Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 16, 59, 75, 18 ]
43
[ "18-16=2", "59*2=118", "118-75=43" ]
Current State: 43:[16, 59, 75, 18], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [59, 75, 2] Generated Node #2: [59, 75, 2] from Operation: 18-16=2 Current State: 43:[59, 75, 2], Operations: ['18-16=2'] Exploring Operation: 59*2=118, Resulting Numbers: [75, 118] Generated Node #3: [75, 118] from Operation: 59*2=118 Current State: 43:[75, 118], Operations: ['18-16=2', '59*2=118'] Exploring Operation: 118-75=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 63, 66, 7, 34 ]
30
[ "66-63=3", "34-7=27", "3+27=30" ]
Current State: 30:[63, 66, 7, 34], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [7, 34, 3] Generated Node #2: [7, 34, 3] from Operation: 66-63=3 Current State: 30:[7, 34, 3], Operations: ['66-63=3'] Exploring Operation: 34-7=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 34-7=27 Current State: 30:[3, 27], Operations: ['66-63=3', '34-7=27'] Exploring Operation: 3+27=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 75, 13, 50, 33 ]
69
[ "13+33=46", "75*46=3450", "3450/50=69" ]
Current State: 69:[75, 13, 50, 33], Operations: [] Exploring Operation: 13+33=46, Resulting Numbers: [75, 50, 46] Generated Node #2: [75, 50, 46] from Operation: 13+33=46 Current State: 69:[75, 50, 46], Operations: ['13+33=46'] Exploring Operation: 75*46=3450, Resulting Numbers: [50, 3450] Generated Node #3: [50, 3450] from Operation: 75*46=3450 Current State: 69:[50, 3450], Operations: ['13+33=46', '75*46=3450'] Exploring Operation: 3450/50=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 15, 26, 99, 90 ]
57
[ "90/15=6", "26*6=156", "156-99=57" ]
Current State: 57:[15, 26, 99, 90], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [26, 99, 6] Generated Node #2: [26, 99, 6] from Operation: 90/15=6 Current State: 57:[26, 99, 6], Operations: ['90/15=6'] Exploring Operation: 26*6=156, Resulting Numbers: [99, 156] Generated Node #3: [99, 156] from Operation: 26*6=156 Current State: 57:[99, 156], Operations: ['90/15=6', '26*6=156'] Exploring Operation: 156-99=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 31, 98, 97, 13 ]
44
[ "31+13=44", "98-97=1", "44*1=44" ]
Current State: 44:[31, 98, 97, 13], Operations: [] Exploring Operation: 31+13=44, Resulting Numbers: [98, 97, 44] Generated Node #2: [98, 97, 44] from Operation: 31+13=44 Current State: 44:[98, 97, 44], Operations: ['31+13=44'] Exploring Operation: 98-97=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 98-97=1 Current State: 44:[44, 1], Operations: ['31+13=44', '98-97=1'] Exploring Operation: 44*1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 88, 4, 48, 21 ]
76
[ "88-48=40", "40-21=19", "4*19=76" ]
Current State: 76:[88, 4, 48, 21], Operations: [] Exploring Operation: 88-48=40, Resulting Numbers: [4, 21, 40] Generated Node #2: [4, 21, 40] from Operation: 88-48=40 Current State: 76:[4, 21, 40], Operations: ['88-48=40'] Exploring Operation: 40-21=19, Resulting Numbers: [4, 19] Generated Node #3: [4, 19] from Operation: 40-21=19 Current State: 76:[4, 19], Operations: ['88-48=40', '40-21=19'] Exploring Operation: 4*19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 14, 10, 31 ]
49
[ "14+10=24", "31-24=7", "7*7=49" ]
Current State: 49:[7, 14, 10, 31], Operations: [] Exploring Operation: 14+10=24, Resulting Numbers: [7, 31, 24] Generated Node #2: [7, 31, 24] from Operation: 14+10=24 Current State: 49:[7, 31, 24], Operations: ['14+10=24'] Exploring Operation: 31-24=7, Resulting Numbers: [7, 7] Generated Node #3: [7, 7] from Operation: 31-24=7 Current State: 49:[7, 7], Operations: ['14+10=24', '31-24=7'] Exploring Operation: 7*7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 3, 15, 57, 37 ]
69
[ "3*37=111", "57-15=42", "111-42=69" ]
Current State: 69:[3, 15, 57, 37], Operations: [] Exploring Operation: 3*37=111, Resulting Numbers: [15, 57, 111] Generated Node #2: [15, 57, 111] from Operation: 3*37=111 Current State: 69:[15, 57, 111], Operations: ['3*37=111'] Exploring Operation: 57-15=42, Resulting Numbers: [111, 42] Generated Node #3: [111, 42] from Operation: 57-15=42 Current State: 69:[111, 42], Operations: ['3*37=111', '57-15=42'] Exploring Operation: 111-42=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 11, 50, 40, 98 ]
97
[ "50-11=39", "98-40=58", "39+58=97" ]
Current State: 97:[11, 50, 40, 98], Operations: [] Exploring Operation: 50-11=39, Resulting Numbers: [40, 98, 39] Generated Node #2: [40, 98, 39] from Operation: 50-11=39 Current State: 97:[40, 98, 39], Operations: ['50-11=39'] Exploring Operation: 98-40=58, Resulting Numbers: [39, 58] Generated Node #3: [39, 58] from Operation: 98-40=58 Current State: 97:[39, 58], Operations: ['50-11=39', '98-40=58'] Exploring Operation: 39+58=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 44, 83, 4, 40 ]
49
[ "83-44=39", "40/4=10", "39+10=49" ]
Current State: 49:[44, 83, 4, 40], Operations: [] Exploring Operation: 83-44=39, Resulting Numbers: [4, 40, 39] Generated Node #2: [4, 40, 39] from Operation: 83-44=39 Current State: 49:[4, 40, 39], Operations: ['83-44=39'] Exploring Operation: 40/4=10, Resulting Numbers: [39, 10] Generated Node #3: [39, 10] from Operation: 40/4=10 Current State: 49:[39, 10], Operations: ['83-44=39', '40/4=10'] Exploring Operation: 39+10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 12, 69, 72, 24 ]
78
[ "12+69=81", "72/24=3", "81-3=78" ]
Current State: 78:[12, 69, 72, 24], Operations: [] Exploring Operation: 12+69=81, Resulting Numbers: [72, 24, 81] Generated Node #2: [72, 24, 81] from Operation: 12+69=81 Current State: 78:[72, 24, 81], Operations: ['12+69=81'] Exploring Operation: 72/24=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 72/24=3 Current State: 78:[81, 3], Operations: ['12+69=81', '72/24=3'] Exploring Operation: 81-3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 17, 52, 11 ]
26
[ "17-2=15", "52-11=41", "41-15=26" ]
Current State: 26:[2, 17, 52, 11], Operations: [] Exploring Operation: 17-2=15, Resulting Numbers: [52, 11, 15] Generated Node #2: [52, 11, 15] from Operation: 17-2=15 Current State: 26:[52, 11, 15], Operations: ['17-2=15'] Exploring Operation: 52-11=41, Resulting Numbers: [15, 41] Generated Node #3: [15, 41] from Operation: 52-11=41 Current State: 26:[15, 41], Operations: ['17-2=15', '52-11=41'] Exploring Operation: 41-15=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 15, 67, 68, 69 ]
51
[ "67-15=52", "69-68=1", "52-1=51" ]
Current State: 51:[15, 67, 68, 69], Operations: [] Exploring Operation: 67-15=52, Resulting Numbers: [68, 69, 52] Generated Node #2: [68, 69, 52] from Operation: 67-15=52 Current State: 51:[68, 69, 52], Operations: ['67-15=52'] Exploring Operation: 69-68=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 69-68=1 Current State: 51:[52, 1], Operations: ['67-15=52', '69-68=1'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 88, 15, 37, 88 ]
84
[ "37-15=22", "88/22=4", "88-4=84" ]
Current State: 84:[88, 15, 37, 88], Operations: [] Exploring Operation: 37-15=22, Resulting Numbers: [88, 88, 22] Generated Node #2: [88, 88, 22] from Operation: 37-15=22 Current State: 84:[88, 88, 22], Operations: ['37-15=22'] Exploring Operation: 88/22=4, Resulting Numbers: [4] 4,84 equal: Goal Reached Exploring Operation: 88-4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 4, 27, 69, 89 ]
88
[ "4*27=108", "89-69=20", "108-20=88" ]
Current State: 88:[4, 27, 69, 89], Operations: [] Exploring Operation: 4*27=108, Resulting Numbers: [69, 89, 108] Generated Node #2: [69, 89, 108] from Operation: 4*27=108 Current State: 88:[69, 89, 108], Operations: ['4*27=108'] Exploring Operation: 89-69=20, Resulting Numbers: [108, 20] Generated Node #3: [108, 20] from Operation: 89-69=20 Current State: 88:[108, 20], Operations: ['4*27=108', '89-69=20'] Exploring Operation: 108-20=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 94, 50, 74, 54 ]
80
[ "94-74=20", "54-50=4", "20*4=80" ]
Current State: 80:[94, 50, 74, 54], Operations: [] Exploring Operation: 94-74=20, Resulting Numbers: [50, 54, 20] Generated Node #2: [50, 54, 20] from Operation: 94-74=20 Current State: 80:[50, 54, 20], Operations: ['94-74=20'] Exploring Operation: 54-50=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 54-50=4 Current State: 80:[20, 4], Operations: ['94-74=20', '54-50=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 32, 11, 1, 71 ]
50
[ "32-11=21", "1*71=71", "71-21=50" ]
Current State: 50:[32, 11, 1, 71], Operations: [] Exploring Operation: 32-11=21, Resulting Numbers: [1, 71, 21] Generated Node #2: [1, 71, 21] from Operation: 32-11=21 Current State: 50:[1, 71, 21], Operations: ['32-11=21'] Exploring Operation: 1*71=71, Resulting Numbers: [21, 71] Generated Node #3: [21, 71] from Operation: 1*71=71 Current State: 50:[21, 71], Operations: ['32-11=21', '1*71=71'] Exploring Operation: 71-21=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 33, 63, 4, 9 ]
36
[ "33-4=29", "63/9=7", "29+7=36" ]
Current State: 36:[33, 63, 4, 9], Operations: [] Exploring Operation: 33-4=29, Resulting Numbers: [63, 9, 29] Generated Node #2: [63, 9, 29] from Operation: 33-4=29 Current State: 36:[63, 9, 29], Operations: ['33-4=29'] Exploring Operation: 63/9=7, Resulting Numbers: [29, 7] Generated Node #3: [29, 7] from Operation: 63/9=7 Current State: 36:[29, 7], Operations: ['33-4=29', '63/9=7'] Exploring Operation: 29+7=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 83, 4, 71, 27 ]
81
[ "83-71=12", "12/4=3", "27*3=81" ]
Current State: 81:[83, 4, 71, 27], Operations: [] Exploring Operation: 83-71=12, Resulting Numbers: [4, 27, 12] Generated Node #2: [4, 27, 12] from Operation: 83-71=12 Current State: 81:[4, 27, 12], Operations: ['83-71=12'] Exploring Operation: 12/4=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 12/4=3 Current State: 81:[27, 3], Operations: ['83-71=12', '12/4=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 39, 49, 78, 99 ]
39
[ "39*99=3861", "49*78=3822", "3861-3822=39" ]
Current State: 39:[39, 49, 78, 99], Operations: [] Exploring Operation: 39*99=3861, Resulting Numbers: [49, 78, 3861] Generated Node #2: [49, 78, 3861] from Operation: 39*99=3861 Current State: 39:[49, 78, 3861], Operations: ['39*99=3861'] Exploring Operation: 49*78=3822, Resulting Numbers: [3861, 3822] Generated Node #3: [3861, 3822] from Operation: 49*78=3822 Current State: 39:[3861, 3822], Operations: ['39*99=3861', '49*78=3822'] Exploring Operation: 3861-3822=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 96, 24, 36, 23 ]
14
[ "96/24=4", "36/4=9", "23-9=14" ]
Current State: 14:[96, 24, 36, 23], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [36, 23, 4] Generated Node #2: [36, 23, 4] from Operation: 96/24=4 Current State: 14:[36, 23, 4], Operations: ['96/24=4'] Exploring Operation: 36/4=9, Resulting Numbers: [23, 9] Generated Node #3: [23, 9] from Operation: 36/4=9 Current State: 14:[23, 9], Operations: ['96/24=4', '36/4=9'] Exploring Operation: 23-9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 1, 32, 24, 35 ]
72
[ "1*32=32", "35-32=3", "24*3=72" ]
Current State: 72:[1, 32, 24, 35], Operations: [] Exploring Operation: 1*32=32, Resulting Numbers: [24, 35, 32] Generated Node #2: [24, 35, 32] from Operation: 1*32=32 Current State: 72:[24, 35, 32], Operations: ['1*32=32'] Exploring Operation: 35-32=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 35-32=3 Current State: 72:[24, 3], Operations: ['1*32=32', '35-32=3'] Exploring Operation: 24*3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 21, 60, 39, 3 ]
39
[ "21+60=81", "39+3=42", "81-42=39" ]
Current State: 39:[21, 60, 39, 3], Operations: [] Exploring Operation: 21+60=81, Resulting Numbers: [39, 3, 81] Generated Node #2: [39, 3, 81] from Operation: 21+60=81 Current State: 39:[39, 3, 81], Operations: ['21+60=81'] Exploring Operation: 39+3=42, Resulting Numbers: [81, 42] Generated Node #3: [81, 42] from Operation: 39+3=42 Current State: 39:[81, 42], Operations: ['21+60=81', '39+3=42'] Exploring Operation: 81-42=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 47, 10, 15, 18 ]
85
[ "47+18=65", "10*15=150", "150-65=85" ]
Current State: 85:[47, 10, 15, 18], Operations: [] Exploring Operation: 47+18=65, Resulting Numbers: [10, 15, 65] Generated Node #2: [10, 15, 65] from Operation: 47+18=65 Current State: 85:[10, 15, 65], Operations: ['47+18=65'] Exploring Operation: 10*15=150, Resulting Numbers: [65, 150] Generated Node #3: [65, 150] from Operation: 10*15=150 Current State: 85:[65, 150], Operations: ['47+18=65', '10*15=150'] Exploring Operation: 150-65=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 28, 3, 22, 80 ]
70
[ "28+22=50", "3*50=150", "150-80=70" ]
Current State: 70:[28, 3, 22, 80], Operations: [] Exploring Operation: 28+22=50, Resulting Numbers: [3, 80, 50] Generated Node #2: [3, 80, 50] from Operation: 28+22=50 Current State: 70:[3, 80, 50], Operations: ['28+22=50'] Exploring Operation: 3*50=150, Resulting Numbers: [80, 150] Generated Node #3: [80, 150] from Operation: 3*50=150 Current State: 70:[80, 150], Operations: ['28+22=50', '3*50=150'] Exploring Operation: 150-80=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 2, 46, 28, 47 ]
63
[ "46-2=44", "47-28=19", "44+19=63" ]
Current State: 63:[2, 46, 28, 47], Operations: [] Exploring Operation: 46-2=44, Resulting Numbers: [28, 47, 44] Generated Node #2: [28, 47, 44] from Operation: 46-2=44 Current State: 63:[28, 47, 44], Operations: ['46-2=44'] Exploring Operation: 47-28=19, Resulting Numbers: [44, 19] Generated Node #3: [44, 19] from Operation: 47-28=19 Current State: 63:[44, 19], Operations: ['46-2=44', '47-28=19'] Exploring Operation: 44+19=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 91, 12, 49, 28 ]
88
[ "91*12=1092", "1092/28=39", "49+39=88" ]
Current State: 88:[91, 12, 49, 28], Operations: [] Exploring Operation: 91*12=1092, Resulting Numbers: [49, 28, 1092] Generated Node #2: [49, 28, 1092] from Operation: 91*12=1092 Current State: 88:[49, 28, 1092], Operations: ['91*12=1092'] Exploring Operation: 1092/28=39, Resulting Numbers: [49, 39] Generated Node #3: [49, 39] from Operation: 1092/28=39 Current State: 88:[49, 39], Operations: ['91*12=1092', '1092/28=39'] Exploring Operation: 49+39=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 60, 30, 24, 23 ]
52
[ "60*30=1800", "1800/24=75", "75-23=52" ]
Current State: 52:[60, 30, 24, 23], Operations: [] Exploring Operation: 60*30=1800, Resulting Numbers: [24, 23, 1800] Generated Node #2: [24, 23, 1800] from Operation: 60*30=1800 Current State: 52:[24, 23, 1800], Operations: ['60*30=1800'] Exploring Operation: 1800/24=75, Resulting Numbers: [23, 75] Generated Node #3: [23, 75] from Operation: 1800/24=75 Current State: 52:[23, 75], Operations: ['60*30=1800', '1800/24=75'] Exploring Operation: 75-23=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 40, 16, 64, 45 ]
88
[ "64*45=2880", "2880/40=72", "16+72=88" ]
Current State: 88:[40, 16, 64, 45], Operations: [] Exploring Operation: 64*45=2880, Resulting Numbers: [40, 16, 2880] Generated Node #2: [40, 16, 2880] from Operation: 64*45=2880 Current State: 88:[40, 16, 2880], Operations: ['64*45=2880'] Exploring Operation: 2880/40=72, Resulting Numbers: [16, 72] Generated Node #3: [16, 72] from Operation: 2880/40=72 Current State: 88:[16, 72], Operations: ['64*45=2880', '2880/40=72'] Exploring Operation: 16+72=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 73, 37, 37, 6 ]
43
[ "73-37=36", "36/6=6", "37+6=43" ]
Current State: 43:[73, 37, 37, 6], Operations: [] Exploring Operation: 73-37=36, Resulting Numbers: [6, 36] Generated Node #2: [6, 36] from Operation: 73-37=36 Current State: 43:[6, 36], Operations: ['73-37=36'] Exploring Operation: 36/6=6, Resulting Numbers: [6] 6,43 equal: Goal Reached Exploring Operation: 37+6=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 39, 8, 41, 29 ]
42
[ "41-39=2", "29-8=21", "2*21=42" ]
Current State: 42:[39, 8, 41, 29], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [8, 29, 2] Generated Node #2: [8, 29, 2] from Operation: 41-39=2 Current State: 42:[8, 29, 2], Operations: ['41-39=2'] Exploring Operation: 29-8=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 29-8=21 Current State: 42:[2, 21], Operations: ['41-39=2', '29-8=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 27, 3, 34, 93 ]
38
[ "34-27=7", "93/3=31", "7+31=38" ]
Current State: 38:[27, 3, 34, 93], Operations: [] Exploring Operation: 34-27=7, Resulting Numbers: [3, 93, 7] Generated Node #2: [3, 93, 7] from Operation: 34-27=7 Current State: 38:[3, 93, 7], Operations: ['34-27=7'] Exploring Operation: 93/3=31, Resulting Numbers: [7, 31] Generated Node #3: [7, 31] from Operation: 93/3=31 Current State: 38:[7, 31], Operations: ['34-27=7', '93/3=31'] Exploring Operation: 7+31=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 27, 32, 20, 25 ]
13
[ "32*25=800", "800/20=40", "40-27=13" ]
Current State: 13:[27, 32, 20, 25], Operations: [] Exploring Operation: 32*25=800, Resulting Numbers: [27, 20, 800] Generated Node #2: [27, 20, 800] from Operation: 32*25=800 Current State: 13:[27, 20, 800], Operations: ['32*25=800'] Exploring Operation: 800/20=40, Resulting Numbers: [27, 40] Generated Node #3: [27, 40] from Operation: 800/20=40 Current State: 13:[27, 40], Operations: ['32*25=800', '800/20=40'] Exploring Operation: 40-27=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 29, 76, 87, 83 ]
43
[ "76-29=47", "87-83=4", "47-4=43" ]
Current State: 43:[29, 76, 87, 83], Operations: [] Exploring Operation: 76-29=47, Resulting Numbers: [87, 83, 47] Generated Node #2: [87, 83, 47] from Operation: 76-29=47 Current State: 43:[87, 83, 47], Operations: ['76-29=47'] Exploring Operation: 87-83=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 87-83=4 Current State: 43:[47, 4], Operations: ['76-29=47', '87-83=4'] Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 44, 1, 61, 94 ]
11
[ "44*1=44", "94-61=33", "44-33=11" ]
Current State: 11:[44, 1, 61, 94], Operations: [] Exploring Operation: 44*1=44, Resulting Numbers: [61, 94, 44] Generated Node #2: [61, 94, 44] from Operation: 44*1=44 Current State: 11:[61, 94, 44], Operations: ['44*1=44'] Exploring Operation: 94-61=33, Resulting Numbers: [44, 33] Generated Node #3: [44, 33] from Operation: 94-61=33 Current State: 11:[44, 33], Operations: ['44*1=44', '94-61=33'] Exploring Operation: 44-33=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 10, 76, 73, 58 ]
88
[ "76-73=3", "10*3=30", "58+30=88" ]
Current State: 88:[10, 76, 73, 58], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [10, 58, 3] Generated Node #2: [10, 58, 3] from Operation: 76-73=3 Current State: 88:[10, 58, 3], Operations: ['76-73=3'] Exploring Operation: 10*3=30, Resulting Numbers: [58, 30] Generated Node #3: [58, 30] from Operation: 10*3=30 Current State: 88:[58, 30], Operations: ['76-73=3', '10*3=30'] Exploring Operation: 58+30=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 85, 5, 57, 79 ]
56
[ "85-5=80", "57+79=136", "136-80=56" ]
Current State: 56:[85, 5, 57, 79], Operations: [] Exploring Operation: 85-5=80, Resulting Numbers: [57, 79, 80] Generated Node #2: [57, 79, 80] from Operation: 85-5=80 Current State: 56:[57, 79, 80], Operations: ['85-5=80'] Exploring Operation: 57+79=136, Resulting Numbers: [80, 136] Generated Node #3: [80, 136] from Operation: 57+79=136 Current State: 56:[80, 136], Operations: ['85-5=80', '57+79=136'] Exploring Operation: 136-80=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 17, 25, 51, 38 ]
100
[ "51-17=34", "38-34=4", "25*4=100" ]
Current State: 100:[17, 25, 51, 38], Operations: [] Exploring Operation: 51-17=34, Resulting Numbers: [25, 38, 34] Generated Node #2: [25, 38, 34] from Operation: 51-17=34 Current State: 100:[25, 38, 34], Operations: ['51-17=34'] Exploring Operation: 38-34=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 38-34=4 Current State: 100:[25, 4], Operations: ['51-17=34', '38-34=4'] Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 83, 42, 85, 17 ]
57
[ "83+42=125", "85-17=68", "125-68=57" ]
Current State: 57:[83, 42, 85, 17], Operations: [] Exploring Operation: 83+42=125, Resulting Numbers: [85, 17, 125] Generated Node #2: [85, 17, 125] from Operation: 83+42=125 Current State: 57:[85, 17, 125], Operations: ['83+42=125'] Exploring Operation: 85-17=68, Resulting Numbers: [125, 68] Generated Node #3: [125, 68] from Operation: 85-17=68 Current State: 57:[125, 68], Operations: ['83+42=125', '85-17=68'] Exploring Operation: 125-68=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 93, 61, 51, 9 ]
93
[ "61-51=10", "10-9=1", "93*1=93" ]
Current State: 93:[93, 61, 51, 9], Operations: [] Exploring Operation: 61-51=10, Resulting Numbers: [93, 9, 10] Generated Node #2: [93, 9, 10] from Operation: 61-51=10 Current State: 93:[93, 9, 10], Operations: ['61-51=10'] Exploring Operation: 10-9=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 10-9=1 Current State: 93:[93, 1], Operations: ['61-51=10', '10-9=1'] Exploring Operation: 93*1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 74, 50, 29, 98 ]
58
[ "50+98=148", "148/74=2", "29*2=58" ]
Current State: 58:[74, 50, 29, 98], Operations: [] Exploring Operation: 50+98=148, Resulting Numbers: [74, 29, 148] Generated Node #2: [74, 29, 148] from Operation: 50+98=148 Current State: 58:[74, 29, 148], Operations: ['50+98=148'] Exploring Operation: 148/74=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 148/74=2 Current State: 58:[29, 2], Operations: ['50+98=148', '148/74=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 52, 69, 1, 30 ]
13
[ "69-52=17", "1*30=30", "30-17=13" ]
Current State: 13:[52, 69, 1, 30], Operations: [] Exploring Operation: 69-52=17, Resulting Numbers: [1, 30, 17] Generated Node #2: [1, 30, 17] from Operation: 69-52=17 Current State: 13:[1, 30, 17], Operations: ['69-52=17'] Exploring Operation: 1*30=30, Resulting Numbers: [17, 30] Generated Node #3: [17, 30] from Operation: 1*30=30 Current State: 13:[17, 30], Operations: ['69-52=17', '1*30=30'] Exploring Operation: 30-17=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 31, 96, 55, 26 ]
85
[ "31-26=5", "55/5=11", "96-11=85" ]
Current State: 85:[31, 96, 55, 26], Operations: [] Exploring Operation: 31-26=5, Resulting Numbers: [96, 55, 5] Generated Node #2: [96, 55, 5] from Operation: 31-26=5 Current State: 85:[96, 55, 5], Operations: ['31-26=5'] Exploring Operation: 55/5=11, Resulting Numbers: [96, 11] Generated Node #3: [96, 11] from Operation: 55/5=11 Current State: 85:[96, 11], Operations: ['31-26=5', '55/5=11'] Exploring Operation: 96-11=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 6, 39, 6, 90 ]
54
[ "6*39=234", "90+234=324", "324/6=54" ]
Current State: 54:[6, 39, 6, 90], Operations: [] Exploring Operation: 6*39=234, Resulting Numbers: [90, 234] Generated Node #2: [90, 234] from Operation: 6*39=234 Current State: 54:[90, 234], Operations: ['6*39=234'] Exploring Operation: 90+234=324, Resulting Numbers: [324] 324,54 equal: Goal Reached Exploring Operation: 324/6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 94, 51, 58, 12 ]
54
[ "94-58=36", "36/12=3", "51+3=54" ]
Current State: 54:[94, 51, 58, 12], Operations: [] Exploring Operation: 94-58=36, Resulting Numbers: [51, 12, 36] Generated Node #2: [51, 12, 36] from Operation: 94-58=36 Current State: 54:[51, 12, 36], Operations: ['94-58=36'] Exploring Operation: 36/12=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 36/12=3 Current State: 54:[51, 3], Operations: ['94-58=36', '36/12=3'] Exploring Operation: 51+3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 55, 7, 16, 91 ]
94
[ "55-7=48", "48/16=3", "91+3=94" ]
Current State: 94:[55, 7, 16, 91], Operations: [] Exploring Operation: 55-7=48, Resulting Numbers: [16, 91, 48] Generated Node #2: [16, 91, 48] from Operation: 55-7=48 Current State: 94:[16, 91, 48], Operations: ['55-7=48'] Exploring Operation: 48/16=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 48/16=3 Current State: 94:[91, 3], Operations: ['55-7=48', '48/16=3'] Exploring Operation: 91+3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 50, 52, 89, 81 ]
94
[ "50+52=102", "89-81=8", "102-8=94" ]
Current State: 94:[50, 52, 89, 81], Operations: [] Exploring Operation: 50+52=102, Resulting Numbers: [89, 81, 102] Generated Node #2: [89, 81, 102] from Operation: 50+52=102 Current State: 94:[89, 81, 102], Operations: ['50+52=102'] Exploring Operation: 89-81=8, Resulting Numbers: [102, 8] Generated Node #3: [102, 8] from Operation: 89-81=8 Current State: 94:[102, 8], Operations: ['50+52=102', '89-81=8'] Exploring Operation: 102-8=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 78, 7, 8, 71 ]
87
[ "71-8=63", "63/7=9", "78+9=87" ]
Current State: 87:[78, 7, 8, 71], Operations: [] Exploring Operation: 71-8=63, Resulting Numbers: [78, 7, 63] Generated Node #2: [78, 7, 63] from Operation: 71-8=63 Current State: 87:[78, 7, 63], Operations: ['71-8=63'] Exploring Operation: 63/7=9, Resulting Numbers: [78, 9] Generated Node #3: [78, 9] from Operation: 63/7=9 Current State: 87:[78, 9], Operations: ['71-8=63', '63/7=9'] Exploring Operation: 78+9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 6, 1, 64, 5 ]
75
[ "6*1=6", "64+5=69", "6+69=75" ]
Current State: 75:[6, 1, 64, 5], Operations: [] Exploring Operation: 6*1=6, Resulting Numbers: [64, 5, 6] Generated Node #2: [64, 5, 6] from Operation: 6*1=6 Current State: 75:[64, 5, 6], Operations: ['6*1=6'] Exploring Operation: 64+5=69, Resulting Numbers: [6, 69] Generated Node #3: [6, 69] from Operation: 64+5=69 Current State: 75:[6, 69], Operations: ['6*1=6', '64+5=69'] Exploring Operation: 6+69=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 6, 26, 34, 69 ]
21
[ "34-26=8", "6*8=48", "69-48=21" ]
Current State: 21:[6, 26, 34, 69], Operations: [] Exploring Operation: 34-26=8, Resulting Numbers: [6, 69, 8] Generated Node #2: [6, 69, 8] from Operation: 34-26=8 Current State: 21:[6, 69, 8], Operations: ['34-26=8'] Exploring Operation: 6*8=48, Resulting Numbers: [69, 48] Generated Node #3: [69, 48] from Operation: 6*8=48 Current State: 21:[69, 48], Operations: ['34-26=8', '6*8=48'] Exploring Operation: 69-48=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 79, 56, 60, 41 ]
78
[ "79-56=23", "60+41=101", "101-23=78" ]
Current State: 78:[79, 56, 60, 41], Operations: [] Exploring Operation: 79-56=23, Resulting Numbers: [60, 41, 23] Generated Node #2: [60, 41, 23] from Operation: 79-56=23 Current State: 78:[60, 41, 23], Operations: ['79-56=23'] Exploring Operation: 60+41=101, Resulting Numbers: [23, 101] Generated Node #3: [23, 101] from Operation: 60+41=101 Current State: 78:[23, 101], Operations: ['79-56=23', '60+41=101'] Exploring Operation: 101-23=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 14, 84, 1, 39 ]
60
[ "14+84=98", "39-1=38", "98-38=60" ]
Current State: 60:[14, 84, 1, 39], Operations: [] Exploring Operation: 14+84=98, Resulting Numbers: [1, 39, 98] Generated Node #2: [1, 39, 98] from Operation: 14+84=98 Current State: 60:[1, 39, 98], Operations: ['14+84=98'] Exploring Operation: 39-1=38, Resulting Numbers: [98, 38] Generated Node #3: [98, 38] from Operation: 39-1=38 Current State: 60:[98, 38], Operations: ['14+84=98', '39-1=38'] Exploring Operation: 98-38=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 7, 27, 99, 91 ]
12
[ "27-7=20", "99-91=8", "20-8=12" ]
Current State: 12:[7, 27, 99, 91], Operations: [] Exploring Operation: 27-7=20, Resulting Numbers: [99, 91, 20] Generated Node #2: [99, 91, 20] from Operation: 27-7=20 Current State: 12:[99, 91, 20], Operations: ['27-7=20'] Exploring Operation: 99-91=8, Resulting Numbers: [20, 8] Generated Node #3: [20, 8] from Operation: 99-91=8 Current State: 12:[20, 8], Operations: ['27-7=20', '99-91=8'] Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 22, 54, 72, 46 ]
50
[ "22+54=76", "72-46=26", "76-26=50" ]
Current State: 50:[22, 54, 72, 46], Operations: [] Exploring Operation: 22+54=76, Resulting Numbers: [72, 46, 76] Generated Node #2: [72, 46, 76] from Operation: 22+54=76 Current State: 50:[72, 46, 76], Operations: ['22+54=76'] Exploring Operation: 72-46=26, Resulting Numbers: [76, 26] Generated Node #3: [76, 26] from Operation: 72-46=26 Current State: 50:[76, 26], Operations: ['22+54=76', '72-46=26'] Exploring Operation: 76-26=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 50, 94, 20, 52 ]
90
[ "50*94=4700", "4700-20=4680", "4680/52=90" ]
Current State: 90:[50, 94, 20, 52], Operations: [] Exploring Operation: 50*94=4700, Resulting Numbers: [20, 52, 4700] Generated Node #2: [20, 52, 4700] from Operation: 50*94=4700 Current State: 90:[20, 52, 4700], Operations: ['50*94=4700'] Exploring Operation: 4700-20=4680, Resulting Numbers: [52, 4680] Generated Node #3: [52, 4680] from Operation: 4700-20=4680 Current State: 90:[52, 4680], Operations: ['50*94=4700', '4700-20=4680'] Exploring Operation: 4680/52=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 98, 35, 61, 11 ]
83
[ "98+35=133", "61-11=50", "133-50=83" ]
Current State: 83:[98, 35, 61, 11], Operations: [] Exploring Operation: 98+35=133, Resulting Numbers: [61, 11, 133] Generated Node #2: [61, 11, 133] from Operation: 98+35=133 Current State: 83:[61, 11, 133], Operations: ['98+35=133'] Exploring Operation: 61-11=50, Resulting Numbers: [133, 50] Generated Node #3: [133, 50] from Operation: 61-11=50 Current State: 83:[133, 50], Operations: ['98+35=133', '61-11=50'] Exploring Operation: 133-50=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 89, 23, 9, 42 ]
79
[ "89+23=112", "42-9=33", "112-33=79" ]
Current State: 79:[89, 23, 9, 42], Operations: [] Exploring Operation: 89+23=112, Resulting Numbers: [9, 42, 112] Generated Node #2: [9, 42, 112] from Operation: 89+23=112 Current State: 79:[9, 42, 112], Operations: ['89+23=112'] Exploring Operation: 42-9=33, Resulting Numbers: [112, 33] Generated Node #3: [112, 33] from Operation: 42-9=33 Current State: 79:[112, 33], Operations: ['89+23=112', '42-9=33'] Exploring Operation: 112-33=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 15, 91, 18, 79 ]
90
[ "91-18=73", "79-73=6", "15*6=90" ]
Current State: 90:[15, 91, 18, 79], Operations: [] Exploring Operation: 91-18=73, Resulting Numbers: [15, 79, 73] Generated Node #2: [15, 79, 73] from Operation: 91-18=73 Current State: 90:[15, 79, 73], Operations: ['91-18=73'] Exploring Operation: 79-73=6, Resulting Numbers: [15, 6] Generated Node #3: [15, 6] from Operation: 79-73=6 Current State: 90:[15, 6], Operations: ['91-18=73', '79-73=6'] Exploring Operation: 15*6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 60, 20, 42, 59 ]
14
[ "60/20=3", "59-42=17", "17-3=14" ]
Current State: 14:[60, 20, 42, 59], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [42, 59, 3] Generated Node #2: [42, 59, 3] from Operation: 60/20=3 Current State: 14:[42, 59, 3], Operations: ['60/20=3'] Exploring Operation: 59-42=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 59-42=17 Current State: 14:[3, 17], Operations: ['60/20=3', '59-42=17'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 91, 79, 83, 18 ]
53
[ "91-79=12", "83-18=65", "65-12=53" ]
Current State: 53:[91, 79, 83, 18], Operations: [] Exploring Operation: 91-79=12, Resulting Numbers: [83, 18, 12] Generated Node #2: [83, 18, 12] from Operation: 91-79=12 Current State: 53:[83, 18, 12], Operations: ['91-79=12'] Exploring Operation: 83-18=65, Resulting Numbers: [12, 65] Generated Node #3: [12, 65] from Operation: 83-18=65 Current State: 53:[12, 65], Operations: ['91-79=12', '83-18=65'] Exploring Operation: 65-12=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 54, 45, 43, 34 ]
11
[ "54+45=99", "43-34=9", "99/9=11" ]
Current State: 11:[54, 45, 43, 34], Operations: [] Exploring Operation: 54+45=99, Resulting Numbers: [43, 34, 99] Generated Node #2: [43, 34, 99] from Operation: 54+45=99 Current State: 11:[43, 34, 99], Operations: ['54+45=99'] Exploring Operation: 43-34=9, Resulting Numbers: [99, 9] Generated Node #3: [99, 9] from Operation: 43-34=9 Current State: 11:[99, 9], Operations: ['54+45=99', '43-34=9'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 37, 17, 65, 26 ]
59
[ "37-17=20", "65-26=39", "20+39=59" ]
Current State: 59:[37, 17, 65, 26], Operations: [] Exploring Operation: 37-17=20, Resulting Numbers: [65, 26, 20] Generated Node #2: [65, 26, 20] from Operation: 37-17=20 Current State: 59:[65, 26, 20], Operations: ['37-17=20'] Exploring Operation: 65-26=39, Resulting Numbers: [20, 39] Generated Node #3: [20, 39] from Operation: 65-26=39 Current State: 59:[20, 39], Operations: ['37-17=20', '65-26=39'] Exploring Operation: 20+39=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 12, 33, 99, 83 ]
72
[ "33+99=132", "132/12=11", "83-11=72" ]
Current State: 72:[12, 33, 99, 83], Operations: [] Exploring Operation: 33+99=132, Resulting Numbers: [12, 83, 132] Generated Node #2: [12, 83, 132] from Operation: 33+99=132 Current State: 72:[12, 83, 132], Operations: ['33+99=132'] Exploring Operation: 132/12=11, Resulting Numbers: [83, 11] Generated Node #3: [83, 11] from Operation: 132/12=11 Current State: 72:[83, 11], Operations: ['33+99=132', '132/12=11'] Exploring Operation: 83-11=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 84, 13, 6, 75 ]
75
[ "84/6=14", "14-13=1", "75*1=75" ]
Current State: 75:[84, 13, 6, 75], Operations: [] Exploring Operation: 84/6=14, Resulting Numbers: [13, 75, 14] Generated Node #2: [13, 75, 14] from Operation: 84/6=14 Current State: 75:[13, 75, 14], Operations: ['84/6=14'] Exploring Operation: 14-13=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 14-13=1 Current State: 75:[75, 1], Operations: ['84/6=14', '14-13=1'] Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 61, 61, 12, 69 ]
58
[ "61/61=1", "69-12=57", "1+57=58" ]
Current State: 58:[61, 61, 12, 69], Operations: [] Exploring Operation: 61/61=1, Resulting Numbers: [12, 69, 1] Generated Node #2: [12, 69, 1] from Operation: 61/61=1 Current State: 58:[12, 69, 1], Operations: ['61/61=1'] Exploring Operation: 69-12=57, Resulting Numbers: [1, 57] Generated Node #3: [1, 57] from Operation: 69-12=57 Current State: 58:[1, 57], Operations: ['61/61=1', '69-12=57'] Exploring Operation: 1+57=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 5, 97, 20, 5 ]
15
[ "5*20=100", "100-97=3", "5*3=15" ]
Current State: 15:[5, 97, 20, 5], Operations: [] Exploring Operation: 5*20=100, Resulting Numbers: [97, 100] Generated Node #2: [97, 100] from Operation: 5*20=100 Current State: 15:[97, 100], Operations: ['5*20=100'] Exploring Operation: 100-97=3, Resulting Numbers: [3] 3,15 equal: Goal Reached Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 45, 79, 48, 14 ]
68
[ "79-45=34", "48-14=34", "34+34=68" ]
Current State: 68:[45, 79, 48, 14], Operations: [] Exploring Operation: 79-45=34, Resulting Numbers: [48, 14, 34] Generated Node #2: [48, 14, 34] from Operation: 79-45=34 Current State: 68:[48, 14, 34], Operations: ['79-45=34'] Exploring Operation: 48-14=34, Resulting Numbers: [34, 34] Generated Node #3: [34, 34] from Operation: 48-14=34 Current State: 68:[34, 34], Operations: ['79-45=34', '48-14=34'] Exploring Operation: 34+34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 51, 97, 1, 8 ]
37
[ "97-51=46", "1+8=9", "46-9=37" ]
Current State: 37:[51, 97, 1, 8], Operations: [] Exploring Operation: 97-51=46, Resulting Numbers: [1, 8, 46] Generated Node #2: [1, 8, 46] from Operation: 97-51=46 Current State: 37:[1, 8, 46], Operations: ['97-51=46'] Exploring Operation: 1+8=9, Resulting Numbers: [46, 9] Generated Node #3: [46, 9] from Operation: 1+8=9 Current State: 37:[46, 9], Operations: ['97-51=46', '1+8=9'] Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 75, 44, 44, 20 ]
96
[ "75+20=95", "44/44=1", "95+1=96" ]
Current State: 96:[75, 44, 44, 20], Operations: [] Exploring Operation: 75+20=95, Resulting Numbers: [44, 44, 95] Generated Node #2: [44, 44, 95] from Operation: 75+20=95 Current State: 96:[44, 44, 95], Operations: ['75+20=95'] Exploring Operation: 44/44=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 44/44=1 Current State: 96:[95, 1], Operations: ['75+20=95', '44/44=1'] Exploring Operation: 95+1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 74, 70, 7, 39 ]
36
[ "74-70=4", "39-7=32", "4+32=36" ]
Current State: 36:[74, 70, 7, 39], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [7, 39, 4] Generated Node #2: [7, 39, 4] from Operation: 74-70=4 Current State: 36:[7, 39, 4], Operations: ['74-70=4'] Exploring Operation: 39-7=32, Resulting Numbers: [4, 32] Generated Node #3: [4, 32] from Operation: 39-7=32 Current State: 36:[4, 32], Operations: ['74-70=4', '39-7=32'] Exploring Operation: 4+32=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 88, 99, 91 ]
99
[ "2+88=90", "91-90=1", "99*1=99" ]
Current State: 99:[2, 88, 99, 91], Operations: [] Exploring Operation: 2+88=90, Resulting Numbers: [99, 91, 90] Generated Node #2: [99, 91, 90] from Operation: 2+88=90 Current State: 99:[99, 91, 90], Operations: ['2+88=90'] Exploring Operation: 91-90=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 91-90=1 Current State: 99:[99, 1], Operations: ['2+88=90', '91-90=1'] Exploring Operation: 99*1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 77, 54, 67, 61 ]
29
[ "77-54=23", "67-61=6", "23+6=29" ]
Current State: 29:[77, 54, 67, 61], Operations: [] Exploring Operation: 77-54=23, Resulting Numbers: [67, 61, 23] Generated Node #2: [67, 61, 23] from Operation: 77-54=23 Current State: 29:[67, 61, 23], Operations: ['77-54=23'] Exploring Operation: 67-61=6, Resulting Numbers: [23, 6] Generated Node #3: [23, 6] from Operation: 67-61=6 Current State: 29:[23, 6], Operations: ['77-54=23', '67-61=6'] Exploring Operation: 23+6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 32, 89, 5, 2 ]
19
[ "89-32=57", "5-2=3", "57/3=19" ]
Current State: 19:[32, 89, 5, 2], Operations: [] Exploring Operation: 89-32=57, Resulting Numbers: [5, 2, 57] Generated Node #2: [5, 2, 57] from Operation: 89-32=57 Current State: 19:[5, 2, 57], Operations: ['89-32=57'] Exploring Operation: 5-2=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 5-2=3 Current State: 19:[57, 3], Operations: ['89-32=57', '5-2=3'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 10, 24, 15, 35 ]
95
[ "35-24=11", "10*11=110", "110-15=95" ]
Current State: 95:[10, 24, 15, 35], Operations: [] Exploring Operation: 35-24=11, Resulting Numbers: [10, 15, 11] Generated Node #2: [10, 15, 11] from Operation: 35-24=11 Current State: 95:[10, 15, 11], Operations: ['35-24=11'] Exploring Operation: 10*11=110, Resulting Numbers: [15, 110] Generated Node #3: [15, 110] from Operation: 10*11=110 Current State: 95:[15, 110], Operations: ['35-24=11', '10*11=110'] Exploring Operation: 110-15=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 55, 53, 49, 72 ]
41
[ "55-49=6", "72/6=12", "53-12=41" ]
Current State: 41:[55, 53, 49, 72], Operations: [] Exploring Operation: 55-49=6, Resulting Numbers: [53, 72, 6] Generated Node #2: [53, 72, 6] from Operation: 55-49=6 Current State: 41:[53, 72, 6], Operations: ['55-49=6'] Exploring Operation: 72/6=12, Resulting Numbers: [53, 12] Generated Node #3: [53, 12] from Operation: 72/6=12 Current State: 41:[53, 12], Operations: ['55-49=6', '72/6=12'] Exploring Operation: 53-12=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 79, 43, 5, 23 ]
65
[ "79-43=36", "36-23=13", "5*13=65" ]
Current State: 65:[79, 43, 5, 23], Operations: [] Exploring Operation: 79-43=36, Resulting Numbers: [5, 23, 36] Generated Node #2: [5, 23, 36] from Operation: 79-43=36 Current State: 65:[5, 23, 36], Operations: ['79-43=36'] Exploring Operation: 36-23=13, Resulting Numbers: [5, 13] Generated Node #3: [5, 13] from Operation: 36-23=13 Current State: 65:[5, 13], Operations: ['79-43=36', '36-23=13'] Exploring Operation: 5*13=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 16, 32, 35, 69 ]
88
[ "32-16=16", "35+69=104", "104-16=88" ]
Current State: 88:[16, 32, 35, 69], Operations: [] Exploring Operation: 32-16=16, Resulting Numbers: [35, 69, 16] Generated Node #2: [35, 69, 16] from Operation: 32-16=16 Current State: 88:[35, 69, 16], Operations: ['32-16=16'] Exploring Operation: 35+69=104, Resulting Numbers: [16, 104] Generated Node #3: [16, 104] from Operation: 35+69=104 Current State: 88:[16, 104], Operations: ['32-16=16', '35+69=104'] Exploring Operation: 104-16=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 96, 90, 51, 19 ]
87
[ "51-19=32", "96/32=3", "90-3=87" ]
Current State: 87:[96, 90, 51, 19], Operations: [] Exploring Operation: 51-19=32, Resulting Numbers: [96, 90, 32] Generated Node #2: [96, 90, 32] from Operation: 51-19=32 Current State: 87:[96, 90, 32], Operations: ['51-19=32'] Exploring Operation: 96/32=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 96/32=3 Current State: 87:[90, 3], Operations: ['51-19=32', '96/32=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 96, 96, 14, 97 ]
84
[ "96/96=1", "97-14=83", "1+83=84" ]
Current State: 84:[96, 96, 14, 97], Operations: [] Exploring Operation: 96/96=1, Resulting Numbers: [14, 97, 1] Generated Node #2: [14, 97, 1] from Operation: 96/96=1 Current State: 84:[14, 97, 1], Operations: ['96/96=1'] Exploring Operation: 97-14=83, Resulting Numbers: [1, 83] Generated Node #3: [1, 83] from Operation: 97-14=83 Current State: 84:[1, 83], Operations: ['96/96=1', '97-14=83'] Exploring Operation: 1+83=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 5, 38, 41, 40 ]
31
[ "40-38=2", "5*2=10", "41-10=31" ]
Current State: 31:[5, 38, 41, 40], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [5, 41, 2] Generated Node #2: [5, 41, 2] from Operation: 40-38=2 Current State: 31:[5, 41, 2], Operations: ['40-38=2'] Exploring Operation: 5*2=10, Resulting Numbers: [41, 10] Generated Node #3: [41, 10] from Operation: 5*2=10 Current State: 31:[41, 10], Operations: ['40-38=2', '5*2=10'] Exploring Operation: 41-10=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 15, 66, 33, 63 ]
50
[ "63-15=48", "66/33=2", "48+2=50" ]
Current State: 50:[15, 66, 33, 63], Operations: [] Exploring Operation: 63-15=48, Resulting Numbers: [66, 33, 48] Generated Node #2: [66, 33, 48] from Operation: 63-15=48 Current State: 50:[66, 33, 48], Operations: ['63-15=48'] Exploring Operation: 66/33=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 66/33=2 Current State: 50:[48, 2], Operations: ['63-15=48', '66/33=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 47, 59, 15, 51 ]
40
[ "47+59=106", "15+51=66", "106-66=40" ]
Current State: 40:[47, 59, 15, 51], Operations: [] Exploring Operation: 47+59=106, Resulting Numbers: [15, 51, 106] Generated Node #2: [15, 51, 106] from Operation: 47+59=106 Current State: 40:[15, 51, 106], Operations: ['47+59=106'] Exploring Operation: 15+51=66, Resulting Numbers: [106, 66] Generated Node #3: [106, 66] from Operation: 15+51=66 Current State: 40:[106, 66], Operations: ['47+59=106', '15+51=66'] Exploring Operation: 106-66=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 87, 23, 41, 44 ]
18
[ "44-41=3", "23*3=69", "87-69=18" ]
Current State: 18:[87, 23, 41, 44], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [87, 23, 3] Generated Node #2: [87, 23, 3] from Operation: 44-41=3 Current State: 18:[87, 23, 3], Operations: ['44-41=3'] Exploring Operation: 23*3=69, Resulting Numbers: [87, 69] Generated Node #3: [87, 69] from Operation: 23*3=69 Current State: 18:[87, 69], Operations: ['44-41=3', '23*3=69'] Exploring Operation: 87-69=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 24, 1, 32 ]
65
[ "4*24=96", "32-1=31", "96-31=65" ]
Current State: 65:[4, 24, 1, 32], Operations: [] Exploring Operation: 4*24=96, Resulting Numbers: [1, 32, 96] Generated Node #2: [1, 32, 96] from Operation: 4*24=96 Current State: 65:[1, 32, 96], Operations: ['4*24=96'] Exploring Operation: 32-1=31, Resulting Numbers: [96, 31] Generated Node #3: [96, 31] from Operation: 32-1=31 Current State: 65:[96, 31], Operations: ['4*24=96', '32-1=31'] Exploring Operation: 96-31=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 19, 31, 75, 20 ]
30
[ "19+31=50", "75*20=1500", "1500/50=30" ]
Current State: 30:[19, 31, 75, 20], Operations: [] Exploring Operation: 19+31=50, Resulting Numbers: [75, 20, 50] Generated Node #2: [75, 20, 50] from Operation: 19+31=50 Current State: 30:[75, 20, 50], Operations: ['19+31=50'] Exploring Operation: 75*20=1500, Resulting Numbers: [50, 1500] Generated Node #3: [50, 1500] from Operation: 75*20=1500 Current State: 30:[50, 1500], Operations: ['19+31=50', '75*20=1500'] Exploring Operation: 1500/50=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 20, 81, 45, 54 ]
23
[ "81+54=135", "135/45=3", "20+3=23" ]
Current State: 23:[20, 81, 45, 54], Operations: [] Exploring Operation: 81+54=135, Resulting Numbers: [20, 45, 135] Generated Node #2: [20, 45, 135] from Operation: 81+54=135 Current State: 23:[20, 45, 135], Operations: ['81+54=135'] Exploring Operation: 135/45=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 135/45=3 Current State: 23:[20, 3], Operations: ['81+54=135', '135/45=3'] Exploring Operation: 20+3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 35, 41, 57, 52 ]
39
[ "35+41=76", "57*52=2964", "2964/76=39" ]
Current State: 39:[35, 41, 57, 52], Operations: [] Exploring Operation: 35+41=76, Resulting Numbers: [57, 52, 76] Generated Node #2: [57, 52, 76] from Operation: 35+41=76 Current State: 39:[57, 52, 76], Operations: ['35+41=76'] Exploring Operation: 57*52=2964, Resulting Numbers: [76, 2964] Generated Node #3: [76, 2964] from Operation: 57*52=2964 Current State: 39:[76, 2964], Operations: ['35+41=76', '57*52=2964'] Exploring Operation: 2964/76=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 58, 56, 2, 73 ]
86
[ "73-58=15", "2*15=30", "56+30=86" ]
Current State: 86:[58, 56, 2, 73], Operations: [] Exploring Operation: 73-58=15, Resulting Numbers: [56, 2, 15] Generated Node #2: [56, 2, 15] from Operation: 73-58=15 Current State: 86:[56, 2, 15], Operations: ['73-58=15'] Exploring Operation: 2*15=30, Resulting Numbers: [56, 30] Generated Node #3: [56, 30] from Operation: 2*15=30 Current State: 86:[56, 30], Operations: ['73-58=15', '2*15=30'] Exploring Operation: 56+30=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 28, 47, 54, 23 ]
35
[ "28-23=5", "54-47=7", "5*7=35" ]
Current State: 35:[28, 47, 54, 23], Operations: [] Exploring Operation: 28-23=5, Resulting Numbers: [47, 54, 5] Generated Node #2: [47, 54, 5] from Operation: 28-23=5 Current State: 35:[47, 54, 5], Operations: ['28-23=5'] Exploring Operation: 54-47=7, Resulting Numbers: [5, 7] Generated Node #3: [5, 7] from Operation: 54-47=7 Current State: 35:[5, 7], Operations: ['28-23=5', '54-47=7'] Exploring Operation: 5*7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 71, 13, 88, 41 ]
37
[ "71+13=84", "88-41=47", "84-47=37" ]
Current State: 37:[71, 13, 88, 41], Operations: [] Exploring Operation: 71+13=84, Resulting Numbers: [88, 41, 84] Generated Node #2: [88, 41, 84] from Operation: 71+13=84 Current State: 37:[88, 41, 84], Operations: ['71+13=84'] Exploring Operation: 88-41=47, Resulting Numbers: [84, 47] Generated Node #3: [84, 47] from Operation: 88-41=47 Current State: 37:[84, 47], Operations: ['71+13=84', '88-41=47'] Exploring Operation: 84-47=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 50, 25, 28, 78 ]
31
[ "50+25=75", "28+78=106", "106-75=31" ]
Current State: 31:[50, 25, 28, 78], Operations: [] Exploring Operation: 50+25=75, Resulting Numbers: [28, 78, 75] Generated Node #2: [28, 78, 75] from Operation: 50+25=75 Current State: 31:[28, 78, 75], Operations: ['50+25=75'] Exploring Operation: 28+78=106, Resulting Numbers: [75, 106] Generated Node #3: [75, 106] from Operation: 28+78=106 Current State: 31:[75, 106], Operations: ['50+25=75', '28+78=106'] Exploring Operation: 106-75=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 38, 84, 75, 4 ]
58
[ "75-38=37", "84/4=21", "37+21=58" ]
Current State: 58:[38, 84, 75, 4], Operations: [] Exploring Operation: 75-38=37, Resulting Numbers: [84, 4, 37] Generated Node #2: [84, 4, 37] from Operation: 75-38=37 Current State: 58:[84, 4, 37], Operations: ['75-38=37'] Exploring Operation: 84/4=21, Resulting Numbers: [37, 21] Generated Node #3: [37, 21] from Operation: 84/4=21 Current State: 58:[37, 21], Operations: ['75-38=37', '84/4=21'] Exploring Operation: 37+21=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 59, 32, 58, 55 ]
66
[ "59-55=4", "32/4=8", "58+8=66" ]
Current State: 66:[59, 32, 58, 55], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [32, 58, 4] Generated Node #2: [32, 58, 4] from Operation: 59-55=4 Current State: 66:[32, 58, 4], Operations: ['59-55=4'] Exploring Operation: 32/4=8, Resulting Numbers: [58, 8] Generated Node #3: [58, 8] from Operation: 32/4=8 Current State: 66:[58, 8], Operations: ['59-55=4', '32/4=8'] Exploring Operation: 58+8=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 69, 42, 61, 2 ]
13
[ "69-61=8", "42/2=21", "21-8=13" ]
Current State: 13:[69, 42, 61, 2], Operations: [] Exploring Operation: 69-61=8, Resulting Numbers: [42, 2, 8] Generated Node #2: [42, 2, 8] from Operation: 69-61=8 Current State: 13:[42, 2, 8], Operations: ['69-61=8'] Exploring Operation: 42/2=21, Resulting Numbers: [8, 21] Generated Node #3: [8, 21] from Operation: 42/2=21 Current State: 13:[8, 21], Operations: ['69-61=8', '42/2=21'] Exploring Operation: 21-8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 80, 24, 45, 72 ]
29
[ "80-24=56", "72-45=27", "56-27=29" ]
Current State: 29:[80, 24, 45, 72], Operations: [] Exploring Operation: 80-24=56, Resulting Numbers: [45, 72, 56] Generated Node #2: [45, 72, 56] from Operation: 80-24=56 Current State: 29:[45, 72, 56], Operations: ['80-24=56'] Exploring Operation: 72-45=27, Resulting Numbers: [56, 27] Generated Node #3: [56, 27] from Operation: 72-45=27 Current State: 29:[56, 27], Operations: ['80-24=56', '72-45=27'] Exploring Operation: 56-27=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 17, 73, 32, 48 ]
72
[ "73-17=56", "48-32=16", "56+16=72" ]
Current State: 72:[17, 73, 32, 48], Operations: [] Exploring Operation: 73-17=56, Resulting Numbers: [32, 48, 56] Generated Node #2: [32, 48, 56] from Operation: 73-17=56 Current State: 72:[32, 48, 56], Operations: ['73-17=56'] Exploring Operation: 48-32=16, Resulting Numbers: [56, 16] Generated Node #3: [56, 16] from Operation: 48-32=16 Current State: 72:[56, 16], Operations: ['73-17=56', '48-32=16'] Exploring Operation: 56+16=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 20, 41, 14, 14 ]
21
[ "41-20=21", "14-14=0", "21+0=21" ]
Current State: 21:[20, 41, 14, 14], Operations: [] Exploring Operation: 41-20=21, Resulting Numbers: [14, 14, 21] Generated Node #2: [14, 14, 21] from Operation: 41-20=21 Current State: 21:[14, 14, 21], Operations: ['41-20=21'] Exploring Operation: 14-14=0, Resulting Numbers: [21, 0] Generated Node #3: [21, 0] from Operation: 14-14=0 Current State: 21:[21, 0], Operations: ['41-20=21', '14-14=0'] Exploring Operation: 21+0=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 18, 80, 73, 58 ]
96
[ "18*80=1440", "73-58=15", "1440/15=96" ]
Current State: 96:[18, 80, 73, 58], Operations: [] Exploring Operation: 18*80=1440, Resulting Numbers: [73, 58, 1440] Generated Node #2: [73, 58, 1440] from Operation: 18*80=1440 Current State: 96:[73, 58, 1440], Operations: ['18*80=1440'] Exploring Operation: 73-58=15, Resulting Numbers: [1440, 15] Generated Node #3: [1440, 15] from Operation: 73-58=15 Current State: 96:[1440, 15], Operations: ['18*80=1440', '73-58=15'] Exploring Operation: 1440/15=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 88, 53, 34, 55 ]
61
[ "88+34=122", "55-53=2", "122/2=61" ]
Current State: 61:[88, 53, 34, 55], Operations: [] Exploring Operation: 88+34=122, Resulting Numbers: [53, 55, 122] Generated Node #2: [53, 55, 122] from Operation: 88+34=122 Current State: 61:[53, 55, 122], Operations: ['88+34=122'] Exploring Operation: 55-53=2, Resulting Numbers: [122, 2] Generated Node #3: [122, 2] from Operation: 55-53=2 Current State: 61:[122, 2], Operations: ['88+34=122', '55-53=2'] Exploring Operation: 122/2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 35, 87, 7, 24 ]
10
[ "35-24=11", "7*11=77", "87-77=10" ]
Current State: 10:[35, 87, 7, 24], Operations: [] Exploring Operation: 35-24=11, Resulting Numbers: [87, 7, 11] Generated Node #2: [87, 7, 11] from Operation: 35-24=11 Current State: 10:[87, 7, 11], Operations: ['35-24=11'] Exploring Operation: 7*11=77, Resulting Numbers: [87, 77] Generated Node #3: [87, 77] from Operation: 7*11=77 Current State: 10:[87, 77], Operations: ['35-24=11', '7*11=77'] Exploring Operation: 87-77=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4