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
[ 83, 84, 62, 71 ]
75
[ "83-62=21", "84/21=4", "71+4=75" ]
Current State: 75:[83, 84, 62, 71], Operations: [] Exploring Operation: 83-62=21, Resulting Numbers: [84, 71, 21] Generated Node #2: [84, 71, 21] from Operation: 83-62=21 Current State: 75:[84, 71, 21], Operations: ['83-62=21'] Exploring Operation: 84/21=4, Resulting Numbers: [71, 4] Generated Node #3: [71, 4] from Operation: 84/21=4 Current State: 75:[71, 4], Operations: ['83-62=21', '84/21=4'] Exploring Operation: 71+4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 87, 7, 91, 81 ]
53
[ "91-87=4", "7*4=28", "81-28=53" ]
Current State: 53:[87, 7, 91, 81], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [7, 81, 4] Generated Node #2: [7, 81, 4] from Operation: 91-87=4 Current State: 53:[7, 81, 4], Operations: ['91-87=4'] Exploring Operation: 7*4=28, Resulting Numbers: [81, 28] Generated Node #3: [81, 28] from Operation: 7*4=28 Current State: 53:[81, 28], Operations: ['91-87=4', '7*4=28'] Exploring Operation: 81-28=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 54, 32, 16, 86 ]
22
[ "54*32=1728", "1728/16=108", "108-86=22" ]
Current State: 22:[54, 32, 16, 86], Operations: [] Exploring Operation: 54*32=1728, Resulting Numbers: [16, 86, 1728] Generated Node #2: [16, 86, 1728] from Operation: 54*32=1728 Current State: 22:[16, 86, 1728], Operations: ['54*32=1728'] Exploring Operation: 1728/16=108, Resulting Numbers: [86, 108] Generated Node #3: [86, 108] from Operation: 1728/16=108 Current State: 22:[86, 108], Operations: ['54*32=1728', '1728/16=108'] Exploring Operation: 108-86=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 13, 2, 50, 47 ]
71
[ "13*2=26", "50+47=97", "97-26=71" ]
Current State: 71:[13, 2, 50, 47], Operations: [] Exploring Operation: 13*2=26, Resulting Numbers: [50, 47, 26] Generated Node #2: [50, 47, 26] from Operation: 13*2=26 Current State: 71:[50, 47, 26], Operations: ['13*2=26'] Exploring Operation: 50+47=97, Resulting Numbers: [26, 97] Generated Node #3: [26, 97] from Operation: 50+47=97 Current State: 71:[26, 97], Operations: ['13*2=26', '50+47=97'] Exploring Operation: 97-26=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 3, 21, 85, 50 ]
72
[ "3*21=63", "85+50=135", "135-63=72" ]
Current State: 72:[3, 21, 85, 50], Operations: [] Exploring Operation: 3*21=63, Resulting Numbers: [85, 50, 63] Generated Node #2: [85, 50, 63] from Operation: 3*21=63 Current State: 72:[85, 50, 63], Operations: ['3*21=63'] Exploring Operation: 85+50=135, Resulting Numbers: [63, 135] Generated Node #3: [63, 135] from Operation: 85+50=135 Current State: 72:[63, 135], Operations: ['3*21=63', '85+50=135'] Exploring Operation: 135-63=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 1, 60, 54, 24 ]
29
[ "60-1=59", "54-24=30", "59-30=29" ]
Current State: 29:[1, 60, 54, 24], Operations: [] Exploring Operation: 60-1=59, Resulting Numbers: [54, 24, 59] Generated Node #2: [54, 24, 59] from Operation: 60-1=59 Current State: 29:[54, 24, 59], Operations: ['60-1=59'] Exploring Operation: 54-24=30, Resulting Numbers: [59, 30] Generated Node #3: [59, 30] from Operation: 54-24=30 Current State: 29:[59, 30], Operations: ['60-1=59', '54-24=30'] Exploring Operation: 59-30=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 69, 80, 92, 87 ]
55
[ "80-69=11", "92-87=5", "11*5=55" ]
Current State: 55:[69, 80, 92, 87], Operations: [] Exploring Operation: 80-69=11, Resulting Numbers: [92, 87, 11] Generated Node #2: [92, 87, 11] from Operation: 80-69=11 Current State: 55:[92, 87, 11], Operations: ['80-69=11'] Exploring Operation: 92-87=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 92-87=5 Current State: 55:[11, 5], Operations: ['80-69=11', '92-87=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 65, 23, 51, 49 ]
40
[ "65-23=42", "51-49=2", "42-2=40" ]
Current State: 40:[65, 23, 51, 49], Operations: [] Exploring Operation: 65-23=42, Resulting Numbers: [51, 49, 42] Generated Node #2: [51, 49, 42] from Operation: 65-23=42 Current State: 40:[51, 49, 42], Operations: ['65-23=42'] Exploring Operation: 51-49=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 51-49=2 Current State: 40:[42, 2], Operations: ['65-23=42', '51-49=2'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 2, 34, 90, 20 ]
34
[ "2+34=36", "90-20=70", "70-36=34" ]
Current State: 34:[2, 34, 90, 20], Operations: [] Exploring Operation: 2+34=36, Resulting Numbers: [90, 20, 36] Generated Node #2: [90, 20, 36] from Operation: 2+34=36 Current State: 34:[90, 20, 36], Operations: ['2+34=36'] Exploring Operation: 90-20=70, Resulting Numbers: [36, 70] Generated Node #3: [36, 70] from Operation: 90-20=70 Current State: 34:[36, 70], Operations: ['2+34=36', '90-20=70'] Exploring Operation: 70-36=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 24, 67, 2, 29 ]
100
[ "67-29=38", "2*38=76", "24+76=100" ]
Current State: 100:[24, 67, 2, 29], Operations: [] Exploring Operation: 67-29=38, Resulting Numbers: [24, 2, 38] Generated Node #2: [24, 2, 38] from Operation: 67-29=38 Current State: 100:[24, 2, 38], Operations: ['67-29=38'] Exploring Operation: 2*38=76, Resulting Numbers: [24, 76] Generated Node #3: [24, 76] from Operation: 2*38=76 Current State: 100:[24, 76], Operations: ['67-29=38', '2*38=76'] Exploring Operation: 24+76=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 81, 20, 11, 59 ]
22
[ "81-20=61", "61-59=2", "11*2=22" ]
Current State: 22:[81, 20, 11, 59], Operations: [] Exploring Operation: 81-20=61, Resulting Numbers: [11, 59, 61] Generated Node #2: [11, 59, 61] from Operation: 81-20=61 Current State: 22:[11, 59, 61], Operations: ['81-20=61'] Exploring Operation: 61-59=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 61-59=2 Current State: 22:[11, 2], Operations: ['81-20=61', '61-59=2'] Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 21, 35, 63, 86 ]
93
[ "21+35=56", "63+86=149", "149-56=93" ]
Current State: 93:[21, 35, 63, 86], Operations: [] Exploring Operation: 21+35=56, Resulting Numbers: [63, 86, 56] Generated Node #2: [63, 86, 56] from Operation: 21+35=56 Current State: 93:[63, 86, 56], Operations: ['21+35=56'] Exploring Operation: 63+86=149, Resulting Numbers: [56, 149] Generated Node #3: [56, 149] from Operation: 63+86=149 Current State: 93:[56, 149], Operations: ['21+35=56', '63+86=149'] Exploring Operation: 149-56=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 44, 51, 11, 38 ]
68
[ "44+51=95", "38-11=27", "95-27=68" ]
Current State: 68:[44, 51, 11, 38], Operations: [] Exploring Operation: 44+51=95, Resulting Numbers: [11, 38, 95] Generated Node #2: [11, 38, 95] from Operation: 44+51=95 Current State: 68:[11, 38, 95], Operations: ['44+51=95'] Exploring Operation: 38-11=27, Resulting Numbers: [95, 27] Generated Node #3: [95, 27] from Operation: 38-11=27 Current State: 68:[95, 27], Operations: ['44+51=95', '38-11=27'] Exploring Operation: 95-27=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 84, 30, 2, 60 ]
36
[ "84-60=24", "30*2=60", "60-24=36" ]
Current State: 36:[84, 30, 2, 60], Operations: [] Exploring Operation: 84-60=24, Resulting Numbers: [30, 2, 24] Generated Node #2: [30, 2, 24] from Operation: 84-60=24 Current State: 36:[30, 2, 24], Operations: ['84-60=24'] Exploring Operation: 30*2=60, Resulting Numbers: [24, 60] Generated Node #3: [24, 60] from Operation: 30*2=60 Current State: 36:[24, 60], Operations: ['84-60=24', '30*2=60'] Exploring Operation: 60-24=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 69, 18, 57, 18 ]
57
[ "18-18=0", "69*0=0", "57+0=57" ]
Current State: 57:[69, 18, 57, 18], Operations: [] Exploring Operation: 18-18=0, Resulting Numbers: [69, 57, 0] Generated Node #2: [69, 57, 0] from Operation: 18-18=0 Current State: 57:[69, 57, 0], Operations: ['18-18=0'] Exploring Operation: 69*0=0, Resulting Numbers: [57, 0] Generated Node #3: [57, 0] from Operation: 69*0=0 Current State: 57:[57, 0], Operations: ['18-18=0', '69*0=0'] Exploring Operation: 57+0=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 84, 57, 71, 31 ]
75
[ "84-57=27", "71+31=102", "102-27=75" ]
Current State: 75:[84, 57, 71, 31], Operations: [] Exploring Operation: 84-57=27, Resulting Numbers: [71, 31, 27] Generated Node #2: [71, 31, 27] from Operation: 84-57=27 Current State: 75:[71, 31, 27], Operations: ['84-57=27'] Exploring Operation: 71+31=102, Resulting Numbers: [27, 102] Generated Node #3: [27, 102] from Operation: 71+31=102 Current State: 75:[27, 102], Operations: ['84-57=27', '71+31=102'] Exploring Operation: 102-27=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 45, 57, 12, 68 ]
92
[ "57-45=12", "12+68=80", "12+80=92" ]
Current State: 92:[45, 57, 12, 68], Operations: [] Exploring Operation: 57-45=12, Resulting Numbers: [12, 68, 12] Generated Node #2: [12, 68, 12] from Operation: 57-45=12 Current State: 92:[12, 68, 12], Operations: ['57-45=12'] Exploring Operation: 12+68=80, Resulting Numbers: [80] 80,92 equal: Goal Reached Exploring Operation: 12+80=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 21, 71, 92, 1 ]
42
[ "71-21=50", "92*1=92", "92-50=42" ]
Current State: 42:[21, 71, 92, 1], Operations: [] Exploring Operation: 71-21=50, Resulting Numbers: [92, 1, 50] Generated Node #2: [92, 1, 50] from Operation: 71-21=50 Current State: 42:[92, 1, 50], Operations: ['71-21=50'] Exploring Operation: 92*1=92, Resulting Numbers: [50, 92] Generated Node #3: [50, 92] from Operation: 92*1=92 Current State: 42:[50, 92], Operations: ['71-21=50', '92*1=92'] Exploring Operation: 92-50=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 10, 52, 15, 10 ]
38
[ "10/10=1", "52-15=37", "1+37=38" ]
Current State: 38:[10, 52, 15, 10], Operations: [] Exploring Operation: 10/10=1, Resulting Numbers: [52, 15, 1] Generated Node #2: [52, 15, 1] from Operation: 10/10=1 Current State: 38:[52, 15, 1], Operations: ['10/10=1'] Exploring Operation: 52-15=37, Resulting Numbers: [1, 37] Generated Node #3: [1, 37] from Operation: 52-15=37 Current State: 38:[1, 37], Operations: ['10/10=1', '52-15=37'] Exploring Operation: 1+37=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 50, 65, 63, 86 ]
81
[ "63-50=13", "65/13=5", "86-5=81" ]
Current State: 81:[50, 65, 63, 86], Operations: [] Exploring Operation: 63-50=13, Resulting Numbers: [65, 86, 13] Generated Node #2: [65, 86, 13] from Operation: 63-50=13 Current State: 81:[65, 86, 13], Operations: ['63-50=13'] Exploring Operation: 65/13=5, Resulting Numbers: [86, 5] Generated Node #3: [86, 5] from Operation: 65/13=5 Current State: 81:[86, 5], Operations: ['63-50=13', '65/13=5'] Exploring Operation: 86-5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 14, 11, 54, 16 ]
95
[ "14+11=25", "54+16=70", "25+70=95" ]
Current State: 95:[14, 11, 54, 16], Operations: [] Exploring Operation: 14+11=25, Resulting Numbers: [54, 16, 25] Generated Node #2: [54, 16, 25] from Operation: 14+11=25 Current State: 95:[54, 16, 25], Operations: ['14+11=25'] Exploring Operation: 54+16=70, Resulting Numbers: [25, 70] Generated Node #3: [25, 70] from Operation: 54+16=70 Current State: 95:[25, 70], Operations: ['14+11=25', '54+16=70'] Exploring Operation: 25+70=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 67, 28, 49, 42 ]
58
[ "67*42=2814", "28+2814=2842", "2842/49=58" ]
Current State: 58:[67, 28, 49, 42], Operations: [] Exploring Operation: 67*42=2814, Resulting Numbers: [28, 49, 2814] Generated Node #2: [28, 49, 2814] from Operation: 67*42=2814 Current State: 58:[28, 49, 2814], Operations: ['67*42=2814'] Exploring Operation: 28+2814=2842, Resulting Numbers: [49, 2842] Generated Node #3: [49, 2842] from Operation: 28+2814=2842 Current State: 58:[49, 2842], Operations: ['67*42=2814', '28+2814=2842'] Exploring Operation: 2842/49=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 43, 30, 22, 58 ]
47
[ "30+58=88", "88/22=4", "43+4=47" ]
Current State: 47:[43, 30, 22, 58], Operations: [] Exploring Operation: 30+58=88, Resulting Numbers: [43, 22, 88] Generated Node #2: [43, 22, 88] from Operation: 30+58=88 Current State: 47:[43, 22, 88], Operations: ['30+58=88'] Exploring Operation: 88/22=4, Resulting Numbers: [43, 4] Generated Node #3: [43, 4] from Operation: 88/22=4 Current State: 47:[43, 4], Operations: ['30+58=88', '88/22=4'] Exploring Operation: 43+4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 19, 70, 69, 94 ]
26
[ "70-19=51", "94-69=25", "51-25=26" ]
Current State: 26:[19, 70, 69, 94], Operations: [] Exploring Operation: 70-19=51, Resulting Numbers: [69, 94, 51] Generated Node #2: [69, 94, 51] from Operation: 70-19=51 Current State: 26:[69, 94, 51], Operations: ['70-19=51'] Exploring Operation: 94-69=25, Resulting Numbers: [51, 25] Generated Node #3: [51, 25] from Operation: 94-69=25 Current State: 26:[51, 25], Operations: ['70-19=51', '94-69=25'] Exploring Operation: 51-25=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 12, 33, 78, 51 ]
71
[ "33+51=84", "84/12=7", "78-7=71" ]
Current State: 71:[12, 33, 78, 51], Operations: [] Exploring Operation: 33+51=84, Resulting Numbers: [12, 78, 84] Generated Node #2: [12, 78, 84] from Operation: 33+51=84 Current State: 71:[12, 78, 84], Operations: ['33+51=84'] Exploring Operation: 84/12=7, Resulting Numbers: [78, 7] Generated Node #3: [78, 7] from Operation: 84/12=7 Current State: 71:[78, 7], Operations: ['33+51=84', '84/12=7'] Exploring Operation: 78-7=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 34, 54, 27, 14 ]
33
[ "54-34=20", "27-14=13", "20+13=33" ]
Current State: 33:[34, 54, 27, 14], Operations: [] Exploring Operation: 54-34=20, Resulting Numbers: [27, 14, 20] Generated Node #2: [27, 14, 20] from Operation: 54-34=20 Current State: 33:[27, 14, 20], Operations: ['54-34=20'] Exploring Operation: 27-14=13, Resulting Numbers: [20, 13] Generated Node #3: [20, 13] from Operation: 27-14=13 Current State: 33:[20, 13], Operations: ['54-34=20', '27-14=13'] Exploring Operation: 20+13=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 27, 20, 97, 93 ]
88
[ "97-93=4", "27*4=108", "108-20=88" ]
Current State: 88:[27, 20, 97, 93], Operations: [] Exploring Operation: 97-93=4, Resulting Numbers: [27, 20, 4] Generated Node #2: [27, 20, 4] from Operation: 97-93=4 Current State: 88:[27, 20, 4], Operations: ['97-93=4'] Exploring Operation: 27*4=108, Resulting Numbers: [20, 108] Generated Node #3: [20, 108] from Operation: 27*4=108 Current State: 88:[20, 108], Operations: ['97-93=4', '27*4=108'] Exploring Operation: 108-20=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 82, 96, 39, 62 ]
77
[ "82+96=178", "39+62=101", "178-101=77" ]
Current State: 77:[82, 96, 39, 62], Operations: [] Exploring Operation: 82+96=178, Resulting Numbers: [39, 62, 178] Generated Node #2: [39, 62, 178] from Operation: 82+96=178 Current State: 77:[39, 62, 178], Operations: ['82+96=178'] Exploring Operation: 39+62=101, Resulting Numbers: [178, 101] Generated Node #3: [178, 101] from Operation: 39+62=101 Current State: 77:[178, 101], Operations: ['82+96=178', '39+62=101'] Exploring Operation: 178-101=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 56, 28, 3, 64 ]
68
[ "56+64=120", "120/3=40", "28+40=68" ]
Current State: 68:[56, 28, 3, 64], Operations: [] Exploring Operation: 56+64=120, Resulting Numbers: [28, 3, 120] Generated Node #2: [28, 3, 120] from Operation: 56+64=120 Current State: 68:[28, 3, 120], Operations: ['56+64=120'] Exploring Operation: 120/3=40, Resulting Numbers: [28, 40] Generated Node #3: [28, 40] from Operation: 120/3=40 Current State: 68:[28, 40], Operations: ['56+64=120', '120/3=40'] Exploring Operation: 28+40=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 33, 22, 95, 98 ]
58
[ "33+22=55", "98-95=3", "55+3=58" ]
Current State: 58:[33, 22, 95, 98], Operations: [] Exploring Operation: 33+22=55, Resulting Numbers: [95, 98, 55] Generated Node #2: [95, 98, 55] from Operation: 33+22=55 Current State: 58:[95, 98, 55], Operations: ['33+22=55'] Exploring Operation: 98-95=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 98-95=3 Current State: 58:[55, 3], Operations: ['33+22=55', '98-95=3'] Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 7, 15, 2, 19 ]
100
[ "15+2=17", "7*17=119", "119-19=100" ]
Current State: 100:[7, 15, 2, 19], Operations: [] Exploring Operation: 15+2=17, Resulting Numbers: [7, 19, 17] Generated Node #2: [7, 19, 17] from Operation: 15+2=17 Current State: 100:[7, 19, 17], Operations: ['15+2=17'] Exploring Operation: 7*17=119, Resulting Numbers: [19, 119] Generated Node #3: [19, 119] from Operation: 7*17=119 Current State: 100:[19, 119], Operations: ['15+2=17', '7*17=119'] Exploring Operation: 119-19=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 41, 39, 9, 25 ]
32
[ "41-39=2", "9+25=34", "34-2=32" ]
Current State: 32:[41, 39, 9, 25], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [9, 25, 2] Generated Node #2: [9, 25, 2] from Operation: 41-39=2 Current State: 32:[9, 25, 2], Operations: ['41-39=2'] Exploring Operation: 9+25=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 9+25=34 Current State: 32:[2, 34], Operations: ['41-39=2', '9+25=34'] Exploring Operation: 34-2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 11, 4, 50, 77 ]
64
[ "11+50=61", "77-61=16", "4*16=64" ]
Current State: 64:[11, 4, 50, 77], Operations: [] Exploring Operation: 11+50=61, Resulting Numbers: [4, 77, 61] Generated Node #2: [4, 77, 61] from Operation: 11+50=61 Current State: 64:[4, 77, 61], Operations: ['11+50=61'] Exploring Operation: 77-61=16, Resulting Numbers: [4, 16] Generated Node #3: [4, 16] from Operation: 77-61=16 Current State: 64:[4, 16], Operations: ['11+50=61', '77-61=16'] Exploring Operation: 4*16=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 87, 96, 35, 32 ]
76
[ "96-87=9", "35+32=67", "9+67=76" ]
Current State: 76:[87, 96, 35, 32], Operations: [] Exploring Operation: 96-87=9, Resulting Numbers: [35, 32, 9] Generated Node #2: [35, 32, 9] from Operation: 96-87=9 Current State: 76:[35, 32, 9], Operations: ['96-87=9'] Exploring Operation: 35+32=67, Resulting Numbers: [9, 67] Generated Node #3: [9, 67] from Operation: 35+32=67 Current State: 76:[9, 67], Operations: ['96-87=9', '35+32=67'] Exploring Operation: 9+67=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 72, 84, 48, 18 ]
38
[ "84*48=4032", "4032/72=56", "56-18=38" ]
Current State: 38:[72, 84, 48, 18], Operations: [] Exploring Operation: 84*48=4032, Resulting Numbers: [72, 18, 4032] Generated Node #2: [72, 18, 4032] from Operation: 84*48=4032 Current State: 38:[72, 18, 4032], Operations: ['84*48=4032'] Exploring Operation: 4032/72=56, Resulting Numbers: [18, 56] Generated Node #3: [18, 56] from Operation: 4032/72=56 Current State: 38:[18, 56], Operations: ['84*48=4032', '4032/72=56'] Exploring Operation: 56-18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 20, 55, 81, 73 ]
56
[ "81+73=154", "20*154=3080", "3080/55=56" ]
Current State: 56:[20, 55, 81, 73], Operations: [] Exploring Operation: 81+73=154, Resulting Numbers: [20, 55, 154] Generated Node #2: [20, 55, 154] from Operation: 81+73=154 Current State: 56:[20, 55, 154], Operations: ['81+73=154'] Exploring Operation: 20*154=3080, Resulting Numbers: [55, 3080] Generated Node #3: [55, 3080] from Operation: 20*154=3080 Current State: 56:[55, 3080], Operations: ['81+73=154', '20*154=3080'] Exploring Operation: 3080/55=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 31, 19, 45, 3 ]
47
[ "45-19=26", "3*26=78", "78-31=47" ]
Current State: 47:[31, 19, 45, 3], Operations: [] Exploring Operation: 45-19=26, Resulting Numbers: [31, 3, 26] Generated Node #2: [31, 3, 26] from Operation: 45-19=26 Current State: 47:[31, 3, 26], Operations: ['45-19=26'] Exploring Operation: 3*26=78, Resulting Numbers: [31, 78] Generated Node #3: [31, 78] from Operation: 3*26=78 Current State: 47:[31, 78], Operations: ['45-19=26', '3*26=78'] Exploring Operation: 78-31=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 84, 79, 16, 26 ]
47
[ "84-79=5", "16+26=42", "5+42=47" ]
Current State: 47:[84, 79, 16, 26], Operations: [] Exploring Operation: 84-79=5, Resulting Numbers: [16, 26, 5] Generated Node #2: [16, 26, 5] from Operation: 84-79=5 Current State: 47:[16, 26, 5], Operations: ['84-79=5'] Exploring Operation: 16+26=42, Resulting Numbers: [5, 42] Generated Node #3: [5, 42] from Operation: 16+26=42 Current State: 47:[5, 42], Operations: ['84-79=5', '16+26=42'] Exploring Operation: 5+42=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 81, 90, 25, 85 ]
99
[ "25+85=110", "81*110=8910", "8910/90=99" ]
Current State: 99:[81, 90, 25, 85], Operations: [] Exploring Operation: 25+85=110, Resulting Numbers: [81, 90, 110] Generated Node #2: [81, 90, 110] from Operation: 25+85=110 Current State: 99:[81, 90, 110], Operations: ['25+85=110'] Exploring Operation: 81*110=8910, Resulting Numbers: [90, 8910] Generated Node #3: [90, 8910] from Operation: 81*110=8910 Current State: 99:[90, 8910], Operations: ['25+85=110', '81*110=8910'] Exploring Operation: 8910/90=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 11, 8, 96, 99 ]
100
[ "99-11=88", "96/8=12", "88+12=100" ]
Current State: 100:[11, 8, 96, 99], Operations: [] Exploring Operation: 99-11=88, Resulting Numbers: [8, 96, 88] Generated Node #2: [8, 96, 88] from Operation: 99-11=88 Current State: 100:[8, 96, 88], Operations: ['99-11=88'] Exploring Operation: 96/8=12, Resulting Numbers: [88, 12] Generated Node #3: [88, 12] from Operation: 96/8=12 Current State: 100:[88, 12], Operations: ['99-11=88', '96/8=12'] Exploring Operation: 88+12=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 16, 15, 35, 59 ]
94
[ "16-15=1", "35+59=94", "1*94=94" ]
Current State: 94:[16, 15, 35, 59], Operations: [] Exploring Operation: 16-15=1, Resulting Numbers: [35, 59, 1] Generated Node #2: [35, 59, 1] from Operation: 16-15=1 Current State: 94:[35, 59, 1], Operations: ['16-15=1'] Exploring Operation: 35+59=94, Resulting Numbers: [1, 94] Generated Node #3: [1, 94] from Operation: 35+59=94 Current State: 94:[1, 94], Operations: ['16-15=1', '35+59=94'] Exploring Operation: 1*94=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 19, 14, 38, 86 ]
93
[ "19*14=266", "266/38=7", "86+7=93" ]
Current State: 93:[19, 14, 38, 86], Operations: [] Exploring Operation: 19*14=266, Resulting Numbers: [38, 86, 266] Generated Node #2: [38, 86, 266] from Operation: 19*14=266 Current State: 93:[38, 86, 266], Operations: ['19*14=266'] Exploring Operation: 266/38=7, Resulting Numbers: [86, 7] Generated Node #3: [86, 7] from Operation: 266/38=7 Current State: 93:[86, 7], Operations: ['19*14=266', '266/38=7'] Exploring Operation: 86+7=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 35, 82, 23, 61 ]
58
[ "82+23=105", "105/35=3", "61-3=58" ]
Current State: 58:[35, 82, 23, 61], Operations: [] Exploring Operation: 82+23=105, Resulting Numbers: [35, 61, 105] Generated Node #2: [35, 61, 105] from Operation: 82+23=105 Current State: 58:[35, 61, 105], Operations: ['82+23=105'] Exploring Operation: 105/35=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 105/35=3 Current State: 58:[61, 3], Operations: ['82+23=105', '105/35=3'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 58, 39, 55, 67 ]
50
[ "58-55=3", "39*3=117", "117-67=50" ]
Current State: 50:[58, 39, 55, 67], Operations: [] Exploring Operation: 58-55=3, Resulting Numbers: [39, 67, 3] Generated Node #2: [39, 67, 3] from Operation: 58-55=3 Current State: 50:[39, 67, 3], Operations: ['58-55=3'] Exploring Operation: 39*3=117, Resulting Numbers: [67, 117] Generated Node #3: [67, 117] from Operation: 39*3=117 Current State: 50:[67, 117], Operations: ['58-55=3', '39*3=117'] Exploring Operation: 117-67=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 19, 86, 99, 8 ]
85
[ "99-86=13", "8*13=104", "104-19=85" ]
Current State: 85:[19, 86, 99, 8], Operations: [] Exploring Operation: 99-86=13, Resulting Numbers: [19, 8, 13] Generated Node #2: [19, 8, 13] from Operation: 99-86=13 Current State: 85:[19, 8, 13], Operations: ['99-86=13'] Exploring Operation: 8*13=104, Resulting Numbers: [19, 104] Generated Node #3: [19, 104] from Operation: 8*13=104 Current State: 85:[19, 104], Operations: ['99-86=13', '8*13=104'] Exploring Operation: 104-19=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 54, 92, 46, 55 ]
86
[ "55-46=9", "54/9=6", "92-6=86" ]
Current State: 86:[54, 92, 46, 55], Operations: [] Exploring Operation: 55-46=9, Resulting Numbers: [54, 92, 9] Generated Node #2: [54, 92, 9] from Operation: 55-46=9 Current State: 86:[54, 92, 9], Operations: ['55-46=9'] Exploring Operation: 54/9=6, Resulting Numbers: [92, 6] Generated Node #3: [92, 6] from Operation: 54/9=6 Current State: 86:[92, 6], Operations: ['55-46=9', '54/9=6'] Exploring Operation: 92-6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 10, 87, 94, 76 ]
73
[ "10+87=97", "94+76=170", "170-97=73" ]
Current State: 73:[10, 87, 94, 76], Operations: [] Exploring Operation: 10+87=97, Resulting Numbers: [94, 76, 97] Generated Node #2: [94, 76, 97] from Operation: 10+87=97 Current State: 73:[94, 76, 97], Operations: ['10+87=97'] Exploring Operation: 94+76=170, Resulting Numbers: [97, 170] Generated Node #3: [97, 170] from Operation: 94+76=170 Current State: 73:[97, 170], Operations: ['10+87=97', '94+76=170'] Exploring Operation: 170-97=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 54, 67, 99, 51 ]
73
[ "54+67=121", "99-51=48", "121-48=73" ]
Current State: 73:[54, 67, 99, 51], Operations: [] Exploring Operation: 54+67=121, Resulting Numbers: [99, 51, 121] Generated Node #2: [99, 51, 121] from Operation: 54+67=121 Current State: 73:[99, 51, 121], Operations: ['54+67=121'] Exploring Operation: 99-51=48, Resulting Numbers: [121, 48] Generated Node #3: [121, 48] from Operation: 99-51=48 Current State: 73:[121, 48], Operations: ['54+67=121', '99-51=48'] Exploring Operation: 121-48=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 22, 3, 73, 20 ]
93
[ "73-22=51", "51-20=31", "3*31=93" ]
Current State: 93:[22, 3, 73, 20], Operations: [] Exploring Operation: 73-22=51, Resulting Numbers: [3, 20, 51] Generated Node #2: [3, 20, 51] from Operation: 73-22=51 Current State: 93:[3, 20, 51], Operations: ['73-22=51'] Exploring Operation: 51-20=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 51-20=31 Current State: 93:[3, 31], Operations: ['73-22=51', '51-20=31'] Exploring Operation: 3*31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 47, 60, 37, 52 ]
58
[ "47-37=10", "60/10=6", "52+6=58" ]
Current State: 58:[47, 60, 37, 52], Operations: [] Exploring Operation: 47-37=10, Resulting Numbers: [60, 52, 10] Generated Node #2: [60, 52, 10] from Operation: 47-37=10 Current State: 58:[60, 52, 10], Operations: ['47-37=10'] Exploring Operation: 60/10=6, Resulting Numbers: [52, 6] Generated Node #3: [52, 6] from Operation: 60/10=6 Current State: 58:[52, 6], Operations: ['47-37=10', '60/10=6'] Exploring Operation: 52+6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 6, 63, 67, 46 ]
36
[ "63-6=57", "67-46=21", "57-21=36" ]
Current State: 36:[6, 63, 67, 46], Operations: [] Exploring Operation: 63-6=57, Resulting Numbers: [67, 46, 57] Generated Node #2: [67, 46, 57] from Operation: 63-6=57 Current State: 36:[67, 46, 57], Operations: ['63-6=57'] Exploring Operation: 67-46=21, Resulting Numbers: [57, 21] Generated Node #3: [57, 21] from Operation: 67-46=21 Current State: 36:[57, 21], Operations: ['63-6=57', '67-46=21'] Exploring Operation: 57-21=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 80, 28, 38, 48 ]
20
[ "48-38=10", "80/10=8", "28-8=20" ]
Current State: 20:[80, 28, 38, 48], Operations: [] Exploring Operation: 48-38=10, Resulting Numbers: [80, 28, 10] Generated Node #2: [80, 28, 10] from Operation: 48-38=10 Current State: 20:[80, 28, 10], Operations: ['48-38=10'] Exploring Operation: 80/10=8, Resulting Numbers: [28, 8] Generated Node #3: [28, 8] from Operation: 80/10=8 Current State: 20:[28, 8], Operations: ['48-38=10', '80/10=8'] Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 46, 67, 36, 69 ]
28
[ "69-67=2", "36/2=18", "46-18=28" ]
Current State: 28:[46, 67, 36, 69], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [46, 36, 2] Generated Node #2: [46, 36, 2] from Operation: 69-67=2 Current State: 28:[46, 36, 2], Operations: ['69-67=2'] Exploring Operation: 36/2=18, Resulting Numbers: [46, 18] Generated Node #3: [46, 18] from Operation: 36/2=18 Current State: 28:[46, 18], Operations: ['69-67=2', '36/2=18'] Exploring Operation: 46-18=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 11, 37, 8, 53 ]
29
[ "11+53=64", "64/8=8", "37-8=29" ]
Current State: 29:[11, 37, 8, 53], Operations: [] Exploring Operation: 11+53=64, Resulting Numbers: [37, 8, 64] Generated Node #2: [37, 8, 64] from Operation: 11+53=64 Current State: 29:[37, 8, 64], Operations: ['11+53=64'] Exploring Operation: 64/8=8, Resulting Numbers: [37, 8] Generated Node #3: [37, 8] from Operation: 64/8=8 Current State: 29:[37, 8], Operations: ['11+53=64', '64/8=8'] Exploring Operation: 37-8=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 91, 48, 64, 54 ]
53
[ "91-48=43", "64-54=10", "43+10=53" ]
Current State: 53:[91, 48, 64, 54], Operations: [] Exploring Operation: 91-48=43, Resulting Numbers: [64, 54, 43] Generated Node #2: [64, 54, 43] from Operation: 91-48=43 Current State: 53:[64, 54, 43], Operations: ['91-48=43'] Exploring Operation: 64-54=10, Resulting Numbers: [43, 10] Generated Node #3: [43, 10] from Operation: 64-54=10 Current State: 53:[43, 10], Operations: ['91-48=43', '64-54=10'] Exploring Operation: 43+10=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 93, 31, 14, 49 ]
21
[ "93/31=3", "14+49=63", "63/3=21" ]
Current State: 21:[93, 31, 14, 49], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [14, 49, 3] Generated Node #2: [14, 49, 3] from Operation: 93/31=3 Current State: 21:[14, 49, 3], Operations: ['93/31=3'] Exploring Operation: 14+49=63, Resulting Numbers: [3, 63] Generated Node #3: [3, 63] from Operation: 14+49=63 Current State: 21:[3, 63], Operations: ['93/31=3', '14+49=63'] Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 61, 6, 16 ]
73
[ "2+61=63", "16-6=10", "63+10=73" ]
Current State: 73:[2, 61, 6, 16], Operations: [] Exploring Operation: 2+61=63, Resulting Numbers: [6, 16, 63] Generated Node #2: [6, 16, 63] from Operation: 2+61=63 Current State: 73:[6, 16, 63], Operations: ['2+61=63'] Exploring Operation: 16-6=10, Resulting Numbers: [63, 10] Generated Node #3: [63, 10] from Operation: 16-6=10 Current State: 73:[63, 10], Operations: ['2+61=63', '16-6=10'] Exploring Operation: 63+10=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 94, 93, 83, 69 ]
13
[ "94-93=1", "83-69=14", "14-1=13" ]
Current State: 13:[94, 93, 83, 69], Operations: [] Exploring Operation: 94-93=1, Resulting Numbers: [83, 69, 1] Generated Node #2: [83, 69, 1] from Operation: 94-93=1 Current State: 13:[83, 69, 1], Operations: ['94-93=1'] Exploring Operation: 83-69=14, Resulting Numbers: [1, 14] Generated Node #3: [1, 14] from Operation: 83-69=14 Current State: 13:[1, 14], Operations: ['94-93=1', '83-69=14'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 30, 1, 27, 69 ]
65
[ "30+1=31", "27+69=96", "96-31=65" ]
Current State: 65:[30, 1, 27, 69], Operations: [] Exploring Operation: 30+1=31, Resulting Numbers: [27, 69, 31] Generated Node #2: [27, 69, 31] from Operation: 30+1=31 Current State: 65:[27, 69, 31], Operations: ['30+1=31'] Exploring Operation: 27+69=96, Resulting Numbers: [31, 96] Generated Node #3: [31, 96] from Operation: 27+69=96 Current State: 65:[31, 96], Operations: ['30+1=31', '27+69=96'] Exploring Operation: 96-31=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 41, 84, 12, 36 ]
43
[ "84-12=72", "72/36=2", "41+2=43" ]
Current State: 43:[41, 84, 12, 36], Operations: [] Exploring Operation: 84-12=72, Resulting Numbers: [41, 36, 72] Generated Node #2: [41, 36, 72] from Operation: 84-12=72 Current State: 43:[41, 36, 72], Operations: ['84-12=72'] Exploring Operation: 72/36=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 72/36=2 Current State: 43:[41, 2], Operations: ['84-12=72', '72/36=2'] Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 57, 44, 84, 26 ]
42
[ "57-44=13", "84*13=1092", "1092/26=42" ]
Current State: 42:[57, 44, 84, 26], Operations: [] Exploring Operation: 57-44=13, Resulting Numbers: [84, 26, 13] Generated Node #2: [84, 26, 13] from Operation: 57-44=13 Current State: 42:[84, 26, 13], Operations: ['57-44=13'] Exploring Operation: 84*13=1092, Resulting Numbers: [26, 1092] Generated Node #3: [26, 1092] from Operation: 84*13=1092 Current State: 42:[26, 1092], Operations: ['57-44=13', '84*13=1092'] Exploring Operation: 1092/26=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 33, 93, 43, 19 ]
22
[ "43+19=62", "33*62=2046", "2046/93=22" ]
Current State: 22:[33, 93, 43, 19], Operations: [] Exploring Operation: 43+19=62, Resulting Numbers: [33, 93, 62] Generated Node #2: [33, 93, 62] from Operation: 43+19=62 Current State: 22:[33, 93, 62], Operations: ['43+19=62'] Exploring Operation: 33*62=2046, Resulting Numbers: [93, 2046] Generated Node #3: [93, 2046] from Operation: 33*62=2046 Current State: 22:[93, 2046], Operations: ['43+19=62', '33*62=2046'] Exploring Operation: 2046/93=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 52, 6, 15, 42 ]
53
[ "42/6=7", "15*7=105", "105-52=53" ]
Current State: 53:[52, 6, 15, 42], Operations: [] Exploring Operation: 42/6=7, Resulting Numbers: [52, 15, 7] Generated Node #2: [52, 15, 7] from Operation: 42/6=7 Current State: 53:[52, 15, 7], Operations: ['42/6=7'] Exploring Operation: 15*7=105, Resulting Numbers: [52, 105] Generated Node #3: [52, 105] from Operation: 15*7=105 Current State: 53:[52, 105], Operations: ['42/6=7', '15*7=105'] Exploring Operation: 105-52=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 77, 63, 12, 7 ]
32
[ "77+63=140", "140/7=20", "12+20=32" ]
Current State: 32:[77, 63, 12, 7], Operations: [] Exploring Operation: 77+63=140, Resulting Numbers: [12, 7, 140] Generated Node #2: [12, 7, 140] from Operation: 77+63=140 Current State: 32:[12, 7, 140], Operations: ['77+63=140'] Exploring Operation: 140/7=20, Resulting Numbers: [12, 20] Generated Node #3: [12, 20] from Operation: 140/7=20 Current State: 32:[12, 20], Operations: ['77+63=140', '140/7=20'] Exploring Operation: 12+20=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 30, 63, 67, 96 ]
65
[ "30+96=126", "126/63=2", "67-2=65" ]
Current State: 65:[30, 63, 67, 96], Operations: [] Exploring Operation: 30+96=126, Resulting Numbers: [63, 67, 126] Generated Node #2: [63, 67, 126] from Operation: 30+96=126 Current State: 65:[63, 67, 126], Operations: ['30+96=126'] Exploring Operation: 126/63=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 126/63=2 Current State: 65:[67, 2], Operations: ['30+96=126', '126/63=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 86, 4, 42, 36 ]
41
[ "86+42=128", "36+128=164", "164/4=41" ]
Current State: 41:[86, 4, 42, 36], Operations: [] Exploring Operation: 86+42=128, Resulting Numbers: [4, 36, 128] Generated Node #2: [4, 36, 128] from Operation: 86+42=128 Current State: 41:[4, 36, 128], Operations: ['86+42=128'] Exploring Operation: 36+128=164, Resulting Numbers: [4, 164] Generated Node #3: [4, 164] from Operation: 36+128=164 Current State: 41:[4, 164], Operations: ['86+42=128', '36+128=164'] Exploring Operation: 164/4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 33, 85, 48, 49 ]
51
[ "85-33=52", "49-48=1", "52-1=51" ]
Current State: 51:[33, 85, 48, 49], Operations: [] Exploring Operation: 85-33=52, Resulting Numbers: [48, 49, 52] Generated Node #2: [48, 49, 52] from Operation: 85-33=52 Current State: 51:[48, 49, 52], Operations: ['85-33=52'] Exploring Operation: 49-48=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 49-48=1 Current State: 51:[52, 1], Operations: ['85-33=52', '49-48=1'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 19, 21, 16, 21 ]
13
[ "21-19=2", "16/2=8", "21-8=13" ]
Current State: 13:[19, 21, 16, 21], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [16, 2] Generated Node #2: [16, 2] from Operation: 21-19=2 Current State: 13:[16, 2], Operations: ['21-19=2'] Exploring Operation: 16/2=8, Resulting Numbers: [8] 8,13 equal: Goal Reached Exploring Operation: 21-8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 78, 50, 41, 3 ]
81
[ "50-41=9", "9/3=3", "78+3=81" ]
Current State: 81:[78, 50, 41, 3], Operations: [] Exploring Operation: 50-41=9, Resulting Numbers: [78, 3, 9] Generated Node #2: [78, 3, 9] from Operation: 50-41=9 Current State: 81:[78, 3, 9], Operations: ['50-41=9'] Exploring Operation: 9/3=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 9/3=3 Current State: 81:[78, 3], Operations: ['50-41=9', '9/3=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 58, 34, 76, 1 ]
15
[ "58+34=92", "76+1=77", "92-77=15" ]
Current State: 15:[58, 34, 76, 1], Operations: [] Exploring Operation: 58+34=92, Resulting Numbers: [76, 1, 92] Generated Node #2: [76, 1, 92] from Operation: 58+34=92 Current State: 15:[76, 1, 92], Operations: ['58+34=92'] Exploring Operation: 76+1=77, Resulting Numbers: [92, 77] Generated Node #3: [92, 77] from Operation: 76+1=77 Current State: 15:[92, 77], Operations: ['58+34=92', '76+1=77'] Exploring Operation: 92-77=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 70, 34, 90, 9 ]
94
[ "70+34=104", "90/9=10", "104-10=94" ]
Current State: 94:[70, 34, 90, 9], Operations: [] Exploring Operation: 70+34=104, Resulting Numbers: [90, 9, 104] Generated Node #2: [90, 9, 104] from Operation: 70+34=104 Current State: 94:[90, 9, 104], Operations: ['70+34=104'] Exploring Operation: 90/9=10, Resulting Numbers: [104, 10] Generated Node #3: [104, 10] from Operation: 90/9=10 Current State: 94:[104, 10], Operations: ['70+34=104', '90/9=10'] Exploring Operation: 104-10=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 6, 5, 23, 62 ]
50
[ "6+5=11", "62-23=39", "11+39=50" ]
Current State: 50:[6, 5, 23, 62], Operations: [] Exploring Operation: 6+5=11, Resulting Numbers: [23, 62, 11] Generated Node #2: [23, 62, 11] from Operation: 6+5=11 Current State: 50:[23, 62, 11], Operations: ['6+5=11'] Exploring Operation: 62-23=39, Resulting Numbers: [11, 39] Generated Node #3: [11, 39] from Operation: 62-23=39 Current State: 50:[11, 39], Operations: ['6+5=11', '62-23=39'] Exploring Operation: 11+39=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 81, 10, 35, 94 ]
50
[ "81+94=175", "10*175=1750", "1750/35=50" ]
Current State: 50:[81, 10, 35, 94], Operations: [] Exploring Operation: 81+94=175, Resulting Numbers: [10, 35, 175] Generated Node #2: [10, 35, 175] from Operation: 81+94=175 Current State: 50:[10, 35, 175], Operations: ['81+94=175'] Exploring Operation: 10*175=1750, Resulting Numbers: [35, 1750] Generated Node #3: [35, 1750] from Operation: 10*175=1750 Current State: 50:[35, 1750], Operations: ['81+94=175', '10*175=1750'] Exploring Operation: 1750/35=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 30, 72, 53, 73 ]
82
[ "30+72=102", "73-53=20", "102-20=82" ]
Current State: 82:[30, 72, 53, 73], Operations: [] Exploring Operation: 30+72=102, Resulting Numbers: [53, 73, 102] Generated Node #2: [53, 73, 102] from Operation: 30+72=102 Current State: 82:[53, 73, 102], Operations: ['30+72=102'] Exploring Operation: 73-53=20, Resulting Numbers: [102, 20] Generated Node #3: [102, 20] from Operation: 73-53=20 Current State: 82:[102, 20], Operations: ['30+72=102', '73-53=20'] Exploring Operation: 102-20=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 8, 62, 17, 5 ]
93
[ "17-5=12", "62*12=744", "744/8=93" ]
Current State: 93:[8, 62, 17, 5], Operations: [] Exploring Operation: 17-5=12, Resulting Numbers: [8, 62, 12] Generated Node #2: [8, 62, 12] from Operation: 17-5=12 Current State: 93:[8, 62, 12], Operations: ['17-5=12'] Exploring Operation: 62*12=744, Resulting Numbers: [8, 744] Generated Node #3: [8, 744] from Operation: 62*12=744 Current State: 93:[8, 744], Operations: ['17-5=12', '62*12=744'] Exploring Operation: 744/8=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 76, 23, 75, 72 ]
95
[ "76-75=1", "23+72=95", "1*95=95" ]
Current State: 95:[76, 23, 75, 72], Operations: [] Exploring Operation: 76-75=1, Resulting Numbers: [23, 72, 1] Generated Node #2: [23, 72, 1] from Operation: 76-75=1 Current State: 95:[23, 72, 1], Operations: ['76-75=1'] Exploring Operation: 23+72=95, Resulting Numbers: [1, 95] Generated Node #3: [1, 95] from Operation: 23+72=95 Current State: 95:[1, 95], Operations: ['76-75=1', '23+72=95'] Exploring Operation: 1*95=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 93, 33, 73, 78 ]
65
[ "93-33=60", "78-73=5", "60+5=65" ]
Current State: 65:[93, 33, 73, 78], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [73, 78, 60] Generated Node #2: [73, 78, 60] from Operation: 93-33=60 Current State: 65:[73, 78, 60], Operations: ['93-33=60'] Exploring Operation: 78-73=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 78-73=5 Current State: 65:[60, 5], Operations: ['93-33=60', '78-73=5'] Exploring Operation: 60+5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 49, 65, 49, 34 ]
30
[ "49/49=1", "65-34=31", "31-1=30" ]
Current State: 30:[49, 65, 49, 34], Operations: [] Exploring Operation: 49/49=1, Resulting Numbers: [65, 34, 1] Generated Node #2: [65, 34, 1] from Operation: 49/49=1 Current State: 30:[65, 34, 1], Operations: ['49/49=1'] Exploring Operation: 65-34=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 65-34=31 Current State: 30:[1, 31], Operations: ['49/49=1', '65-34=31'] Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 3, 65, 61, 30 ]
12
[ "65+61=126", "126/3=42", "42-30=12" ]
Current State: 12:[3, 65, 61, 30], Operations: [] Exploring Operation: 65+61=126, Resulting Numbers: [3, 30, 126] Generated Node #2: [3, 30, 126] from Operation: 65+61=126 Current State: 12:[3, 30, 126], Operations: ['65+61=126'] Exploring Operation: 126/3=42, Resulting Numbers: [30, 42] Generated Node #3: [30, 42] from Operation: 126/3=42 Current State: 12:[30, 42], Operations: ['65+61=126', '126/3=42'] Exploring Operation: 42-30=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 84, 34, 80, 94 ]
56
[ "84+34=118", "80+94=174", "174-118=56" ]
Current State: 56:[84, 34, 80, 94], Operations: [] Exploring Operation: 84+34=118, Resulting Numbers: [80, 94, 118] Generated Node #2: [80, 94, 118] from Operation: 84+34=118 Current State: 56:[80, 94, 118], Operations: ['84+34=118'] Exploring Operation: 80+94=174, Resulting Numbers: [118, 174] Generated Node #3: [118, 174] from Operation: 80+94=174 Current State: 56:[118, 174], Operations: ['84+34=118', '80+94=174'] Exploring Operation: 174-118=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 12, 78, 66, 26 ]
51
[ "66-12=54", "78/26=3", "54-3=51" ]
Current State: 51:[12, 78, 66, 26], Operations: [] Exploring Operation: 66-12=54, Resulting Numbers: [78, 26, 54] Generated Node #2: [78, 26, 54] from Operation: 66-12=54 Current State: 51:[78, 26, 54], Operations: ['66-12=54'] Exploring Operation: 78/26=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 78/26=3 Current State: 51:[54, 3], Operations: ['66-12=54', '78/26=3'] Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 30, 10, 65, 42 ]
20
[ "30/10=3", "65-42=23", "23-3=20" ]
Current State: 20:[30, 10, 65, 42], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [65, 42, 3] Generated Node #2: [65, 42, 3] from Operation: 30/10=3 Current State: 20:[65, 42, 3], Operations: ['30/10=3'] Exploring Operation: 65-42=23, Resulting Numbers: [3, 23] Generated Node #3: [3, 23] from Operation: 65-42=23 Current State: 20:[3, 23], Operations: ['30/10=3', '65-42=23'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 21, 11, 83, 38 ]
89
[ "21+11=32", "83+38=121", "121-32=89" ]
Current State: 89:[21, 11, 83, 38], Operations: [] Exploring Operation: 21+11=32, Resulting Numbers: [83, 38, 32] Generated Node #2: [83, 38, 32] from Operation: 21+11=32 Current State: 89:[83, 38, 32], Operations: ['21+11=32'] Exploring Operation: 83+38=121, Resulting Numbers: [32, 121] Generated Node #3: [32, 121] from Operation: 83+38=121 Current State: 89:[32, 121], Operations: ['21+11=32', '83+38=121'] Exploring Operation: 121-32=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 60, 36, 59, 66 ]
57
[ "66-36=30", "60/30=2", "59-2=57" ]
Current State: 57:[60, 36, 59, 66], Operations: [] Exploring Operation: 66-36=30, Resulting Numbers: [60, 59, 30] Generated Node #2: [60, 59, 30] from Operation: 66-36=30 Current State: 57:[60, 59, 30], Operations: ['66-36=30'] Exploring Operation: 60/30=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 60/30=2 Current State: 57:[59, 2], Operations: ['66-36=30', '60/30=2'] Exploring Operation: 59-2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 3, 17, 52, 4 ]
67
[ "3+4=7", "17*7=119", "119-52=67" ]
Current State: 67:[3, 17, 52, 4], Operations: [] Exploring Operation: 3+4=7, Resulting Numbers: [17, 52, 7] Generated Node #2: [17, 52, 7] from Operation: 3+4=7 Current State: 67:[17, 52, 7], Operations: ['3+4=7'] Exploring Operation: 17*7=119, Resulting Numbers: [52, 119] Generated Node #3: [52, 119] from Operation: 17*7=119 Current State: 67:[52, 119], Operations: ['3+4=7', '17*7=119'] Exploring Operation: 119-52=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 93, 89, 91, 13 ]
39
[ "93-89=4", "13*4=52", "91-52=39" ]
Current State: 39:[93, 89, 91, 13], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [91, 13, 4] Generated Node #2: [91, 13, 4] from Operation: 93-89=4 Current State: 39:[91, 13, 4], Operations: ['93-89=4'] Exploring Operation: 13*4=52, Resulting Numbers: [91, 52] Generated Node #3: [91, 52] from Operation: 13*4=52 Current State: 39:[91, 52], Operations: ['93-89=4', '13*4=52'] Exploring Operation: 91-52=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 72, 85, 83, 58 ]
65
[ "72+58=130", "85-83=2", "130/2=65" ]
Current State: 65:[72, 85, 83, 58], Operations: [] Exploring Operation: 72+58=130, Resulting Numbers: [85, 83, 130] Generated Node #2: [85, 83, 130] from Operation: 72+58=130 Current State: 65:[85, 83, 130], Operations: ['72+58=130'] Exploring Operation: 85-83=2, Resulting Numbers: [130, 2] Generated Node #3: [130, 2] from Operation: 85-83=2 Current State: 65:[130, 2], Operations: ['72+58=130', '85-83=2'] Exploring Operation: 130/2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 61, 3, 57, 66 ]
95
[ "66-61=5", "57/3=19", "5*19=95" ]
Current State: 95:[61, 3, 57, 66], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [3, 57, 5] Generated Node #2: [3, 57, 5] from Operation: 66-61=5 Current State: 95:[3, 57, 5], Operations: ['66-61=5'] Exploring Operation: 57/3=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 57/3=19 Current State: 95:[5, 19], Operations: ['66-61=5', '57/3=19'] Exploring Operation: 5*19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 3, 78, 9, 33 ]
68
[ "78/3=26", "9+33=42", "26+42=68" ]
Current State: 68:[3, 78, 9, 33], Operations: [] Exploring Operation: 78/3=26, Resulting Numbers: [9, 33, 26] Generated Node #2: [9, 33, 26] from Operation: 78/3=26 Current State: 68:[9, 33, 26], Operations: ['78/3=26'] Exploring Operation: 9+33=42, Resulting Numbers: [26, 42] Generated Node #3: [26, 42] from Operation: 9+33=42 Current State: 68:[26, 42], Operations: ['78/3=26', '9+33=42'] Exploring Operation: 26+42=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 28, 62, 24, 94 ]
36
[ "62-28=34", "94-24=70", "70-34=36" ]
Current State: 36:[28, 62, 24, 94], Operations: [] Exploring Operation: 62-28=34, Resulting Numbers: [24, 94, 34] Generated Node #2: [24, 94, 34] from Operation: 62-28=34 Current State: 36:[24, 94, 34], Operations: ['62-28=34'] Exploring Operation: 94-24=70, Resulting Numbers: [34, 70] Generated Node #3: [34, 70] from Operation: 94-24=70 Current State: 36:[34, 70], Operations: ['62-28=34', '94-24=70'] Exploring Operation: 70-34=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 35, 71, 95, 73 ]
84
[ "35+71=106", "95-73=22", "106-22=84" ]
Current State: 84:[35, 71, 95, 73], Operations: [] Exploring Operation: 35+71=106, Resulting Numbers: [95, 73, 106] Generated Node #2: [95, 73, 106] from Operation: 35+71=106 Current State: 84:[95, 73, 106], Operations: ['35+71=106'] Exploring Operation: 95-73=22, Resulting Numbers: [106, 22] Generated Node #3: [106, 22] from Operation: 95-73=22 Current State: 84:[106, 22], Operations: ['35+71=106', '95-73=22'] Exploring Operation: 106-22=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 24, 72, 18, 76 ]
46
[ "72-24=48", "18+76=94", "94-48=46" ]
Current State: 46:[24, 72, 18, 76], Operations: [] Exploring Operation: 72-24=48, Resulting Numbers: [18, 76, 48] Generated Node #2: [18, 76, 48] from Operation: 72-24=48 Current State: 46:[18, 76, 48], Operations: ['72-24=48'] Exploring Operation: 18+76=94, Resulting Numbers: [48, 94] Generated Node #3: [48, 94] from Operation: 18+76=94 Current State: 46:[48, 94], Operations: ['72-24=48', '18+76=94'] Exploring Operation: 94-48=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 93, 84, 74, 80 ]
76
[ "93-74=19", "84-80=4", "19*4=76" ]
Current State: 76:[93, 84, 74, 80], Operations: [] Exploring Operation: 93-74=19, Resulting Numbers: [84, 80, 19] Generated Node #2: [84, 80, 19] from Operation: 93-74=19 Current State: 76:[84, 80, 19], Operations: ['93-74=19'] Exploring Operation: 84-80=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 84-80=4 Current State: 76:[19, 4], Operations: ['93-74=19', '84-80=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 33, 88, 14, 58 ]
66
[ "33*88=2904", "58-14=44", "2904/44=66" ]
Current State: 66:[33, 88, 14, 58], Operations: [] Exploring Operation: 33*88=2904, Resulting Numbers: [14, 58, 2904] Generated Node #2: [14, 58, 2904] from Operation: 33*88=2904 Current State: 66:[14, 58, 2904], Operations: ['33*88=2904'] Exploring Operation: 58-14=44, Resulting Numbers: [2904, 44] Generated Node #3: [2904, 44] from Operation: 58-14=44 Current State: 66:[2904, 44], Operations: ['33*88=2904', '58-14=44'] Exploring Operation: 2904/44=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 53, 11, 67, 81 ]
78
[ "53+11=64", "81-67=14", "64+14=78" ]
Current State: 78:[53, 11, 67, 81], Operations: [] Exploring Operation: 53+11=64, Resulting Numbers: [67, 81, 64] Generated Node #2: [67, 81, 64] from Operation: 53+11=64 Current State: 78:[67, 81, 64], Operations: ['53+11=64'] Exploring Operation: 81-67=14, Resulting Numbers: [64, 14] Generated Node #3: [64, 14] from Operation: 81-67=14 Current State: 78:[64, 14], Operations: ['53+11=64', '81-67=14'] Exploring Operation: 64+14=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 95, 50, 27, 97 ]
52
[ "97-95=2", "50/2=25", "27+25=52" ]
Current State: 52:[95, 50, 27, 97], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [50, 27, 2] Generated Node #2: [50, 27, 2] from Operation: 97-95=2 Current State: 52:[50, 27, 2], Operations: ['97-95=2'] Exploring Operation: 50/2=25, Resulting Numbers: [27, 25] Generated Node #3: [27, 25] from Operation: 50/2=25 Current State: 52:[27, 25], Operations: ['97-95=2', '50/2=25'] Exploring Operation: 27+25=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 96, 81, 69, 73 ]
57
[ "81-73=8", "96/8=12", "69-12=57" ]
Current State: 57:[96, 81, 69, 73], Operations: [] Exploring Operation: 81-73=8, Resulting Numbers: [96, 69, 8] Generated Node #2: [96, 69, 8] from Operation: 81-73=8 Current State: 57:[96, 69, 8], Operations: ['81-73=8'] Exploring Operation: 96/8=12, Resulting Numbers: [69, 12] Generated Node #3: [69, 12] from Operation: 96/8=12 Current State: 57:[69, 12], Operations: ['81-73=8', '96/8=12'] Exploring Operation: 69-12=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 3, 2, 8, 45 ]
31
[ "3*2=6", "45-8=37", "37-6=31" ]
Current State: 31:[3, 2, 8, 45], Operations: [] Exploring Operation: 3*2=6, Resulting Numbers: [8, 45, 6] Generated Node #2: [8, 45, 6] from Operation: 3*2=6 Current State: 31:[8, 45, 6], Operations: ['3*2=6'] Exploring Operation: 45-8=37, Resulting Numbers: [6, 37] Generated Node #3: [6, 37] from Operation: 45-8=37 Current State: 31:[6, 37], Operations: ['3*2=6', '45-8=37'] Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 16, 4, 26, 53 ]
23
[ "16/4=4", "53-26=27", "27-4=23" ]
Current State: 23:[16, 4, 26, 53], Operations: [] Exploring Operation: 16/4=4, Resulting Numbers: [26, 53, 4] Generated Node #2: [26, 53, 4] from Operation: 16/4=4 Current State: 23:[26, 53, 4], Operations: ['16/4=4'] Exploring Operation: 53-26=27, Resulting Numbers: [4, 27] Generated Node #3: [4, 27] from Operation: 53-26=27 Current State: 23:[4, 27], Operations: ['16/4=4', '53-26=27'] Exploring Operation: 27-4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 53, 20, 87, 68 ]
52
[ "53-20=33", "87-68=19", "33+19=52" ]
Current State: 52:[53, 20, 87, 68], Operations: [] Exploring Operation: 53-20=33, Resulting Numbers: [87, 68, 33] Generated Node #2: [87, 68, 33] from Operation: 53-20=33 Current State: 52:[87, 68, 33], Operations: ['53-20=33'] Exploring Operation: 87-68=19, Resulting Numbers: [33, 19] Generated Node #3: [33, 19] from Operation: 87-68=19 Current State: 52:[33, 19], Operations: ['53-20=33', '87-68=19'] Exploring Operation: 33+19=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4