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
[ 3, 8, 18, 16 ]
12
[ "3*8=24", "18*16=288", "288/24=12" ]
Current State: 12:[3, 8, 18, 16], Operations: [] Exploring Operation: 3*8=24, Resulting Numbers: [18, 16, 24] Generated Node #2: [18, 16, 24] from Operation: 3*8=24 Current State: 12:[18, 16, 24], Operations: ['3*8=24'] Exploring Operation: 18*16=288, Resulting Numbers: [24, 288] Generated Node #3: [24, 288] from Operation: 18*16=288 Current State: 12:[24, 288], Operations: ['3*8=24', '18*16=288'] Exploring Operation: 288/24=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 46, 40, 37, 38 ]
100
[ "40-37=3", "46*3=138", "138-38=100" ]
Current State: 100:[46, 40, 37, 38], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [46, 38, 3] Generated Node #2: [46, 38, 3] from Operation: 40-37=3 Current State: 100:[46, 38, 3], Operations: ['40-37=3'] Exploring Operation: 46*3=138, Resulting Numbers: [38, 138] Generated Node #3: [38, 138] from Operation: 46*3=138 Current State: 100:[38, 138], Operations: ['40-37=3', '46*3=138'] Exploring Operation: 138-38=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 89, 32, 86, 52 ]
81
[ "89-32=57", "86+52=138", "138-57=81" ]
Current State: 81:[89, 32, 86, 52], Operations: [] Exploring Operation: 89-32=57, Resulting Numbers: [86, 52, 57] Generated Node #2: [86, 52, 57] from Operation: 89-32=57 Current State: 81:[86, 52, 57], Operations: ['89-32=57'] Exploring Operation: 86+52=138, Resulting Numbers: [57, 138] Generated Node #3: [57, 138] from Operation: 86+52=138 Current State: 81:[57, 138], Operations: ['89-32=57', '86+52=138'] Exploring Operation: 138-57=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 88, 85, 74, 2 ]
66
[ "85-74=11", "2*11=22", "88-22=66" ]
Current State: 66:[88, 85, 74, 2], Operations: [] Exploring Operation: 85-74=11, Resulting Numbers: [88, 2, 11] Generated Node #2: [88, 2, 11] from Operation: 85-74=11 Current State: 66:[88, 2, 11], Operations: ['85-74=11'] Exploring Operation: 2*11=22, Resulting Numbers: [88, 22] Generated Node #3: [88, 22] from Operation: 2*11=22 Current State: 66:[88, 22], Operations: ['85-74=11', '2*11=22'] Exploring Operation: 88-22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 36, 64, 4, 74 ]
22
[ "36+64=100", "4+74=78", "100-78=22" ]
Current State: 22:[36, 64, 4, 74], Operations: [] Exploring Operation: 36+64=100, Resulting Numbers: [4, 74, 100] Generated Node #2: [4, 74, 100] from Operation: 36+64=100 Current State: 22:[4, 74, 100], Operations: ['36+64=100'] Exploring Operation: 4+74=78, Resulting Numbers: [100, 78] Generated Node #3: [100, 78] from Operation: 4+74=78 Current State: 22:[100, 78], Operations: ['36+64=100', '4+74=78'] Exploring Operation: 100-78=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 9, 8, 17, 42 ]
97
[ "9*8=72", "42-17=25", "72+25=97" ]
Current State: 97:[9, 8, 17, 42], Operations: [] Exploring Operation: 9*8=72, Resulting Numbers: [17, 42, 72] Generated Node #2: [17, 42, 72] from Operation: 9*8=72 Current State: 97:[17, 42, 72], Operations: ['9*8=72'] Exploring Operation: 42-17=25, Resulting Numbers: [72, 25] Generated Node #3: [72, 25] from Operation: 42-17=25 Current State: 97:[72, 25], Operations: ['9*8=72', '42-17=25'] Exploring Operation: 72+25=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 90, 10, 48, 88 ]
31
[ "90/10=9", "88-48=40", "40-9=31" ]
Current State: 31:[90, 10, 48, 88], Operations: [] Exploring Operation: 90/10=9, Resulting Numbers: [48, 88, 9] Generated Node #2: [48, 88, 9] from Operation: 90/10=9 Current State: 31:[48, 88, 9], Operations: ['90/10=9'] Exploring Operation: 88-48=40, Resulting Numbers: [9, 40] Generated Node #3: [9, 40] from Operation: 88-48=40 Current State: 31:[9, 40], Operations: ['90/10=9', '88-48=40'] Exploring Operation: 40-9=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 4, 57, 58, 71 ]
48
[ "4+57=61", "71-58=13", "61-13=48" ]
Current State: 48:[4, 57, 58, 71], Operations: [] Exploring Operation: 4+57=61, Resulting Numbers: [58, 71, 61] Generated Node #2: [58, 71, 61] from Operation: 4+57=61 Current State: 48:[58, 71, 61], Operations: ['4+57=61'] Exploring Operation: 71-58=13, Resulting Numbers: [61, 13] Generated Node #3: [61, 13] from Operation: 71-58=13 Current State: 48:[61, 13], Operations: ['4+57=61', '71-58=13'] Exploring Operation: 61-13=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 40, 6, 57, 55 ]
10
[ "40+55=95", "6*95=570", "570/57=10" ]
Current State: 10:[40, 6, 57, 55], Operations: [] Exploring Operation: 40+55=95, Resulting Numbers: [6, 57, 95] Generated Node #2: [6, 57, 95] from Operation: 40+55=95 Current State: 10:[6, 57, 95], Operations: ['40+55=95'] Exploring Operation: 6*95=570, Resulting Numbers: [57, 570] Generated Node #3: [57, 570] from Operation: 6*95=570 Current State: 10:[57, 570], Operations: ['40+55=95', '6*95=570'] Exploring Operation: 570/57=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 57, 36, 73, 79 ]
87
[ "57+36=93", "79-73=6", "93-6=87" ]
Current State: 87:[57, 36, 73, 79], Operations: [] Exploring Operation: 57+36=93, Resulting Numbers: [73, 79, 93] Generated Node #2: [73, 79, 93] from Operation: 57+36=93 Current State: 87:[73, 79, 93], Operations: ['57+36=93'] Exploring Operation: 79-73=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 79-73=6 Current State: 87:[93, 6], Operations: ['57+36=93', '79-73=6'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 79, 26, 92, 21 ]
23
[ "92-79=13", "26/13=2", "21+2=23" ]
Current State: 23:[79, 26, 92, 21], Operations: [] Exploring Operation: 92-79=13, Resulting Numbers: [26, 21, 13] Generated Node #2: [26, 21, 13] from Operation: 92-79=13 Current State: 23:[26, 21, 13], Operations: ['92-79=13'] Exploring Operation: 26/13=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 26/13=2 Current State: 23:[21, 2], Operations: ['92-79=13', '26/13=2'] Exploring Operation: 21+2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 45, 60, 2, 87 ]
78
[ "87-45=42", "60*2=120", "120-42=78" ]
Current State: 78:[45, 60, 2, 87], Operations: [] Exploring Operation: 87-45=42, Resulting Numbers: [60, 2, 42] Generated Node #2: [60, 2, 42] from Operation: 87-45=42 Current State: 78:[60, 2, 42], Operations: ['87-45=42'] Exploring Operation: 60*2=120, Resulting Numbers: [42, 120] Generated Node #3: [42, 120] from Operation: 60*2=120 Current State: 78:[42, 120], Operations: ['87-45=42', '60*2=120'] Exploring Operation: 120-42=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 80, 76, 37, 3 ]
53
[ "80-37=43", "3*43=129", "129-76=53" ]
Current State: 53:[80, 76, 37, 3], Operations: [] Exploring Operation: 80-37=43, Resulting Numbers: [76, 3, 43] Generated Node #2: [76, 3, 43] from Operation: 80-37=43 Current State: 53:[76, 3, 43], Operations: ['80-37=43'] Exploring Operation: 3*43=129, Resulting Numbers: [76, 129] Generated Node #3: [76, 129] from Operation: 3*43=129 Current State: 53:[76, 129], Operations: ['80-37=43', '3*43=129'] Exploring Operation: 129-76=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 26, 56, 45, 54 ]
39
[ "56-26=30", "54-45=9", "30+9=39" ]
Current State: 39:[26, 56, 45, 54], Operations: [] Exploring Operation: 56-26=30, Resulting Numbers: [45, 54, 30] Generated Node #2: [45, 54, 30] from Operation: 56-26=30 Current State: 39:[45, 54, 30], Operations: ['56-26=30'] Exploring Operation: 54-45=9, Resulting Numbers: [30, 9] Generated Node #3: [30, 9] from Operation: 54-45=9 Current State: 39:[30, 9], Operations: ['56-26=30', '54-45=9'] Exploring Operation: 30+9=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 61, 40, 29, 97 ]
33
[ "61+40=101", "97-29=68", "101-68=33" ]
Current State: 33:[61, 40, 29, 97], Operations: [] Exploring Operation: 61+40=101, Resulting Numbers: [29, 97, 101] Generated Node #2: [29, 97, 101] from Operation: 61+40=101 Current State: 33:[29, 97, 101], Operations: ['61+40=101'] Exploring Operation: 97-29=68, Resulting Numbers: [101, 68] Generated Node #3: [101, 68] from Operation: 97-29=68 Current State: 33:[101, 68], Operations: ['61+40=101', '97-29=68'] Exploring Operation: 101-68=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 68, 43, 43, 5 ]
68
[ "43-43=0", "5*0=0", "68+0=68" ]
Current State: 68:[68, 43, 43, 5], Operations: [] Exploring Operation: 43-43=0, Resulting Numbers: [68, 5, 0] Generated Node #2: [68, 5, 0] from Operation: 43-43=0 Current State: 68:[68, 5, 0], Operations: ['43-43=0'] Exploring Operation: 5*0=0, Resulting Numbers: [68, 0] Generated Node #3: [68, 0] from Operation: 5*0=0 Current State: 68:[68, 0], Operations: ['43-43=0', '5*0=0'] Exploring Operation: 68+0=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 60, 7, 76, 70 ]
60
[ "76-7=69", "70-69=1", "60*1=60" ]
Current State: 60:[60, 7, 76, 70], Operations: [] Exploring Operation: 76-7=69, Resulting Numbers: [60, 70, 69] Generated Node #2: [60, 70, 69] from Operation: 76-7=69 Current State: 60:[60, 70, 69], Operations: ['76-7=69'] Exploring Operation: 70-69=1, Resulting Numbers: [60, 1] Generated Node #3: [60, 1] from Operation: 70-69=1 Current State: 60:[60, 1], Operations: ['76-7=69', '70-69=1'] Exploring Operation: 60*1=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 29, 36, 60, 58 ]
43
[ "60-58=2", "36*2=72", "72-29=43" ]
Current State: 43:[29, 36, 60, 58], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [29, 36, 2] Generated Node #2: [29, 36, 2] from Operation: 60-58=2 Current State: 43:[29, 36, 2], Operations: ['60-58=2'] Exploring Operation: 36*2=72, Resulting Numbers: [29, 72] Generated Node #3: [29, 72] from Operation: 36*2=72 Current State: 43:[29, 72], Operations: ['60-58=2', '36*2=72'] Exploring Operation: 72-29=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 12, 58, 2, 2 ]
94
[ "58-12=46", "2*46=92", "2+92=94" ]
Current State: 94:[12, 58, 2, 2], Operations: [] Exploring Operation: 58-12=46, Resulting Numbers: [2, 2, 46] Generated Node #2: [2, 2, 46] from Operation: 58-12=46 Current State: 94:[2, 2, 46], Operations: ['58-12=46'] Exploring Operation: 2*46=92, Resulting Numbers: [92] 92,94 equal: Goal Reached Exploring Operation: 2+92=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 95, 17, 9, 18 ]
87
[ "95-17=78", "18-9=9", "78+9=87" ]
Current State: 87:[95, 17, 9, 18], Operations: [] Exploring Operation: 95-17=78, Resulting Numbers: [9, 18, 78] Generated Node #2: [9, 18, 78] from Operation: 95-17=78 Current State: 87:[9, 18, 78], Operations: ['95-17=78'] Exploring Operation: 18-9=9, Resulting Numbers: [78, 9] Generated Node #3: [78, 9] from Operation: 18-9=9 Current State: 87:[78, 9], Operations: ['95-17=78', '18-9=9'] Exploring Operation: 78+9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 94, 42, 99, 92 ]
78
[ "94-92=2", "42/2=21", "99-21=78" ]
Current State: 78:[94, 42, 99, 92], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [42, 99, 2] Generated Node #2: [42, 99, 2] from Operation: 94-92=2 Current State: 78:[42, 99, 2], Operations: ['94-92=2'] Exploring Operation: 42/2=21, Resulting Numbers: [99, 21] Generated Node #3: [99, 21] from Operation: 42/2=21 Current State: 78:[99, 21], Operations: ['94-92=2', '42/2=21'] Exploring Operation: 99-21=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 6, 80, 25, 30 ]
21
[ "30/6=5", "80+25=105", "105/5=21" ]
Current State: 21:[6, 80, 25, 30], Operations: [] Exploring Operation: 30/6=5, Resulting Numbers: [80, 25, 5] Generated Node #2: [80, 25, 5] from Operation: 30/6=5 Current State: 21:[80, 25, 5], Operations: ['30/6=5'] Exploring Operation: 80+25=105, Resulting Numbers: [5, 105] Generated Node #3: [5, 105] from Operation: 80+25=105 Current State: 21:[5, 105], Operations: ['30/6=5', '80+25=105'] Exploring Operation: 105/5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 95, 28, 38 ]
87
[ "2+95=97", "38-28=10", "97-10=87" ]
Current State: 87:[2, 95, 28, 38], Operations: [] Exploring Operation: 2+95=97, Resulting Numbers: [28, 38, 97] Generated Node #2: [28, 38, 97] from Operation: 2+95=97 Current State: 87:[28, 38, 97], Operations: ['2+95=97'] Exploring Operation: 38-28=10, Resulting Numbers: [97, 10] Generated Node #3: [97, 10] from Operation: 38-28=10 Current State: 87:[97, 10], Operations: ['2+95=97', '38-28=10'] Exploring Operation: 97-10=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 72, 24, 47, 25 ]
69
[ "72/24=3", "47+25=72", "72-3=69" ]
Current State: 69:[72, 24, 47, 25], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [47, 25, 3] Generated Node #2: [47, 25, 3] from Operation: 72/24=3 Current State: 69:[47, 25, 3], Operations: ['72/24=3'] Exploring Operation: 47+25=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 47+25=72 Current State: 69:[3, 72], Operations: ['72/24=3', '47+25=72'] Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 5, 8, 4, 35 ]
37
[ "5+4=9", "8*9=72", "72-35=37" ]
Current State: 37:[5, 8, 4, 35], Operations: [] Exploring Operation: 5+4=9, Resulting Numbers: [8, 35, 9] Generated Node #2: [8, 35, 9] from Operation: 5+4=9 Current State: 37:[8, 35, 9], Operations: ['5+4=9'] Exploring Operation: 8*9=72, Resulting Numbers: [35, 72] Generated Node #3: [35, 72] from Operation: 8*9=72 Current State: 37:[35, 72], Operations: ['5+4=9', '8*9=72'] Exploring Operation: 72-35=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 38, 21, 36, 27 ]
15
[ "38-36=2", "21*2=42", "42-27=15" ]
Current State: 15:[38, 21, 36, 27], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [21, 27, 2] Generated Node #2: [21, 27, 2] from Operation: 38-36=2 Current State: 15:[21, 27, 2], Operations: ['38-36=2'] Exploring Operation: 21*2=42, Resulting Numbers: [27, 42] Generated Node #3: [27, 42] from Operation: 21*2=42 Current State: 15:[27, 42], Operations: ['38-36=2', '21*2=42'] Exploring Operation: 42-27=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 15, 15, 3, 78 ]
26
[ "15-15=0", "78/3=26", "0+26=26" ]
Current State: 26:[15, 15, 3, 78], Operations: [] Exploring Operation: 15-15=0, Resulting Numbers: [3, 78, 0] Generated Node #2: [3, 78, 0] from Operation: 15-15=0 Current State: 26:[3, 78, 0], Operations: ['15-15=0'] Exploring Operation: 78/3=26, Resulting Numbers: [0, 26] Generated Node #3: [0, 26] from Operation: 78/3=26 Current State: 26:[0, 26], Operations: ['15-15=0', '78/3=26'] Exploring Operation: 0+26=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 30, 39, 39, 10 ]
81
[ "30/10=3", "39+39=78", "3+78=81" ]
Current State: 81:[30, 39, 39, 10], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [39, 39, 3] Generated Node #2: [39, 39, 3] from Operation: 30/10=3 Current State: 81:[39, 39, 3], Operations: ['30/10=3'] Exploring Operation: 39+39=78, Resulting Numbers: [3, 78] Generated Node #3: [3, 78] from Operation: 39+39=78 Current State: 81:[3, 78], Operations: ['30/10=3', '39+39=78'] Exploring Operation: 3+78=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 3, 28, 1, 65 ]
41
[ "28-3=25", "1+65=66", "66-25=41" ]
Current State: 41:[3, 28, 1, 65], Operations: [] Exploring Operation: 28-3=25, Resulting Numbers: [1, 65, 25] Generated Node #2: [1, 65, 25] from Operation: 28-3=25 Current State: 41:[1, 65, 25], Operations: ['28-3=25'] Exploring Operation: 1+65=66, Resulting Numbers: [25, 66] Generated Node #3: [25, 66] from Operation: 1+65=66 Current State: 41:[25, 66], Operations: ['28-3=25', '1+65=66'] Exploring Operation: 66-25=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 46, 17, 3, 91 ]
10
[ "17+91=108", "108/3=36", "46-36=10" ]
Current State: 10:[46, 17, 3, 91], Operations: [] Exploring Operation: 17+91=108, Resulting Numbers: [46, 3, 108] Generated Node #2: [46, 3, 108] from Operation: 17+91=108 Current State: 10:[46, 3, 108], Operations: ['17+91=108'] Exploring Operation: 108/3=36, Resulting Numbers: [46, 36] Generated Node #3: [46, 36] from Operation: 108/3=36 Current State: 10:[46, 36], Operations: ['17+91=108', '108/3=36'] Exploring Operation: 46-36=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 63, 27, 13, 72 ]
18
[ "63+72=135", "135/27=5", "13+5=18" ]
Current State: 18:[63, 27, 13, 72], Operations: [] Exploring Operation: 63+72=135, Resulting Numbers: [27, 13, 135] Generated Node #2: [27, 13, 135] from Operation: 63+72=135 Current State: 18:[27, 13, 135], Operations: ['63+72=135'] Exploring Operation: 135/27=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 135/27=5 Current State: 18:[13, 5], Operations: ['63+72=135', '135/27=5'] Exploring Operation: 13+5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 43, 47, 95, 45 ]
93
[ "43+47=90", "90/45=2", "95-2=93" ]
Current State: 93:[43, 47, 95, 45], Operations: [] Exploring Operation: 43+47=90, Resulting Numbers: [95, 45, 90] Generated Node #2: [95, 45, 90] from Operation: 43+47=90 Current State: 93:[95, 45, 90], Operations: ['43+47=90'] Exploring Operation: 90/45=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 90/45=2 Current State: 93:[95, 2], Operations: ['43+47=90', '90/45=2'] Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 97, 38, 63, 41 ]
37
[ "97-38=59", "63-41=22", "59-22=37" ]
Current State: 37:[97, 38, 63, 41], Operations: [] Exploring Operation: 97-38=59, Resulting Numbers: [63, 41, 59] Generated Node #2: [63, 41, 59] from Operation: 97-38=59 Current State: 37:[63, 41, 59], Operations: ['97-38=59'] Exploring Operation: 63-41=22, Resulting Numbers: [59, 22] Generated Node #3: [59, 22] from Operation: 63-41=22 Current State: 37:[59, 22], Operations: ['97-38=59', '63-41=22'] Exploring Operation: 59-22=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 5, 3, 30 ]
62
[ "2*30=60", "5-3=2", "60+2=62" ]
Current State: 62:[2, 5, 3, 30], Operations: [] Exploring Operation: 2*30=60, Resulting Numbers: [5, 3, 60] Generated Node #2: [5, 3, 60] from Operation: 2*30=60 Current State: 62:[5, 3, 60], Operations: ['2*30=60'] Exploring Operation: 5-3=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 5-3=2 Current State: 62:[60, 2], Operations: ['2*30=60', '5-3=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 30, 13, 46, 34 ]
31
[ "30+13=43", "46-34=12", "43-12=31" ]
Current State: 31:[30, 13, 46, 34], Operations: [] Exploring Operation: 30+13=43, Resulting Numbers: [46, 34, 43] Generated Node #2: [46, 34, 43] from Operation: 30+13=43 Current State: 31:[46, 34, 43], Operations: ['30+13=43'] Exploring Operation: 46-34=12, Resulting Numbers: [43, 12] Generated Node #3: [43, 12] from Operation: 46-34=12 Current State: 31:[43, 12], Operations: ['30+13=43', '46-34=12'] Exploring Operation: 43-12=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 30, 10, 22, 91 ]
72
[ "30/10=3", "91-22=69", "3+69=72" ]
Current State: 72:[30, 10, 22, 91], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [22, 91, 3] Generated Node #2: [22, 91, 3] from Operation: 30/10=3 Current State: 72:[22, 91, 3], Operations: ['30/10=3'] Exploring Operation: 91-22=69, Resulting Numbers: [3, 69] Generated Node #3: [3, 69] from Operation: 91-22=69 Current State: 72:[3, 69], Operations: ['30/10=3', '91-22=69'] Exploring Operation: 3+69=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 26, 28, 33, 99 ]
31
[ "33-28=5", "26*5=130", "130-99=31" ]
Current State: 31:[26, 28, 33, 99], Operations: [] Exploring Operation: 33-28=5, Resulting Numbers: [26, 99, 5] Generated Node #2: [26, 99, 5] from Operation: 33-28=5 Current State: 31:[26, 99, 5], Operations: ['33-28=5'] Exploring Operation: 26*5=130, Resulting Numbers: [99, 130] Generated Node #3: [99, 130] from Operation: 26*5=130 Current State: 31:[99, 130], Operations: ['33-28=5', '26*5=130'] Exploring Operation: 130-99=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 79, 33, 20, 21 ]
46
[ "79-33=46", "21-20=1", "46*1=46" ]
Current State: 46:[79, 33, 20, 21], Operations: [] Exploring Operation: 79-33=46, Resulting Numbers: [20, 21, 46] Generated Node #2: [20, 21, 46] from Operation: 79-33=46 Current State: 46:[20, 21, 46], Operations: ['79-33=46'] Exploring Operation: 21-20=1, Resulting Numbers: [46, 1] Generated Node #3: [46, 1] from Operation: 21-20=1 Current State: 46:[46, 1], Operations: ['79-33=46', '21-20=1'] Exploring Operation: 46*1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 80, 50, 13, 58 ]
85
[ "80+50=130", "58-13=45", "130-45=85" ]
Current State: 85:[80, 50, 13, 58], Operations: [] Exploring Operation: 80+50=130, Resulting Numbers: [13, 58, 130] Generated Node #2: [13, 58, 130] from Operation: 80+50=130 Current State: 85:[13, 58, 130], Operations: ['80+50=130'] Exploring Operation: 58-13=45, Resulting Numbers: [130, 45] Generated Node #3: [130, 45] from Operation: 58-13=45 Current State: 85:[130, 45], Operations: ['80+50=130', '58-13=45'] Exploring Operation: 130-45=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 74, 87, 87, 36 ]
36
[ "87-87=0", "74*0=0", "36+0=36" ]
Current State: 36:[74, 87, 87, 36], Operations: [] Exploring Operation: 87-87=0, Resulting Numbers: [74, 36, 0] Generated Node #2: [74, 36, 0] from Operation: 87-87=0 Current State: 36:[74, 36, 0], Operations: ['87-87=0'] Exploring Operation: 74*0=0, Resulting Numbers: [36, 0] Generated Node #3: [36, 0] from Operation: 74*0=0 Current State: 36:[36, 0], Operations: ['87-87=0', '74*0=0'] Exploring Operation: 36+0=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 68, 25, 63, 22 ]
47
[ "25-22=3", "63/3=21", "68-21=47" ]
Current State: 47:[68, 25, 63, 22], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [68, 63, 3] Generated Node #2: [68, 63, 3] from Operation: 25-22=3 Current State: 47:[68, 63, 3], Operations: ['25-22=3'] Exploring Operation: 63/3=21, Resulting Numbers: [68, 21] Generated Node #3: [68, 21] from Operation: 63/3=21 Current State: 47:[68, 21], Operations: ['25-22=3', '63/3=21'] Exploring Operation: 68-21=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 69, 73, 28, 81 ]
57
[ "73-69=4", "81-28=53", "4+53=57" ]
Current State: 57:[69, 73, 28, 81], Operations: [] Exploring Operation: 73-69=4, Resulting Numbers: [28, 81, 4] Generated Node #2: [28, 81, 4] from Operation: 73-69=4 Current State: 57:[28, 81, 4], Operations: ['73-69=4'] Exploring Operation: 81-28=53, Resulting Numbers: [4, 53] Generated Node #3: [4, 53] from Operation: 81-28=53 Current State: 57:[4, 53], Operations: ['73-69=4', '81-28=53'] Exploring Operation: 4+53=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 59, 17, 50, 64 ]
35
[ "64-59=5", "17*5=85", "85-50=35" ]
Current State: 35:[59, 17, 50, 64], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [17, 50, 5] Generated Node #2: [17, 50, 5] from Operation: 64-59=5 Current State: 35:[17, 50, 5], Operations: ['64-59=5'] Exploring Operation: 17*5=85, Resulting Numbers: [50, 85] Generated Node #3: [50, 85] from Operation: 17*5=85 Current State: 35:[50, 85], Operations: ['64-59=5', '17*5=85'] Exploring Operation: 85-50=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 63, 20, 1, 95 ]
51
[ "63-20=43", "95-1=94", "94-43=51" ]
Current State: 51:[63, 20, 1, 95], Operations: [] Exploring Operation: 63-20=43, Resulting Numbers: [1, 95, 43] Generated Node #2: [1, 95, 43] from Operation: 63-20=43 Current State: 51:[1, 95, 43], Operations: ['63-20=43'] Exploring Operation: 95-1=94, Resulting Numbers: [43, 94] Generated Node #3: [43, 94] from Operation: 95-1=94 Current State: 51:[43, 94], Operations: ['63-20=43', '95-1=94'] Exploring Operation: 94-43=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 10, 4, 81, 75 ]
12
[ "10-4=6", "81-75=6", "6+6=12" ]
Current State: 12:[10, 4, 81, 75], Operations: [] Exploring Operation: 10-4=6, Resulting Numbers: [81, 75, 6] Generated Node #2: [81, 75, 6] from Operation: 10-4=6 Current State: 12:[81, 75, 6], Operations: ['10-4=6'] Exploring Operation: 81-75=6, Resulting Numbers: [6, 6] Generated Node #3: [6, 6] from Operation: 81-75=6 Current State: 12:[6, 6], Operations: ['10-4=6', '81-75=6'] Exploring Operation: 6+6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 91, 78, 33, 84 ]
52
[ "91+78=169", "33+84=117", "169-117=52" ]
Current State: 52:[91, 78, 33, 84], Operations: [] Exploring Operation: 91+78=169, Resulting Numbers: [33, 84, 169] Generated Node #2: [33, 84, 169] from Operation: 91+78=169 Current State: 52:[33, 84, 169], Operations: ['91+78=169'] Exploring Operation: 33+84=117, Resulting Numbers: [169, 117] Generated Node #3: [169, 117] from Operation: 33+84=117 Current State: 52:[169, 117], Operations: ['91+78=169', '33+84=117'] Exploring Operation: 169-117=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 45, 17, 4, 15 ]
56
[ "45/15=3", "17-3=14", "4*14=56" ]
Current State: 56:[45, 17, 4, 15], Operations: [] Exploring Operation: 45/15=3, Resulting Numbers: [17, 4, 3] Generated Node #2: [17, 4, 3] from Operation: 45/15=3 Current State: 56:[17, 4, 3], Operations: ['45/15=3'] Exploring Operation: 17-3=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 17-3=14 Current State: 56:[4, 14], Operations: ['45/15=3', '17-3=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 76, 4, 70, 73 ]
97
[ "76-70=6", "4*6=24", "73+24=97" ]
Current State: 97:[76, 4, 70, 73], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [4, 73, 6] Generated Node #2: [4, 73, 6] from Operation: 76-70=6 Current State: 97:[4, 73, 6], Operations: ['76-70=6'] Exploring Operation: 4*6=24, Resulting Numbers: [73, 24] Generated Node #3: [73, 24] from Operation: 4*6=24 Current State: 97:[73, 24], Operations: ['76-70=6', '4*6=24'] Exploring Operation: 73+24=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 46, 64, 80, 45 ]
16
[ "46-45=1", "80-64=16", "1*16=16" ]
Current State: 16:[46, 64, 80, 45], Operations: [] Exploring Operation: 46-45=1, Resulting Numbers: [64, 80, 1] Generated Node #2: [64, 80, 1] from Operation: 46-45=1 Current State: 16:[64, 80, 1], Operations: ['46-45=1'] Exploring Operation: 80-64=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 80-64=16 Current State: 16:[1, 16], Operations: ['46-45=1', '80-64=16'] Exploring Operation: 1*16=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 52, 3, 30, 15 ]
64
[ "52-3=49", "30-15=15", "49+15=64" ]
Current State: 64:[52, 3, 30, 15], Operations: [] Exploring Operation: 52-3=49, Resulting Numbers: [30, 15, 49] Generated Node #2: [30, 15, 49] from Operation: 52-3=49 Current State: 64:[30, 15, 49], Operations: ['52-3=49'] Exploring Operation: 30-15=15, Resulting Numbers: [49, 15] Generated Node #3: [49, 15] from Operation: 30-15=15 Current State: 64:[49, 15], Operations: ['52-3=49', '30-15=15'] Exploring Operation: 49+15=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 2, 43, 13, 23 ]
38
[ "43-13=30", "30/2=15", "23+15=38" ]
Current State: 38:[2, 43, 13, 23], Operations: [] Exploring Operation: 43-13=30, Resulting Numbers: [2, 23, 30] Generated Node #2: [2, 23, 30] from Operation: 43-13=30 Current State: 38:[2, 23, 30], Operations: ['43-13=30'] Exploring Operation: 30/2=15, Resulting Numbers: [23, 15] Generated Node #3: [23, 15] from Operation: 30/2=15 Current State: 38:[23, 15], Operations: ['43-13=30', '30/2=15'] Exploring Operation: 23+15=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 2, 78, 35, 16 ]
64
[ "78/2=39", "39-35=4", "16*4=64" ]
Current State: 64:[2, 78, 35, 16], Operations: [] Exploring Operation: 78/2=39, Resulting Numbers: [35, 16, 39] Generated Node #2: [35, 16, 39] from Operation: 78/2=39 Current State: 64:[35, 16, 39], Operations: ['78/2=39'] Exploring Operation: 39-35=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 39-35=4 Current State: 64:[16, 4], Operations: ['78/2=39', '39-35=4'] Exploring Operation: 16*4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 22, 94, 6, 92 ]
10
[ "94-92=2", "6*2=12", "22-12=10" ]
Current State: 10:[22, 94, 6, 92], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [22, 6, 2] Generated Node #2: [22, 6, 2] from Operation: 94-92=2 Current State: 10:[22, 6, 2], Operations: ['94-92=2'] Exploring Operation: 6*2=12, Resulting Numbers: [22, 12] Generated Node #3: [22, 12] from Operation: 6*2=12 Current State: 10:[22, 12], Operations: ['94-92=2', '6*2=12'] Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 47, 8, 69, 27 ]
81
[ "47-8=39", "69-27=42", "39+42=81" ]
Current State: 81:[47, 8, 69, 27], Operations: [] Exploring Operation: 47-8=39, Resulting Numbers: [69, 27, 39] Generated Node #2: [69, 27, 39] from Operation: 47-8=39 Current State: 81:[69, 27, 39], Operations: ['47-8=39'] Exploring Operation: 69-27=42, Resulting Numbers: [39, 42] Generated Node #3: [39, 42] from Operation: 69-27=42 Current State: 81:[39, 42], Operations: ['47-8=39', '69-27=42'] Exploring Operation: 39+42=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 77, 1, 81, 96 ]
61
[ "77-1=76", "96-81=15", "76-15=61" ]
Current State: 61:[77, 1, 81, 96], Operations: [] Exploring Operation: 77-1=76, Resulting Numbers: [81, 96, 76] Generated Node #2: [81, 96, 76] from Operation: 77-1=76 Current State: 61:[81, 96, 76], Operations: ['77-1=76'] Exploring Operation: 96-81=15, Resulting Numbers: [76, 15] Generated Node #3: [76, 15] from Operation: 96-81=15 Current State: 61:[76, 15], Operations: ['77-1=76', '96-81=15'] Exploring Operation: 76-15=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 12, 52, 39, 9 ]
39
[ "12-9=3", "52-39=13", "3*13=39" ]
Current State: 39:[12, 52, 39, 9], Operations: [] Exploring Operation: 12-9=3, Resulting Numbers: [52, 39, 3] Generated Node #2: [52, 39, 3] from Operation: 12-9=3 Current State: 39:[52, 39, 3], Operations: ['12-9=3'] Exploring Operation: 52-39=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 52-39=13 Current State: 39:[3, 13], Operations: ['12-9=3', '52-39=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 80, 90, 2, 11 ]
78
[ "90-11=79", "2*79=158", "158-80=78" ]
Current State: 78:[80, 90, 2, 11], Operations: [] Exploring Operation: 90-11=79, Resulting Numbers: [80, 2, 79] Generated Node #2: [80, 2, 79] from Operation: 90-11=79 Current State: 78:[80, 2, 79], Operations: ['90-11=79'] Exploring Operation: 2*79=158, Resulting Numbers: [80, 158] Generated Node #3: [80, 158] from Operation: 2*79=158 Current State: 78:[80, 158], Operations: ['90-11=79', '2*79=158'] Exploring Operation: 158-80=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 91, 96, 96, 48 ]
42
[ "91-48=43", "96/96=1", "43-1=42" ]
Current State: 42:[91, 96, 96, 48], Operations: [] Exploring Operation: 91-48=43, Resulting Numbers: [96, 96, 43] Generated Node #2: [96, 96, 43] from Operation: 91-48=43 Current State: 42:[96, 96, 43], Operations: ['91-48=43'] Exploring Operation: 96/96=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 96/96=1 Current State: 42:[43, 1], Operations: ['91-48=43', '96/96=1'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 5, 13, 37, 77 ]
58
[ "5+13=18", "77-37=40", "18+40=58" ]
Current State: 58:[5, 13, 37, 77], Operations: [] Exploring Operation: 5+13=18, Resulting Numbers: [37, 77, 18] Generated Node #2: [37, 77, 18] from Operation: 5+13=18 Current State: 58:[37, 77, 18], Operations: ['5+13=18'] Exploring Operation: 77-37=40, Resulting Numbers: [18, 40] Generated Node #3: [18, 40] from Operation: 77-37=40 Current State: 58:[18, 40], Operations: ['5+13=18', '77-37=40'] Exploring Operation: 18+40=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 33, 22, 67, 50 ]
72
[ "33+22=55", "67-50=17", "55+17=72" ]
Current State: 72:[33, 22, 67, 50], Operations: [] Exploring Operation: 33+22=55, Resulting Numbers: [67, 50, 55] Generated Node #2: [67, 50, 55] from Operation: 33+22=55 Current State: 72:[67, 50, 55], Operations: ['33+22=55'] Exploring Operation: 67-50=17, Resulting Numbers: [55, 17] Generated Node #3: [55, 17] from Operation: 67-50=17 Current State: 72:[55, 17], Operations: ['33+22=55', '67-50=17'] Exploring Operation: 55+17=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 25, 39, 85, 52 ]
31
[ "25+39=64", "85-52=33", "64-33=31" ]
Current State: 31:[25, 39, 85, 52], Operations: [] Exploring Operation: 25+39=64, Resulting Numbers: [85, 52, 64] Generated Node #2: [85, 52, 64] from Operation: 25+39=64 Current State: 31:[85, 52, 64], Operations: ['25+39=64'] Exploring Operation: 85-52=33, Resulting Numbers: [64, 33] Generated Node #3: [64, 33] from Operation: 85-52=33 Current State: 31:[64, 33], Operations: ['25+39=64', '85-52=33'] Exploring Operation: 64-33=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 2, 32, 79, 16 ]
79
[ "32/2=16", "79+16=95", "95-16=79" ]
Current State: 79:[2, 32, 79, 16], Operations: [] Exploring Operation: 32/2=16, Resulting Numbers: [79, 16, 16] Generated Node #2: [79, 16, 16] from Operation: 32/2=16 Current State: 79:[79, 16, 16], Operations: ['32/2=16'] Exploring Operation: 79+16=95, Resulting Numbers: [95] 95,79 equal: Goal Reached Exploring Operation: 95-16=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 70, 62, 83, 39 ]
88
[ "70+62=132", "83-39=44", "132-44=88" ]
Current State: 88:[70, 62, 83, 39], Operations: [] Exploring Operation: 70+62=132, Resulting Numbers: [83, 39, 132] Generated Node #2: [83, 39, 132] from Operation: 70+62=132 Current State: 88:[83, 39, 132], Operations: ['70+62=132'] Exploring Operation: 83-39=44, Resulting Numbers: [132, 44] Generated Node #3: [132, 44] from Operation: 83-39=44 Current State: 88:[132, 44], Operations: ['70+62=132', '83-39=44'] Exploring Operation: 132-44=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 16, 22, 45, 86 ]
49
[ "86-22=64", "64/16=4", "45+4=49" ]
Current State: 49:[16, 22, 45, 86], Operations: [] Exploring Operation: 86-22=64, Resulting Numbers: [16, 45, 64] Generated Node #2: [16, 45, 64] from Operation: 86-22=64 Current State: 49:[16, 45, 64], Operations: ['86-22=64'] Exploring Operation: 64/16=4, Resulting Numbers: [45, 4] Generated Node #3: [45, 4] from Operation: 64/16=4 Current State: 49:[45, 4], Operations: ['86-22=64', '64/16=4'] Exploring Operation: 45+4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 45, 21, 78, 22 ]
75
[ "45+21=66", "66/22=3", "78-3=75" ]
Current State: 75:[45, 21, 78, 22], Operations: [] Exploring Operation: 45+21=66, Resulting Numbers: [78, 22, 66] Generated Node #2: [78, 22, 66] from Operation: 45+21=66 Current State: 75:[78, 22, 66], Operations: ['45+21=66'] Exploring Operation: 66/22=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 66/22=3 Current State: 75:[78, 3], Operations: ['45+21=66', '66/22=3'] Exploring Operation: 78-3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 34, 56, 75, 68 ]
47
[ "34*56=1904", "1904/68=28", "75-28=47" ]
Current State: 47:[34, 56, 75, 68], Operations: [] Exploring Operation: 34*56=1904, Resulting Numbers: [75, 68, 1904] Generated Node #2: [75, 68, 1904] from Operation: 34*56=1904 Current State: 47:[75, 68, 1904], Operations: ['34*56=1904'] Exploring Operation: 1904/68=28, Resulting Numbers: [75, 28] Generated Node #3: [75, 28] from Operation: 1904/68=28 Current State: 47:[75, 28], Operations: ['34*56=1904', '1904/68=28'] Exploring Operation: 75-28=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 27, 3, 37, 48 ]
18
[ "37-27=10", "3*10=30", "48-30=18" ]
Current State: 18:[27, 3, 37, 48], Operations: [] Exploring Operation: 37-27=10, Resulting Numbers: [3, 48, 10] Generated Node #2: [3, 48, 10] from Operation: 37-27=10 Current State: 18:[3, 48, 10], Operations: ['37-27=10'] Exploring Operation: 3*10=30, Resulting Numbers: [48, 30] Generated Node #3: [48, 30] from Operation: 3*10=30 Current State: 18:[48, 30], Operations: ['37-27=10', '3*10=30'] Exploring Operation: 48-30=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 16, 93, 9, 91 ]
72
[ "16*9=144", "93-91=2", "144/2=72" ]
Current State: 72:[16, 93, 9, 91], Operations: [] Exploring Operation: 16*9=144, Resulting Numbers: [93, 91, 144] Generated Node #2: [93, 91, 144] from Operation: 16*9=144 Current State: 72:[93, 91, 144], Operations: ['16*9=144'] Exploring Operation: 93-91=2, Resulting Numbers: [144, 2] Generated Node #3: [144, 2] from Operation: 93-91=2 Current State: 72:[144, 2], Operations: ['16*9=144', '93-91=2'] Exploring Operation: 144/2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 55, 70, 60, 69 ]
65
[ "70-55=15", "60/15=4", "69-4=65" ]
Current State: 65:[55, 70, 60, 69], Operations: [] Exploring Operation: 70-55=15, Resulting Numbers: [60, 69, 15] Generated Node #2: [60, 69, 15] from Operation: 70-55=15 Current State: 65:[60, 69, 15], Operations: ['70-55=15'] Exploring Operation: 60/15=4, Resulting Numbers: [69, 4] Generated Node #3: [69, 4] from Operation: 60/15=4 Current State: 65:[69, 4], Operations: ['70-55=15', '60/15=4'] Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 92, 60, 19, 7 ]
58
[ "92-60=32", "19+7=26", "32+26=58" ]
Current State: 58:[92, 60, 19, 7], Operations: [] Exploring Operation: 92-60=32, Resulting Numbers: [19, 7, 32] Generated Node #2: [19, 7, 32] from Operation: 92-60=32 Current State: 58:[19, 7, 32], Operations: ['92-60=32'] Exploring Operation: 19+7=26, Resulting Numbers: [32, 26] Generated Node #3: [32, 26] from Operation: 19+7=26 Current State: 58:[32, 26], Operations: ['92-60=32', '19+7=26'] Exploring Operation: 32+26=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 40, 29, 10, 49 ]
74
[ "40/10=4", "29+49=78", "78-4=74" ]
Current State: 74:[40, 29, 10, 49], Operations: [] Exploring Operation: 40/10=4, Resulting Numbers: [29, 49, 4] Generated Node #2: [29, 49, 4] from Operation: 40/10=4 Current State: 74:[29, 49, 4], Operations: ['40/10=4'] Exploring Operation: 29+49=78, Resulting Numbers: [4, 78] Generated Node #3: [4, 78] from Operation: 29+49=78 Current State: 74:[4, 78], Operations: ['40/10=4', '29+49=78'] Exploring Operation: 78-4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 50, 17, 32, 84 ]
15
[ "50+17=67", "84-32=52", "67-52=15" ]
Current State: 15:[50, 17, 32, 84], Operations: [] Exploring Operation: 50+17=67, Resulting Numbers: [32, 84, 67] Generated Node #2: [32, 84, 67] from Operation: 50+17=67 Current State: 15:[32, 84, 67], Operations: ['50+17=67'] Exploring Operation: 84-32=52, Resulting Numbers: [67, 52] Generated Node #3: [67, 52] from Operation: 84-32=52 Current State: 15:[67, 52], Operations: ['50+17=67', '84-32=52'] Exploring Operation: 67-52=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 58, 6, 21, 45 ]
14
[ "58-6=52", "21+45=66", "66-52=14" ]
Current State: 14:[58, 6, 21, 45], Operations: [] Exploring Operation: 58-6=52, Resulting Numbers: [21, 45, 52] Generated Node #2: [21, 45, 52] from Operation: 58-6=52 Current State: 14:[21, 45, 52], Operations: ['58-6=52'] Exploring Operation: 21+45=66, Resulting Numbers: [52, 66] Generated Node #3: [52, 66] from Operation: 21+45=66 Current State: 14:[52, 66], Operations: ['58-6=52', '21+45=66'] Exploring Operation: 66-52=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 36, 98, 19, 19 ]
61
[ "98-36=62", "19/19=1", "62-1=61" ]
Current State: 61:[36, 98, 19, 19], Operations: [] Exploring Operation: 98-36=62, Resulting Numbers: [19, 19, 62] Generated Node #2: [19, 19, 62] from Operation: 98-36=62 Current State: 61:[19, 19, 62], Operations: ['98-36=62'] Exploring Operation: 19/19=1, Resulting Numbers: [62, 1] Generated Node #3: [62, 1] from Operation: 19/19=1 Current State: 61:[62, 1], Operations: ['98-36=62', '19/19=1'] Exploring Operation: 62-1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 24, 59, 8, 4 ]
59
[ "24/8=3", "4-3=1", "59*1=59" ]
Current State: 59:[24, 59, 8, 4], Operations: [] Exploring Operation: 24/8=3, Resulting Numbers: [59, 4, 3] Generated Node #2: [59, 4, 3] from Operation: 24/8=3 Current State: 59:[59, 4, 3], Operations: ['24/8=3'] Exploring Operation: 4-3=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 4-3=1 Current State: 59:[59, 1], Operations: ['24/8=3', '4-3=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 9, 4, 27 ]
54
[ "9-7=2", "4*27=108", "108/2=54" ]
Current State: 54:[7, 9, 4, 27], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [4, 27, 2] Generated Node #2: [4, 27, 2] from Operation: 9-7=2 Current State: 54:[4, 27, 2], Operations: ['9-7=2'] Exploring Operation: 4*27=108, Resulting Numbers: [2, 108] Generated Node #3: [2, 108] from Operation: 4*27=108 Current State: 54:[2, 108], Operations: ['9-7=2', '4*27=108'] Exploring Operation: 108/2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 69, 14, 67, 61 ]
94
[ "69-67=2", "61-14=47", "2*47=94" ]
Current State: 94:[69, 14, 67, 61], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [14, 61, 2] Generated Node #2: [14, 61, 2] from Operation: 69-67=2 Current State: 94:[14, 61, 2], Operations: ['69-67=2'] Exploring Operation: 61-14=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 61-14=47 Current State: 94:[2, 47], Operations: ['69-67=2', '61-14=47'] Exploring Operation: 2*47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 18, 62, 28, 36 ]
16
[ "18+62=80", "28+36=64", "80-64=16" ]
Current State: 16:[18, 62, 28, 36], Operations: [] Exploring Operation: 18+62=80, Resulting Numbers: [28, 36, 80] Generated Node #2: [28, 36, 80] from Operation: 18+62=80 Current State: 16:[28, 36, 80], Operations: ['18+62=80'] Exploring Operation: 28+36=64, Resulting Numbers: [80, 64] Generated Node #3: [80, 64] from Operation: 28+36=64 Current State: 16:[80, 64], Operations: ['18+62=80', '28+36=64'] Exploring Operation: 80-64=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 21, 13, 92, 36 ]
25
[ "36-13=23", "92/23=4", "21+4=25" ]
Current State: 25:[21, 13, 92, 36], Operations: [] Exploring Operation: 36-13=23, Resulting Numbers: [21, 92, 23] Generated Node #2: [21, 92, 23] from Operation: 36-13=23 Current State: 25:[21, 92, 23], Operations: ['36-13=23'] Exploring Operation: 92/23=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 92/23=4 Current State: 25:[21, 4], Operations: ['36-13=23', '92/23=4'] Exploring Operation: 21+4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 7, 80, 84, 98 ]
42
[ "98-80=18", "7*18=126", "126-84=42" ]
Current State: 42:[7, 80, 84, 98], Operations: [] Exploring Operation: 98-80=18, Resulting Numbers: [7, 84, 18] Generated Node #2: [7, 84, 18] from Operation: 98-80=18 Current State: 42:[7, 84, 18], Operations: ['98-80=18'] Exploring Operation: 7*18=126, Resulting Numbers: [84, 126] Generated Node #3: [84, 126] from Operation: 7*18=126 Current State: 42:[84, 126], Operations: ['98-80=18', '7*18=126'] Exploring Operation: 126-84=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 10, 49, 61, 2 ]
65
[ "49+61=110", "110/2=55", "10+55=65" ]
Current State: 65:[10, 49, 61, 2], Operations: [] Exploring Operation: 49+61=110, Resulting Numbers: [10, 2, 110] Generated Node #2: [10, 2, 110] from Operation: 49+61=110 Current State: 65:[10, 2, 110], Operations: ['49+61=110'] Exploring Operation: 110/2=55, Resulting Numbers: [10, 55] Generated Node #3: [10, 55] from Operation: 110/2=55 Current State: 65:[10, 55], Operations: ['49+61=110', '110/2=55'] Exploring Operation: 10+55=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 26, 20, 98, 95 ]
49
[ "26+20=46", "98-95=3", "46+3=49" ]
Current State: 49:[26, 20, 98, 95], Operations: [] Exploring Operation: 26+20=46, Resulting Numbers: [98, 95, 46] Generated Node #2: [98, 95, 46] from Operation: 26+20=46 Current State: 49:[98, 95, 46], Operations: ['26+20=46'] Exploring Operation: 98-95=3, Resulting Numbers: [46, 3] Generated Node #3: [46, 3] from Operation: 98-95=3 Current State: 49:[46, 3], Operations: ['26+20=46', '98-95=3'] Exploring Operation: 46+3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 14, 82, 50, 45 ]
63
[ "82-14=68", "50-45=5", "68-5=63" ]
Current State: 63:[14, 82, 50, 45], Operations: [] Exploring Operation: 82-14=68, Resulting Numbers: [50, 45, 68] Generated Node #2: [50, 45, 68] from Operation: 82-14=68 Current State: 63:[50, 45, 68], Operations: ['82-14=68'] Exploring Operation: 50-45=5, Resulting Numbers: [68, 5] Generated Node #3: [68, 5] from Operation: 50-45=5 Current State: 63:[68, 5], Operations: ['82-14=68', '50-45=5'] Exploring Operation: 68-5=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 30, 40, 69, 66 ]
65
[ "30+40=70", "69+66=135", "135-70=65" ]
Current State: 65:[30, 40, 69, 66], Operations: [] Exploring Operation: 30+40=70, Resulting Numbers: [69, 66, 70] Generated Node #2: [69, 66, 70] from Operation: 30+40=70 Current State: 65:[69, 66, 70], Operations: ['30+40=70'] Exploring Operation: 69+66=135, Resulting Numbers: [70, 135] Generated Node #3: [70, 135] from Operation: 69+66=135 Current State: 65:[70, 135], Operations: ['30+40=70', '69+66=135'] Exploring Operation: 135-70=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 98, 79, 50, 19 ]
49
[ "98-79=19", "19/19=1", "50-1=49" ]
Current State: 49:[98, 79, 50, 19], Operations: [] Exploring Operation: 98-79=19, Resulting Numbers: [50, 19, 19] Generated Node #2: [50, 19, 19] from Operation: 98-79=19 Current State: 49:[50, 19, 19], Operations: ['98-79=19'] Exploring Operation: 19/19=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 19/19=1 Current State: 49:[50, 1], Operations: ['98-79=19', '19/19=1'] Exploring Operation: 50-1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 62, 33, 7, 65 ]
39
[ "62-7=55", "33*65=2145", "2145/55=39" ]
Current State: 39:[62, 33, 7, 65], Operations: [] Exploring Operation: 62-7=55, Resulting Numbers: [33, 65, 55] Generated Node #2: [33, 65, 55] from Operation: 62-7=55 Current State: 39:[33, 65, 55], Operations: ['62-7=55'] Exploring Operation: 33*65=2145, Resulting Numbers: [55, 2145] Generated Node #3: [55, 2145] from Operation: 33*65=2145 Current State: 39:[55, 2145], Operations: ['62-7=55', '33*65=2145'] Exploring Operation: 2145/55=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 58, 83, 25, 99 ]
100
[ "83-58=25", "25/25=1", "99+1=100" ]
Current State: 100:[58, 83, 25, 99], Operations: [] Exploring Operation: 83-58=25, Resulting Numbers: [25, 99, 25] Generated Node #2: [25, 99, 25] from Operation: 83-58=25 Current State: 100:[25, 99, 25], Operations: ['83-58=25'] Exploring Operation: 25/25=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 25/25=1 Current State: 100:[99, 1], Operations: ['83-58=25', '25/25=1'] Exploring Operation: 99+1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 34, 27, 37, 25 ]
20
[ "27-25=2", "34/2=17", "37-17=20" ]
Current State: 20:[34, 27, 37, 25], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [34, 37, 2] Generated Node #2: [34, 37, 2] from Operation: 27-25=2 Current State: 20:[34, 37, 2], Operations: ['27-25=2'] Exploring Operation: 34/2=17, Resulting Numbers: [37, 17] Generated Node #3: [37, 17] from Operation: 34/2=17 Current State: 20:[37, 17], Operations: ['27-25=2', '34/2=17'] Exploring Operation: 37-17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 6, 64, 14, 45 ]
41
[ "14*45=630", "630/6=105", "105-64=41" ]
Current State: 41:[6, 64, 14, 45], Operations: [] Exploring Operation: 14*45=630, Resulting Numbers: [6, 64, 630] Generated Node #2: [6, 64, 630] from Operation: 14*45=630 Current State: 41:[6, 64, 630], Operations: ['14*45=630'] Exploring Operation: 630/6=105, Resulting Numbers: [64, 105] Generated Node #3: [64, 105] from Operation: 630/6=105 Current State: 41:[64, 105], Operations: ['14*45=630', '630/6=105'] Exploring Operation: 105-64=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 84, 63, 7, 96 ]
58
[ "84+63=147", "96-7=89", "147-89=58" ]
Current State: 58:[84, 63, 7, 96], Operations: [] Exploring Operation: 84+63=147, Resulting Numbers: [7, 96, 147] Generated Node #2: [7, 96, 147] from Operation: 84+63=147 Current State: 58:[7, 96, 147], Operations: ['84+63=147'] Exploring Operation: 96-7=89, Resulting Numbers: [147, 89] Generated Node #3: [147, 89] from Operation: 96-7=89 Current State: 58:[147, 89], Operations: ['84+63=147', '96-7=89'] Exploring Operation: 147-89=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 31, 32, 93, 1 ]
99
[ "93/31=3", "32+1=33", "3*33=99" ]
Current State: 99:[31, 32, 93, 1], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [32, 1, 3] Generated Node #2: [32, 1, 3] from Operation: 93/31=3 Current State: 99:[32, 1, 3], Operations: ['93/31=3'] Exploring Operation: 32+1=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 32+1=33 Current State: 99:[3, 33], Operations: ['93/31=3', '32+1=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 93, 5, 90, 86 ]
11
[ "93-86=7", "90/5=18", "18-7=11" ]
Current State: 11:[93, 5, 90, 86], Operations: [] Exploring Operation: 93-86=7, Resulting Numbers: [5, 90, 7] Generated Node #2: [5, 90, 7] from Operation: 93-86=7 Current State: 11:[5, 90, 7], Operations: ['93-86=7'] Exploring Operation: 90/5=18, Resulting Numbers: [7, 18] Generated Node #3: [7, 18] from Operation: 90/5=18 Current State: 11:[7, 18], Operations: ['93-86=7', '90/5=18'] Exploring Operation: 18-7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 60, 30, 71, 3 ]
66
[ "60/30=2", "71-3=68", "68-2=66" ]
Current State: 66:[60, 30, 71, 3], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [71, 3, 2] Generated Node #2: [71, 3, 2] from Operation: 60/30=2 Current State: 66:[71, 3, 2], Operations: ['60/30=2'] Exploring Operation: 71-3=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 71-3=68 Current State: 66:[2, 68], Operations: ['60/30=2', '71-3=68'] Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 58, 49, 67, 32 ]
26
[ "58-49=9", "67-32=35", "35-9=26" ]
Current State: 26:[58, 49, 67, 32], Operations: [] Exploring Operation: 58-49=9, Resulting Numbers: [67, 32, 9] Generated Node #2: [67, 32, 9] from Operation: 58-49=9 Current State: 26:[67, 32, 9], Operations: ['58-49=9'] Exploring Operation: 67-32=35, Resulting Numbers: [9, 35] Generated Node #3: [9, 35] from Operation: 67-32=35 Current State: 26:[9, 35], Operations: ['58-49=9', '67-32=35'] Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 29, 11, 65, 62 ]
87
[ "29+11=40", "65+62=127", "127-40=87" ]
Current State: 87:[29, 11, 65, 62], Operations: [] Exploring Operation: 29+11=40, Resulting Numbers: [65, 62, 40] Generated Node #2: [65, 62, 40] from Operation: 29+11=40 Current State: 87:[65, 62, 40], Operations: ['29+11=40'] Exploring Operation: 65+62=127, Resulting Numbers: [40, 127] Generated Node #3: [40, 127] from Operation: 65+62=127 Current State: 87:[40, 127], Operations: ['29+11=40', '65+62=127'] Exploring Operation: 127-40=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 70, 92, 12, 9 ]
30
[ "70+92=162", "162/9=18", "12+18=30" ]
Current State: 30:[70, 92, 12, 9], Operations: [] Exploring Operation: 70+92=162, Resulting Numbers: [12, 9, 162] Generated Node #2: [12, 9, 162] from Operation: 70+92=162 Current State: 30:[12, 9, 162], Operations: ['70+92=162'] Exploring Operation: 162/9=18, Resulting Numbers: [12, 18] Generated Node #3: [12, 18] from Operation: 162/9=18 Current State: 30:[12, 18], Operations: ['70+92=162', '162/9=18'] Exploring Operation: 12+18=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 21, 61, 60, 64 ]
27
[ "21+60=81", "64-61=3", "81/3=27" ]
Current State: 27:[21, 61, 60, 64], Operations: [] Exploring Operation: 21+60=81, Resulting Numbers: [61, 64, 81] Generated Node #2: [61, 64, 81] from Operation: 21+60=81 Current State: 27:[61, 64, 81], Operations: ['21+60=81'] Exploring Operation: 64-61=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 64-61=3 Current State: 27:[81, 3], Operations: ['21+60=81', '64-61=3'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 80, 37, 96, 53 ]
86
[ "80-37=43", "96-53=43", "43+43=86" ]
Current State: 86:[80, 37, 96, 53], Operations: [] Exploring Operation: 80-37=43, Resulting Numbers: [96, 53, 43] Generated Node #2: [96, 53, 43] from Operation: 80-37=43 Current State: 86:[96, 53, 43], Operations: ['80-37=43'] Exploring Operation: 96-53=43, Resulting Numbers: [43, 43] Generated Node #3: [43, 43] from Operation: 96-53=43 Current State: 86:[43, 43], Operations: ['80-37=43', '96-53=43'] Exploring Operation: 43+43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 94, 91, 2, 6 ]
46
[ "91*2=182", "94+182=276", "276/6=46" ]
Current State: 46:[94, 91, 2, 6], Operations: [] Exploring Operation: 91*2=182, Resulting Numbers: [94, 6, 182] Generated Node #2: [94, 6, 182] from Operation: 91*2=182 Current State: 46:[94, 6, 182], Operations: ['91*2=182'] Exploring Operation: 94+182=276, Resulting Numbers: [6, 276] Generated Node #3: [6, 276] from Operation: 94+182=276 Current State: 46:[6, 276], Operations: ['91*2=182', '94+182=276'] Exploring Operation: 276/6=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 44, 9, 87, 67 ]
66
[ "44*87=3828", "67-9=58", "3828/58=66" ]
Current State: 66:[44, 9, 87, 67], Operations: [] Exploring Operation: 44*87=3828, Resulting Numbers: [9, 67, 3828] Generated Node #2: [9, 67, 3828] from Operation: 44*87=3828 Current State: 66:[9, 67, 3828], Operations: ['44*87=3828'] Exploring Operation: 67-9=58, Resulting Numbers: [3828, 58] Generated Node #3: [3828, 58] from Operation: 67-9=58 Current State: 66:[3828, 58], Operations: ['44*87=3828', '67-9=58'] Exploring Operation: 3828/58=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4