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
[ 25, 15, 20, 61 ]
59
[ "25+15=40", "40/20=2", "61-2=59" ]
Current State: 59:[25, 15, 20, 61], Operations: [] Exploring Operation: 25+15=40, Resulting Numbers: [20, 61, 40] Generated Node #2: [20, 61, 40] from Operation: 25+15=40 Current State: 59:[20, 61, 40], Operations: ['25+15=40'] Exploring Operation: 40/20=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 40/20=2 Current State: 59:[61, 2], Operations: ['25+15=40', '40/20=2'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 66, 56, 60, 26 ]
68
[ "56-26=30", "60/30=2", "66+2=68" ]
Current State: 68:[66, 56, 60, 26], Operations: [] Exploring Operation: 56-26=30, Resulting Numbers: [66, 60, 30] Generated Node #2: [66, 60, 30] from Operation: 56-26=30 Current State: 68:[66, 60, 30], Operations: ['56-26=30'] Exploring Operation: 60/30=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 60/30=2 Current State: 68:[66, 2], Operations: ['56-26=30', '60/30=2'] Exploring Operation: 66+2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 56, 60, 44, 53 ]
71
[ "60*53=3180", "3180-56=3124", "3124/44=71" ]
Current State: 71:[56, 60, 44, 53], Operations: [] Exploring Operation: 60*53=3180, Resulting Numbers: [56, 44, 3180] Generated Node #2: [56, 44, 3180] from Operation: 60*53=3180 Current State: 71:[56, 44, 3180], Operations: ['60*53=3180'] Exploring Operation: 3180-56=3124, Resulting Numbers: [44, 3124] Generated Node #3: [44, 3124] from Operation: 3180-56=3124 Current State: 71:[44, 3124], Operations: ['60*53=3180', '3180-56=3124'] Exploring Operation: 3124/44=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 19, 19, 93, 21 ]
34
[ "19+19=38", "93-21=72", "72-38=34" ]
Current State: 34:[19, 19, 93, 21], Operations: [] Exploring Operation: 19+19=38, Resulting Numbers: [93, 21, 38] Generated Node #2: [93, 21, 38] from Operation: 19+19=38 Current State: 34:[93, 21, 38], Operations: ['19+19=38'] Exploring Operation: 93-21=72, Resulting Numbers: [38, 72] Generated Node #3: [38, 72] from Operation: 93-21=72 Current State: 34:[38, 72], Operations: ['19+19=38', '93-21=72'] Exploring Operation: 72-38=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 37, 25, 99, 83 ]
46
[ "37+25=62", "99-83=16", "62-16=46" ]
Current State: 46:[37, 25, 99, 83], Operations: [] Exploring Operation: 37+25=62, Resulting Numbers: [99, 83, 62] Generated Node #2: [99, 83, 62] from Operation: 37+25=62 Current State: 46:[99, 83, 62], Operations: ['37+25=62'] Exploring Operation: 99-83=16, Resulting Numbers: [62, 16] Generated Node #3: [62, 16] from Operation: 99-83=16 Current State: 46:[62, 16], Operations: ['37+25=62', '99-83=16'] Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 55, 46, 66, 36 ]
62
[ "55-46=9", "36/9=4", "66-4=62" ]
Current State: 62:[55, 46, 66, 36], Operations: [] Exploring Operation: 55-46=9, Resulting Numbers: [66, 36, 9] Generated Node #2: [66, 36, 9] from Operation: 55-46=9 Current State: 62:[66, 36, 9], Operations: ['55-46=9'] Exploring Operation: 36/9=4, Resulting Numbers: [66, 4] Generated Node #3: [66, 4] from Operation: 36/9=4 Current State: 62:[66, 4], Operations: ['55-46=9', '36/9=4'] Exploring Operation: 66-4=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 96, 64, 16, 81 ]
91
[ "96+64=160", "160/16=10", "81+10=91" ]
Current State: 91:[96, 64, 16, 81], Operations: [] Exploring Operation: 96+64=160, Resulting Numbers: [16, 81, 160] Generated Node #2: [16, 81, 160] from Operation: 96+64=160 Current State: 91:[16, 81, 160], Operations: ['96+64=160'] Exploring Operation: 160/16=10, Resulting Numbers: [81, 10] Generated Node #3: [81, 10] from Operation: 160/16=10 Current State: 91:[81, 10], Operations: ['96+64=160', '160/16=10'] Exploring Operation: 81+10=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 63, 57, 38, 61 ]
21
[ "63+57=120", "38+61=99", "120-99=21" ]
Current State: 21:[63, 57, 38, 61], Operations: [] Exploring Operation: 63+57=120, Resulting Numbers: [38, 61, 120] Generated Node #2: [38, 61, 120] from Operation: 63+57=120 Current State: 21:[38, 61, 120], Operations: ['63+57=120'] Exploring Operation: 38+61=99, Resulting Numbers: [120, 99] Generated Node #3: [120, 99] from Operation: 38+61=99 Current State: 21:[120, 99], Operations: ['63+57=120', '38+61=99'] Exploring Operation: 120-99=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 65, 68, 2, 57 ]
95
[ "65+68=133", "57+133=190", "190/2=95" ]
Current State: 95:[65, 68, 2, 57], Operations: [] Exploring Operation: 65+68=133, Resulting Numbers: [2, 57, 133] Generated Node #2: [2, 57, 133] from Operation: 65+68=133 Current State: 95:[2, 57, 133], Operations: ['65+68=133'] Exploring Operation: 57+133=190, Resulting Numbers: [2, 190] Generated Node #3: [2, 190] from Operation: 57+133=190 Current State: 95:[2, 190], Operations: ['65+68=133', '57+133=190'] Exploring Operation: 190/2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 26, 5, 54, 37 ]
38
[ "26-5=21", "54-37=17", "21+17=38" ]
Current State: 38:[26, 5, 54, 37], Operations: [] Exploring Operation: 26-5=21, Resulting Numbers: [54, 37, 21] Generated Node #2: [54, 37, 21] from Operation: 26-5=21 Current State: 38:[54, 37, 21], Operations: ['26-5=21'] Exploring Operation: 54-37=17, Resulting Numbers: [21, 17] Generated Node #3: [21, 17] from Operation: 54-37=17 Current State: 38:[21, 17], Operations: ['26-5=21', '54-37=17'] Exploring Operation: 21+17=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 3, 78, 65, 97 ]
20
[ "3*65=195", "78+97=175", "195-175=20" ]
Current State: 20:[3, 78, 65, 97], Operations: [] Exploring Operation: 3*65=195, Resulting Numbers: [78, 97, 195] Generated Node #2: [78, 97, 195] from Operation: 3*65=195 Current State: 20:[78, 97, 195], Operations: ['3*65=195'] Exploring Operation: 78+97=175, Resulting Numbers: [195, 175] Generated Node #3: [195, 175] from Operation: 78+97=175 Current State: 20:[195, 175], Operations: ['3*65=195', '78+97=175'] Exploring Operation: 195-175=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 32, 16, 2, 13 ]
53
[ "32+13=45", "16/2=8", "45+8=53" ]
Current State: 53:[32, 16, 2, 13], Operations: [] Exploring Operation: 32+13=45, Resulting Numbers: [16, 2, 45] Generated Node #2: [16, 2, 45] from Operation: 32+13=45 Current State: 53:[16, 2, 45], Operations: ['32+13=45'] Exploring Operation: 16/2=8, Resulting Numbers: [45, 8] Generated Node #3: [45, 8] from Operation: 16/2=8 Current State: 53:[45, 8], Operations: ['32+13=45', '16/2=8'] Exploring Operation: 45+8=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 32, 37, 40, 15 ]
23
[ "37-32=5", "40/5=8", "15+8=23" ]
Current State: 23:[32, 37, 40, 15], Operations: [] Exploring Operation: 37-32=5, Resulting Numbers: [40, 15, 5] Generated Node #2: [40, 15, 5] from Operation: 37-32=5 Current State: 23:[40, 15, 5], Operations: ['37-32=5'] Exploring Operation: 40/5=8, Resulting Numbers: [15, 8] Generated Node #3: [15, 8] from Operation: 40/5=8 Current State: 23:[15, 8], Operations: ['37-32=5', '40/5=8'] Exploring Operation: 15+8=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 33, 2, 40, 9 ]
61
[ "40-33=7", "9*7=63", "63-2=61" ]
Current State: 61:[33, 2, 40, 9], Operations: [] Exploring Operation: 40-33=7, Resulting Numbers: [2, 9, 7] Generated Node #2: [2, 9, 7] from Operation: 40-33=7 Current State: 61:[2, 9, 7], Operations: ['40-33=7'] Exploring Operation: 9*7=63, Resulting Numbers: [2, 63] Generated Node #3: [2, 63] from Operation: 9*7=63 Current State: 61:[2, 63], Operations: ['40-33=7', '9*7=63'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 90, 56, 22, 61 ]
59
[ "90+22=112", "112/56=2", "61-2=59" ]
Current State: 59:[90, 56, 22, 61], Operations: [] Exploring Operation: 90+22=112, Resulting Numbers: [56, 61, 112] Generated Node #2: [56, 61, 112] from Operation: 90+22=112 Current State: 59:[56, 61, 112], Operations: ['90+22=112'] Exploring Operation: 112/56=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 112/56=2 Current State: 59:[61, 2], Operations: ['90+22=112', '112/56=2'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 67, 96, 44, 52 ]
21
[ "96-67=29", "52-44=8", "29-8=21" ]
Current State: 21:[67, 96, 44, 52], Operations: [] Exploring Operation: 96-67=29, Resulting Numbers: [44, 52, 29] Generated Node #2: [44, 52, 29] from Operation: 96-67=29 Current State: 21:[44, 52, 29], Operations: ['96-67=29'] Exploring Operation: 52-44=8, Resulting Numbers: [29, 8] Generated Node #3: [29, 8] from Operation: 52-44=8 Current State: 21:[29, 8], Operations: ['96-67=29', '52-44=8'] Exploring Operation: 29-8=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 77, 68, 31, 90 ]
68
[ "77-68=9", "90-31=59", "9+59=68" ]
Current State: 68:[77, 68, 31, 90], Operations: [] Exploring Operation: 77-68=9, Resulting Numbers: [31, 90, 9] Generated Node #2: [31, 90, 9] from Operation: 77-68=9 Current State: 68:[31, 90, 9], Operations: ['77-68=9'] Exploring Operation: 90-31=59, Resulting Numbers: [9, 59] Generated Node #3: [9, 59] from Operation: 90-31=59 Current State: 68:[9, 59], Operations: ['77-68=9', '90-31=59'] Exploring Operation: 9+59=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 41, 21, 21, 72 ]
71
[ "41-21=20", "72-21=51", "20+51=71" ]
Current State: 71:[41, 21, 21, 72], Operations: [] Exploring Operation: 41-21=20, Resulting Numbers: [72, 20] Generated Node #2: [72, 20] from Operation: 41-21=20 Current State: 71:[72, 20], Operations: ['41-21=20'] Exploring Operation: 72-21=51, Resulting Numbers: [20, 51] Generated Node #3: [20, 51] from Operation: 72-21=51 Current State: 71:[20, 51], Operations: ['41-21=20', '72-21=51'] Exploring Operation: 20+51=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 33, 71, 75, 54 ]
69
[ "33+75=108", "108/54=2", "71-2=69" ]
Current State: 69:[33, 71, 75, 54], Operations: [] Exploring Operation: 33+75=108, Resulting Numbers: [71, 54, 108] Generated Node #2: [71, 54, 108] from Operation: 33+75=108 Current State: 69:[71, 54, 108], Operations: ['33+75=108'] Exploring Operation: 108/54=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 108/54=2 Current State: 69:[71, 2], Operations: ['33+75=108', '108/54=2'] Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 19, 83, 2, 57 ]
69
[ "19+57=76", "2*76=152", "152-83=69" ]
Current State: 69:[19, 83, 2, 57], Operations: [] Exploring Operation: 19+57=76, Resulting Numbers: [83, 2, 76] Generated Node #2: [83, 2, 76] from Operation: 19+57=76 Current State: 69:[83, 2, 76], Operations: ['19+57=76'] Exploring Operation: 2*76=152, Resulting Numbers: [83, 152] Generated Node #3: [83, 152] from Operation: 2*76=152 Current State: 69:[83, 152], Operations: ['19+57=76', '2*76=152'] Exploring Operation: 152-83=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 87, 58, 71, 68 ]
29
[ "71-68=3", "87/3=29", "58-29=29" ]
Current State: 29:[87, 58, 71, 68], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [87, 58, 3] Generated Node #2: [87, 58, 3] from Operation: 71-68=3 Current State: 29:[87, 58, 3], Operations: ['71-68=3'] Exploring Operation: 87/3=29, Resulting Numbers: [58, 29] Generated Node #3: [58, 29] from Operation: 87/3=29 Current State: 29:[58, 29], Operations: ['71-68=3', '87/3=29'] Exploring Operation: 58-29=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 83, 51, 66, 33 ]
99
[ "83-66=17", "51*33=1683", "1683/17=99" ]
Current State: 99:[83, 51, 66, 33], Operations: [] Exploring Operation: 83-66=17, Resulting Numbers: [51, 33, 17] Generated Node #2: [51, 33, 17] from Operation: 83-66=17 Current State: 99:[51, 33, 17], Operations: ['83-66=17'] Exploring Operation: 51*33=1683, Resulting Numbers: [17, 1683] Generated Node #3: [17, 1683] from Operation: 51*33=1683 Current State: 99:[17, 1683], Operations: ['83-66=17', '51*33=1683'] Exploring Operation: 1683/17=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 46, 3, 67, 4 ]
96
[ "46-3=43", "67-43=24", "4*24=96" ]
Current State: 96:[46, 3, 67, 4], Operations: [] Exploring Operation: 46-3=43, Resulting Numbers: [67, 4, 43] Generated Node #2: [67, 4, 43] from Operation: 46-3=43 Current State: 96:[67, 4, 43], Operations: ['46-3=43'] Exploring Operation: 67-43=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 67-43=24 Current State: 96:[4, 24], Operations: ['46-3=43', '67-43=24'] Exploring Operation: 4*24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 15, 4, 61, 25 ]
55
[ "15+4=19", "61-25=36", "19+36=55" ]
Current State: 55:[15, 4, 61, 25], Operations: [] Exploring Operation: 15+4=19, Resulting Numbers: [61, 25, 19] Generated Node #2: [61, 25, 19] from Operation: 15+4=19 Current State: 55:[61, 25, 19], Operations: ['15+4=19'] Exploring Operation: 61-25=36, Resulting Numbers: [19, 36] Generated Node #3: [19, 36] from Operation: 61-25=36 Current State: 55:[19, 36], Operations: ['15+4=19', '61-25=36'] Exploring Operation: 19+36=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 34, 3, 27, 32 ]
49
[ "34+32=66", "66/3=22", "27+22=49" ]
Current State: 49:[34, 3, 27, 32], Operations: [] Exploring Operation: 34+32=66, Resulting Numbers: [3, 27, 66] Generated Node #2: [3, 27, 66] from Operation: 34+32=66 Current State: 49:[3, 27, 66], Operations: ['34+32=66'] Exploring Operation: 66/3=22, Resulting Numbers: [27, 22] Generated Node #3: [27, 22] from Operation: 66/3=22 Current State: 49:[27, 22], Operations: ['34+32=66', '66/3=22'] Exploring Operation: 27+22=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 25, 72, 19, 82 ]
94
[ "25-19=6", "72/6=12", "82+12=94" ]
Current State: 94:[25, 72, 19, 82], Operations: [] Exploring Operation: 25-19=6, Resulting Numbers: [72, 82, 6] Generated Node #2: [72, 82, 6] from Operation: 25-19=6 Current State: 94:[72, 82, 6], Operations: ['25-19=6'] Exploring Operation: 72/6=12, Resulting Numbers: [82, 12] Generated Node #3: [82, 12] from Operation: 72/6=12 Current State: 94:[82, 12], Operations: ['25-19=6', '72/6=12'] Exploring Operation: 82+12=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 13, 84, 18, 67 ]
14
[ "84-13=71", "18+67=85", "85-71=14" ]
Current State: 14:[13, 84, 18, 67], Operations: [] Exploring Operation: 84-13=71, Resulting Numbers: [18, 67, 71] Generated Node #2: [18, 67, 71] from Operation: 84-13=71 Current State: 14:[18, 67, 71], Operations: ['84-13=71'] Exploring Operation: 18+67=85, Resulting Numbers: [71, 85] Generated Node #3: [71, 85] from Operation: 18+67=85 Current State: 14:[71, 85], Operations: ['84-13=71', '18+67=85'] Exploring Operation: 85-71=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 45, 3, 21, 98 ]
77
[ "45-3=42", "21+98=119", "119-42=77" ]
Current State: 77:[45, 3, 21, 98], Operations: [] Exploring Operation: 45-3=42, Resulting Numbers: [21, 98, 42] Generated Node #2: [21, 98, 42] from Operation: 45-3=42 Current State: 77:[21, 98, 42], Operations: ['45-3=42'] Exploring Operation: 21+98=119, Resulting Numbers: [42, 119] Generated Node #3: [42, 119] from Operation: 21+98=119 Current State: 77:[42, 119], Operations: ['45-3=42', '21+98=119'] Exploring Operation: 119-42=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 12, 36, 6, 96 ]
99
[ "36/12=3", "6+96=102", "102-3=99" ]
Current State: 99:[12, 36, 6, 96], Operations: [] Exploring Operation: 36/12=3, Resulting Numbers: [6, 96, 3] Generated Node #2: [6, 96, 3] from Operation: 36/12=3 Current State: 99:[6, 96, 3], Operations: ['36/12=3'] Exploring Operation: 6+96=102, Resulting Numbers: [3, 102] Generated Node #3: [3, 102] from Operation: 6+96=102 Current State: 99:[3, 102], Operations: ['36/12=3', '6+96=102'] Exploring Operation: 102-3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 30, 22, 36, 54 ]
33
[ "54-30=24", "22*36=792", "792/24=33" ]
Current State: 33:[30, 22, 36, 54], Operations: [] Exploring Operation: 54-30=24, Resulting Numbers: [22, 36, 24] Generated Node #2: [22, 36, 24] from Operation: 54-30=24 Current State: 33:[22, 36, 24], Operations: ['54-30=24'] Exploring Operation: 22*36=792, Resulting Numbers: [24, 792] Generated Node #3: [24, 792] from Operation: 22*36=792 Current State: 33:[24, 792], Operations: ['54-30=24', '22*36=792'] Exploring Operation: 792/24=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 50, 60, 78, 4 ]
22
[ "60-50=10", "78+10=88", "88/4=22" ]
Current State: 22:[50, 60, 78, 4], Operations: [] Exploring Operation: 60-50=10, Resulting Numbers: [78, 4, 10] Generated Node #2: [78, 4, 10] from Operation: 60-50=10 Current State: 22:[78, 4, 10], Operations: ['60-50=10'] Exploring Operation: 78+10=88, Resulting Numbers: [4, 88] Generated Node #3: [4, 88] from Operation: 78+10=88 Current State: 22:[4, 88], Operations: ['60-50=10', '78+10=88'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 10, 38, 82, 64 ]
66
[ "10+38=48", "82-64=18", "48+18=66" ]
Current State: 66:[10, 38, 82, 64], Operations: [] Exploring Operation: 10+38=48, Resulting Numbers: [82, 64, 48] Generated Node #2: [82, 64, 48] from Operation: 10+38=48 Current State: 66:[82, 64, 48], Operations: ['10+38=48'] Exploring Operation: 82-64=18, Resulting Numbers: [48, 18] Generated Node #3: [48, 18] from Operation: 82-64=18 Current State: 66:[48, 18], Operations: ['10+38=48', '82-64=18'] Exploring Operation: 48+18=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 66, 4, 72, 68 ]
38
[ "68-66=2", "4+72=76", "76/2=38" ]
Current State: 38:[66, 4, 72, 68], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [4, 72, 2] Generated Node #2: [4, 72, 2] from Operation: 68-66=2 Current State: 38:[4, 72, 2], Operations: ['68-66=2'] Exploring Operation: 4+72=76, Resulting Numbers: [2, 76] Generated Node #3: [2, 76] from Operation: 4+72=76 Current State: 38:[2, 76], Operations: ['68-66=2', '4+72=76'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 59, 73, 56, 58 ]
28
[ "73-59=14", "58-56=2", "14*2=28" ]
Current State: 28:[59, 73, 56, 58], Operations: [] Exploring Operation: 73-59=14, Resulting Numbers: [56, 58, 14] Generated Node #2: [56, 58, 14] from Operation: 73-59=14 Current State: 28:[56, 58, 14], Operations: ['73-59=14'] Exploring Operation: 58-56=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 58-56=2 Current State: 28:[14, 2], Operations: ['73-59=14', '58-56=2'] Exploring Operation: 14*2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 89, 30, 99, 79 ]
59
[ "89+30=119", "99+79=178", "178-119=59" ]
Current State: 59:[89, 30, 99, 79], Operations: [] Exploring Operation: 89+30=119, Resulting Numbers: [99, 79, 119] Generated Node #2: [99, 79, 119] from Operation: 89+30=119 Current State: 59:[99, 79, 119], Operations: ['89+30=119'] Exploring Operation: 99+79=178, Resulting Numbers: [119, 178] Generated Node #3: [119, 178] from Operation: 99+79=178 Current State: 59:[119, 178], Operations: ['89+30=119', '99+79=178'] Exploring Operation: 178-119=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 49, 23, 66, 8 ]
75
[ "49+23=72", "72/8=9", "66+9=75" ]
Current State: 75:[49, 23, 66, 8], Operations: [] Exploring Operation: 49+23=72, Resulting Numbers: [66, 8, 72] Generated Node #2: [66, 8, 72] from Operation: 49+23=72 Current State: 75:[66, 8, 72], Operations: ['49+23=72'] Exploring Operation: 72/8=9, Resulting Numbers: [66, 9] Generated Node #3: [66, 9] from Operation: 72/8=9 Current State: 75:[66, 9], Operations: ['49+23=72', '72/8=9'] Exploring Operation: 66+9=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 41, 5, 62, 45 ]
12
[ "62-41=21", "45/5=9", "21-9=12" ]
Current State: 12:[41, 5, 62, 45], Operations: [] Exploring Operation: 62-41=21, Resulting Numbers: [5, 45, 21] Generated Node #2: [5, 45, 21] from Operation: 62-41=21 Current State: 12:[5, 45, 21], Operations: ['62-41=21'] Exploring Operation: 45/5=9, Resulting Numbers: [21, 9] Generated Node #3: [21, 9] from Operation: 45/5=9 Current State: 12:[21, 9], Operations: ['62-41=21', '45/5=9'] Exploring Operation: 21-9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 26, 48, 66, 76 ]
84
[ "26+48=74", "76-66=10", "74+10=84" ]
Current State: 84:[26, 48, 66, 76], Operations: [] Exploring Operation: 26+48=74, Resulting Numbers: [66, 76, 74] Generated Node #2: [66, 76, 74] from Operation: 26+48=74 Current State: 84:[66, 76, 74], Operations: ['26+48=74'] Exploring Operation: 76-66=10, Resulting Numbers: [74, 10] Generated Node #3: [74, 10] from Operation: 76-66=10 Current State: 84:[74, 10], Operations: ['26+48=74', '76-66=10'] Exploring Operation: 74+10=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 6, 11, 29, 62 ]
74
[ "6+11=17", "29+62=91", "91-17=74" ]
Current State: 74:[6, 11, 29, 62], Operations: [] Exploring Operation: 6+11=17, Resulting Numbers: [29, 62, 17] Generated Node #2: [29, 62, 17] from Operation: 6+11=17 Current State: 74:[29, 62, 17], Operations: ['6+11=17'] Exploring Operation: 29+62=91, Resulting Numbers: [17, 91] Generated Node #3: [17, 91] from Operation: 29+62=91 Current State: 74:[17, 91], Operations: ['6+11=17', '29+62=91'] Exploring Operation: 91-17=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 40, 64, 64, 16 ]
50
[ "64+16=80", "40*80=3200", "3200/64=50" ]
Current State: 50:[40, 64, 64, 16], Operations: [] Exploring Operation: 64+16=80, Resulting Numbers: [40, 80] Generated Node #2: [40, 80] from Operation: 64+16=80 Current State: 50:[40, 80], Operations: ['64+16=80'] Exploring Operation: 40*80=3200, Resulting Numbers: [3200] 3200,50 equal: Goal Reached Exploring Operation: 3200/64=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 74, 9, 29, 88 ]
11
[ "74+88=162", "162/9=18", "29-18=11" ]
Current State: 11:[74, 9, 29, 88], Operations: [] Exploring Operation: 74+88=162, Resulting Numbers: [9, 29, 162] Generated Node #2: [9, 29, 162] from Operation: 74+88=162 Current State: 11:[9, 29, 162], Operations: ['74+88=162'] Exploring Operation: 162/9=18, Resulting Numbers: [29, 18] Generated Node #3: [29, 18] from Operation: 162/9=18 Current State: 11:[29, 18], Operations: ['74+88=162', '162/9=18'] Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 42, 52, 10, 26 ]
26
[ "52-42=10", "10+26=36", "36-10=26" ]
Current State: 26:[42, 52, 10, 26], Operations: [] Exploring Operation: 52-42=10, Resulting Numbers: [10, 26, 10] Generated Node #2: [10, 26, 10] from Operation: 52-42=10 Current State: 26:[10, 26, 10], Operations: ['52-42=10'] Exploring Operation: 10+26=36, Resulting Numbers: [36] 36,26 equal: Goal Reached Exploring Operation: 36-10=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 75, 76, 37, 88 ]
90
[ "75-37=38", "76/38=2", "88+2=90" ]
Current State: 90:[75, 76, 37, 88], Operations: [] Exploring Operation: 75-37=38, Resulting Numbers: [76, 88, 38] Generated Node #2: [76, 88, 38] from Operation: 75-37=38 Current State: 90:[76, 88, 38], Operations: ['75-37=38'] Exploring Operation: 76/38=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 76/38=2 Current State: 90:[88, 2], Operations: ['75-37=38', '76/38=2'] Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 6, 30, 28, 68 ]
56
[ "30-28=2", "6*2=12", "68-12=56" ]
Current State: 56:[6, 30, 28, 68], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [6, 68, 2] Generated Node #2: [6, 68, 2] from Operation: 30-28=2 Current State: 56:[6, 68, 2], Operations: ['30-28=2'] Exploring Operation: 6*2=12, Resulting Numbers: [68, 12] Generated Node #3: [68, 12] from Operation: 6*2=12 Current State: 56:[68, 12], Operations: ['30-28=2', '6*2=12'] Exploring Operation: 68-12=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 9, 64, 90, 30 ]
76
[ "9+64=73", "90/30=3", "73+3=76" ]
Current State: 76:[9, 64, 90, 30], Operations: [] Exploring Operation: 9+64=73, Resulting Numbers: [90, 30, 73] Generated Node #2: [90, 30, 73] from Operation: 9+64=73 Current State: 76:[90, 30, 73], Operations: ['9+64=73'] Exploring Operation: 90/30=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 90/30=3 Current State: 76:[73, 3], Operations: ['9+64=73', '90/30=3'] Exploring Operation: 73+3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 31, 26, 49, 79 ]
25
[ "31-26=5", "79-49=30", "30-5=25" ]
Current State: 25:[31, 26, 49, 79], Operations: [] Exploring Operation: 31-26=5, Resulting Numbers: [49, 79, 5] Generated Node #2: [49, 79, 5] from Operation: 31-26=5 Current State: 25:[49, 79, 5], Operations: ['31-26=5'] Exploring Operation: 79-49=30, Resulting Numbers: [5, 30] Generated Node #3: [5, 30] from Operation: 79-49=30 Current State: 25:[5, 30], Operations: ['31-26=5', '79-49=30'] Exploring Operation: 30-5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 33, 93, 11, 8 ]
88
[ "33/11=3", "93-8=85", "3+85=88" ]
Current State: 88:[33, 93, 11, 8], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [93, 8, 3] Generated Node #2: [93, 8, 3] from Operation: 33/11=3 Current State: 88:[93, 8, 3], Operations: ['33/11=3'] Exploring Operation: 93-8=85, Resulting Numbers: [3, 85] Generated Node #3: [3, 85] from Operation: 93-8=85 Current State: 88:[3, 85], Operations: ['33/11=3', '93-8=85'] Exploring Operation: 3+85=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 45, 18, 6, 70 ]
91
[ "45-18=27", "70-6=64", "27+64=91" ]
Current State: 91:[45, 18, 6, 70], Operations: [] Exploring Operation: 45-18=27, Resulting Numbers: [6, 70, 27] Generated Node #2: [6, 70, 27] from Operation: 45-18=27 Current State: 91:[6, 70, 27], Operations: ['45-18=27'] Exploring Operation: 70-6=64, Resulting Numbers: [27, 64] Generated Node #3: [27, 64] from Operation: 70-6=64 Current State: 91:[27, 64], Operations: ['45-18=27', '70-6=64'] Exploring Operation: 27+64=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 80, 15, 93, 55 ]
83
[ "80-15=65", "93+55=148", "148-65=83" ]
Current State: 83:[80, 15, 93, 55], Operations: [] Exploring Operation: 80-15=65, Resulting Numbers: [93, 55, 65] Generated Node #2: [93, 55, 65] from Operation: 80-15=65 Current State: 83:[93, 55, 65], Operations: ['80-15=65'] Exploring Operation: 93+55=148, Resulting Numbers: [65, 148] Generated Node #3: [65, 148] from Operation: 93+55=148 Current State: 83:[65, 148], Operations: ['80-15=65', '93+55=148'] Exploring Operation: 148-65=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 43, 63, 52 ]
84
[ "2*52=104", "63-43=20", "104-20=84" ]
Current State: 84:[2, 43, 63, 52], Operations: [] Exploring Operation: 2*52=104, Resulting Numbers: [43, 63, 104] Generated Node #2: [43, 63, 104] from Operation: 2*52=104 Current State: 84:[43, 63, 104], Operations: ['2*52=104'] Exploring Operation: 63-43=20, Resulting Numbers: [104, 20] Generated Node #3: [104, 20] from Operation: 63-43=20 Current State: 84:[104, 20], Operations: ['2*52=104', '63-43=20'] Exploring Operation: 104-20=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 55, 45, 63, 60 ]
90
[ "60-55=5", "63-45=18", "5*18=90" ]
Current State: 90:[55, 45, 63, 60], Operations: [] Exploring Operation: 60-55=5, Resulting Numbers: [45, 63, 5] Generated Node #2: [45, 63, 5] from Operation: 60-55=5 Current State: 90:[45, 63, 5], Operations: ['60-55=5'] Exploring Operation: 63-45=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 63-45=18 Current State: 90:[5, 18], Operations: ['60-55=5', '63-45=18'] Exploring Operation: 5*18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 27, 78, 92 ]
65
[ "24+27=51", "92-78=14", "51+14=65" ]
Current State: 65:[24, 27, 78, 92], Operations: [] Exploring Operation: 24+27=51, Resulting Numbers: [78, 92, 51] Generated Node #2: [78, 92, 51] from Operation: 24+27=51 Current State: 65:[78, 92, 51], Operations: ['24+27=51'] Exploring Operation: 92-78=14, Resulting Numbers: [51, 14] Generated Node #3: [51, 14] from Operation: 92-78=14 Current State: 65:[51, 14], Operations: ['24+27=51', '92-78=14'] Exploring Operation: 51+14=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 53, 28, 49, 20 ]
27
[ "53-49=4", "28/4=7", "20+7=27" ]
Current State: 27:[53, 28, 49, 20], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [28, 20, 4] Generated Node #2: [28, 20, 4] from Operation: 53-49=4 Current State: 27:[28, 20, 4], Operations: ['53-49=4'] Exploring Operation: 28/4=7, Resulting Numbers: [20, 7] Generated Node #3: [20, 7] from Operation: 28/4=7 Current State: 27:[20, 7], Operations: ['53-49=4', '28/4=7'] Exploring Operation: 20+7=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 64, 48, 80, 43 ]
38
[ "64-48=16", "80/16=5", "43-5=38" ]
Current State: 38:[64, 48, 80, 43], Operations: [] Exploring Operation: 64-48=16, Resulting Numbers: [80, 43, 16] Generated Node #2: [80, 43, 16] from Operation: 64-48=16 Current State: 38:[80, 43, 16], Operations: ['64-48=16'] Exploring Operation: 80/16=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 80/16=5 Current State: 38:[43, 5], Operations: ['64-48=16', '80/16=5'] Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 34, 63, 38, 51 ]
37
[ "63+51=114", "114/38=3", "34+3=37" ]
Current State: 37:[34, 63, 38, 51], Operations: [] Exploring Operation: 63+51=114, Resulting Numbers: [34, 38, 114] Generated Node #2: [34, 38, 114] from Operation: 63+51=114 Current State: 37:[34, 38, 114], Operations: ['63+51=114'] Exploring Operation: 114/38=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 114/38=3 Current State: 37:[34, 3], Operations: ['63+51=114', '114/38=3'] Exploring Operation: 34+3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 41, 98, 30, 76 ]
84
[ "76-41=35", "98*30=2940", "2940/35=84" ]
Current State: 84:[41, 98, 30, 76], Operations: [] Exploring Operation: 76-41=35, Resulting Numbers: [98, 30, 35] Generated Node #2: [98, 30, 35] from Operation: 76-41=35 Current State: 84:[98, 30, 35], Operations: ['76-41=35'] Exploring Operation: 98*30=2940, Resulting Numbers: [35, 2940] Generated Node #3: [35, 2940] from Operation: 98*30=2940 Current State: 84:[35, 2940], Operations: ['76-41=35', '98*30=2940'] Exploring Operation: 2940/35=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 80, 53, 63, 83 ]
32
[ "83-80=3", "63/3=21", "53-21=32" ]
Current State: 32:[80, 53, 63, 83], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [53, 63, 3] Generated Node #2: [53, 63, 3] from Operation: 83-80=3 Current State: 32:[53, 63, 3], Operations: ['83-80=3'] Exploring Operation: 63/3=21, Resulting Numbers: [53, 21] Generated Node #3: [53, 21] from Operation: 63/3=21 Current State: 32:[53, 21], Operations: ['83-80=3', '63/3=21'] Exploring Operation: 53-21=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 9, 18, 71, 16 ]
23
[ "9+71=80", "80/16=5", "18+5=23" ]
Current State: 23:[9, 18, 71, 16], Operations: [] Exploring Operation: 9+71=80, Resulting Numbers: [18, 16, 80] Generated Node #2: [18, 16, 80] from Operation: 9+71=80 Current State: 23:[18, 16, 80], Operations: ['9+71=80'] Exploring Operation: 80/16=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 80/16=5 Current State: 23:[18, 5], Operations: ['9+71=80', '80/16=5'] Exploring Operation: 18+5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 3, 11, 75, 11 ]
24
[ "75/3=25", "11/11=1", "25-1=24" ]
Current State: 24:[3, 11, 75, 11], Operations: [] Exploring Operation: 75/3=25, Resulting Numbers: [11, 11, 25] Generated Node #2: [11, 11, 25] from Operation: 75/3=25 Current State: 24:[11, 11, 25], Operations: ['75/3=25'] Exploring Operation: 11/11=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 11/11=1 Current State: 24:[25, 1], Operations: ['75/3=25', '11/11=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 11, 98, 22, 77 ]
91
[ "22-11=11", "77/11=7", "98-7=91" ]
Current State: 91:[11, 98, 22, 77], Operations: [] Exploring Operation: 22-11=11, Resulting Numbers: [98, 77, 11] Generated Node #2: [98, 77, 11] from Operation: 22-11=11 Current State: 91:[98, 77, 11], Operations: ['22-11=11'] Exploring Operation: 77/11=7, Resulting Numbers: [98, 7] Generated Node #3: [98, 7] from Operation: 77/11=7 Current State: 91:[98, 7], Operations: ['22-11=11', '77/11=7'] Exploring Operation: 98-7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 95, 90, 47, 74 ]
32
[ "95-90=5", "74-47=27", "5+27=32" ]
Current State: 32:[95, 90, 47, 74], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [47, 74, 5] Generated Node #2: [47, 74, 5] from Operation: 95-90=5 Current State: 32:[47, 74, 5], Operations: ['95-90=5'] Exploring Operation: 74-47=27, Resulting Numbers: [5, 27] Generated Node #3: [5, 27] from Operation: 74-47=27 Current State: 32:[5, 27], Operations: ['95-90=5', '74-47=27'] Exploring Operation: 5+27=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 48, 48, 18, 62 ]
81
[ "48/48=1", "18+62=80", "1+80=81" ]
Current State: 81:[48, 48, 18, 62], Operations: [] Exploring Operation: 48/48=1, Resulting Numbers: [18, 62, 1] Generated Node #2: [18, 62, 1] from Operation: 48/48=1 Current State: 81:[18, 62, 1], Operations: ['48/48=1'] Exploring Operation: 18+62=80, Resulting Numbers: [1, 80] Generated Node #3: [1, 80] from Operation: 18+62=80 Current State: 81:[1, 80], Operations: ['48/48=1', '18+62=80'] Exploring Operation: 1+80=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 89, 32, 95, 58 ]
54
[ "89*58=5162", "5162-32=5130", "5130/95=54" ]
Current State: 54:[89, 32, 95, 58], Operations: [] Exploring Operation: 89*58=5162, Resulting Numbers: [32, 95, 5162] Generated Node #2: [32, 95, 5162] from Operation: 89*58=5162 Current State: 54:[32, 95, 5162], Operations: ['89*58=5162'] Exploring Operation: 5162-32=5130, Resulting Numbers: [95, 5130] Generated Node #3: [95, 5130] from Operation: 5162-32=5130 Current State: 54:[95, 5130], Operations: ['89*58=5162', '5162-32=5130'] Exploring Operation: 5130/95=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 25, 10, 27, 55 ]
63
[ "25+10=35", "55-27=28", "35+28=63" ]
Current State: 63:[25, 10, 27, 55], Operations: [] Exploring Operation: 25+10=35, Resulting Numbers: [27, 55, 35] Generated Node #2: [27, 55, 35] from Operation: 25+10=35 Current State: 63:[27, 55, 35], Operations: ['25+10=35'] Exploring Operation: 55-27=28, Resulting Numbers: [35, 28] Generated Node #3: [35, 28] from Operation: 55-27=28 Current State: 63:[35, 28], Operations: ['25+10=35', '55-27=28'] Exploring Operation: 35+28=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 16, 6, 75, 49 ]
28
[ "16*6=96", "75+49=124", "124-96=28" ]
Current State: 28:[16, 6, 75, 49], Operations: [] Exploring Operation: 16*6=96, Resulting Numbers: [75, 49, 96] Generated Node #2: [75, 49, 96] from Operation: 16*6=96 Current State: 28:[75, 49, 96], Operations: ['16*6=96'] Exploring Operation: 75+49=124, Resulting Numbers: [96, 124] Generated Node #3: [96, 124] from Operation: 75+49=124 Current State: 28:[96, 124], Operations: ['16*6=96', '75+49=124'] Exploring Operation: 124-96=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 71, 60, 90, 65 ]
45
[ "71-65=6", "90/6=15", "60-15=45" ]
Current State: 45:[71, 60, 90, 65], Operations: [] Exploring Operation: 71-65=6, Resulting Numbers: [60, 90, 6] Generated Node #2: [60, 90, 6] from Operation: 71-65=6 Current State: 45:[60, 90, 6], Operations: ['71-65=6'] Exploring Operation: 90/6=15, Resulting Numbers: [60, 15] Generated Node #3: [60, 15] from Operation: 90/6=15 Current State: 45:[60, 15], Operations: ['71-65=6', '90/6=15'] Exploring Operation: 60-15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 60, 62, 59, 17 ]
74
[ "62-60=2", "59+17=76", "76-2=74" ]
Current State: 74:[60, 62, 59, 17], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [59, 17, 2] Generated Node #2: [59, 17, 2] from Operation: 62-60=2 Current State: 74:[59, 17, 2], Operations: ['62-60=2'] Exploring Operation: 59+17=76, Resulting Numbers: [2, 76] Generated Node #3: [2, 76] from Operation: 59+17=76 Current State: 74:[2, 76], Operations: ['62-60=2', '59+17=76'] Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 69, 6, 12, 30 ]
86
[ "69+12=81", "30/6=5", "81+5=86" ]
Current State: 86:[69, 6, 12, 30], Operations: [] Exploring Operation: 69+12=81, Resulting Numbers: [6, 30, 81] Generated Node #2: [6, 30, 81] from Operation: 69+12=81 Current State: 86:[6, 30, 81], Operations: ['69+12=81'] Exploring Operation: 30/6=5, Resulting Numbers: [81, 5] Generated Node #3: [81, 5] from Operation: 30/6=5 Current State: 86:[81, 5], Operations: ['69+12=81', '30/6=5'] Exploring Operation: 81+5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 89, 78, 19, 95 ]
55
[ "89-78=11", "95/19=5", "11*5=55" ]
Current State: 55:[89, 78, 19, 95], Operations: [] Exploring Operation: 89-78=11, Resulting Numbers: [19, 95, 11] Generated Node #2: [19, 95, 11] from Operation: 89-78=11 Current State: 55:[19, 95, 11], Operations: ['89-78=11'] Exploring Operation: 95/19=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 95/19=5 Current State: 55:[11, 5], Operations: ['89-78=11', '95/19=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 52, 47, 85, 27 ]
50
[ "52-47=5", "27*5=135", "135-85=50" ]
Current State: 50:[52, 47, 85, 27], Operations: [] Exploring Operation: 52-47=5, Resulting Numbers: [85, 27, 5] Generated Node #2: [85, 27, 5] from Operation: 52-47=5 Current State: 50:[85, 27, 5], Operations: ['52-47=5'] Exploring Operation: 27*5=135, Resulting Numbers: [85, 135] Generated Node #3: [85, 135] from Operation: 27*5=135 Current State: 50:[85, 135], Operations: ['52-47=5', '27*5=135'] Exploring Operation: 135-85=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 7, 54, 73, 53 ]
27
[ "54-7=47", "73-53=20", "47-20=27" ]
Current State: 27:[7, 54, 73, 53], Operations: [] Exploring Operation: 54-7=47, Resulting Numbers: [73, 53, 47] Generated Node #2: [73, 53, 47] from Operation: 54-7=47 Current State: 27:[73, 53, 47], Operations: ['54-7=47'] Exploring Operation: 73-53=20, Resulting Numbers: [47, 20] Generated Node #3: [47, 20] from Operation: 73-53=20 Current State: 27:[47, 20], Operations: ['54-7=47', '73-53=20'] Exploring Operation: 47-20=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 33, 52, 95, 56 ]
31
[ "52*56=2912", "33+2912=2945", "2945/95=31" ]
Current State: 31:[33, 52, 95, 56], Operations: [] Exploring Operation: 52*56=2912, Resulting Numbers: [33, 95, 2912] Generated Node #2: [33, 95, 2912] from Operation: 52*56=2912 Current State: 31:[33, 95, 2912], Operations: ['52*56=2912'] Exploring Operation: 33+2912=2945, Resulting Numbers: [95, 2945] Generated Node #3: [95, 2945] from Operation: 33+2912=2945 Current State: 31:[95, 2945], Operations: ['52*56=2912', '33+2912=2945'] Exploring Operation: 2945/95=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 60, 86, 90, 82 ]
37
[ "90*82=7380", "7380/60=123", "123-86=37" ]
Current State: 37:[60, 86, 90, 82], Operations: [] Exploring Operation: 90*82=7380, Resulting Numbers: [60, 86, 7380] Generated Node #2: [60, 86, 7380] from Operation: 90*82=7380 Current State: 37:[60, 86, 7380], Operations: ['90*82=7380'] Exploring Operation: 7380/60=123, Resulting Numbers: [86, 123] Generated Node #3: [86, 123] from Operation: 7380/60=123 Current State: 37:[86, 123], Operations: ['90*82=7380', '7380/60=123'] Exploring Operation: 123-86=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 57, 90, 76, 5 ]
66
[ "57+90=147", "76+5=81", "147-81=66" ]
Current State: 66:[57, 90, 76, 5], Operations: [] Exploring Operation: 57+90=147, Resulting Numbers: [76, 5, 147] Generated Node #2: [76, 5, 147] from Operation: 57+90=147 Current State: 66:[76, 5, 147], Operations: ['57+90=147'] Exploring Operation: 76+5=81, Resulting Numbers: [147, 81] Generated Node #3: [147, 81] from Operation: 76+5=81 Current State: 66:[147, 81], Operations: ['57+90=147', '76+5=81'] Exploring Operation: 147-81=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 73, 39, 88, 70 ]
94
[ "73+39=112", "88-70=18", "112-18=94" ]
Current State: 94:[73, 39, 88, 70], Operations: [] Exploring Operation: 73+39=112, Resulting Numbers: [88, 70, 112] Generated Node #2: [88, 70, 112] from Operation: 73+39=112 Current State: 94:[88, 70, 112], Operations: ['73+39=112'] Exploring Operation: 88-70=18, Resulting Numbers: [112, 18] Generated Node #3: [112, 18] from Operation: 88-70=18 Current State: 94:[112, 18], Operations: ['73+39=112', '88-70=18'] Exploring Operation: 112-18=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 70, 58, 41, 66 ]
95
[ "70-58=12", "41+66=107", "107-12=95" ]
Current State: 95:[70, 58, 41, 66], Operations: [] Exploring Operation: 70-58=12, Resulting Numbers: [41, 66, 12] Generated Node #2: [41, 66, 12] from Operation: 70-58=12 Current State: 95:[41, 66, 12], Operations: ['70-58=12'] Exploring Operation: 41+66=107, Resulting Numbers: [12, 107] Generated Node #3: [12, 107] from Operation: 41+66=107 Current State: 95:[12, 107], Operations: ['70-58=12', '41+66=107'] Exploring Operation: 107-12=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 5, 55, 77, 8 ]
72
[ "77+8=85", "85/5=17", "55+17=72" ]
Current State: 72:[5, 55, 77, 8], Operations: [] Exploring Operation: 77+8=85, Resulting Numbers: [5, 55, 85] Generated Node #2: [5, 55, 85] from Operation: 77+8=85 Current State: 72:[5, 55, 85], Operations: ['77+8=85'] Exploring Operation: 85/5=17, Resulting Numbers: [55, 17] Generated Node #3: [55, 17] from Operation: 85/5=17 Current State: 72:[55, 17], Operations: ['77+8=85', '85/5=17'] Exploring Operation: 55+17=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 84, 83, 30, 46 ]
75
[ "84-83=1", "30+46=76", "76-1=75" ]
Current State: 75:[84, 83, 30, 46], Operations: [] Exploring Operation: 84-83=1, Resulting Numbers: [30, 46, 1] Generated Node #2: [30, 46, 1] from Operation: 84-83=1 Current State: 75:[30, 46, 1], Operations: ['84-83=1'] Exploring Operation: 30+46=76, Resulting Numbers: [1, 76] Generated Node #3: [1, 76] from Operation: 30+46=76 Current State: 75:[1, 76], Operations: ['84-83=1', '30+46=76'] Exploring Operation: 76-1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 6, 9, 42, 76 ]
48
[ "6*42=252", "252/9=28", "76-28=48" ]
Current State: 48:[6, 9, 42, 76], Operations: [] Exploring Operation: 6*42=252, Resulting Numbers: [9, 76, 252] Generated Node #2: [9, 76, 252] from Operation: 6*42=252 Current State: 48:[9, 76, 252], Operations: ['6*42=252'] Exploring Operation: 252/9=28, Resulting Numbers: [76, 28] Generated Node #3: [76, 28] from Operation: 252/9=28 Current State: 48:[76, 28], Operations: ['6*42=252', '252/9=28'] Exploring Operation: 76-28=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 79, 31, 96, 17 ]
94
[ "79-17=62", "62/31=2", "96-2=94" ]
Current State: 94:[79, 31, 96, 17], Operations: [] Exploring Operation: 79-17=62, Resulting Numbers: [31, 96, 62] Generated Node #2: [31, 96, 62] from Operation: 79-17=62 Current State: 94:[31, 96, 62], Operations: ['79-17=62'] Exploring Operation: 62/31=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 62/31=2 Current State: 94:[96, 2], Operations: ['79-17=62', '62/31=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 56, 26, 4, 13 ]
65
[ "56+26=82", "4+13=17", "82-17=65" ]
Current State: 65:[56, 26, 4, 13], Operations: [] Exploring Operation: 56+26=82, Resulting Numbers: [4, 13, 82] Generated Node #2: [4, 13, 82] from Operation: 56+26=82 Current State: 65:[4, 13, 82], Operations: ['56+26=82'] Exploring Operation: 4+13=17, Resulting Numbers: [82, 17] Generated Node #3: [82, 17] from Operation: 4+13=17 Current State: 65:[82, 17], Operations: ['56+26=82', '4+13=17'] Exploring Operation: 82-17=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 55, 30, 96, 48 ]
37
[ "55+30=85", "96-48=48", "85-48=37" ]
Current State: 37:[55, 30, 96, 48], Operations: [] Exploring Operation: 55+30=85, Resulting Numbers: [96, 48, 85] Generated Node #2: [96, 48, 85] from Operation: 55+30=85 Current State: 37:[96, 48, 85], Operations: ['55+30=85'] Exploring Operation: 96-48=48, Resulting Numbers: [85, 48] Generated Node #3: [85, 48] from Operation: 96-48=48 Current State: 37:[85, 48], Operations: ['55+30=85', '96-48=48'] Exploring Operation: 85-48=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 98, 3, 77, 76 ]
53
[ "98+77=175", "3*76=228", "228-175=53" ]
Current State: 53:[98, 3, 77, 76], Operations: [] Exploring Operation: 98+77=175, Resulting Numbers: [3, 76, 175] Generated Node #2: [3, 76, 175] from Operation: 98+77=175 Current State: 53:[3, 76, 175], Operations: ['98+77=175'] Exploring Operation: 3*76=228, Resulting Numbers: [175, 228] Generated Node #3: [175, 228] from Operation: 3*76=228 Current State: 53:[175, 228], Operations: ['98+77=175', '3*76=228'] Exploring Operation: 228-175=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 68, 48, 6, 8 ]
40
[ "68-48=20", "8-6=2", "20*2=40" ]
Current State: 40:[68, 48, 6, 8], Operations: [] Exploring Operation: 68-48=20, Resulting Numbers: [6, 8, 20] Generated Node #2: [6, 8, 20] from Operation: 68-48=20 Current State: 40:[6, 8, 20], Operations: ['68-48=20'] Exploring Operation: 8-6=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 8-6=2 Current State: 40:[20, 2], Operations: ['68-48=20', '8-6=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 91, 46, 62, 66 ]
94
[ "91*46=4186", "62*66=4092", "4186-4092=94" ]
Current State: 94:[91, 46, 62, 66], Operations: [] Exploring Operation: 91*46=4186, Resulting Numbers: [62, 66, 4186] Generated Node #2: [62, 66, 4186] from Operation: 91*46=4186 Current State: 94:[62, 66, 4186], Operations: ['91*46=4186'] Exploring Operation: 62*66=4092, Resulting Numbers: [4186, 4092] Generated Node #3: [4186, 4092] from Operation: 62*66=4092 Current State: 94:[4186, 4092], Operations: ['91*46=4186', '62*66=4092'] Exploring Operation: 4186-4092=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 36, 51, 33, 78 ]
95
[ "36-33=3", "51/3=17", "78+17=95" ]
Current State: 95:[36, 51, 33, 78], Operations: [] Exploring Operation: 36-33=3, Resulting Numbers: [51, 78, 3] Generated Node #2: [51, 78, 3] from Operation: 36-33=3 Current State: 95:[51, 78, 3], Operations: ['36-33=3'] Exploring Operation: 51/3=17, Resulting Numbers: [78, 17] Generated Node #3: [78, 17] from Operation: 51/3=17 Current State: 95:[78, 17], Operations: ['36-33=3', '51/3=17'] Exploring Operation: 78+17=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 25, 12, 3, 93 ]
30
[ "25*3=75", "12+93=105", "105-75=30" ]
Current State: 30:[25, 12, 3, 93], Operations: [] Exploring Operation: 25*3=75, Resulting Numbers: [12, 93, 75] Generated Node #2: [12, 93, 75] from Operation: 25*3=75 Current State: 30:[12, 93, 75], Operations: ['25*3=75'] Exploring Operation: 12+93=105, Resulting Numbers: [75, 105] Generated Node #3: [75, 105] from Operation: 12+93=105 Current State: 30:[75, 105], Operations: ['25*3=75', '12+93=105'] Exploring Operation: 105-75=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 14, 58, 25, 68 ]
16
[ "58+68=126", "126/14=9", "25-9=16" ]
Current State: 16:[14, 58, 25, 68], Operations: [] Exploring Operation: 58+68=126, Resulting Numbers: [14, 25, 126] Generated Node #2: [14, 25, 126] from Operation: 58+68=126 Current State: 16:[14, 25, 126], Operations: ['58+68=126'] Exploring Operation: 126/14=9, Resulting Numbers: [25, 9] Generated Node #3: [25, 9] from Operation: 126/14=9 Current State: 16:[25, 9], Operations: ['58+68=126', '126/14=9'] Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 75, 26, 67, 2 ]
44
[ "75-67=8", "26*2=52", "52-8=44" ]
Current State: 44:[75, 26, 67, 2], Operations: [] Exploring Operation: 75-67=8, Resulting Numbers: [26, 2, 8] Generated Node #2: [26, 2, 8] from Operation: 75-67=8 Current State: 44:[26, 2, 8], Operations: ['75-67=8'] Exploring Operation: 26*2=52, Resulting Numbers: [8, 52] Generated Node #3: [8, 52] from Operation: 26*2=52 Current State: 44:[8, 52], Operations: ['75-67=8', '26*2=52'] Exploring Operation: 52-8=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 96, 95, 72, 42 ]
99
[ "96+72=168", "168/42=4", "95+4=99" ]
Current State: 99:[96, 95, 72, 42], Operations: [] Exploring Operation: 96+72=168, Resulting Numbers: [95, 42, 168] Generated Node #2: [95, 42, 168] from Operation: 96+72=168 Current State: 99:[95, 42, 168], Operations: ['96+72=168'] Exploring Operation: 168/42=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 168/42=4 Current State: 99:[95, 4], Operations: ['96+72=168', '168/42=4'] Exploring Operation: 95+4=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 42, 54, 21, 2 ]
58
[ "42/21=2", "54+2=56", "2+56=58" ]
Current State: 58:[42, 54, 21, 2], Operations: [] Exploring Operation: 42/21=2, Resulting Numbers: [54, 2, 2] Generated Node #2: [54, 2, 2] from Operation: 42/21=2 Current State: 58:[54, 2, 2], Operations: ['42/21=2'] Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,58 equal: Goal Reached Exploring Operation: 2+56=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 19, 87, 26, 34 ]
60
[ "87-19=68", "34-26=8", "68-8=60" ]
Current State: 60:[19, 87, 26, 34], Operations: [] Exploring Operation: 87-19=68, Resulting Numbers: [26, 34, 68] Generated Node #2: [26, 34, 68] from Operation: 87-19=68 Current State: 60:[26, 34, 68], Operations: ['87-19=68'] Exploring Operation: 34-26=8, Resulting Numbers: [68, 8] Generated Node #3: [68, 8] from Operation: 34-26=8 Current State: 60:[68, 8], Operations: ['87-19=68', '34-26=8'] Exploring Operation: 68-8=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 6, 4, 7, 90 ]
86
[ "7-6=1", "90-4=86", "1*86=86" ]
Current State: 86:[6, 4, 7, 90], Operations: [] Exploring Operation: 7-6=1, Resulting Numbers: [4, 90, 1] Generated Node #2: [4, 90, 1] from Operation: 7-6=1 Current State: 86:[4, 90, 1], Operations: ['7-6=1'] Exploring Operation: 90-4=86, Resulting Numbers: [1, 86] Generated Node #3: [1, 86] from Operation: 90-4=86 Current State: 86:[1, 86], Operations: ['7-6=1', '90-4=86'] Exploring Operation: 1*86=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 67, 70, 40, 72 ]
25
[ "67+70=137", "40+72=112", "137-112=25" ]
Current State: 25:[67, 70, 40, 72], Operations: [] Exploring Operation: 67+70=137, Resulting Numbers: [40, 72, 137] Generated Node #2: [40, 72, 137] from Operation: 67+70=137 Current State: 25:[40, 72, 137], Operations: ['67+70=137'] Exploring Operation: 40+72=112, Resulting Numbers: [137, 112] Generated Node #3: [137, 112] from Operation: 40+72=112 Current State: 25:[137, 112], Operations: ['67+70=137', '40+72=112'] Exploring Operation: 137-112=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 49, 54, 94, 91 ]
100
[ "49+54=103", "94-91=3", "103-3=100" ]
Current State: 100:[49, 54, 94, 91], Operations: [] Exploring Operation: 49+54=103, Resulting Numbers: [94, 91, 103] Generated Node #2: [94, 91, 103] from Operation: 49+54=103 Current State: 100:[94, 91, 103], Operations: ['49+54=103'] Exploring Operation: 94-91=3, Resulting Numbers: [103, 3] Generated Node #3: [103, 3] from Operation: 94-91=3 Current State: 100:[103, 3], Operations: ['49+54=103', '94-91=3'] Exploring Operation: 103-3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 20, 32, 75, 59 ]
40
[ "20*32=640", "75-59=16", "640/16=40" ]
Current State: 40:[20, 32, 75, 59], Operations: [] Exploring Operation: 20*32=640, Resulting Numbers: [75, 59, 640] Generated Node #2: [75, 59, 640] from Operation: 20*32=640 Current State: 40:[75, 59, 640], Operations: ['20*32=640'] Exploring Operation: 75-59=16, Resulting Numbers: [640, 16] Generated Node #3: [640, 16] from Operation: 75-59=16 Current State: 40:[640, 16], Operations: ['20*32=640', '75-59=16'] Exploring Operation: 640/16=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 47, 71, 39, 56 ]
34
[ "47*39=1833", "71+1833=1904", "1904/56=34" ]
Current State: 34:[47, 71, 39, 56], Operations: [] Exploring Operation: 47*39=1833, Resulting Numbers: [71, 56, 1833] Generated Node #2: [71, 56, 1833] from Operation: 47*39=1833 Current State: 34:[71, 56, 1833], Operations: ['47*39=1833'] Exploring Operation: 71+1833=1904, Resulting Numbers: [56, 1904] Generated Node #3: [56, 1904] from Operation: 71+1833=1904 Current State: 34:[56, 1904], Operations: ['47*39=1833', '71+1833=1904'] Exploring Operation: 1904/56=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 97, 88, 94, 59 ]
26
[ "97-88=9", "94-59=35", "35-9=26" ]
Current State: 26:[97, 88, 94, 59], Operations: [] Exploring Operation: 97-88=9, Resulting Numbers: [94, 59, 9] Generated Node #2: [94, 59, 9] from Operation: 97-88=9 Current State: 26:[94, 59, 9], Operations: ['97-88=9'] Exploring Operation: 94-59=35, Resulting Numbers: [9, 35] Generated Node #3: [9, 35] from Operation: 94-59=35 Current State: 26:[9, 35], Operations: ['97-88=9', '94-59=35'] Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 49, 28, 62, 26 ]
57
[ "49-28=21", "62-26=36", "21+36=57" ]
Current State: 57:[49, 28, 62, 26], Operations: [] Exploring Operation: 49-28=21, Resulting Numbers: [62, 26, 21] Generated Node #2: [62, 26, 21] from Operation: 49-28=21 Current State: 57:[62, 26, 21], Operations: ['49-28=21'] Exploring Operation: 62-26=36, Resulting Numbers: [21, 36] Generated Node #3: [21, 36] from Operation: 62-26=36 Current State: 57:[21, 36], Operations: ['49-28=21', '62-26=36'] Exploring Operation: 21+36=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 73, 84, 63, 68 ]
55
[ "84-73=11", "68-63=5", "11*5=55" ]
Current State: 55:[73, 84, 63, 68], Operations: [] Exploring Operation: 84-73=11, Resulting Numbers: [63, 68, 11] Generated Node #2: [63, 68, 11] from Operation: 84-73=11 Current State: 55:[63, 68, 11], Operations: ['84-73=11'] Exploring Operation: 68-63=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 68-63=5 Current State: 55:[11, 5], Operations: ['84-73=11', '68-63=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4