nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
11,
41,
50,
60
] | 100 | [
"41-11=30",
"50*60=3000",
"3000/30=100"
] | Current State: 100:[11, 41, 50, 60], Operations: []
Exploring Operation: 41-11=30, Resulting Numbers: [50, 60, 30]
Generated Node #2: [50, 60, 30] from Operation: 41-11=30
Current State: 100:[50, 60, 30], Operations: ['41-11=30']
Exploring Operation: 50*60=3000, Resulting Numbers: [30, 3000]
Generated Node #3: [30, 3000] from Operation: 50*60=3000
Current State: 100:[30, 3000], Operations: ['41-11=30', '50*60=3000']
Exploring Operation: 3000/30=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
20,
96,
37,
98
] | 15 | [
"96-20=76",
"98-37=61",
"76-61=15"
] | Current State: 15:[20, 96, 37, 98], Operations: []
Exploring Operation: 96-20=76, Resulting Numbers: [37, 98, 76]
Generated Node #2: [37, 98, 76] from Operation: 96-20=76
Current State: 15:[37, 98, 76], Operations: ['96-20=76']
Exploring Operation: 98-37=61, Resulting Numbers: [76, 61]
Generated Node #3: [76, 61] from Operation: 98-37=61
Current State: 15:[76, 61], Operations: ['96-20=76', '98-37=61']
Exploring Operation: 76-61=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
24,
30,
84,
44
] | 74 | [
"24+30=54",
"84+44=128",
"128-54=74"
] | Current State: 74:[24, 30, 84, 44], Operations: []
Exploring Operation: 24+30=54, Resulting Numbers: [84, 44, 54]
Generated Node #2: [84, 44, 54] from Operation: 24+30=54
Current State: 74:[84, 44, 54], Operations: ['24+30=54']
Exploring Operation: 84+44=128, Resulting Numbers: [54, 128]
Generated Node #3: [54, 128] from Operation: 84+44=128
Current State: 74:[54, 128], Operations: ['24+30=54', '84+44=128']
Exploring Operation: 128-54=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
53,
90,
91,
13
] | 65 | [
"53+90=143",
"91-13=78",
"143-78=65"
] | Current State: 65:[53, 90, 91, 13], Operations: []
Exploring Operation: 53+90=143, Resulting Numbers: [91, 13, 143]
Generated Node #2: [91, 13, 143] from Operation: 53+90=143
Current State: 65:[91, 13, 143], Operations: ['53+90=143']
Exploring Operation: 91-13=78, Resulting Numbers: [143, 78]
Generated Node #3: [143, 78] from Operation: 91-13=78
Current State: 65:[143, 78], Operations: ['53+90=143', '91-13=78']
Exploring Operation: 143-78=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
67,
27,
46,
3
] | 18 | [
"67-27=40",
"46-40=6",
"3*6=18"
] | Current State: 18:[67, 27, 46, 3], Operations: []
Exploring Operation: 67-27=40, Resulting Numbers: [46, 3, 40]
Generated Node #2: [46, 3, 40] from Operation: 67-27=40
Current State: 18:[46, 3, 40], Operations: ['67-27=40']
Exploring Operation: 46-40=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 46-40=6
Current State: 18:[3, 6], Operations: ['67-27=40', '46-40=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
43,
50,
65,
10
] | 27 | [
"65-43=22",
"50/10=5",
"22+5=27"
] | Current State: 27:[43, 50, 65, 10], Operations: []
Exploring Operation: 65-43=22, Resulting Numbers: [50, 10, 22]
Generated Node #2: [50, 10, 22] from Operation: 65-43=22
Current State: 27:[50, 10, 22], Operations: ['65-43=22']
Exploring Operation: 50/10=5, Resulting Numbers: [22, 5]
Generated Node #3: [22, 5] from Operation: 50/10=5
Current State: 27:[22, 5], Operations: ['65-43=22', '50/10=5']
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
48,
38,
62,
80
] | 82 | [
"62-38=24",
"48/24=2",
"80+2=82"
] | Current State: 82:[48, 38, 62, 80], Operations: []
Exploring Operation: 62-38=24, Resulting Numbers: [48, 80, 24]
Generated Node #2: [48, 80, 24] from Operation: 62-38=24
Current State: 82:[48, 80, 24], Operations: ['62-38=24']
Exploring Operation: 48/24=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 48/24=2
Current State: 82:[80, 2], Operations: ['62-38=24', '48/24=2']
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
83,
21,
35,
63
] | 48 | [
"83*21=1743",
"1743-63=1680",
"1680/35=48"
] | Current State: 48:[83, 21, 35, 63], Operations: []
Exploring Operation: 83*21=1743, Resulting Numbers: [35, 63, 1743]
Generated Node #2: [35, 63, 1743] from Operation: 83*21=1743
Current State: 48:[35, 63, 1743], Operations: ['83*21=1743']
Exploring Operation: 1743-63=1680, Resulting Numbers: [35, 1680]
Generated Node #3: [35, 1680] from Operation: 1743-63=1680
Current State: 48:[35, 1680], Operations: ['83*21=1743', '1743-63=1680']
Exploring Operation: 1680/35=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
88,
15,
61,
7
] | 19 | [
"88-15=73",
"61-7=54",
"73-54=19"
] | Current State: 19:[88, 15, 61, 7], Operations: []
Exploring Operation: 88-15=73, Resulting Numbers: [61, 7, 73]
Generated Node #2: [61, 7, 73] from Operation: 88-15=73
Current State: 19:[61, 7, 73], Operations: ['88-15=73']
Exploring Operation: 61-7=54, Resulting Numbers: [73, 54]
Generated Node #3: [73, 54] from Operation: 61-7=54
Current State: 19:[73, 54], Operations: ['88-15=73', '61-7=54']
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
55,
53,
67,
12
] | 29 | [
"55+53=108",
"67+12=79",
"108-79=29"
] | Current State: 29:[55, 53, 67, 12], Operations: []
Exploring Operation: 55+53=108, Resulting Numbers: [67, 12, 108]
Generated Node #2: [67, 12, 108] from Operation: 55+53=108
Current State: 29:[67, 12, 108], Operations: ['55+53=108']
Exploring Operation: 67+12=79, Resulting Numbers: [108, 79]
Generated Node #3: [108, 79] from Operation: 67+12=79
Current State: 29:[108, 79], Operations: ['55+53=108', '67+12=79']
Exploring Operation: 108-79=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
29,
22,
4,
14
] | 31 | [
"22-14=8",
"8/4=2",
"29+2=31"
] | Current State: 31:[29, 22, 4, 14], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [29, 4, 8]
Generated Node #2: [29, 4, 8] from Operation: 22-14=8
Current State: 31:[29, 4, 8], Operations: ['22-14=8']
Exploring Operation: 8/4=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 8/4=2
Current State: 31:[29, 2], Operations: ['22-14=8', '8/4=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
65,
54,
90,
7
] | 94 | [
"65-54=11",
"90-7=83",
"11+83=94"
] | Current State: 94:[65, 54, 90, 7], Operations: []
Exploring Operation: 65-54=11, Resulting Numbers: [90, 7, 11]
Generated Node #2: [90, 7, 11] from Operation: 65-54=11
Current State: 94:[90, 7, 11], Operations: ['65-54=11']
Exploring Operation: 90-7=83, Resulting Numbers: [11, 83]
Generated Node #3: [11, 83] from Operation: 90-7=83
Current State: 94:[11, 83], Operations: ['65-54=11', '90-7=83']
Exploring Operation: 11+83=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
15,
79,
9,
34
] | 69 | [
"15+79=94",
"34-9=25",
"94-25=69"
] | Current State: 69:[15, 79, 9, 34], Operations: []
Exploring Operation: 15+79=94, Resulting Numbers: [9, 34, 94]
Generated Node #2: [9, 34, 94] from Operation: 15+79=94
Current State: 69:[9, 34, 94], Operations: ['15+79=94']
Exploring Operation: 34-9=25, Resulting Numbers: [94, 25]
Generated Node #3: [94, 25] from Operation: 34-9=25
Current State: 69:[94, 25], Operations: ['15+79=94', '34-9=25']
Exploring Operation: 94-25=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
81,
92,
73,
50
] | 34 | [
"92-81=11",
"73-50=23",
"11+23=34"
] | Current State: 34:[81, 92, 73, 50], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [73, 50, 11]
Generated Node #2: [73, 50, 11] from Operation: 92-81=11
Current State: 34:[73, 50, 11], Operations: ['92-81=11']
Exploring Operation: 73-50=23, Resulting Numbers: [11, 23]
Generated Node #3: [11, 23] from Operation: 73-50=23
Current State: 34:[11, 23], Operations: ['92-81=11', '73-50=23']
Exploring Operation: 11+23=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
55,
23,
81,
57
] | 61 | [
"81+57=138",
"138/23=6",
"55+6=61"
] | Current State: 61:[55, 23, 81, 57], Operations: []
Exploring Operation: 81+57=138, Resulting Numbers: [55, 23, 138]
Generated Node #2: [55, 23, 138] from Operation: 81+57=138
Current State: 61:[55, 23, 138], Operations: ['81+57=138']
Exploring Operation: 138/23=6, Resulting Numbers: [55, 6]
Generated Node #3: [55, 6] from Operation: 138/23=6
Current State: 61:[55, 6], Operations: ['81+57=138', '138/23=6']
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
85,
32,
80,
89
] | 62 | [
"85-32=53",
"89-80=9",
"53+9=62"
] | Current State: 62:[85, 32, 80, 89], Operations: []
Exploring Operation: 85-32=53, Resulting Numbers: [80, 89, 53]
Generated Node #2: [80, 89, 53] from Operation: 85-32=53
Current State: 62:[80, 89, 53], Operations: ['85-32=53']
Exploring Operation: 89-80=9, Resulting Numbers: [53, 9]
Generated Node #3: [53, 9] from Operation: 89-80=9
Current State: 62:[53, 9], Operations: ['85-32=53', '89-80=9']
Exploring Operation: 53+9=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
71,
47,
45,
68
] | 47 | [
"71-47=24",
"68-45=23",
"24+23=47"
] | Current State: 47:[71, 47, 45, 68], Operations: []
Exploring Operation: 71-47=24, Resulting Numbers: [45, 68, 24]
Generated Node #2: [45, 68, 24] from Operation: 71-47=24
Current State: 47:[45, 68, 24], Operations: ['71-47=24']
Exploring Operation: 68-45=23, Resulting Numbers: [24, 23]
Generated Node #3: [24, 23] from Operation: 68-45=23
Current State: 47:[24, 23], Operations: ['71-47=24', '68-45=23']
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
29,
96,
21,
67
] | 55 | [
"29-21=8",
"96/8=12",
"67-12=55"
] | Current State: 55:[29, 96, 21, 67], Operations: []
Exploring Operation: 29-21=8, Resulting Numbers: [96, 67, 8]
Generated Node #2: [96, 67, 8] from Operation: 29-21=8
Current State: 55:[96, 67, 8], Operations: ['29-21=8']
Exploring Operation: 96/8=12, Resulting Numbers: [67, 12]
Generated Node #3: [67, 12] from Operation: 96/8=12
Current State: 55:[67, 12], Operations: ['29-21=8', '96/8=12']
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
11,
35,
99,
47
] | 91 | [
"99/11=9",
"35+47=82",
"9+82=91"
] | Current State: 91:[11, 35, 99, 47], Operations: []
Exploring Operation: 99/11=9, Resulting Numbers: [35, 47, 9]
Generated Node #2: [35, 47, 9] from Operation: 99/11=9
Current State: 91:[35, 47, 9], Operations: ['99/11=9']
Exploring Operation: 35+47=82, Resulting Numbers: [9, 82]
Generated Node #3: [9, 82] from Operation: 35+47=82
Current State: 91:[9, 82], Operations: ['99/11=9', '35+47=82']
Exploring Operation: 9+82=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
35,
42,
24,
83
] | 66 | [
"42-35=7",
"83-24=59",
"7+59=66"
] | Current State: 66:[35, 42, 24, 83], Operations: []
Exploring Operation: 42-35=7, Resulting Numbers: [24, 83, 7]
Generated Node #2: [24, 83, 7] from Operation: 42-35=7
Current State: 66:[24, 83, 7], Operations: ['42-35=7']
Exploring Operation: 83-24=59, Resulting Numbers: [7, 59]
Generated Node #3: [7, 59] from Operation: 83-24=59
Current State: 66:[7, 59], Operations: ['42-35=7', '83-24=59']
Exploring Operation: 7+59=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
19,
74,
68,
24
] | 76 | [
"19*24=456",
"74-68=6",
"456/6=76"
] | Current State: 76:[19, 74, 68, 24], Operations: []
Exploring Operation: 19*24=456, Resulting Numbers: [74, 68, 456]
Generated Node #2: [74, 68, 456] from Operation: 19*24=456
Current State: 76:[74, 68, 456], Operations: ['19*24=456']
Exploring Operation: 74-68=6, Resulting Numbers: [456, 6]
Generated Node #3: [456, 6] from Operation: 74-68=6
Current State: 76:[456, 6], Operations: ['19*24=456', '74-68=6']
Exploring Operation: 456/6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
28,
69,
7,
11
] | 43 | [
"11-7=4",
"28*4=112",
"112-69=43"
] | Current State: 43:[28, 69, 7, 11], Operations: []
Exploring Operation: 11-7=4, Resulting Numbers: [28, 69, 4]
Generated Node #2: [28, 69, 4] from Operation: 11-7=4
Current State: 43:[28, 69, 4], Operations: ['11-7=4']
Exploring Operation: 28*4=112, Resulting Numbers: [69, 112]
Generated Node #3: [69, 112] from Operation: 28*4=112
Current State: 43:[69, 112], Operations: ['11-7=4', '28*4=112']
Exploring Operation: 112-69=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
36,
26,
68,
34
] | 24 | [
"36-26=10",
"68-34=34",
"34-10=24"
] | Current State: 24:[36, 26, 68, 34], Operations: []
Exploring Operation: 36-26=10, Resulting Numbers: [68, 34, 10]
Generated Node #2: [68, 34, 10] from Operation: 36-26=10
Current State: 24:[68, 34, 10], Operations: ['36-26=10']
Exploring Operation: 68-34=34, Resulting Numbers: [10, 34]
Generated Node #3: [10, 34] from Operation: 68-34=34
Current State: 24:[10, 34], Operations: ['36-26=10', '68-34=34']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
5,
3,
18,
10
] | 64 | [
"5+3=8",
"18-10=8",
"8*8=64"
] | Current State: 64:[5, 3, 18, 10], Operations: []
Exploring Operation: 5+3=8, Resulting Numbers: [18, 10, 8]
Generated Node #2: [18, 10, 8] from Operation: 5+3=8
Current State: 64:[18, 10, 8], Operations: ['5+3=8']
Exploring Operation: 18-10=8, Resulting Numbers: [8, 8]
Generated Node #3: [8, 8] from Operation: 18-10=8
Current State: 64:[8, 8], Operations: ['5+3=8', '18-10=8']
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
55,
92,
2,
54
] | 91 | [
"55+92=147",
"2+54=56",
"147-56=91"
] | Current State: 91:[55, 92, 2, 54], Operations: []
Exploring Operation: 55+92=147, Resulting Numbers: [2, 54, 147]
Generated Node #2: [2, 54, 147] from Operation: 55+92=147
Current State: 91:[2, 54, 147], Operations: ['55+92=147']
Exploring Operation: 2+54=56, Resulting Numbers: [147, 56]
Generated Node #3: [147, 56] from Operation: 2+54=56
Current State: 91:[147, 56], Operations: ['55+92=147', '2+54=56']
Exploring Operation: 147-56=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
67,
6,
79,
6
] | 78 | [
"79-67=12",
"6*12=72",
"6+72=78"
] | Current State: 78:[67, 6, 79, 6], Operations: []
Exploring Operation: 79-67=12, Resulting Numbers: [6, 6, 12]
Generated Node #2: [6, 6, 12] from Operation: 79-67=12
Current State: 78:[6, 6, 12], Operations: ['79-67=12']
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,78 equal: Goal Reached
Exploring Operation: 6+72=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
9,
84,
27,
89
] | 15 | [
"27/9=3",
"89-84=5",
"3*5=15"
] | Current State: 15:[9, 84, 27, 89], Operations: []
Exploring Operation: 27/9=3, Resulting Numbers: [84, 89, 3]
Generated Node #2: [84, 89, 3] from Operation: 27/9=3
Current State: 15:[84, 89, 3], Operations: ['27/9=3']
Exploring Operation: 89-84=5, Resulting Numbers: [3, 5]
Generated Node #3: [3, 5] from Operation: 89-84=5
Current State: 15:[3, 5], Operations: ['27/9=3', '89-84=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
13,
65,
28,
50
] | 18 | [
"65/13=5",
"50/5=10",
"28-10=18"
] | Current State: 18:[13, 65, 28, 50], Operations: []
Exploring Operation: 65/13=5, Resulting Numbers: [28, 50, 5]
Generated Node #2: [28, 50, 5] from Operation: 65/13=5
Current State: 18:[28, 50, 5], Operations: ['65/13=5']
Exploring Operation: 50/5=10, Resulting Numbers: [28, 10]
Generated Node #3: [28, 10] from Operation: 50/5=10
Current State: 18:[28, 10], Operations: ['65/13=5', '50/5=10']
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
67,
65,
72,
23
] | 83 | [
"67+65=132",
"72-23=49",
"132-49=83"
] | Current State: 83:[67, 65, 72, 23], Operations: []
Exploring Operation: 67+65=132, Resulting Numbers: [72, 23, 132]
Generated Node #2: [72, 23, 132] from Operation: 67+65=132
Current State: 83:[72, 23, 132], Operations: ['67+65=132']
Exploring Operation: 72-23=49, Resulting Numbers: [132, 49]
Generated Node #3: [132, 49] from Operation: 72-23=49
Current State: 83:[132, 49], Operations: ['67+65=132', '72-23=49']
Exploring Operation: 132-49=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
98,
90,
78,
27
] | 43 | [
"98-90=8",
"78-27=51",
"51-8=43"
] | Current State: 43:[98, 90, 78, 27], Operations: []
Exploring Operation: 98-90=8, Resulting Numbers: [78, 27, 8]
Generated Node #2: [78, 27, 8] from Operation: 98-90=8
Current State: 43:[78, 27, 8], Operations: ['98-90=8']
Exploring Operation: 78-27=51, Resulting Numbers: [8, 51]
Generated Node #3: [8, 51] from Operation: 78-27=51
Current State: 43:[8, 51], Operations: ['98-90=8', '78-27=51']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
69,
67,
24,
75
] | 71 | [
"75-69=6",
"24/6=4",
"67+4=71"
] | Current State: 71:[69, 67, 24, 75], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [67, 24, 6]
Generated Node #2: [67, 24, 6] from Operation: 75-69=6
Current State: 71:[67, 24, 6], Operations: ['75-69=6']
Exploring Operation: 24/6=4, Resulting Numbers: [67, 4]
Generated Node #3: [67, 4] from Operation: 24/6=4
Current State: 71:[67, 4], Operations: ['75-69=6', '24/6=4']
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
27,
18,
68,
33
] | 40 | [
"33-27=6",
"18*6=108",
"108-68=40"
] | Current State: 40:[27, 18, 68, 33], Operations: []
Exploring Operation: 33-27=6, Resulting Numbers: [18, 68, 6]
Generated Node #2: [18, 68, 6] from Operation: 33-27=6
Current State: 40:[18, 68, 6], Operations: ['33-27=6']
Exploring Operation: 18*6=108, Resulting Numbers: [68, 108]
Generated Node #3: [68, 108] from Operation: 18*6=108
Current State: 40:[68, 108], Operations: ['33-27=6', '18*6=108']
Exploring Operation: 108-68=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
59,
85,
17,
48
] | 39 | [
"85-59=26",
"17+48=65",
"65-26=39"
] | Current State: 39:[59, 85, 17, 48], Operations: []
Exploring Operation: 85-59=26, Resulting Numbers: [17, 48, 26]
Generated Node #2: [17, 48, 26] from Operation: 85-59=26
Current State: 39:[17, 48, 26], Operations: ['85-59=26']
Exploring Operation: 17+48=65, Resulting Numbers: [26, 65]
Generated Node #3: [26, 65] from Operation: 17+48=65
Current State: 39:[26, 65], Operations: ['85-59=26', '17+48=65']
Exploring Operation: 65-26=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
61,
75,
2,
69
] | 58 | [
"75-69=6",
"6/2=3",
"61-3=58"
] | Current State: 58:[61, 75, 2, 69], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [61, 2, 6]
Generated Node #2: [61, 2, 6] from Operation: 75-69=6
Current State: 58:[61, 2, 6], Operations: ['75-69=6']
Exploring Operation: 6/2=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 6/2=3
Current State: 58:[61, 3], Operations: ['75-69=6', '6/2=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
15,
64,
31,
48
] | 66 | [
"64-15=49",
"48-31=17",
"49+17=66"
] | Current State: 66:[15, 64, 31, 48], Operations: []
Exploring Operation: 64-15=49, Resulting Numbers: [31, 48, 49]
Generated Node #2: [31, 48, 49] from Operation: 64-15=49
Current State: 66:[31, 48, 49], Operations: ['64-15=49']
Exploring Operation: 48-31=17, Resulting Numbers: [49, 17]
Generated Node #3: [49, 17] from Operation: 48-31=17
Current State: 66:[49, 17], Operations: ['64-15=49', '48-31=17']
Exploring Operation: 49+17=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
37,
1,
61,
15
] | 40 | [
"37-1=36",
"61+15=76",
"76-36=40"
] | Current State: 40:[37, 1, 61, 15], Operations: []
Exploring Operation: 37-1=36, Resulting Numbers: [61, 15, 36]
Generated Node #2: [61, 15, 36] from Operation: 37-1=36
Current State: 40:[61, 15, 36], Operations: ['37-1=36']
Exploring Operation: 61+15=76, Resulting Numbers: [36, 76]
Generated Node #3: [36, 76] from Operation: 61+15=76
Current State: 40:[36, 76], Operations: ['37-1=36', '61+15=76']
Exploring Operation: 76-36=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
30,
28,
24,
63
] | 89 | [
"30-28=2",
"24+63=87",
"2+87=89"
] | Current State: 89:[30, 28, 24, 63], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [24, 63, 2]
Generated Node #2: [24, 63, 2] from Operation: 30-28=2
Current State: 89:[24, 63, 2], Operations: ['30-28=2']
Exploring Operation: 24+63=87, Resulting Numbers: [2, 87]
Generated Node #3: [2, 87] from Operation: 24+63=87
Current State: 89:[2, 87], Operations: ['30-28=2', '24+63=87']
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
63,
5,
6,
31
] | 57 | [
"5+31=36",
"36/6=6",
"63-6=57"
] | Current State: 57:[63, 5, 6, 31], Operations: []
Exploring Operation: 5+31=36, Resulting Numbers: [63, 6, 36]
Generated Node #2: [63, 6, 36] from Operation: 5+31=36
Current State: 57:[63, 6, 36], Operations: ['5+31=36']
Exploring Operation: 36/6=6, Resulting Numbers: [63, 6]
Generated Node #3: [63, 6] from Operation: 36/6=6
Current State: 57:[63, 6], Operations: ['5+31=36', '36/6=6']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
13,
19,
20,
20
] | 72 | [
"13+19=32",
"20+20=40",
"32+40=72"
] | Current State: 72:[13, 19, 20, 20], Operations: []
Exploring Operation: 13+19=32, Resulting Numbers: [20, 20, 32]
Generated Node #2: [20, 20, 32] from Operation: 13+19=32
Current State: 72:[20, 20, 32], Operations: ['13+19=32']
Exploring Operation: 20+20=40, Resulting Numbers: [32, 40]
Generated Node #3: [32, 40] from Operation: 20+20=40
Current State: 72:[32, 40], Operations: ['13+19=32', '20+20=40']
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
36,
84,
20,
10
] | 70 | [
"20+10=30",
"84*30=2520",
"2520/36=70"
] | Current State: 70:[36, 84, 20, 10], Operations: []
Exploring Operation: 20+10=30, Resulting Numbers: [36, 84, 30]
Generated Node #2: [36, 84, 30] from Operation: 20+10=30
Current State: 70:[36, 84, 30], Operations: ['20+10=30']
Exploring Operation: 84*30=2520, Resulting Numbers: [36, 2520]
Generated Node #3: [36, 2520] from Operation: 84*30=2520
Current State: 70:[36, 2520], Operations: ['20+10=30', '84*30=2520']
Exploring Operation: 2520/36=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
4,
42,
46,
2
] | 42 | [
"42-4=38",
"46+38=84",
"84/2=42"
] | Current State: 42:[4, 42, 46, 2], Operations: []
Exploring Operation: 42-4=38, Resulting Numbers: [46, 2, 38]
Generated Node #2: [46, 2, 38] from Operation: 42-4=38
Current State: 42:[46, 2, 38], Operations: ['42-4=38']
Exploring Operation: 46+38=84, Resulting Numbers: [2, 84]
Generated Node #3: [2, 84] from Operation: 46+38=84
Current State: 42:[2, 84], Operations: ['42-4=38', '46+38=84']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
67,
40,
80,
73
] | 46 | [
"67+40=107",
"80+73=153",
"153-107=46"
] | Current State: 46:[67, 40, 80, 73], Operations: []
Exploring Operation: 67+40=107, Resulting Numbers: [80, 73, 107]
Generated Node #2: [80, 73, 107] from Operation: 67+40=107
Current State: 46:[80, 73, 107], Operations: ['67+40=107']
Exploring Operation: 80+73=153, Resulting Numbers: [107, 153]
Generated Node #3: [107, 153] from Operation: 80+73=153
Current State: 46:[107, 153], Operations: ['67+40=107', '80+73=153']
Exploring Operation: 153-107=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
7,
45,
36,
22
] | 12 | [
"22-7=15",
"45/15=3",
"36/3=12"
] | Current State: 12:[7, 45, 36, 22], Operations: []
Exploring Operation: 22-7=15, Resulting Numbers: [45, 36, 15]
Generated Node #2: [45, 36, 15] from Operation: 22-7=15
Current State: 12:[45, 36, 15], Operations: ['22-7=15']
Exploring Operation: 45/15=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 45/15=3
Current State: 12:[36, 3], Operations: ['22-7=15', '45/15=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
63,
44,
96,
93
] | 57 | [
"63-44=19",
"96-93=3",
"19*3=57"
] | Current State: 57:[63, 44, 96, 93], Operations: []
Exploring Operation: 63-44=19, Resulting Numbers: [96, 93, 19]
Generated Node #2: [96, 93, 19] from Operation: 63-44=19
Current State: 57:[96, 93, 19], Operations: ['63-44=19']
Exploring Operation: 96-93=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 96-93=3
Current State: 57:[19, 3], Operations: ['63-44=19', '96-93=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
42,
82,
1,
85
] | 39 | [
"42+82=124",
"1*85=85",
"124-85=39"
] | Current State: 39:[42, 82, 1, 85], Operations: []
Exploring Operation: 42+82=124, Resulting Numbers: [1, 85, 124]
Generated Node #2: [1, 85, 124] from Operation: 42+82=124
Current State: 39:[1, 85, 124], Operations: ['42+82=124']
Exploring Operation: 1*85=85, Resulting Numbers: [124, 85]
Generated Node #3: [124, 85] from Operation: 1*85=85
Current State: 39:[124, 85], Operations: ['42+82=124', '1*85=85']
Exploring Operation: 124-85=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
37,
25,
5,
40
] | 96 | [
"37-25=12",
"40/5=8",
"12*8=96"
] | Current State: 96:[37, 25, 5, 40], Operations: []
Exploring Operation: 37-25=12, Resulting Numbers: [5, 40, 12]
Generated Node #2: [5, 40, 12] from Operation: 37-25=12
Current State: 96:[5, 40, 12], Operations: ['37-25=12']
Exploring Operation: 40/5=8, Resulting Numbers: [12, 8]
Generated Node #3: [12, 8] from Operation: 40/5=8
Current State: 96:[12, 8], Operations: ['37-25=12', '40/5=8']
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
32,
4,
11,
56
] | 66 | [
"56-32=24",
"24/4=6",
"11*6=66"
] | Current State: 66:[32, 4, 11, 56], Operations: []
Exploring Operation: 56-32=24, Resulting Numbers: [4, 11, 24]
Generated Node #2: [4, 11, 24] from Operation: 56-32=24
Current State: 66:[4, 11, 24], Operations: ['56-32=24']
Exploring Operation: 24/4=6, Resulting Numbers: [11, 6]
Generated Node #3: [11, 6] from Operation: 24/4=6
Current State: 66:[11, 6], Operations: ['56-32=24', '24/4=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
18,
4,
72,
11
] | 40 | [
"72/18=4",
"4*11=44",
"44-4=40"
] | Current State: 40:[18, 4, 72, 11], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [4, 11, 4]
Generated Node #2: [4, 11, 4] from Operation: 72/18=4
Current State: 40:[4, 11, 4], Operations: ['72/18=4']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,40 equal: Goal Reached
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
27,
38,
89,
43
] | 57 | [
"38-27=11",
"89-43=46",
"11+46=57"
] | Current State: 57:[27, 38, 89, 43], Operations: []
Exploring Operation: 38-27=11, Resulting Numbers: [89, 43, 11]
Generated Node #2: [89, 43, 11] from Operation: 38-27=11
Current State: 57:[89, 43, 11], Operations: ['38-27=11']
Exploring Operation: 89-43=46, Resulting Numbers: [11, 46]
Generated Node #3: [11, 46] from Operation: 89-43=46
Current State: 57:[11, 46], Operations: ['38-27=11', '89-43=46']
Exploring Operation: 11+46=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
12,
28,
19,
8
] | 67 | [
"12+28=40",
"19+8=27",
"40+27=67"
] | Current State: 67:[12, 28, 19, 8], Operations: []
Exploring Operation: 12+28=40, Resulting Numbers: [19, 8, 40]
Generated Node #2: [19, 8, 40] from Operation: 12+28=40
Current State: 67:[19, 8, 40], Operations: ['12+28=40']
Exploring Operation: 19+8=27, Resulting Numbers: [40, 27]
Generated Node #3: [40, 27] from Operation: 19+8=27
Current State: 67:[40, 27], Operations: ['12+28=40', '19+8=27']
Exploring Operation: 40+27=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
24,
85,
3,
9
] | 87 | [
"3+9=12",
"24/12=2",
"85+2=87"
] | Current State: 87:[24, 85, 3, 9], Operations: []
Exploring Operation: 3+9=12, Resulting Numbers: [24, 85, 12]
Generated Node #2: [24, 85, 12] from Operation: 3+9=12
Current State: 87:[24, 85, 12], Operations: ['3+9=12']
Exploring Operation: 24/12=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 24/12=2
Current State: 87:[85, 2], Operations: ['3+9=12', '24/12=2']
Exploring Operation: 85+2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
71,
15,
8,
35
] | 84 | [
"71-35=36",
"15*8=120",
"120-36=84"
] | Current State: 84:[71, 15, 8, 35], Operations: []
Exploring Operation: 71-35=36, Resulting Numbers: [15, 8, 36]
Generated Node #2: [15, 8, 36] from Operation: 71-35=36
Current State: 84:[15, 8, 36], Operations: ['71-35=36']
Exploring Operation: 15*8=120, Resulting Numbers: [36, 120]
Generated Node #3: [36, 120] from Operation: 15*8=120
Current State: 84:[36, 120], Operations: ['71-35=36', '15*8=120']
Exploring Operation: 120-36=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
60,
43,
55,
61
] | 13 | [
"60+43=103",
"55+61=116",
"116-103=13"
] | Current State: 13:[60, 43, 55, 61], Operations: []
Exploring Operation: 60+43=103, Resulting Numbers: [55, 61, 103]
Generated Node #2: [55, 61, 103] from Operation: 60+43=103
Current State: 13:[55, 61, 103], Operations: ['60+43=103']
Exploring Operation: 55+61=116, Resulting Numbers: [103, 116]
Generated Node #3: [103, 116] from Operation: 55+61=116
Current State: 13:[103, 116], Operations: ['60+43=103', '55+61=116']
Exploring Operation: 116-103=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
67,
40,
12,
15
] | 53 | [
"15-12=3",
"40*3=120",
"120-67=53"
] | Current State: 53:[67, 40, 12, 15], Operations: []
Exploring Operation: 15-12=3, Resulting Numbers: [67, 40, 3]
Generated Node #2: [67, 40, 3] from Operation: 15-12=3
Current State: 53:[67, 40, 3], Operations: ['15-12=3']
Exploring Operation: 40*3=120, Resulting Numbers: [67, 120]
Generated Node #3: [67, 120] from Operation: 40*3=120
Current State: 53:[67, 120], Operations: ['15-12=3', '40*3=120']
Exploring Operation: 120-67=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
26,
39,
33,
77
] | 31 | [
"39-26=13",
"77-33=44",
"44-13=31"
] | Current State: 31:[26, 39, 33, 77], Operations: []
Exploring Operation: 39-26=13, Resulting Numbers: [33, 77, 13]
Generated Node #2: [33, 77, 13] from Operation: 39-26=13
Current State: 31:[33, 77, 13], Operations: ['39-26=13']
Exploring Operation: 77-33=44, Resulting Numbers: [13, 44]
Generated Node #3: [13, 44] from Operation: 77-33=44
Current State: 31:[13, 44], Operations: ['39-26=13', '77-33=44']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
65,
6,
79,
38
] | 100 | [
"65-6=59",
"79-38=41",
"59+41=100"
] | Current State: 100:[65, 6, 79, 38], Operations: []
Exploring Operation: 65-6=59, Resulting Numbers: [79, 38, 59]
Generated Node #2: [79, 38, 59] from Operation: 65-6=59
Current State: 100:[79, 38, 59], Operations: ['65-6=59']
Exploring Operation: 79-38=41, Resulting Numbers: [59, 41]
Generated Node #3: [59, 41] from Operation: 79-38=41
Current State: 100:[59, 41], Operations: ['65-6=59', '79-38=41']
Exploring Operation: 59+41=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
18,
30,
48,
31
] | 91 | [
"30-18=12",
"48+31=79",
"12+79=91"
] | Current State: 91:[18, 30, 48, 31], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [48, 31, 12]
Generated Node #2: [48, 31, 12] from Operation: 30-18=12
Current State: 91:[48, 31, 12], Operations: ['30-18=12']
Exploring Operation: 48+31=79, Resulting Numbers: [12, 79]
Generated Node #3: [12, 79] from Operation: 48+31=79
Current State: 91:[12, 79], Operations: ['30-18=12', '48+31=79']
Exploring Operation: 12+79=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
97,
30,
70,
7
] | 10 | [
"97-30=67",
"70+7=77",
"77-67=10"
] | Current State: 10:[97, 30, 70, 7], Operations: []
Exploring Operation: 97-30=67, Resulting Numbers: [70, 7, 67]
Generated Node #2: [70, 7, 67] from Operation: 97-30=67
Current State: 10:[70, 7, 67], Operations: ['97-30=67']
Exploring Operation: 70+7=77, Resulting Numbers: [67, 77]
Generated Node #3: [67, 77] from Operation: 70+7=77
Current State: 10:[67, 77], Operations: ['97-30=67', '70+7=77']
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
22,
3,
7,
44
] | 88 | [
"44-22=22",
"7-3=4",
"22*4=88"
] | Current State: 88:[22, 3, 7, 44], Operations: []
Exploring Operation: 44-22=22, Resulting Numbers: [3, 7, 22]
Generated Node #2: [3, 7, 22] from Operation: 44-22=22
Current State: 88:[3, 7, 22], Operations: ['44-22=22']
Exploring Operation: 7-3=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 7-3=4
Current State: 88:[22, 4], Operations: ['44-22=22', '7-3=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
75,
35,
97,
28
] | 29 | [
"75-35=40",
"97-28=69",
"69-40=29"
] | Current State: 29:[75, 35, 97, 28], Operations: []
Exploring Operation: 75-35=40, Resulting Numbers: [97, 28, 40]
Generated Node #2: [97, 28, 40] from Operation: 75-35=40
Current State: 29:[97, 28, 40], Operations: ['75-35=40']
Exploring Operation: 97-28=69, Resulting Numbers: [40, 69]
Generated Node #3: [40, 69] from Operation: 97-28=69
Current State: 29:[40, 69], Operations: ['75-35=40', '97-28=69']
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
73,
68,
25,
88
] | 37 | [
"73-68=5",
"25*5=125",
"125-88=37"
] | Current State: 37:[73, 68, 25, 88], Operations: []
Exploring Operation: 73-68=5, Resulting Numbers: [25, 88, 5]
Generated Node #2: [25, 88, 5] from Operation: 73-68=5
Current State: 37:[25, 88, 5], Operations: ['73-68=5']
Exploring Operation: 25*5=125, Resulting Numbers: [88, 125]
Generated Node #3: [88, 125] from Operation: 25*5=125
Current State: 37:[88, 125], Operations: ['73-68=5', '25*5=125']
Exploring Operation: 125-88=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
70,
67,
27,
59
] | 15 | [
"70*27=1890",
"67+59=126",
"1890/126=15"
] | Current State: 15:[70, 67, 27, 59], Operations: []
Exploring Operation: 70*27=1890, Resulting Numbers: [67, 59, 1890]
Generated Node #2: [67, 59, 1890] from Operation: 70*27=1890
Current State: 15:[67, 59, 1890], Operations: ['70*27=1890']
Exploring Operation: 67+59=126, Resulting Numbers: [1890, 126]
Generated Node #3: [1890, 126] from Operation: 67+59=126
Current State: 15:[1890, 126], Operations: ['70*27=1890', '67+59=126']
Exploring Operation: 1890/126=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
52,
31,
79,
62
] | 100 | [
"52+31=83",
"79-62=17",
"83+17=100"
] | Current State: 100:[52, 31, 79, 62], Operations: []
Exploring Operation: 52+31=83, Resulting Numbers: [79, 62, 83]
Generated Node #2: [79, 62, 83] from Operation: 52+31=83
Current State: 100:[79, 62, 83], Operations: ['52+31=83']
Exploring Operation: 79-62=17, Resulting Numbers: [83, 17]
Generated Node #3: [83, 17] from Operation: 79-62=17
Current State: 100:[83, 17], Operations: ['52+31=83', '79-62=17']
Exploring Operation: 83+17=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
35,
16,
18,
91
] | 58 | [
"35+16=51",
"18+91=109",
"109-51=58"
] | Current State: 58:[35, 16, 18, 91], Operations: []
Exploring Operation: 35+16=51, Resulting Numbers: [18, 91, 51]
Generated Node #2: [18, 91, 51] from Operation: 35+16=51
Current State: 58:[18, 91, 51], Operations: ['35+16=51']
Exploring Operation: 18+91=109, Resulting Numbers: [51, 109]
Generated Node #3: [51, 109] from Operation: 18+91=109
Current State: 58:[51, 109], Operations: ['35+16=51', '18+91=109']
Exploring Operation: 109-51=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
32,
96,
85,
9
] | 97 | [
"96/32=3",
"85+9=94",
"3+94=97"
] | Current State: 97:[32, 96, 85, 9], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [85, 9, 3]
Generated Node #2: [85, 9, 3] from Operation: 96/32=3
Current State: 97:[85, 9, 3], Operations: ['96/32=3']
Exploring Operation: 85+9=94, Resulting Numbers: [3, 94]
Generated Node #3: [3, 94] from Operation: 85+9=94
Current State: 97:[3, 94], Operations: ['96/32=3', '85+9=94']
Exploring Operation: 3+94=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
92,
44,
97,
52
] | 93 | [
"92-44=48",
"97-52=45",
"48+45=93"
] | Current State: 93:[92, 44, 97, 52], Operations: []
Exploring Operation: 92-44=48, Resulting Numbers: [97, 52, 48]
Generated Node #2: [97, 52, 48] from Operation: 92-44=48
Current State: 93:[97, 52, 48], Operations: ['92-44=48']
Exploring Operation: 97-52=45, Resulting Numbers: [48, 45]
Generated Node #3: [48, 45] from Operation: 97-52=45
Current State: 93:[48, 45], Operations: ['92-44=48', '97-52=45']
Exploring Operation: 48+45=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
90,
54,
2,
82
] | 58 | [
"90-82=8",
"8/2=4",
"54+4=58"
] | Current State: 58:[90, 54, 2, 82], Operations: []
Exploring Operation: 90-82=8, Resulting Numbers: [54, 2, 8]
Generated Node #2: [54, 2, 8] from Operation: 90-82=8
Current State: 58:[54, 2, 8], Operations: ['90-82=8']
Exploring Operation: 8/2=4, Resulting Numbers: [54, 4]
Generated Node #3: [54, 4] from Operation: 8/2=4
Current State: 58:[54, 4], Operations: ['90-82=8', '8/2=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
21,
91,
69,
91
] | 47 | [
"69-21=48",
"91/91=1",
"48-1=47"
] | Current State: 47:[21, 91, 69, 91], Operations: []
Exploring Operation: 69-21=48, Resulting Numbers: [91, 91, 48]
Generated Node #2: [91, 91, 48] from Operation: 69-21=48
Current State: 47:[91, 91, 48], Operations: ['69-21=48']
Exploring Operation: 91/91=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 91/91=1
Current State: 47:[48, 1], Operations: ['69-21=48', '91/91=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
79,
21,
51,
50
] | 99 | [
"79+21=100",
"51-50=1",
"100-1=99"
] | Current State: 99:[79, 21, 51, 50], Operations: []
Exploring Operation: 79+21=100, Resulting Numbers: [51, 50, 100]
Generated Node #2: [51, 50, 100] from Operation: 79+21=100
Current State: 99:[51, 50, 100], Operations: ['79+21=100']
Exploring Operation: 51-50=1, Resulting Numbers: [100, 1]
Generated Node #3: [100, 1] from Operation: 51-50=1
Current State: 99:[100, 1], Operations: ['79+21=100', '51-50=1']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
34,
36,
46,
44
] | 50 | [
"36*46=1656",
"44+1656=1700",
"1700/34=50"
] | Current State: 50:[34, 36, 46, 44], Operations: []
Exploring Operation: 36*46=1656, Resulting Numbers: [34, 44, 1656]
Generated Node #2: [34, 44, 1656] from Operation: 36*46=1656
Current State: 50:[34, 44, 1656], Operations: ['36*46=1656']
Exploring Operation: 44+1656=1700, Resulting Numbers: [34, 1700]
Generated Node #3: [34, 1700] from Operation: 44+1656=1700
Current State: 50:[34, 1700], Operations: ['36*46=1656', '44+1656=1700']
Exploring Operation: 1700/34=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
11,
64,
72,
48
] | 85 | [
"64*72=4608",
"4608/48=96",
"96-11=85"
] | Current State: 85:[11, 64, 72, 48], Operations: []
Exploring Operation: 64*72=4608, Resulting Numbers: [11, 48, 4608]
Generated Node #2: [11, 48, 4608] from Operation: 64*72=4608
Current State: 85:[11, 48, 4608], Operations: ['64*72=4608']
Exploring Operation: 4608/48=96, Resulting Numbers: [11, 96]
Generated Node #3: [11, 96] from Operation: 4608/48=96
Current State: 85:[11, 96], Operations: ['64*72=4608', '4608/48=96']
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
5,
21,
52,
14
] | 45 | [
"21+14=35",
"35/5=7",
"52-7=45"
] | Current State: 45:[5, 21, 52, 14], Operations: []
Exploring Operation: 21+14=35, Resulting Numbers: [5, 52, 35]
Generated Node #2: [5, 52, 35] from Operation: 21+14=35
Current State: 45:[5, 52, 35], Operations: ['21+14=35']
Exploring Operation: 35/5=7, Resulting Numbers: [52, 7]
Generated Node #3: [52, 7] from Operation: 35/5=7
Current State: 45:[52, 7], Operations: ['21+14=35', '35/5=7']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
54,
44,
11,
18
] | 76 | [
"54+18=72",
"44/11=4",
"72+4=76"
] | Current State: 76:[54, 44, 11, 18], Operations: []
Exploring Operation: 54+18=72, Resulting Numbers: [44, 11, 72]
Generated Node #2: [44, 11, 72] from Operation: 54+18=72
Current State: 76:[44, 11, 72], Operations: ['54+18=72']
Exploring Operation: 44/11=4, Resulting Numbers: [72, 4]
Generated Node #3: [72, 4] from Operation: 44/11=4
Current State: 76:[72, 4], Operations: ['54+18=72', '44/11=4']
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
56,
3,
12,
98
] | 78 | [
"98-56=42",
"3*12=36",
"42+36=78"
] | Current State: 78:[56, 3, 12, 98], Operations: []
Exploring Operation: 98-56=42, Resulting Numbers: [3, 12, 42]
Generated Node #2: [3, 12, 42] from Operation: 98-56=42
Current State: 78:[3, 12, 42], Operations: ['98-56=42']
Exploring Operation: 3*12=36, Resulting Numbers: [42, 36]
Generated Node #3: [42, 36] from Operation: 3*12=36
Current State: 78:[42, 36], Operations: ['98-56=42', '3*12=36']
Exploring Operation: 42+36=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
12,
85,
42,
93
] | 38 | [
"12+85=97",
"42+93=135",
"135-97=38"
] | Current State: 38:[12, 85, 42, 93], Operations: []
Exploring Operation: 12+85=97, Resulting Numbers: [42, 93, 97]
Generated Node #2: [42, 93, 97] from Operation: 12+85=97
Current State: 38:[42, 93, 97], Operations: ['12+85=97']
Exploring Operation: 42+93=135, Resulting Numbers: [97, 135]
Generated Node #3: [97, 135] from Operation: 42+93=135
Current State: 38:[97, 135], Operations: ['12+85=97', '42+93=135']
Exploring Operation: 135-97=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
27,
10,
26,
76
] | 58 | [
"27*26=702",
"10*76=760",
"760-702=58"
] | Current State: 58:[27, 10, 26, 76], Operations: []
Exploring Operation: 27*26=702, Resulting Numbers: [10, 76, 702]
Generated Node #2: [10, 76, 702] from Operation: 27*26=702
Current State: 58:[10, 76, 702], Operations: ['27*26=702']
Exploring Operation: 10*76=760, Resulting Numbers: [702, 760]
Generated Node #3: [702, 760] from Operation: 10*76=760
Current State: 58:[702, 760], Operations: ['27*26=702', '10*76=760']
Exploring Operation: 760-702=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
32,
1,
29,
49
] | 11 | [
"32-1=31",
"49-29=20",
"31-20=11"
] | Current State: 11:[32, 1, 29, 49], Operations: []
Exploring Operation: 32-1=31, Resulting Numbers: [29, 49, 31]
Generated Node #2: [29, 49, 31] from Operation: 32-1=31
Current State: 11:[29, 49, 31], Operations: ['32-1=31']
Exploring Operation: 49-29=20, Resulting Numbers: [31, 20]
Generated Node #3: [31, 20] from Operation: 49-29=20
Current State: 11:[31, 20], Operations: ['32-1=31', '49-29=20']
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
62,
90,
50,
72
] | 84 | [
"62-50=12",
"72/12=6",
"90-6=84"
] | Current State: 84:[62, 90, 50, 72], Operations: []
Exploring Operation: 62-50=12, Resulting Numbers: [90, 72, 12]
Generated Node #2: [90, 72, 12] from Operation: 62-50=12
Current State: 84:[90, 72, 12], Operations: ['62-50=12']
Exploring Operation: 72/12=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 72/12=6
Current State: 84:[90, 6], Operations: ['62-50=12', '72/12=6']
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
60,
12,
32,
72
] | 35 | [
"60/12=5",
"72-32=40",
"40-5=35"
] | Current State: 35:[60, 12, 32, 72], Operations: []
Exploring Operation: 60/12=5, Resulting Numbers: [32, 72, 5]
Generated Node #2: [32, 72, 5] from Operation: 60/12=5
Current State: 35:[32, 72, 5], Operations: ['60/12=5']
Exploring Operation: 72-32=40, Resulting Numbers: [5, 40]
Generated Node #3: [5, 40] from Operation: 72-32=40
Current State: 35:[5, 40], Operations: ['60/12=5', '72-32=40']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
4,
5,
44,
9
] | 62 | [
"4+5=9",
"44+9=53",
"9+53=62"
] | Current State: 62:[4, 5, 44, 9], Operations: []
Exploring Operation: 4+5=9, Resulting Numbers: [44, 9, 9]
Generated Node #2: [44, 9, 9] from Operation: 4+5=9
Current State: 62:[44, 9, 9], Operations: ['4+5=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,62 equal: Goal Reached
Exploring Operation: 9+53=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
5,
40,
45,
37
] | 36 | [
"5+40=45",
"45/45=1",
"37-1=36"
] | Current State: 36:[5, 40, 45, 37], Operations: []
Exploring Operation: 5+40=45, Resulting Numbers: [45, 37, 45]
Generated Node #2: [45, 37, 45] from Operation: 5+40=45
Current State: 36:[45, 37, 45], Operations: ['5+40=45']
Exploring Operation: 45/45=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 45/45=1
Current State: 36:[37, 1], Operations: ['5+40=45', '45/45=1']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
6,
11,
13,
2
] | 69 | [
"6*13=78",
"11-2=9",
"78-9=69"
] | Current State: 69:[6, 11, 13, 2], Operations: []
Exploring Operation: 6*13=78, Resulting Numbers: [11, 2, 78]
Generated Node #2: [11, 2, 78] from Operation: 6*13=78
Current State: 69:[11, 2, 78], Operations: ['6*13=78']
Exploring Operation: 11-2=9, Resulting Numbers: [78, 9]
Generated Node #3: [78, 9] from Operation: 11-2=9
Current State: 69:[78, 9], Operations: ['6*13=78', '11-2=9']
Exploring Operation: 78-9=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
68,
23,
12,
99
] | 59 | [
"23-12=11",
"99/11=9",
"68-9=59"
] | Current State: 59:[68, 23, 12, 99], Operations: []
Exploring Operation: 23-12=11, Resulting Numbers: [68, 99, 11]
Generated Node #2: [68, 99, 11] from Operation: 23-12=11
Current State: 59:[68, 99, 11], Operations: ['23-12=11']
Exploring Operation: 99/11=9, Resulting Numbers: [68, 9]
Generated Node #3: [68, 9] from Operation: 99/11=9
Current State: 59:[68, 9], Operations: ['23-12=11', '99/11=9']
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
90,
17,
46,
62
] | 92 | [
"90*46=4140",
"62-17=45",
"4140/45=92"
] | Current State: 92:[90, 17, 46, 62], Operations: []
Exploring Operation: 90*46=4140, Resulting Numbers: [17, 62, 4140]
Generated Node #2: [17, 62, 4140] from Operation: 90*46=4140
Current State: 92:[17, 62, 4140], Operations: ['90*46=4140']
Exploring Operation: 62-17=45, Resulting Numbers: [4140, 45]
Generated Node #3: [4140, 45] from Operation: 62-17=45
Current State: 92:[4140, 45], Operations: ['90*46=4140', '62-17=45']
Exploring Operation: 4140/45=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
17,
6,
19,
62
] | 65 | [
"19-17=2",
"6/2=3",
"62+3=65"
] | Current State: 65:[17, 6, 19, 62], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [6, 62, 2]
Generated Node #2: [6, 62, 2] from Operation: 19-17=2
Current State: 65:[6, 62, 2], Operations: ['19-17=2']
Exploring Operation: 6/2=3, Resulting Numbers: [62, 3]
Generated Node #3: [62, 3] from Operation: 6/2=3
Current State: 65:[62, 3], Operations: ['19-17=2', '6/2=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
52,
84,
57,
55
] | 80 | [
"84-52=32",
"57+55=112",
"112-32=80"
] | Current State: 80:[52, 84, 57, 55], Operations: []
Exploring Operation: 84-52=32, Resulting Numbers: [57, 55, 32]
Generated Node #2: [57, 55, 32] from Operation: 84-52=32
Current State: 80:[57, 55, 32], Operations: ['84-52=32']
Exploring Operation: 57+55=112, Resulting Numbers: [32, 112]
Generated Node #3: [32, 112] from Operation: 57+55=112
Current State: 80:[32, 112], Operations: ['84-52=32', '57+55=112']
Exploring Operation: 112-32=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
73,
5,
47,
35
] | 59 | [
"73+47=120",
"120/5=24",
"35+24=59"
] | Current State: 59:[73, 5, 47, 35], Operations: []
Exploring Operation: 73+47=120, Resulting Numbers: [5, 35, 120]
Generated Node #2: [5, 35, 120] from Operation: 73+47=120
Current State: 59:[5, 35, 120], Operations: ['73+47=120']
Exploring Operation: 120/5=24, Resulting Numbers: [35, 24]
Generated Node #3: [35, 24] from Operation: 120/5=24
Current State: 59:[35, 24], Operations: ['73+47=120', '120/5=24']
Exploring Operation: 35+24=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
62,
94,
36,
79
] | 41 | [
"62+94=156",
"36+79=115",
"156-115=41"
] | Current State: 41:[62, 94, 36, 79], Operations: []
Exploring Operation: 62+94=156, Resulting Numbers: [36, 79, 156]
Generated Node #2: [36, 79, 156] from Operation: 62+94=156
Current State: 41:[36, 79, 156], Operations: ['62+94=156']
Exploring Operation: 36+79=115, Resulting Numbers: [156, 115]
Generated Node #3: [156, 115] from Operation: 36+79=115
Current State: 41:[156, 115], Operations: ['62+94=156', '36+79=115']
Exploring Operation: 156-115=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
45,
2,
79,
96
] | 64 | [
"45+2=47",
"96-79=17",
"47+17=64"
] | Current State: 64:[45, 2, 79, 96], Operations: []
Exploring Operation: 45+2=47, Resulting Numbers: [79, 96, 47]
Generated Node #2: [79, 96, 47] from Operation: 45+2=47
Current State: 64:[79, 96, 47], Operations: ['45+2=47']
Exploring Operation: 96-79=17, Resulting Numbers: [47, 17]
Generated Node #3: [47, 17] from Operation: 96-79=17
Current State: 64:[47, 17], Operations: ['45+2=47', '96-79=17']
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
26,
10,
80,
34
] | 62 | [
"26-10=16",
"80-34=46",
"16+46=62"
] | Current State: 62:[26, 10, 80, 34], Operations: []
Exploring Operation: 26-10=16, Resulting Numbers: [80, 34, 16]
Generated Node #2: [80, 34, 16] from Operation: 26-10=16
Current State: 62:[80, 34, 16], Operations: ['26-10=16']
Exploring Operation: 80-34=46, Resulting Numbers: [16, 46]
Generated Node #3: [16, 46] from Operation: 80-34=46
Current State: 62:[16, 46], Operations: ['26-10=16', '80-34=46']
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
2,
59,
3,
84
] | 33 | [
"2+59=61",
"84/3=28",
"61-28=33"
] | Current State: 33:[2, 59, 3, 84], Operations: []
Exploring Operation: 2+59=61, Resulting Numbers: [3, 84, 61]
Generated Node #2: [3, 84, 61] from Operation: 2+59=61
Current State: 33:[3, 84, 61], Operations: ['2+59=61']
Exploring Operation: 84/3=28, Resulting Numbers: [61, 28]
Generated Node #3: [61, 28] from Operation: 84/3=28
Current State: 33:[61, 28], Operations: ['2+59=61', '84/3=28']
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
62,
49,
33,
11
] | 57 | [
"62-49=13",
"33+11=44",
"13+44=57"
] | Current State: 57:[62, 49, 33, 11], Operations: []
Exploring Operation: 62-49=13, Resulting Numbers: [33, 11, 13]
Generated Node #2: [33, 11, 13] from Operation: 62-49=13
Current State: 57:[33, 11, 13], Operations: ['62-49=13']
Exploring Operation: 33+11=44, Resulting Numbers: [13, 44]
Generated Node #3: [13, 44] from Operation: 33+11=44
Current State: 57:[13, 44], Operations: ['62-49=13', '33+11=44']
Exploring Operation: 13+44=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
84,
27,
51,
59
] | 49 | [
"84-27=57",
"59-51=8",
"57-8=49"
] | Current State: 49:[84, 27, 51, 59], Operations: []
Exploring Operation: 84-27=57, Resulting Numbers: [51, 59, 57]
Generated Node #2: [51, 59, 57] from Operation: 84-27=57
Current State: 49:[51, 59, 57], Operations: ['84-27=57']
Exploring Operation: 59-51=8, Resulting Numbers: [57, 8]
Generated Node #3: [57, 8] from Operation: 59-51=8
Current State: 49:[57, 8], Operations: ['84-27=57', '59-51=8']
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
42,
87,
61,
46
] | 22 | [
"42+87=129",
"61+46=107",
"129-107=22"
] | Current State: 22:[42, 87, 61, 46], Operations: []
Exploring Operation: 42+87=129, Resulting Numbers: [61, 46, 129]
Generated Node #2: [61, 46, 129] from Operation: 42+87=129
Current State: 22:[61, 46, 129], Operations: ['42+87=129']
Exploring Operation: 61+46=107, Resulting Numbers: [129, 107]
Generated Node #3: [129, 107] from Operation: 61+46=107
Current State: 22:[129, 107], Operations: ['42+87=129', '61+46=107']
Exploring Operation: 129-107=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
10,
91,
44,
55
] | 90 | [
"10+91=101",
"55-44=11",
"101-11=90"
] | Current State: 90:[10, 91, 44, 55], Operations: []
Exploring Operation: 10+91=101, Resulting Numbers: [44, 55, 101]
Generated Node #2: [44, 55, 101] from Operation: 10+91=101
Current State: 90:[44, 55, 101], Operations: ['10+91=101']
Exploring Operation: 55-44=11, Resulting Numbers: [101, 11]
Generated Node #3: [101, 11] from Operation: 55-44=11
Current State: 90:[101, 11], Operations: ['10+91=101', '55-44=11']
Exploring Operation: 101-11=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
80,
67,
2,
2
] | 87 | [
"80/2=40",
"40/2=20",
"67+20=87"
] | Current State: 87:[80, 67, 2, 2], Operations: []
Exploring Operation: 80/2=40, Resulting Numbers: [67, 40]
Generated Node #2: [67, 40] from Operation: 80/2=40
Current State: 87:[67, 40], Operations: ['80/2=40']
Exploring Operation: 40/2=20, Resulting Numbers: [67, 20]
Generated Node #3: [67, 20] from Operation: 40/2=20
Current State: 87:[67, 20], Operations: ['80/2=40', '40/2=20']
Exploring Operation: 67+20=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
91,
21,
87,
47
] | 30 | [
"91-21=70",
"87-47=40",
"70-40=30"
] | Current State: 30:[91, 21, 87, 47], Operations: []
Exploring Operation: 91-21=70, Resulting Numbers: [87, 47, 70]
Generated Node #2: [87, 47, 70] from Operation: 91-21=70
Current State: 30:[87, 47, 70], Operations: ['91-21=70']
Exploring Operation: 87-47=40, Resulting Numbers: [70, 40]
Generated Node #3: [70, 40] from Operation: 87-47=40
Current State: 30:[70, 40], Operations: ['91-21=70', '87-47=40']
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
48,
15,
6,
85
] | 53 | [
"85-48=37",
"15*6=90",
"90-37=53"
] | Current State: 53:[48, 15, 6, 85], Operations: []
Exploring Operation: 85-48=37, Resulting Numbers: [15, 6, 37]
Generated Node #2: [15, 6, 37] from Operation: 85-48=37
Current State: 53:[15, 6, 37], Operations: ['85-48=37']
Exploring Operation: 15*6=90, Resulting Numbers: [37, 90]
Generated Node #3: [37, 90] from Operation: 15*6=90
Current State: 53:[37, 90], Operations: ['85-48=37', '15*6=90']
Exploring Operation: 90-37=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
7,
28,
76,
29
] | 68 | [
"28-7=21",
"76-29=47",
"21+47=68"
] | Current State: 68:[7, 28, 76, 29], Operations: []
Exploring Operation: 28-7=21, Resulting Numbers: [76, 29, 21]
Generated Node #2: [76, 29, 21] from Operation: 28-7=21
Current State: 68:[76, 29, 21], Operations: ['28-7=21']
Exploring Operation: 76-29=47, Resulting Numbers: [21, 47]
Generated Node #3: [21, 47] from Operation: 76-29=47
Current State: 68:[21, 47], Operations: ['28-7=21', '76-29=47']
Exploring Operation: 21+47=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
28,
96,
4,
82
] | 86 | [
"28-4=24",
"96/24=4",
"82+4=86"
] | Current State: 86:[28, 96, 4, 82], Operations: []
Exploring Operation: 28-4=24, Resulting Numbers: [96, 82, 24]
Generated Node #2: [96, 82, 24] from Operation: 28-4=24
Current State: 86:[96, 82, 24], Operations: ['28-4=24']
Exploring Operation: 96/24=4, Resulting Numbers: [82, 4]
Generated Node #3: [82, 4] from Operation: 96/24=4
Current State: 86:[82, 4], Operations: ['28-4=24', '96/24=4']
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
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