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
[ 4, 16, 41, 10 ]
15
[ "4*10=40", "41-16=25", "40-25=15" ]
Current State: 15:[4, 16, 41, 10], Operations: [] Exploring Operation: 4*10=40, Resulting Numbers: [16, 41, 40] Generated Node #2: [16, 41, 40] from Operation: 4*10=40 Current State: 15:[16, 41, 40], Operations: ['4*10=40'] Exploring Operation: 41-16=25, Resulting Numbers: [40, 25] Generated Node #3: [40, 25] from Operation: 41-16=25 Current State: 15:[40, 25], Operations: ['4*10=40', '41-16=25'] Exploring Operation: 40-25=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 80, 85, 48, 14 ]
39
[ "85-80=5", "48-14=34", "5+34=39" ]
Current State: 39:[80, 85, 48, 14], Operations: [] Exploring Operation: 85-80=5, Resulting Numbers: [48, 14, 5] Generated Node #2: [48, 14, 5] from Operation: 85-80=5 Current State: 39:[48, 14, 5], Operations: ['85-80=5'] Exploring Operation: 48-14=34, Resulting Numbers: [5, 34] Generated Node #3: [5, 34] from Operation: 48-14=34 Current State: 39:[5, 34], Operations: ['85-80=5', '48-14=34'] Exploring Operation: 5+34=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 71, 6, 93, 77 ]
81
[ "71-6=65", "93-77=16", "65+16=81" ]
Current State: 81:[71, 6, 93, 77], Operations: [] Exploring Operation: 71-6=65, Resulting Numbers: [93, 77, 65] Generated Node #2: [93, 77, 65] from Operation: 71-6=65 Current State: 81:[93, 77, 65], Operations: ['71-6=65'] Exploring Operation: 93-77=16, Resulting Numbers: [65, 16] Generated Node #3: [65, 16] from Operation: 93-77=16 Current State: 81:[65, 16], Operations: ['71-6=65', '93-77=16'] Exploring Operation: 65+16=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 2, 84, 39, 43 ]
92
[ "43-39=4", "2*4=8", "84+8=92" ]
Current State: 92:[2, 84, 39, 43], Operations: [] Exploring Operation: 43-39=4, Resulting Numbers: [2, 84, 4] Generated Node #2: [2, 84, 4] from Operation: 43-39=4 Current State: 92:[2, 84, 4], Operations: ['43-39=4'] Exploring Operation: 2*4=8, Resulting Numbers: [84, 8] Generated Node #3: [84, 8] from Operation: 2*4=8 Current State: 92:[84, 8], Operations: ['43-39=4', '2*4=8'] Exploring Operation: 84+8=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 51, 55, 58, 84 ]
53
[ "84-55=29", "58/29=2", "51+2=53" ]
Current State: 53:[51, 55, 58, 84], Operations: [] Exploring Operation: 84-55=29, Resulting Numbers: [51, 58, 29] Generated Node #2: [51, 58, 29] from Operation: 84-55=29 Current State: 53:[51, 58, 29], Operations: ['84-55=29'] Exploring Operation: 58/29=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 58/29=2 Current State: 53:[51, 2], Operations: ['84-55=29', '58/29=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 33, 30, 57, 33 ]
88
[ "33/33=1", "30+57=87", "1+87=88" ]
Current State: 88:[33, 30, 57, 33], Operations: [] Exploring Operation: 33/33=1, Resulting Numbers: [30, 57, 1] Generated Node #2: [30, 57, 1] from Operation: 33/33=1 Current State: 88:[30, 57, 1], Operations: ['33/33=1'] Exploring Operation: 30+57=87, Resulting Numbers: [1, 87] Generated Node #3: [1, 87] from Operation: 30+57=87 Current State: 88:[1, 87], Operations: ['33/33=1', '30+57=87'] Exploring Operation: 1+87=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 41, 5, 48, 3 ]
70
[ "41*3=123", "5+48=53", "123-53=70" ]
Current State: 70:[41, 5, 48, 3], Operations: [] Exploring Operation: 41*3=123, Resulting Numbers: [5, 48, 123] Generated Node #2: [5, 48, 123] from Operation: 41*3=123 Current State: 70:[5, 48, 123], Operations: ['41*3=123'] Exploring Operation: 5+48=53, Resulting Numbers: [123, 53] Generated Node #3: [123, 53] from Operation: 5+48=53 Current State: 70:[123, 53], Operations: ['41*3=123', '5+48=53'] Exploring Operation: 123-53=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 59, 12, 3, 8 ]
87
[ "59-8=51", "12*3=36", "51+36=87" ]
Current State: 87:[59, 12, 3, 8], Operations: [] Exploring Operation: 59-8=51, Resulting Numbers: [12, 3, 51] Generated Node #2: [12, 3, 51] from Operation: 59-8=51 Current State: 87:[12, 3, 51], Operations: ['59-8=51'] Exploring Operation: 12*3=36, Resulting Numbers: [51, 36] Generated Node #3: [51, 36] from Operation: 12*3=36 Current State: 87:[51, 36], Operations: ['59-8=51', '12*3=36'] Exploring Operation: 51+36=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 21, 97, 44, 41 ]
79
[ "97-21=76", "44-41=3", "76+3=79" ]
Current State: 79:[21, 97, 44, 41], Operations: [] Exploring Operation: 97-21=76, Resulting Numbers: [44, 41, 76] Generated Node #2: [44, 41, 76] from Operation: 97-21=76 Current State: 79:[44, 41, 76], Operations: ['97-21=76'] Exploring Operation: 44-41=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 44-41=3 Current State: 79:[76, 3], Operations: ['97-21=76', '44-41=3'] Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 21, 71, 18, 81 ]
49
[ "71-21=50", "18+81=99", "99-50=49" ]
Current State: 49:[21, 71, 18, 81], Operations: [] Exploring Operation: 71-21=50, Resulting Numbers: [18, 81, 50] Generated Node #2: [18, 81, 50] from Operation: 71-21=50 Current State: 49:[18, 81, 50], Operations: ['71-21=50'] Exploring Operation: 18+81=99, Resulting Numbers: [50, 99] Generated Node #3: [50, 99] from Operation: 18+81=99 Current State: 49:[50, 99], Operations: ['71-21=50', '18+81=99'] Exploring Operation: 99-50=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 19, 58, 95, 57 ]
29
[ "19*58=1102", "95-57=38", "1102/38=29" ]
Current State: 29:[19, 58, 95, 57], Operations: [] Exploring Operation: 19*58=1102, Resulting Numbers: [95, 57, 1102] Generated Node #2: [95, 57, 1102] from Operation: 19*58=1102 Current State: 29:[95, 57, 1102], Operations: ['19*58=1102'] Exploring Operation: 95-57=38, Resulting Numbers: [1102, 38] Generated Node #3: [1102, 38] from Operation: 95-57=38 Current State: 29:[1102, 38], Operations: ['19*58=1102', '95-57=38'] Exploring Operation: 1102/38=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 60, 8, 10, 22 ]
35
[ "10*22=220", "60+220=280", "280/8=35" ]
Current State: 35:[60, 8, 10, 22], Operations: [] Exploring Operation: 10*22=220, Resulting Numbers: [60, 8, 220] Generated Node #2: [60, 8, 220] from Operation: 10*22=220 Current State: 35:[60, 8, 220], Operations: ['10*22=220'] Exploring Operation: 60+220=280, Resulting Numbers: [8, 280] Generated Node #3: [8, 280] from Operation: 60+220=280 Current State: 35:[8, 280], Operations: ['10*22=220', '60+220=280'] Exploring Operation: 280/8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 72, 51, 1, 58 ]
64
[ "72+51=123", "1+58=59", "123-59=64" ]
Current State: 64:[72, 51, 1, 58], Operations: [] Exploring Operation: 72+51=123, Resulting Numbers: [1, 58, 123] Generated Node #2: [1, 58, 123] from Operation: 72+51=123 Current State: 64:[1, 58, 123], Operations: ['72+51=123'] Exploring Operation: 1+58=59, Resulting Numbers: [123, 59] Generated Node #3: [123, 59] from Operation: 1+58=59 Current State: 64:[123, 59], Operations: ['72+51=123', '1+58=59'] Exploring Operation: 123-59=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 54, 62, 6, 49 ]
35
[ "62-54=8", "49-6=43", "43-8=35" ]
Current State: 35:[54, 62, 6, 49], Operations: [] Exploring Operation: 62-54=8, Resulting Numbers: [6, 49, 8] Generated Node #2: [6, 49, 8] from Operation: 62-54=8 Current State: 35:[6, 49, 8], Operations: ['62-54=8'] Exploring Operation: 49-6=43, Resulting Numbers: [8, 43] Generated Node #3: [8, 43] from Operation: 49-6=43 Current State: 35:[8, 43], Operations: ['62-54=8', '49-6=43'] Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 87, 65, 80, 84 ]
53
[ "87-80=7", "84/7=12", "65-12=53" ]
Current State: 53:[87, 65, 80, 84], Operations: [] Exploring Operation: 87-80=7, Resulting Numbers: [65, 84, 7] Generated Node #2: [65, 84, 7] from Operation: 87-80=7 Current State: 53:[65, 84, 7], Operations: ['87-80=7'] Exploring Operation: 84/7=12, Resulting Numbers: [65, 12] Generated Node #3: [65, 12] from Operation: 84/7=12 Current State: 53:[65, 12], Operations: ['87-80=7', '84/7=12'] Exploring Operation: 65-12=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 67, 14, 68, 2 ]
27
[ "68-67=1", "14*2=28", "28-1=27" ]
Current State: 27:[67, 14, 68, 2], Operations: [] Exploring Operation: 68-67=1, Resulting Numbers: [14, 2, 1] Generated Node #2: [14, 2, 1] from Operation: 68-67=1 Current State: 27:[14, 2, 1], Operations: ['68-67=1'] Exploring Operation: 14*2=28, Resulting Numbers: [1, 28] Generated Node #3: [1, 28] from Operation: 14*2=28 Current State: 27:[1, 28], Operations: ['68-67=1', '14*2=28'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 12, 78, 36, 4 ]
29
[ "78*4=312", "36+312=348", "348/12=29" ]
Current State: 29:[12, 78, 36, 4], Operations: [] Exploring Operation: 78*4=312, Resulting Numbers: [12, 36, 312] Generated Node #2: [12, 36, 312] from Operation: 78*4=312 Current State: 29:[12, 36, 312], Operations: ['78*4=312'] Exploring Operation: 36+312=348, Resulting Numbers: [12, 348] Generated Node #3: [12, 348] from Operation: 36+312=348 Current State: 29:[12, 348], Operations: ['78*4=312', '36+312=348'] Exploring Operation: 348/12=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 92, 67, 53, 81 ]
53
[ "92-67=25", "81-53=28", "25+28=53" ]
Current State: 53:[92, 67, 53, 81], Operations: [] Exploring Operation: 92-67=25, Resulting Numbers: [53, 81, 25] Generated Node #2: [53, 81, 25] from Operation: 92-67=25 Current State: 53:[53, 81, 25], Operations: ['92-67=25'] Exploring Operation: 81-53=28, Resulting Numbers: [25, 28] Generated Node #3: [25, 28] from Operation: 81-53=28 Current State: 53:[25, 28], Operations: ['92-67=25', '81-53=28'] Exploring Operation: 25+28=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 23, 11, 58, 7 ]
53
[ "23-11=12", "58+7=65", "65-12=53" ]
Current State: 53:[23, 11, 58, 7], Operations: [] Exploring Operation: 23-11=12, Resulting Numbers: [58, 7, 12] Generated Node #2: [58, 7, 12] from Operation: 23-11=12 Current State: 53:[58, 7, 12], Operations: ['23-11=12'] Exploring Operation: 58+7=65, Resulting Numbers: [12, 65] Generated Node #3: [12, 65] from Operation: 58+7=65 Current State: 53:[12, 65], Operations: ['23-11=12', '58+7=65'] Exploring Operation: 65-12=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 74, 32, 89, 81 ]
64
[ "74+32=106", "89+81=170", "170-106=64" ]
Current State: 64:[74, 32, 89, 81], Operations: [] Exploring Operation: 74+32=106, Resulting Numbers: [89, 81, 106] Generated Node #2: [89, 81, 106] from Operation: 74+32=106 Current State: 64:[89, 81, 106], Operations: ['74+32=106'] Exploring Operation: 89+81=170, Resulting Numbers: [106, 170] Generated Node #3: [106, 170] from Operation: 89+81=170 Current State: 64:[106, 170], Operations: ['74+32=106', '89+81=170'] Exploring Operation: 170-106=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 63, 3, 7, 51 ]
57
[ "63+7=70", "70-51=19", "3*19=57" ]
Current State: 57:[63, 3, 7, 51], Operations: [] Exploring Operation: 63+7=70, Resulting Numbers: [3, 51, 70] Generated Node #2: [3, 51, 70] from Operation: 63+7=70 Current State: 57:[3, 51, 70], Operations: ['63+7=70'] Exploring Operation: 70-51=19, Resulting Numbers: [3, 19] Generated Node #3: [3, 19] from Operation: 70-51=19 Current State: 57:[3, 19], Operations: ['63+7=70', '70-51=19'] Exploring Operation: 3*19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 41, 39, 20, 13 ]
46
[ "41-39=2", "13*2=26", "20+26=46" ]
Current State: 46:[41, 39, 20, 13], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [20, 13, 2] Generated Node #2: [20, 13, 2] from Operation: 41-39=2 Current State: 46:[20, 13, 2], Operations: ['41-39=2'] Exploring Operation: 13*2=26, Resulting Numbers: [20, 26] Generated Node #3: [20, 26] from Operation: 13*2=26 Current State: 46:[20, 26], Operations: ['41-39=2', '13*2=26'] Exploring Operation: 20+26=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 85, 77, 5, 65 ]
68
[ "85-77=8", "65-5=60", "8+60=68" ]
Current State: 68:[85, 77, 5, 65], Operations: [] Exploring Operation: 85-77=8, Resulting Numbers: [5, 65, 8] Generated Node #2: [5, 65, 8] from Operation: 85-77=8 Current State: 68:[5, 65, 8], Operations: ['85-77=8'] Exploring Operation: 65-5=60, Resulting Numbers: [8, 60] Generated Node #3: [8, 60] from Operation: 65-5=60 Current State: 68:[8, 60], Operations: ['85-77=8', '65-5=60'] Exploring Operation: 8+60=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 6, 1, 24, 75 ]
79
[ "6*1=6", "24/6=4", "75+4=79" ]
Current State: 79:[6, 1, 24, 75], Operations: [] Exploring Operation: 6*1=6, Resulting Numbers: [24, 75, 6] Generated Node #2: [24, 75, 6] from Operation: 6*1=6 Current State: 79:[24, 75, 6], Operations: ['6*1=6'] Exploring Operation: 24/6=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 24/6=4 Current State: 79:[75, 4], Operations: ['6*1=6', '24/6=4'] Exploring Operation: 75+4=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 32, 27, 21, 52 ]
78
[ "32-27=5", "21+52=73", "5+73=78" ]
Current State: 78:[32, 27, 21, 52], Operations: [] Exploring Operation: 32-27=5, Resulting Numbers: [21, 52, 5] Generated Node #2: [21, 52, 5] from Operation: 32-27=5 Current State: 78:[21, 52, 5], Operations: ['32-27=5'] Exploring Operation: 21+52=73, Resulting Numbers: [5, 73] Generated Node #3: [5, 73] from Operation: 21+52=73 Current State: 78:[5, 73], Operations: ['32-27=5', '21+52=73'] Exploring Operation: 5+73=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 54, 31, 28, 4 ]
73
[ "54-28=26", "4*26=104", "104-31=73" ]
Current State: 73:[54, 31, 28, 4], Operations: [] Exploring Operation: 54-28=26, Resulting Numbers: [31, 4, 26] Generated Node #2: [31, 4, 26] from Operation: 54-28=26 Current State: 73:[31, 4, 26], Operations: ['54-28=26'] Exploring Operation: 4*26=104, Resulting Numbers: [31, 104] Generated Node #3: [31, 104] from Operation: 4*26=104 Current State: 73:[31, 104], Operations: ['54-28=26', '4*26=104'] Exploring Operation: 104-31=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 64, 9, 37, 79 ]
76
[ "64-37=27", "27/9=3", "79-3=76" ]
Current State: 76:[64, 9, 37, 79], Operations: [] Exploring Operation: 64-37=27, Resulting Numbers: [9, 79, 27] Generated Node #2: [9, 79, 27] from Operation: 64-37=27 Current State: 76:[9, 79, 27], Operations: ['64-37=27'] Exploring Operation: 27/9=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 27/9=3 Current State: 76:[79, 3], Operations: ['64-37=27', '27/9=3'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 55, 52, 39, 8 ]
93
[ "55-52=3", "39-8=31", "3*31=93" ]
Current State: 93:[55, 52, 39, 8], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [39, 8, 3] Generated Node #2: [39, 8, 3] from Operation: 55-52=3 Current State: 93:[39, 8, 3], Operations: ['55-52=3'] Exploring Operation: 39-8=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 39-8=31 Current State: 93:[3, 31], Operations: ['55-52=3', '39-8=31'] Exploring Operation: 3*31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 44, 86, 84, 30 ]
60
[ "86-44=42", "84*30=2520", "2520/42=60" ]
Current State: 60:[44, 86, 84, 30], Operations: [] Exploring Operation: 86-44=42, Resulting Numbers: [84, 30, 42] Generated Node #2: [84, 30, 42] from Operation: 86-44=42 Current State: 60:[84, 30, 42], Operations: ['86-44=42'] Exploring Operation: 84*30=2520, Resulting Numbers: [42, 2520] Generated Node #3: [42, 2520] from Operation: 84*30=2520 Current State: 60:[42, 2520], Operations: ['86-44=42', '84*30=2520'] Exploring Operation: 2520/42=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 76, 93, 57, 59 ]
59
[ "93+59=152", "152/76=2", "57+2=59" ]
Current State: 59:[76, 93, 57, 59], Operations: [] Exploring Operation: 93+59=152, Resulting Numbers: [76, 57, 152] Generated Node #2: [76, 57, 152] from Operation: 93+59=152 Current State: 59:[76, 57, 152], Operations: ['93+59=152'] Exploring Operation: 152/76=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 152/76=2 Current State: 59:[57, 2], Operations: ['93+59=152', '152/76=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 70, 62, 43, 26 ]
25
[ "70-62=8", "43-26=17", "8+17=25" ]
Current State: 25:[70, 62, 43, 26], Operations: [] Exploring Operation: 70-62=8, Resulting Numbers: [43, 26, 8] Generated Node #2: [43, 26, 8] from Operation: 70-62=8 Current State: 25:[43, 26, 8], Operations: ['70-62=8'] Exploring Operation: 43-26=17, Resulting Numbers: [8, 17] Generated Node #3: [8, 17] from Operation: 43-26=17 Current State: 25:[8, 17], Operations: ['70-62=8', '43-26=17'] Exploring Operation: 8+17=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 58, 31, 63, 3 ]
39
[ "58-31=27", "63+3=66", "66-27=39" ]
Current State: 39:[58, 31, 63, 3], Operations: [] Exploring Operation: 58-31=27, Resulting Numbers: [63, 3, 27] Generated Node #2: [63, 3, 27] from Operation: 58-31=27 Current State: 39:[63, 3, 27], Operations: ['58-31=27'] Exploring Operation: 63+3=66, Resulting Numbers: [27, 66] Generated Node #3: [27, 66] from Operation: 63+3=66 Current State: 39:[27, 66], Operations: ['58-31=27', '63+3=66'] Exploring Operation: 66-27=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 85, 76, 76, 81 ]
59
[ "81-76=5", "85/5=17", "76-17=59" ]
Current State: 59:[85, 76, 76, 81], Operations: [] Exploring Operation: 81-76=5, Resulting Numbers: [85, 5] Generated Node #2: [85, 5] from Operation: 81-76=5 Current State: 59:[85, 5], Operations: ['81-76=5'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,59 equal: Goal Reached Exploring Operation: 76-17=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 19, 31, 40, 27 ]
29
[ "31-27=4", "40/4=10", "19+10=29" ]
Current State: 29:[19, 31, 40, 27], Operations: [] Exploring Operation: 31-27=4, Resulting Numbers: [19, 40, 4] Generated Node #2: [19, 40, 4] from Operation: 31-27=4 Current State: 29:[19, 40, 4], Operations: ['31-27=4'] Exploring Operation: 40/4=10, Resulting Numbers: [19, 10] Generated Node #3: [19, 10] from Operation: 40/4=10 Current State: 29:[19, 10], Operations: ['31-27=4', '40/4=10'] Exploring Operation: 19+10=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 19, 72, 57, 77 ]
73
[ "72-19=53", "77-57=20", "53+20=73" ]
Current State: 73:[19, 72, 57, 77], Operations: [] Exploring Operation: 72-19=53, Resulting Numbers: [57, 77, 53] Generated Node #2: [57, 77, 53] from Operation: 72-19=53 Current State: 73:[57, 77, 53], Operations: ['72-19=53'] Exploring Operation: 77-57=20, Resulting Numbers: [53, 20] Generated Node #3: [53, 20] from Operation: 77-57=20 Current State: 73:[53, 20], Operations: ['72-19=53', '77-57=20'] Exploring Operation: 53+20=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 42, 11, 4, 45 ]
51
[ "11-4=7", "42/7=6", "45+6=51" ]
Current State: 51:[42, 11, 4, 45], Operations: [] Exploring Operation: 11-4=7, Resulting Numbers: [42, 45, 7] Generated Node #2: [42, 45, 7] from Operation: 11-4=7 Current State: 51:[42, 45, 7], Operations: ['11-4=7'] Exploring Operation: 42/7=6, Resulting Numbers: [45, 6] Generated Node #3: [45, 6] from Operation: 42/7=6 Current State: 51:[45, 6], Operations: ['11-4=7', '42/7=6'] Exploring Operation: 45+6=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 48, 58, 24, 11 ]
86
[ "58-48=10", "11*10=110", "110-24=86" ]
Current State: 86:[48, 58, 24, 11], Operations: [] Exploring Operation: 58-48=10, Resulting Numbers: [24, 11, 10] Generated Node #2: [24, 11, 10] from Operation: 58-48=10 Current State: 86:[24, 11, 10], Operations: ['58-48=10'] Exploring Operation: 11*10=110, Resulting Numbers: [24, 110] Generated Node #3: [24, 110] from Operation: 11*10=110 Current State: 86:[24, 110], Operations: ['58-48=10', '11*10=110'] Exploring Operation: 110-24=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 29, 97, 95, 1 ]
87
[ "97-95=2", "1+2=3", "29*3=87" ]
Current State: 87:[29, 97, 95, 1], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [29, 1, 2] Generated Node #2: [29, 1, 2] from Operation: 97-95=2 Current State: 87:[29, 1, 2], Operations: ['97-95=2'] Exploring Operation: 1+2=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 1+2=3 Current State: 87:[29, 3], Operations: ['97-95=2', '1+2=3'] Exploring Operation: 29*3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 32, 69, 76, 45 ]
48
[ "69+45=114", "32*114=3648", "3648/76=48" ]
Current State: 48:[32, 69, 76, 45], Operations: [] Exploring Operation: 69+45=114, Resulting Numbers: [32, 76, 114] Generated Node #2: [32, 76, 114] from Operation: 69+45=114 Current State: 48:[32, 76, 114], Operations: ['69+45=114'] Exploring Operation: 32*114=3648, Resulting Numbers: [76, 3648] Generated Node #3: [76, 3648] from Operation: 32*114=3648 Current State: 48:[76, 3648], Operations: ['69+45=114', '32*114=3648'] Exploring Operation: 3648/76=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 21, 70, 26, 72 ]
58
[ "26-21=5", "70/5=14", "72-14=58" ]
Current State: 58:[21, 70, 26, 72], Operations: [] Exploring Operation: 26-21=5, Resulting Numbers: [70, 72, 5] Generated Node #2: [70, 72, 5] from Operation: 26-21=5 Current State: 58:[70, 72, 5], Operations: ['26-21=5'] Exploring Operation: 70/5=14, Resulting Numbers: [72, 14] Generated Node #3: [72, 14] from Operation: 70/5=14 Current State: 58:[72, 14], Operations: ['26-21=5', '70/5=14'] Exploring Operation: 72-14=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 93, 18, 40, 80 ]
73
[ "93-18=75", "80/40=2", "75-2=73" ]
Current State: 73:[93, 18, 40, 80], Operations: [] Exploring Operation: 93-18=75, Resulting Numbers: [40, 80, 75] Generated Node #2: [40, 80, 75] from Operation: 93-18=75 Current State: 73:[40, 80, 75], Operations: ['93-18=75'] Exploring Operation: 80/40=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 80/40=2 Current State: 73:[75, 2], Operations: ['93-18=75', '80/40=2'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 42, 20, 27, 8 ]
97
[ "42+20=62", "27+8=35", "62+35=97" ]
Current State: 97:[42, 20, 27, 8], Operations: [] Exploring Operation: 42+20=62, Resulting Numbers: [27, 8, 62] Generated Node #2: [27, 8, 62] from Operation: 42+20=62 Current State: 97:[27, 8, 62], Operations: ['42+20=62'] Exploring Operation: 27+8=35, Resulting Numbers: [62, 35] Generated Node #3: [62, 35] from Operation: 27+8=35 Current State: 97:[62, 35], Operations: ['42+20=62', '27+8=35'] Exploring Operation: 62+35=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 90, 55, 24, 7 ]
66
[ "90-55=35", "24+7=31", "35+31=66" ]
Current State: 66:[90, 55, 24, 7], Operations: [] Exploring Operation: 90-55=35, Resulting Numbers: [24, 7, 35] Generated Node #2: [24, 7, 35] from Operation: 90-55=35 Current State: 66:[24, 7, 35], Operations: ['90-55=35'] Exploring Operation: 24+7=31, Resulting Numbers: [35, 31] Generated Node #3: [35, 31] from Operation: 24+7=31 Current State: 66:[35, 31], Operations: ['90-55=35', '24+7=31'] Exploring Operation: 35+31=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 86, 67, 61, 72 ]
84
[ "86-72=14", "67-61=6", "14*6=84" ]
Current State: 84:[86, 67, 61, 72], Operations: [] Exploring Operation: 86-72=14, Resulting Numbers: [67, 61, 14] Generated Node #2: [67, 61, 14] from Operation: 86-72=14 Current State: 84:[67, 61, 14], Operations: ['86-72=14'] Exploring Operation: 67-61=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 67-61=6 Current State: 84:[14, 6], Operations: ['86-72=14', '67-61=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 20, 33, 67, 53 ]
48
[ "33+67=100", "100/20=5", "53-5=48" ]
Current State: 48:[20, 33, 67, 53], Operations: [] Exploring Operation: 33+67=100, Resulting Numbers: [20, 53, 100] Generated Node #2: [20, 53, 100] from Operation: 33+67=100 Current State: 48:[20, 53, 100], Operations: ['33+67=100'] Exploring Operation: 100/20=5, Resulting Numbers: [53, 5] Generated Node #3: [53, 5] from Operation: 100/20=5 Current State: 48:[53, 5], Operations: ['33+67=100', '100/20=5'] Exploring Operation: 53-5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 63, 33, 17, 19 ]
48
[ "63+33=96", "19-17=2", "96/2=48" ]
Current State: 48:[63, 33, 17, 19], Operations: [] Exploring Operation: 63+33=96, Resulting Numbers: [17, 19, 96] Generated Node #2: [17, 19, 96] from Operation: 63+33=96 Current State: 48:[17, 19, 96], Operations: ['63+33=96'] Exploring Operation: 19-17=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 19-17=2 Current State: 48:[96, 2], Operations: ['63+33=96', '19-17=2'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 97, 29, 52, 39 ]
51
[ "97-29=68", "39*68=2652", "2652/52=51" ]
Current State: 51:[97, 29, 52, 39], Operations: [] Exploring Operation: 97-29=68, Resulting Numbers: [52, 39, 68] Generated Node #2: [52, 39, 68] from Operation: 97-29=68 Current State: 51:[52, 39, 68], Operations: ['97-29=68'] Exploring Operation: 39*68=2652, Resulting Numbers: [52, 2652] Generated Node #3: [52, 2652] from Operation: 39*68=2652 Current State: 51:[52, 2652], Operations: ['97-29=68', '39*68=2652'] Exploring Operation: 2652/52=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 5, 5, 87, 44 ]
44
[ "5-5=0", "87*0=0", "44+0=44" ]
Current State: 44:[5, 5, 87, 44], Operations: [] Exploring Operation: 5-5=0, Resulting Numbers: [87, 44, 0] Generated Node #2: [87, 44, 0] from Operation: 5-5=0 Current State: 44:[87, 44, 0], Operations: ['5-5=0'] Exploring Operation: 87*0=0, Resulting Numbers: [44, 0] Generated Node #3: [44, 0] from Operation: 87*0=0 Current State: 44:[44, 0], Operations: ['5-5=0', '87*0=0'] Exploring Operation: 44+0=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 22, 45, 89, 67 ]
46
[ "89-22=67", "67/67=1", "45+1=46" ]
Current State: 46:[22, 45, 89, 67], Operations: [] Exploring Operation: 89-22=67, Resulting Numbers: [45, 67, 67] Generated Node #2: [45, 67, 67] from Operation: 89-22=67 Current State: 46:[45, 67, 67], Operations: ['89-22=67'] Exploring Operation: 67/67=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 67/67=1 Current State: 46:[45, 1], Operations: ['89-22=67', '67/67=1'] Exploring Operation: 45+1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 34, 21, 17, 6 ]
63
[ "34/17=2", "21*6=126", "126/2=63" ]
Current State: 63:[34, 21, 17, 6], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [21, 6, 2] Generated Node #2: [21, 6, 2] from Operation: 34/17=2 Current State: 63:[21, 6, 2], Operations: ['34/17=2'] Exploring Operation: 21*6=126, Resulting Numbers: [2, 126] Generated Node #3: [2, 126] from Operation: 21*6=126 Current State: 63:[2, 126], Operations: ['34/17=2', '21*6=126'] Exploring Operation: 126/2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 58, 64, 33, 62 ]
66
[ "62-33=29", "58/29=2", "64+2=66" ]
Current State: 66:[58, 64, 33, 62], Operations: [] Exploring Operation: 62-33=29, Resulting Numbers: [58, 64, 29] Generated Node #2: [58, 64, 29] from Operation: 62-33=29 Current State: 66:[58, 64, 29], Operations: ['62-33=29'] Exploring Operation: 58/29=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 58/29=2 Current State: 66:[64, 2], Operations: ['62-33=29', '58/29=2'] Exploring Operation: 64+2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 81, 32, 4, 5 ]
48
[ "81-32=49", "5-4=1", "49-1=48" ]
Current State: 48:[81, 32, 4, 5], Operations: [] Exploring Operation: 81-32=49, Resulting Numbers: [4, 5, 49] Generated Node #2: [4, 5, 49] from Operation: 81-32=49 Current State: 48:[4, 5, 49], Operations: ['81-32=49'] Exploring Operation: 5-4=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 5-4=1 Current State: 48:[49, 1], Operations: ['81-32=49', '5-4=1'] Exploring Operation: 49-1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 51, 10, 39, 70 ]
72
[ "51-10=41", "70-39=31", "41+31=72" ]
Current State: 72:[51, 10, 39, 70], Operations: [] Exploring Operation: 51-10=41, Resulting Numbers: [39, 70, 41] Generated Node #2: [39, 70, 41] from Operation: 51-10=41 Current State: 72:[39, 70, 41], Operations: ['51-10=41'] Exploring Operation: 70-39=31, Resulting Numbers: [41, 31] Generated Node #3: [41, 31] from Operation: 70-39=31 Current State: 72:[41, 31], Operations: ['51-10=41', '70-39=31'] Exploring Operation: 41+31=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 65, 31, 2, 90 ]
51
[ "65+31=96", "90/2=45", "96-45=51" ]
Current State: 51:[65, 31, 2, 90], Operations: [] Exploring Operation: 65+31=96, Resulting Numbers: [2, 90, 96] Generated Node #2: [2, 90, 96] from Operation: 65+31=96 Current State: 51:[2, 90, 96], Operations: ['65+31=96'] Exploring Operation: 90/2=45, Resulting Numbers: [96, 45] Generated Node #3: [96, 45] from Operation: 90/2=45 Current State: 51:[96, 45], Operations: ['65+31=96', '90/2=45'] Exploring Operation: 96-45=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 74, 60, 48, 49 ]
83
[ "74-60=14", "48+49=97", "97-14=83" ]
Current State: 83:[74, 60, 48, 49], Operations: [] Exploring Operation: 74-60=14, Resulting Numbers: [48, 49, 14] Generated Node #2: [48, 49, 14] from Operation: 74-60=14 Current State: 83:[48, 49, 14], Operations: ['74-60=14'] Exploring Operation: 48+49=97, Resulting Numbers: [14, 97] Generated Node #3: [14, 97] from Operation: 48+49=97 Current State: 83:[14, 97], Operations: ['74-60=14', '48+49=97'] Exploring Operation: 97-14=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 18, 73, 70, 12 ]
42
[ "73-70=3", "18*3=54", "54-12=42" ]
Current State: 42:[18, 73, 70, 12], Operations: [] Exploring Operation: 73-70=3, Resulting Numbers: [18, 12, 3] Generated Node #2: [18, 12, 3] from Operation: 73-70=3 Current State: 42:[18, 12, 3], Operations: ['73-70=3'] Exploring Operation: 18*3=54, Resulting Numbers: [12, 54] Generated Node #3: [12, 54] from Operation: 18*3=54 Current State: 42:[12, 54], Operations: ['73-70=3', '18*3=54'] Exploring Operation: 54-12=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 21, 77, 80, 80 ]
77
[ "80-80=0", "21*0=0", "77+0=77" ]
Current State: 77:[21, 77, 80, 80], Operations: [] Exploring Operation: 80-80=0, Resulting Numbers: [21, 77, 0] Generated Node #2: [21, 77, 0] from Operation: 80-80=0 Current State: 77:[21, 77, 0], Operations: ['80-80=0'] Exploring Operation: 21*0=0, Resulting Numbers: [77, 0] Generated Node #3: [77, 0] from Operation: 21*0=0 Current State: 77:[77, 0], Operations: ['80-80=0', '21*0=0'] Exploring Operation: 77+0=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 78, 58, 24, 91 ]
47
[ "78-58=20", "91-24=67", "67-20=47" ]
Current State: 47:[78, 58, 24, 91], Operations: [] Exploring Operation: 78-58=20, Resulting Numbers: [24, 91, 20] Generated Node #2: [24, 91, 20] from Operation: 78-58=20 Current State: 47:[24, 91, 20], Operations: ['78-58=20'] Exploring Operation: 91-24=67, Resulting Numbers: [20, 67] Generated Node #3: [20, 67] from Operation: 91-24=67 Current State: 47:[20, 67], Operations: ['78-58=20', '91-24=67'] Exploring Operation: 67-20=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 31, 93, 88, 81 ]
61
[ "93/31=3", "81/3=27", "88-27=61" ]
Current State: 61:[31, 93, 88, 81], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [88, 81, 3] Generated Node #2: [88, 81, 3] from Operation: 93/31=3 Current State: 61:[88, 81, 3], Operations: ['93/31=3'] Exploring Operation: 81/3=27, Resulting Numbers: [88, 27] Generated Node #3: [88, 27] from Operation: 81/3=27 Current State: 61:[88, 27], Operations: ['93/31=3', '81/3=27'] Exploring Operation: 88-27=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 22, 73, 21, 29 ]
76
[ "29-22=7", "21/7=3", "73+3=76" ]
Current State: 76:[22, 73, 21, 29], Operations: [] Exploring Operation: 29-22=7, Resulting Numbers: [73, 21, 7] Generated Node #2: [73, 21, 7] from Operation: 29-22=7 Current State: 76:[73, 21, 7], Operations: ['29-22=7'] Exploring Operation: 21/7=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 21/7=3 Current State: 76:[73, 3], Operations: ['29-22=7', '21/7=3'] Exploring Operation: 73+3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 51, 75, 45, 9 ]
60
[ "75-51=24", "45-9=36", "24+36=60" ]
Current State: 60:[51, 75, 45, 9], Operations: [] Exploring Operation: 75-51=24, Resulting Numbers: [45, 9, 24] Generated Node #2: [45, 9, 24] from Operation: 75-51=24 Current State: 60:[45, 9, 24], Operations: ['75-51=24'] Exploring Operation: 45-9=36, Resulting Numbers: [24, 36] Generated Node #3: [24, 36] from Operation: 45-9=36 Current State: 60:[24, 36], Operations: ['75-51=24', '45-9=36'] Exploring Operation: 24+36=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 29, 10, 6, 28 ]
70
[ "29+6=35", "35-28=7", "10*7=70" ]
Current State: 70:[29, 10, 6, 28], Operations: [] Exploring Operation: 29+6=35, Resulting Numbers: [10, 28, 35] Generated Node #2: [10, 28, 35] from Operation: 29+6=35 Current State: 70:[10, 28, 35], Operations: ['29+6=35'] Exploring Operation: 35-28=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 35-28=7 Current State: 70:[10, 7], Operations: ['29+6=35', '35-28=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 5, 87, 67, 27 ]
31
[ "87-67=20", "20/5=4", "27+4=31" ]
Current State: 31:[5, 87, 67, 27], Operations: [] Exploring Operation: 87-67=20, Resulting Numbers: [5, 27, 20] Generated Node #2: [5, 27, 20] from Operation: 87-67=20 Current State: 31:[5, 27, 20], Operations: ['87-67=20'] Exploring Operation: 20/5=4, Resulting Numbers: [27, 4] Generated Node #3: [27, 4] from Operation: 20/5=4 Current State: 31:[27, 4], Operations: ['87-67=20', '20/5=4'] Exploring Operation: 27+4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 55, 75, 12, 39 ]
31
[ "75-55=20", "12+39=51", "51-20=31" ]
Current State: 31:[55, 75, 12, 39], Operations: [] Exploring Operation: 75-55=20, Resulting Numbers: [12, 39, 20] Generated Node #2: [12, 39, 20] from Operation: 75-55=20 Current State: 31:[12, 39, 20], Operations: ['75-55=20'] Exploring Operation: 12+39=51, Resulting Numbers: [20, 51] Generated Node #3: [20, 51] from Operation: 12+39=51 Current State: 31:[20, 51], Operations: ['75-55=20', '12+39=51'] Exploring Operation: 51-20=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 92, 64, 49, 12 ]
89
[ "92-64=28", "49+12=61", "28+61=89" ]
Current State: 89:[92, 64, 49, 12], Operations: [] Exploring Operation: 92-64=28, Resulting Numbers: [49, 12, 28] Generated Node #2: [49, 12, 28] from Operation: 92-64=28 Current State: 89:[49, 12, 28], Operations: ['92-64=28'] Exploring Operation: 49+12=61, Resulting Numbers: [28, 61] Generated Node #3: [28, 61] from Operation: 49+12=61 Current State: 89:[28, 61], Operations: ['92-64=28', '49+12=61'] Exploring Operation: 28+61=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 24, 30, 51, 29 ]
86
[ "30-24=6", "51+29=80", "6+80=86" ]
Current State: 86:[24, 30, 51, 29], Operations: [] Exploring Operation: 30-24=6, Resulting Numbers: [51, 29, 6] Generated Node #2: [51, 29, 6] from Operation: 30-24=6 Current State: 86:[51, 29, 6], Operations: ['30-24=6'] Exploring Operation: 51+29=80, Resulting Numbers: [6, 80] Generated Node #3: [6, 80] from Operation: 51+29=80 Current State: 86:[6, 80], Operations: ['30-24=6', '51+29=80'] Exploring Operation: 6+80=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 79, 14, 36, 2 ]
99
[ "79-14=65", "36-2=34", "65+34=99" ]
Current State: 99:[79, 14, 36, 2], Operations: [] Exploring Operation: 79-14=65, Resulting Numbers: [36, 2, 65] Generated Node #2: [36, 2, 65] from Operation: 79-14=65 Current State: 99:[36, 2, 65], Operations: ['79-14=65'] Exploring Operation: 36-2=34, Resulting Numbers: [65, 34] Generated Node #3: [65, 34] from Operation: 36-2=34 Current State: 99:[65, 34], Operations: ['79-14=65', '36-2=34'] Exploring Operation: 65+34=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 82, 12, 72, 84 ]
95
[ "72+84=156", "156/12=13", "82+13=95" ]
Current State: 95:[82, 12, 72, 84], Operations: [] Exploring Operation: 72+84=156, Resulting Numbers: [82, 12, 156] Generated Node #2: [82, 12, 156] from Operation: 72+84=156 Current State: 95:[82, 12, 156], Operations: ['72+84=156'] Exploring Operation: 156/12=13, Resulting Numbers: [82, 13] Generated Node #3: [82, 13] from Operation: 156/12=13 Current State: 95:[82, 13], Operations: ['72+84=156', '156/12=13'] Exploring Operation: 82+13=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 60, 13, 80, 52 ]
80
[ "80-60=20", "52/13=4", "20*4=80" ]
Current State: 80:[60, 13, 80, 52], Operations: [] Exploring Operation: 80-60=20, Resulting Numbers: [13, 52, 20] Generated Node #2: [13, 52, 20] from Operation: 80-60=20 Current State: 80:[13, 52, 20], Operations: ['80-60=20'] Exploring Operation: 52/13=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 52/13=4 Current State: 80:[20, 4], Operations: ['80-60=20', '52/13=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 15, 10, 36, 20 ]
57
[ "20/10=2", "36*2=72", "72-15=57" ]
Current State: 57:[15, 10, 36, 20], Operations: [] Exploring Operation: 20/10=2, Resulting Numbers: [15, 36, 2] Generated Node #2: [15, 36, 2] from Operation: 20/10=2 Current State: 57:[15, 36, 2], Operations: ['20/10=2'] Exploring Operation: 36*2=72, Resulting Numbers: [15, 72] Generated Node #3: [15, 72] from Operation: 36*2=72 Current State: 57:[15, 72], Operations: ['20/10=2', '36*2=72'] Exploring Operation: 72-15=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 25, 23, 84, 61 ]
25
[ "25+23=48", "84-61=23", "48-23=25" ]
Current State: 25:[25, 23, 84, 61], Operations: [] Exploring Operation: 25+23=48, Resulting Numbers: [84, 61, 48] Generated Node #2: [84, 61, 48] from Operation: 25+23=48 Current State: 25:[84, 61, 48], Operations: ['25+23=48'] Exploring Operation: 84-61=23, Resulting Numbers: [48, 23] Generated Node #3: [48, 23] from Operation: 84-61=23 Current State: 25:[48, 23], Operations: ['25+23=48', '84-61=23'] Exploring Operation: 48-23=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 20, 1, 40, 26 ]
12
[ "40/20=2", "26/2=13", "13-1=12" ]
Current State: 12:[20, 1, 40, 26], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [1, 26, 2] Generated Node #2: [1, 26, 2] from Operation: 40/20=2 Current State: 12:[1, 26, 2], Operations: ['40/20=2'] Exploring Operation: 26/2=13, Resulting Numbers: [1, 13] Generated Node #3: [1, 13] from Operation: 26/2=13 Current State: 12:[1, 13], Operations: ['40/20=2', '26/2=13'] Exploring Operation: 13-1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 98, 78, 89, 49 ]
20
[ "98-78=20", "89-49=40", "40-20=20" ]
Current State: 20:[98, 78, 89, 49], Operations: [] Exploring Operation: 98-78=20, Resulting Numbers: [89, 49, 20] Generated Node #2: [89, 49, 20] from Operation: 98-78=20 Current State: 20:[89, 49, 20], Operations: ['98-78=20'] Exploring Operation: 89-49=40, Resulting Numbers: [20, 40] Generated Node #3: [20, 40] from Operation: 89-49=40 Current State: 20:[20, 40], Operations: ['98-78=20', '89-49=40'] Exploring Operation: 40-20=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 51, 9, 88, 56 ]
43
[ "56-51=5", "9*5=45", "88-45=43" ]
Current State: 43:[51, 9, 88, 56], Operations: [] Exploring Operation: 56-51=5, Resulting Numbers: [9, 88, 5] Generated Node #2: [9, 88, 5] from Operation: 56-51=5 Current State: 43:[9, 88, 5], Operations: ['56-51=5'] Exploring Operation: 9*5=45, Resulting Numbers: [88, 45] Generated Node #3: [88, 45] from Operation: 9*5=45 Current State: 43:[88, 45], Operations: ['56-51=5', '9*5=45'] Exploring Operation: 88-45=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 55, 45, 60, 51 ]
60
[ "60-55=5", "45/5=9", "51+9=60" ]
Current State: 60:[55, 45, 60, 51], Operations: [] Exploring Operation: 60-55=5, Resulting Numbers: [45, 51, 5] Generated Node #2: [45, 51, 5] from Operation: 60-55=5 Current State: 60:[45, 51, 5], Operations: ['60-55=5'] Exploring Operation: 45/5=9, Resulting Numbers: [51, 9] Generated Node #3: [51, 9] from Operation: 45/5=9 Current State: 60:[51, 9], Operations: ['60-55=5', '45/5=9'] Exploring Operation: 51+9=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 25, 47, 41, 3 ]
25
[ "47-25=22", "3*22=66", "66-41=25" ]
Current State: 25:[25, 47, 41, 3], Operations: [] Exploring Operation: 47-25=22, Resulting Numbers: [41, 3, 22] Generated Node #2: [41, 3, 22] from Operation: 47-25=22 Current State: 25:[41, 3, 22], Operations: ['47-25=22'] Exploring Operation: 3*22=66, Resulting Numbers: [41, 66] Generated Node #3: [41, 66] from Operation: 3*22=66 Current State: 25:[41, 66], Operations: ['47-25=22', '3*22=66'] Exploring Operation: 66-41=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 64, 17, 8, 99 ]
75
[ "17-8=9", "99/9=11", "64+11=75" ]
Current State: 75:[64, 17, 8, 99], Operations: [] Exploring Operation: 17-8=9, Resulting Numbers: [64, 99, 9] Generated Node #2: [64, 99, 9] from Operation: 17-8=9 Current State: 75:[64, 99, 9], Operations: ['17-8=9'] Exploring Operation: 99/9=11, Resulting Numbers: [64, 11] Generated Node #3: [64, 11] from Operation: 99/9=11 Current State: 75:[64, 11], Operations: ['17-8=9', '99/9=11'] Exploring Operation: 64+11=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 10, 30, 89, 91 ]
38
[ "10+30=40", "91-89=2", "40-2=38" ]
Current State: 38:[10, 30, 89, 91], Operations: [] Exploring Operation: 10+30=40, Resulting Numbers: [89, 91, 40] Generated Node #2: [89, 91, 40] from Operation: 10+30=40 Current State: 38:[89, 91, 40], Operations: ['10+30=40'] Exploring Operation: 91-89=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 91-89=2 Current State: 38:[40, 2], Operations: ['10+30=40', '91-89=2'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 64, 90, 19, 48 ]
41
[ "90-64=26", "19+48=67", "67-26=41" ]
Current State: 41:[64, 90, 19, 48], Operations: [] Exploring Operation: 90-64=26, Resulting Numbers: [19, 48, 26] Generated Node #2: [19, 48, 26] from Operation: 90-64=26 Current State: 41:[19, 48, 26], Operations: ['90-64=26'] Exploring Operation: 19+48=67, Resulting Numbers: [26, 67] Generated Node #3: [26, 67] from Operation: 19+48=67 Current State: 41:[26, 67], Operations: ['90-64=26', '19+48=67'] Exploring Operation: 67-26=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 11, 88, 13, 2 ]
88
[ "11+88=99", "13-2=11", "99-11=88" ]
Current State: 88:[11, 88, 13, 2], Operations: [] Exploring Operation: 11+88=99, Resulting Numbers: [13, 2, 99] Generated Node #2: [13, 2, 99] from Operation: 11+88=99 Current State: 88:[13, 2, 99], Operations: ['11+88=99'] Exploring Operation: 13-2=11, Resulting Numbers: [99, 11] Generated Node #3: [99, 11] from Operation: 13-2=11 Current State: 88:[99, 11], Operations: ['11+88=99', '13-2=11'] Exploring Operation: 99-11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 78, 66, 90, 47 ]
94
[ "66+90=156", "156/78=2", "47*2=94" ]
Current State: 94:[78, 66, 90, 47], Operations: [] Exploring Operation: 66+90=156, Resulting Numbers: [78, 47, 156] Generated Node #2: [78, 47, 156] from Operation: 66+90=156 Current State: 94:[78, 47, 156], Operations: ['66+90=156'] Exploring Operation: 156/78=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 156/78=2 Current State: 94:[47, 2], Operations: ['66+90=156', '156/78=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 29, 11, 38, 29 ]
28
[ "29/29=1", "38-11=27", "1+27=28" ]
Current State: 28:[29, 11, 38, 29], Operations: [] Exploring Operation: 29/29=1, Resulting Numbers: [11, 38, 1] Generated Node #2: [11, 38, 1] from Operation: 29/29=1 Current State: 28:[11, 38, 1], Operations: ['29/29=1'] Exploring Operation: 38-11=27, Resulting Numbers: [1, 27] Generated Node #3: [1, 27] from Operation: 38-11=27 Current State: 28:[1, 27], Operations: ['29/29=1', '38-11=27'] Exploring Operation: 1+27=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 2, 15, 64, 63 ]
56
[ "64-15=49", "63+49=112", "112/2=56" ]
Current State: 56:[2, 15, 64, 63], Operations: [] Exploring Operation: 64-15=49, Resulting Numbers: [2, 63, 49] Generated Node #2: [2, 63, 49] from Operation: 64-15=49 Current State: 56:[2, 63, 49], Operations: ['64-15=49'] Exploring Operation: 63+49=112, Resulting Numbers: [2, 112] Generated Node #3: [2, 112] from Operation: 63+49=112 Current State: 56:[2, 112], Operations: ['64-15=49', '63+49=112'] Exploring Operation: 112/2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 5, 83, 77, 27 ]
99
[ "83+27=110", "110/5=22", "77+22=99" ]
Current State: 99:[5, 83, 77, 27], Operations: [] Exploring Operation: 83+27=110, Resulting Numbers: [5, 77, 110] Generated Node #2: [5, 77, 110] from Operation: 83+27=110 Current State: 99:[5, 77, 110], Operations: ['83+27=110'] Exploring Operation: 110/5=22, Resulting Numbers: [77, 22] Generated Node #3: [77, 22] from Operation: 110/5=22 Current State: 99:[77, 22], Operations: ['83+27=110', '110/5=22'] Exploring Operation: 77+22=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 92, 93, 1, 46 ]
47
[ "93-92=1", "1+46=47", "1*47=47" ]
Current State: 47:[92, 93, 1, 46], Operations: [] Exploring Operation: 93-92=1, Resulting Numbers: [1, 46, 1] Generated Node #2: [1, 46, 1] from Operation: 93-92=1 Current State: 47:[1, 46, 1], Operations: ['93-92=1'] Exploring Operation: 1+46=47, Resulting Numbers: [47] 47,47 equal: Goal Reached Exploring Operation: 1*47=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 88, 47, 94, 18 ]
53
[ "88+18=106", "94/47=2", "106/2=53" ]
Current State: 53:[88, 47, 94, 18], Operations: [] Exploring Operation: 88+18=106, Resulting Numbers: [47, 94, 106] Generated Node #2: [47, 94, 106] from Operation: 88+18=106 Current State: 53:[47, 94, 106], Operations: ['88+18=106'] Exploring Operation: 94/47=2, Resulting Numbers: [106, 2] Generated Node #3: [106, 2] from Operation: 94/47=2 Current State: 53:[106, 2], Operations: ['88+18=106', '94/47=2'] Exploring Operation: 106/2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 69, 63, 27, 64 ]
98
[ "69-63=6", "27*6=162", "162-64=98" ]
Current State: 98:[69, 63, 27, 64], Operations: [] Exploring Operation: 69-63=6, Resulting Numbers: [27, 64, 6] Generated Node #2: [27, 64, 6] from Operation: 69-63=6 Current State: 98:[27, 64, 6], Operations: ['69-63=6'] Exploring Operation: 27*6=162, Resulting Numbers: [64, 162] Generated Node #3: [64, 162] from Operation: 27*6=162 Current State: 98:[64, 162], Operations: ['69-63=6', '27*6=162'] Exploring Operation: 162-64=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 88, 92, 48, 44 ]
70
[ "88/44=2", "92+48=140", "140/2=70" ]
Current State: 70:[88, 92, 48, 44], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [92, 48, 2] Generated Node #2: [92, 48, 2] from Operation: 88/44=2 Current State: 70:[92, 48, 2], Operations: ['88/44=2'] Exploring Operation: 92+48=140, Resulting Numbers: [2, 140] Generated Node #3: [2, 140] from Operation: 92+48=140 Current State: 70:[2, 140], Operations: ['88/44=2', '92+48=140'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 95, 90, 36, 53 ]
94
[ "95-90=5", "36+53=89", "5+89=94" ]
Current State: 94:[95, 90, 36, 53], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [36, 53, 5] Generated Node #2: [36, 53, 5] from Operation: 95-90=5 Current State: 94:[36, 53, 5], Operations: ['95-90=5'] Exploring Operation: 36+53=89, Resulting Numbers: [5, 89] Generated Node #3: [5, 89] from Operation: 36+53=89 Current State: 94:[5, 89], Operations: ['95-90=5', '36+53=89'] Exploring Operation: 5+89=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 29, 79, 54, 42 ]
12
[ "29+79=108", "54+42=96", "108-96=12" ]
Current State: 12:[29, 79, 54, 42], Operations: [] Exploring Operation: 29+79=108, Resulting Numbers: [54, 42, 108] Generated Node #2: [54, 42, 108] from Operation: 29+79=108 Current State: 12:[54, 42, 108], Operations: ['29+79=108'] Exploring Operation: 54+42=96, Resulting Numbers: [108, 96] Generated Node #3: [108, 96] from Operation: 54+42=96 Current State: 12:[108, 96], Operations: ['29+79=108', '54+42=96'] Exploring Operation: 108-96=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 99, 21, 7, 3 ]
15
[ "21+7=28", "3*28=84", "99-84=15" ]
Current State: 15:[99, 21, 7, 3], Operations: [] Exploring Operation: 21+7=28, Resulting Numbers: [99, 3, 28] Generated Node #2: [99, 3, 28] from Operation: 21+7=28 Current State: 15:[99, 3, 28], Operations: ['21+7=28'] Exploring Operation: 3*28=84, Resulting Numbers: [99, 84] Generated Node #3: [99, 84] from Operation: 3*28=84 Current State: 15:[99, 84], Operations: ['21+7=28', '3*28=84'] Exploring Operation: 99-84=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 72, 88, 63, 84 ]
13
[ "72+88=160", "63+84=147", "160-147=13" ]
Current State: 13:[72, 88, 63, 84], Operations: [] Exploring Operation: 72+88=160, Resulting Numbers: [63, 84, 160] Generated Node #2: [63, 84, 160] from Operation: 72+88=160 Current State: 13:[63, 84, 160], Operations: ['72+88=160'] Exploring Operation: 63+84=147, Resulting Numbers: [160, 147] Generated Node #3: [160, 147] from Operation: 63+84=147 Current State: 13:[160, 147], Operations: ['72+88=160', '63+84=147'] Exploring Operation: 160-147=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 37, 92, 9, 30 ]
11
[ "37+92=129", "129-30=99", "99/9=11" ]
Current State: 11:[37, 92, 9, 30], Operations: [] Exploring Operation: 37+92=129, Resulting Numbers: [9, 30, 129] Generated Node #2: [9, 30, 129] from Operation: 37+92=129 Current State: 11:[9, 30, 129], Operations: ['37+92=129'] Exploring Operation: 129-30=99, Resulting Numbers: [9, 99] Generated Node #3: [9, 99] from Operation: 129-30=99 Current State: 11:[9, 99], Operations: ['37+92=129', '129-30=99'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 31, 65, 34, 78 ]
77
[ "65-31=34", "34/34=1", "78-1=77" ]
Current State: 77:[31, 65, 34, 78], Operations: [] Exploring Operation: 65-31=34, Resulting Numbers: [34, 78, 34] Generated Node #2: [34, 78, 34] from Operation: 65-31=34 Current State: 77:[34, 78, 34], Operations: ['65-31=34'] Exploring Operation: 34/34=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 34/34=1 Current State: 77:[78, 1], Operations: ['65-31=34', '34/34=1'] Exploring Operation: 78-1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 48, 72, 36, 85 ]
61
[ "48*36=1728", "1728/72=24", "85-24=61" ]
Current State: 61:[48, 72, 36, 85], Operations: [] Exploring Operation: 48*36=1728, Resulting Numbers: [72, 85, 1728] Generated Node #2: [72, 85, 1728] from Operation: 48*36=1728 Current State: 61:[72, 85, 1728], Operations: ['48*36=1728'] Exploring Operation: 1728/72=24, Resulting Numbers: [85, 24] Generated Node #3: [85, 24] from Operation: 1728/72=24 Current State: 61:[85, 24], Operations: ['48*36=1728', '1728/72=24'] Exploring Operation: 85-24=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 89, 4, 57, 57 ]
100
[ "89-57=32", "57-32=25", "4*25=100" ]
Current State: 100:[89, 4, 57, 57], Operations: [] Exploring Operation: 89-57=32, Resulting Numbers: [4, 32] Generated Node #2: [4, 32] from Operation: 89-57=32 Current State: 100:[4, 32], Operations: ['89-57=32'] Exploring Operation: 57-32=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 57-32=25 Current State: 100:[4, 25], Operations: ['89-57=32', '57-32=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 33, 71, 76, 98 ]
100
[ "71-33=38", "76/38=2", "98+2=100" ]
Current State: 100:[33, 71, 76, 98], Operations: [] Exploring Operation: 71-33=38, Resulting Numbers: [76, 98, 38] Generated Node #2: [76, 98, 38] from Operation: 71-33=38 Current State: 100:[76, 98, 38], Operations: ['71-33=38'] Exploring Operation: 76/38=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 76/38=2 Current State: 100:[98, 2], Operations: ['71-33=38', '76/38=2'] Exploring Operation: 98+2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 20, 88, 44, 73 ]
55
[ "73-20=53", "88/44=2", "53+2=55" ]
Current State: 55:[20, 88, 44, 73], Operations: [] Exploring Operation: 73-20=53, Resulting Numbers: [88, 44, 53] Generated Node #2: [88, 44, 53] from Operation: 73-20=53 Current State: 55:[88, 44, 53], Operations: ['73-20=53'] Exploring Operation: 88/44=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 88/44=2 Current State: 55:[53, 2], Operations: ['73-20=53', '88/44=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 59, 2, 88, 84 ]
54
[ "59*2=118", "88+84=172", "172-118=54" ]
Current State: 54:[59, 2, 88, 84], Operations: [] Exploring Operation: 59*2=118, Resulting Numbers: [88, 84, 118] Generated Node #2: [88, 84, 118] from Operation: 59*2=118 Current State: 54:[88, 84, 118], Operations: ['59*2=118'] Exploring Operation: 88+84=172, Resulting Numbers: [118, 172] Generated Node #3: [118, 172] from Operation: 88+84=172 Current State: 54:[118, 172], Operations: ['59*2=118', '88+84=172'] Exploring Operation: 172-118=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 33, 44, 6, 29 ]
22
[ "33-6=27", "29-27=2", "44/2=22" ]
Current State: 22:[33, 44, 6, 29], Operations: [] Exploring Operation: 33-6=27, Resulting Numbers: [44, 29, 27] Generated Node #2: [44, 29, 27] from Operation: 33-6=27 Current State: 22:[44, 29, 27], Operations: ['33-6=27'] Exploring Operation: 29-27=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 29-27=2 Current State: 22:[44, 2], Operations: ['33-6=27', '29-27=2'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4