nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
47,
31,
24,
19
] | 27 | [
"47-31=16",
"24+19=43",
"43-16=27"
] | Current State: 27:[47, 31, 24, 19], Operations: []
Exploring Operation: 47-31=16, Resulting Numbers: [24, 19, 16]
Generated Node #2: [24, 19, 16] from Operation: 47-31=16
Current State: 27:[24, 19, 16], Operations: ['47-31=16']
Exploring Operation: 24+19=43, Resulting Numbers: [16, 43]
Generated Node #3: [16, 43] from Operation: 24+19=43
Current State: 27:[16, 43], Operations: ['47-31=16', '24+19=43']
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
56,
55,
8,
34
] | 43 | [
"56-55=1",
"8+34=42",
"1+42=43"
] | Current State: 43:[56, 55, 8, 34], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [8, 34, 1]
Generated Node #2: [8, 34, 1] from Operation: 56-55=1
Current State: 43:[8, 34, 1], Operations: ['56-55=1']
Exploring Operation: 8+34=42, Resulting Numbers: [1, 42]
Generated Node #3: [1, 42] from Operation: 8+34=42
Current State: 43:[1, 42], Operations: ['56-55=1', '8+34=42']
Exploring Operation: 1+42=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
5,
32,
42,
11
] | 26 | [
"32-5=27",
"42+11=53",
"53-27=26"
] | Current State: 26:[5, 32, 42, 11], Operations: []
Exploring Operation: 32-5=27, Resulting Numbers: [42, 11, 27]
Generated Node #2: [42, 11, 27] from Operation: 32-5=27
Current State: 26:[42, 11, 27], Operations: ['32-5=27']
Exploring Operation: 42+11=53, Resulting Numbers: [27, 53]
Generated Node #3: [27, 53] from Operation: 42+11=53
Current State: 26:[27, 53], Operations: ['32-5=27', '42+11=53']
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
18,
46,
20,
51
] | 33 | [
"18+46=64",
"51-20=31",
"64-31=33"
] | Current State: 33:[18, 46, 20, 51], Operations: []
Exploring Operation: 18+46=64, Resulting Numbers: [20, 51, 64]
Generated Node #2: [20, 51, 64] from Operation: 18+46=64
Current State: 33:[20, 51, 64], Operations: ['18+46=64']
Exploring Operation: 51-20=31, Resulting Numbers: [64, 31]
Generated Node #3: [64, 31] from Operation: 51-20=31
Current State: 33:[64, 31], Operations: ['18+46=64', '51-20=31']
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
54,
36,
78,
42
] | 41 | [
"42-36=6",
"78/6=13",
"54-13=41"
] | Current State: 41:[54, 36, 78, 42], Operations: []
Exploring Operation: 42-36=6, Resulting Numbers: [54, 78, 6]
Generated Node #2: [54, 78, 6] from Operation: 42-36=6
Current State: 41:[54, 78, 6], Operations: ['42-36=6']
Exploring Operation: 78/6=13, Resulting Numbers: [54, 13]
Generated Node #3: [54, 13] from Operation: 78/6=13
Current State: 41:[54, 13], Operations: ['42-36=6', '78/6=13']
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
8,
78,
17,
12
] | 75 | [
"78-8=70",
"17-12=5",
"70+5=75"
] | Current State: 75:[8, 78, 17, 12], Operations: []
Exploring Operation: 78-8=70, Resulting Numbers: [17, 12, 70]
Generated Node #2: [17, 12, 70] from Operation: 78-8=70
Current State: 75:[17, 12, 70], Operations: ['78-8=70']
Exploring Operation: 17-12=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 17-12=5
Current State: 75:[70, 5], Operations: ['78-8=70', '17-12=5']
Exploring Operation: 70+5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
13,
54,
24,
13
] | 79 | [
"13/13=1",
"54+24=78",
"1+78=79"
] | Current State: 79:[13, 54, 24, 13], Operations: []
Exploring Operation: 13/13=1, Resulting Numbers: [54, 24, 1]
Generated Node #2: [54, 24, 1] from Operation: 13/13=1
Current State: 79:[54, 24, 1], Operations: ['13/13=1']
Exploring Operation: 54+24=78, Resulting Numbers: [1, 78]
Generated Node #3: [1, 78] from Operation: 54+24=78
Current State: 79:[1, 78], Operations: ['13/13=1', '54+24=78']
Exploring Operation: 1+78=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
74,
88,
9,
57
] | 52 | [
"88-74=14",
"9+57=66",
"66-14=52"
] | Current State: 52:[74, 88, 9, 57], Operations: []
Exploring Operation: 88-74=14, Resulting Numbers: [9, 57, 14]
Generated Node #2: [9, 57, 14] from Operation: 88-74=14
Current State: 52:[9, 57, 14], Operations: ['88-74=14']
Exploring Operation: 9+57=66, Resulting Numbers: [14, 66]
Generated Node #3: [14, 66] from Operation: 9+57=66
Current State: 52:[14, 66], Operations: ['88-74=14', '9+57=66']
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
42,
71,
21,
46
] | 88 | [
"42+71=113",
"46-21=25",
"113-25=88"
] | Current State: 88:[42, 71, 21, 46], Operations: []
Exploring Operation: 42+71=113, Resulting Numbers: [21, 46, 113]
Generated Node #2: [21, 46, 113] from Operation: 42+71=113
Current State: 88:[21, 46, 113], Operations: ['42+71=113']
Exploring Operation: 46-21=25, Resulting Numbers: [113, 25]
Generated Node #3: [113, 25] from Operation: 46-21=25
Current State: 88:[113, 25], Operations: ['42+71=113', '46-21=25']
Exploring Operation: 113-25=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
73,
69,
74,
29
] | 98 | [
"74-73=1",
"69+29=98",
"1*98=98"
] | Current State: 98:[73, 69, 74, 29], Operations: []
Exploring Operation: 74-73=1, Resulting Numbers: [69, 29, 1]
Generated Node #2: [69, 29, 1] from Operation: 74-73=1
Current State: 98:[69, 29, 1], Operations: ['74-73=1']
Exploring Operation: 69+29=98, Resulting Numbers: [1, 98]
Generated Node #3: [1, 98] from Operation: 69+29=98
Current State: 98:[1, 98], Operations: ['74-73=1', '69+29=98']
Exploring Operation: 1*98=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
31,
24,
19,
38
] | 50 | [
"31-24=7",
"19+38=57",
"57-7=50"
] | Current State: 50:[31, 24, 19, 38], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [19, 38, 7]
Generated Node #2: [19, 38, 7] from Operation: 31-24=7
Current State: 50:[19, 38, 7], Operations: ['31-24=7']
Exploring Operation: 19+38=57, Resulting Numbers: [7, 57]
Generated Node #3: [7, 57] from Operation: 19+38=57
Current State: 50:[7, 57], Operations: ['31-24=7', '19+38=57']
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
92,
80,
38,
38
] | 11 | [
"92-80=12",
"38/38=1",
"12-1=11"
] | Current State: 11:[92, 80, 38, 38], Operations: []
Exploring Operation: 92-80=12, Resulting Numbers: [38, 38, 12]
Generated Node #2: [38, 38, 12] from Operation: 92-80=12
Current State: 11:[38, 38, 12], Operations: ['92-80=12']
Exploring Operation: 38/38=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 38/38=1
Current State: 11:[12, 1], Operations: ['92-80=12', '38/38=1']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
9,
73,
47,
23
] | 88 | [
"73-9=64",
"47-23=24",
"64+24=88"
] | Current State: 88:[9, 73, 47, 23], Operations: []
Exploring Operation: 73-9=64, Resulting Numbers: [47, 23, 64]
Generated Node #2: [47, 23, 64] from Operation: 73-9=64
Current State: 88:[47, 23, 64], Operations: ['73-9=64']
Exploring Operation: 47-23=24, Resulting Numbers: [64, 24]
Generated Node #3: [64, 24] from Operation: 47-23=24
Current State: 88:[64, 24], Operations: ['73-9=64', '47-23=24']
Exploring Operation: 64+24=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
4,
6,
64,
85
] | 75 | [
"64-4=60",
"60/6=10",
"85-10=75"
] | Current State: 75:[4, 6, 64, 85], Operations: []
Exploring Operation: 64-4=60, Resulting Numbers: [6, 85, 60]
Generated Node #2: [6, 85, 60] from Operation: 64-4=60
Current State: 75:[6, 85, 60], Operations: ['64-4=60']
Exploring Operation: 60/6=10, Resulting Numbers: [85, 10]
Generated Node #3: [85, 10] from Operation: 60/6=10
Current State: 75:[85, 10], Operations: ['64-4=60', '60/6=10']
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
70,
46,
40,
71
] | 86 | [
"71-70=1",
"46+40=86",
"1*86=86"
] | Current State: 86:[70, 46, 40, 71], Operations: []
Exploring Operation: 71-70=1, Resulting Numbers: [46, 40, 1]
Generated Node #2: [46, 40, 1] from Operation: 71-70=1
Current State: 86:[46, 40, 1], Operations: ['71-70=1']
Exploring Operation: 46+40=86, Resulting Numbers: [1, 86]
Generated Node #3: [1, 86] from Operation: 46+40=86
Current State: 86:[1, 86], Operations: ['71-70=1', '46+40=86']
Exploring Operation: 1*86=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
75,
2,
83,
44
] | 23 | [
"75*2=150",
"83+44=127",
"150-127=23"
] | Current State: 23:[75, 2, 83, 44], Operations: []
Exploring Operation: 75*2=150, Resulting Numbers: [83, 44, 150]
Generated Node #2: [83, 44, 150] from Operation: 75*2=150
Current State: 23:[83, 44, 150], Operations: ['75*2=150']
Exploring Operation: 83+44=127, Resulting Numbers: [150, 127]
Generated Node #3: [150, 127] from Operation: 83+44=127
Current State: 23:[150, 127], Operations: ['75*2=150', '83+44=127']
Exploring Operation: 150-127=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
17,
37,
48,
80
] | 44 | [
"37-17=20",
"80/20=4",
"48-4=44"
] | Current State: 44:[17, 37, 48, 80], Operations: []
Exploring Operation: 37-17=20, Resulting Numbers: [48, 80, 20]
Generated Node #2: [48, 80, 20] from Operation: 37-17=20
Current State: 44:[48, 80, 20], Operations: ['37-17=20']
Exploring Operation: 80/20=4, Resulting Numbers: [48, 4]
Generated Node #3: [48, 4] from Operation: 80/20=4
Current State: 44:[48, 4], Operations: ['37-17=20', '80/20=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
13,
10,
48,
78
] | 62 | [
"13-10=3",
"48/3=16",
"78-16=62"
] | Current State: 62:[13, 10, 48, 78], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [48, 78, 3]
Generated Node #2: [48, 78, 3] from Operation: 13-10=3
Current State: 62:[48, 78, 3], Operations: ['13-10=3']
Exploring Operation: 48/3=16, Resulting Numbers: [78, 16]
Generated Node #3: [78, 16] from Operation: 48/3=16
Current State: 62:[78, 16], Operations: ['13-10=3', '48/3=16']
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
86,
68,
44,
10
] | 18 | [
"86*10=860",
"860-68=792",
"792/44=18"
] | Current State: 18:[86, 68, 44, 10], Operations: []
Exploring Operation: 86*10=860, Resulting Numbers: [68, 44, 860]
Generated Node #2: [68, 44, 860] from Operation: 86*10=860
Current State: 18:[68, 44, 860], Operations: ['86*10=860']
Exploring Operation: 860-68=792, Resulting Numbers: [44, 792]
Generated Node #3: [44, 792] from Operation: 860-68=792
Current State: 18:[44, 792], Operations: ['86*10=860', '860-68=792']
Exploring Operation: 792/44=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
42,
7,
90,
52
] | 84 | [
"42*90=3780",
"52-7=45",
"3780/45=84"
] | Current State: 84:[42, 7, 90, 52], Operations: []
Exploring Operation: 42*90=3780, Resulting Numbers: [7, 52, 3780]
Generated Node #2: [7, 52, 3780] from Operation: 42*90=3780
Current State: 84:[7, 52, 3780], Operations: ['42*90=3780']
Exploring Operation: 52-7=45, Resulting Numbers: [3780, 45]
Generated Node #3: [3780, 45] from Operation: 52-7=45
Current State: 84:[3780, 45], Operations: ['42*90=3780', '52-7=45']
Exploring Operation: 3780/45=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
96,
11,
30,
33
] | 86 | [
"11*30=330",
"330/33=10",
"96-10=86"
] | Current State: 86:[96, 11, 30, 33], Operations: []
Exploring Operation: 11*30=330, Resulting Numbers: [96, 33, 330]
Generated Node #2: [96, 33, 330] from Operation: 11*30=330
Current State: 86:[96, 33, 330], Operations: ['11*30=330']
Exploring Operation: 330/33=10, Resulting Numbers: [96, 10]
Generated Node #3: [96, 10] from Operation: 330/33=10
Current State: 86:[96, 10], Operations: ['11*30=330', '330/33=10']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
46,
8,
66,
3
] | 84 | [
"46+8=54",
"54/3=18",
"66+18=84"
] | Current State: 84:[46, 8, 66, 3], Operations: []
Exploring Operation: 46+8=54, Resulting Numbers: [66, 3, 54]
Generated Node #2: [66, 3, 54] from Operation: 46+8=54
Current State: 84:[66, 3, 54], Operations: ['46+8=54']
Exploring Operation: 54/3=18, Resulting Numbers: [66, 18]
Generated Node #3: [66, 18] from Operation: 54/3=18
Current State: 84:[66, 18], Operations: ['46+8=54', '54/3=18']
Exploring Operation: 66+18=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
21,
78,
41,
43
] | 41 | [
"21*78=1638",
"43+1638=1681",
"1681/41=41"
] | Current State: 41:[21, 78, 41, 43], Operations: []
Exploring Operation: 21*78=1638, Resulting Numbers: [41, 43, 1638]
Generated Node #2: [41, 43, 1638] from Operation: 21*78=1638
Current State: 41:[41, 43, 1638], Operations: ['21*78=1638']
Exploring Operation: 43+1638=1681, Resulting Numbers: [41, 1681]
Generated Node #3: [41, 1681] from Operation: 43+1638=1681
Current State: 41:[41, 1681], Operations: ['21*78=1638', '43+1638=1681']
Exploring Operation: 1681/41=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
63,
8,
88,
92
] | 51 | [
"63-8=55",
"92-88=4",
"55-4=51"
] | Current State: 51:[63, 8, 88, 92], Operations: []
Exploring Operation: 63-8=55, Resulting Numbers: [88, 92, 55]
Generated Node #2: [88, 92, 55] from Operation: 63-8=55
Current State: 51:[88, 92, 55], Operations: ['63-8=55']
Exploring Operation: 92-88=4, Resulting Numbers: [55, 4]
Generated Node #3: [55, 4] from Operation: 92-88=4
Current State: 51:[55, 4], Operations: ['63-8=55', '92-88=4']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
26,
73,
54,
26
] | 75 | [
"73-26=47",
"54-26=28",
"47+28=75"
] | Current State: 75:[26, 73, 54, 26], Operations: []
Exploring Operation: 73-26=47, Resulting Numbers: [54, 47]
Generated Node #2: [54, 47] from Operation: 73-26=47
Current State: 75:[54, 47], Operations: ['73-26=47']
Exploring Operation: 54-26=28, Resulting Numbers: [47, 28]
Generated Node #3: [47, 28] from Operation: 54-26=28
Current State: 75:[47, 28], Operations: ['73-26=47', '54-26=28']
Exploring Operation: 47+28=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
55,
61,
66,
36
] | 14 | [
"55+61=116",
"66+36=102",
"116-102=14"
] | Current State: 14:[55, 61, 66, 36], Operations: []
Exploring Operation: 55+61=116, Resulting Numbers: [66, 36, 116]
Generated Node #2: [66, 36, 116] from Operation: 55+61=116
Current State: 14:[66, 36, 116], Operations: ['55+61=116']
Exploring Operation: 66+36=102, Resulting Numbers: [116, 102]
Generated Node #3: [116, 102] from Operation: 66+36=102
Current State: 14:[116, 102], Operations: ['55+61=116', '66+36=102']
Exploring Operation: 116-102=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
79,
61,
84,
45
] | 21 | [
"79-61=18",
"84-45=39",
"39-18=21"
] | Current State: 21:[79, 61, 84, 45], Operations: []
Exploring Operation: 79-61=18, Resulting Numbers: [84, 45, 18]
Generated Node #2: [84, 45, 18] from Operation: 79-61=18
Current State: 21:[84, 45, 18], Operations: ['79-61=18']
Exploring Operation: 84-45=39, Resulting Numbers: [18, 39]
Generated Node #3: [18, 39] from Operation: 84-45=39
Current State: 21:[18, 39], Operations: ['79-61=18', '84-45=39']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
76,
19,
42,
6
] | 62 | [
"42-19=23",
"6*23=138",
"138-76=62"
] | Current State: 62:[76, 19, 42, 6], Operations: []
Exploring Operation: 42-19=23, Resulting Numbers: [76, 6, 23]
Generated Node #2: [76, 6, 23] from Operation: 42-19=23
Current State: 62:[76, 6, 23], Operations: ['42-19=23']
Exploring Operation: 6*23=138, Resulting Numbers: [76, 138]
Generated Node #3: [76, 138] from Operation: 6*23=138
Current State: 62:[76, 138], Operations: ['42-19=23', '6*23=138']
Exploring Operation: 138-76=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
75,
58,
19,
4
] | 59 | [
"75-58=17",
"19*4=76",
"76-17=59"
] | Current State: 59:[75, 58, 19, 4], Operations: []
Exploring Operation: 75-58=17, Resulting Numbers: [19, 4, 17]
Generated Node #2: [19, 4, 17] from Operation: 75-58=17
Current State: 59:[19, 4, 17], Operations: ['75-58=17']
Exploring Operation: 19*4=76, Resulting Numbers: [17, 76]
Generated Node #3: [17, 76] from Operation: 19*4=76
Current State: 59:[17, 76], Operations: ['75-58=17', '19*4=76']
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
9,
98,
23,
23
] | 98 | [
"23-23=0",
"9*0=0",
"98+0=98"
] | Current State: 98:[9, 98, 23, 23], Operations: []
Exploring Operation: 23-23=0, Resulting Numbers: [9, 98, 0]
Generated Node #2: [9, 98, 0] from Operation: 23-23=0
Current State: 98:[9, 98, 0], Operations: ['23-23=0']
Exploring Operation: 9*0=0, Resulting Numbers: [98, 0]
Generated Node #3: [98, 0] from Operation: 9*0=0
Current State: 98:[98, 0], Operations: ['23-23=0', '9*0=0']
Exploring Operation: 98+0=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
3,
64,
22,
84
] | 46 | [
"3*22=66",
"84-64=20",
"66-20=46"
] | Current State: 46:[3, 64, 22, 84], Operations: []
Exploring Operation: 3*22=66, Resulting Numbers: [64, 84, 66]
Generated Node #2: [64, 84, 66] from Operation: 3*22=66
Current State: 46:[64, 84, 66], Operations: ['3*22=66']
Exploring Operation: 84-64=20, Resulting Numbers: [66, 20]
Generated Node #3: [66, 20] from Operation: 84-64=20
Current State: 46:[66, 20], Operations: ['3*22=66', '84-64=20']
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
75,
18,
5,
42
] | 30 | [
"75-5=70",
"18*70=1260",
"1260/42=30"
] | Current State: 30:[75, 18, 5, 42], Operations: []
Exploring Operation: 75-5=70, Resulting Numbers: [18, 42, 70]
Generated Node #2: [18, 42, 70] from Operation: 75-5=70
Current State: 30:[18, 42, 70], Operations: ['75-5=70']
Exploring Operation: 18*70=1260, Resulting Numbers: [42, 1260]
Generated Node #3: [42, 1260] from Operation: 18*70=1260
Current State: 30:[42, 1260], Operations: ['75-5=70', '18*70=1260']
Exploring Operation: 1260/42=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
9,
1,
5,
81
] | 79 | [
"9+1=10",
"10/5=2",
"81-2=79"
] | Current State: 79:[9, 1, 5, 81], Operations: []
Exploring Operation: 9+1=10, Resulting Numbers: [5, 81, 10]
Generated Node #2: [5, 81, 10] from Operation: 9+1=10
Current State: 79:[5, 81, 10], Operations: ['9+1=10']
Exploring Operation: 10/5=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 10/5=2
Current State: 79:[81, 2], Operations: ['9+1=10', '10/5=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
2,
44,
11,
81
] | 68 | [
"44+11=55",
"81+55=136",
"136/2=68"
] | Current State: 68:[2, 44, 11, 81], Operations: []
Exploring Operation: 44+11=55, Resulting Numbers: [2, 81, 55]
Generated Node #2: [2, 81, 55] from Operation: 44+11=55
Current State: 68:[2, 81, 55], Operations: ['44+11=55']
Exploring Operation: 81+55=136, Resulting Numbers: [2, 136]
Generated Node #3: [2, 136] from Operation: 81+55=136
Current State: 68:[2, 136], Operations: ['44+11=55', '81+55=136']
Exploring Operation: 136/2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
1,
64,
35,
70
] | 98 | [
"64-1=63",
"70-35=35",
"63+35=98"
] | Current State: 98:[1, 64, 35, 70], Operations: []
Exploring Operation: 64-1=63, Resulting Numbers: [35, 70, 63]
Generated Node #2: [35, 70, 63] from Operation: 64-1=63
Current State: 98:[35, 70, 63], Operations: ['64-1=63']
Exploring Operation: 70-35=35, Resulting Numbers: [63, 35]
Generated Node #3: [63, 35] from Operation: 70-35=35
Current State: 98:[63, 35], Operations: ['64-1=63', '70-35=35']
Exploring Operation: 63+35=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
47,
80,
27,
65
] | 71 | [
"80-47=33",
"65-27=38",
"33+38=71"
] | Current State: 71:[47, 80, 27, 65], Operations: []
Exploring Operation: 80-47=33, Resulting Numbers: [27, 65, 33]
Generated Node #2: [27, 65, 33] from Operation: 80-47=33
Current State: 71:[27, 65, 33], Operations: ['80-47=33']
Exploring Operation: 65-27=38, Resulting Numbers: [33, 38]
Generated Node #3: [33, 38] from Operation: 65-27=38
Current State: 71:[33, 38], Operations: ['80-47=33', '65-27=38']
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
35,
1,
6,
32
] | 12 | [
"35-1=34",
"34-32=2",
"6*2=12"
] | Current State: 12:[35, 1, 6, 32], Operations: []
Exploring Operation: 35-1=34, Resulting Numbers: [6, 32, 34]
Generated Node #2: [6, 32, 34] from Operation: 35-1=34
Current State: 12:[6, 32, 34], Operations: ['35-1=34']
Exploring Operation: 34-32=2, Resulting Numbers: [6, 2]
Generated Node #3: [6, 2] from Operation: 34-32=2
Current State: 12:[6, 2], Operations: ['35-1=34', '34-32=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
8,
25,
30,
42
] | 99 | [
"25*30=750",
"42+750=792",
"792/8=99"
] | Current State: 99:[8, 25, 30, 42], Operations: []
Exploring Operation: 25*30=750, Resulting Numbers: [8, 42, 750]
Generated Node #2: [8, 42, 750] from Operation: 25*30=750
Current State: 99:[8, 42, 750], Operations: ['25*30=750']
Exploring Operation: 42+750=792, Resulting Numbers: [8, 792]
Generated Node #3: [8, 792] from Operation: 42+750=792
Current State: 99:[8, 792], Operations: ['25*30=750', '42+750=792']
Exploring Operation: 792/8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
78,
85,
95,
36
] | 41 | [
"95-78=17",
"85/17=5",
"36+5=41"
] | Current State: 41:[78, 85, 95, 36], Operations: []
Exploring Operation: 95-78=17, Resulting Numbers: [85, 36, 17]
Generated Node #2: [85, 36, 17] from Operation: 95-78=17
Current State: 41:[85, 36, 17], Operations: ['95-78=17']
Exploring Operation: 85/17=5, Resulting Numbers: [36, 5]
Generated Node #3: [36, 5] from Operation: 85/17=5
Current State: 41:[36, 5], Operations: ['95-78=17', '85/17=5']
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
5,
87,
80,
80
] | 81 | [
"87-5=82",
"80/80=1",
"82-1=81"
] | Current State: 81:[5, 87, 80, 80], Operations: []
Exploring Operation: 87-5=82, Resulting Numbers: [80, 80, 82]
Generated Node #2: [80, 80, 82] from Operation: 87-5=82
Current State: 81:[80, 80, 82], Operations: ['87-5=82']
Exploring Operation: 80/80=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 80/80=1
Current State: 81:[82, 1], Operations: ['87-5=82', '80/80=1']
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
75,
58,
77,
36
] | 76 | [
"77-75=2",
"36/2=18",
"58+18=76"
] | Current State: 76:[75, 58, 77, 36], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [58, 36, 2]
Generated Node #2: [58, 36, 2] from Operation: 77-75=2
Current State: 76:[58, 36, 2], Operations: ['77-75=2']
Exploring Operation: 36/2=18, Resulting Numbers: [58, 18]
Generated Node #3: [58, 18] from Operation: 36/2=18
Current State: 76:[58, 18], Operations: ['77-75=2', '36/2=18']
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
74,
73,
49,
71
] | 86 | [
"73-71=2",
"74/2=37",
"49+37=86"
] | Current State: 86:[74, 73, 49, 71], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [74, 49, 2]
Generated Node #2: [74, 49, 2] from Operation: 73-71=2
Current State: 86:[74, 49, 2], Operations: ['73-71=2']
Exploring Operation: 74/2=37, Resulting Numbers: [49, 37]
Generated Node #3: [49, 37] from Operation: 74/2=37
Current State: 86:[49, 37], Operations: ['73-71=2', '74/2=37']
Exploring Operation: 49+37=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
75,
54,
24,
75
] | 72 | [
"75-54=21",
"75-24=51",
"21+51=72"
] | Current State: 72:[75, 54, 24, 75], Operations: []
Exploring Operation: 75-54=21, Resulting Numbers: [24, 21]
Generated Node #2: [24, 21] from Operation: 75-54=21
Current State: 72:[24, 21], Operations: ['75-54=21']
Exploring Operation: 75-24=51, Resulting Numbers: [21, 51]
Generated Node #3: [21, 51] from Operation: 75-24=51
Current State: 72:[21, 51], Operations: ['75-54=21', '75-24=51']
Exploring Operation: 21+51=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
21,
6,
24,
39
] | 21 | [
"24-21=3",
"6*3=18",
"39-18=21"
] | Current State: 21:[21, 6, 24, 39], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [6, 39, 3]
Generated Node #2: [6, 39, 3] from Operation: 24-21=3
Current State: 21:[6, 39, 3], Operations: ['24-21=3']
Exploring Operation: 6*3=18, Resulting Numbers: [39, 18]
Generated Node #3: [39, 18] from Operation: 6*3=18
Current State: 21:[39, 18], Operations: ['24-21=3', '6*3=18']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
97,
19,
88,
44
] | 54 | [
"97-19=78",
"88+44=132",
"132-78=54"
] | Current State: 54:[97, 19, 88, 44], Operations: []
Exploring Operation: 97-19=78, Resulting Numbers: [88, 44, 78]
Generated Node #2: [88, 44, 78] from Operation: 97-19=78
Current State: 54:[88, 44, 78], Operations: ['97-19=78']
Exploring Operation: 88+44=132, Resulting Numbers: [78, 132]
Generated Node #3: [78, 132] from Operation: 88+44=132
Current State: 54:[78, 132], Operations: ['97-19=78', '88+44=132']
Exploring Operation: 132-78=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
44,
86,
46,
30
] | 73 | [
"46-44=2",
"86/2=43",
"30+43=73"
] | Current State: 73:[44, 86, 46, 30], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [86, 30, 2]
Generated Node #2: [86, 30, 2] from Operation: 46-44=2
Current State: 73:[86, 30, 2], Operations: ['46-44=2']
Exploring Operation: 86/2=43, Resulting Numbers: [30, 43]
Generated Node #3: [30, 43] from Operation: 86/2=43
Current State: 73:[30, 43], Operations: ['46-44=2', '86/2=43']
Exploring Operation: 30+43=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
16,
90,
21,
55
] | 72 | [
"16+90=106",
"55-21=34",
"106-34=72"
] | Current State: 72:[16, 90, 21, 55], Operations: []
Exploring Operation: 16+90=106, Resulting Numbers: [21, 55, 106]
Generated Node #2: [21, 55, 106] from Operation: 16+90=106
Current State: 72:[21, 55, 106], Operations: ['16+90=106']
Exploring Operation: 55-21=34, Resulting Numbers: [106, 34]
Generated Node #3: [106, 34] from Operation: 55-21=34
Current State: 72:[106, 34], Operations: ['16+90=106', '55-21=34']
Exploring Operation: 106-34=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
64,
27,
10,
77
] | 79 | [
"64-10=54",
"54/27=2",
"77+2=79"
] | Current State: 79:[64, 27, 10, 77], Operations: []
Exploring Operation: 64-10=54, Resulting Numbers: [27, 77, 54]
Generated Node #2: [27, 77, 54] from Operation: 64-10=54
Current State: 79:[27, 77, 54], Operations: ['64-10=54']
Exploring Operation: 54/27=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 54/27=2
Current State: 79:[77, 2], Operations: ['64-10=54', '54/27=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
15,
75,
10,
45
] | 78 | [
"45-15=30",
"30/10=3",
"75+3=78"
] | Current State: 78:[15, 75, 10, 45], Operations: []
Exploring Operation: 45-15=30, Resulting Numbers: [75, 10, 30]
Generated Node #2: [75, 10, 30] from Operation: 45-15=30
Current State: 78:[75, 10, 30], Operations: ['45-15=30']
Exploring Operation: 30/10=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 30/10=3
Current State: 78:[75, 3], Operations: ['45-15=30', '30/10=3']
Exploring Operation: 75+3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
99,
2,
79,
26
] | 72 | [
"99-79=20",
"2*26=52",
"20+52=72"
] | Current State: 72:[99, 2, 79, 26], Operations: []
Exploring Operation: 99-79=20, Resulting Numbers: [2, 26, 20]
Generated Node #2: [2, 26, 20] from Operation: 99-79=20
Current State: 72:[2, 26, 20], Operations: ['99-79=20']
Exploring Operation: 2*26=52, Resulting Numbers: [20, 52]
Generated Node #3: [20, 52] from Operation: 2*26=52
Current State: 72:[20, 52], Operations: ['99-79=20', '2*26=52']
Exploring Operation: 20+52=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
8,
47,
51,
55
] | 43 | [
"47-8=39",
"55-51=4",
"39+4=43"
] | Current State: 43:[8, 47, 51, 55], Operations: []
Exploring Operation: 47-8=39, Resulting Numbers: [51, 55, 39]
Generated Node #2: [51, 55, 39] from Operation: 47-8=39
Current State: 43:[51, 55, 39], Operations: ['47-8=39']
Exploring Operation: 55-51=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 55-51=4
Current State: 43:[39, 4], Operations: ['47-8=39', '55-51=4']
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
27,
53,
91,
95
] | 84 | [
"27+53=80",
"95-91=4",
"80+4=84"
] | Current State: 84:[27, 53, 91, 95], Operations: []
Exploring Operation: 27+53=80, Resulting Numbers: [91, 95, 80]
Generated Node #2: [91, 95, 80] from Operation: 27+53=80
Current State: 84:[91, 95, 80], Operations: ['27+53=80']
Exploring Operation: 95-91=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 95-91=4
Current State: 84:[80, 4], Operations: ['27+53=80', '95-91=4']
Exploring Operation: 80+4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
24,
82,
31,
17
] | 37 | [
"31-24=7",
"17*7=119",
"119-82=37"
] | Current State: 37:[24, 82, 31, 17], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [82, 17, 7]
Generated Node #2: [82, 17, 7] from Operation: 31-24=7
Current State: 37:[82, 17, 7], Operations: ['31-24=7']
Exploring Operation: 17*7=119, Resulting Numbers: [82, 119]
Generated Node #3: [82, 119] from Operation: 17*7=119
Current State: 37:[82, 119], Operations: ['31-24=7', '17*7=119']
Exploring Operation: 119-82=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
50,
14,
53,
44
] | 86 | [
"53-50=3",
"14*3=42",
"44+42=86"
] | Current State: 86:[50, 14, 53, 44], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [14, 44, 3]
Generated Node #2: [14, 44, 3] from Operation: 53-50=3
Current State: 86:[14, 44, 3], Operations: ['53-50=3']
Exploring Operation: 14*3=42, Resulting Numbers: [44, 42]
Generated Node #3: [44, 42] from Operation: 14*3=42
Current State: 86:[44, 42], Operations: ['53-50=3', '14*3=42']
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
80,
51,
5,
47
] | 80 | [
"51-5=46",
"47-46=1",
"80*1=80"
] | Current State: 80:[80, 51, 5, 47], Operations: []
Exploring Operation: 51-5=46, Resulting Numbers: [80, 47, 46]
Generated Node #2: [80, 47, 46] from Operation: 51-5=46
Current State: 80:[80, 47, 46], Operations: ['51-5=46']
Exploring Operation: 47-46=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 47-46=1
Current State: 80:[80, 1], Operations: ['51-5=46', '47-46=1']
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
4,
73,
33,
7
] | 13 | [
"73+7=80",
"80/4=20",
"33-20=13"
] | Current State: 13:[4, 73, 33, 7], Operations: []
Exploring Operation: 73+7=80, Resulting Numbers: [4, 33, 80]
Generated Node #2: [4, 33, 80] from Operation: 73+7=80
Current State: 13:[4, 33, 80], Operations: ['73+7=80']
Exploring Operation: 80/4=20, Resulting Numbers: [33, 20]
Generated Node #3: [33, 20] from Operation: 80/4=20
Current State: 13:[33, 20], Operations: ['73+7=80', '80/4=20']
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
50,
53,
13,
14
] | 79 | [
"50+53=103",
"13*14=182",
"182-103=79"
] | Current State: 79:[50, 53, 13, 14], Operations: []
Exploring Operation: 50+53=103, Resulting Numbers: [13, 14, 103]
Generated Node #2: [13, 14, 103] from Operation: 50+53=103
Current State: 79:[13, 14, 103], Operations: ['50+53=103']
Exploring Operation: 13*14=182, Resulting Numbers: [103, 182]
Generated Node #3: [103, 182] from Operation: 13*14=182
Current State: 79:[103, 182], Operations: ['50+53=103', '13*14=182']
Exploring Operation: 182-103=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
89,
15,
95,
20
] | 94 | [
"95-20=75",
"75/15=5",
"89+5=94"
] | Current State: 94:[89, 15, 95, 20], Operations: []
Exploring Operation: 95-20=75, Resulting Numbers: [89, 15, 75]
Generated Node #2: [89, 15, 75] from Operation: 95-20=75
Current State: 94:[89, 15, 75], Operations: ['95-20=75']
Exploring Operation: 75/15=5, Resulting Numbers: [89, 5]
Generated Node #3: [89, 5] from Operation: 75/15=5
Current State: 94:[89, 5], Operations: ['95-20=75', '75/15=5']
Exploring Operation: 89+5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
29,
54,
49,
50
] | 16 | [
"29+54=83",
"49+50=99",
"99-83=16"
] | Current State: 16:[29, 54, 49, 50], Operations: []
Exploring Operation: 29+54=83, Resulting Numbers: [49, 50, 83]
Generated Node #2: [49, 50, 83] from Operation: 29+54=83
Current State: 16:[49, 50, 83], Operations: ['29+54=83']
Exploring Operation: 49+50=99, Resulting Numbers: [83, 99]
Generated Node #3: [83, 99] from Operation: 49+50=99
Current State: 16:[83, 99], Operations: ['29+54=83', '49+50=99']
Exploring Operation: 99-83=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
44,
28,
24,
42
] | 26 | [
"44-42=2",
"28+24=52",
"52/2=26"
] | Current State: 26:[44, 28, 24, 42], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [28, 24, 2]
Generated Node #2: [28, 24, 2] from Operation: 44-42=2
Current State: 26:[28, 24, 2], Operations: ['44-42=2']
Exploring Operation: 28+24=52, Resulting Numbers: [2, 52]
Generated Node #3: [2, 52] from Operation: 28+24=52
Current State: 26:[2, 52], Operations: ['44-42=2', '28+24=52']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
43,
5,
46,
52
] | 67 | [
"46-43=3",
"5*3=15",
"52+15=67"
] | Current State: 67:[43, 5, 46, 52], Operations: []
Exploring Operation: 46-43=3, Resulting Numbers: [5, 52, 3]
Generated Node #2: [5, 52, 3] from Operation: 46-43=3
Current State: 67:[5, 52, 3], Operations: ['46-43=3']
Exploring Operation: 5*3=15, Resulting Numbers: [52, 15]
Generated Node #3: [52, 15] from Operation: 5*3=15
Current State: 67:[52, 15], Operations: ['46-43=3', '5*3=15']
Exploring Operation: 52+15=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
35,
8,
98,
15
] | 56 | [
"35-8=27",
"98-15=83",
"83-27=56"
] | Current State: 56:[35, 8, 98, 15], Operations: []
Exploring Operation: 35-8=27, Resulting Numbers: [98, 15, 27]
Generated Node #2: [98, 15, 27] from Operation: 35-8=27
Current State: 56:[98, 15, 27], Operations: ['35-8=27']
Exploring Operation: 98-15=83, Resulting Numbers: [27, 83]
Generated Node #3: [27, 83] from Operation: 98-15=83
Current State: 56:[27, 83], Operations: ['35-8=27', '98-15=83']
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
84,
99,
90,
14
] | 61 | [
"99-84=15",
"90-14=76",
"76-15=61"
] | Current State: 61:[84, 99, 90, 14], Operations: []
Exploring Operation: 99-84=15, Resulting Numbers: [90, 14, 15]
Generated Node #2: [90, 14, 15] from Operation: 99-84=15
Current State: 61:[90, 14, 15], Operations: ['99-84=15']
Exploring Operation: 90-14=76, Resulting Numbers: [15, 76]
Generated Node #3: [15, 76] from Operation: 90-14=76
Current State: 61:[15, 76], Operations: ['99-84=15', '90-14=76']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
61,
6,
17,
10
] | 51 | [
"61-10=51",
"6*17=102",
"102-51=51"
] | Current State: 51:[61, 6, 17, 10], Operations: []
Exploring Operation: 61-10=51, Resulting Numbers: [6, 17, 51]
Generated Node #2: [6, 17, 51] from Operation: 61-10=51
Current State: 51:[6, 17, 51], Operations: ['61-10=51']
Exploring Operation: 6*17=102, Resulting Numbers: [51, 102]
Generated Node #3: [51, 102] from Operation: 6*17=102
Current State: 51:[51, 102], Operations: ['61-10=51', '6*17=102']
Exploring Operation: 102-51=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
93,
95,
86,
32
] | 70 | [
"93+95=188",
"86+32=118",
"188-118=70"
] | Current State: 70:[93, 95, 86, 32], Operations: []
Exploring Operation: 93+95=188, Resulting Numbers: [86, 32, 188]
Generated Node #2: [86, 32, 188] from Operation: 93+95=188
Current State: 70:[86, 32, 188], Operations: ['93+95=188']
Exploring Operation: 86+32=118, Resulting Numbers: [188, 118]
Generated Node #3: [188, 118] from Operation: 86+32=118
Current State: 70:[188, 118], Operations: ['93+95=188', '86+32=118']
Exploring Operation: 188-118=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
53,
86,
73,
32
] | 62 | [
"53*86=4558",
"4558-32=4526",
"4526/73=62"
] | Current State: 62:[53, 86, 73, 32], Operations: []
Exploring Operation: 53*86=4558, Resulting Numbers: [73, 32, 4558]
Generated Node #2: [73, 32, 4558] from Operation: 53*86=4558
Current State: 62:[73, 32, 4558], Operations: ['53*86=4558']
Exploring Operation: 4558-32=4526, Resulting Numbers: [73, 4526]
Generated Node #3: [73, 4526] from Operation: 4558-32=4526
Current State: 62:[73, 4526], Operations: ['53*86=4558', '4558-32=4526']
Exploring Operation: 4526/73=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
76,
4,
96,
72
] | 91 | [
"96*72=6912",
"4+6912=6916",
"6916/76=91"
] | Current State: 91:[76, 4, 96, 72], Operations: []
Exploring Operation: 96*72=6912, Resulting Numbers: [76, 4, 6912]
Generated Node #2: [76, 4, 6912] from Operation: 96*72=6912
Current State: 91:[76, 4, 6912], Operations: ['96*72=6912']
Exploring Operation: 4+6912=6916, Resulting Numbers: [76, 6916]
Generated Node #3: [76, 6916] from Operation: 4+6912=6916
Current State: 91:[76, 6916], Operations: ['96*72=6912', '4+6912=6916']
Exploring Operation: 6916/76=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
56,
9,
37,
89
] | 82 | [
"56-37=19",
"9*19=171",
"171-89=82"
] | Current State: 82:[56, 9, 37, 89], Operations: []
Exploring Operation: 56-37=19, Resulting Numbers: [9, 89, 19]
Generated Node #2: [9, 89, 19] from Operation: 56-37=19
Current State: 82:[9, 89, 19], Operations: ['56-37=19']
Exploring Operation: 9*19=171, Resulting Numbers: [89, 171]
Generated Node #3: [89, 171] from Operation: 9*19=171
Current State: 82:[89, 171], Operations: ['56-37=19', '9*19=171']
Exploring Operation: 171-89=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
19,
38,
23,
43
] | 77 | [
"19+38=57",
"43-23=20",
"57+20=77"
] | Current State: 77:[19, 38, 23, 43], Operations: []
Exploring Operation: 19+38=57, Resulting Numbers: [23, 43, 57]
Generated Node #2: [23, 43, 57] from Operation: 19+38=57
Current State: 77:[23, 43, 57], Operations: ['19+38=57']
Exploring Operation: 43-23=20, Resulting Numbers: [57, 20]
Generated Node #3: [57, 20] from Operation: 43-23=20
Current State: 77:[57, 20], Operations: ['19+38=57', '43-23=20']
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
5,
17,
28,
17
] | 22 | [
"28-5=23",
"17/17=1",
"23-1=22"
] | Current State: 22:[5, 17, 28, 17], Operations: []
Exploring Operation: 28-5=23, Resulting Numbers: [17, 17, 23]
Generated Node #2: [17, 17, 23] from Operation: 28-5=23
Current State: 22:[17, 17, 23], Operations: ['28-5=23']
Exploring Operation: 17/17=1, Resulting Numbers: [23, 1]
Generated Node #3: [23, 1] from Operation: 17/17=1
Current State: 22:[23, 1], Operations: ['28-5=23', '17/17=1']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
28,
53,
34,
58
] | 57 | [
"28+53=81",
"58-34=24",
"81-24=57"
] | Current State: 57:[28, 53, 34, 58], Operations: []
Exploring Operation: 28+53=81, Resulting Numbers: [34, 58, 81]
Generated Node #2: [34, 58, 81] from Operation: 28+53=81
Current State: 57:[34, 58, 81], Operations: ['28+53=81']
Exploring Operation: 58-34=24, Resulting Numbers: [81, 24]
Generated Node #3: [81, 24] from Operation: 58-34=24
Current State: 57:[81, 24], Operations: ['28+53=81', '58-34=24']
Exploring Operation: 81-24=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
45,
34,
14,
29
] | 54 | [
"45-34=11",
"14+29=43",
"11+43=54"
] | Current State: 54:[45, 34, 14, 29], Operations: []
Exploring Operation: 45-34=11, Resulting Numbers: [14, 29, 11]
Generated Node #2: [14, 29, 11] from Operation: 45-34=11
Current State: 54:[14, 29, 11], Operations: ['45-34=11']
Exploring Operation: 14+29=43, Resulting Numbers: [11, 43]
Generated Node #3: [11, 43] from Operation: 14+29=43
Current State: 54:[11, 43], Operations: ['45-34=11', '14+29=43']
Exploring Operation: 11+43=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
80,
12,
12,
97
] | 97 | [
"12-12=0",
"80*0=0",
"97+0=97"
] | Current State: 97:[80, 12, 12, 97], Operations: []
Exploring Operation: 12-12=0, Resulting Numbers: [80, 97, 0]
Generated Node #2: [80, 97, 0] from Operation: 12-12=0
Current State: 97:[80, 97, 0], Operations: ['12-12=0']
Exploring Operation: 80*0=0, Resulting Numbers: [97, 0]
Generated Node #3: [97, 0] from Operation: 80*0=0
Current State: 97:[97, 0], Operations: ['12-12=0', '80*0=0']
Exploring Operation: 97+0=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
40,
56,
23,
77
] | 84 | [
"56-40=16",
"23+77=100",
"100-16=84"
] | Current State: 84:[40, 56, 23, 77], Operations: []
Exploring Operation: 56-40=16, Resulting Numbers: [23, 77, 16]
Generated Node #2: [23, 77, 16] from Operation: 56-40=16
Current State: 84:[23, 77, 16], Operations: ['56-40=16']
Exploring Operation: 23+77=100, Resulting Numbers: [16, 100]
Generated Node #3: [16, 100] from Operation: 23+77=100
Current State: 84:[16, 100], Operations: ['56-40=16', '23+77=100']
Exploring Operation: 100-16=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
39,
69,
85,
67
] | 48 | [
"69-39=30",
"85-67=18",
"30+18=48"
] | Current State: 48:[39, 69, 85, 67], Operations: []
Exploring Operation: 69-39=30, Resulting Numbers: [85, 67, 30]
Generated Node #2: [85, 67, 30] from Operation: 69-39=30
Current State: 48:[85, 67, 30], Operations: ['69-39=30']
Exploring Operation: 85-67=18, Resulting Numbers: [30, 18]
Generated Node #3: [30, 18] from Operation: 85-67=18
Current State: 48:[30, 18], Operations: ['69-39=30', '85-67=18']
Exploring Operation: 30+18=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
64,
26,
96,
32
] | 71 | [
"26*96=2496",
"2496/64=39",
"32+39=71"
] | Current State: 71:[64, 26, 96, 32], Operations: []
Exploring Operation: 26*96=2496, Resulting Numbers: [64, 32, 2496]
Generated Node #2: [64, 32, 2496] from Operation: 26*96=2496
Current State: 71:[64, 32, 2496], Operations: ['26*96=2496']
Exploring Operation: 2496/64=39, Resulting Numbers: [32, 39]
Generated Node #3: [32, 39] from Operation: 2496/64=39
Current State: 71:[32, 39], Operations: ['26*96=2496', '2496/64=39']
Exploring Operation: 32+39=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
64,
93,
87,
79
] | 82 | [
"93-64=29",
"87/29=3",
"79+3=82"
] | Current State: 82:[64, 93, 87, 79], Operations: []
Exploring Operation: 93-64=29, Resulting Numbers: [87, 79, 29]
Generated Node #2: [87, 79, 29] from Operation: 93-64=29
Current State: 82:[87, 79, 29], Operations: ['93-64=29']
Exploring Operation: 87/29=3, Resulting Numbers: [79, 3]
Generated Node #3: [79, 3] from Operation: 87/29=3
Current State: 82:[79, 3], Operations: ['93-64=29', '87/29=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
13,
30,
2,
39
] | 73 | [
"30-13=17",
"2*17=34",
"39+34=73"
] | Current State: 73:[13, 30, 2, 39], Operations: []
Exploring Operation: 30-13=17, Resulting Numbers: [2, 39, 17]
Generated Node #2: [2, 39, 17] from Operation: 30-13=17
Current State: 73:[2, 39, 17], Operations: ['30-13=17']
Exploring Operation: 2*17=34, Resulting Numbers: [39, 34]
Generated Node #3: [39, 34] from Operation: 2*17=34
Current State: 73:[39, 34], Operations: ['30-13=17', '2*17=34']
Exploring Operation: 39+34=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
66,
13,
22,
10
] | 49 | [
"66*13=858",
"858/22=39",
"10+39=49"
] | Current State: 49:[66, 13, 22, 10], Operations: []
Exploring Operation: 66*13=858, Resulting Numbers: [22, 10, 858]
Generated Node #2: [22, 10, 858] from Operation: 66*13=858
Current State: 49:[22, 10, 858], Operations: ['66*13=858']
Exploring Operation: 858/22=39, Resulting Numbers: [10, 39]
Generated Node #3: [10, 39] from Operation: 858/22=39
Current State: 49:[10, 39], Operations: ['66*13=858', '858/22=39']
Exploring Operation: 10+39=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
40,
99,
30,
7
] | 90 | [
"40-7=33",
"99*30=2970",
"2970/33=90"
] | Current State: 90:[40, 99, 30, 7], Operations: []
Exploring Operation: 40-7=33, Resulting Numbers: [99, 30, 33]
Generated Node #2: [99, 30, 33] from Operation: 40-7=33
Current State: 90:[99, 30, 33], Operations: ['40-7=33']
Exploring Operation: 99*30=2970, Resulting Numbers: [33, 2970]
Generated Node #3: [33, 2970] from Operation: 99*30=2970
Current State: 90:[33, 2970], Operations: ['40-7=33', '99*30=2970']
Exploring Operation: 2970/33=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
70,
59,
68,
85
] | 13 | [
"70-68=2",
"85-59=26",
"26/2=13"
] | Current State: 13:[70, 59, 68, 85], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [59, 85, 2]
Generated Node #2: [59, 85, 2] from Operation: 70-68=2
Current State: 13:[59, 85, 2], Operations: ['70-68=2']
Exploring Operation: 85-59=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 85-59=26
Current State: 13:[2, 26], Operations: ['70-68=2', '85-59=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
51,
52,
25,
55
] | 48 | [
"55-51=4",
"25*4=100",
"100-52=48"
] | Current State: 48:[51, 52, 25, 55], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [52, 25, 4]
Generated Node #2: [52, 25, 4] from Operation: 55-51=4
Current State: 48:[52, 25, 4], Operations: ['55-51=4']
Exploring Operation: 25*4=100, Resulting Numbers: [52, 100]
Generated Node #3: [52, 100] from Operation: 25*4=100
Current State: 48:[52, 100], Operations: ['55-51=4', '25*4=100']
Exploring Operation: 100-52=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
21,
35,
34,
14
] | 86 | [
"21*34=714",
"714/14=51",
"35+51=86"
] | Current State: 86:[21, 35, 34, 14], Operations: []
Exploring Operation: 21*34=714, Resulting Numbers: [35, 14, 714]
Generated Node #2: [35, 14, 714] from Operation: 21*34=714
Current State: 86:[35, 14, 714], Operations: ['21*34=714']
Exploring Operation: 714/14=51, Resulting Numbers: [35, 51]
Generated Node #3: [35, 51] from Operation: 714/14=51
Current State: 86:[35, 51], Operations: ['21*34=714', '714/14=51']
Exploring Operation: 35+51=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
18,
36,
68,
10
] | 96 | [
"36-18=18",
"68+10=78",
"18+78=96"
] | Current State: 96:[18, 36, 68, 10], Operations: []
Exploring Operation: 36-18=18, Resulting Numbers: [68, 10, 18]
Generated Node #2: [68, 10, 18] from Operation: 36-18=18
Current State: 96:[68, 10, 18], Operations: ['36-18=18']
Exploring Operation: 68+10=78, Resulting Numbers: [18, 78]
Generated Node #3: [18, 78] from Operation: 68+10=78
Current State: 96:[18, 78], Operations: ['36-18=18', '68+10=78']
Exploring Operation: 18+78=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
6,
36,
63,
54
] | 51 | [
"6+36=42",
"63-54=9",
"42+9=51"
] | Current State: 51:[6, 36, 63, 54], Operations: []
Exploring Operation: 6+36=42, Resulting Numbers: [63, 54, 42]
Generated Node #2: [63, 54, 42] from Operation: 6+36=42
Current State: 51:[63, 54, 42], Operations: ['6+36=42']
Exploring Operation: 63-54=9, Resulting Numbers: [42, 9]
Generated Node #3: [42, 9] from Operation: 63-54=9
Current State: 51:[42, 9], Operations: ['6+36=42', '63-54=9']
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
81,
98,
14,
70
] | 39 | [
"98-81=17",
"70-14=56",
"56-17=39"
] | Current State: 39:[81, 98, 14, 70], Operations: []
Exploring Operation: 98-81=17, Resulting Numbers: [14, 70, 17]
Generated Node #2: [14, 70, 17] from Operation: 98-81=17
Current State: 39:[14, 70, 17], Operations: ['98-81=17']
Exploring Operation: 70-14=56, Resulting Numbers: [17, 56]
Generated Node #3: [17, 56] from Operation: 70-14=56
Current State: 39:[17, 56], Operations: ['98-81=17', '70-14=56']
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
23,
24,
5,
3
] | 22 | [
"5-3=2",
"23*2=46",
"46-24=22"
] | Current State: 22:[23, 24, 5, 3], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [23, 24, 2]
Generated Node #2: [23, 24, 2] from Operation: 5-3=2
Current State: 22:[23, 24, 2], Operations: ['5-3=2']
Exploring Operation: 23*2=46, Resulting Numbers: [24, 46]
Generated Node #3: [24, 46] from Operation: 23*2=46
Current State: 22:[24, 46], Operations: ['5-3=2', '23*2=46']
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
17,
29,
6,
18
] | 16 | [
"29-17=12",
"12/6=2",
"18-2=16"
] | Current State: 16:[17, 29, 6, 18], Operations: []
Exploring Operation: 29-17=12, Resulting Numbers: [6, 18, 12]
Generated Node #2: [6, 18, 12] from Operation: 29-17=12
Current State: 16:[6, 18, 12], Operations: ['29-17=12']
Exploring Operation: 12/6=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 12/6=2
Current State: 16:[18, 2], Operations: ['29-17=12', '12/6=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
64,
84,
77,
3
] | 94 | [
"84-64=20",
"77-3=74",
"20+74=94"
] | Current State: 94:[64, 84, 77, 3], Operations: []
Exploring Operation: 84-64=20, Resulting Numbers: [77, 3, 20]
Generated Node #2: [77, 3, 20] from Operation: 84-64=20
Current State: 94:[77, 3, 20], Operations: ['84-64=20']
Exploring Operation: 77-3=74, Resulting Numbers: [20, 74]
Generated Node #3: [20, 74] from Operation: 77-3=74
Current State: 94:[20, 74], Operations: ['84-64=20', '77-3=74']
Exploring Operation: 20+74=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
35,
95,
10,
68
] | 62 | [
"95-35=60",
"60/10=6",
"68-6=62"
] | Current State: 62:[35, 95, 10, 68], Operations: []
Exploring Operation: 95-35=60, Resulting Numbers: [10, 68, 60]
Generated Node #2: [10, 68, 60] from Operation: 95-35=60
Current State: 62:[10, 68, 60], Operations: ['95-35=60']
Exploring Operation: 60/10=6, Resulting Numbers: [68, 6]
Generated Node #3: [68, 6] from Operation: 60/10=6
Current State: 62:[68, 6], Operations: ['95-35=60', '60/10=6']
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
15,
14,
57,
30
] | 45 | [
"30/15=2",
"57-14=43",
"2+43=45"
] | Current State: 45:[15, 14, 57, 30], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [14, 57, 2]
Generated Node #2: [14, 57, 2] from Operation: 30/15=2
Current State: 45:[14, 57, 2], Operations: ['30/15=2']
Exploring Operation: 57-14=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 57-14=43
Current State: 45:[2, 43], Operations: ['30/15=2', '57-14=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
99,
86,
65,
34
] | 87 | [
"99-65=34",
"34/34=1",
"86+1=87"
] | Current State: 87:[99, 86, 65, 34], Operations: []
Exploring Operation: 99-65=34, Resulting Numbers: [86, 34, 34]
Generated Node #2: [86, 34, 34] from Operation: 99-65=34
Current State: 87:[86, 34, 34], Operations: ['99-65=34']
Exploring Operation: 34/34=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 34/34=1
Current State: 87:[86, 1], Operations: ['99-65=34', '34/34=1']
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
61,
10,
91,
1
] | 52 | [
"91-1=90",
"90/10=9",
"61-9=52"
] | Current State: 52:[61, 10, 91, 1], Operations: []
Exploring Operation: 91-1=90, Resulting Numbers: [61, 10, 90]
Generated Node #2: [61, 10, 90] from Operation: 91-1=90
Current State: 52:[61, 10, 90], Operations: ['91-1=90']
Exploring Operation: 90/10=9, Resulting Numbers: [61, 9]
Generated Node #3: [61, 9] from Operation: 90/10=9
Current State: 52:[61, 9], Operations: ['91-1=90', '90/10=9']
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
4,
54,
13,
1
] | 15 | [
"4-1=3",
"13*3=39",
"54-39=15"
] | Current State: 15:[4, 54, 13, 1], Operations: []
Exploring Operation: 4-1=3, Resulting Numbers: [54, 13, 3]
Generated Node #2: [54, 13, 3] from Operation: 4-1=3
Current State: 15:[54, 13, 3], Operations: ['4-1=3']
Exploring Operation: 13*3=39, Resulting Numbers: [54, 39]
Generated Node #3: [54, 39] from Operation: 13*3=39
Current State: 15:[54, 39], Operations: ['4-1=3', '13*3=39']
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
76,
94,
16,
94
] | 16 | [
"94-94=0",
"76*0=0",
"16+0=16"
] | Current State: 16:[76, 94, 16, 94], Operations: []
Exploring Operation: 94-94=0, Resulting Numbers: [76, 16, 0]
Generated Node #2: [76, 16, 0] from Operation: 94-94=0
Current State: 16:[76, 16, 0], Operations: ['94-94=0']
Exploring Operation: 76*0=0, Resulting Numbers: [16, 0]
Generated Node #3: [16, 0] from Operation: 76*0=0
Current State: 16:[16, 0], Operations: ['94-94=0', '76*0=0']
Exploring Operation: 16+0=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
66,
48,
76,
7
] | 70 | [
"76-48=28",
"28/7=4",
"66+4=70"
] | Current State: 70:[66, 48, 76, 7], Operations: []
Exploring Operation: 76-48=28, Resulting Numbers: [66, 7, 28]
Generated Node #2: [66, 7, 28] from Operation: 76-48=28
Current State: 70:[66, 7, 28], Operations: ['76-48=28']
Exploring Operation: 28/7=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 28/7=4
Current State: 70:[66, 4], Operations: ['76-48=28', '28/7=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
2,
56,
56,
7
] | 21 | [
"56/2=28",
"56-7=49",
"49-28=21"
] | Current State: 21:[2, 56, 56, 7], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [7, 28]
Generated Node #2: [7, 28] from Operation: 56/2=28
Current State: 21:[7, 28], Operations: ['56/2=28']
Exploring Operation: 56-7=49, Resulting Numbers: [28, 49]
Generated Node #3: [28, 49] from Operation: 56-7=49
Current State: 21:[28, 49], Operations: ['56/2=28', '56-7=49']
Exploring Operation: 49-28=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
6,
45,
39,
21
] | 43 | [
"45-21=24",
"24/6=4",
"39+4=43"
] | Current State: 43:[6, 45, 39, 21], Operations: []
Exploring Operation: 45-21=24, Resulting Numbers: [6, 39, 24]
Generated Node #2: [6, 39, 24] from Operation: 45-21=24
Current State: 43:[6, 39, 24], Operations: ['45-21=24']
Exploring Operation: 24/6=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 24/6=4
Current State: 43:[39, 4], Operations: ['45-21=24', '24/6=4']
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
32,
78,
40,
39
] | 24 | [
"32*78=2496",
"2496/39=64",
"64-40=24"
] | Current State: 24:[32, 78, 40, 39], Operations: []
Exploring Operation: 32*78=2496, Resulting Numbers: [40, 39, 2496]
Generated Node #2: [40, 39, 2496] from Operation: 32*78=2496
Current State: 24:[40, 39, 2496], Operations: ['32*78=2496']
Exploring Operation: 2496/39=64, Resulting Numbers: [40, 64]
Generated Node #3: [40, 64] from Operation: 2496/39=64
Current State: 24:[40, 64], Operations: ['32*78=2496', '2496/39=64']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
43,
84,
30,
53
] | 42 | [
"84-43=41",
"30+53=83",
"83-41=42"
] | Current State: 42:[43, 84, 30, 53], Operations: []
Exploring Operation: 84-43=41, Resulting Numbers: [30, 53, 41]
Generated Node #2: [30, 53, 41] from Operation: 84-43=41
Current State: 42:[30, 53, 41], Operations: ['84-43=41']
Exploring Operation: 30+53=83, Resulting Numbers: [41, 83]
Generated Node #3: [41, 83] from Operation: 30+53=83
Current State: 42:[41, 83], Operations: ['84-43=41', '30+53=83']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
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