Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 7, 24, 4, 51 ]
89
[ "24-4=20", "7*20=140", "140-51=89" ]
Current State: 89:[7, 24, 4, 51], Operations: [] Exploring Operation: 24-4=20, Resulting Numbers: [7, 51, 20] Generated Node #2: [7, 51, 20] from Operation: 24-4=20 Current State: 89:[7, 51, 20], Operations: ['24-4=20'] Exploring Operation: 7*20=140, Resulting Numbers: [51, 140] Generated Node #3: [51, 140] from Operation: 7*20=140 Current State: 89:[51, 140], Operations: ['24-4=20', '7*20=140'] Exploring Operation: 140-51=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 20, 27, 32, 6 ]
50
[ "32-27=5", "6*5=30", "20+30=50" ]
Current State: 50:[20, 27, 32, 6], Operations: [] Exploring Operation: 32-27=5, Resulting Numbers: [20, 6, 5] Generated Node #2: [20, 6, 5] from Operation: 32-27=5 Current State: 50:[20, 6, 5], Operations: ['32-27=5'] Exploring Operation: 6*5=30, Resulting Numbers: [20, 30] Generated Node #3: [20, 30] from Operation: 6*5=30 Current State: 50:[20, 30], Operations: ['32-27=5', '6*5=30'] Exploring Operation: 20+30=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 19, 16, 85, 11 ]
52
[ "19-16=3", "11*3=33", "85-33=52" ]
Current State: 52:[19, 16, 85, 11], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [85, 11, 3] Generated Node #2: [85, 11, 3] from Operation: 19-16=3 Current State: 52:[85, 11, 3], Operations: ['19-16=3'] Exploring Operation: 11*3=33, Resulting Numbers: [85, 33] Generated Node #3: [85, 33] from Operation: 11*3=33 Current State: 52:[85, 33], Operations: ['19-16=3', '11*3=33'] Exploring Operation: 85-33=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 8, 49, 98, 49 ]
98
[ "49-49=0", "8*0=0", "98+0=98" ]
Current State: 98:[8, 49, 98, 49], Operations: [] Exploring Operation: 49-49=0, Resulting Numbers: [8, 98, 0] Generated Node #2: [8, 98, 0] from Operation: 49-49=0 Current State: 98:[8, 98, 0], Operations: ['49-49=0'] Exploring Operation: 8*0=0, Resulting Numbers: [98, 0] Generated Node #3: [98, 0] from Operation: 8*0=0 Current State: 98:[98, 0], Operations: ['49-49=0', '8*0=0'] Exploring Operation: 98+0=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 13, 72, 65, 25 ]
84
[ "25-13=12", "72-65=7", "12*7=84" ]
Current State: 84:[13, 72, 65, 25], Operations: [] Exploring Operation: 25-13=12, Resulting Numbers: [72, 65, 12] Generated Node #2: [72, 65, 12] from Operation: 25-13=12 Current State: 84:[72, 65, 12], Operations: ['25-13=12'] Exploring Operation: 72-65=7, Resulting Numbers: [12, 7] Generated Node #3: [12, 7] from Operation: 72-65=7 Current State: 84:[12, 7], Operations: ['25-13=12', '72-65=7'] Exploring Operation: 12*7=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 87, 70, 24, 58 ]
99
[ "87-70=17", "24+58=82", "17+82=99" ]
Current State: 99:[87, 70, 24, 58], Operations: [] Exploring Operation: 87-70=17, Resulting Numbers: [24, 58, 17] Generated Node #2: [24, 58, 17] from Operation: 87-70=17 Current State: 99:[24, 58, 17], Operations: ['87-70=17'] Exploring Operation: 24+58=82, Resulting Numbers: [17, 82] Generated Node #3: [17, 82] from Operation: 24+58=82 Current State: 99:[17, 82], Operations: ['87-70=17', '24+58=82'] Exploring Operation: 17+82=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 48, 76, 82, 44 ]
96
[ "48*76=3648", "82-44=38", "3648/38=96" ]
Current State: 96:[48, 76, 82, 44], Operations: [] Exploring Operation: 48*76=3648, Resulting Numbers: [82, 44, 3648] Generated Node #2: [82, 44, 3648] from Operation: 48*76=3648 Current State: 96:[82, 44, 3648], Operations: ['48*76=3648'] Exploring Operation: 82-44=38, Resulting Numbers: [3648, 38] Generated Node #3: [3648, 38] from Operation: 82-44=38 Current State: 96:[3648, 38], Operations: ['48*76=3648', '82-44=38'] Exploring Operation: 3648/38=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 81, 95, 70, 22 ]
97
[ "81-70=11", "22/11=2", "95+2=97" ]
Current State: 97:[81, 95, 70, 22], Operations: [] Exploring Operation: 81-70=11, Resulting Numbers: [95, 22, 11] Generated Node #2: [95, 22, 11] from Operation: 81-70=11 Current State: 97:[95, 22, 11], Operations: ['81-70=11'] Exploring Operation: 22/11=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 22/11=2 Current State: 97:[95, 2], Operations: ['81-70=11', '22/11=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 60, 47, 76, 70 ]
37
[ "76-70=6", "60/6=10", "47-10=37" ]
Current State: 37:[60, 47, 76, 70], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [60, 47, 6] Generated Node #2: [60, 47, 6] from Operation: 76-70=6 Current State: 37:[60, 47, 6], Operations: ['76-70=6'] Exploring Operation: 60/6=10, Resulting Numbers: [47, 10] Generated Node #3: [47, 10] from Operation: 60/6=10 Current State: 37:[47, 10], Operations: ['76-70=6', '60/6=10'] Exploring Operation: 47-10=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 89, 41, 84, 50 ]
51
[ "89-84=5", "50/5=10", "41+10=51" ]
Current State: 51:[89, 41, 84, 50], Operations: [] Exploring Operation: 89-84=5, Resulting Numbers: [41, 50, 5] Generated Node #2: [41, 50, 5] from Operation: 89-84=5 Current State: 51:[41, 50, 5], Operations: ['89-84=5'] Exploring Operation: 50/5=10, Resulting Numbers: [41, 10] Generated Node #3: [41, 10] from Operation: 50/5=10 Current State: 51:[41, 10], Operations: ['89-84=5', '50/5=10'] Exploring Operation: 41+10=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 34, 51, 27, 29 ]
17
[ "29-27=2", "34*2=68", "68-51=17" ]
Current State: 17:[34, 51, 27, 29], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [34, 51, 2] Generated Node #2: [34, 51, 2] from Operation: 29-27=2 Current State: 17:[34, 51, 2], Operations: ['29-27=2'] Exploring Operation: 34*2=68, Resulting Numbers: [51, 68] Generated Node #3: [51, 68] from Operation: 34*2=68 Current State: 17:[51, 68], Operations: ['29-27=2', '34*2=68'] Exploring Operation: 68-51=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 17, 71, 86, 93 ]
47
[ "71-17=54", "93-86=7", "54-7=47" ]
Current State: 47:[17, 71, 86, 93], Operations: [] Exploring Operation: 71-17=54, Resulting Numbers: [86, 93, 54] Generated Node #2: [86, 93, 54] from Operation: 71-17=54 Current State: 47:[86, 93, 54], Operations: ['71-17=54'] Exploring Operation: 93-86=7, Resulting Numbers: [54, 7] Generated Node #3: [54, 7] from Operation: 93-86=7 Current State: 47:[54, 7], Operations: ['71-17=54', '93-86=7'] Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 99, 33, 53, 47 ]
99
[ "53-47=6", "33*6=198", "198-99=99" ]
Current State: 99:[99, 33, 53, 47], Operations: [] Exploring Operation: 53-47=6, Resulting Numbers: [99, 33, 6] Generated Node #2: [99, 33, 6] from Operation: 53-47=6 Current State: 99:[99, 33, 6], Operations: ['53-47=6'] Exploring Operation: 33*6=198, Resulting Numbers: [99, 198] Generated Node #3: [99, 198] from Operation: 33*6=198 Current State: 99:[99, 198], Operations: ['53-47=6', '33*6=198'] Exploring Operation: 198-99=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 7, 14, 15, 10 ]
52
[ "7*14=98", "15*10=150", "150-98=52" ]
Current State: 52:[7, 14, 15, 10], Operations: [] Exploring Operation: 7*14=98, Resulting Numbers: [15, 10, 98] Generated Node #2: [15, 10, 98] from Operation: 7*14=98 Current State: 52:[15, 10, 98], Operations: ['7*14=98'] Exploring Operation: 15*10=150, Resulting Numbers: [98, 150] Generated Node #3: [98, 150] from Operation: 15*10=150 Current State: 52:[98, 150], Operations: ['7*14=98', '15*10=150'] Exploring Operation: 150-98=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 88, 95, 46, 17 ]
36
[ "95-88=7", "46-17=29", "7+29=36" ]
Current State: 36:[88, 95, 46, 17], Operations: [] Exploring Operation: 95-88=7, Resulting Numbers: [46, 17, 7] Generated Node #2: [46, 17, 7] from Operation: 95-88=7 Current State: 36:[46, 17, 7], Operations: ['95-88=7'] Exploring Operation: 46-17=29, Resulting Numbers: [7, 29] Generated Node #3: [7, 29] from Operation: 46-17=29 Current State: 36:[7, 29], Operations: ['95-88=7', '46-17=29'] Exploring Operation: 7+29=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 73, 89, 79, 71 ]
24
[ "89-73=16", "79-71=8", "16+8=24" ]
Current State: 24:[73, 89, 79, 71], Operations: [] Exploring Operation: 89-73=16, Resulting Numbers: [79, 71, 16] Generated Node #2: [79, 71, 16] from Operation: 89-73=16 Current State: 24:[79, 71, 16], Operations: ['89-73=16'] Exploring Operation: 79-71=8, Resulting Numbers: [16, 8] Generated Node #3: [16, 8] from Operation: 79-71=8 Current State: 24:[16, 8], Operations: ['89-73=16', '79-71=8'] Exploring Operation: 16+8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 24, 22, 72, 58 ]
77
[ "72/24=3", "22+58=80", "80-3=77" ]
Current State: 77:[24, 22, 72, 58], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [22, 58, 3] Generated Node #2: [22, 58, 3] from Operation: 72/24=3 Current State: 77:[22, 58, 3], Operations: ['72/24=3'] Exploring Operation: 22+58=80, Resulting Numbers: [3, 80] Generated Node #3: [3, 80] from Operation: 22+58=80 Current State: 77:[3, 80], Operations: ['72/24=3', '22+58=80'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 27, 18, 45, 69 ]
91
[ "18*69=1242", "1242/27=46", "45+46=91" ]
Current State: 91:[27, 18, 45, 69], Operations: [] Exploring Operation: 18*69=1242, Resulting Numbers: [27, 45, 1242] Generated Node #2: [27, 45, 1242] from Operation: 18*69=1242 Current State: 91:[27, 45, 1242], Operations: ['18*69=1242'] Exploring Operation: 1242/27=46, Resulting Numbers: [45, 46] Generated Node #3: [45, 46] from Operation: 1242/27=46 Current State: 91:[45, 46], Operations: ['18*69=1242', '1242/27=46'] Exploring Operation: 45+46=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 6, 66, 24 ]
35
[ "24/6=4", "66+4=70", "70/2=35" ]
Current State: 35:[2, 6, 66, 24], Operations: [] Exploring Operation: 24/6=4, Resulting Numbers: [2, 66, 4] Generated Node #2: [2, 66, 4] from Operation: 24/6=4 Current State: 35:[2, 66, 4], Operations: ['24/6=4'] Exploring Operation: 66+4=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 66+4=70 Current State: 35:[2, 70], Operations: ['24/6=4', '66+4=70'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 88, 2, 68, 71 ]
94
[ "71-68=3", "2*3=6", "88+6=94" ]
Current State: 94:[88, 2, 68, 71], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [88, 2, 3] Generated Node #2: [88, 2, 3] from Operation: 71-68=3 Current State: 94:[88, 2, 3], Operations: ['71-68=3'] Exploring Operation: 2*3=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 2*3=6 Current State: 94:[88, 6], Operations: ['71-68=3', '2*3=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 17, 24, 18, 5 ]
43
[ "17*5=85", "24+18=42", "85-42=43" ]
Current State: 43:[17, 24, 18, 5], Operations: [] Exploring Operation: 17*5=85, Resulting Numbers: [24, 18, 85] Generated Node #2: [24, 18, 85] from Operation: 17*5=85 Current State: 43:[24, 18, 85], Operations: ['17*5=85'] Exploring Operation: 24+18=42, Resulting Numbers: [85, 42] Generated Node #3: [85, 42] from Operation: 24+18=42 Current State: 43:[85, 42], Operations: ['17*5=85', '24+18=42'] Exploring Operation: 85-42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 38, 75, 29, 4 ]
79
[ "75-38=37", "29*4=116", "116-37=79" ]
Current State: 79:[38, 75, 29, 4], Operations: [] Exploring Operation: 75-38=37, Resulting Numbers: [29, 4, 37] Generated Node #2: [29, 4, 37] from Operation: 75-38=37 Current State: 79:[29, 4, 37], Operations: ['75-38=37'] Exploring Operation: 29*4=116, Resulting Numbers: [37, 116] Generated Node #3: [37, 116] from Operation: 29*4=116 Current State: 79:[37, 116], Operations: ['75-38=37', '29*4=116'] Exploring Operation: 116-37=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 89, 95, 64, 3 ]
61
[ "95-89=6", "64+3=67", "67-6=61" ]
Current State: 61:[89, 95, 64, 3], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [64, 3, 6] Generated Node #2: [64, 3, 6] from Operation: 95-89=6 Current State: 61:[64, 3, 6], Operations: ['95-89=6'] Exploring Operation: 64+3=67, Resulting Numbers: [6, 67] Generated Node #3: [6, 67] from Operation: 64+3=67 Current State: 61:[6, 67], Operations: ['95-89=6', '64+3=67'] Exploring Operation: 67-6=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 47, 76, 62, 41 ]
50
[ "76-47=29", "62-41=21", "29+21=50" ]
Current State: 50:[47, 76, 62, 41], Operations: [] Exploring Operation: 76-47=29, Resulting Numbers: [62, 41, 29] Generated Node #2: [62, 41, 29] from Operation: 76-47=29 Current State: 50:[62, 41, 29], Operations: ['76-47=29'] Exploring Operation: 62-41=21, Resulting Numbers: [29, 21] Generated Node #3: [29, 21] from Operation: 62-41=21 Current State: 50:[29, 21], Operations: ['76-47=29', '62-41=21'] Exploring Operation: 29+21=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 27, 33, 65, 49 ]
44
[ "27+33=60", "65-49=16", "60-16=44" ]
Current State: 44:[27, 33, 65, 49], Operations: [] Exploring Operation: 27+33=60, Resulting Numbers: [65, 49, 60] Generated Node #2: [65, 49, 60] from Operation: 27+33=60 Current State: 44:[65, 49, 60], Operations: ['27+33=60'] Exploring Operation: 65-49=16, Resulting Numbers: [60, 16] Generated Node #3: [60, 16] from Operation: 65-49=16 Current State: 44:[60, 16], Operations: ['27+33=60', '65-49=16'] Exploring Operation: 60-16=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 63, 10, 88, 13 ]
83
[ "63-13=50", "50/10=5", "88-5=83" ]
Current State: 83:[63, 10, 88, 13], Operations: [] Exploring Operation: 63-13=50, Resulting Numbers: [10, 88, 50] Generated Node #2: [10, 88, 50] from Operation: 63-13=50 Current State: 83:[10, 88, 50], Operations: ['63-13=50'] Exploring Operation: 50/10=5, Resulting Numbers: [88, 5] Generated Node #3: [88, 5] from Operation: 50/10=5 Current State: 83:[88, 5], Operations: ['63-13=50', '50/10=5'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 21, 17, 64, 37 ]
84
[ "21-17=4", "37*4=148", "148-64=84" ]
Current State: 84:[21, 17, 64, 37], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [64, 37, 4] Generated Node #2: [64, 37, 4] from Operation: 21-17=4 Current State: 84:[64, 37, 4], Operations: ['21-17=4'] Exploring Operation: 37*4=148, Resulting Numbers: [64, 148] Generated Node #3: [64, 148] from Operation: 37*4=148 Current State: 84:[64, 148], Operations: ['21-17=4', '37*4=148'] Exploring Operation: 148-64=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 21, 96, 20, 71 ]
25
[ "21-20=1", "96-71=25", "1*25=25" ]
Current State: 25:[21, 96, 20, 71], Operations: [] Exploring Operation: 21-20=1, Resulting Numbers: [96, 71, 1] Generated Node #2: [96, 71, 1] from Operation: 21-20=1 Current State: 25:[96, 71, 1], Operations: ['21-20=1'] Exploring Operation: 96-71=25, Resulting Numbers: [1, 25] Generated Node #3: [1, 25] from Operation: 96-71=25 Current State: 25:[1, 25], Operations: ['21-20=1', '96-71=25'] Exploring Operation: 1*25=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 43, 31, 93, 69 ]
12
[ "43-31=12", "93-69=24", "24-12=12" ]
Current State: 12:[43, 31, 93, 69], Operations: [] Exploring Operation: 43-31=12, Resulting Numbers: [93, 69, 12] Generated Node #2: [93, 69, 12] from Operation: 43-31=12 Current State: 12:[93, 69, 12], Operations: ['43-31=12'] Exploring Operation: 93-69=24, Resulting Numbers: [12, 24] Generated Node #3: [12, 24] from Operation: 93-69=24 Current State: 12:[12, 24], Operations: ['43-31=12', '93-69=24'] Exploring Operation: 24-12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 74, 61, 66, 29 ]
98
[ "74+61=135", "66-29=37", "135-37=98" ]
Current State: 98:[74, 61, 66, 29], Operations: [] Exploring Operation: 74+61=135, Resulting Numbers: [66, 29, 135] Generated Node #2: [66, 29, 135] from Operation: 74+61=135 Current State: 98:[66, 29, 135], Operations: ['74+61=135'] Exploring Operation: 66-29=37, Resulting Numbers: [135, 37] Generated Node #3: [135, 37] from Operation: 66-29=37 Current State: 98:[135, 37], Operations: ['74+61=135', '66-29=37'] Exploring Operation: 135-37=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 58, 31, 61, 66 ]
94
[ "58+31=89", "66-61=5", "89+5=94" ]
Current State: 94:[58, 31, 61, 66], Operations: [] Exploring Operation: 58+31=89, Resulting Numbers: [61, 66, 89] Generated Node #2: [61, 66, 89] from Operation: 58+31=89 Current State: 94:[61, 66, 89], Operations: ['58+31=89'] Exploring Operation: 66-61=5, Resulting Numbers: [89, 5] Generated Node #3: [89, 5] from Operation: 66-61=5 Current State: 94:[89, 5], Operations: ['58+31=89', '66-61=5'] Exploring Operation: 89+5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 10, 17, 86, 3 ]
95
[ "10+17=27", "27/3=9", "86+9=95" ]
Current State: 95:[10, 17, 86, 3], Operations: [] Exploring Operation: 10+17=27, Resulting Numbers: [86, 3, 27] Generated Node #2: [86, 3, 27] from Operation: 10+17=27 Current State: 95:[86, 3, 27], Operations: ['10+17=27'] Exploring Operation: 27/3=9, Resulting Numbers: [86, 9] Generated Node #3: [86, 9] from Operation: 27/3=9 Current State: 95:[86, 9], Operations: ['10+17=27', '27/3=9'] Exploring Operation: 86+9=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 46, 9, 21, 3 ]
36
[ "9+21=30", "30/3=10", "46-10=36" ]
Current State: 36:[46, 9, 21, 3], Operations: [] Exploring Operation: 9+21=30, Resulting Numbers: [46, 3, 30] Generated Node #2: [46, 3, 30] from Operation: 9+21=30 Current State: 36:[46, 3, 30], Operations: ['9+21=30'] Exploring Operation: 30/3=10, Resulting Numbers: [46, 10] Generated Node #3: [46, 10] from Operation: 30/3=10 Current State: 36:[46, 10], Operations: ['9+21=30', '30/3=10'] Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 38, 85, 67, 33 ]
89
[ "38+85=123", "67-33=34", "123-34=89" ]
Current State: 89:[38, 85, 67, 33], Operations: [] Exploring Operation: 38+85=123, Resulting Numbers: [67, 33, 123] Generated Node #2: [67, 33, 123] from Operation: 38+85=123 Current State: 89:[67, 33, 123], Operations: ['38+85=123'] Exploring Operation: 67-33=34, Resulting Numbers: [123, 34] Generated Node #3: [123, 34] from Operation: 67-33=34 Current State: 89:[123, 34], Operations: ['38+85=123', '67-33=34'] Exploring Operation: 123-34=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 3, 87, 31, 33 ]
66
[ "87/3=29", "31-29=2", "33*2=66" ]
Current State: 66:[3, 87, 31, 33], Operations: [] Exploring Operation: 87/3=29, Resulting Numbers: [31, 33, 29] Generated Node #2: [31, 33, 29] from Operation: 87/3=29 Current State: 66:[31, 33, 29], Operations: ['87/3=29'] Exploring Operation: 31-29=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 31-29=2 Current State: 66:[33, 2], Operations: ['87/3=29', '31-29=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 35, 25, 99, 2 ]
41
[ "35+25=60", "99+2=101", "101-60=41" ]
Current State: 41:[35, 25, 99, 2], Operations: [] Exploring Operation: 35+25=60, Resulting Numbers: [99, 2, 60] Generated Node #2: [99, 2, 60] from Operation: 35+25=60 Current State: 41:[99, 2, 60], Operations: ['35+25=60'] Exploring Operation: 99+2=101, Resulting Numbers: [60, 101] Generated Node #3: [60, 101] from Operation: 99+2=101 Current State: 41:[60, 101], Operations: ['35+25=60', '99+2=101'] Exploring Operation: 101-60=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 3, 1, 6, 62 ]
64
[ "3+1=4", "6+62=68", "68-4=64" ]
Current State: 64:[3, 1, 6, 62], Operations: [] Exploring Operation: 3+1=4, Resulting Numbers: [6, 62, 4] Generated Node #2: [6, 62, 4] from Operation: 3+1=4 Current State: 64:[6, 62, 4], Operations: ['3+1=4'] Exploring Operation: 6+62=68, Resulting Numbers: [4, 68] Generated Node #3: [4, 68] from Operation: 6+62=68 Current State: 64:[4, 68], Operations: ['3+1=4', '6+62=68'] Exploring Operation: 68-4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 8, 90, 54, 9 ]
76
[ "90-8=82", "54/9=6", "82-6=76" ]
Current State: 76:[8, 90, 54, 9], Operations: [] Exploring Operation: 90-8=82, Resulting Numbers: [54, 9, 82] Generated Node #2: [54, 9, 82] from Operation: 90-8=82 Current State: 76:[54, 9, 82], Operations: ['90-8=82'] Exploring Operation: 54/9=6, Resulting Numbers: [82, 6] Generated Node #3: [82, 6] from Operation: 54/9=6 Current State: 76:[82, 6], Operations: ['90-8=82', '54/9=6'] Exploring Operation: 82-6=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 97, 18, 5, 26 ]
94
[ "97+18=115", "26-5=21", "115-21=94" ]
Current State: 94:[97, 18, 5, 26], Operations: [] Exploring Operation: 97+18=115, Resulting Numbers: [5, 26, 115] Generated Node #2: [5, 26, 115] from Operation: 97+18=115 Current State: 94:[5, 26, 115], Operations: ['97+18=115'] Exploring Operation: 26-5=21, Resulting Numbers: [115, 21] Generated Node #3: [115, 21] from Operation: 26-5=21 Current State: 94:[115, 21], Operations: ['97+18=115', '26-5=21'] Exploring Operation: 115-21=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 6, 37, 14, 37 ]
20
[ "6+37=43", "37-14=23", "43-23=20" ]
Current State: 20:[6, 37, 14, 37], Operations: [] Exploring Operation: 6+37=43, Resulting Numbers: [14, 43] Generated Node #2: [14, 43] from Operation: 6+37=43 Current State: 20:[14, 43], Operations: ['6+37=43'] Exploring Operation: 37-14=23, Resulting Numbers: [43, 23] Generated Node #3: [43, 23] from Operation: 37-14=23 Current State: 20:[43, 23], Operations: ['6+37=43', '37-14=23'] Exploring Operation: 43-23=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 86, 88, 44, 18 ]
24
[ "88-86=2", "44-18=26", "26-2=24" ]
Current State: 24:[86, 88, 44, 18], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [44, 18, 2] Generated Node #2: [44, 18, 2] from Operation: 88-86=2 Current State: 24:[44, 18, 2], Operations: ['88-86=2'] Exploring Operation: 44-18=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 44-18=26 Current State: 24:[2, 26], Operations: ['88-86=2', '44-18=26'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 97, 54, 77, 3 ]
38
[ "97-77=20", "54/3=18", "20+18=38" ]
Current State: 38:[97, 54, 77, 3], Operations: [] Exploring Operation: 97-77=20, Resulting Numbers: [54, 3, 20] Generated Node #2: [54, 3, 20] from Operation: 97-77=20 Current State: 38:[54, 3, 20], Operations: ['97-77=20'] Exploring Operation: 54/3=18, Resulting Numbers: [20, 18] Generated Node #3: [20, 18] from Operation: 54/3=18 Current State: 38:[20, 18], Operations: ['97-77=20', '54/3=18'] Exploring Operation: 20+18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 46, 73, 12, 44 ]
79
[ "46-44=2", "12/2=6", "73+6=79" ]
Current State: 79:[46, 73, 12, 44], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [73, 12, 2] Generated Node #2: [73, 12, 2] from Operation: 46-44=2 Current State: 79:[73, 12, 2], Operations: ['46-44=2'] Exploring Operation: 12/2=6, Resulting Numbers: [73, 6] Generated Node #3: [73, 6] from Operation: 12/2=6 Current State: 79:[73, 6], Operations: ['46-44=2', '12/2=6'] Exploring Operation: 73+6=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 8, 73, 1, 28 ]
53
[ "8+73=81", "1*28=28", "81-28=53" ]
Current State: 53:[8, 73, 1, 28], Operations: [] Exploring Operation: 8+73=81, Resulting Numbers: [1, 28, 81] Generated Node #2: [1, 28, 81] from Operation: 8+73=81 Current State: 53:[1, 28, 81], Operations: ['8+73=81'] Exploring Operation: 1*28=28, Resulting Numbers: [81, 28] Generated Node #3: [81, 28] from Operation: 1*28=28 Current State: 53:[81, 28], Operations: ['8+73=81', '1*28=28'] Exploring Operation: 81-28=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 59, 75, 63, 22 ]
57
[ "75-59=16", "63-22=41", "16+41=57" ]
Current State: 57:[59, 75, 63, 22], Operations: [] Exploring Operation: 75-59=16, Resulting Numbers: [63, 22, 16] Generated Node #2: [63, 22, 16] from Operation: 75-59=16 Current State: 57:[63, 22, 16], Operations: ['75-59=16'] Exploring Operation: 63-22=41, Resulting Numbers: [16, 41] Generated Node #3: [16, 41] from Operation: 63-22=41 Current State: 57:[16, 41], Operations: ['75-59=16', '63-22=41'] Exploring Operation: 16+41=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 6, 9, 12, 69 ]
25
[ "6+69=75", "12-9=3", "75/3=25" ]
Current State: 25:[6, 9, 12, 69], Operations: [] Exploring Operation: 6+69=75, Resulting Numbers: [9, 12, 75] Generated Node #2: [9, 12, 75] from Operation: 6+69=75 Current State: 25:[9, 12, 75], Operations: ['6+69=75'] Exploring Operation: 12-9=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 12-9=3 Current State: 25:[75, 3], Operations: ['6+69=75', '12-9=3'] Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 45, 3, 39, 80 ]
66
[ "80-45=35", "3*35=105", "105-39=66" ]
Current State: 66:[45, 3, 39, 80], Operations: [] Exploring Operation: 80-45=35, Resulting Numbers: [3, 39, 35] Generated Node #2: [3, 39, 35] from Operation: 80-45=35 Current State: 66:[3, 39, 35], Operations: ['80-45=35'] Exploring Operation: 3*35=105, Resulting Numbers: [39, 105] Generated Node #3: [39, 105] from Operation: 3*35=105 Current State: 66:[39, 105], Operations: ['80-45=35', '3*35=105'] Exploring Operation: 105-39=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 59, 89, 52, 70 ]
92
[ "89-59=30", "52+70=122", "122-30=92" ]
Current State: 92:[59, 89, 52, 70], Operations: [] Exploring Operation: 89-59=30, Resulting Numbers: [52, 70, 30] Generated Node #2: [52, 70, 30] from Operation: 89-59=30 Current State: 92:[52, 70, 30], Operations: ['89-59=30'] Exploring Operation: 52+70=122, Resulting Numbers: [30, 122] Generated Node #3: [30, 122] from Operation: 52+70=122 Current State: 92:[30, 122], Operations: ['89-59=30', '52+70=122'] Exploring Operation: 122-30=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 22, 46, 81, 7 ]
50
[ "46-22=24", "81-7=74", "74-24=50" ]
Current State: 50:[22, 46, 81, 7], Operations: [] Exploring Operation: 46-22=24, Resulting Numbers: [81, 7, 24] Generated Node #2: [81, 7, 24] from Operation: 46-22=24 Current State: 50:[81, 7, 24], Operations: ['46-22=24'] Exploring Operation: 81-7=74, Resulting Numbers: [24, 74] Generated Node #3: [24, 74] from Operation: 81-7=74 Current State: 50:[24, 74], Operations: ['46-22=24', '81-7=74'] Exploring Operation: 74-24=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 11, 24, 26, 13 ]
70
[ "11+24=35", "26/13=2", "35*2=70" ]
Current State: 70:[11, 24, 26, 13], Operations: [] Exploring Operation: 11+24=35, Resulting Numbers: [26, 13, 35] Generated Node #2: [26, 13, 35] from Operation: 11+24=35 Current State: 70:[26, 13, 35], Operations: ['11+24=35'] Exploring Operation: 26/13=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 26/13=2 Current State: 70:[35, 2], Operations: ['11+24=35', '26/13=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 26, 12, 43, 40 ]
62
[ "43-40=3", "12*3=36", "26+36=62" ]
Current State: 62:[26, 12, 43, 40], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [26, 12, 3] Generated Node #2: [26, 12, 3] from Operation: 43-40=3 Current State: 62:[26, 12, 3], Operations: ['43-40=3'] Exploring Operation: 12*3=36, Resulting Numbers: [26, 36] Generated Node #3: [26, 36] from Operation: 12*3=36 Current State: 62:[26, 36], Operations: ['43-40=3', '12*3=36'] Exploring Operation: 26+36=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 46, 87, 18, 71 ]
44
[ "46+87=133", "18+71=89", "133-89=44" ]
Current State: 44:[46, 87, 18, 71], Operations: [] Exploring Operation: 46+87=133, Resulting Numbers: [18, 71, 133] Generated Node #2: [18, 71, 133] from Operation: 46+87=133 Current State: 44:[18, 71, 133], Operations: ['46+87=133'] Exploring Operation: 18+71=89, Resulting Numbers: [133, 89] Generated Node #3: [133, 89] from Operation: 18+71=89 Current State: 44:[133, 89], Operations: ['46+87=133', '18+71=89'] Exploring Operation: 133-89=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 74, 50, 49, 96 ]
48
[ "74-49=25", "50/25=2", "96/2=48" ]
Current State: 48:[74, 50, 49, 96], Operations: [] Exploring Operation: 74-49=25, Resulting Numbers: [50, 96, 25] Generated Node #2: [50, 96, 25] from Operation: 74-49=25 Current State: 48:[50, 96, 25], Operations: ['74-49=25'] Exploring Operation: 50/25=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 50/25=2 Current State: 48:[96, 2], Operations: ['74-49=25', '50/25=2'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 91, 70, 78, 58 ]
41
[ "91-70=21", "78-58=20", "21+20=41" ]
Current State: 41:[91, 70, 78, 58], Operations: [] Exploring Operation: 91-70=21, Resulting Numbers: [78, 58, 21] Generated Node #2: [78, 58, 21] from Operation: 91-70=21 Current State: 41:[78, 58, 21], Operations: ['91-70=21'] Exploring Operation: 78-58=20, Resulting Numbers: [21, 20] Generated Node #3: [21, 20] from Operation: 78-58=20 Current State: 41:[21, 20], Operations: ['91-70=21', '78-58=20'] Exploring Operation: 21+20=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 39, 2, 67, 70 ]
81
[ "39*2=78", "70-67=3", "78+3=81" ]
Current State: 81:[39, 2, 67, 70], Operations: [] Exploring Operation: 39*2=78, Resulting Numbers: [67, 70, 78] Generated Node #2: [67, 70, 78] from Operation: 39*2=78 Current State: 81:[67, 70, 78], Operations: ['39*2=78'] Exploring Operation: 70-67=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 70-67=3 Current State: 81:[78, 3], Operations: ['39*2=78', '70-67=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 39, 52, 19, 79 ]
31
[ "39+52=91", "79-19=60", "91-60=31" ]
Current State: 31:[39, 52, 19, 79], Operations: [] Exploring Operation: 39+52=91, Resulting Numbers: [19, 79, 91] Generated Node #2: [19, 79, 91] from Operation: 39+52=91 Current State: 31:[19, 79, 91], Operations: ['39+52=91'] Exploring Operation: 79-19=60, Resulting Numbers: [91, 60] Generated Node #3: [91, 60] from Operation: 79-19=60 Current State: 31:[91, 60], Operations: ['39+52=91', '79-19=60'] Exploring Operation: 91-60=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 86, 88, 34, 11 ]
12
[ "88-86=2", "11*2=22", "34-22=12" ]
Current State: 12:[86, 88, 34, 11], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [34, 11, 2] Generated Node #2: [34, 11, 2] from Operation: 88-86=2 Current State: 12:[34, 11, 2], Operations: ['88-86=2'] Exploring Operation: 11*2=22, Resulting Numbers: [34, 22] Generated Node #3: [34, 22] from Operation: 11*2=22 Current State: 12:[34, 22], Operations: ['88-86=2', '11*2=22'] Exploring Operation: 34-22=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 7, 37, 36, 25 ]
35
[ "25-7=18", "36/18=2", "37-2=35" ]
Current State: 35:[7, 37, 36, 25], Operations: [] Exploring Operation: 25-7=18, Resulting Numbers: [37, 36, 18] Generated Node #2: [37, 36, 18] from Operation: 25-7=18 Current State: 35:[37, 36, 18], Operations: ['25-7=18'] Exploring Operation: 36/18=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 36/18=2 Current State: 35:[37, 2], Operations: ['25-7=18', '36/18=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 95, 68, 68, 61 ]
95
[ "68-68=0", "61*0=0", "95+0=95" ]
Current State: 95:[95, 68, 68, 61], Operations: [] Exploring Operation: 68-68=0, Resulting Numbers: [95, 61, 0] Generated Node #2: [95, 61, 0] from Operation: 68-68=0 Current State: 95:[95, 61, 0], Operations: ['68-68=0'] Exploring Operation: 61*0=0, Resulting Numbers: [95, 0] Generated Node #3: [95, 0] from Operation: 61*0=0 Current State: 95:[95, 0], Operations: ['68-68=0', '61*0=0'] Exploring Operation: 95+0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 9, 80, 7, 18 ]
37
[ "9+80=89", "7*18=126", "126-89=37" ]
Current State: 37:[9, 80, 7, 18], Operations: [] Exploring Operation: 9+80=89, Resulting Numbers: [7, 18, 89] Generated Node #2: [7, 18, 89] from Operation: 9+80=89 Current State: 37:[7, 18, 89], Operations: ['9+80=89'] Exploring Operation: 7*18=126, Resulting Numbers: [89, 126] Generated Node #3: [89, 126] from Operation: 7*18=126 Current State: 37:[89, 126], Operations: ['9+80=89', '7*18=126'] Exploring Operation: 126-89=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 64, 83, 95, 48 ]
28
[ "83-64=19", "95-48=47", "47-19=28" ]
Current State: 28:[64, 83, 95, 48], Operations: [] Exploring Operation: 83-64=19, Resulting Numbers: [95, 48, 19] Generated Node #2: [95, 48, 19] from Operation: 83-64=19 Current State: 28:[95, 48, 19], Operations: ['83-64=19'] Exploring Operation: 95-48=47, Resulting Numbers: [19, 47] Generated Node #3: [19, 47] from Operation: 95-48=47 Current State: 28:[19, 47], Operations: ['83-64=19', '95-48=47'] Exploring Operation: 47-19=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 33, 46, 17, 3 ]
90
[ "46-33=13", "17+13=30", "3*30=90" ]
Current State: 90:[33, 46, 17, 3], Operations: [] Exploring Operation: 46-33=13, Resulting Numbers: [17, 3, 13] Generated Node #2: [17, 3, 13] from Operation: 46-33=13 Current State: 90:[17, 3, 13], Operations: ['46-33=13'] Exploring Operation: 17+13=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 17+13=30 Current State: 90:[3, 30], Operations: ['46-33=13', '17+13=30'] Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 30, 46, 4, 50 ]
54
[ "46-30=16", "16/4=4", "50+4=54" ]
Current State: 54:[30, 46, 4, 50], Operations: [] Exploring Operation: 46-30=16, Resulting Numbers: [4, 50, 16] Generated Node #2: [4, 50, 16] from Operation: 46-30=16 Current State: 54:[4, 50, 16], Operations: ['46-30=16'] Exploring Operation: 16/4=4, Resulting Numbers: [50, 4] Generated Node #3: [50, 4] from Operation: 16/4=4 Current State: 54:[50, 4], Operations: ['46-30=16', '16/4=4'] Exploring Operation: 50+4=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 5, 15, 2, 29 ]
52
[ "5*15=75", "29+75=104", "104/2=52" ]
Current State: 52:[5, 15, 2, 29], Operations: [] Exploring Operation: 5*15=75, Resulting Numbers: [2, 29, 75] Generated Node #2: [2, 29, 75] from Operation: 5*15=75 Current State: 52:[2, 29, 75], Operations: ['5*15=75'] Exploring Operation: 29+75=104, Resulting Numbers: [2, 104] Generated Node #3: [2, 104] from Operation: 29+75=104 Current State: 52:[2, 104], Operations: ['5*15=75', '29+75=104'] Exploring Operation: 104/2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 17, 92, 44, 33 ]
25
[ "92+44=136", "136/17=8", "33-8=25" ]
Current State: 25:[17, 92, 44, 33], Operations: [] Exploring Operation: 92+44=136, Resulting Numbers: [17, 33, 136] Generated Node #2: [17, 33, 136] from Operation: 92+44=136 Current State: 25:[17, 33, 136], Operations: ['92+44=136'] Exploring Operation: 136/17=8, Resulting Numbers: [33, 8] Generated Node #3: [33, 8] from Operation: 136/17=8 Current State: 25:[33, 8], Operations: ['92+44=136', '136/17=8'] Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 64, 52, 83, 76 ]
81
[ "52+76=128", "128/64=2", "83-2=81" ]
Current State: 81:[64, 52, 83, 76], Operations: [] Exploring Operation: 52+76=128, Resulting Numbers: [64, 83, 128] Generated Node #2: [64, 83, 128] from Operation: 52+76=128 Current State: 81:[64, 83, 128], Operations: ['52+76=128'] Exploring Operation: 128/64=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 128/64=2 Current State: 81:[83, 2], Operations: ['52+76=128', '128/64=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 57, 45, 33, 60 ]
62
[ "57+33=90", "90/45=2", "60+2=62" ]
Current State: 62:[57, 45, 33, 60], Operations: [] Exploring Operation: 57+33=90, Resulting Numbers: [45, 60, 90] Generated Node #2: [45, 60, 90] from Operation: 57+33=90 Current State: 62:[45, 60, 90], Operations: ['57+33=90'] Exploring Operation: 90/45=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 90/45=2 Current State: 62:[60, 2], Operations: ['57+33=90', '90/45=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 62, 50, 82, 18 ]
48
[ "62+50=112", "82-18=64", "112-64=48" ]
Current State: 48:[62, 50, 82, 18], Operations: [] Exploring Operation: 62+50=112, Resulting Numbers: [82, 18, 112] Generated Node #2: [82, 18, 112] from Operation: 62+50=112 Current State: 48:[82, 18, 112], Operations: ['62+50=112'] Exploring Operation: 82-18=64, Resulting Numbers: [112, 64] Generated Node #3: [112, 64] from Operation: 82-18=64 Current State: 48:[112, 64], Operations: ['62+50=112', '82-18=64'] Exploring Operation: 112-64=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 69, 25, 9, 81 ]
54
[ "69+81=150", "150/25=6", "9*6=54" ]
Current State: 54:[69, 25, 9, 81], Operations: [] Exploring Operation: 69+81=150, Resulting Numbers: [25, 9, 150] Generated Node #2: [25, 9, 150] from Operation: 69+81=150 Current State: 54:[25, 9, 150], Operations: ['69+81=150'] Exploring Operation: 150/25=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 150/25=6 Current State: 54:[9, 6], Operations: ['69+81=150', '150/25=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 39, 84, 15, 3 ]
13
[ "39+3=42", "84/42=2", "15-2=13" ]
Current State: 13:[39, 84, 15, 3], Operations: [] Exploring Operation: 39+3=42, Resulting Numbers: [84, 15, 42] Generated Node #2: [84, 15, 42] from Operation: 39+3=42 Current State: 13:[84, 15, 42], Operations: ['39+3=42'] Exploring Operation: 84/42=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 84/42=2 Current State: 13:[15, 2], Operations: ['39+3=42', '84/42=2'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 45, 1, 2, 6 ]
58
[ "45+1=46", "2*6=12", "46+12=58" ]
Current State: 58:[45, 1, 2, 6], Operations: [] Exploring Operation: 45+1=46, Resulting Numbers: [2, 6, 46] Generated Node #2: [2, 6, 46] from Operation: 45+1=46 Current State: 58:[2, 6, 46], Operations: ['45+1=46'] Exploring Operation: 2*6=12, Resulting Numbers: [46, 12] Generated Node #3: [46, 12] from Operation: 2*6=12 Current State: 58:[46, 12], Operations: ['45+1=46', '2*6=12'] Exploring Operation: 46+12=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 26, 14, 58, 7 ]
55
[ "14/7=2", "58/2=29", "26+29=55" ]
Current State: 55:[26, 14, 58, 7], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [26, 58, 2] Generated Node #2: [26, 58, 2] from Operation: 14/7=2 Current State: 55:[26, 58, 2], Operations: ['14/7=2'] Exploring Operation: 58/2=29, Resulting Numbers: [26, 29] Generated Node #3: [26, 29] from Operation: 58/2=29 Current State: 55:[26, 29], Operations: ['14/7=2', '58/2=29'] Exploring Operation: 26+29=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 95, 87, 50, 58 ]
64
[ "95-87=8", "58-50=8", "8*8=64" ]
Current State: 64:[95, 87, 50, 58], Operations: [] Exploring Operation: 95-87=8, Resulting Numbers: [50, 58, 8] Generated Node #2: [50, 58, 8] from Operation: 95-87=8 Current State: 64:[50, 58, 8], Operations: ['95-87=8'] Exploring Operation: 58-50=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 58-50=8 Current State: 64:[8, 8], Operations: ['95-87=8', '58-50=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 15, 87, 35, 80 ]
70
[ "87-80=7", "15*7=105", "105-35=70" ]
Current State: 70:[15, 87, 35, 80], Operations: [] Exploring Operation: 87-80=7, Resulting Numbers: [15, 35, 7] Generated Node #2: [15, 35, 7] from Operation: 87-80=7 Current State: 70:[15, 35, 7], Operations: ['87-80=7'] Exploring Operation: 15*7=105, Resulting Numbers: [35, 105] Generated Node #3: [35, 105] from Operation: 15*7=105 Current State: 70:[35, 105], Operations: ['87-80=7', '15*7=105'] Exploring Operation: 105-35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 54, 6, 76, 81 ]
97
[ "54+6=60", "76+81=157", "157-60=97" ]
Current State: 97:[54, 6, 76, 81], Operations: [] Exploring Operation: 54+6=60, Resulting Numbers: [76, 81, 60] Generated Node #2: [76, 81, 60] from Operation: 54+6=60 Current State: 97:[76, 81, 60], Operations: ['54+6=60'] Exploring Operation: 76+81=157, Resulting Numbers: [60, 157] Generated Node #3: [60, 157] from Operation: 76+81=157 Current State: 97:[60, 157], Operations: ['54+6=60', '76+81=157'] Exploring Operation: 157-60=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 8, 98, 97, 98 ]
89
[ "8+98=106", "97+98=195", "195-106=89" ]
Current State: 89:[8, 98, 97, 98], Operations: [] Exploring Operation: 8+98=106, Resulting Numbers: [97, 106] Generated Node #2: [97, 106] from Operation: 8+98=106 Current State: 89:[97, 106], Operations: ['8+98=106'] Exploring Operation: 97+98=195, Resulting Numbers: [106, 195] Generated Node #3: [106, 195] from Operation: 97+98=195 Current State: 89:[106, 195], Operations: ['8+98=106', '97+98=195'] Exploring Operation: 195-106=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 9, 14, 44, 27 ]
94
[ "9+14=23", "44+27=71", "23+71=94" ]
Current State: 94:[9, 14, 44, 27], Operations: [] Exploring Operation: 9+14=23, Resulting Numbers: [44, 27, 23] Generated Node #2: [44, 27, 23] from Operation: 9+14=23 Current State: 94:[44, 27, 23], Operations: ['9+14=23'] Exploring Operation: 44+27=71, Resulting Numbers: [23, 71] Generated Node #3: [23, 71] from Operation: 44+27=71 Current State: 94:[23, 71], Operations: ['9+14=23', '44+27=71'] Exploring Operation: 23+71=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 80, 17, 32, 45 ]
35
[ "32*45=1440", "1440/80=18", "17+18=35" ]
Current State: 35:[80, 17, 32, 45], Operations: [] Exploring Operation: 32*45=1440, Resulting Numbers: [80, 17, 1440] Generated Node #2: [80, 17, 1440] from Operation: 32*45=1440 Current State: 35:[80, 17, 1440], Operations: ['32*45=1440'] Exploring Operation: 1440/80=18, Resulting Numbers: [17, 18] Generated Node #3: [17, 18] from Operation: 1440/80=18 Current State: 35:[17, 18], Operations: ['32*45=1440', '1440/80=18'] Exploring Operation: 17+18=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 85, 15, 69, 64 ]
33
[ "85+15=100", "69+64=133", "133-100=33" ]
Current State: 33:[85, 15, 69, 64], Operations: [] Exploring Operation: 85+15=100, Resulting Numbers: [69, 64, 100] Generated Node #2: [69, 64, 100] from Operation: 85+15=100 Current State: 33:[69, 64, 100], Operations: ['85+15=100'] Exploring Operation: 69+64=133, Resulting Numbers: [100, 133] Generated Node #3: [100, 133] from Operation: 69+64=133 Current State: 33:[100, 133], Operations: ['85+15=100', '69+64=133'] Exploring Operation: 133-100=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 64, 81, 94, 31 ]
81
[ "94-64=30", "31-30=1", "81*1=81" ]
Current State: 81:[64, 81, 94, 31], Operations: [] Exploring Operation: 94-64=30, Resulting Numbers: [81, 31, 30] Generated Node #2: [81, 31, 30] from Operation: 94-64=30 Current State: 81:[81, 31, 30], Operations: ['94-64=30'] Exploring Operation: 31-30=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 31-30=1 Current State: 81:[81, 1], Operations: ['94-64=30', '31-30=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 7, 10, 9, 57 ]
83
[ "7+10=17", "9+57=66", "17+66=83" ]
Current State: 83:[7, 10, 9, 57], Operations: [] Exploring Operation: 7+10=17, Resulting Numbers: [9, 57, 17] Generated Node #2: [9, 57, 17] from Operation: 7+10=17 Current State: 83:[9, 57, 17], Operations: ['7+10=17'] Exploring Operation: 9+57=66, Resulting Numbers: [17, 66] Generated Node #3: [17, 66] from Operation: 9+57=66 Current State: 83:[17, 66], Operations: ['7+10=17', '9+57=66'] Exploring Operation: 17+66=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 64, 35, 37, 21 ]
31
[ "37-21=16", "64/16=4", "35-4=31" ]
Current State: 31:[64, 35, 37, 21], Operations: [] Exploring Operation: 37-21=16, Resulting Numbers: [64, 35, 16] Generated Node #2: [64, 35, 16] from Operation: 37-21=16 Current State: 31:[64, 35, 16], Operations: ['37-21=16'] Exploring Operation: 64/16=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 64/16=4 Current State: 31:[35, 4], Operations: ['37-21=16', '64/16=4'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 15, 30, 71, 13 ]
94
[ "15*13=195", "30+71=101", "195-101=94" ]
Current State: 94:[15, 30, 71, 13], Operations: [] Exploring Operation: 15*13=195, Resulting Numbers: [30, 71, 195] Generated Node #2: [30, 71, 195] from Operation: 15*13=195 Current State: 94:[30, 71, 195], Operations: ['15*13=195'] Exploring Operation: 30+71=101, Resulting Numbers: [195, 101] Generated Node #3: [195, 101] from Operation: 30+71=101 Current State: 94:[195, 101], Operations: ['15*13=195', '30+71=101'] Exploring Operation: 195-101=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 17, 78, 96, 58 ]
23
[ "78-17=61", "96-58=38", "61-38=23" ]
Current State: 23:[17, 78, 96, 58], Operations: [] Exploring Operation: 78-17=61, Resulting Numbers: [96, 58, 61] Generated Node #2: [96, 58, 61] from Operation: 78-17=61 Current State: 23:[96, 58, 61], Operations: ['78-17=61'] Exploring Operation: 96-58=38, Resulting Numbers: [61, 38] Generated Node #3: [61, 38] from Operation: 96-58=38 Current State: 23:[61, 38], Operations: ['78-17=61', '96-58=38'] Exploring Operation: 61-38=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 5, 89, 39, 67 ]
56
[ "89-5=84", "67-39=28", "84-28=56" ]
Current State: 56:[5, 89, 39, 67], Operations: [] Exploring Operation: 89-5=84, Resulting Numbers: [39, 67, 84] Generated Node #2: [39, 67, 84] from Operation: 89-5=84 Current State: 56:[39, 67, 84], Operations: ['89-5=84'] Exploring Operation: 67-39=28, Resulting Numbers: [84, 28] Generated Node #3: [84, 28] from Operation: 67-39=28 Current State: 56:[84, 28], Operations: ['89-5=84', '67-39=28'] Exploring Operation: 84-28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 71, 11, 37 ]
84
[ "37-11=26", "26/2=13", "71+13=84" ]
Current State: 84:[2, 71, 11, 37], Operations: [] Exploring Operation: 37-11=26, Resulting Numbers: [2, 71, 26] Generated Node #2: [2, 71, 26] from Operation: 37-11=26 Current State: 84:[2, 71, 26], Operations: ['37-11=26'] Exploring Operation: 26/2=13, Resulting Numbers: [71, 13] Generated Node #3: [71, 13] from Operation: 26/2=13 Current State: 84:[71, 13], Operations: ['37-11=26', '26/2=13'] Exploring Operation: 71+13=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 8, 46, 18, 64 ]
34
[ "8*18=144", "46+64=110", "144-110=34" ]
Current State: 34:[8, 46, 18, 64], Operations: [] Exploring Operation: 8*18=144, Resulting Numbers: [46, 64, 144] Generated Node #2: [46, 64, 144] from Operation: 8*18=144 Current State: 34:[46, 64, 144], Operations: ['8*18=144'] Exploring Operation: 46+64=110, Resulting Numbers: [144, 110] Generated Node #3: [144, 110] from Operation: 46+64=110 Current State: 34:[144, 110], Operations: ['8*18=144', '46+64=110'] Exploring Operation: 144-110=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 5, 8, 18, 97 ]
43
[ "8-5=3", "18*3=54", "97-54=43" ]
Current State: 43:[5, 8, 18, 97], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [18, 97, 3] Generated Node #2: [18, 97, 3] from Operation: 8-5=3 Current State: 43:[18, 97, 3], Operations: ['8-5=3'] Exploring Operation: 18*3=54, Resulting Numbers: [97, 54] Generated Node #3: [97, 54] from Operation: 18*3=54 Current State: 43:[97, 54], Operations: ['8-5=3', '18*3=54'] Exploring Operation: 97-54=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 95, 74, 53, 12 ]
62
[ "95-74=21", "53-12=41", "21+41=62" ]
Current State: 62:[95, 74, 53, 12], Operations: [] Exploring Operation: 95-74=21, Resulting Numbers: [53, 12, 21] Generated Node #2: [53, 12, 21] from Operation: 95-74=21 Current State: 62:[53, 12, 21], Operations: ['95-74=21'] Exploring Operation: 53-12=41, Resulting Numbers: [21, 41] Generated Node #3: [21, 41] from Operation: 53-12=41 Current State: 62:[21, 41], Operations: ['95-74=21', '53-12=41'] Exploring Operation: 21+41=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 15, 26, 91, 58 ]
22
[ "26-15=11", "91-58=33", "33-11=22" ]
Current State: 22:[15, 26, 91, 58], Operations: [] Exploring Operation: 26-15=11, Resulting Numbers: [91, 58, 11] Generated Node #2: [91, 58, 11] from Operation: 26-15=11 Current State: 22:[91, 58, 11], Operations: ['26-15=11'] Exploring Operation: 91-58=33, Resulting Numbers: [11, 33] Generated Node #3: [11, 33] from Operation: 91-58=33 Current State: 22:[11, 33], Operations: ['26-15=11', '91-58=33'] Exploring Operation: 33-11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 42, 76, 83, 79 ]
85
[ "83-76=7", "42/7=6", "79+6=85" ]
Current State: 85:[42, 76, 83, 79], Operations: [] Exploring Operation: 83-76=7, Resulting Numbers: [42, 79, 7] Generated Node #2: [42, 79, 7] from Operation: 83-76=7 Current State: 85:[42, 79, 7], Operations: ['83-76=7'] Exploring Operation: 42/7=6, Resulting Numbers: [79, 6] Generated Node #3: [79, 6] from Operation: 42/7=6 Current State: 85:[79, 6], Operations: ['83-76=7', '42/7=6'] Exploring Operation: 79+6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 21, 51, 31, 82 ]
82
[ "51-21=30", "31-30=1", "82*1=82" ]
Current State: 82:[21, 51, 31, 82], Operations: [] Exploring Operation: 51-21=30, Resulting Numbers: [31, 82, 30] Generated Node #2: [31, 82, 30] from Operation: 51-21=30 Current State: 82:[31, 82, 30], Operations: ['51-21=30'] Exploring Operation: 31-30=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 31-30=1 Current State: 82:[82, 1], Operations: ['51-21=30', '31-30=1'] Exploring Operation: 82*1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 3, 60, 48, 61 ]
51
[ "3+48=51", "61-60=1", "51*1=51" ]
Current State: 51:[3, 60, 48, 61], Operations: [] Exploring Operation: 3+48=51, Resulting Numbers: [60, 61, 51] Generated Node #2: [60, 61, 51] from Operation: 3+48=51 Current State: 51:[60, 61, 51], Operations: ['3+48=51'] Exploring Operation: 61-60=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 61-60=1 Current State: 51:[51, 1], Operations: ['3+48=51', '61-60=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 99, 23, 88, 30 ]
42
[ "99-23=76", "88+30=118", "118-76=42" ]
Current State: 42:[99, 23, 88, 30], Operations: [] Exploring Operation: 99-23=76, Resulting Numbers: [88, 30, 76] Generated Node #2: [88, 30, 76] from Operation: 99-23=76 Current State: 42:[88, 30, 76], Operations: ['99-23=76'] Exploring Operation: 88+30=118, Resulting Numbers: [76, 118] Generated Node #3: [76, 118] from Operation: 88+30=118 Current State: 42:[76, 118], Operations: ['99-23=76', '88+30=118'] Exploring Operation: 118-76=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 53, 49, 50, 5 ]
14
[ "53-49=4", "50/5=10", "4+10=14" ]
Current State: 14:[53, 49, 50, 5], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [50, 5, 4] Generated Node #2: [50, 5, 4] from Operation: 53-49=4 Current State: 14:[50, 5, 4], Operations: ['53-49=4'] Exploring Operation: 50/5=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 50/5=10 Current State: 14:[4, 10], Operations: ['53-49=4', '50/5=10'] Exploring Operation: 4+10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 6, 6, 81, 78 ]
78
[ "6-6=0", "81*0=0", "78+0=78" ]
Current State: 78:[6, 6, 81, 78], Operations: [] Exploring Operation: 6-6=0, Resulting Numbers: [81, 78, 0] Generated Node #2: [81, 78, 0] from Operation: 6-6=0 Current State: 78:[81, 78, 0], Operations: ['6-6=0'] Exploring Operation: 81*0=0, Resulting Numbers: [78, 0] Generated Node #3: [78, 0] from Operation: 81*0=0 Current State: 78:[78, 0], Operations: ['6-6=0', '81*0=0'] Exploring Operation: 78+0=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 51, 14, 11, 80 ]
28
[ "51-11=40", "14*80=1120", "1120/40=28" ]
Current State: 28:[51, 14, 11, 80], Operations: [] Exploring Operation: 51-11=40, Resulting Numbers: [14, 80, 40] Generated Node #2: [14, 80, 40] from Operation: 51-11=40 Current State: 28:[14, 80, 40], Operations: ['51-11=40'] Exploring Operation: 14*80=1120, Resulting Numbers: [40, 1120] Generated Node #3: [40, 1120] from Operation: 14*80=1120 Current State: 28:[40, 1120], Operations: ['51-11=40', '14*80=1120'] Exploring Operation: 1120/40=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 10, 29, 83, 19 ]
84
[ "29-10=19", "19/19=1", "83+1=84" ]
Current State: 84:[10, 29, 83, 19], Operations: [] Exploring Operation: 29-10=19, Resulting Numbers: [83, 19, 19] Generated Node #2: [83, 19, 19] from Operation: 29-10=19 Current State: 84:[83, 19, 19], Operations: ['29-10=19'] Exploring Operation: 19/19=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 19/19=1 Current State: 84:[83, 1], Operations: ['29-10=19', '19/19=1'] Exploring Operation: 83+1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 50, 69, 6, 31 ]
83
[ "69-50=19", "6*19=114", "114-31=83" ]
Current State: 83:[50, 69, 6, 31], Operations: [] Exploring Operation: 69-50=19, Resulting Numbers: [6, 31, 19] Generated Node #2: [6, 31, 19] from Operation: 69-50=19 Current State: 83:[6, 31, 19], Operations: ['69-50=19'] Exploring Operation: 6*19=114, Resulting Numbers: [31, 114] Generated Node #3: [31, 114] from Operation: 6*19=114 Current State: 83:[31, 114], Operations: ['69-50=19', '6*19=114'] Exploring Operation: 114-31=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 79, 5, 36, 4 ]
87
[ "36+4=40", "40/5=8", "79+8=87" ]
Current State: 87:[79, 5, 36, 4], Operations: [] Exploring Operation: 36+4=40, Resulting Numbers: [79, 5, 40] Generated Node #2: [79, 5, 40] from Operation: 36+4=40 Current State: 87:[79, 5, 40], Operations: ['36+4=40'] Exploring Operation: 40/5=8, Resulting Numbers: [79, 8] Generated Node #3: [79, 8] from Operation: 40/5=8 Current State: 87:[79, 8], Operations: ['36+4=40', '40/5=8'] Exploring Operation: 79+8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4