nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
7,
43,
1,
13
] | 45 | [
"1+13=14",
"14/7=2",
"43+2=45"
] | Current State: 45:[7, 43, 1, 13], Operations: []
Exploring Operation: 1+13=14, Resulting Numbers: [7, 43, 14]
Generated Node #2: [7, 43, 14] from Operation: 1+13=14
Current State: 45:[7, 43, 14], Operations: ['1+13=14']
Exploring Operation: 14/7=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 14/7=2
Current State: 45:[43, 2], Operations: ['1+13=14', '14/7=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
16,
20,
30,
60
] | 54 | [
"16+20=36",
"30+60=90",
"90-36=54"
] | Current State: 54:[16, 20, 30, 60], Operations: []
Exploring Operation: 16+20=36, Resulting Numbers: [30, 60, 36]
Generated Node #2: [30, 60, 36] from Operation: 16+20=36
Current State: 54:[30, 60, 36], Operations: ['16+20=36']
Exploring Operation: 30+60=90, Resulting Numbers: [36, 90]
Generated Node #3: [36, 90] from Operation: 30+60=90
Current State: 54:[36, 90], Operations: ['16+20=36', '30+60=90']
Exploring Operation: 90-36=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
94,
66,
56,
75
] | 47 | [
"94-66=28",
"75-56=19",
"28+19=47"
] | Current State: 47:[94, 66, 56, 75], Operations: []
Exploring Operation: 94-66=28, Resulting Numbers: [56, 75, 28]
Generated Node #2: [56, 75, 28] from Operation: 94-66=28
Current State: 47:[56, 75, 28], Operations: ['94-66=28']
Exploring Operation: 75-56=19, Resulting Numbers: [28, 19]
Generated Node #3: [28, 19] from Operation: 75-56=19
Current State: 47:[28, 19], Operations: ['94-66=28', '75-56=19']
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
98,
79,
14,
41
] | 31 | [
"98/14=7",
"79-41=38",
"38-7=31"
] | Current State: 31:[98, 79, 14, 41], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [79, 41, 7]
Generated Node #2: [79, 41, 7] from Operation: 98/14=7
Current State: 31:[79, 41, 7], Operations: ['98/14=7']
Exploring Operation: 79-41=38, Resulting Numbers: [7, 38]
Generated Node #3: [7, 38] from Operation: 79-41=38
Current State: 31:[7, 38], Operations: ['98/14=7', '79-41=38']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
12,
42,
72,
35
] | 67 | [
"42-12=30",
"72-35=37",
"30+37=67"
] | Current State: 67:[12, 42, 72, 35], Operations: []
Exploring Operation: 42-12=30, Resulting Numbers: [72, 35, 30]
Generated Node #2: [72, 35, 30] from Operation: 42-12=30
Current State: 67:[72, 35, 30], Operations: ['42-12=30']
Exploring Operation: 72-35=37, Resulting Numbers: [30, 37]
Generated Node #3: [30, 37] from Operation: 72-35=37
Current State: 67:[30, 37], Operations: ['42-12=30', '72-35=37']
Exploring Operation: 30+37=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
7,
71,
33,
92
] | 68 | [
"7*33=231",
"71+92=163",
"231-163=68"
] | Current State: 68:[7, 71, 33, 92], Operations: []
Exploring Operation: 7*33=231, Resulting Numbers: [71, 92, 231]
Generated Node #2: [71, 92, 231] from Operation: 7*33=231
Current State: 68:[71, 92, 231], Operations: ['7*33=231']
Exploring Operation: 71+92=163, Resulting Numbers: [231, 163]
Generated Node #3: [231, 163] from Operation: 71+92=163
Current State: 68:[231, 163], Operations: ['7*33=231', '71+92=163']
Exploring Operation: 231-163=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
3,
40,
46,
34
] | 32 | [
"46-40=6",
"6/3=2",
"34-2=32"
] | Current State: 32:[3, 40, 46, 34], Operations: []
Exploring Operation: 46-40=6, Resulting Numbers: [3, 34, 6]
Generated Node #2: [3, 34, 6] from Operation: 46-40=6
Current State: 32:[3, 34, 6], Operations: ['46-40=6']
Exploring Operation: 6/3=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 6/3=2
Current State: 32:[34, 2], Operations: ['46-40=6', '6/3=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
73,
64,
58,
4
] | 71 | [
"73-64=9",
"58+4=62",
"9+62=71"
] | Current State: 71:[73, 64, 58, 4], Operations: []
Exploring Operation: 73-64=9, Resulting Numbers: [58, 4, 9]
Generated Node #2: [58, 4, 9] from Operation: 73-64=9
Current State: 71:[58, 4, 9], Operations: ['73-64=9']
Exploring Operation: 58+4=62, Resulting Numbers: [9, 62]
Generated Node #3: [9, 62] from Operation: 58+4=62
Current State: 71:[9, 62], Operations: ['73-64=9', '58+4=62']
Exploring Operation: 9+62=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
52,
55,
30,
74
] | 41 | [
"55-52=3",
"74-30=44",
"44-3=41"
] | Current State: 41:[52, 55, 30, 74], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [30, 74, 3]
Generated Node #2: [30, 74, 3] from Operation: 55-52=3
Current State: 41:[30, 74, 3], Operations: ['55-52=3']
Exploring Operation: 74-30=44, Resulting Numbers: [3, 44]
Generated Node #3: [3, 44] from Operation: 74-30=44
Current State: 41:[3, 44], Operations: ['55-52=3', '74-30=44']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
59,
89,
98,
75
] | 25 | [
"59+89=148",
"98+75=173",
"173-148=25"
] | Current State: 25:[59, 89, 98, 75], Operations: []
Exploring Operation: 59+89=148, Resulting Numbers: [98, 75, 148]
Generated Node #2: [98, 75, 148] from Operation: 59+89=148
Current State: 25:[98, 75, 148], Operations: ['59+89=148']
Exploring Operation: 98+75=173, Resulting Numbers: [148, 173]
Generated Node #3: [148, 173] from Operation: 98+75=173
Current State: 25:[148, 173], Operations: ['59+89=148', '98+75=173']
Exploring Operation: 173-148=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
2,
61,
72,
1
] | 82 | [
"2*72=144",
"61+1=62",
"144-62=82"
] | Current State: 82:[2, 61, 72, 1], Operations: []
Exploring Operation: 2*72=144, Resulting Numbers: [61, 1, 144]
Generated Node #2: [61, 1, 144] from Operation: 2*72=144
Current State: 82:[61, 1, 144], Operations: ['2*72=144']
Exploring Operation: 61+1=62, Resulting Numbers: [144, 62]
Generated Node #3: [144, 62] from Operation: 61+1=62
Current State: 82:[144, 62], Operations: ['2*72=144', '61+1=62']
Exploring Operation: 144-62=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
43,
97,
22,
45
] | 73 | [
"43+97=140",
"22+45=67",
"140-67=73"
] | Current State: 73:[43, 97, 22, 45], Operations: []
Exploring Operation: 43+97=140, Resulting Numbers: [22, 45, 140]
Generated Node #2: [22, 45, 140] from Operation: 43+97=140
Current State: 73:[22, 45, 140], Operations: ['43+97=140']
Exploring Operation: 22+45=67, Resulting Numbers: [140, 67]
Generated Node #3: [140, 67] from Operation: 22+45=67
Current State: 73:[140, 67], Operations: ['43+97=140', '22+45=67']
Exploring Operation: 140-67=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
40,
15,
82,
29
] | 56 | [
"40+15=55",
"82+29=111",
"111-55=56"
] | Current State: 56:[40, 15, 82, 29], Operations: []
Exploring Operation: 40+15=55, Resulting Numbers: [82, 29, 55]
Generated Node #2: [82, 29, 55] from Operation: 40+15=55
Current State: 56:[82, 29, 55], Operations: ['40+15=55']
Exploring Operation: 82+29=111, Resulting Numbers: [55, 111]
Generated Node #3: [55, 111] from Operation: 82+29=111
Current State: 56:[55, 111], Operations: ['40+15=55', '82+29=111']
Exploring Operation: 111-55=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
91,
63,
47,
70
] | 44 | [
"91-70=21",
"63/21=3",
"47-3=44"
] | Current State: 44:[91, 63, 47, 70], Operations: []
Exploring Operation: 91-70=21, Resulting Numbers: [63, 47, 21]
Generated Node #2: [63, 47, 21] from Operation: 91-70=21
Current State: 44:[63, 47, 21], Operations: ['91-70=21']
Exploring Operation: 63/21=3, Resulting Numbers: [47, 3]
Generated Node #3: [47, 3] from Operation: 63/21=3
Current State: 44:[47, 3], Operations: ['91-70=21', '63/21=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
25,
66,
53,
9
] | 21 | [
"66-25=41",
"53+9=62",
"62-41=21"
] | Current State: 21:[25, 66, 53, 9], Operations: []
Exploring Operation: 66-25=41, Resulting Numbers: [53, 9, 41]
Generated Node #2: [53, 9, 41] from Operation: 66-25=41
Current State: 21:[53, 9, 41], Operations: ['66-25=41']
Exploring Operation: 53+9=62, Resulting Numbers: [41, 62]
Generated Node #3: [41, 62] from Operation: 53+9=62
Current State: 21:[41, 62], Operations: ['66-25=41', '53+9=62']
Exploring Operation: 62-41=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
22,
86,
77,
66
] | 84 | [
"77-66=11",
"22/11=2",
"86-2=84"
] | Current State: 84:[22, 86, 77, 66], Operations: []
Exploring Operation: 77-66=11, Resulting Numbers: [22, 86, 11]
Generated Node #2: [22, 86, 11] from Operation: 77-66=11
Current State: 84:[22, 86, 11], Operations: ['77-66=11']
Exploring Operation: 22/11=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 22/11=2
Current State: 84:[86, 2], Operations: ['77-66=11', '22/11=2']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
34,
60,
93,
73
] | 31 | [
"93-73=20",
"60/20=3",
"34-3=31"
] | Current State: 31:[34, 60, 93, 73], Operations: []
Exploring Operation: 93-73=20, Resulting Numbers: [34, 60, 20]
Generated Node #2: [34, 60, 20] from Operation: 93-73=20
Current State: 31:[34, 60, 20], Operations: ['93-73=20']
Exploring Operation: 60/20=3, Resulting Numbers: [34, 3]
Generated Node #3: [34, 3] from Operation: 60/20=3
Current State: 31:[34, 3], Operations: ['93-73=20', '60/20=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
48,
94,
98,
1
] | 51 | [
"94-48=46",
"98-1=97",
"97-46=51"
] | Current State: 51:[48, 94, 98, 1], Operations: []
Exploring Operation: 94-48=46, Resulting Numbers: [98, 1, 46]
Generated Node #2: [98, 1, 46] from Operation: 94-48=46
Current State: 51:[98, 1, 46], Operations: ['94-48=46']
Exploring Operation: 98-1=97, Resulting Numbers: [46, 97]
Generated Node #3: [46, 97] from Operation: 98-1=97
Current State: 51:[46, 97], Operations: ['94-48=46', '98-1=97']
Exploring Operation: 97-46=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
51,
94,
47,
23
] | 56 | [
"51-23=28",
"94/47=2",
"28*2=56"
] | Current State: 56:[51, 94, 47, 23], Operations: []
Exploring Operation: 51-23=28, Resulting Numbers: [94, 47, 28]
Generated Node #2: [94, 47, 28] from Operation: 51-23=28
Current State: 56:[94, 47, 28], Operations: ['51-23=28']
Exploring Operation: 94/47=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 94/47=2
Current State: 56:[28, 2], Operations: ['51-23=28', '94/47=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
27,
95,
63,
89
] | 15 | [
"27+63=90",
"95-89=6",
"90/6=15"
] | Current State: 15:[27, 95, 63, 89], Operations: []
Exploring Operation: 27+63=90, Resulting Numbers: [95, 89, 90]
Generated Node #2: [95, 89, 90] from Operation: 27+63=90
Current State: 15:[95, 89, 90], Operations: ['27+63=90']
Exploring Operation: 95-89=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 95-89=6
Current State: 15:[90, 6], Operations: ['27+63=90', '95-89=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
95,
36,
98,
63
] | 94 | [
"95-36=59",
"98-63=35",
"59+35=94"
] | Current State: 94:[95, 36, 98, 63], Operations: []
Exploring Operation: 95-36=59, Resulting Numbers: [98, 63, 59]
Generated Node #2: [98, 63, 59] from Operation: 95-36=59
Current State: 94:[98, 63, 59], Operations: ['95-36=59']
Exploring Operation: 98-63=35, Resulting Numbers: [59, 35]
Generated Node #3: [59, 35] from Operation: 98-63=35
Current State: 94:[59, 35], Operations: ['95-36=59', '98-63=35']
Exploring Operation: 59+35=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
2,
8,
20,
34
] | 40 | [
"2*34=68",
"8+20=28",
"68-28=40"
] | Current State: 40:[2, 8, 20, 34], Operations: []
Exploring Operation: 2*34=68, Resulting Numbers: [8, 20, 68]
Generated Node #2: [8, 20, 68] from Operation: 2*34=68
Current State: 40:[8, 20, 68], Operations: ['2*34=68']
Exploring Operation: 8+20=28, Resulting Numbers: [68, 28]
Generated Node #3: [68, 28] from Operation: 8+20=28
Current State: 40:[68, 28], Operations: ['2*34=68', '8+20=28']
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
5,
25,
63,
9
] | 49 | [
"25/5=5",
"63-9=54",
"54-5=49"
] | Current State: 49:[5, 25, 63, 9], Operations: []
Exploring Operation: 25/5=5, Resulting Numbers: [63, 9, 5]
Generated Node #2: [63, 9, 5] from Operation: 25/5=5
Current State: 49:[63, 9, 5], Operations: ['25/5=5']
Exploring Operation: 63-9=54, Resulting Numbers: [5, 54]
Generated Node #3: [5, 54] from Operation: 63-9=54
Current State: 49:[5, 54], Operations: ['25/5=5', '63-9=54']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
32,
72,
87,
2
] | 83 | [
"32+87=119",
"72/2=36",
"119-36=83"
] | Current State: 83:[32, 72, 87, 2], Operations: []
Exploring Operation: 32+87=119, Resulting Numbers: [72, 2, 119]
Generated Node #2: [72, 2, 119] from Operation: 32+87=119
Current State: 83:[72, 2, 119], Operations: ['32+87=119']
Exploring Operation: 72/2=36, Resulting Numbers: [119, 36]
Generated Node #3: [119, 36] from Operation: 72/2=36
Current State: 83:[119, 36], Operations: ['32+87=119', '72/2=36']
Exploring Operation: 119-36=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
97,
51,
56,
83
] | 36 | [
"97+83=180",
"56-51=5",
"180/5=36"
] | Current State: 36:[97, 51, 56, 83], Operations: []
Exploring Operation: 97+83=180, Resulting Numbers: [51, 56, 180]
Generated Node #2: [51, 56, 180] from Operation: 97+83=180
Current State: 36:[51, 56, 180], Operations: ['97+83=180']
Exploring Operation: 56-51=5, Resulting Numbers: [180, 5]
Generated Node #3: [180, 5] from Operation: 56-51=5
Current State: 36:[180, 5], Operations: ['97+83=180', '56-51=5']
Exploring Operation: 180/5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
15,
91,
52,
97
] | 64 | [
"15+97=112",
"52*112=5824",
"5824/91=64"
] | Current State: 64:[15, 91, 52, 97], Operations: []
Exploring Operation: 15+97=112, Resulting Numbers: [91, 52, 112]
Generated Node #2: [91, 52, 112] from Operation: 15+97=112
Current State: 64:[91, 52, 112], Operations: ['15+97=112']
Exploring Operation: 52*112=5824, Resulting Numbers: [91, 5824]
Generated Node #3: [91, 5824] from Operation: 52*112=5824
Current State: 64:[91, 5824], Operations: ['15+97=112', '52*112=5824']
Exploring Operation: 5824/91=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
5,
76,
57,
20
] | 15 | [
"20/5=4",
"76-57=19",
"19-4=15"
] | Current State: 15:[5, 76, 57, 20], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [76, 57, 4]
Generated Node #2: [76, 57, 4] from Operation: 20/5=4
Current State: 15:[76, 57, 4], Operations: ['20/5=4']
Exploring Operation: 76-57=19, Resulting Numbers: [4, 19]
Generated Node #3: [4, 19] from Operation: 76-57=19
Current State: 15:[4, 19], Operations: ['20/5=4', '76-57=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
64,
97,
35,
65
] | 62 | [
"65-64=1",
"97-35=62",
"1*62=62"
] | Current State: 62:[64, 97, 35, 65], Operations: []
Exploring Operation: 65-64=1, Resulting Numbers: [97, 35, 1]
Generated Node #2: [97, 35, 1] from Operation: 65-64=1
Current State: 62:[97, 35, 1], Operations: ['65-64=1']
Exploring Operation: 97-35=62, Resulting Numbers: [1, 62]
Generated Node #3: [1, 62] from Operation: 97-35=62
Current State: 62:[1, 62], Operations: ['65-64=1', '97-35=62']
Exploring Operation: 1*62=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
29,
14,
25,
5
] | 84 | [
"25-14=11",
"5*11=55",
"29+55=84"
] | Current State: 84:[29, 14, 25, 5], Operations: []
Exploring Operation: 25-14=11, Resulting Numbers: [29, 5, 11]
Generated Node #2: [29, 5, 11] from Operation: 25-14=11
Current State: 84:[29, 5, 11], Operations: ['25-14=11']
Exploring Operation: 5*11=55, Resulting Numbers: [29, 55]
Generated Node #3: [29, 55] from Operation: 5*11=55
Current State: 84:[29, 55], Operations: ['25-14=11', '5*11=55']
Exploring Operation: 29+55=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
33,
21,
27,
20
] | 84 | [
"33-21=12",
"27-20=7",
"12*7=84"
] | Current State: 84:[33, 21, 27, 20], Operations: []
Exploring Operation: 33-21=12, Resulting Numbers: [27, 20, 12]
Generated Node #2: [27, 20, 12] from Operation: 33-21=12
Current State: 84:[27, 20, 12], Operations: ['33-21=12']
Exploring Operation: 27-20=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 27-20=7
Current State: 84:[12, 7], Operations: ['33-21=12', '27-20=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
80,
30,
39,
79
] | 90 | [
"80-30=50",
"79-39=40",
"50+40=90"
] | Current State: 90:[80, 30, 39, 79], Operations: []
Exploring Operation: 80-30=50, Resulting Numbers: [39, 79, 50]
Generated Node #2: [39, 79, 50] from Operation: 80-30=50
Current State: 90:[39, 79, 50], Operations: ['80-30=50']
Exploring Operation: 79-39=40, Resulting Numbers: [50, 40]
Generated Node #3: [50, 40] from Operation: 79-39=40
Current State: 90:[50, 40], Operations: ['80-30=50', '79-39=40']
Exploring Operation: 50+40=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
89,
74,
5,
58
] | 81 | [
"89-58=31",
"5*31=155",
"155-74=81"
] | Current State: 81:[89, 74, 5, 58], Operations: []
Exploring Operation: 89-58=31, Resulting Numbers: [74, 5, 31]
Generated Node #2: [74, 5, 31] from Operation: 89-58=31
Current State: 81:[74, 5, 31], Operations: ['89-58=31']
Exploring Operation: 5*31=155, Resulting Numbers: [74, 155]
Generated Node #3: [74, 155] from Operation: 5*31=155
Current State: 81:[74, 155], Operations: ['89-58=31', '5*31=155']
Exploring Operation: 155-74=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
63,
39,
3,
19
] | 91 | [
"63-39=24",
"3*24=72",
"19+72=91"
] | Current State: 91:[63, 39, 3, 19], Operations: []
Exploring Operation: 63-39=24, Resulting Numbers: [3, 19, 24]
Generated Node #2: [3, 19, 24] from Operation: 63-39=24
Current State: 91:[3, 19, 24], Operations: ['63-39=24']
Exploring Operation: 3*24=72, Resulting Numbers: [19, 72]
Generated Node #3: [19, 72] from Operation: 3*24=72
Current State: 91:[19, 72], Operations: ['63-39=24', '3*24=72']
Exploring Operation: 19+72=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
30,
32,
37,
60
] | 27 | [
"60/30=2",
"32*2=64",
"64-37=27"
] | Current State: 27:[30, 32, 37, 60], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [32, 37, 2]
Generated Node #2: [32, 37, 2] from Operation: 60/30=2
Current State: 27:[32, 37, 2], Operations: ['60/30=2']
Exploring Operation: 32*2=64, Resulting Numbers: [37, 64]
Generated Node #3: [37, 64] from Operation: 32*2=64
Current State: 27:[37, 64], Operations: ['60/30=2', '32*2=64']
Exploring Operation: 64-37=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
41,
71,
65,
78
] | 25 | [
"71-41=30",
"65*30=1950",
"1950/78=25"
] | Current State: 25:[41, 71, 65, 78], Operations: []
Exploring Operation: 71-41=30, Resulting Numbers: [65, 78, 30]
Generated Node #2: [65, 78, 30] from Operation: 71-41=30
Current State: 25:[65, 78, 30], Operations: ['71-41=30']
Exploring Operation: 65*30=1950, Resulting Numbers: [78, 1950]
Generated Node #3: [78, 1950] from Operation: 65*30=1950
Current State: 25:[78, 1950], Operations: ['71-41=30', '65*30=1950']
Exploring Operation: 1950/78=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
40,
63,
82,
80
] | 21 | [
"63-40=23",
"82-80=2",
"23-2=21"
] | Current State: 21:[40, 63, 82, 80], Operations: []
Exploring Operation: 63-40=23, Resulting Numbers: [82, 80, 23]
Generated Node #2: [82, 80, 23] from Operation: 63-40=23
Current State: 21:[82, 80, 23], Operations: ['63-40=23']
Exploring Operation: 82-80=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 82-80=2
Current State: 21:[23, 2], Operations: ['63-40=23', '82-80=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
89,
11,
54,
7
] | 92 | [
"11+7=18",
"54/18=3",
"89+3=92"
] | Current State: 92:[89, 11, 54, 7], Operations: []
Exploring Operation: 11+7=18, Resulting Numbers: [89, 54, 18]
Generated Node #2: [89, 54, 18] from Operation: 11+7=18
Current State: 92:[89, 54, 18], Operations: ['11+7=18']
Exploring Operation: 54/18=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 54/18=3
Current State: 92:[89, 3], Operations: ['11+7=18', '54/18=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
29,
6,
48,
27
] | 85 | [
"29+48=77",
"6*27=162",
"162-77=85"
] | Current State: 85:[29, 6, 48, 27], Operations: []
Exploring Operation: 29+48=77, Resulting Numbers: [6, 27, 77]
Generated Node #2: [6, 27, 77] from Operation: 29+48=77
Current State: 85:[6, 27, 77], Operations: ['29+48=77']
Exploring Operation: 6*27=162, Resulting Numbers: [77, 162]
Generated Node #3: [77, 162] from Operation: 6*27=162
Current State: 85:[77, 162], Operations: ['29+48=77', '6*27=162']
Exploring Operation: 162-77=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
50,
61,
51,
23
] | 84 | [
"51-50=1",
"61+23=84",
"1*84=84"
] | Current State: 84:[50, 61, 51, 23], Operations: []
Exploring Operation: 51-50=1, Resulting Numbers: [61, 23, 1]
Generated Node #2: [61, 23, 1] from Operation: 51-50=1
Current State: 84:[61, 23, 1], Operations: ['51-50=1']
Exploring Operation: 61+23=84, Resulting Numbers: [1, 84]
Generated Node #3: [1, 84] from Operation: 61+23=84
Current State: 84:[1, 84], Operations: ['51-50=1', '61+23=84']
Exploring Operation: 1*84=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
63,
21,
83,
55
] | 70 | [
"63-21=42",
"83-55=28",
"42+28=70"
] | Current State: 70:[63, 21, 83, 55], Operations: []
Exploring Operation: 63-21=42, Resulting Numbers: [83, 55, 42]
Generated Node #2: [83, 55, 42] from Operation: 63-21=42
Current State: 70:[83, 55, 42], Operations: ['63-21=42']
Exploring Operation: 83-55=28, Resulting Numbers: [42, 28]
Generated Node #3: [42, 28] from Operation: 83-55=28
Current State: 70:[42, 28], Operations: ['63-21=42', '83-55=28']
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
94,
49,
3,
71
] | 20 | [
"94-71=23",
"3*23=69",
"69-49=20"
] | Current State: 20:[94, 49, 3, 71], Operations: []
Exploring Operation: 94-71=23, Resulting Numbers: [49, 3, 23]
Generated Node #2: [49, 3, 23] from Operation: 94-71=23
Current State: 20:[49, 3, 23], Operations: ['94-71=23']
Exploring Operation: 3*23=69, Resulting Numbers: [49, 69]
Generated Node #3: [49, 69] from Operation: 3*23=69
Current State: 20:[49, 69], Operations: ['94-71=23', '3*23=69']
Exploring Operation: 69-49=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
14,
66,
95,
58
] | 16 | [
"95-66=29",
"58/29=2",
"14+2=16"
] | Current State: 16:[14, 66, 95, 58], Operations: []
Exploring Operation: 95-66=29, Resulting Numbers: [14, 58, 29]
Generated Node #2: [14, 58, 29] from Operation: 95-66=29
Current State: 16:[14, 58, 29], Operations: ['95-66=29']
Exploring Operation: 58/29=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 58/29=2
Current State: 16:[14, 2], Operations: ['95-66=29', '58/29=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
27,
2,
65,
8
] | 88 | [
"27*2=54",
"65-54=11",
"8*11=88"
] | Current State: 88:[27, 2, 65, 8], Operations: []
Exploring Operation: 27*2=54, Resulting Numbers: [65, 8, 54]
Generated Node #2: [65, 8, 54] from Operation: 27*2=54
Current State: 88:[65, 8, 54], Operations: ['27*2=54']
Exploring Operation: 65-54=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 65-54=11
Current State: 88:[8, 11], Operations: ['27*2=54', '65-54=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
33,
66,
8,
11
] | 35 | [
"33+8=41",
"66/11=6",
"41-6=35"
] | Current State: 35:[33, 66, 8, 11], Operations: []
Exploring Operation: 33+8=41, Resulting Numbers: [66, 11, 41]
Generated Node #2: [66, 11, 41] from Operation: 33+8=41
Current State: 35:[66, 11, 41], Operations: ['33+8=41']
Exploring Operation: 66/11=6, Resulting Numbers: [41, 6]
Generated Node #3: [41, 6] from Operation: 66/11=6
Current State: 35:[41, 6], Operations: ['33+8=41', '66/11=6']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
26,
37,
77,
48
] | 33 | [
"48-37=11",
"77/11=7",
"26+7=33"
] | Current State: 33:[26, 37, 77, 48], Operations: []
Exploring Operation: 48-37=11, Resulting Numbers: [26, 77, 11]
Generated Node #2: [26, 77, 11] from Operation: 48-37=11
Current State: 33:[26, 77, 11], Operations: ['48-37=11']
Exploring Operation: 77/11=7, Resulting Numbers: [26, 7]
Generated Node #3: [26, 7] from Operation: 77/11=7
Current State: 33:[26, 7], Operations: ['48-37=11', '77/11=7']
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
84,
31,
71,
69
] | 64 | [
"84+71=155",
"155/31=5",
"69-5=64"
] | Current State: 64:[84, 31, 71, 69], Operations: []
Exploring Operation: 84+71=155, Resulting Numbers: [31, 69, 155]
Generated Node #2: [31, 69, 155] from Operation: 84+71=155
Current State: 64:[31, 69, 155], Operations: ['84+71=155']
Exploring Operation: 155/31=5, Resulting Numbers: [69, 5]
Generated Node #3: [69, 5] from Operation: 155/31=5
Current State: 64:[69, 5], Operations: ['84+71=155', '155/31=5']
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
59,
14,
6,
48
] | 65 | [
"59+14=73",
"48/6=8",
"73-8=65"
] | Current State: 65:[59, 14, 6, 48], Operations: []
Exploring Operation: 59+14=73, Resulting Numbers: [6, 48, 73]
Generated Node #2: [6, 48, 73] from Operation: 59+14=73
Current State: 65:[6, 48, 73], Operations: ['59+14=73']
Exploring Operation: 48/6=8, Resulting Numbers: [73, 8]
Generated Node #3: [73, 8] from Operation: 48/6=8
Current State: 65:[73, 8], Operations: ['59+14=73', '48/6=8']
Exploring Operation: 73-8=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
7,
15,
3,
12
] | 95 | [
"7+12=19",
"15/3=5",
"19*5=95"
] | Current State: 95:[7, 15, 3, 12], Operations: []
Exploring Operation: 7+12=19, Resulting Numbers: [15, 3, 19]
Generated Node #2: [15, 3, 19] from Operation: 7+12=19
Current State: 95:[15, 3, 19], Operations: ['7+12=19']
Exploring Operation: 15/3=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 15/3=5
Current State: 95:[19, 5], Operations: ['7+12=19', '15/3=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
42,
30,
53,
42
] | 84 | [
"42/42=1",
"30+53=83",
"1+83=84"
] | Current State: 84:[42, 30, 53, 42], Operations: []
Exploring Operation: 42/42=1, Resulting Numbers: [30, 53, 1]
Generated Node #2: [30, 53, 1] from Operation: 42/42=1
Current State: 84:[30, 53, 1], Operations: ['42/42=1']
Exploring Operation: 30+53=83, Resulting Numbers: [1, 83]
Generated Node #3: [1, 83] from Operation: 30+53=83
Current State: 84:[1, 83], Operations: ['42/42=1', '30+53=83']
Exploring Operation: 1+83=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
21,
98,
94,
9
] | 57 | [
"98-94=4",
"9*4=36",
"21+36=57"
] | Current State: 57:[21, 98, 94, 9], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [21, 9, 4]
Generated Node #2: [21, 9, 4] from Operation: 98-94=4
Current State: 57:[21, 9, 4], Operations: ['98-94=4']
Exploring Operation: 9*4=36, Resulting Numbers: [21, 36]
Generated Node #3: [21, 36] from Operation: 9*4=36
Current State: 57:[21, 36], Operations: ['98-94=4', '9*4=36']
Exploring Operation: 21+36=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
5,
15,
92,
21
] | 61 | [
"15-5=10",
"92-21=71",
"71-10=61"
] | Current State: 61:[5, 15, 92, 21], Operations: []
Exploring Operation: 15-5=10, Resulting Numbers: [92, 21, 10]
Generated Node #2: [92, 21, 10] from Operation: 15-5=10
Current State: 61:[92, 21, 10], Operations: ['15-5=10']
Exploring Operation: 92-21=71, Resulting Numbers: [10, 71]
Generated Node #3: [10, 71] from Operation: 92-21=71
Current State: 61:[10, 71], Operations: ['15-5=10', '92-21=71']
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
68,
46,
80,
42
] | 97 | [
"46-42=4",
"68/4=17",
"80+17=97"
] | Current State: 97:[68, 46, 80, 42], Operations: []
Exploring Operation: 46-42=4, Resulting Numbers: [68, 80, 4]
Generated Node #2: [68, 80, 4] from Operation: 46-42=4
Current State: 97:[68, 80, 4], Operations: ['46-42=4']
Exploring Operation: 68/4=17, Resulting Numbers: [80, 17]
Generated Node #3: [80, 17] from Operation: 68/4=17
Current State: 97:[80, 17], Operations: ['46-42=4', '68/4=17']
Exploring Operation: 80+17=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
9,
46,
37,
48
] | 49 | [
"46-9=37",
"37/37=1",
"48+1=49"
] | Current State: 49:[9, 46, 37, 48], Operations: []
Exploring Operation: 46-9=37, Resulting Numbers: [37, 48, 37]
Generated Node #2: [37, 48, 37] from Operation: 46-9=37
Current State: 49:[37, 48, 37], Operations: ['46-9=37']
Exploring Operation: 37/37=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 37/37=1
Current State: 49:[48, 1], Operations: ['46-9=37', '37/37=1']
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
32,
65,
79,
28
] | 64 | [
"32*28=896",
"79-65=14",
"896/14=64"
] | Current State: 64:[32, 65, 79, 28], Operations: []
Exploring Operation: 32*28=896, Resulting Numbers: [65, 79, 896]
Generated Node #2: [65, 79, 896] from Operation: 32*28=896
Current State: 64:[65, 79, 896], Operations: ['32*28=896']
Exploring Operation: 79-65=14, Resulting Numbers: [896, 14]
Generated Node #3: [896, 14] from Operation: 79-65=14
Current State: 64:[896, 14], Operations: ['32*28=896', '79-65=14']
Exploring Operation: 896/14=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
4,
87,
86,
77
] | 74 | [
"87-4=83",
"86-77=9",
"83-9=74"
] | Current State: 74:[4, 87, 86, 77], Operations: []
Exploring Operation: 87-4=83, Resulting Numbers: [86, 77, 83]
Generated Node #2: [86, 77, 83] from Operation: 87-4=83
Current State: 74:[86, 77, 83], Operations: ['87-4=83']
Exploring Operation: 86-77=9, Resulting Numbers: [83, 9]
Generated Node #3: [83, 9] from Operation: 86-77=9
Current State: 74:[83, 9], Operations: ['87-4=83', '86-77=9']
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
2,
90,
27,
9
] | 90 | [
"27/9=3",
"3-2=1",
"90*1=90"
] | Current State: 90:[2, 90, 27, 9], Operations: []
Exploring Operation: 27/9=3, Resulting Numbers: [2, 90, 3]
Generated Node #2: [2, 90, 3] from Operation: 27/9=3
Current State: 90:[2, 90, 3], Operations: ['27/9=3']
Exploring Operation: 3-2=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 3-2=1
Current State: 90:[90, 1], Operations: ['27/9=3', '3-2=1']
Exploring Operation: 90*1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
44,
20,
80,
30
] | 88 | [
"80-20=60",
"44*60=2640",
"2640/30=88"
] | Current State: 88:[44, 20, 80, 30], Operations: []
Exploring Operation: 80-20=60, Resulting Numbers: [44, 30, 60]
Generated Node #2: [44, 30, 60] from Operation: 80-20=60
Current State: 88:[44, 30, 60], Operations: ['80-20=60']
Exploring Operation: 44*60=2640, Resulting Numbers: [30, 2640]
Generated Node #3: [30, 2640] from Operation: 44*60=2640
Current State: 88:[30, 2640], Operations: ['80-20=60', '44*60=2640']
Exploring Operation: 2640/30=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
81,
22,
13,
22
] | 69 | [
"81-13=68",
"22/22=1",
"68+1=69"
] | Current State: 69:[81, 22, 13, 22], Operations: []
Exploring Operation: 81-13=68, Resulting Numbers: [22, 22, 68]
Generated Node #2: [22, 22, 68] from Operation: 81-13=68
Current State: 69:[22, 22, 68], Operations: ['81-13=68']
Exploring Operation: 22/22=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 22/22=1
Current State: 69:[68, 1], Operations: ['81-13=68', '22/22=1']
Exploring Operation: 68+1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
6,
84,
13,
15
] | 33 | [
"15-6=9",
"13*9=117",
"117-84=33"
] | Current State: 33:[6, 84, 13, 15], Operations: []
Exploring Operation: 15-6=9, Resulting Numbers: [84, 13, 9]
Generated Node #2: [84, 13, 9] from Operation: 15-6=9
Current State: 33:[84, 13, 9], Operations: ['15-6=9']
Exploring Operation: 13*9=117, Resulting Numbers: [84, 117]
Generated Node #3: [84, 117] from Operation: 13*9=117
Current State: 33:[84, 117], Operations: ['15-6=9', '13*9=117']
Exploring Operation: 117-84=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
93,
86,
18,
52
] | 74 | [
"93-86=7",
"18*7=126",
"126-52=74"
] | Current State: 74:[93, 86, 18, 52], Operations: []
Exploring Operation: 93-86=7, Resulting Numbers: [18, 52, 7]
Generated Node #2: [18, 52, 7] from Operation: 93-86=7
Current State: 74:[18, 52, 7], Operations: ['93-86=7']
Exploring Operation: 18*7=126, Resulting Numbers: [52, 126]
Generated Node #3: [52, 126] from Operation: 18*7=126
Current State: 74:[52, 126], Operations: ['93-86=7', '18*7=126']
Exploring Operation: 126-52=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
36,
41,
35,
71
] | 65 | [
"41-35=6",
"36/6=6",
"71-6=65"
] | Current State: 65:[36, 41, 35, 71], Operations: []
Exploring Operation: 41-35=6, Resulting Numbers: [36, 71, 6]
Generated Node #2: [36, 71, 6] from Operation: 41-35=6
Current State: 65:[36, 71, 6], Operations: ['41-35=6']
Exploring Operation: 36/6=6, Resulting Numbers: [71, 6]
Generated Node #3: [71, 6] from Operation: 36/6=6
Current State: 65:[71, 6], Operations: ['41-35=6', '36/6=6']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
83,
53,
56,
40
] | 41 | [
"83+40=123",
"56-53=3",
"123/3=41"
] | Current State: 41:[83, 53, 56, 40], Operations: []
Exploring Operation: 83+40=123, Resulting Numbers: [53, 56, 123]
Generated Node #2: [53, 56, 123] from Operation: 83+40=123
Current State: 41:[53, 56, 123], Operations: ['83+40=123']
Exploring Operation: 56-53=3, Resulting Numbers: [123, 3]
Generated Node #3: [123, 3] from Operation: 56-53=3
Current State: 41:[123, 3], Operations: ['83+40=123', '56-53=3']
Exploring Operation: 123/3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
40,
38,
37,
23
] | 28 | [
"40-38=2",
"37-23=14",
"2*14=28"
] | Current State: 28:[40, 38, 37, 23], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [37, 23, 2]
Generated Node #2: [37, 23, 2] from Operation: 40-38=2
Current State: 28:[37, 23, 2], Operations: ['40-38=2']
Exploring Operation: 37-23=14, Resulting Numbers: [2, 14]
Generated Node #3: [2, 14] from Operation: 37-23=14
Current State: 28:[2, 14], Operations: ['40-38=2', '37-23=14']
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
39,
49,
15,
78
] | 19 | [
"78/39=2",
"15*2=30",
"49-30=19"
] | Current State: 19:[39, 49, 15, 78], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [49, 15, 2]
Generated Node #2: [49, 15, 2] from Operation: 78/39=2
Current State: 19:[49, 15, 2], Operations: ['78/39=2']
Exploring Operation: 15*2=30, Resulting Numbers: [49, 30]
Generated Node #3: [49, 30] from Operation: 15*2=30
Current State: 19:[49, 30], Operations: ['78/39=2', '15*2=30']
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
54,
80,
35,
3
] | 63 | [
"54/3=18",
"80-35=45",
"18+45=63"
] | Current State: 63:[54, 80, 35, 3], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [80, 35, 18]
Generated Node #2: [80, 35, 18] from Operation: 54/3=18
Current State: 63:[80, 35, 18], Operations: ['54/3=18']
Exploring Operation: 80-35=45, Resulting Numbers: [18, 45]
Generated Node #3: [18, 45] from Operation: 80-35=45
Current State: 63:[18, 45], Operations: ['54/3=18', '80-35=45']
Exploring Operation: 18+45=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
54,
56,
74,
53
] | 89 | [
"54+56=110",
"74-53=21",
"110-21=89"
] | Current State: 89:[54, 56, 74, 53], Operations: []
Exploring Operation: 54+56=110, Resulting Numbers: [74, 53, 110]
Generated Node #2: [74, 53, 110] from Operation: 54+56=110
Current State: 89:[74, 53, 110], Operations: ['54+56=110']
Exploring Operation: 74-53=21, Resulting Numbers: [110, 21]
Generated Node #3: [110, 21] from Operation: 74-53=21
Current State: 89:[110, 21], Operations: ['54+56=110', '74-53=21']
Exploring Operation: 110-21=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
2,
22,
35,
43
] | 98 | [
"22-2=20",
"35+43=78",
"20+78=98"
] | Current State: 98:[2, 22, 35, 43], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [35, 43, 20]
Generated Node #2: [35, 43, 20] from Operation: 22-2=20
Current State: 98:[35, 43, 20], Operations: ['22-2=20']
Exploring Operation: 35+43=78, Resulting Numbers: [20, 78]
Generated Node #3: [20, 78] from Operation: 35+43=78
Current State: 98:[20, 78], Operations: ['22-2=20', '35+43=78']
Exploring Operation: 20+78=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
52,
87,
46,
7
] | 45 | [
"52-46=6",
"7*6=42",
"87-42=45"
] | Current State: 45:[52, 87, 46, 7], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [87, 7, 6]
Generated Node #2: [87, 7, 6] from Operation: 52-46=6
Current State: 45:[87, 7, 6], Operations: ['52-46=6']
Exploring Operation: 7*6=42, Resulting Numbers: [87, 42]
Generated Node #3: [87, 42] from Operation: 7*6=42
Current State: 45:[87, 42], Operations: ['52-46=6', '7*6=42']
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
69,
86,
66,
89
] | 60 | [
"69*86=5934",
"66*89=5874",
"5934-5874=60"
] | Current State: 60:[69, 86, 66, 89], Operations: []
Exploring Operation: 69*86=5934, Resulting Numbers: [66, 89, 5934]
Generated Node #2: [66, 89, 5934] from Operation: 69*86=5934
Current State: 60:[66, 89, 5934], Operations: ['69*86=5934']
Exploring Operation: 66*89=5874, Resulting Numbers: [5934, 5874]
Generated Node #3: [5934, 5874] from Operation: 66*89=5874
Current State: 60:[5934, 5874], Operations: ['69*86=5934', '66*89=5874']
Exploring Operation: 5934-5874=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
30,
36,
42,
39
] | 60 | [
"36+42=78",
"30*78=2340",
"2340/39=60"
] | Current State: 60:[30, 36, 42, 39], Operations: []
Exploring Operation: 36+42=78, Resulting Numbers: [30, 39, 78]
Generated Node #2: [30, 39, 78] from Operation: 36+42=78
Current State: 60:[30, 39, 78], Operations: ['36+42=78']
Exploring Operation: 30*78=2340, Resulting Numbers: [39, 2340]
Generated Node #3: [39, 2340] from Operation: 30*78=2340
Current State: 60:[39, 2340], Operations: ['36+42=78', '30*78=2340']
Exploring Operation: 2340/39=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
82,
6,
20,
30
] | 38 | [
"82+6=88",
"20+30=50",
"88-50=38"
] | Current State: 38:[82, 6, 20, 30], Operations: []
Exploring Operation: 82+6=88, Resulting Numbers: [20, 30, 88]
Generated Node #2: [20, 30, 88] from Operation: 82+6=88
Current State: 38:[20, 30, 88], Operations: ['82+6=88']
Exploring Operation: 20+30=50, Resulting Numbers: [88, 50]
Generated Node #3: [88, 50] from Operation: 20+30=50
Current State: 38:[88, 50], Operations: ['82+6=88', '20+30=50']
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
11,
39,
6,
78
] | 41 | [
"39-11=28",
"78/6=13",
"28+13=41"
] | Current State: 41:[11, 39, 6, 78], Operations: []
Exploring Operation: 39-11=28, Resulting Numbers: [6, 78, 28]
Generated Node #2: [6, 78, 28] from Operation: 39-11=28
Current State: 41:[6, 78, 28], Operations: ['39-11=28']
Exploring Operation: 78/6=13, Resulting Numbers: [28, 13]
Generated Node #3: [28, 13] from Operation: 78/6=13
Current State: 41:[28, 13], Operations: ['39-11=28', '78/6=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
3,
87,
57,
51
] | 96 | [
"3+87=90",
"57-51=6",
"90+6=96"
] | Current State: 96:[3, 87, 57, 51], Operations: []
Exploring Operation: 3+87=90, Resulting Numbers: [57, 51, 90]
Generated Node #2: [57, 51, 90] from Operation: 3+87=90
Current State: 96:[57, 51, 90], Operations: ['3+87=90']
Exploring Operation: 57-51=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 57-51=6
Current State: 96:[90, 6], Operations: ['3+87=90', '57-51=6']
Exploring Operation: 90+6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
8,
23,
16,
69
] | 56 | [
"69/23=3",
"16*3=48",
"8+48=56"
] | Current State: 56:[8, 23, 16, 69], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [8, 16, 3]
Generated Node #2: [8, 16, 3] from Operation: 69/23=3
Current State: 56:[8, 16, 3], Operations: ['69/23=3']
Exploring Operation: 16*3=48, Resulting Numbers: [8, 48]
Generated Node #3: [8, 48] from Operation: 16*3=48
Current State: 56:[8, 48], Operations: ['69/23=3', '16*3=48']
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
55,
64,
64,
5
] | 19 | [
"64-55=9",
"5*9=45",
"64-45=19"
] | Current State: 19:[55, 64, 64, 5], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [5, 9]
Generated Node #2: [5, 9] from Operation: 64-55=9
Current State: 19:[5, 9], Operations: ['64-55=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,19 equal: Goal Reached
Exploring Operation: 64-45=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
7,
18,
47,
86
] | 87 | [
"7*18=126",
"86-47=39",
"126-39=87"
] | Current State: 87:[7, 18, 47, 86], Operations: []
Exploring Operation: 7*18=126, Resulting Numbers: [47, 86, 126]
Generated Node #2: [47, 86, 126] from Operation: 7*18=126
Current State: 87:[47, 86, 126], Operations: ['7*18=126']
Exploring Operation: 86-47=39, Resulting Numbers: [126, 39]
Generated Node #3: [126, 39] from Operation: 86-47=39
Current State: 87:[126, 39], Operations: ['7*18=126', '86-47=39']
Exploring Operation: 126-39=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
10,
71,
60,
83
] | 15 | [
"83-71=12",
"60/12=5",
"10+5=15"
] | Current State: 15:[10, 71, 60, 83], Operations: []
Exploring Operation: 83-71=12, Resulting Numbers: [10, 60, 12]
Generated Node #2: [10, 60, 12] from Operation: 83-71=12
Current State: 15:[10, 60, 12], Operations: ['83-71=12']
Exploring Operation: 60/12=5, Resulting Numbers: [10, 5]
Generated Node #3: [10, 5] from Operation: 60/12=5
Current State: 15:[10, 5], Operations: ['83-71=12', '60/12=5']
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
3,
26,
54,
18
] | 25 | [
"54/3=18",
"18/18=1",
"26-1=25"
] | Current State: 25:[3, 26, 54, 18], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [26, 18, 18]
Generated Node #2: [26, 18, 18] from Operation: 54/3=18
Current State: 25:[26, 18, 18], Operations: ['54/3=18']
Exploring Operation: 18/18=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 18/18=1
Current State: 25:[26, 1], Operations: ['54/3=18', '18/18=1']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
63,
18,
80,
49
] | 50 | [
"63+18=81",
"80-49=31",
"81-31=50"
] | Current State: 50:[63, 18, 80, 49], Operations: []
Exploring Operation: 63+18=81, Resulting Numbers: [80, 49, 81]
Generated Node #2: [80, 49, 81] from Operation: 63+18=81
Current State: 50:[80, 49, 81], Operations: ['63+18=81']
Exploring Operation: 80-49=31, Resulting Numbers: [81, 31]
Generated Node #3: [81, 31] from Operation: 80-49=31
Current State: 50:[81, 31], Operations: ['63+18=81', '80-49=31']
Exploring Operation: 81-31=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
40,
8,
43,
24
] | 77 | [
"40/8=5",
"24*5=120",
"120-43=77"
] | Current State: 77:[40, 8, 43, 24], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [43, 24, 5]
Generated Node #2: [43, 24, 5] from Operation: 40/8=5
Current State: 77:[43, 24, 5], Operations: ['40/8=5']
Exploring Operation: 24*5=120, Resulting Numbers: [43, 120]
Generated Node #3: [43, 120] from Operation: 24*5=120
Current State: 77:[43, 120], Operations: ['40/8=5', '24*5=120']
Exploring Operation: 120-43=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
72,
22,
90,
27
] | 67 | [
"72-22=50",
"90+27=117",
"117-50=67"
] | Current State: 67:[72, 22, 90, 27], Operations: []
Exploring Operation: 72-22=50, Resulting Numbers: [90, 27, 50]
Generated Node #2: [90, 27, 50] from Operation: 72-22=50
Current State: 67:[90, 27, 50], Operations: ['72-22=50']
Exploring Operation: 90+27=117, Resulting Numbers: [50, 117]
Generated Node #3: [50, 117] from Operation: 90+27=117
Current State: 67:[50, 117], Operations: ['72-22=50', '90+27=117']
Exploring Operation: 117-50=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
53,
35,
34,
32
] | 16 | [
"53-35=18",
"34-32=2",
"18-2=16"
] | Current State: 16:[53, 35, 34, 32], Operations: []
Exploring Operation: 53-35=18, Resulting Numbers: [34, 32, 18]
Generated Node #2: [34, 32, 18] from Operation: 53-35=18
Current State: 16:[34, 32, 18], Operations: ['53-35=18']
Exploring Operation: 34-32=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 34-32=2
Current State: 16:[18, 2], Operations: ['53-35=18', '34-32=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
45,
31,
45,
96
] | 37 | [
"45-31=14",
"96-45=51",
"51-14=37"
] | Current State: 37:[45, 31, 45, 96], Operations: []
Exploring Operation: 45-31=14, Resulting Numbers: [96, 14]
Generated Node #2: [96, 14] from Operation: 45-31=14
Current State: 37:[96, 14], Operations: ['45-31=14']
Exploring Operation: 96-45=51, Resulting Numbers: [14, 51]
Generated Node #3: [14, 51] from Operation: 96-45=51
Current State: 37:[14, 51], Operations: ['45-31=14', '96-45=51']
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
64,
55,
46,
20
] | 75 | [
"64-55=9",
"46+20=66",
"9+66=75"
] | Current State: 75:[64, 55, 46, 20], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [46, 20, 9]
Generated Node #2: [46, 20, 9] from Operation: 64-55=9
Current State: 75:[46, 20, 9], Operations: ['64-55=9']
Exploring Operation: 46+20=66, Resulting Numbers: [9, 66]
Generated Node #3: [9, 66] from Operation: 46+20=66
Current State: 75:[9, 66], Operations: ['64-55=9', '46+20=66']
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
76,
11,
66,
89
] | 81 | [
"76+89=165",
"165/11=15",
"66+15=81"
] | Current State: 81:[76, 11, 66, 89], Operations: []
Exploring Operation: 76+89=165, Resulting Numbers: [11, 66, 165]
Generated Node #2: [11, 66, 165] from Operation: 76+89=165
Current State: 81:[11, 66, 165], Operations: ['76+89=165']
Exploring Operation: 165/11=15, Resulting Numbers: [66, 15]
Generated Node #3: [66, 15] from Operation: 165/11=15
Current State: 81:[66, 15], Operations: ['76+89=165', '165/11=15']
Exploring Operation: 66+15=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
51,
54,
58,
28
] | 19 | [
"51+54=105",
"58+28=86",
"105-86=19"
] | Current State: 19:[51, 54, 58, 28], Operations: []
Exploring Operation: 51+54=105, Resulting Numbers: [58, 28, 105]
Generated Node #2: [58, 28, 105] from Operation: 51+54=105
Current State: 19:[58, 28, 105], Operations: ['51+54=105']
Exploring Operation: 58+28=86, Resulting Numbers: [105, 86]
Generated Node #3: [105, 86] from Operation: 58+28=86
Current State: 19:[105, 86], Operations: ['51+54=105', '58+28=86']
Exploring Operation: 105-86=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
92,
74,
55,
96
] | 76 | [
"96-92=4",
"74-55=19",
"4*19=76"
] | Current State: 76:[92, 74, 55, 96], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [74, 55, 4]
Generated Node #2: [74, 55, 4] from Operation: 96-92=4
Current State: 76:[74, 55, 4], Operations: ['96-92=4']
Exploring Operation: 74-55=19, Resulting Numbers: [4, 19]
Generated Node #3: [4, 19] from Operation: 74-55=19
Current State: 76:[4, 19], Operations: ['96-92=4', '74-55=19']
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
76,
71,
79,
43
] | 31 | [
"76-71=5",
"79-43=36",
"36-5=31"
] | Current State: 31:[76, 71, 79, 43], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [79, 43, 5]
Generated Node #2: [79, 43, 5] from Operation: 76-71=5
Current State: 31:[79, 43, 5], Operations: ['76-71=5']
Exploring Operation: 79-43=36, Resulting Numbers: [5, 36]
Generated Node #3: [5, 36] from Operation: 79-43=36
Current State: 31:[5, 36], Operations: ['76-71=5', '79-43=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
18,
83,
59,
67
] | 61 | [
"83-18=65",
"59+67=126",
"126-65=61"
] | Current State: 61:[18, 83, 59, 67], Operations: []
Exploring Operation: 83-18=65, Resulting Numbers: [59, 67, 65]
Generated Node #2: [59, 67, 65] from Operation: 83-18=65
Current State: 61:[59, 67, 65], Operations: ['83-18=65']
Exploring Operation: 59+67=126, Resulting Numbers: [65, 126]
Generated Node #3: [65, 126] from Operation: 59+67=126
Current State: 61:[65, 126], Operations: ['83-18=65', '59+67=126']
Exploring Operation: 126-65=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
40,
31,
2,
25
] | 94 | [
"40+31=71",
"25-2=23",
"71+23=94"
] | Current State: 94:[40, 31, 2, 25], Operations: []
Exploring Operation: 40+31=71, Resulting Numbers: [2, 25, 71]
Generated Node #2: [2, 25, 71] from Operation: 40+31=71
Current State: 94:[2, 25, 71], Operations: ['40+31=71']
Exploring Operation: 25-2=23, Resulting Numbers: [71, 23]
Generated Node #3: [71, 23] from Operation: 25-2=23
Current State: 94:[71, 23], Operations: ['40+31=71', '25-2=23']
Exploring Operation: 71+23=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
63,
51,
58,
90
] | 99 | [
"58-51=7",
"63/7=9",
"90+9=99"
] | Current State: 99:[63, 51, 58, 90], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [63, 90, 7]
Generated Node #2: [63, 90, 7] from Operation: 58-51=7
Current State: 99:[63, 90, 7], Operations: ['58-51=7']
Exploring Operation: 63/7=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 63/7=9
Current State: 99:[90, 9], Operations: ['58-51=7', '63/7=9']
Exploring Operation: 90+9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
31,
68,
11,
33
] | 12 | [
"31+68=99",
"33+99=132",
"132/11=12"
] | Current State: 12:[31, 68, 11, 33], Operations: []
Exploring Operation: 31+68=99, Resulting Numbers: [11, 33, 99]
Generated Node #2: [11, 33, 99] from Operation: 31+68=99
Current State: 12:[11, 33, 99], Operations: ['31+68=99']
Exploring Operation: 33+99=132, Resulting Numbers: [11, 132]
Generated Node #3: [11, 132] from Operation: 33+99=132
Current State: 12:[11, 132], Operations: ['31+68=99', '33+99=132']
Exploring Operation: 132/11=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
73,
82,
8,
86
] | 61 | [
"73+82=155",
"8+86=94",
"155-94=61"
] | Current State: 61:[73, 82, 8, 86], Operations: []
Exploring Operation: 73+82=155, Resulting Numbers: [8, 86, 155]
Generated Node #2: [8, 86, 155] from Operation: 73+82=155
Current State: 61:[8, 86, 155], Operations: ['73+82=155']
Exploring Operation: 8+86=94, Resulting Numbers: [155, 94]
Generated Node #3: [155, 94] from Operation: 8+86=94
Current State: 61:[155, 94], Operations: ['73+82=155', '8+86=94']
Exploring Operation: 155-94=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
28,
91,
43,
2
] | 62 | [
"28/2=14",
"91-43=48",
"14+48=62"
] | Current State: 62:[28, 91, 43, 2], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [91, 43, 14]
Generated Node #2: [91, 43, 14] from Operation: 28/2=14
Current State: 62:[91, 43, 14], Operations: ['28/2=14']
Exploring Operation: 91-43=48, Resulting Numbers: [14, 48]
Generated Node #3: [14, 48] from Operation: 91-43=48
Current State: 62:[14, 48], Operations: ['28/2=14', '91-43=48']
Exploring Operation: 14+48=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
49,
21,
37,
54
] | 21 | [
"49+21=70",
"37+54=91",
"91-70=21"
] | Current State: 21:[49, 21, 37, 54], Operations: []
Exploring Operation: 49+21=70, Resulting Numbers: [37, 54, 70]
Generated Node #2: [37, 54, 70] from Operation: 49+21=70
Current State: 21:[37, 54, 70], Operations: ['49+21=70']
Exploring Operation: 37+54=91, Resulting Numbers: [70, 91]
Generated Node #3: [70, 91] from Operation: 37+54=91
Current State: 21:[70, 91], Operations: ['49+21=70', '37+54=91']
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
40,
19,
78,
20
] | 42 | [
"19+20=39",
"78/39=2",
"40+2=42"
] | Current State: 42:[40, 19, 78, 20], Operations: []
Exploring Operation: 19+20=39, Resulting Numbers: [40, 78, 39]
Generated Node #2: [40, 78, 39] from Operation: 19+20=39
Current State: 42:[40, 78, 39], Operations: ['19+20=39']
Exploring Operation: 78/39=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 78/39=2
Current State: 42:[40, 2], Operations: ['19+20=39', '78/39=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
60,
95,
24,
22
] | 65 | [
"24-22=2",
"60/2=30",
"95-30=65"
] | Current State: 65:[60, 95, 24, 22], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [60, 95, 2]
Generated Node #2: [60, 95, 2] from Operation: 24-22=2
Current State: 65:[60, 95, 2], Operations: ['24-22=2']
Exploring Operation: 60/2=30, Resulting Numbers: [95, 30]
Generated Node #3: [95, 30] from Operation: 60/2=30
Current State: 65:[95, 30], Operations: ['24-22=2', '60/2=30']
Exploring Operation: 95-30=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
71,
78,
48,
86
] | 65 | [
"86-78=8",
"48/8=6",
"71-6=65"
] | Current State: 65:[71, 78, 48, 86], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [71, 48, 8]
Generated Node #2: [71, 48, 8] from Operation: 86-78=8
Current State: 65:[71, 48, 8], Operations: ['86-78=8']
Exploring Operation: 48/8=6, Resulting Numbers: [71, 6]
Generated Node #3: [71, 6] from Operation: 48/8=6
Current State: 65:[71, 6], Operations: ['86-78=8', '48/8=6']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
24,
7,
68,
45
] | 71 | [
"45-24=21",
"21/7=3",
"68+3=71"
] | Current State: 71:[24, 7, 68, 45], Operations: []
Exploring Operation: 45-24=21, Resulting Numbers: [7, 68, 21]
Generated Node #2: [7, 68, 21] from Operation: 45-24=21
Current State: 71:[7, 68, 21], Operations: ['45-24=21']
Exploring Operation: 21/7=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 21/7=3
Current State: 71:[68, 3], Operations: ['45-24=21', '21/7=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
17,
1,
26,
40
] | 49 | [
"17*1=17",
"26+40=66",
"66-17=49"
] | Current State: 49:[17, 1, 26, 40], Operations: []
Exploring Operation: 17*1=17, Resulting Numbers: [26, 40, 17]
Generated Node #2: [26, 40, 17] from Operation: 17*1=17
Current State: 49:[26, 40, 17], Operations: ['17*1=17']
Exploring Operation: 26+40=66, Resulting Numbers: [17, 66]
Generated Node #3: [17, 66] from Operation: 26+40=66
Current State: 49:[17, 66], Operations: ['17*1=17', '26+40=66']
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
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