Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 9, 68, 36, 15 ]
80
[ "68-9=59", "36-15=21", "59+21=80" ]
Current State: 80:[9, 68, 36, 15], Operations: [] Exploring Operation: 68-9=59, Resulting Numbers: [36, 15, 59] Generated Node #2: [36, 15, 59] from Operation: 68-9=59 Current State: 80:[36, 15, 59], Operations: ['68-9=59'] Exploring Operation: 36-15=21, Resulting Numbers: [59, 21] Generated Node #3: [59, 21] from Operation: 36-15=21 Current State: 80:[59, 21], Operations: ['68-9=59', '36-15=21'] Exploring Operation: 59+21=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 75, 84, 41, 67 ]
17
[ "84-75=9", "67-41=26", "26-9=17" ]
Current State: 17:[75, 84, 41, 67], Operations: [] Exploring Operation: 84-75=9, Resulting Numbers: [41, 67, 9] Generated Node #2: [41, 67, 9] from Operation: 84-75=9 Current State: 17:[41, 67, 9], Operations: ['84-75=9'] Exploring Operation: 67-41=26, Resulting Numbers: [9, 26] Generated Node #3: [9, 26] from Operation: 67-41=26 Current State: 17:[9, 26], Operations: ['84-75=9', '67-41=26'] Exploring Operation: 26-9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 20, 20, 90, 39 ]
91
[ "20+20=40", "90-39=51", "40+51=91" ]
Current State: 91:[20, 20, 90, 39], Operations: [] Exploring Operation: 20+20=40, Resulting Numbers: [90, 39, 40] Generated Node #2: [90, 39, 40] from Operation: 20+20=40 Current State: 91:[90, 39, 40], Operations: ['20+20=40'] Exploring Operation: 90-39=51, Resulting Numbers: [40, 51] Generated Node #3: [40, 51] from Operation: 90-39=51 Current State: 91:[40, 51], Operations: ['20+20=40', '90-39=51'] Exploring Operation: 40+51=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 53, 14, 18, 7 ]
64
[ "53-14=39", "18+7=25", "39+25=64" ]
Current State: 64:[53, 14, 18, 7], Operations: [] Exploring Operation: 53-14=39, Resulting Numbers: [18, 7, 39] Generated Node #2: [18, 7, 39] from Operation: 53-14=39 Current State: 64:[18, 7, 39], Operations: ['53-14=39'] Exploring Operation: 18+7=25, Resulting Numbers: [39, 25] Generated Node #3: [39, 25] from Operation: 18+7=25 Current State: 64:[39, 25], Operations: ['53-14=39', '18+7=25'] Exploring Operation: 39+25=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 72, 30, 16, 60 ]
80
[ "30*16=480", "480/60=8", "72+8=80" ]
Current State: 80:[72, 30, 16, 60], Operations: [] Exploring Operation: 30*16=480, Resulting Numbers: [72, 60, 480] Generated Node #2: [72, 60, 480] from Operation: 30*16=480 Current State: 80:[72, 60, 480], Operations: ['30*16=480'] Exploring Operation: 480/60=8, Resulting Numbers: [72, 8] Generated Node #3: [72, 8] from Operation: 480/60=8 Current State: 80:[72, 8], Operations: ['30*16=480', '480/60=8'] Exploring Operation: 72+8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 53, 83, 10, 82 ]
62
[ "83-53=30", "10+82=92", "92-30=62" ]
Current State: 62:[53, 83, 10, 82], Operations: [] Exploring Operation: 83-53=30, Resulting Numbers: [10, 82, 30] Generated Node #2: [10, 82, 30] from Operation: 83-53=30 Current State: 62:[10, 82, 30], Operations: ['83-53=30'] Exploring Operation: 10+82=92, Resulting Numbers: [30, 92] Generated Node #3: [30, 92] from Operation: 10+82=92 Current State: 62:[30, 92], Operations: ['83-53=30', '10+82=92'] Exploring Operation: 92-30=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 31, 41, 54, 91 ]
53
[ "31*91=2821", "41+2821=2862", "2862/54=53" ]
Current State: 53:[31, 41, 54, 91], Operations: [] Exploring Operation: 31*91=2821, Resulting Numbers: [41, 54, 2821] Generated Node #2: [41, 54, 2821] from Operation: 31*91=2821 Current State: 53:[41, 54, 2821], Operations: ['31*91=2821'] Exploring Operation: 41+2821=2862, Resulting Numbers: [54, 2862] Generated Node #3: [54, 2862] from Operation: 41+2821=2862 Current State: 53:[54, 2862], Operations: ['31*91=2821', '41+2821=2862'] Exploring Operation: 2862/54=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 94, 57, 2, 52 ]
30
[ "94-57=37", "52-37=15", "2*15=30" ]
Current State: 30:[94, 57, 2, 52], Operations: [] Exploring Operation: 94-57=37, Resulting Numbers: [2, 52, 37] Generated Node #2: [2, 52, 37] from Operation: 94-57=37 Current State: 30:[2, 52, 37], Operations: ['94-57=37'] Exploring Operation: 52-37=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 52-37=15 Current State: 30:[2, 15], Operations: ['94-57=37', '52-37=15'] Exploring Operation: 2*15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 94, 78, 37, 66 ]
45
[ "94-78=16", "66-37=29", "16+29=45" ]
Current State: 45:[94, 78, 37, 66], Operations: [] Exploring Operation: 94-78=16, Resulting Numbers: [37, 66, 16] Generated Node #2: [37, 66, 16] from Operation: 94-78=16 Current State: 45:[37, 66, 16], Operations: ['94-78=16'] Exploring Operation: 66-37=29, Resulting Numbers: [16, 29] Generated Node #3: [16, 29] from Operation: 66-37=29 Current State: 45:[16, 29], Operations: ['94-78=16', '66-37=29'] Exploring Operation: 16+29=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 55, 12, 46, 71 ]
74
[ "55-12=43", "46+71=117", "117-43=74" ]
Current State: 74:[55, 12, 46, 71], Operations: [] Exploring Operation: 55-12=43, Resulting Numbers: [46, 71, 43] Generated Node #2: [46, 71, 43] from Operation: 55-12=43 Current State: 74:[46, 71, 43], Operations: ['55-12=43'] Exploring Operation: 46+71=117, Resulting Numbers: [43, 117] Generated Node #3: [43, 117] from Operation: 46+71=117 Current State: 74:[43, 117], Operations: ['55-12=43', '46+71=117'] Exploring Operation: 117-43=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 22, 57, 20, 97 ]
38
[ "22+57=79", "20+97=117", "117-79=38" ]
Current State: 38:[22, 57, 20, 97], Operations: [] Exploring Operation: 22+57=79, Resulting Numbers: [20, 97, 79] Generated Node #2: [20, 97, 79] from Operation: 22+57=79 Current State: 38:[20, 97, 79], Operations: ['22+57=79'] Exploring Operation: 20+97=117, Resulting Numbers: [79, 117] Generated Node #3: [79, 117] from Operation: 20+97=117 Current State: 38:[79, 117], Operations: ['22+57=79', '20+97=117'] Exploring Operation: 117-79=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 65, 41, 5, 35 ]
82
[ "65+5=70", "41*70=2870", "2870/35=82" ]
Current State: 82:[65, 41, 5, 35], Operations: [] Exploring Operation: 65+5=70, Resulting Numbers: [41, 35, 70] Generated Node #2: [41, 35, 70] from Operation: 65+5=70 Current State: 82:[41, 35, 70], Operations: ['65+5=70'] Exploring Operation: 41*70=2870, Resulting Numbers: [35, 2870] Generated Node #3: [35, 2870] from Operation: 41*70=2870 Current State: 82:[35, 2870], Operations: ['65+5=70', '41*70=2870'] Exploring Operation: 2870/35=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 36, 24, 7, 24 ]
19
[ "36-24=12", "7+24=31", "31-12=19" ]
Current State: 19:[36, 24, 7, 24], Operations: [] Exploring Operation: 36-24=12, Resulting Numbers: [7, 12] Generated Node #2: [7, 12] from Operation: 36-24=12 Current State: 19:[7, 12], Operations: ['36-24=12'] Exploring Operation: 7+24=31, Resulting Numbers: [12, 31] Generated Node #3: [12, 31] from Operation: 7+24=31 Current State: 19:[12, 31], Operations: ['36-24=12', '7+24=31'] Exploring Operation: 31-12=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 32, 42, 65, 63 ]
11
[ "65-63=2", "42/2=21", "32-21=11" ]
Current State: 11:[32, 42, 65, 63], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [32, 42, 2] Generated Node #2: [32, 42, 2] from Operation: 65-63=2 Current State: 11:[32, 42, 2], Operations: ['65-63=2'] Exploring Operation: 42/2=21, Resulting Numbers: [32, 21] Generated Node #3: [32, 21] from Operation: 42/2=21 Current State: 11:[32, 21], Operations: ['65-63=2', '42/2=21'] Exploring Operation: 32-21=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 19, 40, 37, 79 ]
95
[ "40-19=21", "37+79=116", "116-21=95" ]
Current State: 95:[19, 40, 37, 79], Operations: [] Exploring Operation: 40-19=21, Resulting Numbers: [37, 79, 21] Generated Node #2: [37, 79, 21] from Operation: 40-19=21 Current State: 95:[37, 79, 21], Operations: ['40-19=21'] Exploring Operation: 37+79=116, Resulting Numbers: [21, 116] Generated Node #3: [21, 116] from Operation: 37+79=116 Current State: 95:[21, 116], Operations: ['40-19=21', '37+79=116'] Exploring Operation: 116-21=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 36, 56, 74, 23 ]
41
[ "36+56=92", "74-23=51", "92-51=41" ]
Current State: 41:[36, 56, 74, 23], Operations: [] Exploring Operation: 36+56=92, Resulting Numbers: [74, 23, 92] Generated Node #2: [74, 23, 92] from Operation: 36+56=92 Current State: 41:[74, 23, 92], Operations: ['36+56=92'] Exploring Operation: 74-23=51, Resulting Numbers: [92, 51] Generated Node #3: [92, 51] from Operation: 74-23=51 Current State: 41:[92, 51], Operations: ['36+56=92', '74-23=51'] Exploring Operation: 92-51=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 23, 56, 60, 30 ]
68
[ "30-23=7", "56/7=8", "60+8=68" ]
Current State: 68:[23, 56, 60, 30], Operations: [] Exploring Operation: 30-23=7, Resulting Numbers: [56, 60, 7] Generated Node #2: [56, 60, 7] from Operation: 30-23=7 Current State: 68:[56, 60, 7], Operations: ['30-23=7'] Exploring Operation: 56/7=8, Resulting Numbers: [60, 8] Generated Node #3: [60, 8] from Operation: 56/7=8 Current State: 68:[60, 8], Operations: ['30-23=7', '56/7=8'] Exploring Operation: 60+8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 96, 55, 20, 71 ]
11
[ "96-20=76", "76-71=5", "55/5=11" ]
Current State: 11:[96, 55, 20, 71], Operations: [] Exploring Operation: 96-20=76, Resulting Numbers: [55, 71, 76] Generated Node #2: [55, 71, 76] from Operation: 96-20=76 Current State: 11:[55, 71, 76], Operations: ['96-20=76'] Exploring Operation: 76-71=5, Resulting Numbers: [55, 5] Generated Node #3: [55, 5] from Operation: 76-71=5 Current State: 11:[55, 5], Operations: ['96-20=76', '76-71=5'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 44, 47, 67, 88 ]
57
[ "88/44=2", "47+67=114", "114/2=57" ]
Current State: 57:[44, 47, 67, 88], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [47, 67, 2] Generated Node #2: [47, 67, 2] from Operation: 88/44=2 Current State: 57:[47, 67, 2], Operations: ['88/44=2'] Exploring Operation: 47+67=114, Resulting Numbers: [2, 114] Generated Node #3: [2, 114] from Operation: 47+67=114 Current State: 57:[2, 114], Operations: ['88/44=2', '47+67=114'] Exploring Operation: 114/2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 32, 68, 93, 16 ]
50
[ "32/16=2", "93-68=25", "2*25=50" ]
Current State: 50:[32, 68, 93, 16], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [68, 93, 2] Generated Node #2: [68, 93, 2] from Operation: 32/16=2 Current State: 50:[68, 93, 2], Operations: ['32/16=2'] Exploring Operation: 93-68=25, Resulting Numbers: [2, 25] Generated Node #3: [2, 25] from Operation: 93-68=25 Current State: 50:[2, 25], Operations: ['32/16=2', '93-68=25'] Exploring Operation: 2*25=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 52, 72, 8, 81 ]
35
[ "52+72=124", "8+81=89", "124-89=35" ]
Current State: 35:[52, 72, 8, 81], Operations: [] Exploring Operation: 52+72=124, Resulting Numbers: [8, 81, 124] Generated Node #2: [8, 81, 124] from Operation: 52+72=124 Current State: 35:[8, 81, 124], Operations: ['52+72=124'] Exploring Operation: 8+81=89, Resulting Numbers: [124, 89] Generated Node #3: [124, 89] from Operation: 8+81=89 Current State: 35:[124, 89], Operations: ['52+72=124', '8+81=89'] Exploring Operation: 124-89=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 14, 96, 13, 48 ]
25
[ "14+13=27", "96/48=2", "27-2=25" ]
Current State: 25:[14, 96, 13, 48], Operations: [] Exploring Operation: 14+13=27, Resulting Numbers: [96, 48, 27] Generated Node #2: [96, 48, 27] from Operation: 14+13=27 Current State: 25:[96, 48, 27], Operations: ['14+13=27'] Exploring Operation: 96/48=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 96/48=2 Current State: 25:[27, 2], Operations: ['14+13=27', '96/48=2'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 87, 78, 3, 34 ]
83
[ "87/3=29", "78+34=112", "112-29=83" ]
Current State: 83:[87, 78, 3, 34], Operations: [] Exploring Operation: 87/3=29, Resulting Numbers: [78, 34, 29] Generated Node #2: [78, 34, 29] from Operation: 87/3=29 Current State: 83:[78, 34, 29], Operations: ['87/3=29'] Exploring Operation: 78+34=112, Resulting Numbers: [29, 112] Generated Node #3: [29, 112] from Operation: 78+34=112 Current State: 83:[29, 112], Operations: ['87/3=29', '78+34=112'] Exploring Operation: 112-29=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 21, 18, 26, 13 ]
12
[ "18*13=234", "234/26=9", "21-9=12" ]
Current State: 12:[21, 18, 26, 13], Operations: [] Exploring Operation: 18*13=234, Resulting Numbers: [21, 26, 234] Generated Node #2: [21, 26, 234] from Operation: 18*13=234 Current State: 12:[21, 26, 234], Operations: ['18*13=234'] Exploring Operation: 234/26=9, Resulting Numbers: [21, 9] Generated Node #3: [21, 9] from Operation: 234/26=9 Current State: 12:[21, 9], Operations: ['18*13=234', '234/26=9'] Exploring Operation: 21-9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 98, 13, 66, 14 ]
25
[ "98*13=1274", "1274/14=91", "91-66=25" ]
Current State: 25:[98, 13, 66, 14], Operations: [] Exploring Operation: 98*13=1274, Resulting Numbers: [66, 14, 1274] Generated Node #2: [66, 14, 1274] from Operation: 98*13=1274 Current State: 25:[66, 14, 1274], Operations: ['98*13=1274'] Exploring Operation: 1274/14=91, Resulting Numbers: [66, 91] Generated Node #3: [66, 91] from Operation: 1274/14=91 Current State: 25:[66, 91], Operations: ['98*13=1274', '1274/14=91'] Exploring Operation: 91-66=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 26, 2, 38, 87 ]
72
[ "87-38=49", "2*49=98", "98-26=72" ]
Current State: 72:[26, 2, 38, 87], Operations: [] Exploring Operation: 87-38=49, Resulting Numbers: [26, 2, 49] Generated Node #2: [26, 2, 49] from Operation: 87-38=49 Current State: 72:[26, 2, 49], Operations: ['87-38=49'] Exploring Operation: 2*49=98, Resulting Numbers: [26, 98] Generated Node #3: [26, 98] from Operation: 2*49=98 Current State: 72:[26, 98], Operations: ['87-38=49', '2*49=98'] Exploring Operation: 98-26=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 79, 98, 22, 90 ]
96
[ "90-79=11", "22/11=2", "98-2=96" ]
Current State: 96:[79, 98, 22, 90], Operations: [] Exploring Operation: 90-79=11, Resulting Numbers: [98, 22, 11] Generated Node #2: [98, 22, 11] from Operation: 90-79=11 Current State: 96:[98, 22, 11], Operations: ['90-79=11'] Exploring Operation: 22/11=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 22/11=2 Current State: 96:[98, 2], Operations: ['90-79=11', '22/11=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 33, 4, 18, 90 ]
53
[ "4*90=360", "360/18=20", "33+20=53" ]
Current State: 53:[33, 4, 18, 90], Operations: [] Exploring Operation: 4*90=360, Resulting Numbers: [33, 18, 360] Generated Node #2: [33, 18, 360] from Operation: 4*90=360 Current State: 53:[33, 18, 360], Operations: ['4*90=360'] Exploring Operation: 360/18=20, Resulting Numbers: [33, 20] Generated Node #3: [33, 20] from Operation: 360/18=20 Current State: 53:[33, 20], Operations: ['4*90=360', '360/18=20'] Exploring Operation: 33+20=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 4, 31, 74, 70 ]
76
[ "4+31=35", "70/35=2", "74+2=76" ]
Current State: 76:[4, 31, 74, 70], Operations: [] Exploring Operation: 4+31=35, Resulting Numbers: [74, 70, 35] Generated Node #2: [74, 70, 35] from Operation: 4+31=35 Current State: 76:[74, 70, 35], Operations: ['4+31=35'] Exploring Operation: 70/35=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 70/35=2 Current State: 76:[74, 2], Operations: ['4+31=35', '70/35=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 30, 19, 4, 20 ]
13
[ "30-19=11", "4+20=24", "24-11=13" ]
Current State: 13:[30, 19, 4, 20], Operations: [] Exploring Operation: 30-19=11, Resulting Numbers: [4, 20, 11] Generated Node #2: [4, 20, 11] from Operation: 30-19=11 Current State: 13:[4, 20, 11], Operations: ['30-19=11'] Exploring Operation: 4+20=24, Resulting Numbers: [11, 24] Generated Node #3: [11, 24] from Operation: 4+20=24 Current State: 13:[11, 24], Operations: ['30-19=11', '4+20=24'] Exploring Operation: 24-11=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 27, 70, 41, 25 ]
23
[ "70-27=43", "41+25=66", "66-43=23" ]
Current State: 23:[27, 70, 41, 25], Operations: [] Exploring Operation: 70-27=43, Resulting Numbers: [41, 25, 43] Generated Node #2: [41, 25, 43] from Operation: 70-27=43 Current State: 23:[41, 25, 43], Operations: ['70-27=43'] Exploring Operation: 41+25=66, Resulting Numbers: [43, 66] Generated Node #3: [43, 66] from Operation: 41+25=66 Current State: 23:[43, 66], Operations: ['70-27=43', '41+25=66'] Exploring Operation: 66-43=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 3, 16, 48, 59 ]
24
[ "16-3=13", "59-48=11", "13+11=24" ]
Current State: 24:[3, 16, 48, 59], Operations: [] Exploring Operation: 16-3=13, Resulting Numbers: [48, 59, 13] Generated Node #2: [48, 59, 13] from Operation: 16-3=13 Current State: 24:[48, 59, 13], Operations: ['16-3=13'] Exploring Operation: 59-48=11, Resulting Numbers: [13, 11] Generated Node #3: [13, 11] from Operation: 59-48=11 Current State: 24:[13, 11], Operations: ['16-3=13', '59-48=11'] Exploring Operation: 13+11=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 3, 11, 5, 15 ]
29
[ "3*15=45", "11+5=16", "45-16=29" ]
Current State: 29:[3, 11, 5, 15], Operations: [] Exploring Operation: 3*15=45, Resulting Numbers: [11, 5, 45] Generated Node #2: [11, 5, 45] from Operation: 3*15=45 Current State: 29:[11, 5, 45], Operations: ['3*15=45'] Exploring Operation: 11+5=16, Resulting Numbers: [45, 16] Generated Node #3: [45, 16] from Operation: 11+5=16 Current State: 29:[45, 16], Operations: ['3*15=45', '11+5=16'] Exploring Operation: 45-16=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 46, 15, 79, 45 ]
65
[ "46-15=31", "79-45=34", "31+34=65" ]
Current State: 65:[46, 15, 79, 45], Operations: [] Exploring Operation: 46-15=31, Resulting Numbers: [79, 45, 31] Generated Node #2: [79, 45, 31] from Operation: 46-15=31 Current State: 65:[79, 45, 31], Operations: ['46-15=31'] Exploring Operation: 79-45=34, Resulting Numbers: [31, 34] Generated Node #3: [31, 34] from Operation: 79-45=34 Current State: 65:[31, 34], Operations: ['46-15=31', '79-45=34'] Exploring Operation: 31+34=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 43, 5, 99, 34 ]
27
[ "43-5=38", "99-34=65", "65-38=27" ]
Current State: 27:[43, 5, 99, 34], Operations: [] Exploring Operation: 43-5=38, Resulting Numbers: [99, 34, 38] Generated Node #2: [99, 34, 38] from Operation: 43-5=38 Current State: 27:[99, 34, 38], Operations: ['43-5=38'] Exploring Operation: 99-34=65, Resulting Numbers: [38, 65] Generated Node #3: [38, 65] from Operation: 99-34=65 Current State: 27:[38, 65], Operations: ['43-5=38', '99-34=65'] Exploring Operation: 65-38=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 38, 10, 22, 32 ]
82
[ "38-10=28", "22+32=54", "28+54=82" ]
Current State: 82:[38, 10, 22, 32], Operations: [] Exploring Operation: 38-10=28, Resulting Numbers: [22, 32, 28] Generated Node #2: [22, 32, 28] from Operation: 38-10=28 Current State: 82:[22, 32, 28], Operations: ['38-10=28'] Exploring Operation: 22+32=54, Resulting Numbers: [28, 54] Generated Node #3: [28, 54] from Operation: 22+32=54 Current State: 82:[28, 54], Operations: ['38-10=28', '22+32=54'] Exploring Operation: 28+54=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 42, 57, 5, 54 ]
44
[ "57-42=15", "5+54=59", "59-15=44" ]
Current State: 44:[42, 57, 5, 54], Operations: [] Exploring Operation: 57-42=15, Resulting Numbers: [5, 54, 15] Generated Node #2: [5, 54, 15] from Operation: 57-42=15 Current State: 44:[5, 54, 15], Operations: ['57-42=15'] Exploring Operation: 5+54=59, Resulting Numbers: [15, 59] Generated Node #3: [15, 59] from Operation: 5+54=59 Current State: 44:[15, 59], Operations: ['57-42=15', '5+54=59'] Exploring Operation: 59-15=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 1, 20, 79, 55 ]
45
[ "1+20=21", "79-55=24", "21+24=45" ]
Current State: 45:[1, 20, 79, 55], Operations: [] Exploring Operation: 1+20=21, Resulting Numbers: [79, 55, 21] Generated Node #2: [79, 55, 21] from Operation: 1+20=21 Current State: 45:[79, 55, 21], Operations: ['1+20=21'] Exploring Operation: 79-55=24, Resulting Numbers: [21, 24] Generated Node #3: [21, 24] from Operation: 79-55=24 Current State: 45:[21, 24], Operations: ['1+20=21', '79-55=24'] Exploring Operation: 21+24=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 63, 99, 98, 79 ]
17
[ "99-63=36", "98-79=19", "36-19=17" ]
Current State: 17:[63, 99, 98, 79], Operations: [] Exploring Operation: 99-63=36, Resulting Numbers: [98, 79, 36] Generated Node #2: [98, 79, 36] from Operation: 99-63=36 Current State: 17:[98, 79, 36], Operations: ['99-63=36'] Exploring Operation: 98-79=19, Resulting Numbers: [36, 19] Generated Node #3: [36, 19] from Operation: 98-79=19 Current State: 17:[36, 19], Operations: ['99-63=36', '98-79=19'] Exploring Operation: 36-19=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 73, 6, 4, 18 ]
100
[ "6*18=108", "108/4=27", "73+27=100" ]
Current State: 100:[73, 6, 4, 18], Operations: [] Exploring Operation: 6*18=108, Resulting Numbers: [73, 4, 108] Generated Node #2: [73, 4, 108] from Operation: 6*18=108 Current State: 100:[73, 4, 108], Operations: ['6*18=108'] Exploring Operation: 108/4=27, Resulting Numbers: [73, 27] Generated Node #3: [73, 27] from Operation: 108/4=27 Current State: 100:[73, 27], Operations: ['6*18=108', '108/4=27'] Exploring Operation: 73+27=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 49, 53, 20, 24 ]
19
[ "53-49=4", "20/4=5", "24-5=19" ]
Current State: 19:[49, 53, 20, 24], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [20, 24, 4] Generated Node #2: [20, 24, 4] from Operation: 53-49=4 Current State: 19:[20, 24, 4], Operations: ['53-49=4'] Exploring Operation: 20/4=5, Resulting Numbers: [24, 5] Generated Node #3: [24, 5] from Operation: 20/4=5 Current State: 19:[24, 5], Operations: ['53-49=4', '20/4=5'] Exploring Operation: 24-5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 5, 89, 28, 50 ]
16
[ "5+89=94", "28+50=78", "94-78=16" ]
Current State: 16:[5, 89, 28, 50], Operations: [] Exploring Operation: 5+89=94, Resulting Numbers: [28, 50, 94] Generated Node #2: [28, 50, 94] from Operation: 5+89=94 Current State: 16:[28, 50, 94], Operations: ['5+89=94'] Exploring Operation: 28+50=78, Resulting Numbers: [94, 78] Generated Node #3: [94, 78] from Operation: 28+50=78 Current State: 16:[94, 78], Operations: ['5+89=94', '28+50=78'] Exploring Operation: 94-78=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 97, 73, 38, 39 ]
24
[ "97-73=24", "39-38=1", "24*1=24" ]
Current State: 24:[97, 73, 38, 39], Operations: [] Exploring Operation: 97-73=24, Resulting Numbers: [38, 39, 24] Generated Node #2: [38, 39, 24] from Operation: 97-73=24 Current State: 24:[38, 39, 24], Operations: ['97-73=24'] Exploring Operation: 39-38=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 39-38=1 Current State: 24:[24, 1], Operations: ['97-73=24', '39-38=1'] Exploring Operation: 24*1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 18, 23, 97, 78 ]
23
[ "97-18=79", "79-78=1", "23*1=23" ]
Current State: 23:[18, 23, 97, 78], Operations: [] Exploring Operation: 97-18=79, Resulting Numbers: [23, 78, 79] Generated Node #2: [23, 78, 79] from Operation: 97-18=79 Current State: 23:[23, 78, 79], Operations: ['97-18=79'] Exploring Operation: 79-78=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 79-78=1 Current State: 23:[23, 1], Operations: ['97-18=79', '79-78=1'] Exploring Operation: 23*1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 70, 63, 10, 35 ]
50
[ "70-63=7", "10*35=350", "350/7=50" ]
Current State: 50:[70, 63, 10, 35], Operations: [] Exploring Operation: 70-63=7, Resulting Numbers: [10, 35, 7] Generated Node #2: [10, 35, 7] from Operation: 70-63=7 Current State: 50:[10, 35, 7], Operations: ['70-63=7'] Exploring Operation: 10*35=350, Resulting Numbers: [7, 350] Generated Node #3: [7, 350] from Operation: 10*35=350 Current State: 50:[7, 350], Operations: ['70-63=7', '10*35=350'] Exploring Operation: 350/7=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 78, 4, 67, 30 ]
14
[ "78-67=11", "4*11=44", "44-30=14" ]
Current State: 14:[78, 4, 67, 30], Operations: [] Exploring Operation: 78-67=11, Resulting Numbers: [4, 30, 11] Generated Node #2: [4, 30, 11] from Operation: 78-67=11 Current State: 14:[4, 30, 11], Operations: ['78-67=11'] Exploring Operation: 4*11=44, Resulting Numbers: [30, 44] Generated Node #3: [30, 44] from Operation: 4*11=44 Current State: 14:[30, 44], Operations: ['78-67=11', '4*11=44'] Exploring Operation: 44-30=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 31, 50, 20, 75 ]
26
[ "31+50=81", "75-20=55", "81-55=26" ]
Current State: 26:[31, 50, 20, 75], Operations: [] Exploring Operation: 31+50=81, Resulting Numbers: [20, 75, 81] Generated Node #2: [20, 75, 81] from Operation: 31+50=81 Current State: 26:[20, 75, 81], Operations: ['31+50=81'] Exploring Operation: 75-20=55, Resulting Numbers: [81, 55] Generated Node #3: [81, 55] from Operation: 75-20=55 Current State: 26:[81, 55], Operations: ['31+50=81', '75-20=55'] Exploring Operation: 81-55=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 97, 69, 95, 3 ]
74
[ "97+69=166", "95-3=92", "166-92=74" ]
Current State: 74:[97, 69, 95, 3], Operations: [] Exploring Operation: 97+69=166, Resulting Numbers: [95, 3, 166] Generated Node #2: [95, 3, 166] from Operation: 97+69=166 Current State: 74:[95, 3, 166], Operations: ['97+69=166'] Exploring Operation: 95-3=92, Resulting Numbers: [166, 92] Generated Node #3: [166, 92] from Operation: 95-3=92 Current State: 74:[166, 92], Operations: ['97+69=166', '95-3=92'] Exploring Operation: 166-92=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 40, 2, 92, 87 ]
10
[ "92-87=5", "40/5=8", "2+8=10" ]
Current State: 10:[40, 2, 92, 87], Operations: [] Exploring Operation: 92-87=5, Resulting Numbers: [40, 2, 5] Generated Node #2: [40, 2, 5] from Operation: 92-87=5 Current State: 10:[40, 2, 5], Operations: ['92-87=5'] Exploring Operation: 40/5=8, Resulting Numbers: [2, 8] Generated Node #3: [2, 8] from Operation: 40/5=8 Current State: 10:[2, 8], Operations: ['92-87=5', '40/5=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 38, 35, 24, 97 ]
89
[ "38-35=3", "24/3=8", "97-8=89" ]
Current State: 89:[38, 35, 24, 97], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [24, 97, 3] Generated Node #2: [24, 97, 3] from Operation: 38-35=3 Current State: 89:[24, 97, 3], Operations: ['38-35=3'] Exploring Operation: 24/3=8, Resulting Numbers: [97, 8] Generated Node #3: [97, 8] from Operation: 24/3=8 Current State: 89:[97, 8], Operations: ['38-35=3', '24/3=8'] Exploring Operation: 97-8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 39, 87, 68, 41 ]
44
[ "68-39=29", "87/29=3", "41+3=44" ]
Current State: 44:[39, 87, 68, 41], Operations: [] Exploring Operation: 68-39=29, Resulting Numbers: [87, 41, 29] Generated Node #2: [87, 41, 29] from Operation: 68-39=29 Current State: 44:[87, 41, 29], Operations: ['68-39=29'] Exploring Operation: 87/29=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 87/29=3 Current State: 44:[41, 3], Operations: ['68-39=29', '87/29=3'] Exploring Operation: 41+3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 48, 21, 68, 94 ]
53
[ "48-21=27", "94-68=26", "27+26=53" ]
Current State: 53:[48, 21, 68, 94], Operations: [] Exploring Operation: 48-21=27, Resulting Numbers: [68, 94, 27] Generated Node #2: [68, 94, 27] from Operation: 48-21=27 Current State: 53:[68, 94, 27], Operations: ['48-21=27'] Exploring Operation: 94-68=26, Resulting Numbers: [27, 26] Generated Node #3: [27, 26] from Operation: 94-68=26 Current State: 53:[27, 26], Operations: ['48-21=27', '94-68=26'] Exploring Operation: 27+26=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 99, 43, 60, 40 ]
44
[ "99-43=56", "60+40=100", "100-56=44" ]
Current State: 44:[99, 43, 60, 40], Operations: [] Exploring Operation: 99-43=56, Resulting Numbers: [60, 40, 56] Generated Node #2: [60, 40, 56] from Operation: 99-43=56 Current State: 44:[60, 40, 56], Operations: ['99-43=56'] Exploring Operation: 60+40=100, Resulting Numbers: [56, 100] Generated Node #3: [56, 100] from Operation: 60+40=100 Current State: 44:[56, 100], Operations: ['99-43=56', '60+40=100'] Exploring Operation: 100-56=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 66, 31, 4, 49 ]
56
[ "66-31=35", "49-35=14", "4*14=56" ]
Current State: 56:[66, 31, 4, 49], Operations: [] Exploring Operation: 66-31=35, Resulting Numbers: [4, 49, 35] Generated Node #2: [4, 49, 35] from Operation: 66-31=35 Current State: 56:[4, 49, 35], Operations: ['66-31=35'] Exploring Operation: 49-35=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 49-35=14 Current State: 56:[4, 14], Operations: ['66-31=35', '49-35=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 32, 82, 35, 47 ]
59
[ "35-32=3", "47*3=141", "141-82=59" ]
Current State: 59:[32, 82, 35, 47], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [82, 47, 3] Generated Node #2: [82, 47, 3] from Operation: 35-32=3 Current State: 59:[82, 47, 3], Operations: ['35-32=3'] Exploring Operation: 47*3=141, Resulting Numbers: [82, 141] Generated Node #3: [82, 141] from Operation: 47*3=141 Current State: 59:[82, 141], Operations: ['35-32=3', '47*3=141'] Exploring Operation: 141-82=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 55, 42, 84, 41 ]
81
[ "55-41=14", "42/14=3", "84-3=81" ]
Current State: 81:[55, 42, 84, 41], Operations: [] Exploring Operation: 55-41=14, Resulting Numbers: [42, 84, 14] Generated Node #2: [42, 84, 14] from Operation: 55-41=14 Current State: 81:[42, 84, 14], Operations: ['55-41=14'] Exploring Operation: 42/14=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 42/14=3 Current State: 81:[84, 3], Operations: ['55-41=14', '42/14=3'] Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 59, 14, 2, 12 ]
55
[ "59-14=45", "12-2=10", "45+10=55" ]
Current State: 55:[59, 14, 2, 12], Operations: [] Exploring Operation: 59-14=45, Resulting Numbers: [2, 12, 45] Generated Node #2: [2, 12, 45] from Operation: 59-14=45 Current State: 55:[2, 12, 45], Operations: ['59-14=45'] Exploring Operation: 12-2=10, Resulting Numbers: [45, 10] Generated Node #3: [45, 10] from Operation: 12-2=10 Current State: 55:[45, 10], Operations: ['59-14=45', '12-2=10'] Exploring Operation: 45+10=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 50, 70, 65, 75 ]
35
[ "70-65=5", "75/5=15", "50-15=35" ]
Current State: 35:[50, 70, 65, 75], Operations: [] Exploring Operation: 70-65=5, Resulting Numbers: [50, 75, 5] Generated Node #2: [50, 75, 5] from Operation: 70-65=5 Current State: 35:[50, 75, 5], Operations: ['70-65=5'] Exploring Operation: 75/5=15, Resulting Numbers: [50, 15] Generated Node #3: [50, 15] from Operation: 75/5=15 Current State: 35:[50, 15], Operations: ['70-65=5', '75/5=15'] Exploring Operation: 50-15=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 66, 85, 76, 21 ]
74
[ "85-66=19", "76-21=55", "19+55=74" ]
Current State: 74:[66, 85, 76, 21], Operations: [] Exploring Operation: 85-66=19, Resulting Numbers: [76, 21, 19] Generated Node #2: [76, 21, 19] from Operation: 85-66=19 Current State: 74:[76, 21, 19], Operations: ['85-66=19'] Exploring Operation: 76-21=55, Resulting Numbers: [19, 55] Generated Node #3: [19, 55] from Operation: 76-21=55 Current State: 74:[19, 55], Operations: ['85-66=19', '76-21=55'] Exploring Operation: 19+55=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 19, 90, 27, 40 ]
95
[ "27-19=8", "40/8=5", "90+5=95" ]
Current State: 95:[19, 90, 27, 40], Operations: [] Exploring Operation: 27-19=8, Resulting Numbers: [90, 40, 8] Generated Node #2: [90, 40, 8] from Operation: 27-19=8 Current State: 95:[90, 40, 8], Operations: ['27-19=8'] Exploring Operation: 40/8=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 40/8=5 Current State: 95:[90, 5], Operations: ['27-19=8', '40/8=5'] Exploring Operation: 90+5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 88, 87, 3, 69 ]
22
[ "88-87=1", "69/3=23", "23-1=22" ]
Current State: 22:[88, 87, 3, 69], Operations: [] Exploring Operation: 88-87=1, Resulting Numbers: [3, 69, 1] Generated Node #2: [3, 69, 1] from Operation: 88-87=1 Current State: 22:[3, 69, 1], Operations: ['88-87=1'] Exploring Operation: 69/3=23, Resulting Numbers: [1, 23] Generated Node #3: [1, 23] from Operation: 69/3=23 Current State: 22:[1, 23], Operations: ['88-87=1', '69/3=23'] Exploring Operation: 23-1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 64, 33, 22, 14 ]
23
[ "64-33=31", "22-14=8", "31-8=23" ]
Current State: 23:[64, 33, 22, 14], Operations: [] Exploring Operation: 64-33=31, Resulting Numbers: [22, 14, 31] Generated Node #2: [22, 14, 31] from Operation: 64-33=31 Current State: 23:[22, 14, 31], Operations: ['64-33=31'] Exploring Operation: 22-14=8, Resulting Numbers: [31, 8] Generated Node #3: [31, 8] from Operation: 22-14=8 Current State: 23:[31, 8], Operations: ['64-33=31', '22-14=8'] Exploring Operation: 31-8=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 2, 77, 98, 18 ]
83
[ "98-18=80", "2*80=160", "160-77=83" ]
Current State: 83:[2, 77, 98, 18], Operations: [] Exploring Operation: 98-18=80, Resulting Numbers: [2, 77, 80] Generated Node #2: [2, 77, 80] from Operation: 98-18=80 Current State: 83:[2, 77, 80], Operations: ['98-18=80'] Exploring Operation: 2*80=160, Resulting Numbers: [77, 160] Generated Node #3: [77, 160] from Operation: 2*80=160 Current State: 83:[77, 160], Operations: ['98-18=80', '2*80=160'] Exploring Operation: 160-77=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 3, 9, 17 ]
13
[ "2+3=5", "17-9=8", "5+8=13" ]
Current State: 13:[2, 3, 9, 17], Operations: [] Exploring Operation: 2+3=5, Resulting Numbers: [9, 17, 5] Generated Node #2: [9, 17, 5] from Operation: 2+3=5 Current State: 13:[9, 17, 5], Operations: ['2+3=5'] Exploring Operation: 17-9=8, Resulting Numbers: [5, 8] Generated Node #3: [5, 8] from Operation: 17-9=8 Current State: 13:[5, 8], Operations: ['2+3=5', '17-9=8'] Exploring Operation: 5+8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 30, 71, 24, 50 ]
27
[ "30+71=101", "24+50=74", "101-74=27" ]
Current State: 27:[30, 71, 24, 50], Operations: [] Exploring Operation: 30+71=101, Resulting Numbers: [24, 50, 101] Generated Node #2: [24, 50, 101] from Operation: 30+71=101 Current State: 27:[24, 50, 101], Operations: ['30+71=101'] Exploring Operation: 24+50=74, Resulting Numbers: [101, 74] Generated Node #3: [101, 74] from Operation: 24+50=74 Current State: 27:[101, 74], Operations: ['30+71=101', '24+50=74'] Exploring Operation: 101-74=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 4, 8, 13, 37 ]
65
[ "4*8=32", "37-32=5", "13*5=65" ]
Current State: 65:[4, 8, 13, 37], Operations: [] Exploring Operation: 4*8=32, Resulting Numbers: [13, 37, 32] Generated Node #2: [13, 37, 32] from Operation: 4*8=32 Current State: 65:[13, 37, 32], Operations: ['4*8=32'] Exploring Operation: 37-32=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 37-32=5 Current State: 65:[13, 5], Operations: ['4*8=32', '37-32=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 36, 96, 41, 65 ]
83
[ "41-36=5", "65/5=13", "96-13=83" ]
Current State: 83:[36, 96, 41, 65], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [96, 65, 5] Generated Node #2: [96, 65, 5] from Operation: 41-36=5 Current State: 83:[96, 65, 5], Operations: ['41-36=5'] Exploring Operation: 65/5=13, Resulting Numbers: [96, 13] Generated Node #3: [96, 13] from Operation: 65/5=13 Current State: 83:[96, 13], Operations: ['41-36=5', '65/5=13'] Exploring Operation: 96-13=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 54, 56, 14, 99 ]
83
[ "56-54=2", "99-14=85", "85-2=83" ]
Current State: 83:[54, 56, 14, 99], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [14, 99, 2] Generated Node #2: [14, 99, 2] from Operation: 56-54=2 Current State: 83:[14, 99, 2], Operations: ['56-54=2'] Exploring Operation: 99-14=85, Resulting Numbers: [2, 85] Generated Node #3: [2, 85] from Operation: 99-14=85 Current State: 83:[2, 85], Operations: ['56-54=2', '99-14=85'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 22, 96, 87, 2 ]
91
[ "22+2=24", "96/24=4", "87+4=91" ]
Current State: 91:[22, 96, 87, 2], Operations: [] Exploring Operation: 22+2=24, Resulting Numbers: [96, 87, 24] Generated Node #2: [96, 87, 24] from Operation: 22+2=24 Current State: 91:[96, 87, 24], Operations: ['22+2=24'] Exploring Operation: 96/24=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 96/24=4 Current State: 91:[87, 4], Operations: ['22+2=24', '96/24=4'] Exploring Operation: 87+4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 36, 14, 40, 36 ]
92
[ "40-36=4", "14*4=56", "36+56=92" ]
Current State: 92:[36, 14, 40, 36], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [14, 4] Generated Node #2: [14, 4] from Operation: 40-36=4 Current State: 92:[14, 4], Operations: ['40-36=4'] Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,92 equal: Goal Reached Exploring Operation: 36+56=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 48, 63, 98, 52 ]
39
[ "48+63=111", "98+52=150", "150-111=39" ]
Current State: 39:[48, 63, 98, 52], Operations: [] Exploring Operation: 48+63=111, Resulting Numbers: [98, 52, 111] Generated Node #2: [98, 52, 111] from Operation: 48+63=111 Current State: 39:[98, 52, 111], Operations: ['48+63=111'] Exploring Operation: 98+52=150, Resulting Numbers: [111, 150] Generated Node #3: [111, 150] from Operation: 98+52=150 Current State: 39:[111, 150], Operations: ['48+63=111', '98+52=150'] Exploring Operation: 150-111=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 40, 96, 68, 73 ]
12
[ "73-68=5", "40/5=8", "96/8=12" ]
Current State: 12:[40, 96, 68, 73], Operations: [] Exploring Operation: 73-68=5, Resulting Numbers: [40, 96, 5] Generated Node #2: [40, 96, 5] from Operation: 73-68=5 Current State: 12:[40, 96, 5], Operations: ['73-68=5'] Exploring Operation: 40/5=8, Resulting Numbers: [96, 8] Generated Node #3: [96, 8] from Operation: 40/5=8 Current State: 12:[96, 8], Operations: ['73-68=5', '40/5=8'] Exploring Operation: 96/8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 78, 36, 48, 49 ]
43
[ "78-36=42", "49-48=1", "42+1=43" ]
Current State: 43:[78, 36, 48, 49], Operations: [] Exploring Operation: 78-36=42, Resulting Numbers: [48, 49, 42] Generated Node #2: [48, 49, 42] from Operation: 78-36=42 Current State: 43:[48, 49, 42], Operations: ['78-36=42'] Exploring Operation: 49-48=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 49-48=1 Current State: 43:[42, 1], Operations: ['78-36=42', '49-48=1'] Exploring Operation: 42+1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 35, 6, 47, 45 ]
13
[ "45-35=10", "6*10=60", "60-47=13" ]
Current State: 13:[35, 6, 47, 45], Operations: [] Exploring Operation: 45-35=10, Resulting Numbers: [6, 47, 10] Generated Node #2: [6, 47, 10] from Operation: 45-35=10 Current State: 13:[6, 47, 10], Operations: ['45-35=10'] Exploring Operation: 6*10=60, Resulting Numbers: [47, 60] Generated Node #3: [47, 60] from Operation: 6*10=60 Current State: 13:[47, 60], Operations: ['45-35=10', '6*10=60'] Exploring Operation: 60-47=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 3, 3, 2, 93 ]
95
[ "3-3=0", "2+93=95", "0+95=95" ]
Current State: 95:[3, 3, 2, 93], Operations: [] Exploring Operation: 3-3=0, Resulting Numbers: [2, 93, 0] Generated Node #2: [2, 93, 0] from Operation: 3-3=0 Current State: 95:[2, 93, 0], Operations: ['3-3=0'] Exploring Operation: 2+93=95, Resulting Numbers: [0, 95] Generated Node #3: [0, 95] from Operation: 2+93=95 Current State: 95:[0, 95], Operations: ['3-3=0', '2+93=95'] Exploring Operation: 0+95=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 4, 27, 51, 49 ]
25
[ "27-4=23", "51-49=2", "23+2=25" ]
Current State: 25:[4, 27, 51, 49], Operations: [] Exploring Operation: 27-4=23, Resulting Numbers: [51, 49, 23] Generated Node #2: [51, 49, 23] from Operation: 27-4=23 Current State: 25:[51, 49, 23], Operations: ['27-4=23'] Exploring Operation: 51-49=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 51-49=2 Current State: 25:[23, 2], Operations: ['27-4=23', '51-49=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 62, 22, 86, 3 ]
26
[ "22+86=108", "108/3=36", "62-36=26" ]
Current State: 26:[62, 22, 86, 3], Operations: [] Exploring Operation: 22+86=108, Resulting Numbers: [62, 3, 108] Generated Node #2: [62, 3, 108] from Operation: 22+86=108 Current State: 26:[62, 3, 108], Operations: ['22+86=108'] Exploring Operation: 108/3=36, Resulting Numbers: [62, 36] Generated Node #3: [62, 36] from Operation: 108/3=36 Current State: 26:[62, 36], Operations: ['22+86=108', '108/3=36'] Exploring Operation: 62-36=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 62, 45, 45, 2 ]
11
[ "62-45=17", "2*17=34", "45-34=11" ]
Current State: 11:[62, 45, 45, 2], Operations: [] Exploring Operation: 62-45=17, Resulting Numbers: [2, 17] Generated Node #2: [2, 17] from Operation: 62-45=17 Current State: 11:[2, 17], Operations: ['62-45=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,11 equal: Goal Reached Exploring Operation: 45-34=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 57, 17, 6, 48 ]
37
[ "57-48=9", "6*9=54", "54-17=37" ]
Current State: 37:[57, 17, 6, 48], Operations: [] Exploring Operation: 57-48=9, Resulting Numbers: [17, 6, 9] Generated Node #2: [17, 6, 9] from Operation: 57-48=9 Current State: 37:[17, 6, 9], Operations: ['57-48=9'] Exploring Operation: 6*9=54, Resulting Numbers: [17, 54] Generated Node #3: [17, 54] from Operation: 6*9=54 Current State: 37:[17, 54], Operations: ['57-48=9', '6*9=54'] Exploring Operation: 54-17=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 47, 19, 53, 29 ]
60
[ "53-47=6", "29-19=10", "6*10=60" ]
Current State: 60:[47, 19, 53, 29], Operations: [] Exploring Operation: 53-47=6, Resulting Numbers: [19, 29, 6] Generated Node #2: [19, 29, 6] from Operation: 53-47=6 Current State: 60:[19, 29, 6], Operations: ['53-47=6'] Exploring Operation: 29-19=10, Resulting Numbers: [6, 10] Generated Node #3: [6, 10] from Operation: 29-19=10 Current State: 60:[6, 10], Operations: ['53-47=6', '29-19=10'] Exploring Operation: 6*10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 5, 9, 17, 15 ]
16
[ "5+9=14", "17-15=2", "14+2=16" ]
Current State: 16:[5, 9, 17, 15], Operations: [] Exploring Operation: 5+9=14, Resulting Numbers: [17, 15, 14] Generated Node #2: [17, 15, 14] from Operation: 5+9=14 Current State: 16:[17, 15, 14], Operations: ['5+9=14'] Exploring Operation: 17-15=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 17-15=2 Current State: 16:[14, 2], Operations: ['5+9=14', '17-15=2'] Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 19, 12, 42, 19 ]
12
[ "19-19=0", "42*0=0", "12+0=12" ]
Current State: 12:[19, 12, 42, 19], Operations: [] Exploring Operation: 19-19=0, Resulting Numbers: [12, 42, 0] Generated Node #2: [12, 42, 0] from Operation: 19-19=0 Current State: 12:[12, 42, 0], Operations: ['19-19=0'] Exploring Operation: 42*0=0, Resulting Numbers: [12, 0] Generated Node #3: [12, 0] from Operation: 42*0=0 Current State: 12:[12, 0], Operations: ['19-19=0', '42*0=0'] Exploring Operation: 12+0=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 60, 15, 27, 36 ]
67
[ "60/15=4", "27+36=63", "4+63=67" ]
Current State: 67:[60, 15, 27, 36], Operations: [] Exploring Operation: 60/15=4, Resulting Numbers: [27, 36, 4] Generated Node #2: [27, 36, 4] from Operation: 60/15=4 Current State: 67:[27, 36, 4], Operations: ['60/15=4'] Exploring Operation: 27+36=63, Resulting Numbers: [4, 63] Generated Node #3: [4, 63] from Operation: 27+36=63 Current State: 67:[4, 63], Operations: ['60/15=4', '27+36=63'] Exploring Operation: 4+63=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 96, 23, 99, 92 ]
17
[ "96+23=119", "99-92=7", "119/7=17" ]
Current State: 17:[96, 23, 99, 92], Operations: [] Exploring Operation: 96+23=119, Resulting Numbers: [99, 92, 119] Generated Node #2: [99, 92, 119] from Operation: 96+23=119 Current State: 17:[99, 92, 119], Operations: ['96+23=119'] Exploring Operation: 99-92=7, Resulting Numbers: [119, 7] Generated Node #3: [119, 7] from Operation: 99-92=7 Current State: 17:[119, 7], Operations: ['96+23=119', '99-92=7'] Exploring Operation: 119/7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 97, 5, 67, 41 ]
55
[ "97-67=30", "41-30=11", "5*11=55" ]
Current State: 55:[97, 5, 67, 41], Operations: [] Exploring Operation: 97-67=30, Resulting Numbers: [5, 41, 30] Generated Node #2: [5, 41, 30] from Operation: 97-67=30 Current State: 55:[5, 41, 30], Operations: ['97-67=30'] Exploring Operation: 41-30=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 41-30=11 Current State: 55:[5, 11], Operations: ['97-67=30', '41-30=11'] Exploring Operation: 5*11=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 56, 36, 22, 48 ]
15
[ "36*22=792", "48+792=840", "840/56=15" ]
Current State: 15:[56, 36, 22, 48], Operations: [] Exploring Operation: 36*22=792, Resulting Numbers: [56, 48, 792] Generated Node #2: [56, 48, 792] from Operation: 36*22=792 Current State: 15:[56, 48, 792], Operations: ['36*22=792'] Exploring Operation: 48+792=840, Resulting Numbers: [56, 840] Generated Node #3: [56, 840] from Operation: 48+792=840 Current State: 15:[56, 840], Operations: ['36*22=792', '48+792=840'] Exploring Operation: 840/56=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 8, 30, 98, 3 ]
19
[ "30+98=128", "128/8=16", "3+16=19" ]
Current State: 19:[8, 30, 98, 3], Operations: [] Exploring Operation: 30+98=128, Resulting Numbers: [8, 3, 128] Generated Node #2: [8, 3, 128] from Operation: 30+98=128 Current State: 19:[8, 3, 128], Operations: ['30+98=128'] Exploring Operation: 128/8=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 128/8=16 Current State: 19:[3, 16], Operations: ['30+98=128', '128/8=16'] Exploring Operation: 3+16=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 78, 82, 57, 54 ]
49
[ "78+82=160", "57+54=111", "160-111=49" ]
Current State: 49:[78, 82, 57, 54], Operations: [] Exploring Operation: 78+82=160, Resulting Numbers: [57, 54, 160] Generated Node #2: [57, 54, 160] from Operation: 78+82=160 Current State: 49:[57, 54, 160], Operations: ['78+82=160'] Exploring Operation: 57+54=111, Resulting Numbers: [160, 111] Generated Node #3: [160, 111] from Operation: 57+54=111 Current State: 49:[160, 111], Operations: ['78+82=160', '57+54=111'] Exploring Operation: 160-111=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 70, 23, 18, 3 ]
32
[ "70-23=47", "18-3=15", "47-15=32" ]
Current State: 32:[70, 23, 18, 3], Operations: [] Exploring Operation: 70-23=47, Resulting Numbers: [18, 3, 47] Generated Node #2: [18, 3, 47] from Operation: 70-23=47 Current State: 32:[18, 3, 47], Operations: ['70-23=47'] Exploring Operation: 18-3=15, Resulting Numbers: [47, 15] Generated Node #3: [47, 15] from Operation: 18-3=15 Current State: 32:[47, 15], Operations: ['70-23=47', '18-3=15'] Exploring Operation: 47-15=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 53, 62, 62, 37 ]
89
[ "53+37=90", "62/62=1", "90-1=89" ]
Current State: 89:[53, 62, 62, 37], Operations: [] Exploring Operation: 53+37=90, Resulting Numbers: [62, 62, 90] Generated Node #2: [62, 62, 90] from Operation: 53+37=90 Current State: 89:[62, 62, 90], Operations: ['53+37=90'] Exploring Operation: 62/62=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 62/62=1 Current State: 89:[90, 1], Operations: ['53+37=90', '62/62=1'] Exploring Operation: 90-1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 43, 1, 86, 65 ]
66
[ "86/43=2", "65-1=64", "2+64=66" ]
Current State: 66:[43, 1, 86, 65], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [1, 65, 2] Generated Node #2: [1, 65, 2] from Operation: 86/43=2 Current State: 66:[1, 65, 2], Operations: ['86/43=2'] Exploring Operation: 65-1=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 65-1=64 Current State: 66:[2, 64], Operations: ['86/43=2', '65-1=64'] Exploring Operation: 2+64=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 7, 5, 13, 5 ]
73
[ "7+5=12", "5*12=60", "13+60=73" ]
Current State: 73:[7, 5, 13, 5], Operations: [] Exploring Operation: 7+5=12, Resulting Numbers: [13, 12] Generated Node #2: [13, 12] from Operation: 7+5=12 Current State: 73:[13, 12], Operations: ['7+5=12'] Exploring Operation: 5*12=60, Resulting Numbers: [13, 60] Generated Node #3: [13, 60] from Operation: 5*12=60 Current State: 73:[13, 60], Operations: ['7+5=12', '5*12=60'] Exploring Operation: 13+60=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 87, 58, 18, 81 ]
82
[ "87+58=145", "81-18=63", "145-63=82" ]
Current State: 82:[87, 58, 18, 81], Operations: [] Exploring Operation: 87+58=145, Resulting Numbers: [18, 81, 145] Generated Node #2: [18, 81, 145] from Operation: 87+58=145 Current State: 82:[18, 81, 145], Operations: ['87+58=145'] Exploring Operation: 81-18=63, Resulting Numbers: [145, 63] Generated Node #3: [145, 63] from Operation: 81-18=63 Current State: 82:[145, 63], Operations: ['87+58=145', '81-18=63'] Exploring Operation: 145-63=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 66, 76, 98, 19 ]
16
[ "98-76=22", "66/22=3", "19-3=16" ]
Current State: 16:[66, 76, 98, 19], Operations: [] Exploring Operation: 98-76=22, Resulting Numbers: [66, 19, 22] Generated Node #2: [66, 19, 22] from Operation: 98-76=22 Current State: 16:[66, 19, 22], Operations: ['98-76=22'] Exploring Operation: 66/22=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 66/22=3 Current State: 16:[19, 3], Operations: ['98-76=22', '66/22=3'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 74, 58, 2, 78 ]
84
[ "78-58=20", "20/2=10", "74+10=84" ]
Current State: 84:[74, 58, 2, 78], Operations: [] Exploring Operation: 78-58=20, Resulting Numbers: [74, 2, 20] Generated Node #2: [74, 2, 20] from Operation: 78-58=20 Current State: 84:[74, 2, 20], Operations: ['78-58=20'] Exploring Operation: 20/2=10, Resulting Numbers: [74, 10] Generated Node #3: [74, 10] from Operation: 20/2=10 Current State: 84:[74, 10], Operations: ['78-58=20', '20/2=10'] Exploring Operation: 74+10=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 41, 5, 97, 63 ]
45
[ "41*5=205", "97+63=160", "205-160=45" ]
Current State: 45:[41, 5, 97, 63], Operations: [] Exploring Operation: 41*5=205, Resulting Numbers: [97, 63, 205] Generated Node #2: [97, 63, 205] from Operation: 41*5=205 Current State: 45:[97, 63, 205], Operations: ['41*5=205'] Exploring Operation: 97+63=160, Resulting Numbers: [205, 160] Generated Node #3: [205, 160] from Operation: 97+63=160 Current State: 45:[205, 160], Operations: ['41*5=205', '97+63=160'] Exploring Operation: 205-160=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 66, 81, 21, 20 ]
27
[ "66+81=147", "147/21=7", "20+7=27" ]
Current State: 27:[66, 81, 21, 20], Operations: [] Exploring Operation: 66+81=147, Resulting Numbers: [21, 20, 147] Generated Node #2: [21, 20, 147] from Operation: 66+81=147 Current State: 27:[21, 20, 147], Operations: ['66+81=147'] Exploring Operation: 147/21=7, Resulting Numbers: [20, 7] Generated Node #3: [20, 7] from Operation: 147/21=7 Current State: 27:[20, 7], Operations: ['66+81=147', '147/21=7'] Exploring Operation: 20+7=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 4, 14, 18, 11 ]
76
[ "4*11=44", "14+18=32", "44+32=76" ]
Current State: 76:[4, 14, 18, 11], Operations: [] Exploring Operation: 4*11=44, Resulting Numbers: [14, 18, 44] Generated Node #2: [14, 18, 44] from Operation: 4*11=44 Current State: 76:[14, 18, 44], Operations: ['4*11=44'] Exploring Operation: 14+18=32, Resulting Numbers: [44, 32] Generated Node #3: [44, 32] from Operation: 14+18=32 Current State: 76:[44, 32], Operations: ['4*11=44', '14+18=32'] Exploring Operation: 44+32=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 92, 23, 34, 16 ]
65
[ "92+23=115", "34+16=50", "115-50=65" ]
Current State: 65:[92, 23, 34, 16], Operations: [] Exploring Operation: 92+23=115, Resulting Numbers: [34, 16, 115] Generated Node #2: [34, 16, 115] from Operation: 92+23=115 Current State: 65:[34, 16, 115], Operations: ['92+23=115'] Exploring Operation: 34+16=50, Resulting Numbers: [115, 50] Generated Node #3: [115, 50] from Operation: 34+16=50 Current State: 65:[115, 50], Operations: ['92+23=115', '34+16=50'] Exploring Operation: 115-50=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 56, 12, 58, 9 ]
93
[ "56-12=44", "58-9=49", "44+49=93" ]
Current State: 93:[56, 12, 58, 9], Operations: [] Exploring Operation: 56-12=44, Resulting Numbers: [58, 9, 44] Generated Node #2: [58, 9, 44] from Operation: 56-12=44 Current State: 93:[58, 9, 44], Operations: ['56-12=44'] Exploring Operation: 58-9=49, Resulting Numbers: [44, 49] Generated Node #3: [44, 49] from Operation: 58-9=49 Current State: 93:[44, 49], Operations: ['56-12=44', '58-9=49'] Exploring Operation: 44+49=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4