nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
23,
32,
3,
10
] | 87 | [
"32-23=9",
"10*9=90",
"90-3=87"
] | Current State: 87:[23, 32, 3, 10], Operations: []
Exploring Operation: 32-23=9, Resulting Numbers: [3, 10, 9]
Generated Node #2: [3, 10, 9] from Operation: 32-23=9
Current State: 87:[3, 10, 9], Operations: ['32-23=9']
Exploring Operation: 10*9=90, Resulting Numbers: [3, 90]
Generated Node #3: [3, 90] from Operation: 10*9=90
Current State: 87:[3, 90], Operations: ['32-23=9', '10*9=90']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
27,
2,
1,
53
] | 26 | [
"53-27=26",
"2-1=1",
"26*1=26"
] | Current State: 26:[27, 2, 1, 53], Operations: []
Exploring Operation: 53-27=26, Resulting Numbers: [2, 1, 26]
Generated Node #2: [2, 1, 26] from Operation: 53-27=26
Current State: 26:[2, 1, 26], Operations: ['53-27=26']
Exploring Operation: 2-1=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 2-1=1
Current State: 26:[26, 1], Operations: ['53-27=26', '2-1=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
34,
40,
20,
60
] | 37 | [
"40-20=20",
"60/20=3",
"34+3=37"
] | Current State: 37:[34, 40, 20, 60], Operations: []
Exploring Operation: 40-20=20, Resulting Numbers: [34, 60, 20]
Generated Node #2: [34, 60, 20] from Operation: 40-20=20
Current State: 37:[34, 60, 20], Operations: ['40-20=20']
Exploring Operation: 60/20=3, Resulting Numbers: [34, 3]
Generated Node #3: [34, 3] from Operation: 60/20=3
Current State: 37:[34, 3], Operations: ['40-20=20', '60/20=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
16,
51,
14,
62
] | 22 | [
"16-14=2",
"62-51=11",
"2*11=22"
] | Current State: 22:[16, 51, 14, 62], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [51, 62, 2]
Generated Node #2: [51, 62, 2] from Operation: 16-14=2
Current State: 22:[51, 62, 2], Operations: ['16-14=2']
Exploring Operation: 62-51=11, Resulting Numbers: [2, 11]
Generated Node #3: [2, 11] from Operation: 62-51=11
Current State: 22:[2, 11], Operations: ['16-14=2', '62-51=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
25,
15,
17,
20
] | 40 | [
"25-17=8",
"20-15=5",
"8*5=40"
] | Current State: 40:[25, 15, 17, 20], Operations: []
Exploring Operation: 25-17=8, Resulting Numbers: [15, 20, 8]
Generated Node #2: [15, 20, 8] from Operation: 25-17=8
Current State: 40:[15, 20, 8], Operations: ['25-17=8']
Exploring Operation: 20-15=5, Resulting Numbers: [8, 5]
Generated Node #3: [8, 5] from Operation: 20-15=5
Current State: 40:[8, 5], Operations: ['25-17=8', '20-15=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
46,
27,
43,
30
] | 95 | [
"30-27=3",
"46*3=138",
"138-43=95"
] | Current State: 95:[46, 27, 43, 30], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [46, 43, 3]
Generated Node #2: [46, 43, 3] from Operation: 30-27=3
Current State: 95:[46, 43, 3], Operations: ['30-27=3']
Exploring Operation: 46*3=138, Resulting Numbers: [43, 138]
Generated Node #3: [43, 138] from Operation: 46*3=138
Current State: 95:[43, 138], Operations: ['30-27=3', '46*3=138']
Exploring Operation: 138-43=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
70,
17,
44,
65
] | 41 | [
"70-65=5",
"17*5=85",
"85-44=41"
] | Current State: 41:[70, 17, 44, 65], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [17, 44, 5]
Generated Node #2: [17, 44, 5] from Operation: 70-65=5
Current State: 41:[17, 44, 5], Operations: ['70-65=5']
Exploring Operation: 17*5=85, Resulting Numbers: [44, 85]
Generated Node #3: [44, 85] from Operation: 17*5=85
Current State: 41:[44, 85], Operations: ['70-65=5', '17*5=85']
Exploring Operation: 85-44=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
98,
86,
93,
16
] | 65 | [
"98-86=12",
"93-16=77",
"77-12=65"
] | Current State: 65:[98, 86, 93, 16], Operations: []
Exploring Operation: 98-86=12, Resulting Numbers: [93, 16, 12]
Generated Node #2: [93, 16, 12] from Operation: 98-86=12
Current State: 65:[93, 16, 12], Operations: ['98-86=12']
Exploring Operation: 93-16=77, Resulting Numbers: [12, 77]
Generated Node #3: [12, 77] from Operation: 93-16=77
Current State: 65:[12, 77], Operations: ['98-86=12', '93-16=77']
Exploring Operation: 77-12=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
65,
32,
90,
36
] | 87 | [
"65-32=33",
"90-36=54",
"33+54=87"
] | Current State: 87:[65, 32, 90, 36], Operations: []
Exploring Operation: 65-32=33, Resulting Numbers: [90, 36, 33]
Generated Node #2: [90, 36, 33] from Operation: 65-32=33
Current State: 87:[90, 36, 33], Operations: ['65-32=33']
Exploring Operation: 90-36=54, Resulting Numbers: [33, 54]
Generated Node #3: [33, 54] from Operation: 90-36=54
Current State: 87:[33, 54], Operations: ['65-32=33', '90-36=54']
Exploring Operation: 33+54=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
33,
3,
30,
78
] | 49 | [
"78-30=48",
"48/3=16",
"33+16=49"
] | Current State: 49:[33, 3, 30, 78], Operations: []
Exploring Operation: 78-30=48, Resulting Numbers: [33, 3, 48]
Generated Node #2: [33, 3, 48] from Operation: 78-30=48
Current State: 49:[33, 3, 48], Operations: ['78-30=48']
Exploring Operation: 48/3=16, Resulting Numbers: [33, 16]
Generated Node #3: [33, 16] from Operation: 48/3=16
Current State: 49:[33, 16], Operations: ['78-30=48', '48/3=16']
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
54,
65,
6,
97
] | 41 | [
"54/6=9",
"97-65=32",
"9+32=41"
] | Current State: 41:[54, 65, 6, 97], Operations: []
Exploring Operation: 54/6=9, Resulting Numbers: [65, 97, 9]
Generated Node #2: [65, 97, 9] from Operation: 54/6=9
Current State: 41:[65, 97, 9], Operations: ['54/6=9']
Exploring Operation: 97-65=32, Resulting Numbers: [9, 32]
Generated Node #3: [9, 32] from Operation: 97-65=32
Current State: 41:[9, 32], Operations: ['54/6=9', '97-65=32']
Exploring Operation: 9+32=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
36,
11,
16,
40
] | 30 | [
"11+16=27",
"40*27=1080",
"1080/36=30"
] | Current State: 30:[36, 11, 16, 40], Operations: []
Exploring Operation: 11+16=27, Resulting Numbers: [36, 40, 27]
Generated Node #2: [36, 40, 27] from Operation: 11+16=27
Current State: 30:[36, 40, 27], Operations: ['11+16=27']
Exploring Operation: 40*27=1080, Resulting Numbers: [36, 1080]
Generated Node #3: [36, 1080] from Operation: 40*27=1080
Current State: 30:[36, 1080], Operations: ['11+16=27', '40*27=1080']
Exploring Operation: 1080/36=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
5,
8,
3,
12
] | 25 | [
"5*8=40",
"3+12=15",
"40-15=25"
] | Current State: 25:[5, 8, 3, 12], Operations: []
Exploring Operation: 5*8=40, Resulting Numbers: [3, 12, 40]
Generated Node #2: [3, 12, 40] from Operation: 5*8=40
Current State: 25:[3, 12, 40], Operations: ['5*8=40']
Exploring Operation: 3+12=15, Resulting Numbers: [40, 15]
Generated Node #3: [40, 15] from Operation: 3+12=15
Current State: 25:[40, 15], Operations: ['5*8=40', '3+12=15']
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
5,
89,
46,
20
] | 31 | [
"89+46=135",
"20+135=155",
"155/5=31"
] | Current State: 31:[5, 89, 46, 20], Operations: []
Exploring Operation: 89+46=135, Resulting Numbers: [5, 20, 135]
Generated Node #2: [5, 20, 135] from Operation: 89+46=135
Current State: 31:[5, 20, 135], Operations: ['89+46=135']
Exploring Operation: 20+135=155, Resulting Numbers: [5, 155]
Generated Node #3: [5, 155] from Operation: 20+135=155
Current State: 31:[5, 155], Operations: ['89+46=135', '20+135=155']
Exploring Operation: 155/5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
39,
19,
39,
16
] | 52 | [
"19-16=3",
"39/3=13",
"39+13=52"
] | Current State: 52:[39, 19, 39, 16], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [39, 39, 3]
Generated Node #2: [39, 39, 3] from Operation: 19-16=3
Current State: 52:[39, 39, 3], Operations: ['19-16=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,52 equal: Goal Reached
Exploring Operation: 39+13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
51,
54,
5,
97
] | 82 | [
"54-51=3",
"5*3=15",
"97-15=82"
] | Current State: 82:[51, 54, 5, 97], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [5, 97, 3]
Generated Node #2: [5, 97, 3] from Operation: 54-51=3
Current State: 82:[5, 97, 3], Operations: ['54-51=3']
Exploring Operation: 5*3=15, Resulting Numbers: [97, 15]
Generated Node #3: [97, 15] from Operation: 5*3=15
Current State: 82:[97, 15], Operations: ['54-51=3', '5*3=15']
Exploring Operation: 97-15=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
11,
66,
37,
44
] | 74 | [
"44-11=33",
"66*37=2442",
"2442/33=74"
] | Current State: 74:[11, 66, 37, 44], Operations: []
Exploring Operation: 44-11=33, Resulting Numbers: [66, 37, 33]
Generated Node #2: [66, 37, 33] from Operation: 44-11=33
Current State: 74:[66, 37, 33], Operations: ['44-11=33']
Exploring Operation: 66*37=2442, Resulting Numbers: [33, 2442]
Generated Node #3: [33, 2442] from Operation: 66*37=2442
Current State: 74:[33, 2442], Operations: ['44-11=33', '66*37=2442']
Exploring Operation: 2442/33=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
2,
12,
54,
91
] | 86 | [
"91-54=37",
"2*37=74",
"12+74=86"
] | Current State: 86:[2, 12, 54, 91], Operations: []
Exploring Operation: 91-54=37, Resulting Numbers: [2, 12, 37]
Generated Node #2: [2, 12, 37] from Operation: 91-54=37
Current State: 86:[2, 12, 37], Operations: ['91-54=37']
Exploring Operation: 2*37=74, Resulting Numbers: [12, 74]
Generated Node #3: [12, 74] from Operation: 2*37=74
Current State: 86:[12, 74], Operations: ['91-54=37', '2*37=74']
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
95,
3,
8,
3
] | 22 | [
"8-3=5",
"95/5=19",
"3+19=22"
] | Current State: 22:[95, 3, 8, 3], Operations: []
Exploring Operation: 8-3=5, Resulting Numbers: [95, 5]
Generated Node #2: [95, 5] from Operation: 8-3=5
Current State: 22:[95, 5], Operations: ['8-3=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,22 equal: Goal Reached
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
71,
52,
54,
26
] | 47 | [
"71-52=19",
"54-26=28",
"19+28=47"
] | Current State: 47:[71, 52, 54, 26], Operations: []
Exploring Operation: 71-52=19, Resulting Numbers: [54, 26, 19]
Generated Node #2: [54, 26, 19] from Operation: 71-52=19
Current State: 47:[54, 26, 19], Operations: ['71-52=19']
Exploring Operation: 54-26=28, Resulting Numbers: [19, 28]
Generated Node #3: [19, 28] from Operation: 54-26=28
Current State: 47:[19, 28], Operations: ['71-52=19', '54-26=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
76,
1,
3,
66
] | 40 | [
"76-66=10",
"1+3=4",
"10*4=40"
] | Current State: 40:[76, 1, 3, 66], Operations: []
Exploring Operation: 76-66=10, Resulting Numbers: [1, 3, 10]
Generated Node #2: [1, 3, 10] from Operation: 76-66=10
Current State: 40:[1, 3, 10], Operations: ['76-66=10']
Exploring Operation: 1+3=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 1+3=4
Current State: 40:[10, 4], Operations: ['76-66=10', '1+3=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
3,
49,
23,
93
] | 15 | [
"49-23=26",
"3*26=78",
"93-78=15"
] | Current State: 15:[3, 49, 23, 93], Operations: []
Exploring Operation: 49-23=26, Resulting Numbers: [3, 93, 26]
Generated Node #2: [3, 93, 26] from Operation: 49-23=26
Current State: 15:[3, 93, 26], Operations: ['49-23=26']
Exploring Operation: 3*26=78, Resulting Numbers: [93, 78]
Generated Node #3: [93, 78] from Operation: 3*26=78
Current State: 15:[93, 78], Operations: ['49-23=26', '3*26=78']
Exploring Operation: 93-78=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
14,
19,
64,
90
] | 46 | [
"19-14=5",
"90/5=18",
"64-18=46"
] | Current State: 46:[14, 19, 64, 90], Operations: []
Exploring Operation: 19-14=5, Resulting Numbers: [64, 90, 5]
Generated Node #2: [64, 90, 5] from Operation: 19-14=5
Current State: 46:[64, 90, 5], Operations: ['19-14=5']
Exploring Operation: 90/5=18, Resulting Numbers: [64, 18]
Generated Node #3: [64, 18] from Operation: 90/5=18
Current State: 46:[64, 18], Operations: ['19-14=5', '90/5=18']
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
15,
64,
37,
80
] | 38 | [
"15+64=79",
"37+80=117",
"117-79=38"
] | Current State: 38:[15, 64, 37, 80], Operations: []
Exploring Operation: 15+64=79, Resulting Numbers: [37, 80, 79]
Generated Node #2: [37, 80, 79] from Operation: 15+64=79
Current State: 38:[37, 80, 79], Operations: ['15+64=79']
Exploring Operation: 37+80=117, Resulting Numbers: [79, 117]
Generated Node #3: [79, 117] from Operation: 37+80=117
Current State: 38:[79, 117], Operations: ['15+64=79', '37+80=117']
Exploring Operation: 117-79=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
28,
6,
62,
86
] | 43 | [
"28+86=114",
"114/6=19",
"62-19=43"
] | Current State: 43:[28, 6, 62, 86], Operations: []
Exploring Operation: 28+86=114, Resulting Numbers: [6, 62, 114]
Generated Node #2: [6, 62, 114] from Operation: 28+86=114
Current State: 43:[6, 62, 114], Operations: ['28+86=114']
Exploring Operation: 114/6=19, Resulting Numbers: [62, 19]
Generated Node #3: [62, 19] from Operation: 114/6=19
Current State: 43:[62, 19], Operations: ['28+86=114', '114/6=19']
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
25,
49,
48,
67
] | 92 | [
"25+67=92",
"49-48=1",
"92*1=92"
] | Current State: 92:[25, 49, 48, 67], Operations: []
Exploring Operation: 25+67=92, Resulting Numbers: [49, 48, 92]
Generated Node #2: [49, 48, 92] from Operation: 25+67=92
Current State: 92:[49, 48, 92], Operations: ['25+67=92']
Exploring Operation: 49-48=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 49-48=1
Current State: 92:[92, 1], Operations: ['25+67=92', '49-48=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
70,
69,
60,
5
] | 25 | [
"69-60=9",
"5*9=45",
"70-45=25"
] | Current State: 25:[70, 69, 60, 5], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [70, 5, 9]
Generated Node #2: [70, 5, 9] from Operation: 69-60=9
Current State: 25:[70, 5, 9], Operations: ['69-60=9']
Exploring Operation: 5*9=45, Resulting Numbers: [70, 45]
Generated Node #3: [70, 45] from Operation: 5*9=45
Current State: 25:[70, 45], Operations: ['69-60=9', '5*9=45']
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
18,
67,
99,
94
] | 54 | [
"67-18=49",
"99-94=5",
"49+5=54"
] | Current State: 54:[18, 67, 99, 94], Operations: []
Exploring Operation: 67-18=49, Resulting Numbers: [99, 94, 49]
Generated Node #2: [99, 94, 49] from Operation: 67-18=49
Current State: 54:[99, 94, 49], Operations: ['67-18=49']
Exploring Operation: 99-94=5, Resulting Numbers: [49, 5]
Generated Node #3: [49, 5] from Operation: 99-94=5
Current State: 54:[49, 5], Operations: ['67-18=49', '99-94=5']
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
25,
58,
92,
25
] | 100 | [
"58-25=33",
"92-25=67",
"33+67=100"
] | Current State: 100:[25, 58, 92, 25], Operations: []
Exploring Operation: 58-25=33, Resulting Numbers: [92, 33]
Generated Node #2: [92, 33] from Operation: 58-25=33
Current State: 100:[92, 33], Operations: ['58-25=33']
Exploring Operation: 92-25=67, Resulting Numbers: [33, 67]
Generated Node #3: [33, 67] from Operation: 92-25=67
Current State: 100:[33, 67], Operations: ['58-25=33', '92-25=67']
Exploring Operation: 33+67=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
58,
76,
14,
69
] | 51 | [
"58+76=134",
"14+69=83",
"134-83=51"
] | Current State: 51:[58, 76, 14, 69], Operations: []
Exploring Operation: 58+76=134, Resulting Numbers: [14, 69, 134]
Generated Node #2: [14, 69, 134] from Operation: 58+76=134
Current State: 51:[14, 69, 134], Operations: ['58+76=134']
Exploring Operation: 14+69=83, Resulting Numbers: [134, 83]
Generated Node #3: [134, 83] from Operation: 14+69=83
Current State: 51:[134, 83], Operations: ['58+76=134', '14+69=83']
Exploring Operation: 134-83=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
28,
5,
24,
12
] | 56 | [
"28-24=4",
"5*12=60",
"60-4=56"
] | Current State: 56:[28, 5, 24, 12], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [5, 12, 4]
Generated Node #2: [5, 12, 4] from Operation: 28-24=4
Current State: 56:[5, 12, 4], Operations: ['28-24=4']
Exploring Operation: 5*12=60, Resulting Numbers: [4, 60]
Generated Node #3: [4, 60] from Operation: 5*12=60
Current State: 56:[4, 60], Operations: ['28-24=4', '5*12=60']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
50,
94,
16,
92
] | 41 | [
"94-92=2",
"50/2=25",
"16+25=41"
] | Current State: 41:[50, 94, 16, 92], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [50, 16, 2]
Generated Node #2: [50, 16, 2] from Operation: 94-92=2
Current State: 41:[50, 16, 2], Operations: ['94-92=2']
Exploring Operation: 50/2=25, Resulting Numbers: [16, 25]
Generated Node #3: [16, 25] from Operation: 50/2=25
Current State: 41:[16, 25], Operations: ['94-92=2', '50/2=25']
Exploring Operation: 16+25=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
60,
92,
94,
72
] | 96 | [
"94-92=2",
"72/2=36",
"60+36=96"
] | Current State: 96:[60, 92, 94, 72], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [60, 72, 2]
Generated Node #2: [60, 72, 2] from Operation: 94-92=2
Current State: 96:[60, 72, 2], Operations: ['94-92=2']
Exploring Operation: 72/2=36, Resulting Numbers: [60, 36]
Generated Node #3: [60, 36] from Operation: 72/2=36
Current State: 96:[60, 36], Operations: ['94-92=2', '72/2=36']
Exploring Operation: 60+36=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
83,
6,
8,
47
] | 84 | [
"83-47=36",
"6*8=48",
"36+48=84"
] | Current State: 84:[83, 6, 8, 47], Operations: []
Exploring Operation: 83-47=36, Resulting Numbers: [6, 8, 36]
Generated Node #2: [6, 8, 36] from Operation: 83-47=36
Current State: 84:[6, 8, 36], Operations: ['83-47=36']
Exploring Operation: 6*8=48, Resulting Numbers: [36, 48]
Generated Node #3: [36, 48] from Operation: 6*8=48
Current State: 84:[36, 48], Operations: ['83-47=36', '6*8=48']
Exploring Operation: 36+48=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
46,
93,
18,
91
] | 30 | [
"46+93=139",
"18+91=109",
"139-109=30"
] | Current State: 30:[46, 93, 18, 91], Operations: []
Exploring Operation: 46+93=139, Resulting Numbers: [18, 91, 139]
Generated Node #2: [18, 91, 139] from Operation: 46+93=139
Current State: 30:[18, 91, 139], Operations: ['46+93=139']
Exploring Operation: 18+91=109, Resulting Numbers: [139, 109]
Generated Node #3: [139, 109] from Operation: 18+91=109
Current State: 30:[139, 109], Operations: ['46+93=139', '18+91=109']
Exploring Operation: 139-109=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
3,
93,
89,
12
] | 19 | [
"3+93=96",
"89-12=77",
"96-77=19"
] | Current State: 19:[3, 93, 89, 12], Operations: []
Exploring Operation: 3+93=96, Resulting Numbers: [89, 12, 96]
Generated Node #2: [89, 12, 96] from Operation: 3+93=96
Current State: 19:[89, 12, 96], Operations: ['3+93=96']
Exploring Operation: 89-12=77, Resulting Numbers: [96, 77]
Generated Node #3: [96, 77] from Operation: 89-12=77
Current State: 19:[96, 77], Operations: ['3+93=96', '89-12=77']
Exploring Operation: 96-77=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
13,
3,
98,
69
] | 68 | [
"13*3=39",
"98-69=29",
"39+29=68"
] | Current State: 68:[13, 3, 98, 69], Operations: []
Exploring Operation: 13*3=39, Resulting Numbers: [98, 69, 39]
Generated Node #2: [98, 69, 39] from Operation: 13*3=39
Current State: 68:[98, 69, 39], Operations: ['13*3=39']
Exploring Operation: 98-69=29, Resulting Numbers: [39, 29]
Generated Node #3: [39, 29] from Operation: 98-69=29
Current State: 68:[39, 29], Operations: ['13*3=39', '98-69=29']
Exploring Operation: 39+29=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
52,
39,
65,
58
] | 66 | [
"52+58=110",
"39*110=4290",
"4290/65=66"
] | Current State: 66:[52, 39, 65, 58], Operations: []
Exploring Operation: 52+58=110, Resulting Numbers: [39, 65, 110]
Generated Node #2: [39, 65, 110] from Operation: 52+58=110
Current State: 66:[39, 65, 110], Operations: ['52+58=110']
Exploring Operation: 39*110=4290, Resulting Numbers: [65, 4290]
Generated Node #3: [65, 4290] from Operation: 39*110=4290
Current State: 66:[65, 4290], Operations: ['52+58=110', '39*110=4290']
Exploring Operation: 4290/65=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
12,
91,
19,
78
] | 84 | [
"91-19=72",
"72/12=6",
"78+6=84"
] | Current State: 84:[12, 91, 19, 78], Operations: []
Exploring Operation: 91-19=72, Resulting Numbers: [12, 78, 72]
Generated Node #2: [12, 78, 72] from Operation: 91-19=72
Current State: 84:[12, 78, 72], Operations: ['91-19=72']
Exploring Operation: 72/12=6, Resulting Numbers: [78, 6]
Generated Node #3: [78, 6] from Operation: 72/12=6
Current State: 84:[78, 6], Operations: ['91-19=72', '72/12=6']
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
34,
88,
95,
99
] | 72 | [
"34+88=122",
"95+99=194",
"194-122=72"
] | Current State: 72:[34, 88, 95, 99], Operations: []
Exploring Operation: 34+88=122, Resulting Numbers: [95, 99, 122]
Generated Node #2: [95, 99, 122] from Operation: 34+88=122
Current State: 72:[95, 99, 122], Operations: ['34+88=122']
Exploring Operation: 95+99=194, Resulting Numbers: [122, 194]
Generated Node #3: [122, 194] from Operation: 95+99=194
Current State: 72:[122, 194], Operations: ['34+88=122', '95+99=194']
Exploring Operation: 194-122=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
66,
58,
1,
20
] | 13 | [
"66-58=8",
"1+20=21",
"21-8=13"
] | Current State: 13:[66, 58, 1, 20], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [1, 20, 8]
Generated Node #2: [1, 20, 8] from Operation: 66-58=8
Current State: 13:[1, 20, 8], Operations: ['66-58=8']
Exploring Operation: 1+20=21, Resulting Numbers: [8, 21]
Generated Node #3: [8, 21] from Operation: 1+20=21
Current State: 13:[8, 21], Operations: ['66-58=8', '1+20=21']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
41,
60,
24,
64
] | 68 | [
"41-24=17",
"64-60=4",
"17*4=68"
] | Current State: 68:[41, 60, 24, 64], Operations: []
Exploring Operation: 41-24=17, Resulting Numbers: [60, 64, 17]
Generated Node #2: [60, 64, 17] from Operation: 41-24=17
Current State: 68:[60, 64, 17], Operations: ['41-24=17']
Exploring Operation: 64-60=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 64-60=4
Current State: 68:[17, 4], Operations: ['41-24=17', '64-60=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
84,
5,
95,
12
] | 77 | [
"95-84=11",
"12-5=7",
"11*7=77"
] | Current State: 77:[84, 5, 95, 12], Operations: []
Exploring Operation: 95-84=11, Resulting Numbers: [5, 12, 11]
Generated Node #2: [5, 12, 11] from Operation: 95-84=11
Current State: 77:[5, 12, 11], Operations: ['95-84=11']
Exploring Operation: 12-5=7, Resulting Numbers: [11, 7]
Generated Node #3: [11, 7] from Operation: 12-5=7
Current State: 77:[11, 7], Operations: ['95-84=11', '12-5=7']
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
4,
33,
39,
38
] | 20 | [
"33+39=72",
"72/4=18",
"38-18=20"
] | Current State: 20:[4, 33, 39, 38], Operations: []
Exploring Operation: 33+39=72, Resulting Numbers: [4, 38, 72]
Generated Node #2: [4, 38, 72] from Operation: 33+39=72
Current State: 20:[4, 38, 72], Operations: ['33+39=72']
Exploring Operation: 72/4=18, Resulting Numbers: [38, 18]
Generated Node #3: [38, 18] from Operation: 72/4=18
Current State: 20:[38, 18], Operations: ['33+39=72', '72/4=18']
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
69,
41,
51,
55
] | 24 | [
"69*41=2829",
"51*55=2805",
"2829-2805=24"
] | Current State: 24:[69, 41, 51, 55], Operations: []
Exploring Operation: 69*41=2829, Resulting Numbers: [51, 55, 2829]
Generated Node #2: [51, 55, 2829] from Operation: 69*41=2829
Current State: 24:[51, 55, 2829], Operations: ['69*41=2829']
Exploring Operation: 51*55=2805, Resulting Numbers: [2829, 2805]
Generated Node #3: [2829, 2805] from Operation: 51*55=2805
Current State: 24:[2829, 2805], Operations: ['69*41=2829', '51*55=2805']
Exploring Operation: 2829-2805=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
50,
48,
75,
46
] | 100 | [
"48-46=2",
"50/2=25",
"75+25=100"
] | Current State: 100:[50, 48, 75, 46], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [50, 75, 2]
Generated Node #2: [50, 75, 2] from Operation: 48-46=2
Current State: 100:[50, 75, 2], Operations: ['48-46=2']
Exploring Operation: 50/2=25, Resulting Numbers: [75, 25]
Generated Node #3: [75, 25] from Operation: 50/2=25
Current State: 100:[75, 25], Operations: ['48-46=2', '50/2=25']
Exploring Operation: 75+25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
19,
4,
11,
31
] | 27 | [
"19-4=15",
"11+31=42",
"42-15=27"
] | Current State: 27:[19, 4, 11, 31], Operations: []
Exploring Operation: 19-4=15, Resulting Numbers: [11, 31, 15]
Generated Node #2: [11, 31, 15] from Operation: 19-4=15
Current State: 27:[11, 31, 15], Operations: ['19-4=15']
Exploring Operation: 11+31=42, Resulting Numbers: [15, 42]
Generated Node #3: [15, 42] from Operation: 11+31=42
Current State: 27:[15, 42], Operations: ['19-4=15', '11+31=42']
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
4,
52,
77,
6
] | 85 | [
"52-4=48",
"48/6=8",
"77+8=85"
] | Current State: 85:[4, 52, 77, 6], Operations: []
Exploring Operation: 52-4=48, Resulting Numbers: [77, 6, 48]
Generated Node #2: [77, 6, 48] from Operation: 52-4=48
Current State: 85:[77, 6, 48], Operations: ['52-4=48']
Exploring Operation: 48/6=8, Resulting Numbers: [77, 8]
Generated Node #3: [77, 8] from Operation: 48/6=8
Current State: 85:[77, 8], Operations: ['52-4=48', '48/6=8']
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
49,
40,
3,
41
] | 30 | [
"49+41=90",
"40*3=120",
"120-90=30"
] | Current State: 30:[49, 40, 3, 41], Operations: []
Exploring Operation: 49+41=90, Resulting Numbers: [40, 3, 90]
Generated Node #2: [40, 3, 90] from Operation: 49+41=90
Current State: 30:[40, 3, 90], Operations: ['49+41=90']
Exploring Operation: 40*3=120, Resulting Numbers: [90, 120]
Generated Node #3: [90, 120] from Operation: 40*3=120
Current State: 30:[90, 120], Operations: ['49+41=90', '40*3=120']
Exploring Operation: 120-90=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
73,
10,
51,
67
] | 37 | [
"73+67=140",
"140/10=14",
"51-14=37"
] | Current State: 37:[73, 10, 51, 67], Operations: []
Exploring Operation: 73+67=140, Resulting Numbers: [10, 51, 140]
Generated Node #2: [10, 51, 140] from Operation: 73+67=140
Current State: 37:[10, 51, 140], Operations: ['73+67=140']
Exploring Operation: 140/10=14, Resulting Numbers: [51, 14]
Generated Node #3: [51, 14] from Operation: 140/10=14
Current State: 37:[51, 14], Operations: ['73+67=140', '140/10=14']
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
75,
67,
58,
12
] | 78 | [
"75-67=8",
"58+12=70",
"8+70=78"
] | Current State: 78:[75, 67, 58, 12], Operations: []
Exploring Operation: 75-67=8, Resulting Numbers: [58, 12, 8]
Generated Node #2: [58, 12, 8] from Operation: 75-67=8
Current State: 78:[58, 12, 8], Operations: ['75-67=8']
Exploring Operation: 58+12=70, Resulting Numbers: [8, 70]
Generated Node #3: [8, 70] from Operation: 58+12=70
Current State: 78:[8, 70], Operations: ['75-67=8', '58+12=70']
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
98,
41,
43,
31
] | 69 | [
"98-41=57",
"43-31=12",
"57+12=69"
] | Current State: 69:[98, 41, 43, 31], Operations: []
Exploring Operation: 98-41=57, Resulting Numbers: [43, 31, 57]
Generated Node #2: [43, 31, 57] from Operation: 98-41=57
Current State: 69:[43, 31, 57], Operations: ['98-41=57']
Exploring Operation: 43-31=12, Resulting Numbers: [57, 12]
Generated Node #3: [57, 12] from Operation: 43-31=12
Current State: 69:[57, 12], Operations: ['98-41=57', '43-31=12']
Exploring Operation: 57+12=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
75,
74,
64,
44
] | 78 | [
"75-64=11",
"44/11=4",
"74+4=78"
] | Current State: 78:[75, 74, 64, 44], Operations: []
Exploring Operation: 75-64=11, Resulting Numbers: [74, 44, 11]
Generated Node #2: [74, 44, 11] from Operation: 75-64=11
Current State: 78:[74, 44, 11], Operations: ['75-64=11']
Exploring Operation: 44/11=4, Resulting Numbers: [74, 4]
Generated Node #3: [74, 4] from Operation: 44/11=4
Current State: 78:[74, 4], Operations: ['75-64=11', '44/11=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
41,
46,
54,
44
] | 97 | [
"41+46=87",
"54-44=10",
"87+10=97"
] | Current State: 97:[41, 46, 54, 44], Operations: []
Exploring Operation: 41+46=87, Resulting Numbers: [54, 44, 87]
Generated Node #2: [54, 44, 87] from Operation: 41+46=87
Current State: 97:[54, 44, 87], Operations: ['41+46=87']
Exploring Operation: 54-44=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 54-44=10
Current State: 97:[87, 10], Operations: ['41+46=87', '54-44=10']
Exploring Operation: 87+10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
77,
4,
86,
83
] | 20 | [
"77+86=163",
"163-83=80",
"80/4=20"
] | Current State: 20:[77, 4, 86, 83], Operations: []
Exploring Operation: 77+86=163, Resulting Numbers: [4, 83, 163]
Generated Node #2: [4, 83, 163] from Operation: 77+86=163
Current State: 20:[4, 83, 163], Operations: ['77+86=163']
Exploring Operation: 163-83=80, Resulting Numbers: [4, 80]
Generated Node #3: [4, 80] from Operation: 163-83=80
Current State: 20:[4, 80], Operations: ['77+86=163', '163-83=80']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
13,
88,
38,
4
] | 51 | [
"13+88=101",
"38*4=152",
"152-101=51"
] | Current State: 51:[13, 88, 38, 4], Operations: []
Exploring Operation: 13+88=101, Resulting Numbers: [38, 4, 101]
Generated Node #2: [38, 4, 101] from Operation: 13+88=101
Current State: 51:[38, 4, 101], Operations: ['13+88=101']
Exploring Operation: 38*4=152, Resulting Numbers: [101, 152]
Generated Node #3: [101, 152] from Operation: 38*4=152
Current State: 51:[101, 152], Operations: ['13+88=101', '38*4=152']
Exploring Operation: 152-101=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
13,
47,
18,
15
] | 10 | [
"47+18=65",
"65/13=5",
"15-5=10"
] | Current State: 10:[13, 47, 18, 15], Operations: []
Exploring Operation: 47+18=65, Resulting Numbers: [13, 15, 65]
Generated Node #2: [13, 15, 65] from Operation: 47+18=65
Current State: 10:[13, 15, 65], Operations: ['47+18=65']
Exploring Operation: 65/13=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 65/13=5
Current State: 10:[15, 5], Operations: ['47+18=65', '65/13=5']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
80,
9,
29,
35
] | 16 | [
"80+29=109",
"35+109=144",
"144/9=16"
] | Current State: 16:[80, 9, 29, 35], Operations: []
Exploring Operation: 80+29=109, Resulting Numbers: [9, 35, 109]
Generated Node #2: [9, 35, 109] from Operation: 80+29=109
Current State: 16:[9, 35, 109], Operations: ['80+29=109']
Exploring Operation: 35+109=144, Resulting Numbers: [9, 144]
Generated Node #3: [9, 144] from Operation: 35+109=144
Current State: 16:[9, 144], Operations: ['80+29=109', '35+109=144']
Exploring Operation: 144/9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
71,
25,
56,
43
] | 83 | [
"71+25=96",
"56-43=13",
"96-13=83"
] | Current State: 83:[71, 25, 56, 43], Operations: []
Exploring Operation: 71+25=96, Resulting Numbers: [56, 43, 96]
Generated Node #2: [56, 43, 96] from Operation: 71+25=96
Current State: 83:[56, 43, 96], Operations: ['71+25=96']
Exploring Operation: 56-43=13, Resulting Numbers: [96, 13]
Generated Node #3: [96, 13] from Operation: 56-43=13
Current State: 83:[96, 13], Operations: ['71+25=96', '56-43=13']
Exploring Operation: 96-13=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
3,
82,
96,
12
] | 93 | [
"3+82=85",
"96/12=8",
"85+8=93"
] | Current State: 93:[3, 82, 96, 12], Operations: []
Exploring Operation: 3+82=85, Resulting Numbers: [96, 12, 85]
Generated Node #2: [96, 12, 85] from Operation: 3+82=85
Current State: 93:[96, 12, 85], Operations: ['3+82=85']
Exploring Operation: 96/12=8, Resulting Numbers: [85, 8]
Generated Node #3: [85, 8] from Operation: 96/12=8
Current State: 93:[85, 8], Operations: ['3+82=85', '96/12=8']
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
90,
37,
49,
94
] | 48 | [
"94-90=4",
"49-37=12",
"4*12=48"
] | Current State: 48:[90, 37, 49, 94], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [37, 49, 4]
Generated Node #2: [37, 49, 4] from Operation: 94-90=4
Current State: 48:[37, 49, 4], Operations: ['94-90=4']
Exploring Operation: 49-37=12, Resulting Numbers: [4, 12]
Generated Node #3: [4, 12] from Operation: 49-37=12
Current State: 48:[4, 12], Operations: ['94-90=4', '49-37=12']
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
8,
56,
14,
82
] | 75 | [
"56/8=7",
"82-14=68",
"7+68=75"
] | Current State: 75:[8, 56, 14, 82], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [14, 82, 7]
Generated Node #2: [14, 82, 7] from Operation: 56/8=7
Current State: 75:[14, 82, 7], Operations: ['56/8=7']
Exploring Operation: 82-14=68, Resulting Numbers: [7, 68]
Generated Node #3: [7, 68] from Operation: 82-14=68
Current State: 75:[7, 68], Operations: ['56/8=7', '82-14=68']
Exploring Operation: 7+68=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
89,
20,
12,
1
] | 54 | [
"89+1=90",
"12*90=1080",
"1080/20=54"
] | Current State: 54:[89, 20, 12, 1], Operations: []
Exploring Operation: 89+1=90, Resulting Numbers: [20, 12, 90]
Generated Node #2: [20, 12, 90] from Operation: 89+1=90
Current State: 54:[20, 12, 90], Operations: ['89+1=90']
Exploring Operation: 12*90=1080, Resulting Numbers: [20, 1080]
Generated Node #3: [20, 1080] from Operation: 12*90=1080
Current State: 54:[20, 1080], Operations: ['89+1=90', '12*90=1080']
Exploring Operation: 1080/20=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
5,
79,
75,
97
] | 98 | [
"79-5=74",
"75+97=172",
"172-74=98"
] | Current State: 98:[5, 79, 75, 97], Operations: []
Exploring Operation: 79-5=74, Resulting Numbers: [75, 97, 74]
Generated Node #2: [75, 97, 74] from Operation: 79-5=74
Current State: 98:[75, 97, 74], Operations: ['79-5=74']
Exploring Operation: 75+97=172, Resulting Numbers: [74, 172]
Generated Node #3: [74, 172] from Operation: 75+97=172
Current State: 98:[74, 172], Operations: ['79-5=74', '75+97=172']
Exploring Operation: 172-74=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
42,
14,
92,
25
] | 39 | [
"42-14=28",
"92-25=67",
"67-28=39"
] | Current State: 39:[42, 14, 92, 25], Operations: []
Exploring Operation: 42-14=28, Resulting Numbers: [92, 25, 28]
Generated Node #2: [92, 25, 28] from Operation: 42-14=28
Current State: 39:[92, 25, 28], Operations: ['42-14=28']
Exploring Operation: 92-25=67, Resulting Numbers: [28, 67]
Generated Node #3: [28, 67] from Operation: 92-25=67
Current State: 39:[28, 67], Operations: ['42-14=28', '92-25=67']
Exploring Operation: 67-28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
49,
21,
27,
31
] | 81 | [
"49-21=28",
"31-28=3",
"27*3=81"
] | Current State: 81:[49, 21, 27, 31], Operations: []
Exploring Operation: 49-21=28, Resulting Numbers: [27, 31, 28]
Generated Node #2: [27, 31, 28] from Operation: 49-21=28
Current State: 81:[27, 31, 28], Operations: ['49-21=28']
Exploring Operation: 31-28=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 31-28=3
Current State: 81:[27, 3], Operations: ['49-21=28', '31-28=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
4,
16,
40,
57
] | 51 | [
"40/4=10",
"57-16=41",
"10+41=51"
] | Current State: 51:[4, 16, 40, 57], Operations: []
Exploring Operation: 40/4=10, Resulting Numbers: [16, 57, 10]
Generated Node #2: [16, 57, 10] from Operation: 40/4=10
Current State: 51:[16, 57, 10], Operations: ['40/4=10']
Exploring Operation: 57-16=41, Resulting Numbers: [10, 41]
Generated Node #3: [10, 41] from Operation: 57-16=41
Current State: 51:[10, 41], Operations: ['40/4=10', '57-16=41']
Exploring Operation: 10+41=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
1,
36,
36,
18
] | 16 | [
"18-1=17",
"36/36=1",
"17-1=16"
] | Current State: 16:[1, 36, 36, 18], Operations: []
Exploring Operation: 18-1=17, Resulting Numbers: [36, 36, 17]
Generated Node #2: [36, 36, 17] from Operation: 18-1=17
Current State: 16:[36, 36, 17], Operations: ['18-1=17']
Exploring Operation: 36/36=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 36/36=1
Current State: 16:[17, 1], Operations: ['18-1=17', '36/36=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
32,
52,
43,
64
] | 87 | [
"52-32=20",
"43+64=107",
"107-20=87"
] | Current State: 87:[32, 52, 43, 64], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [43, 64, 20]
Generated Node #2: [43, 64, 20] from Operation: 52-32=20
Current State: 87:[43, 64, 20], Operations: ['52-32=20']
Exploring Operation: 43+64=107, Resulting Numbers: [20, 107]
Generated Node #3: [20, 107] from Operation: 43+64=107
Current State: 87:[20, 107], Operations: ['52-32=20', '43+64=107']
Exploring Operation: 107-20=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
21,
75,
21,
63
] | 51 | [
"75-21=54",
"63/21=3",
"54-3=51"
] | Current State: 51:[21, 75, 21, 63], Operations: []
Exploring Operation: 75-21=54, Resulting Numbers: [63, 54]
Generated Node #2: [63, 54] from Operation: 75-21=54
Current State: 51:[63, 54], Operations: ['75-21=54']
Exploring Operation: 63/21=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 63/21=3
Current State: 51:[54, 3], Operations: ['75-21=54', '63/21=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
43,
85,
53,
98
] | 83 | [
"43+85=128",
"98-53=45",
"128-45=83"
] | Current State: 83:[43, 85, 53, 98], Operations: []
Exploring Operation: 43+85=128, Resulting Numbers: [53, 98, 128]
Generated Node #2: [53, 98, 128] from Operation: 43+85=128
Current State: 83:[53, 98, 128], Operations: ['43+85=128']
Exploring Operation: 98-53=45, Resulting Numbers: [128, 45]
Generated Node #3: [128, 45] from Operation: 98-53=45
Current State: 83:[128, 45], Operations: ['43+85=128', '98-53=45']
Exploring Operation: 128-45=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
19,
53,
22,
12
] | 44 | [
"53-19=34",
"22-12=10",
"34+10=44"
] | Current State: 44:[19, 53, 22, 12], Operations: []
Exploring Operation: 53-19=34, Resulting Numbers: [22, 12, 34]
Generated Node #2: [22, 12, 34] from Operation: 53-19=34
Current State: 44:[22, 12, 34], Operations: ['53-19=34']
Exploring Operation: 22-12=10, Resulting Numbers: [34, 10]
Generated Node #3: [34, 10] from Operation: 22-12=10
Current State: 44:[34, 10], Operations: ['53-19=34', '22-12=10']
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
38,
72,
54,
38
] | 50 | [
"72-38=34",
"54-38=16",
"34+16=50"
] | Current State: 50:[38, 72, 54, 38], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [54, 34]
Generated Node #2: [54, 34] from Operation: 72-38=34
Current State: 50:[54, 34], Operations: ['72-38=34']
Exploring Operation: 54-38=16, Resulting Numbers: [34, 16]
Generated Node #3: [34, 16] from Operation: 54-38=16
Current State: 50:[34, 16], Operations: ['72-38=34', '54-38=16']
Exploring Operation: 34+16=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
14,
67,
33,
53
] | 32 | [
"67-14=53",
"53/53=1",
"33-1=32"
] | Current State: 32:[14, 67, 33, 53], Operations: []
Exploring Operation: 67-14=53, Resulting Numbers: [33, 53, 53]
Generated Node #2: [33, 53, 53] from Operation: 67-14=53
Current State: 32:[33, 53, 53], Operations: ['67-14=53']
Exploring Operation: 53/53=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 53/53=1
Current State: 32:[33, 1], Operations: ['67-14=53', '53/53=1']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
44,
93,
23,
19
] | 53 | [
"93-44=49",
"23-19=4",
"49+4=53"
] | Current State: 53:[44, 93, 23, 19], Operations: []
Exploring Operation: 93-44=49, Resulting Numbers: [23, 19, 49]
Generated Node #2: [23, 19, 49] from Operation: 93-44=49
Current State: 53:[23, 19, 49], Operations: ['93-44=49']
Exploring Operation: 23-19=4, Resulting Numbers: [49, 4]
Generated Node #3: [49, 4] from Operation: 23-19=4
Current State: 53:[49, 4], Operations: ['93-44=49', '23-19=4']
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
61,
95,
44,
39
] | 39 | [
"95-61=34",
"44-39=5",
"34+5=39"
] | Current State: 39:[61, 95, 44, 39], Operations: []
Exploring Operation: 95-61=34, Resulting Numbers: [44, 39, 34]
Generated Node #2: [44, 39, 34] from Operation: 95-61=34
Current State: 39:[44, 39, 34], Operations: ['95-61=34']
Exploring Operation: 44-39=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 44-39=5
Current State: 39:[34, 5], Operations: ['95-61=34', '44-39=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
77,
82,
6,
48
] | 49 | [
"82-77=5",
"6+48=54",
"54-5=49"
] | Current State: 49:[77, 82, 6, 48], Operations: []
Exploring Operation: 82-77=5, Resulting Numbers: [6, 48, 5]
Generated Node #2: [6, 48, 5] from Operation: 82-77=5
Current State: 49:[6, 48, 5], Operations: ['82-77=5']
Exploring Operation: 6+48=54, Resulting Numbers: [5, 54]
Generated Node #3: [5, 54] from Operation: 6+48=54
Current State: 49:[5, 54], Operations: ['82-77=5', '6+48=54']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
63,
36,
37,
73
] | 63 | [
"63+36=99",
"73-37=36",
"99-36=63"
] | Current State: 63:[63, 36, 37, 73], Operations: []
Exploring Operation: 63+36=99, Resulting Numbers: [37, 73, 99]
Generated Node #2: [37, 73, 99] from Operation: 63+36=99
Current State: 63:[37, 73, 99], Operations: ['63+36=99']
Exploring Operation: 73-37=36, Resulting Numbers: [99, 36]
Generated Node #3: [99, 36] from Operation: 73-37=36
Current State: 63:[99, 36], Operations: ['63+36=99', '73-37=36']
Exploring Operation: 99-36=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
38,
80,
91,
29
] | 99 | [
"38-29=9",
"91-80=11",
"9*11=99"
] | Current State: 99:[38, 80, 91, 29], Operations: []
Exploring Operation: 38-29=9, Resulting Numbers: [80, 91, 9]
Generated Node #2: [80, 91, 9] from Operation: 38-29=9
Current State: 99:[80, 91, 9], Operations: ['38-29=9']
Exploring Operation: 91-80=11, Resulting Numbers: [9, 11]
Generated Node #3: [9, 11] from Operation: 91-80=11
Current State: 99:[9, 11], Operations: ['38-29=9', '91-80=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
20,
40,
30,
88
] | 60 | [
"40/20=2",
"88-30=58",
"2+58=60"
] | Current State: 60:[20, 40, 30, 88], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [30, 88, 2]
Generated Node #2: [30, 88, 2] from Operation: 40/20=2
Current State: 60:[30, 88, 2], Operations: ['40/20=2']
Exploring Operation: 88-30=58, Resulting Numbers: [2, 58]
Generated Node #3: [2, 58] from Operation: 88-30=58
Current State: 60:[2, 58], Operations: ['40/20=2', '88-30=58']
Exploring Operation: 2+58=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
5,
73,
75,
10
] | 13 | [
"5+73=78",
"75-10=65",
"78-65=13"
] | Current State: 13:[5, 73, 75, 10], Operations: []
Exploring Operation: 5+73=78, Resulting Numbers: [75, 10, 78]
Generated Node #2: [75, 10, 78] from Operation: 5+73=78
Current State: 13:[75, 10, 78], Operations: ['5+73=78']
Exploring Operation: 75-10=65, Resulting Numbers: [78, 65]
Generated Node #3: [78, 65] from Operation: 75-10=65
Current State: 13:[78, 65], Operations: ['5+73=78', '75-10=65']
Exploring Operation: 78-65=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
12,
47,
83,
70
] | 72 | [
"12+47=59",
"83-70=13",
"59+13=72"
] | Current State: 72:[12, 47, 83, 70], Operations: []
Exploring Operation: 12+47=59, Resulting Numbers: [83, 70, 59]
Generated Node #2: [83, 70, 59] from Operation: 12+47=59
Current State: 72:[83, 70, 59], Operations: ['12+47=59']
Exploring Operation: 83-70=13, Resulting Numbers: [59, 13]
Generated Node #3: [59, 13] from Operation: 83-70=13
Current State: 72:[59, 13], Operations: ['12+47=59', '83-70=13']
Exploring Operation: 59+13=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
77,
40,
28,
72
] | 36 | [
"77-72=5",
"40/5=8",
"28+8=36"
] | Current State: 36:[77, 40, 28, 72], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [40, 28, 5]
Generated Node #2: [40, 28, 5] from Operation: 77-72=5
Current State: 36:[40, 28, 5], Operations: ['77-72=5']
Exploring Operation: 40/5=8, Resulting Numbers: [28, 8]
Generated Node #3: [28, 8] from Operation: 40/5=8
Current State: 36:[28, 8], Operations: ['77-72=5', '40/5=8']
Exploring Operation: 28+8=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
60,
45,
34,
86
] | 67 | [
"60-45=15",
"86-34=52",
"15+52=67"
] | Current State: 67:[60, 45, 34, 86], Operations: []
Exploring Operation: 60-45=15, Resulting Numbers: [34, 86, 15]
Generated Node #2: [34, 86, 15] from Operation: 60-45=15
Current State: 67:[34, 86, 15], Operations: ['60-45=15']
Exploring Operation: 86-34=52, Resulting Numbers: [15, 52]
Generated Node #3: [15, 52] from Operation: 86-34=52
Current State: 67:[15, 52], Operations: ['60-45=15', '86-34=52']
Exploring Operation: 15+52=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
23,
48,
11,
43
] | 60 | [
"23-11=12",
"48-43=5",
"12*5=60"
] | Current State: 60:[23, 48, 11, 43], Operations: []
Exploring Operation: 23-11=12, Resulting Numbers: [48, 43, 12]
Generated Node #2: [48, 43, 12] from Operation: 23-11=12
Current State: 60:[48, 43, 12], Operations: ['23-11=12']
Exploring Operation: 48-43=5, Resulting Numbers: [12, 5]
Generated Node #3: [12, 5] from Operation: 48-43=5
Current State: 60:[12, 5], Operations: ['23-11=12', '48-43=5']
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
59,
82,
54,
96
] | 99 | [
"59+82=141",
"96-54=42",
"141-42=99"
] | Current State: 99:[59, 82, 54, 96], Operations: []
Exploring Operation: 59+82=141, Resulting Numbers: [54, 96, 141]
Generated Node #2: [54, 96, 141] from Operation: 59+82=141
Current State: 99:[54, 96, 141], Operations: ['59+82=141']
Exploring Operation: 96-54=42, Resulting Numbers: [141, 42]
Generated Node #3: [141, 42] from Operation: 96-54=42
Current State: 99:[141, 42], Operations: ['59+82=141', '96-54=42']
Exploring Operation: 141-42=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
90,
4,
95,
8
] | 12 | [
"95-90=5",
"4*5=20",
"20-8=12"
] | Current State: 12:[90, 4, 95, 8], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [4, 8, 5]
Generated Node #2: [4, 8, 5] from Operation: 95-90=5
Current State: 12:[4, 8, 5], Operations: ['95-90=5']
Exploring Operation: 4*5=20, Resulting Numbers: [8, 20]
Generated Node #3: [8, 20] from Operation: 4*5=20
Current State: 12:[8, 20], Operations: ['95-90=5', '4*5=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
65,
10,
51,
50
] | 54 | [
"65-10=55",
"51-50=1",
"55-1=54"
] | Current State: 54:[65, 10, 51, 50], Operations: []
Exploring Operation: 65-10=55, Resulting Numbers: [51, 50, 55]
Generated Node #2: [51, 50, 55] from Operation: 65-10=55
Current State: 54:[51, 50, 55], Operations: ['65-10=55']
Exploring Operation: 51-50=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 51-50=1
Current State: 54:[55, 1], Operations: ['65-10=55', '51-50=1']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
20,
39,
4,
48
] | 78 | [
"20+4=24",
"39*48=1872",
"1872/24=78"
] | Current State: 78:[20, 39, 4, 48], Operations: []
Exploring Operation: 20+4=24, Resulting Numbers: [39, 48, 24]
Generated Node #2: [39, 48, 24] from Operation: 20+4=24
Current State: 78:[39, 48, 24], Operations: ['20+4=24']
Exploring Operation: 39*48=1872, Resulting Numbers: [24, 1872]
Generated Node #3: [24, 1872] from Operation: 39*48=1872
Current State: 78:[24, 1872], Operations: ['20+4=24', '39*48=1872']
Exploring Operation: 1872/24=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
12,
4,
2,
46
] | 50 | [
"12*4=48",
"2*48=96",
"96-46=50"
] | Current State: 50:[12, 4, 2, 46], Operations: []
Exploring Operation: 12*4=48, Resulting Numbers: [2, 46, 48]
Generated Node #2: [2, 46, 48] from Operation: 12*4=48
Current State: 50:[2, 46, 48], Operations: ['12*4=48']
Exploring Operation: 2*48=96, Resulting Numbers: [46, 96]
Generated Node #3: [46, 96] from Operation: 2*48=96
Current State: 50:[46, 96], Operations: ['12*4=48', '2*48=96']
Exploring Operation: 96-46=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
28,
31,
45,
14
] | 74 | [
"28/14=2",
"31+45=76",
"76-2=74"
] | Current State: 74:[28, 31, 45, 14], Operations: []
Exploring Operation: 28/14=2, Resulting Numbers: [31, 45, 2]
Generated Node #2: [31, 45, 2] from Operation: 28/14=2
Current State: 74:[31, 45, 2], Operations: ['28/14=2']
Exploring Operation: 31+45=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 31+45=76
Current State: 74:[2, 76], Operations: ['28/14=2', '31+45=76']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
81,
44,
65,
2
] | 52 | [
"81-65=16",
"16/2=8",
"44+8=52"
] | Current State: 52:[81, 44, 65, 2], Operations: []
Exploring Operation: 81-65=16, Resulting Numbers: [44, 2, 16]
Generated Node #2: [44, 2, 16] from Operation: 81-65=16
Current State: 52:[44, 2, 16], Operations: ['81-65=16']
Exploring Operation: 16/2=8, Resulting Numbers: [44, 8]
Generated Node #3: [44, 8] from Operation: 16/2=8
Current State: 52:[44, 8], Operations: ['81-65=16', '16/2=8']
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
33,
93,
6,
30
] | 20 | [
"93-33=60",
"60/6=10",
"30-10=20"
] | Current State: 20:[33, 93, 6, 30], Operations: []
Exploring Operation: 93-33=60, Resulting Numbers: [6, 30, 60]
Generated Node #2: [6, 30, 60] from Operation: 93-33=60
Current State: 20:[6, 30, 60], Operations: ['93-33=60']
Exploring Operation: 60/6=10, Resulting Numbers: [30, 10]
Generated Node #3: [30, 10] from Operation: 60/6=10
Current State: 20:[30, 10], Operations: ['93-33=60', '60/6=10']
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
50,
8,
79,
61
] | 82 | [
"50+8=58",
"79+61=140",
"140-58=82"
] | Current State: 82:[50, 8, 79, 61], Operations: []
Exploring Operation: 50+8=58, Resulting Numbers: [79, 61, 58]
Generated Node #2: [79, 61, 58] from Operation: 50+8=58
Current State: 82:[79, 61, 58], Operations: ['50+8=58']
Exploring Operation: 79+61=140, Resulting Numbers: [58, 140]
Generated Node #3: [58, 140] from Operation: 79+61=140
Current State: 82:[58, 140], Operations: ['50+8=58', '79+61=140']
Exploring Operation: 140-58=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
5,
7,
9,
40
] | 79 | [
"40/5=8",
"9*8=72",
"7+72=79"
] | Current State: 79:[5, 7, 9, 40], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [7, 9, 8]
Generated Node #2: [7, 9, 8] from Operation: 40/5=8
Current State: 79:[7, 9, 8], Operations: ['40/5=8']
Exploring Operation: 9*8=72, Resulting Numbers: [7, 72]
Generated Node #3: [7, 72] from Operation: 9*8=72
Current State: 79:[7, 72], Operations: ['40/5=8', '9*8=72']
Exploring Operation: 7+72=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
67,
64,
12,
91
] | 87 | [
"67-64=3",
"12/3=4",
"91-4=87"
] | Current State: 87:[67, 64, 12, 91], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [12, 91, 3]
Generated Node #2: [12, 91, 3] from Operation: 67-64=3
Current State: 87:[12, 91, 3], Operations: ['67-64=3']
Exploring Operation: 12/3=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 12/3=4
Current State: 87:[91, 4], Operations: ['67-64=3', '12/3=4']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
48,
20,
88,
76
] | 78 | [
"88-48=40",
"40/20=2",
"76+2=78"
] | Current State: 78:[48, 20, 88, 76], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [20, 76, 40]
Generated Node #2: [20, 76, 40] from Operation: 88-48=40
Current State: 78:[20, 76, 40], Operations: ['88-48=40']
Exploring Operation: 40/20=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 40/20=2
Current State: 78:[76, 2], Operations: ['88-48=40', '40/20=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
62,
18,
1,
4
] | 49 | [
"62-18=44",
"1+4=5",
"44+5=49"
] | Current State: 49:[62, 18, 1, 4], Operations: []
Exploring Operation: 62-18=44, Resulting Numbers: [1, 4, 44]
Generated Node #2: [1, 4, 44] from Operation: 62-18=44
Current State: 49:[1, 4, 44], Operations: ['62-18=44']
Exploring Operation: 1+4=5, Resulting Numbers: [44, 5]
Generated Node #3: [44, 5] from Operation: 1+4=5
Current State: 49:[44, 5], Operations: ['62-18=44', '1+4=5']
Exploring Operation: 44+5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
1,
31,
49,
13
] | 93 | [
"1*31=31",
"49+13=62",
"31+62=93"
] | Current State: 93:[1, 31, 49, 13], Operations: []
Exploring Operation: 1*31=31, Resulting Numbers: [49, 13, 31]
Generated Node #2: [49, 13, 31] from Operation: 1*31=31
Current State: 93:[49, 13, 31], Operations: ['1*31=31']
Exploring Operation: 49+13=62, Resulting Numbers: [31, 62]
Generated Node #3: [31, 62] from Operation: 49+13=62
Current State: 93:[31, 62], Operations: ['1*31=31', '49+13=62']
Exploring Operation: 31+62=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
26,
46,
23,
34
] | 83 | [
"26+46=72",
"34-23=11",
"72+11=83"
] | Current State: 83:[26, 46, 23, 34], Operations: []
Exploring Operation: 26+46=72, Resulting Numbers: [23, 34, 72]
Generated Node #2: [23, 34, 72] from Operation: 26+46=72
Current State: 83:[23, 34, 72], Operations: ['26+46=72']
Exploring Operation: 34-23=11, Resulting Numbers: [72, 11]
Generated Node #3: [72, 11] from Operation: 34-23=11
Current State: 83:[72, 11], Operations: ['26+46=72', '34-23=11']
Exploring Operation: 72+11=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
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