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
[ 30, 51, 21, 34 ]
35
[ "51-30=21", "21/21=1", "34+1=35" ]
Current State: 35:[30, 51, 21, 34], Operations: [] Exploring Operation: 51-30=21, Resulting Numbers: [21, 34, 21] Generated Node #2: [21, 34, 21] from Operation: 51-30=21 Current State: 35:[21, 34, 21], Operations: ['51-30=21'] Exploring Operation: 21/21=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 21/21=1 Current State: 35:[34, 1], Operations: ['51-30=21', '21/21=1'] Exploring Operation: 34+1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 31, 91, 54, 8 ]
89
[ "54+8=62", "62/31=2", "91-2=89" ]
Current State: 89:[31, 91, 54, 8], Operations: [] Exploring Operation: 54+8=62, Resulting Numbers: [31, 91, 62] Generated Node #2: [31, 91, 62] from Operation: 54+8=62 Current State: 89:[31, 91, 62], Operations: ['54+8=62'] Exploring Operation: 62/31=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 62/31=2 Current State: 89:[91, 2], Operations: ['54+8=62', '62/31=2'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 16, 57, 42, 33 ]
19
[ "57+42=99", "99/33=3", "16+3=19" ]
Current State: 19:[16, 57, 42, 33], Operations: [] Exploring Operation: 57+42=99, Resulting Numbers: [16, 33, 99] Generated Node #2: [16, 33, 99] from Operation: 57+42=99 Current State: 19:[16, 33, 99], Operations: ['57+42=99'] Exploring Operation: 99/33=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 99/33=3 Current State: 19:[16, 3], Operations: ['57+42=99', '99/33=3'] Exploring Operation: 16+3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 68, 79, 29, 87 ]
47
[ "79-68=11", "87-29=58", "58-11=47" ]
Current State: 47:[68, 79, 29, 87], Operations: [] Exploring Operation: 79-68=11, Resulting Numbers: [29, 87, 11] Generated Node #2: [29, 87, 11] from Operation: 79-68=11 Current State: 47:[29, 87, 11], Operations: ['79-68=11'] Exploring Operation: 87-29=58, Resulting Numbers: [11, 58] Generated Node #3: [11, 58] from Operation: 87-29=58 Current State: 47:[11, 58], Operations: ['79-68=11', '87-29=58'] Exploring Operation: 58-11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 91, 86, 61, 77 ]
21
[ "91-86=5", "77-61=16", "5+16=21" ]
Current State: 21:[91, 86, 61, 77], Operations: [] Exploring Operation: 91-86=5, Resulting Numbers: [61, 77, 5] Generated Node #2: [61, 77, 5] from Operation: 91-86=5 Current State: 21:[61, 77, 5], Operations: ['91-86=5'] Exploring Operation: 77-61=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 77-61=16 Current State: 21:[5, 16], Operations: ['91-86=5', '77-61=16'] Exploring Operation: 5+16=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 42, 94, 53, 24 ]
59
[ "42+94=136", "53+24=77", "136-77=59" ]
Current State: 59:[42, 94, 53, 24], Operations: [] Exploring Operation: 42+94=136, Resulting Numbers: [53, 24, 136] Generated Node #2: [53, 24, 136] from Operation: 42+94=136 Current State: 59:[53, 24, 136], Operations: ['42+94=136'] Exploring Operation: 53+24=77, Resulting Numbers: [136, 77] Generated Node #3: [136, 77] from Operation: 53+24=77 Current State: 59:[136, 77], Operations: ['42+94=136', '53+24=77'] Exploring Operation: 136-77=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 84, 2, 93, 22 ]
40
[ "93-84=9", "2*9=18", "22+18=40" ]
Current State: 40:[84, 2, 93, 22], Operations: [] Exploring Operation: 93-84=9, Resulting Numbers: [2, 22, 9] Generated Node #2: [2, 22, 9] from Operation: 93-84=9 Current State: 40:[2, 22, 9], Operations: ['93-84=9'] Exploring Operation: 2*9=18, Resulting Numbers: [22, 18] Generated Node #3: [22, 18] from Operation: 2*9=18 Current State: 40:[22, 18], Operations: ['93-84=9', '2*9=18'] Exploring Operation: 22+18=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 27, 46, 24, 16 ]
94
[ "27-24=3", "16*3=48", "46+48=94" ]
Current State: 94:[27, 46, 24, 16], Operations: [] Exploring Operation: 27-24=3, Resulting Numbers: [46, 16, 3] Generated Node #2: [46, 16, 3] from Operation: 27-24=3 Current State: 94:[46, 16, 3], Operations: ['27-24=3'] Exploring Operation: 16*3=48, Resulting Numbers: [46, 48] Generated Node #3: [46, 48] from Operation: 16*3=48 Current State: 94:[46, 48], Operations: ['27-24=3', '16*3=48'] Exploring Operation: 46+48=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 4, 39, 93, 96 ]
33
[ "4*39=156", "93+96=189", "189-156=33" ]
Current State: 33:[4, 39, 93, 96], Operations: [] Exploring Operation: 4*39=156, Resulting Numbers: [93, 96, 156] Generated Node #2: [93, 96, 156] from Operation: 4*39=156 Current State: 33:[93, 96, 156], Operations: ['4*39=156'] Exploring Operation: 93+96=189, Resulting Numbers: [156, 189] Generated Node #3: [156, 189] from Operation: 93+96=189 Current State: 33:[156, 189], Operations: ['4*39=156', '93+96=189'] Exploring Operation: 189-156=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 96, 64, 36, 76 ]
52
[ "64*36=2304", "2304/96=24", "76-24=52" ]
Current State: 52:[96, 64, 36, 76], Operations: [] Exploring Operation: 64*36=2304, Resulting Numbers: [96, 76, 2304] Generated Node #2: [96, 76, 2304] from Operation: 64*36=2304 Current State: 52:[96, 76, 2304], Operations: ['64*36=2304'] Exploring Operation: 2304/96=24, Resulting Numbers: [76, 24] Generated Node #3: [76, 24] from Operation: 2304/96=24 Current State: 52:[76, 24], Operations: ['64*36=2304', '2304/96=24'] Exploring Operation: 76-24=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 43, 42, 23, 28 ]
52
[ "43-42=1", "23+28=51", "1+51=52" ]
Current State: 52:[43, 42, 23, 28], Operations: [] Exploring Operation: 43-42=1, Resulting Numbers: [23, 28, 1] Generated Node #2: [23, 28, 1] from Operation: 43-42=1 Current State: 52:[23, 28, 1], Operations: ['43-42=1'] Exploring Operation: 23+28=51, Resulting Numbers: [1, 51] Generated Node #3: [1, 51] from Operation: 23+28=51 Current State: 52:[1, 51], Operations: ['43-42=1', '23+28=51'] Exploring Operation: 1+51=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 68, 90, 10, 81 ]
93
[ "90-68=22", "81-10=71", "22+71=93" ]
Current State: 93:[68, 90, 10, 81], Operations: [] Exploring Operation: 90-68=22, Resulting Numbers: [10, 81, 22] Generated Node #2: [10, 81, 22] from Operation: 90-68=22 Current State: 93:[10, 81, 22], Operations: ['90-68=22'] Exploring Operation: 81-10=71, Resulting Numbers: [22, 71] Generated Node #3: [22, 71] from Operation: 81-10=71 Current State: 93:[22, 71], Operations: ['90-68=22', '81-10=71'] Exploring Operation: 22+71=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 88, 99, 65, 52 ]
24
[ "99-88=11", "65-52=13", "11+13=24" ]
Current State: 24:[88, 99, 65, 52], Operations: [] Exploring Operation: 99-88=11, Resulting Numbers: [65, 52, 11] Generated Node #2: [65, 52, 11] from Operation: 99-88=11 Current State: 24:[65, 52, 11], Operations: ['99-88=11'] Exploring Operation: 65-52=13, Resulting Numbers: [11, 13] Generated Node #3: [11, 13] from Operation: 65-52=13 Current State: 24:[11, 13], Operations: ['99-88=11', '65-52=13'] Exploring Operation: 11+13=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 72, 16, 7, 39 ]
79
[ "72-39=33", "16*7=112", "112-33=79" ]
Current State: 79:[72, 16, 7, 39], Operations: [] Exploring Operation: 72-39=33, Resulting Numbers: [16, 7, 33] Generated Node #2: [16, 7, 33] from Operation: 72-39=33 Current State: 79:[16, 7, 33], Operations: ['72-39=33'] Exploring Operation: 16*7=112, Resulting Numbers: [33, 112] Generated Node #3: [33, 112] from Operation: 16*7=112 Current State: 79:[33, 112], Operations: ['72-39=33', '16*7=112'] Exploring Operation: 112-33=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 70, 91, 18, 36 ]
33
[ "91-70=21", "18+36=54", "54-21=33" ]
Current State: 33:[70, 91, 18, 36], Operations: [] Exploring Operation: 91-70=21, Resulting Numbers: [18, 36, 21] Generated Node #2: [18, 36, 21] from Operation: 91-70=21 Current State: 33:[18, 36, 21], Operations: ['91-70=21'] Exploring Operation: 18+36=54, Resulting Numbers: [21, 54] Generated Node #3: [21, 54] from Operation: 18+36=54 Current State: 33:[21, 54], Operations: ['91-70=21', '18+36=54'] Exploring Operation: 54-21=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 8, 96, 78, 47 ]
98
[ "47-8=39", "78/39=2", "96+2=98" ]
Current State: 98:[8, 96, 78, 47], Operations: [] Exploring Operation: 47-8=39, Resulting Numbers: [96, 78, 39] Generated Node #2: [96, 78, 39] from Operation: 47-8=39 Current State: 98:[96, 78, 39], Operations: ['47-8=39'] Exploring Operation: 78/39=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 78/39=2 Current State: 98:[96, 2], Operations: ['47-8=39', '78/39=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 3, 27, 98, 18 ]
50
[ "3+27=30", "98-18=80", "80-30=50" ]
Current State: 50:[3, 27, 98, 18], Operations: [] Exploring Operation: 3+27=30, Resulting Numbers: [98, 18, 30] Generated Node #2: [98, 18, 30] from Operation: 3+27=30 Current State: 50:[98, 18, 30], Operations: ['3+27=30'] Exploring Operation: 98-18=80, Resulting Numbers: [30, 80] Generated Node #3: [30, 80] from Operation: 98-18=80 Current State: 50:[30, 80], Operations: ['3+27=30', '98-18=80'] Exploring Operation: 80-30=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 94, 85, 67, 78 ]
20
[ "94-85=9", "78-67=11", "9+11=20" ]
Current State: 20:[94, 85, 67, 78], Operations: [] Exploring Operation: 94-85=9, Resulting Numbers: [67, 78, 9] Generated Node #2: [67, 78, 9] from Operation: 94-85=9 Current State: 20:[67, 78, 9], Operations: ['94-85=9'] Exploring Operation: 78-67=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 78-67=11 Current State: 20:[9, 11], Operations: ['94-85=9', '78-67=11'] Exploring Operation: 9+11=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 52, 79, 3, 83 ]
45
[ "52+79=131", "3+83=86", "131-86=45" ]
Current State: 45:[52, 79, 3, 83], Operations: [] Exploring Operation: 52+79=131, Resulting Numbers: [3, 83, 131] Generated Node #2: [3, 83, 131] from Operation: 52+79=131 Current State: 45:[3, 83, 131], Operations: ['52+79=131'] Exploring Operation: 3+83=86, Resulting Numbers: [131, 86] Generated Node #3: [131, 86] from Operation: 3+83=86 Current State: 45:[131, 86], Operations: ['52+79=131', '3+83=86'] Exploring Operation: 131-86=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 1, 4, 59, 65 ]
20
[ "1+59=60", "65-60=5", "4*5=20" ]
Current State: 20:[1, 4, 59, 65], Operations: [] Exploring Operation: 1+59=60, Resulting Numbers: [4, 65, 60] Generated Node #2: [4, 65, 60] from Operation: 1+59=60 Current State: 20:[4, 65, 60], Operations: ['1+59=60'] Exploring Operation: 65-60=5, Resulting Numbers: [4, 5] Generated Node #3: [4, 5] from Operation: 65-60=5 Current State: 20:[4, 5], Operations: ['1+59=60', '65-60=5'] Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 4, 64, 58, 37 ]
39
[ "64-4=60", "58-37=21", "60-21=39" ]
Current State: 39:[4, 64, 58, 37], Operations: [] Exploring Operation: 64-4=60, Resulting Numbers: [58, 37, 60] Generated Node #2: [58, 37, 60] from Operation: 64-4=60 Current State: 39:[58, 37, 60], Operations: ['64-4=60'] Exploring Operation: 58-37=21, Resulting Numbers: [60, 21] Generated Node #3: [60, 21] from Operation: 58-37=21 Current State: 39:[60, 21], Operations: ['64-4=60', '58-37=21'] Exploring Operation: 60-21=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 24, 5, 93, 81 ]
72
[ "24+81=105", "105/5=21", "93-21=72" ]
Current State: 72:[24, 5, 93, 81], Operations: [] Exploring Operation: 24+81=105, Resulting Numbers: [5, 93, 105] Generated Node #2: [5, 93, 105] from Operation: 24+81=105 Current State: 72:[5, 93, 105], Operations: ['24+81=105'] Exploring Operation: 105/5=21, Resulting Numbers: [93, 21] Generated Node #3: [93, 21] from Operation: 105/5=21 Current State: 72:[93, 21], Operations: ['24+81=105', '105/5=21'] Exploring Operation: 93-21=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 47, 51, 90, 51 ]
47
[ "51-51=0", "90*0=0", "47+0=47" ]
Current State: 47:[47, 51, 90, 51], Operations: [] Exploring Operation: 51-51=0, Resulting Numbers: [47, 90, 0] Generated Node #2: [47, 90, 0] from Operation: 51-51=0 Current State: 47:[47, 90, 0], Operations: ['51-51=0'] Exploring Operation: 90*0=0, Resulting Numbers: [47, 0] Generated Node #3: [47, 0] from Operation: 90*0=0 Current State: 47:[47, 0], Operations: ['51-51=0', '90*0=0'] Exploring Operation: 47+0=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 79, 54, 16, 4 ]
36
[ "79-54=25", "25-16=9", "4*9=36" ]
Current State: 36:[79, 54, 16, 4], Operations: [] Exploring Operation: 79-54=25, Resulting Numbers: [16, 4, 25] Generated Node #2: [16, 4, 25] from Operation: 79-54=25 Current State: 36:[16, 4, 25], Operations: ['79-54=25'] Exploring Operation: 25-16=9, Resulting Numbers: [4, 9] Generated Node #3: [4, 9] from Operation: 25-16=9 Current State: 36:[4, 9], Operations: ['79-54=25', '25-16=9'] Exploring Operation: 4*9=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 90, 59, 21, 16 ]
95
[ "59+21=80", "80/16=5", "90+5=95" ]
Current State: 95:[90, 59, 21, 16], Operations: [] Exploring Operation: 59+21=80, Resulting Numbers: [90, 16, 80] Generated Node #2: [90, 16, 80] from Operation: 59+21=80 Current State: 95:[90, 16, 80], Operations: ['59+21=80'] Exploring Operation: 80/16=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 80/16=5 Current State: 95:[90, 5], Operations: ['59+21=80', '80/16=5'] Exploring Operation: 90+5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 15, 68, 71, 38 ]
50
[ "15+68=83", "71-38=33", "83-33=50" ]
Current State: 50:[15, 68, 71, 38], Operations: [] Exploring Operation: 15+68=83, Resulting Numbers: [71, 38, 83] Generated Node #2: [71, 38, 83] from Operation: 15+68=83 Current State: 50:[71, 38, 83], Operations: ['15+68=83'] Exploring Operation: 71-38=33, Resulting Numbers: [83, 33] Generated Node #3: [83, 33] from Operation: 71-38=33 Current State: 50:[83, 33], Operations: ['15+68=83', '71-38=33'] Exploring Operation: 83-33=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 88, 58, 50, 54 ]
86
[ "58+50=108", "108/54=2", "88-2=86" ]
Current State: 86:[88, 58, 50, 54], Operations: [] Exploring Operation: 58+50=108, Resulting Numbers: [88, 54, 108] Generated Node #2: [88, 54, 108] from Operation: 58+50=108 Current State: 86:[88, 54, 108], Operations: ['58+50=108'] Exploring Operation: 108/54=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 108/54=2 Current State: 86:[88, 2], Operations: ['58+50=108', '108/54=2'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 53, 61, 14, 65 ]
62
[ "61+65=126", "126/14=9", "53+9=62" ]
Current State: 62:[53, 61, 14, 65], Operations: [] Exploring Operation: 61+65=126, Resulting Numbers: [53, 14, 126] Generated Node #2: [53, 14, 126] from Operation: 61+65=126 Current State: 62:[53, 14, 126], Operations: ['61+65=126'] Exploring Operation: 126/14=9, Resulting Numbers: [53, 9] Generated Node #3: [53, 9] from Operation: 126/14=9 Current State: 62:[53, 9], Operations: ['61+65=126', '126/14=9'] Exploring Operation: 53+9=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 7, 87, 93, 98 ]
20
[ "98/7=14", "93-87=6", "14+6=20" ]
Current State: 20:[7, 87, 93, 98], Operations: [] Exploring Operation: 98/7=14, Resulting Numbers: [87, 93, 14] Generated Node #2: [87, 93, 14] from Operation: 98/7=14 Current State: 20:[87, 93, 14], Operations: ['98/7=14'] Exploring Operation: 93-87=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 93-87=6 Current State: 20:[14, 6], Operations: ['98/7=14', '93-87=6'] Exploring Operation: 14+6=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 39, 45, 69, 26 ]
39
[ "39*45=1755", "69*26=1794", "1794-1755=39" ]
Current State: 39:[39, 45, 69, 26], Operations: [] Exploring Operation: 39*45=1755, Resulting Numbers: [69, 26, 1755] Generated Node #2: [69, 26, 1755] from Operation: 39*45=1755 Current State: 39:[69, 26, 1755], Operations: ['39*45=1755'] Exploring Operation: 69*26=1794, Resulting Numbers: [1755, 1794] Generated Node #3: [1755, 1794] from Operation: 69*26=1794 Current State: 39:[1755, 1794], Operations: ['39*45=1755', '69*26=1794'] Exploring Operation: 1794-1755=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 56, 69, 7, 7 ]
27
[ "69-56=13", "7+7=14", "13+14=27" ]
Current State: 27:[56, 69, 7, 7], Operations: [] Exploring Operation: 69-56=13, Resulting Numbers: [7, 7, 13] Generated Node #2: [7, 7, 13] from Operation: 69-56=13 Current State: 27:[7, 7, 13], Operations: ['69-56=13'] Exploring Operation: 7+7=14, Resulting Numbers: [13, 14] Generated Node #3: [13, 14] from Operation: 7+7=14 Current State: 27:[13, 14], Operations: ['69-56=13', '7+7=14'] Exploring Operation: 13+14=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 66, 31, 35, 54 ]
53
[ "66-31=35", "35/35=1", "54-1=53" ]
Current State: 53:[66, 31, 35, 54], Operations: [] Exploring Operation: 66-31=35, Resulting Numbers: [35, 54, 35] Generated Node #2: [35, 54, 35] from Operation: 66-31=35 Current State: 53:[35, 54, 35], Operations: ['66-31=35'] Exploring Operation: 35/35=1, Resulting Numbers: [54, 1] Generated Node #3: [54, 1] from Operation: 35/35=1 Current State: 53:[54, 1], Operations: ['66-31=35', '35/35=1'] Exploring Operation: 54-1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 58, 29, 50 ]
82
[ "3+58=61", "50-29=21", "61+21=82" ]
Current State: 82:[3, 58, 29, 50], Operations: [] Exploring Operation: 3+58=61, Resulting Numbers: [29, 50, 61] Generated Node #2: [29, 50, 61] from Operation: 3+58=61 Current State: 82:[29, 50, 61], Operations: ['3+58=61'] Exploring Operation: 50-29=21, Resulting Numbers: [61, 21] Generated Node #3: [61, 21] from Operation: 50-29=21 Current State: 82:[61, 21], Operations: ['3+58=61', '50-29=21'] Exploring Operation: 61+21=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 26, 12, 72, 10 ]
18
[ "26-12=14", "14-10=4", "72/4=18" ]
Current State: 18:[26, 12, 72, 10], Operations: [] Exploring Operation: 26-12=14, Resulting Numbers: [72, 10, 14] Generated Node #2: [72, 10, 14] from Operation: 26-12=14 Current State: 18:[72, 10, 14], Operations: ['26-12=14'] Exploring Operation: 14-10=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 14-10=4 Current State: 18:[72, 4], Operations: ['26-12=14', '14-10=4'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 30, 73, 27, 51 ]
56
[ "30-27=3", "51/3=17", "73-17=56" ]
Current State: 56:[30, 73, 27, 51], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [73, 51, 3] Generated Node #2: [73, 51, 3] from Operation: 30-27=3 Current State: 56:[73, 51, 3], Operations: ['30-27=3'] Exploring Operation: 51/3=17, Resulting Numbers: [73, 17] Generated Node #3: [73, 17] from Operation: 51/3=17 Current State: 56:[73, 17], Operations: ['30-27=3', '51/3=17'] Exploring Operation: 73-17=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 72, 63, 57, 48 ]
80
[ "63+57=120", "48*120=5760", "5760/72=80" ]
Current State: 80:[72, 63, 57, 48], Operations: [] Exploring Operation: 63+57=120, Resulting Numbers: [72, 48, 120] Generated Node #2: [72, 48, 120] from Operation: 63+57=120 Current State: 80:[72, 48, 120], Operations: ['63+57=120'] Exploring Operation: 48*120=5760, Resulting Numbers: [72, 5760] Generated Node #3: [72, 5760] from Operation: 48*120=5760 Current State: 80:[72, 5760], Operations: ['63+57=120', '48*120=5760'] Exploring Operation: 5760/72=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 43, 65, 91, 62 ]
79
[ "43+65=108", "91-62=29", "108-29=79" ]
Current State: 79:[43, 65, 91, 62], Operations: [] Exploring Operation: 43+65=108, Resulting Numbers: [91, 62, 108] Generated Node #2: [91, 62, 108] from Operation: 43+65=108 Current State: 79:[91, 62, 108], Operations: ['43+65=108'] Exploring Operation: 91-62=29, Resulting Numbers: [108, 29] Generated Node #3: [108, 29] from Operation: 91-62=29 Current State: 79:[108, 29], Operations: ['43+65=108', '91-62=29'] Exploring Operation: 108-29=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 6, 66, 3, 5 ]
68
[ "66-6=60", "3+5=8", "60+8=68" ]
Current State: 68:[6, 66, 3, 5], Operations: [] Exploring Operation: 66-6=60, Resulting Numbers: [3, 5, 60] Generated Node #2: [3, 5, 60] from Operation: 66-6=60 Current State: 68:[3, 5, 60], Operations: ['66-6=60'] Exploring Operation: 3+5=8, Resulting Numbers: [60, 8] Generated Node #3: [60, 8] from Operation: 3+5=8 Current State: 68:[60, 8], Operations: ['66-6=60', '3+5=8'] Exploring Operation: 60+8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 42, 60, 31, 12 ]
16
[ "42-31=11", "60/12=5", "11+5=16" ]
Current State: 16:[42, 60, 31, 12], Operations: [] Exploring Operation: 42-31=11, Resulting Numbers: [60, 12, 11] Generated Node #2: [60, 12, 11] from Operation: 42-31=11 Current State: 16:[60, 12, 11], Operations: ['42-31=11'] Exploring Operation: 60/12=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 60/12=5 Current State: 16:[11, 5], Operations: ['42-31=11', '60/12=5'] Exploring Operation: 11+5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 4, 51, 86, 6 ]
36
[ "4+86=90", "90/6=15", "51-15=36" ]
Current State: 36:[4, 51, 86, 6], Operations: [] Exploring Operation: 4+86=90, Resulting Numbers: [51, 6, 90] Generated Node #2: [51, 6, 90] from Operation: 4+86=90 Current State: 36:[51, 6, 90], Operations: ['4+86=90'] Exploring Operation: 90/6=15, Resulting Numbers: [51, 15] Generated Node #3: [51, 15] from Operation: 90/6=15 Current State: 36:[51, 15], Operations: ['4+86=90', '90/6=15'] Exploring Operation: 51-15=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 75, 29, 91, 99 ]
13
[ "75+29=104", "99-91=8", "104/8=13" ]
Current State: 13:[75, 29, 91, 99], Operations: [] Exploring Operation: 75+29=104, Resulting Numbers: [91, 99, 104] Generated Node #2: [91, 99, 104] from Operation: 75+29=104 Current State: 13:[91, 99, 104], Operations: ['75+29=104'] Exploring Operation: 99-91=8, Resulting Numbers: [104, 8] Generated Node #3: [104, 8] from Operation: 99-91=8 Current State: 13:[104, 8], Operations: ['75+29=104', '99-91=8'] Exploring Operation: 104/8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 13, 2, 11, 14 ]
21
[ "14-13=1", "2*11=22", "22-1=21" ]
Current State: 21:[13, 2, 11, 14], Operations: [] Exploring Operation: 14-13=1, Resulting Numbers: [2, 11, 1] Generated Node #2: [2, 11, 1] from Operation: 14-13=1 Current State: 21:[2, 11, 1], Operations: ['14-13=1'] Exploring Operation: 2*11=22, Resulting Numbers: [1, 22] Generated Node #3: [1, 22] from Operation: 2*11=22 Current State: 21:[1, 22], Operations: ['14-13=1', '2*11=22'] Exploring Operation: 22-1=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 89, 98, 17, 6 ]
93
[ "98-89=9", "17*6=102", "102-9=93" ]
Current State: 93:[89, 98, 17, 6], Operations: [] Exploring Operation: 98-89=9, Resulting Numbers: [17, 6, 9] Generated Node #2: [17, 6, 9] from Operation: 98-89=9 Current State: 93:[17, 6, 9], Operations: ['98-89=9'] Exploring Operation: 17*6=102, Resulting Numbers: [9, 102] Generated Node #3: [9, 102] from Operation: 17*6=102 Current State: 93:[9, 102], Operations: ['98-89=9', '17*6=102'] Exploring Operation: 102-9=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 47, 93, 29, 62 ]
12
[ "47-29=18", "62*18=1116", "1116/93=12" ]
Current State: 12:[47, 93, 29, 62], Operations: [] Exploring Operation: 47-29=18, Resulting Numbers: [93, 62, 18] Generated Node #2: [93, 62, 18] from Operation: 47-29=18 Current State: 12:[93, 62, 18], Operations: ['47-29=18'] Exploring Operation: 62*18=1116, Resulting Numbers: [93, 1116] Generated Node #3: [93, 1116] from Operation: 62*18=1116 Current State: 12:[93, 1116], Operations: ['47-29=18', '62*18=1116'] Exploring Operation: 1116/93=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 27, 33, 30, 68 ]
38
[ "27+33=60", "30+68=98", "98-60=38" ]
Current State: 38:[27, 33, 30, 68], Operations: [] Exploring Operation: 27+33=60, Resulting Numbers: [30, 68, 60] Generated Node #2: [30, 68, 60] from Operation: 27+33=60 Current State: 38:[30, 68, 60], Operations: ['27+33=60'] Exploring Operation: 30+68=98, Resulting Numbers: [60, 98] Generated Node #3: [60, 98] from Operation: 30+68=98 Current State: 38:[60, 98], Operations: ['27+33=60', '30+68=98'] Exploring Operation: 98-60=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 50, 84, 80, 16 ]
62
[ "84-50=34", "80+16=96", "96-34=62" ]
Current State: 62:[50, 84, 80, 16], Operations: [] Exploring Operation: 84-50=34, Resulting Numbers: [80, 16, 34] Generated Node #2: [80, 16, 34] from Operation: 84-50=34 Current State: 62:[80, 16, 34], Operations: ['84-50=34'] Exploring Operation: 80+16=96, Resulting Numbers: [34, 96] Generated Node #3: [34, 96] from Operation: 80+16=96 Current State: 62:[34, 96], Operations: ['84-50=34', '80+16=96'] Exploring Operation: 96-34=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 96, 22, 97, 50 ]
28
[ "97-96=1", "50-22=28", "1*28=28" ]
Current State: 28:[96, 22, 97, 50], Operations: [] Exploring Operation: 97-96=1, Resulting Numbers: [22, 50, 1] Generated Node #2: [22, 50, 1] from Operation: 97-96=1 Current State: 28:[22, 50, 1], Operations: ['97-96=1'] Exploring Operation: 50-22=28, Resulting Numbers: [1, 28] Generated Node #3: [1, 28] from Operation: 50-22=28 Current State: 28:[1, 28], Operations: ['97-96=1', '50-22=28'] Exploring Operation: 1*28=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 70, 73, 78, 9 ]
17
[ "73-70=3", "78/3=26", "26-9=17" ]
Current State: 17:[70, 73, 78, 9], Operations: [] Exploring Operation: 73-70=3, Resulting Numbers: [78, 9, 3] Generated Node #2: [78, 9, 3] from Operation: 73-70=3 Current State: 17:[78, 9, 3], Operations: ['73-70=3'] Exploring Operation: 78/3=26, Resulting Numbers: [9, 26] Generated Node #3: [9, 26] from Operation: 78/3=26 Current State: 17:[9, 26], Operations: ['73-70=3', '78/3=26'] Exploring Operation: 26-9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 72, 34, 6, 2 ]
61
[ "72+6=78", "34/2=17", "78-17=61" ]
Current State: 61:[72, 34, 6, 2], Operations: [] Exploring Operation: 72+6=78, Resulting Numbers: [34, 2, 78] Generated Node #2: [34, 2, 78] from Operation: 72+6=78 Current State: 61:[34, 2, 78], Operations: ['72+6=78'] Exploring Operation: 34/2=17, Resulting Numbers: [78, 17] Generated Node #3: [78, 17] from Operation: 34/2=17 Current State: 61:[78, 17], Operations: ['72+6=78', '34/2=17'] Exploring Operation: 78-17=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 2, 58, 97, 79 ]
30
[ "97+79=176", "176/2=88", "88-58=30" ]
Current State: 30:[2, 58, 97, 79], Operations: [] Exploring Operation: 97+79=176, Resulting Numbers: [2, 58, 176] Generated Node #2: [2, 58, 176] from Operation: 97+79=176 Current State: 30:[2, 58, 176], Operations: ['97+79=176'] Exploring Operation: 176/2=88, Resulting Numbers: [58, 88] Generated Node #3: [58, 88] from Operation: 176/2=88 Current State: 30:[58, 88], Operations: ['97+79=176', '176/2=88'] Exploring Operation: 88-58=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 15, 71, 22, 63 ]
62
[ "22-15=7", "63/7=9", "71-9=62" ]
Current State: 62:[15, 71, 22, 63], Operations: [] Exploring Operation: 22-15=7, Resulting Numbers: [71, 63, 7] Generated Node #2: [71, 63, 7] from Operation: 22-15=7 Current State: 62:[71, 63, 7], Operations: ['22-15=7'] Exploring Operation: 63/7=9, Resulting Numbers: [71, 9] Generated Node #3: [71, 9] from Operation: 63/7=9 Current State: 62:[71, 9], Operations: ['22-15=7', '63/7=9'] Exploring Operation: 71-9=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 3, 32, 2, 76 ]
10
[ "3*32=96", "96-76=20", "20/2=10" ]
Current State: 10:[3, 32, 2, 76], Operations: [] Exploring Operation: 3*32=96, Resulting Numbers: [2, 76, 96] Generated Node #2: [2, 76, 96] from Operation: 3*32=96 Current State: 10:[2, 76, 96], Operations: ['3*32=96'] Exploring Operation: 96-76=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 96-76=20 Current State: 10:[2, 20], Operations: ['3*32=96', '96-76=20'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 16, 70, 21, 57 ]
90
[ "70-16=54", "57-21=36", "54+36=90" ]
Current State: 90:[16, 70, 21, 57], Operations: [] Exploring Operation: 70-16=54, Resulting Numbers: [21, 57, 54] Generated Node #2: [21, 57, 54] from Operation: 70-16=54 Current State: 90:[21, 57, 54], Operations: ['70-16=54'] Exploring Operation: 57-21=36, Resulting Numbers: [54, 36] Generated Node #3: [54, 36] from Operation: 57-21=36 Current State: 90:[54, 36], Operations: ['70-16=54', '57-21=36'] Exploring Operation: 54+36=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 86, 43, 77, 12 ]
63
[ "86/43=2", "77-12=65", "65-2=63" ]
Current State: 63:[86, 43, 77, 12], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [77, 12, 2] Generated Node #2: [77, 12, 2] from Operation: 86/43=2 Current State: 63:[77, 12, 2], Operations: ['86/43=2'] Exploring Operation: 77-12=65, Resulting Numbers: [2, 65] Generated Node #3: [2, 65] from Operation: 77-12=65 Current State: 63:[2, 65], Operations: ['86/43=2', '77-12=65'] Exploring Operation: 65-2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 55, 2, 7, 20 ]
84
[ "55+2=57", "7+20=27", "57+27=84" ]
Current State: 84:[55, 2, 7, 20], Operations: [] Exploring Operation: 55+2=57, Resulting Numbers: [7, 20, 57] Generated Node #2: [7, 20, 57] from Operation: 55+2=57 Current State: 84:[7, 20, 57], Operations: ['55+2=57'] Exploring Operation: 7+20=27, Resulting Numbers: [57, 27] Generated Node #3: [57, 27] from Operation: 7+20=27 Current State: 84:[57, 27], Operations: ['55+2=57', '7+20=27'] Exploring Operation: 57+27=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 34, 19, 1, 38 ]
24
[ "34-19=15", "1+38=39", "39-15=24" ]
Current State: 24:[34, 19, 1, 38], Operations: [] Exploring Operation: 34-19=15, Resulting Numbers: [1, 38, 15] Generated Node #2: [1, 38, 15] from Operation: 34-19=15 Current State: 24:[1, 38, 15], Operations: ['34-19=15'] Exploring Operation: 1+38=39, Resulting Numbers: [15, 39] Generated Node #3: [15, 39] from Operation: 1+38=39 Current State: 24:[15, 39], Operations: ['34-19=15', '1+38=39'] Exploring Operation: 39-15=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 8, 64, 28, 78 ]
34
[ "8+64=72", "28+78=106", "106-72=34" ]
Current State: 34:[8, 64, 28, 78], Operations: [] Exploring Operation: 8+64=72, Resulting Numbers: [28, 78, 72] Generated Node #2: [28, 78, 72] from Operation: 8+64=72 Current State: 34:[28, 78, 72], Operations: ['8+64=72'] Exploring Operation: 28+78=106, Resulting Numbers: [72, 106] Generated Node #3: [72, 106] from Operation: 28+78=106 Current State: 34:[72, 106], Operations: ['8+64=72', '28+78=106'] Exploring Operation: 106-72=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 24, 38, 27, 2 ]
87
[ "24+38=62", "27-2=25", "62+25=87" ]
Current State: 87:[24, 38, 27, 2], Operations: [] Exploring Operation: 24+38=62, Resulting Numbers: [27, 2, 62] Generated Node #2: [27, 2, 62] from Operation: 24+38=62 Current State: 87:[27, 2, 62], Operations: ['24+38=62'] Exploring Operation: 27-2=25, Resulting Numbers: [62, 25] Generated Node #3: [62, 25] from Operation: 27-2=25 Current State: 87:[62, 25], Operations: ['24+38=62', '27-2=25'] Exploring Operation: 62+25=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 5, 14, 7, 23 ]
12
[ "14-7=7", "5*7=35", "35-23=12" ]
Current State: 12:[5, 14, 7, 23], Operations: [] Exploring Operation: 14-7=7, Resulting Numbers: [5, 23, 7] Generated Node #2: [5, 23, 7] from Operation: 14-7=7 Current State: 12:[5, 23, 7], Operations: ['14-7=7'] Exploring Operation: 5*7=35, Resulting Numbers: [23, 35] Generated Node #3: [23, 35] from Operation: 5*7=35 Current State: 12:[23, 35], Operations: ['14-7=7', '5*7=35'] Exploring Operation: 35-23=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 47, 86, 82, 2 ]
41
[ "86-47=39", "82-2=80", "80-39=41" ]
Current State: 41:[47, 86, 82, 2], Operations: [] Exploring Operation: 86-47=39, Resulting Numbers: [82, 2, 39] Generated Node #2: [82, 2, 39] from Operation: 86-47=39 Current State: 41:[82, 2, 39], Operations: ['86-47=39'] Exploring Operation: 82-2=80, Resulting Numbers: [39, 80] Generated Node #3: [39, 80] from Operation: 82-2=80 Current State: 41:[39, 80], Operations: ['86-47=39', '82-2=80'] Exploring Operation: 80-39=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 53, 29, 94, 53 ]
94
[ "53-53=0", "29*0=0", "94+0=94" ]
Current State: 94:[53, 29, 94, 53], Operations: [] Exploring Operation: 53-53=0, Resulting Numbers: [29, 94, 0] Generated Node #2: [29, 94, 0] from Operation: 53-53=0 Current State: 94:[29, 94, 0], Operations: ['53-53=0'] Exploring Operation: 29*0=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 29*0=0 Current State: 94:[94, 0], Operations: ['53-53=0', '29*0=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 65, 79, 83, 48 ]
77
[ "83-79=4", "48/4=12", "65+12=77" ]
Current State: 77:[65, 79, 83, 48], Operations: [] Exploring Operation: 83-79=4, Resulting Numbers: [65, 48, 4] Generated Node #2: [65, 48, 4] from Operation: 83-79=4 Current State: 77:[65, 48, 4], Operations: ['83-79=4'] Exploring Operation: 48/4=12, Resulting Numbers: [65, 12] Generated Node #3: [65, 12] from Operation: 48/4=12 Current State: 77:[65, 12], Operations: ['83-79=4', '48/4=12'] Exploring Operation: 65+12=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 95, 2, 27, 74 ]
89
[ "95*2=190", "27+74=101", "190-101=89" ]
Current State: 89:[95, 2, 27, 74], Operations: [] Exploring Operation: 95*2=190, Resulting Numbers: [27, 74, 190] Generated Node #2: [27, 74, 190] from Operation: 95*2=190 Current State: 89:[27, 74, 190], Operations: ['95*2=190'] Exploring Operation: 27+74=101, Resulting Numbers: [190, 101] Generated Node #3: [190, 101] from Operation: 27+74=101 Current State: 89:[190, 101], Operations: ['95*2=190', '27+74=101'] Exploring Operation: 190-101=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 7, 60, 17, 47 ]
97
[ "7+60=67", "47-17=30", "67+30=97" ]
Current State: 97:[7, 60, 17, 47], Operations: [] Exploring Operation: 7+60=67, Resulting Numbers: [17, 47, 67] Generated Node #2: [17, 47, 67] from Operation: 7+60=67 Current State: 97:[17, 47, 67], Operations: ['7+60=67'] Exploring Operation: 47-17=30, Resulting Numbers: [67, 30] Generated Node #3: [67, 30] from Operation: 47-17=30 Current State: 97:[67, 30], Operations: ['7+60=67', '47-17=30'] Exploring Operation: 67+30=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 7, 80, 72, 12 ]
81
[ "7+80=87", "72/12=6", "87-6=81" ]
Current State: 81:[7, 80, 72, 12], Operations: [] Exploring Operation: 7+80=87, Resulting Numbers: [72, 12, 87] Generated Node #2: [72, 12, 87] from Operation: 7+80=87 Current State: 81:[72, 12, 87], Operations: ['7+80=87'] Exploring Operation: 72/12=6, Resulting Numbers: [87, 6] Generated Node #3: [87, 6] from Operation: 72/12=6 Current State: 81:[87, 6], Operations: ['7+80=87', '72/12=6'] Exploring Operation: 87-6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 16, 60, 45, 93 ]
94
[ "60-16=44", "45+93=138", "138-44=94" ]
Current State: 94:[16, 60, 45, 93], Operations: [] Exploring Operation: 60-16=44, Resulting Numbers: [45, 93, 44] Generated Node #2: [45, 93, 44] from Operation: 60-16=44 Current State: 94:[45, 93, 44], Operations: ['60-16=44'] Exploring Operation: 45+93=138, Resulting Numbers: [44, 138] Generated Node #3: [44, 138] from Operation: 45+93=138 Current State: 94:[44, 138], Operations: ['60-16=44', '45+93=138'] Exploring Operation: 138-44=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 83, 8, 17, 18 ]
92
[ "83+8=91", "18-17=1", "91+1=92" ]
Current State: 92:[83, 8, 17, 18], Operations: [] Exploring Operation: 83+8=91, Resulting Numbers: [17, 18, 91] Generated Node #2: [17, 18, 91] from Operation: 83+8=91 Current State: 92:[17, 18, 91], Operations: ['83+8=91'] Exploring Operation: 18-17=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 18-17=1 Current State: 92:[91, 1], Operations: ['83+8=91', '18-17=1'] Exploring Operation: 91+1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 8, 45, 59, 18 ]
94
[ "8+45=53", "59-18=41", "53+41=94" ]
Current State: 94:[8, 45, 59, 18], Operations: [] Exploring Operation: 8+45=53, Resulting Numbers: [59, 18, 53] Generated Node #2: [59, 18, 53] from Operation: 8+45=53 Current State: 94:[59, 18, 53], Operations: ['8+45=53'] Exploring Operation: 59-18=41, Resulting Numbers: [53, 41] Generated Node #3: [53, 41] from Operation: 59-18=41 Current State: 94:[53, 41], Operations: ['8+45=53', '59-18=41'] Exploring Operation: 53+41=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 15, 69, 3, 23 ]
47
[ "15*3=45", "69+23=92", "92-45=47" ]
Current State: 47:[15, 69, 3, 23], Operations: [] Exploring Operation: 15*3=45, Resulting Numbers: [69, 23, 45] Generated Node #2: [69, 23, 45] from Operation: 15*3=45 Current State: 47:[69, 23, 45], Operations: ['15*3=45'] Exploring Operation: 69+23=92, Resulting Numbers: [45, 92] Generated Node #3: [45, 92] from Operation: 69+23=92 Current State: 47:[45, 92], Operations: ['15*3=45', '69+23=92'] Exploring Operation: 92-45=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 78, 6, 87, 29 ]
16
[ "78/6=13", "87/29=3", "13+3=16" ]
Current State: 16:[78, 6, 87, 29], Operations: [] Exploring Operation: 78/6=13, Resulting Numbers: [87, 29, 13] Generated Node #2: [87, 29, 13] from Operation: 78/6=13 Current State: 16:[87, 29, 13], Operations: ['78/6=13'] Exploring Operation: 87/29=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 87/29=3 Current State: 16:[13, 3], Operations: ['78/6=13', '87/29=3'] Exploring Operation: 13+3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 67, 13, 29, 5 ]
20
[ "67-13=54", "29+5=34", "54-34=20" ]
Current State: 20:[67, 13, 29, 5], Operations: [] Exploring Operation: 67-13=54, Resulting Numbers: [29, 5, 54] Generated Node #2: [29, 5, 54] from Operation: 67-13=54 Current State: 20:[29, 5, 54], Operations: ['67-13=54'] Exploring Operation: 29+5=34, Resulting Numbers: [54, 34] Generated Node #3: [54, 34] from Operation: 29+5=34 Current State: 20:[54, 34], Operations: ['67-13=54', '29+5=34'] Exploring Operation: 54-34=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 38, 76, 90, 2 ]
46
[ "76/38=2", "90+2=92", "92/2=46" ]
Current State: 46:[38, 76, 90, 2], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [90, 2, 2] Generated Node #2: [90, 2, 2] from Operation: 76/38=2 Current State: 46:[90, 2, 2], Operations: ['76/38=2'] Exploring Operation: 90+2=92, Resulting Numbers: [92] 92,46 equal: Goal Reached Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 89, 39, 35, 12 ]
81
[ "89+39=128", "35+12=47", "128-47=81" ]
Current State: 81:[89, 39, 35, 12], Operations: [] Exploring Operation: 89+39=128, Resulting Numbers: [35, 12, 128] Generated Node #2: [35, 12, 128] from Operation: 89+39=128 Current State: 81:[35, 12, 128], Operations: ['89+39=128'] Exploring Operation: 35+12=47, Resulting Numbers: [128, 47] Generated Node #3: [128, 47] from Operation: 35+12=47 Current State: 81:[128, 47], Operations: ['89+39=128', '35+12=47'] Exploring Operation: 128-47=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 83, 61, 67, 33 ]
12
[ "83-61=22", "67-33=34", "34-22=12" ]
Current State: 12:[83, 61, 67, 33], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [67, 33, 22] Generated Node #2: [67, 33, 22] from Operation: 83-61=22 Current State: 12:[67, 33, 22], Operations: ['83-61=22'] Exploring Operation: 67-33=34, Resulting Numbers: [22, 34] Generated Node #3: [22, 34] from Operation: 67-33=34 Current State: 12:[22, 34], Operations: ['83-61=22', '67-33=34'] Exploring Operation: 34-22=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 64, 83, 91, 68 ]
42
[ "83-64=19", "91-68=23", "19+23=42" ]
Current State: 42:[64, 83, 91, 68], Operations: [] Exploring Operation: 83-64=19, Resulting Numbers: [91, 68, 19] Generated Node #2: [91, 68, 19] from Operation: 83-64=19 Current State: 42:[91, 68, 19], Operations: ['83-64=19'] Exploring Operation: 91-68=23, Resulting Numbers: [19, 23] Generated Node #3: [19, 23] from Operation: 91-68=23 Current State: 42:[19, 23], Operations: ['83-64=19', '91-68=23'] Exploring Operation: 19+23=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 80, 57, 23, 57 ]
23
[ "57-57=0", "80*0=0", "23+0=23" ]
Current State: 23:[80, 57, 23, 57], Operations: [] Exploring Operation: 57-57=0, Resulting Numbers: [80, 23, 0] Generated Node #2: [80, 23, 0] from Operation: 57-57=0 Current State: 23:[80, 23, 0], Operations: ['57-57=0'] Exploring Operation: 80*0=0, Resulting Numbers: [23, 0] Generated Node #3: [23, 0] from Operation: 80*0=0 Current State: 23:[23, 0], Operations: ['57-57=0', '80*0=0'] Exploring Operation: 23+0=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 28, 15, 4, 33 ]
89
[ "28+15=43", "4*33=132", "132-43=89" ]
Current State: 89:[28, 15, 4, 33], Operations: [] Exploring Operation: 28+15=43, Resulting Numbers: [4, 33, 43] Generated Node #2: [4, 33, 43] from Operation: 28+15=43 Current State: 89:[4, 33, 43], Operations: ['28+15=43'] Exploring Operation: 4*33=132, Resulting Numbers: [43, 132] Generated Node #3: [43, 132] from Operation: 4*33=132 Current State: 89:[43, 132], Operations: ['28+15=43', '4*33=132'] Exploring Operation: 132-43=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 11, 99, 13, 17 ]
84
[ "99-11=88", "17-13=4", "88-4=84" ]
Current State: 84:[11, 99, 13, 17], Operations: [] Exploring Operation: 99-11=88, Resulting Numbers: [13, 17, 88] Generated Node #2: [13, 17, 88] from Operation: 99-11=88 Current State: 84:[13, 17, 88], Operations: ['99-11=88'] Exploring Operation: 17-13=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 17-13=4 Current State: 84:[88, 4], Operations: ['99-11=88', '17-13=4'] Exploring Operation: 88-4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 70, 16, 63, 1 ]
66
[ "63+1=64", "64/16=4", "70-4=66" ]
Current State: 66:[70, 16, 63, 1], Operations: [] Exploring Operation: 63+1=64, Resulting Numbers: [70, 16, 64] Generated Node #2: [70, 16, 64] from Operation: 63+1=64 Current State: 66:[70, 16, 64], Operations: ['63+1=64'] Exploring Operation: 64/16=4, Resulting Numbers: [70, 4] Generated Node #3: [70, 4] from Operation: 64/16=4 Current State: 66:[70, 4], Operations: ['63+1=64', '64/16=4'] Exploring Operation: 70-4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 95, 85, 81, 5 ]
45
[ "95+85=180", "180/5=36", "81-36=45" ]
Current State: 45:[95, 85, 81, 5], Operations: [] Exploring Operation: 95+85=180, Resulting Numbers: [81, 5, 180] Generated Node #2: [81, 5, 180] from Operation: 95+85=180 Current State: 45:[81, 5, 180], Operations: ['95+85=180'] Exploring Operation: 180/5=36, Resulting Numbers: [81, 36] Generated Node #3: [81, 36] from Operation: 180/5=36 Current State: 45:[81, 36], Operations: ['95+85=180', '180/5=36'] Exploring Operation: 81-36=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 25, 98, 99, 14 ]
76
[ "25*98=2450", "2450/14=175", "175-99=76" ]
Current State: 76:[25, 98, 99, 14], Operations: [] Exploring Operation: 25*98=2450, Resulting Numbers: [99, 14, 2450] Generated Node #2: [99, 14, 2450] from Operation: 25*98=2450 Current State: 76:[99, 14, 2450], Operations: ['25*98=2450'] Exploring Operation: 2450/14=175, Resulting Numbers: [99, 175] Generated Node #3: [99, 175] from Operation: 2450/14=175 Current State: 76:[99, 175], Operations: ['25*98=2450', '2450/14=175'] Exploring Operation: 175-99=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 54, 80, 52, 15 ]
97
[ "54+80=134", "52-15=37", "134-37=97" ]
Current State: 97:[54, 80, 52, 15], Operations: [] Exploring Operation: 54+80=134, Resulting Numbers: [52, 15, 134] Generated Node #2: [52, 15, 134] from Operation: 54+80=134 Current State: 97:[52, 15, 134], Operations: ['54+80=134'] Exploring Operation: 52-15=37, Resulting Numbers: [134, 37] Generated Node #3: [134, 37] from Operation: 52-15=37 Current State: 97:[134, 37], Operations: ['54+80=134', '52-15=37'] Exploring Operation: 134-37=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 52, 87, 21, 88 ]
72
[ "52+87=139", "88-21=67", "139-67=72" ]
Current State: 72:[52, 87, 21, 88], Operations: [] Exploring Operation: 52+87=139, Resulting Numbers: [21, 88, 139] Generated Node #2: [21, 88, 139] from Operation: 52+87=139 Current State: 72:[21, 88, 139], Operations: ['52+87=139'] Exploring Operation: 88-21=67, Resulting Numbers: [139, 67] Generated Node #3: [139, 67] from Operation: 88-21=67 Current State: 72:[139, 67], Operations: ['52+87=139', '88-21=67'] Exploring Operation: 139-67=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 8, 81, 78, 65 ]
89
[ "81-78=3", "8*3=24", "65+24=89" ]
Current State: 89:[8, 81, 78, 65], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [8, 65, 3] Generated Node #2: [8, 65, 3] from Operation: 81-78=3 Current State: 89:[8, 65, 3], Operations: ['81-78=3'] Exploring Operation: 8*3=24, Resulting Numbers: [65, 24] Generated Node #3: [65, 24] from Operation: 8*3=24 Current State: 89:[65, 24], Operations: ['81-78=3', '8*3=24'] Exploring Operation: 65+24=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 23, 22, 32, 62 ]
95
[ "23-22=1", "32+62=94", "1+94=95" ]
Current State: 95:[23, 22, 32, 62], Operations: [] Exploring Operation: 23-22=1, Resulting Numbers: [32, 62, 1] Generated Node #2: [32, 62, 1] from Operation: 23-22=1 Current State: 95:[32, 62, 1], Operations: ['23-22=1'] Exploring Operation: 32+62=94, Resulting Numbers: [1, 94] Generated Node #3: [1, 94] from Operation: 32+62=94 Current State: 95:[1, 94], Operations: ['23-22=1', '32+62=94'] Exploring Operation: 1+94=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 66, 32, 35, 26 ]
95
[ "66-32=34", "35+26=61", "34+61=95" ]
Current State: 95:[66, 32, 35, 26], Operations: [] Exploring Operation: 66-32=34, Resulting Numbers: [35, 26, 34] Generated Node #2: [35, 26, 34] from Operation: 66-32=34 Current State: 95:[35, 26, 34], Operations: ['66-32=34'] Exploring Operation: 35+26=61, Resulting Numbers: [34, 61] Generated Node #3: [34, 61] from Operation: 35+26=61 Current State: 95:[34, 61], Operations: ['66-32=34', '35+26=61'] Exploring Operation: 34+61=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 10, 92, 81, 15 ]
40
[ "92-81=11", "15-11=4", "10*4=40" ]
Current State: 40:[10, 92, 81, 15], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [10, 15, 11] Generated Node #2: [10, 15, 11] from Operation: 92-81=11 Current State: 40:[10, 15, 11], Operations: ['92-81=11'] Exploring Operation: 15-11=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 15-11=4 Current State: 40:[10, 4], Operations: ['92-81=11', '15-11=4'] Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 82, 2, 27, 38 ]
36
[ "82-27=55", "38/2=19", "55-19=36" ]
Current State: 36:[82, 2, 27, 38], Operations: [] Exploring Operation: 82-27=55, Resulting Numbers: [2, 38, 55] Generated Node #2: [2, 38, 55] from Operation: 82-27=55 Current State: 36:[2, 38, 55], Operations: ['82-27=55'] Exploring Operation: 38/2=19, Resulting Numbers: [55, 19] Generated Node #3: [55, 19] from Operation: 38/2=19 Current State: 36:[55, 19], Operations: ['82-27=55', '38/2=19'] Exploring Operation: 55-19=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 1, 3, 11, 79 ]
83
[ "1+11=12", "12/3=4", "79+4=83" ]
Current State: 83:[1, 3, 11, 79], Operations: [] Exploring Operation: 1+11=12, Resulting Numbers: [3, 79, 12] Generated Node #2: [3, 79, 12] from Operation: 1+11=12 Current State: 83:[3, 79, 12], Operations: ['1+11=12'] Exploring Operation: 12/3=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 12/3=4 Current State: 83:[79, 4], Operations: ['1+11=12', '12/3=4'] Exploring Operation: 79+4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 13, 40, 9, 36 ]
19
[ "13-9=4", "40+36=76", "76/4=19" ]
Current State: 19:[13, 40, 9, 36], Operations: [] Exploring Operation: 13-9=4, Resulting Numbers: [40, 36, 4] Generated Node #2: [40, 36, 4] from Operation: 13-9=4 Current State: 19:[40, 36, 4], Operations: ['13-9=4'] Exploring Operation: 40+36=76, Resulting Numbers: [4, 76] Generated Node #3: [4, 76] from Operation: 40+36=76 Current State: 19:[4, 76], Operations: ['13-9=4', '40+36=76'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 10, 90, 26, 20 ]
58
[ "20/10=2", "90+26=116", "116/2=58" ]
Current State: 58:[10, 90, 26, 20], Operations: [] Exploring Operation: 20/10=2, Resulting Numbers: [90, 26, 2] Generated Node #2: [90, 26, 2] from Operation: 20/10=2 Current State: 58:[90, 26, 2], Operations: ['20/10=2'] Exploring Operation: 90+26=116, Resulting Numbers: [2, 116] Generated Node #3: [2, 116] from Operation: 90+26=116 Current State: 58:[2, 116], Operations: ['20/10=2', '90+26=116'] Exploring Operation: 116/2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 22, 20, 68, 31 ]
90
[ "68+31=99", "20*99=1980", "1980/22=90" ]
Current State: 90:[22, 20, 68, 31], Operations: [] Exploring Operation: 68+31=99, Resulting Numbers: [22, 20, 99] Generated Node #2: [22, 20, 99] from Operation: 68+31=99 Current State: 90:[22, 20, 99], Operations: ['68+31=99'] Exploring Operation: 20*99=1980, Resulting Numbers: [22, 1980] Generated Node #3: [22, 1980] from Operation: 20*99=1980 Current State: 90:[22, 1980], Operations: ['68+31=99', '20*99=1980'] Exploring Operation: 1980/22=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 53, 19, 54, 49 ]
67
[ "53+19=72", "54-49=5", "72-5=67" ]
Current State: 67:[53, 19, 54, 49], Operations: [] Exploring Operation: 53+19=72, Resulting Numbers: [54, 49, 72] Generated Node #2: [54, 49, 72] from Operation: 53+19=72 Current State: 67:[54, 49, 72], Operations: ['53+19=72'] Exploring Operation: 54-49=5, Resulting Numbers: [72, 5] Generated Node #3: [72, 5] from Operation: 54-49=5 Current State: 67:[72, 5], Operations: ['53+19=72', '54-49=5'] Exploring Operation: 72-5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 82, 20, 24, 19 ]
59
[ "82+20=102", "24+19=43", "102-43=59" ]
Current State: 59:[82, 20, 24, 19], Operations: [] Exploring Operation: 82+20=102, Resulting Numbers: [24, 19, 102] Generated Node #2: [24, 19, 102] from Operation: 82+20=102 Current State: 59:[24, 19, 102], Operations: ['82+20=102'] Exploring Operation: 24+19=43, Resulting Numbers: [102, 43] Generated Node #3: [102, 43] from Operation: 24+19=43 Current State: 59:[102, 43], Operations: ['82+20=102', '24+19=43'] Exploring Operation: 102-43=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 60, 92, 64, 60 ]
36
[ "92-60=32", "64-60=4", "32+4=36" ]
Current State: 36:[60, 92, 64, 60], Operations: [] Exploring Operation: 92-60=32, Resulting Numbers: [64, 32] Generated Node #2: [64, 32] from Operation: 92-60=32 Current State: 36:[64, 32], Operations: ['92-60=32'] Exploring Operation: 64-60=4, Resulting Numbers: [32, 4] Generated Node #3: [32, 4] from Operation: 64-60=4 Current State: 36:[32, 4], Operations: ['92-60=32', '64-60=4'] Exploring Operation: 32+4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 10, 81, 30, 32 ]
93
[ "10+81=91", "32-30=2", "91+2=93" ]
Current State: 93:[10, 81, 30, 32], Operations: [] Exploring Operation: 10+81=91, Resulting Numbers: [30, 32, 91] Generated Node #2: [30, 32, 91] from Operation: 10+81=91 Current State: 93:[30, 32, 91], Operations: ['10+81=91'] Exploring Operation: 32-30=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 32-30=2 Current State: 93:[91, 2], Operations: ['10+81=91', '32-30=2'] Exploring Operation: 91+2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 98, 5, 97, 42 ]
38
[ "98-5=93", "97-42=55", "93-55=38" ]
Current State: 38:[98, 5, 97, 42], Operations: [] Exploring Operation: 98-5=93, Resulting Numbers: [97, 42, 93] Generated Node #2: [97, 42, 93] from Operation: 98-5=93 Current State: 38:[97, 42, 93], Operations: ['98-5=93'] Exploring Operation: 97-42=55, Resulting Numbers: [93, 55] Generated Node #3: [93, 55] from Operation: 97-42=55 Current State: 38:[93, 55], Operations: ['98-5=93', '97-42=55'] Exploring Operation: 93-55=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 36, 24, 38, 17 ]
48
[ "36-17=19", "24*38=912", "912/19=48" ]
Current State: 48:[36, 24, 38, 17], Operations: [] Exploring Operation: 36-17=19, Resulting Numbers: [24, 38, 19] Generated Node #2: [24, 38, 19] from Operation: 36-17=19 Current State: 48:[24, 38, 19], Operations: ['36-17=19'] Exploring Operation: 24*38=912, Resulting Numbers: [19, 912] Generated Node #3: [19, 912] from Operation: 24*38=912 Current State: 48:[19, 912], Operations: ['36-17=19', '24*38=912'] Exploring Operation: 912/19=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 39, 21, 34, 2 ]
54
[ "39-21=18", "34+2=36", "18+36=54" ]
Current State: 54:[39, 21, 34, 2], Operations: [] Exploring Operation: 39-21=18, Resulting Numbers: [34, 2, 18] Generated Node #2: [34, 2, 18] from Operation: 39-21=18 Current State: 54:[34, 2, 18], Operations: ['39-21=18'] Exploring Operation: 34+2=36, Resulting Numbers: [18, 36] Generated Node #3: [18, 36] from Operation: 34+2=36 Current State: 54:[18, 36], Operations: ['39-21=18', '34+2=36'] Exploring Operation: 18+36=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 9, 30, 6, 66 ]
64
[ "9+6=15", "30/15=2", "66-2=64" ]
Current State: 64:[9, 30, 6, 66], Operations: [] Exploring Operation: 9+6=15, Resulting Numbers: [30, 66, 15] Generated Node #2: [30, 66, 15] from Operation: 9+6=15 Current State: 64:[30, 66, 15], Operations: ['9+6=15'] Exploring Operation: 30/15=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 30/15=2 Current State: 64:[66, 2], Operations: ['9+6=15', '30/15=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4