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
[ 42, 12, 27, 78 ]
39
[ "42+12=54", "27*78=2106", "2106/54=39" ]
Current State: 39:[42, 12, 27, 78], Operations: [] Exploring Operation: 42+12=54, Resulting Numbers: [27, 78, 54] Generated Node #2: [27, 78, 54] from Operation: 42+12=54 Current State: 39:[27, 78, 54], Operations: ['42+12=54'] Exploring Operation: 27*78=2106, Resulting Numbers: [54, 2106] Generated Node #3: [54, 2106] from Operation: 27*78=2106 Current State: 39:[54, 2106], Operations: ['42+12=54', '27*78=2106'] Exploring Operation: 2106/54=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 59, 80, 53, 90 ]
95
[ "59-53=6", "90/6=15", "80+15=95" ]
Current State: 95:[59, 80, 53, 90], Operations: [] Exploring Operation: 59-53=6, Resulting Numbers: [80, 90, 6] Generated Node #2: [80, 90, 6] from Operation: 59-53=6 Current State: 95:[80, 90, 6], Operations: ['59-53=6'] Exploring Operation: 90/6=15, Resulting Numbers: [80, 15] Generated Node #3: [80, 15] from Operation: 90/6=15 Current State: 95:[80, 15], Operations: ['59-53=6', '90/6=15'] Exploring Operation: 80+15=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 5, 93, 99, 97 ]
31
[ "99-5=94", "97-94=3", "93/3=31" ]
Current State: 31:[5, 93, 99, 97], Operations: [] Exploring Operation: 99-5=94, Resulting Numbers: [93, 97, 94] Generated Node #2: [93, 97, 94] from Operation: 99-5=94 Current State: 31:[93, 97, 94], Operations: ['99-5=94'] Exploring Operation: 97-94=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 97-94=3 Current State: 31:[93, 3], Operations: ['99-5=94', '97-94=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 80, 37, 83, 42 ]
83
[ "80-37=43", "43-42=1", "83*1=83" ]
Current State: 83:[80, 37, 83, 42], Operations: [] Exploring Operation: 80-37=43, Resulting Numbers: [83, 42, 43] Generated Node #2: [83, 42, 43] from Operation: 80-37=43 Current State: 83:[83, 42, 43], Operations: ['80-37=43'] Exploring Operation: 43-42=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 43-42=1 Current State: 83:[83, 1], Operations: ['80-37=43', '43-42=1'] Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 52, 80, 84, 66 ]
46
[ "80-52=28", "84-66=18", "28+18=46" ]
Current State: 46:[52, 80, 84, 66], Operations: [] Exploring Operation: 80-52=28, Resulting Numbers: [84, 66, 28] Generated Node #2: [84, 66, 28] from Operation: 80-52=28 Current State: 46:[84, 66, 28], Operations: ['80-52=28'] Exploring Operation: 84-66=18, Resulting Numbers: [28, 18] Generated Node #3: [28, 18] from Operation: 84-66=18 Current State: 46:[28, 18], Operations: ['80-52=28', '84-66=18'] Exploring Operation: 28+18=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 8, 37, 55, 10 ]
70
[ "8*55=440", "37*10=370", "440-370=70" ]
Current State: 70:[8, 37, 55, 10], Operations: [] Exploring Operation: 8*55=440, Resulting Numbers: [37, 10, 440] Generated Node #2: [37, 10, 440] from Operation: 8*55=440 Current State: 70:[37, 10, 440], Operations: ['8*55=440'] Exploring Operation: 37*10=370, Resulting Numbers: [440, 370] Generated Node #3: [440, 370] from Operation: 37*10=370 Current State: 70:[440, 370], Operations: ['8*55=440', '37*10=370'] Exploring Operation: 440-370=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 45, 79, 70, 24 ]
79
[ "70-45=25", "25-24=1", "79*1=79" ]
Current State: 79:[45, 79, 70, 24], Operations: [] Exploring Operation: 70-45=25, Resulting Numbers: [79, 24, 25] Generated Node #2: [79, 24, 25] from Operation: 70-45=25 Current State: 79:[79, 24, 25], Operations: ['70-45=25'] Exploring Operation: 25-24=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 25-24=1 Current State: 79:[79, 1], Operations: ['70-45=25', '25-24=1'] Exploring Operation: 79*1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 19, 66, 28, 31 ]
29
[ "66-28=38", "38/19=2", "31-2=29" ]
Current State: 29:[19, 66, 28, 31], Operations: [] Exploring Operation: 66-28=38, Resulting Numbers: [19, 31, 38] Generated Node #2: [19, 31, 38] from Operation: 66-28=38 Current State: 29:[19, 31, 38], Operations: ['66-28=38'] Exploring Operation: 38/19=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 38/19=2 Current State: 29:[31, 2], Operations: ['66-28=38', '38/19=2'] Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 85, 33, 97, 92 ]
16
[ "97-92=5", "85/5=17", "33-17=16" ]
Current State: 16:[85, 33, 97, 92], Operations: [] Exploring Operation: 97-92=5, Resulting Numbers: [85, 33, 5] Generated Node #2: [85, 33, 5] from Operation: 97-92=5 Current State: 16:[85, 33, 5], Operations: ['97-92=5'] Exploring Operation: 85/5=17, Resulting Numbers: [33, 17] Generated Node #3: [33, 17] from Operation: 85/5=17 Current State: 16:[33, 17], Operations: ['97-92=5', '85/5=17'] Exploring Operation: 33-17=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 72, 44, 4, 69 ]
98
[ "72+44=116", "116/4=29", "69+29=98" ]
Current State: 98:[72, 44, 4, 69], Operations: [] Exploring Operation: 72+44=116, Resulting Numbers: [4, 69, 116] Generated Node #2: [4, 69, 116] from Operation: 72+44=116 Current State: 98:[4, 69, 116], Operations: ['72+44=116'] Exploring Operation: 116/4=29, Resulting Numbers: [69, 29] Generated Node #3: [69, 29] from Operation: 116/4=29 Current State: 98:[69, 29], Operations: ['72+44=116', '116/4=29'] Exploring Operation: 69+29=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 75, 80, 39, 28 ]
72
[ "80-75=5", "39+28=67", "5+67=72" ]
Current State: 72:[75, 80, 39, 28], Operations: [] Exploring Operation: 80-75=5, Resulting Numbers: [39, 28, 5] Generated Node #2: [39, 28, 5] from Operation: 80-75=5 Current State: 72:[39, 28, 5], Operations: ['80-75=5'] Exploring Operation: 39+28=67, Resulting Numbers: [5, 67] Generated Node #3: [5, 67] from Operation: 39+28=67 Current State: 72:[5, 67], Operations: ['80-75=5', '39+28=67'] Exploring Operation: 5+67=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 54, 6, 19, 3 ]
54
[ "6*3=18", "19-18=1", "54*1=54" ]
Current State: 54:[54, 6, 19, 3], Operations: [] Exploring Operation: 6*3=18, Resulting Numbers: [54, 19, 18] Generated Node #2: [54, 19, 18] from Operation: 6*3=18 Current State: 54:[54, 19, 18], Operations: ['6*3=18'] Exploring Operation: 19-18=1, Resulting Numbers: [54, 1] Generated Node #3: [54, 1] from Operation: 19-18=1 Current State: 54:[54, 1], Operations: ['6*3=18', '19-18=1'] Exploring Operation: 54*1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 2, 18, 38, 8 ]
19
[ "18-2=16", "38*8=304", "304/16=19" ]
Current State: 19:[2, 18, 38, 8], Operations: [] Exploring Operation: 18-2=16, Resulting Numbers: [38, 8, 16] Generated Node #2: [38, 8, 16] from Operation: 18-2=16 Current State: 19:[38, 8, 16], Operations: ['18-2=16'] Exploring Operation: 38*8=304, Resulting Numbers: [16, 304] Generated Node #3: [16, 304] from Operation: 38*8=304 Current State: 19:[16, 304], Operations: ['18-2=16', '38*8=304'] Exploring Operation: 304/16=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 53, 21, 85, 8 ]
10
[ "21+85=106", "106/53=2", "8+2=10" ]
Current State: 10:[53, 21, 85, 8], Operations: [] Exploring Operation: 21+85=106, Resulting Numbers: [53, 8, 106] Generated Node #2: [53, 8, 106] from Operation: 21+85=106 Current State: 10:[53, 8, 106], Operations: ['21+85=106'] Exploring Operation: 106/53=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 106/53=2 Current State: 10:[8, 2], Operations: ['21+85=106', '106/53=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 45, 9, 7, 79 ]
61
[ "45+79=124", "9*7=63", "124-63=61" ]
Current State: 61:[45, 9, 7, 79], Operations: [] Exploring Operation: 45+79=124, Resulting Numbers: [9, 7, 124] Generated Node #2: [9, 7, 124] from Operation: 45+79=124 Current State: 61:[9, 7, 124], Operations: ['45+79=124'] Exploring Operation: 9*7=63, Resulting Numbers: [124, 63] Generated Node #3: [124, 63] from Operation: 9*7=63 Current State: 61:[124, 63], Operations: ['45+79=124', '9*7=63'] Exploring Operation: 124-63=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 90, 72, 21, 80 ]
77
[ "90-72=18", "80-21=59", "18+59=77" ]
Current State: 77:[90, 72, 21, 80], Operations: [] Exploring Operation: 90-72=18, Resulting Numbers: [21, 80, 18] Generated Node #2: [21, 80, 18] from Operation: 90-72=18 Current State: 77:[21, 80, 18], Operations: ['90-72=18'] Exploring Operation: 80-21=59, Resulting Numbers: [18, 59] Generated Node #3: [18, 59] from Operation: 80-21=59 Current State: 77:[18, 59], Operations: ['90-72=18', '80-21=59'] Exploring Operation: 18+59=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 78, 12, 80, 94 ]
76
[ "78+12=90", "94-80=14", "90-14=76" ]
Current State: 76:[78, 12, 80, 94], Operations: [] Exploring Operation: 78+12=90, Resulting Numbers: [80, 94, 90] Generated Node #2: [80, 94, 90] from Operation: 78+12=90 Current State: 76:[80, 94, 90], Operations: ['78+12=90'] Exploring Operation: 94-80=14, Resulting Numbers: [90, 14] Generated Node #3: [90, 14] from Operation: 94-80=14 Current State: 76:[90, 14], Operations: ['78+12=90', '94-80=14'] Exploring Operation: 90-14=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 20, 76, 2, 68 ]
64
[ "20+68=88", "76*2=152", "152-88=64" ]
Current State: 64:[20, 76, 2, 68], Operations: [] Exploring Operation: 20+68=88, Resulting Numbers: [76, 2, 88] Generated Node #2: [76, 2, 88] from Operation: 20+68=88 Current State: 64:[76, 2, 88], Operations: ['20+68=88'] Exploring Operation: 76*2=152, Resulting Numbers: [88, 152] Generated Node #3: [88, 152] from Operation: 76*2=152 Current State: 64:[88, 152], Operations: ['20+68=88', '76*2=152'] Exploring Operation: 152-88=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 88, 74, 92, 31 ]
50
[ "92-88=4", "31*4=124", "124-74=50" ]
Current State: 50:[88, 74, 92, 31], Operations: [] Exploring Operation: 92-88=4, Resulting Numbers: [74, 31, 4] Generated Node #2: [74, 31, 4] from Operation: 92-88=4 Current State: 50:[74, 31, 4], Operations: ['92-88=4'] Exploring Operation: 31*4=124, Resulting Numbers: [74, 124] Generated Node #3: [74, 124] from Operation: 31*4=124 Current State: 50:[74, 124], Operations: ['92-88=4', '31*4=124'] Exploring Operation: 124-74=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 94, 91, 40, 14 ]
82
[ "94-91=3", "14*3=42", "40+42=82" ]
Current State: 82:[94, 91, 40, 14], Operations: [] Exploring Operation: 94-91=3, Resulting Numbers: [40, 14, 3] Generated Node #2: [40, 14, 3] from Operation: 94-91=3 Current State: 82:[40, 14, 3], Operations: ['94-91=3'] Exploring Operation: 14*3=42, Resulting Numbers: [40, 42] Generated Node #3: [40, 42] from Operation: 14*3=42 Current State: 82:[40, 42], Operations: ['94-91=3', '14*3=42'] Exploring Operation: 40+42=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 84, 94, 30, 86 ]
90
[ "94+86=180", "180/30=6", "84+6=90" ]
Current State: 90:[84, 94, 30, 86], Operations: [] Exploring Operation: 94+86=180, Resulting Numbers: [84, 30, 180] Generated Node #2: [84, 30, 180] from Operation: 94+86=180 Current State: 90:[84, 30, 180], Operations: ['94+86=180'] Exploring Operation: 180/30=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 180/30=6 Current State: 90:[84, 6], Operations: ['94+86=180', '180/30=6'] Exploring Operation: 84+6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 44, 72, 85, 17 ]
11
[ "85-72=13", "17-13=4", "44/4=11" ]
Current State: 11:[44, 72, 85, 17], Operations: [] Exploring Operation: 85-72=13, Resulting Numbers: [44, 17, 13] Generated Node #2: [44, 17, 13] from Operation: 85-72=13 Current State: 11:[44, 17, 13], Operations: ['85-72=13'] Exploring Operation: 17-13=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 17-13=4 Current State: 11:[44, 4], Operations: ['85-72=13', '17-13=4'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 25, 54, 67, 52 ]
64
[ "25+54=79", "67-52=15", "79-15=64" ]
Current State: 64:[25, 54, 67, 52], Operations: [] Exploring Operation: 25+54=79, Resulting Numbers: [67, 52, 79] Generated Node #2: [67, 52, 79] from Operation: 25+54=79 Current State: 64:[67, 52, 79], Operations: ['25+54=79'] Exploring Operation: 67-52=15, Resulting Numbers: [79, 15] Generated Node #3: [79, 15] from Operation: 67-52=15 Current State: 64:[79, 15], Operations: ['25+54=79', '67-52=15'] Exploring Operation: 79-15=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 62, 55, 39, 15 ]
62
[ "55-39=16", "16-15=1", "62*1=62" ]
Current State: 62:[62, 55, 39, 15], Operations: [] Exploring Operation: 55-39=16, Resulting Numbers: [62, 15, 16] Generated Node #2: [62, 15, 16] from Operation: 55-39=16 Current State: 62:[62, 15, 16], Operations: ['55-39=16'] Exploring Operation: 16-15=1, Resulting Numbers: [62, 1] Generated Node #3: [62, 1] from Operation: 16-15=1 Current State: 62:[62, 1], Operations: ['55-39=16', '16-15=1'] Exploring Operation: 62*1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 43, 99, 8, 72 ]
47
[ "99-43=56", "72/8=9", "56-9=47" ]
Current State: 47:[43, 99, 8, 72], Operations: [] Exploring Operation: 99-43=56, Resulting Numbers: [8, 72, 56] Generated Node #2: [8, 72, 56] from Operation: 99-43=56 Current State: 47:[8, 72, 56], Operations: ['99-43=56'] Exploring Operation: 72/8=9, Resulting Numbers: [56, 9] Generated Node #3: [56, 9] from Operation: 72/8=9 Current State: 47:[56, 9], Operations: ['99-43=56', '72/8=9'] Exploring Operation: 56-9=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 3, 53, 51, 43 ]
49
[ "53+51=104", "43+104=147", "147/3=49" ]
Current State: 49:[3, 53, 51, 43], Operations: [] Exploring Operation: 53+51=104, Resulting Numbers: [3, 43, 104] Generated Node #2: [3, 43, 104] from Operation: 53+51=104 Current State: 49:[3, 43, 104], Operations: ['53+51=104'] Exploring Operation: 43+104=147, Resulting Numbers: [3, 147] Generated Node #3: [3, 147] from Operation: 43+104=147 Current State: 49:[3, 147], Operations: ['53+51=104', '43+104=147'] Exploring Operation: 147/3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 40, 19, 7, 18 ]
60
[ "40*18=720", "19-7=12", "720/12=60" ]
Current State: 60:[40, 19, 7, 18], Operations: [] Exploring Operation: 40*18=720, Resulting Numbers: [19, 7, 720] Generated Node #2: [19, 7, 720] from Operation: 40*18=720 Current State: 60:[19, 7, 720], Operations: ['40*18=720'] Exploring Operation: 19-7=12, Resulting Numbers: [720, 12] Generated Node #3: [720, 12] from Operation: 19-7=12 Current State: 60:[720, 12], Operations: ['40*18=720', '19-7=12'] Exploring Operation: 720/12=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 5, 81, 10, 74 ]
21
[ "81+74=155", "155/5=31", "31-10=21" ]
Current State: 21:[5, 81, 10, 74], Operations: [] Exploring Operation: 81+74=155, Resulting Numbers: [5, 10, 155] Generated Node #2: [5, 10, 155] from Operation: 81+74=155 Current State: 21:[5, 10, 155], Operations: ['81+74=155'] Exploring Operation: 155/5=31, Resulting Numbers: [10, 31] Generated Node #3: [10, 31] from Operation: 155/5=31 Current State: 21:[10, 31], Operations: ['81+74=155', '155/5=31'] Exploring Operation: 31-10=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 96, 20, 31, 70 ]
25
[ "96-20=76", "31+70=101", "101-76=25" ]
Current State: 25:[96, 20, 31, 70], Operations: [] Exploring Operation: 96-20=76, Resulting Numbers: [31, 70, 76] Generated Node #2: [31, 70, 76] from Operation: 96-20=76 Current State: 25:[31, 70, 76], Operations: ['96-20=76'] Exploring Operation: 31+70=101, Resulting Numbers: [76, 101] Generated Node #3: [76, 101] from Operation: 31+70=101 Current State: 25:[76, 101], Operations: ['96-20=76', '31+70=101'] Exploring Operation: 101-76=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 95, 78, 85, 17 ]
85
[ "95-78=17", "85+17=102", "102-17=85" ]
Current State: 85:[95, 78, 85, 17], Operations: [] Exploring Operation: 95-78=17, Resulting Numbers: [85, 17, 17] Generated Node #2: [85, 17, 17] from Operation: 95-78=17 Current State: 85:[85, 17, 17], Operations: ['95-78=17'] Exploring Operation: 85+17=102, Resulting Numbers: [102] 102,85 equal: Goal Reached Exploring Operation: 102-17=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 35, 52, 47, 45 ]
61
[ "47-45=2", "52/2=26", "35+26=61" ]
Current State: 61:[35, 52, 47, 45], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [35, 52, 2] Generated Node #2: [35, 52, 2] from Operation: 47-45=2 Current State: 61:[35, 52, 2], Operations: ['47-45=2'] Exploring Operation: 52/2=26, Resulting Numbers: [35, 26] Generated Node #3: [35, 26] from Operation: 52/2=26 Current State: 61:[35, 26], Operations: ['47-45=2', '52/2=26'] Exploring Operation: 35+26=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 45, 41, 1, 96 ]
24
[ "45-41=4", "1*96=96", "96/4=24" ]
Current State: 24:[45, 41, 1, 96], Operations: [] Exploring Operation: 45-41=4, Resulting Numbers: [1, 96, 4] Generated Node #2: [1, 96, 4] from Operation: 45-41=4 Current State: 24:[1, 96, 4], Operations: ['45-41=4'] Exploring Operation: 1*96=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 1*96=96 Current State: 24:[4, 96], Operations: ['45-41=4', '1*96=96'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 8, 57, 4, 63 ]
51
[ "8*57=456", "456/4=114", "114-63=51" ]
Current State: 51:[8, 57, 4, 63], Operations: [] Exploring Operation: 8*57=456, Resulting Numbers: [4, 63, 456] Generated Node #2: [4, 63, 456] from Operation: 8*57=456 Current State: 51:[4, 63, 456], Operations: ['8*57=456'] Exploring Operation: 456/4=114, Resulting Numbers: [63, 114] Generated Node #3: [63, 114] from Operation: 456/4=114 Current State: 51:[63, 114], Operations: ['8*57=456', '456/4=114'] Exploring Operation: 114-63=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 93, 37, 23, 80 ]
47
[ "93-37=56", "23+80=103", "103-56=47" ]
Current State: 47:[93, 37, 23, 80], Operations: [] Exploring Operation: 93-37=56, Resulting Numbers: [23, 80, 56] Generated Node #2: [23, 80, 56] from Operation: 93-37=56 Current State: 47:[23, 80, 56], Operations: ['93-37=56'] Exploring Operation: 23+80=103, Resulting Numbers: [56, 103] Generated Node #3: [56, 103] from Operation: 23+80=103 Current State: 47:[56, 103], Operations: ['93-37=56', '23+80=103'] Exploring Operation: 103-56=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 49, 45, 64, 53 ]
37
[ "49-45=4", "64/4=16", "53-16=37" ]
Current State: 37:[49, 45, 64, 53], Operations: [] Exploring Operation: 49-45=4, Resulting Numbers: [64, 53, 4] Generated Node #2: [64, 53, 4] from Operation: 49-45=4 Current State: 37:[64, 53, 4], Operations: ['49-45=4'] Exploring Operation: 64/4=16, Resulting Numbers: [53, 16] Generated Node #3: [53, 16] from Operation: 64/4=16 Current State: 37:[53, 16], Operations: ['49-45=4', '64/4=16'] Exploring Operation: 53-16=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 20, 23, 23, 40 ]
51
[ "23-20=3", "40-23=17", "3*17=51" ]
Current State: 51:[20, 23, 23, 40], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [40, 3] Generated Node #2: [40, 3] from Operation: 23-20=3 Current State: 51:[40, 3], Operations: ['23-20=3'] Exploring Operation: 40-23=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 40-23=17 Current State: 51:[3, 17], Operations: ['23-20=3', '40-23=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 22, 61, 74, 94 ]
19
[ "61-22=39", "94-74=20", "39-20=19" ]
Current State: 19:[22, 61, 74, 94], Operations: [] Exploring Operation: 61-22=39, Resulting Numbers: [74, 94, 39] Generated Node #2: [74, 94, 39] from Operation: 61-22=39 Current State: 19:[74, 94, 39], Operations: ['61-22=39'] Exploring Operation: 94-74=20, Resulting Numbers: [39, 20] Generated Node #3: [39, 20] from Operation: 94-74=20 Current State: 19:[39, 20], Operations: ['61-22=39', '94-74=20'] Exploring Operation: 39-20=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 37, 2, 49, 74 ]
87
[ "74-49=25", "2*25=50", "37+50=87" ]
Current State: 87:[37, 2, 49, 74], Operations: [] Exploring Operation: 74-49=25, Resulting Numbers: [37, 2, 25] Generated Node #2: [37, 2, 25] from Operation: 74-49=25 Current State: 87:[37, 2, 25], Operations: ['74-49=25'] Exploring Operation: 2*25=50, Resulting Numbers: [37, 50] Generated Node #3: [37, 50] from Operation: 2*25=50 Current State: 87:[37, 50], Operations: ['74-49=25', '2*25=50'] Exploring Operation: 37+50=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 88, 60, 28, 35 ]
36
[ "88-60=28", "28/28=1", "35+1=36" ]
Current State: 36:[88, 60, 28, 35], Operations: [] Exploring Operation: 88-60=28, Resulting Numbers: [28, 35, 28] Generated Node #2: [28, 35, 28] from Operation: 88-60=28 Current State: 36:[28, 35, 28], Operations: ['88-60=28'] Exploring Operation: 28/28=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 28/28=1 Current State: 36:[35, 1], Operations: ['88-60=28', '28/28=1'] Exploring Operation: 35+1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 49, 5, 5, 2 ]
97
[ "49*2=98", "5/5=1", "98-1=97" ]
Current State: 97:[49, 5, 5, 2], Operations: [] Exploring Operation: 49*2=98, Resulting Numbers: [5, 5, 98] Generated Node #2: [5, 5, 98] from Operation: 49*2=98 Current State: 97:[5, 5, 98], Operations: ['49*2=98'] Exploring Operation: 5/5=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 5/5=1 Current State: 97:[98, 1], Operations: ['49*2=98', '5/5=1'] Exploring Operation: 98-1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 73, 1, 84, 7 ]
87
[ "7-1=6", "84/6=14", "73+14=87" ]
Current State: 87:[73, 1, 84, 7], Operations: [] Exploring Operation: 7-1=6, Resulting Numbers: [73, 84, 6] Generated Node #2: [73, 84, 6] from Operation: 7-1=6 Current State: 87:[73, 84, 6], Operations: ['7-1=6'] Exploring Operation: 84/6=14, Resulting Numbers: [73, 14] Generated Node #3: [73, 14] from Operation: 84/6=14 Current State: 87:[73, 14], Operations: ['7-1=6', '84/6=14'] Exploring Operation: 73+14=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 2, 55, 79, 48 ]
36
[ "79-55=24", "24/2=12", "48-12=36" ]
Current State: 36:[2, 55, 79, 48], Operations: [] Exploring Operation: 79-55=24, Resulting Numbers: [2, 48, 24] Generated Node #2: [2, 48, 24] from Operation: 79-55=24 Current State: 36:[2, 48, 24], Operations: ['79-55=24'] Exploring Operation: 24/2=12, Resulting Numbers: [48, 12] Generated Node #3: [48, 12] from Operation: 24/2=12 Current State: 36:[48, 12], Operations: ['79-55=24', '24/2=12'] Exploring Operation: 48-12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 90, 57, 6, 77 ]
27
[ "90*6=540", "77-57=20", "540/20=27" ]
Current State: 27:[90, 57, 6, 77], Operations: [] Exploring Operation: 90*6=540, Resulting Numbers: [57, 77, 540] Generated Node #2: [57, 77, 540] from Operation: 90*6=540 Current State: 27:[57, 77, 540], Operations: ['90*6=540'] Exploring Operation: 77-57=20, Resulting Numbers: [540, 20] Generated Node #3: [540, 20] from Operation: 77-57=20 Current State: 27:[540, 20], Operations: ['90*6=540', '77-57=20'] Exploring Operation: 540/20=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 5, 90, 22, 98 ]
35
[ "90-5=85", "22+98=120", "120-85=35" ]
Current State: 35:[5, 90, 22, 98], Operations: [] Exploring Operation: 90-5=85, Resulting Numbers: [22, 98, 85] Generated Node #2: [22, 98, 85] from Operation: 90-5=85 Current State: 35:[22, 98, 85], Operations: ['90-5=85'] Exploring Operation: 22+98=120, Resulting Numbers: [85, 120] Generated Node #3: [85, 120] from Operation: 22+98=120 Current State: 35:[85, 120], Operations: ['90-5=85', '22+98=120'] Exploring Operation: 120-85=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 68, 64, 54, 6 ]
72
[ "68+64=132", "54+6=60", "132-60=72" ]
Current State: 72:[68, 64, 54, 6], Operations: [] Exploring Operation: 68+64=132, Resulting Numbers: [54, 6, 132] Generated Node #2: [54, 6, 132] from Operation: 68+64=132 Current State: 72:[54, 6, 132], Operations: ['68+64=132'] Exploring Operation: 54+6=60, Resulting Numbers: [132, 60] Generated Node #3: [132, 60] from Operation: 54+6=60 Current State: 72:[132, 60], Operations: ['68+64=132', '54+6=60'] Exploring Operation: 132-60=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 18, 91, 67, 15 ]
57
[ "18+91=109", "67-15=52", "109-52=57" ]
Current State: 57:[18, 91, 67, 15], Operations: [] Exploring Operation: 18+91=109, Resulting Numbers: [67, 15, 109] Generated Node #2: [67, 15, 109] from Operation: 18+91=109 Current State: 57:[67, 15, 109], Operations: ['18+91=109'] Exploring Operation: 67-15=52, Resulting Numbers: [109, 52] Generated Node #3: [109, 52] from Operation: 67-15=52 Current State: 57:[109, 52], Operations: ['18+91=109', '67-15=52'] Exploring Operation: 109-52=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 60, 46, 45, 95 ]
64
[ "60-46=14", "95-45=50", "14+50=64" ]
Current State: 64:[60, 46, 45, 95], Operations: [] Exploring Operation: 60-46=14, Resulting Numbers: [45, 95, 14] Generated Node #2: [45, 95, 14] from Operation: 60-46=14 Current State: 64:[45, 95, 14], Operations: ['60-46=14'] Exploring Operation: 95-45=50, Resulting Numbers: [14, 50] Generated Node #3: [14, 50] from Operation: 95-45=50 Current State: 64:[14, 50], Operations: ['60-46=14', '95-45=50'] Exploring Operation: 14+50=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 28, 8, 11, 97 ]
88
[ "28-8=20", "11+97=108", "108-20=88" ]
Current State: 88:[28, 8, 11, 97], Operations: [] Exploring Operation: 28-8=20, Resulting Numbers: [11, 97, 20] Generated Node #2: [11, 97, 20] from Operation: 28-8=20 Current State: 88:[11, 97, 20], Operations: ['28-8=20'] Exploring Operation: 11+97=108, Resulting Numbers: [20, 108] Generated Node #3: [20, 108] from Operation: 11+97=108 Current State: 88:[20, 108], Operations: ['28-8=20', '11+97=108'] Exploring Operation: 108-20=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 49, 30, 96, 56 ]
73
[ "49+30=79", "96+56=152", "152-79=73" ]
Current State: 73:[49, 30, 96, 56], Operations: [] Exploring Operation: 49+30=79, Resulting Numbers: [96, 56, 79] Generated Node #2: [96, 56, 79] from Operation: 49+30=79 Current State: 73:[96, 56, 79], Operations: ['49+30=79'] Exploring Operation: 96+56=152, Resulting Numbers: [79, 152] Generated Node #3: [79, 152] from Operation: 96+56=152 Current State: 73:[79, 152], Operations: ['49+30=79', '96+56=152'] Exploring Operation: 152-79=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 32, 97, 23, 11 ]
92
[ "32+23=55", "55/11=5", "97-5=92" ]
Current State: 92:[32, 97, 23, 11], Operations: [] Exploring Operation: 32+23=55, Resulting Numbers: [97, 11, 55] Generated Node #2: [97, 11, 55] from Operation: 32+23=55 Current State: 92:[97, 11, 55], Operations: ['32+23=55'] Exploring Operation: 55/11=5, Resulting Numbers: [97, 5] Generated Node #3: [97, 5] from Operation: 55/11=5 Current State: 92:[97, 5], Operations: ['32+23=55', '55/11=5'] Exploring Operation: 97-5=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 19, 80, 13, 18 ]
66
[ "80-19=61", "18-13=5", "61+5=66" ]
Current State: 66:[19, 80, 13, 18], Operations: [] Exploring Operation: 80-19=61, Resulting Numbers: [13, 18, 61] Generated Node #2: [13, 18, 61] from Operation: 80-19=61 Current State: 66:[13, 18, 61], Operations: ['80-19=61'] Exploring Operation: 18-13=5, Resulting Numbers: [61, 5] Generated Node #3: [61, 5] from Operation: 18-13=5 Current State: 66:[61, 5], Operations: ['80-19=61', '18-13=5'] Exploring Operation: 61+5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 31, 93, 94, 38 ]
68
[ "31+93=124", "94-38=56", "124-56=68" ]
Current State: 68:[31, 93, 94, 38], Operations: [] Exploring Operation: 31+93=124, Resulting Numbers: [94, 38, 124] Generated Node #2: [94, 38, 124] from Operation: 31+93=124 Current State: 68:[94, 38, 124], Operations: ['31+93=124'] Exploring Operation: 94-38=56, Resulting Numbers: [124, 56] Generated Node #3: [124, 56] from Operation: 94-38=56 Current State: 68:[124, 56], Operations: ['31+93=124', '94-38=56'] Exploring Operation: 124-56=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 7, 82, 25, 41 ]
44
[ "82-7=75", "75/25=3", "41+3=44" ]
Current State: 44:[7, 82, 25, 41], Operations: [] Exploring Operation: 82-7=75, Resulting Numbers: [25, 41, 75] Generated Node #2: [25, 41, 75] from Operation: 82-7=75 Current State: 44:[25, 41, 75], Operations: ['82-7=75'] Exploring Operation: 75/25=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 75/25=3 Current State: 44:[41, 3], Operations: ['82-7=75', '75/25=3'] Exploring Operation: 41+3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 90, 72, 56, 73 ]
33
[ "90+72=162", "56+73=129", "162-129=33" ]
Current State: 33:[90, 72, 56, 73], Operations: [] Exploring Operation: 90+72=162, Resulting Numbers: [56, 73, 162] Generated Node #2: [56, 73, 162] from Operation: 90+72=162 Current State: 33:[56, 73, 162], Operations: ['90+72=162'] Exploring Operation: 56+73=129, Resulting Numbers: [162, 129] Generated Node #3: [162, 129] from Operation: 56+73=129 Current State: 33:[162, 129], Operations: ['90+72=162', '56+73=129'] Exploring Operation: 162-129=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 81, 4, 78, 6 ]
90
[ "81-4=77", "78/6=13", "77+13=90" ]
Current State: 90:[81, 4, 78, 6], Operations: [] Exploring Operation: 81-4=77, Resulting Numbers: [78, 6, 77] Generated Node #2: [78, 6, 77] from Operation: 81-4=77 Current State: 90:[78, 6, 77], Operations: ['81-4=77'] Exploring Operation: 78/6=13, Resulting Numbers: [77, 13] Generated Node #3: [77, 13] from Operation: 78/6=13 Current State: 90:[77, 13], Operations: ['81-4=77', '78/6=13'] Exploring Operation: 77+13=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 37, 47, 24, 7 ]
98
[ "47-37=10", "24-10=14", "7*14=98" ]
Current State: 98:[37, 47, 24, 7], Operations: [] Exploring Operation: 47-37=10, Resulting Numbers: [24, 7, 10] Generated Node #2: [24, 7, 10] from Operation: 47-37=10 Current State: 98:[24, 7, 10], Operations: ['47-37=10'] Exploring Operation: 24-10=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 24-10=14 Current State: 98:[7, 14], Operations: ['47-37=10', '24-10=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 24, 39, 44, 25 ]
83
[ "25-24=1", "39+44=83", "1*83=83" ]
Current State: 83:[24, 39, 44, 25], Operations: [] Exploring Operation: 25-24=1, Resulting Numbers: [39, 44, 1] Generated Node #2: [39, 44, 1] from Operation: 25-24=1 Current State: 83:[39, 44, 1], Operations: ['25-24=1'] Exploring Operation: 39+44=83, Resulting Numbers: [1, 83] Generated Node #3: [1, 83] from Operation: 39+44=83 Current State: 83:[1, 83], Operations: ['25-24=1', '39+44=83'] Exploring Operation: 1*83=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 90, 4, 92, 7 ]
26
[ "92-90=2", "4*7=28", "28-2=26" ]
Current State: 26:[90, 4, 92, 7], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [4, 7, 2] Generated Node #2: [4, 7, 2] from Operation: 92-90=2 Current State: 26:[4, 7, 2], Operations: ['92-90=2'] Exploring Operation: 4*7=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 4*7=28 Current State: 26:[2, 28], Operations: ['92-90=2', '4*7=28'] Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 2, 68, 4, 81 ]
44
[ "2+68=70", "81-70=11", "4*11=44" ]
Current State: 44:[2, 68, 4, 81], Operations: [] Exploring Operation: 2+68=70, Resulting Numbers: [4, 81, 70] Generated Node #2: [4, 81, 70] from Operation: 2+68=70 Current State: 44:[4, 81, 70], Operations: ['2+68=70'] Exploring Operation: 81-70=11, Resulting Numbers: [4, 11] Generated Node #3: [4, 11] from Operation: 81-70=11 Current State: 44:[4, 11], Operations: ['2+68=70', '81-70=11'] Exploring Operation: 4*11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 2, 7, 78, 12 ]
68
[ "12-7=5", "2*5=10", "78-10=68" ]
Current State: 68:[2, 7, 78, 12], Operations: [] Exploring Operation: 12-7=5, Resulting Numbers: [2, 78, 5] Generated Node #2: [2, 78, 5] from Operation: 12-7=5 Current State: 68:[2, 78, 5], Operations: ['12-7=5'] Exploring Operation: 2*5=10, Resulting Numbers: [78, 10] Generated Node #3: [78, 10] from Operation: 2*5=10 Current State: 68:[78, 10], Operations: ['12-7=5', '2*5=10'] Exploring Operation: 78-10=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 94, 28, 94, 89 ]
89
[ "94-94=0", "28*0=0", "89+0=89" ]
Current State: 89:[94, 28, 94, 89], Operations: [] Exploring Operation: 94-94=0, Resulting Numbers: [28, 89, 0] Generated Node #2: [28, 89, 0] from Operation: 94-94=0 Current State: 89:[28, 89, 0], Operations: ['94-94=0'] Exploring Operation: 28*0=0, Resulting Numbers: [89, 0] Generated Node #3: [89, 0] from Operation: 28*0=0 Current State: 89:[89, 0], Operations: ['94-94=0', '28*0=0'] Exploring Operation: 89+0=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 79, 94, 92, 56 ]
33
[ "94-92=2", "56*2=112", "112-79=33" ]
Current State: 33:[79, 94, 92, 56], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [79, 56, 2] Generated Node #2: [79, 56, 2] from Operation: 94-92=2 Current State: 33:[79, 56, 2], Operations: ['94-92=2'] Exploring Operation: 56*2=112, Resulting Numbers: [79, 112] Generated Node #3: [79, 112] from Operation: 56*2=112 Current State: 33:[79, 112], Operations: ['94-92=2', '56*2=112'] Exploring Operation: 112-79=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 90, 63, 2, 49 ]
34
[ "63+49=112", "112/2=56", "90-56=34" ]
Current State: 34:[90, 63, 2, 49], Operations: [] Exploring Operation: 63+49=112, Resulting Numbers: [90, 2, 112] Generated Node #2: [90, 2, 112] from Operation: 63+49=112 Current State: 34:[90, 2, 112], Operations: ['63+49=112'] Exploring Operation: 112/2=56, Resulting Numbers: [90, 56] Generated Node #3: [90, 56] from Operation: 112/2=56 Current State: 34:[90, 56], Operations: ['63+49=112', '112/2=56'] Exploring Operation: 90-56=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 84, 70, 20, 80 ]
98
[ "84*70=5880", "80-20=60", "5880/60=98" ]
Current State: 98:[84, 70, 20, 80], Operations: [] Exploring Operation: 84*70=5880, Resulting Numbers: [20, 80, 5880] Generated Node #2: [20, 80, 5880] from Operation: 84*70=5880 Current State: 98:[20, 80, 5880], Operations: ['84*70=5880'] Exploring Operation: 80-20=60, Resulting Numbers: [5880, 60] Generated Node #3: [5880, 60] from Operation: 80-20=60 Current State: 98:[5880, 60], Operations: ['84*70=5880', '80-20=60'] Exploring Operation: 5880/60=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 27, 58, 16, 32 ]
37
[ "27+58=85", "16+32=48", "85-48=37" ]
Current State: 37:[27, 58, 16, 32], Operations: [] Exploring Operation: 27+58=85, Resulting Numbers: [16, 32, 85] Generated Node #2: [16, 32, 85] from Operation: 27+58=85 Current State: 37:[16, 32, 85], Operations: ['27+58=85'] Exploring Operation: 16+32=48, Resulting Numbers: [85, 48] Generated Node #3: [85, 48] from Operation: 16+32=48 Current State: 37:[85, 48], Operations: ['27+58=85', '16+32=48'] Exploring Operation: 85-48=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 42, 6, 93, 72 ]
57
[ "42-6=36", "93-72=21", "36+21=57" ]
Current State: 57:[42, 6, 93, 72], Operations: [] Exploring Operation: 42-6=36, Resulting Numbers: [93, 72, 36] Generated Node #2: [93, 72, 36] from Operation: 42-6=36 Current State: 57:[93, 72, 36], Operations: ['42-6=36'] Exploring Operation: 93-72=21, Resulting Numbers: [36, 21] Generated Node #3: [36, 21] from Operation: 93-72=21 Current State: 57:[36, 21], Operations: ['42-6=36', '93-72=21'] Exploring Operation: 36+21=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 85, 29, 33, 45 ]
36
[ "85+29=114", "33+45=78", "114-78=36" ]
Current State: 36:[85, 29, 33, 45], Operations: [] Exploring Operation: 85+29=114, Resulting Numbers: [33, 45, 114] Generated Node #2: [33, 45, 114] from Operation: 85+29=114 Current State: 36:[33, 45, 114], Operations: ['85+29=114'] Exploring Operation: 33+45=78, Resulting Numbers: [114, 78] Generated Node #3: [114, 78] from Operation: 33+45=78 Current State: 36:[114, 78], Operations: ['85+29=114', '33+45=78'] Exploring Operation: 114-78=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 69, 47, 86, 17 ]
81
[ "69-47=22", "86+17=103", "103-22=81" ]
Current State: 81:[69, 47, 86, 17], Operations: [] Exploring Operation: 69-47=22, Resulting Numbers: [86, 17, 22] Generated Node #2: [86, 17, 22] from Operation: 69-47=22 Current State: 81:[86, 17, 22], Operations: ['69-47=22'] Exploring Operation: 86+17=103, Resulting Numbers: [22, 103] Generated Node #3: [22, 103] from Operation: 86+17=103 Current State: 81:[22, 103], Operations: ['69-47=22', '86+17=103'] Exploring Operation: 103-22=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 83, 16, 58, 50 ]
59
[ "83-16=67", "58-50=8", "67-8=59" ]
Current State: 59:[83, 16, 58, 50], Operations: [] Exploring Operation: 83-16=67, Resulting Numbers: [58, 50, 67] Generated Node #2: [58, 50, 67] from Operation: 83-16=67 Current State: 59:[58, 50, 67], Operations: ['83-16=67'] Exploring Operation: 58-50=8, Resulting Numbers: [67, 8] Generated Node #3: [67, 8] from Operation: 58-50=8 Current State: 59:[67, 8], Operations: ['83-16=67', '58-50=8'] Exploring Operation: 67-8=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 95, 88, 47, 58 ]
87
[ "58-47=11", "88/11=8", "95-8=87" ]
Current State: 87:[95, 88, 47, 58], Operations: [] Exploring Operation: 58-47=11, Resulting Numbers: [95, 88, 11] Generated Node #2: [95, 88, 11] from Operation: 58-47=11 Current State: 87:[95, 88, 11], Operations: ['58-47=11'] Exploring Operation: 88/11=8, Resulting Numbers: [95, 8] Generated Node #3: [95, 8] from Operation: 88/11=8 Current State: 87:[95, 8], Operations: ['58-47=11', '88/11=8'] Exploring Operation: 95-8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 19, 9, 58, 26 ]
53
[ "19+26=45", "45/9=5", "58-5=53" ]
Current State: 53:[19, 9, 58, 26], Operations: [] Exploring Operation: 19+26=45, Resulting Numbers: [9, 58, 45] Generated Node #2: [9, 58, 45] from Operation: 19+26=45 Current State: 53:[9, 58, 45], Operations: ['19+26=45'] Exploring Operation: 45/9=5, Resulting Numbers: [58, 5] Generated Node #3: [58, 5] from Operation: 45/9=5 Current State: 53:[58, 5], Operations: ['19+26=45', '45/9=5'] Exploring Operation: 58-5=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 36, 20, 6 ]
96
[ "6-3=3", "20*3=60", "36+60=96" ]
Current State: 96:[3, 36, 20, 6], Operations: [] Exploring Operation: 6-3=3, Resulting Numbers: [36, 20, 3] Generated Node #2: [36, 20, 3] from Operation: 6-3=3 Current State: 96:[36, 20, 3], Operations: ['6-3=3'] Exploring Operation: 20*3=60, Resulting Numbers: [36, 60] Generated Node #3: [36, 60] from Operation: 20*3=60 Current State: 96:[36, 60], Operations: ['6-3=3', '20*3=60'] Exploring Operation: 36+60=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 42, 37, 26, 28 ]
16
[ "28-26=2", "42/2=21", "37-21=16" ]
Current State: 16:[42, 37, 26, 28], Operations: [] Exploring Operation: 28-26=2, Resulting Numbers: [42, 37, 2] Generated Node #2: [42, 37, 2] from Operation: 28-26=2 Current State: 16:[42, 37, 2], Operations: ['28-26=2'] Exploring Operation: 42/2=21, Resulting Numbers: [37, 21] Generated Node #3: [37, 21] from Operation: 42/2=21 Current State: 16:[37, 21], Operations: ['28-26=2', '42/2=21'] Exploring Operation: 37-21=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 8, 6, 90, 27 ]
21
[ "8*27=216", "216-90=126", "126/6=21" ]
Current State: 21:[8, 6, 90, 27], Operations: [] Exploring Operation: 8*27=216, Resulting Numbers: [6, 90, 216] Generated Node #2: [6, 90, 216] from Operation: 8*27=216 Current State: 21:[6, 90, 216], Operations: ['8*27=216'] Exploring Operation: 216-90=126, Resulting Numbers: [6, 126] Generated Node #3: [6, 126] from Operation: 216-90=126 Current State: 21:[6, 126], Operations: ['8*27=216', '216-90=126'] Exploring Operation: 126/6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 1, 64, 86, 15 ]
37
[ "1*64=64", "86+15=101", "101-64=37" ]
Current State: 37:[1, 64, 86, 15], Operations: [] Exploring Operation: 1*64=64, Resulting Numbers: [86, 15, 64] Generated Node #2: [86, 15, 64] from Operation: 1*64=64 Current State: 37:[86, 15, 64], Operations: ['1*64=64'] Exploring Operation: 86+15=101, Resulting Numbers: [64, 101] Generated Node #3: [64, 101] from Operation: 86+15=101 Current State: 37:[64, 101], Operations: ['1*64=64', '86+15=101'] Exploring Operation: 101-64=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 30, 90, 11, 4 ]
11
[ "90/30=3", "4-3=1", "11*1=11" ]
Current State: 11:[30, 90, 11, 4], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [11, 4, 3] Generated Node #2: [11, 4, 3] from Operation: 90/30=3 Current State: 11:[11, 4, 3], Operations: ['90/30=3'] Exploring Operation: 4-3=1, Resulting Numbers: [11, 1] Generated Node #3: [11, 1] from Operation: 4-3=1 Current State: 11:[11, 1], Operations: ['90/30=3', '4-3=1'] Exploring Operation: 11*1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 53, 92, 73, 89 ]
23
[ "92-53=39", "89-73=16", "39-16=23" ]
Current State: 23:[53, 92, 73, 89], Operations: [] Exploring Operation: 92-53=39, Resulting Numbers: [73, 89, 39] Generated Node #2: [73, 89, 39] from Operation: 92-53=39 Current State: 23:[73, 89, 39], Operations: ['92-53=39'] Exploring Operation: 89-73=16, Resulting Numbers: [39, 16] Generated Node #3: [39, 16] from Operation: 89-73=16 Current State: 23:[39, 16], Operations: ['92-53=39', '89-73=16'] Exploring Operation: 39-16=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 84, 71, 49, 19 ]
87
[ "84+71=155", "49+19=68", "155-68=87" ]
Current State: 87:[84, 71, 49, 19], Operations: [] Exploring Operation: 84+71=155, Resulting Numbers: [49, 19, 155] Generated Node #2: [49, 19, 155] from Operation: 84+71=155 Current State: 87:[49, 19, 155], Operations: ['84+71=155'] Exploring Operation: 49+19=68, Resulting Numbers: [155, 68] Generated Node #3: [155, 68] from Operation: 49+19=68 Current State: 87:[155, 68], Operations: ['84+71=155', '49+19=68'] Exploring Operation: 155-68=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 37, 15, 60, 15 ]
37
[ "15-15=0", "60*0=0", "37+0=37" ]
Current State: 37:[37, 15, 60, 15], Operations: [] Exploring Operation: 15-15=0, Resulting Numbers: [37, 60, 0] Generated Node #2: [37, 60, 0] from Operation: 15-15=0 Current State: 37:[37, 60, 0], Operations: ['15-15=0'] Exploring Operation: 60*0=0, Resulting Numbers: [37, 0] Generated Node #3: [37, 0] from Operation: 60*0=0 Current State: 37:[37, 0], Operations: ['15-15=0', '60*0=0'] Exploring Operation: 37+0=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 11, 43, 2, 51 ]
81
[ "43-11=32", "51-2=49", "32+49=81" ]
Current State: 81:[11, 43, 2, 51], Operations: [] Exploring Operation: 43-11=32, Resulting Numbers: [2, 51, 32] Generated Node #2: [2, 51, 32] from Operation: 43-11=32 Current State: 81:[2, 51, 32], Operations: ['43-11=32'] Exploring Operation: 51-2=49, Resulting Numbers: [32, 49] Generated Node #3: [32, 49] from Operation: 51-2=49 Current State: 81:[32, 49], Operations: ['43-11=32', '51-2=49'] Exploring Operation: 32+49=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 17, 17, 26, 68 ]
39
[ "17+26=43", "68/17=4", "43-4=39" ]
Current State: 39:[17, 17, 26, 68], Operations: [] Exploring Operation: 17+26=43, Resulting Numbers: [68, 43] Generated Node #2: [68, 43] from Operation: 17+26=43 Current State: 39:[68, 43], Operations: ['17+26=43'] Exploring Operation: 68/17=4, Resulting Numbers: [43, 4] Generated Node #3: [43, 4] from Operation: 68/17=4 Current State: 39:[43, 4], Operations: ['17+26=43', '68/17=4'] Exploring Operation: 43-4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 50, 15, 47, 11 ]
93
[ "50-15=35", "47+11=58", "35+58=93" ]
Current State: 93:[50, 15, 47, 11], Operations: [] Exploring Operation: 50-15=35, Resulting Numbers: [47, 11, 35] Generated Node #2: [47, 11, 35] from Operation: 50-15=35 Current State: 93:[47, 11, 35], Operations: ['50-15=35'] Exploring Operation: 47+11=58, Resulting Numbers: [35, 58] Generated Node #3: [35, 58] from Operation: 47+11=58 Current State: 93:[35, 58], Operations: ['50-15=35', '47+11=58'] Exploring Operation: 35+58=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 55, 15, 17, 29 ]
82
[ "55+15=70", "29-17=12", "70+12=82" ]
Current State: 82:[55, 15, 17, 29], Operations: [] Exploring Operation: 55+15=70, Resulting Numbers: [17, 29, 70] Generated Node #2: [17, 29, 70] from Operation: 55+15=70 Current State: 82:[17, 29, 70], Operations: ['55+15=70'] Exploring Operation: 29-17=12, Resulting Numbers: [70, 12] Generated Node #3: [70, 12] from Operation: 29-17=12 Current State: 82:[70, 12], Operations: ['55+15=70', '29-17=12'] Exploring Operation: 70+12=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 4, 32, 3, 90 ]
10
[ "90-4=86", "32*3=96", "96-86=10" ]
Current State: 10:[4, 32, 3, 90], Operations: [] Exploring Operation: 90-4=86, Resulting Numbers: [32, 3, 86] Generated Node #2: [32, 3, 86] from Operation: 90-4=86 Current State: 10:[32, 3, 86], Operations: ['90-4=86'] Exploring Operation: 32*3=96, Resulting Numbers: [86, 96] Generated Node #3: [86, 96] from Operation: 32*3=96 Current State: 10:[86, 96], Operations: ['90-4=86', '32*3=96'] Exploring Operation: 96-86=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 99, 82, 65, 6 ]
41
[ "99+82=181", "65+181=246", "246/6=41" ]
Current State: 41:[99, 82, 65, 6], Operations: [] Exploring Operation: 99+82=181, Resulting Numbers: [65, 6, 181] Generated Node #2: [65, 6, 181] from Operation: 99+82=181 Current State: 41:[65, 6, 181], Operations: ['99+82=181'] Exploring Operation: 65+181=246, Resulting Numbers: [6, 246] Generated Node #3: [6, 246] from Operation: 65+181=246 Current State: 41:[6, 246], Operations: ['99+82=181', '65+181=246'] Exploring Operation: 246/6=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 73, 83, 94, 42 ]
42
[ "83-73=10", "94-42=52", "52-10=42" ]
Current State: 42:[73, 83, 94, 42], Operations: [] Exploring Operation: 83-73=10, Resulting Numbers: [94, 42, 10] Generated Node #2: [94, 42, 10] from Operation: 83-73=10 Current State: 42:[94, 42, 10], Operations: ['83-73=10'] Exploring Operation: 94-42=52, Resulting Numbers: [10, 52] Generated Node #3: [10, 52] from Operation: 94-42=52 Current State: 42:[10, 52], Operations: ['83-73=10', '94-42=52'] Exploring Operation: 52-10=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 92, 34, 76, 87 ]
37
[ "92+34=126", "76+87=163", "163-126=37" ]
Current State: 37:[92, 34, 76, 87], Operations: [] Exploring Operation: 92+34=126, Resulting Numbers: [76, 87, 126] Generated Node #2: [76, 87, 126] from Operation: 92+34=126 Current State: 37:[76, 87, 126], Operations: ['92+34=126'] Exploring Operation: 76+87=163, Resulting Numbers: [126, 163] Generated Node #3: [126, 163] from Operation: 76+87=163 Current State: 37:[126, 163], Operations: ['92+34=126', '76+87=163'] Exploring Operation: 163-126=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 82, 51, 2, 41 ]
74
[ "82-51=31", "2+41=43", "31+43=74" ]
Current State: 74:[82, 51, 2, 41], Operations: [] Exploring Operation: 82-51=31, Resulting Numbers: [2, 41, 31] Generated Node #2: [2, 41, 31] from Operation: 82-51=31 Current State: 74:[2, 41, 31], Operations: ['82-51=31'] Exploring Operation: 2+41=43, Resulting Numbers: [31, 43] Generated Node #3: [31, 43] from Operation: 2+41=43 Current State: 74:[31, 43], Operations: ['82-51=31', '2+41=43'] Exploring Operation: 31+43=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 41, 16, 23, 45 ]
76
[ "45-41=4", "23*4=92", "92-16=76" ]
Current State: 76:[41, 16, 23, 45], Operations: [] Exploring Operation: 45-41=4, Resulting Numbers: [16, 23, 4] Generated Node #2: [16, 23, 4] from Operation: 45-41=4 Current State: 76:[16, 23, 4], Operations: ['45-41=4'] Exploring Operation: 23*4=92, Resulting Numbers: [16, 92] Generated Node #3: [16, 92] from Operation: 23*4=92 Current State: 76:[16, 92], Operations: ['45-41=4', '23*4=92'] Exploring Operation: 92-16=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 35, 72, 36, 23 ]
94
[ "35+72=107", "36-23=13", "107-13=94" ]
Current State: 94:[35, 72, 36, 23], Operations: [] Exploring Operation: 35+72=107, Resulting Numbers: [36, 23, 107] Generated Node #2: [36, 23, 107] from Operation: 35+72=107 Current State: 94:[36, 23, 107], Operations: ['35+72=107'] Exploring Operation: 36-23=13, Resulting Numbers: [107, 13] Generated Node #3: [107, 13] from Operation: 36-23=13 Current State: 94:[107, 13], Operations: ['35+72=107', '36-23=13'] Exploring Operation: 107-13=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 68, 66, 88, 91 ]
94
[ "68-66=2", "91*2=182", "182-88=94" ]
Current State: 94:[68, 66, 88, 91], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [88, 91, 2] Generated Node #2: [88, 91, 2] from Operation: 68-66=2 Current State: 94:[88, 91, 2], Operations: ['68-66=2'] Exploring Operation: 91*2=182, Resulting Numbers: [88, 182] Generated Node #3: [88, 182] from Operation: 91*2=182 Current State: 94:[88, 182], Operations: ['68-66=2', '91*2=182'] Exploring Operation: 182-88=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 62, 26, 33, 15 ]
18
[ "62-26=36", "33-15=18", "36-18=18" ]
Current State: 18:[62, 26, 33, 15], Operations: [] Exploring Operation: 62-26=36, Resulting Numbers: [33, 15, 36] Generated Node #2: [33, 15, 36] from Operation: 62-26=36 Current State: 18:[33, 15, 36], Operations: ['62-26=36'] Exploring Operation: 33-15=18, Resulting Numbers: [36, 18] Generated Node #3: [36, 18] from Operation: 33-15=18 Current State: 18:[36, 18], Operations: ['62-26=36', '33-15=18'] Exploring Operation: 36-18=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 33, 18, 24, 96 ]
94
[ "33-24=9", "18/9=2", "96-2=94" ]
Current State: 94:[33, 18, 24, 96], Operations: [] Exploring Operation: 33-24=9, Resulting Numbers: [18, 96, 9] Generated Node #2: [18, 96, 9] from Operation: 33-24=9 Current State: 94:[18, 96, 9], Operations: ['33-24=9'] Exploring Operation: 18/9=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 18/9=2 Current State: 94:[96, 2], Operations: ['33-24=9', '18/9=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 76, 63, 55, 79 ]
24
[ "79-76=3", "63-55=8", "3*8=24" ]
Current State: 24:[76, 63, 55, 79], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [63, 55, 3] Generated Node #2: [63, 55, 3] from Operation: 79-76=3 Current State: 24:[63, 55, 3], Operations: ['79-76=3'] Exploring Operation: 63-55=8, Resulting Numbers: [3, 8] Generated Node #3: [3, 8] from Operation: 63-55=8 Current State: 24:[3, 8], Operations: ['79-76=3', '63-55=8'] Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 16, 7, 4, 61 ]
56
[ "16-7=9", "4+61=65", "65-9=56" ]
Current State: 56:[16, 7, 4, 61], Operations: [] Exploring Operation: 16-7=9, Resulting Numbers: [4, 61, 9] Generated Node #2: [4, 61, 9] from Operation: 16-7=9 Current State: 56:[4, 61, 9], Operations: ['16-7=9'] Exploring Operation: 4+61=65, Resulting Numbers: [9, 65] Generated Node #3: [9, 65] from Operation: 4+61=65 Current State: 56:[9, 65], Operations: ['16-7=9', '4+61=65'] Exploring Operation: 65-9=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 56, 1, 80, 61 ]
20
[ "56+1=57", "61-57=4", "80/4=20" ]
Current State: 20:[56, 1, 80, 61], Operations: [] Exploring Operation: 56+1=57, Resulting Numbers: [80, 61, 57] Generated Node #2: [80, 61, 57] from Operation: 56+1=57 Current State: 20:[80, 61, 57], Operations: ['56+1=57'] Exploring Operation: 61-57=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 61-57=4 Current State: 20:[80, 4], Operations: ['56+1=57', '61-57=4'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 72, 11, 10, 48 ]
10
[ "72-10=62", "48+62=110", "110/11=10" ]
Current State: 10:[72, 11, 10, 48], Operations: [] Exploring Operation: 72-10=62, Resulting Numbers: [11, 48, 62] Generated Node #2: [11, 48, 62] from Operation: 72-10=62 Current State: 10:[11, 48, 62], Operations: ['72-10=62'] Exploring Operation: 48+62=110, Resulting Numbers: [11, 110] Generated Node #3: [11, 110] from Operation: 48+62=110 Current State: 10:[11, 110], Operations: ['72-10=62', '48+62=110'] Exploring Operation: 110/11=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 47, 53, 14, 32 ]
53
[ "47-14=33", "33-32=1", "53*1=53" ]
Current State: 53:[47, 53, 14, 32], Operations: [] Exploring Operation: 47-14=33, Resulting Numbers: [53, 32, 33] Generated Node #2: [53, 32, 33] from Operation: 47-14=33 Current State: 53:[53, 32, 33], Operations: ['47-14=33'] Exploring Operation: 33-32=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 33-32=1 Current State: 53:[53, 1], Operations: ['47-14=33', '33-32=1'] Exploring Operation: 53*1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 47, 53, 1, 10 ]
59
[ "53-47=6", "10*6=60", "60-1=59" ]
Current State: 59:[47, 53, 1, 10], Operations: [] Exploring Operation: 53-47=6, Resulting Numbers: [1, 10, 6] Generated Node #2: [1, 10, 6] from Operation: 53-47=6 Current State: 59:[1, 10, 6], Operations: ['53-47=6'] Exploring Operation: 10*6=60, Resulting Numbers: [1, 60] Generated Node #3: [1, 60] from Operation: 10*6=60 Current State: 59:[1, 60], Operations: ['53-47=6', '10*6=60'] Exploring Operation: 60-1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 61, 8, 5, 35 ]
17
[ "61+35=96", "96/8=12", "5+12=17" ]
Current State: 17:[61, 8, 5, 35], Operations: [] Exploring Operation: 61+35=96, Resulting Numbers: [8, 5, 96] Generated Node #2: [8, 5, 96] from Operation: 61+35=96 Current State: 17:[8, 5, 96], Operations: ['61+35=96'] Exploring Operation: 96/8=12, Resulting Numbers: [5, 12] Generated Node #3: [5, 12] from Operation: 96/8=12 Current State: 17:[5, 12], Operations: ['61+35=96', '96/8=12'] Exploring Operation: 5+12=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4