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
[ 97, 22, 68, 5 ]
53
[ "97-22=75", "75/5=15", "68-15=53" ]
Current State: 53:[97, 22, 68, 5], Operations: [] Exploring Operation: 97-22=75, Resulting Numbers: [68, 5, 75] Generated Node #2: [68, 5, 75] from Operation: 97-22=75 Current State: 53:[68, 5, 75], Operations: ['97-22=75'] Exploring Operation: 75/5=15, Resulting Numbers: [68, 15] Generated Node #3: [68, 15] from Operation: 75/5=15 Current State: 53:[68, 15], Operations: ['97-22=75', '75/5=15'] Exploring Operation: 68-15=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 97, 38, 10, 95 ]
56
[ "97-95=2", "38-10=28", "2*28=56" ]
Current State: 56:[97, 38, 10, 95], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [38, 10, 2] Generated Node #2: [38, 10, 2] from Operation: 97-95=2 Current State: 56:[38, 10, 2], Operations: ['97-95=2'] Exploring Operation: 38-10=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 38-10=28 Current State: 56:[2, 28], Operations: ['97-95=2', '38-10=28'] Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 15, 39, 21, 20 ]
17
[ "39-15=24", "21+20=41", "41-24=17" ]
Current State: 17:[15, 39, 21, 20], Operations: [] Exploring Operation: 39-15=24, Resulting Numbers: [21, 20, 24] Generated Node #2: [21, 20, 24] from Operation: 39-15=24 Current State: 17:[21, 20, 24], Operations: ['39-15=24'] Exploring Operation: 21+20=41, Resulting Numbers: [24, 41] Generated Node #3: [24, 41] from Operation: 21+20=41 Current State: 17:[24, 41], Operations: ['39-15=24', '21+20=41'] Exploring Operation: 41-24=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 11, 23, 1, 83 ]
48
[ "11+23=34", "83-1=82", "82-34=48" ]
Current State: 48:[11, 23, 1, 83], Operations: [] Exploring Operation: 11+23=34, Resulting Numbers: [1, 83, 34] Generated Node #2: [1, 83, 34] from Operation: 11+23=34 Current State: 48:[1, 83, 34], Operations: ['11+23=34'] Exploring Operation: 83-1=82, Resulting Numbers: [34, 82] Generated Node #3: [34, 82] from Operation: 83-1=82 Current State: 48:[34, 82], Operations: ['11+23=34', '83-1=82'] Exploring Operation: 82-34=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 22, 15, 28, 35 ]
49
[ "22-15=7", "35-28=7", "7*7=49" ]
Current State: 49:[22, 15, 28, 35], Operations: [] Exploring Operation: 22-15=7, Resulting Numbers: [28, 35, 7] Generated Node #2: [28, 35, 7] from Operation: 22-15=7 Current State: 49:[28, 35, 7], Operations: ['22-15=7'] Exploring Operation: 35-28=7, Resulting Numbers: [7, 7] Generated Node #3: [7, 7] from Operation: 35-28=7 Current State: 49:[7, 7], Operations: ['22-15=7', '35-28=7'] Exploring Operation: 7*7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 4, 65, 77, 12 ]
96
[ "4+65=69", "77-69=8", "12*8=96" ]
Current State: 96:[4, 65, 77, 12], Operations: [] Exploring Operation: 4+65=69, Resulting Numbers: [77, 12, 69] Generated Node #2: [77, 12, 69] from Operation: 4+65=69 Current State: 96:[77, 12, 69], Operations: ['4+65=69'] Exploring Operation: 77-69=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 77-69=8 Current State: 96:[12, 8], Operations: ['4+65=69', '77-69=8'] Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 79, 22, 78, 69 ]
46
[ "79+22=101", "78+69=147", "147-101=46" ]
Current State: 46:[79, 22, 78, 69], Operations: [] Exploring Operation: 79+22=101, Resulting Numbers: [78, 69, 101] Generated Node #2: [78, 69, 101] from Operation: 79+22=101 Current State: 46:[78, 69, 101], Operations: ['79+22=101'] Exploring Operation: 78+69=147, Resulting Numbers: [101, 147] Generated Node #3: [101, 147] from Operation: 78+69=147 Current State: 46:[101, 147], Operations: ['79+22=101', '78+69=147'] Exploring Operation: 147-101=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 49, 31, 33, 51 ]
32
[ "51-49=2", "31+33=64", "64/2=32" ]
Current State: 32:[49, 31, 33, 51], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [31, 33, 2] Generated Node #2: [31, 33, 2] from Operation: 51-49=2 Current State: 32:[31, 33, 2], Operations: ['51-49=2'] Exploring Operation: 31+33=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 31+33=64 Current State: 32:[2, 64], Operations: ['51-49=2', '31+33=64'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 55, 30, 27, 16 ]
74
[ "55+30=85", "27-16=11", "85-11=74" ]
Current State: 74:[55, 30, 27, 16], Operations: [] Exploring Operation: 55+30=85, Resulting Numbers: [27, 16, 85] Generated Node #2: [27, 16, 85] from Operation: 55+30=85 Current State: 74:[27, 16, 85], Operations: ['55+30=85'] Exploring Operation: 27-16=11, Resulting Numbers: [85, 11] Generated Node #3: [85, 11] from Operation: 27-16=11 Current State: 74:[85, 11], Operations: ['55+30=85', '27-16=11'] Exploring Operation: 85-11=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 56, 46, 49, 48 ]
11
[ "56-46=10", "49-48=1", "10+1=11" ]
Current State: 11:[56, 46, 49, 48], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [49, 48, 10] Generated Node #2: [49, 48, 10] from Operation: 56-46=10 Current State: 11:[49, 48, 10], Operations: ['56-46=10'] Exploring Operation: 49-48=1, Resulting Numbers: [10, 1] Generated Node #3: [10, 1] from Operation: 49-48=1 Current State: 11:[10, 1], Operations: ['56-46=10', '49-48=1'] Exploring Operation: 10+1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 3, 86, 83, 59 ]
78
[ "83-59=24", "24/3=8", "86-8=78" ]
Current State: 78:[3, 86, 83, 59], Operations: [] Exploring Operation: 83-59=24, Resulting Numbers: [3, 86, 24] Generated Node #2: [3, 86, 24] from Operation: 83-59=24 Current State: 78:[3, 86, 24], Operations: ['83-59=24'] Exploring Operation: 24/3=8, Resulting Numbers: [86, 8] Generated Node #3: [86, 8] from Operation: 24/3=8 Current State: 78:[86, 8], Operations: ['83-59=24', '24/3=8'] Exploring Operation: 86-8=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 24, 76, 87, 15 ]
20
[ "76-24=52", "87-15=72", "72-52=20" ]
Current State: 20:[24, 76, 87, 15], Operations: [] Exploring Operation: 76-24=52, Resulting Numbers: [87, 15, 52] Generated Node #2: [87, 15, 52] from Operation: 76-24=52 Current State: 20:[87, 15, 52], Operations: ['76-24=52'] Exploring Operation: 87-15=72, Resulting Numbers: [52, 72] Generated Node #3: [52, 72] from Operation: 87-15=72 Current State: 20:[52, 72], Operations: ['76-24=52', '87-15=72'] Exploring Operation: 72-52=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 84, 61, 87, 43 ]
21
[ "84-61=23", "87-43=44", "44-23=21" ]
Current State: 21:[84, 61, 87, 43], Operations: [] Exploring Operation: 84-61=23, Resulting Numbers: [87, 43, 23] Generated Node #2: [87, 43, 23] from Operation: 84-61=23 Current State: 21:[87, 43, 23], Operations: ['84-61=23'] Exploring Operation: 87-43=44, Resulting Numbers: [23, 44] Generated Node #3: [23, 44] from Operation: 87-43=44 Current State: 21:[23, 44], Operations: ['84-61=23', '87-43=44'] Exploring Operation: 44-23=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 78, 25, 53, 76 ]
77
[ "78-25=53", "53/53=1", "76+1=77" ]
Current State: 77:[78, 25, 53, 76], Operations: [] Exploring Operation: 78-25=53, Resulting Numbers: [53, 76, 53] Generated Node #2: [53, 76, 53] from Operation: 78-25=53 Current State: 77:[53, 76, 53], Operations: ['78-25=53'] Exploring Operation: 53/53=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 53/53=1 Current State: 77:[76, 1], Operations: ['78-25=53', '53/53=1'] Exploring Operation: 76+1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 83, 89, 68, 56 ]
48
[ "83+89=172", "68+56=124", "172-124=48" ]
Current State: 48:[83, 89, 68, 56], Operations: [] Exploring Operation: 83+89=172, Resulting Numbers: [68, 56, 172] Generated Node #2: [68, 56, 172] from Operation: 83+89=172 Current State: 48:[68, 56, 172], Operations: ['83+89=172'] Exploring Operation: 68+56=124, Resulting Numbers: [172, 124] Generated Node #3: [172, 124] from Operation: 68+56=124 Current State: 48:[172, 124], Operations: ['83+89=172', '68+56=124'] Exploring Operation: 172-124=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 24, 53, 56, 13 ]
72
[ "53-24=29", "56-13=43", "29+43=72" ]
Current State: 72:[24, 53, 56, 13], Operations: [] Exploring Operation: 53-24=29, Resulting Numbers: [56, 13, 29] Generated Node #2: [56, 13, 29] from Operation: 53-24=29 Current State: 72:[56, 13, 29], Operations: ['53-24=29'] Exploring Operation: 56-13=43, Resulting Numbers: [29, 43] Generated Node #3: [29, 43] from Operation: 56-13=43 Current State: 72:[29, 43], Operations: ['53-24=29', '56-13=43'] Exploring Operation: 29+43=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 26, 8, 19, 16 ]
16
[ "26-8=18", "19-18=1", "16*1=16" ]
Current State: 16:[26, 8, 19, 16], Operations: [] Exploring Operation: 26-8=18, Resulting Numbers: [19, 16, 18] Generated Node #2: [19, 16, 18] from Operation: 26-8=18 Current State: 16:[19, 16, 18], Operations: ['26-8=18'] Exploring Operation: 19-18=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 19-18=1 Current State: 16:[16, 1], Operations: ['26-8=18', '19-18=1'] Exploring Operation: 16*1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 73, 35, 48, 23 ]
83
[ "73+35=108", "48-23=25", "108-25=83" ]
Current State: 83:[73, 35, 48, 23], Operations: [] Exploring Operation: 73+35=108, Resulting Numbers: [48, 23, 108] Generated Node #2: [48, 23, 108] from Operation: 73+35=108 Current State: 83:[48, 23, 108], Operations: ['73+35=108'] Exploring Operation: 48-23=25, Resulting Numbers: [108, 25] Generated Node #3: [108, 25] from Operation: 48-23=25 Current State: 83:[108, 25], Operations: ['73+35=108', '48-23=25'] Exploring Operation: 108-25=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 6, 15, 9, 86 ]
76
[ "6*15=90", "90/9=10", "86-10=76" ]
Current State: 76:[6, 15, 9, 86], Operations: [] Exploring Operation: 6*15=90, Resulting Numbers: [9, 86, 90] Generated Node #2: [9, 86, 90] from Operation: 6*15=90 Current State: 76:[9, 86, 90], Operations: ['6*15=90'] Exploring Operation: 90/9=10, Resulting Numbers: [86, 10] Generated Node #3: [86, 10] from Operation: 90/9=10 Current State: 76:[86, 10], Operations: ['6*15=90', '90/9=10'] Exploring Operation: 86-10=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 6, 32, 92, 93 ]
38
[ "6+32=38", "93-92=1", "38*1=38" ]
Current State: 38:[6, 32, 92, 93], Operations: [] Exploring Operation: 6+32=38, Resulting Numbers: [92, 93, 38] Generated Node #2: [92, 93, 38] from Operation: 6+32=38 Current State: 38:[92, 93, 38], Operations: ['6+32=38'] Exploring Operation: 93-92=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 93-92=1 Current State: 38:[38, 1], Operations: ['6+32=38', '93-92=1'] Exploring Operation: 38*1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 67, 12, 48, 69 ]
58
[ "67+12=79", "69-48=21", "79-21=58" ]
Current State: 58:[67, 12, 48, 69], Operations: [] Exploring Operation: 67+12=79, Resulting Numbers: [48, 69, 79] Generated Node #2: [48, 69, 79] from Operation: 67+12=79 Current State: 58:[48, 69, 79], Operations: ['67+12=79'] Exploring Operation: 69-48=21, Resulting Numbers: [79, 21] Generated Node #3: [79, 21] from Operation: 69-48=21 Current State: 58:[79, 21], Operations: ['67+12=79', '69-48=21'] Exploring Operation: 79-21=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 2, 94, 28, 56 ]
52
[ "28/2=14", "94-56=38", "14+38=52" ]
Current State: 52:[2, 94, 28, 56], Operations: [] Exploring Operation: 28/2=14, Resulting Numbers: [94, 56, 14] Generated Node #2: [94, 56, 14] from Operation: 28/2=14 Current State: 52:[94, 56, 14], Operations: ['28/2=14'] Exploring Operation: 94-56=38, Resulting Numbers: [14, 38] Generated Node #3: [14, 38] from Operation: 94-56=38 Current State: 52:[14, 38], Operations: ['28/2=14', '94-56=38'] Exploring Operation: 14+38=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 51, 81, 8, 60 ]
80
[ "51+81=132", "60-8=52", "132-52=80" ]
Current State: 80:[51, 81, 8, 60], Operations: [] Exploring Operation: 51+81=132, Resulting Numbers: [8, 60, 132] Generated Node #2: [8, 60, 132] from Operation: 51+81=132 Current State: 80:[8, 60, 132], Operations: ['51+81=132'] Exploring Operation: 60-8=52, Resulting Numbers: [132, 52] Generated Node #3: [132, 52] from Operation: 60-8=52 Current State: 80:[132, 52], Operations: ['51+81=132', '60-8=52'] Exploring Operation: 132-52=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 48, 20, 63, 40 ]
16
[ "63-20=43", "43-40=3", "48/3=16" ]
Current State: 16:[48, 20, 63, 40], Operations: [] Exploring Operation: 63-20=43, Resulting Numbers: [48, 40, 43] Generated Node #2: [48, 40, 43] from Operation: 63-20=43 Current State: 16:[48, 40, 43], Operations: ['63-20=43'] Exploring Operation: 43-40=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 43-40=3 Current State: 16:[48, 3], Operations: ['63-20=43', '43-40=3'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 55, 30, 44, 88 ]
27
[ "55-30=25", "88/44=2", "25+2=27" ]
Current State: 27:[55, 30, 44, 88], Operations: [] Exploring Operation: 55-30=25, Resulting Numbers: [44, 88, 25] Generated Node #2: [44, 88, 25] from Operation: 55-30=25 Current State: 27:[44, 88, 25], Operations: ['55-30=25'] Exploring Operation: 88/44=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 88/44=2 Current State: 27:[25, 2], Operations: ['55-30=25', '88/44=2'] Exploring Operation: 25+2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 59, 72, 99, 59 ]
72
[ "59-59=0", "99*0=0", "72+0=72" ]
Current State: 72:[59, 72, 99, 59], Operations: [] Exploring Operation: 59-59=0, Resulting Numbers: [72, 99, 0] Generated Node #2: [72, 99, 0] from Operation: 59-59=0 Current State: 72:[72, 99, 0], Operations: ['59-59=0'] Exploring Operation: 99*0=0, Resulting Numbers: [72, 0] Generated Node #3: [72, 0] from Operation: 99*0=0 Current State: 72:[72, 0], Operations: ['59-59=0', '99*0=0'] Exploring Operation: 72+0=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 85, 72, 42, 51 ]
83
[ "72-51=21", "42/21=2", "85-2=83" ]
Current State: 83:[85, 72, 42, 51], Operations: [] Exploring Operation: 72-51=21, Resulting Numbers: [85, 42, 21] Generated Node #2: [85, 42, 21] from Operation: 72-51=21 Current State: 83:[85, 42, 21], Operations: ['72-51=21'] Exploring Operation: 42/21=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 42/21=2 Current State: 83:[85, 2], Operations: ['72-51=21', '42/21=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 55, 49, 22, 95 ]
11
[ "22*95=2090", "2090/55=38", "49-38=11" ]
Current State: 11:[55, 49, 22, 95], Operations: [] Exploring Operation: 22*95=2090, Resulting Numbers: [55, 49, 2090] Generated Node #2: [55, 49, 2090] from Operation: 22*95=2090 Current State: 11:[55, 49, 2090], Operations: ['22*95=2090'] Exploring Operation: 2090/55=38, Resulting Numbers: [49, 38] Generated Node #3: [49, 38] from Operation: 2090/55=38 Current State: 11:[49, 38], Operations: ['22*95=2090', '2090/55=38'] Exploring Operation: 49-38=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 14, 79, 30, 68 ]
72
[ "30+68=98", "98/14=7", "79-7=72" ]
Current State: 72:[14, 79, 30, 68], Operations: [] Exploring Operation: 30+68=98, Resulting Numbers: [14, 79, 98] Generated Node #2: [14, 79, 98] from Operation: 30+68=98 Current State: 72:[14, 79, 98], Operations: ['30+68=98'] Exploring Operation: 98/14=7, Resulting Numbers: [79, 7] Generated Node #3: [79, 7] from Operation: 98/14=7 Current State: 72:[79, 7], Operations: ['30+68=98', '98/14=7'] Exploring Operation: 79-7=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 34, 91, 55, 37 ]
75
[ "91-34=57", "55-37=18", "57+18=75" ]
Current State: 75:[34, 91, 55, 37], Operations: [] Exploring Operation: 91-34=57, Resulting Numbers: [55, 37, 57] Generated Node #2: [55, 37, 57] from Operation: 91-34=57 Current State: 75:[55, 37, 57], Operations: ['91-34=57'] Exploring Operation: 55-37=18, Resulting Numbers: [57, 18] Generated Node #3: [57, 18] from Operation: 55-37=18 Current State: 75:[57, 18], Operations: ['91-34=57', '55-37=18'] Exploring Operation: 57+18=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 53, 25, 32, 56 ]
16
[ "53-25=28", "32*28=896", "896/56=16" ]
Current State: 16:[53, 25, 32, 56], Operations: [] Exploring Operation: 53-25=28, Resulting Numbers: [32, 56, 28] Generated Node #2: [32, 56, 28] from Operation: 53-25=28 Current State: 16:[32, 56, 28], Operations: ['53-25=28'] Exploring Operation: 32*28=896, Resulting Numbers: [56, 896] Generated Node #3: [56, 896] from Operation: 32*28=896 Current State: 16:[56, 896], Operations: ['53-25=28', '32*28=896'] Exploring Operation: 896/56=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 20, 15, 43, 54 ]
29
[ "20*54=1080", "1080/15=72", "72-43=29" ]
Current State: 29:[20, 15, 43, 54], Operations: [] Exploring Operation: 20*54=1080, Resulting Numbers: [15, 43, 1080] Generated Node #2: [15, 43, 1080] from Operation: 20*54=1080 Current State: 29:[15, 43, 1080], Operations: ['20*54=1080'] Exploring Operation: 1080/15=72, Resulting Numbers: [43, 72] Generated Node #3: [43, 72] from Operation: 1080/15=72 Current State: 29:[43, 72], Operations: ['20*54=1080', '1080/15=72'] Exploring Operation: 72-43=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 46, 66, 89, 53 ]
51
[ "89-66=23", "46/23=2", "53-2=51" ]
Current State: 51:[46, 66, 89, 53], Operations: [] Exploring Operation: 89-66=23, Resulting Numbers: [46, 53, 23] Generated Node #2: [46, 53, 23] from Operation: 89-66=23 Current State: 51:[46, 53, 23], Operations: ['89-66=23'] Exploring Operation: 46/23=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 46/23=2 Current State: 51:[53, 2], Operations: ['89-66=23', '46/23=2'] Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 46, 22, 55, 49 ]
86
[ "55-49=6", "22*6=132", "132-46=86" ]
Current State: 86:[46, 22, 55, 49], Operations: [] Exploring Operation: 55-49=6, Resulting Numbers: [46, 22, 6] Generated Node #2: [46, 22, 6] from Operation: 55-49=6 Current State: 86:[46, 22, 6], Operations: ['55-49=6'] Exploring Operation: 22*6=132, Resulting Numbers: [46, 132] Generated Node #3: [46, 132] from Operation: 22*6=132 Current State: 86:[46, 132], Operations: ['55-49=6', '22*6=132'] Exploring Operation: 132-46=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 51, 27, 47, 36 ]
67
[ "51+27=78", "47-36=11", "78-11=67" ]
Current State: 67:[51, 27, 47, 36], Operations: [] Exploring Operation: 51+27=78, Resulting Numbers: [47, 36, 78] Generated Node #2: [47, 36, 78] from Operation: 51+27=78 Current State: 67:[47, 36, 78], Operations: ['51+27=78'] Exploring Operation: 47-36=11, Resulting Numbers: [78, 11] Generated Node #3: [78, 11] from Operation: 47-36=11 Current State: 67:[78, 11], Operations: ['51+27=78', '47-36=11'] Exploring Operation: 78-11=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 24, 6, 69, 24 ]
74
[ "24/24=1", "6+69=75", "75-1=74" ]
Current State: 74:[24, 6, 69, 24], Operations: [] Exploring Operation: 24/24=1, Resulting Numbers: [6, 69, 1] Generated Node #2: [6, 69, 1] from Operation: 24/24=1 Current State: 74:[6, 69, 1], Operations: ['24/24=1'] Exploring Operation: 6+69=75, Resulting Numbers: [1, 75] Generated Node #3: [1, 75] from Operation: 6+69=75 Current State: 74:[1, 75], Operations: ['24/24=1', '6+69=75'] Exploring Operation: 75-1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 20, 9, 84, 3 ]
91
[ "84-20=64", "9*3=27", "64+27=91" ]
Current State: 91:[20, 9, 84, 3], Operations: [] Exploring Operation: 84-20=64, Resulting Numbers: [9, 3, 64] Generated Node #2: [9, 3, 64] from Operation: 84-20=64 Current State: 91:[9, 3, 64], Operations: ['84-20=64'] Exploring Operation: 9*3=27, Resulting Numbers: [64, 27] Generated Node #3: [64, 27] from Operation: 9*3=27 Current State: 91:[64, 27], Operations: ['84-20=64', '9*3=27'] Exploring Operation: 64+27=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 80, 10, 99, 40 ]
15
[ "99-80=19", "40/10=4", "19-4=15" ]
Current State: 15:[80, 10, 99, 40], Operations: [] Exploring Operation: 99-80=19, Resulting Numbers: [10, 40, 19] Generated Node #2: [10, 40, 19] from Operation: 99-80=19 Current State: 15:[10, 40, 19], Operations: ['99-80=19'] Exploring Operation: 40/10=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 40/10=4 Current State: 15:[19, 4], Operations: ['99-80=19', '40/10=4'] Exploring Operation: 19-4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 78, 95, 9, 5 ]
40
[ "95-78=17", "17-9=8", "5*8=40" ]
Current State: 40:[78, 95, 9, 5], Operations: [] Exploring Operation: 95-78=17, Resulting Numbers: [9, 5, 17] Generated Node #2: [9, 5, 17] from Operation: 95-78=17 Current State: 40:[9, 5, 17], Operations: ['95-78=17'] Exploring Operation: 17-9=8, Resulting Numbers: [5, 8] Generated Node #3: [5, 8] from Operation: 17-9=8 Current State: 40:[5, 8], Operations: ['95-78=17', '17-9=8'] Exploring Operation: 5*8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 70, 40, 23, 37 ]
31
[ "70+23=93", "40-37=3", "93/3=31" ]
Current State: 31:[70, 40, 23, 37], Operations: [] Exploring Operation: 70+23=93, Resulting Numbers: [40, 37, 93] Generated Node #2: [40, 37, 93] from Operation: 70+23=93 Current State: 31:[40, 37, 93], Operations: ['70+23=93'] Exploring Operation: 40-37=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 40-37=3 Current State: 31:[93, 3], Operations: ['70+23=93', '40-37=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 5, 76, 98, 7 ]
75
[ "98-76=22", "22-7=15", "5*15=75" ]
Current State: 75:[5, 76, 98, 7], Operations: [] Exploring Operation: 98-76=22, Resulting Numbers: [5, 7, 22] Generated Node #2: [5, 7, 22] from Operation: 98-76=22 Current State: 75:[5, 7, 22], Operations: ['98-76=22'] Exploring Operation: 22-7=15, Resulting Numbers: [5, 15] Generated Node #3: [5, 15] from Operation: 22-7=15 Current State: 75:[5, 15], Operations: ['98-76=22', '22-7=15'] Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 92, 98, 60, 94 ]
28
[ "98-92=6", "94-60=34", "34-6=28" ]
Current State: 28:[92, 98, 60, 94], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [60, 94, 6] Generated Node #2: [60, 94, 6] from Operation: 98-92=6 Current State: 28:[60, 94, 6], Operations: ['98-92=6'] Exploring Operation: 94-60=34, Resulting Numbers: [6, 34] Generated Node #3: [6, 34] from Operation: 94-60=34 Current State: 28:[6, 34], Operations: ['98-92=6', '94-60=34'] Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 19, 89, 63, 93 ]
40
[ "89-19=70", "93-63=30", "70-30=40" ]
Current State: 40:[19, 89, 63, 93], Operations: [] Exploring Operation: 89-19=70, Resulting Numbers: [63, 93, 70] Generated Node #2: [63, 93, 70] from Operation: 89-19=70 Current State: 40:[63, 93, 70], Operations: ['89-19=70'] Exploring Operation: 93-63=30, Resulting Numbers: [70, 30] Generated Node #3: [70, 30] from Operation: 93-63=30 Current State: 40:[70, 30], Operations: ['89-19=70', '93-63=30'] Exploring Operation: 70-30=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 51, 82, 74, 4 ]
48
[ "51*4=204", "82+74=156", "204-156=48" ]
Current State: 48:[51, 82, 74, 4], Operations: [] Exploring Operation: 51*4=204, Resulting Numbers: [82, 74, 204] Generated Node #2: [82, 74, 204] from Operation: 51*4=204 Current State: 48:[82, 74, 204], Operations: ['51*4=204'] Exploring Operation: 82+74=156, Resulting Numbers: [204, 156] Generated Node #3: [204, 156] from Operation: 82+74=156 Current State: 48:[204, 156], Operations: ['51*4=204', '82+74=156'] Exploring Operation: 204-156=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 5, 64, 6, 32 ]
32
[ "5*6=30", "64/32=2", "30+2=32" ]
Current State: 32:[5, 64, 6, 32], Operations: [] Exploring Operation: 5*6=30, Resulting Numbers: [64, 32, 30] Generated Node #2: [64, 32, 30] from Operation: 5*6=30 Current State: 32:[64, 32, 30], Operations: ['5*6=30'] Exploring Operation: 64/32=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 64/32=2 Current State: 32:[30, 2], Operations: ['5*6=30', '64/32=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 27, 90, 40, 42 ]
46
[ "42-27=15", "90/15=6", "40+6=46" ]
Current State: 46:[27, 90, 40, 42], Operations: [] Exploring Operation: 42-27=15, Resulting Numbers: [90, 40, 15] Generated Node #2: [90, 40, 15] from Operation: 42-27=15 Current State: 46:[90, 40, 15], Operations: ['42-27=15'] Exploring Operation: 90/15=6, Resulting Numbers: [40, 6] Generated Node #3: [40, 6] from Operation: 90/15=6 Current State: 46:[40, 6], Operations: ['42-27=15', '90/15=6'] Exploring Operation: 40+6=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 28, 74, 98, 49 ]
18
[ "28*98=2744", "2744/49=56", "74-56=18" ]
Current State: 18:[28, 74, 98, 49], Operations: [] Exploring Operation: 28*98=2744, Resulting Numbers: [74, 49, 2744] Generated Node #2: [74, 49, 2744] from Operation: 28*98=2744 Current State: 18:[74, 49, 2744], Operations: ['28*98=2744'] Exploring Operation: 2744/49=56, Resulting Numbers: [74, 56] Generated Node #3: [74, 56] from Operation: 2744/49=56 Current State: 18:[74, 56], Operations: ['28*98=2744', '2744/49=56'] Exploring Operation: 74-56=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 40, 30, 31, 74 ]
34
[ "74-40=34", "31-30=1", "34*1=34" ]
Current State: 34:[40, 30, 31, 74], Operations: [] Exploring Operation: 74-40=34, Resulting Numbers: [30, 31, 34] Generated Node #2: [30, 31, 34] from Operation: 74-40=34 Current State: 34:[30, 31, 34], Operations: ['74-40=34'] Exploring Operation: 31-30=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 31-30=1 Current State: 34:[34, 1], Operations: ['74-40=34', '31-30=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 12, 42, 45, 39 ]
60
[ "12+42=54", "45-39=6", "54+6=60" ]
Current State: 60:[12, 42, 45, 39], Operations: [] Exploring Operation: 12+42=54, Resulting Numbers: [45, 39, 54] Generated Node #2: [45, 39, 54] from Operation: 12+42=54 Current State: 60:[45, 39, 54], Operations: ['12+42=54'] Exploring Operation: 45-39=6, Resulting Numbers: [54, 6] Generated Node #3: [54, 6] from Operation: 45-39=6 Current State: 60:[54, 6], Operations: ['12+42=54', '45-39=6'] Exploring Operation: 54+6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 99, 72, 10, 56 ]
67
[ "99*56=5544", "5544/72=77", "77-10=67" ]
Current State: 67:[99, 72, 10, 56], Operations: [] Exploring Operation: 99*56=5544, Resulting Numbers: [72, 10, 5544] Generated Node #2: [72, 10, 5544] from Operation: 99*56=5544 Current State: 67:[72, 10, 5544], Operations: ['99*56=5544'] Exploring Operation: 5544/72=77, Resulting Numbers: [10, 77] Generated Node #3: [10, 77] from Operation: 5544/72=77 Current State: 67:[10, 77], Operations: ['99*56=5544', '5544/72=77'] Exploring Operation: 77-10=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 8, 33, 25, 75 ]
19
[ "33*25=825", "825/75=11", "8+11=19" ]
Current State: 19:[8, 33, 25, 75], Operations: [] Exploring Operation: 33*25=825, Resulting Numbers: [8, 75, 825] Generated Node #2: [8, 75, 825] from Operation: 33*25=825 Current State: 19:[8, 75, 825], Operations: ['33*25=825'] Exploring Operation: 825/75=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 825/75=11 Current State: 19:[8, 11], Operations: ['33*25=825', '825/75=11'] Exploring Operation: 8+11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 68, 17, 92, 96 ]
89
[ "68+17=85", "96-92=4", "85+4=89" ]
Current State: 89:[68, 17, 92, 96], Operations: [] Exploring Operation: 68+17=85, Resulting Numbers: [92, 96, 85] Generated Node #2: [92, 96, 85] from Operation: 68+17=85 Current State: 89:[92, 96, 85], Operations: ['68+17=85'] Exploring Operation: 96-92=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 96-92=4 Current State: 89:[85, 4], Operations: ['68+17=85', '96-92=4'] Exploring Operation: 85+4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 25, 81, 16, 68 ]
59
[ "25-16=9", "81/9=9", "68-9=59" ]
Current State: 59:[25, 81, 16, 68], Operations: [] Exploring Operation: 25-16=9, Resulting Numbers: [81, 68, 9] Generated Node #2: [81, 68, 9] from Operation: 25-16=9 Current State: 59:[81, 68, 9], Operations: ['25-16=9'] Exploring Operation: 81/9=9, Resulting Numbers: [68, 9] Generated Node #3: [68, 9] from Operation: 81/9=9 Current State: 59:[68, 9], Operations: ['25-16=9', '81/9=9'] Exploring Operation: 68-9=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 58, 35, 4, 99 ]
98
[ "58*4=232", "35+99=134", "232-134=98" ]
Current State: 98:[58, 35, 4, 99], Operations: [] Exploring Operation: 58*4=232, Resulting Numbers: [35, 99, 232] Generated Node #2: [35, 99, 232] from Operation: 58*4=232 Current State: 98:[35, 99, 232], Operations: ['58*4=232'] Exploring Operation: 35+99=134, Resulting Numbers: [232, 134] Generated Node #3: [232, 134] from Operation: 35+99=134 Current State: 98:[232, 134], Operations: ['58*4=232', '35+99=134'] Exploring Operation: 232-134=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 48, 8, 7, 96 ]
63
[ "48-8=40", "7+96=103", "103-40=63" ]
Current State: 63:[48, 8, 7, 96], Operations: [] Exploring Operation: 48-8=40, Resulting Numbers: [7, 96, 40] Generated Node #2: [7, 96, 40] from Operation: 48-8=40 Current State: 63:[7, 96, 40], Operations: ['48-8=40'] Exploring Operation: 7+96=103, Resulting Numbers: [40, 103] Generated Node #3: [40, 103] from Operation: 7+96=103 Current State: 63:[40, 103], Operations: ['48-8=40', '7+96=103'] Exploring Operation: 103-40=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 7, 83, 90, 30 ]
87
[ "7+83=90", "90/30=3", "90-3=87" ]
Current State: 87:[7, 83, 90, 30], Operations: [] Exploring Operation: 7+83=90, Resulting Numbers: [90, 30, 90] Generated Node #2: [90, 30, 90] from Operation: 7+83=90 Current State: 87:[90, 30, 90], Operations: ['7+83=90'] Exploring Operation: 90/30=3, Resulting Numbers: [3] 3,87 equal: Goal Reached Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 58, 55, 57, 47 ]
22
[ "58-47=11", "57-55=2", "11*2=22" ]
Current State: 22:[58, 55, 57, 47], Operations: [] Exploring Operation: 58-47=11, Resulting Numbers: [55, 57, 11] Generated Node #2: [55, 57, 11] from Operation: 58-47=11 Current State: 22:[55, 57, 11], Operations: ['58-47=11'] Exploring Operation: 57-55=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 57-55=2 Current State: 22:[11, 2], Operations: ['58-47=11', '57-55=2'] Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 95, 10, 9, 39 ]
92
[ "39-9=30", "30/10=3", "95-3=92" ]
Current State: 92:[95, 10, 9, 39], Operations: [] Exploring Operation: 39-9=30, Resulting Numbers: [95, 10, 30] Generated Node #2: [95, 10, 30] from Operation: 39-9=30 Current State: 92:[95, 10, 30], Operations: ['39-9=30'] Exploring Operation: 30/10=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 30/10=3 Current State: 92:[95, 3], Operations: ['39-9=30', '30/10=3'] Exploring Operation: 95-3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 53, 80, 40, 17 ]
89
[ "53*80=4240", "4240/40=106", "106-17=89" ]
Current State: 89:[53, 80, 40, 17], Operations: [] Exploring Operation: 53*80=4240, Resulting Numbers: [40, 17, 4240] Generated Node #2: [40, 17, 4240] from Operation: 53*80=4240 Current State: 89:[40, 17, 4240], Operations: ['53*80=4240'] Exploring Operation: 4240/40=106, Resulting Numbers: [17, 106] Generated Node #3: [17, 106] from Operation: 4240/40=106 Current State: 89:[17, 106], Operations: ['53*80=4240', '4240/40=106'] Exploring Operation: 106-17=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 87, 35, 3, 49 ]
98
[ "87-35=52", "49-3=46", "52+46=98" ]
Current State: 98:[87, 35, 3, 49], Operations: [] Exploring Operation: 87-35=52, Resulting Numbers: [3, 49, 52] Generated Node #2: [3, 49, 52] from Operation: 87-35=52 Current State: 98:[3, 49, 52], Operations: ['87-35=52'] Exploring Operation: 49-3=46, Resulting Numbers: [52, 46] Generated Node #3: [52, 46] from Operation: 49-3=46 Current State: 98:[52, 46], Operations: ['87-35=52', '49-3=46'] Exploring Operation: 52+46=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 16, 19, 38, 47 ]
65
[ "16+47=63", "38/19=2", "63+2=65" ]
Current State: 65:[16, 19, 38, 47], Operations: [] Exploring Operation: 16+47=63, Resulting Numbers: [19, 38, 63] Generated Node #2: [19, 38, 63] from Operation: 16+47=63 Current State: 65:[19, 38, 63], Operations: ['16+47=63'] Exploring Operation: 38/19=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 38/19=2 Current State: 65:[63, 2], Operations: ['16+47=63', '38/19=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 1, 76, 77, 29 ]
28
[ "1+76=77", "77/77=1", "29-1=28" ]
Current State: 28:[1, 76, 77, 29], Operations: [] Exploring Operation: 1+76=77, Resulting Numbers: [77, 29, 77] Generated Node #2: [77, 29, 77] from Operation: 1+76=77 Current State: 28:[77, 29, 77], Operations: ['1+76=77'] Exploring Operation: 77/77=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 77/77=1 Current State: 28:[29, 1], Operations: ['1+76=77', '77/77=1'] Exploring Operation: 29-1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 69, 37, 94, 31 ]
31
[ "69-37=32", "94-31=63", "63-32=31" ]
Current State: 31:[69, 37, 94, 31], Operations: [] Exploring Operation: 69-37=32, Resulting Numbers: [94, 31, 32] Generated Node #2: [94, 31, 32] from Operation: 69-37=32 Current State: 31:[94, 31, 32], Operations: ['69-37=32'] Exploring Operation: 94-31=63, Resulting Numbers: [32, 63] Generated Node #3: [32, 63] from Operation: 94-31=63 Current State: 31:[32, 63], Operations: ['69-37=32', '94-31=63'] Exploring Operation: 63-32=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 12, 56, 64, 48 ]
48
[ "64-56=8", "12*8=96", "96-48=48" ]
Current State: 48:[12, 56, 64, 48], Operations: [] Exploring Operation: 64-56=8, Resulting Numbers: [12, 48, 8] Generated Node #2: [12, 48, 8] from Operation: 64-56=8 Current State: 48:[12, 48, 8], Operations: ['64-56=8'] Exploring Operation: 12*8=96, Resulting Numbers: [48, 96] Generated Node #3: [48, 96] from Operation: 12*8=96 Current State: 48:[48, 96], Operations: ['64-56=8', '12*8=96'] Exploring Operation: 96-48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 22, 75, 34, 19 ]
59
[ "22-19=3", "75/3=25", "34+25=59" ]
Current State: 59:[22, 75, 34, 19], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [75, 34, 3] Generated Node #2: [75, 34, 3] from Operation: 22-19=3 Current State: 59:[75, 34, 3], Operations: ['22-19=3'] Exploring Operation: 75/3=25, Resulting Numbers: [34, 25] Generated Node #3: [34, 25] from Operation: 75/3=25 Current State: 59:[34, 25], Operations: ['22-19=3', '75/3=25'] Exploring Operation: 34+25=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 67, 30, 17, 2 ]
71
[ "67-30=37", "17*2=34", "37+34=71" ]
Current State: 71:[67, 30, 17, 2], Operations: [] Exploring Operation: 67-30=37, Resulting Numbers: [17, 2, 37] Generated Node #2: [17, 2, 37] from Operation: 67-30=37 Current State: 71:[17, 2, 37], Operations: ['67-30=37'] Exploring Operation: 17*2=34, Resulting Numbers: [37, 34] Generated Node #3: [37, 34] from Operation: 17*2=34 Current State: 71:[37, 34], Operations: ['67-30=37', '17*2=34'] Exploring Operation: 37+34=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 6, 83, 30, 12 ]
100
[ "30/6=5", "83+12=95", "5+95=100" ]
Current State: 100:[6, 83, 30, 12], Operations: [] Exploring Operation: 30/6=5, Resulting Numbers: [83, 12, 5] Generated Node #2: [83, 12, 5] from Operation: 30/6=5 Current State: 100:[83, 12, 5], Operations: ['30/6=5'] Exploring Operation: 83+12=95, Resulting Numbers: [5, 95] Generated Node #3: [5, 95] from Operation: 83+12=95 Current State: 100:[5, 95], Operations: ['30/6=5', '83+12=95'] Exploring Operation: 5+95=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 70, 48, 87, 67 ]
71
[ "70-67=3", "48/3=16", "87-16=71" ]
Current State: 71:[70, 48, 87, 67], Operations: [] Exploring Operation: 70-67=3, Resulting Numbers: [48, 87, 3] Generated Node #2: [48, 87, 3] from Operation: 70-67=3 Current State: 71:[48, 87, 3], Operations: ['70-67=3'] Exploring Operation: 48/3=16, Resulting Numbers: [87, 16] Generated Node #3: [87, 16] from Operation: 48/3=16 Current State: 71:[87, 16], Operations: ['70-67=3', '48/3=16'] Exploring Operation: 87-16=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 47, 7, 6, 26 ]
31
[ "47+26=73", "7*6=42", "73-42=31" ]
Current State: 31:[47, 7, 6, 26], Operations: [] Exploring Operation: 47+26=73, Resulting Numbers: [7, 6, 73] Generated Node #2: [7, 6, 73] from Operation: 47+26=73 Current State: 31:[7, 6, 73], Operations: ['47+26=73'] Exploring Operation: 7*6=42, Resulting Numbers: [73, 42] Generated Node #3: [73, 42] from Operation: 7*6=42 Current State: 31:[73, 42], Operations: ['47+26=73', '7*6=42'] Exploring Operation: 73-42=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 30, 41, 73, 36 ]
77
[ "41-36=5", "30*5=150", "150-73=77" ]
Current State: 77:[30, 41, 73, 36], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [30, 73, 5] Generated Node #2: [30, 73, 5] from Operation: 41-36=5 Current State: 77:[30, 73, 5], Operations: ['41-36=5'] Exploring Operation: 30*5=150, Resulting Numbers: [73, 150] Generated Node #3: [73, 150] from Operation: 30*5=150 Current State: 77:[73, 150], Operations: ['41-36=5', '30*5=150'] Exploring Operation: 150-73=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 2, 68, 42, 7 ]
96
[ "42/2=21", "68+7=75", "21+75=96" ]
Current State: 96:[2, 68, 42, 7], Operations: [] Exploring Operation: 42/2=21, Resulting Numbers: [68, 7, 21] Generated Node #2: [68, 7, 21] from Operation: 42/2=21 Current State: 96:[68, 7, 21], Operations: ['42/2=21'] Exploring Operation: 68+7=75, Resulting Numbers: [21, 75] Generated Node #3: [21, 75] from Operation: 68+7=75 Current State: 96:[21, 75], Operations: ['42/2=21', '68+7=75'] Exploring Operation: 21+75=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 64, 78, 69, 5 ]
88
[ "78-64=14", "69+5=74", "14+74=88" ]
Current State: 88:[64, 78, 69, 5], Operations: [] Exploring Operation: 78-64=14, Resulting Numbers: [69, 5, 14] Generated Node #2: [69, 5, 14] from Operation: 78-64=14 Current State: 88:[69, 5, 14], Operations: ['78-64=14'] Exploring Operation: 69+5=74, Resulting Numbers: [14, 74] Generated Node #3: [14, 74] from Operation: 69+5=74 Current State: 88:[14, 74], Operations: ['78-64=14', '69+5=74'] Exploring Operation: 14+74=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 36, 82, 28, 61 ]
85
[ "36+82=118", "61-28=33", "118-33=85" ]
Current State: 85:[36, 82, 28, 61], Operations: [] Exploring Operation: 36+82=118, Resulting Numbers: [28, 61, 118] Generated Node #2: [28, 61, 118] from Operation: 36+82=118 Current State: 85:[28, 61, 118], Operations: ['36+82=118'] Exploring Operation: 61-28=33, Resulting Numbers: [118, 33] Generated Node #3: [118, 33] from Operation: 61-28=33 Current State: 85:[118, 33], Operations: ['36+82=118', '61-28=33'] Exploring Operation: 118-33=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 60, 36, 80, 45 ]
61
[ "60+36=96", "80-45=35", "96-35=61" ]
Current State: 61:[60, 36, 80, 45], Operations: [] Exploring Operation: 60+36=96, Resulting Numbers: [80, 45, 96] Generated Node #2: [80, 45, 96] from Operation: 60+36=96 Current State: 61:[80, 45, 96], Operations: ['60+36=96'] Exploring Operation: 80-45=35, Resulting Numbers: [96, 35] Generated Node #3: [96, 35] from Operation: 80-45=35 Current State: 61:[96, 35], Operations: ['60+36=96', '80-45=35'] Exploring Operation: 96-35=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 53, 99, 1, 1 ]
23
[ "99-53=46", "1+1=2", "46/2=23" ]
Current State: 23:[53, 99, 1, 1], Operations: [] Exploring Operation: 99-53=46, Resulting Numbers: [1, 1, 46] Generated Node #2: [1, 1, 46] from Operation: 99-53=46 Current State: 23:[1, 1, 46], Operations: ['99-53=46'] Exploring Operation: 1+1=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 1+1=2 Current State: 23:[46, 2], Operations: ['99-53=46', '1+1=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 83, 49, 84, 75 ]
43
[ "83-49=34", "84-75=9", "34+9=43" ]
Current State: 43:[83, 49, 84, 75], Operations: [] Exploring Operation: 83-49=34, Resulting Numbers: [84, 75, 34] Generated Node #2: [84, 75, 34] from Operation: 83-49=34 Current State: 43:[84, 75, 34], Operations: ['83-49=34'] Exploring Operation: 84-75=9, Resulting Numbers: [34, 9] Generated Node #3: [34, 9] from Operation: 84-75=9 Current State: 43:[34, 9], Operations: ['83-49=34', '84-75=9'] Exploring Operation: 34+9=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 56, 70, 30, 20 ]
76
[ "56+70=126", "30+20=50", "126-50=76" ]
Current State: 76:[56, 70, 30, 20], Operations: [] Exploring Operation: 56+70=126, Resulting Numbers: [30, 20, 126] Generated Node #2: [30, 20, 126] from Operation: 56+70=126 Current State: 76:[30, 20, 126], Operations: ['56+70=126'] Exploring Operation: 30+20=50, Resulting Numbers: [126, 50] Generated Node #3: [126, 50] from Operation: 30+20=50 Current State: 76:[126, 50], Operations: ['56+70=126', '30+20=50'] Exploring Operation: 126-50=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 82, 91, 6, 74 ]
93
[ "82+91=173", "6+74=80", "173-80=93" ]
Current State: 93:[82, 91, 6, 74], Operations: [] Exploring Operation: 82+91=173, Resulting Numbers: [6, 74, 173] Generated Node #2: [6, 74, 173] from Operation: 82+91=173 Current State: 93:[6, 74, 173], Operations: ['82+91=173'] Exploring Operation: 6+74=80, Resulting Numbers: [173, 80] Generated Node #3: [173, 80] from Operation: 6+74=80 Current State: 93:[173, 80], Operations: ['82+91=173', '6+74=80'] Exploring Operation: 173-80=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 54, 56, 40, 51 ]
31
[ "56-54=2", "40/2=20", "51-20=31" ]
Current State: 31:[54, 56, 40, 51], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [40, 51, 2] Generated Node #2: [40, 51, 2] from Operation: 56-54=2 Current State: 31:[40, 51, 2], Operations: ['56-54=2'] Exploring Operation: 40/2=20, Resulting Numbers: [51, 20] Generated Node #3: [51, 20] from Operation: 40/2=20 Current State: 31:[51, 20], Operations: ['56-54=2', '40/2=20'] Exploring Operation: 51-20=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 92, 98, 84, 77 ]
29
[ "92+98=190", "84+77=161", "190-161=29" ]
Current State: 29:[92, 98, 84, 77], Operations: [] Exploring Operation: 92+98=190, Resulting Numbers: [84, 77, 190] Generated Node #2: [84, 77, 190] from Operation: 92+98=190 Current State: 29:[84, 77, 190], Operations: ['92+98=190'] Exploring Operation: 84+77=161, Resulting Numbers: [190, 161] Generated Node #3: [190, 161] from Operation: 84+77=161 Current State: 29:[190, 161], Operations: ['92+98=190', '84+77=161'] Exploring Operation: 190-161=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 34, 25, 22, 6 ]
87
[ "34+25=59", "22+6=28", "59+28=87" ]
Current State: 87:[34, 25, 22, 6], Operations: [] Exploring Operation: 34+25=59, Resulting Numbers: [22, 6, 59] Generated Node #2: [22, 6, 59] from Operation: 34+25=59 Current State: 87:[22, 6, 59], Operations: ['34+25=59'] Exploring Operation: 22+6=28, Resulting Numbers: [59, 28] Generated Node #3: [59, 28] from Operation: 22+6=28 Current State: 87:[59, 28], Operations: ['34+25=59', '22+6=28'] Exploring Operation: 59+28=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 77, 4, 16, 20 ]
48
[ "4*20=80", "80-77=3", "16*3=48" ]
Current State: 48:[77, 4, 16, 20], Operations: [] Exploring Operation: 4*20=80, Resulting Numbers: [77, 16, 80] Generated Node #2: [77, 16, 80] from Operation: 4*20=80 Current State: 48:[77, 16, 80], Operations: ['4*20=80'] Exploring Operation: 80-77=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 80-77=3 Current State: 48:[16, 3], Operations: ['4*20=80', '80-77=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 20, 21, 96, 13 ]
11
[ "21+96=117", "117/13=9", "20-9=11" ]
Current State: 11:[20, 21, 96, 13], Operations: [] Exploring Operation: 21+96=117, Resulting Numbers: [20, 13, 117] Generated Node #2: [20, 13, 117] from Operation: 21+96=117 Current State: 11:[20, 13, 117], Operations: ['21+96=117'] Exploring Operation: 117/13=9, Resulting Numbers: [20, 9] Generated Node #3: [20, 9] from Operation: 117/13=9 Current State: 11:[20, 9], Operations: ['21+96=117', '117/13=9'] Exploring Operation: 20-9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 44, 51, 18, 84 ]
88
[ "18+84=102", "44*102=4488", "4488/51=88" ]
Current State: 88:[44, 51, 18, 84], Operations: [] Exploring Operation: 18+84=102, Resulting Numbers: [44, 51, 102] Generated Node #2: [44, 51, 102] from Operation: 18+84=102 Current State: 88:[44, 51, 102], Operations: ['18+84=102'] Exploring Operation: 44*102=4488, Resulting Numbers: [51, 4488] Generated Node #3: [51, 4488] from Operation: 44*102=4488 Current State: 88:[51, 4488], Operations: ['18+84=102', '44*102=4488'] Exploring Operation: 4488/51=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 65, 19, 25, 6 ]
34
[ "65+25=90", "90/6=15", "19+15=34" ]
Current State: 34:[65, 19, 25, 6], Operations: [] Exploring Operation: 65+25=90, Resulting Numbers: [19, 6, 90] Generated Node #2: [19, 6, 90] from Operation: 65+25=90 Current State: 34:[19, 6, 90], Operations: ['65+25=90'] Exploring Operation: 90/6=15, Resulting Numbers: [19, 15] Generated Node #3: [19, 15] from Operation: 90/6=15 Current State: 34:[19, 15], Operations: ['65+25=90', '90/6=15'] Exploring Operation: 19+15=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 50, 51, 2, 27 ]
38
[ "51-27=24", "24/2=12", "50-12=38" ]
Current State: 38:[50, 51, 2, 27], Operations: [] Exploring Operation: 51-27=24, Resulting Numbers: [50, 2, 24] Generated Node #2: [50, 2, 24] from Operation: 51-27=24 Current State: 38:[50, 2, 24], Operations: ['51-27=24'] Exploring Operation: 24/2=12, Resulting Numbers: [50, 12] Generated Node #3: [50, 12] from Operation: 24/2=12 Current State: 38:[50, 12], Operations: ['51-27=24', '24/2=12'] Exploring Operation: 50-12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 52, 53, 84, 22 ]
82
[ "52*84=4368", "4368-22=4346", "4346/53=82" ]
Current State: 82:[52, 53, 84, 22], Operations: [] Exploring Operation: 52*84=4368, Resulting Numbers: [53, 22, 4368] Generated Node #2: [53, 22, 4368] from Operation: 52*84=4368 Current State: 82:[53, 22, 4368], Operations: ['52*84=4368'] Exploring Operation: 4368-22=4346, Resulting Numbers: [53, 4346] Generated Node #3: [53, 4346] from Operation: 4368-22=4346 Current State: 82:[53, 4346], Operations: ['52*84=4368', '4368-22=4346'] Exploring Operation: 4346/53=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 51, 97, 54, 62 ]
70
[ "97-51=46", "54+62=116", "116-46=70" ]
Current State: 70:[51, 97, 54, 62], Operations: [] Exploring Operation: 97-51=46, Resulting Numbers: [54, 62, 46] Generated Node #2: [54, 62, 46] from Operation: 97-51=46 Current State: 70:[54, 62, 46], Operations: ['97-51=46'] Exploring Operation: 54+62=116, Resulting Numbers: [46, 116] Generated Node #3: [46, 116] from Operation: 54+62=116 Current State: 70:[46, 116], Operations: ['97-51=46', '54+62=116'] Exploring Operation: 116-46=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 42, 30, 43, 28 ]
64
[ "30-28=2", "42/2=21", "43+21=64" ]
Current State: 64:[42, 30, 43, 28], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [42, 43, 2] Generated Node #2: [42, 43, 2] from Operation: 30-28=2 Current State: 64:[42, 43, 2], Operations: ['30-28=2'] Exploring Operation: 42/2=21, Resulting Numbers: [43, 21] Generated Node #3: [43, 21] from Operation: 42/2=21 Current State: 64:[43, 21], Operations: ['30-28=2', '42/2=21'] Exploring Operation: 43+21=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 72, 65, 89, 58 ]
11
[ "72-58=14", "65+89=154", "154/14=11" ]
Current State: 11:[72, 65, 89, 58], Operations: [] Exploring Operation: 72-58=14, Resulting Numbers: [65, 89, 14] Generated Node #2: [65, 89, 14] from Operation: 72-58=14 Current State: 11:[65, 89, 14], Operations: ['72-58=14'] Exploring Operation: 65+89=154, Resulting Numbers: [14, 154] Generated Node #3: [14, 154] from Operation: 65+89=154 Current State: 11:[14, 154], Operations: ['72-58=14', '65+89=154'] Exploring Operation: 154/14=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 3, 44, 51, 27 ]
46
[ "3+51=54", "54/27=2", "44+2=46" ]
Current State: 46:[3, 44, 51, 27], Operations: [] Exploring Operation: 3+51=54, Resulting Numbers: [44, 27, 54] Generated Node #2: [44, 27, 54] from Operation: 3+51=54 Current State: 46:[44, 27, 54], Operations: ['3+51=54'] Exploring Operation: 54/27=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 54/27=2 Current State: 46:[44, 2], Operations: ['3+51=54', '54/27=2'] Exploring Operation: 44+2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 32, 20, 1, 61 ]
49
[ "32-20=12", "1*61=61", "61-12=49" ]
Current State: 49:[32, 20, 1, 61], Operations: [] Exploring Operation: 32-20=12, Resulting Numbers: [1, 61, 12] Generated Node #2: [1, 61, 12] from Operation: 32-20=12 Current State: 49:[1, 61, 12], Operations: ['32-20=12'] Exploring Operation: 1*61=61, Resulting Numbers: [12, 61] Generated Node #3: [12, 61] from Operation: 1*61=61 Current State: 49:[12, 61], Operations: ['32-20=12', '1*61=61'] Exploring Operation: 61-12=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 68, 2, 62, 59 ]
15
[ "68*2=136", "62+59=121", "136-121=15" ]
Current State: 15:[68, 2, 62, 59], Operations: [] Exploring Operation: 68*2=136, Resulting Numbers: [62, 59, 136] Generated Node #2: [62, 59, 136] from Operation: 68*2=136 Current State: 15:[62, 59, 136], Operations: ['68*2=136'] Exploring Operation: 62+59=121, Resulting Numbers: [136, 121] Generated Node #3: [136, 121] from Operation: 62+59=121 Current State: 15:[136, 121], Operations: ['68*2=136', '62+59=121'] Exploring Operation: 136-121=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 85, 1, 74, 92 ]
67
[ "85*1=85", "92-74=18", "85-18=67" ]
Current State: 67:[85, 1, 74, 92], Operations: [] Exploring Operation: 85*1=85, Resulting Numbers: [74, 92, 85] Generated Node #2: [74, 92, 85] from Operation: 85*1=85 Current State: 67:[74, 92, 85], Operations: ['85*1=85'] Exploring Operation: 92-74=18, Resulting Numbers: [85, 18] Generated Node #3: [85, 18] from Operation: 92-74=18 Current State: 67:[85, 18], Operations: ['85*1=85', '92-74=18'] Exploring Operation: 85-18=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 27, 27, 20, 83 ]
49
[ "27+27=54", "20+83=103", "103-54=49" ]
Current State: 49:[27, 27, 20, 83], Operations: [] Exploring Operation: 27+27=54, Resulting Numbers: [20, 83, 54] Generated Node #2: [20, 83, 54] from Operation: 27+27=54 Current State: 49:[20, 83, 54], Operations: ['27+27=54'] Exploring Operation: 20+83=103, Resulting Numbers: [54, 103] Generated Node #3: [54, 103] from Operation: 20+83=103 Current State: 49:[54, 103], Operations: ['27+27=54', '20+83=103'] Exploring Operation: 103-54=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 47, 3, 91, 70 ]
62
[ "91-47=44", "3*44=132", "132-70=62" ]
Current State: 62:[47, 3, 91, 70], Operations: [] Exploring Operation: 91-47=44, Resulting Numbers: [3, 70, 44] Generated Node #2: [3, 70, 44] from Operation: 91-47=44 Current State: 62:[3, 70, 44], Operations: ['91-47=44'] Exploring Operation: 3*44=132, Resulting Numbers: [70, 132] Generated Node #3: [70, 132] from Operation: 3*44=132 Current State: 62:[70, 132], Operations: ['91-47=44', '3*44=132'] Exploring Operation: 132-70=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 32, 94, 24, 67 ]
83
[ "32+94=126", "67-24=43", "126-43=83" ]
Current State: 83:[32, 94, 24, 67], Operations: [] Exploring Operation: 32+94=126, Resulting Numbers: [24, 67, 126] Generated Node #2: [24, 67, 126] from Operation: 32+94=126 Current State: 83:[24, 67, 126], Operations: ['32+94=126'] Exploring Operation: 67-24=43, Resulting Numbers: [126, 43] Generated Node #3: [126, 43] from Operation: 67-24=43 Current State: 83:[126, 43], Operations: ['32+94=126', '67-24=43'] Exploring Operation: 126-43=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 5, 18, 92, 54 ]
25
[ "18-5=13", "92-54=38", "38-13=25" ]
Current State: 25:[5, 18, 92, 54], Operations: [] Exploring Operation: 18-5=13, Resulting Numbers: [92, 54, 13] Generated Node #2: [92, 54, 13] from Operation: 18-5=13 Current State: 25:[92, 54, 13], Operations: ['18-5=13'] Exploring Operation: 92-54=38, Resulting Numbers: [13, 38] Generated Node #3: [13, 38] from Operation: 92-54=38 Current State: 25:[13, 38], Operations: ['18-5=13', '92-54=38'] Exploring Operation: 38-13=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 54, 76, 53, 15 ]
90
[ "76-54=22", "53+15=68", "22+68=90" ]
Current State: 90:[54, 76, 53, 15], Operations: [] Exploring Operation: 76-54=22, Resulting Numbers: [53, 15, 22] Generated Node #2: [53, 15, 22] from Operation: 76-54=22 Current State: 90:[53, 15, 22], Operations: ['76-54=22'] Exploring Operation: 53+15=68, Resulting Numbers: [22, 68] Generated Node #3: [22, 68] from Operation: 53+15=68 Current State: 90:[22, 68], Operations: ['76-54=22', '53+15=68'] Exploring Operation: 22+68=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 85, 14, 25, 8 ]
66
[ "85+14=99", "25+8=33", "99-33=66" ]
Current State: 66:[85, 14, 25, 8], Operations: [] Exploring Operation: 85+14=99, Resulting Numbers: [25, 8, 99] Generated Node #2: [25, 8, 99] from Operation: 85+14=99 Current State: 66:[25, 8, 99], Operations: ['85+14=99'] Exploring Operation: 25+8=33, Resulting Numbers: [99, 33] Generated Node #3: [99, 33] from Operation: 25+8=33 Current State: 66:[99, 33], Operations: ['85+14=99', '25+8=33'] Exploring Operation: 99-33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4