nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
9,
54,
65,
22
] | 59 | [
"22-9=13",
"65/13=5",
"54+5=59"
] | Current State: 59:[9, 54, 65, 22], Operations: []
Exploring Operation: 22-9=13, Resulting Numbers: [54, 65, 13]
Generated Node #2: [54, 65, 13] from Operation: 22-9=13
Current State: 59:[54, 65, 13], Operations: ['22-9=13']
Exploring Operation: 65/13=5, Resulting Numbers: [54, 5]
Generated Node #3: [54, 5] from Operation: 65/13=5
Current State: 59:[54, 5], Operations: ['22-9=13', '65/13=5']
Exploring Operation: 54+5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
78,
37,
51,
28
] | 37 | [
"78-51=27",
"28-27=1",
"37*1=37"
] | Current State: 37:[78, 37, 51, 28], Operations: []
Exploring Operation: 78-51=27, Resulting Numbers: [37, 28, 27]
Generated Node #2: [37, 28, 27] from Operation: 78-51=27
Current State: 37:[37, 28, 27], Operations: ['78-51=27']
Exploring Operation: 28-27=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 28-27=1
Current State: 37:[37, 1], Operations: ['78-51=27', '28-27=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
53,
49,
61,
38
] | 79 | [
"53+49=102",
"61-38=23",
"102-23=79"
] | Current State: 79:[53, 49, 61, 38], Operations: []
Exploring Operation: 53+49=102, Resulting Numbers: [61, 38, 102]
Generated Node #2: [61, 38, 102] from Operation: 53+49=102
Current State: 79:[61, 38, 102], Operations: ['53+49=102']
Exploring Operation: 61-38=23, Resulting Numbers: [102, 23]
Generated Node #3: [102, 23] from Operation: 61-38=23
Current State: 79:[102, 23], Operations: ['53+49=102', '61-38=23']
Exploring Operation: 102-23=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
66,
50,
64,
87
] | 35 | [
"66+50=116",
"64+87=151",
"151-116=35"
] | Current State: 35:[66, 50, 64, 87], Operations: []
Exploring Operation: 66+50=116, Resulting Numbers: [64, 87, 116]
Generated Node #2: [64, 87, 116] from Operation: 66+50=116
Current State: 35:[64, 87, 116], Operations: ['66+50=116']
Exploring Operation: 64+87=151, Resulting Numbers: [116, 151]
Generated Node #3: [116, 151] from Operation: 64+87=151
Current State: 35:[116, 151], Operations: ['66+50=116', '64+87=151']
Exploring Operation: 151-116=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
15,
6,
32,
83
] | 94 | [
"15+6=21",
"32+83=115",
"115-21=94"
] | Current State: 94:[15, 6, 32, 83], Operations: []
Exploring Operation: 15+6=21, Resulting Numbers: [32, 83, 21]
Generated Node #2: [32, 83, 21] from Operation: 15+6=21
Current State: 94:[32, 83, 21], Operations: ['15+6=21']
Exploring Operation: 32+83=115, Resulting Numbers: [21, 115]
Generated Node #3: [21, 115] from Operation: 32+83=115
Current State: 94:[21, 115], Operations: ['15+6=21', '32+83=115']
Exploring Operation: 115-21=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
93,
1,
67,
84
] | 57 | [
"93+1=94",
"67+84=151",
"151-94=57"
] | Current State: 57:[93, 1, 67, 84], Operations: []
Exploring Operation: 93+1=94, Resulting Numbers: [67, 84, 94]
Generated Node #2: [67, 84, 94] from Operation: 93+1=94
Current State: 57:[67, 84, 94], Operations: ['93+1=94']
Exploring Operation: 67+84=151, Resulting Numbers: [94, 151]
Generated Node #3: [94, 151] from Operation: 67+84=151
Current State: 57:[94, 151], Operations: ['93+1=94', '67+84=151']
Exploring Operation: 151-94=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
34,
43,
36,
50
] | 68 | [
"36-34=2",
"50/2=25",
"43+25=68"
] | Current State: 68:[34, 43, 36, 50], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [43, 50, 2]
Generated Node #2: [43, 50, 2] from Operation: 36-34=2
Current State: 68:[43, 50, 2], Operations: ['36-34=2']
Exploring Operation: 50/2=25, Resulting Numbers: [43, 25]
Generated Node #3: [43, 25] from Operation: 50/2=25
Current State: 68:[43, 25], Operations: ['36-34=2', '50/2=25']
Exploring Operation: 43+25=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
23,
4,
7,
71
] | 94 | [
"23*7=161",
"71-4=67",
"161-67=94"
] | Current State: 94:[23, 4, 7, 71], Operations: []
Exploring Operation: 23*7=161, Resulting Numbers: [4, 71, 161]
Generated Node #2: [4, 71, 161] from Operation: 23*7=161
Current State: 94:[4, 71, 161], Operations: ['23*7=161']
Exploring Operation: 71-4=67, Resulting Numbers: [161, 67]
Generated Node #3: [161, 67] from Operation: 71-4=67
Current State: 94:[161, 67], Operations: ['23*7=161', '71-4=67']
Exploring Operation: 161-67=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
41,
6,
35,
6
] | 41 | [
"6*6=36",
"36-35=1",
"41*1=41"
] | Current State: 41:[41, 6, 35, 6], Operations: []
Exploring Operation: 6*6=36, Resulting Numbers: [41, 35, 36]
Generated Node #2: [41, 35, 36] from Operation: 6*6=36
Current State: 41:[41, 35, 36], Operations: ['6*6=36']
Exploring Operation: 36-35=1, Resulting Numbers: [41, 1]
Generated Node #3: [41, 1] from Operation: 36-35=1
Current State: 41:[41, 1], Operations: ['6*6=36', '36-35=1']
Exploring Operation: 41*1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
48,
99,
77,
69
] | 22 | [
"48*77=3696",
"99+69=168",
"3696/168=22"
] | Current State: 22:[48, 99, 77, 69], Operations: []
Exploring Operation: 48*77=3696, Resulting Numbers: [99, 69, 3696]
Generated Node #2: [99, 69, 3696] from Operation: 48*77=3696
Current State: 22:[99, 69, 3696], Operations: ['48*77=3696']
Exploring Operation: 99+69=168, Resulting Numbers: [3696, 168]
Generated Node #3: [3696, 168] from Operation: 99+69=168
Current State: 22:[3696, 168], Operations: ['48*77=3696', '99+69=168']
Exploring Operation: 3696/168=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
70,
9,
63,
66
] | 73 | [
"66-63=3",
"9/3=3",
"70+3=73"
] | Current State: 73:[70, 9, 63, 66], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [70, 9, 3]
Generated Node #2: [70, 9, 3] from Operation: 66-63=3
Current State: 73:[70, 9, 3], Operations: ['66-63=3']
Exploring Operation: 9/3=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 9/3=3
Current State: 73:[70, 3], Operations: ['66-63=3', '9/3=3']
Exploring Operation: 70+3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
99,
45,
94,
34
] | 16 | [
"99+45=144",
"94+34=128",
"144-128=16"
] | Current State: 16:[99, 45, 94, 34], Operations: []
Exploring Operation: 99+45=144, Resulting Numbers: [94, 34, 144]
Generated Node #2: [94, 34, 144] from Operation: 99+45=144
Current State: 16:[94, 34, 144], Operations: ['99+45=144']
Exploring Operation: 94+34=128, Resulting Numbers: [144, 128]
Generated Node #3: [144, 128] from Operation: 94+34=128
Current State: 16:[144, 128], Operations: ['99+45=144', '94+34=128']
Exploring Operation: 144-128=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
97,
35,
21,
94
] | 98 | [
"97-94=3",
"21*3=63",
"35+63=98"
] | Current State: 98:[97, 35, 21, 94], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [35, 21, 3]
Generated Node #2: [35, 21, 3] from Operation: 97-94=3
Current State: 98:[35, 21, 3], Operations: ['97-94=3']
Exploring Operation: 21*3=63, Resulting Numbers: [35, 63]
Generated Node #3: [35, 63] from Operation: 21*3=63
Current State: 98:[35, 63], Operations: ['97-94=3', '21*3=63']
Exploring Operation: 35+63=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
72,
71,
8,
9
] | 73 | [
"72-71=1",
"8*9=72",
"1+72=73"
] | Current State: 73:[72, 71, 8, 9], Operations: []
Exploring Operation: 72-71=1, Resulting Numbers: [8, 9, 1]
Generated Node #2: [8, 9, 1] from Operation: 72-71=1
Current State: 73:[8, 9, 1], Operations: ['72-71=1']
Exploring Operation: 8*9=72, Resulting Numbers: [1, 72]
Generated Node #3: [1, 72] from Operation: 8*9=72
Current State: 73:[1, 72], Operations: ['72-71=1', '8*9=72']
Exploring Operation: 1+72=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
28,
42,
2,
86
] | 30 | [
"28/2=14",
"86-42=44",
"44-14=30"
] | Current State: 30:[28, 42, 2, 86], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [42, 86, 14]
Generated Node #2: [42, 86, 14] from Operation: 28/2=14
Current State: 30:[42, 86, 14], Operations: ['28/2=14']
Exploring Operation: 86-42=44, Resulting Numbers: [14, 44]
Generated Node #3: [14, 44] from Operation: 86-42=44
Current State: 30:[14, 44], Operations: ['28/2=14', '86-42=44']
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
23,
37,
35,
3
] | 17 | [
"37-35=2",
"3*2=6",
"23-6=17"
] | Current State: 17:[23, 37, 35, 3], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [23, 3, 2]
Generated Node #2: [23, 3, 2] from Operation: 37-35=2
Current State: 17:[23, 3, 2], Operations: ['37-35=2']
Exploring Operation: 3*2=6, Resulting Numbers: [23, 6]
Generated Node #3: [23, 6] from Operation: 3*2=6
Current State: 17:[23, 6], Operations: ['37-35=2', '3*2=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
75,
22,
47,
86
] | 92 | [
"75-22=53",
"86-47=39",
"53+39=92"
] | Current State: 92:[75, 22, 47, 86], Operations: []
Exploring Operation: 75-22=53, Resulting Numbers: [47, 86, 53]
Generated Node #2: [47, 86, 53] from Operation: 75-22=53
Current State: 92:[47, 86, 53], Operations: ['75-22=53']
Exploring Operation: 86-47=39, Resulting Numbers: [53, 39]
Generated Node #3: [53, 39] from Operation: 86-47=39
Current State: 92:[53, 39], Operations: ['75-22=53', '86-47=39']
Exploring Operation: 53+39=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
88,
86,
11,
72
] | 77 | [
"88/11=8",
"72/8=9",
"86-9=77"
] | Current State: 77:[88, 86, 11, 72], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [86, 72, 8]
Generated Node #2: [86, 72, 8] from Operation: 88/11=8
Current State: 77:[86, 72, 8], Operations: ['88/11=8']
Exploring Operation: 72/8=9, Resulting Numbers: [86, 9]
Generated Node #3: [86, 9] from Operation: 72/8=9
Current State: 77:[86, 9], Operations: ['88/11=8', '72/8=9']
Exploring Operation: 86-9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
52,
62,
69,
73
] | 14 | [
"62-52=10",
"73-69=4",
"10+4=14"
] | Current State: 14:[52, 62, 69, 73], Operations: []
Exploring Operation: 62-52=10, Resulting Numbers: [69, 73, 10]
Generated Node #2: [69, 73, 10] from Operation: 62-52=10
Current State: 14:[69, 73, 10], Operations: ['62-52=10']
Exploring Operation: 73-69=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 73-69=4
Current State: 14:[10, 4], Operations: ['62-52=10', '73-69=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
6,
65,
4,
50
] | 86 | [
"65-50=15",
"6*15=90",
"90-4=86"
] | Current State: 86:[6, 65, 4, 50], Operations: []
Exploring Operation: 65-50=15, Resulting Numbers: [6, 4, 15]
Generated Node #2: [6, 4, 15] from Operation: 65-50=15
Current State: 86:[6, 4, 15], Operations: ['65-50=15']
Exploring Operation: 6*15=90, Resulting Numbers: [4, 90]
Generated Node #3: [4, 90] from Operation: 6*15=90
Current State: 86:[4, 90], Operations: ['65-50=15', '6*15=90']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
54,
89,
91,
44
] | 28 | [
"54+89=143",
"91*44=4004",
"4004/143=28"
] | Current State: 28:[54, 89, 91, 44], Operations: []
Exploring Operation: 54+89=143, Resulting Numbers: [91, 44, 143]
Generated Node #2: [91, 44, 143] from Operation: 54+89=143
Current State: 28:[91, 44, 143], Operations: ['54+89=143']
Exploring Operation: 91*44=4004, Resulting Numbers: [143, 4004]
Generated Node #3: [143, 4004] from Operation: 91*44=4004
Current State: 28:[143, 4004], Operations: ['54+89=143', '91*44=4004']
Exploring Operation: 4004/143=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
54,
2,
63,
51
] | 62 | [
"54-2=52",
"63+51=114",
"114-52=62"
] | Current State: 62:[54, 2, 63, 51], Operations: []
Exploring Operation: 54-2=52, Resulting Numbers: [63, 51, 52]
Generated Node #2: [63, 51, 52] from Operation: 54-2=52
Current State: 62:[63, 51, 52], Operations: ['54-2=52']
Exploring Operation: 63+51=114, Resulting Numbers: [52, 114]
Generated Node #3: [52, 114] from Operation: 63+51=114
Current State: 62:[52, 114], Operations: ['54-2=52', '63+51=114']
Exploring Operation: 114-52=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
22,
62,
62,
60
] | 82 | [
"22+62=84",
"62-60=2",
"84-2=82"
] | Current State: 82:[22, 62, 62, 60], Operations: []
Exploring Operation: 22+62=84, Resulting Numbers: [60, 84]
Generated Node #2: [60, 84] from Operation: 22+62=84
Current State: 82:[60, 84], Operations: ['22+62=84']
Exploring Operation: 62-60=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 62-60=2
Current State: 82:[84, 2], Operations: ['22+62=84', '62-60=2']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
65,
21,
12,
51
] | 27 | [
"65*21=1365",
"12+1365=1377",
"1377/51=27"
] | Current State: 27:[65, 21, 12, 51], Operations: []
Exploring Operation: 65*21=1365, Resulting Numbers: [12, 51, 1365]
Generated Node #2: [12, 51, 1365] from Operation: 65*21=1365
Current State: 27:[12, 51, 1365], Operations: ['65*21=1365']
Exploring Operation: 12+1365=1377, Resulting Numbers: [51, 1377]
Generated Node #3: [51, 1377] from Operation: 12+1365=1377
Current State: 27:[51, 1377], Operations: ['65*21=1365', '12+1365=1377']
Exploring Operation: 1377/51=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
47,
8,
52,
50
] | 80 | [
"52-47=5",
"8*50=400",
"400/5=80"
] | Current State: 80:[47, 8, 52, 50], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [8, 50, 5]
Generated Node #2: [8, 50, 5] from Operation: 52-47=5
Current State: 80:[8, 50, 5], Operations: ['52-47=5']
Exploring Operation: 8*50=400, Resulting Numbers: [5, 400]
Generated Node #3: [5, 400] from Operation: 8*50=400
Current State: 80:[5, 400], Operations: ['52-47=5', '8*50=400']
Exploring Operation: 400/5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
30,
31,
24,
5
] | 45 | [
"31+5=36",
"30*36=1080",
"1080/24=45"
] | Current State: 45:[30, 31, 24, 5], Operations: []
Exploring Operation: 31+5=36, Resulting Numbers: [30, 24, 36]
Generated Node #2: [30, 24, 36] from Operation: 31+5=36
Current State: 45:[30, 24, 36], Operations: ['31+5=36']
Exploring Operation: 30*36=1080, Resulting Numbers: [24, 1080]
Generated Node #3: [24, 1080] from Operation: 30*36=1080
Current State: 45:[24, 1080], Operations: ['31+5=36', '30*36=1080']
Exploring Operation: 1080/24=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
76,
93,
22,
37
] | 30 | [
"76*37=2812",
"2812-22=2790",
"2790/93=30"
] | Current State: 30:[76, 93, 22, 37], Operations: []
Exploring Operation: 76*37=2812, Resulting Numbers: [93, 22, 2812]
Generated Node #2: [93, 22, 2812] from Operation: 76*37=2812
Current State: 30:[93, 22, 2812], Operations: ['76*37=2812']
Exploring Operation: 2812-22=2790, Resulting Numbers: [93, 2790]
Generated Node #3: [93, 2790] from Operation: 2812-22=2790
Current State: 30:[93, 2790], Operations: ['76*37=2812', '2812-22=2790']
Exploring Operation: 2790/93=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
35,
60,
15,
93
] | 96 | [
"35-15=20",
"60/20=3",
"93+3=96"
] | Current State: 96:[35, 60, 15, 93], Operations: []
Exploring Operation: 35-15=20, Resulting Numbers: [60, 93, 20]
Generated Node #2: [60, 93, 20] from Operation: 35-15=20
Current State: 96:[60, 93, 20], Operations: ['35-15=20']
Exploring Operation: 60/20=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 60/20=3
Current State: 96:[93, 3], Operations: ['35-15=20', '60/20=3']
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
28,
28,
40,
4
] | 24 | [
"28+28=56",
"40+56=96",
"96/4=24"
] | Current State: 24:[28, 28, 40, 4], Operations: []
Exploring Operation: 28+28=56, Resulting Numbers: [40, 4, 56]
Generated Node #2: [40, 4, 56] from Operation: 28+28=56
Current State: 24:[40, 4, 56], Operations: ['28+28=56']
Exploring Operation: 40+56=96, Resulting Numbers: [4, 96]
Generated Node #3: [4, 96] from Operation: 40+56=96
Current State: 24:[4, 96], Operations: ['28+28=56', '40+56=96']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
72,
2,
13,
17
] | 63 | [
"72+17=89",
"2*13=26",
"89-26=63"
] | Current State: 63:[72, 2, 13, 17], Operations: []
Exploring Operation: 72+17=89, Resulting Numbers: [2, 13, 89]
Generated Node #2: [2, 13, 89] from Operation: 72+17=89
Current State: 63:[2, 13, 89], Operations: ['72+17=89']
Exploring Operation: 2*13=26, Resulting Numbers: [89, 26]
Generated Node #3: [89, 26] from Operation: 2*13=26
Current State: 63:[89, 26], Operations: ['72+17=89', '2*13=26']
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
43,
42,
45,
87
] | 44 | [
"43*45=1935",
"1935-87=1848",
"1848/42=44"
] | Current State: 44:[43, 42, 45, 87], Operations: []
Exploring Operation: 43*45=1935, Resulting Numbers: [42, 87, 1935]
Generated Node #2: [42, 87, 1935] from Operation: 43*45=1935
Current State: 44:[42, 87, 1935], Operations: ['43*45=1935']
Exploring Operation: 1935-87=1848, Resulting Numbers: [42, 1848]
Generated Node #3: [42, 1848] from Operation: 1935-87=1848
Current State: 44:[42, 1848], Operations: ['43*45=1935', '1935-87=1848']
Exploring Operation: 1848/42=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
41,
74,
23,
3
] | 72 | [
"41*3=123",
"74-23=51",
"123-51=72"
] | Current State: 72:[41, 74, 23, 3], Operations: []
Exploring Operation: 41*3=123, Resulting Numbers: [74, 23, 123]
Generated Node #2: [74, 23, 123] from Operation: 41*3=123
Current State: 72:[74, 23, 123], Operations: ['41*3=123']
Exploring Operation: 74-23=51, Resulting Numbers: [123, 51]
Generated Node #3: [123, 51] from Operation: 74-23=51
Current State: 72:[123, 51], Operations: ['41*3=123', '74-23=51']
Exploring Operation: 123-51=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
96,
86,
55,
31
] | 95 | [
"86-55=31",
"31/31=1",
"96-1=95"
] | Current State: 95:[96, 86, 55, 31], Operations: []
Exploring Operation: 86-55=31, Resulting Numbers: [96, 31, 31]
Generated Node #2: [96, 31, 31] from Operation: 86-55=31
Current State: 95:[96, 31, 31], Operations: ['86-55=31']
Exploring Operation: 31/31=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 31/31=1
Current State: 95:[96, 1], Operations: ['86-55=31', '31/31=1']
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
83,
58,
58
] | 78 | [
"83-6=77",
"58/58=1",
"77+1=78"
] | Current State: 78:[6, 83, 58, 58], Operations: []
Exploring Operation: 83-6=77, Resulting Numbers: [58, 58, 77]
Generated Node #2: [58, 58, 77] from Operation: 83-6=77
Current State: 78:[58, 58, 77], Operations: ['83-6=77']
Exploring Operation: 58/58=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 58/58=1
Current State: 78:[77, 1], Operations: ['83-6=77', '58/58=1']
Exploring Operation: 77+1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
35,
28,
6,
50
] | 63 | [
"35-28=7",
"6+50=56",
"7+56=63"
] | Current State: 63:[35, 28, 6, 50], Operations: []
Exploring Operation: 35-28=7, Resulting Numbers: [6, 50, 7]
Generated Node #2: [6, 50, 7] from Operation: 35-28=7
Current State: 63:[6, 50, 7], Operations: ['35-28=7']
Exploring Operation: 6+50=56, Resulting Numbers: [7, 56]
Generated Node #3: [7, 56] from Operation: 6+50=56
Current State: 63:[7, 56], Operations: ['35-28=7', '6+50=56']
Exploring Operation: 7+56=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
84,
52,
71,
16
] | 64 | [
"84-71=13",
"52*16=832",
"832/13=64"
] | Current State: 64:[84, 52, 71, 16], Operations: []
Exploring Operation: 84-71=13, Resulting Numbers: [52, 16, 13]
Generated Node #2: [52, 16, 13] from Operation: 84-71=13
Current State: 64:[52, 16, 13], Operations: ['84-71=13']
Exploring Operation: 52*16=832, Resulting Numbers: [13, 832]
Generated Node #3: [13, 832] from Operation: 52*16=832
Current State: 64:[13, 832], Operations: ['84-71=13', '52*16=832']
Exploring Operation: 832/13=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
7,
93,
14,
42
] | 49 | [
"14/7=2",
"93-42=51",
"51-2=49"
] | Current State: 49:[7, 93, 14, 42], Operations: []
Exploring Operation: 14/7=2, Resulting Numbers: [93, 42, 2]
Generated Node #2: [93, 42, 2] from Operation: 14/7=2
Current State: 49:[93, 42, 2], Operations: ['14/7=2']
Exploring Operation: 93-42=51, Resulting Numbers: [2, 51]
Generated Node #3: [2, 51] from Operation: 93-42=51
Current State: 49:[2, 51], Operations: ['14/7=2', '93-42=51']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
97,
58,
5,
87
] | 43 | [
"97-58=39",
"87-5=82",
"82-39=43"
] | Current State: 43:[97, 58, 5, 87], Operations: []
Exploring Operation: 97-58=39, Resulting Numbers: [5, 87, 39]
Generated Node #2: [5, 87, 39] from Operation: 97-58=39
Current State: 43:[5, 87, 39], Operations: ['97-58=39']
Exploring Operation: 87-5=82, Resulting Numbers: [39, 82]
Generated Node #3: [39, 82] from Operation: 87-5=82
Current State: 43:[39, 82], Operations: ['97-58=39', '87-5=82']
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
62,
84,
1,
78
] | 67 | [
"62+84=146",
"1+78=79",
"146-79=67"
] | Current State: 67:[62, 84, 1, 78], Operations: []
Exploring Operation: 62+84=146, Resulting Numbers: [1, 78, 146]
Generated Node #2: [1, 78, 146] from Operation: 62+84=146
Current State: 67:[1, 78, 146], Operations: ['62+84=146']
Exploring Operation: 1+78=79, Resulting Numbers: [146, 79]
Generated Node #3: [146, 79] from Operation: 1+78=79
Current State: 67:[146, 79], Operations: ['62+84=146', '1+78=79']
Exploring Operation: 146-79=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
62,
6,
56,
16
] | 50 | [
"56+16=72",
"72/6=12",
"62-12=50"
] | Current State: 50:[62, 6, 56, 16], Operations: []
Exploring Operation: 56+16=72, Resulting Numbers: [62, 6, 72]
Generated Node #2: [62, 6, 72] from Operation: 56+16=72
Current State: 50:[62, 6, 72], Operations: ['56+16=72']
Exploring Operation: 72/6=12, Resulting Numbers: [62, 12]
Generated Node #3: [62, 12] from Operation: 72/6=12
Current State: 50:[62, 12], Operations: ['56+16=72', '72/6=12']
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
57,
61,
60,
79
] | 23 | [
"61-57=4",
"79-60=19",
"4+19=23"
] | Current State: 23:[57, 61, 60, 79], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [60, 79, 4]
Generated Node #2: [60, 79, 4] from Operation: 61-57=4
Current State: 23:[60, 79, 4], Operations: ['61-57=4']
Exploring Operation: 79-60=19, Resulting Numbers: [4, 19]
Generated Node #3: [4, 19] from Operation: 79-60=19
Current State: 23:[4, 19], Operations: ['61-57=4', '79-60=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
98,
30,
44,
77
] | 35 | [
"98-30=68",
"77-44=33",
"68-33=35"
] | Current State: 35:[98, 30, 44, 77], Operations: []
Exploring Operation: 98-30=68, Resulting Numbers: [44, 77, 68]
Generated Node #2: [44, 77, 68] from Operation: 98-30=68
Current State: 35:[44, 77, 68], Operations: ['98-30=68']
Exploring Operation: 77-44=33, Resulting Numbers: [68, 33]
Generated Node #3: [68, 33] from Operation: 77-44=33
Current State: 35:[68, 33], Operations: ['98-30=68', '77-44=33']
Exploring Operation: 68-33=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
43,
7,
20,
39
] | 87 | [
"43-39=4",
"20*4=80",
"7+80=87"
] | Current State: 87:[43, 7, 20, 39], Operations: []
Exploring Operation: 43-39=4, Resulting Numbers: [7, 20, 4]
Generated Node #2: [7, 20, 4] from Operation: 43-39=4
Current State: 87:[7, 20, 4], Operations: ['43-39=4']
Exploring Operation: 20*4=80, Resulting Numbers: [7, 80]
Generated Node #3: [7, 80] from Operation: 20*4=80
Current State: 87:[7, 80], Operations: ['43-39=4', '20*4=80']
Exploring Operation: 7+80=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
72,
52,
91,
22
] | 93 | [
"72-52=20",
"91+22=113",
"113-20=93"
] | Current State: 93:[72, 52, 91, 22], Operations: []
Exploring Operation: 72-52=20, Resulting Numbers: [91, 22, 20]
Generated Node #2: [91, 22, 20] from Operation: 72-52=20
Current State: 93:[91, 22, 20], Operations: ['72-52=20']
Exploring Operation: 91+22=113, Resulting Numbers: [20, 113]
Generated Node #3: [20, 113] from Operation: 91+22=113
Current State: 93:[20, 113], Operations: ['72-52=20', '91+22=113']
Exploring Operation: 113-20=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
17,
58,
20,
15
] | 100 | [
"17+58=75",
"20*75=1500",
"1500/15=100"
] | Current State: 100:[17, 58, 20, 15], Operations: []
Exploring Operation: 17+58=75, Resulting Numbers: [20, 15, 75]
Generated Node #2: [20, 15, 75] from Operation: 17+58=75
Current State: 100:[20, 15, 75], Operations: ['17+58=75']
Exploring Operation: 20*75=1500, Resulting Numbers: [15, 1500]
Generated Node #3: [15, 1500] from Operation: 20*75=1500
Current State: 100:[15, 1500], Operations: ['17+58=75', '20*75=1500']
Exploring Operation: 1500/15=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
89,
73,
7,
44
] | 92 | [
"89+44=133",
"133/7=19",
"73+19=92"
] | Current State: 92:[89, 73, 7, 44], Operations: []
Exploring Operation: 89+44=133, Resulting Numbers: [73, 7, 133]
Generated Node #2: [73, 7, 133] from Operation: 89+44=133
Current State: 92:[73, 7, 133], Operations: ['89+44=133']
Exploring Operation: 133/7=19, Resulting Numbers: [73, 19]
Generated Node #3: [73, 19] from Operation: 133/7=19
Current State: 92:[73, 19], Operations: ['89+44=133', '133/7=19']
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
14,
29,
85,
59
] | 39 | [
"14*85=1190",
"1190-59=1131",
"1131/29=39"
] | Current State: 39:[14, 29, 85, 59], Operations: []
Exploring Operation: 14*85=1190, Resulting Numbers: [29, 59, 1190]
Generated Node #2: [29, 59, 1190] from Operation: 14*85=1190
Current State: 39:[29, 59, 1190], Operations: ['14*85=1190']
Exploring Operation: 1190-59=1131, Resulting Numbers: [29, 1131]
Generated Node #3: [29, 1131] from Operation: 1190-59=1131
Current State: 39:[29, 1131], Operations: ['14*85=1190', '1190-59=1131']
Exploring Operation: 1131/29=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
87,
32,
25,
93
] | 63 | [
"87-32=55",
"25+93=118",
"118-55=63"
] | Current State: 63:[87, 32, 25, 93], Operations: []
Exploring Operation: 87-32=55, Resulting Numbers: [25, 93, 55]
Generated Node #2: [25, 93, 55] from Operation: 87-32=55
Current State: 63:[25, 93, 55], Operations: ['87-32=55']
Exploring Operation: 25+93=118, Resulting Numbers: [55, 118]
Generated Node #3: [55, 118] from Operation: 25+93=118
Current State: 63:[55, 118], Operations: ['87-32=55', '25+93=118']
Exploring Operation: 118-55=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
24,
4,
4,
52
] | 28 | [
"24+4=28",
"4+52=56",
"56-28=28"
] | Current State: 28:[24, 4, 4, 52], Operations: []
Exploring Operation: 24+4=28, Resulting Numbers: [52, 28]
Generated Node #2: [52, 28] from Operation: 24+4=28
Current State: 28:[52, 28], Operations: ['24+4=28']
Exploring Operation: 4+52=56, Resulting Numbers: [28, 56]
Generated Node #3: [28, 56] from Operation: 4+52=56
Current State: 28:[28, 56], Operations: ['24+4=28', '4+52=56']
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
26,
80,
24,
30
] | 75 | [
"80*24=1920",
"30+1920=1950",
"1950/26=75"
] | Current State: 75:[26, 80, 24, 30], Operations: []
Exploring Operation: 80*24=1920, Resulting Numbers: [26, 30, 1920]
Generated Node #2: [26, 30, 1920] from Operation: 80*24=1920
Current State: 75:[26, 30, 1920], Operations: ['80*24=1920']
Exploring Operation: 30+1920=1950, Resulting Numbers: [26, 1950]
Generated Node #3: [26, 1950] from Operation: 30+1920=1950
Current State: 75:[26, 1950], Operations: ['80*24=1920', '30+1920=1950']
Exploring Operation: 1950/26=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
4,
43,
18,
43
] | 26 | [
"43+18=61",
"43+61=104",
"104/4=26"
] | Current State: 26:[4, 43, 18, 43], Operations: []
Exploring Operation: 43+18=61, Resulting Numbers: [4, 61]
Generated Node #2: [4, 61] from Operation: 43+18=61
Current State: 26:[4, 61], Operations: ['43+18=61']
Exploring Operation: 43+61=104, Resulting Numbers: [4, 104]
Generated Node #3: [4, 104] from Operation: 43+61=104
Current State: 26:[4, 104], Operations: ['43+18=61', '43+61=104']
Exploring Operation: 104/4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
51,
12,
49,
61
] | 27 | [
"51-12=39",
"61-49=12",
"39-12=27"
] | Current State: 27:[51, 12, 49, 61], Operations: []
Exploring Operation: 51-12=39, Resulting Numbers: [49, 61, 39]
Generated Node #2: [49, 61, 39] from Operation: 51-12=39
Current State: 27:[49, 61, 39], Operations: ['51-12=39']
Exploring Operation: 61-49=12, Resulting Numbers: [39, 12]
Generated Node #3: [39, 12] from Operation: 61-49=12
Current State: 27:[39, 12], Operations: ['51-12=39', '61-49=12']
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
13,
35,
1,
2
] | 85 | [
"35+1=36",
"2*36=72",
"13+72=85"
] | Current State: 85:[13, 35, 1, 2], Operations: []
Exploring Operation: 35+1=36, Resulting Numbers: [13, 2, 36]
Generated Node #2: [13, 2, 36] from Operation: 35+1=36
Current State: 85:[13, 2, 36], Operations: ['35+1=36']
Exploring Operation: 2*36=72, Resulting Numbers: [13, 72]
Generated Node #3: [13, 72] from Operation: 2*36=72
Current State: 85:[13, 72], Operations: ['35+1=36', '2*36=72']
Exploring Operation: 13+72=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
47,
78,
72,
96
] | 63 | [
"78-72=6",
"96/6=16",
"47+16=63"
] | Current State: 63:[47, 78, 72, 96], Operations: []
Exploring Operation: 78-72=6, Resulting Numbers: [47, 96, 6]
Generated Node #2: [47, 96, 6] from Operation: 78-72=6
Current State: 63:[47, 96, 6], Operations: ['78-72=6']
Exploring Operation: 96/6=16, Resulting Numbers: [47, 16]
Generated Node #3: [47, 16] from Operation: 96/6=16
Current State: 63:[47, 16], Operations: ['78-72=6', '96/6=16']
Exploring Operation: 47+16=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
75,
85,
20,
18
] | 30 | [
"75*20=1500",
"85*18=1530",
"1530-1500=30"
] | Current State: 30:[75, 85, 20, 18], Operations: []
Exploring Operation: 75*20=1500, Resulting Numbers: [85, 18, 1500]
Generated Node #2: [85, 18, 1500] from Operation: 75*20=1500
Current State: 30:[85, 18, 1500], Operations: ['75*20=1500']
Exploring Operation: 85*18=1530, Resulting Numbers: [1500, 1530]
Generated Node #3: [1500, 1530] from Operation: 85*18=1530
Current State: 30:[1500, 1530], Operations: ['75*20=1500', '85*18=1530']
Exploring Operation: 1530-1500=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
87,
30,
81,
25
] | 49 | [
"87-30=57",
"81+25=106",
"106-57=49"
] | Current State: 49:[87, 30, 81, 25], Operations: []
Exploring Operation: 87-30=57, Resulting Numbers: [81, 25, 57]
Generated Node #2: [81, 25, 57] from Operation: 87-30=57
Current State: 49:[81, 25, 57], Operations: ['87-30=57']
Exploring Operation: 81+25=106, Resulting Numbers: [57, 106]
Generated Node #3: [57, 106] from Operation: 81+25=106
Current State: 49:[57, 106], Operations: ['87-30=57', '81+25=106']
Exploring Operation: 106-57=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
23,
90,
8,
32
] | 91 | [
"90-23=67",
"32-8=24",
"67+24=91"
] | Current State: 91:[23, 90, 8, 32], Operations: []
Exploring Operation: 90-23=67, Resulting Numbers: [8, 32, 67]
Generated Node #2: [8, 32, 67] from Operation: 90-23=67
Current State: 91:[8, 32, 67], Operations: ['90-23=67']
Exploring Operation: 32-8=24, Resulting Numbers: [67, 24]
Generated Node #3: [67, 24] from Operation: 32-8=24
Current State: 91:[67, 24], Operations: ['90-23=67', '32-8=24']
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
53,
3,
14,
23
] | 12 | [
"53-23=30",
"3*14=42",
"42-30=12"
] | Current State: 12:[53, 3, 14, 23], Operations: []
Exploring Operation: 53-23=30, Resulting Numbers: [3, 14, 30]
Generated Node #2: [3, 14, 30] from Operation: 53-23=30
Current State: 12:[3, 14, 30], Operations: ['53-23=30']
Exploring Operation: 3*14=42, Resulting Numbers: [30, 42]
Generated Node #3: [30, 42] from Operation: 3*14=42
Current State: 12:[30, 42], Operations: ['53-23=30', '3*14=42']
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
3,
49,
55,
22
] | 42 | [
"49+55=104",
"22+104=126",
"126/3=42"
] | Current State: 42:[3, 49, 55, 22], Operations: []
Exploring Operation: 49+55=104, Resulting Numbers: [3, 22, 104]
Generated Node #2: [3, 22, 104] from Operation: 49+55=104
Current State: 42:[3, 22, 104], Operations: ['49+55=104']
Exploring Operation: 22+104=126, Resulting Numbers: [3, 126]
Generated Node #3: [3, 126] from Operation: 22+104=126
Current State: 42:[3, 126], Operations: ['49+55=104', '22+104=126']
Exploring Operation: 126/3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
64,
31,
40,
23
] | 88 | [
"64*31=1984",
"40+1984=2024",
"2024/23=88"
] | Current State: 88:[64, 31, 40, 23], Operations: []
Exploring Operation: 64*31=1984, Resulting Numbers: [40, 23, 1984]
Generated Node #2: [40, 23, 1984] from Operation: 64*31=1984
Current State: 88:[40, 23, 1984], Operations: ['64*31=1984']
Exploring Operation: 40+1984=2024, Resulting Numbers: [23, 2024]
Generated Node #3: [23, 2024] from Operation: 40+1984=2024
Current State: 88:[23, 2024], Operations: ['64*31=1984', '40+1984=2024']
Exploring Operation: 2024/23=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
6,
82,
95,
83
] | 88 | [
"82-6=76",
"95-83=12",
"76+12=88"
] | Current State: 88:[6, 82, 95, 83], Operations: []
Exploring Operation: 82-6=76, Resulting Numbers: [95, 83, 76]
Generated Node #2: [95, 83, 76] from Operation: 82-6=76
Current State: 88:[95, 83, 76], Operations: ['82-6=76']
Exploring Operation: 95-83=12, Resulting Numbers: [76, 12]
Generated Node #3: [76, 12] from Operation: 95-83=12
Current State: 88:[76, 12], Operations: ['82-6=76', '95-83=12']
Exploring Operation: 76+12=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
20,
94,
94,
62
] | 41 | [
"62-20=42",
"94/94=1",
"42-1=41"
] | Current State: 41:[20, 94, 94, 62], Operations: []
Exploring Operation: 62-20=42, Resulting Numbers: [94, 94, 42]
Generated Node #2: [94, 94, 42] from Operation: 62-20=42
Current State: 41:[94, 94, 42], Operations: ['62-20=42']
Exploring Operation: 94/94=1, Resulting Numbers: [42, 1]
Generated Node #3: [42, 1] from Operation: 94/94=1
Current State: 41:[42, 1], Operations: ['62-20=42', '94/94=1']
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
35,
73,
80,
78
] | 87 | [
"78-73=5",
"35/5=7",
"80+7=87"
] | Current State: 87:[35, 73, 80, 78], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [35, 80, 5]
Generated Node #2: [35, 80, 5] from Operation: 78-73=5
Current State: 87:[35, 80, 5], Operations: ['78-73=5']
Exploring Operation: 35/5=7, Resulting Numbers: [80, 7]
Generated Node #3: [80, 7] from Operation: 35/5=7
Current State: 87:[80, 7], Operations: ['78-73=5', '35/5=7']
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
50,
18,
78,
41
] | 21 | [
"50+41=91",
"18*91=1638",
"1638/78=21"
] | Current State: 21:[50, 18, 78, 41], Operations: []
Exploring Operation: 50+41=91, Resulting Numbers: [18, 78, 91]
Generated Node #2: [18, 78, 91] from Operation: 50+41=91
Current State: 21:[18, 78, 91], Operations: ['50+41=91']
Exploring Operation: 18*91=1638, Resulting Numbers: [78, 1638]
Generated Node #3: [78, 1638] from Operation: 18*91=1638
Current State: 21:[78, 1638], Operations: ['50+41=91', '18*91=1638']
Exploring Operation: 1638/78=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
41,
64,
32,
82
] | 94 | [
"82/41=2",
"64+32=96",
"96-2=94"
] | Current State: 94:[41, 64, 32, 82], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [64, 32, 2]
Generated Node #2: [64, 32, 2] from Operation: 82/41=2
Current State: 94:[64, 32, 2], Operations: ['82/41=2']
Exploring Operation: 64+32=96, Resulting Numbers: [2, 96]
Generated Node #3: [2, 96] from Operation: 64+32=96
Current State: 94:[2, 96], Operations: ['82/41=2', '64+32=96']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
49,
62,
7,
15
] | 76 | [
"62-49=13",
"7*13=91",
"91-15=76"
] | Current State: 76:[49, 62, 7, 15], Operations: []
Exploring Operation: 62-49=13, Resulting Numbers: [7, 15, 13]
Generated Node #2: [7, 15, 13] from Operation: 62-49=13
Current State: 76:[7, 15, 13], Operations: ['62-49=13']
Exploring Operation: 7*13=91, Resulting Numbers: [15, 91]
Generated Node #3: [15, 91] from Operation: 7*13=91
Current State: 76:[15, 91], Operations: ['62-49=13', '7*13=91']
Exploring Operation: 91-15=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
1,
42,
20,
21
] | 20 | [
"42/21=2",
"2-1=1",
"20*1=20"
] | Current State: 20:[1, 42, 20, 21], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [1, 20, 2]
Generated Node #2: [1, 20, 2] from Operation: 42/21=2
Current State: 20:[1, 20, 2], Operations: ['42/21=2']
Exploring Operation: 2-1=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 2-1=1
Current State: 20:[20, 1], Operations: ['42/21=2', '2-1=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
60,
73,
94,
96
] | 43 | [
"96-94=2",
"60/2=30",
"73-30=43"
] | Current State: 43:[60, 73, 94, 96], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [60, 73, 2]
Generated Node #2: [60, 73, 2] from Operation: 96-94=2
Current State: 43:[60, 73, 2], Operations: ['96-94=2']
Exploring Operation: 60/2=30, Resulting Numbers: [73, 30]
Generated Node #3: [73, 30] from Operation: 60/2=30
Current State: 43:[73, 30], Operations: ['96-94=2', '60/2=30']
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
89,
88,
14,
79
] | 37 | [
"88-79=9",
"14*9=126",
"126-89=37"
] | Current State: 37:[89, 88, 14, 79], Operations: []
Exploring Operation: 88-79=9, Resulting Numbers: [89, 14, 9]
Generated Node #2: [89, 14, 9] from Operation: 88-79=9
Current State: 37:[89, 14, 9], Operations: ['88-79=9']
Exploring Operation: 14*9=126, Resulting Numbers: [89, 126]
Generated Node #3: [89, 126] from Operation: 14*9=126
Current State: 37:[89, 126], Operations: ['88-79=9', '14*9=126']
Exploring Operation: 126-89=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
56,
19,
35,
2
] | 70 | [
"56-19=37",
"35-2=33",
"37+33=70"
] | Current State: 70:[56, 19, 35, 2], Operations: []
Exploring Operation: 56-19=37, Resulting Numbers: [35, 2, 37]
Generated Node #2: [35, 2, 37] from Operation: 56-19=37
Current State: 70:[35, 2, 37], Operations: ['56-19=37']
Exploring Operation: 35-2=33, Resulting Numbers: [37, 33]
Generated Node #3: [37, 33] from Operation: 35-2=33
Current State: 70:[37, 33], Operations: ['56-19=37', '35-2=33']
Exploring Operation: 37+33=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
2,
6,
33,
27
] | 51 | [
"6+33=39",
"2*39=78",
"78-27=51"
] | Current State: 51:[2, 6, 33, 27], Operations: []
Exploring Operation: 6+33=39, Resulting Numbers: [2, 27, 39]
Generated Node #2: [2, 27, 39] from Operation: 6+33=39
Current State: 51:[2, 27, 39], Operations: ['6+33=39']
Exploring Operation: 2*39=78, Resulting Numbers: [27, 78]
Generated Node #3: [27, 78] from Operation: 2*39=78
Current State: 51:[27, 78], Operations: ['6+33=39', '2*39=78']
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
97,
61,
12
] | 85 | [
"97+61=158",
"12+158=170",
"170/2=85"
] | Current State: 85:[2, 97, 61, 12], Operations: []
Exploring Operation: 97+61=158, Resulting Numbers: [2, 12, 158]
Generated Node #2: [2, 12, 158] from Operation: 97+61=158
Current State: 85:[2, 12, 158], Operations: ['97+61=158']
Exploring Operation: 12+158=170, Resulting Numbers: [2, 170]
Generated Node #3: [2, 170] from Operation: 12+158=170
Current State: 85:[2, 170], Operations: ['97+61=158', '12+158=170']
Exploring Operation: 170/2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
76,
97,
81,
65
] | 37 | [
"97-76=21",
"81-65=16",
"21+16=37"
] | Current State: 37:[76, 97, 81, 65], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [81, 65, 21]
Generated Node #2: [81, 65, 21] from Operation: 97-76=21
Current State: 37:[81, 65, 21], Operations: ['97-76=21']
Exploring Operation: 81-65=16, Resulting Numbers: [21, 16]
Generated Node #3: [21, 16] from Operation: 81-65=16
Current State: 37:[21, 16], Operations: ['97-76=21', '81-65=16']
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
89,
83,
16,
2
] | 64 | [
"89-83=6",
"6-2=4",
"16*4=64"
] | Current State: 64:[89, 83, 16, 2], Operations: []
Exploring Operation: 89-83=6, Resulting Numbers: [16, 2, 6]
Generated Node #2: [16, 2, 6] from Operation: 89-83=6
Current State: 64:[16, 2, 6], Operations: ['89-83=6']
Exploring Operation: 6-2=4, Resulting Numbers: [16, 4]
Generated Node #3: [16, 4] from Operation: 6-2=4
Current State: 64:[16, 4], Operations: ['89-83=6', '6-2=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
81,
51,
49,
70
] | 51 | [
"81-51=30",
"70-49=21",
"30+21=51"
] | Current State: 51:[81, 51, 49, 70], Operations: []
Exploring Operation: 81-51=30, Resulting Numbers: [49, 70, 30]
Generated Node #2: [49, 70, 30] from Operation: 81-51=30
Current State: 51:[49, 70, 30], Operations: ['81-51=30']
Exploring Operation: 70-49=21, Resulting Numbers: [30, 21]
Generated Node #3: [30, 21] from Operation: 70-49=21
Current State: 51:[30, 21], Operations: ['81-51=30', '70-49=21']
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
17,
96,
93,
96
] | 93 | [
"96-96=0",
"17*0=0",
"93+0=93"
] | Current State: 93:[17, 96, 93, 96], Operations: []
Exploring Operation: 96-96=0, Resulting Numbers: [17, 93, 0]
Generated Node #2: [17, 93, 0] from Operation: 96-96=0
Current State: 93:[17, 93, 0], Operations: ['96-96=0']
Exploring Operation: 17*0=0, Resulting Numbers: [93, 0]
Generated Node #3: [93, 0] from Operation: 17*0=0
Current State: 93:[93, 0], Operations: ['96-96=0', '17*0=0']
Exploring Operation: 93+0=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
62,
18,
74,
44
] | 73 | [
"62-18=44",
"44/44=1",
"74-1=73"
] | Current State: 73:[62, 18, 74, 44], Operations: []
Exploring Operation: 62-18=44, Resulting Numbers: [74, 44, 44]
Generated Node #2: [74, 44, 44] from Operation: 62-18=44
Current State: 73:[74, 44, 44], Operations: ['62-18=44']
Exploring Operation: 44/44=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 44/44=1
Current State: 73:[74, 1], Operations: ['62-18=44', '44/44=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
61,
71,
12,
73
] | 55 | [
"73-71=2",
"12/2=6",
"61-6=55"
] | Current State: 55:[61, 71, 12, 73], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [61, 12, 2]
Generated Node #2: [61, 12, 2] from Operation: 73-71=2
Current State: 55:[61, 12, 2], Operations: ['73-71=2']
Exploring Operation: 12/2=6, Resulting Numbers: [61, 6]
Generated Node #3: [61, 6] from Operation: 12/2=6
Current State: 55:[61, 6], Operations: ['73-71=2', '12/2=6']
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
8,
17,
6,
10
] | 14 | [
"8-6=2",
"17-10=7",
"2*7=14"
] | Current State: 14:[8, 17, 6, 10], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [17, 10, 2]
Generated Node #2: [17, 10, 2] from Operation: 8-6=2
Current State: 14:[17, 10, 2], Operations: ['8-6=2']
Exploring Operation: 17-10=7, Resulting Numbers: [2, 7]
Generated Node #3: [2, 7] from Operation: 17-10=7
Current State: 14:[2, 7], Operations: ['8-6=2', '17-10=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
79,
31,
65,
31
] | 82 | [
"79-31=48",
"65-31=34",
"48+34=82"
] | Current State: 82:[79, 31, 65, 31], Operations: []
Exploring Operation: 79-31=48, Resulting Numbers: [65, 48]
Generated Node #2: [65, 48] from Operation: 79-31=48
Current State: 82:[65, 48], Operations: ['79-31=48']
Exploring Operation: 65-31=34, Resulting Numbers: [48, 34]
Generated Node #3: [48, 34] from Operation: 65-31=34
Current State: 82:[48, 34], Operations: ['79-31=48', '65-31=34']
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
36,
96,
69,
54
] | 40 | [
"69-54=15",
"96*15=1440",
"1440/36=40"
] | Current State: 40:[36, 96, 69, 54], Operations: []
Exploring Operation: 69-54=15, Resulting Numbers: [36, 96, 15]
Generated Node #2: [36, 96, 15] from Operation: 69-54=15
Current State: 40:[36, 96, 15], Operations: ['69-54=15']
Exploring Operation: 96*15=1440, Resulting Numbers: [36, 1440]
Generated Node #3: [36, 1440] from Operation: 96*15=1440
Current State: 40:[36, 1440], Operations: ['69-54=15', '96*15=1440']
Exploring Operation: 1440/36=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
95,
5,
92,
88
] | 73 | [
"95-92=3",
"5*3=15",
"88-15=73"
] | Current State: 73:[95, 5, 92, 88], Operations: []
Exploring Operation: 95-92=3, Resulting Numbers: [5, 88, 3]
Generated Node #2: [5, 88, 3] from Operation: 95-92=3
Current State: 73:[5, 88, 3], Operations: ['95-92=3']
Exploring Operation: 5*3=15, Resulting Numbers: [88, 15]
Generated Node #3: [88, 15] from Operation: 5*3=15
Current State: 73:[88, 15], Operations: ['95-92=3', '5*3=15']
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
38,
36,
32,
75
] | 59 | [
"38-36=2",
"32/2=16",
"75-16=59"
] | Current State: 59:[38, 36, 32, 75], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [32, 75, 2]
Generated Node #2: [32, 75, 2] from Operation: 38-36=2
Current State: 59:[32, 75, 2], Operations: ['38-36=2']
Exploring Operation: 32/2=16, Resulting Numbers: [75, 16]
Generated Node #3: [75, 16] from Operation: 32/2=16
Current State: 59:[75, 16], Operations: ['38-36=2', '32/2=16']
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
94,
26,
19,
54
] | 47 | [
"94+26=120",
"19+54=73",
"120-73=47"
] | Current State: 47:[94, 26, 19, 54], Operations: []
Exploring Operation: 94+26=120, Resulting Numbers: [19, 54, 120]
Generated Node #2: [19, 54, 120] from Operation: 94+26=120
Current State: 47:[19, 54, 120], Operations: ['94+26=120']
Exploring Operation: 19+54=73, Resulting Numbers: [120, 73]
Generated Node #3: [120, 73] from Operation: 19+54=73
Current State: 47:[120, 73], Operations: ['94+26=120', '19+54=73']
Exploring Operation: 120-73=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
16,
41,
58,
32
] | 86 | [
"41-32=9",
"16*9=144",
"144-58=86"
] | Current State: 86:[16, 41, 58, 32], Operations: []
Exploring Operation: 41-32=9, Resulting Numbers: [16, 58, 9]
Generated Node #2: [16, 58, 9] from Operation: 41-32=9
Current State: 86:[16, 58, 9], Operations: ['41-32=9']
Exploring Operation: 16*9=144, Resulting Numbers: [58, 144]
Generated Node #3: [58, 144] from Operation: 16*9=144
Current State: 86:[58, 144], Operations: ['41-32=9', '16*9=144']
Exploring Operation: 144-58=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
92,
4,
50,
72
] | 60 | [
"92-50=42",
"72/4=18",
"42+18=60"
] | Current State: 60:[92, 4, 50, 72], Operations: []
Exploring Operation: 92-50=42, Resulting Numbers: [4, 72, 42]
Generated Node #2: [4, 72, 42] from Operation: 92-50=42
Current State: 60:[4, 72, 42], Operations: ['92-50=42']
Exploring Operation: 72/4=18, Resulting Numbers: [42, 18]
Generated Node #3: [42, 18] from Operation: 72/4=18
Current State: 60:[42, 18], Operations: ['92-50=42', '72/4=18']
Exploring Operation: 42+18=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
9,
54,
55,
3
] | 76 | [
"9+54=63",
"63/3=21",
"55+21=76"
] | Current State: 76:[9, 54, 55, 3], Operations: []
Exploring Operation: 9+54=63, Resulting Numbers: [55, 3, 63]
Generated Node #2: [55, 3, 63] from Operation: 9+54=63
Current State: 76:[55, 3, 63], Operations: ['9+54=63']
Exploring Operation: 63/3=21, Resulting Numbers: [55, 21]
Generated Node #3: [55, 21] from Operation: 63/3=21
Current State: 76:[55, 21], Operations: ['9+54=63', '63/3=21']
Exploring Operation: 55+21=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
38,
9,
48,
14
] | 76 | [
"48-38=10",
"9*10=90",
"90-14=76"
] | Current State: 76:[38, 9, 48, 14], Operations: []
Exploring Operation: 48-38=10, Resulting Numbers: [9, 14, 10]
Generated Node #2: [9, 14, 10] from Operation: 48-38=10
Current State: 76:[9, 14, 10], Operations: ['48-38=10']
Exploring Operation: 9*10=90, Resulting Numbers: [14, 90]
Generated Node #3: [14, 90] from Operation: 9*10=90
Current State: 76:[14, 90], Operations: ['48-38=10', '9*10=90']
Exploring Operation: 90-14=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
18,
97,
50,
20
] | 52 | [
"18*50=900",
"900/20=45",
"97-45=52"
] | Current State: 52:[18, 97, 50, 20], Operations: []
Exploring Operation: 18*50=900, Resulting Numbers: [97, 20, 900]
Generated Node #2: [97, 20, 900] from Operation: 18*50=900
Current State: 52:[97, 20, 900], Operations: ['18*50=900']
Exploring Operation: 900/20=45, Resulting Numbers: [97, 45]
Generated Node #3: [97, 45] from Operation: 900/20=45
Current State: 52:[97, 45], Operations: ['18*50=900', '900/20=45']
Exploring Operation: 97-45=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
65,
81,
5,
26
] | 94 | [
"65/5=13",
"81+26=107",
"107-13=94"
] | Current State: 94:[65, 81, 5, 26], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [81, 26, 13]
Generated Node #2: [81, 26, 13] from Operation: 65/5=13
Current State: 94:[81, 26, 13], Operations: ['65/5=13']
Exploring Operation: 81+26=107, Resulting Numbers: [13, 107]
Generated Node #3: [13, 107] from Operation: 81+26=107
Current State: 94:[13, 107], Operations: ['65/5=13', '81+26=107']
Exploring Operation: 107-13=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
64,
17,
15,
28
] | 38 | [
"64+17=81",
"15+28=43",
"81-43=38"
] | Current State: 38:[64, 17, 15, 28], Operations: []
Exploring Operation: 64+17=81, Resulting Numbers: [15, 28, 81]
Generated Node #2: [15, 28, 81] from Operation: 64+17=81
Current State: 38:[15, 28, 81], Operations: ['64+17=81']
Exploring Operation: 15+28=43, Resulting Numbers: [81, 43]
Generated Node #3: [81, 43] from Operation: 15+28=43
Current State: 38:[81, 43], Operations: ['64+17=81', '15+28=43']
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
5,
20,
57,
29
] | 53 | [
"5+20=25",
"57-29=28",
"25+28=53"
] | Current State: 53:[5, 20, 57, 29], Operations: []
Exploring Operation: 5+20=25, Resulting Numbers: [57, 29, 25]
Generated Node #2: [57, 29, 25] from Operation: 5+20=25
Current State: 53:[57, 29, 25], Operations: ['5+20=25']
Exploring Operation: 57-29=28, Resulting Numbers: [25, 28]
Generated Node #3: [25, 28] from Operation: 57-29=28
Current State: 53:[25, 28], Operations: ['5+20=25', '57-29=28']
Exploring Operation: 25+28=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
21,
98,
41,
11
] | 92 | [
"21*11=231",
"98+41=139",
"231-139=92"
] | Current State: 92:[21, 98, 41, 11], Operations: []
Exploring Operation: 21*11=231, Resulting Numbers: [98, 41, 231]
Generated Node #2: [98, 41, 231] from Operation: 21*11=231
Current State: 92:[98, 41, 231], Operations: ['21*11=231']
Exploring Operation: 98+41=139, Resulting Numbers: [231, 139]
Generated Node #3: [231, 139] from Operation: 98+41=139
Current State: 92:[231, 139], Operations: ['21*11=231', '98+41=139']
Exploring Operation: 231-139=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
12,
71,
38,
3
] | 48 | [
"12+71=83",
"38-3=35",
"83-35=48"
] | Current State: 48:[12, 71, 38, 3], Operations: []
Exploring Operation: 12+71=83, Resulting Numbers: [38, 3, 83]
Generated Node #2: [38, 3, 83] from Operation: 12+71=83
Current State: 48:[38, 3, 83], Operations: ['12+71=83']
Exploring Operation: 38-3=35, Resulting Numbers: [83, 35]
Generated Node #3: [83, 35] from Operation: 38-3=35
Current State: 48:[83, 35], Operations: ['12+71=83', '38-3=35']
Exploring Operation: 83-35=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
24,
84,
17,
55
] | 22 | [
"84-24=60",
"55-17=38",
"60-38=22"
] | Current State: 22:[24, 84, 17, 55], Operations: []
Exploring Operation: 84-24=60, Resulting Numbers: [17, 55, 60]
Generated Node #2: [17, 55, 60] from Operation: 84-24=60
Current State: 22:[17, 55, 60], Operations: ['84-24=60']
Exploring Operation: 55-17=38, Resulting Numbers: [60, 38]
Generated Node #3: [60, 38] from Operation: 55-17=38
Current State: 22:[60, 38], Operations: ['84-24=60', '55-17=38']
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
25,
45,
55,
62
] | 58 | [
"45+55=100",
"100/25=4",
"62-4=58"
] | Current State: 58:[25, 45, 55, 62], Operations: []
Exploring Operation: 45+55=100, Resulting Numbers: [25, 62, 100]
Generated Node #2: [25, 62, 100] from Operation: 45+55=100
Current State: 58:[25, 62, 100], Operations: ['45+55=100']
Exploring Operation: 100/25=4, Resulting Numbers: [62, 4]
Generated Node #3: [62, 4] from Operation: 100/25=4
Current State: 58:[62, 4], Operations: ['45+55=100', '100/25=4']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
80,
46,
14,
80
] | 33 | [
"80/80=1",
"46-14=32",
"1+32=33"
] | Current State: 33:[80, 46, 14, 80], Operations: []
Exploring Operation: 80/80=1, Resulting Numbers: [46, 14, 1]
Generated Node #2: [46, 14, 1] from Operation: 80/80=1
Current State: 33:[46, 14, 1], Operations: ['80/80=1']
Exploring Operation: 46-14=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 46-14=32
Current State: 33:[1, 32], Operations: ['80/80=1', '46-14=32']
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
87,
6,
2,
42
] | 82 | [
"87+2=89",
"42/6=7",
"89-7=82"
] | Current State: 82:[87, 6, 2, 42], Operations: []
Exploring Operation: 87+2=89, Resulting Numbers: [6, 42, 89]
Generated Node #2: [6, 42, 89] from Operation: 87+2=89
Current State: 82:[6, 42, 89], Operations: ['87+2=89']
Exploring Operation: 42/6=7, Resulting Numbers: [89, 7]
Generated Node #3: [89, 7] from Operation: 42/6=7
Current State: 82:[89, 7], Operations: ['87+2=89', '42/6=7']
Exploring Operation: 89-7=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
98,
89,
4,
66
] | 61 | [
"98-89=9",
"4+66=70",
"70-9=61"
] | Current State: 61:[98, 89, 4, 66], Operations: []
Exploring Operation: 98-89=9, Resulting Numbers: [4, 66, 9]
Generated Node #2: [4, 66, 9] from Operation: 98-89=9
Current State: 61:[4, 66, 9], Operations: ['98-89=9']
Exploring Operation: 4+66=70, Resulting Numbers: [9, 70]
Generated Node #3: [9, 70] from Operation: 4+66=70
Current State: 61:[9, 70], Operations: ['98-89=9', '4+66=70']
Exploring Operation: 70-9=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
6,
75,
1,
28
] | 87 | [
"28-1=27",
"6*27=162",
"162-75=87"
] | Current State: 87:[6, 75, 1, 28], Operations: []
Exploring Operation: 28-1=27, Resulting Numbers: [6, 75, 27]
Generated Node #2: [6, 75, 27] from Operation: 28-1=27
Current State: 87:[6, 75, 27], Operations: ['28-1=27']
Exploring Operation: 6*27=162, Resulting Numbers: [75, 162]
Generated Node #3: [75, 162] from Operation: 6*27=162
Current State: 87:[75, 162], Operations: ['28-1=27', '6*27=162']
Exploring Operation: 162-75=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
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