Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 22, 27, 62, 51 ]
38
[ "22+27=49", "62-51=11", "49-11=38" ]
Current State: 38:[22, 27, 62, 51], Operations: [] Exploring Operation: 22+27=49, Resulting Numbers: [62, 51, 49] Generated Node #2: [62, 51, 49] from Operation: 22+27=49 Current State: 38:[62, 51, 49], Operations: ['22+27=49'] Exploring Operation: 62-51=11, Resulting Numbers: [49, 11] Generated Node #3: [49, 11] from Operation: 62-51=11 Current State: 38:[49, 11], Operations: ['22+27=49', '62-51=11'] Exploring Operation: 49-11=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 12, 26, 12, 55 ]
53
[ "26-12=14", "12+55=67", "67-14=53" ]
Current State: 53:[12, 26, 12, 55], Operations: [] Exploring Operation: 26-12=14, Resulting Numbers: [55, 14] Generated Node #2: [55, 14] from Operation: 26-12=14 Current State: 53:[55, 14], Operations: ['26-12=14'] Exploring Operation: 12+55=67, Resulting Numbers: [14, 67] Generated Node #3: [14, 67] from Operation: 12+55=67 Current State: 53:[14, 67], Operations: ['26-12=14', '12+55=67'] Exploring Operation: 67-14=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 57, 38, 60, 15 ]
94
[ "57-38=19", "60+15=75", "19+75=94" ]
Current State: 94:[57, 38, 60, 15], Operations: [] Exploring Operation: 57-38=19, Resulting Numbers: [60, 15, 19] Generated Node #2: [60, 15, 19] from Operation: 57-38=19 Current State: 94:[60, 15, 19], Operations: ['57-38=19'] Exploring Operation: 60+15=75, Resulting Numbers: [19, 75] Generated Node #3: [19, 75] from Operation: 60+15=75 Current State: 94:[19, 75], Operations: ['57-38=19', '60+15=75'] Exploring Operation: 19+75=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 60, 20, 10, 68 ]
31
[ "10*68=680", "680-60=620", "620/20=31" ]
Current State: 31:[60, 20, 10, 68], Operations: [] Exploring Operation: 10*68=680, Resulting Numbers: [60, 20, 680] Generated Node #2: [60, 20, 680] from Operation: 10*68=680 Current State: 31:[60, 20, 680], Operations: ['10*68=680'] Exploring Operation: 680-60=620, Resulting Numbers: [20, 620] Generated Node #3: [20, 620] from Operation: 680-60=620 Current State: 31:[20, 620], Operations: ['10*68=680', '680-60=620'] Exploring Operation: 620/20=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 50, 71, 63, 76 ]
65
[ "63-50=13", "76-71=5", "13*5=65" ]
Current State: 65:[50, 71, 63, 76], Operations: [] Exploring Operation: 63-50=13, Resulting Numbers: [71, 76, 13] Generated Node #2: [71, 76, 13] from Operation: 63-50=13 Current State: 65:[71, 76, 13], Operations: ['63-50=13'] Exploring Operation: 76-71=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 76-71=5 Current State: 65:[13, 5], Operations: ['63-50=13', '76-71=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 17, 28, 10, 60 ]
20
[ "28*10=280", "60+280=340", "340/17=20" ]
Current State: 20:[17, 28, 10, 60], Operations: [] Exploring Operation: 28*10=280, Resulting Numbers: [17, 60, 280] Generated Node #2: [17, 60, 280] from Operation: 28*10=280 Current State: 20:[17, 60, 280], Operations: ['28*10=280'] Exploring Operation: 60+280=340, Resulting Numbers: [17, 340] Generated Node #3: [17, 340] from Operation: 60+280=340 Current State: 20:[17, 340], Operations: ['28*10=280', '60+280=340'] Exploring Operation: 340/17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 13, 43, 20, 40 ]
32
[ "43-13=30", "40/20=2", "30+2=32" ]
Current State: 32:[13, 43, 20, 40], Operations: [] Exploring Operation: 43-13=30, Resulting Numbers: [20, 40, 30] Generated Node #2: [20, 40, 30] from Operation: 43-13=30 Current State: 32:[20, 40, 30], Operations: ['43-13=30'] Exploring Operation: 40/20=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 40/20=2 Current State: 32:[30, 2], Operations: ['43-13=30', '40/20=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 56, 75, 24, 10 ]
79
[ "24-10=14", "56/14=4", "75+4=79" ]
Current State: 79:[56, 75, 24, 10], Operations: [] Exploring Operation: 24-10=14, Resulting Numbers: [56, 75, 14] Generated Node #2: [56, 75, 14] from Operation: 24-10=14 Current State: 79:[56, 75, 14], Operations: ['24-10=14'] Exploring Operation: 56/14=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 56/14=4 Current State: 79:[75, 4], Operations: ['24-10=14', '56/14=4'] Exploring Operation: 75+4=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 9, 42, 54, 30 ]
62
[ "42+30=72", "72/9=8", "54+8=62" ]
Current State: 62:[9, 42, 54, 30], Operations: [] Exploring Operation: 42+30=72, Resulting Numbers: [9, 54, 72] Generated Node #2: [9, 54, 72] from Operation: 42+30=72 Current State: 62:[9, 54, 72], Operations: ['42+30=72'] Exploring Operation: 72/9=8, Resulting Numbers: [54, 8] Generated Node #3: [54, 8] from Operation: 72/9=8 Current State: 62:[54, 8], Operations: ['42+30=72', '72/9=8'] Exploring Operation: 54+8=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 93, 70, 44, 83 ]
16
[ "93-70=23", "83-44=39", "39-23=16" ]
Current State: 16:[93, 70, 44, 83], Operations: [] Exploring Operation: 93-70=23, Resulting Numbers: [44, 83, 23] Generated Node #2: [44, 83, 23] from Operation: 93-70=23 Current State: 16:[44, 83, 23], Operations: ['93-70=23'] Exploring Operation: 83-44=39, Resulting Numbers: [23, 39] Generated Node #3: [23, 39] from Operation: 83-44=39 Current State: 16:[23, 39], Operations: ['93-70=23', '83-44=39'] Exploring Operation: 39-23=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 99, 91, 36, 8 ]
52
[ "99-91=8", "36+8=44", "8+44=52" ]
Current State: 52:[99, 91, 36, 8], Operations: [] Exploring Operation: 99-91=8, Resulting Numbers: [36, 8, 8] Generated Node #2: [36, 8, 8] from Operation: 99-91=8 Current State: 52:[36, 8, 8], Operations: ['99-91=8'] Exploring Operation: 36+8=44, Resulting Numbers: [44] 44,52 equal: Goal Reached Exploring Operation: 8+44=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 78, 92, 43, 64 ]
86
[ "92+64=156", "156/78=2", "43*2=86" ]
Current State: 86:[78, 92, 43, 64], Operations: [] Exploring Operation: 92+64=156, Resulting Numbers: [78, 43, 156] Generated Node #2: [78, 43, 156] from Operation: 92+64=156 Current State: 86:[78, 43, 156], Operations: ['92+64=156'] Exploring Operation: 156/78=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 156/78=2 Current State: 86:[43, 2], Operations: ['92+64=156', '156/78=2'] Exploring Operation: 43*2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 88, 66, 63, 59 ]
100
[ "88-66=22", "63+59=122", "122-22=100" ]
Current State: 100:[88, 66, 63, 59], Operations: [] Exploring Operation: 88-66=22, Resulting Numbers: [63, 59, 22] Generated Node #2: [63, 59, 22] from Operation: 88-66=22 Current State: 100:[63, 59, 22], Operations: ['88-66=22'] Exploring Operation: 63+59=122, Resulting Numbers: [22, 122] Generated Node #3: [22, 122] from Operation: 63+59=122 Current State: 100:[22, 122], Operations: ['88-66=22', '63+59=122'] Exploring Operation: 122-22=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 52, 20, 85, 88 ]
29
[ "52-20=32", "88-85=3", "32-3=29" ]
Current State: 29:[52, 20, 85, 88], Operations: [] Exploring Operation: 52-20=32, Resulting Numbers: [85, 88, 32] Generated Node #2: [85, 88, 32] from Operation: 52-20=32 Current State: 29:[85, 88, 32], Operations: ['52-20=32'] Exploring Operation: 88-85=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 88-85=3 Current State: 29:[32, 3], Operations: ['52-20=32', '88-85=3'] Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 50, 51, 10, 6 ]
97
[ "50+51=101", "10-6=4", "101-4=97" ]
Current State: 97:[50, 51, 10, 6], Operations: [] Exploring Operation: 50+51=101, Resulting Numbers: [10, 6, 101] Generated Node #2: [10, 6, 101] from Operation: 50+51=101 Current State: 97:[10, 6, 101], Operations: ['50+51=101'] Exploring Operation: 10-6=4, Resulting Numbers: [101, 4] Generated Node #3: [101, 4] from Operation: 10-6=4 Current State: 97:[101, 4], Operations: ['50+51=101', '10-6=4'] Exploring Operation: 101-4=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 28, 40, 72, 74 ]
96
[ "74-72=2", "28*2=56", "40+56=96" ]
Current State: 96:[28, 40, 72, 74], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [28, 40, 2] Generated Node #2: [28, 40, 2] from Operation: 74-72=2 Current State: 96:[28, 40, 2], Operations: ['74-72=2'] Exploring Operation: 28*2=56, Resulting Numbers: [40, 56] Generated Node #3: [40, 56] from Operation: 28*2=56 Current State: 96:[40, 56], Operations: ['74-72=2', '28*2=56'] Exploring Operation: 40+56=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 24, 23, 48, 49 ]
97
[ "24-23=1", "48+49=97", "1*97=97" ]
Current State: 97:[24, 23, 48, 49], Operations: [] Exploring Operation: 24-23=1, Resulting Numbers: [48, 49, 1] Generated Node #2: [48, 49, 1] from Operation: 24-23=1 Current State: 97:[48, 49, 1], Operations: ['24-23=1'] Exploring Operation: 48+49=97, Resulting Numbers: [1, 97] Generated Node #3: [1, 97] from Operation: 48+49=97 Current State: 97:[1, 97], Operations: ['24-23=1', '48+49=97'] Exploring Operation: 1*97=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 37, 61, 11, 6 ]
42
[ "61-37=24", "11*6=66", "66-24=42" ]
Current State: 42:[37, 61, 11, 6], Operations: [] Exploring Operation: 61-37=24, Resulting Numbers: [11, 6, 24] Generated Node #2: [11, 6, 24] from Operation: 61-37=24 Current State: 42:[11, 6, 24], Operations: ['61-37=24'] Exploring Operation: 11*6=66, Resulting Numbers: [24, 66] Generated Node #3: [24, 66] from Operation: 11*6=66 Current State: 42:[24, 66], Operations: ['61-37=24', '11*6=66'] Exploring Operation: 66-24=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 13, 33, 16, 38 ]
81
[ "16-13=3", "38*3=114", "114-33=81" ]
Current State: 81:[13, 33, 16, 38], Operations: [] Exploring Operation: 16-13=3, Resulting Numbers: [33, 38, 3] Generated Node #2: [33, 38, 3] from Operation: 16-13=3 Current State: 81:[33, 38, 3], Operations: ['16-13=3'] Exploring Operation: 38*3=114, Resulting Numbers: [33, 114] Generated Node #3: [33, 114] from Operation: 38*3=114 Current State: 81:[33, 114], Operations: ['16-13=3', '38*3=114'] Exploring Operation: 114-33=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 6, 38, 70, 2 ]
88
[ "6*38=228", "70*2=140", "228-140=88" ]
Current State: 88:[6, 38, 70, 2], Operations: [] Exploring Operation: 6*38=228, Resulting Numbers: [70, 2, 228] Generated Node #2: [70, 2, 228] from Operation: 6*38=228 Current State: 88:[70, 2, 228], Operations: ['6*38=228'] Exploring Operation: 70*2=140, Resulting Numbers: [228, 140] Generated Node #3: [228, 140] from Operation: 70*2=140 Current State: 88:[228, 140], Operations: ['6*38=228', '70*2=140'] Exploring Operation: 228-140=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 38, 56, 42, 74 ]
88
[ "42-38=4", "56/4=14", "74+14=88" ]
Current State: 88:[38, 56, 42, 74], Operations: [] Exploring Operation: 42-38=4, Resulting Numbers: [56, 74, 4] Generated Node #2: [56, 74, 4] from Operation: 42-38=4 Current State: 88:[56, 74, 4], Operations: ['42-38=4'] Exploring Operation: 56/4=14, Resulting Numbers: [74, 14] Generated Node #3: [74, 14] from Operation: 56/4=14 Current State: 88:[74, 14], Operations: ['42-38=4', '56/4=14'] Exploring Operation: 74+14=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 36, 10, 19, 98 ]
52
[ "19*98=1862", "10+1862=1872", "1872/36=52" ]
Current State: 52:[36, 10, 19, 98], Operations: [] Exploring Operation: 19*98=1862, Resulting Numbers: [36, 10, 1862] Generated Node #2: [36, 10, 1862] from Operation: 19*98=1862 Current State: 52:[36, 10, 1862], Operations: ['19*98=1862'] Exploring Operation: 10+1862=1872, Resulting Numbers: [36, 1872] Generated Node #3: [36, 1872] from Operation: 10+1862=1872 Current State: 52:[36, 1872], Operations: ['19*98=1862', '10+1862=1872'] Exploring Operation: 1872/36=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 6, 7, 28, 88 ]
74
[ "6*7=42", "28+88=116", "116-42=74" ]
Current State: 74:[6, 7, 28, 88], Operations: [] Exploring Operation: 6*7=42, Resulting Numbers: [28, 88, 42] Generated Node #2: [28, 88, 42] from Operation: 6*7=42 Current State: 74:[28, 88, 42], Operations: ['6*7=42'] Exploring Operation: 28+88=116, Resulting Numbers: [42, 116] Generated Node #3: [42, 116] from Operation: 28+88=116 Current State: 74:[42, 116], Operations: ['6*7=42', '28+88=116'] Exploring Operation: 116-42=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 98, 28, 85, 46 ]
76
[ "98*46=4508", "4508/28=161", "161-85=76" ]
Current State: 76:[98, 28, 85, 46], Operations: [] Exploring Operation: 98*46=4508, Resulting Numbers: [28, 85, 4508] Generated Node #2: [28, 85, 4508] from Operation: 98*46=4508 Current State: 76:[28, 85, 4508], Operations: ['98*46=4508'] Exploring Operation: 4508/28=161, Resulting Numbers: [85, 161] Generated Node #3: [85, 161] from Operation: 4508/28=161 Current State: 76:[85, 161], Operations: ['98*46=4508', '4508/28=161'] Exploring Operation: 161-85=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 64, 96, 40, 2 ]
37
[ "64/2=32", "96/32=3", "40-3=37" ]
Current State: 37:[64, 96, 40, 2], Operations: [] Exploring Operation: 64/2=32, Resulting Numbers: [96, 40, 32] Generated Node #2: [96, 40, 32] from Operation: 64/2=32 Current State: 37:[96, 40, 32], Operations: ['64/2=32'] Exploring Operation: 96/32=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 96/32=3 Current State: 37:[40, 3], Operations: ['64/2=32', '96/32=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 68, 32, 4, 6 ]
36
[ "32-6=26", "4*26=104", "104-68=36" ]
Current State: 36:[68, 32, 4, 6], Operations: [] Exploring Operation: 32-6=26, Resulting Numbers: [68, 4, 26] Generated Node #2: [68, 4, 26] from Operation: 32-6=26 Current State: 36:[68, 4, 26], Operations: ['32-6=26'] Exploring Operation: 4*26=104, Resulting Numbers: [68, 104] Generated Node #3: [68, 104] from Operation: 4*26=104 Current State: 36:[68, 104], Operations: ['32-6=26', '4*26=104'] Exploring Operation: 104-68=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 28, 64, 42, 40 ]
56
[ "64*42=2688", "2688/28=96", "96-40=56" ]
Current State: 56:[28, 64, 42, 40], Operations: [] Exploring Operation: 64*42=2688, Resulting Numbers: [28, 40, 2688] Generated Node #2: [28, 40, 2688] from Operation: 64*42=2688 Current State: 56:[28, 40, 2688], Operations: ['64*42=2688'] Exploring Operation: 2688/28=96, Resulting Numbers: [40, 96] Generated Node #3: [40, 96] from Operation: 2688/28=96 Current State: 56:[40, 96], Operations: ['64*42=2688', '2688/28=96'] Exploring Operation: 96-40=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 40, 42, 64, 30 ]
98
[ "42-40=2", "64*2=128", "128-30=98" ]
Current State: 98:[40, 42, 64, 30], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [64, 30, 2] Generated Node #2: [64, 30, 2] from Operation: 42-40=2 Current State: 98:[64, 30, 2], Operations: ['42-40=2'] Exploring Operation: 64*2=128, Resulting Numbers: [30, 128] Generated Node #3: [30, 128] from Operation: 64*2=128 Current State: 98:[30, 128], Operations: ['42-40=2', '64*2=128'] Exploring Operation: 128-30=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 88, 17, 88, 7 ]
24
[ "88+17=105", "88-7=81", "105-81=24" ]
Current State: 24:[88, 17, 88, 7], Operations: [] Exploring Operation: 88+17=105, Resulting Numbers: [7, 105] Generated Node #2: [7, 105] from Operation: 88+17=105 Current State: 24:[7, 105], Operations: ['88+17=105'] Exploring Operation: 88-7=81, Resulting Numbers: [105, 81] Generated Node #3: [105, 81] from Operation: 88-7=81 Current State: 24:[105, 81], Operations: ['88+17=105', '88-7=81'] Exploring Operation: 105-81=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 31, 25, 79, 50 ]
85
[ "31+25=56", "79-50=29", "56+29=85" ]
Current State: 85:[31, 25, 79, 50], Operations: [] Exploring Operation: 31+25=56, Resulting Numbers: [79, 50, 56] Generated Node #2: [79, 50, 56] from Operation: 31+25=56 Current State: 85:[79, 50, 56], Operations: ['31+25=56'] Exploring Operation: 79-50=29, Resulting Numbers: [56, 29] Generated Node #3: [56, 29] from Operation: 79-50=29 Current State: 85:[56, 29], Operations: ['31+25=56', '79-50=29'] Exploring Operation: 56+29=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 71, 15, 62, 66 ]
11
[ "71-15=56", "62-56=6", "66/6=11" ]
Current State: 11:[71, 15, 62, 66], Operations: [] Exploring Operation: 71-15=56, Resulting Numbers: [62, 66, 56] Generated Node #2: [62, 66, 56] from Operation: 71-15=56 Current State: 11:[62, 66, 56], Operations: ['71-15=56'] Exploring Operation: 62-56=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 62-56=6 Current State: 11:[66, 6], Operations: ['71-15=56', '62-56=6'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 61, 12, 47 ]
60
[ "61+12=73", "47+73=120", "120/2=60" ]
Current State: 60:[2, 61, 12, 47], Operations: [] Exploring Operation: 61+12=73, Resulting Numbers: [2, 47, 73] Generated Node #2: [2, 47, 73] from Operation: 61+12=73 Current State: 60:[2, 47, 73], Operations: ['61+12=73'] Exploring Operation: 47+73=120, Resulting Numbers: [2, 120] Generated Node #3: [2, 120] from Operation: 47+73=120 Current State: 60:[2, 120], Operations: ['61+12=73', '47+73=120'] Exploring Operation: 120/2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 7, 3, 34, 15 ]
68
[ "7*15=105", "3+34=37", "105-37=68" ]
Current State: 68:[7, 3, 34, 15], Operations: [] Exploring Operation: 7*15=105, Resulting Numbers: [3, 34, 105] Generated Node #2: [3, 34, 105] from Operation: 7*15=105 Current State: 68:[3, 34, 105], Operations: ['7*15=105'] Exploring Operation: 3+34=37, Resulting Numbers: [105, 37] Generated Node #3: [105, 37] from Operation: 3+34=37 Current State: 68:[105, 37], Operations: ['7*15=105', '3+34=37'] Exploring Operation: 105-37=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 81, 77, 40, 83 ]
73
[ "81-77=4", "40/4=10", "83-10=73" ]
Current State: 73:[81, 77, 40, 83], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [40, 83, 4] Generated Node #2: [40, 83, 4] from Operation: 81-77=4 Current State: 73:[40, 83, 4], Operations: ['81-77=4'] Exploring Operation: 40/4=10, Resulting Numbers: [83, 10] Generated Node #3: [83, 10] from Operation: 40/4=10 Current State: 73:[83, 10], Operations: ['81-77=4', '40/4=10'] Exploring Operation: 83-10=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 78, 12, 42, 76 ]
28
[ "78+12=90", "42+76=118", "118-90=28" ]
Current State: 28:[78, 12, 42, 76], Operations: [] Exploring Operation: 78+12=90, Resulting Numbers: [42, 76, 90] Generated Node #2: [42, 76, 90] from Operation: 78+12=90 Current State: 28:[42, 76, 90], Operations: ['78+12=90'] Exploring Operation: 42+76=118, Resulting Numbers: [90, 118] Generated Node #3: [90, 118] from Operation: 42+76=118 Current State: 28:[90, 118], Operations: ['78+12=90', '42+76=118'] Exploring Operation: 118-90=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 74, 43, 40, 21 ]
56
[ "74+43=117", "40+21=61", "117-61=56" ]
Current State: 56:[74, 43, 40, 21], Operations: [] Exploring Operation: 74+43=117, Resulting Numbers: [40, 21, 117] Generated Node #2: [40, 21, 117] from Operation: 74+43=117 Current State: 56:[40, 21, 117], Operations: ['74+43=117'] Exploring Operation: 40+21=61, Resulting Numbers: [117, 61] Generated Node #3: [117, 61] from Operation: 40+21=61 Current State: 56:[117, 61], Operations: ['74+43=117', '40+21=61'] Exploring Operation: 117-61=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 52, 5, 83, 45 ]
95
[ "52+5=57", "83-45=38", "57+38=95" ]
Current State: 95:[52, 5, 83, 45], Operations: [] Exploring Operation: 52+5=57, Resulting Numbers: [83, 45, 57] Generated Node #2: [83, 45, 57] from Operation: 52+5=57 Current State: 95:[83, 45, 57], Operations: ['52+5=57'] Exploring Operation: 83-45=38, Resulting Numbers: [57, 38] Generated Node #3: [57, 38] from Operation: 83-45=38 Current State: 95:[57, 38], Operations: ['52+5=57', '83-45=38'] Exploring Operation: 57+38=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 58, 69, 13, 33 ]
57
[ "69-58=11", "13+33=46", "11+46=57" ]
Current State: 57:[58, 69, 13, 33], Operations: [] Exploring Operation: 69-58=11, Resulting Numbers: [13, 33, 11] Generated Node #2: [13, 33, 11] from Operation: 69-58=11 Current State: 57:[13, 33, 11], Operations: ['69-58=11'] Exploring Operation: 13+33=46, Resulting Numbers: [11, 46] Generated Node #3: [11, 46] from Operation: 13+33=46 Current State: 57:[11, 46], Operations: ['69-58=11', '13+33=46'] Exploring Operation: 11+46=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 40, 40, 64, 20 ]
48
[ "64-40=24", "40/20=2", "24*2=48" ]
Current State: 48:[40, 40, 64, 20], Operations: [] Exploring Operation: 64-40=24, Resulting Numbers: [20, 24] Generated Node #2: [20, 24] from Operation: 64-40=24 Current State: 48:[20, 24], Operations: ['64-40=24'] Exploring Operation: 40/20=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 40/20=2 Current State: 48:[24, 2], Operations: ['64-40=24', '40/20=2'] Exploring Operation: 24*2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 79, 3, 39, 72 ]
42
[ "39+72=111", "111/3=37", "79-37=42" ]
Current State: 42:[79, 3, 39, 72], Operations: [] Exploring Operation: 39+72=111, Resulting Numbers: [79, 3, 111] Generated Node #2: [79, 3, 111] from Operation: 39+72=111 Current State: 42:[79, 3, 111], Operations: ['39+72=111'] Exploring Operation: 111/3=37, Resulting Numbers: [79, 37] Generated Node #3: [79, 37] from Operation: 111/3=37 Current State: 42:[79, 37], Operations: ['39+72=111', '111/3=37'] Exploring Operation: 79-37=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 72, 54, 64, 80 ]
44
[ "72-64=8", "80/8=10", "54-10=44" ]
Current State: 44:[72, 54, 64, 80], Operations: [] Exploring Operation: 72-64=8, Resulting Numbers: [54, 80, 8] Generated Node #2: [54, 80, 8] from Operation: 72-64=8 Current State: 44:[54, 80, 8], Operations: ['72-64=8'] Exploring Operation: 80/8=10, Resulting Numbers: [54, 10] Generated Node #3: [54, 10] from Operation: 80/8=10 Current State: 44:[54, 10], Operations: ['72-64=8', '80/8=10'] Exploring Operation: 54-10=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 92, 9, 89, 25 ]
22
[ "92-89=3", "9/3=3", "25-3=22" ]
Current State: 22:[92, 9, 89, 25], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [9, 25, 3] Generated Node #2: [9, 25, 3] from Operation: 92-89=3 Current State: 22:[9, 25, 3], Operations: ['92-89=3'] Exploring Operation: 9/3=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 9/3=3 Current State: 22:[25, 3], Operations: ['92-89=3', '9/3=3'] Exploring Operation: 25-3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 57, 81, 84, 15 ]
52
[ "84-81=3", "15/3=5", "57-5=52" ]
Current State: 52:[57, 81, 84, 15], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [57, 15, 3] Generated Node #2: [57, 15, 3] from Operation: 84-81=3 Current State: 52:[57, 15, 3], Operations: ['84-81=3'] Exploring Operation: 15/3=5, Resulting Numbers: [57, 5] Generated Node #3: [57, 5] from Operation: 15/3=5 Current State: 52:[57, 5], Operations: ['84-81=3', '15/3=5'] Exploring Operation: 57-5=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 38, 60, 7, 98 ]
84
[ "38+60=98", "98/7=14", "98-14=84" ]
Current State: 84:[38, 60, 7, 98], Operations: [] Exploring Operation: 38+60=98, Resulting Numbers: [7, 98, 98] Generated Node #2: [7, 98, 98] from Operation: 38+60=98 Current State: 84:[7, 98, 98], Operations: ['38+60=98'] Exploring Operation: 98/7=14, Resulting Numbers: [14] 14,84 equal: Goal Reached Exploring Operation: 98-14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 55, 68, 93, 59 ]
100
[ "59-55=4", "93-68=25", "4*25=100" ]
Current State: 100:[55, 68, 93, 59], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [68, 93, 4] Generated Node #2: [68, 93, 4] from Operation: 59-55=4 Current State: 100:[68, 93, 4], Operations: ['59-55=4'] Exploring Operation: 93-68=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 93-68=25 Current State: 100:[4, 25], Operations: ['59-55=4', '93-68=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 73, 48, 93, 65 ]
99
[ "73-65=8", "48/8=6", "93+6=99" ]
Current State: 99:[73, 48, 93, 65], Operations: [] Exploring Operation: 73-65=8, Resulting Numbers: [48, 93, 8] Generated Node #2: [48, 93, 8] from Operation: 73-65=8 Current State: 99:[48, 93, 8], Operations: ['73-65=8'] Exploring Operation: 48/8=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 48/8=6 Current State: 99:[93, 6], Operations: ['73-65=8', '48/8=6'] Exploring Operation: 93+6=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 38, 34, 58, 86 ]
32
[ "38-34=4", "86-58=28", "4+28=32" ]
Current State: 32:[38, 34, 58, 86], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [58, 86, 4] Generated Node #2: [58, 86, 4] from Operation: 38-34=4 Current State: 32:[58, 86, 4], Operations: ['38-34=4'] Exploring Operation: 86-58=28, Resulting Numbers: [4, 28] Generated Node #3: [4, 28] from Operation: 86-58=28 Current State: 32:[4, 28], Operations: ['38-34=4', '86-58=28'] Exploring Operation: 4+28=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 4, 22, 38, 2 ]
33
[ "22-2=20", "20/4=5", "38-5=33" ]
Current State: 33:[4, 22, 38, 2], Operations: [] Exploring Operation: 22-2=20, Resulting Numbers: [4, 38, 20] Generated Node #2: [4, 38, 20] from Operation: 22-2=20 Current State: 33:[4, 38, 20], Operations: ['22-2=20'] Exploring Operation: 20/4=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 20/4=5 Current State: 33:[38, 5], Operations: ['22-2=20', '20/4=5'] Exploring Operation: 38-5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 22, 32, 38, 42 ]
29
[ "38-32=6", "42/6=7", "22+7=29" ]
Current State: 29:[22, 32, 38, 42], Operations: [] Exploring Operation: 38-32=6, Resulting Numbers: [22, 42, 6] Generated Node #2: [22, 42, 6] from Operation: 38-32=6 Current State: 29:[22, 42, 6], Operations: ['38-32=6'] Exploring Operation: 42/6=7, Resulting Numbers: [22, 7] Generated Node #3: [22, 7] from Operation: 42/6=7 Current State: 29:[22, 7], Operations: ['38-32=6', '42/6=7'] Exploring Operation: 22+7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 78, 18, 6, 22 ]
26
[ "78-6=72", "72/18=4", "22+4=26" ]
Current State: 26:[78, 18, 6, 22], Operations: [] Exploring Operation: 78-6=72, Resulting Numbers: [18, 22, 72] Generated Node #2: [18, 22, 72] from Operation: 78-6=72 Current State: 26:[18, 22, 72], Operations: ['78-6=72'] Exploring Operation: 72/18=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 72/18=4 Current State: 26:[22, 4], Operations: ['78-6=72', '72/18=4'] Exploring Operation: 22+4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 39, 31, 95, 25 ]
62
[ "39-31=8", "95-25=70", "70-8=62" ]
Current State: 62:[39, 31, 95, 25], Operations: [] Exploring Operation: 39-31=8, Resulting Numbers: [95, 25, 8] Generated Node #2: [95, 25, 8] from Operation: 39-31=8 Current State: 62:[95, 25, 8], Operations: ['39-31=8'] Exploring Operation: 95-25=70, Resulting Numbers: [8, 70] Generated Node #3: [8, 70] from Operation: 95-25=70 Current State: 62:[8, 70], Operations: ['39-31=8', '95-25=70'] Exploring Operation: 70-8=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 6, 43, 23, 62 ]
76
[ "43-6=37", "62-23=39", "37+39=76" ]
Current State: 76:[6, 43, 23, 62], Operations: [] Exploring Operation: 43-6=37, Resulting Numbers: [23, 62, 37] Generated Node #2: [23, 62, 37] from Operation: 43-6=37 Current State: 76:[23, 62, 37], Operations: ['43-6=37'] Exploring Operation: 62-23=39, Resulting Numbers: [37, 39] Generated Node #3: [37, 39] from Operation: 62-23=39 Current State: 76:[37, 39], Operations: ['43-6=37', '62-23=39'] Exploring Operation: 37+39=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 45, 16, 2, 41 ]
72
[ "45-16=29", "2+41=43", "29+43=72" ]
Current State: 72:[45, 16, 2, 41], Operations: [] Exploring Operation: 45-16=29, Resulting Numbers: [2, 41, 29] Generated Node #2: [2, 41, 29] from Operation: 45-16=29 Current State: 72:[2, 41, 29], Operations: ['45-16=29'] Exploring Operation: 2+41=43, Resulting Numbers: [29, 43] Generated Node #3: [29, 43] from Operation: 2+41=43 Current State: 72:[29, 43], Operations: ['45-16=29', '2+41=43'] Exploring Operation: 29+43=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 48, 92, 82, 80 ]
42
[ "92-48=44", "82-80=2", "44-2=42" ]
Current State: 42:[48, 92, 82, 80], Operations: [] Exploring Operation: 92-48=44, Resulting Numbers: [82, 80, 44] Generated Node #2: [82, 80, 44] from Operation: 92-48=44 Current State: 42:[82, 80, 44], Operations: ['92-48=44'] Exploring Operation: 82-80=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 82-80=2 Current State: 42:[44, 2], Operations: ['92-48=44', '82-80=2'] Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 70, 69, 65, 26 ]
38
[ "70-69=1", "65-26=39", "39-1=38" ]
Current State: 38:[70, 69, 65, 26], Operations: [] Exploring Operation: 70-69=1, Resulting Numbers: [65, 26, 1] Generated Node #2: [65, 26, 1] from Operation: 70-69=1 Current State: 38:[65, 26, 1], Operations: ['70-69=1'] Exploring Operation: 65-26=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 65-26=39 Current State: 38:[1, 39], Operations: ['70-69=1', '65-26=39'] Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 79, 82, 22, 79 ]
60
[ "79+82=161", "22+79=101", "161-101=60" ]
Current State: 60:[79, 82, 22, 79], Operations: [] Exploring Operation: 79+82=161, Resulting Numbers: [22, 161] Generated Node #2: [22, 161] from Operation: 79+82=161 Current State: 60:[22, 161], Operations: ['79+82=161'] Exploring Operation: 22+79=101, Resulting Numbers: [161, 101] Generated Node #3: [161, 101] from Operation: 22+79=101 Current State: 60:[161, 101], Operations: ['79+82=161', '22+79=101'] Exploring Operation: 161-101=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 19, 72, 26, 64 ]
36
[ "19*72=1368", "64-26=38", "1368/38=36" ]
Current State: 36:[19, 72, 26, 64], Operations: [] Exploring Operation: 19*72=1368, Resulting Numbers: [26, 64, 1368] Generated Node #2: [26, 64, 1368] from Operation: 19*72=1368 Current State: 36:[26, 64, 1368], Operations: ['19*72=1368'] Exploring Operation: 64-26=38, Resulting Numbers: [1368, 38] Generated Node #3: [1368, 38] from Operation: 64-26=38 Current State: 36:[1368, 38], Operations: ['19*72=1368', '64-26=38'] Exploring Operation: 1368/38=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 43, 10, 10, 39 ]
43
[ "10-10=0", "39*0=0", "43+0=43" ]
Current State: 43:[43, 10, 10, 39], Operations: [] Exploring Operation: 10-10=0, Resulting Numbers: [43, 39, 0] Generated Node #2: [43, 39, 0] from Operation: 10-10=0 Current State: 43:[43, 39, 0], Operations: ['10-10=0'] Exploring Operation: 39*0=0, Resulting Numbers: [43, 0] Generated Node #3: [43, 0] from Operation: 39*0=0 Current State: 43:[43, 0], Operations: ['10-10=0', '39*0=0'] Exploring Operation: 43+0=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 13, 26, 12, 82 ]
100
[ "13*12=156", "82-26=56", "156-56=100" ]
Current State: 100:[13, 26, 12, 82], Operations: [] Exploring Operation: 13*12=156, Resulting Numbers: [26, 82, 156] Generated Node #2: [26, 82, 156] from Operation: 13*12=156 Current State: 100:[26, 82, 156], Operations: ['13*12=156'] Exploring Operation: 82-26=56, Resulting Numbers: [156, 56] Generated Node #3: [156, 56] from Operation: 82-26=56 Current State: 100:[156, 56], Operations: ['13*12=156', '82-26=56'] Exploring Operation: 156-56=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 46, 14, 2, 24 ]
21
[ "46+24=70", "70/2=35", "35-14=21" ]
Current State: 21:[46, 14, 2, 24], Operations: [] Exploring Operation: 46+24=70, Resulting Numbers: [14, 2, 70] Generated Node #2: [14, 2, 70] from Operation: 46+24=70 Current State: 21:[14, 2, 70], Operations: ['46+24=70'] Exploring Operation: 70/2=35, Resulting Numbers: [14, 35] Generated Node #3: [14, 35] from Operation: 70/2=35 Current State: 21:[14, 35], Operations: ['46+24=70', '70/2=35'] Exploring Operation: 35-14=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 78, 4, 51, 59 ]
39
[ "78*4=312", "59-51=8", "312/8=39" ]
Current State: 39:[78, 4, 51, 59], Operations: [] Exploring Operation: 78*4=312, Resulting Numbers: [51, 59, 312] Generated Node #2: [51, 59, 312] from Operation: 78*4=312 Current State: 39:[51, 59, 312], Operations: ['78*4=312'] Exploring Operation: 59-51=8, Resulting Numbers: [312, 8] Generated Node #3: [312, 8] from Operation: 59-51=8 Current State: 39:[312, 8], Operations: ['78*4=312', '59-51=8'] Exploring Operation: 312/8=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 21, 35, 68, 66 ]
16
[ "35-21=14", "68-66=2", "14+2=16" ]
Current State: 16:[21, 35, 68, 66], Operations: [] Exploring Operation: 35-21=14, Resulting Numbers: [68, 66, 14] Generated Node #2: [68, 66, 14] from Operation: 35-21=14 Current State: 16:[68, 66, 14], Operations: ['35-21=14'] Exploring Operation: 68-66=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 68-66=2 Current State: 16:[14, 2], Operations: ['35-21=14', '68-66=2'] Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 6, 20, 65, 97 ]
46
[ "20-6=14", "97-65=32", "14+32=46" ]
Current State: 46:[6, 20, 65, 97], Operations: [] Exploring Operation: 20-6=14, Resulting Numbers: [65, 97, 14] Generated Node #2: [65, 97, 14] from Operation: 20-6=14 Current State: 46:[65, 97, 14], Operations: ['20-6=14'] Exploring Operation: 97-65=32, Resulting Numbers: [14, 32] Generated Node #3: [14, 32] from Operation: 97-65=32 Current State: 46:[14, 32], Operations: ['20-6=14', '97-65=32'] Exploring Operation: 14+32=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 7, 7, 41, 81 ]
26
[ "7+7=14", "81-41=40", "40-14=26" ]
Current State: 26:[7, 7, 41, 81], Operations: [] Exploring Operation: 7+7=14, Resulting Numbers: [41, 81, 14] Generated Node #2: [41, 81, 14] from Operation: 7+7=14 Current State: 26:[41, 81, 14], Operations: ['7+7=14'] Exploring Operation: 81-41=40, Resulting Numbers: [14, 40] Generated Node #3: [14, 40] from Operation: 81-41=40 Current State: 26:[14, 40], Operations: ['7+7=14', '81-41=40'] Exploring Operation: 40-14=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 41, 15, 91, 42 ]
75
[ "41-15=26", "91-42=49", "26+49=75" ]
Current State: 75:[41, 15, 91, 42], Operations: [] Exploring Operation: 41-15=26, Resulting Numbers: [91, 42, 26] Generated Node #2: [91, 42, 26] from Operation: 41-15=26 Current State: 75:[91, 42, 26], Operations: ['41-15=26'] Exploring Operation: 91-42=49, Resulting Numbers: [26, 49] Generated Node #3: [26, 49] from Operation: 91-42=49 Current State: 75:[26, 49], Operations: ['41-15=26', '91-42=49'] Exploring Operation: 26+49=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 44, 10, 54, 33 ]
56
[ "44-33=11", "10*11=110", "110-54=56" ]
Current State: 56:[44, 10, 54, 33], Operations: [] Exploring Operation: 44-33=11, Resulting Numbers: [10, 54, 11] Generated Node #2: [10, 54, 11] from Operation: 44-33=11 Current State: 56:[10, 54, 11], Operations: ['44-33=11'] Exploring Operation: 10*11=110, Resulting Numbers: [54, 110] Generated Node #3: [54, 110] from Operation: 10*11=110 Current State: 56:[54, 110], Operations: ['44-33=11', '10*11=110'] Exploring Operation: 110-54=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 90, 11, 28, 38 ]
96
[ "28+38=66", "66/11=6", "90+6=96" ]
Current State: 96:[90, 11, 28, 38], Operations: [] Exploring Operation: 28+38=66, Resulting Numbers: [90, 11, 66] Generated Node #2: [90, 11, 66] from Operation: 28+38=66 Current State: 96:[90, 11, 66], Operations: ['28+38=66'] Exploring Operation: 66/11=6, Resulting Numbers: [90, 6] Generated Node #3: [90, 6] from Operation: 66/11=6 Current State: 96:[90, 6], Operations: ['28+38=66', '66/11=6'] Exploring Operation: 90+6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 96, 70, 72, 28 ]
70
[ "96-70=26", "72-28=44", "26+44=70" ]
Current State: 70:[96, 70, 72, 28], Operations: [] Exploring Operation: 96-70=26, Resulting Numbers: [72, 28, 26] Generated Node #2: [72, 28, 26] from Operation: 96-70=26 Current State: 70:[72, 28, 26], Operations: ['96-70=26'] Exploring Operation: 72-28=44, Resulting Numbers: [26, 44] Generated Node #3: [26, 44] from Operation: 72-28=44 Current State: 70:[26, 44], Operations: ['96-70=26', '72-28=44'] Exploring Operation: 26+44=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 80, 95, 33, 97 ]
76
[ "97-33=64", "95*64=6080", "6080/80=76" ]
Current State: 76:[80, 95, 33, 97], Operations: [] Exploring Operation: 97-33=64, Resulting Numbers: [80, 95, 64] Generated Node #2: [80, 95, 64] from Operation: 97-33=64 Current State: 76:[80, 95, 64], Operations: ['97-33=64'] Exploring Operation: 95*64=6080, Resulting Numbers: [80, 6080] Generated Node #3: [80, 6080] from Operation: 95*64=6080 Current State: 76:[80, 6080], Operations: ['97-33=64', '95*64=6080'] Exploring Operation: 6080/80=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 39, 9, 26, 8 ]
45
[ "39-26=13", "13-8=5", "9*5=45" ]
Current State: 45:[39, 9, 26, 8], Operations: [] Exploring Operation: 39-26=13, Resulting Numbers: [9, 8, 13] Generated Node #2: [9, 8, 13] from Operation: 39-26=13 Current State: 45:[9, 8, 13], Operations: ['39-26=13'] Exploring Operation: 13-8=5, Resulting Numbers: [9, 5] Generated Node #3: [9, 5] from Operation: 13-8=5 Current State: 45:[9, 5], Operations: ['39-26=13', '13-8=5'] Exploring Operation: 9*5=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 66, 75, 16, 81 ]
63
[ "75-66=9", "16*9=144", "144-81=63" ]
Current State: 63:[66, 75, 16, 81], Operations: [] Exploring Operation: 75-66=9, Resulting Numbers: [16, 81, 9] Generated Node #2: [16, 81, 9] from Operation: 75-66=9 Current State: 63:[16, 81, 9], Operations: ['75-66=9'] Exploring Operation: 16*9=144, Resulting Numbers: [81, 144] Generated Node #3: [81, 144] from Operation: 16*9=144 Current State: 63:[81, 144], Operations: ['75-66=9', '16*9=144'] Exploring Operation: 144-81=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 24, 80, 31, 13 ]
11
[ "31-24=7", "13*7=91", "91-80=11" ]
Current State: 11:[24, 80, 31, 13], Operations: [] Exploring Operation: 31-24=7, Resulting Numbers: [80, 13, 7] Generated Node #2: [80, 13, 7] from Operation: 31-24=7 Current State: 11:[80, 13, 7], Operations: ['31-24=7'] Exploring Operation: 13*7=91, Resulting Numbers: [80, 91] Generated Node #3: [80, 91] from Operation: 13*7=91 Current State: 11:[80, 91], Operations: ['31-24=7', '13*7=91'] Exploring Operation: 91-80=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 9, 51, 12, 33 ]
87
[ "51-9=42", "12+33=45", "42+45=87" ]
Current State: 87:[9, 51, 12, 33], Operations: [] Exploring Operation: 51-9=42, Resulting Numbers: [12, 33, 42] Generated Node #2: [12, 33, 42] from Operation: 51-9=42 Current State: 87:[12, 33, 42], Operations: ['51-9=42'] Exploring Operation: 12+33=45, Resulting Numbers: [42, 45] Generated Node #3: [42, 45] from Operation: 12+33=45 Current State: 87:[42, 45], Operations: ['51-9=42', '12+33=45'] Exploring Operation: 42+45=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 38, 19, 6, 24 ]
20
[ "38/19=2", "24-6=18", "2+18=20" ]
Current State: 20:[38, 19, 6, 24], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [6, 24, 2] Generated Node #2: [6, 24, 2] from Operation: 38/19=2 Current State: 20:[6, 24, 2], Operations: ['38/19=2'] Exploring Operation: 24-6=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 24-6=18 Current State: 20:[2, 18], Operations: ['38/19=2', '24-6=18'] Exploring Operation: 2+18=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 45, 14, 47, 66 ]
47
[ "47-45=2", "66/2=33", "14+33=47" ]
Current State: 47:[45, 14, 47, 66], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [14, 66, 2] Generated Node #2: [14, 66, 2] from Operation: 47-45=2 Current State: 47:[14, 66, 2], Operations: ['47-45=2'] Exploring Operation: 66/2=33, Resulting Numbers: [14, 33] Generated Node #3: [14, 33] from Operation: 66/2=33 Current State: 47:[14, 33], Operations: ['47-45=2', '66/2=33'] Exploring Operation: 14+33=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 91, 25, 72, 85 ]
32
[ "85-72=13", "91/13=7", "25+7=32" ]
Current State: 32:[91, 25, 72, 85], Operations: [] Exploring Operation: 85-72=13, Resulting Numbers: [91, 25, 13] Generated Node #2: [91, 25, 13] from Operation: 85-72=13 Current State: 32:[91, 25, 13], Operations: ['85-72=13'] Exploring Operation: 91/13=7, Resulting Numbers: [25, 7] Generated Node #3: [25, 7] from Operation: 91/13=7 Current State: 32:[25, 7], Operations: ['85-72=13', '91/13=7'] Exploring Operation: 25+7=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 53, 2, 13, 48 ]
86
[ "53-2=51", "48-13=35", "51+35=86" ]
Current State: 86:[53, 2, 13, 48], Operations: [] Exploring Operation: 53-2=51, Resulting Numbers: [13, 48, 51] Generated Node #2: [13, 48, 51] from Operation: 53-2=51 Current State: 86:[13, 48, 51], Operations: ['53-2=51'] Exploring Operation: 48-13=35, Resulting Numbers: [51, 35] Generated Node #3: [51, 35] from Operation: 48-13=35 Current State: 86:[51, 35], Operations: ['53-2=51', '48-13=35'] Exploring Operation: 51+35=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 72, 38, 15, 84 ]
65
[ "72-38=34", "15+84=99", "99-34=65" ]
Current State: 65:[72, 38, 15, 84], Operations: [] Exploring Operation: 72-38=34, Resulting Numbers: [15, 84, 34] Generated Node #2: [15, 84, 34] from Operation: 72-38=34 Current State: 65:[15, 84, 34], Operations: ['72-38=34'] Exploring Operation: 15+84=99, Resulting Numbers: [34, 99] Generated Node #3: [34, 99] from Operation: 15+84=99 Current State: 65:[34, 99], Operations: ['72-38=34', '15+84=99'] Exploring Operation: 99-34=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 40, 7, 61, 58 ]
11
[ "40-7=33", "61-58=3", "33/3=11" ]
Current State: 11:[40, 7, 61, 58], Operations: [] Exploring Operation: 40-7=33, Resulting Numbers: [61, 58, 33] Generated Node #2: [61, 58, 33] from Operation: 40-7=33 Current State: 11:[61, 58, 33], Operations: ['40-7=33'] Exploring Operation: 61-58=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 61-58=3 Current State: 11:[33, 3], Operations: ['40-7=33', '61-58=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 7, 85, 28, 21 ]
29
[ "85-7=78", "28+21=49", "78-49=29" ]
Current State: 29:[7, 85, 28, 21], Operations: [] Exploring Operation: 85-7=78, Resulting Numbers: [28, 21, 78] Generated Node #2: [28, 21, 78] from Operation: 85-7=78 Current State: 29:[28, 21, 78], Operations: ['85-7=78'] Exploring Operation: 28+21=49, Resulting Numbers: [78, 49] Generated Node #3: [78, 49] from Operation: 28+21=49 Current State: 29:[78, 49], Operations: ['85-7=78', '28+21=49'] Exploring Operation: 78-49=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 71, 79, 79, 26 ]
71
[ "79-79=0", "26*0=0", "71+0=71" ]
Current State: 71:[71, 79, 79, 26], Operations: [] Exploring Operation: 79-79=0, Resulting Numbers: [71, 26, 0] Generated Node #2: [71, 26, 0] from Operation: 79-79=0 Current State: 71:[71, 26, 0], Operations: ['79-79=0'] Exploring Operation: 26*0=0, Resulting Numbers: [71, 0] Generated Node #3: [71, 0] from Operation: 26*0=0 Current State: 71:[71, 0], Operations: ['79-79=0', '26*0=0'] Exploring Operation: 71+0=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 32, 95, 2, 36 ]
80
[ "32*95=3040", "2+36=38", "3040/38=80" ]
Current State: 80:[32, 95, 2, 36], Operations: [] Exploring Operation: 32*95=3040, Resulting Numbers: [2, 36, 3040] Generated Node #2: [2, 36, 3040] from Operation: 32*95=3040 Current State: 80:[2, 36, 3040], Operations: ['32*95=3040'] Exploring Operation: 2+36=38, Resulting Numbers: [3040, 38] Generated Node #3: [3040, 38] from Operation: 2+36=38 Current State: 80:[3040, 38], Operations: ['32*95=3040', '2+36=38'] Exploring Operation: 3040/38=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 30, 80, 38, 40 ]
22
[ "30*80=2400", "2400/40=60", "60-38=22" ]
Current State: 22:[30, 80, 38, 40], Operations: [] Exploring Operation: 30*80=2400, Resulting Numbers: [38, 40, 2400] Generated Node #2: [38, 40, 2400] from Operation: 30*80=2400 Current State: 22:[38, 40, 2400], Operations: ['30*80=2400'] Exploring Operation: 2400/40=60, Resulting Numbers: [38, 60] Generated Node #3: [38, 60] from Operation: 2400/40=60 Current State: 22:[38, 60], Operations: ['30*80=2400', '2400/40=60'] Exploring Operation: 60-38=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 34, 2, 86, 33 ]
86
[ "34-2=32", "33-32=1", "86*1=86" ]
Current State: 86:[34, 2, 86, 33], Operations: [] Exploring Operation: 34-2=32, Resulting Numbers: [86, 33, 32] Generated Node #2: [86, 33, 32] from Operation: 34-2=32 Current State: 86:[86, 33, 32], Operations: ['34-2=32'] Exploring Operation: 33-32=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 33-32=1 Current State: 86:[86, 1], Operations: ['34-2=32', '33-32=1'] Exploring Operation: 86*1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 94, 95, 11, 82 ]
72
[ "95-94=1", "82-11=71", "1+71=72" ]
Current State: 72:[94, 95, 11, 82], Operations: [] Exploring Operation: 95-94=1, Resulting Numbers: [11, 82, 1] Generated Node #2: [11, 82, 1] from Operation: 95-94=1 Current State: 72:[11, 82, 1], Operations: ['95-94=1'] Exploring Operation: 82-11=71, Resulting Numbers: [1, 71] Generated Node #3: [1, 71] from Operation: 82-11=71 Current State: 72:[1, 71], Operations: ['95-94=1', '82-11=71'] Exploring Operation: 1+71=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 47, 54, 48, 50 ]
99
[ "47+54=101", "50-48=2", "101-2=99" ]
Current State: 99:[47, 54, 48, 50], Operations: [] Exploring Operation: 47+54=101, Resulting Numbers: [48, 50, 101] Generated Node #2: [48, 50, 101] from Operation: 47+54=101 Current State: 99:[48, 50, 101], Operations: ['47+54=101'] Exploring Operation: 50-48=2, Resulting Numbers: [101, 2] Generated Node #3: [101, 2] from Operation: 50-48=2 Current State: 99:[101, 2], Operations: ['47+54=101', '50-48=2'] Exploring Operation: 101-2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 90, 76, 2, 1 ]
64
[ "76+1=77", "2*77=154", "154-90=64" ]
Current State: 64:[90, 76, 2, 1], Operations: [] Exploring Operation: 76+1=77, Resulting Numbers: [90, 2, 77] Generated Node #2: [90, 2, 77] from Operation: 76+1=77 Current State: 64:[90, 2, 77], Operations: ['76+1=77'] Exploring Operation: 2*77=154, Resulting Numbers: [90, 154] Generated Node #3: [90, 154] from Operation: 2*77=154 Current State: 64:[90, 154], Operations: ['76+1=77', '2*77=154'] Exploring Operation: 154-90=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 73, 86, 42, 75 ]
22
[ "75-73=2", "86-42=44", "44/2=22" ]
Current State: 22:[73, 86, 42, 75], Operations: [] Exploring Operation: 75-73=2, Resulting Numbers: [86, 42, 2] Generated Node #2: [86, 42, 2] from Operation: 75-73=2 Current State: 22:[86, 42, 2], Operations: ['75-73=2'] Exploring Operation: 86-42=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 86-42=44 Current State: 22:[2, 44], Operations: ['75-73=2', '86-42=44'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 6, 63, 95, 70 ]
94
[ "6+63=69", "95-70=25", "69+25=94" ]
Current State: 94:[6, 63, 95, 70], Operations: [] Exploring Operation: 6+63=69, Resulting Numbers: [95, 70, 69] Generated Node #2: [95, 70, 69] from Operation: 6+63=69 Current State: 94:[95, 70, 69], Operations: ['6+63=69'] Exploring Operation: 95-70=25, Resulting Numbers: [69, 25] Generated Node #3: [69, 25] from Operation: 95-70=25 Current State: 94:[69, 25], Operations: ['6+63=69', '95-70=25'] Exploring Operation: 69+25=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 76, 84, 34, 65 ]
39
[ "84-76=8", "65-34=31", "8+31=39" ]
Current State: 39:[76, 84, 34, 65], Operations: [] Exploring Operation: 84-76=8, Resulting Numbers: [34, 65, 8] Generated Node #2: [34, 65, 8] from Operation: 84-76=8 Current State: 39:[34, 65, 8], Operations: ['84-76=8'] Exploring Operation: 65-34=31, Resulting Numbers: [8, 31] Generated Node #3: [8, 31] from Operation: 65-34=31 Current State: 39:[8, 31], Operations: ['84-76=8', '65-34=31'] Exploring Operation: 8+31=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 42, 54, 95, 14 ]
15
[ "42+54=96", "95-14=81", "96-81=15" ]
Current State: 15:[42, 54, 95, 14], Operations: [] Exploring Operation: 42+54=96, Resulting Numbers: [95, 14, 96] Generated Node #2: [95, 14, 96] from Operation: 42+54=96 Current State: 15:[95, 14, 96], Operations: ['42+54=96'] Exploring Operation: 95-14=81, Resulting Numbers: [96, 81] Generated Node #3: [96, 81] from Operation: 95-14=81 Current State: 15:[96, 81], Operations: ['42+54=96', '95-14=81'] Exploring Operation: 96-81=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 2, 88, 62, 89 ]
34
[ "89-62=27", "2*27=54", "88-54=34" ]
Current State: 34:[2, 88, 62, 89], Operations: [] Exploring Operation: 89-62=27, Resulting Numbers: [2, 88, 27] Generated Node #2: [2, 88, 27] from Operation: 89-62=27 Current State: 34:[2, 88, 27], Operations: ['89-62=27'] Exploring Operation: 2*27=54, Resulting Numbers: [88, 54] Generated Node #3: [88, 54] from Operation: 2*27=54 Current State: 34:[88, 54], Operations: ['89-62=27', '2*27=54'] Exploring Operation: 88-54=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 63, 60, 43, 53 ]
30
[ "63-60=3", "53-43=10", "3*10=30" ]
Current State: 30:[63, 60, 43, 53], Operations: [] Exploring Operation: 63-60=3, Resulting Numbers: [43, 53, 3] Generated Node #2: [43, 53, 3] from Operation: 63-60=3 Current State: 30:[43, 53, 3], Operations: ['63-60=3'] Exploring Operation: 53-43=10, Resulting Numbers: [3, 10] Generated Node #3: [3, 10] from Operation: 53-43=10 Current State: 30:[3, 10], Operations: ['63-60=3', '53-43=10'] Exploring Operation: 3*10=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 32, 44, 29, 85 ]
20
[ "32+44=76", "85-29=56", "76-56=20" ]
Current State: 20:[32, 44, 29, 85], Operations: [] Exploring Operation: 32+44=76, Resulting Numbers: [29, 85, 76] Generated Node #2: [29, 85, 76] from Operation: 32+44=76 Current State: 20:[29, 85, 76], Operations: ['32+44=76'] Exploring Operation: 85-29=56, Resulting Numbers: [76, 56] Generated Node #3: [76, 56] from Operation: 85-29=56 Current State: 20:[76, 56], Operations: ['32+44=76', '85-29=56'] Exploring Operation: 76-56=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 45, 80, 74, 19 ]
69
[ "80-74=6", "19*6=114", "114-45=69" ]
Current State: 69:[45, 80, 74, 19], Operations: [] Exploring Operation: 80-74=6, Resulting Numbers: [45, 19, 6] Generated Node #2: [45, 19, 6] from Operation: 80-74=6 Current State: 69:[45, 19, 6], Operations: ['80-74=6'] Exploring Operation: 19*6=114, Resulting Numbers: [45, 114] Generated Node #3: [45, 114] from Operation: 19*6=114 Current State: 69:[45, 114], Operations: ['80-74=6', '19*6=114'] Exploring Operation: 114-45=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 35, 11, 27, 18 ]
41
[ "27*18=486", "486-35=451", "451/11=41" ]
Current State: 41:[35, 11, 27, 18], Operations: [] Exploring Operation: 27*18=486, Resulting Numbers: [35, 11, 486] Generated Node #2: [35, 11, 486] from Operation: 27*18=486 Current State: 41:[35, 11, 486], Operations: ['27*18=486'] Exploring Operation: 486-35=451, Resulting Numbers: [11, 451] Generated Node #3: [11, 451] from Operation: 486-35=451 Current State: 41:[11, 451], Operations: ['27*18=486', '486-35=451'] Exploring Operation: 451/11=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 42, 96, 67, 54 ]
67
[ "96-42=54", "67+54=121", "121-54=67" ]
Current State: 67:[42, 96, 67, 54], Operations: [] Exploring Operation: 96-42=54, Resulting Numbers: [67, 54, 54] Generated Node #2: [67, 54, 54] from Operation: 96-42=54 Current State: 67:[67, 54, 54], Operations: ['96-42=54'] Exploring Operation: 67+54=121, Resulting Numbers: [121] 121,67 equal: Goal Reached Exploring Operation: 121-54=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 66, 10, 54, 80 ]
15
[ "66+54=120", "80/10=8", "120/8=15" ]
Current State: 15:[66, 10, 54, 80], Operations: [] Exploring Operation: 66+54=120, Resulting Numbers: [10, 80, 120] Generated Node #2: [10, 80, 120] from Operation: 66+54=120 Current State: 15:[10, 80, 120], Operations: ['66+54=120'] Exploring Operation: 80/10=8, Resulting Numbers: [120, 8] Generated Node #3: [120, 8] from Operation: 80/10=8 Current State: 15:[120, 8], Operations: ['66+54=120', '80/10=8'] Exploring Operation: 120/8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 86, 42, 11, 75 ]
43
[ "86-11=75", "75/75=1", "42+1=43" ]
Current State: 43:[86, 42, 11, 75], Operations: [] Exploring Operation: 86-11=75, Resulting Numbers: [42, 75, 75] Generated Node #2: [42, 75, 75] from Operation: 86-11=75 Current State: 43:[42, 75, 75], Operations: ['86-11=75'] Exploring Operation: 75/75=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 75/75=1 Current State: 43:[42, 1], Operations: ['86-11=75', '75/75=1'] Exploring Operation: 42+1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 29, 87, 8, 92 ]
16
[ "29+87=116", "8+92=100", "116-100=16" ]
Current State: 16:[29, 87, 8, 92], Operations: [] Exploring Operation: 29+87=116, Resulting Numbers: [8, 92, 116] Generated Node #2: [8, 92, 116] from Operation: 29+87=116 Current State: 16:[8, 92, 116], Operations: ['29+87=116'] Exploring Operation: 8+92=100, Resulting Numbers: [116, 100] Generated Node #3: [116, 100] from Operation: 8+92=100 Current State: 16:[116, 100], Operations: ['29+87=116', '8+92=100'] Exploring Operation: 116-100=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4