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
[ 57, 27, 3, 62 ]
12
[ "62-57=5", "3*5=15", "27-15=12" ]
Current State: 12:[57, 27, 3, 62], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [27, 3, 5] Generated Node #2: [27, 3, 5] from Operation: 62-57=5 Current State: 12:[27, 3, 5], Operations: ['62-57=5'] Exploring Operation: 3*5=15, Resulting Numbers: [27, 15] Generated Node #3: [27, 15] from Operation: 3*5=15 Current State: 12:[27, 15], Operations: ['62-57=5', '3*5=15'] Exploring Operation: 27-15=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 24, 31, 12, 30 ]
49
[ "31-24=7", "12+30=42", "7+42=49" ]
Current State: 49:[24, 31, 12, 30], Operations: [] Exploring Operation: 31-24=7, Resulting Numbers: [12, 30, 7] Generated Node #2: [12, 30, 7] from Operation: 31-24=7 Current State: 49:[12, 30, 7], Operations: ['31-24=7'] Exploring Operation: 12+30=42, Resulting Numbers: [7, 42] Generated Node #3: [7, 42] from Operation: 12+30=42 Current State: 49:[7, 42], Operations: ['31-24=7', '12+30=42'] Exploring Operation: 7+42=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 54, 82, 71, 87 ]
44
[ "82-54=28", "87-71=16", "28+16=44" ]
Current State: 44:[54, 82, 71, 87], Operations: [] Exploring Operation: 82-54=28, Resulting Numbers: [71, 87, 28] Generated Node #2: [71, 87, 28] from Operation: 82-54=28 Current State: 44:[71, 87, 28], Operations: ['82-54=28'] Exploring Operation: 87-71=16, Resulting Numbers: [28, 16] Generated Node #3: [28, 16] from Operation: 87-71=16 Current State: 44:[28, 16], Operations: ['82-54=28', '87-71=16'] Exploring Operation: 28+16=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 58, 60, 14, 71 ]
61
[ "58+60=118", "71-14=57", "118-57=61" ]
Current State: 61:[58, 60, 14, 71], Operations: [] Exploring Operation: 58+60=118, Resulting Numbers: [14, 71, 118] Generated Node #2: [14, 71, 118] from Operation: 58+60=118 Current State: 61:[14, 71, 118], Operations: ['58+60=118'] Exploring Operation: 71-14=57, Resulting Numbers: [118, 57] Generated Node #3: [118, 57] from Operation: 71-14=57 Current State: 61:[118, 57], Operations: ['58+60=118', '71-14=57'] Exploring Operation: 118-57=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 66, 91, 2, 24 ]
98
[ "91-66=25", "24+25=49", "2*49=98" ]
Current State: 98:[66, 91, 2, 24], Operations: [] Exploring Operation: 91-66=25, Resulting Numbers: [2, 24, 25] Generated Node #2: [2, 24, 25] from Operation: 91-66=25 Current State: 98:[2, 24, 25], Operations: ['91-66=25'] Exploring Operation: 24+25=49, Resulting Numbers: [2, 49] Generated Node #3: [2, 49] from Operation: 24+25=49 Current State: 98:[2, 49], Operations: ['91-66=25', '24+25=49'] Exploring Operation: 2*49=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 44, 27, 12, 43 ]
56
[ "44*27=1188", "1188/12=99", "99-43=56" ]
Current State: 56:[44, 27, 12, 43], Operations: [] Exploring Operation: 44*27=1188, Resulting Numbers: [12, 43, 1188] Generated Node #2: [12, 43, 1188] from Operation: 44*27=1188 Current State: 56:[12, 43, 1188], Operations: ['44*27=1188'] Exploring Operation: 1188/12=99, Resulting Numbers: [43, 99] Generated Node #3: [43, 99] from Operation: 1188/12=99 Current State: 56:[43, 99], Operations: ['44*27=1188', '1188/12=99'] Exploring Operation: 99-43=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 31, 8, 54, 40 ]
28
[ "54-31=23", "40/8=5", "23+5=28" ]
Current State: 28:[31, 8, 54, 40], Operations: [] Exploring Operation: 54-31=23, Resulting Numbers: [8, 40, 23] Generated Node #2: [8, 40, 23] from Operation: 54-31=23 Current State: 28:[8, 40, 23], Operations: ['54-31=23'] Exploring Operation: 40/8=5, Resulting Numbers: [23, 5] Generated Node #3: [23, 5] from Operation: 40/8=5 Current State: 28:[23, 5], Operations: ['54-31=23', '40/8=5'] Exploring Operation: 23+5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 3, 2, 25, 63 ]
52
[ "25-3=22", "22/2=11", "63-11=52" ]
Current State: 52:[3, 2, 25, 63], Operations: [] Exploring Operation: 25-3=22, Resulting Numbers: [2, 63, 22] Generated Node #2: [2, 63, 22] from Operation: 25-3=22 Current State: 52:[2, 63, 22], Operations: ['25-3=22'] Exploring Operation: 22/2=11, Resulting Numbers: [63, 11] Generated Node #3: [63, 11] from Operation: 22/2=11 Current State: 52:[63, 11], Operations: ['25-3=22', '22/2=11'] Exploring Operation: 63-11=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 15, 11, 69, 38 ]
83
[ "15-11=4", "38*4=152", "152-69=83" ]
Current State: 83:[15, 11, 69, 38], Operations: [] Exploring Operation: 15-11=4, Resulting Numbers: [69, 38, 4] Generated Node #2: [69, 38, 4] from Operation: 15-11=4 Current State: 83:[69, 38, 4], Operations: ['15-11=4'] Exploring Operation: 38*4=152, Resulting Numbers: [69, 152] Generated Node #3: [69, 152] from Operation: 38*4=152 Current State: 83:[69, 152], Operations: ['15-11=4', '38*4=152'] Exploring Operation: 152-69=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 3, 48, 38, 7 ]
50
[ "7-3=4", "48/4=12", "38+12=50" ]
Current State: 50:[3, 48, 38, 7], Operations: [] Exploring Operation: 7-3=4, Resulting Numbers: [48, 38, 4] Generated Node #2: [48, 38, 4] from Operation: 7-3=4 Current State: 50:[48, 38, 4], Operations: ['7-3=4'] Exploring Operation: 48/4=12, Resulting Numbers: [38, 12] Generated Node #3: [38, 12] from Operation: 48/4=12 Current State: 50:[38, 12], Operations: ['7-3=4', '48/4=12'] Exploring Operation: 38+12=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 74, 27, 59, 59 ]
48
[ "74-27=47", "59/59=1", "47+1=48" ]
Current State: 48:[74, 27, 59, 59], Operations: [] Exploring Operation: 74-27=47, Resulting Numbers: [59, 59, 47] Generated Node #2: [59, 59, 47] from Operation: 74-27=47 Current State: 48:[59, 59, 47], Operations: ['74-27=47'] Exploring Operation: 59/59=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 59/59=1 Current State: 48:[47, 1], Operations: ['74-27=47', '59/59=1'] Exploring Operation: 47+1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 87, 69, 93, 35 ]
32
[ "87*35=3045", "3045-69=2976", "2976/93=32" ]
Current State: 32:[87, 69, 93, 35], Operations: [] Exploring Operation: 87*35=3045, Resulting Numbers: [69, 93, 3045] Generated Node #2: [69, 93, 3045] from Operation: 87*35=3045 Current State: 32:[69, 93, 3045], Operations: ['87*35=3045'] Exploring Operation: 3045-69=2976, Resulting Numbers: [93, 2976] Generated Node #3: [93, 2976] from Operation: 3045-69=2976 Current State: 32:[93, 2976], Operations: ['87*35=3045', '3045-69=2976'] Exploring Operation: 2976/93=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 77, 9, 68, 22 ]
22
[ "77-9=68", "68+22=90", "90-68=22" ]
Current State: 22:[77, 9, 68, 22], Operations: [] Exploring Operation: 77-9=68, Resulting Numbers: [68, 22, 68] Generated Node #2: [68, 22, 68] from Operation: 77-9=68 Current State: 22:[68, 22, 68], Operations: ['77-9=68'] Exploring Operation: 68+22=90, Resulting Numbers: [90] 90,22 equal: Goal Reached Exploring Operation: 90-68=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 77, 10, 40, 67 ]
40
[ "77-10=67", "40+67=107", "107-67=40" ]
Current State: 40:[77, 10, 40, 67], Operations: [] Exploring Operation: 77-10=67, Resulting Numbers: [40, 67, 67] Generated Node #2: [40, 67, 67] from Operation: 77-10=67 Current State: 40:[40, 67, 67], Operations: ['77-10=67'] Exploring Operation: 40+67=107, Resulting Numbers: [107] 107,40 equal: Goal Reached Exploring Operation: 107-67=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 59, 82, 14, 58 ]
95
[ "82-59=23", "14+58=72", "23+72=95" ]
Current State: 95:[59, 82, 14, 58], Operations: [] Exploring Operation: 82-59=23, Resulting Numbers: [14, 58, 23] Generated Node #2: [14, 58, 23] from Operation: 82-59=23 Current State: 95:[14, 58, 23], Operations: ['82-59=23'] Exploring Operation: 14+58=72, Resulting Numbers: [23, 72] Generated Node #3: [23, 72] from Operation: 14+58=72 Current State: 95:[23, 72], Operations: ['82-59=23', '14+58=72'] Exploring Operation: 23+72=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 8, 11, 88, 5 ]
55
[ "8+5=13", "11*13=143", "143-88=55" ]
Current State: 55:[8, 11, 88, 5], Operations: [] Exploring Operation: 8+5=13, Resulting Numbers: [11, 88, 13] Generated Node #2: [11, 88, 13] from Operation: 8+5=13 Current State: 55:[11, 88, 13], Operations: ['8+5=13'] Exploring Operation: 11*13=143, Resulting Numbers: [88, 143] Generated Node #3: [88, 143] from Operation: 11*13=143 Current State: 55:[88, 143], Operations: ['8+5=13', '11*13=143'] Exploring Operation: 143-88=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 30, 13, 23, 38 ]
35
[ "23-13=10", "30/10=3", "38-3=35" ]
Current State: 35:[30, 13, 23, 38], Operations: [] Exploring Operation: 23-13=10, Resulting Numbers: [30, 38, 10] Generated Node #2: [30, 38, 10] from Operation: 23-13=10 Current State: 35:[30, 38, 10], Operations: ['23-13=10'] Exploring Operation: 30/10=3, Resulting Numbers: [38, 3] Generated Node #3: [38, 3] from Operation: 30/10=3 Current State: 35:[38, 3], Operations: ['23-13=10', '30/10=3'] Exploring Operation: 38-3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 94, 46, 73, 23 ]
90
[ "94+46=140", "73-23=50", "140-50=90" ]
Current State: 90:[94, 46, 73, 23], Operations: [] Exploring Operation: 94+46=140, Resulting Numbers: [73, 23, 140] Generated Node #2: [73, 23, 140] from Operation: 94+46=140 Current State: 90:[73, 23, 140], Operations: ['94+46=140'] Exploring Operation: 73-23=50, Resulting Numbers: [140, 50] Generated Node #3: [140, 50] from Operation: 73-23=50 Current State: 90:[140, 50], Operations: ['94+46=140', '73-23=50'] Exploring Operation: 140-50=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 37, 2, 53, 1 ]
48
[ "53-37=16", "2+1=3", "16*3=48" ]
Current State: 48:[37, 2, 53, 1], Operations: [] Exploring Operation: 53-37=16, Resulting Numbers: [2, 1, 16] Generated Node #2: [2, 1, 16] from Operation: 53-37=16 Current State: 48:[2, 1, 16], Operations: ['53-37=16'] Exploring Operation: 2+1=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 2+1=3 Current State: 48:[16, 3], Operations: ['53-37=16', '2+1=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 12, 96, 44, 94 ]
42
[ "96/12=8", "94-44=50", "50-8=42" ]
Current State: 42:[12, 96, 44, 94], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [44, 94, 8] Generated Node #2: [44, 94, 8] from Operation: 96/12=8 Current State: 42:[44, 94, 8], Operations: ['96/12=8'] Exploring Operation: 94-44=50, Resulting Numbers: [8, 50] Generated Node #3: [8, 50] from Operation: 94-44=50 Current State: 42:[8, 50], Operations: ['96/12=8', '94-44=50'] Exploring Operation: 50-8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 20, 24, 1, 18 ]
24
[ "20-1=19", "19-18=1", "24*1=24" ]
Current State: 24:[20, 24, 1, 18], Operations: [] Exploring Operation: 20-1=19, Resulting Numbers: [24, 18, 19] Generated Node #2: [24, 18, 19] from Operation: 20-1=19 Current State: 24:[24, 18, 19], Operations: ['20-1=19'] Exploring Operation: 19-18=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 19-18=1 Current State: 24:[24, 1], Operations: ['20-1=19', '19-18=1'] Exploring Operation: 24*1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 50, 10, 47, 79 ]
27
[ "50/10=5", "79-47=32", "32-5=27" ]
Current State: 27:[50, 10, 47, 79], Operations: [] Exploring Operation: 50/10=5, Resulting Numbers: [47, 79, 5] Generated Node #2: [47, 79, 5] from Operation: 50/10=5 Current State: 27:[47, 79, 5], Operations: ['50/10=5'] Exploring Operation: 79-47=32, Resulting Numbers: [5, 32] Generated Node #3: [5, 32] from Operation: 79-47=32 Current State: 27:[5, 32], Operations: ['50/10=5', '79-47=32'] Exploring Operation: 32-5=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 56, 17, 4, 33 ]
10
[ "56+17=73", "73-33=40", "40/4=10" ]
Current State: 10:[56, 17, 4, 33], Operations: [] Exploring Operation: 56+17=73, Resulting Numbers: [4, 33, 73] Generated Node #2: [4, 33, 73] from Operation: 56+17=73 Current State: 10:[4, 33, 73], Operations: ['56+17=73'] Exploring Operation: 73-33=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 73-33=40 Current State: 10:[4, 40], Operations: ['56+17=73', '73-33=40'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 41, 94, 60, 38 ]
86
[ "41-38=3", "60*3=180", "180-94=86" ]
Current State: 86:[41, 94, 60, 38], Operations: [] Exploring Operation: 41-38=3, Resulting Numbers: [94, 60, 3] Generated Node #2: [94, 60, 3] from Operation: 41-38=3 Current State: 86:[94, 60, 3], Operations: ['41-38=3'] Exploring Operation: 60*3=180, Resulting Numbers: [94, 180] Generated Node #3: [94, 180] from Operation: 60*3=180 Current State: 86:[94, 180], Operations: ['41-38=3', '60*3=180'] Exploring Operation: 180-94=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 50, 58, 32, 87 ]
83
[ "58-50=8", "32/8=4", "87-4=83" ]
Current State: 83:[50, 58, 32, 87], Operations: [] Exploring Operation: 58-50=8, Resulting Numbers: [32, 87, 8] Generated Node #2: [32, 87, 8] from Operation: 58-50=8 Current State: 83:[32, 87, 8], Operations: ['58-50=8'] Exploring Operation: 32/8=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 32/8=4 Current State: 83:[87, 4], Operations: ['58-50=8', '32/8=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 25, 42, 3, 63 ]
46
[ "25+42=67", "63/3=21", "67-21=46" ]
Current State: 46:[25, 42, 3, 63], Operations: [] Exploring Operation: 25+42=67, Resulting Numbers: [3, 63, 67] Generated Node #2: [3, 63, 67] from Operation: 25+42=67 Current State: 46:[3, 63, 67], Operations: ['25+42=67'] Exploring Operation: 63/3=21, Resulting Numbers: [67, 21] Generated Node #3: [67, 21] from Operation: 63/3=21 Current State: 46:[67, 21], Operations: ['25+42=67', '63/3=21'] Exploring Operation: 67-21=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 14, 29, 6, 80 ]
19
[ "14-6=8", "80/8=10", "29-10=19" ]
Current State: 19:[14, 29, 6, 80], Operations: [] Exploring Operation: 14-6=8, Resulting Numbers: [29, 80, 8] Generated Node #2: [29, 80, 8] from Operation: 14-6=8 Current State: 19:[29, 80, 8], Operations: ['14-6=8'] Exploring Operation: 80/8=10, Resulting Numbers: [29, 10] Generated Node #3: [29, 10] from Operation: 80/8=10 Current State: 19:[29, 10], Operations: ['14-6=8', '80/8=10'] Exploring Operation: 29-10=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 83, 22, 94, 18 ]
20
[ "94-83=11", "22/11=2", "18+2=20" ]
Current State: 20:[83, 22, 94, 18], Operations: [] Exploring Operation: 94-83=11, Resulting Numbers: [22, 18, 11] Generated Node #2: [22, 18, 11] from Operation: 94-83=11 Current State: 20:[22, 18, 11], Operations: ['94-83=11'] Exploring Operation: 22/11=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 22/11=2 Current State: 20:[18, 2], Operations: ['94-83=11', '22/11=2'] Exploring Operation: 18+2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 19, 18, 32, 19 ]
49
[ "19/19=1", "18+32=50", "50-1=49" ]
Current State: 49:[19, 18, 32, 19], Operations: [] Exploring Operation: 19/19=1, Resulting Numbers: [18, 32, 1] Generated Node #2: [18, 32, 1] from Operation: 19/19=1 Current State: 49:[18, 32, 1], Operations: ['19/19=1'] Exploring Operation: 18+32=50, Resulting Numbers: [1, 50] Generated Node #3: [1, 50] from Operation: 18+32=50 Current State: 49:[1, 50], Operations: ['19/19=1', '18+32=50'] Exploring Operation: 50-1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 9, 77, 53, 11 ]
31
[ "9*11=99", "77+53=130", "130-99=31" ]
Current State: 31:[9, 77, 53, 11], Operations: [] Exploring Operation: 9*11=99, Resulting Numbers: [77, 53, 99] Generated Node #2: [77, 53, 99] from Operation: 9*11=99 Current State: 31:[77, 53, 99], Operations: ['9*11=99'] Exploring Operation: 77+53=130, Resulting Numbers: [99, 130] Generated Node #3: [99, 130] from Operation: 77+53=130 Current State: 31:[99, 130], Operations: ['9*11=99', '77+53=130'] Exploring Operation: 130-99=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 34, 94, 64, 21 ]
25
[ "94-34=60", "64+21=85", "85-60=25" ]
Current State: 25:[34, 94, 64, 21], Operations: [] Exploring Operation: 94-34=60, Resulting Numbers: [64, 21, 60] Generated Node #2: [64, 21, 60] from Operation: 94-34=60 Current State: 25:[64, 21, 60], Operations: ['94-34=60'] Exploring Operation: 64+21=85, Resulting Numbers: [60, 85] Generated Node #3: [60, 85] from Operation: 64+21=85 Current State: 25:[60, 85], Operations: ['94-34=60', '64+21=85'] Exploring Operation: 85-60=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 52, 12, 73, 20 ]
53
[ "52-12=40", "73+20=93", "93-40=53" ]
Current State: 53:[52, 12, 73, 20], Operations: [] Exploring Operation: 52-12=40, Resulting Numbers: [73, 20, 40] Generated Node #2: [73, 20, 40] from Operation: 52-12=40 Current State: 53:[73, 20, 40], Operations: ['52-12=40'] Exploring Operation: 73+20=93, Resulting Numbers: [40, 93] Generated Node #3: [40, 93] from Operation: 73+20=93 Current State: 53:[40, 93], Operations: ['52-12=40', '73+20=93'] Exploring Operation: 93-40=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 50, 3, 9, 7 ]
84
[ "50+7=57", "3*9=27", "57+27=84" ]
Current State: 84:[50, 3, 9, 7], Operations: [] Exploring Operation: 50+7=57, Resulting Numbers: [3, 9, 57] Generated Node #2: [3, 9, 57] from Operation: 50+7=57 Current State: 84:[3, 9, 57], Operations: ['50+7=57'] Exploring Operation: 3*9=27, Resulting Numbers: [57, 27] Generated Node #3: [57, 27] from Operation: 3*9=27 Current State: 84:[57, 27], Operations: ['50+7=57', '3*9=27'] Exploring Operation: 57+27=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 53, 28, 94, 59 ]
10
[ "53-28=25", "94-59=35", "35-25=10" ]
Current State: 10:[53, 28, 94, 59], Operations: [] Exploring Operation: 53-28=25, Resulting Numbers: [94, 59, 25] Generated Node #2: [94, 59, 25] from Operation: 53-28=25 Current State: 10:[94, 59, 25], Operations: ['53-28=25'] Exploring Operation: 94-59=35, Resulting Numbers: [25, 35] Generated Node #3: [25, 35] from Operation: 94-59=35 Current State: 10:[25, 35], Operations: ['53-28=25', '94-59=35'] Exploring Operation: 35-25=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 22, 5, 23, 59 ]
34
[ "22+59=81", "5*23=115", "115-81=34" ]
Current State: 34:[22, 5, 23, 59], Operations: [] Exploring Operation: 22+59=81, Resulting Numbers: [5, 23, 81] Generated Node #2: [5, 23, 81] from Operation: 22+59=81 Current State: 34:[5, 23, 81], Operations: ['22+59=81'] Exploring Operation: 5*23=115, Resulting Numbers: [81, 115] Generated Node #3: [81, 115] from Operation: 5*23=115 Current State: 34:[81, 115], Operations: ['22+59=81', '5*23=115'] Exploring Operation: 115-81=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 56, 89, 84, 36 ]
77
[ "89-56=33", "84*33=2772", "2772/36=77" ]
Current State: 77:[56, 89, 84, 36], Operations: [] Exploring Operation: 89-56=33, Resulting Numbers: [84, 36, 33] Generated Node #2: [84, 36, 33] from Operation: 89-56=33 Current State: 77:[84, 36, 33], Operations: ['89-56=33'] Exploring Operation: 84*33=2772, Resulting Numbers: [36, 2772] Generated Node #3: [36, 2772] from Operation: 84*33=2772 Current State: 77:[36, 2772], Operations: ['89-56=33', '84*33=2772'] Exploring Operation: 2772/36=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 84, 2, 13, 7 ]
32
[ "84-13=71", "71-7=64", "64/2=32" ]
Current State: 32:[84, 2, 13, 7], Operations: [] Exploring Operation: 84-13=71, Resulting Numbers: [2, 7, 71] Generated Node #2: [2, 7, 71] from Operation: 84-13=71 Current State: 32:[2, 7, 71], Operations: ['84-13=71'] Exploring Operation: 71-7=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 71-7=64 Current State: 32:[2, 64], Operations: ['84-13=71', '71-7=64'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 53, 51, 58, 60 ]
45
[ "58-53=5", "60-51=9", "5*9=45" ]
Current State: 45:[53, 51, 58, 60], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [51, 60, 5] Generated Node #2: [51, 60, 5] from Operation: 58-53=5 Current State: 45:[51, 60, 5], Operations: ['58-53=5'] Exploring Operation: 60-51=9, Resulting Numbers: [5, 9] Generated Node #3: [5, 9] from Operation: 60-51=9 Current State: 45:[5, 9], Operations: ['58-53=5', '60-51=9'] Exploring Operation: 5*9=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 35, 63, 42, 51 ]
85
[ "35*51=1785", "63-42=21", "1785/21=85" ]
Current State: 85:[35, 63, 42, 51], Operations: [] Exploring Operation: 35*51=1785, Resulting Numbers: [63, 42, 1785] Generated Node #2: [63, 42, 1785] from Operation: 35*51=1785 Current State: 85:[63, 42, 1785], Operations: ['35*51=1785'] Exploring Operation: 63-42=21, Resulting Numbers: [1785, 21] Generated Node #3: [1785, 21] from Operation: 63-42=21 Current State: 85:[1785, 21], Operations: ['35*51=1785', '63-42=21'] Exploring Operation: 1785/21=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 40, 78, 88, 24 ]
54
[ "40+78=118", "88-24=64", "118-64=54" ]
Current State: 54:[40, 78, 88, 24], Operations: [] Exploring Operation: 40+78=118, Resulting Numbers: [88, 24, 118] Generated Node #2: [88, 24, 118] from Operation: 40+78=118 Current State: 54:[88, 24, 118], Operations: ['40+78=118'] Exploring Operation: 88-24=64, Resulting Numbers: [118, 64] Generated Node #3: [118, 64] from Operation: 88-24=64 Current State: 54:[118, 64], Operations: ['40+78=118', '88-24=64'] Exploring Operation: 118-64=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 25, 52, 76, 93 ]
93
[ "25+52=77", "77-76=1", "93*1=93" ]
Current State: 93:[25, 52, 76, 93], Operations: [] Exploring Operation: 25+52=77, Resulting Numbers: [76, 93, 77] Generated Node #2: [76, 93, 77] from Operation: 25+52=77 Current State: 93:[76, 93, 77], Operations: ['25+52=77'] Exploring Operation: 77-76=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 77-76=1 Current State: 93:[93, 1], Operations: ['25+52=77', '77-76=1'] Exploring Operation: 93*1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 25, 9, 91, 97 ]
75
[ "9+91=100", "100-97=3", "25*3=75" ]
Current State: 75:[25, 9, 91, 97], Operations: [] Exploring Operation: 9+91=100, Resulting Numbers: [25, 97, 100] Generated Node #2: [25, 97, 100] from Operation: 9+91=100 Current State: 75:[25, 97, 100], Operations: ['9+91=100'] Exploring Operation: 100-97=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 100-97=3 Current State: 75:[25, 3], Operations: ['9+91=100', '100-97=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 59, 3, 24, 21 ]
65
[ "59+3=62", "24-21=3", "62+3=65" ]
Current State: 65:[59, 3, 24, 21], Operations: [] Exploring Operation: 59+3=62, Resulting Numbers: [24, 21, 62] Generated Node #2: [24, 21, 62] from Operation: 59+3=62 Current State: 65:[24, 21, 62], Operations: ['59+3=62'] Exploring Operation: 24-21=3, Resulting Numbers: [62, 3] Generated Node #3: [62, 3] from Operation: 24-21=3 Current State: 65:[62, 3], Operations: ['59+3=62', '24-21=3'] Exploring Operation: 62+3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 84, 86, 7, 83 ]
69
[ "86-84=2", "7*2=14", "83-14=69" ]
Current State: 69:[84, 86, 7, 83], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [7, 83, 2] Generated Node #2: [7, 83, 2] from Operation: 86-84=2 Current State: 69:[7, 83, 2], Operations: ['86-84=2'] Exploring Operation: 7*2=14, Resulting Numbers: [83, 14] Generated Node #3: [83, 14] from Operation: 7*2=14 Current State: 69:[83, 14], Operations: ['86-84=2', '7*2=14'] Exploring Operation: 83-14=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 37, 46, 51, 16 ]
93
[ "46-37=9", "16*9=144", "144-51=93" ]
Current State: 93:[37, 46, 51, 16], Operations: [] Exploring Operation: 46-37=9, Resulting Numbers: [51, 16, 9] Generated Node #2: [51, 16, 9] from Operation: 46-37=9 Current State: 93:[51, 16, 9], Operations: ['46-37=9'] Exploring Operation: 16*9=144, Resulting Numbers: [51, 144] Generated Node #3: [51, 144] from Operation: 16*9=144 Current State: 93:[51, 144], Operations: ['46-37=9', '16*9=144'] Exploring Operation: 144-51=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 42, 87, 57, 72 ]
30
[ "87-42=45", "72-57=15", "45-15=30" ]
Current State: 30:[42, 87, 57, 72], Operations: [] Exploring Operation: 87-42=45, Resulting Numbers: [57, 72, 45] Generated Node #2: [57, 72, 45] from Operation: 87-42=45 Current State: 30:[57, 72, 45], Operations: ['87-42=45'] Exploring Operation: 72-57=15, Resulting Numbers: [45, 15] Generated Node #3: [45, 15] from Operation: 72-57=15 Current State: 30:[45, 15], Operations: ['87-42=45', '72-57=15'] Exploring Operation: 45-15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 90, 42, 50, 94 ]
47
[ "90-42=48", "50-48=2", "94/2=47" ]
Current State: 47:[90, 42, 50, 94], Operations: [] Exploring Operation: 90-42=48, Resulting Numbers: [50, 94, 48] Generated Node #2: [50, 94, 48] from Operation: 90-42=48 Current State: 47:[50, 94, 48], Operations: ['90-42=48'] Exploring Operation: 50-48=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 50-48=2 Current State: 47:[94, 2], Operations: ['90-42=48', '50-48=2'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 60, 29, 8, 11 ]
92
[ "60+29=89", "11-8=3", "89+3=92" ]
Current State: 92:[60, 29, 8, 11], Operations: [] Exploring Operation: 60+29=89, Resulting Numbers: [8, 11, 89] Generated Node #2: [8, 11, 89] from Operation: 60+29=89 Current State: 92:[8, 11, 89], Operations: ['60+29=89'] Exploring Operation: 11-8=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 11-8=3 Current State: 92:[89, 3], Operations: ['60+29=89', '11-8=3'] Exploring Operation: 89+3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 72, 38, 70, 54 ]
73
[ "72-70=2", "38/2=19", "54+19=73" ]
Current State: 73:[72, 38, 70, 54], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [38, 54, 2] Generated Node #2: [38, 54, 2] from Operation: 72-70=2 Current State: 73:[38, 54, 2], Operations: ['72-70=2'] Exploring Operation: 38/2=19, Resulting Numbers: [54, 19] Generated Node #3: [54, 19] from Operation: 38/2=19 Current State: 73:[54, 19], Operations: ['72-70=2', '38/2=19'] Exploring Operation: 54+19=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 96, 57, 81, 45 ]
67
[ "96*57=5472", "5472-45=5427", "5427/81=67" ]
Current State: 67:[96, 57, 81, 45], Operations: [] Exploring Operation: 96*57=5472, Resulting Numbers: [81, 45, 5472] Generated Node #2: [81, 45, 5472] from Operation: 96*57=5472 Current State: 67:[81, 45, 5472], Operations: ['96*57=5472'] Exploring Operation: 5472-45=5427, Resulting Numbers: [81, 5427] Generated Node #3: [81, 5427] from Operation: 5472-45=5427 Current State: 67:[81, 5427], Operations: ['96*57=5472', '5472-45=5427'] Exploring Operation: 5427/81=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 78, 51, 46, 87 ]
81
[ "51+87=138", "138/46=3", "78+3=81" ]
Current State: 81:[78, 51, 46, 87], Operations: [] Exploring Operation: 51+87=138, Resulting Numbers: [78, 46, 138] Generated Node #2: [78, 46, 138] from Operation: 51+87=138 Current State: 81:[78, 46, 138], Operations: ['51+87=138'] Exploring Operation: 138/46=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 138/46=3 Current State: 81:[78, 3], Operations: ['51+87=138', '138/46=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 64, 28, 57, 5 ]
81
[ "28+57=85", "85/5=17", "64+17=81" ]
Current State: 81:[64, 28, 57, 5], Operations: [] Exploring Operation: 28+57=85, Resulting Numbers: [64, 5, 85] Generated Node #2: [64, 5, 85] from Operation: 28+57=85 Current State: 81:[64, 5, 85], Operations: ['28+57=85'] Exploring Operation: 85/5=17, Resulting Numbers: [64, 17] Generated Node #3: [64, 17] from Operation: 85/5=17 Current State: 81:[64, 17], Operations: ['28+57=85', '85/5=17'] Exploring Operation: 64+17=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 56, 84, 70, 8 ]
90
[ "84-56=28", "70-8=62", "28+62=90" ]
Current State: 90:[56, 84, 70, 8], Operations: [] Exploring Operation: 84-56=28, Resulting Numbers: [70, 8, 28] Generated Node #2: [70, 8, 28] from Operation: 84-56=28 Current State: 90:[70, 8, 28], Operations: ['84-56=28'] Exploring Operation: 70-8=62, Resulting Numbers: [28, 62] Generated Node #3: [28, 62] from Operation: 70-8=62 Current State: 90:[28, 62], Operations: ['84-56=28', '70-8=62'] Exploring Operation: 28+62=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 53, 61, 75, 6 ]
100
[ "61-53=8", "75*8=600", "600/6=100" ]
Current State: 100:[53, 61, 75, 6], Operations: [] Exploring Operation: 61-53=8, Resulting Numbers: [75, 6, 8] Generated Node #2: [75, 6, 8] from Operation: 61-53=8 Current State: 100:[75, 6, 8], Operations: ['61-53=8'] Exploring Operation: 75*8=600, Resulting Numbers: [6, 600] Generated Node #3: [6, 600] from Operation: 75*8=600 Current State: 100:[6, 600], Operations: ['61-53=8', '75*8=600'] Exploring Operation: 600/6=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 87, 98, 96, 62 ]
37
[ "98-96=2", "62*2=124", "124-87=37" ]
Current State: 37:[87, 98, 96, 62], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [87, 62, 2] Generated Node #2: [87, 62, 2] from Operation: 98-96=2 Current State: 37:[87, 62, 2], Operations: ['98-96=2'] Exploring Operation: 62*2=124, Resulting Numbers: [87, 124] Generated Node #3: [87, 124] from Operation: 62*2=124 Current State: 37:[87, 124], Operations: ['98-96=2', '62*2=124'] Exploring Operation: 124-87=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 58, 76, 80, 3 ]
59
[ "76-58=18", "80-3=77", "77-18=59" ]
Current State: 59:[58, 76, 80, 3], Operations: [] Exploring Operation: 76-58=18, Resulting Numbers: [80, 3, 18] Generated Node #2: [80, 3, 18] from Operation: 76-58=18 Current State: 59:[80, 3, 18], Operations: ['76-58=18'] Exploring Operation: 80-3=77, Resulting Numbers: [18, 77] Generated Node #3: [18, 77] from Operation: 80-3=77 Current State: 59:[18, 77], Operations: ['76-58=18', '80-3=77'] Exploring Operation: 77-18=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 11, 55, 50, 81 ]
14
[ "81-11=70", "55-50=5", "70/5=14" ]
Current State: 14:[11, 55, 50, 81], Operations: [] Exploring Operation: 81-11=70, Resulting Numbers: [55, 50, 70] Generated Node #2: [55, 50, 70] from Operation: 81-11=70 Current State: 14:[55, 50, 70], Operations: ['81-11=70'] Exploring Operation: 55-50=5, Resulting Numbers: [70, 5] Generated Node #3: [70, 5] from Operation: 55-50=5 Current State: 14:[70, 5], Operations: ['81-11=70', '55-50=5'] Exploring Operation: 70/5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 19, 23, 61, 14 ]
25
[ "23+61=84", "84/14=6", "19+6=25" ]
Current State: 25:[19, 23, 61, 14], Operations: [] Exploring Operation: 23+61=84, Resulting Numbers: [19, 14, 84] Generated Node #2: [19, 14, 84] from Operation: 23+61=84 Current State: 25:[19, 14, 84], Operations: ['23+61=84'] Exploring Operation: 84/14=6, Resulting Numbers: [19, 6] Generated Node #3: [19, 6] from Operation: 84/14=6 Current State: 25:[19, 6], Operations: ['23+61=84', '84/14=6'] Exploring Operation: 19+6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 44, 73, 50, 38 ]
65
[ "44*73=3212", "38+3212=3250", "3250/50=65" ]
Current State: 65:[44, 73, 50, 38], Operations: [] Exploring Operation: 44*73=3212, Resulting Numbers: [50, 38, 3212] Generated Node #2: [50, 38, 3212] from Operation: 44*73=3212 Current State: 65:[50, 38, 3212], Operations: ['44*73=3212'] Exploring Operation: 38+3212=3250, Resulting Numbers: [50, 3250] Generated Node #3: [50, 3250] from Operation: 38+3212=3250 Current State: 65:[50, 3250], Operations: ['44*73=3212', '38+3212=3250'] Exploring Operation: 3250/50=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 21, 49, 56, 72 ]
74
[ "49-21=28", "56/28=2", "72+2=74" ]
Current State: 74:[21, 49, 56, 72], Operations: [] Exploring Operation: 49-21=28, Resulting Numbers: [56, 72, 28] Generated Node #2: [56, 72, 28] from Operation: 49-21=28 Current State: 74:[56, 72, 28], Operations: ['49-21=28'] Exploring Operation: 56/28=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 56/28=2 Current State: 74:[72, 2], Operations: ['49-21=28', '56/28=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 36, 79, 40, 24 ]
21
[ "79-36=43", "40+24=64", "64-43=21" ]
Current State: 21:[36, 79, 40, 24], Operations: [] Exploring Operation: 79-36=43, Resulting Numbers: [40, 24, 43] Generated Node #2: [40, 24, 43] from Operation: 79-36=43 Current State: 21:[40, 24, 43], Operations: ['79-36=43'] Exploring Operation: 40+24=64, Resulting Numbers: [43, 64] Generated Node #3: [43, 64] from Operation: 40+24=64 Current State: 21:[43, 64], Operations: ['79-36=43', '40+24=64'] Exploring Operation: 64-43=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 58, 92, 31, 3 ]
62
[ "92-58=34", "31-3=28", "34+28=62" ]
Current State: 62:[58, 92, 31, 3], Operations: [] Exploring Operation: 92-58=34, Resulting Numbers: [31, 3, 34] Generated Node #2: [31, 3, 34] from Operation: 92-58=34 Current State: 62:[31, 3, 34], Operations: ['92-58=34'] Exploring Operation: 31-3=28, Resulting Numbers: [34, 28] Generated Node #3: [34, 28] from Operation: 31-3=28 Current State: 62:[34, 28], Operations: ['92-58=34', '31-3=28'] Exploring Operation: 34+28=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 56, 72, 10, 3 ]
90
[ "56+10=66", "72/3=24", "66+24=90" ]
Current State: 90:[56, 72, 10, 3], Operations: [] Exploring Operation: 56+10=66, Resulting Numbers: [72, 3, 66] Generated Node #2: [72, 3, 66] from Operation: 56+10=66 Current State: 90:[72, 3, 66], Operations: ['56+10=66'] Exploring Operation: 72/3=24, Resulting Numbers: [66, 24] Generated Node #3: [66, 24] from Operation: 72/3=24 Current State: 90:[66, 24], Operations: ['56+10=66', '72/3=24'] Exploring Operation: 66+24=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 41, 9, 70, 17 ]
42
[ "41+70=111", "9*17=153", "153-111=42" ]
Current State: 42:[41, 9, 70, 17], Operations: [] Exploring Operation: 41+70=111, Resulting Numbers: [9, 17, 111] Generated Node #2: [9, 17, 111] from Operation: 41+70=111 Current State: 42:[9, 17, 111], Operations: ['41+70=111'] Exploring Operation: 9*17=153, Resulting Numbers: [111, 153] Generated Node #3: [111, 153] from Operation: 9*17=153 Current State: 42:[111, 153], Operations: ['41+70=111', '9*17=153'] Exploring Operation: 153-111=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 68, 78, 15, 19 ]
11
[ "68+78=146", "19+146=165", "165/15=11" ]
Current State: 11:[68, 78, 15, 19], Operations: [] Exploring Operation: 68+78=146, Resulting Numbers: [15, 19, 146] Generated Node #2: [15, 19, 146] from Operation: 68+78=146 Current State: 11:[15, 19, 146], Operations: ['68+78=146'] Exploring Operation: 19+146=165, Resulting Numbers: [15, 165] Generated Node #3: [15, 165] from Operation: 19+146=165 Current State: 11:[15, 165], Operations: ['68+78=146', '19+146=165'] Exploring Operation: 165/15=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 77, 81, 13, 85 ]
16
[ "77-13=64", "85-81=4", "64/4=16" ]
Current State: 16:[77, 81, 13, 85], Operations: [] Exploring Operation: 77-13=64, Resulting Numbers: [81, 85, 64] Generated Node #2: [81, 85, 64] from Operation: 77-13=64 Current State: 16:[81, 85, 64], Operations: ['77-13=64'] Exploring Operation: 85-81=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 85-81=4 Current State: 16:[64, 4], Operations: ['77-13=64', '85-81=4'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 28, 81, 50, 33 ]
11
[ "81-28=53", "53-50=3", "33/3=11" ]
Current State: 11:[28, 81, 50, 33], Operations: [] Exploring Operation: 81-28=53, Resulting Numbers: [50, 33, 53] Generated Node #2: [50, 33, 53] from Operation: 81-28=53 Current State: 11:[50, 33, 53], Operations: ['81-28=53'] Exploring Operation: 53-50=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 53-50=3 Current State: 11:[33, 3], Operations: ['81-28=53', '53-50=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 96, 28, 72, 86 ]
34
[ "96+28=124", "72+86=158", "158-124=34" ]
Current State: 34:[96, 28, 72, 86], Operations: [] Exploring Operation: 96+28=124, Resulting Numbers: [72, 86, 124] Generated Node #2: [72, 86, 124] from Operation: 96+28=124 Current State: 34:[72, 86, 124], Operations: ['96+28=124'] Exploring Operation: 72+86=158, Resulting Numbers: [124, 158] Generated Node #3: [124, 158] from Operation: 72+86=158 Current State: 34:[124, 158], Operations: ['96+28=124', '72+86=158'] Exploring Operation: 158-124=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 92, 17, 17, 96 ]
68
[ "92*17=1564", "17*96=1632", "1632-1564=68" ]
Current State: 68:[92, 17, 17, 96], Operations: [] Exploring Operation: 92*17=1564, Resulting Numbers: [96, 1564] Generated Node #2: [96, 1564] from Operation: 92*17=1564 Current State: 68:[96, 1564], Operations: ['92*17=1564'] Exploring Operation: 17*96=1632, Resulting Numbers: [1564, 1632] Generated Node #3: [1564, 1632] from Operation: 17*96=1632 Current State: 68:[1564, 1632], Operations: ['92*17=1564', '17*96=1632'] Exploring Operation: 1632-1564=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 18, 58, 27, 67 ]
18
[ "18+58=76", "27+67=94", "94-76=18" ]
Current State: 18:[18, 58, 27, 67], Operations: [] Exploring Operation: 18+58=76, Resulting Numbers: [27, 67, 76] Generated Node #2: [27, 67, 76] from Operation: 18+58=76 Current State: 18:[27, 67, 76], Operations: ['18+58=76'] Exploring Operation: 27+67=94, Resulting Numbers: [76, 94] Generated Node #3: [76, 94] from Operation: 27+67=94 Current State: 18:[76, 94], Operations: ['18+58=76', '27+67=94'] Exploring Operation: 94-76=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 71, 94, 98, 48 ]
73
[ "94-71=23", "98-48=50", "23+50=73" ]
Current State: 73:[71, 94, 98, 48], Operations: [] Exploring Operation: 94-71=23, Resulting Numbers: [98, 48, 23] Generated Node #2: [98, 48, 23] from Operation: 94-71=23 Current State: 73:[98, 48, 23], Operations: ['94-71=23'] Exploring Operation: 98-48=50, Resulting Numbers: [23, 50] Generated Node #3: [23, 50] from Operation: 98-48=50 Current State: 73:[23, 50], Operations: ['94-71=23', '98-48=50'] Exploring Operation: 23+50=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 66, 69, 31, 89 ]
28
[ "89-66=23", "69/23=3", "31-3=28" ]
Current State: 28:[66, 69, 31, 89], Operations: [] Exploring Operation: 89-66=23, Resulting Numbers: [69, 31, 23] Generated Node #2: [69, 31, 23] from Operation: 89-66=23 Current State: 28:[69, 31, 23], Operations: ['89-66=23'] Exploring Operation: 69/23=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 69/23=3 Current State: 28:[31, 3], Operations: ['89-66=23', '69/23=3'] Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 54, 52, 53, 90 ]
63
[ "52+53=105", "54*105=5670", "5670/90=63" ]
Current State: 63:[54, 52, 53, 90], Operations: [] Exploring Operation: 52+53=105, Resulting Numbers: [54, 90, 105] Generated Node #2: [54, 90, 105] from Operation: 52+53=105 Current State: 63:[54, 90, 105], Operations: ['52+53=105'] Exploring Operation: 54*105=5670, Resulting Numbers: [90, 5670] Generated Node #3: [90, 5670] from Operation: 54*105=5670 Current State: 63:[90, 5670], Operations: ['52+53=105', '54*105=5670'] Exploring Operation: 5670/90=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 78, 60, 52, 96 ]
84
[ "78*96=7488", "7488/52=144", "144-60=84" ]
Current State: 84:[78, 60, 52, 96], Operations: [] Exploring Operation: 78*96=7488, Resulting Numbers: [60, 52, 7488] Generated Node #2: [60, 52, 7488] from Operation: 78*96=7488 Current State: 84:[60, 52, 7488], Operations: ['78*96=7488'] Exploring Operation: 7488/52=144, Resulting Numbers: [60, 144] Generated Node #3: [60, 144] from Operation: 7488/52=144 Current State: 84:[60, 144], Operations: ['78*96=7488', '7488/52=144'] Exploring Operation: 144-60=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 70, 15, 67, 70 ]
82
[ "70+15=85", "70-67=3", "85-3=82" ]
Current State: 82:[70, 15, 67, 70], Operations: [] Exploring Operation: 70+15=85, Resulting Numbers: [67, 85] Generated Node #2: [67, 85] from Operation: 70+15=85 Current State: 82:[67, 85], Operations: ['70+15=85'] Exploring Operation: 70-67=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 70-67=3 Current State: 82:[85, 3], Operations: ['70+15=85', '70-67=3'] Exploring Operation: 85-3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 72, 44, 12, 84 ]
35
[ "72-44=28", "84/12=7", "28+7=35" ]
Current State: 35:[72, 44, 12, 84], Operations: [] Exploring Operation: 72-44=28, Resulting Numbers: [12, 84, 28] Generated Node #2: [12, 84, 28] from Operation: 72-44=28 Current State: 35:[12, 84, 28], Operations: ['72-44=28'] Exploring Operation: 84/12=7, Resulting Numbers: [28, 7] Generated Node #3: [28, 7] from Operation: 84/12=7 Current State: 35:[28, 7], Operations: ['72-44=28', '84/12=7'] Exploring Operation: 28+7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 88, 11, 24, 65 ]
93
[ "24-11=13", "65/13=5", "88+5=93" ]
Current State: 93:[88, 11, 24, 65], Operations: [] Exploring Operation: 24-11=13, Resulting Numbers: [88, 65, 13] Generated Node #2: [88, 65, 13] from Operation: 24-11=13 Current State: 93:[88, 65, 13], Operations: ['24-11=13'] Exploring Operation: 65/13=5, Resulting Numbers: [88, 5] Generated Node #3: [88, 5] from Operation: 65/13=5 Current State: 93:[88, 5], Operations: ['24-11=13', '65/13=5'] Exploring Operation: 88+5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 96, 42, 85, 83 ]
75
[ "85-83=2", "42/2=21", "96-21=75" ]
Current State: 75:[96, 42, 85, 83], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [96, 42, 2] Generated Node #2: [96, 42, 2] from Operation: 85-83=2 Current State: 75:[96, 42, 2], Operations: ['85-83=2'] Exploring Operation: 42/2=21, Resulting Numbers: [96, 21] Generated Node #3: [96, 21] from Operation: 42/2=21 Current State: 75:[96, 21], Operations: ['85-83=2', '42/2=21'] Exploring Operation: 96-21=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 77, 63, 42, 22 ]
19
[ "77-63=14", "42/14=3", "22-3=19" ]
Current State: 19:[77, 63, 42, 22], Operations: [] Exploring Operation: 77-63=14, Resulting Numbers: [42, 22, 14] Generated Node #2: [42, 22, 14] from Operation: 77-63=14 Current State: 19:[42, 22, 14], Operations: ['77-63=14'] Exploring Operation: 42/14=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 42/14=3 Current State: 19:[22, 3], Operations: ['77-63=14', '42/14=3'] Exploring Operation: 22-3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 28, 88, 28, 47 ]
40
[ "28/28=1", "88-47=41", "41-1=40" ]
Current State: 40:[28, 88, 28, 47], Operations: [] Exploring Operation: 28/28=1, Resulting Numbers: [88, 47, 1] Generated Node #2: [88, 47, 1] from Operation: 28/28=1 Current State: 40:[88, 47, 1], Operations: ['28/28=1'] Exploring Operation: 88-47=41, Resulting Numbers: [1, 41] Generated Node #3: [1, 41] from Operation: 88-47=41 Current State: 40:[1, 41], Operations: ['28/28=1', '88-47=41'] Exploring Operation: 41-1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 7, 16, 84, 69 ]
89
[ "84-69=15", "7*15=105", "105-16=89" ]
Current State: 89:[7, 16, 84, 69], Operations: [] Exploring Operation: 84-69=15, Resulting Numbers: [7, 16, 15] Generated Node #2: [7, 16, 15] from Operation: 84-69=15 Current State: 89:[7, 16, 15], Operations: ['84-69=15'] Exploring Operation: 7*15=105, Resulting Numbers: [16, 105] Generated Node #3: [16, 105] from Operation: 7*15=105 Current State: 89:[16, 105], Operations: ['84-69=15', '7*15=105'] Exploring Operation: 105-16=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 2, 30, 50, 18 ]
37
[ "50/2=25", "30-18=12", "25+12=37" ]
Current State: 37:[2, 30, 50, 18], Operations: [] Exploring Operation: 50/2=25, Resulting Numbers: [30, 18, 25] Generated Node #2: [30, 18, 25] from Operation: 50/2=25 Current State: 37:[30, 18, 25], Operations: ['50/2=25'] Exploring Operation: 30-18=12, Resulting Numbers: [25, 12] Generated Node #3: [25, 12] from Operation: 30-18=12 Current State: 37:[25, 12], Operations: ['50/2=25', '30-18=12'] Exploring Operation: 25+12=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 77, 39, 1, 4 ]
75
[ "39-1=38", "4*38=152", "152-77=75" ]
Current State: 75:[77, 39, 1, 4], Operations: [] Exploring Operation: 39-1=38, Resulting Numbers: [77, 4, 38] Generated Node #2: [77, 4, 38] from Operation: 39-1=38 Current State: 75:[77, 4, 38], Operations: ['39-1=38'] Exploring Operation: 4*38=152, Resulting Numbers: [77, 152] Generated Node #3: [77, 152] from Operation: 4*38=152 Current State: 75:[77, 152], Operations: ['39-1=38', '4*38=152'] Exploring Operation: 152-77=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 52, 31, 71, 53 ]
65
[ "52+31=83", "71-53=18", "83-18=65" ]
Current State: 65:[52, 31, 71, 53], Operations: [] Exploring Operation: 52+31=83, Resulting Numbers: [71, 53, 83] Generated Node #2: [71, 53, 83] from Operation: 52+31=83 Current State: 65:[71, 53, 83], Operations: ['52+31=83'] Exploring Operation: 71-53=18, Resulting Numbers: [83, 18] Generated Node #3: [83, 18] from Operation: 71-53=18 Current State: 65:[83, 18], Operations: ['52+31=83', '71-53=18'] Exploring Operation: 83-18=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 61, 55, 2, 58 ]
32
[ "61-55=6", "58+6=64", "64/2=32" ]
Current State: 32:[61, 55, 2, 58], Operations: [] Exploring Operation: 61-55=6, Resulting Numbers: [2, 58, 6] Generated Node #2: [2, 58, 6] from Operation: 61-55=6 Current State: 32:[2, 58, 6], Operations: ['61-55=6'] Exploring Operation: 58+6=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 58+6=64 Current State: 32:[2, 64], Operations: ['61-55=6', '58+6=64'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 45, 8, 41, 61 ]
93
[ "45-41=4", "8*4=32", "61+32=93" ]
Current State: 93:[45, 8, 41, 61], Operations: [] Exploring Operation: 45-41=4, Resulting Numbers: [8, 61, 4] Generated Node #2: [8, 61, 4] from Operation: 45-41=4 Current State: 93:[8, 61, 4], Operations: ['45-41=4'] Exploring Operation: 8*4=32, Resulting Numbers: [61, 32] Generated Node #3: [61, 32] from Operation: 8*4=32 Current State: 93:[61, 32], Operations: ['45-41=4', '8*4=32'] Exploring Operation: 61+32=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 27, 58, 98, 60 ]
73
[ "27+58=85", "98+60=158", "158-85=73" ]
Current State: 73:[27, 58, 98, 60], Operations: [] Exploring Operation: 27+58=85, Resulting Numbers: [98, 60, 85] Generated Node #2: [98, 60, 85] from Operation: 27+58=85 Current State: 73:[98, 60, 85], Operations: ['27+58=85'] Exploring Operation: 98+60=158, Resulting Numbers: [85, 158] Generated Node #3: [85, 158] from Operation: 98+60=158 Current State: 73:[85, 158], Operations: ['27+58=85', '98+60=158'] Exploring Operation: 158-85=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 20, 19, 63, 57 ]
13
[ "63+57=120", "120/20=6", "19-6=13" ]
Current State: 13:[20, 19, 63, 57], Operations: [] Exploring Operation: 63+57=120, Resulting Numbers: [20, 19, 120] Generated Node #2: [20, 19, 120] from Operation: 63+57=120 Current State: 13:[20, 19, 120], Operations: ['63+57=120'] Exploring Operation: 120/20=6, Resulting Numbers: [19, 6] Generated Node #3: [19, 6] from Operation: 120/20=6 Current State: 13:[19, 6], Operations: ['63+57=120', '120/20=6'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 4, 9, 69, 91 ]
94
[ "9+91=100", "100/4=25", "69+25=94" ]
Current State: 94:[4, 9, 69, 91], Operations: [] Exploring Operation: 9+91=100, Resulting Numbers: [4, 69, 100] Generated Node #2: [4, 69, 100] from Operation: 9+91=100 Current State: 94:[4, 69, 100], Operations: ['9+91=100'] Exploring Operation: 100/4=25, Resulting Numbers: [69, 25] Generated Node #3: [69, 25] from Operation: 100/4=25 Current State: 94:[69, 25], Operations: ['9+91=100', '100/4=25'] Exploring Operation: 69+25=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 11, 56, 77, 43 ]
79
[ "56-11=45", "77-43=34", "45+34=79" ]
Current State: 79:[11, 56, 77, 43], Operations: [] Exploring Operation: 56-11=45, Resulting Numbers: [77, 43, 45] Generated Node #2: [77, 43, 45] from Operation: 56-11=45 Current State: 79:[77, 43, 45], Operations: ['56-11=45'] Exploring Operation: 77-43=34, Resulting Numbers: [45, 34] Generated Node #3: [45, 34] from Operation: 77-43=34 Current State: 79:[45, 34], Operations: ['56-11=45', '77-43=34'] Exploring Operation: 45+34=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 2, 68, 34, 30 ]
14
[ "30-2=28", "68/34=2", "28/2=14" ]
Current State: 14:[2, 68, 34, 30], Operations: [] Exploring Operation: 30-2=28, Resulting Numbers: [68, 34, 28] Generated Node #2: [68, 34, 28] from Operation: 30-2=28 Current State: 14:[68, 34, 28], Operations: ['30-2=28'] Exploring Operation: 68/34=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 68/34=2 Current State: 14:[28, 2], Operations: ['30-2=28', '68/34=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 59, 96, 9, 3 ]
94
[ "96+9=105", "105/3=35", "59+35=94" ]
Current State: 94:[59, 96, 9, 3], Operations: [] Exploring Operation: 96+9=105, Resulting Numbers: [59, 3, 105] Generated Node #2: [59, 3, 105] from Operation: 96+9=105 Current State: 94:[59, 3, 105], Operations: ['96+9=105'] Exploring Operation: 105/3=35, Resulting Numbers: [59, 35] Generated Node #3: [59, 35] from Operation: 105/3=35 Current State: 94:[59, 35], Operations: ['96+9=105', '105/3=35'] Exploring Operation: 59+35=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 80, 14, 67, 58 ]
46
[ "67-58=9", "14*9=126", "126-80=46" ]
Current State: 46:[80, 14, 67, 58], Operations: [] Exploring Operation: 67-58=9, Resulting Numbers: [80, 14, 9] Generated Node #2: [80, 14, 9] from Operation: 67-58=9 Current State: 46:[80, 14, 9], Operations: ['67-58=9'] Exploring Operation: 14*9=126, Resulting Numbers: [80, 126] Generated Node #3: [80, 126] from Operation: 14*9=126 Current State: 46:[80, 126], Operations: ['67-58=9', '14*9=126'] Exploring Operation: 126-80=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 71, 97, 53, 68 ]
47
[ "71+97=168", "53+68=121", "168-121=47" ]
Current State: 47:[71, 97, 53, 68], Operations: [] Exploring Operation: 71+97=168, Resulting Numbers: [53, 68, 168] Generated Node #2: [53, 68, 168] from Operation: 71+97=168 Current State: 47:[53, 68, 168], Operations: ['71+97=168'] Exploring Operation: 53+68=121, Resulting Numbers: [168, 121] Generated Node #3: [168, 121] from Operation: 53+68=121 Current State: 47:[168, 121], Operations: ['71+97=168', '53+68=121'] Exploring Operation: 168-121=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 1, 30, 5, 99 ]
46
[ "30-1=29", "5*29=145", "145-99=46" ]
Current State: 46:[1, 30, 5, 99], Operations: [] Exploring Operation: 30-1=29, Resulting Numbers: [5, 99, 29] Generated Node #2: [5, 99, 29] from Operation: 30-1=29 Current State: 46:[5, 99, 29], Operations: ['30-1=29'] Exploring Operation: 5*29=145, Resulting Numbers: [99, 145] Generated Node #3: [99, 145] from Operation: 5*29=145 Current State: 46:[99, 145], Operations: ['30-1=29', '5*29=145'] Exploring Operation: 145-99=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 34, 64, 13, 4 ]
26
[ "64+4=68", "68/34=2", "13*2=26" ]
Current State: 26:[34, 64, 13, 4], Operations: [] Exploring Operation: 64+4=68, Resulting Numbers: [34, 13, 68] Generated Node #2: [34, 13, 68] from Operation: 64+4=68 Current State: 26:[34, 13, 68], Operations: ['64+4=68'] Exploring Operation: 68/34=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 68/34=2 Current State: 26:[13, 2], Operations: ['64+4=68', '68/34=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 52, 96, 51, 22 ]
29
[ "96-52=44", "51+22=73", "73-44=29" ]
Current State: 29:[52, 96, 51, 22], Operations: [] Exploring Operation: 96-52=44, Resulting Numbers: [51, 22, 44] Generated Node #2: [51, 22, 44] from Operation: 96-52=44 Current State: 29:[51, 22, 44], Operations: ['96-52=44'] Exploring Operation: 51+22=73, Resulting Numbers: [44, 73] Generated Node #3: [44, 73] from Operation: 51+22=73 Current State: 29:[44, 73], Operations: ['96-52=44', '51+22=73'] Exploring Operation: 73-44=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 70, 83, 48, 76 ]
58
[ "83*48=3984", "76+3984=4060", "4060/70=58" ]
Current State: 58:[70, 83, 48, 76], Operations: [] Exploring Operation: 83*48=3984, Resulting Numbers: [70, 76, 3984] Generated Node #2: [70, 76, 3984] from Operation: 83*48=3984 Current State: 58:[70, 76, 3984], Operations: ['83*48=3984'] Exploring Operation: 76+3984=4060, Resulting Numbers: [70, 4060] Generated Node #3: [70, 4060] from Operation: 76+3984=4060 Current State: 58:[70, 4060], Operations: ['83*48=3984', '76+3984=4060'] Exploring Operation: 4060/70=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 60, 47, 49, 51 ]
69
[ "49-47=2", "60*2=120", "120-51=69" ]
Current State: 69:[60, 47, 49, 51], Operations: [] Exploring Operation: 49-47=2, Resulting Numbers: [60, 51, 2] Generated Node #2: [60, 51, 2] from Operation: 49-47=2 Current State: 69:[60, 51, 2], Operations: ['49-47=2'] Exploring Operation: 60*2=120, Resulting Numbers: [51, 120] Generated Node #3: [51, 120] from Operation: 60*2=120 Current State: 69:[51, 120], Operations: ['49-47=2', '60*2=120'] Exploring Operation: 120-51=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 78, 70, 89, 4 ]
26
[ "89-78=11", "4*11=44", "70-44=26" ]
Current State: 26:[78, 70, 89, 4], Operations: [] Exploring Operation: 89-78=11, Resulting Numbers: [70, 4, 11] Generated Node #2: [70, 4, 11] from Operation: 89-78=11 Current State: 26:[70, 4, 11], Operations: ['89-78=11'] Exploring Operation: 4*11=44, Resulting Numbers: [70, 44] Generated Node #3: [70, 44] from Operation: 4*11=44 Current State: 26:[70, 44], Operations: ['89-78=11', '4*11=44'] Exploring Operation: 70-44=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4