nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
26,
2,
34,
97
] | 67 | [
"26+34=60",
"60/2=30",
"97-30=67"
] | Current State: 67:[26, 2, 34, 97], Operations: []
Exploring Operation: 26+34=60, Resulting Numbers: [2, 97, 60]
Generated Node #2: [2, 97, 60] from Operation: 26+34=60
Current State: 67:[2, 97, 60], Operations: ['26+34=60']
Exploring Operation: 60/2=30, Resulting Numbers: [97, 30]
Generated Node #3: [97, 30] from Operation: 60/2=30
Current State: 67:[97, 30], Operations: ['26+34=60', '60/2=30']
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
34,
28,
86,
81
] | 11 | [
"34-28=6",
"86-81=5",
"6+5=11"
] | Current State: 11:[34, 28, 86, 81], Operations: []
Exploring Operation: 34-28=6, Resulting Numbers: [86, 81, 6]
Generated Node #2: [86, 81, 6] from Operation: 34-28=6
Current State: 11:[86, 81, 6], Operations: ['34-28=6']
Exploring Operation: 86-81=5, Resulting Numbers: [6, 5]
Generated Node #3: [6, 5] from Operation: 86-81=5
Current State: 11:[6, 5], Operations: ['34-28=6', '86-81=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
71,
33,
95,
24
] | 15 | [
"71+33=104",
"95+24=119",
"119-104=15"
] | Current State: 15:[71, 33, 95, 24], Operations: []
Exploring Operation: 71+33=104, Resulting Numbers: [95, 24, 104]
Generated Node #2: [95, 24, 104] from Operation: 71+33=104
Current State: 15:[95, 24, 104], Operations: ['71+33=104']
Exploring Operation: 95+24=119, Resulting Numbers: [104, 119]
Generated Node #3: [104, 119] from Operation: 95+24=119
Current State: 15:[104, 119], Operations: ['71+33=104', '95+24=119']
Exploring Operation: 119-104=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
92,
46,
94,
7
] | 41 | [
"92-46=46",
"94-7=87",
"87-46=41"
] | Current State: 41:[92, 46, 94, 7], Operations: []
Exploring Operation: 92-46=46, Resulting Numbers: [94, 7, 46]
Generated Node #2: [94, 7, 46] from Operation: 92-46=46
Current State: 41:[94, 7, 46], Operations: ['92-46=46']
Exploring Operation: 94-7=87, Resulting Numbers: [46, 87]
Generated Node #3: [46, 87] from Operation: 94-7=87
Current State: 41:[46, 87], Operations: ['92-46=46', '94-7=87']
Exploring Operation: 87-46=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
47,
9,
16,
23
] | 74 | [
"47+23=70",
"9*16=144",
"144-70=74"
] | Current State: 74:[47, 9, 16, 23], Operations: []
Exploring Operation: 47+23=70, Resulting Numbers: [9, 16, 70]
Generated Node #2: [9, 16, 70] from Operation: 47+23=70
Current State: 74:[9, 16, 70], Operations: ['47+23=70']
Exploring Operation: 9*16=144, Resulting Numbers: [70, 144]
Generated Node #3: [70, 144] from Operation: 9*16=144
Current State: 74:[70, 144], Operations: ['47+23=70', '9*16=144']
Exploring Operation: 144-70=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
93,
55,
73,
43
] | 32 | [
"93+55=148",
"73+43=116",
"148-116=32"
] | Current State: 32:[93, 55, 73, 43], Operations: []
Exploring Operation: 93+55=148, Resulting Numbers: [73, 43, 148]
Generated Node #2: [73, 43, 148] from Operation: 93+55=148
Current State: 32:[73, 43, 148], Operations: ['93+55=148']
Exploring Operation: 73+43=116, Resulting Numbers: [148, 116]
Generated Node #3: [148, 116] from Operation: 73+43=116
Current State: 32:[148, 116], Operations: ['93+55=148', '73+43=116']
Exploring Operation: 148-116=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
10,
65,
91,
2
] | 73 | [
"65-10=55",
"91+55=146",
"146/2=73"
] | Current State: 73:[10, 65, 91, 2], Operations: []
Exploring Operation: 65-10=55, Resulting Numbers: [91, 2, 55]
Generated Node #2: [91, 2, 55] from Operation: 65-10=55
Current State: 73:[91, 2, 55], Operations: ['65-10=55']
Exploring Operation: 91+55=146, Resulting Numbers: [2, 146]
Generated Node #3: [2, 146] from Operation: 91+55=146
Current State: 73:[2, 146], Operations: ['65-10=55', '91+55=146']
Exploring Operation: 146/2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
47,
52,
3,
70
] | 42 | [
"52-47=5",
"3*70=210",
"210/5=42"
] | Current State: 42:[47, 52, 3, 70], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [3, 70, 5]
Generated Node #2: [3, 70, 5] from Operation: 52-47=5
Current State: 42:[3, 70, 5], Operations: ['52-47=5']
Exploring Operation: 3*70=210, Resulting Numbers: [5, 210]
Generated Node #3: [5, 210] from Operation: 3*70=210
Current State: 42:[5, 210], Operations: ['52-47=5', '3*70=210']
Exploring Operation: 210/5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
53,
2,
64,
29
] | 100 | [
"53+29=82",
"2*82=164",
"164-64=100"
] | Current State: 100:[53, 2, 64, 29], Operations: []
Exploring Operation: 53+29=82, Resulting Numbers: [2, 64, 82]
Generated Node #2: [2, 64, 82] from Operation: 53+29=82
Current State: 100:[2, 64, 82], Operations: ['53+29=82']
Exploring Operation: 2*82=164, Resulting Numbers: [64, 164]
Generated Node #3: [64, 164] from Operation: 2*82=164
Current State: 100:[64, 164], Operations: ['53+29=82', '2*82=164']
Exploring Operation: 164-64=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
5,
27,
16,
33
] | 71 | [
"27-5=22",
"16+33=49",
"22+49=71"
] | Current State: 71:[5, 27, 16, 33], Operations: []
Exploring Operation: 27-5=22, Resulting Numbers: [16, 33, 22]
Generated Node #2: [16, 33, 22] from Operation: 27-5=22
Current State: 71:[16, 33, 22], Operations: ['27-5=22']
Exploring Operation: 16+33=49, Resulting Numbers: [22, 49]
Generated Node #3: [22, 49] from Operation: 16+33=49
Current State: 71:[22, 49], Operations: ['27-5=22', '16+33=49']
Exploring Operation: 22+49=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
18,
91,
35,
67
] | 60 | [
"91+35=126",
"126/18=7",
"67-7=60"
] | Current State: 60:[18, 91, 35, 67], Operations: []
Exploring Operation: 91+35=126, Resulting Numbers: [18, 67, 126]
Generated Node #2: [18, 67, 126] from Operation: 91+35=126
Current State: 60:[18, 67, 126], Operations: ['91+35=126']
Exploring Operation: 126/18=7, Resulting Numbers: [67, 7]
Generated Node #3: [67, 7] from Operation: 126/18=7
Current State: 60:[67, 7], Operations: ['91+35=126', '126/18=7']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
54,
6,
52,
40
] | 28 | [
"54-52=2",
"6*2=12",
"40-12=28"
] | Current State: 28:[54, 6, 52, 40], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [6, 40, 2]
Generated Node #2: [6, 40, 2] from Operation: 54-52=2
Current State: 28:[6, 40, 2], Operations: ['54-52=2']
Exploring Operation: 6*2=12, Resulting Numbers: [40, 12]
Generated Node #3: [40, 12] from Operation: 6*2=12
Current State: 28:[40, 12], Operations: ['54-52=2', '6*2=12']
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
26,
95,
88,
87
] | 95 | [
"95-88=7",
"26*7=182",
"182-87=95"
] | Current State: 95:[26, 95, 88, 87], Operations: []
Exploring Operation: 95-88=7, Resulting Numbers: [26, 87, 7]
Generated Node #2: [26, 87, 7] from Operation: 95-88=7
Current State: 95:[26, 87, 7], Operations: ['95-88=7']
Exploring Operation: 26*7=182, Resulting Numbers: [87, 182]
Generated Node #3: [87, 182] from Operation: 26*7=182
Current State: 95:[87, 182], Operations: ['95-88=7', '26*7=182']
Exploring Operation: 182-87=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
57,
41,
58,
32
] | 10 | [
"57-41=16",
"58-32=26",
"26-16=10"
] | Current State: 10:[57, 41, 58, 32], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [58, 32, 16]
Generated Node #2: [58, 32, 16] from Operation: 57-41=16
Current State: 10:[58, 32, 16], Operations: ['57-41=16']
Exploring Operation: 58-32=26, Resulting Numbers: [16, 26]
Generated Node #3: [16, 26] from Operation: 58-32=26
Current State: 10:[16, 26], Operations: ['57-41=16', '58-32=26']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
20,
2,
44,
94
] | 68 | [
"20-2=18",
"94-44=50",
"18+50=68"
] | Current State: 68:[20, 2, 44, 94], Operations: []
Exploring Operation: 20-2=18, Resulting Numbers: [44, 94, 18]
Generated Node #2: [44, 94, 18] from Operation: 20-2=18
Current State: 68:[44, 94, 18], Operations: ['20-2=18']
Exploring Operation: 94-44=50, Resulting Numbers: [18, 50]
Generated Node #3: [18, 50] from Operation: 94-44=50
Current State: 68:[18, 50], Operations: ['20-2=18', '94-44=50']
Exploring Operation: 18+50=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
73,
1,
33,
69
] | 38 | [
"73+1=74",
"69-33=36",
"74-36=38"
] | Current State: 38:[73, 1, 33, 69], Operations: []
Exploring Operation: 73+1=74, Resulting Numbers: [33, 69, 74]
Generated Node #2: [33, 69, 74] from Operation: 73+1=74
Current State: 38:[33, 69, 74], Operations: ['73+1=74']
Exploring Operation: 69-33=36, Resulting Numbers: [74, 36]
Generated Node #3: [74, 36] from Operation: 69-33=36
Current State: 38:[74, 36], Operations: ['73+1=74', '69-33=36']
Exploring Operation: 74-36=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
5,
1,
28,
88
] | 13 | [
"88-28=60",
"60/5=12",
"1+12=13"
] | Current State: 13:[5, 1, 28, 88], Operations: []
Exploring Operation: 88-28=60, Resulting Numbers: [5, 1, 60]
Generated Node #2: [5, 1, 60] from Operation: 88-28=60
Current State: 13:[5, 1, 60], Operations: ['88-28=60']
Exploring Operation: 60/5=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 60/5=12
Current State: 13:[1, 12], Operations: ['88-28=60', '60/5=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
64,
35,
76,
24
] | 47 | [
"64+35=99",
"76-24=52",
"99-52=47"
] | Current State: 47:[64, 35, 76, 24], Operations: []
Exploring Operation: 64+35=99, Resulting Numbers: [76, 24, 99]
Generated Node #2: [76, 24, 99] from Operation: 64+35=99
Current State: 47:[76, 24, 99], Operations: ['64+35=99']
Exploring Operation: 76-24=52, Resulting Numbers: [99, 52]
Generated Node #3: [99, 52] from Operation: 76-24=52
Current State: 47:[99, 52], Operations: ['64+35=99', '76-24=52']
Exploring Operation: 99-52=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
34,
38,
24,
60
] | 47 | [
"34*60=2040",
"2040/24=85",
"85-38=47"
] | Current State: 47:[34, 38, 24, 60], Operations: []
Exploring Operation: 34*60=2040, Resulting Numbers: [38, 24, 2040]
Generated Node #2: [38, 24, 2040] from Operation: 34*60=2040
Current State: 47:[38, 24, 2040], Operations: ['34*60=2040']
Exploring Operation: 2040/24=85, Resulting Numbers: [38, 85]
Generated Node #3: [38, 85] from Operation: 2040/24=85
Current State: 47:[38, 85], Operations: ['34*60=2040', '2040/24=85']
Exploring Operation: 85-38=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
22,
3,
31,
47
] | 62 | [
"47-3=44",
"44/22=2",
"31*2=62"
] | Current State: 62:[22, 3, 31, 47], Operations: []
Exploring Operation: 47-3=44, Resulting Numbers: [22, 31, 44]
Generated Node #2: [22, 31, 44] from Operation: 47-3=44
Current State: 62:[22, 31, 44], Operations: ['47-3=44']
Exploring Operation: 44/22=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 44/22=2
Current State: 62:[31, 2], Operations: ['47-3=44', '44/22=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
2,
3,
92,
84
] | 80 | [
"3*84=252",
"252-92=160",
"160/2=80"
] | Current State: 80:[2, 3, 92, 84], Operations: []
Exploring Operation: 3*84=252, Resulting Numbers: [2, 92, 252]
Generated Node #2: [2, 92, 252] from Operation: 3*84=252
Current State: 80:[2, 92, 252], Operations: ['3*84=252']
Exploring Operation: 252-92=160, Resulting Numbers: [2, 160]
Generated Node #3: [2, 160] from Operation: 252-92=160
Current State: 80:[2, 160], Operations: ['3*84=252', '252-92=160']
Exploring Operation: 160/2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
19,
41,
63,
49
] | 47 | [
"19+63=82",
"82/41=2",
"49-2=47"
] | Current State: 47:[19, 41, 63, 49], Operations: []
Exploring Operation: 19+63=82, Resulting Numbers: [41, 49, 82]
Generated Node #2: [41, 49, 82] from Operation: 19+63=82
Current State: 47:[41, 49, 82], Operations: ['19+63=82']
Exploring Operation: 82/41=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 82/41=2
Current State: 47:[49, 2], Operations: ['19+63=82', '82/41=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
85,
70,
55,
66
] | 68 | [
"85+55=140",
"140/70=2",
"66+2=68"
] | Current State: 68:[85, 70, 55, 66], Operations: []
Exploring Operation: 85+55=140, Resulting Numbers: [70, 66, 140]
Generated Node #2: [70, 66, 140] from Operation: 85+55=140
Current State: 68:[70, 66, 140], Operations: ['85+55=140']
Exploring Operation: 140/70=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 140/70=2
Current State: 68:[66, 2], Operations: ['85+55=140', '140/70=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
23,
83,
44,
15
] | 11 | [
"83-23=60",
"44*15=660",
"660/60=11"
] | Current State: 11:[23, 83, 44, 15], Operations: []
Exploring Operation: 83-23=60, Resulting Numbers: [44, 15, 60]
Generated Node #2: [44, 15, 60] from Operation: 83-23=60
Current State: 11:[44, 15, 60], Operations: ['83-23=60']
Exploring Operation: 44*15=660, Resulting Numbers: [60, 660]
Generated Node #3: [60, 660] from Operation: 44*15=660
Current State: 11:[60, 660], Operations: ['83-23=60', '44*15=660']
Exploring Operation: 660/60=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
86,
66,
60,
64
] | 80 | [
"86-66=20",
"64-60=4",
"20*4=80"
] | Current State: 80:[86, 66, 60, 64], Operations: []
Exploring Operation: 86-66=20, Resulting Numbers: [60, 64, 20]
Generated Node #2: [60, 64, 20] from Operation: 86-66=20
Current State: 80:[60, 64, 20], Operations: ['86-66=20']
Exploring Operation: 64-60=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 64-60=4
Current State: 80:[20, 4], Operations: ['86-66=20', '64-60=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
97,
78,
2,
49
] | 66 | [
"97-78=19",
"49-2=47",
"19+47=66"
] | Current State: 66:[97, 78, 2, 49], Operations: []
Exploring Operation: 97-78=19, Resulting Numbers: [2, 49, 19]
Generated Node #2: [2, 49, 19] from Operation: 97-78=19
Current State: 66:[2, 49, 19], Operations: ['97-78=19']
Exploring Operation: 49-2=47, Resulting Numbers: [19, 47]
Generated Node #3: [19, 47] from Operation: 49-2=47
Current State: 66:[19, 47], Operations: ['97-78=19', '49-2=47']
Exploring Operation: 19+47=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
48,
83,
12,
2
] | 47 | [
"48/2=24",
"83-12=71",
"71-24=47"
] | Current State: 47:[48, 83, 12, 2], Operations: []
Exploring Operation: 48/2=24, Resulting Numbers: [83, 12, 24]
Generated Node #2: [83, 12, 24] from Operation: 48/2=24
Current State: 47:[83, 12, 24], Operations: ['48/2=24']
Exploring Operation: 83-12=71, Resulting Numbers: [24, 71]
Generated Node #3: [24, 71] from Operation: 83-12=71
Current State: 47:[24, 71], Operations: ['48/2=24', '83-12=71']
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
47,
42,
16,
22
] | 43 | [
"47-42=5",
"16+22=38",
"5+38=43"
] | Current State: 43:[47, 42, 16, 22], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [16, 22, 5]
Generated Node #2: [16, 22, 5] from Operation: 47-42=5
Current State: 43:[16, 22, 5], Operations: ['47-42=5']
Exploring Operation: 16+22=38, Resulting Numbers: [5, 38]
Generated Node #3: [5, 38] from Operation: 16+22=38
Current State: 43:[5, 38], Operations: ['47-42=5', '16+22=38']
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
2,
76,
28,
78
] | 49 | [
"76+78=154",
"154/2=77",
"77-28=49"
] | Current State: 49:[2, 76, 28, 78], Operations: []
Exploring Operation: 76+78=154, Resulting Numbers: [2, 28, 154]
Generated Node #2: [2, 28, 154] from Operation: 76+78=154
Current State: 49:[2, 28, 154], Operations: ['76+78=154']
Exploring Operation: 154/2=77, Resulting Numbers: [28, 77]
Generated Node #3: [28, 77] from Operation: 154/2=77
Current State: 49:[28, 77], Operations: ['76+78=154', '154/2=77']
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
48,
48,
6,
26
] | 30 | [
"48/6=8",
"48-26=22",
"8+22=30"
] | Current State: 30:[48, 48, 6, 26], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [26, 8]
Generated Node #2: [26, 8] from Operation: 48/6=8
Current State: 30:[26, 8], Operations: ['48/6=8']
Exploring Operation: 48-26=22, Resulting Numbers: [8, 22]
Generated Node #3: [8, 22] from Operation: 48-26=22
Current State: 30:[8, 22], Operations: ['48/6=8', '48-26=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
59,
12,
6,
27
] | 30 | [
"59*6=354",
"12*27=324",
"354-324=30"
] | Current State: 30:[59, 12, 6, 27], Operations: []
Exploring Operation: 59*6=354, Resulting Numbers: [12, 27, 354]
Generated Node #2: [12, 27, 354] from Operation: 59*6=354
Current State: 30:[12, 27, 354], Operations: ['59*6=354']
Exploring Operation: 12*27=324, Resulting Numbers: [354, 324]
Generated Node #3: [354, 324] from Operation: 12*27=324
Current State: 30:[354, 324], Operations: ['59*6=354', '12*27=324']
Exploring Operation: 354-324=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
66,
50,
34,
64
] | 42 | [
"66-64=2",
"50+34=84",
"84/2=42"
] | Current State: 42:[66, 50, 34, 64], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [50, 34, 2]
Generated Node #2: [50, 34, 2] from Operation: 66-64=2
Current State: 42:[50, 34, 2], Operations: ['66-64=2']
Exploring Operation: 50+34=84, Resulting Numbers: [2, 84]
Generated Node #3: [2, 84] from Operation: 50+34=84
Current State: 42:[2, 84], Operations: ['66-64=2', '50+34=84']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
74,
19,
69,
79
] | 55 | [
"74+19=93",
"69+79=148",
"148-93=55"
] | Current State: 55:[74, 19, 69, 79], Operations: []
Exploring Operation: 74+19=93, Resulting Numbers: [69, 79, 93]
Generated Node #2: [69, 79, 93] from Operation: 74+19=93
Current State: 55:[69, 79, 93], Operations: ['74+19=93']
Exploring Operation: 69+79=148, Resulting Numbers: [93, 148]
Generated Node #3: [93, 148] from Operation: 69+79=148
Current State: 55:[93, 148], Operations: ['74+19=93', '69+79=148']
Exploring Operation: 148-93=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
24,
12,
74,
49
] | 10 | [
"24+74=98",
"98/49=2",
"12-2=10"
] | Current State: 10:[24, 12, 74, 49], Operations: []
Exploring Operation: 24+74=98, Resulting Numbers: [12, 49, 98]
Generated Node #2: [12, 49, 98] from Operation: 24+74=98
Current State: 10:[12, 49, 98], Operations: ['24+74=98']
Exploring Operation: 98/49=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 98/49=2
Current State: 10:[12, 2], Operations: ['24+74=98', '98/49=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
13,
99,
90,
39
] | 27 | [
"39/13=3",
"99-90=9",
"3*9=27"
] | Current State: 27:[13, 99, 90, 39], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [99, 90, 3]
Generated Node #2: [99, 90, 3] from Operation: 39/13=3
Current State: 27:[99, 90, 3], Operations: ['39/13=3']
Exploring Operation: 99-90=9, Resulting Numbers: [3, 9]
Generated Node #3: [3, 9] from Operation: 99-90=9
Current State: 27:[3, 9], Operations: ['39/13=3', '99-90=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
57,
19,
99,
37
] | 60 | [
"57+19=76",
"99+37=136",
"136-76=60"
] | Current State: 60:[57, 19, 99, 37], Operations: []
Exploring Operation: 57+19=76, Resulting Numbers: [99, 37, 76]
Generated Node #2: [99, 37, 76] from Operation: 57+19=76
Current State: 60:[99, 37, 76], Operations: ['57+19=76']
Exploring Operation: 99+37=136, Resulting Numbers: [76, 136]
Generated Node #3: [76, 136] from Operation: 99+37=136
Current State: 60:[76, 136], Operations: ['57+19=76', '99+37=136']
Exploring Operation: 136-76=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
81,
7,
86,
83
] | 48 | [
"86-81=5",
"7*5=35",
"83-35=48"
] | Current State: 48:[81, 7, 86, 83], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [7, 83, 5]
Generated Node #2: [7, 83, 5] from Operation: 86-81=5
Current State: 48:[7, 83, 5], Operations: ['86-81=5']
Exploring Operation: 7*5=35, Resulting Numbers: [83, 35]
Generated Node #3: [83, 35] from Operation: 7*5=35
Current State: 48:[83, 35], Operations: ['86-81=5', '7*5=35']
Exploring Operation: 83-35=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
86,
99,
71,
99
] | 86 | [
"99-99=0",
"71*0=0",
"86+0=86"
] | Current State: 86:[86, 99, 71, 99], Operations: []
Exploring Operation: 99-99=0, Resulting Numbers: [86, 71, 0]
Generated Node #2: [86, 71, 0] from Operation: 99-99=0
Current State: 86:[86, 71, 0], Operations: ['99-99=0']
Exploring Operation: 71*0=0, Resulting Numbers: [86, 0]
Generated Node #3: [86, 0] from Operation: 71*0=0
Current State: 86:[86, 0], Operations: ['99-99=0', '71*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
86,
5,
54,
48
] | 16 | [
"86-54=32",
"48+32=80",
"80/5=16"
] | Current State: 16:[86, 5, 54, 48], Operations: []
Exploring Operation: 86-54=32, Resulting Numbers: [5, 48, 32]
Generated Node #2: [5, 48, 32] from Operation: 86-54=32
Current State: 16:[5, 48, 32], Operations: ['86-54=32']
Exploring Operation: 48+32=80, Resulting Numbers: [5, 80]
Generated Node #3: [5, 80] from Operation: 48+32=80
Current State: 16:[5, 80], Operations: ['86-54=32', '48+32=80']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
56,
13,
28,
10
] | 46 | [
"56+28=84",
"13*10=130",
"130-84=46"
] | Current State: 46:[56, 13, 28, 10], Operations: []
Exploring Operation: 56+28=84, Resulting Numbers: [13, 10, 84]
Generated Node #2: [13, 10, 84] from Operation: 56+28=84
Current State: 46:[13, 10, 84], Operations: ['56+28=84']
Exploring Operation: 13*10=130, Resulting Numbers: [84, 130]
Generated Node #3: [84, 130] from Operation: 13*10=130
Current State: 46:[84, 130], Operations: ['56+28=84', '13*10=130']
Exploring Operation: 130-84=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
30,
37,
97,
60
] | 67 | [
"60/30=2",
"37+97=134",
"134/2=67"
] | Current State: 67:[30, 37, 97, 60], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [37, 97, 2]
Generated Node #2: [37, 97, 2] from Operation: 60/30=2
Current State: 67:[37, 97, 2], Operations: ['60/30=2']
Exploring Operation: 37+97=134, Resulting Numbers: [2, 134]
Generated Node #3: [2, 134] from Operation: 37+97=134
Current State: 67:[2, 134], Operations: ['60/30=2', '37+97=134']
Exploring Operation: 134/2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
70,
17,
15,
45
] | 57 | [
"70+17=87",
"45-15=30",
"87-30=57"
] | Current State: 57:[70, 17, 15, 45], Operations: []
Exploring Operation: 70+17=87, Resulting Numbers: [15, 45, 87]
Generated Node #2: [15, 45, 87] from Operation: 70+17=87
Current State: 57:[15, 45, 87], Operations: ['70+17=87']
Exploring Operation: 45-15=30, Resulting Numbers: [87, 30]
Generated Node #3: [87, 30] from Operation: 45-15=30
Current State: 57:[87, 30], Operations: ['70+17=87', '45-15=30']
Exploring Operation: 87-30=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
81,
3,
33,
96
] | 27 | [
"81*33=2673",
"3+96=99",
"2673/99=27"
] | Current State: 27:[81, 3, 33, 96], Operations: []
Exploring Operation: 81*33=2673, Resulting Numbers: [3, 96, 2673]
Generated Node #2: [3, 96, 2673] from Operation: 81*33=2673
Current State: 27:[3, 96, 2673], Operations: ['81*33=2673']
Exploring Operation: 3+96=99, Resulting Numbers: [2673, 99]
Generated Node #3: [2673, 99] from Operation: 3+96=99
Current State: 27:[2673, 99], Operations: ['81*33=2673', '3+96=99']
Exploring Operation: 2673/99=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
2,
25,
5,
85
] | 60 | [
"25+85=110",
"110/2=55",
"5+55=60"
] | Current State: 60:[2, 25, 5, 85], Operations: []
Exploring Operation: 25+85=110, Resulting Numbers: [2, 5, 110]
Generated Node #2: [2, 5, 110] from Operation: 25+85=110
Current State: 60:[2, 5, 110], Operations: ['25+85=110']
Exploring Operation: 110/2=55, Resulting Numbers: [5, 55]
Generated Node #3: [5, 55] from Operation: 110/2=55
Current State: 60:[5, 55], Operations: ['25+85=110', '110/2=55']
Exploring Operation: 5+55=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
2,
26,
65,
83
] | 34 | [
"2*26=52",
"83-65=18",
"52-18=34"
] | Current State: 34:[2, 26, 65, 83], Operations: []
Exploring Operation: 2*26=52, Resulting Numbers: [65, 83, 52]
Generated Node #2: [65, 83, 52] from Operation: 2*26=52
Current State: 34:[65, 83, 52], Operations: ['2*26=52']
Exploring Operation: 83-65=18, Resulting Numbers: [52, 18]
Generated Node #3: [52, 18] from Operation: 83-65=18
Current State: 34:[52, 18], Operations: ['2*26=52', '83-65=18']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
48,
49,
2,
96
] | 73 | [
"96-48=48",
"48/2=24",
"49+24=73"
] | Current State: 73:[48, 49, 2, 96], Operations: []
Exploring Operation: 96-48=48, Resulting Numbers: [49, 2, 48]
Generated Node #2: [49, 2, 48] from Operation: 96-48=48
Current State: 73:[49, 2, 48], Operations: ['96-48=48']
Exploring Operation: 48/2=24, Resulting Numbers: [49, 24]
Generated Node #3: [49, 24] from Operation: 48/2=24
Current State: 73:[49, 24], Operations: ['96-48=48', '48/2=24']
Exploring Operation: 49+24=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
24,
57,
50,
87
] | 40 | [
"24*50=1200",
"87-57=30",
"1200/30=40"
] | Current State: 40:[24, 57, 50, 87], Operations: []
Exploring Operation: 24*50=1200, Resulting Numbers: [57, 87, 1200]
Generated Node #2: [57, 87, 1200] from Operation: 24*50=1200
Current State: 40:[57, 87, 1200], Operations: ['24*50=1200']
Exploring Operation: 87-57=30, Resulting Numbers: [1200, 30]
Generated Node #3: [1200, 30] from Operation: 87-57=30
Current State: 40:[1200, 30], Operations: ['24*50=1200', '87-57=30']
Exploring Operation: 1200/30=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
41,
43,
4,
21
] | 67 | [
"41+43=84",
"21-4=17",
"84-17=67"
] | Current State: 67:[41, 43, 4, 21], Operations: []
Exploring Operation: 41+43=84, Resulting Numbers: [4, 21, 84]
Generated Node #2: [4, 21, 84] from Operation: 41+43=84
Current State: 67:[4, 21, 84], Operations: ['41+43=84']
Exploring Operation: 21-4=17, Resulting Numbers: [84, 17]
Generated Node #3: [84, 17] from Operation: 21-4=17
Current State: 67:[84, 17], Operations: ['41+43=84', '21-4=17']
Exploring Operation: 84-17=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
46,
67,
8,
63
] | 78 | [
"67-63=4",
"8*4=32",
"46+32=78"
] | Current State: 78:[46, 67, 8, 63], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [46, 8, 4]
Generated Node #2: [46, 8, 4] from Operation: 67-63=4
Current State: 78:[46, 8, 4], Operations: ['67-63=4']
Exploring Operation: 8*4=32, Resulting Numbers: [46, 32]
Generated Node #3: [46, 32] from Operation: 8*4=32
Current State: 78:[46, 32], Operations: ['67-63=4', '8*4=32']
Exploring Operation: 46+32=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
80,
42,
22,
16
] | 87 | [
"22-16=6",
"42/6=7",
"80+7=87"
] | Current State: 87:[80, 42, 22, 16], Operations: []
Exploring Operation: 22-16=6, Resulting Numbers: [80, 42, 6]
Generated Node #2: [80, 42, 6] from Operation: 22-16=6
Current State: 87:[80, 42, 6], Operations: ['22-16=6']
Exploring Operation: 42/6=7, Resulting Numbers: [80, 7]
Generated Node #3: [80, 7] from Operation: 42/6=7
Current State: 87:[80, 7], Operations: ['22-16=6', '42/6=7']
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
5,
57,
20,
58
] | 99 | [
"5*20=100",
"58-57=1",
"100-1=99"
] | Current State: 99:[5, 57, 20, 58], Operations: []
Exploring Operation: 5*20=100, Resulting Numbers: [57, 58, 100]
Generated Node #2: [57, 58, 100] from Operation: 5*20=100
Current State: 99:[57, 58, 100], Operations: ['5*20=100']
Exploring Operation: 58-57=1, Resulting Numbers: [100, 1]
Generated Node #3: [100, 1] from Operation: 58-57=1
Current State: 99:[100, 1], Operations: ['5*20=100', '58-57=1']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
12,
69,
5,
36
] | 45 | [
"12*5=60",
"69+36=105",
"105-60=45"
] | Current State: 45:[12, 69, 5, 36], Operations: []
Exploring Operation: 12*5=60, Resulting Numbers: [69, 36, 60]
Generated Node #2: [69, 36, 60] from Operation: 12*5=60
Current State: 45:[69, 36, 60], Operations: ['12*5=60']
Exploring Operation: 69+36=105, Resulting Numbers: [60, 105]
Generated Node #3: [60, 105] from Operation: 69+36=105
Current State: 45:[60, 105], Operations: ['12*5=60', '69+36=105']
Exploring Operation: 105-60=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
15,
28,
91,
14
] | 61 | [
"15*28=420",
"420/14=30",
"91-30=61"
] | Current State: 61:[15, 28, 91, 14], Operations: []
Exploring Operation: 15*28=420, Resulting Numbers: [91, 14, 420]
Generated Node #2: [91, 14, 420] from Operation: 15*28=420
Current State: 61:[91, 14, 420], Operations: ['15*28=420']
Exploring Operation: 420/14=30, Resulting Numbers: [91, 30]
Generated Node #3: [91, 30] from Operation: 420/14=30
Current State: 61:[91, 30], Operations: ['15*28=420', '420/14=30']
Exploring Operation: 91-30=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
68,
54,
3,
76
] | 57 | [
"54-3=51",
"76*51=3876",
"3876/68=57"
] | Current State: 57:[68, 54, 3, 76], Operations: []
Exploring Operation: 54-3=51, Resulting Numbers: [68, 76, 51]
Generated Node #2: [68, 76, 51] from Operation: 54-3=51
Current State: 57:[68, 76, 51], Operations: ['54-3=51']
Exploring Operation: 76*51=3876, Resulting Numbers: [68, 3876]
Generated Node #3: [68, 3876] from Operation: 76*51=3876
Current State: 57:[68, 3876], Operations: ['54-3=51', '76*51=3876']
Exploring Operation: 3876/68=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
63,
47,
34,
7
] | 69 | [
"63+47=110",
"34+7=41",
"110-41=69"
] | Current State: 69:[63, 47, 34, 7], Operations: []
Exploring Operation: 63+47=110, Resulting Numbers: [34, 7, 110]
Generated Node #2: [34, 7, 110] from Operation: 63+47=110
Current State: 69:[34, 7, 110], Operations: ['63+47=110']
Exploring Operation: 34+7=41, Resulting Numbers: [110, 41]
Generated Node #3: [110, 41] from Operation: 34+7=41
Current State: 69:[110, 41], Operations: ['63+47=110', '34+7=41']
Exploring Operation: 110-41=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
91,
28,
30,
88
] | 94 | [
"30-28=2",
"91*2=182",
"182-88=94"
] | Current State: 94:[91, 28, 30, 88], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [91, 88, 2]
Generated Node #2: [91, 88, 2] from Operation: 30-28=2
Current State: 94:[91, 88, 2], Operations: ['30-28=2']
Exploring Operation: 91*2=182, Resulting Numbers: [88, 182]
Generated Node #3: [88, 182] from Operation: 91*2=182
Current State: 94:[88, 182], Operations: ['30-28=2', '91*2=182']
Exploring Operation: 182-88=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
84,
62,
68,
53
] | 25 | [
"84+62=146",
"68+53=121",
"146-121=25"
] | Current State: 25:[84, 62, 68, 53], Operations: []
Exploring Operation: 84+62=146, Resulting Numbers: [68, 53, 146]
Generated Node #2: [68, 53, 146] from Operation: 84+62=146
Current State: 25:[68, 53, 146], Operations: ['84+62=146']
Exploring Operation: 68+53=121, Resulting Numbers: [146, 121]
Generated Node #3: [146, 121] from Operation: 68+53=121
Current State: 25:[146, 121], Operations: ['84+62=146', '68+53=121']
Exploring Operation: 146-121=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
19,
6,
76,
75
] | 85 | [
"76/19=4",
"6+75=81",
"4+81=85"
] | Current State: 85:[19, 6, 76, 75], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [6, 75, 4]
Generated Node #2: [6, 75, 4] from Operation: 76/19=4
Current State: 85:[6, 75, 4], Operations: ['76/19=4']
Exploring Operation: 6+75=81, Resulting Numbers: [4, 81]
Generated Node #3: [4, 81] from Operation: 6+75=81
Current State: 85:[4, 81], Operations: ['76/19=4', '6+75=81']
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
96,
28,
22,
44
] | 20 | [
"96*22=2112",
"2112/44=48",
"48-28=20"
] | Current State: 20:[96, 28, 22, 44], Operations: []
Exploring Operation: 96*22=2112, Resulting Numbers: [28, 44, 2112]
Generated Node #2: [28, 44, 2112] from Operation: 96*22=2112
Current State: 20:[28, 44, 2112], Operations: ['96*22=2112']
Exploring Operation: 2112/44=48, Resulting Numbers: [28, 48]
Generated Node #3: [28, 48] from Operation: 2112/44=48
Current State: 20:[28, 48], Operations: ['96*22=2112', '2112/44=48']
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
58,
62,
2,
77
] | 100 | [
"77-58=19",
"2*19=38",
"62+38=100"
] | Current State: 100:[58, 62, 2, 77], Operations: []
Exploring Operation: 77-58=19, Resulting Numbers: [62, 2, 19]
Generated Node #2: [62, 2, 19] from Operation: 77-58=19
Current State: 100:[62, 2, 19], Operations: ['77-58=19']
Exploring Operation: 2*19=38, Resulting Numbers: [62, 38]
Generated Node #3: [62, 38] from Operation: 2*19=38
Current State: 100:[62, 38], Operations: ['77-58=19', '2*19=38']
Exploring Operation: 62+38=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
93,
67,
69,
99
] | 87 | [
"69-67=2",
"93*2=186",
"186-99=87"
] | Current State: 87:[93, 67, 69, 99], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [93, 99, 2]
Generated Node #2: [93, 99, 2] from Operation: 69-67=2
Current State: 87:[93, 99, 2], Operations: ['69-67=2']
Exploring Operation: 93*2=186, Resulting Numbers: [99, 186]
Generated Node #3: [99, 186] from Operation: 93*2=186
Current State: 87:[99, 186], Operations: ['69-67=2', '93*2=186']
Exploring Operation: 186-99=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
81,
95,
94,
47
] | 28 | [
"95-81=14",
"94/47=2",
"14*2=28"
] | Current State: 28:[81, 95, 94, 47], Operations: []
Exploring Operation: 95-81=14, Resulting Numbers: [94, 47, 14]
Generated Node #2: [94, 47, 14] from Operation: 95-81=14
Current State: 28:[94, 47, 14], Operations: ['95-81=14']
Exploring Operation: 94/47=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 94/47=2
Current State: 28:[14, 2], Operations: ['95-81=14', '94/47=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
12,
24,
80,
36
] | 22 | [
"24/12=2",
"80-36=44",
"44/2=22"
] | Current State: 22:[12, 24, 80, 36], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [80, 36, 2]
Generated Node #2: [80, 36, 2] from Operation: 24/12=2
Current State: 22:[80, 36, 2], Operations: ['24/12=2']
Exploring Operation: 80-36=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 80-36=44
Current State: 22:[2, 44], Operations: ['24/12=2', '80-36=44']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
63,
45,
78,
78
] | 48 | [
"63+45=108",
"78+78=156",
"156-108=48"
] | Current State: 48:[63, 45, 78, 78], Operations: []
Exploring Operation: 63+45=108, Resulting Numbers: [78, 78, 108]
Generated Node #2: [78, 78, 108] from Operation: 63+45=108
Current State: 48:[78, 78, 108], Operations: ['63+45=108']
Exploring Operation: 78+78=156, Resulting Numbers: [108, 156]
Generated Node #3: [108, 156] from Operation: 78+78=156
Current State: 48:[108, 156], Operations: ['63+45=108', '78+78=156']
Exploring Operation: 156-108=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
33,
9,
12,
78
] | 80 | [
"33-9=24",
"24/12=2",
"78+2=80"
] | Current State: 80:[33, 9, 12, 78], Operations: []
Exploring Operation: 33-9=24, Resulting Numbers: [12, 78, 24]
Generated Node #2: [12, 78, 24] from Operation: 33-9=24
Current State: 80:[12, 78, 24], Operations: ['33-9=24']
Exploring Operation: 24/12=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 24/12=2
Current State: 80:[78, 2], Operations: ['33-9=24', '24/12=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
12,
83,
5,
35
] | 12 | [
"12+83=95",
"95-35=60",
"60/5=12"
] | Current State: 12:[12, 83, 5, 35], Operations: []
Exploring Operation: 12+83=95, Resulting Numbers: [5, 35, 95]
Generated Node #2: [5, 35, 95] from Operation: 12+83=95
Current State: 12:[5, 35, 95], Operations: ['12+83=95']
Exploring Operation: 95-35=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 95-35=60
Current State: 12:[5, 60], Operations: ['12+83=95', '95-35=60']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
32,
6,
43,
7
] | 26 | [
"43-7=36",
"36/6=6",
"32-6=26"
] | Current State: 26:[32, 6, 43, 7], Operations: []
Exploring Operation: 43-7=36, Resulting Numbers: [32, 6, 36]
Generated Node #2: [32, 6, 36] from Operation: 43-7=36
Current State: 26:[32, 6, 36], Operations: ['43-7=36']
Exploring Operation: 36/6=6, Resulting Numbers: [32, 6]
Generated Node #3: [32, 6] from Operation: 36/6=6
Current State: 26:[32, 6], Operations: ['43-7=36', '36/6=6']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
7,
46,
51,
39
] | 27 | [
"46-7=39",
"51-39=12",
"39-12=27"
] | Current State: 27:[7, 46, 51, 39], Operations: []
Exploring Operation: 46-7=39, Resulting Numbers: [51, 39, 39]
Generated Node #2: [51, 39, 39] from Operation: 46-7=39
Current State: 27:[51, 39, 39], Operations: ['46-7=39']
Exploring Operation: 51-39=12, Resulting Numbers: [12]
12,27 equal: Goal Reached
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
81,
94,
82,
82
] | 14 | [
"94-81=13",
"82/82=1",
"13+1=14"
] | Current State: 14:[81, 94, 82, 82], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [82, 82, 13]
Generated Node #2: [82, 82, 13] from Operation: 94-81=13
Current State: 14:[82, 82, 13], Operations: ['94-81=13']
Exploring Operation: 82/82=1, Resulting Numbers: [13, 1]
Generated Node #3: [13, 1] from Operation: 82/82=1
Current State: 14:[13, 1], Operations: ['94-81=13', '82/82=1']
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
26,
13,
56,
40
] | 56 | [
"26+13=39",
"40-39=1",
"56*1=56"
] | Current State: 56:[26, 13, 56, 40], Operations: []
Exploring Operation: 26+13=39, Resulting Numbers: [56, 40, 39]
Generated Node #2: [56, 40, 39] from Operation: 26+13=39
Current State: 56:[56, 40, 39], Operations: ['26+13=39']
Exploring Operation: 40-39=1, Resulting Numbers: [56, 1]
Generated Node #3: [56, 1] from Operation: 40-39=1
Current State: 56:[56, 1], Operations: ['26+13=39', '40-39=1']
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
81,
22,
27,
22
] | 88 | [
"81*22=1782",
"1782/27=66",
"22+66=88"
] | Current State: 88:[81, 22, 27, 22], Operations: []
Exploring Operation: 81*22=1782, Resulting Numbers: [27, 1782]
Generated Node #2: [27, 1782] from Operation: 81*22=1782
Current State: 88:[27, 1782], Operations: ['81*22=1782']
Exploring Operation: 1782/27=66, Resulting Numbers: [66]
66,88 equal: Goal Reached
Exploring Operation: 22+66=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
61,
24,
77,
5
] | 28 | [
"61+5=66",
"24*77=1848",
"1848/66=28"
] | Current State: 28:[61, 24, 77, 5], Operations: []
Exploring Operation: 61+5=66, Resulting Numbers: [24, 77, 66]
Generated Node #2: [24, 77, 66] from Operation: 61+5=66
Current State: 28:[24, 77, 66], Operations: ['61+5=66']
Exploring Operation: 24*77=1848, Resulting Numbers: [66, 1848]
Generated Node #3: [66, 1848] from Operation: 24*77=1848
Current State: 28:[66, 1848], Operations: ['61+5=66', '24*77=1848']
Exploring Operation: 1848/66=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
78,
27,
49,
87
] | 55 | [
"49*87=4263",
"27+4263=4290",
"4290/78=55"
] | Current State: 55:[78, 27, 49, 87], Operations: []
Exploring Operation: 49*87=4263, Resulting Numbers: [78, 27, 4263]
Generated Node #2: [78, 27, 4263] from Operation: 49*87=4263
Current State: 55:[78, 27, 4263], Operations: ['49*87=4263']
Exploring Operation: 27+4263=4290, Resulting Numbers: [78, 4290]
Generated Node #3: [78, 4290] from Operation: 27+4263=4290
Current State: 55:[78, 4290], Operations: ['49*87=4263', '27+4263=4290']
Exploring Operation: 4290/78=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
3,
32,
34,
69
] | 64 | [
"32-3=29",
"69-34=35",
"29+35=64"
] | Current State: 64:[3, 32, 34, 69], Operations: []
Exploring Operation: 32-3=29, Resulting Numbers: [34, 69, 29]
Generated Node #2: [34, 69, 29] from Operation: 32-3=29
Current State: 64:[34, 69, 29], Operations: ['32-3=29']
Exploring Operation: 69-34=35, Resulting Numbers: [29, 35]
Generated Node #3: [29, 35] from Operation: 69-34=35
Current State: 64:[29, 35], Operations: ['32-3=29', '69-34=35']
Exploring Operation: 29+35=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
66,
63,
15,
55
] | 43 | [
"66-63=3",
"55-15=40",
"3+40=43"
] | Current State: 43:[66, 63, 15, 55], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [15, 55, 3]
Generated Node #2: [15, 55, 3] from Operation: 66-63=3
Current State: 43:[15, 55, 3], Operations: ['66-63=3']
Exploring Operation: 55-15=40, Resulting Numbers: [3, 40]
Generated Node #3: [3, 40] from Operation: 55-15=40
Current State: 43:[3, 40], Operations: ['66-63=3', '55-15=40']
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
87,
81,
93,
28
] | 56 | [
"81+93=174",
"174/87=2",
"28*2=56"
] | Current State: 56:[87, 81, 93, 28], Operations: []
Exploring Operation: 81+93=174, Resulting Numbers: [87, 28, 174]
Generated Node #2: [87, 28, 174] from Operation: 81+93=174
Current State: 56:[87, 28, 174], Operations: ['81+93=174']
Exploring Operation: 174/87=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 174/87=2
Current State: 56:[28, 2], Operations: ['81+93=174', '174/87=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
30,
74,
67,
10
] | 12 | [
"67-30=37",
"74/37=2",
"10+2=12"
] | Current State: 12:[30, 74, 67, 10], Operations: []
Exploring Operation: 67-30=37, Resulting Numbers: [74, 10, 37]
Generated Node #2: [74, 10, 37] from Operation: 67-30=37
Current State: 12:[74, 10, 37], Operations: ['67-30=37']
Exploring Operation: 74/37=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 74/37=2
Current State: 12:[10, 2], Operations: ['67-30=37', '74/37=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
95,
10,
92,
91
] | 13 | [
"95-10=85",
"92-85=7",
"91/7=13"
] | Current State: 13:[95, 10, 92, 91], Operations: []
Exploring Operation: 95-10=85, Resulting Numbers: [92, 91, 85]
Generated Node #2: [92, 91, 85] from Operation: 95-10=85
Current State: 13:[92, 91, 85], Operations: ['95-10=85']
Exploring Operation: 92-85=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 92-85=7
Current State: 13:[91, 7], Operations: ['95-10=85', '92-85=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
99,
54,
50,
37
] | 58 | [
"99-54=45",
"50-37=13",
"45+13=58"
] | Current State: 58:[99, 54, 50, 37], Operations: []
Exploring Operation: 99-54=45, Resulting Numbers: [50, 37, 45]
Generated Node #2: [50, 37, 45] from Operation: 99-54=45
Current State: 58:[50, 37, 45], Operations: ['99-54=45']
Exploring Operation: 50-37=13, Resulting Numbers: [45, 13]
Generated Node #3: [45, 13] from Operation: 50-37=13
Current State: 58:[45, 13], Operations: ['99-54=45', '50-37=13']
Exploring Operation: 45+13=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
45,
28,
24,
3
] | 21 | [
"45-28=17",
"24-17=7",
"3*7=21"
] | Current State: 21:[45, 28, 24, 3], Operations: []
Exploring Operation: 45-28=17, Resulting Numbers: [24, 3, 17]
Generated Node #2: [24, 3, 17] from Operation: 45-28=17
Current State: 21:[24, 3, 17], Operations: ['45-28=17']
Exploring Operation: 24-17=7, Resulting Numbers: [3, 7]
Generated Node #3: [3, 7] from Operation: 24-17=7
Current State: 21:[3, 7], Operations: ['45-28=17', '24-17=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
2,
66,
2,
6
] | 65 | [
"2+66=68",
"6/2=3",
"68-3=65"
] | Current State: 65:[2, 66, 2, 6], Operations: []
Exploring Operation: 2+66=68, Resulting Numbers: [6, 68]
Generated Node #2: [6, 68] from Operation: 2+66=68
Current State: 65:[6, 68], Operations: ['2+66=68']
Exploring Operation: 6/2=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 6/2=3
Current State: 65:[68, 3], Operations: ['2+66=68', '6/2=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
88,
4,
5,
56
] | 13 | [
"88-56=32",
"32/4=8",
"5+8=13"
] | Current State: 13:[88, 4, 5, 56], Operations: []
Exploring Operation: 88-56=32, Resulting Numbers: [4, 5, 32]
Generated Node #2: [4, 5, 32] from Operation: 88-56=32
Current State: 13:[4, 5, 32], Operations: ['88-56=32']
Exploring Operation: 32/4=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 32/4=8
Current State: 13:[5, 8], Operations: ['88-56=32', '32/4=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
30,
98,
12,
4
] | 84 | [
"98-30=68",
"12+4=16",
"68+16=84"
] | Current State: 84:[30, 98, 12, 4], Operations: []
Exploring Operation: 98-30=68, Resulting Numbers: [12, 4, 68]
Generated Node #2: [12, 4, 68] from Operation: 98-30=68
Current State: 84:[12, 4, 68], Operations: ['98-30=68']
Exploring Operation: 12+4=16, Resulting Numbers: [68, 16]
Generated Node #3: [68, 16] from Operation: 12+4=16
Current State: 84:[68, 16], Operations: ['98-30=68', '12+4=16']
Exploring Operation: 68+16=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
21,
31,
56,
17
] | 17 | [
"21-17=4",
"56/4=14",
"31-14=17"
] | Current State: 17:[21, 31, 56, 17], Operations: []
Exploring Operation: 21-17=4, Resulting Numbers: [31, 56, 4]
Generated Node #2: [31, 56, 4] from Operation: 21-17=4
Current State: 17:[31, 56, 4], Operations: ['21-17=4']
Exploring Operation: 56/4=14, Resulting Numbers: [31, 14]
Generated Node #3: [31, 14] from Operation: 56/4=14
Current State: 17:[31, 14], Operations: ['21-17=4', '56/4=14']
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
88,
53,
5,
20
] | 31 | [
"88-53=35",
"20/5=4",
"35-4=31"
] | Current State: 31:[88, 53, 5, 20], Operations: []
Exploring Operation: 88-53=35, Resulting Numbers: [5, 20, 35]
Generated Node #2: [5, 20, 35] from Operation: 88-53=35
Current State: 31:[5, 20, 35], Operations: ['88-53=35']
Exploring Operation: 20/5=4, Resulting Numbers: [35, 4]
Generated Node #3: [35, 4] from Operation: 20/5=4
Current State: 31:[35, 4], Operations: ['88-53=35', '20/5=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
33,
2,
62,
3
] | 100 | [
"33+2=35",
"62+3=65",
"35+65=100"
] | Current State: 100:[33, 2, 62, 3], Operations: []
Exploring Operation: 33+2=35, Resulting Numbers: [62, 3, 35]
Generated Node #2: [62, 3, 35] from Operation: 33+2=35
Current State: 100:[62, 3, 35], Operations: ['33+2=35']
Exploring Operation: 62+3=65, Resulting Numbers: [35, 65]
Generated Node #3: [35, 65] from Operation: 62+3=65
Current State: 100:[35, 65], Operations: ['33+2=35', '62+3=65']
Exploring Operation: 35+65=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
51,
1,
43,
73
] | 80 | [
"51-1=50",
"73-43=30",
"50+30=80"
] | Current State: 80:[51, 1, 43, 73], Operations: []
Exploring Operation: 51-1=50, Resulting Numbers: [43, 73, 50]
Generated Node #2: [43, 73, 50] from Operation: 51-1=50
Current State: 80:[43, 73, 50], Operations: ['51-1=50']
Exploring Operation: 73-43=30, Resulting Numbers: [50, 30]
Generated Node #3: [50, 30] from Operation: 73-43=30
Current State: 80:[50, 30], Operations: ['51-1=50', '73-43=30']
Exploring Operation: 50+30=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
21,
5,
51,
90
] | 15 | [
"51-21=30",
"5*90=450",
"450/30=15"
] | Current State: 15:[21, 5, 51, 90], Operations: []
Exploring Operation: 51-21=30, Resulting Numbers: [5, 90, 30]
Generated Node #2: [5, 90, 30] from Operation: 51-21=30
Current State: 15:[5, 90, 30], Operations: ['51-21=30']
Exploring Operation: 5*90=450, Resulting Numbers: [30, 450]
Generated Node #3: [30, 450] from Operation: 5*90=450
Current State: 15:[30, 450], Operations: ['51-21=30', '5*90=450']
Exploring Operation: 450/30=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
18,
5,
91,
1
] | 19 | [
"5-1=4",
"18*4=72",
"91-72=19"
] | Current State: 19:[18, 5, 91, 1], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [18, 91, 4]
Generated Node #2: [18, 91, 4] from Operation: 5-1=4
Current State: 19:[18, 91, 4], Operations: ['5-1=4']
Exploring Operation: 18*4=72, Resulting Numbers: [91, 72]
Generated Node #3: [91, 72] from Operation: 18*4=72
Current State: 19:[91, 72], Operations: ['5-1=4', '18*4=72']
Exploring Operation: 91-72=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
7,
68,
59,
50
] | 25 | [
"68-7=61",
"61-59=2",
"50/2=25"
] | Current State: 25:[7, 68, 59, 50], Operations: []
Exploring Operation: 68-7=61, Resulting Numbers: [59, 50, 61]
Generated Node #2: [59, 50, 61] from Operation: 68-7=61
Current State: 25:[59, 50, 61], Operations: ['68-7=61']
Exploring Operation: 61-59=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 61-59=2
Current State: 25:[50, 2], Operations: ['68-7=61', '61-59=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
8,
32,
50,
29
] | 17 | [
"32/8=4",
"50-29=21",
"21-4=17"
] | Current State: 17:[8, 32, 50, 29], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [50, 29, 4]
Generated Node #2: [50, 29, 4] from Operation: 32/8=4
Current State: 17:[50, 29, 4], Operations: ['32/8=4']
Exploring Operation: 50-29=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 50-29=21
Current State: 17:[4, 21], Operations: ['32/8=4', '50-29=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
5,
75,
8,
36
] | 79 | [
"5*8=40",
"75-36=39",
"40+39=79"
] | Current State: 79:[5, 75, 8, 36], Operations: []
Exploring Operation: 5*8=40, Resulting Numbers: [75, 36, 40]
Generated Node #2: [75, 36, 40] from Operation: 5*8=40
Current State: 79:[75, 36, 40], Operations: ['5*8=40']
Exploring Operation: 75-36=39, Resulting Numbers: [40, 39]
Generated Node #3: [40, 39] from Operation: 75-36=39
Current State: 79:[40, 39], Operations: ['5*8=40', '75-36=39']
Exploring Operation: 40+39=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
47,
17,
22,
77
] | 20 | [
"17+77=94",
"94/47=2",
"22-2=20"
] | Current State: 20:[47, 17, 22, 77], Operations: []
Exploring Operation: 17+77=94, Resulting Numbers: [47, 22, 94]
Generated Node #2: [47, 22, 94] from Operation: 17+77=94
Current State: 20:[47, 22, 94], Operations: ['17+77=94']
Exploring Operation: 94/47=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 94/47=2
Current State: 20:[22, 2], Operations: ['17+77=94', '94/47=2']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
57,
12,
93,
15
] | 45 | [
"93-57=36",
"36/12=3",
"15*3=45"
] | Current State: 45:[57, 12, 93, 15], Operations: []
Exploring Operation: 93-57=36, Resulting Numbers: [12, 15, 36]
Generated Node #2: [12, 15, 36] from Operation: 93-57=36
Current State: 45:[12, 15, 36], Operations: ['93-57=36']
Exploring Operation: 36/12=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 36/12=3
Current State: 45:[15, 3], Operations: ['93-57=36', '36/12=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
26,
82,
65,
21
] | 95 | [
"26-21=5",
"65/5=13",
"82+13=95"
] | Current State: 95:[26, 82, 65, 21], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [82, 65, 5]
Generated Node #2: [82, 65, 5] from Operation: 26-21=5
Current State: 95:[82, 65, 5], Operations: ['26-21=5']
Exploring Operation: 65/5=13, Resulting Numbers: [82, 13]
Generated Node #3: [82, 13] from Operation: 65/5=13
Current State: 95:[82, 13], Operations: ['26-21=5', '65/5=13']
Exploring Operation: 82+13=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
55,
63,
78,
17
] | 57 | [
"55+63=118",
"78-17=61",
"118-61=57"
] | Current State: 57:[55, 63, 78, 17], Operations: []
Exploring Operation: 55+63=118, Resulting Numbers: [78, 17, 118]
Generated Node #2: [78, 17, 118] from Operation: 55+63=118
Current State: 57:[78, 17, 118], Operations: ['55+63=118']
Exploring Operation: 78-17=61, Resulting Numbers: [118, 61]
Generated Node #3: [118, 61] from Operation: 78-17=61
Current State: 57:[118, 61], Operations: ['55+63=118', '78-17=61']
Exploring Operation: 118-61=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
61,
71,
89,
80
] | 37 | [
"61+71=132",
"89+80=169",
"169-132=37"
] | Current State: 37:[61, 71, 89, 80], Operations: []
Exploring Operation: 61+71=132, Resulting Numbers: [89, 80, 132]
Generated Node #2: [89, 80, 132] from Operation: 61+71=132
Current State: 37:[89, 80, 132], Operations: ['61+71=132']
Exploring Operation: 89+80=169, Resulting Numbers: [132, 169]
Generated Node #3: [132, 169] from Operation: 89+80=169
Current State: 37:[132, 169], Operations: ['61+71=132', '89+80=169']
Exploring Operation: 169-132=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
10,
87,
59,
43
] | 61 | [
"87-10=77",
"59-43=16",
"77-16=61"
] | Current State: 61:[10, 87, 59, 43], Operations: []
Exploring Operation: 87-10=77, Resulting Numbers: [59, 43, 77]
Generated Node #2: [59, 43, 77] from Operation: 87-10=77
Current State: 61:[59, 43, 77], Operations: ['87-10=77']
Exploring Operation: 59-43=16, Resulting Numbers: [77, 16]
Generated Node #3: [77, 16] from Operation: 59-43=16
Current State: 61:[77, 16], Operations: ['87-10=77', '59-43=16']
Exploring Operation: 77-16=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
59,
99,
42,
35
] | 47 | [
"99-59=40",
"42-35=7",
"40+7=47"
] | Current State: 47:[59, 99, 42, 35], Operations: []
Exploring Operation: 99-59=40, Resulting Numbers: [42, 35, 40]
Generated Node #2: [42, 35, 40] from Operation: 99-59=40
Current State: 47:[42, 35, 40], Operations: ['99-59=40']
Exploring Operation: 42-35=7, Resulting Numbers: [40, 7]
Generated Node #3: [40, 7] from Operation: 42-35=7
Current State: 47:[40, 7], Operations: ['99-59=40', '42-35=7']
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
58,
55,
9,
69
] | 35 | [
"58+55=113",
"9+69=78",
"113-78=35"
] | Current State: 35:[58, 55, 9, 69], Operations: []
Exploring Operation: 58+55=113, Resulting Numbers: [9, 69, 113]
Generated Node #2: [9, 69, 113] from Operation: 58+55=113
Current State: 35:[9, 69, 113], Operations: ['58+55=113']
Exploring Operation: 9+69=78, Resulting Numbers: [113, 78]
Generated Node #3: [113, 78] from Operation: 9+69=78
Current State: 35:[113, 78], Operations: ['58+55=113', '9+69=78']
Exploring Operation: 113-78=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
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