nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
21,
70,
53,
35
] | 58 | [
"35-21=14",
"70/14=5",
"53+5=58"
] | Current State: 58:[21, 70, 53, 35], Operations: []
Exploring Operation: 35-21=14, Resulting Numbers: [70, 53, 14]
Generated Node #2: [70, 53, 14] from Operation: 35-21=14
Current State: 58:[70, 53, 14], Operations: ['35-21=14']
Exploring Operation: 70/14=5, Resulting Numbers: [53, 5]
Generated Node #3: [53, 5] from Operation: 70/14=5
Current State: 58:[53, 5], Operations: ['35-21=14', '70/14=5']
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
63,
40,
8,
13
] | 37 | [
"8+13=21",
"63/21=3",
"40-3=37"
] | Current State: 37:[63, 40, 8, 13], Operations: []
Exploring Operation: 8+13=21, Resulting Numbers: [63, 40, 21]
Generated Node #2: [63, 40, 21] from Operation: 8+13=21
Current State: 37:[63, 40, 21], Operations: ['8+13=21']
Exploring Operation: 63/21=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 63/21=3
Current State: 37:[40, 3], Operations: ['8+13=21', '63/21=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
64,
55,
16,
66
] | 23 | [
"66-64=2",
"16*2=32",
"55-32=23"
] | Current State: 23:[64, 55, 16, 66], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [55, 16, 2]
Generated Node #2: [55, 16, 2] from Operation: 66-64=2
Current State: 23:[55, 16, 2], Operations: ['66-64=2']
Exploring Operation: 16*2=32, Resulting Numbers: [55, 32]
Generated Node #3: [55, 32] from Operation: 16*2=32
Current State: 23:[55, 32], Operations: ['66-64=2', '16*2=32']
Exploring Operation: 55-32=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
58,
29,
20,
29
] | 18 | [
"58/29=2",
"29-20=9",
"2*9=18"
] | Current State: 18:[58, 29, 20, 29], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [20, 2]
Generated Node #2: [20, 2] from Operation: 58/29=2
Current State: 18:[20, 2], Operations: ['58/29=2']
Exploring Operation: 29-20=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 29-20=9
Current State: 18:[2, 9], Operations: ['58/29=2', '29-20=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
87,
29,
52,
50
] | 98 | [
"87/29=3",
"50*3=150",
"150-52=98"
] | Current State: 98:[87, 29, 52, 50], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [52, 50, 3]
Generated Node #2: [52, 50, 3] from Operation: 87/29=3
Current State: 98:[52, 50, 3], Operations: ['87/29=3']
Exploring Operation: 50*3=150, Resulting Numbers: [52, 150]
Generated Node #3: [52, 150] from Operation: 50*3=150
Current State: 98:[52, 150], Operations: ['87/29=3', '50*3=150']
Exploring Operation: 150-52=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
38,
69,
93,
86
] | 89 | [
"69-38=31",
"93/31=3",
"86+3=89"
] | Current State: 89:[38, 69, 93, 86], Operations: []
Exploring Operation: 69-38=31, Resulting Numbers: [93, 86, 31]
Generated Node #2: [93, 86, 31] from Operation: 69-38=31
Current State: 89:[93, 86, 31], Operations: ['69-38=31']
Exploring Operation: 93/31=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 93/31=3
Current State: 89:[86, 3], Operations: ['69-38=31', '93/31=3']
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
3,
85,
41,
60
] | 48 | [
"85-41=44",
"60-44=16",
"3*16=48"
] | Current State: 48:[3, 85, 41, 60], Operations: []
Exploring Operation: 85-41=44, Resulting Numbers: [3, 60, 44]
Generated Node #2: [3, 60, 44] from Operation: 85-41=44
Current State: 48:[3, 60, 44], Operations: ['85-41=44']
Exploring Operation: 60-44=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 60-44=16
Current State: 48:[3, 16], Operations: ['85-41=44', '60-44=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
90,
79,
80,
81
] | 70 | [
"81-79=2",
"80*2=160",
"160-90=70"
] | Current State: 70:[90, 79, 80, 81], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [90, 80, 2]
Generated Node #2: [90, 80, 2] from Operation: 81-79=2
Current State: 70:[90, 80, 2], Operations: ['81-79=2']
Exploring Operation: 80*2=160, Resulting Numbers: [90, 160]
Generated Node #3: [90, 160] from Operation: 80*2=160
Current State: 70:[90, 160], Operations: ['81-79=2', '80*2=160']
Exploring Operation: 160-90=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
49,
83,
76,
41
] | 69 | [
"83-49=34",
"76-41=35",
"34+35=69"
] | Current State: 69:[49, 83, 76, 41], Operations: []
Exploring Operation: 83-49=34, Resulting Numbers: [76, 41, 34]
Generated Node #2: [76, 41, 34] from Operation: 83-49=34
Current State: 69:[76, 41, 34], Operations: ['83-49=34']
Exploring Operation: 76-41=35, Resulting Numbers: [34, 35]
Generated Node #3: [34, 35] from Operation: 76-41=35
Current State: 69:[34, 35], Operations: ['83-49=34', '76-41=35']
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
4,
38,
25,
60
] | 78 | [
"4*25=100",
"60-38=22",
"100-22=78"
] | Current State: 78:[4, 38, 25, 60], Operations: []
Exploring Operation: 4*25=100, Resulting Numbers: [38, 60, 100]
Generated Node #2: [38, 60, 100] from Operation: 4*25=100
Current State: 78:[38, 60, 100], Operations: ['4*25=100']
Exploring Operation: 60-38=22, Resulting Numbers: [100, 22]
Generated Node #3: [100, 22] from Operation: 60-38=22
Current State: 78:[100, 22], Operations: ['4*25=100', '60-38=22']
Exploring Operation: 100-22=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
38,
66,
4,
86
] | 35 | [
"38+86=124",
"124/4=31",
"66-31=35"
] | Current State: 35:[38, 66, 4, 86], Operations: []
Exploring Operation: 38+86=124, Resulting Numbers: [66, 4, 124]
Generated Node #2: [66, 4, 124] from Operation: 38+86=124
Current State: 35:[66, 4, 124], Operations: ['38+86=124']
Exploring Operation: 124/4=31, Resulting Numbers: [66, 31]
Generated Node #3: [66, 31] from Operation: 124/4=31
Current State: 35:[66, 31], Operations: ['38+86=124', '124/4=31']
Exploring Operation: 66-31=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
82,
71,
14,
73
] | 27 | [
"73-71=2",
"82/2=41",
"41-14=27"
] | Current State: 27:[82, 71, 14, 73], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [82, 14, 2]
Generated Node #2: [82, 14, 2] from Operation: 73-71=2
Current State: 27:[82, 14, 2], Operations: ['73-71=2']
Exploring Operation: 82/2=41, Resulting Numbers: [14, 41]
Generated Node #3: [14, 41] from Operation: 82/2=41
Current State: 27:[14, 41], Operations: ['73-71=2', '82/2=41']
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
7,
7,
75,
84
] | 81 | [
"7+7=14",
"84/14=6",
"75+6=81"
] | Current State: 81:[7, 7, 75, 84], Operations: []
Exploring Operation: 7+7=14, Resulting Numbers: [75, 84, 14]
Generated Node #2: [75, 84, 14] from Operation: 7+7=14
Current State: 81:[75, 84, 14], Operations: ['7+7=14']
Exploring Operation: 84/14=6, Resulting Numbers: [75, 6]
Generated Node #3: [75, 6] from Operation: 84/14=6
Current State: 81:[75, 6], Operations: ['7+7=14', '84/14=6']
Exploring Operation: 75+6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
91,
83,
5,
17
] | 30 | [
"91-83=8",
"5+17=22",
"8+22=30"
] | Current State: 30:[91, 83, 5, 17], Operations: []
Exploring Operation: 91-83=8, Resulting Numbers: [5, 17, 8]
Generated Node #2: [5, 17, 8] from Operation: 91-83=8
Current State: 30:[5, 17, 8], Operations: ['91-83=8']
Exploring Operation: 5+17=22, Resulting Numbers: [8, 22]
Generated Node #3: [8, 22] from Operation: 5+17=22
Current State: 30:[8, 22], Operations: ['91-83=8', '5+17=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
20,
78,
2,
48
] | 20 | [
"78-20=58",
"58-48=10",
"2*10=20"
] | Current State: 20:[20, 78, 2, 48], Operations: []
Exploring Operation: 78-20=58, Resulting Numbers: [2, 48, 58]
Generated Node #2: [2, 48, 58] from Operation: 78-20=58
Current State: 20:[2, 48, 58], Operations: ['78-20=58']
Exploring Operation: 58-48=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 58-48=10
Current State: 20:[2, 10], Operations: ['78-20=58', '58-48=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
35,
33,
11,
23
] | 35 | [
"35-33=2",
"23*2=46",
"46-11=35"
] | Current State: 35:[35, 33, 11, 23], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [11, 23, 2]
Generated Node #2: [11, 23, 2] from Operation: 35-33=2
Current State: 35:[11, 23, 2], Operations: ['35-33=2']
Exploring Operation: 23*2=46, Resulting Numbers: [11, 46]
Generated Node #3: [11, 46] from Operation: 23*2=46
Current State: 35:[11, 46], Operations: ['35-33=2', '23*2=46']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
82,
5,
74,
50
] | 18 | [
"82-74=8",
"50/5=10",
"8+10=18"
] | Current State: 18:[82, 5, 74, 50], Operations: []
Exploring Operation: 82-74=8, Resulting Numbers: [5, 50, 8]
Generated Node #2: [5, 50, 8] from Operation: 82-74=8
Current State: 18:[5, 50, 8], Operations: ['82-74=8']
Exploring Operation: 50/5=10, Resulting Numbers: [8, 10]
Generated Node #3: [8, 10] from Operation: 50/5=10
Current State: 18:[8, 10], Operations: ['82-74=8', '50/5=10']
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
21,
4,
18,
86
] | 87 | [
"21-4=17",
"18+86=104",
"104-17=87"
] | Current State: 87:[21, 4, 18, 86], Operations: []
Exploring Operation: 21-4=17, Resulting Numbers: [18, 86, 17]
Generated Node #2: [18, 86, 17] from Operation: 21-4=17
Current State: 87:[18, 86, 17], Operations: ['21-4=17']
Exploring Operation: 18+86=104, Resulting Numbers: [17, 104]
Generated Node #3: [17, 104] from Operation: 18+86=104
Current State: 87:[17, 104], Operations: ['21-4=17', '18+86=104']
Exploring Operation: 104-17=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
85,
24,
2,
42
] | 17 | [
"85-24=61",
"2+42=44",
"61-44=17"
] | Current State: 17:[85, 24, 2, 42], Operations: []
Exploring Operation: 85-24=61, Resulting Numbers: [2, 42, 61]
Generated Node #2: [2, 42, 61] from Operation: 85-24=61
Current State: 17:[2, 42, 61], Operations: ['85-24=61']
Exploring Operation: 2+42=44, Resulting Numbers: [61, 44]
Generated Node #3: [61, 44] from Operation: 2+42=44
Current State: 17:[61, 44], Operations: ['85-24=61', '2+42=44']
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
11,
13,
65,
12
] | 89 | [
"13-11=2",
"12*2=24",
"65+24=89"
] | Current State: 89:[11, 13, 65, 12], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [65, 12, 2]
Generated Node #2: [65, 12, 2] from Operation: 13-11=2
Current State: 89:[65, 12, 2], Operations: ['13-11=2']
Exploring Operation: 12*2=24, Resulting Numbers: [65, 24]
Generated Node #3: [65, 24] from Operation: 12*2=24
Current State: 89:[65, 24], Operations: ['13-11=2', '12*2=24']
Exploring Operation: 65+24=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
85,
87,
3,
83
] | 85 | [
"85+87=172",
"83+172=255",
"255/3=85"
] | Current State: 85:[85, 87, 3, 83], Operations: []
Exploring Operation: 85+87=172, Resulting Numbers: [3, 83, 172]
Generated Node #2: [3, 83, 172] from Operation: 85+87=172
Current State: 85:[3, 83, 172], Operations: ['85+87=172']
Exploring Operation: 83+172=255, Resulting Numbers: [3, 255]
Generated Node #3: [3, 255] from Operation: 83+172=255
Current State: 85:[3, 255], Operations: ['85+87=172', '83+172=255']
Exploring Operation: 255/3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
85,
48,
81,
12
] | 64 | [
"85+48=133",
"81-12=69",
"133-69=64"
] | Current State: 64:[85, 48, 81, 12], Operations: []
Exploring Operation: 85+48=133, Resulting Numbers: [81, 12, 133]
Generated Node #2: [81, 12, 133] from Operation: 85+48=133
Current State: 64:[81, 12, 133], Operations: ['85+48=133']
Exploring Operation: 81-12=69, Resulting Numbers: [133, 69]
Generated Node #3: [133, 69] from Operation: 81-12=69
Current State: 64:[133, 69], Operations: ['85+48=133', '81-12=69']
Exploring Operation: 133-69=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
1,
2,
57,
69
] | 50 | [
"1+2=3",
"57/3=19",
"69-19=50"
] | Current State: 50:[1, 2, 57, 69], Operations: []
Exploring Operation: 1+2=3, Resulting Numbers: [57, 69, 3]
Generated Node #2: [57, 69, 3] from Operation: 1+2=3
Current State: 50:[57, 69, 3], Operations: ['1+2=3']
Exploring Operation: 57/3=19, Resulting Numbers: [69, 19]
Generated Node #3: [69, 19] from Operation: 57/3=19
Current State: 50:[69, 19], Operations: ['1+2=3', '57/3=19']
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
95,
61,
71,
98
] | 61 | [
"95-61=34",
"98-71=27",
"34+27=61"
] | Current State: 61:[95, 61, 71, 98], Operations: []
Exploring Operation: 95-61=34, Resulting Numbers: [71, 98, 34]
Generated Node #2: [71, 98, 34] from Operation: 95-61=34
Current State: 61:[71, 98, 34], Operations: ['95-61=34']
Exploring Operation: 98-71=27, Resulting Numbers: [34, 27]
Generated Node #3: [34, 27] from Operation: 98-71=27
Current State: 61:[34, 27], Operations: ['95-61=34', '98-71=27']
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
78,
56,
17,
53
] | 48 | [
"78-56=22",
"17+53=70",
"70-22=48"
] | Current State: 48:[78, 56, 17, 53], Operations: []
Exploring Operation: 78-56=22, Resulting Numbers: [17, 53, 22]
Generated Node #2: [17, 53, 22] from Operation: 78-56=22
Current State: 48:[17, 53, 22], Operations: ['78-56=22']
Exploring Operation: 17+53=70, Resulting Numbers: [22, 70]
Generated Node #3: [22, 70] from Operation: 17+53=70
Current State: 48:[22, 70], Operations: ['78-56=22', '17+53=70']
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
31,
98,
37,
62
] | 30 | [
"31+98=129",
"37+62=99",
"129-99=30"
] | Current State: 30:[31, 98, 37, 62], Operations: []
Exploring Operation: 31+98=129, Resulting Numbers: [37, 62, 129]
Generated Node #2: [37, 62, 129] from Operation: 31+98=129
Current State: 30:[37, 62, 129], Operations: ['31+98=129']
Exploring Operation: 37+62=99, Resulting Numbers: [129, 99]
Generated Node #3: [129, 99] from Operation: 37+62=99
Current State: 30:[129, 99], Operations: ['31+98=129', '37+62=99']
Exploring Operation: 129-99=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
99,
3,
11,
94
] | 64 | [
"11+94=105",
"105/3=35",
"99-35=64"
] | Current State: 64:[99, 3, 11, 94], Operations: []
Exploring Operation: 11+94=105, Resulting Numbers: [99, 3, 105]
Generated Node #2: [99, 3, 105] from Operation: 11+94=105
Current State: 64:[99, 3, 105], Operations: ['11+94=105']
Exploring Operation: 105/3=35, Resulting Numbers: [99, 35]
Generated Node #3: [99, 35] from Operation: 105/3=35
Current State: 64:[99, 35], Operations: ['11+94=105', '105/3=35']
Exploring Operation: 99-35=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
53,
32,
81,
78
] | 35 | [
"81+78=159",
"159/53=3",
"32+3=35"
] | Current State: 35:[53, 32, 81, 78], Operations: []
Exploring Operation: 81+78=159, Resulting Numbers: [53, 32, 159]
Generated Node #2: [53, 32, 159] from Operation: 81+78=159
Current State: 35:[53, 32, 159], Operations: ['81+78=159']
Exploring Operation: 159/53=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 159/53=3
Current State: 35:[32, 3], Operations: ['81+78=159', '159/53=3']
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
79,
7,
24,
75
] | 21 | [
"79-7=72",
"75-24=51",
"72-51=21"
] | Current State: 21:[79, 7, 24, 75], Operations: []
Exploring Operation: 79-7=72, Resulting Numbers: [24, 75, 72]
Generated Node #2: [24, 75, 72] from Operation: 79-7=72
Current State: 21:[24, 75, 72], Operations: ['79-7=72']
Exploring Operation: 75-24=51, Resulting Numbers: [72, 51]
Generated Node #3: [72, 51] from Operation: 75-24=51
Current State: 21:[72, 51], Operations: ['79-7=72', '75-24=51']
Exploring Operation: 72-51=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
67,
5,
92,
27
] | 84 | [
"67-27=40",
"40/5=8",
"92-8=84"
] | Current State: 84:[67, 5, 92, 27], Operations: []
Exploring Operation: 67-27=40, Resulting Numbers: [5, 92, 40]
Generated Node #2: [5, 92, 40] from Operation: 67-27=40
Current State: 84:[5, 92, 40], Operations: ['67-27=40']
Exploring Operation: 40/5=8, Resulting Numbers: [92, 8]
Generated Node #3: [92, 8] from Operation: 40/5=8
Current State: 84:[92, 8], Operations: ['67-27=40', '40/5=8']
Exploring Operation: 92-8=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
95,
26,
23,
13
] | 36 | [
"95-23=72",
"26/13=2",
"72/2=36"
] | Current State: 36:[95, 26, 23, 13], Operations: []
Exploring Operation: 95-23=72, Resulting Numbers: [26, 13, 72]
Generated Node #2: [26, 13, 72] from Operation: 95-23=72
Current State: 36:[26, 13, 72], Operations: ['95-23=72']
Exploring Operation: 26/13=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 26/13=2
Current State: 36:[72, 2], Operations: ['95-23=72', '26/13=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
53,
27,
5,
3
] | 17 | [
"53-3=50",
"50/5=10",
"27-10=17"
] | Current State: 17:[53, 27, 5, 3], Operations: []
Exploring Operation: 53-3=50, Resulting Numbers: [27, 5, 50]
Generated Node #2: [27, 5, 50] from Operation: 53-3=50
Current State: 17:[27, 5, 50], Operations: ['53-3=50']
Exploring Operation: 50/5=10, Resulting Numbers: [27, 10]
Generated Node #3: [27, 10] from Operation: 50/5=10
Current State: 17:[27, 10], Operations: ['53-3=50', '50/5=10']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
36,
87,
6,
45
] | 72 | [
"36+87=123",
"6+45=51",
"123-51=72"
] | Current State: 72:[36, 87, 6, 45], Operations: []
Exploring Operation: 36+87=123, Resulting Numbers: [6, 45, 123]
Generated Node #2: [6, 45, 123] from Operation: 36+87=123
Current State: 72:[6, 45, 123], Operations: ['36+87=123']
Exploring Operation: 6+45=51, Resulting Numbers: [123, 51]
Generated Node #3: [123, 51] from Operation: 6+45=51
Current State: 72:[123, 51], Operations: ['36+87=123', '6+45=51']
Exploring Operation: 123-51=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
42,
50,
95,
67
] | 64 | [
"42+50=92",
"95-67=28",
"92-28=64"
] | Current State: 64:[42, 50, 95, 67], Operations: []
Exploring Operation: 42+50=92, Resulting Numbers: [95, 67, 92]
Generated Node #2: [95, 67, 92] from Operation: 42+50=92
Current State: 64:[95, 67, 92], Operations: ['42+50=92']
Exploring Operation: 95-67=28, Resulting Numbers: [92, 28]
Generated Node #3: [92, 28] from Operation: 95-67=28
Current State: 64:[92, 28], Operations: ['42+50=92', '95-67=28']
Exploring Operation: 92-28=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
5,
20,
64,
50
] | 99 | [
"20-5=15",
"64+50=114",
"114-15=99"
] | Current State: 99:[5, 20, 64, 50], Operations: []
Exploring Operation: 20-5=15, Resulting Numbers: [64, 50, 15]
Generated Node #2: [64, 50, 15] from Operation: 20-5=15
Current State: 99:[64, 50, 15], Operations: ['20-5=15']
Exploring Operation: 64+50=114, Resulting Numbers: [15, 114]
Generated Node #3: [15, 114] from Operation: 64+50=114
Current State: 99:[15, 114], Operations: ['20-5=15', '64+50=114']
Exploring Operation: 114-15=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
59,
17,
84,
31
] | 14 | [
"59-31=28",
"84/28=3",
"17-3=14"
] | Current State: 14:[59, 17, 84, 31], Operations: []
Exploring Operation: 59-31=28, Resulting Numbers: [17, 84, 28]
Generated Node #2: [17, 84, 28] from Operation: 59-31=28
Current State: 14:[17, 84, 28], Operations: ['59-31=28']
Exploring Operation: 84/28=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 84/28=3
Current State: 14:[17, 3], Operations: ['59-31=28', '84/28=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
33,
23,
46,
41
] | 61 | [
"33+23=56",
"46-41=5",
"56+5=61"
] | Current State: 61:[33, 23, 46, 41], Operations: []
Exploring Operation: 33+23=56, Resulting Numbers: [46, 41, 56]
Generated Node #2: [46, 41, 56] from Operation: 33+23=56
Current State: 61:[46, 41, 56], Operations: ['33+23=56']
Exploring Operation: 46-41=5, Resulting Numbers: [56, 5]
Generated Node #3: [56, 5] from Operation: 46-41=5
Current State: 61:[56, 5], Operations: ['33+23=56', '46-41=5']
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
80,
8,
81,
5
] | 45 | [
"80-8=72",
"81-72=9",
"5*9=45"
] | Current State: 45:[80, 8, 81, 5], Operations: []
Exploring Operation: 80-8=72, Resulting Numbers: [81, 5, 72]
Generated Node #2: [81, 5, 72] from Operation: 80-8=72
Current State: 45:[81, 5, 72], Operations: ['80-8=72']
Exploring Operation: 81-72=9, Resulting Numbers: [5, 9]
Generated Node #3: [5, 9] from Operation: 81-72=9
Current State: 45:[5, 9], Operations: ['80-8=72', '81-72=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
99,
86,
29,
89
] | 47 | [
"99-86=13",
"89-29=60",
"60-13=47"
] | Current State: 47:[99, 86, 29, 89], Operations: []
Exploring Operation: 99-86=13, Resulting Numbers: [29, 89, 13]
Generated Node #2: [29, 89, 13] from Operation: 99-86=13
Current State: 47:[29, 89, 13], Operations: ['99-86=13']
Exploring Operation: 89-29=60, Resulting Numbers: [13, 60]
Generated Node #3: [13, 60] from Operation: 89-29=60
Current State: 47:[13, 60], Operations: ['99-86=13', '89-29=60']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
20,
96,
34,
4
] | 38 | [
"96-20=76",
"34+4=38",
"76-38=38"
] | Current State: 38:[20, 96, 34, 4], Operations: []
Exploring Operation: 96-20=76, Resulting Numbers: [34, 4, 76]
Generated Node #2: [34, 4, 76] from Operation: 96-20=76
Current State: 38:[34, 4, 76], Operations: ['96-20=76']
Exploring Operation: 34+4=38, Resulting Numbers: [76, 38]
Generated Node #3: [76, 38] from Operation: 34+4=38
Current State: 38:[76, 38], Operations: ['96-20=76', '34+4=38']
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
28,
5,
28,
84
] | 43 | [
"84/28=3",
"5*3=15",
"28+15=43"
] | Current State: 43:[28, 5, 28, 84], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [5, 3]
Generated Node #2: [5, 3] from Operation: 84/28=3
Current State: 43:[5, 3], Operations: ['84/28=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,43 equal: Goal Reached
Exploring Operation: 28+15=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
36,
49,
1,
24
] | 38 | [
"49-36=13",
"1+24=25",
"13+25=38"
] | Current State: 38:[36, 49, 1, 24], Operations: []
Exploring Operation: 49-36=13, Resulting Numbers: [1, 24, 13]
Generated Node #2: [1, 24, 13] from Operation: 49-36=13
Current State: 38:[1, 24, 13], Operations: ['49-36=13']
Exploring Operation: 1+24=25, Resulting Numbers: [13, 25]
Generated Node #3: [13, 25] from Operation: 1+24=25
Current State: 38:[13, 25], Operations: ['49-36=13', '1+24=25']
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
39,
91,
49,
37
] | 16 | [
"39*49=1911",
"1911/91=21",
"37-21=16"
] | Current State: 16:[39, 91, 49, 37], Operations: []
Exploring Operation: 39*49=1911, Resulting Numbers: [91, 37, 1911]
Generated Node #2: [91, 37, 1911] from Operation: 39*49=1911
Current State: 16:[91, 37, 1911], Operations: ['39*49=1911']
Exploring Operation: 1911/91=21, Resulting Numbers: [37, 21]
Generated Node #3: [37, 21] from Operation: 1911/91=21
Current State: 16:[37, 21], Operations: ['39*49=1911', '1911/91=21']
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
11,
69,
85,
24
] | 19 | [
"11+69=80",
"85-24=61",
"80-61=19"
] | Current State: 19:[11, 69, 85, 24], Operations: []
Exploring Operation: 11+69=80, Resulting Numbers: [85, 24, 80]
Generated Node #2: [85, 24, 80] from Operation: 11+69=80
Current State: 19:[85, 24, 80], Operations: ['11+69=80']
Exploring Operation: 85-24=61, Resulting Numbers: [80, 61]
Generated Node #3: [80, 61] from Operation: 85-24=61
Current State: 19:[80, 61], Operations: ['11+69=80', '85-24=61']
Exploring Operation: 80-61=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
1,
81,
32,
27
] | 36 | [
"1+32=33",
"81/27=3",
"33+3=36"
] | Current State: 36:[1, 81, 32, 27], Operations: []
Exploring Operation: 1+32=33, Resulting Numbers: [81, 27, 33]
Generated Node #2: [81, 27, 33] from Operation: 1+32=33
Current State: 36:[81, 27, 33], Operations: ['1+32=33']
Exploring Operation: 81/27=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 81/27=3
Current State: 36:[33, 3], Operations: ['1+32=33', '81/27=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
87,
20,
63,
40
] | 10 | [
"87-20=67",
"67-63=4",
"40/4=10"
] | Current State: 10:[87, 20, 63, 40], Operations: []
Exploring Operation: 87-20=67, Resulting Numbers: [63, 40, 67]
Generated Node #2: [63, 40, 67] from Operation: 87-20=67
Current State: 10:[63, 40, 67], Operations: ['87-20=67']
Exploring Operation: 67-63=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 67-63=4
Current State: 10:[40, 4], Operations: ['87-20=67', '67-63=4']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
56,
28,
24,
29
] | 19 | [
"56/28=2",
"24*2=48",
"48-29=19"
] | Current State: 19:[56, 28, 24, 29], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [24, 29, 2]
Generated Node #2: [24, 29, 2] from Operation: 56/28=2
Current State: 19:[24, 29, 2], Operations: ['56/28=2']
Exploring Operation: 24*2=48, Resulting Numbers: [29, 48]
Generated Node #3: [29, 48] from Operation: 24*2=48
Current State: 19:[29, 48], Operations: ['56/28=2', '24*2=48']
Exploring Operation: 48-29=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
9,
65,
67,
16
] | 72 | [
"9*16=144",
"67-65=2",
"144/2=72"
] | Current State: 72:[9, 65, 67, 16], Operations: []
Exploring Operation: 9*16=144, Resulting Numbers: [65, 67, 144]
Generated Node #2: [65, 67, 144] from Operation: 9*16=144
Current State: 72:[65, 67, 144], Operations: ['9*16=144']
Exploring Operation: 67-65=2, Resulting Numbers: [144, 2]
Generated Node #3: [144, 2] from Operation: 67-65=2
Current State: 72:[144, 2], Operations: ['9*16=144', '67-65=2']
Exploring Operation: 144/2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
57,
65,
46,
81
] | 43 | [
"65-57=8",
"81-46=35",
"8+35=43"
] | Current State: 43:[57, 65, 46, 81], Operations: []
Exploring Operation: 65-57=8, Resulting Numbers: [46, 81, 8]
Generated Node #2: [46, 81, 8] from Operation: 65-57=8
Current State: 43:[46, 81, 8], Operations: ['65-57=8']
Exploring Operation: 81-46=35, Resulting Numbers: [8, 35]
Generated Node #3: [8, 35] from Operation: 81-46=35
Current State: 43:[8, 35], Operations: ['65-57=8', '81-46=35']
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
44,
2,
4,
98
] | 25 | [
"44+4=48",
"98-48=50",
"50/2=25"
] | Current State: 25:[44, 2, 4, 98], Operations: []
Exploring Operation: 44+4=48, Resulting Numbers: [2, 98, 48]
Generated Node #2: [2, 98, 48] from Operation: 44+4=48
Current State: 25:[2, 98, 48], Operations: ['44+4=48']
Exploring Operation: 98-48=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 98-48=50
Current State: 25:[2, 50], Operations: ['44+4=48', '98-48=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
15,
75,
17,
3
] | 37 | [
"75-15=60",
"60/3=20",
"17+20=37"
] | Current State: 37:[15, 75, 17, 3], Operations: []
Exploring Operation: 75-15=60, Resulting Numbers: [17, 3, 60]
Generated Node #2: [17, 3, 60] from Operation: 75-15=60
Current State: 37:[17, 3, 60], Operations: ['75-15=60']
Exploring Operation: 60/3=20, Resulting Numbers: [17, 20]
Generated Node #3: [17, 20] from Operation: 60/3=20
Current State: 37:[17, 20], Operations: ['75-15=60', '60/3=20']
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
15,
63,
70,
97
] | 89 | [
"15+63=78",
"70+97=167",
"167-78=89"
] | Current State: 89:[15, 63, 70, 97], Operations: []
Exploring Operation: 15+63=78, Resulting Numbers: [70, 97, 78]
Generated Node #2: [70, 97, 78] from Operation: 15+63=78
Current State: 89:[70, 97, 78], Operations: ['15+63=78']
Exploring Operation: 70+97=167, Resulting Numbers: [78, 167]
Generated Node #3: [78, 167] from Operation: 70+97=167
Current State: 89:[78, 167], Operations: ['15+63=78', '70+97=167']
Exploring Operation: 167-78=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
62,
76,
72,
12
] | 59 | [
"76-72=4",
"12/4=3",
"62-3=59"
] | Current State: 59:[62, 76, 72, 12], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [62, 12, 4]
Generated Node #2: [62, 12, 4] from Operation: 76-72=4
Current State: 59:[62, 12, 4], Operations: ['76-72=4']
Exploring Operation: 12/4=3, Resulting Numbers: [62, 3]
Generated Node #3: [62, 3] from Operation: 12/4=3
Current State: 59:[62, 3], Operations: ['76-72=4', '12/4=3']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
37,
46,
9,
56
] | 56 | [
"46-37=9",
"9+56=65",
"65-9=56"
] | Current State: 56:[37, 46, 9, 56], Operations: []
Exploring Operation: 46-37=9, Resulting Numbers: [9, 56, 9]
Generated Node #2: [9, 56, 9] from Operation: 46-37=9
Current State: 56:[9, 56, 9], Operations: ['46-37=9']
Exploring Operation: 9+56=65, Resulting Numbers: [65]
65,56 equal: Goal Reached
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
67,
64,
57,
32
] | 39 | [
"67-64=3",
"32*3=96",
"96-57=39"
] | Current State: 39:[67, 64, 57, 32], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [57, 32, 3]
Generated Node #2: [57, 32, 3] from Operation: 67-64=3
Current State: 39:[57, 32, 3], Operations: ['67-64=3']
Exploring Operation: 32*3=96, Resulting Numbers: [57, 96]
Generated Node #3: [57, 96] from Operation: 32*3=96
Current State: 39:[57, 96], Operations: ['67-64=3', '32*3=96']
Exploring Operation: 96-57=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
60,
12,
53,
7
] | 10 | [
"60+53=113",
"7+113=120",
"120/12=10"
] | Current State: 10:[60, 12, 53, 7], Operations: []
Exploring Operation: 60+53=113, Resulting Numbers: [12, 7, 113]
Generated Node #2: [12, 7, 113] from Operation: 60+53=113
Current State: 10:[12, 7, 113], Operations: ['60+53=113']
Exploring Operation: 7+113=120, Resulting Numbers: [12, 120]
Generated Node #3: [12, 120] from Operation: 7+113=120
Current State: 10:[12, 120], Operations: ['60+53=113', '7+113=120']
Exploring Operation: 120/12=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
48,
50,
14,
51
] | 68 | [
"48*51=2448",
"50-14=36",
"2448/36=68"
] | Current State: 68:[48, 50, 14, 51], Operations: []
Exploring Operation: 48*51=2448, Resulting Numbers: [50, 14, 2448]
Generated Node #2: [50, 14, 2448] from Operation: 48*51=2448
Current State: 68:[50, 14, 2448], Operations: ['48*51=2448']
Exploring Operation: 50-14=36, Resulting Numbers: [2448, 36]
Generated Node #3: [2448, 36] from Operation: 50-14=36
Current State: 68:[2448, 36], Operations: ['48*51=2448', '50-14=36']
Exploring Operation: 2448/36=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
59,
83,
32,
66
] | 58 | [
"83-59=24",
"66-32=34",
"24+34=58"
] | Current State: 58:[59, 83, 32, 66], Operations: []
Exploring Operation: 83-59=24, Resulting Numbers: [32, 66, 24]
Generated Node #2: [32, 66, 24] from Operation: 83-59=24
Current State: 58:[32, 66, 24], Operations: ['83-59=24']
Exploring Operation: 66-32=34, Resulting Numbers: [24, 34]
Generated Node #3: [24, 34] from Operation: 66-32=34
Current State: 58:[24, 34], Operations: ['83-59=24', '66-32=34']
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
8,
69,
29,
16
] | 80 | [
"16/8=2",
"69-29=40",
"2*40=80"
] | Current State: 80:[8, 69, 29, 16], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [69, 29, 2]
Generated Node #2: [69, 29, 2] from Operation: 16/8=2
Current State: 80:[69, 29, 2], Operations: ['16/8=2']
Exploring Operation: 69-29=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 69-29=40
Current State: 80:[2, 40], Operations: ['16/8=2', '69-29=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
31,
34,
63,
53
] | 74 | [
"34-31=3",
"63/3=21",
"53+21=74"
] | Current State: 74:[31, 34, 63, 53], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [63, 53, 3]
Generated Node #2: [63, 53, 3] from Operation: 34-31=3
Current State: 74:[63, 53, 3], Operations: ['34-31=3']
Exploring Operation: 63/3=21, Resulting Numbers: [53, 21]
Generated Node #3: [53, 21] from Operation: 63/3=21
Current State: 74:[53, 21], Operations: ['34-31=3', '63/3=21']
Exploring Operation: 53+21=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
86,
89,
20,
3
] | 20 | [
"89-86=3",
"20+3=23",
"23-3=20"
] | Current State: 20:[86, 89, 20, 3], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [20, 3, 3]
Generated Node #2: [20, 3, 3] from Operation: 89-86=3
Current State: 20:[20, 3, 3], Operations: ['89-86=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,20 equal: Goal Reached
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
19,
34,
14,
38
] | 31 | [
"19*34=646",
"646/38=17",
"14+17=31"
] | Current State: 31:[19, 34, 14, 38], Operations: []
Exploring Operation: 19*34=646, Resulting Numbers: [14, 38, 646]
Generated Node #2: [14, 38, 646] from Operation: 19*34=646
Current State: 31:[14, 38, 646], Operations: ['19*34=646']
Exploring Operation: 646/38=17, Resulting Numbers: [14, 17]
Generated Node #3: [14, 17] from Operation: 646/38=17
Current State: 31:[14, 17], Operations: ['19*34=646', '646/38=17']
Exploring Operation: 14+17=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
60,
21,
7,
70
] | 57 | [
"70-7=63",
"63/21=3",
"60-3=57"
] | Current State: 57:[60, 21, 7, 70], Operations: []
Exploring Operation: 70-7=63, Resulting Numbers: [60, 21, 63]
Generated Node #2: [60, 21, 63] from Operation: 70-7=63
Current State: 57:[60, 21, 63], Operations: ['70-7=63']
Exploring Operation: 63/21=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 63/21=3
Current State: 57:[60, 3], Operations: ['70-7=63', '63/21=3']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
33,
3,
28,
26
] | 39 | [
"28-26=2",
"3*2=6",
"33+6=39"
] | Current State: 39:[33, 3, 28, 26], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [33, 3, 2]
Generated Node #2: [33, 3, 2] from Operation: 28-26=2
Current State: 39:[33, 3, 2], Operations: ['28-26=2']
Exploring Operation: 3*2=6, Resulting Numbers: [33, 6]
Generated Node #3: [33, 6] from Operation: 3*2=6
Current State: 39:[33, 6], Operations: ['28-26=2', '3*2=6']
Exploring Operation: 33+6=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
34,
45,
63,
63
] | 47 | [
"34+45=79",
"63+63=126",
"126-79=47"
] | Current State: 47:[34, 45, 63, 63], Operations: []
Exploring Operation: 34+45=79, Resulting Numbers: [63, 63, 79]
Generated Node #2: [63, 63, 79] from Operation: 34+45=79
Current State: 47:[63, 63, 79], Operations: ['34+45=79']
Exploring Operation: 63+63=126, Resulting Numbers: [79, 126]
Generated Node #3: [79, 126] from Operation: 63+63=126
Current State: 47:[79, 126], Operations: ['34+45=79', '63+63=126']
Exploring Operation: 126-79=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
3,
52,
69,
48
] | 13 | [
"69+48=117",
"117/3=39",
"52-39=13"
] | Current State: 13:[3, 52, 69, 48], Operations: []
Exploring Operation: 69+48=117, Resulting Numbers: [3, 52, 117]
Generated Node #2: [3, 52, 117] from Operation: 69+48=117
Current State: 13:[3, 52, 117], Operations: ['69+48=117']
Exploring Operation: 117/3=39, Resulting Numbers: [52, 39]
Generated Node #3: [52, 39] from Operation: 117/3=39
Current State: 13:[52, 39], Operations: ['69+48=117', '117/3=39']
Exploring Operation: 52-39=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
9,
20,
18,
65
] | 58 | [
"20-9=11",
"65-18=47",
"11+47=58"
] | Current State: 58:[9, 20, 18, 65], Operations: []
Exploring Operation: 20-9=11, Resulting Numbers: [18, 65, 11]
Generated Node #2: [18, 65, 11] from Operation: 20-9=11
Current State: 58:[18, 65, 11], Operations: ['20-9=11']
Exploring Operation: 65-18=47, Resulting Numbers: [11, 47]
Generated Node #3: [11, 47] from Operation: 65-18=47
Current State: 58:[11, 47], Operations: ['20-9=11', '65-18=47']
Exploring Operation: 11+47=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
61,
42,
22,
2
] | 29 | [
"42+22=64",
"64/2=32",
"61-32=29"
] | Current State: 29:[61, 42, 22, 2], Operations: []
Exploring Operation: 42+22=64, Resulting Numbers: [61, 2, 64]
Generated Node #2: [61, 2, 64] from Operation: 42+22=64
Current State: 29:[61, 2, 64], Operations: ['42+22=64']
Exploring Operation: 64/2=32, Resulting Numbers: [61, 32]
Generated Node #3: [61, 32] from Operation: 64/2=32
Current State: 29:[61, 32], Operations: ['42+22=64', '64/2=32']
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
7,
21,
95,
22
] | 38 | [
"7*22=154",
"21+95=116",
"154-116=38"
] | Current State: 38:[7, 21, 95, 22], Operations: []
Exploring Operation: 7*22=154, Resulting Numbers: [21, 95, 154]
Generated Node #2: [21, 95, 154] from Operation: 7*22=154
Current State: 38:[21, 95, 154], Operations: ['7*22=154']
Exploring Operation: 21+95=116, Resulting Numbers: [154, 116]
Generated Node #3: [154, 116] from Operation: 21+95=116
Current State: 38:[154, 116], Operations: ['7*22=154', '21+95=116']
Exploring Operation: 154-116=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
11,
69,
11,
27
] | 25 | [
"11*11=121",
"69+27=96",
"121-96=25"
] | Current State: 25:[11, 69, 11, 27], Operations: []
Exploring Operation: 11*11=121, Resulting Numbers: [69, 27, 121]
Generated Node #2: [69, 27, 121] from Operation: 11*11=121
Current State: 25:[69, 27, 121], Operations: ['11*11=121']
Exploring Operation: 69+27=96, Resulting Numbers: [121, 96]
Generated Node #3: [121, 96] from Operation: 69+27=96
Current State: 25:[121, 96], Operations: ['11*11=121', '69+27=96']
Exploring Operation: 121-96=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
98,
25,
5,
23
] | 40 | [
"98-23=75",
"75/5=15",
"25+15=40"
] | Current State: 40:[98, 25, 5, 23], Operations: []
Exploring Operation: 98-23=75, Resulting Numbers: [25, 5, 75]
Generated Node #2: [25, 5, 75] from Operation: 98-23=75
Current State: 40:[25, 5, 75], Operations: ['98-23=75']
Exploring Operation: 75/5=15, Resulting Numbers: [25, 15]
Generated Node #3: [25, 15] from Operation: 75/5=15
Current State: 40:[25, 15], Operations: ['98-23=75', '75/5=15']
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
74,
54,
61,
11
] | 92 | [
"74-54=20",
"61+11=72",
"20+72=92"
] | Current State: 92:[74, 54, 61, 11], Operations: []
Exploring Operation: 74-54=20, Resulting Numbers: [61, 11, 20]
Generated Node #2: [61, 11, 20] from Operation: 74-54=20
Current State: 92:[61, 11, 20], Operations: ['74-54=20']
Exploring Operation: 61+11=72, Resulting Numbers: [20, 72]
Generated Node #3: [20, 72] from Operation: 61+11=72
Current State: 92:[20, 72], Operations: ['74-54=20', '61+11=72']
Exploring Operation: 20+72=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
18,
91,
35,
38
] | 76 | [
"91-18=73",
"38-35=3",
"73+3=76"
] | Current State: 76:[18, 91, 35, 38], Operations: []
Exploring Operation: 91-18=73, Resulting Numbers: [35, 38, 73]
Generated Node #2: [35, 38, 73] from Operation: 91-18=73
Current State: 76:[35, 38, 73], Operations: ['91-18=73']
Exploring Operation: 38-35=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 38-35=3
Current State: 76:[73, 3], Operations: ['91-18=73', '38-35=3']
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
11,
19,
13,
67
] | 37 | [
"19-11=8",
"13*8=104",
"104-67=37"
] | Current State: 37:[11, 19, 13, 67], Operations: []
Exploring Operation: 19-11=8, Resulting Numbers: [13, 67, 8]
Generated Node #2: [13, 67, 8] from Operation: 19-11=8
Current State: 37:[13, 67, 8], Operations: ['19-11=8']
Exploring Operation: 13*8=104, Resulting Numbers: [67, 104]
Generated Node #3: [67, 104] from Operation: 13*8=104
Current State: 37:[67, 104], Operations: ['19-11=8', '13*8=104']
Exploring Operation: 104-67=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
5,
69,
56,
51
] | 84 | [
"51-5=46",
"69*56=3864",
"3864/46=84"
] | Current State: 84:[5, 69, 56, 51], Operations: []
Exploring Operation: 51-5=46, Resulting Numbers: [69, 56, 46]
Generated Node #2: [69, 56, 46] from Operation: 51-5=46
Current State: 84:[69, 56, 46], Operations: ['51-5=46']
Exploring Operation: 69*56=3864, Resulting Numbers: [46, 3864]
Generated Node #3: [46, 3864] from Operation: 69*56=3864
Current State: 84:[46, 3864], Operations: ['51-5=46', '69*56=3864']
Exploring Operation: 3864/46=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
5,
98,
14,
33
] | 84 | [
"5+98=103",
"33-14=19",
"103-19=84"
] | Current State: 84:[5, 98, 14, 33], Operations: []
Exploring Operation: 5+98=103, Resulting Numbers: [14, 33, 103]
Generated Node #2: [14, 33, 103] from Operation: 5+98=103
Current State: 84:[14, 33, 103], Operations: ['5+98=103']
Exploring Operation: 33-14=19, Resulting Numbers: [103, 19]
Generated Node #3: [103, 19] from Operation: 33-14=19
Current State: 84:[103, 19], Operations: ['5+98=103', '33-14=19']
Exploring Operation: 103-19=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
22,
80,
36,
69
] | 91 | [
"80-22=58",
"69-36=33",
"58+33=91"
] | Current State: 91:[22, 80, 36, 69], Operations: []
Exploring Operation: 80-22=58, Resulting Numbers: [36, 69, 58]
Generated Node #2: [36, 69, 58] from Operation: 80-22=58
Current State: 91:[36, 69, 58], Operations: ['80-22=58']
Exploring Operation: 69-36=33, Resulting Numbers: [58, 33]
Generated Node #3: [58, 33] from Operation: 69-36=33
Current State: 91:[58, 33], Operations: ['80-22=58', '69-36=33']
Exploring Operation: 58+33=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
17,
10,
34,
94
] | 89 | [
"17*10=170",
"170/34=5",
"94-5=89"
] | Current State: 89:[17, 10, 34, 94], Operations: []
Exploring Operation: 17*10=170, Resulting Numbers: [34, 94, 170]
Generated Node #2: [34, 94, 170] from Operation: 17*10=170
Current State: 89:[34, 94, 170], Operations: ['17*10=170']
Exploring Operation: 170/34=5, Resulting Numbers: [94, 5]
Generated Node #3: [94, 5] from Operation: 170/34=5
Current State: 89:[94, 5], Operations: ['17*10=170', '170/34=5']
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
46,
34,
58,
64
] | 66 | [
"34+58=92",
"92/46=2",
"64+2=66"
] | Current State: 66:[46, 34, 58, 64], Operations: []
Exploring Operation: 34+58=92, Resulting Numbers: [46, 64, 92]
Generated Node #2: [46, 64, 92] from Operation: 34+58=92
Current State: 66:[46, 64, 92], Operations: ['34+58=92']
Exploring Operation: 92/46=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 92/46=2
Current State: 66:[64, 2], Operations: ['34+58=92', '92/46=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
24,
63,
16,
31
] | 54 | [
"63-24=39",
"31-16=15",
"39+15=54"
] | Current State: 54:[24, 63, 16, 31], Operations: []
Exploring Operation: 63-24=39, Resulting Numbers: [16, 31, 39]
Generated Node #2: [16, 31, 39] from Operation: 63-24=39
Current State: 54:[16, 31, 39], Operations: ['63-24=39']
Exploring Operation: 31-16=15, Resulting Numbers: [39, 15]
Generated Node #3: [39, 15] from Operation: 31-16=15
Current State: 54:[39, 15], Operations: ['63-24=39', '31-16=15']
Exploring Operation: 39+15=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
38,
25,
31,
29
] | 54 | [
"38-29=9",
"31-25=6",
"9*6=54"
] | Current State: 54:[38, 25, 31, 29], Operations: []
Exploring Operation: 38-29=9, Resulting Numbers: [25, 31, 9]
Generated Node #2: [25, 31, 9] from Operation: 38-29=9
Current State: 54:[25, 31, 9], Operations: ['38-29=9']
Exploring Operation: 31-25=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 31-25=6
Current State: 54:[9, 6], Operations: ['38-29=9', '31-25=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
33,
24,
22,
88
] | 15 | [
"33+22=55",
"24*55=1320",
"1320/88=15"
] | Current State: 15:[33, 24, 22, 88], Operations: []
Exploring Operation: 33+22=55, Resulting Numbers: [24, 88, 55]
Generated Node #2: [24, 88, 55] from Operation: 33+22=55
Current State: 15:[24, 88, 55], Operations: ['33+22=55']
Exploring Operation: 24*55=1320, Resulting Numbers: [88, 1320]
Generated Node #3: [88, 1320] from Operation: 24*55=1320
Current State: 15:[88, 1320], Operations: ['33+22=55', '24*55=1320']
Exploring Operation: 1320/88=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
64,
45,
86,
33
] | 72 | [
"64-45=19",
"86-33=53",
"19+53=72"
] | Current State: 72:[64, 45, 86, 33], Operations: []
Exploring Operation: 64-45=19, Resulting Numbers: [86, 33, 19]
Generated Node #2: [86, 33, 19] from Operation: 64-45=19
Current State: 72:[86, 33, 19], Operations: ['64-45=19']
Exploring Operation: 86-33=53, Resulting Numbers: [19, 53]
Generated Node #3: [19, 53] from Operation: 86-33=53
Current State: 72:[19, 53], Operations: ['64-45=19', '86-33=53']
Exploring Operation: 19+53=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
87,
6,
47,
66
] | 20 | [
"87+6=93",
"47+66=113",
"113-93=20"
] | Current State: 20:[87, 6, 47, 66], Operations: []
Exploring Operation: 87+6=93, Resulting Numbers: [47, 66, 93]
Generated Node #2: [47, 66, 93] from Operation: 87+6=93
Current State: 20:[47, 66, 93], Operations: ['87+6=93']
Exploring Operation: 47+66=113, Resulting Numbers: [93, 113]
Generated Node #3: [93, 113] from Operation: 47+66=113
Current State: 20:[93, 113], Operations: ['87+6=93', '47+66=113']
Exploring Operation: 113-93=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
45,
23,
79,
3
] | 98 | [
"45-23=22",
"79-3=76",
"22+76=98"
] | Current State: 98:[45, 23, 79, 3], Operations: []
Exploring Operation: 45-23=22, Resulting Numbers: [79, 3, 22]
Generated Node #2: [79, 3, 22] from Operation: 45-23=22
Current State: 98:[79, 3, 22], Operations: ['45-23=22']
Exploring Operation: 79-3=76, Resulting Numbers: [22, 76]
Generated Node #3: [22, 76] from Operation: 79-3=76
Current State: 98:[22, 76], Operations: ['45-23=22', '79-3=76']
Exploring Operation: 22+76=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
32,
70,
72,
51
] | 81 | [
"32+70=102",
"72-51=21",
"102-21=81"
] | Current State: 81:[32, 70, 72, 51], Operations: []
Exploring Operation: 32+70=102, Resulting Numbers: [72, 51, 102]
Generated Node #2: [72, 51, 102] from Operation: 32+70=102
Current State: 81:[72, 51, 102], Operations: ['32+70=102']
Exploring Operation: 72-51=21, Resulting Numbers: [102, 21]
Generated Node #3: [102, 21] from Operation: 72-51=21
Current State: 81:[102, 21], Operations: ['32+70=102', '72-51=21']
Exploring Operation: 102-21=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
19,
21,
10,
66
] | 78 | [
"21-19=2",
"10+66=76",
"2+76=78"
] | Current State: 78:[19, 21, 10, 66], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [10, 66, 2]
Generated Node #2: [10, 66, 2] from Operation: 21-19=2
Current State: 78:[10, 66, 2], Operations: ['21-19=2']
Exploring Operation: 10+66=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 10+66=76
Current State: 78:[2, 76], Operations: ['21-19=2', '10+66=76']
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
93,
84,
2,
80
] | 73 | [
"93-84=9",
"2+80=82",
"82-9=73"
] | Current State: 73:[93, 84, 2, 80], Operations: []
Exploring Operation: 93-84=9, Resulting Numbers: [2, 80, 9]
Generated Node #2: [2, 80, 9] from Operation: 93-84=9
Current State: 73:[2, 80, 9], Operations: ['93-84=9']
Exploring Operation: 2+80=82, Resulting Numbers: [9, 82]
Generated Node #3: [9, 82] from Operation: 2+80=82
Current State: 73:[9, 82], Operations: ['93-84=9', '2+80=82']
Exploring Operation: 82-9=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
80,
33,
34,
5
] | 75 | [
"80-5=75",
"34-33=1",
"75*1=75"
] | Current State: 75:[80, 33, 34, 5], Operations: []
Exploring Operation: 80-5=75, Resulting Numbers: [33, 34, 75]
Generated Node #2: [33, 34, 75] from Operation: 80-5=75
Current State: 75:[33, 34, 75], Operations: ['80-5=75']
Exploring Operation: 34-33=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 34-33=1
Current State: 75:[75, 1], Operations: ['80-5=75', '34-33=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
62,
39,
87,
11
] | 25 | [
"62+39=101",
"87-11=76",
"101-76=25"
] | Current State: 25:[62, 39, 87, 11], Operations: []
Exploring Operation: 62+39=101, Resulting Numbers: [87, 11, 101]
Generated Node #2: [87, 11, 101] from Operation: 62+39=101
Current State: 25:[87, 11, 101], Operations: ['62+39=101']
Exploring Operation: 87-11=76, Resulting Numbers: [101, 76]
Generated Node #3: [101, 76] from Operation: 87-11=76
Current State: 25:[101, 76], Operations: ['62+39=101', '87-11=76']
Exploring Operation: 101-76=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
18,
98,
84,
22
] | 56 | [
"22-18=4",
"98-84=14",
"4*14=56"
] | Current State: 56:[18, 98, 84, 22], Operations: []
Exploring Operation: 22-18=4, Resulting Numbers: [98, 84, 4]
Generated Node #2: [98, 84, 4] from Operation: 22-18=4
Current State: 56:[98, 84, 4], Operations: ['22-18=4']
Exploring Operation: 98-84=14, Resulting Numbers: [4, 14]
Generated Node #3: [4, 14] from Operation: 98-84=14
Current State: 56:[4, 14], Operations: ['22-18=4', '98-84=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
20,
52,
28,
14
] | 86 | [
"20+52=72",
"28-14=14",
"72+14=86"
] | Current State: 86:[20, 52, 28, 14], Operations: []
Exploring Operation: 20+52=72, Resulting Numbers: [28, 14, 72]
Generated Node #2: [28, 14, 72] from Operation: 20+52=72
Current State: 86:[28, 14, 72], Operations: ['20+52=72']
Exploring Operation: 28-14=14, Resulting Numbers: [72, 14]
Generated Node #3: [72, 14] from Operation: 28-14=14
Current State: 86:[72, 14], Operations: ['20+52=72', '28-14=14']
Exploring Operation: 72+14=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
53,
86,
70,
70
] | 33 | [
"86-53=33",
"70-70=0",
"33+0=33"
] | Current State: 33:[53, 86, 70, 70], Operations: []
Exploring Operation: 86-53=33, Resulting Numbers: [70, 70, 33]
Generated Node #2: [70, 70, 33] from Operation: 86-53=33
Current State: 33:[70, 70, 33], Operations: ['86-53=33']
Exploring Operation: 70-70=0, Resulting Numbers: [33, 0]
Generated Node #3: [33, 0] from Operation: 70-70=0
Current State: 33:[33, 0], Operations: ['86-53=33', '70-70=0']
Exploring Operation: 33+0=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
28,
10,
29,
17
] | 14 | [
"29-10=19",
"19-17=2",
"28/2=14"
] | Current State: 14:[28, 10, 29, 17], Operations: []
Exploring Operation: 29-10=19, Resulting Numbers: [28, 17, 19]
Generated Node #2: [28, 17, 19] from Operation: 29-10=19
Current State: 14:[28, 17, 19], Operations: ['29-10=19']
Exploring Operation: 19-17=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 19-17=2
Current State: 14:[28, 2], Operations: ['29-10=19', '19-17=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
4,
35,
81,
36
] | 14 | [
"35-4=31",
"81-36=45",
"45-31=14"
] | Current State: 14:[4, 35, 81, 36], Operations: []
Exploring Operation: 35-4=31, Resulting Numbers: [81, 36, 31]
Generated Node #2: [81, 36, 31] from Operation: 35-4=31
Current State: 14:[81, 36, 31], Operations: ['35-4=31']
Exploring Operation: 81-36=45, Resulting Numbers: [31, 45]
Generated Node #3: [31, 45] from Operation: 81-36=45
Current State: 14:[31, 45], Operations: ['35-4=31', '81-36=45']
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
12,
59,
9,
7
] | 80 | [
"12-9=3",
"7*3=21",
"59+21=80"
] | Current State: 80:[12, 59, 9, 7], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [59, 7, 3]
Generated Node #2: [59, 7, 3] from Operation: 12-9=3
Current State: 80:[59, 7, 3], Operations: ['12-9=3']
Exploring Operation: 7*3=21, Resulting Numbers: [59, 21]
Generated Node #3: [59, 21] from Operation: 7*3=21
Current State: 80:[59, 21], Operations: ['12-9=3', '7*3=21']
Exploring Operation: 59+21=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
12,
78,
45,
10
] | 54 | [
"12+78=90",
"90/10=9",
"45+9=54"
] | Current State: 54:[12, 78, 45, 10], Operations: []
Exploring Operation: 12+78=90, Resulting Numbers: [45, 10, 90]
Generated Node #2: [45, 10, 90] from Operation: 12+78=90
Current State: 54:[45, 10, 90], Operations: ['12+78=90']
Exploring Operation: 90/10=9, Resulting Numbers: [45, 9]
Generated Node #3: [45, 9] from Operation: 90/10=9
Current State: 54:[45, 9], Operations: ['12+78=90', '90/10=9']
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
72,
28,
77,
77
] | 100 | [
"72+28=100",
"77-77=0",
"100+0=100"
] | Current State: 100:[72, 28, 77, 77], Operations: []
Exploring Operation: 72+28=100, Resulting Numbers: [77, 77, 100]
Generated Node #2: [77, 77, 100] from Operation: 72+28=100
Current State: 100:[77, 77, 100], Operations: ['72+28=100']
Exploring Operation: 77-77=0, Resulting Numbers: [100, 0]
Generated Node #3: [100, 0] from Operation: 77-77=0
Current State: 100:[100, 0], Operations: ['72+28=100', '77-77=0']
Exploring Operation: 100+0=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
39,
33,
85,
44
] | 66 | [
"85-39=46",
"46-44=2",
"33*2=66"
] | Current State: 66:[39, 33, 85, 44], Operations: []
Exploring Operation: 85-39=46, Resulting Numbers: [33, 44, 46]
Generated Node #2: [33, 44, 46] from Operation: 85-39=46
Current State: 66:[33, 44, 46], Operations: ['85-39=46']
Exploring Operation: 46-44=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 46-44=2
Current State: 66:[33, 2], Operations: ['85-39=46', '46-44=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
7,
52,
69,
35
] | 45 | [
"7+52=59",
"69+35=104",
"104-59=45"
] | Current State: 45:[7, 52, 69, 35], Operations: []
Exploring Operation: 7+52=59, Resulting Numbers: [69, 35, 59]
Generated Node #2: [69, 35, 59] from Operation: 7+52=59
Current State: 45:[69, 35, 59], Operations: ['7+52=59']
Exploring Operation: 69+35=104, Resulting Numbers: [59, 104]
Generated Node #3: [59, 104] from Operation: 69+35=104
Current State: 45:[59, 104], Operations: ['7+52=59', '69+35=104']
Exploring Operation: 104-59=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
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