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
[ 18, 63, 79, 13 ]
26
[ "18+63=81", "81-79=2", "13*2=26" ]
Current State: 26:[18, 63, 79, 13], Operations: [] Exploring Operation: 18+63=81, Resulting Numbers: [79, 13, 81] Generated Node #2: [79, 13, 81] from Operation: 18+63=81 Current State: 26:[79, 13, 81], Operations: ['18+63=81'] Exploring Operation: 81-79=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 81-79=2 Current State: 26:[13, 2], Operations: ['18+63=81', '81-79=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 70, 72, 19, 56 ]
47
[ "72-70=2", "56/2=28", "19+28=47" ]
Current State: 47:[70, 72, 19, 56], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [19, 56, 2] Generated Node #2: [19, 56, 2] from Operation: 72-70=2 Current State: 47:[19, 56, 2], Operations: ['72-70=2'] Exploring Operation: 56/2=28, Resulting Numbers: [19, 28] Generated Node #3: [19, 28] from Operation: 56/2=28 Current State: 47:[19, 28], Operations: ['72-70=2', '56/2=28'] Exploring Operation: 19+28=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 90, 48, 79, 15 ]
44
[ "90+48=138", "79+15=94", "138-94=44" ]
Current State: 44:[90, 48, 79, 15], Operations: [] Exploring Operation: 90+48=138, Resulting Numbers: [79, 15, 138] Generated Node #2: [79, 15, 138] from Operation: 90+48=138 Current State: 44:[79, 15, 138], Operations: ['90+48=138'] Exploring Operation: 79+15=94, Resulting Numbers: [138, 94] Generated Node #3: [138, 94] from Operation: 79+15=94 Current State: 44:[138, 94], Operations: ['90+48=138', '79+15=94'] Exploring Operation: 138-94=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 4, 24, 24, 81 ]
51
[ "24/4=6", "81-24=57", "57-6=51" ]
Current State: 51:[4, 24, 24, 81], Operations: [] Exploring Operation: 24/4=6, Resulting Numbers: [81, 6] Generated Node #2: [81, 6] from Operation: 24/4=6 Current State: 51:[81, 6], Operations: ['24/4=6'] Exploring Operation: 81-24=57, Resulting Numbers: [6, 57] Generated Node #3: [6, 57] from Operation: 81-24=57 Current State: 51:[6, 57], Operations: ['24/4=6', '81-24=57'] Exploring Operation: 57-6=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 4, 44, 46, 24 ]
63
[ "44+24=68", "68/4=17", "46+17=63" ]
Current State: 63:[4, 44, 46, 24], Operations: [] Exploring Operation: 44+24=68, Resulting Numbers: [4, 46, 68] Generated Node #2: [4, 46, 68] from Operation: 44+24=68 Current State: 63:[4, 46, 68], Operations: ['44+24=68'] Exploring Operation: 68/4=17, Resulting Numbers: [46, 17] Generated Node #3: [46, 17] from Operation: 68/4=17 Current State: 63:[46, 17], Operations: ['44+24=68', '68/4=17'] Exploring Operation: 46+17=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 10, 51, 84, 67 ]
14
[ "10+51=61", "67-61=6", "84/6=14" ]
Current State: 14:[10, 51, 84, 67], Operations: [] Exploring Operation: 10+51=61, Resulting Numbers: [84, 67, 61] Generated Node #2: [84, 67, 61] from Operation: 10+51=61 Current State: 14:[84, 67, 61], Operations: ['10+51=61'] Exploring Operation: 67-61=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 67-61=6 Current State: 14:[84, 6], Operations: ['10+51=61', '67-61=6'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 28, 92, 36, 4 ]
14
[ "92-36=56", "56/4=14", "28-14=14" ]
Current State: 14:[28, 92, 36, 4], Operations: [] Exploring Operation: 92-36=56, Resulting Numbers: [28, 4, 56] Generated Node #2: [28, 4, 56] from Operation: 92-36=56 Current State: 14:[28, 4, 56], Operations: ['92-36=56'] Exploring Operation: 56/4=14, Resulting Numbers: [28, 14] Generated Node #3: [28, 14] from Operation: 56/4=14 Current State: 14:[28, 14], Operations: ['92-36=56', '56/4=14'] Exploring Operation: 28-14=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 70, 96, 26, 94 ]
18
[ "96-94=2", "26*2=52", "70-52=18" ]
Current State: 18:[70, 96, 26, 94], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [70, 26, 2] Generated Node #2: [70, 26, 2] from Operation: 96-94=2 Current State: 18:[70, 26, 2], Operations: ['96-94=2'] Exploring Operation: 26*2=52, Resulting Numbers: [70, 52] Generated Node #3: [70, 52] from Operation: 26*2=52 Current State: 18:[70, 52], Operations: ['96-94=2', '26*2=52'] Exploring Operation: 70-52=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 12, 36, 25, 16 ]
33
[ "36-12=24", "25-16=9", "24+9=33" ]
Current State: 33:[12, 36, 25, 16], Operations: [] Exploring Operation: 36-12=24, Resulting Numbers: [25, 16, 24] Generated Node #2: [25, 16, 24] from Operation: 36-12=24 Current State: 33:[25, 16, 24], Operations: ['36-12=24'] Exploring Operation: 25-16=9, Resulting Numbers: [24, 9] Generated Node #3: [24, 9] from Operation: 25-16=9 Current State: 33:[24, 9], Operations: ['36-12=24', '25-16=9'] Exploring Operation: 24+9=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 17, 76, 40, 47 ]
100
[ "17+76=93", "47-40=7", "93+7=100" ]
Current State: 100:[17, 76, 40, 47], Operations: [] Exploring Operation: 17+76=93, Resulting Numbers: [40, 47, 93] Generated Node #2: [40, 47, 93] from Operation: 17+76=93 Current State: 100:[40, 47, 93], Operations: ['17+76=93'] Exploring Operation: 47-40=7, Resulting Numbers: [93, 7] Generated Node #3: [93, 7] from Operation: 47-40=7 Current State: 100:[93, 7], Operations: ['17+76=93', '47-40=7'] Exploring Operation: 93+7=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 24, 33, 67, 21 ]
78
[ "24-21=3", "33/3=11", "67+11=78" ]
Current State: 78:[24, 33, 67, 21], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [33, 67, 3] Generated Node #2: [33, 67, 3] from Operation: 24-21=3 Current State: 78:[33, 67, 3], Operations: ['24-21=3'] Exploring Operation: 33/3=11, Resulting Numbers: [67, 11] Generated Node #3: [67, 11] from Operation: 33/3=11 Current State: 78:[67, 11], Operations: ['24-21=3', '33/3=11'] Exploring Operation: 67+11=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 62, 51, 1, 53 ]
30
[ "53-51=2", "62/2=31", "31-1=30" ]
Current State: 30:[62, 51, 1, 53], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [62, 1, 2] Generated Node #2: [62, 1, 2] from Operation: 53-51=2 Current State: 30:[62, 1, 2], Operations: ['53-51=2'] Exploring Operation: 62/2=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 62/2=31 Current State: 30:[1, 31], Operations: ['53-51=2', '62/2=31'] Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 97, 78, 39, 68 ]
58
[ "97-68=29", "78/39=2", "29*2=58" ]
Current State: 58:[97, 78, 39, 68], Operations: [] Exploring Operation: 97-68=29, Resulting Numbers: [78, 39, 29] Generated Node #2: [78, 39, 29] from Operation: 97-68=29 Current State: 58:[78, 39, 29], Operations: ['97-68=29'] Exploring Operation: 78/39=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 78/39=2 Current State: 58:[29, 2], Operations: ['97-68=29', '78/39=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 18, 82, 3, 99 ]
38
[ "82-18=64", "3+99=102", "102-64=38" ]
Current State: 38:[18, 82, 3, 99], Operations: [] Exploring Operation: 82-18=64, Resulting Numbers: [3, 99, 64] Generated Node #2: [3, 99, 64] from Operation: 82-18=64 Current State: 38:[3, 99, 64], Operations: ['82-18=64'] Exploring Operation: 3+99=102, Resulting Numbers: [64, 102] Generated Node #3: [64, 102] from Operation: 3+99=102 Current State: 38:[64, 102], Operations: ['82-18=64', '3+99=102'] Exploring Operation: 102-64=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 51, 97, 93, 82 ]
35
[ "97-51=46", "93-82=11", "46-11=35" ]
Current State: 35:[51, 97, 93, 82], Operations: [] Exploring Operation: 97-51=46, Resulting Numbers: [93, 82, 46] Generated Node #2: [93, 82, 46] from Operation: 97-51=46 Current State: 35:[93, 82, 46], Operations: ['97-51=46'] Exploring Operation: 93-82=11, Resulting Numbers: [46, 11] Generated Node #3: [46, 11] from Operation: 93-82=11 Current State: 35:[46, 11], Operations: ['97-51=46', '93-82=11'] Exploring Operation: 46-11=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 79, 71, 51, 54 ]
50
[ "79+71=150", "54-51=3", "150/3=50" ]
Current State: 50:[79, 71, 51, 54], Operations: [] Exploring Operation: 79+71=150, Resulting Numbers: [51, 54, 150] Generated Node #2: [51, 54, 150] from Operation: 79+71=150 Current State: 50:[51, 54, 150], Operations: ['79+71=150'] Exploring Operation: 54-51=3, Resulting Numbers: [150, 3] Generated Node #3: [150, 3] from Operation: 54-51=3 Current State: 50:[150, 3], Operations: ['79+71=150', '54-51=3'] Exploring Operation: 150/3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 14, 14, 70, 94 ]
32
[ "14*14=196", "70+94=164", "196-164=32" ]
Current State: 32:[14, 14, 70, 94], Operations: [] Exploring Operation: 14*14=196, Resulting Numbers: [70, 94, 196] Generated Node #2: [70, 94, 196] from Operation: 14*14=196 Current State: 32:[70, 94, 196], Operations: ['14*14=196'] Exploring Operation: 70+94=164, Resulting Numbers: [196, 164] Generated Node #3: [196, 164] from Operation: 70+94=164 Current State: 32:[196, 164], Operations: ['14*14=196', '70+94=164'] Exploring Operation: 196-164=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 6, 55, 57, 71 ]
79
[ "55-6=49", "57+71=128", "128-49=79" ]
Current State: 79:[6, 55, 57, 71], Operations: [] Exploring Operation: 55-6=49, Resulting Numbers: [57, 71, 49] Generated Node #2: [57, 71, 49] from Operation: 55-6=49 Current State: 79:[57, 71, 49], Operations: ['55-6=49'] Exploring Operation: 57+71=128, Resulting Numbers: [49, 128] Generated Node #3: [49, 128] from Operation: 57+71=128 Current State: 79:[49, 128], Operations: ['55-6=49', '57+71=128'] Exploring Operation: 128-49=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 36, 66, 95, 51 ]
44
[ "36+66=102", "95+51=146", "146-102=44" ]
Current State: 44:[36, 66, 95, 51], Operations: [] Exploring Operation: 36+66=102, Resulting Numbers: [95, 51, 102] Generated Node #2: [95, 51, 102] from Operation: 36+66=102 Current State: 44:[95, 51, 102], Operations: ['36+66=102'] Exploring Operation: 95+51=146, Resulting Numbers: [102, 146] Generated Node #3: [102, 146] from Operation: 95+51=146 Current State: 44:[102, 146], Operations: ['36+66=102', '95+51=146'] Exploring Operation: 146-102=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 13, 8, 21, 18 ]
97
[ "18-13=5", "21*5=105", "105-8=97" ]
Current State: 97:[13, 8, 21, 18], Operations: [] Exploring Operation: 18-13=5, Resulting Numbers: [8, 21, 5] Generated Node #2: [8, 21, 5] from Operation: 18-13=5 Current State: 97:[8, 21, 5], Operations: ['18-13=5'] Exploring Operation: 21*5=105, Resulting Numbers: [8, 105] Generated Node #3: [8, 105] from Operation: 21*5=105 Current State: 97:[8, 105], Operations: ['18-13=5', '21*5=105'] Exploring Operation: 105-8=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 13, 13, 12, 86 ]
99
[ "13/13=1", "12+86=98", "1+98=99" ]
Current State: 99:[13, 13, 12, 86], Operations: [] Exploring Operation: 13/13=1, Resulting Numbers: [12, 86, 1] Generated Node #2: [12, 86, 1] from Operation: 13/13=1 Current State: 99:[12, 86, 1], Operations: ['13/13=1'] Exploring Operation: 12+86=98, Resulting Numbers: [1, 98] Generated Node #3: [1, 98] from Operation: 12+86=98 Current State: 99:[1, 98], Operations: ['13/13=1', '12+86=98'] Exploring Operation: 1+98=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 12, 96, 33, 48 ]
23
[ "96/12=8", "48-33=15", "8+15=23" ]
Current State: 23:[12, 96, 33, 48], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [33, 48, 8] Generated Node #2: [33, 48, 8] from Operation: 96/12=8 Current State: 23:[33, 48, 8], Operations: ['96/12=8'] Exploring Operation: 48-33=15, Resulting Numbers: [8, 15] Generated Node #3: [8, 15] from Operation: 48-33=15 Current State: 23:[8, 15], Operations: ['96/12=8', '48-33=15'] Exploring Operation: 8+15=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 27, 49, 40, 35 ]
86
[ "40-35=5", "27*5=135", "135-49=86" ]
Current State: 86:[27, 49, 40, 35], Operations: [] Exploring Operation: 40-35=5, Resulting Numbers: [27, 49, 5] Generated Node #2: [27, 49, 5] from Operation: 40-35=5 Current State: 86:[27, 49, 5], Operations: ['40-35=5'] Exploring Operation: 27*5=135, Resulting Numbers: [49, 135] Generated Node #3: [49, 135] from Operation: 27*5=135 Current State: 86:[49, 135], Operations: ['40-35=5', '27*5=135'] Exploring Operation: 135-49=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 20, 32, 41, 24 ]
52
[ "20*41=820", "32*24=768", "820-768=52" ]
Current State: 52:[20, 32, 41, 24], Operations: [] Exploring Operation: 20*41=820, Resulting Numbers: [32, 24, 820] Generated Node #2: [32, 24, 820] from Operation: 20*41=820 Current State: 52:[32, 24, 820], Operations: ['20*41=820'] Exploring Operation: 32*24=768, Resulting Numbers: [820, 768] Generated Node #3: [820, 768] from Operation: 32*24=768 Current State: 52:[820, 768], Operations: ['20*41=820', '32*24=768'] Exploring Operation: 820-768=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 30, 75, 67, 45 ]
63
[ "75+45=120", "120/30=4", "67-4=63" ]
Current State: 63:[30, 75, 67, 45], Operations: [] Exploring Operation: 75+45=120, Resulting Numbers: [30, 67, 120] Generated Node #2: [30, 67, 120] from Operation: 75+45=120 Current State: 63:[30, 67, 120], Operations: ['75+45=120'] Exploring Operation: 120/30=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 120/30=4 Current State: 63:[67, 4], Operations: ['75+45=120', '120/30=4'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 96, 42, 22, 75 ]
41
[ "96+42=138", "22+75=97", "138-97=41" ]
Current State: 41:[96, 42, 22, 75], Operations: [] Exploring Operation: 96+42=138, Resulting Numbers: [22, 75, 138] Generated Node #2: [22, 75, 138] from Operation: 96+42=138 Current State: 41:[22, 75, 138], Operations: ['96+42=138'] Exploring Operation: 22+75=97, Resulting Numbers: [138, 97] Generated Node #3: [138, 97] from Operation: 22+75=97 Current State: 41:[138, 97], Operations: ['96+42=138', '22+75=97'] Exploring Operation: 138-97=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 78, 53, 45, 11 ]
81
[ "78-53=25", "45+11=56", "25+56=81" ]
Current State: 81:[78, 53, 45, 11], Operations: [] Exploring Operation: 78-53=25, Resulting Numbers: [45, 11, 25] Generated Node #2: [45, 11, 25] from Operation: 78-53=25 Current State: 81:[45, 11, 25], Operations: ['78-53=25'] Exploring Operation: 45+11=56, Resulting Numbers: [25, 56] Generated Node #3: [25, 56] from Operation: 45+11=56 Current State: 81:[25, 56], Operations: ['78-53=25', '45+11=56'] Exploring Operation: 25+56=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 30, 9, 6, 84 ]
35
[ "30-9=21", "84/6=14", "21+14=35" ]
Current State: 35:[30, 9, 6, 84], Operations: [] Exploring Operation: 30-9=21, Resulting Numbers: [6, 84, 21] Generated Node #2: [6, 84, 21] from Operation: 30-9=21 Current State: 35:[6, 84, 21], Operations: ['30-9=21'] Exploring Operation: 84/6=14, Resulting Numbers: [21, 14] Generated Node #3: [21, 14] from Operation: 84/6=14 Current State: 35:[21, 14], Operations: ['30-9=21', '84/6=14'] Exploring Operation: 21+14=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 33, 27, 36, 58 ]
82
[ "33+27=60", "58-36=22", "60+22=82" ]
Current State: 82:[33, 27, 36, 58], Operations: [] Exploring Operation: 33+27=60, Resulting Numbers: [36, 58, 60] Generated Node #2: [36, 58, 60] from Operation: 33+27=60 Current State: 82:[36, 58, 60], Operations: ['33+27=60'] Exploring Operation: 58-36=22, Resulting Numbers: [60, 22] Generated Node #3: [60, 22] from Operation: 58-36=22 Current State: 82:[60, 22], Operations: ['33+27=60', '58-36=22'] Exploring Operation: 60+22=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 68, 77, 86, 65 ]
30
[ "77-68=9", "86-65=21", "9+21=30" ]
Current State: 30:[68, 77, 86, 65], Operations: [] Exploring Operation: 77-68=9, Resulting Numbers: [86, 65, 9] Generated Node #2: [86, 65, 9] from Operation: 77-68=9 Current State: 30:[86, 65, 9], Operations: ['77-68=9'] Exploring Operation: 86-65=21, Resulting Numbers: [9, 21] Generated Node #3: [9, 21] from Operation: 86-65=21 Current State: 30:[9, 21], Operations: ['77-68=9', '86-65=21'] Exploring Operation: 9+21=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 11, 3, 10, 40 ]
15
[ "11-3=8", "40/8=5", "10+5=15" ]
Current State: 15:[11, 3, 10, 40], Operations: [] Exploring Operation: 11-3=8, Resulting Numbers: [10, 40, 8] Generated Node #2: [10, 40, 8] from Operation: 11-3=8 Current State: 15:[10, 40, 8], Operations: ['11-3=8'] Exploring Operation: 40/8=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 40/8=5 Current State: 15:[10, 5], Operations: ['11-3=8', '40/8=5'] Exploring Operation: 10+5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 25, 91, 57, 82 ]
91
[ "25+91=116", "82-57=25", "116-25=91" ]
Current State: 91:[25, 91, 57, 82], Operations: [] Exploring Operation: 25+91=116, Resulting Numbers: [57, 82, 116] Generated Node #2: [57, 82, 116] from Operation: 25+91=116 Current State: 91:[57, 82, 116], Operations: ['25+91=116'] Exploring Operation: 82-57=25, Resulting Numbers: [116, 25] Generated Node #3: [116, 25] from Operation: 82-57=25 Current State: 91:[116, 25], Operations: ['25+91=116', '82-57=25'] Exploring Operation: 116-25=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 82, 15, 23, 97 ]
53
[ "82-15=67", "23+97=120", "120-67=53" ]
Current State: 53:[82, 15, 23, 97], Operations: [] Exploring Operation: 82-15=67, Resulting Numbers: [23, 97, 67] Generated Node #2: [23, 97, 67] from Operation: 82-15=67 Current State: 53:[23, 97, 67], Operations: ['82-15=67'] Exploring Operation: 23+97=120, Resulting Numbers: [67, 120] Generated Node #3: [67, 120] from Operation: 23+97=120 Current State: 53:[67, 120], Operations: ['82-15=67', '23+97=120'] Exploring Operation: 120-67=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 24, 88, 75, 9 ]
99
[ "88-24=64", "75-64=11", "9*11=99" ]
Current State: 99:[24, 88, 75, 9], Operations: [] Exploring Operation: 88-24=64, Resulting Numbers: [75, 9, 64] Generated Node #2: [75, 9, 64] from Operation: 88-24=64 Current State: 99:[75, 9, 64], Operations: ['88-24=64'] Exploring Operation: 75-64=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 75-64=11 Current State: 99:[9, 11], Operations: ['88-24=64', '75-64=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 65, 3, 39, 33 ]
60
[ "3+33=36", "65*36=2340", "2340/39=60" ]
Current State: 60:[65, 3, 39, 33], Operations: [] Exploring Operation: 3+33=36, Resulting Numbers: [65, 39, 36] Generated Node #2: [65, 39, 36] from Operation: 3+33=36 Current State: 60:[65, 39, 36], Operations: ['3+33=36'] Exploring Operation: 65*36=2340, Resulting Numbers: [39, 2340] Generated Node #3: [39, 2340] from Operation: 65*36=2340 Current State: 60:[39, 2340], Operations: ['3+33=36', '65*36=2340'] Exploring Operation: 2340/39=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 42, 58, 3, 56 ]
18
[ "58-56=2", "42/2=21", "21-3=18" ]
Current State: 18:[42, 58, 3, 56], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [42, 3, 2] Generated Node #2: [42, 3, 2] from Operation: 58-56=2 Current State: 18:[42, 3, 2], Operations: ['58-56=2'] Exploring Operation: 42/2=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 42/2=21 Current State: 18:[3, 21], Operations: ['58-56=2', '42/2=21'] Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 84, 36, 45, 80 ]
20
[ "36*80=2880", "2880/45=64", "84-64=20" ]
Current State: 20:[84, 36, 45, 80], Operations: [] Exploring Operation: 36*80=2880, Resulting Numbers: [84, 45, 2880] Generated Node #2: [84, 45, 2880] from Operation: 36*80=2880 Current State: 20:[84, 45, 2880], Operations: ['36*80=2880'] Exploring Operation: 2880/45=64, Resulting Numbers: [84, 64] Generated Node #3: [84, 64] from Operation: 2880/45=64 Current State: 20:[84, 64], Operations: ['36*80=2880', '2880/45=64'] Exploring Operation: 84-64=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 29, 4, 66, 70 ]
100
[ "29-4=25", "70-66=4", "25*4=100" ]
Current State: 100:[29, 4, 66, 70], Operations: [] Exploring Operation: 29-4=25, Resulting Numbers: [66, 70, 25] Generated Node #2: [66, 70, 25] from Operation: 29-4=25 Current State: 100:[66, 70, 25], Operations: ['29-4=25'] Exploring Operation: 70-66=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 70-66=4 Current State: 100:[25, 4], Operations: ['29-4=25', '70-66=4'] Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 63, 44, 26, 20 ]
65
[ "63-44=19", "26+20=46", "19+46=65" ]
Current State: 65:[63, 44, 26, 20], Operations: [] Exploring Operation: 63-44=19, Resulting Numbers: [26, 20, 19] Generated Node #2: [26, 20, 19] from Operation: 63-44=19 Current State: 65:[26, 20, 19], Operations: ['63-44=19'] Exploring Operation: 26+20=46, Resulting Numbers: [19, 46] Generated Node #3: [19, 46] from Operation: 26+20=46 Current State: 65:[19, 46], Operations: ['63-44=19', '26+20=46'] Exploring Operation: 19+46=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 4, 25, 39, 91 ]
75
[ "25+39=64", "64/4=16", "91-16=75" ]
Current State: 75:[4, 25, 39, 91], Operations: [] Exploring Operation: 25+39=64, Resulting Numbers: [4, 91, 64] Generated Node #2: [4, 91, 64] from Operation: 25+39=64 Current State: 75:[4, 91, 64], Operations: ['25+39=64'] Exploring Operation: 64/4=16, Resulting Numbers: [91, 16] Generated Node #3: [91, 16] from Operation: 64/4=16 Current State: 75:[91, 16], Operations: ['25+39=64', '64/4=16'] Exploring Operation: 91-16=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 89, 56, 66, 86 ]
78
[ "89-86=3", "66/3=22", "56+22=78" ]
Current State: 78:[89, 56, 66, 86], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [56, 66, 3] Generated Node #2: [56, 66, 3] from Operation: 89-86=3 Current State: 78:[56, 66, 3], Operations: ['89-86=3'] Exploring Operation: 66/3=22, Resulting Numbers: [56, 22] Generated Node #3: [56, 22] from Operation: 66/3=22 Current State: 78:[56, 22], Operations: ['89-86=3', '66/3=22'] Exploring Operation: 56+22=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 33, 38, 46, 2 ]
64
[ "46-33=13", "2*13=26", "38+26=64" ]
Current State: 64:[33, 38, 46, 2], Operations: [] Exploring Operation: 46-33=13, Resulting Numbers: [38, 2, 13] Generated Node #2: [38, 2, 13] from Operation: 46-33=13 Current State: 64:[38, 2, 13], Operations: ['46-33=13'] Exploring Operation: 2*13=26, Resulting Numbers: [38, 26] Generated Node #3: [38, 26] from Operation: 2*13=26 Current State: 64:[38, 26], Operations: ['46-33=13', '2*13=26'] Exploring Operation: 38+26=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 15, 43, 45, 85 ]
68
[ "43-15=28", "85-45=40", "28+40=68" ]
Current State: 68:[15, 43, 45, 85], Operations: [] Exploring Operation: 43-15=28, Resulting Numbers: [45, 85, 28] Generated Node #2: [45, 85, 28] from Operation: 43-15=28 Current State: 68:[45, 85, 28], Operations: ['43-15=28'] Exploring Operation: 85-45=40, Resulting Numbers: [28, 40] Generated Node #3: [28, 40] from Operation: 85-45=40 Current State: 68:[28, 40], Operations: ['43-15=28', '85-45=40'] Exploring Operation: 28+40=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 67, 64, 39, 25 ]
92
[ "67-64=3", "39*3=117", "117-25=92" ]
Current State: 92:[67, 64, 39, 25], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [39, 25, 3] Generated Node #2: [39, 25, 3] from Operation: 67-64=3 Current State: 92:[39, 25, 3], Operations: ['67-64=3'] Exploring Operation: 39*3=117, Resulting Numbers: [25, 117] Generated Node #3: [25, 117] from Operation: 39*3=117 Current State: 92:[25, 117], Operations: ['67-64=3', '39*3=117'] Exploring Operation: 117-25=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 10, 99, 70, 90 ]
20
[ "90/10=9", "99-70=29", "29-9=20" ]
Current State: 20:[10, 99, 70, 90], Operations: [] Exploring Operation: 90/10=9, Resulting Numbers: [99, 70, 9] Generated Node #2: [99, 70, 9] from Operation: 90/10=9 Current State: 20:[99, 70, 9], Operations: ['90/10=9'] Exploring Operation: 99-70=29, Resulting Numbers: [9, 29] Generated Node #3: [9, 29] from Operation: 99-70=29 Current State: 20:[9, 29], Operations: ['90/10=9', '99-70=29'] Exploring Operation: 29-9=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 15, 70, 40, 21 ]
66
[ "15+70=85", "40-21=19", "85-19=66" ]
Current State: 66:[15, 70, 40, 21], Operations: [] Exploring Operation: 15+70=85, Resulting Numbers: [40, 21, 85] Generated Node #2: [40, 21, 85] from Operation: 15+70=85 Current State: 66:[40, 21, 85], Operations: ['15+70=85'] Exploring Operation: 40-21=19, Resulting Numbers: [85, 19] Generated Node #3: [85, 19] from Operation: 40-21=19 Current State: 66:[85, 19], Operations: ['15+70=85', '40-21=19'] Exploring Operation: 85-19=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 10, 51, 21, 73 ]
48
[ "73-10=63", "63/21=3", "51-3=48" ]
Current State: 48:[10, 51, 21, 73], Operations: [] Exploring Operation: 73-10=63, Resulting Numbers: [51, 21, 63] Generated Node #2: [51, 21, 63] from Operation: 73-10=63 Current State: 48:[51, 21, 63], Operations: ['73-10=63'] Exploring Operation: 63/21=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 63/21=3 Current State: 48:[51, 3], Operations: ['73-10=63', '63/21=3'] Exploring Operation: 51-3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 35, 7, 2, 66 ]
73
[ "35/7=5", "2+66=68", "5+68=73" ]
Current State: 73:[35, 7, 2, 66], Operations: [] Exploring Operation: 35/7=5, Resulting Numbers: [2, 66, 5] Generated Node #2: [2, 66, 5] from Operation: 35/7=5 Current State: 73:[2, 66, 5], Operations: ['35/7=5'] Exploring Operation: 2+66=68, Resulting Numbers: [5, 68] Generated Node #3: [5, 68] from Operation: 2+66=68 Current State: 73:[5, 68], Operations: ['35/7=5', '2+66=68'] Exploring Operation: 5+68=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 62, 31, 62, 2 ]
30
[ "62/31=2", "62-2=60", "60/2=30" ]
Current State: 30:[62, 31, 62, 2], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [2, 2] Generated Node #2: [2, 2] from Operation: 62/31=2 Current State: 30:[2, 2], Operations: ['62/31=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,30 equal: Goal Reached Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 12, 73, 24, 15 ]
86
[ "24/12=2", "73+15=88", "88-2=86" ]
Current State: 86:[12, 73, 24, 15], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [73, 15, 2] Generated Node #2: [73, 15, 2] from Operation: 24/12=2 Current State: 86:[73, 15, 2], Operations: ['24/12=2'] Exploring Operation: 73+15=88, Resulting Numbers: [2, 88] Generated Node #3: [2, 88] from Operation: 73+15=88 Current State: 86:[2, 88], Operations: ['24/12=2', '73+15=88'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 3, 62, 22, 70 ]
10
[ "62-22=40", "70-40=30", "30/3=10" ]
Current State: 10:[3, 62, 22, 70], Operations: [] Exploring Operation: 62-22=40, Resulting Numbers: [3, 70, 40] Generated Node #2: [3, 70, 40] from Operation: 62-22=40 Current State: 10:[3, 70, 40], Operations: ['62-22=40'] Exploring Operation: 70-40=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 70-40=30 Current State: 10:[3, 30], Operations: ['62-22=40', '70-40=30'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 65, 7, 63, 98 ]
56
[ "65-63=2", "98/2=49", "7+49=56" ]
Current State: 56:[65, 7, 63, 98], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [7, 98, 2] Generated Node #2: [7, 98, 2] from Operation: 65-63=2 Current State: 56:[7, 98, 2], Operations: ['65-63=2'] Exploring Operation: 98/2=49, Resulting Numbers: [7, 49] Generated Node #3: [7, 49] from Operation: 98/2=49 Current State: 56:[7, 49], Operations: ['65-63=2', '98/2=49'] Exploring Operation: 7+49=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 74, 51, 28, 38 ]
33
[ "74-51=23", "38-28=10", "23+10=33" ]
Current State: 33:[74, 51, 28, 38], Operations: [] Exploring Operation: 74-51=23, Resulting Numbers: [28, 38, 23] Generated Node #2: [28, 38, 23] from Operation: 74-51=23 Current State: 33:[28, 38, 23], Operations: ['74-51=23'] Exploring Operation: 38-28=10, Resulting Numbers: [23, 10] Generated Node #3: [23, 10] from Operation: 38-28=10 Current State: 33:[23, 10], Operations: ['74-51=23', '38-28=10'] Exploring Operation: 23+10=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 22, 44, 44, 13 ]
34
[ "22+13=35", "44/44=1", "35-1=34" ]
Current State: 34:[22, 44, 44, 13], Operations: [] Exploring Operation: 22+13=35, Resulting Numbers: [44, 44, 35] Generated Node #2: [44, 44, 35] from Operation: 22+13=35 Current State: 34:[44, 44, 35], Operations: ['22+13=35'] Exploring Operation: 44/44=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 44/44=1 Current State: 34:[35, 1], Operations: ['22+13=35', '44/44=1'] Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 56, 2, 5, 75 ]
57
[ "75-56=19", "5-2=3", "19*3=57" ]
Current State: 57:[56, 2, 5, 75], Operations: [] Exploring Operation: 75-56=19, Resulting Numbers: [2, 5, 19] Generated Node #2: [2, 5, 19] from Operation: 75-56=19 Current State: 57:[2, 5, 19], Operations: ['75-56=19'] Exploring Operation: 5-2=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 5-2=3 Current State: 57:[19, 3], Operations: ['75-56=19', '5-2=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 48, 43, 37, 90 ]
58
[ "48-43=5", "90-37=53", "5+53=58" ]
Current State: 58:[48, 43, 37, 90], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [37, 90, 5] Generated Node #2: [37, 90, 5] from Operation: 48-43=5 Current State: 58:[37, 90, 5], Operations: ['48-43=5'] Exploring Operation: 90-37=53, Resulting Numbers: [5, 53] Generated Node #3: [5, 53] from Operation: 90-37=53 Current State: 58:[5, 53], Operations: ['48-43=5', '90-37=53'] Exploring Operation: 5+53=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 51, 71, 4, 11 ]
13
[ "71-51=20", "11-4=7", "20-7=13" ]
Current State: 13:[51, 71, 4, 11], Operations: [] Exploring Operation: 71-51=20, Resulting Numbers: [4, 11, 20] Generated Node #2: [4, 11, 20] from Operation: 71-51=20 Current State: 13:[4, 11, 20], Operations: ['71-51=20'] Exploring Operation: 11-4=7, Resulting Numbers: [20, 7] Generated Node #3: [20, 7] from Operation: 11-4=7 Current State: 13:[20, 7], Operations: ['71-51=20', '11-4=7'] Exploring Operation: 20-7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 28, 64, 95, 85 ]
46
[ "64-28=36", "95-85=10", "36+10=46" ]
Current State: 46:[28, 64, 95, 85], Operations: [] Exploring Operation: 64-28=36, Resulting Numbers: [95, 85, 36] Generated Node #2: [95, 85, 36] from Operation: 64-28=36 Current State: 46:[95, 85, 36], Operations: ['64-28=36'] Exploring Operation: 95-85=10, Resulting Numbers: [36, 10] Generated Node #3: [36, 10] from Operation: 95-85=10 Current State: 46:[36, 10], Operations: ['64-28=36', '95-85=10'] Exploring Operation: 36+10=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 54, 99, 3, 13 ]
61
[ "99-54=45", "3+13=16", "45+16=61" ]
Current State: 61:[54, 99, 3, 13], Operations: [] Exploring Operation: 99-54=45, Resulting Numbers: [3, 13, 45] Generated Node #2: [3, 13, 45] from Operation: 99-54=45 Current State: 61:[3, 13, 45], Operations: ['99-54=45'] Exploring Operation: 3+13=16, Resulting Numbers: [45, 16] Generated Node #3: [45, 16] from Operation: 3+13=16 Current State: 61:[45, 16], Operations: ['99-54=45', '3+13=16'] Exploring Operation: 45+16=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 44, 82, 12, 63 ]
37
[ "82-44=38", "12+63=75", "75-38=37" ]
Current State: 37:[44, 82, 12, 63], Operations: [] Exploring Operation: 82-44=38, Resulting Numbers: [12, 63, 38] Generated Node #2: [12, 63, 38] from Operation: 82-44=38 Current State: 37:[12, 63, 38], Operations: ['82-44=38'] Exploring Operation: 12+63=75, Resulting Numbers: [38, 75] Generated Node #3: [38, 75] from Operation: 12+63=75 Current State: 37:[38, 75], Operations: ['82-44=38', '12+63=75'] Exploring Operation: 75-38=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 33, 79, 10, 87 ]
47
[ "87-79=8", "10*8=80", "80-33=47" ]
Current State: 47:[33, 79, 10, 87], Operations: [] Exploring Operation: 87-79=8, Resulting Numbers: [33, 10, 8] Generated Node #2: [33, 10, 8] from Operation: 87-79=8 Current State: 47:[33, 10, 8], Operations: ['87-79=8'] Exploring Operation: 10*8=80, Resulting Numbers: [33, 80] Generated Node #3: [33, 80] from Operation: 10*8=80 Current State: 47:[33, 80], Operations: ['87-79=8', '10*8=80'] Exploring Operation: 80-33=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 40, 50, 68, 96 ]
70
[ "50*96=4800", "4800-40=4760", "4760/68=70" ]
Current State: 70:[40, 50, 68, 96], Operations: [] Exploring Operation: 50*96=4800, Resulting Numbers: [40, 68, 4800] Generated Node #2: [40, 68, 4800] from Operation: 50*96=4800 Current State: 70:[40, 68, 4800], Operations: ['50*96=4800'] Exploring Operation: 4800-40=4760, Resulting Numbers: [68, 4760] Generated Node #3: [68, 4760] from Operation: 4800-40=4760 Current State: 70:[68, 4760], Operations: ['50*96=4800', '4800-40=4760'] Exploring Operation: 4760/68=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 70, 30, 68, 2 ]
58
[ "70-68=2", "30*2=60", "60-2=58" ]
Current State: 58:[70, 30, 68, 2], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [30, 2, 2] Generated Node #2: [30, 2, 2] from Operation: 70-68=2 Current State: 58:[30, 2, 2], Operations: ['70-68=2'] Exploring Operation: 30*2=60, Resulting Numbers: [60] 60,58 equal: Goal Reached Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 67, 16, 60, 31 ]
80
[ "67-16=51", "60-31=29", "51+29=80" ]
Current State: 80:[67, 16, 60, 31], Operations: [] Exploring Operation: 67-16=51, Resulting Numbers: [60, 31, 51] Generated Node #2: [60, 31, 51] from Operation: 67-16=51 Current State: 80:[60, 31, 51], Operations: ['67-16=51'] Exploring Operation: 60-31=29, Resulting Numbers: [51, 29] Generated Node #3: [51, 29] from Operation: 60-31=29 Current State: 80:[51, 29], Operations: ['67-16=51', '60-31=29'] Exploring Operation: 51+29=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 14, 72, 77, 87 ]
48
[ "72-14=58", "87-77=10", "58-10=48" ]
Current State: 48:[14, 72, 77, 87], Operations: [] Exploring Operation: 72-14=58, Resulting Numbers: [77, 87, 58] Generated Node #2: [77, 87, 58] from Operation: 72-14=58 Current State: 48:[77, 87, 58], Operations: ['72-14=58'] Exploring Operation: 87-77=10, Resulting Numbers: [58, 10] Generated Node #3: [58, 10] from Operation: 87-77=10 Current State: 48:[58, 10], Operations: ['72-14=58', '87-77=10'] Exploring Operation: 58-10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 96, 52, 70, 60 ]
58
[ "96-70=26", "52/26=2", "60-2=58" ]
Current State: 58:[96, 52, 70, 60], Operations: [] Exploring Operation: 96-70=26, Resulting Numbers: [52, 60, 26] Generated Node #2: [52, 60, 26] from Operation: 96-70=26 Current State: 58:[52, 60, 26], Operations: ['96-70=26'] Exploring Operation: 52/26=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 52/26=2 Current State: 58:[60, 2], Operations: ['96-70=26', '52/26=2'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 51, 82, 2, 10 ]
87
[ "82-10=72", "72/2=36", "51+36=87" ]
Current State: 87:[51, 82, 2, 10], Operations: [] Exploring Operation: 82-10=72, Resulting Numbers: [51, 2, 72] Generated Node #2: [51, 2, 72] from Operation: 82-10=72 Current State: 87:[51, 2, 72], Operations: ['82-10=72'] Exploring Operation: 72/2=36, Resulting Numbers: [51, 36] Generated Node #3: [51, 36] from Operation: 72/2=36 Current State: 87:[51, 36], Operations: ['82-10=72', '72/2=36'] Exploring Operation: 51+36=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 90, 65, 10, 43 ]
28
[ "90-65=25", "10+43=53", "53-25=28" ]
Current State: 28:[90, 65, 10, 43], Operations: [] Exploring Operation: 90-65=25, Resulting Numbers: [10, 43, 25] Generated Node #2: [10, 43, 25] from Operation: 90-65=25 Current State: 28:[10, 43, 25], Operations: ['90-65=25'] Exploring Operation: 10+43=53, Resulting Numbers: [25, 53] Generated Node #3: [25, 53] from Operation: 10+43=53 Current State: 28:[25, 53], Operations: ['90-65=25', '10+43=53'] Exploring Operation: 53-25=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 33, 46, 99, 75 ]
27
[ "33*99=3267", "46+75=121", "3267/121=27" ]
Current State: 27:[33, 46, 99, 75], Operations: [] Exploring Operation: 33*99=3267, Resulting Numbers: [46, 75, 3267] Generated Node #2: [46, 75, 3267] from Operation: 33*99=3267 Current State: 27:[46, 75, 3267], Operations: ['33*99=3267'] Exploring Operation: 46+75=121, Resulting Numbers: [3267, 121] Generated Node #3: [3267, 121] from Operation: 46+75=121 Current State: 27:[3267, 121], Operations: ['33*99=3267', '46+75=121'] Exploring Operation: 3267/121=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 14, 39, 65, 10 ]
91
[ "14-10=4", "39*4=156", "156-65=91" ]
Current State: 91:[14, 39, 65, 10], Operations: [] Exploring Operation: 14-10=4, Resulting Numbers: [39, 65, 4] Generated Node #2: [39, 65, 4] from Operation: 14-10=4 Current State: 91:[39, 65, 4], Operations: ['14-10=4'] Exploring Operation: 39*4=156, Resulting Numbers: [65, 156] Generated Node #3: [65, 156] from Operation: 39*4=156 Current State: 91:[65, 156], Operations: ['14-10=4', '39*4=156'] Exploring Operation: 156-65=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 9, 60, 43, 3 ]
42
[ "43-9=34", "3*34=102", "102-60=42" ]
Current State: 42:[9, 60, 43, 3], Operations: [] Exploring Operation: 43-9=34, Resulting Numbers: [60, 3, 34] Generated Node #2: [60, 3, 34] from Operation: 43-9=34 Current State: 42:[60, 3, 34], Operations: ['43-9=34'] Exploring Operation: 3*34=102, Resulting Numbers: [60, 102] Generated Node #3: [60, 102] from Operation: 3*34=102 Current State: 42:[60, 102], Operations: ['43-9=34', '3*34=102'] Exploring Operation: 102-60=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 33, 3, 83, 16 ]
37
[ "33-3=30", "83-16=67", "67-30=37" ]
Current State: 37:[33, 3, 83, 16], Operations: [] Exploring Operation: 33-3=30, Resulting Numbers: [83, 16, 30] Generated Node #2: [83, 16, 30] from Operation: 33-3=30 Current State: 37:[83, 16, 30], Operations: ['33-3=30'] Exploring Operation: 83-16=67, Resulting Numbers: [30, 67] Generated Node #3: [30, 67] from Operation: 83-16=67 Current State: 37:[30, 67], Operations: ['33-3=30', '83-16=67'] Exploring Operation: 67-30=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 93, 10, 8, 27 ]
68
[ "93+10=103", "8+27=35", "103-35=68" ]
Current State: 68:[93, 10, 8, 27], Operations: [] Exploring Operation: 93+10=103, Resulting Numbers: [8, 27, 103] Generated Node #2: [8, 27, 103] from Operation: 93+10=103 Current State: 68:[8, 27, 103], Operations: ['93+10=103'] Exploring Operation: 8+27=35, Resulting Numbers: [103, 35] Generated Node #3: [103, 35] from Operation: 8+27=35 Current State: 68:[103, 35], Operations: ['93+10=103', '8+27=35'] Exploring Operation: 103-35=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 14, 7, 49, 87 ]
77
[ "14*49=686", "7*87=609", "686-609=77" ]
Current State: 77:[14, 7, 49, 87], Operations: [] Exploring Operation: 14*49=686, Resulting Numbers: [7, 87, 686] Generated Node #2: [7, 87, 686] from Operation: 14*49=686 Current State: 77:[7, 87, 686], Operations: ['14*49=686'] Exploring Operation: 7*87=609, Resulting Numbers: [686, 609] Generated Node #3: [686, 609] from Operation: 7*87=609 Current State: 77:[686, 609], Operations: ['14*49=686', '7*87=609'] Exploring Operation: 686-609=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 19, 29, 69, 36 ]
64
[ "36-29=7", "19*7=133", "133-69=64" ]
Current State: 64:[19, 29, 69, 36], Operations: [] Exploring Operation: 36-29=7, Resulting Numbers: [19, 69, 7] Generated Node #2: [19, 69, 7] from Operation: 36-29=7 Current State: 64:[19, 69, 7], Operations: ['36-29=7'] Exploring Operation: 19*7=133, Resulting Numbers: [69, 133] Generated Node #3: [69, 133] from Operation: 19*7=133 Current State: 64:[69, 133], Operations: ['36-29=7', '19*7=133'] Exploring Operation: 133-69=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 44, 34, 86, 40 ]
72
[ "34*86=2924", "2924-44=2880", "2880/40=72" ]
Current State: 72:[44, 34, 86, 40], Operations: [] Exploring Operation: 34*86=2924, Resulting Numbers: [44, 40, 2924] Generated Node #2: [44, 40, 2924] from Operation: 34*86=2924 Current State: 72:[44, 40, 2924], Operations: ['34*86=2924'] Exploring Operation: 2924-44=2880, Resulting Numbers: [40, 2880] Generated Node #3: [40, 2880] from Operation: 2924-44=2880 Current State: 72:[40, 2880], Operations: ['34*86=2924', '2924-44=2880'] Exploring Operation: 2880/40=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 77, 16, 61, 79 ]
69
[ "79-77=2", "16/2=8", "61+8=69" ]
Current State: 69:[77, 16, 61, 79], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [16, 61, 2] Generated Node #2: [16, 61, 2] from Operation: 79-77=2 Current State: 69:[16, 61, 2], Operations: ['79-77=2'] Exploring Operation: 16/2=8, Resulting Numbers: [61, 8] Generated Node #3: [61, 8] from Operation: 16/2=8 Current State: 69:[61, 8], Operations: ['79-77=2', '16/2=8'] Exploring Operation: 61+8=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 19, 92, 63, 14 ]
62
[ "19+92=111", "63-14=49", "111-49=62" ]
Current State: 62:[19, 92, 63, 14], Operations: [] Exploring Operation: 19+92=111, Resulting Numbers: [63, 14, 111] Generated Node #2: [63, 14, 111] from Operation: 19+92=111 Current State: 62:[63, 14, 111], Operations: ['19+92=111'] Exploring Operation: 63-14=49, Resulting Numbers: [111, 49] Generated Node #3: [111, 49] from Operation: 63-14=49 Current State: 62:[111, 49], Operations: ['19+92=111', '63-14=49'] Exploring Operation: 111-49=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 70, 59, 32, 77 ]
20
[ "70+59=129", "32+77=109", "129-109=20" ]
Current State: 20:[70, 59, 32, 77], Operations: [] Exploring Operation: 70+59=129, Resulting Numbers: [32, 77, 129] Generated Node #2: [32, 77, 129] from Operation: 70+59=129 Current State: 20:[32, 77, 129], Operations: ['70+59=129'] Exploring Operation: 32+77=109, Resulting Numbers: [129, 109] Generated Node #3: [129, 109] from Operation: 32+77=109 Current State: 20:[129, 109], Operations: ['70+59=129', '32+77=109'] Exploring Operation: 129-109=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 8, 1, 3, 81 ]
86
[ "8*1=8", "81-3=78", "8+78=86" ]
Current State: 86:[8, 1, 3, 81], Operations: [] Exploring Operation: 8*1=8, Resulting Numbers: [3, 81, 8] Generated Node #2: [3, 81, 8] from Operation: 8*1=8 Current State: 86:[3, 81, 8], Operations: ['8*1=8'] Exploring Operation: 81-3=78, Resulting Numbers: [8, 78] Generated Node #3: [8, 78] from Operation: 81-3=78 Current State: 86:[8, 78], Operations: ['8*1=8', '81-3=78'] Exploring Operation: 8+78=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 82, 41, 36, 20 ]
26
[ "82/41=2", "20/2=10", "36-10=26" ]
Current State: 26:[82, 41, 36, 20], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [36, 20, 2] Generated Node #2: [36, 20, 2] from Operation: 82/41=2 Current State: 26:[36, 20, 2], Operations: ['82/41=2'] Exploring Operation: 20/2=10, Resulting Numbers: [36, 10] Generated Node #3: [36, 10] from Operation: 20/2=10 Current State: 26:[36, 10], Operations: ['82/41=2', '20/2=10'] Exploring Operation: 36-10=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 3, 96, 62, 70 ]
85
[ "96-3=93", "70-62=8", "93-8=85" ]
Current State: 85:[3, 96, 62, 70], Operations: [] Exploring Operation: 96-3=93, Resulting Numbers: [62, 70, 93] Generated Node #2: [62, 70, 93] from Operation: 96-3=93 Current State: 85:[62, 70, 93], Operations: ['96-3=93'] Exploring Operation: 70-62=8, Resulting Numbers: [93, 8] Generated Node #3: [93, 8] from Operation: 70-62=8 Current State: 85:[93, 8], Operations: ['96-3=93', '70-62=8'] Exploring Operation: 93-8=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 80, 32, 4, 70 ]
24
[ "32*70=2240", "2240/80=28", "28-4=24" ]
Current State: 24:[80, 32, 4, 70], Operations: [] Exploring Operation: 32*70=2240, Resulting Numbers: [80, 4, 2240] Generated Node #2: [80, 4, 2240] from Operation: 32*70=2240 Current State: 24:[80, 4, 2240], Operations: ['32*70=2240'] Exploring Operation: 2240/80=28, Resulting Numbers: [4, 28] Generated Node #3: [4, 28] from Operation: 2240/80=28 Current State: 24:[4, 28], Operations: ['32*70=2240', '2240/80=28'] Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 48, 73, 80, 31 ]
73
[ "80-48=32", "32-31=1", "73*1=73" ]
Current State: 73:[48, 73, 80, 31], Operations: [] Exploring Operation: 80-48=32, Resulting Numbers: [73, 31, 32] Generated Node #2: [73, 31, 32] from Operation: 80-48=32 Current State: 73:[73, 31, 32], Operations: ['80-48=32'] Exploring Operation: 32-31=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 32-31=1 Current State: 73:[73, 1], Operations: ['80-48=32', '32-31=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 85, 11, 97, 8 ]
44
[ "97-85=12", "12-8=4", "11*4=44" ]
Current State: 44:[85, 11, 97, 8], Operations: [] Exploring Operation: 97-85=12, Resulting Numbers: [11, 8, 12] Generated Node #2: [11, 8, 12] from Operation: 97-85=12 Current State: 44:[11, 8, 12], Operations: ['97-85=12'] Exploring Operation: 12-8=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 12-8=4 Current State: 44:[11, 4], Operations: ['97-85=12', '12-8=4'] Exploring Operation: 11*4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 34, 2, 48, 83 ]
33
[ "34*2=68", "83-48=35", "68-35=33" ]
Current State: 33:[34, 2, 48, 83], Operations: [] Exploring Operation: 34*2=68, Resulting Numbers: [48, 83, 68] Generated Node #2: [48, 83, 68] from Operation: 34*2=68 Current State: 33:[48, 83, 68], Operations: ['34*2=68'] Exploring Operation: 83-48=35, Resulting Numbers: [68, 35] Generated Node #3: [68, 35] from Operation: 83-48=35 Current State: 33:[68, 35], Operations: ['34*2=68', '83-48=35'] Exploring Operation: 68-35=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 16, 31, 3, 41 ]
18
[ "16+31=47", "47-41=6", "3*6=18" ]
Current State: 18:[16, 31, 3, 41], Operations: [] Exploring Operation: 16+31=47, Resulting Numbers: [3, 41, 47] Generated Node #2: [3, 41, 47] from Operation: 16+31=47 Current State: 18:[3, 41, 47], Operations: ['16+31=47'] Exploring Operation: 47-41=6, Resulting Numbers: [3, 6] Generated Node #3: [3, 6] from Operation: 47-41=6 Current State: 18:[3, 6], Operations: ['16+31=47', '47-41=6'] Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 39, 95, 37, 84 ]
22
[ "39-37=2", "95-84=11", "2*11=22" ]
Current State: 22:[39, 95, 37, 84], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [95, 84, 2] Generated Node #2: [95, 84, 2] from Operation: 39-37=2 Current State: 22:[95, 84, 2], Operations: ['39-37=2'] Exploring Operation: 95-84=11, Resulting Numbers: [2, 11] Generated Node #3: [2, 11] from Operation: 95-84=11 Current State: 22:[2, 11], Operations: ['39-37=2', '95-84=11'] Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 95, 4, 85, 85 ]
100
[ "95+4=99", "85/85=1", "99+1=100" ]
Current State: 100:[95, 4, 85, 85], Operations: [] Exploring Operation: 95+4=99, Resulting Numbers: [85, 85, 99] Generated Node #2: [85, 85, 99] from Operation: 95+4=99 Current State: 100:[85, 85, 99], Operations: ['95+4=99'] Exploring Operation: 85/85=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 85/85=1 Current State: 100:[99, 1], Operations: ['95+4=99', '85/85=1'] Exploring Operation: 99+1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 17, 10, 60, 58 ]
14
[ "17-10=7", "60-58=2", "7*2=14" ]
Current State: 14:[17, 10, 60, 58], Operations: [] Exploring Operation: 17-10=7, Resulting Numbers: [60, 58, 7] Generated Node #2: [60, 58, 7] from Operation: 17-10=7 Current State: 14:[60, 58, 7], Operations: ['17-10=7'] Exploring Operation: 60-58=2, Resulting Numbers: [7, 2] Generated Node #3: [7, 2] from Operation: 60-58=2 Current State: 14:[7, 2], Operations: ['17-10=7', '60-58=2'] Exploring Operation: 7*2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 13, 92, 79, 53 ]
54
[ "92-13=79", "79/79=1", "53+1=54" ]
Current State: 54:[13, 92, 79, 53], Operations: [] Exploring Operation: 92-13=79, Resulting Numbers: [79, 53, 79] Generated Node #2: [79, 53, 79] from Operation: 92-13=79 Current State: 54:[79, 53, 79], Operations: ['92-13=79'] Exploring Operation: 79/79=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 79/79=1 Current State: 54:[53, 1], Operations: ['92-13=79', '79/79=1'] Exploring Operation: 53+1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 52, 68, 20, 15 ]
90
[ "52+68=120", "120/20=6", "15*6=90" ]
Current State: 90:[52, 68, 20, 15], Operations: [] Exploring Operation: 52+68=120, Resulting Numbers: [20, 15, 120] Generated Node #2: [20, 15, 120] from Operation: 52+68=120 Current State: 90:[20, 15, 120], Operations: ['52+68=120'] Exploring Operation: 120/20=6, Resulting Numbers: [15, 6] Generated Node #3: [15, 6] from Operation: 120/20=6 Current State: 90:[15, 6], Operations: ['52+68=120', '120/20=6'] Exploring Operation: 15*6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 73, 4, 49, 69 ]
78
[ "69-49=20", "20/4=5", "73+5=78" ]
Current State: 78:[73, 4, 49, 69], Operations: [] Exploring Operation: 69-49=20, Resulting Numbers: [73, 4, 20] Generated Node #2: [73, 4, 20] from Operation: 69-49=20 Current State: 78:[73, 4, 20], Operations: ['69-49=20'] Exploring Operation: 20/4=5, Resulting Numbers: [73, 5] Generated Node #3: [73, 5] from Operation: 20/4=5 Current State: 78:[73, 5], Operations: ['69-49=20', '20/4=5'] Exploring Operation: 73+5=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 38, 30, 48, 52 ]
51
[ "38+52=90", "90/30=3", "48+3=51" ]
Current State: 51:[38, 30, 48, 52], Operations: [] Exploring Operation: 38+52=90, Resulting Numbers: [30, 48, 90] Generated Node #2: [30, 48, 90] from Operation: 38+52=90 Current State: 51:[30, 48, 90], Operations: ['38+52=90'] Exploring Operation: 90/30=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 90/30=3 Current State: 51:[48, 3], Operations: ['38+52=90', '90/30=3'] Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 17, 16, 46, 98 ]
26
[ "46+98=144", "144/16=9", "17+9=26" ]
Current State: 26:[17, 16, 46, 98], Operations: [] Exploring Operation: 46+98=144, Resulting Numbers: [17, 16, 144] Generated Node #2: [17, 16, 144] from Operation: 46+98=144 Current State: 26:[17, 16, 144], Operations: ['46+98=144'] Exploring Operation: 144/16=9, Resulting Numbers: [17, 9] Generated Node #3: [17, 9] from Operation: 144/16=9 Current State: 26:[17, 9], Operations: ['46+98=144', '144/16=9'] Exploring Operation: 17+9=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 64, 11, 19, 49 ]
15
[ "64-11=53", "19+49=68", "68-53=15" ]
Current State: 15:[64, 11, 19, 49], Operations: [] Exploring Operation: 64-11=53, Resulting Numbers: [19, 49, 53] Generated Node #2: [19, 49, 53] from Operation: 64-11=53 Current State: 15:[19, 49, 53], Operations: ['64-11=53'] Exploring Operation: 19+49=68, Resulting Numbers: [53, 68] Generated Node #3: [53, 68] from Operation: 19+49=68 Current State: 15:[53, 68], Operations: ['64-11=53', '19+49=68'] Exploring Operation: 68-53=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 43, 22, 27, 26 ]
87
[ "27-22=5", "26*5=130", "130-43=87" ]
Current State: 87:[43, 22, 27, 26], Operations: [] Exploring Operation: 27-22=5, Resulting Numbers: [43, 26, 5] Generated Node #2: [43, 26, 5] from Operation: 27-22=5 Current State: 87:[43, 26, 5], Operations: ['27-22=5'] Exploring Operation: 26*5=130, Resulting Numbers: [43, 130] Generated Node #3: [43, 130] from Operation: 26*5=130 Current State: 87:[43, 130], Operations: ['27-22=5', '26*5=130'] Exploring Operation: 130-43=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 96, 6, 75, 52 ]
42
[ "75-52=23", "6*23=138", "138-96=42" ]
Current State: 42:[96, 6, 75, 52], Operations: [] Exploring Operation: 75-52=23, Resulting Numbers: [96, 6, 23] Generated Node #2: [96, 6, 23] from Operation: 75-52=23 Current State: 42:[96, 6, 23], Operations: ['75-52=23'] Exploring Operation: 6*23=138, Resulting Numbers: [96, 138] Generated Node #3: [96, 138] from Operation: 6*23=138 Current State: 42:[96, 138], Operations: ['75-52=23', '6*23=138'] Exploring Operation: 138-96=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 70, 13, 91, 80 ]
91
[ "13+91=104", "70*104=7280", "7280/80=91" ]
Current State: 91:[70, 13, 91, 80], Operations: [] Exploring Operation: 13+91=104, Resulting Numbers: [70, 80, 104] Generated Node #2: [70, 80, 104] from Operation: 13+91=104 Current State: 91:[70, 80, 104], Operations: ['13+91=104'] Exploring Operation: 70*104=7280, Resulting Numbers: [80, 7280] Generated Node #3: [80, 7280] from Operation: 70*104=7280 Current State: 91:[80, 7280], Operations: ['13+91=104', '70*104=7280'] Exploring Operation: 7280/80=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 32, 70, 58, 33 ]
37
[ "70+58=128", "128/32=4", "33+4=37" ]
Current State: 37:[32, 70, 58, 33], Operations: [] Exploring Operation: 70+58=128, Resulting Numbers: [32, 33, 128] Generated Node #2: [32, 33, 128] from Operation: 70+58=128 Current State: 37:[32, 33, 128], Operations: ['70+58=128'] Exploring Operation: 128/32=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 128/32=4 Current State: 37:[33, 4], Operations: ['70+58=128', '128/32=4'] Exploring Operation: 33+4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4