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
[ 80, 70, 5, 15 ]
33
[ "80+70=150", "15+150=165", "165/5=33" ]
Current State: 33:[80, 70, 5, 15], Operations: [] Exploring Operation: 80+70=150, Resulting Numbers: [5, 15, 150] Generated Node #2: [5, 15, 150] from Operation: 80+70=150 Current State: 33:[5, 15, 150], Operations: ['80+70=150'] Exploring Operation: 15+150=165, Resulting Numbers: [5, 165] Generated Node #3: [5, 165] from Operation: 15+150=165 Current State: 33:[5, 165], Operations: ['80+70=150', '15+150=165'] Exploring Operation: 165/5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 6, 60, 18, 90 ]
33
[ "18/6=3", "90-60=30", "3+30=33" ]
Current State: 33:[6, 60, 18, 90], Operations: [] Exploring Operation: 18/6=3, Resulting Numbers: [60, 90, 3] Generated Node #2: [60, 90, 3] from Operation: 18/6=3 Current State: 33:[60, 90, 3], Operations: ['18/6=3'] Exploring Operation: 90-60=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 90-60=30 Current State: 33:[3, 30], Operations: ['18/6=3', '90-60=30'] Exploring Operation: 3+30=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 15, 18, 43, 42 ]
29
[ "18-15=3", "42/3=14", "43-14=29" ]
Current State: 29:[15, 18, 43, 42], Operations: [] Exploring Operation: 18-15=3, Resulting Numbers: [43, 42, 3] Generated Node #2: [43, 42, 3] from Operation: 18-15=3 Current State: 29:[43, 42, 3], Operations: ['18-15=3'] Exploring Operation: 42/3=14, Resulting Numbers: [43, 14] Generated Node #3: [43, 14] from Operation: 42/3=14 Current State: 29:[43, 14], Operations: ['18-15=3', '42/3=14'] Exploring Operation: 43-14=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 56, 98, 36, 39 ]
24
[ "98*36=3528", "3528/56=63", "63-39=24" ]
Current State: 24:[56, 98, 36, 39], Operations: [] Exploring Operation: 98*36=3528, Resulting Numbers: [56, 39, 3528] Generated Node #2: [56, 39, 3528] from Operation: 98*36=3528 Current State: 24:[56, 39, 3528], Operations: ['98*36=3528'] Exploring Operation: 3528/56=63, Resulting Numbers: [39, 63] Generated Node #3: [39, 63] from Operation: 3528/56=63 Current State: 24:[39, 63], Operations: ['98*36=3528', '3528/56=63'] Exploring Operation: 63-39=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 14, 94, 92, 14 ]
56
[ "14+14=28", "94-92=2", "28*2=56" ]
Current State: 56:[14, 94, 92, 14], Operations: [] Exploring Operation: 14+14=28, Resulting Numbers: [94, 92, 28] Generated Node #2: [94, 92, 28] from Operation: 14+14=28 Current State: 56:[94, 92, 28], Operations: ['14+14=28'] Exploring Operation: 94-92=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 94-92=2 Current State: 56:[28, 2], Operations: ['14+14=28', '94-92=2'] Exploring Operation: 28*2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 53, 8, 90, 36 ]
99
[ "53-8=45", "90-36=54", "45+54=99" ]
Current State: 99:[53, 8, 90, 36], Operations: [] Exploring Operation: 53-8=45, Resulting Numbers: [90, 36, 45] Generated Node #2: [90, 36, 45] from Operation: 53-8=45 Current State: 99:[90, 36, 45], Operations: ['53-8=45'] Exploring Operation: 90-36=54, Resulting Numbers: [45, 54] Generated Node #3: [45, 54] from Operation: 90-36=54 Current State: 99:[45, 54], Operations: ['53-8=45', '90-36=54'] Exploring Operation: 45+54=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 49, 49, 99, 11 ]
87
[ "49/49=1", "99-11=88", "88-1=87" ]
Current State: 87:[49, 49, 99, 11], Operations: [] Exploring Operation: 49/49=1, Resulting Numbers: [99, 11, 1] Generated Node #2: [99, 11, 1] from Operation: 49/49=1 Current State: 87:[99, 11, 1], Operations: ['49/49=1'] Exploring Operation: 99-11=88, Resulting Numbers: [1, 88] Generated Node #3: [1, 88] from Operation: 99-11=88 Current State: 87:[1, 88], Operations: ['49/49=1', '99-11=88'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 20, 40, 22, 58 ]
96
[ "20+40=60", "58-22=36", "60+36=96" ]
Current State: 96:[20, 40, 22, 58], Operations: [] Exploring Operation: 20+40=60, Resulting Numbers: [22, 58, 60] Generated Node #2: [22, 58, 60] from Operation: 20+40=60 Current State: 96:[22, 58, 60], Operations: ['20+40=60'] Exploring Operation: 58-22=36, Resulting Numbers: [60, 36] Generated Node #3: [60, 36] from Operation: 58-22=36 Current State: 96:[60, 36], Operations: ['20+40=60', '58-22=36'] Exploring Operation: 60+36=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 14, 47, 75, 96 ]
40
[ "14+47=61", "96-75=21", "61-21=40" ]
Current State: 40:[14, 47, 75, 96], Operations: [] Exploring Operation: 14+47=61, Resulting Numbers: [75, 96, 61] Generated Node #2: [75, 96, 61] from Operation: 14+47=61 Current State: 40:[75, 96, 61], Operations: ['14+47=61'] Exploring Operation: 96-75=21, Resulting Numbers: [61, 21] Generated Node #3: [61, 21] from Operation: 96-75=21 Current State: 40:[61, 21], Operations: ['14+47=61', '96-75=21'] Exploring Operation: 61-21=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 66, 89, 3, 48 ]
61
[ "66*3=198", "89+48=137", "198-137=61" ]
Current State: 61:[66, 89, 3, 48], Operations: [] Exploring Operation: 66*3=198, Resulting Numbers: [89, 48, 198] Generated Node #2: [89, 48, 198] from Operation: 66*3=198 Current State: 61:[89, 48, 198], Operations: ['66*3=198'] Exploring Operation: 89+48=137, Resulting Numbers: [198, 137] Generated Node #3: [198, 137] from Operation: 89+48=137 Current State: 61:[198, 137], Operations: ['66*3=198', '89+48=137'] Exploring Operation: 198-137=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 54, 68, 43, 43 ]
54
[ "43-43=0", "68*0=0", "54+0=54" ]
Current State: 54:[54, 68, 43, 43], Operations: [] Exploring Operation: 43-43=0, Resulting Numbers: [54, 68, 0] Generated Node #2: [54, 68, 0] from Operation: 43-43=0 Current State: 54:[54, 68, 0], Operations: ['43-43=0'] Exploring Operation: 68*0=0, Resulting Numbers: [54, 0] Generated Node #3: [54, 0] from Operation: 68*0=0 Current State: 54:[54, 0], Operations: ['43-43=0', '68*0=0'] Exploring Operation: 54+0=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 84, 28, 48, 5 ]
50
[ "84/28=3", "48+5=53", "53-3=50" ]
Current State: 50:[84, 28, 48, 5], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [48, 5, 3] Generated Node #2: [48, 5, 3] from Operation: 84/28=3 Current State: 50:[48, 5, 3], Operations: ['84/28=3'] Exploring Operation: 48+5=53, Resulting Numbers: [3, 53] Generated Node #3: [3, 53] from Operation: 48+5=53 Current State: 50:[3, 53], Operations: ['84/28=3', '48+5=53'] Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 73, 88, 77, 15 ]
69
[ "73+88=161", "77+15=92", "161-92=69" ]
Current State: 69:[73, 88, 77, 15], Operations: [] Exploring Operation: 73+88=161, Resulting Numbers: [77, 15, 161] Generated Node #2: [77, 15, 161] from Operation: 73+88=161 Current State: 69:[77, 15, 161], Operations: ['73+88=161'] Exploring Operation: 77+15=92, Resulting Numbers: [161, 92] Generated Node #3: [161, 92] from Operation: 77+15=92 Current State: 69:[161, 92], Operations: ['73+88=161', '77+15=92'] Exploring Operation: 161-92=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 32, 72, 64, 22 ]
100
[ "64/32=2", "72-22=50", "2*50=100" ]
Current State: 100:[32, 72, 64, 22], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [72, 22, 2] Generated Node #2: [72, 22, 2] from Operation: 64/32=2 Current State: 100:[72, 22, 2], Operations: ['64/32=2'] Exploring Operation: 72-22=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 72-22=50 Current State: 100:[2, 50], Operations: ['64/32=2', '72-22=50'] Exploring Operation: 2*50=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 37, 79, 98, 43 ]
25
[ "37+79=116", "98+43=141", "141-116=25" ]
Current State: 25:[37, 79, 98, 43], Operations: [] Exploring Operation: 37+79=116, Resulting Numbers: [98, 43, 116] Generated Node #2: [98, 43, 116] from Operation: 37+79=116 Current State: 25:[98, 43, 116], Operations: ['37+79=116'] Exploring Operation: 98+43=141, Resulting Numbers: [116, 141] Generated Node #3: [116, 141] from Operation: 98+43=141 Current State: 25:[116, 141], Operations: ['37+79=116', '98+43=141'] Exploring Operation: 141-116=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 6, 2, 36, 76 ]
50
[ "36+76=112", "112/2=56", "56-6=50" ]
Current State: 50:[6, 2, 36, 76], Operations: [] Exploring Operation: 36+76=112, Resulting Numbers: [6, 2, 112] Generated Node #2: [6, 2, 112] from Operation: 36+76=112 Current State: 50:[6, 2, 112], Operations: ['36+76=112'] Exploring Operation: 112/2=56, Resulting Numbers: [6, 56] Generated Node #3: [6, 56] from Operation: 112/2=56 Current State: 50:[6, 56], Operations: ['36+76=112', '112/2=56'] Exploring Operation: 56-6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 51, 20, 35, 93 ]
13
[ "51+20=71", "93-35=58", "71-58=13" ]
Current State: 13:[51, 20, 35, 93], Operations: [] Exploring Operation: 51+20=71, Resulting Numbers: [35, 93, 71] Generated Node #2: [35, 93, 71] from Operation: 51+20=71 Current State: 13:[35, 93, 71], Operations: ['51+20=71'] Exploring Operation: 93-35=58, Resulting Numbers: [71, 58] Generated Node #3: [71, 58] from Operation: 93-35=58 Current State: 13:[71, 58], Operations: ['51+20=71', '93-35=58'] Exploring Operation: 71-58=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 54, 14, 91, 56 ]
33
[ "54+14=68", "91-56=35", "68-35=33" ]
Current State: 33:[54, 14, 91, 56], Operations: [] Exploring Operation: 54+14=68, Resulting Numbers: [91, 56, 68] Generated Node #2: [91, 56, 68] from Operation: 54+14=68 Current State: 33:[91, 56, 68], Operations: ['54+14=68'] Exploring Operation: 91-56=35, Resulting Numbers: [68, 35] Generated Node #3: [68, 35] from Operation: 91-56=35 Current State: 33:[68, 35], Operations: ['54+14=68', '91-56=35'] Exploring Operation: 68-35=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 6, 74, 38, 4 ]
43
[ "74*4=296", "296-38=258", "258/6=43" ]
Current State: 43:[6, 74, 38, 4], Operations: [] Exploring Operation: 74*4=296, Resulting Numbers: [6, 38, 296] Generated Node #2: [6, 38, 296] from Operation: 74*4=296 Current State: 43:[6, 38, 296], Operations: ['74*4=296'] Exploring Operation: 296-38=258, Resulting Numbers: [6, 258] Generated Node #3: [6, 258] from Operation: 296-38=258 Current State: 43:[6, 258], Operations: ['74*4=296', '296-38=258'] Exploring Operation: 258/6=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 73, 89, 9, 2 ]
36
[ "73+89=162", "162/9=18", "2*18=36" ]
Current State: 36:[73, 89, 9, 2], Operations: [] Exploring Operation: 73+89=162, Resulting Numbers: [9, 2, 162] Generated Node #2: [9, 2, 162] from Operation: 73+89=162 Current State: 36:[9, 2, 162], Operations: ['73+89=162'] Exploring Operation: 162/9=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 162/9=18 Current State: 36:[2, 18], Operations: ['73+89=162', '162/9=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 90, 2, 47, 4 ]
92
[ "90*2=180", "180/4=45", "47+45=92" ]
Current State: 92:[90, 2, 47, 4], Operations: [] Exploring Operation: 90*2=180, Resulting Numbers: [47, 4, 180] Generated Node #2: [47, 4, 180] from Operation: 90*2=180 Current State: 92:[47, 4, 180], Operations: ['90*2=180'] Exploring Operation: 180/4=45, Resulting Numbers: [47, 45] Generated Node #3: [47, 45] from Operation: 180/4=45 Current State: 92:[47, 45], Operations: ['90*2=180', '180/4=45'] Exploring Operation: 47+45=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 89, 51, 18, 60 ]
40
[ "89-51=38", "18+60=78", "78-38=40" ]
Current State: 40:[89, 51, 18, 60], Operations: [] Exploring Operation: 89-51=38, Resulting Numbers: [18, 60, 38] Generated Node #2: [18, 60, 38] from Operation: 89-51=38 Current State: 40:[18, 60, 38], Operations: ['89-51=38'] Exploring Operation: 18+60=78, Resulting Numbers: [38, 78] Generated Node #3: [38, 78] from Operation: 18+60=78 Current State: 40:[38, 78], Operations: ['89-51=38', '18+60=78'] Exploring Operation: 78-38=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 96, 82, 58, 53 ]
97
[ "96-82=14", "58+53=111", "111-14=97" ]
Current State: 97:[96, 82, 58, 53], Operations: [] Exploring Operation: 96-82=14, Resulting Numbers: [58, 53, 14] Generated Node #2: [58, 53, 14] from Operation: 96-82=14 Current State: 97:[58, 53, 14], Operations: ['96-82=14'] Exploring Operation: 58+53=111, Resulting Numbers: [14, 111] Generated Node #3: [14, 111] from Operation: 58+53=111 Current State: 97:[14, 111], Operations: ['96-82=14', '58+53=111'] Exploring Operation: 111-14=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 2, 86, 14, 80 ]
56
[ "86-2=84", "84-80=4", "14*4=56" ]
Current State: 56:[2, 86, 14, 80], Operations: [] Exploring Operation: 86-2=84, Resulting Numbers: [14, 80, 84] Generated Node #2: [14, 80, 84] from Operation: 86-2=84 Current State: 56:[14, 80, 84], Operations: ['86-2=84'] Exploring Operation: 84-80=4, Resulting Numbers: [14, 4] Generated Node #3: [14, 4] from Operation: 84-80=4 Current State: 56:[14, 4], Operations: ['86-2=84', '84-80=4'] Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 39, 17, 10, 29 ]
83
[ "39-29=10", "10*10=100", "100-17=83" ]
Current State: 83:[39, 17, 10, 29], Operations: [] Exploring Operation: 39-29=10, Resulting Numbers: [17, 10, 10] Generated Node #2: [17, 10, 10] from Operation: 39-29=10 Current State: 83:[17, 10, 10], Operations: ['39-29=10'] Exploring Operation: 10*10=100, Resulting Numbers: [17, 100] Generated Node #3: [17, 100] from Operation: 10*10=100 Current State: 83:[17, 100], Operations: ['39-29=10', '10*10=100'] Exploring Operation: 100-17=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 52, 45, 60, 2 ]
82
[ "60-52=8", "45*2=90", "90-8=82" ]
Current State: 82:[52, 45, 60, 2], Operations: [] Exploring Operation: 60-52=8, Resulting Numbers: [45, 2, 8] Generated Node #2: [45, 2, 8] from Operation: 60-52=8 Current State: 82:[45, 2, 8], Operations: ['60-52=8'] Exploring Operation: 45*2=90, Resulting Numbers: [8, 90] Generated Node #3: [8, 90] from Operation: 45*2=90 Current State: 82:[8, 90], Operations: ['60-52=8', '45*2=90'] Exploring Operation: 90-8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 35, 45, 25, 22 ]
100
[ "25-22=3", "45*3=135", "135-35=100" ]
Current State: 100:[35, 45, 25, 22], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [35, 45, 3] Generated Node #2: [35, 45, 3] from Operation: 25-22=3 Current State: 100:[35, 45, 3], Operations: ['25-22=3'] Exploring Operation: 45*3=135, Resulting Numbers: [35, 135] Generated Node #3: [35, 135] from Operation: 45*3=135 Current State: 100:[35, 135], Operations: ['25-22=3', '45*3=135'] Exploring Operation: 135-35=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 26, 52, 18, 24 ]
15
[ "52/26=2", "18/2=9", "24-9=15" ]
Current State: 15:[26, 52, 18, 24], Operations: [] Exploring Operation: 52/26=2, Resulting Numbers: [18, 24, 2] Generated Node #2: [18, 24, 2] from Operation: 52/26=2 Current State: 15:[18, 24, 2], Operations: ['52/26=2'] Exploring Operation: 18/2=9, Resulting Numbers: [24, 9] Generated Node #3: [24, 9] from Operation: 18/2=9 Current State: 15:[24, 9], Operations: ['52/26=2', '18/2=9'] Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 26, 58, 22, 57 ]
46
[ "22*57=1254", "1254-58=1196", "1196/26=46" ]
Current State: 46:[26, 58, 22, 57], Operations: [] Exploring Operation: 22*57=1254, Resulting Numbers: [26, 58, 1254] Generated Node #2: [26, 58, 1254] from Operation: 22*57=1254 Current State: 46:[26, 58, 1254], Operations: ['22*57=1254'] Exploring Operation: 1254-58=1196, Resulting Numbers: [26, 1196] Generated Node #3: [26, 1196] from Operation: 1254-58=1196 Current State: 46:[26, 1196], Operations: ['22*57=1254', '1254-58=1196'] Exploring Operation: 1196/26=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 52, 91, 88, 13 ]
62
[ "91-52=39", "88+13=101", "101-39=62" ]
Current State: 62:[52, 91, 88, 13], Operations: [] Exploring Operation: 91-52=39, Resulting Numbers: [88, 13, 39] Generated Node #2: [88, 13, 39] from Operation: 91-52=39 Current State: 62:[88, 13, 39], Operations: ['91-52=39'] Exploring Operation: 88+13=101, Resulting Numbers: [39, 101] Generated Node #3: [39, 101] from Operation: 88+13=101 Current State: 62:[39, 101], Operations: ['91-52=39', '88+13=101'] Exploring Operation: 101-39=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 39, 82, 98, 43 ]
97
[ "82-39=43", "43/43=1", "98-1=97" ]
Current State: 97:[39, 82, 98, 43], Operations: [] Exploring Operation: 82-39=43, Resulting Numbers: [98, 43, 43] Generated Node #2: [98, 43, 43] from Operation: 82-39=43 Current State: 97:[98, 43, 43], Operations: ['82-39=43'] Exploring Operation: 43/43=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 43/43=1 Current State: 97:[98, 1], Operations: ['82-39=43', '43/43=1'] Exploring Operation: 98-1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 22, 28, 82, 46 ]
30
[ "28-22=6", "82-46=36", "36-6=30" ]
Current State: 30:[22, 28, 82, 46], Operations: [] Exploring Operation: 28-22=6, Resulting Numbers: [82, 46, 6] Generated Node #2: [82, 46, 6] from Operation: 28-22=6 Current State: 30:[82, 46, 6], Operations: ['28-22=6'] Exploring Operation: 82-46=36, Resulting Numbers: [6, 36] Generated Node #3: [6, 36] from Operation: 82-46=36 Current State: 30:[6, 36], Operations: ['28-22=6', '82-46=36'] Exploring Operation: 36-6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 76, 18, 73, 32 ]
78
[ "76-73=3", "32*3=96", "96-18=78" ]
Current State: 78:[76, 18, 73, 32], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [18, 32, 3] Generated Node #2: [18, 32, 3] from Operation: 76-73=3 Current State: 78:[18, 32, 3], Operations: ['76-73=3'] Exploring Operation: 32*3=96, Resulting Numbers: [18, 96] Generated Node #3: [18, 96] from Operation: 32*3=96 Current State: 78:[18, 96], Operations: ['76-73=3', '32*3=96'] Exploring Operation: 96-18=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 84, 67, 83, 52 ]
15
[ "84-83=1", "67-52=15", "1*15=15" ]
Current State: 15:[84, 67, 83, 52], Operations: [] Exploring Operation: 84-83=1, Resulting Numbers: [67, 52, 1] Generated Node #2: [67, 52, 1] from Operation: 84-83=1 Current State: 15:[67, 52, 1], Operations: ['84-83=1'] Exploring Operation: 67-52=15, Resulting Numbers: [1, 15] Generated Node #3: [1, 15] from Operation: 67-52=15 Current State: 15:[1, 15], Operations: ['84-83=1', '67-52=15'] Exploring Operation: 1*15=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 4, 1, 51, 96 ]
75
[ "4*1=4", "96/4=24", "51+24=75" ]
Current State: 75:[4, 1, 51, 96], Operations: [] Exploring Operation: 4*1=4, Resulting Numbers: [51, 96, 4] Generated Node #2: [51, 96, 4] from Operation: 4*1=4 Current State: 75:[51, 96, 4], Operations: ['4*1=4'] Exploring Operation: 96/4=24, Resulting Numbers: [51, 24] Generated Node #3: [51, 24] from Operation: 96/4=24 Current State: 75:[51, 24], Operations: ['4*1=4', '96/4=24'] Exploring Operation: 51+24=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 51, 50, 90, 41 ]
41
[ "51-41=10", "90/10=9", "50-9=41" ]
Current State: 41:[51, 50, 90, 41], Operations: [] Exploring Operation: 51-41=10, Resulting Numbers: [50, 90, 10] Generated Node #2: [50, 90, 10] from Operation: 51-41=10 Current State: 41:[50, 90, 10], Operations: ['51-41=10'] Exploring Operation: 90/10=9, Resulting Numbers: [50, 9] Generated Node #3: [50, 9] from Operation: 90/10=9 Current State: 41:[50, 9], Operations: ['51-41=10', '90/10=9'] Exploring Operation: 50-9=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 7, 43, 23, 86 ]
53
[ "86/43=2", "23*2=46", "7+46=53" ]
Current State: 53:[7, 43, 23, 86], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [7, 23, 2] Generated Node #2: [7, 23, 2] from Operation: 86/43=2 Current State: 53:[7, 23, 2], Operations: ['86/43=2'] Exploring Operation: 23*2=46, Resulting Numbers: [7, 46] Generated Node #3: [7, 46] from Operation: 23*2=46 Current State: 53:[7, 46], Operations: ['86/43=2', '23*2=46'] Exploring Operation: 7+46=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 32, 14, 20, 15 ]
38
[ "32*15=480", "480/20=24", "14+24=38" ]
Current State: 38:[32, 14, 20, 15], Operations: [] Exploring Operation: 32*15=480, Resulting Numbers: [14, 20, 480] Generated Node #2: [14, 20, 480] from Operation: 32*15=480 Current State: 38:[14, 20, 480], Operations: ['32*15=480'] Exploring Operation: 480/20=24, Resulting Numbers: [14, 24] Generated Node #3: [14, 24] from Operation: 480/20=24 Current State: 38:[14, 24], Operations: ['32*15=480', '480/20=24'] Exploring Operation: 14+24=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 88, 50, 5, 11 ]
22
[ "88-50=38", "5+11=16", "38-16=22" ]
Current State: 22:[88, 50, 5, 11], Operations: [] Exploring Operation: 88-50=38, Resulting Numbers: [5, 11, 38] Generated Node #2: [5, 11, 38] from Operation: 88-50=38 Current State: 22:[5, 11, 38], Operations: ['88-50=38'] Exploring Operation: 5+11=16, Resulting Numbers: [38, 16] Generated Node #3: [38, 16] from Operation: 5+11=16 Current State: 22:[38, 16], Operations: ['88-50=38', '5+11=16'] Exploring Operation: 38-16=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 11, 67, 49, 40 ]
33
[ "67-11=56", "49+40=89", "89-56=33" ]
Current State: 33:[11, 67, 49, 40], Operations: [] Exploring Operation: 67-11=56, Resulting Numbers: [49, 40, 56] Generated Node #2: [49, 40, 56] from Operation: 67-11=56 Current State: 33:[49, 40, 56], Operations: ['67-11=56'] Exploring Operation: 49+40=89, Resulting Numbers: [56, 89] Generated Node #3: [56, 89] from Operation: 49+40=89 Current State: 33:[56, 89], Operations: ['67-11=56', '49+40=89'] Exploring Operation: 89-56=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 85, 14, 69 ]
10
[ "85-14=71", "71-69=2", "5*2=10" ]
Current State: 10:[5, 85, 14, 69], Operations: [] Exploring Operation: 85-14=71, Resulting Numbers: [5, 69, 71] Generated Node #2: [5, 69, 71] from Operation: 85-14=71 Current State: 10:[5, 69, 71], Operations: ['85-14=71'] Exploring Operation: 71-69=2, Resulting Numbers: [5, 2] Generated Node #3: [5, 2] from Operation: 71-69=2 Current State: 10:[5, 2], Operations: ['85-14=71', '71-69=2'] Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 54, 87, 46, 27 ]
43
[ "54/27=2", "87-46=41", "2+41=43" ]
Current State: 43:[54, 87, 46, 27], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [87, 46, 2] Generated Node #2: [87, 46, 2] from Operation: 54/27=2 Current State: 43:[87, 46, 2], Operations: ['54/27=2'] Exploring Operation: 87-46=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 87-46=41 Current State: 43:[2, 41], Operations: ['54/27=2', '87-46=41'] Exploring Operation: 2+41=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 68, 49, 90, 55 ]
83
[ "55-49=6", "90/6=15", "68+15=83" ]
Current State: 83:[68, 49, 90, 55], Operations: [] Exploring Operation: 55-49=6, Resulting Numbers: [68, 90, 6] Generated Node #2: [68, 90, 6] from Operation: 55-49=6 Current State: 83:[68, 90, 6], Operations: ['55-49=6'] Exploring Operation: 90/6=15, Resulting Numbers: [68, 15] Generated Node #3: [68, 15] from Operation: 90/6=15 Current State: 83:[68, 15], Operations: ['55-49=6', '90/6=15'] Exploring Operation: 68+15=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 68, 31, 65, 13 ]
89
[ "68-31=37", "65-13=52", "37+52=89" ]
Current State: 89:[68, 31, 65, 13], Operations: [] Exploring Operation: 68-31=37, Resulting Numbers: [65, 13, 37] Generated Node #2: [65, 13, 37] from Operation: 68-31=37 Current State: 89:[65, 13, 37], Operations: ['68-31=37'] Exploring Operation: 65-13=52, Resulting Numbers: [37, 52] Generated Node #3: [37, 52] from Operation: 65-13=52 Current State: 89:[37, 52], Operations: ['68-31=37', '65-13=52'] Exploring Operation: 37+52=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 51, 4, 99, 32 ]
76
[ "51+4=55", "99+32=131", "131-55=76" ]
Current State: 76:[51, 4, 99, 32], Operations: [] Exploring Operation: 51+4=55, Resulting Numbers: [99, 32, 55] Generated Node #2: [99, 32, 55] from Operation: 51+4=55 Current State: 76:[99, 32, 55], Operations: ['51+4=55'] Exploring Operation: 99+32=131, Resulting Numbers: [55, 131] Generated Node #3: [55, 131] from Operation: 99+32=131 Current State: 76:[55, 131], Operations: ['51+4=55', '99+32=131'] Exploring Operation: 131-55=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 49, 9, 92, 80 ]
52
[ "49-9=40", "92-80=12", "40+12=52" ]
Current State: 52:[49, 9, 92, 80], Operations: [] Exploring Operation: 49-9=40, Resulting Numbers: [92, 80, 40] Generated Node #2: [92, 80, 40] from Operation: 49-9=40 Current State: 52:[92, 80, 40], Operations: ['49-9=40'] Exploring Operation: 92-80=12, Resulting Numbers: [40, 12] Generated Node #3: [40, 12] from Operation: 92-80=12 Current State: 52:[40, 12], Operations: ['49-9=40', '92-80=12'] Exploring Operation: 40+12=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 58, 34, 14, 3 ]
26
[ "58+34=92", "92-14=78", "78/3=26" ]
Current State: 26:[58, 34, 14, 3], Operations: [] Exploring Operation: 58+34=92, Resulting Numbers: [14, 3, 92] Generated Node #2: [14, 3, 92] from Operation: 58+34=92 Current State: 26:[14, 3, 92], Operations: ['58+34=92'] Exploring Operation: 92-14=78, Resulting Numbers: [3, 78] Generated Node #3: [3, 78] from Operation: 92-14=78 Current State: 26:[3, 78], Operations: ['58+34=92', '92-14=78'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 6, 5, 60, 86 ]
14
[ "6*60=360", "360/5=72", "86-72=14" ]
Current State: 14:[6, 5, 60, 86], Operations: [] Exploring Operation: 6*60=360, Resulting Numbers: [5, 86, 360] Generated Node #2: [5, 86, 360] from Operation: 6*60=360 Current State: 14:[5, 86, 360], Operations: ['6*60=360'] Exploring Operation: 360/5=72, Resulting Numbers: [86, 72] Generated Node #3: [86, 72] from Operation: 360/5=72 Current State: 14:[86, 72], Operations: ['6*60=360', '360/5=72'] Exploring Operation: 86-72=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 19, 6, 42, 16 ]
10
[ "19-16=3", "42/6=7", "3+7=10" ]
Current State: 10:[19, 6, 42, 16], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [6, 42, 3] Generated Node #2: [6, 42, 3] from Operation: 19-16=3 Current State: 10:[6, 42, 3], Operations: ['19-16=3'] Exploring Operation: 42/6=7, Resulting Numbers: [3, 7] Generated Node #3: [3, 7] from Operation: 42/6=7 Current State: 10:[3, 7], Operations: ['19-16=3', '42/6=7'] Exploring Operation: 3+7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 23, 82, 25, 45 ]
11
[ "82-23=59", "25+45=70", "70-59=11" ]
Current State: 11:[23, 82, 25, 45], Operations: [] Exploring Operation: 82-23=59, Resulting Numbers: [25, 45, 59] Generated Node #2: [25, 45, 59] from Operation: 82-23=59 Current State: 11:[25, 45, 59], Operations: ['82-23=59'] Exploring Operation: 25+45=70, Resulting Numbers: [59, 70] Generated Node #3: [59, 70] from Operation: 25+45=70 Current State: 11:[59, 70], Operations: ['82-23=59', '25+45=70'] Exploring Operation: 70-59=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 44, 30, 26, 92 ]
81
[ "30-26=4", "44/4=11", "92-11=81" ]
Current State: 81:[44, 30, 26, 92], Operations: [] Exploring Operation: 30-26=4, Resulting Numbers: [44, 92, 4] Generated Node #2: [44, 92, 4] from Operation: 30-26=4 Current State: 81:[44, 92, 4], Operations: ['30-26=4'] Exploring Operation: 44/4=11, Resulting Numbers: [92, 11] Generated Node #3: [92, 11] from Operation: 44/4=11 Current State: 81:[92, 11], Operations: ['30-26=4', '44/4=11'] Exploring Operation: 92-11=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 25, 77, 19, 45 ]
77
[ "25+19=44", "45-44=1", "77*1=77" ]
Current State: 77:[25, 77, 19, 45], Operations: [] Exploring Operation: 25+19=44, Resulting Numbers: [77, 45, 44] Generated Node #2: [77, 45, 44] from Operation: 25+19=44 Current State: 77:[77, 45, 44], Operations: ['25+19=44'] Exploring Operation: 45-44=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 45-44=1 Current State: 77:[77, 1], Operations: ['25+19=44', '45-44=1'] Exploring Operation: 77*1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 10, 15, 96, 95 ]
89
[ "10+95=105", "105/15=7", "96-7=89" ]
Current State: 89:[10, 15, 96, 95], Operations: [] Exploring Operation: 10+95=105, Resulting Numbers: [15, 96, 105] Generated Node #2: [15, 96, 105] from Operation: 10+95=105 Current State: 89:[15, 96, 105], Operations: ['10+95=105'] Exploring Operation: 105/15=7, Resulting Numbers: [96, 7] Generated Node #3: [96, 7] from Operation: 105/15=7 Current State: 89:[96, 7], Operations: ['10+95=105', '105/15=7'] Exploring Operation: 96-7=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 30, 82, 64, 3 ]
84
[ "82-64=18", "3*18=54", "30+54=84" ]
Current State: 84:[30, 82, 64, 3], Operations: [] Exploring Operation: 82-64=18, Resulting Numbers: [30, 3, 18] Generated Node #2: [30, 3, 18] from Operation: 82-64=18 Current State: 84:[30, 3, 18], Operations: ['82-64=18'] Exploring Operation: 3*18=54, Resulting Numbers: [30, 54] Generated Node #3: [30, 54] from Operation: 3*18=54 Current State: 84:[30, 54], Operations: ['82-64=18', '3*18=54'] Exploring Operation: 30+54=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 73, 94, 7, 23 ]
20
[ "94-73=21", "21/7=3", "23-3=20" ]
Current State: 20:[73, 94, 7, 23], Operations: [] Exploring Operation: 94-73=21, Resulting Numbers: [7, 23, 21] Generated Node #2: [7, 23, 21] from Operation: 94-73=21 Current State: 20:[7, 23, 21], Operations: ['94-73=21'] Exploring Operation: 21/7=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 21/7=3 Current State: 20:[23, 3], Operations: ['94-73=21', '21/7=3'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 61, 18, 70, 31 ]
40
[ "61+18=79", "70-31=39", "79-39=40" ]
Current State: 40:[61, 18, 70, 31], Operations: [] Exploring Operation: 61+18=79, Resulting Numbers: [70, 31, 79] Generated Node #2: [70, 31, 79] from Operation: 61+18=79 Current State: 40:[70, 31, 79], Operations: ['61+18=79'] Exploring Operation: 70-31=39, Resulting Numbers: [79, 39] Generated Node #3: [79, 39] from Operation: 70-31=39 Current State: 40:[79, 39], Operations: ['61+18=79', '70-31=39'] Exploring Operation: 79-39=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 34, 49, 43, 1 ]
58
[ "49-34=15", "43*1=43", "15+43=58" ]
Current State: 58:[34, 49, 43, 1], Operations: [] Exploring Operation: 49-34=15, Resulting Numbers: [43, 1, 15] Generated Node #2: [43, 1, 15] from Operation: 49-34=15 Current State: 58:[43, 1, 15], Operations: ['49-34=15'] Exploring Operation: 43*1=43, Resulting Numbers: [15, 43] Generated Node #3: [15, 43] from Operation: 43*1=43 Current State: 58:[15, 43], Operations: ['49-34=15', '43*1=43'] Exploring Operation: 15+43=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 64, 57, 83, 91 ]
96
[ "64-57=7", "91/7=13", "83+13=96" ]
Current State: 96:[64, 57, 83, 91], Operations: [] Exploring Operation: 64-57=7, Resulting Numbers: [83, 91, 7] Generated Node #2: [83, 91, 7] from Operation: 64-57=7 Current State: 96:[83, 91, 7], Operations: ['64-57=7'] Exploring Operation: 91/7=13, Resulting Numbers: [83, 13] Generated Node #3: [83, 13] from Operation: 91/7=13 Current State: 96:[83, 13], Operations: ['64-57=7', '91/7=13'] Exploring Operation: 83+13=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 39, 62, 68, 93 ]
76
[ "39+62=101", "93-68=25", "101-25=76" ]
Current State: 76:[39, 62, 68, 93], Operations: [] Exploring Operation: 39+62=101, Resulting Numbers: [68, 93, 101] Generated Node #2: [68, 93, 101] from Operation: 39+62=101 Current State: 76:[68, 93, 101], Operations: ['39+62=101'] Exploring Operation: 93-68=25, Resulting Numbers: [101, 25] Generated Node #3: [101, 25] from Operation: 93-68=25 Current State: 76:[101, 25], Operations: ['39+62=101', '93-68=25'] Exploring Operation: 101-25=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 76, 56, 54, 72 ]
40
[ "76-72=4", "56/4=14", "54-14=40" ]
Current State: 40:[76, 56, 54, 72], Operations: [] Exploring Operation: 76-72=4, Resulting Numbers: [56, 54, 4] Generated Node #2: [56, 54, 4] from Operation: 76-72=4 Current State: 40:[56, 54, 4], Operations: ['76-72=4'] Exploring Operation: 56/4=14, Resulting Numbers: [54, 14] Generated Node #3: [54, 14] from Operation: 56/4=14 Current State: 40:[54, 14], Operations: ['76-72=4', '56/4=14'] Exploring Operation: 54-14=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 73, 19, 36, 31 ]
25
[ "73+19=92", "36+31=67", "92-67=25" ]
Current State: 25:[73, 19, 36, 31], Operations: [] Exploring Operation: 73+19=92, Resulting Numbers: [36, 31, 92] Generated Node #2: [36, 31, 92] from Operation: 73+19=92 Current State: 25:[36, 31, 92], Operations: ['73+19=92'] Exploring Operation: 36+31=67, Resulting Numbers: [92, 67] Generated Node #3: [92, 67] from Operation: 36+31=67 Current State: 25:[92, 67], Operations: ['73+19=92', '36+31=67'] Exploring Operation: 92-67=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 77, 71, 83, 9 ]
18
[ "71+83=154", "154/77=2", "9*2=18" ]
Current State: 18:[77, 71, 83, 9], Operations: [] Exploring Operation: 71+83=154, Resulting Numbers: [77, 9, 154] Generated Node #2: [77, 9, 154] from Operation: 71+83=154 Current State: 18:[77, 9, 154], Operations: ['71+83=154'] Exploring Operation: 154/77=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 154/77=2 Current State: 18:[9, 2], Operations: ['71+83=154', '154/77=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 31, 10, 84, 52 ]
62
[ "31*84=2604", "52-10=42", "2604/42=62" ]
Current State: 62:[31, 10, 84, 52], Operations: [] Exploring Operation: 31*84=2604, Resulting Numbers: [10, 52, 2604] Generated Node #2: [10, 52, 2604] from Operation: 31*84=2604 Current State: 62:[10, 52, 2604], Operations: ['31*84=2604'] Exploring Operation: 52-10=42, Resulting Numbers: [2604, 42] Generated Node #3: [2604, 42] from Operation: 52-10=42 Current State: 62:[2604, 42], Operations: ['31*84=2604', '52-10=42'] Exploring Operation: 2604/42=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 53, 14, 64, 43 ]
16
[ "53-14=39", "43-39=4", "64/4=16" ]
Current State: 16:[53, 14, 64, 43], Operations: [] Exploring Operation: 53-14=39, Resulting Numbers: [64, 43, 39] Generated Node #2: [64, 43, 39] from Operation: 53-14=39 Current State: 16:[64, 43, 39], Operations: ['53-14=39'] Exploring Operation: 43-39=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 43-39=4 Current State: 16:[64, 4], Operations: ['53-14=39', '43-39=4'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 28, 24, 6, 8 ]
52
[ "28-24=4", "6*8=48", "4+48=52" ]
Current State: 52:[28, 24, 6, 8], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [6, 8, 4] Generated Node #2: [6, 8, 4] from Operation: 28-24=4 Current State: 52:[6, 8, 4], Operations: ['28-24=4'] Exploring Operation: 6*8=48, Resulting Numbers: [4, 48] Generated Node #3: [4, 48] from Operation: 6*8=48 Current State: 52:[4, 48], Operations: ['28-24=4', '6*8=48'] Exploring Operation: 4+48=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 38, 21, 13, 19 ]
27
[ "38+21=59", "13+19=32", "59-32=27" ]
Current State: 27:[38, 21, 13, 19], Operations: [] Exploring Operation: 38+21=59, Resulting Numbers: [13, 19, 59] Generated Node #2: [13, 19, 59] from Operation: 38+21=59 Current State: 27:[13, 19, 59], Operations: ['38+21=59'] Exploring Operation: 13+19=32, Resulting Numbers: [59, 32] Generated Node #3: [59, 32] from Operation: 13+19=32 Current State: 27:[59, 32], Operations: ['38+21=59', '13+19=32'] Exploring Operation: 59-32=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 12, 27, 63, 55 ]
83
[ "12*63=756", "756/27=28", "55+28=83" ]
Current State: 83:[12, 27, 63, 55], Operations: [] Exploring Operation: 12*63=756, Resulting Numbers: [27, 55, 756] Generated Node #2: [27, 55, 756] from Operation: 12*63=756 Current State: 83:[27, 55, 756], Operations: ['12*63=756'] Exploring Operation: 756/27=28, Resulting Numbers: [55, 28] Generated Node #3: [55, 28] from Operation: 756/27=28 Current State: 83:[55, 28], Operations: ['12*63=756', '756/27=28'] Exploring Operation: 55+28=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 88, 82, 5, 7 ]
77
[ "88-82=6", "5+6=11", "7*11=77" ]
Current State: 77:[88, 82, 5, 7], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [5, 7, 6] Generated Node #2: [5, 7, 6] from Operation: 88-82=6 Current State: 77:[5, 7, 6], Operations: ['88-82=6'] Exploring Operation: 5+6=11, Resulting Numbers: [7, 11] Generated Node #3: [7, 11] from Operation: 5+6=11 Current State: 77:[7, 11], Operations: ['88-82=6', '5+6=11'] Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 20, 82, 40, 49 ]
98
[ "49-40=9", "20*9=180", "180-82=98" ]
Current State: 98:[20, 82, 40, 49], Operations: [] Exploring Operation: 49-40=9, Resulting Numbers: [20, 82, 9] Generated Node #2: [20, 82, 9] from Operation: 49-40=9 Current State: 98:[20, 82, 9], Operations: ['49-40=9'] Exploring Operation: 20*9=180, Resulting Numbers: [82, 180] Generated Node #3: [82, 180] from Operation: 20*9=180 Current State: 98:[82, 180], Operations: ['49-40=9', '20*9=180'] Exploring Operation: 180-82=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 7, 20, 85, 44 ]
83
[ "44-20=24", "7*24=168", "168-85=83" ]
Current State: 83:[7, 20, 85, 44], Operations: [] Exploring Operation: 44-20=24, Resulting Numbers: [7, 85, 24] Generated Node #2: [7, 85, 24] from Operation: 44-20=24 Current State: 83:[7, 85, 24], Operations: ['44-20=24'] Exploring Operation: 7*24=168, Resulting Numbers: [85, 168] Generated Node #3: [85, 168] from Operation: 7*24=168 Current State: 83:[85, 168], Operations: ['44-20=24', '7*24=168'] Exploring Operation: 168-85=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 65, 51, 39, 57 ]
20
[ "65+51=116", "39+57=96", "116-96=20" ]
Current State: 20:[65, 51, 39, 57], Operations: [] Exploring Operation: 65+51=116, Resulting Numbers: [39, 57, 116] Generated Node #2: [39, 57, 116] from Operation: 65+51=116 Current State: 20:[39, 57, 116], Operations: ['65+51=116'] Exploring Operation: 39+57=96, Resulting Numbers: [116, 96] Generated Node #3: [116, 96] from Operation: 39+57=96 Current State: 20:[116, 96], Operations: ['65+51=116', '39+57=96'] Exploring Operation: 116-96=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 5, 30, 38, 91 ]
47
[ "30/5=6", "91-38=53", "53-6=47" ]
Current State: 47:[5, 30, 38, 91], Operations: [] Exploring Operation: 30/5=6, Resulting Numbers: [38, 91, 6] Generated Node #2: [38, 91, 6] from Operation: 30/5=6 Current State: 47:[38, 91, 6], Operations: ['30/5=6'] Exploring Operation: 91-38=53, Resulting Numbers: [6, 53] Generated Node #3: [6, 53] from Operation: 91-38=53 Current State: 47:[6, 53], Operations: ['30/5=6', '91-38=53'] Exploring Operation: 53-6=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 97, 73, 21, 84 ]
20
[ "97-73=24", "84/21=4", "24-4=20" ]
Current State: 20:[97, 73, 21, 84], Operations: [] Exploring Operation: 97-73=24, Resulting Numbers: [21, 84, 24] Generated Node #2: [21, 84, 24] from Operation: 97-73=24 Current State: 20:[21, 84, 24], Operations: ['97-73=24'] Exploring Operation: 84/21=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 84/21=4 Current State: 20:[24, 4], Operations: ['97-73=24', '84/21=4'] Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 4, 54, 36, 50 ]
95
[ "36/4=9", "54+50=104", "104-9=95" ]
Current State: 95:[4, 54, 36, 50], Operations: [] Exploring Operation: 36/4=9, Resulting Numbers: [54, 50, 9] Generated Node #2: [54, 50, 9] from Operation: 36/4=9 Current State: 95:[54, 50, 9], Operations: ['36/4=9'] Exploring Operation: 54+50=104, Resulting Numbers: [9, 104] Generated Node #3: [9, 104] from Operation: 54+50=104 Current State: 95:[9, 104], Operations: ['36/4=9', '54+50=104'] Exploring Operation: 104-9=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 32, 54, 10, 81 ]
47
[ "10*81=810", "810/54=15", "32+15=47" ]
Current State: 47:[32, 54, 10, 81], Operations: [] Exploring Operation: 10*81=810, Resulting Numbers: [32, 54, 810] Generated Node #2: [32, 54, 810] from Operation: 10*81=810 Current State: 47:[32, 54, 810], Operations: ['10*81=810'] Exploring Operation: 810/54=15, Resulting Numbers: [32, 15] Generated Node #3: [32, 15] from Operation: 810/54=15 Current State: 47:[32, 15], Operations: ['10*81=810', '810/54=15'] Exploring Operation: 32+15=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 12, 44, 95, 5 ]
65
[ "44-12=32", "5*32=160", "160-95=65" ]
Current State: 65:[12, 44, 95, 5], Operations: [] Exploring Operation: 44-12=32, Resulting Numbers: [95, 5, 32] Generated Node #2: [95, 5, 32] from Operation: 44-12=32 Current State: 65:[95, 5, 32], Operations: ['44-12=32'] Exploring Operation: 5*32=160, Resulting Numbers: [95, 160] Generated Node #3: [95, 160] from Operation: 5*32=160 Current State: 65:[95, 160], Operations: ['44-12=32', '5*32=160'] Exploring Operation: 160-95=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 27, 57, 2, 71 ]
82
[ "57-27=30", "71-30=41", "2*41=82" ]
Current State: 82:[27, 57, 2, 71], Operations: [] Exploring Operation: 57-27=30, Resulting Numbers: [2, 71, 30] Generated Node #2: [2, 71, 30] from Operation: 57-27=30 Current State: 82:[2, 71, 30], Operations: ['57-27=30'] Exploring Operation: 71-30=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 71-30=41 Current State: 82:[2, 41], Operations: ['57-27=30', '71-30=41'] Exploring Operation: 2*41=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 42, 72, 87, 1 ]
27
[ "42+72=114", "87*1=87", "114-87=27" ]
Current State: 27:[42, 72, 87, 1], Operations: [] Exploring Operation: 42+72=114, Resulting Numbers: [87, 1, 114] Generated Node #2: [87, 1, 114] from Operation: 42+72=114 Current State: 27:[87, 1, 114], Operations: ['42+72=114'] Exploring Operation: 87*1=87, Resulting Numbers: [114, 87] Generated Node #3: [114, 87] from Operation: 87*1=87 Current State: 27:[114, 87], Operations: ['42+72=114', '87*1=87'] Exploring Operation: 114-87=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 54, 79, 10 ]
47
[ "54+10=64", "64/2=32", "79-32=47" ]
Current State: 47:[2, 54, 79, 10], Operations: [] Exploring Operation: 54+10=64, Resulting Numbers: [2, 79, 64] Generated Node #2: [2, 79, 64] from Operation: 54+10=64 Current State: 47:[2, 79, 64], Operations: ['54+10=64'] Exploring Operation: 64/2=32, Resulting Numbers: [79, 32] Generated Node #3: [79, 32] from Operation: 64/2=32 Current State: 47:[79, 32], Operations: ['54+10=64', '64/2=32'] Exploring Operation: 79-32=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 21, 51, 77, 7 ]
47
[ "77+7=84", "84/21=4", "51-4=47" ]
Current State: 47:[21, 51, 77, 7], Operations: [] Exploring Operation: 77+7=84, Resulting Numbers: [21, 51, 84] Generated Node #2: [21, 51, 84] from Operation: 77+7=84 Current State: 47:[21, 51, 84], Operations: ['77+7=84'] Exploring Operation: 84/21=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 84/21=4 Current State: 47:[51, 4], Operations: ['77+7=84', '84/21=4'] Exploring Operation: 51-4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 66, 67, 24, 21 ]
44
[ "67-66=1", "24+21=45", "45-1=44" ]
Current State: 44:[66, 67, 24, 21], Operations: [] Exploring Operation: 67-66=1, Resulting Numbers: [24, 21, 1] Generated Node #2: [24, 21, 1] from Operation: 67-66=1 Current State: 44:[24, 21, 1], Operations: ['67-66=1'] Exploring Operation: 24+21=45, Resulting Numbers: [1, 45] Generated Node #3: [1, 45] from Operation: 24+21=45 Current State: 44:[1, 45], Operations: ['67-66=1', '24+21=45'] Exploring Operation: 45-1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 3, 90, 18, 6 ]
90
[ "3+90=93", "18/6=3", "93-3=90" ]
Current State: 90:[3, 90, 18, 6], Operations: [] Exploring Operation: 3+90=93, Resulting Numbers: [18, 6, 93] Generated Node #2: [18, 6, 93] from Operation: 3+90=93 Current State: 90:[18, 6, 93], Operations: ['3+90=93'] Exploring Operation: 18/6=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 18/6=3 Current State: 90:[93, 3], Operations: ['3+90=93', '18/6=3'] Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 9, 51, 40, 98 ]
49
[ "51-9=42", "42-40=2", "98/2=49" ]
Current State: 49:[9, 51, 40, 98], Operations: [] Exploring Operation: 51-9=42, Resulting Numbers: [40, 98, 42] Generated Node #2: [40, 98, 42] from Operation: 51-9=42 Current State: 49:[40, 98, 42], Operations: ['51-9=42'] Exploring Operation: 42-40=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 42-40=2 Current State: 49:[98, 2], Operations: ['51-9=42', '42-40=2'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 20, 97, 92, 75 ]
46
[ "97-20=77", "77-75=2", "92/2=46" ]
Current State: 46:[20, 97, 92, 75], Operations: [] Exploring Operation: 97-20=77, Resulting Numbers: [92, 75, 77] Generated Node #2: [92, 75, 77] from Operation: 97-20=77 Current State: 46:[92, 75, 77], Operations: ['97-20=77'] Exploring Operation: 77-75=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 77-75=2 Current State: 46:[92, 2], Operations: ['97-20=77', '77-75=2'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 41, 60, 82, 97 ]
45
[ "97-82=15", "60/15=4", "41+4=45" ]
Current State: 45:[41, 60, 82, 97], Operations: [] Exploring Operation: 97-82=15, Resulting Numbers: [41, 60, 15] Generated Node #2: [41, 60, 15] from Operation: 97-82=15 Current State: 45:[41, 60, 15], Operations: ['97-82=15'] Exploring Operation: 60/15=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 60/15=4 Current State: 45:[41, 4], Operations: ['97-82=15', '60/15=4'] Exploring Operation: 41+4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 5, 40, 87, 95 ]
27
[ "40-5=35", "95-87=8", "35-8=27" ]
Current State: 27:[5, 40, 87, 95], Operations: [] Exploring Operation: 40-5=35, Resulting Numbers: [87, 95, 35] Generated Node #2: [87, 95, 35] from Operation: 40-5=35 Current State: 27:[87, 95, 35], Operations: ['40-5=35'] Exploring Operation: 95-87=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 95-87=8 Current State: 27:[35, 8], Operations: ['40-5=35', '95-87=8'] Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 87, 17, 58, 69 ]
93
[ "87+17=104", "69-58=11", "104-11=93" ]
Current State: 93:[87, 17, 58, 69], Operations: [] Exploring Operation: 87+17=104, Resulting Numbers: [58, 69, 104] Generated Node #2: [58, 69, 104] from Operation: 87+17=104 Current State: 93:[58, 69, 104], Operations: ['87+17=104'] Exploring Operation: 69-58=11, Resulting Numbers: [104, 11] Generated Node #3: [104, 11] from Operation: 69-58=11 Current State: 93:[104, 11], Operations: ['87+17=104', '69-58=11'] Exploring Operation: 104-11=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 51, 38, 48, 33 ]
81
[ "51-48=3", "38*3=114", "114-33=81" ]
Current State: 81:[51, 38, 48, 33], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [38, 33, 3] Generated Node #2: [38, 33, 3] from Operation: 51-48=3 Current State: 81:[38, 33, 3], Operations: ['51-48=3'] Exploring Operation: 38*3=114, Resulting Numbers: [33, 114] Generated Node #3: [33, 114] from Operation: 38*3=114 Current State: 81:[33, 114], Operations: ['51-48=3', '38*3=114'] Exploring Operation: 114-33=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 27, 16, 94, 97 ]
25
[ "97-94=3", "27/3=9", "16+9=25" ]
Current State: 25:[27, 16, 94, 97], Operations: [] Exploring Operation: 97-94=3, Resulting Numbers: [27, 16, 3] Generated Node #2: [27, 16, 3] from Operation: 97-94=3 Current State: 25:[27, 16, 3], Operations: ['97-94=3'] Exploring Operation: 27/3=9, Resulting Numbers: [16, 9] Generated Node #3: [16, 9] from Operation: 27/3=9 Current State: 25:[16, 9], Operations: ['97-94=3', '27/3=9'] Exploring Operation: 16+9=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 96, 35, 30, 49 ]
29
[ "96+49=145", "35-30=5", "145/5=29" ]
Current State: 29:[96, 35, 30, 49], Operations: [] Exploring Operation: 96+49=145, Resulting Numbers: [35, 30, 145] Generated Node #2: [35, 30, 145] from Operation: 96+49=145 Current State: 29:[35, 30, 145], Operations: ['96+49=145'] Exploring Operation: 35-30=5, Resulting Numbers: [145, 5] Generated Node #3: [145, 5] from Operation: 35-30=5 Current State: 29:[145, 5], Operations: ['96+49=145', '35-30=5'] Exploring Operation: 145/5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 31, 40, 96, 84 ]
59
[ "31+40=71", "96-84=12", "71-12=59" ]
Current State: 59:[31, 40, 96, 84], Operations: [] Exploring Operation: 31+40=71, Resulting Numbers: [96, 84, 71] Generated Node #2: [96, 84, 71] from Operation: 31+40=71 Current State: 59:[96, 84, 71], Operations: ['31+40=71'] Exploring Operation: 96-84=12, Resulting Numbers: [71, 12] Generated Node #3: [71, 12] from Operation: 96-84=12 Current State: 59:[71, 12], Operations: ['31+40=71', '96-84=12'] Exploring Operation: 71-12=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 86, 48, 78, 96 ]
56
[ "86-48=38", "96-78=18", "38+18=56" ]
Current State: 56:[86, 48, 78, 96], Operations: [] Exploring Operation: 86-48=38, Resulting Numbers: [78, 96, 38] Generated Node #2: [78, 96, 38] from Operation: 86-48=38 Current State: 56:[78, 96, 38], Operations: ['86-48=38'] Exploring Operation: 96-78=18, Resulting Numbers: [38, 18] Generated Node #3: [38, 18] from Operation: 96-78=18 Current State: 56:[38, 18], Operations: ['86-48=38', '96-78=18'] Exploring Operation: 38+18=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 47, 55, 65 ]
14
[ "47+55=102", "102/2=51", "65-51=14" ]
Current State: 14:[2, 47, 55, 65], Operations: [] Exploring Operation: 47+55=102, Resulting Numbers: [2, 65, 102] Generated Node #2: [2, 65, 102] from Operation: 47+55=102 Current State: 14:[2, 65, 102], Operations: ['47+55=102'] Exploring Operation: 102/2=51, Resulting Numbers: [65, 51] Generated Node #3: [65, 51] from Operation: 102/2=51 Current State: 14:[65, 51], Operations: ['47+55=102', '102/2=51'] Exploring Operation: 65-51=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 9, 87, 33, 53 ]
76
[ "9+87=96", "53-33=20", "96-20=76" ]
Current State: 76:[9, 87, 33, 53], Operations: [] Exploring Operation: 9+87=96, Resulting Numbers: [33, 53, 96] Generated Node #2: [33, 53, 96] from Operation: 9+87=96 Current State: 76:[33, 53, 96], Operations: ['9+87=96'] Exploring Operation: 53-33=20, Resulting Numbers: [96, 20] Generated Node #3: [96, 20] from Operation: 53-33=20 Current State: 76:[96, 20], Operations: ['9+87=96', '53-33=20'] Exploring Operation: 96-20=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 73, 98, 30, 14 ]
50
[ "73-30=43", "98/14=7", "43+7=50" ]
Current State: 50:[73, 98, 30, 14], Operations: [] Exploring Operation: 73-30=43, Resulting Numbers: [98, 14, 43] Generated Node #2: [98, 14, 43] from Operation: 73-30=43 Current State: 50:[98, 14, 43], Operations: ['73-30=43'] Exploring Operation: 98/14=7, Resulting Numbers: [43, 7] Generated Node #3: [43, 7] from Operation: 98/14=7 Current State: 50:[43, 7], Operations: ['73-30=43', '98/14=7'] Exploring Operation: 43+7=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 8, 41, 3, 83 ]
79
[ "8*41=328", "3*83=249", "328-249=79" ]
Current State: 79:[8, 41, 3, 83], Operations: [] Exploring Operation: 8*41=328, Resulting Numbers: [3, 83, 328] Generated Node #2: [3, 83, 328] from Operation: 8*41=328 Current State: 79:[3, 83, 328], Operations: ['8*41=328'] Exploring Operation: 3*83=249, Resulting Numbers: [328, 249] Generated Node #3: [328, 249] from Operation: 3*83=249 Current State: 79:[328, 249], Operations: ['8*41=328', '3*83=249'] Exploring Operation: 328-249=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 72, 40, 3, 83 ]
87
[ "72+40=112", "112-83=29", "3*29=87" ]
Current State: 87:[72, 40, 3, 83], Operations: [] Exploring Operation: 72+40=112, Resulting Numbers: [3, 83, 112] Generated Node #2: [3, 83, 112] from Operation: 72+40=112 Current State: 87:[3, 83, 112], Operations: ['72+40=112'] Exploring Operation: 112-83=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 112-83=29 Current State: 87:[3, 29], Operations: ['72+40=112', '112-83=29'] Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 55, 91, 43, 35 ]
28
[ "91-55=36", "43-35=8", "36-8=28" ]
Current State: 28:[55, 91, 43, 35], Operations: [] Exploring Operation: 91-55=36, Resulting Numbers: [43, 35, 36] Generated Node #2: [43, 35, 36] from Operation: 91-55=36 Current State: 28:[43, 35, 36], Operations: ['91-55=36'] Exploring Operation: 43-35=8, Resulting Numbers: [36, 8] Generated Node #3: [36, 8] from Operation: 43-35=8 Current State: 28:[36, 8], Operations: ['91-55=36', '43-35=8'] Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 6, 57, 24, 29 ]
68
[ "6+57=63", "29-24=5", "63+5=68" ]
Current State: 68:[6, 57, 24, 29], Operations: [] Exploring Operation: 6+57=63, Resulting Numbers: [24, 29, 63] Generated Node #2: [24, 29, 63] from Operation: 6+57=63 Current State: 68:[24, 29, 63], Operations: ['6+57=63'] Exploring Operation: 29-24=5, Resulting Numbers: [63, 5] Generated Node #3: [63, 5] from Operation: 29-24=5 Current State: 68:[63, 5], Operations: ['6+57=63', '29-24=5'] Exploring Operation: 63+5=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 47, 20, 59, 9 ]
41
[ "47-20=27", "59+9=68", "68-27=41" ]
Current State: 41:[47, 20, 59, 9], Operations: [] Exploring Operation: 47-20=27, Resulting Numbers: [59, 9, 27] Generated Node #2: [59, 9, 27] from Operation: 47-20=27 Current State: 41:[59, 9, 27], Operations: ['47-20=27'] Exploring Operation: 59+9=68, Resulting Numbers: [27, 68] Generated Node #3: [27, 68] from Operation: 59+9=68 Current State: 41:[27, 68], Operations: ['47-20=27', '59+9=68'] Exploring Operation: 68-27=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4