nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
61,
44,
80,
42
] | 38 | [
"80-61=19",
"44-42=2",
"19*2=38"
] | Current State: 38:[61, 44, 80, 42], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [44, 42, 19]
Generated Node #2: [44, 42, 19] from Operation: 80-61=19
Current State: 38:[44, 42, 19], Operations: ['80-61=19']
Exploring Operation: 44-42=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 44-42=2
Current State: 38:[19, 2], Operations: ['80-61=19', '44-42=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
80,
78,
62,
23
] | 40 | [
"62-23=39",
"80*39=3120",
"3120/78=40"
] | Current State: 40:[80, 78, 62, 23], Operations: []
Exploring Operation: 62-23=39, Resulting Numbers: [80, 78, 39]
Generated Node #2: [80, 78, 39] from Operation: 62-23=39
Current State: 40:[80, 78, 39], Operations: ['62-23=39']
Exploring Operation: 80*39=3120, Resulting Numbers: [78, 3120]
Generated Node #3: [78, 3120] from Operation: 80*39=3120
Current State: 40:[78, 3120], Operations: ['62-23=39', '80*39=3120']
Exploring Operation: 3120/78=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
83,
97,
93,
20
] | 59 | [
"97-83=14",
"93-20=73",
"73-14=59"
] | Current State: 59:[83, 97, 93, 20], Operations: []
Exploring Operation: 97-83=14, Resulting Numbers: [93, 20, 14]
Generated Node #2: [93, 20, 14] from Operation: 97-83=14
Current State: 59:[93, 20, 14], Operations: ['97-83=14']
Exploring Operation: 93-20=73, Resulting Numbers: [14, 73]
Generated Node #3: [14, 73] from Operation: 93-20=73
Current State: 59:[14, 73], Operations: ['97-83=14', '93-20=73']
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
59,
88,
78,
1
] | 68 | [
"59+88=147",
"78+1=79",
"147-79=68"
] | Current State: 68:[59, 88, 78, 1], Operations: []
Exploring Operation: 59+88=147, Resulting Numbers: [78, 1, 147]
Generated Node #2: [78, 1, 147] from Operation: 59+88=147
Current State: 68:[78, 1, 147], Operations: ['59+88=147']
Exploring Operation: 78+1=79, Resulting Numbers: [147, 79]
Generated Node #3: [147, 79] from Operation: 78+1=79
Current State: 68:[147, 79], Operations: ['59+88=147', '78+1=79']
Exploring Operation: 147-79=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
76,
51,
75,
94
] | 47 | [
"94-75=19",
"76/19=4",
"51-4=47"
] | Current State: 47:[76, 51, 75, 94], Operations: []
Exploring Operation: 94-75=19, Resulting Numbers: [76, 51, 19]
Generated Node #2: [76, 51, 19] from Operation: 94-75=19
Current State: 47:[76, 51, 19], Operations: ['94-75=19']
Exploring Operation: 76/19=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 76/19=4
Current State: 47:[51, 4], Operations: ['94-75=19', '76/19=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
41,
28,
64,
94
] | 17 | [
"41-28=13",
"94-64=30",
"30-13=17"
] | Current State: 17:[41, 28, 64, 94], Operations: []
Exploring Operation: 41-28=13, Resulting Numbers: [64, 94, 13]
Generated Node #2: [64, 94, 13] from Operation: 41-28=13
Current State: 17:[64, 94, 13], Operations: ['41-28=13']
Exploring Operation: 94-64=30, Resulting Numbers: [13, 30]
Generated Node #3: [13, 30] from Operation: 94-64=30
Current State: 17:[13, 30], Operations: ['41-28=13', '94-64=30']
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
27,
48,
7,
5
] | 12 | [
"27-7=20",
"48*5=240",
"240/20=12"
] | Current State: 12:[27, 48, 7, 5], Operations: []
Exploring Operation: 27-7=20, Resulting Numbers: [48, 5, 20]
Generated Node #2: [48, 5, 20] from Operation: 27-7=20
Current State: 12:[48, 5, 20], Operations: ['27-7=20']
Exploring Operation: 48*5=240, Resulting Numbers: [20, 240]
Generated Node #3: [20, 240] from Operation: 48*5=240
Current State: 12:[20, 240], Operations: ['27-7=20', '48*5=240']
Exploring Operation: 240/20=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
92,
15,
6,
73
] | 28 | [
"92+15=107",
"6+73=79",
"107-79=28"
] | Current State: 28:[92, 15, 6, 73], Operations: []
Exploring Operation: 92+15=107, Resulting Numbers: [6, 73, 107]
Generated Node #2: [6, 73, 107] from Operation: 92+15=107
Current State: 28:[6, 73, 107], Operations: ['92+15=107']
Exploring Operation: 6+73=79, Resulting Numbers: [107, 79]
Generated Node #3: [107, 79] from Operation: 6+73=79
Current State: 28:[107, 79], Operations: ['92+15=107', '6+73=79']
Exploring Operation: 107-79=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
7,
77,
2,
70
] | 57 | [
"77/7=11",
"70-2=68",
"68-11=57"
] | Current State: 57:[7, 77, 2, 70], Operations: []
Exploring Operation: 77/7=11, Resulting Numbers: [2, 70, 11]
Generated Node #2: [2, 70, 11] from Operation: 77/7=11
Current State: 57:[2, 70, 11], Operations: ['77/7=11']
Exploring Operation: 70-2=68, Resulting Numbers: [11, 68]
Generated Node #3: [11, 68] from Operation: 70-2=68
Current State: 57:[11, 68], Operations: ['77/7=11', '70-2=68']
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
44,
71,
89,
17
] | 79 | [
"71-44=27",
"89+17=106",
"106-27=79"
] | Current State: 79:[44, 71, 89, 17], Operations: []
Exploring Operation: 71-44=27, Resulting Numbers: [89, 17, 27]
Generated Node #2: [89, 17, 27] from Operation: 71-44=27
Current State: 79:[89, 17, 27], Operations: ['71-44=27']
Exploring Operation: 89+17=106, Resulting Numbers: [27, 106]
Generated Node #3: [27, 106] from Operation: 89+17=106
Current State: 79:[27, 106], Operations: ['71-44=27', '89+17=106']
Exploring Operation: 106-27=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
19,
62,
7,
48
] | 40 | [
"19+62=81",
"48-7=41",
"81-41=40"
] | Current State: 40:[19, 62, 7, 48], Operations: []
Exploring Operation: 19+62=81, Resulting Numbers: [7, 48, 81]
Generated Node #2: [7, 48, 81] from Operation: 19+62=81
Current State: 40:[7, 48, 81], Operations: ['19+62=81']
Exploring Operation: 48-7=41, Resulting Numbers: [81, 41]
Generated Node #3: [81, 41] from Operation: 48-7=41
Current State: 40:[81, 41], Operations: ['19+62=81', '48-7=41']
Exploring Operation: 81-41=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
38,
75,
59,
61
] | 74 | [
"75-38=37",
"61-59=2",
"37*2=74"
] | Current State: 74:[38, 75, 59, 61], Operations: []
Exploring Operation: 75-38=37, Resulting Numbers: [59, 61, 37]
Generated Node #2: [59, 61, 37] from Operation: 75-38=37
Current State: 74:[59, 61, 37], Operations: ['75-38=37']
Exploring Operation: 61-59=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 61-59=2
Current State: 74:[37, 2], Operations: ['75-38=37', '61-59=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
69,
52,
89,
85
] | 68 | [
"69-52=17",
"89-85=4",
"17*4=68"
] | Current State: 68:[69, 52, 89, 85], Operations: []
Exploring Operation: 69-52=17, Resulting Numbers: [89, 85, 17]
Generated Node #2: [89, 85, 17] from Operation: 69-52=17
Current State: 68:[89, 85, 17], Operations: ['69-52=17']
Exploring Operation: 89-85=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 89-85=4
Current State: 68:[17, 4], Operations: ['69-52=17', '89-85=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
31,
26,
30,
4
] | 29 | [
"31-26=5",
"30+4=34",
"34-5=29"
] | Current State: 29:[31, 26, 30, 4], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [30, 4, 5]
Generated Node #2: [30, 4, 5] from Operation: 31-26=5
Current State: 29:[30, 4, 5], Operations: ['31-26=5']
Exploring Operation: 30+4=34, Resulting Numbers: [5, 34]
Generated Node #3: [5, 34] from Operation: 30+4=34
Current State: 29:[5, 34], Operations: ['31-26=5', '30+4=34']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
20,
25,
30,
64
] | 89 | [
"25-20=5",
"30+64=94",
"94-5=89"
] | Current State: 89:[20, 25, 30, 64], Operations: []
Exploring Operation: 25-20=5, Resulting Numbers: [30, 64, 5]
Generated Node #2: [30, 64, 5] from Operation: 25-20=5
Current State: 89:[30, 64, 5], Operations: ['25-20=5']
Exploring Operation: 30+64=94, Resulting Numbers: [5, 94]
Generated Node #3: [5, 94] from Operation: 30+64=94
Current State: 89:[5, 94], Operations: ['25-20=5', '30+64=94']
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
22,
86,
30,
7
] | 27 | [
"86-22=64",
"30+7=37",
"64-37=27"
] | Current State: 27:[22, 86, 30, 7], Operations: []
Exploring Operation: 86-22=64, Resulting Numbers: [30, 7, 64]
Generated Node #2: [30, 7, 64] from Operation: 86-22=64
Current State: 27:[30, 7, 64], Operations: ['86-22=64']
Exploring Operation: 30+7=37, Resulting Numbers: [64, 37]
Generated Node #3: [64, 37] from Operation: 30+7=37
Current State: 27:[64, 37], Operations: ['86-22=64', '30+7=37']
Exploring Operation: 64-37=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
35,
21,
70,
49
] | 54 | [
"35-21=14",
"70/14=5",
"49+5=54"
] | Current State: 54:[35, 21, 70, 49], Operations: []
Exploring Operation: 35-21=14, Resulting Numbers: [70, 49, 14]
Generated Node #2: [70, 49, 14] from Operation: 35-21=14
Current State: 54:[70, 49, 14], Operations: ['35-21=14']
Exploring Operation: 70/14=5, Resulting Numbers: [49, 5]
Generated Node #3: [49, 5] from Operation: 70/14=5
Current State: 54:[49, 5], Operations: ['35-21=14', '70/14=5']
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
96,
9,
89,
3
] | 84 | [
"96-89=7",
"9+3=12",
"7*12=84"
] | Current State: 84:[96, 9, 89, 3], Operations: []
Exploring Operation: 96-89=7, Resulting Numbers: [9, 3, 7]
Generated Node #2: [9, 3, 7] from Operation: 96-89=7
Current State: 84:[9, 3, 7], Operations: ['96-89=7']
Exploring Operation: 9+3=12, Resulting Numbers: [7, 12]
Generated Node #3: [7, 12] from Operation: 9+3=12
Current State: 84:[7, 12], Operations: ['96-89=7', '9+3=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
69,
83,
19,
20
] | 25 | [
"83-69=14",
"19+20=39",
"39-14=25"
] | Current State: 25:[69, 83, 19, 20], Operations: []
Exploring Operation: 83-69=14, Resulting Numbers: [19, 20, 14]
Generated Node #2: [19, 20, 14] from Operation: 83-69=14
Current State: 25:[19, 20, 14], Operations: ['83-69=14']
Exploring Operation: 19+20=39, Resulting Numbers: [14, 39]
Generated Node #3: [14, 39] from Operation: 19+20=39
Current State: 25:[14, 39], Operations: ['83-69=14', '19+20=39']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
70,
80,
90,
84
] | 16 | [
"80-70=10",
"90-84=6",
"10+6=16"
] | Current State: 16:[70, 80, 90, 84], Operations: []
Exploring Operation: 80-70=10, Resulting Numbers: [90, 84, 10]
Generated Node #2: [90, 84, 10] from Operation: 80-70=10
Current State: 16:[90, 84, 10], Operations: ['80-70=10']
Exploring Operation: 90-84=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 90-84=6
Current State: 16:[10, 6], Operations: ['80-70=10', '90-84=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
87,
89,
48,
5
] | 10 | [
"89-87=2",
"48+2=50",
"50/5=10"
] | Current State: 10:[87, 89, 48, 5], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [48, 5, 2]
Generated Node #2: [48, 5, 2] from Operation: 89-87=2
Current State: 10:[48, 5, 2], Operations: ['89-87=2']
Exploring Operation: 48+2=50, Resulting Numbers: [5, 50]
Generated Node #3: [5, 50] from Operation: 48+2=50
Current State: 10:[5, 50], Operations: ['89-87=2', '48+2=50']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
44,
81,
74,
6
] | 45 | [
"44+81=125",
"74+6=80",
"125-80=45"
] | Current State: 45:[44, 81, 74, 6], Operations: []
Exploring Operation: 44+81=125, Resulting Numbers: [74, 6, 125]
Generated Node #2: [74, 6, 125] from Operation: 44+81=125
Current State: 45:[74, 6, 125], Operations: ['44+81=125']
Exploring Operation: 74+6=80, Resulting Numbers: [125, 80]
Generated Node #3: [125, 80] from Operation: 74+6=80
Current State: 45:[125, 80], Operations: ['44+81=125', '74+6=80']
Exploring Operation: 125-80=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
95,
6,
72,
73
] | 90 | [
"95-6=89",
"73-72=1",
"89+1=90"
] | Current State: 90:[95, 6, 72, 73], Operations: []
Exploring Operation: 95-6=89, Resulting Numbers: [72, 73, 89]
Generated Node #2: [72, 73, 89] from Operation: 95-6=89
Current State: 90:[72, 73, 89], Operations: ['95-6=89']
Exploring Operation: 73-72=1, Resulting Numbers: [89, 1]
Generated Node #3: [89, 1] from Operation: 73-72=1
Current State: 90:[89, 1], Operations: ['95-6=89', '73-72=1']
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
63,
54,
9,
87
] | 86 | [
"63-54=9",
"9/9=1",
"87-1=86"
] | Current State: 86:[63, 54, 9, 87], Operations: []
Exploring Operation: 63-54=9, Resulting Numbers: [9, 87, 9]
Generated Node #2: [9, 87, 9] from Operation: 63-54=9
Current State: 86:[9, 87, 9], Operations: ['63-54=9']
Exploring Operation: 9/9=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 9/9=1
Current State: 86:[87, 1], Operations: ['63-54=9', '9/9=1']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
60,
5,
76,
88
] | 99 | [
"60+5=65",
"76+88=164",
"164-65=99"
] | Current State: 99:[60, 5, 76, 88], Operations: []
Exploring Operation: 60+5=65, Resulting Numbers: [76, 88, 65]
Generated Node #2: [76, 88, 65] from Operation: 60+5=65
Current State: 99:[76, 88, 65], Operations: ['60+5=65']
Exploring Operation: 76+88=164, Resulting Numbers: [65, 164]
Generated Node #3: [65, 164] from Operation: 76+88=164
Current State: 99:[65, 164], Operations: ['60+5=65', '76+88=164']
Exploring Operation: 164-65=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
36,
83,
25,
71
] | 49 | [
"83-36=47",
"25+71=96",
"96-47=49"
] | Current State: 49:[36, 83, 25, 71], Operations: []
Exploring Operation: 83-36=47, Resulting Numbers: [25, 71, 47]
Generated Node #2: [25, 71, 47] from Operation: 83-36=47
Current State: 49:[25, 71, 47], Operations: ['83-36=47']
Exploring Operation: 25+71=96, Resulting Numbers: [47, 96]
Generated Node #3: [47, 96] from Operation: 25+71=96
Current State: 49:[47, 96], Operations: ['83-36=47', '25+71=96']
Exploring Operation: 96-47=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
21,
34,
10,
31
] | 66 | [
"31-21=10",
"10*10=100",
"100-34=66"
] | Current State: 66:[21, 34, 10, 31], Operations: []
Exploring Operation: 31-21=10, Resulting Numbers: [34, 10, 10]
Generated Node #2: [34, 10, 10] from Operation: 31-21=10
Current State: 66:[34, 10, 10], Operations: ['31-21=10']
Exploring Operation: 10*10=100, Resulting Numbers: [34, 100]
Generated Node #3: [34, 100] from Operation: 10*10=100
Current State: 66:[34, 100], Operations: ['31-21=10', '10*10=100']
Exploring Operation: 100-34=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
12,
28,
32,
52
] | 56 | [
"12+52=64",
"28*64=1792",
"1792/32=56"
] | Current State: 56:[12, 28, 32, 52], Operations: []
Exploring Operation: 12+52=64, Resulting Numbers: [28, 32, 64]
Generated Node #2: [28, 32, 64] from Operation: 12+52=64
Current State: 56:[28, 32, 64], Operations: ['12+52=64']
Exploring Operation: 28*64=1792, Resulting Numbers: [32, 1792]
Generated Node #3: [32, 1792] from Operation: 28*64=1792
Current State: 56:[32, 1792], Operations: ['12+52=64', '28*64=1792']
Exploring Operation: 1792/32=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
16,
24,
67,
88
] | 41 | [
"16*67=1072",
"1072-88=984",
"984/24=41"
] | Current State: 41:[16, 24, 67, 88], Operations: []
Exploring Operation: 16*67=1072, Resulting Numbers: [24, 88, 1072]
Generated Node #2: [24, 88, 1072] from Operation: 16*67=1072
Current State: 41:[24, 88, 1072], Operations: ['16*67=1072']
Exploring Operation: 1072-88=984, Resulting Numbers: [24, 984]
Generated Node #3: [24, 984] from Operation: 1072-88=984
Current State: 41:[24, 984], Operations: ['16*67=1072', '1072-88=984']
Exploring Operation: 984/24=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
84,
50,
43,
1
] | 77 | [
"84-50=34",
"43*1=43",
"34+43=77"
] | Current State: 77:[84, 50, 43, 1], Operations: []
Exploring Operation: 84-50=34, Resulting Numbers: [43, 1, 34]
Generated Node #2: [43, 1, 34] from Operation: 84-50=34
Current State: 77:[43, 1, 34], Operations: ['84-50=34']
Exploring Operation: 43*1=43, Resulting Numbers: [34, 43]
Generated Node #3: [34, 43] from Operation: 43*1=43
Current State: 77:[34, 43], Operations: ['84-50=34', '43*1=43']
Exploring Operation: 34+43=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
1,
74,
60,
46
] | 88 | [
"1*74=74",
"60-46=14",
"74+14=88"
] | Current State: 88:[1, 74, 60, 46], Operations: []
Exploring Operation: 1*74=74, Resulting Numbers: [60, 46, 74]
Generated Node #2: [60, 46, 74] from Operation: 1*74=74
Current State: 88:[60, 46, 74], Operations: ['1*74=74']
Exploring Operation: 60-46=14, Resulting Numbers: [74, 14]
Generated Node #3: [74, 14] from Operation: 60-46=14
Current State: 88:[74, 14], Operations: ['1*74=74', '60-46=14']
Exploring Operation: 74+14=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
12,
58,
25,
65
] | 53 | [
"25-12=13",
"65/13=5",
"58-5=53"
] | Current State: 53:[12, 58, 25, 65], Operations: []
Exploring Operation: 25-12=13, Resulting Numbers: [58, 65, 13]
Generated Node #2: [58, 65, 13] from Operation: 25-12=13
Current State: 53:[58, 65, 13], Operations: ['25-12=13']
Exploring Operation: 65/13=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 65/13=5
Current State: 53:[58, 5], Operations: ['25-12=13', '65/13=5']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
78,
91,
63,
93
] | 12 | [
"91-78=13",
"63+93=156",
"156/13=12"
] | Current State: 12:[78, 91, 63, 93], Operations: []
Exploring Operation: 91-78=13, Resulting Numbers: [63, 93, 13]
Generated Node #2: [63, 93, 13] from Operation: 91-78=13
Current State: 12:[63, 93, 13], Operations: ['91-78=13']
Exploring Operation: 63+93=156, Resulting Numbers: [13, 156]
Generated Node #3: [13, 156] from Operation: 63+93=156
Current State: 12:[13, 156], Operations: ['91-78=13', '63+93=156']
Exploring Operation: 156/13=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
42,
36,
38,
52
] | 64 | [
"42+36=78",
"52-38=14",
"78-14=64"
] | Current State: 64:[42, 36, 38, 52], Operations: []
Exploring Operation: 42+36=78, Resulting Numbers: [38, 52, 78]
Generated Node #2: [38, 52, 78] from Operation: 42+36=78
Current State: 64:[38, 52, 78], Operations: ['42+36=78']
Exploring Operation: 52-38=14, Resulting Numbers: [78, 14]
Generated Node #3: [78, 14] from Operation: 52-38=14
Current State: 64:[78, 14], Operations: ['42+36=78', '52-38=14']
Exploring Operation: 78-14=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
33,
54,
60,
35
] | 36 | [
"54-33=21",
"60*21=1260",
"1260/35=36"
] | Current State: 36:[33, 54, 60, 35], Operations: []
Exploring Operation: 54-33=21, Resulting Numbers: [60, 35, 21]
Generated Node #2: [60, 35, 21] from Operation: 54-33=21
Current State: 36:[60, 35, 21], Operations: ['54-33=21']
Exploring Operation: 60*21=1260, Resulting Numbers: [35, 1260]
Generated Node #3: [35, 1260] from Operation: 60*21=1260
Current State: 36:[35, 1260], Operations: ['54-33=21', '60*21=1260']
Exploring Operation: 1260/35=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
5,
89,
46,
52
] | 89 | [
"5+46=51",
"52-51=1",
"89*1=89"
] | Current State: 89:[5, 89, 46, 52], Operations: []
Exploring Operation: 5+46=51, Resulting Numbers: [89, 52, 51]
Generated Node #2: [89, 52, 51] from Operation: 5+46=51
Current State: 89:[89, 52, 51], Operations: ['5+46=51']
Exploring Operation: 52-51=1, Resulting Numbers: [89, 1]
Generated Node #3: [89, 1] from Operation: 52-51=1
Current State: 89:[89, 1], Operations: ['5+46=51', '52-51=1']
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
21,
5,
43,
88
] | 20 | [
"43-21=22",
"5*88=440",
"440/22=20"
] | Current State: 20:[21, 5, 43, 88], Operations: []
Exploring Operation: 43-21=22, Resulting Numbers: [5, 88, 22]
Generated Node #2: [5, 88, 22] from Operation: 43-21=22
Current State: 20:[5, 88, 22], Operations: ['43-21=22']
Exploring Operation: 5*88=440, Resulting Numbers: [22, 440]
Generated Node #3: [22, 440] from Operation: 5*88=440
Current State: 20:[22, 440], Operations: ['43-21=22', '5*88=440']
Exploring Operation: 440/22=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
79,
65,
36,
2
] | 100 | [
"79-65=14",
"36+14=50",
"2*50=100"
] | Current State: 100:[79, 65, 36, 2], Operations: []
Exploring Operation: 79-65=14, Resulting Numbers: [36, 2, 14]
Generated Node #2: [36, 2, 14] from Operation: 79-65=14
Current State: 100:[36, 2, 14], Operations: ['79-65=14']
Exploring Operation: 36+14=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 36+14=50
Current State: 100:[2, 50], Operations: ['79-65=14', '36+14=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
84,
81,
40,
21
] | 99 | [
"84-81=3",
"40*3=120",
"120-21=99"
] | Current State: 99:[84, 81, 40, 21], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [40, 21, 3]
Generated Node #2: [40, 21, 3] from Operation: 84-81=3
Current State: 99:[40, 21, 3], Operations: ['84-81=3']
Exploring Operation: 40*3=120, Resulting Numbers: [21, 120]
Generated Node #3: [21, 120] from Operation: 40*3=120
Current State: 99:[21, 120], Operations: ['84-81=3', '40*3=120']
Exploring Operation: 120-21=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
20,
3,
50,
54
] | 56 | [
"20*3=60",
"54-50=4",
"60-4=56"
] | Current State: 56:[20, 3, 50, 54], Operations: []
Exploring Operation: 20*3=60, Resulting Numbers: [50, 54, 60]
Generated Node #2: [50, 54, 60] from Operation: 20*3=60
Current State: 56:[50, 54, 60], Operations: ['20*3=60']
Exploring Operation: 54-50=4, Resulting Numbers: [60, 4]
Generated Node #3: [60, 4] from Operation: 54-50=4
Current State: 56:[60, 4], Operations: ['20*3=60', '54-50=4']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
26,
72,
3,
85
] | 39 | [
"26+72=98",
"98-85=13",
"3*13=39"
] | Current State: 39:[26, 72, 3, 85], Operations: []
Exploring Operation: 26+72=98, Resulting Numbers: [3, 85, 98]
Generated Node #2: [3, 85, 98] from Operation: 26+72=98
Current State: 39:[3, 85, 98], Operations: ['26+72=98']
Exploring Operation: 98-85=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 98-85=13
Current State: 39:[3, 13], Operations: ['26+72=98', '98-85=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
96,
60,
2,
88
] | 54 | [
"96-60=36",
"2+88=90",
"90-36=54"
] | Current State: 54:[96, 60, 2, 88], Operations: []
Exploring Operation: 96-60=36, Resulting Numbers: [2, 88, 36]
Generated Node #2: [2, 88, 36] from Operation: 96-60=36
Current State: 54:[2, 88, 36], Operations: ['96-60=36']
Exploring Operation: 2+88=90, Resulting Numbers: [36, 90]
Generated Node #3: [36, 90] from Operation: 2+88=90
Current State: 54:[36, 90], Operations: ['96-60=36', '2+88=90']
Exploring Operation: 90-36=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
69,
32,
60,
45
] | 52 | [
"69-32=37",
"60-45=15",
"37+15=52"
] | Current State: 52:[69, 32, 60, 45], Operations: []
Exploring Operation: 69-32=37, Resulting Numbers: [60, 45, 37]
Generated Node #2: [60, 45, 37] from Operation: 69-32=37
Current State: 52:[60, 45, 37], Operations: ['69-32=37']
Exploring Operation: 60-45=15, Resulting Numbers: [37, 15]
Generated Node #3: [37, 15] from Operation: 60-45=15
Current State: 52:[37, 15], Operations: ['69-32=37', '60-45=15']
Exploring Operation: 37+15=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
80,
46,
29,
1
] | 64 | [
"80-46=34",
"29+1=30",
"34+30=64"
] | Current State: 64:[80, 46, 29, 1], Operations: []
Exploring Operation: 80-46=34, Resulting Numbers: [29, 1, 34]
Generated Node #2: [29, 1, 34] from Operation: 80-46=34
Current State: 64:[29, 1, 34], Operations: ['80-46=34']
Exploring Operation: 29+1=30, Resulting Numbers: [34, 30]
Generated Node #3: [34, 30] from Operation: 29+1=30
Current State: 64:[34, 30], Operations: ['80-46=34', '29+1=30']
Exploring Operation: 34+30=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
92,
25,
48,
54
] | 15 | [
"92+25=117",
"48+54=102",
"117-102=15"
] | Current State: 15:[92, 25, 48, 54], Operations: []
Exploring Operation: 92+25=117, Resulting Numbers: [48, 54, 117]
Generated Node #2: [48, 54, 117] from Operation: 92+25=117
Current State: 15:[48, 54, 117], Operations: ['92+25=117']
Exploring Operation: 48+54=102, Resulting Numbers: [117, 102]
Generated Node #3: [117, 102] from Operation: 48+54=102
Current State: 15:[117, 102], Operations: ['92+25=117', '48+54=102']
Exploring Operation: 117-102=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
49,
53,
93,
3
] | 86 | [
"53-49=4",
"93-3=90",
"90-4=86"
] | Current State: 86:[49, 53, 93, 3], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [93, 3, 4]
Generated Node #2: [93, 3, 4] from Operation: 53-49=4
Current State: 86:[93, 3, 4], Operations: ['53-49=4']
Exploring Operation: 93-3=90, Resulting Numbers: [4, 90]
Generated Node #3: [4, 90] from Operation: 93-3=90
Current State: 86:[4, 90], Operations: ['53-49=4', '93-3=90']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
53,
35,
4,
68
] | 39 | [
"53+35=88",
"68+88=156",
"156/4=39"
] | Current State: 39:[53, 35, 4, 68], Operations: []
Exploring Operation: 53+35=88, Resulting Numbers: [4, 68, 88]
Generated Node #2: [4, 68, 88] from Operation: 53+35=88
Current State: 39:[4, 68, 88], Operations: ['53+35=88']
Exploring Operation: 68+88=156, Resulting Numbers: [4, 156]
Generated Node #3: [4, 156] from Operation: 68+88=156
Current State: 39:[4, 156], Operations: ['53+35=88', '68+88=156']
Exploring Operation: 156/4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
27,
81,
84,
16
] | 21 | [
"84-81=3",
"16*3=48",
"48-27=21"
] | Current State: 21:[27, 81, 84, 16], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [27, 16, 3]
Generated Node #2: [27, 16, 3] from Operation: 84-81=3
Current State: 21:[27, 16, 3], Operations: ['84-81=3']
Exploring Operation: 16*3=48, Resulting Numbers: [27, 48]
Generated Node #3: [27, 48] from Operation: 16*3=48
Current State: 21:[27, 48], Operations: ['84-81=3', '16*3=48']
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
28,
76,
2,
81
] | 38 | [
"81-76=5",
"2*5=10",
"28+10=38"
] | Current State: 38:[28, 76, 2, 81], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [28, 2, 5]
Generated Node #2: [28, 2, 5] from Operation: 81-76=5
Current State: 38:[28, 2, 5], Operations: ['81-76=5']
Exploring Operation: 2*5=10, Resulting Numbers: [28, 10]
Generated Node #3: [28, 10] from Operation: 2*5=10
Current State: 38:[28, 10], Operations: ['81-76=5', '2*5=10']
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
79,
72,
54,
25
] | 71 | [
"79-54=25",
"25/25=1",
"72-1=71"
] | Current State: 71:[79, 72, 54, 25], Operations: []
Exploring Operation: 79-54=25, Resulting Numbers: [72, 25, 25]
Generated Node #2: [72, 25, 25] from Operation: 79-54=25
Current State: 71:[72, 25, 25], Operations: ['79-54=25']
Exploring Operation: 25/25=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 25/25=1
Current State: 71:[72, 1], Operations: ['79-54=25', '25/25=1']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
97,
2,
24,
2
] | 24 | [
"2-2=0",
"97*0=0",
"24+0=24"
] | Current State: 24:[97, 2, 24, 2], Operations: []
Exploring Operation: 2-2=0, Resulting Numbers: [97, 24, 0]
Generated Node #2: [97, 24, 0] from Operation: 2-2=0
Current State: 24:[97, 24, 0], Operations: ['2-2=0']
Exploring Operation: 97*0=0, Resulting Numbers: [24, 0]
Generated Node #3: [24, 0] from Operation: 97*0=0
Current State: 24:[24, 0], Operations: ['2-2=0', '97*0=0']
Exploring Operation: 24+0=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
62,
4,
18,
40
] | 64 | [
"40-4=36",
"36/18=2",
"62+2=64"
] | Current State: 64:[62, 4, 18, 40], Operations: []
Exploring Operation: 40-4=36, Resulting Numbers: [62, 18, 36]
Generated Node #2: [62, 18, 36] from Operation: 40-4=36
Current State: 64:[62, 18, 36], Operations: ['40-4=36']
Exploring Operation: 36/18=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 36/18=2
Current State: 64:[62, 2], Operations: ['40-4=36', '36/18=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
75,
34,
82,
95
] | 97 | [
"75-34=41",
"82/41=2",
"95+2=97"
] | Current State: 97:[75, 34, 82, 95], Operations: []
Exploring Operation: 75-34=41, Resulting Numbers: [82, 95, 41]
Generated Node #2: [82, 95, 41] from Operation: 75-34=41
Current State: 97:[82, 95, 41], Operations: ['75-34=41']
Exploring Operation: 82/41=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 82/41=2
Current State: 97:[95, 2], Operations: ['75-34=41', '82/41=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
22,
18,
69,
4
] | 19 | [
"22+69=91",
"18*4=72",
"91-72=19"
] | Current State: 19:[22, 18, 69, 4], Operations: []
Exploring Operation: 22+69=91, Resulting Numbers: [18, 4, 91]
Generated Node #2: [18, 4, 91] from Operation: 22+69=91
Current State: 19:[18, 4, 91], Operations: ['22+69=91']
Exploring Operation: 18*4=72, Resulting Numbers: [91, 72]
Generated Node #3: [91, 72] from Operation: 18*4=72
Current State: 19:[91, 72], Operations: ['22+69=91', '18*4=72']
Exploring Operation: 91-72=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
4,
57,
35,
86
] | 27 | [
"57-35=22",
"86+22=108",
"108/4=27"
] | Current State: 27:[4, 57, 35, 86], Operations: []
Exploring Operation: 57-35=22, Resulting Numbers: [4, 86, 22]
Generated Node #2: [4, 86, 22] from Operation: 57-35=22
Current State: 27:[4, 86, 22], Operations: ['57-35=22']
Exploring Operation: 86+22=108, Resulting Numbers: [4, 108]
Generated Node #3: [4, 108] from Operation: 86+22=108
Current State: 27:[4, 108], Operations: ['57-35=22', '86+22=108']
Exploring Operation: 108/4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
48,
64,
41,
65
] | 40 | [
"64-48=16",
"65-41=24",
"16+24=40"
] | Current State: 40:[48, 64, 41, 65], Operations: []
Exploring Operation: 64-48=16, Resulting Numbers: [41, 65, 16]
Generated Node #2: [41, 65, 16] from Operation: 64-48=16
Current State: 40:[41, 65, 16], Operations: ['64-48=16']
Exploring Operation: 65-41=24, Resulting Numbers: [16, 24]
Generated Node #3: [16, 24] from Operation: 65-41=24
Current State: 40:[16, 24], Operations: ['64-48=16', '65-41=24']
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
26,
7,
98,
7
] | 41 | [
"7+98=105",
"105/7=15",
"26+15=41"
] | Current State: 41:[26, 7, 98, 7], Operations: []
Exploring Operation: 7+98=105, Resulting Numbers: [26, 105]
Generated Node #2: [26, 105] from Operation: 7+98=105
Current State: 41:[26, 105], Operations: ['7+98=105']
Exploring Operation: 105/7=15, Resulting Numbers: [26, 15]
Generated Node #3: [26, 15] from Operation: 105/7=15
Current State: 41:[26, 15], Operations: ['7+98=105', '105/7=15']
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
71,
15,
90,
24
] | 20 | [
"71+15=86",
"90-24=66",
"86-66=20"
] | Current State: 20:[71, 15, 90, 24], Operations: []
Exploring Operation: 71+15=86, Resulting Numbers: [90, 24, 86]
Generated Node #2: [90, 24, 86] from Operation: 71+15=86
Current State: 20:[90, 24, 86], Operations: ['71+15=86']
Exploring Operation: 90-24=66, Resulting Numbers: [86, 66]
Generated Node #3: [86, 66] from Operation: 90-24=66
Current State: 20:[86, 66], Operations: ['71+15=86', '90-24=66']
Exploring Operation: 86-66=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
26,
2,
68,
89
] | 45 | [
"26-2=24",
"89-68=21",
"24+21=45"
] | Current State: 45:[26, 2, 68, 89], Operations: []
Exploring Operation: 26-2=24, Resulting Numbers: [68, 89, 24]
Generated Node #2: [68, 89, 24] from Operation: 26-2=24
Current State: 45:[68, 89, 24], Operations: ['26-2=24']
Exploring Operation: 89-68=21, Resulting Numbers: [24, 21]
Generated Node #3: [24, 21] from Operation: 89-68=21
Current State: 45:[24, 21], Operations: ['26-2=24', '89-68=21']
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
37,
73,
75,
72
] | 39 | [
"73-37=36",
"75-72=3",
"36+3=39"
] | Current State: 39:[37, 73, 75, 72], Operations: []
Exploring Operation: 73-37=36, Resulting Numbers: [75, 72, 36]
Generated Node #2: [75, 72, 36] from Operation: 73-37=36
Current State: 39:[75, 72, 36], Operations: ['73-37=36']
Exploring Operation: 75-72=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 75-72=3
Current State: 39:[36, 3], Operations: ['73-37=36', '75-72=3']
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
90,
92,
98,
4
] | 25 | [
"92-90=2",
"98+2=100",
"100/4=25"
] | Current State: 25:[90, 92, 98, 4], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [98, 4, 2]
Generated Node #2: [98, 4, 2] from Operation: 92-90=2
Current State: 25:[98, 4, 2], Operations: ['92-90=2']
Exploring Operation: 98+2=100, Resulting Numbers: [4, 100]
Generated Node #3: [4, 100] from Operation: 98+2=100
Current State: 25:[4, 100], Operations: ['92-90=2', '98+2=100']
Exploring Operation: 100/4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
31,
32,
40,
3
] | 96 | [
"40-31=9",
"32*9=288",
"288/3=96"
] | Current State: 96:[31, 32, 40, 3], Operations: []
Exploring Operation: 40-31=9, Resulting Numbers: [32, 3, 9]
Generated Node #2: [32, 3, 9] from Operation: 40-31=9
Current State: 96:[32, 3, 9], Operations: ['40-31=9']
Exploring Operation: 32*9=288, Resulting Numbers: [3, 288]
Generated Node #3: [3, 288] from Operation: 32*9=288
Current State: 96:[3, 288], Operations: ['40-31=9', '32*9=288']
Exploring Operation: 288/3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
85,
33,
58,
73
] | 43 | [
"33*73=2409",
"85+2409=2494",
"2494/58=43"
] | Current State: 43:[85, 33, 58, 73], Operations: []
Exploring Operation: 33*73=2409, Resulting Numbers: [85, 58, 2409]
Generated Node #2: [85, 58, 2409] from Operation: 33*73=2409
Current State: 43:[85, 58, 2409], Operations: ['33*73=2409']
Exploring Operation: 85+2409=2494, Resulting Numbers: [58, 2494]
Generated Node #3: [58, 2494] from Operation: 85+2409=2494
Current State: 43:[58, 2494], Operations: ['33*73=2409', '85+2409=2494']
Exploring Operation: 2494/58=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
76,
58,
66,
4
] | 74 | [
"66-58=8",
"8/4=2",
"76-2=74"
] | Current State: 74:[76, 58, 66, 4], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [76, 4, 8]
Generated Node #2: [76, 4, 8] from Operation: 66-58=8
Current State: 74:[76, 4, 8], Operations: ['66-58=8']
Exploring Operation: 8/4=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 8/4=2
Current State: 74:[76, 2], Operations: ['66-58=8', '8/4=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
92,
37,
28,
69
] | 96 | [
"92-37=55",
"69-28=41",
"55+41=96"
] | Current State: 96:[92, 37, 28, 69], Operations: []
Exploring Operation: 92-37=55, Resulting Numbers: [28, 69, 55]
Generated Node #2: [28, 69, 55] from Operation: 92-37=55
Current State: 96:[28, 69, 55], Operations: ['92-37=55']
Exploring Operation: 69-28=41, Resulting Numbers: [55, 41]
Generated Node #3: [55, 41] from Operation: 69-28=41
Current State: 96:[55, 41], Operations: ['92-37=55', '69-28=41']
Exploring Operation: 55+41=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
46,
8,
37,
13
] | 62 | [
"46-8=38",
"37-13=24",
"38+24=62"
] | Current State: 62:[46, 8, 37, 13], Operations: []
Exploring Operation: 46-8=38, Resulting Numbers: [37, 13, 38]
Generated Node #2: [37, 13, 38] from Operation: 46-8=38
Current State: 62:[37, 13, 38], Operations: ['46-8=38']
Exploring Operation: 37-13=24, Resulting Numbers: [38, 24]
Generated Node #3: [38, 24] from Operation: 37-13=24
Current State: 62:[38, 24], Operations: ['46-8=38', '37-13=24']
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
82,
88,
67,
20
] | 41 | [
"88-82=6",
"67-20=47",
"47-6=41"
] | Current State: 41:[82, 88, 67, 20], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [67, 20, 6]
Generated Node #2: [67, 20, 6] from Operation: 88-82=6
Current State: 41:[67, 20, 6], Operations: ['88-82=6']
Exploring Operation: 67-20=47, Resulting Numbers: [6, 47]
Generated Node #3: [6, 47] from Operation: 67-20=47
Current State: 41:[6, 47], Operations: ['88-82=6', '67-20=47']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
96,
3,
19,
18
] | 54 | [
"96*3=288",
"19*18=342",
"342-288=54"
] | Current State: 54:[96, 3, 19, 18], Operations: []
Exploring Operation: 96*3=288, Resulting Numbers: [19, 18, 288]
Generated Node #2: [19, 18, 288] from Operation: 96*3=288
Current State: 54:[19, 18, 288], Operations: ['96*3=288']
Exploring Operation: 19*18=342, Resulting Numbers: [288, 342]
Generated Node #3: [288, 342] from Operation: 19*18=342
Current State: 54:[288, 342], Operations: ['96*3=288', '19*18=342']
Exploring Operation: 342-288=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
96,
5,
60,
76
] | 15 | [
"96-76=20",
"5*60=300",
"300/20=15"
] | Current State: 15:[96, 5, 60, 76], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [5, 60, 20]
Generated Node #2: [5, 60, 20] from Operation: 96-76=20
Current State: 15:[5, 60, 20], Operations: ['96-76=20']
Exploring Operation: 5*60=300, Resulting Numbers: [20, 300]
Generated Node #3: [20, 300] from Operation: 5*60=300
Current State: 15:[20, 300], Operations: ['96-76=20', '5*60=300']
Exploring Operation: 300/20=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
76,
55,
24,
80
] | 76 | [
"55+24=79",
"80-79=1",
"76*1=76"
] | Current State: 76:[76, 55, 24, 80], Operations: []
Exploring Operation: 55+24=79, Resulting Numbers: [76, 80, 79]
Generated Node #2: [76, 80, 79] from Operation: 55+24=79
Current State: 76:[76, 80, 79], Operations: ['55+24=79']
Exploring Operation: 80-79=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 80-79=1
Current State: 76:[76, 1], Operations: ['55+24=79', '80-79=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
79,
45,
79,
70
] | 70 | [
"79-79=0",
"45*0=0",
"70+0=70"
] | Current State: 70:[79, 45, 79, 70], Operations: []
Exploring Operation: 79-79=0, Resulting Numbers: [45, 70, 0]
Generated Node #2: [45, 70, 0] from Operation: 79-79=0
Current State: 70:[45, 70, 0], Operations: ['79-79=0']
Exploring Operation: 45*0=0, Resulting Numbers: [70, 0]
Generated Node #3: [70, 0] from Operation: 45*0=0
Current State: 70:[70, 0], Operations: ['79-79=0', '45*0=0']
Exploring Operation: 70+0=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
99,
58,
60,
2
] | 43 | [
"99+60=159",
"58*2=116",
"159-116=43"
] | Current State: 43:[99, 58, 60, 2], Operations: []
Exploring Operation: 99+60=159, Resulting Numbers: [58, 2, 159]
Generated Node #2: [58, 2, 159] from Operation: 99+60=159
Current State: 43:[58, 2, 159], Operations: ['99+60=159']
Exploring Operation: 58*2=116, Resulting Numbers: [159, 116]
Generated Node #3: [159, 116] from Operation: 58*2=116
Current State: 43:[159, 116], Operations: ['99+60=159', '58*2=116']
Exploring Operation: 159-116=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
27,
42,
83,
2
] | 96 | [
"42-27=15",
"83-2=81",
"15+81=96"
] | Current State: 96:[27, 42, 83, 2], Operations: []
Exploring Operation: 42-27=15, Resulting Numbers: [83, 2, 15]
Generated Node #2: [83, 2, 15] from Operation: 42-27=15
Current State: 96:[83, 2, 15], Operations: ['42-27=15']
Exploring Operation: 83-2=81, Resulting Numbers: [15, 81]
Generated Node #3: [15, 81] from Operation: 83-2=81
Current State: 96:[15, 81], Operations: ['42-27=15', '83-2=81']
Exploring Operation: 15+81=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
44,
3,
46,
89
] | 42 | [
"3+89=92",
"92/46=2",
"44-2=42"
] | Current State: 42:[44, 3, 46, 89], Operations: []
Exploring Operation: 3+89=92, Resulting Numbers: [44, 46, 92]
Generated Node #2: [44, 46, 92] from Operation: 3+89=92
Current State: 42:[44, 46, 92], Operations: ['3+89=92']
Exploring Operation: 92/46=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 92/46=2
Current State: 42:[44, 2], Operations: ['3+89=92', '92/46=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
42,
1,
66,
29
] | 44 | [
"29-1=28",
"66*28=1848",
"1848/42=44"
] | Current State: 44:[42, 1, 66, 29], Operations: []
Exploring Operation: 29-1=28, Resulting Numbers: [42, 66, 28]
Generated Node #2: [42, 66, 28] from Operation: 29-1=28
Current State: 44:[42, 66, 28], Operations: ['29-1=28']
Exploring Operation: 66*28=1848, Resulting Numbers: [42, 1848]
Generated Node #3: [42, 1848] from Operation: 66*28=1848
Current State: 44:[42, 1848], Operations: ['29-1=28', '66*28=1848']
Exploring Operation: 1848/42=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
8,
4,
25,
2
] | 36 | [
"8*2=16",
"25-16=9",
"4*9=36"
] | Current State: 36:[8, 4, 25, 2], Operations: []
Exploring Operation: 8*2=16, Resulting Numbers: [4, 25, 16]
Generated Node #2: [4, 25, 16] from Operation: 8*2=16
Current State: 36:[4, 25, 16], Operations: ['8*2=16']
Exploring Operation: 25-16=9, Resulting Numbers: [4, 9]
Generated Node #3: [4, 9] from Operation: 25-16=9
Current State: 36:[4, 9], Operations: ['8*2=16', '25-16=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
90,
22,
2,
45
] | 69 | [
"90+22=112",
"45-2=43",
"112-43=69"
] | Current State: 69:[90, 22, 2, 45], Operations: []
Exploring Operation: 90+22=112, Resulting Numbers: [2, 45, 112]
Generated Node #2: [2, 45, 112] from Operation: 90+22=112
Current State: 69:[2, 45, 112], Operations: ['90+22=112']
Exploring Operation: 45-2=43, Resulting Numbers: [112, 43]
Generated Node #3: [112, 43] from Operation: 45-2=43
Current State: 69:[112, 43], Operations: ['90+22=112', '45-2=43']
Exploring Operation: 112-43=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
38,
93,
38,
5
] | 49 | [
"93-38=55",
"55/5=11",
"38+11=49"
] | Current State: 49:[38, 93, 38, 5], Operations: []
Exploring Operation: 93-38=55, Resulting Numbers: [5, 55]
Generated Node #2: [5, 55] from Operation: 93-38=55
Current State: 49:[5, 55], Operations: ['93-38=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,49 equal: Goal Reached
Exploring Operation: 38+11=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
96,
19,
34,
24
] | 74 | [
"24-19=5",
"34*5=170",
"170-96=74"
] | Current State: 74:[96, 19, 34, 24], Operations: []
Exploring Operation: 24-19=5, Resulting Numbers: [96, 34, 5]
Generated Node #2: [96, 34, 5] from Operation: 24-19=5
Current State: 74:[96, 34, 5], Operations: ['24-19=5']
Exploring Operation: 34*5=170, Resulting Numbers: [96, 170]
Generated Node #3: [96, 170] from Operation: 34*5=170
Current State: 74:[96, 170], Operations: ['24-19=5', '34*5=170']
Exploring Operation: 170-96=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
81,
6,
37,
40
] | 10 | [
"81+6=87",
"37+40=77",
"87-77=10"
] | Current State: 10:[81, 6, 37, 40], Operations: []
Exploring Operation: 81+6=87, Resulting Numbers: [37, 40, 87]
Generated Node #2: [37, 40, 87] from Operation: 81+6=87
Current State: 10:[37, 40, 87], Operations: ['81+6=87']
Exploring Operation: 37+40=77, Resulting Numbers: [87, 77]
Generated Node #3: [87, 77] from Operation: 37+40=77
Current State: 10:[87, 77], Operations: ['81+6=87', '37+40=77']
Exploring Operation: 87-77=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
75,
81,
2,
79
] | 75 | [
"75+81=156",
"2+79=81",
"156-81=75"
] | Current State: 75:[75, 81, 2, 79], Operations: []
Exploring Operation: 75+81=156, Resulting Numbers: [2, 79, 156]
Generated Node #2: [2, 79, 156] from Operation: 75+81=156
Current State: 75:[2, 79, 156], Operations: ['75+81=156']
Exploring Operation: 2+79=81, Resulting Numbers: [156, 81]
Generated Node #3: [156, 81] from Operation: 2+79=81
Current State: 75:[156, 81], Operations: ['75+81=156', '2+79=81']
Exploring Operation: 156-81=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
26,
13,
54,
66
] | 14 | [
"26/13=2",
"66-54=12",
"2+12=14"
] | Current State: 14:[26, 13, 54, 66], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [54, 66, 2]
Generated Node #2: [54, 66, 2] from Operation: 26/13=2
Current State: 14:[54, 66, 2], Operations: ['26/13=2']
Exploring Operation: 66-54=12, Resulting Numbers: [2, 12]
Generated Node #3: [2, 12] from Operation: 66-54=12
Current State: 14:[2, 12], Operations: ['26/13=2', '66-54=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
65,
69,
41,
68
] | 96 | [
"69-65=4",
"41*4=164",
"164-68=96"
] | Current State: 96:[65, 69, 41, 68], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [41, 68, 4]
Generated Node #2: [41, 68, 4] from Operation: 69-65=4
Current State: 96:[41, 68, 4], Operations: ['69-65=4']
Exploring Operation: 41*4=164, Resulting Numbers: [68, 164]
Generated Node #3: [68, 164] from Operation: 41*4=164
Current State: 96:[68, 164], Operations: ['69-65=4', '41*4=164']
Exploring Operation: 164-68=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
78,
46,
60,
86
] | 49 | [
"86-60=26",
"78/26=3",
"46+3=49"
] | Current State: 49:[78, 46, 60, 86], Operations: []
Exploring Operation: 86-60=26, Resulting Numbers: [78, 46, 26]
Generated Node #2: [78, 46, 26] from Operation: 86-60=26
Current State: 49:[78, 46, 26], Operations: ['86-60=26']
Exploring Operation: 78/26=3, Resulting Numbers: [46, 3]
Generated Node #3: [46, 3] from Operation: 78/26=3
Current State: 49:[46, 3], Operations: ['86-60=26', '78/26=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
3,
85,
73,
8
] | 58 | [
"73+8=81",
"81/3=27",
"85-27=58"
] | Current State: 58:[3, 85, 73, 8], Operations: []
Exploring Operation: 73+8=81, Resulting Numbers: [3, 85, 81]
Generated Node #2: [3, 85, 81] from Operation: 73+8=81
Current State: 58:[3, 85, 81], Operations: ['73+8=81']
Exploring Operation: 81/3=27, Resulting Numbers: [85, 27]
Generated Node #3: [85, 27] from Operation: 81/3=27
Current State: 58:[85, 27], Operations: ['73+8=81', '81/3=27']
Exploring Operation: 85-27=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
15,
30,
95,
5
] | 34 | [
"30-15=15",
"95/5=19",
"15+19=34"
] | Current State: 34:[15, 30, 95, 5], Operations: []
Exploring Operation: 30-15=15, Resulting Numbers: [95, 5, 15]
Generated Node #2: [95, 5, 15] from Operation: 30-15=15
Current State: 34:[95, 5, 15], Operations: ['30-15=15']
Exploring Operation: 95/5=19, Resulting Numbers: [15, 19]
Generated Node #3: [15, 19] from Operation: 95/5=19
Current State: 34:[15, 19], Operations: ['30-15=15', '95/5=19']
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
12,
18,
36,
41
] | 69 | [
"36/12=3",
"41-18=23",
"3*23=69"
] | Current State: 69:[12, 18, 36, 41], Operations: []
Exploring Operation: 36/12=3, Resulting Numbers: [18, 41, 3]
Generated Node #2: [18, 41, 3] from Operation: 36/12=3
Current State: 69:[18, 41, 3], Operations: ['36/12=3']
Exploring Operation: 41-18=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 41-18=23
Current State: 69:[3, 23], Operations: ['36/12=3', '41-18=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
2,
87,
29,
59
] | 88 | [
"2*29=58",
"87+59=146",
"146-58=88"
] | Current State: 88:[2, 87, 29, 59], Operations: []
Exploring Operation: 2*29=58, Resulting Numbers: [87, 59, 58]
Generated Node #2: [87, 59, 58] from Operation: 2*29=58
Current State: 88:[87, 59, 58], Operations: ['2*29=58']
Exploring Operation: 87+59=146, Resulting Numbers: [58, 146]
Generated Node #3: [58, 146] from Operation: 87+59=146
Current State: 88:[58, 146], Operations: ['2*29=58', '87+59=146']
Exploring Operation: 146-58=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
16,
93,
3,
21
] | 14 | [
"93-16=77",
"3*21=63",
"77-63=14"
] | Current State: 14:[16, 93, 3, 21], Operations: []
Exploring Operation: 93-16=77, Resulting Numbers: [3, 21, 77]
Generated Node #2: [3, 21, 77] from Operation: 93-16=77
Current State: 14:[3, 21, 77], Operations: ['93-16=77']
Exploring Operation: 3*21=63, Resulting Numbers: [77, 63]
Generated Node #3: [77, 63] from Operation: 3*21=63
Current State: 14:[77, 63], Operations: ['93-16=77', '3*21=63']
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
51,
8,
4,
80
] | 82 | [
"51*8=408",
"408-80=328",
"328/4=82"
] | Current State: 82:[51, 8, 4, 80], Operations: []
Exploring Operation: 51*8=408, Resulting Numbers: [4, 80, 408]
Generated Node #2: [4, 80, 408] from Operation: 51*8=408
Current State: 82:[4, 80, 408], Operations: ['51*8=408']
Exploring Operation: 408-80=328, Resulting Numbers: [4, 328]
Generated Node #3: [4, 328] from Operation: 408-80=328
Current State: 82:[4, 328], Operations: ['51*8=408', '408-80=328']
Exploring Operation: 328/4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
23,
81,
50,
27
] | 24 | [
"50-23=27",
"81/27=3",
"27-3=24"
] | Current State: 24:[23, 81, 50, 27], Operations: []
Exploring Operation: 50-23=27, Resulting Numbers: [81, 27, 27]
Generated Node #2: [81, 27, 27] from Operation: 50-23=27
Current State: 24:[81, 27, 27], Operations: ['50-23=27']
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,24 equal: Goal Reached
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
5,
3,
31,
20
] | 54 | [
"20-3=17",
"5*17=85",
"85-31=54"
] | Current State: 54:[5, 3, 31, 20], Operations: []
Exploring Operation: 20-3=17, Resulting Numbers: [5, 31, 17]
Generated Node #2: [5, 31, 17] from Operation: 20-3=17
Current State: 54:[5, 31, 17], Operations: ['20-3=17']
Exploring Operation: 5*17=85, Resulting Numbers: [31, 85]
Generated Node #3: [31, 85] from Operation: 5*17=85
Current State: 54:[31, 85], Operations: ['20-3=17', '5*17=85']
Exploring Operation: 85-31=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
7,
1,
25,
8
] | 73 | [
"7-1=6",
"8*6=48",
"25+48=73"
] | Current State: 73:[7, 1, 25, 8], Operations: []
Exploring Operation: 7-1=6, Resulting Numbers: [25, 8, 6]
Generated Node #2: [25, 8, 6] from Operation: 7-1=6
Current State: 73:[25, 8, 6], Operations: ['7-1=6']
Exploring Operation: 8*6=48, Resulting Numbers: [25, 48]
Generated Node #3: [25, 48] from Operation: 8*6=48
Current State: 73:[25, 48], Operations: ['7-1=6', '8*6=48']
Exploring Operation: 25+48=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
86,
69,
37,
90
] | 70 | [
"86-69=17",
"90-37=53",
"17+53=70"
] | Current State: 70:[86, 69, 37, 90], Operations: []
Exploring Operation: 86-69=17, Resulting Numbers: [37, 90, 17]
Generated Node #2: [37, 90, 17] from Operation: 86-69=17
Current State: 70:[37, 90, 17], Operations: ['86-69=17']
Exploring Operation: 90-37=53, Resulting Numbers: [17, 53]
Generated Node #3: [17, 53] from Operation: 90-37=53
Current State: 70:[17, 53], Operations: ['86-69=17', '90-37=53']
Exploring Operation: 17+53=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
28,
25,
30,
35
] | 97 | [
"35-30=5",
"25*5=125",
"125-28=97"
] | Current State: 97:[28, 25, 30, 35], Operations: []
Exploring Operation: 35-30=5, Resulting Numbers: [28, 25, 5]
Generated Node #2: [28, 25, 5] from Operation: 35-30=5
Current State: 97:[28, 25, 5], Operations: ['35-30=5']
Exploring Operation: 25*5=125, Resulting Numbers: [28, 125]
Generated Node #3: [28, 125] from Operation: 25*5=125
Current State: 97:[28, 125], Operations: ['35-30=5', '25*5=125']
Exploring Operation: 125-28=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
42,
68,
51,
28
] | 21 | [
"51*28=1428",
"1428/68=21",
"42-21=21"
] | Current State: 21:[42, 68, 51, 28], Operations: []
Exploring Operation: 51*28=1428, Resulting Numbers: [42, 68, 1428]
Generated Node #2: [42, 68, 1428] from Operation: 51*28=1428
Current State: 21:[42, 68, 1428], Operations: ['51*28=1428']
Exploring Operation: 1428/68=21, Resulting Numbers: [42, 21]
Generated Node #3: [42, 21] from Operation: 1428/68=21
Current State: 21:[42, 21], Operations: ['51*28=1428', '1428/68=21']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
7,
36,
49,
85
] | 56 | [
"49/7=7",
"85-36=49",
"7+49=56"
] | Current State: 56:[7, 36, 49, 85], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [36, 85, 7]
Generated Node #2: [36, 85, 7] from Operation: 49/7=7
Current State: 56:[36, 85, 7], Operations: ['49/7=7']
Exploring Operation: 85-36=49, Resulting Numbers: [7, 49]
Generated Node #3: [7, 49] from Operation: 85-36=49
Current State: 56:[7, 49], Operations: ['49/7=7', '85-36=49']
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
45,
11,
95,
22
] | 55 | [
"45*22=990",
"11*95=1045",
"1045-990=55"
] | Current State: 55:[45, 11, 95, 22], Operations: []
Exploring Operation: 45*22=990, Resulting Numbers: [11, 95, 990]
Generated Node #2: [11, 95, 990] from Operation: 45*22=990
Current State: 55:[11, 95, 990], Operations: ['45*22=990']
Exploring Operation: 11*95=1045, Resulting Numbers: [990, 1045]
Generated Node #3: [990, 1045] from Operation: 11*95=1045
Current State: 55:[990, 1045], Operations: ['45*22=990', '11*95=1045']
Exploring Operation: 1045-990=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
33,
27,
91,
63
] | 32 | [
"33+27=60",
"91-63=28",
"60-28=32"
] | Current State: 32:[33, 27, 91, 63], Operations: []
Exploring Operation: 33+27=60, Resulting Numbers: [91, 63, 60]
Generated Node #2: [91, 63, 60] from Operation: 33+27=60
Current State: 32:[91, 63, 60], Operations: ['33+27=60']
Exploring Operation: 91-63=28, Resulting Numbers: [60, 28]
Generated Node #3: [60, 28] from Operation: 91-63=28
Current State: 32:[60, 28], Operations: ['33+27=60', '91-63=28']
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
6,
25,
5,
11
] | 49 | [
"25/5=5",
"11*5=55",
"55-6=49"
] | Current State: 49:[6, 25, 5, 11], Operations: []
Exploring Operation: 25/5=5, Resulting Numbers: [6, 11, 5]
Generated Node #2: [6, 11, 5] from Operation: 25/5=5
Current State: 49:[6, 11, 5], Operations: ['25/5=5']
Exploring Operation: 11*5=55, Resulting Numbers: [6, 55]
Generated Node #3: [6, 55] from Operation: 11*5=55
Current State: 49:[6, 55], Operations: ['25/5=5', '11*5=55']
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
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