nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
95,
24,
91,
76
] | 13 | [
"95-91=4",
"76-24=52",
"52/4=13"
] | Current State: 13:[95, 24, 91, 76], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [24, 76, 4]
Generated Node #2: [24, 76, 4] from Operation: 95-91=4
Current State: 13:[24, 76, 4], Operations: ['95-91=4']
Exploring Operation: 76-24=52, Resulting Numbers: [4, 52]
Generated Node #3: [4, 52] from Operation: 76-24=52
Current State: 13:[4, 52], Operations: ['95-91=4', '76-24=52']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
70,
96,
90,
27
] | 37 | [
"96-70=26",
"90-27=63",
"63-26=37"
] | Current State: 37:[70, 96, 90, 27], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [90, 27, 26]
Generated Node #2: [90, 27, 26] from Operation: 96-70=26
Current State: 37:[90, 27, 26], Operations: ['96-70=26']
Exploring Operation: 90-27=63, Resulting Numbers: [26, 63]
Generated Node #3: [26, 63] from Operation: 90-27=63
Current State: 37:[26, 63], Operations: ['96-70=26', '90-27=63']
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
42,
21,
11,
65
] | 43 | [
"42/21=2",
"11*2=22",
"65-22=43"
] | Current State: 43:[42, 21, 11, 65], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [11, 65, 2]
Generated Node #2: [11, 65, 2] from Operation: 42/21=2
Current State: 43:[11, 65, 2], Operations: ['42/21=2']
Exploring Operation: 11*2=22, Resulting Numbers: [65, 22]
Generated Node #3: [65, 22] from Operation: 11*2=22
Current State: 43:[65, 22], Operations: ['42/21=2', '11*2=22']
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
2,
24,
51,
19
] | 65 | [
"2*19=38",
"51-24=27",
"38+27=65"
] | Current State: 65:[2, 24, 51, 19], Operations: []
Exploring Operation: 2*19=38, Resulting Numbers: [24, 51, 38]
Generated Node #2: [24, 51, 38] from Operation: 2*19=38
Current State: 65:[24, 51, 38], Operations: ['2*19=38']
Exploring Operation: 51-24=27, Resulting Numbers: [38, 27]
Generated Node #3: [38, 27] from Operation: 51-24=27
Current State: 65:[38, 27], Operations: ['2*19=38', '51-24=27']
Exploring Operation: 38+27=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
65,
80,
3,
24
] | 42 | [
"80-65=15",
"3+24=27",
"15+27=42"
] | Current State: 42:[65, 80, 3, 24], Operations: []
Exploring Operation: 80-65=15, Resulting Numbers: [3, 24, 15]
Generated Node #2: [3, 24, 15] from Operation: 80-65=15
Current State: 42:[3, 24, 15], Operations: ['80-65=15']
Exploring Operation: 3+24=27, Resulting Numbers: [15, 27]
Generated Node #3: [15, 27] from Operation: 3+24=27
Current State: 42:[15, 27], Operations: ['80-65=15', '3+24=27']
Exploring Operation: 15+27=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
57,
70,
28,
59
] | 84 | [
"59-57=2",
"70-28=42",
"2*42=84"
] | Current State: 84:[57, 70, 28, 59], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [70, 28, 2]
Generated Node #2: [70, 28, 2] from Operation: 59-57=2
Current State: 84:[70, 28, 2], Operations: ['59-57=2']
Exploring Operation: 70-28=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 70-28=42
Current State: 84:[2, 42], Operations: ['59-57=2', '70-28=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
2,
51,
41,
25
] | 17 | [
"51-2=49",
"41+25=66",
"66-49=17"
] | Current State: 17:[2, 51, 41, 25], Operations: []
Exploring Operation: 51-2=49, Resulting Numbers: [41, 25, 49]
Generated Node #2: [41, 25, 49] from Operation: 51-2=49
Current State: 17:[41, 25, 49], Operations: ['51-2=49']
Exploring Operation: 41+25=66, Resulting Numbers: [49, 66]
Generated Node #3: [49, 66] from Operation: 41+25=66
Current State: 17:[49, 66], Operations: ['51-2=49', '41+25=66']
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
33,
5,
21,
2
] | 92 | [
"33*2=66",
"5+21=26",
"66+26=92"
] | Current State: 92:[33, 5, 21, 2], Operations: []
Exploring Operation: 33*2=66, Resulting Numbers: [5, 21, 66]
Generated Node #2: [5, 21, 66] from Operation: 33*2=66
Current State: 92:[5, 21, 66], Operations: ['33*2=66']
Exploring Operation: 5+21=26, Resulting Numbers: [66, 26]
Generated Node #3: [66, 26] from Operation: 5+21=26
Current State: 92:[66, 26], Operations: ['33*2=66', '5+21=26']
Exploring Operation: 66+26=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
5,
6,
32,
9
] | 40 | [
"6-5=1",
"32+9=41",
"41-1=40"
] | Current State: 40:[5, 6, 32, 9], Operations: []
Exploring Operation: 6-5=1, Resulting Numbers: [32, 9, 1]
Generated Node #2: [32, 9, 1] from Operation: 6-5=1
Current State: 40:[32, 9, 1], Operations: ['6-5=1']
Exploring Operation: 32+9=41, Resulting Numbers: [1, 41]
Generated Node #3: [1, 41] from Operation: 32+9=41
Current State: 40:[1, 41], Operations: ['6-5=1', '32+9=41']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
51,
6,
99,
30
] | 55 | [
"51+99=150",
"150/6=25",
"30+25=55"
] | Current State: 55:[51, 6, 99, 30], Operations: []
Exploring Operation: 51+99=150, Resulting Numbers: [6, 30, 150]
Generated Node #2: [6, 30, 150] from Operation: 51+99=150
Current State: 55:[6, 30, 150], Operations: ['51+99=150']
Exploring Operation: 150/6=25, Resulting Numbers: [30, 25]
Generated Node #3: [30, 25] from Operation: 150/6=25
Current State: 55:[30, 25], Operations: ['51+99=150', '150/6=25']
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
76,
48,
76,
12
] | 57 | [
"76*48=3648",
"76-12=64",
"3648/64=57"
] | Current State: 57:[76, 48, 76, 12], Operations: []
Exploring Operation: 76*48=3648, Resulting Numbers: [12, 3648]
Generated Node #2: [12, 3648] from Operation: 76*48=3648
Current State: 57:[12, 3648], Operations: ['76*48=3648']
Exploring Operation: 76-12=64, Resulting Numbers: [3648, 64]
Generated Node #3: [3648, 64] from Operation: 76-12=64
Current State: 57:[3648, 64], Operations: ['76*48=3648', '76-12=64']
Exploring Operation: 3648/64=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
24,
56,
19,
77
] | 22 | [
"24+56=80",
"77-19=58",
"80-58=22"
] | Current State: 22:[24, 56, 19, 77], Operations: []
Exploring Operation: 24+56=80, Resulting Numbers: [19, 77, 80]
Generated Node #2: [19, 77, 80] from Operation: 24+56=80
Current State: 22:[19, 77, 80], Operations: ['24+56=80']
Exploring Operation: 77-19=58, Resulting Numbers: [80, 58]
Generated Node #3: [80, 58] from Operation: 77-19=58
Current State: 22:[80, 58], Operations: ['24+56=80', '77-19=58']
Exploring Operation: 80-58=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
92,
31,
62,
94
] | 48 | [
"92*31=2852",
"2852/62=46",
"94-46=48"
] | Current State: 48:[92, 31, 62, 94], Operations: []
Exploring Operation: 92*31=2852, Resulting Numbers: [62, 94, 2852]
Generated Node #2: [62, 94, 2852] from Operation: 92*31=2852
Current State: 48:[62, 94, 2852], Operations: ['92*31=2852']
Exploring Operation: 2852/62=46, Resulting Numbers: [94, 46]
Generated Node #3: [94, 46] from Operation: 2852/62=46
Current State: 48:[94, 46], Operations: ['92*31=2852', '2852/62=46']
Exploring Operation: 94-46=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
7,
4,
56,
74
] | 67 | [
"7+74=81",
"56/4=14",
"81-14=67"
] | Current State: 67:[7, 4, 56, 74], Operations: []
Exploring Operation: 7+74=81, Resulting Numbers: [4, 56, 81]
Generated Node #2: [4, 56, 81] from Operation: 7+74=81
Current State: 67:[4, 56, 81], Operations: ['7+74=81']
Exploring Operation: 56/4=14, Resulting Numbers: [81, 14]
Generated Node #3: [81, 14] from Operation: 56/4=14
Current State: 67:[81, 14], Operations: ['7+74=81', '56/4=14']
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
48,
33,
9,
77
] | 36 | [
"48+33=81",
"81-77=4",
"9*4=36"
] | Current State: 36:[48, 33, 9, 77], Operations: []
Exploring Operation: 48+33=81, Resulting Numbers: [9, 77, 81]
Generated Node #2: [9, 77, 81] from Operation: 48+33=81
Current State: 36:[9, 77, 81], Operations: ['48+33=81']
Exploring Operation: 81-77=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 81-77=4
Current State: 36:[9, 4], Operations: ['48+33=81', '81-77=4']
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
27,
62,
83,
78
] | 84 | [
"27+62=89",
"83-78=5",
"89-5=84"
] | Current State: 84:[27, 62, 83, 78], Operations: []
Exploring Operation: 27+62=89, Resulting Numbers: [83, 78, 89]
Generated Node #2: [83, 78, 89] from Operation: 27+62=89
Current State: 84:[83, 78, 89], Operations: ['27+62=89']
Exploring Operation: 83-78=5, Resulting Numbers: [89, 5]
Generated Node #3: [89, 5] from Operation: 83-78=5
Current State: 84:[89, 5], Operations: ['27+62=89', '83-78=5']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
53,
70,
4,
80
] | 12 | [
"70-53=17",
"4*17=68",
"80-68=12"
] | Current State: 12:[53, 70, 4, 80], Operations: []
Exploring Operation: 70-53=17, Resulting Numbers: [4, 80, 17]
Generated Node #2: [4, 80, 17] from Operation: 70-53=17
Current State: 12:[4, 80, 17], Operations: ['70-53=17']
Exploring Operation: 4*17=68, Resulting Numbers: [80, 68]
Generated Node #3: [80, 68] from Operation: 4*17=68
Current State: 12:[80, 68], Operations: ['70-53=17', '4*17=68']
Exploring Operation: 80-68=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
87,
50,
64,
19
] | 82 | [
"87-50=37",
"64-19=45",
"37+45=82"
] | Current State: 82:[87, 50, 64, 19], Operations: []
Exploring Operation: 87-50=37, Resulting Numbers: [64, 19, 37]
Generated Node #2: [64, 19, 37] from Operation: 87-50=37
Current State: 82:[64, 19, 37], Operations: ['87-50=37']
Exploring Operation: 64-19=45, Resulting Numbers: [37, 45]
Generated Node #3: [37, 45] from Operation: 64-19=45
Current State: 82:[37, 45], Operations: ['87-50=37', '64-19=45']
Exploring Operation: 37+45=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
83,
67,
15,
69
] | 96 | [
"83+67=150",
"69-15=54",
"150-54=96"
] | Current State: 96:[83, 67, 15, 69], Operations: []
Exploring Operation: 83+67=150, Resulting Numbers: [15, 69, 150]
Generated Node #2: [15, 69, 150] from Operation: 83+67=150
Current State: 96:[15, 69, 150], Operations: ['83+67=150']
Exploring Operation: 69-15=54, Resulting Numbers: [150, 54]
Generated Node #3: [150, 54] from Operation: 69-15=54
Current State: 96:[150, 54], Operations: ['83+67=150', '69-15=54']
Exploring Operation: 150-54=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
31,
41,
69,
5
] | 74 | [
"41-31=10",
"69-5=64",
"10+64=74"
] | Current State: 74:[31, 41, 69, 5], Operations: []
Exploring Operation: 41-31=10, Resulting Numbers: [69, 5, 10]
Generated Node #2: [69, 5, 10] from Operation: 41-31=10
Current State: 74:[69, 5, 10], Operations: ['41-31=10']
Exploring Operation: 69-5=64, Resulting Numbers: [10, 64]
Generated Node #3: [10, 64] from Operation: 69-5=64
Current State: 74:[10, 64], Operations: ['41-31=10', '69-5=64']
Exploring Operation: 10+64=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
39,
37,
93,
56
] | 19 | [
"39-37=2",
"56*2=112",
"112-93=19"
] | Current State: 19:[39, 37, 93, 56], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [93, 56, 2]
Generated Node #2: [93, 56, 2] from Operation: 39-37=2
Current State: 19:[93, 56, 2], Operations: ['39-37=2']
Exploring Operation: 56*2=112, Resulting Numbers: [93, 112]
Generated Node #3: [93, 112] from Operation: 56*2=112
Current State: 19:[93, 112], Operations: ['39-37=2', '56*2=112']
Exploring Operation: 112-93=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
60,
36,
61,
67
] | 31 | [
"61-60=1",
"67-36=31",
"1*31=31"
] | Current State: 31:[60, 36, 61, 67], Operations: []
Exploring Operation: 61-60=1, Resulting Numbers: [36, 67, 1]
Generated Node #2: [36, 67, 1] from Operation: 61-60=1
Current State: 31:[36, 67, 1], Operations: ['61-60=1']
Exploring Operation: 67-36=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 67-36=31
Current State: 31:[1, 31], Operations: ['61-60=1', '67-36=31']
Exploring Operation: 1*31=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
83,
15,
96,
53
] | 25 | [
"83-15=68",
"96-53=43",
"68-43=25"
] | Current State: 25:[83, 15, 96, 53], Operations: []
Exploring Operation: 83-15=68, Resulting Numbers: [96, 53, 68]
Generated Node #2: [96, 53, 68] from Operation: 83-15=68
Current State: 25:[96, 53, 68], Operations: ['83-15=68']
Exploring Operation: 96-53=43, Resulting Numbers: [68, 43]
Generated Node #3: [68, 43] from Operation: 96-53=43
Current State: 25:[68, 43], Operations: ['83-15=68', '96-53=43']
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
3,
35,
52,
58
] | 78 | [
"35-3=32",
"52+58=110",
"110-32=78"
] | Current State: 78:[3, 35, 52, 58], Operations: []
Exploring Operation: 35-3=32, Resulting Numbers: [52, 58, 32]
Generated Node #2: [52, 58, 32] from Operation: 35-3=32
Current State: 78:[52, 58, 32], Operations: ['35-3=32']
Exploring Operation: 52+58=110, Resulting Numbers: [32, 110]
Generated Node #3: [32, 110] from Operation: 52+58=110
Current State: 78:[32, 110], Operations: ['35-3=32', '52+58=110']
Exploring Operation: 110-32=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
22,
2,
25,
28
] | 44 | [
"28-22=6",
"2*25=50",
"50-6=44"
] | Current State: 44:[22, 2, 25, 28], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [2, 25, 6]
Generated Node #2: [2, 25, 6] from Operation: 28-22=6
Current State: 44:[2, 25, 6], Operations: ['28-22=6']
Exploring Operation: 2*25=50, Resulting Numbers: [6, 50]
Generated Node #3: [6, 50] from Operation: 2*25=50
Current State: 44:[6, 50], Operations: ['28-22=6', '2*25=50']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
12,
72,
15,
12
] | 20 | [
"72-12=60",
"15-12=3",
"60/3=20"
] | Current State: 20:[12, 72, 15, 12], Operations: []
Exploring Operation: 72-12=60, Resulting Numbers: [15, 60]
Generated Node #2: [15, 60] from Operation: 72-12=60
Current State: 20:[15, 60], Operations: ['72-12=60']
Exploring Operation: 15-12=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 15-12=3
Current State: 20:[60, 3], Operations: ['72-12=60', '15-12=3']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
50,
74,
56,
47
] | 54 | [
"50-47=3",
"74-56=18",
"3*18=54"
] | Current State: 54:[50, 74, 56, 47], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [74, 56, 3]
Generated Node #2: [74, 56, 3] from Operation: 50-47=3
Current State: 54:[74, 56, 3], Operations: ['50-47=3']
Exploring Operation: 74-56=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 74-56=18
Current State: 54:[3, 18], Operations: ['50-47=3', '74-56=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
97,
31,
16,
90
] | 22 | [
"97+31=128",
"16+90=106",
"128-106=22"
] | Current State: 22:[97, 31, 16, 90], Operations: []
Exploring Operation: 97+31=128, Resulting Numbers: [16, 90, 128]
Generated Node #2: [16, 90, 128] from Operation: 97+31=128
Current State: 22:[16, 90, 128], Operations: ['97+31=128']
Exploring Operation: 16+90=106, Resulting Numbers: [128, 106]
Generated Node #3: [128, 106] from Operation: 16+90=106
Current State: 22:[128, 106], Operations: ['97+31=128', '16+90=106']
Exploring Operation: 128-106=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
83,
10,
52,
29
] | 70 | [
"83+10=93",
"52-29=23",
"93-23=70"
] | Current State: 70:[83, 10, 52, 29], Operations: []
Exploring Operation: 83+10=93, Resulting Numbers: [52, 29, 93]
Generated Node #2: [52, 29, 93] from Operation: 83+10=93
Current State: 70:[52, 29, 93], Operations: ['83+10=93']
Exploring Operation: 52-29=23, Resulting Numbers: [93, 23]
Generated Node #3: [93, 23] from Operation: 52-29=23
Current State: 70:[93, 23], Operations: ['83+10=93', '52-29=23']
Exploring Operation: 93-23=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
21,
4,
63,
47
] | 35 | [
"63/21=3",
"4*3=12",
"47-12=35"
] | Current State: 35:[21, 4, 63, 47], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [4, 47, 3]
Generated Node #2: [4, 47, 3] from Operation: 63/21=3
Current State: 35:[4, 47, 3], Operations: ['63/21=3']
Exploring Operation: 4*3=12, Resulting Numbers: [47, 12]
Generated Node #3: [47, 12] from Operation: 4*3=12
Current State: 35:[47, 12], Operations: ['63/21=3', '4*3=12']
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
67,
37,
11,
14
] | 41 | [
"67-11=56",
"56/14=4",
"37+4=41"
] | Current State: 41:[67, 37, 11, 14], Operations: []
Exploring Operation: 67-11=56, Resulting Numbers: [37, 14, 56]
Generated Node #2: [37, 14, 56] from Operation: 67-11=56
Current State: 41:[37, 14, 56], Operations: ['67-11=56']
Exploring Operation: 56/14=4, Resulting Numbers: [37, 4]
Generated Node #3: [37, 4] from Operation: 56/14=4
Current State: 41:[37, 4], Operations: ['67-11=56', '56/14=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
13,
29,
36,
14
] | 91 | [
"36-29=7",
"14-7=7",
"13*7=91"
] | Current State: 91:[13, 29, 36, 14], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [13, 14, 7]
Generated Node #2: [13, 14, 7] from Operation: 36-29=7
Current State: 91:[13, 14, 7], Operations: ['36-29=7']
Exploring Operation: 14-7=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 14-7=7
Current State: 91:[13, 7], Operations: ['36-29=7', '14-7=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
7,
22,
40,
10
] | 50 | [
"7*40=280",
"280/10=28",
"22+28=50"
] | Current State: 50:[7, 22, 40, 10], Operations: []
Exploring Operation: 7*40=280, Resulting Numbers: [22, 10, 280]
Generated Node #2: [22, 10, 280] from Operation: 7*40=280
Current State: 50:[22, 10, 280], Operations: ['7*40=280']
Exploring Operation: 280/10=28, Resulting Numbers: [22, 28]
Generated Node #3: [22, 28] from Operation: 280/10=28
Current State: 50:[22, 28], Operations: ['7*40=280', '280/10=28']
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
56,
24,
94,
52
] | 32 | [
"56*24=1344",
"94-52=42",
"1344/42=32"
] | Current State: 32:[56, 24, 94, 52], Operations: []
Exploring Operation: 56*24=1344, Resulting Numbers: [94, 52, 1344]
Generated Node #2: [94, 52, 1344] from Operation: 56*24=1344
Current State: 32:[94, 52, 1344], Operations: ['56*24=1344']
Exploring Operation: 94-52=42, Resulting Numbers: [1344, 42]
Generated Node #3: [1344, 42] from Operation: 94-52=42
Current State: 32:[1344, 42], Operations: ['56*24=1344', '94-52=42']
Exploring Operation: 1344/42=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
44,
13,
82,
39
] | 100 | [
"44+13=57",
"82-39=43",
"57+43=100"
] | Current State: 100:[44, 13, 82, 39], Operations: []
Exploring Operation: 44+13=57, Resulting Numbers: [82, 39, 57]
Generated Node #2: [82, 39, 57] from Operation: 44+13=57
Current State: 100:[82, 39, 57], Operations: ['44+13=57']
Exploring Operation: 82-39=43, Resulting Numbers: [57, 43]
Generated Node #3: [57, 43] from Operation: 82-39=43
Current State: 100:[57, 43], Operations: ['44+13=57', '82-39=43']
Exploring Operation: 57+43=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
56,
45,
7,
6
] | 83 | [
"56-45=11",
"7*11=77",
"6+77=83"
] | Current State: 83:[56, 45, 7, 6], Operations: []
Exploring Operation: 56-45=11, Resulting Numbers: [7, 6, 11]
Generated Node #2: [7, 6, 11] from Operation: 56-45=11
Current State: 83:[7, 6, 11], Operations: ['56-45=11']
Exploring Operation: 7*11=77, Resulting Numbers: [6, 77]
Generated Node #3: [6, 77] from Operation: 7*11=77
Current State: 83:[6, 77], Operations: ['56-45=11', '7*11=77']
Exploring Operation: 6+77=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
76,
98,
93,
40
] | 31 | [
"98-76=22",
"93-40=53",
"53-22=31"
] | Current State: 31:[76, 98, 93, 40], Operations: []
Exploring Operation: 98-76=22, Resulting Numbers: [93, 40, 22]
Generated Node #2: [93, 40, 22] from Operation: 98-76=22
Current State: 31:[93, 40, 22], Operations: ['98-76=22']
Exploring Operation: 93-40=53, Resulting Numbers: [22, 53]
Generated Node #3: [22, 53] from Operation: 93-40=53
Current State: 31:[22, 53], Operations: ['98-76=22', '93-40=53']
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
93,
2,
7,
8
] | 17 | [
"93-8=85",
"7-2=5",
"85/5=17"
] | Current State: 17:[93, 2, 7, 8], Operations: []
Exploring Operation: 93-8=85, Resulting Numbers: [2, 7, 85]
Generated Node #2: [2, 7, 85] from Operation: 93-8=85
Current State: 17:[2, 7, 85], Operations: ['93-8=85']
Exploring Operation: 7-2=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 7-2=5
Current State: 17:[85, 5], Operations: ['93-8=85', '7-2=5']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
59,
9,
9,
84
] | 26 | [
"84-59=25",
"9/9=1",
"25+1=26"
] | Current State: 26:[59, 9, 9, 84], Operations: []
Exploring Operation: 84-59=25, Resulting Numbers: [9, 9, 25]
Generated Node #2: [9, 9, 25] from Operation: 84-59=25
Current State: 26:[9, 9, 25], Operations: ['84-59=25']
Exploring Operation: 9/9=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 9/9=1
Current State: 26:[25, 1], Operations: ['84-59=25', '9/9=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
43,
20,
18,
8
] | 86 | [
"43*20=860",
"18-8=10",
"860/10=86"
] | Current State: 86:[43, 20, 18, 8], Operations: []
Exploring Operation: 43*20=860, Resulting Numbers: [18, 8, 860]
Generated Node #2: [18, 8, 860] from Operation: 43*20=860
Current State: 86:[18, 8, 860], Operations: ['43*20=860']
Exploring Operation: 18-8=10, Resulting Numbers: [860, 10]
Generated Node #3: [860, 10] from Operation: 18-8=10
Current State: 86:[860, 10], Operations: ['43*20=860', '18-8=10']
Exploring Operation: 860/10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
4,
74,
23,
20
] | 62 | [
"23-20=3",
"4*3=12",
"74-12=62"
] | Current State: 62:[4, 74, 23, 20], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [4, 74, 3]
Generated Node #2: [4, 74, 3] from Operation: 23-20=3
Current State: 62:[4, 74, 3], Operations: ['23-20=3']
Exploring Operation: 4*3=12, Resulting Numbers: [74, 12]
Generated Node #3: [74, 12] from Operation: 4*3=12
Current State: 62:[74, 12], Operations: ['23-20=3', '4*3=12']
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
1,
32,
31,
84
] | 85 | [
"1*32=32",
"84-31=53",
"32+53=85"
] | Current State: 85:[1, 32, 31, 84], Operations: []
Exploring Operation: 1*32=32, Resulting Numbers: [31, 84, 32]
Generated Node #2: [31, 84, 32] from Operation: 1*32=32
Current State: 85:[31, 84, 32], Operations: ['1*32=32']
Exploring Operation: 84-31=53, Resulting Numbers: [32, 53]
Generated Node #3: [32, 53] from Operation: 84-31=53
Current State: 85:[32, 53], Operations: ['1*32=32', '84-31=53']
Exploring Operation: 32+53=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
25,
93,
68,
87
] | 82 | [
"93-87=6",
"25*6=150",
"150-68=82"
] | Current State: 82:[25, 93, 68, 87], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [25, 68, 6]
Generated Node #2: [25, 68, 6] from Operation: 93-87=6
Current State: 82:[25, 68, 6], Operations: ['93-87=6']
Exploring Operation: 25*6=150, Resulting Numbers: [68, 150]
Generated Node #3: [68, 150] from Operation: 25*6=150
Current State: 82:[68, 150], Operations: ['93-87=6', '25*6=150']
Exploring Operation: 150-68=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
87,
30,
3,
42
] | 43 | [
"87-30=57",
"42/3=14",
"57-14=43"
] | Current State: 43:[87, 30, 3, 42], Operations: []
Exploring Operation: 87-30=57, Resulting Numbers: [3, 42, 57]
Generated Node #2: [3, 42, 57] from Operation: 87-30=57
Current State: 43:[3, 42, 57], Operations: ['87-30=57']
Exploring Operation: 42/3=14, Resulting Numbers: [57, 14]
Generated Node #3: [57, 14] from Operation: 42/3=14
Current State: 43:[57, 14], Operations: ['87-30=57', '42/3=14']
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
5,
42,
71,
92
] | 81 | [
"92-42=50",
"50/5=10",
"71+10=81"
] | Current State: 81:[5, 42, 71, 92], Operations: []
Exploring Operation: 92-42=50, Resulting Numbers: [5, 71, 50]
Generated Node #2: [5, 71, 50] from Operation: 92-42=50
Current State: 81:[5, 71, 50], Operations: ['92-42=50']
Exploring Operation: 50/5=10, Resulting Numbers: [71, 10]
Generated Node #3: [71, 10] from Operation: 50/5=10
Current State: 81:[71, 10], Operations: ['92-42=50', '50/5=10']
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
2,
28,
57,
20
] | 95 | [
"20/2=10",
"28+57=85",
"10+85=95"
] | Current State: 95:[2, 28, 57, 20], Operations: []
Exploring Operation: 20/2=10, Resulting Numbers: [28, 57, 10]
Generated Node #2: [28, 57, 10] from Operation: 20/2=10
Current State: 95:[28, 57, 10], Operations: ['20/2=10']
Exploring Operation: 28+57=85, Resulting Numbers: [10, 85]
Generated Node #3: [10, 85] from Operation: 28+57=85
Current State: 95:[10, 85], Operations: ['20/2=10', '28+57=85']
Exploring Operation: 10+85=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
26,
68,
23,
89
] | 73 | [
"26*68=1768",
"1768-89=1679",
"1679/23=73"
] | Current State: 73:[26, 68, 23, 89], Operations: []
Exploring Operation: 26*68=1768, Resulting Numbers: [23, 89, 1768]
Generated Node #2: [23, 89, 1768] from Operation: 26*68=1768
Current State: 73:[23, 89, 1768], Operations: ['26*68=1768']
Exploring Operation: 1768-89=1679, Resulting Numbers: [23, 1679]
Generated Node #3: [23, 1679] from Operation: 1768-89=1679
Current State: 73:[23, 1679], Operations: ['26*68=1768', '1768-89=1679']
Exploring Operation: 1679/23=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
80,
16,
95,
19
] | 12 | [
"80-16=64",
"95-19=76",
"76-64=12"
] | Current State: 12:[80, 16, 95, 19], Operations: []
Exploring Operation: 80-16=64, Resulting Numbers: [95, 19, 64]
Generated Node #2: [95, 19, 64] from Operation: 80-16=64
Current State: 12:[95, 19, 64], Operations: ['80-16=64']
Exploring Operation: 95-19=76, Resulting Numbers: [64, 76]
Generated Node #3: [64, 76] from Operation: 95-19=76
Current State: 12:[64, 76], Operations: ['80-16=64', '95-19=76']
Exploring Operation: 76-64=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
12,
30,
40,
35
] | 23 | [
"30-12=18",
"40-35=5",
"18+5=23"
] | Current State: 23:[12, 30, 40, 35], Operations: []
Exploring Operation: 30-12=18, Resulting Numbers: [40, 35, 18]
Generated Node #2: [40, 35, 18] from Operation: 30-12=18
Current State: 23:[40, 35, 18], Operations: ['30-12=18']
Exploring Operation: 40-35=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 40-35=5
Current State: 23:[18, 5], Operations: ['30-12=18', '40-35=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
99,
4,
12,
57
] | 20 | [
"99-4=95",
"12*95=1140",
"1140/57=20"
] | Current State: 20:[99, 4, 12, 57], Operations: []
Exploring Operation: 99-4=95, Resulting Numbers: [12, 57, 95]
Generated Node #2: [12, 57, 95] from Operation: 99-4=95
Current State: 20:[12, 57, 95], Operations: ['99-4=95']
Exploring Operation: 12*95=1140, Resulting Numbers: [57, 1140]
Generated Node #3: [57, 1140] from Operation: 12*95=1140
Current State: 20:[57, 1140], Operations: ['99-4=95', '12*95=1140']
Exploring Operation: 1140/57=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
25,
21,
72,
36
] | 81 | [
"25-21=4",
"36/4=9",
"72+9=81"
] | Current State: 81:[25, 21, 72, 36], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [72, 36, 4]
Generated Node #2: [72, 36, 4] from Operation: 25-21=4
Current State: 81:[72, 36, 4], Operations: ['25-21=4']
Exploring Operation: 36/4=9, Resulting Numbers: [72, 9]
Generated Node #3: [72, 9] from Operation: 36/4=9
Current State: 81:[72, 9], Operations: ['25-21=4', '36/4=9']
Exploring Operation: 72+9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
4,
64,
56,
12
] | 44 | [
"64-56=8",
"4*8=32",
"12+32=44"
] | Current State: 44:[4, 64, 56, 12], Operations: []
Exploring Operation: 64-56=8, Resulting Numbers: [4, 12, 8]
Generated Node #2: [4, 12, 8] from Operation: 64-56=8
Current State: 44:[4, 12, 8], Operations: ['64-56=8']
Exploring Operation: 4*8=32, Resulting Numbers: [12, 32]
Generated Node #3: [12, 32] from Operation: 4*8=32
Current State: 44:[12, 32], Operations: ['64-56=8', '4*8=32']
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
41,
50,
22,
40
] | 53 | [
"50-41=9",
"22+40=62",
"62-9=53"
] | Current State: 53:[41, 50, 22, 40], Operations: []
Exploring Operation: 50-41=9, Resulting Numbers: [22, 40, 9]
Generated Node #2: [22, 40, 9] from Operation: 50-41=9
Current State: 53:[22, 40, 9], Operations: ['50-41=9']
Exploring Operation: 22+40=62, Resulting Numbers: [9, 62]
Generated Node #3: [9, 62] from Operation: 22+40=62
Current State: 53:[9, 62], Operations: ['50-41=9', '22+40=62']
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
15,
71,
71,
61
] | 61 | [
"71-71=0",
"15*0=0",
"61+0=61"
] | Current State: 61:[15, 71, 71, 61], Operations: []
Exploring Operation: 71-71=0, Resulting Numbers: [15, 61, 0]
Generated Node #2: [15, 61, 0] from Operation: 71-71=0
Current State: 61:[15, 61, 0], Operations: ['71-71=0']
Exploring Operation: 15*0=0, Resulting Numbers: [61, 0]
Generated Node #3: [61, 0] from Operation: 15*0=0
Current State: 61:[61, 0], Operations: ['71-71=0', '15*0=0']
Exploring Operation: 61+0=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
79,
82,
55,
44
] | 77 | [
"82-79=3",
"44*3=132",
"132-55=77"
] | Current State: 77:[79, 82, 55, 44], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [55, 44, 3]
Generated Node #2: [55, 44, 3] from Operation: 82-79=3
Current State: 77:[55, 44, 3], Operations: ['82-79=3']
Exploring Operation: 44*3=132, Resulting Numbers: [55, 132]
Generated Node #3: [55, 132] from Operation: 44*3=132
Current State: 77:[55, 132], Operations: ['82-79=3', '44*3=132']
Exploring Operation: 132-55=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
3,
81,
1,
80
] | 79 | [
"3-1=2",
"80*2=160",
"160-81=79"
] | Current State: 79:[3, 81, 1, 80], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [81, 80, 2]
Generated Node #2: [81, 80, 2] from Operation: 3-1=2
Current State: 79:[81, 80, 2], Operations: ['3-1=2']
Exploring Operation: 80*2=160, Resulting Numbers: [81, 160]
Generated Node #3: [81, 160] from Operation: 80*2=160
Current State: 79:[81, 160], Operations: ['3-1=2', '80*2=160']
Exploring Operation: 160-81=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
97,
26,
32,
89
] | 22 | [
"97-89=8",
"32/8=4",
"26-4=22"
] | Current State: 22:[97, 26, 32, 89], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [26, 32, 8]
Generated Node #2: [26, 32, 8] from Operation: 97-89=8
Current State: 22:[26, 32, 8], Operations: ['97-89=8']
Exploring Operation: 32/8=4, Resulting Numbers: [26, 4]
Generated Node #3: [26, 4] from Operation: 32/8=4
Current State: 22:[26, 4], Operations: ['97-89=8', '32/8=4']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
30,
27,
33,
70
] | 35 | [
"30*70=2100",
"27+33=60",
"2100/60=35"
] | Current State: 35:[30, 27, 33, 70], Operations: []
Exploring Operation: 30*70=2100, Resulting Numbers: [27, 33, 2100]
Generated Node #2: [27, 33, 2100] from Operation: 30*70=2100
Current State: 35:[27, 33, 2100], Operations: ['30*70=2100']
Exploring Operation: 27+33=60, Resulting Numbers: [2100, 60]
Generated Node #3: [2100, 60] from Operation: 27+33=60
Current State: 35:[2100, 60], Operations: ['30*70=2100', '27+33=60']
Exploring Operation: 2100/60=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
12,
94,
19,
28
] | 24 | [
"12*94=1128",
"19+28=47",
"1128/47=24"
] | Current State: 24:[12, 94, 19, 28], Operations: []
Exploring Operation: 12*94=1128, Resulting Numbers: [19, 28, 1128]
Generated Node #2: [19, 28, 1128] from Operation: 12*94=1128
Current State: 24:[19, 28, 1128], Operations: ['12*94=1128']
Exploring Operation: 19+28=47, Resulting Numbers: [1128, 47]
Generated Node #3: [1128, 47] from Operation: 19+28=47
Current State: 24:[1128, 47], Operations: ['12*94=1128', '19+28=47']
Exploring Operation: 1128/47=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
79,
69,
26,
70
] | 86 | [
"79-69=10",
"26+70=96",
"96-10=86"
] | Current State: 86:[79, 69, 26, 70], Operations: []
Exploring Operation: 79-69=10, Resulting Numbers: [26, 70, 10]
Generated Node #2: [26, 70, 10] from Operation: 79-69=10
Current State: 86:[26, 70, 10], Operations: ['79-69=10']
Exploring Operation: 26+70=96, Resulting Numbers: [10, 96]
Generated Node #3: [10, 96] from Operation: 26+70=96
Current State: 86:[10, 96], Operations: ['79-69=10', '26+70=96']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
4,
2,
34,
47
] | 55 | [
"34-2=32",
"32/4=8",
"47+8=55"
] | Current State: 55:[4, 2, 34, 47], Operations: []
Exploring Operation: 34-2=32, Resulting Numbers: [4, 47, 32]
Generated Node #2: [4, 47, 32] from Operation: 34-2=32
Current State: 55:[4, 47, 32], Operations: ['34-2=32']
Exploring Operation: 32/4=8, Resulting Numbers: [47, 8]
Generated Node #3: [47, 8] from Operation: 32/4=8
Current State: 55:[47, 8], Operations: ['34-2=32', '32/4=8']
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
54,
66,
9,
45
] | 64 | [
"66*45=2970",
"2970/54=55",
"9+55=64"
] | Current State: 64:[54, 66, 9, 45], Operations: []
Exploring Operation: 66*45=2970, Resulting Numbers: [54, 9, 2970]
Generated Node #2: [54, 9, 2970] from Operation: 66*45=2970
Current State: 64:[54, 9, 2970], Operations: ['66*45=2970']
Exploring Operation: 2970/54=55, Resulting Numbers: [9, 55]
Generated Node #3: [9, 55] from Operation: 2970/54=55
Current State: 64:[9, 55], Operations: ['66*45=2970', '2970/54=55']
Exploring Operation: 9+55=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
75,
84,
86,
98
] | 21 | [
"84-75=9",
"98-86=12",
"9+12=21"
] | Current State: 21:[75, 84, 86, 98], Operations: []
Exploring Operation: 84-75=9, Resulting Numbers: [86, 98, 9]
Generated Node #2: [86, 98, 9] from Operation: 84-75=9
Current State: 21:[86, 98, 9], Operations: ['84-75=9']
Exploring Operation: 98-86=12, Resulting Numbers: [9, 12]
Generated Node #3: [9, 12] from Operation: 98-86=12
Current State: 21:[9, 12], Operations: ['84-75=9', '98-86=12']
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
2,
90,
66,
78
] | 57 | [
"90/2=45",
"78-66=12",
"45+12=57"
] | Current State: 57:[2, 90, 66, 78], Operations: []
Exploring Operation: 90/2=45, Resulting Numbers: [66, 78, 45]
Generated Node #2: [66, 78, 45] from Operation: 90/2=45
Current State: 57:[66, 78, 45], Operations: ['90/2=45']
Exploring Operation: 78-66=12, Resulting Numbers: [45, 12]
Generated Node #3: [45, 12] from Operation: 78-66=12
Current State: 57:[45, 12], Operations: ['90/2=45', '78-66=12']
Exploring Operation: 45+12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
89,
60,
91,
60
] | 90 | [
"91-89=2",
"60/2=30",
"60+30=90"
] | Current State: 90:[89, 60, 91, 60], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [60, 60, 2]
Generated Node #2: [60, 60, 2] from Operation: 91-89=2
Current State: 90:[60, 60, 2], Operations: ['91-89=2']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,90 equal: Goal Reached
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
4,
69,
90,
69
] | 52 | [
"4+69=73",
"90-69=21",
"73-21=52"
] | Current State: 52:[4, 69, 90, 69], Operations: []
Exploring Operation: 4+69=73, Resulting Numbers: [90, 73]
Generated Node #2: [90, 73] from Operation: 4+69=73
Current State: 52:[90, 73], Operations: ['4+69=73']
Exploring Operation: 90-69=21, Resulting Numbers: [73, 21]
Generated Node #3: [73, 21] from Operation: 90-69=21
Current State: 52:[73, 21], Operations: ['4+69=73', '90-69=21']
Exploring Operation: 73-21=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
52,
45,
54,
63
] | 63 | [
"52-45=7",
"63-54=9",
"7*9=63"
] | Current State: 63:[52, 45, 54, 63], Operations: []
Exploring Operation: 52-45=7, Resulting Numbers: [54, 63, 7]
Generated Node #2: [54, 63, 7] from Operation: 52-45=7
Current State: 63:[54, 63, 7], Operations: ['52-45=7']
Exploring Operation: 63-54=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 63-54=9
Current State: 63:[7, 9], Operations: ['52-45=7', '63-54=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
22,
93,
38,
56
] | 82 | [
"22*93=2046",
"38*56=2128",
"2128-2046=82"
] | Current State: 82:[22, 93, 38, 56], Operations: []
Exploring Operation: 22*93=2046, Resulting Numbers: [38, 56, 2046]
Generated Node #2: [38, 56, 2046] from Operation: 22*93=2046
Current State: 82:[38, 56, 2046], Operations: ['22*93=2046']
Exploring Operation: 38*56=2128, Resulting Numbers: [2046, 2128]
Generated Node #3: [2046, 2128] from Operation: 38*56=2128
Current State: 82:[2046, 2128], Operations: ['22*93=2046', '38*56=2128']
Exploring Operation: 2128-2046=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
91,
12,
43,
67
] | 89 | [
"67-43=24",
"24/12=2",
"91-2=89"
] | Current State: 89:[91, 12, 43, 67], Operations: []
Exploring Operation: 67-43=24, Resulting Numbers: [91, 12, 24]
Generated Node #2: [91, 12, 24] from Operation: 67-43=24
Current State: 89:[91, 12, 24], Operations: ['67-43=24']
Exploring Operation: 24/12=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 24/12=2
Current State: 89:[91, 2], Operations: ['67-43=24', '24/12=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
47,
61,
23,
3
] | 83 | [
"61-47=14",
"23*3=69",
"14+69=83"
] | Current State: 83:[47, 61, 23, 3], Operations: []
Exploring Operation: 61-47=14, Resulting Numbers: [23, 3, 14]
Generated Node #2: [23, 3, 14] from Operation: 61-47=14
Current State: 83:[23, 3, 14], Operations: ['61-47=14']
Exploring Operation: 23*3=69, Resulting Numbers: [14, 69]
Generated Node #3: [14, 69] from Operation: 23*3=69
Current State: 83:[14, 69], Operations: ['61-47=14', '23*3=69']
Exploring Operation: 14+69=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
23,
15,
53,
28
] | 63 | [
"23+15=38",
"53-28=25",
"38+25=63"
] | Current State: 63:[23, 15, 53, 28], Operations: []
Exploring Operation: 23+15=38, Resulting Numbers: [53, 28, 38]
Generated Node #2: [53, 28, 38] from Operation: 23+15=38
Current State: 63:[53, 28, 38], Operations: ['23+15=38']
Exploring Operation: 53-28=25, Resulting Numbers: [38, 25]
Generated Node #3: [38, 25] from Operation: 53-28=25
Current State: 63:[38, 25], Operations: ['23+15=38', '53-28=25']
Exploring Operation: 38+25=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
96,
68,
93,
2
] | 73 | [
"96+68=164",
"93-2=91",
"164-91=73"
] | Current State: 73:[96, 68, 93, 2], Operations: []
Exploring Operation: 96+68=164, Resulting Numbers: [93, 2, 164]
Generated Node #2: [93, 2, 164] from Operation: 96+68=164
Current State: 73:[93, 2, 164], Operations: ['96+68=164']
Exploring Operation: 93-2=91, Resulting Numbers: [164, 91]
Generated Node #3: [164, 91] from Operation: 93-2=91
Current State: 73:[164, 91], Operations: ['96+68=164', '93-2=91']
Exploring Operation: 164-91=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
67,
56,
94,
1
] | 84 | [
"67-56=11",
"94+1=95",
"95-11=84"
] | Current State: 84:[67, 56, 94, 1], Operations: []
Exploring Operation: 67-56=11, Resulting Numbers: [94, 1, 11]
Generated Node #2: [94, 1, 11] from Operation: 67-56=11
Current State: 84:[94, 1, 11], Operations: ['67-56=11']
Exploring Operation: 94+1=95, Resulting Numbers: [11, 95]
Generated Node #3: [11, 95] from Operation: 94+1=95
Current State: 84:[11, 95], Operations: ['67-56=11', '94+1=95']
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
20,
42,
72,
74
] | 20 | [
"42-20=22",
"74-72=2",
"22-2=20"
] | Current State: 20:[20, 42, 72, 74], Operations: []
Exploring Operation: 42-20=22, Resulting Numbers: [72, 74, 22]
Generated Node #2: [72, 74, 22] from Operation: 42-20=22
Current State: 20:[72, 74, 22], Operations: ['42-20=22']
Exploring Operation: 74-72=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 74-72=2
Current State: 20:[22, 2], Operations: ['42-20=22', '74-72=2']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
55,
2,
95,
77
] | 92 | [
"55*2=110",
"95-77=18",
"110-18=92"
] | Current State: 92:[55, 2, 95, 77], Operations: []
Exploring Operation: 55*2=110, Resulting Numbers: [95, 77, 110]
Generated Node #2: [95, 77, 110] from Operation: 55*2=110
Current State: 92:[95, 77, 110], Operations: ['55*2=110']
Exploring Operation: 95-77=18, Resulting Numbers: [110, 18]
Generated Node #3: [110, 18] from Operation: 95-77=18
Current State: 92:[110, 18], Operations: ['55*2=110', '95-77=18']
Exploring Operation: 110-18=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
2,
80,
54,
47
] | 94 | [
"54-47=7",
"2*7=14",
"80+14=94"
] | Current State: 94:[2, 80, 54, 47], Operations: []
Exploring Operation: 54-47=7, Resulting Numbers: [2, 80, 7]
Generated Node #2: [2, 80, 7] from Operation: 54-47=7
Current State: 94:[2, 80, 7], Operations: ['54-47=7']
Exploring Operation: 2*7=14, Resulting Numbers: [80, 14]
Generated Node #3: [80, 14] from Operation: 2*7=14
Current State: 94:[80, 14], Operations: ['54-47=7', '2*7=14']
Exploring Operation: 80+14=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
42,
90,
3,
86
] | 70 | [
"90-42=48",
"48/3=16",
"86-16=70"
] | Current State: 70:[42, 90, 3, 86], Operations: []
Exploring Operation: 90-42=48, Resulting Numbers: [3, 86, 48]
Generated Node #2: [3, 86, 48] from Operation: 90-42=48
Current State: 70:[3, 86, 48], Operations: ['90-42=48']
Exploring Operation: 48/3=16, Resulting Numbers: [86, 16]
Generated Node #3: [86, 16] from Operation: 48/3=16
Current State: 70:[86, 16], Operations: ['90-42=48', '48/3=16']
Exploring Operation: 86-16=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
60,
3,
49,
12
] | 47 | [
"60-49=11",
"3*12=36",
"11+36=47"
] | Current State: 47:[60, 3, 49, 12], Operations: []
Exploring Operation: 60-49=11, Resulting Numbers: [3, 12, 11]
Generated Node #2: [3, 12, 11] from Operation: 60-49=11
Current State: 47:[3, 12, 11], Operations: ['60-49=11']
Exploring Operation: 3*12=36, Resulting Numbers: [11, 36]
Generated Node #3: [11, 36] from Operation: 3*12=36
Current State: 47:[11, 36], Operations: ['60-49=11', '3*12=36']
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
89,
51,
52,
38
] | 10 | [
"89+51=140",
"52-38=14",
"140/14=10"
] | Current State: 10:[89, 51, 52, 38], Operations: []
Exploring Operation: 89+51=140, Resulting Numbers: [52, 38, 140]
Generated Node #2: [52, 38, 140] from Operation: 89+51=140
Current State: 10:[52, 38, 140], Operations: ['89+51=140']
Exploring Operation: 52-38=14, Resulting Numbers: [140, 14]
Generated Node #3: [140, 14] from Operation: 52-38=14
Current State: 10:[140, 14], Operations: ['89+51=140', '52-38=14']
Exploring Operation: 140/14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
62,
48,
27,
75
] | 34 | [
"62-48=14",
"75-27=48",
"48-14=34"
] | Current State: 34:[62, 48, 27, 75], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [27, 75, 14]
Generated Node #2: [27, 75, 14] from Operation: 62-48=14
Current State: 34:[27, 75, 14], Operations: ['62-48=14']
Exploring Operation: 75-27=48, Resulting Numbers: [14, 48]
Generated Node #3: [14, 48] from Operation: 75-27=48
Current State: 34:[14, 48], Operations: ['62-48=14', '75-27=48']
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
71,
39,
10,
82
] | 93 | [
"71+39=110",
"110/10=11",
"82+11=93"
] | Current State: 93:[71, 39, 10, 82], Operations: []
Exploring Operation: 71+39=110, Resulting Numbers: [10, 82, 110]
Generated Node #2: [10, 82, 110] from Operation: 71+39=110
Current State: 93:[10, 82, 110], Operations: ['71+39=110']
Exploring Operation: 110/10=11, Resulting Numbers: [82, 11]
Generated Node #3: [82, 11] from Operation: 110/10=11
Current State: 93:[82, 11], Operations: ['71+39=110', '110/10=11']
Exploring Operation: 82+11=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
7,
60,
2,
15
] | 11 | [
"60+2=62",
"15+62=77",
"77/7=11"
] | Current State: 11:[7, 60, 2, 15], Operations: []
Exploring Operation: 60+2=62, Resulting Numbers: [7, 15, 62]
Generated Node #2: [7, 15, 62] from Operation: 60+2=62
Current State: 11:[7, 15, 62], Operations: ['60+2=62']
Exploring Operation: 15+62=77, Resulting Numbers: [7, 77]
Generated Node #3: [7, 77] from Operation: 15+62=77
Current State: 11:[7, 77], Operations: ['60+2=62', '15+62=77']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
77,
5,
63,
67
] | 51 | [
"63+67=130",
"130/5=26",
"77-26=51"
] | Current State: 51:[77, 5, 63, 67], Operations: []
Exploring Operation: 63+67=130, Resulting Numbers: [77, 5, 130]
Generated Node #2: [77, 5, 130] from Operation: 63+67=130
Current State: 51:[77, 5, 130], Operations: ['63+67=130']
Exploring Operation: 130/5=26, Resulting Numbers: [77, 26]
Generated Node #3: [77, 26] from Operation: 130/5=26
Current State: 51:[77, 26], Operations: ['63+67=130', '130/5=26']
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
91,
2,
68,
19
] | 76 | [
"91+19=110",
"68/2=34",
"110-34=76"
] | Current State: 76:[91, 2, 68, 19], Operations: []
Exploring Operation: 91+19=110, Resulting Numbers: [2, 68, 110]
Generated Node #2: [2, 68, 110] from Operation: 91+19=110
Current State: 76:[2, 68, 110], Operations: ['91+19=110']
Exploring Operation: 68/2=34, Resulting Numbers: [110, 34]
Generated Node #3: [110, 34] from Operation: 68/2=34
Current State: 76:[110, 34], Operations: ['91+19=110', '68/2=34']
Exploring Operation: 110-34=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
2,
70,
12,
26
] | 45 | [
"26/2=13",
"70-12=58",
"58-13=45"
] | Current State: 45:[2, 70, 12, 26], Operations: []
Exploring Operation: 26/2=13, Resulting Numbers: [70, 12, 13]
Generated Node #2: [70, 12, 13] from Operation: 26/2=13
Current State: 45:[70, 12, 13], Operations: ['26/2=13']
Exploring Operation: 70-12=58, Resulting Numbers: [13, 58]
Generated Node #3: [13, 58] from Operation: 70-12=58
Current State: 45:[13, 58], Operations: ['26/2=13', '70-12=58']
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
16,
51,
5,
51
] | 44 | [
"51-16=35",
"35/5=7",
"51-7=44"
] | Current State: 44:[16, 51, 5, 51], Operations: []
Exploring Operation: 51-16=35, Resulting Numbers: [5, 35]
Generated Node #2: [5, 35] from Operation: 51-16=35
Current State: 44:[5, 35], Operations: ['51-16=35']
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,44 equal: Goal Reached
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
73,
5,
72,
40
] | 37 | [
"73+72=145",
"40+145=185",
"185/5=37"
] | Current State: 37:[73, 5, 72, 40], Operations: []
Exploring Operation: 73+72=145, Resulting Numbers: [5, 40, 145]
Generated Node #2: [5, 40, 145] from Operation: 73+72=145
Current State: 37:[5, 40, 145], Operations: ['73+72=145']
Exploring Operation: 40+145=185, Resulting Numbers: [5, 185]
Generated Node #3: [5, 185] from Operation: 40+145=185
Current State: 37:[5, 185], Operations: ['73+72=145', '40+145=185']
Exploring Operation: 185/5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
15,
56,
13,
2
] | 13 | [
"15*2=30",
"56-13=43",
"43-30=13"
] | Current State: 13:[15, 56, 13, 2], Operations: []
Exploring Operation: 15*2=30, Resulting Numbers: [56, 13, 30]
Generated Node #2: [56, 13, 30] from Operation: 15*2=30
Current State: 13:[56, 13, 30], Operations: ['15*2=30']
Exploring Operation: 56-13=43, Resulting Numbers: [30, 43]
Generated Node #3: [30, 43] from Operation: 56-13=43
Current State: 13:[30, 43], Operations: ['15*2=30', '56-13=43']
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
20,
84,
9,
86
] | 27 | [
"20+84=104",
"86-9=77",
"104-77=27"
] | Current State: 27:[20, 84, 9, 86], Operations: []
Exploring Operation: 20+84=104, Resulting Numbers: [9, 86, 104]
Generated Node #2: [9, 86, 104] from Operation: 20+84=104
Current State: 27:[9, 86, 104], Operations: ['20+84=104']
Exploring Operation: 86-9=77, Resulting Numbers: [104, 77]
Generated Node #3: [104, 77] from Operation: 86-9=77
Current State: 27:[104, 77], Operations: ['20+84=104', '86-9=77']
Exploring Operation: 104-77=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
24,
9,
5,
50
] | 79 | [
"24*5=120",
"50-9=41",
"120-41=79"
] | Current State: 79:[24, 9, 5, 50], Operations: []
Exploring Operation: 24*5=120, Resulting Numbers: [9, 50, 120]
Generated Node #2: [9, 50, 120] from Operation: 24*5=120
Current State: 79:[9, 50, 120], Operations: ['24*5=120']
Exploring Operation: 50-9=41, Resulting Numbers: [120, 41]
Generated Node #3: [120, 41] from Operation: 50-9=41
Current State: 79:[120, 41], Operations: ['24*5=120', '50-9=41']
Exploring Operation: 120-41=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
90,
55,
71,
54
] | 38 | [
"55*54=2970",
"2970/90=33",
"71-33=38"
] | Current State: 38:[90, 55, 71, 54], Operations: []
Exploring Operation: 55*54=2970, Resulting Numbers: [90, 71, 2970]
Generated Node #2: [90, 71, 2970] from Operation: 55*54=2970
Current State: 38:[90, 71, 2970], Operations: ['55*54=2970']
Exploring Operation: 2970/90=33, Resulting Numbers: [71, 33]
Generated Node #3: [71, 33] from Operation: 2970/90=33
Current State: 38:[71, 33], Operations: ['55*54=2970', '2970/90=33']
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
23,
59,
25,
30
] | 88 | [
"25-23=2",
"59*2=118",
"118-30=88"
] | Current State: 88:[23, 59, 25, 30], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [59, 30, 2]
Generated Node #2: [59, 30, 2] from Operation: 25-23=2
Current State: 88:[59, 30, 2], Operations: ['25-23=2']
Exploring Operation: 59*2=118, Resulting Numbers: [30, 118]
Generated Node #3: [30, 118] from Operation: 59*2=118
Current State: 88:[30, 118], Operations: ['25-23=2', '59*2=118']
Exploring Operation: 118-30=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
36,
14,
2,
16
] | 51 | [
"14+16=30",
"30/2=15",
"36+15=51"
] | Current State: 51:[36, 14, 2, 16], Operations: []
Exploring Operation: 14+16=30, Resulting Numbers: [36, 2, 30]
Generated Node #2: [36, 2, 30] from Operation: 14+16=30
Current State: 51:[36, 2, 30], Operations: ['14+16=30']
Exploring Operation: 30/2=15, Resulting Numbers: [36, 15]
Generated Node #3: [36, 15] from Operation: 30/2=15
Current State: 51:[36, 15], Operations: ['14+16=30', '30/2=15']
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
30,
29,
34,
35
] | 58 | [
"30+29=59",
"35-34=1",
"59-1=58"
] | Current State: 58:[30, 29, 34, 35], Operations: []
Exploring Operation: 30+29=59, Resulting Numbers: [34, 35, 59]
Generated Node #2: [34, 35, 59] from Operation: 30+29=59
Current State: 58:[34, 35, 59], Operations: ['30+29=59']
Exploring Operation: 35-34=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 35-34=1
Current State: 58:[59, 1], Operations: ['30+29=59', '35-34=1']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
72,
28,
26,
7
] | 77 | [
"72-28=44",
"26+7=33",
"44+33=77"
] | Current State: 77:[72, 28, 26, 7], Operations: []
Exploring Operation: 72-28=44, Resulting Numbers: [26, 7, 44]
Generated Node #2: [26, 7, 44] from Operation: 72-28=44
Current State: 77:[26, 7, 44], Operations: ['72-28=44']
Exploring Operation: 26+7=33, Resulting Numbers: [44, 33]
Generated Node #3: [44, 33] from Operation: 26+7=33
Current State: 77:[44, 33], Operations: ['72-28=44', '26+7=33']
Exploring Operation: 44+33=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
59,
57,
57,
13
] | 68 | [
"59-57=2",
"57+13=70",
"70-2=68"
] | Current State: 68:[59, 57, 57, 13], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [13, 2]
Generated Node #2: [13, 2] from Operation: 59-57=2
Current State: 68:[13, 2], Operations: ['59-57=2']
Exploring Operation: 57+13=70, Resulting Numbers: [2, 70]
Generated Node #3: [2, 70] from Operation: 57+13=70
Current State: 68:[2, 70], Operations: ['59-57=2', '57+13=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
45,
80,
62,
82
] | 81 | [
"62+82=144",
"45*144=6480",
"6480/80=81"
] | Current State: 81:[45, 80, 62, 82], Operations: []
Exploring Operation: 62+82=144, Resulting Numbers: [45, 80, 144]
Generated Node #2: [45, 80, 144] from Operation: 62+82=144
Current State: 81:[45, 80, 144], Operations: ['62+82=144']
Exploring Operation: 45*144=6480, Resulting Numbers: [80, 6480]
Generated Node #3: [80, 6480] from Operation: 45*144=6480
Current State: 81:[80, 6480], Operations: ['62+82=144', '45*144=6480']
Exploring Operation: 6480/80=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
6,
50,
66,
19
] | 33 | [
"6+19=25",
"50/25=2",
"66/2=33"
] | Current State: 33:[6, 50, 66, 19], Operations: []
Exploring Operation: 6+19=25, Resulting Numbers: [50, 66, 25]
Generated Node #2: [50, 66, 25] from Operation: 6+19=25
Current State: 33:[50, 66, 25], Operations: ['6+19=25']
Exploring Operation: 50/25=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 50/25=2
Current State: 33:[66, 2], Operations: ['6+19=25', '50/25=2']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
92,
20,
51,
31
] | 52 | [
"92-20=72",
"51-31=20",
"72-20=52"
] | Current State: 52:[92, 20, 51, 31], Operations: []
Exploring Operation: 92-20=72, Resulting Numbers: [51, 31, 72]
Generated Node #2: [51, 31, 72] from Operation: 92-20=72
Current State: 52:[51, 31, 72], Operations: ['92-20=72']
Exploring Operation: 51-31=20, Resulting Numbers: [72, 20]
Generated Node #3: [72, 20] from Operation: 51-31=20
Current State: 52:[72, 20], Operations: ['92-20=72', '51-31=20']
Exploring Operation: 72-20=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
63,
27,
64,
71
] | 36 | [
"71-64=7",
"63/7=9",
"27+9=36"
] | Current State: 36:[63, 27, 64, 71], Operations: []
Exploring Operation: 71-64=7, Resulting Numbers: [63, 27, 7]
Generated Node #2: [63, 27, 7] from Operation: 71-64=7
Current State: 36:[63, 27, 7], Operations: ['71-64=7']
Exploring Operation: 63/7=9, Resulting Numbers: [27, 9]
Generated Node #3: [27, 9] from Operation: 63/7=9
Current State: 36:[27, 9], Operations: ['71-64=7', '63/7=9']
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
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