nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
99,
18,
26,
90
] | 17 | [
"99-18=81",
"90-26=64",
"81-64=17"
] | Current State: 17:[99, 18, 26, 90], Operations: []
Exploring Operation: 99-18=81, Resulting Numbers: [26, 90, 81]
Generated Node #2: [26, 90, 81] from Operation: 99-18=81
Current State: 17:[26, 90, 81], Operations: ['99-18=81']
Exploring Operation: 90-26=64, Resulting Numbers: [81, 64]
Generated Node #3: [81, 64] from Operation: 90-26=64
Current State: 17:[81, 64], Operations: ['99-18=81', '90-26=64']
Exploring Operation: 81-64=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
2,
41,
32,
49
] | 72 | [
"2*32=64",
"49-41=8",
"64+8=72"
] | Current State: 72:[2, 41, 32, 49], Operations: []
Exploring Operation: 2*32=64, Resulting Numbers: [41, 49, 64]
Generated Node #2: [41, 49, 64] from Operation: 2*32=64
Current State: 72:[41, 49, 64], Operations: ['2*32=64']
Exploring Operation: 49-41=8, Resulting Numbers: [64, 8]
Generated Node #3: [64, 8] from Operation: 49-41=8
Current State: 72:[64, 8], Operations: ['2*32=64', '49-41=8']
Exploring Operation: 64+8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
83,
83,
15,
60
] | 91 | [
"83+83=166",
"15+60=75",
"166-75=91"
] | Current State: 91:[83, 83, 15, 60], Operations: []
Exploring Operation: 83+83=166, Resulting Numbers: [15, 60, 166]
Generated Node #2: [15, 60, 166] from Operation: 83+83=166
Current State: 91:[15, 60, 166], Operations: ['83+83=166']
Exploring Operation: 15+60=75, Resulting Numbers: [166, 75]
Generated Node #3: [166, 75] from Operation: 15+60=75
Current State: 91:[166, 75], Operations: ['83+83=166', '15+60=75']
Exploring Operation: 166-75=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
38,
2,
76,
45
] | 41 | [
"38/2=19",
"76/19=4",
"45-4=41"
] | Current State: 41:[38, 2, 76, 45], Operations: []
Exploring Operation: 38/2=19, Resulting Numbers: [76, 45, 19]
Generated Node #2: [76, 45, 19] from Operation: 38/2=19
Current State: 41:[76, 45, 19], Operations: ['38/2=19']
Exploring Operation: 76/19=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 76/19=4
Current State: 41:[45, 4], Operations: ['38/2=19', '76/19=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
79,
69,
88,
11
] | 18 | [
"79-69=10",
"88/11=8",
"10+8=18"
] | Current State: 18:[79, 69, 88, 11], Operations: []
Exploring Operation: 79-69=10, Resulting Numbers: [88, 11, 10]
Generated Node #2: [88, 11, 10] from Operation: 79-69=10
Current State: 18:[88, 11, 10], Operations: ['79-69=10']
Exploring Operation: 88/11=8, Resulting Numbers: [10, 8]
Generated Node #3: [10, 8] from Operation: 88/11=8
Current State: 18:[10, 8], Operations: ['79-69=10', '88/11=8']
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
31,
38,
33,
66
] | 71 | [
"31+38=69",
"66/33=2",
"69+2=71"
] | Current State: 71:[31, 38, 33, 66], Operations: []
Exploring Operation: 31+38=69, Resulting Numbers: [33, 66, 69]
Generated Node #2: [33, 66, 69] from Operation: 31+38=69
Current State: 71:[33, 66, 69], Operations: ['31+38=69']
Exploring Operation: 66/33=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 66/33=2
Current State: 71:[69, 2], Operations: ['31+38=69', '66/33=2']
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
70,
22,
22,
2
] | 48 | [
"70+22=92",
"22*2=44",
"92-44=48"
] | Current State: 48:[70, 22, 22, 2], Operations: []
Exploring Operation: 70+22=92, Resulting Numbers: [2, 92]
Generated Node #2: [2, 92] from Operation: 70+22=92
Current State: 48:[2, 92], Operations: ['70+22=92']
Exploring Operation: 22*2=44, Resulting Numbers: [92, 44]
Generated Node #3: [92, 44] from Operation: 22*2=44
Current State: 48:[92, 44], Operations: ['70+22=92', '22*2=44']
Exploring Operation: 92-44=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
83,
31,
5,
67
] | 10 | [
"83-31=52",
"67-5=62",
"62-52=10"
] | Current State: 10:[83, 31, 5, 67], Operations: []
Exploring Operation: 83-31=52, Resulting Numbers: [5, 67, 52]
Generated Node #2: [5, 67, 52] from Operation: 83-31=52
Current State: 10:[5, 67, 52], Operations: ['83-31=52']
Exploring Operation: 67-5=62, Resulting Numbers: [52, 62]
Generated Node #3: [52, 62] from Operation: 67-5=62
Current State: 10:[52, 62], Operations: ['83-31=52', '67-5=62']
Exploring Operation: 62-52=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
17,
31,
54,
95
] | 27 | [
"31-17=14",
"95-54=41",
"41-14=27"
] | Current State: 27:[17, 31, 54, 95], Operations: []
Exploring Operation: 31-17=14, Resulting Numbers: [54, 95, 14]
Generated Node #2: [54, 95, 14] from Operation: 31-17=14
Current State: 27:[54, 95, 14], Operations: ['31-17=14']
Exploring Operation: 95-54=41, Resulting Numbers: [14, 41]
Generated Node #3: [14, 41] from Operation: 95-54=41
Current State: 27:[14, 41], Operations: ['31-17=14', '95-54=41']
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
17,
70,
89,
95
] | 12 | [
"89-70=19",
"95/19=5",
"17-5=12"
] | Current State: 12:[17, 70, 89, 95], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [17, 95, 19]
Generated Node #2: [17, 95, 19] from Operation: 89-70=19
Current State: 12:[17, 95, 19], Operations: ['89-70=19']
Exploring Operation: 95/19=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 95/19=5
Current State: 12:[17, 5], Operations: ['89-70=19', '95/19=5']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
2,
78,
72,
25
] | 22 | [
"78-72=6",
"6/2=3",
"25-3=22"
] | Current State: 22:[2, 78, 72, 25], Operations: []
Exploring Operation: 78-72=6, Resulting Numbers: [2, 25, 6]
Generated Node #2: [2, 25, 6] from Operation: 78-72=6
Current State: 22:[2, 25, 6], Operations: ['78-72=6']
Exploring Operation: 6/2=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 6/2=3
Current State: 22:[25, 3], Operations: ['78-72=6', '6/2=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
72,
54,
15,
62
] | 95 | [
"72-54=18",
"15+62=77",
"18+77=95"
] | Current State: 95:[72, 54, 15, 62], Operations: []
Exploring Operation: 72-54=18, Resulting Numbers: [15, 62, 18]
Generated Node #2: [15, 62, 18] from Operation: 72-54=18
Current State: 95:[15, 62, 18], Operations: ['72-54=18']
Exploring Operation: 15+62=77, Resulting Numbers: [18, 77]
Generated Node #3: [18, 77] from Operation: 15+62=77
Current State: 95:[18, 77], Operations: ['72-54=18', '15+62=77']
Exploring Operation: 18+77=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
43,
54,
4,
64
] | 30 | [
"64-43=21",
"4*21=84",
"84-54=30"
] | Current State: 30:[43, 54, 4, 64], Operations: []
Exploring Operation: 64-43=21, Resulting Numbers: [54, 4, 21]
Generated Node #2: [54, 4, 21] from Operation: 64-43=21
Current State: 30:[54, 4, 21], Operations: ['64-43=21']
Exploring Operation: 4*21=84, Resulting Numbers: [54, 84]
Generated Node #3: [54, 84] from Operation: 4*21=84
Current State: 30:[54, 84], Operations: ['64-43=21', '4*21=84']
Exploring Operation: 84-54=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
99,
65,
84,
41
] | 88 | [
"99+65=164",
"164/41=4",
"84+4=88"
] | Current State: 88:[99, 65, 84, 41], Operations: []
Exploring Operation: 99+65=164, Resulting Numbers: [84, 41, 164]
Generated Node #2: [84, 41, 164] from Operation: 99+65=164
Current State: 88:[84, 41, 164], Operations: ['99+65=164']
Exploring Operation: 164/41=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 164/41=4
Current State: 88:[84, 4], Operations: ['99+65=164', '164/41=4']
Exploring Operation: 84+4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
24,
16,
15,
65
] | 55 | [
"24-16=8",
"15*8=120",
"120-65=55"
] | Current State: 55:[24, 16, 15, 65], Operations: []
Exploring Operation: 24-16=8, Resulting Numbers: [15, 65, 8]
Generated Node #2: [15, 65, 8] from Operation: 24-16=8
Current State: 55:[15, 65, 8], Operations: ['24-16=8']
Exploring Operation: 15*8=120, Resulting Numbers: [65, 120]
Generated Node #3: [65, 120] from Operation: 15*8=120
Current State: 55:[65, 120], Operations: ['24-16=8', '15*8=120']
Exploring Operation: 120-65=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
40,
95,
90,
80
] | 84 | [
"95*80=7600",
"7600-40=7560",
"7560/90=84"
] | Current State: 84:[40, 95, 90, 80], Operations: []
Exploring Operation: 95*80=7600, Resulting Numbers: [40, 90, 7600]
Generated Node #2: [40, 90, 7600] from Operation: 95*80=7600
Current State: 84:[40, 90, 7600], Operations: ['95*80=7600']
Exploring Operation: 7600-40=7560, Resulting Numbers: [90, 7560]
Generated Node #3: [90, 7560] from Operation: 7600-40=7560
Current State: 84:[90, 7560], Operations: ['95*80=7600', '7600-40=7560']
Exploring Operation: 7560/90=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
27,
5,
68,
83
] | 90 | [
"27+83=110",
"110/5=22",
"68+22=90"
] | Current State: 90:[27, 5, 68, 83], Operations: []
Exploring Operation: 27+83=110, Resulting Numbers: [5, 68, 110]
Generated Node #2: [5, 68, 110] from Operation: 27+83=110
Current State: 90:[5, 68, 110], Operations: ['27+83=110']
Exploring Operation: 110/5=22, Resulting Numbers: [68, 22]
Generated Node #3: [68, 22] from Operation: 110/5=22
Current State: 90:[68, 22], Operations: ['27+83=110', '110/5=22']
Exploring Operation: 68+22=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
92,
46,
85,
65
] | 40 | [
"92/46=2",
"85-65=20",
"2*20=40"
] | Current State: 40:[92, 46, 85, 65], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [85, 65, 2]
Generated Node #2: [85, 65, 2] from Operation: 92/46=2
Current State: 40:[85, 65, 2], Operations: ['92/46=2']
Exploring Operation: 85-65=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 85-65=20
Current State: 40:[2, 20], Operations: ['92/46=2', '85-65=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
6,
21,
80,
8
] | 73 | [
"21-6=15",
"80+8=88",
"88-15=73"
] | Current State: 73:[6, 21, 80, 8], Operations: []
Exploring Operation: 21-6=15, Resulting Numbers: [80, 8, 15]
Generated Node #2: [80, 8, 15] from Operation: 21-6=15
Current State: 73:[80, 8, 15], Operations: ['21-6=15']
Exploring Operation: 80+8=88, Resulting Numbers: [15, 88]
Generated Node #3: [15, 88] from Operation: 80+8=88
Current State: 73:[15, 88], Operations: ['21-6=15', '80+8=88']
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
23,
55,
16,
45
] | 70 | [
"23-16=7",
"55-45=10",
"7*10=70"
] | Current State: 70:[23, 55, 16, 45], Operations: []
Exploring Operation: 23-16=7, Resulting Numbers: [55, 45, 7]
Generated Node #2: [55, 45, 7] from Operation: 23-16=7
Current State: 70:[55, 45, 7], Operations: ['23-16=7']
Exploring Operation: 55-45=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 55-45=10
Current State: 70:[7, 10], Operations: ['23-16=7', '55-45=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
19,
32,
61,
13
] | 35 | [
"32-19=13",
"61-13=48",
"48-13=35"
] | Current State: 35:[19, 32, 61, 13], Operations: []
Exploring Operation: 32-19=13, Resulting Numbers: [61, 13, 13]
Generated Node #2: [61, 13, 13] from Operation: 32-19=13
Current State: 35:[61, 13, 13], Operations: ['32-19=13']
Exploring Operation: 61-13=48, Resulting Numbers: [48]
48,35 equal: Goal Reached
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
44,
12,
76,
8
] | 28 | [
"44+12=56",
"76+8=84",
"84-56=28"
] | Current State: 28:[44, 12, 76, 8], Operations: []
Exploring Operation: 44+12=56, Resulting Numbers: [76, 8, 56]
Generated Node #2: [76, 8, 56] from Operation: 44+12=56
Current State: 28:[76, 8, 56], Operations: ['44+12=56']
Exploring Operation: 76+8=84, Resulting Numbers: [56, 84]
Generated Node #3: [56, 84] from Operation: 76+8=84
Current State: 28:[56, 84], Operations: ['44+12=56', '76+8=84']
Exploring Operation: 84-56=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
29,
46,
63,
7
] | 94 | [
"29*7=203",
"46+63=109",
"203-109=94"
] | Current State: 94:[29, 46, 63, 7], Operations: []
Exploring Operation: 29*7=203, Resulting Numbers: [46, 63, 203]
Generated Node #2: [46, 63, 203] from Operation: 29*7=203
Current State: 94:[46, 63, 203], Operations: ['29*7=203']
Exploring Operation: 46+63=109, Resulting Numbers: [203, 109]
Generated Node #3: [203, 109] from Operation: 46+63=109
Current State: 94:[203, 109], Operations: ['29*7=203', '46+63=109']
Exploring Operation: 203-109=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
60,
82,
52,
31
] | 29 | [
"82-52=30",
"60/30=2",
"31-2=29"
] | Current State: 29:[60, 82, 52, 31], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [60, 31, 30]
Generated Node #2: [60, 31, 30] from Operation: 82-52=30
Current State: 29:[60, 31, 30], Operations: ['82-52=30']
Exploring Operation: 60/30=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 60/30=2
Current State: 29:[31, 2], Operations: ['82-52=30', '60/30=2']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
81,
36,
98,
94
] | 41 | [
"81-36=45",
"98-94=4",
"45-4=41"
] | Current State: 41:[81, 36, 98, 94], Operations: []
Exploring Operation: 81-36=45, Resulting Numbers: [98, 94, 45]
Generated Node #2: [98, 94, 45] from Operation: 81-36=45
Current State: 41:[98, 94, 45], Operations: ['81-36=45']
Exploring Operation: 98-94=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 98-94=4
Current State: 41:[45, 4], Operations: ['81-36=45', '98-94=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
85,
5,
40,
22
] | 99 | [
"85+22=107",
"40/5=8",
"107-8=99"
] | Current State: 99:[85, 5, 40, 22], Operations: []
Exploring Operation: 85+22=107, Resulting Numbers: [5, 40, 107]
Generated Node #2: [5, 40, 107] from Operation: 85+22=107
Current State: 99:[5, 40, 107], Operations: ['85+22=107']
Exploring Operation: 40/5=8, Resulting Numbers: [107, 8]
Generated Node #3: [107, 8] from Operation: 40/5=8
Current State: 99:[107, 8], Operations: ['85+22=107', '40/5=8']
Exploring Operation: 107-8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
24,
80,
60,
50
] | 54 | [
"80-24=56",
"60+50=110",
"110-56=54"
] | Current State: 54:[24, 80, 60, 50], Operations: []
Exploring Operation: 80-24=56, Resulting Numbers: [60, 50, 56]
Generated Node #2: [60, 50, 56] from Operation: 80-24=56
Current State: 54:[60, 50, 56], Operations: ['80-24=56']
Exploring Operation: 60+50=110, Resulting Numbers: [56, 110]
Generated Node #3: [56, 110] from Operation: 60+50=110
Current State: 54:[56, 110], Operations: ['80-24=56', '60+50=110']
Exploring Operation: 110-56=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
72,
22,
46,
44
] | 58 | [
"46-44=2",
"72/2=36",
"22+36=58"
] | Current State: 58:[72, 22, 46, 44], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [72, 22, 2]
Generated Node #2: [72, 22, 2] from Operation: 46-44=2
Current State: 58:[72, 22, 2], Operations: ['46-44=2']
Exploring Operation: 72/2=36, Resulting Numbers: [22, 36]
Generated Node #3: [22, 36] from Operation: 72/2=36
Current State: 58:[22, 36], Operations: ['46-44=2', '72/2=36']
Exploring Operation: 22+36=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
59,
40,
9,
7
] | 43 | [
"40*9=360",
"360-59=301",
"301/7=43"
] | Current State: 43:[59, 40, 9, 7], Operations: []
Exploring Operation: 40*9=360, Resulting Numbers: [59, 7, 360]
Generated Node #2: [59, 7, 360] from Operation: 40*9=360
Current State: 43:[59, 7, 360], Operations: ['40*9=360']
Exploring Operation: 360-59=301, Resulting Numbers: [7, 301]
Generated Node #3: [7, 301] from Operation: 360-59=301
Current State: 43:[7, 301], Operations: ['40*9=360', '360-59=301']
Exploring Operation: 301/7=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
3,
88,
4,
6
] | 88 | [
"3+4=7",
"7-6=1",
"88*1=88"
] | Current State: 88:[3, 88, 4, 6], Operations: []
Exploring Operation: 3+4=7, Resulting Numbers: [88, 6, 7]
Generated Node #2: [88, 6, 7] from Operation: 3+4=7
Current State: 88:[88, 6, 7], Operations: ['3+4=7']
Exploring Operation: 7-6=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 7-6=1
Current State: 88:[88, 1], Operations: ['3+4=7', '7-6=1']
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
3,
90,
1,
53
] | 48 | [
"90+1=91",
"53+91=144",
"144/3=48"
] | Current State: 48:[3, 90, 1, 53], Operations: []
Exploring Operation: 90+1=91, Resulting Numbers: [3, 53, 91]
Generated Node #2: [3, 53, 91] from Operation: 90+1=91
Current State: 48:[3, 53, 91], Operations: ['90+1=91']
Exploring Operation: 53+91=144, Resulting Numbers: [3, 144]
Generated Node #3: [3, 144] from Operation: 53+91=144
Current State: 48:[3, 144], Operations: ['90+1=91', '53+91=144']
Exploring Operation: 144/3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
33,
30,
22,
20
] | 39 | [
"33-30=3",
"22+20=42",
"42-3=39"
] | Current State: 39:[33, 30, 22, 20], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [22, 20, 3]
Generated Node #2: [22, 20, 3] from Operation: 33-30=3
Current State: 39:[22, 20, 3], Operations: ['33-30=3']
Exploring Operation: 22+20=42, Resulting Numbers: [3, 42]
Generated Node #3: [3, 42] from Operation: 22+20=42
Current State: 39:[3, 42], Operations: ['33-30=3', '22+20=42']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
30,
73,
86,
13
] | 88 | [
"73-13=60",
"60/30=2",
"86+2=88"
] | Current State: 88:[30, 73, 86, 13], Operations: []
Exploring Operation: 73-13=60, Resulting Numbers: [30, 86, 60]
Generated Node #2: [30, 86, 60] from Operation: 73-13=60
Current State: 88:[30, 86, 60], Operations: ['73-13=60']
Exploring Operation: 60/30=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 60/30=2
Current State: 88:[86, 2], Operations: ['73-13=60', '60/30=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
9,
14,
15,
25
] | 10 | [
"14-9=5",
"25/5=5",
"15-5=10"
] | Current State: 10:[9, 14, 15, 25], Operations: []
Exploring Operation: 14-9=5, Resulting Numbers: [15, 25, 5]
Generated Node #2: [15, 25, 5] from Operation: 14-9=5
Current State: 10:[15, 25, 5], Operations: ['14-9=5']
Exploring Operation: 25/5=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 25/5=5
Current State: 10:[15, 5], Operations: ['14-9=5', '25/5=5']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
90,
52,
83,
50
] | 95 | [
"90-52=38",
"83+50=133",
"133-38=95"
] | Current State: 95:[90, 52, 83, 50], Operations: []
Exploring Operation: 90-52=38, Resulting Numbers: [83, 50, 38]
Generated Node #2: [83, 50, 38] from Operation: 90-52=38
Current State: 95:[83, 50, 38], Operations: ['90-52=38']
Exploring Operation: 83+50=133, Resulting Numbers: [38, 133]
Generated Node #3: [38, 133] from Operation: 83+50=133
Current State: 95:[38, 133], Operations: ['90-52=38', '83+50=133']
Exploring Operation: 133-38=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
88,
74,
2,
75
] | 48 | [
"88-75=13",
"2*13=26",
"74-26=48"
] | Current State: 48:[88, 74, 2, 75], Operations: []
Exploring Operation: 88-75=13, Resulting Numbers: [74, 2, 13]
Generated Node #2: [74, 2, 13] from Operation: 88-75=13
Current State: 48:[74, 2, 13], Operations: ['88-75=13']
Exploring Operation: 2*13=26, Resulting Numbers: [74, 26]
Generated Node #3: [74, 26] from Operation: 2*13=26
Current State: 48:[74, 26], Operations: ['88-75=13', '2*13=26']
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
6,
26,
3,
32
] | 33 | [
"32-26=6",
"6*6=36",
"36-3=33"
] | Current State: 33:[6, 26, 3, 32], Operations: []
Exploring Operation: 32-26=6, Resulting Numbers: [6, 3, 6]
Generated Node #2: [6, 3, 6] from Operation: 32-26=6
Current State: 33:[6, 3, 6], Operations: ['32-26=6']
Exploring Operation: 6*6=36, Resulting Numbers: [3, 36]
Generated Node #3: [3, 36] from Operation: 6*6=36
Current State: 33:[3, 36], Operations: ['32-26=6', '6*6=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
23,
53,
43,
30
] | 43 | [
"53-23=30",
"43+30=73",
"73-30=43"
] | Current State: 43:[23, 53, 43, 30], Operations: []
Exploring Operation: 53-23=30, Resulting Numbers: [43, 30, 30]
Generated Node #2: [43, 30, 30] from Operation: 53-23=30
Current State: 43:[43, 30, 30], Operations: ['53-23=30']
Exploring Operation: 43+30=73, Resulting Numbers: [73]
73,43 equal: Goal Reached
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
60,
19,
26,
38
] | 56 | [
"60*19=1140",
"1140/38=30",
"26+30=56"
] | Current State: 56:[60, 19, 26, 38], Operations: []
Exploring Operation: 60*19=1140, Resulting Numbers: [26, 38, 1140]
Generated Node #2: [26, 38, 1140] from Operation: 60*19=1140
Current State: 56:[26, 38, 1140], Operations: ['60*19=1140']
Exploring Operation: 1140/38=30, Resulting Numbers: [26, 30]
Generated Node #3: [26, 30] from Operation: 1140/38=30
Current State: 56:[26, 30], Operations: ['60*19=1140', '1140/38=30']
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
91,
70,
75,
99
] | 13 | [
"91+70=161",
"75+99=174",
"174-161=13"
] | Current State: 13:[91, 70, 75, 99], Operations: []
Exploring Operation: 91+70=161, Resulting Numbers: [75, 99, 161]
Generated Node #2: [75, 99, 161] from Operation: 91+70=161
Current State: 13:[75, 99, 161], Operations: ['91+70=161']
Exploring Operation: 75+99=174, Resulting Numbers: [161, 174]
Generated Node #3: [161, 174] from Operation: 75+99=174
Current State: 13:[161, 174], Operations: ['91+70=161', '75+99=174']
Exploring Operation: 174-161=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
41,
78,
86,
30
] | 52 | [
"86-41=45",
"78*30=2340",
"2340/45=52"
] | Current State: 52:[41, 78, 86, 30], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [78, 30, 45]
Generated Node #2: [78, 30, 45] from Operation: 86-41=45
Current State: 52:[78, 30, 45], Operations: ['86-41=45']
Exploring Operation: 78*30=2340, Resulting Numbers: [45, 2340]
Generated Node #3: [45, 2340] from Operation: 78*30=2340
Current State: 52:[45, 2340], Operations: ['86-41=45', '78*30=2340']
Exploring Operation: 2340/45=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
54,
13,
96,
30
] | 59 | [
"54+13=67",
"96+30=126",
"126-67=59"
] | Current State: 59:[54, 13, 96, 30], Operations: []
Exploring Operation: 54+13=67, Resulting Numbers: [96, 30, 67]
Generated Node #2: [96, 30, 67] from Operation: 54+13=67
Current State: 59:[96, 30, 67], Operations: ['54+13=67']
Exploring Operation: 96+30=126, Resulting Numbers: [67, 126]
Generated Node #3: [67, 126] from Operation: 96+30=126
Current State: 59:[67, 126], Operations: ['54+13=67', '96+30=126']
Exploring Operation: 126-67=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
59,
83,
89,
7
] | 46 | [
"59+83=142",
"89+7=96",
"142-96=46"
] | Current State: 46:[59, 83, 89, 7], Operations: []
Exploring Operation: 59+83=142, Resulting Numbers: [89, 7, 142]
Generated Node #2: [89, 7, 142] from Operation: 59+83=142
Current State: 46:[89, 7, 142], Operations: ['59+83=142']
Exploring Operation: 89+7=96, Resulting Numbers: [142, 96]
Generated Node #3: [142, 96] from Operation: 89+7=96
Current State: 46:[142, 96], Operations: ['59+83=142', '89+7=96']
Exploring Operation: 142-96=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
86,
5,
91,
19
] | 19 | [
"86+5=91",
"91+19=110",
"110-91=19"
] | Current State: 19:[86, 5, 91, 19], Operations: []
Exploring Operation: 86+5=91, Resulting Numbers: [91, 19, 91]
Generated Node #2: [91, 19, 91] from Operation: 86+5=91
Current State: 19:[91, 19, 91], Operations: ['86+5=91']
Exploring Operation: 91+19=110, Resulting Numbers: [110]
110,19 equal: Goal Reached
Exploring Operation: 110-91=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
84,
26,
43,
65
] | 80 | [
"84-26=58",
"65-43=22",
"58+22=80"
] | Current State: 80:[84, 26, 43, 65], Operations: []
Exploring Operation: 84-26=58, Resulting Numbers: [43, 65, 58]
Generated Node #2: [43, 65, 58] from Operation: 84-26=58
Current State: 80:[43, 65, 58], Operations: ['84-26=58']
Exploring Operation: 65-43=22, Resulting Numbers: [58, 22]
Generated Node #3: [58, 22] from Operation: 65-43=22
Current State: 80:[58, 22], Operations: ['84-26=58', '65-43=22']
Exploring Operation: 58+22=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
43,
81,
50,
28
] | 16 | [
"81-43=38",
"50-28=22",
"38-22=16"
] | Current State: 16:[43, 81, 50, 28], Operations: []
Exploring Operation: 81-43=38, Resulting Numbers: [50, 28, 38]
Generated Node #2: [50, 28, 38] from Operation: 81-43=38
Current State: 16:[50, 28, 38], Operations: ['81-43=38']
Exploring Operation: 50-28=22, Resulting Numbers: [38, 22]
Generated Node #3: [38, 22] from Operation: 50-28=22
Current State: 16:[38, 22], Operations: ['81-43=38', '50-28=22']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
31,
53,
21,
18
] | 19 | [
"53-31=22",
"21-18=3",
"22-3=19"
] | Current State: 19:[31, 53, 21, 18], Operations: []
Exploring Operation: 53-31=22, Resulting Numbers: [21, 18, 22]
Generated Node #2: [21, 18, 22] from Operation: 53-31=22
Current State: 19:[21, 18, 22], Operations: ['53-31=22']
Exploring Operation: 21-18=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 21-18=3
Current State: 19:[22, 3], Operations: ['53-31=22', '21-18=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
63,
61,
13,
96
] | 70 | [
"63-61=2",
"13*2=26",
"96-26=70"
] | Current State: 70:[63, 61, 13, 96], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [13, 96, 2]
Generated Node #2: [13, 96, 2] from Operation: 63-61=2
Current State: 70:[13, 96, 2], Operations: ['63-61=2']
Exploring Operation: 13*2=26, Resulting Numbers: [96, 26]
Generated Node #3: [96, 26] from Operation: 13*2=26
Current State: 70:[96, 26], Operations: ['63-61=2', '13*2=26']
Exploring Operation: 96-26=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
39,
3,
22,
37
] | 33 | [
"39-37=2",
"3*22=66",
"66/2=33"
] | Current State: 33:[39, 3, 22, 37], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [3, 22, 2]
Generated Node #2: [3, 22, 2] from Operation: 39-37=2
Current State: 33:[3, 22, 2], Operations: ['39-37=2']
Exploring Operation: 3*22=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 3*22=66
Current State: 33:[2, 66], Operations: ['39-37=2', '3*22=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
49,
71,
56,
2
] | 37 | [
"49+56=105",
"71*2=142",
"142-105=37"
] | Current State: 37:[49, 71, 56, 2], Operations: []
Exploring Operation: 49+56=105, Resulting Numbers: [71, 2, 105]
Generated Node #2: [71, 2, 105] from Operation: 49+56=105
Current State: 37:[71, 2, 105], Operations: ['49+56=105']
Exploring Operation: 71*2=142, Resulting Numbers: [105, 142]
Generated Node #3: [105, 142] from Operation: 71*2=142
Current State: 37:[105, 142], Operations: ['49+56=105', '71*2=142']
Exploring Operation: 142-105=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
49,
45,
19,
20
] | 99 | [
"49-45=4",
"20*4=80",
"19+80=99"
] | Current State: 99:[49, 45, 19, 20], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [19, 20, 4]
Generated Node #2: [19, 20, 4] from Operation: 49-45=4
Current State: 99:[19, 20, 4], Operations: ['49-45=4']
Exploring Operation: 20*4=80, Resulting Numbers: [19, 80]
Generated Node #3: [19, 80] from Operation: 20*4=80
Current State: 99:[19, 80], Operations: ['49-45=4', '20*4=80']
Exploring Operation: 19+80=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
85,
95,
34,
4
] | 44 | [
"85+95=180",
"34*4=136",
"180-136=44"
] | Current State: 44:[85, 95, 34, 4], Operations: []
Exploring Operation: 85+95=180, Resulting Numbers: [34, 4, 180]
Generated Node #2: [34, 4, 180] from Operation: 85+95=180
Current State: 44:[34, 4, 180], Operations: ['85+95=180']
Exploring Operation: 34*4=136, Resulting Numbers: [180, 136]
Generated Node #3: [180, 136] from Operation: 34*4=136
Current State: 44:[180, 136], Operations: ['85+95=180', '34*4=136']
Exploring Operation: 180-136=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
45,
12,
82,
9
] | 89 | [
"45/9=5",
"12+82=94",
"94-5=89"
] | Current State: 89:[45, 12, 82, 9], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [12, 82, 5]
Generated Node #2: [12, 82, 5] from Operation: 45/9=5
Current State: 89:[12, 82, 5], Operations: ['45/9=5']
Exploring Operation: 12+82=94, Resulting Numbers: [5, 94]
Generated Node #3: [5, 94] from Operation: 12+82=94
Current State: 89:[5, 94], Operations: ['45/9=5', '12+82=94']
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
57,
5,
14,
90
] | 61 | [
"57-14=43",
"90/5=18",
"43+18=61"
] | Current State: 61:[57, 5, 14, 90], Operations: []
Exploring Operation: 57-14=43, Resulting Numbers: [5, 90, 43]
Generated Node #2: [5, 90, 43] from Operation: 57-14=43
Current State: 61:[5, 90, 43], Operations: ['57-14=43']
Exploring Operation: 90/5=18, Resulting Numbers: [43, 18]
Generated Node #3: [43, 18] from Operation: 90/5=18
Current State: 61:[43, 18], Operations: ['57-14=43', '90/5=18']
Exploring Operation: 43+18=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
28,
91,
95,
52
] | 20 | [
"91-28=63",
"95-52=43",
"63-43=20"
] | Current State: 20:[28, 91, 95, 52], Operations: []
Exploring Operation: 91-28=63, Resulting Numbers: [95, 52, 63]
Generated Node #2: [95, 52, 63] from Operation: 91-28=63
Current State: 20:[95, 52, 63], Operations: ['91-28=63']
Exploring Operation: 95-52=43, Resulting Numbers: [63, 43]
Generated Node #3: [63, 43] from Operation: 95-52=43
Current State: 20:[63, 43], Operations: ['91-28=63', '95-52=43']
Exploring Operation: 63-43=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
94,
7,
76,
1
] | 25 | [
"94+7=101",
"76*1=76",
"101-76=25"
] | Current State: 25:[94, 7, 76, 1], Operations: []
Exploring Operation: 94+7=101, Resulting Numbers: [76, 1, 101]
Generated Node #2: [76, 1, 101] from Operation: 94+7=101
Current State: 25:[76, 1, 101], Operations: ['94+7=101']
Exploring Operation: 76*1=76, Resulting Numbers: [101, 76]
Generated Node #3: [101, 76] from Operation: 76*1=76
Current State: 25:[101, 76], Operations: ['94+7=101', '76*1=76']
Exploring Operation: 101-76=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
45,
37,
8,
78
] | 20 | [
"45+37=82",
"78+82=160",
"160/8=20"
] | Current State: 20:[45, 37, 8, 78], Operations: []
Exploring Operation: 45+37=82, Resulting Numbers: [8, 78, 82]
Generated Node #2: [8, 78, 82] from Operation: 45+37=82
Current State: 20:[8, 78, 82], Operations: ['45+37=82']
Exploring Operation: 78+82=160, Resulting Numbers: [8, 160]
Generated Node #3: [8, 160] from Operation: 78+82=160
Current State: 20:[8, 160], Operations: ['45+37=82', '78+82=160']
Exploring Operation: 160/8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
4,
44,
21,
55
] | 37 | [
"44-21=23",
"4*23=92",
"92-55=37"
] | Current State: 37:[4, 44, 21, 55], Operations: []
Exploring Operation: 44-21=23, Resulting Numbers: [4, 55, 23]
Generated Node #2: [4, 55, 23] from Operation: 44-21=23
Current State: 37:[4, 55, 23], Operations: ['44-21=23']
Exploring Operation: 4*23=92, Resulting Numbers: [55, 92]
Generated Node #3: [55, 92] from Operation: 4*23=92
Current State: 37:[55, 92], Operations: ['44-21=23', '4*23=92']
Exploring Operation: 92-55=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
96,
21,
5,
45
] | 30 | [
"96-21=75",
"75/5=15",
"45-15=30"
] | Current State: 30:[96, 21, 5, 45], Operations: []
Exploring Operation: 96-21=75, Resulting Numbers: [5, 45, 75]
Generated Node #2: [5, 45, 75] from Operation: 96-21=75
Current State: 30:[5, 45, 75], Operations: ['96-21=75']
Exploring Operation: 75/5=15, Resulting Numbers: [45, 15]
Generated Node #3: [45, 15] from Operation: 75/5=15
Current State: 30:[45, 15], Operations: ['96-21=75', '75/5=15']
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
59,
21,
58,
49
] | 69 | [
"59-21=38",
"58+49=107",
"107-38=69"
] | Current State: 69:[59, 21, 58, 49], Operations: []
Exploring Operation: 59-21=38, Resulting Numbers: [58, 49, 38]
Generated Node #2: [58, 49, 38] from Operation: 59-21=38
Current State: 69:[58, 49, 38], Operations: ['59-21=38']
Exploring Operation: 58+49=107, Resulting Numbers: [38, 107]
Generated Node #3: [38, 107] from Operation: 58+49=107
Current State: 69:[38, 107], Operations: ['59-21=38', '58+49=107']
Exploring Operation: 107-38=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
22,
11,
60,
9
] | 66 | [
"22*60=1320",
"11+9=20",
"1320/20=66"
] | Current State: 66:[22, 11, 60, 9], Operations: []
Exploring Operation: 22*60=1320, Resulting Numbers: [11, 9, 1320]
Generated Node #2: [11, 9, 1320] from Operation: 22*60=1320
Current State: 66:[11, 9, 1320], Operations: ['22*60=1320']
Exploring Operation: 11+9=20, Resulting Numbers: [1320, 20]
Generated Node #3: [1320, 20] from Operation: 11+9=20
Current State: 66:[1320, 20], Operations: ['22*60=1320', '11+9=20']
Exploring Operation: 1320/20=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
63,
70,
72,
24
] | 96 | [
"70-63=7",
"24*7=168",
"168-72=96"
] | Current State: 96:[63, 70, 72, 24], Operations: []
Exploring Operation: 70-63=7, Resulting Numbers: [72, 24, 7]
Generated Node #2: [72, 24, 7] from Operation: 70-63=7
Current State: 96:[72, 24, 7], Operations: ['70-63=7']
Exploring Operation: 24*7=168, Resulting Numbers: [72, 168]
Generated Node #3: [72, 168] from Operation: 24*7=168
Current State: 96:[72, 168], Operations: ['70-63=7', '24*7=168']
Exploring Operation: 168-72=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
16,
88,
1,
84
] | 11 | [
"88-16=72",
"84-1=83",
"83-72=11"
] | Current State: 11:[16, 88, 1, 84], Operations: []
Exploring Operation: 88-16=72, Resulting Numbers: [1, 84, 72]
Generated Node #2: [1, 84, 72] from Operation: 88-16=72
Current State: 11:[1, 84, 72], Operations: ['88-16=72']
Exploring Operation: 84-1=83, Resulting Numbers: [72, 83]
Generated Node #3: [72, 83] from Operation: 84-1=83
Current State: 11:[72, 83], Operations: ['88-16=72', '84-1=83']
Exploring Operation: 83-72=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
66,
67,
31,
99
] | 66 | [
"67+31=98",
"99-98=1",
"66*1=66"
] | Current State: 66:[66, 67, 31, 99], Operations: []
Exploring Operation: 67+31=98, Resulting Numbers: [66, 99, 98]
Generated Node #2: [66, 99, 98] from Operation: 67+31=98
Current State: 66:[66, 99, 98], Operations: ['67+31=98']
Exploring Operation: 99-98=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 99-98=1
Current State: 66:[66, 1], Operations: ['67+31=98', '99-98=1']
Exploring Operation: 66*1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
37,
11,
52,
5
] | 40 | [
"52-37=15",
"11*5=55",
"55-15=40"
] | Current State: 40:[37, 11, 52, 5], Operations: []
Exploring Operation: 52-37=15, Resulting Numbers: [11, 5, 15]
Generated Node #2: [11, 5, 15] from Operation: 52-37=15
Current State: 40:[11, 5, 15], Operations: ['52-37=15']
Exploring Operation: 11*5=55, Resulting Numbers: [15, 55]
Generated Node #3: [15, 55] from Operation: 11*5=55
Current State: 40:[15, 55], Operations: ['52-37=15', '11*5=55']
Exploring Operation: 55-15=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
9,
4,
45,
15
] | 47 | [
"9+4=13",
"45+15=60",
"60-13=47"
] | Current State: 47:[9, 4, 45, 15], Operations: []
Exploring Operation: 9+4=13, Resulting Numbers: [45, 15, 13]
Generated Node #2: [45, 15, 13] from Operation: 9+4=13
Current State: 47:[45, 15, 13], Operations: ['9+4=13']
Exploring Operation: 45+15=60, Resulting Numbers: [13, 60]
Generated Node #3: [13, 60] from Operation: 45+15=60
Current State: 47:[13, 60], Operations: ['9+4=13', '45+15=60']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
32,
7,
62,
15
] | 72 | [
"32-7=25",
"62-15=47",
"25+47=72"
] | Current State: 72:[32, 7, 62, 15], Operations: []
Exploring Operation: 32-7=25, Resulting Numbers: [62, 15, 25]
Generated Node #2: [62, 15, 25] from Operation: 32-7=25
Current State: 72:[62, 15, 25], Operations: ['32-7=25']
Exploring Operation: 62-15=47, Resulting Numbers: [25, 47]
Generated Node #3: [25, 47] from Operation: 62-15=47
Current State: 72:[25, 47], Operations: ['32-7=25', '62-15=47']
Exploring Operation: 25+47=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
31,
26,
35,
7
] | 70 | [
"31-26=5",
"7*5=35",
"35+35=70"
] | Current State: 70:[31, 26, 35, 7], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [35, 7, 5]
Generated Node #2: [35, 7, 5] from Operation: 31-26=5
Current State: 70:[35, 7, 5], Operations: ['31-26=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35, 35]
Generated Node #3: [35, 35] from Operation: 7*5=35
Current State: 70:[35, 35], Operations: ['31-26=5', '7*5=35']
Exploring Operation: 35+35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
9,
13,
8,
16
] | 30 | [
"9+13=22",
"16-8=8",
"22+8=30"
] | Current State: 30:[9, 13, 8, 16], Operations: []
Exploring Operation: 9+13=22, Resulting Numbers: [8, 16, 22]
Generated Node #2: [8, 16, 22] from Operation: 9+13=22
Current State: 30:[8, 16, 22], Operations: ['9+13=22']
Exploring Operation: 16-8=8, Resulting Numbers: [22, 8]
Generated Node #3: [22, 8] from Operation: 16-8=8
Current State: 30:[22, 8], Operations: ['9+13=22', '16-8=8']
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
79,
99,
6,
64
] | 14 | [
"99-79=20",
"64+20=84",
"84/6=14"
] | Current State: 14:[79, 99, 6, 64], Operations: []
Exploring Operation: 99-79=20, Resulting Numbers: [6, 64, 20]
Generated Node #2: [6, 64, 20] from Operation: 99-79=20
Current State: 14:[6, 64, 20], Operations: ['99-79=20']
Exploring Operation: 64+20=84, Resulting Numbers: [6, 84]
Generated Node #3: [6, 84] from Operation: 64+20=84
Current State: 14:[6, 84], Operations: ['99-79=20', '64+20=84']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
33,
27,
16,
2
] | 71 | [
"33+16=49",
"2*49=98",
"98-27=71"
] | Current State: 71:[33, 27, 16, 2], Operations: []
Exploring Operation: 33+16=49, Resulting Numbers: [27, 2, 49]
Generated Node #2: [27, 2, 49] from Operation: 33+16=49
Current State: 71:[27, 2, 49], Operations: ['33+16=49']
Exploring Operation: 2*49=98, Resulting Numbers: [27, 98]
Generated Node #3: [27, 98] from Operation: 2*49=98
Current State: 71:[27, 98], Operations: ['33+16=49', '2*49=98']
Exploring Operation: 98-27=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
45,
45,
58,
63
] | 18 | [
"45+45=90",
"63-58=5",
"90/5=18"
] | Current State: 18:[45, 45, 58, 63], Operations: []
Exploring Operation: 45+45=90, Resulting Numbers: [58, 63, 90]
Generated Node #2: [58, 63, 90] from Operation: 45+45=90
Current State: 18:[58, 63, 90], Operations: ['45+45=90']
Exploring Operation: 63-58=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 63-58=5
Current State: 18:[90, 5], Operations: ['45+45=90', '63-58=5']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
27,
3,
8,
93
] | 20 | [
"27*3=81",
"8+93=101",
"101-81=20"
] | Current State: 20:[27, 3, 8, 93], Operations: []
Exploring Operation: 27*3=81, Resulting Numbers: [8, 93, 81]
Generated Node #2: [8, 93, 81] from Operation: 27*3=81
Current State: 20:[8, 93, 81], Operations: ['27*3=81']
Exploring Operation: 8+93=101, Resulting Numbers: [81, 101]
Generated Node #3: [81, 101] from Operation: 8+93=101
Current State: 20:[81, 101], Operations: ['27*3=81', '8+93=101']
Exploring Operation: 101-81=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
67,
34,
11,
91
] | 69 | [
"67-34=33",
"11+91=102",
"102-33=69"
] | Current State: 69:[67, 34, 11, 91], Operations: []
Exploring Operation: 67-34=33, Resulting Numbers: [11, 91, 33]
Generated Node #2: [11, 91, 33] from Operation: 67-34=33
Current State: 69:[11, 91, 33], Operations: ['67-34=33']
Exploring Operation: 11+91=102, Resulting Numbers: [33, 102]
Generated Node #3: [33, 102] from Operation: 11+91=102
Current State: 69:[33, 102], Operations: ['67-34=33', '11+91=102']
Exploring Operation: 102-33=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
13,
64,
29,
14
] | 62 | [
"13+64=77",
"29-14=15",
"77-15=62"
] | Current State: 62:[13, 64, 29, 14], Operations: []
Exploring Operation: 13+64=77, Resulting Numbers: [29, 14, 77]
Generated Node #2: [29, 14, 77] from Operation: 13+64=77
Current State: 62:[29, 14, 77], Operations: ['13+64=77']
Exploring Operation: 29-14=15, Resulting Numbers: [77, 15]
Generated Node #3: [77, 15] from Operation: 29-14=15
Current State: 62:[77, 15], Operations: ['13+64=77', '29-14=15']
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
3,
90,
48,
15
] | 30 | [
"3+90=93",
"48+15=63",
"93-63=30"
] | Current State: 30:[3, 90, 48, 15], Operations: []
Exploring Operation: 3+90=93, Resulting Numbers: [48, 15, 93]
Generated Node #2: [48, 15, 93] from Operation: 3+90=93
Current State: 30:[48, 15, 93], Operations: ['3+90=93']
Exploring Operation: 48+15=63, Resulting Numbers: [93, 63]
Generated Node #3: [93, 63] from Operation: 48+15=63
Current State: 30:[93, 63], Operations: ['3+90=93', '48+15=63']
Exploring Operation: 93-63=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
6,
57,
62,
8
] | 67 | [
"8-6=2",
"62*2=124",
"124-57=67"
] | Current State: 67:[6, 57, 62, 8], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [57, 62, 2]
Generated Node #2: [57, 62, 2] from Operation: 8-6=2
Current State: 67:[57, 62, 2], Operations: ['8-6=2']
Exploring Operation: 62*2=124, Resulting Numbers: [57, 124]
Generated Node #3: [57, 124] from Operation: 62*2=124
Current State: 67:[57, 124], Operations: ['8-6=2', '62*2=124']
Exploring Operation: 124-57=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
69,
82,
80,
39
] | 67 | [
"80-39=41",
"82/41=2",
"69-2=67"
] | Current State: 67:[69, 82, 80, 39], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [69, 82, 41]
Generated Node #2: [69, 82, 41] from Operation: 80-39=41
Current State: 67:[69, 82, 41], Operations: ['80-39=41']
Exploring Operation: 82/41=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 82/41=2
Current State: 67:[69, 2], Operations: ['80-39=41', '82/41=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
80,
20,
44,
50
] | 30 | [
"44*50=2200",
"2200/20=110",
"110-80=30"
] | Current State: 30:[80, 20, 44, 50], Operations: []
Exploring Operation: 44*50=2200, Resulting Numbers: [80, 20, 2200]
Generated Node #2: [80, 20, 2200] from Operation: 44*50=2200
Current State: 30:[80, 20, 2200], Operations: ['44*50=2200']
Exploring Operation: 2200/20=110, Resulting Numbers: [80, 110]
Generated Node #3: [80, 110] from Operation: 2200/20=110
Current State: 30:[80, 110], Operations: ['44*50=2200', '2200/20=110']
Exploring Operation: 110-80=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
54,
82,
46,
75
] | 15 | [
"54+82=136",
"46+75=121",
"136-121=15"
] | Current State: 15:[54, 82, 46, 75], Operations: []
Exploring Operation: 54+82=136, Resulting Numbers: [46, 75, 136]
Generated Node #2: [46, 75, 136] from Operation: 54+82=136
Current State: 15:[46, 75, 136], Operations: ['54+82=136']
Exploring Operation: 46+75=121, Resulting Numbers: [136, 121]
Generated Node #3: [136, 121] from Operation: 46+75=121
Current State: 15:[136, 121], Operations: ['54+82=136', '46+75=121']
Exploring Operation: 136-121=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
86,
23,
16,
80
] | 73 | [
"86-80=6",
"16*6=96",
"96-23=73"
] | Current State: 73:[86, 23, 16, 80], Operations: []
Exploring Operation: 86-80=6, Resulting Numbers: [23, 16, 6]
Generated Node #2: [23, 16, 6] from Operation: 86-80=6
Current State: 73:[23, 16, 6], Operations: ['86-80=6']
Exploring Operation: 16*6=96, Resulting Numbers: [23, 96]
Generated Node #3: [23, 96] from Operation: 16*6=96
Current State: 73:[23, 96], Operations: ['86-80=6', '16*6=96']
Exploring Operation: 96-23=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
2,
16,
16,
47
] | 24 | [
"16/16=1",
"47+1=48",
"48/2=24"
] | Current State: 24:[2, 16, 16, 47], Operations: []
Exploring Operation: 16/16=1, Resulting Numbers: [2, 47, 1]
Generated Node #2: [2, 47, 1] from Operation: 16/16=1
Current State: 24:[2, 47, 1], Operations: ['16/16=1']
Exploring Operation: 47+1=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 47+1=48
Current State: 24:[2, 48], Operations: ['16/16=1', '47+1=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
35,
53,
16,
51
] | 52 | [
"35+16=51",
"51/51=1",
"53-1=52"
] | Current State: 52:[35, 53, 16, 51], Operations: []
Exploring Operation: 35+16=51, Resulting Numbers: [53, 51, 51]
Generated Node #2: [53, 51, 51] from Operation: 35+16=51
Current State: 52:[53, 51, 51], Operations: ['35+16=51']
Exploring Operation: 51/51=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 51/51=1
Current State: 52:[53, 1], Operations: ['35+16=51', '51/51=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
5,
2,
61,
80
] | 43 | [
"80/5=16",
"61-2=59",
"59-16=43"
] | Current State: 43:[5, 2, 61, 80], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [2, 61, 16]
Generated Node #2: [2, 61, 16] from Operation: 80/5=16
Current State: 43:[2, 61, 16], Operations: ['80/5=16']
Exploring Operation: 61-2=59, Resulting Numbers: [16, 59]
Generated Node #3: [16, 59] from Operation: 61-2=59
Current State: 43:[16, 59], Operations: ['80/5=16', '61-2=59']
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
99,
52,
72,
28
] | 51 | [
"99+52=151",
"72+28=100",
"151-100=51"
] | Current State: 51:[99, 52, 72, 28], Operations: []
Exploring Operation: 99+52=151, Resulting Numbers: [72, 28, 151]
Generated Node #2: [72, 28, 151] from Operation: 99+52=151
Current State: 51:[72, 28, 151], Operations: ['99+52=151']
Exploring Operation: 72+28=100, Resulting Numbers: [151, 100]
Generated Node #3: [151, 100] from Operation: 72+28=100
Current State: 51:[151, 100], Operations: ['99+52=151', '72+28=100']
Exploring Operation: 151-100=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
49,
8,
90,
87
] | 89 | [
"8+90=98",
"98/49=2",
"87+2=89"
] | Current State: 89:[49, 8, 90, 87], Operations: []
Exploring Operation: 8+90=98, Resulting Numbers: [49, 87, 98]
Generated Node #2: [49, 87, 98] from Operation: 8+90=98
Current State: 89:[49, 87, 98], Operations: ['8+90=98']
Exploring Operation: 98/49=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 98/49=2
Current State: 89:[87, 2], Operations: ['8+90=98', '98/49=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
70,
65,
30,
34
] | 68 | [
"70*34=2380",
"65-30=35",
"2380/35=68"
] | Current State: 68:[70, 65, 30, 34], Operations: []
Exploring Operation: 70*34=2380, Resulting Numbers: [65, 30, 2380]
Generated Node #2: [65, 30, 2380] from Operation: 70*34=2380
Current State: 68:[65, 30, 2380], Operations: ['70*34=2380']
Exploring Operation: 65-30=35, Resulting Numbers: [2380, 35]
Generated Node #3: [2380, 35] from Operation: 65-30=35
Current State: 68:[2380, 35], Operations: ['70*34=2380', '65-30=35']
Exploring Operation: 2380/35=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
68,
70,
6,
80
] | 52 | [
"68+70=138",
"6+80=86",
"138-86=52"
] | Current State: 52:[68, 70, 6, 80], Operations: []
Exploring Operation: 68+70=138, Resulting Numbers: [6, 80, 138]
Generated Node #2: [6, 80, 138] from Operation: 68+70=138
Current State: 52:[6, 80, 138], Operations: ['68+70=138']
Exploring Operation: 6+80=86, Resulting Numbers: [138, 86]
Generated Node #3: [138, 86] from Operation: 6+80=86
Current State: 52:[138, 86], Operations: ['68+70=138', '6+80=86']
Exploring Operation: 138-86=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
69,
8,
65,
45
] | 41 | [
"69-8=61",
"65-45=20",
"61-20=41"
] | Current State: 41:[69, 8, 65, 45], Operations: []
Exploring Operation: 69-8=61, Resulting Numbers: [65, 45, 61]
Generated Node #2: [65, 45, 61] from Operation: 69-8=61
Current State: 41:[65, 45, 61], Operations: ['69-8=61']
Exploring Operation: 65-45=20, Resulting Numbers: [61, 20]
Generated Node #3: [61, 20] from Operation: 65-45=20
Current State: 41:[61, 20], Operations: ['69-8=61', '65-45=20']
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
5,
87,
94,
18
] | 73 | [
"87+18=105",
"105/5=21",
"94-21=73"
] | Current State: 73:[5, 87, 94, 18], Operations: []
Exploring Operation: 87+18=105, Resulting Numbers: [5, 94, 105]
Generated Node #2: [5, 94, 105] from Operation: 87+18=105
Current State: 73:[5, 94, 105], Operations: ['87+18=105']
Exploring Operation: 105/5=21, Resulting Numbers: [94, 21]
Generated Node #3: [94, 21] from Operation: 105/5=21
Current State: 73:[94, 21], Operations: ['87+18=105', '105/5=21']
Exploring Operation: 94-21=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
53,
74,
13,
13
] | 74 | [
"13-13=0",
"53*0=0",
"74+0=74"
] | Current State: 74:[53, 74, 13, 13], Operations: []
Exploring Operation: 13-13=0, Resulting Numbers: [53, 74, 0]
Generated Node #2: [53, 74, 0] from Operation: 13-13=0
Current State: 74:[53, 74, 0], Operations: ['13-13=0']
Exploring Operation: 53*0=0, Resulting Numbers: [74, 0]
Generated Node #3: [74, 0] from Operation: 53*0=0
Current State: 74:[74, 0], Operations: ['13-13=0', '53*0=0']
Exploring Operation: 74+0=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
49,
77,
62,
56
] | 73 | [
"56-49=7",
"77/7=11",
"62+11=73"
] | Current State: 73:[49, 77, 62, 56], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [77, 62, 7]
Generated Node #2: [77, 62, 7] from Operation: 56-49=7
Current State: 73:[77, 62, 7], Operations: ['56-49=7']
Exploring Operation: 77/7=11, Resulting Numbers: [62, 11]
Generated Node #3: [62, 11] from Operation: 77/7=11
Current State: 73:[62, 11], Operations: ['56-49=7', '77/7=11']
Exploring Operation: 62+11=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
60,
66,
90,
77
] | 41 | [
"60+66=126",
"90+77=167",
"167-126=41"
] | Current State: 41:[60, 66, 90, 77], Operations: []
Exploring Operation: 60+66=126, Resulting Numbers: [90, 77, 126]
Generated Node #2: [90, 77, 126] from Operation: 60+66=126
Current State: 41:[90, 77, 126], Operations: ['60+66=126']
Exploring Operation: 90+77=167, Resulting Numbers: [126, 167]
Generated Node #3: [126, 167] from Operation: 90+77=167
Current State: 41:[126, 167], Operations: ['60+66=126', '90+77=167']
Exploring Operation: 167-126=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
64,
68,
52,
73
] | 17 | [
"68-64=4",
"73-52=21",
"21-4=17"
] | Current State: 17:[64, 68, 52, 73], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [52, 73, 4]
Generated Node #2: [52, 73, 4] from Operation: 68-64=4
Current State: 17:[52, 73, 4], Operations: ['68-64=4']
Exploring Operation: 73-52=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 73-52=21
Current State: 17:[4, 21], Operations: ['68-64=4', '73-52=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
78,
76,
5,
57
] | 60 | [
"78-76=2",
"5+57=62",
"62-2=60"
] | Current State: 60:[78, 76, 5, 57], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [5, 57, 2]
Generated Node #2: [5, 57, 2] from Operation: 78-76=2
Current State: 60:[5, 57, 2], Operations: ['78-76=2']
Exploring Operation: 5+57=62, Resulting Numbers: [2, 62]
Generated Node #3: [2, 62] from Operation: 5+57=62
Current State: 60:[2, 62], Operations: ['78-76=2', '5+57=62']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
21,
82,
95,
3
] | 31 | [
"82-21=61",
"95-3=92",
"92-61=31"
] | Current State: 31:[21, 82, 95, 3], Operations: []
Exploring Operation: 82-21=61, Resulting Numbers: [95, 3, 61]
Generated Node #2: [95, 3, 61] from Operation: 82-21=61
Current State: 31:[95, 3, 61], Operations: ['82-21=61']
Exploring Operation: 95-3=92, Resulting Numbers: [61, 92]
Generated Node #3: [61, 92] from Operation: 95-3=92
Current State: 31:[61, 92], Operations: ['82-21=61', '95-3=92']
Exploring Operation: 92-61=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
41,
62,
30,
94
] | 21 | [
"41+62=103",
"30+94=124",
"124-103=21"
] | Current State: 21:[41, 62, 30, 94], Operations: []
Exploring Operation: 41+62=103, Resulting Numbers: [30, 94, 103]
Generated Node #2: [30, 94, 103] from Operation: 41+62=103
Current State: 21:[30, 94, 103], Operations: ['41+62=103']
Exploring Operation: 30+94=124, Resulting Numbers: [103, 124]
Generated Node #3: [103, 124] from Operation: 30+94=124
Current State: 21:[103, 124], Operations: ['41+62=103', '30+94=124']
Exploring Operation: 124-103=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
92,
89,
21,
12
] | 19 | [
"92-89=3",
"21/3=7",
"12+7=19"
] | Current State: 19:[92, 89, 21, 12], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [21, 12, 3]
Generated Node #2: [21, 12, 3] from Operation: 92-89=3
Current State: 19:[21, 12, 3], Operations: ['92-89=3']
Exploring Operation: 21/3=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 21/3=7
Current State: 19:[12, 7], Operations: ['92-89=3', '21/3=7']
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
26,
45,
70,
50
] | 89 | [
"45*70=3150",
"3150/50=63",
"26+63=89"
] | Current State: 89:[26, 45, 70, 50], Operations: []
Exploring Operation: 45*70=3150, Resulting Numbers: [26, 50, 3150]
Generated Node #2: [26, 50, 3150] from Operation: 45*70=3150
Current State: 89:[26, 50, 3150], Operations: ['45*70=3150']
Exploring Operation: 3150/50=63, Resulting Numbers: [26, 63]
Generated Node #3: [26, 63] from Operation: 3150/50=63
Current State: 89:[26, 63], Operations: ['45*70=3150', '3150/50=63']
Exploring Operation: 26+63=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
88,
8,
51,
83
] | 17 | [
"88-8=80",
"83-80=3",
"51/3=17"
] | Current State: 17:[88, 8, 51, 83], Operations: []
Exploring Operation: 88-8=80, Resulting Numbers: [51, 83, 80]
Generated Node #2: [51, 83, 80] from Operation: 88-8=80
Current State: 17:[51, 83, 80], Operations: ['88-8=80']
Exploring Operation: 83-80=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 83-80=3
Current State: 17:[51, 3], Operations: ['88-8=80', '83-80=3']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
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