nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
79,
14,
60,
94
] | 20 | [
"79*14=1106",
"94+1106=1200",
"1200/60=20"
] | Current State: 20:[79, 14, 60, 94], Operations: []
Exploring Operation: 79*14=1106, Resulting Numbers: [60, 94, 1106]
Generated Node #2: [60, 94, 1106] from Operation: 79*14=1106
Current State: 20:[60, 94, 1106], Operations: ['79*14=1106']
Exploring Operation: 94+1106=1200, Resulting Numbers: [60, 1200]
Generated Node #3: [60, 1200] from Operation: 94+1106=1200
Current State: 20:[60, 1200], Operations: ['79*14=1106', '94+1106=1200']
Exploring Operation: 1200/60=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
76,
42,
54,
60
] | 40 | [
"76-42=34",
"60-54=6",
"34+6=40"
] | Current State: 40:[76, 42, 54, 60], Operations: []
Exploring Operation: 76-42=34, Resulting Numbers: [54, 60, 34]
Generated Node #2: [54, 60, 34] from Operation: 76-42=34
Current State: 40:[54, 60, 34], Operations: ['76-42=34']
Exploring Operation: 60-54=6, Resulting Numbers: [34, 6]
Generated Node #3: [34, 6] from Operation: 60-54=6
Current State: 40:[34, 6], Operations: ['76-42=34', '60-54=6']
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
87,
93,
48,
73
] | 65 | [
"93-87=6",
"48/6=8",
"73-8=65"
] | Current State: 65:[87, 93, 48, 73], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [48, 73, 6]
Generated Node #2: [48, 73, 6] from Operation: 93-87=6
Current State: 65:[48, 73, 6], Operations: ['93-87=6']
Exploring Operation: 48/6=8, Resulting Numbers: [73, 8]
Generated Node #3: [73, 8] from Operation: 48/6=8
Current State: 65:[73, 8], Operations: ['93-87=6', '48/6=8']
Exploring Operation: 73-8=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
97,
1,
90,
47
] | 55 | [
"97+1=98",
"90-47=43",
"98-43=55"
] | Current State: 55:[97, 1, 90, 47], Operations: []
Exploring Operation: 97+1=98, Resulting Numbers: [90, 47, 98]
Generated Node #2: [90, 47, 98] from Operation: 97+1=98
Current State: 55:[90, 47, 98], Operations: ['97+1=98']
Exploring Operation: 90-47=43, Resulting Numbers: [98, 43]
Generated Node #3: [98, 43] from Operation: 90-47=43
Current State: 55:[98, 43], Operations: ['97+1=98', '90-47=43']
Exploring Operation: 98-43=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
18,
86,
57,
89
] | 13 | [
"57-18=39",
"89-86=3",
"39/3=13"
] | Current State: 13:[18, 86, 57, 89], Operations: []
Exploring Operation: 57-18=39, Resulting Numbers: [86, 89, 39]
Generated Node #2: [86, 89, 39] from Operation: 57-18=39
Current State: 13:[86, 89, 39], Operations: ['57-18=39']
Exploring Operation: 89-86=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 89-86=3
Current State: 13:[39, 3], Operations: ['57-18=39', '89-86=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
62,
51,
61,
52
] | 99 | [
"62-51=11",
"61-52=9",
"11*9=99"
] | Current State: 99:[62, 51, 61, 52], Operations: []
Exploring Operation: 62-51=11, Resulting Numbers: [61, 52, 11]
Generated Node #2: [61, 52, 11] from Operation: 62-51=11
Current State: 99:[61, 52, 11], Operations: ['62-51=11']
Exploring Operation: 61-52=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 61-52=9
Current State: 99:[11, 9], Operations: ['62-51=11', '61-52=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
4,
14,
33,
45
] | 31 | [
"33-14=19",
"4*19=76",
"76-45=31"
] | Current State: 31:[4, 14, 33, 45], Operations: []
Exploring Operation: 33-14=19, Resulting Numbers: [4, 45, 19]
Generated Node #2: [4, 45, 19] from Operation: 33-14=19
Current State: 31:[4, 45, 19], Operations: ['33-14=19']
Exploring Operation: 4*19=76, Resulting Numbers: [45, 76]
Generated Node #3: [45, 76] from Operation: 4*19=76
Current State: 31:[45, 76], Operations: ['33-14=19', '4*19=76']
Exploring Operation: 76-45=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
90,
83,
30,
84
] | 88 | [
"90-84=6",
"30/6=5",
"83+5=88"
] | Current State: 88:[90, 83, 30, 84], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [83, 30, 6]
Generated Node #2: [83, 30, 6] from Operation: 90-84=6
Current State: 88:[83, 30, 6], Operations: ['90-84=6']
Exploring Operation: 30/6=5, Resulting Numbers: [83, 5]
Generated Node #3: [83, 5] from Operation: 30/6=5
Current State: 88:[83, 5], Operations: ['90-84=6', '30/6=5']
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
7,
13,
42,
35
] | 42 | [
"13-7=6",
"42-35=7",
"6*7=42"
] | Current State: 42:[7, 13, 42, 35], Operations: []
Exploring Operation: 13-7=6, Resulting Numbers: [42, 35, 6]
Generated Node #2: [42, 35, 6] from Operation: 13-7=6
Current State: 42:[42, 35, 6], Operations: ['13-7=6']
Exploring Operation: 42-35=7, Resulting Numbers: [6, 7]
Generated Node #3: [6, 7] from Operation: 42-35=7
Current State: 42:[6, 7], Operations: ['13-7=6', '42-35=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
1,
30,
37,
32
] | 39 | [
"1*30=30",
"37+32=69",
"69-30=39"
] | Current State: 39:[1, 30, 37, 32], Operations: []
Exploring Operation: 1*30=30, Resulting Numbers: [37, 32, 30]
Generated Node #2: [37, 32, 30] from Operation: 1*30=30
Current State: 39:[37, 32, 30], Operations: ['1*30=30']
Exploring Operation: 37+32=69, Resulting Numbers: [30, 69]
Generated Node #3: [30, 69] from Operation: 37+32=69
Current State: 39:[30, 69], Operations: ['1*30=30', '37+32=69']
Exploring Operation: 69-30=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
6,
98,
67,
93
] | 67 | [
"98-6=92",
"93-92=1",
"67*1=67"
] | Current State: 67:[6, 98, 67, 93], Operations: []
Exploring Operation: 98-6=92, Resulting Numbers: [67, 93, 92]
Generated Node #2: [67, 93, 92] from Operation: 98-6=92
Current State: 67:[67, 93, 92], Operations: ['98-6=92']
Exploring Operation: 93-92=1, Resulting Numbers: [67, 1]
Generated Node #3: [67, 1] from Operation: 93-92=1
Current State: 67:[67, 1], Operations: ['98-6=92', '93-92=1']
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
1,
93,
32,
98
] | 95 | [
"32-1=31",
"93/31=3",
"98-3=95"
] | Current State: 95:[1, 93, 32, 98], Operations: []
Exploring Operation: 32-1=31, Resulting Numbers: [93, 98, 31]
Generated Node #2: [93, 98, 31] from Operation: 32-1=31
Current State: 95:[93, 98, 31], Operations: ['32-1=31']
Exploring Operation: 93/31=3, Resulting Numbers: [98, 3]
Generated Node #3: [98, 3] from Operation: 93/31=3
Current State: 95:[98, 3], Operations: ['32-1=31', '93/31=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
5,
37,
45,
65
] | 63 | [
"65-45=20",
"5*20=100",
"100-37=63"
] | Current State: 63:[5, 37, 45, 65], Operations: []
Exploring Operation: 65-45=20, Resulting Numbers: [5, 37, 20]
Generated Node #2: [5, 37, 20] from Operation: 65-45=20
Current State: 63:[5, 37, 20], Operations: ['65-45=20']
Exploring Operation: 5*20=100, Resulting Numbers: [37, 100]
Generated Node #3: [37, 100] from Operation: 5*20=100
Current State: 63:[37, 100], Operations: ['65-45=20', '5*20=100']
Exploring Operation: 100-37=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
62,
31,
8,
50
] | 21 | [
"62/31=2",
"50-8=42",
"42/2=21"
] | Current State: 21:[62, 31, 8, 50], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [8, 50, 2]
Generated Node #2: [8, 50, 2] from Operation: 62/31=2
Current State: 21:[8, 50, 2], Operations: ['62/31=2']
Exploring Operation: 50-8=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 50-8=42
Current State: 21:[2, 42], Operations: ['62/31=2', '50-8=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
2,
61,
13,
11
] | 46 | [
"2*13=26",
"61+11=72",
"72-26=46"
] | Current State: 46:[2, 61, 13, 11], Operations: []
Exploring Operation: 2*13=26, Resulting Numbers: [61, 11, 26]
Generated Node #2: [61, 11, 26] from Operation: 2*13=26
Current State: 46:[61, 11, 26], Operations: ['2*13=26']
Exploring Operation: 61+11=72, Resulting Numbers: [26, 72]
Generated Node #3: [26, 72] from Operation: 61+11=72
Current State: 46:[26, 72], Operations: ['2*13=26', '61+11=72']
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
59,
64,
53,
11
] | 16 | [
"59+64=123",
"53+123=176",
"176/11=16"
] | Current State: 16:[59, 64, 53, 11], Operations: []
Exploring Operation: 59+64=123, Resulting Numbers: [53, 11, 123]
Generated Node #2: [53, 11, 123] from Operation: 59+64=123
Current State: 16:[53, 11, 123], Operations: ['59+64=123']
Exploring Operation: 53+123=176, Resulting Numbers: [11, 176]
Generated Node #3: [11, 176] from Operation: 53+123=176
Current State: 16:[11, 176], Operations: ['59+64=123', '53+123=176']
Exploring Operation: 176/11=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
94,
49,
72,
11
] | 85 | [
"94+49=143",
"143/11=13",
"72+13=85"
] | Current State: 85:[94, 49, 72, 11], Operations: []
Exploring Operation: 94+49=143, Resulting Numbers: [72, 11, 143]
Generated Node #2: [72, 11, 143] from Operation: 94+49=143
Current State: 85:[72, 11, 143], Operations: ['94+49=143']
Exploring Operation: 143/11=13, Resulting Numbers: [72, 13]
Generated Node #3: [72, 13] from Operation: 143/11=13
Current State: 85:[72, 13], Operations: ['94+49=143', '143/11=13']
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
15,
84,
5,
44
] | 30 | [
"84-15=69",
"44-5=39",
"69-39=30"
] | Current State: 30:[15, 84, 5, 44], Operations: []
Exploring Operation: 84-15=69, Resulting Numbers: [5, 44, 69]
Generated Node #2: [5, 44, 69] from Operation: 84-15=69
Current State: 30:[5, 44, 69], Operations: ['84-15=69']
Exploring Operation: 44-5=39, Resulting Numbers: [69, 39]
Generated Node #3: [69, 39] from Operation: 44-5=39
Current State: 30:[69, 39], Operations: ['84-15=69', '44-5=39']
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
71,
1,
25,
82
] | 35 | [
"71+1=72",
"25+82=107",
"107-72=35"
] | Current State: 35:[71, 1, 25, 82], Operations: []
Exploring Operation: 71+1=72, Resulting Numbers: [25, 82, 72]
Generated Node #2: [25, 82, 72] from Operation: 71+1=72
Current State: 35:[25, 82, 72], Operations: ['71+1=72']
Exploring Operation: 25+82=107, Resulting Numbers: [72, 107]
Generated Node #3: [72, 107] from Operation: 25+82=107
Current State: 35:[72, 107], Operations: ['71+1=72', '25+82=107']
Exploring Operation: 107-72=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
43,
48,
36,
55
] | 95 | [
"48-43=5",
"55-36=19",
"5*19=95"
] | Current State: 95:[43, 48, 36, 55], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [36, 55, 5]
Generated Node #2: [36, 55, 5] from Operation: 48-43=5
Current State: 95:[36, 55, 5], Operations: ['48-43=5']
Exploring Operation: 55-36=19, Resulting Numbers: [5, 19]
Generated Node #3: [5, 19] from Operation: 55-36=19
Current State: 95:[5, 19], Operations: ['48-43=5', '55-36=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
52,
49,
3,
91
] | 36 | [
"91-52=39",
"39/3=13",
"49-13=36"
] | Current State: 36:[52, 49, 3, 91], Operations: []
Exploring Operation: 91-52=39, Resulting Numbers: [49, 3, 39]
Generated Node #2: [49, 3, 39] from Operation: 91-52=39
Current State: 36:[49, 3, 39], Operations: ['91-52=39']
Exploring Operation: 39/3=13, Resulting Numbers: [49, 13]
Generated Node #3: [49, 13] from Operation: 39/3=13
Current State: 36:[49, 13], Operations: ['91-52=39', '39/3=13']
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
98,
95,
48,
18
] | 69 | [
"98-95=3",
"48+18=66",
"3+66=69"
] | Current State: 69:[98, 95, 48, 18], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [48, 18, 3]
Generated Node #2: [48, 18, 3] from Operation: 98-95=3
Current State: 69:[48, 18, 3], Operations: ['98-95=3']
Exploring Operation: 48+18=66, Resulting Numbers: [3, 66]
Generated Node #3: [3, 66] from Operation: 48+18=66
Current State: 69:[3, 66], Operations: ['98-95=3', '48+18=66']
Exploring Operation: 3+66=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
32,
98,
86,
43
] | 23 | [
"98-32=66",
"86-43=43",
"66-43=23"
] | Current State: 23:[32, 98, 86, 43], Operations: []
Exploring Operation: 98-32=66, Resulting Numbers: [86, 43, 66]
Generated Node #2: [86, 43, 66] from Operation: 98-32=66
Current State: 23:[86, 43, 66], Operations: ['98-32=66']
Exploring Operation: 86-43=43, Resulting Numbers: [66, 43]
Generated Node #3: [66, 43] from Operation: 86-43=43
Current State: 23:[66, 43], Operations: ['98-32=66', '86-43=43']
Exploring Operation: 66-43=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
43,
34,
54,
36
] | 94 | [
"34*54=1836",
"1836/36=51",
"43+51=94"
] | Current State: 94:[43, 34, 54, 36], Operations: []
Exploring Operation: 34*54=1836, Resulting Numbers: [43, 36, 1836]
Generated Node #2: [43, 36, 1836] from Operation: 34*54=1836
Current State: 94:[43, 36, 1836], Operations: ['34*54=1836']
Exploring Operation: 1836/36=51, Resulting Numbers: [43, 51]
Generated Node #3: [43, 51] from Operation: 1836/36=51
Current State: 94:[43, 51], Operations: ['34*54=1836', '1836/36=51']
Exploring Operation: 43+51=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
38,
37,
28,
63
] | 76 | [
"37+28=65",
"65-63=2",
"38*2=76"
] | Current State: 76:[38, 37, 28, 63], Operations: []
Exploring Operation: 37+28=65, Resulting Numbers: [38, 63, 65]
Generated Node #2: [38, 63, 65] from Operation: 37+28=65
Current State: 76:[38, 63, 65], Operations: ['37+28=65']
Exploring Operation: 65-63=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 65-63=2
Current State: 76:[38, 2], Operations: ['37+28=65', '65-63=2']
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
33,
5,
7,
19
] | 31 | [
"19-5=14",
"14/7=2",
"33-2=31"
] | Current State: 31:[33, 5, 7, 19], Operations: []
Exploring Operation: 19-5=14, Resulting Numbers: [33, 7, 14]
Generated Node #2: [33, 7, 14] from Operation: 19-5=14
Current State: 31:[33, 7, 14], Operations: ['19-5=14']
Exploring Operation: 14/7=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 14/7=2
Current State: 31:[33, 2], Operations: ['19-5=14', '14/7=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
90,
45,
97,
53
] | 88 | [
"90/45=2",
"97-53=44",
"2*44=88"
] | Current State: 88:[90, 45, 97, 53], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [97, 53, 2]
Generated Node #2: [97, 53, 2] from Operation: 90/45=2
Current State: 88:[97, 53, 2], Operations: ['90/45=2']
Exploring Operation: 97-53=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 97-53=44
Current State: 88:[2, 44], Operations: ['90/45=2', '97-53=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
85,
23,
94,
30
] | 63 | [
"94-85=9",
"30-23=7",
"9*7=63"
] | Current State: 63:[85, 23, 94, 30], Operations: []
Exploring Operation: 94-85=9, Resulting Numbers: [23, 30, 9]
Generated Node #2: [23, 30, 9] from Operation: 94-85=9
Current State: 63:[23, 30, 9], Operations: ['94-85=9']
Exploring Operation: 30-23=7, Resulting Numbers: [9, 7]
Generated Node #3: [9, 7] from Operation: 30-23=7
Current State: 63:[9, 7], Operations: ['94-85=9', '30-23=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
17,
41,
59,
52
] | 53 | [
"17+41=58",
"59+52=111",
"111-58=53"
] | Current State: 53:[17, 41, 59, 52], Operations: []
Exploring Operation: 17+41=58, Resulting Numbers: [59, 52, 58]
Generated Node #2: [59, 52, 58] from Operation: 17+41=58
Current State: 53:[59, 52, 58], Operations: ['17+41=58']
Exploring Operation: 59+52=111, Resulting Numbers: [58, 111]
Generated Node #3: [58, 111] from Operation: 59+52=111
Current State: 53:[58, 111], Operations: ['17+41=58', '59+52=111']
Exploring Operation: 111-58=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
34,
15,
26,
13
] | 30 | [
"34+26=60",
"15-13=2",
"60/2=30"
] | Current State: 30:[34, 15, 26, 13], Operations: []
Exploring Operation: 34+26=60, Resulting Numbers: [15, 13, 60]
Generated Node #2: [15, 13, 60] from Operation: 34+26=60
Current State: 30:[15, 13, 60], Operations: ['34+26=60']
Exploring Operation: 15-13=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 15-13=2
Current State: 30:[60, 2], Operations: ['34+26=60', '15-13=2']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
56,
6,
18,
2
] | 30 | [
"56-6=50",
"18+2=20",
"50-20=30"
] | Current State: 30:[56, 6, 18, 2], Operations: []
Exploring Operation: 56-6=50, Resulting Numbers: [18, 2, 50]
Generated Node #2: [18, 2, 50] from Operation: 56-6=50
Current State: 30:[18, 2, 50], Operations: ['56-6=50']
Exploring Operation: 18+2=20, Resulting Numbers: [50, 20]
Generated Node #3: [50, 20] from Operation: 18+2=20
Current State: 30:[50, 20], Operations: ['56-6=50', '18+2=20']
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
74,
52,
76,
40
] | 66 | [
"76-74=2",
"52/2=26",
"40+26=66"
] | Current State: 66:[74, 52, 76, 40], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [52, 40, 2]
Generated Node #2: [52, 40, 2] from Operation: 76-74=2
Current State: 66:[52, 40, 2], Operations: ['76-74=2']
Exploring Operation: 52/2=26, Resulting Numbers: [40, 26]
Generated Node #3: [40, 26] from Operation: 52/2=26
Current State: 66:[40, 26], Operations: ['76-74=2', '52/2=26']
Exploring Operation: 40+26=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
54,
63,
36,
30
] | 55 | [
"63+36=99",
"30*99=2970",
"2970/54=55"
] | Current State: 55:[54, 63, 36, 30], Operations: []
Exploring Operation: 63+36=99, Resulting Numbers: [54, 30, 99]
Generated Node #2: [54, 30, 99] from Operation: 63+36=99
Current State: 55:[54, 30, 99], Operations: ['63+36=99']
Exploring Operation: 30*99=2970, Resulting Numbers: [54, 2970]
Generated Node #3: [54, 2970] from Operation: 30*99=2970
Current State: 55:[54, 2970], Operations: ['63+36=99', '30*99=2970']
Exploring Operation: 2970/54=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
13,
50,
88,
42
] | 83 | [
"50-13=37",
"88-42=46",
"37+46=83"
] | Current State: 83:[13, 50, 88, 42], Operations: []
Exploring Operation: 50-13=37, Resulting Numbers: [88, 42, 37]
Generated Node #2: [88, 42, 37] from Operation: 50-13=37
Current State: 83:[88, 42, 37], Operations: ['50-13=37']
Exploring Operation: 88-42=46, Resulting Numbers: [37, 46]
Generated Node #3: [37, 46] from Operation: 88-42=46
Current State: 83:[37, 46], Operations: ['50-13=37', '88-42=46']
Exploring Operation: 37+46=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
43,
11,
71,
29
] | 96 | [
"43+11=54",
"71-29=42",
"54+42=96"
] | Current State: 96:[43, 11, 71, 29], Operations: []
Exploring Operation: 43+11=54, Resulting Numbers: [71, 29, 54]
Generated Node #2: [71, 29, 54] from Operation: 43+11=54
Current State: 96:[71, 29, 54], Operations: ['43+11=54']
Exploring Operation: 71-29=42, Resulting Numbers: [54, 42]
Generated Node #3: [54, 42] from Operation: 71-29=42
Current State: 96:[54, 42], Operations: ['43+11=54', '71-29=42']
Exploring Operation: 54+42=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
1,
37,
20,
29
] | 27 | [
"37-1=36",
"29-20=9",
"36-9=27"
] | Current State: 27:[1, 37, 20, 29], Operations: []
Exploring Operation: 37-1=36, Resulting Numbers: [20, 29, 36]
Generated Node #2: [20, 29, 36] from Operation: 37-1=36
Current State: 27:[20, 29, 36], Operations: ['37-1=36']
Exploring Operation: 29-20=9, Resulting Numbers: [36, 9]
Generated Node #3: [36, 9] from Operation: 29-20=9
Current State: 27:[36, 9], Operations: ['37-1=36', '29-20=9']
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
13,
18,
25,
77
] | 47 | [
"18-13=5",
"77-25=52",
"52-5=47"
] | Current State: 47:[13, 18, 25, 77], Operations: []
Exploring Operation: 18-13=5, Resulting Numbers: [25, 77, 5]
Generated Node #2: [25, 77, 5] from Operation: 18-13=5
Current State: 47:[25, 77, 5], Operations: ['18-13=5']
Exploring Operation: 77-25=52, Resulting Numbers: [5, 52]
Generated Node #3: [5, 52] from Operation: 77-25=52
Current State: 47:[5, 52], Operations: ['18-13=5', '77-25=52']
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
8,
70,
44,
43
] | 77 | [
"8+70=78",
"44-43=1",
"78-1=77"
] | Current State: 77:[8, 70, 44, 43], Operations: []
Exploring Operation: 8+70=78, Resulting Numbers: [44, 43, 78]
Generated Node #2: [44, 43, 78] from Operation: 8+70=78
Current State: 77:[44, 43, 78], Operations: ['8+70=78']
Exploring Operation: 44-43=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 44-43=1
Current State: 77:[78, 1], Operations: ['8+70=78', '44-43=1']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
49,
30,
59,
81
] | 27 | [
"59-49=10",
"30/10=3",
"81/3=27"
] | Current State: 27:[49, 30, 59, 81], Operations: []
Exploring Operation: 59-49=10, Resulting Numbers: [30, 81, 10]
Generated Node #2: [30, 81, 10] from Operation: 59-49=10
Current State: 27:[30, 81, 10], Operations: ['59-49=10']
Exploring Operation: 30/10=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 30/10=3
Current State: 27:[81, 3], Operations: ['59-49=10', '30/10=3']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
53,
67,
6,
85
] | 29 | [
"53+67=120",
"6+85=91",
"120-91=29"
] | Current State: 29:[53, 67, 6, 85], Operations: []
Exploring Operation: 53+67=120, Resulting Numbers: [6, 85, 120]
Generated Node #2: [6, 85, 120] from Operation: 53+67=120
Current State: 29:[6, 85, 120], Operations: ['53+67=120']
Exploring Operation: 6+85=91, Resulting Numbers: [120, 91]
Generated Node #3: [120, 91] from Operation: 6+85=91
Current State: 29:[120, 91], Operations: ['53+67=120', '6+85=91']
Exploring Operation: 120-91=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
74,
40,
3,
2
] | 34 | [
"74-40=34",
"3-2=1",
"34*1=34"
] | Current State: 34:[74, 40, 3, 2], Operations: []
Exploring Operation: 74-40=34, Resulting Numbers: [3, 2, 34]
Generated Node #2: [3, 2, 34] from Operation: 74-40=34
Current State: 34:[3, 2, 34], Operations: ['74-40=34']
Exploring Operation: 3-2=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 3-2=1
Current State: 34:[34, 1], Operations: ['74-40=34', '3-2=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
51,
26,
30,
25
] | 30 | [
"51-26=25",
"30+25=55",
"55-25=30"
] | Current State: 30:[51, 26, 30, 25], Operations: []
Exploring Operation: 51-26=25, Resulting Numbers: [30, 25, 25]
Generated Node #2: [30, 25, 25] from Operation: 51-26=25
Current State: 30:[30, 25, 25], Operations: ['51-26=25']
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,30 equal: Goal Reached
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
48,
72,
42,
22
] | 30 | [
"42-22=20",
"72*20=1440",
"1440/48=30"
] | Current State: 30:[48, 72, 42, 22], Operations: []
Exploring Operation: 42-22=20, Resulting Numbers: [48, 72, 20]
Generated Node #2: [48, 72, 20] from Operation: 42-22=20
Current State: 30:[48, 72, 20], Operations: ['42-22=20']
Exploring Operation: 72*20=1440, Resulting Numbers: [48, 1440]
Generated Node #3: [48, 1440] from Operation: 72*20=1440
Current State: 30:[48, 1440], Operations: ['42-22=20', '72*20=1440']
Exploring Operation: 1440/48=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
70,
28,
5,
61
] | 98 | [
"70-28=42",
"61-5=56",
"42+56=98"
] | Current State: 98:[70, 28, 5, 61], Operations: []
Exploring Operation: 70-28=42, Resulting Numbers: [5, 61, 42]
Generated Node #2: [5, 61, 42] from Operation: 70-28=42
Current State: 98:[5, 61, 42], Operations: ['70-28=42']
Exploring Operation: 61-5=56, Resulting Numbers: [42, 56]
Generated Node #3: [42, 56] from Operation: 61-5=56
Current State: 98:[42, 56], Operations: ['70-28=42', '61-5=56']
Exploring Operation: 42+56=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
27,
26,
80,
9
] | 72 | [
"27-26=1",
"80-9=71",
"1+71=72"
] | Current State: 72:[27, 26, 80, 9], Operations: []
Exploring Operation: 27-26=1, Resulting Numbers: [80, 9, 1]
Generated Node #2: [80, 9, 1] from Operation: 27-26=1
Current State: 72:[80, 9, 1], Operations: ['27-26=1']
Exploring Operation: 80-9=71, Resulting Numbers: [1, 71]
Generated Node #3: [1, 71] from Operation: 80-9=71
Current State: 72:[1, 71], Operations: ['27-26=1', '80-9=71']
Exploring Operation: 1+71=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
11,
40,
52,
92
] | 64 | [
"40+92=132",
"132/11=12",
"52+12=64"
] | Current State: 64:[11, 40, 52, 92], Operations: []
Exploring Operation: 40+92=132, Resulting Numbers: [11, 52, 132]
Generated Node #2: [11, 52, 132] from Operation: 40+92=132
Current State: 64:[11, 52, 132], Operations: ['40+92=132']
Exploring Operation: 132/11=12, Resulting Numbers: [52, 12]
Generated Node #3: [52, 12] from Operation: 132/11=12
Current State: 64:[52, 12], Operations: ['40+92=132', '132/11=12']
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
95,
62,
25,
5
] | 86 | [
"95+25=120",
"120/5=24",
"62+24=86"
] | Current State: 86:[95, 62, 25, 5], Operations: []
Exploring Operation: 95+25=120, Resulting Numbers: [62, 5, 120]
Generated Node #2: [62, 5, 120] from Operation: 95+25=120
Current State: 86:[62, 5, 120], Operations: ['95+25=120']
Exploring Operation: 120/5=24, Resulting Numbers: [62, 24]
Generated Node #3: [62, 24] from Operation: 120/5=24
Current State: 86:[62, 24], Operations: ['95+25=120', '120/5=24']
Exploring Operation: 62+24=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
32,
2,
52,
32
] | 54 | [
"32+2=34",
"52-32=20",
"34+20=54"
] | Current State: 54:[32, 2, 52, 32], Operations: []
Exploring Operation: 32+2=34, Resulting Numbers: [52, 34]
Generated Node #2: [52, 34] from Operation: 32+2=34
Current State: 54:[52, 34], Operations: ['32+2=34']
Exploring Operation: 52-32=20, Resulting Numbers: [34, 20]
Generated Node #3: [34, 20] from Operation: 52-32=20
Current State: 54:[34, 20], Operations: ['32+2=34', '52-32=20']
Exploring Operation: 34+20=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
68,
82,
52,
14
] | 24 | [
"82-68=14",
"52-14=38",
"38-14=24"
] | Current State: 24:[68, 82, 52, 14], Operations: []
Exploring Operation: 82-68=14, Resulting Numbers: [52, 14, 14]
Generated Node #2: [52, 14, 14] from Operation: 82-68=14
Current State: 24:[52, 14, 14], Operations: ['82-68=14']
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,24 equal: Goal Reached
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
89,
23,
12,
12
] | 88 | [
"89+23=112",
"12+12=24",
"112-24=88"
] | Current State: 88:[89, 23, 12, 12], Operations: []
Exploring Operation: 89+23=112, Resulting Numbers: [12, 12, 112]
Generated Node #2: [12, 12, 112] from Operation: 89+23=112
Current State: 88:[12, 12, 112], Operations: ['89+23=112']
Exploring Operation: 12+12=24, Resulting Numbers: [112, 24]
Generated Node #3: [112, 24] from Operation: 12+12=24
Current State: 88:[112, 24], Operations: ['89+23=112', '12+12=24']
Exploring Operation: 112-24=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
36,
45,
41,
2
] | 68 | [
"36*2=72",
"45-41=4",
"72-4=68"
] | Current State: 68:[36, 45, 41, 2], Operations: []
Exploring Operation: 36*2=72, Resulting Numbers: [45, 41, 72]
Generated Node #2: [45, 41, 72] from Operation: 36*2=72
Current State: 68:[45, 41, 72], Operations: ['36*2=72']
Exploring Operation: 45-41=4, Resulting Numbers: [72, 4]
Generated Node #3: [72, 4] from Operation: 45-41=4
Current State: 68:[72, 4], Operations: ['36*2=72', '45-41=4']
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
50,
3,
43,
33
] | 77 | [
"50-43=7",
"33/3=11",
"7*11=77"
] | Current State: 77:[50, 3, 43, 33], Operations: []
Exploring Operation: 50-43=7, Resulting Numbers: [3, 33, 7]
Generated Node #2: [3, 33, 7] from Operation: 50-43=7
Current State: 77:[3, 33, 7], Operations: ['50-43=7']
Exploring Operation: 33/3=11, Resulting Numbers: [7, 11]
Generated Node #3: [7, 11] from Operation: 33/3=11
Current State: 77:[7, 11], Operations: ['50-43=7', '33/3=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
5,
26,
19,
47
] | 49 | [
"26-5=21",
"47-19=28",
"21+28=49"
] | Current State: 49:[5, 26, 19, 47], Operations: []
Exploring Operation: 26-5=21, Resulting Numbers: [19, 47, 21]
Generated Node #2: [19, 47, 21] from Operation: 26-5=21
Current State: 49:[19, 47, 21], Operations: ['26-5=21']
Exploring Operation: 47-19=28, Resulting Numbers: [21, 28]
Generated Node #3: [21, 28] from Operation: 47-19=28
Current State: 49:[21, 28], Operations: ['26-5=21', '47-19=28']
Exploring Operation: 21+28=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
24,
24,
24,
51
] | 52 | [
"24*51=1224",
"24+1224=1248",
"1248/24=52"
] | Current State: 52:[24, 24, 24, 51], Operations: []
Exploring Operation: 24*51=1224, Resulting Numbers: [1224]
1224,52 equal: Goal Reached
Exploring Operation: 24+1224=1248, Resulting Numbers: [1248]
1248,52 equal: Goal Reached
Exploring Operation: 1248/24=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
42,
84,
77,
7
] | 83 | [
"84-42=42",
"42/7=6",
"77+6=83"
] | Current State: 83:[42, 84, 77, 7], Operations: []
Exploring Operation: 84-42=42, Resulting Numbers: [77, 7, 42]
Generated Node #2: [77, 7, 42] from Operation: 84-42=42
Current State: 83:[77, 7, 42], Operations: ['84-42=42']
Exploring Operation: 42/7=6, Resulting Numbers: [77, 6]
Generated Node #3: [77, 6] from Operation: 42/7=6
Current State: 83:[77, 6], Operations: ['84-42=42', '42/7=6']
Exploring Operation: 77+6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
70,
19,
4,
31
] | 86 | [
"70-19=51",
"4+31=35",
"51+35=86"
] | Current State: 86:[70, 19, 4, 31], Operations: []
Exploring Operation: 70-19=51, Resulting Numbers: [4, 31, 51]
Generated Node #2: [4, 31, 51] from Operation: 70-19=51
Current State: 86:[4, 31, 51], Operations: ['70-19=51']
Exploring Operation: 4+31=35, Resulting Numbers: [51, 35]
Generated Node #3: [51, 35] from Operation: 4+31=35
Current State: 86:[51, 35], Operations: ['70-19=51', '4+31=35']
Exploring Operation: 51+35=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
36,
22,
96,
78
] | 21 | [
"78-22=56",
"36*56=2016",
"2016/96=21"
] | Current State: 21:[36, 22, 96, 78], Operations: []
Exploring Operation: 78-22=56, Resulting Numbers: [36, 96, 56]
Generated Node #2: [36, 96, 56] from Operation: 78-22=56
Current State: 21:[36, 96, 56], Operations: ['78-22=56']
Exploring Operation: 36*56=2016, Resulting Numbers: [96, 2016]
Generated Node #3: [96, 2016] from Operation: 36*56=2016
Current State: 21:[96, 2016], Operations: ['78-22=56', '36*56=2016']
Exploring Operation: 2016/96=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
14,
28,
92,
34
] | 80 | [
"28/14=2",
"92/2=46",
"34+46=80"
] | Current State: 80:[14, 28, 92, 34], Operations: []
Exploring Operation: 28/14=2, Resulting Numbers: [92, 34, 2]
Generated Node #2: [92, 34, 2] from Operation: 28/14=2
Current State: 80:[92, 34, 2], Operations: ['28/14=2']
Exploring Operation: 92/2=46, Resulting Numbers: [34, 46]
Generated Node #3: [34, 46] from Operation: 92/2=46
Current State: 80:[34, 46], Operations: ['28/14=2', '92/2=46']
Exploring Operation: 34+46=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
54,
84,
66,
1
] | 97 | [
"84-54=30",
"66+1=67",
"30+67=97"
] | Current State: 97:[54, 84, 66, 1], Operations: []
Exploring Operation: 84-54=30, Resulting Numbers: [66, 1, 30]
Generated Node #2: [66, 1, 30] from Operation: 84-54=30
Current State: 97:[66, 1, 30], Operations: ['84-54=30']
Exploring Operation: 66+1=67, Resulting Numbers: [30, 67]
Generated Node #3: [30, 67] from Operation: 66+1=67
Current State: 97:[30, 67], Operations: ['84-54=30', '66+1=67']
Exploring Operation: 30+67=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
21,
90,
80,
90
] | 59 | [
"21+90=111",
"80+90=170",
"170-111=59"
] | Current State: 59:[21, 90, 80, 90], Operations: []
Exploring Operation: 21+90=111, Resulting Numbers: [80, 111]
Generated Node #2: [80, 111] from Operation: 21+90=111
Current State: 59:[80, 111], Operations: ['21+90=111']
Exploring Operation: 80+90=170, Resulting Numbers: [111, 170]
Generated Node #3: [111, 170] from Operation: 80+90=170
Current State: 59:[111, 170], Operations: ['21+90=111', '80+90=170']
Exploring Operation: 170-111=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
16,
42,
98,
28
] | 76 | [
"16+98=114",
"28*114=3192",
"3192/42=76"
] | Current State: 76:[16, 42, 98, 28], Operations: []
Exploring Operation: 16+98=114, Resulting Numbers: [42, 28, 114]
Generated Node #2: [42, 28, 114] from Operation: 16+98=114
Current State: 76:[42, 28, 114], Operations: ['16+98=114']
Exploring Operation: 28*114=3192, Resulting Numbers: [42, 3192]
Generated Node #3: [42, 3192] from Operation: 28*114=3192
Current State: 76:[42, 3192], Operations: ['16+98=114', '28*114=3192']
Exploring Operation: 3192/42=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
76,
97,
2,
8
] | 63 | [
"76*2=152",
"97-8=89",
"152-89=63"
] | Current State: 63:[76, 97, 2, 8], Operations: []
Exploring Operation: 76*2=152, Resulting Numbers: [97, 8, 152]
Generated Node #2: [97, 8, 152] from Operation: 76*2=152
Current State: 63:[97, 8, 152], Operations: ['76*2=152']
Exploring Operation: 97-8=89, Resulting Numbers: [152, 89]
Generated Node #3: [152, 89] from Operation: 97-8=89
Current State: 63:[152, 89], Operations: ['76*2=152', '97-8=89']
Exploring Operation: 152-89=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
6,
4,
66,
95
] | 88 | [
"66/6=11",
"4+95=99",
"99-11=88"
] | Current State: 88:[6, 4, 66, 95], Operations: []
Exploring Operation: 66/6=11, Resulting Numbers: [4, 95, 11]
Generated Node #2: [4, 95, 11] from Operation: 66/6=11
Current State: 88:[4, 95, 11], Operations: ['66/6=11']
Exploring Operation: 4+95=99, Resulting Numbers: [11, 99]
Generated Node #3: [11, 99] from Operation: 4+95=99
Current State: 88:[11, 99], Operations: ['66/6=11', '4+95=99']
Exploring Operation: 99-11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
80,
60,
10,
6
] | 65 | [
"10+6=16",
"80/16=5",
"60+5=65"
] | Current State: 65:[80, 60, 10, 6], Operations: []
Exploring Operation: 10+6=16, Resulting Numbers: [80, 60, 16]
Generated Node #2: [80, 60, 16] from Operation: 10+6=16
Current State: 65:[80, 60, 16], Operations: ['10+6=16']
Exploring Operation: 80/16=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 80/16=5
Current State: 65:[60, 5], Operations: ['10+6=16', '80/16=5']
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
50,
33,
33,
15
] | 35 | [
"50+33=83",
"33+15=48",
"83-48=35"
] | Current State: 35:[50, 33, 33, 15], Operations: []
Exploring Operation: 50+33=83, Resulting Numbers: [15, 83]
Generated Node #2: [15, 83] from Operation: 50+33=83
Current State: 35:[15, 83], Operations: ['50+33=83']
Exploring Operation: 33+15=48, Resulting Numbers: [83, 48]
Generated Node #3: [83, 48] from Operation: 33+15=48
Current State: 35:[83, 48], Operations: ['50+33=83', '33+15=48']
Exploring Operation: 83-48=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
59,
27,
44,
28
] | 14 | [
"59+27=86",
"44+28=72",
"86-72=14"
] | Current State: 14:[59, 27, 44, 28], Operations: []
Exploring Operation: 59+27=86, Resulting Numbers: [44, 28, 86]
Generated Node #2: [44, 28, 86] from Operation: 59+27=86
Current State: 14:[44, 28, 86], Operations: ['59+27=86']
Exploring Operation: 44+28=72, Resulting Numbers: [86, 72]
Generated Node #3: [86, 72] from Operation: 44+28=72
Current State: 14:[86, 72], Operations: ['59+27=86', '44+28=72']
Exploring Operation: 86-72=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
11,
88,
15,
13
] | 44 | [
"11+15=26",
"88*13=1144",
"1144/26=44"
] | Current State: 44:[11, 88, 15, 13], Operations: []
Exploring Operation: 11+15=26, Resulting Numbers: [88, 13, 26]
Generated Node #2: [88, 13, 26] from Operation: 11+15=26
Current State: 44:[88, 13, 26], Operations: ['11+15=26']
Exploring Operation: 88*13=1144, Resulting Numbers: [26, 1144]
Generated Node #3: [26, 1144] from Operation: 88*13=1144
Current State: 44:[26, 1144], Operations: ['11+15=26', '88*13=1144']
Exploring Operation: 1144/26=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
46,
2,
80,
41
] | 45 | [
"46-41=5",
"80/2=40",
"5+40=45"
] | Current State: 45:[46, 2, 80, 41], Operations: []
Exploring Operation: 46-41=5, Resulting Numbers: [2, 80, 5]
Generated Node #2: [2, 80, 5] from Operation: 46-41=5
Current State: 45:[2, 80, 5], Operations: ['46-41=5']
Exploring Operation: 80/2=40, Resulting Numbers: [5, 40]
Generated Node #3: [5, 40] from Operation: 80/2=40
Current State: 45:[5, 40], Operations: ['46-41=5', '80/2=40']
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
14,
55,
9,
52
] | 63 | [
"14-9=5",
"55/5=11",
"52+11=63"
] | Current State: 63:[14, 55, 9, 52], Operations: []
Exploring Operation: 14-9=5, Resulting Numbers: [55, 52, 5]
Generated Node #2: [55, 52, 5] from Operation: 14-9=5
Current State: 63:[55, 52, 5], Operations: ['14-9=5']
Exploring Operation: 55/5=11, Resulting Numbers: [52, 11]
Generated Node #3: [52, 11] from Operation: 55/5=11
Current State: 63:[52, 11], Operations: ['14-9=5', '55/5=11']
Exploring Operation: 52+11=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
80,
47,
96,
86
] | 63 | [
"86-80=6",
"96/6=16",
"47+16=63"
] | Current State: 63:[80, 47, 96, 86], Operations: []
Exploring Operation: 86-80=6, Resulting Numbers: [47, 96, 6]
Generated Node #2: [47, 96, 6] from Operation: 86-80=6
Current State: 63:[47, 96, 6], Operations: ['86-80=6']
Exploring Operation: 96/6=16, Resulting Numbers: [47, 16]
Generated Node #3: [47, 16] from Operation: 96/6=16
Current State: 63:[47, 16], Operations: ['86-80=6', '96/6=16']
Exploring Operation: 47+16=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
19,
3,
7,
45
] | 95 | [
"19*3=57",
"45-7=38",
"57+38=95"
] | Current State: 95:[19, 3, 7, 45], Operations: []
Exploring Operation: 19*3=57, Resulting Numbers: [7, 45, 57]
Generated Node #2: [7, 45, 57] from Operation: 19*3=57
Current State: 95:[7, 45, 57], Operations: ['19*3=57']
Exploring Operation: 45-7=38, Resulting Numbers: [57, 38]
Generated Node #3: [57, 38] from Operation: 45-7=38
Current State: 95:[57, 38], Operations: ['19*3=57', '45-7=38']
Exploring Operation: 57+38=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
91,
34,
24,
37
] | 19 | [
"37-34=3",
"24*3=72",
"91-72=19"
] | Current State: 19:[91, 34, 24, 37], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [91, 24, 3]
Generated Node #2: [91, 24, 3] from Operation: 37-34=3
Current State: 19:[91, 24, 3], Operations: ['37-34=3']
Exploring Operation: 24*3=72, Resulting Numbers: [91, 72]
Generated Node #3: [91, 72] from Operation: 24*3=72
Current State: 19:[91, 72], Operations: ['37-34=3', '24*3=72']
Exploring Operation: 91-72=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
13,
59,
35,
12
] | 33 | [
"13*35=455",
"455-59=396",
"396/12=33"
] | Current State: 33:[13, 59, 35, 12], Operations: []
Exploring Operation: 13*35=455, Resulting Numbers: [59, 12, 455]
Generated Node #2: [59, 12, 455] from Operation: 13*35=455
Current State: 33:[59, 12, 455], Operations: ['13*35=455']
Exploring Operation: 455-59=396, Resulting Numbers: [12, 396]
Generated Node #3: [12, 396] from Operation: 455-59=396
Current State: 33:[12, 396], Operations: ['13*35=455', '455-59=396']
Exploring Operation: 396/12=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
83,
23,
40,
19
] | 40 | [
"83*19=1577",
"23+1577=1600",
"1600/40=40"
] | Current State: 40:[83, 23, 40, 19], Operations: []
Exploring Operation: 83*19=1577, Resulting Numbers: [23, 40, 1577]
Generated Node #2: [23, 40, 1577] from Operation: 83*19=1577
Current State: 40:[23, 40, 1577], Operations: ['83*19=1577']
Exploring Operation: 23+1577=1600, Resulting Numbers: [40, 1600]
Generated Node #3: [40, 1600] from Operation: 23+1577=1600
Current State: 40:[40, 1600], Operations: ['83*19=1577', '23+1577=1600']
Exploring Operation: 1600/40=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
22,
8,
37,
8
] | 60 | [
"22+37=59",
"8/8=1",
"59+1=60"
] | Current State: 60:[22, 8, 37, 8], Operations: []
Exploring Operation: 22+37=59, Resulting Numbers: [8, 8, 59]
Generated Node #2: [8, 8, 59] from Operation: 22+37=59
Current State: 60:[8, 8, 59], Operations: ['22+37=59']
Exploring Operation: 8/8=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 8/8=1
Current State: 60:[59, 1], Operations: ['22+37=59', '8/8=1']
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
6,
6,
65,
41
] | 10 | [
"65-41=24",
"24/6=4",
"6+4=10"
] | Current State: 10:[6, 6, 65, 41], Operations: []
Exploring Operation: 65-41=24, Resulting Numbers: [6, 6, 24]
Generated Node #2: [6, 6, 24] from Operation: 65-41=24
Current State: 10:[6, 6, 24], Operations: ['65-41=24']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,10 equal: Goal Reached
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
69,
60,
70,
42
] | 17 | [
"69+60=129",
"70+42=112",
"129-112=17"
] | Current State: 17:[69, 60, 70, 42], Operations: []
Exploring Operation: 69+60=129, Resulting Numbers: [70, 42, 129]
Generated Node #2: [70, 42, 129] from Operation: 69+60=129
Current State: 17:[70, 42, 129], Operations: ['69+60=129']
Exploring Operation: 70+42=112, Resulting Numbers: [129, 112]
Generated Node #3: [129, 112] from Operation: 70+42=112
Current State: 17:[129, 112], Operations: ['69+60=129', '70+42=112']
Exploring Operation: 129-112=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
93,
9,
56,
47
] | 93 | [
"93+9=102",
"56-47=9",
"102-9=93"
] | Current State: 93:[93, 9, 56, 47], Operations: []
Exploring Operation: 93+9=102, Resulting Numbers: [56, 47, 102]
Generated Node #2: [56, 47, 102] from Operation: 93+9=102
Current State: 93:[56, 47, 102], Operations: ['93+9=102']
Exploring Operation: 56-47=9, Resulting Numbers: [102, 9]
Generated Node #3: [102, 9] from Operation: 56-47=9
Current State: 93:[102, 9], Operations: ['93+9=102', '56-47=9']
Exploring Operation: 102-9=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
85,
33,
41,
14
] | 38 | [
"85+14=99",
"99/33=3",
"41-3=38"
] | Current State: 38:[85, 33, 41, 14], Operations: []
Exploring Operation: 85+14=99, Resulting Numbers: [33, 41, 99]
Generated Node #2: [33, 41, 99] from Operation: 85+14=99
Current State: 38:[33, 41, 99], Operations: ['85+14=99']
Exploring Operation: 99/33=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 99/33=3
Current State: 38:[41, 3], Operations: ['85+14=99', '99/33=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
62,
12,
5,
63
] | 16 | [
"62+12=74",
"63-5=58",
"74-58=16"
] | Current State: 16:[62, 12, 5, 63], Operations: []
Exploring Operation: 62+12=74, Resulting Numbers: [5, 63, 74]
Generated Node #2: [5, 63, 74] from Operation: 62+12=74
Current State: 16:[5, 63, 74], Operations: ['62+12=74']
Exploring Operation: 63-5=58, Resulting Numbers: [74, 58]
Generated Node #3: [74, 58] from Operation: 63-5=58
Current State: 16:[74, 58], Operations: ['62+12=74', '63-5=58']
Exploring Operation: 74-58=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
2,
87,
21,
29
] | 69 | [
"2+21=23",
"87/29=3",
"23*3=69"
] | Current State: 69:[2, 87, 21, 29], Operations: []
Exploring Operation: 2+21=23, Resulting Numbers: [87, 29, 23]
Generated Node #2: [87, 29, 23] from Operation: 2+21=23
Current State: 69:[87, 29, 23], Operations: ['2+21=23']
Exploring Operation: 87/29=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 87/29=3
Current State: 69:[23, 3], Operations: ['2+21=23', '87/29=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
76,
90,
83,
85
] | 63 | [
"85-76=9",
"90-83=7",
"9*7=63"
] | Current State: 63:[76, 90, 83, 85], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [90, 83, 9]
Generated Node #2: [90, 83, 9] from Operation: 85-76=9
Current State: 63:[90, 83, 9], Operations: ['85-76=9']
Exploring Operation: 90-83=7, Resulting Numbers: [9, 7]
Generated Node #3: [9, 7] from Operation: 90-83=7
Current State: 63:[9, 7], Operations: ['85-76=9', '90-83=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
8,
81,
13,
39
] | 35 | [
"81*13=1053",
"1053/39=27",
"8+27=35"
] | Current State: 35:[8, 81, 13, 39], Operations: []
Exploring Operation: 81*13=1053, Resulting Numbers: [8, 39, 1053]
Generated Node #2: [8, 39, 1053] from Operation: 81*13=1053
Current State: 35:[8, 39, 1053], Operations: ['81*13=1053']
Exploring Operation: 1053/39=27, Resulting Numbers: [8, 27]
Generated Node #3: [8, 27] from Operation: 1053/39=27
Current State: 35:[8, 27], Operations: ['81*13=1053', '1053/39=27']
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
20,
4,
16,
55
] | 79 | [
"20+55=75",
"16/4=4",
"75+4=79"
] | Current State: 79:[20, 4, 16, 55], Operations: []
Exploring Operation: 20+55=75, Resulting Numbers: [4, 16, 75]
Generated Node #2: [4, 16, 75] from Operation: 20+55=75
Current State: 79:[4, 16, 75], Operations: ['20+55=75']
Exploring Operation: 16/4=4, Resulting Numbers: [75, 4]
Generated Node #3: [75, 4] from Operation: 16/4=4
Current State: 79:[75, 4], Operations: ['20+55=75', '16/4=4']
Exploring Operation: 75+4=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
18,
39,
33,
33
] | 99 | [
"18*33=594",
"39-33=6",
"594/6=99"
] | Current State: 99:[18, 39, 33, 33], Operations: []
Exploring Operation: 18*33=594, Resulting Numbers: [39, 594]
Generated Node #2: [39, 594] from Operation: 18*33=594
Current State: 99:[39, 594], Operations: ['18*33=594']
Exploring Operation: 39-33=6, Resulting Numbers: [594, 6]
Generated Node #3: [594, 6] from Operation: 39-33=6
Current State: 99:[594, 6], Operations: ['18*33=594', '39-33=6']
Exploring Operation: 594/6=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
3,
91,
5,
79
] | 57 | [
"91-79=12",
"5*12=60",
"60-3=57"
] | Current State: 57:[3, 91, 5, 79], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [3, 5, 12]
Generated Node #2: [3, 5, 12] from Operation: 91-79=12
Current State: 57:[3, 5, 12], Operations: ['91-79=12']
Exploring Operation: 5*12=60, Resulting Numbers: [3, 60]
Generated Node #3: [3, 60] from Operation: 5*12=60
Current State: 57:[3, 60], Operations: ['91-79=12', '5*12=60']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
40,
37,
38,
23
] | 58 | [
"40-37=3",
"38+23=61",
"61-3=58"
] | Current State: 58:[40, 37, 38, 23], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [38, 23, 3]
Generated Node #2: [38, 23, 3] from Operation: 40-37=3
Current State: 58:[38, 23, 3], Operations: ['40-37=3']
Exploring Operation: 38+23=61, Resulting Numbers: [3, 61]
Generated Node #3: [3, 61] from Operation: 38+23=61
Current State: 58:[3, 61], Operations: ['40-37=3', '38+23=61']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
62,
93,
5,
80
] | 75 | [
"93-62=31",
"5*31=155",
"155-80=75"
] | Current State: 75:[62, 93, 5, 80], Operations: []
Exploring Operation: 93-62=31, Resulting Numbers: [5, 80, 31]
Generated Node #2: [5, 80, 31] from Operation: 93-62=31
Current State: 75:[5, 80, 31], Operations: ['93-62=31']
Exploring Operation: 5*31=155, Resulting Numbers: [80, 155]
Generated Node #3: [80, 155] from Operation: 5*31=155
Current State: 75:[80, 155], Operations: ['93-62=31', '5*31=155']
Exploring Operation: 155-80=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
32,
47,
55,
26
] | 30 | [
"55-47=8",
"32/8=4",
"26+4=30"
] | Current State: 30:[32, 47, 55, 26], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [32, 26, 8]
Generated Node #2: [32, 26, 8] from Operation: 55-47=8
Current State: 30:[32, 26, 8], Operations: ['55-47=8']
Exploring Operation: 32/8=4, Resulting Numbers: [26, 4]
Generated Node #3: [26, 4] from Operation: 32/8=4
Current State: 30:[26, 4], Operations: ['55-47=8', '32/8=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
20,
72,
3,
89
] | 77 | [
"20*3=60",
"89-72=17",
"60+17=77"
] | Current State: 77:[20, 72, 3, 89], Operations: []
Exploring Operation: 20*3=60, Resulting Numbers: [72, 89, 60]
Generated Node #2: [72, 89, 60] from Operation: 20*3=60
Current State: 77:[72, 89, 60], Operations: ['20*3=60']
Exploring Operation: 89-72=17, Resulting Numbers: [60, 17]
Generated Node #3: [60, 17] from Operation: 89-72=17
Current State: 77:[60, 17], Operations: ['20*3=60', '89-72=17']
Exploring Operation: 60+17=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
48,
20,
33,
27
] | 23 | [
"48+33=81",
"81/27=3",
"20+3=23"
] | Current State: 23:[48, 20, 33, 27], Operations: []
Exploring Operation: 48+33=81, Resulting Numbers: [20, 27, 81]
Generated Node #2: [20, 27, 81] from Operation: 48+33=81
Current State: 23:[20, 27, 81], Operations: ['48+33=81']
Exploring Operation: 81/27=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 81/27=3
Current State: 23:[20, 3], Operations: ['48+33=81', '81/27=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
62,
40,
20,
3
] | 82 | [
"62-40=22",
"20*3=60",
"22+60=82"
] | Current State: 82:[62, 40, 20, 3], Operations: []
Exploring Operation: 62-40=22, Resulting Numbers: [20, 3, 22]
Generated Node #2: [20, 3, 22] from Operation: 62-40=22
Current State: 82:[20, 3, 22], Operations: ['62-40=22']
Exploring Operation: 20*3=60, Resulting Numbers: [22, 60]
Generated Node #3: [22, 60] from Operation: 20*3=60
Current State: 82:[22, 60], Operations: ['62-40=22', '20*3=60']
Exploring Operation: 22+60=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
16,
19,
8,
54
] | 32 | [
"16*54=864",
"19+8=27",
"864/27=32"
] | Current State: 32:[16, 19, 8, 54], Operations: []
Exploring Operation: 16*54=864, Resulting Numbers: [19, 8, 864]
Generated Node #2: [19, 8, 864] from Operation: 16*54=864
Current State: 32:[19, 8, 864], Operations: ['16*54=864']
Exploring Operation: 19+8=27, Resulting Numbers: [864, 27]
Generated Node #3: [864, 27] from Operation: 19+8=27
Current State: 32:[864, 27], Operations: ['16*54=864', '19+8=27']
Exploring Operation: 864/27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
72,
49,
62,
22
] | 37 | [
"72+49=121",
"62+22=84",
"121-84=37"
] | Current State: 37:[72, 49, 62, 22], Operations: []
Exploring Operation: 72+49=121, Resulting Numbers: [62, 22, 121]
Generated Node #2: [62, 22, 121] from Operation: 72+49=121
Current State: 37:[62, 22, 121], Operations: ['72+49=121']
Exploring Operation: 62+22=84, Resulting Numbers: [121, 84]
Generated Node #3: [121, 84] from Operation: 62+22=84
Current State: 37:[121, 84], Operations: ['72+49=121', '62+22=84']
Exploring Operation: 121-84=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
5,
69,
38,
13
] | 23 | [
"5+69=74",
"38+13=51",
"74-51=23"
] | Current State: 23:[5, 69, 38, 13], Operations: []
Exploring Operation: 5+69=74, Resulting Numbers: [38, 13, 74]
Generated Node #2: [38, 13, 74] from Operation: 5+69=74
Current State: 23:[38, 13, 74], Operations: ['5+69=74']
Exploring Operation: 38+13=51, Resulting Numbers: [74, 51]
Generated Node #3: [74, 51] from Operation: 38+13=51
Current State: 23:[74, 51], Operations: ['5+69=74', '38+13=51']
Exploring Operation: 74-51=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
14,
84,
77,
51
] | 32 | [
"84/14=6",
"77-51=26",
"6+26=32"
] | Current State: 32:[14, 84, 77, 51], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [77, 51, 6]
Generated Node #2: [77, 51, 6] from Operation: 84/14=6
Current State: 32:[77, 51, 6], Operations: ['84/14=6']
Exploring Operation: 77-51=26, Resulting Numbers: [6, 26]
Generated Node #3: [6, 26] from Operation: 77-51=26
Current State: 32:[6, 26], Operations: ['84/14=6', '77-51=26']
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
38,
70,
80,
1
] | 29 | [
"38+70=108",
"80-1=79",
"108-79=29"
] | Current State: 29:[38, 70, 80, 1], Operations: []
Exploring Operation: 38+70=108, Resulting Numbers: [80, 1, 108]
Generated Node #2: [80, 1, 108] from Operation: 38+70=108
Current State: 29:[80, 1, 108], Operations: ['38+70=108']
Exploring Operation: 80-1=79, Resulting Numbers: [108, 79]
Generated Node #3: [108, 79] from Operation: 80-1=79
Current State: 29:[108, 79], Operations: ['38+70=108', '80-1=79']
Exploring Operation: 108-79=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
65,
67,
96,
74
] | 23 | [
"65+96=161",
"74-67=7",
"161/7=23"
] | Current State: 23:[65, 67, 96, 74], Operations: []
Exploring Operation: 65+96=161, Resulting Numbers: [67, 74, 161]
Generated Node #2: [67, 74, 161] from Operation: 65+96=161
Current State: 23:[67, 74, 161], Operations: ['65+96=161']
Exploring Operation: 74-67=7, Resulting Numbers: [161, 7]
Generated Node #3: [161, 7] from Operation: 74-67=7
Current State: 23:[161, 7], Operations: ['65+96=161', '74-67=7']
Exploring Operation: 161/7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
10,
21,
35,
16
] | 17 | [
"21-16=5",
"35/5=7",
"10+7=17"
] | Current State: 17:[10, 21, 35, 16], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [10, 35, 5]
Generated Node #2: [10, 35, 5] from Operation: 21-16=5
Current State: 17:[10, 35, 5], Operations: ['21-16=5']
Exploring Operation: 35/5=7, Resulting Numbers: [10, 7]
Generated Node #3: [10, 7] from Operation: 35/5=7
Current State: 17:[10, 7], Operations: ['21-16=5', '35/5=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
11,
55,
41,
49
] | 95 | [
"55/11=5",
"41+49=90",
"5+90=95"
] | Current State: 95:[11, 55, 41, 49], Operations: []
Exploring Operation: 55/11=5, Resulting Numbers: [41, 49, 5]
Generated Node #2: [41, 49, 5] from Operation: 55/11=5
Current State: 95:[41, 49, 5], Operations: ['55/11=5']
Exploring Operation: 41+49=90, Resulting Numbers: [5, 90]
Generated Node #3: [5, 90] from Operation: 41+49=90
Current State: 95:[5, 90], Operations: ['55/11=5', '41+49=90']
Exploring Operation: 5+90=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
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