nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 15, 44, 13, 82 ]
60
[ "15-13=2", "44/2=22", "82-22=60" ]
Current State: 60:[15, 44, 13, 82], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [44, 82, 2] Generated Node #2: [44, 82, 2] from Operation: 15-13=2 Current State: 60:[44, 82, 2], Operations: ['15-13=2'] Exploring Operation: 44/2=22, Resulting Numbers: [82, 22] Generated Node #3: [82, 22] from Operation: 44/2=22 Current State: 60:[82, 22], Operations: ['15-13=2', '44/2=22'] Exploring Operation: 82-22=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 25, 90, 94, 3 ]
89
[ "25+94=119", "90/3=30", "119-30=89" ]
Current State: 89:[25, 90, 94, 3], Operations: [] Exploring Operation: 25+94=119, Resulting Numbers: [90, 3, 119] Generated Node #2: [90, 3, 119] from Operation: 25+94=119 Current State: 89:[90, 3, 119], Operations: ['25+94=119'] Exploring Operation: 90/3=30, Resulting Numbers: [119, 30] Generated Node #3: [119, 30] from Operation: 90/3=30 Current State: 89:[119, 30], Operations: ['25+94=119', '90/3=30'] Exploring Operation: 119-30=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 31, 10, 62, 41 ]
72
[ "62/31=2", "41*2=82", "82-10=72" ]
Current State: 72:[31, 10, 62, 41], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [10, 41, 2] Generated Node #2: [10, 41, 2] from Operation: 62/31=2 Current State: 72:[10, 41, 2], Operations: ['62/31=2'] Exploring Operation: 41*2=82, Resulting Numbers: [10, 82] Generated Node #3: [10, 82] from Operation: 41*2=82 Current State: 72:[10, 82], Operations: ['62/31=2', '41*2=82'] Exploring Operation: 82-10=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 99, 92, 99, 23 ]
23
[ "99-99=0", "92*0=0", "23+0=23" ]
Current State: 23:[99, 92, 99, 23], Operations: [] Exploring Operation: 99-99=0, Resulting Numbers: [92, 23, 0] Generated Node #2: [92, 23, 0] from Operation: 99-99=0 Current State: 23:[92, 23, 0], Operations: ['99-99=0'] Exploring Operation: 92*0=0, Resulting Numbers: [23, 0] Generated Node #3: [23, 0] from Operation: 92*0=0 Current State: 23:[23, 0], Operations: ['99-99=0', '92*0=0'] Exploring Operation: 23+0=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 38, 80, 11, 30 ]
78
[ "30-11=19", "38/19=2", "80-2=78" ]
Current State: 78:[38, 80, 11, 30], Operations: [] Exploring Operation: 30-11=19, Resulting Numbers: [38, 80, 19] Generated Node #2: [38, 80, 19] from Operation: 30-11=19 Current State: 78:[38, 80, 19], Operations: ['30-11=19'] Exploring Operation: 38/19=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 38/19=2 Current State: 78:[80, 2], Operations: ['30-11=19', '38/19=2'] Exploring Operation: 80-2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 96, 3, 79, 27 ]
24
[ "96-79=17", "3*17=51", "51-27=24" ]
Current State: 24:[96, 3, 79, 27], Operations: [] Exploring Operation: 96-79=17, Resulting Numbers: [3, 27, 17] Generated Node #2: [3, 27, 17] from Operation: 96-79=17 Current State: 24:[3, 27, 17], Operations: ['96-79=17'] Exploring Operation: 3*17=51, Resulting Numbers: [27, 51] Generated Node #3: [27, 51] from Operation: 3*17=51 Current State: 24:[27, 51], Operations: ['96-79=17', '3*17=51'] Exploring Operation: 51-27=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 14, 50, 16, 33 ]
58
[ "16-14=2", "50/2=25", "33+25=58" ]
Current State: 58:[14, 50, 16, 33], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [50, 33, 2] Generated Node #2: [50, 33, 2] from Operation: 16-14=2 Current State: 58:[50, 33, 2], Operations: ['16-14=2'] Exploring Operation: 50/2=25, Resulting Numbers: [33, 25] Generated Node #3: [33, 25] from Operation: 50/2=25 Current State: 58:[33, 25], Operations: ['16-14=2', '50/2=25'] Exploring Operation: 33+25=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 91, 78, 85, 95 ]
86
[ "95-78=17", "85/17=5", "91-5=86" ]
Current State: 86:[91, 78, 85, 95], Operations: [] Exploring Operation: 95-78=17, Resulting Numbers: [91, 85, 17] Generated Node #2: [91, 85, 17] from Operation: 95-78=17 Current State: 86:[91, 85, 17], Operations: ['95-78=17'] Exploring Operation: 85/17=5, Resulting Numbers: [91, 5] Generated Node #3: [91, 5] from Operation: 85/17=5 Current State: 86:[91, 5], Operations: ['95-78=17', '85/17=5'] Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 50, 7, 81, 45 ]
83
[ "50-7=43", "81+45=126", "126-43=83" ]
Current State: 83:[50, 7, 81, 45], Operations: [] Exploring Operation: 50-7=43, Resulting Numbers: [81, 45, 43] Generated Node #2: [81, 45, 43] from Operation: 50-7=43 Current State: 83:[81, 45, 43], Operations: ['50-7=43'] Exploring Operation: 81+45=126, Resulting Numbers: [43, 126] Generated Node #3: [43, 126] from Operation: 81+45=126 Current State: 83:[43, 126], Operations: ['50-7=43', '81+45=126'] Exploring Operation: 126-43=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 13, 83, 17, 91 ]
12
[ "13+83=96", "17+91=108", "108-96=12" ]
Current State: 12:[13, 83, 17, 91], Operations: [] Exploring Operation: 13+83=96, Resulting Numbers: [17, 91, 96] Generated Node #2: [17, 91, 96] from Operation: 13+83=96 Current State: 12:[17, 91, 96], Operations: ['13+83=96'] Exploring Operation: 17+91=108, Resulting Numbers: [96, 108] Generated Node #3: [96, 108] from Operation: 17+91=108 Current State: 12:[96, 108], Operations: ['13+83=96', '17+91=108'] Exploring Operation: 108-96=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 4, 81, 16, 96 ]
35
[ "81-4=77", "16+96=112", "112-77=35" ]
Current State: 35:[4, 81, 16, 96], Operations: [] Exploring Operation: 81-4=77, Resulting Numbers: [16, 96, 77] Generated Node #2: [16, 96, 77] from Operation: 81-4=77 Current State: 35:[16, 96, 77], Operations: ['81-4=77'] Exploring Operation: 16+96=112, Resulting Numbers: [77, 112] Generated Node #3: [77, 112] from Operation: 16+96=112 Current State: 35:[77, 112], Operations: ['81-4=77', '16+96=112'] Exploring Operation: 112-77=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 78, 62, 11, 94 ]
57
[ "78+62=140", "94-11=83", "140-83=57" ]
Current State: 57:[78, 62, 11, 94], Operations: [] Exploring Operation: 78+62=140, Resulting Numbers: [11, 94, 140] Generated Node #2: [11, 94, 140] from Operation: 78+62=140 Current State: 57:[11, 94, 140], Operations: ['78+62=140'] Exploring Operation: 94-11=83, Resulting Numbers: [140, 83] Generated Node #3: [140, 83] from Operation: 94-11=83 Current State: 57:[140, 83], Operations: ['78+62=140', '94-11=83'] Exploring Operation: 140-83=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 72, 57, 54, 73 ]
75
[ "73-54=19", "57/19=3", "72+3=75" ]
Current State: 75:[72, 57, 54, 73], Operations: [] Exploring Operation: 73-54=19, Resulting Numbers: [72, 57, 19] Generated Node #2: [72, 57, 19] from Operation: 73-54=19 Current State: 75:[72, 57, 19], Operations: ['73-54=19'] Exploring Operation: 57/19=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 57/19=3 Current State: 75:[72, 3], Operations: ['73-54=19', '57/19=3'] Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 20, 29, 19, 8 ]
99
[ "29-20=9", "19-8=11", "9*11=99" ]
Current State: 99:[20, 29, 19, 8], Operations: [] Exploring Operation: 29-20=9, Resulting Numbers: [19, 8, 9] Generated Node #2: [19, 8, 9] from Operation: 29-20=9 Current State: 99:[19, 8, 9], Operations: ['29-20=9'] Exploring Operation: 19-8=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 19-8=11 Current State: 99:[9, 11], Operations: ['29-20=9', '19-8=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 10, 60, 16, 11 ]
10
[ "60-10=50", "16-11=5", "50/5=10" ]
Current State: 10:[10, 60, 16, 11], Operations: [] Exploring Operation: 60-10=50, Resulting Numbers: [16, 11, 50] Generated Node #2: [16, 11, 50] from Operation: 60-10=50 Current State: 10:[16, 11, 50], Operations: ['60-10=50'] Exploring Operation: 16-11=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 16-11=5 Current State: 10:[50, 5], Operations: ['60-10=50', '16-11=5'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 4, 76, 44, 25 ]
99
[ "4+76=80", "44-25=19", "80+19=99" ]
Current State: 99:[4, 76, 44, 25], Operations: [] Exploring Operation: 4+76=80, Resulting Numbers: [44, 25, 80] Generated Node #2: [44, 25, 80] from Operation: 4+76=80 Current State: 99:[44, 25, 80], Operations: ['4+76=80'] Exploring Operation: 44-25=19, Resulting Numbers: [80, 19] Generated Node #3: [80, 19] from Operation: 44-25=19 Current State: 99:[80, 19], Operations: ['4+76=80', '44-25=19'] Exploring Operation: 80+19=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 85, 41, 46, 55 ]
14
[ "85+41=126", "55-46=9", "126/9=14" ]
Current State: 14:[85, 41, 46, 55], Operations: [] Exploring Operation: 85+41=126, Resulting Numbers: [46, 55, 126] Generated Node #2: [46, 55, 126] from Operation: 85+41=126 Current State: 14:[46, 55, 126], Operations: ['85+41=126'] Exploring Operation: 55-46=9, Resulting Numbers: [126, 9] Generated Node #3: [126, 9] from Operation: 55-46=9 Current State: 14:[126, 9], Operations: ['85+41=126', '55-46=9'] Exploring Operation: 126/9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 85, 83, 56, 45 ]
99
[ "85-83=2", "56+45=101", "101-2=99" ]
Current State: 99:[85, 83, 56, 45], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [56, 45, 2] Generated Node #2: [56, 45, 2] from Operation: 85-83=2 Current State: 99:[56, 45, 2], Operations: ['85-83=2'] Exploring Operation: 56+45=101, Resulting Numbers: [2, 101] Generated Node #3: [2, 101] from Operation: 56+45=101 Current State: 99:[2, 101], Operations: ['85-83=2', '56+45=101'] Exploring Operation: 101-2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 66, 44, 22, 24 ]
48
[ "66+22=88", "88/44=2", "24*2=48" ]
Current State: 48:[66, 44, 22, 24], Operations: [] Exploring Operation: 66+22=88, Resulting Numbers: [44, 24, 88] Generated Node #2: [44, 24, 88] from Operation: 66+22=88 Current State: 48:[44, 24, 88], Operations: ['66+22=88'] Exploring Operation: 88/44=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 88/44=2 Current State: 48:[24, 2], Operations: ['66+22=88', '88/44=2'] Exploring Operation: 24*2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 39, 7, 62, 33 ]
93
[ "39*62=2418", "33-7=26", "2418/26=93" ]
Current State: 93:[39, 7, 62, 33], Operations: [] Exploring Operation: 39*62=2418, Resulting Numbers: [7, 33, 2418] Generated Node #2: [7, 33, 2418] from Operation: 39*62=2418 Current State: 93:[7, 33, 2418], Operations: ['39*62=2418'] Exploring Operation: 33-7=26, Resulting Numbers: [2418, 26] Generated Node #3: [2418, 26] from Operation: 33-7=26 Current State: 93:[2418, 26], Operations: ['39*62=2418', '33-7=26'] Exploring Operation: 2418/26=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 52, 9, 63, 46 ]
21
[ "52-9=43", "46-43=3", "63/3=21" ]
Current State: 21:[52, 9, 63, 46], Operations: [] Exploring Operation: 52-9=43, Resulting Numbers: [63, 46, 43] Generated Node #2: [63, 46, 43] from Operation: 52-9=43 Current State: 21:[63, 46, 43], Operations: ['52-9=43'] Exploring Operation: 46-43=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 46-43=3 Current State: 21:[63, 3], Operations: ['52-9=43', '46-43=3'] Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 8, 36, 27, 57 ]
58
[ "36-8=28", "57-27=30", "28+30=58" ]
Current State: 58:[8, 36, 27, 57], Operations: [] Exploring Operation: 36-8=28, Resulting Numbers: [27, 57, 28] Generated Node #2: [27, 57, 28] from Operation: 36-8=28 Current State: 58:[27, 57, 28], Operations: ['36-8=28'] Exploring Operation: 57-27=30, Resulting Numbers: [28, 30] Generated Node #3: [28, 30] from Operation: 57-27=30 Current State: 58:[28, 30], Operations: ['36-8=28', '57-27=30'] Exploring Operation: 28+30=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 21, 76, 2, 1 ]
83
[ "2+1=3", "21/3=7", "76+7=83" ]
Current State: 83:[21, 76, 2, 1], Operations: [] Exploring Operation: 2+1=3, Resulting Numbers: [21, 76, 3] Generated Node #2: [21, 76, 3] from Operation: 2+1=3 Current State: 83:[21, 76, 3], Operations: ['2+1=3'] Exploring Operation: 21/3=7, Resulting Numbers: [76, 7] Generated Node #3: [76, 7] from Operation: 21/3=7 Current State: 83:[76, 7], Operations: ['2+1=3', '21/3=7'] Exploring Operation: 76+7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 26, 2, 44, 13 ]
84
[ "26/13=2", "44-2=42", "2*42=84" ]
Current State: 84:[26, 2, 44, 13], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [2, 44, 2] Generated Node #2: [2, 44, 2] from Operation: 26/13=2 Current State: 84:[2, 44, 2], Operations: ['26/13=2'] Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,84 equal: Goal Reached Exploring Operation: 2*42=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 47, 5, 81, 40 ]
79
[ "47-5=42", "81+40=121", "121-42=79" ]
Current State: 79:[47, 5, 81, 40], Operations: [] Exploring Operation: 47-5=42, Resulting Numbers: [81, 40, 42] Generated Node #2: [81, 40, 42] from Operation: 47-5=42 Current State: 79:[81, 40, 42], Operations: ['47-5=42'] Exploring Operation: 81+40=121, Resulting Numbers: [42, 121] Generated Node #3: [42, 121] from Operation: 81+40=121 Current State: 79:[42, 121], Operations: ['47-5=42', '81+40=121'] Exploring Operation: 121-42=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 50, 75, 69, 63 ]
52
[ "75+63=138", "138/69=2", "50+2=52" ]
Current State: 52:[50, 75, 69, 63], Operations: [] Exploring Operation: 75+63=138, Resulting Numbers: [50, 69, 138] Generated Node #2: [50, 69, 138] from Operation: 75+63=138 Current State: 52:[50, 69, 138], Operations: ['75+63=138'] Exploring Operation: 138/69=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 138/69=2 Current State: 52:[50, 2], Operations: ['75+63=138', '138/69=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 38, 37, 16, 40 ]
51
[ "38+37=75", "40-16=24", "75-24=51" ]
Current State: 51:[38, 37, 16, 40], Operations: [] Exploring Operation: 38+37=75, Resulting Numbers: [16, 40, 75] Generated Node #2: [16, 40, 75] from Operation: 38+37=75 Current State: 51:[16, 40, 75], Operations: ['38+37=75'] Exploring Operation: 40-16=24, Resulting Numbers: [75, 24] Generated Node #3: [75, 24] from Operation: 40-16=24 Current State: 51:[75, 24], Operations: ['38+37=75', '40-16=24'] Exploring Operation: 75-24=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 29, 24, 48, 93 ]
66
[ "93-29=64", "48/24=2", "64+2=66" ]
Current State: 66:[29, 24, 48, 93], Operations: [] Exploring Operation: 93-29=64, Resulting Numbers: [24, 48, 64] Generated Node #2: [24, 48, 64] from Operation: 93-29=64 Current State: 66:[24, 48, 64], Operations: ['93-29=64'] Exploring Operation: 48/24=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 48/24=2 Current State: 66:[64, 2], Operations: ['93-29=64', '48/24=2'] Exploring Operation: 64+2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 6, 63, 7, 41 ]
20
[ "6*7=42", "63-41=22", "42-22=20" ]
Current State: 20:[6, 63, 7, 41], Operations: [] Exploring Operation: 6*7=42, Resulting Numbers: [63, 41, 42] Generated Node #2: [63, 41, 42] from Operation: 6*7=42 Current State: 20:[63, 41, 42], Operations: ['6*7=42'] Exploring Operation: 63-41=22, Resulting Numbers: [42, 22] Generated Node #3: [42, 22] from Operation: 63-41=22 Current State: 20:[42, 22], Operations: ['6*7=42', '63-41=22'] Exploring Operation: 42-22=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 34, 30, 44, 7 ]
100
[ "44-34=10", "7*10=70", "30+70=100" ]
Current State: 100:[34, 30, 44, 7], Operations: [] Exploring Operation: 44-34=10, Resulting Numbers: [30, 7, 10] Generated Node #2: [30, 7, 10] from Operation: 44-34=10 Current State: 100:[30, 7, 10], Operations: ['44-34=10'] Exploring Operation: 7*10=70, Resulting Numbers: [30, 70] Generated Node #3: [30, 70] from Operation: 7*10=70 Current State: 100:[30, 70], Operations: ['44-34=10', '7*10=70'] Exploring Operation: 30+70=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 23, 87, 80, 89 ]
59
[ "23+87=110", "80+89=169", "169-110=59" ]
Current State: 59:[23, 87, 80, 89], Operations: [] Exploring Operation: 23+87=110, Resulting Numbers: [80, 89, 110] Generated Node #2: [80, 89, 110] from Operation: 23+87=110 Current State: 59:[80, 89, 110], Operations: ['23+87=110'] Exploring Operation: 80+89=169, Resulting Numbers: [110, 169] Generated Node #3: [110, 169] from Operation: 80+89=169 Current State: 59:[110, 169], Operations: ['23+87=110', '80+89=169'] Exploring Operation: 169-110=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 26, 2, 55, 99 ]
41
[ "55-26=29", "2*29=58", "99-58=41" ]
Current State: 41:[26, 2, 55, 99], Operations: [] Exploring Operation: 55-26=29, Resulting Numbers: [2, 99, 29] Generated Node #2: [2, 99, 29] from Operation: 55-26=29 Current State: 41:[2, 99, 29], Operations: ['55-26=29'] Exploring Operation: 2*29=58, Resulting Numbers: [99, 58] Generated Node #3: [99, 58] from Operation: 2*29=58 Current State: 41:[99, 58], Operations: ['55-26=29', '2*29=58'] Exploring Operation: 99-58=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 38, 46, 3, 66 ]
42
[ "46-38=8", "3*8=24", "66-24=42" ]
Current State: 42:[38, 46, 3, 66], Operations: [] Exploring Operation: 46-38=8, Resulting Numbers: [3, 66, 8] Generated Node #2: [3, 66, 8] from Operation: 46-38=8 Current State: 42:[3, 66, 8], Operations: ['46-38=8'] Exploring Operation: 3*8=24, Resulting Numbers: [66, 24] Generated Node #3: [66, 24] from Operation: 3*8=24 Current State: 42:[66, 24], Operations: ['46-38=8', '3*8=24'] Exploring Operation: 66-24=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 18, 26, 68, 46 ]
28
[ "18*68=1224", "26*46=1196", "1224-1196=28" ]
Current State: 28:[18, 26, 68, 46], Operations: [] Exploring Operation: 18*68=1224, Resulting Numbers: [26, 46, 1224] Generated Node #2: [26, 46, 1224] from Operation: 18*68=1224 Current State: 28:[26, 46, 1224], Operations: ['18*68=1224'] Exploring Operation: 26*46=1196, Resulting Numbers: [1224, 1196] Generated Node #3: [1224, 1196] from Operation: 26*46=1196 Current State: 28:[1224, 1196], Operations: ['18*68=1224', '26*46=1196'] Exploring Operation: 1224-1196=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 74, 79, 84, 50 ]
100
[ "74+84=158", "158/79=2", "50*2=100" ]
Current State: 100:[74, 79, 84, 50], Operations: [] Exploring Operation: 74+84=158, Resulting Numbers: [79, 50, 158] Generated Node #2: [79, 50, 158] from Operation: 74+84=158 Current State: 100:[79, 50, 158], Operations: ['74+84=158'] Exploring Operation: 158/79=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 158/79=2 Current State: 100:[50, 2], Operations: ['74+84=158', '158/79=2'] Exploring Operation: 50*2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 79, 35, 46, 29 ]
97
[ "79+35=114", "46-29=17", "114-17=97" ]
Current State: 97:[79, 35, 46, 29], Operations: [] Exploring Operation: 79+35=114, Resulting Numbers: [46, 29, 114] Generated Node #2: [46, 29, 114] from Operation: 79+35=114 Current State: 97:[46, 29, 114], Operations: ['79+35=114'] Exploring Operation: 46-29=17, Resulting Numbers: [114, 17] Generated Node #3: [114, 17] from Operation: 46-29=17 Current State: 97:[114, 17], Operations: ['79+35=114', '46-29=17'] Exploring Operation: 114-17=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 92, 22, 34, 28 ]
19
[ "92+22=114", "34-28=6", "114/6=19" ]
Current State: 19:[92, 22, 34, 28], Operations: [] Exploring Operation: 92+22=114, Resulting Numbers: [34, 28, 114] Generated Node #2: [34, 28, 114] from Operation: 92+22=114 Current State: 19:[34, 28, 114], Operations: ['92+22=114'] Exploring Operation: 34-28=6, Resulting Numbers: [114, 6] Generated Node #3: [114, 6] from Operation: 34-28=6 Current State: 19:[114, 6], Operations: ['92+22=114', '34-28=6'] Exploring Operation: 114/6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 46, 22, 40, 17 ]
47
[ "46-22=24", "40-17=23", "24+23=47" ]
Current State: 47:[46, 22, 40, 17], Operations: [] Exploring Operation: 46-22=24, Resulting Numbers: [40, 17, 24] Generated Node #2: [40, 17, 24] from Operation: 46-22=24 Current State: 47:[40, 17, 24], Operations: ['46-22=24'] Exploring Operation: 40-17=23, Resulting Numbers: [24, 23] Generated Node #3: [24, 23] from Operation: 40-17=23 Current State: 47:[24, 23], Operations: ['46-22=24', '40-17=23'] Exploring Operation: 24+23=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 17, 70, 98, 42 ]
87
[ "70-17=53", "98+42=140", "140-53=87" ]
Current State: 87:[17, 70, 98, 42], Operations: [] Exploring Operation: 70-17=53, Resulting Numbers: [98, 42, 53] Generated Node #2: [98, 42, 53] from Operation: 70-17=53 Current State: 87:[98, 42, 53], Operations: ['70-17=53'] Exploring Operation: 98+42=140, Resulting Numbers: [53, 140] Generated Node #3: [53, 140] from Operation: 98+42=140 Current State: 87:[53, 140], Operations: ['70-17=53', '98+42=140'] Exploring Operation: 140-53=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 50, 70, 7, 28 ]
64
[ "70+28=98", "98/7=14", "50+14=64" ]
Current State: 64:[50, 70, 7, 28], Operations: [] Exploring Operation: 70+28=98, Resulting Numbers: [50, 7, 98] Generated Node #2: [50, 7, 98] from Operation: 70+28=98 Current State: 64:[50, 7, 98], Operations: ['70+28=98'] Exploring Operation: 98/7=14, Resulting Numbers: [50, 14] Generated Node #3: [50, 14] from Operation: 98/7=14 Current State: 64:[50, 14], Operations: ['70+28=98', '98/7=14'] Exploring Operation: 50+14=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 50, 43, 43, 41 ]
12
[ "50-43=7", "43+41=84", "84/7=12" ]
Current State: 12:[50, 43, 43, 41], Operations: [] Exploring Operation: 50-43=7, Resulting Numbers: [41, 7] Generated Node #2: [41, 7] from Operation: 50-43=7 Current State: 12:[41, 7], Operations: ['50-43=7'] Exploring Operation: 43+41=84, Resulting Numbers: [7, 84] Generated Node #3: [7, 84] from Operation: 43+41=84 Current State: 12:[7, 84], Operations: ['50-43=7', '43+41=84'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 64, 49, 88, 75 ]
28
[ "64-49=15", "88-75=13", "15+13=28" ]
Current State: 28:[64, 49, 88, 75], Operations: [] Exploring Operation: 64-49=15, Resulting Numbers: [88, 75, 15] Generated Node #2: [88, 75, 15] from Operation: 64-49=15 Current State: 28:[88, 75, 15], Operations: ['64-49=15'] Exploring Operation: 88-75=13, Resulting Numbers: [15, 13] Generated Node #3: [15, 13] from Operation: 88-75=13 Current State: 28:[15, 13], Operations: ['64-49=15', '88-75=13'] Exploring Operation: 15+13=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 2, 62, 3, 32 ]
54
[ "62-3=59", "59-32=27", "2*27=54" ]
Current State: 54:[2, 62, 3, 32], Operations: [] Exploring Operation: 62-3=59, Resulting Numbers: [2, 32, 59] Generated Node #2: [2, 32, 59] from Operation: 62-3=59 Current State: 54:[2, 32, 59], Operations: ['62-3=59'] Exploring Operation: 59-32=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 59-32=27 Current State: 54:[2, 27], Operations: ['62-3=59', '59-32=27'] Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 83, 84, 5, 28 ]
95
[ "83-28=55", "55/5=11", "84+11=95" ]
Current State: 95:[83, 84, 5, 28], Operations: [] Exploring Operation: 83-28=55, Resulting Numbers: [84, 5, 55] Generated Node #2: [84, 5, 55] from Operation: 83-28=55 Current State: 95:[84, 5, 55], Operations: ['83-28=55'] Exploring Operation: 55/5=11, Resulting Numbers: [84, 11] Generated Node #3: [84, 11] from Operation: 55/5=11 Current State: 95:[84, 11], Operations: ['83-28=55', '55/5=11'] Exploring Operation: 84+11=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 17, 50, 77, 24 ]
34
[ "17+50=67", "77+24=101", "101-67=34" ]
Current State: 34:[17, 50, 77, 24], Operations: [] Exploring Operation: 17+50=67, Resulting Numbers: [77, 24, 67] Generated Node #2: [77, 24, 67] from Operation: 17+50=67 Current State: 34:[77, 24, 67], Operations: ['17+50=67'] Exploring Operation: 77+24=101, Resulting Numbers: [67, 101] Generated Node #3: [67, 101] from Operation: 77+24=101 Current State: 34:[67, 101], Operations: ['17+50=67', '77+24=101'] Exploring Operation: 101-67=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 37, 52, 76, 18 ]
13
[ "37-18=19", "52*19=988", "988/76=13" ]
Current State: 13:[37, 52, 76, 18], Operations: [] Exploring Operation: 37-18=19, Resulting Numbers: [52, 76, 19] Generated Node #2: [52, 76, 19] from Operation: 37-18=19 Current State: 13:[52, 76, 19], Operations: ['37-18=19'] Exploring Operation: 52*19=988, Resulting Numbers: [76, 988] Generated Node #3: [76, 988] from Operation: 52*19=988 Current State: 13:[76, 988], Operations: ['37-18=19', '52*19=988'] Exploring Operation: 988/76=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 10, 62, 13, 33 ]
35
[ "10*13=130", "62+33=95", "130-95=35" ]
Current State: 35:[10, 62, 13, 33], Operations: [] Exploring Operation: 10*13=130, Resulting Numbers: [62, 33, 130] Generated Node #2: [62, 33, 130] from Operation: 10*13=130 Current State: 35:[62, 33, 130], Operations: ['10*13=130'] Exploring Operation: 62+33=95, Resulting Numbers: [130, 95] Generated Node #3: [130, 95] from Operation: 62+33=95 Current State: 35:[130, 95], Operations: ['10*13=130', '62+33=95'] Exploring Operation: 130-95=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 8, 20, 13, 4 ]
36
[ "20-13=7", "4*7=28", "8+28=36" ]
Current State: 36:[8, 20, 13, 4], Operations: [] Exploring Operation: 20-13=7, Resulting Numbers: [8, 4, 7] Generated Node #2: [8, 4, 7] from Operation: 20-13=7 Current State: 36:[8, 4, 7], Operations: ['20-13=7'] Exploring Operation: 4*7=28, Resulting Numbers: [8, 28] Generated Node #3: [8, 28] from Operation: 4*7=28 Current State: 36:[8, 28], Operations: ['20-13=7', '4*7=28'] Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 17, 80, 51, 79 ]
67
[ "80-17=63", "51+79=130", "130-63=67" ]
Current State: 67:[17, 80, 51, 79], Operations: [] Exploring Operation: 80-17=63, Resulting Numbers: [51, 79, 63] Generated Node #2: [51, 79, 63] from Operation: 80-17=63 Current State: 67:[51, 79, 63], Operations: ['80-17=63'] Exploring Operation: 51+79=130, Resulting Numbers: [63, 130] Generated Node #3: [63, 130] from Operation: 51+79=130 Current State: 67:[63, 130], Operations: ['80-17=63', '51+79=130'] Exploring Operation: 130-63=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 78, 70, 7, 12 ]
13
[ "78-70=8", "12-7=5", "8+5=13" ]
Current State: 13:[78, 70, 7, 12], Operations: [] Exploring Operation: 78-70=8, Resulting Numbers: [7, 12, 8] Generated Node #2: [7, 12, 8] from Operation: 78-70=8 Current State: 13:[7, 12, 8], Operations: ['78-70=8'] Exploring Operation: 12-7=5, Resulting Numbers: [8, 5] Generated Node #3: [8, 5] from Operation: 12-7=5 Current State: 13:[8, 5], Operations: ['78-70=8', '12-7=5'] Exploring Operation: 8+5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 79, 6, 16, 10 ]
78
[ "16-6=10", "10/10=1", "79-1=78" ]
Current State: 78:[79, 6, 16, 10], Operations: [] Exploring Operation: 16-6=10, Resulting Numbers: [79, 10, 10] Generated Node #2: [79, 10, 10] from Operation: 16-6=10 Current State: 78:[79, 10, 10], Operations: ['16-6=10'] Exploring Operation: 10/10=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 10/10=1 Current State: 78:[79, 1], Operations: ['16-6=10', '10/10=1'] Exploring Operation: 79-1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 93, 55, 72, 27 ]
81
[ "93+72=165", "165/55=3", "27*3=81" ]
Current State: 81:[93, 55, 72, 27], Operations: [] Exploring Operation: 93+72=165, Resulting Numbers: [55, 27, 165] Generated Node #2: [55, 27, 165] from Operation: 93+72=165 Current State: 81:[55, 27, 165], Operations: ['93+72=165'] Exploring Operation: 165/55=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 165/55=3 Current State: 81:[27, 3], Operations: ['93+72=165', '165/55=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 47, 42, 24, 41 ]
72
[ "47+42=89", "41-24=17", "89-17=72" ]
Current State: 72:[47, 42, 24, 41], Operations: [] Exploring Operation: 47+42=89, Resulting Numbers: [24, 41, 89] Generated Node #2: [24, 41, 89] from Operation: 47+42=89 Current State: 72:[24, 41, 89], Operations: ['47+42=89'] Exploring Operation: 41-24=17, Resulting Numbers: [89, 17] Generated Node #3: [89, 17] from Operation: 41-24=17 Current State: 72:[89, 17], Operations: ['47+42=89', '41-24=17'] Exploring Operation: 89-17=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 23, 32, 15, 64 ]
70
[ "32-23=9", "15+64=79", "79-9=70" ]
Current State: 70:[23, 32, 15, 64], Operations: [] Exploring Operation: 32-23=9, Resulting Numbers: [15, 64, 9] Generated Node #2: [15, 64, 9] from Operation: 32-23=9 Current State: 70:[15, 64, 9], Operations: ['32-23=9'] Exploring Operation: 15+64=79, Resulting Numbers: [9, 79] Generated Node #3: [9, 79] from Operation: 15+64=79 Current State: 70:[9, 79], Operations: ['32-23=9', '15+64=79'] Exploring Operation: 79-9=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 50, 79, 18, 26 ]
85
[ "50+79=129", "18+26=44", "129-44=85" ]
Current State: 85:[50, 79, 18, 26], Operations: [] Exploring Operation: 50+79=129, Resulting Numbers: [18, 26, 129] Generated Node #2: [18, 26, 129] from Operation: 50+79=129 Current State: 85:[18, 26, 129], Operations: ['50+79=129'] Exploring Operation: 18+26=44, Resulting Numbers: [129, 44] Generated Node #3: [129, 44] from Operation: 18+26=44 Current State: 85:[129, 44], Operations: ['50+79=129', '18+26=44'] Exploring Operation: 129-44=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 2, 12, 20, 2 ]
64
[ "2*12=24", "20*2=40", "24+40=64" ]
Current State: 64:[2, 12, 20, 2], Operations: [] Exploring Operation: 2*12=24, Resulting Numbers: [20, 24] Generated Node #2: [20, 24] from Operation: 2*12=24 Current State: 64:[20, 24], Operations: ['2*12=24'] Exploring Operation: 20*2=40, Resulting Numbers: [24, 40] Generated Node #3: [24, 40] from Operation: 20*2=40 Current State: 64:[24, 40], Operations: ['2*12=24', '20*2=40'] Exploring Operation: 24+40=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 68, 5, 77, 39 ]
50
[ "68+77=145", "5*39=195", "195-145=50" ]
Current State: 50:[68, 5, 77, 39], Operations: [] Exploring Operation: 68+77=145, Resulting Numbers: [5, 39, 145] Generated Node #2: [5, 39, 145] from Operation: 68+77=145 Current State: 50:[5, 39, 145], Operations: ['68+77=145'] Exploring Operation: 5*39=195, Resulting Numbers: [145, 195] Generated Node #3: [145, 195] from Operation: 5*39=195 Current State: 50:[145, 195], Operations: ['68+77=145', '5*39=195'] Exploring Operation: 195-145=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 98, 70, 42, 49 ]
77
[ "98+70=168", "42+49=91", "168-91=77" ]
Current State: 77:[98, 70, 42, 49], Operations: [] Exploring Operation: 98+70=168, Resulting Numbers: [42, 49, 168] Generated Node #2: [42, 49, 168] from Operation: 98+70=168 Current State: 77:[42, 49, 168], Operations: ['98+70=168'] Exploring Operation: 42+49=91, Resulting Numbers: [168, 91] Generated Node #3: [168, 91] from Operation: 42+49=91 Current State: 77:[168, 91], Operations: ['98+70=168', '42+49=91'] Exploring Operation: 168-91=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 7, 53, 21, 2 ]
58
[ "21/7=3", "53+2=55", "3+55=58" ]
Current State: 58:[7, 53, 21, 2], Operations: [] Exploring Operation: 21/7=3, Resulting Numbers: [53, 2, 3] Generated Node #2: [53, 2, 3] from Operation: 21/7=3 Current State: 58:[53, 2, 3], Operations: ['21/7=3'] Exploring Operation: 53+2=55, Resulting Numbers: [3, 55] Generated Node #3: [3, 55] from Operation: 53+2=55 Current State: 58:[3, 55], Operations: ['21/7=3', '53+2=55'] Exploring Operation: 3+55=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 11, 10, 21, 18 ]
13
[ "18-11=7", "21/7=3", "10+3=13" ]
Current State: 13:[11, 10, 21, 18], Operations: [] Exploring Operation: 18-11=7, Resulting Numbers: [10, 21, 7] Generated Node #2: [10, 21, 7] from Operation: 18-11=7 Current State: 13:[10, 21, 7], Operations: ['18-11=7'] Exploring Operation: 21/7=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 21/7=3 Current State: 13:[10, 3], Operations: ['18-11=7', '21/7=3'] Exploring Operation: 10+3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 44, 47, 29, 65 ]
42
[ "29+65=94", "94/47=2", "44-2=42" ]
Current State: 42:[44, 47, 29, 65], Operations: [] Exploring Operation: 29+65=94, Resulting Numbers: [44, 47, 94] Generated Node #2: [44, 47, 94] from Operation: 29+65=94 Current State: 42:[44, 47, 94], Operations: ['29+65=94'] Exploring Operation: 94/47=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 94/47=2 Current State: 42:[44, 2], Operations: ['29+65=94', '94/47=2'] Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 10, 85, 73, 30 ]
36
[ "30/10=3", "85-73=12", "3*12=36" ]
Current State: 36:[10, 85, 73, 30], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [85, 73, 3] Generated Node #2: [85, 73, 3] from Operation: 30/10=3 Current State: 36:[85, 73, 3], Operations: ['30/10=3'] Exploring Operation: 85-73=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 85-73=12 Current State: 36:[3, 12], Operations: ['30/10=3', '85-73=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 44, 47, 54, 4 ]
72
[ "47-44=3", "54*4=216", "216/3=72" ]
Current State: 72:[44, 47, 54, 4], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [54, 4, 3] Generated Node #2: [54, 4, 3] from Operation: 47-44=3 Current State: 72:[54, 4, 3], Operations: ['47-44=3'] Exploring Operation: 54*4=216, Resulting Numbers: [3, 216] Generated Node #3: [3, 216] from Operation: 54*4=216 Current State: 72:[3, 216], Operations: ['47-44=3', '54*4=216'] Exploring Operation: 216/3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 15, 58, 7, 1 ]
49
[ "58-15=43", "7-1=6", "43+6=49" ]
Current State: 49:[15, 58, 7, 1], Operations: [] Exploring Operation: 58-15=43, Resulting Numbers: [7, 1, 43] Generated Node #2: [7, 1, 43] from Operation: 58-15=43 Current State: 49:[7, 1, 43], Operations: ['58-15=43'] Exploring Operation: 7-1=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 7-1=6 Current State: 49:[43, 6], Operations: ['58-15=43', '7-1=6'] Exploring Operation: 43+6=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 18, 33, 49, 37 ]
27
[ "33-18=15", "49-37=12", "15+12=27" ]
Current State: 27:[18, 33, 49, 37], Operations: [] Exploring Operation: 33-18=15, Resulting Numbers: [49, 37, 15] Generated Node #2: [49, 37, 15] from Operation: 33-18=15 Current State: 27:[49, 37, 15], Operations: ['33-18=15'] Exploring Operation: 49-37=12, Resulting Numbers: [15, 12] Generated Node #3: [15, 12] from Operation: 49-37=12 Current State: 27:[15, 12], Operations: ['33-18=15', '49-37=12'] Exploring Operation: 15+12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 48, 96, 30 ]
81
[ "96-30=66", "66/2=33", "48+33=81" ]
Current State: 81:[2, 48, 96, 30], Operations: [] Exploring Operation: 96-30=66, Resulting Numbers: [2, 48, 66] Generated Node #2: [2, 48, 66] from Operation: 96-30=66 Current State: 81:[2, 48, 66], Operations: ['96-30=66'] Exploring Operation: 66/2=33, Resulting Numbers: [48, 33] Generated Node #3: [48, 33] from Operation: 66/2=33 Current State: 81:[48, 33], Operations: ['96-30=66', '66/2=33'] Exploring Operation: 48+33=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 71, 30, 66, 68 ]
99
[ "71+30=101", "68-66=2", "101-2=99" ]
Current State: 99:[71, 30, 66, 68], Operations: [] Exploring Operation: 71+30=101, Resulting Numbers: [66, 68, 101] Generated Node #2: [66, 68, 101] from Operation: 71+30=101 Current State: 99:[66, 68, 101], Operations: ['71+30=101'] Exploring Operation: 68-66=2, Resulting Numbers: [101, 2] Generated Node #3: [101, 2] from Operation: 68-66=2 Current State: 99:[101, 2], Operations: ['71+30=101', '68-66=2'] Exploring Operation: 101-2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 91, 73, 47, 10 ]
79
[ "73+47=120", "120/10=12", "91-12=79" ]
Current State: 79:[91, 73, 47, 10], Operations: [] Exploring Operation: 73+47=120, Resulting Numbers: [91, 10, 120] Generated Node #2: [91, 10, 120] from Operation: 73+47=120 Current State: 79:[91, 10, 120], Operations: ['73+47=120'] Exploring Operation: 120/10=12, Resulting Numbers: [91, 12] Generated Node #3: [91, 12] from Operation: 120/10=12 Current State: 79:[91, 12], Operations: ['73+47=120', '120/10=12'] Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 8, 6, 84, 6 ]
21
[ "8-6=2", "6-2=4", "84/4=21" ]
Current State: 21:[8, 6, 84, 6], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [84, 2] Generated Node #2: [84, 2] from Operation: 8-6=2 Current State: 21:[84, 2], Operations: ['8-6=2'] Exploring Operation: 6-2=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 6-2=4 Current State: 21:[84, 4], Operations: ['8-6=2', '6-2=4'] Exploring Operation: 84/4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 61, 39, 26, 6 ]
42
[ "61-39=22", "26-6=20", "22+20=42" ]
Current State: 42:[61, 39, 26, 6], Operations: [] Exploring Operation: 61-39=22, Resulting Numbers: [26, 6, 22] Generated Node #2: [26, 6, 22] from Operation: 61-39=22 Current State: 42:[26, 6, 22], Operations: ['61-39=22'] Exploring Operation: 26-6=20, Resulting Numbers: [22, 20] Generated Node #3: [22, 20] from Operation: 26-6=20 Current State: 42:[22, 20], Operations: ['61-39=22', '26-6=20'] Exploring Operation: 22+20=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 85, 20, 96, 95 ]
87
[ "85+95=180", "180/20=9", "96-9=87" ]
Current State: 87:[85, 20, 96, 95], Operations: [] Exploring Operation: 85+95=180, Resulting Numbers: [20, 96, 180] Generated Node #2: [20, 96, 180] from Operation: 85+95=180 Current State: 87:[20, 96, 180], Operations: ['85+95=180'] Exploring Operation: 180/20=9, Resulting Numbers: [96, 9] Generated Node #3: [96, 9] from Operation: 180/20=9 Current State: 87:[96, 9], Operations: ['85+95=180', '180/20=9'] Exploring Operation: 96-9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 1, 49, 15, 8 ]
63
[ "15-1=14", "8*14=112", "112-49=63" ]
Current State: 63:[1, 49, 15, 8], Operations: [] Exploring Operation: 15-1=14, Resulting Numbers: [49, 8, 14] Generated Node #2: [49, 8, 14] from Operation: 15-1=14 Current State: 63:[49, 8, 14], Operations: ['15-1=14'] Exploring Operation: 8*14=112, Resulting Numbers: [49, 112] Generated Node #3: [49, 112] from Operation: 8*14=112 Current State: 63:[49, 112], Operations: ['15-1=14', '8*14=112'] Exploring Operation: 112-49=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 52, 9, 51, 56 ]
38
[ "52-9=43", "56-51=5", "43-5=38" ]
Current State: 38:[52, 9, 51, 56], Operations: [] Exploring Operation: 52-9=43, Resulting Numbers: [51, 56, 43] Generated Node #2: [51, 56, 43] from Operation: 52-9=43 Current State: 38:[51, 56, 43], Operations: ['52-9=43'] Exploring Operation: 56-51=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 56-51=5 Current State: 38:[43, 5], Operations: ['52-9=43', '56-51=5'] Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 9, 83, 23, 30 ]
18
[ "83-23=60", "9*60=540", "540/30=18" ]
Current State: 18:[9, 83, 23, 30], Operations: [] Exploring Operation: 83-23=60, Resulting Numbers: [9, 30, 60] Generated Node #2: [9, 30, 60] from Operation: 83-23=60 Current State: 18:[9, 30, 60], Operations: ['83-23=60'] Exploring Operation: 9*60=540, Resulting Numbers: [30, 540] Generated Node #3: [30, 540] from Operation: 9*60=540 Current State: 18:[30, 540], Operations: ['83-23=60', '9*60=540'] Exploring Operation: 540/30=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 38, 76, 35, 85 ]
60
[ "76/38=2", "35+85=120", "120/2=60" ]
Current State: 60:[38, 76, 35, 85], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [35, 85, 2] Generated Node #2: [35, 85, 2] from Operation: 76/38=2 Current State: 60:[35, 85, 2], Operations: ['76/38=2'] Exploring Operation: 35+85=120, Resulting Numbers: [2, 120] Generated Node #3: [2, 120] from Operation: 35+85=120 Current State: 60:[2, 120], Operations: ['76/38=2', '35+85=120'] Exploring Operation: 120/2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 19, 32, 65, 16 ]
62
[ "32-19=13", "65-16=49", "13+49=62" ]
Current State: 62:[19, 32, 65, 16], Operations: [] Exploring Operation: 32-19=13, Resulting Numbers: [65, 16, 13] Generated Node #2: [65, 16, 13] from Operation: 32-19=13 Current State: 62:[65, 16, 13], Operations: ['32-19=13'] Exploring Operation: 65-16=49, Resulting Numbers: [13, 49] Generated Node #3: [13, 49] from Operation: 65-16=49 Current State: 62:[13, 49], Operations: ['32-19=13', '65-16=49'] Exploring Operation: 13+49=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 58, 44, 22, 5 ]
34
[ "58*22=1276", "1276/44=29", "5+29=34" ]
Current State: 34:[58, 44, 22, 5], Operations: [] Exploring Operation: 58*22=1276, Resulting Numbers: [44, 5, 1276] Generated Node #2: [44, 5, 1276] from Operation: 58*22=1276 Current State: 34:[44, 5, 1276], Operations: ['58*22=1276'] Exploring Operation: 1276/44=29, Resulting Numbers: [5, 29] Generated Node #3: [5, 29] from Operation: 1276/44=29 Current State: 34:[5, 29], Operations: ['58*22=1276', '1276/44=29'] Exploring Operation: 5+29=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 83, 58, 25, 70 ]
46
[ "83+58=141", "25+70=95", "141-95=46" ]
Current State: 46:[83, 58, 25, 70], Operations: [] Exploring Operation: 83+58=141, Resulting Numbers: [25, 70, 141] Generated Node #2: [25, 70, 141] from Operation: 83+58=141 Current State: 46:[25, 70, 141], Operations: ['83+58=141'] Exploring Operation: 25+70=95, Resulting Numbers: [141, 95] Generated Node #3: [141, 95] from Operation: 25+70=95 Current State: 46:[141, 95], Operations: ['83+58=141', '25+70=95'] Exploring Operation: 141-95=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 83, 38, 34, 38 ]
83
[ "38-38=0", "34*0=0", "83+0=83" ]
Current State: 83:[83, 38, 34, 38], Operations: [] Exploring Operation: 38-38=0, Resulting Numbers: [83, 34, 0] Generated Node #2: [83, 34, 0] from Operation: 38-38=0 Current State: 83:[83, 34, 0], Operations: ['38-38=0'] Exploring Operation: 34*0=0, Resulting Numbers: [83, 0] Generated Node #3: [83, 0] from Operation: 34*0=0 Current State: 83:[83, 0], Operations: ['38-38=0', '34*0=0'] Exploring Operation: 83+0=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 98, 56, 9, 42 ]
77
[ "98*9=882", "882/42=21", "56+21=77" ]
Current State: 77:[98, 56, 9, 42], Operations: [] Exploring Operation: 98*9=882, Resulting Numbers: [56, 42, 882] Generated Node #2: [56, 42, 882] from Operation: 98*9=882 Current State: 77:[56, 42, 882], Operations: ['98*9=882'] Exploring Operation: 882/42=21, Resulting Numbers: [56, 21] Generated Node #3: [56, 21] from Operation: 882/42=21 Current State: 77:[56, 21], Operations: ['98*9=882', '882/42=21'] Exploring Operation: 56+21=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 12, 30, 53, 1 ]
34
[ "30-12=18", "53-1=52", "52-18=34" ]
Current State: 34:[12, 30, 53, 1], Operations: [] Exploring Operation: 30-12=18, Resulting Numbers: [53, 1, 18] Generated Node #2: [53, 1, 18] from Operation: 30-12=18 Current State: 34:[53, 1, 18], Operations: ['30-12=18'] Exploring Operation: 53-1=52, Resulting Numbers: [18, 52] Generated Node #3: [18, 52] from Operation: 53-1=52 Current State: 34:[18, 52], Operations: ['30-12=18', '53-1=52'] Exploring Operation: 52-18=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 24, 22, 40, 17 ]
46
[ "24-22=2", "40-17=23", "2*23=46" ]
Current State: 46:[24, 22, 40, 17], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [40, 17, 2] Generated Node #2: [40, 17, 2] from Operation: 24-22=2 Current State: 46:[40, 17, 2], Operations: ['24-22=2'] Exploring Operation: 40-17=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 40-17=23 Current State: 46:[2, 23], Operations: ['24-22=2', '40-17=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 91, 35, 29, 19 ]
66
[ "91-35=56", "29-19=10", "56+10=66" ]
Current State: 66:[91, 35, 29, 19], Operations: [] Exploring Operation: 91-35=56, Resulting Numbers: [29, 19, 56] Generated Node #2: [29, 19, 56] from Operation: 91-35=56 Current State: 66:[29, 19, 56], Operations: ['91-35=56'] Exploring Operation: 29-19=10, Resulting Numbers: [56, 10] Generated Node #3: [56, 10] from Operation: 29-19=10 Current State: 66:[56, 10], Operations: ['91-35=56', '29-19=10'] Exploring Operation: 56+10=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 69, 71, 41, 39 ]
37
[ "71-69=2", "39*2=78", "78-41=37" ]
Current State: 37:[69, 71, 41, 39], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [41, 39, 2] Generated Node #2: [41, 39, 2] from Operation: 71-69=2 Current State: 37:[41, 39, 2], Operations: ['71-69=2'] Exploring Operation: 39*2=78, Resulting Numbers: [41, 78] Generated Node #3: [41, 78] from Operation: 39*2=78 Current State: 37:[41, 78], Operations: ['71-69=2', '39*2=78'] Exploring Operation: 78-41=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 40, 74, 58, 78 ]
37
[ "78-58=20", "40/20=2", "74/2=37" ]
Current State: 37:[40, 74, 58, 78], Operations: [] Exploring Operation: 78-58=20, Resulting Numbers: [40, 74, 20] Generated Node #2: [40, 74, 20] from Operation: 78-58=20 Current State: 37:[40, 74, 20], Operations: ['78-58=20'] Exploring Operation: 40/20=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 40/20=2 Current State: 37:[74, 2], Operations: ['78-58=20', '40/20=2'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 44, 91, 41, 93 ]
77
[ "44*91=4004", "93-41=52", "4004/52=77" ]
Current State: 77:[44, 91, 41, 93], Operations: [] Exploring Operation: 44*91=4004, Resulting Numbers: [41, 93, 4004] Generated Node #2: [41, 93, 4004] from Operation: 44*91=4004 Current State: 77:[41, 93, 4004], Operations: ['44*91=4004'] Exploring Operation: 93-41=52, Resulting Numbers: [4004, 52] Generated Node #3: [4004, 52] from Operation: 93-41=52 Current State: 77:[4004, 52], Operations: ['44*91=4004', '93-41=52'] Exploring Operation: 4004/52=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 78, 37, 47, 72 ]
12
[ "78-37=41", "47-41=6", "72/6=12" ]
Current State: 12:[78, 37, 47, 72], Operations: [] Exploring Operation: 78-37=41, Resulting Numbers: [47, 72, 41] Generated Node #2: [47, 72, 41] from Operation: 78-37=41 Current State: 12:[47, 72, 41], Operations: ['78-37=41'] Exploring Operation: 47-41=6, Resulting Numbers: [72, 6] Generated Node #3: [72, 6] from Operation: 47-41=6 Current State: 12:[72, 6], Operations: ['78-37=41', '47-41=6'] Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 48, 29, 90, 51 ]
54
[ "48*90=4320", "29+51=80", "4320/80=54" ]
Current State: 54:[48, 29, 90, 51], Operations: [] Exploring Operation: 48*90=4320, Resulting Numbers: [29, 51, 4320] Generated Node #2: [29, 51, 4320] from Operation: 48*90=4320 Current State: 54:[29, 51, 4320], Operations: ['48*90=4320'] Exploring Operation: 29+51=80, Resulting Numbers: [4320, 80] Generated Node #3: [4320, 80] from Operation: 29+51=80 Current State: 54:[4320, 80], Operations: ['48*90=4320', '29+51=80'] Exploring Operation: 4320/80=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 87, 8, 44, 4 ]
86
[ "87-44=43", "8/4=2", "43*2=86" ]
Current State: 86:[87, 8, 44, 4], Operations: [] Exploring Operation: 87-44=43, Resulting Numbers: [8, 4, 43] Generated Node #2: [8, 4, 43] from Operation: 87-44=43 Current State: 86:[8, 4, 43], Operations: ['87-44=43'] Exploring Operation: 8/4=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 8/4=2 Current State: 86:[43, 2], Operations: ['87-44=43', '8/4=2'] Exploring Operation: 43*2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 87, 97, 2, 74 ]
94
[ "97-87=10", "2*10=20", "74+20=94" ]
Current State: 94:[87, 97, 2, 74], Operations: [] Exploring Operation: 97-87=10, Resulting Numbers: [2, 74, 10] Generated Node #2: [2, 74, 10] from Operation: 97-87=10 Current State: 94:[2, 74, 10], Operations: ['97-87=10'] Exploring Operation: 2*10=20, Resulting Numbers: [74, 20] Generated Node #3: [74, 20] from Operation: 2*10=20 Current State: 94:[74, 20], Operations: ['97-87=10', '2*10=20'] Exploring Operation: 74+20=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 60, 16, 31, 54 ]
50
[ "31-16=15", "60/15=4", "54-4=50" ]
Current State: 50:[60, 16, 31, 54], Operations: [] Exploring Operation: 31-16=15, Resulting Numbers: [60, 54, 15] Generated Node #2: [60, 54, 15] from Operation: 31-16=15 Current State: 50:[60, 54, 15], Operations: ['31-16=15'] Exploring Operation: 60/15=4, Resulting Numbers: [54, 4] Generated Node #3: [54, 4] from Operation: 60/15=4 Current State: 50:[54, 4], Operations: ['31-16=15', '60/15=4'] Exploring Operation: 54-4=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 94, 95, 65, 23 ]
87
[ "95-94=1", "65+23=88", "88-1=87" ]
Current State: 87:[94, 95, 65, 23], Operations: [] Exploring Operation: 95-94=1, Resulting Numbers: [65, 23, 1] Generated Node #2: [65, 23, 1] from Operation: 95-94=1 Current State: 87:[65, 23, 1], Operations: ['95-94=1'] Exploring Operation: 65+23=88, Resulting Numbers: [1, 88] Generated Node #3: [1, 88] from Operation: 65+23=88 Current State: 87:[1, 88], Operations: ['95-94=1', '65+23=88'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 58, 54, 37, 74 ]
83
[ "58*37=2146", "2146/74=29", "54+29=83" ]
Current State: 83:[58, 54, 37, 74], Operations: [] Exploring Operation: 58*37=2146, Resulting Numbers: [54, 74, 2146] Generated Node #2: [54, 74, 2146] from Operation: 58*37=2146 Current State: 83:[54, 74, 2146], Operations: ['58*37=2146'] Exploring Operation: 2146/74=29, Resulting Numbers: [54, 29] Generated Node #3: [54, 29] from Operation: 2146/74=29 Current State: 83:[54, 29], Operations: ['58*37=2146', '2146/74=29'] Exploring Operation: 54+29=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 23, 35, 23, 6 ]
25
[ "35-23=12", "12/6=2", "23+2=25" ]
Current State: 25:[23, 35, 23, 6], Operations: [] Exploring Operation: 35-23=12, Resulting Numbers: [6, 12] Generated Node #2: [6, 12] from Operation: 35-23=12 Current State: 25:[6, 12], Operations: ['35-23=12'] Exploring Operation: 12/6=2, Resulting Numbers: [2] 2,25 equal: Goal Reached Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 83, 72, 69, 25 ]
83
[ "83-72=11", "69+25=94", "94-11=83" ]
Current State: 83:[83, 72, 69, 25], Operations: [] Exploring Operation: 83-72=11, Resulting Numbers: [69, 25, 11] Generated Node #2: [69, 25, 11] from Operation: 83-72=11 Current State: 83:[69, 25, 11], Operations: ['83-72=11'] Exploring Operation: 69+25=94, Resulting Numbers: [11, 94] Generated Node #3: [11, 94] from Operation: 69+25=94 Current State: 83:[11, 94], Operations: ['83-72=11', '69+25=94'] Exploring Operation: 94-11=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 90, 76, 13, 76 ]
76
[ "90-76=14", "14-13=1", "76*1=76" ]
Current State: 76:[90, 76, 13, 76], Operations: [] Exploring Operation: 90-76=14, Resulting Numbers: [13, 14] Generated Node #2: [13, 14] from Operation: 90-76=14 Current State: 76:[13, 14], Operations: ['90-76=14'] Exploring Operation: 14-13=1, Resulting Numbers: [1] 1,76 equal: Goal Reached Exploring Operation: 76*1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 78, 66, 87, 3 ]
60
[ "78+66=144", "87-3=84", "144-84=60" ]
Current State: 60:[78, 66, 87, 3], Operations: [] Exploring Operation: 78+66=144, Resulting Numbers: [87, 3, 144] Generated Node #2: [87, 3, 144] from Operation: 78+66=144 Current State: 60:[87, 3, 144], Operations: ['78+66=144'] Exploring Operation: 87-3=84, Resulting Numbers: [144, 84] Generated Node #3: [144, 84] from Operation: 87-3=84 Current State: 60:[144, 84], Operations: ['78+66=144', '87-3=84'] Exploring Operation: 144-84=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 67, 3, 15, 50 ]
35
[ "67+3=70", "50-15=35", "70-35=35" ]
Current State: 35:[67, 3, 15, 50], Operations: [] Exploring Operation: 67+3=70, Resulting Numbers: [15, 50, 70] Generated Node #2: [15, 50, 70] from Operation: 67+3=70 Current State: 35:[15, 50, 70], Operations: ['67+3=70'] Exploring Operation: 50-15=35, Resulting Numbers: [70, 35] Generated Node #3: [70, 35] from Operation: 50-15=35 Current State: 35:[70, 35], Operations: ['67+3=70', '50-15=35'] Exploring Operation: 70-35=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 8, 14, 96, 91 ]
54
[ "96-91=5", "8*5=40", "14+40=54" ]
Current State: 54:[8, 14, 96, 91], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [8, 14, 5] Generated Node #2: [8, 14, 5] from Operation: 96-91=5 Current State: 54:[8, 14, 5], Operations: ['96-91=5'] Exploring Operation: 8*5=40, Resulting Numbers: [14, 40] Generated Node #3: [14, 40] from Operation: 8*5=40 Current State: 54:[14, 40], Operations: ['96-91=5', '8*5=40'] Exploring Operation: 14+40=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 27, 57, 23, 23 ]
83
[ "27+57=84", "23/23=1", "84-1=83" ]
Current State: 83:[27, 57, 23, 23], Operations: [] Exploring Operation: 27+57=84, Resulting Numbers: [23, 23, 84] Generated Node #2: [23, 23, 84] from Operation: 27+57=84 Current State: 83:[23, 23, 84], Operations: ['27+57=84'] Exploring Operation: 23/23=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 23/23=1 Current State: 83:[84, 1], Operations: ['27+57=84', '23/23=1'] Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4