nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
66,
70,
24,
51
] | 23 | [
"70-66=4",
"51-24=27",
"27-4=23"
] | Current State: 23:[66, 70, 24, 51], Operations: []
Exploring Operation: 70-66=4, Resulting Numbers: [24, 51, 4]
Generated Node #2: [24, 51, 4] from Operation: 70-66=4
Current State: 23:[24, 51, 4], Operations: ['70-66=4']
Exploring Operation: 51-24=27, Resulting Numbers: [4, 27]
Generated Node #3: [4, 27] from Operation: 51-24=27
Current State: 23:[4, 27], Operations: ['70-66=4', '51-24=27']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
85,
86,
27,
94
] | 67 | [
"86-85=1",
"94-27=67",
"1*67=67"
] | Current State: 67:[85, 86, 27, 94], Operations: []
Exploring Operation: 86-85=1, Resulting Numbers: [27, 94, 1]
Generated Node #2: [27, 94, 1] from Operation: 86-85=1
Current State: 67:[27, 94, 1], Operations: ['86-85=1']
Exploring Operation: 94-27=67, Resulting Numbers: [1, 67]
Generated Node #3: [1, 67] from Operation: 94-27=67
Current State: 67:[1, 67], Operations: ['86-85=1', '94-27=67']
Exploring Operation: 1*67=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
4,
97,
36,
56
] | 81 | [
"4+97=101",
"56-36=20",
"101-20=81"
] | Current State: 81:[4, 97, 36, 56], Operations: []
Exploring Operation: 4+97=101, Resulting Numbers: [36, 56, 101]
Generated Node #2: [36, 56, 101] from Operation: 4+97=101
Current State: 81:[36, 56, 101], Operations: ['4+97=101']
Exploring Operation: 56-36=20, Resulting Numbers: [101, 20]
Generated Node #3: [101, 20] from Operation: 56-36=20
Current State: 81:[101, 20], Operations: ['4+97=101', '56-36=20']
Exploring Operation: 101-20=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
6,
79,
15,
17
] | 71 | [
"79-6=73",
"17-15=2",
"73-2=71"
] | Current State: 71:[6, 79, 15, 17], Operations: []
Exploring Operation: 79-6=73, Resulting Numbers: [15, 17, 73]
Generated Node #2: [15, 17, 73] from Operation: 79-6=73
Current State: 71:[15, 17, 73], Operations: ['79-6=73']
Exploring Operation: 17-15=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 17-15=2
Current State: 71:[73, 2], Operations: ['79-6=73', '17-15=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
44,
37,
51,
56
] | 54 | [
"37+51=88",
"88/44=2",
"56-2=54"
] | Current State: 54:[44, 37, 51, 56], Operations: []
Exploring Operation: 37+51=88, Resulting Numbers: [44, 56, 88]
Generated Node #2: [44, 56, 88] from Operation: 37+51=88
Current State: 54:[44, 56, 88], Operations: ['37+51=88']
Exploring Operation: 88/44=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 88/44=2
Current State: 54:[56, 2], Operations: ['37+51=88', '88/44=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
60,
84,
31,
2
] | 46 | [
"84-31=53",
"2*53=106",
"106-60=46"
] | Current State: 46:[60, 84, 31, 2], Operations: []
Exploring Operation: 84-31=53, Resulting Numbers: [60, 2, 53]
Generated Node #2: [60, 2, 53] from Operation: 84-31=53
Current State: 46:[60, 2, 53], Operations: ['84-31=53']
Exploring Operation: 2*53=106, Resulting Numbers: [60, 106]
Generated Node #3: [60, 106] from Operation: 2*53=106
Current State: 46:[60, 106], Operations: ['84-31=53', '2*53=106']
Exploring Operation: 106-60=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
66,
6,
28,
79
] | 21 | [
"66+6=72",
"79-28=51",
"72-51=21"
] | Current State: 21:[66, 6, 28, 79], Operations: []
Exploring Operation: 66+6=72, Resulting Numbers: [28, 79, 72]
Generated Node #2: [28, 79, 72] from Operation: 66+6=72
Current State: 21:[28, 79, 72], Operations: ['66+6=72']
Exploring Operation: 79-28=51, Resulting Numbers: [72, 51]
Generated Node #3: [72, 51] from Operation: 79-28=51
Current State: 21:[72, 51], Operations: ['66+6=72', '79-28=51']
Exploring Operation: 72-51=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
13,
65,
15,
2
] | 41 | [
"65-13=52",
"52/2=26",
"15+26=41"
] | Current State: 41:[13, 65, 15, 2], Operations: []
Exploring Operation: 65-13=52, Resulting Numbers: [15, 2, 52]
Generated Node #2: [15, 2, 52] from Operation: 65-13=52
Current State: 41:[15, 2, 52], Operations: ['65-13=52']
Exploring Operation: 52/2=26, Resulting Numbers: [15, 26]
Generated Node #3: [15, 26] from Operation: 52/2=26
Current State: 41:[15, 26], Operations: ['65-13=52', '52/2=26']
Exploring Operation: 15+26=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
79,
56,
6,
5
] | 42 | [
"79+5=84",
"84/6=14",
"56-14=42"
] | Current State: 42:[79, 56, 6, 5], Operations: []
Exploring Operation: 79+5=84, Resulting Numbers: [56, 6, 84]
Generated Node #2: [56, 6, 84] from Operation: 79+5=84
Current State: 42:[56, 6, 84], Operations: ['79+5=84']
Exploring Operation: 84/6=14, Resulting Numbers: [56, 14]
Generated Node #3: [56, 14] from Operation: 84/6=14
Current State: 42:[56, 14], Operations: ['79+5=84', '84/6=14']
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
28,
16,
84,
80
] | 67 | [
"28*84=2352",
"2352/16=147",
"147-80=67"
] | Current State: 67:[28, 16, 84, 80], Operations: []
Exploring Operation: 28*84=2352, Resulting Numbers: [16, 80, 2352]
Generated Node #2: [16, 80, 2352] from Operation: 28*84=2352
Current State: 67:[16, 80, 2352], Operations: ['28*84=2352']
Exploring Operation: 2352/16=147, Resulting Numbers: [80, 147]
Generated Node #3: [80, 147] from Operation: 2352/16=147
Current State: 67:[80, 147], Operations: ['28*84=2352', '2352/16=147']
Exploring Operation: 147-80=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
69,
47,
64,
51
] | 93 | [
"69-47=22",
"64+51=115",
"115-22=93"
] | Current State: 93:[69, 47, 64, 51], Operations: []
Exploring Operation: 69-47=22, Resulting Numbers: [64, 51, 22]
Generated Node #2: [64, 51, 22] from Operation: 69-47=22
Current State: 93:[64, 51, 22], Operations: ['69-47=22']
Exploring Operation: 64+51=115, Resulting Numbers: [22, 115]
Generated Node #3: [22, 115] from Operation: 64+51=115
Current State: 93:[22, 115], Operations: ['69-47=22', '64+51=115']
Exploring Operation: 115-22=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
3,
83,
28,
28
] | 27 | [
"3*28=84",
"83+28=111",
"111-84=27"
] | Current State: 27:[3, 83, 28, 28], Operations: []
Exploring Operation: 3*28=84, Resulting Numbers: [83, 84]
Generated Node #2: [83, 84] from Operation: 3*28=84
Current State: 27:[83, 84], Operations: ['3*28=84']
Exploring Operation: 83+28=111, Resulting Numbers: [84, 111]
Generated Node #3: [84, 111] from Operation: 83+28=111
Current State: 27:[84, 111], Operations: ['3*28=84', '83+28=111']
Exploring Operation: 111-84=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
30,
47,
91,
23
] | 85 | [
"47-30=17",
"91-23=68",
"17+68=85"
] | Current State: 85:[30, 47, 91, 23], Operations: []
Exploring Operation: 47-30=17, Resulting Numbers: [91, 23, 17]
Generated Node #2: [91, 23, 17] from Operation: 47-30=17
Current State: 85:[91, 23, 17], Operations: ['47-30=17']
Exploring Operation: 91-23=68, Resulting Numbers: [17, 68]
Generated Node #3: [17, 68] from Operation: 91-23=68
Current State: 85:[17, 68], Operations: ['47-30=17', '91-23=68']
Exploring Operation: 17+68=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
8,
68,
19,
57
] | 53 | [
"8+68=76",
"76/19=4",
"57-4=53"
] | Current State: 53:[8, 68, 19, 57], Operations: []
Exploring Operation: 8+68=76, Resulting Numbers: [19, 57, 76]
Generated Node #2: [19, 57, 76] from Operation: 8+68=76
Current State: 53:[19, 57, 76], Operations: ['8+68=76']
Exploring Operation: 76/19=4, Resulting Numbers: [57, 4]
Generated Node #3: [57, 4] from Operation: 76/19=4
Current State: 53:[57, 4], Operations: ['8+68=76', '76/19=4']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
55,
41,
56,
59
] | 68 | [
"59-56=3",
"41*3=123",
"123-55=68"
] | Current State: 68:[55, 41, 56, 59], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [55, 41, 3]
Generated Node #2: [55, 41, 3] from Operation: 59-56=3
Current State: 68:[55, 41, 3], Operations: ['59-56=3']
Exploring Operation: 41*3=123, Resulting Numbers: [55, 123]
Generated Node #3: [55, 123] from Operation: 41*3=123
Current State: 68:[55, 123], Operations: ['59-56=3', '41*3=123']
Exploring Operation: 123-55=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
37,
39,
81,
2
] | 46 | [
"37*2=74",
"39+81=120",
"120-74=46"
] | Current State: 46:[37, 39, 81, 2], Operations: []
Exploring Operation: 37*2=74, Resulting Numbers: [39, 81, 74]
Generated Node #2: [39, 81, 74] from Operation: 37*2=74
Current State: 46:[39, 81, 74], Operations: ['37*2=74']
Exploring Operation: 39+81=120, Resulting Numbers: [74, 120]
Generated Node #3: [74, 120] from Operation: 39+81=120
Current State: 46:[74, 120], Operations: ['37*2=74', '39+81=120']
Exploring Operation: 120-74=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
78,
4,
9,
3
] | 99 | [
"78+9=87",
"4*3=12",
"87+12=99"
] | Current State: 99:[78, 4, 9, 3], Operations: []
Exploring Operation: 78+9=87, Resulting Numbers: [4, 3, 87]
Generated Node #2: [4, 3, 87] from Operation: 78+9=87
Current State: 99:[4, 3, 87], Operations: ['78+9=87']
Exploring Operation: 4*3=12, Resulting Numbers: [87, 12]
Generated Node #3: [87, 12] from Operation: 4*3=12
Current State: 99:[87, 12], Operations: ['78+9=87', '4*3=12']
Exploring Operation: 87+12=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
72,
8,
84,
26
] | 22 | [
"72+8=80",
"84-26=58",
"80-58=22"
] | Current State: 22:[72, 8, 84, 26], Operations: []
Exploring Operation: 72+8=80, Resulting Numbers: [84, 26, 80]
Generated Node #2: [84, 26, 80] from Operation: 72+8=80
Current State: 22:[84, 26, 80], Operations: ['72+8=80']
Exploring Operation: 84-26=58, Resulting Numbers: [80, 58]
Generated Node #3: [80, 58] from Operation: 84-26=58
Current State: 22:[80, 58], Operations: ['72+8=80', '84-26=58']
Exploring Operation: 80-58=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
27,
21,
47,
25
] | 89 | [
"27-25=2",
"21*2=42",
"47+42=89"
] | Current State: 89:[27, 21, 47, 25], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [21, 47, 2]
Generated Node #2: [21, 47, 2] from Operation: 27-25=2
Current State: 89:[21, 47, 2], Operations: ['27-25=2']
Exploring Operation: 21*2=42, Resulting Numbers: [47, 42]
Generated Node #3: [47, 42] from Operation: 21*2=42
Current State: 89:[47, 42], Operations: ['27-25=2', '21*2=42']
Exploring Operation: 47+42=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
25,
57,
19,
84
] | 53 | [
"57/19=3",
"84/3=28",
"25+28=53"
] | Current State: 53:[25, 57, 19, 84], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [25, 84, 3]
Generated Node #2: [25, 84, 3] from Operation: 57/19=3
Current State: 53:[25, 84, 3], Operations: ['57/19=3']
Exploring Operation: 84/3=28, Resulting Numbers: [25, 28]
Generated Node #3: [25, 28] from Operation: 84/3=28
Current State: 53:[25, 28], Operations: ['57/19=3', '84/3=28']
Exploring Operation: 25+28=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
3,
46,
57,
37
] | 69 | [
"3+46=49",
"57-37=20",
"49+20=69"
] | Current State: 69:[3, 46, 57, 37], Operations: []
Exploring Operation: 3+46=49, Resulting Numbers: [57, 37, 49]
Generated Node #2: [57, 37, 49] from Operation: 3+46=49
Current State: 69:[57, 37, 49], Operations: ['3+46=49']
Exploring Operation: 57-37=20, Resulting Numbers: [49, 20]
Generated Node #3: [49, 20] from Operation: 57-37=20
Current State: 69:[49, 20], Operations: ['3+46=49', '57-37=20']
Exploring Operation: 49+20=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
6,
33,
87,
2
] | 96 | [
"6+33=39",
"87-39=48",
"2*48=96"
] | Current State: 96:[6, 33, 87, 2], Operations: []
Exploring Operation: 6+33=39, Resulting Numbers: [87, 2, 39]
Generated Node #2: [87, 2, 39] from Operation: 6+33=39
Current State: 96:[87, 2, 39], Operations: ['6+33=39']
Exploring Operation: 87-39=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 87-39=48
Current State: 96:[2, 48], Operations: ['6+33=39', '87-39=48']
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
50,
31,
1,
2
] | 65 | [
"31-1=30",
"30/2=15",
"50+15=65"
] | Current State: 65:[50, 31, 1, 2], Operations: []
Exploring Operation: 31-1=30, Resulting Numbers: [50, 2, 30]
Generated Node #2: [50, 2, 30] from Operation: 31-1=30
Current State: 65:[50, 2, 30], Operations: ['31-1=30']
Exploring Operation: 30/2=15, Resulting Numbers: [50, 15]
Generated Node #3: [50, 15] from Operation: 30/2=15
Current State: 65:[50, 15], Operations: ['31-1=30', '30/2=15']
Exploring Operation: 50+15=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
10,
41,
42,
26
] | 37 | [
"41-10=31",
"42+26=68",
"68-31=37"
] | Current State: 37:[10, 41, 42, 26], Operations: []
Exploring Operation: 41-10=31, Resulting Numbers: [42, 26, 31]
Generated Node #2: [42, 26, 31] from Operation: 41-10=31
Current State: 37:[42, 26, 31], Operations: ['41-10=31']
Exploring Operation: 42+26=68, Resulting Numbers: [31, 68]
Generated Node #3: [31, 68] from Operation: 42+26=68
Current State: 37:[31, 68], Operations: ['41-10=31', '42+26=68']
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
75,
77,
90,
88
] | 46 | [
"77-75=2",
"88/2=44",
"90-44=46"
] | Current State: 46:[75, 77, 90, 88], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [90, 88, 2]
Generated Node #2: [90, 88, 2] from Operation: 77-75=2
Current State: 46:[90, 88, 2], Operations: ['77-75=2']
Exploring Operation: 88/2=44, Resulting Numbers: [90, 44]
Generated Node #3: [90, 44] from Operation: 88/2=44
Current State: 46:[90, 44], Operations: ['77-75=2', '88/2=44']
Exploring Operation: 90-44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
9,
60,
63,
26
] | 78 | [
"9*26=234",
"63-60=3",
"234/3=78"
] | Current State: 78:[9, 60, 63, 26], Operations: []
Exploring Operation: 9*26=234, Resulting Numbers: [60, 63, 234]
Generated Node #2: [60, 63, 234] from Operation: 9*26=234
Current State: 78:[60, 63, 234], Operations: ['9*26=234']
Exploring Operation: 63-60=3, Resulting Numbers: [234, 3]
Generated Node #3: [234, 3] from Operation: 63-60=3
Current State: 78:[234, 3], Operations: ['9*26=234', '63-60=3']
Exploring Operation: 234/3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
89,
60,
95,
8
] | 46 | [
"89+60=149",
"95+8=103",
"149-103=46"
] | Current State: 46:[89, 60, 95, 8], Operations: []
Exploring Operation: 89+60=149, Resulting Numbers: [95, 8, 149]
Generated Node #2: [95, 8, 149] from Operation: 89+60=149
Current State: 46:[95, 8, 149], Operations: ['89+60=149']
Exploring Operation: 95+8=103, Resulting Numbers: [149, 103]
Generated Node #3: [149, 103] from Operation: 95+8=103
Current State: 46:[149, 103], Operations: ['89+60=149', '95+8=103']
Exploring Operation: 149-103=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
6,
62,
40,
17
] | 11 | [
"6+62=68",
"40+17=57",
"68-57=11"
] | Current State: 11:[6, 62, 40, 17], Operations: []
Exploring Operation: 6+62=68, Resulting Numbers: [40, 17, 68]
Generated Node #2: [40, 17, 68] from Operation: 6+62=68
Current State: 11:[40, 17, 68], Operations: ['6+62=68']
Exploring Operation: 40+17=57, Resulting Numbers: [68, 57]
Generated Node #3: [68, 57] from Operation: 40+17=57
Current State: 11:[68, 57], Operations: ['6+62=68', '40+17=57']
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
81,
85,
40,
84
] | 11 | [
"85-81=4",
"84-40=44",
"44/4=11"
] | Current State: 11:[81, 85, 40, 84], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [40, 84, 4]
Generated Node #2: [40, 84, 4] from Operation: 85-81=4
Current State: 11:[40, 84, 4], Operations: ['85-81=4']
Exploring Operation: 84-40=44, Resulting Numbers: [4, 44]
Generated Node #3: [4, 44] from Operation: 84-40=44
Current State: 11:[4, 44], Operations: ['85-81=4', '84-40=44']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
96,
84,
74,
94
] | 47 | [
"96-94=2",
"74/2=37",
"84-37=47"
] | Current State: 47:[96, 84, 74, 94], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [84, 74, 2]
Generated Node #2: [84, 74, 2] from Operation: 96-94=2
Current State: 47:[84, 74, 2], Operations: ['96-94=2']
Exploring Operation: 74/2=37, Resulting Numbers: [84, 37]
Generated Node #3: [84, 37] from Operation: 74/2=37
Current State: 47:[84, 37], Operations: ['96-94=2', '74/2=37']
Exploring Operation: 84-37=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
88,
39,
39,
39
] | 90 | [
"39+39=78",
"78/39=2",
"88+2=90"
] | Current State: 90:[88, 39, 39, 39], Operations: []
Exploring Operation: 39+39=78, Resulting Numbers: [88, 78]
Generated Node #2: [88, 78] from Operation: 39+39=78
Current State: 90:[88, 78], Operations: ['39+39=78']
Exploring Operation: 78/39=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 78/39=2
Current State: 90:[88, 2], Operations: ['39+39=78', '78/39=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
13,
83,
85,
54
] | 22 | [
"13*85=1105",
"83+1105=1188",
"1188/54=22"
] | Current State: 22:[13, 83, 85, 54], Operations: []
Exploring Operation: 13*85=1105, Resulting Numbers: [83, 54, 1105]
Generated Node #2: [83, 54, 1105] from Operation: 13*85=1105
Current State: 22:[83, 54, 1105], Operations: ['13*85=1105']
Exploring Operation: 83+1105=1188, Resulting Numbers: [54, 1188]
Generated Node #3: [54, 1188] from Operation: 83+1105=1188
Current State: 22:[54, 1188], Operations: ['13*85=1105', '83+1105=1188']
Exploring Operation: 1188/54=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
52,
28,
1,
24
] | 57 | [
"52+28=80",
"24-1=23",
"80-23=57"
] | Current State: 57:[52, 28, 1, 24], Operations: []
Exploring Operation: 52+28=80, Resulting Numbers: [1, 24, 80]
Generated Node #2: [1, 24, 80] from Operation: 52+28=80
Current State: 57:[1, 24, 80], Operations: ['52+28=80']
Exploring Operation: 24-1=23, Resulting Numbers: [80, 23]
Generated Node #3: [80, 23] from Operation: 24-1=23
Current State: 57:[80, 23], Operations: ['52+28=80', '24-1=23']
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
30,
57,
18,
55
] | 100 | [
"57-30=27",
"18+55=73",
"27+73=100"
] | Current State: 100:[30, 57, 18, 55], Operations: []
Exploring Operation: 57-30=27, Resulting Numbers: [18, 55, 27]
Generated Node #2: [18, 55, 27] from Operation: 57-30=27
Current State: 100:[18, 55, 27], Operations: ['57-30=27']
Exploring Operation: 18+55=73, Resulting Numbers: [27, 73]
Generated Node #3: [27, 73] from Operation: 18+55=73
Current State: 100:[27, 73], Operations: ['57-30=27', '18+55=73']
Exploring Operation: 27+73=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
25,
34,
58,
32
] | 35 | [
"34-25=9",
"58-32=26",
"9+26=35"
] | Current State: 35:[25, 34, 58, 32], Operations: []
Exploring Operation: 34-25=9, Resulting Numbers: [58, 32, 9]
Generated Node #2: [58, 32, 9] from Operation: 34-25=9
Current State: 35:[58, 32, 9], Operations: ['34-25=9']
Exploring Operation: 58-32=26, Resulting Numbers: [9, 26]
Generated Node #3: [9, 26] from Operation: 58-32=26
Current State: 35:[9, 26], Operations: ['34-25=9', '58-32=26']
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
15,
21,
73,
21
] | 87 | [
"15+73=88",
"21/21=1",
"88-1=87"
] | Current State: 87:[15, 21, 73, 21], Operations: []
Exploring Operation: 15+73=88, Resulting Numbers: [21, 21, 88]
Generated Node #2: [21, 21, 88] from Operation: 15+73=88
Current State: 87:[21, 21, 88], Operations: ['15+73=88']
Exploring Operation: 21/21=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 21/21=1
Current State: 87:[88, 1], Operations: ['15+73=88', '21/21=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
21,
73,
2,
34
] | 91 | [
"21+34=55",
"73*2=146",
"146-55=91"
] | Current State: 91:[21, 73, 2, 34], Operations: []
Exploring Operation: 21+34=55, Resulting Numbers: [73, 2, 55]
Generated Node #2: [73, 2, 55] from Operation: 21+34=55
Current State: 91:[73, 2, 55], Operations: ['21+34=55']
Exploring Operation: 73*2=146, Resulting Numbers: [55, 146]
Generated Node #3: [55, 146] from Operation: 73*2=146
Current State: 91:[55, 146], Operations: ['21+34=55', '73*2=146']
Exploring Operation: 146-55=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
3,
76,
48,
9
] | 22 | [
"3+76=79",
"48+9=57",
"79-57=22"
] | Current State: 22:[3, 76, 48, 9], Operations: []
Exploring Operation: 3+76=79, Resulting Numbers: [48, 9, 79]
Generated Node #2: [48, 9, 79] from Operation: 3+76=79
Current State: 22:[48, 9, 79], Operations: ['3+76=79']
Exploring Operation: 48+9=57, Resulting Numbers: [79, 57]
Generated Node #3: [79, 57] from Operation: 48+9=57
Current State: 22:[79, 57], Operations: ['3+76=79', '48+9=57']
Exploring Operation: 79-57=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
44,
76,
70,
35
] | 82 | [
"76*35=2660",
"2660/70=38",
"44+38=82"
] | Current State: 82:[44, 76, 70, 35], Operations: []
Exploring Operation: 76*35=2660, Resulting Numbers: [44, 70, 2660]
Generated Node #2: [44, 70, 2660] from Operation: 76*35=2660
Current State: 82:[44, 70, 2660], Operations: ['76*35=2660']
Exploring Operation: 2660/70=38, Resulting Numbers: [44, 38]
Generated Node #3: [44, 38] from Operation: 2660/70=38
Current State: 82:[44, 38], Operations: ['76*35=2660', '2660/70=38']
Exploring Operation: 44+38=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
40,
32,
30,
83
] | 45 | [
"40-32=8",
"83-30=53",
"53-8=45"
] | Current State: 45:[40, 32, 30, 83], Operations: []
Exploring Operation: 40-32=8, Resulting Numbers: [30, 83, 8]
Generated Node #2: [30, 83, 8] from Operation: 40-32=8
Current State: 45:[30, 83, 8], Operations: ['40-32=8']
Exploring Operation: 83-30=53, Resulting Numbers: [8, 53]
Generated Node #3: [8, 53] from Operation: 83-30=53
Current State: 45:[8, 53], Operations: ['40-32=8', '83-30=53']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
3,
66,
68,
8
] | 86 | [
"68-8=60",
"60/3=20",
"66+20=86"
] | Current State: 86:[3, 66, 68, 8], Operations: []
Exploring Operation: 68-8=60, Resulting Numbers: [3, 66, 60]
Generated Node #2: [3, 66, 60] from Operation: 68-8=60
Current State: 86:[3, 66, 60], Operations: ['68-8=60']
Exploring Operation: 60/3=20, Resulting Numbers: [66, 20]
Generated Node #3: [66, 20] from Operation: 60/3=20
Current State: 86:[66, 20], Operations: ['68-8=60', '60/3=20']
Exploring Operation: 66+20=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
64,
78,
55,
27
] | 81 | [
"64-55=9",
"27/9=3",
"78+3=81"
] | Current State: 81:[64, 78, 55, 27], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [78, 27, 9]
Generated Node #2: [78, 27, 9] from Operation: 64-55=9
Current State: 81:[78, 27, 9], Operations: ['64-55=9']
Exploring Operation: 27/9=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 27/9=3
Current State: 81:[78, 3], Operations: ['64-55=9', '27/9=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
35,
79,
74,
71
] | 78 | [
"79-74=5",
"35/5=7",
"71+7=78"
] | Current State: 78:[35, 79, 74, 71], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [35, 71, 5]
Generated Node #2: [35, 71, 5] from Operation: 79-74=5
Current State: 78:[35, 71, 5], Operations: ['79-74=5']
Exploring Operation: 35/5=7, Resulting Numbers: [71, 7]
Generated Node #3: [71, 7] from Operation: 35/5=7
Current State: 78:[71, 7], Operations: ['79-74=5', '35/5=7']
Exploring Operation: 71+7=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
77,
88,
56,
15
] | 94 | [
"77+88=165",
"56+15=71",
"165-71=94"
] | Current State: 94:[77, 88, 56, 15], Operations: []
Exploring Operation: 77+88=165, Resulting Numbers: [56, 15, 165]
Generated Node #2: [56, 15, 165] from Operation: 77+88=165
Current State: 94:[56, 15, 165], Operations: ['77+88=165']
Exploring Operation: 56+15=71, Resulting Numbers: [165, 71]
Generated Node #3: [165, 71] from Operation: 56+15=71
Current State: 94:[165, 71], Operations: ['77+88=165', '56+15=71']
Exploring Operation: 165-71=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
75,
1,
46,
21
] | 100 | [
"75*1=75",
"46-21=25",
"75+25=100"
] | Current State: 100:[75, 1, 46, 21], Operations: []
Exploring Operation: 75*1=75, Resulting Numbers: [46, 21, 75]
Generated Node #2: [46, 21, 75] from Operation: 75*1=75
Current State: 100:[46, 21, 75], Operations: ['75*1=75']
Exploring Operation: 46-21=25, Resulting Numbers: [75, 25]
Generated Node #3: [75, 25] from Operation: 46-21=25
Current State: 100:[75, 25], Operations: ['75*1=75', '46-21=25']
Exploring Operation: 75+25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
82,
16,
33,
90
] | 41 | [
"82+16=98",
"90-33=57",
"98-57=41"
] | Current State: 41:[82, 16, 33, 90], Operations: []
Exploring Operation: 82+16=98, Resulting Numbers: [33, 90, 98]
Generated Node #2: [33, 90, 98] from Operation: 82+16=98
Current State: 41:[33, 90, 98], Operations: ['82+16=98']
Exploring Operation: 90-33=57, Resulting Numbers: [98, 57]
Generated Node #3: [98, 57] from Operation: 90-33=57
Current State: 41:[98, 57], Operations: ['82+16=98', '90-33=57']
Exploring Operation: 98-57=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
16,
88,
80,
3
] | 56 | [
"88-16=72",
"72/3=24",
"80-24=56"
] | Current State: 56:[16, 88, 80, 3], Operations: []
Exploring Operation: 88-16=72, Resulting Numbers: [80, 3, 72]
Generated Node #2: [80, 3, 72] from Operation: 88-16=72
Current State: 56:[80, 3, 72], Operations: ['88-16=72']
Exploring Operation: 72/3=24, Resulting Numbers: [80, 24]
Generated Node #3: [80, 24] from Operation: 72/3=24
Current State: 56:[80, 24], Operations: ['88-16=72', '72/3=24']
Exploring Operation: 80-24=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
28,
80,
16,
6
] | 29 | [
"28+6=34",
"80/16=5",
"34-5=29"
] | Current State: 29:[28, 80, 16, 6], Operations: []
Exploring Operation: 28+6=34, Resulting Numbers: [80, 16, 34]
Generated Node #2: [80, 16, 34] from Operation: 28+6=34
Current State: 29:[80, 16, 34], Operations: ['28+6=34']
Exploring Operation: 80/16=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 80/16=5
Current State: 29:[34, 5], Operations: ['28+6=34', '80/16=5']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
3,
40,
17,
98
] | 29 | [
"40-17=23",
"3*23=69",
"98-69=29"
] | Current State: 29:[3, 40, 17, 98], Operations: []
Exploring Operation: 40-17=23, Resulting Numbers: [3, 98, 23]
Generated Node #2: [3, 98, 23] from Operation: 40-17=23
Current State: 29:[3, 98, 23], Operations: ['40-17=23']
Exploring Operation: 3*23=69, Resulting Numbers: [98, 69]
Generated Node #3: [98, 69] from Operation: 3*23=69
Current State: 29:[98, 69], Operations: ['40-17=23', '3*23=69']
Exploring Operation: 98-69=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
32,
99,
29,
5
] | 28 | [
"32-29=3",
"99/3=33",
"33-5=28"
] | Current State: 28:[32, 99, 29, 5], Operations: []
Exploring Operation: 32-29=3, Resulting Numbers: [99, 5, 3]
Generated Node #2: [99, 5, 3] from Operation: 32-29=3
Current State: 28:[99, 5, 3], Operations: ['32-29=3']
Exploring Operation: 99/3=33, Resulting Numbers: [5, 33]
Generated Node #3: [5, 33] from Operation: 99/3=33
Current State: 28:[5, 33], Operations: ['32-29=3', '99/3=33']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
51,
82,
68,
15
] | 80 | [
"51+82=133",
"68-15=53",
"133-53=80"
] | Current State: 80:[51, 82, 68, 15], Operations: []
Exploring Operation: 51+82=133, Resulting Numbers: [68, 15, 133]
Generated Node #2: [68, 15, 133] from Operation: 51+82=133
Current State: 80:[68, 15, 133], Operations: ['51+82=133']
Exploring Operation: 68-15=53, Resulting Numbers: [133, 53]
Generated Node #3: [133, 53] from Operation: 68-15=53
Current State: 80:[133, 53], Operations: ['51+82=133', '68-15=53']
Exploring Operation: 133-53=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
18,
15,
54,
31
] | 19 | [
"54/18=3",
"31-15=16",
"3+16=19"
] | Current State: 19:[18, 15, 54, 31], Operations: []
Exploring Operation: 54/18=3, Resulting Numbers: [15, 31, 3]
Generated Node #2: [15, 31, 3] from Operation: 54/18=3
Current State: 19:[15, 31, 3], Operations: ['54/18=3']
Exploring Operation: 31-15=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 31-15=16
Current State: 19:[3, 16], Operations: ['54/18=3', '31-15=16']
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
24,
23,
80,
1
] | 32 | [
"24+23=47",
"80-1=79",
"79-47=32"
] | Current State: 32:[24, 23, 80, 1], Operations: []
Exploring Operation: 24+23=47, Resulting Numbers: [80, 1, 47]
Generated Node #2: [80, 1, 47] from Operation: 24+23=47
Current State: 32:[80, 1, 47], Operations: ['24+23=47']
Exploring Operation: 80-1=79, Resulting Numbers: [47, 79]
Generated Node #3: [47, 79] from Operation: 80-1=79
Current State: 32:[47, 79], Operations: ['24+23=47', '80-1=79']
Exploring Operation: 79-47=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
81,
32,
2,
59
] | 43 | [
"81-59=22",
"22/2=11",
"32+11=43"
] | Current State: 43:[81, 32, 2, 59], Operations: []
Exploring Operation: 81-59=22, Resulting Numbers: [32, 2, 22]
Generated Node #2: [32, 2, 22] from Operation: 81-59=22
Current State: 43:[32, 2, 22], Operations: ['81-59=22']
Exploring Operation: 22/2=11, Resulting Numbers: [32, 11]
Generated Node #3: [32, 11] from Operation: 22/2=11
Current State: 43:[32, 11], Operations: ['81-59=22', '22/2=11']
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
37,
51,
72,
81
] | 40 | [
"72+81=153",
"153/51=3",
"37+3=40"
] | Current State: 40:[37, 51, 72, 81], Operations: []
Exploring Operation: 72+81=153, Resulting Numbers: [37, 51, 153]
Generated Node #2: [37, 51, 153] from Operation: 72+81=153
Current State: 40:[37, 51, 153], Operations: ['72+81=153']
Exploring Operation: 153/51=3, Resulting Numbers: [37, 3]
Generated Node #3: [37, 3] from Operation: 153/51=3
Current State: 40:[37, 3], Operations: ['72+81=153', '153/51=3']
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
23,
44,
34,
80
] | 42 | [
"80-34=46",
"46/23=2",
"44-2=42"
] | Current State: 42:[23, 44, 34, 80], Operations: []
Exploring Operation: 80-34=46, Resulting Numbers: [23, 44, 46]
Generated Node #2: [23, 44, 46] from Operation: 80-34=46
Current State: 42:[23, 44, 46], Operations: ['80-34=46']
Exploring Operation: 46/23=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 46/23=2
Current State: 42:[44, 2], Operations: ['80-34=46', '46/23=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
73,
3,
9,
39
] | 89 | [
"9+39=48",
"48/3=16",
"73+16=89"
] | Current State: 89:[73, 3, 9, 39], Operations: []
Exploring Operation: 9+39=48, Resulting Numbers: [73, 3, 48]
Generated Node #2: [73, 3, 48] from Operation: 9+39=48
Current State: 89:[73, 3, 48], Operations: ['9+39=48']
Exploring Operation: 48/3=16, Resulting Numbers: [73, 16]
Generated Node #3: [73, 16] from Operation: 48/3=16
Current State: 89:[73, 16], Operations: ['9+39=48', '48/3=16']
Exploring Operation: 73+16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
43,
77,
79,
32
] | 27 | [
"79-77=2",
"32/2=16",
"43-16=27"
] | Current State: 27:[43, 77, 79, 32], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [43, 32, 2]
Generated Node #2: [43, 32, 2] from Operation: 79-77=2
Current State: 27:[43, 32, 2], Operations: ['79-77=2']
Exploring Operation: 32/2=16, Resulting Numbers: [43, 16]
Generated Node #3: [43, 16] from Operation: 32/2=16
Current State: 27:[43, 16], Operations: ['79-77=2', '32/2=16']
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
99,
8,
58,
30
] | 19 | [
"99+8=107",
"58+30=88",
"107-88=19"
] | Current State: 19:[99, 8, 58, 30], Operations: []
Exploring Operation: 99+8=107, Resulting Numbers: [58, 30, 107]
Generated Node #2: [58, 30, 107] from Operation: 99+8=107
Current State: 19:[58, 30, 107], Operations: ['99+8=107']
Exploring Operation: 58+30=88, Resulting Numbers: [107, 88]
Generated Node #3: [107, 88] from Operation: 58+30=88
Current State: 19:[107, 88], Operations: ['99+8=107', '58+30=88']
Exploring Operation: 107-88=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
4,
8,
6,
29
] | 60 | [
"8+6=14",
"29-14=15",
"4*15=60"
] | Current State: 60:[4, 8, 6, 29], Operations: []
Exploring Operation: 8+6=14, Resulting Numbers: [4, 29, 14]
Generated Node #2: [4, 29, 14] from Operation: 8+6=14
Current State: 60:[4, 29, 14], Operations: ['8+6=14']
Exploring Operation: 29-14=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 29-14=15
Current State: 60:[4, 15], Operations: ['8+6=14', '29-14=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
84,
78,
12,
18
] | 89 | [
"84/12=7",
"78+18=96",
"96-7=89"
] | Current State: 89:[84, 78, 12, 18], Operations: []
Exploring Operation: 84/12=7, Resulting Numbers: [78, 18, 7]
Generated Node #2: [78, 18, 7] from Operation: 84/12=7
Current State: 89:[78, 18, 7], Operations: ['84/12=7']
Exploring Operation: 78+18=96, Resulting Numbers: [7, 96]
Generated Node #3: [7, 96] from Operation: 78+18=96
Current State: 89:[7, 96], Operations: ['84/12=7', '78+18=96']
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
25,
39,
81,
3
] | 27 | [
"81-3=78",
"78/39=2",
"25+2=27"
] | Current State: 27:[25, 39, 81, 3], Operations: []
Exploring Operation: 81-3=78, Resulting Numbers: [25, 39, 78]
Generated Node #2: [25, 39, 78] from Operation: 81-3=78
Current State: 27:[25, 39, 78], Operations: ['81-3=78']
Exploring Operation: 78/39=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 78/39=2
Current State: 27:[25, 2], Operations: ['81-3=78', '78/39=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
72,
38,
26,
18
] | 26 | [
"72-38=34",
"26-18=8",
"34-8=26"
] | Current State: 26:[72, 38, 26, 18], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [26, 18, 34]
Generated Node #2: [26, 18, 34] from Operation: 72-38=34
Current State: 26:[26, 18, 34], Operations: ['72-38=34']
Exploring Operation: 26-18=8, Resulting Numbers: [34, 8]
Generated Node #3: [34, 8] from Operation: 26-18=8
Current State: 26:[34, 8], Operations: ['72-38=34', '26-18=8']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
93,
15,
20,
7
] | 32 | [
"93+15=108",
"20*7=140",
"140-108=32"
] | Current State: 32:[93, 15, 20, 7], Operations: []
Exploring Operation: 93+15=108, Resulting Numbers: [20, 7, 108]
Generated Node #2: [20, 7, 108] from Operation: 93+15=108
Current State: 32:[20, 7, 108], Operations: ['93+15=108']
Exploring Operation: 20*7=140, Resulting Numbers: [108, 140]
Generated Node #3: [108, 140] from Operation: 20*7=140
Current State: 32:[108, 140], Operations: ['93+15=108', '20*7=140']
Exploring Operation: 140-108=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
84,
10,
24,
8
] | 48 | [
"84-24=60",
"60/10=6",
"8*6=48"
] | Current State: 48:[84, 10, 24, 8], Operations: []
Exploring Operation: 84-24=60, Resulting Numbers: [10, 8, 60]
Generated Node #2: [10, 8, 60] from Operation: 84-24=60
Current State: 48:[10, 8, 60], Operations: ['84-24=60']
Exploring Operation: 60/10=6, Resulting Numbers: [8, 6]
Generated Node #3: [8, 6] from Operation: 60/10=6
Current State: 48:[8, 6], Operations: ['84-24=60', '60/10=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
70,
43,
9,
22
] | 100 | [
"70+43=113",
"22-9=13",
"113-13=100"
] | Current State: 100:[70, 43, 9, 22], Operations: []
Exploring Operation: 70+43=113, Resulting Numbers: [9, 22, 113]
Generated Node #2: [9, 22, 113] from Operation: 70+43=113
Current State: 100:[9, 22, 113], Operations: ['70+43=113']
Exploring Operation: 22-9=13, Resulting Numbers: [113, 13]
Generated Node #3: [113, 13] from Operation: 22-9=13
Current State: 100:[113, 13], Operations: ['70+43=113', '22-9=13']
Exploring Operation: 113-13=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
34,
33,
38,
24
] | 63 | [
"34-33=1",
"38+24=62",
"1+62=63"
] | Current State: 63:[34, 33, 38, 24], Operations: []
Exploring Operation: 34-33=1, Resulting Numbers: [38, 24, 1]
Generated Node #2: [38, 24, 1] from Operation: 34-33=1
Current State: 63:[38, 24, 1], Operations: ['34-33=1']
Exploring Operation: 38+24=62, Resulting Numbers: [1, 62]
Generated Node #3: [1, 62] from Operation: 38+24=62
Current State: 63:[1, 62], Operations: ['34-33=1', '38+24=62']
Exploring Operation: 1+62=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
83,
66,
8,
59
] | 26 | [
"83+66=149",
"59+149=208",
"208/8=26"
] | Current State: 26:[83, 66, 8, 59], Operations: []
Exploring Operation: 83+66=149, Resulting Numbers: [8, 59, 149]
Generated Node #2: [8, 59, 149] from Operation: 83+66=149
Current State: 26:[8, 59, 149], Operations: ['83+66=149']
Exploring Operation: 59+149=208, Resulting Numbers: [8, 208]
Generated Node #3: [8, 208] from Operation: 59+149=208
Current State: 26:[8, 208], Operations: ['83+66=149', '59+149=208']
Exploring Operation: 208/8=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
20,
23,
16,
23
] | 71 | [
"23-20=3",
"16*3=48",
"23+48=71"
] | Current State: 71:[20, 23, 16, 23], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [16, 3]
Generated Node #2: [16, 3] from Operation: 23-20=3
Current State: 71:[16, 3], Operations: ['23-20=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,71 equal: Goal Reached
Exploring Operation: 23+48=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
70,
50,
47,
21
] | 63 | [
"50-47=3",
"21/3=7",
"70-7=63"
] | Current State: 63:[70, 50, 47, 21], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [70, 21, 3]
Generated Node #2: [70, 21, 3] from Operation: 50-47=3
Current State: 63:[70, 21, 3], Operations: ['50-47=3']
Exploring Operation: 21/3=7, Resulting Numbers: [70, 7]
Generated Node #3: [70, 7] from Operation: 21/3=7
Current State: 63:[70, 7], Operations: ['50-47=3', '21/3=7']
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
33,
6,
28,
83
] | 82 | [
"33-6=27",
"83-28=55",
"27+55=82"
] | Current State: 82:[33, 6, 28, 83], Operations: []
Exploring Operation: 33-6=27, Resulting Numbers: [28, 83, 27]
Generated Node #2: [28, 83, 27] from Operation: 33-6=27
Current State: 82:[28, 83, 27], Operations: ['33-6=27']
Exploring Operation: 83-28=55, Resulting Numbers: [27, 55]
Generated Node #3: [27, 55] from Operation: 83-28=55
Current State: 82:[27, 55], Operations: ['33-6=27', '83-28=55']
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
4,
26,
29,
27
] | 86 | [
"4+26=30",
"29+27=56",
"30+56=86"
] | Current State: 86:[4, 26, 29, 27], Operations: []
Exploring Operation: 4+26=30, Resulting Numbers: [29, 27, 30]
Generated Node #2: [29, 27, 30] from Operation: 4+26=30
Current State: 86:[29, 27, 30], Operations: ['4+26=30']
Exploring Operation: 29+27=56, Resulting Numbers: [30, 56]
Generated Node #3: [30, 56] from Operation: 29+27=56
Current State: 86:[30, 56], Operations: ['4+26=30', '29+27=56']
Exploring Operation: 30+56=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
8,
49,
14,
9
] | 56 | [
"49+14=63",
"8*63=504",
"504/9=56"
] | Current State: 56:[8, 49, 14, 9], Operations: []
Exploring Operation: 49+14=63, Resulting Numbers: [8, 9, 63]
Generated Node #2: [8, 9, 63] from Operation: 49+14=63
Current State: 56:[8, 9, 63], Operations: ['49+14=63']
Exploring Operation: 8*63=504, Resulting Numbers: [9, 504]
Generated Node #3: [9, 504] from Operation: 8*63=504
Current State: 56:[9, 504], Operations: ['49+14=63', '8*63=504']
Exploring Operation: 504/9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
41,
80,
4,
39
] | 10 | [
"41-39=2",
"80/4=20",
"20/2=10"
] | Current State: 10:[41, 80, 4, 39], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [80, 4, 2]
Generated Node #2: [80, 4, 2] from Operation: 41-39=2
Current State: 10:[80, 4, 2], Operations: ['41-39=2']
Exploring Operation: 80/4=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 80/4=20
Current State: 10:[2, 20], Operations: ['41-39=2', '80/4=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
52,
48,
22,
30
] | 49 | [
"52-22=30",
"30/30=1",
"48+1=49"
] | Current State: 49:[52, 48, 22, 30], Operations: []
Exploring Operation: 52-22=30, Resulting Numbers: [48, 30, 30]
Generated Node #2: [48, 30, 30] from Operation: 52-22=30
Current State: 49:[48, 30, 30], Operations: ['52-22=30']
Exploring Operation: 30/30=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 30/30=1
Current State: 49:[48, 1], Operations: ['52-22=30', '30/30=1']
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
15,
18,
81,
20
] | 58 | [
"18-15=3",
"81-20=61",
"61-3=58"
] | Current State: 58:[15, 18, 81, 20], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [81, 20, 3]
Generated Node #2: [81, 20, 3] from Operation: 18-15=3
Current State: 58:[81, 20, 3], Operations: ['18-15=3']
Exploring Operation: 81-20=61, Resulting Numbers: [3, 61]
Generated Node #3: [3, 61] from Operation: 81-20=61
Current State: 58:[3, 61], Operations: ['18-15=3', '81-20=61']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
96,
14,
69,
90
] | 64 | [
"96*14=1344",
"90-69=21",
"1344/21=64"
] | Current State: 64:[96, 14, 69, 90], Operations: []
Exploring Operation: 96*14=1344, Resulting Numbers: [69, 90, 1344]
Generated Node #2: [69, 90, 1344] from Operation: 96*14=1344
Current State: 64:[69, 90, 1344], Operations: ['96*14=1344']
Exploring Operation: 90-69=21, Resulting Numbers: [1344, 21]
Generated Node #3: [1344, 21] from Operation: 90-69=21
Current State: 64:[1344, 21], Operations: ['96*14=1344', '90-69=21']
Exploring Operation: 1344/21=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
22,
3,
93,
28
] | 25 | [
"28-22=6",
"93/3=31",
"31-6=25"
] | Current State: 25:[22, 3, 93, 28], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [3, 93, 6]
Generated Node #2: [3, 93, 6] from Operation: 28-22=6
Current State: 25:[3, 93, 6], Operations: ['28-22=6']
Exploring Operation: 93/3=31, Resulting Numbers: [6, 31]
Generated Node #3: [6, 31] from Operation: 93/3=31
Current State: 25:[6, 31], Operations: ['28-22=6', '93/3=31']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
83,
70,
84,
82
] | 57 | [
"84-82=2",
"70*2=140",
"140-83=57"
] | Current State: 57:[83, 70, 84, 82], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [83, 70, 2]
Generated Node #2: [83, 70, 2] from Operation: 84-82=2
Current State: 57:[83, 70, 2], Operations: ['84-82=2']
Exploring Operation: 70*2=140, Resulting Numbers: [83, 140]
Generated Node #3: [83, 140] from Operation: 70*2=140
Current State: 57:[83, 140], Operations: ['84-82=2', '70*2=140']
Exploring Operation: 140-83=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
43,
12,
30,
96
] | 11 | [
"43+12=55",
"96-30=66",
"66-55=11"
] | Current State: 11:[43, 12, 30, 96], Operations: []
Exploring Operation: 43+12=55, Resulting Numbers: [30, 96, 55]
Generated Node #2: [30, 96, 55] from Operation: 43+12=55
Current State: 11:[30, 96, 55], Operations: ['43+12=55']
Exploring Operation: 96-30=66, Resulting Numbers: [55, 66]
Generated Node #3: [55, 66] from Operation: 96-30=66
Current State: 11:[55, 66], Operations: ['43+12=55', '96-30=66']
Exploring Operation: 66-55=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
27,
24,
63,
3
] | 36 | [
"27+24=51",
"63-51=12",
"3*12=36"
] | Current State: 36:[27, 24, 63, 3], Operations: []
Exploring Operation: 27+24=51, Resulting Numbers: [63, 3, 51]
Generated Node #2: [63, 3, 51] from Operation: 27+24=51
Current State: 36:[63, 3, 51], Operations: ['27+24=51']
Exploring Operation: 63-51=12, Resulting Numbers: [3, 12]
Generated Node #3: [3, 12] from Operation: 63-51=12
Current State: 36:[3, 12], Operations: ['27+24=51', '63-51=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
2,
17,
51,
38
] | 70 | [
"2+17=19",
"51+38=89",
"89-19=70"
] | Current State: 70:[2, 17, 51, 38], Operations: []
Exploring Operation: 2+17=19, Resulting Numbers: [51, 38, 19]
Generated Node #2: [51, 38, 19] from Operation: 2+17=19
Current State: 70:[51, 38, 19], Operations: ['2+17=19']
Exploring Operation: 51+38=89, Resulting Numbers: [19, 89]
Generated Node #3: [19, 89] from Operation: 51+38=89
Current State: 70:[19, 89], Operations: ['2+17=19', '51+38=89']
Exploring Operation: 89-19=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
45,
83,
85,
22
] | 69 | [
"83-45=38",
"85+22=107",
"107-38=69"
] | Current State: 69:[45, 83, 85, 22], Operations: []
Exploring Operation: 83-45=38, Resulting Numbers: [85, 22, 38]
Generated Node #2: [85, 22, 38] from Operation: 83-45=38
Current State: 69:[85, 22, 38], Operations: ['83-45=38']
Exploring Operation: 85+22=107, Resulting Numbers: [38, 107]
Generated Node #3: [38, 107] from Operation: 85+22=107
Current State: 69:[38, 107], Operations: ['83-45=38', '85+22=107']
Exploring Operation: 107-38=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
43,
70,
7,
12
] | 65 | [
"43+12=55",
"70/7=10",
"55+10=65"
] | Current State: 65:[43, 70, 7, 12], Operations: []
Exploring Operation: 43+12=55, Resulting Numbers: [70, 7, 55]
Generated Node #2: [70, 7, 55] from Operation: 43+12=55
Current State: 65:[70, 7, 55], Operations: ['43+12=55']
Exploring Operation: 70/7=10, Resulting Numbers: [55, 10]
Generated Node #3: [55, 10] from Operation: 70/7=10
Current State: 65:[55, 10], Operations: ['43+12=55', '70/7=10']
Exploring Operation: 55+10=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
81,
96,
96,
74
] | 74 | [
"96-96=0",
"81*0=0",
"74+0=74"
] | Current State: 74:[81, 96, 96, 74], Operations: []
Exploring Operation: 96-96=0, Resulting Numbers: [81, 74, 0]
Generated Node #2: [81, 74, 0] from Operation: 96-96=0
Current State: 74:[81, 74, 0], Operations: ['96-96=0']
Exploring Operation: 81*0=0, Resulting Numbers: [74, 0]
Generated Node #3: [74, 0] from Operation: 81*0=0
Current State: 74:[74, 0], Operations: ['96-96=0', '81*0=0']
Exploring Operation: 74+0=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
5,
15,
93,
23
] | 53 | [
"23-15=8",
"5*8=40",
"93-40=53"
] | Current State: 53:[5, 15, 93, 23], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [5, 93, 8]
Generated Node #2: [5, 93, 8] from Operation: 23-15=8
Current State: 53:[5, 93, 8], Operations: ['23-15=8']
Exploring Operation: 5*8=40, Resulting Numbers: [93, 40]
Generated Node #3: [93, 40] from Operation: 5*8=40
Current State: 53:[93, 40], Operations: ['23-15=8', '5*8=40']
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
23,
36,
13,
5
] | 86 | [
"23-13=10",
"5*10=50",
"36+50=86"
] | Current State: 86:[23, 36, 13, 5], Operations: []
Exploring Operation: 23-13=10, Resulting Numbers: [36, 5, 10]
Generated Node #2: [36, 5, 10] from Operation: 23-13=10
Current State: 86:[36, 5, 10], Operations: ['23-13=10']
Exploring Operation: 5*10=50, Resulting Numbers: [36, 50]
Generated Node #3: [36, 50] from Operation: 5*10=50
Current State: 86:[36, 50], Operations: ['23-13=10', '5*10=50']
Exploring Operation: 36+50=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
9,
19,
56,
62
] | 34 | [
"9+19=28",
"62-56=6",
"28+6=34"
] | Current State: 34:[9, 19, 56, 62], Operations: []
Exploring Operation: 9+19=28, Resulting Numbers: [56, 62, 28]
Generated Node #2: [56, 62, 28] from Operation: 9+19=28
Current State: 34:[56, 62, 28], Operations: ['9+19=28']
Exploring Operation: 62-56=6, Resulting Numbers: [28, 6]
Generated Node #3: [28, 6] from Operation: 62-56=6
Current State: 34:[28, 6], Operations: ['9+19=28', '62-56=6']
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
20,
8,
31,
67
] | 62 | [
"20*8=160",
"31+67=98",
"160-98=62"
] | Current State: 62:[20, 8, 31, 67], Operations: []
Exploring Operation: 20*8=160, Resulting Numbers: [31, 67, 160]
Generated Node #2: [31, 67, 160] from Operation: 20*8=160
Current State: 62:[31, 67, 160], Operations: ['20*8=160']
Exploring Operation: 31+67=98, Resulting Numbers: [160, 98]
Generated Node #3: [160, 98] from Operation: 31+67=98
Current State: 62:[160, 98], Operations: ['20*8=160', '31+67=98']
Exploring Operation: 160-98=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
29,
30,
19,
12
] | 36 | [
"29-19=10",
"30*12=360",
"360/10=36"
] | Current State: 36:[29, 30, 19, 12], Operations: []
Exploring Operation: 29-19=10, Resulting Numbers: [30, 12, 10]
Generated Node #2: [30, 12, 10] from Operation: 29-19=10
Current State: 36:[30, 12, 10], Operations: ['29-19=10']
Exploring Operation: 30*12=360, Resulting Numbers: [10, 360]
Generated Node #3: [10, 360] from Operation: 30*12=360
Current State: 36:[10, 360], Operations: ['29-19=10', '30*12=360']
Exploring Operation: 360/10=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
24,
45,
82,
10
] | 48 | [
"82-10=72",
"72/24=3",
"45+3=48"
] | Current State: 48:[24, 45, 82, 10], Operations: []
Exploring Operation: 82-10=72, Resulting Numbers: [24, 45, 72]
Generated Node #2: [24, 45, 72] from Operation: 82-10=72
Current State: 48:[24, 45, 72], Operations: ['82-10=72']
Exploring Operation: 72/24=3, Resulting Numbers: [45, 3]
Generated Node #3: [45, 3] from Operation: 72/24=3
Current State: 48:[45, 3], Operations: ['82-10=72', '72/24=3']
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
59,
29,
7,
42
] | 39 | [
"59+29=88",
"7+42=49",
"88-49=39"
] | Current State: 39:[59, 29, 7, 42], Operations: []
Exploring Operation: 59+29=88, Resulting Numbers: [7, 42, 88]
Generated Node #2: [7, 42, 88] from Operation: 59+29=88
Current State: 39:[7, 42, 88], Operations: ['59+29=88']
Exploring Operation: 7+42=49, Resulting Numbers: [88, 49]
Generated Node #3: [88, 49] from Operation: 7+42=49
Current State: 39:[88, 49], Operations: ['59+29=88', '7+42=49']
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
21,
32,
64,
82
] | 71 | [
"21+32=53",
"82-64=18",
"53+18=71"
] | Current State: 71:[21, 32, 64, 82], Operations: []
Exploring Operation: 21+32=53, Resulting Numbers: [64, 82, 53]
Generated Node #2: [64, 82, 53] from Operation: 21+32=53
Current State: 71:[64, 82, 53], Operations: ['21+32=53']
Exploring Operation: 82-64=18, Resulting Numbers: [53, 18]
Generated Node #3: [53, 18] from Operation: 82-64=18
Current State: 71:[53, 18], Operations: ['21+32=53', '82-64=18']
Exploring Operation: 53+18=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
61,
24,
30,
6
] | 73 | [
"61-24=37",
"30+6=36",
"37+36=73"
] | Current State: 73:[61, 24, 30, 6], Operations: []
Exploring Operation: 61-24=37, Resulting Numbers: [30, 6, 37]
Generated Node #2: [30, 6, 37] from Operation: 61-24=37
Current State: 73:[30, 6, 37], Operations: ['61-24=37']
Exploring Operation: 30+6=36, Resulting Numbers: [37, 36]
Generated Node #3: [37, 36] from Operation: 30+6=36
Current State: 73:[37, 36], Operations: ['61-24=37', '30+6=36']
Exploring Operation: 37+36=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
82,
6,
87,
14
] | 79 | [
"87-82=5",
"6*14=84",
"84-5=79"
] | Current State: 79:[82, 6, 87, 14], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [6, 14, 5]
Generated Node #2: [6, 14, 5] from Operation: 87-82=5
Current State: 79:[6, 14, 5], Operations: ['87-82=5']
Exploring Operation: 6*14=84, Resulting Numbers: [5, 84]
Generated Node #3: [5, 84] from Operation: 6*14=84
Current State: 79:[5, 84], Operations: ['87-82=5', '6*14=84']
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
21,
45,
67,
26
] | 58 | [
"26-21=5",
"45/5=9",
"67-9=58"
] | Current State: 58:[21, 45, 67, 26], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [45, 67, 5]
Generated Node #2: [45, 67, 5] from Operation: 26-21=5
Current State: 58:[45, 67, 5], Operations: ['26-21=5']
Exploring Operation: 45/5=9, Resulting Numbers: [67, 9]
Generated Node #3: [67, 9] from Operation: 45/5=9
Current State: 58:[67, 9], Operations: ['26-21=5', '45/5=9']
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
46,
8,
9,
91
] | 62 | [
"46-8=38",
"9+91=100",
"100-38=62"
] | Current State: 62:[46, 8, 9, 91], Operations: []
Exploring Operation: 46-8=38, Resulting Numbers: [9, 91, 38]
Generated Node #2: [9, 91, 38] from Operation: 46-8=38
Current State: 62:[9, 91, 38], Operations: ['46-8=38']
Exploring Operation: 9+91=100, Resulting Numbers: [38, 100]
Generated Node #3: [38, 100] from Operation: 9+91=100
Current State: 62:[38, 100], Operations: ['46-8=38', '9+91=100']
Exploring Operation: 100-38=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
98,
96,
10,
94
] | 10 | [
"98+96=194",
"194-94=100",
"100/10=10"
] | Current State: 10:[98, 96, 10, 94], Operations: []
Exploring Operation: 98+96=194, Resulting Numbers: [10, 94, 194]
Generated Node #2: [10, 94, 194] from Operation: 98+96=194
Current State: 10:[10, 94, 194], Operations: ['98+96=194']
Exploring Operation: 194-94=100, Resulting Numbers: [10, 100]
Generated Node #3: [10, 100] from Operation: 194-94=100
Current State: 10:[10, 100], Operations: ['98+96=194', '194-94=100']
Exploring Operation: 100/10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
73,
1,
2,
13
] | 31 | [
"73-13=60",
"60/2=30",
"1+30=31"
] | Current State: 31:[73, 1, 2, 13], Operations: []
Exploring Operation: 73-13=60, Resulting Numbers: [1, 2, 60]
Generated Node #2: [1, 2, 60] from Operation: 73-13=60
Current State: 31:[1, 2, 60], Operations: ['73-13=60']
Exploring Operation: 60/2=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 60/2=30
Current State: 31:[1, 30], Operations: ['73-13=60', '60/2=30']
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
78,
76,
22,
90
] | 66 | [
"78-76=2",
"90-22=68",
"68-2=66"
] | Current State: 66:[78, 76, 22, 90], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [22, 90, 2]
Generated Node #2: [22, 90, 2] from Operation: 78-76=2
Current State: 66:[22, 90, 2], Operations: ['78-76=2']
Exploring Operation: 90-22=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 90-22=68
Current State: 66:[2, 68], Operations: ['78-76=2', '90-22=68']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
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