 39, 86, 58], Operations: [] Exploring Operation: 68-39=29, Resulting Numbers: [86, 58, 29] Generated Node #2: [86, 58, 29] from Operation: 68-39=29 Current State: 57:[86, 58, 29], Operations: ['68-39=29'] Exploring Operation: 86-58=28, Resulting Numbers: [29, 28] Generated Node #3: [29, 28] from Operation: 86-58=28 Current State: 57:[29, 28], Operations: ['68-39=29', '86-58=28'] Exploring Operation: 29+28=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 81, 63, 61, 96 ]
17
[ "81-63=18", "96-61=35", "35-18=17" ]
Current State: 17:[81, 63, 61, 96], Operations: [] Exploring Operation: 81-63=18, Resulting Numbers: [61, 96, 18] Generated Node #2: [61, 96, 18] from Operation: 81-63=18 Current State: 17:[61, 96, 18], Operations: ['81-63=18'] Exploring Operation: 96-61=35, Resulting Numbers: [18, 35] Generated Node #3: [18, 35] from Operation: 96-61=35 Current State: 17:[18, 35], Operations: ['81-63=18', '96-61=35'] Exploring Operation: 35-18=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 95, 5, 6, 75 ]
31
[ "95+5=100", "75-6=69", "100-69=31" ]
Current State: 31:[95, 5, 6, 75], Operations: [] Exploring Operation: 95+5=100, Resulting Numbers: [6, 75, 100] Generated Node #2: [6, 75, 100] from Operation: 95+5=100 Current State: 31:[6, 75, 100], Operations: ['95+5=100'] Exploring Operation: 75-6=69, Resulting Numbers: [100, 69] Generated Node #3: [100, 69] from Operation: 75-6=69 Current State: 31:[100, 69], Operations: ['95+5=100', '75-6=69'] Exploring Operation: 100-69=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 54, 48, 31, 29 ]
54
[ "54-48=6", "31+29=60", "60-6=54" ]
Current State: 54:[54, 48, 31, 29], Operations: [] Exploring Operation: 54-48=6, Resulting Numbers: [31, 29, 6] Generated Node #2: [31, 29, 6] from Operation: 54-48=6 Current State: 54:[31, 29, 6], Operations: ['54-48=6'] Exploring Operation: 31+29=60, Resulting Numbers: [6, 60] Generated Node #3: [6, 60] from Operation: 31+29=60 Current State: 54:[6, 60], Operations: ['54-48=6', '31+29=60'] Exploring Operation: 60-6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 38, 29, 8, 93 ]
76
[ "38-29=9", "93-8=85", "85-9=76" ]
Current State: 76:[38, 29, 8, 93], Operations: [] Exploring Operation: 38-29=9, Resulting Numbers: [8, 93, 9] Generated Node #2: [8, 93, 9] from Operation: 38-29=9 Current State: 76:[8, 93, 9], Operations: ['38-29=9'] Exploring Operation: 93-8=85, Resulting Numbers: [9, 85] Generated Node #3: [9, 85] from Operation: 93-8=85 Current State: 76:[9, 85], Operations: ['38-29=9', '93-8=85'] Exploring Operation: 85-9=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 86, 50, 26, 96 ]
57
[ "86+96=182", "182/26=7", "50+7=57" ]
Current State: 57:[86, 50, 26, 96], Operations: [] Exploring Operation: 86+96=182, Resulting Numbers: [50, 26, 182] Generated Node #2: [50, 26, 182] from Operation: 86+96=182 Current State: 57:[50, 26, 182], Operations: ['86+96=182'] Exploring Operation: 182/26=7, Resulting Numbers: [50, 7] Generated Node #3: [50, 7] from Operation: 182/26=7 Current State: 57:[50, 7], Operations: ['86+96=182', '182/26=7'] Exploring Operation: 50+7=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 85, 2, 79, 53 ]
63
[ "85-53=32", "32/2=16", "79-16=63" ]
Current State: 63:[85, 2, 79, 53], Operations: [] Exploring Operation: 85-53=32, Resulting Numbers: [2, 79, 32] Generated Node #2: [2, 79, 32] from Operation: 85-53=32 Current State: 63:[2, 79, 32], Operations: ['85-53=32'] Exploring Operation: 32/2=16, Resulting Numbers: [79, 16] Generated Node #3: [79, 16] from Operation: 32/2=16 Current State: 63:[79, 16], Operations: ['85-53=32', '32/2=16'] Exploring Operation: 79-16=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 62, 32, 32, 37 ]
24
[ "62-37=25", "32/32=1", "25-1=24" ]
Current State: 24:[62, 32, 32, 37], Operations: [] Exploring Operation: 62-37=25, Resulting Numbers: [32, 32, 25] Generated Node #2: [32, 32, 25] from Operation: 62-37=25 Current State: 24:[32, 32, 25], Operations: ['62-37=25'] Exploring Operation: 32/32=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 32/32=1 Current State: 24:[25, 1], Operations: ['62-37=25', '32/32=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 49, 72, 53, 51 ]
25
[ "72-49=23", "53-51=2", "23+2=25" ]
Current State: 25:[49, 72, 53, 51], Operations: [] Exploring Operation: 72-49=23, Resulting Numbers: [53, 51, 23] Generated Node #2: [53, 51, 23] from Operation: 72-49=23 Current State: 25:[53, 51, 23], Operations: ['72-49=23'] Exploring Operation: 53-51=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 53-51=2 Current State: 25:[23, 2], Operations: ['72-49=23', '53-51=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 64, 6, 98, 6 ]
98
[ "6-6=0", "64*0=0", "98+0=98" ]
Current State: 98:[64, 6, 98, 6], Operations: [] Exploring Operation: 6-6=0, Resulting Numbers: [64, 98, 0] Generated Node #2: [64, 98, 0] from Operation: 6-6=0 Current State: 98:[64, 98, 0], Operations: ['6-6=0'] Exploring Operation: 64*0=0, Resulting Numbers: [98, 0] Generated Node #3: [98, 0] from Operation: 64*0=0 Current State: 98:[98, 0], Operations: ['6-6=0', '64*0=0'] Exploring Operation: 98+0=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 22, 56, 4, 66 ]
20
[ "66/22=3", "56+4=60", "60/3=20" ]
Current State: 20:[22, 56, 4, 66], Operations: [] Exploring Operation: 66/22=3, Resulting Numbers: [56, 4, 3] Generated Node #2: [56, 4, 3] from Operation: 66/22=3 Current State: 20:[56, 4, 3], Operations: ['66/22=3'] Exploring Operation: 56+4=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 56+4=60 Current State: 20:[3, 60], Operations: ['66/22=3', '56+4=60'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 90, 16, 91, 55 ]
39
[ "91-90=1", "55-16=39", "1*39=39" ]
Current State: 39:[90, 16, 91, 55], Operations: [] Exploring Operation: 91-90=1, Resulting Numbers: [16, 55, 1] Generated Node #2: [16, 55, 1] from Operation: 91-90=1 Current State: 39:[16, 55, 1], Operations: ['91-90=1'] Exploring Operation: 55-16=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 55-16=39 Current State: 39:[1, 39], Operations: ['91-90=1', '55-16=39'] Exploring Operation: 1*39=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 38, 72, 5, 52 ]
66
[ "38*5=190", "72+52=124", "190-124=66" ]
Current State: 66:[38, 72, 5, 52], Operations: [] Exploring Operation: 38*5=190, Resulting Numbers: [72, 52, 190] Generated Node #2: [72, 52, 190] from Operation: 38*5=190 Current State: 66:[72, 52, 190], Operations: ['38*5=190'] Exploring Operation: 72+52=124, Resulting Numbers: [190, 124] Generated Node #3: [190, 124] from Operation: 72+52=124 Current State: 66:[190, 124], Operations: ['38*5=190', '72+52=124'] Exploring Operation: 190-124=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 20, 37, 80, 60 ]
93
[ "80/20=4", "37+60=97", "97-4=93" ]
Current State: 93:[20, 37, 80, 60], Operations: [] Exploring Operation: 80/20=4, Resulting Numbers: [37, 60, 4] Generated Node #2: [37, 60, 4] from Operation: 80/20=4 Current State: 93:[37, 60, 4], Operations: ['80/20=4'] Exploring Operation: 37+60=97, Resulting Numbers: [4, 97] Generated Node #3: [4, 97] from Operation: 37+60=97 Current State: 93:[4, 97], Operations: ['80/20=4', '37+60=97'] Exploring Operation: 97-4=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 17, 13, 58, 55 ]
83
[ "17+13=30", "58+55=113", "113-30=83" ]
Current State: 83:[17, 13, 58, 55], Operations: [] Exploring Operation: 17+13=30, Resulting Numbers: [58, 55, 30] Generated Node #2: [58, 55, 30] from Operation: 17+13=30 Current State: 83:[58, 55, 30], Operations: ['17+13=30'] Exploring Operation: 58+55=113, Resulting Numbers: [30, 113] Generated Node #3: [30, 113] from Operation: 58+55=113 Current State: 83:[30, 113], Operations: ['17+13=30', '58+55=113'] Exploring Operation: 113-30=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 45, 20, 50, 41 ]
25
[ "50-41=9", "45/9=5", "20+5=25" ]
Current State: 25:[45, 20, 50, 41], Operations: [] Exploring Operation: 50-41=9, Resulting Numbers: [45, 20, 9] Generated Node #2: [45, 20, 9] from Operation: 50-41=9 Current State: 25:[45, 20, 9], Operations: ['50-41=9'] Exploring Operation: 45/9=5, Resulting Numbers: [20, 5] Generated Node #3: [20, 5] from Operation: 45/9=5 Current State: 25:[20, 5], Operations: ['50-41=9', '45/9=5'] Exploring Operation: 20+5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 26, 84, 88, 49 ]
79
[ "84-26=58", "88+49=137", "137-58=79" ]
Current State: 79:[26, 84, 88, 49], Operations: [] Exploring Operation: 84-26=58, Resulting Numbers: [88, 49, 58] Generated Node #2: [88, 49, 58] from Operation: 84-26=58 Current State: 79:[88, 49, 58], Operations: ['84-26=58'] Exploring Operation: 88+49=137, Resulting Numbers: [58, 137] Generated Node #3: [58, 137] from Operation: 88+49=137 Current State: 79:[58, 137], Operations: ['84-26=58', '88+49=137'] Exploring Operation: 137-58=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 68, 34, 72, 68 ]
34
[ "68-68=0", "72*0=0", "34+0=34" ]
Current State: 34:[68, 34, 72, 68], Operations: [] Exploring Operation: 68-68=0, Resulting Numbers: [34, 72, 0] Generated Node #2: [34, 72, 0] from Operation: 68-68=0 Current State: 34:[34, 72, 0], Operations: ['68-68=0'] Exploring Operation: 72*0=0, Resulting Numbers: [34, 0] Generated Node #3: [34, 0] from Operation: 72*0=0 Current State: 34:[34, 0], Operations: ['68-68=0', '72*0=0'] Exploring Operation: 34+0=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 7, 98, 61, 24 ]
99
[ "98/7=14", "61+24=85", "14+85=99" ]
Current State: 99:[7, 98, 61, 24], Operations: [] Exploring Operation: 98/7=14, Resulting Numbers: [61, 24, 14] Generated Node #2: [61, 24, 14] from Operation: 98/7=14 Current State: 99:[61, 24, 14], Operations: ['98/7=14'] Exploring Operation: 61+24=85, Resulting Numbers: [14, 85] Generated Node #3: [14, 85] from Operation: 61+24=85 Current State: 99:[14, 85], Operations: ['98/7=14', '61+24=85'] Exploring Operation: 14+85=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 79, 40, 20, 29 ]
16
[ "79-29=50", "40*20=800", "800/50=16" ]
Current State: 16:[79, 40, 20, 29], Operations: [] Exploring Operation: 79-29=50, Resulting Numbers: [40, 20, 50] Generated Node #2: [40, 20, 50] from Operation: 79-29=50 Current State: 16:[40, 20, 50], Operations: ['79-29=50'] Exploring Operation: 40*20=800, Resulting Numbers: [50, 800] Generated Node #3: [50, 800] from Operation: 40*20=800 Current State: 16:[50, 800], Operations: ['79-29=50', '40*20=800'] Exploring Operation: 800/50=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 20, 83, 6, 40 ]
37
[ "40-20=20", "6*20=120", "120-83=37" ]
Current State: 37:[20, 83, 6, 40], Operations: [] Exploring Operation: 40-20=20, Resulting Numbers: [83, 6, 20] Generated Node #2: [83, 6, 20] from Operation: 40-20=20 Current State: 37:[83, 6, 20], Operations: ['40-20=20'] Exploring Operation: 6*20=120, Resulting Numbers: [83, 120] Generated Node #3: [83, 120] from Operation: 6*20=120 Current State: 37:[83, 120], Operations: ['40-20=20', '6*20=120'] Exploring Operation: 120-83=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 76, 78, 74, 46 ]
18
[ "78-76=2", "46*2=92", "92-74=18" ]
Current State: 18:[76, 78, 74, 46], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [74, 46, 2] Generated Node #2: [74, 46, 2] from Operation: 78-76=2 Current State: 18:[74, 46, 2], Operations: ['78-76=2'] Exploring Operation: 46*2=92, Resulting Numbers: [74, 92] Generated Node #3: [74, 92] from Operation: 46*2=92 Current State: 18:[74, 92], Operations: ['78-76=2', '46*2=92'] Exploring Operation: 92-74=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 59, 78, 83, 63 ]
17
[ "59*83=4897", "78*63=4914", "4914-4897=17" ]
Current State: 17:[59, 78, 83, 63], Operations: [] Exploring Operation: 59*83=4897, Resulting Numbers: [78, 63, 4897] Generated Node #2: [78, 63, 4897] from Operation: 59*83=4897 Current State: 17:[78, 63, 4897], Operations: ['59*83=4897'] Exploring Operation: 78*63=4914, Resulting Numbers: [4897, 4914] Generated Node #3: [4897, 4914] from Operation: 78*63=4914 Current State: 17:[4897, 4914], Operations: ['59*83=4897', '78*63=4914'] Exploring Operation: 4914-4897=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 15, 33, 35, 38 ]
15
[ "33-15=18", "38-35=3", "18-3=15" ]
Current State: 15:[15, 33, 35, 38], Operations: [] Exploring Operation: 33-15=18, Resulting Numbers: [35, 38, 18] Generated Node #2: [35, 38, 18] from Operation: 33-15=18 Current State: 15:[35, 38, 18], Operations: ['33-15=18'] Exploring Operation: 38-35=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 38-35=3 Current State: 15:[18, 3], Operations: ['33-15=18', '38-35=3'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 23, 6, 88, 62 ]
18
[ "88-23=65", "65-62=3", "6*3=18" ]
Current State: 18:[23, 6, 88, 62], Operations: [] Exploring Operation: 88-23=65, Resulting Numbers: [6, 62, 65] Generated Node #2: [6, 62, 65] from Operation: 88-23=65 Current State: 18:[6, 62, 65], Operations: ['88-23=65'] Exploring Operation: 65-62=3, Resulting Numbers: [6, 3] Generated Node #3: [6, 3] from Operation: 65-62=3 Current State: 18:[6, 3], Operations: ['88-23=65', '65-62=3'] Exploring Operation: 6*3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 9, 92, 27, 89 ]
15
[ "9+92=101", "27+89=116", "116-101=15" ]
Current State: 15:[9, 92, 27, 89], Operations: [] Exploring Operation: 9+92=101, Resulting Numbers: [27, 89, 101] Generated Node #2: [27, 89, 101] from Operation: 9+92=101 Current State: 15:[27, 89, 101], Operations: ['9+92=101'] Exploring Operation: 27+89=116, Resulting Numbers: [101, 116] Generated Node #3: [101, 116] from Operation: 27+89=116 Current State: 15:[101, 116], Operations: ['9+92=101', '27+89=116'] Exploring Operation: 116-101=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 85, 3, 3, 40 ]
85
[ "3-3=0", "40*0=0", "85+0=85" ]
Current State: 85:[85, 3, 3, 40], Operations: [] Exploring Operation: 3-3=0, Resulting Numbers: [85, 40, 0] Generated Node #2: [85, 40, 0] from Operation: 3-3=0 Current State: 85:[85, 40, 0], Operations: ['3-3=0'] Exploring Operation: 40*0=0, Resulting Numbers: [85, 0] Generated Node #3: [85, 0] from Operation: 40*0=0 Current State: 85:[85, 0], Operations: ['3-3=0', '40*0=0'] Exploring Operation: 85+0=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 62, 22, 67, 94 ]
77
[ "62+22=84", "67+94=161", "161-84=77" ]
Current State: 77:[62, 22, 67, 94], Operations: [] Exploring Operation: 62+22=84, Resulting Numbers: [67, 94, 84] Generated Node #2: [67, 94, 84] from Operation: 62+22=84 Current State: 77:[67, 94, 84], Operations: ['62+22=84'] Exploring Operation: 67+94=161, Resulting Numbers: [84, 161] Generated Node #3: [84, 161] from Operation: 67+94=161 Current State: 77:[84, 161], Operations: ['62+22=84', '67+94=161'] Exploring Operation: 161-84=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 38, 36, 36, 43 ]
29
[ "38-36=2", "36*2=72", "72-43=29" ]
Current State: 29:[38, 36, 36, 43], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [43, 2] Generated Node #2: [43, 2] from Operation: 38-36=2 Current State: 29:[43, 2], Operations: ['38-36=2'] Exploring Operation: 36*2=72, Resulting Numbers: [43, 72] Generated Node #3: [43, 72] from Operation: 36*2=72 Current State: 29:[43, 72], Operations: ['38-36=2', '36*2=72'] Exploring Operation: 72-43=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 87, 58, 83, 54 ]
61
[ "83-54=29", "87/29=3", "58+3=61" ]
Current State: 61:[87, 58, 83, 54], Operations: [] Exploring Operation: 83-54=29, Resulting Numbers: [87, 58, 29] Generated Node #2: [87, 58, 29] from Operation: 83-54=29 Current State: 61:[87, 58, 29], Operations: ['83-54=29'] Exploring Operation: 87/29=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 87/29=3 Current State: 61:[58, 3], Operations: ['83-54=29', '87/29=3'] Exploring Operation: 58+3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 2, 83, 52, 39 ]
98
[ "2+83=85", "52-39=13", "85+13=98" ]
Current State: 98:[2, 83, 52, 39], Operations: [] Exploring Operation: 2+83=85, Resulting Numbers: [52, 39, 85] Generated Node #2: [52, 39, 85] from Operation: 2+83=85 Current State: 98:[52, 39, 85], Operations: ['2+83=85'] Exploring Operation: 52-39=13, Resulting Numbers: [85, 13] Generated Node #3: [85, 13] from Operation: 52-39=13 Current State: 98:[85, 13], Operations: ['2+83=85', '52-39=13'] Exploring Operation: 85+13=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 74, 73, 17, 2 ]
29
[ "73+17=90", "90/2=45", "74-45=29" ]
Current State: 29:[74, 73, 17, 2], Operations: [] Exploring Operation: 73+17=90, Resulting Numbers: [74, 2, 90] Generated Node #2: [74, 2, 90] from Operation: 73+17=90 Current State: 29:[74, 2, 90], Operations: ['73+17=90'] Exploring Operation: 90/2=45, Resulting Numbers: [74, 45] Generated Node #3: [74, 45] from Operation: 90/2=45 Current State: 29:[74, 45], Operations: ['73+17=90', '90/2=45'] Exploring Operation: 74-45=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 84, 2, 22, 95 ]
22
[ "84+22=106", "106-95=11", "2*11=22" ]
Current State: 22:[84, 2, 22, 95], Operations: [] Exploring Operation: 84+22=106, Resulting Numbers: [2, 95, 106] Generated Node #2: [2, 95, 106] from Operation: 84+22=106 Current State: 22:[2, 95, 106], Operations: ['84+22=106'] Exploring Operation: 106-95=11, Resulting Numbers: [2, 11] Generated Node #3: [2, 11] from Operation: 106-95=11 Current State: 22:[2, 11], Operations: ['84+22=106', '106-95=11'] Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 81, 53, 14, 96 ]
48
[ "81-53=28", "14*96=1344", "1344/28=48" ]
Current State: 48:[81, 53, 14, 96], Operations: [] Exploring Operation: 81-53=28, Resulting Numbers: [14, 96, 28] Generated Node #2: [14, 96, 28] from Operation: 81-53=28 Current State: 48:[14, 96, 28], Operations: ['81-53=28'] Exploring Operation: 14*96=1344, Resulting Numbers: [28, 1344] Generated Node #3: [28, 1344] from Operation: 14*96=1344 Current State: 48:[28, 1344], Operations: ['81-53=28', '14*96=1344'] Exploring Operation: 1344/28=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 30, 27, 70, 10 ]
31
[ "70-30=40", "40/10=4", "27+4=31" ]
Current State: 31:[30, 27, 70, 10], Operations: [] Exploring Operation: 70-30=40, Resulting Numbers: [27, 10, 40] Generated Node #2: [27, 10, 40] from Operation: 70-30=40 Current State: 31:[27, 10, 40], Operations: ['70-30=40'] Exploring Operation: 40/10=4, Resulting Numbers: [27, 4] Generated Node #3: [27, 4] from Operation: 40/10=4 Current State: 31:[27, 4], Operations: ['70-30=40', '40/10=4'] Exploring Operation: 27+4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 51, 8, 45, 98 ]
84
[ "51+8=59", "45+98=143", "143-59=84" ]
Current State: 84:[51, 8, 45, 98], Operations: [] Exploring Operation: 51+8=59, Resulting Numbers: [45, 98, 59] Generated Node #2: [45, 98, 59] from Operation: 51+8=59 Current State: 84:[45, 98, 59], Operations: ['51+8=59'] Exploring Operation: 45+98=143, Resulting Numbers: [59, 143] Generated Node #3: [59, 143] from Operation: 45+98=143 Current State: 84:[59, 143], Operations: ['51+8=59', '45+98=143'] Exploring Operation: 143-59=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 95, 44, 60, 35 ]
26
[ "95-44=51", "60-35=25", "51-25=26" ]
Current State: 26:[95, 44, 60, 35], Operations: [] Exploring Operation: 95-44=51, Resulting Numbers: [60, 35, 51] Generated Node #2: [60, 35, 51] from Operation: 95-44=51 Current State: 26:[60, 35, 51], Operations: ['95-44=51'] Exploring Operation: 60-35=25, Resulting Numbers: [51, 25] Generated Node #3: [51, 25] from Operation: 60-35=25 Current State: 26:[51, 25], Operations: ['95-44=51', '60-35=25'] Exploring Operation: 51-25=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 36, 34, 96, 82 ]
84
[ "36+34=70", "96-82=14", "70+14=84" ]
Current State: 84:[36, 34, 96, 82], Operations: [] Exploring Operation: 36+34=70, Resulting Numbers: [96, 82, 70] Generated Node #2: [96, 82, 70] from Operation: 36+34=70 Current State: 84:[96, 82, 70], Operations: ['36+34=70'] Exploring Operation: 96-82=14, Resulting Numbers: [70, 14] Generated Node #3: [70, 14] from Operation: 96-82=14 Current State: 84:[70, 14], Operations: ['36+34=70', '96-82=14'] Exploring Operation: 70+14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 9, 29, 11, 64 ]
66
[ "29-11=18", "18/9=2", "64+2=66" ]
Current State: 66:[9, 29, 11, 64], Operations: [] Exploring Operation: 29-11=18, Resulting Numbers: [9, 64, 18] Generated Node #2: [9, 64, 18] from Operation: 29-11=18 Current State: 66:[9, 64, 18], Operations: ['29-11=18'] Exploring Operation: 18/9=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 18/9=2 Current State: 66:[64, 2], Operations: ['29-11=18', '18/9=2'] Exploring Operation: 64+2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4