nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
72,
42,
24,
82
] | 44 | [
"72*42=3024",
"3024/24=126",
"126-82=44"
] | Current State: 44:[72, 42, 24, 82], Operations: []
Exploring Operation: 72*42=3024, Resulting Numbers: [24, 82, 3024]
Generated Node #2: [24, 82, 3024] from Operation: 72*42=3024
Current State: 44:[24, 82, 3024], Operations: ['72*42=3024']
Exploring Operation: 3024/24=126, Resulting Numbers: [82, 126]
Generated Node #3: [82, 126] from Operation: 3024/24=126
Current State: 44:[82, 126], Operations: ['72*42=3024', '3024/24=126']
Exploring Operation: 126-82=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
19,
33,
2,
75
] | 15 | [
"19*2=38",
"38-33=5",
"75/5=15"
] | Current State: 15:[19, 33, 2, 75], Operations: []
Exploring Operation: 19*2=38, Resulting Numbers: [33, 75, 38]
Generated Node #2: [33, 75, 38] from Operation: 19*2=38
Current State: 15:[33, 75, 38], Operations: ['19*2=38']
Exploring Operation: 38-33=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 38-33=5
Current State: 15:[75, 5], Operations: ['19*2=38', '38-33=5']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
79,
24,
14,
4
] | 73 | [
"79-24=55",
"14+4=18",
"55+18=73"
] | Current State: 73:[79, 24, 14, 4], Operations: []
Exploring Operation: 79-24=55, Resulting Numbers: [14, 4, 55]
Generated Node #2: [14, 4, 55] from Operation: 79-24=55
Current State: 73:[14, 4, 55], Operations: ['79-24=55']
Exploring Operation: 14+4=18, Resulting Numbers: [55, 18]
Generated Node #3: [55, 18] from Operation: 14+4=18
Current State: 73:[55, 18], Operations: ['79-24=55', '14+4=18']
Exploring Operation: 55+18=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
21,
13,
7,
27
] | 36 | [
"27-21=6",
"13-7=6",
"6*6=36"
] | Current State: 36:[21, 13, 7, 27], Operations: []
Exploring Operation: 27-21=6, Resulting Numbers: [13, 7, 6]
Generated Node #2: [13, 7, 6] from Operation: 27-21=6
Current State: 36:[13, 7, 6], Operations: ['27-21=6']
Exploring Operation: 13-7=6, Resulting Numbers: [6, 6]
Generated Node #3: [6, 6] from Operation: 13-7=6
Current State: 36:[6, 6], Operations: ['27-21=6', '13-7=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
25,
45,
71,
34
] | 76 | [
"34-25=9",
"45/9=5",
"71+5=76"
] | Current State: 76:[25, 45, 71, 34], Operations: []
Exploring Operation: 34-25=9, Resulting Numbers: [45, 71, 9]
Generated Node #2: [45, 71, 9] from Operation: 34-25=9
Current State: 76:[45, 71, 9], Operations: ['34-25=9']
Exploring Operation: 45/9=5, Resulting Numbers: [71, 5]
Generated Node #3: [71, 5] from Operation: 45/9=5
Current State: 76:[71, 5], Operations: ['34-25=9', '45/9=5']
Exploring Operation: 71+5=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
80,
98,
70,
50
] | 94 | [
"70-50=20",
"80/20=4",
"98-4=94"
] | Current State: 94:[80, 98, 70, 50], Operations: []
Exploring Operation: 70-50=20, Resulting Numbers: [80, 98, 20]
Generated Node #2: [80, 98, 20] from Operation: 70-50=20
Current State: 94:[80, 98, 20], Operations: ['70-50=20']
Exploring Operation: 80/20=4, Resulting Numbers: [98, 4]
Generated Node #3: [98, 4] from Operation: 80/20=4
Current State: 94:[98, 4], Operations: ['70-50=20', '80/20=4']
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
49,
55,
95,
73
] | 80 | [
"55*73=4015",
"4015-95=3920",
"3920/49=80"
] | Current State: 80:[49, 55, 95, 73], Operations: []
Exploring Operation: 55*73=4015, Resulting Numbers: [49, 95, 4015]
Generated Node #2: [49, 95, 4015] from Operation: 55*73=4015
Current State: 80:[49, 95, 4015], Operations: ['55*73=4015']
Exploring Operation: 4015-95=3920, Resulting Numbers: [49, 3920]
Generated Node #3: [49, 3920] from Operation: 4015-95=3920
Current State: 80:[49, 3920], Operations: ['55*73=4015', '4015-95=3920']
Exploring Operation: 3920/49=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
9,
8,
33,
48
] | 39 | [
"8*48=384",
"384-33=351",
"351/9=39"
] | Current State: 39:[9, 8, 33, 48], Operations: []
Exploring Operation: 8*48=384, Resulting Numbers: [9, 33, 384]
Generated Node #2: [9, 33, 384] from Operation: 8*48=384
Current State: 39:[9, 33, 384], Operations: ['8*48=384']
Exploring Operation: 384-33=351, Resulting Numbers: [9, 351]
Generated Node #3: [9, 351] from Operation: 384-33=351
Current State: 39:[9, 351], Operations: ['8*48=384', '384-33=351']
Exploring Operation: 351/9=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
52,
77,
3,
90
] | 91 | [
"90-77=13",
"3*13=39",
"52+39=91"
] | Current State: 91:[52, 77, 3, 90], Operations: []
Exploring Operation: 90-77=13, Resulting Numbers: [52, 3, 13]
Generated Node #2: [52, 3, 13] from Operation: 90-77=13
Current State: 91:[52, 3, 13], Operations: ['90-77=13']
Exploring Operation: 3*13=39, Resulting Numbers: [52, 39]
Generated Node #3: [52, 39] from Operation: 3*13=39
Current State: 91:[52, 39], Operations: ['90-77=13', '3*13=39']
Exploring Operation: 52+39=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
77,
18,
2,
34
] | 45 | [
"34-18=16",
"2*16=32",
"77-32=45"
] | Current State: 45:[77, 18, 2, 34], Operations: []
Exploring Operation: 34-18=16, Resulting Numbers: [77, 2, 16]
Generated Node #2: [77, 2, 16] from Operation: 34-18=16
Current State: 45:[77, 2, 16], Operations: ['34-18=16']
Exploring Operation: 2*16=32, Resulting Numbers: [77, 32]
Generated Node #3: [77, 32] from Operation: 2*16=32
Current State: 45:[77, 32], Operations: ['34-18=16', '2*16=32']
Exploring Operation: 77-32=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
62,
34,
29,
73
] | 27 | [
"62+73=135",
"34-29=5",
"135/5=27"
] | Current State: 27:[62, 34, 29, 73], Operations: []
Exploring Operation: 62+73=135, Resulting Numbers: [34, 29, 135]
Generated Node #2: [34, 29, 135] from Operation: 62+73=135
Current State: 27:[34, 29, 135], Operations: ['62+73=135']
Exploring Operation: 34-29=5, Resulting Numbers: [135, 5]
Generated Node #3: [135, 5] from Operation: 34-29=5
Current State: 27:[135, 5], Operations: ['62+73=135', '34-29=5']
Exploring Operation: 135/5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
81,
3,
11,
48
] | 47 | [
"81+3=84",
"48-11=37",
"84-37=47"
] | Current State: 47:[81, 3, 11, 48], Operations: []
Exploring Operation: 81+3=84, Resulting Numbers: [11, 48, 84]
Generated Node #2: [11, 48, 84] from Operation: 81+3=84
Current State: 47:[11, 48, 84], Operations: ['81+3=84']
Exploring Operation: 48-11=37, Resulting Numbers: [84, 37]
Generated Node #3: [84, 37] from Operation: 48-11=37
Current State: 47:[84, 37], Operations: ['81+3=84', '48-11=37']
Exploring Operation: 84-37=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
55,
49,
12,
27
] | 90 | [
"55-49=6",
"27-12=15",
"6*15=90"
] | Current State: 90:[55, 49, 12, 27], Operations: []
Exploring Operation: 55-49=6, Resulting Numbers: [12, 27, 6]
Generated Node #2: [12, 27, 6] from Operation: 55-49=6
Current State: 90:[12, 27, 6], Operations: ['55-49=6']
Exploring Operation: 27-12=15, Resulting Numbers: [6, 15]
Generated Node #3: [6, 15] from Operation: 27-12=15
Current State: 90:[6, 15], Operations: ['55-49=6', '27-12=15']
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
30,
47,
18,
31
] | 30 | [
"47-30=17",
"31-18=13",
"17+13=30"
] | Current State: 30:[30, 47, 18, 31], Operations: []
Exploring Operation: 47-30=17, Resulting Numbers: [18, 31, 17]
Generated Node #2: [18, 31, 17] from Operation: 47-30=17
Current State: 30:[18, 31, 17], Operations: ['47-30=17']
Exploring Operation: 31-18=13, Resulting Numbers: [17, 13]
Generated Node #3: [17, 13] from Operation: 31-18=13
Current State: 30:[17, 13], Operations: ['47-30=17', '31-18=13']
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
29,
24,
96,
12
] | 45 | [
"29+24=53",
"96/12=8",
"53-8=45"
] | Current State: 45:[29, 24, 96, 12], Operations: []
Exploring Operation: 29+24=53, Resulting Numbers: [96, 12, 53]
Generated Node #2: [96, 12, 53] from Operation: 29+24=53
Current State: 45:[96, 12, 53], Operations: ['29+24=53']
Exploring Operation: 96/12=8, Resulting Numbers: [53, 8]
Generated Node #3: [53, 8] from Operation: 96/12=8
Current State: 45:[53, 8], Operations: ['29+24=53', '96/12=8']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
56,
44,
30,
66
] | 70 | [
"44-30=14",
"56/14=4",
"66+4=70"
] | Current State: 70:[56, 44, 30, 66], Operations: []
Exploring Operation: 44-30=14, Resulting Numbers: [56, 66, 14]
Generated Node #2: [56, 66, 14] from Operation: 44-30=14
Current State: 70:[56, 66, 14], Operations: ['44-30=14']
Exploring Operation: 56/14=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 56/14=4
Current State: 70:[66, 4], Operations: ['44-30=14', '56/14=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
23,
28,
62,
4
] | 15 | [
"23+28=51",
"62+4=66",
"66-51=15"
] | Current State: 15:[23, 28, 62, 4], Operations: []
Exploring Operation: 23+28=51, Resulting Numbers: [62, 4, 51]
Generated Node #2: [62, 4, 51] from Operation: 23+28=51
Current State: 15:[62, 4, 51], Operations: ['23+28=51']
Exploring Operation: 62+4=66, Resulting Numbers: [51, 66]
Generated Node #3: [51, 66] from Operation: 62+4=66
Current State: 15:[51, 66], Operations: ['23+28=51', '62+4=66']
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
80,
24,
34,
13
] | 70 | [
"34-13=21",
"80*21=1680",
"1680/24=70"
] | Current State: 70:[80, 24, 34, 13], Operations: []
Exploring Operation: 34-13=21, Resulting Numbers: [80, 24, 21]
Generated Node #2: [80, 24, 21] from Operation: 34-13=21
Current State: 70:[80, 24, 21], Operations: ['34-13=21']
Exploring Operation: 80*21=1680, Resulting Numbers: [24, 1680]
Generated Node #3: [24, 1680] from Operation: 80*21=1680
Current State: 70:[24, 1680], Operations: ['34-13=21', '80*21=1680']
Exploring Operation: 1680/24=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
31,
61,
1,
10
] | 82 | [
"31+61=92",
"1*10=10",
"92-10=82"
] | Current State: 82:[31, 61, 1, 10], Operations: []
Exploring Operation: 31+61=92, Resulting Numbers: [1, 10, 92]
Generated Node #2: [1, 10, 92] from Operation: 31+61=92
Current State: 82:[1, 10, 92], Operations: ['31+61=92']
Exploring Operation: 1*10=10, Resulting Numbers: [92, 10]
Generated Node #3: [92, 10] from Operation: 1*10=10
Current State: 82:[92, 10], Operations: ['31+61=92', '1*10=10']
Exploring Operation: 92-10=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
53,
58,
3,
19
] | 82 | [
"53*3=159",
"58+19=77",
"159-77=82"
] | Current State: 82:[53, 58, 3, 19], Operations: []
Exploring Operation: 53*3=159, Resulting Numbers: [58, 19, 159]
Generated Node #2: [58, 19, 159] from Operation: 53*3=159
Current State: 82:[58, 19, 159], Operations: ['53*3=159']
Exploring Operation: 58+19=77, Resulting Numbers: [159, 77]
Generated Node #3: [159, 77] from Operation: 58+19=77
Current State: 82:[159, 77], Operations: ['53*3=159', '58+19=77']
Exploring Operation: 159-77=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
93,
13,
69,
10
] | 54 | [
"93+69=162",
"13-10=3",
"162/3=54"
] | Current State: 54:[93, 13, 69, 10], Operations: []
Exploring Operation: 93+69=162, Resulting Numbers: [13, 10, 162]
Generated Node #2: [13, 10, 162] from Operation: 93+69=162
Current State: 54:[13, 10, 162], Operations: ['93+69=162']
Exploring Operation: 13-10=3, Resulting Numbers: [162, 3]
Generated Node #3: [162, 3] from Operation: 13-10=3
Current State: 54:[162, 3], Operations: ['93+69=162', '13-10=3']
Exploring Operation: 162/3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
38,
15,
66,
30
] | 43 | [
"38+15=53",
"66+30=96",
"96-53=43"
] | Current State: 43:[38, 15, 66, 30], Operations: []
Exploring Operation: 38+15=53, Resulting Numbers: [66, 30, 53]
Generated Node #2: [66, 30, 53] from Operation: 38+15=53
Current State: 43:[66, 30, 53], Operations: ['38+15=53']
Exploring Operation: 66+30=96, Resulting Numbers: [53, 96]
Generated Node #3: [53, 96] from Operation: 66+30=96
Current State: 43:[53, 96], Operations: ['38+15=53', '66+30=96']
Exploring Operation: 96-53=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
83,
31,
82,
73
] | 42 | [
"83-82=1",
"73-31=42",
"1*42=42"
] | Current State: 42:[83, 31, 82, 73], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [31, 73, 1]
Generated Node #2: [31, 73, 1] from Operation: 83-82=1
Current State: 42:[31, 73, 1], Operations: ['83-82=1']
Exploring Operation: 73-31=42, Resulting Numbers: [1, 42]
Generated Node #3: [1, 42] from Operation: 73-31=42
Current State: 42:[1, 42], Operations: ['83-82=1', '73-31=42']
Exploring Operation: 1*42=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
21,
52,
27,
2
] | 56 | [
"52-21=31",
"27-2=25",
"31+25=56"
] | Current State: 56:[21, 52, 27, 2], Operations: []
Exploring Operation: 52-21=31, Resulting Numbers: [27, 2, 31]
Generated Node #2: [27, 2, 31] from Operation: 52-21=31
Current State: 56:[27, 2, 31], Operations: ['52-21=31']
Exploring Operation: 27-2=25, Resulting Numbers: [31, 25]
Generated Node #3: [31, 25] from Operation: 27-2=25
Current State: 56:[31, 25], Operations: ['52-21=31', '27-2=25']
Exploring Operation: 31+25=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
93,
60,
89,
35
] | 100 | [
"93-89=4",
"60-35=25",
"4*25=100"
] | Current State: 100:[93, 60, 89, 35], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [60, 35, 4]
Generated Node #2: [60, 35, 4] from Operation: 93-89=4
Current State: 100:[60, 35, 4], Operations: ['93-89=4']
Exploring Operation: 60-35=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 60-35=25
Current State: 100:[4, 25], Operations: ['93-89=4', '60-35=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
22,
82,
98,
74
] | 41 | [
"98-22=76",
"76-74=2",
"82/2=41"
] | Current State: 41:[22, 82, 98, 74], Operations: []
Exploring Operation: 98-22=76, Resulting Numbers: [82, 74, 76]
Generated Node #2: [82, 74, 76] from Operation: 98-22=76
Current State: 41:[82, 74, 76], Operations: ['98-22=76']
Exploring Operation: 76-74=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 76-74=2
Current State: 41:[82, 2], Operations: ['98-22=76', '76-74=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
8,
78,
18,
71
] | 74 | [
"8+18=26",
"78/26=3",
"71+3=74"
] | Current State: 74:[8, 78, 18, 71], Operations: []
Exploring Operation: 8+18=26, Resulting Numbers: [78, 71, 26]
Generated Node #2: [78, 71, 26] from Operation: 8+18=26
Current State: 74:[78, 71, 26], Operations: ['8+18=26']
Exploring Operation: 78/26=3, Resulting Numbers: [71, 3]
Generated Node #3: [71, 3] from Operation: 78/26=3
Current State: 74:[71, 3], Operations: ['8+18=26', '78/26=3']
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
55,
82,
49,
27
] | 61 | [
"55+82=137",
"49+27=76",
"137-76=61"
] | Current State: 61:[55, 82, 49, 27], Operations: []
Exploring Operation: 55+82=137, Resulting Numbers: [49, 27, 137]
Generated Node #2: [49, 27, 137] from Operation: 55+82=137
Current State: 61:[49, 27, 137], Operations: ['55+82=137']
Exploring Operation: 49+27=76, Resulting Numbers: [137, 76]
Generated Node #3: [137, 76] from Operation: 49+27=76
Current State: 61:[137, 76], Operations: ['55+82=137', '49+27=76']
Exploring Operation: 137-76=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
9,
26,
7,
7
] | 86 | [
"9+7=16",
"7*16=112",
"112-26=86"
] | Current State: 86:[9, 26, 7, 7], Operations: []
Exploring Operation: 9+7=16, Resulting Numbers: [26, 16]
Generated Node #2: [26, 16] from Operation: 9+7=16
Current State: 86:[26, 16], Operations: ['9+7=16']
Exploring Operation: 7*16=112, Resulting Numbers: [26, 112]
Generated Node #3: [26, 112] from Operation: 7*16=112
Current State: 86:[26, 112], Operations: ['9+7=16', '7*16=112']
Exploring Operation: 112-26=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
23,
21,
75,
61
] | 68 | [
"23-21=2",
"75+61=136",
"136/2=68"
] | Current State: 68:[23, 21, 75, 61], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [75, 61, 2]
Generated Node #2: [75, 61, 2] from Operation: 23-21=2
Current State: 68:[75, 61, 2], Operations: ['23-21=2']
Exploring Operation: 75+61=136, Resulting Numbers: [2, 136]
Generated Node #3: [2, 136] from Operation: 75+61=136
Current State: 68:[2, 136], Operations: ['23-21=2', '75+61=136']
Exploring Operation: 136/2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
49,
78,
35,
33
] | 39 | [
"78-49=29",
"35+33=68",
"68-29=39"
] | Current State: 39:[49, 78, 35, 33], Operations: []
Exploring Operation: 78-49=29, Resulting Numbers: [35, 33, 29]
Generated Node #2: [35, 33, 29] from Operation: 78-49=29
Current State: 39:[35, 33, 29], Operations: ['78-49=29']
Exploring Operation: 35+33=68, Resulting Numbers: [29, 68]
Generated Node #3: [29, 68] from Operation: 35+33=68
Current State: 39:[29, 68], Operations: ['78-49=29', '35+33=68']
Exploring Operation: 68-29=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
16,
27,
21,
56
] | 12 | [
"16+56=72",
"27-21=6",
"72/6=12"
] | Current State: 12:[16, 27, 21, 56], Operations: []
Exploring Operation: 16+56=72, Resulting Numbers: [27, 21, 72]
Generated Node #2: [27, 21, 72] from Operation: 16+56=72
Current State: 12:[27, 21, 72], Operations: ['16+56=72']
Exploring Operation: 27-21=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 27-21=6
Current State: 12:[72, 6], Operations: ['16+56=72', '27-21=6']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
91,
86,
13,
43
] | 35 | [
"91-86=5",
"43-13=30",
"5+30=35"
] | Current State: 35:[91, 86, 13, 43], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [13, 43, 5]
Generated Node #2: [13, 43, 5] from Operation: 91-86=5
Current State: 35:[13, 43, 5], Operations: ['91-86=5']
Exploring Operation: 43-13=30, Resulting Numbers: [5, 30]
Generated Node #3: [5, 30] from Operation: 43-13=30
Current State: 35:[5, 30], Operations: ['91-86=5', '43-13=30']
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
68,
78,
4,
94
] | 21 | [
"78-68=10",
"94-10=84",
"84/4=21"
] | Current State: 21:[68, 78, 4, 94], Operations: []
Exploring Operation: 78-68=10, Resulting Numbers: [4, 94, 10]
Generated Node #2: [4, 94, 10] from Operation: 78-68=10
Current State: 21:[4, 94, 10], Operations: ['78-68=10']
Exploring Operation: 94-10=84, Resulting Numbers: [4, 84]
Generated Node #3: [4, 84] from Operation: 94-10=84
Current State: 21:[4, 84], Operations: ['78-68=10', '94-10=84']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
18,
28,
28,
36
] | 63 | [
"18*28=504",
"36-28=8",
"504/8=63"
] | Current State: 63:[18, 28, 28, 36], Operations: []
Exploring Operation: 18*28=504, Resulting Numbers: [36, 504]
Generated Node #2: [36, 504] from Operation: 18*28=504
Current State: 63:[36, 504], Operations: ['18*28=504']
Exploring Operation: 36-28=8, Resulting Numbers: [504, 8]
Generated Node #3: [504, 8] from Operation: 36-28=8
Current State: 63:[504, 8], Operations: ['18*28=504', '36-28=8']
Exploring Operation: 504/8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
44,
22,
1,
17
] | 48 | [
"44+22=66",
"1+17=18",
"66-18=48"
] | Current State: 48:[44, 22, 1, 17], Operations: []
Exploring Operation: 44+22=66, Resulting Numbers: [1, 17, 66]
Generated Node #2: [1, 17, 66] from Operation: 44+22=66
Current State: 48:[1, 17, 66], Operations: ['44+22=66']
Exploring Operation: 1+17=18, Resulting Numbers: [66, 18]
Generated Node #3: [66, 18] from Operation: 1+17=18
Current State: 48:[66, 18], Operations: ['44+22=66', '1+17=18']
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
91,
77,
29,
16
] | 27 | [
"91-77=14",
"29-16=13",
"14+13=27"
] | Current State: 27:[91, 77, 29, 16], Operations: []
Exploring Operation: 91-77=14, Resulting Numbers: [29, 16, 14]
Generated Node #2: [29, 16, 14] from Operation: 91-77=14
Current State: 27:[29, 16, 14], Operations: ['91-77=14']
Exploring Operation: 29-16=13, Resulting Numbers: [14, 13]
Generated Node #3: [14, 13] from Operation: 29-16=13
Current State: 27:[14, 13], Operations: ['91-77=14', '29-16=13']
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
89,
57,
52,
33
] | 51 | [
"89-57=32",
"52-33=19",
"32+19=51"
] | Current State: 51:[89, 57, 52, 33], Operations: []
Exploring Operation: 89-57=32, Resulting Numbers: [52, 33, 32]
Generated Node #2: [52, 33, 32] from Operation: 89-57=32
Current State: 51:[52, 33, 32], Operations: ['89-57=32']
Exploring Operation: 52-33=19, Resulting Numbers: [32, 19]
Generated Node #3: [32, 19] from Operation: 52-33=19
Current State: 51:[32, 19], Operations: ['89-57=32', '52-33=19']
Exploring Operation: 32+19=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
12,
13,
36,
66
] | 77 | [
"12+13=25",
"36+66=102",
"102-25=77"
] | Current State: 77:[12, 13, 36, 66], Operations: []
Exploring Operation: 12+13=25, Resulting Numbers: [36, 66, 25]
Generated Node #2: [36, 66, 25] from Operation: 12+13=25
Current State: 77:[36, 66, 25], Operations: ['12+13=25']
Exploring Operation: 36+66=102, Resulting Numbers: [25, 102]
Generated Node #3: [25, 102] from Operation: 36+66=102
Current State: 77:[25, 102], Operations: ['12+13=25', '36+66=102']
Exploring Operation: 102-25=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
82,
50,
8,
41
] | 81 | [
"82-50=32",
"8+41=49",
"32+49=81"
] | Current State: 81:[82, 50, 8, 41], Operations: []
Exploring Operation: 82-50=32, Resulting Numbers: [8, 41, 32]
Generated Node #2: [8, 41, 32] from Operation: 82-50=32
Current State: 81:[8, 41, 32], Operations: ['82-50=32']
Exploring Operation: 8+41=49, Resulting Numbers: [32, 49]
Generated Node #3: [32, 49] from Operation: 8+41=49
Current State: 81:[32, 49], Operations: ['82-50=32', '8+41=49']
Exploring Operation: 32+49=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
96,
43,
5,
23
] | 71 | [
"96-43=53",
"23-5=18",
"53+18=71"
] | Current State: 71:[96, 43, 5, 23], Operations: []
Exploring Operation: 96-43=53, Resulting Numbers: [5, 23, 53]
Generated Node #2: [5, 23, 53] from Operation: 96-43=53
Current State: 71:[5, 23, 53], Operations: ['96-43=53']
Exploring Operation: 23-5=18, Resulting Numbers: [53, 18]
Generated Node #3: [53, 18] from Operation: 23-5=18
Current State: 71:[53, 18], Operations: ['96-43=53', '23-5=18']
Exploring Operation: 53+18=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
97,
14,
23,
31
] | 57 | [
"97+14=111",
"23+31=54",
"111-54=57"
] | Current State: 57:[97, 14, 23, 31], Operations: []
Exploring Operation: 97+14=111, Resulting Numbers: [23, 31, 111]
Generated Node #2: [23, 31, 111] from Operation: 97+14=111
Current State: 57:[23, 31, 111], Operations: ['97+14=111']
Exploring Operation: 23+31=54, Resulting Numbers: [111, 54]
Generated Node #3: [111, 54] from Operation: 23+31=54
Current State: 57:[111, 54], Operations: ['97+14=111', '23+31=54']
Exploring Operation: 111-54=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
29,
90,
26,
20
] | 67 | [
"90-29=61",
"26-20=6",
"61+6=67"
] | Current State: 67:[29, 90, 26, 20], Operations: []
Exploring Operation: 90-29=61, Resulting Numbers: [26, 20, 61]
Generated Node #2: [26, 20, 61] from Operation: 90-29=61
Current State: 67:[26, 20, 61], Operations: ['90-29=61']
Exploring Operation: 26-20=6, Resulting Numbers: [61, 6]
Generated Node #3: [61, 6] from Operation: 26-20=6
Current State: 67:[61, 6], Operations: ['90-29=61', '26-20=6']
Exploring Operation: 61+6=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
63,
32,
52,
83
] | 68 | [
"52*83=4316",
"4316-32=4284",
"4284/63=68"
] | Current State: 68:[63, 32, 52, 83], Operations: []
Exploring Operation: 52*83=4316, Resulting Numbers: [63, 32, 4316]
Generated Node #2: [63, 32, 4316] from Operation: 52*83=4316
Current State: 68:[63, 32, 4316], Operations: ['52*83=4316']
Exploring Operation: 4316-32=4284, Resulting Numbers: [63, 4284]
Generated Node #3: [63, 4284] from Operation: 4316-32=4284
Current State: 68:[63, 4284], Operations: ['52*83=4316', '4316-32=4284']
Exploring Operation: 4284/63=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
60,
69,
87,
99
] | 89 | [
"99-69=30",
"60/30=2",
"87+2=89"
] | Current State: 89:[60, 69, 87, 99], Operations: []
Exploring Operation: 99-69=30, Resulting Numbers: [60, 87, 30]
Generated Node #2: [60, 87, 30] from Operation: 99-69=30
Current State: 89:[60, 87, 30], Operations: ['99-69=30']
Exploring Operation: 60/30=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 60/30=2
Current State: 89:[87, 2], Operations: ['99-69=30', '60/30=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
32,
69,
43,
8
] | 72 | [
"69-32=37",
"43-8=35",
"37+35=72"
] | Current State: 72:[32, 69, 43, 8], Operations: []
Exploring Operation: 69-32=37, Resulting Numbers: [43, 8, 37]
Generated Node #2: [43, 8, 37] from Operation: 69-32=37
Current State: 72:[43, 8, 37], Operations: ['69-32=37']
Exploring Operation: 43-8=35, Resulting Numbers: [37, 35]
Generated Node #3: [37, 35] from Operation: 43-8=35
Current State: 72:[37, 35], Operations: ['69-32=37', '43-8=35']
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
55,
44,
3,
78
] | 37 | [
"55-44=11",
"78/3=26",
"11+26=37"
] | Current State: 37:[55, 44, 3, 78], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [3, 78, 11]
Generated Node #2: [3, 78, 11] from Operation: 55-44=11
Current State: 37:[3, 78, 11], Operations: ['55-44=11']
Exploring Operation: 78/3=26, Resulting Numbers: [11, 26]
Generated Node #3: [11, 26] from Operation: 78/3=26
Current State: 37:[11, 26], Operations: ['55-44=11', '78/3=26']
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
2,
91,
86,
21
] | 37 | [
"2*21=42",
"91-86=5",
"42-5=37"
] | Current State: 37:[2, 91, 86, 21], Operations: []
Exploring Operation: 2*21=42, Resulting Numbers: [91, 86, 42]
Generated Node #2: [91, 86, 42] from Operation: 2*21=42
Current State: 37:[91, 86, 42], Operations: ['2*21=42']
Exploring Operation: 91-86=5, Resulting Numbers: [42, 5]
Generated Node #3: [42, 5] from Operation: 91-86=5
Current State: 37:[42, 5], Operations: ['2*21=42', '91-86=5']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
75,
34,
85,
71
] | 10 | [
"75-71=4",
"85*4=340",
"340/34=10"
] | Current State: 10:[75, 34, 85, 71], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [34, 85, 4]
Generated Node #2: [34, 85, 4] from Operation: 75-71=4
Current State: 10:[34, 85, 4], Operations: ['75-71=4']
Exploring Operation: 85*4=340, Resulting Numbers: [34, 340]
Generated Node #3: [34, 340] from Operation: 85*4=340
Current State: 10:[34, 340], Operations: ['75-71=4', '85*4=340']
Exploring Operation: 340/34=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
84,
17,
2,
15
] | 58 | [
"84+17=101",
"15+101=116",
"116/2=58"
] | Current State: 58:[84, 17, 2, 15], Operations: []
Exploring Operation: 84+17=101, Resulting Numbers: [2, 15, 101]
Generated Node #2: [2, 15, 101] from Operation: 84+17=101
Current State: 58:[2, 15, 101], Operations: ['84+17=101']
Exploring Operation: 15+101=116, Resulting Numbers: [2, 116]
Generated Node #3: [2, 116] from Operation: 15+101=116
Current State: 58:[2, 116], Operations: ['84+17=101', '15+101=116']
Exploring Operation: 116/2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
42,
42,
21,
55
] | 21 | [
"42-42=0",
"55*0=0",
"21+0=21"
] | Current State: 21:[42, 42, 21, 55], Operations: []
Exploring Operation: 42-42=0, Resulting Numbers: [21, 55, 0]
Generated Node #2: [21, 55, 0] from Operation: 42-42=0
Current State: 21:[21, 55, 0], Operations: ['42-42=0']
Exploring Operation: 55*0=0, Resulting Numbers: [21, 0]
Generated Node #3: [21, 0] from Operation: 55*0=0
Current State: 21:[21, 0], Operations: ['42-42=0', '55*0=0']
Exploring Operation: 21+0=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
97,
2,
27,
52
] | 95 | [
"97+52=149",
"2*27=54",
"149-54=95"
] | Current State: 95:[97, 2, 27, 52], Operations: []
Exploring Operation: 97+52=149, Resulting Numbers: [2, 27, 149]
Generated Node #2: [2, 27, 149] from Operation: 97+52=149
Current State: 95:[2, 27, 149], Operations: ['97+52=149']
Exploring Operation: 2*27=54, Resulting Numbers: [149, 54]
Generated Node #3: [149, 54] from Operation: 2*27=54
Current State: 95:[149, 54], Operations: ['97+52=149', '2*27=54']
Exploring Operation: 149-54=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
4,
47,
71,
9
] | 67 | [
"71+9=80",
"80/4=20",
"47+20=67"
] | Current State: 67:[4, 47, 71, 9], Operations: []
Exploring Operation: 71+9=80, Resulting Numbers: [4, 47, 80]
Generated Node #2: [4, 47, 80] from Operation: 71+9=80
Current State: 67:[4, 47, 80], Operations: ['71+9=80']
Exploring Operation: 80/4=20, Resulting Numbers: [47, 20]
Generated Node #3: [47, 20] from Operation: 80/4=20
Current State: 67:[47, 20], Operations: ['71+9=80', '80/4=20']
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
54,
57,
48,
41
] | 18 | [
"57-41=16",
"54*16=864",
"864/48=18"
] | Current State: 18:[54, 57, 48, 41], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [54, 48, 16]
Generated Node #2: [54, 48, 16] from Operation: 57-41=16
Current State: 18:[54, 48, 16], Operations: ['57-41=16']
Exploring Operation: 54*16=864, Resulting Numbers: [48, 864]
Generated Node #3: [48, 864] from Operation: 54*16=864
Current State: 18:[48, 864], Operations: ['57-41=16', '54*16=864']
Exploring Operation: 864/48=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
63,
34,
16,
33
] | 48 | [
"63+34=97",
"16+33=49",
"97-49=48"
] | Current State: 48:[63, 34, 16, 33], Operations: []
Exploring Operation: 63+34=97, Resulting Numbers: [16, 33, 97]
Generated Node #2: [16, 33, 97] from Operation: 63+34=97
Current State: 48:[16, 33, 97], Operations: ['63+34=97']
Exploring Operation: 16+33=49, Resulting Numbers: [97, 49]
Generated Node #3: [97, 49] from Operation: 16+33=49
Current State: 48:[97, 49], Operations: ['63+34=97', '16+33=49']
Exploring Operation: 97-49=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
77,
31,
61,
12
] | 27 | [
"77-31=46",
"61+12=73",
"73-46=27"
] | Current State: 27:[77, 31, 61, 12], Operations: []
Exploring Operation: 77-31=46, Resulting Numbers: [61, 12, 46]
Generated Node #2: [61, 12, 46] from Operation: 77-31=46
Current State: 27:[61, 12, 46], Operations: ['77-31=46']
Exploring Operation: 61+12=73, Resulting Numbers: [46, 73]
Generated Node #3: [46, 73] from Operation: 61+12=73
Current State: 27:[46, 73], Operations: ['77-31=46', '61+12=73']
Exploring Operation: 73-46=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
38,
71,
3,
95
] | 65 | [
"71-38=33",
"3+95=98",
"98-33=65"
] | Current State: 65:[38, 71, 3, 95], Operations: []
Exploring Operation: 71-38=33, Resulting Numbers: [3, 95, 33]
Generated Node #2: [3, 95, 33] from Operation: 71-38=33
Current State: 65:[3, 95, 33], Operations: ['71-38=33']
Exploring Operation: 3+95=98, Resulting Numbers: [33, 98]
Generated Node #3: [33, 98] from Operation: 3+95=98
Current State: 65:[33, 98], Operations: ['71-38=33', '3+95=98']
Exploring Operation: 98-33=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
12,
42,
5,
62
] | 16 | [
"62-42=20",
"20/5=4",
"12+4=16"
] | Current State: 16:[12, 42, 5, 62], Operations: []
Exploring Operation: 62-42=20, Resulting Numbers: [12, 5, 20]
Generated Node #2: [12, 5, 20] from Operation: 62-42=20
Current State: 16:[12, 5, 20], Operations: ['62-42=20']
Exploring Operation: 20/5=4, Resulting Numbers: [12, 4]
Generated Node #3: [12, 4] from Operation: 20/5=4
Current State: 16:[12, 4], Operations: ['62-42=20', '20/5=4']
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
15,
13,
10,
32
] | 91 | [
"15+10=25",
"32-25=7",
"13*7=91"
] | Current State: 91:[15, 13, 10, 32], Operations: []
Exploring Operation: 15+10=25, Resulting Numbers: [13, 32, 25]
Generated Node #2: [13, 32, 25] from Operation: 15+10=25
Current State: 91:[13, 32, 25], Operations: ['15+10=25']
Exploring Operation: 32-25=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 32-25=7
Current State: 91:[13, 7], Operations: ['15+10=25', '32-25=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
17,
56,
70,
56
] | 70 | [
"56-56=0",
"17*0=0",
"70+0=70"
] | Current State: 70:[17, 56, 70, 56], Operations: []
Exploring Operation: 56-56=0, Resulting Numbers: [17, 70, 0]
Generated Node #2: [17, 70, 0] from Operation: 56-56=0
Current State: 70:[17, 70, 0], Operations: ['56-56=0']
Exploring Operation: 17*0=0, Resulting Numbers: [70, 0]
Generated Node #3: [70, 0] from Operation: 17*0=0
Current State: 70:[70, 0], Operations: ['56-56=0', '17*0=0']
Exploring Operation: 70+0=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
90,
10,
78,
8
] | 86 | [
"90-78=12",
"8*12=96",
"96-10=86"
] | Current State: 86:[90, 10, 78, 8], Operations: []
Exploring Operation: 90-78=12, Resulting Numbers: [10, 8, 12]
Generated Node #2: [10, 8, 12] from Operation: 90-78=12
Current State: 86:[10, 8, 12], Operations: ['90-78=12']
Exploring Operation: 8*12=96, Resulting Numbers: [10, 96]
Generated Node #3: [10, 96] from Operation: 8*12=96
Current State: 86:[10, 96], Operations: ['90-78=12', '8*12=96']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
26,
3,
7,
12
] | 23 | [
"26+7=33",
"33/3=11",
"12+11=23"
] | Current State: 23:[26, 3, 7, 12], Operations: []
Exploring Operation: 26+7=33, Resulting Numbers: [3, 12, 33]
Generated Node #2: [3, 12, 33] from Operation: 26+7=33
Current State: 23:[3, 12, 33], Operations: ['26+7=33']
Exploring Operation: 33/3=11, Resulting Numbers: [12, 11]
Generated Node #3: [12, 11] from Operation: 33/3=11
Current State: 23:[12, 11], Operations: ['26+7=33', '33/3=11']
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
61,
32,
75,
76
] | 93 | [
"61+32=93",
"76-75=1",
"93*1=93"
] | Current State: 93:[61, 32, 75, 76], Operations: []
Exploring Operation: 61+32=93, Resulting Numbers: [75, 76, 93]
Generated Node #2: [75, 76, 93] from Operation: 61+32=93
Current State: 93:[75, 76, 93], Operations: ['61+32=93']
Exploring Operation: 76-75=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 76-75=1
Current State: 93:[93, 1], Operations: ['61+32=93', '76-75=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
21,
64,
85,
97
] | 73 | [
"21+64=85",
"97-85=12",
"85-12=73"
] | Current State: 73:[21, 64, 85, 97], Operations: []
Exploring Operation: 21+64=85, Resulting Numbers: [85, 97, 85]
Generated Node #2: [85, 97, 85] from Operation: 21+64=85
Current State: 73:[85, 97, 85], Operations: ['21+64=85']
Exploring Operation: 97-85=12, Resulting Numbers: [12]
12,73 equal: Goal Reached
Exploring Operation: 85-12=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
9,
50,
26,
22
] | 34 | [
"50+22=72",
"72/9=8",
"26+8=34"
] | Current State: 34:[9, 50, 26, 22], Operations: []
Exploring Operation: 50+22=72, Resulting Numbers: [9, 26, 72]
Generated Node #2: [9, 26, 72] from Operation: 50+22=72
Current State: 34:[9, 26, 72], Operations: ['50+22=72']
Exploring Operation: 72/9=8, Resulting Numbers: [26, 8]
Generated Node #3: [26, 8] from Operation: 72/9=8
Current State: 34:[26, 8], Operations: ['50+22=72', '72/9=8']
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
68,
62,
66,
64
] | 70 | [
"62+66=128",
"128/64=2",
"68+2=70"
] | Current State: 70:[68, 62, 66, 64], Operations: []
Exploring Operation: 62+66=128, Resulting Numbers: [68, 64, 128]
Generated Node #2: [68, 64, 128] from Operation: 62+66=128
Current State: 70:[68, 64, 128], Operations: ['62+66=128']
Exploring Operation: 128/64=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 128/64=2
Current State: 70:[68, 2], Operations: ['62+66=128', '128/64=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
24,
12,
67,
36
] | 49 | [
"24/12=2",
"36/2=18",
"67-18=49"
] | Current State: 49:[24, 12, 67, 36], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [67, 36, 2]
Generated Node #2: [67, 36, 2] from Operation: 24/12=2
Current State: 49:[67, 36, 2], Operations: ['24/12=2']
Exploring Operation: 36/2=18, Resulting Numbers: [67, 18]
Generated Node #3: [67, 18] from Operation: 36/2=18
Current State: 49:[67, 18], Operations: ['24/12=2', '36/2=18']
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
18,
20,
45,
67
] | 59 | [
"18*20=360",
"360/45=8",
"67-8=59"
] | Current State: 59:[18, 20, 45, 67], Operations: []
Exploring Operation: 18*20=360, Resulting Numbers: [45, 67, 360]
Generated Node #2: [45, 67, 360] from Operation: 18*20=360
Current State: 59:[45, 67, 360], Operations: ['18*20=360']
Exploring Operation: 360/45=8, Resulting Numbers: [67, 8]
Generated Node #3: [67, 8] from Operation: 360/45=8
Current State: 59:[67, 8], Operations: ['18*20=360', '360/45=8']
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
57,
63,
67,
11
] | 64 | [
"57+63=120",
"67-11=56",
"120-56=64"
] | Current State: 64:[57, 63, 67, 11], Operations: []
Exploring Operation: 57+63=120, Resulting Numbers: [67, 11, 120]
Generated Node #2: [67, 11, 120] from Operation: 57+63=120
Current State: 64:[67, 11, 120], Operations: ['57+63=120']
Exploring Operation: 67-11=56, Resulting Numbers: [120, 56]
Generated Node #3: [120, 56] from Operation: 67-11=56
Current State: 64:[120, 56], Operations: ['57+63=120', '67-11=56']
Exploring Operation: 120-56=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
94,
5,
69,
81
] | 44 | [
"94-69=25",
"5*25=125",
"125-81=44"
] | Current State: 44:[94, 5, 69, 81], Operations: []
Exploring Operation: 94-69=25, Resulting Numbers: [5, 81, 25]
Generated Node #2: [5, 81, 25] from Operation: 94-69=25
Current State: 44:[5, 81, 25], Operations: ['94-69=25']
Exploring Operation: 5*25=125, Resulting Numbers: [81, 125]
Generated Node #3: [81, 125] from Operation: 5*25=125
Current State: 44:[81, 125], Operations: ['94-69=25', '5*25=125']
Exploring Operation: 125-81=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
66,
13,
44,
48
] | 45 | [
"44*48=2112",
"2112/66=32",
"13+32=45"
] | Current State: 45:[66, 13, 44, 48], Operations: []
Exploring Operation: 44*48=2112, Resulting Numbers: [66, 13, 2112]
Generated Node #2: [66, 13, 2112] from Operation: 44*48=2112
Current State: 45:[66, 13, 2112], Operations: ['44*48=2112']
Exploring Operation: 2112/66=32, Resulting Numbers: [13, 32]
Generated Node #3: [13, 32] from Operation: 2112/66=32
Current State: 45:[13, 32], Operations: ['44*48=2112', '2112/66=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
72,
27,
18,
93
] | 24 | [
"72+27=99",
"93-18=75",
"99-75=24"
] | Current State: 24:[72, 27, 18, 93], Operations: []
Exploring Operation: 72+27=99, Resulting Numbers: [18, 93, 99]
Generated Node #2: [18, 93, 99] from Operation: 72+27=99
Current State: 24:[18, 93, 99], Operations: ['72+27=99']
Exploring Operation: 93-18=75, Resulting Numbers: [99, 75]
Generated Node #3: [99, 75] from Operation: 93-18=75
Current State: 24:[99, 75], Operations: ['72+27=99', '93-18=75']
Exploring Operation: 99-75=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
49,
2,
89,
10
] | 45 | [
"89-49=40",
"10/2=5",
"40+5=45"
] | Current State: 45:[49, 2, 89, 10], Operations: []
Exploring Operation: 89-49=40, Resulting Numbers: [2, 10, 40]
Generated Node #2: [2, 10, 40] from Operation: 89-49=40
Current State: 45:[2, 10, 40], Operations: ['89-49=40']
Exploring Operation: 10/2=5, Resulting Numbers: [40, 5]
Generated Node #3: [40, 5] from Operation: 10/2=5
Current State: 45:[40, 5], Operations: ['89-49=40', '10/2=5']
Exploring Operation: 40+5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
5,
59,
12,
3
] | 63 | [
"59-5=54",
"12-3=9",
"54+9=63"
] | Current State: 63:[5, 59, 12, 3], Operations: []
Exploring Operation: 59-5=54, Resulting Numbers: [12, 3, 54]
Generated Node #2: [12, 3, 54] from Operation: 59-5=54
Current State: 63:[12, 3, 54], Operations: ['59-5=54']
Exploring Operation: 12-3=9, Resulting Numbers: [54, 9]
Generated Node #3: [54, 9] from Operation: 12-3=9
Current State: 63:[54, 9], Operations: ['59-5=54', '12-3=9']
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
62,
49,
63,
85
] | 89 | [
"62+49=111",
"85-63=22",
"111-22=89"
] | Current State: 89:[62, 49, 63, 85], Operations: []
Exploring Operation: 62+49=111, Resulting Numbers: [63, 85, 111]
Generated Node #2: [63, 85, 111] from Operation: 62+49=111
Current State: 89:[63, 85, 111], Operations: ['62+49=111']
Exploring Operation: 85-63=22, Resulting Numbers: [111, 22]
Generated Node #3: [111, 22] from Operation: 85-63=22
Current State: 89:[111, 22], Operations: ['62+49=111', '85-63=22']
Exploring Operation: 111-22=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
11,
90,
63,
40
] | 56 | [
"90-11=79",
"63-40=23",
"79-23=56"
] | Current State: 56:[11, 90, 63, 40], Operations: []
Exploring Operation: 90-11=79, Resulting Numbers: [63, 40, 79]
Generated Node #2: [63, 40, 79] from Operation: 90-11=79
Current State: 56:[63, 40, 79], Operations: ['90-11=79']
Exploring Operation: 63-40=23, Resulting Numbers: [79, 23]
Generated Node #3: [79, 23] from Operation: 63-40=23
Current State: 56:[79, 23], Operations: ['90-11=79', '63-40=23']
Exploring Operation: 79-23=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
55,
20,
9,
3
] | 81 | [
"55+20=75",
"9-3=6",
"75+6=81"
] | Current State: 81:[55, 20, 9, 3], Operations: []
Exploring Operation: 55+20=75, Resulting Numbers: [9, 3, 75]
Generated Node #2: [9, 3, 75] from Operation: 55+20=75
Current State: 81:[9, 3, 75], Operations: ['55+20=75']
Exploring Operation: 9-3=6, Resulting Numbers: [75, 6]
Generated Node #3: [75, 6] from Operation: 9-3=6
Current State: 81:[75, 6], Operations: ['55+20=75', '9-3=6']
Exploring Operation: 75+6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
19,
12,
6,
24
] | 29 | [
"19+24=43",
"12*6=72",
"72-43=29"
] | Current State: 29:[19, 12, 6, 24], Operations: []
Exploring Operation: 19+24=43, Resulting Numbers: [12, 6, 43]
Generated Node #2: [12, 6, 43] from Operation: 19+24=43
Current State: 29:[12, 6, 43], Operations: ['19+24=43']
Exploring Operation: 12*6=72, Resulting Numbers: [43, 72]
Generated Node #3: [43, 72] from Operation: 12*6=72
Current State: 29:[43, 72], Operations: ['19+24=43', '12*6=72']
Exploring Operation: 72-43=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
54,
30,
39,
27
] | 45 | [
"54-39=15",
"30-27=3",
"15*3=45"
] | Current State: 45:[54, 30, 39, 27], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [30, 27, 15]
Generated Node #2: [30, 27, 15] from Operation: 54-39=15
Current State: 45:[30, 27, 15], Operations: ['54-39=15']
Exploring Operation: 30-27=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 30-27=3
Current State: 45:[15, 3], Operations: ['54-39=15', '30-27=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
9,
9,
85,
4
] | 40 | [
"85-9=76",
"9*4=36",
"76-36=40"
] | Current State: 40:[9, 9, 85, 4], Operations: []
Exploring Operation: 85-9=76, Resulting Numbers: [4, 76]
Generated Node #2: [4, 76] from Operation: 85-9=76
Current State: 40:[4, 76], Operations: ['85-9=76']
Exploring Operation: 9*4=36, Resulting Numbers: [76, 36]
Generated Node #3: [76, 36] from Operation: 9*4=36
Current State: 40:[76, 36], Operations: ['85-9=76', '9*4=36']
Exploring Operation: 76-36=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
41,
35,
12,
28
] | 35 | [
"41-12=29",
"29-28=1",
"35*1=35"
] | Current State: 35:[41, 35, 12, 28], Operations: []
Exploring Operation: 41-12=29, Resulting Numbers: [35, 28, 29]
Generated Node #2: [35, 28, 29] from Operation: 41-12=29
Current State: 35:[35, 28, 29], Operations: ['41-12=29']
Exploring Operation: 29-28=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 29-28=1
Current State: 35:[35, 1], Operations: ['41-12=29', '29-28=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
13,
69,
11,
10
] | 55 | [
"69-13=56",
"11-10=1",
"56-1=55"
] | Current State: 55:[13, 69, 11, 10], Operations: []
Exploring Operation: 69-13=56, Resulting Numbers: [11, 10, 56]
Generated Node #2: [11, 10, 56] from Operation: 69-13=56
Current State: 55:[11, 10, 56], Operations: ['69-13=56']
Exploring Operation: 11-10=1, Resulting Numbers: [56, 1]
Generated Node #3: [56, 1] from Operation: 11-10=1
Current State: 55:[56, 1], Operations: ['69-13=56', '11-10=1']
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
14,
40,
80,
88
] | 37 | [
"88-14=74",
"80/40=2",
"74/2=37"
] | Current State: 37:[14, 40, 80, 88], Operations: []
Exploring Operation: 88-14=74, Resulting Numbers: [40, 80, 74]
Generated Node #2: [40, 80, 74] from Operation: 88-14=74
Current State: 37:[40, 80, 74], Operations: ['88-14=74']
Exploring Operation: 80/40=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 80/40=2
Current State: 37:[74, 2], Operations: ['88-14=74', '80/40=2']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
69,
60,
91,
12
] | 17 | [
"69-60=9",
"12*9=108",
"108-91=17"
] | Current State: 17:[69, 60, 91, 12], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [91, 12, 9]
Generated Node #2: [91, 12, 9] from Operation: 69-60=9
Current State: 17:[91, 12, 9], Operations: ['69-60=9']
Exploring Operation: 12*9=108, Resulting Numbers: [91, 108]
Generated Node #3: [91, 108] from Operation: 12*9=108
Current State: 17:[91, 108], Operations: ['69-60=9', '12*9=108']
Exploring Operation: 108-91=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
5,
20,
61,
92
] | 56 | [
"5+20=25",
"92-61=31",
"25+31=56"
] | Current State: 56:[5, 20, 61, 92], Operations: []
Exploring Operation: 5+20=25, Resulting Numbers: [61, 92, 25]
Generated Node #2: [61, 92, 25] from Operation: 5+20=25
Current State: 56:[61, 92, 25], Operations: ['5+20=25']
Exploring Operation: 92-61=31, Resulting Numbers: [25, 31]
Generated Node #3: [25, 31] from Operation: 92-61=31
Current State: 56:[25, 31], Operations: ['5+20=25', '92-61=31']
Exploring Operation: 25+31=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
53,
53,
61,
16
] | 45 | [
"53-53=0",
"61-16=45",
"0+45=45"
] | Current State: 45:[53, 53, 61, 16], Operations: []
Exploring Operation: 53-53=0, Resulting Numbers: [61, 16, 0]
Generated Node #2: [61, 16, 0] from Operation: 53-53=0
Current State: 45:[61, 16, 0], Operations: ['53-53=0']
Exploring Operation: 61-16=45, Resulting Numbers: [0, 45]
Generated Node #3: [0, 45] from Operation: 61-16=45
Current State: 45:[0, 45], Operations: ['53-53=0', '61-16=45']
Exploring Operation: 0+45=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
73,
61,
77,
48
] | 81 | [
"73-61=12",
"48/12=4",
"77+4=81"
] | Current State: 81:[73, 61, 77, 48], Operations: []
Exploring Operation: 73-61=12, Resulting Numbers: [77, 48, 12]
Generated Node #2: [77, 48, 12] from Operation: 73-61=12
Current State: 81:[77, 48, 12], Operations: ['73-61=12']
Exploring Operation: 48/12=4, Resulting Numbers: [77, 4]
Generated Node #3: [77, 4] from Operation: 48/12=4
Current State: 81:[77, 4], Operations: ['73-61=12', '48/12=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
26,
37,
39,
13
] | 52 | [
"39-37=2",
"13*2=26",
"26+26=52"
] | Current State: 52:[26, 37, 39, 13], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [26, 13, 2]
Generated Node #2: [26, 13, 2] from Operation: 39-37=2
Current State: 52:[26, 13, 2], Operations: ['39-37=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26, 26]
Generated Node #3: [26, 26] from Operation: 13*2=26
Current State: 52:[26, 26], Operations: ['39-37=2', '13*2=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
40,
34,
16,
79
] | 57 | [
"40-34=6",
"79-16=63",
"63-6=57"
] | Current State: 57:[40, 34, 16, 79], Operations: []
Exploring Operation: 40-34=6, Resulting Numbers: [16, 79, 6]
Generated Node #2: [16, 79, 6] from Operation: 40-34=6
Current State: 57:[16, 79, 6], Operations: ['40-34=6']
Exploring Operation: 79-16=63, Resulting Numbers: [6, 63]
Generated Node #3: [6, 63] from Operation: 79-16=63
Current State: 57:[6, 63], Operations: ['40-34=6', '79-16=63']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
8,
80,
6,
82
] | 39 | [
"8-6=2",
"82/2=41",
"80-41=39"
] | Current State: 39:[8, 80, 6, 82], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [80, 82, 2]
Generated Node #2: [80, 82, 2] from Operation: 8-6=2
Current State: 39:[80, 82, 2], Operations: ['8-6=2']
Exploring Operation: 82/2=41, Resulting Numbers: [80, 41]
Generated Node #3: [80, 41] from Operation: 82/2=41
Current State: 39:[80, 41], Operations: ['8-6=2', '82/2=41']
Exploring Operation: 80-41=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
59,
55,
16,
86
] | 74 | [
"59-55=4",
"86-16=70",
"4+70=74"
] | Current State: 74:[59, 55, 16, 86], Operations: []
Exploring Operation: 59-55=4, Resulting Numbers: [16, 86, 4]
Generated Node #2: [16, 86, 4] from Operation: 59-55=4
Current State: 74:[16, 86, 4], Operations: ['59-55=4']
Exploring Operation: 86-16=70, Resulting Numbers: [4, 70]
Generated Node #3: [4, 70] from Operation: 86-16=70
Current State: 74:[4, 70], Operations: ['59-55=4', '86-16=70']
Exploring Operation: 4+70=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
18,
11,
20,
14
] | 16 | [
"18-14=4",
"20/4=5",
"11+5=16"
] | Current State: 16:[18, 11, 20, 14], Operations: []
Exploring Operation: 18-14=4, Resulting Numbers: [11, 20, 4]
Generated Node #2: [11, 20, 4] from Operation: 18-14=4
Current State: 16:[11, 20, 4], Operations: ['18-14=4']
Exploring Operation: 20/4=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 20/4=5
Current State: 16:[11, 5], Operations: ['18-14=4', '20/4=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
35,
43,
26,
12
] | 30 | [
"43-35=8",
"26+12=38",
"38-8=30"
] | Current State: 30:[35, 43, 26, 12], Operations: []
Exploring Operation: 43-35=8, Resulting Numbers: [26, 12, 8]
Generated Node #2: [26, 12, 8] from Operation: 43-35=8
Current State: 30:[26, 12, 8], Operations: ['43-35=8']
Exploring Operation: 26+12=38, Resulting Numbers: [8, 38]
Generated Node #3: [8, 38] from Operation: 26+12=38
Current State: 30:[8, 38], Operations: ['43-35=8', '26+12=38']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
81,
4,
32,
60
] | 49 | [
"81-4=77",
"60-32=28",
"77-28=49"
] | Current State: 49:[81, 4, 32, 60], Operations: []
Exploring Operation: 81-4=77, Resulting Numbers: [32, 60, 77]
Generated Node #2: [32, 60, 77] from Operation: 81-4=77
Current State: 49:[32, 60, 77], Operations: ['81-4=77']
Exploring Operation: 60-32=28, Resulting Numbers: [77, 28]
Generated Node #3: [77, 28] from Operation: 60-32=28
Current State: 49:[77, 28], Operations: ['81-4=77', '60-32=28']
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
19,
59,
57,
65
] | 27 | [
"59-57=2",
"19*2=38",
"65-38=27"
] | Current State: 27:[19, 59, 57, 65], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [19, 65, 2]
Generated Node #2: [19, 65, 2] from Operation: 59-57=2
Current State: 27:[19, 65, 2], Operations: ['59-57=2']
Exploring Operation: 19*2=38, Resulting Numbers: [65, 38]
Generated Node #3: [65, 38] from Operation: 19*2=38
Current State: 27:[65, 38], Operations: ['59-57=2', '19*2=38']
Exploring Operation: 65-38=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
65,
2,
64,
56
] | 53 | [
"65+2=67",
"64+56=120",
"120-67=53"
] | Current State: 53:[65, 2, 64, 56], Operations: []
Exploring Operation: 65+2=67, Resulting Numbers: [64, 56, 67]
Generated Node #2: [64, 56, 67] from Operation: 65+2=67
Current State: 53:[64, 56, 67], Operations: ['65+2=67']
Exploring Operation: 64+56=120, Resulting Numbers: [67, 120]
Generated Node #3: [67, 120] from Operation: 64+56=120
Current State: 53:[67, 120], Operations: ['65+2=67', '64+56=120']
Exploring Operation: 120-67=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
16,
13,
56,
76
] | 49 | [
"16+13=29",
"76-56=20",
"29+20=49"
] | Current State: 49:[16, 13, 56, 76], Operations: []
Exploring Operation: 16+13=29, Resulting Numbers: [56, 76, 29]
Generated Node #2: [56, 76, 29] from Operation: 16+13=29
Current State: 49:[56, 76, 29], Operations: ['16+13=29']
Exploring Operation: 76-56=20, Resulting Numbers: [29, 20]
Generated Node #3: [29, 20] from Operation: 76-56=20
Current State: 49:[29, 20], Operations: ['16+13=29', '76-56=20']
Exploring Operation: 29+20=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
46,
2,
76,
79
] | 86 | [
"46+76=122",
"122-79=43",
"2*43=86"
] | Current State: 86:[46, 2, 76, 79], Operations: []
Exploring Operation: 46+76=122, Resulting Numbers: [2, 79, 122]
Generated Node #2: [2, 79, 122] from Operation: 46+76=122
Current State: 86:[2, 79, 122], Operations: ['46+76=122']
Exploring Operation: 122-79=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 122-79=43
Current State: 86:[2, 43], Operations: ['46+76=122', '122-79=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
15,
45,
71,
3
] | 91 | [
"15+45=60",
"60/3=20",
"71+20=91"
] | Current State: 91:[15, 45, 71, 3], Operations: []
Exploring Operation: 15+45=60, Resulting Numbers: [71, 3, 60]
Generated Node #2: [71, 3, 60] from Operation: 15+45=60
Current State: 91:[71, 3, 60], Operations: ['15+45=60']
Exploring Operation: 60/3=20, Resulting Numbers: [71, 20]
Generated Node #3: [71, 20] from Operation: 60/3=20
Current State: 91:[71, 20], Operations: ['15+45=60', '60/3=20']
Exploring Operation: 71+20=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
63,
39,
59,
84
] | 18 | [
"63-59=4",
"84/4=21",
"39-21=18"
] | Current State: 18:[63, 39, 59, 84], Operations: []
Exploring Operation: 63-59=4, Resulting Numbers: [39, 84, 4]
Generated Node #2: [39, 84, 4] from Operation: 63-59=4
Current State: 18:[39, 84, 4], Operations: ['63-59=4']
Exploring Operation: 84/4=21, Resulting Numbers: [39, 21]
Generated Node #3: [39, 21] from Operation: 84/4=21
Current State: 18:[39, 21], Operations: ['63-59=4', '84/4=21']
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
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