nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
78,
36,
84,
2
] | 24 | [
"84-78=6",
"36/2=18",
"6+18=24"
] | Current State: 24:[78, 36, 84, 2], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [36, 2, 6]
Generated Node #2: [36, 2, 6] from Operation: 84-78=6
Current State: 24:[36, 2, 6], Operations: ['84-78=6']
Exploring Operation: 36/2=18, Resulting Numbers: [6, 18]
Generated Node #3: [6, 18] from Operation: 36/2=18
Current State: 24:[6, 18], Operations: ['84-78=6', '36/2=18']
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
72,
95,
10,
47
] | 34 | [
"95-72=23",
"10+47=57",
"57-23=34"
] | Current State: 34:[72, 95, 10, 47], Operations: []
Exploring Operation: 95-72=23, Resulting Numbers: [10, 47, 23]
Generated Node #2: [10, 47, 23] from Operation: 95-72=23
Current State: 34:[10, 47, 23], Operations: ['95-72=23']
Exploring Operation: 10+47=57, Resulting Numbers: [23, 57]
Generated Node #3: [23, 57] from Operation: 10+47=57
Current State: 34:[23, 57], Operations: ['95-72=23', '10+47=57']
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
9,
98,
73,
5
] | 70 | [
"9*5=45",
"98-73=25",
"45+25=70"
] | Current State: 70:[9, 98, 73, 5], Operations: []
Exploring Operation: 9*5=45, Resulting Numbers: [98, 73, 45]
Generated Node #2: [98, 73, 45] from Operation: 9*5=45
Current State: 70:[98, 73, 45], Operations: ['9*5=45']
Exploring Operation: 98-73=25, Resulting Numbers: [45, 25]
Generated Node #3: [45, 25] from Operation: 98-73=25
Current State: 70:[45, 25], Operations: ['9*5=45', '98-73=25']
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
28,
66,
75,
57
] | 76 | [
"28+66=94",
"75-57=18",
"94-18=76"
] | Current State: 76:[28, 66, 75, 57], Operations: []
Exploring Operation: 28+66=94, Resulting Numbers: [75, 57, 94]
Generated Node #2: [75, 57, 94] from Operation: 28+66=94
Current State: 76:[75, 57, 94], Operations: ['28+66=94']
Exploring Operation: 75-57=18, Resulting Numbers: [94, 18]
Generated Node #3: [94, 18] from Operation: 75-57=18
Current State: 76:[94, 18], Operations: ['28+66=94', '75-57=18']
Exploring Operation: 94-18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
41,
83,
78,
2
] | 47 | [
"41+78=119",
"83*2=166",
"166-119=47"
] | Current State: 47:[41, 83, 78, 2], Operations: []
Exploring Operation: 41+78=119, Resulting Numbers: [83, 2, 119]
Generated Node #2: [83, 2, 119] from Operation: 41+78=119
Current State: 47:[83, 2, 119], Operations: ['41+78=119']
Exploring Operation: 83*2=166, Resulting Numbers: [119, 166]
Generated Node #3: [119, 166] from Operation: 83*2=166
Current State: 47:[119, 166], Operations: ['41+78=119', '83*2=166']
Exploring Operation: 166-119=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
31,
18,
75,
69
] | 23 | [
"31*69=2139",
"18+75=93",
"2139/93=23"
] | Current State: 23:[31, 18, 75, 69], Operations: []
Exploring Operation: 31*69=2139, Resulting Numbers: [18, 75, 2139]
Generated Node #2: [18, 75, 2139] from Operation: 31*69=2139
Current State: 23:[18, 75, 2139], Operations: ['31*69=2139']
Exploring Operation: 18+75=93, Resulting Numbers: [2139, 93]
Generated Node #3: [2139, 93] from Operation: 18+75=93
Current State: 23:[2139, 93], Operations: ['31*69=2139', '18+75=93']
Exploring Operation: 2139/93=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
27,
65,
47,
28
] | 73 | [
"27+65=92",
"47-28=19",
"92-19=73"
] | Current State: 73:[27, 65, 47, 28], Operations: []
Exploring Operation: 27+65=92, Resulting Numbers: [47, 28, 92]
Generated Node #2: [47, 28, 92] from Operation: 27+65=92
Current State: 73:[47, 28, 92], Operations: ['27+65=92']
Exploring Operation: 47-28=19, Resulting Numbers: [92, 19]
Generated Node #3: [92, 19] from Operation: 47-28=19
Current State: 73:[92, 19], Operations: ['27+65=92', '47-28=19']
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
5,
83,
41,
13
] | 11 | [
"83-41=42",
"13+42=55",
"55/5=11"
] | Current State: 11:[5, 83, 41, 13], Operations: []
Exploring Operation: 83-41=42, Resulting Numbers: [5, 13, 42]
Generated Node #2: [5, 13, 42] from Operation: 83-41=42
Current State: 11:[5, 13, 42], Operations: ['83-41=42']
Exploring Operation: 13+42=55, Resulting Numbers: [5, 55]
Generated Node #3: [5, 55] from Operation: 13+42=55
Current State: 11:[5, 55], Operations: ['83-41=42', '13+42=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
16,
39,
4,
8
] | 41 | [
"16/4=4",
"8/4=2",
"39+2=41"
] | Current State: 41:[16, 39, 4, 8], Operations: []
Exploring Operation: 16/4=4, Resulting Numbers: [39, 8, 4]
Generated Node #2: [39, 8, 4] from Operation: 16/4=4
Current State: 41:[39, 8, 4], Operations: ['16/4=4']
Exploring Operation: 8/4=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 8/4=2
Current State: 41:[39, 2], Operations: ['16/4=4', '8/4=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
45,
83,
11,
42
] | 24 | [
"45-42=3",
"83-11=72",
"72/3=24"
] | Current State: 24:[45, 83, 11, 42], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [83, 11, 3]
Generated Node #2: [83, 11, 3] from Operation: 45-42=3
Current State: 24:[83, 11, 3], Operations: ['45-42=3']
Exploring Operation: 83-11=72, Resulting Numbers: [3, 72]
Generated Node #3: [3, 72] from Operation: 83-11=72
Current State: 24:[3, 72], Operations: ['45-42=3', '83-11=72']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
21,
9,
60,
5
] | 54 | [
"21+9=30",
"30/5=6",
"60-6=54"
] | Current State: 54:[21, 9, 60, 5], Operations: []
Exploring Operation: 21+9=30, Resulting Numbers: [60, 5, 30]
Generated Node #2: [60, 5, 30] from Operation: 21+9=30
Current State: 54:[60, 5, 30], Operations: ['21+9=30']
Exploring Operation: 30/5=6, Resulting Numbers: [60, 6]
Generated Node #3: [60, 6] from Operation: 30/5=6
Current State: 54:[60, 6], Operations: ['21+9=30', '30/5=6']
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
4,
26,
31,
8
] | 84 | [
"4*31=124",
"26*8=208",
"208-124=84"
] | Current State: 84:[4, 26, 31, 8], Operations: []
Exploring Operation: 4*31=124, Resulting Numbers: [26, 8, 124]
Generated Node #2: [26, 8, 124] from Operation: 4*31=124
Current State: 84:[26, 8, 124], Operations: ['4*31=124']
Exploring Operation: 26*8=208, Resulting Numbers: [124, 208]
Generated Node #3: [124, 208] from Operation: 26*8=208
Current State: 84:[124, 208], Operations: ['4*31=124', '26*8=208']
Exploring Operation: 208-124=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
41,
7,
14,
45
] | 63 | [
"45-41=4",
"14*4=56",
"7+56=63"
] | Current State: 63:[41, 7, 14, 45], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [7, 14, 4]
Generated Node #2: [7, 14, 4] from Operation: 45-41=4
Current State: 63:[7, 14, 4], Operations: ['45-41=4']
Exploring Operation: 14*4=56, Resulting Numbers: [7, 56]
Generated Node #3: [7, 56] from Operation: 14*4=56
Current State: 63:[7, 56], Operations: ['45-41=4', '14*4=56']
Exploring Operation: 7+56=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
72,
16,
7,
35
] | 60 | [
"72+16=88",
"35-7=28",
"88-28=60"
] | Current State: 60:[72, 16, 7, 35], Operations: []
Exploring Operation: 72+16=88, Resulting Numbers: [7, 35, 88]
Generated Node #2: [7, 35, 88] from Operation: 72+16=88
Current State: 60:[7, 35, 88], Operations: ['72+16=88']
Exploring Operation: 35-7=28, Resulting Numbers: [88, 28]
Generated Node #3: [88, 28] from Operation: 35-7=28
Current State: 60:[88, 28], Operations: ['72+16=88', '35-7=28']
Exploring Operation: 88-28=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
64,
43,
25,
59
] | 48 | [
"64-59=5",
"25/5=5",
"43+5=48"
] | Current State: 48:[64, 43, 25, 59], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [43, 25, 5]
Generated Node #2: [43, 25, 5] from Operation: 64-59=5
Current State: 48:[43, 25, 5], Operations: ['64-59=5']
Exploring Operation: 25/5=5, Resulting Numbers: [43, 5]
Generated Node #3: [43, 5] from Operation: 25/5=5
Current State: 48:[43, 5], Operations: ['64-59=5', '25/5=5']
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
16,
88,
54,
20
] | 30 | [
"16+88=104",
"54+20=74",
"104-74=30"
] | Current State: 30:[16, 88, 54, 20], Operations: []
Exploring Operation: 16+88=104, Resulting Numbers: [54, 20, 104]
Generated Node #2: [54, 20, 104] from Operation: 16+88=104
Current State: 30:[54, 20, 104], Operations: ['16+88=104']
Exploring Operation: 54+20=74, Resulting Numbers: [104, 74]
Generated Node #3: [104, 74] from Operation: 54+20=74
Current State: 30:[104, 74], Operations: ['16+88=104', '54+20=74']
Exploring Operation: 104-74=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
24,
97,
8,
63
] | 50 | [
"24+97=121",
"8+63=71",
"121-71=50"
] | Current State: 50:[24, 97, 8, 63], Operations: []
Exploring Operation: 24+97=121, Resulting Numbers: [8, 63, 121]
Generated Node #2: [8, 63, 121] from Operation: 24+97=121
Current State: 50:[8, 63, 121], Operations: ['24+97=121']
Exploring Operation: 8+63=71, Resulting Numbers: [121, 71]
Generated Node #3: [121, 71] from Operation: 8+63=71
Current State: 50:[121, 71], Operations: ['24+97=121', '8+63=71']
Exploring Operation: 121-71=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
27,
25,
27,
2
] | 56 | [
"27-25=2",
"27*2=54",
"2+54=56"
] | Current State: 56:[27, 25, 27, 2], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [2, 2]
Generated Node #2: [2, 2] from Operation: 27-25=2
Current State: 56:[2, 2], Operations: ['27-25=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,56 equal: Goal Reached
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
25,
27,
91,
49
] | 10 | [
"25+27=52",
"91-49=42",
"52-42=10"
] | Current State: 10:[25, 27, 91, 49], Operations: []
Exploring Operation: 25+27=52, Resulting Numbers: [91, 49, 52]
Generated Node #2: [91, 49, 52] from Operation: 25+27=52
Current State: 10:[91, 49, 52], Operations: ['25+27=52']
Exploring Operation: 91-49=42, Resulting Numbers: [52, 42]
Generated Node #3: [52, 42] from Operation: 91-49=42
Current State: 10:[52, 42], Operations: ['25+27=52', '91-49=42']
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
15,
32,
91,
40
] | 95 | [
"91-15=76",
"40*76=3040",
"3040/32=95"
] | Current State: 95:[15, 32, 91, 40], Operations: []
Exploring Operation: 91-15=76, Resulting Numbers: [32, 40, 76]
Generated Node #2: [32, 40, 76] from Operation: 91-15=76
Current State: 95:[32, 40, 76], Operations: ['91-15=76']
Exploring Operation: 40*76=3040, Resulting Numbers: [32, 3040]
Generated Node #3: [32, 3040] from Operation: 40*76=3040
Current State: 95:[32, 3040], Operations: ['91-15=76', '40*76=3040']
Exploring Operation: 3040/32=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
73,
79,
70,
66
] | 24 | [
"79-73=6",
"70-66=4",
"6*4=24"
] | Current State: 24:[73, 79, 70, 66], Operations: []
Exploring Operation: 79-73=6, Resulting Numbers: [70, 66, 6]
Generated Node #2: [70, 66, 6] from Operation: 79-73=6
Current State: 24:[70, 66, 6], Operations: ['79-73=6']
Exploring Operation: 70-66=4, Resulting Numbers: [6, 4]
Generated Node #3: [6, 4] from Operation: 70-66=4
Current State: 24:[6, 4], Operations: ['79-73=6', '70-66=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
45,
83,
4,
10
] | 57 | [
"45-10=35",
"4*35=140",
"140-83=57"
] | Current State: 57:[45, 83, 4, 10], Operations: []
Exploring Operation: 45-10=35, Resulting Numbers: [83, 4, 35]
Generated Node #2: [83, 4, 35] from Operation: 45-10=35
Current State: 57:[83, 4, 35], Operations: ['45-10=35']
Exploring Operation: 4*35=140, Resulting Numbers: [83, 140]
Generated Node #3: [83, 140] from Operation: 4*35=140
Current State: 57:[83, 140], Operations: ['45-10=35', '4*35=140']
Exploring Operation: 140-83=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
36,
45,
12,
27
] | 81 | [
"45-36=9",
"12*9=108",
"108-27=81"
] | Current State: 81:[36, 45, 12, 27], Operations: []
Exploring Operation: 45-36=9, Resulting Numbers: [12, 27, 9]
Generated Node #2: [12, 27, 9] from Operation: 45-36=9
Current State: 81:[12, 27, 9], Operations: ['45-36=9']
Exploring Operation: 12*9=108, Resulting Numbers: [27, 108]
Generated Node #3: [27, 108] from Operation: 12*9=108
Current State: 81:[27, 108], Operations: ['45-36=9', '12*9=108']
Exploring Operation: 108-27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
87,
99,
29,
30
] | 89 | [
"87/29=3",
"30/3=10",
"99-10=89"
] | Current State: 89:[87, 99, 29, 30], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [99, 30, 3]
Generated Node #2: [99, 30, 3] from Operation: 87/29=3
Current State: 89:[99, 30, 3], Operations: ['87/29=3']
Exploring Operation: 30/3=10, Resulting Numbers: [99, 10]
Generated Node #3: [99, 10] from Operation: 30/3=10
Current State: 89:[99, 10], Operations: ['87/29=3', '30/3=10']
Exploring Operation: 99-10=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
31,
70,
28,
69
] | 95 | [
"69-31=38",
"70*38=2660",
"2660/28=95"
] | Current State: 95:[31, 70, 28, 69], Operations: []
Exploring Operation: 69-31=38, Resulting Numbers: [70, 28, 38]
Generated Node #2: [70, 28, 38] from Operation: 69-31=38
Current State: 95:[70, 28, 38], Operations: ['69-31=38']
Exploring Operation: 70*38=2660, Resulting Numbers: [28, 2660]
Generated Node #3: [28, 2660] from Operation: 70*38=2660
Current State: 95:[28, 2660], Operations: ['69-31=38', '70*38=2660']
Exploring Operation: 2660/28=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
95,
85,
91,
60
] | 100 | [
"95-91=4",
"85-60=25",
"4*25=100"
] | Current State: 100:[95, 85, 91, 60], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [85, 60, 4]
Generated Node #2: [85, 60, 4] from Operation: 95-91=4
Current State: 100:[85, 60, 4], Operations: ['95-91=4']
Exploring Operation: 85-60=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 85-60=25
Current State: 100:[4, 25], Operations: ['95-91=4', '85-60=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
42,
13,
21,
2
] | 29 | [
"42-21=21",
"2*21=42",
"42-13=29"
] | Current State: 29:[42, 13, 21, 2], Operations: []
Exploring Operation: 42-21=21, Resulting Numbers: [13, 2, 21]
Generated Node #2: [13, 2, 21] from Operation: 42-21=21
Current State: 29:[13, 2, 21], Operations: ['42-21=21']
Exploring Operation: 2*21=42, Resulting Numbers: [13, 42]
Generated Node #3: [13, 42] from Operation: 2*21=42
Current State: 29:[13, 42], Operations: ['42-21=21', '2*21=42']
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
28,
28,
6,
92
] | 86 | [
"28-28=0",
"92-6=86",
"0+86=86"
] | Current State: 86:[28, 28, 6, 92], Operations: []
Exploring Operation: 28-28=0, Resulting Numbers: [6, 92, 0]
Generated Node #2: [6, 92, 0] from Operation: 28-28=0
Current State: 86:[6, 92, 0], Operations: ['28-28=0']
Exploring Operation: 92-6=86, Resulting Numbers: [0, 86]
Generated Node #3: [0, 86] from Operation: 92-6=86
Current State: 86:[0, 86], Operations: ['28-28=0', '92-6=86']
Exploring Operation: 0+86=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
64,
14,
76,
68
] | 70 | [
"64+14=78",
"76-68=8",
"78-8=70"
] | Current State: 70:[64, 14, 76, 68], Operations: []
Exploring Operation: 64+14=78, Resulting Numbers: [76, 68, 78]
Generated Node #2: [76, 68, 78] from Operation: 64+14=78
Current State: 70:[76, 68, 78], Operations: ['64+14=78']
Exploring Operation: 76-68=8, Resulting Numbers: [78, 8]
Generated Node #3: [78, 8] from Operation: 76-68=8
Current State: 70:[78, 8], Operations: ['64+14=78', '76-68=8']
Exploring Operation: 78-8=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
46,
4,
2,
27
] | 38 | [
"46-2=44",
"44/4=11",
"27+11=38"
] | Current State: 38:[46, 4, 2, 27], Operations: []
Exploring Operation: 46-2=44, Resulting Numbers: [4, 27, 44]
Generated Node #2: [4, 27, 44] from Operation: 46-2=44
Current State: 38:[4, 27, 44], Operations: ['46-2=44']
Exploring Operation: 44/4=11, Resulting Numbers: [27, 11]
Generated Node #3: [27, 11] from Operation: 44/4=11
Current State: 38:[27, 11], Operations: ['46-2=44', '44/4=11']
Exploring Operation: 27+11=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
19,
19,
34,
44
] | 48 | [
"19+19=38",
"44-34=10",
"38+10=48"
] | Current State: 48:[19, 19, 34, 44], Operations: []
Exploring Operation: 19+19=38, Resulting Numbers: [34, 44, 38]
Generated Node #2: [34, 44, 38] from Operation: 19+19=38
Current State: 48:[34, 44, 38], Operations: ['19+19=38']
Exploring Operation: 44-34=10, Resulting Numbers: [38, 10]
Generated Node #3: [38, 10] from Operation: 44-34=10
Current State: 48:[38, 10], Operations: ['19+19=38', '44-34=10']
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
46,
15,
70,
82
] | 91 | [
"46+15=61",
"70+82=152",
"152-61=91"
] | Current State: 91:[46, 15, 70, 82], Operations: []
Exploring Operation: 46+15=61, Resulting Numbers: [70, 82, 61]
Generated Node #2: [70, 82, 61] from Operation: 46+15=61
Current State: 91:[70, 82, 61], Operations: ['46+15=61']
Exploring Operation: 70+82=152, Resulting Numbers: [61, 152]
Generated Node #3: [61, 152] from Operation: 70+82=152
Current State: 91:[61, 152], Operations: ['46+15=61', '70+82=152']
Exploring Operation: 152-61=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
27,
65,
91,
62
] | 62 | [
"27+65=92",
"92-91=1",
"62*1=62"
] | Current State: 62:[27, 65, 91, 62], Operations: []
Exploring Operation: 27+65=92, Resulting Numbers: [91, 62, 92]
Generated Node #2: [91, 62, 92] from Operation: 27+65=92
Current State: 62:[91, 62, 92], Operations: ['27+65=92']
Exploring Operation: 92-91=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 92-91=1
Current State: 62:[62, 1], Operations: ['27+65=92', '92-91=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
24,
78,
41,
54
] | 18 | [
"54-41=13",
"78/13=6",
"24-6=18"
] | Current State: 18:[24, 78, 41, 54], Operations: []
Exploring Operation: 54-41=13, Resulting Numbers: [24, 78, 13]
Generated Node #2: [24, 78, 13] from Operation: 54-41=13
Current State: 18:[24, 78, 13], Operations: ['54-41=13']
Exploring Operation: 78/13=6, Resulting Numbers: [24, 6]
Generated Node #3: [24, 6] from Operation: 78/13=6
Current State: 18:[24, 6], Operations: ['54-41=13', '78/13=6']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
51,
82,
16,
38
] | 79 | [
"51+82=133",
"16+38=54",
"133-54=79"
] | Current State: 79:[51, 82, 16, 38], Operations: []
Exploring Operation: 51+82=133, Resulting Numbers: [16, 38, 133]
Generated Node #2: [16, 38, 133] from Operation: 51+82=133
Current State: 79:[16, 38, 133], Operations: ['51+82=133']
Exploring Operation: 16+38=54, Resulting Numbers: [133, 54]
Generated Node #3: [133, 54] from Operation: 16+38=54
Current State: 79:[133, 54], Operations: ['51+82=133', '16+38=54']
Exploring Operation: 133-54=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
68,
3,
93,
19
] | 18 | [
"93-68=25",
"25-19=6",
"3*6=18"
] | Current State: 18:[68, 3, 93, 19], Operations: []
Exploring Operation: 93-68=25, Resulting Numbers: [3, 19, 25]
Generated Node #2: [3, 19, 25] from Operation: 93-68=25
Current State: 18:[3, 19, 25], Operations: ['93-68=25']
Exploring Operation: 25-19=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 25-19=6
Current State: 18:[3, 6], Operations: ['93-68=25', '25-19=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
80,
78,
98,
93
] | 10 | [
"80-78=2",
"98-93=5",
"2*5=10"
] | Current State: 10:[80, 78, 98, 93], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [98, 93, 2]
Generated Node #2: [98, 93, 2] from Operation: 80-78=2
Current State: 10:[98, 93, 2], Operations: ['80-78=2']
Exploring Operation: 98-93=5, Resulting Numbers: [2, 5]
Generated Node #3: [2, 5] from Operation: 98-93=5
Current State: 10:[2, 5], Operations: ['80-78=2', '98-93=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
42,
42,
40,
40
] | 19 | [
"42-40=2",
"42/2=21",
"40-21=19"
] | Current State: 19:[42, 42, 40, 40], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [2]
2,19 equal: Goal Reached
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,19 equal: Goal Reached
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
52,
63,
75,
26
] | 60 | [
"63-52=11",
"75-26=49",
"11+49=60"
] | Current State: 60:[52, 63, 75, 26], Operations: []
Exploring Operation: 63-52=11, Resulting Numbers: [75, 26, 11]
Generated Node #2: [75, 26, 11] from Operation: 63-52=11
Current State: 60:[75, 26, 11], Operations: ['63-52=11']
Exploring Operation: 75-26=49, Resulting Numbers: [11, 49]
Generated Node #3: [11, 49] from Operation: 75-26=49
Current State: 60:[11, 49], Operations: ['63-52=11', '75-26=49']
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
33,
30,
3,
90
] | 73 | [
"30+90=120",
"120/3=40",
"33+40=73"
] | Current State: 73:[33, 30, 3, 90], Operations: []
Exploring Operation: 30+90=120, Resulting Numbers: [33, 3, 120]
Generated Node #2: [33, 3, 120] from Operation: 30+90=120
Current State: 73:[33, 3, 120], Operations: ['30+90=120']
Exploring Operation: 120/3=40, Resulting Numbers: [33, 40]
Generated Node #3: [33, 40] from Operation: 120/3=40
Current State: 73:[33, 40], Operations: ['30+90=120', '120/3=40']
Exploring Operation: 33+40=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
70,
39,
97,
29
] | 35 | [
"70*29=2030",
"97-39=58",
"2030/58=35"
] | Current State: 35:[70, 39, 97, 29], Operations: []
Exploring Operation: 70*29=2030, Resulting Numbers: [39, 97, 2030]
Generated Node #2: [39, 97, 2030] from Operation: 70*29=2030
Current State: 35:[39, 97, 2030], Operations: ['70*29=2030']
Exploring Operation: 97-39=58, Resulting Numbers: [2030, 58]
Generated Node #3: [2030, 58] from Operation: 97-39=58
Current State: 35:[2030, 58], Operations: ['70*29=2030', '97-39=58']
Exploring Operation: 2030/58=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
98,
15,
74,
1
] | 67 | [
"15-1=14",
"98/14=7",
"74-7=67"
] | Current State: 67:[98, 15, 74, 1], Operations: []
Exploring Operation: 15-1=14, Resulting Numbers: [98, 74, 14]
Generated Node #2: [98, 74, 14] from Operation: 15-1=14
Current State: 67:[98, 74, 14], Operations: ['15-1=14']
Exploring Operation: 98/14=7, Resulting Numbers: [74, 7]
Generated Node #3: [74, 7] from Operation: 98/14=7
Current State: 67:[74, 7], Operations: ['15-1=14', '98/14=7']
Exploring Operation: 74-7=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
66,
83,
2,
95
] | 41 | [
"66+83=149",
"2*95=190",
"190-149=41"
] | Current State: 41:[66, 83, 2, 95], Operations: []
Exploring Operation: 66+83=149, Resulting Numbers: [2, 95, 149]
Generated Node #2: [2, 95, 149] from Operation: 66+83=149
Current State: 41:[2, 95, 149], Operations: ['66+83=149']
Exploring Operation: 2*95=190, Resulting Numbers: [149, 190]
Generated Node #3: [149, 190] from Operation: 2*95=190
Current State: 41:[149, 190], Operations: ['66+83=149', '2*95=190']
Exploring Operation: 190-149=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
31,
19,
79,
35
] | 94 | [
"31+19=50",
"79-35=44",
"50+44=94"
] | Current State: 94:[31, 19, 79, 35], Operations: []
Exploring Operation: 31+19=50, Resulting Numbers: [79, 35, 50]
Generated Node #2: [79, 35, 50] from Operation: 31+19=50
Current State: 94:[79, 35, 50], Operations: ['31+19=50']
Exploring Operation: 79-35=44, Resulting Numbers: [50, 44]
Generated Node #3: [50, 44] from Operation: 79-35=44
Current State: 94:[50, 44], Operations: ['31+19=50', '79-35=44']
Exploring Operation: 50+44=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
26,
39,
33,
61
] | 29 | [
"26+39=65",
"33+61=94",
"94-65=29"
] | Current State: 29:[26, 39, 33, 61], Operations: []
Exploring Operation: 26+39=65, Resulting Numbers: [33, 61, 65]
Generated Node #2: [33, 61, 65] from Operation: 26+39=65
Current State: 29:[33, 61, 65], Operations: ['26+39=65']
Exploring Operation: 33+61=94, Resulting Numbers: [65, 94]
Generated Node #3: [65, 94] from Operation: 33+61=94
Current State: 29:[65, 94], Operations: ['26+39=65', '33+61=94']
Exploring Operation: 94-65=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
55,
71,
45,
52
] | 64 | [
"55-52=3",
"45*3=135",
"135-71=64"
] | Current State: 64:[55, 71, 45, 52], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [71, 45, 3]
Generated Node #2: [71, 45, 3] from Operation: 55-52=3
Current State: 64:[71, 45, 3], Operations: ['55-52=3']
Exploring Operation: 45*3=135, Resulting Numbers: [71, 135]
Generated Node #3: [71, 135] from Operation: 45*3=135
Current State: 64:[71, 135], Operations: ['55-52=3', '45*3=135']
Exploring Operation: 135-71=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
77,
42,
54,
48
] | 51 | [
"77*54=4158",
"4158/42=99",
"99-48=51"
] | Current State: 51:[77, 42, 54, 48], Operations: []
Exploring Operation: 77*54=4158, Resulting Numbers: [42, 48, 4158]
Generated Node #2: [42, 48, 4158] from Operation: 77*54=4158
Current State: 51:[42, 48, 4158], Operations: ['77*54=4158']
Exploring Operation: 4158/42=99, Resulting Numbers: [48, 99]
Generated Node #3: [48, 99] from Operation: 4158/42=99
Current State: 51:[48, 99], Operations: ['77*54=4158', '4158/42=99']
Exploring Operation: 99-48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
18,
48,
38,
31
] | 73 | [
"18+48=66",
"38-31=7",
"66+7=73"
] | Current State: 73:[18, 48, 38, 31], Operations: []
Exploring Operation: 18+48=66, Resulting Numbers: [38, 31, 66]
Generated Node #2: [38, 31, 66] from Operation: 18+48=66
Current State: 73:[38, 31, 66], Operations: ['18+48=66']
Exploring Operation: 38-31=7, Resulting Numbers: [66, 7]
Generated Node #3: [66, 7] from Operation: 38-31=7
Current State: 73:[66, 7], Operations: ['18+48=66', '38-31=7']
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
19,
16,
51,
82
] | 80 | [
"51-19=32",
"32/16=2",
"82-2=80"
] | Current State: 80:[19, 16, 51, 82], Operations: []
Exploring Operation: 51-19=32, Resulting Numbers: [16, 82, 32]
Generated Node #2: [16, 82, 32] from Operation: 51-19=32
Current State: 80:[16, 82, 32], Operations: ['51-19=32']
Exploring Operation: 32/16=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 32/16=2
Current State: 80:[82, 2], Operations: ['51-19=32', '32/16=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
3,
78,
13,
78
] | 40 | [
"3*13=39",
"78/78=1",
"39+1=40"
] | Current State: 40:[3, 78, 13, 78], Operations: []
Exploring Operation: 3*13=39, Resulting Numbers: [78, 78, 39]
Generated Node #2: [78, 78, 39] from Operation: 3*13=39
Current State: 40:[78, 78, 39], Operations: ['3*13=39']
Exploring Operation: 78/78=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 78/78=1
Current State: 40:[39, 1], Operations: ['3*13=39', '78/78=1']
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
3,
48,
18,
38
] | 11 | [
"48-3=45",
"18+38=56",
"56-45=11"
] | Current State: 11:[3, 48, 18, 38], Operations: []
Exploring Operation: 48-3=45, Resulting Numbers: [18, 38, 45]
Generated Node #2: [18, 38, 45] from Operation: 48-3=45
Current State: 11:[18, 38, 45], Operations: ['48-3=45']
Exploring Operation: 18+38=56, Resulting Numbers: [45, 56]
Generated Node #3: [45, 56] from Operation: 18+38=56
Current State: 11:[45, 56], Operations: ['48-3=45', '18+38=56']
Exploring Operation: 56-45=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
92,
77,
25,
54
] | 29 | [
"77-54=23",
"92/23=4",
"25+4=29"
] | Current State: 29:[92, 77, 25, 54], Operations: []
Exploring Operation: 77-54=23, Resulting Numbers: [92, 25, 23]
Generated Node #2: [92, 25, 23] from Operation: 77-54=23
Current State: 29:[92, 25, 23], Operations: ['77-54=23']
Exploring Operation: 92/23=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 92/23=4
Current State: 29:[25, 4], Operations: ['77-54=23', '92/23=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
84,
74,
93,
27
] | 38 | [
"84+74=158",
"93+27=120",
"158-120=38"
] | Current State: 38:[84, 74, 93, 27], Operations: []
Exploring Operation: 84+74=158, Resulting Numbers: [93, 27, 158]
Generated Node #2: [93, 27, 158] from Operation: 84+74=158
Current State: 38:[93, 27, 158], Operations: ['84+74=158']
Exploring Operation: 93+27=120, Resulting Numbers: [158, 120]
Generated Node #3: [158, 120] from Operation: 93+27=120
Current State: 38:[158, 120], Operations: ['84+74=158', '93+27=120']
Exploring Operation: 158-120=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
97,
54,
16,
10
] | 90 | [
"54+16=70",
"70/10=7",
"97-7=90"
] | Current State: 90:[97, 54, 16, 10], Operations: []
Exploring Operation: 54+16=70, Resulting Numbers: [97, 10, 70]
Generated Node #2: [97, 10, 70] from Operation: 54+16=70
Current State: 90:[97, 10, 70], Operations: ['54+16=70']
Exploring Operation: 70/10=7, Resulting Numbers: [97, 7]
Generated Node #3: [97, 7] from Operation: 70/10=7
Current State: 90:[97, 7], Operations: ['54+16=70', '70/10=7']
Exploring Operation: 97-7=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
82,
48,
43,
90
] | 64 | [
"48-43=5",
"90/5=18",
"82-18=64"
] | Current State: 64:[82, 48, 43, 90], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [82, 90, 5]
Generated Node #2: [82, 90, 5] from Operation: 48-43=5
Current State: 64:[82, 90, 5], Operations: ['48-43=5']
Exploring Operation: 90/5=18, Resulting Numbers: [82, 18]
Generated Node #3: [82, 18] from Operation: 90/5=18
Current State: 64:[82, 18], Operations: ['48-43=5', '90/5=18']
Exploring Operation: 82-18=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
35,
68,
13,
82
] | 34 | [
"35+68=103",
"82-13=69",
"103-69=34"
] | Current State: 34:[35, 68, 13, 82], Operations: []
Exploring Operation: 35+68=103, Resulting Numbers: [13, 82, 103]
Generated Node #2: [13, 82, 103] from Operation: 35+68=103
Current State: 34:[13, 82, 103], Operations: ['35+68=103']
Exploring Operation: 82-13=69, Resulting Numbers: [103, 69]
Generated Node #3: [103, 69] from Operation: 82-13=69
Current State: 34:[103, 69], Operations: ['35+68=103', '82-13=69']
Exploring Operation: 103-69=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
1,
81,
76,
84
] | 80 | [
"81-1=80",
"76+84=160",
"160-80=80"
] | Current State: 80:[1, 81, 76, 84], Operations: []
Exploring Operation: 81-1=80, Resulting Numbers: [76, 84, 80]
Generated Node #2: [76, 84, 80] from Operation: 81-1=80
Current State: 80:[76, 84, 80], Operations: ['81-1=80']
Exploring Operation: 76+84=160, Resulting Numbers: [80, 160]
Generated Node #3: [80, 160] from Operation: 76+84=160
Current State: 80:[80, 160], Operations: ['81-1=80', '76+84=160']
Exploring Operation: 160-80=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
10,
46,
7,
48
] | 37 | [
"46*7=322",
"48+322=370",
"370/10=37"
] | Current State: 37:[10, 46, 7, 48], Operations: []
Exploring Operation: 46*7=322, Resulting Numbers: [10, 48, 322]
Generated Node #2: [10, 48, 322] from Operation: 46*7=322
Current State: 37:[10, 48, 322], Operations: ['46*7=322']
Exploring Operation: 48+322=370, Resulting Numbers: [10, 370]
Generated Node #3: [10, 370] from Operation: 48+322=370
Current State: 37:[10, 370], Operations: ['46*7=322', '48+322=370']
Exploring Operation: 370/10=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
75,
71,
6,
74
] | 84 | [
"75-71=4",
"6+74=80",
"4+80=84"
] | Current State: 84:[75, 71, 6, 74], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [6, 74, 4]
Generated Node #2: [6, 74, 4] from Operation: 75-71=4
Current State: 84:[6, 74, 4], Operations: ['75-71=4']
Exploring Operation: 6+74=80, Resulting Numbers: [4, 80]
Generated Node #3: [4, 80] from Operation: 6+74=80
Current State: 84:[4, 80], Operations: ['75-71=4', '6+74=80']
Exploring Operation: 4+80=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
5,
42,
38,
31
] | 30 | [
"5*42=210",
"38-31=7",
"210/7=30"
] | Current State: 30:[5, 42, 38, 31], Operations: []
Exploring Operation: 5*42=210, Resulting Numbers: [38, 31, 210]
Generated Node #2: [38, 31, 210] from Operation: 5*42=210
Current State: 30:[38, 31, 210], Operations: ['5*42=210']
Exploring Operation: 38-31=7, Resulting Numbers: [210, 7]
Generated Node #3: [210, 7] from Operation: 38-31=7
Current State: 30:[210, 7], Operations: ['5*42=210', '38-31=7']
Exploring Operation: 210/7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
81,
10,
90,
75
] | 75 | [
"81+10=91",
"91-90=1",
"75*1=75"
] | Current State: 75:[81, 10, 90, 75], Operations: []
Exploring Operation: 81+10=91, Resulting Numbers: [90, 75, 91]
Generated Node #2: [90, 75, 91] from Operation: 81+10=91
Current State: 75:[90, 75, 91], Operations: ['81+10=91']
Exploring Operation: 91-90=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 91-90=1
Current State: 75:[75, 1], Operations: ['81+10=91', '91-90=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
18,
8,
8,
16
] | 16 | [
"18*8=144",
"8*16=128",
"144-128=16"
] | Current State: 16:[18, 8, 8, 16], Operations: []
Exploring Operation: 18*8=144, Resulting Numbers: [16, 144]
Generated Node #2: [16, 144] from Operation: 18*8=144
Current State: 16:[16, 144], Operations: ['18*8=144']
Exploring Operation: 8*16=128, Resulting Numbers: [144, 128]
Generated Node #3: [144, 128] from Operation: 8*16=128
Current State: 16:[144, 128], Operations: ['18*8=144', '8*16=128']
Exploring Operation: 144-128=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
20,
2,
6,
27
] | 25 | [
"20+6=26",
"2*26=52",
"52-27=25"
] | Current State: 25:[20, 2, 6, 27], Operations: []
Exploring Operation: 20+6=26, Resulting Numbers: [2, 27, 26]
Generated Node #2: [2, 27, 26] from Operation: 20+6=26
Current State: 25:[2, 27, 26], Operations: ['20+6=26']
Exploring Operation: 2*26=52, Resulting Numbers: [27, 52]
Generated Node #3: [27, 52] from Operation: 2*26=52
Current State: 25:[27, 52], Operations: ['20+6=26', '2*26=52']
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
35,
7,
50,
37
] | 27 | [
"35/7=5",
"50/5=10",
"37-10=27"
] | Current State: 27:[35, 7, 50, 37], Operations: []
Exploring Operation: 35/7=5, Resulting Numbers: [50, 37, 5]
Generated Node #2: [50, 37, 5] from Operation: 35/7=5
Current State: 27:[50, 37, 5], Operations: ['35/7=5']
Exploring Operation: 50/5=10, Resulting Numbers: [37, 10]
Generated Node #3: [37, 10] from Operation: 50/5=10
Current State: 27:[37, 10], Operations: ['35/7=5', '50/5=10']
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
56,
63,
70,
16
] | 38 | [
"63+70=133",
"16*133=2128",
"2128/56=38"
] | Current State: 38:[56, 63, 70, 16], Operations: []
Exploring Operation: 63+70=133, Resulting Numbers: [56, 16, 133]
Generated Node #2: [56, 16, 133] from Operation: 63+70=133
Current State: 38:[56, 16, 133], Operations: ['63+70=133']
Exploring Operation: 16*133=2128, Resulting Numbers: [56, 2128]
Generated Node #3: [56, 2128] from Operation: 16*133=2128
Current State: 38:[56, 2128], Operations: ['63+70=133', '16*133=2128']
Exploring Operation: 2128/56=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
38,
94,
78,
63
] | 71 | [
"94-38=56",
"78-63=15",
"56+15=71"
] | Current State: 71:[38, 94, 78, 63], Operations: []
Exploring Operation: 94-38=56, Resulting Numbers: [78, 63, 56]
Generated Node #2: [78, 63, 56] from Operation: 94-38=56
Current State: 71:[78, 63, 56], Operations: ['94-38=56']
Exploring Operation: 78-63=15, Resulting Numbers: [56, 15]
Generated Node #3: [56, 15] from Operation: 78-63=15
Current State: 71:[56, 15], Operations: ['94-38=56', '78-63=15']
Exploring Operation: 56+15=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
6,
8,
41,
6
] | 48 | [
"6/6=1",
"8+41=49",
"49-1=48"
] | Current State: 48:[6, 8, 41, 6], Operations: []
Exploring Operation: 6/6=1, Resulting Numbers: [8, 41, 1]
Generated Node #2: [8, 41, 1] from Operation: 6/6=1
Current State: 48:[8, 41, 1], Operations: ['6/6=1']
Exploring Operation: 8+41=49, Resulting Numbers: [1, 49]
Generated Node #3: [1, 49] from Operation: 8+41=49
Current State: 48:[1, 49], Operations: ['6/6=1', '8+41=49']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
29,
50,
50,
81
] | 53 | [
"81-29=52",
"50/50=1",
"52+1=53"
] | Current State: 53:[29, 50, 50, 81], Operations: []
Exploring Operation: 81-29=52, Resulting Numbers: [50, 50, 52]
Generated Node #2: [50, 50, 52] from Operation: 81-29=52
Current State: 53:[50, 50, 52], Operations: ['81-29=52']
Exploring Operation: 50/50=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 50/50=1
Current State: 53:[52, 1], Operations: ['81-29=52', '50/50=1']
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
33,
93,
27,
11
] | 13 | [
"93-27=66",
"66/33=2",
"11+2=13"
] | Current State: 13:[33, 93, 27, 11], Operations: []
Exploring Operation: 93-27=66, Resulting Numbers: [33, 11, 66]
Generated Node #2: [33, 11, 66] from Operation: 93-27=66
Current State: 13:[33, 11, 66], Operations: ['93-27=66']
Exploring Operation: 66/33=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 66/33=2
Current State: 13:[11, 2], Operations: ['93-27=66', '66/33=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
7,
34,
59,
46
] | 14 | [
"34-7=27",
"59-46=13",
"27-13=14"
] | Current State: 14:[7, 34, 59, 46], Operations: []
Exploring Operation: 34-7=27, Resulting Numbers: [59, 46, 27]
Generated Node #2: [59, 46, 27] from Operation: 34-7=27
Current State: 14:[59, 46, 27], Operations: ['34-7=27']
Exploring Operation: 59-46=13, Resulting Numbers: [27, 13]
Generated Node #3: [27, 13] from Operation: 59-46=13
Current State: 14:[27, 13], Operations: ['34-7=27', '59-46=13']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
63,
2,
17,
37
] | 11 | [
"63+2=65",
"17+37=54",
"65-54=11"
] | Current State: 11:[63, 2, 17, 37], Operations: []
Exploring Operation: 63+2=65, Resulting Numbers: [17, 37, 65]
Generated Node #2: [17, 37, 65] from Operation: 63+2=65
Current State: 11:[17, 37, 65], Operations: ['63+2=65']
Exploring Operation: 17+37=54, Resulting Numbers: [65, 54]
Generated Node #3: [65, 54] from Operation: 17+37=54
Current State: 11:[65, 54], Operations: ['63+2=65', '17+37=54']
Exploring Operation: 65-54=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
30,
28,
56,
89
] | 91 | [
"30+28=58",
"89-56=33",
"58+33=91"
] | Current State: 91:[30, 28, 56, 89], Operations: []
Exploring Operation: 30+28=58, Resulting Numbers: [56, 89, 58]
Generated Node #2: [56, 89, 58] from Operation: 30+28=58
Current State: 91:[56, 89, 58], Operations: ['30+28=58']
Exploring Operation: 89-56=33, Resulting Numbers: [58, 33]
Generated Node #3: [58, 33] from Operation: 89-56=33
Current State: 91:[58, 33], Operations: ['30+28=58', '89-56=33']
Exploring Operation: 58+33=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
33,
35,
40,
41
] | 42 | [
"35-33=2",
"41*2=82",
"82-40=42"
] | Current State: 42:[33, 35, 40, 41], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [40, 41, 2]
Generated Node #2: [40, 41, 2] from Operation: 35-33=2
Current State: 42:[40, 41, 2], Operations: ['35-33=2']
Exploring Operation: 41*2=82, Resulting Numbers: [40, 82]
Generated Node #3: [40, 82] from Operation: 41*2=82
Current State: 42:[40, 82], Operations: ['35-33=2', '41*2=82']
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
75,
14,
11,
16
] | 97 | [
"16-14=2",
"11*2=22",
"75+22=97"
] | Current State: 97:[75, 14, 11, 16], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [75, 11, 2]
Generated Node #2: [75, 11, 2] from Operation: 16-14=2
Current State: 97:[75, 11, 2], Operations: ['16-14=2']
Exploring Operation: 11*2=22, Resulting Numbers: [75, 22]
Generated Node #3: [75, 22] from Operation: 11*2=22
Current State: 97:[75, 22], Operations: ['16-14=2', '11*2=22']
Exploring Operation: 75+22=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
20,
33,
5,
67
] | 66 | [
"20*5=100",
"67-33=34",
"100-34=66"
] | Current State: 66:[20, 33, 5, 67], Operations: []
Exploring Operation: 20*5=100, Resulting Numbers: [33, 67, 100]
Generated Node #2: [33, 67, 100] from Operation: 20*5=100
Current State: 66:[33, 67, 100], Operations: ['20*5=100']
Exploring Operation: 67-33=34, Resulting Numbers: [100, 34]
Generated Node #3: [100, 34] from Operation: 67-33=34
Current State: 66:[100, 34], Operations: ['20*5=100', '67-33=34']
Exploring Operation: 100-34=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
52,
39,
65,
55
] | 78 | [
"55-52=3",
"65-39=26",
"3*26=78"
] | Current State: 78:[52, 39, 65, 55], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [39, 65, 3]
Generated Node #2: [39, 65, 3] from Operation: 55-52=3
Current State: 78:[39, 65, 3], Operations: ['55-52=3']
Exploring Operation: 65-39=26, Resulting Numbers: [3, 26]
Generated Node #3: [3, 26] from Operation: 65-39=26
Current State: 78:[3, 26], Operations: ['55-52=3', '65-39=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
1,
87,
9,
75
] | 96 | [
"9-1=8",
"87-75=12",
"8*12=96"
] | Current State: 96:[1, 87, 9, 75], Operations: []
Exploring Operation: 9-1=8, Resulting Numbers: [87, 75, 8]
Generated Node #2: [87, 75, 8] from Operation: 9-1=8
Current State: 96:[87, 75, 8], Operations: ['9-1=8']
Exploring Operation: 87-75=12, Resulting Numbers: [8, 12]
Generated Node #3: [8, 12] from Operation: 87-75=12
Current State: 96:[8, 12], Operations: ['9-1=8', '87-75=12']
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
78,
17,
13,
27
] | 75 | [
"78*17=1326",
"1326/13=102",
"102-27=75"
] | Current State: 75:[78, 17, 13, 27], Operations: []
Exploring Operation: 78*17=1326, Resulting Numbers: [13, 27, 1326]
Generated Node #2: [13, 27, 1326] from Operation: 78*17=1326
Current State: 75:[13, 27, 1326], Operations: ['78*17=1326']
Exploring Operation: 1326/13=102, Resulting Numbers: [27, 102]
Generated Node #3: [27, 102] from Operation: 1326/13=102
Current State: 75:[27, 102], Operations: ['78*17=1326', '1326/13=102']
Exploring Operation: 102-27=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
45,
52,
15,
98
] | 55 | [
"52+98=150",
"150/15=10",
"45+10=55"
] | Current State: 55:[45, 52, 15, 98], Operations: []
Exploring Operation: 52+98=150, Resulting Numbers: [45, 15, 150]
Generated Node #2: [45, 15, 150] from Operation: 52+98=150
Current State: 55:[45, 15, 150], Operations: ['52+98=150']
Exploring Operation: 150/15=10, Resulting Numbers: [45, 10]
Generated Node #3: [45, 10] from Operation: 150/15=10
Current State: 55:[45, 10], Operations: ['52+98=150', '150/15=10']
Exploring Operation: 45+10=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
46,
73,
3,
5
] | 90 | [
"46+5=51",
"51/3=17",
"73+17=90"
] | Current State: 90:[46, 73, 3, 5], Operations: []
Exploring Operation: 46+5=51, Resulting Numbers: [73, 3, 51]
Generated Node #2: [73, 3, 51] from Operation: 46+5=51
Current State: 90:[73, 3, 51], Operations: ['46+5=51']
Exploring Operation: 51/3=17, Resulting Numbers: [73, 17]
Generated Node #3: [73, 17] from Operation: 51/3=17
Current State: 90:[73, 17], Operations: ['46+5=51', '51/3=17']
Exploring Operation: 73+17=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
77,
30,
96,
11
] | 38 | [
"77-30=47",
"96-11=85",
"85-47=38"
] | Current State: 38:[77, 30, 96, 11], Operations: []
Exploring Operation: 77-30=47, Resulting Numbers: [96, 11, 47]
Generated Node #2: [96, 11, 47] from Operation: 77-30=47
Current State: 38:[96, 11, 47], Operations: ['77-30=47']
Exploring Operation: 96-11=85, Resulting Numbers: [47, 85]
Generated Node #3: [47, 85] from Operation: 96-11=85
Current State: 38:[47, 85], Operations: ['77-30=47', '96-11=85']
Exploring Operation: 85-47=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
87,
5,
53,
67
] | 57 | [
"87-67=20",
"20/5=4",
"53+4=57"
] | Current State: 57:[87, 5, 53, 67], Operations: []
Exploring Operation: 87-67=20, Resulting Numbers: [5, 53, 20]
Generated Node #2: [5, 53, 20] from Operation: 87-67=20
Current State: 57:[5, 53, 20], Operations: ['87-67=20']
Exploring Operation: 20/5=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 20/5=4
Current State: 57:[53, 4], Operations: ['87-67=20', '20/5=4']
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
74,
81,
30,
94
] | 71 | [
"81-74=7",
"94-30=64",
"7+64=71"
] | Current State: 71:[74, 81, 30, 94], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [30, 94, 7]
Generated Node #2: [30, 94, 7] from Operation: 81-74=7
Current State: 71:[30, 94, 7], Operations: ['81-74=7']
Exploring Operation: 94-30=64, Resulting Numbers: [7, 64]
Generated Node #3: [7, 64] from Operation: 94-30=64
Current State: 71:[7, 64], Operations: ['81-74=7', '94-30=64']
Exploring Operation: 7+64=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
65,
86,
27,
23
] | 17 | [
"86-65=21",
"27-23=4",
"21-4=17"
] | Current State: 17:[65, 86, 27, 23], Operations: []
Exploring Operation: 86-65=21, Resulting Numbers: [27, 23, 21]
Generated Node #2: [27, 23, 21] from Operation: 86-65=21
Current State: 17:[27, 23, 21], Operations: ['86-65=21']
Exploring Operation: 27-23=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 27-23=4
Current State: 17:[21, 4], Operations: ['86-65=21', '27-23=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
70,
18,
3,
53
] | 71 | [
"70+18=88",
"3*53=159",
"159-88=71"
] | Current State: 71:[70, 18, 3, 53], Operations: []
Exploring Operation: 70+18=88, Resulting Numbers: [3, 53, 88]
Generated Node #2: [3, 53, 88] from Operation: 70+18=88
Current State: 71:[3, 53, 88], Operations: ['70+18=88']
Exploring Operation: 3*53=159, Resulting Numbers: [88, 159]
Generated Node #3: [88, 159] from Operation: 3*53=159
Current State: 71:[88, 159], Operations: ['70+18=88', '3*53=159']
Exploring Operation: 159-88=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
64,
54,
17,
15
] | 27 | [
"17+15=32",
"64/32=2",
"54/2=27"
] | Current State: 27:[64, 54, 17, 15], Operations: []
Exploring Operation: 17+15=32, Resulting Numbers: [64, 54, 32]
Generated Node #2: [64, 54, 32] from Operation: 17+15=32
Current State: 27:[64, 54, 32], Operations: ['17+15=32']
Exploring Operation: 64/32=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 64/32=2
Current State: 27:[54, 2], Operations: ['17+15=32', '64/32=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
89,
27,
85,
92
] | 76 | [
"92-89=3",
"27/3=9",
"85-9=76"
] | Current State: 76:[89, 27, 85, 92], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [27, 85, 3]
Generated Node #2: [27, 85, 3] from Operation: 92-89=3
Current State: 76:[27, 85, 3], Operations: ['92-89=3']
Exploring Operation: 27/3=9, Resulting Numbers: [85, 9]
Generated Node #3: [85, 9] from Operation: 27/3=9
Current State: 76:[85, 9], Operations: ['92-89=3', '27/3=9']
Exploring Operation: 85-9=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
84,
43,
2,
84
] | 44 | [
"84/84=1",
"43+2=45",
"45-1=44"
] | Current State: 44:[84, 43, 2, 84], Operations: []
Exploring Operation: 84/84=1, Resulting Numbers: [43, 2, 1]
Generated Node #2: [43, 2, 1] from Operation: 84/84=1
Current State: 44:[43, 2, 1], Operations: ['84/84=1']
Exploring Operation: 43+2=45, Resulting Numbers: [1, 45]
Generated Node #3: [1, 45] from Operation: 43+2=45
Current State: 44:[1, 45], Operations: ['84/84=1', '43+2=45']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
77,
63,
79,
18
] | 43 | [
"77+63=140",
"79+18=97",
"140-97=43"
] | Current State: 43:[77, 63, 79, 18], Operations: []
Exploring Operation: 77+63=140, Resulting Numbers: [79, 18, 140]
Generated Node #2: [79, 18, 140] from Operation: 77+63=140
Current State: 43:[79, 18, 140], Operations: ['77+63=140']
Exploring Operation: 79+18=97, Resulting Numbers: [140, 97]
Generated Node #3: [140, 97] from Operation: 79+18=97
Current State: 43:[140, 97], Operations: ['77+63=140', '79+18=97']
Exploring Operation: 140-97=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
90,
2,
24,
11
] | 10 | [
"90/2=45",
"24+11=35",
"45-35=10"
] | Current State: 10:[90, 2, 24, 11], Operations: []
Exploring Operation: 90/2=45, Resulting Numbers: [24, 11, 45]
Generated Node #2: [24, 11, 45] from Operation: 90/2=45
Current State: 10:[24, 11, 45], Operations: ['90/2=45']
Exploring Operation: 24+11=35, Resulting Numbers: [45, 35]
Generated Node #3: [45, 35] from Operation: 24+11=35
Current State: 10:[45, 35], Operations: ['90/2=45', '24+11=35']
Exploring Operation: 45-35=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
35,
63,
96,
32
] | 36 | [
"63-35=28",
"96-32=64",
"64-28=36"
] | Current State: 36:[35, 63, 96, 32], Operations: []
Exploring Operation: 63-35=28, Resulting Numbers: [96, 32, 28]
Generated Node #2: [96, 32, 28] from Operation: 63-35=28
Current State: 36:[96, 32, 28], Operations: ['63-35=28']
Exploring Operation: 96-32=64, Resulting Numbers: [28, 64]
Generated Node #3: [28, 64] from Operation: 96-32=64
Current State: 36:[28, 64], Operations: ['63-35=28', '96-32=64']
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
68,
61,
86,
6
] | 82 | [
"86-61=25",
"6*25=150",
"150-68=82"
] | Current State: 82:[68, 61, 86, 6], Operations: []
Exploring Operation: 86-61=25, Resulting Numbers: [68, 6, 25]
Generated Node #2: [68, 6, 25] from Operation: 86-61=25
Current State: 82:[68, 6, 25], Operations: ['86-61=25']
Exploring Operation: 6*25=150, Resulting Numbers: [68, 150]
Generated Node #3: [68, 150] from Operation: 6*25=150
Current State: 82:[68, 150], Operations: ['86-61=25', '6*25=150']
Exploring Operation: 150-68=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
3,
78,
12,
7
] | 87 | [
"3*7=21",
"78-12=66",
"21+66=87"
] | Current State: 87:[3, 78, 12, 7], Operations: []
Exploring Operation: 3*7=21, Resulting Numbers: [78, 12, 21]
Generated Node #2: [78, 12, 21] from Operation: 3*7=21
Current State: 87:[78, 12, 21], Operations: ['3*7=21']
Exploring Operation: 78-12=66, Resulting Numbers: [21, 66]
Generated Node #3: [21, 66] from Operation: 78-12=66
Current State: 87:[21, 66], Operations: ['3*7=21', '78-12=66']
Exploring Operation: 21+66=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
20,
73,
39,
17
] | 71 | [
"20+73=93",
"39-17=22",
"93-22=71"
] | Current State: 71:[20, 73, 39, 17], Operations: []
Exploring Operation: 20+73=93, Resulting Numbers: [39, 17, 93]
Generated Node #2: [39, 17, 93] from Operation: 20+73=93
Current State: 71:[39, 17, 93], Operations: ['20+73=93']
Exploring Operation: 39-17=22, Resulting Numbers: [93, 22]
Generated Node #3: [93, 22] from Operation: 39-17=22
Current State: 71:[93, 22], Operations: ['20+73=93', '39-17=22']
Exploring Operation: 93-22=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
74,
46,
92,
95
] | 58 | [
"74*46=3404",
"3404/92=37",
"95-37=58"
] | Current State: 58:[74, 46, 92, 95], Operations: []
Exploring Operation: 74*46=3404, Resulting Numbers: [92, 95, 3404]
Generated Node #2: [92, 95, 3404] from Operation: 74*46=3404
Current State: 58:[92, 95, 3404], Operations: ['74*46=3404']
Exploring Operation: 3404/92=37, Resulting Numbers: [95, 37]
Generated Node #3: [95, 37] from Operation: 3404/92=37
Current State: 58:[95, 37], Operations: ['74*46=3404', '3404/92=37']
Exploring Operation: 95-37=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
92,
66,
99,
72
] | 66 | [
"92*99=9108",
"66+72=138",
"9108/138=66"
] | Current State: 66:[92, 66, 99, 72], Operations: []
Exploring Operation: 92*99=9108, Resulting Numbers: [66, 72, 9108]
Generated Node #2: [66, 72, 9108] from Operation: 92*99=9108
Current State: 66:[66, 72, 9108], Operations: ['92*99=9108']
Exploring Operation: 66+72=138, Resulting Numbers: [9108, 138]
Generated Node #3: [9108, 138] from Operation: 66+72=138
Current State: 66:[9108, 138], Operations: ['92*99=9108', '66+72=138']
Exploring Operation: 9108/138=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
69,
69,
52,
67
] | 14 | [
"69/69=1",
"67-52=15",
"15-1=14"
] | Current State: 14:[69, 69, 52, 67], Operations: []
Exploring Operation: 69/69=1, Resulting Numbers: [52, 67, 1]
Generated Node #2: [52, 67, 1] from Operation: 69/69=1
Current State: 14:[52, 67, 1], Operations: ['69/69=1']
Exploring Operation: 67-52=15, Resulting Numbers: [1, 15]
Generated Node #3: [1, 15] from Operation: 67-52=15
Current State: 14:[1, 15], Operations: ['69/69=1', '67-52=15']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
7,
35,
63,
47
] | 21 | [
"35/7=5",
"63-47=16",
"5+16=21"
] | Current State: 21:[7, 35, 63, 47], Operations: []
Exploring Operation: 35/7=5, Resulting Numbers: [63, 47, 5]
Generated Node #2: [63, 47, 5] from Operation: 35/7=5
Current State: 21:[63, 47, 5], Operations: ['35/7=5']
Exploring Operation: 63-47=16, Resulting Numbers: [5, 16]
Generated Node #3: [5, 16] from Operation: 63-47=16
Current State: 21:[5, 16], Operations: ['35/7=5', '63-47=16']
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
7,
13,
24,
17
] | 68 | [
"7+13=20",
"24-20=4",
"17*4=68"
] | Current State: 68:[7, 13, 24, 17], Operations: []
Exploring Operation: 7+13=20, Resulting Numbers: [24, 17, 20]
Generated Node #2: [24, 17, 20] from Operation: 7+13=20
Current State: 68:[24, 17, 20], Operations: ['7+13=20']
Exploring Operation: 24-20=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 24-20=4
Current State: 68:[17, 4], Operations: ['7+13=20', '24-20=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
58,
43,
53,
43
] | 53 | [
"43-43=0",
"58*0=0",
"53+0=53"
] | Current State: 53:[58, 43, 53, 43], Operations: []
Exploring Operation: 43-43=0, Resulting Numbers: [58, 53, 0]
Generated Node #2: [58, 53, 0] from Operation: 43-43=0
Current State: 53:[58, 53, 0], Operations: ['43-43=0']
Exploring Operation: 58*0=0, Resulting Numbers: [53, 0]
Generated Node #3: [53, 0] from Operation: 58*0=0
Current State: 53:[53, 0], Operations: ['43-43=0', '58*0=0']
Exploring Operation: 53+0=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
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