nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 13, 9, 21, 75 ]
58
[ "13-9=4", "75-21=54", "4+54=58" ]
Current State: 58:[13, 9, 21, 75], Operations: [] Exploring Operation: 13-9=4, Resulting Numbers: [21, 75, 4] Generated Node #2: [21, 75, 4] from Operation: 13-9=4 Current State: 58:[21, 75, 4], Operations: ['13-9=4'] Exploring Operation: 75-21=54, Resulting Numbers: [4, 54] Generated Node #3: [4, 54] from Operation: 75-21=54 Current State: 58:[4, 54], Operations: ['13-9=4', '75-21=54'] Exploring Operation: 4+54=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 76, 29, 48, 80 ]
73
[ "76+29=105", "80-48=32", "105-32=73" ]
Current State: 73:[76, 29, 48, 80], Operations: [] Exploring Operation: 76+29=105, Resulting Numbers: [48, 80, 105] Generated Node #2: [48, 80, 105] from Operation: 76+29=105 Current State: 73:[48, 80, 105], Operations: ['76+29=105'] Exploring Operation: 80-48=32, Resulting Numbers: [105, 32] Generated Node #3: [105, 32] from Operation: 80-48=32 Current State: 73:[105, 32], Operations: ['76+29=105', '80-48=32'] Exploring Operation: 105-32=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 32, 12, 64, 48 ]
82
[ "12*48=576", "576/32=18", "64+18=82" ]
Current State: 82:[32, 12, 64, 48], Operations: [] Exploring Operation: 12*48=576, Resulting Numbers: [32, 64, 576] Generated Node #2: [32, 64, 576] from Operation: 12*48=576 Current State: 82:[32, 64, 576], Operations: ['12*48=576'] Exploring Operation: 576/32=18, Resulting Numbers: [64, 18] Generated Node #3: [64, 18] from Operation: 576/32=18 Current State: 82:[64, 18], Operations: ['12*48=576', '576/32=18'] Exploring Operation: 64+18=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 5, 8, 47, 77 ]
17
[ "5+8=13", "77-47=30", "30-13=17" ]
Current State: 17:[5, 8, 47, 77], Operations: [] Exploring Operation: 5+8=13, Resulting Numbers: [47, 77, 13] Generated Node #2: [47, 77, 13] from Operation: 5+8=13 Current State: 17:[47, 77, 13], Operations: ['5+8=13'] Exploring Operation: 77-47=30, Resulting Numbers: [13, 30] Generated Node #3: [13, 30] from Operation: 77-47=30 Current State: 17:[13, 30], Operations: ['5+8=13', '77-47=30'] Exploring Operation: 30-13=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 8, 45, 75, 20 ]
42
[ "8+45=53", "75+20=95", "95-53=42" ]
Current State: 42:[8, 45, 75, 20], Operations: [] Exploring Operation: 8+45=53, Resulting Numbers: [75, 20, 53] Generated Node #2: [75, 20, 53] from Operation: 8+45=53 Current State: 42:[75, 20, 53], Operations: ['8+45=53'] Exploring Operation: 75+20=95, Resulting Numbers: [53, 95] Generated Node #3: [53, 95] from Operation: 75+20=95 Current State: 42:[53, 95], Operations: ['8+45=53', '75+20=95'] Exploring Operation: 95-53=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 8, 14, 40, 27 ]
46
[ "40/8=5", "14+27=41", "5+41=46" ]
Current State: 46:[8, 14, 40, 27], Operations: [] Exploring Operation: 40/8=5, Resulting Numbers: [14, 27, 5] Generated Node #2: [14, 27, 5] from Operation: 40/8=5 Current State: 46:[14, 27, 5], Operations: ['40/8=5'] Exploring Operation: 14+27=41, Resulting Numbers: [5, 41] Generated Node #3: [5, 41] from Operation: 14+27=41 Current State: 46:[5, 41], Operations: ['40/8=5', '14+27=41'] Exploring Operation: 5+41=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 71, 8, 20, 68 ]
25
[ "71*8=568", "568-68=500", "500/20=25" ]
Current State: 25:[71, 8, 20, 68], Operations: [] Exploring Operation: 71*8=568, Resulting Numbers: [20, 68, 568] Generated Node #2: [20, 68, 568] from Operation: 71*8=568 Current State: 25:[20, 68, 568], Operations: ['71*8=568'] Exploring Operation: 568-68=500, Resulting Numbers: [20, 500] Generated Node #3: [20, 500] from Operation: 568-68=500 Current State: 25:[20, 500], Operations: ['71*8=568', '568-68=500'] Exploring Operation: 500/20=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 14, 33, 43, 15 ]
66
[ "43-15=28", "28/14=2", "33*2=66" ]
Current State: 66:[14, 33, 43, 15], Operations: [] Exploring Operation: 43-15=28, Resulting Numbers: [14, 33, 28] Generated Node #2: [14, 33, 28] from Operation: 43-15=28 Current State: 66:[14, 33, 28], Operations: ['43-15=28'] Exploring Operation: 28/14=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 28/14=2 Current State: 66:[33, 2], Operations: ['43-15=28', '28/14=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 9, 21, 78, 23 ]
71
[ "9+21=30", "78+23=101", "101-30=71" ]
Current State: 71:[9, 21, 78, 23], Operations: [] Exploring Operation: 9+21=30, Resulting Numbers: [78, 23, 30] Generated Node #2: [78, 23, 30] from Operation: 9+21=30 Current State: 71:[78, 23, 30], Operations: ['9+21=30'] Exploring Operation: 78+23=101, Resulting Numbers: [30, 101] Generated Node #3: [30, 101] from Operation: 78+23=101 Current State: 71:[30, 101], Operations: ['9+21=30', '78+23=101'] Exploring Operation: 101-30=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 36, 66, 5, 51 ]
56
[ "36+66=102", "51-5=46", "102-46=56" ]
Current State: 56:[36, 66, 5, 51], Operations: [] Exploring Operation: 36+66=102, Resulting Numbers: [5, 51, 102] Generated Node #2: [5, 51, 102] from Operation: 36+66=102 Current State: 56:[5, 51, 102], Operations: ['36+66=102'] Exploring Operation: 51-5=46, Resulting Numbers: [102, 46] Generated Node #3: [102, 46] from Operation: 51-5=46 Current State: 56:[102, 46], Operations: ['36+66=102', '51-5=46'] Exploring Operation: 102-46=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 56, 73, 87, 28 ]
58
[ "87-73=14", "28/14=2", "56+2=58" ]
Current State: 58:[56, 73, 87, 28], Operations: [] Exploring Operation: 87-73=14, Resulting Numbers: [56, 28, 14] Generated Node #2: [56, 28, 14] from Operation: 87-73=14 Current State: 58:[56, 28, 14], Operations: ['87-73=14'] Exploring Operation: 28/14=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 28/14=2 Current State: 58:[56, 2], Operations: ['87-73=14', '28/14=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 86, 11, 6, 61 ]
98
[ "11+61=72", "72/6=12", "86+12=98" ]
Current State: 98:[86, 11, 6, 61], Operations: [] Exploring Operation: 11+61=72, Resulting Numbers: [86, 6, 72] Generated Node #2: [86, 6, 72] from Operation: 11+61=72 Current State: 98:[86, 6, 72], Operations: ['11+61=72'] Exploring Operation: 72/6=12, Resulting Numbers: [86, 12] Generated Node #3: [86, 12] from Operation: 72/6=12 Current State: 98:[86, 12], Operations: ['11+61=72', '72/6=12'] Exploring Operation: 86+12=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 50, 31, 15, 25 ]
18
[ "50/25=2", "31-15=16", "2+16=18" ]
Current State: 18:[50, 31, 15, 25], Operations: [] Exploring Operation: 50/25=2, Resulting Numbers: [31, 15, 2] Generated Node #2: [31, 15, 2] from Operation: 50/25=2 Current State: 18:[31, 15, 2], Operations: ['50/25=2'] Exploring Operation: 31-15=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 31-15=16 Current State: 18:[2, 16], Operations: ['50/25=2', '31-15=16'] Exploring Operation: 2+16=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 84, 75, 53, 53 ]
50
[ "84+75=159", "159/53=3", "53-3=50" ]
Current State: 50:[84, 75, 53, 53], Operations: [] Exploring Operation: 84+75=159, Resulting Numbers: [53, 53, 159] Generated Node #2: [53, 53, 159] from Operation: 84+75=159 Current State: 50:[53, 53, 159], Operations: ['84+75=159'] Exploring Operation: 159/53=3, Resulting Numbers: [3] 3,50 equal: Goal Reached Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 11, 24, 6, 82 ]
89
[ "24-11=13", "82-6=76", "13+76=89" ]
Current State: 89:[11, 24, 6, 82], Operations: [] Exploring Operation: 24-11=13, Resulting Numbers: [6, 82, 13] Generated Node #2: [6, 82, 13] from Operation: 24-11=13 Current State: 89:[6, 82, 13], Operations: ['24-11=13'] Exploring Operation: 82-6=76, Resulting Numbers: [13, 76] Generated Node #3: [13, 76] from Operation: 82-6=76 Current State: 89:[13, 76], Operations: ['24-11=13', '82-6=76'] Exploring Operation: 13+76=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 19, 75, 3, 90 ]
78
[ "75-19=56", "3*56=168", "168-90=78" ]
Current State: 78:[19, 75, 3, 90], Operations: [] Exploring Operation: 75-19=56, Resulting Numbers: [3, 90, 56] Generated Node #2: [3, 90, 56] from Operation: 75-19=56 Current State: 78:[3, 90, 56], Operations: ['75-19=56'] Exploring Operation: 3*56=168, Resulting Numbers: [90, 168] Generated Node #3: [90, 168] from Operation: 3*56=168 Current State: 78:[90, 168], Operations: ['75-19=56', '3*56=168'] Exploring Operation: 168-90=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 21, 13, 56, 91 ]
53
[ "21*13=273", "273/91=3", "56-3=53" ]
Current State: 53:[21, 13, 56, 91], Operations: [] Exploring Operation: 21*13=273, Resulting Numbers: [56, 91, 273] Generated Node #2: [56, 91, 273] from Operation: 21*13=273 Current State: 53:[56, 91, 273], Operations: ['21*13=273'] Exploring Operation: 273/91=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 273/91=3 Current State: 53:[56, 3], Operations: ['21*13=273', '273/91=3'] Exploring Operation: 56-3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 29, 52, 37, 36 ]
22
[ "52-29=23", "37-36=1", "23-1=22" ]
Current State: 22:[29, 52, 37, 36], Operations: [] Exploring Operation: 52-29=23, Resulting Numbers: [37, 36, 23] Generated Node #2: [37, 36, 23] from Operation: 52-29=23 Current State: 22:[37, 36, 23], Operations: ['52-29=23'] Exploring Operation: 37-36=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 37-36=1 Current State: 22:[23, 1], Operations: ['52-29=23', '37-36=1'] Exploring Operation: 23-1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 73, 18, 64, 76 ]
85
[ "73-18=55", "64+76=140", "140-55=85" ]
Current State: 85:[73, 18, 64, 76], Operations: [] Exploring Operation: 73-18=55, Resulting Numbers: [64, 76, 55] Generated Node #2: [64, 76, 55] from Operation: 73-18=55 Current State: 85:[64, 76, 55], Operations: ['73-18=55'] Exploring Operation: 64+76=140, Resulting Numbers: [55, 140] Generated Node #3: [55, 140] from Operation: 64+76=140 Current State: 85:[55, 140], Operations: ['73-18=55', '64+76=140'] Exploring Operation: 140-55=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 76, 39, 46, 81 ]
80
[ "76+39=115", "81-46=35", "115-35=80" ]
Current State: 80:[76, 39, 46, 81], Operations: [] Exploring Operation: 76+39=115, Resulting Numbers: [46, 81, 115] Generated Node #2: [46, 81, 115] from Operation: 76+39=115 Current State: 80:[46, 81, 115], Operations: ['76+39=115'] Exploring Operation: 81-46=35, Resulting Numbers: [115, 35] Generated Node #3: [115, 35] from Operation: 81-46=35 Current State: 80:[115, 35], Operations: ['76+39=115', '81-46=35'] Exploring Operation: 115-35=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 92, 75, 92, 23 ]
86
[ "92-75=17", "92-23=69", "17+69=86" ]
Current State: 86:[92, 75, 92, 23], Operations: [] Exploring Operation: 92-75=17, Resulting Numbers: [23, 17] Generated Node #2: [23, 17] from Operation: 92-75=17 Current State: 86:[23, 17], Operations: ['92-75=17'] Exploring Operation: 92-23=69, Resulting Numbers: [17, 69] Generated Node #3: [17, 69] from Operation: 92-23=69 Current State: 86:[17, 69], Operations: ['92-75=17', '92-23=69'] Exploring Operation: 17+69=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 2, 10, 40, 16 ]
17
[ "10+40=50", "50-16=34", "34/2=17" ]
Current State: 17:[2, 10, 40, 16], Operations: [] Exploring Operation: 10+40=50, Resulting Numbers: [2, 16, 50] Generated Node #2: [2, 16, 50] from Operation: 10+40=50 Current State: 17:[2, 16, 50], Operations: ['10+40=50'] Exploring Operation: 50-16=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 50-16=34 Current State: 17:[2, 34], Operations: ['10+40=50', '50-16=34'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 8, 72, 91, 71 ]
82
[ "8+72=80", "91+71=162", "162-80=82" ]
Current State: 82:[8, 72, 91, 71], Operations: [] Exploring Operation: 8+72=80, Resulting Numbers: [91, 71, 80] Generated Node #2: [91, 71, 80] from Operation: 8+72=80 Current State: 82:[91, 71, 80], Operations: ['8+72=80'] Exploring Operation: 91+71=162, Resulting Numbers: [80, 162] Generated Node #3: [80, 162] from Operation: 91+71=162 Current State: 82:[80, 162], Operations: ['8+72=80', '91+71=162'] Exploring Operation: 162-80=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 39, 13, 59, 75 ]
48
[ "39/13=3", "75-59=16", "3*16=48" ]
Current State: 48:[39, 13, 59, 75], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [59, 75, 3] Generated Node #2: [59, 75, 3] from Operation: 39/13=3 Current State: 48:[59, 75, 3], Operations: ['39/13=3'] Exploring Operation: 75-59=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 75-59=16 Current State: 48:[3, 16], Operations: ['39/13=3', '75-59=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 56, 68, 68, 17 ]
38
[ "56-17=39", "68/68=1", "39-1=38" ]
Current State: 38:[56, 68, 68, 17], Operations: [] Exploring Operation: 56-17=39, Resulting Numbers: [68, 68, 39] Generated Node #2: [68, 68, 39] from Operation: 56-17=39 Current State: 38:[68, 68, 39], Operations: ['56-17=39'] Exploring Operation: 68/68=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 68/68=1 Current State: 38:[39, 1], Operations: ['56-17=39', '68/68=1'] Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 79, 5, 36, 61 ]
40
[ "79+61=140", "5*36=180", "180-140=40" ]
Current State: 40:[79, 5, 36, 61], Operations: [] Exploring Operation: 79+61=140, Resulting Numbers: [5, 36, 140] Generated Node #2: [5, 36, 140] from Operation: 79+61=140 Current State: 40:[5, 36, 140], Operations: ['79+61=140'] Exploring Operation: 5*36=180, Resulting Numbers: [140, 180] Generated Node #3: [140, 180] from Operation: 5*36=180 Current State: 40:[140, 180], Operations: ['79+61=140', '5*36=180'] Exploring Operation: 180-140=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 17, 39, 52, 13 ]
15
[ "39-13=26", "52/26=2", "17-2=15" ]
Current State: 15:[17, 39, 52, 13], Operations: [] Exploring Operation: 39-13=26, Resulting Numbers: [17, 52, 26] Generated Node #2: [17, 52, 26] from Operation: 39-13=26 Current State: 15:[17, 52, 26], Operations: ['39-13=26'] Exploring Operation: 52/26=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 52/26=2 Current State: 15:[17, 2], Operations: ['39-13=26', '52/26=2'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 81, 73, 30, 62 ]
84
[ "81-73=8", "30+62=92", "92-8=84" ]
Current State: 84:[81, 73, 30, 62], Operations: [] Exploring Operation: 81-73=8, Resulting Numbers: [30, 62, 8] Generated Node #2: [30, 62, 8] from Operation: 81-73=8 Current State: 84:[30, 62, 8], Operations: ['81-73=8'] Exploring Operation: 30+62=92, Resulting Numbers: [8, 92] Generated Node #3: [8, 92] from Operation: 30+62=92 Current State: 84:[8, 92], Operations: ['81-73=8', '30+62=92'] Exploring Operation: 92-8=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 81, 28, 7, 75 ]
28
[ "81-7=74", "75-74=1", "28*1=28" ]
Current State: 28:[81, 28, 7, 75], Operations: [] Exploring Operation: 81-7=74, Resulting Numbers: [28, 75, 74] Generated Node #2: [28, 75, 74] from Operation: 81-7=74 Current State: 28:[28, 75, 74], Operations: ['81-7=74'] Exploring Operation: 75-74=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 75-74=1 Current State: 28:[28, 1], Operations: ['81-7=74', '75-74=1'] Exploring Operation: 28*1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 35, 87, 16, 7 ]
99
[ "35+87=122", "16+7=23", "122-23=99" ]
Current State: 99:[35, 87, 16, 7], Operations: [] Exploring Operation: 35+87=122, Resulting Numbers: [16, 7, 122] Generated Node #2: [16, 7, 122] from Operation: 35+87=122 Current State: 99:[16, 7, 122], Operations: ['35+87=122'] Exploring Operation: 16+7=23, Resulting Numbers: [122, 23] Generated Node #3: [122, 23] from Operation: 16+7=23 Current State: 99:[122, 23], Operations: ['35+87=122', '16+7=23'] Exploring Operation: 122-23=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 58, 81, 37, 63 ]
77
[ "81-58=23", "37+63=100", "100-23=77" ]
Current State: 77:[58, 81, 37, 63], Operations: [] Exploring Operation: 81-58=23, Resulting Numbers: [37, 63, 23] Generated Node #2: [37, 63, 23] from Operation: 81-58=23 Current State: 77:[37, 63, 23], Operations: ['81-58=23'] Exploring Operation: 37+63=100, Resulting Numbers: [23, 100] Generated Node #3: [23, 100] from Operation: 37+63=100 Current State: 77:[23, 100], Operations: ['81-58=23', '37+63=100'] Exploring Operation: 100-23=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 21, 68, 9, 18 ]
56
[ "68-21=47", "18-9=9", "47+9=56" ]
Current State: 56:[21, 68, 9, 18], Operations: [] Exploring Operation: 68-21=47, Resulting Numbers: [9, 18, 47] Generated Node #2: [9, 18, 47] from Operation: 68-21=47 Current State: 56:[9, 18, 47], Operations: ['68-21=47'] Exploring Operation: 18-9=9, Resulting Numbers: [47, 9] Generated Node #3: [47, 9] from Operation: 18-9=9 Current State: 56:[47, 9], Operations: ['68-21=47', '18-9=9'] Exploring Operation: 47+9=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 90, 30, 28, 20 ]
96
[ "90*28=2520", "2520/20=126", "126-30=96" ]
Current State: 96:[90, 30, 28, 20], Operations: [] Exploring Operation: 90*28=2520, Resulting Numbers: [30, 20, 2520] Generated Node #2: [30, 20, 2520] from Operation: 90*28=2520 Current State: 96:[30, 20, 2520], Operations: ['90*28=2520'] Exploring Operation: 2520/20=126, Resulting Numbers: [30, 126] Generated Node #3: [30, 126] from Operation: 2520/20=126 Current State: 96:[30, 126], Operations: ['90*28=2520', '2520/20=126'] Exploring Operation: 126-30=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 7, 96, 2, 88 ]
90
[ "96-7=89", "2*89=178", "178-88=90" ]
Current State: 90:[7, 96, 2, 88], Operations: [] Exploring Operation: 96-7=89, Resulting Numbers: [2, 88, 89] Generated Node #2: [2, 88, 89] from Operation: 96-7=89 Current State: 90:[2, 88, 89], Operations: ['96-7=89'] Exploring Operation: 2*89=178, Resulting Numbers: [88, 178] Generated Node #3: [88, 178] from Operation: 2*89=178 Current State: 90:[88, 178], Operations: ['96-7=89', '2*89=178'] Exploring Operation: 178-88=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 5, 31, 29, 15 ]
80
[ "5+31=36", "29+15=44", "36+44=80" ]
Current State: 80:[5, 31, 29, 15], Operations: [] Exploring Operation: 5+31=36, Resulting Numbers: [29, 15, 36] Generated Node #2: [29, 15, 36] from Operation: 5+31=36 Current State: 80:[29, 15, 36], Operations: ['5+31=36'] Exploring Operation: 29+15=44, Resulting Numbers: [36, 44] Generated Node #3: [36, 44] from Operation: 29+15=44 Current State: 80:[36, 44], Operations: ['5+31=36', '29+15=44'] Exploring Operation: 36+44=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 52, 5, 9, 65 ]
13
[ "52*5=260", "260/65=4", "9+4=13" ]
Current State: 13:[52, 5, 9, 65], Operations: [] Exploring Operation: 52*5=260, Resulting Numbers: [9, 65, 260] Generated Node #2: [9, 65, 260] from Operation: 52*5=260 Current State: 13:[9, 65, 260], Operations: ['52*5=260'] Exploring Operation: 260/65=4, Resulting Numbers: [9, 4] Generated Node #3: [9, 4] from Operation: 260/65=4 Current State: 13:[9, 4], Operations: ['52*5=260', '260/65=4'] Exploring Operation: 9+4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 56, 44, 6, 45 ]
24
[ "56-45=11", "44*6=264", "264/11=24" ]
Current State: 24:[56, 44, 6, 45], Operations: [] Exploring Operation: 56-45=11, Resulting Numbers: [44, 6, 11] Generated Node #2: [44, 6, 11] from Operation: 56-45=11 Current State: 24:[44, 6, 11], Operations: ['56-45=11'] Exploring Operation: 44*6=264, Resulting Numbers: [11, 264] Generated Node #3: [11, 264] from Operation: 44*6=264 Current State: 24:[11, 264], Operations: ['56-45=11', '44*6=264'] Exploring Operation: 264/11=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 6, 3, 39, 50 ]
35
[ "6+39=45", "45/3=15", "50-15=35" ]
Current State: 35:[6, 3, 39, 50], Operations: [] Exploring Operation: 6+39=45, Resulting Numbers: [3, 50, 45] Generated Node #2: [3, 50, 45] from Operation: 6+39=45 Current State: 35:[3, 50, 45], Operations: ['6+39=45'] Exploring Operation: 45/3=15, Resulting Numbers: [50, 15] Generated Node #3: [50, 15] from Operation: 45/3=15 Current State: 35:[50, 15], Operations: ['6+39=45', '45/3=15'] Exploring Operation: 50-15=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 51, 48, 81, 25 ]
59
[ "51-48=3", "81-25=56", "3+56=59" ]
Current State: 59:[51, 48, 81, 25], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [81, 25, 3] Generated Node #2: [81, 25, 3] from Operation: 51-48=3 Current State: 59:[81, 25, 3], Operations: ['51-48=3'] Exploring Operation: 81-25=56, Resulting Numbers: [3, 56] Generated Node #3: [3, 56] from Operation: 81-25=56 Current State: 59:[3, 56], Operations: ['51-48=3', '81-25=56'] Exploring Operation: 3+56=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 31, 17, 9, 73 ]
78
[ "31-17=14", "73-9=64", "14+64=78" ]
Current State: 78:[31, 17, 9, 73], Operations: [] Exploring Operation: 31-17=14, Resulting Numbers: [9, 73, 14] Generated Node #2: [9, 73, 14] from Operation: 31-17=14 Current State: 78:[9, 73, 14], Operations: ['31-17=14'] Exploring Operation: 73-9=64, Resulting Numbers: [14, 64] Generated Node #3: [14, 64] from Operation: 73-9=64 Current State: 78:[14, 64], Operations: ['31-17=14', '73-9=64'] Exploring Operation: 14+64=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 88, 64, 38, 35 ]
79
[ "88+64=152", "38+35=73", "152-73=79" ]
Current State: 79:[88, 64, 38, 35], Operations: [] Exploring Operation: 88+64=152, Resulting Numbers: [38, 35, 152] Generated Node #2: [38, 35, 152] from Operation: 88+64=152 Current State: 79:[38, 35, 152], Operations: ['88+64=152'] Exploring Operation: 38+35=73, Resulting Numbers: [152, 73] Generated Node #3: [152, 73] from Operation: 38+35=73 Current State: 79:[152, 73], Operations: ['88+64=152', '38+35=73'] Exploring Operation: 152-73=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 22, 88, 83, 89 ]
21
[ "88-83=5", "22*5=110", "110-89=21" ]
Current State: 21:[22, 88, 83, 89], Operations: [] Exploring Operation: 88-83=5, Resulting Numbers: [22, 89, 5] Generated Node #2: [22, 89, 5] from Operation: 88-83=5 Current State: 21:[22, 89, 5], Operations: ['88-83=5'] Exploring Operation: 22*5=110, Resulting Numbers: [89, 110] Generated Node #3: [89, 110] from Operation: 22*5=110 Current State: 21:[89, 110], Operations: ['88-83=5', '22*5=110'] Exploring Operation: 110-89=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 46, 35, 47, 41 ]
23
[ "46*41=1886", "35+47=82", "1886/82=23" ]
Current State: 23:[46, 35, 47, 41], Operations: [] Exploring Operation: 46*41=1886, Resulting Numbers: [35, 47, 1886] Generated Node #2: [35, 47, 1886] from Operation: 46*41=1886 Current State: 23:[35, 47, 1886], Operations: ['46*41=1886'] Exploring Operation: 35+47=82, Resulting Numbers: [1886, 82] Generated Node #3: [1886, 82] from Operation: 35+47=82 Current State: 23:[1886, 82], Operations: ['46*41=1886', '35+47=82'] Exploring Operation: 1886/82=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 23, 43, 3, 25 ]
31
[ "43-25=18", "3*18=54", "54-23=31" ]
Current State: 31:[23, 43, 3, 25], Operations: [] Exploring Operation: 43-25=18, Resulting Numbers: [23, 3, 18] Generated Node #2: [23, 3, 18] from Operation: 43-25=18 Current State: 31:[23, 3, 18], Operations: ['43-25=18'] Exploring Operation: 3*18=54, Resulting Numbers: [23, 54] Generated Node #3: [23, 54] from Operation: 3*18=54 Current State: 31:[23, 54], Operations: ['43-25=18', '3*18=54'] Exploring Operation: 54-23=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 95, 54, 80, 40 ]
82
[ "95-54=41", "80/40=2", "41*2=82" ]
Current State: 82:[95, 54, 80, 40], Operations: [] Exploring Operation: 95-54=41, Resulting Numbers: [80, 40, 41] Generated Node #2: [80, 40, 41] from Operation: 95-54=41 Current State: 82:[80, 40, 41], Operations: ['95-54=41'] Exploring Operation: 80/40=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 80/40=2 Current State: 82:[41, 2], Operations: ['95-54=41', '80/40=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 24, 73, 18, 63 ]
16
[ "24+73=97", "18+63=81", "97-81=16" ]
Current State: 16:[24, 73, 18, 63], Operations: [] Exploring Operation: 24+73=97, Resulting Numbers: [18, 63, 97] Generated Node #2: [18, 63, 97] from Operation: 24+73=97 Current State: 16:[18, 63, 97], Operations: ['24+73=97'] Exploring Operation: 18+63=81, Resulting Numbers: [97, 81] Generated Node #3: [97, 81] from Operation: 18+63=81 Current State: 16:[97, 81], Operations: ['24+73=97', '18+63=81'] Exploring Operation: 97-81=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 32, 29, 16, 6 ]
33
[ "32/16=2", "29+6=35", "35-2=33" ]
Current State: 33:[32, 29, 16, 6], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [29, 6, 2] Generated Node #2: [29, 6, 2] from Operation: 32/16=2 Current State: 33:[29, 6, 2], Operations: ['32/16=2'] Exploring Operation: 29+6=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 29+6=35 Current State: 33:[2, 35], Operations: ['32/16=2', '29+6=35'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 32, 51, 67, 58 ]
56
[ "67-51=16", "32/16=2", "58-2=56" ]
Current State: 56:[32, 51, 67, 58], Operations: [] Exploring Operation: 67-51=16, Resulting Numbers: [32, 58, 16] Generated Node #2: [32, 58, 16] from Operation: 67-51=16 Current State: 56:[32, 58, 16], Operations: ['67-51=16'] Exploring Operation: 32/16=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 32/16=2 Current State: 56:[58, 2], Operations: ['67-51=16', '32/16=2'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 54, 85, 4, 51 ]
84
[ "54+85=139", "4+51=55", "139-55=84" ]
Current State: 84:[54, 85, 4, 51], Operations: [] Exploring Operation: 54+85=139, Resulting Numbers: [4, 51, 139] Generated Node #2: [4, 51, 139] from Operation: 54+85=139 Current State: 84:[4, 51, 139], Operations: ['54+85=139'] Exploring Operation: 4+51=55, Resulting Numbers: [139, 55] Generated Node #3: [139, 55] from Operation: 4+51=55 Current State: 84:[139, 55], Operations: ['54+85=139', '4+51=55'] Exploring Operation: 139-55=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 97, 19, 80, 80 ]
44
[ "97+19=116", "80+80=160", "160-116=44" ]
Current State: 44:[97, 19, 80, 80], Operations: [] Exploring Operation: 97+19=116, Resulting Numbers: [80, 80, 116] Generated Node #2: [80, 80, 116] from Operation: 97+19=116 Current State: 44:[80, 80, 116], Operations: ['97+19=116'] Exploring Operation: 80+80=160, Resulting Numbers: [116, 160] Generated Node #3: [116, 160] from Operation: 80+80=160 Current State: 44:[116, 160], Operations: ['97+19=116', '80+80=160'] Exploring Operation: 160-116=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 17, 73, 25, 68 ]
52
[ "68/17=4", "73-25=48", "4+48=52" ]
Current State: 52:[17, 73, 25, 68], Operations: [] Exploring Operation: 68/17=4, Resulting Numbers: [73, 25, 4] Generated Node #2: [73, 25, 4] from Operation: 68/17=4 Current State: 52:[73, 25, 4], Operations: ['68/17=4'] Exploring Operation: 73-25=48, Resulting Numbers: [4, 48] Generated Node #3: [4, 48] from Operation: 73-25=48 Current State: 52:[4, 48], Operations: ['68/17=4', '73-25=48'] Exploring Operation: 4+48=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 59, 33, 84, 20 ]
38
[ "59-33=26", "84-20=64", "64-26=38" ]
Current State: 38:[59, 33, 84, 20], Operations: [] Exploring Operation: 59-33=26, Resulting Numbers: [84, 20, 26] Generated Node #2: [84, 20, 26] from Operation: 59-33=26 Current State: 38:[84, 20, 26], Operations: ['59-33=26'] Exploring Operation: 84-20=64, Resulting Numbers: [26, 64] Generated Node #3: [26, 64] from Operation: 84-20=64 Current State: 38:[26, 64], Operations: ['59-33=26', '84-20=64'] Exploring Operation: 64-26=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 18, 39, 26, 16 ]
15
[ "18+39=57", "26+16=42", "57-42=15" ]
Current State: 15:[18, 39, 26, 16], Operations: [] Exploring Operation: 18+39=57, Resulting Numbers: [26, 16, 57] Generated Node #2: [26, 16, 57] from Operation: 18+39=57 Current State: 15:[26, 16, 57], Operations: ['18+39=57'] Exploring Operation: 26+16=42, Resulting Numbers: [57, 42] Generated Node #3: [57, 42] from Operation: 26+16=42 Current State: 15:[57, 42], Operations: ['18+39=57', '26+16=42'] Exploring Operation: 57-42=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 24, 13, 64, 67 ]
59
[ "67-64=3", "24*3=72", "72-13=59" ]
Current State: 59:[24, 13, 64, 67], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [24, 13, 3] Generated Node #2: [24, 13, 3] from Operation: 67-64=3 Current State: 59:[24, 13, 3], Operations: ['67-64=3'] Exploring Operation: 24*3=72, Resulting Numbers: [13, 72] Generated Node #3: [13, 72] from Operation: 24*3=72 Current State: 59:[13, 72], Operations: ['67-64=3', '24*3=72'] Exploring Operation: 72-13=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 36, 98, 24, 82 ]
54
[ "36*24=864", "98-82=16", "864/16=54" ]
Current State: 54:[36, 98, 24, 82], Operations: [] Exploring Operation: 36*24=864, Resulting Numbers: [98, 82, 864] Generated Node #2: [98, 82, 864] from Operation: 36*24=864 Current State: 54:[98, 82, 864], Operations: ['36*24=864'] Exploring Operation: 98-82=16, Resulting Numbers: [864, 16] Generated Node #3: [864, 16] from Operation: 98-82=16 Current State: 54:[864, 16], Operations: ['36*24=864', '98-82=16'] Exploring Operation: 864/16=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 59, 26, 15, 69 ]
39
[ "69-59=10", "26*15=390", "390/10=39" ]
Current State: 39:[59, 26, 15, 69], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [26, 15, 10] Generated Node #2: [26, 15, 10] from Operation: 69-59=10 Current State: 39:[26, 15, 10], Operations: ['69-59=10'] Exploring Operation: 26*15=390, Resulting Numbers: [10, 390] Generated Node #3: [10, 390] from Operation: 26*15=390 Current State: 39:[10, 390], Operations: ['69-59=10', '26*15=390'] Exploring Operation: 390/10=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 65, 82, 72, 66 ]
23
[ "82-65=17", "72-66=6", "17+6=23" ]
Current State: 23:[65, 82, 72, 66], Operations: [] Exploring Operation: 82-65=17, Resulting Numbers: [72, 66, 17] Generated Node #2: [72, 66, 17] from Operation: 82-65=17 Current State: 23:[72, 66, 17], Operations: ['82-65=17'] Exploring Operation: 72-66=6, Resulting Numbers: [17, 6] Generated Node #3: [17, 6] from Operation: 72-66=6 Current State: 23:[17, 6], Operations: ['82-65=17', '72-66=6'] Exploring Operation: 17+6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 83, 58, 62, 43 ]
44
[ "83-58=25", "62-43=19", "25+19=44" ]
Current State: 44:[83, 58, 62, 43], Operations: [] Exploring Operation: 83-58=25, Resulting Numbers: [62, 43, 25] Generated Node #2: [62, 43, 25] from Operation: 83-58=25 Current State: 44:[62, 43, 25], Operations: ['83-58=25'] Exploring Operation: 62-43=19, Resulting Numbers: [25, 19] Generated Node #3: [25, 19] from Operation: 62-43=19 Current State: 44:[25, 19], Operations: ['83-58=25', '62-43=19'] Exploring Operation: 25+19=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 71, 99, 7, 5 ]
20
[ "99-71=28", "28/7=4", "5*4=20" ]
Current State: 20:[71, 99, 7, 5], Operations: [] Exploring Operation: 99-71=28, Resulting Numbers: [7, 5, 28] Generated Node #2: [7, 5, 28] from Operation: 99-71=28 Current State: 20:[7, 5, 28], Operations: ['99-71=28'] Exploring Operation: 28/7=4, Resulting Numbers: [5, 4] Generated Node #3: [5, 4] from Operation: 28/7=4 Current State: 20:[5, 4], Operations: ['99-71=28', '28/7=4'] Exploring Operation: 5*4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 43, 74, 1, 53 ]
85
[ "74-43=31", "1+53=54", "31+54=85" ]
Current State: 85:[43, 74, 1, 53], Operations: [] Exploring Operation: 74-43=31, Resulting Numbers: [1, 53, 31] Generated Node #2: [1, 53, 31] from Operation: 74-43=31 Current State: 85:[1, 53, 31], Operations: ['74-43=31'] Exploring Operation: 1+53=54, Resulting Numbers: [31, 54] Generated Node #3: [31, 54] from Operation: 1+53=54 Current State: 85:[31, 54], Operations: ['74-43=31', '1+53=54'] Exploring Operation: 31+54=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 4, 8, 7, 86 ]
26
[ "7-4=3", "86-8=78", "78/3=26" ]
Current State: 26:[4, 8, 7, 86], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [8, 86, 3] Generated Node #2: [8, 86, 3] from Operation: 7-4=3 Current State: 26:[8, 86, 3], Operations: ['7-4=3'] Exploring Operation: 86-8=78, Resulting Numbers: [3, 78] Generated Node #3: [3, 78] from Operation: 86-8=78 Current State: 26:[3, 78], Operations: ['7-4=3', '86-8=78'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 17, 30, 36, 48 ]
71
[ "30-17=13", "36+48=84", "84-13=71" ]
Current State: 71:[17, 30, 36, 48], Operations: [] Exploring Operation: 30-17=13, Resulting Numbers: [36, 48, 13] Generated Node #2: [36, 48, 13] from Operation: 30-17=13 Current State: 71:[36, 48, 13], Operations: ['30-17=13'] Exploring Operation: 36+48=84, Resulting Numbers: [13, 84] Generated Node #3: [13, 84] from Operation: 36+48=84 Current State: 71:[13, 84], Operations: ['30-17=13', '36+48=84'] Exploring Operation: 84-13=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 53, 74, 20, 78 ]
79
[ "74-53=21", "78-20=58", "21+58=79" ]
Current State: 79:[53, 74, 20, 78], Operations: [] Exploring Operation: 74-53=21, Resulting Numbers: [20, 78, 21] Generated Node #2: [20, 78, 21] from Operation: 74-53=21 Current State: 79:[20, 78, 21], Operations: ['74-53=21'] Exploring Operation: 78-20=58, Resulting Numbers: [21, 58] Generated Node #3: [21, 58] from Operation: 78-20=58 Current State: 79:[21, 58], Operations: ['74-53=21', '78-20=58'] Exploring Operation: 21+58=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 52, 17, 61, 48 ]
72
[ "17+61=78", "48*78=3744", "3744/52=72" ]
Current State: 72:[52, 17, 61, 48], Operations: [] Exploring Operation: 17+61=78, Resulting Numbers: [52, 48, 78] Generated Node #2: [52, 48, 78] from Operation: 17+61=78 Current State: 72:[52, 48, 78], Operations: ['17+61=78'] Exploring Operation: 48*78=3744, Resulting Numbers: [52, 3744] Generated Node #3: [52, 3744] from Operation: 48*78=3744 Current State: 72:[52, 3744], Operations: ['17+61=78', '48*78=3744'] Exploring Operation: 3744/52=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 95, 76, 81, 45 ]
10
[ "95-45=50", "81-76=5", "50/5=10" ]
Current State: 10:[95, 76, 81, 45], Operations: [] Exploring Operation: 95-45=50, Resulting Numbers: [76, 81, 50] Generated Node #2: [76, 81, 50] from Operation: 95-45=50 Current State: 10:[76, 81, 50], Operations: ['95-45=50'] Exploring Operation: 81-76=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 81-76=5 Current State: 10:[50, 5], Operations: ['95-45=50', '81-76=5'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 20, 12, 69, 16 ]
61
[ "20-12=8", "69-16=53", "8+53=61" ]
Current State: 61:[20, 12, 69, 16], Operations: [] Exploring Operation: 20-12=8, Resulting Numbers: [69, 16, 8] Generated Node #2: [69, 16, 8] from Operation: 20-12=8 Current State: 61:[69, 16, 8], Operations: ['20-12=8'] Exploring Operation: 69-16=53, Resulting Numbers: [8, 53] Generated Node #3: [8, 53] from Operation: 69-16=53 Current State: 61:[8, 53], Operations: ['20-12=8', '69-16=53'] Exploring Operation: 8+53=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 19, 47, 36, 77 ]
42
[ "19+47=66", "36*77=2772", "2772/66=42" ]
Current State: 42:[19, 47, 36, 77], Operations: [] Exploring Operation: 19+47=66, Resulting Numbers: [36, 77, 66] Generated Node #2: [36, 77, 66] from Operation: 19+47=66 Current State: 42:[36, 77, 66], Operations: ['19+47=66'] Exploring Operation: 36*77=2772, Resulting Numbers: [66, 2772] Generated Node #3: [66, 2772] from Operation: 36*77=2772 Current State: 42:[66, 2772], Operations: ['19+47=66', '36*77=2772'] Exploring Operation: 2772/66=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 10, 98, 2, 73 ]
45
[ "10*2=20", "98-73=25", "20+25=45" ]
Current State: 45:[10, 98, 2, 73], Operations: [] Exploring Operation: 10*2=20, Resulting Numbers: [98, 73, 20] Generated Node #2: [98, 73, 20] from Operation: 10*2=20 Current State: 45:[98, 73, 20], Operations: ['10*2=20'] Exploring Operation: 98-73=25, Resulting Numbers: [20, 25] Generated Node #3: [20, 25] from Operation: 98-73=25 Current State: 45:[20, 25], Operations: ['10*2=20', '98-73=25'] Exploring Operation: 20+25=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 25, 45, 40, 52 ]
54
[ "45-25=20", "40/20=2", "52+2=54" ]
Current State: 54:[25, 45, 40, 52], Operations: [] Exploring Operation: 45-25=20, Resulting Numbers: [40, 52, 20] Generated Node #2: [40, 52, 20] from Operation: 45-25=20 Current State: 54:[40, 52, 20], Operations: ['45-25=20'] Exploring Operation: 40/20=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 40/20=2 Current State: 54:[52, 2], Operations: ['45-25=20', '40/20=2'] Exploring Operation: 52+2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 25, 21, 4, 20 ]
12
[ "25-21=4", "20-4=16", "16-4=12" ]
Current State: 12:[25, 21, 4, 20], Operations: [] Exploring Operation: 25-21=4, Resulting Numbers: [4, 20, 4] Generated Node #2: [4, 20, 4] from Operation: 25-21=4 Current State: 12:[4, 20, 4], Operations: ['25-21=4'] Exploring Operation: 20-4=16, Resulting Numbers: [16] 16,12 equal: Goal Reached Exploring Operation: 16-4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 44, 9, 27, 50 ]
82
[ "44*27=1188", "1188/9=132", "132-50=82" ]
Current State: 82:[44, 9, 27, 50], Operations: [] Exploring Operation: 44*27=1188, Resulting Numbers: [9, 50, 1188] Generated Node #2: [9, 50, 1188] from Operation: 44*27=1188 Current State: 82:[9, 50, 1188], Operations: ['44*27=1188'] Exploring Operation: 1188/9=132, Resulting Numbers: [50, 132] Generated Node #3: [50, 132] from Operation: 1188/9=132 Current State: 82:[50, 132], Operations: ['44*27=1188', '1188/9=132'] Exploring Operation: 132-50=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 99, 9, 14, 42 ]
39
[ "99/9=11", "42-14=28", "11+28=39" ]
Current State: 39:[99, 9, 14, 42], Operations: [] Exploring Operation: 99/9=11, Resulting Numbers: [14, 42, 11] Generated Node #2: [14, 42, 11] from Operation: 99/9=11 Current State: 39:[14, 42, 11], Operations: ['99/9=11'] Exploring Operation: 42-14=28, Resulting Numbers: [11, 28] Generated Node #3: [11, 28] from Operation: 42-14=28 Current State: 39:[11, 28], Operations: ['99/9=11', '42-14=28'] Exploring Operation: 11+28=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 14, 52, 45, 38 ]
59
[ "14+52=66", "45-38=7", "66-7=59" ]
Current State: 59:[14, 52, 45, 38], Operations: [] Exploring Operation: 14+52=66, Resulting Numbers: [45, 38, 66] Generated Node #2: [45, 38, 66] from Operation: 14+52=66 Current State: 59:[45, 38, 66], Operations: ['14+52=66'] Exploring Operation: 45-38=7, Resulting Numbers: [66, 7] Generated Node #3: [66, 7] from Operation: 45-38=7 Current State: 59:[66, 7], Operations: ['14+52=66', '45-38=7'] Exploring Operation: 66-7=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 16, 71, 45, 64 ]
19
[ "71+64=135", "135/45=3", "16+3=19" ]
Current State: 19:[16, 71, 45, 64], Operations: [] Exploring Operation: 71+64=135, Resulting Numbers: [16, 45, 135] Generated Node #2: [16, 45, 135] from Operation: 71+64=135 Current State: 19:[16, 45, 135], Operations: ['71+64=135'] Exploring Operation: 135/45=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 135/45=3 Current State: 19:[16, 3], Operations: ['71+64=135', '135/45=3'] Exploring Operation: 16+3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 22, 7, 40, 12 ]
13
[ "22-7=15", "40-12=28", "28-15=13" ]
Current State: 13:[22, 7, 40, 12], Operations: [] Exploring Operation: 22-7=15, Resulting Numbers: [40, 12, 15] Generated Node #2: [40, 12, 15] from Operation: 22-7=15 Current State: 13:[40, 12, 15], Operations: ['22-7=15'] Exploring Operation: 40-12=28, Resulting Numbers: [15, 28] Generated Node #3: [15, 28] from Operation: 40-12=28 Current State: 13:[15, 28], Operations: ['22-7=15', '40-12=28'] Exploring Operation: 28-15=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 37, 55, 84, 28 ]
20
[ "37+55=92", "84+28=112", "112-92=20" ]
Current State: 20:[37, 55, 84, 28], Operations: [] Exploring Operation: 37+55=92, Resulting Numbers: [84, 28, 92] Generated Node #2: [84, 28, 92] from Operation: 37+55=92 Current State: 20:[84, 28, 92], Operations: ['37+55=92'] Exploring Operation: 84+28=112, Resulting Numbers: [92, 112] Generated Node #3: [92, 112] from Operation: 84+28=112 Current State: 20:[92, 112], Operations: ['37+55=92', '84+28=112'] Exploring Operation: 112-92=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 4, 82, 54, 49 ]
73
[ "82-4=78", "54-49=5", "78-5=73" ]
Current State: 73:[4, 82, 54, 49], Operations: [] Exploring Operation: 82-4=78, Resulting Numbers: [54, 49, 78] Generated Node #2: [54, 49, 78] from Operation: 82-4=78 Current State: 73:[54, 49, 78], Operations: ['82-4=78'] Exploring Operation: 54-49=5, Resulting Numbers: [78, 5] Generated Node #3: [78, 5] from Operation: 54-49=5 Current State: 73:[78, 5], Operations: ['82-4=78', '54-49=5'] Exploring Operation: 78-5=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 31, 54, 42, 34 ]
93
[ "31+54=85", "42-34=8", "85+8=93" ]
Current State: 93:[31, 54, 42, 34], Operations: [] Exploring Operation: 31+54=85, Resulting Numbers: [42, 34, 85] Generated Node #2: [42, 34, 85] from Operation: 31+54=85 Current State: 93:[42, 34, 85], Operations: ['31+54=85'] Exploring Operation: 42-34=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 42-34=8 Current State: 93:[85, 8], Operations: ['31+54=85', '42-34=8'] Exploring Operation: 85+8=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 65, 68, 43, 2 ]
47
[ "65+68=133", "43*2=86", "133-86=47" ]
Current State: 47:[65, 68, 43, 2], Operations: [] Exploring Operation: 65+68=133, Resulting Numbers: [43, 2, 133] Generated Node #2: [43, 2, 133] from Operation: 65+68=133 Current State: 47:[43, 2, 133], Operations: ['65+68=133'] Exploring Operation: 43*2=86, Resulting Numbers: [133, 86] Generated Node #3: [133, 86] from Operation: 43*2=86 Current State: 47:[133, 86], Operations: ['65+68=133', '43*2=86'] Exploring Operation: 133-86=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 49, 37, 35 ]
71
[ "24+49=73", "37-35=2", "73-2=71" ]
Current State: 71:[24, 49, 37, 35], Operations: [] Exploring Operation: 24+49=73, Resulting Numbers: [37, 35, 73] Generated Node #2: [37, 35, 73] from Operation: 24+49=73 Current State: 71:[37, 35, 73], Operations: ['24+49=73'] Exploring Operation: 37-35=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 37-35=2 Current State: 71:[73, 2], Operations: ['24+49=73', '37-35=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 6, 71, 54, 4 ]
40
[ "6*54=324", "71*4=284", "324-284=40" ]
Current State: 40:[6, 71, 54, 4], Operations: [] Exploring Operation: 6*54=324, Resulting Numbers: [71, 4, 324] Generated Node #2: [71, 4, 324] from Operation: 6*54=324 Current State: 40:[71, 4, 324], Operations: ['6*54=324'] Exploring Operation: 71*4=284, Resulting Numbers: [324, 284] Generated Node #3: [324, 284] from Operation: 71*4=284 Current State: 40:[324, 284], Operations: ['6*54=324', '71*4=284'] Exploring Operation: 324-284=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 89, 37, 98, 40 ]
12
[ "89+37=126", "98+40=138", "138-126=12" ]
Current State: 12:[89, 37, 98, 40], Operations: [] Exploring Operation: 89+37=126, Resulting Numbers: [98, 40, 126] Generated Node #2: [98, 40, 126] from Operation: 89+37=126 Current State: 12:[98, 40, 126], Operations: ['89+37=126'] Exploring Operation: 98+40=138, Resulting Numbers: [126, 138] Generated Node #3: [126, 138] from Operation: 98+40=138 Current State: 12:[126, 138], Operations: ['89+37=126', '98+40=138'] Exploring Operation: 138-126=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 97, 81, 9, 83 ]
86
[ "97+81=178", "9+83=92", "178-92=86" ]
Current State: 86:[97, 81, 9, 83], Operations: [] Exploring Operation: 97+81=178, Resulting Numbers: [9, 83, 178] Generated Node #2: [9, 83, 178] from Operation: 97+81=178 Current State: 86:[9, 83, 178], Operations: ['97+81=178'] Exploring Operation: 9+83=92, Resulting Numbers: [178, 92] Generated Node #3: [178, 92] from Operation: 9+83=92 Current State: 86:[178, 92], Operations: ['97+81=178', '9+83=92'] Exploring Operation: 178-92=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 1, 24, 4, 9 ]
63
[ "4-1=3", "24*3=72", "72-9=63" ]
Current State: 63:[1, 24, 4, 9], Operations: [] Exploring Operation: 4-1=3, Resulting Numbers: [24, 9, 3] Generated Node #2: [24, 9, 3] from Operation: 4-1=3 Current State: 63:[24, 9, 3], Operations: ['4-1=3'] Exploring Operation: 24*3=72, Resulting Numbers: [9, 72] Generated Node #3: [9, 72] from Operation: 24*3=72 Current State: 63:[9, 72], Operations: ['4-1=3', '24*3=72'] Exploring Operation: 72-9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 27, 99, 80, 61 ]
91
[ "99-27=72", "80-61=19", "72+19=91" ]
Current State: 91:[27, 99, 80, 61], Operations: [] Exploring Operation: 99-27=72, Resulting Numbers: [80, 61, 72] Generated Node #2: [80, 61, 72] from Operation: 99-27=72 Current State: 91:[80, 61, 72], Operations: ['99-27=72'] Exploring Operation: 80-61=19, Resulting Numbers: [72, 19] Generated Node #3: [72, 19] from Operation: 80-61=19 Current State: 91:[72, 19], Operations: ['99-27=72', '80-61=19'] Exploring Operation: 72+19=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 16, 14, 13, 36 ]
21
[ "16-14=2", "36-13=23", "23-2=21" ]
Current State: 21:[16, 14, 13, 36], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [13, 36, 2] Generated Node #2: [13, 36, 2] from Operation: 16-14=2 Current State: 21:[13, 36, 2], Operations: ['16-14=2'] Exploring Operation: 36-13=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 36-13=23 Current State: 21:[2, 23], Operations: ['16-14=2', '36-13=23'] Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 24, 36, 60, 30 ]
12
[ "24*60=1440", "1440/30=48", "48-36=12" ]
Current State: 12:[24, 36, 60, 30], Operations: [] Exploring Operation: 24*60=1440, Resulting Numbers: [36, 30, 1440] Generated Node #2: [36, 30, 1440] from Operation: 24*60=1440 Current State: 12:[36, 30, 1440], Operations: ['24*60=1440'] Exploring Operation: 1440/30=48, Resulting Numbers: [36, 48] Generated Node #3: [36, 48] from Operation: 1440/30=48 Current State: 12:[36, 48], Operations: ['24*60=1440', '1440/30=48'] Exploring Operation: 48-36=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 37, 45, 87, 3 ]
35
[ "87-37=50", "45/3=15", "50-15=35" ]
Current State: 35:[37, 45, 87, 3], Operations: [] Exploring Operation: 87-37=50, Resulting Numbers: [45, 3, 50] Generated Node #2: [45, 3, 50] from Operation: 87-37=50 Current State: 35:[45, 3, 50], Operations: ['87-37=50'] Exploring Operation: 45/3=15, Resulting Numbers: [50, 15] Generated Node #3: [50, 15] from Operation: 45/3=15 Current State: 35:[50, 15], Operations: ['87-37=50', '45/3=15'] Exploring Operation: 50-15=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 53, 44, 78, 7 ]
76
[ "53-44=9", "78+7=85", "85-9=76" ]
Current State: 76:[53, 44, 78, 7], Operations: [] Exploring Operation: 53-44=9, Resulting Numbers: [78, 7, 9] Generated Node #2: [78, 7, 9] from Operation: 53-44=9 Current State: 76:[78, 7, 9], Operations: ['53-44=9'] Exploring Operation: 78+7=85, Resulting Numbers: [9, 85] Generated Node #3: [9, 85] from Operation: 78+7=85 Current State: 76:[9, 85], Operations: ['53-44=9', '78+7=85'] Exploring Operation: 85-9=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 84, 28, 26, 14 ]
36
[ "84/28=3", "26-14=12", "3*12=36" ]
Current State: 36:[84, 28, 26, 14], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [26, 14, 3] Generated Node #2: [26, 14, 3] from Operation: 84/28=3 Current State: 36:[26, 14, 3], Operations: ['84/28=3'] Exploring Operation: 26-14=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 26-14=12 Current State: 36:[3, 12], Operations: ['84/28=3', '26-14=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 59, 77, 93, 45 ]
66
[ "77-59=18", "93-45=48", "18+48=66" ]
Current State: 66:[59, 77, 93, 45], Operations: [] Exploring Operation: 77-59=18, Resulting Numbers: [93, 45, 18] Generated Node #2: [93, 45, 18] from Operation: 77-59=18 Current State: 66:[93, 45, 18], Operations: ['77-59=18'] Exploring Operation: 93-45=48, Resulting Numbers: [18, 48] Generated Node #3: [18, 48] from Operation: 93-45=48 Current State: 66:[18, 48], Operations: ['77-59=18', '93-45=48'] Exploring Operation: 18+48=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 47, 15, 27, 75 ]
100
[ "47-27=20", "75/15=5", "20*5=100" ]
Current State: 100:[47, 15, 27, 75], Operations: [] Exploring Operation: 47-27=20, Resulting Numbers: [15, 75, 20] Generated Node #2: [15, 75, 20] from Operation: 47-27=20 Current State: 100:[15, 75, 20], Operations: ['47-27=20'] Exploring Operation: 75/15=5, Resulting Numbers: [20, 5] Generated Node #3: [20, 5] from Operation: 75/15=5 Current State: 100:[20, 5], Operations: ['47-27=20', '75/15=5'] Exploring Operation: 20*5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 11, 5, 90, 55 ]
13
[ "11*90=990", "990/55=18", "18-5=13" ]
Current State: 13:[11, 5, 90, 55], Operations: [] Exploring Operation: 11*90=990, Resulting Numbers: [5, 55, 990] Generated Node #2: [5, 55, 990] from Operation: 11*90=990 Current State: 13:[5, 55, 990], Operations: ['11*90=990'] Exploring Operation: 990/55=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 990/55=18 Current State: 13:[5, 18], Operations: ['11*90=990', '990/55=18'] Exploring Operation: 18-5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 50, 16, 52, 11 ]
42
[ "16-11=5", "50/5=10", "52-10=42" ]
Current State: 42:[50, 16, 52, 11], Operations: [] Exploring Operation: 16-11=5, Resulting Numbers: [50, 52, 5] Generated Node #2: [50, 52, 5] from Operation: 16-11=5 Current State: 42:[50, 52, 5], Operations: ['16-11=5'] Exploring Operation: 50/5=10, Resulting Numbers: [52, 10] Generated Node #3: [52, 10] from Operation: 50/5=10 Current State: 42:[52, 10], Operations: ['16-11=5', '50/5=10'] Exploring Operation: 52-10=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 40, 9, 35, 8 ]
39
[ "40/8=5", "9+35=44", "44-5=39" ]
Current State: 39:[40, 9, 35, 8], Operations: [] Exploring Operation: 40/8=5, Resulting Numbers: [9, 35, 5] Generated Node #2: [9, 35, 5] from Operation: 40/8=5 Current State: 39:[9, 35, 5], Operations: ['40/8=5'] Exploring Operation: 9+35=44, Resulting Numbers: [5, 44] Generated Node #3: [5, 44] from Operation: 9+35=44 Current State: 39:[5, 44], Operations: ['40/8=5', '9+35=44'] Exploring Operation: 44-5=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 58, 90, 2, 2 ]
76
[ "58+90=148", "148/2=74", "2+74=76" ]
Current State: 76:[58, 90, 2, 2], Operations: [] Exploring Operation: 58+90=148, Resulting Numbers: [2, 2, 148] Generated Node #2: [2, 2, 148] from Operation: 58+90=148 Current State: 76:[2, 2, 148], Operations: ['58+90=148'] Exploring Operation: 148/2=74, Resulting Numbers: [74] 74,76 equal: Goal Reached Exploring Operation: 2+74=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 13, 44, 2, 14 ]
43
[ "44-13=31", "14-2=12", "31+12=43" ]
Current State: 43:[13, 44, 2, 14], Operations: [] Exploring Operation: 44-13=31, Resulting Numbers: [2, 14, 31] Generated Node #2: [2, 14, 31] from Operation: 44-13=31 Current State: 43:[2, 14, 31], Operations: ['44-13=31'] Exploring Operation: 14-2=12, Resulting Numbers: [31, 12] Generated Node #3: [31, 12] from Operation: 14-2=12 Current State: 43:[31, 12], Operations: ['44-13=31', '14-2=12'] Exploring Operation: 31+12=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 23, 56, 65, 8 ]
22
[ "23+56=79", "65-8=57", "79-57=22" ]
Current State: 22:[23, 56, 65, 8], Operations: [] Exploring Operation: 23+56=79, Resulting Numbers: [65, 8, 79] Generated Node #2: [65, 8, 79] from Operation: 23+56=79 Current State: 22:[65, 8, 79], Operations: ['23+56=79'] Exploring Operation: 65-8=57, Resulting Numbers: [79, 57] Generated Node #3: [79, 57] from Operation: 65-8=57 Current State: 22:[79, 57], Operations: ['23+56=79', '65-8=57'] Exploring Operation: 79-57=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 69, 63, 65, 71 ]
22
[ "69+63=132", "71-65=6", "132/6=22" ]
Current State: 22:[69, 63, 65, 71], Operations: [] Exploring Operation: 69+63=132, Resulting Numbers: [65, 71, 132] Generated Node #2: [65, 71, 132] from Operation: 69+63=132 Current State: 22:[65, 71, 132], Operations: ['69+63=132'] Exploring Operation: 71-65=6, Resulting Numbers: [132, 6] Generated Node #3: [132, 6] from Operation: 71-65=6 Current State: 22:[132, 6], Operations: ['69+63=132', '71-65=6'] Exploring Operation: 132/6=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 54, 20, 63, 86 ]
94
[ "63-54=9", "20*9=180", "180-86=94" ]
Current State: 94:[54, 20, 63, 86], Operations: [] Exploring Operation: 63-54=9, Resulting Numbers: [20, 86, 9] Generated Node #2: [20, 86, 9] from Operation: 63-54=9 Current State: 94:[20, 86, 9], Operations: ['63-54=9'] Exploring Operation: 20*9=180, Resulting Numbers: [86, 180] Generated Node #3: [86, 180] from Operation: 20*9=180 Current State: 94:[86, 180], Operations: ['63-54=9', '20*9=180'] Exploring Operation: 180-86=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4