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
[ 28, 98, 22, 3 ]
64
[ "28+98=126", "126/3=42", "22+42=64" ]
Current State: 64:[28, 98, 22, 3], Operations: [] Exploring Operation: 28+98=126, Resulting Numbers: [22, 3, 126] Generated Node #2: [22, 3, 126] from Operation: 28+98=126 Current State: 64:[22, 3, 126], Operations: ['28+98=126'] Exploring Operation: 126/3=42, Resulting Numbers: [22, 42] Generated Node #3: [22, 42] from Operation: 126/3=42 Current State: 64:[22, 42], Operations: ['28+98=126', '126/3=42'] Exploring Operation: 22+42=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 40, 44, 12, 66 ]
72
[ "40*66=2640", "2640/44=60", "12+60=72" ]
Current State: 72:[40, 44, 12, 66], Operations: [] Exploring Operation: 40*66=2640, Resulting Numbers: [44, 12, 2640] Generated Node #2: [44, 12, 2640] from Operation: 40*66=2640 Current State: 72:[44, 12, 2640], Operations: ['40*66=2640'] Exploring Operation: 2640/44=60, Resulting Numbers: [12, 60] Generated Node #3: [12, 60] from Operation: 2640/44=60 Current State: 72:[12, 60], Operations: ['40*66=2640', '2640/44=60'] Exploring Operation: 12+60=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 8, 72, 72, 54 ]
32
[ "8*72=576", "72-54=18", "576/18=32" ]
Current State: 32:[8, 72, 72, 54], Operations: [] Exploring Operation: 8*72=576, Resulting Numbers: [54, 576] Generated Node #2: [54, 576] from Operation: 8*72=576 Current State: 32:[54, 576], Operations: ['8*72=576'] Exploring Operation: 72-54=18, Resulting Numbers: [576, 18] Generated Node #3: [576, 18] from Operation: 72-54=18 Current State: 32:[576, 18], Operations: ['8*72=576', '72-54=18'] Exploring Operation: 576/18=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 35, 1, 17, 85 ]
83
[ "35-1=34", "34/17=2", "85-2=83" ]
Current State: 83:[35, 1, 17, 85], Operations: [] Exploring Operation: 35-1=34, Resulting Numbers: [17, 85, 34] Generated Node #2: [17, 85, 34] from Operation: 35-1=34 Current State: 83:[17, 85, 34], Operations: ['35-1=34'] Exploring Operation: 34/17=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 34/17=2 Current State: 83:[85, 2], Operations: ['35-1=34', '34/17=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 47, 89, 6, 60 ]
67
[ "89-47=42", "42/6=7", "60+7=67" ]
Current State: 67:[47, 89, 6, 60], Operations: [] Exploring Operation: 89-47=42, Resulting Numbers: [6, 60, 42] Generated Node #2: [6, 60, 42] from Operation: 89-47=42 Current State: 67:[6, 60, 42], Operations: ['89-47=42'] Exploring Operation: 42/6=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 42/6=7 Current State: 67:[60, 7], Operations: ['89-47=42', '42/6=7'] Exploring Operation: 60+7=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 5, 15, 75, 45 ]
12
[ "5+15=20", "45*20=900", "900/75=12" ]
Current State: 12:[5, 15, 75, 45], Operations: [] Exploring Operation: 5+15=20, Resulting Numbers: [75, 45, 20] Generated Node #2: [75, 45, 20] from Operation: 5+15=20 Current State: 12:[75, 45, 20], Operations: ['5+15=20'] Exploring Operation: 45*20=900, Resulting Numbers: [75, 900] Generated Node #3: [75, 900] from Operation: 45*20=900 Current State: 12:[75, 900], Operations: ['5+15=20', '45*20=900'] Exploring Operation: 900/75=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 76, 90, 92, 23 ]
61
[ "92-90=2", "76/2=38", "23+38=61" ]
Current State: 61:[76, 90, 92, 23], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [76, 23, 2] Generated Node #2: [76, 23, 2] from Operation: 92-90=2 Current State: 61:[76, 23, 2], Operations: ['92-90=2'] Exploring Operation: 76/2=38, Resulting Numbers: [23, 38] Generated Node #3: [23, 38] from Operation: 76/2=38 Current State: 61:[23, 38], Operations: ['92-90=2', '76/2=38'] Exploring Operation: 23+38=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 97, 56, 49, 55 ]
49
[ "97+56=153", "49+55=104", "153-104=49" ]
Current State: 49:[97, 56, 49, 55], Operations: [] Exploring Operation: 97+56=153, Resulting Numbers: [49, 55, 153] Generated Node #2: [49, 55, 153] from Operation: 97+56=153 Current State: 49:[49, 55, 153], Operations: ['97+56=153'] Exploring Operation: 49+55=104, Resulting Numbers: [153, 104] Generated Node #3: [153, 104] from Operation: 49+55=104 Current State: 49:[153, 104], Operations: ['97+56=153', '49+55=104'] Exploring Operation: 153-104=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 97, 98, 91, 12 ]
96
[ "97-91=6", "12/6=2", "98-2=96" ]
Current State: 96:[97, 98, 91, 12], Operations: [] Exploring Operation: 97-91=6, Resulting Numbers: [98, 12, 6] Generated Node #2: [98, 12, 6] from Operation: 97-91=6 Current State: 96:[98, 12, 6], Operations: ['97-91=6'] Exploring Operation: 12/6=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 12/6=2 Current State: 96:[98, 2], Operations: ['97-91=6', '12/6=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 3, 29, 3, 21 ]
72
[ "3*3=9", "29-21=8", "9*8=72" ]
Current State: 72:[3, 29, 3, 21], Operations: [] Exploring Operation: 3*3=9, Resulting Numbers: [29, 21, 9] Generated Node #2: [29, 21, 9] from Operation: 3*3=9 Current State: 72:[29, 21, 9], Operations: ['3*3=9'] Exploring Operation: 29-21=8, Resulting Numbers: [9, 8] Generated Node #3: [9, 8] from Operation: 29-21=8 Current State: 72:[9, 8], Operations: ['3*3=9', '29-21=8'] Exploring Operation: 9*8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 22, 77, 70, 79 ]
11
[ "22+77=99", "79-70=9", "99/9=11" ]
Current State: 11:[22, 77, 70, 79], Operations: [] Exploring Operation: 22+77=99, Resulting Numbers: [70, 79, 99] Generated Node #2: [70, 79, 99] from Operation: 22+77=99 Current State: 11:[70, 79, 99], Operations: ['22+77=99'] Exploring Operation: 79-70=9, Resulting Numbers: [99, 9] Generated Node #3: [99, 9] from Operation: 79-70=9 Current State: 11:[99, 9], Operations: ['22+77=99', '79-70=9'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 49, 2, 92, 93 ]
31
[ "92/2=46", "49-46=3", "93/3=31" ]
Current State: 31:[49, 2, 92, 93], Operations: [] Exploring Operation: 92/2=46, Resulting Numbers: [49, 93, 46] Generated Node #2: [49, 93, 46] from Operation: 92/2=46 Current State: 31:[49, 93, 46], Operations: ['92/2=46'] Exploring Operation: 49-46=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 49-46=3 Current State: 31:[93, 3], Operations: ['92/2=46', '49-46=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 41, 74, 32, 98 ]
97
[ "74-41=33", "32+98=130", "130-33=97" ]
Current State: 97:[41, 74, 32, 98], Operations: [] Exploring Operation: 74-41=33, Resulting Numbers: [32, 98, 33] Generated Node #2: [32, 98, 33] from Operation: 74-41=33 Current State: 97:[32, 98, 33], Operations: ['74-41=33'] Exploring Operation: 32+98=130, Resulting Numbers: [33, 130] Generated Node #3: [33, 130] from Operation: 32+98=130 Current State: 97:[33, 130], Operations: ['74-41=33', '32+98=130'] Exploring Operation: 130-33=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 62, 62, 49, 19 ]
67
[ "62/62=1", "49+19=68", "68-1=67" ]
Current State: 67:[62, 62, 49, 19], Operations: [] Exploring Operation: 62/62=1, Resulting Numbers: [49, 19, 1] Generated Node #2: [49, 19, 1] from Operation: 62/62=1 Current State: 67:[49, 19, 1], Operations: ['62/62=1'] Exploring Operation: 49+19=68, Resulting Numbers: [1, 68] Generated Node #3: [1, 68] from Operation: 49+19=68 Current State: 67:[1, 68], Operations: ['62/62=1', '49+19=68'] Exploring Operation: 68-1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 40, 25, 60, 80 ]
10
[ "80/40=2", "25*2=50", "60-50=10" ]
Current State: 10:[40, 25, 60, 80], Operations: [] Exploring Operation: 80/40=2, Resulting Numbers: [25, 60, 2] Generated Node #2: [25, 60, 2] from Operation: 80/40=2 Current State: 10:[25, 60, 2], Operations: ['80/40=2'] Exploring Operation: 25*2=50, Resulting Numbers: [60, 50] Generated Node #3: [60, 50] from Operation: 25*2=50 Current State: 10:[60, 50], Operations: ['80/40=2', '25*2=50'] Exploring Operation: 60-50=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 93, 87, 6, 37 ]
25
[ "93-87=6", "37-6=31", "31-6=25" ]
Current State: 25:[93, 87, 6, 37], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [6, 37, 6] Generated Node #2: [6, 37, 6] from Operation: 93-87=6 Current State: 25:[6, 37, 6], Operations: ['93-87=6'] Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,25 equal: Goal Reached Exploring Operation: 31-6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 56, 77, 69, 7 ]
97
[ "77-56=21", "69+7=76", "21+76=97" ]
Current State: 97:[56, 77, 69, 7], Operations: [] Exploring Operation: 77-56=21, Resulting Numbers: [69, 7, 21] Generated Node #2: [69, 7, 21] from Operation: 77-56=21 Current State: 97:[69, 7, 21], Operations: ['77-56=21'] Exploring Operation: 69+7=76, Resulting Numbers: [21, 76] Generated Node #3: [21, 76] from Operation: 69+7=76 Current State: 97:[21, 76], Operations: ['77-56=21', '69+7=76'] Exploring Operation: 21+76=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 87, 7, 3, 15 ]
76
[ "87+7=94", "3+15=18", "94-18=76" ]
Current State: 76:[87, 7, 3, 15], Operations: [] Exploring Operation: 87+7=94, Resulting Numbers: [3, 15, 94] Generated Node #2: [3, 15, 94] from Operation: 87+7=94 Current State: 76:[3, 15, 94], Operations: ['87+7=94'] Exploring Operation: 3+15=18, Resulting Numbers: [94, 18] Generated Node #3: [94, 18] from Operation: 3+15=18 Current State: 76:[94, 18], Operations: ['87+7=94', '3+15=18'] Exploring Operation: 94-18=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 68, 13, 9, 94 ]
22
[ "68+13=81", "9+94=103", "103-81=22" ]
Current State: 22:[68, 13, 9, 94], Operations: [] Exploring Operation: 68+13=81, Resulting Numbers: [9, 94, 81] Generated Node #2: [9, 94, 81] from Operation: 68+13=81 Current State: 22:[9, 94, 81], Operations: ['68+13=81'] Exploring Operation: 9+94=103, Resulting Numbers: [81, 103] Generated Node #3: [81, 103] from Operation: 9+94=103 Current State: 22:[81, 103], Operations: ['68+13=81', '9+94=103'] Exploring Operation: 103-81=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 31, 35, 20, 69 ]
53
[ "35-31=4", "69-20=49", "4+49=53" ]
Current State: 53:[31, 35, 20, 69], Operations: [] Exploring Operation: 35-31=4, Resulting Numbers: [20, 69, 4] Generated Node #2: [20, 69, 4] from Operation: 35-31=4 Current State: 53:[20, 69, 4], Operations: ['35-31=4'] Exploring Operation: 69-20=49, Resulting Numbers: [4, 49] Generated Node #3: [4, 49] from Operation: 69-20=49 Current State: 53:[4, 49], Operations: ['35-31=4', '69-20=49'] Exploring Operation: 4+49=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 43, 82, 3, 41 ]
54
[ "82-43=39", "39/3=13", "41+13=54" ]
Current State: 54:[43, 82, 3, 41], Operations: [] Exploring Operation: 82-43=39, Resulting Numbers: [3, 41, 39] Generated Node #2: [3, 41, 39] from Operation: 82-43=39 Current State: 54:[3, 41, 39], Operations: ['82-43=39'] Exploring Operation: 39/3=13, Resulting Numbers: [41, 13] Generated Node #3: [41, 13] from Operation: 39/3=13 Current State: 54:[41, 13], Operations: ['82-43=39', '39/3=13'] Exploring Operation: 41+13=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 85, 77, 68, 54 ]
91
[ "77-68=9", "54/9=6", "85+6=91" ]
Current State: 91:[85, 77, 68, 54], Operations: [] Exploring Operation: 77-68=9, Resulting Numbers: [85, 54, 9] Generated Node #2: [85, 54, 9] from Operation: 77-68=9 Current State: 91:[85, 54, 9], Operations: ['77-68=9'] Exploring Operation: 54/9=6, Resulting Numbers: [85, 6] Generated Node #3: [85, 6] from Operation: 54/9=6 Current State: 91:[85, 6], Operations: ['77-68=9', '54/9=6'] Exploring Operation: 85+6=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 86, 8, 33, 62 ]
49
[ "86-8=78", "62-33=29", "78-29=49" ]
Current State: 49:[86, 8, 33, 62], Operations: [] Exploring Operation: 86-8=78, Resulting Numbers: [33, 62, 78] Generated Node #2: [33, 62, 78] from Operation: 86-8=78 Current State: 49:[33, 62, 78], Operations: ['86-8=78'] Exploring Operation: 62-33=29, Resulting Numbers: [78, 29] Generated Node #3: [78, 29] from Operation: 62-33=29 Current State: 49:[78, 29], Operations: ['86-8=78', '62-33=29'] Exploring Operation: 78-29=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 17, 19, 40, 22 ]
17
[ "40-19=21", "22-21=1", "17*1=17" ]
Current State: 17:[17, 19, 40, 22], Operations: [] Exploring Operation: 40-19=21, Resulting Numbers: [17, 22, 21] Generated Node #2: [17, 22, 21] from Operation: 40-19=21 Current State: 17:[17, 22, 21], Operations: ['40-19=21'] Exploring Operation: 22-21=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 22-21=1 Current State: 17:[17, 1], Operations: ['40-19=21', '22-21=1'] Exploring Operation: 17*1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 91, 20, 27, 10 ]
59
[ "91+27=118", "20/10=2", "118/2=59" ]
Current State: 59:[91, 20, 27, 10], Operations: [] Exploring Operation: 91+27=118, Resulting Numbers: [20, 10, 118] Generated Node #2: [20, 10, 118] from Operation: 91+27=118 Current State: 59:[20, 10, 118], Operations: ['91+27=118'] Exploring Operation: 20/10=2, Resulting Numbers: [118, 2] Generated Node #3: [118, 2] from Operation: 20/10=2 Current State: 59:[118, 2], Operations: ['91+27=118', '20/10=2'] Exploring Operation: 118/2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 93, 20, 93, 97 ]
97
[ "93-93=0", "20*0=0", "97+0=97" ]
Current State: 97:[93, 20, 93, 97], Operations: [] Exploring Operation: 93-93=0, Resulting Numbers: [20, 97, 0] Generated Node #2: [20, 97, 0] from Operation: 93-93=0 Current State: 97:[20, 97, 0], Operations: ['93-93=0'] Exploring Operation: 20*0=0, Resulting Numbers: [97, 0] Generated Node #3: [97, 0] from Operation: 20*0=0 Current State: 97:[97, 0], Operations: ['93-93=0', '20*0=0'] Exploring Operation: 97+0=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 27, 11, 2, 66 ]
69
[ "11-2=9", "27/9=3", "66+3=69" ]
Current State: 69:[27, 11, 2, 66], Operations: [] Exploring Operation: 11-2=9, Resulting Numbers: [27, 66, 9] Generated Node #2: [27, 66, 9] from Operation: 11-2=9 Current State: 69:[27, 66, 9], Operations: ['11-2=9'] Exploring Operation: 27/9=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 27/9=3 Current State: 69:[66, 3], Operations: ['11-2=9', '27/9=3'] Exploring Operation: 66+3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 80, 51, 48, 20 ]
20
[ "80-20=60", "51-48=3", "60/3=20" ]
Current State: 20:[80, 51, 48, 20], Operations: [] Exploring Operation: 80-20=60, Resulting Numbers: [51, 48, 60] Generated Node #2: [51, 48, 60] from Operation: 80-20=60 Current State: 20:[51, 48, 60], Operations: ['80-20=60'] Exploring Operation: 51-48=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 51-48=3 Current State: 20:[60, 3], Operations: ['80-20=60', '51-48=3'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 73, 98, 59, 28 ]
35
[ "73-59=14", "98/14=7", "28+7=35" ]
Current State: 35:[73, 98, 59, 28], Operations: [] Exploring Operation: 73-59=14, Resulting Numbers: [98, 28, 14] Generated Node #2: [98, 28, 14] from Operation: 73-59=14 Current State: 35:[98, 28, 14], Operations: ['73-59=14'] Exploring Operation: 98/14=7, Resulting Numbers: [28, 7] Generated Node #3: [28, 7] from Operation: 98/14=7 Current State: 35:[28, 7], Operations: ['73-59=14', '98/14=7'] Exploring Operation: 28+7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 68, 43, 9, 57 ]
91
[ "68-43=25", "9+57=66", "25+66=91" ]
Current State: 91:[68, 43, 9, 57], Operations: [] Exploring Operation: 68-43=25, Resulting Numbers: [9, 57, 25] Generated Node #2: [9, 57, 25] from Operation: 68-43=25 Current State: 91:[9, 57, 25], Operations: ['68-43=25'] Exploring Operation: 9+57=66, Resulting Numbers: [25, 66] Generated Node #3: [25, 66] from Operation: 9+57=66 Current State: 91:[25, 66], Operations: ['68-43=25', '9+57=66'] Exploring Operation: 25+66=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 56, 75, 4, 56 ]
78
[ "56/56=1", "75+4=79", "79-1=78" ]
Current State: 78:[56, 75, 4, 56], Operations: [] Exploring Operation: 56/56=1, Resulting Numbers: [75, 4, 1] Generated Node #2: [75, 4, 1] from Operation: 56/56=1 Current State: 78:[75, 4, 1], Operations: ['56/56=1'] Exploring Operation: 75+4=79, Resulting Numbers: [1, 79] Generated Node #3: [1, 79] from Operation: 75+4=79 Current State: 78:[1, 79], Operations: ['56/56=1', '75+4=79'] Exploring Operation: 79-1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 72, 39, 58, 5 ]
58
[ "72+39=111", "58-5=53", "111-53=58" ]
Current State: 58:[72, 39, 58, 5], Operations: [] Exploring Operation: 72+39=111, Resulting Numbers: [58, 5, 111] Generated Node #2: [58, 5, 111] from Operation: 72+39=111 Current State: 58:[58, 5, 111], Operations: ['72+39=111'] Exploring Operation: 58-5=53, Resulting Numbers: [111, 53] Generated Node #3: [111, 53] from Operation: 58-5=53 Current State: 58:[111, 53], Operations: ['72+39=111', '58-5=53'] Exploring Operation: 111-53=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 17, 82, 17, 42 ]
90
[ "82-17=65", "42-17=25", "65+25=90" ]
Current State: 90:[17, 82, 17, 42], Operations: [] Exploring Operation: 82-17=65, Resulting Numbers: [42, 65] Generated Node #2: [42, 65] from Operation: 82-17=65 Current State: 90:[42, 65], Operations: ['82-17=65'] Exploring Operation: 42-17=25, Resulting Numbers: [65, 25] Generated Node #3: [65, 25] from Operation: 42-17=25 Current State: 90:[65, 25], Operations: ['82-17=65', '42-17=25'] Exploring Operation: 65+25=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 90, 77, 3, 84 ]
68
[ "90-77=13", "84-3=81", "81-13=68" ]
Current State: 68:[90, 77, 3, 84], Operations: [] Exploring Operation: 90-77=13, Resulting Numbers: [3, 84, 13] Generated Node #2: [3, 84, 13] from Operation: 90-77=13 Current State: 68:[3, 84, 13], Operations: ['90-77=13'] Exploring Operation: 84-3=81, Resulting Numbers: [13, 81] Generated Node #3: [13, 81] from Operation: 84-3=81 Current State: 68:[13, 81], Operations: ['90-77=13', '84-3=81'] Exploring Operation: 81-13=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 28, 22, 36, 8 ]
16
[ "28*8=224", "36-22=14", "224/14=16" ]
Current State: 16:[28, 22, 36, 8], Operations: [] Exploring Operation: 28*8=224, Resulting Numbers: [22, 36, 224] Generated Node #2: [22, 36, 224] from Operation: 28*8=224 Current State: 16:[22, 36, 224], Operations: ['28*8=224'] Exploring Operation: 36-22=14, Resulting Numbers: [224, 14] Generated Node #3: [224, 14] from Operation: 36-22=14 Current State: 16:[224, 14], Operations: ['28*8=224', '36-22=14'] Exploring Operation: 224/14=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 46, 26, 59, 63 ]
16
[ "46-26=20", "63-59=4", "20-4=16" ]
Current State: 16:[46, 26, 59, 63], Operations: [] Exploring Operation: 46-26=20, Resulting Numbers: [59, 63, 20] Generated Node #2: [59, 63, 20] from Operation: 46-26=20 Current State: 16:[59, 63, 20], Operations: ['46-26=20'] Exploring Operation: 63-59=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 63-59=4 Current State: 16:[20, 4], Operations: ['46-26=20', '63-59=4'] Exploring Operation: 20-4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 66, 49, 20, 33 ]
78
[ "66*49=3234", "3234/33=98", "98-20=78" ]
Current State: 78:[66, 49, 20, 33], Operations: [] Exploring Operation: 66*49=3234, Resulting Numbers: [20, 33, 3234] Generated Node #2: [20, 33, 3234] from Operation: 66*49=3234 Current State: 78:[20, 33, 3234], Operations: ['66*49=3234'] Exploring Operation: 3234/33=98, Resulting Numbers: [20, 98] Generated Node #3: [20, 98] from Operation: 3234/33=98 Current State: 78:[20, 98], Operations: ['66*49=3234', '3234/33=98'] Exploring Operation: 98-20=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 8, 14, 2, 21 ]
84
[ "14-8=6", "6-2=4", "21*4=84" ]
Current State: 84:[8, 14, 2, 21], Operations: [] Exploring Operation: 14-8=6, Resulting Numbers: [2, 21, 6] Generated Node #2: [2, 21, 6] from Operation: 14-8=6 Current State: 84:[2, 21, 6], Operations: ['14-8=6'] Exploring Operation: 6-2=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 6-2=4 Current State: 84:[21, 4], Operations: ['14-8=6', '6-2=4'] Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 11, 97, 1, 71 ]
14
[ "97-11=86", "1+71=72", "86-72=14" ]
Current State: 14:[11, 97, 1, 71], Operations: [] Exploring Operation: 97-11=86, Resulting Numbers: [1, 71, 86] Generated Node #2: [1, 71, 86] from Operation: 97-11=86 Current State: 14:[1, 71, 86], Operations: ['97-11=86'] Exploring Operation: 1+71=72, Resulting Numbers: [86, 72] Generated Node #3: [86, 72] from Operation: 1+71=72 Current State: 14:[86, 72], Operations: ['97-11=86', '1+71=72'] Exploring Operation: 86-72=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 56, 81, 15, 87 ]
77
[ "81-56=25", "15+87=102", "102-25=77" ]
Current State: 77:[56, 81, 15, 87], Operations: [] Exploring Operation: 81-56=25, Resulting Numbers: [15, 87, 25] Generated Node #2: [15, 87, 25] from Operation: 81-56=25 Current State: 77:[15, 87, 25], Operations: ['81-56=25'] Exploring Operation: 15+87=102, Resulting Numbers: [25, 102] Generated Node #3: [25, 102] from Operation: 15+87=102 Current State: 77:[25, 102], Operations: ['81-56=25', '15+87=102'] Exploring Operation: 102-25=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 75, 38, 39, 92 ]
89
[ "75+39=114", "114/38=3", "92-3=89" ]
Current State: 89:[75, 38, 39, 92], Operations: [] Exploring Operation: 75+39=114, Resulting Numbers: [38, 92, 114] Generated Node #2: [38, 92, 114] from Operation: 75+39=114 Current State: 89:[38, 92, 114], Operations: ['75+39=114'] Exploring Operation: 114/38=3, Resulting Numbers: [92, 3] Generated Node #3: [92, 3] from Operation: 114/38=3 Current State: 89:[92, 3], Operations: ['75+39=114', '114/38=3'] Exploring Operation: 92-3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 59, 94, 76, 85 ]
26
[ "94-59=35", "85-76=9", "35-9=26" ]
Current State: 26:[59, 94, 76, 85], Operations: [] Exploring Operation: 94-59=35, Resulting Numbers: [76, 85, 35] Generated Node #2: [76, 85, 35] from Operation: 94-59=35 Current State: 26:[76, 85, 35], Operations: ['94-59=35'] Exploring Operation: 85-76=9, Resulting Numbers: [35, 9] Generated Node #3: [35, 9] from Operation: 85-76=9 Current State: 26:[35, 9], Operations: ['94-59=35', '85-76=9'] Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 91, 86, 65, 41 ]
63
[ "86-41=45", "91*45=4095", "4095/65=63" ]
Current State: 63:[91, 86, 65, 41], Operations: [] Exploring Operation: 86-41=45, Resulting Numbers: [91, 65, 45] Generated Node #2: [91, 65, 45] from Operation: 86-41=45 Current State: 63:[91, 65, 45], Operations: ['86-41=45'] Exploring Operation: 91*45=4095, Resulting Numbers: [65, 4095] Generated Node #3: [65, 4095] from Operation: 91*45=4095 Current State: 63:[65, 4095], Operations: ['86-41=45', '91*45=4095'] Exploring Operation: 4095/65=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 50, 76, 78, 5 ]
53
[ "50+76=126", "78-5=73", "126-73=53" ]
Current State: 53:[50, 76, 78, 5], Operations: [] Exploring Operation: 50+76=126, Resulting Numbers: [78, 5, 126] Generated Node #2: [78, 5, 126] from Operation: 50+76=126 Current State: 53:[78, 5, 126], Operations: ['50+76=126'] Exploring Operation: 78-5=73, Resulting Numbers: [126, 73] Generated Node #3: [126, 73] from Operation: 78-5=73 Current State: 53:[126, 73], Operations: ['50+76=126', '78-5=73'] Exploring Operation: 126-73=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 12, 70, 24, 24 ]
44
[ "24/12=2", "70-24=46", "46-2=44" ]
Current State: 44:[12, 70, 24, 24], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [70, 2] Generated Node #2: [70, 2] from Operation: 24/12=2 Current State: 44:[70, 2], Operations: ['24/12=2'] Exploring Operation: 70-24=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 70-24=46 Current State: 44:[2, 46], Operations: ['24/12=2', '70-24=46'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 8, 18, 2, 16 ]
22
[ "18-8=10", "2*16=32", "32-10=22" ]
Current State: 22:[8, 18, 2, 16], Operations: [] Exploring Operation: 18-8=10, Resulting Numbers: [2, 16, 10] Generated Node #2: [2, 16, 10] from Operation: 18-8=10 Current State: 22:[2, 16, 10], Operations: ['18-8=10'] Exploring Operation: 2*16=32, Resulting Numbers: [10, 32] Generated Node #3: [10, 32] from Operation: 2*16=32 Current State: 22:[10, 32], Operations: ['18-8=10', '2*16=32'] Exploring Operation: 32-10=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 21, 76, 28, 12 ]
95
[ "76-21=55", "28+12=40", "55+40=95" ]
Current State: 95:[21, 76, 28, 12], Operations: [] Exploring Operation: 76-21=55, Resulting Numbers: [28, 12, 55] Generated Node #2: [28, 12, 55] from Operation: 76-21=55 Current State: 95:[28, 12, 55], Operations: ['76-21=55'] Exploring Operation: 28+12=40, Resulting Numbers: [55, 40] Generated Node #3: [55, 40] from Operation: 28+12=40 Current State: 95:[55, 40], Operations: ['76-21=55', '28+12=40'] Exploring Operation: 55+40=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 9, 10, 69, 40 ]
28
[ "10-9=1", "69-40=29", "29-1=28" ]
Current State: 28:[9, 10, 69, 40], Operations: [] Exploring Operation: 10-9=1, Resulting Numbers: [69, 40, 1] Generated Node #2: [69, 40, 1] from Operation: 10-9=1 Current State: 28:[69, 40, 1], Operations: ['10-9=1'] Exploring Operation: 69-40=29, Resulting Numbers: [1, 29] Generated Node #3: [1, 29] from Operation: 69-40=29 Current State: 28:[1, 29], Operations: ['10-9=1', '69-40=29'] Exploring Operation: 29-1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 90, 60, 68, 36 ]
82
[ "90*60=5400", "5400/36=150", "150-68=82" ]
Current State: 82:[90, 60, 68, 36], Operations: [] Exploring Operation: 90*60=5400, Resulting Numbers: [68, 36, 5400] Generated Node #2: [68, 36, 5400] from Operation: 90*60=5400 Current State: 82:[68, 36, 5400], Operations: ['90*60=5400'] Exploring Operation: 5400/36=150, Resulting Numbers: [68, 150] Generated Node #3: [68, 150] from Operation: 5400/36=150 Current State: 82:[68, 150], Operations: ['90*60=5400', '5400/36=150'] Exploring Operation: 150-68=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 69, 25, 39, 48 ]
35
[ "69-25=44", "48-39=9", "44-9=35" ]
Current State: 35:[69, 25, 39, 48], Operations: [] Exploring Operation: 69-25=44, Resulting Numbers: [39, 48, 44] Generated Node #2: [39, 48, 44] from Operation: 69-25=44 Current State: 35:[39, 48, 44], Operations: ['69-25=44'] Exploring Operation: 48-39=9, Resulting Numbers: [44, 9] Generated Node #3: [44, 9] from Operation: 48-39=9 Current State: 35:[44, 9], Operations: ['69-25=44', '48-39=9'] Exploring Operation: 44-9=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 35, 48, 19, 15 ]
17
[ "48-35=13", "19-15=4", "13+4=17" ]
Current State: 17:[35, 48, 19, 15], Operations: [] Exploring Operation: 48-35=13, Resulting Numbers: [19, 15, 13] Generated Node #2: [19, 15, 13] from Operation: 48-35=13 Current State: 17:[19, 15, 13], Operations: ['48-35=13'] Exploring Operation: 19-15=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 19-15=4 Current State: 17:[13, 4], Operations: ['48-35=13', '19-15=4'] Exploring Operation: 13+4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 50, 60, 81, 50 ]
21
[ "50+60=110", "81+50=131", "131-110=21" ]
Current State: 21:[50, 60, 81, 50], Operations: [] Exploring Operation: 50+60=110, Resulting Numbers: [81, 110] Generated Node #2: [81, 110] from Operation: 50+60=110 Current State: 21:[81, 110], Operations: ['50+60=110'] Exploring Operation: 81+50=131, Resulting Numbers: [110, 131] Generated Node #3: [110, 131] from Operation: 81+50=131 Current State: 21:[110, 131], Operations: ['50+60=110', '81+50=131'] Exploring Operation: 131-110=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 13, 38, 41, 17 ]
49
[ "38-13=25", "41-17=24", "25+24=49" ]
Current State: 49:[13, 38, 41, 17], Operations: [] Exploring Operation: 38-13=25, Resulting Numbers: [41, 17, 25] Generated Node #2: [41, 17, 25] from Operation: 38-13=25 Current State: 49:[41, 17, 25], Operations: ['38-13=25'] Exploring Operation: 41-17=24, Resulting Numbers: [25, 24] Generated Node #3: [25, 24] from Operation: 41-17=24 Current State: 49:[25, 24], Operations: ['38-13=25', '41-17=24'] Exploring Operation: 25+24=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 76, 8, 3, 53 ]
83
[ "3+53=56", "56/8=7", "76+7=83" ]
Current State: 83:[76, 8, 3, 53], Operations: [] Exploring Operation: 3+53=56, Resulting Numbers: [76, 8, 56] Generated Node #2: [76, 8, 56] from Operation: 3+53=56 Current State: 83:[76, 8, 56], Operations: ['3+53=56'] Exploring Operation: 56/8=7, Resulting Numbers: [76, 7] Generated Node #3: [76, 7] from Operation: 56/8=7 Current State: 83:[76, 7], Operations: ['3+53=56', '56/8=7'] Exploring Operation: 76+7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 36, 32, 37 ]
78
[ "2*37=74", "36-32=4", "74+4=78" ]
Current State: 78:[2, 36, 32, 37], Operations: [] Exploring Operation: 2*37=74, Resulting Numbers: [36, 32, 74] Generated Node #2: [36, 32, 74] from Operation: 2*37=74 Current State: 78:[36, 32, 74], Operations: ['2*37=74'] Exploring Operation: 36-32=4, Resulting Numbers: [74, 4] Generated Node #3: [74, 4] from Operation: 36-32=4 Current State: 78:[74, 4], Operations: ['2*37=74', '36-32=4'] Exploring Operation: 74+4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 76, 89, 71, 52 ]
42
[ "76+89=165", "71+52=123", "165-123=42" ]
Current State: 42:[76, 89, 71, 52], Operations: [] Exploring Operation: 76+89=165, Resulting Numbers: [71, 52, 165] Generated Node #2: [71, 52, 165] from Operation: 76+89=165 Current State: 42:[71, 52, 165], Operations: ['76+89=165'] Exploring Operation: 71+52=123, Resulting Numbers: [165, 123] Generated Node #3: [165, 123] from Operation: 71+52=123 Current State: 42:[165, 123], Operations: ['76+89=165', '71+52=123'] Exploring Operation: 165-123=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 64, 89, 25, 7 ]
57
[ "89-64=25", "25+7=32", "25+32=57" ]
Current State: 57:[64, 89, 25, 7], Operations: [] Exploring Operation: 89-64=25, Resulting Numbers: [25, 7, 25] Generated Node #2: [25, 7, 25] from Operation: 89-64=25 Current State: 57:[25, 7, 25], Operations: ['89-64=25'] Exploring Operation: 25+7=32, Resulting Numbers: [32] 32,57 equal: Goal Reached Exploring Operation: 25+32=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 58, 49, 55, 52 ]
18
[ "58*49=2842", "55*52=2860", "2860-2842=18" ]
Current State: 18:[58, 49, 55, 52], Operations: [] Exploring Operation: 58*49=2842, Resulting Numbers: [55, 52, 2842] Generated Node #2: [55, 52, 2842] from Operation: 58*49=2842 Current State: 18:[55, 52, 2842], Operations: ['58*49=2842'] Exploring Operation: 55*52=2860, Resulting Numbers: [2842, 2860] Generated Node #3: [2842, 2860] from Operation: 55*52=2860 Current State: 18:[2842, 2860], Operations: ['58*49=2842', '55*52=2860'] Exploring Operation: 2860-2842=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 84, 6, 87, 60 ]
13
[ "84/6=14", "87-60=27", "27-14=13" ]
Current State: 13:[84, 6, 87, 60], Operations: [] Exploring Operation: 84/6=14, Resulting Numbers: [87, 60, 14] Generated Node #2: [87, 60, 14] from Operation: 84/6=14 Current State: 13:[87, 60, 14], Operations: ['84/6=14'] Exploring Operation: 87-60=27, Resulting Numbers: [14, 27] Generated Node #3: [14, 27] from Operation: 87-60=27 Current State: 13:[14, 27], Operations: ['84/6=14', '87-60=27'] Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 97, 2, 13, 61 ]
51
[ "97+2=99", "61-13=48", "99-48=51" ]
Current State: 51:[97, 2, 13, 61], Operations: [] Exploring Operation: 97+2=99, Resulting Numbers: [13, 61, 99] Generated Node #2: [13, 61, 99] from Operation: 97+2=99 Current State: 51:[13, 61, 99], Operations: ['97+2=99'] Exploring Operation: 61-13=48, Resulting Numbers: [99, 48] Generated Node #3: [99, 48] from Operation: 61-13=48 Current State: 51:[99, 48], Operations: ['97+2=99', '61-13=48'] Exploring Operation: 99-48=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 22, 95, 40, 84 ]
73
[ "22+95=117", "84-40=44", "117-44=73" ]
Current State: 73:[22, 95, 40, 84], Operations: [] Exploring Operation: 22+95=117, Resulting Numbers: [40, 84, 117] Generated Node #2: [40, 84, 117] from Operation: 22+95=117 Current State: 73:[40, 84, 117], Operations: ['22+95=117'] Exploring Operation: 84-40=44, Resulting Numbers: [117, 44] Generated Node #3: [117, 44] from Operation: 84-40=44 Current State: 73:[117, 44], Operations: ['22+95=117', '84-40=44'] Exploring Operation: 117-44=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 33, 89, 91, 43 ]
87
[ "89+43=132", "132/33=4", "91-4=87" ]
Current State: 87:[33, 89, 91, 43], Operations: [] Exploring Operation: 89+43=132, Resulting Numbers: [33, 91, 132] Generated Node #2: [33, 91, 132] from Operation: 89+43=132 Current State: 87:[33, 91, 132], Operations: ['89+43=132'] Exploring Operation: 132/33=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 132/33=4 Current State: 87:[91, 4], Operations: ['89+43=132', '132/33=4'] Exploring Operation: 91-4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 93, 87, 42, 70 ]
63
[ "93-87=6", "42/6=7", "70-7=63" ]
Current State: 63:[93, 87, 42, 70], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [42, 70, 6] Generated Node #2: [42, 70, 6] from Operation: 93-87=6 Current State: 63:[42, 70, 6], Operations: ['93-87=6'] Exploring Operation: 42/6=7, Resulting Numbers: [70, 7] Generated Node #3: [70, 7] from Operation: 42/6=7 Current State: 63:[70, 7], Operations: ['93-87=6', '42/6=7'] Exploring Operation: 70-7=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 57, 16, 2, 26 ]
38
[ "57*16=912", "26-2=24", "912/24=38" ]
Current State: 38:[57, 16, 2, 26], Operations: [] Exploring Operation: 57*16=912, Resulting Numbers: [2, 26, 912] Generated Node #2: [2, 26, 912] from Operation: 57*16=912 Current State: 38:[2, 26, 912], Operations: ['57*16=912'] Exploring Operation: 26-2=24, Resulting Numbers: [912, 24] Generated Node #3: [912, 24] from Operation: 26-2=24 Current State: 38:[912, 24], Operations: ['57*16=912', '26-2=24'] Exploring Operation: 912/24=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 18, 8, 51, 15 ]
51
[ "18+51=69", "8*15=120", "120-69=51" ]
Current State: 51:[18, 8, 51, 15], Operations: [] Exploring Operation: 18+51=69, Resulting Numbers: [8, 15, 69] Generated Node #2: [8, 15, 69] from Operation: 18+51=69 Current State: 51:[8, 15, 69], Operations: ['18+51=69'] Exploring Operation: 8*15=120, Resulting Numbers: [69, 120] Generated Node #3: [69, 120] from Operation: 8*15=120 Current State: 51:[69, 120], Operations: ['18+51=69', '8*15=120'] Exploring Operation: 120-69=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 21, 97, 8, 12 ]
59
[ "21*8=168", "97+12=109", "168-109=59" ]
Current State: 59:[21, 97, 8, 12], Operations: [] Exploring Operation: 21*8=168, Resulting Numbers: [97, 12, 168] Generated Node #2: [97, 12, 168] from Operation: 21*8=168 Current State: 59:[97, 12, 168], Operations: ['21*8=168'] Exploring Operation: 97+12=109, Resulting Numbers: [168, 109] Generated Node #3: [168, 109] from Operation: 97+12=109 Current State: 59:[168, 109], Operations: ['21*8=168', '97+12=109'] Exploring Operation: 168-109=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 79, 26, 52, 88 ]
11
[ "88-79=9", "52/26=2", "9+2=11" ]
Current State: 11:[79, 26, 52, 88], Operations: [] Exploring Operation: 88-79=9, Resulting Numbers: [26, 52, 9] Generated Node #2: [26, 52, 9] from Operation: 88-79=9 Current State: 11:[26, 52, 9], Operations: ['88-79=9'] Exploring Operation: 52/26=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 52/26=2 Current State: 11:[9, 2], Operations: ['88-79=9', '52/26=2'] Exploring Operation: 9+2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 85, 43, 79, 96 ]
38
[ "96-79=17", "85/17=5", "43-5=38" ]
Current State: 38:[85, 43, 79, 96], Operations: [] Exploring Operation: 96-79=17, Resulting Numbers: [85, 43, 17] Generated Node #2: [85, 43, 17] from Operation: 96-79=17 Current State: 38:[85, 43, 17], Operations: ['96-79=17'] Exploring Operation: 85/17=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 85/17=5 Current State: 38:[43, 5], Operations: ['96-79=17', '85/17=5'] Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 66, 86, 34, 84 ]
71
[ "86+84=170", "170/34=5", "66+5=71" ]
Current State: 71:[66, 86, 34, 84], Operations: [] Exploring Operation: 86+84=170, Resulting Numbers: [66, 34, 170] Generated Node #2: [66, 34, 170] from Operation: 86+84=170 Current State: 71:[66, 34, 170], Operations: ['86+84=170'] Exploring Operation: 170/34=5, Resulting Numbers: [66, 5] Generated Node #3: [66, 5] from Operation: 170/34=5 Current State: 71:[66, 5], Operations: ['86+84=170', '170/34=5'] Exploring Operation: 66+5=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 4, 35, 37, 80 ]
42
[ "4+80=84", "37-35=2", "84/2=42" ]
Current State: 42:[4, 35, 37, 80], Operations: [] Exploring Operation: 4+80=84, Resulting Numbers: [35, 37, 84] Generated Node #2: [35, 37, 84] from Operation: 4+80=84 Current State: 42:[35, 37, 84], Operations: ['4+80=84'] Exploring Operation: 37-35=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 37-35=2 Current State: 42:[84, 2], Operations: ['4+80=84', '37-35=2'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 37, 17, 55, 6 ]
29
[ "37-17=20", "55-6=49", "49-20=29" ]
Current State: 29:[37, 17, 55, 6], Operations: [] Exploring Operation: 37-17=20, Resulting Numbers: [55, 6, 20] Generated Node #2: [55, 6, 20] from Operation: 37-17=20 Current State: 29:[55, 6, 20], Operations: ['37-17=20'] Exploring Operation: 55-6=49, Resulting Numbers: [20, 49] Generated Node #3: [20, 49] from Operation: 55-6=49 Current State: 29:[20, 49], Operations: ['37-17=20', '55-6=49'] Exploring Operation: 49-20=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 20, 52, 2, 54 ]
43
[ "52-20=32", "54+32=86", "86/2=43" ]
Current State: 43:[20, 52, 2, 54], Operations: [] Exploring Operation: 52-20=32, Resulting Numbers: [2, 54, 32] Generated Node #2: [2, 54, 32] from Operation: 52-20=32 Current State: 43:[2, 54, 32], Operations: ['52-20=32'] Exploring Operation: 54+32=86, Resulting Numbers: [2, 86] Generated Node #3: [2, 86] from Operation: 54+32=86 Current State: 43:[2, 86], Operations: ['52-20=32', '54+32=86'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 5, 98, 55, 75 ]
12
[ "55/5=11", "98-75=23", "23-11=12" ]
Current State: 12:[5, 98, 55, 75], Operations: [] Exploring Operation: 55/5=11, Resulting Numbers: [98, 75, 11] Generated Node #2: [98, 75, 11] from Operation: 55/5=11 Current State: 12:[98, 75, 11], Operations: ['55/5=11'] Exploring Operation: 98-75=23, Resulting Numbers: [11, 23] Generated Node #3: [11, 23] from Operation: 98-75=23 Current State: 12:[11, 23], Operations: ['55/5=11', '98-75=23'] Exploring Operation: 23-11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 36, 26, 75, 15 ]
94
[ "26*75=1950", "1950/15=130", "130-36=94" ]
Current State: 94:[36, 26, 75, 15], Operations: [] Exploring Operation: 26*75=1950, Resulting Numbers: [36, 15, 1950] Generated Node #2: [36, 15, 1950] from Operation: 26*75=1950 Current State: 94:[36, 15, 1950], Operations: ['26*75=1950'] Exploring Operation: 1950/15=130, Resulting Numbers: [36, 130] Generated Node #3: [36, 130] from Operation: 1950/15=130 Current State: 94:[36, 130], Operations: ['26*75=1950', '1950/15=130'] Exploring Operation: 130-36=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 15, 16, 19, 42 ]
34
[ "15*42=630", "16+630=646", "646/19=34" ]
Current State: 34:[15, 16, 19, 42], Operations: [] Exploring Operation: 15*42=630, Resulting Numbers: [16, 19, 630] Generated Node #2: [16, 19, 630] from Operation: 15*42=630 Current State: 34:[16, 19, 630], Operations: ['15*42=630'] Exploring Operation: 16+630=646, Resulting Numbers: [19, 646] Generated Node #3: [19, 646] from Operation: 16+630=646 Current State: 34:[19, 646], Operations: ['15*42=630', '16+630=646'] Exploring Operation: 646/19=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 68, 60, 34, 85 ]
77
[ "68+60=128", "85-34=51", "128-51=77" ]
Current State: 77:[68, 60, 34, 85], Operations: [] Exploring Operation: 68+60=128, Resulting Numbers: [34, 85, 128] Generated Node #2: [34, 85, 128] from Operation: 68+60=128 Current State: 77:[34, 85, 128], Operations: ['68+60=128'] Exploring Operation: 85-34=51, Resulting Numbers: [128, 51] Generated Node #3: [128, 51] from Operation: 85-34=51 Current State: 77:[128, 51], Operations: ['68+60=128', '85-34=51'] Exploring Operation: 128-51=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 35, 47, 45, 1 ]
37
[ "35+47=82", "45*1=45", "82-45=37" ]
Current State: 37:[35, 47, 45, 1], Operations: [] Exploring Operation: 35+47=82, Resulting Numbers: [45, 1, 82] Generated Node #2: [45, 1, 82] from Operation: 35+47=82 Current State: 37:[45, 1, 82], Operations: ['35+47=82'] Exploring Operation: 45*1=45, Resulting Numbers: [82, 45] Generated Node #3: [82, 45] from Operation: 45*1=45 Current State: 37:[82, 45], Operations: ['35+47=82', '45*1=45'] Exploring Operation: 82-45=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 23, 39, 51, 31 ]
36
[ "39-23=16", "51-31=20", "16+20=36" ]
Current State: 36:[23, 39, 51, 31], Operations: [] Exploring Operation: 39-23=16, Resulting Numbers: [51, 31, 16] Generated Node #2: [51, 31, 16] from Operation: 39-23=16 Current State: 36:[51, 31, 16], Operations: ['39-23=16'] Exploring Operation: 51-31=20, Resulting Numbers: [16, 20] Generated Node #3: [16, 20] from Operation: 51-31=20 Current State: 36:[16, 20], Operations: ['39-23=16', '51-31=20'] Exploring Operation: 16+20=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 11, 25, 70, 36 ]
92
[ "25-11=14", "70+36=106", "106-14=92" ]
Current State: 92:[11, 25, 70, 36], Operations: [] Exploring Operation: 25-11=14, Resulting Numbers: [70, 36, 14] Generated Node #2: [70, 36, 14] from Operation: 25-11=14 Current State: 92:[70, 36, 14], Operations: ['25-11=14'] Exploring Operation: 70+36=106, Resulting Numbers: [14, 106] Generated Node #3: [14, 106] from Operation: 70+36=106 Current State: 92:[14, 106], Operations: ['25-11=14', '70+36=106'] Exploring Operation: 106-14=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 21, 68, 66, 41 ]
61
[ "68-66=2", "41*2=82", "82-21=61" ]
Current State: 61:[21, 68, 66, 41], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [21, 41, 2] Generated Node #2: [21, 41, 2] from Operation: 68-66=2 Current State: 61:[21, 41, 2], Operations: ['68-66=2'] Exploring Operation: 41*2=82, Resulting Numbers: [21, 82] Generated Node #3: [21, 82] from Operation: 41*2=82 Current State: 61:[21, 82], Operations: ['68-66=2', '41*2=82'] Exploring Operation: 82-21=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 69, 12, 54, 32 ]
35
[ "69-12=57", "54-32=22", "57-22=35" ]
Current State: 35:[69, 12, 54, 32], Operations: [] Exploring Operation: 69-12=57, Resulting Numbers: [54, 32, 57] Generated Node #2: [54, 32, 57] from Operation: 69-12=57 Current State: 35:[54, 32, 57], Operations: ['69-12=57'] Exploring Operation: 54-32=22, Resulting Numbers: [57, 22] Generated Node #3: [57, 22] from Operation: 54-32=22 Current State: 35:[57, 22], Operations: ['69-12=57', '54-32=22'] Exploring Operation: 57-22=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 2, 98, 44, 65 ]
79
[ "2+98=100", "65-44=21", "100-21=79" ]
Current State: 79:[2, 98, 44, 65], Operations: [] Exploring Operation: 2+98=100, Resulting Numbers: [44, 65, 100] Generated Node #2: [44, 65, 100] from Operation: 2+98=100 Current State: 79:[44, 65, 100], Operations: ['2+98=100'] Exploring Operation: 65-44=21, Resulting Numbers: [100, 21] Generated Node #3: [100, 21] from Operation: 65-44=21 Current State: 79:[100, 21], Operations: ['2+98=100', '65-44=21'] Exploring Operation: 100-21=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 79, 47, 27, 11 ]
70
[ "79-47=32", "27+11=38", "32+38=70" ]
Current State: 70:[79, 47, 27, 11], Operations: [] Exploring Operation: 79-47=32, Resulting Numbers: [27, 11, 32] Generated Node #2: [27, 11, 32] from Operation: 79-47=32 Current State: 70:[27, 11, 32], Operations: ['79-47=32'] Exploring Operation: 27+11=38, Resulting Numbers: [32, 38] Generated Node #3: [32, 38] from Operation: 27+11=38 Current State: 70:[32, 38], Operations: ['79-47=32', '27+11=38'] Exploring Operation: 32+38=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 17, 58, 63, 69 ]
81
[ "17+58=75", "69-63=6", "75+6=81" ]
Current State: 81:[17, 58, 63, 69], Operations: [] Exploring Operation: 17+58=75, Resulting Numbers: [63, 69, 75] Generated Node #2: [63, 69, 75] from Operation: 17+58=75 Current State: 81:[63, 69, 75], Operations: ['17+58=75'] Exploring Operation: 69-63=6, Resulting Numbers: [75, 6] Generated Node #3: [75, 6] from Operation: 69-63=6 Current State: 81:[75, 6], Operations: ['17+58=75', '69-63=6'] Exploring Operation: 75+6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 5, 76, 34, 1 ]
19
[ "76-1=75", "75/5=15", "34-15=19" ]
Current State: 19:[5, 76, 34, 1], Operations: [] Exploring Operation: 76-1=75, Resulting Numbers: [5, 34, 75] Generated Node #2: [5, 34, 75] from Operation: 76-1=75 Current State: 19:[5, 34, 75], Operations: ['76-1=75'] Exploring Operation: 75/5=15, Resulting Numbers: [34, 15] Generated Node #3: [34, 15] from Operation: 75/5=15 Current State: 19:[34, 15], Operations: ['76-1=75', '75/5=15'] Exploring Operation: 34-15=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 26, 23, 7, 78 ]
22
[ "26+23=49", "78-7=71", "71-49=22" ]
Current State: 22:[26, 23, 7, 78], Operations: [] Exploring Operation: 26+23=49, Resulting Numbers: [7, 78, 49] Generated Node #2: [7, 78, 49] from Operation: 26+23=49 Current State: 22:[7, 78, 49], Operations: ['26+23=49'] Exploring Operation: 78-7=71, Resulting Numbers: [49, 71] Generated Node #3: [49, 71] from Operation: 78-7=71 Current State: 22:[49, 71], Operations: ['26+23=49', '78-7=71'] Exploring Operation: 71-49=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 69, 70, 38, 40 ]
61
[ "69+70=139", "38+40=78", "139-78=61" ]
Current State: 61:[69, 70, 38, 40], Operations: [] Exploring Operation: 69+70=139, Resulting Numbers: [38, 40, 139] Generated Node #2: [38, 40, 139] from Operation: 69+70=139 Current State: 61:[38, 40, 139], Operations: ['69+70=139'] Exploring Operation: 38+40=78, Resulting Numbers: [139, 78] Generated Node #3: [139, 78] from Operation: 38+40=78 Current State: 61:[139, 78], Operations: ['69+70=139', '38+40=78'] Exploring Operation: 139-78=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 76, 49, 59, 9 ]
77
[ "76-49=27", "59-9=50", "27+50=77" ]
Current State: 77:[76, 49, 59, 9], Operations: [] Exploring Operation: 76-49=27, Resulting Numbers: [59, 9, 27] Generated Node #2: [59, 9, 27] from Operation: 76-49=27 Current State: 77:[59, 9, 27], Operations: ['76-49=27'] Exploring Operation: 59-9=50, Resulting Numbers: [27, 50] Generated Node #3: [27, 50] from Operation: 59-9=50 Current State: 77:[27, 50], Operations: ['76-49=27', '59-9=50'] Exploring Operation: 27+50=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 60, 32, 6, 54 ]
37
[ "60-32=28", "54/6=9", "28+9=37" ]
Current State: 37:[60, 32, 6, 54], Operations: [] Exploring Operation: 60-32=28, Resulting Numbers: [6, 54, 28] Generated Node #2: [6, 54, 28] from Operation: 60-32=28 Current State: 37:[6, 54, 28], Operations: ['60-32=28'] Exploring Operation: 54/6=9, Resulting Numbers: [28, 9] Generated Node #3: [28, 9] from Operation: 54/6=9 Current State: 37:[28, 9], Operations: ['60-32=28', '54/6=9'] Exploring Operation: 28+9=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 38, 69, 75, 3 ]
29
[ "38+69=107", "75+3=78", "107-78=29" ]
Current State: 29:[38, 69, 75, 3], Operations: [] Exploring Operation: 38+69=107, Resulting Numbers: [75, 3, 107] Generated Node #2: [75, 3, 107] from Operation: 38+69=107 Current State: 29:[75, 3, 107], Operations: ['38+69=107'] Exploring Operation: 75+3=78, Resulting Numbers: [107, 78] Generated Node #3: [107, 78] from Operation: 75+3=78 Current State: 29:[107, 78], Operations: ['38+69=107', '75+3=78'] Exploring Operation: 107-78=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 78, 36, 2, 73 ]
67
[ "78-73=5", "36*2=72", "72-5=67" ]
Current State: 67:[78, 36, 2, 73], Operations: [] Exploring Operation: 78-73=5, Resulting Numbers: [36, 2, 5] Generated Node #2: [36, 2, 5] from Operation: 78-73=5 Current State: 67:[36, 2, 5], Operations: ['78-73=5'] Exploring Operation: 36*2=72, Resulting Numbers: [5, 72] Generated Node #3: [5, 72] from Operation: 36*2=72 Current State: 67:[5, 72], Operations: ['78-73=5', '36*2=72'] Exploring Operation: 72-5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 12, 99, 23, 12 ]
52
[ "99-12=87", "23+12=35", "87-35=52" ]
Current State: 52:[12, 99, 23, 12], Operations: [] Exploring Operation: 99-12=87, Resulting Numbers: [23, 87] Generated Node #2: [23, 87] from Operation: 99-12=87 Current State: 52:[23, 87], Operations: ['99-12=87'] Exploring Operation: 23+12=35, Resulting Numbers: [87, 35] Generated Node #3: [87, 35] from Operation: 23+12=35 Current State: 52:[87, 35], Operations: ['99-12=87', '23+12=35'] Exploring Operation: 87-35=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 24, 15, 29, 15 ]
24
[ "29-15=14", "15-14=1", "24*1=24" ]
Current State: 24:[24, 15, 29, 15], Operations: [] Exploring Operation: 29-15=14, Resulting Numbers: [24, 14] Generated Node #2: [24, 14] from Operation: 29-15=14 Current State: 24:[24, 14], Operations: ['29-15=14'] Exploring Operation: 15-14=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 15-14=1 Current State: 24:[24, 1], Operations: ['29-15=14', '15-14=1'] Exploring Operation: 24*1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 24, 95, 83, 78 ]
25
[ "83-78=5", "24*5=120", "120-95=25" ]
Current State: 25:[24, 95, 83, 78], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [24, 95, 5] Generated Node #2: [24, 95, 5] from Operation: 83-78=5 Current State: 25:[24, 95, 5], Operations: ['83-78=5'] Exploring Operation: 24*5=120, Resulting Numbers: [95, 120] Generated Node #3: [95, 120] from Operation: 24*5=120 Current State: 25:[95, 120], Operations: ['83-78=5', '24*5=120'] Exploring Operation: 120-95=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 24, 85, 62, 89 ]
82
[ "24+85=109", "89-62=27", "109-27=82" ]
Current State: 82:[24, 85, 62, 89], Operations: [] Exploring Operation: 24+85=109, Resulting Numbers: [62, 89, 109] Generated Node #2: [62, 89, 109] from Operation: 24+85=109 Current State: 82:[62, 89, 109], Operations: ['24+85=109'] Exploring Operation: 89-62=27, Resulting Numbers: [109, 27] Generated Node #3: [109, 27] from Operation: 89-62=27 Current State: 82:[109, 27], Operations: ['24+85=109', '89-62=27'] Exploring Operation: 109-27=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 70, 56, 99, 7 ]
20
[ "70+56=126", "99+7=106", "126-106=20" ]
Current State: 20:[70, 56, 99, 7], Operations: [] Exploring Operation: 70+56=126, Resulting Numbers: [99, 7, 126] Generated Node #2: [99, 7, 126] from Operation: 70+56=126 Current State: 20:[99, 7, 126], Operations: ['70+56=126'] Exploring Operation: 99+7=106, Resulting Numbers: [126, 106] Generated Node #3: [126, 106] from Operation: 99+7=106 Current State: 20:[126, 106], Operations: ['70+56=126', '99+7=106'] Exploring Operation: 126-106=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 75, 22, 2, 32 ]
55
[ "75*22=1650", "32-2=30", "1650/30=55" ]
Current State: 55:[75, 22, 2, 32], Operations: [] Exploring Operation: 75*22=1650, Resulting Numbers: [2, 32, 1650] Generated Node #2: [2, 32, 1650] from Operation: 75*22=1650 Current State: 55:[2, 32, 1650], Operations: ['75*22=1650'] Exploring Operation: 32-2=30, Resulting Numbers: [1650, 30] Generated Node #3: [1650, 30] from Operation: 32-2=30 Current State: 55:[1650, 30], Operations: ['75*22=1650', '32-2=30'] Exploring Operation: 1650/30=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 36, 84, 18, 87 ]
57
[ "84-36=48", "18+87=105", "105-48=57" ]
Current State: 57:[36, 84, 18, 87], Operations: [] Exploring Operation: 84-36=48, Resulting Numbers: [18, 87, 48] Generated Node #2: [18, 87, 48] from Operation: 84-36=48 Current State: 57:[18, 87, 48], Operations: ['84-36=48'] Exploring Operation: 18+87=105, Resulting Numbers: [48, 105] Generated Node #3: [48, 105] from Operation: 18+87=105 Current State: 57:[48, 105], Operations: ['84-36=48', '18+87=105'] Exploring Operation: 105-48=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 41, 1, 18, 82 ]
22
[ "41+1=42", "82-18=64", "64-42=22" ]
Current State: 22:[41, 1, 18, 82], Operations: [] Exploring Operation: 41+1=42, Resulting Numbers: [18, 82, 42] Generated Node #2: [18, 82, 42] from Operation: 41+1=42 Current State: 22:[18, 82, 42], Operations: ['41+1=42'] Exploring Operation: 82-18=64, Resulting Numbers: [42, 64] Generated Node #3: [42, 64] from Operation: 82-18=64 Current State: 22:[42, 64], Operations: ['41+1=42', '82-18=64'] Exploring Operation: 64-42=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 3, 57, 43, 56 ]
45
[ "57-3=54", "43+56=99", "99-54=45" ]
Current State: 45:[3, 57, 43, 56], Operations: [] Exploring Operation: 57-3=54, Resulting Numbers: [43, 56, 54] Generated Node #2: [43, 56, 54] from Operation: 57-3=54 Current State: 45:[43, 56, 54], Operations: ['57-3=54'] Exploring Operation: 43+56=99, Resulting Numbers: [54, 99] Generated Node #3: [54, 99] from Operation: 43+56=99 Current State: 45:[54, 99], Operations: ['57-3=54', '43+56=99'] Exploring Operation: 99-54=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4