nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
61,
77,
69,
15
] | 69 | [
"77-61=16",
"16-15=1",
"69*1=69"
] | Current State: 69:[61, 77, 69, 15], Operations: []
Exploring Operation: 77-61=16, Resulting Numbers: [69, 15, 16]
Generated Node #2: [69, 15, 16] from Operation: 77-61=16
Current State: 69:[69, 15, 16], Operations: ['77-61=16']
Exploring Operation: 16-15=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 16-15=1
Current State: 69:[69, 1], Operations: ['77-61=16', '16-15=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
4,
71,
29,
2
] | 94 | [
"71-4=67",
"29-2=27",
"67+27=94"
] | Current State: 94:[4, 71, 29, 2], Operations: []
Exploring Operation: 71-4=67, Resulting Numbers: [29, 2, 67]
Generated Node #2: [29, 2, 67] from Operation: 71-4=67
Current State: 94:[29, 2, 67], Operations: ['71-4=67']
Exploring Operation: 29-2=27, Resulting Numbers: [67, 27]
Generated Node #3: [67, 27] from Operation: 29-2=27
Current State: 94:[67, 27], Operations: ['71-4=67', '29-2=27']
Exploring Operation: 67+27=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
86,
33,
54,
35
] | 59 | [
"35-33=2",
"54/2=27",
"86-27=59"
] | Current State: 59:[86, 33, 54, 35], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [86, 54, 2]
Generated Node #2: [86, 54, 2] from Operation: 35-33=2
Current State: 59:[86, 54, 2], Operations: ['35-33=2']
Exploring Operation: 54/2=27, Resulting Numbers: [86, 27]
Generated Node #3: [86, 27] from Operation: 54/2=27
Current State: 59:[86, 27], Operations: ['35-33=2', '54/2=27']
Exploring Operation: 86-27=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
8,
62,
53,
9
] | 19 | [
"8*62=496",
"53*9=477",
"496-477=19"
] | Current State: 19:[8, 62, 53, 9], Operations: []
Exploring Operation: 8*62=496, Resulting Numbers: [53, 9, 496]
Generated Node #2: [53, 9, 496] from Operation: 8*62=496
Current State: 19:[53, 9, 496], Operations: ['8*62=496']
Exploring Operation: 53*9=477, Resulting Numbers: [496, 477]
Generated Node #3: [496, 477] from Operation: 53*9=477
Current State: 19:[496, 477], Operations: ['8*62=496', '53*9=477']
Exploring Operation: 496-477=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
70,
59,
2,
53
] | 62 | [
"70-59=11",
"53-2=51",
"11+51=62"
] | Current State: 62:[70, 59, 2, 53], Operations: []
Exploring Operation: 70-59=11, Resulting Numbers: [2, 53, 11]
Generated Node #2: [2, 53, 11] from Operation: 70-59=11
Current State: 62:[2, 53, 11], Operations: ['70-59=11']
Exploring Operation: 53-2=51, Resulting Numbers: [11, 51]
Generated Node #3: [11, 51] from Operation: 53-2=51
Current State: 62:[11, 51], Operations: ['70-59=11', '53-2=51']
Exploring Operation: 11+51=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
8,
15,
3,
16
] | 53 | [
"8+15=23",
"3*23=69",
"69-16=53"
] | Current State: 53:[8, 15, 3, 16], Operations: []
Exploring Operation: 8+15=23, Resulting Numbers: [3, 16, 23]
Generated Node #2: [3, 16, 23] from Operation: 8+15=23
Current State: 53:[3, 16, 23], Operations: ['8+15=23']
Exploring Operation: 3*23=69, Resulting Numbers: [16, 69]
Generated Node #3: [16, 69] from Operation: 3*23=69
Current State: 53:[16, 69], Operations: ['8+15=23', '3*23=69']
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
90,
45,
91,
34
] | 78 | [
"90+45=135",
"91-34=57",
"135-57=78"
] | Current State: 78:[90, 45, 91, 34], Operations: []
Exploring Operation: 90+45=135, Resulting Numbers: [91, 34, 135]
Generated Node #2: [91, 34, 135] from Operation: 90+45=135
Current State: 78:[91, 34, 135], Operations: ['90+45=135']
Exploring Operation: 91-34=57, Resulting Numbers: [135, 57]
Generated Node #3: [135, 57] from Operation: 91-34=57
Current State: 78:[135, 57], Operations: ['90+45=135', '91-34=57']
Exploring Operation: 135-57=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
47,
7,
52,
27
] | 39 | [
"47-7=40",
"52+27=79",
"79-40=39"
] | Current State: 39:[47, 7, 52, 27], Operations: []
Exploring Operation: 47-7=40, Resulting Numbers: [52, 27, 40]
Generated Node #2: [52, 27, 40] from Operation: 47-7=40
Current State: 39:[52, 27, 40], Operations: ['47-7=40']
Exploring Operation: 52+27=79, Resulting Numbers: [40, 79]
Generated Node #3: [40, 79] from Operation: 52+27=79
Current State: 39:[40, 79], Operations: ['47-7=40', '52+27=79']
Exploring Operation: 79-40=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
29,
50,
98,
73
] | 54 | [
"29+50=79",
"98-73=25",
"79-25=54"
] | Current State: 54:[29, 50, 98, 73], Operations: []
Exploring Operation: 29+50=79, Resulting Numbers: [98, 73, 79]
Generated Node #2: [98, 73, 79] from Operation: 29+50=79
Current State: 54:[98, 73, 79], Operations: ['29+50=79']
Exploring Operation: 98-73=25, Resulting Numbers: [79, 25]
Generated Node #3: [79, 25] from Operation: 98-73=25
Current State: 54:[79, 25], Operations: ['29+50=79', '98-73=25']
Exploring Operation: 79-25=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
37,
33,
5,
49
] | 69 | [
"37-33=4",
"5*4=20",
"49+20=69"
] | Current State: 69:[37, 33, 5, 49], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [5, 49, 4]
Generated Node #2: [5, 49, 4] from Operation: 37-33=4
Current State: 69:[5, 49, 4], Operations: ['37-33=4']
Exploring Operation: 5*4=20, Resulting Numbers: [49, 20]
Generated Node #3: [49, 20] from Operation: 5*4=20
Current State: 69:[49, 20], Operations: ['37-33=4', '5*4=20']
Exploring Operation: 49+20=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
85,
6,
64,
77
] | 12 | [
"85+64=149",
"149-77=72",
"72/6=12"
] | Current State: 12:[85, 6, 64, 77], Operations: []
Exploring Operation: 85+64=149, Resulting Numbers: [6, 77, 149]
Generated Node #2: [6, 77, 149] from Operation: 85+64=149
Current State: 12:[6, 77, 149], Operations: ['85+64=149']
Exploring Operation: 149-77=72, Resulting Numbers: [6, 72]
Generated Node #3: [6, 72] from Operation: 149-77=72
Current State: 12:[6, 72], Operations: ['85+64=149', '149-77=72']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
35,
55,
22,
19
] | 17 | [
"55-35=20",
"22-19=3",
"20-3=17"
] | Current State: 17:[35, 55, 22, 19], Operations: []
Exploring Operation: 55-35=20, Resulting Numbers: [22, 19, 20]
Generated Node #2: [22, 19, 20] from Operation: 55-35=20
Current State: 17:[22, 19, 20], Operations: ['55-35=20']
Exploring Operation: 22-19=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 22-19=3
Current State: 17:[20, 3], Operations: ['55-35=20', '22-19=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
90,
8,
91,
38
] | 30 | [
"91-90=1",
"38-8=30",
"1*30=30"
] | Current State: 30:[90, 8, 91, 38], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [8, 38, 1]
Generated Node #2: [8, 38, 1] from Operation: 91-90=1
Current State: 30:[8, 38, 1], Operations: ['91-90=1']
Exploring Operation: 38-8=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 38-8=30
Current State: 30:[1, 30], Operations: ['91-90=1', '38-8=30']
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
89,
16,
44,
47
] | 41 | [
"47-44=3",
"16*3=48",
"89-48=41"
] | Current State: 41:[89, 16, 44, 47], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [89, 16, 3]
Generated Node #2: [89, 16, 3] from Operation: 47-44=3
Current State: 41:[89, 16, 3], Operations: ['47-44=3']
Exploring Operation: 16*3=48, Resulting Numbers: [89, 48]
Generated Node #3: [89, 48] from Operation: 16*3=48
Current State: 41:[89, 48], Operations: ['47-44=3', '16*3=48']
Exploring Operation: 89-48=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
40,
60,
71,
80
] | 41 | [
"40*60=2400",
"2400/80=30",
"71-30=41"
] | Current State: 41:[40, 60, 71, 80], Operations: []
Exploring Operation: 40*60=2400, Resulting Numbers: [71, 80, 2400]
Generated Node #2: [71, 80, 2400] from Operation: 40*60=2400
Current State: 41:[71, 80, 2400], Operations: ['40*60=2400']
Exploring Operation: 2400/80=30, Resulting Numbers: [71, 30]
Generated Node #3: [71, 30] from Operation: 2400/80=30
Current State: 41:[71, 30], Operations: ['40*60=2400', '2400/80=30']
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
20,
52,
89,
49
] | 66 | [
"20+52=72",
"89+49=138",
"138-72=66"
] | Current State: 66:[20, 52, 89, 49], Operations: []
Exploring Operation: 20+52=72, Resulting Numbers: [89, 49, 72]
Generated Node #2: [89, 49, 72] from Operation: 20+52=72
Current State: 66:[89, 49, 72], Operations: ['20+52=72']
Exploring Operation: 89+49=138, Resulting Numbers: [72, 138]
Generated Node #3: [72, 138] from Operation: 89+49=138
Current State: 66:[72, 138], Operations: ['20+52=72', '89+49=138']
Exploring Operation: 138-72=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
57,
3,
60,
68
] | 77 | [
"60-57=3",
"3*3=9",
"68+9=77"
] | Current State: 77:[57, 3, 60, 68], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [3, 68, 3]
Generated Node #2: [3, 68, 3] from Operation: 60-57=3
Current State: 77:[3, 68, 3], Operations: ['60-57=3']
Exploring Operation: 3*3=9, Resulting Numbers: [68, 9]
Generated Node #3: [68, 9] from Operation: 3*3=9
Current State: 77:[68, 9], Operations: ['60-57=3', '3*3=9']
Exploring Operation: 68+9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
30,
72,
18,
20
] | 81 | [
"72-18=54",
"30*54=1620",
"1620/20=81"
] | Current State: 81:[30, 72, 18, 20], Operations: []
Exploring Operation: 72-18=54, Resulting Numbers: [30, 20, 54]
Generated Node #2: [30, 20, 54] from Operation: 72-18=54
Current State: 81:[30, 20, 54], Operations: ['72-18=54']
Exploring Operation: 30*54=1620, Resulting Numbers: [20, 1620]
Generated Node #3: [20, 1620] from Operation: 30*54=1620
Current State: 81:[20, 1620], Operations: ['72-18=54', '30*54=1620']
Exploring Operation: 1620/20=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
79,
5,
88,
69
] | 12 | [
"88-79=9",
"69-9=60",
"60/5=12"
] | Current State: 12:[79, 5, 88, 69], Operations: []
Exploring Operation: 88-79=9, Resulting Numbers: [5, 69, 9]
Generated Node #2: [5, 69, 9] from Operation: 88-79=9
Current State: 12:[5, 69, 9], Operations: ['88-79=9']
Exploring Operation: 69-9=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 69-9=60
Current State: 12:[5, 60], Operations: ['88-79=9', '69-9=60']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
70,
47,
25,
18
] | 66 | [
"70-47=23",
"25+18=43",
"23+43=66"
] | Current State: 66:[70, 47, 25, 18], Operations: []
Exploring Operation: 70-47=23, Resulting Numbers: [25, 18, 23]
Generated Node #2: [25, 18, 23] from Operation: 70-47=23
Current State: 66:[25, 18, 23], Operations: ['70-47=23']
Exploring Operation: 25+18=43, Resulting Numbers: [23, 43]
Generated Node #3: [23, 43] from Operation: 25+18=43
Current State: 66:[23, 43], Operations: ['70-47=23', '25+18=43']
Exploring Operation: 23+43=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
3,
11,
11,
39
] | 64 | [
"3+11=14",
"11+39=50",
"14+50=64"
] | Current State: 64:[3, 11, 11, 39], Operations: []
Exploring Operation: 3+11=14, Resulting Numbers: [39, 14]
Generated Node #2: [39, 14] from Operation: 3+11=14
Current State: 64:[39, 14], Operations: ['3+11=14']
Exploring Operation: 11+39=50, Resulting Numbers: [14, 50]
Generated Node #3: [14, 50] from Operation: 11+39=50
Current State: 64:[14, 50], Operations: ['3+11=14', '11+39=50']
Exploring Operation: 14+50=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
98,
63,
88,
65
] | 12 | [
"98-63=35",
"88-65=23",
"35-23=12"
] | Current State: 12:[98, 63, 88, 65], Operations: []
Exploring Operation: 98-63=35, Resulting Numbers: [88, 65, 35]
Generated Node #2: [88, 65, 35] from Operation: 98-63=35
Current State: 12:[88, 65, 35], Operations: ['98-63=35']
Exploring Operation: 88-65=23, Resulting Numbers: [35, 23]
Generated Node #3: [35, 23] from Operation: 88-65=23
Current State: 12:[35, 23], Operations: ['98-63=35', '88-65=23']
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
34,
73,
96,
92
] | 38 | [
"96-73=23",
"92/23=4",
"34+4=38"
] | Current State: 38:[34, 73, 96, 92], Operations: []
Exploring Operation: 96-73=23, Resulting Numbers: [34, 92, 23]
Generated Node #2: [34, 92, 23] from Operation: 96-73=23
Current State: 38:[34, 92, 23], Operations: ['96-73=23']
Exploring Operation: 92/23=4, Resulting Numbers: [34, 4]
Generated Node #3: [34, 4] from Operation: 92/23=4
Current State: 38:[34, 4], Operations: ['96-73=23', '92/23=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
30,
58,
84,
81
] | 85 | [
"30+58=88",
"84-81=3",
"88-3=85"
] | Current State: 85:[30, 58, 84, 81], Operations: []
Exploring Operation: 30+58=88, Resulting Numbers: [84, 81, 88]
Generated Node #2: [84, 81, 88] from Operation: 30+58=88
Current State: 85:[84, 81, 88], Operations: ['30+58=88']
Exploring Operation: 84-81=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 84-81=3
Current State: 85:[88, 3], Operations: ['30+58=88', '84-81=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
19,
38,
45,
57
] | 46 | [
"19+38=57",
"57/57=1",
"45+1=46"
] | Current State: 46:[19, 38, 45, 57], Operations: []
Exploring Operation: 19+38=57, Resulting Numbers: [45, 57, 57]
Generated Node #2: [45, 57, 57] from Operation: 19+38=57
Current State: 46:[45, 57, 57], Operations: ['19+38=57']
Exploring Operation: 57/57=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 57/57=1
Current State: 46:[45, 1], Operations: ['19+38=57', '57/57=1']
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
14,
65,
66,
19
] | 11 | [
"14*66=924",
"65+19=84",
"924/84=11"
] | Current State: 11:[14, 65, 66, 19], Operations: []
Exploring Operation: 14*66=924, Resulting Numbers: [65, 19, 924]
Generated Node #2: [65, 19, 924] from Operation: 14*66=924
Current State: 11:[65, 19, 924], Operations: ['14*66=924']
Exploring Operation: 65+19=84, Resulting Numbers: [924, 84]
Generated Node #3: [924, 84] from Operation: 65+19=84
Current State: 11:[924, 84], Operations: ['14*66=924', '65+19=84']
Exploring Operation: 924/84=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
91,
34,
50,
61
] | 68 | [
"91-34=57",
"61-50=11",
"57+11=68"
] | Current State: 68:[91, 34, 50, 61], Operations: []
Exploring Operation: 91-34=57, Resulting Numbers: [50, 61, 57]
Generated Node #2: [50, 61, 57] from Operation: 91-34=57
Current State: 68:[50, 61, 57], Operations: ['91-34=57']
Exploring Operation: 61-50=11, Resulting Numbers: [57, 11]
Generated Node #3: [57, 11] from Operation: 61-50=11
Current State: 68:[57, 11], Operations: ['91-34=57', '61-50=11']
Exploring Operation: 57+11=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
23,
46,
66,
62
] | 64 | [
"46/23=2",
"66+62=128",
"128/2=64"
] | Current State: 64:[23, 46, 66, 62], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [66, 62, 2]
Generated Node #2: [66, 62, 2] from Operation: 46/23=2
Current State: 64:[66, 62, 2], Operations: ['46/23=2']
Exploring Operation: 66+62=128, Resulting Numbers: [2, 128]
Generated Node #3: [2, 128] from Operation: 66+62=128
Current State: 64:[2, 128], Operations: ['46/23=2', '66+62=128']
Exploring Operation: 128/2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
33,
24,
14,
2
] | 98 | [
"33-24=9",
"9-2=7",
"14*7=98"
] | Current State: 98:[33, 24, 14, 2], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [14, 2, 9]
Generated Node #2: [14, 2, 9] from Operation: 33-24=9
Current State: 98:[14, 2, 9], Operations: ['33-24=9']
Exploring Operation: 9-2=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 9-2=7
Current State: 98:[14, 7], Operations: ['33-24=9', '9-2=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
55,
22,
32,
16
] | 66 | [
"55-22=33",
"32/16=2",
"33*2=66"
] | Current State: 66:[55, 22, 32, 16], Operations: []
Exploring Operation: 55-22=33, Resulting Numbers: [32, 16, 33]
Generated Node #2: [32, 16, 33] from Operation: 55-22=33
Current State: 66:[32, 16, 33], Operations: ['55-22=33']
Exploring Operation: 32/16=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 32/16=2
Current State: 66:[33, 2], Operations: ['55-22=33', '32/16=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
98,
15,
54,
48
] | 77 | [
"98-15=83",
"54-48=6",
"83-6=77"
] | Current State: 77:[98, 15, 54, 48], Operations: []
Exploring Operation: 98-15=83, Resulting Numbers: [54, 48, 83]
Generated Node #2: [54, 48, 83] from Operation: 98-15=83
Current State: 77:[54, 48, 83], Operations: ['98-15=83']
Exploring Operation: 54-48=6, Resulting Numbers: [83, 6]
Generated Node #3: [83, 6] from Operation: 54-48=6
Current State: 77:[83, 6], Operations: ['98-15=83', '54-48=6']
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
51,
83,
76,
65
] | 98 | [
"65-51=14",
"83-76=7",
"14*7=98"
] | Current State: 98:[51, 83, 76, 65], Operations: []
Exploring Operation: 65-51=14, Resulting Numbers: [83, 76, 14]
Generated Node #2: [83, 76, 14] from Operation: 65-51=14
Current State: 98:[83, 76, 14], Operations: ['65-51=14']
Exploring Operation: 83-76=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 83-76=7
Current State: 98:[14, 7], Operations: ['65-51=14', '83-76=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
40,
26,
42,
2
] | 11 | [
"42-40=2",
"26/2=13",
"13-2=11"
] | Current State: 11:[40, 26, 42, 2], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [26, 2, 2]
Generated Node #2: [26, 2, 2] from Operation: 42-40=2
Current State: 11:[26, 2, 2], Operations: ['42-40=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,11 equal: Goal Reached
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
54,
20,
28,
38
] | 100 | [
"54-20=34",
"28+38=66",
"34+66=100"
] | Current State: 100:[54, 20, 28, 38], Operations: []
Exploring Operation: 54-20=34, Resulting Numbers: [28, 38, 34]
Generated Node #2: [28, 38, 34] from Operation: 54-20=34
Current State: 100:[28, 38, 34], Operations: ['54-20=34']
Exploring Operation: 28+38=66, Resulting Numbers: [34, 66]
Generated Node #3: [34, 66] from Operation: 28+38=66
Current State: 100:[34, 66], Operations: ['54-20=34', '28+38=66']
Exploring Operation: 34+66=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
68,
33,
3,
8
] | 77 | [
"68+33=101",
"3*8=24",
"101-24=77"
] | Current State: 77:[68, 33, 3, 8], Operations: []
Exploring Operation: 68+33=101, Resulting Numbers: [3, 8, 101]
Generated Node #2: [3, 8, 101] from Operation: 68+33=101
Current State: 77:[3, 8, 101], Operations: ['68+33=101']
Exploring Operation: 3*8=24, Resulting Numbers: [101, 24]
Generated Node #3: [101, 24] from Operation: 3*8=24
Current State: 77:[101, 24], Operations: ['68+33=101', '3*8=24']
Exploring Operation: 101-24=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
37,
87,
20,
28
] | 93 | [
"37-28=9",
"20*9=180",
"180-87=93"
] | Current State: 93:[37, 87, 20, 28], Operations: []
Exploring Operation: 37-28=9, Resulting Numbers: [87, 20, 9]
Generated Node #2: [87, 20, 9] from Operation: 37-28=9
Current State: 93:[87, 20, 9], Operations: ['37-28=9']
Exploring Operation: 20*9=180, Resulting Numbers: [87, 180]
Generated Node #3: [87, 180] from Operation: 20*9=180
Current State: 93:[87, 180], Operations: ['37-28=9', '20*9=180']
Exploring Operation: 180-87=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
9,
83,
17,
11
] | 54 | [
"83-17=66",
"9*66=594",
"594/11=54"
] | Current State: 54:[9, 83, 17, 11], Operations: []
Exploring Operation: 83-17=66, Resulting Numbers: [9, 11, 66]
Generated Node #2: [9, 11, 66] from Operation: 83-17=66
Current State: 54:[9, 11, 66], Operations: ['83-17=66']
Exploring Operation: 9*66=594, Resulting Numbers: [11, 594]
Generated Node #3: [11, 594] from Operation: 9*66=594
Current State: 54:[11, 594], Operations: ['83-17=66', '9*66=594']
Exploring Operation: 594/11=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
97,
38,
60,
50
] | 51 | [
"97-38=59",
"60+50=110",
"110-59=51"
] | Current State: 51:[97, 38, 60, 50], Operations: []
Exploring Operation: 97-38=59, Resulting Numbers: [60, 50, 59]
Generated Node #2: [60, 50, 59] from Operation: 97-38=59
Current State: 51:[60, 50, 59], Operations: ['97-38=59']
Exploring Operation: 60+50=110, Resulting Numbers: [59, 110]
Generated Node #3: [59, 110] from Operation: 60+50=110
Current State: 51:[59, 110], Operations: ['97-38=59', '60+50=110']
Exploring Operation: 110-59=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
21,
89,
2,
77
] | 62 | [
"89+77=166",
"166/2=83",
"83-21=62"
] | Current State: 62:[21, 89, 2, 77], Operations: []
Exploring Operation: 89+77=166, Resulting Numbers: [21, 2, 166]
Generated Node #2: [21, 2, 166] from Operation: 89+77=166
Current State: 62:[21, 2, 166], Operations: ['89+77=166']
Exploring Operation: 166/2=83, Resulting Numbers: [21, 83]
Generated Node #3: [21, 83] from Operation: 166/2=83
Current State: 62:[21, 83], Operations: ['89+77=166', '166/2=83']
Exploring Operation: 83-21=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
41,
25,
11,
90
] | 96 | [
"41+25=66",
"66/11=6",
"90+6=96"
] | Current State: 96:[41, 25, 11, 90], Operations: []
Exploring Operation: 41+25=66, Resulting Numbers: [11, 90, 66]
Generated Node #2: [11, 90, 66] from Operation: 41+25=66
Current State: 96:[11, 90, 66], Operations: ['41+25=66']
Exploring Operation: 66/11=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 66/11=6
Current State: 96:[90, 6], Operations: ['41+25=66', '66/11=6']
Exploring Operation: 90+6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
43,
33,
80,
9
] | 61 | [
"43-33=10",
"80-9=71",
"71-10=61"
] | Current State: 61:[43, 33, 80, 9], Operations: []
Exploring Operation: 43-33=10, Resulting Numbers: [80, 9, 10]
Generated Node #2: [80, 9, 10] from Operation: 43-33=10
Current State: 61:[80, 9, 10], Operations: ['43-33=10']
Exploring Operation: 80-9=71, Resulting Numbers: [10, 71]
Generated Node #3: [10, 71] from Operation: 80-9=71
Current State: 61:[10, 71], Operations: ['43-33=10', '80-9=71']
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
20,
63,
54,
42
] | 54 | [
"63-20=43",
"43-42=1",
"54*1=54"
] | Current State: 54:[20, 63, 54, 42], Operations: []
Exploring Operation: 63-20=43, Resulting Numbers: [54, 42, 43]
Generated Node #2: [54, 42, 43] from Operation: 63-20=43
Current State: 54:[54, 42, 43], Operations: ['63-20=43']
Exploring Operation: 43-42=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 43-42=1
Current State: 54:[54, 1], Operations: ['63-20=43', '43-42=1']
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
20,
78,
80,
5
] | 30 | [
"20-5=15",
"80-78=2",
"15*2=30"
] | Current State: 30:[20, 78, 80, 5], Operations: []
Exploring Operation: 20-5=15, Resulting Numbers: [78, 80, 15]
Generated Node #2: [78, 80, 15] from Operation: 20-5=15
Current State: 30:[78, 80, 15], Operations: ['20-5=15']
Exploring Operation: 80-78=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 80-78=2
Current State: 30:[15, 2], Operations: ['20-5=15', '80-78=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
74,
10,
4,
23
] | 58 | [
"10+23=33",
"4*33=132",
"132-74=58"
] | Current State: 58:[74, 10, 4, 23], Operations: []
Exploring Operation: 10+23=33, Resulting Numbers: [74, 4, 33]
Generated Node #2: [74, 4, 33] from Operation: 10+23=33
Current State: 58:[74, 4, 33], Operations: ['10+23=33']
Exploring Operation: 4*33=132, Resulting Numbers: [74, 132]
Generated Node #3: [74, 132] from Operation: 4*33=132
Current State: 58:[74, 132], Operations: ['10+23=33', '4*33=132']
Exploring Operation: 132-74=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
82,
3,
28,
90
] | 33 | [
"82+3=85",
"28+90=118",
"118-85=33"
] | Current State: 33:[82, 3, 28, 90], Operations: []
Exploring Operation: 82+3=85, Resulting Numbers: [28, 90, 85]
Generated Node #2: [28, 90, 85] from Operation: 82+3=85
Current State: 33:[28, 90, 85], Operations: ['82+3=85']
Exploring Operation: 28+90=118, Resulting Numbers: [85, 118]
Generated Node #3: [85, 118] from Operation: 28+90=118
Current State: 33:[85, 118], Operations: ['82+3=85', '28+90=118']
Exploring Operation: 118-85=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
55,
18,
34,
89
] | 92 | [
"55-18=37",
"89-34=55",
"37+55=92"
] | Current State: 92:[55, 18, 34, 89], Operations: []
Exploring Operation: 55-18=37, Resulting Numbers: [34, 89, 37]
Generated Node #2: [34, 89, 37] from Operation: 55-18=37
Current State: 92:[34, 89, 37], Operations: ['55-18=37']
Exploring Operation: 89-34=55, Resulting Numbers: [37, 55]
Generated Node #3: [37, 55] from Operation: 89-34=55
Current State: 92:[37, 55], Operations: ['55-18=37', '89-34=55']
Exploring Operation: 37+55=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
72,
5,
65,
5
] | 30 | [
"72-65=7",
"5*7=35",
"35-5=30"
] | Current State: 30:[72, 5, 65, 5], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [5, 5, 7]
Generated Node #2: [5, 5, 7] from Operation: 72-65=7
Current State: 30:[5, 5, 7], Operations: ['72-65=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,30 equal: Goal Reached
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
48,
87,
8,
25
] | 56 | [
"87-48=39",
"25-8=17",
"39+17=56"
] | Current State: 56:[48, 87, 8, 25], Operations: []
Exploring Operation: 87-48=39, Resulting Numbers: [8, 25, 39]
Generated Node #2: [8, 25, 39] from Operation: 87-48=39
Current State: 56:[8, 25, 39], Operations: ['87-48=39']
Exploring Operation: 25-8=17, Resulting Numbers: [39, 17]
Generated Node #3: [39, 17] from Operation: 25-8=17
Current State: 56:[39, 17], Operations: ['87-48=39', '25-8=17']
Exploring Operation: 39+17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
64,
17,
84,
83
] | 80 | [
"64+17=81",
"84-83=1",
"81-1=80"
] | Current State: 80:[64, 17, 84, 83], Operations: []
Exploring Operation: 64+17=81, Resulting Numbers: [84, 83, 81]
Generated Node #2: [84, 83, 81] from Operation: 64+17=81
Current State: 80:[84, 83, 81], Operations: ['64+17=81']
Exploring Operation: 84-83=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 84-83=1
Current State: 80:[81, 1], Operations: ['64+17=81', '84-83=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
85,
1,
98,
78
] | 15 | [
"85-78=7",
"98/7=14",
"1+14=15"
] | Current State: 15:[85, 1, 98, 78], Operations: []
Exploring Operation: 85-78=7, Resulting Numbers: [1, 98, 7]
Generated Node #2: [1, 98, 7] from Operation: 85-78=7
Current State: 15:[1, 98, 7], Operations: ['85-78=7']
Exploring Operation: 98/7=14, Resulting Numbers: [1, 14]
Generated Node #3: [1, 14] from Operation: 98/7=14
Current State: 15:[1, 14], Operations: ['85-78=7', '98/7=14']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
30,
46,
92,
25
] | 51 | [
"46-30=16",
"92-25=67",
"67-16=51"
] | Current State: 51:[30, 46, 92, 25], Operations: []
Exploring Operation: 46-30=16, Resulting Numbers: [92, 25, 16]
Generated Node #2: [92, 25, 16] from Operation: 46-30=16
Current State: 51:[92, 25, 16], Operations: ['46-30=16']
Exploring Operation: 92-25=67, Resulting Numbers: [16, 67]
Generated Node #3: [16, 67] from Operation: 92-25=67
Current State: 51:[16, 67], Operations: ['46-30=16', '92-25=67']
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
3,
3,
50,
12
] | 77 | [
"12-3=9",
"3*9=27",
"50+27=77"
] | Current State: 77:[3, 3, 50, 12], Operations: []
Exploring Operation: 12-3=9, Resulting Numbers: [50, 9]
Generated Node #2: [50, 9] from Operation: 12-3=9
Current State: 77:[50, 9], Operations: ['12-3=9']
Exploring Operation: 3*9=27, Resulting Numbers: [50, 27]
Generated Node #3: [50, 27] from Operation: 3*9=27
Current State: 77:[50, 27], Operations: ['12-3=9', '3*9=27']
Exploring Operation: 50+27=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
72,
64,
1,
3
] | 32 | [
"72-64=8",
"1+3=4",
"8*4=32"
] | Current State: 32:[72, 64, 1, 3], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [1, 3, 8]
Generated Node #2: [1, 3, 8] from Operation: 72-64=8
Current State: 32:[1, 3, 8], Operations: ['72-64=8']
Exploring Operation: 1+3=4, Resulting Numbers: [8, 4]
Generated Node #3: [8, 4] from Operation: 1+3=4
Current State: 32:[8, 4], Operations: ['72-64=8', '1+3=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
99,
12,
27,
40
] | 20 | [
"99-12=87",
"27+40=67",
"87-67=20"
] | Current State: 20:[99, 12, 27, 40], Operations: []
Exploring Operation: 99-12=87, Resulting Numbers: [27, 40, 87]
Generated Node #2: [27, 40, 87] from Operation: 99-12=87
Current State: 20:[27, 40, 87], Operations: ['99-12=87']
Exploring Operation: 27+40=67, Resulting Numbers: [87, 67]
Generated Node #3: [87, 67] from Operation: 27+40=67
Current State: 20:[87, 67], Operations: ['99-12=87', '27+40=67']
Exploring Operation: 87-67=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
96,
32,
62,
90
] | 100 | [
"96+32=128",
"90-62=28",
"128-28=100"
] | Current State: 100:[96, 32, 62, 90], Operations: []
Exploring Operation: 96+32=128, Resulting Numbers: [62, 90, 128]
Generated Node #2: [62, 90, 128] from Operation: 96+32=128
Current State: 100:[62, 90, 128], Operations: ['96+32=128']
Exploring Operation: 90-62=28, Resulting Numbers: [128, 28]
Generated Node #3: [128, 28] from Operation: 90-62=28
Current State: 100:[128, 28], Operations: ['96+32=128', '90-62=28']
Exploring Operation: 128-28=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
5,
3,
73,
3
] | 87 | [
"5+73=78",
"3*3=9",
"78+9=87"
] | Current State: 87:[5, 3, 73, 3], Operations: []
Exploring Operation: 5+73=78, Resulting Numbers: [3, 3, 78]
Generated Node #2: [3, 3, 78] from Operation: 5+73=78
Current State: 87:[3, 3, 78], Operations: ['5+73=78']
Exploring Operation: 3*3=9, Resulting Numbers: [78, 9]
Generated Node #3: [78, 9] from Operation: 3*3=9
Current State: 87:[78, 9], Operations: ['5+73=78', '3*3=9']
Exploring Operation: 78+9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
20,
5,
83,
16
] | 22 | [
"20-16=4",
"5+83=88",
"88/4=22"
] | Current State: 22:[20, 5, 83, 16], Operations: []
Exploring Operation: 20-16=4, Resulting Numbers: [5, 83, 4]
Generated Node #2: [5, 83, 4] from Operation: 20-16=4
Current State: 22:[5, 83, 4], Operations: ['20-16=4']
Exploring Operation: 5+83=88, Resulting Numbers: [4, 88]
Generated Node #3: [4, 88] from Operation: 5+83=88
Current State: 22:[4, 88], Operations: ['20-16=4', '5+83=88']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
20,
4,
81,
21
] | 84 | [
"20+4=24",
"81-21=60",
"24+60=84"
] | Current State: 84:[20, 4, 81, 21], Operations: []
Exploring Operation: 20+4=24, Resulting Numbers: [81, 21, 24]
Generated Node #2: [81, 21, 24] from Operation: 20+4=24
Current State: 84:[81, 21, 24], Operations: ['20+4=24']
Exploring Operation: 81-21=60, Resulting Numbers: [24, 60]
Generated Node #3: [24, 60] from Operation: 81-21=60
Current State: 84:[24, 60], Operations: ['20+4=24', '81-21=60']
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
89,
81,
15,
2
] | 10 | [
"89+81=170",
"15+2=17",
"170/17=10"
] | Current State: 10:[89, 81, 15, 2], Operations: []
Exploring Operation: 89+81=170, Resulting Numbers: [15, 2, 170]
Generated Node #2: [15, 2, 170] from Operation: 89+81=170
Current State: 10:[15, 2, 170], Operations: ['89+81=170']
Exploring Operation: 15+2=17, Resulting Numbers: [170, 17]
Generated Node #3: [170, 17] from Operation: 15+2=17
Current State: 10:[170, 17], Operations: ['89+81=170', '15+2=17']
Exploring Operation: 170/17=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
9,
17,
54,
18
] | 44 | [
"17-9=8",
"54-18=36",
"8+36=44"
] | Current State: 44:[9, 17, 54, 18], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [54, 18, 8]
Generated Node #2: [54, 18, 8] from Operation: 17-9=8
Current State: 44:[54, 18, 8], Operations: ['17-9=8']
Exploring Operation: 54-18=36, Resulting Numbers: [8, 36]
Generated Node #3: [8, 36] from Operation: 54-18=36
Current State: 44:[8, 36], Operations: ['17-9=8', '54-18=36']
Exploring Operation: 8+36=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
51,
34,
28,
17
] | 25 | [
"51*28=1428",
"1428/34=42",
"42-17=25"
] | Current State: 25:[51, 34, 28, 17], Operations: []
Exploring Operation: 51*28=1428, Resulting Numbers: [34, 17, 1428]
Generated Node #2: [34, 17, 1428] from Operation: 51*28=1428
Current State: 25:[34, 17, 1428], Operations: ['51*28=1428']
Exploring Operation: 1428/34=42, Resulting Numbers: [17, 42]
Generated Node #3: [17, 42] from Operation: 1428/34=42
Current State: 25:[17, 42], Operations: ['51*28=1428', '1428/34=42']
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
5,
38,
59,
13
] | 79 | [
"38-5=33",
"59-13=46",
"33+46=79"
] | Current State: 79:[5, 38, 59, 13], Operations: []
Exploring Operation: 38-5=33, Resulting Numbers: [59, 13, 33]
Generated Node #2: [59, 13, 33] from Operation: 38-5=33
Current State: 79:[59, 13, 33], Operations: ['38-5=33']
Exploring Operation: 59-13=46, Resulting Numbers: [33, 46]
Generated Node #3: [33, 46] from Operation: 59-13=46
Current State: 79:[33, 46], Operations: ['38-5=33', '59-13=46']
Exploring Operation: 33+46=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
29,
55,
99,
2
] | 86 | [
"55-29=26",
"26/2=13",
"99-13=86"
] | Current State: 86:[29, 55, 99, 2], Operations: []
Exploring Operation: 55-29=26, Resulting Numbers: [99, 2, 26]
Generated Node #2: [99, 2, 26] from Operation: 55-29=26
Current State: 86:[99, 2, 26], Operations: ['55-29=26']
Exploring Operation: 26/2=13, Resulting Numbers: [99, 13]
Generated Node #3: [99, 13] from Operation: 26/2=13
Current State: 86:[99, 13], Operations: ['55-29=26', '26/2=13']
Exploring Operation: 99-13=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
79,
55,
85,
4
] | 41 | [
"85-55=30",
"4*30=120",
"120-79=41"
] | Current State: 41:[79, 55, 85, 4], Operations: []
Exploring Operation: 85-55=30, Resulting Numbers: [79, 4, 30]
Generated Node #2: [79, 4, 30] from Operation: 85-55=30
Current State: 41:[79, 4, 30], Operations: ['85-55=30']
Exploring Operation: 4*30=120, Resulting Numbers: [79, 120]
Generated Node #3: [79, 120] from Operation: 4*30=120
Current State: 41:[79, 120], Operations: ['85-55=30', '4*30=120']
Exploring Operation: 120-79=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
88,
9,
7,
53
] | 14 | [
"88*7=616",
"53-9=44",
"616/44=14"
] | Current State: 14:[88, 9, 7, 53], Operations: []
Exploring Operation: 88*7=616, Resulting Numbers: [9, 53, 616]
Generated Node #2: [9, 53, 616] from Operation: 88*7=616
Current State: 14:[9, 53, 616], Operations: ['88*7=616']
Exploring Operation: 53-9=44, Resulting Numbers: [616, 44]
Generated Node #3: [616, 44] from Operation: 53-9=44
Current State: 14:[616, 44], Operations: ['88*7=616', '53-9=44']
Exploring Operation: 616/44=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
36,
48,
65,
45
] | 43 | [
"48-45=3",
"36*3=108",
"108-65=43"
] | Current State: 43:[36, 48, 65, 45], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [36, 65, 3]
Generated Node #2: [36, 65, 3] from Operation: 48-45=3
Current State: 43:[36, 65, 3], Operations: ['48-45=3']
Exploring Operation: 36*3=108, Resulting Numbers: [65, 108]
Generated Node #3: [65, 108] from Operation: 36*3=108
Current State: 43:[65, 108], Operations: ['48-45=3', '36*3=108']
Exploring Operation: 108-65=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
81,
76,
65,
18
] | 42 | [
"81-76=5",
"65-18=47",
"47-5=42"
] | Current State: 42:[81, 76, 65, 18], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [65, 18, 5]
Generated Node #2: [65, 18, 5] from Operation: 81-76=5
Current State: 42:[65, 18, 5], Operations: ['81-76=5']
Exploring Operation: 65-18=47, Resulting Numbers: [5, 47]
Generated Node #3: [5, 47] from Operation: 65-18=47
Current State: 42:[5, 47], Operations: ['81-76=5', '65-18=47']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
12,
63,
61,
26
] | 32 | [
"63-61=2",
"12/2=6",
"26+6=32"
] | Current State: 32:[12, 63, 61, 26], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [12, 26, 2]
Generated Node #2: [12, 26, 2] from Operation: 63-61=2
Current State: 32:[12, 26, 2], Operations: ['63-61=2']
Exploring Operation: 12/2=6, Resulting Numbers: [26, 6]
Generated Node #3: [26, 6] from Operation: 12/2=6
Current State: 32:[26, 6], Operations: ['63-61=2', '12/2=6']
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
90,
88,
28,
4
] | 87 | [
"88-4=84",
"84/28=3",
"90-3=87"
] | Current State: 87:[90, 88, 28, 4], Operations: []
Exploring Operation: 88-4=84, Resulting Numbers: [90, 28, 84]
Generated Node #2: [90, 28, 84] from Operation: 88-4=84
Current State: 87:[90, 28, 84], Operations: ['88-4=84']
Exploring Operation: 84/28=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 84/28=3
Current State: 87:[90, 3], Operations: ['88-4=84', '84/28=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
28,
69,
3,
89
] | 51 | [
"69-28=41",
"3+89=92",
"92-41=51"
] | Current State: 51:[28, 69, 3, 89], Operations: []
Exploring Operation: 69-28=41, Resulting Numbers: [3, 89, 41]
Generated Node #2: [3, 89, 41] from Operation: 69-28=41
Current State: 51:[3, 89, 41], Operations: ['69-28=41']
Exploring Operation: 3+89=92, Resulting Numbers: [41, 92]
Generated Node #3: [41, 92] from Operation: 3+89=92
Current State: 51:[41, 92], Operations: ['69-28=41', '3+89=92']
Exploring Operation: 92-41=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
65,
38,
70,
61
] | 94 | [
"65+38=103",
"70-61=9",
"103-9=94"
] | Current State: 94:[65, 38, 70, 61], Operations: []
Exploring Operation: 65+38=103, Resulting Numbers: [70, 61, 103]
Generated Node #2: [70, 61, 103] from Operation: 65+38=103
Current State: 94:[70, 61, 103], Operations: ['65+38=103']
Exploring Operation: 70-61=9, Resulting Numbers: [103, 9]
Generated Node #3: [103, 9] from Operation: 70-61=9
Current State: 94:[103, 9], Operations: ['65+38=103', '70-61=9']
Exploring Operation: 103-9=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
56,
16,
1,
60
] | 14 | [
"16-1=15",
"56*15=840",
"840/60=14"
] | Current State: 14:[56, 16, 1, 60], Operations: []
Exploring Operation: 16-1=15, Resulting Numbers: [56, 60, 15]
Generated Node #2: [56, 60, 15] from Operation: 16-1=15
Current State: 14:[56, 60, 15], Operations: ['16-1=15']
Exploring Operation: 56*15=840, Resulting Numbers: [60, 840]
Generated Node #3: [60, 840] from Operation: 56*15=840
Current State: 14:[60, 840], Operations: ['16-1=15', '56*15=840']
Exploring Operation: 840/60=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
15,
65,
3,
53
] | 17 | [
"15/3=5",
"65-53=12",
"5+12=17"
] | Current State: 17:[15, 65, 3, 53], Operations: []
Exploring Operation: 15/3=5, Resulting Numbers: [65, 53, 5]
Generated Node #2: [65, 53, 5] from Operation: 15/3=5
Current State: 17:[65, 53, 5], Operations: ['15/3=5']
Exploring Operation: 65-53=12, Resulting Numbers: [5, 12]
Generated Node #3: [5, 12] from Operation: 65-53=12
Current State: 17:[5, 12], Operations: ['15/3=5', '65-53=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
35,
90,
15,
80
] | 93 | [
"80-35=45",
"45/15=3",
"90+3=93"
] | Current State: 93:[35, 90, 15, 80], Operations: []
Exploring Operation: 80-35=45, Resulting Numbers: [90, 15, 45]
Generated Node #2: [90, 15, 45] from Operation: 80-35=45
Current State: 93:[90, 15, 45], Operations: ['80-35=45']
Exploring Operation: 45/15=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 45/15=3
Current State: 93:[90, 3], Operations: ['80-35=45', '45/15=3']
Exploring Operation: 90+3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
67,
5,
88,
56
] | 30 | [
"67-5=62",
"88-56=32",
"62-32=30"
] | Current State: 30:[67, 5, 88, 56], Operations: []
Exploring Operation: 67-5=62, Resulting Numbers: [88, 56, 62]
Generated Node #2: [88, 56, 62] from Operation: 67-5=62
Current State: 30:[88, 56, 62], Operations: ['67-5=62']
Exploring Operation: 88-56=32, Resulting Numbers: [62, 32]
Generated Node #3: [62, 32] from Operation: 88-56=32
Current State: 30:[62, 32], Operations: ['67-5=62', '88-56=32']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
47,
29,
25,
93
] | 86 | [
"47-29=18",
"93-25=68",
"18+68=86"
] | Current State: 86:[47, 29, 25, 93], Operations: []
Exploring Operation: 47-29=18, Resulting Numbers: [25, 93, 18]
Generated Node #2: [25, 93, 18] from Operation: 47-29=18
Current State: 86:[25, 93, 18], Operations: ['47-29=18']
Exploring Operation: 93-25=68, Resulting Numbers: [18, 68]
Generated Node #3: [18, 68] from Operation: 93-25=68
Current State: 86:[18, 68], Operations: ['47-29=18', '93-25=68']
Exploring Operation: 18+68=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
32,
66,
43,
35
] | 70 | [
"43-35=8",
"32/8=4",
"66+4=70"
] | Current State: 70:[32, 66, 43, 35], Operations: []
Exploring Operation: 43-35=8, Resulting Numbers: [32, 66, 8]
Generated Node #2: [32, 66, 8] from Operation: 43-35=8
Current State: 70:[32, 66, 8], Operations: ['43-35=8']
Exploring Operation: 32/8=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 32/8=4
Current State: 70:[66, 4], Operations: ['43-35=8', '32/8=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
13,
75,
15,
23
] | 49 | [
"15-13=2",
"75+23=98",
"98/2=49"
] | Current State: 49:[13, 75, 15, 23], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [75, 23, 2]
Generated Node #2: [75, 23, 2] from Operation: 15-13=2
Current State: 49:[75, 23, 2], Operations: ['15-13=2']
Exploring Operation: 75+23=98, Resulting Numbers: [2, 98]
Generated Node #3: [2, 98] from Operation: 75+23=98
Current State: 49:[2, 98], Operations: ['15-13=2', '75+23=98']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
79,
78,
10,
67
] | 100 | [
"79+78=157",
"67-10=57",
"157-57=100"
] | Current State: 100:[79, 78, 10, 67], Operations: []
Exploring Operation: 79+78=157, Resulting Numbers: [10, 67, 157]
Generated Node #2: [10, 67, 157] from Operation: 79+78=157
Current State: 100:[10, 67, 157], Operations: ['79+78=157']
Exploring Operation: 67-10=57, Resulting Numbers: [157, 57]
Generated Node #3: [157, 57] from Operation: 67-10=57
Current State: 100:[157, 57], Operations: ['79+78=157', '67-10=57']
Exploring Operation: 157-57=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
82,
73,
29,
44
] | 83 | [
"73-29=44",
"44/44=1",
"82+1=83"
] | Current State: 83:[82, 73, 29, 44], Operations: []
Exploring Operation: 73-29=44, Resulting Numbers: [82, 44, 44]
Generated Node #2: [82, 44, 44] from Operation: 73-29=44
Current State: 83:[82, 44, 44], Operations: ['73-29=44']
Exploring Operation: 44/44=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 44/44=1
Current State: 83:[82, 1], Operations: ['73-29=44', '44/44=1']
Exploring Operation: 82+1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
9,
12,
36,
61
] | 47 | [
"12-9=3",
"36*3=108",
"108-61=47"
] | Current State: 47:[9, 12, 36, 61], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [36, 61, 3]
Generated Node #2: [36, 61, 3] from Operation: 12-9=3
Current State: 47:[36, 61, 3], Operations: ['12-9=3']
Exploring Operation: 36*3=108, Resulting Numbers: [61, 108]
Generated Node #3: [61, 108] from Operation: 36*3=108
Current State: 47:[61, 108], Operations: ['12-9=3', '36*3=108']
Exploring Operation: 108-61=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
30,
58,
89,
61
] | 79 | [
"61-58=3",
"30/3=10",
"89-10=79"
] | Current State: 79:[30, 58, 89, 61], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [30, 89, 3]
Generated Node #2: [30, 89, 3] from Operation: 61-58=3
Current State: 79:[30, 89, 3], Operations: ['61-58=3']
Exploring Operation: 30/3=10, Resulting Numbers: [89, 10]
Generated Node #3: [89, 10] from Operation: 30/3=10
Current State: 79:[89, 10], Operations: ['61-58=3', '30/3=10']
Exploring Operation: 89-10=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
16,
72,
31,
58
] | 61 | [
"16+72=88",
"58-31=27",
"88-27=61"
] | Current State: 61:[16, 72, 31, 58], Operations: []
Exploring Operation: 16+72=88, Resulting Numbers: [31, 58, 88]
Generated Node #2: [31, 58, 88] from Operation: 16+72=88
Current State: 61:[31, 58, 88], Operations: ['16+72=88']
Exploring Operation: 58-31=27, Resulting Numbers: [88, 27]
Generated Node #3: [88, 27] from Operation: 58-31=27
Current State: 61:[88, 27], Operations: ['16+72=88', '58-31=27']
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
46,
78,
10,
8
] | 14 | [
"78-46=32",
"10+8=18",
"32-18=14"
] | Current State: 14:[46, 78, 10, 8], Operations: []
Exploring Operation: 78-46=32, Resulting Numbers: [10, 8, 32]
Generated Node #2: [10, 8, 32] from Operation: 78-46=32
Current State: 14:[10, 8, 32], Operations: ['78-46=32']
Exploring Operation: 10+8=18, Resulting Numbers: [32, 18]
Generated Node #3: [32, 18] from Operation: 10+8=18
Current State: 14:[32, 18], Operations: ['78-46=32', '10+8=18']
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
34,
48,
94,
45
] | 34 | [
"94-48=46",
"46-45=1",
"34*1=34"
] | Current State: 34:[34, 48, 94, 45], Operations: []
Exploring Operation: 94-48=46, Resulting Numbers: [34, 45, 46]
Generated Node #2: [34, 45, 46] from Operation: 94-48=46
Current State: 34:[34, 45, 46], Operations: ['94-48=46']
Exploring Operation: 46-45=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 46-45=1
Current State: 34:[34, 1], Operations: ['94-48=46', '46-45=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
2,
88,
16,
43
] | 34 | [
"43-16=27",
"2*27=54",
"88-54=34"
] | Current State: 34:[2, 88, 16, 43], Operations: []
Exploring Operation: 43-16=27, Resulting Numbers: [2, 88, 27]
Generated Node #2: [2, 88, 27] from Operation: 43-16=27
Current State: 34:[2, 88, 27], Operations: ['43-16=27']
Exploring Operation: 2*27=54, Resulting Numbers: [88, 54]
Generated Node #3: [88, 54] from Operation: 2*27=54
Current State: 34:[88, 54], Operations: ['43-16=27', '2*27=54']
Exploring Operation: 88-54=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
34,
79,
11,
12
] | 68 | [
"79-34=45",
"11+12=23",
"45+23=68"
] | Current State: 68:[34, 79, 11, 12], Operations: []
Exploring Operation: 79-34=45, Resulting Numbers: [11, 12, 45]
Generated Node #2: [11, 12, 45] from Operation: 79-34=45
Current State: 68:[11, 12, 45], Operations: ['79-34=45']
Exploring Operation: 11+12=23, Resulting Numbers: [45, 23]
Generated Node #3: [45, 23] from Operation: 11+12=23
Current State: 68:[45, 23], Operations: ['79-34=45', '11+12=23']
Exploring Operation: 45+23=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
4,
63,
8,
42
] | 73 | [
"4*8=32",
"63+42=105",
"105-32=73"
] | Current State: 73:[4, 63, 8, 42], Operations: []
Exploring Operation: 4*8=32, Resulting Numbers: [63, 42, 32]
Generated Node #2: [63, 42, 32] from Operation: 4*8=32
Current State: 73:[63, 42, 32], Operations: ['4*8=32']
Exploring Operation: 63+42=105, Resulting Numbers: [32, 105]
Generated Node #3: [32, 105] from Operation: 63+42=105
Current State: 73:[32, 105], Operations: ['4*8=32', '63+42=105']
Exploring Operation: 105-32=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
2,
27,
88,
48
] | 41 | [
"88+48=136",
"136/2=68",
"68-27=41"
] | Current State: 41:[2, 27, 88, 48], Operations: []
Exploring Operation: 88+48=136, Resulting Numbers: [2, 27, 136]
Generated Node #2: [2, 27, 136] from Operation: 88+48=136
Current State: 41:[2, 27, 136], Operations: ['88+48=136']
Exploring Operation: 136/2=68, Resulting Numbers: [27, 68]
Generated Node #3: [27, 68] from Operation: 136/2=68
Current State: 41:[27, 68], Operations: ['88+48=136', '136/2=68']
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
95,
85,
69,
44
] | 35 | [
"95-85=10",
"69-44=25",
"10+25=35"
] | Current State: 35:[95, 85, 69, 44], Operations: []
Exploring Operation: 95-85=10, Resulting Numbers: [69, 44, 10]
Generated Node #2: [69, 44, 10] from Operation: 95-85=10
Current State: 35:[69, 44, 10], Operations: ['95-85=10']
Exploring Operation: 69-44=25, Resulting Numbers: [10, 25]
Generated Node #3: [10, 25] from Operation: 69-44=25
Current State: 35:[10, 25], Operations: ['95-85=10', '69-44=25']
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
11,
65,
3,
7
] | 77 | [
"11-7=4",
"3*4=12",
"65+12=77"
] | Current State: 77:[11, 65, 3, 7], Operations: []
Exploring Operation: 11-7=4, Resulting Numbers: [65, 3, 4]
Generated Node #2: [65, 3, 4] from Operation: 11-7=4
Current State: 77:[65, 3, 4], Operations: ['11-7=4']
Exploring Operation: 3*4=12, Resulting Numbers: [65, 12]
Generated Node #3: [65, 12] from Operation: 3*4=12
Current State: 77:[65, 12], Operations: ['11-7=4', '3*4=12']
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
45,
59,
5,
65
] | 55 | [
"65-45=20",
"20/5=4",
"59-4=55"
] | Current State: 55:[45, 59, 5, 65], Operations: []
Exploring Operation: 65-45=20, Resulting Numbers: [59, 5, 20]
Generated Node #2: [59, 5, 20] from Operation: 65-45=20
Current State: 55:[59, 5, 20], Operations: ['65-45=20']
Exploring Operation: 20/5=4, Resulting Numbers: [59, 4]
Generated Node #3: [59, 4] from Operation: 20/5=4
Current State: 55:[59, 4], Operations: ['65-45=20', '20/5=4']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
31,
89,
3,
88
] | 28 | [
"31-3=28",
"89-88=1",
"28*1=28"
] | Current State: 28:[31, 89, 3, 88], Operations: []
Exploring Operation: 31-3=28, Resulting Numbers: [89, 88, 28]
Generated Node #2: [89, 88, 28] from Operation: 31-3=28
Current State: 28:[89, 88, 28], Operations: ['31-3=28']
Exploring Operation: 89-88=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 89-88=1
Current State: 28:[28, 1], Operations: ['31-3=28', '89-88=1']
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
78,
39,
77,
58
] | 97 | [
"78-77=1",
"39+58=97",
"1*97=97"
] | Current State: 97:[78, 39, 77, 58], Operations: []
Exploring Operation: 78-77=1, Resulting Numbers: [39, 58, 1]
Generated Node #2: [39, 58, 1] from Operation: 78-77=1
Current State: 97:[39, 58, 1], Operations: ['78-77=1']
Exploring Operation: 39+58=97, Resulting Numbers: [1, 97]
Generated Node #3: [1, 97] from Operation: 39+58=97
Current State: 97:[1, 97], Operations: ['78-77=1', '39+58=97']
Exploring Operation: 1*97=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
80,
40,
18,
81
] | 90 | [
"80/40=2",
"18/2=9",
"81+9=90"
] | Current State: 90:[80, 40, 18, 81], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [18, 81, 2]
Generated Node #2: [18, 81, 2] from Operation: 80/40=2
Current State: 90:[18, 81, 2], Operations: ['80/40=2']
Exploring Operation: 18/2=9, Resulting Numbers: [81, 9]
Generated Node #3: [81, 9] from Operation: 18/2=9
Current State: 90:[81, 9], Operations: ['80/40=2', '18/2=9']
Exploring Operation: 81+9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
79,
57,
72,
6
] | 99 | [
"79-72=7",
"6*7=42",
"57+42=99"
] | Current State: 99:[79, 57, 72, 6], Operations: []
Exploring Operation: 79-72=7, Resulting Numbers: [57, 6, 7]
Generated Node #2: [57, 6, 7] from Operation: 79-72=7
Current State: 99:[57, 6, 7], Operations: ['79-72=7']
Exploring Operation: 6*7=42, Resulting Numbers: [57, 42]
Generated Node #3: [57, 42] from Operation: 6*7=42
Current State: 99:[57, 42], Operations: ['79-72=7', '6*7=42']
Exploring Operation: 57+42=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
99,
33,
15,
88
] | 20 | [
"99-33=66",
"15*88=1320",
"1320/66=20"
] | Current State: 20:[99, 33, 15, 88], Operations: []
Exploring Operation: 99-33=66, Resulting Numbers: [15, 88, 66]
Generated Node #2: [15, 88, 66] from Operation: 99-33=66
Current State: 20:[15, 88, 66], Operations: ['99-33=66']
Exploring Operation: 15*88=1320, Resulting Numbers: [66, 1320]
Generated Node #3: [66, 1320] from Operation: 15*88=1320
Current State: 20:[66, 1320], Operations: ['99-33=66', '15*88=1320']
Exploring Operation: 1320/66=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
9,
31,
5,
5
] | 70 | [
"9*5=45",
"45-31=14",
"5*14=70"
] | Current State: 70:[9, 31, 5, 5], Operations: []
Exploring Operation: 9*5=45, Resulting Numbers: [31, 45]
Generated Node #2: [31, 45] from Operation: 9*5=45
Current State: 70:[31, 45], Operations: ['9*5=45']
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,70 equal: Goal Reached
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
33,
56,
18,
17
] | 58 | [
"56-33=23",
"18+17=35",
"23+35=58"
] | Current State: 58:[33, 56, 18, 17], Operations: []
Exploring Operation: 56-33=23, Resulting Numbers: [18, 17, 23]
Generated Node #2: [18, 17, 23] from Operation: 56-33=23
Current State: 58:[18, 17, 23], Operations: ['56-33=23']
Exploring Operation: 18+17=35, Resulting Numbers: [23, 35]
Generated Node #3: [23, 35] from Operation: 18+17=35
Current State: 58:[23, 35], Operations: ['56-33=23', '18+17=35']
Exploring Operation: 23+35=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
10,
31,
15,
63
] | 92 | [
"15-10=5",
"31*5=155",
"155-63=92"
] | Current State: 92:[10, 31, 15, 63], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [31, 63, 5]
Generated Node #2: [31, 63, 5] from Operation: 15-10=5
Current State: 92:[31, 63, 5], Operations: ['15-10=5']
Exploring Operation: 31*5=155, Resulting Numbers: [63, 155]
Generated Node #3: [63, 155] from Operation: 31*5=155
Current State: 92:[63, 155], Operations: ['15-10=5', '31*5=155']
Exploring Operation: 155-63=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
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