nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
37,
29,
36,
28
] | 73 | [
"37+36=73",
"29-28=1",
"73*1=73"
] | Current State: 73:[37, 29, 36, 28], Operations: []
Exploring Operation: 37+36=73, Resulting Numbers: [29, 28, 73]
Generated Node #2: [29, 28, 73] from Operation: 37+36=73
Current State: 73:[29, 28, 73], Operations: ['37+36=73']
Exploring Operation: 29-28=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 29-28=1
Current State: 73:[73, 1], Operations: ['37+36=73', '29-28=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
10,
60,
90,
47
] | 98 | [
"90/10=9",
"60+47=107",
"107-9=98"
] | Current State: 98:[10, 60, 90, 47], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [60, 47, 9]
Generated Node #2: [60, 47, 9] from Operation: 90/10=9
Current State: 98:[60, 47, 9], Operations: ['90/10=9']
Exploring Operation: 60+47=107, Resulting Numbers: [9, 107]
Generated Node #3: [9, 107] from Operation: 60+47=107
Current State: 98:[9, 107], Operations: ['90/10=9', '60+47=107']
Exploring Operation: 107-9=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
39,
8,
71,
73
] | 55 | [
"73-71=2",
"8*2=16",
"39+16=55"
] | Current State: 55:[39, 8, 71, 73], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [39, 8, 2]
Generated Node #2: [39, 8, 2] from Operation: 73-71=2
Current State: 55:[39, 8, 2], Operations: ['73-71=2']
Exploring Operation: 8*2=16, Resulting Numbers: [39, 16]
Generated Node #3: [39, 16] from Operation: 8*2=16
Current State: 55:[39, 16], Operations: ['73-71=2', '8*2=16']
Exploring Operation: 39+16=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
57,
45,
5,
18
] | 11 | [
"57-45=12",
"5+18=23",
"23-12=11"
] | Current State: 11:[57, 45, 5, 18], Operations: []
Exploring Operation: 57-45=12, Resulting Numbers: [5, 18, 12]
Generated Node #2: [5, 18, 12] from Operation: 57-45=12
Current State: 11:[5, 18, 12], Operations: ['57-45=12']
Exploring Operation: 5+18=23, Resulting Numbers: [12, 23]
Generated Node #3: [12, 23] from Operation: 5+18=23
Current State: 11:[12, 23], Operations: ['57-45=12', '5+18=23']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
47,
96,
5,
80
] | 69 | [
"80-47=33",
"5*33=165",
"165-96=69"
] | Current State: 69:[47, 96, 5, 80], Operations: []
Exploring Operation: 80-47=33, Resulting Numbers: [96, 5, 33]
Generated Node #2: [96, 5, 33] from Operation: 80-47=33
Current State: 69:[96, 5, 33], Operations: ['80-47=33']
Exploring Operation: 5*33=165, Resulting Numbers: [96, 165]
Generated Node #3: [96, 165] from Operation: 5*33=165
Current State: 69:[96, 165], Operations: ['80-47=33', '5*33=165']
Exploring Operation: 165-96=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
35,
30,
37,
63
] | 31 | [
"35-30=5",
"63-37=26",
"5+26=31"
] | Current State: 31:[35, 30, 37, 63], Operations: []
Exploring Operation: 35-30=5, Resulting Numbers: [37, 63, 5]
Generated Node #2: [37, 63, 5] from Operation: 35-30=5
Current State: 31:[37, 63, 5], Operations: ['35-30=5']
Exploring Operation: 63-37=26, Resulting Numbers: [5, 26]
Generated Node #3: [5, 26] from Operation: 63-37=26
Current State: 31:[5, 26], Operations: ['35-30=5', '63-37=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
96,
71,
60,
17
] | 18 | [
"96-71=25",
"60-17=43",
"43-25=18"
] | Current State: 18:[96, 71, 60, 17], Operations: []
Exploring Operation: 96-71=25, Resulting Numbers: [60, 17, 25]
Generated Node #2: [60, 17, 25] from Operation: 96-71=25
Current State: 18:[60, 17, 25], Operations: ['96-71=25']
Exploring Operation: 60-17=43, Resulting Numbers: [25, 43]
Generated Node #3: [25, 43] from Operation: 60-17=43
Current State: 18:[25, 43], Operations: ['96-71=25', '60-17=43']
Exploring Operation: 43-25=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
8,
74,
4,
3
] | 34 | [
"8/4=2",
"74/2=37",
"37-3=34"
] | Current State: 34:[8, 74, 4, 3], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [74, 3, 2]
Generated Node #2: [74, 3, 2] from Operation: 8/4=2
Current State: 34:[74, 3, 2], Operations: ['8/4=2']
Exploring Operation: 74/2=37, Resulting Numbers: [3, 37]
Generated Node #3: [3, 37] from Operation: 74/2=37
Current State: 34:[3, 37], Operations: ['8/4=2', '74/2=37']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
2,
82,
73,
11
] | 53 | [
"2*73=146",
"82+11=93",
"146-93=53"
] | Current State: 53:[2, 82, 73, 11], Operations: []
Exploring Operation: 2*73=146, Resulting Numbers: [82, 11, 146]
Generated Node #2: [82, 11, 146] from Operation: 2*73=146
Current State: 53:[82, 11, 146], Operations: ['2*73=146']
Exploring Operation: 82+11=93, Resulting Numbers: [146, 93]
Generated Node #3: [146, 93] from Operation: 82+11=93
Current State: 53:[146, 93], Operations: ['2*73=146', '82+11=93']
Exploring Operation: 146-93=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
57,
7,
13,
60
] | 97 | [
"57-7=50",
"60-13=47",
"50+47=97"
] | Current State: 97:[57, 7, 13, 60], Operations: []
Exploring Operation: 57-7=50, Resulting Numbers: [13, 60, 50]
Generated Node #2: [13, 60, 50] from Operation: 57-7=50
Current State: 97:[13, 60, 50], Operations: ['57-7=50']
Exploring Operation: 60-13=47, Resulting Numbers: [50, 47]
Generated Node #3: [50, 47] from Operation: 60-13=47
Current State: 97:[50, 47], Operations: ['57-7=50', '60-13=47']
Exploring Operation: 50+47=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
28,
16,
19,
11
] | 100 | [
"19-11=8",
"16*8=128",
"128-28=100"
] | Current State: 100:[28, 16, 19, 11], Operations: []
Exploring Operation: 19-11=8, Resulting Numbers: [28, 16, 8]
Generated Node #2: [28, 16, 8] from Operation: 19-11=8
Current State: 100:[28, 16, 8], Operations: ['19-11=8']
Exploring Operation: 16*8=128, Resulting Numbers: [28, 128]
Generated Node #3: [28, 128] from Operation: 16*8=128
Current State: 100:[28, 128], Operations: ['19-11=8', '16*8=128']
Exploring Operation: 128-28=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
14,
98,
10,
52
] | 42 | [
"98-14=84",
"52-10=42",
"84-42=42"
] | Current State: 42:[14, 98, 10, 52], Operations: []
Exploring Operation: 98-14=84, Resulting Numbers: [10, 52, 84]
Generated Node #2: [10, 52, 84] from Operation: 98-14=84
Current State: 42:[10, 52, 84], Operations: ['98-14=84']
Exploring Operation: 52-10=42, Resulting Numbers: [84, 42]
Generated Node #3: [84, 42] from Operation: 52-10=42
Current State: 42:[84, 42], Operations: ['98-14=84', '52-10=42']
Exploring Operation: 84-42=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
49,
56,
94,
75
] | 26 | [
"56-49=7",
"94-75=19",
"7+19=26"
] | Current State: 26:[49, 56, 94, 75], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [94, 75, 7]
Generated Node #2: [94, 75, 7] from Operation: 56-49=7
Current State: 26:[94, 75, 7], Operations: ['56-49=7']
Exploring Operation: 94-75=19, Resulting Numbers: [7, 19]
Generated Node #3: [7, 19] from Operation: 94-75=19
Current State: 26:[7, 19], Operations: ['56-49=7', '94-75=19']
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
2,
17,
51,
18
] | 42 | [
"51/17=3",
"18+3=21",
"2*21=42"
] | Current State: 42:[2, 17, 51, 18], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [2, 18, 3]
Generated Node #2: [2, 18, 3] from Operation: 51/17=3
Current State: 42:[2, 18, 3], Operations: ['51/17=3']
Exploring Operation: 18+3=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 18+3=21
Current State: 42:[2, 21], Operations: ['51/17=3', '18+3=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
32,
9,
32,
23
] | 33 | [
"32-9=23",
"23/23=1",
"32+1=33"
] | Current State: 33:[32, 9, 32, 23], Operations: []
Exploring Operation: 32-9=23, Resulting Numbers: [23, 23]
Generated Node #2: [23, 23] from Operation: 32-9=23
Current State: 33:[23, 23], Operations: ['32-9=23']
Exploring Operation: 23/23=1, Resulting Numbers: [1]
1,33 equal: Goal Reached
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
17,
12,
75,
73
] | 58 | [
"17+12=29",
"75-73=2",
"29*2=58"
] | Current State: 58:[17, 12, 75, 73], Operations: []
Exploring Operation: 17+12=29, Resulting Numbers: [75, 73, 29]
Generated Node #2: [75, 73, 29] from Operation: 17+12=29
Current State: 58:[75, 73, 29], Operations: ['17+12=29']
Exploring Operation: 75-73=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 75-73=2
Current State: 58:[29, 2], Operations: ['17+12=29', '75-73=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
12,
44,
2,
81
] | 53 | [
"12+44=56",
"56/2=28",
"81-28=53"
] | Current State: 53:[12, 44, 2, 81], Operations: []
Exploring Operation: 12+44=56, Resulting Numbers: [2, 81, 56]
Generated Node #2: [2, 81, 56] from Operation: 12+44=56
Current State: 53:[2, 81, 56], Operations: ['12+44=56']
Exploring Operation: 56/2=28, Resulting Numbers: [81, 28]
Generated Node #3: [81, 28] from Operation: 56/2=28
Current State: 53:[81, 28], Operations: ['12+44=56', '56/2=28']
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
27,
70,
35,
7
] | 92 | [
"27+70=97",
"35/7=5",
"97-5=92"
] | Current State: 92:[27, 70, 35, 7], Operations: []
Exploring Operation: 27+70=97, Resulting Numbers: [35, 7, 97]
Generated Node #2: [35, 7, 97] from Operation: 27+70=97
Current State: 92:[35, 7, 97], Operations: ['27+70=97']
Exploring Operation: 35/7=5, Resulting Numbers: [97, 5]
Generated Node #3: [97, 5] from Operation: 35/7=5
Current State: 92:[97, 5], Operations: ['27+70=97', '35/7=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
15,
10,
26,
33
] | 45 | [
"10+26=36",
"36-33=3",
"15*3=45"
] | Current State: 45:[15, 10, 26, 33], Operations: []
Exploring Operation: 10+26=36, Resulting Numbers: [15, 33, 36]
Generated Node #2: [15, 33, 36] from Operation: 10+26=36
Current State: 45:[15, 33, 36], Operations: ['10+26=36']
Exploring Operation: 36-33=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 36-33=3
Current State: 45:[15, 3], Operations: ['10+26=36', '36-33=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
84,
30,
18,
46
] | 86 | [
"84+30=114",
"46-18=28",
"114-28=86"
] | Current State: 86:[84, 30, 18, 46], Operations: []
Exploring Operation: 84+30=114, Resulting Numbers: [18, 46, 114]
Generated Node #2: [18, 46, 114] from Operation: 84+30=114
Current State: 86:[18, 46, 114], Operations: ['84+30=114']
Exploring Operation: 46-18=28, Resulting Numbers: [114, 28]
Generated Node #3: [114, 28] from Operation: 46-18=28
Current State: 86:[114, 28], Operations: ['84+30=114', '46-18=28']
Exploring Operation: 114-28=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
17,
35,
21,
87
] | 14 | [
"17+35=52",
"87-21=66",
"66-52=14"
] | Current State: 14:[17, 35, 21, 87], Operations: []
Exploring Operation: 17+35=52, Resulting Numbers: [21, 87, 52]
Generated Node #2: [21, 87, 52] from Operation: 17+35=52
Current State: 14:[21, 87, 52], Operations: ['17+35=52']
Exploring Operation: 87-21=66, Resulting Numbers: [52, 66]
Generated Node #3: [52, 66] from Operation: 87-21=66
Current State: 14:[52, 66], Operations: ['17+35=52', '87-21=66']
Exploring Operation: 66-52=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
39,
46,
41,
20
] | 54 | [
"46-39=7",
"41+20=61",
"61-7=54"
] | Current State: 54:[39, 46, 41, 20], Operations: []
Exploring Operation: 46-39=7, Resulting Numbers: [41, 20, 7]
Generated Node #2: [41, 20, 7] from Operation: 46-39=7
Current State: 54:[41, 20, 7], Operations: ['46-39=7']
Exploring Operation: 41+20=61, Resulting Numbers: [7, 61]
Generated Node #3: [7, 61] from Operation: 41+20=61
Current State: 54:[7, 61], Operations: ['46-39=7', '41+20=61']
Exploring Operation: 61-7=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
8,
75,
79,
50
] | 91 | [
"8*75=600",
"600/50=12",
"79+12=91"
] | Current State: 91:[8, 75, 79, 50], Operations: []
Exploring Operation: 8*75=600, Resulting Numbers: [79, 50, 600]
Generated Node #2: [79, 50, 600] from Operation: 8*75=600
Current State: 91:[79, 50, 600], Operations: ['8*75=600']
Exploring Operation: 600/50=12, Resulting Numbers: [79, 12]
Generated Node #3: [79, 12] from Operation: 600/50=12
Current State: 91:[79, 12], Operations: ['8*75=600', '600/50=12']
Exploring Operation: 79+12=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
63,
48,
22,
84
] | 47 | [
"63-48=15",
"84-22=62",
"62-15=47"
] | Current State: 47:[63, 48, 22, 84], Operations: []
Exploring Operation: 63-48=15, Resulting Numbers: [22, 84, 15]
Generated Node #2: [22, 84, 15] from Operation: 63-48=15
Current State: 47:[22, 84, 15], Operations: ['63-48=15']
Exploring Operation: 84-22=62, Resulting Numbers: [15, 62]
Generated Node #3: [15, 62] from Operation: 84-22=62
Current State: 47:[15, 62], Operations: ['63-48=15', '84-22=62']
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
35,
50,
13,
13
] | 26 | [
"50-35=15",
"15-13=2",
"13*2=26"
] | Current State: 26:[35, 50, 13, 13], Operations: []
Exploring Operation: 50-35=15, Resulting Numbers: [13, 13, 15]
Generated Node #2: [13, 13, 15] from Operation: 50-35=15
Current State: 26:[13, 13, 15], Operations: ['50-35=15']
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,26 equal: Goal Reached
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
88,
14,
99,
76
] | 73 | [
"88+14=102",
"99+76=175",
"175-102=73"
] | Current State: 73:[88, 14, 99, 76], Operations: []
Exploring Operation: 88+14=102, Resulting Numbers: [99, 76, 102]
Generated Node #2: [99, 76, 102] from Operation: 88+14=102
Current State: 73:[99, 76, 102], Operations: ['88+14=102']
Exploring Operation: 99+76=175, Resulting Numbers: [102, 175]
Generated Node #3: [102, 175] from Operation: 99+76=175
Current State: 73:[102, 175], Operations: ['88+14=102', '99+76=175']
Exploring Operation: 175-102=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
20,
46,
43,
81
] | 79 | [
"43-20=23",
"46/23=2",
"81-2=79"
] | Current State: 79:[20, 46, 43, 81], Operations: []
Exploring Operation: 43-20=23, Resulting Numbers: [46, 81, 23]
Generated Node #2: [46, 81, 23] from Operation: 43-20=23
Current State: 79:[46, 81, 23], Operations: ['43-20=23']
Exploring Operation: 46/23=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 46/23=2
Current State: 79:[81, 2], Operations: ['43-20=23', '46/23=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
10,
33,
52,
93
] | 97 | [
"52-33=19",
"10*19=190",
"190-93=97"
] | Current State: 97:[10, 33, 52, 93], Operations: []
Exploring Operation: 52-33=19, Resulting Numbers: [10, 93, 19]
Generated Node #2: [10, 93, 19] from Operation: 52-33=19
Current State: 97:[10, 93, 19], Operations: ['52-33=19']
Exploring Operation: 10*19=190, Resulting Numbers: [93, 190]
Generated Node #3: [93, 190] from Operation: 10*19=190
Current State: 97:[93, 190], Operations: ['52-33=19', '10*19=190']
Exploring Operation: 190-93=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
38,
16,
22,
44
] | 88 | [
"38-16=22",
"22+44=66",
"22+66=88"
] | Current State: 88:[38, 16, 22, 44], Operations: []
Exploring Operation: 38-16=22, Resulting Numbers: [22, 44, 22]
Generated Node #2: [22, 44, 22] from Operation: 38-16=22
Current State: 88:[22, 44, 22], Operations: ['38-16=22']
Exploring Operation: 22+44=66, Resulting Numbers: [66]
66,88 equal: Goal Reached
Exploring Operation: 22+66=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
24,
77,
83,
83
] | 65 | [
"24+77=101",
"83+83=166",
"166-101=65"
] | Current State: 65:[24, 77, 83, 83], Operations: []
Exploring Operation: 24+77=101, Resulting Numbers: [83, 83, 101]
Generated Node #2: [83, 83, 101] from Operation: 24+77=101
Current State: 65:[83, 83, 101], Operations: ['24+77=101']
Exploring Operation: 83+83=166, Resulting Numbers: [101, 166]
Generated Node #3: [101, 166] from Operation: 83+83=166
Current State: 65:[101, 166], Operations: ['24+77=101', '83+83=166']
Exploring Operation: 166-101=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
52,
51,
38,
84
] | 57 | [
"52+51=103",
"84-38=46",
"103-46=57"
] | Current State: 57:[52, 51, 38, 84], Operations: []
Exploring Operation: 52+51=103, Resulting Numbers: [38, 84, 103]
Generated Node #2: [38, 84, 103] from Operation: 52+51=103
Current State: 57:[38, 84, 103], Operations: ['52+51=103']
Exploring Operation: 84-38=46, Resulting Numbers: [103, 46]
Generated Node #3: [103, 46] from Operation: 84-38=46
Current State: 57:[103, 46], Operations: ['52+51=103', '84-38=46']
Exploring Operation: 103-46=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
6,
80,
4,
95
] | 25 | [
"6*80=480",
"480/4=120",
"120-95=25"
] | Current State: 25:[6, 80, 4, 95], Operations: []
Exploring Operation: 6*80=480, Resulting Numbers: [4, 95, 480]
Generated Node #2: [4, 95, 480] from Operation: 6*80=480
Current State: 25:[4, 95, 480], Operations: ['6*80=480']
Exploring Operation: 480/4=120, Resulting Numbers: [95, 120]
Generated Node #3: [95, 120] from Operation: 480/4=120
Current State: 25:[95, 120], Operations: ['6*80=480', '480/4=120']
Exploring Operation: 120-95=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
2,
74,
26,
49
] | 71 | [
"2*26=52",
"74+49=123",
"123-52=71"
] | Current State: 71:[2, 74, 26, 49], Operations: []
Exploring Operation: 2*26=52, Resulting Numbers: [74, 49, 52]
Generated Node #2: [74, 49, 52] from Operation: 2*26=52
Current State: 71:[74, 49, 52], Operations: ['2*26=52']
Exploring Operation: 74+49=123, Resulting Numbers: [52, 123]
Generated Node #3: [52, 123] from Operation: 74+49=123
Current State: 71:[52, 123], Operations: ['2*26=52', '74+49=123']
Exploring Operation: 123-52=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
58,
47,
74,
93
] | 79 | [
"58*74=4292",
"47*93=4371",
"4371-4292=79"
] | Current State: 79:[58, 47, 74, 93], Operations: []
Exploring Operation: 58*74=4292, Resulting Numbers: [47, 93, 4292]
Generated Node #2: [47, 93, 4292] from Operation: 58*74=4292
Current State: 79:[47, 93, 4292], Operations: ['58*74=4292']
Exploring Operation: 47*93=4371, Resulting Numbers: [4292, 4371]
Generated Node #3: [4292, 4371] from Operation: 47*93=4371
Current State: 79:[4292, 4371], Operations: ['58*74=4292', '47*93=4371']
Exploring Operation: 4371-4292=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
43,
35,
56,
37
] | 85 | [
"43-35=8",
"56+37=93",
"93-8=85"
] | Current State: 85:[43, 35, 56, 37], Operations: []
Exploring Operation: 43-35=8, Resulting Numbers: [56, 37, 8]
Generated Node #2: [56, 37, 8] from Operation: 43-35=8
Current State: 85:[56, 37, 8], Operations: ['43-35=8']
Exploring Operation: 56+37=93, Resulting Numbers: [8, 93]
Generated Node #3: [8, 93] from Operation: 56+37=93
Current State: 85:[8, 93], Operations: ['43-35=8', '56+37=93']
Exploring Operation: 93-8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
71,
1,
45,
25
] | 92 | [
"71+1=72",
"45-25=20",
"72+20=92"
] | Current State: 92:[71, 1, 45, 25], Operations: []
Exploring Operation: 71+1=72, Resulting Numbers: [45, 25, 72]
Generated Node #2: [45, 25, 72] from Operation: 71+1=72
Current State: 92:[45, 25, 72], Operations: ['71+1=72']
Exploring Operation: 45-25=20, Resulting Numbers: [72, 20]
Generated Node #3: [72, 20] from Operation: 45-25=20
Current State: 92:[72, 20], Operations: ['71+1=72', '45-25=20']
Exploring Operation: 72+20=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
70,
30,
9,
1
] | 22 | [
"70*9=630",
"630/30=21",
"1+21=22"
] | Current State: 22:[70, 30, 9, 1], Operations: []
Exploring Operation: 70*9=630, Resulting Numbers: [30, 1, 630]
Generated Node #2: [30, 1, 630] from Operation: 70*9=630
Current State: 22:[30, 1, 630], Operations: ['70*9=630']
Exploring Operation: 630/30=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 630/30=21
Current State: 22:[1, 21], Operations: ['70*9=630', '630/30=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
90,
82,
2,
36
] | 67 | [
"82-36=46",
"46/2=23",
"90-23=67"
] | Current State: 67:[90, 82, 2, 36], Operations: []
Exploring Operation: 82-36=46, Resulting Numbers: [90, 2, 46]
Generated Node #2: [90, 2, 46] from Operation: 82-36=46
Current State: 67:[90, 2, 46], Operations: ['82-36=46']
Exploring Operation: 46/2=23, Resulting Numbers: [90, 23]
Generated Node #3: [90, 23] from Operation: 46/2=23
Current State: 67:[90, 23], Operations: ['82-36=46', '46/2=23']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
27,
48,
88,
30
] | 96 | [
"88*30=2640",
"2640-48=2592",
"2592/27=96"
] | Current State: 96:[27, 48, 88, 30], Operations: []
Exploring Operation: 88*30=2640, Resulting Numbers: [27, 48, 2640]
Generated Node #2: [27, 48, 2640] from Operation: 88*30=2640
Current State: 96:[27, 48, 2640], Operations: ['88*30=2640']
Exploring Operation: 2640-48=2592, Resulting Numbers: [27, 2592]
Generated Node #3: [27, 2592] from Operation: 2640-48=2592
Current State: 96:[27, 2592], Operations: ['88*30=2640', '2640-48=2592']
Exploring Operation: 2592/27=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
65,
66,
62,
52
] | 10 | [
"66-65=1",
"62-52=10",
"1*10=10"
] | Current State: 10:[65, 66, 62, 52], Operations: []
Exploring Operation: 66-65=1, Resulting Numbers: [62, 52, 1]
Generated Node #2: [62, 52, 1] from Operation: 66-65=1
Current State: 10:[62, 52, 1], Operations: ['66-65=1']
Exploring Operation: 62-52=10, Resulting Numbers: [1, 10]
Generated Node #3: [1, 10] from Operation: 62-52=10
Current State: 10:[1, 10], Operations: ['66-65=1', '62-52=10']
Exploring Operation: 1*10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
10,
76,
82,
58
] | 62 | [
"10+76=86",
"82-58=24",
"86-24=62"
] | Current State: 62:[10, 76, 82, 58], Operations: []
Exploring Operation: 10+76=86, Resulting Numbers: [82, 58, 86]
Generated Node #2: [82, 58, 86] from Operation: 10+76=86
Current State: 62:[82, 58, 86], Operations: ['10+76=86']
Exploring Operation: 82-58=24, Resulting Numbers: [86, 24]
Generated Node #3: [86, 24] from Operation: 82-58=24
Current State: 62:[86, 24], Operations: ['10+76=86', '82-58=24']
Exploring Operation: 86-24=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
76,
86,
17,
60
] | 86 | [
"76-17=59",
"60-59=1",
"86*1=86"
] | Current State: 86:[76, 86, 17, 60], Operations: []
Exploring Operation: 76-17=59, Resulting Numbers: [86, 60, 59]
Generated Node #2: [86, 60, 59] from Operation: 76-17=59
Current State: 86:[86, 60, 59], Operations: ['76-17=59']
Exploring Operation: 60-59=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 60-59=1
Current State: 86:[86, 1], Operations: ['76-17=59', '60-59=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
10,
48,
16,
9
] | 51 | [
"10+48=58",
"16-9=7",
"58-7=51"
] | Current State: 51:[10, 48, 16, 9], Operations: []
Exploring Operation: 10+48=58, Resulting Numbers: [16, 9, 58]
Generated Node #2: [16, 9, 58] from Operation: 10+48=58
Current State: 51:[16, 9, 58], Operations: ['10+48=58']
Exploring Operation: 16-9=7, Resulting Numbers: [58, 7]
Generated Node #3: [58, 7] from Operation: 16-9=7
Current State: 51:[58, 7], Operations: ['10+48=58', '16-9=7']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
10,
47,
80,
10
] | 94 | [
"80/10=8",
"10-8=2",
"47*2=94"
] | Current State: 94:[10, 47, 80, 10], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [47, 8]
Generated Node #2: [47, 8] from Operation: 80/10=8
Current State: 94:[47, 8], Operations: ['80/10=8']
Exploring Operation: 10-8=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 10-8=2
Current State: 94:[47, 2], Operations: ['80/10=8', '10-8=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
46,
2,
80,
38
] | 70 | [
"46+2=48",
"80+38=118",
"118-48=70"
] | Current State: 70:[46, 2, 80, 38], Operations: []
Exploring Operation: 46+2=48, Resulting Numbers: [80, 38, 48]
Generated Node #2: [80, 38, 48] from Operation: 46+2=48
Current State: 70:[80, 38, 48], Operations: ['46+2=48']
Exploring Operation: 80+38=118, Resulting Numbers: [48, 118]
Generated Node #3: [48, 118] from Operation: 80+38=118
Current State: 70:[48, 118], Operations: ['46+2=48', '80+38=118']
Exploring Operation: 118-48=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
28,
1,
17,
8
] | 54 | [
"28+1=29",
"17+8=25",
"29+25=54"
] | Current State: 54:[28, 1, 17, 8], Operations: []
Exploring Operation: 28+1=29, Resulting Numbers: [17, 8, 29]
Generated Node #2: [17, 8, 29] from Operation: 28+1=29
Current State: 54:[17, 8, 29], Operations: ['28+1=29']
Exploring Operation: 17+8=25, Resulting Numbers: [29, 25]
Generated Node #3: [29, 25] from Operation: 17+8=25
Current State: 54:[29, 25], Operations: ['28+1=29', '17+8=25']
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
77,
32,
4,
33
] | 18 | [
"77+33=110",
"32*4=128",
"128-110=18"
] | Current State: 18:[77, 32, 4, 33], Operations: []
Exploring Operation: 77+33=110, Resulting Numbers: [32, 4, 110]
Generated Node #2: [32, 4, 110] from Operation: 77+33=110
Current State: 18:[32, 4, 110], Operations: ['77+33=110']
Exploring Operation: 32*4=128, Resulting Numbers: [110, 128]
Generated Node #3: [110, 128] from Operation: 32*4=128
Current State: 18:[110, 128], Operations: ['77+33=110', '32*4=128']
Exploring Operation: 128-110=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
55,
84,
69,
46
] | 17 | [
"55-46=9",
"84+69=153",
"153/9=17"
] | Current State: 17:[55, 84, 69, 46], Operations: []
Exploring Operation: 55-46=9, Resulting Numbers: [84, 69, 9]
Generated Node #2: [84, 69, 9] from Operation: 55-46=9
Current State: 17:[84, 69, 9], Operations: ['55-46=9']
Exploring Operation: 84+69=153, Resulting Numbers: [9, 153]
Generated Node #3: [9, 153] from Operation: 84+69=153
Current State: 17:[9, 153], Operations: ['55-46=9', '84+69=153']
Exploring Operation: 153/9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
49,
21,
77,
7
] | 14 | [
"49+21=70",
"77+7=84",
"84-70=14"
] | Current State: 14:[49, 21, 77, 7], Operations: []
Exploring Operation: 49+21=70, Resulting Numbers: [77, 7, 70]
Generated Node #2: [77, 7, 70] from Operation: 49+21=70
Current State: 14:[77, 7, 70], Operations: ['49+21=70']
Exploring Operation: 77+7=84, Resulting Numbers: [70, 84]
Generated Node #3: [70, 84] from Operation: 77+7=84
Current State: 14:[70, 84], Operations: ['49+21=70', '77+7=84']
Exploring Operation: 84-70=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
44,
25,
68,
2
] | 35 | [
"44+25=69",
"68/2=34",
"69-34=35"
] | Current State: 35:[44, 25, 68, 2], Operations: []
Exploring Operation: 44+25=69, Resulting Numbers: [68, 2, 69]
Generated Node #2: [68, 2, 69] from Operation: 44+25=69
Current State: 35:[68, 2, 69], Operations: ['44+25=69']
Exploring Operation: 68/2=34, Resulting Numbers: [69, 34]
Generated Node #3: [69, 34] from Operation: 68/2=34
Current State: 35:[69, 34], Operations: ['44+25=69', '68/2=34']
Exploring Operation: 69-34=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
84,
82,
14,
23
] | 60 | [
"84-82=2",
"23*2=46",
"14+46=60"
] | Current State: 60:[84, 82, 14, 23], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [14, 23, 2]
Generated Node #2: [14, 23, 2] from Operation: 84-82=2
Current State: 60:[14, 23, 2], Operations: ['84-82=2']
Exploring Operation: 23*2=46, Resulting Numbers: [14, 46]
Generated Node #3: [14, 46] from Operation: 23*2=46
Current State: 60:[14, 46], Operations: ['84-82=2', '23*2=46']
Exploring Operation: 14+46=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
78,
74,
17,
43
] | 56 | [
"78-74=4",
"17+43=60",
"60-4=56"
] | Current State: 56:[78, 74, 17, 43], Operations: []
Exploring Operation: 78-74=4, Resulting Numbers: [17, 43, 4]
Generated Node #2: [17, 43, 4] from Operation: 78-74=4
Current State: 56:[17, 43, 4], Operations: ['78-74=4']
Exploring Operation: 17+43=60, Resulting Numbers: [4, 60]
Generated Node #3: [4, 60] from Operation: 17+43=60
Current State: 56:[4, 60], Operations: ['78-74=4', '17+43=60']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
67,
21,
49,
21
] | 24 | [
"67-21=46",
"49+21=70",
"70-46=24"
] | Current State: 24:[67, 21, 49, 21], Operations: []
Exploring Operation: 67-21=46, Resulting Numbers: [49, 46]
Generated Node #2: [49, 46] from Operation: 67-21=46
Current State: 24:[49, 46], Operations: ['67-21=46']
Exploring Operation: 49+21=70, Resulting Numbers: [46, 70]
Generated Node #3: [46, 70] from Operation: 49+21=70
Current State: 24:[46, 70], Operations: ['67-21=46', '49+21=70']
Exploring Operation: 70-46=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
1,
78,
49,
91
] | 61 | [
"1+78=79",
"49+91=140",
"140-79=61"
] | Current State: 61:[1, 78, 49, 91], Operations: []
Exploring Operation: 1+78=79, Resulting Numbers: [49, 91, 79]
Generated Node #2: [49, 91, 79] from Operation: 1+78=79
Current State: 61:[49, 91, 79], Operations: ['1+78=79']
Exploring Operation: 49+91=140, Resulting Numbers: [79, 140]
Generated Node #3: [79, 140] from Operation: 49+91=140
Current State: 61:[79, 140], Operations: ['1+78=79', '49+91=140']
Exploring Operation: 140-79=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
15,
94,
99,
38
] | 97 | [
"15+99=114",
"114/38=3",
"94+3=97"
] | Current State: 97:[15, 94, 99, 38], Operations: []
Exploring Operation: 15+99=114, Resulting Numbers: [94, 38, 114]
Generated Node #2: [94, 38, 114] from Operation: 15+99=114
Current State: 97:[94, 38, 114], Operations: ['15+99=114']
Exploring Operation: 114/38=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 114/38=3
Current State: 97:[94, 3], Operations: ['15+99=114', '114/38=3']
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
72,
38,
99,
9
] | 53 | [
"72/9=8",
"99-38=61",
"61-8=53"
] | Current State: 53:[72, 38, 99, 9], Operations: []
Exploring Operation: 72/9=8, Resulting Numbers: [38, 99, 8]
Generated Node #2: [38, 99, 8] from Operation: 72/9=8
Current State: 53:[38, 99, 8], Operations: ['72/9=8']
Exploring Operation: 99-38=61, Resulting Numbers: [8, 61]
Generated Node #3: [8, 61] from Operation: 99-38=61
Current State: 53:[8, 61], Operations: ['72/9=8', '99-38=61']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
10,
6,
81,
29
] | 83 | [
"10+81=91",
"6*29=174",
"174-91=83"
] | Current State: 83:[10, 6, 81, 29], Operations: []
Exploring Operation: 10+81=91, Resulting Numbers: [6, 29, 91]
Generated Node #2: [6, 29, 91] from Operation: 10+81=91
Current State: 83:[6, 29, 91], Operations: ['10+81=91']
Exploring Operation: 6*29=174, Resulting Numbers: [91, 174]
Generated Node #3: [91, 174] from Operation: 6*29=174
Current State: 83:[91, 174], Operations: ['10+81=91', '6*29=174']
Exploring Operation: 174-91=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
7,
37,
59,
73
] | 74 | [
"73-59=14",
"14/7=2",
"37*2=74"
] | Current State: 74:[7, 37, 59, 73], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [7, 37, 14]
Generated Node #2: [7, 37, 14] from Operation: 73-59=14
Current State: 74:[7, 37, 14], Operations: ['73-59=14']
Exploring Operation: 14/7=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 14/7=2
Current State: 74:[37, 2], Operations: ['73-59=14', '14/7=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
8,
7,
2,
57
] | 40 | [
"8+7=15",
"57-2=55",
"55-15=40"
] | Current State: 40:[8, 7, 2, 57], Operations: []
Exploring Operation: 8+7=15, Resulting Numbers: [2, 57, 15]
Generated Node #2: [2, 57, 15] from Operation: 8+7=15
Current State: 40:[2, 57, 15], Operations: ['8+7=15']
Exploring Operation: 57-2=55, Resulting Numbers: [15, 55]
Generated Node #3: [15, 55] from Operation: 57-2=55
Current State: 40:[15, 55], Operations: ['8+7=15', '57-2=55']
Exploring Operation: 55-15=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
40,
29,
2,
28
] | 67 | [
"40-29=11",
"2*28=56",
"11+56=67"
] | Current State: 67:[40, 29, 2, 28], Operations: []
Exploring Operation: 40-29=11, Resulting Numbers: [2, 28, 11]
Generated Node #2: [2, 28, 11] from Operation: 40-29=11
Current State: 67:[2, 28, 11], Operations: ['40-29=11']
Exploring Operation: 2*28=56, Resulting Numbers: [11, 56]
Generated Node #3: [11, 56] from Operation: 2*28=56
Current State: 67:[11, 56], Operations: ['40-29=11', '2*28=56']
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
16,
36,
10,
54
] | 84 | [
"36-16=20",
"10+54=64",
"20+64=84"
] | Current State: 84:[16, 36, 10, 54], Operations: []
Exploring Operation: 36-16=20, Resulting Numbers: [10, 54, 20]
Generated Node #2: [10, 54, 20] from Operation: 36-16=20
Current State: 84:[10, 54, 20], Operations: ['36-16=20']
Exploring Operation: 10+54=64, Resulting Numbers: [20, 64]
Generated Node #3: [20, 64] from Operation: 10+54=64
Current State: 84:[20, 64], Operations: ['36-16=20', '10+54=64']
Exploring Operation: 20+64=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
3,
31,
50,
2
] | 86 | [
"3+31=34",
"50+2=52",
"34+52=86"
] | Current State: 86:[3, 31, 50, 2], Operations: []
Exploring Operation: 3+31=34, Resulting Numbers: [50, 2, 34]
Generated Node #2: [50, 2, 34] from Operation: 3+31=34
Current State: 86:[50, 2, 34], Operations: ['3+31=34']
Exploring Operation: 50+2=52, Resulting Numbers: [34, 52]
Generated Node #3: [34, 52] from Operation: 50+2=52
Current State: 86:[34, 52], Operations: ['3+31=34', '50+2=52']
Exploring Operation: 34+52=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
96,
28,
94,
87
] | 57 | [
"96+28=124",
"94+87=181",
"181-124=57"
] | Current State: 57:[96, 28, 94, 87], Operations: []
Exploring Operation: 96+28=124, Resulting Numbers: [94, 87, 124]
Generated Node #2: [94, 87, 124] from Operation: 96+28=124
Current State: 57:[94, 87, 124], Operations: ['96+28=124']
Exploring Operation: 94+87=181, Resulting Numbers: [124, 181]
Generated Node #3: [124, 181] from Operation: 94+87=181
Current State: 57:[124, 181], Operations: ['96+28=124', '94+87=181']
Exploring Operation: 181-124=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
36,
70,
35,
42
] | 29 | [
"36+70=106",
"35+42=77",
"106-77=29"
] | Current State: 29:[36, 70, 35, 42], Operations: []
Exploring Operation: 36+70=106, Resulting Numbers: [35, 42, 106]
Generated Node #2: [35, 42, 106] from Operation: 36+70=106
Current State: 29:[35, 42, 106], Operations: ['36+70=106']
Exploring Operation: 35+42=77, Resulting Numbers: [106, 77]
Generated Node #3: [106, 77] from Operation: 35+42=77
Current State: 29:[106, 77], Operations: ['36+70=106', '35+42=77']
Exploring Operation: 106-77=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
18,
40,
44,
88
] | 98 | [
"40*88=3520",
"3520/44=80",
"18+80=98"
] | Current State: 98:[18, 40, 44, 88], Operations: []
Exploring Operation: 40*88=3520, Resulting Numbers: [18, 44, 3520]
Generated Node #2: [18, 44, 3520] from Operation: 40*88=3520
Current State: 98:[18, 44, 3520], Operations: ['40*88=3520']
Exploring Operation: 3520/44=80, Resulting Numbers: [18, 80]
Generated Node #3: [18, 80] from Operation: 3520/44=80
Current State: 98:[18, 80], Operations: ['40*88=3520', '3520/44=80']
Exploring Operation: 18+80=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
55,
79,
30,
84
] | 90 | [
"79-55=24",
"30+84=114",
"114-24=90"
] | Current State: 90:[55, 79, 30, 84], Operations: []
Exploring Operation: 79-55=24, Resulting Numbers: [30, 84, 24]
Generated Node #2: [30, 84, 24] from Operation: 79-55=24
Current State: 90:[30, 84, 24], Operations: ['79-55=24']
Exploring Operation: 30+84=114, Resulting Numbers: [24, 114]
Generated Node #3: [24, 114] from Operation: 30+84=114
Current State: 90:[24, 114], Operations: ['79-55=24', '30+84=114']
Exploring Operation: 114-24=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
53,
3,
20,
13
] | 83 | [
"53-3=50",
"20+13=33",
"50+33=83"
] | Current State: 83:[53, 3, 20, 13], Operations: []
Exploring Operation: 53-3=50, Resulting Numbers: [20, 13, 50]
Generated Node #2: [20, 13, 50] from Operation: 53-3=50
Current State: 83:[20, 13, 50], Operations: ['53-3=50']
Exploring Operation: 20+13=33, Resulting Numbers: [50, 33]
Generated Node #3: [50, 33] from Operation: 20+13=33
Current State: 83:[50, 33], Operations: ['53-3=50', '20+13=33']
Exploring Operation: 50+33=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
34,
95,
1,
2
] | 64 | [
"34+95=129",
"129-1=128",
"128/2=64"
] | Current State: 64:[34, 95, 1, 2], Operations: []
Exploring Operation: 34+95=129, Resulting Numbers: [1, 2, 129]
Generated Node #2: [1, 2, 129] from Operation: 34+95=129
Current State: 64:[1, 2, 129], Operations: ['34+95=129']
Exploring Operation: 129-1=128, Resulting Numbers: [2, 128]
Generated Node #3: [2, 128] from Operation: 129-1=128
Current State: 64:[2, 128], Operations: ['34+95=129', '129-1=128']
Exploring Operation: 128/2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
63,
3,
79,
39
] | 71 | [
"63*3=189",
"79+39=118",
"189-118=71"
] | Current State: 71:[63, 3, 79, 39], Operations: []
Exploring Operation: 63*3=189, Resulting Numbers: [79, 39, 189]
Generated Node #2: [79, 39, 189] from Operation: 63*3=189
Current State: 71:[79, 39, 189], Operations: ['63*3=189']
Exploring Operation: 79+39=118, Resulting Numbers: [189, 118]
Generated Node #3: [189, 118] from Operation: 79+39=118
Current State: 71:[189, 118], Operations: ['63*3=189', '79+39=118']
Exploring Operation: 189-118=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
1,
3,
47,
88
] | 50 | [
"47-1=46",
"3*46=138",
"138-88=50"
] | Current State: 50:[1, 3, 47, 88], Operations: []
Exploring Operation: 47-1=46, Resulting Numbers: [3, 88, 46]
Generated Node #2: [3, 88, 46] from Operation: 47-1=46
Current State: 50:[3, 88, 46], Operations: ['47-1=46']
Exploring Operation: 3*46=138, Resulting Numbers: [88, 138]
Generated Node #3: [88, 138] from Operation: 3*46=138
Current State: 50:[88, 138], Operations: ['47-1=46', '3*46=138']
Exploring Operation: 138-88=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
16,
66,
23,
45
] | 14 | [
"16+66=82",
"23+45=68",
"82-68=14"
] | Current State: 14:[16, 66, 23, 45], Operations: []
Exploring Operation: 16+66=82, Resulting Numbers: [23, 45, 82]
Generated Node #2: [23, 45, 82] from Operation: 16+66=82
Current State: 14:[23, 45, 82], Operations: ['16+66=82']
Exploring Operation: 23+45=68, Resulting Numbers: [82, 68]
Generated Node #3: [82, 68] from Operation: 23+45=68
Current State: 14:[82, 68], Operations: ['16+66=82', '23+45=68']
Exploring Operation: 82-68=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
20,
32,
88,
18
] | 82 | [
"32-20=12",
"88-18=70",
"12+70=82"
] | Current State: 82:[20, 32, 88, 18], Operations: []
Exploring Operation: 32-20=12, Resulting Numbers: [88, 18, 12]
Generated Node #2: [88, 18, 12] from Operation: 32-20=12
Current State: 82:[88, 18, 12], Operations: ['32-20=12']
Exploring Operation: 88-18=70, Resulting Numbers: [12, 70]
Generated Node #3: [12, 70] from Operation: 88-18=70
Current State: 82:[12, 70], Operations: ['32-20=12', '88-18=70']
Exploring Operation: 12+70=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
75,
87,
4,
2
] | 85 | [
"75+87=162",
"162/2=81",
"4+81=85"
] | Current State: 85:[75, 87, 4, 2], Operations: []
Exploring Operation: 75+87=162, Resulting Numbers: [4, 2, 162]
Generated Node #2: [4, 2, 162] from Operation: 75+87=162
Current State: 85:[4, 2, 162], Operations: ['75+87=162']
Exploring Operation: 162/2=81, Resulting Numbers: [4, 81]
Generated Node #3: [4, 81] from Operation: 162/2=81
Current State: 85:[4, 81], Operations: ['75+87=162', '162/2=81']
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
7,
39,
94,
97
] | 15 | [
"7*97=679",
"679-94=585",
"585/39=15"
] | Current State: 15:[7, 39, 94, 97], Operations: []
Exploring Operation: 7*97=679, Resulting Numbers: [39, 94, 679]
Generated Node #2: [39, 94, 679] from Operation: 7*97=679
Current State: 15:[39, 94, 679], Operations: ['7*97=679']
Exploring Operation: 679-94=585, Resulting Numbers: [39, 585]
Generated Node #3: [39, 585] from Operation: 679-94=585
Current State: 15:[39, 585], Operations: ['7*97=679', '679-94=585']
Exploring Operation: 585/39=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
53,
94,
16,
19
] | 65 | [
"19-16=3",
"53*3=159",
"159-94=65"
] | Current State: 65:[53, 94, 16, 19], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [53, 94, 3]
Generated Node #2: [53, 94, 3] from Operation: 19-16=3
Current State: 65:[53, 94, 3], Operations: ['19-16=3']
Exploring Operation: 53*3=159, Resulting Numbers: [94, 159]
Generated Node #3: [94, 159] from Operation: 53*3=159
Current State: 65:[94, 159], Operations: ['19-16=3', '53*3=159']
Exploring Operation: 159-94=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
88,
94,
30,
65
] | 89 | [
"94-88=6",
"30+65=95",
"95-6=89"
] | Current State: 89:[88, 94, 30, 65], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [30, 65, 6]
Generated Node #2: [30, 65, 6] from Operation: 94-88=6
Current State: 89:[30, 65, 6], Operations: ['94-88=6']
Exploring Operation: 30+65=95, Resulting Numbers: [6, 95]
Generated Node #3: [6, 95] from Operation: 30+65=95
Current State: 89:[6, 95], Operations: ['94-88=6', '30+65=95']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
57,
30,
5,
83
] | 100 | [
"83-57=26",
"5*26=130",
"130-30=100"
] | Current State: 100:[57, 30, 5, 83], Operations: []
Exploring Operation: 83-57=26, Resulting Numbers: [30, 5, 26]
Generated Node #2: [30, 5, 26] from Operation: 83-57=26
Current State: 100:[30, 5, 26], Operations: ['83-57=26']
Exploring Operation: 5*26=130, Resulting Numbers: [30, 130]
Generated Node #3: [30, 130] from Operation: 5*26=130
Current State: 100:[30, 130], Operations: ['83-57=26', '5*26=130']
Exploring Operation: 130-30=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
78,
58,
7,
31
] | 58 | [
"78-58=20",
"7+31=38",
"20+38=58"
] | Current State: 58:[78, 58, 7, 31], Operations: []
Exploring Operation: 78-58=20, Resulting Numbers: [7, 31, 20]
Generated Node #2: [7, 31, 20] from Operation: 78-58=20
Current State: 58:[7, 31, 20], Operations: ['78-58=20']
Exploring Operation: 7+31=38, Resulting Numbers: [20, 38]
Generated Node #3: [20, 38] from Operation: 7+31=38
Current State: 58:[20, 38], Operations: ['78-58=20', '7+31=38']
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
48,
18,
16,
50
] | 10 | [
"50-48=2",
"16/2=8",
"18-8=10"
] | Current State: 10:[48, 18, 16, 50], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [18, 16, 2]
Generated Node #2: [18, 16, 2] from Operation: 50-48=2
Current State: 10:[18, 16, 2], Operations: ['50-48=2']
Exploring Operation: 16/2=8, Resulting Numbers: [18, 8]
Generated Node #3: [18, 8] from Operation: 16/2=8
Current State: 10:[18, 8], Operations: ['50-48=2', '16/2=8']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
58,
27,
72,
2
] | 67 | [
"58-27=31",
"72/2=36",
"31+36=67"
] | Current State: 67:[58, 27, 72, 2], Operations: []
Exploring Operation: 58-27=31, Resulting Numbers: [72, 2, 31]
Generated Node #2: [72, 2, 31] from Operation: 58-27=31
Current State: 67:[72, 2, 31], Operations: ['58-27=31']
Exploring Operation: 72/2=36, Resulting Numbers: [31, 36]
Generated Node #3: [31, 36] from Operation: 72/2=36
Current State: 67:[31, 36], Operations: ['58-27=31', '72/2=36']
Exploring Operation: 31+36=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
89,
27,
17,
81
] | 80 | [
"89-81=8",
"27-17=10",
"8*10=80"
] | Current State: 80:[89, 27, 17, 81], Operations: []
Exploring Operation: 89-81=8, Resulting Numbers: [27, 17, 8]
Generated Node #2: [27, 17, 8] from Operation: 89-81=8
Current State: 80:[27, 17, 8], Operations: ['89-81=8']
Exploring Operation: 27-17=10, Resulting Numbers: [8, 10]
Generated Node #3: [8, 10] from Operation: 27-17=10
Current State: 80:[8, 10], Operations: ['89-81=8', '27-17=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
79,
56,
4,
39
] | 24 | [
"79+56=135",
"135-39=96",
"96/4=24"
] | Current State: 24:[79, 56, 4, 39], Operations: []
Exploring Operation: 79+56=135, Resulting Numbers: [4, 39, 135]
Generated Node #2: [4, 39, 135] from Operation: 79+56=135
Current State: 24:[4, 39, 135], Operations: ['79+56=135']
Exploring Operation: 135-39=96, Resulting Numbers: [4, 96]
Generated Node #3: [4, 96] from Operation: 135-39=96
Current State: 24:[4, 96], Operations: ['79+56=135', '135-39=96']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
8,
28,
13,
14
] | 23 | [
"8+13=21",
"28/14=2",
"21+2=23"
] | Current State: 23:[8, 28, 13, 14], Operations: []
Exploring Operation: 8+13=21, Resulting Numbers: [28, 14, 21]
Generated Node #2: [28, 14, 21] from Operation: 8+13=21
Current State: 23:[28, 14, 21], Operations: ['8+13=21']
Exploring Operation: 28/14=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 28/14=2
Current State: 23:[21, 2], Operations: ['8+13=21', '28/14=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
18,
37,
17,
54
] | 17 | [
"18+37=55",
"55-54=1",
"17*1=17"
] | Current State: 17:[18, 37, 17, 54], Operations: []
Exploring Operation: 18+37=55, Resulting Numbers: [17, 54, 55]
Generated Node #2: [17, 54, 55] from Operation: 18+37=55
Current State: 17:[17, 54, 55], Operations: ['18+37=55']
Exploring Operation: 55-54=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 55-54=1
Current State: 17:[17, 1], Operations: ['18+37=55', '55-54=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
37,
31,
87,
80
] | 84 | [
"37+87=124",
"124/31=4",
"80+4=84"
] | Current State: 84:[37, 31, 87, 80], Operations: []
Exploring Operation: 37+87=124, Resulting Numbers: [31, 80, 124]
Generated Node #2: [31, 80, 124] from Operation: 37+87=124
Current State: 84:[31, 80, 124], Operations: ['37+87=124']
Exploring Operation: 124/31=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 124/31=4
Current State: 84:[80, 4], Operations: ['37+87=124', '124/31=4']
Exploring Operation: 80+4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
75,
73,
1,
97
] | 99 | [
"75-73=2",
"1*97=97",
"2+97=99"
] | Current State: 99:[75, 73, 1, 97], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [1, 97, 2]
Generated Node #2: [1, 97, 2] from Operation: 75-73=2
Current State: 99:[1, 97, 2], Operations: ['75-73=2']
Exploring Operation: 1*97=97, Resulting Numbers: [2, 97]
Generated Node #3: [2, 97] from Operation: 1*97=97
Current State: 99:[2, 97], Operations: ['75-73=2', '1*97=97']
Exploring Operation: 2+97=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
7,
53,
31,
84
] | 99 | [
"53-7=46",
"84-31=53",
"46+53=99"
] | Current State: 99:[7, 53, 31, 84], Operations: []
Exploring Operation: 53-7=46, Resulting Numbers: [31, 84, 46]
Generated Node #2: [31, 84, 46] from Operation: 53-7=46
Current State: 99:[31, 84, 46], Operations: ['53-7=46']
Exploring Operation: 84-31=53, Resulting Numbers: [46, 53]
Generated Node #3: [46, 53] from Operation: 84-31=53
Current State: 99:[46, 53], Operations: ['53-7=46', '84-31=53']
Exploring Operation: 46+53=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
4,
12,
49,
1
] | 53 | [
"12/4=3",
"49+1=50",
"3+50=53"
] | Current State: 53:[4, 12, 49, 1], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [49, 1, 3]
Generated Node #2: [49, 1, 3] from Operation: 12/4=3
Current State: 53:[49, 1, 3], Operations: ['12/4=3']
Exploring Operation: 49+1=50, Resulting Numbers: [3, 50]
Generated Node #3: [3, 50] from Operation: 49+1=50
Current State: 53:[3, 50], Operations: ['12/4=3', '49+1=50']
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
61,
88,
27,
58
] | 97 | [
"61-58=3",
"27/3=9",
"88+9=97"
] | Current State: 97:[61, 88, 27, 58], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [88, 27, 3]
Generated Node #2: [88, 27, 3] from Operation: 61-58=3
Current State: 97:[88, 27, 3], Operations: ['61-58=3']
Exploring Operation: 27/3=9, Resulting Numbers: [88, 9]
Generated Node #3: [88, 9] from Operation: 27/3=9
Current State: 97:[88, 9], Operations: ['61-58=3', '27/3=9']
Exploring Operation: 88+9=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
6,
49,
3,
43
] | 94 | [
"6/3=2",
"49+43=92",
"2+92=94"
] | Current State: 94:[6, 49, 3, 43], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [49, 43, 2]
Generated Node #2: [49, 43, 2] from Operation: 6/3=2
Current State: 94:[49, 43, 2], Operations: ['6/3=2']
Exploring Operation: 49+43=92, Resulting Numbers: [2, 92]
Generated Node #3: [2, 92] from Operation: 49+43=92
Current State: 94:[2, 92], Operations: ['6/3=2', '49+43=92']
Exploring Operation: 2+92=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
73,
27,
24,
82
] | 12 | [
"73-27=46",
"82-24=58",
"58-46=12"
] | Current State: 12:[73, 27, 24, 82], Operations: []
Exploring Operation: 73-27=46, Resulting Numbers: [24, 82, 46]
Generated Node #2: [24, 82, 46] from Operation: 73-27=46
Current State: 12:[24, 82, 46], Operations: ['73-27=46']
Exploring Operation: 82-24=58, Resulting Numbers: [46, 58]
Generated Node #3: [46, 58] from Operation: 82-24=58
Current State: 12:[46, 58], Operations: ['73-27=46', '82-24=58']
Exploring Operation: 58-46=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
54,
84,
56,
21
] | 21 | [
"56-54=2",
"84/2=42",
"42-21=21"
] | Current State: 21:[54, 84, 56, 21], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [84, 21, 2]
Generated Node #2: [84, 21, 2] from Operation: 56-54=2
Current State: 21:[84, 21, 2], Operations: ['56-54=2']
Exploring Operation: 84/2=42, Resulting Numbers: [21, 42]
Generated Node #3: [21, 42] from Operation: 84/2=42
Current State: 21:[21, 42], Operations: ['56-54=2', '84/2=42']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
80,
74,
51,
73
] | 77 | [
"80+73=153",
"153/51=3",
"74+3=77"
] | Current State: 77:[80, 74, 51, 73], Operations: []
Exploring Operation: 80+73=153, Resulting Numbers: [74, 51, 153]
Generated Node #2: [74, 51, 153] from Operation: 80+73=153
Current State: 77:[74, 51, 153], Operations: ['80+73=153']
Exploring Operation: 153/51=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 153/51=3
Current State: 77:[74, 3], Operations: ['80+73=153', '153/51=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
53,
48,
56,
84
] | 20 | [
"56-53=3",
"84/3=28",
"48-28=20"
] | Current State: 20:[53, 48, 56, 84], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [48, 84, 3]
Generated Node #2: [48, 84, 3] from Operation: 56-53=3
Current State: 20:[48, 84, 3], Operations: ['56-53=3']
Exploring Operation: 84/3=28, Resulting Numbers: [48, 28]
Generated Node #3: [48, 28] from Operation: 84/3=28
Current State: 20:[48, 28], Operations: ['56-53=3', '84/3=28']
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
87,
64,
3,
5
] | 38 | [
"87-64=23",
"3*5=15",
"23+15=38"
] | Current State: 38:[87, 64, 3, 5], Operations: []
Exploring Operation: 87-64=23, Resulting Numbers: [3, 5, 23]
Generated Node #2: [3, 5, 23] from Operation: 87-64=23
Current State: 38:[3, 5, 23], Operations: ['87-64=23']
Exploring Operation: 3*5=15, Resulting Numbers: [23, 15]
Generated Node #3: [23, 15] from Operation: 3*5=15
Current State: 38:[23, 15], Operations: ['87-64=23', '3*5=15']
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
40,
16,
21,
95
] | 50 | [
"40-16=24",
"95-21=74",
"74-24=50"
] | Current State: 50:[40, 16, 21, 95], Operations: []
Exploring Operation: 40-16=24, Resulting Numbers: [21, 95, 24]
Generated Node #2: [21, 95, 24] from Operation: 40-16=24
Current State: 50:[21, 95, 24], Operations: ['40-16=24']
Exploring Operation: 95-21=74, Resulting Numbers: [24, 74]
Generated Node #3: [24, 74] from Operation: 95-21=74
Current State: 50:[24, 74], Operations: ['40-16=24', '95-21=74']
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
76,
84,
29,
78
] | 26 | [
"78-76=2",
"29*2=58",
"84-58=26"
] | Current State: 26:[76, 84, 29, 78], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [84, 29, 2]
Generated Node #2: [84, 29, 2] from Operation: 78-76=2
Current State: 26:[84, 29, 2], Operations: ['78-76=2']
Exploring Operation: 29*2=58, Resulting Numbers: [84, 58]
Generated Node #3: [84, 58] from Operation: 29*2=58
Current State: 26:[84, 58], Operations: ['78-76=2', '29*2=58']
Exploring Operation: 84-58=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
84,
58,
80,
78
] | 100 | [
"80-78=2",
"84/2=42",
"58+42=100"
] | Current State: 100:[84, 58, 80, 78], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [84, 58, 2]
Generated Node #2: [84, 58, 2] from Operation: 80-78=2
Current State: 100:[84, 58, 2], Operations: ['80-78=2']
Exploring Operation: 84/2=42, Resulting Numbers: [58, 42]
Generated Node #3: [58, 42] from Operation: 84/2=42
Current State: 100:[58, 42], Operations: ['80-78=2', '84/2=42']
Exploring Operation: 58+42=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
63,
12,
41,
49
] | 82 | [
"63-12=51",
"51-49=2",
"41*2=82"
] | Current State: 82:[63, 12, 41, 49], Operations: []
Exploring Operation: 63-12=51, Resulting Numbers: [41, 49, 51]
Generated Node #2: [41, 49, 51] from Operation: 63-12=51
Current State: 82:[41, 49, 51], Operations: ['63-12=51']
Exploring Operation: 51-49=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 51-49=2
Current State: 82:[41, 2], Operations: ['63-12=51', '51-49=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
74,
90,
59,
72
] | 29 | [
"90-74=16",
"72-59=13",
"16+13=29"
] | Current State: 29:[74, 90, 59, 72], Operations: []
Exploring Operation: 90-74=16, Resulting Numbers: [59, 72, 16]
Generated Node #2: [59, 72, 16] from Operation: 90-74=16
Current State: 29:[59, 72, 16], Operations: ['90-74=16']
Exploring Operation: 72-59=13, Resulting Numbers: [16, 13]
Generated Node #3: [16, 13] from Operation: 72-59=13
Current State: 29:[16, 13], Operations: ['90-74=16', '72-59=13']
Exploring Operation: 16+13=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
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