nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
41,
41,
18,
13
] | 38 | [
"41+13=54",
"54/18=3",
"41-3=38"
] | Current State: 38:[41, 41, 18, 13], Operations: []
Exploring Operation: 41+13=54, Resulting Numbers: [18, 54]
Generated Node #2: [18, 54] from Operation: 41+13=54
Current State: 38:[18, 54], Operations: ['41+13=54']
Exploring Operation: 54/18=3, Resulting Numbers: [3]
3,38 equal: Goal Reached
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
25,
12,
20,
5
] | 50 | [
"25+5=30",
"20*30=600",
"600/12=50"
] | Current State: 50:[25, 12, 20, 5], Operations: []
Exploring Operation: 25+5=30, Resulting Numbers: [12, 20, 30]
Generated Node #2: [12, 20, 30] from Operation: 25+5=30
Current State: 50:[12, 20, 30], Operations: ['25+5=30']
Exploring Operation: 20*30=600, Resulting Numbers: [12, 600]
Generated Node #3: [12, 600] from Operation: 20*30=600
Current State: 50:[12, 600], Operations: ['25+5=30', '20*30=600']
Exploring Operation: 600/12=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
72,
51,
27,
25
] | 42 | [
"72-51=21",
"27-25=2",
"21*2=42"
] | Current State: 42:[72, 51, 27, 25], Operations: []
Exploring Operation: 72-51=21, Resulting Numbers: [27, 25, 21]
Generated Node #2: [27, 25, 21] from Operation: 72-51=21
Current State: 42:[27, 25, 21], Operations: ['72-51=21']
Exploring Operation: 27-25=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 27-25=2
Current State: 42:[21, 2], Operations: ['72-51=21', '27-25=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
54,
66,
57,
17
] | 23 | [
"66-57=9",
"54/9=6",
"17+6=23"
] | Current State: 23:[54, 66, 57, 17], Operations: []
Exploring Operation: 66-57=9, Resulting Numbers: [54, 17, 9]
Generated Node #2: [54, 17, 9] from Operation: 66-57=9
Current State: 23:[54, 17, 9], Operations: ['66-57=9']
Exploring Operation: 54/9=6, Resulting Numbers: [17, 6]
Generated Node #3: [17, 6] from Operation: 54/9=6
Current State: 23:[17, 6], Operations: ['66-57=9', '54/9=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
30,
97,
83,
61
] | 45 | [
"97-30=67",
"83-61=22",
"67-22=45"
] | Current State: 45:[30, 97, 83, 61], Operations: []
Exploring Operation: 97-30=67, Resulting Numbers: [83, 61, 67]
Generated Node #2: [83, 61, 67] from Operation: 97-30=67
Current State: 45:[83, 61, 67], Operations: ['97-30=67']
Exploring Operation: 83-61=22, Resulting Numbers: [67, 22]
Generated Node #3: [67, 22] from Operation: 83-61=22
Current State: 45:[67, 22], Operations: ['97-30=67', '83-61=22']
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
19,
12,
70,
56
] | 62 | [
"19-12=7",
"56/7=8",
"70-8=62"
] | Current State: 62:[19, 12, 70, 56], Operations: []
Exploring Operation: 19-12=7, Resulting Numbers: [70, 56, 7]
Generated Node #2: [70, 56, 7] from Operation: 19-12=7
Current State: 62:[70, 56, 7], Operations: ['19-12=7']
Exploring Operation: 56/7=8, Resulting Numbers: [70, 8]
Generated Node #3: [70, 8] from Operation: 56/7=8
Current State: 62:[70, 8], Operations: ['19-12=7', '56/7=8']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
17,
74,
16,
67
] | 77 | [
"67-16=51",
"51/17=3",
"74+3=77"
] | Current State: 77:[17, 74, 16, 67], Operations: []
Exploring Operation: 67-16=51, Resulting Numbers: [17, 74, 51]
Generated Node #2: [17, 74, 51] from Operation: 67-16=51
Current State: 77:[17, 74, 51], Operations: ['67-16=51']
Exploring Operation: 51/17=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 51/17=3
Current State: 77:[74, 3], Operations: ['67-16=51', '51/17=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
49,
87,
30,
60
] | 36 | [
"87-49=38",
"60/30=2",
"38-2=36"
] | Current State: 36:[49, 87, 30, 60], Operations: []
Exploring Operation: 87-49=38, Resulting Numbers: [30, 60, 38]
Generated Node #2: [30, 60, 38] from Operation: 87-49=38
Current State: 36:[30, 60, 38], Operations: ['87-49=38']
Exploring Operation: 60/30=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 60/30=2
Current State: 36:[38, 2], Operations: ['87-49=38', '60/30=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
86,
64,
12,
96
] | 14 | [
"86-64=22",
"96/12=8",
"22-8=14"
] | Current State: 14:[86, 64, 12, 96], Operations: []
Exploring Operation: 86-64=22, Resulting Numbers: [12, 96, 22]
Generated Node #2: [12, 96, 22] from Operation: 86-64=22
Current State: 14:[12, 96, 22], Operations: ['86-64=22']
Exploring Operation: 96/12=8, Resulting Numbers: [22, 8]
Generated Node #3: [22, 8] from Operation: 96/12=8
Current State: 14:[22, 8], Operations: ['86-64=22', '96/12=8']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
73,
31,
69,
28
] | 46 | [
"73-31=42",
"69*28=1932",
"1932/42=46"
] | Current State: 46:[73, 31, 69, 28], Operations: []
Exploring Operation: 73-31=42, Resulting Numbers: [69, 28, 42]
Generated Node #2: [69, 28, 42] from Operation: 73-31=42
Current State: 46:[69, 28, 42], Operations: ['73-31=42']
Exploring Operation: 69*28=1932, Resulting Numbers: [42, 1932]
Generated Node #3: [42, 1932] from Operation: 69*28=1932
Current State: 46:[42, 1932], Operations: ['73-31=42', '69*28=1932']
Exploring Operation: 1932/42=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
10,
26,
11,
98
] | 71 | [
"26-10=16",
"98-11=87",
"87-16=71"
] | Current State: 71:[10, 26, 11, 98], Operations: []
Exploring Operation: 26-10=16, Resulting Numbers: [11, 98, 16]
Generated Node #2: [11, 98, 16] from Operation: 26-10=16
Current State: 71:[11, 98, 16], Operations: ['26-10=16']
Exploring Operation: 98-11=87, Resulting Numbers: [16, 87]
Generated Node #3: [16, 87] from Operation: 98-11=87
Current State: 71:[16, 87], Operations: ['26-10=16', '98-11=87']
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
68,
26,
39,
65
] | 17 | [
"68*26=1768",
"39+65=104",
"1768/104=17"
] | Current State: 17:[68, 26, 39, 65], Operations: []
Exploring Operation: 68*26=1768, Resulting Numbers: [39, 65, 1768]
Generated Node #2: [39, 65, 1768] from Operation: 68*26=1768
Current State: 17:[39, 65, 1768], Operations: ['68*26=1768']
Exploring Operation: 39+65=104, Resulting Numbers: [1768, 104]
Generated Node #3: [1768, 104] from Operation: 39+65=104
Current State: 17:[1768, 104], Operations: ['68*26=1768', '39+65=104']
Exploring Operation: 1768/104=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
95,
66,
66,
34
] | 60 | [
"95-34=61",
"66/66=1",
"61-1=60"
] | Current State: 60:[95, 66, 66, 34], Operations: []
Exploring Operation: 95-34=61, Resulting Numbers: [66, 66, 61]
Generated Node #2: [66, 66, 61] from Operation: 95-34=61
Current State: 60:[66, 66, 61], Operations: ['95-34=61']
Exploring Operation: 66/66=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 66/66=1
Current State: 60:[61, 1], Operations: ['95-34=61', '66/66=1']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
63,
78,
37,
52
] | 30 | [
"78-63=15",
"52-37=15",
"15+15=30"
] | Current State: 30:[63, 78, 37, 52], Operations: []
Exploring Operation: 78-63=15, Resulting Numbers: [37, 52, 15]
Generated Node #2: [37, 52, 15] from Operation: 78-63=15
Current State: 30:[37, 52, 15], Operations: ['78-63=15']
Exploring Operation: 52-37=15, Resulting Numbers: [15, 15]
Generated Node #3: [15, 15] from Operation: 52-37=15
Current State: 30:[15, 15], Operations: ['78-63=15', '52-37=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
18,
25,
23,
54
] | 94 | [
"54/18=3",
"23*3=69",
"25+69=94"
] | Current State: 94:[18, 25, 23, 54], Operations: []
Exploring Operation: 54/18=3, Resulting Numbers: [25, 23, 3]
Generated Node #2: [25, 23, 3] from Operation: 54/18=3
Current State: 94:[25, 23, 3], Operations: ['54/18=3']
Exploring Operation: 23*3=69, Resulting Numbers: [25, 69]
Generated Node #3: [25, 69] from Operation: 23*3=69
Current State: 94:[25, 69], Operations: ['54/18=3', '23*3=69']
Exploring Operation: 25+69=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
45,
56,
92,
24
] | 42 | [
"45+24=69",
"56*69=3864",
"3864/92=42"
] | Current State: 42:[45, 56, 92, 24], Operations: []
Exploring Operation: 45+24=69, Resulting Numbers: [56, 92, 69]
Generated Node #2: [56, 92, 69] from Operation: 45+24=69
Current State: 42:[56, 92, 69], Operations: ['45+24=69']
Exploring Operation: 56*69=3864, Resulting Numbers: [92, 3864]
Generated Node #3: [92, 3864] from Operation: 56*69=3864
Current State: 42:[92, 3864], Operations: ['45+24=69', '56*69=3864']
Exploring Operation: 3864/92=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
88,
89,
75,
28
] | 86 | [
"89-75=14",
"28/14=2",
"88-2=86"
] | Current State: 86:[88, 89, 75, 28], Operations: []
Exploring Operation: 89-75=14, Resulting Numbers: [88, 28, 14]
Generated Node #2: [88, 28, 14] from Operation: 89-75=14
Current State: 86:[88, 28, 14], Operations: ['89-75=14']
Exploring Operation: 28/14=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 28/14=2
Current State: 86:[88, 2], Operations: ['89-75=14', '28/14=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
43,
34,
16,
39
] | 72 | [
"43-39=4",
"34-16=18",
"4*18=72"
] | Current State: 72:[43, 34, 16, 39], Operations: []
Exploring Operation: 43-39=4, Resulting Numbers: [34, 16, 4]
Generated Node #2: [34, 16, 4] from Operation: 43-39=4
Current State: 72:[34, 16, 4], Operations: ['43-39=4']
Exploring Operation: 34-16=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 34-16=18
Current State: 72:[4, 18], Operations: ['43-39=4', '34-16=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
12,
28,
72,
3
] | 65 | [
"12/3=4",
"28/4=7",
"72-7=65"
] | Current State: 65:[12, 28, 72, 3], Operations: []
Exploring Operation: 12/3=4, Resulting Numbers: [28, 72, 4]
Generated Node #2: [28, 72, 4] from Operation: 12/3=4
Current State: 65:[28, 72, 4], Operations: ['12/3=4']
Exploring Operation: 28/4=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 28/4=7
Current State: 65:[72, 7], Operations: ['12/3=4', '28/4=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
58,
80,
36,
66
] | 52 | [
"80-58=22",
"66-36=30",
"22+30=52"
] | Current State: 52:[58, 80, 36, 66], Operations: []
Exploring Operation: 80-58=22, Resulting Numbers: [36, 66, 22]
Generated Node #2: [36, 66, 22] from Operation: 80-58=22
Current State: 52:[36, 66, 22], Operations: ['80-58=22']
Exploring Operation: 66-36=30, Resulting Numbers: [22, 30]
Generated Node #3: [22, 30] from Operation: 66-36=30
Current State: 52:[22, 30], Operations: ['80-58=22', '66-36=30']
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
69,
62,
14,
71
] | 69 | [
"69-62=7",
"14/7=2",
"71-2=69"
] | Current State: 69:[69, 62, 14, 71], Operations: []
Exploring Operation: 69-62=7, Resulting Numbers: [14, 71, 7]
Generated Node #2: [14, 71, 7] from Operation: 69-62=7
Current State: 69:[14, 71, 7], Operations: ['69-62=7']
Exploring Operation: 14/7=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 14/7=2
Current State: 69:[71, 2], Operations: ['69-62=7', '14/7=2']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
32,
85,
77,
51
] | 81 | [
"77+51=128",
"128/32=4",
"85-4=81"
] | Current State: 81:[32, 85, 77, 51], Operations: []
Exploring Operation: 77+51=128, Resulting Numbers: [32, 85, 128]
Generated Node #2: [32, 85, 128] from Operation: 77+51=128
Current State: 81:[32, 85, 128], Operations: ['77+51=128']
Exploring Operation: 128/32=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 128/32=4
Current State: 81:[85, 4], Operations: ['77+51=128', '128/32=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
39,
20,
22,
6
] | 66 | [
"39-6=33",
"22-20=2",
"33*2=66"
] | Current State: 66:[39, 20, 22, 6], Operations: []
Exploring Operation: 39-6=33, Resulting Numbers: [20, 22, 33]
Generated Node #2: [20, 22, 33] from Operation: 39-6=33
Current State: 66:[20, 22, 33], Operations: ['39-6=33']
Exploring Operation: 22-20=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 22-20=2
Current State: 66:[33, 2], Operations: ['39-6=33', '22-20=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
96,
93,
27,
9
] | 90 | [
"96-93=3",
"27*3=81",
"9+81=90"
] | Current State: 90:[96, 93, 27, 9], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [27, 9, 3]
Generated Node #2: [27, 9, 3] from Operation: 96-93=3
Current State: 90:[27, 9, 3], Operations: ['96-93=3']
Exploring Operation: 27*3=81, Resulting Numbers: [9, 81]
Generated Node #3: [9, 81] from Operation: 27*3=81
Current State: 90:[9, 81], Operations: ['96-93=3', '27*3=81']
Exploring Operation: 9+81=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
3,
43,
88,
51
] | 92 | [
"3*43=129",
"88-51=37",
"129-37=92"
] | Current State: 92:[3, 43, 88, 51], Operations: []
Exploring Operation: 3*43=129, Resulting Numbers: [88, 51, 129]
Generated Node #2: [88, 51, 129] from Operation: 3*43=129
Current State: 92:[88, 51, 129], Operations: ['3*43=129']
Exploring Operation: 88-51=37, Resulting Numbers: [129, 37]
Generated Node #3: [129, 37] from Operation: 88-51=37
Current State: 92:[129, 37], Operations: ['3*43=129', '88-51=37']
Exploring Operation: 129-37=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
14,
80,
35,
21
] | 20 | [
"14*80=1120",
"35+21=56",
"1120/56=20"
] | Current State: 20:[14, 80, 35, 21], Operations: []
Exploring Operation: 14*80=1120, Resulting Numbers: [35, 21, 1120]
Generated Node #2: [35, 21, 1120] from Operation: 14*80=1120
Current State: 20:[35, 21, 1120], Operations: ['14*80=1120']
Exploring Operation: 35+21=56, Resulting Numbers: [1120, 56]
Generated Node #3: [1120, 56] from Operation: 35+21=56
Current State: 20:[1120, 56], Operations: ['14*80=1120', '35+21=56']
Exploring Operation: 1120/56=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
48,
88,
78,
17
] | 86 | [
"48+88=136",
"136/17=8",
"78+8=86"
] | Current State: 86:[48, 88, 78, 17], Operations: []
Exploring Operation: 48+88=136, Resulting Numbers: [78, 17, 136]
Generated Node #2: [78, 17, 136] from Operation: 48+88=136
Current State: 86:[78, 17, 136], Operations: ['48+88=136']
Exploring Operation: 136/17=8, Resulting Numbers: [78, 8]
Generated Node #3: [78, 8] from Operation: 136/17=8
Current State: 86:[78, 8], Operations: ['48+88=136', '136/17=8']
Exploring Operation: 78+8=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
55,
68,
83,
55
] | 83 | [
"55-55=0",
"68*0=0",
"83+0=83"
] | Current State: 83:[55, 68, 83, 55], Operations: []
Exploring Operation: 55-55=0, Resulting Numbers: [68, 83, 0]
Generated Node #2: [68, 83, 0] from Operation: 55-55=0
Current State: 83:[68, 83, 0], Operations: ['55-55=0']
Exploring Operation: 68*0=0, Resulting Numbers: [83, 0]
Generated Node #3: [83, 0] from Operation: 68*0=0
Current State: 83:[83, 0], Operations: ['55-55=0', '68*0=0']
Exploring Operation: 83+0=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
7,
24,
14,
12
] | 94 | [
"7*12=84",
"24-14=10",
"84+10=94"
] | Current State: 94:[7, 24, 14, 12], Operations: []
Exploring Operation: 7*12=84, Resulting Numbers: [24, 14, 84]
Generated Node #2: [24, 14, 84] from Operation: 7*12=84
Current State: 94:[24, 14, 84], Operations: ['7*12=84']
Exploring Operation: 24-14=10, Resulting Numbers: [84, 10]
Generated Node #3: [84, 10] from Operation: 24-14=10
Current State: 94:[84, 10], Operations: ['7*12=84', '24-14=10']
Exploring Operation: 84+10=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
2,
3,
14,
3
] | 14 | [
"3-3=0",
"2*0=0",
"14+0=14"
] | Current State: 14:[2, 3, 14, 3], Operations: []
Exploring Operation: 3-3=0, Resulting Numbers: [2, 14, 0]
Generated Node #2: [2, 14, 0] from Operation: 3-3=0
Current State: 14:[2, 14, 0], Operations: ['3-3=0']
Exploring Operation: 2*0=0, Resulting Numbers: [14, 0]
Generated Node #3: [14, 0] from Operation: 2*0=0
Current State: 14:[14, 0], Operations: ['3-3=0', '2*0=0']
Exploring Operation: 14+0=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
37,
7,
33,
2
] | 56 | [
"37+33=70",
"7*2=14",
"70-14=56"
] | Current State: 56:[37, 7, 33, 2], Operations: []
Exploring Operation: 37+33=70, Resulting Numbers: [7, 2, 70]
Generated Node #2: [7, 2, 70] from Operation: 37+33=70
Current State: 56:[7, 2, 70], Operations: ['37+33=70']
Exploring Operation: 7*2=14, Resulting Numbers: [70, 14]
Generated Node #3: [70, 14] from Operation: 7*2=14
Current State: 56:[70, 14], Operations: ['37+33=70', '7*2=14']
Exploring Operation: 70-14=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
36,
79,
12,
49
] | 90 | [
"36/12=3",
"79-49=30",
"3*30=90"
] | Current State: 90:[36, 79, 12, 49], Operations: []
Exploring Operation: 36/12=3, Resulting Numbers: [79, 49, 3]
Generated Node #2: [79, 49, 3] from Operation: 36/12=3
Current State: 90:[79, 49, 3], Operations: ['36/12=3']
Exploring Operation: 79-49=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 79-49=30
Current State: 90:[3, 30], Operations: ['36/12=3', '79-49=30']
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
5,
27,
46,
51
] | 52 | [
"51-46=5",
"5*5=25",
"27+25=52"
] | Current State: 52:[5, 27, 46, 51], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [5, 27, 5]
Generated Node #2: [5, 27, 5] from Operation: 51-46=5
Current State: 52:[5, 27, 5], Operations: ['51-46=5']
Exploring Operation: 5*5=25, Resulting Numbers: [27, 25]
Generated Node #3: [27, 25] from Operation: 5*5=25
Current State: 52:[27, 25], Operations: ['51-46=5', '5*5=25']
Exploring Operation: 27+25=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
4,
68,
40,
35
] | 42 | [
"68-40=28",
"28/4=7",
"35+7=42"
] | Current State: 42:[4, 68, 40, 35], Operations: []
Exploring Operation: 68-40=28, Resulting Numbers: [4, 35, 28]
Generated Node #2: [4, 35, 28] from Operation: 68-40=28
Current State: 42:[4, 35, 28], Operations: ['68-40=28']
Exploring Operation: 28/4=7, Resulting Numbers: [35, 7]
Generated Node #3: [35, 7] from Operation: 28/4=7
Current State: 42:[35, 7], Operations: ['68-40=28', '28/4=7']
Exploring Operation: 35+7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
80,
13,
31,
38
] | 60 | [
"80-13=67",
"38-31=7",
"67-7=60"
] | Current State: 60:[80, 13, 31, 38], Operations: []
Exploring Operation: 80-13=67, Resulting Numbers: [31, 38, 67]
Generated Node #2: [31, 38, 67] from Operation: 80-13=67
Current State: 60:[31, 38, 67], Operations: ['80-13=67']
Exploring Operation: 38-31=7, Resulting Numbers: [67, 7]
Generated Node #3: [67, 7] from Operation: 38-31=7
Current State: 60:[67, 7], Operations: ['80-13=67', '38-31=7']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
57,
72,
2,
45
] | 32 | [
"72-57=15",
"2+45=47",
"47-15=32"
] | Current State: 32:[57, 72, 2, 45], Operations: []
Exploring Operation: 72-57=15, Resulting Numbers: [2, 45, 15]
Generated Node #2: [2, 45, 15] from Operation: 72-57=15
Current State: 32:[2, 45, 15], Operations: ['72-57=15']
Exploring Operation: 2+45=47, Resulting Numbers: [15, 47]
Generated Node #3: [15, 47] from Operation: 2+45=47
Current State: 32:[15, 47], Operations: ['72-57=15', '2+45=47']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
8,
72,
19,
17
] | 45 | [
"72/8=9",
"19+17=36",
"9+36=45"
] | Current State: 45:[8, 72, 19, 17], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [19, 17, 9]
Generated Node #2: [19, 17, 9] from Operation: 72/8=9
Current State: 45:[19, 17, 9], Operations: ['72/8=9']
Exploring Operation: 19+17=36, Resulting Numbers: [9, 36]
Generated Node #3: [9, 36] from Operation: 19+17=36
Current State: 45:[9, 36], Operations: ['72/8=9', '19+17=36']
Exploring Operation: 9+36=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
36,
14,
2,
11
] | 28 | [
"36+14=50",
"2*11=22",
"50-22=28"
] | Current State: 28:[36, 14, 2, 11], Operations: []
Exploring Operation: 36+14=50, Resulting Numbers: [2, 11, 50]
Generated Node #2: [2, 11, 50] from Operation: 36+14=50
Current State: 28:[2, 11, 50], Operations: ['36+14=50']
Exploring Operation: 2*11=22, Resulting Numbers: [50, 22]
Generated Node #3: [50, 22] from Operation: 2*11=22
Current State: 28:[50, 22], Operations: ['36+14=50', '2*11=22']
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
73,
94,
75,
38
] | 16 | [
"94-73=21",
"75-38=37",
"37-21=16"
] | Current State: 16:[73, 94, 75, 38], Operations: []
Exploring Operation: 94-73=21, Resulting Numbers: [75, 38, 21]
Generated Node #2: [75, 38, 21] from Operation: 94-73=21
Current State: 16:[75, 38, 21], Operations: ['94-73=21']
Exploring Operation: 75-38=37, Resulting Numbers: [21, 37]
Generated Node #3: [21, 37] from Operation: 75-38=37
Current State: 16:[21, 37], Operations: ['94-73=21', '75-38=37']
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
55,
78,
12,
47
] | 98 | [
"55+78=133",
"47-12=35",
"133-35=98"
] | Current State: 98:[55, 78, 12, 47], Operations: []
Exploring Operation: 55+78=133, Resulting Numbers: [12, 47, 133]
Generated Node #2: [12, 47, 133] from Operation: 55+78=133
Current State: 98:[12, 47, 133], Operations: ['55+78=133']
Exploring Operation: 47-12=35, Resulting Numbers: [133, 35]
Generated Node #3: [133, 35] from Operation: 47-12=35
Current State: 98:[133, 35], Operations: ['55+78=133', '47-12=35']
Exploring Operation: 133-35=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
42,
37,
57,
60
] | 41 | [
"57-42=15",
"60/15=4",
"37+4=41"
] | Current State: 41:[42, 37, 57, 60], Operations: []
Exploring Operation: 57-42=15, Resulting Numbers: [37, 60, 15]
Generated Node #2: [37, 60, 15] from Operation: 57-42=15
Current State: 41:[37, 60, 15], Operations: ['57-42=15']
Exploring Operation: 60/15=4, Resulting Numbers: [37, 4]
Generated Node #3: [37, 4] from Operation: 60/15=4
Current State: 41:[37, 4], Operations: ['57-42=15', '60/15=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
48,
9,
29,
98
] | 12 | [
"48+9=57",
"98-29=69",
"69-57=12"
] | Current State: 12:[48, 9, 29, 98], Operations: []
Exploring Operation: 48+9=57, Resulting Numbers: [29, 98, 57]
Generated Node #2: [29, 98, 57] from Operation: 48+9=57
Current State: 12:[29, 98, 57], Operations: ['48+9=57']
Exploring Operation: 98-29=69, Resulting Numbers: [57, 69]
Generated Node #3: [57, 69] from Operation: 98-29=69
Current State: 12:[57, 69], Operations: ['48+9=57', '98-29=69']
Exploring Operation: 69-57=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
36,
37,
2,
4
] | 42 | [
"36-4=32",
"37*2=74",
"74-32=42"
] | Current State: 42:[36, 37, 2, 4], Operations: []
Exploring Operation: 36-4=32, Resulting Numbers: [37, 2, 32]
Generated Node #2: [37, 2, 32] from Operation: 36-4=32
Current State: 42:[37, 2, 32], Operations: ['36-4=32']
Exploring Operation: 37*2=74, Resulting Numbers: [32, 74]
Generated Node #3: [32, 74] from Operation: 37*2=74
Current State: 42:[32, 74], Operations: ['36-4=32', '37*2=74']
Exploring Operation: 74-32=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
7,
53,
39,
28
] | 24 | [
"39-28=11",
"7*11=77",
"77-53=24"
] | Current State: 24:[7, 53, 39, 28], Operations: []
Exploring Operation: 39-28=11, Resulting Numbers: [7, 53, 11]
Generated Node #2: [7, 53, 11] from Operation: 39-28=11
Current State: 24:[7, 53, 11], Operations: ['39-28=11']
Exploring Operation: 7*11=77, Resulting Numbers: [53, 77]
Generated Node #3: [53, 77] from Operation: 7*11=77
Current State: 24:[53, 77], Operations: ['39-28=11', '7*11=77']
Exploring Operation: 77-53=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
5,
53,
98,
91
] | 18 | [
"98-91=7",
"5*7=35",
"53-35=18"
] | Current State: 18:[5, 53, 98, 91], Operations: []
Exploring Operation: 98-91=7, Resulting Numbers: [5, 53, 7]
Generated Node #2: [5, 53, 7] from Operation: 98-91=7
Current State: 18:[5, 53, 7], Operations: ['98-91=7']
Exploring Operation: 5*7=35, Resulting Numbers: [53, 35]
Generated Node #3: [53, 35] from Operation: 5*7=35
Current State: 18:[53, 35], Operations: ['98-91=7', '5*7=35']
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
76,
26,
35,
53
] | 38 | [
"76-26=50",
"35+53=88",
"88-50=38"
] | Current State: 38:[76, 26, 35, 53], Operations: []
Exploring Operation: 76-26=50, Resulting Numbers: [35, 53, 50]
Generated Node #2: [35, 53, 50] from Operation: 76-26=50
Current State: 38:[35, 53, 50], Operations: ['76-26=50']
Exploring Operation: 35+53=88, Resulting Numbers: [50, 88]
Generated Node #3: [50, 88] from Operation: 35+53=88
Current State: 38:[50, 88], Operations: ['76-26=50', '35+53=88']
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
18,
73,
3,
14
] | 49 | [
"18+73=91",
"3*14=42",
"91-42=49"
] | Current State: 49:[18, 73, 3, 14], Operations: []
Exploring Operation: 18+73=91, Resulting Numbers: [3, 14, 91]
Generated Node #2: [3, 14, 91] from Operation: 18+73=91
Current State: 49:[3, 14, 91], Operations: ['18+73=91']
Exploring Operation: 3*14=42, Resulting Numbers: [91, 42]
Generated Node #3: [91, 42] from Operation: 3*14=42
Current State: 49:[91, 42], Operations: ['18+73=91', '3*14=42']
Exploring Operation: 91-42=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
14,
95,
48,
39
] | 72 | [
"95-14=81",
"48-39=9",
"81-9=72"
] | Current State: 72:[14, 95, 48, 39], Operations: []
Exploring Operation: 95-14=81, Resulting Numbers: [48, 39, 81]
Generated Node #2: [48, 39, 81] from Operation: 95-14=81
Current State: 72:[48, 39, 81], Operations: ['95-14=81']
Exploring Operation: 48-39=9, Resulting Numbers: [81, 9]
Generated Node #3: [81, 9] from Operation: 48-39=9
Current State: 72:[81, 9], Operations: ['95-14=81', '48-39=9']
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
45,
20,
44,
20
] | 49 | [
"45-20=25",
"44-20=24",
"25+24=49"
] | Current State: 49:[45, 20, 44, 20], Operations: []
Exploring Operation: 45-20=25, Resulting Numbers: [44, 25]
Generated Node #2: [44, 25] from Operation: 45-20=25
Current State: 49:[44, 25], Operations: ['45-20=25']
Exploring Operation: 44-20=24, Resulting Numbers: [25, 24]
Generated Node #3: [25, 24] from Operation: 44-20=24
Current State: 49:[25, 24], Operations: ['45-20=25', '44-20=24']
Exploring Operation: 25+24=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
24,
15,
1,
91
] | 53 | [
"24+15=39",
"1+91=92",
"92-39=53"
] | Current State: 53:[24, 15, 1, 91], Operations: []
Exploring Operation: 24+15=39, Resulting Numbers: [1, 91, 39]
Generated Node #2: [1, 91, 39] from Operation: 24+15=39
Current State: 53:[1, 91, 39], Operations: ['24+15=39']
Exploring Operation: 1+91=92, Resulting Numbers: [39, 92]
Generated Node #3: [39, 92] from Operation: 1+91=92
Current State: 53:[39, 92], Operations: ['24+15=39', '1+91=92']
Exploring Operation: 92-39=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
11,
16,
45,
14
] | 86 | [
"11+16=27",
"45+14=59",
"27+59=86"
] | Current State: 86:[11, 16, 45, 14], Operations: []
Exploring Operation: 11+16=27, Resulting Numbers: [45, 14, 27]
Generated Node #2: [45, 14, 27] from Operation: 11+16=27
Current State: 86:[45, 14, 27], Operations: ['11+16=27']
Exploring Operation: 45+14=59, Resulting Numbers: [27, 59]
Generated Node #3: [27, 59] from Operation: 45+14=59
Current State: 86:[27, 59], Operations: ['11+16=27', '45+14=59']
Exploring Operation: 27+59=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
53,
28,
5,
44
] | 73 | [
"53-44=9",
"5*9=45",
"28+45=73"
] | Current State: 73:[53, 28, 5, 44], Operations: []
Exploring Operation: 53-44=9, Resulting Numbers: [28, 5, 9]
Generated Node #2: [28, 5, 9] from Operation: 53-44=9
Current State: 73:[28, 5, 9], Operations: ['53-44=9']
Exploring Operation: 5*9=45, Resulting Numbers: [28, 45]
Generated Node #3: [28, 45] from Operation: 5*9=45
Current State: 73:[28, 45], Operations: ['53-44=9', '5*9=45']
Exploring Operation: 28+45=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
23,
92,
11,
24
] | 56 | [
"92-23=69",
"24-11=13",
"69-13=56"
] | Current State: 56:[23, 92, 11, 24], Operations: []
Exploring Operation: 92-23=69, Resulting Numbers: [11, 24, 69]
Generated Node #2: [11, 24, 69] from Operation: 92-23=69
Current State: 56:[11, 24, 69], Operations: ['92-23=69']
Exploring Operation: 24-11=13, Resulting Numbers: [69, 13]
Generated Node #3: [69, 13] from Operation: 24-11=13
Current State: 56:[69, 13], Operations: ['92-23=69', '24-11=13']
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
36,
98,
67,
76
] | 53 | [
"98-36=62",
"76-67=9",
"62-9=53"
] | Current State: 53:[36, 98, 67, 76], Operations: []
Exploring Operation: 98-36=62, Resulting Numbers: [67, 76, 62]
Generated Node #2: [67, 76, 62] from Operation: 98-36=62
Current State: 53:[67, 76, 62], Operations: ['98-36=62']
Exploring Operation: 76-67=9, Resulting Numbers: [62, 9]
Generated Node #3: [62, 9] from Operation: 76-67=9
Current State: 53:[62, 9], Operations: ['98-36=62', '76-67=9']
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
62,
17,
80,
10
] | 28 | [
"62+80=142",
"17*10=170",
"170-142=28"
] | Current State: 28:[62, 17, 80, 10], Operations: []
Exploring Operation: 62+80=142, Resulting Numbers: [17, 10, 142]
Generated Node #2: [17, 10, 142] from Operation: 62+80=142
Current State: 28:[17, 10, 142], Operations: ['62+80=142']
Exploring Operation: 17*10=170, Resulting Numbers: [142, 170]
Generated Node #3: [142, 170] from Operation: 17*10=170
Current State: 28:[142, 170], Operations: ['62+80=142', '17*10=170']
Exploring Operation: 170-142=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
99,
96,
73,
17
] | 93 | [
"99-96=3",
"73+17=90",
"3+90=93"
] | Current State: 93:[99, 96, 73, 17], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [73, 17, 3]
Generated Node #2: [73, 17, 3] from Operation: 99-96=3
Current State: 93:[73, 17, 3], Operations: ['99-96=3']
Exploring Operation: 73+17=90, Resulting Numbers: [3, 90]
Generated Node #3: [3, 90] from Operation: 73+17=90
Current State: 93:[3, 90], Operations: ['99-96=3', '73+17=90']
Exploring Operation: 3+90=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
37,
61,
33,
64
] | 12 | [
"37-33=4",
"64-61=3",
"4*3=12"
] | Current State: 12:[37, 61, 33, 64], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [61, 64, 4]
Generated Node #2: [61, 64, 4] from Operation: 37-33=4
Current State: 12:[61, 64, 4], Operations: ['37-33=4']
Exploring Operation: 64-61=3, Resulting Numbers: [4, 3]
Generated Node #3: [4, 3] from Operation: 64-61=3
Current State: 12:[4, 3], Operations: ['37-33=4', '64-61=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
20,
31,
26,
98
] | 61 | [
"31-20=11",
"98-26=72",
"72-11=61"
] | Current State: 61:[20, 31, 26, 98], Operations: []
Exploring Operation: 31-20=11, Resulting Numbers: [26, 98, 11]
Generated Node #2: [26, 98, 11] from Operation: 31-20=11
Current State: 61:[26, 98, 11], Operations: ['31-20=11']
Exploring Operation: 98-26=72, Resulting Numbers: [11, 72]
Generated Node #3: [11, 72] from Operation: 98-26=72
Current State: 61:[11, 72], Operations: ['31-20=11', '98-26=72']
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
50,
80,
35,
17
] | 48 | [
"80-50=30",
"35-17=18",
"30+18=48"
] | Current State: 48:[50, 80, 35, 17], Operations: []
Exploring Operation: 80-50=30, Resulting Numbers: [35, 17, 30]
Generated Node #2: [35, 17, 30] from Operation: 80-50=30
Current State: 48:[35, 17, 30], Operations: ['80-50=30']
Exploring Operation: 35-17=18, Resulting Numbers: [30, 18]
Generated Node #3: [30, 18] from Operation: 35-17=18
Current State: 48:[30, 18], Operations: ['80-50=30', '35-17=18']
Exploring Operation: 30+18=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
38,
70,
32,
45
] | 22 | [
"45-38=7",
"70/7=10",
"32-10=22"
] | Current State: 22:[38, 70, 32, 45], Operations: []
Exploring Operation: 45-38=7, Resulting Numbers: [70, 32, 7]
Generated Node #2: [70, 32, 7] from Operation: 45-38=7
Current State: 22:[70, 32, 7], Operations: ['45-38=7']
Exploring Operation: 70/7=10, Resulting Numbers: [32, 10]
Generated Node #3: [32, 10] from Operation: 70/7=10
Current State: 22:[32, 10], Operations: ['45-38=7', '70/7=10']
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
52,
72,
60,
64
] | 96 | [
"52*72=3744",
"60*64=3840",
"3840-3744=96"
] | Current State: 96:[52, 72, 60, 64], Operations: []
Exploring Operation: 52*72=3744, Resulting Numbers: [60, 64, 3744]
Generated Node #2: [60, 64, 3744] from Operation: 52*72=3744
Current State: 96:[60, 64, 3744], Operations: ['52*72=3744']
Exploring Operation: 60*64=3840, Resulting Numbers: [3744, 3840]
Generated Node #3: [3744, 3840] from Operation: 60*64=3840
Current State: 96:[3744, 3840], Operations: ['52*72=3744', '60*64=3840']
Exploring Operation: 3840-3744=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
34,
50,
48,
17
] | 20 | [
"50-34=16",
"48/16=3",
"17+3=20"
] | Current State: 20:[34, 50, 48, 17], Operations: []
Exploring Operation: 50-34=16, Resulting Numbers: [48, 17, 16]
Generated Node #2: [48, 17, 16] from Operation: 50-34=16
Current State: 20:[48, 17, 16], Operations: ['50-34=16']
Exploring Operation: 48/16=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 48/16=3
Current State: 20:[17, 3], Operations: ['50-34=16', '48/16=3']
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
65,
69,
60,
4
] | 61 | [
"69-65=4",
"4/4=1",
"60+1=61"
] | Current State: 61:[65, 69, 60, 4], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [60, 4, 4]
Generated Node #2: [60, 4, 4] from Operation: 69-65=4
Current State: 61:[60, 4, 4], Operations: ['69-65=4']
Exploring Operation: 4/4=1, Resulting Numbers: [60, 1]
Generated Node #3: [60, 1] from Operation: 4/4=1
Current State: 61:[60, 1], Operations: ['69-65=4', '4/4=1']
Exploring Operation: 60+1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
13,
7,
51,
40
] | 26 | [
"51+40=91",
"91/7=13",
"13+13=26"
] | Current State: 26:[13, 7, 51, 40], Operations: []
Exploring Operation: 51+40=91, Resulting Numbers: [13, 7, 91]
Generated Node #2: [13, 7, 91] from Operation: 51+40=91
Current State: 26:[13, 7, 91], Operations: ['51+40=91']
Exploring Operation: 91/7=13, Resulting Numbers: [13, 13]
Generated Node #3: [13, 13] from Operation: 91/7=13
Current State: 26:[13, 13], Operations: ['51+40=91', '91/7=13']
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
25,
12,
64,
2
] | 86 | [
"25*12=300",
"300/2=150",
"150-64=86"
] | Current State: 86:[25, 12, 64, 2], Operations: []
Exploring Operation: 25*12=300, Resulting Numbers: [64, 2, 300]
Generated Node #2: [64, 2, 300] from Operation: 25*12=300
Current State: 86:[64, 2, 300], Operations: ['25*12=300']
Exploring Operation: 300/2=150, Resulting Numbers: [64, 150]
Generated Node #3: [64, 150] from Operation: 300/2=150
Current State: 86:[64, 150], Operations: ['25*12=300', '300/2=150']
Exploring Operation: 150-64=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
74,
42,
17,
72
] | 87 | [
"74-42=32",
"72-17=55",
"32+55=87"
] | Current State: 87:[74, 42, 17, 72], Operations: []
Exploring Operation: 74-42=32, Resulting Numbers: [17, 72, 32]
Generated Node #2: [17, 72, 32] from Operation: 74-42=32
Current State: 87:[17, 72, 32], Operations: ['74-42=32']
Exploring Operation: 72-17=55, Resulting Numbers: [32, 55]
Generated Node #3: [32, 55] from Operation: 72-17=55
Current State: 87:[32, 55], Operations: ['74-42=32', '72-17=55']
Exploring Operation: 32+55=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
67,
43,
27,
14
] | 69 | [
"67+43=110",
"27+14=41",
"110-41=69"
] | Current State: 69:[67, 43, 27, 14], Operations: []
Exploring Operation: 67+43=110, Resulting Numbers: [27, 14, 110]
Generated Node #2: [27, 14, 110] from Operation: 67+43=110
Current State: 69:[27, 14, 110], Operations: ['67+43=110']
Exploring Operation: 27+14=41, Resulting Numbers: [110, 41]
Generated Node #3: [110, 41] from Operation: 27+14=41
Current State: 69:[110, 41], Operations: ['67+43=110', '27+14=41']
Exploring Operation: 110-41=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
13,
83,
63,
16
] | 62 | [
"13*16=208",
"83+63=146",
"208-146=62"
] | Current State: 62:[13, 83, 63, 16], Operations: []
Exploring Operation: 13*16=208, Resulting Numbers: [83, 63, 208]
Generated Node #2: [83, 63, 208] from Operation: 13*16=208
Current State: 62:[83, 63, 208], Operations: ['13*16=208']
Exploring Operation: 83+63=146, Resulting Numbers: [208, 146]
Generated Node #3: [208, 146] from Operation: 83+63=146
Current State: 62:[208, 146], Operations: ['13*16=208', '83+63=146']
Exploring Operation: 208-146=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
39,
2,
19,
27
] | 34 | [
"39-19=20",
"2*27=54",
"54-20=34"
] | Current State: 34:[39, 2, 19, 27], Operations: []
Exploring Operation: 39-19=20, Resulting Numbers: [2, 27, 20]
Generated Node #2: [2, 27, 20] from Operation: 39-19=20
Current State: 34:[2, 27, 20], Operations: ['39-19=20']
Exploring Operation: 2*27=54, Resulting Numbers: [20, 54]
Generated Node #3: [20, 54] from Operation: 2*27=54
Current State: 34:[20, 54], Operations: ['39-19=20', '2*27=54']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
81,
4,
21,
19
] | 34 | [
"81-21=60",
"60/4=15",
"19+15=34"
] | Current State: 34:[81, 4, 21, 19], Operations: []
Exploring Operation: 81-21=60, Resulting Numbers: [4, 19, 60]
Generated Node #2: [4, 19, 60] from Operation: 81-21=60
Current State: 34:[4, 19, 60], Operations: ['81-21=60']
Exploring Operation: 60/4=15, Resulting Numbers: [19, 15]
Generated Node #3: [19, 15] from Operation: 60/4=15
Current State: 34:[19, 15], Operations: ['81-21=60', '60/4=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
22,
98,
80,
95
] | 55 | [
"22+98=120",
"80+95=175",
"175-120=55"
] | Current State: 55:[22, 98, 80, 95], Operations: []
Exploring Operation: 22+98=120, Resulting Numbers: [80, 95, 120]
Generated Node #2: [80, 95, 120] from Operation: 22+98=120
Current State: 55:[80, 95, 120], Operations: ['22+98=120']
Exploring Operation: 80+95=175, Resulting Numbers: [120, 175]
Generated Node #3: [120, 175] from Operation: 80+95=175
Current State: 55:[120, 175], Operations: ['22+98=120', '80+95=175']
Exploring Operation: 175-120=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
73,
10,
85,
72
] | 50 | [
"73-10=63",
"85-72=13",
"63-13=50"
] | Current State: 50:[73, 10, 85, 72], Operations: []
Exploring Operation: 73-10=63, Resulting Numbers: [85, 72, 63]
Generated Node #2: [85, 72, 63] from Operation: 73-10=63
Current State: 50:[85, 72, 63], Operations: ['73-10=63']
Exploring Operation: 85-72=13, Resulting Numbers: [63, 13]
Generated Node #3: [63, 13] from Operation: 85-72=13
Current State: 50:[63, 13], Operations: ['73-10=63', '85-72=13']
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
52,
28,
38,
92
] | 50 | [
"52+28=80",
"38+92=130",
"130-80=50"
] | Current State: 50:[52, 28, 38, 92], Operations: []
Exploring Operation: 52+28=80, Resulting Numbers: [38, 92, 80]
Generated Node #2: [38, 92, 80] from Operation: 52+28=80
Current State: 50:[38, 92, 80], Operations: ['52+28=80']
Exploring Operation: 38+92=130, Resulting Numbers: [80, 130]
Generated Node #3: [80, 130] from Operation: 38+92=130
Current State: 50:[80, 130], Operations: ['52+28=80', '38+92=130']
Exploring Operation: 130-80=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
80,
12,
21,
10
] | 40 | [
"80-10=70",
"12*70=840",
"840/21=40"
] | Current State: 40:[80, 12, 21, 10], Operations: []
Exploring Operation: 80-10=70, Resulting Numbers: [12, 21, 70]
Generated Node #2: [12, 21, 70] from Operation: 80-10=70
Current State: 40:[12, 21, 70], Operations: ['80-10=70']
Exploring Operation: 12*70=840, Resulting Numbers: [21, 840]
Generated Node #3: [21, 840] from Operation: 12*70=840
Current State: 40:[21, 840], Operations: ['80-10=70', '12*70=840']
Exploring Operation: 840/21=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
27,
5,
82,
15
] | 65 | [
"27+5=32",
"82+15=97",
"97-32=65"
] | Current State: 65:[27, 5, 82, 15], Operations: []
Exploring Operation: 27+5=32, Resulting Numbers: [82, 15, 32]
Generated Node #2: [82, 15, 32] from Operation: 27+5=32
Current State: 65:[82, 15, 32], Operations: ['27+5=32']
Exploring Operation: 82+15=97, Resulting Numbers: [32, 97]
Generated Node #3: [32, 97] from Operation: 82+15=97
Current State: 65:[32, 97], Operations: ['27+5=32', '82+15=97']
Exploring Operation: 97-32=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
26,
30,
70,
78
] | 43 | [
"78/26=3",
"70-30=40",
"3+40=43"
] | Current State: 43:[26, 30, 70, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [30, 70, 3]
Generated Node #2: [30, 70, 3] from Operation: 78/26=3
Current State: 43:[30, 70, 3], Operations: ['78/26=3']
Exploring Operation: 70-30=40, Resulting Numbers: [3, 40]
Generated Node #3: [3, 40] from Operation: 70-30=40
Current State: 43:[3, 40], Operations: ['78/26=3', '70-30=40']
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
3,
15,
34,
18
] | 28 | [
"15-3=12",
"34-18=16",
"12+16=28"
] | Current State: 28:[3, 15, 34, 18], Operations: []
Exploring Operation: 15-3=12, Resulting Numbers: [34, 18, 12]
Generated Node #2: [34, 18, 12] from Operation: 15-3=12
Current State: 28:[34, 18, 12], Operations: ['15-3=12']
Exploring Operation: 34-18=16, Resulting Numbers: [12, 16]
Generated Node #3: [12, 16] from Operation: 34-18=16
Current State: 28:[12, 16], Operations: ['15-3=12', '34-18=16']
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
40,
76,
91,
95
] | 66 | [
"95-91=4",
"40/4=10",
"76-10=66"
] | Current State: 66:[40, 76, 91, 95], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [40, 76, 4]
Generated Node #2: [40, 76, 4] from Operation: 95-91=4
Current State: 66:[40, 76, 4], Operations: ['95-91=4']
Exploring Operation: 40/4=10, Resulting Numbers: [76, 10]
Generated Node #3: [76, 10] from Operation: 40/4=10
Current State: 66:[76, 10], Operations: ['95-91=4', '40/4=10']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
23,
8,
64,
65
] | 55 | [
"23*8=184",
"64+65=129",
"184-129=55"
] | Current State: 55:[23, 8, 64, 65], Operations: []
Exploring Operation: 23*8=184, Resulting Numbers: [64, 65, 184]
Generated Node #2: [64, 65, 184] from Operation: 23*8=184
Current State: 55:[64, 65, 184], Operations: ['23*8=184']
Exploring Operation: 64+65=129, Resulting Numbers: [184, 129]
Generated Node #3: [184, 129] from Operation: 64+65=129
Current State: 55:[184, 129], Operations: ['23*8=184', '64+65=129']
Exploring Operation: 184-129=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
18,
62,
25,
53
] | 52 | [
"18+62=80",
"53-25=28",
"80-28=52"
] | Current State: 52:[18, 62, 25, 53], Operations: []
Exploring Operation: 18+62=80, Resulting Numbers: [25, 53, 80]
Generated Node #2: [25, 53, 80] from Operation: 18+62=80
Current State: 52:[25, 53, 80], Operations: ['18+62=80']
Exploring Operation: 53-25=28, Resulting Numbers: [80, 28]
Generated Node #3: [80, 28] from Operation: 53-25=28
Current State: 52:[80, 28], Operations: ['18+62=80', '53-25=28']
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
23,
40,
79,
7
] | 42 | [
"23*7=161",
"40+79=119",
"161-119=42"
] | Current State: 42:[23, 40, 79, 7], Operations: []
Exploring Operation: 23*7=161, Resulting Numbers: [40, 79, 161]
Generated Node #2: [40, 79, 161] from Operation: 23*7=161
Current State: 42:[40, 79, 161], Operations: ['23*7=161']
Exploring Operation: 40+79=119, Resulting Numbers: [161, 119]
Generated Node #3: [161, 119] from Operation: 40+79=119
Current State: 42:[161, 119], Operations: ['23*7=161', '40+79=119']
Exploring Operation: 161-119=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
3,
78,
17,
13
] | 92 | [
"13-3=10",
"17*10=170",
"170-78=92"
] | Current State: 92:[3, 78, 17, 13], Operations: []
Exploring Operation: 13-3=10, Resulting Numbers: [78, 17, 10]
Generated Node #2: [78, 17, 10] from Operation: 13-3=10
Current State: 92:[78, 17, 10], Operations: ['13-3=10']
Exploring Operation: 17*10=170, Resulting Numbers: [78, 170]
Generated Node #3: [78, 170] from Operation: 17*10=170
Current State: 92:[78, 170], Operations: ['13-3=10', '17*10=170']
Exploring Operation: 170-78=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
18,
94,
8,
25
] | 94 | [
"18+8=26",
"26-25=1",
"94*1=94"
] | Current State: 94:[18, 94, 8, 25], Operations: []
Exploring Operation: 18+8=26, Resulting Numbers: [94, 25, 26]
Generated Node #2: [94, 25, 26] from Operation: 18+8=26
Current State: 94:[94, 25, 26], Operations: ['18+8=26']
Exploring Operation: 26-25=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 26-25=1
Current State: 94:[94, 1], Operations: ['18+8=26', '26-25=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
49,
48,
30,
38
] | 50 | [
"49-30=19",
"38/19=2",
"48+2=50"
] | Current State: 50:[49, 48, 30, 38], Operations: []
Exploring Operation: 49-30=19, Resulting Numbers: [48, 38, 19]
Generated Node #2: [48, 38, 19] from Operation: 49-30=19
Current State: 50:[48, 38, 19], Operations: ['49-30=19']
Exploring Operation: 38/19=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 38/19=2
Current State: 50:[48, 2], Operations: ['49-30=19', '38/19=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
80,
4,
43,
46
] | 61 | [
"80+43=123",
"4*46=184",
"184-123=61"
] | Current State: 61:[80, 4, 43, 46], Operations: []
Exploring Operation: 80+43=123, Resulting Numbers: [4, 46, 123]
Generated Node #2: [4, 46, 123] from Operation: 80+43=123
Current State: 61:[4, 46, 123], Operations: ['80+43=123']
Exploring Operation: 4*46=184, Resulting Numbers: [123, 184]
Generated Node #3: [123, 184] from Operation: 4*46=184
Current State: 61:[123, 184], Operations: ['80+43=123', '4*46=184']
Exploring Operation: 184-123=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
26,
23,
53,
28
] | 74 | [
"26+23=49",
"53-28=25",
"49+25=74"
] | Current State: 74:[26, 23, 53, 28], Operations: []
Exploring Operation: 26+23=49, Resulting Numbers: [53, 28, 49]
Generated Node #2: [53, 28, 49] from Operation: 26+23=49
Current State: 74:[53, 28, 49], Operations: ['26+23=49']
Exploring Operation: 53-28=25, Resulting Numbers: [49, 25]
Generated Node #3: [49, 25] from Operation: 53-28=25
Current State: 74:[49, 25], Operations: ['26+23=49', '53-28=25']
Exploring Operation: 49+25=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
59,
71,
14,
45
] | 70 | [
"59-14=45",
"45/45=1",
"71-1=70"
] | Current State: 70:[59, 71, 14, 45], Operations: []
Exploring Operation: 59-14=45, Resulting Numbers: [71, 45, 45]
Generated Node #2: [71, 45, 45] from Operation: 59-14=45
Current State: 70:[71, 45, 45], Operations: ['59-14=45']
Exploring Operation: 45/45=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 45/45=1
Current State: 70:[71, 1], Operations: ['59-14=45', '45/45=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
65,
34,
13,
12
] | 98 | [
"65+34=99",
"13-12=1",
"99-1=98"
] | Current State: 98:[65, 34, 13, 12], Operations: []
Exploring Operation: 65+34=99, Resulting Numbers: [13, 12, 99]
Generated Node #2: [13, 12, 99] from Operation: 65+34=99
Current State: 98:[13, 12, 99], Operations: ['65+34=99']
Exploring Operation: 13-12=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 13-12=1
Current State: 98:[99, 1], Operations: ['65+34=99', '13-12=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
2,
13,
56,
93
] | 61 | [
"93-56=37",
"2*37=74",
"74-13=61"
] | Current State: 61:[2, 13, 56, 93], Operations: []
Exploring Operation: 93-56=37, Resulting Numbers: [2, 13, 37]
Generated Node #2: [2, 13, 37] from Operation: 93-56=37
Current State: 61:[2, 13, 37], Operations: ['93-56=37']
Exploring Operation: 2*37=74, Resulting Numbers: [13, 74]
Generated Node #3: [13, 74] from Operation: 2*37=74
Current State: 61:[13, 74], Operations: ['93-56=37', '2*37=74']
Exploring Operation: 74-13=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
37,
61,
35,
60
] | 73 | [
"37+61=98",
"60-35=25",
"98-25=73"
] | Current State: 73:[37, 61, 35, 60], Operations: []
Exploring Operation: 37+61=98, Resulting Numbers: [35, 60, 98]
Generated Node #2: [35, 60, 98] from Operation: 37+61=98
Current State: 73:[35, 60, 98], Operations: ['37+61=98']
Exploring Operation: 60-35=25, Resulting Numbers: [98, 25]
Generated Node #3: [98, 25] from Operation: 60-35=25
Current State: 73:[98, 25], Operations: ['37+61=98', '60-35=25']
Exploring Operation: 98-25=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
28,
99,
43,
14
] | 99 | [
"43-28=15",
"15-14=1",
"99*1=99"
] | Current State: 99:[28, 99, 43, 14], Operations: []
Exploring Operation: 43-28=15, Resulting Numbers: [99, 14, 15]
Generated Node #2: [99, 14, 15] from Operation: 43-28=15
Current State: 99:[99, 14, 15], Operations: ['43-28=15']
Exploring Operation: 15-14=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 15-14=1
Current State: 99:[99, 1], Operations: ['43-28=15', '15-14=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
84,
2,
76,
66
] | 82 | [
"84-76=8",
"2*8=16",
"66+16=82"
] | Current State: 82:[84, 2, 76, 66], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [2, 66, 8]
Generated Node #2: [2, 66, 8] from Operation: 84-76=8
Current State: 82:[2, 66, 8], Operations: ['84-76=8']
Exploring Operation: 2*8=16, Resulting Numbers: [66, 16]
Generated Node #3: [66, 16] from Operation: 2*8=16
Current State: 82:[66, 16], Operations: ['84-76=8', '2*8=16']
Exploring Operation: 66+16=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
1,
46,
86,
67
] | 66 | [
"1+46=47",
"86-67=19",
"47+19=66"
] | Current State: 66:[1, 46, 86, 67], Operations: []
Exploring Operation: 1+46=47, Resulting Numbers: [86, 67, 47]
Generated Node #2: [86, 67, 47] from Operation: 1+46=47
Current State: 66:[86, 67, 47], Operations: ['1+46=47']
Exploring Operation: 86-67=19, Resulting Numbers: [47, 19]
Generated Node #3: [47, 19] from Operation: 86-67=19
Current State: 66:[47, 19], Operations: ['1+46=47', '86-67=19']
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
99,
18,
37,
18
] | 10 | [
"18+37=55",
"18*55=990",
"990/99=10"
] | Current State: 10:[99, 18, 37, 18], Operations: []
Exploring Operation: 18+37=55, Resulting Numbers: [99, 55]
Generated Node #2: [99, 55] from Operation: 18+37=55
Current State: 10:[99, 55], Operations: ['18+37=55']
Exploring Operation: 18*55=990, Resulting Numbers: [99, 990]
Generated Node #3: [99, 990] from Operation: 18*55=990
Current State: 10:[99, 990], Operations: ['18+37=55', '18*55=990']
Exploring Operation: 990/99=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
17,
49,
6,
24
] | 15 | [
"17+49=66",
"24+66=90",
"90/6=15"
] | Current State: 15:[17, 49, 6, 24], Operations: []
Exploring Operation: 17+49=66, Resulting Numbers: [6, 24, 66]
Generated Node #2: [6, 24, 66] from Operation: 17+49=66
Current State: 15:[6, 24, 66], Operations: ['17+49=66']
Exploring Operation: 24+66=90, Resulting Numbers: [6, 90]
Generated Node #3: [6, 90] from Operation: 24+66=90
Current State: 15:[6, 90], Operations: ['17+49=66', '24+66=90']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
91,
73,
4,
80
] | 61 | [
"91+73=164",
"80+164=244",
"244/4=61"
] | Current State: 61:[91, 73, 4, 80], Operations: []
Exploring Operation: 91+73=164, Resulting Numbers: [4, 80, 164]
Generated Node #2: [4, 80, 164] from Operation: 91+73=164
Current State: 61:[4, 80, 164], Operations: ['91+73=164']
Exploring Operation: 80+164=244, Resulting Numbers: [4, 244]
Generated Node #3: [4, 244] from Operation: 80+164=244
Current State: 61:[4, 244], Operations: ['91+73=164', '80+164=244']
Exploring Operation: 244/4=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
25,
44,
1,
3
] | 40 | [
"44+1=45",
"45/3=15",
"25+15=40"
] | Current State: 40:[25, 44, 1, 3], Operations: []
Exploring Operation: 44+1=45, Resulting Numbers: [25, 3, 45]
Generated Node #2: [25, 3, 45] from Operation: 44+1=45
Current State: 40:[25, 3, 45], Operations: ['44+1=45']
Exploring Operation: 45/3=15, Resulting Numbers: [25, 15]
Generated Node #3: [25, 15] from Operation: 45/3=15
Current State: 40:[25, 15], Operations: ['44+1=45', '45/3=15']
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
80,
14,
81,
21
] | 23 | [
"80+81=161",
"21-14=7",
"161/7=23"
] | Current State: 23:[80, 14, 81, 21], Operations: []
Exploring Operation: 80+81=161, Resulting Numbers: [14, 21, 161]
Generated Node #2: [14, 21, 161] from Operation: 80+81=161
Current State: 23:[14, 21, 161], Operations: ['80+81=161']
Exploring Operation: 21-14=7, Resulting Numbers: [161, 7]
Generated Node #3: [161, 7] from Operation: 21-14=7
Current State: 23:[161, 7], Operations: ['80+81=161', '21-14=7']
Exploring Operation: 161/7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
97,
43,
66,
19
] | 31 | [
"97-43=54",
"66+19=85",
"85-54=31"
] | Current State: 31:[97, 43, 66, 19], Operations: []
Exploring Operation: 97-43=54, Resulting Numbers: [66, 19, 54]
Generated Node #2: [66, 19, 54] from Operation: 97-43=54
Current State: 31:[66, 19, 54], Operations: ['97-43=54']
Exploring Operation: 66+19=85, Resulting Numbers: [54, 85]
Generated Node #3: [54, 85] from Operation: 66+19=85
Current State: 31:[54, 85], Operations: ['97-43=54', '66+19=85']
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
49,
59,
55,
8
] | 53 | [
"59-49=10",
"55+8=63",
"63-10=53"
] | Current State: 53:[49, 59, 55, 8], Operations: []
Exploring Operation: 59-49=10, Resulting Numbers: [55, 8, 10]
Generated Node #2: [55, 8, 10] from Operation: 59-49=10
Current State: 53:[55, 8, 10], Operations: ['59-49=10']
Exploring Operation: 55+8=63, Resulting Numbers: [10, 63]
Generated Node #3: [10, 63] from Operation: 55+8=63
Current State: 53:[10, 63], Operations: ['59-49=10', '55+8=63']
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
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