nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
58,
44,
47,
24
] | 20 | [
"58-47=11",
"44/11=4",
"24-4=20"
] | Current State: 20:[58, 44, 47, 24], Operations: []
Exploring Operation: 58-47=11, Resulting Numbers: [44, 24, 11]
Generated Node #2: [44, 24, 11] from Operation: 58-47=11
Current State: 20:[44, 24, 11], Operations: ['58-47=11']
Exploring Operation: 44/11=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 44/11=4
Current State: 20:[24, 4], Operations: ['58-47=11', '44/11=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
78,
16,
14,
48
] | 63 | [
"78+48=126",
"16-14=2",
"126/2=63"
] | Current State: 63:[78, 16, 14, 48], Operations: []
Exploring Operation: 78+48=126, Resulting Numbers: [16, 14, 126]
Generated Node #2: [16, 14, 126] from Operation: 78+48=126
Current State: 63:[16, 14, 126], Operations: ['78+48=126']
Exploring Operation: 16-14=2, Resulting Numbers: [126, 2]
Generated Node #3: [126, 2] from Operation: 16-14=2
Current State: 63:[126, 2], Operations: ['78+48=126', '16-14=2']
Exploring Operation: 126/2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
59,
3,
3,
98
] | 76 | [
"59*3=177",
"3+98=101",
"177-101=76"
] | Current State: 76:[59, 3, 3, 98], Operations: []
Exploring Operation: 59*3=177, Resulting Numbers: [98, 177]
Generated Node #2: [98, 177] from Operation: 59*3=177
Current State: 76:[98, 177], Operations: ['59*3=177']
Exploring Operation: 3+98=101, Resulting Numbers: [177, 101]
Generated Node #3: [177, 101] from Operation: 3+98=101
Current State: 76:[177, 101], Operations: ['59*3=177', '3+98=101']
Exploring Operation: 177-101=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
85,
58,
97,
85
] | 38 | [
"85/85=1",
"97-58=39",
"39-1=38"
] | Current State: 38:[85, 58, 97, 85], Operations: []
Exploring Operation: 85/85=1, Resulting Numbers: [58, 97, 1]
Generated Node #2: [58, 97, 1] from Operation: 85/85=1
Current State: 38:[58, 97, 1], Operations: ['85/85=1']
Exploring Operation: 97-58=39, Resulting Numbers: [1, 39]
Generated Node #3: [1, 39] from Operation: 97-58=39
Current State: 38:[1, 39], Operations: ['85/85=1', '97-58=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
83,
30,
85,
88
] | 74 | [
"85-83=2",
"88/2=44",
"30+44=74"
] | Current State: 74:[83, 30, 85, 88], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [30, 88, 2]
Generated Node #2: [30, 88, 2] from Operation: 85-83=2
Current State: 74:[30, 88, 2], Operations: ['85-83=2']
Exploring Operation: 88/2=44, Resulting Numbers: [30, 44]
Generated Node #3: [30, 44] from Operation: 88/2=44
Current State: 74:[30, 44], Operations: ['85-83=2', '88/2=44']
Exploring Operation: 30+44=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
67,
68,
39,
84
] | 65 | [
"67-39=28",
"84/28=3",
"68-3=65"
] | Current State: 65:[67, 68, 39, 84], Operations: []
Exploring Operation: 67-39=28, Resulting Numbers: [68, 84, 28]
Generated Node #2: [68, 84, 28] from Operation: 67-39=28
Current State: 65:[68, 84, 28], Operations: ['67-39=28']
Exploring Operation: 84/28=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 84/28=3
Current State: 65:[68, 3], Operations: ['67-39=28', '84/28=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
30,
17,
25,
76
] | 54 | [
"30+17=47",
"25+76=101",
"101-47=54"
] | Current State: 54:[30, 17, 25, 76], Operations: []
Exploring Operation: 30+17=47, Resulting Numbers: [25, 76, 47]
Generated Node #2: [25, 76, 47] from Operation: 30+17=47
Current State: 54:[25, 76, 47], Operations: ['30+17=47']
Exploring Operation: 25+76=101, Resulting Numbers: [47, 101]
Generated Node #3: [47, 101] from Operation: 25+76=101
Current State: 54:[47, 101], Operations: ['30+17=47', '25+76=101']
Exploring Operation: 101-47=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
4,
33,
59,
22
] | 52 | [
"33-4=29",
"59+22=81",
"81-29=52"
] | Current State: 52:[4, 33, 59, 22], Operations: []
Exploring Operation: 33-4=29, Resulting Numbers: [59, 22, 29]
Generated Node #2: [59, 22, 29] from Operation: 33-4=29
Current State: 52:[59, 22, 29], Operations: ['33-4=29']
Exploring Operation: 59+22=81, Resulting Numbers: [29, 81]
Generated Node #3: [29, 81] from Operation: 59+22=81
Current State: 52:[29, 81], Operations: ['33-4=29', '59+22=81']
Exploring Operation: 81-29=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
56,
44,
35,
16
] | 88 | [
"44-35=9",
"16*9=144",
"144-56=88"
] | Current State: 88:[56, 44, 35, 16], Operations: []
Exploring Operation: 44-35=9, Resulting Numbers: [56, 16, 9]
Generated Node #2: [56, 16, 9] from Operation: 44-35=9
Current State: 88:[56, 16, 9], Operations: ['44-35=9']
Exploring Operation: 16*9=144, Resulting Numbers: [56, 144]
Generated Node #3: [56, 144] from Operation: 16*9=144
Current State: 88:[56, 144], Operations: ['44-35=9', '16*9=144']
Exploring Operation: 144-56=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
11,
32,
43,
7
] | 51 | [
"11*32=352",
"43*7=301",
"352-301=51"
] | Current State: 51:[11, 32, 43, 7], Operations: []
Exploring Operation: 11*32=352, Resulting Numbers: [43, 7, 352]
Generated Node #2: [43, 7, 352] from Operation: 11*32=352
Current State: 51:[43, 7, 352], Operations: ['11*32=352']
Exploring Operation: 43*7=301, Resulting Numbers: [352, 301]
Generated Node #3: [352, 301] from Operation: 43*7=301
Current State: 51:[352, 301], Operations: ['11*32=352', '43*7=301']
Exploring Operation: 352-301=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
50,
10,
7,
8
] | 47 | [
"50/10=5",
"8*5=40",
"7+40=47"
] | Current State: 47:[50, 10, 7, 8], Operations: []
Exploring Operation: 50/10=5, Resulting Numbers: [7, 8, 5]
Generated Node #2: [7, 8, 5] from Operation: 50/10=5
Current State: 47:[7, 8, 5], Operations: ['50/10=5']
Exploring Operation: 8*5=40, Resulting Numbers: [7, 40]
Generated Node #3: [7, 40] from Operation: 8*5=40
Current State: 47:[7, 40], Operations: ['50/10=5', '8*5=40']
Exploring Operation: 7+40=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
53,
17,
50,
76
] | 56 | [
"53+17=70",
"50+76=126",
"126-70=56"
] | Current State: 56:[53, 17, 50, 76], Operations: []
Exploring Operation: 53+17=70, Resulting Numbers: [50, 76, 70]
Generated Node #2: [50, 76, 70] from Operation: 53+17=70
Current State: 56:[50, 76, 70], Operations: ['53+17=70']
Exploring Operation: 50+76=126, Resulting Numbers: [70, 126]
Generated Node #3: [70, 126] from Operation: 50+76=126
Current State: 56:[70, 126], Operations: ['53+17=70', '50+76=126']
Exploring Operation: 126-70=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
71,
86,
61,
89
] | 43 | [
"86-71=15",
"89-61=28",
"15+28=43"
] | Current State: 43:[71, 86, 61, 89], Operations: []
Exploring Operation: 86-71=15, Resulting Numbers: [61, 89, 15]
Generated Node #2: [61, 89, 15] from Operation: 86-71=15
Current State: 43:[61, 89, 15], Operations: ['86-71=15']
Exploring Operation: 89-61=28, Resulting Numbers: [15, 28]
Generated Node #3: [15, 28] from Operation: 89-61=28
Current State: 43:[15, 28], Operations: ['86-71=15', '89-61=28']
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
17,
56,
90,
28
] | 58 | [
"17+28=45",
"90/45=2",
"56+2=58"
] | Current State: 58:[17, 56, 90, 28], Operations: []
Exploring Operation: 17+28=45, Resulting Numbers: [56, 90, 45]
Generated Node #2: [56, 90, 45] from Operation: 17+28=45
Current State: 58:[56, 90, 45], Operations: ['17+28=45']
Exploring Operation: 90/45=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 90/45=2
Current State: 58:[56, 2], Operations: ['17+28=45', '90/45=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
26,
73,
14,
16
] | 21 | [
"16-14=2",
"26*2=52",
"73-52=21"
] | Current State: 21:[26, 73, 14, 16], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [26, 73, 2]
Generated Node #2: [26, 73, 2] from Operation: 16-14=2
Current State: 21:[26, 73, 2], Operations: ['16-14=2']
Exploring Operation: 26*2=52, Resulting Numbers: [73, 52]
Generated Node #3: [73, 52] from Operation: 26*2=52
Current State: 21:[73, 52], Operations: ['16-14=2', '26*2=52']
Exploring Operation: 73-52=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
1,
47,
74,
41
] | 67 | [
"1+47=48",
"74+41=115",
"115-48=67"
] | Current State: 67:[1, 47, 74, 41], Operations: []
Exploring Operation: 1+47=48, Resulting Numbers: [74, 41, 48]
Generated Node #2: [74, 41, 48] from Operation: 1+47=48
Current State: 67:[74, 41, 48], Operations: ['1+47=48']
Exploring Operation: 74+41=115, Resulting Numbers: [48, 115]
Generated Node #3: [48, 115] from Operation: 74+41=115
Current State: 67:[48, 115], Operations: ['1+47=48', '74+41=115']
Exploring Operation: 115-48=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
34,
3,
55,
61
] | 43 | [
"34+3=37",
"61-55=6",
"37+6=43"
] | Current State: 43:[34, 3, 55, 61], Operations: []
Exploring Operation: 34+3=37, Resulting Numbers: [55, 61, 37]
Generated Node #2: [55, 61, 37] from Operation: 34+3=37
Current State: 43:[55, 61, 37], Operations: ['34+3=37']
Exploring Operation: 61-55=6, Resulting Numbers: [37, 6]
Generated Node #3: [37, 6] from Operation: 61-55=6
Current State: 43:[37, 6], Operations: ['34+3=37', '61-55=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
24,
91,
79,
93
] | 95 | [
"91-79=12",
"24/12=2",
"93+2=95"
] | Current State: 95:[24, 91, 79, 93], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [24, 93, 12]
Generated Node #2: [24, 93, 12] from Operation: 91-79=12
Current State: 95:[24, 93, 12], Operations: ['91-79=12']
Exploring Operation: 24/12=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 24/12=2
Current State: 95:[93, 2], Operations: ['91-79=12', '24/12=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
31,
17,
62,
86
] | 100 | [
"31+17=48",
"62+86=148",
"148-48=100"
] | Current State: 100:[31, 17, 62, 86], Operations: []
Exploring Operation: 31+17=48, Resulting Numbers: [62, 86, 48]
Generated Node #2: [62, 86, 48] from Operation: 31+17=48
Current State: 100:[62, 86, 48], Operations: ['31+17=48']
Exploring Operation: 62+86=148, Resulting Numbers: [48, 148]
Generated Node #3: [48, 148] from Operation: 62+86=148
Current State: 100:[48, 148], Operations: ['31+17=48', '62+86=148']
Exploring Operation: 148-48=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
72,
38,
4,
75
] | 73 | [
"72+4=76",
"76/38=2",
"75-2=73"
] | Current State: 73:[72, 38, 4, 75], Operations: []
Exploring Operation: 72+4=76, Resulting Numbers: [38, 75, 76]
Generated Node #2: [38, 75, 76] from Operation: 72+4=76
Current State: 73:[38, 75, 76], Operations: ['72+4=76']
Exploring Operation: 76/38=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 76/38=2
Current State: 73:[75, 2], Operations: ['72+4=76', '76/38=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
9,
76,
24,
19
] | 11 | [
"24-9=15",
"76/19=4",
"15-4=11"
] | Current State: 11:[9, 76, 24, 19], Operations: []
Exploring Operation: 24-9=15, Resulting Numbers: [76, 19, 15]
Generated Node #2: [76, 19, 15] from Operation: 24-9=15
Current State: 11:[76, 19, 15], Operations: ['24-9=15']
Exploring Operation: 76/19=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 76/19=4
Current State: 11:[15, 4], Operations: ['24-9=15', '76/19=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
75,
89,
58,
12
] | 32 | [
"89-75=14",
"58-12=46",
"46-14=32"
] | Current State: 32:[75, 89, 58, 12], Operations: []
Exploring Operation: 89-75=14, Resulting Numbers: [58, 12, 14]
Generated Node #2: [58, 12, 14] from Operation: 89-75=14
Current State: 32:[58, 12, 14], Operations: ['89-75=14']
Exploring Operation: 58-12=46, Resulting Numbers: [14, 46]
Generated Node #3: [14, 46] from Operation: 58-12=46
Current State: 32:[14, 46], Operations: ['89-75=14', '58-12=46']
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
64,
11,
35,
5
] | 22 | [
"64+11=75",
"35+75=110",
"110/5=22"
] | Current State: 22:[64, 11, 35, 5], Operations: []
Exploring Operation: 64+11=75, Resulting Numbers: [35, 5, 75]
Generated Node #2: [35, 5, 75] from Operation: 64+11=75
Current State: 22:[35, 5, 75], Operations: ['64+11=75']
Exploring Operation: 35+75=110, Resulting Numbers: [5, 110]
Generated Node #3: [5, 110] from Operation: 35+75=110
Current State: 22:[5, 110], Operations: ['64+11=75', '35+75=110']
Exploring Operation: 110/5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
37,
68,
15,
98
] | 91 | [
"37+68=105",
"105/15=7",
"98-7=91"
] | Current State: 91:[37, 68, 15, 98], Operations: []
Exploring Operation: 37+68=105, Resulting Numbers: [15, 98, 105]
Generated Node #2: [15, 98, 105] from Operation: 37+68=105
Current State: 91:[15, 98, 105], Operations: ['37+68=105']
Exploring Operation: 105/15=7, Resulting Numbers: [98, 7]
Generated Node #3: [98, 7] from Operation: 105/15=7
Current State: 91:[98, 7], Operations: ['37+68=105', '105/15=7']
Exploring Operation: 98-7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
10,
26,
9,
70
] | 37 | [
"70/10=7",
"9*7=63",
"63-26=37"
] | Current State: 37:[10, 26, 9, 70], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [26, 9, 7]
Generated Node #2: [26, 9, 7] from Operation: 70/10=7
Current State: 37:[26, 9, 7], Operations: ['70/10=7']
Exploring Operation: 9*7=63, Resulting Numbers: [26, 63]
Generated Node #3: [26, 63] from Operation: 9*7=63
Current State: 37:[26, 63], Operations: ['70/10=7', '9*7=63']
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
11,
53,
76,
61
] | 49 | [
"11+53=64",
"76-61=15",
"64-15=49"
] | Current State: 49:[11, 53, 76, 61], Operations: []
Exploring Operation: 11+53=64, Resulting Numbers: [76, 61, 64]
Generated Node #2: [76, 61, 64] from Operation: 11+53=64
Current State: 49:[76, 61, 64], Operations: ['11+53=64']
Exploring Operation: 76-61=15, Resulting Numbers: [64, 15]
Generated Node #3: [64, 15] from Operation: 76-61=15
Current State: 49:[64, 15], Operations: ['11+53=64', '76-61=15']
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
77,
59,
70,
3
] | 76 | [
"77-59=18",
"18/3=6",
"70+6=76"
] | Current State: 76:[77, 59, 70, 3], Operations: []
Exploring Operation: 77-59=18, Resulting Numbers: [70, 3, 18]
Generated Node #2: [70, 3, 18] from Operation: 77-59=18
Current State: 76:[70, 3, 18], Operations: ['77-59=18']
Exploring Operation: 18/3=6, Resulting Numbers: [70, 6]
Generated Node #3: [70, 6] from Operation: 18/3=6
Current State: 76:[70, 6], Operations: ['77-59=18', '18/3=6']
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
48,
58,
70,
91
] | 13 | [
"58-48=10",
"70/10=7",
"91/7=13"
] | Current State: 13:[48, 58, 70, 91], Operations: []
Exploring Operation: 58-48=10, Resulting Numbers: [70, 91, 10]
Generated Node #2: [70, 91, 10] from Operation: 58-48=10
Current State: 13:[70, 91, 10], Operations: ['58-48=10']
Exploring Operation: 70/10=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 70/10=7
Current State: 13:[91, 7], Operations: ['58-48=10', '70/10=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
28,
33,
90,
2
] | 87 | [
"33-28=5",
"90+2=92",
"92-5=87"
] | Current State: 87:[28, 33, 90, 2], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [90, 2, 5]
Generated Node #2: [90, 2, 5] from Operation: 33-28=5
Current State: 87:[90, 2, 5], Operations: ['33-28=5']
Exploring Operation: 90+2=92, Resulting Numbers: [5, 92]
Generated Node #3: [5, 92] from Operation: 90+2=92
Current State: 87:[5, 92], Operations: ['33-28=5', '90+2=92']
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
60,
72,
61,
51
] | 66 | [
"61-51=10",
"60/10=6",
"72-6=66"
] | Current State: 66:[60, 72, 61, 51], Operations: []
Exploring Operation: 61-51=10, Resulting Numbers: [60, 72, 10]
Generated Node #2: [60, 72, 10] from Operation: 61-51=10
Current State: 66:[60, 72, 10], Operations: ['61-51=10']
Exploring Operation: 60/10=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 60/10=6
Current State: 66:[72, 6], Operations: ['61-51=10', '60/10=6']
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
48,
1,
83,
76
] | 42 | [
"48+1=49",
"83-76=7",
"49-7=42"
] | Current State: 42:[48, 1, 83, 76], Operations: []
Exploring Operation: 48+1=49, Resulting Numbers: [83, 76, 49]
Generated Node #2: [83, 76, 49] from Operation: 48+1=49
Current State: 42:[83, 76, 49], Operations: ['48+1=49']
Exploring Operation: 83-76=7, Resulting Numbers: [49, 7]
Generated Node #3: [49, 7] from Operation: 83-76=7
Current State: 42:[49, 7], Operations: ['48+1=49', '83-76=7']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
71,
18,
37,
1
] | 17 | [
"71-18=53",
"37-1=36",
"53-36=17"
] | Current State: 17:[71, 18, 37, 1], Operations: []
Exploring Operation: 71-18=53, Resulting Numbers: [37, 1, 53]
Generated Node #2: [37, 1, 53] from Operation: 71-18=53
Current State: 17:[37, 1, 53], Operations: ['71-18=53']
Exploring Operation: 37-1=36, Resulting Numbers: [53, 36]
Generated Node #3: [53, 36] from Operation: 37-1=36
Current State: 17:[53, 36], Operations: ['71-18=53', '37-1=36']
Exploring Operation: 53-36=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
59,
20,
23,
46
] | 19 | [
"20*46=920",
"920/23=40",
"59-40=19"
] | Current State: 19:[59, 20, 23, 46], Operations: []
Exploring Operation: 20*46=920, Resulting Numbers: [59, 23, 920]
Generated Node #2: [59, 23, 920] from Operation: 20*46=920
Current State: 19:[59, 23, 920], Operations: ['20*46=920']
Exploring Operation: 920/23=40, Resulting Numbers: [59, 40]
Generated Node #3: [59, 40] from Operation: 920/23=40
Current State: 19:[59, 40], Operations: ['20*46=920', '920/23=40']
Exploring Operation: 59-40=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
91,
7,
41,
9
] | 76 | [
"91/7=13",
"9*13=117",
"117-41=76"
] | Current State: 76:[91, 7, 41, 9], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [41, 9, 13]
Generated Node #2: [41, 9, 13] from Operation: 91/7=13
Current State: 76:[41, 9, 13], Operations: ['91/7=13']
Exploring Operation: 9*13=117, Resulting Numbers: [41, 117]
Generated Node #3: [41, 117] from Operation: 9*13=117
Current State: 76:[41, 117], Operations: ['91/7=13', '9*13=117']
Exploring Operation: 117-41=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
36,
61,
10,
14
] | 29 | [
"61-36=25",
"14-10=4",
"25+4=29"
] | Current State: 29:[36, 61, 10, 14], Operations: []
Exploring Operation: 61-36=25, Resulting Numbers: [10, 14, 25]
Generated Node #2: [10, 14, 25] from Operation: 61-36=25
Current State: 29:[10, 14, 25], Operations: ['61-36=25']
Exploring Operation: 14-10=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 14-10=4
Current State: 29:[25, 4], Operations: ['61-36=25', '14-10=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
29,
95,
73,
56
] | 83 | [
"95-29=66",
"73-56=17",
"66+17=83"
] | Current State: 83:[29, 95, 73, 56], Operations: []
Exploring Operation: 95-29=66, Resulting Numbers: [73, 56, 66]
Generated Node #2: [73, 56, 66] from Operation: 95-29=66
Current State: 83:[73, 56, 66], Operations: ['95-29=66']
Exploring Operation: 73-56=17, Resulting Numbers: [66, 17]
Generated Node #3: [66, 17] from Operation: 73-56=17
Current State: 83:[66, 17], Operations: ['95-29=66', '73-56=17']
Exploring Operation: 66+17=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
49,
64,
5,
91
] | 18 | [
"64+91=155",
"155/5=31",
"49-31=18"
] | Current State: 18:[49, 64, 5, 91], Operations: []
Exploring Operation: 64+91=155, Resulting Numbers: [49, 5, 155]
Generated Node #2: [49, 5, 155] from Operation: 64+91=155
Current State: 18:[49, 5, 155], Operations: ['64+91=155']
Exploring Operation: 155/5=31, Resulting Numbers: [49, 31]
Generated Node #3: [49, 31] from Operation: 155/5=31
Current State: 18:[49, 31], Operations: ['64+91=155', '155/5=31']
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
18,
74,
84,
83
] | 97 | [
"84-74=10",
"18*10=180",
"180-83=97"
] | Current State: 97:[18, 74, 84, 83], Operations: []
Exploring Operation: 84-74=10, Resulting Numbers: [18, 83, 10]
Generated Node #2: [18, 83, 10] from Operation: 84-74=10
Current State: 97:[18, 83, 10], Operations: ['84-74=10']
Exploring Operation: 18*10=180, Resulting Numbers: [83, 180]
Generated Node #3: [83, 180] from Operation: 18*10=180
Current State: 97:[83, 180], Operations: ['84-74=10', '18*10=180']
Exploring Operation: 180-83=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
3,
26,
51,
50
] | 81 | [
"26+51=77",
"77-50=27",
"3*27=81"
] | Current State: 81:[3, 26, 51, 50], Operations: []
Exploring Operation: 26+51=77, Resulting Numbers: [3, 50, 77]
Generated Node #2: [3, 50, 77] from Operation: 26+51=77
Current State: 81:[3, 50, 77], Operations: ['26+51=77']
Exploring Operation: 77-50=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 77-50=27
Current State: 81:[3, 27], Operations: ['26+51=77', '77-50=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
16,
69,
71,
5
] | 60 | [
"16*5=80",
"69+71=140",
"140-80=60"
] | Current State: 60:[16, 69, 71, 5], Operations: []
Exploring Operation: 16*5=80, Resulting Numbers: [69, 71, 80]
Generated Node #2: [69, 71, 80] from Operation: 16*5=80
Current State: 60:[69, 71, 80], Operations: ['16*5=80']
Exploring Operation: 69+71=140, Resulting Numbers: [80, 140]
Generated Node #3: [80, 140] from Operation: 69+71=140
Current State: 60:[80, 140], Operations: ['16*5=80', '69+71=140']
Exploring Operation: 140-80=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
83,
60,
78,
78
] | 23 | [
"83-60=23",
"78-78=0",
"23+0=23"
] | Current State: 23:[83, 60, 78, 78], Operations: []
Exploring Operation: 83-60=23, Resulting Numbers: [78, 78, 23]
Generated Node #2: [78, 78, 23] from Operation: 83-60=23
Current State: 23:[78, 78, 23], Operations: ['83-60=23']
Exploring Operation: 78-78=0, Resulting Numbers: [23, 0]
Generated Node #3: [23, 0] from Operation: 78-78=0
Current State: 23:[23, 0], Operations: ['83-60=23', '78-78=0']
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
99,
67,
4,
3
] | 38 | [
"99/3=33",
"67+4=71",
"71-33=38"
] | Current State: 38:[99, 67, 4, 3], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [67, 4, 33]
Generated Node #2: [67, 4, 33] from Operation: 99/3=33
Current State: 38:[67, 4, 33], Operations: ['99/3=33']
Exploring Operation: 67+4=71, Resulting Numbers: [33, 71]
Generated Node #3: [33, 71] from Operation: 67+4=71
Current State: 38:[33, 71], Operations: ['99/3=33', '67+4=71']
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
44,
30,
63,
16
] | 65 | [
"44-30=14",
"63+16=79",
"79-14=65"
] | Current State: 65:[44, 30, 63, 16], Operations: []
Exploring Operation: 44-30=14, Resulting Numbers: [63, 16, 14]
Generated Node #2: [63, 16, 14] from Operation: 44-30=14
Current State: 65:[63, 16, 14], Operations: ['44-30=14']
Exploring Operation: 63+16=79, Resulting Numbers: [14, 79]
Generated Node #3: [14, 79] from Operation: 63+16=79
Current State: 65:[14, 79], Operations: ['44-30=14', '63+16=79']
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
1,
20,
43,
4
] | 31 | [
"1+43=44",
"44/4=11",
"20+11=31"
] | Current State: 31:[1, 20, 43, 4], Operations: []
Exploring Operation: 1+43=44, Resulting Numbers: [20, 4, 44]
Generated Node #2: [20, 4, 44] from Operation: 1+43=44
Current State: 31:[20, 4, 44], Operations: ['1+43=44']
Exploring Operation: 44/4=11, Resulting Numbers: [20, 11]
Generated Node #3: [20, 11] from Operation: 44/4=11
Current State: 31:[20, 11], Operations: ['1+43=44', '44/4=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
81,
41,
89,
26
] | 75 | [
"81-41=40",
"89+26=115",
"115-40=75"
] | Current State: 75:[81, 41, 89, 26], Operations: []
Exploring Operation: 81-41=40, Resulting Numbers: [89, 26, 40]
Generated Node #2: [89, 26, 40] from Operation: 81-41=40
Current State: 75:[89, 26, 40], Operations: ['81-41=40']
Exploring Operation: 89+26=115, Resulting Numbers: [40, 115]
Generated Node #3: [40, 115] from Operation: 89+26=115
Current State: 75:[40, 115], Operations: ['81-41=40', '89+26=115']
Exploring Operation: 115-40=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
97,
90,
7,
21
] | 21 | [
"97-90=7",
"7+21=28",
"28-7=21"
] | Current State: 21:[97, 90, 7, 21], Operations: []
Exploring Operation: 97-90=7, Resulting Numbers: [7, 21, 7]
Generated Node #2: [7, 21, 7] from Operation: 97-90=7
Current State: 21:[7, 21, 7], Operations: ['97-90=7']
Exploring Operation: 7+21=28, Resulting Numbers: [28]
28,21 equal: Goal Reached
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
12,
46,
5,
31
] | 36 | [
"46-31=15",
"12*15=180",
"180/5=36"
] | Current State: 36:[12, 46, 5, 31], Operations: []
Exploring Operation: 46-31=15, Resulting Numbers: [12, 5, 15]
Generated Node #2: [12, 5, 15] from Operation: 46-31=15
Current State: 36:[12, 5, 15], Operations: ['46-31=15']
Exploring Operation: 12*15=180, Resulting Numbers: [5, 180]
Generated Node #3: [5, 180] from Operation: 12*15=180
Current State: 36:[5, 180], Operations: ['46-31=15', '12*15=180']
Exploring Operation: 180/5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
1,
80,
91,
41
] | 93 | [
"41-1=40",
"80/40=2",
"91+2=93"
] | Current State: 93:[1, 80, 91, 41], Operations: []
Exploring Operation: 41-1=40, Resulting Numbers: [80, 91, 40]
Generated Node #2: [80, 91, 40] from Operation: 41-1=40
Current State: 93:[80, 91, 40], Operations: ['41-1=40']
Exploring Operation: 80/40=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 80/40=2
Current State: 93:[91, 2], Operations: ['41-1=40', '80/40=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
9,
81,
4,
11
] | 16 | [
"81/9=9",
"11-4=7",
"9+7=16"
] | Current State: 16:[9, 81, 4, 11], Operations: []
Exploring Operation: 81/9=9, Resulting Numbers: [4, 11, 9]
Generated Node #2: [4, 11, 9] from Operation: 81/9=9
Current State: 16:[4, 11, 9], Operations: ['81/9=9']
Exploring Operation: 11-4=7, Resulting Numbers: [9, 7]
Generated Node #3: [9, 7] from Operation: 11-4=7
Current State: 16:[9, 7], Operations: ['81/9=9', '11-4=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
36,
9,
59,
62
] | 30 | [
"36-9=27",
"62-59=3",
"27+3=30"
] | Current State: 30:[36, 9, 59, 62], Operations: []
Exploring Operation: 36-9=27, Resulting Numbers: [59, 62, 27]
Generated Node #2: [59, 62, 27] from Operation: 36-9=27
Current State: 30:[59, 62, 27], Operations: ['36-9=27']
Exploring Operation: 62-59=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 62-59=3
Current State: 30:[27, 3], Operations: ['36-9=27', '62-59=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
64,
3,
6,
36
] | 32 | [
"64*3=192",
"36/6=6",
"192/6=32"
] | Current State: 32:[64, 3, 6, 36], Operations: []
Exploring Operation: 64*3=192, Resulting Numbers: [6, 36, 192]
Generated Node #2: [6, 36, 192] from Operation: 64*3=192
Current State: 32:[6, 36, 192], Operations: ['64*3=192']
Exploring Operation: 36/6=6, Resulting Numbers: [192, 6]
Generated Node #3: [192, 6] from Operation: 36/6=6
Current State: 32:[192, 6], Operations: ['64*3=192', '36/6=6']
Exploring Operation: 192/6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
19,
57,
84,
38
] | 75 | [
"84*38=3192",
"3192/57=56",
"19+56=75"
] | Current State: 75:[19, 57, 84, 38], Operations: []
Exploring Operation: 84*38=3192, Resulting Numbers: [19, 57, 3192]
Generated Node #2: [19, 57, 3192] from Operation: 84*38=3192
Current State: 75:[19, 57, 3192], Operations: ['84*38=3192']
Exploring Operation: 3192/57=56, Resulting Numbers: [19, 56]
Generated Node #3: [19, 56] from Operation: 3192/57=56
Current State: 75:[19, 56], Operations: ['84*38=3192', '3192/57=56']
Exploring Operation: 19+56=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
42,
51,
42,
28
] | 75 | [
"42*51=2142",
"2142-42=2100",
"2100/28=75"
] | Current State: 75:[42, 51, 42, 28], Operations: []
Exploring Operation: 42*51=2142, Resulting Numbers: [28, 2142]
Generated Node #2: [28, 2142] from Operation: 42*51=2142
Current State: 75:[28, 2142], Operations: ['42*51=2142']
Exploring Operation: 2142-42=2100, Resulting Numbers: [28, 2100]
Generated Node #3: [28, 2100] from Operation: 2142-42=2100
Current State: 75:[28, 2100], Operations: ['42*51=2142', '2142-42=2100']
Exploring Operation: 2100/28=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
3,
62,
78,
84
] | 97 | [
"3+62=65",
"78+84=162",
"162-65=97"
] | Current State: 97:[3, 62, 78, 84], Operations: []
Exploring Operation: 3+62=65, Resulting Numbers: [78, 84, 65]
Generated Node #2: [78, 84, 65] from Operation: 3+62=65
Current State: 97:[78, 84, 65], Operations: ['3+62=65']
Exploring Operation: 78+84=162, Resulting Numbers: [65, 162]
Generated Node #3: [65, 162] from Operation: 78+84=162
Current State: 97:[65, 162], Operations: ['3+62=65', '78+84=162']
Exploring Operation: 162-65=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
72,
67,
61,
84
] | 86 | [
"67-61=6",
"84/6=14",
"72+14=86"
] | Current State: 86:[72, 67, 61, 84], Operations: []
Exploring Operation: 67-61=6, Resulting Numbers: [72, 84, 6]
Generated Node #2: [72, 84, 6] from Operation: 67-61=6
Current State: 86:[72, 84, 6], Operations: ['67-61=6']
Exploring Operation: 84/6=14, Resulting Numbers: [72, 14]
Generated Node #3: [72, 14] from Operation: 84/6=14
Current State: 86:[72, 14], Operations: ['67-61=6', '84/6=14']
Exploring Operation: 72+14=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
57,
50,
51,
38
] | 72 | [
"57-51=6",
"50-38=12",
"6*12=72"
] | Current State: 72:[57, 50, 51, 38], Operations: []
Exploring Operation: 57-51=6, Resulting Numbers: [50, 38, 6]
Generated Node #2: [50, 38, 6] from Operation: 57-51=6
Current State: 72:[50, 38, 6], Operations: ['57-51=6']
Exploring Operation: 50-38=12, Resulting Numbers: [6, 12]
Generated Node #3: [6, 12] from Operation: 50-38=12
Current State: 72:[6, 12], Operations: ['57-51=6', '50-38=12']
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
49,
72,
77,
44
] | 100 | [
"49*44=2156",
"2156/77=28",
"72+28=100"
] | Current State: 100:[49, 72, 77, 44], Operations: []
Exploring Operation: 49*44=2156, Resulting Numbers: [72, 77, 2156]
Generated Node #2: [72, 77, 2156] from Operation: 49*44=2156
Current State: 100:[72, 77, 2156], Operations: ['49*44=2156']
Exploring Operation: 2156/77=28, Resulting Numbers: [72, 28]
Generated Node #3: [72, 28] from Operation: 2156/77=28
Current State: 100:[72, 28], Operations: ['49*44=2156', '2156/77=28']
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
11,
63,
32,
65
] | 21 | [
"11*63=693",
"65-32=33",
"693/33=21"
] | Current State: 21:[11, 63, 32, 65], Operations: []
Exploring Operation: 11*63=693, Resulting Numbers: [32, 65, 693]
Generated Node #2: [32, 65, 693] from Operation: 11*63=693
Current State: 21:[32, 65, 693], Operations: ['11*63=693']
Exploring Operation: 65-32=33, Resulting Numbers: [693, 33]
Generated Node #3: [693, 33] from Operation: 65-32=33
Current State: 21:[693, 33], Operations: ['11*63=693', '65-32=33']
Exploring Operation: 693/33=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
62,
90,
58,
88
] | 60 | [
"62+58=120",
"90-88=2",
"120/2=60"
] | Current State: 60:[62, 90, 58, 88], Operations: []
Exploring Operation: 62+58=120, Resulting Numbers: [90, 88, 120]
Generated Node #2: [90, 88, 120] from Operation: 62+58=120
Current State: 60:[90, 88, 120], Operations: ['62+58=120']
Exploring Operation: 90-88=2, Resulting Numbers: [120, 2]
Generated Node #3: [120, 2] from Operation: 90-88=2
Current State: 60:[120, 2], Operations: ['62+58=120', '90-88=2']
Exploring Operation: 120/2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
16,
32,
6,
4
] | 10 | [
"32-16=16",
"16/4=4",
"6+4=10"
] | Current State: 10:[16, 32, 6, 4], Operations: []
Exploring Operation: 32-16=16, Resulting Numbers: [6, 4, 16]
Generated Node #2: [6, 4, 16] from Operation: 32-16=16
Current State: 10:[6, 4, 16], Operations: ['32-16=16']
Exploring Operation: 16/4=4, Resulting Numbers: [6, 4]
Generated Node #3: [6, 4] from Operation: 16/4=4
Current State: 10:[6, 4], Operations: ['32-16=16', '16/4=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
33,
35,
90,
89
] | 44 | [
"35-33=2",
"90/2=45",
"89-45=44"
] | Current State: 44:[33, 35, 90, 89], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [90, 89, 2]
Generated Node #2: [90, 89, 2] from Operation: 35-33=2
Current State: 44:[90, 89, 2], Operations: ['35-33=2']
Exploring Operation: 90/2=45, Resulting Numbers: [89, 45]
Generated Node #3: [89, 45] from Operation: 90/2=45
Current State: 44:[89, 45], Operations: ['35-33=2', '90/2=45']
Exploring Operation: 89-45=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
28,
4,
84,
95
] | 94 | [
"84/28=3",
"95-4=91",
"3+91=94"
] | Current State: 94:[28, 4, 84, 95], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [4, 95, 3]
Generated Node #2: [4, 95, 3] from Operation: 84/28=3
Current State: 94:[4, 95, 3], Operations: ['84/28=3']
Exploring Operation: 95-4=91, Resulting Numbers: [3, 91]
Generated Node #3: [3, 91] from Operation: 95-4=91
Current State: 94:[3, 91], Operations: ['84/28=3', '95-4=91']
Exploring Operation: 3+91=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
43,
8,
9,
32
] | 83 | [
"43-32=11",
"8*9=72",
"11+72=83"
] | Current State: 83:[43, 8, 9, 32], Operations: []
Exploring Operation: 43-32=11, Resulting Numbers: [8, 9, 11]
Generated Node #2: [8, 9, 11] from Operation: 43-32=11
Current State: 83:[8, 9, 11], Operations: ['43-32=11']
Exploring Operation: 8*9=72, Resulting Numbers: [11, 72]
Generated Node #3: [11, 72] from Operation: 8*9=72
Current State: 83:[11, 72], Operations: ['43-32=11', '8*9=72']
Exploring Operation: 11+72=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
18,
3,
12,
87
] | 75 | [
"12-3=9",
"18*9=162",
"162-87=75"
] | Current State: 75:[18, 3, 12, 87], Operations: []
Exploring Operation: 12-3=9, Resulting Numbers: [18, 87, 9]
Generated Node #2: [18, 87, 9] from Operation: 12-3=9
Current State: 75:[18, 87, 9], Operations: ['12-3=9']
Exploring Operation: 18*9=162, Resulting Numbers: [87, 162]
Generated Node #3: [87, 162] from Operation: 18*9=162
Current State: 75:[87, 162], Operations: ['12-3=9', '18*9=162']
Exploring Operation: 162-87=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
2,
32,
93,
64
] | 97 | [
"32/2=16",
"64/16=4",
"93+4=97"
] | Current State: 97:[2, 32, 93, 64], Operations: []
Exploring Operation: 32/2=16, Resulting Numbers: [93, 64, 16]
Generated Node #2: [93, 64, 16] from Operation: 32/2=16
Current State: 97:[93, 64, 16], Operations: ['32/2=16']
Exploring Operation: 64/16=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 64/16=4
Current State: 97:[93, 4], Operations: ['32/2=16', '64/16=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
33,
67,
47,
54
] | 27 | [
"67-33=34",
"54-47=7",
"34-7=27"
] | Current State: 27:[33, 67, 47, 54], Operations: []
Exploring Operation: 67-33=34, Resulting Numbers: [47, 54, 34]
Generated Node #2: [47, 54, 34] from Operation: 67-33=34
Current State: 27:[47, 54, 34], Operations: ['67-33=34']
Exploring Operation: 54-47=7, Resulting Numbers: [34, 7]
Generated Node #3: [34, 7] from Operation: 54-47=7
Current State: 27:[34, 7], Operations: ['67-33=34', '54-47=7']
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
2,
93,
29,
40
] | 52 | [
"93-29=64",
"40+64=104",
"104/2=52"
] | Current State: 52:[2, 93, 29, 40], Operations: []
Exploring Operation: 93-29=64, Resulting Numbers: [2, 40, 64]
Generated Node #2: [2, 40, 64] from Operation: 93-29=64
Current State: 52:[2, 40, 64], Operations: ['93-29=64']
Exploring Operation: 40+64=104, Resulting Numbers: [2, 104]
Generated Node #3: [2, 104] from Operation: 40+64=104
Current State: 52:[2, 104], Operations: ['93-29=64', '40+64=104']
Exploring Operation: 104/2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
97,
6,
65,
14
] | 10 | [
"97-6=91",
"65*14=910",
"910/91=10"
] | Current State: 10:[97, 6, 65, 14], Operations: []
Exploring Operation: 97-6=91, Resulting Numbers: [65, 14, 91]
Generated Node #2: [65, 14, 91] from Operation: 97-6=91
Current State: 10:[65, 14, 91], Operations: ['97-6=91']
Exploring Operation: 65*14=910, Resulting Numbers: [91, 910]
Generated Node #3: [91, 910] from Operation: 65*14=910
Current State: 10:[91, 910], Operations: ['97-6=91', '65*14=910']
Exploring Operation: 910/91=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
3,
27,
28,
15
] | 56 | [
"3+27=30",
"28*30=840",
"840/15=56"
] | Current State: 56:[3, 27, 28, 15], Operations: []
Exploring Operation: 3+27=30, Resulting Numbers: [28, 15, 30]
Generated Node #2: [28, 15, 30] from Operation: 3+27=30
Current State: 56:[28, 15, 30], Operations: ['3+27=30']
Exploring Operation: 28*30=840, Resulting Numbers: [15, 840]
Generated Node #3: [15, 840] from Operation: 28*30=840
Current State: 56:[15, 840], Operations: ['3+27=30', '28*30=840']
Exploring Operation: 840/15=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
58,
11,
24,
72
] | 10 | [
"58+72=130",
"24-11=13",
"130/13=10"
] | Current State: 10:[58, 11, 24, 72], Operations: []
Exploring Operation: 58+72=130, Resulting Numbers: [11, 24, 130]
Generated Node #2: [11, 24, 130] from Operation: 58+72=130
Current State: 10:[11, 24, 130], Operations: ['58+72=130']
Exploring Operation: 24-11=13, Resulting Numbers: [130, 13]
Generated Node #3: [130, 13] from Operation: 24-11=13
Current State: 10:[130, 13], Operations: ['58+72=130', '24-11=13']
Exploring Operation: 130/13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
81,
75,
57,
18
] | 81 | [
"81+75=156",
"57+18=75",
"156-75=81"
] | Current State: 81:[81, 75, 57, 18], Operations: []
Exploring Operation: 81+75=156, Resulting Numbers: [57, 18, 156]
Generated Node #2: [57, 18, 156] from Operation: 81+75=156
Current State: 81:[57, 18, 156], Operations: ['81+75=156']
Exploring Operation: 57+18=75, Resulting Numbers: [156, 75]
Generated Node #3: [156, 75] from Operation: 57+18=75
Current State: 81:[156, 75], Operations: ['81+75=156', '57+18=75']
Exploring Operation: 156-75=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
65,
62,
17,
2
] | 42 | [
"65+17=82",
"62*2=124",
"124-82=42"
] | Current State: 42:[65, 62, 17, 2], Operations: []
Exploring Operation: 65+17=82, Resulting Numbers: [62, 2, 82]
Generated Node #2: [62, 2, 82] from Operation: 65+17=82
Current State: 42:[62, 2, 82], Operations: ['65+17=82']
Exploring Operation: 62*2=124, Resulting Numbers: [82, 124]
Generated Node #3: [82, 124] from Operation: 62*2=124
Current State: 42:[82, 124], Operations: ['65+17=82', '62*2=124']
Exploring Operation: 124-82=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
89,
77,
65,
11
] | 65 | [
"89-77=12",
"12-11=1",
"65*1=65"
] | Current State: 65:[89, 77, 65, 11], Operations: []
Exploring Operation: 89-77=12, Resulting Numbers: [65, 11, 12]
Generated Node #2: [65, 11, 12] from Operation: 89-77=12
Current State: 65:[65, 11, 12], Operations: ['89-77=12']
Exploring Operation: 12-11=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 12-11=1
Current State: 65:[65, 1], Operations: ['89-77=12', '12-11=1']
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
50,
56,
2,
94
] | 50 | [
"56-50=6",
"94+6=100",
"100/2=50"
] | Current State: 50:[50, 56, 2, 94], Operations: []
Exploring Operation: 56-50=6, Resulting Numbers: [2, 94, 6]
Generated Node #2: [2, 94, 6] from Operation: 56-50=6
Current State: 50:[2, 94, 6], Operations: ['56-50=6']
Exploring Operation: 94+6=100, Resulting Numbers: [2, 100]
Generated Node #3: [2, 100] from Operation: 94+6=100
Current State: 50:[2, 100], Operations: ['56-50=6', '94+6=100']
Exploring Operation: 100/2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
82,
33,
16,
18
] | 74 | [
"18-16=2",
"82/2=41",
"33+41=74"
] | Current State: 74:[82, 33, 16, 18], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [82, 33, 2]
Generated Node #2: [82, 33, 2] from Operation: 18-16=2
Current State: 74:[82, 33, 2], Operations: ['18-16=2']
Exploring Operation: 82/2=41, Resulting Numbers: [33, 41]
Generated Node #3: [33, 41] from Operation: 82/2=41
Current State: 74:[33, 41], Operations: ['18-16=2', '82/2=41']
Exploring Operation: 33+41=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
24,
45,
19,
92
] | 42 | [
"24+45=69",
"19+92=111",
"111-69=42"
] | Current State: 42:[24, 45, 19, 92], Operations: []
Exploring Operation: 24+45=69, Resulting Numbers: [19, 92, 69]
Generated Node #2: [19, 92, 69] from Operation: 24+45=69
Current State: 42:[19, 92, 69], Operations: ['24+45=69']
Exploring Operation: 19+92=111, Resulting Numbers: [69, 111]
Generated Node #3: [69, 111] from Operation: 19+92=111
Current State: 42:[69, 111], Operations: ['24+45=69', '19+92=111']
Exploring Operation: 111-69=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
49,
56,
36,
12
] | 48 | [
"56-49=7",
"12*7=84",
"84-36=48"
] | Current State: 48:[49, 56, 36, 12], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [36, 12, 7]
Generated Node #2: [36, 12, 7] from Operation: 56-49=7
Current State: 48:[36, 12, 7], Operations: ['56-49=7']
Exploring Operation: 12*7=84, Resulting Numbers: [36, 84]
Generated Node #3: [36, 84] from Operation: 12*7=84
Current State: 48:[36, 84], Operations: ['56-49=7', '12*7=84']
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
6,
27,
7,
30
] | 54 | [
"30/6=5",
"7-5=2",
"27*2=54"
] | Current State: 54:[6, 27, 7, 30], Operations: []
Exploring Operation: 30/6=5, Resulting Numbers: [27, 7, 5]
Generated Node #2: [27, 7, 5] from Operation: 30/6=5
Current State: 54:[27, 7, 5], Operations: ['30/6=5']
Exploring Operation: 7-5=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 7-5=2
Current State: 54:[27, 2], Operations: ['30/6=5', '7-5=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
58,
35,
53,
47
] | 99 | [
"58+35=93",
"53-47=6",
"93+6=99"
] | Current State: 99:[58, 35, 53, 47], Operations: []
Exploring Operation: 58+35=93, Resulting Numbers: [53, 47, 93]
Generated Node #2: [53, 47, 93] from Operation: 58+35=93
Current State: 99:[53, 47, 93], Operations: ['58+35=93']
Exploring Operation: 53-47=6, Resulting Numbers: [93, 6]
Generated Node #3: [93, 6] from Operation: 53-47=6
Current State: 99:[93, 6], Operations: ['58+35=93', '53-47=6']
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
46,
52,
51,
49
] | 100 | [
"46+52=98",
"51-49=2",
"98+2=100"
] | Current State: 100:[46, 52, 51, 49], Operations: []
Exploring Operation: 46+52=98, Resulting Numbers: [51, 49, 98]
Generated Node #2: [51, 49, 98] from Operation: 46+52=98
Current State: 100:[51, 49, 98], Operations: ['46+52=98']
Exploring Operation: 51-49=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 51-49=2
Current State: 100:[98, 2], Operations: ['46+52=98', '51-49=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
81,
25,
77,
82
] | 61 | [
"81-25=56",
"82-77=5",
"56+5=61"
] | Current State: 61:[81, 25, 77, 82], Operations: []
Exploring Operation: 81-25=56, Resulting Numbers: [77, 82, 56]
Generated Node #2: [77, 82, 56] from Operation: 81-25=56
Current State: 61:[77, 82, 56], Operations: ['81-25=56']
Exploring Operation: 82-77=5, Resulting Numbers: [56, 5]
Generated Node #3: [56, 5] from Operation: 82-77=5
Current State: 61:[56, 5], Operations: ['81-25=56', '82-77=5']
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
71,
93,
23,
14
] | 66 | [
"93-23=70",
"70/14=5",
"71-5=66"
] | Current State: 66:[71, 93, 23, 14], Operations: []
Exploring Operation: 93-23=70, Resulting Numbers: [71, 14, 70]
Generated Node #2: [71, 14, 70] from Operation: 93-23=70
Current State: 66:[71, 14, 70], Operations: ['93-23=70']
Exploring Operation: 70/14=5, Resulting Numbers: [71, 5]
Generated Node #3: [71, 5] from Operation: 70/14=5
Current State: 66:[71, 5], Operations: ['93-23=70', '70/14=5']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
6,
57,
59,
74
] | 48 | [
"6+57=63",
"74-59=15",
"63-15=48"
] | Current State: 48:[6, 57, 59, 74], Operations: []
Exploring Operation: 6+57=63, Resulting Numbers: [59, 74, 63]
Generated Node #2: [59, 74, 63] from Operation: 6+57=63
Current State: 48:[59, 74, 63], Operations: ['6+57=63']
Exploring Operation: 74-59=15, Resulting Numbers: [63, 15]
Generated Node #3: [63, 15] from Operation: 74-59=15
Current State: 48:[63, 15], Operations: ['6+57=63', '74-59=15']
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
39,
2,
4,
20
] | 61 | [
"39-2=37",
"4+20=24",
"37+24=61"
] | Current State: 61:[39, 2, 4, 20], Operations: []
Exploring Operation: 39-2=37, Resulting Numbers: [4, 20, 37]
Generated Node #2: [4, 20, 37] from Operation: 39-2=37
Current State: 61:[4, 20, 37], Operations: ['39-2=37']
Exploring Operation: 4+20=24, Resulting Numbers: [37, 24]
Generated Node #3: [37, 24] from Operation: 4+20=24
Current State: 61:[37, 24], Operations: ['39-2=37', '4+20=24']
Exploring Operation: 37+24=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
92,
2,
61,
25
] | 54 | [
"92-2=90",
"61-25=36",
"90-36=54"
] | Current State: 54:[92, 2, 61, 25], Operations: []
Exploring Operation: 92-2=90, Resulting Numbers: [61, 25, 90]
Generated Node #2: [61, 25, 90] from Operation: 92-2=90
Current State: 54:[61, 25, 90], Operations: ['92-2=90']
Exploring Operation: 61-25=36, Resulting Numbers: [90, 36]
Generated Node #3: [90, 36] from Operation: 61-25=36
Current State: 54:[90, 36], Operations: ['92-2=90', '61-25=36']
Exploring Operation: 90-36=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
39,
82,
38,
97
] | 62 | [
"39+82=121",
"97-38=59",
"121-59=62"
] | Current State: 62:[39, 82, 38, 97], Operations: []
Exploring Operation: 39+82=121, Resulting Numbers: [38, 97, 121]
Generated Node #2: [38, 97, 121] from Operation: 39+82=121
Current State: 62:[38, 97, 121], Operations: ['39+82=121']
Exploring Operation: 97-38=59, Resulting Numbers: [121, 59]
Generated Node #3: [121, 59] from Operation: 97-38=59
Current State: 62:[121, 59], Operations: ['39+82=121', '97-38=59']
Exploring Operation: 121-59=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
9,
50,
26,
11
] | 37 | [
"11-9=2",
"26/2=13",
"50-13=37"
] | Current State: 37:[9, 50, 26, 11], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [50, 26, 2]
Generated Node #2: [50, 26, 2] from Operation: 11-9=2
Current State: 37:[50, 26, 2], Operations: ['11-9=2']
Exploring Operation: 26/2=13, Resulting Numbers: [50, 13]
Generated Node #3: [50, 13] from Operation: 26/2=13
Current State: 37:[50, 13], Operations: ['11-9=2', '26/2=13']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
1,
28,
6,
69
] | 35 | [
"1*28=28",
"69-6=63",
"63-28=35"
] | Current State: 35:[1, 28, 6, 69], Operations: []
Exploring Operation: 1*28=28, Resulting Numbers: [6, 69, 28]
Generated Node #2: [6, 69, 28] from Operation: 1*28=28
Current State: 35:[6, 69, 28], Operations: ['1*28=28']
Exploring Operation: 69-6=63, Resulting Numbers: [28, 63]
Generated Node #3: [28, 63] from Operation: 69-6=63
Current State: 35:[28, 63], Operations: ['1*28=28', '69-6=63']
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
19,
99,
40,
10
] | 68 | [
"19+99=118",
"40+10=50",
"118-50=68"
] | Current State: 68:[19, 99, 40, 10], Operations: []
Exploring Operation: 19+99=118, Resulting Numbers: [40, 10, 118]
Generated Node #2: [40, 10, 118] from Operation: 19+99=118
Current State: 68:[40, 10, 118], Operations: ['19+99=118']
Exploring Operation: 40+10=50, Resulting Numbers: [118, 50]
Generated Node #3: [118, 50] from Operation: 40+10=50
Current State: 68:[118, 50], Operations: ['19+99=118', '40+10=50']
Exploring Operation: 118-50=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
12,
4,
7,
55
] | 49 | [
"12*4=48",
"55-48=7",
"7*7=49"
] | Current State: 49:[12, 4, 7, 55], Operations: []
Exploring Operation: 12*4=48, Resulting Numbers: [7, 55, 48]
Generated Node #2: [7, 55, 48] from Operation: 12*4=48
Current State: 49:[7, 55, 48], Operations: ['12*4=48']
Exploring Operation: 55-48=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 55-48=7
Current State: 49:[7, 7], Operations: ['12*4=48', '55-48=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
15,
81,
78,
26
] | 76 | [
"15*26=390",
"390/78=5",
"81-5=76"
] | Current State: 76:[15, 81, 78, 26], Operations: []
Exploring Operation: 15*26=390, Resulting Numbers: [81, 78, 390]
Generated Node #2: [81, 78, 390] from Operation: 15*26=390
Current State: 76:[81, 78, 390], Operations: ['15*26=390']
Exploring Operation: 390/78=5, Resulting Numbers: [81, 5]
Generated Node #3: [81, 5] from Operation: 390/78=5
Current State: 76:[81, 5], Operations: ['15*26=390', '390/78=5']
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
68,
56,
62,
75
] | 25 | [
"68-56=12",
"75-62=13",
"12+13=25"
] | Current State: 25:[68, 56, 62, 75], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [62, 75, 12]
Generated Node #2: [62, 75, 12] from Operation: 68-56=12
Current State: 25:[62, 75, 12], Operations: ['68-56=12']
Exploring Operation: 75-62=13, Resulting Numbers: [12, 13]
Generated Node #3: [12, 13] from Operation: 75-62=13
Current State: 25:[12, 13], Operations: ['68-56=12', '75-62=13']
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
86,
8,
39,
72
] | 73 | [
"86-72=14",
"8*14=112",
"112-39=73"
] | Current State: 73:[86, 8, 39, 72], Operations: []
Exploring Operation: 86-72=14, Resulting Numbers: [8, 39, 14]
Generated Node #2: [8, 39, 14] from Operation: 86-72=14
Current State: 73:[8, 39, 14], Operations: ['86-72=14']
Exploring Operation: 8*14=112, Resulting Numbers: [39, 112]
Generated Node #3: [39, 112] from Operation: 8*14=112
Current State: 73:[39, 112], Operations: ['86-72=14', '8*14=112']
Exploring Operation: 112-39=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
32,
17,
18,
16
] | 50 | [
"32+18=50",
"17-16=1",
"50*1=50"
] | Current State: 50:[32, 17, 18, 16], Operations: []
Exploring Operation: 32+18=50, Resulting Numbers: [17, 16, 50]
Generated Node #2: [17, 16, 50] from Operation: 32+18=50
Current State: 50:[17, 16, 50], Operations: ['32+18=50']
Exploring Operation: 17-16=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 17-16=1
Current State: 50:[50, 1], Operations: ['32+18=50', '17-16=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
47,
44,
38,
43
] | 27 | [
"47-44=3",
"38+43=81",
"81/3=27"
] | Current State: 27:[47, 44, 38, 43], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [38, 43, 3]
Generated Node #2: [38, 43, 3] from Operation: 47-44=3
Current State: 27:[38, 43, 3], Operations: ['47-44=3']
Exploring Operation: 38+43=81, Resulting Numbers: [3, 81]
Generated Node #3: [3, 81] from Operation: 38+43=81
Current State: 27:[3, 81], Operations: ['47-44=3', '38+43=81']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
27,
97,
65,
86
] | 92 | [
"97+65=162",
"162/27=6",
"86+6=92"
] | Current State: 92:[27, 97, 65, 86], Operations: []
Exploring Operation: 97+65=162, Resulting Numbers: [27, 86, 162]
Generated Node #2: [27, 86, 162] from Operation: 97+65=162
Current State: 92:[27, 86, 162], Operations: ['97+65=162']
Exploring Operation: 162/27=6, Resulting Numbers: [86, 6]
Generated Node #3: [86, 6] from Operation: 162/27=6
Current State: 92:[86, 6], Operations: ['97+65=162', '162/27=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
54,
69,
53,
73
] | 35 | [
"69-54=15",
"73-53=20",
"15+20=35"
] | Current State: 35:[54, 69, 53, 73], Operations: []
Exploring Operation: 69-54=15, Resulting Numbers: [53, 73, 15]
Generated Node #2: [53, 73, 15] from Operation: 69-54=15
Current State: 35:[53, 73, 15], Operations: ['69-54=15']
Exploring Operation: 73-53=20, Resulting Numbers: [15, 20]
Generated Node #3: [15, 20] from Operation: 73-53=20
Current State: 35:[15, 20], Operations: ['69-54=15', '73-53=20']
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
34,
6,
24,
2
] | 10 | [
"34-6=28",
"28/2=14",
"24-14=10"
] | Current State: 10:[34, 6, 24, 2], Operations: []
Exploring Operation: 34-6=28, Resulting Numbers: [24, 2, 28]
Generated Node #2: [24, 2, 28] from Operation: 34-6=28
Current State: 10:[24, 2, 28], Operations: ['34-6=28']
Exploring Operation: 28/2=14, Resulting Numbers: [24, 14]
Generated Node #3: [24, 14] from Operation: 28/2=14
Current State: 10:[24, 14], Operations: ['34-6=28', '28/2=14']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
24,
52,
47,
19
] | 56 | [
"52-24=28",
"47-19=28",
"28+28=56"
] | Current State: 56:[24, 52, 47, 19], Operations: []
Exploring Operation: 52-24=28, Resulting Numbers: [47, 19, 28]
Generated Node #2: [47, 19, 28] from Operation: 52-24=28
Current State: 56:[47, 19, 28], Operations: ['52-24=28']
Exploring Operation: 47-19=28, Resulting Numbers: [28, 28]
Generated Node #3: [28, 28] from Operation: 47-19=28
Current State: 56:[28, 28], Operations: ['52-24=28', '47-19=28']
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
1,
32,
4,
84
] | 43 | [
"1+84=85",
"32*4=128",
"128-85=43"
] | Current State: 43:[1, 32, 4, 84], Operations: []
Exploring Operation: 1+84=85, Resulting Numbers: [32, 4, 85]
Generated Node #2: [32, 4, 85] from Operation: 1+84=85
Current State: 43:[32, 4, 85], Operations: ['1+84=85']
Exploring Operation: 32*4=128, Resulting Numbers: [85, 128]
Generated Node #3: [85, 128] from Operation: 32*4=128
Current State: 43:[85, 128], Operations: ['1+84=85', '32*4=128']
Exploring Operation: 128-85=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
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