nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 66, 82, 31, 60 ]
28
[ "82-60=22", "66/22=3", "31-3=28" ]
Current State: 28:[66, 82, 31, 60], Operations: [] Exploring Operation: 82-60=22, Resulting Numbers: [66, 31, 22] Generated Node #2: [66, 31, 22] from Operation: 82-60=22 Current State: 28:[66, 31, 22], Operations: ['82-60=22'] Exploring Operation: 66/22=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 66/22=3 Current State: 28:[31, 3], Operations: ['82-60=22', '66/22=3'] Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 4, 23, 83, 33 ]
43
[ "33-23=10", "4*10=40", "83-40=43" ]
Current State: 43:[4, 23, 83, 33], Operations: [] Exploring Operation: 33-23=10, Resulting Numbers: [4, 83, 10] Generated Node #2: [4, 83, 10] from Operation: 33-23=10 Current State: 43:[4, 83, 10], Operations: ['33-23=10'] Exploring Operation: 4*10=40, Resulting Numbers: [83, 40] Generated Node #3: [83, 40] from Operation: 4*10=40 Current State: 43:[83, 40], Operations: ['33-23=10', '4*10=40'] Exploring Operation: 83-40=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 59, 33, 67, 89 ]
64
[ "59+33=92", "67+89=156", "156-92=64" ]
Current State: 64:[59, 33, 67, 89], Operations: [] Exploring Operation: 59+33=92, Resulting Numbers: [67, 89, 92] Generated Node #2: [67, 89, 92] from Operation: 59+33=92 Current State: 64:[67, 89, 92], Operations: ['59+33=92'] Exploring Operation: 67+89=156, Resulting Numbers: [92, 156] Generated Node #3: [92, 156] from Operation: 67+89=156 Current State: 64:[92, 156], Operations: ['59+33=92', '67+89=156'] Exploring Operation: 156-92=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 58, 39, 20, 62 ]
64
[ "58+20=78", "78/39=2", "62+2=64" ]
Current State: 64:[58, 39, 20, 62], Operations: [] Exploring Operation: 58+20=78, Resulting Numbers: [39, 62, 78] Generated Node #2: [39, 62, 78] from Operation: 58+20=78 Current State: 64:[39, 62, 78], Operations: ['58+20=78'] Exploring Operation: 78/39=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 78/39=2 Current State: 64:[62, 2], Operations: ['58+20=78', '78/39=2'] Exploring Operation: 62+2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 56, 87, 47, 55 ]
80
[ "55-47=8", "56/8=7", "87-7=80" ]
Current State: 80:[56, 87, 47, 55], Operations: [] Exploring Operation: 55-47=8, Resulting Numbers: [56, 87, 8] Generated Node #2: [56, 87, 8] from Operation: 55-47=8 Current State: 80:[56, 87, 8], Operations: ['55-47=8'] Exploring Operation: 56/8=7, Resulting Numbers: [87, 7] Generated Node #3: [87, 7] from Operation: 56/8=7 Current State: 80:[87, 7], Operations: ['55-47=8', '56/8=7'] Exploring Operation: 87-7=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 84, 25, 40, 88 ]
50
[ "84-40=44", "25*88=2200", "2200/44=50" ]
Current State: 50:[84, 25, 40, 88], Operations: [] Exploring Operation: 84-40=44, Resulting Numbers: [25, 88, 44] Generated Node #2: [25, 88, 44] from Operation: 84-40=44 Current State: 50:[25, 88, 44], Operations: ['84-40=44'] Exploring Operation: 25*88=2200, Resulting Numbers: [44, 2200] Generated Node #3: [44, 2200] from Operation: 25*88=2200 Current State: 50:[44, 2200], Operations: ['84-40=44', '25*88=2200'] Exploring Operation: 2200/44=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 39, 64, 81, 42 ]
20
[ "39+64=103", "81+42=123", "123-103=20" ]
Current State: 20:[39, 64, 81, 42], Operations: [] Exploring Operation: 39+64=103, Resulting Numbers: [81, 42, 103] Generated Node #2: [81, 42, 103] from Operation: 39+64=103 Current State: 20:[81, 42, 103], Operations: ['39+64=103'] Exploring Operation: 81+42=123, Resulting Numbers: [103, 123] Generated Node #3: [103, 123] from Operation: 81+42=123 Current State: 20:[103, 123], Operations: ['39+64=103', '81+42=123'] Exploring Operation: 123-103=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 6, 35, 72, 5 ]
37
[ "6-5=1", "72-35=37", "1*37=37" ]
Current State: 37:[6, 35, 72, 5], Operations: [] Exploring Operation: 6-5=1, Resulting Numbers: [35, 72, 1] Generated Node #2: [35, 72, 1] from Operation: 6-5=1 Current State: 37:[35, 72, 1], Operations: ['6-5=1'] Exploring Operation: 72-35=37, Resulting Numbers: [1, 37] Generated Node #3: [1, 37] from Operation: 72-35=37 Current State: 37:[1, 37], Operations: ['6-5=1', '72-35=37'] Exploring Operation: 1*37=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 96, 99, 83, 81 ]
93
[ "83-81=2", "96*2=192", "192-99=93" ]
Current State: 93:[96, 99, 83, 81], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [96, 99, 2] Generated Node #2: [96, 99, 2] from Operation: 83-81=2 Current State: 93:[96, 99, 2], Operations: ['83-81=2'] Exploring Operation: 96*2=192, Resulting Numbers: [99, 192] Generated Node #3: [99, 192] from Operation: 96*2=192 Current State: 93:[99, 192], Operations: ['83-81=2', '96*2=192'] Exploring Operation: 192-99=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 62, 5, 72, 24 ]
13
[ "72/24=3", "62+3=65", "65/5=13" ]
Current State: 13:[62, 5, 72, 24], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [62, 5, 3] Generated Node #2: [62, 5, 3] from Operation: 72/24=3 Current State: 13:[62, 5, 3], Operations: ['72/24=3'] Exploring Operation: 62+3=65, Resulting Numbers: [5, 65] Generated Node #3: [5, 65] from Operation: 62+3=65 Current State: 13:[5, 65], Operations: ['72/24=3', '62+3=65'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 34, 27, 98, 36 ]
44
[ "36-34=2", "27*2=54", "98-54=44" ]
Current State: 44:[34, 27, 98, 36], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [27, 98, 2] Generated Node #2: [27, 98, 2] from Operation: 36-34=2 Current State: 44:[27, 98, 2], Operations: ['36-34=2'] Exploring Operation: 27*2=54, Resulting Numbers: [98, 54] Generated Node #3: [98, 54] from Operation: 27*2=54 Current State: 44:[98, 54], Operations: ['36-34=2', '27*2=54'] Exploring Operation: 98-54=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 32, 90, 94, 18 ]
18
[ "90-32=58", "94-18=76", "76-58=18" ]
Current State: 18:[32, 90, 94, 18], Operations: [] Exploring Operation: 90-32=58, Resulting Numbers: [94, 18, 58] Generated Node #2: [94, 18, 58] from Operation: 90-32=58 Current State: 18:[94, 18, 58], Operations: ['90-32=58'] Exploring Operation: 94-18=76, Resulting Numbers: [58, 76] Generated Node #3: [58, 76] from Operation: 94-18=76 Current State: 18:[58, 76], Operations: ['90-32=58', '94-18=76'] Exploring Operation: 76-58=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 18, 3, 82, 75 ]
28
[ "18+3=21", "82-75=7", "21+7=28" ]
Current State: 28:[18, 3, 82, 75], Operations: [] Exploring Operation: 18+3=21, Resulting Numbers: [82, 75, 21] Generated Node #2: [82, 75, 21] from Operation: 18+3=21 Current State: 28:[82, 75, 21], Operations: ['18+3=21'] Exploring Operation: 82-75=7, Resulting Numbers: [21, 7] Generated Node #3: [21, 7] from Operation: 82-75=7 Current State: 28:[21, 7], Operations: ['18+3=21', '82-75=7'] Exploring Operation: 21+7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 72, 50, 82, 18 ]
23
[ "82-72=10", "50/10=5", "18+5=23" ]
Current State: 23:[72, 50, 82, 18], Operations: [] Exploring Operation: 82-72=10, Resulting Numbers: [50, 18, 10] Generated Node #2: [50, 18, 10] from Operation: 82-72=10 Current State: 23:[50, 18, 10], Operations: ['82-72=10'] Exploring Operation: 50/10=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 50/10=5 Current State: 23:[18, 5], Operations: ['82-72=10', '50/10=5'] Exploring Operation: 18+5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 23, 77, 79, 45 ]
91
[ "79-77=2", "23*2=46", "45+46=91" ]
Current State: 91:[23, 77, 79, 45], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [23, 45, 2] Generated Node #2: [23, 45, 2] from Operation: 79-77=2 Current State: 91:[23, 45, 2], Operations: ['79-77=2'] Exploring Operation: 23*2=46, Resulting Numbers: [45, 46] Generated Node #3: [45, 46] from Operation: 23*2=46 Current State: 91:[45, 46], Operations: ['79-77=2', '23*2=46'] Exploring Operation: 45+46=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 66, 57, 29, 12 ]
87
[ "66-57=9", "12-9=3", "29*3=87" ]
Current State: 87:[66, 57, 29, 12], Operations: [] Exploring Operation: 66-57=9, Resulting Numbers: [29, 12, 9] Generated Node #2: [29, 12, 9] from Operation: 66-57=9 Current State: 87:[29, 12, 9], Operations: ['66-57=9'] Exploring Operation: 12-9=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 12-9=3 Current State: 87:[29, 3], Operations: ['66-57=9', '12-9=3'] Exploring Operation: 29*3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 69, 73, 57, 74 ]
12
[ "69-57=12", "74-73=1", "12*1=12" ]
Current State: 12:[69, 73, 57, 74], Operations: [] Exploring Operation: 69-57=12, Resulting Numbers: [73, 74, 12] Generated Node #2: [73, 74, 12] from Operation: 69-57=12 Current State: 12:[73, 74, 12], Operations: ['69-57=12'] Exploring Operation: 74-73=1, Resulting Numbers: [12, 1] Generated Node #3: [12, 1] from Operation: 74-73=1 Current State: 12:[12, 1], Operations: ['69-57=12', '74-73=1'] Exploring Operation: 12*1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 68, 24, 73, 43 ]
72
[ "68-24=44", "73+43=116", "116-44=72" ]
Current State: 72:[68, 24, 73, 43], Operations: [] Exploring Operation: 68-24=44, Resulting Numbers: [73, 43, 44] Generated Node #2: [73, 43, 44] from Operation: 68-24=44 Current State: 72:[73, 43, 44], Operations: ['68-24=44'] Exploring Operation: 73+43=116, Resulting Numbers: [44, 116] Generated Node #3: [44, 116] from Operation: 73+43=116 Current State: 72:[44, 116], Operations: ['68-24=44', '73+43=116'] Exploring Operation: 116-44=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 51, 99, 33, 10 ]
58
[ "51+10=61", "99/33=3", "61-3=58" ]
Current State: 58:[51, 99, 33, 10], Operations: [] Exploring Operation: 51+10=61, Resulting Numbers: [99, 33, 61] Generated Node #2: [99, 33, 61] from Operation: 51+10=61 Current State: 58:[99, 33, 61], Operations: ['51+10=61'] Exploring Operation: 99/33=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 99/33=3 Current State: 58:[61, 3], Operations: ['51+10=61', '99/33=3'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 27, 7, 48, 23 ]
91
[ "27-7=20", "48+23=71", "20+71=91" ]
Current State: 91:[27, 7, 48, 23], Operations: [] Exploring Operation: 27-7=20, Resulting Numbers: [48, 23, 20] Generated Node #2: [48, 23, 20] from Operation: 27-7=20 Current State: 91:[48, 23, 20], Operations: ['27-7=20'] Exploring Operation: 48+23=71, Resulting Numbers: [20, 71] Generated Node #3: [20, 71] from Operation: 48+23=71 Current State: 91:[20, 71], Operations: ['27-7=20', '48+23=71'] Exploring Operation: 20+71=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 41, 3, 32, 42 ]
93
[ "41+32=73", "73-42=31", "3*31=93" ]
Current State: 93:[41, 3, 32, 42], Operations: [] Exploring Operation: 41+32=73, Resulting Numbers: [3, 42, 73] Generated Node #2: [3, 42, 73] from Operation: 41+32=73 Current State: 93:[3, 42, 73], Operations: ['41+32=73'] Exploring Operation: 73-42=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 73-42=31 Current State: 93:[3, 31], Operations: ['41+32=73', '73-42=31'] Exploring Operation: 3*31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 59, 27, 43, 49 ]
26
[ "59-27=32", "49-43=6", "32-6=26" ]
Current State: 26:[59, 27, 43, 49], Operations: [] Exploring Operation: 59-27=32, Resulting Numbers: [43, 49, 32] Generated Node #2: [43, 49, 32] from Operation: 59-27=32 Current State: 26:[43, 49, 32], Operations: ['59-27=32'] Exploring Operation: 49-43=6, Resulting Numbers: [32, 6] Generated Node #3: [32, 6] from Operation: 49-43=6 Current State: 26:[32, 6], Operations: ['59-27=32', '49-43=6'] Exploring Operation: 32-6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 22, 37, 17, 74 ]
27
[ "22*74=1628", "1628/37=44", "44-17=27" ]
Current State: 27:[22, 37, 17, 74], Operations: [] Exploring Operation: 22*74=1628, Resulting Numbers: [37, 17, 1628] Generated Node #2: [37, 17, 1628] from Operation: 22*74=1628 Current State: 27:[37, 17, 1628], Operations: ['22*74=1628'] Exploring Operation: 1628/37=44, Resulting Numbers: [17, 44] Generated Node #3: [17, 44] from Operation: 1628/37=44 Current State: 27:[17, 44], Operations: ['22*74=1628', '1628/37=44'] Exploring Operation: 44-17=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 32, 80, 87, 89 ]
64
[ "32+80=112", "87+89=176", "176-112=64" ]
Current State: 64:[32, 80, 87, 89], Operations: [] Exploring Operation: 32+80=112, Resulting Numbers: [87, 89, 112] Generated Node #2: [87, 89, 112] from Operation: 32+80=112 Current State: 64:[87, 89, 112], Operations: ['32+80=112'] Exploring Operation: 87+89=176, Resulting Numbers: [112, 176] Generated Node #3: [112, 176] from Operation: 87+89=176 Current State: 64:[112, 176], Operations: ['32+80=112', '87+89=176'] Exploring Operation: 176-112=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 84, 28, 38, 20 ]
42
[ "38-28=10", "84*10=840", "840/20=42" ]
Current State: 42:[84, 28, 38, 20], Operations: [] Exploring Operation: 38-28=10, Resulting Numbers: [84, 20, 10] Generated Node #2: [84, 20, 10] from Operation: 38-28=10 Current State: 42:[84, 20, 10], Operations: ['38-28=10'] Exploring Operation: 84*10=840, Resulting Numbers: [20, 840] Generated Node #3: [20, 840] from Operation: 84*10=840 Current State: 42:[20, 840], Operations: ['38-28=10', '84*10=840'] Exploring Operation: 840/20=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 15, 66, 89 ]
64
[ "66-15=51", "3*51=153", "153-89=64" ]
Current State: 64:[3, 15, 66, 89], Operations: [] Exploring Operation: 66-15=51, Resulting Numbers: [3, 89, 51] Generated Node #2: [3, 89, 51] from Operation: 66-15=51 Current State: 64:[3, 89, 51], Operations: ['66-15=51'] Exploring Operation: 3*51=153, Resulting Numbers: [89, 153] Generated Node #3: [89, 153] from Operation: 3*51=153 Current State: 64:[89, 153], Operations: ['66-15=51', '3*51=153'] Exploring Operation: 153-89=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 36, 4, 78, 41 ]
25
[ "36*4=144", "78+41=119", "144-119=25" ]
Current State: 25:[36, 4, 78, 41], Operations: [] Exploring Operation: 36*4=144, Resulting Numbers: [78, 41, 144] Generated Node #2: [78, 41, 144] from Operation: 36*4=144 Current State: 25:[78, 41, 144], Operations: ['36*4=144'] Exploring Operation: 78+41=119, Resulting Numbers: [144, 119] Generated Node #3: [144, 119] from Operation: 78+41=119 Current State: 25:[144, 119], Operations: ['36*4=144', '78+41=119'] Exploring Operation: 144-119=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 77, 98, 56, 25 ]
94
[ "77+98=175", "56+25=81", "175-81=94" ]
Current State: 94:[77, 98, 56, 25], Operations: [] Exploring Operation: 77+98=175, Resulting Numbers: [56, 25, 175] Generated Node #2: [56, 25, 175] from Operation: 77+98=175 Current State: 94:[56, 25, 175], Operations: ['77+98=175'] Exploring Operation: 56+25=81, Resulting Numbers: [175, 81] Generated Node #3: [175, 81] from Operation: 56+25=81 Current State: 94:[175, 81], Operations: ['77+98=175', '56+25=81'] Exploring Operation: 175-81=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 5, 49, 8, 7 ]
43
[ "5*49=245", "245/7=35", "8+35=43" ]
Current State: 43:[5, 49, 8, 7], Operations: [] Exploring Operation: 5*49=245, Resulting Numbers: [8, 7, 245] Generated Node #2: [8, 7, 245] from Operation: 5*49=245 Current State: 43:[8, 7, 245], Operations: ['5*49=245'] Exploring Operation: 245/7=35, Resulting Numbers: [8, 35] Generated Node #3: [8, 35] from Operation: 245/7=35 Current State: 43:[8, 35], Operations: ['5*49=245', '245/7=35'] Exploring Operation: 8+35=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 74, 5, 64, 97 ]
95
[ "74-64=10", "10/5=2", "97-2=95" ]
Current State: 95:[74, 5, 64, 97], Operations: [] Exploring Operation: 74-64=10, Resulting Numbers: [5, 97, 10] Generated Node #2: [5, 97, 10] from Operation: 74-64=10 Current State: 95:[5, 97, 10], Operations: ['74-64=10'] Exploring Operation: 10/5=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 10/5=2 Current State: 95:[97, 2], Operations: ['74-64=10', '10/5=2'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 91, 84, 21, 68 ]
74
[ "84/21=4", "68/4=17", "91-17=74" ]
Current State: 74:[91, 84, 21, 68], Operations: [] Exploring Operation: 84/21=4, Resulting Numbers: [91, 68, 4] Generated Node #2: [91, 68, 4] from Operation: 84/21=4 Current State: 74:[91, 68, 4], Operations: ['84/21=4'] Exploring Operation: 68/4=17, Resulting Numbers: [91, 17] Generated Node #3: [91, 17] from Operation: 68/4=17 Current State: 74:[91, 17], Operations: ['84/21=4', '68/4=17'] Exploring Operation: 91-17=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 84, 94, 63, 39 ]
92
[ "94-84=10", "63+39=102", "102-10=92" ]
Current State: 92:[84, 94, 63, 39], Operations: [] Exploring Operation: 94-84=10, Resulting Numbers: [63, 39, 10] Generated Node #2: [63, 39, 10] from Operation: 94-84=10 Current State: 92:[63, 39, 10], Operations: ['94-84=10'] Exploring Operation: 63+39=102, Resulting Numbers: [10, 102] Generated Node #3: [10, 102] from Operation: 63+39=102 Current State: 92:[10, 102], Operations: ['94-84=10', '63+39=102'] Exploring Operation: 102-10=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 65, 40, 6, 53 ]
13
[ "65-40=25", "53+25=78", "78/6=13" ]
Current State: 13:[65, 40, 6, 53], Operations: [] Exploring Operation: 65-40=25, Resulting Numbers: [6, 53, 25] Generated Node #2: [6, 53, 25] from Operation: 65-40=25 Current State: 13:[6, 53, 25], Operations: ['65-40=25'] Exploring Operation: 53+25=78, Resulting Numbers: [6, 78] Generated Node #3: [6, 78] from Operation: 53+25=78 Current State: 13:[6, 78], Operations: ['65-40=25', '53+25=78'] Exploring Operation: 78/6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 61, 54, 24, 95 ]
13
[ "54*24=1296", "1296-61=1235", "1235/95=13" ]
Current State: 13:[61, 54, 24, 95], Operations: [] Exploring Operation: 54*24=1296, Resulting Numbers: [61, 95, 1296] Generated Node #2: [61, 95, 1296] from Operation: 54*24=1296 Current State: 13:[61, 95, 1296], Operations: ['54*24=1296'] Exploring Operation: 1296-61=1235, Resulting Numbers: [95, 1235] Generated Node #3: [95, 1235] from Operation: 1296-61=1235 Current State: 13:[95, 1235], Operations: ['54*24=1296', '1296-61=1235'] Exploring Operation: 1235/95=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 99, 59, 2, 88 ]
96
[ "99-59=40", "88-40=48", "2*48=96" ]
Current State: 96:[99, 59, 2, 88], Operations: [] Exploring Operation: 99-59=40, Resulting Numbers: [2, 88, 40] Generated Node #2: [2, 88, 40] from Operation: 99-59=40 Current State: 96:[2, 88, 40], Operations: ['99-59=40'] Exploring Operation: 88-40=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 88-40=48 Current State: 96:[2, 48], Operations: ['99-59=40', '88-40=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 60, 28, 17, 64 ]
40
[ "64-60=4", "17*4=68", "68-28=40" ]
Current State: 40:[60, 28, 17, 64], Operations: [] Exploring Operation: 64-60=4, Resulting Numbers: [28, 17, 4] Generated Node #2: [28, 17, 4] from Operation: 64-60=4 Current State: 40:[28, 17, 4], Operations: ['64-60=4'] Exploring Operation: 17*4=68, Resulting Numbers: [28, 68] Generated Node #3: [28, 68] from Operation: 17*4=68 Current State: 40:[28, 68], Operations: ['64-60=4', '17*4=68'] Exploring Operation: 68-28=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 11, 4, 85, 43 ]
93
[ "43-11=32", "32/4=8", "85+8=93" ]
Current State: 93:[11, 4, 85, 43], Operations: [] Exploring Operation: 43-11=32, Resulting Numbers: [4, 85, 32] Generated Node #2: [4, 85, 32] from Operation: 43-11=32 Current State: 93:[4, 85, 32], Operations: ['43-11=32'] Exploring Operation: 32/4=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 32/4=8 Current State: 93:[85, 8], Operations: ['43-11=32', '32/4=8'] Exploring Operation: 85+8=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 26, 2, 4, 58 ]
20
[ "58-26=32", "32/2=16", "4+16=20" ]
Current State: 20:[26, 2, 4, 58], Operations: [] Exploring Operation: 58-26=32, Resulting Numbers: [2, 4, 32] Generated Node #2: [2, 4, 32] from Operation: 58-26=32 Current State: 20:[2, 4, 32], Operations: ['58-26=32'] Exploring Operation: 32/2=16, Resulting Numbers: [4, 16] Generated Node #3: [4, 16] from Operation: 32/2=16 Current State: 20:[4, 16], Operations: ['58-26=32', '32/2=16'] Exploring Operation: 4+16=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 24, 70, 66, 42 ]
72
[ "42-24=18", "70-66=4", "18*4=72" ]
Current State: 72:[24, 70, 66, 42], Operations: [] Exploring Operation: 42-24=18, Resulting Numbers: [70, 66, 18] Generated Node #2: [70, 66, 18] from Operation: 42-24=18 Current State: 72:[70, 66, 18], Operations: ['42-24=18'] Exploring Operation: 70-66=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 70-66=4 Current State: 72:[18, 4], Operations: ['42-24=18', '70-66=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 24, 71, 85, 39 ]
49
[ "24+71=95", "85-39=46", "95-46=49" ]
Current State: 49:[24, 71, 85, 39], Operations: [] Exploring Operation: 24+71=95, Resulting Numbers: [85, 39, 95] Generated Node #2: [85, 39, 95] from Operation: 24+71=95 Current State: 49:[85, 39, 95], Operations: ['24+71=95'] Exploring Operation: 85-39=46, Resulting Numbers: [95, 46] Generated Node #3: [95, 46] from Operation: 85-39=46 Current State: 49:[95, 46], Operations: ['24+71=95', '85-39=46'] Exploring Operation: 95-46=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 2, 29, 71, 49 ]
64
[ "2*71=142", "29+49=78", "142-78=64" ]
Current State: 64:[2, 29, 71, 49], Operations: [] Exploring Operation: 2*71=142, Resulting Numbers: [29, 49, 142] Generated Node #2: [29, 49, 142] from Operation: 2*71=142 Current State: 64:[29, 49, 142], Operations: ['2*71=142'] Exploring Operation: 29+49=78, Resulting Numbers: [142, 78] Generated Node #3: [142, 78] from Operation: 29+49=78 Current State: 64:[142, 78], Operations: ['2*71=142', '29+49=78'] Exploring Operation: 142-78=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 21, 68, 48, 50 ]
56
[ "21*48=1008", "68-50=18", "1008/18=56" ]
Current State: 56:[21, 68, 48, 50], Operations: [] Exploring Operation: 21*48=1008, Resulting Numbers: [68, 50, 1008] Generated Node #2: [68, 50, 1008] from Operation: 21*48=1008 Current State: 56:[68, 50, 1008], Operations: ['21*48=1008'] Exploring Operation: 68-50=18, Resulting Numbers: [1008, 18] Generated Node #3: [1008, 18] from Operation: 68-50=18 Current State: 56:[1008, 18], Operations: ['21*48=1008', '68-50=18'] Exploring Operation: 1008/18=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 71, 18, 49, 60 ]
42
[ "71-18=53", "60-49=11", "53-11=42" ]
Current State: 42:[71, 18, 49, 60], Operations: [] Exploring Operation: 71-18=53, Resulting Numbers: [49, 60, 53] Generated Node #2: [49, 60, 53] from Operation: 71-18=53 Current State: 42:[49, 60, 53], Operations: ['71-18=53'] Exploring Operation: 60-49=11, Resulting Numbers: [53, 11] Generated Node #3: [53, 11] from Operation: 60-49=11 Current State: 42:[53, 11], Operations: ['71-18=53', '60-49=11'] Exploring Operation: 53-11=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 43, 54, 41, 72 ]
66
[ "43+54=97", "72-41=31", "97-31=66" ]
Current State: 66:[43, 54, 41, 72], Operations: [] Exploring Operation: 43+54=97, Resulting Numbers: [41, 72, 97] Generated Node #2: [41, 72, 97] from Operation: 43+54=97 Current State: 66:[41, 72, 97], Operations: ['43+54=97'] Exploring Operation: 72-41=31, Resulting Numbers: [97, 31] Generated Node #3: [97, 31] from Operation: 72-41=31 Current State: 66:[97, 31], Operations: ['43+54=97', '72-41=31'] Exploring Operation: 97-31=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 52, 20, 62, 34 ]
24
[ "52+20=72", "62+34=96", "96-72=24" ]
Current State: 24:[52, 20, 62, 34], Operations: [] Exploring Operation: 52+20=72, Resulting Numbers: [62, 34, 72] Generated Node #2: [62, 34, 72] from Operation: 52+20=72 Current State: 24:[62, 34, 72], Operations: ['52+20=72'] Exploring Operation: 62+34=96, Resulting Numbers: [72, 96] Generated Node #3: [72, 96] from Operation: 62+34=96 Current State: 24:[72, 96], Operations: ['52+20=72', '62+34=96'] Exploring Operation: 96-72=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 5, 45, 71, 34 ]
96
[ "45/5=9", "71+34=105", "105-9=96" ]
Current State: 96:[5, 45, 71, 34], Operations: [] Exploring Operation: 45/5=9, Resulting Numbers: [71, 34, 9] Generated Node #2: [71, 34, 9] from Operation: 45/5=9 Current State: 96:[71, 34, 9], Operations: ['45/5=9'] Exploring Operation: 71+34=105, Resulting Numbers: [9, 105] Generated Node #3: [9, 105] from Operation: 71+34=105 Current State: 96:[9, 105], Operations: ['45/5=9', '71+34=105'] Exploring Operation: 105-9=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 30, 66, 90, 88 ]
51
[ "90-88=2", "30/2=15", "66-15=51" ]
Current State: 51:[30, 66, 90, 88], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [30, 66, 2] Generated Node #2: [30, 66, 2] from Operation: 90-88=2 Current State: 51:[30, 66, 2], Operations: ['90-88=2'] Exploring Operation: 30/2=15, Resulting Numbers: [66, 15] Generated Node #3: [66, 15] from Operation: 30/2=15 Current State: 51:[66, 15], Operations: ['90-88=2', '30/2=15'] Exploring Operation: 66-15=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 59, 23, 67, 85 ]
64
[ "59+23=82", "85-67=18", "82-18=64" ]
Current State: 64:[59, 23, 67, 85], Operations: [] Exploring Operation: 59+23=82, Resulting Numbers: [67, 85, 82] Generated Node #2: [67, 85, 82] from Operation: 59+23=82 Current State: 64:[67, 85, 82], Operations: ['59+23=82'] Exploring Operation: 85-67=18, Resulting Numbers: [82, 18] Generated Node #3: [82, 18] from Operation: 85-67=18 Current State: 64:[82, 18], Operations: ['59+23=82', '85-67=18'] Exploring Operation: 82-18=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 41, 4, 31, 36 ]
72
[ "41+31=72", "4*36=144", "144-72=72" ]
Current State: 72:[41, 4, 31, 36], Operations: [] Exploring Operation: 41+31=72, Resulting Numbers: [4, 36, 72] Generated Node #2: [4, 36, 72] from Operation: 41+31=72 Current State: 72:[4, 36, 72], Operations: ['41+31=72'] Exploring Operation: 4*36=144, Resulting Numbers: [72, 144] Generated Node #3: [72, 144] from Operation: 4*36=144 Current State: 72:[72, 144], Operations: ['41+31=72', '4*36=144'] Exploring Operation: 144-72=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 58, 31, 41, 39 ]
53
[ "58-31=27", "41+39=80", "80-27=53" ]
Current State: 53:[58, 31, 41, 39], Operations: [] Exploring Operation: 58-31=27, Resulting Numbers: [41, 39, 27] Generated Node #2: [41, 39, 27] from Operation: 58-31=27 Current State: 53:[41, 39, 27], Operations: ['58-31=27'] Exploring Operation: 41+39=80, Resulting Numbers: [27, 80] Generated Node #3: [27, 80] from Operation: 41+39=80 Current State: 53:[27, 80], Operations: ['58-31=27', '41+39=80'] Exploring Operation: 80-27=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 63, 4, 9, 97 ]
49
[ "63+97=160", "160/4=40", "9+40=49" ]
Current State: 49:[63, 4, 9, 97], Operations: [] Exploring Operation: 63+97=160, Resulting Numbers: [4, 9, 160] Generated Node #2: [4, 9, 160] from Operation: 63+97=160 Current State: 49:[4, 9, 160], Operations: ['63+97=160'] Exploring Operation: 160/4=40, Resulting Numbers: [9, 40] Generated Node #3: [9, 40] from Operation: 160/4=40 Current State: 49:[9, 40], Operations: ['63+97=160', '160/4=40'] Exploring Operation: 9+40=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 55, 6, 62, 57 ]
28
[ "57-55=2", "62-6=56", "56/2=28" ]
Current State: 28:[55, 6, 62, 57], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [6, 62, 2] Generated Node #2: [6, 62, 2] from Operation: 57-55=2 Current State: 28:[6, 62, 2], Operations: ['57-55=2'] Exploring Operation: 62-6=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 62-6=56 Current State: 28:[2, 56], Operations: ['57-55=2', '62-6=56'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 86, 81, 95, 55 ]
84
[ "86-81=5", "55/5=11", "95-11=84" ]
Current State: 84:[86, 81, 95, 55], Operations: [] Exploring Operation: 86-81=5, Resulting Numbers: [95, 55, 5] Generated Node #2: [95, 55, 5] from Operation: 86-81=5 Current State: 84:[95, 55, 5], Operations: ['86-81=5'] Exploring Operation: 55/5=11, Resulting Numbers: [95, 11] Generated Node #3: [95, 11] from Operation: 55/5=11 Current State: 84:[95, 11], Operations: ['86-81=5', '55/5=11'] Exploring Operation: 95-11=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 5, 51, 15, 95 ]
58
[ "15/5=3", "51*3=153", "153-95=58" ]
Current State: 58:[5, 51, 15, 95], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [51, 95, 3] Generated Node #2: [51, 95, 3] from Operation: 15/5=3 Current State: 58:[51, 95, 3], Operations: ['15/5=3'] Exploring Operation: 51*3=153, Resulting Numbers: [95, 153] Generated Node #3: [95, 153] from Operation: 51*3=153 Current State: 58:[95, 153], Operations: ['15/5=3', '51*3=153'] Exploring Operation: 153-95=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 87, 3, 65, 6 ]
51
[ "87-3=84", "84/6=14", "65-14=51" ]
Current State: 51:[87, 3, 65, 6], Operations: [] Exploring Operation: 87-3=84, Resulting Numbers: [65, 6, 84] Generated Node #2: [65, 6, 84] from Operation: 87-3=84 Current State: 51:[65, 6, 84], Operations: ['87-3=84'] Exploring Operation: 84/6=14, Resulting Numbers: [65, 14] Generated Node #3: [65, 14] from Operation: 84/6=14 Current State: 51:[65, 14], Operations: ['87-3=84', '84/6=14'] Exploring Operation: 65-14=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 55, 16, 98, 96 ]
73
[ "55+16=71", "98-96=2", "71+2=73" ]
Current State: 73:[55, 16, 98, 96], Operations: [] Exploring Operation: 55+16=71, Resulting Numbers: [98, 96, 71] Generated Node #2: [98, 96, 71] from Operation: 55+16=71 Current State: 73:[98, 96, 71], Operations: ['55+16=71'] Exploring Operation: 98-96=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 98-96=2 Current State: 73:[71, 2], Operations: ['55+16=71', '98-96=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 10, 13, 67, 10 ]
18
[ "13+67=80", "80/10=8", "10+8=18" ]
Current State: 18:[10, 13, 67, 10], Operations: [] Exploring Operation: 13+67=80, Resulting Numbers: [10, 10, 80] Generated Node #2: [10, 10, 80] from Operation: 13+67=80 Current State: 18:[10, 10, 80], Operations: ['13+67=80'] Exploring Operation: 80/10=8, Resulting Numbers: [8] 8,18 equal: Goal Reached Exploring Operation: 10+8=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 17, 4, 6, 45 ]
14
[ "17-6=11", "45+11=56", "56/4=14" ]
Current State: 14:[17, 4, 6, 45], Operations: [] Exploring Operation: 17-6=11, Resulting Numbers: [4, 45, 11] Generated Node #2: [4, 45, 11] from Operation: 17-6=11 Current State: 14:[4, 45, 11], Operations: ['17-6=11'] Exploring Operation: 45+11=56, Resulting Numbers: [4, 56] Generated Node #3: [4, 56] from Operation: 45+11=56 Current State: 14:[4, 56], Operations: ['17-6=11', '45+11=56'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 84, 3, 2, 19 ]
98
[ "84-3=81", "19-2=17", "81+17=98" ]
Current State: 98:[84, 3, 2, 19], Operations: [] Exploring Operation: 84-3=81, Resulting Numbers: [2, 19, 81] Generated Node #2: [2, 19, 81] from Operation: 84-3=81 Current State: 98:[2, 19, 81], Operations: ['84-3=81'] Exploring Operation: 19-2=17, Resulting Numbers: [81, 17] Generated Node #3: [81, 17] from Operation: 19-2=17 Current State: 98:[81, 17], Operations: ['84-3=81', '19-2=17'] Exploring Operation: 81+17=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 53, 35, 89, 44 ]
87
[ "53+35=88", "88/44=2", "89-2=87" ]
Current State: 87:[53, 35, 89, 44], Operations: [] Exploring Operation: 53+35=88, Resulting Numbers: [89, 44, 88] Generated Node #2: [89, 44, 88] from Operation: 53+35=88 Current State: 87:[89, 44, 88], Operations: ['53+35=88'] Exploring Operation: 88/44=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 88/44=2 Current State: 87:[89, 2], Operations: ['53+35=88', '88/44=2'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 6, 3, 2, 78 ]
67
[ "6+3=9", "78-2=76", "76-9=67" ]
Current State: 67:[6, 3, 2, 78], Operations: [] Exploring Operation: 6+3=9, Resulting Numbers: [2, 78, 9] Generated Node #2: [2, 78, 9] from Operation: 6+3=9 Current State: 67:[2, 78, 9], Operations: ['6+3=9'] Exploring Operation: 78-2=76, Resulting Numbers: [9, 76] Generated Node #3: [9, 76] from Operation: 78-2=76 Current State: 67:[9, 76], Operations: ['6+3=9', '78-2=76'] Exploring Operation: 76-9=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 45, 64, 38, 11 ]
22
[ "64-45=19", "38*11=418", "418/19=22" ]
Current State: 22:[45, 64, 38, 11], Operations: [] Exploring Operation: 64-45=19, Resulting Numbers: [38, 11, 19] Generated Node #2: [38, 11, 19] from Operation: 64-45=19 Current State: 22:[38, 11, 19], Operations: ['64-45=19'] Exploring Operation: 38*11=418, Resulting Numbers: [19, 418] Generated Node #3: [19, 418] from Operation: 38*11=418 Current State: 22:[19, 418], Operations: ['64-45=19', '38*11=418'] Exploring Operation: 418/19=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 27, 14, 84, 36 ]
21
[ "84/14=6", "36/6=6", "27-6=21" ]
Current State: 21:[27, 14, 84, 36], Operations: [] Exploring Operation: 84/14=6, Resulting Numbers: [27, 36, 6] Generated Node #2: [27, 36, 6] from Operation: 84/14=6 Current State: 21:[27, 36, 6], Operations: ['84/14=6'] Exploring Operation: 36/6=6, Resulting Numbers: [27, 6] Generated Node #3: [27, 6] from Operation: 36/6=6 Current State: 21:[27, 6], Operations: ['84/14=6', '36/6=6'] Exploring Operation: 27-6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 25, 14, 78, 61 ]
81
[ "14+61=75", "75/25=3", "78+3=81" ]
Current State: 81:[25, 14, 78, 61], Operations: [] Exploring Operation: 14+61=75, Resulting Numbers: [25, 78, 75] Generated Node #2: [25, 78, 75] from Operation: 14+61=75 Current State: 81:[25, 78, 75], Operations: ['14+61=75'] Exploring Operation: 75/25=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 75/25=3 Current State: 81:[78, 3], Operations: ['14+61=75', '75/25=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 58, 67, 14, 84 ]
27
[ "58+67=125", "14+84=98", "125-98=27" ]
Current State: 27:[58, 67, 14, 84], Operations: [] Exploring Operation: 58+67=125, Resulting Numbers: [14, 84, 125] Generated Node #2: [14, 84, 125] from Operation: 58+67=125 Current State: 27:[14, 84, 125], Operations: ['58+67=125'] Exploring Operation: 14+84=98, Resulting Numbers: [125, 98] Generated Node #3: [125, 98] from Operation: 14+84=98 Current State: 27:[125, 98], Operations: ['58+67=125', '14+84=98'] Exploring Operation: 125-98=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 79, 73, 95, 73 ]
28
[ "79-73=6", "95+73=168", "168/6=28" ]
Current State: 28:[79, 73, 95, 73], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [95, 6] Generated Node #2: [95, 6] from Operation: 79-73=6 Current State: 28:[95, 6], Operations: ['79-73=6'] Exploring Operation: 95+73=168, Resulting Numbers: [6, 168] Generated Node #3: [6, 168] from Operation: 95+73=168 Current State: 28:[6, 168], Operations: ['79-73=6', '95+73=168'] Exploring Operation: 168/6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 80, 94, 7, 62 ]
55
[ "94-80=14", "7+62=69", "69-14=55" ]
Current State: 55:[80, 94, 7, 62], Operations: [] Exploring Operation: 94-80=14, Resulting Numbers: [7, 62, 14] Generated Node #2: [7, 62, 14] from Operation: 94-80=14 Current State: 55:[7, 62, 14], Operations: ['94-80=14'] Exploring Operation: 7+62=69, Resulting Numbers: [14, 69] Generated Node #3: [14, 69] from Operation: 7+62=69 Current State: 55:[14, 69], Operations: ['94-80=14', '7+62=69'] Exploring Operation: 69-14=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 29, 74, 4, 31 ]
35
[ "31-29=2", "74-4=70", "70/2=35" ]
Current State: 35:[29, 74, 4, 31], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [74, 4, 2] Generated Node #2: [74, 4, 2] from Operation: 31-29=2 Current State: 35:[74, 4, 2], Operations: ['31-29=2'] Exploring Operation: 74-4=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 74-4=70 Current State: 35:[2, 70], Operations: ['31-29=2', '74-4=70'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 62, 62, 7, 24 ]
24
[ "62-62=0", "7*0=0", "24+0=24" ]
Current State: 24:[62, 62, 7, 24], Operations: [] Exploring Operation: 62-62=0, Resulting Numbers: [7, 24, 0] Generated Node #2: [7, 24, 0] from Operation: 62-62=0 Current State: 24:[7, 24, 0], Operations: ['62-62=0'] Exploring Operation: 7*0=0, Resulting Numbers: [24, 0] Generated Node #3: [24, 0] from Operation: 7*0=0 Current State: 24:[24, 0], Operations: ['62-62=0', '7*0=0'] Exploring Operation: 24+0=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 83, 56, 59, 53 ]
10
[ "83-53=30", "59-56=3", "30/3=10" ]
Current State: 10:[83, 56, 59, 53], Operations: [] Exploring Operation: 83-53=30, Resulting Numbers: [56, 59, 30] Generated Node #2: [56, 59, 30] from Operation: 83-53=30 Current State: 10:[56, 59, 30], Operations: ['83-53=30'] Exploring Operation: 59-56=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 59-56=3 Current State: 10:[30, 3], Operations: ['83-53=30', '59-56=3'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 78, 10, 79, 24 ]
33
[ "78+10=88", "79-24=55", "88-55=33" ]
Current State: 33:[78, 10, 79, 24], Operations: [] Exploring Operation: 78+10=88, Resulting Numbers: [79, 24, 88] Generated Node #2: [79, 24, 88] from Operation: 78+10=88 Current State: 33:[79, 24, 88], Operations: ['78+10=88'] Exploring Operation: 79-24=55, Resulting Numbers: [88, 55] Generated Node #3: [88, 55] from Operation: 79-24=55 Current State: 33:[88, 55], Operations: ['78+10=88', '79-24=55'] Exploring Operation: 88-55=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 24, 48, 2, 20 ]
14
[ "48-24=24", "20/2=10", "24-10=14" ]
Current State: 14:[24, 48, 2, 20], Operations: [] Exploring Operation: 48-24=24, Resulting Numbers: [2, 20, 24] Generated Node #2: [2, 20, 24] from Operation: 48-24=24 Current State: 14:[2, 20, 24], Operations: ['48-24=24'] Exploring Operation: 20/2=10, Resulting Numbers: [24, 10] Generated Node #3: [24, 10] from Operation: 20/2=10 Current State: 14:[24, 10], Operations: ['48-24=24', '20/2=10'] Exploring Operation: 24-10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 48, 52, 8, 19 ]
84
[ "52-48=4", "19*4=76", "8+76=84" ]
Current State: 84:[48, 52, 8, 19], Operations: [] Exploring Operation: 52-48=4, Resulting Numbers: [8, 19, 4] Generated Node #2: [8, 19, 4] from Operation: 52-48=4 Current State: 84:[8, 19, 4], Operations: ['52-48=4'] Exploring Operation: 19*4=76, Resulting Numbers: [8, 76] Generated Node #3: [8, 76] from Operation: 19*4=76 Current State: 84:[8, 76], Operations: ['52-48=4', '19*4=76'] Exploring Operation: 8+76=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 31, 11, 88 ]
86
[ "3*11=33", "31+88=119", "119-33=86" ]
Current State: 86:[3, 31, 11, 88], Operations: [] Exploring Operation: 3*11=33, Resulting Numbers: [31, 88, 33] Generated Node #2: [31, 88, 33] from Operation: 3*11=33 Current State: 86:[31, 88, 33], Operations: ['3*11=33'] Exploring Operation: 31+88=119, Resulting Numbers: [33, 119] Generated Node #3: [33, 119] from Operation: 31+88=119 Current State: 86:[33, 119], Operations: ['3*11=33', '31+88=119'] Exploring Operation: 119-33=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 2, 73, 75, 53 ]
97
[ "2+73=75", "75-53=22", "75+22=97" ]
Current State: 97:[2, 73, 75, 53], Operations: [] Exploring Operation: 2+73=75, Resulting Numbers: [75, 53, 75] Generated Node #2: [75, 53, 75] from Operation: 2+73=75 Current State: 97:[75, 53, 75], Operations: ['2+73=75'] Exploring Operation: 75-53=22, Resulting Numbers: [22] 22,97 equal: Goal Reached Exploring Operation: 75+22=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 43, 36, 51, 16 ]
42
[ "43-36=7", "51-16=35", "7+35=42" ]
Current State: 42:[43, 36, 51, 16], Operations: [] Exploring Operation: 43-36=7, Resulting Numbers: [51, 16, 7] Generated Node #2: [51, 16, 7] from Operation: 43-36=7 Current State: 42:[51, 16, 7], Operations: ['43-36=7'] Exploring Operation: 51-16=35, Resulting Numbers: [7, 35] Generated Node #3: [7, 35] from Operation: 51-16=35 Current State: 42:[7, 35], Operations: ['43-36=7', '51-16=35'] Exploring Operation: 7+35=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 80, 9, 44, 19 ]
26
[ "80+9=89", "44+19=63", "89-63=26" ]
Current State: 26:[80, 9, 44, 19], Operations: [] Exploring Operation: 80+9=89, Resulting Numbers: [44, 19, 89] Generated Node #2: [44, 19, 89] from Operation: 80+9=89 Current State: 26:[44, 19, 89], Operations: ['80+9=89'] Exploring Operation: 44+19=63, Resulting Numbers: [89, 63] Generated Node #3: [89, 63] from Operation: 44+19=63 Current State: 26:[89, 63], Operations: ['80+9=89', '44+19=63'] Exploring Operation: 89-63=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 13, 42, 95, 42 ]
82
[ "13+42=55", "95+42=137", "137-55=82" ]
Current State: 82:[13, 42, 95, 42], Operations: [] Exploring Operation: 13+42=55, Resulting Numbers: [95, 55] Generated Node #2: [95, 55] from Operation: 13+42=55 Current State: 82:[95, 55], Operations: ['13+42=55'] Exploring Operation: 95+42=137, Resulting Numbers: [55, 137] Generated Node #3: [55, 137] from Operation: 95+42=137 Current State: 82:[55, 137], Operations: ['13+42=55', '95+42=137'] Exploring Operation: 137-55=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 48, 34, 97, 82 ]
97
[ "48+34=82", "97+82=179", "179-82=97" ]
Current State: 97:[48, 34, 97, 82], Operations: [] Exploring Operation: 48+34=82, Resulting Numbers: [97, 82, 82] Generated Node #2: [97, 82, 82] from Operation: 48+34=82 Current State: 97:[97, 82, 82], Operations: ['48+34=82'] Exploring Operation: 97+82=179, Resulting Numbers: [179] 179,97 equal: Goal Reached Exploring Operation: 179-82=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 22, 18, 77, 13 ]
16
[ "22-18=4", "77-13=64", "64/4=16" ]
Current State: 16:[22, 18, 77, 13], Operations: [] Exploring Operation: 22-18=4, Resulting Numbers: [77, 13, 4] Generated Node #2: [77, 13, 4] from Operation: 22-18=4 Current State: 16:[77, 13, 4], Operations: ['22-18=4'] Exploring Operation: 77-13=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 77-13=64 Current State: 16:[4, 64], Operations: ['22-18=4', '77-13=64'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 10, 31, 56, 80 ]
79
[ "80/10=8", "31+56=87", "87-8=79" ]
Current State: 79:[10, 31, 56, 80], Operations: [] Exploring Operation: 80/10=8, Resulting Numbers: [31, 56, 8] Generated Node #2: [31, 56, 8] from Operation: 80/10=8 Current State: 79:[31, 56, 8], Operations: ['80/10=8'] Exploring Operation: 31+56=87, Resulting Numbers: [8, 87] Generated Node #3: [8, 87] from Operation: 31+56=87 Current State: 79:[8, 87], Operations: ['80/10=8', '31+56=87'] Exploring Operation: 87-8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 86, 48, 57, 66 ]
85
[ "86-48=38", "57+66=123", "123-38=85" ]
Current State: 85:[86, 48, 57, 66], Operations: [] Exploring Operation: 86-48=38, Resulting Numbers: [57, 66, 38] Generated Node #2: [57, 66, 38] from Operation: 86-48=38 Current State: 85:[57, 66, 38], Operations: ['86-48=38'] Exploring Operation: 57+66=123, Resulting Numbers: [38, 123] Generated Node #3: [38, 123] from Operation: 57+66=123 Current State: 85:[38, 123], Operations: ['86-48=38', '57+66=123'] Exploring Operation: 123-38=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 36, 31, 78, 78 ]
68
[ "36+31=67", "78/78=1", "67+1=68" ]
Current State: 68:[36, 31, 78, 78], Operations: [] Exploring Operation: 36+31=67, Resulting Numbers: [78, 78, 67] Generated Node #2: [78, 78, 67] from Operation: 36+31=67 Current State: 68:[78, 78, 67], Operations: ['36+31=67'] Exploring Operation: 78/78=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 78/78=1 Current State: 68:[67, 1], Operations: ['36+31=67', '78/78=1'] Exploring Operation: 67+1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 90, 39, 3, 36 ]
81
[ "90+36=126", "126/3=42", "39+42=81" ]
Current State: 81:[90, 39, 3, 36], Operations: [] Exploring Operation: 90+36=126, Resulting Numbers: [39, 3, 126] Generated Node #2: [39, 3, 126] from Operation: 90+36=126 Current State: 81:[39, 3, 126], Operations: ['90+36=126'] Exploring Operation: 126/3=42, Resulting Numbers: [39, 42] Generated Node #3: [39, 42] from Operation: 126/3=42 Current State: 81:[39, 42], Operations: ['90+36=126', '126/3=42'] Exploring Operation: 39+42=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 71, 49, 95, 57 ]
60
[ "71-49=22", "95-57=38", "22+38=60" ]
Current State: 60:[71, 49, 95, 57], Operations: [] Exploring Operation: 71-49=22, Resulting Numbers: [95, 57, 22] Generated Node #2: [95, 57, 22] from Operation: 71-49=22 Current State: 60:[95, 57, 22], Operations: ['71-49=22'] Exploring Operation: 95-57=38, Resulting Numbers: [22, 38] Generated Node #3: [22, 38] from Operation: 95-57=38 Current State: 60:[22, 38], Operations: ['71-49=22', '95-57=38'] Exploring Operation: 22+38=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 88, 90, 74, 14 ]
90
[ "88+90=178", "74+14=88", "178-88=90" ]
Current State: 90:[88, 90, 74, 14], Operations: [] Exploring Operation: 88+90=178, Resulting Numbers: [74, 14, 178] Generated Node #2: [74, 14, 178] from Operation: 88+90=178 Current State: 90:[74, 14, 178], Operations: ['88+90=178'] Exploring Operation: 74+14=88, Resulting Numbers: [178, 88] Generated Node #3: [178, 88] from Operation: 74+14=88 Current State: 90:[178, 88], Operations: ['88+90=178', '74+14=88'] Exploring Operation: 178-88=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 28, 82, 81, 74 ]
61
[ "82-28=54", "81-74=7", "54+7=61" ]
Current State: 61:[28, 82, 81, 74], Operations: [] Exploring Operation: 82-28=54, Resulting Numbers: [81, 74, 54] Generated Node #2: [81, 74, 54] from Operation: 82-28=54 Current State: 61:[81, 74, 54], Operations: ['82-28=54'] Exploring Operation: 81-74=7, Resulting Numbers: [54, 7] Generated Node #3: [54, 7] from Operation: 81-74=7 Current State: 61:[54, 7], Operations: ['82-28=54', '81-74=7'] Exploring Operation: 54+7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 11, 86, 6, 89 ]
31
[ "11+86=97", "89+97=186", "186/6=31" ]
Current State: 31:[11, 86, 6, 89], Operations: [] Exploring Operation: 11+86=97, Resulting Numbers: [6, 89, 97] Generated Node #2: [6, 89, 97] from Operation: 11+86=97 Current State: 31:[6, 89, 97], Operations: ['11+86=97'] Exploring Operation: 89+97=186, Resulting Numbers: [6, 186] Generated Node #3: [6, 186] from Operation: 89+97=186 Current State: 31:[6, 186], Operations: ['11+86=97', '89+97=186'] Exploring Operation: 186/6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 81, 4, 25, 6 ]
20
[ "81-25=56", "56/4=14", "6+14=20" ]
Current State: 20:[81, 4, 25, 6], Operations: [] Exploring Operation: 81-25=56, Resulting Numbers: [4, 6, 56] Generated Node #2: [4, 6, 56] from Operation: 81-25=56 Current State: 20:[4, 6, 56], Operations: ['81-25=56'] Exploring Operation: 56/4=14, Resulting Numbers: [6, 14] Generated Node #3: [6, 14] from Operation: 56/4=14 Current State: 20:[6, 14], Operations: ['81-25=56', '56/4=14'] Exploring Operation: 6+14=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 3, 1, 16, 43 ]
61
[ "3-1=2", "16+43=59", "2+59=61" ]
Current State: 61:[3, 1, 16, 43], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [16, 43, 2] Generated Node #2: [16, 43, 2] from Operation: 3-1=2 Current State: 61:[16, 43, 2], Operations: ['3-1=2'] Exploring Operation: 16+43=59, Resulting Numbers: [2, 59] Generated Node #3: [2, 59] from Operation: 16+43=59 Current State: 61:[2, 59], Operations: ['3-1=2', '16+43=59'] Exploring Operation: 2+59=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 87, 15, 36, 73 ]
65
[ "87+15=102", "73-36=37", "102-37=65" ]
Current State: 65:[87, 15, 36, 73], Operations: [] Exploring Operation: 87+15=102, Resulting Numbers: [36, 73, 102] Generated Node #2: [36, 73, 102] from Operation: 87+15=102 Current State: 65:[36, 73, 102], Operations: ['87+15=102'] Exploring Operation: 73-36=37, Resulting Numbers: [102, 37] Generated Node #3: [102, 37] from Operation: 73-36=37 Current State: 65:[102, 37], Operations: ['87+15=102', '73-36=37'] Exploring Operation: 102-37=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 43, 22, 83, 63 ]
45
[ "43+22=65", "83-63=20", "65-20=45" ]
Current State: 45:[43, 22, 83, 63], Operations: [] Exploring Operation: 43+22=65, Resulting Numbers: [83, 63, 65] Generated Node #2: [83, 63, 65] from Operation: 43+22=65 Current State: 45:[83, 63, 65], Operations: ['43+22=65'] Exploring Operation: 83-63=20, Resulting Numbers: [65, 20] Generated Node #3: [65, 20] from Operation: 83-63=20 Current State: 45:[65, 20], Operations: ['43+22=65', '83-63=20'] Exploring Operation: 65-20=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 10, 45, 30, 13 ]
12
[ "10+45=55", "30+13=43", "55-43=12" ]
Current State: 12:[10, 45, 30, 13], Operations: [] Exploring Operation: 10+45=55, Resulting Numbers: [30, 13, 55] Generated Node #2: [30, 13, 55] from Operation: 10+45=55 Current State: 12:[30, 13, 55], Operations: ['10+45=55'] Exploring Operation: 30+13=43, Resulting Numbers: [55, 43] Generated Node #3: [55, 43] from Operation: 30+13=43 Current State: 12:[55, 43], Operations: ['10+45=55', '30+13=43'] Exploring Operation: 55-43=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 32, 49, 42, 84 ]
33
[ "32*42=1344", "1344/84=16", "49-16=33" ]
Current State: 33:[32, 49, 42, 84], Operations: [] Exploring Operation: 32*42=1344, Resulting Numbers: [49, 84, 1344] Generated Node #2: [49, 84, 1344] from Operation: 32*42=1344 Current State: 33:[49, 84, 1344], Operations: ['32*42=1344'] Exploring Operation: 1344/84=16, Resulting Numbers: [49, 16] Generated Node #3: [49, 16] from Operation: 1344/84=16 Current State: 33:[49, 16], Operations: ['32*42=1344', '1344/84=16'] Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 64, 30, 32, 20 ]
54
[ "32-30=2", "20/2=10", "64-10=54" ]
Current State: 54:[64, 30, 32, 20], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [64, 20, 2] Generated Node #2: [64, 20, 2] from Operation: 32-30=2 Current State: 54:[64, 20, 2], Operations: ['32-30=2'] Exploring Operation: 20/2=10, Resulting Numbers: [64, 10] Generated Node #3: [64, 10] from Operation: 20/2=10 Current State: 54:[64, 10], Operations: ['32-30=2', '20/2=10'] Exploring Operation: 64-10=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 3, 60, 23, 6 ]
66
[ "23*6=138", "60+138=198", "198/3=66" ]
Current State: 66:[3, 60, 23, 6], Operations: [] Exploring Operation: 23*6=138, Resulting Numbers: [3, 60, 138] Generated Node #2: [3, 60, 138] from Operation: 23*6=138 Current State: 66:[3, 60, 138], Operations: ['23*6=138'] Exploring Operation: 60+138=198, Resulting Numbers: [3, 198] Generated Node #3: [3, 198] from Operation: 60+138=198 Current State: 66:[3, 198], Operations: ['23*6=138', '60+138=198'] Exploring Operation: 198/3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 63, 7, 28, 88 ]
51
[ "63/7=9", "88-28=60", "60-9=51" ]
Current State: 51:[63, 7, 28, 88], Operations: [] Exploring Operation: 63/7=9, Resulting Numbers: [28, 88, 9] Generated Node #2: [28, 88, 9] from Operation: 63/7=9 Current State: 51:[28, 88, 9], Operations: ['63/7=9'] Exploring Operation: 88-28=60, Resulting Numbers: [9, 60] Generated Node #3: [9, 60] from Operation: 88-28=60 Current State: 51:[9, 60], Operations: ['63/7=9', '88-28=60'] Exploring Operation: 60-9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 60, 40, 94 ]
46
[ "2*40=80", "94-60=34", "80-34=46" ]
Current State: 46:[2, 60, 40, 94], Operations: [] Exploring Operation: 2*40=80, Resulting Numbers: [60, 94, 80] Generated Node #2: [60, 94, 80] from Operation: 2*40=80 Current State: 46:[60, 94, 80], Operations: ['2*40=80'] Exploring Operation: 94-60=34, Resulting Numbers: [80, 34] Generated Node #3: [80, 34] from Operation: 94-60=34 Current State: 46:[80, 34], Operations: ['2*40=80', '94-60=34'] Exploring Operation: 80-34=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 8, 22, 18, 17 ]
50
[ "18-8=10", "22-17=5", "10*5=50" ]
Current State: 50:[8, 22, 18, 17], Operations: [] Exploring Operation: 18-8=10, Resulting Numbers: [22, 17, 10] Generated Node #2: [22, 17, 10] from Operation: 18-8=10 Current State: 50:[22, 17, 10], Operations: ['18-8=10'] Exploring Operation: 22-17=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 22-17=5 Current State: 50:[10, 5], Operations: ['18-8=10', '22-17=5'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 45, 8, 32, 39 ]
65
[ "45-32=13", "8*13=104", "104-39=65" ]
Current State: 65:[45, 8, 32, 39], Operations: [] Exploring Operation: 45-32=13, Resulting Numbers: [8, 39, 13] Generated Node #2: [8, 39, 13] from Operation: 45-32=13 Current State: 65:[8, 39, 13], Operations: ['45-32=13'] Exploring Operation: 8*13=104, Resulting Numbers: [39, 104] Generated Node #3: [39, 104] from Operation: 8*13=104 Current State: 65:[39, 104], Operations: ['45-32=13', '8*13=104'] Exploring Operation: 104-39=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4