nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
24,
75,
78,
38
] | 45 | [
"24*75=1800",
"78-38=40",
"1800/40=45"
] | Current State: 45:[24, 75, 78, 38], Operations: []
Exploring Operation: 24*75=1800, Resulting Numbers: [78, 38, 1800]
Generated Node #2: [78, 38, 1800] from Operation: 24*75=1800
Current State: 45:[78, 38, 1800], Operations: ['24*75=1800']
Exploring Operation: 78-38=40, Resulting Numbers: [1800, 40]
Generated Node #3: [1800, 40] from Operation: 78-38=40
Current State: 45:[1800, 40], Operations: ['24*75=1800', '78-38=40']
Exploring Operation: 1800/40=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
65,
1,
49,
98
] | 65 | [
"98/49=2",
"2-1=1",
"65*1=65"
] | Current State: 65:[65, 1, 49, 98], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [65, 1, 2]
Generated Node #2: [65, 1, 2] from Operation: 98/49=2
Current State: 65:[65, 1, 2], Operations: ['98/49=2']
Exploring Operation: 2-1=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 2-1=1
Current State: 65:[65, 1], Operations: ['98/49=2', '2-1=1']
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
15,
51,
8,
4
] | 62 | [
"15+51=66",
"8-4=4",
"66-4=62"
] | Current State: 62:[15, 51, 8, 4], Operations: []
Exploring Operation: 15+51=66, Resulting Numbers: [8, 4, 66]
Generated Node #2: [8, 4, 66] from Operation: 15+51=66
Current State: 62:[8, 4, 66], Operations: ['15+51=66']
Exploring Operation: 8-4=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 8-4=4
Current State: 62:[66, 4], Operations: ['15+51=66', '8-4=4']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
29,
18,
99,
16
] | 59 | [
"99*16=1584",
"1584/18=88",
"88-29=59"
] | Current State: 59:[29, 18, 99, 16], Operations: []
Exploring Operation: 99*16=1584, Resulting Numbers: [29, 18, 1584]
Generated Node #2: [29, 18, 1584] from Operation: 99*16=1584
Current State: 59:[29, 18, 1584], Operations: ['99*16=1584']
Exploring Operation: 1584/18=88, Resulting Numbers: [29, 88]
Generated Node #3: [29, 88] from Operation: 1584/18=88
Current State: 59:[29, 88], Operations: ['99*16=1584', '1584/18=88']
Exploring Operation: 88-29=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
91,
20,
44,
87
] | 39 | [
"91-87=4",
"20/4=5",
"44-5=39"
] | Current State: 39:[91, 20, 44, 87], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [20, 44, 4]
Generated Node #2: [20, 44, 4] from Operation: 91-87=4
Current State: 39:[20, 44, 4], Operations: ['91-87=4']
Exploring Operation: 20/4=5, Resulting Numbers: [44, 5]
Generated Node #3: [44, 5] from Operation: 20/4=5
Current State: 39:[44, 5], Operations: ['91-87=4', '20/4=5']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
54,
73,
72,
10
] | 65 | [
"54+73=127",
"72-10=62",
"127-62=65"
] | Current State: 65:[54, 73, 72, 10], Operations: []
Exploring Operation: 54+73=127, Resulting Numbers: [72, 10, 127]
Generated Node #2: [72, 10, 127] from Operation: 54+73=127
Current State: 65:[72, 10, 127], Operations: ['54+73=127']
Exploring Operation: 72-10=62, Resulting Numbers: [127, 62]
Generated Node #3: [127, 62] from Operation: 72-10=62
Current State: 65:[127, 62], Operations: ['54+73=127', '72-10=62']
Exploring Operation: 127-62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
15,
77,
62,
11
] | 43 | [
"15*77=1155",
"1155/11=105",
"105-62=43"
] | Current State: 43:[15, 77, 62, 11], Operations: []
Exploring Operation: 15*77=1155, Resulting Numbers: [62, 11, 1155]
Generated Node #2: [62, 11, 1155] from Operation: 15*77=1155
Current State: 43:[62, 11, 1155], Operations: ['15*77=1155']
Exploring Operation: 1155/11=105, Resulting Numbers: [62, 105]
Generated Node #3: [62, 105] from Operation: 1155/11=105
Current State: 43:[62, 105], Operations: ['15*77=1155', '1155/11=105']
Exploring Operation: 105-62=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
91,
13,
10,
16
] | 33 | [
"91/13=7",
"10+16=26",
"7+26=33"
] | Current State: 33:[91, 13, 10, 16], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [10, 16, 7]
Generated Node #2: [10, 16, 7] from Operation: 91/13=7
Current State: 33:[10, 16, 7], Operations: ['91/13=7']
Exploring Operation: 10+16=26, Resulting Numbers: [7, 26]
Generated Node #3: [7, 26] from Operation: 10+16=26
Current State: 33:[7, 26], Operations: ['91/13=7', '10+16=26']
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
80,
86,
50,
47
] | 42 | [
"80*50=4000",
"86*47=4042",
"4042-4000=42"
] | Current State: 42:[80, 86, 50, 47], Operations: []
Exploring Operation: 80*50=4000, Resulting Numbers: [86, 47, 4000]
Generated Node #2: [86, 47, 4000] from Operation: 80*50=4000
Current State: 42:[86, 47, 4000], Operations: ['80*50=4000']
Exploring Operation: 86*47=4042, Resulting Numbers: [4000, 4042]
Generated Node #3: [4000, 4042] from Operation: 86*47=4042
Current State: 42:[4000, 4042], Operations: ['80*50=4000', '86*47=4042']
Exploring Operation: 4042-4000=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
77,
15,
35,
50
] | 63 | [
"77-50=27",
"35*27=945",
"945/15=63"
] | Current State: 63:[77, 15, 35, 50], Operations: []
Exploring Operation: 77-50=27, Resulting Numbers: [15, 35, 27]
Generated Node #2: [15, 35, 27] from Operation: 77-50=27
Current State: 63:[15, 35, 27], Operations: ['77-50=27']
Exploring Operation: 35*27=945, Resulting Numbers: [15, 945]
Generated Node #3: [15, 945] from Operation: 35*27=945
Current State: 63:[15, 945], Operations: ['77-50=27', '35*27=945']
Exploring Operation: 945/15=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
51,
4,
13,
34
] | 55 | [
"51-34=17",
"4*17=68",
"68-13=55"
] | Current State: 55:[51, 4, 13, 34], Operations: []
Exploring Operation: 51-34=17, Resulting Numbers: [4, 13, 17]
Generated Node #2: [4, 13, 17] from Operation: 51-34=17
Current State: 55:[4, 13, 17], Operations: ['51-34=17']
Exploring Operation: 4*17=68, Resulting Numbers: [13, 68]
Generated Node #3: [13, 68] from Operation: 4*17=68
Current State: 55:[13, 68], Operations: ['51-34=17', '4*17=68']
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
11,
71,
20,
70
] | 73 | [
"71-11=60",
"60/20=3",
"70+3=73"
] | Current State: 73:[11, 71, 20, 70], Operations: []
Exploring Operation: 71-11=60, Resulting Numbers: [20, 70, 60]
Generated Node #2: [20, 70, 60] from Operation: 71-11=60
Current State: 73:[20, 70, 60], Operations: ['71-11=60']
Exploring Operation: 60/20=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 60/20=3
Current State: 73:[70, 3], Operations: ['71-11=60', '60/20=3']
Exploring Operation: 70+3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
40,
78,
51,
9
] | 21 | [
"51-40=11",
"9*11=99",
"99-78=21"
] | Current State: 21:[40, 78, 51, 9], Operations: []
Exploring Operation: 51-40=11, Resulting Numbers: [78, 9, 11]
Generated Node #2: [78, 9, 11] from Operation: 51-40=11
Current State: 21:[78, 9, 11], Operations: ['51-40=11']
Exploring Operation: 9*11=99, Resulting Numbers: [78, 99]
Generated Node #3: [78, 99] from Operation: 9*11=99
Current State: 21:[78, 99], Operations: ['51-40=11', '9*11=99']
Exploring Operation: 99-78=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
37,
10,
55,
23
] | 85 | [
"37-23=14",
"10*14=140",
"140-55=85"
] | Current State: 85:[37, 10, 55, 23], Operations: []
Exploring Operation: 37-23=14, Resulting Numbers: [10, 55, 14]
Generated Node #2: [10, 55, 14] from Operation: 37-23=14
Current State: 85:[10, 55, 14], Operations: ['37-23=14']
Exploring Operation: 10*14=140, Resulting Numbers: [55, 140]
Generated Node #3: [55, 140] from Operation: 10*14=140
Current State: 85:[55, 140], Operations: ['37-23=14', '10*14=140']
Exploring Operation: 140-55=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
5,
43,
74,
70
] | 52 | [
"5+43=48",
"74-70=4",
"48+4=52"
] | Current State: 52:[5, 43, 74, 70], Operations: []
Exploring Operation: 5+43=48, Resulting Numbers: [74, 70, 48]
Generated Node #2: [74, 70, 48] from Operation: 5+43=48
Current State: 52:[74, 70, 48], Operations: ['5+43=48']
Exploring Operation: 74-70=4, Resulting Numbers: [48, 4]
Generated Node #3: [48, 4] from Operation: 74-70=4
Current State: 52:[48, 4], Operations: ['5+43=48', '74-70=4']
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
91,
53,
37,
64
] | 95 | [
"53-37=16",
"64/16=4",
"91+4=95"
] | Current State: 95:[91, 53, 37, 64], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [91, 64, 16]
Generated Node #2: [91, 64, 16] from Operation: 53-37=16
Current State: 95:[91, 64, 16], Operations: ['53-37=16']
Exploring Operation: 64/16=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 64/16=4
Current State: 95:[91, 4], Operations: ['53-37=16', '64/16=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
33,
31,
14,
60
] | 18 | [
"33+31=64",
"60-14=46",
"64-46=18"
] | Current State: 18:[33, 31, 14, 60], Operations: []
Exploring Operation: 33+31=64, Resulting Numbers: [14, 60, 64]
Generated Node #2: [14, 60, 64] from Operation: 33+31=64
Current State: 18:[14, 60, 64], Operations: ['33+31=64']
Exploring Operation: 60-14=46, Resulting Numbers: [64, 46]
Generated Node #3: [64, 46] from Operation: 60-14=46
Current State: 18:[64, 46], Operations: ['33+31=64', '60-14=46']
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
73,
93,
49,
12
] | 57 | [
"93-73=20",
"49-12=37",
"20+37=57"
] | Current State: 57:[73, 93, 49, 12], Operations: []
Exploring Operation: 93-73=20, Resulting Numbers: [49, 12, 20]
Generated Node #2: [49, 12, 20] from Operation: 93-73=20
Current State: 57:[49, 12, 20], Operations: ['93-73=20']
Exploring Operation: 49-12=37, Resulting Numbers: [20, 37]
Generated Node #3: [20, 37] from Operation: 49-12=37
Current State: 57:[20, 37], Operations: ['93-73=20', '49-12=37']
Exploring Operation: 20+37=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
23,
43,
6,
39
] | 46 | [
"43-6=37",
"39-37=2",
"23*2=46"
] | Current State: 46:[23, 43, 6, 39], Operations: []
Exploring Operation: 43-6=37, Resulting Numbers: [23, 39, 37]
Generated Node #2: [23, 39, 37] from Operation: 43-6=37
Current State: 46:[23, 39, 37], Operations: ['43-6=37']
Exploring Operation: 39-37=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 39-37=2
Current State: 46:[23, 2], Operations: ['43-6=37', '39-37=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
79,
67,
86,
72
] | 74 | [
"79*72=5688",
"67*86=5762",
"5762-5688=74"
] | Current State: 74:[79, 67, 86, 72], Operations: []
Exploring Operation: 79*72=5688, Resulting Numbers: [67, 86, 5688]
Generated Node #2: [67, 86, 5688] from Operation: 79*72=5688
Current State: 74:[67, 86, 5688], Operations: ['79*72=5688']
Exploring Operation: 67*86=5762, Resulting Numbers: [5688, 5762]
Generated Node #3: [5688, 5762] from Operation: 67*86=5762
Current State: 74:[5688, 5762], Operations: ['79*72=5688', '67*86=5762']
Exploring Operation: 5762-5688=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
22,
9,
44,
50
] | 25 | [
"22+9=31",
"50-44=6",
"31-6=25"
] | Current State: 25:[22, 9, 44, 50], Operations: []
Exploring Operation: 22+9=31, Resulting Numbers: [44, 50, 31]
Generated Node #2: [44, 50, 31] from Operation: 22+9=31
Current State: 25:[44, 50, 31], Operations: ['22+9=31']
Exploring Operation: 50-44=6, Resulting Numbers: [31, 6]
Generated Node #3: [31, 6] from Operation: 50-44=6
Current State: 25:[31, 6], Operations: ['22+9=31', '50-44=6']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
73,
71,
56,
76
] | 66 | [
"73-71=2",
"56+76=132",
"132/2=66"
] | Current State: 66:[73, 71, 56, 76], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [56, 76, 2]
Generated Node #2: [56, 76, 2] from Operation: 73-71=2
Current State: 66:[56, 76, 2], Operations: ['73-71=2']
Exploring Operation: 56+76=132, Resulting Numbers: [2, 132]
Generated Node #3: [2, 132] from Operation: 56+76=132
Current State: 66:[2, 132], Operations: ['73-71=2', '56+76=132']
Exploring Operation: 132/2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
44,
97,
71,
59
] | 41 | [
"97-44=53",
"71-59=12",
"53-12=41"
] | Current State: 41:[44, 97, 71, 59], Operations: []
Exploring Operation: 97-44=53, Resulting Numbers: [71, 59, 53]
Generated Node #2: [71, 59, 53] from Operation: 97-44=53
Current State: 41:[71, 59, 53], Operations: ['97-44=53']
Exploring Operation: 71-59=12, Resulting Numbers: [53, 12]
Generated Node #3: [53, 12] from Operation: 71-59=12
Current State: 41:[53, 12], Operations: ['97-44=53', '71-59=12']
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
90,
25,
99,
89
] | 36 | [
"99-89=10",
"90*10=900",
"900/25=36"
] | Current State: 36:[90, 25, 99, 89], Operations: []
Exploring Operation: 99-89=10, Resulting Numbers: [90, 25, 10]
Generated Node #2: [90, 25, 10] from Operation: 99-89=10
Current State: 36:[90, 25, 10], Operations: ['99-89=10']
Exploring Operation: 90*10=900, Resulting Numbers: [25, 900]
Generated Node #3: [25, 900] from Operation: 90*10=900
Current State: 36:[25, 900], Operations: ['99-89=10', '90*10=900']
Exploring Operation: 900/25=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
93,
4,
43,
43
] | 28 | [
"93-43=50",
"50-43=7",
"4*7=28"
] | Current State: 28:[93, 4, 43, 43], Operations: []
Exploring Operation: 93-43=50, Resulting Numbers: [4, 50]
Generated Node #2: [4, 50] from Operation: 93-43=50
Current State: 28:[4, 50], Operations: ['93-43=50']
Exploring Operation: 50-43=7, Resulting Numbers: [4, 7]
Generated Node #3: [4, 7] from Operation: 50-43=7
Current State: 28:[4, 7], Operations: ['93-43=50', '50-43=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
88,
44,
50,
92
] | 86 | [
"88-44=44",
"92-50=42",
"44+42=86"
] | Current State: 86:[88, 44, 50, 92], Operations: []
Exploring Operation: 88-44=44, Resulting Numbers: [50, 92, 44]
Generated Node #2: [50, 92, 44] from Operation: 88-44=44
Current State: 86:[50, 92, 44], Operations: ['88-44=44']
Exploring Operation: 92-50=42, Resulting Numbers: [44, 42]
Generated Node #3: [44, 42] from Operation: 92-50=42
Current State: 86:[44, 42], Operations: ['88-44=44', '92-50=42']
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
86,
69,
8,
48
] | 99 | [
"86+69=155",
"8+48=56",
"155-56=99"
] | Current State: 99:[86, 69, 8, 48], Operations: []
Exploring Operation: 86+69=155, Resulting Numbers: [8, 48, 155]
Generated Node #2: [8, 48, 155] from Operation: 86+69=155
Current State: 99:[8, 48, 155], Operations: ['86+69=155']
Exploring Operation: 8+48=56, Resulting Numbers: [155, 56]
Generated Node #3: [155, 56] from Operation: 8+48=56
Current State: 99:[155, 56], Operations: ['86+69=155', '8+48=56']
Exploring Operation: 155-56=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
35,
7,
65,
91
] | 54 | [
"35-7=28",
"91-65=26",
"28+26=54"
] | Current State: 54:[35, 7, 65, 91], Operations: []
Exploring Operation: 35-7=28, Resulting Numbers: [65, 91, 28]
Generated Node #2: [65, 91, 28] from Operation: 35-7=28
Current State: 54:[65, 91, 28], Operations: ['35-7=28']
Exploring Operation: 91-65=26, Resulting Numbers: [28, 26]
Generated Node #3: [28, 26] from Operation: 91-65=26
Current State: 54:[28, 26], Operations: ['35-7=28', '91-65=26']
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
58,
54,
28,
6
] | 38 | [
"58-54=4",
"28+6=34",
"4+34=38"
] | Current State: 38:[58, 54, 28, 6], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [28, 6, 4]
Generated Node #2: [28, 6, 4] from Operation: 58-54=4
Current State: 38:[28, 6, 4], Operations: ['58-54=4']
Exploring Operation: 28+6=34, Resulting Numbers: [4, 34]
Generated Node #3: [4, 34] from Operation: 28+6=34
Current State: 38:[4, 34], Operations: ['58-54=4', '28+6=34']
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
10,
13,
27,
62
] | 38 | [
"13-10=3",
"62-27=35",
"3+35=38"
] | Current State: 38:[10, 13, 27, 62], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [27, 62, 3]
Generated Node #2: [27, 62, 3] from Operation: 13-10=3
Current State: 38:[27, 62, 3], Operations: ['13-10=3']
Exploring Operation: 62-27=35, Resulting Numbers: [3, 35]
Generated Node #3: [3, 35] from Operation: 62-27=35
Current State: 38:[3, 35], Operations: ['13-10=3', '62-27=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
10,
15,
69,
65
] | 56 | [
"15-10=5",
"65/5=13",
"69-13=56"
] | Current State: 56:[10, 15, 69, 65], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [69, 65, 5]
Generated Node #2: [69, 65, 5] from Operation: 15-10=5
Current State: 56:[69, 65, 5], Operations: ['15-10=5']
Exploring Operation: 65/5=13, Resulting Numbers: [69, 13]
Generated Node #3: [69, 13] from Operation: 65/5=13
Current State: 56:[69, 13], Operations: ['15-10=5', '65/5=13']
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
12,
73,
55,
68
] | 48 | [
"73-12=61",
"68-55=13",
"61-13=48"
] | Current State: 48:[12, 73, 55, 68], Operations: []
Exploring Operation: 73-12=61, Resulting Numbers: [55, 68, 61]
Generated Node #2: [55, 68, 61] from Operation: 73-12=61
Current State: 48:[55, 68, 61], Operations: ['73-12=61']
Exploring Operation: 68-55=13, Resulting Numbers: [61, 13]
Generated Node #3: [61, 13] from Operation: 68-55=13
Current State: 48:[61, 13], Operations: ['73-12=61', '68-55=13']
Exploring Operation: 61-13=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
81,
32,
55,
86
] | 43 | [
"86-81=5",
"55/5=11",
"32+11=43"
] | Current State: 43:[81, 32, 55, 86], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [32, 55, 5]
Generated Node #2: [32, 55, 5] from Operation: 86-81=5
Current State: 43:[32, 55, 5], Operations: ['86-81=5']
Exploring Operation: 55/5=11, Resulting Numbers: [32, 11]
Generated Node #3: [32, 11] from Operation: 55/5=11
Current State: 43:[32, 11], Operations: ['86-81=5', '55/5=11']
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
92,
97,
6,
2
] | 75 | [
"92-6=86",
"2*86=172",
"172-97=75"
] | Current State: 75:[92, 97, 6, 2], Operations: []
Exploring Operation: 92-6=86, Resulting Numbers: [97, 2, 86]
Generated Node #2: [97, 2, 86] from Operation: 92-6=86
Current State: 75:[97, 2, 86], Operations: ['92-6=86']
Exploring Operation: 2*86=172, Resulting Numbers: [97, 172]
Generated Node #3: [97, 172] from Operation: 2*86=172
Current State: 75:[97, 172], Operations: ['92-6=86', '2*86=172']
Exploring Operation: 172-97=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
93,
9,
30,
6
] | 73 | [
"30*6=180",
"180/9=20",
"93-20=73"
] | Current State: 73:[93, 9, 30, 6], Operations: []
Exploring Operation: 30*6=180, Resulting Numbers: [93, 9, 180]
Generated Node #2: [93, 9, 180] from Operation: 30*6=180
Current State: 73:[93, 9, 180], Operations: ['30*6=180']
Exploring Operation: 180/9=20, Resulting Numbers: [93, 20]
Generated Node #3: [93, 20] from Operation: 180/9=20
Current State: 73:[93, 20], Operations: ['30*6=180', '180/9=20']
Exploring Operation: 93-20=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
37,
59,
53,
4
] | 27 | [
"59-37=22",
"53-4=49",
"49-22=27"
] | Current State: 27:[37, 59, 53, 4], Operations: []
Exploring Operation: 59-37=22, Resulting Numbers: [53, 4, 22]
Generated Node #2: [53, 4, 22] from Operation: 59-37=22
Current State: 27:[53, 4, 22], Operations: ['59-37=22']
Exploring Operation: 53-4=49, Resulting Numbers: [22, 49]
Generated Node #3: [22, 49] from Operation: 53-4=49
Current State: 27:[22, 49], Operations: ['59-37=22', '53-4=49']
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
72,
40,
74,
20
] | 70 | [
"72*40=2880",
"2880/20=144",
"144-74=70"
] | Current State: 70:[72, 40, 74, 20], Operations: []
Exploring Operation: 72*40=2880, Resulting Numbers: [74, 20, 2880]
Generated Node #2: [74, 20, 2880] from Operation: 72*40=2880
Current State: 70:[74, 20, 2880], Operations: ['72*40=2880']
Exploring Operation: 2880/20=144, Resulting Numbers: [74, 144]
Generated Node #3: [74, 144] from Operation: 2880/20=144
Current State: 70:[74, 144], Operations: ['72*40=2880', '2880/20=144']
Exploring Operation: 144-74=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
46,
53,
64,
22
] | 58 | [
"46+64=110",
"110/22=5",
"53+5=58"
] | Current State: 58:[46, 53, 64, 22], Operations: []
Exploring Operation: 46+64=110, Resulting Numbers: [53, 22, 110]
Generated Node #2: [53, 22, 110] from Operation: 46+64=110
Current State: 58:[53, 22, 110], Operations: ['46+64=110']
Exploring Operation: 110/22=5, Resulting Numbers: [53, 5]
Generated Node #3: [53, 5] from Operation: 110/22=5
Current State: 58:[53, 5], Operations: ['46+64=110', '110/22=5']
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
35,
40,
4,
53
] | 53 | [
"40-35=5",
"5-4=1",
"53*1=53"
] | Current State: 53:[35, 40, 4, 53], Operations: []
Exploring Operation: 40-35=5, Resulting Numbers: [4, 53, 5]
Generated Node #2: [4, 53, 5] from Operation: 40-35=5
Current State: 53:[4, 53, 5], Operations: ['40-35=5']
Exploring Operation: 5-4=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 5-4=1
Current State: 53:[53, 1], Operations: ['40-35=5', '5-4=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
70,
7,
52,
95
] | 11 | [
"70-52=18",
"95-18=77",
"77/7=11"
] | Current State: 11:[70, 7, 52, 95], Operations: []
Exploring Operation: 70-52=18, Resulting Numbers: [7, 95, 18]
Generated Node #2: [7, 95, 18] from Operation: 70-52=18
Current State: 11:[7, 95, 18], Operations: ['70-52=18']
Exploring Operation: 95-18=77, Resulting Numbers: [7, 77]
Generated Node #3: [7, 77] from Operation: 95-18=77
Current State: 11:[7, 77], Operations: ['70-52=18', '95-18=77']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
66,
28,
32,
89
] | 92 | [
"89-66=23",
"32-28=4",
"23*4=92"
] | Current State: 92:[66, 28, 32, 89], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [28, 32, 23]
Generated Node #2: [28, 32, 23] from Operation: 89-66=23
Current State: 92:[28, 32, 23], Operations: ['89-66=23']
Exploring Operation: 32-28=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 32-28=4
Current State: 92:[23, 4], Operations: ['89-66=23', '32-28=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
20,
17,
29,
95
] | 22 | [
"20-17=3",
"95-29=66",
"66/3=22"
] | Current State: 22:[20, 17, 29, 95], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [29, 95, 3]
Generated Node #2: [29, 95, 3] from Operation: 20-17=3
Current State: 22:[29, 95, 3], Operations: ['20-17=3']
Exploring Operation: 95-29=66, Resulting Numbers: [3, 66]
Generated Node #3: [3, 66] from Operation: 95-29=66
Current State: 22:[3, 66], Operations: ['20-17=3', '95-29=66']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
1,
16,
25,
24
] | 33 | [
"1*16=16",
"25+24=49",
"49-16=33"
] | Current State: 33:[1, 16, 25, 24], Operations: []
Exploring Operation: 1*16=16, Resulting Numbers: [25, 24, 16]
Generated Node #2: [25, 24, 16] from Operation: 1*16=16
Current State: 33:[25, 24, 16], Operations: ['1*16=16']
Exploring Operation: 25+24=49, Resulting Numbers: [16, 49]
Generated Node #3: [16, 49] from Operation: 25+24=49
Current State: 33:[16, 49], Operations: ['1*16=16', '25+24=49']
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
56,
55,
42,
32
] | 75 | [
"56-55=1",
"42+32=74",
"1+74=75"
] | Current State: 75:[56, 55, 42, 32], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [42, 32, 1]
Generated Node #2: [42, 32, 1] from Operation: 56-55=1
Current State: 75:[42, 32, 1], Operations: ['56-55=1']
Exploring Operation: 42+32=74, Resulting Numbers: [1, 74]
Generated Node #3: [1, 74] from Operation: 42+32=74
Current State: 75:[1, 74], Operations: ['56-55=1', '42+32=74']
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
60,
82,
47,
72
] | 97 | [
"82-60=22",
"47+72=119",
"119-22=97"
] | Current State: 97:[60, 82, 47, 72], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [47, 72, 22]
Generated Node #2: [47, 72, 22] from Operation: 82-60=22
Current State: 97:[47, 72, 22], Operations: ['82-60=22']
Exploring Operation: 47+72=119, Resulting Numbers: [22, 119]
Generated Node #3: [22, 119] from Operation: 47+72=119
Current State: 97:[22, 119], Operations: ['82-60=22', '47+72=119']
Exploring Operation: 119-22=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
76,
21,
14,
25
] | 20 | [
"25-21=4",
"14*4=56",
"76-56=20"
] | Current State: 20:[76, 21, 14, 25], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [76, 14, 4]
Generated Node #2: [76, 14, 4] from Operation: 25-21=4
Current State: 20:[76, 14, 4], Operations: ['25-21=4']
Exploring Operation: 14*4=56, Resulting Numbers: [76, 56]
Generated Node #3: [76, 56] from Operation: 14*4=56
Current State: 20:[76, 56], Operations: ['25-21=4', '14*4=56']
Exploring Operation: 76-56=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
76,
86,
6,
74
] | 47 | [
"76+86=162",
"162/6=27",
"74-27=47"
] | Current State: 47:[76, 86, 6, 74], Operations: []
Exploring Operation: 76+86=162, Resulting Numbers: [6, 74, 162]
Generated Node #2: [6, 74, 162] from Operation: 76+86=162
Current State: 47:[6, 74, 162], Operations: ['76+86=162']
Exploring Operation: 162/6=27, Resulting Numbers: [74, 27]
Generated Node #3: [74, 27] from Operation: 162/6=27
Current State: 47:[74, 27], Operations: ['76+86=162', '162/6=27']
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
28,
4,
86,
93
] | 67 | [
"28*4=112",
"86+93=179",
"179-112=67"
] | Current State: 67:[28, 4, 86, 93], Operations: []
Exploring Operation: 28*4=112, Resulting Numbers: [86, 93, 112]
Generated Node #2: [86, 93, 112] from Operation: 28*4=112
Current State: 67:[86, 93, 112], Operations: ['28*4=112']
Exploring Operation: 86+93=179, Resulting Numbers: [112, 179]
Generated Node #3: [112, 179] from Operation: 86+93=179
Current State: 67:[112, 179], Operations: ['28*4=112', '86+93=179']
Exploring Operation: 179-112=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
87,
52,
85,
83
] | 70 | [
"87-52=35",
"85-83=2",
"35*2=70"
] | Current State: 70:[87, 52, 85, 83], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [85, 83, 35]
Generated Node #2: [85, 83, 35] from Operation: 87-52=35
Current State: 70:[85, 83, 35], Operations: ['87-52=35']
Exploring Operation: 85-83=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 85-83=2
Current State: 70:[35, 2], Operations: ['87-52=35', '85-83=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
57,
48,
24,
61
] | 28 | [
"57-48=9",
"61-24=37",
"37-9=28"
] | Current State: 28:[57, 48, 24, 61], Operations: []
Exploring Operation: 57-48=9, Resulting Numbers: [24, 61, 9]
Generated Node #2: [24, 61, 9] from Operation: 57-48=9
Current State: 28:[24, 61, 9], Operations: ['57-48=9']
Exploring Operation: 61-24=37, Resulting Numbers: [9, 37]
Generated Node #3: [9, 37] from Operation: 61-24=37
Current State: 28:[9, 37], Operations: ['57-48=9', '61-24=37']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
14,
17,
67,
40
] | 76 | [
"14+17=31",
"67+40=107",
"107-31=76"
] | Current State: 76:[14, 17, 67, 40], Operations: []
Exploring Operation: 14+17=31, Resulting Numbers: [67, 40, 31]
Generated Node #2: [67, 40, 31] from Operation: 14+17=31
Current State: 76:[67, 40, 31], Operations: ['14+17=31']
Exploring Operation: 67+40=107, Resulting Numbers: [31, 107]
Generated Node #3: [31, 107] from Operation: 67+40=107
Current State: 76:[31, 107], Operations: ['14+17=31', '67+40=107']
Exploring Operation: 107-31=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
49,
7,
79,
4
] | 51 | [
"49/7=7",
"4*7=28",
"79-28=51"
] | Current State: 51:[49, 7, 79, 4], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [79, 4, 7]
Generated Node #2: [79, 4, 7] from Operation: 49/7=7
Current State: 51:[79, 4, 7], Operations: ['49/7=7']
Exploring Operation: 4*7=28, Resulting Numbers: [79, 28]
Generated Node #3: [79, 28] from Operation: 4*7=28
Current State: 51:[79, 28], Operations: ['49/7=7', '4*7=28']
Exploring Operation: 79-28=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
45,
24,
97,
24
] | 52 | [
"45+24=69",
"97+24=121",
"121-69=52"
] | Current State: 52:[45, 24, 97, 24], Operations: []
Exploring Operation: 45+24=69, Resulting Numbers: [97, 69]
Generated Node #2: [97, 69] from Operation: 45+24=69
Current State: 52:[97, 69], Operations: ['45+24=69']
Exploring Operation: 97+24=121, Resulting Numbers: [69, 121]
Generated Node #3: [69, 121] from Operation: 97+24=121
Current State: 52:[69, 121], Operations: ['45+24=69', '97+24=121']
Exploring Operation: 121-69=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
29,
56,
58,
12
] | 70 | [
"58/29=2",
"56+12=68",
"2+68=70"
] | Current State: 70:[29, 56, 58, 12], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [56, 12, 2]
Generated Node #2: [56, 12, 2] from Operation: 58/29=2
Current State: 70:[56, 12, 2], Operations: ['58/29=2']
Exploring Operation: 56+12=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 56+12=68
Current State: 70:[2, 68], Operations: ['58/29=2', '56+12=68']
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
87,
13,
31,
29
] | 98 | [
"87+13=100",
"31-29=2",
"100-2=98"
] | Current State: 98:[87, 13, 31, 29], Operations: []
Exploring Operation: 87+13=100, Resulting Numbers: [31, 29, 100]
Generated Node #2: [31, 29, 100] from Operation: 87+13=100
Current State: 98:[31, 29, 100], Operations: ['87+13=100']
Exploring Operation: 31-29=2, Resulting Numbers: [100, 2]
Generated Node #3: [100, 2] from Operation: 31-29=2
Current State: 98:[100, 2], Operations: ['87+13=100', '31-29=2']
Exploring Operation: 100-2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
12,
79,
76,
11
] | 99 | [
"79-12=67",
"76-67=9",
"11*9=99"
] | Current State: 99:[12, 79, 76, 11], Operations: []
Exploring Operation: 79-12=67, Resulting Numbers: [76, 11, 67]
Generated Node #2: [76, 11, 67] from Operation: 79-12=67
Current State: 99:[76, 11, 67], Operations: ['79-12=67']
Exploring Operation: 76-67=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 76-67=9
Current State: 99:[11, 9], Operations: ['79-12=67', '76-67=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
52,
84,
59,
99
] | 36 | [
"52*99=5148",
"84+59=143",
"5148/143=36"
] | Current State: 36:[52, 84, 59, 99], Operations: []
Exploring Operation: 52*99=5148, Resulting Numbers: [84, 59, 5148]
Generated Node #2: [84, 59, 5148] from Operation: 52*99=5148
Current State: 36:[84, 59, 5148], Operations: ['52*99=5148']
Exploring Operation: 84+59=143, Resulting Numbers: [5148, 143]
Generated Node #3: [5148, 143] from Operation: 84+59=143
Current State: 36:[5148, 143], Operations: ['52*99=5148', '84+59=143']
Exploring Operation: 5148/143=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
37,
8,
36,
20
] | 28 | [
"37-36=1",
"8+20=28",
"1*28=28"
] | Current State: 28:[37, 8, 36, 20], Operations: []
Exploring Operation: 37-36=1, Resulting Numbers: [8, 20, 1]
Generated Node #2: [8, 20, 1] from Operation: 37-36=1
Current State: 28:[8, 20, 1], Operations: ['37-36=1']
Exploring Operation: 8+20=28, Resulting Numbers: [1, 28]
Generated Node #3: [1, 28] from Operation: 8+20=28
Current State: 28:[1, 28], Operations: ['37-36=1', '8+20=28']
Exploring Operation: 1*28=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
8,
20,
18,
26
] | 22 | [
"20-18=2",
"8/2=4",
"26-4=22"
] | Current State: 22:[8, 20, 18, 26], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [8, 26, 2]
Generated Node #2: [8, 26, 2] from Operation: 20-18=2
Current State: 22:[8, 26, 2], Operations: ['20-18=2']
Exploring Operation: 8/2=4, Resulting Numbers: [26, 4]
Generated Node #3: [26, 4] from Operation: 8/2=4
Current State: 22:[26, 4], Operations: ['20-18=2', '8/2=4']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
24,
60,
78,
10
] | 60 | [
"24+60=84",
"84-78=6",
"10*6=60"
] | Current State: 60:[24, 60, 78, 10], Operations: []
Exploring Operation: 24+60=84, Resulting Numbers: [78, 10, 84]
Generated Node #2: [78, 10, 84] from Operation: 24+60=84
Current State: 60:[78, 10, 84], Operations: ['24+60=84']
Exploring Operation: 84-78=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 84-78=6
Current State: 60:[10, 6], Operations: ['24+60=84', '84-78=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
2,
84,
36,
50
] | 35 | [
"84+36=120",
"120-50=70",
"70/2=35"
] | Current State: 35:[2, 84, 36, 50], Operations: []
Exploring Operation: 84+36=120, Resulting Numbers: [2, 50, 120]
Generated Node #2: [2, 50, 120] from Operation: 84+36=120
Current State: 35:[2, 50, 120], Operations: ['84+36=120']
Exploring Operation: 120-50=70, Resulting Numbers: [2, 70]
Generated Node #3: [2, 70] from Operation: 120-50=70
Current State: 35:[2, 70], Operations: ['84+36=120', '120-50=70']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
16,
94,
2,
1
] | 56 | [
"16+94=110",
"110/2=55",
"1+55=56"
] | Current State: 56:[16, 94, 2, 1], Operations: []
Exploring Operation: 16+94=110, Resulting Numbers: [2, 1, 110]
Generated Node #2: [2, 1, 110] from Operation: 16+94=110
Current State: 56:[2, 1, 110], Operations: ['16+94=110']
Exploring Operation: 110/2=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 110/2=55
Current State: 56:[1, 55], Operations: ['16+94=110', '110/2=55']
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
41,
83,
9,
52
] | 85 | [
"83-41=42",
"52-9=43",
"42+43=85"
] | Current State: 85:[41, 83, 9, 52], Operations: []
Exploring Operation: 83-41=42, Resulting Numbers: [9, 52, 42]
Generated Node #2: [9, 52, 42] from Operation: 83-41=42
Current State: 85:[9, 52, 42], Operations: ['83-41=42']
Exploring Operation: 52-9=43, Resulting Numbers: [42, 43]
Generated Node #3: [42, 43] from Operation: 52-9=43
Current State: 85:[42, 43], Operations: ['83-41=42', '52-9=43']
Exploring Operation: 42+43=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
28,
71,
41,
14
] | 28 | [
"71-28=43",
"43-41=2",
"14*2=28"
] | Current State: 28:[28, 71, 41, 14], Operations: []
Exploring Operation: 71-28=43, Resulting Numbers: [41, 14, 43]
Generated Node #2: [41, 14, 43] from Operation: 71-28=43
Current State: 28:[41, 14, 43], Operations: ['71-28=43']
Exploring Operation: 43-41=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 43-41=2
Current State: 28:[14, 2], Operations: ['71-28=43', '43-41=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
24,
28,
68,
18
] | 89 | [
"28*18=504",
"504/24=21",
"68+21=89"
] | Current State: 89:[24, 28, 68, 18], Operations: []
Exploring Operation: 28*18=504, Resulting Numbers: [24, 68, 504]
Generated Node #2: [24, 68, 504] from Operation: 28*18=504
Current State: 89:[24, 68, 504], Operations: ['28*18=504']
Exploring Operation: 504/24=21, Resulting Numbers: [68, 21]
Generated Node #3: [68, 21] from Operation: 504/24=21
Current State: 89:[68, 21], Operations: ['28*18=504', '504/24=21']
Exploring Operation: 68+21=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
2,
23,
63,
8
] | 11 | [
"2+23=25",
"63+25=88",
"88/8=11"
] | Current State: 11:[2, 23, 63, 8], Operations: []
Exploring Operation: 2+23=25, Resulting Numbers: [63, 8, 25]
Generated Node #2: [63, 8, 25] from Operation: 2+23=25
Current State: 11:[63, 8, 25], Operations: ['2+23=25']
Exploring Operation: 63+25=88, Resulting Numbers: [8, 88]
Generated Node #3: [8, 88] from Operation: 63+25=88
Current State: 11:[8, 88], Operations: ['2+23=25', '63+25=88']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
28,
37,
51,
45
] | 43 | [
"51-37=14",
"28/14=2",
"45-2=43"
] | Current State: 43:[28, 37, 51, 45], Operations: []
Exploring Operation: 51-37=14, Resulting Numbers: [28, 45, 14]
Generated Node #2: [28, 45, 14] from Operation: 51-37=14
Current State: 43:[28, 45, 14], Operations: ['51-37=14']
Exploring Operation: 28/14=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 28/14=2
Current State: 43:[45, 2], Operations: ['51-37=14', '28/14=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
9,
63,
11,
47
] | 31 | [
"11-9=2",
"47*2=94",
"94-63=31"
] | Current State: 31:[9, 63, 11, 47], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [63, 47, 2]
Generated Node #2: [63, 47, 2] from Operation: 11-9=2
Current State: 31:[63, 47, 2], Operations: ['11-9=2']
Exploring Operation: 47*2=94, Resulting Numbers: [63, 94]
Generated Node #3: [63, 94] from Operation: 47*2=94
Current State: 31:[63, 94], Operations: ['11-9=2', '47*2=94']
Exploring Operation: 94-63=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
72,
63,
87,
50
] | 69 | [
"63+87=150",
"150/50=3",
"72-3=69"
] | Current State: 69:[72, 63, 87, 50], Operations: []
Exploring Operation: 63+87=150, Resulting Numbers: [72, 50, 150]
Generated Node #2: [72, 50, 150] from Operation: 63+87=150
Current State: 69:[72, 50, 150], Operations: ['63+87=150']
Exploring Operation: 150/50=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 150/50=3
Current State: 69:[72, 3], Operations: ['63+87=150', '150/50=3']
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
38,
19,
80,
36
] | 25 | [
"38-19=19",
"80-36=44",
"44-19=25"
] | Current State: 25:[38, 19, 80, 36], Operations: []
Exploring Operation: 38-19=19, Resulting Numbers: [80, 36, 19]
Generated Node #2: [80, 36, 19] from Operation: 38-19=19
Current State: 25:[80, 36, 19], Operations: ['38-19=19']
Exploring Operation: 80-36=44, Resulting Numbers: [19, 44]
Generated Node #3: [19, 44] from Operation: 80-36=44
Current State: 25:[19, 44], Operations: ['38-19=19', '80-36=44']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
8,
2,
95,
22
] | 65 | [
"22-2=20",
"8*20=160",
"160-95=65"
] | Current State: 65:[8, 2, 95, 22], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [8, 95, 20]
Generated Node #2: [8, 95, 20] from Operation: 22-2=20
Current State: 65:[8, 95, 20], Operations: ['22-2=20']
Exploring Operation: 8*20=160, Resulting Numbers: [95, 160]
Generated Node #3: [95, 160] from Operation: 8*20=160
Current State: 65:[95, 160], Operations: ['22-2=20', '8*20=160']
Exploring Operation: 160-95=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
89,
96,
65,
49
] | 45 | [
"89-65=24",
"96/24=4",
"49-4=45"
] | Current State: 45:[89, 96, 65, 49], Operations: []
Exploring Operation: 89-65=24, Resulting Numbers: [96, 49, 24]
Generated Node #2: [96, 49, 24] from Operation: 89-65=24
Current State: 45:[96, 49, 24], Operations: ['89-65=24']
Exploring Operation: 96/24=4, Resulting Numbers: [49, 4]
Generated Node #3: [49, 4] from Operation: 96/24=4
Current State: 45:[49, 4], Operations: ['89-65=24', '96/24=4']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
41,
89,
40,
11
] | 77 | [
"89-41=48",
"40-11=29",
"48+29=77"
] | Current State: 77:[41, 89, 40, 11], Operations: []
Exploring Operation: 89-41=48, Resulting Numbers: [40, 11, 48]
Generated Node #2: [40, 11, 48] from Operation: 89-41=48
Current State: 77:[40, 11, 48], Operations: ['89-41=48']
Exploring Operation: 40-11=29, Resulting Numbers: [48, 29]
Generated Node #3: [48, 29] from Operation: 40-11=29
Current State: 77:[48, 29], Operations: ['89-41=48', '40-11=29']
Exploring Operation: 48+29=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
15,
32,
5,
94
] | 10 | [
"15+32=47",
"5*94=470",
"470/47=10"
] | Current State: 10:[15, 32, 5, 94], Operations: []
Exploring Operation: 15+32=47, Resulting Numbers: [5, 94, 47]
Generated Node #2: [5, 94, 47] from Operation: 15+32=47
Current State: 10:[5, 94, 47], Operations: ['15+32=47']
Exploring Operation: 5*94=470, Resulting Numbers: [47, 470]
Generated Node #3: [47, 470] from Operation: 5*94=470
Current State: 10:[47, 470], Operations: ['15+32=47', '5*94=470']
Exploring Operation: 470/47=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
42,
56,
18,
20
] | 16 | [
"56-42=14",
"20-18=2",
"14+2=16"
] | Current State: 16:[42, 56, 18, 20], Operations: []
Exploring Operation: 56-42=14, Resulting Numbers: [18, 20, 14]
Generated Node #2: [18, 20, 14] from Operation: 56-42=14
Current State: 16:[18, 20, 14], Operations: ['56-42=14']
Exploring Operation: 20-18=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 20-18=2
Current State: 16:[14, 2], Operations: ['56-42=14', '20-18=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
92,
28,
53,
73
] | 100 | [
"92+28=120",
"73-53=20",
"120-20=100"
] | Current State: 100:[92, 28, 53, 73], Operations: []
Exploring Operation: 92+28=120, Resulting Numbers: [53, 73, 120]
Generated Node #2: [53, 73, 120] from Operation: 92+28=120
Current State: 100:[53, 73, 120], Operations: ['92+28=120']
Exploring Operation: 73-53=20, Resulting Numbers: [120, 20]
Generated Node #3: [120, 20] from Operation: 73-53=20
Current State: 100:[120, 20], Operations: ['92+28=120', '73-53=20']
Exploring Operation: 120-20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
16,
2,
63,
55
] | 75 | [
"63+55=118",
"118/2=59",
"16+59=75"
] | Current State: 75:[16, 2, 63, 55], Operations: []
Exploring Operation: 63+55=118, Resulting Numbers: [16, 2, 118]
Generated Node #2: [16, 2, 118] from Operation: 63+55=118
Current State: 75:[16, 2, 118], Operations: ['63+55=118']
Exploring Operation: 118/2=59, Resulting Numbers: [16, 59]
Generated Node #3: [16, 59] from Operation: 118/2=59
Current State: 75:[16, 59], Operations: ['63+55=118', '118/2=59']
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
5,
85,
26,
35
] | 15 | [
"5*85=425",
"425-35=390",
"390/26=15"
] | Current State: 15:[5, 85, 26, 35], Operations: []
Exploring Operation: 5*85=425, Resulting Numbers: [26, 35, 425]
Generated Node #2: [26, 35, 425] from Operation: 5*85=425
Current State: 15:[26, 35, 425], Operations: ['5*85=425']
Exploring Operation: 425-35=390, Resulting Numbers: [26, 390]
Generated Node #3: [26, 390] from Operation: 425-35=390
Current State: 15:[26, 390], Operations: ['5*85=425', '425-35=390']
Exploring Operation: 390/26=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
32,
83,
13,
68
] | 60 | [
"32+83=115",
"68-13=55",
"115-55=60"
] | Current State: 60:[32, 83, 13, 68], Operations: []
Exploring Operation: 32+83=115, Resulting Numbers: [13, 68, 115]
Generated Node #2: [13, 68, 115] from Operation: 32+83=115
Current State: 60:[13, 68, 115], Operations: ['32+83=115']
Exploring Operation: 68-13=55, Resulting Numbers: [115, 55]
Generated Node #3: [115, 55] from Operation: 68-13=55
Current State: 60:[115, 55], Operations: ['32+83=115', '68-13=55']
Exploring Operation: 115-55=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
89,
82,
66,
67
] | 79 | [
"89-67=22",
"66/22=3",
"82-3=79"
] | Current State: 79:[89, 82, 66, 67], Operations: []
Exploring Operation: 89-67=22, Resulting Numbers: [82, 66, 22]
Generated Node #2: [82, 66, 22] from Operation: 89-67=22
Current State: 79:[82, 66, 22], Operations: ['89-67=22']
Exploring Operation: 66/22=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 66/22=3
Current State: 79:[82, 3], Operations: ['89-67=22', '66/22=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
83,
3,
37,
39
] | 95 | [
"83-39=44",
"3*44=132",
"132-37=95"
] | Current State: 95:[83, 3, 37, 39], Operations: []
Exploring Operation: 83-39=44, Resulting Numbers: [3, 37, 44]
Generated Node #2: [3, 37, 44] from Operation: 83-39=44
Current State: 95:[3, 37, 44], Operations: ['83-39=44']
Exploring Operation: 3*44=132, Resulting Numbers: [37, 132]
Generated Node #3: [37, 132] from Operation: 3*44=132
Current State: 95:[37, 132], Operations: ['83-39=44', '3*44=132']
Exploring Operation: 132-37=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
63,
74,
67,
3
] | 59 | [
"74-63=11",
"67+3=70",
"70-11=59"
] | Current State: 59:[63, 74, 67, 3], Operations: []
Exploring Operation: 74-63=11, Resulting Numbers: [67, 3, 11]
Generated Node #2: [67, 3, 11] from Operation: 74-63=11
Current State: 59:[67, 3, 11], Operations: ['74-63=11']
Exploring Operation: 67+3=70, Resulting Numbers: [11, 70]
Generated Node #3: [11, 70] from Operation: 67+3=70
Current State: 59:[11, 70], Operations: ['74-63=11', '67+3=70']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
91,
88,
80,
93
] | 55 | [
"91-80=11",
"93-88=5",
"11*5=55"
] | Current State: 55:[91, 88, 80, 93], Operations: []
Exploring Operation: 91-80=11, Resulting Numbers: [88, 93, 11]
Generated Node #2: [88, 93, 11] from Operation: 91-80=11
Current State: 55:[88, 93, 11], Operations: ['91-80=11']
Exploring Operation: 93-88=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 93-88=5
Current State: 55:[11, 5], Operations: ['91-80=11', '93-88=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
86,
30,
17,
23
] | 27 | [
"86-17=69",
"69/23=3",
"30-3=27"
] | Current State: 27:[86, 30, 17, 23], Operations: []
Exploring Operation: 86-17=69, Resulting Numbers: [30, 23, 69]
Generated Node #2: [30, 23, 69] from Operation: 86-17=69
Current State: 27:[30, 23, 69], Operations: ['86-17=69']
Exploring Operation: 69/23=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 69/23=3
Current State: 27:[30, 3], Operations: ['86-17=69', '69/23=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
85,
70,
99,
92
] | 97 | [
"99-85=14",
"70/14=5",
"92+5=97"
] | Current State: 97:[85, 70, 99, 92], Operations: []
Exploring Operation: 99-85=14, Resulting Numbers: [70, 92, 14]
Generated Node #2: [70, 92, 14] from Operation: 99-85=14
Current State: 97:[70, 92, 14], Operations: ['99-85=14']
Exploring Operation: 70/14=5, Resulting Numbers: [92, 5]
Generated Node #3: [92, 5] from Operation: 70/14=5
Current State: 97:[92, 5], Operations: ['99-85=14', '70/14=5']
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
95,
45,
80,
38
] | 62 | [
"45*38=1710",
"1710/95=18",
"80-18=62"
] | Current State: 62:[95, 45, 80, 38], Operations: []
Exploring Operation: 45*38=1710, Resulting Numbers: [95, 80, 1710]
Generated Node #2: [95, 80, 1710] from Operation: 45*38=1710
Current State: 62:[95, 80, 1710], Operations: ['45*38=1710']
Exploring Operation: 1710/95=18, Resulting Numbers: [80, 18]
Generated Node #3: [80, 18] from Operation: 1710/95=18
Current State: 62:[80, 18], Operations: ['45*38=1710', '1710/95=18']
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
14,
39,
39,
67
] | 54 | [
"67-14=53",
"39/39=1",
"53+1=54"
] | Current State: 54:[14, 39, 39, 67], Operations: []
Exploring Operation: 67-14=53, Resulting Numbers: [39, 39, 53]
Generated Node #2: [39, 39, 53] from Operation: 67-14=53
Current State: 54:[39, 39, 53], Operations: ['67-14=53']
Exploring Operation: 39/39=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 39/39=1
Current State: 54:[53, 1], Operations: ['67-14=53', '39/39=1']
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
72,
59,
61,
65
] | 49 | [
"65-59=6",
"72/6=12",
"61-12=49"
] | Current State: 49:[72, 59, 61, 65], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [72, 61, 6]
Generated Node #2: [72, 61, 6] from Operation: 65-59=6
Current State: 49:[72, 61, 6], Operations: ['65-59=6']
Exploring Operation: 72/6=12, Resulting Numbers: [61, 12]
Generated Node #3: [61, 12] from Operation: 72/6=12
Current State: 49:[61, 12], Operations: ['65-59=6', '72/6=12']
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
11,
6,
79,
63
] | 76 | [
"11*6=66",
"79+63=142",
"142-66=76"
] | Current State: 76:[11, 6, 79, 63], Operations: []
Exploring Operation: 11*6=66, Resulting Numbers: [79, 63, 66]
Generated Node #2: [79, 63, 66] from Operation: 11*6=66
Current State: 76:[79, 63, 66], Operations: ['11*6=66']
Exploring Operation: 79+63=142, Resulting Numbers: [66, 142]
Generated Node #3: [66, 142] from Operation: 79+63=142
Current State: 76:[66, 142], Operations: ['11*6=66', '79+63=142']
Exploring Operation: 142-66=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
6,
99,
6,
61
] | 50 | [
"6+99=105",
"61-6=55",
"105-55=50"
] | Current State: 50:[6, 99, 6, 61], Operations: []
Exploring Operation: 6+99=105, Resulting Numbers: [61, 105]
Generated Node #2: [61, 105] from Operation: 6+99=105
Current State: 50:[61, 105], Operations: ['6+99=105']
Exploring Operation: 61-6=55, Resulting Numbers: [105, 55]
Generated Node #3: [105, 55] from Operation: 61-6=55
Current State: 50:[105, 55], Operations: ['6+99=105', '61-6=55']
Exploring Operation: 105-55=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
85,
95,
67,
40
] | 71 | [
"95-85=10",
"40/10=4",
"67+4=71"
] | Current State: 71:[85, 95, 67, 40], Operations: []
Exploring Operation: 95-85=10, Resulting Numbers: [67, 40, 10]
Generated Node #2: [67, 40, 10] from Operation: 95-85=10
Current State: 71:[67, 40, 10], Operations: ['95-85=10']
Exploring Operation: 40/10=4, Resulting Numbers: [67, 4]
Generated Node #3: [67, 4] from Operation: 40/10=4
Current State: 71:[67, 4], Operations: ['95-85=10', '40/10=4']
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
70,
74,
37,
59
] | 92 | [
"74-70=4",
"37+59=96",
"96-4=92"
] | Current State: 92:[70, 74, 37, 59], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [37, 59, 4]
Generated Node #2: [37, 59, 4] from Operation: 74-70=4
Current State: 92:[37, 59, 4], Operations: ['74-70=4']
Exploring Operation: 37+59=96, Resulting Numbers: [4, 96]
Generated Node #3: [4, 96] from Operation: 37+59=96
Current State: 92:[4, 96], Operations: ['74-70=4', '37+59=96']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
24,
26,
23,
12
] | 75 | [
"24*26=624",
"624/12=52",
"23+52=75"
] | Current State: 75:[24, 26, 23, 12], Operations: []
Exploring Operation: 24*26=624, Resulting Numbers: [23, 12, 624]
Generated Node #2: [23, 12, 624] from Operation: 24*26=624
Current State: 75:[23, 12, 624], Operations: ['24*26=624']
Exploring Operation: 624/12=52, Resulting Numbers: [23, 52]
Generated Node #3: [23, 52] from Operation: 624/12=52
Current State: 75:[23, 52], Operations: ['24*26=624', '624/12=52']
Exploring Operation: 23+52=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
20,
9,
40,
59
] | 31 | [
"40+59=99",
"99/9=11",
"20+11=31"
] | Current State: 31:[20, 9, 40, 59], Operations: []
Exploring Operation: 40+59=99, Resulting Numbers: [20, 9, 99]
Generated Node #2: [20, 9, 99] from Operation: 40+59=99
Current State: 31:[20, 9, 99], Operations: ['40+59=99']
Exploring Operation: 99/9=11, Resulting Numbers: [20, 11]
Generated Node #3: [20, 11] from Operation: 99/9=11
Current State: 31:[20, 11], Operations: ['40+59=99', '99/9=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
58,
35,
34,
15
] | 72 | [
"58-35=23",
"34+15=49",
"23+49=72"
] | Current State: 72:[58, 35, 34, 15], Operations: []
Exploring Operation: 58-35=23, Resulting Numbers: [34, 15, 23]
Generated Node #2: [34, 15, 23] from Operation: 58-35=23
Current State: 72:[34, 15, 23], Operations: ['58-35=23']
Exploring Operation: 34+15=49, Resulting Numbers: [23, 49]
Generated Node #3: [23, 49] from Operation: 34+15=49
Current State: 72:[23, 49], Operations: ['58-35=23', '34+15=49']
Exploring Operation: 23+49=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
13,
83,
26,
7
] | 78 | [
"26/13=2",
"83-7=76",
"2+76=78"
] | Current State: 78:[13, 83, 26, 7], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [83, 7, 2]
Generated Node #2: [83, 7, 2] from Operation: 26/13=2
Current State: 78:[83, 7, 2], Operations: ['26/13=2']
Exploring Operation: 83-7=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 83-7=76
Current State: 78:[2, 76], Operations: ['26/13=2', '83-7=76']
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
66,
38,
31,
38
] | 21 | [
"66-38=28",
"38-31=7",
"28-7=21"
] | Current State: 21:[66, 38, 31, 38], Operations: []
Exploring Operation: 66-38=28, Resulting Numbers: [31, 28]
Generated Node #2: [31, 28] from Operation: 66-38=28
Current State: 21:[31, 28], Operations: ['66-38=28']
Exploring Operation: 38-31=7, Resulting Numbers: [28, 7]
Generated Node #3: [28, 7] from Operation: 38-31=7
Current State: 21:[28, 7], Operations: ['66-38=28', '38-31=7']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
85,
87,
4,
44
] | 84 | [
"87-85=2",
"44*2=88",
"88-4=84"
] | Current State: 84:[85, 87, 4, 44], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [4, 44, 2]
Generated Node #2: [4, 44, 2] from Operation: 87-85=2
Current State: 84:[4, 44, 2], Operations: ['87-85=2']
Exploring Operation: 44*2=88, Resulting Numbers: [4, 88]
Generated Node #3: [4, 88] from Operation: 44*2=88
Current State: 84:[4, 88], Operations: ['87-85=2', '44*2=88']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
30,
75,
80,
7
] | 28 | [
"75-30=45",
"80-7=73",
"73-45=28"
] | Current State: 28:[30, 75, 80, 7], Operations: []
Exploring Operation: 75-30=45, Resulting Numbers: [80, 7, 45]
Generated Node #2: [80, 7, 45] from Operation: 75-30=45
Current State: 28:[80, 7, 45], Operations: ['75-30=45']
Exploring Operation: 80-7=73, Resulting Numbers: [45, 73]
Generated Node #3: [45, 73] from Operation: 80-7=73
Current State: 28:[45, 73], Operations: ['75-30=45', '80-7=73']
Exploring Operation: 73-45=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
73,
50,
12,
64
] | 53 | [
"73-50=23",
"12+64=76",
"76-23=53"
] | Current State: 53:[73, 50, 12, 64], Operations: []
Exploring Operation: 73-50=23, Resulting Numbers: [12, 64, 23]
Generated Node #2: [12, 64, 23] from Operation: 73-50=23
Current State: 53:[12, 64, 23], Operations: ['73-50=23']
Exploring Operation: 12+64=76, Resulting Numbers: [23, 76]
Generated Node #3: [23, 76] from Operation: 12+64=76
Current State: 53:[23, 76], Operations: ['73-50=23', '12+64=76']
Exploring Operation: 76-23=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
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