nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
50,
55,
58,
35
] | 45 | [
"50-35=15",
"58-55=3",
"15*3=45"
] | Current State: 45:[50, 55, 58, 35], Operations: []
Exploring Operation: 50-35=15, Resulting Numbers: [55, 58, 15]
Generated Node #2: [55, 58, 15] from Operation: 50-35=15
Current State: 45:[55, 58, 15], Operations: ['50-35=15']
Exploring Operation: 58-55=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 58-55=3
Current State: 45:[15, 3], Operations: ['50-35=15', '58-55=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
28,
29,
36,
43
] | 22 | [
"28+29=57",
"36+43=79",
"79-57=22"
] | Current State: 22:[28, 29, 36, 43], Operations: []
Exploring Operation: 28+29=57, Resulting Numbers: [36, 43, 57]
Generated Node #2: [36, 43, 57] from Operation: 28+29=57
Current State: 22:[36, 43, 57], Operations: ['28+29=57']
Exploring Operation: 36+43=79, Resulting Numbers: [57, 79]
Generated Node #3: [57, 79] from Operation: 36+43=79
Current State: 22:[57, 79], Operations: ['28+29=57', '36+43=79']
Exploring Operation: 79-57=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
7,
96,
40,
32
] | 17 | [
"96-7=89",
"40+32=72",
"89-72=17"
] | Current State: 17:[7, 96, 40, 32], Operations: []
Exploring Operation: 96-7=89, Resulting Numbers: [40, 32, 89]
Generated Node #2: [40, 32, 89] from Operation: 96-7=89
Current State: 17:[40, 32, 89], Operations: ['96-7=89']
Exploring Operation: 40+32=72, Resulting Numbers: [89, 72]
Generated Node #3: [89, 72] from Operation: 40+32=72
Current State: 17:[89, 72], Operations: ['96-7=89', '40+32=72']
Exploring Operation: 89-72=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
43,
68,
59,
64
] | 17 | [
"59-43=16",
"68*16=1088",
"1088/64=17"
] | Current State: 17:[43, 68, 59, 64], Operations: []
Exploring Operation: 59-43=16, Resulting Numbers: [68, 64, 16]
Generated Node #2: [68, 64, 16] from Operation: 59-43=16
Current State: 17:[68, 64, 16], Operations: ['59-43=16']
Exploring Operation: 68*16=1088, Resulting Numbers: [64, 1088]
Generated Node #3: [64, 1088] from Operation: 68*16=1088
Current State: 17:[64, 1088], Operations: ['59-43=16', '68*16=1088']
Exploring Operation: 1088/64=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
9,
5,
85,
99
] | 81 | [
"5+85=90",
"99-90=9",
"9*9=81"
] | Current State: 81:[9, 5, 85, 99], Operations: []
Exploring Operation: 5+85=90, Resulting Numbers: [9, 99, 90]
Generated Node #2: [9, 99, 90] from Operation: 5+85=90
Current State: 81:[9, 99, 90], Operations: ['5+85=90']
Exploring Operation: 99-90=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 99-90=9
Current State: 81:[9, 9], Operations: ['5+85=90', '99-90=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
6,
57,
42,
98
] | 97 | [
"6*42=252",
"57+98=155",
"252-155=97"
] | Current State: 97:[6, 57, 42, 98], Operations: []
Exploring Operation: 6*42=252, Resulting Numbers: [57, 98, 252]
Generated Node #2: [57, 98, 252] from Operation: 6*42=252
Current State: 97:[57, 98, 252], Operations: ['6*42=252']
Exploring Operation: 57+98=155, Resulting Numbers: [252, 155]
Generated Node #3: [252, 155] from Operation: 57+98=155
Current State: 97:[252, 155], Operations: ['6*42=252', '57+98=155']
Exploring Operation: 252-155=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
11,
4,
30,
70
] | 14 | [
"30+70=100",
"100/4=25",
"25-11=14"
] | Current State: 14:[11, 4, 30, 70], Operations: []
Exploring Operation: 30+70=100, Resulting Numbers: [11, 4, 100]
Generated Node #2: [11, 4, 100] from Operation: 30+70=100
Current State: 14:[11, 4, 100], Operations: ['30+70=100']
Exploring Operation: 100/4=25, Resulting Numbers: [11, 25]
Generated Node #3: [11, 25] from Operation: 100/4=25
Current State: 14:[11, 25], Operations: ['30+70=100', '100/4=25']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
55,
13,
32,
70
] | 64 | [
"55+13=68",
"70-68=2",
"32*2=64"
] | Current State: 64:[55, 13, 32, 70], Operations: []
Exploring Operation: 55+13=68, Resulting Numbers: [32, 70, 68]
Generated Node #2: [32, 70, 68] from Operation: 55+13=68
Current State: 64:[32, 70, 68], Operations: ['55+13=68']
Exploring Operation: 70-68=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 70-68=2
Current State: 64:[32, 2], Operations: ['55+13=68', '70-68=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
13,
22,
82,
2
] | 89 | [
"22-13=9",
"82-2=80",
"9+80=89"
] | Current State: 89:[13, 22, 82, 2], Operations: []
Exploring Operation: 22-13=9, Resulting Numbers: [82, 2, 9]
Generated Node #2: [82, 2, 9] from Operation: 22-13=9
Current State: 89:[82, 2, 9], Operations: ['22-13=9']
Exploring Operation: 82-2=80, Resulting Numbers: [9, 80]
Generated Node #3: [9, 80] from Operation: 82-2=80
Current State: 89:[9, 80], Operations: ['22-13=9', '82-2=80']
Exploring Operation: 9+80=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
15,
10,
43,
55
] | 93 | [
"15-10=5",
"43+55=98",
"98-5=93"
] | Current State: 93:[15, 10, 43, 55], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [43, 55, 5]
Generated Node #2: [43, 55, 5] from Operation: 15-10=5
Current State: 93:[43, 55, 5], Operations: ['15-10=5']
Exploring Operation: 43+55=98, Resulting Numbers: [5, 98]
Generated Node #3: [5, 98] from Operation: 43+55=98
Current State: 93:[5, 98], Operations: ['15-10=5', '43+55=98']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
19,
3,
72,
88
] | 18 | [
"19+3=22",
"72*22=1584",
"1584/88=18"
] | Current State: 18:[19, 3, 72, 88], Operations: []
Exploring Operation: 19+3=22, Resulting Numbers: [72, 88, 22]
Generated Node #2: [72, 88, 22] from Operation: 19+3=22
Current State: 18:[72, 88, 22], Operations: ['19+3=22']
Exploring Operation: 72*22=1584, Resulting Numbers: [88, 1584]
Generated Node #3: [88, 1584] from Operation: 72*22=1584
Current State: 18:[88, 1584], Operations: ['19+3=22', '72*22=1584']
Exploring Operation: 1584/88=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
36,
39,
20,
10
] | 70 | [
"39-36=3",
"20*3=60",
"10+60=70"
] | Current State: 70:[36, 39, 20, 10], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [20, 10, 3]
Generated Node #2: [20, 10, 3] from Operation: 39-36=3
Current State: 70:[20, 10, 3], Operations: ['39-36=3']
Exploring Operation: 20*3=60, Resulting Numbers: [10, 60]
Generated Node #3: [10, 60] from Operation: 20*3=60
Current State: 70:[10, 60], Operations: ['39-36=3', '20*3=60']
Exploring Operation: 10+60=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
30,
56,
50,
72
] | 17 | [
"30+72=102",
"56-50=6",
"102/6=17"
] | Current State: 17:[30, 56, 50, 72], Operations: []
Exploring Operation: 30+72=102, Resulting Numbers: [56, 50, 102]
Generated Node #2: [56, 50, 102] from Operation: 30+72=102
Current State: 17:[56, 50, 102], Operations: ['30+72=102']
Exploring Operation: 56-50=6, Resulting Numbers: [102, 6]
Generated Node #3: [102, 6] from Operation: 56-50=6
Current State: 17:[102, 6], Operations: ['30+72=102', '56-50=6']
Exploring Operation: 102/6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
31,
68,
58,
41
] | 100 | [
"41-31=10",
"68-58=10",
"10*10=100"
] | Current State: 100:[31, 68, 58, 41], Operations: []
Exploring Operation: 41-31=10, Resulting Numbers: [68, 58, 10]
Generated Node #2: [68, 58, 10] from Operation: 41-31=10
Current State: 100:[68, 58, 10], Operations: ['41-31=10']
Exploring Operation: 68-58=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 68-58=10
Current State: 100:[10, 10], Operations: ['41-31=10', '68-58=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
2,
53,
81,
22
] | 19 | [
"53-22=31",
"2*31=62",
"81-62=19"
] | Current State: 19:[2, 53, 81, 22], Operations: []
Exploring Operation: 53-22=31, Resulting Numbers: [2, 81, 31]
Generated Node #2: [2, 81, 31] from Operation: 53-22=31
Current State: 19:[2, 81, 31], Operations: ['53-22=31']
Exploring Operation: 2*31=62, Resulting Numbers: [81, 62]
Generated Node #3: [81, 62] from Operation: 2*31=62
Current State: 19:[81, 62], Operations: ['53-22=31', '2*31=62']
Exploring Operation: 81-62=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
95,
7,
34,
22
] | 100 | [
"95-7=88",
"34-22=12",
"88+12=100"
] | Current State: 100:[95, 7, 34, 22], Operations: []
Exploring Operation: 95-7=88, Resulting Numbers: [34, 22, 88]
Generated Node #2: [34, 22, 88] from Operation: 95-7=88
Current State: 100:[34, 22, 88], Operations: ['95-7=88']
Exploring Operation: 34-22=12, Resulting Numbers: [88, 12]
Generated Node #3: [88, 12] from Operation: 34-22=12
Current State: 100:[88, 12], Operations: ['95-7=88', '34-22=12']
Exploring Operation: 88+12=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
24,
4,
73,
14
] | 71 | [
"24+4=28",
"28/14=2",
"73-2=71"
] | Current State: 71:[24, 4, 73, 14], Operations: []
Exploring Operation: 24+4=28, Resulting Numbers: [73, 14, 28]
Generated Node #2: [73, 14, 28] from Operation: 24+4=28
Current State: 71:[73, 14, 28], Operations: ['24+4=28']
Exploring Operation: 28/14=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 28/14=2
Current State: 71:[73, 2], Operations: ['24+4=28', '28/14=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
2,
99,
60,
85
] | 76 | [
"2+99=101",
"85-60=25",
"101-25=76"
] | Current State: 76:[2, 99, 60, 85], Operations: []
Exploring Operation: 2+99=101, Resulting Numbers: [60, 85, 101]
Generated Node #2: [60, 85, 101] from Operation: 2+99=101
Current State: 76:[60, 85, 101], Operations: ['2+99=101']
Exploring Operation: 85-60=25, Resulting Numbers: [101, 25]
Generated Node #3: [101, 25] from Operation: 85-60=25
Current State: 76:[101, 25], Operations: ['2+99=101', '85-60=25']
Exploring Operation: 101-25=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
63,
21,
18,
76
] | 97 | [
"63/21=3",
"18+76=94",
"3+94=97"
] | Current State: 97:[63, 21, 18, 76], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [18, 76, 3]
Generated Node #2: [18, 76, 3] from Operation: 63/21=3
Current State: 97:[18, 76, 3], Operations: ['63/21=3']
Exploring Operation: 18+76=94, Resulting Numbers: [3, 94]
Generated Node #3: [3, 94] from Operation: 18+76=94
Current State: 97:[3, 94], Operations: ['63/21=3', '18+76=94']
Exploring Operation: 3+94=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
73,
76,
37,
2
] | 93 | [
"73+76=149",
"37+149=186",
"186/2=93"
] | Current State: 93:[73, 76, 37, 2], Operations: []
Exploring Operation: 73+76=149, Resulting Numbers: [37, 2, 149]
Generated Node #2: [37, 2, 149] from Operation: 73+76=149
Current State: 93:[37, 2, 149], Operations: ['73+76=149']
Exploring Operation: 37+149=186, Resulting Numbers: [2, 186]
Generated Node #3: [2, 186] from Operation: 37+149=186
Current State: 93:[2, 186], Operations: ['73+76=149', '37+149=186']
Exploring Operation: 186/2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
41,
17,
36,
48
] | 34 | [
"41-17=24",
"48/24=2",
"36-2=34"
] | Current State: 34:[41, 17, 36, 48], Operations: []
Exploring Operation: 41-17=24, Resulting Numbers: [36, 48, 24]
Generated Node #2: [36, 48, 24] from Operation: 41-17=24
Current State: 34:[36, 48, 24], Operations: ['41-17=24']
Exploring Operation: 48/24=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 48/24=2
Current State: 34:[36, 2], Operations: ['41-17=24', '48/24=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
6,
4,
76,
95
] | 82 | [
"6+95=101",
"76/4=19",
"101-19=82"
] | Current State: 82:[6, 4, 76, 95], Operations: []
Exploring Operation: 6+95=101, Resulting Numbers: [4, 76, 101]
Generated Node #2: [4, 76, 101] from Operation: 6+95=101
Current State: 82:[4, 76, 101], Operations: ['6+95=101']
Exploring Operation: 76/4=19, Resulting Numbers: [101, 19]
Generated Node #3: [101, 19] from Operation: 76/4=19
Current State: 82:[101, 19], Operations: ['6+95=101', '76/4=19']
Exploring Operation: 101-19=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
88,
85,
32,
93
] | 92 | [
"93-85=8",
"32/8=4",
"88+4=92"
] | Current State: 92:[88, 85, 32, 93], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [88, 32, 8]
Generated Node #2: [88, 32, 8] from Operation: 93-85=8
Current State: 92:[88, 32, 8], Operations: ['93-85=8']
Exploring Operation: 32/8=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 32/8=4
Current State: 92:[88, 4], Operations: ['93-85=8', '32/8=4']
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
70,
21,
61,
21
] | 89 | [
"70-21=49",
"61-21=40",
"49+40=89"
] | Current State: 89:[70, 21, 61, 21], Operations: []
Exploring Operation: 70-21=49, Resulting Numbers: [61, 49]
Generated Node #2: [61, 49] from Operation: 70-21=49
Current State: 89:[61, 49], Operations: ['70-21=49']
Exploring Operation: 61-21=40, Resulting Numbers: [49, 40]
Generated Node #3: [49, 40] from Operation: 61-21=40
Current State: 89:[49, 40], Operations: ['70-21=49', '61-21=40']
Exploring Operation: 49+40=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
16,
34,
64,
26
] | 70 | [
"64/16=4",
"26*4=104",
"104-34=70"
] | Current State: 70:[16, 34, 64, 26], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [34, 26, 4]
Generated Node #2: [34, 26, 4] from Operation: 64/16=4
Current State: 70:[34, 26, 4], Operations: ['64/16=4']
Exploring Operation: 26*4=104, Resulting Numbers: [34, 104]
Generated Node #3: [34, 104] from Operation: 26*4=104
Current State: 70:[34, 104], Operations: ['64/16=4', '26*4=104']
Exploring Operation: 104-34=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
33,
44,
60,
18
] | 98 | [
"44*60=2640",
"2640/33=80",
"18+80=98"
] | Current State: 98:[33, 44, 60, 18], Operations: []
Exploring Operation: 44*60=2640, Resulting Numbers: [33, 18, 2640]
Generated Node #2: [33, 18, 2640] from Operation: 44*60=2640
Current State: 98:[33, 18, 2640], Operations: ['44*60=2640']
Exploring Operation: 2640/33=80, Resulting Numbers: [18, 80]
Generated Node #3: [18, 80] from Operation: 2640/33=80
Current State: 98:[18, 80], Operations: ['44*60=2640', '2640/33=80']
Exploring Operation: 18+80=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
33,
62,
55,
29
] | 28 | [
"33-29=4",
"62-55=7",
"4*7=28"
] | Current State: 28:[33, 62, 55, 29], Operations: []
Exploring Operation: 33-29=4, Resulting Numbers: [62, 55, 4]
Generated Node #2: [62, 55, 4] from Operation: 33-29=4
Current State: 28:[62, 55, 4], Operations: ['33-29=4']
Exploring Operation: 62-55=7, Resulting Numbers: [4, 7]
Generated Node #3: [4, 7] from Operation: 62-55=7
Current State: 28:[4, 7], Operations: ['33-29=4', '62-55=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
22,
14,
55,
23
] | 70 | [
"22-14=8",
"55+23=78",
"78-8=70"
] | Current State: 70:[22, 14, 55, 23], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [55, 23, 8]
Generated Node #2: [55, 23, 8] from Operation: 22-14=8
Current State: 70:[55, 23, 8], Operations: ['22-14=8']
Exploring Operation: 55+23=78, Resulting Numbers: [8, 78]
Generated Node #3: [8, 78] from Operation: 55+23=78
Current State: 70:[8, 78], Operations: ['22-14=8', '55+23=78']
Exploring Operation: 78-8=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
10,
11,
25,
39
] | 43 | [
"10+11=21",
"25+39=64",
"64-21=43"
] | Current State: 43:[10, 11, 25, 39], Operations: []
Exploring Operation: 10+11=21, Resulting Numbers: [25, 39, 21]
Generated Node #2: [25, 39, 21] from Operation: 10+11=21
Current State: 43:[25, 39, 21], Operations: ['10+11=21']
Exploring Operation: 25+39=64, Resulting Numbers: [21, 64]
Generated Node #3: [21, 64] from Operation: 25+39=64
Current State: 43:[21, 64], Operations: ['10+11=21', '25+39=64']
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
62,
60,
43,
63
] | 36 | [
"62+43=105",
"60*63=3780",
"3780/105=36"
] | Current State: 36:[62, 60, 43, 63], Operations: []
Exploring Operation: 62+43=105, Resulting Numbers: [60, 63, 105]
Generated Node #2: [60, 63, 105] from Operation: 62+43=105
Current State: 36:[60, 63, 105], Operations: ['62+43=105']
Exploring Operation: 60*63=3780, Resulting Numbers: [105, 3780]
Generated Node #3: [105, 3780] from Operation: 60*63=3780
Current State: 36:[105, 3780], Operations: ['62+43=105', '60*63=3780']
Exploring Operation: 3780/105=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
57,
37,
34,
67
] | 30 | [
"67-57=10",
"37-34=3",
"10*3=30"
] | Current State: 30:[57, 37, 34, 67], Operations: []
Exploring Operation: 67-57=10, Resulting Numbers: [37, 34, 10]
Generated Node #2: [37, 34, 10] from Operation: 67-57=10
Current State: 30:[37, 34, 10], Operations: ['67-57=10']
Exploring Operation: 37-34=3, Resulting Numbers: [10, 3]
Generated Node #3: [10, 3] from Operation: 37-34=3
Current State: 30:[10, 3], Operations: ['67-57=10', '37-34=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
99,
51,
26,
12
] | 30 | [
"99-51=48",
"48/12=4",
"26+4=30"
] | Current State: 30:[99, 51, 26, 12], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [26, 12, 48]
Generated Node #2: [26, 12, 48] from Operation: 99-51=48
Current State: 30:[26, 12, 48], Operations: ['99-51=48']
Exploring Operation: 48/12=4, Resulting Numbers: [26, 4]
Generated Node #3: [26, 4] from Operation: 48/12=4
Current State: 30:[26, 4], Operations: ['99-51=48', '48/12=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
69,
15,
43,
52
] | 63 | [
"69-15=54",
"52-43=9",
"54+9=63"
] | Current State: 63:[69, 15, 43, 52], Operations: []
Exploring Operation: 69-15=54, Resulting Numbers: [43, 52, 54]
Generated Node #2: [43, 52, 54] from Operation: 69-15=54
Current State: 63:[43, 52, 54], Operations: ['69-15=54']
Exploring Operation: 52-43=9, Resulting Numbers: [54, 9]
Generated Node #3: [54, 9] from Operation: 52-43=9
Current State: 63:[54, 9], Operations: ['69-15=54', '52-43=9']
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
40,
55,
95,
38
] | 37 | [
"40+55=95",
"95/95=1",
"38-1=37"
] | Current State: 37:[40, 55, 95, 38], Operations: []
Exploring Operation: 40+55=95, Resulting Numbers: [95, 38, 95]
Generated Node #2: [95, 38, 95] from Operation: 40+55=95
Current State: 37:[95, 38, 95], Operations: ['40+55=95']
Exploring Operation: 95/95=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 95/95=1
Current State: 37:[38, 1], Operations: ['40+55=95', '95/95=1']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
67,
67,
91,
92
] | 92 | [
"67-67=0",
"91*0=0",
"92+0=92"
] | Current State: 92:[67, 67, 91, 92], Operations: []
Exploring Operation: 67-67=0, Resulting Numbers: [91, 92, 0]
Generated Node #2: [91, 92, 0] from Operation: 67-67=0
Current State: 92:[91, 92, 0], Operations: ['67-67=0']
Exploring Operation: 91*0=0, Resulting Numbers: [92, 0]
Generated Node #3: [92, 0] from Operation: 91*0=0
Current State: 92:[92, 0], Operations: ['67-67=0', '91*0=0']
Exploring Operation: 92+0=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
54,
61,
33,
62
] | 36 | [
"61-54=7",
"62-33=29",
"7+29=36"
] | Current State: 36:[54, 61, 33, 62], Operations: []
Exploring Operation: 61-54=7, Resulting Numbers: [33, 62, 7]
Generated Node #2: [33, 62, 7] from Operation: 61-54=7
Current State: 36:[33, 62, 7], Operations: ['61-54=7']
Exploring Operation: 62-33=29, Resulting Numbers: [7, 29]
Generated Node #3: [7, 29] from Operation: 62-33=29
Current State: 36:[7, 29], Operations: ['61-54=7', '62-33=29']
Exploring Operation: 7+29=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
38,
75,
31,
44
] | 37 | [
"75-31=44",
"44/44=1",
"38-1=37"
] | Current State: 37:[38, 75, 31, 44], Operations: []
Exploring Operation: 75-31=44, Resulting Numbers: [38, 44, 44]
Generated Node #2: [38, 44, 44] from Operation: 75-31=44
Current State: 37:[38, 44, 44], Operations: ['75-31=44']
Exploring Operation: 44/44=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 44/44=1
Current State: 37:[38, 1], Operations: ['75-31=44', '44/44=1']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
64,
82,
44,
12
] | 41 | [
"44-12=32",
"64/32=2",
"82/2=41"
] | Current State: 41:[64, 82, 44, 12], Operations: []
Exploring Operation: 44-12=32, Resulting Numbers: [64, 82, 32]
Generated Node #2: [64, 82, 32] from Operation: 44-12=32
Current State: 41:[64, 82, 32], Operations: ['44-12=32']
Exploring Operation: 64/32=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 64/32=2
Current State: 41:[82, 2], Operations: ['44-12=32', '64/32=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
76,
71,
54,
27
] | 32 | [
"76-71=5",
"54-27=27",
"5+27=32"
] | Current State: 32:[76, 71, 54, 27], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [54, 27, 5]
Generated Node #2: [54, 27, 5] from Operation: 76-71=5
Current State: 32:[54, 27, 5], Operations: ['76-71=5']
Exploring Operation: 54-27=27, Resulting Numbers: [5, 27]
Generated Node #3: [5, 27] from Operation: 54-27=27
Current State: 32:[5, 27], Operations: ['76-71=5', '54-27=27']
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
48,
18,
22,
84
] | 81 | [
"48+18=66",
"66/22=3",
"84-3=81"
] | Current State: 81:[48, 18, 22, 84], Operations: []
Exploring Operation: 48+18=66, Resulting Numbers: [22, 84, 66]
Generated Node #2: [22, 84, 66] from Operation: 48+18=66
Current State: 81:[22, 84, 66], Operations: ['48+18=66']
Exploring Operation: 66/22=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 66/22=3
Current State: 81:[84, 3], Operations: ['48+18=66', '66/22=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
23,
98,
63,
50
] | 38 | [
"98-23=75",
"63+50=113",
"113-75=38"
] | Current State: 38:[23, 98, 63, 50], Operations: []
Exploring Operation: 98-23=75, Resulting Numbers: [63, 50, 75]
Generated Node #2: [63, 50, 75] from Operation: 98-23=75
Current State: 38:[63, 50, 75], Operations: ['98-23=75']
Exploring Operation: 63+50=113, Resulting Numbers: [75, 113]
Generated Node #3: [75, 113] from Operation: 63+50=113
Current State: 38:[75, 113], Operations: ['98-23=75', '63+50=113']
Exploring Operation: 113-75=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
13,
77,
79,
52
] | 41 | [
"13+77=90",
"79+52=131",
"131-90=41"
] | Current State: 41:[13, 77, 79, 52], Operations: []
Exploring Operation: 13+77=90, Resulting Numbers: [79, 52, 90]
Generated Node #2: [79, 52, 90] from Operation: 13+77=90
Current State: 41:[79, 52, 90], Operations: ['13+77=90']
Exploring Operation: 79+52=131, Resulting Numbers: [90, 131]
Generated Node #3: [90, 131] from Operation: 79+52=131
Current State: 41:[90, 131], Operations: ['13+77=90', '79+52=131']
Exploring Operation: 131-90=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
98,
63,
5,
12
] | 77 | [
"12-5=7",
"98/7=14",
"63+14=77"
] | Current State: 77:[98, 63, 5, 12], Operations: []
Exploring Operation: 12-5=7, Resulting Numbers: [98, 63, 7]
Generated Node #2: [98, 63, 7] from Operation: 12-5=7
Current State: 77:[98, 63, 7], Operations: ['12-5=7']
Exploring Operation: 98/7=14, Resulting Numbers: [63, 14]
Generated Node #3: [63, 14] from Operation: 98/7=14
Current State: 77:[63, 14], Operations: ['12-5=7', '98/7=14']
Exploring Operation: 63+14=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
39,
49,
26,
87
] | 27 | [
"39+49=88",
"87-26=61",
"88-61=27"
] | Current State: 27:[39, 49, 26, 87], Operations: []
Exploring Operation: 39+49=88, Resulting Numbers: [26, 87, 88]
Generated Node #2: [26, 87, 88] from Operation: 39+49=88
Current State: 27:[26, 87, 88], Operations: ['39+49=88']
Exploring Operation: 87-26=61, Resulting Numbers: [88, 61]
Generated Node #3: [88, 61] from Operation: 87-26=61
Current State: 27:[88, 61], Operations: ['39+49=88', '87-26=61']
Exploring Operation: 88-61=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
4,
82,
32,
33
] | 18 | [
"4*33=132",
"82+32=114",
"132-114=18"
] | Current State: 18:[4, 82, 32, 33], Operations: []
Exploring Operation: 4*33=132, Resulting Numbers: [82, 32, 132]
Generated Node #2: [82, 32, 132] from Operation: 4*33=132
Current State: 18:[82, 32, 132], Operations: ['4*33=132']
Exploring Operation: 82+32=114, Resulting Numbers: [132, 114]
Generated Node #3: [132, 114] from Operation: 82+32=114
Current State: 18:[132, 114], Operations: ['4*33=132', '82+32=114']
Exploring Operation: 132-114=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
9,
81,
45,
75
] | 50 | [
"9+45=54",
"75*54=4050",
"4050/81=50"
] | Current State: 50:[9, 81, 45, 75], Operations: []
Exploring Operation: 9+45=54, Resulting Numbers: [81, 75, 54]
Generated Node #2: [81, 75, 54] from Operation: 9+45=54
Current State: 50:[81, 75, 54], Operations: ['9+45=54']
Exploring Operation: 75*54=4050, Resulting Numbers: [81, 4050]
Generated Node #3: [81, 4050] from Operation: 75*54=4050
Current State: 50:[81, 4050], Operations: ['9+45=54', '75*54=4050']
Exploring Operation: 4050/81=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
1,
27,
17,
42
] | 53 | [
"1+27=28",
"42-17=25",
"28+25=53"
] | Current State: 53:[1, 27, 17, 42], Operations: []
Exploring Operation: 1+27=28, Resulting Numbers: [17, 42, 28]
Generated Node #2: [17, 42, 28] from Operation: 1+27=28
Current State: 53:[17, 42, 28], Operations: ['1+27=28']
Exploring Operation: 42-17=25, Resulting Numbers: [28, 25]
Generated Node #3: [28, 25] from Operation: 42-17=25
Current State: 53:[28, 25], Operations: ['1+27=28', '42-17=25']
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
93,
70,
10,
1
] | 85 | [
"93-1=92",
"70/10=7",
"92-7=85"
] | Current State: 85:[93, 70, 10, 1], Operations: []
Exploring Operation: 93-1=92, Resulting Numbers: [70, 10, 92]
Generated Node #2: [70, 10, 92] from Operation: 93-1=92
Current State: 85:[70, 10, 92], Operations: ['93-1=92']
Exploring Operation: 70/10=7, Resulting Numbers: [92, 7]
Generated Node #3: [92, 7] from Operation: 70/10=7
Current State: 85:[92, 7], Operations: ['93-1=92', '70/10=7']
Exploring Operation: 92-7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
20,
25,
14,
86
] | 95 | [
"25-20=5",
"14+86=100",
"100-5=95"
] | Current State: 95:[20, 25, 14, 86], Operations: []
Exploring Operation: 25-20=5, Resulting Numbers: [14, 86, 5]
Generated Node #2: [14, 86, 5] from Operation: 25-20=5
Current State: 95:[14, 86, 5], Operations: ['25-20=5']
Exploring Operation: 14+86=100, Resulting Numbers: [5, 100]
Generated Node #3: [5, 100] from Operation: 14+86=100
Current State: 95:[5, 100], Operations: ['25-20=5', '14+86=100']
Exploring Operation: 100-5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
36,
10,
51
] | 45 | [
"6*10=60",
"51-36=15",
"60-15=45"
] | Current State: 45:[6, 36, 10, 51], Operations: []
Exploring Operation: 6*10=60, Resulting Numbers: [36, 51, 60]
Generated Node #2: [36, 51, 60] from Operation: 6*10=60
Current State: 45:[36, 51, 60], Operations: ['6*10=60']
Exploring Operation: 51-36=15, Resulting Numbers: [60, 15]
Generated Node #3: [60, 15] from Operation: 51-36=15
Current State: 45:[60, 15], Operations: ['6*10=60', '51-36=15']
Exploring Operation: 60-15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
20,
5,
26,
2
] | 13 | [
"20-5=15",
"26+2=28",
"28-15=13"
] | Current State: 13:[20, 5, 26, 2], Operations: []
Exploring Operation: 20-5=15, Resulting Numbers: [26, 2, 15]
Generated Node #2: [26, 2, 15] from Operation: 20-5=15
Current State: 13:[26, 2, 15], Operations: ['20-5=15']
Exploring Operation: 26+2=28, Resulting Numbers: [15, 28]
Generated Node #3: [15, 28] from Operation: 26+2=28
Current State: 13:[15, 28], Operations: ['20-5=15', '26+2=28']
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
4,
93,
3,
13
] | 80 | [
"4-3=1",
"93-13=80",
"1*80=80"
] | Current State: 80:[4, 93, 3, 13], Operations: []
Exploring Operation: 4-3=1, Resulting Numbers: [93, 13, 1]
Generated Node #2: [93, 13, 1] from Operation: 4-3=1
Current State: 80:[93, 13, 1], Operations: ['4-3=1']
Exploring Operation: 93-13=80, Resulting Numbers: [1, 80]
Generated Node #3: [1, 80] from Operation: 93-13=80
Current State: 80:[1, 80], Operations: ['4-3=1', '93-13=80']
Exploring Operation: 1*80=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
74,
14,
89,
43
] | 42 | [
"74+14=88",
"89-43=46",
"88-46=42"
] | Current State: 42:[74, 14, 89, 43], Operations: []
Exploring Operation: 74+14=88, Resulting Numbers: [89, 43, 88]
Generated Node #2: [89, 43, 88] from Operation: 74+14=88
Current State: 42:[89, 43, 88], Operations: ['74+14=88']
Exploring Operation: 89-43=46, Resulting Numbers: [88, 46]
Generated Node #3: [88, 46] from Operation: 89-43=46
Current State: 42:[88, 46], Operations: ['74+14=88', '89-43=46']
Exploring Operation: 88-46=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
32,
55,
12,
88
] | 88 | [
"88-55=33",
"32*33=1056",
"1056/12=88"
] | Current State: 88:[32, 55, 12, 88], Operations: []
Exploring Operation: 88-55=33, Resulting Numbers: [32, 12, 33]
Generated Node #2: [32, 12, 33] from Operation: 88-55=33
Current State: 88:[32, 12, 33], Operations: ['88-55=33']
Exploring Operation: 32*33=1056, Resulting Numbers: [12, 1056]
Generated Node #3: [12, 1056] from Operation: 32*33=1056
Current State: 88:[12, 1056], Operations: ['88-55=33', '32*33=1056']
Exploring Operation: 1056/12=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
4,
25,
49,
96
] | 76 | [
"4+25=29",
"96-49=47",
"29+47=76"
] | Current State: 76:[4, 25, 49, 96], Operations: []
Exploring Operation: 4+25=29, Resulting Numbers: [49, 96, 29]
Generated Node #2: [49, 96, 29] from Operation: 4+25=29
Current State: 76:[49, 96, 29], Operations: ['4+25=29']
Exploring Operation: 96-49=47, Resulting Numbers: [29, 47]
Generated Node #3: [29, 47] from Operation: 96-49=47
Current State: 76:[29, 47], Operations: ['4+25=29', '96-49=47']
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
98,
8,
90,
92
] | 82 | [
"92-90=2",
"8*2=16",
"98-16=82"
] | Current State: 82:[98, 8, 90, 92], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [98, 8, 2]
Generated Node #2: [98, 8, 2] from Operation: 92-90=2
Current State: 82:[98, 8, 2], Operations: ['92-90=2']
Exploring Operation: 8*2=16, Resulting Numbers: [98, 16]
Generated Node #3: [98, 16] from Operation: 8*2=16
Current State: 82:[98, 16], Operations: ['92-90=2', '8*2=16']
Exploring Operation: 98-16=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
33,
78,
85,
96
] | 64 | [
"85-33=52",
"96*52=4992",
"4992/78=64"
] | Current State: 64:[33, 78, 85, 96], Operations: []
Exploring Operation: 85-33=52, Resulting Numbers: [78, 96, 52]
Generated Node #2: [78, 96, 52] from Operation: 85-33=52
Current State: 64:[78, 96, 52], Operations: ['85-33=52']
Exploring Operation: 96*52=4992, Resulting Numbers: [78, 4992]
Generated Node #3: [78, 4992] from Operation: 96*52=4992
Current State: 64:[78, 4992], Operations: ['85-33=52', '96*52=4992']
Exploring Operation: 4992/78=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
74,
38,
98,
19
] | 81 | [
"74-38=36",
"98+19=117",
"117-36=81"
] | Current State: 81:[74, 38, 98, 19], Operations: []
Exploring Operation: 74-38=36, Resulting Numbers: [98, 19, 36]
Generated Node #2: [98, 19, 36] from Operation: 74-38=36
Current State: 81:[98, 19, 36], Operations: ['74-38=36']
Exploring Operation: 98+19=117, Resulting Numbers: [36, 117]
Generated Node #3: [36, 117] from Operation: 98+19=117
Current State: 81:[36, 117], Operations: ['74-38=36', '98+19=117']
Exploring Operation: 117-36=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
79,
33,
11,
25
] | 60 | [
"79-33=46",
"25-11=14",
"46+14=60"
] | Current State: 60:[79, 33, 11, 25], Operations: []
Exploring Operation: 79-33=46, Resulting Numbers: [11, 25, 46]
Generated Node #2: [11, 25, 46] from Operation: 79-33=46
Current State: 60:[11, 25, 46], Operations: ['79-33=46']
Exploring Operation: 25-11=14, Resulting Numbers: [46, 14]
Generated Node #3: [46, 14] from Operation: 25-11=14
Current State: 60:[46, 14], Operations: ['79-33=46', '25-11=14']
Exploring Operation: 46+14=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
9,
43,
7,
88
] | 18 | [
"9*7=63",
"88-43=45",
"63-45=18"
] | Current State: 18:[9, 43, 7, 88], Operations: []
Exploring Operation: 9*7=63, Resulting Numbers: [43, 88, 63]
Generated Node #2: [43, 88, 63] from Operation: 9*7=63
Current State: 18:[43, 88, 63], Operations: ['9*7=63']
Exploring Operation: 88-43=45, Resulting Numbers: [63, 45]
Generated Node #3: [63, 45] from Operation: 88-43=45
Current State: 18:[63, 45], Operations: ['9*7=63', '88-43=45']
Exploring Operation: 63-45=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
3,
1,
4,
33
] | 49 | [
"3+1=4",
"4*4=16",
"33+16=49"
] | Current State: 49:[3, 1, 4, 33], Operations: []
Exploring Operation: 3+1=4, Resulting Numbers: [4, 33, 4]
Generated Node #2: [4, 33, 4] from Operation: 3+1=4
Current State: 49:[4, 33, 4], Operations: ['3+1=4']
Exploring Operation: 4*4=16, Resulting Numbers: [33, 16]
Generated Node #3: [33, 16] from Operation: 4*4=16
Current State: 49:[33, 16], Operations: ['3+1=4', '4*4=16']
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
4,
64,
4,
61
] | 77 | [
"4*61=244",
"64+244=308",
"308/4=77"
] | Current State: 77:[4, 64, 4, 61], Operations: []
Exploring Operation: 4*61=244, Resulting Numbers: [64, 244]
Generated Node #2: [64, 244] from Operation: 4*61=244
Current State: 77:[64, 244], Operations: ['4*61=244']
Exploring Operation: 64+244=308, Resulting Numbers: [308]
308,77 equal: Goal Reached
Exploring Operation: 308/4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
49,
15,
7,
90
] | 13 | [
"49/7=7",
"90/15=6",
"7+6=13"
] | Current State: 13:[49, 15, 7, 90], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [15, 90, 7]
Generated Node #2: [15, 90, 7] from Operation: 49/7=7
Current State: 13:[15, 90, 7], Operations: ['49/7=7']
Exploring Operation: 90/15=6, Resulting Numbers: [7, 6]
Generated Node #3: [7, 6] from Operation: 90/15=6
Current State: 13:[7, 6], Operations: ['49/7=7', '90/15=6']
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
50,
25,
7,
6
] | 58 | [
"25-7=18",
"6*18=108",
"108-50=58"
] | Current State: 58:[50, 25, 7, 6], Operations: []
Exploring Operation: 25-7=18, Resulting Numbers: [50, 6, 18]
Generated Node #2: [50, 6, 18] from Operation: 25-7=18
Current State: 58:[50, 6, 18], Operations: ['25-7=18']
Exploring Operation: 6*18=108, Resulting Numbers: [50, 108]
Generated Node #3: [50, 108] from Operation: 6*18=108
Current State: 58:[50, 108], Operations: ['25-7=18', '6*18=108']
Exploring Operation: 108-50=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
10,
37,
23,
55
] | 31 | [
"10+37=47",
"23+55=78",
"78-47=31"
] | Current State: 31:[10, 37, 23, 55], Operations: []
Exploring Operation: 10+37=47, Resulting Numbers: [23, 55, 47]
Generated Node #2: [23, 55, 47] from Operation: 10+37=47
Current State: 31:[23, 55, 47], Operations: ['10+37=47']
Exploring Operation: 23+55=78, Resulting Numbers: [47, 78]
Generated Node #3: [47, 78] from Operation: 23+55=78
Current State: 31:[47, 78], Operations: ['10+37=47', '23+55=78']
Exploring Operation: 78-47=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
17,
18,
72,
89
] | 18 | [
"17+18=35",
"89-72=17",
"35-17=18"
] | Current State: 18:[17, 18, 72, 89], Operations: []
Exploring Operation: 17+18=35, Resulting Numbers: [72, 89, 35]
Generated Node #2: [72, 89, 35] from Operation: 17+18=35
Current State: 18:[72, 89, 35], Operations: ['17+18=35']
Exploring Operation: 89-72=17, Resulting Numbers: [35, 17]
Generated Node #3: [35, 17] from Operation: 89-72=17
Current State: 18:[35, 17], Operations: ['17+18=35', '89-72=17']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
72,
10,
2,
66
] | 72 | [
"72-66=6",
"10+2=12",
"6*12=72"
] | Current State: 72:[72, 10, 2, 66], Operations: []
Exploring Operation: 72-66=6, Resulting Numbers: [10, 2, 6]
Generated Node #2: [10, 2, 6] from Operation: 72-66=6
Current State: 72:[10, 2, 6], Operations: ['72-66=6']
Exploring Operation: 10+2=12, Resulting Numbers: [6, 12]
Generated Node #3: [6, 12] from Operation: 10+2=12
Current State: 72:[6, 12], Operations: ['72-66=6', '10+2=12']
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
29,
18,
70,
5
] | 64 | [
"29-18=11",
"70+5=75",
"75-11=64"
] | Current State: 64:[29, 18, 70, 5], Operations: []
Exploring Operation: 29-18=11, Resulting Numbers: [70, 5, 11]
Generated Node #2: [70, 5, 11] from Operation: 29-18=11
Current State: 64:[70, 5, 11], Operations: ['29-18=11']
Exploring Operation: 70+5=75, Resulting Numbers: [11, 75]
Generated Node #3: [11, 75] from Operation: 70+5=75
Current State: 64:[11, 75], Operations: ['29-18=11', '70+5=75']
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
32,
88,
92,
62
] | 90 | [
"32+88=120",
"92-62=30",
"120-30=90"
] | Current State: 90:[32, 88, 92, 62], Operations: []
Exploring Operation: 32+88=120, Resulting Numbers: [92, 62, 120]
Generated Node #2: [92, 62, 120] from Operation: 32+88=120
Current State: 90:[92, 62, 120], Operations: ['32+88=120']
Exploring Operation: 92-62=30, Resulting Numbers: [120, 30]
Generated Node #3: [120, 30] from Operation: 92-62=30
Current State: 90:[120, 30], Operations: ['32+88=120', '92-62=30']
Exploring Operation: 120-30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
3,
5,
91,
36
] | 85 | [
"3*36=108",
"108-91=17",
"5*17=85"
] | Current State: 85:[3, 5, 91, 36], Operations: []
Exploring Operation: 3*36=108, Resulting Numbers: [5, 91, 108]
Generated Node #2: [5, 91, 108] from Operation: 3*36=108
Current State: 85:[5, 91, 108], Operations: ['3*36=108']
Exploring Operation: 108-91=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 108-91=17
Current State: 85:[5, 17], Operations: ['3*36=108', '108-91=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
46,
38,
73,
59
] | 70 | [
"46+38=84",
"73-59=14",
"84-14=70"
] | Current State: 70:[46, 38, 73, 59], Operations: []
Exploring Operation: 46+38=84, Resulting Numbers: [73, 59, 84]
Generated Node #2: [73, 59, 84] from Operation: 46+38=84
Current State: 70:[73, 59, 84], Operations: ['46+38=84']
Exploring Operation: 73-59=14, Resulting Numbers: [84, 14]
Generated Node #3: [84, 14] from Operation: 73-59=14
Current State: 70:[84, 14], Operations: ['46+38=84', '73-59=14']
Exploring Operation: 84-14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
59,
89,
65,
69
] | 14 | [
"59+89=148",
"65+69=134",
"148-134=14"
] | Current State: 14:[59, 89, 65, 69], Operations: []
Exploring Operation: 59+89=148, Resulting Numbers: [65, 69, 148]
Generated Node #2: [65, 69, 148] from Operation: 59+89=148
Current State: 14:[65, 69, 148], Operations: ['59+89=148']
Exploring Operation: 65+69=134, Resulting Numbers: [148, 134]
Generated Node #3: [148, 134] from Operation: 65+69=134
Current State: 14:[148, 134], Operations: ['59+89=148', '65+69=134']
Exploring Operation: 148-134=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
1,
11,
22,
8
] | 11 | [
"11-1=10",
"10-8=2",
"22/2=11"
] | Current State: 11:[1, 11, 22, 8], Operations: []
Exploring Operation: 11-1=10, Resulting Numbers: [22, 8, 10]
Generated Node #2: [22, 8, 10] from Operation: 11-1=10
Current State: 11:[22, 8, 10], Operations: ['11-1=10']
Exploring Operation: 10-8=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 10-8=2
Current State: 11:[22, 2], Operations: ['11-1=10', '10-8=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
13,
43,
97,
76
] | 77 | [
"13+43=56",
"97-76=21",
"56+21=77"
] | Current State: 77:[13, 43, 97, 76], Operations: []
Exploring Operation: 13+43=56, Resulting Numbers: [97, 76, 56]
Generated Node #2: [97, 76, 56] from Operation: 13+43=56
Current State: 77:[97, 76, 56], Operations: ['13+43=56']
Exploring Operation: 97-76=21, Resulting Numbers: [56, 21]
Generated Node #3: [56, 21] from Operation: 97-76=21
Current State: 77:[56, 21], Operations: ['13+43=56', '97-76=21']
Exploring Operation: 56+21=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
69,
37,
70,
2
] | 18 | [
"69+37=106",
"106-70=36",
"36/2=18"
] | Current State: 18:[69, 37, 70, 2], Operations: []
Exploring Operation: 69+37=106, Resulting Numbers: [70, 2, 106]
Generated Node #2: [70, 2, 106] from Operation: 69+37=106
Current State: 18:[70, 2, 106], Operations: ['69+37=106']
Exploring Operation: 106-70=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 106-70=36
Current State: 18:[2, 36], Operations: ['69+37=106', '106-70=36']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
54,
6,
18,
49
] | 51 | [
"54/6=9",
"18/9=2",
"49+2=51"
] | Current State: 51:[54, 6, 18, 49], Operations: []
Exploring Operation: 54/6=9, Resulting Numbers: [18, 49, 9]
Generated Node #2: [18, 49, 9] from Operation: 54/6=9
Current State: 51:[18, 49, 9], Operations: ['54/6=9']
Exploring Operation: 18/9=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 18/9=2
Current State: 51:[49, 2], Operations: ['54/6=9', '18/9=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
7,
26,
9,
47
] | 10 | [
"7*9=63",
"26+47=73",
"73-63=10"
] | Current State: 10:[7, 26, 9, 47], Operations: []
Exploring Operation: 7*9=63, Resulting Numbers: [26, 47, 63]
Generated Node #2: [26, 47, 63] from Operation: 7*9=63
Current State: 10:[26, 47, 63], Operations: ['7*9=63']
Exploring Operation: 26+47=73, Resulting Numbers: [63, 73]
Generated Node #3: [63, 73] from Operation: 26+47=73
Current State: 10:[63, 73], Operations: ['7*9=63', '26+47=73']
Exploring Operation: 73-63=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
15,
42,
23,
32
] | 28 | [
"42-15=27",
"23+32=55",
"55-27=28"
] | Current State: 28:[15, 42, 23, 32], Operations: []
Exploring Operation: 42-15=27, Resulting Numbers: [23, 32, 27]
Generated Node #2: [23, 32, 27] from Operation: 42-15=27
Current State: 28:[23, 32, 27], Operations: ['42-15=27']
Exploring Operation: 23+32=55, Resulting Numbers: [27, 55]
Generated Node #3: [27, 55] from Operation: 23+32=55
Current State: 28:[27, 55], Operations: ['42-15=27', '23+32=55']
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
80,
10,
96,
71
] | 59 | [
"80/10=8",
"96/8=12",
"71-12=59"
] | Current State: 59:[80, 10, 96, 71], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [96, 71, 8]
Generated Node #2: [96, 71, 8] from Operation: 80/10=8
Current State: 59:[96, 71, 8], Operations: ['80/10=8']
Exploring Operation: 96/8=12, Resulting Numbers: [71, 12]
Generated Node #3: [71, 12] from Operation: 96/8=12
Current State: 59:[71, 12], Operations: ['80/10=8', '96/8=12']
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
4,
48,
32,
80
] | 76 | [
"48-32=16",
"16/4=4",
"80-4=76"
] | Current State: 76:[4, 48, 32, 80], Operations: []
Exploring Operation: 48-32=16, Resulting Numbers: [4, 80, 16]
Generated Node #2: [4, 80, 16] from Operation: 48-32=16
Current State: 76:[4, 80, 16], Operations: ['48-32=16']
Exploring Operation: 16/4=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 16/4=4
Current State: 76:[80, 4], Operations: ['48-32=16', '16/4=4']
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
86,
9,
14,
83
] | 51 | [
"86-83=3",
"14*3=42",
"9+42=51"
] | Current State: 51:[86, 9, 14, 83], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [9, 14, 3]
Generated Node #2: [9, 14, 3] from Operation: 86-83=3
Current State: 51:[9, 14, 3], Operations: ['86-83=3']
Exploring Operation: 14*3=42, Resulting Numbers: [9, 42]
Generated Node #3: [9, 42] from Operation: 14*3=42
Current State: 51:[9, 42], Operations: ['86-83=3', '14*3=42']
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
17,
54,
31,
2
] | 57 | [
"17*2=34",
"54-31=23",
"34+23=57"
] | Current State: 57:[17, 54, 31, 2], Operations: []
Exploring Operation: 17*2=34, Resulting Numbers: [54, 31, 34]
Generated Node #2: [54, 31, 34] from Operation: 17*2=34
Current State: 57:[54, 31, 34], Operations: ['17*2=34']
Exploring Operation: 54-31=23, Resulting Numbers: [34, 23]
Generated Node #3: [34, 23] from Operation: 54-31=23
Current State: 57:[34, 23], Operations: ['17*2=34', '54-31=23']
Exploring Operation: 34+23=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
40,
26,
56,
4
] | 46 | [
"40-26=14",
"56+4=60",
"60-14=46"
] | Current State: 46:[40, 26, 56, 4], Operations: []
Exploring Operation: 40-26=14, Resulting Numbers: [56, 4, 14]
Generated Node #2: [56, 4, 14] from Operation: 40-26=14
Current State: 46:[56, 4, 14], Operations: ['40-26=14']
Exploring Operation: 56+4=60, Resulting Numbers: [14, 60]
Generated Node #3: [14, 60] from Operation: 56+4=60
Current State: 46:[14, 60], Operations: ['40-26=14', '56+4=60']
Exploring Operation: 60-14=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
99,
98,
9,
77
] | 10 | [
"99/9=11",
"98-77=21",
"21-11=10"
] | Current State: 10:[99, 98, 9, 77], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [98, 77, 11]
Generated Node #2: [98, 77, 11] from Operation: 99/9=11
Current State: 10:[98, 77, 11], Operations: ['99/9=11']
Exploring Operation: 98-77=21, Resulting Numbers: [11, 21]
Generated Node #3: [11, 21] from Operation: 98-77=21
Current State: 10:[11, 21], Operations: ['99/9=11', '98-77=21']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
55,
50,
95,
2
] | 88 | [
"55-50=5",
"95-2=93",
"93-5=88"
] | Current State: 88:[55, 50, 95, 2], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [95, 2, 5]
Generated Node #2: [95, 2, 5] from Operation: 55-50=5
Current State: 88:[95, 2, 5], Operations: ['55-50=5']
Exploring Operation: 95-2=93, Resulting Numbers: [5, 93]
Generated Node #3: [5, 93] from Operation: 95-2=93
Current State: 88:[5, 93], Operations: ['55-50=5', '95-2=93']
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
65,
18,
95,
49
] | 37 | [
"65+18=83",
"95-49=46",
"83-46=37"
] | Current State: 37:[65, 18, 95, 49], Operations: []
Exploring Operation: 65+18=83, Resulting Numbers: [95, 49, 83]
Generated Node #2: [95, 49, 83] from Operation: 65+18=83
Current State: 37:[95, 49, 83], Operations: ['65+18=83']
Exploring Operation: 95-49=46, Resulting Numbers: [83, 46]
Generated Node #3: [83, 46] from Operation: 95-49=46
Current State: 37:[83, 46], Operations: ['65+18=83', '95-49=46']
Exploring Operation: 83-46=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
90,
50,
3,
54
] | 83 | [
"90+50=140",
"3+54=57",
"140-57=83"
] | Current State: 83:[90, 50, 3, 54], Operations: []
Exploring Operation: 90+50=140, Resulting Numbers: [3, 54, 140]
Generated Node #2: [3, 54, 140] from Operation: 90+50=140
Current State: 83:[3, 54, 140], Operations: ['90+50=140']
Exploring Operation: 3+54=57, Resulting Numbers: [140, 57]
Generated Node #3: [140, 57] from Operation: 3+54=57
Current State: 83:[140, 57], Operations: ['90+50=140', '3+54=57']
Exploring Operation: 140-57=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
80,
77,
5,
63
] | 71 | [
"80-77=3",
"5+63=68",
"3+68=71"
] | Current State: 71:[80, 77, 5, 63], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [5, 63, 3]
Generated Node #2: [5, 63, 3] from Operation: 80-77=3
Current State: 71:[5, 63, 3], Operations: ['80-77=3']
Exploring Operation: 5+63=68, Resulting Numbers: [3, 68]
Generated Node #3: [3, 68] from Operation: 5+63=68
Current State: 71:[3, 68], Operations: ['80-77=3', '5+63=68']
Exploring Operation: 3+68=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
23,
2,
13,
55
] | 88 | [
"23*2=46",
"55-13=42",
"46+42=88"
] | Current State: 88:[23, 2, 13, 55], Operations: []
Exploring Operation: 23*2=46, Resulting Numbers: [13, 55, 46]
Generated Node #2: [13, 55, 46] from Operation: 23*2=46
Current State: 88:[13, 55, 46], Operations: ['23*2=46']
Exploring Operation: 55-13=42, Resulting Numbers: [46, 42]
Generated Node #3: [46, 42] from Operation: 55-13=42
Current State: 88:[46, 42], Operations: ['23*2=46', '55-13=42']
Exploring Operation: 46+42=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
38,
56,
28,
91
] | 15 | [
"38*56=2128",
"2128/28=76",
"91-76=15"
] | Current State: 15:[38, 56, 28, 91], Operations: []
Exploring Operation: 38*56=2128, Resulting Numbers: [28, 91, 2128]
Generated Node #2: [28, 91, 2128] from Operation: 38*56=2128
Current State: 15:[28, 91, 2128], Operations: ['38*56=2128']
Exploring Operation: 2128/28=76, Resulting Numbers: [91, 76]
Generated Node #3: [91, 76] from Operation: 2128/28=76
Current State: 15:[91, 76], Operations: ['38*56=2128', '2128/28=76']
Exploring Operation: 91-76=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
18,
39,
60,
9
] | 81 | [
"18*60=1080",
"1080/9=120",
"120-39=81"
] | Current State: 81:[18, 39, 60, 9], Operations: []
Exploring Operation: 18*60=1080, Resulting Numbers: [39, 9, 1080]
Generated Node #2: [39, 9, 1080] from Operation: 18*60=1080
Current State: 81:[39, 9, 1080], Operations: ['18*60=1080']
Exploring Operation: 1080/9=120, Resulting Numbers: [39, 120]
Generated Node #3: [39, 120] from Operation: 1080/9=120
Current State: 81:[39, 120], Operations: ['18*60=1080', '1080/9=120']
Exploring Operation: 120-39=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
83,
21,
98,
76
] | 40 | [
"83-21=62",
"98-76=22",
"62-22=40"
] | Current State: 40:[83, 21, 98, 76], Operations: []
Exploring Operation: 83-21=62, Resulting Numbers: [98, 76, 62]
Generated Node #2: [98, 76, 62] from Operation: 83-21=62
Current State: 40:[98, 76, 62], Operations: ['83-21=62']
Exploring Operation: 98-76=22, Resulting Numbers: [62, 22]
Generated Node #3: [62, 22] from Operation: 98-76=22
Current State: 40:[62, 22], Operations: ['83-21=62', '98-76=22']
Exploring Operation: 62-22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
75,
56,
92,
77
] | 51 | [
"92-77=15",
"75/15=5",
"56-5=51"
] | Current State: 51:[75, 56, 92, 77], Operations: []
Exploring Operation: 92-77=15, Resulting Numbers: [75, 56, 15]
Generated Node #2: [75, 56, 15] from Operation: 92-77=15
Current State: 51:[75, 56, 15], Operations: ['92-77=15']
Exploring Operation: 75/15=5, Resulting Numbers: [56, 5]
Generated Node #3: [56, 5] from Operation: 75/15=5
Current State: 51:[56, 5], Operations: ['92-77=15', '75/15=5']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
13,
6,
26,
4
] | 26 | [
"13*6=78",
"26*4=104",
"104-78=26"
] | Current State: 26:[13, 6, 26, 4], Operations: []
Exploring Operation: 13*6=78, Resulting Numbers: [26, 4, 78]
Generated Node #2: [26, 4, 78] from Operation: 13*6=78
Current State: 26:[26, 4, 78], Operations: ['13*6=78']
Exploring Operation: 26*4=104, Resulting Numbers: [78, 104]
Generated Node #3: [78, 104] from Operation: 26*4=104
Current State: 26:[78, 104], Operations: ['13*6=78', '26*4=104']
Exploring Operation: 104-78=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
71,
84,
8,
14
] | 76 | [
"84*14=1176",
"1176/8=147",
"147-71=76"
] | Current State: 76:[71, 84, 8, 14], Operations: []
Exploring Operation: 84*14=1176, Resulting Numbers: [71, 8, 1176]
Generated Node #2: [71, 8, 1176] from Operation: 84*14=1176
Current State: 76:[71, 8, 1176], Operations: ['84*14=1176']
Exploring Operation: 1176/8=147, Resulting Numbers: [71, 147]
Generated Node #3: [71, 147] from Operation: 1176/8=147
Current State: 76:[71, 147], Operations: ['84*14=1176', '1176/8=147']
Exploring Operation: 147-71=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
56,
50,
95,
10
] | 85 | [
"50*95=4750",
"10+4750=4760",
"4760/56=85"
] | Current State: 85:[56, 50, 95, 10], Operations: []
Exploring Operation: 50*95=4750, Resulting Numbers: [56, 10, 4750]
Generated Node #2: [56, 10, 4750] from Operation: 50*95=4750
Current State: 85:[56, 10, 4750], Operations: ['50*95=4750']
Exploring Operation: 10+4750=4760, Resulting Numbers: [56, 4760]
Generated Node #3: [56, 4760] from Operation: 10+4750=4760
Current State: 85:[56, 4760], Operations: ['50*95=4750', '10+4750=4760']
Exploring Operation: 4760/56=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
22,
30,
74,
69
] | 16 | [
"74-69=5",
"30/5=6",
"22-6=16"
] | Current State: 16:[22, 30, 74, 69], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [22, 30, 5]
Generated Node #2: [22, 30, 5] from Operation: 74-69=5
Current State: 16:[22, 30, 5], Operations: ['74-69=5']
Exploring Operation: 30/5=6, Resulting Numbers: [22, 6]
Generated Node #3: [22, 6] from Operation: 30/5=6
Current State: 16:[22, 6], Operations: ['74-69=5', '30/5=6']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
51,
34,
65,
81
] | 61 | [
"51+34=85",
"65+81=146",
"146-85=61"
] | Current State: 61:[51, 34, 65, 81], Operations: []
Exploring Operation: 51+34=85, Resulting Numbers: [65, 81, 85]
Generated Node #2: [65, 81, 85] from Operation: 51+34=85
Current State: 61:[65, 81, 85], Operations: ['51+34=85']
Exploring Operation: 65+81=146, Resulting Numbers: [85, 146]
Generated Node #3: [85, 146] from Operation: 65+81=146
Current State: 61:[85, 146], Operations: ['51+34=85', '65+81=146']
Exploring Operation: 146-85=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
61,
10,
39,
96
] | 40 | [
"61+39=100",
"100-96=4",
"10*4=40"
] | Current State: 40:[61, 10, 39, 96], Operations: []
Exploring Operation: 61+39=100, Resulting Numbers: [10, 96, 100]
Generated Node #2: [10, 96, 100] from Operation: 61+39=100
Current State: 40:[10, 96, 100], Operations: ['61+39=100']
Exploring Operation: 100-96=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 100-96=4
Current State: 40:[10, 4], Operations: ['61+39=100', '100-96=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
64,
18,
6,
56
] | 24 | [
"64-56=8",
"18/6=3",
"8*3=24"
] | Current State: 24:[64, 18, 6, 56], Operations: []
Exploring Operation: 64-56=8, Resulting Numbers: [18, 6, 8]
Generated Node #2: [18, 6, 8] from Operation: 64-56=8
Current State: 24:[18, 6, 8], Operations: ['64-56=8']
Exploring Operation: 18/6=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 18/6=3
Current State: 24:[8, 3], Operations: ['64-56=8', '18/6=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
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