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
[ 39, 19, 85, 1 ]
87
[ "39-1=38", "38/19=2", "85+2=87" ]
Current State: 87:[39, 19, 85, 1], Operations: [] Exploring Operation: 39-1=38, Resulting Numbers: [19, 85, 38] Generated Node #2: [19, 85, 38] from Operation: 39-1=38 Current State: 87:[19, 85, 38], Operations: ['39-1=38'] Exploring Operation: 38/19=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 38/19=2 Current State: 87:[85, 2], Operations: ['39-1=38', '38/19=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 85, 84, 72, 48 ]
81
[ "84-72=12", "48/12=4", "85-4=81" ]
Current State: 81:[85, 84, 72, 48], Operations: [] Exploring Operation: 84-72=12, Resulting Numbers: [85, 48, 12] Generated Node #2: [85, 48, 12] from Operation: 84-72=12 Current State: 81:[85, 48, 12], Operations: ['84-72=12'] Exploring Operation: 48/12=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 48/12=4 Current State: 81:[85, 4], Operations: ['84-72=12', '48/12=4'] Exploring Operation: 85-4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 75, 67, 6, 22 ]
36
[ "75-67=8", "6+22=28", "8+28=36" ]
Current State: 36:[75, 67, 6, 22], Operations: [] Exploring Operation: 75-67=8, Resulting Numbers: [6, 22, 8] Generated Node #2: [6, 22, 8] from Operation: 75-67=8 Current State: 36:[6, 22, 8], Operations: ['75-67=8'] Exploring Operation: 6+22=28, Resulting Numbers: [8, 28] Generated Node #3: [8, 28] from Operation: 6+22=28 Current State: 36:[8, 28], Operations: ['75-67=8', '6+22=28'] Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 10, 9, 31, 66 ]
16
[ "10+9=19", "66-31=35", "35-19=16" ]
Current State: 16:[10, 9, 31, 66], Operations: [] Exploring Operation: 10+9=19, Resulting Numbers: [31, 66, 19] Generated Node #2: [31, 66, 19] from Operation: 10+9=19 Current State: 16:[31, 66, 19], Operations: ['10+9=19'] Exploring Operation: 66-31=35, Resulting Numbers: [19, 35] Generated Node #3: [19, 35] from Operation: 66-31=35 Current State: 16:[19, 35], Operations: ['10+9=19', '66-31=35'] Exploring Operation: 35-19=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 14, 13, 81, 51 ]
29
[ "14-13=1", "81-51=30", "30-1=29" ]
Current State: 29:[14, 13, 81, 51], Operations: [] Exploring Operation: 14-13=1, Resulting Numbers: [81, 51, 1] Generated Node #2: [81, 51, 1] from Operation: 14-13=1 Current State: 29:[81, 51, 1], Operations: ['14-13=1'] Exploring Operation: 81-51=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operation: 81-51=30 Current State: 29:[1, 30], Operations: ['14-13=1', '81-51=30'] Exploring Operation: 30-1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 14, 66, 26, 10 ]
18
[ "14+66=80", "80/10=8", "26-8=18" ]
Current State: 18:[14, 66, 26, 10], Operations: [] Exploring Operation: 14+66=80, Resulting Numbers: [26, 10, 80] Generated Node #2: [26, 10, 80] from Operation: 14+66=80 Current State: 18:[26, 10, 80], Operations: ['14+66=80'] Exploring Operation: 80/10=8, Resulting Numbers: [26, 8] Generated Node #3: [26, 8] from Operation: 80/10=8 Current State: 18:[26, 8], Operations: ['14+66=80', '80/10=8'] Exploring Operation: 26-8=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 81, 9, 6, 93 ]
54
[ "81+6=87", "93-87=6", "9*6=54" ]
Current State: 54:[81, 9, 6, 93], Operations: [] Exploring Operation: 81+6=87, Resulting Numbers: [9, 93, 87] Generated Node #2: [9, 93, 87] from Operation: 81+6=87 Current State: 54:[9, 93, 87], Operations: ['81+6=87'] Exploring Operation: 93-87=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 93-87=6 Current State: 54:[9, 6], Operations: ['81+6=87', '93-87=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 12, 14, 49, 45 ]
41
[ "14-12=2", "45*2=90", "90-49=41" ]
Current State: 41:[12, 14, 49, 45], Operations: [] Exploring Operation: 14-12=2, Resulting Numbers: [49, 45, 2] Generated Node #2: [49, 45, 2] from Operation: 14-12=2 Current State: 41:[49, 45, 2], Operations: ['14-12=2'] Exploring Operation: 45*2=90, Resulting Numbers: [49, 90] Generated Node #3: [49, 90] from Operation: 45*2=90 Current State: 41:[49, 90], Operations: ['14-12=2', '45*2=90'] Exploring Operation: 90-49=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 33, 84, 75, 9 ]
11
[ "75-33=42", "84/42=2", "9+2=11" ]
Current State: 11:[33, 84, 75, 9], Operations: [] Exploring Operation: 75-33=42, Resulting Numbers: [84, 9, 42] Generated Node #2: [84, 9, 42] from Operation: 75-33=42 Current State: 11:[84, 9, 42], Operations: ['75-33=42'] Exploring Operation: 84/42=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 84/42=2 Current State: 11:[9, 2], Operations: ['75-33=42', '84/42=2'] Exploring Operation: 9+2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 72, 44, 29, 70 ]
69
[ "72-44=28", "70-29=41", "28+41=69" ]
Current State: 69:[72, 44, 29, 70], Operations: [] Exploring Operation: 72-44=28, Resulting Numbers: [29, 70, 28] Generated Node #2: [29, 70, 28] from Operation: 72-44=28 Current State: 69:[29, 70, 28], Operations: ['72-44=28'] Exploring Operation: 70-29=41, Resulting Numbers: [28, 41] Generated Node #3: [28, 41] from Operation: 70-29=41 Current State: 69:[28, 41], Operations: ['72-44=28', '70-29=41'] Exploring Operation: 28+41=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 85, 77, 44, 84 ]
37
[ "44*84=3696", "3696/77=48", "85-48=37" ]
Current State: 37:[85, 77, 44, 84], Operations: [] Exploring Operation: 44*84=3696, Resulting Numbers: [85, 77, 3696] Generated Node #2: [85, 77, 3696] from Operation: 44*84=3696 Current State: 37:[85, 77, 3696], Operations: ['44*84=3696'] Exploring Operation: 3696/77=48, Resulting Numbers: [85, 48] Generated Node #3: [85, 48] from Operation: 3696/77=48 Current State: 37:[85, 48], Operations: ['44*84=3696', '3696/77=48'] Exploring Operation: 85-48=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 19, 31, 87, 25 ]
38
[ "87-25=62", "19*62=1178", "1178/31=38" ]
Current State: 38:[19, 31, 87, 25], Operations: [] Exploring Operation: 87-25=62, Resulting Numbers: [19, 31, 62] Generated Node #2: [19, 31, 62] from Operation: 87-25=62 Current State: 38:[19, 31, 62], Operations: ['87-25=62'] Exploring Operation: 19*62=1178, Resulting Numbers: [31, 1178] Generated Node #3: [31, 1178] from Operation: 19*62=1178 Current State: 38:[31, 1178], Operations: ['87-25=62', '19*62=1178'] Exploring Operation: 1178/31=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 2, 95, 11, 82 ]
37
[ "95-82=13", "2*13=26", "11+26=37" ]
Current State: 37:[2, 95, 11, 82], Operations: [] Exploring Operation: 95-82=13, Resulting Numbers: [2, 11, 13] Generated Node #2: [2, 11, 13] from Operation: 95-82=13 Current State: 37:[2, 11, 13], Operations: ['95-82=13'] Exploring Operation: 2*13=26, Resulting Numbers: [11, 26] Generated Node #3: [11, 26] from Operation: 2*13=26 Current State: 37:[11, 26], Operations: ['95-82=13', '2*13=26'] Exploring Operation: 11+26=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 20, 42, 14, 11 ]
93
[ "20+11=31", "42/14=3", "31*3=93" ]
Current State: 93:[20, 42, 14, 11], Operations: [] Exploring Operation: 20+11=31, Resulting Numbers: [42, 14, 31] Generated Node #2: [42, 14, 31] from Operation: 20+11=31 Current State: 93:[42, 14, 31], Operations: ['20+11=31'] Exploring Operation: 42/14=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 42/14=3 Current State: 93:[31, 3], Operations: ['20+11=31', '42/14=3'] Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 14, 86, 1, 28 ]
42
[ "14*86=1204", "1204/28=43", "43-1=42" ]
Current State: 42:[14, 86, 1, 28], Operations: [] Exploring Operation: 14*86=1204, Resulting Numbers: [1, 28, 1204] Generated Node #2: [1, 28, 1204] from Operation: 14*86=1204 Current State: 42:[1, 28, 1204], Operations: ['14*86=1204'] Exploring Operation: 1204/28=43, Resulting Numbers: [1, 43] Generated Node #3: [1, 43] from Operation: 1204/28=43 Current State: 42:[1, 43], Operations: ['14*86=1204', '1204/28=43'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 49, 25, 52, 91 ]
16
[ "52-49=3", "25*3=75", "91-75=16" ]
Current State: 16:[49, 25, 52, 91], Operations: [] Exploring Operation: 52-49=3, Resulting Numbers: [25, 91, 3] Generated Node #2: [25, 91, 3] from Operation: 52-49=3 Current State: 16:[25, 91, 3], Operations: ['52-49=3'] Exploring Operation: 25*3=75, Resulting Numbers: [91, 75] Generated Node #3: [91, 75] from Operation: 25*3=75 Current State: 16:[91, 75], Operations: ['52-49=3', '25*3=75'] Exploring Operation: 91-75=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 71, 84, 17, 85 ]
89
[ "84-71=13", "17+85=102", "102-13=89" ]
Current State: 89:[71, 84, 17, 85], Operations: [] Exploring Operation: 84-71=13, Resulting Numbers: [17, 85, 13] Generated Node #2: [17, 85, 13] from Operation: 84-71=13 Current State: 89:[17, 85, 13], Operations: ['84-71=13'] Exploring Operation: 17+85=102, Resulting Numbers: [13, 102] Generated Node #3: [13, 102] from Operation: 17+85=102 Current State: 89:[13, 102], Operations: ['84-71=13', '17+85=102'] Exploring Operation: 102-13=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 97, 96, 4, 81 ]
32
[ "97-81=16", "4*16=64", "96-64=32" ]
Current State: 32:[97, 96, 4, 81], Operations: [] Exploring Operation: 97-81=16, Resulting Numbers: [96, 4, 16] Generated Node #2: [96, 4, 16] from Operation: 97-81=16 Current State: 32:[96, 4, 16], Operations: ['97-81=16'] Exploring Operation: 4*16=64, Resulting Numbers: [96, 64] Generated Node #3: [96, 64] from Operation: 4*16=64 Current State: 32:[96, 64], Operations: ['97-81=16', '4*16=64'] Exploring Operation: 96-64=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 53, 18, 4, 49 ]
80
[ "53-18=35", "49-4=45", "35+45=80" ]
Current State: 80:[53, 18, 4, 49], Operations: [] Exploring Operation: 53-18=35, Resulting Numbers: [4, 49, 35] Generated Node #2: [4, 49, 35] from Operation: 53-18=35 Current State: 80:[4, 49, 35], Operations: ['53-18=35'] Exploring Operation: 49-4=45, Resulting Numbers: [35, 45] Generated Node #3: [35, 45] from Operation: 49-4=45 Current State: 80:[35, 45], Operations: ['53-18=35', '49-4=45'] Exploring Operation: 35+45=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 18, 38, 28, 3 ]
51
[ "38-18=20", "28+3=31", "20+31=51" ]
Current State: 51:[18, 38, 28, 3], Operations: [] Exploring Operation: 38-18=20, Resulting Numbers: [28, 3, 20] Generated Node #2: [28, 3, 20] from Operation: 38-18=20 Current State: 51:[28, 3, 20], Operations: ['38-18=20'] Exploring Operation: 28+3=31, Resulting Numbers: [20, 31] Generated Node #3: [20, 31] from Operation: 28+3=31 Current State: 51:[20, 31], Operations: ['38-18=20', '28+3=31'] Exploring Operation: 20+31=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 63, 58, 29, 17 ]
17
[ "63-58=5", "29-17=12", "5+12=17" ]
Current State: 17:[63, 58, 29, 17], Operations: [] Exploring Operation: 63-58=5, Resulting Numbers: [29, 17, 5] Generated Node #2: [29, 17, 5] from Operation: 63-58=5 Current State: 17:[29, 17, 5], Operations: ['63-58=5'] Exploring Operation: 29-17=12, Resulting Numbers: [5, 12] Generated Node #3: [5, 12] from Operation: 29-17=12 Current State: 17:[5, 12], Operations: ['63-58=5', '29-17=12'] Exploring Operation: 5+12=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 46, 30, 41, 29 ]
90
[ "46+41=87", "30*87=2610", "2610/29=90" ]
Current State: 90:[46, 30, 41, 29], Operations: [] Exploring Operation: 46+41=87, Resulting Numbers: [30, 29, 87] Generated Node #2: [30, 29, 87] from Operation: 46+41=87 Current State: 90:[30, 29, 87], Operations: ['46+41=87'] Exploring Operation: 30*87=2610, Resulting Numbers: [29, 2610] Generated Node #3: [29, 2610] from Operation: 30*87=2610 Current State: 90:[29, 2610], Operations: ['46+41=87', '30*87=2610'] Exploring Operation: 2610/29=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 21, 15, 23, 30 ]
88
[ "21+23=44", "30/15=2", "44*2=88" ]
Current State: 88:[21, 15, 23, 30], Operations: [] Exploring Operation: 21+23=44, Resulting Numbers: [15, 30, 44] Generated Node #2: [15, 30, 44] from Operation: 21+23=44 Current State: 88:[15, 30, 44], Operations: ['21+23=44'] Exploring Operation: 30/15=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 30/15=2 Current State: 88:[44, 2], Operations: ['21+23=44', '30/15=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 78, 5, 33, 67 ]
98
[ "33+67=100", "100/5=20", "78+20=98" ]
Current State: 98:[78, 5, 33, 67], Operations: [] Exploring Operation: 33+67=100, Resulting Numbers: [78, 5, 100] Generated Node #2: [78, 5, 100] from Operation: 33+67=100 Current State: 98:[78, 5, 100], Operations: ['33+67=100'] Exploring Operation: 100/5=20, Resulting Numbers: [78, 20] Generated Node #3: [78, 20] from Operation: 100/5=20 Current State: 98:[78, 20], Operations: ['33+67=100', '100/5=20'] Exploring Operation: 78+20=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 96, 52, 29, 93 ]
91
[ "52+93=145", "145/29=5", "96-5=91" ]
Current State: 91:[96, 52, 29, 93], Operations: [] Exploring Operation: 52+93=145, Resulting Numbers: [96, 29, 145] Generated Node #2: [96, 29, 145] from Operation: 52+93=145 Current State: 91:[96, 29, 145], Operations: ['52+93=145'] Exploring Operation: 145/29=5, Resulting Numbers: [96, 5] Generated Node #3: [96, 5] from Operation: 145/29=5 Current State: 91:[96, 5], Operations: ['52+93=145', '145/29=5'] Exploring Operation: 96-5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 90, 5, 3, 87 ]
42
[ "5-3=2", "90/2=45", "87-45=42" ]
Current State: 42:[90, 5, 3, 87], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [90, 87, 2] Generated Node #2: [90, 87, 2] from Operation: 5-3=2 Current State: 42:[90, 87, 2], Operations: ['5-3=2'] Exploring Operation: 90/2=45, Resulting Numbers: [87, 45] Generated Node #3: [87, 45] from Operation: 90/2=45 Current State: 42:[87, 45], Operations: ['5-3=2', '90/2=45'] Exploring Operation: 87-45=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 90, 93, 3, 17 ]
11
[ "93-90=3", "17-3=14", "14-3=11" ]
Current State: 11:[90, 93, 3, 17], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [3, 17, 3] Generated Node #2: [3, 17, 3] from Operation: 93-90=3 Current State: 11:[3, 17, 3], Operations: ['93-90=3'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,11 equal: Goal Reached Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 90, 20, 36, 60 ]
86
[ "90+20=110", "60-36=24", "110-24=86" ]
Current State: 86:[90, 20, 36, 60], Operations: [] Exploring Operation: 90+20=110, Resulting Numbers: [36, 60, 110] Generated Node #2: [36, 60, 110] from Operation: 90+20=110 Current State: 86:[36, 60, 110], Operations: ['90+20=110'] Exploring Operation: 60-36=24, Resulting Numbers: [110, 24] Generated Node #3: [110, 24] from Operation: 60-36=24 Current State: 86:[110, 24], Operations: ['90+20=110', '60-36=24'] Exploring Operation: 110-24=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 33, 85, 51, 32 ]
71
[ "85-33=52", "51-32=19", "52+19=71" ]
Current State: 71:[33, 85, 51, 32], Operations: [] Exploring Operation: 85-33=52, Resulting Numbers: [51, 32, 52] Generated Node #2: [51, 32, 52] from Operation: 85-33=52 Current State: 71:[51, 32, 52], Operations: ['85-33=52'] Exploring Operation: 51-32=19, Resulting Numbers: [52, 19] Generated Node #3: [52, 19] from Operation: 51-32=19 Current State: 71:[52, 19], Operations: ['85-33=52', '51-32=19'] Exploring Operation: 52+19=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 36, 3, 83, 38 ]
78
[ "36-3=33", "83-38=45", "33+45=78" ]
Current State: 78:[36, 3, 83, 38], Operations: [] Exploring Operation: 36-3=33, Resulting Numbers: [83, 38, 33] Generated Node #2: [83, 38, 33] from Operation: 36-3=33 Current State: 78:[83, 38, 33], Operations: ['36-3=33'] Exploring Operation: 83-38=45, Resulting Numbers: [33, 45] Generated Node #3: [33, 45] from Operation: 83-38=45 Current State: 78:[33, 45], Operations: ['36-3=33', '83-38=45'] Exploring Operation: 33+45=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 20, 79, 80, 53 ]
86
[ "79-20=59", "80-53=27", "59+27=86" ]
Current State: 86:[20, 79, 80, 53], Operations: [] Exploring Operation: 79-20=59, Resulting Numbers: [80, 53, 59] Generated Node #2: [80, 53, 59] from Operation: 79-20=59 Current State: 86:[80, 53, 59], Operations: ['79-20=59'] Exploring Operation: 80-53=27, Resulting Numbers: [59, 27] Generated Node #3: [59, 27] from Operation: 80-53=27 Current State: 86:[59, 27], Operations: ['79-20=59', '80-53=27'] Exploring Operation: 59+27=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 59, 66, 94, 8 ]
94
[ "66-59=7", "8-7=1", "94*1=94" ]
Current State: 94:[59, 66, 94, 8], Operations: [] Exploring Operation: 66-59=7, Resulting Numbers: [94, 8, 7] Generated Node #2: [94, 8, 7] from Operation: 66-59=7 Current State: 94:[94, 8, 7], Operations: ['66-59=7'] Exploring Operation: 8-7=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 8-7=1 Current State: 94:[94, 1], Operations: ['66-59=7', '8-7=1'] Exploring Operation: 94*1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 81, 91, 88, 53 ]
80
[ "91-88=3", "81/3=27", "53+27=80" ]
Current State: 80:[81, 91, 88, 53], Operations: [] Exploring Operation: 91-88=3, Resulting Numbers: [81, 53, 3] Generated Node #2: [81, 53, 3] from Operation: 91-88=3 Current State: 80:[81, 53, 3], Operations: ['91-88=3'] Exploring Operation: 81/3=27, Resulting Numbers: [53, 27] Generated Node #3: [53, 27] from Operation: 81/3=27 Current State: 80:[53, 27], Operations: ['91-88=3', '81/3=27'] Exploring Operation: 53+27=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 62, 32, 32, 29 ]
62
[ "32-32=0", "29*0=0", "62+0=62" ]
Current State: 62:[62, 32, 32, 29], Operations: [] Exploring Operation: 32-32=0, Resulting Numbers: [62, 29, 0] Generated Node #2: [62, 29, 0] from Operation: 32-32=0 Current State: 62:[62, 29, 0], Operations: ['32-32=0'] Exploring Operation: 29*0=0, Resulting Numbers: [62, 0] Generated Node #3: [62, 0] from Operation: 29*0=0 Current State: 62:[62, 0], Operations: ['32-32=0', '29*0=0'] Exploring Operation: 62+0=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 9, 5, 9, 54 ]
90
[ "9*5=45", "54-9=45", "45+45=90" ]
Current State: 90:[9, 5, 9, 54], Operations: [] Exploring Operation: 9*5=45, Resulting Numbers: [54, 45] Generated Node #2: [54, 45] from Operation: 9*5=45 Current State: 90:[54, 45], Operations: ['9*5=45'] Exploring Operation: 54-9=45, Resulting Numbers: [45, 45] Generated Node #3: [45, 45] from Operation: 54-9=45 Current State: 90:[45, 45], Operations: ['9*5=45', '54-9=45'] Exploring Operation: 45+45=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 43, 60, 25, 27 ]
26
[ "27-25=2", "43*2=86", "86-60=26" ]
Current State: 26:[43, 60, 25, 27], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [43, 60, 2] Generated Node #2: [43, 60, 2] from Operation: 27-25=2 Current State: 26:[43, 60, 2], Operations: ['27-25=2'] Exploring Operation: 43*2=86, Resulting Numbers: [60, 86] Generated Node #3: [60, 86] from Operation: 43*2=86 Current State: 26:[60, 86], Operations: ['27-25=2', '43*2=86'] Exploring Operation: 86-60=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 56, 76, 2, 50 ]
13
[ "56-50=6", "76+2=78", "78/6=13" ]
Current State: 13:[56, 76, 2, 50], Operations: [] Exploring Operation: 56-50=6, Resulting Numbers: [76, 2, 6] Generated Node #2: [76, 2, 6] from Operation: 56-50=6 Current State: 13:[76, 2, 6], Operations: ['56-50=6'] Exploring Operation: 76+2=78, Resulting Numbers: [6, 78] Generated Node #3: [6, 78] from Operation: 76+2=78 Current State: 13:[6, 78], Operations: ['56-50=6', '76+2=78'] Exploring Operation: 78/6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 11, 5, 93, 33 ]
95
[ "33/11=3", "5+93=98", "98-3=95" ]
Current State: 95:[11, 5, 93, 33], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [5, 93, 3] Generated Node #2: [5, 93, 3] from Operation: 33/11=3 Current State: 95:[5, 93, 3], Operations: ['33/11=3'] Exploring Operation: 5+93=98, Resulting Numbers: [3, 98] Generated Node #3: [3, 98] from Operation: 5+93=98 Current State: 95:[3, 98], Operations: ['33/11=3', '5+93=98'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 7, 57, 57, 59 ]
100
[ "57-7=50", "59-57=2", "50*2=100" ]
Current State: 100:[7, 57, 57, 59], Operations: [] Exploring Operation: 57-7=50, Resulting Numbers: [59, 50] Generated Node #2: [59, 50] from Operation: 57-7=50 Current State: 100:[59, 50], Operations: ['57-7=50'] Exploring Operation: 59-57=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 59-57=2 Current State: 100:[50, 2], Operations: ['57-7=50', '59-57=2'] Exploring Operation: 50*2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 33, 84, 49, 80 ]
40
[ "84-33=51", "51-49=2", "80/2=40" ]
Current State: 40:[33, 84, 49, 80], Operations: [] Exploring Operation: 84-33=51, Resulting Numbers: [49, 80, 51] Generated Node #2: [49, 80, 51] from Operation: 84-33=51 Current State: 40:[49, 80, 51], Operations: ['84-33=51'] Exploring Operation: 51-49=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 51-49=2 Current State: 40:[80, 2], Operations: ['84-33=51', '51-49=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 11, 56, 38, 24 ]
59
[ "56-11=45", "38-24=14", "45+14=59" ]
Current State: 59:[11, 56, 38, 24], Operations: [] Exploring Operation: 56-11=45, Resulting Numbers: [38, 24, 45] Generated Node #2: [38, 24, 45] from Operation: 56-11=45 Current State: 59:[38, 24, 45], Operations: ['56-11=45'] Exploring Operation: 38-24=14, Resulting Numbers: [45, 14] Generated Node #3: [45, 14] from Operation: 38-24=14 Current State: 59:[45, 14], Operations: ['56-11=45', '38-24=14'] Exploring Operation: 45+14=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 24, 2, 16 ]
25
[ "24-7=17", "16/2=8", "17+8=25" ]
Current State: 25:[7, 24, 2, 16], Operations: [] Exploring Operation: 24-7=17, Resulting Numbers: [2, 16, 17] Generated Node #2: [2, 16, 17] from Operation: 24-7=17 Current State: 25:[2, 16, 17], Operations: ['24-7=17'] Exploring Operation: 16/2=8, Resulting Numbers: [17, 8] Generated Node #3: [17, 8] from Operation: 16/2=8 Current State: 25:[17, 8], Operations: ['24-7=17', '16/2=8'] Exploring Operation: 17+8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 80, 11, 66, 42 ]
87
[ "66/11=6", "42/6=7", "80+7=87" ]
Current State: 87:[80, 11, 66, 42], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [80, 42, 6] Generated Node #2: [80, 42, 6] from Operation: 66/11=6 Current State: 87:[80, 42, 6], Operations: ['66/11=6'] Exploring Operation: 42/6=7, Resulting Numbers: [80, 7] Generated Node #3: [80, 7] from Operation: 42/6=7 Current State: 87:[80, 7], Operations: ['66/11=6', '42/6=7'] Exploring Operation: 80+7=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 29, 31, 64, 91 ]
29
[ "31-29=2", "91-64=27", "2+27=29" ]
Current State: 29:[29, 31, 64, 91], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [64, 91, 2] Generated Node #2: [64, 91, 2] from Operation: 31-29=2 Current State: 29:[64, 91, 2], Operations: ['31-29=2'] Exploring Operation: 91-64=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 91-64=27 Current State: 29:[2, 27], Operations: ['31-29=2', '91-64=27'] Exploring Operation: 2+27=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 74, 15, 30, 71 ]
42
[ "74-15=59", "30+71=101", "101-59=42" ]
Current State: 42:[74, 15, 30, 71], Operations: [] Exploring Operation: 74-15=59, Resulting Numbers: [30, 71, 59] Generated Node #2: [30, 71, 59] from Operation: 74-15=59 Current State: 42:[30, 71, 59], Operations: ['74-15=59'] Exploring Operation: 30+71=101, Resulting Numbers: [59, 101] Generated Node #3: [59, 101] from Operation: 30+71=101 Current State: 42:[59, 101], Operations: ['74-15=59', '30+71=101'] Exploring Operation: 101-59=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 51, 52, 60, 36 ]
23
[ "52-51=1", "60-36=24", "24-1=23" ]
Current State: 23:[51, 52, 60, 36], Operations: [] Exploring Operation: 52-51=1, Resulting Numbers: [60, 36, 1] Generated Node #2: [60, 36, 1] from Operation: 52-51=1 Current State: 23:[60, 36, 1], Operations: ['52-51=1'] Exploring Operation: 60-36=24, Resulting Numbers: [1, 24] Generated Node #3: [1, 24] from Operation: 60-36=24 Current State: 23:[1, 24], Operations: ['52-51=1', '60-36=24'] Exploring Operation: 24-1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 32, 56, 35, 25 ]
43
[ "32-25=7", "56/7=8", "35+8=43" ]
Current State: 43:[32, 56, 35, 25], Operations: [] Exploring Operation: 32-25=7, Resulting Numbers: [56, 35, 7] Generated Node #2: [56, 35, 7] from Operation: 32-25=7 Current State: 43:[56, 35, 7], Operations: ['32-25=7'] Exploring Operation: 56/7=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 56/7=8 Current State: 43:[35, 8], Operations: ['32-25=7', '56/7=8'] Exploring Operation: 35+8=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 50, 26, 37, 90 ]
92
[ "50-37=13", "26/13=2", "90+2=92" ]
Current State: 92:[50, 26, 37, 90], Operations: [] Exploring Operation: 50-37=13, Resulting Numbers: [26, 90, 13] Generated Node #2: [26, 90, 13] from Operation: 50-37=13 Current State: 92:[26, 90, 13], Operations: ['50-37=13'] Exploring Operation: 26/13=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 26/13=2 Current State: 92:[90, 2], Operations: ['50-37=13', '26/13=2'] Exploring Operation: 90+2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 8, 46, 15, 97 ]
58
[ "8+46=54", "15+97=112", "112-54=58" ]
Current State: 58:[8, 46, 15, 97], Operations: [] Exploring Operation: 8+46=54, Resulting Numbers: [15, 97, 54] Generated Node #2: [15, 97, 54] from Operation: 8+46=54 Current State: 58:[15, 97, 54], Operations: ['8+46=54'] Exploring Operation: 15+97=112, Resulting Numbers: [54, 112] Generated Node #3: [54, 112] from Operation: 15+97=112 Current State: 58:[54, 112], Operations: ['8+46=54', '15+97=112'] Exploring Operation: 112-54=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 54, 30, 29, 84 ]
19
[ "54*29=1566", "30+1566=1596", "1596/84=19" ]
Current State: 19:[54, 30, 29, 84], Operations: [] Exploring Operation: 54*29=1566, Resulting Numbers: [30, 84, 1566] Generated Node #2: [30, 84, 1566] from Operation: 54*29=1566 Current State: 19:[30, 84, 1566], Operations: ['54*29=1566'] Exploring Operation: 30+1566=1596, Resulting Numbers: [84, 1596] Generated Node #3: [84, 1596] from Operation: 30+1566=1596 Current State: 19:[84, 1596], Operations: ['54*29=1566', '30+1566=1596'] Exploring Operation: 1596/84=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 55, 23, 13, 14 ]
84
[ "55+23=78", "78/13=6", "14*6=84" ]
Current State: 84:[55, 23, 13, 14], Operations: [] Exploring Operation: 55+23=78, Resulting Numbers: [13, 14, 78] Generated Node #2: [13, 14, 78] from Operation: 55+23=78 Current State: 84:[13, 14, 78], Operations: ['55+23=78'] Exploring Operation: 78/13=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 78/13=6 Current State: 84:[14, 6], Operations: ['55+23=78', '78/13=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 67, 45, 21, 55 ]
72
[ "67+21=88", "45*88=3960", "3960/55=72" ]
Current State: 72:[67, 45, 21, 55], Operations: [] Exploring Operation: 67+21=88, Resulting Numbers: [45, 55, 88] Generated Node #2: [45, 55, 88] from Operation: 67+21=88 Current State: 72:[45, 55, 88], Operations: ['67+21=88'] Exploring Operation: 45*88=3960, Resulting Numbers: [55, 3960] Generated Node #3: [55, 3960] from Operation: 45*88=3960 Current State: 72:[55, 3960], Operations: ['67+21=88', '45*88=3960'] Exploring Operation: 3960/55=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 76, 29, 58, 8 ]
92
[ "58/29=2", "8*2=16", "76+16=92" ]
Current State: 92:[76, 29, 58, 8], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [76, 8, 2] Generated Node #2: [76, 8, 2] from Operation: 58/29=2 Current State: 92:[76, 8, 2], Operations: ['58/29=2'] Exploring Operation: 8*2=16, Resulting Numbers: [76, 16] Generated Node #3: [76, 16] from Operation: 8*2=16 Current State: 92:[76, 16], Operations: ['58/29=2', '8*2=16'] Exploring Operation: 76+16=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 99, 14, 13, 5 ]
88
[ "99-5=94", "14*13=182", "182-94=88" ]
Current State: 88:[99, 14, 13, 5], Operations: [] Exploring Operation: 99-5=94, Resulting Numbers: [14, 13, 94] Generated Node #2: [14, 13, 94] from Operation: 99-5=94 Current State: 88:[14, 13, 94], Operations: ['99-5=94'] Exploring Operation: 14*13=182, Resulting Numbers: [94, 182] Generated Node #3: [94, 182] from Operation: 14*13=182 Current State: 88:[94, 182], Operations: ['99-5=94', '14*13=182'] Exploring Operation: 182-94=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 38, 42, 79, 39 ]
14
[ "38+79=117", "42*39=1638", "1638/117=14" ]
Current State: 14:[38, 42, 79, 39], Operations: [] Exploring Operation: 38+79=117, Resulting Numbers: [42, 39, 117] Generated Node #2: [42, 39, 117] from Operation: 38+79=117 Current State: 14:[42, 39, 117], Operations: ['38+79=117'] Exploring Operation: 42*39=1638, Resulting Numbers: [117, 1638] Generated Node #3: [117, 1638] from Operation: 42*39=1638 Current State: 14:[117, 1638], Operations: ['38+79=117', '42*39=1638'] Exploring Operation: 1638/117=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 94, 76, 55, 46 ]
69
[ "94+76=170", "55+46=101", "170-101=69" ]
Current State: 69:[94, 76, 55, 46], Operations: [] Exploring Operation: 94+76=170, Resulting Numbers: [55, 46, 170] Generated Node #2: [55, 46, 170] from Operation: 94+76=170 Current State: 69:[55, 46, 170], Operations: ['94+76=170'] Exploring Operation: 55+46=101, Resulting Numbers: [170, 101] Generated Node #3: [170, 101] from Operation: 55+46=101 Current State: 69:[170, 101], Operations: ['94+76=170', '55+46=101'] Exploring Operation: 170-101=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 76, 21, 16, 9 ]
30
[ "76-21=55", "16+9=25", "55-25=30" ]
Current State: 30:[76, 21, 16, 9], Operations: [] Exploring Operation: 76-21=55, Resulting Numbers: [16, 9, 55] Generated Node #2: [16, 9, 55] from Operation: 76-21=55 Current State: 30:[16, 9, 55], Operations: ['76-21=55'] Exploring Operation: 16+9=25, Resulting Numbers: [55, 25] Generated Node #3: [55, 25] from Operation: 16+9=25 Current State: 30:[55, 25], Operations: ['76-21=55', '16+9=25'] Exploring Operation: 55-25=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 11, 14, 36, 14 ]
25
[ "11+14=25", "36+14=50", "50-25=25" ]
Current State: 25:[11, 14, 36, 14], Operations: [] Exploring Operation: 11+14=25, Resulting Numbers: [36, 25] Generated Node #2: [36, 25] from Operation: 11+14=25 Current State: 25:[36, 25], Operations: ['11+14=25'] Exploring Operation: 36+14=50, Resulting Numbers: [25, 50] Generated Node #3: [25, 50] from Operation: 36+14=50 Current State: 25:[25, 50], Operations: ['11+14=25', '36+14=50'] Exploring Operation: 50-25=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 22, 64, 34, 11 ]
88
[ "64-22=42", "42-34=8", "11*8=88" ]
Current State: 88:[22, 64, 34, 11], Operations: [] Exploring Operation: 64-22=42, Resulting Numbers: [34, 11, 42] Generated Node #2: [34, 11, 42] from Operation: 64-22=42 Current State: 88:[34, 11, 42], Operations: ['64-22=42'] Exploring Operation: 42-34=8, Resulting Numbers: [11, 8] Generated Node #3: [11, 8] from Operation: 42-34=8 Current State: 88:[11, 8], Operations: ['64-22=42', '42-34=8'] Exploring Operation: 11*8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 72, 90, 60, 10 ]
87
[ "90+60=150", "150/10=15", "72+15=87" ]
Current State: 87:[72, 90, 60, 10], Operations: [] Exploring Operation: 90+60=150, Resulting Numbers: [72, 10, 150] Generated Node #2: [72, 10, 150] from Operation: 90+60=150 Current State: 87:[72, 10, 150], Operations: ['90+60=150'] Exploring Operation: 150/10=15, Resulting Numbers: [72, 15] Generated Node #3: [72, 15] from Operation: 150/10=15 Current State: 87:[72, 15], Operations: ['90+60=150', '150/10=15'] Exploring Operation: 72+15=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 69, 2, 17, 23 ]
73
[ "69-2=67", "23-17=6", "67+6=73" ]
Current State: 73:[69, 2, 17, 23], Operations: [] Exploring Operation: 69-2=67, Resulting Numbers: [17, 23, 67] Generated Node #2: [17, 23, 67] from Operation: 69-2=67 Current State: 73:[17, 23, 67], Operations: ['69-2=67'] Exploring Operation: 23-17=6, Resulting Numbers: [67, 6] Generated Node #3: [67, 6] from Operation: 23-17=6 Current State: 73:[67, 6], Operations: ['69-2=67', '23-17=6'] Exploring Operation: 67+6=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 54, 76, 21, 5 ]
14
[ "54*21=1134", "76+5=81", "1134/81=14" ]
Current State: 14:[54, 76, 21, 5], Operations: [] Exploring Operation: 54*21=1134, Resulting Numbers: [76, 5, 1134] Generated Node #2: [76, 5, 1134] from Operation: 54*21=1134 Current State: 14:[76, 5, 1134], Operations: ['54*21=1134'] Exploring Operation: 76+5=81, Resulting Numbers: [1134, 81] Generated Node #3: [1134, 81] from Operation: 76+5=81 Current State: 14:[1134, 81], Operations: ['54*21=1134', '76+5=81'] Exploring Operation: 1134/81=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 67, 6, 76, 19 ]
22
[ "67+6=73", "76+19=95", "95-73=22" ]
Current State: 22:[67, 6, 76, 19], Operations: [] Exploring Operation: 67+6=73, Resulting Numbers: [76, 19, 73] Generated Node #2: [76, 19, 73] from Operation: 67+6=73 Current State: 22:[76, 19, 73], Operations: ['67+6=73'] Exploring Operation: 76+19=95, Resulting Numbers: [73, 95] Generated Node #3: [73, 95] from Operation: 76+19=95 Current State: 22:[73, 95], Operations: ['67+6=73', '76+19=95'] Exploring Operation: 95-73=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 23, 74, 25, 98 ]
72
[ "23*74=1702", "98+1702=1800", "1800/25=72" ]
Current State: 72:[23, 74, 25, 98], Operations: [] Exploring Operation: 23*74=1702, Resulting Numbers: [25, 98, 1702] Generated Node #2: [25, 98, 1702] from Operation: 23*74=1702 Current State: 72:[25, 98, 1702], Operations: ['23*74=1702'] Exploring Operation: 98+1702=1800, Resulting Numbers: [25, 1800] Generated Node #3: [25, 1800] from Operation: 98+1702=1800 Current State: 72:[25, 1800], Operations: ['23*74=1702', '98+1702=1800'] Exploring Operation: 1800/25=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 29, 54, 44, 11 ]
81
[ "54-44=10", "11*10=110", "110-29=81" ]
Current State: 81:[29, 54, 44, 11], Operations: [] Exploring Operation: 54-44=10, Resulting Numbers: [29, 11, 10] Generated Node #2: [29, 11, 10] from Operation: 54-44=10 Current State: 81:[29, 11, 10], Operations: ['54-44=10'] Exploring Operation: 11*10=110, Resulting Numbers: [29, 110] Generated Node #3: [29, 110] from Operation: 11*10=110 Current State: 81:[29, 110], Operations: ['54-44=10', '11*10=110'] Exploring Operation: 110-29=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 87, 10, 59, 69 ]
88
[ "10+59=69", "69/69=1", "87+1=88" ]
Current State: 88:[87, 10, 59, 69], Operations: [] Exploring Operation: 10+59=69, Resulting Numbers: [87, 69, 69] Generated Node #2: [87, 69, 69] from Operation: 10+59=69 Current State: 88:[87, 69, 69], Operations: ['10+59=69'] Exploring Operation: 69/69=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 69/69=1 Current State: 88:[87, 1], Operations: ['10+59=69', '69/69=1'] Exploring Operation: 87+1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 79, 2, 15, 85 ]
12
[ "85-79=6", "6/2=3", "15-3=12" ]
Current State: 12:[79, 2, 15, 85], Operations: [] Exploring Operation: 85-79=6, Resulting Numbers: [2, 15, 6] Generated Node #2: [2, 15, 6] from Operation: 85-79=6 Current State: 12:[2, 15, 6], Operations: ['85-79=6'] Exploring Operation: 6/2=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 6/2=3 Current State: 12:[15, 3], Operations: ['85-79=6', '6/2=3'] Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 21, 27, 7, 42 ]
55
[ "27-21=6", "7+42=49", "6+49=55" ]
Current State: 55:[21, 27, 7, 42], Operations: [] Exploring Operation: 27-21=6, Resulting Numbers: [7, 42, 6] Generated Node #2: [7, 42, 6] from Operation: 27-21=6 Current State: 55:[7, 42, 6], Operations: ['27-21=6'] Exploring Operation: 7+42=49, Resulting Numbers: [6, 49] Generated Node #3: [6, 49] from Operation: 7+42=49 Current State: 55:[6, 49], Operations: ['27-21=6', '7+42=49'] Exploring Operation: 6+49=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 78, 31, 16, 46 ]
16
[ "78-31=47", "47-46=1", "16*1=16" ]
Current State: 16:[78, 31, 16, 46], Operations: [] Exploring Operation: 78-31=47, Resulting Numbers: [16, 46, 47] Generated Node #2: [16, 46, 47] from Operation: 78-31=47 Current State: 16:[16, 46, 47], Operations: ['78-31=47'] Exploring Operation: 47-46=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 47-46=1 Current State: 16:[16, 1], Operations: ['78-31=47', '47-46=1'] Exploring Operation: 16*1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 82, 4, 2, 63 ]
88
[ "82*2=164", "4*63=252", "252-164=88" ]
Current State: 88:[82, 4, 2, 63], Operations: [] Exploring Operation: 82*2=164, Resulting Numbers: [4, 63, 164] Generated Node #2: [4, 63, 164] from Operation: 82*2=164 Current State: 88:[4, 63, 164], Operations: ['82*2=164'] Exploring Operation: 4*63=252, Resulting Numbers: [164, 252] Generated Node #3: [164, 252] from Operation: 4*63=252 Current State: 88:[164, 252], Operations: ['82*2=164', '4*63=252'] Exploring Operation: 252-164=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 51, 88, 15, 27 ]
47
[ "88*15=1320", "1320-51=1269", "1269/27=47" ]
Current State: 47:[51, 88, 15, 27], Operations: [] Exploring Operation: 88*15=1320, Resulting Numbers: [51, 27, 1320] Generated Node #2: [51, 27, 1320] from Operation: 88*15=1320 Current State: 47:[51, 27, 1320], Operations: ['88*15=1320'] Exploring Operation: 1320-51=1269, Resulting Numbers: [27, 1269] Generated Node #3: [27, 1269] from Operation: 1320-51=1269 Current State: 47:[27, 1269], Operations: ['88*15=1320', '1320-51=1269'] Exploring Operation: 1269/27=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 42, 94, 35, 49 ]
87
[ "42-35=7", "49/7=7", "94-7=87" ]
Current State: 87:[42, 94, 35, 49], Operations: [] Exploring Operation: 42-35=7, Resulting Numbers: [94, 49, 7] Generated Node #2: [94, 49, 7] from Operation: 42-35=7 Current State: 87:[94, 49, 7], Operations: ['42-35=7'] Exploring Operation: 49/7=7, Resulting Numbers: [94, 7] Generated Node #3: [94, 7] from Operation: 49/7=7 Current State: 87:[94, 7], Operations: ['42-35=7', '49/7=7'] Exploring Operation: 94-7=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 89, 61, 75, 17 ]
15
[ "89+61=150", "150/75=2", "17-2=15" ]
Current State: 15:[89, 61, 75, 17], Operations: [] Exploring Operation: 89+61=150, Resulting Numbers: [75, 17, 150] Generated Node #2: [75, 17, 150] from Operation: 89+61=150 Current State: 15:[75, 17, 150], Operations: ['89+61=150'] Exploring Operation: 150/75=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 150/75=2 Current State: 15:[17, 2], Operations: ['89+61=150', '150/75=2'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 89, 74, 84, 28 ]
71
[ "89-74=15", "84-28=56", "15+56=71" ]
Current State: 71:[89, 74, 84, 28], Operations: [] Exploring Operation: 89-74=15, Resulting Numbers: [84, 28, 15] Generated Node #2: [84, 28, 15] from Operation: 89-74=15 Current State: 71:[84, 28, 15], Operations: ['89-74=15'] Exploring Operation: 84-28=56, Resulting Numbers: [15, 56] Generated Node #3: [15, 56] from Operation: 84-28=56 Current State: 71:[15, 56], Operations: ['89-74=15', '84-28=56'] Exploring Operation: 15+56=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 32, 64, 41, 75 ]
66
[ "64-32=32", "75-41=34", "32+34=66" ]
Current State: 66:[32, 64, 41, 75], Operations: [] Exploring Operation: 64-32=32, Resulting Numbers: [41, 75, 32] Generated Node #2: [41, 75, 32] from Operation: 64-32=32 Current State: 66:[41, 75, 32], Operations: ['64-32=32'] Exploring Operation: 75-41=34, Resulting Numbers: [32, 34] Generated Node #3: [32, 34] from Operation: 75-41=34 Current State: 66:[32, 34], Operations: ['64-32=32', '75-41=34'] Exploring Operation: 32+34=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 90, 64, 30, 47 ]
45
[ "90*47=4230", "64+30=94", "4230/94=45" ]
Current State: 45:[90, 64, 30, 47], Operations: [] Exploring Operation: 90*47=4230, Resulting Numbers: [64, 30, 4230] Generated Node #2: [64, 30, 4230] from Operation: 90*47=4230 Current State: 45:[64, 30, 4230], Operations: ['90*47=4230'] Exploring Operation: 64+30=94, Resulting Numbers: [4230, 94] Generated Node #3: [4230, 94] from Operation: 64+30=94 Current State: 45:[4230, 94], Operations: ['90*47=4230', '64+30=94'] Exploring Operation: 4230/94=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 80, 92, 94, 26 ]
52
[ "80+92=172", "94+26=120", "172-120=52" ]
Current State: 52:[80, 92, 94, 26], Operations: [] Exploring Operation: 80+92=172, Resulting Numbers: [94, 26, 172] Generated Node #2: [94, 26, 172] from Operation: 80+92=172 Current State: 52:[94, 26, 172], Operations: ['80+92=172'] Exploring Operation: 94+26=120, Resulting Numbers: [172, 120] Generated Node #3: [172, 120] from Operation: 94+26=120 Current State: 52:[172, 120], Operations: ['80+92=172', '94+26=120'] Exploring Operation: 172-120=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 40, 17, 60, 15 ]
85
[ "60-40=20", "20-15=5", "17*5=85" ]
Current State: 85:[40, 17, 60, 15], Operations: [] Exploring Operation: 60-40=20, Resulting Numbers: [17, 15, 20] Generated Node #2: [17, 15, 20] from Operation: 60-40=20 Current State: 85:[17, 15, 20], Operations: ['60-40=20'] Exploring Operation: 20-15=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 20-15=5 Current State: 85:[17, 5], Operations: ['60-40=20', '20-15=5'] Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 77, 14, 84, 97 ]
14
[ "77+14=91", "97-91=6", "84/6=14" ]
Current State: 14:[77, 14, 84, 97], Operations: [] Exploring Operation: 77+14=91, Resulting Numbers: [84, 97, 91] Generated Node #2: [84, 97, 91] from Operation: 77+14=91 Current State: 14:[84, 97, 91], Operations: ['77+14=91'] Exploring Operation: 97-91=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 97-91=6 Current State: 14:[84, 6], Operations: ['77+14=91', '97-91=6'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 2, 7, 96, 24 ]
65
[ "96/2=48", "24-7=17", "48+17=65" ]
Current State: 65:[2, 7, 96, 24], Operations: [] Exploring Operation: 96/2=48, Resulting Numbers: [7, 24, 48] Generated Node #2: [7, 24, 48] from Operation: 96/2=48 Current State: 65:[7, 24, 48], Operations: ['96/2=48'] Exploring Operation: 24-7=17, Resulting Numbers: [48, 17] Generated Node #3: [48, 17] from Operation: 24-7=17 Current State: 65:[48, 17], Operations: ['96/2=48', '24-7=17'] Exploring Operation: 48+17=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 51, 41, 27, 61 ]
78
[ "51-41=10", "27+61=88", "88-10=78" ]
Current State: 78:[51, 41, 27, 61], Operations: [] Exploring Operation: 51-41=10, Resulting Numbers: [27, 61, 10] Generated Node #2: [27, 61, 10] from Operation: 51-41=10 Current State: 78:[27, 61, 10], Operations: ['51-41=10'] Exploring Operation: 27+61=88, Resulting Numbers: [10, 88] Generated Node #3: [10, 88] from Operation: 27+61=88 Current State: 78:[10, 88], Operations: ['51-41=10', '27+61=88'] Exploring Operation: 88-10=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 13, 42, 5, 74 ]
24
[ "13+42=55", "5+74=79", "79-55=24" ]
Current State: 24:[13, 42, 5, 74], Operations: [] Exploring Operation: 13+42=55, Resulting Numbers: [5, 74, 55] Generated Node #2: [5, 74, 55] from Operation: 13+42=55 Current State: 24:[5, 74, 55], Operations: ['13+42=55'] Exploring Operation: 5+74=79, Resulting Numbers: [55, 79] Generated Node #3: [55, 79] from Operation: 5+74=79 Current State: 24:[55, 79], Operations: ['13+42=55', '5+74=79'] Exploring Operation: 79-55=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 2, 10, 47, 85 ]
86
[ "85-47=38", "2*38=76", "10+76=86" ]
Current State: 86:[2, 10, 47, 85], Operations: [] Exploring Operation: 85-47=38, Resulting Numbers: [2, 10, 38] Generated Node #2: [2, 10, 38] from Operation: 85-47=38 Current State: 86:[2, 10, 38], Operations: ['85-47=38'] Exploring Operation: 2*38=76, Resulting Numbers: [10, 76] Generated Node #3: [10, 76] from Operation: 2*38=76 Current State: 86:[10, 76], Operations: ['85-47=38', '2*38=76'] Exploring Operation: 10+76=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 2, 67, 33, 84 ]
17
[ "2*67=134", "33+84=117", "134-117=17" ]
Current State: 17:[2, 67, 33, 84], Operations: [] Exploring Operation: 2*67=134, Resulting Numbers: [33, 84, 134] Generated Node #2: [33, 84, 134] from Operation: 2*67=134 Current State: 17:[33, 84, 134], Operations: ['2*67=134'] Exploring Operation: 33+84=117, Resulting Numbers: [134, 117] Generated Node #3: [134, 117] from Operation: 33+84=117 Current State: 17:[134, 117], Operations: ['2*67=134', '33+84=117'] Exploring Operation: 134-117=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 73, 83, 32, 79 ]
37
[ "83-73=10", "79-32=47", "47-10=37" ]
Current State: 37:[73, 83, 32, 79], Operations: [] Exploring Operation: 83-73=10, Resulting Numbers: [32, 79, 10] Generated Node #2: [32, 79, 10] from Operation: 83-73=10 Current State: 37:[32, 79, 10], Operations: ['83-73=10'] Exploring Operation: 79-32=47, Resulting Numbers: [10, 47] Generated Node #3: [10, 47] from Operation: 79-32=47 Current State: 37:[10, 47], Operations: ['83-73=10', '79-32=47'] Exploring Operation: 47-10=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 85, 46, 34, 84 ]
89
[ "85-46=39", "84-34=50", "39+50=89" ]
Current State: 89:[85, 46, 34, 84], Operations: [] Exploring Operation: 85-46=39, Resulting Numbers: [34, 84, 39] Generated Node #2: [34, 84, 39] from Operation: 85-46=39 Current State: 89:[34, 84, 39], Operations: ['85-46=39'] Exploring Operation: 84-34=50, Resulting Numbers: [39, 50] Generated Node #3: [39, 50] from Operation: 84-34=50 Current State: 89:[39, 50], Operations: ['85-46=39', '84-34=50'] Exploring Operation: 39+50=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 31, 49, 44, 41 ]
15
[ "49-31=18", "44-41=3", "18-3=15" ]
Current State: 15:[31, 49, 44, 41], Operations: [] Exploring Operation: 49-31=18, Resulting Numbers: [44, 41, 18] Generated Node #2: [44, 41, 18] from Operation: 49-31=18 Current State: 15:[44, 41, 18], Operations: ['49-31=18'] Exploring Operation: 44-41=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 44-41=3 Current State: 15:[18, 3], Operations: ['49-31=18', '44-41=3'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 15, 99, 55, 90 ]
61
[ "99-15=84", "55+90=145", "145-84=61" ]
Current State: 61:[15, 99, 55, 90], Operations: [] Exploring Operation: 99-15=84, Resulting Numbers: [55, 90, 84] Generated Node #2: [55, 90, 84] from Operation: 99-15=84 Current State: 61:[55, 90, 84], Operations: ['99-15=84'] Exploring Operation: 55+90=145, Resulting Numbers: [84, 145] Generated Node #3: [84, 145] from Operation: 55+90=145 Current State: 61:[84, 145], Operations: ['99-15=84', '55+90=145'] Exploring Operation: 145-84=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 27, 69, 74, 23 ]
10
[ "27+23=50", "74-69=5", "50/5=10" ]
Current State: 10:[27, 69, 74, 23], Operations: [] Exploring Operation: 27+23=50, Resulting Numbers: [69, 74, 50] Generated Node #2: [69, 74, 50] from Operation: 27+23=50 Current State: 10:[69, 74, 50], Operations: ['27+23=50'] Exploring Operation: 74-69=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 74-69=5 Current State: 10:[50, 5], Operations: ['27+23=50', '74-69=5'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 75, 65, 21, 33 ]
64
[ "75-65=10", "21+33=54", "10+54=64" ]
Current State: 64:[75, 65, 21, 33], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [21, 33, 10] Generated Node #2: [21, 33, 10] from Operation: 75-65=10 Current State: 64:[21, 33, 10], Operations: ['75-65=10'] Exploring Operation: 21+33=54, Resulting Numbers: [10, 54] Generated Node #3: [10, 54] from Operation: 21+33=54 Current State: 64:[10, 54], Operations: ['75-65=10', '21+33=54'] Exploring Operation: 10+54=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 38, 67, 2, 80 ]
22
[ "67-38=29", "2*29=58", "80-58=22" ]
Current State: 22:[38, 67, 2, 80], Operations: [] Exploring Operation: 67-38=29, Resulting Numbers: [2, 80, 29] Generated Node #2: [2, 80, 29] from Operation: 67-38=29 Current State: 22:[2, 80, 29], Operations: ['67-38=29'] Exploring Operation: 2*29=58, Resulting Numbers: [80, 58] Generated Node #3: [80, 58] from Operation: 2*29=58 Current State: 22:[80, 58], Operations: ['67-38=29', '2*29=58'] Exploring Operation: 80-58=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 29, 8, 59, 80 ]
78
[ "29+59=88", "80/8=10", "88-10=78" ]
Current State: 78:[29, 8, 59, 80], Operations: [] Exploring Operation: 29+59=88, Resulting Numbers: [8, 80, 88] Generated Node #2: [8, 80, 88] from Operation: 29+59=88 Current State: 78:[8, 80, 88], Operations: ['29+59=88'] Exploring Operation: 80/8=10, Resulting Numbers: [88, 10] Generated Node #3: [88, 10] from Operation: 80/8=10 Current State: 78:[88, 10], Operations: ['29+59=88', '80/8=10'] Exploring Operation: 88-10=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 37, 47, 6, 35 ]
95
[ "47-37=10", "6*10=60", "35+60=95" ]
Current State: 95:[37, 47, 6, 35], Operations: [] Exploring Operation: 47-37=10, Resulting Numbers: [6, 35, 10] Generated Node #2: [6, 35, 10] from Operation: 47-37=10 Current State: 95:[6, 35, 10], Operations: ['47-37=10'] Exploring Operation: 6*10=60, Resulting Numbers: [35, 60] Generated Node #3: [35, 60] from Operation: 6*10=60 Current State: 95:[35, 60], Operations: ['47-37=10', '6*10=60'] Exploring Operation: 35+60=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 33, 9, 17, 48 ]
89
[ "33-9=24", "17+48=65", "24+65=89" ]
Current State: 89:[33, 9, 17, 48], Operations: [] Exploring Operation: 33-9=24, Resulting Numbers: [17, 48, 24] Generated Node #2: [17, 48, 24] from Operation: 33-9=24 Current State: 89:[17, 48, 24], Operations: ['33-9=24'] Exploring Operation: 17+48=65, Resulting Numbers: [24, 65] Generated Node #3: [24, 65] from Operation: 17+48=65 Current State: 89:[24, 65], Operations: ['33-9=24', '17+48=65'] Exploring Operation: 24+65=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 41, 12, 95, 99 ]
49
[ "41+12=53", "99-95=4", "53-4=49" ]
Current State: 49:[41, 12, 95, 99], Operations: [] Exploring Operation: 41+12=53, Resulting Numbers: [95, 99, 53] Generated Node #2: [95, 99, 53] from Operation: 41+12=53 Current State: 49:[95, 99, 53], Operations: ['41+12=53'] Exploring Operation: 99-95=4, Resulting Numbers: [53, 4] Generated Node #3: [53, 4] from Operation: 99-95=4 Current State: 49:[53, 4], Operations: ['41+12=53', '99-95=4'] Exploring Operation: 53-4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 15, 66, 98, 14 ]
33
[ "66-15=51", "98-14=84", "84-51=33" ]
Current State: 33:[15, 66, 98, 14], Operations: [] Exploring Operation: 66-15=51, Resulting Numbers: [98, 14, 51] Generated Node #2: [98, 14, 51] from Operation: 66-15=51 Current State: 33:[98, 14, 51], Operations: ['66-15=51'] Exploring Operation: 98-14=84, Resulting Numbers: [51, 84] Generated Node #3: [51, 84] from Operation: 98-14=84 Current State: 33:[51, 84], Operations: ['66-15=51', '98-14=84'] Exploring Operation: 84-51=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 54, 16, 20, 22 ]
46
[ "22-20=2", "16/2=8", "54-8=46" ]
Current State: 46:[54, 16, 20, 22], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [54, 16, 2] Generated Node #2: [54, 16, 2] from Operation: 22-20=2 Current State: 46:[54, 16, 2], Operations: ['22-20=2'] Exploring Operation: 16/2=8, Resulting Numbers: [54, 8] Generated Node #3: [54, 8] from Operation: 16/2=8 Current State: 46:[54, 8], Operations: ['22-20=2', '16/2=8'] Exploring Operation: 54-8=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 25, 71, 90, 75 ]
61
[ "71-25=46", "90-75=15", "46+15=61" ]
Current State: 61:[25, 71, 90, 75], Operations: [] Exploring Operation: 71-25=46, Resulting Numbers: [90, 75, 46] Generated Node #2: [90, 75, 46] from Operation: 71-25=46 Current State: 61:[90, 75, 46], Operations: ['71-25=46'] Exploring Operation: 90-75=15, Resulting Numbers: [46, 15] Generated Node #3: [46, 15] from Operation: 90-75=15 Current State: 61:[46, 15], Operations: ['71-25=46', '90-75=15'] Exploring Operation: 46+15=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 66, 18, 33, 78 ]
27
[ "66+18=84", "33+78=111", "111-84=27" ]
Current State: 27:[66, 18, 33, 78], Operations: [] Exploring Operation: 66+18=84, Resulting Numbers: [33, 78, 84] Generated Node #2: [33, 78, 84] from Operation: 66+18=84 Current State: 27:[33, 78, 84], Operations: ['66+18=84'] Exploring Operation: 33+78=111, Resulting Numbers: [84, 111] Generated Node #3: [84, 111] from Operation: 33+78=111 Current State: 27:[84, 111], Operations: ['66+18=84', '33+78=111'] Exploring Operation: 111-84=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 73, 63, 21, 15 ]
100
[ "73+63=136", "21+15=36", "136-36=100" ]
Current State: 100:[73, 63, 21, 15], Operations: [] Exploring Operation: 73+63=136, Resulting Numbers: [21, 15, 136] Generated Node #2: [21, 15, 136] from Operation: 73+63=136 Current State: 100:[21, 15, 136], Operations: ['73+63=136'] Exploring Operation: 21+15=36, Resulting Numbers: [136, 36] Generated Node #3: [136, 36] from Operation: 21+15=36 Current State: 100:[136, 36], Operations: ['73+63=136', '21+15=36'] Exploring Operation: 136-36=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4