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
[ 29, 18, 74, 78 ]
43
[ "29+18=47", "78-74=4", "47-4=43" ]
Current State: 43:[29, 18, 74, 78], Operations: [] Exploring Operation: 29+18=47, Resulting Numbers: [74, 78, 47] Generated Node #2: [74, 78, 47] from Operation: 29+18=47 Current State: 43:[74, 78, 47], Operations: ['29+18=47'] Exploring Operation: 78-74=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 78-74=4 Current State: 43:[47, 4], Operations: ['29+18=47', '78-74=4'] Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 95, 95, 83, 7 ]
89
[ "95/95=1", "83+7=90", "90-1=89" ]
Current State: 89:[95, 95, 83, 7], Operations: [] Exploring Operation: 95/95=1, Resulting Numbers: [83, 7, 1] Generated Node #2: [83, 7, 1] from Operation: 95/95=1 Current State: 89:[83, 7, 1], Operations: ['95/95=1'] Exploring Operation: 83+7=90, Resulting Numbers: [1, 90] Generated Node #3: [1, 90] from Operation: 83+7=90 Current State: 89:[1, 90], Operations: ['95/95=1', '83+7=90'] Exploring Operation: 90-1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 58, 3, 90, 72 ]
56
[ "90-58=32", "72/3=24", "32+24=56" ]
Current State: 56:[58, 3, 90, 72], Operations: [] Exploring Operation: 90-58=32, Resulting Numbers: [3, 72, 32] Generated Node #2: [3, 72, 32] from Operation: 90-58=32 Current State: 56:[3, 72, 32], Operations: ['90-58=32'] Exploring Operation: 72/3=24, Resulting Numbers: [32, 24] Generated Node #3: [32, 24] from Operation: 72/3=24 Current State: 56:[32, 24], Operations: ['90-58=32', '72/3=24'] Exploring Operation: 32+24=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 83, 92, 43, 45 ]
86
[ "92+43=135", "135/45=3", "83+3=86" ]
Current State: 86:[83, 92, 43, 45], Operations: [] Exploring Operation: 92+43=135, Resulting Numbers: [83, 45, 135] Generated Node #2: [83, 45, 135] from Operation: 92+43=135 Current State: 86:[83, 45, 135], Operations: ['92+43=135'] Exploring Operation: 135/45=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 135/45=3 Current State: 86:[83, 3], Operations: ['92+43=135', '135/45=3'] Exploring Operation: 83+3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 61, 49, 20, 24 ]
32
[ "61-49=12", "20+24=44", "44-12=32" ]
Current State: 32:[61, 49, 20, 24], Operations: [] Exploring Operation: 61-49=12, Resulting Numbers: [20, 24, 12] Generated Node #2: [20, 24, 12] from Operation: 61-49=12 Current State: 32:[20, 24, 12], Operations: ['61-49=12'] Exploring Operation: 20+24=44, Resulting Numbers: [12, 44] Generated Node #3: [12, 44] from Operation: 20+24=44 Current State: 32:[12, 44], Operations: ['61-49=12', '20+24=44'] Exploring Operation: 44-12=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 97, 24, 7, 17 ]
96
[ "24-7=17", "17/17=1", "97-1=96" ]
Current State: 96:[97, 24, 7, 17], Operations: [] Exploring Operation: 24-7=17, Resulting Numbers: [97, 17, 17] Generated Node #2: [97, 17, 17] from Operation: 24-7=17 Current State: 96:[97, 17, 17], Operations: ['24-7=17'] Exploring Operation: 17/17=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 17/17=1 Current State: 96:[97, 1], Operations: ['24-7=17', '17/17=1'] Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 36, 70, 45, 84 ]
35
[ "45*84=3780", "3780/36=105", "105-70=35" ]
Current State: 35:[36, 70, 45, 84], Operations: [] Exploring Operation: 45*84=3780, Resulting Numbers: [36, 70, 3780] Generated Node #2: [36, 70, 3780] from Operation: 45*84=3780 Current State: 35:[36, 70, 3780], Operations: ['45*84=3780'] Exploring Operation: 3780/36=105, Resulting Numbers: [70, 105] Generated Node #3: [70, 105] from Operation: 3780/36=105 Current State: 35:[70, 105], Operations: ['45*84=3780', '3780/36=105'] Exploring Operation: 105-70=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 87, 94, 21, 5 ]
19
[ "94-87=7", "21+5=26", "26-7=19" ]
Current State: 19:[87, 94, 21, 5], Operations: [] Exploring Operation: 94-87=7, Resulting Numbers: [21, 5, 7] Generated Node #2: [21, 5, 7] from Operation: 94-87=7 Current State: 19:[21, 5, 7], Operations: ['94-87=7'] Exploring Operation: 21+5=26, Resulting Numbers: [7, 26] Generated Node #3: [7, 26] from Operation: 21+5=26 Current State: 19:[7, 26], Operations: ['94-87=7', '21+5=26'] Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 81, 98, 32, 67 ]
25
[ "81-67=14", "98/14=7", "32-7=25" ]
Current State: 25:[81, 98, 32, 67], Operations: [] Exploring Operation: 81-67=14, Resulting Numbers: [98, 32, 14] Generated Node #2: [98, 32, 14] from Operation: 81-67=14 Current State: 25:[98, 32, 14], Operations: ['81-67=14'] Exploring Operation: 98/14=7, Resulting Numbers: [32, 7] Generated Node #3: [32, 7] from Operation: 98/14=7 Current State: 25:[32, 7], Operations: ['81-67=14', '98/14=7'] Exploring Operation: 32-7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 92, 91, 91, 99 ]
99
[ "91-91=0", "92*0=0", "99+0=99" ]
Current State: 99:[92, 91, 91, 99], Operations: [] Exploring Operation: 91-91=0, Resulting Numbers: [92, 99, 0] Generated Node #2: [92, 99, 0] from Operation: 91-91=0 Current State: 99:[92, 99, 0], Operations: ['91-91=0'] Exploring Operation: 92*0=0, Resulting Numbers: [99, 0] Generated Node #3: [99, 0] from Operation: 92*0=0 Current State: 99:[99, 0], Operations: ['91-91=0', '92*0=0'] Exploring Operation: 99+0=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 60, 49, 82, 2 ]
54
[ "60+49=109", "109-82=27", "2*27=54" ]
Current State: 54:[60, 49, 82, 2], Operations: [] Exploring Operation: 60+49=109, Resulting Numbers: [82, 2, 109] Generated Node #2: [82, 2, 109] from Operation: 60+49=109 Current State: 54:[82, 2, 109], Operations: ['60+49=109'] Exploring Operation: 109-82=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 109-82=27 Current State: 54:[2, 27], Operations: ['60+49=109', '109-82=27'] Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 38, 2, 50, 47 ]
68
[ "47-38=9", "2*9=18", "50+18=68" ]
Current State: 68:[38, 2, 50, 47], Operations: [] Exploring Operation: 47-38=9, Resulting Numbers: [2, 50, 9] Generated Node #2: [2, 50, 9] from Operation: 47-38=9 Current State: 68:[2, 50, 9], Operations: ['47-38=9'] Exploring Operation: 2*9=18, Resulting Numbers: [50, 18] Generated Node #3: [50, 18] from Operation: 2*9=18 Current State: 68:[50, 18], Operations: ['47-38=9', '2*9=18'] Exploring Operation: 50+18=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 28, 94, 23, 92 ]
53
[ "28+94=122", "92-23=69", "122-69=53" ]
Current State: 53:[28, 94, 23, 92], Operations: [] Exploring Operation: 28+94=122, Resulting Numbers: [23, 92, 122] Generated Node #2: [23, 92, 122] from Operation: 28+94=122 Current State: 53:[23, 92, 122], Operations: ['28+94=122'] Exploring Operation: 92-23=69, Resulting Numbers: [122, 69] Generated Node #3: [122, 69] from Operation: 92-23=69 Current State: 53:[122, 69], Operations: ['28+94=122', '92-23=69'] Exploring Operation: 122-69=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 93, 97, 17, 15 ]
83
[ "97-93=4", "17*4=68", "15+68=83" ]
Current State: 83:[93, 97, 17, 15], Operations: [] Exploring Operation: 97-93=4, Resulting Numbers: [17, 15, 4] Generated Node #2: [17, 15, 4] from Operation: 97-93=4 Current State: 83:[17, 15, 4], Operations: ['97-93=4'] Exploring Operation: 17*4=68, Resulting Numbers: [15, 68] Generated Node #3: [15, 68] from Operation: 17*4=68 Current State: 83:[15, 68], Operations: ['97-93=4', '17*4=68'] Exploring Operation: 15+68=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 34, 17, 7, 88 ]
97
[ "34/17=2", "7+88=95", "2+95=97" ]
Current State: 97:[34, 17, 7, 88], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [7, 88, 2] Generated Node #2: [7, 88, 2] from Operation: 34/17=2 Current State: 97:[7, 88, 2], Operations: ['34/17=2'] Exploring Operation: 7+88=95, Resulting Numbers: [2, 95] Generated Node #3: [2, 95] from Operation: 7+88=95 Current State: 97:[2, 95], Operations: ['34/17=2', '7+88=95'] Exploring Operation: 2+95=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 95, 84, 48, 6 ]
65
[ "95-84=11", "48+6=54", "11+54=65" ]
Current State: 65:[95, 84, 48, 6], Operations: [] Exploring Operation: 95-84=11, Resulting Numbers: [48, 6, 11] Generated Node #2: [48, 6, 11] from Operation: 95-84=11 Current State: 65:[48, 6, 11], Operations: ['95-84=11'] Exploring Operation: 48+6=54, Resulting Numbers: [11, 54] Generated Node #3: [11, 54] from Operation: 48+6=54 Current State: 65:[11, 54], Operations: ['95-84=11', '48+6=54'] Exploring Operation: 11+54=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 66, 58, 7, 90 ]
75
[ "66-58=8", "90-7=83", "83-8=75" ]
Current State: 75:[66, 58, 7, 90], Operations: [] Exploring Operation: 66-58=8, Resulting Numbers: [7, 90, 8] Generated Node #2: [7, 90, 8] from Operation: 66-58=8 Current State: 75:[7, 90, 8], Operations: ['66-58=8'] Exploring Operation: 90-7=83, Resulting Numbers: [8, 83] Generated Node #3: [8, 83] from Operation: 90-7=83 Current State: 75:[8, 83], Operations: ['66-58=8', '90-7=83'] Exploring Operation: 83-8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 21, 14, 82, 4 ]
58
[ "21+14=35", "4*35=140", "140-82=58" ]
Current State: 58:[21, 14, 82, 4], Operations: [] Exploring Operation: 21+14=35, Resulting Numbers: [82, 4, 35] Generated Node #2: [82, 4, 35] from Operation: 21+14=35 Current State: 58:[82, 4, 35], Operations: ['21+14=35'] Exploring Operation: 4*35=140, Resulting Numbers: [82, 140] Generated Node #3: [82, 140] from Operation: 4*35=140 Current State: 58:[82, 140], Operations: ['21+14=35', '4*35=140'] Exploring Operation: 140-82=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 49, 6, 97, 38 ]
80
[ "49+6=55", "97+38=135", "135-55=80" ]
Current State: 80:[49, 6, 97, 38], Operations: [] Exploring Operation: 49+6=55, Resulting Numbers: [97, 38, 55] Generated Node #2: [97, 38, 55] from Operation: 49+6=55 Current State: 80:[97, 38, 55], Operations: ['49+6=55'] Exploring Operation: 97+38=135, Resulting Numbers: [55, 135] Generated Node #3: [55, 135] from Operation: 97+38=135 Current State: 80:[55, 135], Operations: ['49+6=55', '97+38=135'] Exploring Operation: 135-55=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 14, 64, 55, 3 ]
26
[ "14+64=78", "55-3=52", "78-52=26" ]
Current State: 26:[14, 64, 55, 3], Operations: [] Exploring Operation: 14+64=78, Resulting Numbers: [55, 3, 78] Generated Node #2: [55, 3, 78] from Operation: 14+64=78 Current State: 26:[55, 3, 78], Operations: ['14+64=78'] Exploring Operation: 55-3=52, Resulting Numbers: [78, 52] Generated Node #3: [78, 52] from Operation: 55-3=52 Current State: 26:[78, 52], Operations: ['14+64=78', '55-3=52'] Exploring Operation: 78-52=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 86, 45, 35, 16 ]
47
[ "86-16=70", "70/35=2", "45+2=47" ]
Current State: 47:[86, 45, 35, 16], Operations: [] Exploring Operation: 86-16=70, Resulting Numbers: [45, 35, 70] Generated Node #2: [45, 35, 70] from Operation: 86-16=70 Current State: 47:[45, 35, 70], Operations: ['86-16=70'] Exploring Operation: 70/35=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 70/35=2 Current State: 47:[45, 2], Operations: ['86-16=70', '70/35=2'] Exploring Operation: 45+2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 65, 68, 8, 83 ]
27
[ "65+68=133", "83+133=216", "216/8=27" ]
Current State: 27:[65, 68, 8, 83], Operations: [] Exploring Operation: 65+68=133, Resulting Numbers: [8, 83, 133] Generated Node #2: [8, 83, 133] from Operation: 65+68=133 Current State: 27:[8, 83, 133], Operations: ['65+68=133'] Exploring Operation: 83+133=216, Resulting Numbers: [8, 216] Generated Node #3: [8, 216] from Operation: 83+133=216 Current State: 27:[8, 216], Operations: ['65+68=133', '83+133=216'] Exploring Operation: 216/8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 44, 45, 14, 75 ]
61
[ "45-44=1", "75-14=61", "1*61=61" ]
Current State: 61:[44, 45, 14, 75], Operations: [] Exploring Operation: 45-44=1, Resulting Numbers: [14, 75, 1] Generated Node #2: [14, 75, 1] from Operation: 45-44=1 Current State: 61:[14, 75, 1], Operations: ['45-44=1'] Exploring Operation: 75-14=61, Resulting Numbers: [1, 61] Generated Node #3: [1, 61] from Operation: 75-14=61 Current State: 61:[1, 61], Operations: ['45-44=1', '75-14=61'] Exploring Operation: 1*61=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 68, 9, 63, 5 ]
15
[ "63/9=7", "68+7=75", "75/5=15" ]
Current State: 15:[68, 9, 63, 5], Operations: [] Exploring Operation: 63/9=7, Resulting Numbers: [68, 5, 7] Generated Node #2: [68, 5, 7] from Operation: 63/9=7 Current State: 15:[68, 5, 7], Operations: ['63/9=7'] Exploring Operation: 68+7=75, Resulting Numbers: [5, 75] Generated Node #3: [5, 75] from Operation: 68+7=75 Current State: 15:[5, 75], Operations: ['63/9=7', '68+7=75'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 2, 48, 33, 93 ]
72
[ "93-33=60", "2*60=120", "120-48=72" ]
Current State: 72:[2, 48, 33, 93], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [2, 48, 60] Generated Node #2: [2, 48, 60] from Operation: 93-33=60 Current State: 72:[2, 48, 60], Operations: ['93-33=60'] Exploring Operation: 2*60=120, Resulting Numbers: [48, 120] Generated Node #3: [48, 120] from Operation: 2*60=120 Current State: 72:[48, 120], Operations: ['93-33=60', '2*60=120'] Exploring Operation: 120-48=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 98, 55, 91, 17 ]
31
[ "98-55=43", "91-17=74", "74-43=31" ]
Current State: 31:[98, 55, 91, 17], Operations: [] Exploring Operation: 98-55=43, Resulting Numbers: [91, 17, 43] Generated Node #2: [91, 17, 43] from Operation: 98-55=43 Current State: 31:[91, 17, 43], Operations: ['98-55=43'] Exploring Operation: 91-17=74, Resulting Numbers: [43, 74] Generated Node #3: [43, 74] from Operation: 91-17=74 Current State: 31:[43, 74], Operations: ['98-55=43', '91-17=74'] Exploring Operation: 74-43=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 4, 3, 44, 4 ]
77
[ "4+3=7", "44/4=11", "7*11=77" ]
Current State: 77:[4, 3, 44, 4], Operations: [] Exploring Operation: 4+3=7, Resulting Numbers: [44, 7] Generated Node #2: [44, 7] from Operation: 4+3=7 Current State: 77:[44, 7], Operations: ['4+3=7'] Exploring Operation: 44/4=11, Resulting Numbers: [7, 11] Generated Node #3: [7, 11] from Operation: 44/4=11 Current State: 77:[7, 11], Operations: ['4+3=7', '44/4=11'] Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 42, 97, 35, 32 ]
52
[ "97-42=55", "35-32=3", "55-3=52" ]
Current State: 52:[42, 97, 35, 32], Operations: [] Exploring Operation: 97-42=55, Resulting Numbers: [35, 32, 55] Generated Node #2: [35, 32, 55] from Operation: 97-42=55 Current State: 52:[35, 32, 55], Operations: ['97-42=55'] Exploring Operation: 35-32=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 35-32=3 Current State: 52:[55, 3], Operations: ['97-42=55', '35-32=3'] Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 61, 78, 70, 38 ]
49
[ "78-61=17", "70-38=32", "17+32=49" ]
Current State: 49:[61, 78, 70, 38], Operations: [] Exploring Operation: 78-61=17, Resulting Numbers: [70, 38, 17] Generated Node #2: [70, 38, 17] from Operation: 78-61=17 Current State: 49:[70, 38, 17], Operations: ['78-61=17'] Exploring Operation: 70-38=32, Resulting Numbers: [17, 32] Generated Node #3: [17, 32] from Operation: 70-38=32 Current State: 49:[17, 32], Operations: ['78-61=17', '70-38=32'] Exploring Operation: 17+32=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 3, 2, 86, 94 ]
26
[ "2*86=172", "172-94=78", "78/3=26" ]
Current State: 26:[3, 2, 86, 94], Operations: [] Exploring Operation: 2*86=172, Resulting Numbers: [3, 94, 172] Generated Node #2: [3, 94, 172] from Operation: 2*86=172 Current State: 26:[3, 94, 172], Operations: ['2*86=172'] Exploring Operation: 172-94=78, Resulting Numbers: [3, 78] Generated Node #3: [3, 78] from Operation: 172-94=78 Current State: 26:[3, 78], Operations: ['2*86=172', '172-94=78'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 68, 81, 72, 11 ]
36
[ "81-68=13", "13-11=2", "72/2=36" ]
Current State: 36:[68, 81, 72, 11], Operations: [] Exploring Operation: 81-68=13, Resulting Numbers: [72, 11, 13] Generated Node #2: [72, 11, 13] from Operation: 81-68=13 Current State: 36:[72, 11, 13], Operations: ['81-68=13'] Exploring Operation: 13-11=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 13-11=2 Current State: 36:[72, 2], Operations: ['81-68=13', '13-11=2'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 75, 42, 73, 25 ]
34
[ "75-73=2", "42-25=17", "2*17=34" ]
Current State: 34:[75, 42, 73, 25], Operations: [] Exploring Operation: 75-73=2, Resulting Numbers: [42, 25, 2] Generated Node #2: [42, 25, 2] from Operation: 75-73=2 Current State: 34:[42, 25, 2], Operations: ['75-73=2'] Exploring Operation: 42-25=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 42-25=17 Current State: 34:[2, 17], Operations: ['75-73=2', '42-25=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 16, 20, 10, 48 ]
30
[ "48-16=32", "20/10=2", "32-2=30" ]
Current State: 30:[16, 20, 10, 48], Operations: [] Exploring Operation: 48-16=32, Resulting Numbers: [20, 10, 32] Generated Node #2: [20, 10, 32] from Operation: 48-16=32 Current State: 30:[20, 10, 32], Operations: ['48-16=32'] Exploring Operation: 20/10=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 20/10=2 Current State: 30:[32, 2], Operations: ['48-16=32', '20/10=2'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 27, 65, 64, 34 ]
83
[ "64*34=2176", "65+2176=2241", "2241/27=83" ]
Current State: 83:[27, 65, 64, 34], Operations: [] Exploring Operation: 64*34=2176, Resulting Numbers: [27, 65, 2176] Generated Node #2: [27, 65, 2176] from Operation: 64*34=2176 Current State: 83:[27, 65, 2176], Operations: ['64*34=2176'] Exploring Operation: 65+2176=2241, Resulting Numbers: [27, 2241] Generated Node #3: [27, 2241] from Operation: 65+2176=2241 Current State: 83:[27, 2241], Operations: ['64*34=2176', '65+2176=2241'] Exploring Operation: 2241/27=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 52, 63, 25, 5 ]
10
[ "52+63=115", "25*5=125", "125-115=10" ]
Current State: 10:[52, 63, 25, 5], Operations: [] Exploring Operation: 52+63=115, Resulting Numbers: [25, 5, 115] Generated Node #2: [25, 5, 115] from Operation: 52+63=115 Current State: 10:[25, 5, 115], Operations: ['52+63=115'] Exploring Operation: 25*5=125, Resulting Numbers: [115, 125] Generated Node #3: [115, 125] from Operation: 25*5=125 Current State: 10:[115, 125], Operations: ['52+63=115', '25*5=125'] Exploring Operation: 125-115=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 29, 14, 83, 89 ]
49
[ "29+14=43", "89-83=6", "43+6=49" ]
Current State: 49:[29, 14, 83, 89], Operations: [] Exploring Operation: 29+14=43, Resulting Numbers: [83, 89, 43] Generated Node #2: [83, 89, 43] from Operation: 29+14=43 Current State: 49:[83, 89, 43], Operations: ['29+14=43'] Exploring Operation: 89-83=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 89-83=6 Current State: 49:[43, 6], Operations: ['29+14=43', '89-83=6'] Exploring Operation: 43+6=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 61, 25, 84, 98 ]
72
[ "61+25=86", "98-84=14", "86-14=72" ]
Current State: 72:[61, 25, 84, 98], Operations: [] Exploring Operation: 61+25=86, Resulting Numbers: [84, 98, 86] Generated Node #2: [84, 98, 86] from Operation: 61+25=86 Current State: 72:[84, 98, 86], Operations: ['61+25=86'] Exploring Operation: 98-84=14, Resulting Numbers: [86, 14] Generated Node #3: [86, 14] from Operation: 98-84=14 Current State: 72:[86, 14], Operations: ['61+25=86', '98-84=14'] Exploring Operation: 86-14=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 17, 59, 48, 51 ]
14
[ "59-17=42", "51-48=3", "42/3=14" ]
Current State: 14:[17, 59, 48, 51], Operations: [] Exploring Operation: 59-17=42, Resulting Numbers: [48, 51, 42] Generated Node #2: [48, 51, 42] from Operation: 59-17=42 Current State: 14:[48, 51, 42], Operations: ['59-17=42'] Exploring Operation: 51-48=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 51-48=3 Current State: 14:[42, 3], Operations: ['59-17=42', '51-48=3'] Exploring Operation: 42/3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 45, 26, 85, 27 ]
41
[ "45+26=71", "85+27=112", "112-71=41" ]
Current State: 41:[45, 26, 85, 27], Operations: [] Exploring Operation: 45+26=71, Resulting Numbers: [85, 27, 71] Generated Node #2: [85, 27, 71] from Operation: 45+26=71 Current State: 41:[85, 27, 71], Operations: ['45+26=71'] Exploring Operation: 85+27=112, Resulting Numbers: [71, 112] Generated Node #3: [71, 112] from Operation: 85+27=112 Current State: 41:[71, 112], Operations: ['45+26=71', '85+27=112'] Exploring Operation: 112-71=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 4, 13, 96, 30 ]
14
[ "4*13=52", "96-30=66", "66-52=14" ]
Current State: 14:[4, 13, 96, 30], Operations: [] Exploring Operation: 4*13=52, Resulting Numbers: [96, 30, 52] Generated Node #2: [96, 30, 52] from Operation: 4*13=52 Current State: 14:[96, 30, 52], Operations: ['4*13=52'] Exploring Operation: 96-30=66, Resulting Numbers: [52, 66] Generated Node #3: [52, 66] from Operation: 96-30=66 Current State: 14:[52, 66], Operations: ['4*13=52', '96-30=66'] Exploring Operation: 66-52=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 92, 98, 12, 84 ]
86
[ "98-92=6", "12/6=2", "84+2=86" ]
Current State: 86:[92, 98, 12, 84], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [12, 84, 6] Generated Node #2: [12, 84, 6] from Operation: 98-92=6 Current State: 86:[12, 84, 6], Operations: ['98-92=6'] Exploring Operation: 12/6=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 12/6=2 Current State: 86:[84, 2], Operations: ['98-92=6', '12/6=2'] Exploring Operation: 84+2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 92, 99, 86, 95 ]
39
[ "95-92=3", "99-86=13", "3*13=39" ]
Current State: 39:[92, 99, 86, 95], Operations: [] Exploring Operation: 95-92=3, Resulting Numbers: [99, 86, 3] Generated Node #2: [99, 86, 3] from Operation: 95-92=3 Current State: 39:[99, 86, 3], Operations: ['95-92=3'] Exploring Operation: 99-86=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 99-86=13 Current State: 39:[3, 13], Operations: ['95-92=3', '99-86=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 98, 18, 5, 2 ]
26
[ "98/2=49", "18+5=23", "49-23=26" ]
Current State: 26:[98, 18, 5, 2], Operations: [] Exploring Operation: 98/2=49, Resulting Numbers: [18, 5, 49] Generated Node #2: [18, 5, 49] from Operation: 98/2=49 Current State: 26:[18, 5, 49], Operations: ['98/2=49'] Exploring Operation: 18+5=23, Resulting Numbers: [49, 23] Generated Node #3: [49, 23] from Operation: 18+5=23 Current State: 26:[49, 23], Operations: ['98/2=49', '18+5=23'] Exploring Operation: 49-23=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 51, 54, 61, 15 ]
96
[ "61-51=10", "15*10=150", "150-54=96" ]
Current State: 96:[51, 54, 61, 15], Operations: [] Exploring Operation: 61-51=10, Resulting Numbers: [54, 15, 10] Generated Node #2: [54, 15, 10] from Operation: 61-51=10 Current State: 96:[54, 15, 10], Operations: ['61-51=10'] Exploring Operation: 15*10=150, Resulting Numbers: [54, 150] Generated Node #3: [54, 150] from Operation: 15*10=150 Current State: 96:[54, 150], Operations: ['61-51=10', '15*10=150'] Exploring Operation: 150-54=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 3, 85, 43 ]
67
[ "85-13=72", "72/3=24", "43+24=67" ]
Current State: 67:[13, 3, 85, 43], Operations: [] Exploring Operation: 85-13=72, Resulting Numbers: [3, 43, 72] Generated Node #2: [3, 43, 72] from Operation: 85-13=72 Current State: 67:[3, 43, 72], Operations: ['85-13=72'] Exploring Operation: 72/3=24, Resulting Numbers: [43, 24] Generated Node #3: [43, 24] from Operation: 72/3=24 Current State: 67:[43, 24], Operations: ['85-13=72', '72/3=24'] Exploring Operation: 43+24=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 45, 32, 9, 18 ]
79
[ "45+32=77", "18/9=2", "77+2=79" ]
Current State: 79:[45, 32, 9, 18], Operations: [] Exploring Operation: 45+32=77, Resulting Numbers: [9, 18, 77] Generated Node #2: [9, 18, 77] from Operation: 45+32=77 Current State: 79:[9, 18, 77], Operations: ['45+32=77'] Exploring Operation: 18/9=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 18/9=2 Current State: 79:[77, 2], Operations: ['45+32=77', '18/9=2'] Exploring Operation: 77+2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 28, 4, 65, 88 ]
20
[ "28+65=93", "93-88=5", "4*5=20" ]
Current State: 20:[28, 4, 65, 88], Operations: [] Exploring Operation: 28+65=93, Resulting Numbers: [4, 88, 93] Generated Node #2: [4, 88, 93] from Operation: 28+65=93 Current State: 20:[4, 88, 93], Operations: ['28+65=93'] Exploring Operation: 93-88=5, Resulting Numbers: [4, 5] Generated Node #3: [4, 5] from Operation: 93-88=5 Current State: 20:[4, 5], Operations: ['28+65=93', '93-88=5'] Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 4, 66, 90, 22 ]
49
[ "90-22=68", "68/4=17", "66-17=49" ]
Current State: 49:[4, 66, 90, 22], Operations: [] Exploring Operation: 90-22=68, Resulting Numbers: [4, 66, 68] Generated Node #2: [4, 66, 68] from Operation: 90-22=68 Current State: 49:[4, 66, 68], Operations: ['90-22=68'] Exploring Operation: 68/4=17, Resulting Numbers: [66, 17] Generated Node #3: [66, 17] from Operation: 68/4=17 Current State: 49:[66, 17], Operations: ['90-22=68', '68/4=17'] Exploring Operation: 66-17=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 24, 77, 4, 60 ]
79
[ "24*4=96", "77-60=17", "96-17=79" ]
Current State: 79:[24, 77, 4, 60], Operations: [] Exploring Operation: 24*4=96, Resulting Numbers: [77, 60, 96] Generated Node #2: [77, 60, 96] from Operation: 24*4=96 Current State: 79:[77, 60, 96], Operations: ['24*4=96'] Exploring Operation: 77-60=17, Resulting Numbers: [96, 17] Generated Node #3: [96, 17] from Operation: 77-60=17 Current State: 79:[96, 17], Operations: ['24*4=96', '77-60=17'] Exploring Operation: 96-17=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 66, 50, 82, 91 ]
33
[ "91-50=41", "66*41=2706", "2706/82=33" ]
Current State: 33:[66, 50, 82, 91], Operations: [] Exploring Operation: 91-50=41, Resulting Numbers: [66, 82, 41] Generated Node #2: [66, 82, 41] from Operation: 91-50=41 Current State: 33:[66, 82, 41], Operations: ['91-50=41'] Exploring Operation: 66*41=2706, Resulting Numbers: [82, 2706] Generated Node #3: [82, 2706] from Operation: 66*41=2706 Current State: 33:[82, 2706], Operations: ['91-50=41', '66*41=2706'] Exploring Operation: 2706/82=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 30, 55, 69, 12 ]
82
[ "55-30=25", "69-12=57", "25+57=82" ]
Current State: 82:[30, 55, 69, 12], Operations: [] Exploring Operation: 55-30=25, Resulting Numbers: [69, 12, 25] Generated Node #2: [69, 12, 25] from Operation: 55-30=25 Current State: 82:[69, 12, 25], Operations: ['55-30=25'] Exploring Operation: 69-12=57, Resulting Numbers: [25, 57] Generated Node #3: [25, 57] from Operation: 69-12=57 Current State: 82:[25, 57], Operations: ['55-30=25', '69-12=57'] Exploring Operation: 25+57=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 16, 42, 61, 2 ]
22
[ "61-42=19", "2*19=38", "38-16=22" ]
Current State: 22:[16, 42, 61, 2], Operations: [] Exploring Operation: 61-42=19, Resulting Numbers: [16, 2, 19] Generated Node #2: [16, 2, 19] from Operation: 61-42=19 Current State: 22:[16, 2, 19], Operations: ['61-42=19'] Exploring Operation: 2*19=38, Resulting Numbers: [16, 38] Generated Node #3: [16, 38] from Operation: 2*19=38 Current State: 22:[16, 38], Operations: ['61-42=19', '2*19=38'] Exploring Operation: 38-16=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 68, 48, 22, 30 ]
12
[ "68-48=20", "30-22=8", "20-8=12" ]
Current State: 12:[68, 48, 22, 30], Operations: [] Exploring Operation: 68-48=20, Resulting Numbers: [22, 30, 20] Generated Node #2: [22, 30, 20] from Operation: 68-48=20 Current State: 12:[22, 30, 20], Operations: ['68-48=20'] Exploring Operation: 30-22=8, Resulting Numbers: [20, 8] Generated Node #3: [20, 8] from Operation: 30-22=8 Current State: 12:[20, 8], Operations: ['68-48=20', '30-22=8'] Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 23, 6, 94, 15 ]
96
[ "23-6=17", "94-15=79", "17+79=96" ]
Current State: 96:[23, 6, 94, 15], Operations: [] Exploring Operation: 23-6=17, Resulting Numbers: [94, 15, 17] Generated Node #2: [94, 15, 17] from Operation: 23-6=17 Current State: 96:[94, 15, 17], Operations: ['23-6=17'] Exploring Operation: 94-15=79, Resulting Numbers: [17, 79] Generated Node #3: [17, 79] from Operation: 94-15=79 Current State: 96:[17, 79], Operations: ['23-6=17', '94-15=79'] Exploring Operation: 17+79=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 58, 11, 82, 51 ]
38
[ "58+11=69", "82-51=31", "69-31=38" ]
Current State: 38:[58, 11, 82, 51], Operations: [] Exploring Operation: 58+11=69, Resulting Numbers: [82, 51, 69] Generated Node #2: [82, 51, 69] from Operation: 58+11=69 Current State: 38:[82, 51, 69], Operations: ['58+11=69'] Exploring Operation: 82-51=31, Resulting Numbers: [69, 31] Generated Node #3: [69, 31] from Operation: 82-51=31 Current State: 38:[69, 31], Operations: ['58+11=69', '82-51=31'] Exploring Operation: 69-31=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 37, 22, 15, 88 ]
48
[ "37+15=52", "88/22=4", "52-4=48" ]
Current State: 48:[37, 22, 15, 88], Operations: [] Exploring Operation: 37+15=52, Resulting Numbers: [22, 88, 52] Generated Node #2: [22, 88, 52] from Operation: 37+15=52 Current State: 48:[22, 88, 52], Operations: ['37+15=52'] Exploring Operation: 88/22=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 88/22=4 Current State: 48:[52, 4], Operations: ['37+15=52', '88/22=4'] Exploring Operation: 52-4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 6, 22, 30, 44 ]
21
[ "22*30=660", "660/44=15", "6+15=21" ]
Current State: 21:[6, 22, 30, 44], Operations: [] Exploring Operation: 22*30=660, Resulting Numbers: [6, 44, 660] Generated Node #2: [6, 44, 660] from Operation: 22*30=660 Current State: 21:[6, 44, 660], Operations: ['22*30=660'] Exploring Operation: 660/44=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 660/44=15 Current State: 21:[6, 15], Operations: ['22*30=660', '660/44=15'] Exploring Operation: 6+15=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 10, 89, 71, 74 ]
58
[ "89+71=160", "160/10=16", "74-16=58" ]
Current State: 58:[10, 89, 71, 74], Operations: [] Exploring Operation: 89+71=160, Resulting Numbers: [10, 74, 160] Generated Node #2: [10, 74, 160] from Operation: 89+71=160 Current State: 58:[10, 74, 160], Operations: ['89+71=160'] Exploring Operation: 160/10=16, Resulting Numbers: [74, 16] Generated Node #3: [74, 16] from Operation: 160/10=16 Current State: 58:[74, 16], Operations: ['89+71=160', '160/10=16'] Exploring Operation: 74-16=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 93, 15, 27, 59 ]
76
[ "93+15=108", "59-27=32", "108-32=76" ]
Current State: 76:[93, 15, 27, 59], Operations: [] Exploring Operation: 93+15=108, Resulting Numbers: [27, 59, 108] Generated Node #2: [27, 59, 108] from Operation: 93+15=108 Current State: 76:[27, 59, 108], Operations: ['93+15=108'] Exploring Operation: 59-27=32, Resulting Numbers: [108, 32] Generated Node #3: [108, 32] from Operation: 59-27=32 Current State: 76:[108, 32], Operations: ['93+15=108', '59-27=32'] Exploring Operation: 108-32=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 41, 7, 55, 96 ]
89
[ "41+7=48", "96-55=41", "48+41=89" ]
Current State: 89:[41, 7, 55, 96], Operations: [] Exploring Operation: 41+7=48, Resulting Numbers: [55, 96, 48] Generated Node #2: [55, 96, 48] from Operation: 41+7=48 Current State: 89:[55, 96, 48], Operations: ['41+7=48'] Exploring Operation: 96-55=41, Resulting Numbers: [48, 41] Generated Node #3: [48, 41] from Operation: 96-55=41 Current State: 89:[48, 41], Operations: ['41+7=48', '96-55=41'] Exploring Operation: 48+41=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 71, 59, 72, 25 ]
34
[ "72-71=1", "59-25=34", "1*34=34" ]
Current State: 34:[71, 59, 72, 25], Operations: [] Exploring Operation: 72-71=1, Resulting Numbers: [59, 25, 1] Generated Node #2: [59, 25, 1] from Operation: 72-71=1 Current State: 34:[59, 25, 1], Operations: ['72-71=1'] Exploring Operation: 59-25=34, Resulting Numbers: [1, 34] Generated Node #3: [1, 34] from Operation: 59-25=34 Current State: 34:[1, 34], Operations: ['72-71=1', '59-25=34'] Exploring Operation: 1*34=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 61, 99, 39, 3 ]
51
[ "99-61=38", "39/3=13", "38+13=51" ]
Current State: 51:[61, 99, 39, 3], Operations: [] Exploring Operation: 99-61=38, Resulting Numbers: [39, 3, 38] Generated Node #2: [39, 3, 38] from Operation: 99-61=38 Current State: 51:[39, 3, 38], Operations: ['99-61=38'] Exploring Operation: 39/3=13, Resulting Numbers: [38, 13] Generated Node #3: [38, 13] from Operation: 39/3=13 Current State: 51:[38, 13], Operations: ['99-61=38', '39/3=13'] Exploring Operation: 38+13=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 56, 5, 20, 24 ]
47
[ "56-5=51", "24-20=4", "51-4=47" ]
Current State: 47:[56, 5, 20, 24], Operations: [] Exploring Operation: 56-5=51, Resulting Numbers: [20, 24, 51] Generated Node #2: [20, 24, 51] from Operation: 56-5=51 Current State: 47:[20, 24, 51], Operations: ['56-5=51'] Exploring Operation: 24-20=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 24-20=4 Current State: 47:[51, 4], Operations: ['56-5=51', '24-20=4'] Exploring Operation: 51-4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 77, 48, 99, 21 ]
70
[ "48+99=147", "147/21=7", "77-7=70" ]
Current State: 70:[77, 48, 99, 21], Operations: [] Exploring Operation: 48+99=147, Resulting Numbers: [77, 21, 147] Generated Node #2: [77, 21, 147] from Operation: 48+99=147 Current State: 70:[77, 21, 147], Operations: ['48+99=147'] Exploring Operation: 147/21=7, Resulting Numbers: [77, 7] Generated Node #3: [77, 7] from Operation: 147/21=7 Current State: 70:[77, 7], Operations: ['48+99=147', '147/21=7'] Exploring Operation: 77-7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 13, 7, 26, 22 ]
31
[ "26/13=2", "7+22=29", "2+29=31" ]
Current State: 31:[13, 7, 26, 22], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [7, 22, 2] Generated Node #2: [7, 22, 2] from Operation: 26/13=2 Current State: 31:[7, 22, 2], Operations: ['26/13=2'] Exploring Operation: 7+22=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 7+22=29 Current State: 31:[2, 29], Operations: ['26/13=2', '7+22=29'] Exploring Operation: 2+29=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 7, 25, 74, 10 ]
70
[ "74-25=49", "49/7=7", "10*7=70" ]
Current State: 70:[7, 25, 74, 10], Operations: [] Exploring Operation: 74-25=49, Resulting Numbers: [7, 10, 49] Generated Node #2: [7, 10, 49] from Operation: 74-25=49 Current State: 70:[7, 10, 49], Operations: ['74-25=49'] Exploring Operation: 49/7=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 49/7=7 Current State: 70:[10, 7], Operations: ['74-25=49', '49/7=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 88, 84, 36, 62 ]
94
[ "88-84=4", "36+62=98", "98-4=94" ]
Current State: 94:[88, 84, 36, 62], Operations: [] Exploring Operation: 88-84=4, Resulting Numbers: [36, 62, 4] Generated Node #2: [36, 62, 4] from Operation: 88-84=4 Current State: 94:[36, 62, 4], Operations: ['88-84=4'] Exploring Operation: 36+62=98, Resulting Numbers: [4, 98] Generated Node #3: [4, 98] from Operation: 36+62=98 Current State: 94:[4, 98], Operations: ['88-84=4', '36+62=98'] Exploring Operation: 98-4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 15, 59, 6 ]
68
[ "30-15=15", "59-6=53", "15+53=68" ]
Current State: 68:[30, 15, 59, 6], Operations: [] Exploring Operation: 30-15=15, Resulting Numbers: [59, 6, 15] Generated Node #2: [59, 6, 15] from Operation: 30-15=15 Current State: 68:[59, 6, 15], Operations: ['30-15=15'] Exploring Operation: 59-6=53, Resulting Numbers: [15, 53] Generated Node #3: [15, 53] from Operation: 59-6=53 Current State: 68:[15, 53], Operations: ['30-15=15', '59-6=53'] Exploring Operation: 15+53=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 54, 30, 24, 44 ]
21
[ "54-44=10", "30/10=3", "24-3=21" ]
Current State: 21:[54, 30, 24, 44], Operations: [] Exploring Operation: 54-44=10, Resulting Numbers: [30, 24, 10] Generated Node #2: [30, 24, 10] from Operation: 54-44=10 Current State: 21:[30, 24, 10], Operations: ['54-44=10'] Exploring Operation: 30/10=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 30/10=3 Current State: 21:[24, 3], Operations: ['54-44=10', '30/10=3'] Exploring Operation: 24-3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 7, 18, 54, 13 ]
46
[ "54/18=3", "13*3=39", "7+39=46" ]
Current State: 46:[7, 18, 54, 13], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [7, 13, 3] Generated Node #2: [7, 13, 3] from Operation: 54/18=3 Current State: 46:[7, 13, 3], Operations: ['54/18=3'] Exploring Operation: 13*3=39, Resulting Numbers: [7, 39] Generated Node #3: [7, 39] from Operation: 13*3=39 Current State: 46:[7, 39], Operations: ['54/18=3', '13*3=39'] Exploring Operation: 7+39=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 92, 55, 37, 95 ]
89
[ "92+55=147", "95-37=58", "147-58=89" ]
Current State: 89:[92, 55, 37, 95], Operations: [] Exploring Operation: 92+55=147, Resulting Numbers: [37, 95, 147] Generated Node #2: [37, 95, 147] from Operation: 92+55=147 Current State: 89:[37, 95, 147], Operations: ['92+55=147'] Exploring Operation: 95-37=58, Resulting Numbers: [147, 58] Generated Node #3: [147, 58] from Operation: 95-37=58 Current State: 89:[147, 58], Operations: ['92+55=147', '95-37=58'] Exploring Operation: 147-58=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 91, 96, 75, 41 ]
35
[ "91-75=16", "96/16=6", "41-6=35" ]
Current State: 35:[91, 96, 75, 41], Operations: [] Exploring Operation: 91-75=16, Resulting Numbers: [96, 41, 16] Generated Node #2: [96, 41, 16] from Operation: 91-75=16 Current State: 35:[96, 41, 16], Operations: ['91-75=16'] Exploring Operation: 96/16=6, Resulting Numbers: [41, 6] Generated Node #3: [41, 6] from Operation: 96/16=6 Current State: 35:[41, 6], Operations: ['91-75=16', '96/16=6'] Exploring Operation: 41-6=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 22, 82, 44, 63 ]
41
[ "82-22=60", "63-44=19", "60-19=41" ]
Current State: 41:[22, 82, 44, 63], Operations: [] Exploring Operation: 82-22=60, Resulting Numbers: [44, 63, 60] Generated Node #2: [44, 63, 60] from Operation: 82-22=60 Current State: 41:[44, 63, 60], Operations: ['82-22=60'] Exploring Operation: 63-44=19, Resulting Numbers: [60, 19] Generated Node #3: [60, 19] from Operation: 63-44=19 Current State: 41:[60, 19], Operations: ['82-22=60', '63-44=19'] Exploring Operation: 60-19=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 75, 71, 71, 63 ]
12
[ "75+71=146", "71+63=134", "146-134=12" ]
Current State: 12:[75, 71, 71, 63], Operations: [] Exploring Operation: 75+71=146, Resulting Numbers: [63, 146] Generated Node #2: [63, 146] from Operation: 75+71=146 Current State: 12:[63, 146], Operations: ['75+71=146'] Exploring Operation: 71+63=134, Resulting Numbers: [146, 134] Generated Node #3: [146, 134] from Operation: 71+63=134 Current State: 12:[146, 134], Operations: ['75+71=146', '71+63=134'] Exploring Operation: 146-134=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 11, 5, 31, 16 ]
90
[ "11-5=6", "31-16=15", "6*15=90" ]
Current State: 90:[11, 5, 31, 16], Operations: [] Exploring Operation: 11-5=6, Resulting Numbers: [31, 16, 6] Generated Node #2: [31, 16, 6] from Operation: 11-5=6 Current State: 90:[31, 16, 6], Operations: ['11-5=6'] Exploring Operation: 31-16=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 31-16=15 Current State: 90:[6, 15], Operations: ['11-5=6', '31-16=15'] Exploring Operation: 6*15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 43, 52, 54, 24 ]
30
[ "52-43=9", "54/9=6", "24+6=30" ]
Current State: 30:[43, 52, 54, 24], Operations: [] Exploring Operation: 52-43=9, Resulting Numbers: [54, 24, 9] Generated Node #2: [54, 24, 9] from Operation: 52-43=9 Current State: 30:[54, 24, 9], Operations: ['52-43=9'] Exploring Operation: 54/9=6, Resulting Numbers: [24, 6] Generated Node #3: [24, 6] from Operation: 54/9=6 Current State: 30:[24, 6], Operations: ['52-43=9', '54/9=6'] Exploring Operation: 24+6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 94, 63, 30, 10 ]
40
[ "94-10=84", "30*84=2520", "2520/63=40" ]
Current State: 40:[94, 63, 30, 10], Operations: [] Exploring Operation: 94-10=84, Resulting Numbers: [63, 30, 84] Generated Node #2: [63, 30, 84] from Operation: 94-10=84 Current State: 40:[63, 30, 84], Operations: ['94-10=84'] Exploring Operation: 30*84=2520, Resulting Numbers: [63, 2520] Generated Node #3: [63, 2520] from Operation: 30*84=2520 Current State: 40:[63, 2520], Operations: ['94-10=84', '30*84=2520'] Exploring Operation: 2520/63=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 2, 5, 23, 67 ]
16
[ "2*23=46", "67-5=62", "62-46=16" ]
Current State: 16:[2, 5, 23, 67], Operations: [] Exploring Operation: 2*23=46, Resulting Numbers: [5, 67, 46] Generated Node #2: [5, 67, 46] from Operation: 2*23=46 Current State: 16:[5, 67, 46], Operations: ['2*23=46'] Exploring Operation: 67-5=62, Resulting Numbers: [46, 62] Generated Node #3: [46, 62] from Operation: 67-5=62 Current State: 16:[46, 62], Operations: ['2*23=46', '67-5=62'] Exploring Operation: 62-46=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 88, 9, 7, 80 ]
10
[ "88+9=97", "7+80=87", "97-87=10" ]
Current State: 10:[88, 9, 7, 80], Operations: [] Exploring Operation: 88+9=97, Resulting Numbers: [7, 80, 97] Generated Node #2: [7, 80, 97] from Operation: 88+9=97 Current State: 10:[7, 80, 97], Operations: ['88+9=97'] Exploring Operation: 7+80=87, Resulting Numbers: [97, 87] Generated Node #3: [97, 87] from Operation: 7+80=87 Current State: 10:[97, 87], Operations: ['88+9=97', '7+80=87'] Exploring Operation: 97-87=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 89, 72, 39, 43 ]
21
[ "89-72=17", "43-39=4", "17+4=21" ]
Current State: 21:[89, 72, 39, 43], Operations: [] Exploring Operation: 89-72=17, Resulting Numbers: [39, 43, 17] Generated Node #2: [39, 43, 17] from Operation: 89-72=17 Current State: 21:[39, 43, 17], Operations: ['89-72=17'] Exploring Operation: 43-39=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 43-39=4 Current State: 21:[17, 4], Operations: ['89-72=17', '43-39=4'] Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 68, 60, 63, 6 ]
15
[ "68-60=8", "6*8=48", "63-48=15" ]
Current State: 15:[68, 60, 63, 6], Operations: [] Exploring Operation: 68-60=8, Resulting Numbers: [63, 6, 8] Generated Node #2: [63, 6, 8] from Operation: 68-60=8 Current State: 15:[63, 6, 8], Operations: ['68-60=8'] Exploring Operation: 6*8=48, Resulting Numbers: [63, 48] Generated Node #3: [63, 48] from Operation: 6*8=48 Current State: 15:[63, 48], Operations: ['68-60=8', '6*8=48'] Exploring Operation: 63-48=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 56, 11, 14, 28 ]
25
[ "56+11=67", "14+28=42", "67-42=25" ]
Current State: 25:[56, 11, 14, 28], Operations: [] Exploring Operation: 56+11=67, Resulting Numbers: [14, 28, 67] Generated Node #2: [14, 28, 67] from Operation: 56+11=67 Current State: 25:[14, 28, 67], Operations: ['56+11=67'] Exploring Operation: 14+28=42, Resulting Numbers: [67, 42] Generated Node #3: [67, 42] from Operation: 14+28=42 Current State: 25:[67, 42], Operations: ['56+11=67', '14+28=42'] Exploring Operation: 67-42=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 12, 80, 78, 12 ]
80
[ "12-12=0", "78*0=0", "80+0=80" ]
Current State: 80:[12, 80, 78, 12], Operations: [] Exploring Operation: 12-12=0, Resulting Numbers: [80, 78, 0] Generated Node #2: [80, 78, 0] from Operation: 12-12=0 Current State: 80:[80, 78, 0], Operations: ['12-12=0'] Exploring Operation: 78*0=0, Resulting Numbers: [80, 0] Generated Node #3: [80, 0] from Operation: 78*0=0 Current State: 80:[80, 0], Operations: ['12-12=0', '78*0=0'] Exploring Operation: 80+0=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 60, 15, 22, 36 ]
56
[ "60/15=4", "36-22=14", "4*14=56" ]
Current State: 56:[60, 15, 22, 36], Operations: [] Exploring Operation: 60/15=4, Resulting Numbers: [22, 36, 4] Generated Node #2: [22, 36, 4] from Operation: 60/15=4 Current State: 56:[22, 36, 4], Operations: ['60/15=4'] Exploring Operation: 36-22=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 36-22=14 Current State: 56:[4, 14], Operations: ['60/15=4', '36-22=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 32, 75, 76, 78 ]
91
[ "78-76=2", "32/2=16", "75+16=91" ]
Current State: 91:[32, 75, 76, 78], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [32, 75, 2] Generated Node #2: [32, 75, 2] from Operation: 78-76=2 Current State: 91:[32, 75, 2], Operations: ['78-76=2'] Exploring Operation: 32/2=16, Resulting Numbers: [75, 16] Generated Node #3: [75, 16] from Operation: 32/2=16 Current State: 91:[75, 16], Operations: ['78-76=2', '32/2=16'] Exploring Operation: 75+16=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 44, 53, 96, 75 ]
74
[ "44+53=97", "96+75=171", "171-97=74" ]
Current State: 74:[44, 53, 96, 75], Operations: [] Exploring Operation: 44+53=97, Resulting Numbers: [96, 75, 97] Generated Node #2: [96, 75, 97] from Operation: 44+53=97 Current State: 74:[96, 75, 97], Operations: ['44+53=97'] Exploring Operation: 96+75=171, Resulting Numbers: [97, 171] Generated Node #3: [97, 171] from Operation: 96+75=171 Current State: 74:[97, 171], Operations: ['44+53=97', '96+75=171'] Exploring Operation: 171-97=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 5, 4, 51, 59 ]
44
[ "59-51=8", "5*8=40", "4+40=44" ]
Current State: 44:[5, 4, 51, 59], Operations: [] Exploring Operation: 59-51=8, Resulting Numbers: [5, 4, 8] Generated Node #2: [5, 4, 8] from Operation: 59-51=8 Current State: 44:[5, 4, 8], Operations: ['59-51=8'] Exploring Operation: 5*8=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 5*8=40 Current State: 44:[4, 40], Operations: ['59-51=8', '5*8=40'] Exploring Operation: 4+40=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 27, 67, 91, 77 ]
54
[ "67-27=40", "91-77=14", "40+14=54" ]
Current State: 54:[27, 67, 91, 77], Operations: [] Exploring Operation: 67-27=40, Resulting Numbers: [91, 77, 40] Generated Node #2: [91, 77, 40] from Operation: 67-27=40 Current State: 54:[91, 77, 40], Operations: ['67-27=40'] Exploring Operation: 91-77=14, Resulting Numbers: [40, 14] Generated Node #3: [40, 14] from Operation: 91-77=14 Current State: 54:[40, 14], Operations: ['67-27=40', '91-77=14'] Exploring Operation: 40+14=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 87, 84, 99, 11 ]
85
[ "87-84=3", "99-11=88", "88-3=85" ]
Current State: 85:[87, 84, 99, 11], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [99, 11, 3] Generated Node #2: [99, 11, 3] from Operation: 87-84=3 Current State: 85:[99, 11, 3], Operations: ['87-84=3'] Exploring Operation: 99-11=88, Resulting Numbers: [3, 88] Generated Node #3: [3, 88] from Operation: 99-11=88 Current State: 85:[3, 88], Operations: ['87-84=3', '99-11=88'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 57, 84, 56, 42 ]
71
[ "84-57=27", "56+42=98", "98-27=71" ]
Current State: 71:[57, 84, 56, 42], Operations: [] Exploring Operation: 84-57=27, Resulting Numbers: [56, 42, 27] Generated Node #2: [56, 42, 27] from Operation: 84-57=27 Current State: 71:[56, 42, 27], Operations: ['84-57=27'] Exploring Operation: 56+42=98, Resulting Numbers: [27, 98] Generated Node #3: [27, 98] from Operation: 56+42=98 Current State: 71:[27, 98], Operations: ['84-57=27', '56+42=98'] Exploring Operation: 98-27=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 1, 14, 42, 39 ]
16
[ "14-1=13", "42-39=3", "13+3=16" ]
Current State: 16:[1, 14, 42, 39], Operations: [] Exploring Operation: 14-1=13, Resulting Numbers: [42, 39, 13] Generated Node #2: [42, 39, 13] from Operation: 14-1=13 Current State: 16:[42, 39, 13], Operations: ['14-1=13'] Exploring Operation: 42-39=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 42-39=3 Current State: 16:[13, 3], Operations: ['14-1=13', '42-39=3'] Exploring Operation: 13+3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 53, 59, 8, 43 ]
55
[ "59-43=16", "16/8=2", "53+2=55" ]
Current State: 55:[53, 59, 8, 43], Operations: [] Exploring Operation: 59-43=16, Resulting Numbers: [53, 8, 16] Generated Node #2: [53, 8, 16] from Operation: 59-43=16 Current State: 55:[53, 8, 16], Operations: ['59-43=16'] Exploring Operation: 16/8=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 16/8=2 Current State: 55:[53, 2], Operations: ['59-43=16', '16/8=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 10, 73, 51, 35 ]
99
[ "10+73=83", "51-35=16", "83+16=99" ]
Current State: 99:[10, 73, 51, 35], Operations: [] Exploring Operation: 10+73=83, Resulting Numbers: [51, 35, 83] Generated Node #2: [51, 35, 83] from Operation: 10+73=83 Current State: 99:[51, 35, 83], Operations: ['10+73=83'] Exploring Operation: 51-35=16, Resulting Numbers: [83, 16] Generated Node #3: [83, 16] from Operation: 51-35=16 Current State: 99:[83, 16], Operations: ['10+73=83', '51-35=16'] Exploring Operation: 83+16=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 92, 7, 30, 21 ]
17
[ "30-7=23", "92/23=4", "21-4=17" ]
Current State: 17:[92, 7, 30, 21], Operations: [] Exploring Operation: 30-7=23, Resulting Numbers: [92, 21, 23] Generated Node #2: [92, 21, 23] from Operation: 30-7=23 Current State: 17:[92, 21, 23], Operations: ['30-7=23'] Exploring Operation: 92/23=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 92/23=4 Current State: 17:[21, 4], Operations: ['30-7=23', '92/23=4'] Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 7, 70, 2, 76 ]
43
[ "70/7=10", "76+10=86", "86/2=43" ]
Current State: 43:[7, 70, 2, 76], Operations: [] Exploring Operation: 70/7=10, Resulting Numbers: [2, 76, 10] Generated Node #2: [2, 76, 10] from Operation: 70/7=10 Current State: 43:[2, 76, 10], Operations: ['70/7=10'] Exploring Operation: 76+10=86, Resulting Numbers: [2, 86] Generated Node #3: [2, 86] from Operation: 76+10=86 Current State: 43:[2, 86], Operations: ['70/7=10', '76+10=86'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 49, 29, 33, 5 ]
49
[ "33-29=4", "5-4=1", "49*1=49" ]
Current State: 49:[49, 29, 33, 5], Operations: [] Exploring Operation: 33-29=4, Resulting Numbers: [49, 5, 4] Generated Node #2: [49, 5, 4] from Operation: 33-29=4 Current State: 49:[49, 5, 4], Operations: ['33-29=4'] Exploring Operation: 5-4=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 5-4=1 Current State: 49:[49, 1], Operations: ['33-29=4', '5-4=1'] Exploring Operation: 49*1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 16, 84, 23, 53 ]
41
[ "23-16=7", "84/7=12", "53-12=41" ]
Current State: 41:[16, 84, 23, 53], Operations: [] Exploring Operation: 23-16=7, Resulting Numbers: [84, 53, 7] Generated Node #2: [84, 53, 7] from Operation: 23-16=7 Current State: 41:[84, 53, 7], Operations: ['23-16=7'] Exploring Operation: 84/7=12, Resulting Numbers: [53, 12] Generated Node #3: [53, 12] from Operation: 84/7=12 Current State: 41:[53, 12], Operations: ['23-16=7', '84/7=12'] Exploring Operation: 53-12=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 25, 41, 9, 78 ]
76
[ "41+9=50", "50/25=2", "78-2=76" ]
Current State: 76:[25, 41, 9, 78], Operations: [] Exploring Operation: 41+9=50, Resulting Numbers: [25, 78, 50] Generated Node #2: [25, 78, 50] from Operation: 41+9=50 Current State: 76:[25, 78, 50], Operations: ['41+9=50'] Exploring Operation: 50/25=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 50/25=2 Current State: 76:[78, 2], Operations: ['41+9=50', '50/25=2'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 5, 33, 82 ]
81
[ "2+82=84", "5*33=165", "165-84=81" ]
Current State: 81:[2, 5, 33, 82], Operations: [] Exploring Operation: 2+82=84, Resulting Numbers: [5, 33, 84] Generated Node #2: [5, 33, 84] from Operation: 2+82=84 Current State: 81:[5, 33, 84], Operations: ['2+82=84'] Exploring Operation: 5*33=165, Resulting Numbers: [84, 165] Generated Node #3: [84, 165] from Operation: 5*33=165 Current State: 81:[84, 165], Operations: ['2+82=84', '5*33=165'] Exploring Operation: 165-84=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 20, 56, 8, 9 ]
77
[ "20+56=76", "9-8=1", "76+1=77" ]
Current State: 77:[20, 56, 8, 9], Operations: [] Exploring Operation: 20+56=76, Resulting Numbers: [8, 9, 76] Generated Node #2: [8, 9, 76] from Operation: 20+56=76 Current State: 77:[8, 9, 76], Operations: ['20+56=76'] Exploring Operation: 9-8=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 9-8=1 Current State: 77:[76, 1], Operations: ['20+56=76', '9-8=1'] Exploring Operation: 76+1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4