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
[ 27, 46, 72, 73 ]
72
[ "27+46=73", "72+73=145", "145-73=72" ]
Current State: 72:[27, 46, 72, 73], Operations: [] Exploring Operation: 27+46=73, Resulting Numbers: [72, 73, 73] Generated Node #2: [72, 73, 73] from Operation: 27+46=73 Current State: 72:[72, 73, 73], Operations: ['27+46=73'] Exploring Operation: 72+73=145, Resulting Numbers: [145] 145,72 equal: Goal Reached Exploring Operation: 145-73=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 48, 79, 42, 69 ]
60
[ "48-42=6", "79-69=10", "6*10=60" ]
Current State: 60:[48, 79, 42, 69], Operations: [] Exploring Operation: 48-42=6, Resulting Numbers: [79, 69, 6] Generated Node #2: [79, 69, 6] from Operation: 48-42=6 Current State: 60:[79, 69, 6], Operations: ['48-42=6'] Exploring Operation: 79-69=10, Resulting Numbers: [6, 10] Generated Node #3: [6, 10] from Operation: 79-69=10 Current State: 60:[6, 10], Operations: ['48-42=6', '79-69=10'] Exploring Operation: 6*10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 36, 78, 54, 12 ]
44
[ "36/12=3", "78+54=132", "132/3=44" ]
Current State: 44:[36, 78, 54, 12], Operations: [] Exploring Operation: 36/12=3, Resulting Numbers: [78, 54, 3] Generated Node #2: [78, 54, 3] from Operation: 36/12=3 Current State: 44:[78, 54, 3], Operations: ['36/12=3'] Exploring Operation: 78+54=132, Resulting Numbers: [3, 132] Generated Node #3: [3, 132] from Operation: 78+54=132 Current State: 44:[3, 132], Operations: ['36/12=3', '78+54=132'] Exploring Operation: 132/3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 40, 23, 43, 23 ]
49
[ "40-23=17", "43+23=66", "66-17=49" ]
Current State: 49:[40, 23, 43, 23], Operations: [] Exploring Operation: 40-23=17, Resulting Numbers: [43, 17] Generated Node #2: [43, 17] from Operation: 40-23=17 Current State: 49:[43, 17], Operations: ['40-23=17'] Exploring Operation: 43+23=66, Resulting Numbers: [17, 66] Generated Node #3: [17, 66] from Operation: 43+23=66 Current State: 49:[17, 66], Operations: ['40-23=17', '43+23=66'] Exploring Operation: 66-17=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 71, 35, 16, 72 ]
92
[ "71-35=36", "72-16=56", "36+56=92" ]
Current State: 92:[71, 35, 16, 72], Operations: [] Exploring Operation: 71-35=36, Resulting Numbers: [16, 72, 36] Generated Node #2: [16, 72, 36] from Operation: 71-35=36 Current State: 92:[16, 72, 36], Operations: ['71-35=36'] Exploring Operation: 72-16=56, Resulting Numbers: [36, 56] Generated Node #3: [36, 56] from Operation: 72-16=56 Current State: 92:[36, 56], Operations: ['71-35=36', '72-16=56'] Exploring Operation: 36+56=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 13, 39, 8, 44 ]
68
[ "39/13=3", "8*3=24", "44+24=68" ]
Current State: 68:[13, 39, 8, 44], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [8, 44, 3] Generated Node #2: [8, 44, 3] from Operation: 39/13=3 Current State: 68:[8, 44, 3], Operations: ['39/13=3'] Exploring Operation: 8*3=24, Resulting Numbers: [44, 24] Generated Node #3: [44, 24] from Operation: 8*3=24 Current State: 68:[44, 24], Operations: ['39/13=3', '8*3=24'] Exploring Operation: 44+24=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 27, 15, 34, 60 ]
38
[ "27-15=12", "60-34=26", "12+26=38" ]
Current State: 38:[27, 15, 34, 60], Operations: [] Exploring Operation: 27-15=12, Resulting Numbers: [34, 60, 12] Generated Node #2: [34, 60, 12] from Operation: 27-15=12 Current State: 38:[34, 60, 12], Operations: ['27-15=12'] Exploring Operation: 60-34=26, Resulting Numbers: [12, 26] Generated Node #3: [12, 26] from Operation: 60-34=26 Current State: 38:[12, 26], Operations: ['27-15=12', '60-34=26'] Exploring Operation: 12+26=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 70, 88, 91, 41 ]
68
[ "88-70=18", "91-41=50", "18+50=68" ]
Current State: 68:[70, 88, 91, 41], Operations: [] Exploring Operation: 88-70=18, Resulting Numbers: [91, 41, 18] Generated Node #2: [91, 41, 18] from Operation: 88-70=18 Current State: 68:[91, 41, 18], Operations: ['88-70=18'] Exploring Operation: 91-41=50, Resulting Numbers: [18, 50] Generated Node #3: [18, 50] from Operation: 91-41=50 Current State: 68:[18, 50], Operations: ['88-70=18', '91-41=50'] Exploring Operation: 18+50=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 98, 57, 81, 93 ]
53
[ "98-57=41", "93-81=12", "41+12=53" ]
Current State: 53:[98, 57, 81, 93], Operations: [] Exploring Operation: 98-57=41, Resulting Numbers: [81, 93, 41] Generated Node #2: [81, 93, 41] from Operation: 98-57=41 Current State: 53:[81, 93, 41], Operations: ['98-57=41'] Exploring Operation: 93-81=12, Resulting Numbers: [41, 12] Generated Node #3: [41, 12] from Operation: 93-81=12 Current State: 53:[41, 12], Operations: ['98-57=41', '93-81=12'] Exploring Operation: 41+12=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 66, 47, 28, 33 ]
52
[ "66+47=113", "28+33=61", "113-61=52" ]
Current State: 52:[66, 47, 28, 33], Operations: [] Exploring Operation: 66+47=113, Resulting Numbers: [28, 33, 113] Generated Node #2: [28, 33, 113] from Operation: 66+47=113 Current State: 52:[28, 33, 113], Operations: ['66+47=113'] Exploring Operation: 28+33=61, Resulting Numbers: [113, 61] Generated Node #3: [113, 61] from Operation: 28+33=61 Current State: 52:[113, 61], Operations: ['66+47=113', '28+33=61'] Exploring Operation: 113-61=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 15, 25, 9, 23 ]
24
[ "25-15=10", "23-9=14", "10+14=24" ]
Current State: 24:[15, 25, 9, 23], Operations: [] Exploring Operation: 25-15=10, Resulting Numbers: [9, 23, 10] Generated Node #2: [9, 23, 10] from Operation: 25-15=10 Current State: 24:[9, 23, 10], Operations: ['25-15=10'] Exploring Operation: 23-9=14, Resulting Numbers: [10, 14] Generated Node #3: [10, 14] from Operation: 23-9=14 Current State: 24:[10, 14], Operations: ['25-15=10', '23-9=14'] Exploring Operation: 10+14=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 2, 58, 45, 51 ]
67
[ "58/2=29", "45+51=96", "96-29=67" ]
Current State: 67:[2, 58, 45, 51], Operations: [] Exploring Operation: 58/2=29, Resulting Numbers: [45, 51, 29] Generated Node #2: [45, 51, 29] from Operation: 58/2=29 Current State: 67:[45, 51, 29], Operations: ['58/2=29'] Exploring Operation: 45+51=96, Resulting Numbers: [29, 96] Generated Node #3: [29, 96] from Operation: 45+51=96 Current State: 67:[29, 96], Operations: ['58/2=29', '45+51=96'] Exploring Operation: 96-29=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 8, 65, 37, 49 ]
39
[ "65-49=16", "16/8=2", "37+2=39" ]
Current State: 39:[8, 65, 37, 49], Operations: [] Exploring Operation: 65-49=16, Resulting Numbers: [8, 37, 16] Generated Node #2: [8, 37, 16] from Operation: 65-49=16 Current State: 39:[8, 37, 16], Operations: ['65-49=16'] Exploring Operation: 16/8=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 16/8=2 Current State: 39:[37, 2], Operations: ['65-49=16', '16/8=2'] Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 68, 14, 18, 84 ]
20
[ "68+14=82", "18+84=102", "102-82=20" ]
Current State: 20:[68, 14, 18, 84], Operations: [] Exploring Operation: 68+14=82, Resulting Numbers: [18, 84, 82] Generated Node #2: [18, 84, 82] from Operation: 68+14=82 Current State: 20:[18, 84, 82], Operations: ['68+14=82'] Exploring Operation: 18+84=102, Resulting Numbers: [82, 102] Generated Node #3: [82, 102] from Operation: 18+84=102 Current State: 20:[82, 102], Operations: ['68+14=82', '18+84=102'] Exploring Operation: 102-82=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 84, 14, 36, 7 ]
34
[ "84/7=12", "36-14=22", "12+22=34" ]
Current State: 34:[84, 14, 36, 7], Operations: [] Exploring Operation: 84/7=12, Resulting Numbers: [14, 36, 12] Generated Node #2: [14, 36, 12] from Operation: 84/7=12 Current State: 34:[14, 36, 12], Operations: ['84/7=12'] Exploring Operation: 36-14=22, Resulting Numbers: [12, 22] Generated Node #3: [12, 22] from Operation: 36-14=22 Current State: 34:[12, 22], Operations: ['84/7=12', '36-14=22'] Exploring Operation: 12+22=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 35, 1, 50, 48 ]
34
[ "35+1=36", "50-48=2", "36-2=34" ]
Current State: 34:[35, 1, 50, 48], Operations: [] Exploring Operation: 35+1=36, Resulting Numbers: [50, 48, 36] Generated Node #2: [50, 48, 36] from Operation: 35+1=36 Current State: 34:[50, 48, 36], Operations: ['35+1=36'] Exploring Operation: 50-48=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 50-48=2 Current State: 34:[36, 2], Operations: ['35+1=36', '50-48=2'] Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 73, 69, 22, 2 ]
49
[ "73+69=142", "142/2=71", "71-22=49" ]
Current State: 49:[73, 69, 22, 2], Operations: [] Exploring Operation: 73+69=142, Resulting Numbers: [22, 2, 142] Generated Node #2: [22, 2, 142] from Operation: 73+69=142 Current State: 49:[22, 2, 142], Operations: ['73+69=142'] Exploring Operation: 142/2=71, Resulting Numbers: [22, 71] Generated Node #3: [22, 71] from Operation: 142/2=71 Current State: 49:[22, 71], Operations: ['73+69=142', '142/2=71'] Exploring Operation: 71-22=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 75, 49, 77, 81 ]
31
[ "75+49=124", "81-77=4", "124/4=31" ]
Current State: 31:[75, 49, 77, 81], Operations: [] Exploring Operation: 75+49=124, Resulting Numbers: [77, 81, 124] Generated Node #2: [77, 81, 124] from Operation: 75+49=124 Current State: 31:[77, 81, 124], Operations: ['75+49=124'] Exploring Operation: 81-77=4, Resulting Numbers: [124, 4] Generated Node #3: [124, 4] from Operation: 81-77=4 Current State: 31:[124, 4], Operations: ['75+49=124', '81-77=4'] Exploring Operation: 124/4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 32, 81, 73, 90 ]
32
[ "81-32=49", "90-73=17", "49-17=32" ]
Current State: 32:[32, 81, 73, 90], Operations: [] Exploring Operation: 81-32=49, Resulting Numbers: [73, 90, 49] Generated Node #2: [73, 90, 49] from Operation: 81-32=49 Current State: 32:[73, 90, 49], Operations: ['81-32=49'] Exploring Operation: 90-73=17, Resulting Numbers: [49, 17] Generated Node #3: [49, 17] from Operation: 90-73=17 Current State: 32:[49, 17], Operations: ['81-32=49', '90-73=17'] Exploring Operation: 49-17=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 59, 2, 6, 27 ]
14
[ "59-2=57", "27+57=84", "84/6=14" ]
Current State: 14:[59, 2, 6, 27], Operations: [] Exploring Operation: 59-2=57, Resulting Numbers: [6, 27, 57] Generated Node #2: [6, 27, 57] from Operation: 59-2=57 Current State: 14:[6, 27, 57], Operations: ['59-2=57'] Exploring Operation: 27+57=84, Resulting Numbers: [6, 84] Generated Node #3: [6, 84] from Operation: 27+57=84 Current State: 14:[6, 84], Operations: ['59-2=57', '27+57=84'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 98, 99, 22, 64 ]
42
[ "99-98=1", "64-22=42", "1*42=42" ]
Current State: 42:[98, 99, 22, 64], Operations: [] Exploring Operation: 99-98=1, Resulting Numbers: [22, 64, 1] Generated Node #2: [22, 64, 1] from Operation: 99-98=1 Current State: 42:[22, 64, 1], Operations: ['99-98=1'] Exploring Operation: 64-22=42, Resulting Numbers: [1, 42] Generated Node #3: [1, 42] from Operation: 64-22=42 Current State: 42:[1, 42], Operations: ['99-98=1', '64-22=42'] Exploring Operation: 1*42=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 80, 54, 70, 40 ]
24
[ "80+54=134", "70+40=110", "134-110=24" ]
Current State: 24:[80, 54, 70, 40], Operations: [] Exploring Operation: 80+54=134, Resulting Numbers: [70, 40, 134] Generated Node #2: [70, 40, 134] from Operation: 80+54=134 Current State: 24:[70, 40, 134], Operations: ['80+54=134'] Exploring Operation: 70+40=110, Resulting Numbers: [134, 110] Generated Node #3: [134, 110] from Operation: 70+40=110 Current State: 24:[134, 110], Operations: ['80+54=134', '70+40=110'] Exploring Operation: 134-110=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 42, 46, 12, 26 ]
45
[ "42*26=1092", "1092/12=91", "91-46=45" ]
Current State: 45:[42, 46, 12, 26], Operations: [] Exploring Operation: 42*26=1092, Resulting Numbers: [46, 12, 1092] Generated Node #2: [46, 12, 1092] from Operation: 42*26=1092 Current State: 45:[46, 12, 1092], Operations: ['42*26=1092'] Exploring Operation: 1092/12=91, Resulting Numbers: [46, 91] Generated Node #3: [46, 91] from Operation: 1092/12=91 Current State: 45:[46, 91], Operations: ['42*26=1092', '1092/12=91'] Exploring Operation: 91-46=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 29, 4, 21, 17 ]
78
[ "29*4=116", "21+17=38", "116-38=78" ]
Current State: 78:[29, 4, 21, 17], Operations: [] Exploring Operation: 29*4=116, Resulting Numbers: [21, 17, 116] Generated Node #2: [21, 17, 116] from Operation: 29*4=116 Current State: 78:[21, 17, 116], Operations: ['29*4=116'] Exploring Operation: 21+17=38, Resulting Numbers: [116, 38] Generated Node #3: [116, 38] from Operation: 21+17=38 Current State: 78:[116, 38], Operations: ['29*4=116', '21+17=38'] Exploring Operation: 116-38=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 74, 1, 76, 69 ]
72
[ "74-1=73", "76+69=145", "145-73=72" ]
Current State: 72:[74, 1, 76, 69], Operations: [] Exploring Operation: 74-1=73, Resulting Numbers: [76, 69, 73] Generated Node #2: [76, 69, 73] from Operation: 74-1=73 Current State: 72:[76, 69, 73], Operations: ['74-1=73'] Exploring Operation: 76+69=145, Resulting Numbers: [73, 145] Generated Node #3: [73, 145] from Operation: 76+69=145 Current State: 72:[73, 145], Operations: ['74-1=73', '76+69=145'] Exploring Operation: 145-73=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 96, 69, 94, 66 ]
55
[ "96-69=27", "94-66=28", "27+28=55" ]
Current State: 55:[96, 69, 94, 66], Operations: [] Exploring Operation: 96-69=27, Resulting Numbers: [94, 66, 27] Generated Node #2: [94, 66, 27] from Operation: 96-69=27 Current State: 55:[94, 66, 27], Operations: ['96-69=27'] Exploring Operation: 94-66=28, Resulting Numbers: [27, 28] Generated Node #3: [27, 28] from Operation: 94-66=28 Current State: 55:[27, 28], Operations: ['96-69=27', '94-66=28'] Exploring Operation: 27+28=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 54, 52, 95, 93 ]
28
[ "95-93=2", "52/2=26", "54-26=28" ]
Current State: 28:[54, 52, 95, 93], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [54, 52, 2] Generated Node #2: [54, 52, 2] from Operation: 95-93=2 Current State: 28:[54, 52, 2], Operations: ['95-93=2'] Exploring Operation: 52/2=26, Resulting Numbers: [54, 26] Generated Node #3: [54, 26] from Operation: 52/2=26 Current State: 28:[54, 26], Operations: ['95-93=2', '52/2=26'] Exploring Operation: 54-26=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 36, 45, 94, 9 ]
94
[ "45-36=9", "94+9=103", "103-9=94" ]
Current State: 94:[36, 45, 94, 9], Operations: [] Exploring Operation: 45-36=9, Resulting Numbers: [94, 9, 9] Generated Node #2: [94, 9, 9] from Operation: 45-36=9 Current State: 94:[94, 9, 9], Operations: ['45-36=9'] Exploring Operation: 94+9=103, Resulting Numbers: [103] 103,94 equal: Goal Reached Exploring Operation: 103-9=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 17, 40, 43, 90 ]
47
[ "43-40=3", "90/3=30", "17+30=47" ]
Current State: 47:[17, 40, 43, 90], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [17, 90, 3] Generated Node #2: [17, 90, 3] from Operation: 43-40=3 Current State: 47:[17, 90, 3], Operations: ['43-40=3'] Exploring Operation: 90/3=30, Resulting Numbers: [17, 30] Generated Node #3: [17, 30] from Operation: 90/3=30 Current State: 47:[17, 30], Operations: ['43-40=3', '90/3=30'] Exploring Operation: 17+30=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 23, 85, 86, 98 ]
93
[ "86+98=184", "184/23=8", "85+8=93" ]
Current State: 93:[23, 85, 86, 98], Operations: [] Exploring Operation: 86+98=184, Resulting Numbers: [23, 85, 184] Generated Node #2: [23, 85, 184] from Operation: 86+98=184 Current State: 93:[23, 85, 184], Operations: ['86+98=184'] Exploring Operation: 184/23=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 184/23=8 Current State: 93:[85, 8], Operations: ['86+98=184', '184/23=8'] Exploring Operation: 85+8=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 99, 96, 8, 75 ]
86
[ "99-96=3", "8+75=83", "3+83=86" ]
Current State: 86:[99, 96, 8, 75], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [8, 75, 3] Generated Node #2: [8, 75, 3] from Operation: 99-96=3 Current State: 86:[8, 75, 3], Operations: ['99-96=3'] Exploring Operation: 8+75=83, Resulting Numbers: [3, 83] Generated Node #3: [3, 83] from Operation: 8+75=83 Current State: 86:[3, 83], Operations: ['99-96=3', '8+75=83'] Exploring Operation: 3+83=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 21, 31, 9, 28 ]
54
[ "31-28=3", "21*3=63", "63-9=54" ]
Current State: 54:[21, 31, 9, 28], Operations: [] Exploring Operation: 31-28=3, Resulting Numbers: [21, 9, 3] Generated Node #2: [21, 9, 3] from Operation: 31-28=3 Current State: 54:[21, 9, 3], Operations: ['31-28=3'] Exploring Operation: 21*3=63, Resulting Numbers: [9, 63] Generated Node #3: [9, 63] from Operation: 21*3=63 Current State: 54:[9, 63], Operations: ['31-28=3', '21*3=63'] Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 13, 41, 5, 41 ]
100
[ "13+41=54", "5+41=46", "54+46=100" ]
Current State: 100:[13, 41, 5, 41], Operations: [] Exploring Operation: 13+41=54, Resulting Numbers: [5, 54] Generated Node #2: [5, 54] from Operation: 13+41=54 Current State: 100:[5, 54], Operations: ['13+41=54'] Exploring Operation: 5+41=46, Resulting Numbers: [54, 46] Generated Node #3: [54, 46] from Operation: 5+41=46 Current State: 100:[54, 46], Operations: ['13+41=54', '5+41=46'] Exploring Operation: 54+46=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 61, 32, 26, 28 ]
91
[ "61+32=93", "28-26=2", "93-2=91" ]
Current State: 91:[61, 32, 26, 28], Operations: [] Exploring Operation: 61+32=93, Resulting Numbers: [26, 28, 93] Generated Node #2: [26, 28, 93] from Operation: 61+32=93 Current State: 91:[26, 28, 93], Operations: ['61+32=93'] Exploring Operation: 28-26=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 28-26=2 Current State: 91:[93, 2], Operations: ['61+32=93', '28-26=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 22, 70, 40, 32 ]
47
[ "32-22=10", "70/10=7", "40+7=47" ]
Current State: 47:[22, 70, 40, 32], Operations: [] Exploring Operation: 32-22=10, Resulting Numbers: [70, 40, 10] Generated Node #2: [70, 40, 10] from Operation: 32-22=10 Current State: 47:[70, 40, 10], Operations: ['32-22=10'] Exploring Operation: 70/10=7, Resulting Numbers: [40, 7] Generated Node #3: [40, 7] from Operation: 70/10=7 Current State: 47:[40, 7], Operations: ['32-22=10', '70/10=7'] Exploring Operation: 40+7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 68, 98, 94, 41 ]
31
[ "68+98=166", "94+41=135", "166-135=31" ]
Current State: 31:[68, 98, 94, 41], Operations: [] Exploring Operation: 68+98=166, Resulting Numbers: [94, 41, 166] Generated Node #2: [94, 41, 166] from Operation: 68+98=166 Current State: 31:[94, 41, 166], Operations: ['68+98=166'] Exploring Operation: 94+41=135, Resulting Numbers: [166, 135] Generated Node #3: [166, 135] from Operation: 94+41=135 Current State: 31:[166, 135], Operations: ['68+98=166', '94+41=135'] Exploring Operation: 166-135=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 67, 3, 86, 79 ]
50
[ "79-67=12", "3*12=36", "86-36=50" ]
Current State: 50:[67, 3, 86, 79], Operations: [] Exploring Operation: 79-67=12, Resulting Numbers: [3, 86, 12] Generated Node #2: [3, 86, 12] from Operation: 79-67=12 Current State: 50:[3, 86, 12], Operations: ['79-67=12'] Exploring Operation: 3*12=36, Resulting Numbers: [86, 36] Generated Node #3: [86, 36] from Operation: 3*12=36 Current State: 50:[86, 36], Operations: ['79-67=12', '3*12=36'] Exploring Operation: 86-36=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 87, 48, 93, 40 ]
82
[ "87+48=135", "93-40=53", "135-53=82" ]
Current State: 82:[87, 48, 93, 40], Operations: [] Exploring Operation: 87+48=135, Resulting Numbers: [93, 40, 135] Generated Node #2: [93, 40, 135] from Operation: 87+48=135 Current State: 82:[93, 40, 135], Operations: ['87+48=135'] Exploring Operation: 93-40=53, Resulting Numbers: [135, 53] Generated Node #3: [135, 53] from Operation: 93-40=53 Current State: 82:[135, 53], Operations: ['87+48=135', '93-40=53'] Exploring Operation: 135-53=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 52, 64, 86, 12 ]
42
[ "52+64=116", "86-12=74", "116-74=42" ]
Current State: 42:[52, 64, 86, 12], Operations: [] Exploring Operation: 52+64=116, Resulting Numbers: [86, 12, 116] Generated Node #2: [86, 12, 116] from Operation: 52+64=116 Current State: 42:[86, 12, 116], Operations: ['52+64=116'] Exploring Operation: 86-12=74, Resulting Numbers: [116, 74] Generated Node #3: [116, 74] from Operation: 86-12=74 Current State: 42:[116, 74], Operations: ['52+64=116', '86-12=74'] Exploring Operation: 116-74=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 45, 70, 2, 73 ]
56
[ "73-45=28", "28/2=14", "70-14=56" ]
Current State: 56:[45, 70, 2, 73], Operations: [] Exploring Operation: 73-45=28, Resulting Numbers: [70, 2, 28] Generated Node #2: [70, 2, 28] from Operation: 73-45=28 Current State: 56:[70, 2, 28], Operations: ['73-45=28'] Exploring Operation: 28/2=14, Resulting Numbers: [70, 14] Generated Node #3: [70, 14] from Operation: 28/2=14 Current State: 56:[70, 14], Operations: ['73-45=28', '28/2=14'] Exploring Operation: 70-14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 43, 35, 47, 10 ]
86
[ "47-35=12", "12-10=2", "43*2=86" ]
Current State: 86:[43, 35, 47, 10], Operations: [] Exploring Operation: 47-35=12, Resulting Numbers: [43, 10, 12] Generated Node #2: [43, 10, 12] from Operation: 47-35=12 Current State: 86:[43, 10, 12], Operations: ['47-35=12'] Exploring Operation: 12-10=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 12-10=2 Current State: 86:[43, 2], Operations: ['47-35=12', '12-10=2'] Exploring Operation: 43*2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 6, 53, 38, 22 ]
55
[ "6+38=44", "44/22=2", "53+2=55" ]
Current State: 55:[6, 53, 38, 22], Operations: [] Exploring Operation: 6+38=44, Resulting Numbers: [53, 22, 44] Generated Node #2: [53, 22, 44] from Operation: 6+38=44 Current State: 55:[53, 22, 44], Operations: ['6+38=44'] Exploring Operation: 44/22=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 44/22=2 Current State: 55:[53, 2], Operations: ['6+38=44', '44/22=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 12, 7, 55, 6 ]
42
[ "12+7=19", "55+6=61", "61-19=42" ]
Current State: 42:[12, 7, 55, 6], Operations: [] Exploring Operation: 12+7=19, Resulting Numbers: [55, 6, 19] Generated Node #2: [55, 6, 19] from Operation: 12+7=19 Current State: 42:[55, 6, 19], Operations: ['12+7=19'] Exploring Operation: 55+6=61, Resulting Numbers: [19, 61] Generated Node #3: [19, 61] from Operation: 55+6=61 Current State: 42:[19, 61], Operations: ['12+7=19', '55+6=61'] Exploring Operation: 61-19=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 47, 99, 84, 2 ]
67
[ "47+84=131", "99*2=198", "198-131=67" ]
Current State: 67:[47, 99, 84, 2], Operations: [] Exploring Operation: 47+84=131, Resulting Numbers: [99, 2, 131] Generated Node #2: [99, 2, 131] from Operation: 47+84=131 Current State: 67:[99, 2, 131], Operations: ['47+84=131'] Exploring Operation: 99*2=198, Resulting Numbers: [131, 198] Generated Node #3: [131, 198] from Operation: 99*2=198 Current State: 67:[131, 198], Operations: ['47+84=131', '99*2=198'] Exploring Operation: 198-131=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 54, 10, 12, 5 ]
96
[ "54*10=540", "540/5=108", "108-12=96" ]
Current State: 96:[54, 10, 12, 5], Operations: [] Exploring Operation: 54*10=540, Resulting Numbers: [12, 5, 540] Generated Node #2: [12, 5, 540] from Operation: 54*10=540 Current State: 96:[12, 5, 540], Operations: ['54*10=540'] Exploring Operation: 540/5=108, Resulting Numbers: [12, 108] Generated Node #3: [12, 108] from Operation: 540/5=108 Current State: 96:[12, 108], Operations: ['54*10=540', '540/5=108'] Exploring Operation: 108-12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 5, 21, 47, 28 ]
49
[ "5+21=26", "47+28=75", "75-26=49" ]
Current State: 49:[5, 21, 47, 28], Operations: [] Exploring Operation: 5+21=26, Resulting Numbers: [47, 28, 26] Generated Node #2: [47, 28, 26] from Operation: 5+21=26 Current State: 49:[47, 28, 26], Operations: ['5+21=26'] Exploring Operation: 47+28=75, Resulting Numbers: [26, 75] Generated Node #3: [26, 75] from Operation: 47+28=75 Current State: 49:[26, 75], Operations: ['5+21=26', '47+28=75'] Exploring Operation: 75-26=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 10, 64, 17, 36 ]
70
[ "10*17=170", "64+36=100", "170-100=70" ]
Current State: 70:[10, 64, 17, 36], Operations: [] Exploring Operation: 10*17=170, Resulting Numbers: [64, 36, 170] Generated Node #2: [64, 36, 170] from Operation: 10*17=170 Current State: 70:[64, 36, 170], Operations: ['10*17=170'] Exploring Operation: 64+36=100, Resulting Numbers: [170, 100] Generated Node #3: [170, 100] from Operation: 64+36=100 Current State: 70:[170, 100], Operations: ['10*17=170', '64+36=100'] Exploring Operation: 170-100=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 32, 35, 91, 60 ]
89
[ "35-32=3", "60*3=180", "180-91=89" ]
Current State: 89:[32, 35, 91, 60], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [91, 60, 3] Generated Node #2: [91, 60, 3] from Operation: 35-32=3 Current State: 89:[91, 60, 3], Operations: ['35-32=3'] Exploring Operation: 60*3=180, Resulting Numbers: [91, 180] Generated Node #3: [91, 180] from Operation: 60*3=180 Current State: 89:[91, 180], Operations: ['35-32=3', '60*3=180'] Exploring Operation: 180-91=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 62, 82, 5, 77 ]
73
[ "82-62=20", "20/5=4", "77-4=73" ]
Current State: 73:[62, 82, 5, 77], Operations: [] Exploring Operation: 82-62=20, Resulting Numbers: [5, 77, 20] Generated Node #2: [5, 77, 20] from Operation: 82-62=20 Current State: 73:[5, 77, 20], Operations: ['82-62=20'] Exploring Operation: 20/5=4, Resulting Numbers: [77, 4] Generated Node #3: [77, 4] from Operation: 20/5=4 Current State: 73:[77, 4], Operations: ['82-62=20', '20/5=4'] Exploring Operation: 77-4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 64, 31, 65, 68 ]
92
[ "64+31=95", "68-65=3", "95-3=92" ]
Current State: 92:[64, 31, 65, 68], Operations: [] Exploring Operation: 64+31=95, Resulting Numbers: [65, 68, 95] Generated Node #2: [65, 68, 95] from Operation: 64+31=95 Current State: 92:[65, 68, 95], Operations: ['64+31=95'] Exploring Operation: 68-65=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 68-65=3 Current State: 92:[95, 3], Operations: ['64+31=95', '68-65=3'] Exploring Operation: 95-3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 13, 67, 54, 29 ]
79
[ "67-13=54", "54-29=25", "54+25=79" ]
Current State: 79:[13, 67, 54, 29], Operations: [] Exploring Operation: 67-13=54, Resulting Numbers: [54, 29, 54] Generated Node #2: [54, 29, 54] from Operation: 67-13=54 Current State: 79:[54, 29, 54], Operations: ['67-13=54'] Exploring Operation: 54-29=25, Resulting Numbers: [25] 25,79 equal: Goal Reached Exploring Operation: 54+25=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 49, 54, 19, 77 ]
45
[ "49+54=103", "77-19=58", "103-58=45" ]
Current State: 45:[49, 54, 19, 77], Operations: [] Exploring Operation: 49+54=103, Resulting Numbers: [19, 77, 103] Generated Node #2: [19, 77, 103] from Operation: 49+54=103 Current State: 45:[19, 77, 103], Operations: ['49+54=103'] Exploring Operation: 77-19=58, Resulting Numbers: [103, 58] Generated Node #3: [103, 58] from Operation: 77-19=58 Current State: 45:[103, 58], Operations: ['49+54=103', '77-19=58'] Exploring Operation: 103-58=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 49, 60, 92, 59 ]
76
[ "49+60=109", "92-59=33", "109-33=76" ]
Current State: 76:[49, 60, 92, 59], Operations: [] Exploring Operation: 49+60=109, Resulting Numbers: [92, 59, 109] Generated Node #2: [92, 59, 109] from Operation: 49+60=109 Current State: 76:[92, 59, 109], Operations: ['49+60=109'] Exploring Operation: 92-59=33, Resulting Numbers: [109, 33] Generated Node #3: [109, 33] from Operation: 92-59=33 Current State: 76:[109, 33], Operations: ['49+60=109', '92-59=33'] Exploring Operation: 109-33=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 63, 14, 18, 59 ]
36
[ "63+14=77", "59-18=41", "77-41=36" ]
Current State: 36:[63, 14, 18, 59], Operations: [] Exploring Operation: 63+14=77, Resulting Numbers: [18, 59, 77] Generated Node #2: [18, 59, 77] from Operation: 63+14=77 Current State: 36:[18, 59, 77], Operations: ['63+14=77'] Exploring Operation: 59-18=41, Resulting Numbers: [77, 41] Generated Node #3: [77, 41] from Operation: 59-18=41 Current State: 36:[77, 41], Operations: ['63+14=77', '59-18=41'] Exploring Operation: 77-41=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 11, 52, 9, 98 ]
48
[ "52-11=41", "98-9=89", "89-41=48" ]
Current State: 48:[11, 52, 9, 98], Operations: [] Exploring Operation: 52-11=41, Resulting Numbers: [9, 98, 41] Generated Node #2: [9, 98, 41] from Operation: 52-11=41 Current State: 48:[9, 98, 41], Operations: ['52-11=41'] Exploring Operation: 98-9=89, Resulting Numbers: [41, 89] Generated Node #3: [41, 89] from Operation: 98-9=89 Current State: 48:[41, 89], Operations: ['52-11=41', '98-9=89'] Exploring Operation: 89-41=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 91, 3, 51, 20 ]
60
[ "91-51=40", "40-20=20", "3*20=60" ]
Current State: 60:[91, 3, 51, 20], Operations: [] Exploring Operation: 91-51=40, Resulting Numbers: [3, 20, 40] Generated Node #2: [3, 20, 40] from Operation: 91-51=40 Current State: 60:[3, 20, 40], Operations: ['91-51=40'] Exploring Operation: 40-20=20, Resulting Numbers: [3, 20] Generated Node #3: [3, 20] from Operation: 40-20=20 Current State: 60:[3, 20], Operations: ['91-51=40', '40-20=20'] Exploring Operation: 3*20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 44, 52, 16, 22 ]
70
[ "44/22=2", "52+16=68", "2+68=70" ]
Current State: 70:[44, 52, 16, 22], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [52, 16, 2] Generated Node #2: [52, 16, 2] from Operation: 44/22=2 Current State: 70:[52, 16, 2], Operations: ['44/22=2'] Exploring Operation: 52+16=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 52+16=68 Current State: 70:[2, 68], Operations: ['44/22=2', '52+16=68'] Exploring Operation: 2+68=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 93, 2, 23, 42 ]
14
[ "93-23=70", "2*42=84", "84-70=14" ]
Current State: 14:[93, 2, 23, 42], Operations: [] Exploring Operation: 93-23=70, Resulting Numbers: [2, 42, 70] Generated Node #2: [2, 42, 70] from Operation: 93-23=70 Current State: 14:[2, 42, 70], Operations: ['93-23=70'] Exploring Operation: 2*42=84, Resulting Numbers: [70, 84] Generated Node #3: [70, 84] from Operation: 2*42=84 Current State: 14:[70, 84], Operations: ['93-23=70', '2*42=84'] Exploring Operation: 84-70=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 10, 21, 93, 59 ]
65
[ "10+21=31", "93-59=34", "31+34=65" ]
Current State: 65:[10, 21, 93, 59], Operations: [] Exploring Operation: 10+21=31, Resulting Numbers: [93, 59, 31] Generated Node #2: [93, 59, 31] from Operation: 10+21=31 Current State: 65:[93, 59, 31], Operations: ['10+21=31'] Exploring Operation: 93-59=34, Resulting Numbers: [31, 34] Generated Node #3: [31, 34] from Operation: 93-59=34 Current State: 65:[31, 34], Operations: ['10+21=31', '93-59=34'] Exploring Operation: 31+34=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 26, 12, 66, 55 ]
49
[ "26+12=38", "66-55=11", "38+11=49" ]
Current State: 49:[26, 12, 66, 55], Operations: [] Exploring Operation: 26+12=38, Resulting Numbers: [66, 55, 38] Generated Node #2: [66, 55, 38] from Operation: 26+12=38 Current State: 49:[66, 55, 38], Operations: ['26+12=38'] Exploring Operation: 66-55=11, Resulting Numbers: [38, 11] Generated Node #3: [38, 11] from Operation: 66-55=11 Current State: 49:[38, 11], Operations: ['26+12=38', '66-55=11'] Exploring Operation: 38+11=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 3, 62, 94, 76 ]
68
[ "94-76=18", "18/3=6", "62+6=68" ]
Current State: 68:[3, 62, 94, 76], Operations: [] Exploring Operation: 94-76=18, Resulting Numbers: [3, 62, 18] Generated Node #2: [3, 62, 18] from Operation: 94-76=18 Current State: 68:[3, 62, 18], Operations: ['94-76=18'] Exploring Operation: 18/3=6, Resulting Numbers: [62, 6] Generated Node #3: [62, 6] from Operation: 18/3=6 Current State: 68:[62, 6], Operations: ['94-76=18', '18/3=6'] Exploring Operation: 62+6=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 97, 96, 53, 5 ]
99
[ "53-5=48", "96/48=2", "97+2=99" ]
Current State: 99:[97, 96, 53, 5], Operations: [] Exploring Operation: 53-5=48, Resulting Numbers: [97, 96, 48] Generated Node #2: [97, 96, 48] from Operation: 53-5=48 Current State: 99:[97, 96, 48], Operations: ['53-5=48'] Exploring Operation: 96/48=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 96/48=2 Current State: 99:[97, 2], Operations: ['53-5=48', '96/48=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 55, 43, 13, 26 ]
49
[ "55+43=98", "26/13=2", "98/2=49" ]
Current State: 49:[55, 43, 13, 26], Operations: [] Exploring Operation: 55+43=98, Resulting Numbers: [13, 26, 98] Generated Node #2: [13, 26, 98] from Operation: 55+43=98 Current State: 49:[13, 26, 98], Operations: ['55+43=98'] Exploring Operation: 26/13=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 26/13=2 Current State: 49:[98, 2], Operations: ['55+43=98', '26/13=2'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 25, 15, 30, 75 ]
19
[ "15*30=450", "450/75=6", "25-6=19" ]
Current State: 19:[25, 15, 30, 75], Operations: [] Exploring Operation: 15*30=450, Resulting Numbers: [25, 75, 450] Generated Node #2: [25, 75, 450] from Operation: 15*30=450 Current State: 19:[25, 75, 450], Operations: ['15*30=450'] Exploring Operation: 450/75=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 450/75=6 Current State: 19:[25, 6], Operations: ['15*30=450', '450/75=6'] Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 87, 23, 12, 25 ]
91
[ "23+25=48", "48/12=4", "87+4=91" ]
Current State: 91:[87, 23, 12, 25], Operations: [] Exploring Operation: 23+25=48, Resulting Numbers: [87, 12, 48] Generated Node #2: [87, 12, 48] from Operation: 23+25=48 Current State: 91:[87, 12, 48], Operations: ['23+25=48'] Exploring Operation: 48/12=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 48/12=4 Current State: 91:[87, 4], Operations: ['23+25=48', '48/12=4'] Exploring Operation: 87+4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 14, 21, 19, 17 ]
20
[ "19-14=5", "21-17=4", "5*4=20" ]
Current State: 20:[14, 21, 19, 17], Operations: [] Exploring Operation: 19-14=5, Resulting Numbers: [21, 17, 5] Generated Node #2: [21, 17, 5] from Operation: 19-14=5 Current State: 20:[21, 17, 5], Operations: ['19-14=5'] Exploring Operation: 21-17=4, Resulting Numbers: [5, 4] Generated Node #3: [5, 4] from Operation: 21-17=4 Current State: 20:[5, 4], Operations: ['19-14=5', '21-17=4'] Exploring Operation: 5*4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 4, 20, 16, 43 ]
54
[ "20/4=5", "16+43=59", "59-5=54" ]
Current State: 54:[4, 20, 16, 43], Operations: [] Exploring Operation: 20/4=5, Resulting Numbers: [16, 43, 5] Generated Node #2: [16, 43, 5] from Operation: 20/4=5 Current State: 54:[16, 43, 5], Operations: ['20/4=5'] Exploring Operation: 16+43=59, Resulting Numbers: [5, 59] Generated Node #3: [5, 59] from Operation: 16+43=59 Current State: 54:[5, 59], Operations: ['20/4=5', '16+43=59'] Exploring Operation: 59-5=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 80, 40, 3, 19 ]
73
[ "80+19=99", "99/3=33", "40+33=73" ]
Current State: 73:[80, 40, 3, 19], Operations: [] Exploring Operation: 80+19=99, Resulting Numbers: [40, 3, 99] Generated Node #2: [40, 3, 99] from Operation: 80+19=99 Current State: 73:[40, 3, 99], Operations: ['80+19=99'] Exploring Operation: 99/3=33, Resulting Numbers: [40, 33] Generated Node #3: [40, 33] from Operation: 99/3=33 Current State: 73:[40, 33], Operations: ['80+19=99', '99/3=33'] Exploring Operation: 40+33=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 54, 32, 34, 2 ]
46
[ "54-32=22", "34*2=68", "68-22=46" ]
Current State: 46:[54, 32, 34, 2], Operations: [] Exploring Operation: 54-32=22, Resulting Numbers: [34, 2, 22] Generated Node #2: [34, 2, 22] from Operation: 54-32=22 Current State: 46:[34, 2, 22], Operations: ['54-32=22'] Exploring Operation: 34*2=68, Resulting Numbers: [22, 68] Generated Node #3: [22, 68] from Operation: 34*2=68 Current State: 46:[22, 68], Operations: ['54-32=22', '34*2=68'] Exploring Operation: 68-22=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 46, 35, 37, 22 ]
90
[ "37-35=2", "22*2=44", "46+44=90" ]
Current State: 90:[46, 35, 37, 22], Operations: [] Exploring Operation: 37-35=2, Resulting Numbers: [46, 22, 2] Generated Node #2: [46, 22, 2] from Operation: 37-35=2 Current State: 90:[46, 22, 2], Operations: ['37-35=2'] Exploring Operation: 22*2=44, Resulting Numbers: [46, 44] Generated Node #3: [46, 44] from Operation: 22*2=44 Current State: 90:[46, 44], Operations: ['37-35=2', '22*2=44'] Exploring Operation: 46+44=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 38, 53, 53, 51 ]
89
[ "38+53=91", "53-51=2", "91-2=89" ]
Current State: 89:[38, 53, 53, 51], Operations: [] Exploring Operation: 38+53=91, Resulting Numbers: [51, 91] Generated Node #2: [51, 91] from Operation: 38+53=91 Current State: 89:[51, 91], Operations: ['38+53=91'] Exploring Operation: 53-51=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 53-51=2 Current State: 89:[91, 2], Operations: ['38+53=91', '53-51=2'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 69, 71, 16, 11 ]
64
[ "71-16=55", "55/11=5", "69-5=64" ]
Current State: 64:[69, 71, 16, 11], Operations: [] Exploring Operation: 71-16=55, Resulting Numbers: [69, 11, 55] Generated Node #2: [69, 11, 55] from Operation: 71-16=55 Current State: 64:[69, 11, 55], Operations: ['71-16=55'] Exploring Operation: 55/11=5, Resulting Numbers: [69, 5] Generated Node #3: [69, 5] from Operation: 55/11=5 Current State: 64:[69, 5], Operations: ['71-16=55', '55/11=5'] Exploring Operation: 69-5=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 80, 50, 56, 55 ]
58
[ "80-55=25", "50/25=2", "56+2=58" ]
Current State: 58:[80, 50, 56, 55], Operations: [] Exploring Operation: 80-55=25, Resulting Numbers: [50, 56, 25] Generated Node #2: [50, 56, 25] from Operation: 80-55=25 Current State: 58:[50, 56, 25], Operations: ['80-55=25'] Exploring Operation: 50/25=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 50/25=2 Current State: 58:[56, 2], Operations: ['80-55=25', '50/25=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 99, 84, 3, 55 ]
98
[ "99+55=154", "84*3=252", "252-154=98" ]
Current State: 98:[99, 84, 3, 55], Operations: [] Exploring Operation: 99+55=154, Resulting Numbers: [84, 3, 154] Generated Node #2: [84, 3, 154] from Operation: 99+55=154 Current State: 98:[84, 3, 154], Operations: ['99+55=154'] Exploring Operation: 84*3=252, Resulting Numbers: [154, 252] Generated Node #3: [154, 252] from Operation: 84*3=252 Current State: 98:[154, 252], Operations: ['99+55=154', '84*3=252'] Exploring Operation: 252-154=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 15, 86, 21, 7 ]
44
[ "21-15=6", "7*6=42", "86-42=44" ]
Current State: 44:[15, 86, 21, 7], Operations: [] Exploring Operation: 21-15=6, Resulting Numbers: [86, 7, 6] Generated Node #2: [86, 7, 6] from Operation: 21-15=6 Current State: 44:[86, 7, 6], Operations: ['21-15=6'] Exploring Operation: 7*6=42, Resulting Numbers: [86, 42] Generated Node #3: [86, 42] from Operation: 7*6=42 Current State: 44:[86, 42], Operations: ['21-15=6', '7*6=42'] Exploring Operation: 86-42=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 46, 9, 15, 32 ]
84
[ "46-9=37", "15+32=47", "37+47=84" ]
Current State: 84:[46, 9, 15, 32], Operations: [] Exploring Operation: 46-9=37, Resulting Numbers: [15, 32, 37] Generated Node #2: [15, 32, 37] from Operation: 46-9=37 Current State: 84:[15, 32, 37], Operations: ['46-9=37'] Exploring Operation: 15+32=47, Resulting Numbers: [37, 47] Generated Node #3: [37, 47] from Operation: 15+32=47 Current State: 84:[37, 47], Operations: ['46-9=37', '15+32=47'] Exploring Operation: 37+47=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 57, 16, 32, 85 ]
29
[ "57*32=1824", "1824/16=114", "114-85=29" ]
Current State: 29:[57, 16, 32, 85], Operations: [] Exploring Operation: 57*32=1824, Resulting Numbers: [16, 85, 1824] Generated Node #2: [16, 85, 1824] from Operation: 57*32=1824 Current State: 29:[16, 85, 1824], Operations: ['57*32=1824'] Exploring Operation: 1824/16=114, Resulting Numbers: [85, 114] Generated Node #3: [85, 114] from Operation: 1824/16=114 Current State: 29:[85, 114], Operations: ['57*32=1824', '1824/16=114'] Exploring Operation: 114-85=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 75, 87, 28, 76 ]
36
[ "87-75=12", "76-28=48", "48-12=36" ]
Current State: 36:[75, 87, 28, 76], Operations: [] Exploring Operation: 87-75=12, Resulting Numbers: [28, 76, 12] Generated Node #2: [28, 76, 12] from Operation: 87-75=12 Current State: 36:[28, 76, 12], Operations: ['87-75=12'] Exploring Operation: 76-28=48, Resulting Numbers: [12, 48] Generated Node #3: [12, 48] from Operation: 76-28=48 Current State: 36:[12, 48], Operations: ['87-75=12', '76-28=48'] Exploring Operation: 48-12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 97, 2, 67, 95 ]
13
[ "97+67=164", "164/2=82", "95-82=13" ]
Current State: 13:[97, 2, 67, 95], Operations: [] Exploring Operation: 97+67=164, Resulting Numbers: [2, 95, 164] Generated Node #2: [2, 95, 164] from Operation: 97+67=164 Current State: 13:[2, 95, 164], Operations: ['97+67=164'] Exploring Operation: 164/2=82, Resulting Numbers: [95, 82] Generated Node #3: [95, 82] from Operation: 164/2=82 Current State: 13:[95, 82], Operations: ['97+67=164', '164/2=82'] Exploring Operation: 95-82=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 39, 78, 16, 98 ]
57
[ "78/39=2", "16+98=114", "114/2=57" ]
Current State: 57:[39, 78, 16, 98], Operations: [] Exploring Operation: 78/39=2, Resulting Numbers: [16, 98, 2] Generated Node #2: [16, 98, 2] from Operation: 78/39=2 Current State: 57:[16, 98, 2], Operations: ['78/39=2'] Exploring Operation: 16+98=114, Resulting Numbers: [2, 114] Generated Node #3: [2, 114] from Operation: 16+98=114 Current State: 57:[2, 114], Operations: ['78/39=2', '16+98=114'] Exploring Operation: 114/2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 5, 11, 79, 95 ]
25
[ "11+79=90", "95-90=5", "5*5=25" ]
Current State: 25:[5, 11, 79, 95], Operations: [] Exploring Operation: 11+79=90, Resulting Numbers: [5, 95, 90] Generated Node #2: [5, 95, 90] from Operation: 11+79=90 Current State: 25:[5, 95, 90], Operations: ['11+79=90'] Exploring Operation: 95-90=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 95-90=5 Current State: 25:[5, 5], Operations: ['11+79=90', '95-90=5'] Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 24, 56, 7, 78 ]
62
[ "78-24=54", "56/7=8", "54+8=62" ]
Current State: 62:[24, 56, 7, 78], Operations: [] Exploring Operation: 78-24=54, Resulting Numbers: [56, 7, 54] Generated Node #2: [56, 7, 54] from Operation: 78-24=54 Current State: 62:[56, 7, 54], Operations: ['78-24=54'] Exploring Operation: 56/7=8, Resulting Numbers: [54, 8] Generated Node #3: [54, 8] from Operation: 56/7=8 Current State: 62:[54, 8], Operations: ['78-24=54', '56/7=8'] Exploring Operation: 54+8=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 12, 45, 52, 26 ]
45
[ "45-12=33", "52+26=78", "78-33=45" ]
Current State: 45:[12, 45, 52, 26], Operations: [] Exploring Operation: 45-12=33, Resulting Numbers: [52, 26, 33] Generated Node #2: [52, 26, 33] from Operation: 45-12=33 Current State: 45:[52, 26, 33], Operations: ['45-12=33'] Exploring Operation: 52+26=78, Resulting Numbers: [33, 78] Generated Node #3: [33, 78] from Operation: 52+26=78 Current State: 45:[33, 78], Operations: ['45-12=33', '52+26=78'] Exploring Operation: 78-33=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 6, 73, 64, 97 ]
82
[ "6+73=79", "64+97=161", "161-79=82" ]
Current State: 82:[6, 73, 64, 97], Operations: [] Exploring Operation: 6+73=79, Resulting Numbers: [64, 97, 79] Generated Node #2: [64, 97, 79] from Operation: 6+73=79 Current State: 82:[64, 97, 79], Operations: ['6+73=79'] Exploring Operation: 64+97=161, Resulting Numbers: [79, 161] Generated Node #3: [79, 161] from Operation: 64+97=161 Current State: 82:[79, 161], Operations: ['6+73=79', '64+97=161'] Exploring Operation: 161-79=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 59, 55, 14, 39 ]
21
[ "59-55=4", "39-14=25", "25-4=21" ]
Current State: 21:[59, 55, 14, 39], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [14, 39, 4] Generated Node #2: [14, 39, 4] from Operation: 59-55=4 Current State: 21:[14, 39, 4], Operations: ['59-55=4'] Exploring Operation: 39-14=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 39-14=25 Current State: 21:[4, 25], Operations: ['59-55=4', '39-14=25'] Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 55, 44, 3, 66 ]
12
[ "66-55=11", "44*3=132", "132/11=12" ]
Current State: 12:[55, 44, 3, 66], Operations: [] Exploring Operation: 66-55=11, Resulting Numbers: [44, 3, 11] Generated Node #2: [44, 3, 11] from Operation: 66-55=11 Current State: 12:[44, 3, 11], Operations: ['66-55=11'] Exploring Operation: 44*3=132, Resulting Numbers: [11, 132] Generated Node #3: [11, 132] from Operation: 44*3=132 Current State: 12:[11, 132], Operations: ['66-55=11', '44*3=132'] Exploring Operation: 132/11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 35, 52, 6, 9 ]
93
[ "52-35=17", "6*17=102", "102-9=93" ]
Current State: 93:[35, 52, 6, 9], Operations: [] Exploring Operation: 52-35=17, Resulting Numbers: [6, 9, 17] Generated Node #2: [6, 9, 17] from Operation: 52-35=17 Current State: 93:[6, 9, 17], Operations: ['52-35=17'] Exploring Operation: 6*17=102, Resulting Numbers: [9, 102] Generated Node #3: [9, 102] from Operation: 6*17=102 Current State: 93:[9, 102], Operations: ['52-35=17', '6*17=102'] Exploring Operation: 102-9=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 44, 45, 3, 96 ]
22
[ "45+3=48", "44*48=2112", "2112/96=22" ]
Current State: 22:[44, 45, 3, 96], Operations: [] Exploring Operation: 45+3=48, Resulting Numbers: [44, 96, 48] Generated Node #2: [44, 96, 48] from Operation: 45+3=48 Current State: 22:[44, 96, 48], Operations: ['45+3=48'] Exploring Operation: 44*48=2112, Resulting Numbers: [96, 2112] Generated Node #3: [96, 2112] from Operation: 44*48=2112 Current State: 22:[96, 2112], Operations: ['45+3=48', '44*48=2112'] Exploring Operation: 2112/96=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 53, 48, 24, 4 ]
89
[ "53+24=77", "48/4=12", "77+12=89" ]
Current State: 89:[53, 48, 24, 4], Operations: [] Exploring Operation: 53+24=77, Resulting Numbers: [48, 4, 77] Generated Node #2: [48, 4, 77] from Operation: 53+24=77 Current State: 89:[48, 4, 77], Operations: ['53+24=77'] Exploring Operation: 48/4=12, Resulting Numbers: [77, 12] Generated Node #3: [77, 12] from Operation: 48/4=12 Current State: 89:[77, 12], Operations: ['53+24=77', '48/4=12'] Exploring Operation: 77+12=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 53, 53, 50, 81 ]
30
[ "53/53=1", "81-50=31", "31-1=30" ]
Current State: 30:[53, 53, 50, 81], Operations: [] Exploring Operation: 53/53=1, Resulting Numbers: [50, 81, 1] Generated Node #2: [50, 81, 1] from Operation: 53/53=1 Current State: 30:[50, 81, 1], Operations: ['53/53=1'] Exploring Operation: 81-50=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 81-50=31 Current State: 30:[1, 31], Operations: ['53/53=1', '81-50=31'] Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 40, 60, 44, 93 ]
78
[ "44-40=4", "60/4=15", "93-15=78" ]
Current State: 78:[40, 60, 44, 93], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [60, 93, 4] Generated Node #2: [60, 93, 4] from Operation: 44-40=4 Current State: 78:[60, 93, 4], Operations: ['44-40=4'] Exploring Operation: 60/4=15, Resulting Numbers: [93, 15] Generated Node #3: [93, 15] from Operation: 60/4=15 Current State: 78:[93, 15], Operations: ['44-40=4', '60/4=15'] Exploring Operation: 93-15=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 11, 83, 75, 65 ]
46
[ "11+83=94", "75+65=140", "140-94=46" ]
Current State: 46:[11, 83, 75, 65], Operations: [] Exploring Operation: 11+83=94, Resulting Numbers: [75, 65, 94] Generated Node #2: [75, 65, 94] from Operation: 11+83=94 Current State: 46:[75, 65, 94], Operations: ['11+83=94'] Exploring Operation: 75+65=140, Resulting Numbers: [94, 140] Generated Node #3: [94, 140] from Operation: 75+65=140 Current State: 46:[94, 140], Operations: ['11+83=94', '75+65=140'] Exploring Operation: 140-94=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 6, 12, 68, 23 ]
70
[ "12-6=6", "23*6=138", "138-68=70" ]
Current State: 70:[6, 12, 68, 23], Operations: [] Exploring Operation: 12-6=6, Resulting Numbers: [68, 23, 6] Generated Node #2: [68, 23, 6] from Operation: 12-6=6 Current State: 70:[68, 23, 6], Operations: ['12-6=6'] Exploring Operation: 23*6=138, Resulting Numbers: [68, 138] Generated Node #3: [68, 138] from Operation: 23*6=138 Current State: 70:[68, 138], Operations: ['12-6=6', '23*6=138'] Exploring Operation: 138-68=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 77, 22, 25, 76 ]
47
[ "77-76=1", "22+25=47", "1*47=47" ]
Current State: 47:[77, 22, 25, 76], Operations: [] Exploring Operation: 77-76=1, Resulting Numbers: [22, 25, 1] Generated Node #2: [22, 25, 1] from Operation: 77-76=1 Current State: 47:[22, 25, 1], Operations: ['77-76=1'] Exploring Operation: 22+25=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 22+25=47 Current State: 47:[1, 47], Operations: ['77-76=1', '22+25=47'] Exploring Operation: 1*47=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 44, 36, 72, 65 ]
19
[ "65-44=21", "72/36=2", "21-2=19" ]
Current State: 19:[44, 36, 72, 65], Operations: [] Exploring Operation: 65-44=21, Resulting Numbers: [36, 72, 21] Generated Node #2: [36, 72, 21] from Operation: 65-44=21 Current State: 19:[36, 72, 21], Operations: ['65-44=21'] Exploring Operation: 72/36=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 72/36=2 Current State: 19:[21, 2], Operations: ['65-44=21', '72/36=2'] Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 2, 5, 35, 52 ]
57
[ "2+5=7", "35/7=5", "52+5=57" ]
Current State: 57:[2, 5, 35, 52], Operations: [] Exploring Operation: 2+5=7, Resulting Numbers: [35, 52, 7] Generated Node #2: [35, 52, 7] from Operation: 2+5=7 Current State: 57:[35, 52, 7], Operations: ['2+5=7'] Exploring Operation: 35/7=5, Resulting Numbers: [52, 5] Generated Node #3: [52, 5] from Operation: 35/7=5 Current State: 57:[52, 5], Operations: ['2+5=7', '35/7=5'] Exploring Operation: 52+5=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 58, 63, 10, 59 ]
72
[ "58+63=121", "59-10=49", "121-49=72" ]
Current State: 72:[58, 63, 10, 59], Operations: [] Exploring Operation: 58+63=121, Resulting Numbers: [10, 59, 121] Generated Node #2: [10, 59, 121] from Operation: 58+63=121 Current State: 72:[10, 59, 121], Operations: ['58+63=121'] Exploring Operation: 59-10=49, Resulting Numbers: [121, 49] Generated Node #3: [121, 49] from Operation: 59-10=49 Current State: 72:[121, 49], Operations: ['58+63=121', '59-10=49'] Exploring Operation: 121-49=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 57, 55, 58, 70 ]
82
[ "57-55=2", "70*2=140", "140-58=82" ]
Current State: 82:[57, 55, 58, 70], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [58, 70, 2] Generated Node #2: [58, 70, 2] from Operation: 57-55=2 Current State: 82:[58, 70, 2], Operations: ['57-55=2'] Exploring Operation: 70*2=140, Resulting Numbers: [58, 140] Generated Node #3: [58, 140] from Operation: 70*2=140 Current State: 82:[58, 140], Operations: ['57-55=2', '70*2=140'] Exploring Operation: 140-58=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 18, 24, 99, 32 ]
93
[ "24-18=6", "32*6=192", "192-99=93" ]
Current State: 93:[18, 24, 99, 32], Operations: [] Exploring Operation: 24-18=6, Resulting Numbers: [99, 32, 6] Generated Node #2: [99, 32, 6] from Operation: 24-18=6 Current State: 93:[99, 32, 6], Operations: ['24-18=6'] Exploring Operation: 32*6=192, Resulting Numbers: [99, 192] Generated Node #3: [99, 192] from Operation: 32*6=192 Current State: 93:[99, 192], Operations: ['24-18=6', '32*6=192'] Exploring Operation: 192-99=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 86, 62, 75, 55 ]
80
[ "86*55=4730", "62*75=4650", "4730-4650=80" ]
Current State: 80:[86, 62, 75, 55], Operations: [] Exploring Operation: 86*55=4730, Resulting Numbers: [62, 75, 4730] Generated Node #2: [62, 75, 4730] from Operation: 86*55=4730 Current State: 80:[62, 75, 4730], Operations: ['86*55=4730'] Exploring Operation: 62*75=4650, Resulting Numbers: [4730, 4650] Generated Node #3: [4730, 4650] from Operation: 62*75=4650 Current State: 80:[4730, 4650], Operations: ['86*55=4730', '62*75=4650'] Exploring Operation: 4730-4650=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4