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
[ 63, 5, 93, 88 ]
53
[ "63-5=58", "93-88=5", "58-5=53" ]
Current State: 53:[63, 5, 93, 88], Operations: [] Exploring Operation: 63-5=58, Resulting Numbers: [93, 88, 58] Generated Node #2: [93, 88, 58] from Operation: 63-5=58 Current State: 53:[93, 88, 58], Operations: ['63-5=58'] Exploring Operation: 93-88=5, Resulting Numbers: [58, 5] Generated Node #3: [58, 5] from Operation: 93-88=5 Current State: 53:[58, 5], Operations: ['63-5=58', '93-88=5'] Exploring Operation: 58-5=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 21, 13, 46 ]
29
[ "21+13=34", "34/2=17", "46-17=29" ]
Current State: 29:[2, 21, 13, 46], Operations: [] Exploring Operation: 21+13=34, Resulting Numbers: [2, 46, 34] Generated Node #2: [2, 46, 34] from Operation: 21+13=34 Current State: 29:[2, 46, 34], Operations: ['21+13=34'] Exploring Operation: 34/2=17, Resulting Numbers: [46, 17] Generated Node #3: [46, 17] from Operation: 34/2=17 Current State: 29:[46, 17], Operations: ['21+13=34', '34/2=17'] Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 49, 98, 76, 2 ]
44
[ "76-49=27", "2*27=54", "98-54=44" ]
Current State: 44:[49, 98, 76, 2], Operations: [] Exploring Operation: 76-49=27, Resulting Numbers: [98, 2, 27] Generated Node #2: [98, 2, 27] from Operation: 76-49=27 Current State: 44:[98, 2, 27], Operations: ['76-49=27'] Exploring Operation: 2*27=54, Resulting Numbers: [98, 54] Generated Node #3: [98, 54] from Operation: 2*27=54 Current State: 44:[98, 54], Operations: ['76-49=27', '2*27=54'] Exploring Operation: 98-54=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 10, 42, 42, 88 ]
97
[ "10+88=98", "42/42=1", "98-1=97" ]
Current State: 97:[10, 42, 42, 88], Operations: [] Exploring Operation: 10+88=98, Resulting Numbers: [42, 42, 98] Generated Node #2: [42, 42, 98] from Operation: 10+88=98 Current State: 97:[42, 42, 98], Operations: ['10+88=98'] Exploring Operation: 42/42=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 42/42=1 Current State: 97:[98, 1], Operations: ['10+88=98', '42/42=1'] Exploring Operation: 98-1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 67, 63, 64, 34 ]
32
[ "67+63=130", "64+34=98", "130-98=32" ]
Current State: 32:[67, 63, 64, 34], Operations: [] Exploring Operation: 67+63=130, Resulting Numbers: [64, 34, 130] Generated Node #2: [64, 34, 130] from Operation: 67+63=130 Current State: 32:[64, 34, 130], Operations: ['67+63=130'] Exploring Operation: 64+34=98, Resulting Numbers: [130, 98] Generated Node #3: [130, 98] from Operation: 64+34=98 Current State: 32:[130, 98], Operations: ['67+63=130', '64+34=98'] Exploring Operation: 130-98=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 78, 43, 57, 27 ]
91
[ "78+43=121", "57-27=30", "121-30=91" ]
Current State: 91:[78, 43, 57, 27], Operations: [] Exploring Operation: 78+43=121, Resulting Numbers: [57, 27, 121] Generated Node #2: [57, 27, 121] from Operation: 78+43=121 Current State: 91:[57, 27, 121], Operations: ['78+43=121'] Exploring Operation: 57-27=30, Resulting Numbers: [121, 30] Generated Node #3: [121, 30] from Operation: 57-27=30 Current State: 91:[121, 30], Operations: ['78+43=121', '57-27=30'] Exploring Operation: 121-30=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 12, 55, 66, 15 ]
48
[ "66-55=11", "15-11=4", "12*4=48" ]
Current State: 48:[12, 55, 66, 15], Operations: [] Exploring Operation: 66-55=11, Resulting Numbers: [12, 15, 11] Generated Node #2: [12, 15, 11] from Operation: 66-55=11 Current State: 48:[12, 15, 11], Operations: ['66-55=11'] Exploring Operation: 15-11=4, Resulting Numbers: [12, 4] Generated Node #3: [12, 4] from Operation: 15-11=4 Current State: 48:[12, 4], Operations: ['66-55=11', '15-11=4'] Exploring Operation: 12*4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 93, 17, 21, 65 ]
32
[ "93-17=76", "65-21=44", "76-44=32" ]
Current State: 32:[93, 17, 21, 65], Operations: [] Exploring Operation: 93-17=76, Resulting Numbers: [21, 65, 76] Generated Node #2: [21, 65, 76] from Operation: 93-17=76 Current State: 32:[21, 65, 76], Operations: ['93-17=76'] Exploring Operation: 65-21=44, Resulting Numbers: [76, 44] Generated Node #3: [76, 44] from Operation: 65-21=44 Current State: 32:[76, 44], Operations: ['93-17=76', '65-21=44'] Exploring Operation: 76-44=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 41, 47, 88, 52 ]
51
[ "41+47=88", "88/88=1", "52-1=51" ]
Current State: 51:[41, 47, 88, 52], Operations: [] Exploring Operation: 41+47=88, Resulting Numbers: [88, 52, 88] Generated Node #2: [88, 52, 88] from Operation: 41+47=88 Current State: 51:[88, 52, 88], Operations: ['41+47=88'] Exploring Operation: 88/88=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 88/88=1 Current State: 51:[52, 1], Operations: ['41+47=88', '88/88=1'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 4, 54, 3, 21 ]
44
[ "54-21=33", "4*33=132", "132/3=44" ]
Current State: 44:[4, 54, 3, 21], Operations: [] Exploring Operation: 54-21=33, Resulting Numbers: [4, 3, 33] Generated Node #2: [4, 3, 33] from Operation: 54-21=33 Current State: 44:[4, 3, 33], Operations: ['54-21=33'] Exploring Operation: 4*33=132, Resulting Numbers: [3, 132] Generated Node #3: [3, 132] from Operation: 4*33=132 Current State: 44:[3, 132], Operations: ['54-21=33', '4*33=132'] Exploring Operation: 132/3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 76, 92, 48, 27 ]
91
[ "92-76=16", "48+27=75", "16+75=91" ]
Current State: 91:[76, 92, 48, 27], Operations: [] Exploring Operation: 92-76=16, Resulting Numbers: [48, 27, 16] Generated Node #2: [48, 27, 16] from Operation: 92-76=16 Current State: 91:[48, 27, 16], Operations: ['92-76=16'] Exploring Operation: 48+27=75, Resulting Numbers: [16, 75] Generated Node #3: [16, 75] from Operation: 48+27=75 Current State: 91:[16, 75], Operations: ['92-76=16', '48+27=75'] Exploring Operation: 16+75=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 19, 55, 11, 48 ]
24
[ "48-19=29", "55/11=5", "29-5=24" ]
Current State: 24:[19, 55, 11, 48], Operations: [] Exploring Operation: 48-19=29, Resulting Numbers: [55, 11, 29] Generated Node #2: [55, 11, 29] from Operation: 48-19=29 Current State: 24:[55, 11, 29], Operations: ['48-19=29'] Exploring Operation: 55/11=5, Resulting Numbers: [29, 5] Generated Node #3: [29, 5] from Operation: 55/11=5 Current State: 24:[29, 5], Operations: ['48-19=29', '55/11=5'] Exploring Operation: 29-5=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 10, 1, 1, 60 ]
60
[ "1-1=0", "10*0=0", "60+0=60" ]
Current State: 60:[10, 1, 1, 60], Operations: [] Exploring Operation: 1-1=0, Resulting Numbers: [10, 60, 0] Generated Node #2: [10, 60, 0] from Operation: 1-1=0 Current State: 60:[10, 60, 0], Operations: ['1-1=0'] Exploring Operation: 10*0=0, Resulting Numbers: [60, 0] Generated Node #3: [60, 0] from Operation: 10*0=0 Current State: 60:[60, 0], Operations: ['1-1=0', '10*0=0'] Exploring Operation: 60+0=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 4, 63, 12, 19 ]
98
[ "4+63=67", "12+19=31", "67+31=98" ]
Current State: 98:[4, 63, 12, 19], Operations: [] Exploring Operation: 4+63=67, Resulting Numbers: [12, 19, 67] Generated Node #2: [12, 19, 67] from Operation: 4+63=67 Current State: 98:[12, 19, 67], Operations: ['4+63=67'] Exploring Operation: 12+19=31, Resulting Numbers: [67, 31] Generated Node #3: [67, 31] from Operation: 12+19=31 Current State: 98:[67, 31], Operations: ['4+63=67', '12+19=31'] Exploring Operation: 67+31=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 24, 95, 94, 42 ]
67
[ "24+95=119", "94-42=52", "119-52=67" ]
Current State: 67:[24, 95, 94, 42], Operations: [] Exploring Operation: 24+95=119, Resulting Numbers: [94, 42, 119] Generated Node #2: [94, 42, 119] from Operation: 24+95=119 Current State: 67:[94, 42, 119], Operations: ['24+95=119'] Exploring Operation: 94-42=52, Resulting Numbers: [119, 52] Generated Node #3: [119, 52] from Operation: 94-42=52 Current State: 67:[119, 52], Operations: ['24+95=119', '94-42=52'] Exploring Operation: 119-52=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 3, 62, 33, 81 ]
82
[ "81-33=48", "3*48=144", "144-62=82" ]
Current State: 82:[3, 62, 33, 81], Operations: [] Exploring Operation: 81-33=48, Resulting Numbers: [3, 62, 48] Generated Node #2: [3, 62, 48] from Operation: 81-33=48 Current State: 82:[3, 62, 48], Operations: ['81-33=48'] Exploring Operation: 3*48=144, Resulting Numbers: [62, 144] Generated Node #3: [62, 144] from Operation: 3*48=144 Current State: 82:[62, 144], Operations: ['81-33=48', '3*48=144'] Exploring Operation: 144-62=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 19, 5, 11, 63 ]
23
[ "19-11=8", "5*8=40", "63-40=23" ]
Current State: 23:[19, 5, 11, 63], Operations: [] Exploring Operation: 19-11=8, Resulting Numbers: [5, 63, 8] Generated Node #2: [5, 63, 8] from Operation: 19-11=8 Current State: 23:[5, 63, 8], Operations: ['19-11=8'] Exploring Operation: 5*8=40, Resulting Numbers: [63, 40] Generated Node #3: [63, 40] from Operation: 5*8=40 Current State: 23:[63, 40], Operations: ['19-11=8', '5*8=40'] Exploring Operation: 63-40=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 66, 83, 77, 14 ]
95
[ "66*14=924", "924/77=12", "83+12=95" ]
Current State: 95:[66, 83, 77, 14], Operations: [] Exploring Operation: 66*14=924, Resulting Numbers: [83, 77, 924] Generated Node #2: [83, 77, 924] from Operation: 66*14=924 Current State: 95:[83, 77, 924], Operations: ['66*14=924'] Exploring Operation: 924/77=12, Resulting Numbers: [83, 12] Generated Node #3: [83, 12] from Operation: 924/77=12 Current State: 95:[83, 12], Operations: ['66*14=924', '924/77=12'] Exploring Operation: 83+12=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 28, 14, 72, 84 ]
14
[ "28/14=2", "84-72=12", "2+12=14" ]
Current State: 14:[28, 14, 72, 84], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [72, 84, 2] Generated Node #2: [72, 84, 2] from Operation: 28/14=2 Current State: 14:[72, 84, 2], Operations: ['28/14=2'] Exploring Operation: 84-72=12, Resulting Numbers: [2, 12] Generated Node #3: [2, 12] from Operation: 84-72=12 Current State: 14:[2, 12], Operations: ['28/14=2', '84-72=12'] Exploring Operation: 2+12=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 97, 83, 15, 25 ]
18
[ "97+83=180", "25-15=10", "180/10=18" ]
Current State: 18:[97, 83, 15, 25], Operations: [] Exploring Operation: 97+83=180, Resulting Numbers: [15, 25, 180] Generated Node #2: [15, 25, 180] from Operation: 97+83=180 Current State: 18:[15, 25, 180], Operations: ['97+83=180'] Exploring Operation: 25-15=10, Resulting Numbers: [180, 10] Generated Node #3: [180, 10] from Operation: 25-15=10 Current State: 18:[180, 10], Operations: ['97+83=180', '25-15=10'] Exploring Operation: 180/10=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 15, 84, 28, 14 ]
36
[ "15*28=420", "84+420=504", "504/14=36" ]
Current State: 36:[15, 84, 28, 14], Operations: [] Exploring Operation: 15*28=420, Resulting Numbers: [84, 14, 420] Generated Node #2: [84, 14, 420] from Operation: 15*28=420 Current State: 36:[84, 14, 420], Operations: ['15*28=420'] Exploring Operation: 84+420=504, Resulting Numbers: [14, 504] Generated Node #3: [14, 504] from Operation: 84+420=504 Current State: 36:[14, 504], Operations: ['15*28=420', '84+420=504'] Exploring Operation: 504/14=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 69, 30, 24, 51 ]
96
[ "69+51=120", "120/30=4", "24*4=96" ]
Current State: 96:[69, 30, 24, 51], Operations: [] Exploring Operation: 69+51=120, Resulting Numbers: [30, 24, 120] Generated Node #2: [30, 24, 120] from Operation: 69+51=120 Current State: 96:[30, 24, 120], Operations: ['69+51=120'] Exploring Operation: 120/30=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 120/30=4 Current State: 96:[24, 4], Operations: ['69+51=120', '120/30=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 41, 3, 14, 56 ]
25
[ "41-14=27", "3*27=81", "81-56=25" ]
Current State: 25:[41, 3, 14, 56], Operations: [] Exploring Operation: 41-14=27, Resulting Numbers: [3, 56, 27] Generated Node #2: [3, 56, 27] from Operation: 41-14=27 Current State: 25:[3, 56, 27], Operations: ['41-14=27'] Exploring Operation: 3*27=81, Resulting Numbers: [56, 81] Generated Node #3: [56, 81] from Operation: 3*27=81 Current State: 25:[56, 81], Operations: ['41-14=27', '3*27=81'] Exploring Operation: 81-56=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 46, 10, 43, 43 ]
99
[ "46-43=3", "43-10=33", "3*33=99" ]
Current State: 99:[46, 10, 43, 43], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [10, 3] Generated Node #2: [10, 3] from Operation: 46-43=3 Current State: 99:[10, 3], Operations: ['46-43=3'] Exploring Operation: 43-10=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 43-10=33 Current State: 99:[3, 33], Operations: ['46-43=3', '43-10=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 1, 7, 12, 34 ]
39
[ "1*7=7", "12+34=46", "46-7=39" ]
Current State: 39:[1, 7, 12, 34], Operations: [] Exploring Operation: 1*7=7, Resulting Numbers: [12, 34, 7] Generated Node #2: [12, 34, 7] from Operation: 1*7=7 Current State: 39:[12, 34, 7], Operations: ['1*7=7'] Exploring Operation: 12+34=46, Resulting Numbers: [7, 46] Generated Node #3: [7, 46] from Operation: 12+34=46 Current State: 39:[7, 46], Operations: ['1*7=7', '12+34=46'] Exploring Operation: 46-7=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 97, 19, 49, 52 ]
26
[ "97-19=78", "52-49=3", "78/3=26" ]
Current State: 26:[97, 19, 49, 52], Operations: [] Exploring Operation: 97-19=78, Resulting Numbers: [49, 52, 78] Generated Node #2: [49, 52, 78] from Operation: 97-19=78 Current State: 26:[49, 52, 78], Operations: ['97-19=78'] Exploring Operation: 52-49=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 52-49=3 Current State: 26:[78, 3], Operations: ['97-19=78', '52-49=3'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 43, 52, 9, 6 ]
35
[ "52*9=468", "468/6=78", "78-43=35" ]
Current State: 35:[43, 52, 9, 6], Operations: [] Exploring Operation: 52*9=468, Resulting Numbers: [43, 6, 468] Generated Node #2: [43, 6, 468] from Operation: 52*9=468 Current State: 35:[43, 6, 468], Operations: ['52*9=468'] Exploring Operation: 468/6=78, Resulting Numbers: [43, 78] Generated Node #3: [43, 78] from Operation: 468/6=78 Current State: 35:[43, 78], Operations: ['52*9=468', '468/6=78'] Exploring Operation: 78-43=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 98, 56, 12, 87 ]
56
[ "98-12=86", "87-86=1", "56*1=56" ]
Current State: 56:[98, 56, 12, 87], Operations: [] Exploring Operation: 98-12=86, Resulting Numbers: [56, 87, 86] Generated Node #2: [56, 87, 86] from Operation: 98-12=86 Current State: 56:[56, 87, 86], Operations: ['98-12=86'] Exploring Operation: 87-86=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 87-86=1 Current State: 56:[56, 1], Operations: ['98-12=86', '87-86=1'] Exploring Operation: 56*1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 17, 56, 63, 2 ]
32
[ "17+63=80", "56*2=112", "112-80=32" ]
Current State: 32:[17, 56, 63, 2], Operations: [] Exploring Operation: 17+63=80, Resulting Numbers: [56, 2, 80] Generated Node #2: [56, 2, 80] from Operation: 17+63=80 Current State: 32:[56, 2, 80], Operations: ['17+63=80'] Exploring Operation: 56*2=112, Resulting Numbers: [80, 112] Generated Node #3: [80, 112] from Operation: 56*2=112 Current State: 32:[80, 112], Operations: ['17+63=80', '56*2=112'] Exploring Operation: 112-80=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 18, 21, 98, 38 ]
20
[ "21-18=3", "98-38=60", "60/3=20" ]
Current State: 20:[18, 21, 98, 38], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [98, 38, 3] Generated Node #2: [98, 38, 3] from Operation: 21-18=3 Current State: 20:[98, 38, 3], Operations: ['21-18=3'] Exploring Operation: 98-38=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 98-38=60 Current State: 20:[3, 60], Operations: ['21-18=3', '98-38=60'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 63, 95, 88, 85 ]
76
[ "95-88=7", "63/7=9", "85-9=76" ]
Current State: 76:[63, 95, 88, 85], Operations: [] Exploring Operation: 95-88=7, Resulting Numbers: [63, 85, 7] Generated Node #2: [63, 85, 7] from Operation: 95-88=7 Current State: 76:[63, 85, 7], Operations: ['95-88=7'] Exploring Operation: 63/7=9, Resulting Numbers: [85, 9] Generated Node #3: [85, 9] from Operation: 63/7=9 Current State: 76:[85, 9], Operations: ['95-88=7', '63/7=9'] Exploring Operation: 85-9=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 12, 6, 18, 44 ]
45
[ "12+6=18", "18/18=1", "44+1=45" ]
Current State: 45:[12, 6, 18, 44], Operations: [] Exploring Operation: 12+6=18, Resulting Numbers: [18, 44, 18] Generated Node #2: [18, 44, 18] from Operation: 12+6=18 Current State: 45:[18, 44, 18], Operations: ['12+6=18'] Exploring Operation: 18/18=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 18/18=1 Current State: 45:[44, 1], Operations: ['12+6=18', '18/18=1'] Exploring Operation: 44+1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 6, 16, 3, 12 ]
42
[ "16-6=10", "3*10=30", "12+30=42" ]
Current State: 42:[6, 16, 3, 12], Operations: [] Exploring Operation: 16-6=10, Resulting Numbers: [3, 12, 10] Generated Node #2: [3, 12, 10] from Operation: 16-6=10 Current State: 42:[3, 12, 10], Operations: ['16-6=10'] Exploring Operation: 3*10=30, Resulting Numbers: [12, 30] Generated Node #3: [12, 30] from Operation: 3*10=30 Current State: 42:[12, 30], Operations: ['16-6=10', '3*10=30'] Exploring Operation: 12+30=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 72, 75, 84, 83 ]
75
[ "84-75=9", "72/9=8", "83-8=75" ]
Current State: 75:[72, 75, 84, 83], Operations: [] Exploring Operation: 84-75=9, Resulting Numbers: [72, 83, 9] Generated Node #2: [72, 83, 9] from Operation: 84-75=9 Current State: 75:[72, 83, 9], Operations: ['84-75=9'] Exploring Operation: 72/9=8, Resulting Numbers: [83, 8] Generated Node #3: [83, 8] from Operation: 72/9=8 Current State: 75:[83, 8], Operations: ['84-75=9', '72/9=8'] Exploring Operation: 83-8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 34, 82, 79, 16 ]
14
[ "82-79=3", "16*3=48", "48-34=14" ]
Current State: 14:[34, 82, 79, 16], Operations: [] Exploring Operation: 82-79=3, Resulting Numbers: [34, 16, 3] Generated Node #2: [34, 16, 3] from Operation: 82-79=3 Current State: 14:[34, 16, 3], Operations: ['82-79=3'] Exploring Operation: 16*3=48, Resulting Numbers: [34, 48] Generated Node #3: [34, 48] from Operation: 16*3=48 Current State: 14:[34, 48], Operations: ['82-79=3', '16*3=48'] Exploring Operation: 48-34=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 10, 78, 24, 68 ]
44
[ "10+78=88", "68-24=44", "88-44=44" ]
Current State: 44:[10, 78, 24, 68], Operations: [] Exploring Operation: 10+78=88, Resulting Numbers: [24, 68, 88] Generated Node #2: [24, 68, 88] from Operation: 10+78=88 Current State: 44:[24, 68, 88], Operations: ['10+78=88'] Exploring Operation: 68-24=44, Resulting Numbers: [88, 44] Generated Node #3: [88, 44] from Operation: 68-24=44 Current State: 44:[88, 44], Operations: ['10+78=88', '68-24=44'] Exploring Operation: 88-44=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 7, 72, 34, 27 ]
18
[ "7+72=79", "34+27=61", "79-61=18" ]
Current State: 18:[7, 72, 34, 27], Operations: [] Exploring Operation: 7+72=79, Resulting Numbers: [34, 27, 79] Generated Node #2: [34, 27, 79] from Operation: 7+72=79 Current State: 18:[34, 27, 79], Operations: ['7+72=79'] Exploring Operation: 34+27=61, Resulting Numbers: [79, 61] Generated Node #3: [79, 61] from Operation: 34+27=61 Current State: 18:[79, 61], Operations: ['7+72=79', '34+27=61'] Exploring Operation: 79-61=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 57, 62, 94, 72 ]
97
[ "57+62=119", "94-72=22", "119-22=97" ]
Current State: 97:[57, 62, 94, 72], Operations: [] Exploring Operation: 57+62=119, Resulting Numbers: [94, 72, 119] Generated Node #2: [94, 72, 119] from Operation: 57+62=119 Current State: 97:[94, 72, 119], Operations: ['57+62=119'] Exploring Operation: 94-72=22, Resulting Numbers: [119, 22] Generated Node #3: [119, 22] from Operation: 94-72=22 Current State: 97:[119, 22], Operations: ['57+62=119', '94-72=22'] Exploring Operation: 119-22=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 12, 84, 45, 90 ]
63
[ "84-12=72", "45+90=135", "135-72=63" ]
Current State: 63:[12, 84, 45, 90], Operations: [] Exploring Operation: 84-12=72, Resulting Numbers: [45, 90, 72] Generated Node #2: [45, 90, 72] from Operation: 84-12=72 Current State: 63:[45, 90, 72], Operations: ['84-12=72'] Exploring Operation: 45+90=135, Resulting Numbers: [72, 135] Generated Node #3: [72, 135] from Operation: 45+90=135 Current State: 63:[72, 135], Operations: ['84-12=72', '45+90=135'] Exploring Operation: 135-72=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 52, 52, 22, 36 ]
56
[ "52+36=88", "88/22=4", "52+4=56" ]
Current State: 56:[52, 52, 22, 36], Operations: [] Exploring Operation: 52+36=88, Resulting Numbers: [22, 88] Generated Node #2: [22, 88] from Operation: 52+36=88 Current State: 56:[22, 88], Operations: ['52+36=88'] Exploring Operation: 88/22=4, Resulting Numbers: [4] 4,56 equal: Goal Reached Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 88, 71, 4, 55 ]
100
[ "88+71=159", "4+55=59", "159-59=100" ]
Current State: 100:[88, 71, 4, 55], Operations: [] Exploring Operation: 88+71=159, Resulting Numbers: [4, 55, 159] Generated Node #2: [4, 55, 159] from Operation: 88+71=159 Current State: 100:[4, 55, 159], Operations: ['88+71=159'] Exploring Operation: 4+55=59, Resulting Numbers: [159, 59] Generated Node #3: [159, 59] from Operation: 4+55=59 Current State: 100:[159, 59], Operations: ['88+71=159', '4+55=59'] Exploring Operation: 159-59=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 5, 50, 20, 99 ]
74
[ "50-5=45", "20+99=119", "119-45=74" ]
Current State: 74:[5, 50, 20, 99], Operations: [] Exploring Operation: 50-5=45, Resulting Numbers: [20, 99, 45] Generated Node #2: [20, 99, 45] from Operation: 50-5=45 Current State: 74:[20, 99, 45], Operations: ['50-5=45'] Exploring Operation: 20+99=119, Resulting Numbers: [45, 119] Generated Node #3: [45, 119] from Operation: 20+99=119 Current State: 74:[45, 119], Operations: ['50-5=45', '20+99=119'] Exploring Operation: 119-45=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 74, 47, 83, 32 ]
24
[ "74-47=27", "83-32=51", "51-27=24" ]
Current State: 24:[74, 47, 83, 32], Operations: [] Exploring Operation: 74-47=27, Resulting Numbers: [83, 32, 27] Generated Node #2: [83, 32, 27] from Operation: 74-47=27 Current State: 24:[83, 32, 27], Operations: ['74-47=27'] Exploring Operation: 83-32=51, Resulting Numbers: [27, 51] Generated Node #3: [27, 51] from Operation: 83-32=51 Current State: 24:[27, 51], Operations: ['74-47=27', '83-32=51'] Exploring Operation: 51-27=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 33, 3, 46, 10 ]
92
[ "33+3=36", "46+10=56", "36+56=92" ]
Current State: 92:[33, 3, 46, 10], Operations: [] Exploring Operation: 33+3=36, Resulting Numbers: [46, 10, 36] Generated Node #2: [46, 10, 36] from Operation: 33+3=36 Current State: 92:[46, 10, 36], Operations: ['33+3=36'] Exploring Operation: 46+10=56, Resulting Numbers: [36, 56] Generated Node #3: [36, 56] from Operation: 46+10=56 Current State: 92:[36, 56], Operations: ['33+3=36', '46+10=56'] Exploring Operation: 36+56=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 40, 6, 29, 50 ]
84
[ "40+50=90", "6*29=174", "174-90=84" ]
Current State: 84:[40, 6, 29, 50], Operations: [] Exploring Operation: 40+50=90, Resulting Numbers: [6, 29, 90] Generated Node #2: [6, 29, 90] from Operation: 40+50=90 Current State: 84:[6, 29, 90], Operations: ['40+50=90'] Exploring Operation: 6*29=174, Resulting Numbers: [90, 174] Generated Node #3: [90, 174] from Operation: 6*29=174 Current State: 84:[90, 174], Operations: ['40+50=90', '6*29=174'] Exploring Operation: 174-90=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 43, 30, 5, 51 ]
17
[ "43+30=73", "5+51=56", "73-56=17" ]
Current State: 17:[43, 30, 5, 51], Operations: [] Exploring Operation: 43+30=73, Resulting Numbers: [5, 51, 73] Generated Node #2: [5, 51, 73] from Operation: 43+30=73 Current State: 17:[5, 51, 73], Operations: ['43+30=73'] Exploring Operation: 5+51=56, Resulting Numbers: [73, 56] Generated Node #3: [73, 56] from Operation: 5+51=56 Current State: 17:[73, 56], Operations: ['43+30=73', '5+51=56'] Exploring Operation: 73-56=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 59, 74, 51, 91 ]
93
[ "59+74=133", "91-51=40", "133-40=93" ]
Current State: 93:[59, 74, 51, 91], Operations: [] Exploring Operation: 59+74=133, Resulting Numbers: [51, 91, 133] Generated Node #2: [51, 91, 133] from Operation: 59+74=133 Current State: 93:[51, 91, 133], Operations: ['59+74=133'] Exploring Operation: 91-51=40, Resulting Numbers: [133, 40] Generated Node #3: [133, 40] from Operation: 91-51=40 Current State: 93:[133, 40], Operations: ['59+74=133', '91-51=40'] Exploring Operation: 133-40=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 94, 93, 24, 32 ]
36
[ "94-32=62", "93*24=2232", "2232/62=36" ]
Current State: 36:[94, 93, 24, 32], Operations: [] Exploring Operation: 94-32=62, Resulting Numbers: [93, 24, 62] Generated Node #2: [93, 24, 62] from Operation: 94-32=62 Current State: 36:[93, 24, 62], Operations: ['94-32=62'] Exploring Operation: 93*24=2232, Resulting Numbers: [62, 2232] Generated Node #3: [62, 2232] from Operation: 93*24=2232 Current State: 36:[62, 2232], Operations: ['94-32=62', '93*24=2232'] Exploring Operation: 2232/62=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 25, 12, 77 ]
39
[ "2*25=50", "12+77=89", "89-50=39" ]
Current State: 39:[2, 25, 12, 77], Operations: [] Exploring Operation: 2*25=50, Resulting Numbers: [12, 77, 50] Generated Node #2: [12, 77, 50] from Operation: 2*25=50 Current State: 39:[12, 77, 50], Operations: ['2*25=50'] Exploring Operation: 12+77=89, Resulting Numbers: [50, 89] Generated Node #3: [50, 89] from Operation: 12+77=89 Current State: 39:[50, 89], Operations: ['2*25=50', '12+77=89'] Exploring Operation: 89-50=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 71, 85, 23, 5 ]
77
[ "71+23=94", "85/5=17", "94-17=77" ]
Current State: 77:[71, 85, 23, 5], Operations: [] Exploring Operation: 71+23=94, Resulting Numbers: [85, 5, 94] Generated Node #2: [85, 5, 94] from Operation: 71+23=94 Current State: 77:[85, 5, 94], Operations: ['71+23=94'] Exploring Operation: 85/5=17, Resulting Numbers: [94, 17] Generated Node #3: [94, 17] from Operation: 85/5=17 Current State: 77:[94, 17], Operations: ['71+23=94', '85/5=17'] Exploring Operation: 94-17=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 38, 9, 70, 99 ]
18
[ "38+9=47", "99-70=29", "47-29=18" ]
Current State: 18:[38, 9, 70, 99], Operations: [] Exploring Operation: 38+9=47, Resulting Numbers: [70, 99, 47] Generated Node #2: [70, 99, 47] from Operation: 38+9=47 Current State: 18:[70, 99, 47], Operations: ['38+9=47'] Exploring Operation: 99-70=29, Resulting Numbers: [47, 29] Generated Node #3: [47, 29] from Operation: 99-70=29 Current State: 18:[47, 29], Operations: ['38+9=47', '99-70=29'] Exploring Operation: 47-29=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 35, 21, 28, 30 ]
10
[ "35+28=63", "21*30=630", "630/63=10" ]
Current State: 10:[35, 21, 28, 30], Operations: [] Exploring Operation: 35+28=63, Resulting Numbers: [21, 30, 63] Generated Node #2: [21, 30, 63] from Operation: 35+28=63 Current State: 10:[21, 30, 63], Operations: ['35+28=63'] Exploring Operation: 21*30=630, Resulting Numbers: [63, 630] Generated Node #3: [63, 630] from Operation: 21*30=630 Current State: 10:[63, 630], Operations: ['35+28=63', '21*30=630'] Exploring Operation: 630/63=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 26, 34, 15, 27 ]
34
[ "34-26=8", "15+27=42", "42-8=34" ]
Current State: 34:[26, 34, 15, 27], Operations: [] Exploring Operation: 34-26=8, Resulting Numbers: [15, 27, 8] Generated Node #2: [15, 27, 8] from Operation: 34-26=8 Current State: 34:[15, 27, 8], Operations: ['34-26=8'] Exploring Operation: 15+27=42, Resulting Numbers: [8, 42] Generated Node #3: [8, 42] from Operation: 15+27=42 Current State: 34:[8, 42], Operations: ['34-26=8', '15+27=42'] Exploring Operation: 42-8=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 41, 43, 6, 20 ]
13
[ "43-41=2", "6+20=26", "26/2=13" ]
Current State: 13:[41, 43, 6, 20], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [6, 20, 2] Generated Node #2: [6, 20, 2] from Operation: 43-41=2 Current State: 13:[6, 20, 2], Operations: ['43-41=2'] Exploring Operation: 6+20=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 6+20=26 Current State: 13:[2, 26], Operations: ['43-41=2', '6+20=26'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 1, 35, 18, 96 ]
80
[ "35-1=34", "18+96=114", "114-34=80" ]
Current State: 80:[1, 35, 18, 96], Operations: [] Exploring Operation: 35-1=34, Resulting Numbers: [18, 96, 34] Generated Node #2: [18, 96, 34] from Operation: 35-1=34 Current State: 80:[18, 96, 34], Operations: ['35-1=34'] Exploring Operation: 18+96=114, Resulting Numbers: [34, 114] Generated Node #3: [34, 114] from Operation: 18+96=114 Current State: 80:[34, 114], Operations: ['35-1=34', '18+96=114'] Exploring Operation: 114-34=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 7, 89, 26, 4 ]
97
[ "7*26=182", "89-4=85", "182-85=97" ]
Current State: 97:[7, 89, 26, 4], Operations: [] Exploring Operation: 7*26=182, Resulting Numbers: [89, 4, 182] Generated Node #2: [89, 4, 182] from Operation: 7*26=182 Current State: 97:[89, 4, 182], Operations: ['7*26=182'] Exploring Operation: 89-4=85, Resulting Numbers: [182, 85] Generated Node #3: [182, 85] from Operation: 89-4=85 Current State: 97:[182, 85], Operations: ['7*26=182', '89-4=85'] Exploring Operation: 182-85=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 27, 99, 5, 16 ]
44
[ "27-16=11", "5*11=55", "99-55=44" ]
Current State: 44:[27, 99, 5, 16], Operations: [] Exploring Operation: 27-16=11, Resulting Numbers: [99, 5, 11] Generated Node #2: [99, 5, 11] from Operation: 27-16=11 Current State: 44:[99, 5, 11], Operations: ['27-16=11'] Exploring Operation: 5*11=55, Resulting Numbers: [99, 55] Generated Node #3: [99, 55] from Operation: 5*11=55 Current State: 44:[99, 55], Operations: ['27-16=11', '5*11=55'] Exploring Operation: 99-55=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 47, 68, 47, 30 ]
38
[ "47+68=115", "47+30=77", "115-77=38" ]
Current State: 38:[47, 68, 47, 30], Operations: [] Exploring Operation: 47+68=115, Resulting Numbers: [30, 115] Generated Node #2: [30, 115] from Operation: 47+68=115 Current State: 38:[30, 115], Operations: ['47+68=115'] Exploring Operation: 47+30=77, Resulting Numbers: [115, 77] Generated Node #3: [115, 77] from Operation: 47+30=77 Current State: 38:[115, 77], Operations: ['47+68=115', '47+30=77'] Exploring Operation: 115-77=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 86, 78, 76, 60 ]
73
[ "86+60=146", "78-76=2", "146/2=73" ]
Current State: 73:[86, 78, 76, 60], Operations: [] Exploring Operation: 86+60=146, Resulting Numbers: [78, 76, 146] Generated Node #2: [78, 76, 146] from Operation: 86+60=146 Current State: 73:[78, 76, 146], Operations: ['86+60=146'] Exploring Operation: 78-76=2, Resulting Numbers: [146, 2] Generated Node #3: [146, 2] from Operation: 78-76=2 Current State: 73:[146, 2], Operations: ['86+60=146', '78-76=2'] Exploring Operation: 146/2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 76, 25, 50, 20 ]
28
[ "76-20=56", "50/25=2", "56/2=28" ]
Current State: 28:[76, 25, 50, 20], Operations: [] Exploring Operation: 76-20=56, Resulting Numbers: [25, 50, 56] Generated Node #2: [25, 50, 56] from Operation: 76-20=56 Current State: 28:[25, 50, 56], Operations: ['76-20=56'] Exploring Operation: 50/25=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 50/25=2 Current State: 28:[56, 2], Operations: ['76-20=56', '50/25=2'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 87, 75, 9, 23 ]
99
[ "87-75=12", "23-12=11", "9*11=99" ]
Current State: 99:[87, 75, 9, 23], Operations: [] Exploring Operation: 87-75=12, Resulting Numbers: [9, 23, 12] Generated Node #2: [9, 23, 12] from Operation: 87-75=12 Current State: 99:[9, 23, 12], Operations: ['87-75=12'] Exploring Operation: 23-12=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 23-12=11 Current State: 99:[9, 11], Operations: ['87-75=12', '23-12=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 95, 27, 71, 4 ]
47
[ "95+27=122", "71+4=75", "122-75=47" ]
Current State: 47:[95, 27, 71, 4], Operations: [] Exploring Operation: 95+27=122, Resulting Numbers: [71, 4, 122] Generated Node #2: [71, 4, 122] from Operation: 95+27=122 Current State: 47:[71, 4, 122], Operations: ['95+27=122'] Exploring Operation: 71+4=75, Resulting Numbers: [122, 75] Generated Node #3: [122, 75] from Operation: 71+4=75 Current State: 47:[122, 75], Operations: ['95+27=122', '71+4=75'] Exploring Operation: 122-75=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 52, 58, 57, 33 ]
18
[ "58-52=6", "57-33=24", "24-6=18" ]
Current State: 18:[52, 58, 57, 33], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [57, 33, 6] Generated Node #2: [57, 33, 6] from Operation: 58-52=6 Current State: 18:[57, 33, 6], Operations: ['58-52=6'] Exploring Operation: 57-33=24, Resulting Numbers: [6, 24] Generated Node #3: [6, 24] from Operation: 57-33=24 Current State: 18:[6, 24], Operations: ['58-52=6', '57-33=24'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 88, 6, 96, 2 ]
92
[ "88+6=94", "2*94=188", "188-96=92" ]
Current State: 92:[88, 6, 96, 2], Operations: [] Exploring Operation: 88+6=94, Resulting Numbers: [96, 2, 94] Generated Node #2: [96, 2, 94] from Operation: 88+6=94 Current State: 92:[96, 2, 94], Operations: ['88+6=94'] Exploring Operation: 2*94=188, Resulting Numbers: [96, 188] Generated Node #3: [96, 188] from Operation: 2*94=188 Current State: 92:[96, 188], Operations: ['88+6=94', '2*94=188'] Exploring Operation: 188-96=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 30, 21, 4, 54 ]
16
[ "30+54=84", "84/21=4", "4*4=16" ]
Current State: 16:[30, 21, 4, 54], Operations: [] Exploring Operation: 30+54=84, Resulting Numbers: [21, 4, 84] Generated Node #2: [21, 4, 84] from Operation: 30+54=84 Current State: 16:[21, 4, 84], Operations: ['30+54=84'] Exploring Operation: 84/21=4, Resulting Numbers: [4, 4] Generated Node #3: [4, 4] from Operation: 84/21=4 Current State: 16:[4, 4], Operations: ['30+54=84', '84/21=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 4, 27, 49, 75 ]
94
[ "4*49=196", "27+75=102", "196-102=94" ]
Current State: 94:[4, 27, 49, 75], Operations: [] Exploring Operation: 4*49=196, Resulting Numbers: [27, 75, 196] Generated Node #2: [27, 75, 196] from Operation: 4*49=196 Current State: 94:[27, 75, 196], Operations: ['4*49=196'] Exploring Operation: 27+75=102, Resulting Numbers: [196, 102] Generated Node #3: [196, 102] from Operation: 27+75=102 Current State: 94:[196, 102], Operations: ['4*49=196', '27+75=102'] Exploring Operation: 196-102=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 94, 89, 39, 28 ]
16
[ "94-89=5", "39-28=11", "5+11=16" ]
Current State: 16:[94, 89, 39, 28], Operations: [] Exploring Operation: 94-89=5, Resulting Numbers: [39, 28, 5] Generated Node #2: [39, 28, 5] from Operation: 94-89=5 Current State: 16:[39, 28, 5], Operations: ['94-89=5'] Exploring Operation: 39-28=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 39-28=11 Current State: 16:[5, 11], Operations: ['94-89=5', '39-28=11'] Exploring Operation: 5+11=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 37, 87, 26, 8 ]
78
[ "37-8=29", "87*26=2262", "2262/29=78" ]
Current State: 78:[37, 87, 26, 8], Operations: [] Exploring Operation: 37-8=29, Resulting Numbers: [87, 26, 29] Generated Node #2: [87, 26, 29] from Operation: 37-8=29 Current State: 78:[87, 26, 29], Operations: ['37-8=29'] Exploring Operation: 87*26=2262, Resulting Numbers: [29, 2262] Generated Node #3: [29, 2262] from Operation: 87*26=2262 Current State: 78:[29, 2262], Operations: ['37-8=29', '87*26=2262'] Exploring Operation: 2262/29=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 89, 54, 58, 85 ]
62
[ "89-54=35", "85-58=27", "35+27=62" ]
Current State: 62:[89, 54, 58, 85], Operations: [] Exploring Operation: 89-54=35, Resulting Numbers: [58, 85, 35] Generated Node #2: [58, 85, 35] from Operation: 89-54=35 Current State: 62:[58, 85, 35], Operations: ['89-54=35'] Exploring Operation: 85-58=27, Resulting Numbers: [35, 27] Generated Node #3: [35, 27] from Operation: 85-58=27 Current State: 62:[35, 27], Operations: ['89-54=35', '85-58=27'] Exploring Operation: 35+27=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 35, 35, 64, 79 ]
55
[ "35+35=70", "79-64=15", "70-15=55" ]
Current State: 55:[35, 35, 64, 79], Operations: [] Exploring Operation: 35+35=70, Resulting Numbers: [64, 79, 70] Generated Node #2: [64, 79, 70] from Operation: 35+35=70 Current State: 55:[64, 79, 70], Operations: ['35+35=70'] Exploring Operation: 79-64=15, Resulting Numbers: [70, 15] Generated Node #3: [70, 15] from Operation: 79-64=15 Current State: 55:[70, 15], Operations: ['35+35=70', '79-64=15'] Exploring Operation: 70-15=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 19, 56, 10, 1 ]
58
[ "19+1=20", "20/10=2", "56+2=58" ]
Current State: 58:[19, 56, 10, 1], Operations: [] Exploring Operation: 19+1=20, Resulting Numbers: [56, 10, 20] Generated Node #2: [56, 10, 20] from Operation: 19+1=20 Current State: 58:[56, 10, 20], Operations: ['19+1=20'] Exploring Operation: 20/10=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 20/10=2 Current State: 58:[56, 2], Operations: ['19+1=20', '20/10=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 75, 99, 80, 8 ]
33
[ "80-75=5", "8-5=3", "99/3=33" ]
Current State: 33:[75, 99, 80, 8], Operations: [] Exploring Operation: 80-75=5, Resulting Numbers: [99, 8, 5] Generated Node #2: [99, 8, 5] from Operation: 80-75=5 Current State: 33:[99, 8, 5], Operations: ['80-75=5'] Exploring Operation: 8-5=3, Resulting Numbers: [99, 3] Generated Node #3: [99, 3] from Operation: 8-5=3 Current State: 33:[99, 3], Operations: ['80-75=5', '8-5=3'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 73, 77, 85, 60 ]
82
[ "85-73=12", "60/12=5", "77+5=82" ]
Current State: 82:[73, 77, 85, 60], Operations: [] Exploring Operation: 85-73=12, Resulting Numbers: [77, 60, 12] Generated Node #2: [77, 60, 12] from Operation: 85-73=12 Current State: 82:[77, 60, 12], Operations: ['85-73=12'] Exploring Operation: 60/12=5, Resulting Numbers: [77, 5] Generated Node #3: [77, 5] from Operation: 60/12=5 Current State: 82:[77, 5], Operations: ['85-73=12', '60/12=5'] Exploring Operation: 77+5=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 19, 99, 69, 95 ]
84
[ "99-19=80", "69+95=164", "164-80=84" ]
Current State: 84:[19, 99, 69, 95], Operations: [] Exploring Operation: 99-19=80, Resulting Numbers: [69, 95, 80] Generated Node #2: [69, 95, 80] from Operation: 99-19=80 Current State: 84:[69, 95, 80], Operations: ['99-19=80'] Exploring Operation: 69+95=164, Resulting Numbers: [80, 164] Generated Node #3: [80, 164] from Operation: 69+95=164 Current State: 84:[80, 164], Operations: ['99-19=80', '69+95=164'] Exploring Operation: 164-80=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 27, 8, 14, 41 ]
63
[ "27-14=13", "8*13=104", "104-41=63" ]
Current State: 63:[27, 8, 14, 41], Operations: [] Exploring Operation: 27-14=13, Resulting Numbers: [8, 41, 13] Generated Node #2: [8, 41, 13] from Operation: 27-14=13 Current State: 63:[8, 41, 13], Operations: ['27-14=13'] Exploring Operation: 8*13=104, Resulting Numbers: [41, 104] Generated Node #3: [41, 104] from Operation: 8*13=104 Current State: 63:[41, 104], Operations: ['27-14=13', '8*13=104'] Exploring Operation: 104-41=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 56, 16, 70, 8 ]
84
[ "16*70=1120", "1120/8=140", "140-56=84" ]
Current State: 84:[56, 16, 70, 8], Operations: [] Exploring Operation: 16*70=1120, Resulting Numbers: [56, 8, 1120] Generated Node #2: [56, 8, 1120] from Operation: 16*70=1120 Current State: 84:[56, 8, 1120], Operations: ['16*70=1120'] Exploring Operation: 1120/8=140, Resulting Numbers: [56, 140] Generated Node #3: [56, 140] from Operation: 1120/8=140 Current State: 84:[56, 140], Operations: ['16*70=1120', '1120/8=140'] Exploring Operation: 140-56=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 35, 10, 39, 5 ]
23
[ "39*5=195", "35+195=230", "230/10=23" ]
Current State: 23:[35, 10, 39, 5], Operations: [] Exploring Operation: 39*5=195, Resulting Numbers: [35, 10, 195] Generated Node #2: [35, 10, 195] from Operation: 39*5=195 Current State: 23:[35, 10, 195], Operations: ['39*5=195'] Exploring Operation: 35+195=230, Resulting Numbers: [10, 230] Generated Node #3: [10, 230] from Operation: 35+195=230 Current State: 23:[10, 230], Operations: ['39*5=195', '35+195=230'] Exploring Operation: 230/10=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 94, 32, 82, 75 ]
18
[ "94+32=126", "82-75=7", "126/7=18" ]
Current State: 18:[94, 32, 82, 75], Operations: [] Exploring Operation: 94+32=126, Resulting Numbers: [82, 75, 126] Generated Node #2: [82, 75, 126] from Operation: 94+32=126 Current State: 18:[82, 75, 126], Operations: ['94+32=126'] Exploring Operation: 82-75=7, Resulting Numbers: [126, 7] Generated Node #3: [126, 7] from Operation: 82-75=7 Current State: 18:[126, 7], Operations: ['94+32=126', '82-75=7'] Exploring Operation: 126/7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 2, 32, 9, 9 ]
73
[ "32+9=41", "2*41=82", "82-9=73" ]
Current State: 73:[2, 32, 9, 9], Operations: [] Exploring Operation: 32+9=41, Resulting Numbers: [2, 41] Generated Node #2: [2, 41] from Operation: 32+9=41 Current State: 73:[2, 41], Operations: ['32+9=41'] Exploring Operation: 2*41=82, Resulting Numbers: [82] 82,73 equal: Goal Reached Exploring Operation: 82-9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 28, 17, 18, 6 ]
13
[ "28-17=11", "18+6=24", "24-11=13" ]
Current State: 13:[28, 17, 18, 6], Operations: [] Exploring Operation: 28-17=11, Resulting Numbers: [18, 6, 11] Generated Node #2: [18, 6, 11] from Operation: 28-17=11 Current State: 13:[18, 6, 11], Operations: ['28-17=11'] Exploring Operation: 18+6=24, Resulting Numbers: [11, 24] Generated Node #3: [11, 24] from Operation: 18+6=24 Current State: 13:[11, 24], Operations: ['28-17=11', '18+6=24'] Exploring Operation: 24-11=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 15, 9, 2, 98 ]
52
[ "15-9=6", "98+6=104", "104/2=52" ]
Current State: 52:[15, 9, 2, 98], Operations: [] Exploring Operation: 15-9=6, Resulting Numbers: [2, 98, 6] Generated Node #2: [2, 98, 6] from Operation: 15-9=6 Current State: 52:[2, 98, 6], Operations: ['15-9=6'] Exploring Operation: 98+6=104, Resulting Numbers: [2, 104] Generated Node #3: [2, 104] from Operation: 98+6=104 Current State: 52:[2, 104], Operations: ['15-9=6', '98+6=104'] Exploring Operation: 104/2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 35, 6, 61, 65 ]
97
[ "35-6=29", "61+65=126", "126-29=97" ]
Current State: 97:[35, 6, 61, 65], Operations: [] Exploring Operation: 35-6=29, Resulting Numbers: [61, 65, 29] Generated Node #2: [61, 65, 29] from Operation: 35-6=29 Current State: 97:[61, 65, 29], Operations: ['35-6=29'] Exploring Operation: 61+65=126, Resulting Numbers: [29, 126] Generated Node #3: [29, 126] from Operation: 61+65=126 Current State: 97:[29, 126], Operations: ['35-6=29', '61+65=126'] Exploring Operation: 126-29=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 28, 63, 5, 34 ]
33
[ "34-28=6", "5*6=30", "63-30=33" ]
Current State: 33:[28, 63, 5, 34], Operations: [] Exploring Operation: 34-28=6, Resulting Numbers: [63, 5, 6] Generated Node #2: [63, 5, 6] from Operation: 34-28=6 Current State: 33:[63, 5, 6], Operations: ['34-28=6'] Exploring Operation: 5*6=30, Resulting Numbers: [63, 30] Generated Node #3: [63, 30] from Operation: 5*6=30 Current State: 33:[63, 30], Operations: ['34-28=6', '5*6=30'] Exploring Operation: 63-30=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 6, 25, 8, 6 ]
21
[ "25-6=19", "8-6=2", "19+2=21" ]
Current State: 21:[6, 25, 8, 6], Operations: [] Exploring Operation: 25-6=19, Resulting Numbers: [8, 19] Generated Node #2: [8, 19] from Operation: 25-6=19 Current State: 21:[8, 19], Operations: ['25-6=19'] Exploring Operation: 8-6=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 8-6=2 Current State: 21:[19, 2], Operations: ['25-6=19', '8-6=2'] Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 75, 31, 23, 58 ]
37
[ "75-31=44", "23+58=81", "81-44=37" ]
Current State: 37:[75, 31, 23, 58], Operations: [] Exploring Operation: 75-31=44, Resulting Numbers: [23, 58, 44] Generated Node #2: [23, 58, 44] from Operation: 75-31=44 Current State: 37:[23, 58, 44], Operations: ['75-31=44'] Exploring Operation: 23+58=81, Resulting Numbers: [44, 81] Generated Node #3: [44, 81] from Operation: 23+58=81 Current State: 37:[44, 81], Operations: ['75-31=44', '23+58=81'] Exploring Operation: 81-44=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 7, 61, 5, 59 ]
14
[ "7+61=68", "59-5=54", "68-54=14" ]
Current State: 14:[7, 61, 5, 59], Operations: [] Exploring Operation: 7+61=68, Resulting Numbers: [5, 59, 68] Generated Node #2: [5, 59, 68] from Operation: 7+61=68 Current State: 14:[5, 59, 68], Operations: ['7+61=68'] Exploring Operation: 59-5=54, Resulting Numbers: [68, 54] Generated Node #3: [68, 54] from Operation: 59-5=54 Current State: 14:[68, 54], Operations: ['7+61=68', '59-5=54'] Exploring Operation: 68-54=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 90, 54, 98, 9 ]
55
[ "90+54=144", "98-9=89", "144-89=55" ]
Current State: 55:[90, 54, 98, 9], Operations: [] Exploring Operation: 90+54=144, Resulting Numbers: [98, 9, 144] Generated Node #2: [98, 9, 144] from Operation: 90+54=144 Current State: 55:[98, 9, 144], Operations: ['90+54=144'] Exploring Operation: 98-9=89, Resulting Numbers: [144, 89] Generated Node #3: [144, 89] from Operation: 98-9=89 Current State: 55:[144, 89], Operations: ['90+54=144', '98-9=89'] Exploring Operation: 144-89=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 3, 6, 55, 26 ]
98
[ "3+55=58", "6*26=156", "156-58=98" ]
Current State: 98:[3, 6, 55, 26], Operations: [] Exploring Operation: 3+55=58, Resulting Numbers: [6, 26, 58] Generated Node #2: [6, 26, 58] from Operation: 3+55=58 Current State: 98:[6, 26, 58], Operations: ['3+55=58'] Exploring Operation: 6*26=156, Resulting Numbers: [58, 156] Generated Node #3: [58, 156] from Operation: 6*26=156 Current State: 98:[58, 156], Operations: ['3+55=58', '6*26=156'] Exploring Operation: 156-58=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 45, 85, 29, 80 ]
53
[ "85*29=2465", "2465-80=2385", "2385/45=53" ]
Current State: 53:[45, 85, 29, 80], Operations: [] Exploring Operation: 85*29=2465, Resulting Numbers: [45, 80, 2465] Generated Node #2: [45, 80, 2465] from Operation: 85*29=2465 Current State: 53:[45, 80, 2465], Operations: ['85*29=2465'] Exploring Operation: 2465-80=2385, Resulting Numbers: [45, 2385] Generated Node #3: [45, 2385] from Operation: 2465-80=2385 Current State: 53:[45, 2385], Operations: ['85*29=2465', '2465-80=2385'] Exploring Operation: 2385/45=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 12, 83, 82, 77 ]
66
[ "83-12=71", "82-77=5", "71-5=66" ]
Current State: 66:[12, 83, 82, 77], Operations: [] Exploring Operation: 83-12=71, Resulting Numbers: [82, 77, 71] Generated Node #2: [82, 77, 71] from Operation: 83-12=71 Current State: 66:[82, 77, 71], Operations: ['83-12=71'] Exploring Operation: 82-77=5, Resulting Numbers: [71, 5] Generated Node #3: [71, 5] from Operation: 82-77=5 Current State: 66:[71, 5], Operations: ['83-12=71', '82-77=5'] Exploring Operation: 71-5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 53, 47, 39, 12 ]
73
[ "53+47=100", "39-12=27", "100-27=73" ]
Current State: 73:[53, 47, 39, 12], Operations: [] Exploring Operation: 53+47=100, Resulting Numbers: [39, 12, 100] Generated Node #2: [39, 12, 100] from Operation: 53+47=100 Current State: 73:[39, 12, 100], Operations: ['53+47=100'] Exploring Operation: 39-12=27, Resulting Numbers: [100, 27] Generated Node #3: [100, 27] from Operation: 39-12=27 Current State: 73:[100, 27], Operations: ['53+47=100', '39-12=27'] Exploring Operation: 100-27=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 78, 21, 54, 37 ]
18
[ "78*21=1638", "54+37=91", "1638/91=18" ]
Current State: 18:[78, 21, 54, 37], Operations: [] Exploring Operation: 78*21=1638, Resulting Numbers: [54, 37, 1638] Generated Node #2: [54, 37, 1638] from Operation: 78*21=1638 Current State: 18:[54, 37, 1638], Operations: ['78*21=1638'] Exploring Operation: 54+37=91, Resulting Numbers: [1638, 91] Generated Node #3: [1638, 91] from Operation: 54+37=91 Current State: 18:[1638, 91], Operations: ['78*21=1638', '54+37=91'] Exploring Operation: 1638/91=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 89, 33, 41, 88 ]
78
[ "41-33=8", "88/8=11", "89-11=78" ]
Current State: 78:[89, 33, 41, 88], Operations: [] Exploring Operation: 41-33=8, Resulting Numbers: [89, 88, 8] Generated Node #2: [89, 88, 8] from Operation: 41-33=8 Current State: 78:[89, 88, 8], Operations: ['41-33=8'] Exploring Operation: 88/8=11, Resulting Numbers: [89, 11] Generated Node #3: [89, 11] from Operation: 88/8=11 Current State: 78:[89, 11], Operations: ['41-33=8', '88/8=11'] Exploring Operation: 89-11=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 57, 9, 8 ]
47
[ "2*9=18", "57+8=65", "65-18=47" ]
Current State: 47:[2, 57, 9, 8], Operations: [] Exploring Operation: 2*9=18, Resulting Numbers: [57, 8, 18] Generated Node #2: [57, 8, 18] from Operation: 2*9=18 Current State: 47:[57, 8, 18], Operations: ['2*9=18'] Exploring Operation: 57+8=65, Resulting Numbers: [18, 65] Generated Node #3: [18, 65] from Operation: 57+8=65 Current State: 47:[18, 65], Operations: ['2*9=18', '57+8=65'] Exploring Operation: 65-18=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 54, 76, 11, 22 ]
44
[ "76-54=22", "22/11=2", "22*2=44" ]
Current State: 44:[54, 76, 11, 22], Operations: [] Exploring Operation: 76-54=22, Resulting Numbers: [11, 22, 22] Generated Node #2: [11, 22, 22] from Operation: 76-54=22 Current State: 44:[11, 22, 22], Operations: ['76-54=22'] Exploring Operation: 22/11=2, Resulting Numbers: [2] 2,44 equal: Goal Reached Exploring Operation: 22*2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 3, 6, 79, 17 ]
10
[ "6+17=23", "3*23=69", "79-69=10" ]
Current State: 10:[3, 6, 79, 17], Operations: [] Exploring Operation: 6+17=23, Resulting Numbers: [3, 79, 23] Generated Node #2: [3, 79, 23] from Operation: 6+17=23 Current State: 10:[3, 79, 23], Operations: ['6+17=23'] Exploring Operation: 3*23=69, Resulting Numbers: [79, 69] Generated Node #3: [79, 69] from Operation: 3*23=69 Current State: 10:[79, 69], Operations: ['6+17=23', '3*23=69'] Exploring Operation: 79-69=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 47, 24, 46, 69 ]
47
[ "24+46=70", "70-69=1", "47*1=47" ]
Current State: 47:[47, 24, 46, 69], Operations: [] Exploring Operation: 24+46=70, Resulting Numbers: [47, 69, 70] Generated Node #2: [47, 69, 70] from Operation: 24+46=70 Current State: 47:[47, 69, 70], Operations: ['24+46=70'] Exploring Operation: 70-69=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 70-69=1 Current State: 47:[47, 1], Operations: ['24+46=70', '70-69=1'] Exploring Operation: 47*1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 62, 16, 73, 2 ]
25
[ "62-16=46", "73-2=71", "71-46=25" ]
Current State: 25:[62, 16, 73, 2], Operations: [] Exploring Operation: 62-16=46, Resulting Numbers: [73, 2, 46] Generated Node #2: [73, 2, 46] from Operation: 62-16=46 Current State: 25:[73, 2, 46], Operations: ['62-16=46'] Exploring Operation: 73-2=71, Resulting Numbers: [46, 71] Generated Node #3: [46, 71] from Operation: 73-2=71 Current State: 25:[46, 71], Operations: ['62-16=46', '73-2=71'] Exploring Operation: 71-46=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 40, 1, 35, 79 ]
70
[ "1+79=80", "80/40=2", "35*2=70" ]
Current State: 70:[40, 1, 35, 79], Operations: [] Exploring Operation: 1+79=80, Resulting Numbers: [40, 35, 80] Generated Node #2: [40, 35, 80] from Operation: 1+79=80 Current State: 70:[40, 35, 80], Operations: ['1+79=80'] Exploring Operation: 80/40=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 80/40=2 Current State: 70:[35, 2], Operations: ['1+79=80', '80/40=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 86, 82, 21, 7 ]
18
[ "86-82=4", "21-7=14", "4+14=18" ]
Current State: 18:[86, 82, 21, 7], Operations: [] Exploring Operation: 86-82=4, Resulting Numbers: [21, 7, 4] Generated Node #2: [21, 7, 4] from Operation: 86-82=4 Current State: 18:[21, 7, 4], Operations: ['86-82=4'] Exploring Operation: 21-7=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 21-7=14 Current State: 18:[4, 14], Operations: ['86-82=4', '21-7=14'] Exploring Operation: 4+14=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4