nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
8,
74,
7,
67
] | 66 | [
"8*67=536",
"536-74=462",
"462/7=66"
] | Current State: 66:[8, 74, 7, 67], Operations: []
Exploring Operation: 8*67=536, Resulting Numbers: [74, 7, 536]
Generated Node #2: [74, 7, 536] from Operation: 8*67=536
Current State: 66:[74, 7, 536], Operations: ['8*67=536']
Exploring Operation: 536-74=462, Resulting Numbers: [7, 462]
Generated Node #3: [7, 462] from Operation: 536-74=462
Current State: 66:[7, 462], Operations: ['8*67=536', '536-74=462']
Exploring Operation: 462/7=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
70,
99,
77,
3
] | 45 | [
"99-70=29",
"77-3=74",
"74-29=45"
] | Current State: 45:[70, 99, 77, 3], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [77, 3, 29]
Generated Node #2: [77, 3, 29] from Operation: 99-70=29
Current State: 45:[77, 3, 29], Operations: ['99-70=29']
Exploring Operation: 77-3=74, Resulting Numbers: [29, 74]
Generated Node #3: [29, 74] from Operation: 77-3=74
Current State: 45:[29, 74], Operations: ['99-70=29', '77-3=74']
Exploring Operation: 74-29=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
31,
46,
48,
67
] | 22 | [
"31*46=1426",
"48+1426=1474",
"1474/67=22"
] | Current State: 22:[31, 46, 48, 67], Operations: []
Exploring Operation: 31*46=1426, Resulting Numbers: [48, 67, 1426]
Generated Node #2: [48, 67, 1426] from Operation: 31*46=1426
Current State: 22:[48, 67, 1426], Operations: ['31*46=1426']
Exploring Operation: 48+1426=1474, Resulting Numbers: [67, 1474]
Generated Node #3: [67, 1474] from Operation: 48+1426=1474
Current State: 22:[67, 1474], Operations: ['31*46=1426', '48+1426=1474']
Exploring Operation: 1474/67=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
61,
44,
42,
98
] | 35 | [
"61+44=105",
"42+98=140",
"140-105=35"
] | Current State: 35:[61, 44, 42, 98], Operations: []
Exploring Operation: 61+44=105, Resulting Numbers: [42, 98, 105]
Generated Node #2: [42, 98, 105] from Operation: 61+44=105
Current State: 35:[42, 98, 105], Operations: ['61+44=105']
Exploring Operation: 42+98=140, Resulting Numbers: [105, 140]
Generated Node #3: [105, 140] from Operation: 42+98=140
Current State: 35:[105, 140], Operations: ['61+44=105', '42+98=140']
Exploring Operation: 140-105=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
98,
2,
19,
87
] | 83 | [
"98-19=79",
"87+79=166",
"166/2=83"
] | Current State: 83:[98, 2, 19, 87], Operations: []
Exploring Operation: 98-19=79, Resulting Numbers: [2, 87, 79]
Generated Node #2: [2, 87, 79] from Operation: 98-19=79
Current State: 83:[2, 87, 79], Operations: ['98-19=79']
Exploring Operation: 87+79=166, Resulting Numbers: [2, 166]
Generated Node #3: [2, 166] from Operation: 87+79=166
Current State: 83:[2, 166], Operations: ['98-19=79', '87+79=166']
Exploring Operation: 166/2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
11,
69,
82,
16
] | 40 | [
"69-11=58",
"82+16=98",
"98-58=40"
] | Current State: 40:[11, 69, 82, 16], Operations: []
Exploring Operation: 69-11=58, Resulting Numbers: [82, 16, 58]
Generated Node #2: [82, 16, 58] from Operation: 69-11=58
Current State: 40:[82, 16, 58], Operations: ['69-11=58']
Exploring Operation: 82+16=98, Resulting Numbers: [58, 98]
Generated Node #3: [58, 98] from Operation: 82+16=98
Current State: 40:[58, 98], Operations: ['69-11=58', '82+16=98']
Exploring Operation: 98-58=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
63,
7,
7,
89
] | 63 | [
"7-7=0",
"89*0=0",
"63+0=63"
] | Current State: 63:[63, 7, 7, 89], Operations: []
Exploring Operation: 7-7=0, Resulting Numbers: [63, 89, 0]
Generated Node #2: [63, 89, 0] from Operation: 7-7=0
Current State: 63:[63, 89, 0], Operations: ['7-7=0']
Exploring Operation: 89*0=0, Resulting Numbers: [63, 0]
Generated Node #3: [63, 0] from Operation: 89*0=0
Current State: 63:[63, 0], Operations: ['7-7=0', '89*0=0']
Exploring Operation: 63+0=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
32,
90,
85,
71
] | 44 | [
"90-32=58",
"85-71=14",
"58-14=44"
] | Current State: 44:[32, 90, 85, 71], Operations: []
Exploring Operation: 90-32=58, Resulting Numbers: [85, 71, 58]
Generated Node #2: [85, 71, 58] from Operation: 90-32=58
Current State: 44:[85, 71, 58], Operations: ['90-32=58']
Exploring Operation: 85-71=14, Resulting Numbers: [58, 14]
Generated Node #3: [58, 14] from Operation: 85-71=14
Current State: 44:[58, 14], Operations: ['90-32=58', '85-71=14']
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
16,
75,
66,
78
] | 100 | [
"16*75=1200",
"78-66=12",
"1200/12=100"
] | Current State: 100:[16, 75, 66, 78], Operations: []
Exploring Operation: 16*75=1200, Resulting Numbers: [66, 78, 1200]
Generated Node #2: [66, 78, 1200] from Operation: 16*75=1200
Current State: 100:[66, 78, 1200], Operations: ['16*75=1200']
Exploring Operation: 78-66=12, Resulting Numbers: [1200, 12]
Generated Node #3: [1200, 12] from Operation: 78-66=12
Current State: 100:[1200, 12], Operations: ['16*75=1200', '78-66=12']
Exploring Operation: 1200/12=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
25,
33,
56,
96
] | 94 | [
"25+33=58",
"56+96=152",
"152-58=94"
] | Current State: 94:[25, 33, 56, 96], Operations: []
Exploring Operation: 25+33=58, Resulting Numbers: [56, 96, 58]
Generated Node #2: [56, 96, 58] from Operation: 25+33=58
Current State: 94:[56, 96, 58], Operations: ['25+33=58']
Exploring Operation: 56+96=152, Resulting Numbers: [58, 152]
Generated Node #3: [58, 152] from Operation: 56+96=152
Current State: 94:[58, 152], Operations: ['25+33=58', '56+96=152']
Exploring Operation: 152-58=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
12,
81,
4,
45
] | 44 | [
"12+81=93",
"4+45=49",
"93-49=44"
] | Current State: 44:[12, 81, 4, 45], Operations: []
Exploring Operation: 12+81=93, Resulting Numbers: [4, 45, 93]
Generated Node #2: [4, 45, 93] from Operation: 12+81=93
Current State: 44:[4, 45, 93], Operations: ['12+81=93']
Exploring Operation: 4+45=49, Resulting Numbers: [93, 49]
Generated Node #3: [93, 49] from Operation: 4+45=49
Current State: 44:[93, 49], Operations: ['12+81=93', '4+45=49']
Exploring Operation: 93-49=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
60,
6,
49,
66
] | 37 | [
"60-6=54",
"66-49=17",
"54-17=37"
] | Current State: 37:[60, 6, 49, 66], Operations: []
Exploring Operation: 60-6=54, Resulting Numbers: [49, 66, 54]
Generated Node #2: [49, 66, 54] from Operation: 60-6=54
Current State: 37:[49, 66, 54], Operations: ['60-6=54']
Exploring Operation: 66-49=17, Resulting Numbers: [54, 17]
Generated Node #3: [54, 17] from Operation: 66-49=17
Current State: 37:[54, 17], Operations: ['60-6=54', '66-49=17']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
5,
30,
94,
28
] | 60 | [
"30/5=6",
"94-28=66",
"66-6=60"
] | Current State: 60:[5, 30, 94, 28], Operations: []
Exploring Operation: 30/5=6, Resulting Numbers: [94, 28, 6]
Generated Node #2: [94, 28, 6] from Operation: 30/5=6
Current State: 60:[94, 28, 6], Operations: ['30/5=6']
Exploring Operation: 94-28=66, Resulting Numbers: [6, 66]
Generated Node #3: [6, 66] from Operation: 94-28=66
Current State: 60:[6, 66], Operations: ['30/5=6', '94-28=66']
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
59,
76,
97,
91
] | 93 | [
"97-59=38",
"76/38=2",
"91+2=93"
] | Current State: 93:[59, 76, 97, 91], Operations: []
Exploring Operation: 97-59=38, Resulting Numbers: [76, 91, 38]
Generated Node #2: [76, 91, 38] from Operation: 97-59=38
Current State: 93:[76, 91, 38], Operations: ['97-59=38']
Exploring Operation: 76/38=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 76/38=2
Current State: 93:[91, 2], Operations: ['97-59=38', '76/38=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
69,
21,
2,
10
] | 50 | [
"69+21=90",
"10+90=100",
"100/2=50"
] | Current State: 50:[69, 21, 2, 10], Operations: []
Exploring Operation: 69+21=90, Resulting Numbers: [2, 10, 90]
Generated Node #2: [2, 10, 90] from Operation: 69+21=90
Current State: 50:[2, 10, 90], Operations: ['69+21=90']
Exploring Operation: 10+90=100, Resulting Numbers: [2, 100]
Generated Node #3: [2, 100] from Operation: 10+90=100
Current State: 50:[2, 100], Operations: ['69+21=90', '10+90=100']
Exploring Operation: 100/2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
78,
88,
95,
99
] | 14 | [
"88-78=10",
"99-95=4",
"10+4=14"
] | Current State: 14:[78, 88, 95, 99], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [95, 99, 10]
Generated Node #2: [95, 99, 10] from Operation: 88-78=10
Current State: 14:[95, 99, 10], Operations: ['88-78=10']
Exploring Operation: 99-95=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 99-95=4
Current State: 14:[10, 4], Operations: ['88-78=10', '99-95=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
2,
65,
25,
89
] | 47 | [
"2+65=67",
"25+89=114",
"114-67=47"
] | Current State: 47:[2, 65, 25, 89], Operations: []
Exploring Operation: 2+65=67, Resulting Numbers: [25, 89, 67]
Generated Node #2: [25, 89, 67] from Operation: 2+65=67
Current State: 47:[25, 89, 67], Operations: ['2+65=67']
Exploring Operation: 25+89=114, Resulting Numbers: [67, 114]
Generated Node #3: [67, 114] from Operation: 25+89=114
Current State: 47:[67, 114], Operations: ['2+65=67', '25+89=114']
Exploring Operation: 114-67=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
34,
30,
36,
96
] | 60 | [
"34-30=4",
"96/4=24",
"36+24=60"
] | Current State: 60:[34, 30, 36, 96], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [36, 96, 4]
Generated Node #2: [36, 96, 4] from Operation: 34-30=4
Current State: 60:[36, 96, 4], Operations: ['34-30=4']
Exploring Operation: 96/4=24, Resulting Numbers: [36, 24]
Generated Node #3: [36, 24] from Operation: 96/4=24
Current State: 60:[36, 24], Operations: ['34-30=4', '96/4=24']
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
22,
72,
62,
45
] | 33 | [
"72-22=50",
"62-45=17",
"50-17=33"
] | Current State: 33:[22, 72, 62, 45], Operations: []
Exploring Operation: 72-22=50, Resulting Numbers: [62, 45, 50]
Generated Node #2: [62, 45, 50] from Operation: 72-22=50
Current State: 33:[62, 45, 50], Operations: ['72-22=50']
Exploring Operation: 62-45=17, Resulting Numbers: [50, 17]
Generated Node #3: [50, 17] from Operation: 62-45=17
Current State: 33:[50, 17], Operations: ['72-22=50', '62-45=17']
Exploring Operation: 50-17=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
63,
8,
48,
99
] | 88 | [
"8+48=56",
"99*56=5544",
"5544/63=88"
] | Current State: 88:[63, 8, 48, 99], Operations: []
Exploring Operation: 8+48=56, Resulting Numbers: [63, 99, 56]
Generated Node #2: [63, 99, 56] from Operation: 8+48=56
Current State: 88:[63, 99, 56], Operations: ['8+48=56']
Exploring Operation: 99*56=5544, Resulting Numbers: [63, 5544]
Generated Node #3: [63, 5544] from Operation: 99*56=5544
Current State: 88:[63, 5544], Operations: ['8+48=56', '99*56=5544']
Exploring Operation: 5544/63=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
4,
50,
63,
13
] | 85 | [
"50-13=37",
"4*37=148",
"148-63=85"
] | Current State: 85:[4, 50, 63, 13], Operations: []
Exploring Operation: 50-13=37, Resulting Numbers: [4, 63, 37]
Generated Node #2: [4, 63, 37] from Operation: 50-13=37
Current State: 85:[4, 63, 37], Operations: ['50-13=37']
Exploring Operation: 4*37=148, Resulting Numbers: [63, 148]
Generated Node #3: [63, 148] from Operation: 4*37=148
Current State: 85:[63, 148], Operations: ['50-13=37', '4*37=148']
Exploring Operation: 148-63=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
78,
99,
93,
14
] | 62 | [
"99-78=21",
"93*14=1302",
"1302/21=62"
] | Current State: 62:[78, 99, 93, 14], Operations: []
Exploring Operation: 99-78=21, Resulting Numbers: [93, 14, 21]
Generated Node #2: [93, 14, 21] from Operation: 99-78=21
Current State: 62:[93, 14, 21], Operations: ['99-78=21']
Exploring Operation: 93*14=1302, Resulting Numbers: [21, 1302]
Generated Node #3: [21, 1302] from Operation: 93*14=1302
Current State: 62:[21, 1302], Operations: ['99-78=21', '93*14=1302']
Exploring Operation: 1302/21=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
32,
4,
76,
15
] | 44 | [
"32/4=8",
"15*8=120",
"120-76=44"
] | Current State: 44:[32, 4, 76, 15], Operations: []
Exploring Operation: 32/4=8, Resulting Numbers: [76, 15, 8]
Generated Node #2: [76, 15, 8] from Operation: 32/4=8
Current State: 44:[76, 15, 8], Operations: ['32/4=8']
Exploring Operation: 15*8=120, Resulting Numbers: [76, 120]
Generated Node #3: [76, 120] from Operation: 15*8=120
Current State: 44:[76, 120], Operations: ['32/4=8', '15*8=120']
Exploring Operation: 120-76=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
76,
32,
35,
17
] | 26 | [
"76-32=44",
"35-17=18",
"44-18=26"
] | Current State: 26:[76, 32, 35, 17], Operations: []
Exploring Operation: 76-32=44, Resulting Numbers: [35, 17, 44]
Generated Node #2: [35, 17, 44] from Operation: 76-32=44
Current State: 26:[35, 17, 44], Operations: ['76-32=44']
Exploring Operation: 35-17=18, Resulting Numbers: [44, 18]
Generated Node #3: [44, 18] from Operation: 35-17=18
Current State: 26:[44, 18], Operations: ['76-32=44', '35-17=18']
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
24,
51,
35,
6
] | 56 | [
"51-24=27",
"35-6=29",
"27+29=56"
] | Current State: 56:[24, 51, 35, 6], Operations: []
Exploring Operation: 51-24=27, Resulting Numbers: [35, 6, 27]
Generated Node #2: [35, 6, 27] from Operation: 51-24=27
Current State: 56:[35, 6, 27], Operations: ['51-24=27']
Exploring Operation: 35-6=29, Resulting Numbers: [27, 29]
Generated Node #3: [27, 29] from Operation: 35-6=29
Current State: 56:[27, 29], Operations: ['51-24=27', '35-6=29']
Exploring Operation: 27+29=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
11,
22,
61,
88
] | 71 | [
"22+88=110",
"110/11=10",
"61+10=71"
] | Current State: 71:[11, 22, 61, 88], Operations: []
Exploring Operation: 22+88=110, Resulting Numbers: [11, 61, 110]
Generated Node #2: [11, 61, 110] from Operation: 22+88=110
Current State: 71:[11, 61, 110], Operations: ['22+88=110']
Exploring Operation: 110/11=10, Resulting Numbers: [61, 10]
Generated Node #3: [61, 10] from Operation: 110/11=10
Current State: 71:[61, 10], Operations: ['22+88=110', '110/11=10']
Exploring Operation: 61+10=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
31,
82,
91,
40
] | 80 | [
"82-31=51",
"91+40=131",
"131-51=80"
] | Current State: 80:[31, 82, 91, 40], Operations: []
Exploring Operation: 82-31=51, Resulting Numbers: [91, 40, 51]
Generated Node #2: [91, 40, 51] from Operation: 82-31=51
Current State: 80:[91, 40, 51], Operations: ['82-31=51']
Exploring Operation: 91+40=131, Resulting Numbers: [51, 131]
Generated Node #3: [51, 131] from Operation: 91+40=131
Current State: 80:[51, 131], Operations: ['82-31=51', '91+40=131']
Exploring Operation: 131-51=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
72,
1,
53,
19
] | 39 | [
"72+1=73",
"53-19=34",
"73-34=39"
] | Current State: 39:[72, 1, 53, 19], Operations: []
Exploring Operation: 72+1=73, Resulting Numbers: [53, 19, 73]
Generated Node #2: [53, 19, 73] from Operation: 72+1=73
Current State: 39:[53, 19, 73], Operations: ['72+1=73']
Exploring Operation: 53-19=34, Resulting Numbers: [73, 34]
Generated Node #3: [73, 34] from Operation: 53-19=34
Current State: 39:[73, 34], Operations: ['72+1=73', '53-19=34']
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
43,
69,
5,
50
] | 29 | [
"69-43=26",
"5+50=55",
"55-26=29"
] | Current State: 29:[43, 69, 5, 50], Operations: []
Exploring Operation: 69-43=26, Resulting Numbers: [5, 50, 26]
Generated Node #2: [5, 50, 26] from Operation: 69-43=26
Current State: 29:[5, 50, 26], Operations: ['69-43=26']
Exploring Operation: 5+50=55, Resulting Numbers: [26, 55]
Generated Node #3: [26, 55] from Operation: 5+50=55
Current State: 29:[26, 55], Operations: ['69-43=26', '5+50=55']
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
31,
70,
31,
36
] | 96 | [
"31+70=101",
"36-31=5",
"101-5=96"
] | Current State: 96:[31, 70, 31, 36], Operations: []
Exploring Operation: 31+70=101, Resulting Numbers: [36, 101]
Generated Node #2: [36, 101] from Operation: 31+70=101
Current State: 96:[36, 101], Operations: ['31+70=101']
Exploring Operation: 36-31=5, Resulting Numbers: [101, 5]
Generated Node #3: [101, 5] from Operation: 36-31=5
Current State: 96:[101, 5], Operations: ['31+70=101', '36-31=5']
Exploring Operation: 101-5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
14,
7,
57,
10
] | 16 | [
"14-10=4",
"7+57=64",
"64/4=16"
] | Current State: 16:[14, 7, 57, 10], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [7, 57, 4]
Generated Node #2: [7, 57, 4] from Operation: 14-10=4
Current State: 16:[7, 57, 4], Operations: ['14-10=4']
Exploring Operation: 7+57=64, Resulting Numbers: [4, 64]
Generated Node #3: [4, 64] from Operation: 7+57=64
Current State: 16:[4, 64], Operations: ['14-10=4', '7+57=64']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
93,
29,
36,
62
] | 24 | [
"93+29=122",
"36+62=98",
"122-98=24"
] | Current State: 24:[93, 29, 36, 62], Operations: []
Exploring Operation: 93+29=122, Resulting Numbers: [36, 62, 122]
Generated Node #2: [36, 62, 122] from Operation: 93+29=122
Current State: 24:[36, 62, 122], Operations: ['93+29=122']
Exploring Operation: 36+62=98, Resulting Numbers: [122, 98]
Generated Node #3: [122, 98] from Operation: 36+62=98
Current State: 24:[122, 98], Operations: ['93+29=122', '36+62=98']
Exploring Operation: 122-98=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
3,
15,
9,
2
] | 19 | [
"15-3=12",
"9-2=7",
"12+7=19"
] | Current State: 19:[3, 15, 9, 2], Operations: []
Exploring Operation: 15-3=12, Resulting Numbers: [9, 2, 12]
Generated Node #2: [9, 2, 12] from Operation: 15-3=12
Current State: 19:[9, 2, 12], Operations: ['15-3=12']
Exploring Operation: 9-2=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 9-2=7
Current State: 19:[12, 7], Operations: ['15-3=12', '9-2=7']
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
38,
44,
85,
9
] | 31 | [
"44-38=6",
"9*6=54",
"85-54=31"
] | Current State: 31:[38, 44, 85, 9], Operations: []
Exploring Operation: 44-38=6, Resulting Numbers: [85, 9, 6]
Generated Node #2: [85, 9, 6] from Operation: 44-38=6
Current State: 31:[85, 9, 6], Operations: ['44-38=6']
Exploring Operation: 9*6=54, Resulting Numbers: [85, 54]
Generated Node #3: [85, 54] from Operation: 9*6=54
Current State: 31:[85, 54], Operations: ['44-38=6', '9*6=54']
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
99,
30,
96,
38
] | 84 | [
"99-96=3",
"38*3=114",
"114-30=84"
] | Current State: 84:[99, 30, 96, 38], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [30, 38, 3]
Generated Node #2: [30, 38, 3] from Operation: 99-96=3
Current State: 84:[30, 38, 3], Operations: ['99-96=3']
Exploring Operation: 38*3=114, Resulting Numbers: [30, 114]
Generated Node #3: [30, 114] from Operation: 38*3=114
Current State: 84:[30, 114], Operations: ['99-96=3', '38*3=114']
Exploring Operation: 114-30=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
89,
55,
17,
80
] | 82 | [
"89-55=34",
"34/17=2",
"80+2=82"
] | Current State: 82:[89, 55, 17, 80], Operations: []
Exploring Operation: 89-55=34, Resulting Numbers: [17, 80, 34]
Generated Node #2: [17, 80, 34] from Operation: 89-55=34
Current State: 82:[17, 80, 34], Operations: ['89-55=34']
Exploring Operation: 34/17=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 34/17=2
Current State: 82:[80, 2], Operations: ['89-55=34', '34/17=2']
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
46,
23,
22,
25
] | 35 | [
"25-23=2",
"22/2=11",
"46-11=35"
] | Current State: 35:[46, 23, 22, 25], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [46, 22, 2]
Generated Node #2: [46, 22, 2] from Operation: 25-23=2
Current State: 35:[46, 22, 2], Operations: ['25-23=2']
Exploring Operation: 22/2=11, Resulting Numbers: [46, 11]
Generated Node #3: [46, 11] from Operation: 22/2=11
Current State: 35:[46, 11], Operations: ['25-23=2', '22/2=11']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
39,
9,
3,
42
] | 75 | [
"39*9=351",
"351/3=117",
"117-42=75"
] | Current State: 75:[39, 9, 3, 42], Operations: []
Exploring Operation: 39*9=351, Resulting Numbers: [3, 42, 351]
Generated Node #2: [3, 42, 351] from Operation: 39*9=351
Current State: 75:[3, 42, 351], Operations: ['39*9=351']
Exploring Operation: 351/3=117, Resulting Numbers: [42, 117]
Generated Node #3: [42, 117] from Operation: 351/3=117
Current State: 75:[42, 117], Operations: ['39*9=351', '351/3=117']
Exploring Operation: 117-42=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
90,
11,
26,
87
] | 59 | [
"90-87=3",
"11*3=33",
"26+33=59"
] | Current State: 59:[90, 11, 26, 87], Operations: []
Exploring Operation: 90-87=3, Resulting Numbers: [11, 26, 3]
Generated Node #2: [11, 26, 3] from Operation: 90-87=3
Current State: 59:[11, 26, 3], Operations: ['90-87=3']
Exploring Operation: 11*3=33, Resulting Numbers: [26, 33]
Generated Node #3: [26, 33] from Operation: 11*3=33
Current State: 59:[26, 33], Operations: ['90-87=3', '11*3=33']
Exploring Operation: 26+33=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
70,
58,
10,
85
] | 35 | [
"70-58=12",
"10*12=120",
"120-85=35"
] | Current State: 35:[70, 58, 10, 85], Operations: []
Exploring Operation: 70-58=12, Resulting Numbers: [10, 85, 12]
Generated Node #2: [10, 85, 12] from Operation: 70-58=12
Current State: 35:[10, 85, 12], Operations: ['70-58=12']
Exploring Operation: 10*12=120, Resulting Numbers: [85, 120]
Generated Node #3: [85, 120] from Operation: 10*12=120
Current State: 35:[85, 120], Operations: ['70-58=12', '10*12=120']
Exploring Operation: 120-85=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
22,
82,
60,
95
] | 96 | [
"82-22=60",
"60/60=1",
"95+1=96"
] | Current State: 96:[22, 82, 60, 95], Operations: []
Exploring Operation: 82-22=60, Resulting Numbers: [60, 95, 60]
Generated Node #2: [60, 95, 60] from Operation: 82-22=60
Current State: 96:[60, 95, 60], Operations: ['82-22=60']
Exploring Operation: 60/60=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 60/60=1
Current State: 96:[95, 1], Operations: ['82-22=60', '60/60=1']
Exploring Operation: 95+1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
38,
3,
61,
25
] | 22 | [
"38-25=13",
"3*13=39",
"61-39=22"
] | Current State: 22:[38, 3, 61, 25], Operations: []
Exploring Operation: 38-25=13, Resulting Numbers: [3, 61, 13]
Generated Node #2: [3, 61, 13] from Operation: 38-25=13
Current State: 22:[3, 61, 13], Operations: ['38-25=13']
Exploring Operation: 3*13=39, Resulting Numbers: [61, 39]
Generated Node #3: [61, 39] from Operation: 3*13=39
Current State: 22:[61, 39], Operations: ['38-25=13', '3*13=39']
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
12,
54,
59,
58
] | 75 | [
"54-12=42",
"59+58=117",
"117-42=75"
] | Current State: 75:[12, 54, 59, 58], Operations: []
Exploring Operation: 54-12=42, Resulting Numbers: [59, 58, 42]
Generated Node #2: [59, 58, 42] from Operation: 54-12=42
Current State: 75:[59, 58, 42], Operations: ['54-12=42']
Exploring Operation: 59+58=117, Resulting Numbers: [42, 117]
Generated Node #3: [42, 117] from Operation: 59+58=117
Current State: 75:[42, 117], Operations: ['54-12=42', '59+58=117']
Exploring Operation: 117-42=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
15,
88,
64,
60
] | 99 | [
"15+88=103",
"64-60=4",
"103-4=99"
] | Current State: 99:[15, 88, 64, 60], Operations: []
Exploring Operation: 15+88=103, Resulting Numbers: [64, 60, 103]
Generated Node #2: [64, 60, 103] from Operation: 15+88=103
Current State: 99:[64, 60, 103], Operations: ['15+88=103']
Exploring Operation: 64-60=4, Resulting Numbers: [103, 4]
Generated Node #3: [103, 4] from Operation: 64-60=4
Current State: 99:[103, 4], Operations: ['15+88=103', '64-60=4']
Exploring Operation: 103-4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
4,
18,
17,
2
] | 61 | [
"4+18=22",
"2*22=44",
"17+44=61"
] | Current State: 61:[4, 18, 17, 2], Operations: []
Exploring Operation: 4+18=22, Resulting Numbers: [17, 2, 22]
Generated Node #2: [17, 2, 22] from Operation: 4+18=22
Current State: 61:[17, 2, 22], Operations: ['4+18=22']
Exploring Operation: 2*22=44, Resulting Numbers: [17, 44]
Generated Node #3: [17, 44] from Operation: 2*22=44
Current State: 61:[17, 44], Operations: ['4+18=22', '2*22=44']
Exploring Operation: 17+44=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
21,
3,
5,
5
] | 17 | [
"21-3=18",
"5/5=1",
"18-1=17"
] | Current State: 17:[21, 3, 5, 5], Operations: []
Exploring Operation: 21-3=18, Resulting Numbers: [5, 5, 18]
Generated Node #2: [5, 5, 18] from Operation: 21-3=18
Current State: 17:[5, 5, 18], Operations: ['21-3=18']
Exploring Operation: 5/5=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 5/5=1
Current State: 17:[18, 1], Operations: ['21-3=18', '5/5=1']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
53,
73,
46,
71
] | 30 | [
"73-71=2",
"46/2=23",
"53-23=30"
] | Current State: 30:[53, 73, 46, 71], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [53, 46, 2]
Generated Node #2: [53, 46, 2] from Operation: 73-71=2
Current State: 30:[53, 46, 2], Operations: ['73-71=2']
Exploring Operation: 46/2=23, Resulting Numbers: [53, 23]
Generated Node #3: [53, 23] from Operation: 46/2=23
Current State: 30:[53, 23], Operations: ['73-71=2', '46/2=23']
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
50,
54,
77,
27
] | 23 | [
"50*54=2700",
"2700/27=100",
"100-77=23"
] | Current State: 23:[50, 54, 77, 27], Operations: []
Exploring Operation: 50*54=2700, Resulting Numbers: [77, 27, 2700]
Generated Node #2: [77, 27, 2700] from Operation: 50*54=2700
Current State: 23:[77, 27, 2700], Operations: ['50*54=2700']
Exploring Operation: 2700/27=100, Resulting Numbers: [77, 100]
Generated Node #3: [77, 100] from Operation: 2700/27=100
Current State: 23:[77, 100], Operations: ['50*54=2700', '2700/27=100']
Exploring Operation: 100-77=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
56,
4,
30,
72
] | 32 | [
"56-30=26",
"4*26=104",
"104-72=32"
] | Current State: 32:[56, 4, 30, 72], Operations: []
Exploring Operation: 56-30=26, Resulting Numbers: [4, 72, 26]
Generated Node #2: [4, 72, 26] from Operation: 56-30=26
Current State: 32:[4, 72, 26], Operations: ['56-30=26']
Exploring Operation: 4*26=104, Resulting Numbers: [72, 104]
Generated Node #3: [72, 104] from Operation: 4*26=104
Current State: 32:[72, 104], Operations: ['56-30=26', '4*26=104']
Exploring Operation: 104-72=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
68,
52,
18,
82
] | 80 | [
"68-52=16",
"82-18=64",
"16+64=80"
] | Current State: 80:[68, 52, 18, 82], Operations: []
Exploring Operation: 68-52=16, Resulting Numbers: [18, 82, 16]
Generated Node #2: [18, 82, 16] from Operation: 68-52=16
Current State: 80:[18, 82, 16], Operations: ['68-52=16']
Exploring Operation: 82-18=64, Resulting Numbers: [16, 64]
Generated Node #3: [16, 64] from Operation: 82-18=64
Current State: 80:[16, 64], Operations: ['68-52=16', '82-18=64']
Exploring Operation: 16+64=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
78,
74,
95,
31
] | 88 | [
"78+74=152",
"95-31=64",
"152-64=88"
] | Current State: 88:[78, 74, 95, 31], Operations: []
Exploring Operation: 78+74=152, Resulting Numbers: [95, 31, 152]
Generated Node #2: [95, 31, 152] from Operation: 78+74=152
Current State: 88:[95, 31, 152], Operations: ['78+74=152']
Exploring Operation: 95-31=64, Resulting Numbers: [152, 64]
Generated Node #3: [152, 64] from Operation: 95-31=64
Current State: 88:[152, 64], Operations: ['78+74=152', '95-31=64']
Exploring Operation: 152-64=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
74,
4,
56,
55
] | 95 | [
"74+55=129",
"4*56=224",
"224-129=95"
] | Current State: 95:[74, 4, 56, 55], Operations: []
Exploring Operation: 74+55=129, Resulting Numbers: [4, 56, 129]
Generated Node #2: [4, 56, 129] from Operation: 74+55=129
Current State: 95:[4, 56, 129], Operations: ['74+55=129']
Exploring Operation: 4*56=224, Resulting Numbers: [129, 224]
Generated Node #3: [129, 224] from Operation: 4*56=224
Current State: 95:[129, 224], Operations: ['74+55=129', '4*56=224']
Exploring Operation: 224-129=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
47,
81,
16,
58
] | 50 | [
"47+81=128",
"128/16=8",
"58-8=50"
] | Current State: 50:[47, 81, 16, 58], Operations: []
Exploring Operation: 47+81=128, Resulting Numbers: [16, 58, 128]
Generated Node #2: [16, 58, 128] from Operation: 47+81=128
Current State: 50:[16, 58, 128], Operations: ['47+81=128']
Exploring Operation: 128/16=8, Resulting Numbers: [58, 8]
Generated Node #3: [58, 8] from Operation: 128/16=8
Current State: 50:[58, 8], Operations: ['47+81=128', '128/16=8']
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
94,
1,
12,
88
] | 60 | [
"94-1=93",
"93-88=5",
"12*5=60"
] | Current State: 60:[94, 1, 12, 88], Operations: []
Exploring Operation: 94-1=93, Resulting Numbers: [12, 88, 93]
Generated Node #2: [12, 88, 93] from Operation: 94-1=93
Current State: 60:[12, 88, 93], Operations: ['94-1=93']
Exploring Operation: 93-88=5, Resulting Numbers: [12, 5]
Generated Node #3: [12, 5] from Operation: 93-88=5
Current State: 60:[12, 5], Operations: ['94-1=93', '93-88=5']
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
39,
21,
63,
58
] | 90 | [
"39-21=18",
"63-58=5",
"18*5=90"
] | Current State: 90:[39, 21, 63, 58], Operations: []
Exploring Operation: 39-21=18, Resulting Numbers: [63, 58, 18]
Generated Node #2: [63, 58, 18] from Operation: 39-21=18
Current State: 90:[63, 58, 18], Operations: ['39-21=18']
Exploring Operation: 63-58=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 63-58=5
Current State: 90:[18, 5], Operations: ['39-21=18', '63-58=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
1,
47,
78,
17
] | 47 | [
"1+47=48",
"78+17=95",
"95-48=47"
] | Current State: 47:[1, 47, 78, 17], Operations: []
Exploring Operation: 1+47=48, Resulting Numbers: [78, 17, 48]
Generated Node #2: [78, 17, 48] from Operation: 1+47=48
Current State: 47:[78, 17, 48], Operations: ['1+47=48']
Exploring Operation: 78+17=95, Resulting Numbers: [48, 95]
Generated Node #3: [48, 95] from Operation: 78+17=95
Current State: 47:[48, 95], Operations: ['1+47=48', '78+17=95']
Exploring Operation: 95-48=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
42,
35,
23,
72
] | 18 | [
"42+35=77",
"23+72=95",
"95-77=18"
] | Current State: 18:[42, 35, 23, 72], Operations: []
Exploring Operation: 42+35=77, Resulting Numbers: [23, 72, 77]
Generated Node #2: [23, 72, 77] from Operation: 42+35=77
Current State: 18:[23, 72, 77], Operations: ['42+35=77']
Exploring Operation: 23+72=95, Resulting Numbers: [77, 95]
Generated Node #3: [77, 95] from Operation: 23+72=95
Current State: 18:[77, 95], Operations: ['42+35=77', '23+72=95']
Exploring Operation: 95-77=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
76,
1,
34,
37
] | 68 | [
"76*34=2584",
"1+37=38",
"2584/38=68"
] | Current State: 68:[76, 1, 34, 37], Operations: []
Exploring Operation: 76*34=2584, Resulting Numbers: [1, 37, 2584]
Generated Node #2: [1, 37, 2584] from Operation: 76*34=2584
Current State: 68:[1, 37, 2584], Operations: ['76*34=2584']
Exploring Operation: 1+37=38, Resulting Numbers: [2584, 38]
Generated Node #3: [2584, 38] from Operation: 1+37=38
Current State: 68:[2584, 38], Operations: ['76*34=2584', '1+37=38']
Exploring Operation: 2584/38=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
31,
39,
80,
63
] | 87 | [
"31+39=70",
"80-63=17",
"70+17=87"
] | Current State: 87:[31, 39, 80, 63], Operations: []
Exploring Operation: 31+39=70, Resulting Numbers: [80, 63, 70]
Generated Node #2: [80, 63, 70] from Operation: 31+39=70
Current State: 87:[80, 63, 70], Operations: ['31+39=70']
Exploring Operation: 80-63=17, Resulting Numbers: [70, 17]
Generated Node #3: [70, 17] from Operation: 80-63=17
Current State: 87:[70, 17], Operations: ['31+39=70', '80-63=17']
Exploring Operation: 70+17=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
21,
35,
2,
96
] | 55 | [
"35-21=14",
"96+14=110",
"110/2=55"
] | Current State: 55:[21, 35, 2, 96], Operations: []
Exploring Operation: 35-21=14, Resulting Numbers: [2, 96, 14]
Generated Node #2: [2, 96, 14] from Operation: 35-21=14
Current State: 55:[2, 96, 14], Operations: ['35-21=14']
Exploring Operation: 96+14=110, Resulting Numbers: [2, 110]
Generated Node #3: [2, 110] from Operation: 96+14=110
Current State: 55:[2, 110], Operations: ['35-21=14', '96+14=110']
Exploring Operation: 110/2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
31,
44,
83,
7
] | 63 | [
"44-31=13",
"83-7=76",
"76-13=63"
] | Current State: 63:[31, 44, 83, 7], Operations: []
Exploring Operation: 44-31=13, Resulting Numbers: [83, 7, 13]
Generated Node #2: [83, 7, 13] from Operation: 44-31=13
Current State: 63:[83, 7, 13], Operations: ['44-31=13']
Exploring Operation: 83-7=76, Resulting Numbers: [13, 76]
Generated Node #3: [13, 76] from Operation: 83-7=76
Current State: 63:[13, 76], Operations: ['44-31=13', '83-7=76']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
12,
8,
15,
98
] | 79 | [
"12-8=4",
"98-15=83",
"83-4=79"
] | Current State: 79:[12, 8, 15, 98], Operations: []
Exploring Operation: 12-8=4, Resulting Numbers: [15, 98, 4]
Generated Node #2: [15, 98, 4] from Operation: 12-8=4
Current State: 79:[15, 98, 4], Operations: ['12-8=4']
Exploring Operation: 98-15=83, Resulting Numbers: [4, 83]
Generated Node #3: [4, 83] from Operation: 98-15=83
Current State: 79:[4, 83], Operations: ['12-8=4', '98-15=83']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
59,
79,
1,
97
] | 40 | [
"59+79=138",
"1+97=98",
"138-98=40"
] | Current State: 40:[59, 79, 1, 97], Operations: []
Exploring Operation: 59+79=138, Resulting Numbers: [1, 97, 138]
Generated Node #2: [1, 97, 138] from Operation: 59+79=138
Current State: 40:[1, 97, 138], Operations: ['59+79=138']
Exploring Operation: 1+97=98, Resulting Numbers: [138, 98]
Generated Node #3: [138, 98] from Operation: 1+97=98
Current State: 40:[138, 98], Operations: ['59+79=138', '1+97=98']
Exploring Operation: 138-98=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
12,
92,
25,
67
] | 13 | [
"92-25=67",
"67/67=1",
"12+1=13"
] | Current State: 13:[12, 92, 25, 67], Operations: []
Exploring Operation: 92-25=67, Resulting Numbers: [12, 67, 67]
Generated Node #2: [12, 67, 67] from Operation: 92-25=67
Current State: 13:[12, 67, 67], Operations: ['92-25=67']
Exploring Operation: 67/67=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 67/67=1
Current State: 13:[12, 1], Operations: ['92-25=67', '67/67=1']
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
28,
37,
89,
84
] | 70 | [
"28+37=65",
"89-84=5",
"65+5=70"
] | Current State: 70:[28, 37, 89, 84], Operations: []
Exploring Operation: 28+37=65, Resulting Numbers: [89, 84, 65]
Generated Node #2: [89, 84, 65] from Operation: 28+37=65
Current State: 70:[89, 84, 65], Operations: ['28+37=65']
Exploring Operation: 89-84=5, Resulting Numbers: [65, 5]
Generated Node #3: [65, 5] from Operation: 89-84=5
Current State: 70:[65, 5], Operations: ['28+37=65', '89-84=5']
Exploring Operation: 65+5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
16,
97,
92,
87
] | 17 | [
"92-87=5",
"16*5=80",
"97-80=17"
] | Current State: 17:[16, 97, 92, 87], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [16, 97, 5]
Generated Node #2: [16, 97, 5] from Operation: 92-87=5
Current State: 17:[16, 97, 5], Operations: ['92-87=5']
Exploring Operation: 16*5=80, Resulting Numbers: [97, 80]
Generated Node #3: [97, 80] from Operation: 16*5=80
Current State: 17:[97, 80], Operations: ['92-87=5', '16*5=80']
Exploring Operation: 97-80=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
9,
98,
17,
95
] | 29 | [
"9+98=107",
"95-17=78",
"107-78=29"
] | Current State: 29:[9, 98, 17, 95], Operations: []
Exploring Operation: 9+98=107, Resulting Numbers: [17, 95, 107]
Generated Node #2: [17, 95, 107] from Operation: 9+98=107
Current State: 29:[17, 95, 107], Operations: ['9+98=107']
Exploring Operation: 95-17=78, Resulting Numbers: [107, 78]
Generated Node #3: [107, 78] from Operation: 95-17=78
Current State: 29:[107, 78], Operations: ['9+98=107', '95-17=78']
Exploring Operation: 107-78=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
40,
83,
61,
5
] | 57 | [
"40+83=123",
"61+5=66",
"123-66=57"
] | Current State: 57:[40, 83, 61, 5], Operations: []
Exploring Operation: 40+83=123, Resulting Numbers: [61, 5, 123]
Generated Node #2: [61, 5, 123] from Operation: 40+83=123
Current State: 57:[61, 5, 123], Operations: ['40+83=123']
Exploring Operation: 61+5=66, Resulting Numbers: [123, 66]
Generated Node #3: [123, 66] from Operation: 61+5=66
Current State: 57:[123, 66], Operations: ['40+83=123', '61+5=66']
Exploring Operation: 123-66=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
36,
27,
32,
44
] | 64 | [
"36-32=4",
"27*4=108",
"108-44=64"
] | Current State: 64:[36, 27, 32, 44], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [27, 44, 4]
Generated Node #2: [27, 44, 4] from Operation: 36-32=4
Current State: 64:[27, 44, 4], Operations: ['36-32=4']
Exploring Operation: 27*4=108, Resulting Numbers: [44, 108]
Generated Node #3: [44, 108] from Operation: 27*4=108
Current State: 64:[44, 108], Operations: ['36-32=4', '27*4=108']
Exploring Operation: 108-44=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
93,
27,
31,
17
] | 64 | [
"93*27=2511",
"2511/31=81",
"81-17=64"
] | Current State: 64:[93, 27, 31, 17], Operations: []
Exploring Operation: 93*27=2511, Resulting Numbers: [31, 17, 2511]
Generated Node #2: [31, 17, 2511] from Operation: 93*27=2511
Current State: 64:[31, 17, 2511], Operations: ['93*27=2511']
Exploring Operation: 2511/31=81, Resulting Numbers: [17, 81]
Generated Node #3: [17, 81] from Operation: 2511/31=81
Current State: 64:[17, 81], Operations: ['93*27=2511', '2511/31=81']
Exploring Operation: 81-17=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
8,
96,
72,
19
] | 13 | [
"8+96=104",
"72+19=91",
"104-91=13"
] | Current State: 13:[8, 96, 72, 19], Operations: []
Exploring Operation: 8+96=104, Resulting Numbers: [72, 19, 104]
Generated Node #2: [72, 19, 104] from Operation: 8+96=104
Current State: 13:[72, 19, 104], Operations: ['8+96=104']
Exploring Operation: 72+19=91, Resulting Numbers: [104, 91]
Generated Node #3: [104, 91] from Operation: 72+19=91
Current State: 13:[104, 91], Operations: ['8+96=104', '72+19=91']
Exploring Operation: 104-91=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
81,
77,
87,
24
] | 67 | [
"81-77=4",
"87-24=63",
"4+63=67"
] | Current State: 67:[81, 77, 87, 24], Operations: []
Exploring Operation: 81-77=4, Resulting Numbers: [87, 24, 4]
Generated Node #2: [87, 24, 4] from Operation: 81-77=4
Current State: 67:[87, 24, 4], Operations: ['81-77=4']
Exploring Operation: 87-24=63, Resulting Numbers: [4, 63]
Generated Node #3: [4, 63] from Operation: 87-24=63
Current State: 67:[4, 63], Operations: ['81-77=4', '87-24=63']
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
5,
60,
2,
55
] | 47 | [
"55/5=11",
"60-2=58",
"58-11=47"
] | Current State: 47:[5, 60, 2, 55], Operations: []
Exploring Operation: 55/5=11, Resulting Numbers: [60, 2, 11]
Generated Node #2: [60, 2, 11] from Operation: 55/5=11
Current State: 47:[60, 2, 11], Operations: ['55/5=11']
Exploring Operation: 60-2=58, Resulting Numbers: [11, 58]
Generated Node #3: [11, 58] from Operation: 60-2=58
Current State: 47:[11, 58], Operations: ['55/5=11', '60-2=58']
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
72,
24,
5,
21
] | 35 | [
"72/24=3",
"5*21=105",
"105/3=35"
] | Current State: 35:[72, 24, 5, 21], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [5, 21, 3]
Generated Node #2: [5, 21, 3] from Operation: 72/24=3
Current State: 35:[5, 21, 3], Operations: ['72/24=3']
Exploring Operation: 5*21=105, Resulting Numbers: [3, 105]
Generated Node #3: [3, 105] from Operation: 5*21=105
Current State: 35:[3, 105], Operations: ['72/24=3', '5*21=105']
Exploring Operation: 105/3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
2,
7,
93,
25
] | 98 | [
"7-2=5",
"25/5=5",
"93+5=98"
] | Current State: 98:[2, 7, 93, 25], Operations: []
Exploring Operation: 7-2=5, Resulting Numbers: [93, 25, 5]
Generated Node #2: [93, 25, 5] from Operation: 7-2=5
Current State: 98:[93, 25, 5], Operations: ['7-2=5']
Exploring Operation: 25/5=5, Resulting Numbers: [93, 5]
Generated Node #3: [93, 5] from Operation: 25/5=5
Current State: 98:[93, 5], Operations: ['7-2=5', '25/5=5']
Exploring Operation: 93+5=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
72,
72,
83,
40
] | 43 | [
"72-72=0",
"83-40=43",
"0+43=43"
] | Current State: 43:[72, 72, 83, 40], Operations: []
Exploring Operation: 72-72=0, Resulting Numbers: [83, 40, 0]
Generated Node #2: [83, 40, 0] from Operation: 72-72=0
Current State: 43:[83, 40, 0], Operations: ['72-72=0']
Exploring Operation: 83-40=43, Resulting Numbers: [0, 43]
Generated Node #3: [0, 43] from Operation: 83-40=43
Current State: 43:[0, 43], Operations: ['72-72=0', '83-40=43']
Exploring Operation: 0+43=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
34,
56,
38,
3
] | 19 | [
"56-34=22",
"38+3=41",
"41-22=19"
] | Current State: 19:[34, 56, 38, 3], Operations: []
Exploring Operation: 56-34=22, Resulting Numbers: [38, 3, 22]
Generated Node #2: [38, 3, 22] from Operation: 56-34=22
Current State: 19:[38, 3, 22], Operations: ['56-34=22']
Exploring Operation: 38+3=41, Resulting Numbers: [22, 41]
Generated Node #3: [22, 41] from Operation: 38+3=41
Current State: 19:[22, 41], Operations: ['56-34=22', '38+3=41']
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
43,
34,
74,
72
] | 69 | [
"43+34=77",
"74+72=146",
"146-77=69"
] | Current State: 69:[43, 34, 74, 72], Operations: []
Exploring Operation: 43+34=77, Resulting Numbers: [74, 72, 77]
Generated Node #2: [74, 72, 77] from Operation: 43+34=77
Current State: 69:[74, 72, 77], Operations: ['43+34=77']
Exploring Operation: 74+72=146, Resulting Numbers: [77, 146]
Generated Node #3: [77, 146] from Operation: 74+72=146
Current State: 69:[77, 146], Operations: ['43+34=77', '74+72=146']
Exploring Operation: 146-77=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
56,
76,
56,
64
] | 76 | [
"56-56=0",
"64*0=0",
"76+0=76"
] | Current State: 76:[56, 76, 56, 64], Operations: []
Exploring Operation: 56-56=0, Resulting Numbers: [76, 64, 0]
Generated Node #2: [76, 64, 0] from Operation: 56-56=0
Current State: 76:[76, 64, 0], Operations: ['56-56=0']
Exploring Operation: 64*0=0, Resulting Numbers: [76, 0]
Generated Node #3: [76, 0] from Operation: 64*0=0
Current State: 76:[76, 0], Operations: ['56-56=0', '64*0=0']
Exploring Operation: 76+0=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
53,
29,
17,
29
] | 37 | [
"53-17=36",
"29/29=1",
"36+1=37"
] | Current State: 37:[53, 29, 17, 29], Operations: []
Exploring Operation: 53-17=36, Resulting Numbers: [29, 29, 36]
Generated Node #2: [29, 29, 36] from Operation: 53-17=36
Current State: 37:[29, 29, 36], Operations: ['53-17=36']
Exploring Operation: 29/29=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 29/29=1
Current State: 37:[36, 1], Operations: ['53-17=36', '29/29=1']
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
42,
27,
47,
3
] | 29 | [
"42-27=15",
"47-3=44",
"44-15=29"
] | Current State: 29:[42, 27, 47, 3], Operations: []
Exploring Operation: 42-27=15, Resulting Numbers: [47, 3, 15]
Generated Node #2: [47, 3, 15] from Operation: 42-27=15
Current State: 29:[47, 3, 15], Operations: ['42-27=15']
Exploring Operation: 47-3=44, Resulting Numbers: [15, 44]
Generated Node #3: [15, 44] from Operation: 47-3=44
Current State: 29:[15, 44], Operations: ['42-27=15', '47-3=44']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
72,
46,
48,
16
] | 78 | [
"72-46=26",
"48/16=3",
"26*3=78"
] | Current State: 78:[72, 46, 48, 16], Operations: []
Exploring Operation: 72-46=26, Resulting Numbers: [48, 16, 26]
Generated Node #2: [48, 16, 26] from Operation: 72-46=26
Current State: 78:[48, 16, 26], Operations: ['72-46=26']
Exploring Operation: 48/16=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 48/16=3
Current State: 78:[26, 3], Operations: ['72-46=26', '48/16=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
48,
54,
39,
78
] | 91 | [
"48+78=126",
"39*126=4914",
"4914/54=91"
] | Current State: 91:[48, 54, 39, 78], Operations: []
Exploring Operation: 48+78=126, Resulting Numbers: [54, 39, 126]
Generated Node #2: [54, 39, 126] from Operation: 48+78=126
Current State: 91:[54, 39, 126], Operations: ['48+78=126']
Exploring Operation: 39*126=4914, Resulting Numbers: [54, 4914]
Generated Node #3: [54, 4914] from Operation: 39*126=4914
Current State: 91:[54, 4914], Operations: ['48+78=126', '39*126=4914']
Exploring Operation: 4914/54=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
60,
12,
24,
36
] | 67 | [
"24*36=864",
"864-60=804",
"804/12=67"
] | Current State: 67:[60, 12, 24, 36], Operations: []
Exploring Operation: 24*36=864, Resulting Numbers: [60, 12, 864]
Generated Node #2: [60, 12, 864] from Operation: 24*36=864
Current State: 67:[60, 12, 864], Operations: ['24*36=864']
Exploring Operation: 864-60=804, Resulting Numbers: [12, 804]
Generated Node #3: [12, 804] from Operation: 864-60=804
Current State: 67:[12, 804], Operations: ['24*36=864', '864-60=804']
Exploring Operation: 804/12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
83,
20,
94,
78
] | 87 | [
"83+20=103",
"94-78=16",
"103-16=87"
] | Current State: 87:[83, 20, 94, 78], Operations: []
Exploring Operation: 83+20=103, Resulting Numbers: [94, 78, 103]
Generated Node #2: [94, 78, 103] from Operation: 83+20=103
Current State: 87:[94, 78, 103], Operations: ['83+20=103']
Exploring Operation: 94-78=16, Resulting Numbers: [103, 16]
Generated Node #3: [103, 16] from Operation: 94-78=16
Current State: 87:[103, 16], Operations: ['83+20=103', '94-78=16']
Exploring Operation: 103-16=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
9,
83,
28,
23
] | 41 | [
"9+83=92",
"28+23=51",
"92-51=41"
] | Current State: 41:[9, 83, 28, 23], Operations: []
Exploring Operation: 9+83=92, Resulting Numbers: [28, 23, 92]
Generated Node #2: [28, 23, 92] from Operation: 9+83=92
Current State: 41:[28, 23, 92], Operations: ['9+83=92']
Exploring Operation: 28+23=51, Resulting Numbers: [92, 51]
Generated Node #3: [92, 51] from Operation: 28+23=51
Current State: 41:[92, 51], Operations: ['9+83=92', '28+23=51']
Exploring Operation: 92-51=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
92,
60,
76,
73
] | 72 | [
"76-73=3",
"60/3=20",
"92-20=72"
] | Current State: 72:[92, 60, 76, 73], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [92, 60, 3]
Generated Node #2: [92, 60, 3] from Operation: 76-73=3
Current State: 72:[92, 60, 3], Operations: ['76-73=3']
Exploring Operation: 60/3=20, Resulting Numbers: [92, 20]
Generated Node #3: [92, 20] from Operation: 60/3=20
Current State: 72:[92, 20], Operations: ['76-73=3', '60/3=20']
Exploring Operation: 92-20=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
7,
10,
75,
7
] | 51 | [
"7+10=17",
"75-7=68",
"68-17=51"
] | Current State: 51:[7, 10, 75, 7], Operations: []
Exploring Operation: 7+10=17, Resulting Numbers: [75, 17]
Generated Node #2: [75, 17] from Operation: 7+10=17
Current State: 51:[75, 17], Operations: ['7+10=17']
Exploring Operation: 75-7=68, Resulting Numbers: [17, 68]
Generated Node #3: [17, 68] from Operation: 75-7=68
Current State: 51:[17, 68], Operations: ['7+10=17', '75-7=68']
Exploring Operation: 68-17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
46,
99,
55,
30
] | 78 | [
"99-46=53",
"55-30=25",
"53+25=78"
] | Current State: 78:[46, 99, 55, 30], Operations: []
Exploring Operation: 99-46=53, Resulting Numbers: [55, 30, 53]
Generated Node #2: [55, 30, 53] from Operation: 99-46=53
Current State: 78:[55, 30, 53], Operations: ['99-46=53']
Exploring Operation: 55-30=25, Resulting Numbers: [53, 25]
Generated Node #3: [53, 25] from Operation: 55-30=25
Current State: 78:[53, 25], Operations: ['99-46=53', '55-30=25']
Exploring Operation: 53+25=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
13,
3,
11,
49
] | 95 | [
"13-11=2",
"49*2=98",
"98-3=95"
] | Current State: 95:[13, 3, 11, 49], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [3, 49, 2]
Generated Node #2: [3, 49, 2] from Operation: 13-11=2
Current State: 95:[3, 49, 2], Operations: ['13-11=2']
Exploring Operation: 49*2=98, Resulting Numbers: [3, 98]
Generated Node #3: [3, 98] from Operation: 49*2=98
Current State: 95:[3, 98], Operations: ['13-11=2', '49*2=98']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
27,
56,
96,
87
] | 38 | [
"56-27=29",
"96-87=9",
"29+9=38"
] | Current State: 38:[27, 56, 96, 87], Operations: []
Exploring Operation: 56-27=29, Resulting Numbers: [96, 87, 29]
Generated Node #2: [96, 87, 29] from Operation: 56-27=29
Current State: 38:[96, 87, 29], Operations: ['56-27=29']
Exploring Operation: 96-87=9, Resulting Numbers: [29, 9]
Generated Node #3: [29, 9] from Operation: 96-87=9
Current State: 38:[29, 9], Operations: ['56-27=29', '96-87=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
24,
95,
24,
27
] | 27 | [
"24-24=0",
"95*0=0",
"27+0=27"
] | Current State: 27:[24, 95, 24, 27], Operations: []
Exploring Operation: 24-24=0, Resulting Numbers: [95, 27, 0]
Generated Node #2: [95, 27, 0] from Operation: 24-24=0
Current State: 27:[95, 27, 0], Operations: ['24-24=0']
Exploring Operation: 95*0=0, Resulting Numbers: [27, 0]
Generated Node #3: [27, 0] from Operation: 95*0=0
Current State: 27:[27, 0], Operations: ['24-24=0', '95*0=0']
Exploring Operation: 27+0=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
40,
3,
65,
67
] | 86 | [
"40+3=43",
"67-65=2",
"43*2=86"
] | Current State: 86:[40, 3, 65, 67], Operations: []
Exploring Operation: 40+3=43, Resulting Numbers: [65, 67, 43]
Generated Node #2: [65, 67, 43] from Operation: 40+3=43
Current State: 86:[65, 67, 43], Operations: ['40+3=43']
Exploring Operation: 67-65=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 67-65=2
Current State: 86:[43, 2], Operations: ['40+3=43', '67-65=2']
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
45,
56,
10,
75
] | 76 | [
"56-45=11",
"75-10=65",
"11+65=76"
] | Current State: 76:[45, 56, 10, 75], Operations: []
Exploring Operation: 56-45=11, Resulting Numbers: [10, 75, 11]
Generated Node #2: [10, 75, 11] from Operation: 56-45=11
Current State: 76:[10, 75, 11], Operations: ['56-45=11']
Exploring Operation: 75-10=65, Resulting Numbers: [11, 65]
Generated Node #3: [11, 65] from Operation: 75-10=65
Current State: 76:[11, 65], Operations: ['56-45=11', '75-10=65']
Exploring Operation: 11+65=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
8,
52,
4,
56
] | 41 | [
"8+52=60",
"60/4=15",
"56-15=41"
] | Current State: 41:[8, 52, 4, 56], Operations: []
Exploring Operation: 8+52=60, Resulting Numbers: [4, 56, 60]
Generated Node #2: [4, 56, 60] from Operation: 8+52=60
Current State: 41:[4, 56, 60], Operations: ['8+52=60']
Exploring Operation: 60/4=15, Resulting Numbers: [56, 15]
Generated Node #3: [56, 15] from Operation: 60/4=15
Current State: 41:[56, 15], Operations: ['8+52=60', '60/4=15']
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
38,
96,
3,
54
] | 64 | [
"38*96=3648",
"3+54=57",
"3648/57=64"
] | Current State: 64:[38, 96, 3, 54], Operations: []
Exploring Operation: 38*96=3648, Resulting Numbers: [3, 54, 3648]
Generated Node #2: [3, 54, 3648] from Operation: 38*96=3648
Current State: 64:[3, 54, 3648], Operations: ['38*96=3648']
Exploring Operation: 3+54=57, Resulting Numbers: [3648, 57]
Generated Node #3: [3648, 57] from Operation: 3+54=57
Current State: 64:[3648, 57], Operations: ['38*96=3648', '3+54=57']
Exploring Operation: 3648/57=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
3,
35,
76,
57
] | 48 | [
"76-35=41",
"57-41=16",
"3*16=48"
] | Current State: 48:[3, 35, 76, 57], Operations: []
Exploring Operation: 76-35=41, Resulting Numbers: [3, 57, 41]
Generated Node #2: [3, 57, 41] from Operation: 76-35=41
Current State: 48:[3, 57, 41], Operations: ['76-35=41']
Exploring Operation: 57-41=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 57-41=16
Current State: 48:[3, 16], Operations: ['76-35=41', '57-41=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
64,
32,
30,
4
] | 70 | [
"64+32=96",
"30-4=26",
"96-26=70"
] | Current State: 70:[64, 32, 30, 4], Operations: []
Exploring Operation: 64+32=96, Resulting Numbers: [30, 4, 96]
Generated Node #2: [30, 4, 96] from Operation: 64+32=96
Current State: 70:[30, 4, 96], Operations: ['64+32=96']
Exploring Operation: 30-4=26, Resulting Numbers: [96, 26]
Generated Node #3: [96, 26] from Operation: 30-4=26
Current State: 70:[96, 26], Operations: ['64+32=96', '30-4=26']
Exploring Operation: 96-26=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
1,
41,
1,
64
] | 41 | [
"1-1=0",
"64*0=0",
"41+0=41"
] | Current State: 41:[1, 41, 1, 64], Operations: []
Exploring Operation: 1-1=0, Resulting Numbers: [41, 64, 0]
Generated Node #2: [41, 64, 0] from Operation: 1-1=0
Current State: 41:[41, 64, 0], Operations: ['1-1=0']
Exploring Operation: 64*0=0, Resulting Numbers: [41, 0]
Generated Node #3: [41, 0] from Operation: 64*0=0
Current State: 41:[41, 0], Operations: ['1-1=0', '64*0=0']
Exploring Operation: 41+0=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
64,
22,
44,
61
] | 66 | [
"64-61=3",
"44-22=22",
"3*22=66"
] | Current State: 66:[64, 22, 44, 61], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [22, 44, 3]
Generated Node #2: [22, 44, 3] from Operation: 64-61=3
Current State: 66:[22, 44, 3], Operations: ['64-61=3']
Exploring Operation: 44-22=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 44-22=22
Current State: 66:[3, 22], Operations: ['64-61=3', '44-22=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
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