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
[ 10, 78, 95, 75 ]
88
[ "78-10=68", "95-75=20", "68+20=88" ]
Current State: 88:[10, 78, 95, 75], Operations: [] Exploring Operation: 78-10=68, Resulting Numbers: [95, 75, 68] Generated Node #2: [95, 75, 68] from Operation: 78-10=68 Current State: 88:[95, 75, 68], Operations: ['78-10=68'] Exploring Operation: 95-75=20, Resulting Numbers: [68, 20] Generated Node #3: [68, 20] from Operation: 95-75=20 Current State: 88:[68, 20], Operations: ['78-10=68', '95-75=20'] Exploring Operation: 68+20=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 28, 8, 14, 93 ]
83
[ "28/14=2", "93-8=85", "85-2=83" ]
Current State: 83:[28, 8, 14, 93], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [8, 93, 2] Generated Node #2: [8, 93, 2] from Operation: 28/14=2 Current State: 83:[8, 93, 2], Operations: ['28/14=2'] Exploring Operation: 93-8=85, Resulting Numbers: [2, 85] Generated Node #3: [2, 85] from Operation: 93-8=85 Current State: 83:[2, 85], Operations: ['28/14=2', '93-8=85'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 96, 84, 4, 95 ]
98
[ "96-84=12", "12/4=3", "95+3=98" ]
Current State: 98:[96, 84, 4, 95], Operations: [] Exploring Operation: 96-84=12, Resulting Numbers: [4, 95, 12] Generated Node #2: [4, 95, 12] from Operation: 96-84=12 Current State: 98:[4, 95, 12], Operations: ['96-84=12'] Exploring Operation: 12/4=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 12/4=3 Current State: 98:[95, 3], Operations: ['96-84=12', '12/4=3'] Exploring Operation: 95+3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 78, 55, 15, 60 ]
81
[ "60-55=5", "15/5=3", "78+3=81" ]
Current State: 81:[78, 55, 15, 60], Operations: [] Exploring Operation: 60-55=5, Resulting Numbers: [78, 15, 5] Generated Node #2: [78, 15, 5] from Operation: 60-55=5 Current State: 81:[78, 15, 5], Operations: ['60-55=5'] Exploring Operation: 15/5=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 15/5=3 Current State: 81:[78, 3], Operations: ['60-55=5', '15/5=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 40, 52, 79, 5 ]
35
[ "40/5=8", "79-52=27", "8+27=35" ]
Current State: 35:[40, 52, 79, 5], Operations: [] Exploring Operation: 40/5=8, Resulting Numbers: [52, 79, 8] Generated Node #2: [52, 79, 8] from Operation: 40/5=8 Current State: 35:[52, 79, 8], Operations: ['40/5=8'] Exploring Operation: 79-52=27, Resulting Numbers: [8, 27] Generated Node #3: [8, 27] from Operation: 79-52=27 Current State: 35:[8, 27], Operations: ['40/5=8', '79-52=27'] Exploring Operation: 8+27=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 30, 37, 4, 34 ]
97
[ "30+37=67", "34-4=30", "67+30=97" ]
Current State: 97:[30, 37, 4, 34], Operations: [] Exploring Operation: 30+37=67, Resulting Numbers: [4, 34, 67] Generated Node #2: [4, 34, 67] from Operation: 30+37=67 Current State: 97:[4, 34, 67], Operations: ['30+37=67'] Exploring Operation: 34-4=30, Resulting Numbers: [67, 30] Generated Node #3: [67, 30] from Operation: 34-4=30 Current State: 97:[67, 30], Operations: ['30+37=67', '34-4=30'] Exploring Operation: 67+30=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 12, 14, 98, 8 ]
76
[ "12*98=1176", "1176/14=84", "84-8=76" ]
Current State: 76:[12, 14, 98, 8], Operations: [] Exploring Operation: 12*98=1176, Resulting Numbers: [14, 8, 1176] Generated Node #2: [14, 8, 1176] from Operation: 12*98=1176 Current State: 76:[14, 8, 1176], Operations: ['12*98=1176'] Exploring Operation: 1176/14=84, Resulting Numbers: [8, 84] Generated Node #3: [8, 84] from Operation: 1176/14=84 Current State: 76:[8, 84], Operations: ['12*98=1176', '1176/14=84'] Exploring Operation: 84-8=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 51, 8, 51, 13 ]
91
[ "51/51=1", "8-1=7", "13*7=91" ]
Current State: 91:[51, 8, 51, 13], Operations: [] Exploring Operation: 51/51=1, Resulting Numbers: [8, 13, 1] Generated Node #2: [8, 13, 1] from Operation: 51/51=1 Current State: 91:[8, 13, 1], Operations: ['51/51=1'] Exploring Operation: 8-1=7, Resulting Numbers: [13, 7] Generated Node #3: [13, 7] from Operation: 8-1=7 Current State: 91:[13, 7], Operations: ['51/51=1', '8-1=7'] Exploring Operation: 13*7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 69, 78, 26, 93 ]
76
[ "78-69=9", "93-26=67", "9+67=76" ]
Current State: 76:[69, 78, 26, 93], Operations: [] Exploring Operation: 78-69=9, Resulting Numbers: [26, 93, 9] Generated Node #2: [26, 93, 9] from Operation: 78-69=9 Current State: 76:[26, 93, 9], Operations: ['78-69=9'] Exploring Operation: 93-26=67, Resulting Numbers: [9, 67] Generated Node #3: [9, 67] from Operation: 93-26=67 Current State: 76:[9, 67], Operations: ['78-69=9', '93-26=67'] Exploring Operation: 9+67=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 45, 3, 34, 78 ]
37
[ "45-34=11", "78/3=26", "11+26=37" ]
Current State: 37:[45, 3, 34, 78], Operations: [] Exploring Operation: 45-34=11, Resulting Numbers: [3, 78, 11] Generated Node #2: [3, 78, 11] from Operation: 45-34=11 Current State: 37:[3, 78, 11], Operations: ['45-34=11'] Exploring Operation: 78/3=26, Resulting Numbers: [11, 26] Generated Node #3: [11, 26] from Operation: 78/3=26 Current State: 37:[11, 26], Operations: ['45-34=11', '78/3=26'] Exploring Operation: 11+26=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 47, 75, 38, 25 ]
91
[ "75-47=28", "38+25=63", "28+63=91" ]
Current State: 91:[47, 75, 38, 25], Operations: [] Exploring Operation: 75-47=28, Resulting Numbers: [38, 25, 28] Generated Node #2: [38, 25, 28] from Operation: 75-47=28 Current State: 91:[38, 25, 28], Operations: ['75-47=28'] Exploring Operation: 38+25=63, Resulting Numbers: [28, 63] Generated Node #3: [28, 63] from Operation: 38+25=63 Current State: 91:[28, 63], Operations: ['75-47=28', '38+25=63'] Exploring Operation: 28+63=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 86, 75, 99, 60 ]
69
[ "86-75=11", "99/11=9", "60+9=69" ]
Current State: 69:[86, 75, 99, 60], Operations: [] Exploring Operation: 86-75=11, Resulting Numbers: [99, 60, 11] Generated Node #2: [99, 60, 11] from Operation: 86-75=11 Current State: 69:[99, 60, 11], Operations: ['86-75=11'] Exploring Operation: 99/11=9, Resulting Numbers: [60, 9] Generated Node #3: [60, 9] from Operation: 99/11=9 Current State: 69:[60, 9], Operations: ['86-75=11', '99/11=9'] Exploring Operation: 60+9=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 13, 33, 53, 61 ]
38
[ "13+33=46", "61-53=8", "46-8=38" ]
Current State: 38:[13, 33, 53, 61], Operations: [] Exploring Operation: 13+33=46, Resulting Numbers: [53, 61, 46] Generated Node #2: [53, 61, 46] from Operation: 13+33=46 Current State: 38:[53, 61, 46], Operations: ['13+33=46'] Exploring Operation: 61-53=8, Resulting Numbers: [46, 8] Generated Node #3: [46, 8] from Operation: 61-53=8 Current State: 38:[46, 8], Operations: ['13+33=46', '61-53=8'] Exploring Operation: 46-8=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 7, 32, 12, 8 ]
43
[ "7+32=39", "12-8=4", "39+4=43" ]
Current State: 43:[7, 32, 12, 8], Operations: [] Exploring Operation: 7+32=39, Resulting Numbers: [12, 8, 39] Generated Node #2: [12, 8, 39] from Operation: 7+32=39 Current State: 43:[12, 8, 39], Operations: ['7+32=39'] Exploring Operation: 12-8=4, Resulting Numbers: [39, 4] Generated Node #3: [39, 4] from Operation: 12-8=4 Current State: 43:[39, 4], Operations: ['7+32=39', '12-8=4'] Exploring Operation: 39+4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 55, 6, 40 ]
70
[ "6-4=2", "55*2=110", "110-40=70" ]
Current State: 70:[4, 55, 6, 40], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [55, 40, 2] Generated Node #2: [55, 40, 2] from Operation: 6-4=2 Current State: 70:[55, 40, 2], Operations: ['6-4=2'] Exploring Operation: 55*2=110, Resulting Numbers: [40, 110] Generated Node #3: [40, 110] from Operation: 55*2=110 Current State: 70:[40, 110], Operations: ['6-4=2', '55*2=110'] Exploring Operation: 110-40=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 41, 39, 46, 77 ]
52
[ "46-39=7", "77/7=11", "41+11=52" ]
Current State: 52:[41, 39, 46, 77], Operations: [] Exploring Operation: 46-39=7, Resulting Numbers: [41, 77, 7] Generated Node #2: [41, 77, 7] from Operation: 46-39=7 Current State: 52:[41, 77, 7], Operations: ['46-39=7'] Exploring Operation: 77/7=11, Resulting Numbers: [41, 11] Generated Node #3: [41, 11] from Operation: 77/7=11 Current State: 52:[41, 11], Operations: ['46-39=7', '77/7=11'] Exploring Operation: 41+11=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 97, 90, 10, 25 ]
95
[ "97-90=7", "10*7=70", "25+70=95" ]
Current State: 95:[97, 90, 10, 25], Operations: [] Exploring Operation: 97-90=7, Resulting Numbers: [10, 25, 7] Generated Node #2: [10, 25, 7] from Operation: 97-90=7 Current State: 95:[10, 25, 7], Operations: ['97-90=7'] Exploring Operation: 10*7=70, Resulting Numbers: [25, 70] Generated Node #3: [25, 70] from Operation: 10*7=70 Current State: 95:[25, 70], Operations: ['97-90=7', '10*7=70'] Exploring Operation: 25+70=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 74, 86, 32, 29 ]
49
[ "86-74=12", "32+29=61", "61-12=49" ]
Current State: 49:[74, 86, 32, 29], Operations: [] Exploring Operation: 86-74=12, Resulting Numbers: [32, 29, 12] Generated Node #2: [32, 29, 12] from Operation: 86-74=12 Current State: 49:[32, 29, 12], Operations: ['86-74=12'] Exploring Operation: 32+29=61, Resulting Numbers: [12, 61] Generated Node #3: [12, 61] from Operation: 32+29=61 Current State: 49:[12, 61], Operations: ['86-74=12', '32+29=61'] Exploring Operation: 61-12=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 66, 5, 83, 54 ]
31
[ "83-66=17", "5*17=85", "85-54=31" ]
Current State: 31:[66, 5, 83, 54], Operations: [] Exploring Operation: 83-66=17, Resulting Numbers: [5, 54, 17] Generated Node #2: [5, 54, 17] from Operation: 83-66=17 Current State: 31:[5, 54, 17], Operations: ['83-66=17'] Exploring Operation: 5*17=85, Resulting Numbers: [54, 85] Generated Node #3: [54, 85] from Operation: 5*17=85 Current State: 31:[54, 85], Operations: ['83-66=17', '5*17=85'] Exploring Operation: 85-54=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 1, 37, 5, 85 ]
43
[ "1*37=37", "85-5=80", "80-37=43" ]
Current State: 43:[1, 37, 5, 85], Operations: [] Exploring Operation: 1*37=37, Resulting Numbers: [5, 85, 37] Generated Node #2: [5, 85, 37] from Operation: 1*37=37 Current State: 43:[5, 85, 37], Operations: ['1*37=37'] Exploring Operation: 85-5=80, Resulting Numbers: [37, 80] Generated Node #3: [37, 80] from Operation: 85-5=80 Current State: 43:[37, 80], Operations: ['1*37=37', '85-5=80'] Exploring Operation: 80-37=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 32, 36, 32, 66 ]
58
[ "36-32=4", "32/4=8", "66-8=58" ]
Current State: 58:[32, 36, 32, 66], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [66, 4] Generated Node #2: [66, 4] from Operation: 36-32=4 Current State: 58:[66, 4], Operations: ['36-32=4'] Exploring Operation: 32/4=8, Resulting Numbers: [66, 8] Generated Node #3: [66, 8] from Operation: 32/4=8 Current State: 58:[66, 8], Operations: ['36-32=4', '32/4=8'] Exploring Operation: 66-8=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 61, 48, 20, 11 ]
22
[ "61-48=13", "20-11=9", "13+9=22" ]
Current State: 22:[61, 48, 20, 11], Operations: [] Exploring Operation: 61-48=13, Resulting Numbers: [20, 11, 13] Generated Node #2: [20, 11, 13] from Operation: 61-48=13 Current State: 22:[20, 11, 13], Operations: ['61-48=13'] Exploring Operation: 20-11=9, Resulting Numbers: [13, 9] Generated Node #3: [13, 9] from Operation: 20-11=9 Current State: 22:[13, 9], Operations: ['61-48=13', '20-11=9'] Exploring Operation: 13+9=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 36, 3, 79, 13 ]
59
[ "36-3=33", "79+13=92", "92-33=59" ]
Current State: 59:[36, 3, 79, 13], Operations: [] Exploring Operation: 36-3=33, Resulting Numbers: [79, 13, 33] Generated Node #2: [79, 13, 33] from Operation: 36-3=33 Current State: 59:[79, 13, 33], Operations: ['36-3=33'] Exploring Operation: 79+13=92, Resulting Numbers: [33, 92] Generated Node #3: [33, 92] from Operation: 79+13=92 Current State: 59:[33, 92], Operations: ['36-3=33', '79+13=92'] Exploring Operation: 92-33=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 82, 48, 24, 2 ]
86
[ "82+2=84", "48/24=2", "84+2=86" ]
Current State: 86:[82, 48, 24, 2], Operations: [] Exploring Operation: 82+2=84, Resulting Numbers: [48, 24, 84] Generated Node #2: [48, 24, 84] from Operation: 82+2=84 Current State: 86:[48, 24, 84], Operations: ['82+2=84'] Exploring Operation: 48/24=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 48/24=2 Current State: 86:[84, 2], Operations: ['82+2=84', '48/24=2'] Exploring Operation: 84+2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 97, 41, 21, 1 ]
99
[ "41+1=42", "42/21=2", "97+2=99" ]
Current State: 99:[97, 41, 21, 1], Operations: [] Exploring Operation: 41+1=42, Resulting Numbers: [97, 21, 42] Generated Node #2: [97, 21, 42] from Operation: 41+1=42 Current State: 99:[97, 21, 42], Operations: ['41+1=42'] Exploring Operation: 42/21=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 42/21=2 Current State: 99:[97, 2], Operations: ['41+1=42', '42/21=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 12, 7, 1, 18 ]
48
[ "18-12=6", "7+1=8", "6*8=48" ]
Current State: 48:[12, 7, 1, 18], Operations: [] Exploring Operation: 18-12=6, Resulting Numbers: [7, 1, 6] Generated Node #2: [7, 1, 6] from Operation: 18-12=6 Current State: 48:[7, 1, 6], Operations: ['18-12=6'] Exploring Operation: 7+1=8, Resulting Numbers: [6, 8] Generated Node #3: [6, 8] from Operation: 7+1=8 Current State: 48:[6, 8], Operations: ['18-12=6', '7+1=8'] Exploring Operation: 6*8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 20, 15, 54, 17 ]
49
[ "20-17=3", "15/3=5", "54-5=49" ]
Current State: 49:[20, 15, 54, 17], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [15, 54, 3] Generated Node #2: [15, 54, 3] from Operation: 20-17=3 Current State: 49:[15, 54, 3], Operations: ['20-17=3'] Exploring Operation: 15/3=5, Resulting Numbers: [54, 5] Generated Node #3: [54, 5] from Operation: 15/3=5 Current State: 49:[54, 5], Operations: ['20-17=3', '15/3=5'] Exploring Operation: 54-5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 34, 90, 4, 18 ]
70
[ "90-34=56", "18-4=14", "56+14=70" ]
Current State: 70:[34, 90, 4, 18], Operations: [] Exploring Operation: 90-34=56, Resulting Numbers: [4, 18, 56] Generated Node #2: [4, 18, 56] from Operation: 90-34=56 Current State: 70:[4, 18, 56], Operations: ['90-34=56'] Exploring Operation: 18-4=14, Resulting Numbers: [56, 14] Generated Node #3: [56, 14] from Operation: 18-4=14 Current State: 70:[56, 14], Operations: ['90-34=56', '18-4=14'] Exploring Operation: 56+14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 15, 46, 21, 49 ]
66
[ "49-46=3", "15*3=45", "21+45=66" ]
Current State: 66:[15, 46, 21, 49], Operations: [] Exploring Operation: 49-46=3, Resulting Numbers: [15, 21, 3] Generated Node #2: [15, 21, 3] from Operation: 49-46=3 Current State: 66:[15, 21, 3], Operations: ['49-46=3'] Exploring Operation: 15*3=45, Resulting Numbers: [21, 45] Generated Node #3: [21, 45] from Operation: 15*3=45 Current State: 66:[21, 45], Operations: ['49-46=3', '15*3=45'] Exploring Operation: 21+45=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 24, 54, 56, 29 ]
97
[ "54*56=3024", "3024/24=126", "126-29=97" ]
Current State: 97:[24, 54, 56, 29], Operations: [] Exploring Operation: 54*56=3024, Resulting Numbers: [24, 29, 3024] Generated Node #2: [24, 29, 3024] from Operation: 54*56=3024 Current State: 97:[24, 29, 3024], Operations: ['54*56=3024'] Exploring Operation: 3024/24=126, Resulting Numbers: [29, 126] Generated Node #3: [29, 126] from Operation: 3024/24=126 Current State: 97:[29, 126], Operations: ['54*56=3024', '3024/24=126'] Exploring Operation: 126-29=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 32, 59, 30, 37 ]
11
[ "32-30=2", "59-37=22", "22/2=11" ]
Current State: 11:[32, 59, 30, 37], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [59, 37, 2] Generated Node #2: [59, 37, 2] from Operation: 32-30=2 Current State: 11:[59, 37, 2], Operations: ['32-30=2'] Exploring Operation: 59-37=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 59-37=22 Current State: 11:[2, 22], Operations: ['32-30=2', '59-37=22'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 6, 48, 20, 78 ]
50
[ "48/6=8", "78-20=58", "58-8=50" ]
Current State: 50:[6, 48, 20, 78], Operations: [] Exploring Operation: 48/6=8, Resulting Numbers: [20, 78, 8] Generated Node #2: [20, 78, 8] from Operation: 48/6=8 Current State: 50:[20, 78, 8], Operations: ['48/6=8'] Exploring Operation: 78-20=58, Resulting Numbers: [8, 58] Generated Node #3: [8, 58] from Operation: 78-20=58 Current State: 50:[8, 58], Operations: ['48/6=8', '78-20=58'] Exploring Operation: 58-8=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 35, 61, 79, 52 ]
77
[ "61-35=26", "52/26=2", "79-2=77" ]
Current State: 77:[35, 61, 79, 52], Operations: [] Exploring Operation: 61-35=26, Resulting Numbers: [79, 52, 26] Generated Node #2: [79, 52, 26] from Operation: 61-35=26 Current State: 77:[79, 52, 26], Operations: ['61-35=26'] Exploring Operation: 52/26=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 52/26=2 Current State: 77:[79, 2], Operations: ['61-35=26', '52/26=2'] Exploring Operation: 79-2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 38, 66, 88, 63 ]
53
[ "66-38=28", "88-63=25", "28+25=53" ]
Current State: 53:[38, 66, 88, 63], Operations: [] Exploring Operation: 66-38=28, Resulting Numbers: [88, 63, 28] Generated Node #2: [88, 63, 28] from Operation: 66-38=28 Current State: 53:[88, 63, 28], Operations: ['66-38=28'] Exploring Operation: 88-63=25, Resulting Numbers: [28, 25] Generated Node #3: [28, 25] from Operation: 88-63=25 Current State: 53:[28, 25], Operations: ['66-38=28', '88-63=25'] Exploring Operation: 28+25=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 10, 10, 32, 63 ]
51
[ "10+10=20", "63-32=31", "20+31=51" ]
Current State: 51:[10, 10, 32, 63], Operations: [] Exploring Operation: 10+10=20, Resulting Numbers: [32, 63, 20] Generated Node #2: [32, 63, 20] from Operation: 10+10=20 Current State: 51:[32, 63, 20], Operations: ['10+10=20'] Exploring Operation: 63-32=31, Resulting Numbers: [20, 31] Generated Node #3: [20, 31] from Operation: 63-32=31 Current State: 51:[20, 31], Operations: ['10+10=20', '63-32=31'] Exploring Operation: 20+31=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 4, 3, 77, 32 ]
72
[ "32/4=8", "3+77=80", "80-8=72" ]
Current State: 72:[4, 3, 77, 32], Operations: [] Exploring Operation: 32/4=8, Resulting Numbers: [3, 77, 8] Generated Node #2: [3, 77, 8] from Operation: 32/4=8 Current State: 72:[3, 77, 8], Operations: ['32/4=8'] Exploring Operation: 3+77=80, Resulting Numbers: [8, 80] Generated Node #3: [8, 80] from Operation: 3+77=80 Current State: 72:[8, 80], Operations: ['32/4=8', '3+77=80'] Exploring Operation: 80-8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 23, 86, 21, 6 ]
90
[ "86-23=63", "21+6=27", "63+27=90" ]
Current State: 90:[23, 86, 21, 6], Operations: [] Exploring Operation: 86-23=63, Resulting Numbers: [21, 6, 63] Generated Node #2: [21, 6, 63] from Operation: 86-23=63 Current State: 90:[21, 6, 63], Operations: ['86-23=63'] Exploring Operation: 21+6=27, Resulting Numbers: [63, 27] Generated Node #3: [63, 27] from Operation: 21+6=27 Current State: 90:[63, 27], Operations: ['86-23=63', '21+6=27'] Exploring Operation: 63+27=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 14, 66, 20, 65 ]
16
[ "66-14=52", "20*52=1040", "1040/65=16" ]
Current State: 16:[14, 66, 20, 65], Operations: [] Exploring Operation: 66-14=52, Resulting Numbers: [20, 65, 52] Generated Node #2: [20, 65, 52] from Operation: 66-14=52 Current State: 16:[20, 65, 52], Operations: ['66-14=52'] Exploring Operation: 20*52=1040, Resulting Numbers: [65, 1040] Generated Node #3: [65, 1040] from Operation: 20*52=1040 Current State: 16:[65, 1040], Operations: ['66-14=52', '20*52=1040'] Exploring Operation: 1040/65=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 11, 64, 98, 75 ]
97
[ "11+64=75", "75/75=1", "98-1=97" ]
Current State: 97:[11, 64, 98, 75], Operations: [] Exploring Operation: 11+64=75, Resulting Numbers: [98, 75, 75] Generated Node #2: [98, 75, 75] from Operation: 11+64=75 Current State: 97:[98, 75, 75], Operations: ['11+64=75'] Exploring Operation: 75/75=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 75/75=1 Current State: 97:[98, 1], Operations: ['11+64=75', '75/75=1'] Exploring Operation: 98-1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 60, 54, 11, 2 ]
55
[ "60*2=120", "54+11=65", "120-65=55" ]
Current State: 55:[60, 54, 11, 2], Operations: [] Exploring Operation: 60*2=120, Resulting Numbers: [54, 11, 120] Generated Node #2: [54, 11, 120] from Operation: 60*2=120 Current State: 55:[54, 11, 120], Operations: ['60*2=120'] Exploring Operation: 54+11=65, Resulting Numbers: [120, 65] Generated Node #3: [120, 65] from Operation: 54+11=65 Current State: 55:[120, 65], Operations: ['60*2=120', '54+11=65'] Exploring Operation: 120-65=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 4, 47, 27, 24 ]
16
[ "47-27=20", "24-20=4", "4*4=16" ]
Current State: 16:[4, 47, 27, 24], Operations: [] Exploring Operation: 47-27=20, Resulting Numbers: [4, 24, 20] Generated Node #2: [4, 24, 20] from Operation: 47-27=20 Current State: 16:[4, 24, 20], Operations: ['47-27=20'] Exploring Operation: 24-20=4, Resulting Numbers: [4, 4] Generated Node #3: [4, 4] from Operation: 24-20=4 Current State: 16:[4, 4], Operations: ['47-27=20', '24-20=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 98, 91, 70, 50 ]
33
[ "91*50=4550", "4550/70=65", "98-65=33" ]
Current State: 33:[98, 91, 70, 50], Operations: [] Exploring Operation: 91*50=4550, Resulting Numbers: [98, 70, 4550] Generated Node #2: [98, 70, 4550] from Operation: 91*50=4550 Current State: 33:[98, 70, 4550], Operations: ['91*50=4550'] Exploring Operation: 4550/70=65, Resulting Numbers: [98, 65] Generated Node #3: [98, 65] from Operation: 4550/70=65 Current State: 33:[98, 65], Operations: ['91*50=4550', '4550/70=65'] Exploring Operation: 98-65=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 88, 5, 32, 38 ]
62
[ "88+32=120", "120/5=24", "38+24=62" ]
Current State: 62:[88, 5, 32, 38], Operations: [] Exploring Operation: 88+32=120, Resulting Numbers: [5, 38, 120] Generated Node #2: [5, 38, 120] from Operation: 88+32=120 Current State: 62:[5, 38, 120], Operations: ['88+32=120'] Exploring Operation: 120/5=24, Resulting Numbers: [38, 24] Generated Node #3: [38, 24] from Operation: 120/5=24 Current State: 62:[38, 24], Operations: ['88+32=120', '120/5=24'] Exploring Operation: 38+24=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 45, 84, 44, 27 ]
22
[ "84-45=39", "44-27=17", "39-17=22" ]
Current State: 22:[45, 84, 44, 27], Operations: [] Exploring Operation: 84-45=39, Resulting Numbers: [44, 27, 39] Generated Node #2: [44, 27, 39] from Operation: 84-45=39 Current State: 22:[44, 27, 39], Operations: ['84-45=39'] Exploring Operation: 44-27=17, Resulting Numbers: [39, 17] Generated Node #3: [39, 17] from Operation: 44-27=17 Current State: 22:[39, 17], Operations: ['84-45=39', '44-27=17'] Exploring Operation: 39-17=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 79, 52, 85, 32 ]
26
[ "79-52=27", "85-32=53", "53-27=26" ]
Current State: 26:[79, 52, 85, 32], Operations: [] Exploring Operation: 79-52=27, Resulting Numbers: [85, 32, 27] Generated Node #2: [85, 32, 27] from Operation: 79-52=27 Current State: 26:[85, 32, 27], Operations: ['79-52=27'] Exploring Operation: 85-32=53, Resulting Numbers: [27, 53] Generated Node #3: [27, 53] from Operation: 85-32=53 Current State: 26:[27, 53], Operations: ['79-52=27', '85-32=53'] Exploring Operation: 53-27=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 34, 38, 3, 59 ]
29
[ "59-38=21", "3*21=63", "63-34=29" ]
Current State: 29:[34, 38, 3, 59], Operations: [] Exploring Operation: 59-38=21, Resulting Numbers: [34, 3, 21] Generated Node #2: [34, 3, 21] from Operation: 59-38=21 Current State: 29:[34, 3, 21], Operations: ['59-38=21'] Exploring Operation: 3*21=63, Resulting Numbers: [34, 63] Generated Node #3: [34, 63] from Operation: 3*21=63 Current State: 29:[34, 63], Operations: ['59-38=21', '3*21=63'] Exploring Operation: 63-34=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 30, 34, 12, 67 ]
15
[ "30+34=64", "12+67=79", "79-64=15" ]
Current State: 15:[30, 34, 12, 67], Operations: [] Exploring Operation: 30+34=64, Resulting Numbers: [12, 67, 64] Generated Node #2: [12, 67, 64] from Operation: 30+34=64 Current State: 15:[12, 67, 64], Operations: ['30+34=64'] Exploring Operation: 12+67=79, Resulting Numbers: [64, 79] Generated Node #3: [64, 79] from Operation: 12+67=79 Current State: 15:[64, 79], Operations: ['30+34=64', '12+67=79'] Exploring Operation: 79-64=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 62, 71, 80, 30 ]
83
[ "62+71=133", "80-30=50", "133-50=83" ]
Current State: 83:[62, 71, 80, 30], Operations: [] Exploring Operation: 62+71=133, Resulting Numbers: [80, 30, 133] Generated Node #2: [80, 30, 133] from Operation: 62+71=133 Current State: 83:[80, 30, 133], Operations: ['62+71=133'] Exploring Operation: 80-30=50, Resulting Numbers: [133, 50] Generated Node #3: [133, 50] from Operation: 80-30=50 Current State: 83:[133, 50], Operations: ['62+71=133', '80-30=50'] Exploring Operation: 133-50=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 70, 28, 92, 97 ]
93
[ "70+28=98", "97-92=5", "98-5=93" ]
Current State: 93:[70, 28, 92, 97], Operations: [] Exploring Operation: 70+28=98, Resulting Numbers: [92, 97, 98] Generated Node #2: [92, 97, 98] from Operation: 70+28=98 Current State: 93:[92, 97, 98], Operations: ['70+28=98'] Exploring Operation: 97-92=5, Resulting Numbers: [98, 5] Generated Node #3: [98, 5] from Operation: 97-92=5 Current State: 93:[98, 5], Operations: ['70+28=98', '97-92=5'] Exploring Operation: 98-5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 22, 11, 60, 11 ]
20
[ "22+11=33", "60*11=660", "660/33=20" ]
Current State: 20:[22, 11, 60, 11], Operations: [] Exploring Operation: 22+11=33, Resulting Numbers: [60, 33] Generated Node #2: [60, 33] from Operation: 22+11=33 Current State: 20:[60, 33], Operations: ['22+11=33'] Exploring Operation: 60*11=660, Resulting Numbers: [33, 660] Generated Node #3: [33, 660] from Operation: 60*11=660 Current State: 20:[33, 660], Operations: ['22+11=33', '60*11=660'] Exploring Operation: 660/33=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 72, 59, 6, 51 ]
96
[ "72/6=12", "59-51=8", "12*8=96" ]
Current State: 96:[72, 59, 6, 51], Operations: [] Exploring Operation: 72/6=12, Resulting Numbers: [59, 51, 12] Generated Node #2: [59, 51, 12] from Operation: 72/6=12 Current State: 96:[59, 51, 12], Operations: ['72/6=12'] Exploring Operation: 59-51=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 59-51=8 Current State: 96:[12, 8], Operations: ['72/6=12', '59-51=8'] Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 82, 36, 19, 74 ]
25
[ "82+36=118", "19+74=93", "118-93=25" ]
Current State: 25:[82, 36, 19, 74], Operations: [] Exploring Operation: 82+36=118, Resulting Numbers: [19, 74, 118] Generated Node #2: [19, 74, 118] from Operation: 82+36=118 Current State: 25:[19, 74, 118], Operations: ['82+36=118'] Exploring Operation: 19+74=93, Resulting Numbers: [118, 93] Generated Node #3: [118, 93] from Operation: 19+74=93 Current State: 25:[118, 93], Operations: ['82+36=118', '19+74=93'] Exploring Operation: 118-93=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 27, 56, 72, 69 ]
42
[ "27+69=96", "56*72=4032", "4032/96=42" ]
Current State: 42:[27, 56, 72, 69], Operations: [] Exploring Operation: 27+69=96, Resulting Numbers: [56, 72, 96] Generated Node #2: [56, 72, 96] from Operation: 27+69=96 Current State: 42:[56, 72, 96], Operations: ['27+69=96'] Exploring Operation: 56*72=4032, Resulting Numbers: [96, 4032] Generated Node #3: [96, 4032] from Operation: 56*72=4032 Current State: 42:[96, 4032], Operations: ['27+69=96', '56*72=4032'] Exploring Operation: 4032/96=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 49, 8, 15, 6 ]
32
[ "49-8=41", "15-6=9", "41-9=32" ]
Current State: 32:[49, 8, 15, 6], Operations: [] Exploring Operation: 49-8=41, Resulting Numbers: [15, 6, 41] Generated Node #2: [15, 6, 41] from Operation: 49-8=41 Current State: 32:[15, 6, 41], Operations: ['49-8=41'] Exploring Operation: 15-6=9, Resulting Numbers: [41, 9] Generated Node #3: [41, 9] from Operation: 15-6=9 Current State: 32:[41, 9], Operations: ['49-8=41', '15-6=9'] Exploring Operation: 41-9=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 7, 84, 43, 5 ]
96
[ "43-7=36", "5*36=180", "180-84=96" ]
Current State: 96:[7, 84, 43, 5], Operations: [] Exploring Operation: 43-7=36, Resulting Numbers: [84, 5, 36] Generated Node #2: [84, 5, 36] from Operation: 43-7=36 Current State: 96:[84, 5, 36], Operations: ['43-7=36'] Exploring Operation: 5*36=180, Resulting Numbers: [84, 180] Generated Node #3: [84, 180] from Operation: 5*36=180 Current State: 96:[84, 180], Operations: ['43-7=36', '5*36=180'] Exploring Operation: 180-84=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 31, 27, 86, 7 ]
83
[ "31-27=4", "86-7=79", "4+79=83" ]
Current State: 83:[31, 27, 86, 7], Operations: [] Exploring Operation: 31-27=4, Resulting Numbers: [86, 7, 4] Generated Node #2: [86, 7, 4] from Operation: 31-27=4 Current State: 83:[86, 7, 4], Operations: ['31-27=4'] Exploring Operation: 86-7=79, Resulting Numbers: [4, 79] Generated Node #3: [4, 79] from Operation: 86-7=79 Current State: 83:[4, 79], Operations: ['31-27=4', '86-7=79'] Exploring Operation: 4+79=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 41, 43, 1, 20 ]
41
[ "43-41=2", "20*2=40", "1+40=41" ]
Current State: 41:[41, 43, 1, 20], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [1, 20, 2] Generated Node #2: [1, 20, 2] from Operation: 43-41=2 Current State: 41:[1, 20, 2], Operations: ['43-41=2'] Exploring Operation: 20*2=40, Resulting Numbers: [1, 40] Generated Node #3: [1, 40] from Operation: 20*2=40 Current State: 41:[1, 40], Operations: ['43-41=2', '20*2=40'] Exploring Operation: 1+40=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 64, 48, 53, 27 ]
60
[ "53+27=80", "48*80=3840", "3840/64=60" ]
Current State: 60:[64, 48, 53, 27], Operations: [] Exploring Operation: 53+27=80, Resulting Numbers: [64, 48, 80] Generated Node #2: [64, 48, 80] from Operation: 53+27=80 Current State: 60:[64, 48, 80], Operations: ['53+27=80'] Exploring Operation: 48*80=3840, Resulting Numbers: [64, 3840] Generated Node #3: [64, 3840] from Operation: 48*80=3840 Current State: 60:[64, 3840], Operations: ['53+27=80', '48*80=3840'] Exploring Operation: 3840/64=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 98, 66, 10, 74 ]
84
[ "66+74=140", "140/10=14", "98-14=84" ]
Current State: 84:[98, 66, 10, 74], Operations: [] Exploring Operation: 66+74=140, Resulting Numbers: [98, 10, 140] Generated Node #2: [98, 10, 140] from Operation: 66+74=140 Current State: 84:[98, 10, 140], Operations: ['66+74=140'] Exploring Operation: 140/10=14, Resulting Numbers: [98, 14] Generated Node #3: [98, 14] from Operation: 140/10=14 Current State: 84:[98, 14], Operations: ['66+74=140', '140/10=14'] Exploring Operation: 98-14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 51, 59, 27, 1 ]
83
[ "51+59=110", "27*1=27", "110-27=83" ]
Current State: 83:[51, 59, 27, 1], Operations: [] Exploring Operation: 51+59=110, Resulting Numbers: [27, 1, 110] Generated Node #2: [27, 1, 110] from Operation: 51+59=110 Current State: 83:[27, 1, 110], Operations: ['51+59=110'] Exploring Operation: 27*1=27, Resulting Numbers: [110, 27] Generated Node #3: [110, 27] from Operation: 27*1=27 Current State: 83:[110, 27], Operations: ['51+59=110', '27*1=27'] Exploring Operation: 110-27=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 87, 89, 33, 77 ]
55
[ "89-87=2", "33+77=110", "110/2=55" ]
Current State: 55:[87, 89, 33, 77], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [33, 77, 2] Generated Node #2: [33, 77, 2] from Operation: 89-87=2 Current State: 55:[33, 77, 2], Operations: ['89-87=2'] Exploring Operation: 33+77=110, Resulting Numbers: [2, 110] Generated Node #3: [2, 110] from Operation: 33+77=110 Current State: 55:[2, 110], Operations: ['89-87=2', '33+77=110'] Exploring Operation: 110/2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 45, 46, 49, 5 ]
54
[ "46-45=1", "49+5=54", "1*54=54" ]
Current State: 54:[45, 46, 49, 5], Operations: [] Exploring Operation: 46-45=1, Resulting Numbers: [49, 5, 1] Generated Node #2: [49, 5, 1] from Operation: 46-45=1 Current State: 54:[49, 5, 1], Operations: ['46-45=1'] Exploring Operation: 49+5=54, Resulting Numbers: [1, 54] Generated Node #3: [1, 54] from Operation: 49+5=54 Current State: 54:[1, 54], Operations: ['46-45=1', '49+5=54'] Exploring Operation: 1*54=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 39, 77, 47, 50 ]
64
[ "50-47=3", "39/3=13", "77-13=64" ]
Current State: 64:[39, 77, 47, 50], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [39, 77, 3] Generated Node #2: [39, 77, 3] from Operation: 50-47=3 Current State: 64:[39, 77, 3], Operations: ['50-47=3'] Exploring Operation: 39/3=13, Resulting Numbers: [77, 13] Generated Node #3: [77, 13] from Operation: 39/3=13 Current State: 64:[77, 13], Operations: ['50-47=3', '39/3=13'] Exploring Operation: 77-13=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 73, 32, 4, 27 ]
18
[ "73-32=41", "27-4=23", "41-23=18" ]
Current State: 18:[73, 32, 4, 27], Operations: [] Exploring Operation: 73-32=41, Resulting Numbers: [4, 27, 41] Generated Node #2: [4, 27, 41] from Operation: 73-32=41 Current State: 18:[4, 27, 41], Operations: ['73-32=41'] Exploring Operation: 27-4=23, Resulting Numbers: [41, 23] Generated Node #3: [41, 23] from Operation: 27-4=23 Current State: 18:[41, 23], Operations: ['73-32=41', '27-4=23'] Exploring Operation: 41-23=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 98, 89, 39, 45 ]
54
[ "98-89=9", "45-39=6", "9*6=54" ]
Current State: 54:[98, 89, 39, 45], Operations: [] Exploring Operation: 98-89=9, Resulting Numbers: [39, 45, 9] Generated Node #2: [39, 45, 9] from Operation: 98-89=9 Current State: 54:[39, 45, 9], Operations: ['98-89=9'] Exploring Operation: 45-39=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 45-39=6 Current State: 54:[9, 6], Operations: ['98-89=9', '45-39=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 91, 37, 56, 33 ]
39
[ "91+37=128", "56+33=89", "128-89=39" ]
Current State: 39:[91, 37, 56, 33], Operations: [] Exploring Operation: 91+37=128, Resulting Numbers: [56, 33, 128] Generated Node #2: [56, 33, 128] from Operation: 91+37=128 Current State: 39:[56, 33, 128], Operations: ['91+37=128'] Exploring Operation: 56+33=89, Resulting Numbers: [128, 89] Generated Node #3: [128, 89] from Operation: 56+33=89 Current State: 39:[128, 89], Operations: ['91+37=128', '56+33=89'] Exploring Operation: 128-89=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 84, 42, 81, 69 ]
55
[ "84-81=3", "42/3=14", "69-14=55" ]
Current State: 55:[84, 42, 81, 69], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [42, 69, 3] Generated Node #2: [42, 69, 3] from Operation: 84-81=3 Current State: 55:[42, 69, 3], Operations: ['84-81=3'] Exploring Operation: 42/3=14, Resulting Numbers: [69, 14] Generated Node #3: [69, 14] from Operation: 42/3=14 Current State: 55:[69, 14], Operations: ['84-81=3', '42/3=14'] Exploring Operation: 69-14=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 47, 15, 78, 31 ]
78
[ "47-15=32", "32-31=1", "78*1=78" ]
Current State: 78:[47, 15, 78, 31], Operations: [] Exploring Operation: 47-15=32, Resulting Numbers: [78, 31, 32] Generated Node #2: [78, 31, 32] from Operation: 47-15=32 Current State: 78:[78, 31, 32], Operations: ['47-15=32'] Exploring Operation: 32-31=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 32-31=1 Current State: 78:[78, 1], Operations: ['47-15=32', '32-31=1'] Exploring Operation: 78*1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 3, 7, 22 ]
96
[ "2+22=24", "7-3=4", "24*4=96" ]
Current State: 96:[2, 3, 7, 22], Operations: [] Exploring Operation: 2+22=24, Resulting Numbers: [3, 7, 24] Generated Node #2: [3, 7, 24] from Operation: 2+22=24 Current State: 96:[3, 7, 24], Operations: ['2+22=24'] Exploring Operation: 7-3=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 7-3=4 Current State: 96:[24, 4], Operations: ['2+22=24', '7-3=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 78, 65, 70, 24 ]
59
[ "78-65=13", "70-24=46", "13+46=59" ]
Current State: 59:[78, 65, 70, 24], Operations: [] Exploring Operation: 78-65=13, Resulting Numbers: [70, 24, 13] Generated Node #2: [70, 24, 13] from Operation: 78-65=13 Current State: 59:[70, 24, 13], Operations: ['78-65=13'] Exploring Operation: 70-24=46, Resulting Numbers: [13, 46] Generated Node #3: [13, 46] from Operation: 70-24=46 Current State: 59:[13, 46], Operations: ['78-65=13', '70-24=46'] Exploring Operation: 13+46=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 36, 67, 21, 90 ]
61
[ "36-21=15", "90/15=6", "67-6=61" ]
Current State: 61:[36, 67, 21, 90], Operations: [] Exploring Operation: 36-21=15, Resulting Numbers: [67, 90, 15] Generated Node #2: [67, 90, 15] from Operation: 36-21=15 Current State: 61:[67, 90, 15], Operations: ['36-21=15'] Exploring Operation: 90/15=6, Resulting Numbers: [67, 6] Generated Node #3: [67, 6] from Operation: 90/15=6 Current State: 61:[67, 6], Operations: ['36-21=15', '90/15=6'] Exploring Operation: 67-6=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 34, 83, 60, 21 ]
17
[ "83-60=23", "23-21=2", "34/2=17" ]
Current State: 17:[34, 83, 60, 21], Operations: [] Exploring Operation: 83-60=23, Resulting Numbers: [34, 21, 23] Generated Node #2: [34, 21, 23] from Operation: 83-60=23 Current State: 17:[34, 21, 23], Operations: ['83-60=23'] Exploring Operation: 23-21=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 23-21=2 Current State: 17:[34, 2], Operations: ['83-60=23', '23-21=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 8, 58, 62, 88 ]
14
[ "62-58=4", "88/4=22", "22-8=14" ]
Current State: 14:[8, 58, 62, 88], Operations: [] Exploring Operation: 62-58=4, Resulting Numbers: [8, 88, 4] Generated Node #2: [8, 88, 4] from Operation: 62-58=4 Current State: 14:[8, 88, 4], Operations: ['62-58=4'] Exploring Operation: 88/4=22, Resulting Numbers: [8, 22] Generated Node #3: [8, 22] from Operation: 88/4=22 Current State: 14:[8, 22], Operations: ['62-58=4', '88/4=22'] Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 95, 23, 50, 24 ]
47
[ "95-23=72", "72/24=3", "50-3=47" ]
Current State: 47:[95, 23, 50, 24], Operations: [] Exploring Operation: 95-23=72, Resulting Numbers: [50, 24, 72] Generated Node #2: [50, 24, 72] from Operation: 95-23=72 Current State: 47:[50, 24, 72], Operations: ['95-23=72'] Exploring Operation: 72/24=3, Resulting Numbers: [50, 3] Generated Node #3: [50, 3] from Operation: 72/24=3 Current State: 47:[50, 3], Operations: ['95-23=72', '72/24=3'] Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 45, 99, 30, 54 ]
10
[ "99*30=2970", "2970/54=55", "55-45=10" ]
Current State: 10:[45, 99, 30, 54], Operations: [] Exploring Operation: 99*30=2970, Resulting Numbers: [45, 54, 2970] Generated Node #2: [45, 54, 2970] from Operation: 99*30=2970 Current State: 10:[45, 54, 2970], Operations: ['99*30=2970'] Exploring Operation: 2970/54=55, Resulting Numbers: [45, 55] Generated Node #3: [45, 55] from Operation: 2970/54=55 Current State: 10:[45, 55], Operations: ['99*30=2970', '2970/54=55'] Exploring Operation: 55-45=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 26, 16, 43, 67 ]
100
[ "26-16=10", "43+67=110", "110-10=100" ]
Current State: 100:[26, 16, 43, 67], Operations: [] Exploring Operation: 26-16=10, Resulting Numbers: [43, 67, 10] Generated Node #2: [43, 67, 10] from Operation: 26-16=10 Current State: 100:[43, 67, 10], Operations: ['26-16=10'] Exploring Operation: 43+67=110, Resulting Numbers: [10, 110] Generated Node #3: [10, 110] from Operation: 43+67=110 Current State: 100:[10, 110], Operations: ['26-16=10', '43+67=110'] Exploring Operation: 110-10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 30, 28, 40, 50 ]
29
[ "30*28=840", "840/40=21", "50-21=29" ]
Current State: 29:[30, 28, 40, 50], Operations: [] Exploring Operation: 30*28=840, Resulting Numbers: [40, 50, 840] Generated Node #2: [40, 50, 840] from Operation: 30*28=840 Current State: 29:[40, 50, 840], Operations: ['30*28=840'] Exploring Operation: 840/40=21, Resulting Numbers: [50, 21] Generated Node #3: [50, 21] from Operation: 840/40=21 Current State: 29:[50, 21], Operations: ['30*28=840', '840/40=21'] Exploring Operation: 50-21=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 42, 87, 15, 3 ]
30
[ "87-42=45", "45/3=15", "15+15=30" ]
Current State: 30:[42, 87, 15, 3], Operations: [] Exploring Operation: 87-42=45, Resulting Numbers: [15, 3, 45] Generated Node #2: [15, 3, 45] from Operation: 87-42=45 Current State: 30:[15, 3, 45], Operations: ['87-42=45'] Exploring Operation: 45/3=15, Resulting Numbers: [15, 15] Generated Node #3: [15, 15] from Operation: 45/3=15 Current State: 30:[15, 15], Operations: ['87-42=45', '45/3=15'] Exploring Operation: 15+15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 10, 75, 21, 4 ]
60
[ "10+75=85", "21+4=25", "85-25=60" ]
Current State: 60:[10, 75, 21, 4], Operations: [] Exploring Operation: 10+75=85, Resulting Numbers: [21, 4, 85] Generated Node #2: [21, 4, 85] from Operation: 10+75=85 Current State: 60:[21, 4, 85], Operations: ['10+75=85'] Exploring Operation: 21+4=25, Resulting Numbers: [85, 25] Generated Node #3: [85, 25] from Operation: 21+4=25 Current State: 60:[85, 25], Operations: ['10+75=85', '21+4=25'] Exploring Operation: 85-25=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 44, 70, 53, 20 ]
47
[ "70-44=26", "53+20=73", "73-26=47" ]
Current State: 47:[44, 70, 53, 20], Operations: [] Exploring Operation: 70-44=26, Resulting Numbers: [53, 20, 26] Generated Node #2: [53, 20, 26] from Operation: 70-44=26 Current State: 47:[53, 20, 26], Operations: ['70-44=26'] Exploring Operation: 53+20=73, Resulting Numbers: [26, 73] Generated Node #3: [26, 73] from Operation: 53+20=73 Current State: 47:[26, 73], Operations: ['70-44=26', '53+20=73'] Exploring Operation: 73-26=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 3, 11, 10, 21 ]
62
[ "3*10=30", "11+21=32", "30+32=62" ]
Current State: 62:[3, 11, 10, 21], Operations: [] Exploring Operation: 3*10=30, Resulting Numbers: [11, 21, 30] Generated Node #2: [11, 21, 30] from Operation: 3*10=30 Current State: 62:[11, 21, 30], Operations: ['3*10=30'] Exploring Operation: 11+21=32, Resulting Numbers: [30, 32] Generated Node #3: [30, 32] from Operation: 11+21=32 Current State: 62:[30, 32], Operations: ['3*10=30', '11+21=32'] Exploring Operation: 30+32=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 13, 89, 23, 13 ]
57
[ "13*13=169", "89+23=112", "169-112=57" ]
Current State: 57:[13, 89, 23, 13], Operations: [] Exploring Operation: 13*13=169, Resulting Numbers: [89, 23, 169] Generated Node #2: [89, 23, 169] from Operation: 13*13=169 Current State: 57:[89, 23, 169], Operations: ['13*13=169'] Exploring Operation: 89+23=112, Resulting Numbers: [169, 112] Generated Node #3: [169, 112] from Operation: 89+23=112 Current State: 57:[169, 112], Operations: ['13*13=169', '89+23=112'] Exploring Operation: 169-112=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 71, 36, 70, 22 ]
59
[ "71+36=107", "70-22=48", "107-48=59" ]
Current State: 59:[71, 36, 70, 22], Operations: [] Exploring Operation: 71+36=107, Resulting Numbers: [70, 22, 107] Generated Node #2: [70, 22, 107] from Operation: 71+36=107 Current State: 59:[70, 22, 107], Operations: ['71+36=107'] Exploring Operation: 70-22=48, Resulting Numbers: [107, 48] Generated Node #3: [107, 48] from Operation: 70-22=48 Current State: 59:[107, 48], Operations: ['71+36=107', '70-22=48'] Exploring Operation: 107-48=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 75, 83, 36, 78 ]
34
[ "83-75=8", "78-36=42", "42-8=34" ]
Current State: 34:[75, 83, 36, 78], Operations: [] Exploring Operation: 83-75=8, Resulting Numbers: [36, 78, 8] Generated Node #2: [36, 78, 8] from Operation: 83-75=8 Current State: 34:[36, 78, 8], Operations: ['83-75=8'] Exploring Operation: 78-36=42, Resulting Numbers: [8, 42] Generated Node #3: [8, 42] from Operation: 78-36=42 Current State: 34:[8, 42], Operations: ['83-75=8', '78-36=42'] Exploring Operation: 42-8=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 25, 36, 58, 49 ]
99
[ "36-25=11", "58-49=9", "11*9=99" ]
Current State: 99:[25, 36, 58, 49], Operations: [] Exploring Operation: 36-25=11, Resulting Numbers: [58, 49, 11] Generated Node #2: [58, 49, 11] from Operation: 36-25=11 Current State: 99:[58, 49, 11], Operations: ['36-25=11'] Exploring Operation: 58-49=9, Resulting Numbers: [11, 9] Generated Node #3: [11, 9] from Operation: 58-49=9 Current State: 99:[11, 9], Operations: ['36-25=11', '58-49=9'] Exploring Operation: 11*9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 57, 3, 6, 31 ]
70
[ "57+31=88", "3*6=18", "88-18=70" ]
Current State: 70:[57, 3, 6, 31], Operations: [] Exploring Operation: 57+31=88, Resulting Numbers: [3, 6, 88] Generated Node #2: [3, 6, 88] from Operation: 57+31=88 Current State: 70:[3, 6, 88], Operations: ['57+31=88'] Exploring Operation: 3*6=18, Resulting Numbers: [88, 18] Generated Node #3: [88, 18] from Operation: 3*6=18 Current State: 70:[88, 18], Operations: ['57+31=88', '3*6=18'] Exploring Operation: 88-18=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 60, 81, 39, 81 ]
98
[ "60+39=99", "81/81=1", "99-1=98" ]
Current State: 98:[60, 81, 39, 81], Operations: [] Exploring Operation: 60+39=99, Resulting Numbers: [81, 81, 99] Generated Node #2: [81, 81, 99] from Operation: 60+39=99 Current State: 98:[81, 81, 99], Operations: ['60+39=99'] Exploring Operation: 81/81=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 81/81=1 Current State: 98:[99, 1], Operations: ['60+39=99', '81/81=1'] Exploring Operation: 99-1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 4, 20, 98, 14 ]
31
[ "4+20=24", "98/14=7", "24+7=31" ]
Current State: 31:[4, 20, 98, 14], Operations: [] Exploring Operation: 4+20=24, Resulting Numbers: [98, 14, 24] Generated Node #2: [98, 14, 24] from Operation: 4+20=24 Current State: 31:[98, 14, 24], Operations: ['4+20=24'] Exploring Operation: 98/14=7, Resulting Numbers: [24, 7] Generated Node #3: [24, 7] from Operation: 98/14=7 Current State: 31:[24, 7], Operations: ['4+20=24', '98/14=7'] Exploring Operation: 24+7=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 75, 40, 1, 80 ]
38
[ "75+1=76", "80/40=2", "76/2=38" ]
Current State: 38:[75, 40, 1, 80], Operations: [] Exploring Operation: 75+1=76, Resulting Numbers: [40, 80, 76] Generated Node #2: [40, 80, 76] from Operation: 75+1=76 Current State: 38:[40, 80, 76], Operations: ['75+1=76'] Exploring Operation: 80/40=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 80/40=2 Current State: 38:[76, 2], Operations: ['75+1=76', '80/40=2'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 28, 22, 92, 90 ]
100
[ "28+22=50", "92-90=2", "50*2=100" ]
Current State: 100:[28, 22, 92, 90], Operations: [] Exploring Operation: 28+22=50, Resulting Numbers: [92, 90, 50] Generated Node #2: [92, 90, 50] from Operation: 28+22=50 Current State: 100:[92, 90, 50], Operations: ['28+22=50'] Exploring Operation: 92-90=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 92-90=2 Current State: 100:[50, 2], Operations: ['28+22=50', '92-90=2'] Exploring Operation: 50*2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 69, 96, 29, 81 ]
32
[ "96-69=27", "81/27=3", "29+3=32" ]
Current State: 32:[69, 96, 29, 81], Operations: [] Exploring Operation: 96-69=27, Resulting Numbers: [29, 81, 27] Generated Node #2: [29, 81, 27] from Operation: 96-69=27 Current State: 32:[29, 81, 27], Operations: ['96-69=27'] Exploring Operation: 81/27=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 81/27=3 Current State: 32:[29, 3], Operations: ['96-69=27', '81/27=3'] Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 62, 53, 5, 22 ]
23
[ "62-53=9", "5*9=45", "45-22=23" ]
Current State: 23:[62, 53, 5, 22], Operations: [] Exploring Operation: 62-53=9, Resulting Numbers: [5, 22, 9] Generated Node #2: [5, 22, 9] from Operation: 62-53=9 Current State: 23:[5, 22, 9], Operations: ['62-53=9'] Exploring Operation: 5*9=45, Resulting Numbers: [22, 45] Generated Node #3: [22, 45] from Operation: 5*9=45 Current State: 23:[22, 45], Operations: ['62-53=9', '5*9=45'] Exploring Operation: 45-22=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 4, 9, 78, 8 ]
89
[ "8/4=2", "9+78=87", "2+87=89" ]
Current State: 89:[4, 9, 78, 8], Operations: [] Exploring Operation: 8/4=2, Resulting Numbers: [9, 78, 2] Generated Node #2: [9, 78, 2] from Operation: 8/4=2 Current State: 89:[9, 78, 2], Operations: ['8/4=2'] Exploring Operation: 9+78=87, Resulting Numbers: [2, 87] Generated Node #3: [2, 87] from Operation: 9+78=87 Current State: 89:[2, 87], Operations: ['8/4=2', '9+78=87'] Exploring Operation: 2+87=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 1, 61, 13, 10 ]
58
[ "1*61=61", "13-10=3", "61-3=58" ]
Current State: 58:[1, 61, 13, 10], Operations: [] Exploring Operation: 1*61=61, Resulting Numbers: [13, 10, 61] Generated Node #2: [13, 10, 61] from Operation: 1*61=61 Current State: 58:[13, 10, 61], Operations: ['1*61=61'] Exploring Operation: 13-10=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 13-10=3 Current State: 58:[61, 3], Operations: ['1*61=61', '13-10=3'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 56, 95, 53, 24 ]
87
[ "56-53=3", "24/3=8", "95-8=87" ]
Current State: 87:[56, 95, 53, 24], Operations: [] Exploring Operation: 56-53=3, Resulting Numbers: [95, 24, 3] Generated Node #2: [95, 24, 3] from Operation: 56-53=3 Current State: 87:[95, 24, 3], Operations: ['56-53=3'] Exploring Operation: 24/3=8, Resulting Numbers: [95, 8] Generated Node #3: [95, 8] from Operation: 24/3=8 Current State: 87:[95, 8], Operations: ['56-53=3', '24/3=8'] Exploring Operation: 95-8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 44, 45, 50, 30 ]
79
[ "45-44=1", "50+30=80", "80-1=79" ]
Current State: 79:[44, 45, 50, 30], Operations: [] Exploring Operation: 45-44=1, Resulting Numbers: [50, 30, 1] Generated Node #2: [50, 30, 1] from Operation: 45-44=1 Current State: 79:[50, 30, 1], Operations: ['45-44=1'] Exploring Operation: 50+30=80, Resulting Numbers: [1, 80] Generated Node #3: [1, 80] from Operation: 50+30=80 Current State: 79:[1, 80], Operations: ['45-44=1', '50+30=80'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 43, 66, 18, 6 ]
57
[ "66+18=84", "84/6=14", "43+14=57" ]
Current State: 57:[43, 66, 18, 6], Operations: [] Exploring Operation: 66+18=84, Resulting Numbers: [43, 6, 84] Generated Node #2: [43, 6, 84] from Operation: 66+18=84 Current State: 57:[43, 6, 84], Operations: ['66+18=84'] Exploring Operation: 84/6=14, Resulting Numbers: [43, 14] Generated Node #3: [43, 14] from Operation: 84/6=14 Current State: 57:[43, 14], Operations: ['66+18=84', '84/6=14'] Exploring Operation: 43+14=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 4, 73, 5, 2 ]
45
[ "5+2=7", "4*7=28", "73-28=45" ]
Current State: 45:[4, 73, 5, 2], Operations: [] Exploring Operation: 5+2=7, Resulting Numbers: [4, 73, 7] Generated Node #2: [4, 73, 7] from Operation: 5+2=7 Current State: 45:[4, 73, 7], Operations: ['5+2=7'] Exploring Operation: 4*7=28, Resulting Numbers: [73, 28] Generated Node #3: [73, 28] from Operation: 4*7=28 Current State: 45:[73, 28], Operations: ['5+2=7', '4*7=28'] Exploring Operation: 73-28=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 3, 51, 47, 16 ]
76
[ "3+16=19", "51-47=4", "19*4=76" ]
Current State: 76:[3, 51, 47, 16], Operations: [] Exploring Operation: 3+16=19, Resulting Numbers: [51, 47, 19] Generated Node #2: [51, 47, 19] from Operation: 3+16=19 Current State: 76:[51, 47, 19], Operations: ['3+16=19'] Exploring Operation: 51-47=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 51-47=4 Current State: 76:[19, 4], Operations: ['3+16=19', '51-47=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 6, 63, 98, 11 ]
40
[ "6+63=69", "98+11=109", "109-69=40" ]
Current State: 40:[6, 63, 98, 11], Operations: [] Exploring Operation: 6+63=69, Resulting Numbers: [98, 11, 69] Generated Node #2: [98, 11, 69] from Operation: 6+63=69 Current State: 40:[98, 11, 69], Operations: ['6+63=69'] Exploring Operation: 98+11=109, Resulting Numbers: [69, 109] Generated Node #3: [69, 109] from Operation: 98+11=109 Current State: 40:[69, 109], Operations: ['6+63=69', '98+11=109'] Exploring Operation: 109-69=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4