nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
56,
23,
43,
11
] | 23 | [
"43*11=473",
"56+473=529",
"529/23=23"
] | Current State: 23:[56, 23, 43, 11], Operations: []
Exploring Operation: 43*11=473, Resulting Numbers: [56, 23, 473]
Generated Node #2: [56, 23, 473] from Operation: 43*11=473
Current State: 23:[56, 23, 473], Operations: ['43*11=473']
Exploring Operation: 56+473=529, Resulting Numbers: [23, 529]
Generated Node #3: [23, 529] from Operation: 56+473=529
Current State: 23:[23, 529], Operations: ['43*11=473', '56+473=529']
Exploring Operation: 529/23=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
35,
46,
8,
78
] | 31 | [
"78-46=32",
"32/8=4",
"35-4=31"
] | Current State: 31:[35, 46, 8, 78], Operations: []
Exploring Operation: 78-46=32, Resulting Numbers: [35, 8, 32]
Generated Node #2: [35, 8, 32] from Operation: 78-46=32
Current State: 31:[35, 8, 32], Operations: ['78-46=32']
Exploring Operation: 32/8=4, Resulting Numbers: [35, 4]
Generated Node #3: [35, 4] from Operation: 32/8=4
Current State: 31:[35, 4], Operations: ['78-46=32', '32/8=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
10,
35,
5,
87
] | 83 | [
"35+5=40",
"40/10=4",
"87-4=83"
] | Current State: 83:[10, 35, 5, 87], Operations: []
Exploring Operation: 35+5=40, Resulting Numbers: [10, 87, 40]
Generated Node #2: [10, 87, 40] from Operation: 35+5=40
Current State: 83:[10, 87, 40], Operations: ['35+5=40']
Exploring Operation: 40/10=4, Resulting Numbers: [87, 4]
Generated Node #3: [87, 4] from Operation: 40/10=4
Current State: 83:[87, 4], Operations: ['35+5=40', '40/10=4']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
13,
39,
19,
34
] | 41 | [
"39-13=26",
"34-19=15",
"26+15=41"
] | Current State: 41:[13, 39, 19, 34], Operations: []
Exploring Operation: 39-13=26, Resulting Numbers: [19, 34, 26]
Generated Node #2: [19, 34, 26] from Operation: 39-13=26
Current State: 41:[19, 34, 26], Operations: ['39-13=26']
Exploring Operation: 34-19=15, Resulting Numbers: [26, 15]
Generated Node #3: [26, 15] from Operation: 34-19=15
Current State: 41:[26, 15], Operations: ['39-13=26', '34-19=15']
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
14,
83,
60,
65
] | 92 | [
"14+83=97",
"65-60=5",
"97-5=92"
] | Current State: 92:[14, 83, 60, 65], Operations: []
Exploring Operation: 14+83=97, Resulting Numbers: [60, 65, 97]
Generated Node #2: [60, 65, 97] from Operation: 14+83=97
Current State: 92:[60, 65, 97], Operations: ['14+83=97']
Exploring Operation: 65-60=5, Resulting Numbers: [97, 5]
Generated Node #3: [97, 5] from Operation: 65-60=5
Current State: 92:[97, 5], Operations: ['14+83=97', '65-60=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
49,
22,
7,
14
] | 51 | [
"22*14=308",
"49+308=357",
"357/7=51"
] | Current State: 51:[49, 22, 7, 14], Operations: []
Exploring Operation: 22*14=308, Resulting Numbers: [49, 7, 308]
Generated Node #2: [49, 7, 308] from Operation: 22*14=308
Current State: 51:[49, 7, 308], Operations: ['22*14=308']
Exploring Operation: 49+308=357, Resulting Numbers: [7, 357]
Generated Node #3: [7, 357] from Operation: 49+308=357
Current State: 51:[7, 357], Operations: ['22*14=308', '49+308=357']
Exploring Operation: 357/7=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
39,
46,
49,
42
] | 14 | [
"46-39=7",
"49-42=7",
"7+7=14"
] | Current State: 14:[39, 46, 49, 42], Operations: []
Exploring Operation: 46-39=7, Resulting Numbers: [49, 42, 7]
Generated Node #2: [49, 42, 7] from Operation: 46-39=7
Current State: 14:[49, 42, 7], Operations: ['46-39=7']
Exploring Operation: 49-42=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 49-42=7
Current State: 14:[7, 7], Operations: ['46-39=7', '49-42=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
2,
60,
57,
49
] | 43 | [
"60-57=3",
"2*3=6",
"49-6=43"
] | Current State: 43:[2, 60, 57, 49], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [2, 49, 3]
Generated Node #2: [2, 49, 3] from Operation: 60-57=3
Current State: 43:[2, 49, 3], Operations: ['60-57=3']
Exploring Operation: 2*3=6, Resulting Numbers: [49, 6]
Generated Node #3: [49, 6] from Operation: 2*3=6
Current State: 43:[49, 6], Operations: ['60-57=3', '2*3=6']
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
72,
30,
90,
48
] | 45 | [
"72*30=2160",
"2160/48=45",
"90-45=45"
] | Current State: 45:[72, 30, 90, 48], Operations: []
Exploring Operation: 72*30=2160, Resulting Numbers: [90, 48, 2160]
Generated Node #2: [90, 48, 2160] from Operation: 72*30=2160
Current State: 45:[90, 48, 2160], Operations: ['72*30=2160']
Exploring Operation: 2160/48=45, Resulting Numbers: [90, 45]
Generated Node #3: [90, 45] from Operation: 2160/48=45
Current State: 45:[90, 45], Operations: ['72*30=2160', '2160/48=45']
Exploring Operation: 90-45=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
51,
16,
74,
12
] | 51 | [
"51-16=35",
"74+12=86",
"86-35=51"
] | Current State: 51:[51, 16, 74, 12], Operations: []
Exploring Operation: 51-16=35, Resulting Numbers: [74, 12, 35]
Generated Node #2: [74, 12, 35] from Operation: 51-16=35
Current State: 51:[74, 12, 35], Operations: ['51-16=35']
Exploring Operation: 74+12=86, Resulting Numbers: [35, 86]
Generated Node #3: [35, 86] from Operation: 74+12=86
Current State: 51:[35, 86], Operations: ['51-16=35', '74+12=86']
Exploring Operation: 86-35=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
88,
11,
66,
4
] | 68 | [
"88/11=8",
"8/4=2",
"66+2=68"
] | Current State: 68:[88, 11, 66, 4], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [66, 4, 8]
Generated Node #2: [66, 4, 8] from Operation: 88/11=8
Current State: 68:[66, 4, 8], Operations: ['88/11=8']
Exploring Operation: 8/4=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 8/4=2
Current State: 68:[66, 2], Operations: ['88/11=8', '8/4=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
89,
19,
75
] | 10 | [
"89-19=70",
"75-70=5",
"2*5=10"
] | Current State: 10:[2, 89, 19, 75], Operations: []
Exploring Operation: 89-19=70, Resulting Numbers: [2, 75, 70]
Generated Node #2: [2, 75, 70] from Operation: 89-19=70
Current State: 10:[2, 75, 70], Operations: ['89-19=70']
Exploring Operation: 75-70=5, Resulting Numbers: [2, 5]
Generated Node #3: [2, 5] from Operation: 75-70=5
Current State: 10:[2, 5], Operations: ['89-19=70', '75-70=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
50,
58,
66,
8
] | 67 | [
"58-50=8",
"8/8=1",
"66+1=67"
] | Current State: 67:[50, 58, 66, 8], Operations: []
Exploring Operation: 58-50=8, Resulting Numbers: [66, 8, 8]
Generated Node #2: [66, 8, 8] from Operation: 58-50=8
Current State: 67:[66, 8, 8], Operations: ['58-50=8']
Exploring Operation: 8/8=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 8/8=1
Current State: 67:[66, 1], Operations: ['58-50=8', '8/8=1']
Exploring Operation: 66+1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
55,
2,
16,
28
] | 97 | [
"55-2=53",
"16+28=44",
"53+44=97"
] | Current State: 97:[55, 2, 16, 28], Operations: []
Exploring Operation: 55-2=53, Resulting Numbers: [16, 28, 53]
Generated Node #2: [16, 28, 53] from Operation: 55-2=53
Current State: 97:[16, 28, 53], Operations: ['55-2=53']
Exploring Operation: 16+28=44, Resulting Numbers: [53, 44]
Generated Node #3: [53, 44] from Operation: 16+28=44
Current State: 97:[53, 44], Operations: ['55-2=53', '16+28=44']
Exploring Operation: 53+44=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
56,
98,
84,
86
] | 35 | [
"86-56=30",
"98*30=2940",
"2940/84=35"
] | Current State: 35:[56, 98, 84, 86], Operations: []
Exploring Operation: 86-56=30, Resulting Numbers: [98, 84, 30]
Generated Node #2: [98, 84, 30] from Operation: 86-56=30
Current State: 35:[98, 84, 30], Operations: ['86-56=30']
Exploring Operation: 98*30=2940, Resulting Numbers: [84, 2940]
Generated Node #3: [84, 2940] from Operation: 98*30=2940
Current State: 35:[84, 2940], Operations: ['86-56=30', '98*30=2940']
Exploring Operation: 2940/84=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
16,
7,
16,
73
] | 55 | [
"16*7=112",
"73-16=57",
"112-57=55"
] | Current State: 55:[16, 7, 16, 73], Operations: []
Exploring Operation: 16*7=112, Resulting Numbers: [73, 112]
Generated Node #2: [73, 112] from Operation: 16*7=112
Current State: 55:[73, 112], Operations: ['16*7=112']
Exploring Operation: 73-16=57, Resulting Numbers: [112, 57]
Generated Node #3: [112, 57] from Operation: 73-16=57
Current State: 55:[112, 57], Operations: ['16*7=112', '73-16=57']
Exploring Operation: 112-57=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
29,
45,
51,
17
] | 14 | [
"45*17=765",
"765/51=15",
"29-15=14"
] | Current State: 14:[29, 45, 51, 17], Operations: []
Exploring Operation: 45*17=765, Resulting Numbers: [29, 51, 765]
Generated Node #2: [29, 51, 765] from Operation: 45*17=765
Current State: 14:[29, 51, 765], Operations: ['45*17=765']
Exploring Operation: 765/51=15, Resulting Numbers: [29, 15]
Generated Node #3: [29, 15] from Operation: 765/51=15
Current State: 14:[29, 15], Operations: ['45*17=765', '765/51=15']
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
48,
40,
69,
91
] | 14 | [
"48-40=8",
"91-69=22",
"22-8=14"
] | Current State: 14:[48, 40, 69, 91], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [69, 91, 8]
Generated Node #2: [69, 91, 8] from Operation: 48-40=8
Current State: 14:[69, 91, 8], Operations: ['48-40=8']
Exploring Operation: 91-69=22, Resulting Numbers: [8, 22]
Generated Node #3: [8, 22] from Operation: 91-69=22
Current State: 14:[8, 22], Operations: ['48-40=8', '91-69=22']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
68,
35,
22,
5
] | 31 | [
"22-5=17",
"68/17=4",
"35-4=31"
] | Current State: 31:[68, 35, 22, 5], Operations: []
Exploring Operation: 22-5=17, Resulting Numbers: [68, 35, 17]
Generated Node #2: [68, 35, 17] from Operation: 22-5=17
Current State: 31:[68, 35, 17], Operations: ['22-5=17']
Exploring Operation: 68/17=4, Resulting Numbers: [35, 4]
Generated Node #3: [35, 4] from Operation: 68/17=4
Current State: 31:[35, 4], Operations: ['22-5=17', '68/17=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
67,
32,
5,
91
] | 70 | [
"5+91=96",
"96/32=3",
"67+3=70"
] | Current State: 70:[67, 32, 5, 91], Operations: []
Exploring Operation: 5+91=96, Resulting Numbers: [67, 32, 96]
Generated Node #2: [67, 32, 96] from Operation: 5+91=96
Current State: 70:[67, 32, 96], Operations: ['5+91=96']
Exploring Operation: 96/32=3, Resulting Numbers: [67, 3]
Generated Node #3: [67, 3] from Operation: 96/32=3
Current State: 70:[67, 3], Operations: ['5+91=96', '96/32=3']
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
78,
38,
20,
63
] | 65 | [
"78-38=40",
"40/20=2",
"63+2=65"
] | Current State: 65:[78, 38, 20, 63], Operations: []
Exploring Operation: 78-38=40, Resulting Numbers: [20, 63, 40]
Generated Node #2: [20, 63, 40] from Operation: 78-38=40
Current State: 65:[20, 63, 40], Operations: ['78-38=40']
Exploring Operation: 40/20=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 40/20=2
Current State: 65:[63, 2], Operations: ['78-38=40', '40/20=2']
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
65,
32,
49,
61
] | 13 | [
"65+32=97",
"49+61=110",
"110-97=13"
] | Current State: 13:[65, 32, 49, 61], Operations: []
Exploring Operation: 65+32=97, Resulting Numbers: [49, 61, 97]
Generated Node #2: [49, 61, 97] from Operation: 65+32=97
Current State: 13:[49, 61, 97], Operations: ['65+32=97']
Exploring Operation: 49+61=110, Resulting Numbers: [97, 110]
Generated Node #3: [97, 110] from Operation: 49+61=110
Current State: 13:[97, 110], Operations: ['65+32=97', '49+61=110']
Exploring Operation: 110-97=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
15,
5,
45,
2
] | 51 | [
"15/5=3",
"2*3=6",
"45+6=51"
] | Current State: 51:[15, 5, 45, 2], Operations: []
Exploring Operation: 15/5=3, Resulting Numbers: [45, 2, 3]
Generated Node #2: [45, 2, 3] from Operation: 15/5=3
Current State: 51:[45, 2, 3], Operations: ['15/5=3']
Exploring Operation: 2*3=6, Resulting Numbers: [45, 6]
Generated Node #3: [45, 6] from Operation: 2*3=6
Current State: 51:[45, 6], Operations: ['15/5=3', '2*3=6']
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
84,
22,
14,
45
] | 61 | [
"84/14=6",
"22+45=67",
"67-6=61"
] | Current State: 61:[84, 22, 14, 45], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [22, 45, 6]
Generated Node #2: [22, 45, 6] from Operation: 84/14=6
Current State: 61:[22, 45, 6], Operations: ['84/14=6']
Exploring Operation: 22+45=67, Resulting Numbers: [6, 67]
Generated Node #3: [6, 67] from Operation: 22+45=67
Current State: 61:[6, 67], Operations: ['84/14=6', '22+45=67']
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
34,
37,
32,
36
] | 75 | [
"34+37=71",
"36-32=4",
"71+4=75"
] | Current State: 75:[34, 37, 32, 36], Operations: []
Exploring Operation: 34+37=71, Resulting Numbers: [32, 36, 71]
Generated Node #2: [32, 36, 71] from Operation: 34+37=71
Current State: 75:[32, 36, 71], Operations: ['34+37=71']
Exploring Operation: 36-32=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 36-32=4
Current State: 75:[71, 4], Operations: ['34+37=71', '36-32=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
71,
64,
26,
36
] | 55 | [
"71-64=7",
"26+36=62",
"62-7=55"
] | Current State: 55:[71, 64, 26, 36], Operations: []
Exploring Operation: 71-64=7, Resulting Numbers: [26, 36, 7]
Generated Node #2: [26, 36, 7] from Operation: 71-64=7
Current State: 55:[26, 36, 7], Operations: ['71-64=7']
Exploring Operation: 26+36=62, Resulting Numbers: [7, 62]
Generated Node #3: [7, 62] from Operation: 26+36=62
Current State: 55:[7, 62], Operations: ['71-64=7', '26+36=62']
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
37,
37,
51,
93
] | 32 | [
"37+37=74",
"93-51=42",
"74-42=32"
] | Current State: 32:[37, 37, 51, 93], Operations: []
Exploring Operation: 37+37=74, Resulting Numbers: [51, 93, 74]
Generated Node #2: [51, 93, 74] from Operation: 37+37=74
Current State: 32:[51, 93, 74], Operations: ['37+37=74']
Exploring Operation: 93-51=42, Resulting Numbers: [74, 42]
Generated Node #3: [74, 42] from Operation: 93-51=42
Current State: 32:[74, 42], Operations: ['37+37=74', '93-51=42']
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
99,
69,
72,
18
] | 93 | [
"72-69=3",
"18/3=6",
"99-6=93"
] | Current State: 93:[99, 69, 72, 18], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [99, 18, 3]
Generated Node #2: [99, 18, 3] from Operation: 72-69=3
Current State: 93:[99, 18, 3], Operations: ['72-69=3']
Exploring Operation: 18/3=6, Resulting Numbers: [99, 6]
Generated Node #3: [99, 6] from Operation: 18/3=6
Current State: 93:[99, 6], Operations: ['72-69=3', '18/3=6']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
33,
62,
34,
66
] | 98 | [
"66/33=2",
"62+34=96",
"2+96=98"
] | Current State: 98:[33, 62, 34, 66], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [62, 34, 2]
Generated Node #2: [62, 34, 2] from Operation: 66/33=2
Current State: 98:[62, 34, 2], Operations: ['66/33=2']
Exploring Operation: 62+34=96, Resulting Numbers: [2, 96]
Generated Node #3: [2, 96] from Operation: 62+34=96
Current State: 98:[2, 96], Operations: ['66/33=2', '62+34=96']
Exploring Operation: 2+96=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
60,
51,
90,
93
] | 87 | [
"60+93=153",
"153/51=3",
"90-3=87"
] | Current State: 87:[60, 51, 90, 93], Operations: []
Exploring Operation: 60+93=153, Resulting Numbers: [51, 90, 153]
Generated Node #2: [51, 90, 153] from Operation: 60+93=153
Current State: 87:[51, 90, 153], Operations: ['60+93=153']
Exploring Operation: 153/51=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 153/51=3
Current State: 87:[90, 3], Operations: ['60+93=153', '153/51=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
27,
22,
13,
29
] | 24 | [
"29-27=2",
"22/2=11",
"13+11=24"
] | Current State: 24:[27, 22, 13, 29], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [22, 13, 2]
Generated Node #2: [22, 13, 2] from Operation: 29-27=2
Current State: 24:[22, 13, 2], Operations: ['29-27=2']
Exploring Operation: 22/2=11, Resulting Numbers: [13, 11]
Generated Node #3: [13, 11] from Operation: 22/2=11
Current State: 24:[13, 11], Operations: ['29-27=2', '22/2=11']
Exploring Operation: 13+11=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
50,
11,
14,
43
] | 77 | [
"50-14=36",
"43-36=7",
"11*7=77"
] | Current State: 77:[50, 11, 14, 43], Operations: []
Exploring Operation: 50-14=36, Resulting Numbers: [11, 43, 36]
Generated Node #2: [11, 43, 36] from Operation: 50-14=36
Current State: 77:[11, 43, 36], Operations: ['50-14=36']
Exploring Operation: 43-36=7, Resulting Numbers: [11, 7]
Generated Node #3: [11, 7] from Operation: 43-36=7
Current State: 77:[11, 7], Operations: ['50-14=36', '43-36=7']
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
12,
60,
14,
21
] | 91 | [
"60/12=5",
"14*5=70",
"21+70=91"
] | Current State: 91:[12, 60, 14, 21], Operations: []
Exploring Operation: 60/12=5, Resulting Numbers: [14, 21, 5]
Generated Node #2: [14, 21, 5] from Operation: 60/12=5
Current State: 91:[14, 21, 5], Operations: ['60/12=5']
Exploring Operation: 14*5=70, Resulting Numbers: [21, 70]
Generated Node #3: [21, 70] from Operation: 14*5=70
Current State: 91:[21, 70], Operations: ['60/12=5', '14*5=70']
Exploring Operation: 21+70=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
27,
44,
34,
43
] | 26 | [
"44-27=17",
"43-34=9",
"17+9=26"
] | Current State: 26:[27, 44, 34, 43], Operations: []
Exploring Operation: 44-27=17, Resulting Numbers: [34, 43, 17]
Generated Node #2: [34, 43, 17] from Operation: 44-27=17
Current State: 26:[34, 43, 17], Operations: ['44-27=17']
Exploring Operation: 43-34=9, Resulting Numbers: [17, 9]
Generated Node #3: [17, 9] from Operation: 43-34=9
Current State: 26:[17, 9], Operations: ['44-27=17', '43-34=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
11,
9,
90,
95
] | 85 | [
"11-9=2",
"90*2=180",
"180-95=85"
] | Current State: 85:[11, 9, 90, 95], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [90, 95, 2]
Generated Node #2: [90, 95, 2] from Operation: 11-9=2
Current State: 85:[90, 95, 2], Operations: ['11-9=2']
Exploring Operation: 90*2=180, Resulting Numbers: [95, 180]
Generated Node #3: [95, 180] from Operation: 90*2=180
Current State: 85:[95, 180], Operations: ['11-9=2', '90*2=180']
Exploring Operation: 180-95=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
2,
14,
94,
6
] | 46 | [
"94-14=80",
"80/2=40",
"6+40=46"
] | Current State: 46:[2, 14, 94, 6], Operations: []
Exploring Operation: 94-14=80, Resulting Numbers: [2, 6, 80]
Generated Node #2: [2, 6, 80] from Operation: 94-14=80
Current State: 46:[2, 6, 80], Operations: ['94-14=80']
Exploring Operation: 80/2=40, Resulting Numbers: [6, 40]
Generated Node #3: [6, 40] from Operation: 80/2=40
Current State: 46:[6, 40], Operations: ['94-14=80', '80/2=40']
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
34,
29,
15,
22
] | 32 | [
"34-29=5",
"15+22=37",
"37-5=32"
] | Current State: 32:[34, 29, 15, 22], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [15, 22, 5]
Generated Node #2: [15, 22, 5] from Operation: 34-29=5
Current State: 32:[15, 22, 5], Operations: ['34-29=5']
Exploring Operation: 15+22=37, Resulting Numbers: [5, 37]
Generated Node #3: [5, 37] from Operation: 15+22=37
Current State: 32:[5, 37], Operations: ['34-29=5', '15+22=37']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
92,
88,
38,
2
] | 17 | [
"92-88=4",
"38-4=34",
"34/2=17"
] | Current State: 17:[92, 88, 38, 2], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [38, 2, 4]
Generated Node #2: [38, 2, 4] from Operation: 92-88=4
Current State: 17:[38, 2, 4], Operations: ['92-88=4']
Exploring Operation: 38-4=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 38-4=34
Current State: 17:[2, 34], Operations: ['92-88=4', '38-4=34']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
18,
99,
6,
12
] | 75 | [
"99-18=81",
"12-6=6",
"81-6=75"
] | Current State: 75:[18, 99, 6, 12], Operations: []
Exploring Operation: 99-18=81, Resulting Numbers: [6, 12, 81]
Generated Node #2: [6, 12, 81] from Operation: 99-18=81
Current State: 75:[6, 12, 81], Operations: ['99-18=81']
Exploring Operation: 12-6=6, Resulting Numbers: [81, 6]
Generated Node #3: [81, 6] from Operation: 12-6=6
Current State: 75:[81, 6], Operations: ['99-18=81', '12-6=6']
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
95,
2,
68,
67
] | 95 | [
"68-2=66",
"67-66=1",
"95*1=95"
] | Current State: 95:[95, 2, 68, 67], Operations: []
Exploring Operation: 68-2=66, Resulting Numbers: [95, 67, 66]
Generated Node #2: [95, 67, 66] from Operation: 68-2=66
Current State: 95:[95, 67, 66], Operations: ['68-2=66']
Exploring Operation: 67-66=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 67-66=1
Current State: 95:[95, 1], Operations: ['68-2=66', '67-66=1']
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
29,
92,
38,
3
] | 95 | [
"38-29=9",
"9/3=3",
"92+3=95"
] | Current State: 95:[29, 92, 38, 3], Operations: []
Exploring Operation: 38-29=9, Resulting Numbers: [92, 3, 9]
Generated Node #2: [92, 3, 9] from Operation: 38-29=9
Current State: 95:[92, 3, 9], Operations: ['38-29=9']
Exploring Operation: 9/3=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 9/3=3
Current State: 95:[92, 3], Operations: ['38-29=9', '9/3=3']
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
34,
90,
74,
28
] | 76 | [
"90-34=56",
"56/28=2",
"74+2=76"
] | Current State: 76:[34, 90, 74, 28], Operations: []
Exploring Operation: 90-34=56, Resulting Numbers: [74, 28, 56]
Generated Node #2: [74, 28, 56] from Operation: 90-34=56
Current State: 76:[74, 28, 56], Operations: ['90-34=56']
Exploring Operation: 56/28=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 56/28=2
Current State: 76:[74, 2], Operations: ['90-34=56', '56/28=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
51,
25,
16,
75
] | 17 | [
"51+25=76",
"75-16=59",
"76-59=17"
] | Current State: 17:[51, 25, 16, 75], Operations: []
Exploring Operation: 51+25=76, Resulting Numbers: [16, 75, 76]
Generated Node #2: [16, 75, 76] from Operation: 51+25=76
Current State: 17:[16, 75, 76], Operations: ['51+25=76']
Exploring Operation: 75-16=59, Resulting Numbers: [76, 59]
Generated Node #3: [76, 59] from Operation: 75-16=59
Current State: 17:[76, 59], Operations: ['51+25=76', '75-16=59']
Exploring Operation: 76-59=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
53,
9,
89,
55
] | 71 | [
"55-53=2",
"9*2=18",
"89-18=71"
] | Current State: 71:[53, 9, 89, 55], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [9, 89, 2]
Generated Node #2: [9, 89, 2] from Operation: 55-53=2
Current State: 71:[9, 89, 2], Operations: ['55-53=2']
Exploring Operation: 9*2=18, Resulting Numbers: [89, 18]
Generated Node #3: [89, 18] from Operation: 9*2=18
Current State: 71:[89, 18], Operations: ['55-53=2', '9*2=18']
Exploring Operation: 89-18=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
19,
65,
14,
26
] | 20 | [
"19+65=84",
"84/14=6",
"26-6=20"
] | Current State: 20:[19, 65, 14, 26], Operations: []
Exploring Operation: 19+65=84, Resulting Numbers: [14, 26, 84]
Generated Node #2: [14, 26, 84] from Operation: 19+65=84
Current State: 20:[14, 26, 84], Operations: ['19+65=84']
Exploring Operation: 84/14=6, Resulting Numbers: [26, 6]
Generated Node #3: [26, 6] from Operation: 84/14=6
Current State: 20:[26, 6], Operations: ['19+65=84', '84/14=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
50,
17,
49,
74
] | 58 | [
"50-17=33",
"74-49=25",
"33+25=58"
] | Current State: 58:[50, 17, 49, 74], Operations: []
Exploring Operation: 50-17=33, Resulting Numbers: [49, 74, 33]
Generated Node #2: [49, 74, 33] from Operation: 50-17=33
Current State: 58:[49, 74, 33], Operations: ['50-17=33']
Exploring Operation: 74-49=25, Resulting Numbers: [33, 25]
Generated Node #3: [33, 25] from Operation: 74-49=25
Current State: 58:[33, 25], Operations: ['50-17=33', '74-49=25']
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
70,
11,
9,
25
] | 34 | [
"70+11=81",
"81/9=9",
"25+9=34"
] | Current State: 34:[70, 11, 9, 25], Operations: []
Exploring Operation: 70+11=81, Resulting Numbers: [9, 25, 81]
Generated Node #2: [9, 25, 81] from Operation: 70+11=81
Current State: 34:[9, 25, 81], Operations: ['70+11=81']
Exploring Operation: 81/9=9, Resulting Numbers: [25, 9]
Generated Node #3: [25, 9] from Operation: 81/9=9
Current State: 34:[25, 9], Operations: ['70+11=81', '81/9=9']
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
4,
60,
86,
4
] | 71 | [
"4*86=344",
"344-60=284",
"284/4=71"
] | Current State: 71:[4, 60, 86, 4], Operations: []
Exploring Operation: 4*86=344, Resulting Numbers: [60, 344]
Generated Node #2: [60, 344] from Operation: 4*86=344
Current State: 71:[60, 344], Operations: ['4*86=344']
Exploring Operation: 344-60=284, Resulting Numbers: [284]
284,71 equal: Goal Reached
Exploring Operation: 284/4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
61,
72,
3,
24
] | 16 | [
"72-61=11",
"3+24=27",
"27-11=16"
] | Current State: 16:[61, 72, 3, 24], Operations: []
Exploring Operation: 72-61=11, Resulting Numbers: [3, 24, 11]
Generated Node #2: [3, 24, 11] from Operation: 72-61=11
Current State: 16:[3, 24, 11], Operations: ['72-61=11']
Exploring Operation: 3+24=27, Resulting Numbers: [11, 27]
Generated Node #3: [11, 27] from Operation: 3+24=27
Current State: 16:[11, 27], Operations: ['72-61=11', '3+24=27']
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
76,
76,
78,
22
] | 96 | [
"76+76=152",
"78-22=56",
"152-56=96"
] | Current State: 96:[76, 76, 78, 22], Operations: []
Exploring Operation: 76+76=152, Resulting Numbers: [78, 22, 152]
Generated Node #2: [78, 22, 152] from Operation: 76+76=152
Current State: 96:[78, 22, 152], Operations: ['76+76=152']
Exploring Operation: 78-22=56, Resulting Numbers: [152, 56]
Generated Node #3: [152, 56] from Operation: 78-22=56
Current State: 96:[152, 56], Operations: ['76+76=152', '78-22=56']
Exploring Operation: 152-56=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
47,
97,
75,
7
] | 93 | [
"75-47=28",
"28/7=4",
"97-4=93"
] | Current State: 93:[47, 97, 75, 7], Operations: []
Exploring Operation: 75-47=28, Resulting Numbers: [97, 7, 28]
Generated Node #2: [97, 7, 28] from Operation: 75-47=28
Current State: 93:[97, 7, 28], Operations: ['75-47=28']
Exploring Operation: 28/7=4, Resulting Numbers: [97, 4]
Generated Node #3: [97, 4] from Operation: 28/7=4
Current State: 93:[97, 4], Operations: ['75-47=28', '28/7=4']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
39,
55,
46,
23
] | 53 | [
"55-39=16",
"46+23=69",
"69-16=53"
] | Current State: 53:[39, 55, 46, 23], Operations: []
Exploring Operation: 55-39=16, Resulting Numbers: [46, 23, 16]
Generated Node #2: [46, 23, 16] from Operation: 55-39=16
Current State: 53:[46, 23, 16], Operations: ['55-39=16']
Exploring Operation: 46+23=69, Resulting Numbers: [16, 69]
Generated Node #3: [16, 69] from Operation: 46+23=69
Current State: 53:[16, 69], Operations: ['55-39=16', '46+23=69']
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
32,
30,
34,
57
] | 72 | [
"34-32=2",
"30/2=15",
"57+15=72"
] | Current State: 72:[32, 30, 34, 57], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [30, 57, 2]
Generated Node #2: [30, 57, 2] from Operation: 34-32=2
Current State: 72:[30, 57, 2], Operations: ['34-32=2']
Exploring Operation: 30/2=15, Resulting Numbers: [57, 15]
Generated Node #3: [57, 15] from Operation: 30/2=15
Current State: 72:[57, 15], Operations: ['34-32=2', '30/2=15']
Exploring Operation: 57+15=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
92,
77,
4,
65
] | 91 | [
"92+77=169",
"4*65=260",
"260-169=91"
] | Current State: 91:[92, 77, 4, 65], Operations: []
Exploring Operation: 92+77=169, Resulting Numbers: [4, 65, 169]
Generated Node #2: [4, 65, 169] from Operation: 92+77=169
Current State: 91:[4, 65, 169], Operations: ['92+77=169']
Exploring Operation: 4*65=260, Resulting Numbers: [169, 260]
Generated Node #3: [169, 260] from Operation: 4*65=260
Current State: 91:[169, 260], Operations: ['92+77=169', '4*65=260']
Exploring Operation: 260-169=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
61,
39,
87,
38
] | 26 | [
"87-61=26",
"39-38=1",
"26*1=26"
] | Current State: 26:[61, 39, 87, 38], Operations: []
Exploring Operation: 87-61=26, Resulting Numbers: [39, 38, 26]
Generated Node #2: [39, 38, 26] from Operation: 87-61=26
Current State: 26:[39, 38, 26], Operations: ['87-61=26']
Exploring Operation: 39-38=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 39-38=1
Current State: 26:[26, 1], Operations: ['87-61=26', '39-38=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
97,
80,
30,
27
] | 40 | [
"97-80=17",
"30+27=57",
"57-17=40"
] | Current State: 40:[97, 80, 30, 27], Operations: []
Exploring Operation: 97-80=17, Resulting Numbers: [30, 27, 17]
Generated Node #2: [30, 27, 17] from Operation: 97-80=17
Current State: 40:[30, 27, 17], Operations: ['97-80=17']
Exploring Operation: 30+27=57, Resulting Numbers: [17, 57]
Generated Node #3: [17, 57] from Operation: 30+27=57
Current State: 40:[17, 57], Operations: ['97-80=17', '30+27=57']
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
68,
93,
82,
3
] | 85 | [
"68+93=161",
"82*3=246",
"246-161=85"
] | Current State: 85:[68, 93, 82, 3], Operations: []
Exploring Operation: 68+93=161, Resulting Numbers: [82, 3, 161]
Generated Node #2: [82, 3, 161] from Operation: 68+93=161
Current State: 85:[82, 3, 161], Operations: ['68+93=161']
Exploring Operation: 82*3=246, Resulting Numbers: [161, 246]
Generated Node #3: [161, 246] from Operation: 82*3=246
Current State: 85:[161, 246], Operations: ['68+93=161', '82*3=246']
Exploring Operation: 246-161=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
87,
87,
77,
6
] | 91 | [
"87+87=174",
"77+6=83",
"174-83=91"
] | Current State: 91:[87, 87, 77, 6], Operations: []
Exploring Operation: 87+87=174, Resulting Numbers: [77, 6, 174]
Generated Node #2: [77, 6, 174] from Operation: 87+87=174
Current State: 91:[77, 6, 174], Operations: ['87+87=174']
Exploring Operation: 77+6=83, Resulting Numbers: [174, 83]
Generated Node #3: [174, 83] from Operation: 77+6=83
Current State: 91:[174, 83], Operations: ['87+87=174', '77+6=83']
Exploring Operation: 174-83=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
8,
11,
54,
33
] | 24 | [
"11-8=3",
"54-33=21",
"3+21=24"
] | Current State: 24:[8, 11, 54, 33], Operations: []
Exploring Operation: 11-8=3, Resulting Numbers: [54, 33, 3]
Generated Node #2: [54, 33, 3] from Operation: 11-8=3
Current State: 24:[54, 33, 3], Operations: ['11-8=3']
Exploring Operation: 54-33=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 54-33=21
Current State: 24:[3, 21], Operations: ['11-8=3', '54-33=21']
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
1,
39,
92,
81
] | 27 | [
"39-1=38",
"92-81=11",
"38-11=27"
] | Current State: 27:[1, 39, 92, 81], Operations: []
Exploring Operation: 39-1=38, Resulting Numbers: [92, 81, 38]
Generated Node #2: [92, 81, 38] from Operation: 39-1=38
Current State: 27:[92, 81, 38], Operations: ['39-1=38']
Exploring Operation: 92-81=11, Resulting Numbers: [38, 11]
Generated Node #3: [38, 11] from Operation: 92-81=11
Current State: 27:[38, 11], Operations: ['39-1=38', '92-81=11']
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
3,
39,
65,
34
] | 54 | [
"65-34=31",
"3*31=93",
"93-39=54"
] | Current State: 54:[3, 39, 65, 34], Operations: []
Exploring Operation: 65-34=31, Resulting Numbers: [3, 39, 31]
Generated Node #2: [3, 39, 31] from Operation: 65-34=31
Current State: 54:[3, 39, 31], Operations: ['65-34=31']
Exploring Operation: 3*31=93, Resulting Numbers: [39, 93]
Generated Node #3: [39, 93] from Operation: 3*31=93
Current State: 54:[39, 93], Operations: ['65-34=31', '3*31=93']
Exploring Operation: 93-39=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
79,
53,
16,
2
] | 44 | [
"79-53=26",
"16+2=18",
"26+18=44"
] | Current State: 44:[79, 53, 16, 2], Operations: []
Exploring Operation: 79-53=26, Resulting Numbers: [16, 2, 26]
Generated Node #2: [16, 2, 26] from Operation: 79-53=26
Current State: 44:[16, 2, 26], Operations: ['79-53=26']
Exploring Operation: 16+2=18, Resulting Numbers: [26, 18]
Generated Node #3: [26, 18] from Operation: 16+2=18
Current State: 44:[26, 18], Operations: ['79-53=26', '16+2=18']
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
12,
93,
89,
86
] | 38 | [
"93-89=4",
"12*4=48",
"86-48=38"
] | Current State: 38:[12, 93, 89, 86], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [12, 86, 4]
Generated Node #2: [12, 86, 4] from Operation: 93-89=4
Current State: 38:[12, 86, 4], Operations: ['93-89=4']
Exploring Operation: 12*4=48, Resulting Numbers: [86, 48]
Generated Node #3: [86, 48] from Operation: 12*4=48
Current State: 38:[86, 48], Operations: ['93-89=4', '12*4=48']
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
66,
64,
32,
85
] | 69 | [
"66-64=2",
"32/2=16",
"85-16=69"
] | Current State: 69:[66, 64, 32, 85], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [32, 85, 2]
Generated Node #2: [32, 85, 2] from Operation: 66-64=2
Current State: 69:[32, 85, 2], Operations: ['66-64=2']
Exploring Operation: 32/2=16, Resulting Numbers: [85, 16]
Generated Node #3: [85, 16] from Operation: 32/2=16
Current State: 69:[85, 16], Operations: ['66-64=2', '32/2=16']
Exploring Operation: 85-16=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
92,
18,
16,
19
] | 86 | [
"19-16=3",
"18/3=6",
"92-6=86"
] | Current State: 86:[92, 18, 16, 19], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [92, 18, 3]
Generated Node #2: [92, 18, 3] from Operation: 19-16=3
Current State: 86:[92, 18, 3], Operations: ['19-16=3']
Exploring Operation: 18/3=6, Resulting Numbers: [92, 6]
Generated Node #3: [92, 6] from Operation: 18/3=6
Current State: 86:[92, 6], Operations: ['19-16=3', '18/3=6']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
70,
67,
87,
73
] | 60 | [
"73-70=3",
"87-67=20",
"3*20=60"
] | Current State: 60:[70, 67, 87, 73], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [67, 87, 3]
Generated Node #2: [67, 87, 3] from Operation: 73-70=3
Current State: 60:[67, 87, 3], Operations: ['73-70=3']
Exploring Operation: 87-67=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 87-67=20
Current State: 60:[3, 20], Operations: ['73-70=3', '87-67=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
76,
56,
88,
40
] | 60 | [
"76+56=132",
"40*132=5280",
"5280/88=60"
] | Current State: 60:[76, 56, 88, 40], Operations: []
Exploring Operation: 76+56=132, Resulting Numbers: [88, 40, 132]
Generated Node #2: [88, 40, 132] from Operation: 76+56=132
Current State: 60:[88, 40, 132], Operations: ['76+56=132']
Exploring Operation: 40*132=5280, Resulting Numbers: [88, 5280]
Generated Node #3: [88, 5280] from Operation: 40*132=5280
Current State: 60:[88, 5280], Operations: ['76+56=132', '40*132=5280']
Exploring Operation: 5280/88=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
50,
10,
8,
98
] | 14 | [
"50-8=42",
"98+42=140",
"140/10=14"
] | Current State: 14:[50, 10, 8, 98], Operations: []
Exploring Operation: 50-8=42, Resulting Numbers: [10, 98, 42]
Generated Node #2: [10, 98, 42] from Operation: 50-8=42
Current State: 14:[10, 98, 42], Operations: ['50-8=42']
Exploring Operation: 98+42=140, Resulting Numbers: [10, 140]
Generated Node #3: [10, 140] from Operation: 98+42=140
Current State: 14:[10, 140], Operations: ['50-8=42', '98+42=140']
Exploring Operation: 140/10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
80,
12,
9,
55
] | 45 | [
"80+55=135",
"12-9=3",
"135/3=45"
] | Current State: 45:[80, 12, 9, 55], Operations: []
Exploring Operation: 80+55=135, Resulting Numbers: [12, 9, 135]
Generated Node #2: [12, 9, 135] from Operation: 80+55=135
Current State: 45:[12, 9, 135], Operations: ['80+55=135']
Exploring Operation: 12-9=3, Resulting Numbers: [135, 3]
Generated Node #3: [135, 3] from Operation: 12-9=3
Current State: 45:[135, 3], Operations: ['80+55=135', '12-9=3']
Exploring Operation: 135/3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
39,
90,
50,
81
] | 99 | [
"50-39=11",
"90-81=9",
"11*9=99"
] | Current State: 99:[39, 90, 50, 81], Operations: []
Exploring Operation: 50-39=11, Resulting Numbers: [90, 81, 11]
Generated Node #2: [90, 81, 11] from Operation: 50-39=11
Current State: 99:[90, 81, 11], Operations: ['50-39=11']
Exploring Operation: 90-81=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 90-81=9
Current State: 99:[11, 9], Operations: ['50-39=11', '90-81=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
13,
45,
80,
6
] | 16 | [
"13+45=58",
"80-6=74",
"74-58=16"
] | Current State: 16:[13, 45, 80, 6], Operations: []
Exploring Operation: 13+45=58, Resulting Numbers: [80, 6, 58]
Generated Node #2: [80, 6, 58] from Operation: 13+45=58
Current State: 16:[80, 6, 58], Operations: ['13+45=58']
Exploring Operation: 80-6=74, Resulting Numbers: [58, 74]
Generated Node #3: [58, 74] from Operation: 80-6=74
Current State: 16:[58, 74], Operations: ['13+45=58', '80-6=74']
Exploring Operation: 74-58=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
24,
89,
43,
2
] | 72 | [
"24+89=113",
"43-2=41",
"113-41=72"
] | Current State: 72:[24, 89, 43, 2], Operations: []
Exploring Operation: 24+89=113, Resulting Numbers: [43, 2, 113]
Generated Node #2: [43, 2, 113] from Operation: 24+89=113
Current State: 72:[43, 2, 113], Operations: ['24+89=113']
Exploring Operation: 43-2=41, Resulting Numbers: [113, 41]
Generated Node #3: [113, 41] from Operation: 43-2=41
Current State: 72:[113, 41], Operations: ['24+89=113', '43-2=41']
Exploring Operation: 113-41=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
67,
90,
22,
96
] | 65 | [
"96-90=6",
"22*6=132",
"132-67=65"
] | Current State: 65:[67, 90, 22, 96], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [67, 22, 6]
Generated Node #2: [67, 22, 6] from Operation: 96-90=6
Current State: 65:[67, 22, 6], Operations: ['96-90=6']
Exploring Operation: 22*6=132, Resulting Numbers: [67, 132]
Generated Node #3: [67, 132] from Operation: 22*6=132
Current State: 65:[67, 132], Operations: ['96-90=6', '22*6=132']
Exploring Operation: 132-67=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
85,
8,
5,
88
] | 97 | [
"85/5=17",
"88-8=80",
"17+80=97"
] | Current State: 97:[85, 8, 5, 88], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [8, 88, 17]
Generated Node #2: [8, 88, 17] from Operation: 85/5=17
Current State: 97:[8, 88, 17], Operations: ['85/5=17']
Exploring Operation: 88-8=80, Resulting Numbers: [17, 80]
Generated Node #3: [17, 80] from Operation: 88-8=80
Current State: 97:[17, 80], Operations: ['85/5=17', '88-8=80']
Exploring Operation: 17+80=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
94,
63,
57,
7
] | 94 | [
"63-57=6",
"7-6=1",
"94*1=94"
] | Current State: 94:[94, 63, 57, 7], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [94, 7, 6]
Generated Node #2: [94, 7, 6] from Operation: 63-57=6
Current State: 94:[94, 7, 6], Operations: ['63-57=6']
Exploring Operation: 7-6=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 7-6=1
Current State: 94:[94, 1], Operations: ['63-57=6', '7-6=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
82,
28,
14,
38
] | 79 | [
"82*14=1148",
"1148/28=41",
"38+41=79"
] | Current State: 79:[82, 28, 14, 38], Operations: []
Exploring Operation: 82*14=1148, Resulting Numbers: [28, 38, 1148]
Generated Node #2: [28, 38, 1148] from Operation: 82*14=1148
Current State: 79:[28, 38, 1148], Operations: ['82*14=1148']
Exploring Operation: 1148/28=41, Resulting Numbers: [38, 41]
Generated Node #3: [38, 41] from Operation: 1148/28=41
Current State: 79:[38, 41], Operations: ['82*14=1148', '1148/28=41']
Exploring Operation: 38+41=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
93,
38,
42,
26
] | 71 | [
"93-38=55",
"42-26=16",
"55+16=71"
] | Current State: 71:[93, 38, 42, 26], Operations: []
Exploring Operation: 93-38=55, Resulting Numbers: [42, 26, 55]
Generated Node #2: [42, 26, 55] from Operation: 93-38=55
Current State: 71:[42, 26, 55], Operations: ['93-38=55']
Exploring Operation: 42-26=16, Resulting Numbers: [55, 16]
Generated Node #3: [55, 16] from Operation: 42-26=16
Current State: 71:[55, 16], Operations: ['93-38=55', '42-26=16']
Exploring Operation: 55+16=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
21,
20,
23,
68
] | 28 | [
"23-21=2",
"20*2=40",
"68-40=28"
] | Current State: 28:[21, 20, 23, 68], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [20, 68, 2]
Generated Node #2: [20, 68, 2] from Operation: 23-21=2
Current State: 28:[20, 68, 2], Operations: ['23-21=2']
Exploring Operation: 20*2=40, Resulting Numbers: [68, 40]
Generated Node #3: [68, 40] from Operation: 20*2=40
Current State: 28:[68, 40], Operations: ['23-21=2', '20*2=40']
Exploring Operation: 68-40=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
31,
41,
34,
15
] | 95 | [
"41*34=1394",
"31+1394=1425",
"1425/15=95"
] | Current State: 95:[31, 41, 34, 15], Operations: []
Exploring Operation: 41*34=1394, Resulting Numbers: [31, 15, 1394]
Generated Node #2: [31, 15, 1394] from Operation: 41*34=1394
Current State: 95:[31, 15, 1394], Operations: ['41*34=1394']
Exploring Operation: 31+1394=1425, Resulting Numbers: [15, 1425]
Generated Node #3: [15, 1425] from Operation: 31+1394=1425
Current State: 95:[15, 1425], Operations: ['41*34=1394', '31+1394=1425']
Exploring Operation: 1425/15=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
20,
61,
65,
46
] | 51 | [
"65-61=4",
"20/4=5",
"46+5=51"
] | Current State: 51:[20, 61, 65, 46], Operations: []
Exploring Operation: 65-61=4, Resulting Numbers: [20, 46, 4]
Generated Node #2: [20, 46, 4] from Operation: 65-61=4
Current State: 51:[20, 46, 4], Operations: ['65-61=4']
Exploring Operation: 20/4=5, Resulting Numbers: [46, 5]
Generated Node #3: [46, 5] from Operation: 20/4=5
Current State: 51:[46, 5], Operations: ['65-61=4', '20/4=5']
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
21,
12,
21,
52
] | 82 | [
"21-12=9",
"21+52=73",
"9+73=82"
] | Current State: 82:[21, 12, 21, 52], Operations: []
Exploring Operation: 21-12=9, Resulting Numbers: [52, 9]
Generated Node #2: [52, 9] from Operation: 21-12=9
Current State: 82:[52, 9], Operations: ['21-12=9']
Exploring Operation: 21+52=73, Resulting Numbers: [9, 73]
Generated Node #3: [9, 73] from Operation: 21+52=73
Current State: 82:[9, 73], Operations: ['21-12=9', '21+52=73']
Exploring Operation: 9+73=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
89,
99,
29,
99
] | 80 | [
"99-89=10",
"99-29=70",
"10+70=80"
] | Current State: 80:[89, 99, 29, 99], Operations: []
Exploring Operation: 99-89=10, Resulting Numbers: [29, 10]
Generated Node #2: [29, 10] from Operation: 99-89=10
Current State: 80:[29, 10], Operations: ['99-89=10']
Exploring Operation: 99-29=70, Resulting Numbers: [10, 70]
Generated Node #3: [10, 70] from Operation: 99-29=70
Current State: 80:[10, 70], Operations: ['99-89=10', '99-29=70']
Exploring Operation: 10+70=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
41,
61,
6,
42
] | 56 | [
"61-41=20",
"42-6=36",
"20+36=56"
] | Current State: 56:[41, 61, 6, 42], Operations: []
Exploring Operation: 61-41=20, Resulting Numbers: [6, 42, 20]
Generated Node #2: [6, 42, 20] from Operation: 61-41=20
Current State: 56:[6, 42, 20], Operations: ['61-41=20']
Exploring Operation: 42-6=36, Resulting Numbers: [20, 36]
Generated Node #3: [20, 36] from Operation: 42-6=36
Current State: 56:[20, 36], Operations: ['61-41=20', '42-6=36']
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
53,
90,
14,
81
] | 45 | [
"81-53=28",
"90*14=1260",
"1260/28=45"
] | Current State: 45:[53, 90, 14, 81], Operations: []
Exploring Operation: 81-53=28, Resulting Numbers: [90, 14, 28]
Generated Node #2: [90, 14, 28] from Operation: 81-53=28
Current State: 45:[90, 14, 28], Operations: ['81-53=28']
Exploring Operation: 90*14=1260, Resulting Numbers: [28, 1260]
Generated Node #3: [28, 1260] from Operation: 90*14=1260
Current State: 45:[28, 1260], Operations: ['81-53=28', '90*14=1260']
Exploring Operation: 1260/28=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
43,
40,
88,
16
] | 51 | [
"40+88=128",
"128/16=8",
"43+8=51"
] | Current State: 51:[43, 40, 88, 16], Operations: []
Exploring Operation: 40+88=128, Resulting Numbers: [43, 16, 128]
Generated Node #2: [43, 16, 128] from Operation: 40+88=128
Current State: 51:[43, 16, 128], Operations: ['40+88=128']
Exploring Operation: 128/16=8, Resulting Numbers: [43, 8]
Generated Node #3: [43, 8] from Operation: 128/16=8
Current State: 51:[43, 8], Operations: ['40+88=128', '128/16=8']
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
92,
44,
61,
51
] | 64 | [
"92-44=48",
"61+51=112",
"112-48=64"
] | Current State: 64:[92, 44, 61, 51], Operations: []
Exploring Operation: 92-44=48, Resulting Numbers: [61, 51, 48]
Generated Node #2: [61, 51, 48] from Operation: 92-44=48
Current State: 64:[61, 51, 48], Operations: ['92-44=48']
Exploring Operation: 61+51=112, Resulting Numbers: [48, 112]
Generated Node #3: [48, 112] from Operation: 61+51=112
Current State: 64:[48, 112], Operations: ['92-44=48', '61+51=112']
Exploring Operation: 112-48=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
48,
31,
28,
1
] | 17 | [
"31-28=3",
"48/3=16",
"1+16=17"
] | Current State: 17:[48, 31, 28, 1], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [48, 1, 3]
Generated Node #2: [48, 1, 3] from Operation: 31-28=3
Current State: 17:[48, 1, 3], Operations: ['31-28=3']
Exploring Operation: 48/3=16, Resulting Numbers: [1, 16]
Generated Node #3: [1, 16] from Operation: 48/3=16
Current State: 17:[1, 16], Operations: ['31-28=3', '48/3=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
67,
23,
7,
2
] | 75 | [
"23-7=16",
"16/2=8",
"67+8=75"
] | Current State: 75:[67, 23, 7, 2], Operations: []
Exploring Operation: 23-7=16, Resulting Numbers: [67, 2, 16]
Generated Node #2: [67, 2, 16] from Operation: 23-7=16
Current State: 75:[67, 2, 16], Operations: ['23-7=16']
Exploring Operation: 16/2=8, Resulting Numbers: [67, 8]
Generated Node #3: [67, 8] from Operation: 16/2=8
Current State: 75:[67, 8], Operations: ['23-7=16', '16/2=8']
Exploring Operation: 67+8=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
92,
98,
74,
49
] | 67 | [
"92+98=190",
"74+49=123",
"190-123=67"
] | Current State: 67:[92, 98, 74, 49], Operations: []
Exploring Operation: 92+98=190, Resulting Numbers: [74, 49, 190]
Generated Node #2: [74, 49, 190] from Operation: 92+98=190
Current State: 67:[74, 49, 190], Operations: ['92+98=190']
Exploring Operation: 74+49=123, Resulting Numbers: [190, 123]
Generated Node #3: [190, 123] from Operation: 74+49=123
Current State: 67:[190, 123], Operations: ['92+98=190', '74+49=123']
Exploring Operation: 190-123=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
10,
65,
30,
26
] | 71 | [
"10+65=75",
"30-26=4",
"75-4=71"
] | Current State: 71:[10, 65, 30, 26], Operations: []
Exploring Operation: 10+65=75, Resulting Numbers: [30, 26, 75]
Generated Node #2: [30, 26, 75] from Operation: 10+65=75
Current State: 71:[30, 26, 75], Operations: ['10+65=75']
Exploring Operation: 30-26=4, Resulting Numbers: [75, 4]
Generated Node #3: [75, 4] from Operation: 30-26=4
Current State: 71:[75, 4], Operations: ['10+65=75', '30-26=4']
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
12,
45,
60,
48
] | 30 | [
"12+60=72",
"45*48=2160",
"2160/72=30"
] | Current State: 30:[12, 45, 60, 48], Operations: []
Exploring Operation: 12+60=72, Resulting Numbers: [45, 48, 72]
Generated Node #2: [45, 48, 72] from Operation: 12+60=72
Current State: 30:[45, 48, 72], Operations: ['12+60=72']
Exploring Operation: 45*48=2160, Resulting Numbers: [72, 2160]
Generated Node #3: [72, 2160] from Operation: 45*48=2160
Current State: 30:[72, 2160], Operations: ['12+60=72', '45*48=2160']
Exploring Operation: 2160/72=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
15,
77,
23,
2
] | 67 | [
"15+77=92",
"23+2=25",
"92-25=67"
] | Current State: 67:[15, 77, 23, 2], Operations: []
Exploring Operation: 15+77=92, Resulting Numbers: [23, 2, 92]
Generated Node #2: [23, 2, 92] from Operation: 15+77=92
Current State: 67:[23, 2, 92], Operations: ['15+77=92']
Exploring Operation: 23+2=25, Resulting Numbers: [92, 25]
Generated Node #3: [92, 25] from Operation: 23+2=25
Current State: 67:[92, 25], Operations: ['15+77=92', '23+2=25']
Exploring Operation: 92-25=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
70,
3,
85,
14
] | 30 | [
"70/14=5",
"85+5=90",
"90/3=30"
] | Current State: 30:[70, 3, 85, 14], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [3, 85, 5]
Generated Node #2: [3, 85, 5] from Operation: 70/14=5
Current State: 30:[3, 85, 5], Operations: ['70/14=5']
Exploring Operation: 85+5=90, Resulting Numbers: [3, 90]
Generated Node #3: [3, 90] from Operation: 85+5=90
Current State: 30:[3, 90], Operations: ['70/14=5', '85+5=90']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
12,
43,
10,
50
] | 36 | [
"43-12=31",
"50/10=5",
"31+5=36"
] | Current State: 36:[12, 43, 10, 50], Operations: []
Exploring Operation: 43-12=31, Resulting Numbers: [10, 50, 31]
Generated Node #2: [10, 50, 31] from Operation: 43-12=31
Current State: 36:[10, 50, 31], Operations: ['43-12=31']
Exploring Operation: 50/10=5, Resulting Numbers: [31, 5]
Generated Node #3: [31, 5] from Operation: 50/10=5
Current State: 36:[31, 5], Operations: ['43-12=31', '50/10=5']
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
94,
46,
30,
66
] | 10 | [
"94+66=160",
"46-30=16",
"160/16=10"
] | Current State: 10:[94, 46, 30, 66], Operations: []
Exploring Operation: 94+66=160, Resulting Numbers: [46, 30, 160]
Generated Node #2: [46, 30, 160] from Operation: 94+66=160
Current State: 10:[46, 30, 160], Operations: ['94+66=160']
Exploring Operation: 46-30=16, Resulting Numbers: [160, 16]
Generated Node #3: [160, 16] from Operation: 46-30=16
Current State: 10:[160, 16], Operations: ['94+66=160', '46-30=16']
Exploring Operation: 160/16=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
14,
41,
74,
98
] | 51 | [
"41-14=27",
"98-74=24",
"27+24=51"
] | Current State: 51:[14, 41, 74, 98], Operations: []
Exploring Operation: 41-14=27, Resulting Numbers: [74, 98, 27]
Generated Node #2: [74, 98, 27] from Operation: 41-14=27
Current State: 51:[74, 98, 27], Operations: ['41-14=27']
Exploring Operation: 98-74=24, Resulting Numbers: [27, 24]
Generated Node #3: [27, 24] from Operation: 98-74=24
Current State: 51:[27, 24], Operations: ['41-14=27', '98-74=24']
Exploring Operation: 27+24=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
21,
3,
50,
52
] | 22 | [
"21+3=24",
"52-50=2",
"24-2=22"
] | Current State: 22:[21, 3, 50, 52], Operations: []
Exploring Operation: 21+3=24, Resulting Numbers: [50, 52, 24]
Generated Node #2: [50, 52, 24] from Operation: 21+3=24
Current State: 22:[50, 52, 24], Operations: ['21+3=24']
Exploring Operation: 52-50=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 52-50=2
Current State: 22:[24, 2], Operations: ['21+3=24', '52-50=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
2,
48,
7,
91
] | 93 | [
"91-48=43",
"2*43=86",
"7+86=93"
] | Current State: 93:[2, 48, 7, 91], Operations: []
Exploring Operation: 91-48=43, Resulting Numbers: [2, 7, 43]
Generated Node #2: [2, 7, 43] from Operation: 91-48=43
Current State: 93:[2, 7, 43], Operations: ['91-48=43']
Exploring Operation: 2*43=86, Resulting Numbers: [7, 86]
Generated Node #3: [7, 86] from Operation: 2*43=86
Current State: 93:[7, 86], Operations: ['91-48=43', '2*43=86']
Exploring Operation: 7+86=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
53,
79,
99,
17
] | 11 | [
"79-53=26",
"26-17=9",
"99/9=11"
] | Current State: 11:[53, 79, 99, 17], Operations: []
Exploring Operation: 79-53=26, Resulting Numbers: [99, 17, 26]
Generated Node #2: [99, 17, 26] from Operation: 79-53=26
Current State: 11:[99, 17, 26], Operations: ['79-53=26']
Exploring Operation: 26-17=9, Resulting Numbers: [99, 9]
Generated Node #3: [99, 9] from Operation: 26-17=9
Current State: 11:[99, 9], Operations: ['79-53=26', '26-17=9']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
1,
45,
28,
90
] | 73 | [
"1*45=45",
"28+90=118",
"118-45=73"
] | Current State: 73:[1, 45, 28, 90], Operations: []
Exploring Operation: 1*45=45, Resulting Numbers: [28, 90, 45]
Generated Node #2: [28, 90, 45] from Operation: 1*45=45
Current State: 73:[28, 90, 45], Operations: ['1*45=45']
Exploring Operation: 28+90=118, Resulting Numbers: [45, 118]
Generated Node #3: [45, 118] from Operation: 28+90=118
Current State: 73:[45, 118], Operations: ['1*45=45', '28+90=118']
Exploring Operation: 118-45=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
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