nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
59,
5,
8,
55
] | 38 | [
"59+55=114",
"8-5=3",
"114/3=38"
] | Current State: 38:[59, 5, 8, 55], Operations: []
Exploring Operation: 59+55=114, Resulting Numbers: [5, 8, 114]
Generated Node #2: [5, 8, 114] from Operation: 59+55=114
Current State: 38:[5, 8, 114], Operations: ['59+55=114']
Exploring Operation: 8-5=3, Resulting Numbers: [114, 3]
Generated Node #3: [114, 3] from Operation: 8-5=3
Current State: 38:[114, 3], Operations: ['59+55=114', '8-5=3']
Exploring Operation: 114/3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
9,
20,
20,
97
] | 66 | [
"20-9=11",
"97-20=77",
"77-11=66"
] | Current State: 66:[9, 20, 20, 97], Operations: []
Exploring Operation: 20-9=11, Resulting Numbers: [97, 11]
Generated Node #2: [97, 11] from Operation: 20-9=11
Current State: 66:[97, 11], Operations: ['20-9=11']
Exploring Operation: 97-20=77, Resulting Numbers: [11, 77]
Generated Node #3: [11, 77] from Operation: 97-20=77
Current State: 66:[11, 77], Operations: ['20-9=11', '97-20=77']
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
17,
45,
9,
99
] | 46 | [
"17+45=62",
"9+99=108",
"108-62=46"
] | Current State: 46:[17, 45, 9, 99], Operations: []
Exploring Operation: 17+45=62, Resulting Numbers: [9, 99, 62]
Generated Node #2: [9, 99, 62] from Operation: 17+45=62
Current State: 46:[9, 99, 62], Operations: ['17+45=62']
Exploring Operation: 9+99=108, Resulting Numbers: [62, 108]
Generated Node #3: [62, 108] from Operation: 9+99=108
Current State: 46:[62, 108], Operations: ['17+45=62', '9+99=108']
Exploring Operation: 108-62=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
13,
51,
28,
27
] | 22 | [
"51+27=78",
"78/13=6",
"28-6=22"
] | Current State: 22:[13, 51, 28, 27], Operations: []
Exploring Operation: 51+27=78, Resulting Numbers: [13, 28, 78]
Generated Node #2: [13, 28, 78] from Operation: 51+27=78
Current State: 22:[13, 28, 78], Operations: ['51+27=78']
Exploring Operation: 78/13=6, Resulting Numbers: [28, 6]
Generated Node #3: [28, 6] from Operation: 78/13=6
Current State: 22:[28, 6], Operations: ['51+27=78', '78/13=6']
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
58,
15,
39,
13
] | 20 | [
"15-13=2",
"39*2=78",
"78-58=20"
] | Current State: 20:[58, 15, 39, 13], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [58, 39, 2]
Generated Node #2: [58, 39, 2] from Operation: 15-13=2
Current State: 20:[58, 39, 2], Operations: ['15-13=2']
Exploring Operation: 39*2=78, Resulting Numbers: [58, 78]
Generated Node #3: [58, 78] from Operation: 39*2=78
Current State: 20:[58, 78], Operations: ['15-13=2', '39*2=78']
Exploring Operation: 78-58=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
4,
99,
93,
97
] | 100 | [
"4+93=97",
"97/97=1",
"99+1=100"
] | Current State: 100:[4, 99, 93, 97], Operations: []
Exploring Operation: 4+93=97, Resulting Numbers: [99, 97, 97]
Generated Node #2: [99, 97, 97] from Operation: 4+93=97
Current State: 100:[99, 97, 97], Operations: ['4+93=97']
Exploring Operation: 97/97=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 97/97=1
Current State: 100:[99, 1], Operations: ['4+93=97', '97/97=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
84,
39,
81,
71
] | 35 | [
"84-39=45",
"81-71=10",
"45-10=35"
] | Current State: 35:[84, 39, 81, 71], Operations: []
Exploring Operation: 84-39=45, Resulting Numbers: [81, 71, 45]
Generated Node #2: [81, 71, 45] from Operation: 84-39=45
Current State: 35:[81, 71, 45], Operations: ['84-39=45']
Exploring Operation: 81-71=10, Resulting Numbers: [45, 10]
Generated Node #3: [45, 10] from Operation: 81-71=10
Current State: 35:[45, 10], Operations: ['84-39=45', '81-71=10']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
60,
14,
30,
35
] | 98 | [
"60/30=2",
"14+35=49",
"2*49=98"
] | Current State: 98:[60, 14, 30, 35], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [14, 35, 2]
Generated Node #2: [14, 35, 2] from Operation: 60/30=2
Current State: 98:[14, 35, 2], Operations: ['60/30=2']
Exploring Operation: 14+35=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 14+35=49
Current State: 98:[2, 49], Operations: ['60/30=2', '14+35=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
27,
30,
39,
30
] | 23 | [
"30-27=3",
"39+30=69",
"69/3=23"
] | Current State: 23:[27, 30, 39, 30], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [39, 3]
Generated Node #2: [39, 3] from Operation: 30-27=3
Current State: 23:[39, 3], Operations: ['30-27=3']
Exploring Operation: 39+30=69, Resulting Numbers: [3, 69]
Generated Node #3: [3, 69] from Operation: 39+30=69
Current State: 23:[3, 69], Operations: ['30-27=3', '39+30=69']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
37,
60,
78,
75
] | 69 | [
"60-37=23",
"78-75=3",
"23*3=69"
] | Current State: 69:[37, 60, 78, 75], Operations: []
Exploring Operation: 60-37=23, Resulting Numbers: [78, 75, 23]
Generated Node #2: [78, 75, 23] from Operation: 60-37=23
Current State: 69:[78, 75, 23], Operations: ['60-37=23']
Exploring Operation: 78-75=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 78-75=3
Current State: 69:[23, 3], Operations: ['60-37=23', '78-75=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
5,
10,
30,
50
] | 55 | [
"10/5=2",
"50/2=25",
"30+25=55"
] | Current State: 55:[5, 10, 30, 50], Operations: []
Exploring Operation: 10/5=2, Resulting Numbers: [30, 50, 2]
Generated Node #2: [30, 50, 2] from Operation: 10/5=2
Current State: 55:[30, 50, 2], Operations: ['10/5=2']
Exploring Operation: 50/2=25, Resulting Numbers: [30, 25]
Generated Node #3: [30, 25] from Operation: 50/2=25
Current State: 55:[30, 25], Operations: ['10/5=2', '50/2=25']
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
75,
62,
11,
87
] | 85 | [
"75-62=13",
"11+87=98",
"98-13=85"
] | Current State: 85:[75, 62, 11, 87], Operations: []
Exploring Operation: 75-62=13, Resulting Numbers: [11, 87, 13]
Generated Node #2: [11, 87, 13] from Operation: 75-62=13
Current State: 85:[11, 87, 13], Operations: ['75-62=13']
Exploring Operation: 11+87=98, Resulting Numbers: [13, 98]
Generated Node #3: [13, 98] from Operation: 11+87=98
Current State: 85:[13, 98], Operations: ['75-62=13', '11+87=98']
Exploring Operation: 98-13=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
3,
18,
57,
53
] | 100 | [
"3*57=171",
"18+53=71",
"171-71=100"
] | Current State: 100:[3, 18, 57, 53], Operations: []
Exploring Operation: 3*57=171, Resulting Numbers: [18, 53, 171]
Generated Node #2: [18, 53, 171] from Operation: 3*57=171
Current State: 100:[18, 53, 171], Operations: ['3*57=171']
Exploring Operation: 18+53=71, Resulting Numbers: [171, 71]
Generated Node #3: [171, 71] from Operation: 18+53=71
Current State: 100:[171, 71], Operations: ['3*57=171', '18+53=71']
Exploring Operation: 171-71=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
19,
6,
14,
8
] | 81 | [
"19+14=33",
"6*8=48",
"33+48=81"
] | Current State: 81:[19, 6, 14, 8], Operations: []
Exploring Operation: 19+14=33, Resulting Numbers: [6, 8, 33]
Generated Node #2: [6, 8, 33] from Operation: 19+14=33
Current State: 81:[6, 8, 33], Operations: ['19+14=33']
Exploring Operation: 6*8=48, Resulting Numbers: [33, 48]
Generated Node #3: [33, 48] from Operation: 6*8=48
Current State: 81:[33, 48], Operations: ['19+14=33', '6*8=48']
Exploring Operation: 33+48=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
42,
24,
53,
3
] | 91 | [
"42/3=14",
"24+53=77",
"14+77=91"
] | Current State: 91:[42, 24, 53, 3], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [24, 53, 14]
Generated Node #2: [24, 53, 14] from Operation: 42/3=14
Current State: 91:[24, 53, 14], Operations: ['42/3=14']
Exploring Operation: 24+53=77, Resulting Numbers: [14, 77]
Generated Node #3: [14, 77] from Operation: 24+53=77
Current State: 91:[14, 77], Operations: ['42/3=14', '24+53=77']
Exploring Operation: 14+77=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
88,
26,
86,
12
] | 83 | [
"86-26=60",
"60/12=5",
"88-5=83"
] | Current State: 83:[88, 26, 86, 12], Operations: []
Exploring Operation: 86-26=60, Resulting Numbers: [88, 12, 60]
Generated Node #2: [88, 12, 60] from Operation: 86-26=60
Current State: 83:[88, 12, 60], Operations: ['86-26=60']
Exploring Operation: 60/12=5, Resulting Numbers: [88, 5]
Generated Node #3: [88, 5] from Operation: 60/12=5
Current State: 83:[88, 5], Operations: ['86-26=60', '60/12=5']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
10,
46,
98,
94
] | 32 | [
"46-10=36",
"98-94=4",
"36-4=32"
] | Current State: 32:[10, 46, 98, 94], Operations: []
Exploring Operation: 46-10=36, Resulting Numbers: [98, 94, 36]
Generated Node #2: [98, 94, 36] from Operation: 46-10=36
Current State: 32:[98, 94, 36], Operations: ['46-10=36']
Exploring Operation: 98-94=4, Resulting Numbers: [36, 4]
Generated Node #3: [36, 4] from Operation: 98-94=4
Current State: 32:[36, 4], Operations: ['46-10=36', '98-94=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
56,
4,
6,
52
] | 60 | [
"56/4=14",
"52-6=46",
"14+46=60"
] | Current State: 60:[56, 4, 6, 52], Operations: []
Exploring Operation: 56/4=14, Resulting Numbers: [6, 52, 14]
Generated Node #2: [6, 52, 14] from Operation: 56/4=14
Current State: 60:[6, 52, 14], Operations: ['56/4=14']
Exploring Operation: 52-6=46, Resulting Numbers: [14, 46]
Generated Node #3: [14, 46] from Operation: 52-6=46
Current State: 60:[14, 46], Operations: ['56/4=14', '52-6=46']
Exploring Operation: 14+46=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
9,
59,
82,
91
] | 59 | [
"9+59=68",
"91-82=9",
"68-9=59"
] | Current State: 59:[9, 59, 82, 91], Operations: []
Exploring Operation: 9+59=68, Resulting Numbers: [82, 91, 68]
Generated Node #2: [82, 91, 68] from Operation: 9+59=68
Current State: 59:[82, 91, 68], Operations: ['9+59=68']
Exploring Operation: 91-82=9, Resulting Numbers: [68, 9]
Generated Node #3: [68, 9] from Operation: 91-82=9
Current State: 59:[68, 9], Operations: ['9+59=68', '91-82=9']
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
36,
59,
77,
81
] | 63 | [
"36+59=95",
"77+81=158",
"158-95=63"
] | Current State: 63:[36, 59, 77, 81], Operations: []
Exploring Operation: 36+59=95, Resulting Numbers: [77, 81, 95]
Generated Node #2: [77, 81, 95] from Operation: 36+59=95
Current State: 63:[77, 81, 95], Operations: ['36+59=95']
Exploring Operation: 77+81=158, Resulting Numbers: [95, 158]
Generated Node #3: [95, 158] from Operation: 77+81=158
Current State: 63:[95, 158], Operations: ['36+59=95', '77+81=158']
Exploring Operation: 158-95=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
37,
90,
96,
30
] | 73 | [
"90-37=53",
"96+30=126",
"126-53=73"
] | Current State: 73:[37, 90, 96, 30], Operations: []
Exploring Operation: 90-37=53, Resulting Numbers: [96, 30, 53]
Generated Node #2: [96, 30, 53] from Operation: 90-37=53
Current State: 73:[96, 30, 53], Operations: ['90-37=53']
Exploring Operation: 96+30=126, Resulting Numbers: [53, 126]
Generated Node #3: [53, 126] from Operation: 96+30=126
Current State: 73:[53, 126], Operations: ['90-37=53', '96+30=126']
Exploring Operation: 126-53=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
7,
17,
34,
37
] | 15 | [
"37-7=30",
"34/17=2",
"30/2=15"
] | Current State: 15:[7, 17, 34, 37], Operations: []
Exploring Operation: 37-7=30, Resulting Numbers: [17, 34, 30]
Generated Node #2: [17, 34, 30] from Operation: 37-7=30
Current State: 15:[17, 34, 30], Operations: ['37-7=30']
Exploring Operation: 34/17=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 34/17=2
Current State: 15:[30, 2], Operations: ['37-7=30', '34/17=2']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
93,
41,
40,
83
] | 10 | [
"93-83=10",
"41-40=1",
"10*1=10"
] | Current State: 10:[93, 41, 40, 83], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [41, 40, 10]
Generated Node #2: [41, 40, 10] from Operation: 93-83=10
Current State: 10:[41, 40, 10], Operations: ['93-83=10']
Exploring Operation: 41-40=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 41-40=1
Current State: 10:[10, 1], Operations: ['93-83=10', '41-40=1']
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
96,
78,
21,
93
] | 71 | [
"96-93=3",
"21/3=7",
"78-7=71"
] | Current State: 71:[96, 78, 21, 93], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [78, 21, 3]
Generated Node #2: [78, 21, 3] from Operation: 96-93=3
Current State: 71:[78, 21, 3], Operations: ['96-93=3']
Exploring Operation: 21/3=7, Resulting Numbers: [78, 7]
Generated Node #3: [78, 7] from Operation: 21/3=7
Current State: 71:[78, 7], Operations: ['96-93=3', '21/3=7']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
18,
25,
9,
1
] | 51 | [
"18+25=43",
"9-1=8",
"43+8=51"
] | Current State: 51:[18, 25, 9, 1], Operations: []
Exploring Operation: 18+25=43, Resulting Numbers: [9, 1, 43]
Generated Node #2: [9, 1, 43] from Operation: 18+25=43
Current State: 51:[9, 1, 43], Operations: ['18+25=43']
Exploring Operation: 9-1=8, Resulting Numbers: [43, 8]
Generated Node #3: [43, 8] from Operation: 9-1=8
Current State: 51:[43, 8], Operations: ['18+25=43', '9-1=8']
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
7,
58,
23,
44
] | 55 | [
"44-23=21",
"21/7=3",
"58-3=55"
] | Current State: 55:[7, 58, 23, 44], Operations: []
Exploring Operation: 44-23=21, Resulting Numbers: [7, 58, 21]
Generated Node #2: [7, 58, 21] from Operation: 44-23=21
Current State: 55:[7, 58, 21], Operations: ['44-23=21']
Exploring Operation: 21/7=3, Resulting Numbers: [58, 3]
Generated Node #3: [58, 3] from Operation: 21/7=3
Current State: 55:[58, 3], Operations: ['44-23=21', '21/7=3']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
56,
35,
45,
40
] | 94 | [
"56*35=1960",
"1960/40=49",
"45+49=94"
] | Current State: 94:[56, 35, 45, 40], Operations: []
Exploring Operation: 56*35=1960, Resulting Numbers: [45, 40, 1960]
Generated Node #2: [45, 40, 1960] from Operation: 56*35=1960
Current State: 94:[45, 40, 1960], Operations: ['56*35=1960']
Exploring Operation: 1960/40=49, Resulting Numbers: [45, 49]
Generated Node #3: [45, 49] from Operation: 1960/40=49
Current State: 94:[45, 49], Operations: ['56*35=1960', '1960/40=49']
Exploring Operation: 45+49=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
41,
15,
25,
31
] | 32 | [
"41-15=26",
"31-25=6",
"26+6=32"
] | Current State: 32:[41, 15, 25, 31], Operations: []
Exploring Operation: 41-15=26, Resulting Numbers: [25, 31, 26]
Generated Node #2: [25, 31, 26] from Operation: 41-15=26
Current State: 32:[25, 31, 26], Operations: ['41-15=26']
Exploring Operation: 31-25=6, Resulting Numbers: [26, 6]
Generated Node #3: [26, 6] from Operation: 31-25=6
Current State: 32:[26, 6], Operations: ['41-15=26', '31-25=6']
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
28,
45,
77,
8
] | 68 | [
"45-28=17",
"77+8=85",
"85-17=68"
] | Current State: 68:[28, 45, 77, 8], Operations: []
Exploring Operation: 45-28=17, Resulting Numbers: [77, 8, 17]
Generated Node #2: [77, 8, 17] from Operation: 45-28=17
Current State: 68:[77, 8, 17], Operations: ['45-28=17']
Exploring Operation: 77+8=85, Resulting Numbers: [17, 85]
Generated Node #3: [17, 85] from Operation: 77+8=85
Current State: 68:[17, 85], Operations: ['45-28=17', '77+8=85']
Exploring Operation: 85-17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
74,
73,
2,
41
] | 58 | [
"73-41=32",
"32/2=16",
"74-16=58"
] | Current State: 58:[74, 73, 2, 41], Operations: []
Exploring Operation: 73-41=32, Resulting Numbers: [74, 2, 32]
Generated Node #2: [74, 2, 32] from Operation: 73-41=32
Current State: 58:[74, 2, 32], Operations: ['73-41=32']
Exploring Operation: 32/2=16, Resulting Numbers: [74, 16]
Generated Node #3: [74, 16] from Operation: 32/2=16
Current State: 58:[74, 16], Operations: ['73-41=32', '32/2=16']
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
44,
72,
76,
93
] | 99 | [
"44+72=116",
"93-76=17",
"116-17=99"
] | Current State: 99:[44, 72, 76, 93], Operations: []
Exploring Operation: 44+72=116, Resulting Numbers: [76, 93, 116]
Generated Node #2: [76, 93, 116] from Operation: 44+72=116
Current State: 99:[76, 93, 116], Operations: ['44+72=116']
Exploring Operation: 93-76=17, Resulting Numbers: [116, 17]
Generated Node #3: [116, 17] from Operation: 93-76=17
Current State: 99:[116, 17], Operations: ['44+72=116', '93-76=17']
Exploring Operation: 116-17=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
93,
24,
27,
95
] | 21 | [
"95-93=2",
"24*2=48",
"48-27=21"
] | Current State: 21:[93, 24, 27, 95], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [24, 27, 2]
Generated Node #2: [24, 27, 2] from Operation: 95-93=2
Current State: 21:[24, 27, 2], Operations: ['95-93=2']
Exploring Operation: 24*2=48, Resulting Numbers: [27, 48]
Generated Node #3: [27, 48] from Operation: 24*2=48
Current State: 21:[27, 48], Operations: ['95-93=2', '24*2=48']
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
65,
56,
28,
55
] | 92 | [
"65-56=9",
"28+55=83",
"9+83=92"
] | Current State: 92:[65, 56, 28, 55], Operations: []
Exploring Operation: 65-56=9, Resulting Numbers: [28, 55, 9]
Generated Node #2: [28, 55, 9] from Operation: 65-56=9
Current State: 92:[28, 55, 9], Operations: ['65-56=9']
Exploring Operation: 28+55=83, Resulting Numbers: [9, 83]
Generated Node #3: [9, 83] from Operation: 28+55=83
Current State: 92:[9, 83], Operations: ['65-56=9', '28+55=83']
Exploring Operation: 9+83=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
9,
68,
22,
77
] | 53 | [
"9*22=198",
"68+77=145",
"198-145=53"
] | Current State: 53:[9, 68, 22, 77], Operations: []
Exploring Operation: 9*22=198, Resulting Numbers: [68, 77, 198]
Generated Node #2: [68, 77, 198] from Operation: 9*22=198
Current State: 53:[68, 77, 198], Operations: ['9*22=198']
Exploring Operation: 68+77=145, Resulting Numbers: [198, 145]
Generated Node #3: [198, 145] from Operation: 68+77=145
Current State: 53:[198, 145], Operations: ['9*22=198', '68+77=145']
Exploring Operation: 198-145=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
76,
48,
25,
34
] | 32 | [
"76-25=51",
"48*34=1632",
"1632/51=32"
] | Current State: 32:[76, 48, 25, 34], Operations: []
Exploring Operation: 76-25=51, Resulting Numbers: [48, 34, 51]
Generated Node #2: [48, 34, 51] from Operation: 76-25=51
Current State: 32:[48, 34, 51], Operations: ['76-25=51']
Exploring Operation: 48*34=1632, Resulting Numbers: [51, 1632]
Generated Node #3: [51, 1632] from Operation: 48*34=1632
Current State: 32:[51, 1632], Operations: ['76-25=51', '48*34=1632']
Exploring Operation: 1632/51=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
21,
8,
30,
24
] | 96 | [
"30-21=9",
"8*9=72",
"24+72=96"
] | Current State: 96:[21, 8, 30, 24], Operations: []
Exploring Operation: 30-21=9, Resulting Numbers: [8, 24, 9]
Generated Node #2: [8, 24, 9] from Operation: 30-21=9
Current State: 96:[8, 24, 9], Operations: ['30-21=9']
Exploring Operation: 8*9=72, Resulting Numbers: [24, 72]
Generated Node #3: [24, 72] from Operation: 8*9=72
Current State: 96:[24, 72], Operations: ['30-21=9', '8*9=72']
Exploring Operation: 24+72=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
44,
98,
37,
46
] | 24 | [
"46-44=2",
"37*2=74",
"98-74=24"
] | Current State: 24:[44, 98, 37, 46], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [98, 37, 2]
Generated Node #2: [98, 37, 2] from Operation: 46-44=2
Current State: 24:[98, 37, 2], Operations: ['46-44=2']
Exploring Operation: 37*2=74, Resulting Numbers: [98, 74]
Generated Node #3: [98, 74] from Operation: 37*2=74
Current State: 24:[98, 74], Operations: ['46-44=2', '37*2=74']
Exploring Operation: 98-74=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
76,
59,
82,
73
] | 84 | [
"82-76=6",
"73-59=14",
"6*14=84"
] | Current State: 84:[76, 59, 82, 73], Operations: []
Exploring Operation: 82-76=6, Resulting Numbers: [59, 73, 6]
Generated Node #2: [59, 73, 6] from Operation: 82-76=6
Current State: 84:[59, 73, 6], Operations: ['82-76=6']
Exploring Operation: 73-59=14, Resulting Numbers: [6, 14]
Generated Node #3: [6, 14] from Operation: 73-59=14
Current State: 84:[6, 14], Operations: ['82-76=6', '73-59=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
70,
34,
75,
36
] | 80 | [
"36-34=2",
"75*2=150",
"150-70=80"
] | Current State: 80:[70, 34, 75, 36], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [70, 75, 2]
Generated Node #2: [70, 75, 2] from Operation: 36-34=2
Current State: 80:[70, 75, 2], Operations: ['36-34=2']
Exploring Operation: 75*2=150, Resulting Numbers: [70, 150]
Generated Node #3: [70, 150] from Operation: 75*2=150
Current State: 80:[70, 150], Operations: ['36-34=2', '75*2=150']
Exploring Operation: 150-70=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
73,
24,
32,
97
] | 31 | [
"73+24=97",
"97/97=1",
"32-1=31"
] | Current State: 31:[73, 24, 32, 97], Operations: []
Exploring Operation: 73+24=97, Resulting Numbers: [32, 97, 97]
Generated Node #2: [32, 97, 97] from Operation: 73+24=97
Current State: 31:[32, 97, 97], Operations: ['73+24=97']
Exploring Operation: 97/97=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 97/97=1
Current State: 31:[32, 1], Operations: ['73+24=97', '97/97=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
40,
7,
3,
97
] | 10 | [
"97-7=90",
"90/3=30",
"40-30=10"
] | Current State: 10:[40, 7, 3, 97], Operations: []
Exploring Operation: 97-7=90, Resulting Numbers: [40, 3, 90]
Generated Node #2: [40, 3, 90] from Operation: 97-7=90
Current State: 10:[40, 3, 90], Operations: ['97-7=90']
Exploring Operation: 90/3=30, Resulting Numbers: [40, 30]
Generated Node #3: [40, 30] from Operation: 90/3=30
Current State: 10:[40, 30], Operations: ['97-7=90', '90/3=30']
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
63,
10,
11,
8
] | 58 | [
"63*10=630",
"8+630=638",
"638/11=58"
] | Current State: 58:[63, 10, 11, 8], Operations: []
Exploring Operation: 63*10=630, Resulting Numbers: [11, 8, 630]
Generated Node #2: [11, 8, 630] from Operation: 63*10=630
Current State: 58:[11, 8, 630], Operations: ['63*10=630']
Exploring Operation: 8+630=638, Resulting Numbers: [11, 638]
Generated Node #3: [11, 638] from Operation: 8+630=638
Current State: 58:[11, 638], Operations: ['63*10=630', '8+630=638']
Exploring Operation: 638/11=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
25,
99,
59,
37
] | 61 | [
"99-25=74",
"74/37=2",
"59+2=61"
] | Current State: 61:[25, 99, 59, 37], Operations: []
Exploring Operation: 99-25=74, Resulting Numbers: [59, 37, 74]
Generated Node #2: [59, 37, 74] from Operation: 99-25=74
Current State: 61:[59, 37, 74], Operations: ['99-25=74']
Exploring Operation: 74/37=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 74/37=2
Current State: 61:[59, 2], Operations: ['99-25=74', '74/37=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
59,
95,
80,
42
] | 97 | [
"80-59=21",
"42/21=2",
"95+2=97"
] | Current State: 97:[59, 95, 80, 42], Operations: []
Exploring Operation: 80-59=21, Resulting Numbers: [95, 42, 21]
Generated Node #2: [95, 42, 21] from Operation: 80-59=21
Current State: 97:[95, 42, 21], Operations: ['80-59=21']
Exploring Operation: 42/21=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 42/21=2
Current State: 97:[95, 2], Operations: ['80-59=21', '42/21=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
68,
52,
65,
57
] | 33 | [
"68-65=3",
"57/3=19",
"52-19=33"
] | Current State: 33:[68, 52, 65, 57], Operations: []
Exploring Operation: 68-65=3, Resulting Numbers: [52, 57, 3]
Generated Node #2: [52, 57, 3] from Operation: 68-65=3
Current State: 33:[52, 57, 3], Operations: ['68-65=3']
Exploring Operation: 57/3=19, Resulting Numbers: [52, 19]
Generated Node #3: [52, 19] from Operation: 57/3=19
Current State: 33:[52, 19], Operations: ['68-65=3', '57/3=19']
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
20,
12,
29,
4
] | 17 | [
"20-12=8",
"29-4=25",
"25-8=17"
] | Current State: 17:[20, 12, 29, 4], Operations: []
Exploring Operation: 20-12=8, Resulting Numbers: [29, 4, 8]
Generated Node #2: [29, 4, 8] from Operation: 20-12=8
Current State: 17:[29, 4, 8], Operations: ['20-12=8']
Exploring Operation: 29-4=25, Resulting Numbers: [8, 25]
Generated Node #3: [8, 25] from Operation: 29-4=25
Current State: 17:[8, 25], Operations: ['20-12=8', '29-4=25']
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
29,
63,
40,
22
] | 96 | [
"63-29=34",
"40+22=62",
"34+62=96"
] | Current State: 96:[29, 63, 40, 22], Operations: []
Exploring Operation: 63-29=34, Resulting Numbers: [40, 22, 34]
Generated Node #2: [40, 22, 34] from Operation: 63-29=34
Current State: 96:[40, 22, 34], Operations: ['63-29=34']
Exploring Operation: 40+22=62, Resulting Numbers: [34, 62]
Generated Node #3: [34, 62] from Operation: 40+22=62
Current State: 96:[34, 62], Operations: ['63-29=34', '40+22=62']
Exploring Operation: 34+62=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
76,
4,
54,
44
] | 74 | [
"76-44=32",
"4*32=128",
"128-54=74"
] | Current State: 74:[76, 4, 54, 44], Operations: []
Exploring Operation: 76-44=32, Resulting Numbers: [4, 54, 32]
Generated Node #2: [4, 54, 32] from Operation: 76-44=32
Current State: 74:[4, 54, 32], Operations: ['76-44=32']
Exploring Operation: 4*32=128, Resulting Numbers: [54, 128]
Generated Node #3: [54, 128] from Operation: 4*32=128
Current State: 74:[54, 128], Operations: ['76-44=32', '4*32=128']
Exploring Operation: 128-54=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
76,
88,
80,
16
] | 100 | [
"76+88=164",
"80-16=64",
"164-64=100"
] | Current State: 100:[76, 88, 80, 16], Operations: []
Exploring Operation: 76+88=164, Resulting Numbers: [80, 16, 164]
Generated Node #2: [80, 16, 164] from Operation: 76+88=164
Current State: 100:[80, 16, 164], Operations: ['76+88=164']
Exploring Operation: 80-16=64, Resulting Numbers: [164, 64]
Generated Node #3: [164, 64] from Operation: 80-16=64
Current State: 100:[164, 64], Operations: ['76+88=164', '80-16=64']
Exploring Operation: 164-64=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
51,
56,
89,
52
] | 34 | [
"51+56=107",
"89+52=141",
"141-107=34"
] | Current State: 34:[51, 56, 89, 52], Operations: []
Exploring Operation: 51+56=107, Resulting Numbers: [89, 52, 107]
Generated Node #2: [89, 52, 107] from Operation: 51+56=107
Current State: 34:[89, 52, 107], Operations: ['51+56=107']
Exploring Operation: 89+52=141, Resulting Numbers: [107, 141]
Generated Node #3: [107, 141] from Operation: 89+52=141
Current State: 34:[107, 141], Operations: ['51+56=107', '89+52=141']
Exploring Operation: 141-107=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
26,
9,
5,
96
] | 89 | [
"26+9=35",
"35/5=7",
"96-7=89"
] | Current State: 89:[26, 9, 5, 96], Operations: []
Exploring Operation: 26+9=35, Resulting Numbers: [5, 96, 35]
Generated Node #2: [5, 96, 35] from Operation: 26+9=35
Current State: 89:[5, 96, 35], Operations: ['26+9=35']
Exploring Operation: 35/5=7, Resulting Numbers: [96, 7]
Generated Node #3: [96, 7] from Operation: 35/5=7
Current State: 89:[96, 7], Operations: ['26+9=35', '35/5=7']
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
12,
25,
4,
62
] | 71 | [
"25-12=13",
"62-4=58",
"13+58=71"
] | Current State: 71:[12, 25, 4, 62], Operations: []
Exploring Operation: 25-12=13, Resulting Numbers: [4, 62, 13]
Generated Node #2: [4, 62, 13] from Operation: 25-12=13
Current State: 71:[4, 62, 13], Operations: ['25-12=13']
Exploring Operation: 62-4=58, Resulting Numbers: [13, 58]
Generated Node #3: [13, 58] from Operation: 62-4=58
Current State: 71:[13, 58], Operations: ['25-12=13', '62-4=58']
Exploring Operation: 13+58=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
79,
84,
22,
50
] | 60 | [
"84-79=5",
"22*5=110",
"110-50=60"
] | Current State: 60:[79, 84, 22, 50], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [22, 50, 5]
Generated Node #2: [22, 50, 5] from Operation: 84-79=5
Current State: 60:[22, 50, 5], Operations: ['84-79=5']
Exploring Operation: 22*5=110, Resulting Numbers: [50, 110]
Generated Node #3: [50, 110] from Operation: 22*5=110
Current State: 60:[50, 110], Operations: ['84-79=5', '22*5=110']
Exploring Operation: 110-50=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
63,
4,
31,
81
] | 91 | [
"31+81=112",
"112/4=28",
"63+28=91"
] | Current State: 91:[63, 4, 31, 81], Operations: []
Exploring Operation: 31+81=112, Resulting Numbers: [63, 4, 112]
Generated Node #2: [63, 4, 112] from Operation: 31+81=112
Current State: 91:[63, 4, 112], Operations: ['31+81=112']
Exploring Operation: 112/4=28, Resulting Numbers: [63, 28]
Generated Node #3: [63, 28] from Operation: 112/4=28
Current State: 91:[63, 28], Operations: ['31+81=112', '112/4=28']
Exploring Operation: 63+28=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
94,
17,
80,
45
] | 15 | [
"94-17=77",
"80-77=3",
"45/3=15"
] | Current State: 15:[94, 17, 80, 45], Operations: []
Exploring Operation: 94-17=77, Resulting Numbers: [80, 45, 77]
Generated Node #2: [80, 45, 77] from Operation: 94-17=77
Current State: 15:[80, 45, 77], Operations: ['94-17=77']
Exploring Operation: 80-77=3, Resulting Numbers: [45, 3]
Generated Node #3: [45, 3] from Operation: 80-77=3
Current State: 15:[45, 3], Operations: ['94-17=77', '80-77=3']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
38,
57,
14,
40
] | 35 | [
"57-38=19",
"14+40=54",
"54-19=35"
] | Current State: 35:[38, 57, 14, 40], Operations: []
Exploring Operation: 57-38=19, Resulting Numbers: [14, 40, 19]
Generated Node #2: [14, 40, 19] from Operation: 57-38=19
Current State: 35:[14, 40, 19], Operations: ['57-38=19']
Exploring Operation: 14+40=54, Resulting Numbers: [19, 54]
Generated Node #3: [19, 54] from Operation: 14+40=54
Current State: 35:[19, 54], Operations: ['57-38=19', '14+40=54']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
33,
16,
16,
15
] | 32 | [
"33-16=17",
"17-15=2",
"16*2=32"
] | Current State: 32:[33, 16, 16, 15], Operations: []
Exploring Operation: 33-16=17, Resulting Numbers: [15, 17]
Generated Node #2: [15, 17] from Operation: 33-16=17
Current State: 32:[15, 17], Operations: ['33-16=17']
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,32 equal: Goal Reached
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
2,
6,
56,
72
] | 65 | [
"2+6=8",
"56/8=7",
"72-7=65"
] | Current State: 65:[2, 6, 56, 72], Operations: []
Exploring Operation: 2+6=8, Resulting Numbers: [56, 72, 8]
Generated Node #2: [56, 72, 8] from Operation: 2+6=8
Current State: 65:[56, 72, 8], Operations: ['2+6=8']
Exploring Operation: 56/8=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 56/8=7
Current State: 65:[72, 7], Operations: ['2+6=8', '56/8=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
3,
2,
82,
27
] | 53 | [
"3+2=5",
"27*5=135",
"135-82=53"
] | Current State: 53:[3, 2, 82, 27], Operations: []
Exploring Operation: 3+2=5, Resulting Numbers: [82, 27, 5]
Generated Node #2: [82, 27, 5] from Operation: 3+2=5
Current State: 53:[82, 27, 5], Operations: ['3+2=5']
Exploring Operation: 27*5=135, Resulting Numbers: [82, 135]
Generated Node #3: [82, 135] from Operation: 27*5=135
Current State: 53:[82, 135], Operations: ['3+2=5', '27*5=135']
Exploring Operation: 135-82=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
30,
96,
58,
41
] | 14 | [
"41-30=11",
"96+58=154",
"154/11=14"
] | Current State: 14:[30, 96, 58, 41], Operations: []
Exploring Operation: 41-30=11, Resulting Numbers: [96, 58, 11]
Generated Node #2: [96, 58, 11] from Operation: 41-30=11
Current State: 14:[96, 58, 11], Operations: ['41-30=11']
Exploring Operation: 96+58=154, Resulting Numbers: [11, 154]
Generated Node #3: [11, 154] from Operation: 96+58=154
Current State: 14:[11, 154], Operations: ['41-30=11', '96+58=154']
Exploring Operation: 154/11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
31,
51,
2,
3
] | 44 | [
"31+51=82",
"82/2=41",
"3+41=44"
] | Current State: 44:[31, 51, 2, 3], Operations: []
Exploring Operation: 31+51=82, Resulting Numbers: [2, 3, 82]
Generated Node #2: [2, 3, 82] from Operation: 31+51=82
Current State: 44:[2, 3, 82], Operations: ['31+51=82']
Exploring Operation: 82/2=41, Resulting Numbers: [3, 41]
Generated Node #3: [3, 41] from Operation: 82/2=41
Current State: 44:[3, 41], Operations: ['31+51=82', '82/2=41']
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
59,
25,
31,
39
] | 14 | [
"59+25=84",
"31+39=70",
"84-70=14"
] | Current State: 14:[59, 25, 31, 39], Operations: []
Exploring Operation: 59+25=84, Resulting Numbers: [31, 39, 84]
Generated Node #2: [31, 39, 84] from Operation: 59+25=84
Current State: 14:[31, 39, 84], Operations: ['59+25=84']
Exploring Operation: 31+39=70, Resulting Numbers: [84, 70]
Generated Node #3: [84, 70] from Operation: 31+39=70
Current State: 14:[84, 70], Operations: ['59+25=84', '31+39=70']
Exploring Operation: 84-70=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
57,
79,
2,
68
] | 92 | [
"79-57=22",
"2+68=70",
"22+70=92"
] | Current State: 92:[57, 79, 2, 68], Operations: []
Exploring Operation: 79-57=22, Resulting Numbers: [2, 68, 22]
Generated Node #2: [2, 68, 22] from Operation: 79-57=22
Current State: 92:[2, 68, 22], Operations: ['79-57=22']
Exploring Operation: 2+68=70, Resulting Numbers: [22, 70]
Generated Node #3: [22, 70] from Operation: 2+68=70
Current State: 92:[22, 70], Operations: ['79-57=22', '2+68=70']
Exploring Operation: 22+70=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
35,
29,
19,
59
] | 13 | [
"35-29=6",
"19+59=78",
"78/6=13"
] | Current State: 13:[35, 29, 19, 59], Operations: []
Exploring Operation: 35-29=6, Resulting Numbers: [19, 59, 6]
Generated Node #2: [19, 59, 6] from Operation: 35-29=6
Current State: 13:[19, 59, 6], Operations: ['35-29=6']
Exploring Operation: 19+59=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 19+59=78
Current State: 13:[6, 78], Operations: ['35-29=6', '19+59=78']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
95,
53,
7,
31
] | 59 | [
"53-31=22",
"7*22=154",
"154-95=59"
] | Current State: 59:[95, 53, 7, 31], Operations: []
Exploring Operation: 53-31=22, Resulting Numbers: [95, 7, 22]
Generated Node #2: [95, 7, 22] from Operation: 53-31=22
Current State: 59:[95, 7, 22], Operations: ['53-31=22']
Exploring Operation: 7*22=154, Resulting Numbers: [95, 154]
Generated Node #3: [95, 154] from Operation: 7*22=154
Current State: 59:[95, 154], Operations: ['53-31=22', '7*22=154']
Exploring Operation: 154-95=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
41,
30,
84,
74
] | 28 | [
"41+30=71",
"74-71=3",
"84/3=28"
] | Current State: 28:[41, 30, 84, 74], Operations: []
Exploring Operation: 41+30=71, Resulting Numbers: [84, 74, 71]
Generated Node #2: [84, 74, 71] from Operation: 41+30=71
Current State: 28:[84, 74, 71], Operations: ['41+30=71']
Exploring Operation: 74-71=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 74-71=3
Current State: 28:[84, 3], Operations: ['41+30=71', '74-71=3']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
11,
81,
51,
44
] | 34 | [
"44/11=4",
"81-51=30",
"4+30=34"
] | Current State: 34:[11, 81, 51, 44], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [81, 51, 4]
Generated Node #2: [81, 51, 4] from Operation: 44/11=4
Current State: 34:[81, 51, 4], Operations: ['44/11=4']
Exploring Operation: 81-51=30, Resulting Numbers: [4, 30]
Generated Node #3: [4, 30] from Operation: 81-51=30
Current State: 34:[4, 30], Operations: ['44/11=4', '81-51=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
75,
5,
80,
5
] | 60 | [
"75/5=15",
"80-5=75",
"75-15=60"
] | Current State: 60:[75, 5, 80, 5], Operations: []
Exploring Operation: 75/5=15, Resulting Numbers: [80, 15]
Generated Node #2: [80, 15] from Operation: 75/5=15
Current State: 60:[80, 15], Operations: ['75/5=15']
Exploring Operation: 80-5=75, Resulting Numbers: [15, 75]
Generated Node #3: [15, 75] from Operation: 80-5=75
Current State: 60:[15, 75], Operations: ['75/5=15', '80-5=75']
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
95,
45,
49,
3
] | 89 | [
"95-49=46",
"45*3=135",
"135-46=89"
] | Current State: 89:[95, 45, 49, 3], Operations: []
Exploring Operation: 95-49=46, Resulting Numbers: [45, 3, 46]
Generated Node #2: [45, 3, 46] from Operation: 95-49=46
Current State: 89:[45, 3, 46], Operations: ['95-49=46']
Exploring Operation: 45*3=135, Resulting Numbers: [46, 135]
Generated Node #3: [46, 135] from Operation: 45*3=135
Current State: 89:[46, 135], Operations: ['95-49=46', '45*3=135']
Exploring Operation: 135-46=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
46,
44,
52,
11
] | 49 | [
"46+44=90",
"52-11=41",
"90-41=49"
] | Current State: 49:[46, 44, 52, 11], Operations: []
Exploring Operation: 46+44=90, Resulting Numbers: [52, 11, 90]
Generated Node #2: [52, 11, 90] from Operation: 46+44=90
Current State: 49:[52, 11, 90], Operations: ['46+44=90']
Exploring Operation: 52-11=41, Resulting Numbers: [90, 41]
Generated Node #3: [90, 41] from Operation: 52-11=41
Current State: 49:[90, 41], Operations: ['46+44=90', '52-11=41']
Exploring Operation: 90-41=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
55,
84,
68,
4
] | 67 | [
"55+84=139",
"68+4=72",
"139-72=67"
] | Current State: 67:[55, 84, 68, 4], Operations: []
Exploring Operation: 55+84=139, Resulting Numbers: [68, 4, 139]
Generated Node #2: [68, 4, 139] from Operation: 55+84=139
Current State: 67:[68, 4, 139], Operations: ['55+84=139']
Exploring Operation: 68+4=72, Resulting Numbers: [139, 72]
Generated Node #3: [139, 72] from Operation: 68+4=72
Current State: 67:[139, 72], Operations: ['55+84=139', '68+4=72']
Exploring Operation: 139-72=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
31,
20,
35,
59
] | 95 | [
"31*35=1085",
"20*59=1180",
"1180-1085=95"
] | Current State: 95:[31, 20, 35, 59], Operations: []
Exploring Operation: 31*35=1085, Resulting Numbers: [20, 59, 1085]
Generated Node #2: [20, 59, 1085] from Operation: 31*35=1085
Current State: 95:[20, 59, 1085], Operations: ['31*35=1085']
Exploring Operation: 20*59=1180, Resulting Numbers: [1085, 1180]
Generated Node #3: [1085, 1180] from Operation: 20*59=1180
Current State: 95:[1085, 1180], Operations: ['31*35=1085', '20*59=1180']
Exploring Operation: 1180-1085=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
10,
3,
4,
81
] | 71 | [
"81-10=71",
"4-3=1",
"71*1=71"
] | Current State: 71:[10, 3, 4, 81], Operations: []
Exploring Operation: 81-10=71, Resulting Numbers: [3, 4, 71]
Generated Node #2: [3, 4, 71] from Operation: 81-10=71
Current State: 71:[3, 4, 71], Operations: ['81-10=71']
Exploring Operation: 4-3=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 4-3=1
Current State: 71:[71, 1], Operations: ['81-10=71', '4-3=1']
Exploring Operation: 71*1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
1,
24,
82,
84
] | 27 | [
"1+24=25",
"84-82=2",
"25+2=27"
] | Current State: 27:[1, 24, 82, 84], Operations: []
Exploring Operation: 1+24=25, Resulting Numbers: [82, 84, 25]
Generated Node #2: [82, 84, 25] from Operation: 1+24=25
Current State: 27:[82, 84, 25], Operations: ['1+24=25']
Exploring Operation: 84-82=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 84-82=2
Current State: 27:[25, 2], Operations: ['1+24=25', '84-82=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
6,
80,
42,
65
] | 51 | [
"80-6=74",
"65-42=23",
"74-23=51"
] | Current State: 51:[6, 80, 42, 65], Operations: []
Exploring Operation: 80-6=74, Resulting Numbers: [42, 65, 74]
Generated Node #2: [42, 65, 74] from Operation: 80-6=74
Current State: 51:[42, 65, 74], Operations: ['80-6=74']
Exploring Operation: 65-42=23, Resulting Numbers: [74, 23]
Generated Node #3: [74, 23] from Operation: 65-42=23
Current State: 51:[74, 23], Operations: ['80-6=74', '65-42=23']
Exploring Operation: 74-23=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
3,
44,
98,
1
] | 17 | [
"98-44=54",
"54/3=18",
"18-1=17"
] | Current State: 17:[3, 44, 98, 1], Operations: []
Exploring Operation: 98-44=54, Resulting Numbers: [3, 1, 54]
Generated Node #2: [3, 1, 54] from Operation: 98-44=54
Current State: 17:[3, 1, 54], Operations: ['98-44=54']
Exploring Operation: 54/3=18, Resulting Numbers: [1, 18]
Generated Node #3: [1, 18] from Operation: 54/3=18
Current State: 17:[1, 18], Operations: ['98-44=54', '54/3=18']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
77,
56,
75,
61
] | 33 | [
"77-75=2",
"56/2=28",
"61-28=33"
] | Current State: 33:[77, 56, 75, 61], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [56, 61, 2]
Generated Node #2: [56, 61, 2] from Operation: 77-75=2
Current State: 33:[56, 61, 2], Operations: ['77-75=2']
Exploring Operation: 56/2=28, Resulting Numbers: [61, 28]
Generated Node #3: [61, 28] from Operation: 56/2=28
Current State: 33:[61, 28], Operations: ['77-75=2', '56/2=28']
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
8,
58,
49,
34
] | 46 | [
"58-34=24",
"24/8=3",
"49-3=46"
] | Current State: 46:[8, 58, 49, 34], Operations: []
Exploring Operation: 58-34=24, Resulting Numbers: [8, 49, 24]
Generated Node #2: [8, 49, 24] from Operation: 58-34=24
Current State: 46:[8, 49, 24], Operations: ['58-34=24']
Exploring Operation: 24/8=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 24/8=3
Current State: 46:[49, 3], Operations: ['58-34=24', '24/8=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
49,
69,
30,
46
] | 59 | [
"49-46=3",
"30/3=10",
"69-10=59"
] | Current State: 59:[49, 69, 30, 46], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [69, 30, 3]
Generated Node #2: [69, 30, 3] from Operation: 49-46=3
Current State: 59:[69, 30, 3], Operations: ['49-46=3']
Exploring Operation: 30/3=10, Resulting Numbers: [69, 10]
Generated Node #3: [69, 10] from Operation: 30/3=10
Current State: 59:[69, 10], Operations: ['49-46=3', '30/3=10']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
75,
32,
2,
1
] | 87 | [
"75-32=43",
"2*43=86",
"1+86=87"
] | Current State: 87:[75, 32, 2, 1], Operations: []
Exploring Operation: 75-32=43, Resulting Numbers: [2, 1, 43]
Generated Node #2: [2, 1, 43] from Operation: 75-32=43
Current State: 87:[2, 1, 43], Operations: ['75-32=43']
Exploring Operation: 2*43=86, Resulting Numbers: [1, 86]
Generated Node #3: [1, 86] from Operation: 2*43=86
Current State: 87:[1, 86], Operations: ['75-32=43', '2*43=86']
Exploring Operation: 1+86=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
3,
16,
53,
36
] | 57 | [
"36/3=12",
"16+53=69",
"69-12=57"
] | Current State: 57:[3, 16, 53, 36], Operations: []
Exploring Operation: 36/3=12, Resulting Numbers: [16, 53, 12]
Generated Node #2: [16, 53, 12] from Operation: 36/3=12
Current State: 57:[16, 53, 12], Operations: ['36/3=12']
Exploring Operation: 16+53=69, Resulting Numbers: [12, 69]
Generated Node #3: [12, 69] from Operation: 16+53=69
Current State: 57:[12, 69], Operations: ['36/3=12', '16+53=69']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
21,
6,
2,
80
] | 47 | [
"80-21=59",
"6*2=12",
"59-12=47"
] | Current State: 47:[21, 6, 2, 80], Operations: []
Exploring Operation: 80-21=59, Resulting Numbers: [6, 2, 59]
Generated Node #2: [6, 2, 59] from Operation: 80-21=59
Current State: 47:[6, 2, 59], Operations: ['80-21=59']
Exploring Operation: 6*2=12, Resulting Numbers: [59, 12]
Generated Node #3: [59, 12] from Operation: 6*2=12
Current State: 47:[59, 12], Operations: ['80-21=59', '6*2=12']
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
9,
35,
17,
4
] | 24 | [
"9+35=44",
"17*4=68",
"68-44=24"
] | Current State: 24:[9, 35, 17, 4], Operations: []
Exploring Operation: 9+35=44, Resulting Numbers: [17, 4, 44]
Generated Node #2: [17, 4, 44] from Operation: 9+35=44
Current State: 24:[17, 4, 44], Operations: ['9+35=44']
Exploring Operation: 17*4=68, Resulting Numbers: [44, 68]
Generated Node #3: [44, 68] from Operation: 17*4=68
Current State: 24:[44, 68], Operations: ['9+35=44', '17*4=68']
Exploring Operation: 68-44=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
23,
50,
13,
65
] | 21 | [
"23+50=73",
"65-13=52",
"73-52=21"
] | Current State: 21:[23, 50, 13, 65], Operations: []
Exploring Operation: 23+50=73, Resulting Numbers: [13, 65, 73]
Generated Node #2: [13, 65, 73] from Operation: 23+50=73
Current State: 21:[13, 65, 73], Operations: ['23+50=73']
Exploring Operation: 65-13=52, Resulting Numbers: [73, 52]
Generated Node #3: [73, 52] from Operation: 65-13=52
Current State: 21:[73, 52], Operations: ['23+50=73', '65-13=52']
Exploring Operation: 73-52=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
22,
35,
26,
9
] | 52 | [
"35+9=44",
"44/22=2",
"26*2=52"
] | Current State: 52:[22, 35, 26, 9], Operations: []
Exploring Operation: 35+9=44, Resulting Numbers: [22, 26, 44]
Generated Node #2: [22, 26, 44] from Operation: 35+9=44
Current State: 52:[22, 26, 44], Operations: ['35+9=44']
Exploring Operation: 44/22=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 44/22=2
Current State: 52:[26, 2], Operations: ['35+9=44', '44/22=2']
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
32,
12,
2,
50
] | 46 | [
"32/2=16",
"12+50=62",
"62-16=46"
] | Current State: 46:[32, 12, 2, 50], Operations: []
Exploring Operation: 32/2=16, Resulting Numbers: [12, 50, 16]
Generated Node #2: [12, 50, 16] from Operation: 32/2=16
Current State: 46:[12, 50, 16], Operations: ['32/2=16']
Exploring Operation: 12+50=62, Resulting Numbers: [16, 62]
Generated Node #3: [16, 62] from Operation: 12+50=62
Current State: 46:[16, 62], Operations: ['32/2=16', '12+50=62']
Exploring Operation: 62-16=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
45,
45,
12,
18
] | 75 | [
"45*12=540",
"540/18=30",
"45+30=75"
] | Current State: 75:[45, 45, 12, 18], Operations: []
Exploring Operation: 45*12=540, Resulting Numbers: [18, 540]
Generated Node #2: [18, 540] from Operation: 45*12=540
Current State: 75:[18, 540], Operations: ['45*12=540']
Exploring Operation: 540/18=30, Resulting Numbers: [30]
30,75 equal: Goal Reached
Exploring Operation: 45+30=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
5,
8,
61,
42
] | 90 | [
"5+8=13",
"61+42=103",
"103-13=90"
] | Current State: 90:[5, 8, 61, 42], Operations: []
Exploring Operation: 5+8=13, Resulting Numbers: [61, 42, 13]
Generated Node #2: [61, 42, 13] from Operation: 5+8=13
Current State: 90:[61, 42, 13], Operations: ['5+8=13']
Exploring Operation: 61+42=103, Resulting Numbers: [13, 103]
Generated Node #3: [13, 103] from Operation: 61+42=103
Current State: 90:[13, 103], Operations: ['5+8=13', '61+42=103']
Exploring Operation: 103-13=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
10,
58,
6,
6
] | 12 | [
"58-10=48",
"6*6=36",
"48-36=12"
] | Current State: 12:[10, 58, 6, 6], Operations: []
Exploring Operation: 58-10=48, Resulting Numbers: [6, 6, 48]
Generated Node #2: [6, 6, 48] from Operation: 58-10=48
Current State: 12:[6, 6, 48], Operations: ['58-10=48']
Exploring Operation: 6*6=36, Resulting Numbers: [48, 36]
Generated Node #3: [48, 36] from Operation: 6*6=36
Current State: 12:[48, 36], Operations: ['58-10=48', '6*6=36']
Exploring Operation: 48-36=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
43,
68,
7,
79
] | 25 | [
"43+68=111",
"7+79=86",
"111-86=25"
] | Current State: 25:[43, 68, 7, 79], Operations: []
Exploring Operation: 43+68=111, Resulting Numbers: [7, 79, 111]
Generated Node #2: [7, 79, 111] from Operation: 43+68=111
Current State: 25:[7, 79, 111], Operations: ['43+68=111']
Exploring Operation: 7+79=86, Resulting Numbers: [111, 86]
Generated Node #3: [111, 86] from Operation: 7+79=86
Current State: 25:[111, 86], Operations: ['43+68=111', '7+79=86']
Exploring Operation: 111-86=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
48,
70,
31,
10
] | 45 | [
"70*31=2170",
"2170-10=2160",
"2160/48=45"
] | Current State: 45:[48, 70, 31, 10], Operations: []
Exploring Operation: 70*31=2170, Resulting Numbers: [48, 10, 2170]
Generated Node #2: [48, 10, 2170] from Operation: 70*31=2170
Current State: 45:[48, 10, 2170], Operations: ['70*31=2170']
Exploring Operation: 2170-10=2160, Resulting Numbers: [48, 2160]
Generated Node #3: [48, 2160] from Operation: 2170-10=2160
Current State: 45:[48, 2160], Operations: ['70*31=2170', '2170-10=2160']
Exploring Operation: 2160/48=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
96,
91,
52,
2
] | 62 | [
"96-91=5",
"2*5=10",
"52+10=62"
] | Current State: 62:[96, 91, 52, 2], Operations: []
Exploring Operation: 96-91=5, Resulting Numbers: [52, 2, 5]
Generated Node #2: [52, 2, 5] from Operation: 96-91=5
Current State: 62:[52, 2, 5], Operations: ['96-91=5']
Exploring Operation: 2*5=10, Resulting Numbers: [52, 10]
Generated Node #3: [52, 10] from Operation: 2*5=10
Current State: 62:[52, 10], Operations: ['96-91=5', '2*5=10']
Exploring Operation: 52+10=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
70,
38,
46,
72
] | 69 | [
"70+38=108",
"46*108=4968",
"4968/72=69"
] | Current State: 69:[70, 38, 46, 72], Operations: []
Exploring Operation: 70+38=108, Resulting Numbers: [46, 72, 108]
Generated Node #2: [46, 72, 108] from Operation: 70+38=108
Current State: 69:[46, 72, 108], Operations: ['70+38=108']
Exploring Operation: 46*108=4968, Resulting Numbers: [72, 4968]
Generated Node #3: [72, 4968] from Operation: 46*108=4968
Current State: 69:[72, 4968], Operations: ['70+38=108', '46*108=4968']
Exploring Operation: 4968/72=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
61,
2,
78,
31
] | 16 | [
"61+2=63",
"78-31=47",
"63-47=16"
] | Current State: 16:[61, 2, 78, 31], Operations: []
Exploring Operation: 61+2=63, Resulting Numbers: [78, 31, 63]
Generated Node #2: [78, 31, 63] from Operation: 61+2=63
Current State: 16:[78, 31, 63], Operations: ['61+2=63']
Exploring Operation: 78-31=47, Resulting Numbers: [63, 47]
Generated Node #3: [63, 47] from Operation: 78-31=47
Current State: 16:[63, 47], Operations: ['61+2=63', '78-31=47']
Exploring Operation: 63-47=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
6,
56,
17,
10
] | 19 | [
"17*10=170",
"170-56=114",
"114/6=19"
] | Current State: 19:[6, 56, 17, 10], Operations: []
Exploring Operation: 17*10=170, Resulting Numbers: [6, 56, 170]
Generated Node #2: [6, 56, 170] from Operation: 17*10=170
Current State: 19:[6, 56, 170], Operations: ['17*10=170']
Exploring Operation: 170-56=114, Resulting Numbers: [6, 114]
Generated Node #3: [6, 114] from Operation: 170-56=114
Current State: 19:[6, 114], Operations: ['17*10=170', '170-56=114']
Exploring Operation: 114/6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
95,
15,
83,
57
] | 74 | [
"15*57=855",
"855/95=9",
"83-9=74"
] | Current State: 74:[95, 15, 83, 57], Operations: []
Exploring Operation: 15*57=855, Resulting Numbers: [95, 83, 855]
Generated Node #2: [95, 83, 855] from Operation: 15*57=855
Current State: 74:[95, 83, 855], Operations: ['15*57=855']
Exploring Operation: 855/95=9, Resulting Numbers: [83, 9]
Generated Node #3: [83, 9] from Operation: 855/95=9
Current State: 74:[83, 9], Operations: ['15*57=855', '855/95=9']
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
60,
70,
69,
24
] | 97 | [
"70*24=1680",
"1680/60=28",
"69+28=97"
] | Current State: 97:[60, 70, 69, 24], Operations: []
Exploring Operation: 70*24=1680, Resulting Numbers: [60, 69, 1680]
Generated Node #2: [60, 69, 1680] from Operation: 70*24=1680
Current State: 97:[60, 69, 1680], Operations: ['70*24=1680']
Exploring Operation: 1680/60=28, Resulting Numbers: [69, 28]
Generated Node #3: [69, 28] from Operation: 1680/60=28
Current State: 97:[69, 28], Operations: ['70*24=1680', '1680/60=28']
Exploring Operation: 69+28=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
71,
82,
94,
63
] | 20 | [
"82-71=11",
"94-63=31",
"31-11=20"
] | Current State: 20:[71, 82, 94, 63], Operations: []
Exploring Operation: 82-71=11, Resulting Numbers: [94, 63, 11]
Generated Node #2: [94, 63, 11] from Operation: 82-71=11
Current State: 20:[94, 63, 11], Operations: ['82-71=11']
Exploring Operation: 94-63=31, Resulting Numbers: [11, 31]
Generated Node #3: [11, 31] from Operation: 94-63=31
Current State: 20:[11, 31], Operations: ['82-71=11', '94-63=31']
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
77,
97,
28,
11
] | 62 | [
"77/11=7",
"97-28=69",
"69-7=62"
] | Current State: 62:[77, 97, 28, 11], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [97, 28, 7]
Generated Node #2: [97, 28, 7] from Operation: 77/11=7
Current State: 62:[97, 28, 7], Operations: ['77/11=7']
Exploring Operation: 97-28=69, Resulting Numbers: [7, 69]
Generated Node #3: [7, 69] from Operation: 97-28=69
Current State: 62:[7, 69], Operations: ['77/11=7', '97-28=69']
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
11,
56,
55,
47
] | 59 | [
"11+56=67",
"55-47=8",
"67-8=59"
] | Current State: 59:[11, 56, 55, 47], Operations: []
Exploring Operation: 11+56=67, Resulting Numbers: [55, 47, 67]
Generated Node #2: [55, 47, 67] from Operation: 11+56=67
Current State: 59:[55, 47, 67], Operations: ['11+56=67']
Exploring Operation: 55-47=8, Resulting Numbers: [67, 8]
Generated Node #3: [67, 8] from Operation: 55-47=8
Current State: 59:[67, 8], Operations: ['11+56=67', '55-47=8']
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
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