nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
92,
50,
72,
75
] | 58 | [
"75-72=3",
"50*3=150",
"150-92=58"
] | Current State: 58:[92, 50, 72, 75], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [92, 50, 3]
Generated Node #2: [92, 50, 3] from Operation: 75-72=3
Current State: 58:[92, 50, 3], Operations: ['75-72=3']
Exploring Operation: 50*3=150, Resulting Numbers: [92, 150]
Generated Node #3: [92, 150] from Operation: 50*3=150
Current State: 58:[92, 150], Operations: ['75-72=3', '50*3=150']
Exploring Operation: 150-92=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
14,
12,
16,
51
] | 37 | [
"14-12=2",
"51-16=35",
"2+35=37"
] | Current State: 37:[14, 12, 16, 51], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [16, 51, 2]
Generated Node #2: [16, 51, 2] from Operation: 14-12=2
Current State: 37:[16, 51, 2], Operations: ['14-12=2']
Exploring Operation: 51-16=35, Resulting Numbers: [2, 35]
Generated Node #3: [2, 35] from Operation: 51-16=35
Current State: 37:[2, 35], Operations: ['14-12=2', '51-16=35']
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
69,
68,
95,
4
] | 39 | [
"95-68=27",
"4*27=108",
"108-69=39"
] | Current State: 39:[69, 68, 95, 4], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [69, 4, 27]
Generated Node #2: [69, 4, 27] from Operation: 95-68=27
Current State: 39:[69, 4, 27], Operations: ['95-68=27']
Exploring Operation: 4*27=108, Resulting Numbers: [69, 108]
Generated Node #3: [69, 108] from Operation: 4*27=108
Current State: 39:[69, 108], Operations: ['95-68=27', '4*27=108']
Exploring Operation: 108-69=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
34,
82,
69,
78
] | 31 | [
"34+82=116",
"69+78=147",
"147-116=31"
] | Current State: 31:[34, 82, 69, 78], Operations: []
Exploring Operation: 34+82=116, Resulting Numbers: [69, 78, 116]
Generated Node #2: [69, 78, 116] from Operation: 34+82=116
Current State: 31:[69, 78, 116], Operations: ['34+82=116']
Exploring Operation: 69+78=147, Resulting Numbers: [116, 147]
Generated Node #3: [116, 147] from Operation: 69+78=147
Current State: 31:[116, 147], Operations: ['34+82=116', '69+78=147']
Exploring Operation: 147-116=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
57,
6,
5,
86
] | 28 | [
"57+6=63",
"5+86=91",
"91-63=28"
] | Current State: 28:[57, 6, 5, 86], Operations: []
Exploring Operation: 57+6=63, Resulting Numbers: [5, 86, 63]
Generated Node #2: [5, 86, 63] from Operation: 57+6=63
Current State: 28:[5, 86, 63], Operations: ['57+6=63']
Exploring Operation: 5+86=91, Resulting Numbers: [63, 91]
Generated Node #3: [63, 91] from Operation: 5+86=91
Current State: 28:[63, 91], Operations: ['57+6=63', '5+86=91']
Exploring Operation: 91-63=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
95,
14,
69,
55
] | 67 | [
"95-14=81",
"69-55=14",
"81-14=67"
] | Current State: 67:[95, 14, 69, 55], Operations: []
Exploring Operation: 95-14=81, Resulting Numbers: [69, 55, 81]
Generated Node #2: [69, 55, 81] from Operation: 95-14=81
Current State: 67:[69, 55, 81], Operations: ['95-14=81']
Exploring Operation: 69-55=14, Resulting Numbers: [81, 14]
Generated Node #3: [81, 14] from Operation: 69-55=14
Current State: 67:[81, 14], Operations: ['95-14=81', '69-55=14']
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
91,
39,
11,
7
] | 56 | [
"91-39=52",
"11-7=4",
"52+4=56"
] | Current State: 56:[91, 39, 11, 7], Operations: []
Exploring Operation: 91-39=52, Resulting Numbers: [11, 7, 52]
Generated Node #2: [11, 7, 52] from Operation: 91-39=52
Current State: 56:[11, 7, 52], Operations: ['91-39=52']
Exploring Operation: 11-7=4, Resulting Numbers: [52, 4]
Generated Node #3: [52, 4] from Operation: 11-7=4
Current State: 56:[52, 4], Operations: ['91-39=52', '11-7=4']
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
4,
20,
6,
37
] | 28 | [
"4*37=148",
"20*6=120",
"148-120=28"
] | Current State: 28:[4, 20, 6, 37], Operations: []
Exploring Operation: 4*37=148, Resulting Numbers: [20, 6, 148]
Generated Node #2: [20, 6, 148] from Operation: 4*37=148
Current State: 28:[20, 6, 148], Operations: ['4*37=148']
Exploring Operation: 20*6=120, Resulting Numbers: [148, 120]
Generated Node #3: [148, 120] from Operation: 20*6=120
Current State: 28:[148, 120], Operations: ['4*37=148', '20*6=120']
Exploring Operation: 148-120=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
22,
47,
12,
52
] | 38 | [
"52-47=5",
"12*5=60",
"60-22=38"
] | Current State: 38:[22, 47, 12, 52], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [22, 12, 5]
Generated Node #2: [22, 12, 5] from Operation: 52-47=5
Current State: 38:[22, 12, 5], Operations: ['52-47=5']
Exploring Operation: 12*5=60, Resulting Numbers: [22, 60]
Generated Node #3: [22, 60] from Operation: 12*5=60
Current State: 38:[22, 60], Operations: ['52-47=5', '12*5=60']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
55,
74,
36,
30
] | 60 | [
"74+36=110",
"110/55=2",
"30*2=60"
] | Current State: 60:[55, 74, 36, 30], Operations: []
Exploring Operation: 74+36=110, Resulting Numbers: [55, 30, 110]
Generated Node #2: [55, 30, 110] from Operation: 74+36=110
Current State: 60:[55, 30, 110], Operations: ['74+36=110']
Exploring Operation: 110/55=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 110/55=2
Current State: 60:[30, 2], Operations: ['74+36=110', '110/55=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
53,
45,
47,
47
] | 97 | [
"53+45=98",
"47/47=1",
"98-1=97"
] | Current State: 97:[53, 45, 47, 47], Operations: []
Exploring Operation: 53+45=98, Resulting Numbers: [47, 47, 98]
Generated Node #2: [47, 47, 98] from Operation: 53+45=98
Current State: 97:[47, 47, 98], Operations: ['53+45=98']
Exploring Operation: 47/47=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 47/47=1
Current State: 97:[98, 1], Operations: ['53+45=98', '47/47=1']
Exploring Operation: 98-1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
84,
59,
14,
69
] | 30 | [
"84-59=25",
"69-14=55",
"55-25=30"
] | Current State: 30:[84, 59, 14, 69], Operations: []
Exploring Operation: 84-59=25, Resulting Numbers: [14, 69, 25]
Generated Node #2: [14, 69, 25] from Operation: 84-59=25
Current State: 30:[14, 69, 25], Operations: ['84-59=25']
Exploring Operation: 69-14=55, Resulting Numbers: [25, 55]
Generated Node #3: [25, 55] from Operation: 69-14=55
Current State: 30:[25, 55], Operations: ['84-59=25', '69-14=55']
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
99,
29,
70,
61
] | 61 | [
"99-29=70",
"70+61=131",
"131-70=61"
] | Current State: 61:[99, 29, 70, 61], Operations: []
Exploring Operation: 99-29=70, Resulting Numbers: [70, 61, 70]
Generated Node #2: [70, 61, 70] from Operation: 99-29=70
Current State: 61:[70, 61, 70], Operations: ['99-29=70']
Exploring Operation: 70+61=131, Resulting Numbers: [131]
131,61 equal: Goal Reached
Exploring Operation: 131-70=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
44,
64,
90,
82
] | 100 | [
"44+64=108",
"90-82=8",
"108-8=100"
] | Current State: 100:[44, 64, 90, 82], Operations: []
Exploring Operation: 44+64=108, Resulting Numbers: [90, 82, 108]
Generated Node #2: [90, 82, 108] from Operation: 44+64=108
Current State: 100:[90, 82, 108], Operations: ['44+64=108']
Exploring Operation: 90-82=8, Resulting Numbers: [108, 8]
Generated Node #3: [108, 8] from Operation: 90-82=8
Current State: 100:[108, 8], Operations: ['44+64=108', '90-82=8']
Exploring Operation: 108-8=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
1,
36,
44,
2
] | 54 | [
"1+44=45",
"2*45=90",
"90-36=54"
] | Current State: 54:[1, 36, 44, 2], Operations: []
Exploring Operation: 1+44=45, Resulting Numbers: [36, 2, 45]
Generated Node #2: [36, 2, 45] from Operation: 1+44=45
Current State: 54:[36, 2, 45], Operations: ['1+44=45']
Exploring Operation: 2*45=90, Resulting Numbers: [36, 90]
Generated Node #3: [36, 90] from Operation: 2*45=90
Current State: 54:[36, 90], Operations: ['1+44=45', '2*45=90']
Exploring Operation: 90-36=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
39,
60,
29,
27
] | 23 | [
"60-39=21",
"29-27=2",
"21+2=23"
] | Current State: 23:[39, 60, 29, 27], Operations: []
Exploring Operation: 60-39=21, Resulting Numbers: [29, 27, 21]
Generated Node #2: [29, 27, 21] from Operation: 60-39=21
Current State: 23:[29, 27, 21], Operations: ['60-39=21']
Exploring Operation: 29-27=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 29-27=2
Current State: 23:[21, 2], Operations: ['60-39=21', '29-27=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
24,
3,
67,
48
] | 81 | [
"67-24=43",
"3*43=129",
"129-48=81"
] | Current State: 81:[24, 3, 67, 48], Operations: []
Exploring Operation: 67-24=43, Resulting Numbers: [3, 48, 43]
Generated Node #2: [3, 48, 43] from Operation: 67-24=43
Current State: 81:[3, 48, 43], Operations: ['67-24=43']
Exploring Operation: 3*43=129, Resulting Numbers: [48, 129]
Generated Node #3: [48, 129] from Operation: 3*43=129
Current State: 81:[48, 129], Operations: ['67-24=43', '3*43=129']
Exploring Operation: 129-48=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
15,
39,
95,
77
] | 72 | [
"15+39=54",
"95-77=18",
"54+18=72"
] | Current State: 72:[15, 39, 95, 77], Operations: []
Exploring Operation: 15+39=54, Resulting Numbers: [95, 77, 54]
Generated Node #2: [95, 77, 54] from Operation: 15+39=54
Current State: 72:[95, 77, 54], Operations: ['15+39=54']
Exploring Operation: 95-77=18, Resulting Numbers: [54, 18]
Generated Node #3: [54, 18] from Operation: 95-77=18
Current State: 72:[54, 18], Operations: ['15+39=54', '95-77=18']
Exploring Operation: 54+18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
69,
47,
29,
6
] | 58 | [
"69+47=116",
"29*6=174",
"174-116=58"
] | Current State: 58:[69, 47, 29, 6], Operations: []
Exploring Operation: 69+47=116, Resulting Numbers: [29, 6, 116]
Generated Node #2: [29, 6, 116] from Operation: 69+47=116
Current State: 58:[29, 6, 116], Operations: ['69+47=116']
Exploring Operation: 29*6=174, Resulting Numbers: [116, 174]
Generated Node #3: [116, 174] from Operation: 29*6=174
Current State: 58:[116, 174], Operations: ['69+47=116', '29*6=174']
Exploring Operation: 174-116=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
47,
40,
36,
64
] | 31 | [
"40-36=4",
"64/4=16",
"47-16=31"
] | Current State: 31:[47, 40, 36, 64], Operations: []
Exploring Operation: 40-36=4, Resulting Numbers: [47, 64, 4]
Generated Node #2: [47, 64, 4] from Operation: 40-36=4
Current State: 31:[47, 64, 4], Operations: ['40-36=4']
Exploring Operation: 64/4=16, Resulting Numbers: [47, 16]
Generated Node #3: [47, 16] from Operation: 64/4=16
Current State: 31:[47, 16], Operations: ['40-36=4', '64/4=16']
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
40,
56,
45,
47
] | 14 | [
"56-40=16",
"47-45=2",
"16-2=14"
] | Current State: 14:[40, 56, 45, 47], Operations: []
Exploring Operation: 56-40=16, Resulting Numbers: [45, 47, 16]
Generated Node #2: [45, 47, 16] from Operation: 56-40=16
Current State: 14:[45, 47, 16], Operations: ['56-40=16']
Exploring Operation: 47-45=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 47-45=2
Current State: 14:[16, 2], Operations: ['56-40=16', '47-45=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
55,
68,
13,
92
] | 92 | [
"68-55=13",
"13+92=105",
"105-13=92"
] | Current State: 92:[55, 68, 13, 92], Operations: []
Exploring Operation: 68-55=13, Resulting Numbers: [13, 92, 13]
Generated Node #2: [13, 92, 13] from Operation: 68-55=13
Current State: 92:[13, 92, 13], Operations: ['68-55=13']
Exploring Operation: 13+92=105, Resulting Numbers: [105]
105,92 equal: Goal Reached
Exploring Operation: 105-13=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
49,
21,
17,
10
] | 89 | [
"21-17=4",
"10*4=40",
"49+40=89"
] | Current State: 89:[49, 21, 17, 10], Operations: []
Exploring Operation: 21-17=4, Resulting Numbers: [49, 10, 4]
Generated Node #2: [49, 10, 4] from Operation: 21-17=4
Current State: 89:[49, 10, 4], Operations: ['21-17=4']
Exploring Operation: 10*4=40, Resulting Numbers: [49, 40]
Generated Node #3: [49, 40] from Operation: 10*4=40
Current State: 89:[49, 40], Operations: ['21-17=4', '10*4=40']
Exploring Operation: 49+40=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
87,
51,
56,
33
] | 78 | [
"56-51=5",
"33*5=165",
"165-87=78"
] | Current State: 78:[87, 51, 56, 33], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [87, 33, 5]
Generated Node #2: [87, 33, 5] from Operation: 56-51=5
Current State: 78:[87, 33, 5], Operations: ['56-51=5']
Exploring Operation: 33*5=165, Resulting Numbers: [87, 165]
Generated Node #3: [87, 165] from Operation: 33*5=165
Current State: 78:[87, 165], Operations: ['56-51=5', '33*5=165']
Exploring Operation: 165-87=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
17,
56,
71,
56
] | 53 | [
"71-17=54",
"56/56=1",
"54-1=53"
] | Current State: 53:[17, 56, 71, 56], Operations: []
Exploring Operation: 71-17=54, Resulting Numbers: [56, 56, 54]
Generated Node #2: [56, 56, 54] from Operation: 71-17=54
Current State: 53:[56, 56, 54], Operations: ['71-17=54']
Exploring Operation: 56/56=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 56/56=1
Current State: 53:[54, 1], Operations: ['71-17=54', '56/56=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
14,
13,
36,
33
] | 68 | [
"14-13=1",
"36+33=69",
"69-1=68"
] | Current State: 68:[14, 13, 36, 33], Operations: []
Exploring Operation: 14-13=1, Resulting Numbers: [36, 33, 1]
Generated Node #2: [36, 33, 1] from Operation: 14-13=1
Current State: 68:[36, 33, 1], Operations: ['14-13=1']
Exploring Operation: 36+33=69, Resulting Numbers: [1, 69]
Generated Node #3: [1, 69] from Operation: 36+33=69
Current State: 68:[1, 69], Operations: ['14-13=1', '36+33=69']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
9,
39,
9,
5
] | 16 | [
"39-9=30",
"9+5=14",
"30-14=16"
] | Current State: 16:[9, 39, 9, 5], Operations: []
Exploring Operation: 39-9=30, Resulting Numbers: [5, 30]
Generated Node #2: [5, 30] from Operation: 39-9=30
Current State: 16:[5, 30], Operations: ['39-9=30']
Exploring Operation: 9+5=14, Resulting Numbers: [30, 14]
Generated Node #3: [30, 14] from Operation: 9+5=14
Current State: 16:[30, 14], Operations: ['39-9=30', '9+5=14']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
26,
83,
27,
59
] | 78 | [
"83-27=56",
"59-56=3",
"26*3=78"
] | Current State: 78:[26, 83, 27, 59], Operations: []
Exploring Operation: 83-27=56, Resulting Numbers: [26, 59, 56]
Generated Node #2: [26, 59, 56] from Operation: 83-27=56
Current State: 78:[26, 59, 56], Operations: ['83-27=56']
Exploring Operation: 59-56=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 59-56=3
Current State: 78:[26, 3], Operations: ['83-27=56', '59-56=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
48,
55,
24,
21
] | 78 | [
"48/24=2",
"55+21=76",
"2+76=78"
] | Current State: 78:[48, 55, 24, 21], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [55, 21, 2]
Generated Node #2: [55, 21, 2] from Operation: 48/24=2
Current State: 78:[55, 21, 2], Operations: ['48/24=2']
Exploring Operation: 55+21=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 55+21=76
Current State: 78:[2, 76], Operations: ['48/24=2', '55+21=76']
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
48,
97,
24,
10
] | 77 | [
"48/24=2",
"10*2=20",
"97-20=77"
] | Current State: 77:[48, 97, 24, 10], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [97, 10, 2]
Generated Node #2: [97, 10, 2] from Operation: 48/24=2
Current State: 77:[97, 10, 2], Operations: ['48/24=2']
Exploring Operation: 10*2=20, Resulting Numbers: [97, 20]
Generated Node #3: [97, 20] from Operation: 10*2=20
Current State: 77:[97, 20], Operations: ['48/24=2', '10*2=20']
Exploring Operation: 97-20=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
24,
64,
4,
99
] | 29 | [
"24/4=6",
"99-64=35",
"35-6=29"
] | Current State: 29:[24, 64, 4, 99], Operations: []
Exploring Operation: 24/4=6, Resulting Numbers: [64, 99, 6]
Generated Node #2: [64, 99, 6] from Operation: 24/4=6
Current State: 29:[64, 99, 6], Operations: ['24/4=6']
Exploring Operation: 99-64=35, Resulting Numbers: [6, 35]
Generated Node #3: [6, 35] from Operation: 99-64=35
Current State: 29:[6, 35], Operations: ['24/4=6', '99-64=35']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
24,
12,
9,
9
] | 35 | [
"24+12=36",
"9/9=1",
"36-1=35"
] | Current State: 35:[24, 12, 9, 9], Operations: []
Exploring Operation: 24+12=36, Resulting Numbers: [9, 9, 36]
Generated Node #2: [9, 9, 36] from Operation: 24+12=36
Current State: 35:[9, 9, 36], Operations: ['24+12=36']
Exploring Operation: 9/9=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 9/9=1
Current State: 35:[36, 1], Operations: ['24+12=36', '9/9=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
47,
90,
29,
10
] | 27 | [
"47-29=18",
"90/10=9",
"18+9=27"
] | Current State: 27:[47, 90, 29, 10], Operations: []
Exploring Operation: 47-29=18, Resulting Numbers: [90, 10, 18]
Generated Node #2: [90, 10, 18] from Operation: 47-29=18
Current State: 27:[90, 10, 18], Operations: ['47-29=18']
Exploring Operation: 90/10=9, Resulting Numbers: [18, 9]
Generated Node #3: [18, 9] from Operation: 90/10=9
Current State: 27:[18, 9], Operations: ['47-29=18', '90/10=9']
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
2,
97,
54,
8
] | 78 | [
"54/2=27",
"97+8=105",
"105-27=78"
] | Current State: 78:[2, 97, 54, 8], Operations: []
Exploring Operation: 54/2=27, Resulting Numbers: [97, 8, 27]
Generated Node #2: [97, 8, 27] from Operation: 54/2=27
Current State: 78:[97, 8, 27], Operations: ['54/2=27']
Exploring Operation: 97+8=105, Resulting Numbers: [27, 105]
Generated Node #3: [27, 105] from Operation: 97+8=105
Current State: 78:[27, 105], Operations: ['54/2=27', '97+8=105']
Exploring Operation: 105-27=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
68,
5,
75,
7
] | 60 | [
"68+7=75",
"75/5=15",
"75-15=60"
] | Current State: 60:[68, 5, 75, 7], Operations: []
Exploring Operation: 68+7=75, Resulting Numbers: [5, 75, 75]
Generated Node #2: [5, 75, 75] from Operation: 68+7=75
Current State: 60:[5, 75, 75], Operations: ['68+7=75']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,60 equal: Goal Reached
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
25,
2,
23,
1
] | 97 | [
"25+23=48",
"2*48=96",
"1+96=97"
] | Current State: 97:[25, 2, 23, 1], Operations: []
Exploring Operation: 25+23=48, Resulting Numbers: [2, 1, 48]
Generated Node #2: [2, 1, 48] from Operation: 25+23=48
Current State: 97:[2, 1, 48], Operations: ['25+23=48']
Exploring Operation: 2*48=96, Resulting Numbers: [1, 96]
Generated Node #3: [1, 96] from Operation: 2*48=96
Current State: 97:[1, 96], Operations: ['25+23=48', '2*48=96']
Exploring Operation: 1+96=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
18,
80,
37,
69
] | 94 | [
"80-18=62",
"69-37=32",
"62+32=94"
] | Current State: 94:[18, 80, 37, 69], Operations: []
Exploring Operation: 80-18=62, Resulting Numbers: [37, 69, 62]
Generated Node #2: [37, 69, 62] from Operation: 80-18=62
Current State: 94:[37, 69, 62], Operations: ['80-18=62']
Exploring Operation: 69-37=32, Resulting Numbers: [62, 32]
Generated Node #3: [62, 32] from Operation: 69-37=32
Current State: 94:[62, 32], Operations: ['80-18=62', '69-37=32']
Exploring Operation: 62+32=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
48,
53,
29,
89
] | 87 | [
"53-29=24",
"48/24=2",
"89-2=87"
] | Current State: 87:[48, 53, 29, 89], Operations: []
Exploring Operation: 53-29=24, Resulting Numbers: [48, 89, 24]
Generated Node #2: [48, 89, 24] from Operation: 53-29=24
Current State: 87:[48, 89, 24], Operations: ['53-29=24']
Exploring Operation: 48/24=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 48/24=2
Current State: 87:[89, 2], Operations: ['53-29=24', '48/24=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
69,
3,
91,
68
] | 93 | [
"69-3=66",
"91+68=159",
"159-66=93"
] | Current State: 93:[69, 3, 91, 68], Operations: []
Exploring Operation: 69-3=66, Resulting Numbers: [91, 68, 66]
Generated Node #2: [91, 68, 66] from Operation: 69-3=66
Current State: 93:[91, 68, 66], Operations: ['69-3=66']
Exploring Operation: 91+68=159, Resulting Numbers: [66, 159]
Generated Node #3: [66, 159] from Operation: 91+68=159
Current State: 93:[66, 159], Operations: ['69-3=66', '91+68=159']
Exploring Operation: 159-66=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
2,
86,
45,
95
] | 97 | [
"86/2=43",
"45+95=140",
"140-43=97"
] | Current State: 97:[2, 86, 45, 95], Operations: []
Exploring Operation: 86/2=43, Resulting Numbers: [45, 95, 43]
Generated Node #2: [45, 95, 43] from Operation: 86/2=43
Current State: 97:[45, 95, 43], Operations: ['86/2=43']
Exploring Operation: 45+95=140, Resulting Numbers: [43, 140]
Generated Node #3: [43, 140] from Operation: 45+95=140
Current State: 97:[43, 140], Operations: ['86/2=43', '45+95=140']
Exploring Operation: 140-43=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
71,
35,
66,
5
] | 38 | [
"71+66=137",
"35*5=175",
"175-137=38"
] | Current State: 38:[71, 35, 66, 5], Operations: []
Exploring Operation: 71+66=137, Resulting Numbers: [35, 5, 137]
Generated Node #2: [35, 5, 137] from Operation: 71+66=137
Current State: 38:[35, 5, 137], Operations: ['71+66=137']
Exploring Operation: 35*5=175, Resulting Numbers: [137, 175]
Generated Node #3: [137, 175] from Operation: 35*5=175
Current State: 38:[137, 175], Operations: ['71+66=137', '35*5=175']
Exploring Operation: 175-137=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
50,
6,
27,
65
] | 36 | [
"50+6=56",
"27+65=92",
"92-56=36"
] | Current State: 36:[50, 6, 27, 65], Operations: []
Exploring Operation: 50+6=56, Resulting Numbers: [27, 65, 56]
Generated Node #2: [27, 65, 56] from Operation: 50+6=56
Current State: 36:[27, 65, 56], Operations: ['50+6=56']
Exploring Operation: 27+65=92, Resulting Numbers: [56, 92]
Generated Node #3: [56, 92] from Operation: 27+65=92
Current State: 36:[56, 92], Operations: ['50+6=56', '27+65=92']
Exploring Operation: 92-56=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
35,
58,
32,
32
] | 93 | [
"35+58=93",
"32-32=0",
"93+0=93"
] | Current State: 93:[35, 58, 32, 32], Operations: []
Exploring Operation: 35+58=93, Resulting Numbers: [32, 32, 93]
Generated Node #2: [32, 32, 93] from Operation: 35+58=93
Current State: 93:[32, 32, 93], Operations: ['35+58=93']
Exploring Operation: 32-32=0, Resulting Numbers: [93, 0]
Generated Node #3: [93, 0] from Operation: 32-32=0
Current State: 93:[93, 0], Operations: ['35+58=93', '32-32=0']
Exploring Operation: 93+0=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
62,
25,
27,
22
] | 51 | [
"27-25=2",
"22/2=11",
"62-11=51"
] | Current State: 51:[62, 25, 27, 22], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [62, 22, 2]
Generated Node #2: [62, 22, 2] from Operation: 27-25=2
Current State: 51:[62, 22, 2], Operations: ['27-25=2']
Exploring Operation: 22/2=11, Resulting Numbers: [62, 11]
Generated Node #3: [62, 11] from Operation: 22/2=11
Current State: 51:[62, 11], Operations: ['27-25=2', '22/2=11']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
41,
21,
62,
60
] | 61 | [
"41+21=62",
"62/62=1",
"60+1=61"
] | Current State: 61:[41, 21, 62, 60], Operations: []
Exploring Operation: 41+21=62, Resulting Numbers: [62, 60, 62]
Generated Node #2: [62, 60, 62] from Operation: 41+21=62
Current State: 61:[62, 60, 62], Operations: ['41+21=62']
Exploring Operation: 62/62=1, Resulting Numbers: [60, 1]
Generated Node #3: [60, 1] from Operation: 62/62=1
Current State: 61:[60, 1], Operations: ['41+21=62', '62/62=1']
Exploring Operation: 60+1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
14,
43,
28,
16
] | 73 | [
"43-14=29",
"28+16=44",
"29+44=73"
] | Current State: 73:[14, 43, 28, 16], Operations: []
Exploring Operation: 43-14=29, Resulting Numbers: [28, 16, 29]
Generated Node #2: [28, 16, 29] from Operation: 43-14=29
Current State: 73:[28, 16, 29], Operations: ['43-14=29']
Exploring Operation: 28+16=44, Resulting Numbers: [29, 44]
Generated Node #3: [29, 44] from Operation: 28+16=44
Current State: 73:[29, 44], Operations: ['43-14=29', '28+16=44']
Exploring Operation: 29+44=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
2,
85,
10,
97
] | 89 | [
"97-10=87",
"2*87=174",
"174-85=89"
] | Current State: 89:[2, 85, 10, 97], Operations: []
Exploring Operation: 97-10=87, Resulting Numbers: [2, 85, 87]
Generated Node #2: [2, 85, 87] from Operation: 97-10=87
Current State: 89:[2, 85, 87], Operations: ['97-10=87']
Exploring Operation: 2*87=174, Resulting Numbers: [85, 174]
Generated Node #3: [85, 174] from Operation: 2*87=174
Current State: 89:[85, 174], Operations: ['97-10=87', '2*87=174']
Exploring Operation: 174-85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
74,
39,
57,
61
] | 19 | [
"74-61=13",
"39/13=3",
"57/3=19"
] | Current State: 19:[74, 39, 57, 61], Operations: []
Exploring Operation: 74-61=13, Resulting Numbers: [39, 57, 13]
Generated Node #2: [39, 57, 13] from Operation: 74-61=13
Current State: 19:[39, 57, 13], Operations: ['74-61=13']
Exploring Operation: 39/13=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 39/13=3
Current State: 19:[57, 3], Operations: ['74-61=13', '39/13=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
31,
33,
32,
58
] | 89 | [
"31+58=89",
"33-32=1",
"89*1=89"
] | Current State: 89:[31, 33, 32, 58], Operations: []
Exploring Operation: 31+58=89, Resulting Numbers: [33, 32, 89]
Generated Node #2: [33, 32, 89] from Operation: 31+58=89
Current State: 89:[33, 32, 89], Operations: ['31+58=89']
Exploring Operation: 33-32=1, Resulting Numbers: [89, 1]
Generated Node #3: [89, 1] from Operation: 33-32=1
Current State: 89:[89, 1], Operations: ['31+58=89', '33-32=1']
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
47,
31,
79,
93
] | 35 | [
"79-47=32",
"93/31=3",
"32+3=35"
] | Current State: 35:[47, 31, 79, 93], Operations: []
Exploring Operation: 79-47=32, Resulting Numbers: [31, 93, 32]
Generated Node #2: [31, 93, 32] from Operation: 79-47=32
Current State: 35:[31, 93, 32], Operations: ['79-47=32']
Exploring Operation: 93/31=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 93/31=3
Current State: 35:[32, 3], Operations: ['79-47=32', '93/31=3']
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
45,
55,
30,
49
] | 100 | [
"49-45=4",
"55-30=25",
"4*25=100"
] | Current State: 100:[45, 55, 30, 49], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [55, 30, 4]
Generated Node #2: [55, 30, 4] from Operation: 49-45=4
Current State: 100:[55, 30, 4], Operations: ['49-45=4']
Exploring Operation: 55-30=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 55-30=25
Current State: 100:[4, 25], Operations: ['49-45=4', '55-30=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
31,
74,
63,
10
] | 32 | [
"31+74=105",
"63+10=73",
"105-73=32"
] | Current State: 32:[31, 74, 63, 10], Operations: []
Exploring Operation: 31+74=105, Resulting Numbers: [63, 10, 105]
Generated Node #2: [63, 10, 105] from Operation: 31+74=105
Current State: 32:[63, 10, 105], Operations: ['31+74=105']
Exploring Operation: 63+10=73, Resulting Numbers: [105, 73]
Generated Node #3: [105, 73] from Operation: 63+10=73
Current State: 32:[105, 73], Operations: ['31+74=105', '63+10=73']
Exploring Operation: 105-73=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
22,
43,
76,
6
] | 34 | [
"76-22=54",
"54/6=9",
"43-9=34"
] | Current State: 34:[22, 43, 76, 6], Operations: []
Exploring Operation: 76-22=54, Resulting Numbers: [43, 6, 54]
Generated Node #2: [43, 6, 54] from Operation: 76-22=54
Current State: 34:[43, 6, 54], Operations: ['76-22=54']
Exploring Operation: 54/6=9, Resulting Numbers: [43, 9]
Generated Node #3: [43, 9] from Operation: 54/6=9
Current State: 34:[43, 9], Operations: ['76-22=54', '54/6=9']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
14,
72,
68,
55
] | 10 | [
"72-55=17",
"68/17=4",
"14-4=10"
] | Current State: 10:[14, 72, 68, 55], Operations: []
Exploring Operation: 72-55=17, Resulting Numbers: [14, 68, 17]
Generated Node #2: [14, 68, 17] from Operation: 72-55=17
Current State: 10:[14, 68, 17], Operations: ['72-55=17']
Exploring Operation: 68/17=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 68/17=4
Current State: 10:[14, 4], Operations: ['72-55=17', '68/17=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
64,
25,
49,
46
] | 42 | [
"64-25=39",
"49-46=3",
"39+3=42"
] | Current State: 42:[64, 25, 49, 46], Operations: []
Exploring Operation: 64-25=39, Resulting Numbers: [49, 46, 39]
Generated Node #2: [49, 46, 39] from Operation: 64-25=39
Current State: 42:[49, 46, 39], Operations: ['64-25=39']
Exploring Operation: 49-46=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 49-46=3
Current State: 42:[39, 3], Operations: ['64-25=39', '49-46=3']
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
55,
45,
73,
99
] | 36 | [
"55-45=10",
"99-73=26",
"10+26=36"
] | Current State: 36:[55, 45, 73, 99], Operations: []
Exploring Operation: 55-45=10, Resulting Numbers: [73, 99, 10]
Generated Node #2: [73, 99, 10] from Operation: 55-45=10
Current State: 36:[73, 99, 10], Operations: ['55-45=10']
Exploring Operation: 99-73=26, Resulting Numbers: [10, 26]
Generated Node #3: [10, 26] from Operation: 99-73=26
Current State: 36:[10, 26], Operations: ['55-45=10', '99-73=26']
Exploring Operation: 10+26=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
79,
42,
49,
99
] | 87 | [
"79-42=37",
"99-49=50",
"37+50=87"
] | Current State: 87:[79, 42, 49, 99], Operations: []
Exploring Operation: 79-42=37, Resulting Numbers: [49, 99, 37]
Generated Node #2: [49, 99, 37] from Operation: 79-42=37
Current State: 87:[49, 99, 37], Operations: ['79-42=37']
Exploring Operation: 99-49=50, Resulting Numbers: [37, 50]
Generated Node #3: [37, 50] from Operation: 99-49=50
Current State: 87:[37, 50], Operations: ['79-42=37', '99-49=50']
Exploring Operation: 37+50=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
65,
26,
50,
75
] | 21 | [
"65-50=15",
"75/15=5",
"26-5=21"
] | Current State: 21:[65, 26, 50, 75], Operations: []
Exploring Operation: 65-50=15, Resulting Numbers: [26, 75, 15]
Generated Node #2: [26, 75, 15] from Operation: 65-50=15
Current State: 21:[26, 75, 15], Operations: ['65-50=15']
Exploring Operation: 75/15=5, Resulting Numbers: [26, 5]
Generated Node #3: [26, 5] from Operation: 75/15=5
Current State: 21:[26, 5], Operations: ['65-50=15', '75/15=5']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
9,
69,
5,
24
] | 66 | [
"24-9=15",
"15/5=3",
"69-3=66"
] | Current State: 66:[9, 69, 5, 24], Operations: []
Exploring Operation: 24-9=15, Resulting Numbers: [69, 5, 15]
Generated Node #2: [69, 5, 15] from Operation: 24-9=15
Current State: 66:[69, 5, 15], Operations: ['24-9=15']
Exploring Operation: 15/5=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 15/5=3
Current State: 66:[69, 3], Operations: ['24-9=15', '15/5=3']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
7,
38,
65,
16
] | 77 | [
"65-38=27",
"27-16=11",
"7*11=77"
] | Current State: 77:[7, 38, 65, 16], Operations: []
Exploring Operation: 65-38=27, Resulting Numbers: [7, 16, 27]
Generated Node #2: [7, 16, 27] from Operation: 65-38=27
Current State: 77:[7, 16, 27], Operations: ['65-38=27']
Exploring Operation: 27-16=11, Resulting Numbers: [7, 11]
Generated Node #3: [7, 11] from Operation: 27-16=11
Current State: 77:[7, 11], Operations: ['65-38=27', '27-16=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
36,
60,
85,
43
] | 94 | [
"36*85=3060",
"3060/60=51",
"43+51=94"
] | Current State: 94:[36, 60, 85, 43], Operations: []
Exploring Operation: 36*85=3060, Resulting Numbers: [60, 43, 3060]
Generated Node #2: [60, 43, 3060] from Operation: 36*85=3060
Current State: 94:[60, 43, 3060], Operations: ['36*85=3060']
Exploring Operation: 3060/60=51, Resulting Numbers: [43, 51]
Generated Node #3: [43, 51] from Operation: 3060/60=51
Current State: 94:[43, 51], Operations: ['36*85=3060', '3060/60=51']
Exploring Operation: 43+51=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
15,
51,
22,
90
] | 67 | [
"90/15=6",
"51+22=73",
"73-6=67"
] | Current State: 67:[15, 51, 22, 90], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [51, 22, 6]
Generated Node #2: [51, 22, 6] from Operation: 90/15=6
Current State: 67:[51, 22, 6], Operations: ['90/15=6']
Exploring Operation: 51+22=73, Resulting Numbers: [6, 73]
Generated Node #3: [6, 73] from Operation: 51+22=73
Current State: 67:[6, 73], Operations: ['90/15=6', '51+22=73']
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
14,
60,
16,
17
] | 41 | [
"14+60=74",
"16+17=33",
"74-33=41"
] | Current State: 41:[14, 60, 16, 17], Operations: []
Exploring Operation: 14+60=74, Resulting Numbers: [16, 17, 74]
Generated Node #2: [16, 17, 74] from Operation: 14+60=74
Current State: 41:[16, 17, 74], Operations: ['14+60=74']
Exploring Operation: 16+17=33, Resulting Numbers: [74, 33]
Generated Node #3: [74, 33] from Operation: 16+17=33
Current State: 41:[74, 33], Operations: ['14+60=74', '16+17=33']
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
45,
98,
31,
92
] | 84 | [
"45-31=14",
"98-92=6",
"14*6=84"
] | Current State: 84:[45, 98, 31, 92], Operations: []
Exploring Operation: 45-31=14, Resulting Numbers: [98, 92, 14]
Generated Node #2: [98, 92, 14] from Operation: 45-31=14
Current State: 84:[98, 92, 14], Operations: ['45-31=14']
Exploring Operation: 98-92=6, Resulting Numbers: [14, 6]
Generated Node #3: [14, 6] from Operation: 98-92=6
Current State: 84:[14, 6], Operations: ['45-31=14', '98-92=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
24,
42,
4,
32
] | 40 | [
"42-24=18",
"4*18=72",
"72-32=40"
] | Current State: 40:[24, 42, 4, 32], Operations: []
Exploring Operation: 42-24=18, Resulting Numbers: [4, 32, 18]
Generated Node #2: [4, 32, 18] from Operation: 42-24=18
Current State: 40:[4, 32, 18], Operations: ['42-24=18']
Exploring Operation: 4*18=72, Resulting Numbers: [32, 72]
Generated Node #3: [32, 72] from Operation: 4*18=72
Current State: 40:[32, 72], Operations: ['42-24=18', '4*18=72']
Exploring Operation: 72-32=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
31,
64,
3,
98
] | 87 | [
"64-31=33",
"33/3=11",
"98-11=87"
] | Current State: 87:[31, 64, 3, 98], Operations: []
Exploring Operation: 64-31=33, Resulting Numbers: [3, 98, 33]
Generated Node #2: [3, 98, 33] from Operation: 64-31=33
Current State: 87:[3, 98, 33], Operations: ['64-31=33']
Exploring Operation: 33/3=11, Resulting Numbers: [98, 11]
Generated Node #3: [98, 11] from Operation: 33/3=11
Current State: 87:[98, 11], Operations: ['64-31=33', '33/3=11']
Exploring Operation: 98-11=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
66,
39,
12,
56
] | 17 | [
"66-39=27",
"56-12=44",
"44-27=17"
] | Current State: 17:[66, 39, 12, 56], Operations: []
Exploring Operation: 66-39=27, Resulting Numbers: [12, 56, 27]
Generated Node #2: [12, 56, 27] from Operation: 66-39=27
Current State: 17:[12, 56, 27], Operations: ['66-39=27']
Exploring Operation: 56-12=44, Resulting Numbers: [27, 44]
Generated Node #3: [27, 44] from Operation: 56-12=44
Current State: 17:[27, 44], Operations: ['66-39=27', '56-12=44']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
33,
32,
43,
85
] | 63 | [
"33+32=65",
"43+85=128",
"128-65=63"
] | Current State: 63:[33, 32, 43, 85], Operations: []
Exploring Operation: 33+32=65, Resulting Numbers: [43, 85, 65]
Generated Node #2: [43, 85, 65] from Operation: 33+32=65
Current State: 63:[43, 85, 65], Operations: ['33+32=65']
Exploring Operation: 43+85=128, Resulting Numbers: [65, 128]
Generated Node #3: [65, 128] from Operation: 43+85=128
Current State: 63:[65, 128], Operations: ['33+32=65', '43+85=128']
Exploring Operation: 128-65=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
44,
95,
46,
94
] | 93 | [
"46-44=2",
"94*2=188",
"188-95=93"
] | Current State: 93:[44, 95, 46, 94], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [95, 94, 2]
Generated Node #2: [95, 94, 2] from Operation: 46-44=2
Current State: 93:[95, 94, 2], Operations: ['46-44=2']
Exploring Operation: 94*2=188, Resulting Numbers: [95, 188]
Generated Node #3: [95, 188] from Operation: 94*2=188
Current State: 93:[95, 188], Operations: ['46-44=2', '94*2=188']
Exploring Operation: 188-95=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
88,
71,
14,
77
] | 83 | [
"88-77=11",
"14*11=154",
"154-71=83"
] | Current State: 83:[88, 71, 14, 77], Operations: []
Exploring Operation: 88-77=11, Resulting Numbers: [71, 14, 11]
Generated Node #2: [71, 14, 11] from Operation: 88-77=11
Current State: 83:[71, 14, 11], Operations: ['88-77=11']
Exploring Operation: 14*11=154, Resulting Numbers: [71, 154]
Generated Node #3: [71, 154] from Operation: 14*11=154
Current State: 83:[71, 154], Operations: ['88-77=11', '14*11=154']
Exploring Operation: 154-71=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
6,
67,
53,
46
] | 67 | [
"53-6=47",
"47-46=1",
"67*1=67"
] | Current State: 67:[6, 67, 53, 46], Operations: []
Exploring Operation: 53-6=47, Resulting Numbers: [67, 46, 47]
Generated Node #2: [67, 46, 47] from Operation: 53-6=47
Current State: 67:[67, 46, 47], Operations: ['53-6=47']
Exploring Operation: 47-46=1, Resulting Numbers: [67, 1]
Generated Node #3: [67, 1] from Operation: 47-46=1
Current State: 67:[67, 1], Operations: ['53-6=47', '47-46=1']
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
16,
47,
92,
93
] | 89 | [
"47-16=31",
"93/31=3",
"92-3=89"
] | Current State: 89:[16, 47, 92, 93], Operations: []
Exploring Operation: 47-16=31, Resulting Numbers: [92, 93, 31]
Generated Node #2: [92, 93, 31] from Operation: 47-16=31
Current State: 89:[92, 93, 31], Operations: ['47-16=31']
Exploring Operation: 93/31=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 93/31=3
Current State: 89:[92, 3], Operations: ['47-16=31', '93/31=3']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
22,
17,
15,
10
] | 87 | [
"22-15=7",
"10*7=70",
"17+70=87"
] | Current State: 87:[22, 17, 15, 10], Operations: []
Exploring Operation: 22-15=7, Resulting Numbers: [17, 10, 7]
Generated Node #2: [17, 10, 7] from Operation: 22-15=7
Current State: 87:[17, 10, 7], Operations: ['22-15=7']
Exploring Operation: 10*7=70, Resulting Numbers: [17, 70]
Generated Node #3: [17, 70] from Operation: 10*7=70
Current State: 87:[17, 70], Operations: ['22-15=7', '10*7=70']
Exploring Operation: 17+70=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
31,
26,
29,
23
] | 63 | [
"31+26=57",
"29-23=6",
"57+6=63"
] | Current State: 63:[31, 26, 29, 23], Operations: []
Exploring Operation: 31+26=57, Resulting Numbers: [29, 23, 57]
Generated Node #2: [29, 23, 57] from Operation: 31+26=57
Current State: 63:[29, 23, 57], Operations: ['31+26=57']
Exploring Operation: 29-23=6, Resulting Numbers: [57, 6]
Generated Node #3: [57, 6] from Operation: 29-23=6
Current State: 63:[57, 6], Operations: ['31+26=57', '29-23=6']
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
36,
71,
31,
93
] | 97 | [
"71-36=35",
"93-31=62",
"35+62=97"
] | Current State: 97:[36, 71, 31, 93], Operations: []
Exploring Operation: 71-36=35, Resulting Numbers: [31, 93, 35]
Generated Node #2: [31, 93, 35] from Operation: 71-36=35
Current State: 97:[31, 93, 35], Operations: ['71-36=35']
Exploring Operation: 93-31=62, Resulting Numbers: [35, 62]
Generated Node #3: [35, 62] from Operation: 93-31=62
Current State: 97:[35, 62], Operations: ['71-36=35', '93-31=62']
Exploring Operation: 35+62=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
71,
51,
36,
30
] | 14 | [
"71-51=20",
"36-30=6",
"20-6=14"
] | Current State: 14:[71, 51, 36, 30], Operations: []
Exploring Operation: 71-51=20, Resulting Numbers: [36, 30, 20]
Generated Node #2: [36, 30, 20] from Operation: 71-51=20
Current State: 14:[36, 30, 20], Operations: ['71-51=20']
Exploring Operation: 36-30=6, Resulting Numbers: [20, 6]
Generated Node #3: [20, 6] from Operation: 36-30=6
Current State: 14:[20, 6], Operations: ['71-51=20', '36-30=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
62,
25,
77,
18
] | 22 | [
"62-25=37",
"77-18=59",
"59-37=22"
] | Current State: 22:[62, 25, 77, 18], Operations: []
Exploring Operation: 62-25=37, Resulting Numbers: [77, 18, 37]
Generated Node #2: [77, 18, 37] from Operation: 62-25=37
Current State: 22:[77, 18, 37], Operations: ['62-25=37']
Exploring Operation: 77-18=59, Resulting Numbers: [37, 59]
Generated Node #3: [37, 59] from Operation: 77-18=59
Current State: 22:[37, 59], Operations: ['62-25=37', '77-18=59']
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
42,
98,
22,
92
] | 29 | [
"98-92=6",
"42/6=7",
"22+7=29"
] | Current State: 29:[42, 98, 22, 92], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [42, 22, 6]
Generated Node #2: [42, 22, 6] from Operation: 98-92=6
Current State: 29:[42, 22, 6], Operations: ['98-92=6']
Exploring Operation: 42/6=7, Resulting Numbers: [22, 7]
Generated Node #3: [22, 7] from Operation: 42/6=7
Current State: 29:[22, 7], Operations: ['98-92=6', '42/6=7']
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
12,
81,
92,
42
] | 43 | [
"12+81=93",
"92-42=50",
"93-50=43"
] | Current State: 43:[12, 81, 92, 42], Operations: []
Exploring Operation: 12+81=93, Resulting Numbers: [92, 42, 93]
Generated Node #2: [92, 42, 93] from Operation: 12+81=93
Current State: 43:[92, 42, 93], Operations: ['12+81=93']
Exploring Operation: 92-42=50, Resulting Numbers: [93, 50]
Generated Node #3: [93, 50] from Operation: 92-42=50
Current State: 43:[93, 50], Operations: ['12+81=93', '92-42=50']
Exploring Operation: 93-50=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
28,
93,
66,
52
] | 91 | [
"66-52=14",
"28/14=2",
"93-2=91"
] | Current State: 91:[28, 93, 66, 52], Operations: []
Exploring Operation: 66-52=14, Resulting Numbers: [28, 93, 14]
Generated Node #2: [28, 93, 14] from Operation: 66-52=14
Current State: 91:[28, 93, 14], Operations: ['66-52=14']
Exploring Operation: 28/14=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 28/14=2
Current State: 91:[93, 2], Operations: ['66-52=14', '28/14=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
12,
68,
15,
31
] | 96 | [
"12+68=80",
"31-15=16",
"80+16=96"
] | Current State: 96:[12, 68, 15, 31], Operations: []
Exploring Operation: 12+68=80, Resulting Numbers: [15, 31, 80]
Generated Node #2: [15, 31, 80] from Operation: 12+68=80
Current State: 96:[15, 31, 80], Operations: ['12+68=80']
Exploring Operation: 31-15=16, Resulting Numbers: [80, 16]
Generated Node #3: [80, 16] from Operation: 31-15=16
Current State: 96:[80, 16], Operations: ['12+68=80', '31-15=16']
Exploring Operation: 80+16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
4,
53,
18,
18
] | 93 | [
"4+53=57",
"18+18=36",
"57+36=93"
] | Current State: 93:[4, 53, 18, 18], Operations: []
Exploring Operation: 4+53=57, Resulting Numbers: [18, 18, 57]
Generated Node #2: [18, 18, 57] from Operation: 4+53=57
Current State: 93:[18, 18, 57], Operations: ['4+53=57']
Exploring Operation: 18+18=36, Resulting Numbers: [57, 36]
Generated Node #3: [57, 36] from Operation: 18+18=36
Current State: 93:[57, 36], Operations: ['4+53=57', '18+18=36']
Exploring Operation: 57+36=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
88,
11,
3,
30
] | 67 | [
"88-11=77",
"30/3=10",
"77-10=67"
] | Current State: 67:[88, 11, 3, 30], Operations: []
Exploring Operation: 88-11=77, Resulting Numbers: [3, 30, 77]
Generated Node #2: [3, 30, 77] from Operation: 88-11=77
Current State: 67:[3, 30, 77], Operations: ['88-11=77']
Exploring Operation: 30/3=10, Resulting Numbers: [77, 10]
Generated Node #3: [77, 10] from Operation: 30/3=10
Current State: 67:[77, 10], Operations: ['88-11=77', '30/3=10']
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
19,
27,
21,
61
] | 44 | [
"21-19=2",
"27+61=88",
"88/2=44"
] | Current State: 44:[19, 27, 21, 61], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [27, 61, 2]
Generated Node #2: [27, 61, 2] from Operation: 21-19=2
Current State: 44:[27, 61, 2], Operations: ['21-19=2']
Exploring Operation: 27+61=88, Resulting Numbers: [2, 88]
Generated Node #3: [2, 88] from Operation: 27+61=88
Current State: 44:[2, 88], Operations: ['21-19=2', '27+61=88']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
23,
56,
1,
14
] | 27 | [
"23*1=23",
"56/14=4",
"23+4=27"
] | Current State: 27:[23, 56, 1, 14], Operations: []
Exploring Operation: 23*1=23, Resulting Numbers: [56, 14, 23]
Generated Node #2: [56, 14, 23] from Operation: 23*1=23
Current State: 27:[56, 14, 23], Operations: ['23*1=23']
Exploring Operation: 56/14=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 56/14=4
Current State: 27:[23, 4], Operations: ['23*1=23', '56/14=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
75,
60,
69,
64
] | 87 | [
"69-64=5",
"60/5=12",
"75+12=87"
] | Current State: 87:[75, 60, 69, 64], Operations: []
Exploring Operation: 69-64=5, Resulting Numbers: [75, 60, 5]
Generated Node #2: [75, 60, 5] from Operation: 69-64=5
Current State: 87:[75, 60, 5], Operations: ['69-64=5']
Exploring Operation: 60/5=12, Resulting Numbers: [75, 12]
Generated Node #3: [75, 12] from Operation: 60/5=12
Current State: 87:[75, 12], Operations: ['69-64=5', '60/5=12']
Exploring Operation: 75+12=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
95,
58,
58,
18
] | 78 | [
"95-18=77",
"58/58=1",
"77+1=78"
] | Current State: 78:[95, 58, 58, 18], Operations: []
Exploring Operation: 95-18=77, Resulting Numbers: [58, 58, 77]
Generated Node #2: [58, 58, 77] from Operation: 95-18=77
Current State: 78:[58, 58, 77], Operations: ['95-18=77']
Exploring Operation: 58/58=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 58/58=1
Current State: 78:[77, 1], Operations: ['95-18=77', '58/58=1']
Exploring Operation: 77+1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
61,
9,
40,
37
] | 64 | [
"40-37=3",
"9/3=3",
"61+3=64"
] | Current State: 64:[61, 9, 40, 37], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [61, 9, 3]
Generated Node #2: [61, 9, 3] from Operation: 40-37=3
Current State: 64:[61, 9, 3], Operations: ['40-37=3']
Exploring Operation: 9/3=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 9/3=3
Current State: 64:[61, 3], Operations: ['40-37=3', '9/3=3']
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
39,
4,
53,
9
] | 65 | [
"53-39=14",
"4*14=56",
"9+56=65"
] | Current State: 65:[39, 4, 53, 9], Operations: []
Exploring Operation: 53-39=14, Resulting Numbers: [4, 9, 14]
Generated Node #2: [4, 9, 14] from Operation: 53-39=14
Current State: 65:[4, 9, 14], Operations: ['53-39=14']
Exploring Operation: 4*14=56, Resulting Numbers: [9, 56]
Generated Node #3: [9, 56] from Operation: 4*14=56
Current State: 65:[9, 56], Operations: ['53-39=14', '4*14=56']
Exploring Operation: 9+56=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
16,
53,
2,
32
] | 67 | [
"53-16=37",
"32-2=30",
"37+30=67"
] | Current State: 67:[16, 53, 2, 32], Operations: []
Exploring Operation: 53-16=37, Resulting Numbers: [2, 32, 37]
Generated Node #2: [2, 32, 37] from Operation: 53-16=37
Current State: 67:[2, 32, 37], Operations: ['53-16=37']
Exploring Operation: 32-2=30, Resulting Numbers: [37, 30]
Generated Node #3: [37, 30] from Operation: 32-2=30
Current State: 67:[37, 30], Operations: ['53-16=37', '32-2=30']
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
43,
40,
34,
21
] | 81 | [
"43-40=3",
"34*3=102",
"102-21=81"
] | Current State: 81:[43, 40, 34, 21], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [34, 21, 3]
Generated Node #2: [34, 21, 3] from Operation: 43-40=3
Current State: 81:[34, 21, 3], Operations: ['43-40=3']
Exploring Operation: 34*3=102, Resulting Numbers: [21, 102]
Generated Node #3: [21, 102] from Operation: 34*3=102
Current State: 81:[21, 102], Operations: ['43-40=3', '34*3=102']
Exploring Operation: 102-21=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
20,
92,
90,
7
] | 25 | [
"92-20=72",
"90+7=97",
"97-72=25"
] | Current State: 25:[20, 92, 90, 7], Operations: []
Exploring Operation: 92-20=72, Resulting Numbers: [90, 7, 72]
Generated Node #2: [90, 7, 72] from Operation: 92-20=72
Current State: 25:[90, 7, 72], Operations: ['92-20=72']
Exploring Operation: 90+7=97, Resulting Numbers: [72, 97]
Generated Node #3: [72, 97] from Operation: 90+7=97
Current State: 25:[72, 97], Operations: ['92-20=72', '90+7=97']
Exploring Operation: 97-72=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
47,
77,
12,
54
] | 23 | [
"54-47=7",
"77/7=11",
"12+11=23"
] | Current State: 23:[47, 77, 12, 54], Operations: []
Exploring Operation: 54-47=7, Resulting Numbers: [77, 12, 7]
Generated Node #2: [77, 12, 7] from Operation: 54-47=7
Current State: 23:[77, 12, 7], Operations: ['54-47=7']
Exploring Operation: 77/7=11, Resulting Numbers: [12, 11]
Generated Node #3: [12, 11] from Operation: 77/7=11
Current State: 23:[12, 11], Operations: ['54-47=7', '77/7=11']
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
58,
55,
29,
49
] | 81 | [
"58-55=3",
"29+49=78",
"3+78=81"
] | Current State: 81:[58, 55, 29, 49], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [29, 49, 3]
Generated Node #2: [29, 49, 3] from Operation: 58-55=3
Current State: 81:[29, 49, 3], Operations: ['58-55=3']
Exploring Operation: 29+49=78, Resulting Numbers: [3, 78]
Generated Node #3: [3, 78] from Operation: 29+49=78
Current State: 81:[3, 78], Operations: ['58-55=3', '29+49=78']
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
49,
78,
54,
96
] | 85 | [
"49+78=127",
"96-54=42",
"127-42=85"
] | Current State: 85:[49, 78, 54, 96], Operations: []
Exploring Operation: 49+78=127, Resulting Numbers: [54, 96, 127]
Generated Node #2: [54, 96, 127] from Operation: 49+78=127
Current State: 85:[54, 96, 127], Operations: ['49+78=127']
Exploring Operation: 96-54=42, Resulting Numbers: [127, 42]
Generated Node #3: [127, 42] from Operation: 96-54=42
Current State: 85:[127, 42], Operations: ['49+78=127', '96-54=42']
Exploring Operation: 127-42=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
32,
36,
27,
2
] | 79 | [
"32/2=16",
"36+27=63",
"16+63=79"
] | Current State: 79:[32, 36, 27, 2], Operations: []
Exploring Operation: 32/2=16, Resulting Numbers: [36, 27, 16]
Generated Node #2: [36, 27, 16] from Operation: 32/2=16
Current State: 79:[36, 27, 16], Operations: ['32/2=16']
Exploring Operation: 36+27=63, Resulting Numbers: [16, 63]
Generated Node #3: [16, 63] from Operation: 36+27=63
Current State: 79:[16, 63], Operations: ['32/2=16', '36+27=63']
Exploring Operation: 16+63=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
94,
93,
15,
52
] | 36 | [
"94-93=1",
"52-15=37",
"37-1=36"
] | Current State: 36:[94, 93, 15, 52], Operations: []
Exploring Operation: 94-93=1, Resulting Numbers: [15, 52, 1]
Generated Node #2: [15, 52, 1] from Operation: 94-93=1
Current State: 36:[15, 52, 1], Operations: ['94-93=1']
Exploring Operation: 52-15=37, Resulting Numbers: [1, 37]
Generated Node #3: [1, 37] from Operation: 52-15=37
Current State: 36:[1, 37], Operations: ['94-93=1', '52-15=37']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
85,
36,
19,
43
] | 13 | [
"85-36=49",
"19+43=62",
"62-49=13"
] | Current State: 13:[85, 36, 19, 43], Operations: []
Exploring Operation: 85-36=49, Resulting Numbers: [19, 43, 49]
Generated Node #2: [19, 43, 49] from Operation: 85-36=49
Current State: 13:[19, 43, 49], Operations: ['85-36=49']
Exploring Operation: 19+43=62, Resulting Numbers: [49, 62]
Generated Node #3: [49, 62] from Operation: 19+43=62
Current State: 13:[49, 62], Operations: ['85-36=49', '19+43=62']
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
72,
38,
26,
92
] | 76 | [
"72-26=46",
"38*92=3496",
"3496/46=76"
] | Current State: 76:[72, 38, 26, 92], Operations: []
Exploring Operation: 72-26=46, Resulting Numbers: [38, 92, 46]
Generated Node #2: [38, 92, 46] from Operation: 72-26=46
Current State: 76:[38, 92, 46], Operations: ['72-26=46']
Exploring Operation: 38*92=3496, Resulting Numbers: [46, 3496]
Generated Node #3: [46, 3496] from Operation: 38*92=3496
Current State: 76:[46, 3496], Operations: ['72-26=46', '38*92=3496']
Exploring Operation: 3496/46=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
6,
67,
4,
46
] | 57 | [
"46-6=40",
"40/4=10",
"67-10=57"
] | Current State: 57:[6, 67, 4, 46], Operations: []
Exploring Operation: 46-6=40, Resulting Numbers: [67, 4, 40]
Generated Node #2: [67, 4, 40] from Operation: 46-6=40
Current State: 57:[67, 4, 40], Operations: ['46-6=40']
Exploring Operation: 40/4=10, Resulting Numbers: [67, 10]
Generated Node #3: [67, 10] from Operation: 40/4=10
Current State: 57:[67, 10], Operations: ['46-6=40', '40/4=10']
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
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