Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 13, 77, 11, 37 ]
43
[ "13+37=50", "77/11=7", "50-7=43" ]
Current State: 43:[13, 77, 11, 37], Operations: [] Exploring Operation: 13+37=50, Resulting Numbers: [77, 11, 50] Generated Node #2: [77, 11, 50] from Operation: 13+37=50 Current State: 43:[77, 11, 50], Operations: ['13+37=50'] Exploring Operation: 77/11=7, Resulting Numbers: [50, 7] Generated Node #3: [50, 7] from Operation: 77/11=7 Current State: 43:[50, 7], Operations: ['13+37=50', '77/11=7'] Exploring Operation: 50-7=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 16, 75, 94, 49 ]
14
[ "75-16=59", "94-49=45", "59-45=14" ]
Current State: 14:[16, 75, 94, 49], Operations: [] Exploring Operation: 75-16=59, Resulting Numbers: [94, 49, 59] Generated Node #2: [94, 49, 59] from Operation: 75-16=59 Current State: 14:[94, 49, 59], Operations: ['75-16=59'] Exploring Operation: 94-49=45, Resulting Numbers: [59, 45] Generated Node #3: [59, 45] from Operation: 94-49=45 Current State: 14:[59, 45], Operations: ['75-16=59', '94-49=45'] Exploring Operation: 59-45=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 90, 29, 68, 92 ]
18
[ "29+68=97", "97-92=5", "90/5=18" ]
Current State: 18:[90, 29, 68, 92], Operations: [] Exploring Operation: 29+68=97, Resulting Numbers: [90, 92, 97] Generated Node #2: [90, 92, 97] from Operation: 29+68=97 Current State: 18:[90, 92, 97], Operations: ['29+68=97'] Exploring Operation: 97-92=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 97-92=5 Current State: 18:[90, 5], Operations: ['29+68=97', '97-92=5'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 46, 27, 16, 45 ]
23
[ "27+16=43", "45-43=2", "46/2=23" ]
Current State: 23:[46, 27, 16, 45], Operations: [] Exploring Operation: 27+16=43, Resulting Numbers: [46, 45, 43] Generated Node #2: [46, 45, 43] from Operation: 27+16=43 Current State: 23:[46, 45, 43], Operations: ['27+16=43'] Exploring Operation: 45-43=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 45-43=2 Current State: 23:[46, 2], Operations: ['27+16=43', '45-43=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 25, 36, 3, 53 ]
40
[ "53-25=28", "36/3=12", "28+12=40" ]
Current State: 40:[25, 36, 3, 53], Operations: [] Exploring Operation: 53-25=28, Resulting Numbers: [36, 3, 28] Generated Node #2: [36, 3, 28] from Operation: 53-25=28 Current State: 40:[36, 3, 28], Operations: ['53-25=28'] Exploring Operation: 36/3=12, Resulting Numbers: [28, 12] Generated Node #3: [28, 12] from Operation: 36/3=12 Current State: 40:[28, 12], Operations: ['53-25=28', '36/3=12'] Exploring Operation: 28+12=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 18, 12, 58, 14 ]
94
[ "14-12=2", "18*2=36", "58+36=94" ]
Current State: 94:[18, 12, 58, 14], Operations: [] Exploring Operation: 14-12=2, Resulting Numbers: [18, 58, 2] Generated Node #2: [18, 58, 2] from Operation: 14-12=2 Current State: 94:[18, 58, 2], Operations: ['14-12=2'] Exploring Operation: 18*2=36, Resulting Numbers: [58, 36] Generated Node #3: [58, 36] from Operation: 18*2=36 Current State: 94:[58, 36], Operations: ['14-12=2', '18*2=36'] Exploring Operation: 58+36=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 84, 11, 48, 63 ]
88
[ "84-11=73", "63-48=15", "73+15=88" ]
Current State: 88:[84, 11, 48, 63], Operations: [] Exploring Operation: 84-11=73, Resulting Numbers: [48, 63, 73] Generated Node #2: [48, 63, 73] from Operation: 84-11=73 Current State: 88:[48, 63, 73], Operations: ['84-11=73'] Exploring Operation: 63-48=15, Resulting Numbers: [73, 15] Generated Node #3: [73, 15] from Operation: 63-48=15 Current State: 88:[73, 15], Operations: ['84-11=73', '63-48=15'] Exploring Operation: 73+15=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 1, 93, 37, 2 ]
58
[ "1*93=93", "37-2=35", "93-35=58" ]
Current State: 58:[1, 93, 37, 2], Operations: [] Exploring Operation: 1*93=93, Resulting Numbers: [37, 2, 93] Generated Node #2: [37, 2, 93] from Operation: 1*93=93 Current State: 58:[37, 2, 93], Operations: ['1*93=93'] Exploring Operation: 37-2=35, Resulting Numbers: [93, 35] Generated Node #3: [93, 35] from Operation: 37-2=35 Current State: 58:[93, 35], Operations: ['1*93=93', '37-2=35'] Exploring Operation: 93-35=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 61, 10, 32, 39 ]
42
[ "61+39=100", "100/10=10", "32+10=42" ]
Current State: 42:[61, 10, 32, 39], Operations: [] Exploring Operation: 61+39=100, Resulting Numbers: [10, 32, 100] Generated Node #2: [10, 32, 100] from Operation: 61+39=100 Current State: 42:[10, 32, 100], Operations: ['61+39=100'] Exploring Operation: 100/10=10, Resulting Numbers: [32, 10] Generated Node #3: [32, 10] from Operation: 100/10=10 Current State: 42:[32, 10], Operations: ['61+39=100', '100/10=10'] Exploring Operation: 32+10=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 47, 1, 7, 13 ]
54
[ "47+1=48", "13-7=6", "48+6=54" ]
Current State: 54:[47, 1, 7, 13], Operations: [] Exploring Operation: 47+1=48, Resulting Numbers: [7, 13, 48] Generated Node #2: [7, 13, 48] from Operation: 47+1=48 Current State: 54:[7, 13, 48], Operations: ['47+1=48'] Exploring Operation: 13-7=6, Resulting Numbers: [48, 6] Generated Node #3: [48, 6] from Operation: 13-7=6 Current State: 54:[48, 6], Operations: ['47+1=48', '13-7=6'] Exploring Operation: 48+6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 94, 23, 66, 41 ]
10
[ "94+23=117", "66+41=107", "117-107=10" ]
Current State: 10:[94, 23, 66, 41], Operations: [] Exploring Operation: 94+23=117, Resulting Numbers: [66, 41, 117] Generated Node #2: [66, 41, 117] from Operation: 94+23=117 Current State: 10:[66, 41, 117], Operations: ['94+23=117'] Exploring Operation: 66+41=107, Resulting Numbers: [117, 107] Generated Node #3: [117, 107] from Operation: 66+41=107 Current State: 10:[117, 107], Operations: ['94+23=117', '66+41=107'] Exploring Operation: 117-107=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 14, 31, 18, 32 ]
92
[ "18-14=4", "31*4=124", "124-32=92" ]
Current State: 92:[14, 31, 18, 32], Operations: [] Exploring Operation: 18-14=4, Resulting Numbers: [31, 32, 4] Generated Node #2: [31, 32, 4] from Operation: 18-14=4 Current State: 92:[31, 32, 4], Operations: ['18-14=4'] Exploring Operation: 31*4=124, Resulting Numbers: [32, 124] Generated Node #3: [32, 124] from Operation: 31*4=124 Current State: 92:[32, 124], Operations: ['18-14=4', '31*4=124'] Exploring Operation: 124-32=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 81, 3, 97, 79 ]
92
[ "81+3=84", "97+79=176", "176-84=92" ]
Current State: 92:[81, 3, 97, 79], Operations: [] Exploring Operation: 81+3=84, Resulting Numbers: [97, 79, 84] Generated Node #2: [97, 79, 84] from Operation: 81+3=84 Current State: 92:[97, 79, 84], Operations: ['81+3=84'] Exploring Operation: 97+79=176, Resulting Numbers: [84, 176] Generated Node #3: [84, 176] from Operation: 97+79=176 Current State: 92:[84, 176], Operations: ['81+3=84', '97+79=176'] Exploring Operation: 176-84=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 27, 87, 29, 38 ]
62
[ "27+38=65", "87/29=3", "65-3=62" ]
Current State: 62:[27, 87, 29, 38], Operations: [] Exploring Operation: 27+38=65, Resulting Numbers: [87, 29, 65] Generated Node #2: [87, 29, 65] from Operation: 27+38=65 Current State: 62:[87, 29, 65], Operations: ['27+38=65'] Exploring Operation: 87/29=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 87/29=3 Current State: 62:[65, 3], Operations: ['27+38=65', '87/29=3'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 32, 2, 5, 96 ]
22
[ "32+5=37", "2*37=74", "96-74=22" ]
Current State: 22:[32, 2, 5, 96], Operations: [] Exploring Operation: 32+5=37, Resulting Numbers: [2, 96, 37] Generated Node #2: [2, 96, 37] from Operation: 32+5=37 Current State: 22:[2, 96, 37], Operations: ['32+5=37'] Exploring Operation: 2*37=74, Resulting Numbers: [96, 74] Generated Node #3: [96, 74] from Operation: 2*37=74 Current State: 22:[96, 74], Operations: ['32+5=37', '2*37=74'] Exploring Operation: 96-74=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 98, 3, 66, 19 ]
27
[ "98+19=117", "117/3=39", "66-39=27" ]
Current State: 27:[98, 3, 66, 19], Operations: [] Exploring Operation: 98+19=117, Resulting Numbers: [3, 66, 117] Generated Node #2: [3, 66, 117] from Operation: 98+19=117 Current State: 27:[3, 66, 117], Operations: ['98+19=117'] Exploring Operation: 117/3=39, Resulting Numbers: [66, 39] Generated Node #3: [66, 39] from Operation: 117/3=39 Current State: 27:[66, 39], Operations: ['98+19=117', '117/3=39'] Exploring Operation: 66-39=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 68, 72, 39, 56 ]
91
[ "72-68=4", "39+56=95", "95-4=91" ]
Current State: 91:[68, 72, 39, 56], Operations: [] Exploring Operation: 72-68=4, Resulting Numbers: [39, 56, 4] Generated Node #2: [39, 56, 4] from Operation: 72-68=4 Current State: 91:[39, 56, 4], Operations: ['72-68=4'] Exploring Operation: 39+56=95, Resulting Numbers: [4, 95] Generated Node #3: [4, 95] from Operation: 39+56=95 Current State: 91:[4, 95], Operations: ['72-68=4', '39+56=95'] Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 3, 4, 31, 37 ]
60
[ "3*31=93", "37-4=33", "93-33=60" ]
Current State: 60:[3, 4, 31, 37], Operations: [] Exploring Operation: 3*31=93, Resulting Numbers: [4, 37, 93] Generated Node #2: [4, 37, 93] from Operation: 3*31=93 Current State: 60:[4, 37, 93], Operations: ['3*31=93'] Exploring Operation: 37-4=33, Resulting Numbers: [93, 33] Generated Node #3: [93, 33] from Operation: 37-4=33 Current State: 60:[93, 33], Operations: ['3*31=93', '37-4=33'] Exploring Operation: 93-33=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 89, 64, 64, 65 ]
65
[ "64-64=0", "89*0=0", "65+0=65" ]
Current State: 65:[89, 64, 64, 65], Operations: [] Exploring Operation: 64-64=0, Resulting Numbers: [89, 65, 0] Generated Node #2: [89, 65, 0] from Operation: 64-64=0 Current State: 65:[89, 65, 0], Operations: ['64-64=0'] Exploring Operation: 89*0=0, Resulting Numbers: [65, 0] Generated Node #3: [65, 0] from Operation: 89*0=0 Current State: 65:[65, 0], Operations: ['64-64=0', '89*0=0'] Exploring Operation: 65+0=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 64, 27, 39, 90 ]
45
[ "64-27=37", "39-37=2", "90/2=45" ]
Current State: 45:[64, 27, 39, 90], Operations: [] Exploring Operation: 64-27=37, Resulting Numbers: [39, 90, 37] Generated Node #2: [39, 90, 37] from Operation: 64-27=37 Current State: 45:[39, 90, 37], Operations: ['64-27=37'] Exploring Operation: 39-37=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 39-37=2 Current State: 45:[90, 2], Operations: ['64-27=37', '39-37=2'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 2, 50, 43, 48 ]
31
[ "48/2=24", "50-43=7", "24+7=31" ]
Current State: 31:[2, 50, 43, 48], Operations: [] Exploring Operation: 48/2=24, Resulting Numbers: [50, 43, 24] Generated Node #2: [50, 43, 24] from Operation: 48/2=24 Current State: 31:[50, 43, 24], Operations: ['48/2=24'] Exploring Operation: 50-43=7, Resulting Numbers: [24, 7] Generated Node #3: [24, 7] from Operation: 50-43=7 Current State: 31:[24, 7], Operations: ['48/2=24', '50-43=7'] Exploring Operation: 24+7=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 94, 40, 20, 3 ]
50
[ "94*20=1880", "1880/40=47", "3+47=50" ]
Current State: 50:[94, 40, 20, 3], Operations: [] Exploring Operation: 94*20=1880, Resulting Numbers: [40, 3, 1880] Generated Node #2: [40, 3, 1880] from Operation: 94*20=1880 Current State: 50:[40, 3, 1880], Operations: ['94*20=1880'] Exploring Operation: 1880/40=47, Resulting Numbers: [3, 47] Generated Node #3: [3, 47] from Operation: 1880/40=47 Current State: 50:[3, 47], Operations: ['94*20=1880', '1880/40=47'] Exploring Operation: 3+47=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 74, 23, 30, 6 ]
92
[ "74+23=97", "30/6=5", "97-5=92" ]
Current State: 92:[74, 23, 30, 6], Operations: [] Exploring Operation: 74+23=97, Resulting Numbers: [30, 6, 97] Generated Node #2: [30, 6, 97] from Operation: 74+23=97 Current State: 92:[30, 6, 97], Operations: ['74+23=97'] Exploring Operation: 30/6=5, Resulting Numbers: [97, 5] Generated Node #3: [97, 5] from Operation: 30/6=5 Current State: 92:[97, 5], Operations: ['74+23=97', '30/6=5'] Exploring Operation: 97-5=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 91, 7, 82, 9 ]
88
[ "91-82=9", "9*9=81", "7+81=88" ]
Current State: 88:[91, 7, 82, 9], Operations: [] Exploring Operation: 91-82=9, Resulting Numbers: [7, 9, 9] Generated Node #2: [7, 9, 9] from Operation: 91-82=9 Current State: 88:[7, 9, 9], Operations: ['91-82=9'] Exploring Operation: 9*9=81, Resulting Numbers: [7, 81] Generated Node #3: [7, 81] from Operation: 9*9=81 Current State: 88:[7, 81], Operations: ['91-82=9', '9*9=81'] Exploring Operation: 7+81=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 5, 56, 74, 21 ]
44
[ "56-5=51", "74+21=95", "95-51=44" ]
Current State: 44:[5, 56, 74, 21], Operations: [] Exploring Operation: 56-5=51, Resulting Numbers: [74, 21, 51] Generated Node #2: [74, 21, 51] from Operation: 56-5=51 Current State: 44:[74, 21, 51], Operations: ['56-5=51'] Exploring Operation: 74+21=95, Resulting Numbers: [51, 95] Generated Node #3: [51, 95] from Operation: 74+21=95 Current State: 44:[51, 95], Operations: ['56-5=51', '74+21=95'] Exploring Operation: 95-51=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 64, 79, 78, 41 ]
24
[ "64+79=143", "78+41=119", "143-119=24" ]
Current State: 24:[64, 79, 78, 41], Operations: [] Exploring Operation: 64+79=143, Resulting Numbers: [78, 41, 143] Generated Node #2: [78, 41, 143] from Operation: 64+79=143 Current State: 24:[78, 41, 143], Operations: ['64+79=143'] Exploring Operation: 78+41=119, Resulting Numbers: [143, 119] Generated Node #3: [143, 119] from Operation: 78+41=119 Current State: 24:[143, 119], Operations: ['64+79=143', '78+41=119'] Exploring Operation: 143-119=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 17, 73, 83, 85 ]
58
[ "73-17=56", "85-83=2", "56+2=58" ]
Current State: 58:[17, 73, 83, 85], Operations: [] Exploring Operation: 73-17=56, Resulting Numbers: [83, 85, 56] Generated Node #2: [83, 85, 56] from Operation: 73-17=56 Current State: 58:[83, 85, 56], Operations: ['73-17=56'] Exploring Operation: 85-83=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 85-83=2 Current State: 58:[56, 2], Operations: ['73-17=56', '85-83=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 60, 67, 61, 44 ]
24
[ "67-60=7", "61-44=17", "7+17=24" ]
Current State: 24:[60, 67, 61, 44], Operations: [] Exploring Operation: 67-60=7, Resulting Numbers: [61, 44, 7] Generated Node #2: [61, 44, 7] from Operation: 67-60=7 Current State: 24:[61, 44, 7], Operations: ['67-60=7'] Exploring Operation: 61-44=17, Resulting Numbers: [7, 17] Generated Node #3: [7, 17] from Operation: 61-44=17 Current State: 24:[7, 17], Operations: ['67-60=7', '61-44=17'] Exploring Operation: 7+17=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 40, 50, 32, 56 ]
34
[ "50-40=10", "56-32=24", "10+24=34" ]
Current State: 34:[40, 50, 32, 56], Operations: [] Exploring Operation: 50-40=10, Resulting Numbers: [32, 56, 10] Generated Node #2: [32, 56, 10] from Operation: 50-40=10 Current State: 34:[32, 56, 10], Operations: ['50-40=10'] Exploring Operation: 56-32=24, Resulting Numbers: [10, 24] Generated Node #3: [10, 24] from Operation: 56-32=24 Current State: 34:[10, 24], Operations: ['50-40=10', '56-32=24'] Exploring Operation: 10+24=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 54, 13, 84, 95 ]
30
[ "54-13=41", "95-84=11", "41-11=30" ]
Current State: 30:[54, 13, 84, 95], Operations: [] Exploring Operation: 54-13=41, Resulting Numbers: [84, 95, 41] Generated Node #2: [84, 95, 41] from Operation: 54-13=41 Current State: 30:[84, 95, 41], Operations: ['54-13=41'] Exploring Operation: 95-84=11, Resulting Numbers: [41, 11] Generated Node #3: [41, 11] from Operation: 95-84=11 Current State: 30:[41, 11], Operations: ['54-13=41', '95-84=11'] Exploring Operation: 41-11=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 30, 5, 25, 12 ]
12
[ "30-5=25", "25+12=37", "37-25=12" ]
Current State: 12:[30, 5, 25, 12], Operations: [] Exploring Operation: 30-5=25, Resulting Numbers: [25, 12, 25] Generated Node #2: [25, 12, 25] from Operation: 30-5=25 Current State: 12:[25, 12, 25], Operations: ['30-5=25'] Exploring Operation: 25+12=37, Resulting Numbers: [37] 37,12 equal: Goal Reached Exploring Operation: 37-25=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 6, 33, 92, 7 ]
18
[ "92+7=99", "6*99=594", "594/33=18" ]
Current State: 18:[6, 33, 92, 7], Operations: [] Exploring Operation: 92+7=99, Resulting Numbers: [6, 33, 99] Generated Node #2: [6, 33, 99] from Operation: 92+7=99 Current State: 18:[6, 33, 99], Operations: ['92+7=99'] Exploring Operation: 6*99=594, Resulting Numbers: [33, 594] Generated Node #3: [33, 594] from Operation: 6*99=594 Current State: 18:[33, 594], Operations: ['92+7=99', '6*99=594'] Exploring Operation: 594/33=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 19, 66, 47, 43 ]
43
[ "66-19=47", "47+43=90", "90-47=43" ]
Current State: 43:[19, 66, 47, 43], Operations: [] Exploring Operation: 66-19=47, Resulting Numbers: [47, 43, 47] Generated Node #2: [47, 43, 47] from Operation: 66-19=47 Current State: 43:[47, 43, 47], Operations: ['66-19=47'] Exploring Operation: 47+43=90, Resulting Numbers: [90] 90,43 equal: Goal Reached Exploring Operation: 90-47=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 94, 25, 46, 27 ]
18
[ "94-25=69", "46*27=1242", "1242/69=18" ]
Current State: 18:[94, 25, 46, 27], Operations: [] Exploring Operation: 94-25=69, Resulting Numbers: [46, 27, 69] Generated Node #2: [46, 27, 69] from Operation: 94-25=69 Current State: 18:[46, 27, 69], Operations: ['94-25=69'] Exploring Operation: 46*27=1242, Resulting Numbers: [69, 1242] Generated Node #3: [69, 1242] from Operation: 46*27=1242 Current State: 18:[69, 1242], Operations: ['94-25=69', '46*27=1242'] Exploring Operation: 1242/69=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 19, 34, 58, 76 ]
88
[ "76/19=4", "34+58=92", "92-4=88" ]
Current State: 88:[19, 34, 58, 76], Operations: [] Exploring Operation: 76/19=4, Resulting Numbers: [34, 58, 4] Generated Node #2: [34, 58, 4] from Operation: 76/19=4 Current State: 88:[34, 58, 4], Operations: ['76/19=4'] Exploring Operation: 34+58=92, Resulting Numbers: [4, 92] Generated Node #3: [4, 92] from Operation: 34+58=92 Current State: 88:[4, 92], Operations: ['76/19=4', '34+58=92'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 57, 53, 45, 3 ]
79
[ "57/3=19", "53+45=98", "98-19=79" ]
Current State: 79:[57, 53, 45, 3], Operations: [] Exploring Operation: 57/3=19, Resulting Numbers: [53, 45, 19] Generated Node #2: [53, 45, 19] from Operation: 57/3=19 Current State: 79:[53, 45, 19], Operations: ['57/3=19'] Exploring Operation: 53+45=98, Resulting Numbers: [19, 98] Generated Node #3: [19, 98] from Operation: 53+45=98 Current State: 79:[19, 98], Operations: ['57/3=19', '53+45=98'] Exploring Operation: 98-19=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 8, 55, 61, 76 ]
24
[ "55+61=116", "76+116=192", "192/8=24" ]
Current State: 24:[8, 55, 61, 76], Operations: [] Exploring Operation: 55+61=116, Resulting Numbers: [8, 76, 116] Generated Node #2: [8, 76, 116] from Operation: 55+61=116 Current State: 24:[8, 76, 116], Operations: ['55+61=116'] Exploring Operation: 76+116=192, Resulting Numbers: [8, 192] Generated Node #3: [8, 192] from Operation: 76+116=192 Current State: 24:[8, 192], Operations: ['55+61=116', '76+116=192'] Exploring Operation: 192/8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 10, 10, 59, 80 ]
59
[ "10-10=0", "80*0=0", "59+0=59" ]
Current State: 59:[10, 10, 59, 80], Operations: [] Exploring Operation: 10-10=0, Resulting Numbers: [59, 80, 0] Generated Node #2: [59, 80, 0] from Operation: 10-10=0 Current State: 59:[59, 80, 0], Operations: ['10-10=0'] Exploring Operation: 80*0=0, Resulting Numbers: [59, 0] Generated Node #3: [59, 0] from Operation: 80*0=0 Current State: 59:[59, 0], Operations: ['10-10=0', '80*0=0'] Exploring Operation: 59+0=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 82, 47, 3, 28 ]
94
[ "3*28=84", "84-82=2", "47*2=94" ]
Current State: 94:[82, 47, 3, 28], Operations: [] Exploring Operation: 3*28=84, Resulting Numbers: [82, 47, 84] Generated Node #2: [82, 47, 84] from Operation: 3*28=84 Current State: 94:[82, 47, 84], Operations: ['3*28=84'] Exploring Operation: 84-82=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 84-82=2 Current State: 94:[47, 2], Operations: ['3*28=84', '84-82=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 75, 35, 1, 23 ]
16
[ "75-35=40", "1+23=24", "40-24=16" ]
Current State: 16:[75, 35, 1, 23], Operations: [] Exploring Operation: 75-35=40, Resulting Numbers: [1, 23, 40] Generated Node #2: [1, 23, 40] from Operation: 75-35=40 Current State: 16:[1, 23, 40], Operations: ['75-35=40'] Exploring Operation: 1+23=24, Resulting Numbers: [40, 24] Generated Node #3: [40, 24] from Operation: 1+23=24 Current State: 16:[40, 24], Operations: ['75-35=40', '1+23=24'] Exploring Operation: 40-24=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 19, 84, 3, 86 ]
25
[ "86-84=2", "3*2=6", "19+6=25" ]
Current State: 25:[19, 84, 3, 86], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [19, 3, 2] Generated Node #2: [19, 3, 2] from Operation: 86-84=2 Current State: 25:[19, 3, 2], Operations: ['86-84=2'] Exploring Operation: 3*2=6, Resulting Numbers: [19, 6] Generated Node #3: [19, 6] from Operation: 3*2=6 Current State: 25:[19, 6], Operations: ['86-84=2', '3*2=6'] Exploring Operation: 19+6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 27, 5, 32, 5 ]
50
[ "27-5=22", "32-22=10", "5*10=50" ]
Current State: 50:[27, 5, 32, 5], Operations: [] Exploring Operation: 27-5=22, Resulting Numbers: [32, 22] Generated Node #2: [32, 22] from Operation: 27-5=22 Current State: 50:[32, 22], Operations: ['27-5=22'] Exploring Operation: 32-22=10, Resulting Numbers: [10] 10,50 equal: Goal Reached Exploring Operation: 5*10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 28, 90, 86, 2 ]
56
[ "28/2=14", "90-86=4", "14*4=56" ]
Current State: 56:[28, 90, 86, 2], Operations: [] Exploring Operation: 28/2=14, Resulting Numbers: [90, 86, 14] Generated Node #2: [90, 86, 14] from Operation: 28/2=14 Current State: 56:[90, 86, 14], Operations: ['28/2=14'] Exploring Operation: 90-86=4, Resulting Numbers: [14, 4] Generated Node #3: [14, 4] from Operation: 90-86=4 Current State: 56:[14, 4], Operations: ['28/2=14', '90-86=4'] Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 52, 4, 38, 76 ]
20
[ "52-38=14", "4*14=56", "76-56=20" ]
Current State: 20:[52, 4, 38, 76], Operations: [] Exploring Operation: 52-38=14, Resulting Numbers: [4, 76, 14] Generated Node #2: [4, 76, 14] from Operation: 52-38=14 Current State: 20:[4, 76, 14], Operations: ['52-38=14'] Exploring Operation: 4*14=56, Resulting Numbers: [76, 56] Generated Node #3: [76, 56] from Operation: 4*14=56 Current State: 20:[76, 56], Operations: ['52-38=14', '4*14=56'] Exploring Operation: 76-56=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 50, 88, 78, 39 ]
19
[ "88-50=38", "78/39=2", "38/2=19" ]
Current State: 19:[50, 88, 78, 39], Operations: [] Exploring Operation: 88-50=38, Resulting Numbers: [78, 39, 38] Generated Node #2: [78, 39, 38] from Operation: 88-50=38 Current State: 19:[78, 39, 38], Operations: ['88-50=38'] Exploring Operation: 78/39=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 78/39=2 Current State: 19:[38, 2], Operations: ['88-50=38', '78/39=2'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 52, 29, 32, 41 ]
50
[ "52-29=23", "32+41=73", "73-23=50" ]
Current State: 50:[52, 29, 32, 41], Operations: [] Exploring Operation: 52-29=23, Resulting Numbers: [32, 41, 23] Generated Node #2: [32, 41, 23] from Operation: 52-29=23 Current State: 50:[32, 41, 23], Operations: ['52-29=23'] Exploring Operation: 32+41=73, Resulting Numbers: [23, 73] Generated Node #3: [23, 73] from Operation: 32+41=73 Current State: 50:[23, 73], Operations: ['52-29=23', '32+41=73'] Exploring Operation: 73-23=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 38, 70, 69, 33 ]
72
[ "38+70=108", "69-33=36", "108-36=72" ]
Current State: 72:[38, 70, 69, 33], Operations: [] Exploring Operation: 38+70=108, Resulting Numbers: [69, 33, 108] Generated Node #2: [69, 33, 108] from Operation: 38+70=108 Current State: 72:[69, 33, 108], Operations: ['38+70=108'] Exploring Operation: 69-33=36, Resulting Numbers: [108, 36] Generated Node #3: [108, 36] from Operation: 69-33=36 Current State: 72:[108, 36], Operations: ['38+70=108', '69-33=36'] Exploring Operation: 108-36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 72, 34, 14, 35 ]
13
[ "34*35=1190", "1190/14=85", "85-72=13" ]
Current State: 13:[72, 34, 14, 35], Operations: [] Exploring Operation: 34*35=1190, Resulting Numbers: [72, 14, 1190] Generated Node #2: [72, 14, 1190] from Operation: 34*35=1190 Current State: 13:[72, 14, 1190], Operations: ['34*35=1190'] Exploring Operation: 1190/14=85, Resulting Numbers: [72, 85] Generated Node #3: [72, 85] from Operation: 1190/14=85 Current State: 13:[72, 85], Operations: ['34*35=1190', '1190/14=85'] Exploring Operation: 85-72=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 96, 6, 18, 8 ]
54
[ "96*6=576", "576/8=72", "72-18=54" ]
Current State: 54:[96, 6, 18, 8], Operations: [] Exploring Operation: 96*6=576, Resulting Numbers: [18, 8, 576] Generated Node #2: [18, 8, 576] from Operation: 96*6=576 Current State: 54:[18, 8, 576], Operations: ['96*6=576'] Exploring Operation: 576/8=72, Resulting Numbers: [18, 72] Generated Node #3: [18, 72] from Operation: 576/8=72 Current State: 54:[18, 72], Operations: ['96*6=576', '576/8=72'] Exploring Operation: 72-18=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 65, 93, 59, 5 ]
92
[ "93-65=28", "59+5=64", "28+64=92" ]
Current State: 92:[65, 93, 59, 5], Operations: [] Exploring Operation: 93-65=28, Resulting Numbers: [59, 5, 28] Generated Node #2: [59, 5, 28] from Operation: 93-65=28 Current State: 92:[59, 5, 28], Operations: ['93-65=28'] Exploring Operation: 59+5=64, Resulting Numbers: [28, 64] Generated Node #3: [28, 64] from Operation: 59+5=64 Current State: 92:[28, 64], Operations: ['93-65=28', '59+5=64'] Exploring Operation: 28+64=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 30, 36, 14, 63 ]
55
[ "36-30=6", "63-14=49", "6+49=55" ]
Current State: 55:[30, 36, 14, 63], Operations: [] Exploring Operation: 36-30=6, Resulting Numbers: [14, 63, 6] Generated Node #2: [14, 63, 6] from Operation: 36-30=6 Current State: 55:[14, 63, 6], Operations: ['36-30=6'] Exploring Operation: 63-14=49, Resulting Numbers: [6, 49] Generated Node #3: [6, 49] from Operation: 63-14=49 Current State: 55:[6, 49], Operations: ['36-30=6', '63-14=49'] Exploring Operation: 6+49=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 6, 34, 8, 3 ]
62
[ "8-6=2", "34-3=31", "2*31=62" ]
Current State: 62:[6, 34, 8, 3], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [34, 3, 2] Generated Node #2: [34, 3, 2] from Operation: 8-6=2 Current State: 62:[34, 3, 2], Operations: ['8-6=2'] Exploring Operation: 34-3=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 34-3=31 Current State: 62:[2, 31], Operations: ['8-6=2', '34-3=31'] Exploring Operation: 2*31=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 29, 21, 91, 28 ]
69
[ "29+21=50", "91+28=119", "119-50=69" ]
Current State: 69:[29, 21, 91, 28], Operations: [] Exploring Operation: 29+21=50, Resulting Numbers: [91, 28, 50] Generated Node #2: [91, 28, 50] from Operation: 29+21=50 Current State: 69:[91, 28, 50], Operations: ['29+21=50'] Exploring Operation: 91+28=119, Resulting Numbers: [50, 119] Generated Node #3: [50, 119] from Operation: 91+28=119 Current State: 69:[50, 119], Operations: ['29+21=50', '91+28=119'] Exploring Operation: 119-50=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 47, 9, 4, 18 ]
79
[ "18-4=14", "9*14=126", "126-47=79" ]
Current State: 79:[47, 9, 4, 18], Operations: [] Exploring Operation: 18-4=14, Resulting Numbers: [47, 9, 14] Generated Node #2: [47, 9, 14] from Operation: 18-4=14 Current State: 79:[47, 9, 14], Operations: ['18-4=14'] Exploring Operation: 9*14=126, Resulting Numbers: [47, 126] Generated Node #3: [47, 126] from Operation: 9*14=126 Current State: 79:[47, 126], Operations: ['18-4=14', '9*14=126'] Exploring Operation: 126-47=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 33, 39, 25, 32 ]
66
[ "39+25=64", "33*64=2112", "2112/32=66" ]
Current State: 66:[33, 39, 25, 32], Operations: [] Exploring Operation: 39+25=64, Resulting Numbers: [33, 32, 64] Generated Node #2: [33, 32, 64] from Operation: 39+25=64 Current State: 66:[33, 32, 64], Operations: ['39+25=64'] Exploring Operation: 33*64=2112, Resulting Numbers: [32, 2112] Generated Node #3: [32, 2112] from Operation: 33*64=2112 Current State: 66:[32, 2112], Operations: ['39+25=64', '33*64=2112'] Exploring Operation: 2112/32=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 78, 84, 95, 86 ]
88
[ "86-78=8", "95-84=11", "8*11=88" ]
Current State: 88:[78, 84, 95, 86], Operations: [] Exploring Operation: 86-78=8, Resulting Numbers: [84, 95, 8] Generated Node #2: [84, 95, 8] from Operation: 86-78=8 Current State: 88:[84, 95, 8], Operations: ['86-78=8'] Exploring Operation: 95-84=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 95-84=11 Current State: 88:[8, 11], Operations: ['86-78=8', '95-84=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 16, 88, 34, 36 ]
86
[ "34-16=18", "36/18=2", "88-2=86" ]
Current State: 86:[16, 88, 34, 36], Operations: [] Exploring Operation: 34-16=18, Resulting Numbers: [88, 36, 18] Generated Node #2: [88, 36, 18] from Operation: 34-16=18 Current State: 86:[88, 36, 18], Operations: ['34-16=18'] Exploring Operation: 36/18=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 36/18=2 Current State: 86:[88, 2], Operations: ['34-16=18', '36/18=2'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 20, 3, 22, 55 ]
19
[ "22-20=2", "55+2=57", "57/3=19" ]
Current State: 19:[20, 3, 22, 55], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [3, 55, 2] Generated Node #2: [3, 55, 2] from Operation: 22-20=2 Current State: 19:[3, 55, 2], Operations: ['22-20=2'] Exploring Operation: 55+2=57, Resulting Numbers: [3, 57] Generated Node #3: [3, 57] from Operation: 55+2=57 Current State: 19:[3, 57], Operations: ['22-20=2', '55+2=57'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 99, 47, 17, 24 ]
93
[ "99-47=52", "17+24=41", "52+41=93" ]
Current State: 93:[99, 47, 17, 24], Operations: [] Exploring Operation: 99-47=52, Resulting Numbers: [17, 24, 52] Generated Node #2: [17, 24, 52] from Operation: 99-47=52 Current State: 93:[17, 24, 52], Operations: ['99-47=52'] Exploring Operation: 17+24=41, Resulting Numbers: [52, 41] Generated Node #3: [52, 41] from Operation: 17+24=41 Current State: 93:[52, 41], Operations: ['99-47=52', '17+24=41'] Exploring Operation: 52+41=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 93, 84, 5, 13 ]
74
[ "93-84=9", "5*13=65", "9+65=74" ]
Current State: 74:[93, 84, 5, 13], Operations: [] Exploring Operation: 93-84=9, Resulting Numbers: [5, 13, 9] Generated Node #2: [5, 13, 9] from Operation: 93-84=9 Current State: 74:[5, 13, 9], Operations: ['93-84=9'] Exploring Operation: 5*13=65, Resulting Numbers: [9, 65] Generated Node #3: [9, 65] from Operation: 5*13=65 Current State: 74:[9, 65], Operations: ['93-84=9', '5*13=65'] Exploring Operation: 9+65=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 12, 66, 61, 28 ]
14
[ "61-28=33", "66/33=2", "12+2=14" ]
Current State: 14:[12, 66, 61, 28], Operations: [] Exploring Operation: 61-28=33, Resulting Numbers: [12, 66, 33] Generated Node #2: [12, 66, 33] from Operation: 61-28=33 Current State: 14:[12, 66, 33], Operations: ['61-28=33'] Exploring Operation: 66/33=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 66/33=2 Current State: 14:[12, 2], Operations: ['61-28=33', '66/33=2'] Exploring Operation: 12+2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 72, 89, 14, 5 ]
71
[ "89-72=17", "5*17=85", "85-14=71" ]
Current State: 71:[72, 89, 14, 5], Operations: [] Exploring Operation: 89-72=17, Resulting Numbers: [14, 5, 17] Generated Node #2: [14, 5, 17] from Operation: 89-72=17 Current State: 71:[14, 5, 17], Operations: ['89-72=17'] Exploring Operation: 5*17=85, Resulting Numbers: [14, 85] Generated Node #3: [14, 85] from Operation: 5*17=85 Current State: 71:[14, 85], Operations: ['89-72=17', '5*17=85'] Exploring Operation: 85-14=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 46, 20, 40, 1 ]
100
[ "46-40=6", "6-1=5", "20*5=100" ]
Current State: 100:[46, 20, 40, 1], Operations: [] Exploring Operation: 46-40=6, Resulting Numbers: [20, 1, 6] Generated Node #2: [20, 1, 6] from Operation: 46-40=6 Current State: 100:[20, 1, 6], Operations: ['46-40=6'] Exploring Operation: 6-1=5, Resulting Numbers: [20, 5] Generated Node #3: [20, 5] from Operation: 6-1=5 Current State: 100:[20, 5], Operations: ['46-40=6', '6-1=5'] Exploring Operation: 20*5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 92, 11, 90, 47 ]
29
[ "92-90=2", "11+47=58", "58/2=29" ]
Current State: 29:[92, 11, 90, 47], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [11, 47, 2] Generated Node #2: [11, 47, 2] from Operation: 92-90=2 Current State: 29:[11, 47, 2], Operations: ['92-90=2'] Exploring Operation: 11+47=58, Resulting Numbers: [2, 58] Generated Node #3: [2, 58] from Operation: 11+47=58 Current State: 29:[2, 58], Operations: ['92-90=2', '11+47=58'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 25, 69, 13, 18 ]
64
[ "18-13=5", "25/5=5", "69-5=64" ]
Current State: 64:[25, 69, 13, 18], Operations: [] Exploring Operation: 18-13=5, Resulting Numbers: [25, 69, 5] Generated Node #2: [25, 69, 5] from Operation: 18-13=5 Current State: 64:[25, 69, 5], Operations: ['18-13=5'] Exploring Operation: 25/5=5, Resulting Numbers: [69, 5] Generated Node #3: [69, 5] from Operation: 25/5=5 Current State: 64:[69, 5], Operations: ['18-13=5', '25/5=5'] Exploring Operation: 69-5=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 80, 67, 72, 64 ]
59
[ "80-72=8", "64/8=8", "67-8=59" ]
Current State: 59:[80, 67, 72, 64], Operations: [] Exploring Operation: 80-72=8, Resulting Numbers: [67, 64, 8] Generated Node #2: [67, 64, 8] from Operation: 80-72=8 Current State: 59:[67, 64, 8], Operations: ['80-72=8'] Exploring Operation: 64/8=8, Resulting Numbers: [67, 8] Generated Node #3: [67, 8] from Operation: 64/8=8 Current State: 59:[67, 8], Operations: ['80-72=8', '64/8=8'] Exploring Operation: 67-8=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 48, 30, 22, 88 ]
84
[ "48-30=18", "88-22=66", "18+66=84" ]
Current State: 84:[48, 30, 22, 88], Operations: [] Exploring Operation: 48-30=18, Resulting Numbers: [22, 88, 18] Generated Node #2: [22, 88, 18] from Operation: 48-30=18 Current State: 84:[22, 88, 18], Operations: ['48-30=18'] Exploring Operation: 88-22=66, Resulting Numbers: [18, 66] Generated Node #3: [18, 66] from Operation: 88-22=66 Current State: 84:[18, 66], Operations: ['48-30=18', '88-22=66'] Exploring Operation: 18+66=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 24, 73, 19, 23 ]
92
[ "24-23=1", "73+19=92", "1*92=92" ]
Current State: 92:[24, 73, 19, 23], Operations: [] Exploring Operation: 24-23=1, Resulting Numbers: [73, 19, 1] Generated Node #2: [73, 19, 1] from Operation: 24-23=1 Current State: 92:[73, 19, 1], Operations: ['24-23=1'] Exploring Operation: 73+19=92, Resulting Numbers: [1, 92] Generated Node #3: [1, 92] from Operation: 73+19=92 Current State: 92:[1, 92], Operations: ['24-23=1', '73+19=92'] Exploring Operation: 1*92=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 6, 90, 4, 20 ]
80
[ "6+90=96", "20-4=16", "96-16=80" ]
Current State: 80:[6, 90, 4, 20], Operations: [] Exploring Operation: 6+90=96, Resulting Numbers: [4, 20, 96] Generated Node #2: [4, 20, 96] from Operation: 6+90=96 Current State: 80:[4, 20, 96], Operations: ['6+90=96'] Exploring Operation: 20-4=16, Resulting Numbers: [96, 16] Generated Node #3: [96, 16] from Operation: 20-4=16 Current State: 80:[96, 16], Operations: ['6+90=96', '20-4=16'] Exploring Operation: 96-16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 7, 8, 42, 7 ]
42
[ "7-7=0", "8*0=0", "42+0=42" ]
Current State: 42:[7, 8, 42, 7], Operations: [] Exploring Operation: 7-7=0, Resulting Numbers: [8, 42, 0] Generated Node #2: [8, 42, 0] from Operation: 7-7=0 Current State: 42:[8, 42, 0], Operations: ['7-7=0'] Exploring Operation: 8*0=0, Resulting Numbers: [42, 0] Generated Node #3: [42, 0] from Operation: 8*0=0 Current State: 42:[42, 0], Operations: ['7-7=0', '8*0=0'] Exploring Operation: 42+0=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 18, 42, 24, 62 ]
61
[ "42-18=24", "24/24=1", "62-1=61" ]
Current State: 61:[18, 42, 24, 62], Operations: [] Exploring Operation: 42-18=24, Resulting Numbers: [24, 62, 24] Generated Node #2: [24, 62, 24] from Operation: 42-18=24 Current State: 61:[24, 62, 24], Operations: ['42-18=24'] Exploring Operation: 24/24=1, Resulting Numbers: [62, 1] Generated Node #3: [62, 1] from Operation: 24/24=1 Current State: 61:[62, 1], Operations: ['42-18=24', '24/24=1'] Exploring Operation: 62-1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 19, 90, 30, 22 ]
45
[ "30-19=11", "90*11=990", "990/22=45" ]
Current State: 45:[19, 90, 30, 22], Operations: [] Exploring Operation: 30-19=11, Resulting Numbers: [90, 22, 11] Generated Node #2: [90, 22, 11] from Operation: 30-19=11 Current State: 45:[90, 22, 11], Operations: ['30-19=11'] Exploring Operation: 90*11=990, Resulting Numbers: [22, 990] Generated Node #3: [22, 990] from Operation: 90*11=990 Current State: 45:[22, 990], Operations: ['30-19=11', '90*11=990'] Exploring Operation: 990/22=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 5, 89, 21, 88 ]
16
[ "21-5=16", "89-88=1", "16*1=16" ]
Current State: 16:[5, 89, 21, 88], Operations: [] Exploring Operation: 21-5=16, Resulting Numbers: [89, 88, 16] Generated Node #2: [89, 88, 16] from Operation: 21-5=16 Current State: 16:[89, 88, 16], Operations: ['21-5=16'] Exploring Operation: 89-88=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 89-88=1 Current State: 16:[16, 1], Operations: ['21-5=16', '89-88=1'] Exploring Operation: 16*1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 37, 10, 25, 4 ]
58
[ "37-25=12", "4*12=48", "10+48=58" ]
Current State: 58:[37, 10, 25, 4], Operations: [] Exploring Operation: 37-25=12, Resulting Numbers: [10, 4, 12] Generated Node #2: [10, 4, 12] from Operation: 37-25=12 Current State: 58:[10, 4, 12], Operations: ['37-25=12'] Exploring Operation: 4*12=48, Resulting Numbers: [10, 48] Generated Node #3: [10, 48] from Operation: 4*12=48 Current State: 58:[10, 48], Operations: ['37-25=12', '4*12=48'] Exploring Operation: 10+48=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 38, 66, 96, 75 ]
67
[ "38+66=104", "96+75=171", "171-104=67" ]
Current State: 67:[38, 66, 96, 75], Operations: [] Exploring Operation: 38+66=104, Resulting Numbers: [96, 75, 104] Generated Node #2: [96, 75, 104] from Operation: 38+66=104 Current State: 67:[96, 75, 104], Operations: ['38+66=104'] Exploring Operation: 96+75=171, Resulting Numbers: [104, 171] Generated Node #3: [104, 171] from Operation: 96+75=171 Current State: 67:[104, 171], Operations: ['38+66=104', '96+75=171'] Exploring Operation: 171-104=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 38, 70, 61, 65 ]
94
[ "70-38=32", "61+65=126", "126-32=94" ]
Current State: 94:[38, 70, 61, 65], Operations: [] Exploring Operation: 70-38=32, Resulting Numbers: [61, 65, 32] Generated Node #2: [61, 65, 32] from Operation: 70-38=32 Current State: 94:[61, 65, 32], Operations: ['70-38=32'] Exploring Operation: 61+65=126, Resulting Numbers: [32, 126] Generated Node #3: [32, 126] from Operation: 61+65=126 Current State: 94:[32, 126], Operations: ['70-38=32', '61+65=126'] Exploring Operation: 126-32=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 51, 54, 6, 21 ]
21
[ "51+54=105", "6*21=126", "126-105=21" ]
Current State: 21:[51, 54, 6, 21], Operations: [] Exploring Operation: 51+54=105, Resulting Numbers: [6, 21, 105] Generated Node #2: [6, 21, 105] from Operation: 51+54=105 Current State: 21:[6, 21, 105], Operations: ['51+54=105'] Exploring Operation: 6*21=126, Resulting Numbers: [105, 126] Generated Node #3: [105, 126] from Operation: 6*21=126 Current State: 21:[105, 126], Operations: ['51+54=105', '6*21=126'] Exploring Operation: 126-105=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 60, 96, 7, 68 ]
95
[ "60+96=156", "68-7=61", "156-61=95" ]
Current State: 95:[60, 96, 7, 68], Operations: [] Exploring Operation: 60+96=156, Resulting Numbers: [7, 68, 156] Generated Node #2: [7, 68, 156] from Operation: 60+96=156 Current State: 95:[7, 68, 156], Operations: ['60+96=156'] Exploring Operation: 68-7=61, Resulting Numbers: [156, 61] Generated Node #3: [156, 61] from Operation: 68-7=61 Current State: 95:[156, 61], Operations: ['60+96=156', '68-7=61'] Exploring Operation: 156-61=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 35, 83, 52, 9 ]
70
[ "52-35=17", "9*17=153", "153-83=70" ]
Current State: 70:[35, 83, 52, 9], Operations: [] Exploring Operation: 52-35=17, Resulting Numbers: [83, 9, 17] Generated Node #2: [83, 9, 17] from Operation: 52-35=17 Current State: 70:[83, 9, 17], Operations: ['52-35=17'] Exploring Operation: 9*17=153, Resulting Numbers: [83, 153] Generated Node #3: [83, 153] from Operation: 9*17=153 Current State: 70:[83, 153], Operations: ['52-35=17', '9*17=153'] Exploring Operation: 153-83=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 77, 33, 12, 17 ]
39
[ "77-33=44", "17-12=5", "44-5=39" ]
Current State: 39:[77, 33, 12, 17], Operations: [] Exploring Operation: 77-33=44, Resulting Numbers: [12, 17, 44] Generated Node #2: [12, 17, 44] from Operation: 77-33=44 Current State: 39:[12, 17, 44], Operations: ['77-33=44'] Exploring Operation: 17-12=5, Resulting Numbers: [44, 5] Generated Node #3: [44, 5] from Operation: 17-12=5 Current State: 39:[44, 5], Operations: ['77-33=44', '17-12=5'] Exploring Operation: 44-5=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 22, 45, 78, 2 ]
53
[ "45-22=23", "78-2=76", "76-23=53" ]
Current State: 53:[22, 45, 78, 2], Operations: [] Exploring Operation: 45-22=23, Resulting Numbers: [78, 2, 23] Generated Node #2: [78, 2, 23] from Operation: 45-22=23 Current State: 53:[78, 2, 23], Operations: ['45-22=23'] Exploring Operation: 78-2=76, Resulting Numbers: [23, 76] Generated Node #3: [23, 76] from Operation: 78-2=76 Current State: 53:[23, 76], Operations: ['45-22=23', '78-2=76'] Exploring Operation: 76-23=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 81, 40, 42, 39 ]
13
[ "42-39=3", "81/3=27", "40-27=13" ]
Current State: 13:[81, 40, 42, 39], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [81, 40, 3] Generated Node #2: [81, 40, 3] from Operation: 42-39=3 Current State: 13:[81, 40, 3], Operations: ['42-39=3'] Exploring Operation: 81/3=27, Resulting Numbers: [40, 27] Generated Node #3: [40, 27] from Operation: 81/3=27 Current State: 13:[40, 27], Operations: ['42-39=3', '81/3=27'] Exploring Operation: 40-27=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 30, 45, 62, 74 ]
27
[ "45-30=15", "74-62=12", "15+12=27" ]
Current State: 27:[30, 45, 62, 74], Operations: [] Exploring Operation: 45-30=15, Resulting Numbers: [62, 74, 15] Generated Node #2: [62, 74, 15] from Operation: 45-30=15 Current State: 27:[62, 74, 15], Operations: ['45-30=15'] Exploring Operation: 74-62=12, Resulting Numbers: [15, 12] Generated Node #3: [15, 12] from Operation: 74-62=12 Current State: 27:[15, 12], Operations: ['45-30=15', '74-62=12'] Exploring Operation: 15+12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 50, 95, 11, 81 ]
34
[ "95+81=176", "176/11=16", "50-16=34" ]
Current State: 34:[50, 95, 11, 81], Operations: [] Exploring Operation: 95+81=176, Resulting Numbers: [50, 11, 176] Generated Node #2: [50, 11, 176] from Operation: 95+81=176 Current State: 34:[50, 11, 176], Operations: ['95+81=176'] Exploring Operation: 176/11=16, Resulting Numbers: [50, 16] Generated Node #3: [50, 16] from Operation: 176/11=16 Current State: 34:[50, 16], Operations: ['95+81=176', '176/11=16'] Exploring Operation: 50-16=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 1, 40, 24, 8 ]
36
[ "40-1=39", "24/8=3", "39-3=36" ]
Current State: 36:[1, 40, 24, 8], Operations: [] Exploring Operation: 40-1=39, Resulting Numbers: [24, 8, 39] Generated Node #2: [24, 8, 39] from Operation: 40-1=39 Current State: 36:[24, 8, 39], Operations: ['40-1=39'] Exploring Operation: 24/8=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 24/8=3 Current State: 36:[39, 3], Operations: ['40-1=39', '24/8=3'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 13, 43, 11, 2 ]
17
[ "13+43=56", "56/2=28", "28-11=17" ]
Current State: 17:[13, 43, 11, 2], Operations: [] Exploring Operation: 13+43=56, Resulting Numbers: [11, 2, 56] Generated Node #2: [11, 2, 56] from Operation: 13+43=56 Current State: 17:[11, 2, 56], Operations: ['13+43=56'] Exploring Operation: 56/2=28, Resulting Numbers: [11, 28] Generated Node #3: [11, 28] from Operation: 56/2=28 Current State: 17:[11, 28], Operations: ['13+43=56', '56/2=28'] Exploring Operation: 28-11=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 26, 23, 44, 19 ]
75
[ "26-23=3", "44-19=25", "3*25=75" ]
Current State: 75:[26, 23, 44, 19], Operations: [] Exploring Operation: 26-23=3, Resulting Numbers: [44, 19, 3] Generated Node #2: [44, 19, 3] from Operation: 26-23=3 Current State: 75:[44, 19, 3], Operations: ['26-23=3'] Exploring Operation: 44-19=25, Resulting Numbers: [3, 25] Generated Node #3: [3, 25] from Operation: 44-19=25 Current State: 75:[3, 25], Operations: ['26-23=3', '44-19=25'] Exploring Operation: 3*25=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 17, 90, 3, 44 ]
60
[ "17+90=107", "3+44=47", "107-47=60" ]
Current State: 60:[17, 90, 3, 44], Operations: [] Exploring Operation: 17+90=107, Resulting Numbers: [3, 44, 107] Generated Node #2: [3, 44, 107] from Operation: 17+90=107 Current State: 60:[3, 44, 107], Operations: ['17+90=107'] Exploring Operation: 3+44=47, Resulting Numbers: [107, 47] Generated Node #3: [107, 47] from Operation: 3+44=47 Current State: 60:[107, 47], Operations: ['17+90=107', '3+44=47'] Exploring Operation: 107-47=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 28, 28, 48, 16 ]
53
[ "28+28=56", "48/16=3", "56-3=53" ]
Current State: 53:[28, 28, 48, 16], Operations: [] Exploring Operation: 28+28=56, Resulting Numbers: [48, 16, 56] Generated Node #2: [48, 16, 56] from Operation: 28+28=56 Current State: 53:[48, 16, 56], Operations: ['28+28=56'] Exploring Operation: 48/16=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 48/16=3 Current State: 53:[56, 3], Operations: ['28+28=56', '48/16=3'] Exploring Operation: 56-3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 90, 25, 69, 50 ]
46
[ "90-25=65", "69-50=19", "65-19=46" ]
Current State: 46:[90, 25, 69, 50], Operations: [] Exploring Operation: 90-25=65, Resulting Numbers: [69, 50, 65] Generated Node #2: [69, 50, 65] from Operation: 90-25=65 Current State: 46:[69, 50, 65], Operations: ['90-25=65'] Exploring Operation: 69-50=19, Resulting Numbers: [65, 19] Generated Node #3: [65, 19] from Operation: 69-50=19 Current State: 46:[65, 19], Operations: ['90-25=65', '69-50=19'] Exploring Operation: 65-19=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 94, 29, 16, 82 ]
57
[ "94+29=123", "82-16=66", "123-66=57" ]
Current State: 57:[94, 29, 16, 82], Operations: [] Exploring Operation: 94+29=123, Resulting Numbers: [16, 82, 123] Generated Node #2: [16, 82, 123] from Operation: 94+29=123 Current State: 57:[16, 82, 123], Operations: ['94+29=123'] Exploring Operation: 82-16=66, Resulting Numbers: [123, 66] Generated Node #3: [123, 66] from Operation: 82-16=66 Current State: 57:[123, 66], Operations: ['94+29=123', '82-16=66'] Exploring Operation: 123-66=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 26, 5, 43, 12 ]
52
[ "26-5=21", "43-12=31", "21+31=52" ]
Current State: 52:[26, 5, 43, 12], Operations: [] Exploring Operation: 26-5=21, Resulting Numbers: [43, 12, 21] Generated Node #2: [43, 12, 21] from Operation: 26-5=21 Current State: 52:[43, 12, 21], Operations: ['26-5=21'] Exploring Operation: 43-12=31, Resulting Numbers: [21, 31] Generated Node #3: [21, 31] from Operation: 43-12=31 Current State: 52:[21, 31], Operations: ['26-5=21', '43-12=31'] Exploring Operation: 21+31=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 57, 92, 55, 76 ]
30
[ "57-55=2", "92/2=46", "76-46=30" ]
Current State: 30:[57, 92, 55, 76], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [92, 76, 2] Generated Node #2: [92, 76, 2] from Operation: 57-55=2 Current State: 30:[92, 76, 2], Operations: ['57-55=2'] Exploring Operation: 92/2=46, Resulting Numbers: [76, 46] Generated Node #3: [76, 46] from Operation: 92/2=46 Current State: 30:[76, 46], Operations: ['57-55=2', '92/2=46'] Exploring Operation: 76-46=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 15, 45, 96, 36 ]
44
[ "45/15=3", "96+36=132", "132/3=44" ]
Current State: 44:[15, 45, 96, 36], Operations: [] Exploring Operation: 45/15=3, Resulting Numbers: [96, 36, 3] Generated Node #2: [96, 36, 3] from Operation: 45/15=3 Current State: 44:[96, 36, 3], Operations: ['45/15=3'] Exploring Operation: 96+36=132, Resulting Numbers: [3, 132] Generated Node #3: [3, 132] from Operation: 96+36=132 Current State: 44:[3, 132], Operations: ['45/15=3', '96+36=132'] Exploring Operation: 132/3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 69, 25, 6, 75 ]
25
[ "69+25=94", "75-6=69", "94-69=25" ]
Current State: 25:[69, 25, 6, 75], Operations: [] Exploring Operation: 69+25=94, Resulting Numbers: [6, 75, 94] Generated Node #2: [6, 75, 94] from Operation: 69+25=94 Current State: 25:[6, 75, 94], Operations: ['69+25=94'] Exploring Operation: 75-6=69, Resulting Numbers: [94, 69] Generated Node #3: [94, 69] from Operation: 75-6=69 Current State: 25:[94, 69], Operations: ['69+25=94', '75-6=69'] Exploring Operation: 94-69=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 49, 93, 19, 99 ]
74
[ "93-49=44", "19+99=118", "118-44=74" ]
Current State: 74:[49, 93, 19, 99], Operations: [] Exploring Operation: 93-49=44, Resulting Numbers: [19, 99, 44] Generated Node #2: [19, 99, 44] from Operation: 93-49=44 Current State: 74:[19, 99, 44], Operations: ['93-49=44'] Exploring Operation: 19+99=118, Resulting Numbers: [44, 118] Generated Node #3: [44, 118] from Operation: 19+99=118 Current State: 74:[44, 118], Operations: ['93-49=44', '19+99=118'] Exploring Operation: 118-44=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 33, 8, 39, 24 ]
15
[ "33+39=72", "72/8=9", "24-9=15" ]
Current State: 15:[33, 8, 39, 24], Operations: [] Exploring Operation: 33+39=72, Resulting Numbers: [8, 24, 72] Generated Node #2: [8, 24, 72] from Operation: 33+39=72 Current State: 15:[8, 24, 72], Operations: ['33+39=72'] Exploring Operation: 72/8=9, Resulting Numbers: [24, 9] Generated Node #3: [24, 9] from Operation: 72/8=9 Current State: 15:[24, 9], Operations: ['33+39=72', '72/8=9'] Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 45, 75, 14, 61 ]
17
[ "75-45=30", "61-14=47", "47-30=17" ]
Current State: 17:[45, 75, 14, 61], Operations: [] Exploring Operation: 75-45=30, Resulting Numbers: [14, 61, 30] Generated Node #2: [14, 61, 30] from Operation: 75-45=30 Current State: 17:[14, 61, 30], Operations: ['75-45=30'] Exploring Operation: 61-14=47, Resulting Numbers: [30, 47] Generated Node #3: [30, 47] from Operation: 61-14=47 Current State: 17:[30, 47], Operations: ['75-45=30', '61-14=47'] Exploring Operation: 47-30=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 3, 22, 99, 27 ]
18
[ "3*22=66", "27*66=1782", "1782/99=18" ]
Current State: 18:[3, 22, 99, 27], Operations: [] Exploring Operation: 3*22=66, Resulting Numbers: [99, 27, 66] Generated Node #2: [99, 27, 66] from Operation: 3*22=66 Current State: 18:[99, 27, 66], Operations: ['3*22=66'] Exploring Operation: 27*66=1782, Resulting Numbers: [99, 1782] Generated Node #3: [99, 1782] from Operation: 27*66=1782 Current State: 18:[99, 1782], Operations: ['3*22=66', '27*66=1782'] Exploring Operation: 1782/99=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 80, 27, 14, 2 ]
60
[ "80-27=53", "14/2=7", "53+7=60" ]
Current State: 60:[80, 27, 14, 2], Operations: [] Exploring Operation: 80-27=53, Resulting Numbers: [14, 2, 53] Generated Node #2: [14, 2, 53] from Operation: 80-27=53 Current State: 60:[14, 2, 53], Operations: ['80-27=53'] Exploring Operation: 14/2=7, Resulting Numbers: [53, 7] Generated Node #3: [53, 7] from Operation: 14/2=7 Current State: 60:[53, 7], Operations: ['80-27=53', '14/2=7'] Exploring Operation: 53+7=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4