nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
31,
12,
10,
57
] | 24 | [
"31+12=43",
"10+57=67",
"67-43=24"
] | Current State: 24:[31, 12, 10, 57], Operations: []
Exploring Operation: 31+12=43, Resulting Numbers: [10, 57, 43]
Generated Node #2: [10, 57, 43] from Operation: 31+12=43
Current State: 24:[10, 57, 43], Operations: ['31+12=43']
Exploring Operation: 10+57=67, Resulting Numbers: [43, 67]
Generated Node #3: [43, 67] from Operation: 10+57=67
Current State: 24:[43, 67], Operations: ['31+12=43', '10+57=67']
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
52,
27,
69,
44
] | 54 | [
"52+27=79",
"69-44=25",
"79-25=54"
] | Current State: 54:[52, 27, 69, 44], Operations: []
Exploring Operation: 52+27=79, Resulting Numbers: [69, 44, 79]
Generated Node #2: [69, 44, 79] from Operation: 52+27=79
Current State: 54:[69, 44, 79], Operations: ['52+27=79']
Exploring Operation: 69-44=25, Resulting Numbers: [79, 25]
Generated Node #3: [79, 25] from Operation: 69-44=25
Current State: 54:[79, 25], Operations: ['52+27=79', '69-44=25']
Exploring Operation: 79-25=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
23,
87,
39,
72
] | 97 | [
"87-23=64",
"72-39=33",
"64+33=97"
] | Current State: 97:[23, 87, 39, 72], Operations: []
Exploring Operation: 87-23=64, Resulting Numbers: [39, 72, 64]
Generated Node #2: [39, 72, 64] from Operation: 87-23=64
Current State: 97:[39, 72, 64], Operations: ['87-23=64']
Exploring Operation: 72-39=33, Resulting Numbers: [64, 33]
Generated Node #3: [64, 33] from Operation: 72-39=33
Current State: 97:[64, 33], Operations: ['87-23=64', '72-39=33']
Exploring Operation: 64+33=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
25,
27,
36,
15
] | 73 | [
"25+27=52",
"36-15=21",
"52+21=73"
] | Current State: 73:[25, 27, 36, 15], Operations: []
Exploring Operation: 25+27=52, Resulting Numbers: [36, 15, 52]
Generated Node #2: [36, 15, 52] from Operation: 25+27=52
Current State: 73:[36, 15, 52], Operations: ['25+27=52']
Exploring Operation: 36-15=21, Resulting Numbers: [52, 21]
Generated Node #3: [52, 21] from Operation: 36-15=21
Current State: 73:[52, 21], Operations: ['25+27=52', '36-15=21']
Exploring Operation: 52+21=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
3,
6,
26,
49
] | 25 | [
"6-3=3",
"26+49=75",
"75/3=25"
] | Current State: 25:[3, 6, 26, 49], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [26, 49, 3]
Generated Node #2: [26, 49, 3] from Operation: 6-3=3
Current State: 25:[26, 49, 3], Operations: ['6-3=3']
Exploring Operation: 26+49=75, Resulting Numbers: [3, 75]
Generated Node #3: [3, 75] from Operation: 26+49=75
Current State: 25:[3, 75], Operations: ['6-3=3', '26+49=75']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
91,
32,
72,
77
] | 69 | [
"77-72=5",
"32*5=160",
"160-91=69"
] | Current State: 69:[91, 32, 72, 77], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [91, 32, 5]
Generated Node #2: [91, 32, 5] from Operation: 77-72=5
Current State: 69:[91, 32, 5], Operations: ['77-72=5']
Exploring Operation: 32*5=160, Resulting Numbers: [91, 160]
Generated Node #3: [91, 160] from Operation: 32*5=160
Current State: 69:[91, 160], Operations: ['77-72=5', '32*5=160']
Exploring Operation: 160-91=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
84,
11,
8,
68
] | 22 | [
"84-68=16",
"11*16=176",
"176/8=22"
] | Current State: 22:[84, 11, 8, 68], Operations: []
Exploring Operation: 84-68=16, Resulting Numbers: [11, 8, 16]
Generated Node #2: [11, 8, 16] from Operation: 84-68=16
Current State: 22:[11, 8, 16], Operations: ['84-68=16']
Exploring Operation: 11*16=176, Resulting Numbers: [8, 176]
Generated Node #3: [8, 176] from Operation: 11*16=176
Current State: 22:[8, 176], Operations: ['84-68=16', '11*16=176']
Exploring Operation: 176/8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
62,
41,
30,
61
] | 27 | [
"62+61=123",
"123/41=3",
"30-3=27"
] | Current State: 27:[62, 41, 30, 61], Operations: []
Exploring Operation: 62+61=123, Resulting Numbers: [41, 30, 123]
Generated Node #2: [41, 30, 123] from Operation: 62+61=123
Current State: 27:[41, 30, 123], Operations: ['62+61=123']
Exploring Operation: 123/41=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 123/41=3
Current State: 27:[30, 3], Operations: ['62+61=123', '123/41=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
29,
41,
46,
22
] | 19 | [
"41+46=87",
"87/29=3",
"22-3=19"
] | Current State: 19:[29, 41, 46, 22], Operations: []
Exploring Operation: 41+46=87, Resulting Numbers: [29, 22, 87]
Generated Node #2: [29, 22, 87] from Operation: 41+46=87
Current State: 19:[29, 22, 87], Operations: ['41+46=87']
Exploring Operation: 87/29=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 87/29=3
Current State: 19:[22, 3], Operations: ['41+46=87', '87/29=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
47,
66,
90,
44
] | 65 | [
"66-47=19",
"90-44=46",
"19+46=65"
] | Current State: 65:[47, 66, 90, 44], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [90, 44, 19]
Generated Node #2: [90, 44, 19] from Operation: 66-47=19
Current State: 65:[90, 44, 19], Operations: ['66-47=19']
Exploring Operation: 90-44=46, Resulting Numbers: [19, 46]
Generated Node #3: [19, 46] from Operation: 90-44=46
Current State: 65:[19, 46], Operations: ['66-47=19', '90-44=46']
Exploring Operation: 19+46=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
53,
67,
19,
52
] | 86 | [
"53-52=1",
"67+19=86",
"1*86=86"
] | Current State: 86:[53, 67, 19, 52], Operations: []
Exploring Operation: 53-52=1, Resulting Numbers: [67, 19, 1]
Generated Node #2: [67, 19, 1] from Operation: 53-52=1
Current State: 86:[67, 19, 1], Operations: ['53-52=1']
Exploring Operation: 67+19=86, Resulting Numbers: [1, 86]
Generated Node #3: [1, 86] from Operation: 67+19=86
Current State: 86:[1, 86], Operations: ['53-52=1', '67+19=86']
Exploring Operation: 1*86=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
41,
15,
38,
18
] | 39 | [
"41-38=3",
"18*3=54",
"54-15=39"
] | Current State: 39:[41, 15, 38, 18], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [15, 18, 3]
Generated Node #2: [15, 18, 3] from Operation: 41-38=3
Current State: 39:[15, 18, 3], Operations: ['41-38=3']
Exploring Operation: 18*3=54, Resulting Numbers: [15, 54]
Generated Node #3: [15, 54] from Operation: 18*3=54
Current State: 39:[15, 54], Operations: ['41-38=3', '18*3=54']
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
92,
48,
68,
58
] | 29 | [
"92-68=24",
"48/24=2",
"58/2=29"
] | Current State: 29:[92, 48, 68, 58], Operations: []
Exploring Operation: 92-68=24, Resulting Numbers: [48, 58, 24]
Generated Node #2: [48, 58, 24] from Operation: 92-68=24
Current State: 29:[48, 58, 24], Operations: ['92-68=24']
Exploring Operation: 48/24=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 48/24=2
Current State: 29:[58, 2], Operations: ['92-68=24', '48/24=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
55,
11,
6,
48
] | 31 | [
"55-48=7",
"6*7=42",
"42-11=31"
] | Current State: 31:[55, 11, 6, 48], Operations: []
Exploring Operation: 55-48=7, Resulting Numbers: [11, 6, 7]
Generated Node #2: [11, 6, 7] from Operation: 55-48=7
Current State: 31:[11, 6, 7], Operations: ['55-48=7']
Exploring Operation: 6*7=42, Resulting Numbers: [11, 42]
Generated Node #3: [11, 42] from Operation: 6*7=42
Current State: 31:[11, 42], Operations: ['55-48=7', '6*7=42']
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
75,
56,
49,
33
] | 63 | [
"75-56=19",
"49+33=82",
"82-19=63"
] | Current State: 63:[75, 56, 49, 33], Operations: []
Exploring Operation: 75-56=19, Resulting Numbers: [49, 33, 19]
Generated Node #2: [49, 33, 19] from Operation: 75-56=19
Current State: 63:[49, 33, 19], Operations: ['75-56=19']
Exploring Operation: 49+33=82, Resulting Numbers: [19, 82]
Generated Node #3: [19, 82] from Operation: 49+33=82
Current State: 63:[19, 82], Operations: ['75-56=19', '49+33=82']
Exploring Operation: 82-19=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
9,
69,
75,
72
] | 21 | [
"75-69=6",
"72/6=12",
"9+12=21"
] | Current State: 21:[9, 69, 75, 72], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [9, 72, 6]
Generated Node #2: [9, 72, 6] from Operation: 75-69=6
Current State: 21:[9, 72, 6], Operations: ['75-69=6']
Exploring Operation: 72/6=12, Resulting Numbers: [9, 12]
Generated Node #3: [9, 12] from Operation: 72/6=12
Current State: 21:[9, 12], Operations: ['75-69=6', '72/6=12']
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
21,
66,
62,
65
] | 93 | [
"65-21=44",
"66*62=4092",
"4092/44=93"
] | Current State: 93:[21, 66, 62, 65], Operations: []
Exploring Operation: 65-21=44, Resulting Numbers: [66, 62, 44]
Generated Node #2: [66, 62, 44] from Operation: 65-21=44
Current State: 93:[66, 62, 44], Operations: ['65-21=44']
Exploring Operation: 66*62=4092, Resulting Numbers: [44, 4092]
Generated Node #3: [44, 4092] from Operation: 66*62=4092
Current State: 93:[44, 4092], Operations: ['65-21=44', '66*62=4092']
Exploring Operation: 4092/44=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
2,
77,
86,
70
] | 91 | [
"77-2=75",
"86-70=16",
"75+16=91"
] | Current State: 91:[2, 77, 86, 70], Operations: []
Exploring Operation: 77-2=75, Resulting Numbers: [86, 70, 75]
Generated Node #2: [86, 70, 75] from Operation: 77-2=75
Current State: 91:[86, 70, 75], Operations: ['77-2=75']
Exploring Operation: 86-70=16, Resulting Numbers: [75, 16]
Generated Node #3: [75, 16] from Operation: 86-70=16
Current State: 91:[75, 16], Operations: ['77-2=75', '86-70=16']
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
44,
61,
79,
83
] | 77 | [
"83-61=22",
"44/22=2",
"79-2=77"
] | Current State: 77:[44, 61, 79, 83], Operations: []
Exploring Operation: 83-61=22, Resulting Numbers: [44, 79, 22]
Generated Node #2: [44, 79, 22] from Operation: 83-61=22
Current State: 77:[44, 79, 22], Operations: ['83-61=22']
Exploring Operation: 44/22=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 44/22=2
Current State: 77:[79, 2], Operations: ['83-61=22', '44/22=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
24,
68,
20,
38
] | 36 | [
"68-20=48",
"48/24=2",
"38-2=36"
] | Current State: 36:[24, 68, 20, 38], Operations: []
Exploring Operation: 68-20=48, Resulting Numbers: [24, 38, 48]
Generated Node #2: [24, 38, 48] from Operation: 68-20=48
Current State: 36:[24, 38, 48], Operations: ['68-20=48']
Exploring Operation: 48/24=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 48/24=2
Current State: 36:[38, 2], Operations: ['68-20=48', '48/24=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
57,
77,
90,
71
] | 39 | [
"77-57=20",
"90-71=19",
"20+19=39"
] | Current State: 39:[57, 77, 90, 71], Operations: []
Exploring Operation: 77-57=20, Resulting Numbers: [90, 71, 20]
Generated Node #2: [90, 71, 20] from Operation: 77-57=20
Current State: 39:[90, 71, 20], Operations: ['77-57=20']
Exploring Operation: 90-71=19, Resulting Numbers: [20, 19]
Generated Node #3: [20, 19] from Operation: 90-71=19
Current State: 39:[20, 19], Operations: ['77-57=20', '90-71=19']
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
69,
30,
10,
75
] | 90 | [
"75-69=6",
"10*6=60",
"30+60=90"
] | Current State: 90:[69, 30, 10, 75], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [30, 10, 6]
Generated Node #2: [30, 10, 6] from Operation: 75-69=6
Current State: 90:[30, 10, 6], Operations: ['75-69=6']
Exploring Operation: 10*6=60, Resulting Numbers: [30, 60]
Generated Node #3: [30, 60] from Operation: 10*6=60
Current State: 90:[30, 60], Operations: ['75-69=6', '10*6=60']
Exploring Operation: 30+60=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
64,
68,
1,
3
] | 72 | [
"3-1=2",
"68*2=136",
"136-64=72"
] | Current State: 72:[64, 68, 1, 3], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [64, 68, 2]
Generated Node #2: [64, 68, 2] from Operation: 3-1=2
Current State: 72:[64, 68, 2], Operations: ['3-1=2']
Exploring Operation: 68*2=136, Resulting Numbers: [64, 136]
Generated Node #3: [64, 136] from Operation: 68*2=136
Current State: 72:[64, 136], Operations: ['3-1=2', '68*2=136']
Exploring Operation: 136-64=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
8,
16,
27,
6
] | 82 | [
"27-16=11",
"8*11=88",
"88-6=82"
] | Current State: 82:[8, 16, 27, 6], Operations: []
Exploring Operation: 27-16=11, Resulting Numbers: [8, 6, 11]
Generated Node #2: [8, 6, 11] from Operation: 27-16=11
Current State: 82:[8, 6, 11], Operations: ['27-16=11']
Exploring Operation: 8*11=88, Resulting Numbers: [6, 88]
Generated Node #3: [6, 88] from Operation: 8*11=88
Current State: 82:[6, 88], Operations: ['27-16=11', '8*11=88']
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
96,
5,
83,
60
] | 97 | [
"96-60=36",
"5*36=180",
"180-83=97"
] | Current State: 97:[96, 5, 83, 60], Operations: []
Exploring Operation: 96-60=36, Resulting Numbers: [5, 83, 36]
Generated Node #2: [5, 83, 36] from Operation: 96-60=36
Current State: 97:[5, 83, 36], Operations: ['96-60=36']
Exploring Operation: 5*36=180, Resulting Numbers: [83, 180]
Generated Node #3: [83, 180] from Operation: 5*36=180
Current State: 97:[83, 180], Operations: ['96-60=36', '5*36=180']
Exploring Operation: 180-83=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
68,
10,
12,
19
] | 30 | [
"12-10=2",
"19*2=38",
"68-38=30"
] | Current State: 30:[68, 10, 12, 19], Operations: []
Exploring Operation: 12-10=2, Resulting Numbers: [68, 19, 2]
Generated Node #2: [68, 19, 2] from Operation: 12-10=2
Current State: 30:[68, 19, 2], Operations: ['12-10=2']
Exploring Operation: 19*2=38, Resulting Numbers: [68, 38]
Generated Node #3: [68, 38] from Operation: 19*2=38
Current State: 30:[68, 38], Operations: ['12-10=2', '19*2=38']
Exploring Operation: 68-38=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
14,
84,
28,
48
] | 44 | [
"84-28=56",
"56/14=4",
"48-4=44"
] | Current State: 44:[14, 84, 28, 48], Operations: []
Exploring Operation: 84-28=56, Resulting Numbers: [14, 48, 56]
Generated Node #2: [14, 48, 56] from Operation: 84-28=56
Current State: 44:[14, 48, 56], Operations: ['84-28=56']
Exploring Operation: 56/14=4, Resulting Numbers: [48, 4]
Generated Node #3: [48, 4] from Operation: 56/14=4
Current State: 44:[48, 4], Operations: ['84-28=56', '56/14=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
87,
15,
91,
44
] | 94 | [
"44-15=29",
"87/29=3",
"91+3=94"
] | Current State: 94:[87, 15, 91, 44], Operations: []
Exploring Operation: 44-15=29, Resulting Numbers: [87, 91, 29]
Generated Node #2: [87, 91, 29] from Operation: 44-15=29
Current State: 94:[87, 91, 29], Operations: ['44-15=29']
Exploring Operation: 87/29=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 87/29=3
Current State: 94:[91, 3], Operations: ['44-15=29', '87/29=3']
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
47,
59,
7,
99
] | 14 | [
"47+59=106",
"99-7=92",
"106-92=14"
] | Current State: 14:[47, 59, 7, 99], Operations: []
Exploring Operation: 47+59=106, Resulting Numbers: [7, 99, 106]
Generated Node #2: [7, 99, 106] from Operation: 47+59=106
Current State: 14:[7, 99, 106], Operations: ['47+59=106']
Exploring Operation: 99-7=92, Resulting Numbers: [106, 92]
Generated Node #3: [106, 92] from Operation: 99-7=92
Current State: 14:[106, 92], Operations: ['47+59=106', '99-7=92']
Exploring Operation: 106-92=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
27,
48,
5,
2
] | 53 | [
"27-2=25",
"25/5=5",
"48+5=53"
] | Current State: 53:[27, 48, 5, 2], Operations: []
Exploring Operation: 27-2=25, Resulting Numbers: [48, 5, 25]
Generated Node #2: [48, 5, 25] from Operation: 27-2=25
Current State: 53:[48, 5, 25], Operations: ['27-2=25']
Exploring Operation: 25/5=5, Resulting Numbers: [48, 5]
Generated Node #3: [48, 5] from Operation: 25/5=5
Current State: 53:[48, 5], Operations: ['27-2=25', '25/5=5']
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
4,
11,
11,
51
] | 21 | [
"51-11=40",
"40/4=10",
"11+10=21"
] | Current State: 21:[4, 11, 11, 51], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [4, 40]
Generated Node #2: [4, 40] from Operation: 51-11=40
Current State: 21:[4, 40], Operations: ['51-11=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,21 equal: Goal Reached
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
2,
62,
19,
22
] | 28 | [
"62/2=31",
"22-19=3",
"31-3=28"
] | Current State: 28:[2, 62, 19, 22], Operations: []
Exploring Operation: 62/2=31, Resulting Numbers: [19, 22, 31]
Generated Node #2: [19, 22, 31] from Operation: 62/2=31
Current State: 28:[19, 22, 31], Operations: ['62/2=31']
Exploring Operation: 22-19=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 22-19=3
Current State: 28:[31, 3], Operations: ['62/2=31', '22-19=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
65,
23,
69,
81
] | 76 | [
"65+23=88",
"81-69=12",
"88-12=76"
] | Current State: 76:[65, 23, 69, 81], Operations: []
Exploring Operation: 65+23=88, Resulting Numbers: [69, 81, 88]
Generated Node #2: [69, 81, 88] from Operation: 65+23=88
Current State: 76:[69, 81, 88], Operations: ['65+23=88']
Exploring Operation: 81-69=12, Resulting Numbers: [88, 12]
Generated Node #3: [88, 12] from Operation: 81-69=12
Current State: 76:[88, 12], Operations: ['65+23=88', '81-69=12']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
45,
30,
42,
1
] | 87 | [
"45-42=3",
"30-1=29",
"3*29=87"
] | Current State: 87:[45, 30, 42, 1], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [30, 1, 3]
Generated Node #2: [30, 1, 3] from Operation: 45-42=3
Current State: 87:[30, 1, 3], Operations: ['45-42=3']
Exploring Operation: 30-1=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 30-1=29
Current State: 87:[3, 29], Operations: ['45-42=3', '30-1=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
64,
24,
95,
64
] | 24 | [
"64-64=0",
"95*0=0",
"24+0=24"
] | Current State: 24:[64, 24, 95, 64], Operations: []
Exploring Operation: 64-64=0, Resulting Numbers: [24, 95, 0]
Generated Node #2: [24, 95, 0] from Operation: 64-64=0
Current State: 24:[24, 95, 0], Operations: ['64-64=0']
Exploring Operation: 95*0=0, Resulting Numbers: [24, 0]
Generated Node #3: [24, 0] from Operation: 95*0=0
Current State: 24:[24, 0], Operations: ['64-64=0', '95*0=0']
Exploring Operation: 24+0=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
15,
60,
34,
28
] | 27 | [
"60/15=4",
"28/4=7",
"34-7=27"
] | Current State: 27:[15, 60, 34, 28], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [34, 28, 4]
Generated Node #2: [34, 28, 4] from Operation: 60/15=4
Current State: 27:[34, 28, 4], Operations: ['60/15=4']
Exploring Operation: 28/4=7, Resulting Numbers: [34, 7]
Generated Node #3: [34, 7] from Operation: 28/4=7
Current State: 27:[34, 7], Operations: ['60/15=4', '28/4=7']
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
50,
77,
2,
21
] | 46 | [
"77-50=27",
"21-2=19",
"27+19=46"
] | Current State: 46:[50, 77, 2, 21], Operations: []
Exploring Operation: 77-50=27, Resulting Numbers: [2, 21, 27]
Generated Node #2: [2, 21, 27] from Operation: 77-50=27
Current State: 46:[2, 21, 27], Operations: ['77-50=27']
Exploring Operation: 21-2=19, Resulting Numbers: [27, 19]
Generated Node #3: [27, 19] from Operation: 21-2=19
Current State: 46:[27, 19], Operations: ['77-50=27', '21-2=19']
Exploring Operation: 27+19=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
99,
37,
51,
71
] | 66 | [
"71-37=34",
"99*34=3366",
"3366/51=66"
] | Current State: 66:[99, 37, 51, 71], Operations: []
Exploring Operation: 71-37=34, Resulting Numbers: [99, 51, 34]
Generated Node #2: [99, 51, 34] from Operation: 71-37=34
Current State: 66:[99, 51, 34], Operations: ['71-37=34']
Exploring Operation: 99*34=3366, Resulting Numbers: [51, 3366]
Generated Node #3: [51, 3366] from Operation: 99*34=3366
Current State: 66:[51, 3366], Operations: ['71-37=34', '99*34=3366']
Exploring Operation: 3366/51=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
2,
56,
60,
85
] | 79 | [
"56-2=54",
"85-60=25",
"54+25=79"
] | Current State: 79:[2, 56, 60, 85], Operations: []
Exploring Operation: 56-2=54, Resulting Numbers: [60, 85, 54]
Generated Node #2: [60, 85, 54] from Operation: 56-2=54
Current State: 79:[60, 85, 54], Operations: ['56-2=54']
Exploring Operation: 85-60=25, Resulting Numbers: [54, 25]
Generated Node #3: [54, 25] from Operation: 85-60=25
Current State: 79:[54, 25], Operations: ['56-2=54', '85-60=25']
Exploring Operation: 54+25=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
43,
69,
32,
53
] | 59 | [
"69-43=26",
"32+53=85",
"85-26=59"
] | Current State: 59:[43, 69, 32, 53], Operations: []
Exploring Operation: 69-43=26, Resulting Numbers: [32, 53, 26]
Generated Node #2: [32, 53, 26] from Operation: 69-43=26
Current State: 59:[32, 53, 26], Operations: ['69-43=26']
Exploring Operation: 32+53=85, Resulting Numbers: [26, 85]
Generated Node #3: [26, 85] from Operation: 32+53=85
Current State: 59:[26, 85], Operations: ['69-43=26', '32+53=85']
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
9,
97,
41,
3
] | 53 | [
"9+41=50",
"3*50=150",
"150-97=53"
] | Current State: 53:[9, 97, 41, 3], Operations: []
Exploring Operation: 9+41=50, Resulting Numbers: [97, 3, 50]
Generated Node #2: [97, 3, 50] from Operation: 9+41=50
Current State: 53:[97, 3, 50], Operations: ['9+41=50']
Exploring Operation: 3*50=150, Resulting Numbers: [97, 150]
Generated Node #3: [97, 150] from Operation: 3*50=150
Current State: 53:[97, 150], Operations: ['9+41=50', '3*50=150']
Exploring Operation: 150-97=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
36,
71,
12,
81
] | 84 | [
"81-71=10",
"12*10=120",
"120-36=84"
] | Current State: 84:[36, 71, 12, 81], Operations: []
Exploring Operation: 81-71=10, Resulting Numbers: [36, 12, 10]
Generated Node #2: [36, 12, 10] from Operation: 81-71=10
Current State: 84:[36, 12, 10], Operations: ['81-71=10']
Exploring Operation: 12*10=120, Resulting Numbers: [36, 120]
Generated Node #3: [36, 120] from Operation: 12*10=120
Current State: 84:[36, 120], Operations: ['81-71=10', '12*10=120']
Exploring Operation: 120-36=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
58,
32,
35,
7
] | 63 | [
"58-32=26",
"35-26=9",
"7*9=63"
] | Current State: 63:[58, 32, 35, 7], Operations: []
Exploring Operation: 58-32=26, Resulting Numbers: [35, 7, 26]
Generated Node #2: [35, 7, 26] from Operation: 58-32=26
Current State: 63:[35, 7, 26], Operations: ['58-32=26']
Exploring Operation: 35-26=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 35-26=9
Current State: 63:[7, 9], Operations: ['58-32=26', '35-26=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
61,
89,
24,
96
] | 92 | [
"89-61=28",
"24+96=120",
"120-28=92"
] | Current State: 92:[61, 89, 24, 96], Operations: []
Exploring Operation: 89-61=28, Resulting Numbers: [24, 96, 28]
Generated Node #2: [24, 96, 28] from Operation: 89-61=28
Current State: 92:[24, 96, 28], Operations: ['89-61=28']
Exploring Operation: 24+96=120, Resulting Numbers: [28, 120]
Generated Node #3: [28, 120] from Operation: 24+96=120
Current State: 92:[28, 120], Operations: ['89-61=28', '24+96=120']
Exploring Operation: 120-28=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
63,
62,
7,
73
] | 66 | [
"63-62=1",
"73-7=66",
"1*66=66"
] | Current State: 66:[63, 62, 7, 73], Operations: []
Exploring Operation: 63-62=1, Resulting Numbers: [7, 73, 1]
Generated Node #2: [7, 73, 1] from Operation: 63-62=1
Current State: 66:[7, 73, 1], Operations: ['63-62=1']
Exploring Operation: 73-7=66, Resulting Numbers: [1, 66]
Generated Node #3: [1, 66] from Operation: 73-7=66
Current State: 66:[1, 66], Operations: ['63-62=1', '73-7=66']
Exploring Operation: 1*66=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
30,
20,
51,
82
] | 60 | [
"20+82=102",
"30*102=3060",
"3060/51=60"
] | Current State: 60:[30, 20, 51, 82], Operations: []
Exploring Operation: 20+82=102, Resulting Numbers: [30, 51, 102]
Generated Node #2: [30, 51, 102] from Operation: 20+82=102
Current State: 60:[30, 51, 102], Operations: ['20+82=102']
Exploring Operation: 30*102=3060, Resulting Numbers: [51, 3060]
Generated Node #3: [51, 3060] from Operation: 30*102=3060
Current State: 60:[51, 3060], Operations: ['20+82=102', '30*102=3060']
Exploring Operation: 3060/51=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
78,
54,
52,
2
] | 38 | [
"78-54=24",
"52+24=76",
"76/2=38"
] | Current State: 38:[78, 54, 52, 2], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [52, 2, 24]
Generated Node #2: [52, 2, 24] from Operation: 78-54=24
Current State: 38:[52, 2, 24], Operations: ['78-54=24']
Exploring Operation: 52+24=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 52+24=76
Current State: 38:[2, 76], Operations: ['78-54=24', '52+24=76']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
4,
61,
2,
33
] | 23 | [
"61-2=59",
"33+59=92",
"92/4=23"
] | Current State: 23:[4, 61, 2, 33], Operations: []
Exploring Operation: 61-2=59, Resulting Numbers: [4, 33, 59]
Generated Node #2: [4, 33, 59] from Operation: 61-2=59
Current State: 23:[4, 33, 59], Operations: ['61-2=59']
Exploring Operation: 33+59=92, Resulting Numbers: [4, 92]
Generated Node #3: [4, 92] from Operation: 33+59=92
Current State: 23:[4, 92], Operations: ['61-2=59', '33+59=92']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
23,
69,
98,
50
] | 44 | [
"23+69=92",
"98-50=48",
"92-48=44"
] | Current State: 44:[23, 69, 98, 50], Operations: []
Exploring Operation: 23+69=92, Resulting Numbers: [98, 50, 92]
Generated Node #2: [98, 50, 92] from Operation: 23+69=92
Current State: 44:[98, 50, 92], Operations: ['23+69=92']
Exploring Operation: 98-50=48, Resulting Numbers: [92, 48]
Generated Node #3: [92, 48] from Operation: 98-50=48
Current State: 44:[92, 48], Operations: ['23+69=92', '98-50=48']
Exploring Operation: 92-48=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
43,
6,
92,
78
] | 51 | [
"43-6=37",
"92-78=14",
"37+14=51"
] | Current State: 51:[43, 6, 92, 78], Operations: []
Exploring Operation: 43-6=37, Resulting Numbers: [92, 78, 37]
Generated Node #2: [92, 78, 37] from Operation: 43-6=37
Current State: 51:[92, 78, 37], Operations: ['43-6=37']
Exploring Operation: 92-78=14, Resulting Numbers: [37, 14]
Generated Node #3: [37, 14] from Operation: 92-78=14
Current State: 51:[37, 14], Operations: ['43-6=37', '92-78=14']
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
10,
43,
88,
15
] | 19 | [
"10*15=150",
"43+88=131",
"150-131=19"
] | Current State: 19:[10, 43, 88, 15], Operations: []
Exploring Operation: 10*15=150, Resulting Numbers: [43, 88, 150]
Generated Node #2: [43, 88, 150] from Operation: 10*15=150
Current State: 19:[43, 88, 150], Operations: ['10*15=150']
Exploring Operation: 43+88=131, Resulting Numbers: [150, 131]
Generated Node #3: [150, 131] from Operation: 43+88=131
Current State: 19:[150, 131], Operations: ['10*15=150', '43+88=131']
Exploring Operation: 150-131=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
82,
44,
70,
9
] | 64 | [
"82-70=12",
"9*12=108",
"108-44=64"
] | Current State: 64:[82, 44, 70, 9], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [44, 9, 12]
Generated Node #2: [44, 9, 12] from Operation: 82-70=12
Current State: 64:[44, 9, 12], Operations: ['82-70=12']
Exploring Operation: 9*12=108, Resulting Numbers: [44, 108]
Generated Node #3: [44, 108] from Operation: 9*12=108
Current State: 64:[44, 108], Operations: ['82-70=12', '9*12=108']
Exploring Operation: 108-44=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
31,
13,
55,
94
] | 93 | [
"94-55=39",
"31*39=1209",
"1209/13=93"
] | Current State: 93:[31, 13, 55, 94], Operations: []
Exploring Operation: 94-55=39, Resulting Numbers: [31, 13, 39]
Generated Node #2: [31, 13, 39] from Operation: 94-55=39
Current State: 93:[31, 13, 39], Operations: ['94-55=39']
Exploring Operation: 31*39=1209, Resulting Numbers: [13, 1209]
Generated Node #3: [13, 1209] from Operation: 31*39=1209
Current State: 93:[13, 1209], Operations: ['94-55=39', '31*39=1209']
Exploring Operation: 1209/13=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
11,
43,
74,
58
] | 78 | [
"11+43=54",
"74+58=132",
"132-54=78"
] | Current State: 78:[11, 43, 74, 58], Operations: []
Exploring Operation: 11+43=54, Resulting Numbers: [74, 58, 54]
Generated Node #2: [74, 58, 54] from Operation: 11+43=54
Current State: 78:[74, 58, 54], Operations: ['11+43=54']
Exploring Operation: 74+58=132, Resulting Numbers: [54, 132]
Generated Node #3: [54, 132] from Operation: 74+58=132
Current State: 78:[54, 132], Operations: ['11+43=54', '74+58=132']
Exploring Operation: 132-54=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
75,
7,
13,
71
] | 19 | [
"75-13=62",
"71+62=133",
"133/7=19"
] | Current State: 19:[75, 7, 13, 71], Operations: []
Exploring Operation: 75-13=62, Resulting Numbers: [7, 71, 62]
Generated Node #2: [7, 71, 62] from Operation: 75-13=62
Current State: 19:[7, 71, 62], Operations: ['75-13=62']
Exploring Operation: 71+62=133, Resulting Numbers: [7, 133]
Generated Node #3: [7, 133] from Operation: 71+62=133
Current State: 19:[7, 133], Operations: ['75-13=62', '71+62=133']
Exploring Operation: 133/7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
3,
19,
40,
10
] | 45 | [
"40/10=4",
"19-4=15",
"3*15=45"
] | Current State: 45:[3, 19, 40, 10], Operations: []
Exploring Operation: 40/10=4, Resulting Numbers: [3, 19, 4]
Generated Node #2: [3, 19, 4] from Operation: 40/10=4
Current State: 45:[3, 19, 4], Operations: ['40/10=4']
Exploring Operation: 19-4=15, Resulting Numbers: [3, 15]
Generated Node #3: [3, 15] from Operation: 19-4=15
Current State: 45:[3, 15], Operations: ['40/10=4', '19-4=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
91,
74,
42,
37
] | 33 | [
"91+74=165",
"42-37=5",
"165/5=33"
] | Current State: 33:[91, 74, 42, 37], Operations: []
Exploring Operation: 91+74=165, Resulting Numbers: [42, 37, 165]
Generated Node #2: [42, 37, 165] from Operation: 91+74=165
Current State: 33:[42, 37, 165], Operations: ['91+74=165']
Exploring Operation: 42-37=5, Resulting Numbers: [165, 5]
Generated Node #3: [165, 5] from Operation: 42-37=5
Current State: 33:[165, 5], Operations: ['91+74=165', '42-37=5']
Exploring Operation: 165/5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
95,
19,
87,
43
] | 54 | [
"95-19=76",
"87+43=130",
"130-76=54"
] | Current State: 54:[95, 19, 87, 43], Operations: []
Exploring Operation: 95-19=76, Resulting Numbers: [87, 43, 76]
Generated Node #2: [87, 43, 76] from Operation: 95-19=76
Current State: 54:[87, 43, 76], Operations: ['95-19=76']
Exploring Operation: 87+43=130, Resulting Numbers: [76, 130]
Generated Node #3: [76, 130] from Operation: 87+43=130
Current State: 54:[76, 130], Operations: ['95-19=76', '87+43=130']
Exploring Operation: 130-76=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
6,
83,
43,
38
] | 17 | [
"83+43=126",
"126/6=21",
"38-21=17"
] | Current State: 17:[6, 83, 43, 38], Operations: []
Exploring Operation: 83+43=126, Resulting Numbers: [6, 38, 126]
Generated Node #2: [6, 38, 126] from Operation: 83+43=126
Current State: 17:[6, 38, 126], Operations: ['83+43=126']
Exploring Operation: 126/6=21, Resulting Numbers: [38, 21]
Generated Node #3: [38, 21] from Operation: 126/6=21
Current State: 17:[38, 21], Operations: ['83+43=126', '126/6=21']
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
30,
2,
75,
64
] | 43 | [
"30+2=32",
"75-64=11",
"32+11=43"
] | Current State: 43:[30, 2, 75, 64], Operations: []
Exploring Operation: 30+2=32, Resulting Numbers: [75, 64, 32]
Generated Node #2: [75, 64, 32] from Operation: 30+2=32
Current State: 43:[75, 64, 32], Operations: ['30+2=32']
Exploring Operation: 75-64=11, Resulting Numbers: [32, 11]
Generated Node #3: [32, 11] from Operation: 75-64=11
Current State: 43:[32, 11], Operations: ['30+2=32', '75-64=11']
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
58,
35,
36,
21
] | 36 | [
"58+35=93",
"36+21=57",
"93-57=36"
] | Current State: 36:[58, 35, 36, 21], Operations: []
Exploring Operation: 58+35=93, Resulting Numbers: [36, 21, 93]
Generated Node #2: [36, 21, 93] from Operation: 58+35=93
Current State: 36:[36, 21, 93], Operations: ['58+35=93']
Exploring Operation: 36+21=57, Resulting Numbers: [93, 57]
Generated Node #3: [93, 57] from Operation: 36+21=57
Current State: 36:[93, 57], Operations: ['58+35=93', '36+21=57']
Exploring Operation: 93-57=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
94,
38,
26,
44
] | 23 | [
"94+38=132",
"132/44=3",
"26-3=23"
] | Current State: 23:[94, 38, 26, 44], Operations: []
Exploring Operation: 94+38=132, Resulting Numbers: [26, 44, 132]
Generated Node #2: [26, 44, 132] from Operation: 94+38=132
Current State: 23:[26, 44, 132], Operations: ['94+38=132']
Exploring Operation: 132/44=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 132/44=3
Current State: 23:[26, 3], Operations: ['94+38=132', '132/44=3']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
47,
42,
15,
24
] | 14 | [
"47-42=5",
"24-15=9",
"5+9=14"
] | Current State: 14:[47, 42, 15, 24], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [15, 24, 5]
Generated Node #2: [15, 24, 5] from Operation: 47-42=5
Current State: 14:[15, 24, 5], Operations: ['47-42=5']
Exploring Operation: 24-15=9, Resulting Numbers: [5, 9]
Generated Node #3: [5, 9] from Operation: 24-15=9
Current State: 14:[5, 9], Operations: ['47-42=5', '24-15=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
51,
24,
82,
76
] | 33 | [
"51-24=27",
"82-76=6",
"27+6=33"
] | Current State: 33:[51, 24, 82, 76], Operations: []
Exploring Operation: 51-24=27, Resulting Numbers: [82, 76, 27]
Generated Node #2: [82, 76, 27] from Operation: 51-24=27
Current State: 33:[82, 76, 27], Operations: ['51-24=27']
Exploring Operation: 82-76=6, Resulting Numbers: [27, 6]
Generated Node #3: [27, 6] from Operation: 82-76=6
Current State: 33:[27, 6], Operations: ['51-24=27', '82-76=6']
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
44,
13,
58,
2
] | 93 | [
"44/2=22",
"13+58=71",
"22+71=93"
] | Current State: 93:[44, 13, 58, 2], Operations: []
Exploring Operation: 44/2=22, Resulting Numbers: [13, 58, 22]
Generated Node #2: [13, 58, 22] from Operation: 44/2=22
Current State: 93:[13, 58, 22], Operations: ['44/2=22']
Exploring Operation: 13+58=71, Resulting Numbers: [22, 71]
Generated Node #3: [22, 71] from Operation: 13+58=71
Current State: 93:[22, 71], Operations: ['44/2=22', '13+58=71']
Exploring Operation: 22+71=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
24,
5,
54,
49
] | 95 | [
"24-5=19",
"54-49=5",
"19*5=95"
] | Current State: 95:[24, 5, 54, 49], Operations: []
Exploring Operation: 24-5=19, Resulting Numbers: [54, 49, 19]
Generated Node #2: [54, 49, 19] from Operation: 24-5=19
Current State: 95:[54, 49, 19], Operations: ['24-5=19']
Exploring Operation: 54-49=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 54-49=5
Current State: 95:[19, 5], Operations: ['24-5=19', '54-49=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
19,
39,
59,
75
] | 65 | [
"39+75=114",
"114/19=6",
"59+6=65"
] | Current State: 65:[19, 39, 59, 75], Operations: []
Exploring Operation: 39+75=114, Resulting Numbers: [19, 59, 114]
Generated Node #2: [19, 59, 114] from Operation: 39+75=114
Current State: 65:[19, 59, 114], Operations: ['39+75=114']
Exploring Operation: 114/19=6, Resulting Numbers: [59, 6]
Generated Node #3: [59, 6] from Operation: 114/19=6
Current State: 65:[59, 6], Operations: ['39+75=114', '114/19=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
19,
32,
85,
6
] | 98 | [
"19*32=608",
"85*6=510",
"608-510=98"
] | Current State: 98:[19, 32, 85, 6], Operations: []
Exploring Operation: 19*32=608, Resulting Numbers: [85, 6, 608]
Generated Node #2: [85, 6, 608] from Operation: 19*32=608
Current State: 98:[85, 6, 608], Operations: ['19*32=608']
Exploring Operation: 85*6=510, Resulting Numbers: [608, 510]
Generated Node #3: [608, 510] from Operation: 85*6=510
Current State: 98:[608, 510], Operations: ['19*32=608', '85*6=510']
Exploring Operation: 608-510=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
74,
16,
29,
12
] | 73 | [
"74+16=90",
"29-12=17",
"90-17=73"
] | Current State: 73:[74, 16, 29, 12], Operations: []
Exploring Operation: 74+16=90, Resulting Numbers: [29, 12, 90]
Generated Node #2: [29, 12, 90] from Operation: 74+16=90
Current State: 73:[29, 12, 90], Operations: ['74+16=90']
Exploring Operation: 29-12=17, Resulting Numbers: [90, 17]
Generated Node #3: [90, 17] from Operation: 29-12=17
Current State: 73:[90, 17], Operations: ['74+16=90', '29-12=17']
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
1,
4,
33,
7
] | 30 | [
"1*4=4",
"33-7=26",
"4+26=30"
] | Current State: 30:[1, 4, 33, 7], Operations: []
Exploring Operation: 1*4=4, Resulting Numbers: [33, 7, 4]
Generated Node #2: [33, 7, 4] from Operation: 1*4=4
Current State: 30:[33, 7, 4], Operations: ['1*4=4']
Exploring Operation: 33-7=26, Resulting Numbers: [4, 26]
Generated Node #3: [4, 26] from Operation: 33-7=26
Current State: 30:[4, 26], Operations: ['1*4=4', '33-7=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
12,
2,
13,
24
] | 14 | [
"12*2=24",
"24/24=1",
"13+1=14"
] | Current State: 14:[12, 2, 13, 24], Operations: []
Exploring Operation: 12*2=24, Resulting Numbers: [13, 24, 24]
Generated Node #2: [13, 24, 24] from Operation: 12*2=24
Current State: 14:[13, 24, 24], Operations: ['12*2=24']
Exploring Operation: 24/24=1, Resulting Numbers: [13, 1]
Generated Node #3: [13, 1] from Operation: 24/24=1
Current State: 14:[13, 1], Operations: ['12*2=24', '24/24=1']
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
15,
26,
26,
58
] | 73 | [
"15+26=41",
"58-26=32",
"41+32=73"
] | Current State: 73:[15, 26, 26, 58], Operations: []
Exploring Operation: 15+26=41, Resulting Numbers: [58, 41]
Generated Node #2: [58, 41] from Operation: 15+26=41
Current State: 73:[58, 41], Operations: ['15+26=41']
Exploring Operation: 58-26=32, Resulting Numbers: [41, 32]
Generated Node #3: [41, 32] from Operation: 58-26=32
Current State: 73:[41, 32], Operations: ['15+26=41', '58-26=32']
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
77,
58,
24,
64
] | 95 | [
"77+58=135",
"64-24=40",
"135-40=95"
] | Current State: 95:[77, 58, 24, 64], Operations: []
Exploring Operation: 77+58=135, Resulting Numbers: [24, 64, 135]
Generated Node #2: [24, 64, 135] from Operation: 77+58=135
Current State: 95:[24, 64, 135], Operations: ['77+58=135']
Exploring Operation: 64-24=40, Resulting Numbers: [135, 40]
Generated Node #3: [135, 40] from Operation: 64-24=40
Current State: 95:[135, 40], Operations: ['77+58=135', '64-24=40']
Exploring Operation: 135-40=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
49,
60,
52,
15
] | 55 | [
"52-49=3",
"15/3=5",
"60-5=55"
] | Current State: 55:[49, 60, 52, 15], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [60, 15, 3]
Generated Node #2: [60, 15, 3] from Operation: 52-49=3
Current State: 55:[60, 15, 3], Operations: ['52-49=3']
Exploring Operation: 15/3=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 15/3=5
Current State: 55:[60, 5], Operations: ['52-49=3', '15/3=5']
Exploring Operation: 60-5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
11,
49,
96,
25
] | 61 | [
"11+49=60",
"96+25=121",
"121-60=61"
] | Current State: 61:[11, 49, 96, 25], Operations: []
Exploring Operation: 11+49=60, Resulting Numbers: [96, 25, 60]
Generated Node #2: [96, 25, 60] from Operation: 11+49=60
Current State: 61:[96, 25, 60], Operations: ['11+49=60']
Exploring Operation: 96+25=121, Resulting Numbers: [60, 121]
Generated Node #3: [60, 121] from Operation: 96+25=121
Current State: 61:[60, 121], Operations: ['11+49=60', '96+25=121']
Exploring Operation: 121-60=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
36,
55,
30,
10
] | 90 | [
"55-30=25",
"36*25=900",
"900/10=90"
] | Current State: 90:[36, 55, 30, 10], Operations: []
Exploring Operation: 55-30=25, Resulting Numbers: [36, 10, 25]
Generated Node #2: [36, 10, 25] from Operation: 55-30=25
Current State: 90:[36, 10, 25], Operations: ['55-30=25']
Exploring Operation: 36*25=900, Resulting Numbers: [10, 900]
Generated Node #3: [10, 900] from Operation: 36*25=900
Current State: 90:[10, 900], Operations: ['55-30=25', '36*25=900']
Exploring Operation: 900/10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
87,
69,
57,
3
] | 45 | [
"69+57=126",
"126/3=42",
"87-42=45"
] | Current State: 45:[87, 69, 57, 3], Operations: []
Exploring Operation: 69+57=126, Resulting Numbers: [87, 3, 126]
Generated Node #2: [87, 3, 126] from Operation: 69+57=126
Current State: 45:[87, 3, 126], Operations: ['69+57=126']
Exploring Operation: 126/3=42, Resulting Numbers: [87, 42]
Generated Node #3: [87, 42] from Operation: 126/3=42
Current State: 45:[87, 42], Operations: ['69+57=126', '126/3=42']
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
19,
9,
2,
14
] | 65 | [
"9+14=23",
"2*23=46",
"19+46=65"
] | Current State: 65:[19, 9, 2, 14], Operations: []
Exploring Operation: 9+14=23, Resulting Numbers: [19, 2, 23]
Generated Node #2: [19, 2, 23] from Operation: 9+14=23
Current State: 65:[19, 2, 23], Operations: ['9+14=23']
Exploring Operation: 2*23=46, Resulting Numbers: [19, 46]
Generated Node #3: [19, 46] from Operation: 2*23=46
Current State: 65:[19, 46], Operations: ['9+14=23', '2*23=46']
Exploring Operation: 19+46=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
49,
7,
82,
54
] | 41 | [
"49+7=56",
"56-54=2",
"82/2=41"
] | Current State: 41:[49, 7, 82, 54], Operations: []
Exploring Operation: 49+7=56, Resulting Numbers: [82, 54, 56]
Generated Node #2: [82, 54, 56] from Operation: 49+7=56
Current State: 41:[82, 54, 56], Operations: ['49+7=56']
Exploring Operation: 56-54=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 56-54=2
Current State: 41:[82, 2], Operations: ['49+7=56', '56-54=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
91,
24,
29,
35
] | 30 | [
"91+29=120",
"120/24=5",
"35-5=30"
] | Current State: 30:[91, 24, 29, 35], Operations: []
Exploring Operation: 91+29=120, Resulting Numbers: [24, 35, 120]
Generated Node #2: [24, 35, 120] from Operation: 91+29=120
Current State: 30:[24, 35, 120], Operations: ['91+29=120']
Exploring Operation: 120/24=5, Resulting Numbers: [35, 5]
Generated Node #3: [35, 5] from Operation: 120/24=5
Current State: 30:[35, 5], Operations: ['91+29=120', '120/24=5']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
69,
15,
99,
17
] | 84 | [
"69+99=168",
"17-15=2",
"168/2=84"
] | Current State: 84:[69, 15, 99, 17], Operations: []
Exploring Operation: 69+99=168, Resulting Numbers: [15, 17, 168]
Generated Node #2: [15, 17, 168] from Operation: 69+99=168
Current State: 84:[15, 17, 168], Operations: ['69+99=168']
Exploring Operation: 17-15=2, Resulting Numbers: [168, 2]
Generated Node #3: [168, 2] from Operation: 17-15=2
Current State: 84:[168, 2], Operations: ['69+99=168', '17-15=2']
Exploring Operation: 168/2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
3,
51,
58,
99
] | 76 | [
"99/3=33",
"51+58=109",
"109-33=76"
] | Current State: 76:[3, 51, 58, 99], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [51, 58, 33]
Generated Node #2: [51, 58, 33] from Operation: 99/3=33
Current State: 76:[51, 58, 33], Operations: ['99/3=33']
Exploring Operation: 51+58=109, Resulting Numbers: [33, 109]
Generated Node #3: [33, 109] from Operation: 51+58=109
Current State: 76:[33, 109], Operations: ['99/3=33', '51+58=109']
Exploring Operation: 109-33=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
42,
66,
18,
22
] | 68 | [
"42+66=108",
"18+22=40",
"108-40=68"
] | Current State: 68:[42, 66, 18, 22], Operations: []
Exploring Operation: 42+66=108, Resulting Numbers: [18, 22, 108]
Generated Node #2: [18, 22, 108] from Operation: 42+66=108
Current State: 68:[18, 22, 108], Operations: ['42+66=108']
Exploring Operation: 18+22=40, Resulting Numbers: [108, 40]
Generated Node #3: [108, 40] from Operation: 18+22=40
Current State: 68:[108, 40], Operations: ['42+66=108', '18+22=40']
Exploring Operation: 108-40=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
81,
48,
19,
2
] | 71 | [
"81-48=33",
"19*2=38",
"33+38=71"
] | Current State: 71:[81, 48, 19, 2], Operations: []
Exploring Operation: 81-48=33, Resulting Numbers: [19, 2, 33]
Generated Node #2: [19, 2, 33] from Operation: 81-48=33
Current State: 71:[19, 2, 33], Operations: ['81-48=33']
Exploring Operation: 19*2=38, Resulting Numbers: [33, 38]
Generated Node #3: [33, 38] from Operation: 19*2=38
Current State: 71:[33, 38], Operations: ['81-48=33', '19*2=38']
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
30,
32,
73,
33
] | 23 | [
"33-30=3",
"32*3=96",
"96-73=23"
] | Current State: 23:[30, 32, 73, 33], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [32, 73, 3]
Generated Node #2: [32, 73, 3] from Operation: 33-30=3
Current State: 23:[32, 73, 3], Operations: ['33-30=3']
Exploring Operation: 32*3=96, Resulting Numbers: [73, 96]
Generated Node #3: [73, 96] from Operation: 32*3=96
Current State: 23:[73, 96], Operations: ['33-30=3', '32*3=96']
Exploring Operation: 96-73=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
29,
49,
20,
18
] | 17 | [
"49-29=20",
"20/20=1",
"18-1=17"
] | Current State: 17:[29, 49, 20, 18], Operations: []
Exploring Operation: 49-29=20, Resulting Numbers: [20, 18, 20]
Generated Node #2: [20, 18, 20] from Operation: 49-29=20
Current State: 17:[20, 18, 20], Operations: ['49-29=20']
Exploring Operation: 20/20=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 20/20=1
Current State: 17:[18, 1], Operations: ['49-29=20', '20/20=1']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
81,
1,
83,
86
] | 83 | [
"81-1=80",
"86-83=3",
"80+3=83"
] | Current State: 83:[81, 1, 83, 86], Operations: []
Exploring Operation: 81-1=80, Resulting Numbers: [83, 86, 80]
Generated Node #2: [83, 86, 80] from Operation: 81-1=80
Current State: 83:[83, 86, 80], Operations: ['81-1=80']
Exploring Operation: 86-83=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 86-83=3
Current State: 83:[80, 3], Operations: ['81-1=80', '86-83=3']
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
83,
10,
61,
15
] | 47 | [
"83+10=93",
"61-15=46",
"93-46=47"
] | Current State: 47:[83, 10, 61, 15], Operations: []
Exploring Operation: 83+10=93, Resulting Numbers: [61, 15, 93]
Generated Node #2: [61, 15, 93] from Operation: 83+10=93
Current State: 47:[61, 15, 93], Operations: ['83+10=93']
Exploring Operation: 61-15=46, Resulting Numbers: [93, 46]
Generated Node #3: [93, 46] from Operation: 61-15=46
Current State: 47:[93, 46], Operations: ['83+10=93', '61-15=46']
Exploring Operation: 93-46=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
17,
55,
93,
19
] | 56 | [
"55*19=1045",
"1045-93=952",
"952/17=56"
] | Current State: 56:[17, 55, 93, 19], Operations: []
Exploring Operation: 55*19=1045, Resulting Numbers: [17, 93, 1045]
Generated Node #2: [17, 93, 1045] from Operation: 55*19=1045
Current State: 56:[17, 93, 1045], Operations: ['55*19=1045']
Exploring Operation: 1045-93=952, Resulting Numbers: [17, 952]
Generated Node #3: [17, 952] from Operation: 1045-93=952
Current State: 56:[17, 952], Operations: ['55*19=1045', '1045-93=952']
Exploring Operation: 952/17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
45,
99,
56,
58
] | 27 | [
"99-45=54",
"58-56=2",
"54/2=27"
] | Current State: 27:[45, 99, 56, 58], Operations: []
Exploring Operation: 99-45=54, Resulting Numbers: [56, 58, 54]
Generated Node #2: [56, 58, 54] from Operation: 99-45=54
Current State: 27:[56, 58, 54], Operations: ['99-45=54']
Exploring Operation: 58-56=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 58-56=2
Current State: 27:[54, 2], Operations: ['99-45=54', '58-56=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
12,
74,
30,
8
] | 26 | [
"12-8=4",
"74+30=104",
"104/4=26"
] | Current State: 26:[12, 74, 30, 8], Operations: []
Exploring Operation: 12-8=4, Resulting Numbers: [74, 30, 4]
Generated Node #2: [74, 30, 4] from Operation: 12-8=4
Current State: 26:[74, 30, 4], Operations: ['12-8=4']
Exploring Operation: 74+30=104, Resulting Numbers: [4, 104]
Generated Node #3: [4, 104] from Operation: 74+30=104
Current State: 26:[4, 104], Operations: ['12-8=4', '74+30=104']
Exploring Operation: 104/4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
66,
47,
83,
6
] | 31 | [
"66-47=19",
"6*19=114",
"114-83=31"
] | Current State: 31:[66, 47, 83, 6], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [83, 6, 19]
Generated Node #2: [83, 6, 19] from Operation: 66-47=19
Current State: 31:[83, 6, 19], Operations: ['66-47=19']
Exploring Operation: 6*19=114, Resulting Numbers: [83, 114]
Generated Node #3: [83, 114] from Operation: 6*19=114
Current State: 31:[83, 114], Operations: ['66-47=19', '6*19=114']
Exploring Operation: 114-83=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
21,
26,
25,
89
] | 59 | [
"26-21=5",
"89-25=64",
"64-5=59"
] | Current State: 59:[21, 26, 25, 89], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [25, 89, 5]
Generated Node #2: [25, 89, 5] from Operation: 26-21=5
Current State: 59:[25, 89, 5], Operations: ['26-21=5']
Exploring Operation: 89-25=64, Resulting Numbers: [5, 64]
Generated Node #3: [5, 64] from Operation: 89-25=64
Current State: 59:[5, 64], Operations: ['26-21=5', '89-25=64']
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
10,
43,
4,
2
] | 45 | [
"10+43=53",
"4*2=8",
"53-8=45"
] | Current State: 45:[10, 43, 4, 2], Operations: []
Exploring Operation: 10+43=53, Resulting Numbers: [4, 2, 53]
Generated Node #2: [4, 2, 53] from Operation: 10+43=53
Current State: 45:[4, 2, 53], Operations: ['10+43=53']
Exploring Operation: 4*2=8, Resulting Numbers: [53, 8]
Generated Node #3: [53, 8] from Operation: 4*2=8
Current State: 45:[53, 8], Operations: ['10+43=53', '4*2=8']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
73,
61,
34,
72
] | 96 | [
"73+61=134",
"72-34=38",
"134-38=96"
] | Current State: 96:[73, 61, 34, 72], Operations: []
Exploring Operation: 73+61=134, Resulting Numbers: [34, 72, 134]
Generated Node #2: [34, 72, 134] from Operation: 73+61=134
Current State: 96:[34, 72, 134], Operations: ['73+61=134']
Exploring Operation: 72-34=38, Resulting Numbers: [134, 38]
Generated Node #3: [134, 38] from Operation: 72-34=38
Current State: 96:[134, 38], Operations: ['73+61=134', '72-34=38']
Exploring Operation: 134-38=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
38,
48,
41,
24
] | 69 | [
"38+48=86",
"41-24=17",
"86-17=69"
] | Current State: 69:[38, 48, 41, 24], Operations: []
Exploring Operation: 38+48=86, Resulting Numbers: [41, 24, 86]
Generated Node #2: [41, 24, 86] from Operation: 38+48=86
Current State: 69:[41, 24, 86], Operations: ['38+48=86']
Exploring Operation: 41-24=17, Resulting Numbers: [86, 17]
Generated Node #3: [86, 17] from Operation: 41-24=17
Current State: 69:[86, 17], Operations: ['38+48=86', '41-24=17']
Exploring Operation: 86-17=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
12,
54,
5,
17
] | 29 | [
"17-12=5",
"5*5=25",
"54-25=29"
] | Current State: 29:[12, 54, 5, 17], Operations: []
Exploring Operation: 17-12=5, Resulting Numbers: [54, 5, 5]
Generated Node #2: [54, 5, 5] from Operation: 17-12=5
Current State: 29:[54, 5, 5], Operations: ['17-12=5']
Exploring Operation: 5*5=25, Resulting Numbers: [54, 25]
Generated Node #3: [54, 25] from Operation: 5*5=25
Current State: 29:[54, 25], Operations: ['17-12=5', '5*5=25']
Exploring Operation: 54-25=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
80,
56,
35,
36
] | 25 | [
"80-56=24",
"36-35=1",
"24+1=25"
] | Current State: 25:[80, 56, 35, 36], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [35, 36, 24]
Generated Node #2: [35, 36, 24] from Operation: 80-56=24
Current State: 25:[35, 36, 24], Operations: ['80-56=24']
Exploring Operation: 36-35=1, Resulting Numbers: [24, 1]
Generated Node #3: [24, 1] from Operation: 36-35=1
Current State: 25:[24, 1], Operations: ['80-56=24', '36-35=1']
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
60,
23,
59,
11
] | 64 | [
"23-11=12",
"60/12=5",
"59+5=64"
] | Current State: 64:[60, 23, 59, 11], Operations: []
Exploring Operation: 23-11=12, Resulting Numbers: [60, 59, 12]
Generated Node #2: [60, 59, 12] from Operation: 23-11=12
Current State: 64:[60, 59, 12], Operations: ['23-11=12']
Exploring Operation: 60/12=5, Resulting Numbers: [59, 5]
Generated Node #3: [59, 5] from Operation: 60/12=5
Current State: 64:[59, 5], Operations: ['23-11=12', '60/12=5']
Exploring Operation: 59+5=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
60,
37,
29,
76
] | 82 | [
"60-37=23",
"29+76=105",
"105-23=82"
] | Current State: 82:[60, 37, 29, 76], Operations: []
Exploring Operation: 60-37=23, Resulting Numbers: [29, 76, 23]
Generated Node #2: [29, 76, 23] from Operation: 60-37=23
Current State: 82:[29, 76, 23], Operations: ['60-37=23']
Exploring Operation: 29+76=105, Resulting Numbers: [23, 105]
Generated Node #3: [23, 105] from Operation: 29+76=105
Current State: 82:[23, 105], Operations: ['60-37=23', '29+76=105']
Exploring Operation: 105-23=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
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