nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
47,
65,
62,
1
] | 79 | [
"65-47=18",
"62-1=61",
"18+61=79"
] | Current State: 79:[47, 65, 62, 1], Operations: []
Exploring Operation: 65-47=18, Resulting Numbers: [62, 1, 18]
Generated Node #2: [62, 1, 18] from Operation: 65-47=18
Current State: 79:[62, 1, 18], Operations: ['65-47=18']
Exploring Operation: 62-1=61, Resulting Numbers: [18, 61]
Generated Node #3: [18, 61] from Operation: 62-1=61
Current State: 79:[18, 61], Operations: ['65-47=18', '62-1=61']
Exploring Operation: 18+61=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
84,
95,
25,
10
] | 25 | [
"95-84=11",
"11-10=1",
"25*1=25"
] | Current State: 25:[84, 95, 25, 10], Operations: []
Exploring Operation: 95-84=11, Resulting Numbers: [25, 10, 11]
Generated Node #2: [25, 10, 11] from Operation: 95-84=11
Current State: 25:[25, 10, 11], Operations: ['95-84=11']
Exploring Operation: 11-10=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 11-10=1
Current State: 25:[25, 1], Operations: ['95-84=11', '11-10=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
48,
49,
4,
15
] | 52 | [
"48/4=12",
"49+15=64",
"64-12=52"
] | Current State: 52:[48, 49, 4, 15], Operations: []
Exploring Operation: 48/4=12, Resulting Numbers: [49, 15, 12]
Generated Node #2: [49, 15, 12] from Operation: 48/4=12
Current State: 52:[49, 15, 12], Operations: ['48/4=12']
Exploring Operation: 49+15=64, Resulting Numbers: [12, 64]
Generated Node #3: [12, 64] from Operation: 49+15=64
Current State: 52:[12, 64], Operations: ['48/4=12', '49+15=64']
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
95,
14,
94,
24
] | 19 | [
"95*14=1330",
"94-24=70",
"1330/70=19"
] | Current State: 19:[95, 14, 94, 24], Operations: []
Exploring Operation: 95*14=1330, Resulting Numbers: [94, 24, 1330]
Generated Node #2: [94, 24, 1330] from Operation: 95*14=1330
Current State: 19:[94, 24, 1330], Operations: ['95*14=1330']
Exploring Operation: 94-24=70, Resulting Numbers: [1330, 70]
Generated Node #3: [1330, 70] from Operation: 94-24=70
Current State: 19:[1330, 70], Operations: ['95*14=1330', '94-24=70']
Exploring Operation: 1330/70=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
28,
8,
4,
75
] | 68 | [
"8-4=4",
"28/4=7",
"75-7=68"
] | Current State: 68:[28, 8, 4, 75], Operations: []
Exploring Operation: 8-4=4, Resulting Numbers: [28, 75, 4]
Generated Node #2: [28, 75, 4] from Operation: 8-4=4
Current State: 68:[28, 75, 4], Operations: ['8-4=4']
Exploring Operation: 28/4=7, Resulting Numbers: [75, 7]
Generated Node #3: [75, 7] from Operation: 28/4=7
Current State: 68:[75, 7], Operations: ['8-4=4', '28/4=7']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
40,
35,
59,
83
] | 21 | [
"83-59=24",
"35*24=840",
"840/40=21"
] | Current State: 21:[40, 35, 59, 83], Operations: []
Exploring Operation: 83-59=24, Resulting Numbers: [40, 35, 24]
Generated Node #2: [40, 35, 24] from Operation: 83-59=24
Current State: 21:[40, 35, 24], Operations: ['83-59=24']
Exploring Operation: 35*24=840, Resulting Numbers: [40, 840]
Generated Node #3: [40, 840] from Operation: 35*24=840
Current State: 21:[40, 840], Operations: ['83-59=24', '35*24=840']
Exploring Operation: 840/40=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
42,
50,
6,
12
] | 48 | [
"50-42=8",
"12-6=6",
"8*6=48"
] | Current State: 48:[42, 50, 6, 12], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [6, 12, 8]
Generated Node #2: [6, 12, 8] from Operation: 50-42=8
Current State: 48:[6, 12, 8], Operations: ['50-42=8']
Exploring Operation: 12-6=6, Resulting Numbers: [8, 6]
Generated Node #3: [8, 6] from Operation: 12-6=6
Current State: 48:[8, 6], Operations: ['50-42=8', '12-6=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
40,
54,
19,
74
] | 38 | [
"40*19=760",
"74-54=20",
"760/20=38"
] | Current State: 38:[40, 54, 19, 74], Operations: []
Exploring Operation: 40*19=760, Resulting Numbers: [54, 74, 760]
Generated Node #2: [54, 74, 760] from Operation: 40*19=760
Current State: 38:[54, 74, 760], Operations: ['40*19=760']
Exploring Operation: 74-54=20, Resulting Numbers: [760, 20]
Generated Node #3: [760, 20] from Operation: 74-54=20
Current State: 38:[760, 20], Operations: ['40*19=760', '74-54=20']
Exploring Operation: 760/20=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
35,
78,
61,
23
] | 20 | [
"61-35=26",
"78/26=3",
"23-3=20"
] | Current State: 20:[35, 78, 61, 23], Operations: []
Exploring Operation: 61-35=26, Resulting Numbers: [78, 23, 26]
Generated Node #2: [78, 23, 26] from Operation: 61-35=26
Current State: 20:[78, 23, 26], Operations: ['61-35=26']
Exploring Operation: 78/26=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 78/26=3
Current State: 20:[23, 3], Operations: ['61-35=26', '78/26=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
54,
69,
83,
46
] | 52 | [
"69-54=15",
"83-46=37",
"15+37=52"
] | Current State: 52:[54, 69, 83, 46], Operations: []
Exploring Operation: 69-54=15, Resulting Numbers: [83, 46, 15]
Generated Node #2: [83, 46, 15] from Operation: 69-54=15
Current State: 52:[83, 46, 15], Operations: ['69-54=15']
Exploring Operation: 83-46=37, Resulting Numbers: [15, 37]
Generated Node #3: [15, 37] from Operation: 83-46=37
Current State: 52:[15, 37], Operations: ['69-54=15', '83-46=37']
Exploring Operation: 15+37=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
55,
40,
16,
42
] | 63 | [
"42-40=2",
"16/2=8",
"55+8=63"
] | Current State: 63:[55, 40, 16, 42], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [55, 16, 2]
Generated Node #2: [55, 16, 2] from Operation: 42-40=2
Current State: 63:[55, 16, 2], Operations: ['42-40=2']
Exploring Operation: 16/2=8, Resulting Numbers: [55, 8]
Generated Node #3: [55, 8] from Operation: 16/2=8
Current State: 63:[55, 8], Operations: ['42-40=2', '16/2=8']
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
24,
3,
61,
32
] | 15 | [
"61-24=37",
"37-32=5",
"3*5=15"
] | Current State: 15:[24, 3, 61, 32], Operations: []
Exploring Operation: 61-24=37, Resulting Numbers: [3, 32, 37]
Generated Node #2: [3, 32, 37] from Operation: 61-24=37
Current State: 15:[3, 32, 37], Operations: ['61-24=37']
Exploring Operation: 37-32=5, Resulting Numbers: [3, 5]
Generated Node #3: [3, 5] from Operation: 37-32=5
Current State: 15:[3, 5], Operations: ['61-24=37', '37-32=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
26,
55,
93,
1
] | 64 | [
"55-26=29",
"93*1=93",
"93-29=64"
] | Current State: 64:[26, 55, 93, 1], Operations: []
Exploring Operation: 55-26=29, Resulting Numbers: [93, 1, 29]
Generated Node #2: [93, 1, 29] from Operation: 55-26=29
Current State: 64:[93, 1, 29], Operations: ['55-26=29']
Exploring Operation: 93*1=93, Resulting Numbers: [29, 93]
Generated Node #3: [29, 93] from Operation: 93*1=93
Current State: 64:[29, 93], Operations: ['55-26=29', '93*1=93']
Exploring Operation: 93-29=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
44,
32,
40,
21
] | 29 | [
"44-40=4",
"32/4=8",
"21+8=29"
] | Current State: 29:[44, 32, 40, 21], Operations: []
Exploring Operation: 44-40=4, Resulting Numbers: [32, 21, 4]
Generated Node #2: [32, 21, 4] from Operation: 44-40=4
Current State: 29:[32, 21, 4], Operations: ['44-40=4']
Exploring Operation: 32/4=8, Resulting Numbers: [21, 8]
Generated Node #3: [21, 8] from Operation: 32/4=8
Current State: 29:[21, 8], Operations: ['44-40=4', '32/4=8']
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
83,
34,
18,
17
] | 82 | [
"83+34=117",
"18+17=35",
"117-35=82"
] | Current State: 82:[83, 34, 18, 17], Operations: []
Exploring Operation: 83+34=117, Resulting Numbers: [18, 17, 117]
Generated Node #2: [18, 17, 117] from Operation: 83+34=117
Current State: 82:[18, 17, 117], Operations: ['83+34=117']
Exploring Operation: 18+17=35, Resulting Numbers: [117, 35]
Generated Node #3: [117, 35] from Operation: 18+17=35
Current State: 82:[117, 35], Operations: ['83+34=117', '18+17=35']
Exploring Operation: 117-35=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
74,
87,
84,
72
] | 81 | [
"74-72=2",
"84*2=168",
"168-87=81"
] | Current State: 81:[74, 87, 84, 72], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [87, 84, 2]
Generated Node #2: [87, 84, 2] from Operation: 74-72=2
Current State: 81:[87, 84, 2], Operations: ['74-72=2']
Exploring Operation: 84*2=168, Resulting Numbers: [87, 168]
Generated Node #3: [87, 168] from Operation: 84*2=168
Current State: 81:[87, 168], Operations: ['74-72=2', '84*2=168']
Exploring Operation: 168-87=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
22,
2,
77,
53
] | 87 | [
"77+53=130",
"130/2=65",
"22+65=87"
] | Current State: 87:[22, 2, 77, 53], Operations: []
Exploring Operation: 77+53=130, Resulting Numbers: [22, 2, 130]
Generated Node #2: [22, 2, 130] from Operation: 77+53=130
Current State: 87:[22, 2, 130], Operations: ['77+53=130']
Exploring Operation: 130/2=65, Resulting Numbers: [22, 65]
Generated Node #3: [22, 65] from Operation: 130/2=65
Current State: 87:[22, 65], Operations: ['77+53=130', '130/2=65']
Exploring Operation: 22+65=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
20,
96,
74,
76
] | 86 | [
"76-74=2",
"20/2=10",
"96-10=86"
] | Current State: 86:[20, 96, 74, 76], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [20, 96, 2]
Generated Node #2: [20, 96, 2] from Operation: 76-74=2
Current State: 86:[20, 96, 2], Operations: ['76-74=2']
Exploring Operation: 20/2=10, Resulting Numbers: [96, 10]
Generated Node #3: [96, 10] from Operation: 20/2=10
Current State: 86:[96, 10], Operations: ['76-74=2', '20/2=10']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
2,
35,
54,
48
] | 69 | [
"35-2=33",
"54+48=102",
"102-33=69"
] | Current State: 69:[2, 35, 54, 48], Operations: []
Exploring Operation: 35-2=33, Resulting Numbers: [54, 48, 33]
Generated Node #2: [54, 48, 33] from Operation: 35-2=33
Current State: 69:[54, 48, 33], Operations: ['35-2=33']
Exploring Operation: 54+48=102, Resulting Numbers: [33, 102]
Generated Node #3: [33, 102] from Operation: 54+48=102
Current State: 69:[33, 102], Operations: ['35-2=33', '54+48=102']
Exploring Operation: 102-33=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
85,
40,
65,
99
] | 35 | [
"85*40=3400",
"65+3400=3465",
"3465/99=35"
] | Current State: 35:[85, 40, 65, 99], Operations: []
Exploring Operation: 85*40=3400, Resulting Numbers: [65, 99, 3400]
Generated Node #2: [65, 99, 3400] from Operation: 85*40=3400
Current State: 35:[65, 99, 3400], Operations: ['85*40=3400']
Exploring Operation: 65+3400=3465, Resulting Numbers: [99, 3465]
Generated Node #3: [99, 3465] from Operation: 65+3400=3465
Current State: 35:[99, 3465], Operations: ['85*40=3400', '65+3400=3465']
Exploring Operation: 3465/99=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
4,
57,
76,
97
] | 74 | [
"57-4=53",
"97-76=21",
"53+21=74"
] | Current State: 74:[4, 57, 76, 97], Operations: []
Exploring Operation: 57-4=53, Resulting Numbers: [76, 97, 53]
Generated Node #2: [76, 97, 53] from Operation: 57-4=53
Current State: 74:[76, 97, 53], Operations: ['57-4=53']
Exploring Operation: 97-76=21, Resulting Numbers: [53, 21]
Generated Node #3: [53, 21] from Operation: 97-76=21
Current State: 74:[53, 21], Operations: ['57-4=53', '97-76=21']
Exploring Operation: 53+21=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
16,
41,
56,
34
] | 35 | [
"16+41=57",
"56-34=22",
"57-22=35"
] | Current State: 35:[16, 41, 56, 34], Operations: []
Exploring Operation: 16+41=57, Resulting Numbers: [56, 34, 57]
Generated Node #2: [56, 34, 57] from Operation: 16+41=57
Current State: 35:[56, 34, 57], Operations: ['16+41=57']
Exploring Operation: 56-34=22, Resulting Numbers: [57, 22]
Generated Node #3: [57, 22] from Operation: 56-34=22
Current State: 35:[57, 22], Operations: ['16+41=57', '56-34=22']
Exploring Operation: 57-22=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
8,
68,
67,
24
] | 15 | [
"8+68=76",
"67+24=91",
"91-76=15"
] | Current State: 15:[8, 68, 67, 24], Operations: []
Exploring Operation: 8+68=76, Resulting Numbers: [67, 24, 76]
Generated Node #2: [67, 24, 76] from Operation: 8+68=76
Current State: 15:[67, 24, 76], Operations: ['8+68=76']
Exploring Operation: 67+24=91, Resulting Numbers: [76, 91]
Generated Node #3: [76, 91] from Operation: 67+24=91
Current State: 15:[76, 91], Operations: ['8+68=76', '67+24=91']
Exploring Operation: 91-76=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
21,
88,
56,
7
] | 10 | [
"88*7=616",
"616/56=11",
"21-11=10"
] | Current State: 10:[21, 88, 56, 7], Operations: []
Exploring Operation: 88*7=616, Resulting Numbers: [21, 56, 616]
Generated Node #2: [21, 56, 616] from Operation: 88*7=616
Current State: 10:[21, 56, 616], Operations: ['88*7=616']
Exploring Operation: 616/56=11, Resulting Numbers: [21, 11]
Generated Node #3: [21, 11] from Operation: 616/56=11
Current State: 10:[21, 11], Operations: ['88*7=616', '616/56=11']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
65,
9,
36,
31
] | 92 | [
"65+31=96",
"36/9=4",
"96-4=92"
] | Current State: 92:[65, 9, 36, 31], Operations: []
Exploring Operation: 65+31=96, Resulting Numbers: [9, 36, 96]
Generated Node #2: [9, 36, 96] from Operation: 65+31=96
Current State: 92:[9, 36, 96], Operations: ['65+31=96']
Exploring Operation: 36/9=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 36/9=4
Current State: 92:[96, 4], Operations: ['65+31=96', '36/9=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
23,
61,
36,
5
] | 28 | [
"61-36=25",
"25/5=5",
"23+5=28"
] | Current State: 28:[23, 61, 36, 5], Operations: []
Exploring Operation: 61-36=25, Resulting Numbers: [23, 5, 25]
Generated Node #2: [23, 5, 25] from Operation: 61-36=25
Current State: 28:[23, 5, 25], Operations: ['61-36=25']
Exploring Operation: 25/5=5, Resulting Numbers: [23, 5]
Generated Node #3: [23, 5] from Operation: 25/5=5
Current State: 28:[23, 5], Operations: ['61-36=25', '25/5=5']
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
39,
2,
7,
84
] | 45 | [
"2*7=14",
"84/14=6",
"39+6=45"
] | Current State: 45:[39, 2, 7, 84], Operations: []
Exploring Operation: 2*7=14, Resulting Numbers: [39, 84, 14]
Generated Node #2: [39, 84, 14] from Operation: 2*7=14
Current State: 45:[39, 84, 14], Operations: ['2*7=14']
Exploring Operation: 84/14=6, Resulting Numbers: [39, 6]
Generated Node #3: [39, 6] from Operation: 84/14=6
Current State: 45:[39, 6], Operations: ['2*7=14', '84/14=6']
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
15,
57,
69,
66
] | 14 | [
"15*57=855",
"69+855=924",
"924/66=14"
] | Current State: 14:[15, 57, 69, 66], Operations: []
Exploring Operation: 15*57=855, Resulting Numbers: [69, 66, 855]
Generated Node #2: [69, 66, 855] from Operation: 15*57=855
Current State: 14:[69, 66, 855], Operations: ['15*57=855']
Exploring Operation: 69+855=924, Resulting Numbers: [66, 924]
Generated Node #3: [66, 924] from Operation: 69+855=924
Current State: 14:[66, 924], Operations: ['15*57=855', '69+855=924']
Exploring Operation: 924/66=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
18,
44,
78,
17
] | 42 | [
"18*44=792",
"792-78=714",
"714/17=42"
] | Current State: 42:[18, 44, 78, 17], Operations: []
Exploring Operation: 18*44=792, Resulting Numbers: [78, 17, 792]
Generated Node #2: [78, 17, 792] from Operation: 18*44=792
Current State: 42:[78, 17, 792], Operations: ['18*44=792']
Exploring Operation: 792-78=714, Resulting Numbers: [17, 714]
Generated Node #3: [17, 714] from Operation: 792-78=714
Current State: 42:[17, 714], Operations: ['18*44=792', '792-78=714']
Exploring Operation: 714/17=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
9,
29,
19,
20
] | 28 | [
"29*19=551",
"9+551=560",
"560/20=28"
] | Current State: 28:[9, 29, 19, 20], Operations: []
Exploring Operation: 29*19=551, Resulting Numbers: [9, 20, 551]
Generated Node #2: [9, 20, 551] from Operation: 29*19=551
Current State: 28:[9, 20, 551], Operations: ['29*19=551']
Exploring Operation: 9+551=560, Resulting Numbers: [20, 560]
Generated Node #3: [20, 560] from Operation: 9+551=560
Current State: 28:[20, 560], Operations: ['29*19=551', '9+551=560']
Exploring Operation: 560/20=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
26,
12,
86,
40
] | 18 | [
"86-26=60",
"12*60=720",
"720/40=18"
] | Current State: 18:[26, 12, 86, 40], Operations: []
Exploring Operation: 86-26=60, Resulting Numbers: [12, 40, 60]
Generated Node #2: [12, 40, 60] from Operation: 86-26=60
Current State: 18:[12, 40, 60], Operations: ['86-26=60']
Exploring Operation: 12*60=720, Resulting Numbers: [40, 720]
Generated Node #3: [40, 720] from Operation: 12*60=720
Current State: 18:[40, 720], Operations: ['86-26=60', '12*60=720']
Exploring Operation: 720/40=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
74,
60,
80,
84
] | 59 | [
"84-80=4",
"60/4=15",
"74-15=59"
] | Current State: 59:[74, 60, 80, 84], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [74, 60, 4]
Generated Node #2: [74, 60, 4] from Operation: 84-80=4
Current State: 59:[74, 60, 4], Operations: ['84-80=4']
Exploring Operation: 60/4=15, Resulting Numbers: [74, 15]
Generated Node #3: [74, 15] from Operation: 60/4=15
Current State: 59:[74, 15], Operations: ['84-80=4', '60/4=15']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
26,
30,
64,
74
] | 58 | [
"30-26=4",
"64/4=16",
"74-16=58"
] | Current State: 58:[26, 30, 64, 74], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [64, 74, 4]
Generated Node #2: [64, 74, 4] from Operation: 30-26=4
Current State: 58:[64, 74, 4], Operations: ['30-26=4']
Exploring Operation: 64/4=16, Resulting Numbers: [74, 16]
Generated Node #3: [74, 16] from Operation: 64/4=16
Current State: 58:[74, 16], Operations: ['30-26=4', '64/4=16']
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
2,
66,
74,
63
] | 24 | [
"74-2=72",
"66-63=3",
"72/3=24"
] | Current State: 24:[2, 66, 74, 63], Operations: []
Exploring Operation: 74-2=72, Resulting Numbers: [66, 63, 72]
Generated Node #2: [66, 63, 72] from Operation: 74-2=72
Current State: 24:[66, 63, 72], Operations: ['74-2=72']
Exploring Operation: 66-63=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 66-63=3
Current State: 24:[72, 3], Operations: ['74-2=72', '66-63=3']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
40,
88,
49,
18
] | 90 | [
"49-40=9",
"18/9=2",
"88+2=90"
] | Current State: 90:[40, 88, 49, 18], Operations: []
Exploring Operation: 49-40=9, Resulting Numbers: [88, 18, 9]
Generated Node #2: [88, 18, 9] from Operation: 49-40=9
Current State: 90:[88, 18, 9], Operations: ['49-40=9']
Exploring Operation: 18/9=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 18/9=2
Current State: 90:[88, 2], Operations: ['49-40=9', '18/9=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
27,
23,
26,
8
] | 17 | [
"26-23=3",
"27/3=9",
"8+9=17"
] | Current State: 17:[27, 23, 26, 8], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [27, 8, 3]
Generated Node #2: [27, 8, 3] from Operation: 26-23=3
Current State: 17:[27, 8, 3], Operations: ['26-23=3']
Exploring Operation: 27/3=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 27/3=9
Current State: 17:[8, 9], Operations: ['26-23=3', '27/3=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
66,
40,
75,
61
] | 83 | [
"66-61=5",
"40/5=8",
"75+8=83"
] | Current State: 83:[66, 40, 75, 61], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [40, 75, 5]
Generated Node #2: [40, 75, 5] from Operation: 66-61=5
Current State: 83:[40, 75, 5], Operations: ['66-61=5']
Exploring Operation: 40/5=8, Resulting Numbers: [75, 8]
Generated Node #3: [75, 8] from Operation: 40/5=8
Current State: 83:[75, 8], Operations: ['66-61=5', '40/5=8']
Exploring Operation: 75+8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
34,
76,
12,
58
] | 51 | [
"76-58=18",
"34*18=612",
"612/12=51"
] | Current State: 51:[34, 76, 12, 58], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [34, 12, 18]
Generated Node #2: [34, 12, 18] from Operation: 76-58=18
Current State: 51:[34, 12, 18], Operations: ['76-58=18']
Exploring Operation: 34*18=612, Resulting Numbers: [12, 612]
Generated Node #3: [12, 612] from Operation: 34*18=612
Current State: 51:[12, 612], Operations: ['76-58=18', '34*18=612']
Exploring Operation: 612/12=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
64,
71,
48,
45
] | 87 | [
"71+45=116",
"48*116=5568",
"5568/64=87"
] | Current State: 87:[64, 71, 48, 45], Operations: []
Exploring Operation: 71+45=116, Resulting Numbers: [64, 48, 116]
Generated Node #2: [64, 48, 116] from Operation: 71+45=116
Current State: 87:[64, 48, 116], Operations: ['71+45=116']
Exploring Operation: 48*116=5568, Resulting Numbers: [64, 5568]
Generated Node #3: [64, 5568] from Operation: 48*116=5568
Current State: 87:[64, 5568], Operations: ['71+45=116', '48*116=5568']
Exploring Operation: 5568/64=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
85,
94,
1,
93
] | 86 | [
"85+94=179",
"1*93=93",
"179-93=86"
] | Current State: 86:[85, 94, 1, 93], Operations: []
Exploring Operation: 85+94=179, Resulting Numbers: [1, 93, 179]
Generated Node #2: [1, 93, 179] from Operation: 85+94=179
Current State: 86:[1, 93, 179], Operations: ['85+94=179']
Exploring Operation: 1*93=93, Resulting Numbers: [179, 93]
Generated Node #3: [179, 93] from Operation: 1*93=93
Current State: 86:[179, 93], Operations: ['85+94=179', '1*93=93']
Exploring Operation: 179-93=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
90,
79,
41,
17
] | 69 | [
"90-79=11",
"41+17=58",
"11+58=69"
] | Current State: 69:[90, 79, 41, 17], Operations: []
Exploring Operation: 90-79=11, Resulting Numbers: [41, 17, 11]
Generated Node #2: [41, 17, 11] from Operation: 90-79=11
Current State: 69:[41, 17, 11], Operations: ['90-79=11']
Exploring Operation: 41+17=58, Resulting Numbers: [11, 58]
Generated Node #3: [11, 58] from Operation: 41+17=58
Current State: 69:[11, 58], Operations: ['90-79=11', '41+17=58']
Exploring Operation: 11+58=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
7,
6,
30,
15
] | 81 | [
"7*15=105",
"30-6=24",
"105-24=81"
] | Current State: 81:[7, 6, 30, 15], Operations: []
Exploring Operation: 7*15=105, Resulting Numbers: [6, 30, 105]
Generated Node #2: [6, 30, 105] from Operation: 7*15=105
Current State: 81:[6, 30, 105], Operations: ['7*15=105']
Exploring Operation: 30-6=24, Resulting Numbers: [105, 24]
Generated Node #3: [105, 24] from Operation: 30-6=24
Current State: 81:[105, 24], Operations: ['7*15=105', '30-6=24']
Exploring Operation: 105-24=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
8,
32,
12,
90
] | 45 | [
"32-8=24",
"12*90=1080",
"1080/24=45"
] | Current State: 45:[8, 32, 12, 90], Operations: []
Exploring Operation: 32-8=24, Resulting Numbers: [12, 90, 24]
Generated Node #2: [12, 90, 24] from Operation: 32-8=24
Current State: 45:[12, 90, 24], Operations: ['32-8=24']
Exploring Operation: 12*90=1080, Resulting Numbers: [24, 1080]
Generated Node #3: [24, 1080] from Operation: 12*90=1080
Current State: 45:[24, 1080], Operations: ['32-8=24', '12*90=1080']
Exploring Operation: 1080/24=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
24,
13,
39,
34
] | 91 | [
"34-24=10",
"13*10=130",
"130-39=91"
] | Current State: 91:[24, 13, 39, 34], Operations: []
Exploring Operation: 34-24=10, Resulting Numbers: [13, 39, 10]
Generated Node #2: [13, 39, 10] from Operation: 34-24=10
Current State: 91:[13, 39, 10], Operations: ['34-24=10']
Exploring Operation: 13*10=130, Resulting Numbers: [39, 130]
Generated Node #3: [39, 130] from Operation: 13*10=130
Current State: 91:[39, 130], Operations: ['34-24=10', '13*10=130']
Exploring Operation: 130-39=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
65,
92,
51,
90
] | 66 | [
"92-65=27",
"90-51=39",
"27+39=66"
] | Current State: 66:[65, 92, 51, 90], Operations: []
Exploring Operation: 92-65=27, Resulting Numbers: [51, 90, 27]
Generated Node #2: [51, 90, 27] from Operation: 92-65=27
Current State: 66:[51, 90, 27], Operations: ['92-65=27']
Exploring Operation: 90-51=39, Resulting Numbers: [27, 39]
Generated Node #3: [27, 39] from Operation: 90-51=39
Current State: 66:[27, 39], Operations: ['92-65=27', '90-51=39']
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
80,
40,
87,
73
] | 16 | [
"80/40=2",
"87-73=14",
"2+14=16"
] | Current State: 16:[80, 40, 87, 73], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [87, 73, 2]
Generated Node #2: [87, 73, 2] from Operation: 80/40=2
Current State: 16:[87, 73, 2], Operations: ['80/40=2']
Exploring Operation: 87-73=14, Resulting Numbers: [2, 14]
Generated Node #3: [2, 14] from Operation: 87-73=14
Current State: 16:[2, 14], Operations: ['80/40=2', '87-73=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
71,
14,
77,
7
] | 91 | [
"77-71=6",
"14*6=84",
"7+84=91"
] | Current State: 91:[71, 14, 77, 7], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [14, 7, 6]
Generated Node #2: [14, 7, 6] from Operation: 77-71=6
Current State: 91:[14, 7, 6], Operations: ['77-71=6']
Exploring Operation: 14*6=84, Resulting Numbers: [7, 84]
Generated Node #3: [7, 84] from Operation: 14*6=84
Current State: 91:[7, 84], Operations: ['77-71=6', '14*6=84']
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
86,
37,
37,
60
] | 27 | [
"86-60=26",
"37/37=1",
"26+1=27"
] | Current State: 27:[86, 37, 37, 60], Operations: []
Exploring Operation: 86-60=26, Resulting Numbers: [37, 37, 26]
Generated Node #2: [37, 37, 26] from Operation: 86-60=26
Current State: 27:[37, 37, 26], Operations: ['86-60=26']
Exploring Operation: 37/37=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 37/37=1
Current State: 27:[26, 1], Operations: ['86-60=26', '37/37=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
16,
84,
4,
36
] | 68 | [
"16+84=100",
"36-4=32",
"100-32=68"
] | Current State: 68:[16, 84, 4, 36], Operations: []
Exploring Operation: 16+84=100, Resulting Numbers: [4, 36, 100]
Generated Node #2: [4, 36, 100] from Operation: 16+84=100
Current State: 68:[4, 36, 100], Operations: ['16+84=100']
Exploring Operation: 36-4=32, Resulting Numbers: [100, 32]
Generated Node #3: [100, 32] from Operation: 36-4=32
Current State: 68:[100, 32], Operations: ['16+84=100', '36-4=32']
Exploring Operation: 100-32=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
68,
33,
13,
19
] | 41 | [
"68-33=35",
"19-13=6",
"35+6=41"
] | Current State: 41:[68, 33, 13, 19], Operations: []
Exploring Operation: 68-33=35, Resulting Numbers: [13, 19, 35]
Generated Node #2: [13, 19, 35] from Operation: 68-33=35
Current State: 41:[13, 19, 35], Operations: ['68-33=35']
Exploring Operation: 19-13=6, Resulting Numbers: [35, 6]
Generated Node #3: [35, 6] from Operation: 19-13=6
Current State: 41:[35, 6], Operations: ['68-33=35', '19-13=6']
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
78,
18,
74,
78
] | 91 | [
"78/78=1",
"18+74=92",
"92-1=91"
] | Current State: 91:[78, 18, 74, 78], Operations: []
Exploring Operation: 78/78=1, Resulting Numbers: [18, 74, 1]
Generated Node #2: [18, 74, 1] from Operation: 78/78=1
Current State: 91:[18, 74, 1], Operations: ['78/78=1']
Exploring Operation: 18+74=92, Resulting Numbers: [1, 92]
Generated Node #3: [1, 92] from Operation: 18+74=92
Current State: 91:[1, 92], Operations: ['78/78=1', '18+74=92']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
9,
40,
93,
33
] | 12 | [
"93-9=84",
"40-33=7",
"84/7=12"
] | Current State: 12:[9, 40, 93, 33], Operations: []
Exploring Operation: 93-9=84, Resulting Numbers: [40, 33, 84]
Generated Node #2: [40, 33, 84] from Operation: 93-9=84
Current State: 12:[40, 33, 84], Operations: ['93-9=84']
Exploring Operation: 40-33=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 40-33=7
Current State: 12:[84, 7], Operations: ['93-9=84', '40-33=7']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
18,
7,
27,
8
] | 65 | [
"27-18=9",
"7*8=56",
"9+56=65"
] | Current State: 65:[18, 7, 27, 8], Operations: []
Exploring Operation: 27-18=9, Resulting Numbers: [7, 8, 9]
Generated Node #2: [7, 8, 9] from Operation: 27-18=9
Current State: 65:[7, 8, 9], Operations: ['27-18=9']
Exploring Operation: 7*8=56, Resulting Numbers: [9, 56]
Generated Node #3: [9, 56] from Operation: 7*8=56
Current State: 65:[9, 56], Operations: ['27-18=9', '7*8=56']
Exploring Operation: 9+56=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
31,
38,
87,
65
] | 29 | [
"38-31=7",
"87-65=22",
"7+22=29"
] | Current State: 29:[31, 38, 87, 65], Operations: []
Exploring Operation: 38-31=7, Resulting Numbers: [87, 65, 7]
Generated Node #2: [87, 65, 7] from Operation: 38-31=7
Current State: 29:[87, 65, 7], Operations: ['38-31=7']
Exploring Operation: 87-65=22, Resulting Numbers: [7, 22]
Generated Node #3: [7, 22] from Operation: 87-65=22
Current State: 29:[7, 22], Operations: ['38-31=7', '87-65=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
36,
23,
92,
71
] | 80 | [
"36+23=59",
"92-71=21",
"59+21=80"
] | Current State: 80:[36, 23, 92, 71], Operations: []
Exploring Operation: 36+23=59, Resulting Numbers: [92, 71, 59]
Generated Node #2: [92, 71, 59] from Operation: 36+23=59
Current State: 80:[92, 71, 59], Operations: ['36+23=59']
Exploring Operation: 92-71=21, Resulting Numbers: [59, 21]
Generated Node #3: [59, 21] from Operation: 92-71=21
Current State: 80:[59, 21], Operations: ['36+23=59', '92-71=21']
Exploring Operation: 59+21=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
32,
24,
49,
26
] | 95 | [
"32-26=6",
"24*6=144",
"144-49=95"
] | Current State: 95:[32, 24, 49, 26], Operations: []
Exploring Operation: 32-26=6, Resulting Numbers: [24, 49, 6]
Generated Node #2: [24, 49, 6] from Operation: 32-26=6
Current State: 95:[24, 49, 6], Operations: ['32-26=6']
Exploring Operation: 24*6=144, Resulting Numbers: [49, 144]
Generated Node #3: [49, 144] from Operation: 24*6=144
Current State: 95:[49, 144], Operations: ['32-26=6', '24*6=144']
Exploring Operation: 144-49=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
72,
88,
66,
33
] | 48 | [
"88-66=22",
"72*22=1584",
"1584/33=48"
] | Current State: 48:[72, 88, 66, 33], Operations: []
Exploring Operation: 88-66=22, Resulting Numbers: [72, 33, 22]
Generated Node #2: [72, 33, 22] from Operation: 88-66=22
Current State: 48:[72, 33, 22], Operations: ['88-66=22']
Exploring Operation: 72*22=1584, Resulting Numbers: [33, 1584]
Generated Node #3: [33, 1584] from Operation: 72*22=1584
Current State: 48:[33, 1584], Operations: ['88-66=22', '72*22=1584']
Exploring Operation: 1584/33=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
64,
48,
80,
9
] | 23 | [
"64+48=112",
"80+9=89",
"112-89=23"
] | Current State: 23:[64, 48, 80, 9], Operations: []
Exploring Operation: 64+48=112, Resulting Numbers: [80, 9, 112]
Generated Node #2: [80, 9, 112] from Operation: 64+48=112
Current State: 23:[80, 9, 112], Operations: ['64+48=112']
Exploring Operation: 80+9=89, Resulting Numbers: [112, 89]
Generated Node #3: [112, 89] from Operation: 80+9=89
Current State: 23:[112, 89], Operations: ['64+48=112', '80+9=89']
Exploring Operation: 112-89=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
57,
19,
99,
48
] | 83 | [
"57/19=3",
"48/3=16",
"99-16=83"
] | Current State: 83:[57, 19, 99, 48], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [99, 48, 3]
Generated Node #2: [99, 48, 3] from Operation: 57/19=3
Current State: 83:[99, 48, 3], Operations: ['57/19=3']
Exploring Operation: 48/3=16, Resulting Numbers: [99, 16]
Generated Node #3: [99, 16] from Operation: 48/3=16
Current State: 83:[99, 16], Operations: ['57/19=3', '48/3=16']
Exploring Operation: 99-16=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
16,
87,
45,
6
] | 38 | [
"87+45=132",
"132/6=22",
"16+22=38"
] | Current State: 38:[16, 87, 45, 6], Operations: []
Exploring Operation: 87+45=132, Resulting Numbers: [16, 6, 132]
Generated Node #2: [16, 6, 132] from Operation: 87+45=132
Current State: 38:[16, 6, 132], Operations: ['87+45=132']
Exploring Operation: 132/6=22, Resulting Numbers: [16, 22]
Generated Node #3: [16, 22] from Operation: 132/6=22
Current State: 38:[16, 22], Operations: ['87+45=132', '132/6=22']
Exploring Operation: 16+22=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
26,
78,
58,
29
] | 52 | [
"26+78=104",
"58/29=2",
"104/2=52"
] | Current State: 52:[26, 78, 58, 29], Operations: []
Exploring Operation: 26+78=104, Resulting Numbers: [58, 29, 104]
Generated Node #2: [58, 29, 104] from Operation: 26+78=104
Current State: 52:[58, 29, 104], Operations: ['26+78=104']
Exploring Operation: 58/29=2, Resulting Numbers: [104, 2]
Generated Node #3: [104, 2] from Operation: 58/29=2
Current State: 52:[104, 2], Operations: ['26+78=104', '58/29=2']
Exploring Operation: 104/2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
56,
14,
63,
56
] | 77 | [
"56+14=70",
"63-56=7",
"70+7=77"
] | Current State: 77:[56, 14, 63, 56], Operations: []
Exploring Operation: 56+14=70, Resulting Numbers: [63, 70]
Generated Node #2: [63, 70] from Operation: 56+14=70
Current State: 77:[63, 70], Operations: ['56+14=70']
Exploring Operation: 63-56=7, Resulting Numbers: [70, 7]
Generated Node #3: [70, 7] from Operation: 63-56=7
Current State: 77:[70, 7], Operations: ['56+14=70', '63-56=7']
Exploring Operation: 70+7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
40,
22,
44,
15
] | 53 | [
"40+15=55",
"44/22=2",
"55-2=53"
] | Current State: 53:[40, 22, 44, 15], Operations: []
Exploring Operation: 40+15=55, Resulting Numbers: [22, 44, 55]
Generated Node #2: [22, 44, 55] from Operation: 40+15=55
Current State: 53:[22, 44, 55], Operations: ['40+15=55']
Exploring Operation: 44/22=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 44/22=2
Current State: 53:[55, 2], Operations: ['40+15=55', '44/22=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
72,
97,
73,
91
] | 43 | [
"97-72=25",
"91-73=18",
"25+18=43"
] | Current State: 43:[72, 97, 73, 91], Operations: []
Exploring Operation: 97-72=25, Resulting Numbers: [73, 91, 25]
Generated Node #2: [73, 91, 25] from Operation: 97-72=25
Current State: 43:[73, 91, 25], Operations: ['97-72=25']
Exploring Operation: 91-73=18, Resulting Numbers: [25, 18]
Generated Node #3: [25, 18] from Operation: 91-73=18
Current State: 43:[25, 18], Operations: ['97-72=25', '91-73=18']
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
75,
53,
6,
14
] | 62 | [
"75-53=22",
"6*14=84",
"84-22=62"
] | Current State: 62:[75, 53, 6, 14], Operations: []
Exploring Operation: 75-53=22, Resulting Numbers: [6, 14, 22]
Generated Node #2: [6, 14, 22] from Operation: 75-53=22
Current State: 62:[6, 14, 22], Operations: ['75-53=22']
Exploring Operation: 6*14=84, Resulting Numbers: [22, 84]
Generated Node #3: [22, 84] from Operation: 6*14=84
Current State: 62:[22, 84], Operations: ['75-53=22', '6*14=84']
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
8,
78,
2,
72
] | 74 | [
"78-8=70",
"2*72=144",
"144-70=74"
] | Current State: 74:[8, 78, 2, 72], Operations: []
Exploring Operation: 78-8=70, Resulting Numbers: [2, 72, 70]
Generated Node #2: [2, 72, 70] from Operation: 78-8=70
Current State: 74:[2, 72, 70], Operations: ['78-8=70']
Exploring Operation: 2*72=144, Resulting Numbers: [70, 144]
Generated Node #3: [70, 144] from Operation: 2*72=144
Current State: 74:[70, 144], Operations: ['78-8=70', '2*72=144']
Exploring Operation: 144-70=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
46,
9,
3,
13
] | 62 | [
"46+13=59",
"9/3=3",
"59+3=62"
] | Current State: 62:[46, 9, 3, 13], Operations: []
Exploring Operation: 46+13=59, Resulting Numbers: [9, 3, 59]
Generated Node #2: [9, 3, 59] from Operation: 46+13=59
Current State: 62:[9, 3, 59], Operations: ['46+13=59']
Exploring Operation: 9/3=3, Resulting Numbers: [59, 3]
Generated Node #3: [59, 3] from Operation: 9/3=3
Current State: 62:[59, 3], Operations: ['46+13=59', '9/3=3']
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
94,
7,
67,
81
] | 92 | [
"94+81=175",
"175/7=25",
"67+25=92"
] | Current State: 92:[94, 7, 67, 81], Operations: []
Exploring Operation: 94+81=175, Resulting Numbers: [7, 67, 175]
Generated Node #2: [7, 67, 175] from Operation: 94+81=175
Current State: 92:[7, 67, 175], Operations: ['94+81=175']
Exploring Operation: 175/7=25, Resulting Numbers: [67, 25]
Generated Node #3: [67, 25] from Operation: 175/7=25
Current State: 92:[67, 25], Operations: ['94+81=175', '175/7=25']
Exploring Operation: 67+25=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
98,
85,
2,
97
] | 85 | [
"98-2=96",
"97-96=1",
"85*1=85"
] | Current State: 85:[98, 85, 2, 97], Operations: []
Exploring Operation: 98-2=96, Resulting Numbers: [85, 97, 96]
Generated Node #2: [85, 97, 96] from Operation: 98-2=96
Current State: 85:[85, 97, 96], Operations: ['98-2=96']
Exploring Operation: 97-96=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 97-96=1
Current State: 85:[85, 1], Operations: ['98-2=96', '97-96=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
44,
29,
87,
4
] | 32 | [
"87/29=3",
"4*3=12",
"44-12=32"
] | Current State: 32:[44, 29, 87, 4], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [44, 4, 3]
Generated Node #2: [44, 4, 3] from Operation: 87/29=3
Current State: 32:[44, 4, 3], Operations: ['87/29=3']
Exploring Operation: 4*3=12, Resulting Numbers: [44, 12]
Generated Node #3: [44, 12] from Operation: 4*3=12
Current State: 32:[44, 12], Operations: ['87/29=3', '4*3=12']
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
15,
97,
60,
48
] | 100 | [
"15+97=112",
"60-48=12",
"112-12=100"
] | Current State: 100:[15, 97, 60, 48], Operations: []
Exploring Operation: 15+97=112, Resulting Numbers: [60, 48, 112]
Generated Node #2: [60, 48, 112] from Operation: 15+97=112
Current State: 100:[60, 48, 112], Operations: ['15+97=112']
Exploring Operation: 60-48=12, Resulting Numbers: [112, 12]
Generated Node #3: [112, 12] from Operation: 60-48=12
Current State: 100:[112, 12], Operations: ['15+97=112', '60-48=12']
Exploring Operation: 112-12=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
4,
24,
69,
52
] | 11 | [
"4+24=28",
"69-52=17",
"28-17=11"
] | Current State: 11:[4, 24, 69, 52], Operations: []
Exploring Operation: 4+24=28, Resulting Numbers: [69, 52, 28]
Generated Node #2: [69, 52, 28] from Operation: 4+24=28
Current State: 11:[69, 52, 28], Operations: ['4+24=28']
Exploring Operation: 69-52=17, Resulting Numbers: [28, 17]
Generated Node #3: [28, 17] from Operation: 69-52=17
Current State: 11:[28, 17], Operations: ['4+24=28', '69-52=17']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
42,
90,
57,
49
] | 55 | [
"57-42=15",
"90/15=6",
"49+6=55"
] | Current State: 55:[42, 90, 57, 49], Operations: []
Exploring Operation: 57-42=15, Resulting Numbers: [90, 49, 15]
Generated Node #2: [90, 49, 15] from Operation: 57-42=15
Current State: 55:[90, 49, 15], Operations: ['57-42=15']
Exploring Operation: 90/15=6, Resulting Numbers: [49, 6]
Generated Node #3: [49, 6] from Operation: 90/15=6
Current State: 55:[49, 6], Operations: ['57-42=15', '90/15=6']
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
30,
7,
3,
98
] | 45 | [
"30+7=37",
"98+37=135",
"135/3=45"
] | Current State: 45:[30, 7, 3, 98], Operations: []
Exploring Operation: 30+7=37, Resulting Numbers: [3, 98, 37]
Generated Node #2: [3, 98, 37] from Operation: 30+7=37
Current State: 45:[3, 98, 37], Operations: ['30+7=37']
Exploring Operation: 98+37=135, Resulting Numbers: [3, 135]
Generated Node #3: [3, 135] from Operation: 98+37=135
Current State: 45:[3, 135], Operations: ['30+7=37', '98+37=135']
Exploring Operation: 135/3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
30,
27,
45,
49
] | 99 | [
"30*45=1350",
"1350/27=50",
"49+50=99"
] | Current State: 99:[30, 27, 45, 49], Operations: []
Exploring Operation: 30*45=1350, Resulting Numbers: [27, 49, 1350]
Generated Node #2: [27, 49, 1350] from Operation: 30*45=1350
Current State: 99:[27, 49, 1350], Operations: ['30*45=1350']
Exploring Operation: 1350/27=50, Resulting Numbers: [49, 50]
Generated Node #3: [49, 50] from Operation: 1350/27=50
Current State: 99:[49, 50], Operations: ['30*45=1350', '1350/27=50']
Exploring Operation: 49+50=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
12,
68,
44,
8
] | 16 | [
"12*44=528",
"68*8=544",
"544-528=16"
] | Current State: 16:[12, 68, 44, 8], Operations: []
Exploring Operation: 12*44=528, Resulting Numbers: [68, 8, 528]
Generated Node #2: [68, 8, 528] from Operation: 12*44=528
Current State: 16:[68, 8, 528], Operations: ['12*44=528']
Exploring Operation: 68*8=544, Resulting Numbers: [528, 544]
Generated Node #3: [528, 544] from Operation: 68*8=544
Current State: 16:[528, 544], Operations: ['12*44=528', '68*8=544']
Exploring Operation: 544-528=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
62,
3,
33,
1
] | 73 | [
"62*1=62",
"33/3=11",
"62+11=73"
] | Current State: 73:[62, 3, 33, 1], Operations: []
Exploring Operation: 62*1=62, Resulting Numbers: [3, 33, 62]
Generated Node #2: [3, 33, 62] from Operation: 62*1=62
Current State: 73:[3, 33, 62], Operations: ['62*1=62']
Exploring Operation: 33/3=11, Resulting Numbers: [62, 11]
Generated Node #3: [62, 11] from Operation: 33/3=11
Current State: 73:[62, 11], Operations: ['62*1=62', '33/3=11']
Exploring Operation: 62+11=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
42,
25,
12,
38
] | 41 | [
"42+25=67",
"38-12=26",
"67-26=41"
] | Current State: 41:[42, 25, 12, 38], Operations: []
Exploring Operation: 42+25=67, Resulting Numbers: [12, 38, 67]
Generated Node #2: [12, 38, 67] from Operation: 42+25=67
Current State: 41:[12, 38, 67], Operations: ['42+25=67']
Exploring Operation: 38-12=26, Resulting Numbers: [67, 26]
Generated Node #3: [67, 26] from Operation: 38-12=26
Current State: 41:[67, 26], Operations: ['42+25=67', '38-12=26']
Exploring Operation: 67-26=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
21,
15,
64,
41
] | 29 | [
"21-15=6",
"64-41=23",
"6+23=29"
] | Current State: 29:[21, 15, 64, 41], Operations: []
Exploring Operation: 21-15=6, Resulting Numbers: [64, 41, 6]
Generated Node #2: [64, 41, 6] from Operation: 21-15=6
Current State: 29:[64, 41, 6], Operations: ['21-15=6']
Exploring Operation: 64-41=23, Resulting Numbers: [6, 23]
Generated Node #3: [6, 23] from Operation: 64-41=23
Current State: 29:[6, 23], Operations: ['21-15=6', '64-41=23']
Exploring Operation: 6+23=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
71,
68,
76,
20
] | 17 | [
"76-71=5",
"68*5=340",
"340/20=17"
] | Current State: 17:[71, 68, 76, 20], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [68, 20, 5]
Generated Node #2: [68, 20, 5] from Operation: 76-71=5
Current State: 17:[68, 20, 5], Operations: ['76-71=5']
Exploring Operation: 68*5=340, Resulting Numbers: [20, 340]
Generated Node #3: [20, 340] from Operation: 68*5=340
Current State: 17:[20, 340], Operations: ['76-71=5', '68*5=340']
Exploring Operation: 340/20=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
7,
36,
48,
31
] | 11 | [
"7+48=55",
"36-31=5",
"55/5=11"
] | Current State: 11:[7, 36, 48, 31], Operations: []
Exploring Operation: 7+48=55, Resulting Numbers: [36, 31, 55]
Generated Node #2: [36, 31, 55] from Operation: 7+48=55
Current State: 11:[36, 31, 55], Operations: ['7+48=55']
Exploring Operation: 36-31=5, Resulting Numbers: [55, 5]
Generated Node #3: [55, 5] from Operation: 36-31=5
Current State: 11:[55, 5], Operations: ['7+48=55', '36-31=5']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
88,
16,
1,
22
] | 83 | [
"88+16=104",
"22-1=21",
"104-21=83"
] | Current State: 83:[88, 16, 1, 22], Operations: []
Exploring Operation: 88+16=104, Resulting Numbers: [1, 22, 104]
Generated Node #2: [1, 22, 104] from Operation: 88+16=104
Current State: 83:[1, 22, 104], Operations: ['88+16=104']
Exploring Operation: 22-1=21, Resulting Numbers: [104, 21]
Generated Node #3: [104, 21] from Operation: 22-1=21
Current State: 83:[104, 21], Operations: ['88+16=104', '22-1=21']
Exploring Operation: 104-21=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
9,
39,
61,
16
] | 34 | [
"61-16=45",
"45/9=5",
"39-5=34"
] | Current State: 34:[9, 39, 61, 16], Operations: []
Exploring Operation: 61-16=45, Resulting Numbers: [9, 39, 45]
Generated Node #2: [9, 39, 45] from Operation: 61-16=45
Current State: 34:[9, 39, 45], Operations: ['61-16=45']
Exploring Operation: 45/9=5, Resulting Numbers: [39, 5]
Generated Node #3: [39, 5] from Operation: 45/9=5
Current State: 34:[39, 5], Operations: ['61-16=45', '45/9=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
73,
1,
47,
46
] | 73 | [
"73+1=74",
"47-46=1",
"74-1=73"
] | Current State: 73:[73, 1, 47, 46], Operations: []
Exploring Operation: 73+1=74, Resulting Numbers: [47, 46, 74]
Generated Node #2: [47, 46, 74] from Operation: 73+1=74
Current State: 73:[47, 46, 74], Operations: ['73+1=74']
Exploring Operation: 47-46=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 47-46=1
Current State: 73:[74, 1], Operations: ['73+1=74', '47-46=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
41,
43,
86,
6
] | 98 | [
"43-41=2",
"6*2=12",
"86+12=98"
] | Current State: 98:[41, 43, 86, 6], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [86, 6, 2]
Generated Node #2: [86, 6, 2] from Operation: 43-41=2
Current State: 98:[86, 6, 2], Operations: ['43-41=2']
Exploring Operation: 6*2=12, Resulting Numbers: [86, 12]
Generated Node #3: [86, 12] from Operation: 6*2=12
Current State: 98:[86, 12], Operations: ['43-41=2', '6*2=12']
Exploring Operation: 86+12=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
10,
71,
67,
42
] | 86 | [
"71-10=61",
"67-42=25",
"61+25=86"
] | Current State: 86:[10, 71, 67, 42], Operations: []
Exploring Operation: 71-10=61, Resulting Numbers: [67, 42, 61]
Generated Node #2: [67, 42, 61] from Operation: 71-10=61
Current State: 86:[67, 42, 61], Operations: ['71-10=61']
Exploring Operation: 67-42=25, Resulting Numbers: [61, 25]
Generated Node #3: [61, 25] from Operation: 67-42=25
Current State: 86:[61, 25], Operations: ['71-10=61', '67-42=25']
Exploring Operation: 61+25=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
89,
68,
37,
3
] | 78 | [
"89+37=126",
"68*3=204",
"204-126=78"
] | Current State: 78:[89, 68, 37, 3], Operations: []
Exploring Operation: 89+37=126, Resulting Numbers: [68, 3, 126]
Generated Node #2: [68, 3, 126] from Operation: 89+37=126
Current State: 78:[68, 3, 126], Operations: ['89+37=126']
Exploring Operation: 68*3=204, Resulting Numbers: [126, 204]
Generated Node #3: [126, 204] from Operation: 68*3=204
Current State: 78:[126, 204], Operations: ['89+37=126', '68*3=204']
Exploring Operation: 204-126=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
67,
59,
91,
20
] | 79 | [
"67-59=8",
"91-20=71",
"8+71=79"
] | Current State: 79:[67, 59, 91, 20], Operations: []
Exploring Operation: 67-59=8, Resulting Numbers: [91, 20, 8]
Generated Node #2: [91, 20, 8] from Operation: 67-59=8
Current State: 79:[91, 20, 8], Operations: ['67-59=8']
Exploring Operation: 91-20=71, Resulting Numbers: [8, 71]
Generated Node #3: [8, 71] from Operation: 91-20=71
Current State: 79:[8, 71], Operations: ['67-59=8', '91-20=71']
Exploring Operation: 8+71=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
60,
93,
38,
3
] | 74 | [
"93-60=33",
"38+3=41",
"33+41=74"
] | Current State: 74:[60, 93, 38, 3], Operations: []
Exploring Operation: 93-60=33, Resulting Numbers: [38, 3, 33]
Generated Node #2: [38, 3, 33] from Operation: 93-60=33
Current State: 74:[38, 3, 33], Operations: ['93-60=33']
Exploring Operation: 38+3=41, Resulting Numbers: [33, 41]
Generated Node #3: [33, 41] from Operation: 38+3=41
Current State: 74:[33, 41], Operations: ['93-60=33', '38+3=41']
Exploring Operation: 33+41=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
74,
76,
84,
10
] | 96 | [
"76-74=2",
"84+10=94",
"2+94=96"
] | Current State: 96:[74, 76, 84, 10], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [84, 10, 2]
Generated Node #2: [84, 10, 2] from Operation: 76-74=2
Current State: 96:[84, 10, 2], Operations: ['76-74=2']
Exploring Operation: 84+10=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 84+10=94
Current State: 96:[2, 94], Operations: ['76-74=2', '84+10=94']
Exploring Operation: 2+94=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
92,
84,
35,
7
] | 13 | [
"92-84=8",
"35/7=5",
"8+5=13"
] | Current State: 13:[92, 84, 35, 7], Operations: []
Exploring Operation: 92-84=8, Resulting Numbers: [35, 7, 8]
Generated Node #2: [35, 7, 8] from Operation: 92-84=8
Current State: 13:[35, 7, 8], Operations: ['92-84=8']
Exploring Operation: 35/7=5, Resulting Numbers: [8, 5]
Generated Node #3: [8, 5] from Operation: 35/7=5
Current State: 13:[8, 5], Operations: ['92-84=8', '35/7=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
83,
11,
34,
83
] | 11 | [
"83-83=0",
"34*0=0",
"11+0=11"
] | Current State: 11:[83, 11, 34, 83], Operations: []
Exploring Operation: 83-83=0, Resulting Numbers: [11, 34, 0]
Generated Node #2: [11, 34, 0] from Operation: 83-83=0
Current State: 11:[11, 34, 0], Operations: ['83-83=0']
Exploring Operation: 34*0=0, Resulting Numbers: [11, 0]
Generated Node #3: [11, 0] from Operation: 34*0=0
Current State: 11:[11, 0], Operations: ['83-83=0', '34*0=0']
Exploring Operation: 11+0=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
36,
43,
90,
93
] | 82 | [
"36+43=79",
"93-90=3",
"79+3=82"
] | Current State: 82:[36, 43, 90, 93], Operations: []
Exploring Operation: 36+43=79, Resulting Numbers: [90, 93, 79]
Generated Node #2: [90, 93, 79] from Operation: 36+43=79
Current State: 82:[90, 93, 79], Operations: ['36+43=79']
Exploring Operation: 93-90=3, Resulting Numbers: [79, 3]
Generated Node #3: [79, 3] from Operation: 93-90=3
Current State: 82:[79, 3], Operations: ['36+43=79', '93-90=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
19,
66,
51,
15
] | 69 | [
"19*51=969",
"66+969=1035",
"1035/15=69"
] | Current State: 69:[19, 66, 51, 15], Operations: []
Exploring Operation: 19*51=969, Resulting Numbers: [66, 15, 969]
Generated Node #2: [66, 15, 969] from Operation: 19*51=969
Current State: 69:[66, 15, 969], Operations: ['19*51=969']
Exploring Operation: 66+969=1035, Resulting Numbers: [15, 1035]
Generated Node #3: [15, 1035] from Operation: 66+969=1035
Current State: 69:[15, 1035], Operations: ['19*51=969', '66+969=1035']
Exploring Operation: 1035/15=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
73,
93,
14,
31
] | 37 | [
"93-73=20",
"31-14=17",
"20+17=37"
] | Current State: 37:[73, 93, 14, 31], Operations: []
Exploring Operation: 93-73=20, Resulting Numbers: [14, 31, 20]
Generated Node #2: [14, 31, 20] from Operation: 93-73=20
Current State: 37:[14, 31, 20], Operations: ['93-73=20']
Exploring Operation: 31-14=17, Resulting Numbers: [20, 17]
Generated Node #3: [20, 17] from Operation: 31-14=17
Current State: 37:[20, 17], Operations: ['93-73=20', '31-14=17']
Exploring Operation: 20+17=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
87,
7,
3,
51
] | 32 | [
"87-7=80",
"51-3=48",
"80-48=32"
] | Current State: 32:[87, 7, 3, 51], Operations: []
Exploring Operation: 87-7=80, Resulting Numbers: [3, 51, 80]
Generated Node #2: [3, 51, 80] from Operation: 87-7=80
Current State: 32:[3, 51, 80], Operations: ['87-7=80']
Exploring Operation: 51-3=48, Resulting Numbers: [80, 48]
Generated Node #3: [80, 48] from Operation: 51-3=48
Current State: 32:[80, 48], Operations: ['87-7=80', '51-3=48']
Exploring Operation: 80-48=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
13,
50,
79,
35
] | 81 | [
"50-13=37",
"79-35=44",
"37+44=81"
] | Current State: 81:[13, 50, 79, 35], Operations: []
Exploring Operation: 50-13=37, Resulting Numbers: [79, 35, 37]
Generated Node #2: [79, 35, 37] from Operation: 50-13=37
Current State: 81:[79, 35, 37], Operations: ['50-13=37']
Exploring Operation: 79-35=44, Resulting Numbers: [37, 44]
Generated Node #3: [37, 44] from Operation: 79-35=44
Current State: 81:[37, 44], Operations: ['50-13=37', '79-35=44']
Exploring Operation: 37+44=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
72,
3,
19,
38
] | 88 | [
"72-3=69",
"38-19=19",
"69+19=88"
] | Current State: 88:[72, 3, 19, 38], Operations: []
Exploring Operation: 72-3=69, Resulting Numbers: [19, 38, 69]
Generated Node #2: [19, 38, 69] from Operation: 72-3=69
Current State: 88:[19, 38, 69], Operations: ['72-3=69']
Exploring Operation: 38-19=19, Resulting Numbers: [69, 19]
Generated Node #3: [69, 19] from Operation: 38-19=19
Current State: 88:[69, 19], Operations: ['72-3=69', '38-19=19']
Exploring Operation: 69+19=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
41,
63,
45,
52
] | 76 | [
"45-41=4",
"52/4=13",
"63+13=76"
] | Current State: 76:[41, 63, 45, 52], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [63, 52, 4]
Generated Node #2: [63, 52, 4] from Operation: 45-41=4
Current State: 76:[63, 52, 4], Operations: ['45-41=4']
Exploring Operation: 52/4=13, Resulting Numbers: [63, 13]
Generated Node #3: [63, 13] from Operation: 52/4=13
Current State: 76:[63, 13], Operations: ['45-41=4', '52/4=13']
Exploring Operation: 63+13=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
3,
81,
13,
34
] | 99 | [
"81-3=78",
"34-13=21",
"78+21=99"
] | Current State: 99:[3, 81, 13, 34], Operations: []
Exploring Operation: 81-3=78, Resulting Numbers: [13, 34, 78]
Generated Node #2: [13, 34, 78] from Operation: 81-3=78
Current State: 99:[13, 34, 78], Operations: ['81-3=78']
Exploring Operation: 34-13=21, Resulting Numbers: [78, 21]
Generated Node #3: [78, 21] from Operation: 34-13=21
Current State: 99:[78, 21], Operations: ['81-3=78', '34-13=21']
Exploring Operation: 78+21=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
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