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
[ 13, 74, 81, 11 ]
89
[ "13*81=1053", "1053-74=979", "979/11=89" ]
Current State: 89:[13, 74, 81, 11], Operations: [] Exploring Operation: 13*81=1053, Resulting Numbers: [74, 11, 1053] Generated Node #2: [74, 11, 1053] from Operation: 13*81=1053 Current State: 89:[74, 11, 1053], Operations: ['13*81=1053'] Exploring Operation: 1053-74=979, Resulting Numbers: [11, 979] Generated Node #3: [11, 979] from Operation: 1053-74=979 Current State: 89:[11, 979], Operations: ['13*81=1053', '1053-74=979'] Exploring Operation: 979/11=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 12, 7, 27, 53 ]
82
[ "12-7=5", "27*5=135", "135-53=82" ]
Current State: 82:[12, 7, 27, 53], Operations: [] Exploring Operation: 12-7=5, Resulting Numbers: [27, 53, 5] Generated Node #2: [27, 53, 5] from Operation: 12-7=5 Current State: 82:[27, 53, 5], Operations: ['12-7=5'] Exploring Operation: 27*5=135, Resulting Numbers: [53, 135] Generated Node #3: [53, 135] from Operation: 27*5=135 Current State: 82:[53, 135], Operations: ['12-7=5', '27*5=135'] Exploring Operation: 135-53=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 46, 83, 85, 9 ]
35
[ "46+83=129", "85+9=94", "129-94=35" ]
Current State: 35:[46, 83, 85, 9], Operations: [] Exploring Operation: 46+83=129, Resulting Numbers: [85, 9, 129] Generated Node #2: [85, 9, 129] from Operation: 46+83=129 Current State: 35:[85, 9, 129], Operations: ['46+83=129'] Exploring Operation: 85+9=94, Resulting Numbers: [129, 94] Generated Node #3: [129, 94] from Operation: 85+9=94 Current State: 35:[129, 94], Operations: ['46+83=129', '85+9=94'] Exploring Operation: 129-94=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 84, 33, 48, 62 ]
32
[ "84-62=22", "48*22=1056", "1056/33=32" ]
Current State: 32:[84, 33, 48, 62], Operations: [] Exploring Operation: 84-62=22, Resulting Numbers: [33, 48, 22] Generated Node #2: [33, 48, 22] from Operation: 84-62=22 Current State: 32:[33, 48, 22], Operations: ['84-62=22'] Exploring Operation: 48*22=1056, Resulting Numbers: [33, 1056] Generated Node #3: [33, 1056] from Operation: 48*22=1056 Current State: 32:[33, 1056], Operations: ['84-62=22', '48*22=1056'] Exploring Operation: 1056/33=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 14, 9, 38, 36 ]
69
[ "14-9=5", "38+36=74", "74-5=69" ]
Current State: 69:[14, 9, 38, 36], Operations: [] Exploring Operation: 14-9=5, Resulting Numbers: [38, 36, 5] Generated Node #2: [38, 36, 5] from Operation: 14-9=5 Current State: 69:[38, 36, 5], Operations: ['14-9=5'] Exploring Operation: 38+36=74, Resulting Numbers: [5, 74] Generated Node #3: [5, 74] from Operation: 38+36=74 Current State: 69:[5, 74], Operations: ['14-9=5', '38+36=74'] Exploring Operation: 74-5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 71, 11, 62, 52 ]
26
[ "71-11=60", "62-60=2", "52/2=26" ]
Current State: 26:[71, 11, 62, 52], Operations: [] Exploring Operation: 71-11=60, Resulting Numbers: [62, 52, 60] Generated Node #2: [62, 52, 60] from Operation: 71-11=60 Current State: 26:[62, 52, 60], Operations: ['71-11=60'] Exploring Operation: 62-60=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 62-60=2 Current State: 26:[52, 2], Operations: ['71-11=60', '62-60=2'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 5, 63, 5, 9 ]
54
[ "5+63=68", "5+9=14", "68-14=54" ]
Current State: 54:[5, 63, 5, 9], Operations: [] Exploring Operation: 5+63=68, Resulting Numbers: [9, 68] Generated Node #2: [9, 68] from Operation: 5+63=68 Current State: 54:[9, 68], Operations: ['5+63=68'] Exploring Operation: 5+9=14, Resulting Numbers: [68, 14] Generated Node #3: [68, 14] from Operation: 5+9=14 Current State: 54:[68, 14], Operations: ['5+63=68', '5+9=14'] Exploring Operation: 68-14=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 9, 87, 87, 90 ]
93
[ "9+87=96", "90-87=3", "96-3=93" ]
Current State: 93:[9, 87, 87, 90], Operations: [] Exploring Operation: 9+87=96, Resulting Numbers: [90, 96] Generated Node #2: [90, 96] from Operation: 9+87=96 Current State: 93:[90, 96], Operations: ['9+87=96'] Exploring Operation: 90-87=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 90-87=3 Current State: 93:[96, 3], Operations: ['9+87=96', '90-87=3'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 78, 67, 71, 37 ]
97
[ "78-67=11", "71+37=108", "108-11=97" ]
Current State: 97:[78, 67, 71, 37], Operations: [] Exploring Operation: 78-67=11, Resulting Numbers: [71, 37, 11] Generated Node #2: [71, 37, 11] from Operation: 78-67=11 Current State: 97:[71, 37, 11], Operations: ['78-67=11'] Exploring Operation: 71+37=108, Resulting Numbers: [11, 108] Generated Node #3: [11, 108] from Operation: 71+37=108 Current State: 97:[11, 108], Operations: ['78-67=11', '71+37=108'] Exploring Operation: 108-11=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 8, 51, 63, 31 ]
51
[ "51-8=43", "63+31=94", "94-43=51" ]
Current State: 51:[8, 51, 63, 31], Operations: [] Exploring Operation: 51-8=43, Resulting Numbers: [63, 31, 43] Generated Node #2: [63, 31, 43] from Operation: 51-8=43 Current State: 51:[63, 31, 43], Operations: ['51-8=43'] Exploring Operation: 63+31=94, Resulting Numbers: [43, 94] Generated Node #3: [43, 94] from Operation: 63+31=94 Current State: 51:[43, 94], Operations: ['51-8=43', '63+31=94'] Exploring Operation: 94-43=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 94, 8, 28, 52 ]
84
[ "28+52=80", "80/8=10", "94-10=84" ]
Current State: 84:[94, 8, 28, 52], Operations: [] Exploring Operation: 28+52=80, Resulting Numbers: [94, 8, 80] Generated Node #2: [94, 8, 80] from Operation: 28+52=80 Current State: 84:[94, 8, 80], Operations: ['28+52=80'] Exploring Operation: 80/8=10, Resulting Numbers: [94, 10] Generated Node #3: [94, 10] from Operation: 80/8=10 Current State: 84:[94, 10], Operations: ['28+52=80', '80/8=10'] Exploring Operation: 94-10=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 5, 99, 90, 52 ]
91
[ "90-52=38", "5*38=190", "190-99=91" ]
Current State: 91:[5, 99, 90, 52], Operations: [] Exploring Operation: 90-52=38, Resulting Numbers: [5, 99, 38] Generated Node #2: [5, 99, 38] from Operation: 90-52=38 Current State: 91:[5, 99, 38], Operations: ['90-52=38'] Exploring Operation: 5*38=190, Resulting Numbers: [99, 190] Generated Node #3: [99, 190] from Operation: 5*38=190 Current State: 91:[99, 190], Operations: ['90-52=38', '5*38=190'] Exploring Operation: 190-99=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 1, 4, 9, 27 ]
100
[ "9-1=8", "4*27=108", "108-8=100" ]
Current State: 100:[1, 4, 9, 27], Operations: [] Exploring Operation: 9-1=8, Resulting Numbers: [4, 27, 8] Generated Node #2: [4, 27, 8] from Operation: 9-1=8 Current State: 100:[4, 27, 8], Operations: ['9-1=8'] Exploring Operation: 4*27=108, Resulting Numbers: [8, 108] Generated Node #3: [8, 108] from Operation: 4*27=108 Current State: 100:[8, 108], Operations: ['9-1=8', '4*27=108'] Exploring Operation: 108-8=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 7, 5, 13, 85 ]
89
[ "7+13=20", "20/5=4", "85+4=89" ]
Current State: 89:[7, 5, 13, 85], Operations: [] Exploring Operation: 7+13=20, Resulting Numbers: [5, 85, 20] Generated Node #2: [5, 85, 20] from Operation: 7+13=20 Current State: 89:[5, 85, 20], Operations: ['7+13=20'] Exploring Operation: 20/5=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 20/5=4 Current State: 89:[85, 4], Operations: ['7+13=20', '20/5=4'] Exploring Operation: 85+4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 78, 14, 28, 42 ]
81
[ "78*14=1092", "1092/28=39", "42+39=81" ]
Current State: 81:[78, 14, 28, 42], Operations: [] Exploring Operation: 78*14=1092, Resulting Numbers: [28, 42, 1092] Generated Node #2: [28, 42, 1092] from Operation: 78*14=1092 Current State: 81:[28, 42, 1092], Operations: ['78*14=1092'] Exploring Operation: 1092/28=39, Resulting Numbers: [42, 39] Generated Node #3: [42, 39] from Operation: 1092/28=39 Current State: 81:[42, 39], Operations: ['78*14=1092', '1092/28=39'] Exploring Operation: 42+39=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 66, 62, 44, 54 ]
19
[ "66*54=3564", "3564/44=81", "81-62=19" ]
Current State: 19:[66, 62, 44, 54], Operations: [] Exploring Operation: 66*54=3564, Resulting Numbers: [62, 44, 3564] Generated Node #2: [62, 44, 3564] from Operation: 66*54=3564 Current State: 19:[62, 44, 3564], Operations: ['66*54=3564'] Exploring Operation: 3564/44=81, Resulting Numbers: [62, 81] Generated Node #3: [62, 81] from Operation: 3564/44=81 Current State: 19:[62, 81], Operations: ['66*54=3564', '3564/44=81'] Exploring Operation: 81-62=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 91, 54, 15, 53 ]
52
[ "91+15=106", "106/53=2", "54-2=52" ]
Current State: 52:[91, 54, 15, 53], Operations: [] Exploring Operation: 91+15=106, Resulting Numbers: [54, 53, 106] Generated Node #2: [54, 53, 106] from Operation: 91+15=106 Current State: 52:[54, 53, 106], Operations: ['91+15=106'] Exploring Operation: 106/53=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 106/53=2 Current State: 52:[54, 2], Operations: ['91+15=106', '106/53=2'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 18, 35, 59, 21 ]
72
[ "21-18=3", "59-35=24", "3*24=72" ]
Current State: 72:[18, 35, 59, 21], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [35, 59, 3] Generated Node #2: [35, 59, 3] from Operation: 21-18=3 Current State: 72:[35, 59, 3], Operations: ['21-18=3'] Exploring Operation: 59-35=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 59-35=24 Current State: 72:[3, 24], Operations: ['21-18=3', '59-35=24'] Exploring Operation: 3*24=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 72, 84, 52, 84 ]
28
[ "72+84=156", "52*84=4368", "4368/156=28" ]
Current State: 28:[72, 84, 52, 84], Operations: [] Exploring Operation: 72+84=156, Resulting Numbers: [52, 156] Generated Node #2: [52, 156] from Operation: 72+84=156 Current State: 28:[52, 156], Operations: ['72+84=156'] Exploring Operation: 52*84=4368, Resulting Numbers: [156, 4368] Generated Node #3: [156, 4368] from Operation: 52*84=4368 Current State: 28:[156, 4368], Operations: ['72+84=156', '52*84=4368'] Exploring Operation: 4368/156=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 97, 4, 92, 57 ]
68
[ "97-57=40", "4*40=160", "160-92=68" ]
Current State: 68:[97, 4, 92, 57], Operations: [] Exploring Operation: 97-57=40, Resulting Numbers: [4, 92, 40] Generated Node #2: [4, 92, 40] from Operation: 97-57=40 Current State: 68:[4, 92, 40], Operations: ['97-57=40'] Exploring Operation: 4*40=160, Resulting Numbers: [92, 160] Generated Node #3: [92, 160] from Operation: 4*40=160 Current State: 68:[92, 160], Operations: ['97-57=40', '4*40=160'] Exploring Operation: 160-92=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 77, 60, 6, 18 ]
80
[ "60-6=54", "54/18=3", "77+3=80" ]
Current State: 80:[77, 60, 6, 18], Operations: [] Exploring Operation: 60-6=54, Resulting Numbers: [77, 18, 54] Generated Node #2: [77, 18, 54] from Operation: 60-6=54 Current State: 80:[77, 18, 54], Operations: ['60-6=54'] Exploring Operation: 54/18=3, Resulting Numbers: [77, 3] Generated Node #3: [77, 3] from Operation: 54/18=3 Current State: 80:[77, 3], Operations: ['60-6=54', '54/18=3'] Exploring Operation: 77+3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 11, 64, 22, 21 ]
75
[ "11+64=75", "22-21=1", "75*1=75" ]
Current State: 75:[11, 64, 22, 21], Operations: [] Exploring Operation: 11+64=75, Resulting Numbers: [22, 21, 75] Generated Node #2: [22, 21, 75] from Operation: 11+64=75 Current State: 75:[22, 21, 75], Operations: ['11+64=75'] Exploring Operation: 22-21=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 22-21=1 Current State: 75:[75, 1], Operations: ['11+64=75', '22-21=1'] Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 90, 10, 74, 30 ]
53
[ "90/10=9", "74-30=44", "9+44=53" ]
Current State: 53:[90, 10, 74, 30], Operations: [] Exploring Operation: 90/10=9, Resulting Numbers: [74, 30, 9] Generated Node #2: [74, 30, 9] from Operation: 90/10=9 Current State: 53:[74, 30, 9], Operations: ['90/10=9'] Exploring Operation: 74-30=44, Resulting Numbers: [9, 44] Generated Node #3: [9, 44] from Operation: 74-30=44 Current State: 53:[9, 44], Operations: ['90/10=9', '74-30=44'] Exploring Operation: 9+44=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 64, 78, 88, 8 ]
94
[ "78-64=14", "88-8=80", "14+80=94" ]
Current State: 94:[64, 78, 88, 8], Operations: [] Exploring Operation: 78-64=14, Resulting Numbers: [88, 8, 14] Generated Node #2: [88, 8, 14] from Operation: 78-64=14 Current State: 94:[88, 8, 14], Operations: ['78-64=14'] Exploring Operation: 88-8=80, Resulting Numbers: [14, 80] Generated Node #3: [14, 80] from Operation: 88-8=80 Current State: 94:[14, 80], Operations: ['78-64=14', '88-8=80'] Exploring Operation: 14+80=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 78, 88, 29, 56 ]
95
[ "88-78=10", "29+56=85", "10+85=95" ]
Current State: 95:[78, 88, 29, 56], Operations: [] Exploring Operation: 88-78=10, Resulting Numbers: [29, 56, 10] Generated Node #2: [29, 56, 10] from Operation: 88-78=10 Current State: 95:[29, 56, 10], Operations: ['88-78=10'] Exploring Operation: 29+56=85, Resulting Numbers: [10, 85] Generated Node #3: [10, 85] from Operation: 29+56=85 Current State: 95:[10, 85], Operations: ['88-78=10', '29+56=85'] Exploring Operation: 10+85=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 92, 42, 92, 51 ]
51
[ "92-92=0", "42*0=0", "51+0=51" ]
Current State: 51:[92, 42, 92, 51], Operations: [] Exploring Operation: 92-92=0, Resulting Numbers: [42, 51, 0] Generated Node #2: [42, 51, 0] from Operation: 92-92=0 Current State: 51:[42, 51, 0], Operations: ['92-92=0'] Exploring Operation: 42*0=0, Resulting Numbers: [51, 0] Generated Node #3: [51, 0] from Operation: 42*0=0 Current State: 51:[51, 0], Operations: ['92-92=0', '42*0=0'] Exploring Operation: 51+0=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 38, 6, 30, 26 ]
60
[ "38-26=12", "30/6=5", "12*5=60" ]
Current State: 60:[38, 6, 30, 26], Operations: [] Exploring Operation: 38-26=12, Resulting Numbers: [6, 30, 12] Generated Node #2: [6, 30, 12] from Operation: 38-26=12 Current State: 60:[6, 30, 12], Operations: ['38-26=12'] Exploring Operation: 30/6=5, Resulting Numbers: [12, 5] Generated Node #3: [12, 5] from Operation: 30/6=5 Current State: 60:[12, 5], Operations: ['38-26=12', '30/6=5'] Exploring Operation: 12*5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 8, 6, 97, 17 ]
15
[ "6+97=103", "17+103=120", "120/8=15" ]
Current State: 15:[8, 6, 97, 17], Operations: [] Exploring Operation: 6+97=103, Resulting Numbers: [8, 17, 103] Generated Node #2: [8, 17, 103] from Operation: 6+97=103 Current State: 15:[8, 17, 103], Operations: ['6+97=103'] Exploring Operation: 17+103=120, Resulting Numbers: [8, 120] Generated Node #3: [8, 120] from Operation: 17+103=120 Current State: 15:[8, 120], Operations: ['6+97=103', '17+103=120'] Exploring Operation: 120/8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 72, 93, 24, 24 ]
55
[ "72/24=3", "93/3=31", "24+31=55" ]
Current State: 55:[72, 93, 24, 24], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [93, 3] Generated Node #2: [93, 3] from Operation: 72/24=3 Current State: 55:[93, 3], Operations: ['72/24=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,55 equal: Goal Reached Exploring Operation: 24+31=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 81, 9, 82, 27 ]
55
[ "81*9=729", "729/27=27", "82-27=55" ]
Current State: 55:[81, 9, 82, 27], Operations: [] Exploring Operation: 81*9=729, Resulting Numbers: [82, 27, 729] Generated Node #2: [82, 27, 729] from Operation: 81*9=729 Current State: 55:[82, 27, 729], Operations: ['81*9=729'] Exploring Operation: 729/27=27, Resulting Numbers: [82, 27] Generated Node #3: [82, 27] from Operation: 729/27=27 Current State: 55:[82, 27], Operations: ['81*9=729', '729/27=27'] Exploring Operation: 82-27=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 6, 30, 26, 51 ]
11
[ "6+30=36", "51-26=25", "36-25=11" ]
Current State: 11:[6, 30, 26, 51], Operations: [] Exploring Operation: 6+30=36, Resulting Numbers: [26, 51, 36] Generated Node #2: [26, 51, 36] from Operation: 6+30=36 Current State: 11:[26, 51, 36], Operations: ['6+30=36'] Exploring Operation: 51-26=25, Resulting Numbers: [36, 25] Generated Node #3: [36, 25] from Operation: 51-26=25 Current State: 11:[36, 25], Operations: ['6+30=36', '51-26=25'] Exploring Operation: 36-25=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 46, 79, 73, 42 ]
39
[ "79-73=6", "42/6=7", "46-7=39" ]
Current State: 39:[46, 79, 73, 42], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [46, 42, 6] Generated Node #2: [46, 42, 6] from Operation: 79-73=6 Current State: 39:[46, 42, 6], Operations: ['79-73=6'] Exploring Operation: 42/6=7, Resulting Numbers: [46, 7] Generated Node #3: [46, 7] from Operation: 42/6=7 Current State: 39:[46, 7], Operations: ['79-73=6', '42/6=7'] Exploring Operation: 46-7=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 63, 11, 21, 84 ]
39
[ "63/21=3", "84/3=28", "11+28=39" ]
Current State: 39:[63, 11, 21, 84], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [11, 84, 3] Generated Node #2: [11, 84, 3] from Operation: 63/21=3 Current State: 39:[11, 84, 3], Operations: ['63/21=3'] Exploring Operation: 84/3=28, Resulting Numbers: [11, 28] Generated Node #3: [11, 28] from Operation: 84/3=28 Current State: 39:[11, 28], Operations: ['63/21=3', '84/3=28'] Exploring Operation: 11+28=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 3, 77, 64, 35 ]
50
[ "77-35=42", "42/3=14", "64-14=50" ]
Current State: 50:[3, 77, 64, 35], Operations: [] Exploring Operation: 77-35=42, Resulting Numbers: [3, 64, 42] Generated Node #2: [3, 64, 42] from Operation: 77-35=42 Current State: 50:[3, 64, 42], Operations: ['77-35=42'] Exploring Operation: 42/3=14, Resulting Numbers: [64, 14] Generated Node #3: [64, 14] from Operation: 42/3=14 Current State: 50:[64, 14], Operations: ['77-35=42', '42/3=14'] Exploring Operation: 64-14=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 92, 87, 47, 44 ]
15
[ "92-87=5", "47-44=3", "5*3=15" ]
Current State: 15:[92, 87, 47, 44], Operations: [] Exploring Operation: 92-87=5, Resulting Numbers: [47, 44, 5] Generated Node #2: [47, 44, 5] from Operation: 92-87=5 Current State: 15:[47, 44, 5], Operations: ['92-87=5'] Exploring Operation: 47-44=3, Resulting Numbers: [5, 3] Generated Node #3: [5, 3] from Operation: 47-44=3 Current State: 15:[5, 3], Operations: ['92-87=5', '47-44=3'] Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 50, 25, 7, 7 ]
76
[ "50+25=75", "7/7=1", "75+1=76" ]
Current State: 76:[50, 25, 7, 7], Operations: [] Exploring Operation: 50+25=75, Resulting Numbers: [7, 7, 75] Generated Node #2: [7, 7, 75] from Operation: 50+25=75 Current State: 76:[7, 7, 75], Operations: ['50+25=75'] Exploring Operation: 7/7=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 7/7=1 Current State: 76:[75, 1], Operations: ['50+25=75', '7/7=1'] Exploring Operation: 75+1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 4, 7, 28, 26 ]
23
[ "28/4=7", "7*7=49", "49-26=23" ]
Current State: 23:[4, 7, 28, 26], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [7, 26, 7] Generated Node #2: [7, 26, 7] from Operation: 28/4=7 Current State: 23:[7, 26, 7], Operations: ['28/4=7'] Exploring Operation: 7*7=49, Resulting Numbers: [26, 49] Generated Node #3: [26, 49] from Operation: 7*7=49 Current State: 23:[26, 49], Operations: ['28/4=7', '7*7=49'] Exploring Operation: 49-26=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 89, 93, 11, 98 ]
73
[ "89+93=182", "11+98=109", "182-109=73" ]
Current State: 73:[89, 93, 11, 98], Operations: [] Exploring Operation: 89+93=182, Resulting Numbers: [11, 98, 182] Generated Node #2: [11, 98, 182] from Operation: 89+93=182 Current State: 73:[11, 98, 182], Operations: ['89+93=182'] Exploring Operation: 11+98=109, Resulting Numbers: [182, 109] Generated Node #3: [182, 109] from Operation: 11+98=109 Current State: 73:[182, 109], Operations: ['89+93=182', '11+98=109'] Exploring Operation: 182-109=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 73, 80, 38, 7 ]
87
[ "80-73=7", "7*7=49", "38+49=87" ]
Current State: 87:[73, 80, 38, 7], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [38, 7, 7] Generated Node #2: [38, 7, 7] from Operation: 80-73=7 Current State: 87:[38, 7, 7], Operations: ['80-73=7'] Exploring Operation: 7*7=49, Resulting Numbers: [38, 49] Generated Node #3: [38, 49] from Operation: 7*7=49 Current State: 87:[38, 49], Operations: ['80-73=7', '7*7=49'] Exploring Operation: 38+49=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 63, 95, 77, 82 ]
37
[ "95-63=32", "82-77=5", "32+5=37" ]
Current State: 37:[63, 95, 77, 82], Operations: [] Exploring Operation: 95-63=32, Resulting Numbers: [77, 82, 32] Generated Node #2: [77, 82, 32] from Operation: 95-63=32 Current State: 37:[77, 82, 32], Operations: ['95-63=32'] Exploring Operation: 82-77=5, Resulting Numbers: [32, 5] Generated Node #3: [32, 5] from Operation: 82-77=5 Current State: 37:[32, 5], Operations: ['95-63=32', '82-77=5'] Exploring Operation: 32+5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 4, 8, 16, 10 ]
82
[ "4*16=64", "8+10=18", "64+18=82" ]
Current State: 82:[4, 8, 16, 10], Operations: [] Exploring Operation: 4*16=64, Resulting Numbers: [8, 10, 64] Generated Node #2: [8, 10, 64] from Operation: 4*16=64 Current State: 82:[8, 10, 64], Operations: ['4*16=64'] Exploring Operation: 8+10=18, Resulting Numbers: [64, 18] Generated Node #3: [64, 18] from Operation: 8+10=18 Current State: 82:[64, 18], Operations: ['4*16=64', '8+10=18'] Exploring Operation: 64+18=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 77, 80, 29, 74 ]
17
[ "77-74=3", "80-29=51", "51/3=17" ]
Current State: 17:[77, 80, 29, 74], Operations: [] Exploring Operation: 77-74=3, Resulting Numbers: [80, 29, 3] Generated Node #2: [80, 29, 3] from Operation: 77-74=3 Current State: 17:[80, 29, 3], Operations: ['77-74=3'] Exploring Operation: 80-29=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 80-29=51 Current State: 17:[3, 51], Operations: ['77-74=3', '80-29=51'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 53, 75, 64, 36 ]
38
[ "53+75=128", "128/64=2", "36+2=38" ]
Current State: 38:[53, 75, 64, 36], Operations: [] Exploring Operation: 53+75=128, Resulting Numbers: [64, 36, 128] Generated Node #2: [64, 36, 128] from Operation: 53+75=128 Current State: 38:[64, 36, 128], Operations: ['53+75=128'] Exploring Operation: 128/64=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 128/64=2 Current State: 38:[36, 2], Operations: ['53+75=128', '128/64=2'] Exploring Operation: 36+2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 10, 21, 96, 44 ]
100
[ "21-10=11", "44/11=4", "96+4=100" ]
Current State: 100:[10, 21, 96, 44], Operations: [] Exploring Operation: 21-10=11, Resulting Numbers: [96, 44, 11] Generated Node #2: [96, 44, 11] from Operation: 21-10=11 Current State: 100:[96, 44, 11], Operations: ['21-10=11'] Exploring Operation: 44/11=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 44/11=4 Current State: 100:[96, 4], Operations: ['21-10=11', '44/11=4'] Exploring Operation: 96+4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 5, 32, 38, 34 ]
41
[ "5+32=37", "38-34=4", "37+4=41" ]
Current State: 41:[5, 32, 38, 34], Operations: [] Exploring Operation: 5+32=37, Resulting Numbers: [38, 34, 37] Generated Node #2: [38, 34, 37] from Operation: 5+32=37 Current State: 41:[38, 34, 37], Operations: ['5+32=37'] Exploring Operation: 38-34=4, Resulting Numbers: [37, 4] Generated Node #3: [37, 4] from Operation: 38-34=4 Current State: 41:[37, 4], Operations: ['5+32=37', '38-34=4'] Exploring Operation: 37+4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 27, 24, 30, 16 ]
24
[ "30-27=3", "24-16=8", "3*8=24" ]
Current State: 24:[27, 24, 30, 16], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [24, 16, 3] Generated Node #2: [24, 16, 3] from Operation: 30-27=3 Current State: 24:[24, 16, 3], Operations: ['30-27=3'] Exploring Operation: 24-16=8, Resulting Numbers: [3, 8] Generated Node #3: [3, 8] from Operation: 24-16=8 Current State: 24:[3, 8], Operations: ['30-27=3', '24-16=8'] Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 70, 78, 7, 11 ]
26
[ "78-70=8", "7+11=18", "8+18=26" ]
Current State: 26:[70, 78, 7, 11], Operations: [] Exploring Operation: 78-70=8, Resulting Numbers: [7, 11, 8] Generated Node #2: [7, 11, 8] from Operation: 78-70=8 Current State: 26:[7, 11, 8], Operations: ['78-70=8'] Exploring Operation: 7+11=18, Resulting Numbers: [8, 18] Generated Node #3: [8, 18] from Operation: 7+11=18 Current State: 26:[8, 18], Operations: ['78-70=8', '7+11=18'] Exploring Operation: 8+18=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 76, 74, 2, 68 ]
69
[ "76-74=2", "2/2=1", "68+1=69" ]
Current State: 69:[76, 74, 2, 68], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [2, 68, 2] Generated Node #2: [2, 68, 2] from Operation: 76-74=2 Current State: 69:[2, 68, 2], Operations: ['76-74=2'] Exploring Operation: 2/2=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 2/2=1 Current State: 69:[68, 1], Operations: ['76-74=2', '2/2=1'] Exploring Operation: 68+1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 31, 30, 58, 9 ]
90
[ "58-31=27", "30*27=810", "810/9=90" ]
Current State: 90:[31, 30, 58, 9], Operations: [] Exploring Operation: 58-31=27, Resulting Numbers: [30, 9, 27] Generated Node #2: [30, 9, 27] from Operation: 58-31=27 Current State: 90:[30, 9, 27], Operations: ['58-31=27'] Exploring Operation: 30*27=810, Resulting Numbers: [9, 810] Generated Node #3: [9, 810] from Operation: 30*27=810 Current State: 90:[9, 810], Operations: ['58-31=27', '30*27=810'] Exploring Operation: 810/9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 3, 79, 21, 21 ]
83
[ "3+79=82", "21/21=1", "82+1=83" ]
Current State: 83:[3, 79, 21, 21], Operations: [] Exploring Operation: 3+79=82, Resulting Numbers: [21, 21, 82] Generated Node #2: [21, 21, 82] from Operation: 3+79=82 Current State: 83:[21, 21, 82], Operations: ['3+79=82'] Exploring Operation: 21/21=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 21/21=1 Current State: 83:[82, 1], Operations: ['3+79=82', '21/21=1'] Exploring Operation: 82+1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 52, 43, 42, 47 ]
17
[ "52-47=5", "43+42=85", "85/5=17" ]
Current State: 17:[52, 43, 42, 47], Operations: [] Exploring Operation: 52-47=5, Resulting Numbers: [43, 42, 5] Generated Node #2: [43, 42, 5] from Operation: 52-47=5 Current State: 17:[43, 42, 5], Operations: ['52-47=5'] Exploring Operation: 43+42=85, Resulting Numbers: [5, 85] Generated Node #3: [5, 85] from Operation: 43+42=85 Current State: 17:[5, 85], Operations: ['52-47=5', '43+42=85'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 2, 7, 18, 18 ]
90
[ "2*18=36", "7*18=126", "126-36=90" ]
Current State: 90:[2, 7, 18, 18], Operations: [] Exploring Operation: 2*18=36, Resulting Numbers: [7, 36] Generated Node #2: [7, 36] from Operation: 2*18=36 Current State: 90:[7, 36], Operations: ['2*18=36'] Exploring Operation: 7*18=126, Resulting Numbers: [36, 126] Generated Node #3: [36, 126] from Operation: 7*18=126 Current State: 90:[36, 126], Operations: ['2*18=36', '7*18=126'] Exploring Operation: 126-36=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 15, 24, 57, 3 ]
64
[ "15+57=72", "24/3=8", "72-8=64" ]
Current State: 64:[15, 24, 57, 3], Operations: [] Exploring Operation: 15+57=72, Resulting Numbers: [24, 3, 72] Generated Node #2: [24, 3, 72] from Operation: 15+57=72 Current State: 64:[24, 3, 72], Operations: ['15+57=72'] Exploring Operation: 24/3=8, Resulting Numbers: [72, 8] Generated Node #3: [72, 8] from Operation: 24/3=8 Current State: 64:[72, 8], Operations: ['15+57=72', '24/3=8'] Exploring Operation: 72-8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 73, 63, 49, 27 ]
86
[ "73-63=10", "49+27=76", "10+76=86" ]
Current State: 86:[73, 63, 49, 27], Operations: [] Exploring Operation: 73-63=10, Resulting Numbers: [49, 27, 10] Generated Node #2: [49, 27, 10] from Operation: 73-63=10 Current State: 86:[49, 27, 10], Operations: ['73-63=10'] Exploring Operation: 49+27=76, Resulting Numbers: [10, 76] Generated Node #3: [10, 76] from Operation: 49+27=76 Current State: 86:[10, 76], Operations: ['73-63=10', '49+27=76'] Exploring Operation: 10+76=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 85, 75, 2, 89 ]
94
[ "85-75=10", "10/2=5", "89+5=94" ]
Current State: 94:[85, 75, 2, 89], Operations: [] Exploring Operation: 85-75=10, Resulting Numbers: [2, 89, 10] Generated Node #2: [2, 89, 10] from Operation: 85-75=10 Current State: 94:[2, 89, 10], Operations: ['85-75=10'] Exploring Operation: 10/2=5, Resulting Numbers: [89, 5] Generated Node #3: [89, 5] from Operation: 10/2=5 Current State: 94:[89, 5], Operations: ['85-75=10', '10/2=5'] Exploring Operation: 89+5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 51, 57, 6, 76 ]
88
[ "57-51=6", "6+76=82", "6+82=88" ]
Current State: 88:[51, 57, 6, 76], Operations: [] Exploring Operation: 57-51=6, Resulting Numbers: [6, 76, 6] Generated Node #2: [6, 76, 6] from Operation: 57-51=6 Current State: 88:[6, 76, 6], Operations: ['57-51=6'] Exploring Operation: 6+76=82, Resulting Numbers: [82] 82,88 equal: Goal Reached Exploring Operation: 6+82=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 86, 8, 22, 11 ]
36
[ "86+22=108", "11-8=3", "108/3=36" ]
Current State: 36:[86, 8, 22, 11], Operations: [] Exploring Operation: 86+22=108, Resulting Numbers: [8, 11, 108] Generated Node #2: [8, 11, 108] from Operation: 86+22=108 Current State: 36:[8, 11, 108], Operations: ['86+22=108'] Exploring Operation: 11-8=3, Resulting Numbers: [108, 3] Generated Node #3: [108, 3] from Operation: 11-8=3 Current State: 36:[108, 3], Operations: ['86+22=108', '11-8=3'] Exploring Operation: 108/3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 48, 4, 43, 37 ]
57
[ "48+43=91", "4*37=148", "148-91=57" ]
Current State: 57:[48, 4, 43, 37], Operations: [] Exploring Operation: 48+43=91, Resulting Numbers: [4, 37, 91] Generated Node #2: [4, 37, 91] from Operation: 48+43=91 Current State: 57:[4, 37, 91], Operations: ['48+43=91'] Exploring Operation: 4*37=148, Resulting Numbers: [91, 148] Generated Node #3: [91, 148] from Operation: 4*37=148 Current State: 57:[91, 148], Operations: ['48+43=91', '4*37=148'] Exploring Operation: 148-91=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 36, 54, 62, 23 ]
67
[ "54-36=18", "62+23=85", "85-18=67" ]
Current State: 67:[36, 54, 62, 23], Operations: [] Exploring Operation: 54-36=18, Resulting Numbers: [62, 23, 18] Generated Node #2: [62, 23, 18] from Operation: 54-36=18 Current State: 67:[62, 23, 18], Operations: ['54-36=18'] Exploring Operation: 62+23=85, Resulting Numbers: [18, 85] Generated Node #3: [18, 85] from Operation: 62+23=85 Current State: 67:[18, 85], Operations: ['54-36=18', '62+23=85'] Exploring Operation: 85-18=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 78, 34, 23, 43 ]
46
[ "78+34=112", "23+43=66", "112-66=46" ]
Current State: 46:[78, 34, 23, 43], Operations: [] Exploring Operation: 78+34=112, Resulting Numbers: [23, 43, 112] Generated Node #2: [23, 43, 112] from Operation: 78+34=112 Current State: 46:[23, 43, 112], Operations: ['78+34=112'] Exploring Operation: 23+43=66, Resulting Numbers: [112, 66] Generated Node #3: [112, 66] from Operation: 23+43=66 Current State: 46:[112, 66], Operations: ['78+34=112', '23+43=66'] Exploring Operation: 112-66=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 60, 82, 61, 6 ]
77
[ "82-60=22", "61-6=55", "22+55=77" ]
Current State: 77:[60, 82, 61, 6], Operations: [] Exploring Operation: 82-60=22, Resulting Numbers: [61, 6, 22] Generated Node #2: [61, 6, 22] from Operation: 82-60=22 Current State: 77:[61, 6, 22], Operations: ['82-60=22'] Exploring Operation: 61-6=55, Resulting Numbers: [22, 55] Generated Node #3: [22, 55] from Operation: 61-6=55 Current State: 77:[22, 55], Operations: ['82-60=22', '61-6=55'] Exploring Operation: 22+55=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 21, 73, 12, 70 ]
25
[ "73-70=3", "12/3=4", "21+4=25" ]
Current State: 25:[21, 73, 12, 70], Operations: [] Exploring Operation: 73-70=3, Resulting Numbers: [21, 12, 3] Generated Node #2: [21, 12, 3] from Operation: 73-70=3 Current State: 25:[21, 12, 3], Operations: ['73-70=3'] Exploring Operation: 12/3=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 12/3=4 Current State: 25:[21, 4], Operations: ['73-70=3', '12/3=4'] Exploring Operation: 21+4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 52, 74, 2 ]
13
[ "52-4=48", "74-48=26", "26/2=13" ]
Current State: 13:[4, 52, 74, 2], Operations: [] Exploring Operation: 52-4=48, Resulting Numbers: [74, 2, 48] Generated Node #2: [74, 2, 48] from Operation: 52-4=48 Current State: 13:[74, 2, 48], Operations: ['52-4=48'] Exploring Operation: 74-48=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 74-48=26 Current State: 13:[2, 26], Operations: ['52-4=48', '74-48=26'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 22, 36, 27, 7 ]
34
[ "36-22=14", "27-7=20", "14+20=34" ]
Current State: 34:[22, 36, 27, 7], Operations: [] Exploring Operation: 36-22=14, Resulting Numbers: [27, 7, 14] Generated Node #2: [27, 7, 14] from Operation: 36-22=14 Current State: 34:[27, 7, 14], Operations: ['36-22=14'] Exploring Operation: 27-7=20, Resulting Numbers: [14, 20] Generated Node #3: [14, 20] from Operation: 27-7=20 Current State: 34:[14, 20], Operations: ['36-22=14', '27-7=20'] Exploring Operation: 14+20=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 8, 92, 52, 99 ]
51
[ "8+92=100", "52+99=151", "151-100=51" ]
Current State: 51:[8, 92, 52, 99], Operations: [] Exploring Operation: 8+92=100, Resulting Numbers: [52, 99, 100] Generated Node #2: [52, 99, 100] from Operation: 8+92=100 Current State: 51:[52, 99, 100], Operations: ['8+92=100'] Exploring Operation: 52+99=151, Resulting Numbers: [100, 151] Generated Node #3: [100, 151] from Operation: 52+99=151 Current State: 51:[100, 151], Operations: ['8+92=100', '52+99=151'] Exploring Operation: 151-100=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 54, 72, 44, 18 ]
46
[ "54-18=36", "72/36=2", "44+2=46" ]
Current State: 46:[54, 72, 44, 18], Operations: [] Exploring Operation: 54-18=36, Resulting Numbers: [72, 44, 36] Generated Node #2: [72, 44, 36] from Operation: 54-18=36 Current State: 46:[72, 44, 36], Operations: ['54-18=36'] Exploring Operation: 72/36=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 72/36=2 Current State: 46:[44, 2], Operations: ['54-18=36', '72/36=2'] Exploring Operation: 44+2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 62, 26, 46, 24 ]
69
[ "62-26=36", "46*36=1656", "1656/24=69" ]
Current State: 69:[62, 26, 46, 24], Operations: [] Exploring Operation: 62-26=36, Resulting Numbers: [46, 24, 36] Generated Node #2: [46, 24, 36] from Operation: 62-26=36 Current State: 69:[46, 24, 36], Operations: ['62-26=36'] Exploring Operation: 46*36=1656, Resulting Numbers: [24, 1656] Generated Node #3: [24, 1656] from Operation: 46*36=1656 Current State: 69:[24, 1656], Operations: ['62-26=36', '46*36=1656'] Exploring Operation: 1656/24=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 35, 42, 76, 90 ]
38
[ "90-76=14", "42/14=3", "35+3=38" ]
Current State: 38:[35, 42, 76, 90], Operations: [] Exploring Operation: 90-76=14, Resulting Numbers: [35, 42, 14] Generated Node #2: [35, 42, 14] from Operation: 90-76=14 Current State: 38:[35, 42, 14], Operations: ['90-76=14'] Exploring Operation: 42/14=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 42/14=3 Current State: 38:[35, 3], Operations: ['90-76=14', '42/14=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 39, 39, 12, 76 ]
88
[ "39-39=0", "12+76=88", "0+88=88" ]
Current State: 88:[39, 39, 12, 76], Operations: [] Exploring Operation: 39-39=0, Resulting Numbers: [12, 76, 0] Generated Node #2: [12, 76, 0] from Operation: 39-39=0 Current State: 88:[12, 76, 0], Operations: ['39-39=0'] Exploring Operation: 12+76=88, Resulting Numbers: [0, 88] Generated Node #3: [0, 88] from Operation: 12+76=88 Current State: 88:[0, 88], Operations: ['39-39=0', '12+76=88'] Exploring Operation: 0+88=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 49, 49, 2, 56 ]
56
[ "49-49=0", "2*0=0", "56+0=56" ]
Current State: 56:[49, 49, 2, 56], Operations: [] Exploring Operation: 49-49=0, Resulting Numbers: [2, 56, 0] Generated Node #2: [2, 56, 0] from Operation: 49-49=0 Current State: 56:[2, 56, 0], Operations: ['49-49=0'] Exploring Operation: 2*0=0, Resulting Numbers: [56, 0] Generated Node #3: [56, 0] from Operation: 2*0=0 Current State: 56:[56, 0], Operations: ['49-49=0', '2*0=0'] Exploring Operation: 56+0=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 41, 18, 55, 18 ]
41
[ "18-18=0", "55*0=0", "41+0=41" ]
Current State: 41:[41, 18, 55, 18], Operations: [] Exploring Operation: 18-18=0, Resulting Numbers: [41, 55, 0] Generated Node #2: [41, 55, 0] from Operation: 18-18=0 Current State: 41:[41, 55, 0], Operations: ['18-18=0'] Exploring Operation: 55*0=0, Resulting Numbers: [41, 0] Generated Node #3: [41, 0] from Operation: 55*0=0 Current State: 41:[41, 0], Operations: ['18-18=0', '55*0=0'] Exploring Operation: 41+0=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 61, 41, 7, 88 ]
98
[ "61+41=102", "102-88=14", "7*14=98" ]
Current State: 98:[61, 41, 7, 88], Operations: [] Exploring Operation: 61+41=102, Resulting Numbers: [7, 88, 102] Generated Node #2: [7, 88, 102] from Operation: 61+41=102 Current State: 98:[7, 88, 102], Operations: ['61+41=102'] Exploring Operation: 102-88=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 102-88=14 Current State: 98:[7, 14], Operations: ['61+41=102', '102-88=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 66, 21, 7, 94 ]
31
[ "94-66=28", "21/7=3", "28+3=31" ]
Current State: 31:[66, 21, 7, 94], Operations: [] Exploring Operation: 94-66=28, Resulting Numbers: [21, 7, 28] Generated Node #2: [21, 7, 28] from Operation: 94-66=28 Current State: 31:[21, 7, 28], Operations: ['94-66=28'] Exploring Operation: 21/7=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 21/7=3 Current State: 31:[28, 3], Operations: ['94-66=28', '21/7=3'] Exploring Operation: 28+3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 57, 93, 21, 93 ]
79
[ "57+21=78", "93/93=1", "78+1=79" ]
Current State: 79:[57, 93, 21, 93], Operations: [] Exploring Operation: 57+21=78, Resulting Numbers: [93, 93, 78] Generated Node #2: [93, 93, 78] from Operation: 57+21=78 Current State: 79:[93, 93, 78], Operations: ['57+21=78'] Exploring Operation: 93/93=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 93/93=1 Current State: 79:[78, 1], Operations: ['57+21=78', '93/93=1'] Exploring Operation: 78+1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 45, 75, 2, 88 ]
74
[ "75-45=30", "88/2=44", "30+44=74" ]
Current State: 74:[45, 75, 2, 88], Operations: [] Exploring Operation: 75-45=30, Resulting Numbers: [2, 88, 30] Generated Node #2: [2, 88, 30] from Operation: 75-45=30 Current State: 74:[2, 88, 30], Operations: ['75-45=30'] Exploring Operation: 88/2=44, Resulting Numbers: [30, 44] Generated Node #3: [30, 44] from Operation: 88/2=44 Current State: 74:[30, 44], Operations: ['75-45=30', '88/2=44'] Exploring Operation: 30+44=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 25, 79, 63, 37 ]
78
[ "25+79=104", "63-37=26", "104-26=78" ]
Current State: 78:[25, 79, 63, 37], Operations: [] Exploring Operation: 25+79=104, Resulting Numbers: [63, 37, 104] Generated Node #2: [63, 37, 104] from Operation: 25+79=104 Current State: 78:[63, 37, 104], Operations: ['25+79=104'] Exploring Operation: 63-37=26, Resulting Numbers: [104, 26] Generated Node #3: [104, 26] from Operation: 63-37=26 Current State: 78:[104, 26], Operations: ['25+79=104', '63-37=26'] Exploring Operation: 104-26=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 19, 67, 8, 8 ]
67
[ "8-8=0", "19*0=0", "67+0=67" ]
Current State: 67:[19, 67, 8, 8], Operations: [] Exploring Operation: 8-8=0, Resulting Numbers: [19, 67, 0] Generated Node #2: [19, 67, 0] from Operation: 8-8=0 Current State: 67:[19, 67, 0], Operations: ['8-8=0'] Exploring Operation: 19*0=0, Resulting Numbers: [67, 0] Generated Node #3: [67, 0] from Operation: 19*0=0 Current State: 67:[67, 0], Operations: ['8-8=0', '19*0=0'] Exploring Operation: 67+0=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 56, 7, 10, 42 ]
12
[ "56-42=14", "14/7=2", "10+2=12" ]
Current State: 12:[56, 7, 10, 42], Operations: [] Exploring Operation: 56-42=14, Resulting Numbers: [7, 10, 14] Generated Node #2: [7, 10, 14] from Operation: 56-42=14 Current State: 12:[7, 10, 14], Operations: ['56-42=14'] Exploring Operation: 14/7=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 14/7=2 Current State: 12:[10, 2], Operations: ['56-42=14', '14/7=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 90, 48, 61, 78 ]
97
[ "90-48=42", "61+78=139", "139-42=97" ]
Current State: 97:[90, 48, 61, 78], Operations: [] Exploring Operation: 90-48=42, Resulting Numbers: [61, 78, 42] Generated Node #2: [61, 78, 42] from Operation: 90-48=42 Current State: 97:[61, 78, 42], Operations: ['90-48=42'] Exploring Operation: 61+78=139, Resulting Numbers: [42, 139] Generated Node #3: [42, 139] from Operation: 61+78=139 Current State: 97:[42, 139], Operations: ['90-48=42', '61+78=139'] Exploring Operation: 139-42=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 63, 2, 75, 25 ]
63
[ "75/25=3", "3-2=1", "63*1=63" ]
Current State: 63:[63, 2, 75, 25], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [63, 2, 3] Generated Node #2: [63, 2, 3] from Operation: 75/25=3 Current State: 63:[63, 2, 3], Operations: ['75/25=3'] Exploring Operation: 3-2=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 3-2=1 Current State: 63:[63, 1], Operations: ['75/25=3', '3-2=1'] Exploring Operation: 63*1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 82, 92, 13, 70 ]
60
[ "92-82=10", "13*10=130", "130-70=60" ]
Current State: 60:[82, 92, 13, 70], Operations: [] Exploring Operation: 92-82=10, Resulting Numbers: [13, 70, 10] Generated Node #2: [13, 70, 10] from Operation: 92-82=10 Current State: 60:[13, 70, 10], Operations: ['92-82=10'] Exploring Operation: 13*10=130, Resulting Numbers: [70, 130] Generated Node #3: [70, 130] from Operation: 13*10=130 Current State: 60:[70, 130], Operations: ['92-82=10', '13*10=130'] Exploring Operation: 130-70=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 29, 9, 24, 35 ]
30
[ "35-29=6", "9*6=54", "54-24=30" ]
Current State: 30:[29, 9, 24, 35], Operations: [] Exploring Operation: 35-29=6, Resulting Numbers: [9, 24, 6] Generated Node #2: [9, 24, 6] from Operation: 35-29=6 Current State: 30:[9, 24, 6], Operations: ['35-29=6'] Exploring Operation: 9*6=54, Resulting Numbers: [24, 54] Generated Node #3: [24, 54] from Operation: 9*6=54 Current State: 30:[24, 54], Operations: ['35-29=6', '9*6=54'] Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 21, 24, 29, 21 ]
11
[ "24-21=3", "29-21=8", "3+8=11" ]
Current State: 11:[21, 24, 29, 21], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [29, 3] Generated Node #2: [29, 3] from Operation: 24-21=3 Current State: 11:[29, 3], Operations: ['24-21=3'] Exploring Operation: 29-21=8, Resulting Numbers: [3, 8] Generated Node #3: [3, 8] from Operation: 29-21=8 Current State: 11:[3, 8], Operations: ['24-21=3', '29-21=8'] Exploring Operation: 3+8=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 8, 80, 4, 36 ]
75
[ "4+36=40", "40/8=5", "80-5=75" ]
Current State: 75:[8, 80, 4, 36], Operations: [] Exploring Operation: 4+36=40, Resulting Numbers: [8, 80, 40] Generated Node #2: [8, 80, 40] from Operation: 4+36=40 Current State: 75:[8, 80, 40], Operations: ['4+36=40'] Exploring Operation: 40/8=5, Resulting Numbers: [80, 5] Generated Node #3: [80, 5] from Operation: 40/8=5 Current State: 75:[80, 5], Operations: ['4+36=40', '40/8=5'] Exploring Operation: 80-5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 64, 43, 27, 4 ]
24
[ "64-43=21", "27-21=6", "4*6=24" ]
Current State: 24:[64, 43, 27, 4], Operations: [] Exploring Operation: 64-43=21, Resulting Numbers: [27, 4, 21] Generated Node #2: [27, 4, 21] from Operation: 64-43=21 Current State: 24:[27, 4, 21], Operations: ['64-43=21'] Exploring Operation: 27-21=6, Resulting Numbers: [4, 6] Generated Node #3: [4, 6] from Operation: 27-21=6 Current State: 24:[4, 6], Operations: ['64-43=21', '27-21=6'] Exploring Operation: 4*6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 69, 90, 53, 40 ]
43
[ "69+90=159", "159/53=3", "40+3=43" ]
Current State: 43:[69, 90, 53, 40], Operations: [] Exploring Operation: 69+90=159, Resulting Numbers: [53, 40, 159] Generated Node #2: [53, 40, 159] from Operation: 69+90=159 Current State: 43:[53, 40, 159], Operations: ['69+90=159'] Exploring Operation: 159/53=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 159/53=3 Current State: 43:[40, 3], Operations: ['69+90=159', '159/53=3'] Exploring Operation: 40+3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 68, 58, 55, 25 ]
96
[ "68+58=126", "55-25=30", "126-30=96" ]
Current State: 96:[68, 58, 55, 25], Operations: [] Exploring Operation: 68+58=126, Resulting Numbers: [55, 25, 126] Generated Node #2: [55, 25, 126] from Operation: 68+58=126 Current State: 96:[55, 25, 126], Operations: ['68+58=126'] Exploring Operation: 55-25=30, Resulting Numbers: [126, 30] Generated Node #3: [126, 30] from Operation: 55-25=30 Current State: 96:[126, 30], Operations: ['68+58=126', '55-25=30'] Exploring Operation: 126-30=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 64, 40, 74, 25 ]
25
[ "64-40=24", "74-25=49", "49-24=25" ]
Current State: 25:[64, 40, 74, 25], Operations: [] Exploring Operation: 64-40=24, Resulting Numbers: [74, 25, 24] Generated Node #2: [74, 25, 24] from Operation: 64-40=24 Current State: 25:[74, 25, 24], Operations: ['64-40=24'] Exploring Operation: 74-25=49, Resulting Numbers: [24, 49] Generated Node #3: [24, 49] from Operation: 74-25=49 Current State: 25:[24, 49], Operations: ['64-40=24', '74-25=49'] Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 26, 8, 24, 78 ]
96
[ "78/26=3", "8+24=32", "3*32=96" ]
Current State: 96:[26, 8, 24, 78], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [8, 24, 3] Generated Node #2: [8, 24, 3] from Operation: 78/26=3 Current State: 96:[8, 24, 3], Operations: ['78/26=3'] Exploring Operation: 8+24=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 8+24=32 Current State: 96:[3, 32], Operations: ['78/26=3', '8+24=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 19, 97, 6, 22 ]
23
[ "19+97=116", "22+116=138", "138/6=23" ]
Current State: 23:[19, 97, 6, 22], Operations: [] Exploring Operation: 19+97=116, Resulting Numbers: [6, 22, 116] Generated Node #2: [6, 22, 116] from Operation: 19+97=116 Current State: 23:[6, 22, 116], Operations: ['19+97=116'] Exploring Operation: 22+116=138, Resulting Numbers: [6, 138] Generated Node #3: [6, 138] from Operation: 22+116=138 Current State: 23:[6, 138], Operations: ['19+97=116', '22+116=138'] Exploring Operation: 138/6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 31, 88, 12, 15 ]
79
[ "88*15=1320", "1320/12=110", "110-31=79" ]
Current State: 79:[31, 88, 12, 15], Operations: [] Exploring Operation: 88*15=1320, Resulting Numbers: [31, 12, 1320] Generated Node #2: [31, 12, 1320] from Operation: 88*15=1320 Current State: 79:[31, 12, 1320], Operations: ['88*15=1320'] Exploring Operation: 1320/12=110, Resulting Numbers: [31, 110] Generated Node #3: [31, 110] from Operation: 1320/12=110 Current State: 79:[31, 110], Operations: ['88*15=1320', '1320/12=110'] Exploring Operation: 110-31=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 93, 16, 27, 11 ]
71
[ "93+16=109", "27+11=38", "109-38=71" ]
Current State: 71:[93, 16, 27, 11], Operations: [] Exploring Operation: 93+16=109, Resulting Numbers: [27, 11, 109] Generated Node #2: [27, 11, 109] from Operation: 93+16=109 Current State: 71:[27, 11, 109], Operations: ['93+16=109'] Exploring Operation: 27+11=38, Resulting Numbers: [109, 38] Generated Node #3: [109, 38] from Operation: 27+11=38 Current State: 71:[109, 38], Operations: ['93+16=109', '27+11=38'] Exploring Operation: 109-38=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 56, 2, 76, 6 ]
92
[ "56/2=28", "6*28=168", "168-76=92" ]
Current State: 92:[56, 2, 76, 6], Operations: [] Exploring Operation: 56/2=28, Resulting Numbers: [76, 6, 28] Generated Node #2: [76, 6, 28] from Operation: 56/2=28 Current State: 92:[76, 6, 28], Operations: ['56/2=28'] Exploring Operation: 6*28=168, Resulting Numbers: [76, 168] Generated Node #3: [76, 168] from Operation: 6*28=168 Current State: 92:[76, 168], Operations: ['56/2=28', '6*28=168'] Exploring Operation: 168-76=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 43, 22, 27, 26 ]
85
[ "43-26=17", "27-22=5", "17*5=85" ]
Current State: 85:[43, 22, 27, 26], Operations: [] Exploring Operation: 43-26=17, Resulting Numbers: [22, 27, 17] Generated Node #2: [22, 27, 17] from Operation: 43-26=17 Current State: 85:[22, 27, 17], Operations: ['43-26=17'] Exploring Operation: 27-22=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 27-22=5 Current State: 85:[17, 5], Operations: ['43-26=17', '27-22=5'] Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 81, 96, 70, 52 ]
83
[ "96-70=26", "52/26=2", "81+2=83" ]
Current State: 83:[81, 96, 70, 52], Operations: [] Exploring Operation: 96-70=26, Resulting Numbers: [81, 52, 26] Generated Node #2: [81, 52, 26] from Operation: 96-70=26 Current State: 83:[81, 52, 26], Operations: ['96-70=26'] Exploring Operation: 52/26=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 52/26=2 Current State: 83:[81, 2], Operations: ['96-70=26', '52/26=2'] Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 25, 38, 89, 8 ]
46
[ "89-25=64", "64/8=8", "38+8=46" ]
Current State: 46:[25, 38, 89, 8], Operations: [] Exploring Operation: 89-25=64, Resulting Numbers: [38, 8, 64] Generated Node #2: [38, 8, 64] from Operation: 89-25=64 Current State: 46:[38, 8, 64], Operations: ['89-25=64'] Exploring Operation: 64/8=8, Resulting Numbers: [38, 8] Generated Node #3: [38, 8] from Operation: 64/8=8 Current State: 46:[38, 8], Operations: ['89-25=64', '64/8=8'] Exploring Operation: 38+8=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 21, 60, 58, 24 ]
62
[ "60+24=84", "84/21=4", "58+4=62" ]
Current State: 62:[21, 60, 58, 24], Operations: [] Exploring Operation: 60+24=84, Resulting Numbers: [21, 58, 84] Generated Node #2: [21, 58, 84] from Operation: 60+24=84 Current State: 62:[21, 58, 84], Operations: ['60+24=84'] Exploring Operation: 84/21=4, Resulting Numbers: [58, 4] Generated Node #3: [58, 4] from Operation: 84/21=4 Current State: 62:[58, 4], Operations: ['60+24=84', '84/21=4'] Exploring Operation: 58+4=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 44, 6, 3, 53 ]
81
[ "53-44=9", "6+3=9", "9*9=81" ]
Current State: 81:[44, 6, 3, 53], Operations: [] Exploring Operation: 53-44=9, Resulting Numbers: [6, 3, 9] Generated Node #2: [6, 3, 9] from Operation: 53-44=9 Current State: 81:[6, 3, 9], Operations: ['53-44=9'] Exploring Operation: 6+3=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 6+3=9 Current State: 81:[9, 9], Operations: ['53-44=9', '6+3=9'] Exploring Operation: 9*9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 32, 50, 75, 15 ]
87
[ "32+50=82", "75/15=5", "82+5=87" ]
Current State: 87:[32, 50, 75, 15], Operations: [] Exploring Operation: 32+50=82, Resulting Numbers: [75, 15, 82] Generated Node #2: [75, 15, 82] from Operation: 32+50=82 Current State: 87:[75, 15, 82], Operations: ['32+50=82'] Exploring Operation: 75/15=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 75/15=5 Current State: 87:[82, 5], Operations: ['32+50=82', '75/15=5'] Exploring Operation: 82+5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 53, 84, 96, 44 ]
21
[ "84-53=31", "96-44=52", "52-31=21" ]
Current State: 21:[53, 84, 96, 44], Operations: [] Exploring Operation: 84-53=31, Resulting Numbers: [96, 44, 31] Generated Node #2: [96, 44, 31] from Operation: 84-53=31 Current State: 21:[96, 44, 31], Operations: ['84-53=31'] Exploring Operation: 96-44=52, Resulting Numbers: [31, 52] Generated Node #3: [31, 52] from Operation: 96-44=52 Current State: 21:[31, 52], Operations: ['84-53=31', '96-44=52'] Exploring Operation: 52-31=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4