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
[ 9, 30, 20, 32 ]
90
[ "9+20=29", "32-29=3", "30*3=90" ]
Current State: 90:[9, 30, 20, 32], Operations: [] Exploring Operation: 9+20=29, Resulting Numbers: [30, 32, 29] Generated Node #2: [30, 32, 29] from Operation: 9+20=29 Current State: 90:[30, 32, 29], Operations: ['9+20=29'] Exploring Operation: 32-29=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 32-29=3 Current State: 90:[30, 3], Operations: ['9+20=29', '32-29=3'] Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 64, 33, 24, 7 ]
66
[ "64+33=97", "24+7=31", "97-31=66" ]
Current State: 66:[64, 33, 24, 7], Operations: [] Exploring Operation: 64+33=97, Resulting Numbers: [24, 7, 97] Generated Node #2: [24, 7, 97] from Operation: 64+33=97 Current State: 66:[24, 7, 97], Operations: ['64+33=97'] Exploring Operation: 24+7=31, Resulting Numbers: [97, 31] Generated Node #3: [97, 31] from Operation: 24+7=31 Current State: 66:[97, 31], Operations: ['64+33=97', '24+7=31'] Exploring Operation: 97-31=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 46, 35, 66, 29 ]
84
[ "46-35=11", "66+29=95", "95-11=84" ]
Current State: 84:[46, 35, 66, 29], Operations: [] Exploring Operation: 46-35=11, Resulting Numbers: [66, 29, 11] Generated Node #2: [66, 29, 11] from Operation: 46-35=11 Current State: 84:[66, 29, 11], Operations: ['46-35=11'] Exploring Operation: 66+29=95, Resulting Numbers: [11, 95] Generated Node #3: [11, 95] from Operation: 66+29=95 Current State: 84:[11, 95], Operations: ['46-35=11', '66+29=95'] Exploring Operation: 95-11=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 63, 59, 61, 35 ]
11
[ "63-61=2", "35*2=70", "70-59=11" ]
Current State: 11:[63, 59, 61, 35], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [59, 35, 2] Generated Node #2: [59, 35, 2] from Operation: 63-61=2 Current State: 11:[59, 35, 2], Operations: ['63-61=2'] Exploring Operation: 35*2=70, Resulting Numbers: [59, 70] Generated Node #3: [59, 70] from Operation: 35*2=70 Current State: 11:[59, 70], Operations: ['63-61=2', '35*2=70'] Exploring Operation: 70-59=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 79, 5, 4, 1 ]
87
[ "79+5=84", "4-1=3", "84+3=87" ]
Current State: 87:[79, 5, 4, 1], Operations: [] Exploring Operation: 79+5=84, Resulting Numbers: [4, 1, 84] Generated Node #2: [4, 1, 84] from Operation: 79+5=84 Current State: 87:[4, 1, 84], Operations: ['79+5=84'] Exploring Operation: 4-1=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 4-1=3 Current State: 87:[84, 3], Operations: ['79+5=84', '4-1=3'] Exploring Operation: 84+3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 44, 36, 18, 19 ]
44
[ "36-18=18", "19-18=1", "44*1=44" ]
Current State: 44:[44, 36, 18, 19], Operations: [] Exploring Operation: 36-18=18, Resulting Numbers: [44, 19, 18] Generated Node #2: [44, 19, 18] from Operation: 36-18=18 Current State: 44:[44, 19, 18], Operations: ['36-18=18'] Exploring Operation: 19-18=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 19-18=1 Current State: 44:[44, 1], Operations: ['36-18=18', '19-18=1'] Exploring Operation: 44*1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 81, 12, 7, 27 ]
73
[ "81+12=93", "27-7=20", "93-20=73" ]
Current State: 73:[81, 12, 7, 27], Operations: [] Exploring Operation: 81+12=93, Resulting Numbers: [7, 27, 93] Generated Node #2: [7, 27, 93] from Operation: 81+12=93 Current State: 73:[7, 27, 93], Operations: ['81+12=93'] Exploring Operation: 27-7=20, Resulting Numbers: [93, 20] Generated Node #3: [93, 20] from Operation: 27-7=20 Current State: 73:[93, 20], Operations: ['81+12=93', '27-7=20'] Exploring Operation: 93-20=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 41, 77, 75, 52 ]
82
[ "52-41=11", "77/11=7", "75+7=82" ]
Current State: 82:[41, 77, 75, 52], Operations: [] Exploring Operation: 52-41=11, Resulting Numbers: [77, 75, 11] Generated Node #2: [77, 75, 11] from Operation: 52-41=11 Current State: 82:[77, 75, 11], Operations: ['52-41=11'] Exploring Operation: 77/11=7, Resulting Numbers: [75, 7] Generated Node #3: [75, 7] from Operation: 77/11=7 Current State: 82:[75, 7], Operations: ['52-41=11', '77/11=7'] Exploring Operation: 75+7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 22, 98, 71, 47 ]
49
[ "71-22=49", "98/49=2", "47+2=49" ]
Current State: 49:[22, 98, 71, 47], Operations: [] Exploring Operation: 71-22=49, Resulting Numbers: [98, 47, 49] Generated Node #2: [98, 47, 49] from Operation: 71-22=49 Current State: 49:[98, 47, 49], Operations: ['71-22=49'] Exploring Operation: 98/49=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 98/49=2 Current State: 49:[47, 2], Operations: ['71-22=49', '98/49=2'] Exploring Operation: 47+2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 15, 47, 24, 45 ]
41
[ "15+47=62", "45-24=21", "62-21=41" ]
Current State: 41:[15, 47, 24, 45], Operations: [] Exploring Operation: 15+47=62, Resulting Numbers: [24, 45, 62] Generated Node #2: [24, 45, 62] from Operation: 15+47=62 Current State: 41:[24, 45, 62], Operations: ['15+47=62'] Exploring Operation: 45-24=21, Resulting Numbers: [62, 21] Generated Node #3: [62, 21] from Operation: 45-24=21 Current State: 41:[62, 21], Operations: ['15+47=62', '45-24=21'] Exploring Operation: 62-21=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 81, 21, 34, 24 ]
44
[ "81+21=102", "34+24=58", "102-58=44" ]
Current State: 44:[81, 21, 34, 24], Operations: [] Exploring Operation: 81+21=102, Resulting Numbers: [34, 24, 102] Generated Node #2: [34, 24, 102] from Operation: 81+21=102 Current State: 44:[34, 24, 102], Operations: ['81+21=102'] Exploring Operation: 34+24=58, Resulting Numbers: [102, 58] Generated Node #3: [102, 58] from Operation: 34+24=58 Current State: 44:[102, 58], Operations: ['81+21=102', '34+24=58'] Exploring Operation: 102-58=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 13, 71, 15, 52 ]
45
[ "15-13=2", "52/2=26", "71-26=45" ]
Current State: 45:[13, 71, 15, 52], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [71, 52, 2] Generated Node #2: [71, 52, 2] from Operation: 15-13=2 Current State: 45:[71, 52, 2], Operations: ['15-13=2'] Exploring Operation: 52/2=26, Resulting Numbers: [71, 26] Generated Node #3: [71, 26] from Operation: 52/2=26 Current State: 45:[71, 26], Operations: ['15-13=2', '52/2=26'] Exploring Operation: 71-26=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 42, 5, 6, 6 ]
11
[ "42+5=47", "6*6=36", "47-36=11" ]
Current State: 11:[42, 5, 6, 6], Operations: [] Exploring Operation: 42+5=47, Resulting Numbers: [6, 6, 47] Generated Node #2: [6, 6, 47] from Operation: 42+5=47 Current State: 11:[6, 6, 47], Operations: ['42+5=47'] Exploring Operation: 6*6=36, Resulting Numbers: [47, 36] Generated Node #3: [47, 36] from Operation: 6*6=36 Current State: 11:[47, 36], Operations: ['42+5=47', '6*6=36'] Exploring Operation: 47-36=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 14, 64, 84, 90 ]
32
[ "84/14=6", "90-64=26", "6+26=32" ]
Current State: 32:[14, 64, 84, 90], Operations: [] Exploring Operation: 84/14=6, Resulting Numbers: [64, 90, 6] Generated Node #2: [64, 90, 6] from Operation: 84/14=6 Current State: 32:[64, 90, 6], Operations: ['84/14=6'] Exploring Operation: 90-64=26, Resulting Numbers: [6, 26] Generated Node #3: [6, 26] from Operation: 90-64=26 Current State: 32:[6, 26], Operations: ['84/14=6', '90-64=26'] Exploring Operation: 6+26=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 10, 94, 3, 97 ]
60
[ "94-3=91", "97-91=6", "10*6=60" ]
Current State: 60:[10, 94, 3, 97], Operations: [] Exploring Operation: 94-3=91, Resulting Numbers: [10, 97, 91] Generated Node #2: [10, 97, 91] from Operation: 94-3=91 Current State: 60:[10, 97, 91], Operations: ['94-3=91'] Exploring Operation: 97-91=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 97-91=6 Current State: 60:[10, 6], Operations: ['94-3=91', '97-91=6'] Exploring Operation: 10*6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 33, 28, 14, 77 ]
88
[ "77-33=44", "28/14=2", "44*2=88" ]
Current State: 88:[33, 28, 14, 77], Operations: [] Exploring Operation: 77-33=44, Resulting Numbers: [28, 14, 44] Generated Node #2: [28, 14, 44] from Operation: 77-33=44 Current State: 88:[28, 14, 44], Operations: ['77-33=44'] Exploring Operation: 28/14=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 28/14=2 Current State: 88:[44, 2], Operations: ['77-33=44', '28/14=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 6, 42, 64, 48 ]
98
[ "48/6=8", "42+64=106", "106-8=98" ]
Current State: 98:[6, 42, 64, 48], Operations: [] Exploring Operation: 48/6=8, Resulting Numbers: [42, 64, 8] Generated Node #2: [42, 64, 8] from Operation: 48/6=8 Current State: 98:[42, 64, 8], Operations: ['48/6=8'] Exploring Operation: 42+64=106, Resulting Numbers: [8, 106] Generated Node #3: [8, 106] from Operation: 42+64=106 Current State: 98:[8, 106], Operations: ['48/6=8', '42+64=106'] Exploring Operation: 106-8=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 23, 70, 33, 78 ]
42
[ "78-23=55", "70*33=2310", "2310/55=42" ]
Current State: 42:[23, 70, 33, 78], Operations: [] Exploring Operation: 78-23=55, Resulting Numbers: [70, 33, 55] Generated Node #2: [70, 33, 55] from Operation: 78-23=55 Current State: 42:[70, 33, 55], Operations: ['78-23=55'] Exploring Operation: 70*33=2310, Resulting Numbers: [55, 2310] Generated Node #3: [55, 2310] from Operation: 70*33=2310 Current State: 42:[55, 2310], Operations: ['78-23=55', '70*33=2310'] Exploring Operation: 2310/55=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 26, 27, 9, 70 ]
41
[ "70-26=44", "27/9=3", "44-3=41" ]
Current State: 41:[26, 27, 9, 70], Operations: [] Exploring Operation: 70-26=44, Resulting Numbers: [27, 9, 44] Generated Node #2: [27, 9, 44] from Operation: 70-26=44 Current State: 41:[27, 9, 44], Operations: ['70-26=44'] Exploring Operation: 27/9=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 27/9=3 Current State: 41:[44, 3], Operations: ['70-26=44', '27/9=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 8, 34, 32, 82 ]
37
[ "82-8=74", "34-32=2", "74/2=37" ]
Current State: 37:[8, 34, 32, 82], Operations: [] Exploring Operation: 82-8=74, Resulting Numbers: [34, 32, 74] Generated Node #2: [34, 32, 74] from Operation: 82-8=74 Current State: 37:[34, 32, 74], Operations: ['82-8=74'] Exploring Operation: 34-32=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 34-32=2 Current State: 37:[74, 2], Operations: ['82-8=74', '34-32=2'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 67, 23, 65, 20 ]
17
[ "67-65=2", "20*2=40", "40-23=17" ]
Current State: 17:[67, 23, 65, 20], Operations: [] Exploring Operation: 67-65=2, Resulting Numbers: [23, 20, 2] Generated Node #2: [23, 20, 2] from Operation: 67-65=2 Current State: 17:[23, 20, 2], Operations: ['67-65=2'] Exploring Operation: 20*2=40, Resulting Numbers: [23, 40] Generated Node #3: [23, 40] from Operation: 20*2=40 Current State: 17:[23, 40], Operations: ['67-65=2', '20*2=40'] Exploring Operation: 40-23=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 65, 54, 42, 11 ]
66
[ "65+54=119", "42+11=53", "119-53=66" ]
Current State: 66:[65, 54, 42, 11], Operations: [] Exploring Operation: 65+54=119, Resulting Numbers: [42, 11, 119] Generated Node #2: [42, 11, 119] from Operation: 65+54=119 Current State: 66:[42, 11, 119], Operations: ['65+54=119'] Exploring Operation: 42+11=53, Resulting Numbers: [119, 53] Generated Node #3: [119, 53] from Operation: 42+11=53 Current State: 66:[119, 53], Operations: ['65+54=119', '42+11=53'] Exploring Operation: 119-53=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 62, 40, 26, 56 ]
52
[ "62-40=22", "56-26=30", "22+30=52" ]
Current State: 52:[62, 40, 26, 56], Operations: [] Exploring Operation: 62-40=22, Resulting Numbers: [26, 56, 22] Generated Node #2: [26, 56, 22] from Operation: 62-40=22 Current State: 52:[26, 56, 22], Operations: ['62-40=22'] Exploring Operation: 56-26=30, Resulting Numbers: [22, 30] Generated Node #3: [22, 30] from Operation: 56-26=30 Current State: 52:[22, 30], Operations: ['62-40=22', '56-26=30'] Exploring Operation: 22+30=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 61, 51, 84, 1 ]
29
[ "61+51=112", "84-1=83", "112-83=29" ]
Current State: 29:[61, 51, 84, 1], Operations: [] Exploring Operation: 61+51=112, Resulting Numbers: [84, 1, 112] Generated Node #2: [84, 1, 112] from Operation: 61+51=112 Current State: 29:[84, 1, 112], Operations: ['61+51=112'] Exploring Operation: 84-1=83, Resulting Numbers: [112, 83] Generated Node #3: [112, 83] from Operation: 84-1=83 Current State: 29:[112, 83], Operations: ['61+51=112', '84-1=83'] Exploring Operation: 112-83=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 62, 34, 86, 99 ]
83
[ "62+34=96", "99-86=13", "96-13=83" ]
Current State: 83:[62, 34, 86, 99], Operations: [] Exploring Operation: 62+34=96, Resulting Numbers: [86, 99, 96] Generated Node #2: [86, 99, 96] from Operation: 62+34=96 Current State: 83:[86, 99, 96], Operations: ['62+34=96'] Exploring Operation: 99-86=13, Resulting Numbers: [96, 13] Generated Node #3: [96, 13] from Operation: 99-86=13 Current State: 83:[96, 13], Operations: ['62+34=96', '99-86=13'] Exploring Operation: 96-13=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 5, 21, 96 ]
59
[ "2*21=42", "5+96=101", "101-42=59" ]
Current State: 59:[2, 5, 21, 96], Operations: [] Exploring Operation: 2*21=42, Resulting Numbers: [5, 96, 42] Generated Node #2: [5, 96, 42] from Operation: 2*21=42 Current State: 59:[5, 96, 42], Operations: ['2*21=42'] Exploring Operation: 5+96=101, Resulting Numbers: [42, 101] Generated Node #3: [42, 101] from Operation: 5+96=101 Current State: 59:[42, 101], Operations: ['2*21=42', '5+96=101'] Exploring Operation: 101-42=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 89, 32, 2, 35 ]
70
[ "89-35=54", "32/2=16", "54+16=70" ]
Current State: 70:[89, 32, 2, 35], Operations: [] Exploring Operation: 89-35=54, Resulting Numbers: [32, 2, 54] Generated Node #2: [32, 2, 54] from Operation: 89-35=54 Current State: 70:[32, 2, 54], Operations: ['89-35=54'] Exploring Operation: 32/2=16, Resulting Numbers: [54, 16] Generated Node #3: [54, 16] from Operation: 32/2=16 Current State: 70:[54, 16], Operations: ['89-35=54', '32/2=16'] Exploring Operation: 54+16=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 20, 9, 2, 68 ]
46
[ "20-9=11", "2*11=22", "68-22=46" ]
Current State: 46:[20, 9, 2, 68], Operations: [] Exploring Operation: 20-9=11, Resulting Numbers: [2, 68, 11] Generated Node #2: [2, 68, 11] from Operation: 20-9=11 Current State: 46:[2, 68, 11], Operations: ['20-9=11'] Exploring Operation: 2*11=22, Resulting Numbers: [68, 22] Generated Node #3: [68, 22] from Operation: 2*11=22 Current State: 46:[68, 22], Operations: ['20-9=11', '2*11=22'] Exploring Operation: 68-22=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 87, 6, 41, 79 ]
67
[ "41+79=120", "120/6=20", "87-20=67" ]
Current State: 67:[87, 6, 41, 79], Operations: [] Exploring Operation: 41+79=120, Resulting Numbers: [87, 6, 120] Generated Node #2: [87, 6, 120] from Operation: 41+79=120 Current State: 67:[87, 6, 120], Operations: ['41+79=120'] Exploring Operation: 120/6=20, Resulting Numbers: [87, 20] Generated Node #3: [87, 20] from Operation: 120/6=20 Current State: 67:[87, 20], Operations: ['41+79=120', '120/6=20'] Exploring Operation: 87-20=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 31, 3, 80, 21 ]
31
[ "31-3=28", "80-21=59", "59-28=31" ]
Current State: 31:[31, 3, 80, 21], Operations: [] Exploring Operation: 31-3=28, Resulting Numbers: [80, 21, 28] Generated Node #2: [80, 21, 28] from Operation: 31-3=28 Current State: 31:[80, 21, 28], Operations: ['31-3=28'] Exploring Operation: 80-21=59, Resulting Numbers: [28, 59] Generated Node #3: [28, 59] from Operation: 80-21=59 Current State: 31:[28, 59], Operations: ['31-3=28', '80-21=59'] Exploring Operation: 59-28=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 28, 50, 58, 88 ]
25
[ "28+58=86", "88-86=2", "50/2=25" ]
Current State: 25:[28, 50, 58, 88], Operations: [] Exploring Operation: 28+58=86, Resulting Numbers: [50, 88, 86] Generated Node #2: [50, 88, 86] from Operation: 28+58=86 Current State: 25:[50, 88, 86], Operations: ['28+58=86'] Exploring Operation: 88-86=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 88-86=2 Current State: 25:[50, 2], Operations: ['28+58=86', '88-86=2'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 87, 65, 69, 13 ]
70
[ "87+65=152", "69+13=82", "152-82=70" ]
Current State: 70:[87, 65, 69, 13], Operations: [] Exploring Operation: 87+65=152, Resulting Numbers: [69, 13, 152] Generated Node #2: [69, 13, 152] from Operation: 87+65=152 Current State: 70:[69, 13, 152], Operations: ['87+65=152'] Exploring Operation: 69+13=82, Resulting Numbers: [152, 82] Generated Node #3: [152, 82] from Operation: 69+13=82 Current State: 70:[152, 82], Operations: ['87+65=152', '69+13=82'] Exploring Operation: 152-82=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 85, 20, 51, 15 ]
46
[ "85+15=100", "100/20=5", "51-5=46" ]
Current State: 46:[85, 20, 51, 15], Operations: [] Exploring Operation: 85+15=100, Resulting Numbers: [20, 51, 100] Generated Node #2: [20, 51, 100] from Operation: 85+15=100 Current State: 46:[20, 51, 100], Operations: ['85+15=100'] Exploring Operation: 100/20=5, Resulting Numbers: [51, 5] Generated Node #3: [51, 5] from Operation: 100/20=5 Current State: 46:[51, 5], Operations: ['85+15=100', '100/20=5'] Exploring Operation: 51-5=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 7, 30, 96, 43 ]
71
[ "7*30=210", "96+43=139", "210-139=71" ]
Current State: 71:[7, 30, 96, 43], Operations: [] Exploring Operation: 7*30=210, Resulting Numbers: [96, 43, 210] Generated Node #2: [96, 43, 210] from Operation: 7*30=210 Current State: 71:[96, 43, 210], Operations: ['7*30=210'] Exploring Operation: 96+43=139, Resulting Numbers: [210, 139] Generated Node #3: [210, 139] from Operation: 96+43=139 Current State: 71:[210, 139], Operations: ['7*30=210', '96+43=139'] Exploring Operation: 210-139=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 39, 56, 90, 52 ]
21
[ "56-39=17", "90-52=38", "38-17=21" ]
Current State: 21:[39, 56, 90, 52], Operations: [] Exploring Operation: 56-39=17, Resulting Numbers: [90, 52, 17] Generated Node #2: [90, 52, 17] from Operation: 56-39=17 Current State: 21:[90, 52, 17], Operations: ['56-39=17'] Exploring Operation: 90-52=38, Resulting Numbers: [17, 38] Generated Node #3: [17, 38] from Operation: 90-52=38 Current State: 21:[17, 38], Operations: ['56-39=17', '90-52=38'] Exploring Operation: 38-17=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 78, 3, 88, 21 ]
69
[ "78-21=57", "57/3=19", "88-19=69" ]
Current State: 69:[78, 3, 88, 21], Operations: [] Exploring Operation: 78-21=57, Resulting Numbers: [3, 88, 57] Generated Node #2: [3, 88, 57] from Operation: 78-21=57 Current State: 69:[3, 88, 57], Operations: ['78-21=57'] Exploring Operation: 57/3=19, Resulting Numbers: [88, 19] Generated Node #3: [88, 19] from Operation: 57/3=19 Current State: 69:[88, 19], Operations: ['78-21=57', '57/3=19'] Exploring Operation: 88-19=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 49, 6, 48, 24 ]
33
[ "49-24=25", "48/6=8", "25+8=33" ]
Current State: 33:[49, 6, 48, 24], Operations: [] Exploring Operation: 49-24=25, Resulting Numbers: [6, 48, 25] Generated Node #2: [6, 48, 25] from Operation: 49-24=25 Current State: 33:[6, 48, 25], Operations: ['49-24=25'] Exploring Operation: 48/6=8, Resulting Numbers: [25, 8] Generated Node #3: [25, 8] from Operation: 48/6=8 Current State: 33:[25, 8], Operations: ['49-24=25', '48/6=8'] Exploring Operation: 25+8=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 42, 21, 90, 58 ]
14
[ "21*58=1218", "42+1218=1260", "1260/90=14" ]
Current State: 14:[42, 21, 90, 58], Operations: [] Exploring Operation: 21*58=1218, Resulting Numbers: [42, 90, 1218] Generated Node #2: [42, 90, 1218] from Operation: 21*58=1218 Current State: 14:[42, 90, 1218], Operations: ['21*58=1218'] Exploring Operation: 42+1218=1260, Resulting Numbers: [90, 1260] Generated Node #3: [90, 1260] from Operation: 42+1218=1260 Current State: 14:[90, 1260], Operations: ['21*58=1218', '42+1218=1260'] Exploring Operation: 1260/90=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 39, 42, 9, 36 ]
69
[ "39-36=3", "9*3=27", "42+27=69" ]
Current State: 69:[39, 42, 9, 36], Operations: [] Exploring Operation: 39-36=3, Resulting Numbers: [42, 9, 3] Generated Node #2: [42, 9, 3] from Operation: 39-36=3 Current State: 69:[42, 9, 3], Operations: ['39-36=3'] Exploring Operation: 9*3=27, Resulting Numbers: [42, 27] Generated Node #3: [42, 27] from Operation: 9*3=27 Current State: 69:[42, 27], Operations: ['39-36=3', '9*3=27'] Exploring Operation: 42+27=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 43, 57, 96, 45 ]
65
[ "57-43=14", "96-45=51", "14+51=65" ]
Current State: 65:[43, 57, 96, 45], Operations: [] Exploring Operation: 57-43=14, Resulting Numbers: [96, 45, 14] Generated Node #2: [96, 45, 14] from Operation: 57-43=14 Current State: 65:[96, 45, 14], Operations: ['57-43=14'] Exploring Operation: 96-45=51, Resulting Numbers: [14, 51] Generated Node #3: [14, 51] from Operation: 96-45=51 Current State: 65:[14, 51], Operations: ['57-43=14', '96-45=51'] Exploring Operation: 14+51=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 68, 47, 4, 64 ]
46
[ "68-4=64", "64/64=1", "47-1=46" ]
Current State: 46:[68, 47, 4, 64], Operations: [] Exploring Operation: 68-4=64, Resulting Numbers: [47, 64, 64] Generated Node #2: [47, 64, 64] from Operation: 68-4=64 Current State: 46:[47, 64, 64], Operations: ['68-4=64'] Exploring Operation: 64/64=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 64/64=1 Current State: 46:[47, 1], Operations: ['68-4=64', '64/64=1'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 61, 71, 37, 80 ]
33
[ "71-61=10", "80-37=43", "43-10=33" ]
Current State: 33:[61, 71, 37, 80], Operations: [] Exploring Operation: 71-61=10, Resulting Numbers: [37, 80, 10] Generated Node #2: [37, 80, 10] from Operation: 71-61=10 Current State: 33:[37, 80, 10], Operations: ['71-61=10'] Exploring Operation: 80-37=43, Resulting Numbers: [10, 43] Generated Node #3: [10, 43] from Operation: 80-37=43 Current State: 33:[10, 43], Operations: ['71-61=10', '80-37=43'] Exploring Operation: 43-10=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 66, 54, 65, 84 ]
78
[ "65-54=11", "66/11=6", "84-6=78" ]
Current State: 78:[66, 54, 65, 84], Operations: [] Exploring Operation: 65-54=11, Resulting Numbers: [66, 84, 11] Generated Node #2: [66, 84, 11] from Operation: 65-54=11 Current State: 78:[66, 84, 11], Operations: ['65-54=11'] Exploring Operation: 66/11=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 66/11=6 Current State: 78:[84, 6], Operations: ['65-54=11', '66/11=6'] Exploring Operation: 84-6=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 9, 13, 83, 6 ]
93
[ "13-9=4", "83+6=89", "4+89=93" ]
Current State: 93:[9, 13, 83, 6], Operations: [] Exploring Operation: 13-9=4, Resulting Numbers: [83, 6, 4] Generated Node #2: [83, 6, 4] from Operation: 13-9=4 Current State: 93:[83, 6, 4], Operations: ['13-9=4'] Exploring Operation: 83+6=89, Resulting Numbers: [4, 89] Generated Node #3: [4, 89] from Operation: 83+6=89 Current State: 93:[4, 89], Operations: ['13-9=4', '83+6=89'] Exploring Operation: 4+89=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 11, 12, 17, 19 ]
94
[ "19-12=7", "11*7=77", "17+77=94" ]
Current State: 94:[11, 12, 17, 19], Operations: [] Exploring Operation: 19-12=7, Resulting Numbers: [11, 17, 7] Generated Node #2: [11, 17, 7] from Operation: 19-12=7 Current State: 94:[11, 17, 7], Operations: ['19-12=7'] Exploring Operation: 11*7=77, Resulting Numbers: [17, 77] Generated Node #3: [17, 77] from Operation: 11*7=77 Current State: 94:[17, 77], Operations: ['19-12=7', '11*7=77'] Exploring Operation: 17+77=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 6, 9, 70, 95 ]
28
[ "9-6=3", "95-70=25", "3+25=28" ]
Current State: 28:[6, 9, 70, 95], Operations: [] Exploring Operation: 9-6=3, Resulting Numbers: [70, 95, 3] Generated Node #2: [70, 95, 3] from Operation: 9-6=3 Current State: 28:[70, 95, 3], Operations: ['9-6=3'] Exploring Operation: 95-70=25, Resulting Numbers: [3, 25] Generated Node #3: [3, 25] from Operation: 95-70=25 Current State: 28:[3, 25], Operations: ['9-6=3', '95-70=25'] Exploring Operation: 3+25=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 5, 14, 66, 61 ]
11
[ "66-61=5", "5*5=25", "25-14=11" ]
Current State: 11:[5, 14, 66, 61], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [5, 14, 5] Generated Node #2: [5, 14, 5] from Operation: 66-61=5 Current State: 11:[5, 14, 5], Operations: ['66-61=5'] Exploring Operation: 5*5=25, Resulting Numbers: [14, 25] Generated Node #3: [14, 25] from Operation: 5*5=25 Current State: 11:[14, 25], Operations: ['66-61=5', '5*5=25'] Exploring Operation: 25-14=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 88, 74, 51, 22 ]
89
[ "88+74=162", "51+22=73", "162-73=89" ]
Current State: 89:[88, 74, 51, 22], Operations: [] Exploring Operation: 88+74=162, Resulting Numbers: [51, 22, 162] Generated Node #2: [51, 22, 162] from Operation: 88+74=162 Current State: 89:[51, 22, 162], Operations: ['88+74=162'] Exploring Operation: 51+22=73, Resulting Numbers: [162, 73] Generated Node #3: [162, 73] from Operation: 51+22=73 Current State: 89:[162, 73], Operations: ['88+74=162', '51+22=73'] Exploring Operation: 162-73=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 75, 89, 81, 30 ]
91
[ "81-75=6", "30*6=180", "180-89=91" ]
Current State: 91:[75, 89, 81, 30], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [89, 30, 6] Generated Node #2: [89, 30, 6] from Operation: 81-75=6 Current State: 91:[89, 30, 6], Operations: ['81-75=6'] Exploring Operation: 30*6=180, Resulting Numbers: [89, 180] Generated Node #3: [89, 180] from Operation: 30*6=180 Current State: 91:[89, 180], Operations: ['81-75=6', '30*6=180'] Exploring Operation: 180-89=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 68, 16, 14, 25 ]
45
[ "68+16=84", "14+25=39", "84-39=45" ]
Current State: 45:[68, 16, 14, 25], Operations: [] Exploring Operation: 68+16=84, Resulting Numbers: [14, 25, 84] Generated Node #2: [14, 25, 84] from Operation: 68+16=84 Current State: 45:[14, 25, 84], Operations: ['68+16=84'] Exploring Operation: 14+25=39, Resulting Numbers: [84, 39] Generated Node #3: [84, 39] from Operation: 14+25=39 Current State: 45:[84, 39], Operations: ['68+16=84', '14+25=39'] Exploring Operation: 84-39=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 13, 88, 76, 38 ]
62
[ "13*76=988", "988/38=26", "88-26=62" ]
Current State: 62:[13, 88, 76, 38], Operations: [] Exploring Operation: 13*76=988, Resulting Numbers: [88, 38, 988] Generated Node #2: [88, 38, 988] from Operation: 13*76=988 Current State: 62:[88, 38, 988], Operations: ['13*76=988'] Exploring Operation: 988/38=26, Resulting Numbers: [88, 26] Generated Node #3: [88, 26] from Operation: 988/38=26 Current State: 62:[88, 26], Operations: ['13*76=988', '988/38=26'] Exploring Operation: 88-26=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 49, 74, 77, 70 ]
32
[ "74-49=25", "77-70=7", "25+7=32" ]
Current State: 32:[49, 74, 77, 70], Operations: [] Exploring Operation: 74-49=25, Resulting Numbers: [77, 70, 25] Generated Node #2: [77, 70, 25] from Operation: 74-49=25 Current State: 32:[77, 70, 25], Operations: ['74-49=25'] Exploring Operation: 77-70=7, Resulting Numbers: [25, 7] Generated Node #3: [25, 7] from Operation: 77-70=7 Current State: 32:[25, 7], Operations: ['74-49=25', '77-70=7'] Exploring Operation: 25+7=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 10, 6, 12, 62 ]
46
[ "10-6=4", "62-12=50", "50-4=46" ]
Current State: 46:[10, 6, 12, 62], Operations: [] Exploring Operation: 10-6=4, Resulting Numbers: [12, 62, 4] Generated Node #2: [12, 62, 4] from Operation: 10-6=4 Current State: 46:[12, 62, 4], Operations: ['10-6=4'] Exploring Operation: 62-12=50, Resulting Numbers: [4, 50] Generated Node #3: [4, 50] from Operation: 62-12=50 Current State: 46:[4, 50], Operations: ['10-6=4', '62-12=50'] Exploring Operation: 50-4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 2, 27, 5, 28 ]
57
[ "5-2=3", "28*3=84", "84-27=57" ]
Current State: 57:[2, 27, 5, 28], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [27, 28, 3] Generated Node #2: [27, 28, 3] from Operation: 5-2=3 Current State: 57:[27, 28, 3], Operations: ['5-2=3'] Exploring Operation: 28*3=84, Resulting Numbers: [27, 84] Generated Node #3: [27, 84] from Operation: 28*3=84 Current State: 57:[27, 84], Operations: ['5-2=3', '28*3=84'] Exploring Operation: 84-27=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 63, 62, 93, 83 ]
31
[ "83-62=21", "63/21=3", "93/3=31" ]
Current State: 31:[63, 62, 93, 83], Operations: [] Exploring Operation: 83-62=21, Resulting Numbers: [63, 93, 21] Generated Node #2: [63, 93, 21] from Operation: 83-62=21 Current State: 31:[63, 93, 21], Operations: ['83-62=21'] Exploring Operation: 63/21=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 63/21=3 Current State: 31:[93, 3], Operations: ['83-62=21', '63/21=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 23, 67, 67, 69 ]
69
[ "67-67=0", "23*0=0", "69+0=69" ]
Current State: 69:[23, 67, 67, 69], Operations: [] Exploring Operation: 67-67=0, Resulting Numbers: [23, 69, 0] Generated Node #2: [23, 69, 0] from Operation: 67-67=0 Current State: 69:[23, 69, 0], Operations: ['67-67=0'] Exploring Operation: 23*0=0, Resulting Numbers: [69, 0] Generated Node #3: [69, 0] from Operation: 23*0=0 Current State: 69:[69, 0], Operations: ['67-67=0', '23*0=0'] Exploring Operation: 69+0=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 45, 58, 5, 24 ]
74
[ "45+58=103", "5+24=29", "103-29=74" ]
Current State: 74:[45, 58, 5, 24], Operations: [] Exploring Operation: 45+58=103, Resulting Numbers: [5, 24, 103] Generated Node #2: [5, 24, 103] from Operation: 45+58=103 Current State: 74:[5, 24, 103], Operations: ['45+58=103'] Exploring Operation: 5+24=29, Resulting Numbers: [103, 29] Generated Node #3: [103, 29] from Operation: 5+24=29 Current State: 74:[103, 29], Operations: ['45+58=103', '5+24=29'] Exploring Operation: 103-29=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 37, 56, 5, 39 ]
48
[ "56-39=17", "5*17=85", "85-37=48" ]
Current State: 48:[37, 56, 5, 39], Operations: [] Exploring Operation: 56-39=17, Resulting Numbers: [37, 5, 17] Generated Node #2: [37, 5, 17] from Operation: 56-39=17 Current State: 48:[37, 5, 17], Operations: ['56-39=17'] Exploring Operation: 5*17=85, Resulting Numbers: [37, 85] Generated Node #3: [37, 85] from Operation: 5*17=85 Current State: 48:[37, 85], Operations: ['56-39=17', '5*17=85'] Exploring Operation: 85-37=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 19, 88, 57 ]
88
[ "3*19=57", "88+57=145", "145-57=88" ]
Current State: 88:[3, 19, 88, 57], Operations: [] Exploring Operation: 3*19=57, Resulting Numbers: [88, 57, 57] Generated Node #2: [88, 57, 57] from Operation: 3*19=57 Current State: 88:[88, 57, 57], Operations: ['3*19=57'] Exploring Operation: 88+57=145, Resulting Numbers: [145] 145,88 equal: Goal Reached Exploring Operation: 145-57=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 56, 51, 77, 54 ]
84
[ "56+51=107", "77-54=23", "107-23=84" ]
Current State: 84:[56, 51, 77, 54], Operations: [] Exploring Operation: 56+51=107, Resulting Numbers: [77, 54, 107] Generated Node #2: [77, 54, 107] from Operation: 56+51=107 Current State: 84:[77, 54, 107], Operations: ['56+51=107'] Exploring Operation: 77-54=23, Resulting Numbers: [107, 23] Generated Node #3: [107, 23] from Operation: 77-54=23 Current State: 84:[107, 23], Operations: ['56+51=107', '77-54=23'] Exploring Operation: 107-23=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 89, 43, 42 ]
96
[ "89-43=46", "3*46=138", "138-42=96" ]
Current State: 96:[3, 89, 43, 42], Operations: [] Exploring Operation: 89-43=46, Resulting Numbers: [3, 42, 46] Generated Node #2: [3, 42, 46] from Operation: 89-43=46 Current State: 96:[3, 42, 46], Operations: ['89-43=46'] Exploring Operation: 3*46=138, Resulting Numbers: [42, 138] Generated Node #3: [42, 138] from Operation: 3*46=138 Current State: 96:[42, 138], Operations: ['89-43=46', '3*46=138'] Exploring Operation: 138-42=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 35, 57, 15, 4 ]
68
[ "35*4=140", "57+15=72", "140-72=68" ]
Current State: 68:[35, 57, 15, 4], Operations: [] Exploring Operation: 35*4=140, Resulting Numbers: [57, 15, 140] Generated Node #2: [57, 15, 140] from Operation: 35*4=140 Current State: 68:[57, 15, 140], Operations: ['35*4=140'] Exploring Operation: 57+15=72, Resulting Numbers: [140, 72] Generated Node #3: [140, 72] from Operation: 57+15=72 Current State: 68:[140, 72], Operations: ['35*4=140', '57+15=72'] Exploring Operation: 140-72=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 13, 93, 8, 27 ]
37
[ "93-13=80", "80/8=10", "27+10=37" ]
Current State: 37:[13, 93, 8, 27], Operations: [] Exploring Operation: 93-13=80, Resulting Numbers: [8, 27, 80] Generated Node #2: [8, 27, 80] from Operation: 93-13=80 Current State: 37:[8, 27, 80], Operations: ['93-13=80'] Exploring Operation: 80/8=10, Resulting Numbers: [27, 10] Generated Node #3: [27, 10] from Operation: 80/8=10 Current State: 37:[27, 10], Operations: ['93-13=80', '80/8=10'] Exploring Operation: 27+10=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 87, 94, 51, 18 ]
92
[ "87-51=36", "36/18=2", "94-2=92" ]
Current State: 92:[87, 94, 51, 18], Operations: [] Exploring Operation: 87-51=36, Resulting Numbers: [94, 18, 36] Generated Node #2: [94, 18, 36] from Operation: 87-51=36 Current State: 92:[94, 18, 36], Operations: ['87-51=36'] Exploring Operation: 36/18=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 36/18=2 Current State: 92:[94, 2], Operations: ['87-51=36', '36/18=2'] Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 22, 88, 39, 52 ]
97
[ "22+88=110", "52-39=13", "110-13=97" ]
Current State: 97:[22, 88, 39, 52], Operations: [] Exploring Operation: 22+88=110, Resulting Numbers: [39, 52, 110] Generated Node #2: [39, 52, 110] from Operation: 22+88=110 Current State: 97:[39, 52, 110], Operations: ['22+88=110'] Exploring Operation: 52-39=13, Resulting Numbers: [110, 13] Generated Node #3: [110, 13] from Operation: 52-39=13 Current State: 97:[110, 13], Operations: ['22+88=110', '52-39=13'] Exploring Operation: 110-13=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 7, 72, 6, 55 ]
95
[ "72-55=17", "6*17=102", "102-7=95" ]
Current State: 95:[7, 72, 6, 55], Operations: [] Exploring Operation: 72-55=17, Resulting Numbers: [7, 6, 17] Generated Node #2: [7, 6, 17] from Operation: 72-55=17 Current State: 95:[7, 6, 17], Operations: ['72-55=17'] Exploring Operation: 6*17=102, Resulting Numbers: [7, 102] Generated Node #3: [7, 102] from Operation: 6*17=102 Current State: 95:[7, 102], Operations: ['72-55=17', '6*17=102'] Exploring Operation: 102-7=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 69, 55, 54, 85 ]
93
[ "69+55=124", "85-54=31", "124-31=93" ]
Current State: 93:[69, 55, 54, 85], Operations: [] Exploring Operation: 69+55=124, Resulting Numbers: [54, 85, 124] Generated Node #2: [54, 85, 124] from Operation: 69+55=124 Current State: 93:[54, 85, 124], Operations: ['69+55=124'] Exploring Operation: 85-54=31, Resulting Numbers: [124, 31] Generated Node #3: [124, 31] from Operation: 85-54=31 Current State: 93:[124, 31], Operations: ['69+55=124', '85-54=31'] Exploring Operation: 124-31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 35, 29, 80, 11 ]
16
[ "35-29=6", "11-6=5", "80/5=16" ]
Current State: 16:[35, 29, 80, 11], Operations: [] Exploring Operation: 35-29=6, Resulting Numbers: [80, 11, 6] Generated Node #2: [80, 11, 6] from Operation: 35-29=6 Current State: 16:[80, 11, 6], Operations: ['35-29=6'] Exploring Operation: 11-6=5, Resulting Numbers: [80, 5] Generated Node #3: [80, 5] from Operation: 11-6=5 Current State: 16:[80, 5], Operations: ['35-29=6', '11-6=5'] Exploring Operation: 80/5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 11, 37, 77, 7 ]
36
[ "11+37=48", "77+7=84", "84-48=36" ]
Current State: 36:[11, 37, 77, 7], Operations: [] Exploring Operation: 11+37=48, Resulting Numbers: [77, 7, 48] Generated Node #2: [77, 7, 48] from Operation: 11+37=48 Current State: 36:[77, 7, 48], Operations: ['11+37=48'] Exploring Operation: 77+7=84, Resulting Numbers: [48, 84] Generated Node #3: [48, 84] from Operation: 77+7=84 Current State: 36:[48, 84], Operations: ['11+37=48', '77+7=84'] Exploring Operation: 84-48=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 32, 49, 92, 7 ]
53
[ "92-32=60", "49/7=7", "60-7=53" ]
Current State: 53:[32, 49, 92, 7], Operations: [] Exploring Operation: 92-32=60, Resulting Numbers: [49, 7, 60] Generated Node #2: [49, 7, 60] from Operation: 92-32=60 Current State: 53:[49, 7, 60], Operations: ['92-32=60'] Exploring Operation: 49/7=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 49/7=7 Current State: 53:[60, 7], Operations: ['92-32=60', '49/7=7'] Exploring Operation: 60-7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 39, 35, 90 ]
34
[ "90/3=30", "39-35=4", "30+4=34" ]
Current State: 34:[3, 39, 35, 90], Operations: [] Exploring Operation: 90/3=30, Resulting Numbers: [39, 35, 30] Generated Node #2: [39, 35, 30] from Operation: 90/3=30 Current State: 34:[39, 35, 30], Operations: ['90/3=30'] Exploring Operation: 39-35=4, Resulting Numbers: [30, 4] Generated Node #3: [30, 4] from Operation: 39-35=4 Current State: 34:[30, 4], Operations: ['90/3=30', '39-35=4'] Exploring Operation: 30+4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 4, 84, 39, 31 ]
18
[ "4+84=88", "39+31=70", "88-70=18" ]
Current State: 18:[4, 84, 39, 31], Operations: [] Exploring Operation: 4+84=88, Resulting Numbers: [39, 31, 88] Generated Node #2: [39, 31, 88] from Operation: 4+84=88 Current State: 18:[39, 31, 88], Operations: ['4+84=88'] Exploring Operation: 39+31=70, Resulting Numbers: [88, 70] Generated Node #3: [88, 70] from Operation: 39+31=70 Current State: 18:[88, 70], Operations: ['4+84=88', '39+31=70'] Exploring Operation: 88-70=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 11, 28, 6, 99 ]
58
[ "11+99=110", "28*6=168", "168-110=58" ]
Current State: 58:[11, 28, 6, 99], Operations: [] Exploring Operation: 11+99=110, Resulting Numbers: [28, 6, 110] Generated Node #2: [28, 6, 110] from Operation: 11+99=110 Current State: 58:[28, 6, 110], Operations: ['11+99=110'] Exploring Operation: 28*6=168, Resulting Numbers: [110, 168] Generated Node #3: [110, 168] from Operation: 28*6=168 Current State: 58:[110, 168], Operations: ['11+99=110', '28*6=168'] Exploring Operation: 168-110=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 47, 93, 37, 86 ]
70
[ "47-37=10", "93-86=7", "10*7=70" ]
Current State: 70:[47, 93, 37, 86], Operations: [] Exploring Operation: 47-37=10, Resulting Numbers: [93, 86, 10] Generated Node #2: [93, 86, 10] from Operation: 47-37=10 Current State: 70:[93, 86, 10], Operations: ['47-37=10'] Exploring Operation: 93-86=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 93-86=7 Current State: 70:[10, 7], Operations: ['47-37=10', '93-86=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 8, 22, 55, 20 ]
45
[ "8+22=30", "55+20=75", "75-30=45" ]
Current State: 45:[8, 22, 55, 20], Operations: [] Exploring Operation: 8+22=30, Resulting Numbers: [55, 20, 30] Generated Node #2: [55, 20, 30] from Operation: 8+22=30 Current State: 45:[55, 20, 30], Operations: ['8+22=30'] Exploring Operation: 55+20=75, Resulting Numbers: [30, 75] Generated Node #3: [30, 75] from Operation: 55+20=75 Current State: 45:[30, 75], Operations: ['8+22=30', '55+20=75'] Exploring Operation: 75-30=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 68, 17, 51, 57 ]
56
[ "68-17=51", "51/51=1", "57-1=56" ]
Current State: 56:[68, 17, 51, 57], Operations: [] Exploring Operation: 68-17=51, Resulting Numbers: [51, 57, 51] Generated Node #2: [51, 57, 51] from Operation: 68-17=51 Current State: 56:[51, 57, 51], Operations: ['68-17=51'] Exploring Operation: 51/51=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 51/51=1 Current State: 56:[57, 1], Operations: ['68-17=51', '51/51=1'] Exploring Operation: 57-1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 47, 42, 14, 21 ]
23
[ "47-21=26", "42/14=3", "26-3=23" ]
Current State: 23:[47, 42, 14, 21], Operations: [] Exploring Operation: 47-21=26, Resulting Numbers: [42, 14, 26] Generated Node #2: [42, 14, 26] from Operation: 47-21=26 Current State: 23:[42, 14, 26], Operations: ['47-21=26'] Exploring Operation: 42/14=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 42/14=3 Current State: 23:[26, 3], Operations: ['47-21=26', '42/14=3'] Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 5, 14, 94, 93 ]
65
[ "94-14=80", "93-80=13", "5*13=65" ]
Current State: 65:[5, 14, 94, 93], Operations: [] Exploring Operation: 94-14=80, Resulting Numbers: [5, 93, 80] Generated Node #2: [5, 93, 80] from Operation: 94-14=80 Current State: 65:[5, 93, 80], Operations: ['94-14=80'] Exploring Operation: 93-80=13, Resulting Numbers: [5, 13] Generated Node #3: [5, 13] from Operation: 93-80=13 Current State: 65:[5, 13], Operations: ['94-14=80', '93-80=13'] Exploring Operation: 5*13=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 16, 36, 25, 68 ]
13
[ "16*25=400", "68+400=468", "468/36=13" ]
Current State: 13:[16, 36, 25, 68], Operations: [] Exploring Operation: 16*25=400, Resulting Numbers: [36, 68, 400] Generated Node #2: [36, 68, 400] from Operation: 16*25=400 Current State: 13:[36, 68, 400], Operations: ['16*25=400'] Exploring Operation: 68+400=468, Resulting Numbers: [36, 468] Generated Node #3: [36, 468] from Operation: 68+400=468 Current State: 13:[36, 468], Operations: ['16*25=400', '68+400=468'] Exploring Operation: 468/36=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 43, 43, 17, 19 ]
86
[ "43*17=731", "43*19=817", "817-731=86" ]
Current State: 86:[43, 43, 17, 19], Operations: [] Exploring Operation: 43*17=731, Resulting Numbers: [19, 731] Generated Node #2: [19, 731] from Operation: 43*17=731 Current State: 86:[19, 731], Operations: ['43*17=731'] Exploring Operation: 43*19=817, Resulting Numbers: [731, 817] Generated Node #3: [731, 817] from Operation: 43*19=817 Current State: 86:[731, 817], Operations: ['43*17=731', '43*19=817'] Exploring Operation: 817-731=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 16, 5, 8, 40 ]
17
[ "5*8=40", "40/40=1", "16+1=17" ]
Current State: 17:[16, 5, 8, 40], Operations: [] Exploring Operation: 5*8=40, Resulting Numbers: [16, 40, 40] Generated Node #2: [16, 40, 40] from Operation: 5*8=40 Current State: 17:[16, 40, 40], Operations: ['5*8=40'] Exploring Operation: 40/40=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 40/40=1 Current State: 17:[16, 1], Operations: ['5*8=40', '40/40=1'] Exploring Operation: 16+1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 97, 2, 42, 60 ]
58
[ "97-60=37", "42/2=21", "37+21=58" ]
Current State: 58:[97, 2, 42, 60], Operations: [] Exploring Operation: 97-60=37, Resulting Numbers: [2, 42, 37] Generated Node #2: [2, 42, 37] from Operation: 97-60=37 Current State: 58:[2, 42, 37], Operations: ['97-60=37'] Exploring Operation: 42/2=21, Resulting Numbers: [37, 21] Generated Node #3: [37, 21] from Operation: 42/2=21 Current State: 58:[37, 21], Operations: ['97-60=37', '42/2=21'] Exploring Operation: 37+21=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 91, 1, 25, 40 ]
25
[ "91-1=90", "25+40=65", "90-65=25" ]
Current State: 25:[91, 1, 25, 40], Operations: [] Exploring Operation: 91-1=90, Resulting Numbers: [25, 40, 90] Generated Node #2: [25, 40, 90] from Operation: 91-1=90 Current State: 25:[25, 40, 90], Operations: ['91-1=90'] Exploring Operation: 25+40=65, Resulting Numbers: [90, 65] Generated Node #3: [90, 65] from Operation: 25+40=65 Current State: 25:[90, 65], Operations: ['91-1=90', '25+40=65'] Exploring Operation: 90-65=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 97, 11, 22, 69 ]
66
[ "97-22=75", "75-69=6", "11*6=66" ]
Current State: 66:[97, 11, 22, 69], Operations: [] Exploring Operation: 97-22=75, Resulting Numbers: [11, 69, 75] Generated Node #2: [11, 69, 75] from Operation: 97-22=75 Current State: 66:[11, 69, 75], Operations: ['97-22=75'] Exploring Operation: 75-69=6, Resulting Numbers: [11, 6] Generated Node #3: [11, 6] from Operation: 75-69=6 Current State: 66:[11, 6], Operations: ['97-22=75', '75-69=6'] Exploring Operation: 11*6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 70, 24, 22, 26 ]
12
[ "70-26=44", "24*22=528", "528/44=12" ]
Current State: 12:[70, 24, 22, 26], Operations: [] Exploring Operation: 70-26=44, Resulting Numbers: [24, 22, 44] Generated Node #2: [24, 22, 44] from Operation: 70-26=44 Current State: 12:[24, 22, 44], Operations: ['70-26=44'] Exploring Operation: 24*22=528, Resulting Numbers: [44, 528] Generated Node #3: [44, 528] from Operation: 24*22=528 Current State: 12:[44, 528], Operations: ['70-26=44', '24*22=528'] Exploring Operation: 528/44=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 18, 48, 71, 78 ]
78
[ "48+78=126", "126/18=7", "71+7=78" ]
Current State: 78:[18, 48, 71, 78], Operations: [] Exploring Operation: 48+78=126, Resulting Numbers: [18, 71, 126] Generated Node #2: [18, 71, 126] from Operation: 48+78=126 Current State: 78:[18, 71, 126], Operations: ['48+78=126'] Exploring Operation: 126/18=7, Resulting Numbers: [71, 7] Generated Node #3: [71, 7] from Operation: 126/18=7 Current State: 78:[71, 7], Operations: ['48+78=126', '126/18=7'] Exploring Operation: 71+7=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 63, 18, 87, 90 ]
19
[ "87-63=24", "90/18=5", "24-5=19" ]
Current State: 19:[63, 18, 87, 90], Operations: [] Exploring Operation: 87-63=24, Resulting Numbers: [18, 90, 24] Generated Node #2: [18, 90, 24] from Operation: 87-63=24 Current State: 19:[18, 90, 24], Operations: ['87-63=24'] Exploring Operation: 90/18=5, Resulting Numbers: [24, 5] Generated Node #3: [24, 5] from Operation: 90/18=5 Current State: 19:[24, 5], Operations: ['87-63=24', '90/18=5'] Exploring Operation: 24-5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 66, 81, 88, 8 ]
51
[ "66+81=147", "88+8=96", "147-96=51" ]
Current State: 51:[66, 81, 88, 8], Operations: [] Exploring Operation: 66+81=147, Resulting Numbers: [88, 8, 147] Generated Node #2: [88, 8, 147] from Operation: 66+81=147 Current State: 51:[88, 8, 147], Operations: ['66+81=147'] Exploring Operation: 88+8=96, Resulting Numbers: [147, 96] Generated Node #3: [147, 96] from Operation: 88+8=96 Current State: 51:[147, 96], Operations: ['66+81=147', '88+8=96'] Exploring Operation: 147-96=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 64, 97, 52, 14 ]
99
[ "97-64=33", "52+14=66", "33+66=99" ]
Current State: 99:[64, 97, 52, 14], Operations: [] Exploring Operation: 97-64=33, Resulting Numbers: [52, 14, 33] Generated Node #2: [52, 14, 33] from Operation: 97-64=33 Current State: 99:[52, 14, 33], Operations: ['97-64=33'] Exploring Operation: 52+14=66, Resulting Numbers: [33, 66] Generated Node #3: [33, 66] from Operation: 52+14=66 Current State: 99:[33, 66], Operations: ['97-64=33', '52+14=66'] Exploring Operation: 33+66=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 3, 45, 91, 46 ]
93
[ "3+45=48", "91-46=45", "48+45=93" ]
Current State: 93:[3, 45, 91, 46], Operations: [] Exploring Operation: 3+45=48, Resulting Numbers: [91, 46, 48] Generated Node #2: [91, 46, 48] from Operation: 3+45=48 Current State: 93:[91, 46, 48], Operations: ['3+45=48'] Exploring Operation: 91-46=45, Resulting Numbers: [48, 45] Generated Node #3: [48, 45] from Operation: 91-46=45 Current State: 93:[48, 45], Operations: ['3+45=48', '91-46=45'] Exploring Operation: 48+45=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 81, 72, 84, 44 ]
60
[ "84-81=3", "44*3=132", "132-72=60" ]
Current State: 60:[81, 72, 84, 44], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [72, 44, 3] Generated Node #2: [72, 44, 3] from Operation: 84-81=3 Current State: 60:[72, 44, 3], Operations: ['84-81=3'] Exploring Operation: 44*3=132, Resulting Numbers: [72, 132] Generated Node #3: [72, 132] from Operation: 44*3=132 Current State: 60:[72, 132], Operations: ['84-81=3', '44*3=132'] Exploring Operation: 132-72=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 40, 63, 24, 4 ]
51
[ "63-40=23", "24+4=28", "23+28=51" ]
Current State: 51:[40, 63, 24, 4], Operations: [] Exploring Operation: 63-40=23, Resulting Numbers: [24, 4, 23] Generated Node #2: [24, 4, 23] from Operation: 63-40=23 Current State: 51:[24, 4, 23], Operations: ['63-40=23'] Exploring Operation: 24+4=28, Resulting Numbers: [23, 28] Generated Node #3: [23, 28] from Operation: 24+4=28 Current State: 51:[23, 28], Operations: ['63-40=23', '24+4=28'] Exploring Operation: 23+28=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 84, 96, 19, 36 ]
21
[ "84-36=48", "96/48=2", "19+2=21" ]
Current State: 21:[84, 96, 19, 36], Operations: [] Exploring Operation: 84-36=48, Resulting Numbers: [96, 19, 48] Generated Node #2: [96, 19, 48] from Operation: 84-36=48 Current State: 21:[96, 19, 48], Operations: ['84-36=48'] Exploring Operation: 96/48=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 96/48=2 Current State: 21:[19, 2], Operations: ['84-36=48', '96/48=2'] Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 82, 80, 3, 59 ]
100
[ "82+80=162", "3+59=62", "162-62=100" ]
Current State: 100:[82, 80, 3, 59], Operations: [] Exploring Operation: 82+80=162, Resulting Numbers: [3, 59, 162] Generated Node #2: [3, 59, 162] from Operation: 82+80=162 Current State: 100:[3, 59, 162], Operations: ['82+80=162'] Exploring Operation: 3+59=62, Resulting Numbers: [162, 62] Generated Node #3: [162, 62] from Operation: 3+59=62 Current State: 100:[162, 62], Operations: ['82+80=162', '3+59=62'] Exploring Operation: 162-62=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 50, 35, 10, 17 ]
24
[ "50/10=5", "35/5=7", "17+7=24" ]
Current State: 24:[50, 35, 10, 17], Operations: [] Exploring Operation: 50/10=5, Resulting Numbers: [35, 17, 5] Generated Node #2: [35, 17, 5] from Operation: 50/10=5 Current State: 24:[35, 17, 5], Operations: ['50/10=5'] Exploring Operation: 35/5=7, Resulting Numbers: [17, 7] Generated Node #3: [17, 7] from Operation: 35/5=7 Current State: 24:[17, 7], Operations: ['50/10=5', '35/5=7'] Exploring Operation: 17+7=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 80, 63, 6, 71 ]
16
[ "71-63=8", "80/8=10", "6+10=16" ]
Current State: 16:[80, 63, 6, 71], Operations: [] Exploring Operation: 71-63=8, Resulting Numbers: [80, 6, 8] Generated Node #2: [80, 6, 8] from Operation: 71-63=8 Current State: 16:[80, 6, 8], Operations: ['71-63=8'] Exploring Operation: 80/8=10, Resulting Numbers: [6, 10] Generated Node #3: [6, 10] from Operation: 80/8=10 Current State: 16:[6, 10], Operations: ['71-63=8', '80/8=10'] Exploring Operation: 6+10=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 36, 19, 73, 46 ]
28
[ "36+19=55", "73-46=27", "55-27=28" ]
Current State: 28:[36, 19, 73, 46], Operations: [] Exploring Operation: 36+19=55, Resulting Numbers: [73, 46, 55] Generated Node #2: [73, 46, 55] from Operation: 36+19=55 Current State: 28:[73, 46, 55], Operations: ['36+19=55'] Exploring Operation: 73-46=27, Resulting Numbers: [55, 27] Generated Node #3: [55, 27] from Operation: 73-46=27 Current State: 28:[55, 27], Operations: ['36+19=55', '73-46=27'] Exploring Operation: 55-27=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 25, 50, 54, 1 ]
57
[ "50/25=2", "54+1=55", "2+55=57" ]
Current State: 57:[25, 50, 54, 1], Operations: [] Exploring Operation: 50/25=2, Resulting Numbers: [54, 1, 2] Generated Node #2: [54, 1, 2] from Operation: 50/25=2 Current State: 57:[54, 1, 2], Operations: ['50/25=2'] Exploring Operation: 54+1=55, Resulting Numbers: [2, 55] Generated Node #3: [2, 55] from Operation: 54+1=55 Current State: 57:[2, 55], Operations: ['50/25=2', '54+1=55'] Exploring Operation: 2+55=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 81, 81, 74, 52 ]
74
[ "81-81=0", "52*0=0", "74+0=74" ]
Current State: 74:[81, 81, 74, 52], Operations: [] Exploring Operation: 81-81=0, Resulting Numbers: [74, 52, 0] Generated Node #2: [74, 52, 0] from Operation: 81-81=0 Current State: 74:[74, 52, 0], Operations: ['81-81=0'] Exploring Operation: 52*0=0, Resulting Numbers: [74, 0] Generated Node #3: [74, 0] from Operation: 52*0=0 Current State: 74:[74, 0], Operations: ['81-81=0', '52*0=0'] Exploring Operation: 74+0=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 60, 61, 75, 34 ]
64
[ "61+75=136", "136/34=4", "60+4=64" ]
Current State: 64:[60, 61, 75, 34], Operations: [] Exploring Operation: 61+75=136, Resulting Numbers: [60, 34, 136] Generated Node #2: [60, 34, 136] from Operation: 61+75=136 Current State: 64:[60, 34, 136], Operations: ['61+75=136'] Exploring Operation: 136/34=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 136/34=4 Current State: 64:[60, 4], Operations: ['61+75=136', '136/34=4'] Exploring Operation: 60+4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4