nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
28,
52,
58,
39
] | 99 | [
"28+52=80",
"58-39=19",
"80+19=99"
] | Current State: 99:[28, 52, 58, 39], Operations: []
Exploring Operation: 28+52=80, Resulting Numbers: [58, 39, 80]
Generated Node #2: [58, 39, 80] from Operation: 28+52=80
Current State: 99:[58, 39, 80], Operations: ['28+52=80']
Exploring Operation: 58-39=19, Resulting Numbers: [80, 19]
Generated Node #3: [80, 19] from Operation: 58-39=19
Current State: 99:[80, 19], Operations: ['28+52=80', '58-39=19']
Exploring Operation: 80+19=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
5,
25,
37,
19
] | 69 | [
"5*25=125",
"37+19=56",
"125-56=69"
] | Current State: 69:[5, 25, 37, 19], Operations: []
Exploring Operation: 5*25=125, Resulting Numbers: [37, 19, 125]
Generated Node #2: [37, 19, 125] from Operation: 5*25=125
Current State: 69:[37, 19, 125], Operations: ['5*25=125']
Exploring Operation: 37+19=56, Resulting Numbers: [125, 56]
Generated Node #3: [125, 56] from Operation: 37+19=56
Current State: 69:[125, 56], Operations: ['5*25=125', '37+19=56']
Exploring Operation: 125-56=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
32,
70,
44,
64
] | 52 | [
"64/32=2",
"70-44=26",
"2*26=52"
] | Current State: 52:[32, 70, 44, 64], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [70, 44, 2]
Generated Node #2: [70, 44, 2] from Operation: 64/32=2
Current State: 52:[70, 44, 2], Operations: ['64/32=2']
Exploring Operation: 70-44=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 70-44=26
Current State: 52:[2, 26], Operations: ['64/32=2', '70-44=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
47,
82,
12,
93
] | 91 | [
"82+12=94",
"94/47=2",
"93-2=91"
] | Current State: 91:[47, 82, 12, 93], Operations: []
Exploring Operation: 82+12=94, Resulting Numbers: [47, 93, 94]
Generated Node #2: [47, 93, 94] from Operation: 82+12=94
Current State: 91:[47, 93, 94], Operations: ['82+12=94']
Exploring Operation: 94/47=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 94/47=2
Current State: 91:[93, 2], Operations: ['82+12=94', '94/47=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
24,
62,
38,
17
] | 59 | [
"62-24=38",
"38-17=21",
"38+21=59"
] | Current State: 59:[24, 62, 38, 17], Operations: []
Exploring Operation: 62-24=38, Resulting Numbers: [38, 17, 38]
Generated Node #2: [38, 17, 38] from Operation: 62-24=38
Current State: 59:[38, 17, 38], Operations: ['62-24=38']
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,59 equal: Goal Reached
Exploring Operation: 38+21=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
22,
80,
17,
90
] | 62 | [
"22-17=5",
"90/5=18",
"80-18=62"
] | Current State: 62:[22, 80, 17, 90], Operations: []
Exploring Operation: 22-17=5, Resulting Numbers: [80, 90, 5]
Generated Node #2: [80, 90, 5] from Operation: 22-17=5
Current State: 62:[80, 90, 5], Operations: ['22-17=5']
Exploring Operation: 90/5=18, Resulting Numbers: [80, 18]
Generated Node #3: [80, 18] from Operation: 90/5=18
Current State: 62:[80, 18], Operations: ['22-17=5', '90/5=18']
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
62,
49,
7,
14
] | 71 | [
"49+14=63",
"63/7=9",
"62+9=71"
] | Current State: 71:[62, 49, 7, 14], Operations: []
Exploring Operation: 49+14=63, Resulting Numbers: [62, 7, 63]
Generated Node #2: [62, 7, 63] from Operation: 49+14=63
Current State: 71:[62, 7, 63], Operations: ['49+14=63']
Exploring Operation: 63/7=9, Resulting Numbers: [62, 9]
Generated Node #3: [62, 9] from Operation: 63/7=9
Current State: 71:[62, 9], Operations: ['49+14=63', '63/7=9']
Exploring Operation: 62+9=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
75,
40,
80,
11
] | 66 | [
"75-11=64",
"80/40=2",
"64+2=66"
] | Current State: 66:[75, 40, 80, 11], Operations: []
Exploring Operation: 75-11=64, Resulting Numbers: [40, 80, 64]
Generated Node #2: [40, 80, 64] from Operation: 75-11=64
Current State: 66:[40, 80, 64], Operations: ['75-11=64']
Exploring Operation: 80/40=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 80/40=2
Current State: 66:[64, 2], Operations: ['75-11=64', '80/40=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
46,
54,
9,
76
] | 77 | [
"54-46=8",
"9+76=85",
"85-8=77"
] | Current State: 77:[46, 54, 9, 76], Operations: []
Exploring Operation: 54-46=8, Resulting Numbers: [9, 76, 8]
Generated Node #2: [9, 76, 8] from Operation: 54-46=8
Current State: 77:[9, 76, 8], Operations: ['54-46=8']
Exploring Operation: 9+76=85, Resulting Numbers: [8, 85]
Generated Node #3: [8, 85] from Operation: 9+76=85
Current State: 77:[8, 85], Operations: ['54-46=8', '9+76=85']
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
88,
46,
96,
25
] | 79 | [
"88-46=42",
"96+25=121",
"121-42=79"
] | Current State: 79:[88, 46, 96, 25], Operations: []
Exploring Operation: 88-46=42, Resulting Numbers: [96, 25, 42]
Generated Node #2: [96, 25, 42] from Operation: 88-46=42
Current State: 79:[96, 25, 42], Operations: ['88-46=42']
Exploring Operation: 96+25=121, Resulting Numbers: [42, 121]
Generated Node #3: [42, 121] from Operation: 96+25=121
Current State: 79:[42, 121], Operations: ['88-46=42', '96+25=121']
Exploring Operation: 121-42=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
5,
84,
7,
29
] | 85 | [
"84/7=12",
"29-12=17",
"5*17=85"
] | Current State: 85:[5, 84, 7, 29], Operations: []
Exploring Operation: 84/7=12, Resulting Numbers: [5, 29, 12]
Generated Node #2: [5, 29, 12] from Operation: 84/7=12
Current State: 85:[5, 29, 12], Operations: ['84/7=12']
Exploring Operation: 29-12=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 29-12=17
Current State: 85:[5, 17], Operations: ['84/7=12', '29-12=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
93,
1,
67,
2
] | 25 | [
"93+1=94",
"67+2=69",
"94-69=25"
] | Current State: 25:[93, 1, 67, 2], Operations: []
Exploring Operation: 93+1=94, Resulting Numbers: [67, 2, 94]
Generated Node #2: [67, 2, 94] from Operation: 93+1=94
Current State: 25:[67, 2, 94], Operations: ['93+1=94']
Exploring Operation: 67+2=69, Resulting Numbers: [94, 69]
Generated Node #3: [94, 69] from Operation: 67+2=69
Current State: 25:[94, 69], Operations: ['93+1=94', '67+2=69']
Exploring Operation: 94-69=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
39,
13,
24,
12
] | 36 | [
"39/13=3",
"24-12=12",
"3*12=36"
] | Current State: 36:[39, 13, 24, 12], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [24, 12, 3]
Generated Node #2: [24, 12, 3] from Operation: 39/13=3
Current State: 36:[24, 12, 3], Operations: ['39/13=3']
Exploring Operation: 24-12=12, Resulting Numbers: [3, 12]
Generated Node #3: [3, 12] from Operation: 24-12=12
Current State: 36:[3, 12], Operations: ['39/13=3', '24-12=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
37,
35,
91,
31
] | 30 | [
"37-35=2",
"91-31=60",
"60/2=30"
] | Current State: 30:[37, 35, 91, 31], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [91, 31, 2]
Generated Node #2: [91, 31, 2] from Operation: 37-35=2
Current State: 30:[91, 31, 2], Operations: ['37-35=2']
Exploring Operation: 91-31=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 91-31=60
Current State: 30:[2, 60], Operations: ['37-35=2', '91-31=60']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
3,
50,
29,
23
] | 16 | [
"50-29=21",
"21/3=7",
"23-7=16"
] | Current State: 16:[3, 50, 29, 23], Operations: []
Exploring Operation: 50-29=21, Resulting Numbers: [3, 23, 21]
Generated Node #2: [3, 23, 21] from Operation: 50-29=21
Current State: 16:[3, 23, 21], Operations: ['50-29=21']
Exploring Operation: 21/3=7, Resulting Numbers: [23, 7]
Generated Node #3: [23, 7] from Operation: 21/3=7
Current State: 16:[23, 7], Operations: ['50-29=21', '21/3=7']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
93,
77,
11,
83
] | 78 | [
"93-77=16",
"11+83=94",
"94-16=78"
] | Current State: 78:[93, 77, 11, 83], Operations: []
Exploring Operation: 93-77=16, Resulting Numbers: [11, 83, 16]
Generated Node #2: [11, 83, 16] from Operation: 93-77=16
Current State: 78:[11, 83, 16], Operations: ['93-77=16']
Exploring Operation: 11+83=94, Resulting Numbers: [16, 94]
Generated Node #3: [16, 94] from Operation: 11+83=94
Current State: 78:[16, 94], Operations: ['93-77=16', '11+83=94']
Exploring Operation: 94-16=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
28,
12,
89,
9
] | 58 | [
"28+12=40",
"89+9=98",
"98-40=58"
] | Current State: 58:[28, 12, 89, 9], Operations: []
Exploring Operation: 28+12=40, Resulting Numbers: [89, 9, 40]
Generated Node #2: [89, 9, 40] from Operation: 28+12=40
Current State: 58:[89, 9, 40], Operations: ['28+12=40']
Exploring Operation: 89+9=98, Resulting Numbers: [40, 98]
Generated Node #3: [40, 98] from Operation: 89+9=98
Current State: 58:[40, 98], Operations: ['28+12=40', '89+9=98']
Exploring Operation: 98-40=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
20,
50,
31,
10
] | 55 | [
"31-20=11",
"50/10=5",
"11*5=55"
] | Current State: 55:[20, 50, 31, 10], Operations: []
Exploring Operation: 31-20=11, Resulting Numbers: [50, 10, 11]
Generated Node #2: [50, 10, 11] from Operation: 31-20=11
Current State: 55:[50, 10, 11], Operations: ['31-20=11']
Exploring Operation: 50/10=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 50/10=5
Current State: 55:[11, 5], Operations: ['31-20=11', '50/10=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
11,
2,
40,
22
] | 62 | [
"11+40=51",
"22/2=11",
"51+11=62"
] | Current State: 62:[11, 2, 40, 22], Operations: []
Exploring Operation: 11+40=51, Resulting Numbers: [2, 22, 51]
Generated Node #2: [2, 22, 51] from Operation: 11+40=51
Current State: 62:[2, 22, 51], Operations: ['11+40=51']
Exploring Operation: 22/2=11, Resulting Numbers: [51, 11]
Generated Node #3: [51, 11] from Operation: 22/2=11
Current State: 62:[51, 11], Operations: ['11+40=51', '22/2=11']
Exploring Operation: 51+11=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
38,
9,
4,
3
] | 36 | [
"38-9=29",
"4+3=7",
"29+7=36"
] | Current State: 36:[38, 9, 4, 3], Operations: []
Exploring Operation: 38-9=29, Resulting Numbers: [4, 3, 29]
Generated Node #2: [4, 3, 29] from Operation: 38-9=29
Current State: 36:[4, 3, 29], Operations: ['38-9=29']
Exploring Operation: 4+3=7, Resulting Numbers: [29, 7]
Generated Node #3: [29, 7] from Operation: 4+3=7
Current State: 36:[29, 7], Operations: ['38-9=29', '4+3=7']
Exploring Operation: 29+7=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
35,
13,
41,
2
] | 30 | [
"35-13=22",
"22/2=11",
"41-11=30"
] | Current State: 30:[35, 13, 41, 2], Operations: []
Exploring Operation: 35-13=22, Resulting Numbers: [41, 2, 22]
Generated Node #2: [41, 2, 22] from Operation: 35-13=22
Current State: 30:[41, 2, 22], Operations: ['35-13=22']
Exploring Operation: 22/2=11, Resulting Numbers: [41, 11]
Generated Node #3: [41, 11] from Operation: 22/2=11
Current State: 30:[41, 11], Operations: ['35-13=22', '22/2=11']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
20,
70,
17,
9
] | 67 | [
"20-17=3",
"9/3=3",
"70-3=67"
] | Current State: 67:[20, 70, 17, 9], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [70, 9, 3]
Generated Node #2: [70, 9, 3] from Operation: 20-17=3
Current State: 67:[70, 9, 3], Operations: ['20-17=3']
Exploring Operation: 9/3=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 9/3=3
Current State: 67:[70, 3], Operations: ['20-17=3', '9/3=3']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
60,
98,
30,
97
] | 91 | [
"60+98=158",
"97-30=67",
"158-67=91"
] | Current State: 91:[60, 98, 30, 97], Operations: []
Exploring Operation: 60+98=158, Resulting Numbers: [30, 97, 158]
Generated Node #2: [30, 97, 158] from Operation: 60+98=158
Current State: 91:[30, 97, 158], Operations: ['60+98=158']
Exploring Operation: 97-30=67, Resulting Numbers: [158, 67]
Generated Node #3: [158, 67] from Operation: 97-30=67
Current State: 91:[158, 67], Operations: ['60+98=158', '97-30=67']
Exploring Operation: 158-67=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
14,
37,
70,
16
] | 48 | [
"70/14=5",
"37+16=53",
"53-5=48"
] | Current State: 48:[14, 37, 70, 16], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [37, 16, 5]
Generated Node #2: [37, 16, 5] from Operation: 70/14=5
Current State: 48:[37, 16, 5], Operations: ['70/14=5']
Exploring Operation: 37+16=53, Resulting Numbers: [5, 53]
Generated Node #3: [5, 53] from Operation: 37+16=53
Current State: 48:[5, 53], Operations: ['70/14=5', '37+16=53']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
32,
86,
41,
6
] | 83 | [
"32+86=118",
"41-6=35",
"118-35=83"
] | Current State: 83:[32, 86, 41, 6], Operations: []
Exploring Operation: 32+86=118, Resulting Numbers: [41, 6, 118]
Generated Node #2: [41, 6, 118] from Operation: 32+86=118
Current State: 83:[41, 6, 118], Operations: ['32+86=118']
Exploring Operation: 41-6=35, Resulting Numbers: [118, 35]
Generated Node #3: [118, 35] from Operation: 41-6=35
Current State: 83:[118, 35], Operations: ['32+86=118', '41-6=35']
Exploring Operation: 118-35=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
40,
30,
16,
10
] | 53 | [
"40+16=56",
"30/10=3",
"56-3=53"
] | Current State: 53:[40, 30, 16, 10], Operations: []
Exploring Operation: 40+16=56, Resulting Numbers: [30, 10, 56]
Generated Node #2: [30, 10, 56] from Operation: 40+16=56
Current State: 53:[30, 10, 56], Operations: ['40+16=56']
Exploring Operation: 30/10=3, Resulting Numbers: [56, 3]
Generated Node #3: [56, 3] from Operation: 30/10=3
Current State: 53:[56, 3], Operations: ['40+16=56', '30/10=3']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
14,
3,
18,
70
] | 69 | [
"14+3=17",
"70-18=52",
"17+52=69"
] | Current State: 69:[14, 3, 18, 70], Operations: []
Exploring Operation: 14+3=17, Resulting Numbers: [18, 70, 17]
Generated Node #2: [18, 70, 17] from Operation: 14+3=17
Current State: 69:[18, 70, 17], Operations: ['14+3=17']
Exploring Operation: 70-18=52, Resulting Numbers: [17, 52]
Generated Node #3: [17, 52] from Operation: 70-18=52
Current State: 69:[17, 52], Operations: ['14+3=17', '70-18=52']
Exploring Operation: 17+52=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
73,
8,
30,
99
] | 68 | [
"73+99=172",
"8*30=240",
"240-172=68"
] | Current State: 68:[73, 8, 30, 99], Operations: []
Exploring Operation: 73+99=172, Resulting Numbers: [8, 30, 172]
Generated Node #2: [8, 30, 172] from Operation: 73+99=172
Current State: 68:[8, 30, 172], Operations: ['73+99=172']
Exploring Operation: 8*30=240, Resulting Numbers: [172, 240]
Generated Node #3: [172, 240] from Operation: 8*30=240
Current State: 68:[172, 240], Operations: ['73+99=172', '8*30=240']
Exploring Operation: 240-172=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
14,
44,
42,
13
] | 41 | [
"44-42=2",
"14*2=28",
"13+28=41"
] | Current State: 41:[14, 44, 42, 13], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [14, 13, 2]
Generated Node #2: [14, 13, 2] from Operation: 44-42=2
Current State: 41:[14, 13, 2], Operations: ['44-42=2']
Exploring Operation: 14*2=28, Resulting Numbers: [13, 28]
Generated Node #3: [13, 28] from Operation: 14*2=28
Current State: 41:[13, 28], Operations: ['44-42=2', '14*2=28']
Exploring Operation: 13+28=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
48,
86,
31,
78
] | 32 | [
"48*78=3744",
"86+31=117",
"3744/117=32"
] | Current State: 32:[48, 86, 31, 78], Operations: []
Exploring Operation: 48*78=3744, Resulting Numbers: [86, 31, 3744]
Generated Node #2: [86, 31, 3744] from Operation: 48*78=3744
Current State: 32:[86, 31, 3744], Operations: ['48*78=3744']
Exploring Operation: 86+31=117, Resulting Numbers: [3744, 117]
Generated Node #3: [3744, 117] from Operation: 86+31=117
Current State: 32:[3744, 117], Operations: ['48*78=3744', '86+31=117']
Exploring Operation: 3744/117=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
81,
42,
45,
97
] | 48 | [
"97-81=16",
"45-42=3",
"16*3=48"
] | Current State: 48:[81, 42, 45, 97], Operations: []
Exploring Operation: 97-81=16, Resulting Numbers: [42, 45, 16]
Generated Node #2: [42, 45, 16] from Operation: 97-81=16
Current State: 48:[42, 45, 16], Operations: ['97-81=16']
Exploring Operation: 45-42=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 45-42=3
Current State: 48:[16, 3], Operations: ['97-81=16', '45-42=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
36,
46,
62,
93
] | 100 | [
"36*93=3348",
"3348/62=54",
"46+54=100"
] | Current State: 100:[36, 46, 62, 93], Operations: []
Exploring Operation: 36*93=3348, Resulting Numbers: [46, 62, 3348]
Generated Node #2: [46, 62, 3348] from Operation: 36*93=3348
Current State: 100:[46, 62, 3348], Operations: ['36*93=3348']
Exploring Operation: 3348/62=54, Resulting Numbers: [46, 54]
Generated Node #3: [46, 54] from Operation: 3348/62=54
Current State: 100:[46, 54], Operations: ['36*93=3348', '3348/62=54']
Exploring Operation: 46+54=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
23,
34,
5,
69
] | 16 | [
"34-23=11",
"69+11=80",
"80/5=16"
] | Current State: 16:[23, 34, 5, 69], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [5, 69, 11]
Generated Node #2: [5, 69, 11] from Operation: 34-23=11
Current State: 16:[5, 69, 11], Operations: ['34-23=11']
Exploring Operation: 69+11=80, Resulting Numbers: [5, 80]
Generated Node #3: [5, 80] from Operation: 69+11=80
Current State: 16:[5, 80], Operations: ['34-23=11', '69+11=80']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
51,
89,
92,
10
] | 91 | [
"92+10=102",
"102/51=2",
"89+2=91"
] | Current State: 91:[51, 89, 92, 10], Operations: []
Exploring Operation: 92+10=102, Resulting Numbers: [51, 89, 102]
Generated Node #2: [51, 89, 102] from Operation: 92+10=102
Current State: 91:[51, 89, 102], Operations: ['92+10=102']
Exploring Operation: 102/51=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 102/51=2
Current State: 91:[89, 2], Operations: ['92+10=102', '102/51=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
41,
36,
25,
98
] | 78 | [
"41-36=5",
"98-25=73",
"5+73=78"
] | Current State: 78:[41, 36, 25, 98], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [25, 98, 5]
Generated Node #2: [25, 98, 5] from Operation: 41-36=5
Current State: 78:[25, 98, 5], Operations: ['41-36=5']
Exploring Operation: 98-25=73, Resulting Numbers: [5, 73]
Generated Node #3: [5, 73] from Operation: 98-25=73
Current State: 78:[5, 73], Operations: ['41-36=5', '98-25=73']
Exploring Operation: 5+73=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
19,
31,
32,
28
] | 44 | [
"31*28=868",
"868-32=836",
"836/19=44"
] | Current State: 44:[19, 31, 32, 28], Operations: []
Exploring Operation: 31*28=868, Resulting Numbers: [19, 32, 868]
Generated Node #2: [19, 32, 868] from Operation: 31*28=868
Current State: 44:[19, 32, 868], Operations: ['31*28=868']
Exploring Operation: 868-32=836, Resulting Numbers: [19, 836]
Generated Node #3: [19, 836] from Operation: 868-32=836
Current State: 44:[19, 836], Operations: ['31*28=868', '868-32=836']
Exploring Operation: 836/19=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
82,
62,
73,
3
] | 96 | [
"82-62=20",
"73+3=76",
"20+76=96"
] | Current State: 96:[82, 62, 73, 3], Operations: []
Exploring Operation: 82-62=20, Resulting Numbers: [73, 3, 20]
Generated Node #2: [73, 3, 20] from Operation: 82-62=20
Current State: 96:[73, 3, 20], Operations: ['82-62=20']
Exploring Operation: 73+3=76, Resulting Numbers: [20, 76]
Generated Node #3: [20, 76] from Operation: 73+3=76
Current State: 96:[20, 76], Operations: ['82-62=20', '73+3=76']
Exploring Operation: 20+76=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
75,
72,
1,
38
] | 13 | [
"75-72=3",
"1+38=39",
"39/3=13"
] | Current State: 13:[75, 72, 1, 38], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [1, 38, 3]
Generated Node #2: [1, 38, 3] from Operation: 75-72=3
Current State: 13:[1, 38, 3], Operations: ['75-72=3']
Exploring Operation: 1+38=39, Resulting Numbers: [3, 39]
Generated Node #3: [3, 39] from Operation: 1+38=39
Current State: 13:[3, 39], Operations: ['75-72=3', '1+38=39']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
43,
67,
99,
52
] | 78 | [
"52-43=9",
"99/9=11",
"67+11=78"
] | Current State: 78:[43, 67, 99, 52], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [67, 99, 9]
Generated Node #2: [67, 99, 9] from Operation: 52-43=9
Current State: 78:[67, 99, 9], Operations: ['52-43=9']
Exploring Operation: 99/9=11, Resulting Numbers: [67, 11]
Generated Node #3: [67, 11] from Operation: 99/9=11
Current State: 78:[67, 11], Operations: ['52-43=9', '99/9=11']
Exploring Operation: 67+11=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
61,
39,
22,
74
] | 74 | [
"61-39=22",
"22+74=96",
"96-22=74"
] | Current State: 74:[61, 39, 22, 74], Operations: []
Exploring Operation: 61-39=22, Resulting Numbers: [22, 74, 22]
Generated Node #2: [22, 74, 22] from Operation: 61-39=22
Current State: 74:[22, 74, 22], Operations: ['61-39=22']
Exploring Operation: 22+74=96, Resulting Numbers: [96]
96,74 equal: Goal Reached
Exploring Operation: 96-22=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
67,
20,
52,
89
] | 10 | [
"67-20=47",
"89-52=37",
"47-37=10"
] | Current State: 10:[67, 20, 52, 89], Operations: []
Exploring Operation: 67-20=47, Resulting Numbers: [52, 89, 47]
Generated Node #2: [52, 89, 47] from Operation: 67-20=47
Current State: 10:[52, 89, 47], Operations: ['67-20=47']
Exploring Operation: 89-52=37, Resulting Numbers: [47, 37]
Generated Node #3: [47, 37] from Operation: 89-52=37
Current State: 10:[47, 37], Operations: ['67-20=47', '89-52=37']
Exploring Operation: 47-37=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
68,
73,
68,
5
] | 43 | [
"73-68=5",
"5*5=25",
"68-25=43"
] | Current State: 43:[68, 73, 68, 5], Operations: []
Exploring Operation: 73-68=5, Resulting Numbers: [5, 5]
Generated Node #2: [5, 5] from Operation: 73-68=5
Current State: 43:[5, 5], Operations: ['73-68=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,43 equal: Goal Reached
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
11,
3,
17,
17
] | 23 | [
"11+17=28",
"3*17=51",
"51-28=23"
] | Current State: 23:[11, 3, 17, 17], Operations: []
Exploring Operation: 11+17=28, Resulting Numbers: [3, 28]
Generated Node #2: [3, 28] from Operation: 11+17=28
Current State: 23:[3, 28], Operations: ['11+17=28']
Exploring Operation: 3*17=51, Resulting Numbers: [28, 51]
Generated Node #3: [28, 51] from Operation: 3*17=51
Current State: 23:[28, 51], Operations: ['11+17=28', '3*17=51']
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
14,
34,
57,
44
] | 81 | [
"34-14=20",
"57+44=101",
"101-20=81"
] | Current State: 81:[14, 34, 57, 44], Operations: []
Exploring Operation: 34-14=20, Resulting Numbers: [57, 44, 20]
Generated Node #2: [57, 44, 20] from Operation: 34-14=20
Current State: 81:[57, 44, 20], Operations: ['34-14=20']
Exploring Operation: 57+44=101, Resulting Numbers: [20, 101]
Generated Node #3: [20, 101] from Operation: 57+44=101
Current State: 81:[20, 101], Operations: ['34-14=20', '57+44=101']
Exploring Operation: 101-20=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
33,
32,
78,
39
] | 45 | [
"39-33=6",
"78/6=13",
"32+13=45"
] | Current State: 45:[33, 32, 78, 39], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [32, 78, 6]
Generated Node #2: [32, 78, 6] from Operation: 39-33=6
Current State: 45:[32, 78, 6], Operations: ['39-33=6']
Exploring Operation: 78/6=13, Resulting Numbers: [32, 13]
Generated Node #3: [32, 13] from Operation: 78/6=13
Current State: 45:[32, 13], Operations: ['39-33=6', '78/6=13']
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
83,
5,
74,
47
] | 78 | [
"83+74=157",
"5*47=235",
"235-157=78"
] | Current State: 78:[83, 5, 74, 47], Operations: []
Exploring Operation: 83+74=157, Resulting Numbers: [5, 47, 157]
Generated Node #2: [5, 47, 157] from Operation: 83+74=157
Current State: 78:[5, 47, 157], Operations: ['83+74=157']
Exploring Operation: 5*47=235, Resulting Numbers: [157, 235]
Generated Node #3: [157, 235] from Operation: 5*47=235
Current State: 78:[157, 235], Operations: ['83+74=157', '5*47=235']
Exploring Operation: 235-157=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
74,
79,
91,
14
] | 82 | [
"79-74=5",
"91-14=77",
"5+77=82"
] | Current State: 82:[74, 79, 91, 14], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [91, 14, 5]
Generated Node #2: [91, 14, 5] from Operation: 79-74=5
Current State: 82:[91, 14, 5], Operations: ['79-74=5']
Exploring Operation: 91-14=77, Resulting Numbers: [5, 77]
Generated Node #3: [5, 77] from Operation: 91-14=77
Current State: 82:[5, 77], Operations: ['79-74=5', '91-14=77']
Exploring Operation: 5+77=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
32,
81,
83,
48
] | 18 | [
"32+81=113",
"83+48=131",
"131-113=18"
] | Current State: 18:[32, 81, 83, 48], Operations: []
Exploring Operation: 32+81=113, Resulting Numbers: [83, 48, 113]
Generated Node #2: [83, 48, 113] from Operation: 32+81=113
Current State: 18:[83, 48, 113], Operations: ['32+81=113']
Exploring Operation: 83+48=131, Resulting Numbers: [113, 131]
Generated Node #3: [113, 131] from Operation: 83+48=131
Current State: 18:[113, 131], Operations: ['32+81=113', '83+48=131']
Exploring Operation: 131-113=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
78,
12,
72,
62
] | 64 | [
"78-72=6",
"12/6=2",
"62+2=64"
] | Current State: 64:[78, 12, 72, 62], Operations: []
Exploring Operation: 78-72=6, Resulting Numbers: [12, 62, 6]
Generated Node #2: [12, 62, 6] from Operation: 78-72=6
Current State: 64:[12, 62, 6], Operations: ['78-72=6']
Exploring Operation: 12/6=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 12/6=2
Current State: 64:[62, 2], Operations: ['78-72=6', '12/6=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
7,
22,
19,
58
] | 24 | [
"22-7=15",
"58-19=39",
"39-15=24"
] | Current State: 24:[7, 22, 19, 58], Operations: []
Exploring Operation: 22-7=15, Resulting Numbers: [19, 58, 15]
Generated Node #2: [19, 58, 15] from Operation: 22-7=15
Current State: 24:[19, 58, 15], Operations: ['22-7=15']
Exploring Operation: 58-19=39, Resulting Numbers: [15, 39]
Generated Node #3: [15, 39] from Operation: 58-19=39
Current State: 24:[15, 39], Operations: ['22-7=15', '58-19=39']
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
78,
73,
66,
11
] | 11 | [
"78-73=5",
"66-11=55",
"55/5=11"
] | Current State: 11:[78, 73, 66, 11], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [66, 11, 5]
Generated Node #2: [66, 11, 5] from Operation: 78-73=5
Current State: 11:[66, 11, 5], Operations: ['78-73=5']
Exploring Operation: 66-11=55, Resulting Numbers: [5, 55]
Generated Node #3: [5, 55] from Operation: 66-11=55
Current State: 11:[5, 55], Operations: ['78-73=5', '66-11=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
19,
84,
81,
36
] | 51 | [
"36-19=17",
"84-81=3",
"17*3=51"
] | Current State: 51:[19, 84, 81, 36], Operations: []
Exploring Operation: 36-19=17, Resulting Numbers: [84, 81, 17]
Generated Node #2: [84, 81, 17] from Operation: 36-19=17
Current State: 51:[84, 81, 17], Operations: ['36-19=17']
Exploring Operation: 84-81=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 84-81=3
Current State: 51:[17, 3], Operations: ['36-19=17', '84-81=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
80,
67,
3,
16
] | 65 | [
"80+67=147",
"147/3=49",
"16+49=65"
] | Current State: 65:[80, 67, 3, 16], Operations: []
Exploring Operation: 80+67=147, Resulting Numbers: [3, 16, 147]
Generated Node #2: [3, 16, 147] from Operation: 80+67=147
Current State: 65:[3, 16, 147], Operations: ['80+67=147']
Exploring Operation: 147/3=49, Resulting Numbers: [16, 49]
Generated Node #3: [16, 49] from Operation: 147/3=49
Current State: 65:[16, 49], Operations: ['80+67=147', '147/3=49']
Exploring Operation: 16+49=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
24,
95,
66,
84
] | 93 | [
"66-24=42",
"84/42=2",
"95-2=93"
] | Current State: 93:[24, 95, 66, 84], Operations: []
Exploring Operation: 66-24=42, Resulting Numbers: [95, 84, 42]
Generated Node #2: [95, 84, 42] from Operation: 66-24=42
Current State: 93:[95, 84, 42], Operations: ['66-24=42']
Exploring Operation: 84/42=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 84/42=2
Current State: 93:[95, 2], Operations: ['66-24=42', '84/42=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
25,
15,
66,
77
] | 29 | [
"25+15=40",
"77-66=11",
"40-11=29"
] | Current State: 29:[25, 15, 66, 77], Operations: []
Exploring Operation: 25+15=40, Resulting Numbers: [66, 77, 40]
Generated Node #2: [66, 77, 40] from Operation: 25+15=40
Current State: 29:[66, 77, 40], Operations: ['25+15=40']
Exploring Operation: 77-66=11, Resulting Numbers: [40, 11]
Generated Node #3: [40, 11] from Operation: 77-66=11
Current State: 29:[40, 11], Operations: ['25+15=40', '77-66=11']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
43,
13,
28,
11
] | 52 | [
"43-28=15",
"15-11=4",
"13*4=52"
] | Current State: 52:[43, 13, 28, 11], Operations: []
Exploring Operation: 43-28=15, Resulting Numbers: [13, 11, 15]
Generated Node #2: [13, 11, 15] from Operation: 43-28=15
Current State: 52:[13, 11, 15], Operations: ['43-28=15']
Exploring Operation: 15-11=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 15-11=4
Current State: 52:[13, 4], Operations: ['43-28=15', '15-11=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
80,
30,
1,
1
] | 100 | [
"80-30=50",
"1+1=2",
"50*2=100"
] | Current State: 100:[80, 30, 1, 1], Operations: []
Exploring Operation: 80-30=50, Resulting Numbers: [1, 1, 50]
Generated Node #2: [1, 1, 50] from Operation: 80-30=50
Current State: 100:[1, 1, 50], Operations: ['80-30=50']
Exploring Operation: 1+1=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 1+1=2
Current State: 100:[50, 2], Operations: ['80-30=50', '1+1=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
65,
2,
40,
98
] | 48 | [
"65-40=25",
"2*25=50",
"98-50=48"
] | Current State: 48:[65, 2, 40, 98], Operations: []
Exploring Operation: 65-40=25, Resulting Numbers: [2, 98, 25]
Generated Node #2: [2, 98, 25] from Operation: 65-40=25
Current State: 48:[2, 98, 25], Operations: ['65-40=25']
Exploring Operation: 2*25=50, Resulting Numbers: [98, 50]
Generated Node #3: [98, 50] from Operation: 2*25=50
Current State: 48:[98, 50], Operations: ['65-40=25', '2*25=50']
Exploring Operation: 98-50=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
44,
3,
3,
1
] | 43 | [
"44+3=47",
"3+1=4",
"47-4=43"
] | Current State: 43:[44, 3, 3, 1], Operations: []
Exploring Operation: 44+3=47, Resulting Numbers: [1, 47]
Generated Node #2: [1, 47] from Operation: 44+3=47
Current State: 43:[1, 47], Operations: ['44+3=47']
Exploring Operation: 3+1=4, Resulting Numbers: [47, 4]
Generated Node #3: [47, 4] from Operation: 3+1=4
Current State: 43:[47, 4], Operations: ['44+3=47', '3+1=4']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
9,
42,
3,
16
] | 90 | [
"9/3=3",
"16*3=48",
"42+48=90"
] | Current State: 90:[9, 42, 3, 16], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [42, 16, 3]
Generated Node #2: [42, 16, 3] from Operation: 9/3=3
Current State: 90:[42, 16, 3], Operations: ['9/3=3']
Exploring Operation: 16*3=48, Resulting Numbers: [42, 48]
Generated Node #3: [42, 48] from Operation: 16*3=48
Current State: 90:[42, 48], Operations: ['9/3=3', '16*3=48']
Exploring Operation: 42+48=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
47,
29,
36,
36
] | 19 | [
"47-29=18",
"36/36=1",
"18+1=19"
] | Current State: 19:[47, 29, 36, 36], Operations: []
Exploring Operation: 47-29=18, Resulting Numbers: [36, 36, 18]
Generated Node #2: [36, 36, 18] from Operation: 47-29=18
Current State: 19:[36, 36, 18], Operations: ['47-29=18']
Exploring Operation: 36/36=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 36/36=1
Current State: 19:[18, 1], Operations: ['47-29=18', '36/36=1']
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
14,
2,
89,
4
] | 86 | [
"14-2=12",
"12/4=3",
"89-3=86"
] | Current State: 86:[14, 2, 89, 4], Operations: []
Exploring Operation: 14-2=12, Resulting Numbers: [89, 4, 12]
Generated Node #2: [89, 4, 12] from Operation: 14-2=12
Current State: 86:[89, 4, 12], Operations: ['14-2=12']
Exploring Operation: 12/4=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 12/4=3
Current State: 86:[89, 3], Operations: ['14-2=12', '12/4=3']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
49,
72,
15,
28
] | 20 | [
"72-49=23",
"15+28=43",
"43-23=20"
] | Current State: 20:[49, 72, 15, 28], Operations: []
Exploring Operation: 72-49=23, Resulting Numbers: [15, 28, 23]
Generated Node #2: [15, 28, 23] from Operation: 72-49=23
Current State: 20:[15, 28, 23], Operations: ['72-49=23']
Exploring Operation: 15+28=43, Resulting Numbers: [23, 43]
Generated Node #3: [23, 43] from Operation: 15+28=43
Current State: 20:[23, 43], Operations: ['72-49=23', '15+28=43']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
81,
55,
29,
52
] | 54 | [
"81+29=110",
"110/55=2",
"52+2=54"
] | Current State: 54:[81, 55, 29, 52], Operations: []
Exploring Operation: 81+29=110, Resulting Numbers: [55, 52, 110]
Generated Node #2: [55, 52, 110] from Operation: 81+29=110
Current State: 54:[55, 52, 110], Operations: ['81+29=110']
Exploring Operation: 110/55=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 110/55=2
Current State: 54:[52, 2], Operations: ['81+29=110', '110/55=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
36,
94,
4,
37
] | 99 | [
"94-36=58",
"4+37=41",
"58+41=99"
] | Current State: 99:[36, 94, 4, 37], Operations: []
Exploring Operation: 94-36=58, Resulting Numbers: [4, 37, 58]
Generated Node #2: [4, 37, 58] from Operation: 94-36=58
Current State: 99:[4, 37, 58], Operations: ['94-36=58']
Exploring Operation: 4+37=41, Resulting Numbers: [58, 41]
Generated Node #3: [58, 41] from Operation: 4+37=41
Current State: 99:[58, 41], Operations: ['94-36=58', '4+37=41']
Exploring Operation: 58+41=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
4,
48,
92,
8
] | 59 | [
"92-4=88",
"88/8=11",
"48+11=59"
] | Current State: 59:[4, 48, 92, 8], Operations: []
Exploring Operation: 92-4=88, Resulting Numbers: [48, 8, 88]
Generated Node #2: [48, 8, 88] from Operation: 92-4=88
Current State: 59:[48, 8, 88], Operations: ['92-4=88']
Exploring Operation: 88/8=11, Resulting Numbers: [48, 11]
Generated Node #3: [48, 11] from Operation: 88/8=11
Current State: 59:[48, 11], Operations: ['92-4=88', '88/8=11']
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
77,
88,
22,
24
] | 66 | [
"24-22=2",
"77*2=154",
"154-88=66"
] | Current State: 66:[77, 88, 22, 24], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [77, 88, 2]
Generated Node #2: [77, 88, 2] from Operation: 24-22=2
Current State: 66:[77, 88, 2], Operations: ['24-22=2']
Exploring Operation: 77*2=154, Resulting Numbers: [88, 154]
Generated Node #3: [88, 154] from Operation: 77*2=154
Current State: 66:[88, 154], Operations: ['24-22=2', '77*2=154']
Exploring Operation: 154-88=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
16,
18,
28,
56
] | 84 | [
"18-16=2",
"56*2=112",
"112-28=84"
] | Current State: 84:[16, 18, 28, 56], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [28, 56, 2]
Generated Node #2: [28, 56, 2] from Operation: 18-16=2
Current State: 84:[28, 56, 2], Operations: ['18-16=2']
Exploring Operation: 56*2=112, Resulting Numbers: [28, 112]
Generated Node #3: [28, 112] from Operation: 56*2=112
Current State: 84:[28, 112], Operations: ['18-16=2', '56*2=112']
Exploring Operation: 112-28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
87,
26,
74,
32
] | 19 | [
"87-26=61",
"74-32=42",
"61-42=19"
] | Current State: 19:[87, 26, 74, 32], Operations: []
Exploring Operation: 87-26=61, Resulting Numbers: [74, 32, 61]
Generated Node #2: [74, 32, 61] from Operation: 87-26=61
Current State: 19:[74, 32, 61], Operations: ['87-26=61']
Exploring Operation: 74-32=42, Resulting Numbers: [61, 42]
Generated Node #3: [61, 42] from Operation: 74-32=42
Current State: 19:[61, 42], Operations: ['87-26=61', '74-32=42']
Exploring Operation: 61-42=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
8,
58,
86,
15
] | 92 | [
"8*15=120",
"86-58=28",
"120-28=92"
] | Current State: 92:[8, 58, 86, 15], Operations: []
Exploring Operation: 8*15=120, Resulting Numbers: [58, 86, 120]
Generated Node #2: [58, 86, 120] from Operation: 8*15=120
Current State: 92:[58, 86, 120], Operations: ['8*15=120']
Exploring Operation: 86-58=28, Resulting Numbers: [120, 28]
Generated Node #3: [120, 28] from Operation: 86-58=28
Current State: 92:[120, 28], Operations: ['8*15=120', '86-58=28']
Exploring Operation: 120-28=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
77,
65,
66,
47
] | 29 | [
"77+65=142",
"66+47=113",
"142-113=29"
] | Current State: 29:[77, 65, 66, 47], Operations: []
Exploring Operation: 77+65=142, Resulting Numbers: [66, 47, 142]
Generated Node #2: [66, 47, 142] from Operation: 77+65=142
Current State: 29:[66, 47, 142], Operations: ['77+65=142']
Exploring Operation: 66+47=113, Resulting Numbers: [142, 113]
Generated Node #3: [142, 113] from Operation: 66+47=113
Current State: 29:[142, 113], Operations: ['77+65=142', '66+47=113']
Exploring Operation: 142-113=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
90,
94,
26,
16
] | 12 | [
"90*16=1440",
"94+26=120",
"1440/120=12"
] | Current State: 12:[90, 94, 26, 16], Operations: []
Exploring Operation: 90*16=1440, Resulting Numbers: [94, 26, 1440]
Generated Node #2: [94, 26, 1440] from Operation: 90*16=1440
Current State: 12:[94, 26, 1440], Operations: ['90*16=1440']
Exploring Operation: 94+26=120, Resulting Numbers: [1440, 120]
Generated Node #3: [1440, 120] from Operation: 94+26=120
Current State: 12:[1440, 120], Operations: ['90*16=1440', '94+26=120']
Exploring Operation: 1440/120=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
84,
42,
55,
57
] | 84 | [
"84-42=42",
"57-55=2",
"42*2=84"
] | Current State: 84:[84, 42, 55, 57], Operations: []
Exploring Operation: 84-42=42, Resulting Numbers: [55, 57, 42]
Generated Node #2: [55, 57, 42] from Operation: 84-42=42
Current State: 84:[55, 57, 42], Operations: ['84-42=42']
Exploring Operation: 57-55=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 57-55=2
Current State: 84:[42, 2], Operations: ['84-42=42', '57-55=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
2,
43,
87,
29
] | 49 | [
"2*87=174",
"174/29=6",
"43+6=49"
] | Current State: 49:[2, 43, 87, 29], Operations: []
Exploring Operation: 2*87=174, Resulting Numbers: [43, 29, 174]
Generated Node #2: [43, 29, 174] from Operation: 2*87=174
Current State: 49:[43, 29, 174], Operations: ['2*87=174']
Exploring Operation: 174/29=6, Resulting Numbers: [43, 6]
Generated Node #3: [43, 6] from Operation: 174/29=6
Current State: 49:[43, 6], Operations: ['2*87=174', '174/29=6']
Exploring Operation: 43+6=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
6,
62,
39,
70
] | 68 | [
"62-39=23",
"6*23=138",
"138-70=68"
] | Current State: 68:[6, 62, 39, 70], Operations: []
Exploring Operation: 62-39=23, Resulting Numbers: [6, 70, 23]
Generated Node #2: [6, 70, 23] from Operation: 62-39=23
Current State: 68:[6, 70, 23], Operations: ['62-39=23']
Exploring Operation: 6*23=138, Resulting Numbers: [70, 138]
Generated Node #3: [70, 138] from Operation: 6*23=138
Current State: 68:[70, 138], Operations: ['62-39=23', '6*23=138']
Exploring Operation: 138-70=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
59,
5,
7,
8
] | 75 | [
"7-5=2",
"8*2=16",
"59+16=75"
] | Current State: 75:[59, 5, 7, 8], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [59, 8, 2]
Generated Node #2: [59, 8, 2] from Operation: 7-5=2
Current State: 75:[59, 8, 2], Operations: ['7-5=2']
Exploring Operation: 8*2=16, Resulting Numbers: [59, 16]
Generated Node #3: [59, 16] from Operation: 8*2=16
Current State: 75:[59, 16], Operations: ['7-5=2', '8*2=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
69,
4,
46,
52
] | 46 | [
"69*4=276",
"52-46=6",
"276/6=46"
] | Current State: 46:[69, 4, 46, 52], Operations: []
Exploring Operation: 69*4=276, Resulting Numbers: [46, 52, 276]
Generated Node #2: [46, 52, 276] from Operation: 69*4=276
Current State: 46:[46, 52, 276], Operations: ['69*4=276']
Exploring Operation: 52-46=6, Resulting Numbers: [276, 6]
Generated Node #3: [276, 6] from Operation: 52-46=6
Current State: 46:[276, 6], Operations: ['69*4=276', '52-46=6']
Exploring Operation: 276/6=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
3,
24,
54,
55
] | 39 | [
"55-24=31",
"3*31=93",
"93-54=39"
] | Current State: 39:[3, 24, 54, 55], Operations: []
Exploring Operation: 55-24=31, Resulting Numbers: [3, 54, 31]
Generated Node #2: [3, 54, 31] from Operation: 55-24=31
Current State: 39:[3, 54, 31], Operations: ['55-24=31']
Exploring Operation: 3*31=93, Resulting Numbers: [54, 93]
Generated Node #3: [54, 93] from Operation: 3*31=93
Current State: 39:[54, 93], Operations: ['55-24=31', '3*31=93']
Exploring Operation: 93-54=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
5,
38,
60,
31
] | 99 | [
"5*38=190",
"60+31=91",
"190-91=99"
] | Current State: 99:[5, 38, 60, 31], Operations: []
Exploring Operation: 5*38=190, Resulting Numbers: [60, 31, 190]
Generated Node #2: [60, 31, 190] from Operation: 5*38=190
Current State: 99:[60, 31, 190], Operations: ['5*38=190']
Exploring Operation: 60+31=91, Resulting Numbers: [190, 91]
Generated Node #3: [190, 91] from Operation: 60+31=91
Current State: 99:[190, 91], Operations: ['5*38=190', '60+31=91']
Exploring Operation: 190-91=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
80,
1,
51,
17
] | 27 | [
"80+1=81",
"51/17=3",
"81/3=27"
] | Current State: 27:[80, 1, 51, 17], Operations: []
Exploring Operation: 80+1=81, Resulting Numbers: [51, 17, 81]
Generated Node #2: [51, 17, 81] from Operation: 80+1=81
Current State: 27:[51, 17, 81], Operations: ['80+1=81']
Exploring Operation: 51/17=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 51/17=3
Current State: 27:[81, 3], Operations: ['80+1=81', '51/17=3']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
60,
58,
70,
82
] | 47 | [
"60-58=2",
"70/2=35",
"82-35=47"
] | Current State: 47:[60, 58, 70, 82], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [70, 82, 2]
Generated Node #2: [70, 82, 2] from Operation: 60-58=2
Current State: 47:[70, 82, 2], Operations: ['60-58=2']
Exploring Operation: 70/2=35, Resulting Numbers: [82, 35]
Generated Node #3: [82, 35] from Operation: 70/2=35
Current State: 47:[82, 35], Operations: ['60-58=2', '70/2=35']
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
50,
97,
15,
52
] | 20 | [
"97-50=47",
"15+52=67",
"67-47=20"
] | Current State: 20:[50, 97, 15, 52], Operations: []
Exploring Operation: 97-50=47, Resulting Numbers: [15, 52, 47]
Generated Node #2: [15, 52, 47] from Operation: 97-50=47
Current State: 20:[15, 52, 47], Operations: ['97-50=47']
Exploring Operation: 15+52=67, Resulting Numbers: [47, 67]
Generated Node #3: [47, 67] from Operation: 15+52=67
Current State: 20:[47, 67], Operations: ['97-50=47', '15+52=67']
Exploring Operation: 67-47=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
56,
63,
69,
71
] | 90 | [
"71-56=15",
"69-63=6",
"15*6=90"
] | Current State: 90:[56, 63, 69, 71], Operations: []
Exploring Operation: 71-56=15, Resulting Numbers: [63, 69, 15]
Generated Node #2: [63, 69, 15] from Operation: 71-56=15
Current State: 90:[63, 69, 15], Operations: ['71-56=15']
Exploring Operation: 69-63=6, Resulting Numbers: [15, 6]
Generated Node #3: [15, 6] from Operation: 69-63=6
Current State: 90:[15, 6], Operations: ['71-56=15', '69-63=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
76,
49,
30,
80
] | 75 | [
"76+49=125",
"80-30=50",
"125-50=75"
] | Current State: 75:[76, 49, 30, 80], Operations: []
Exploring Operation: 76+49=125, Resulting Numbers: [30, 80, 125]
Generated Node #2: [30, 80, 125] from Operation: 76+49=125
Current State: 75:[30, 80, 125], Operations: ['76+49=125']
Exploring Operation: 80-30=50, Resulting Numbers: [125, 50]
Generated Node #3: [125, 50] from Operation: 80-30=50
Current State: 75:[125, 50], Operations: ['76+49=125', '80-30=50']
Exploring Operation: 125-50=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
42,
64,
26,
88
] | 56 | [
"26*88=2288",
"64+2288=2352",
"2352/42=56"
] | Current State: 56:[42, 64, 26, 88], Operations: []
Exploring Operation: 26*88=2288, Resulting Numbers: [42, 64, 2288]
Generated Node #2: [42, 64, 2288] from Operation: 26*88=2288
Current State: 56:[42, 64, 2288], Operations: ['26*88=2288']
Exploring Operation: 64+2288=2352, Resulting Numbers: [42, 2352]
Generated Node #3: [42, 2352] from Operation: 64+2288=2352
Current State: 56:[42, 2352], Operations: ['26*88=2288', '64+2288=2352']
Exploring Operation: 2352/42=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
4,
3,
16,
7
] | 95 | [
"16-3=13",
"7*13=91",
"4+91=95"
] | Current State: 95:[4, 3, 16, 7], Operations: []
Exploring Operation: 16-3=13, Resulting Numbers: [4, 7, 13]
Generated Node #2: [4, 7, 13] from Operation: 16-3=13
Current State: 95:[4, 7, 13], Operations: ['16-3=13']
Exploring Operation: 7*13=91, Resulting Numbers: [4, 91]
Generated Node #3: [4, 91] from Operation: 7*13=91
Current State: 95:[4, 91], Operations: ['16-3=13', '7*13=91']
Exploring Operation: 4+91=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
96,
17,
75,
21
] | 59 | [
"96+17=113",
"75-21=54",
"113-54=59"
] | Current State: 59:[96, 17, 75, 21], Operations: []
Exploring Operation: 96+17=113, Resulting Numbers: [75, 21, 113]
Generated Node #2: [75, 21, 113] from Operation: 96+17=113
Current State: 59:[75, 21, 113], Operations: ['96+17=113']
Exploring Operation: 75-21=54, Resulting Numbers: [113, 54]
Generated Node #3: [113, 54] from Operation: 75-21=54
Current State: 59:[113, 54], Operations: ['96+17=113', '75-21=54']
Exploring Operation: 113-54=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
8,
86,
18,
36
] | 82 | [
"8*18=144",
"144/36=4",
"86-4=82"
] | Current State: 82:[8, 86, 18, 36], Operations: []
Exploring Operation: 8*18=144, Resulting Numbers: [86, 36, 144]
Generated Node #2: [86, 36, 144] from Operation: 8*18=144
Current State: 82:[86, 36, 144], Operations: ['8*18=144']
Exploring Operation: 144/36=4, Resulting Numbers: [86, 4]
Generated Node #3: [86, 4] from Operation: 144/36=4
Current State: 82:[86, 4], Operations: ['8*18=144', '144/36=4']
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
55,
34,
28,
68
] | 61 | [
"55-34=21",
"68-28=40",
"21+40=61"
] | Current State: 61:[55, 34, 28, 68], Operations: []
Exploring Operation: 55-34=21, Resulting Numbers: [28, 68, 21]
Generated Node #2: [28, 68, 21] from Operation: 55-34=21
Current State: 61:[28, 68, 21], Operations: ['55-34=21']
Exploring Operation: 68-28=40, Resulting Numbers: [21, 40]
Generated Node #3: [21, 40] from Operation: 68-28=40
Current State: 61:[21, 40], Operations: ['55-34=21', '68-28=40']
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
37,
99,
41,
10
] | 51 | [
"99+41=140",
"140/10=14",
"37+14=51"
] | Current State: 51:[37, 99, 41, 10], Operations: []
Exploring Operation: 99+41=140, Resulting Numbers: [37, 10, 140]
Generated Node #2: [37, 10, 140] from Operation: 99+41=140
Current State: 51:[37, 10, 140], Operations: ['99+41=140']
Exploring Operation: 140/10=14, Resulting Numbers: [37, 14]
Generated Node #3: [37, 14] from Operation: 140/10=14
Current State: 51:[37, 14], Operations: ['99+41=140', '140/10=14']
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
76,
75,
15,
28
] | 53 | [
"76-28=48",
"75/15=5",
"48+5=53"
] | Current State: 53:[76, 75, 15, 28], Operations: []
Exploring Operation: 76-28=48, Resulting Numbers: [75, 15, 48]
Generated Node #2: [75, 15, 48] from Operation: 76-28=48
Current State: 53:[75, 15, 48], Operations: ['76-28=48']
Exploring Operation: 75/15=5, Resulting Numbers: [48, 5]
Generated Node #3: [48, 5] from Operation: 75/15=5
Current State: 53:[48, 5], Operations: ['76-28=48', '75/15=5']
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
18,
22,
55,
29
] | 30 | [
"22-18=4",
"55-29=26",
"4+26=30"
] | Current State: 30:[18, 22, 55, 29], Operations: []
Exploring Operation: 22-18=4, Resulting Numbers: [55, 29, 4]
Generated Node #2: [55, 29, 4] from Operation: 22-18=4
Current State: 30:[55, 29, 4], Operations: ['22-18=4']
Exploring Operation: 55-29=26, Resulting Numbers: [4, 26]
Generated Node #3: [4, 26] from Operation: 55-29=26
Current State: 30:[4, 26], Operations: ['22-18=4', '55-29=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
67,
15,
7,
3
] | 62 | [
"67-15=52",
"7+3=10",
"52+10=62"
] | Current State: 62:[67, 15, 7, 3], Operations: []
Exploring Operation: 67-15=52, Resulting Numbers: [7, 3, 52]
Generated Node #2: [7, 3, 52] from Operation: 67-15=52
Current State: 62:[7, 3, 52], Operations: ['67-15=52']
Exploring Operation: 7+3=10, Resulting Numbers: [52, 10]
Generated Node #3: [52, 10] from Operation: 7+3=10
Current State: 62:[52, 10], Operations: ['67-15=52', '7+3=10']
Exploring Operation: 52+10=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
3,
86,
34,
58
] | 59 | [
"86-3=83",
"58-34=24",
"83-24=59"
] | Current State: 59:[3, 86, 34, 58], Operations: []
Exploring Operation: 86-3=83, Resulting Numbers: [34, 58, 83]
Generated Node #2: [34, 58, 83] from Operation: 86-3=83
Current State: 59:[34, 58, 83], Operations: ['86-3=83']
Exploring Operation: 58-34=24, Resulting Numbers: [83, 24]
Generated Node #3: [83, 24] from Operation: 58-34=24
Current State: 59:[83, 24], Operations: ['86-3=83', '58-34=24']
Exploring Operation: 83-24=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
77,
20,
17,
60
] | 51 | [
"77-20=57",
"60-57=3",
"17*3=51"
] | Current State: 51:[77, 20, 17, 60], Operations: []
Exploring Operation: 77-20=57, Resulting Numbers: [17, 60, 57]
Generated Node #2: [17, 60, 57] from Operation: 77-20=57
Current State: 51:[17, 60, 57], Operations: ['77-20=57']
Exploring Operation: 60-57=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 60-57=3
Current State: 51:[17, 3], Operations: ['77-20=57', '60-57=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
19,
4,
99,
9
] | 32 | [
"19*4=76",
"99+9=108",
"108-76=32"
] | Current State: 32:[19, 4, 99, 9], Operations: []
Exploring Operation: 19*4=76, Resulting Numbers: [99, 9, 76]
Generated Node #2: [99, 9, 76] from Operation: 19*4=76
Current State: 32:[99, 9, 76], Operations: ['19*4=76']
Exploring Operation: 99+9=108, Resulting Numbers: [76, 108]
Generated Node #3: [76, 108] from Operation: 99+9=108
Current State: 32:[76, 108], Operations: ['19*4=76', '99+9=108']
Exploring Operation: 108-76=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
64,
54,
62,
18
] | 42 | [
"64+62=126",
"54/18=3",
"126/3=42"
] | Current State: 42:[64, 54, 62, 18], Operations: []
Exploring Operation: 64+62=126, Resulting Numbers: [54, 18, 126]
Generated Node #2: [54, 18, 126] from Operation: 64+62=126
Current State: 42:[54, 18, 126], Operations: ['64+62=126']
Exploring Operation: 54/18=3, Resulting Numbers: [126, 3]
Generated Node #3: [126, 3] from Operation: 54/18=3
Current State: 42:[126, 3], Operations: ['64+62=126', '54/18=3']
Exploring Operation: 126/3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
19,
4,
84,
13
] | 42 | [
"19-4=15",
"15-13=2",
"84/2=42"
] | Current State: 42:[19, 4, 84, 13], Operations: []
Exploring Operation: 19-4=15, Resulting Numbers: [84, 13, 15]
Generated Node #2: [84, 13, 15] from Operation: 19-4=15
Current State: 42:[84, 13, 15], Operations: ['19-4=15']
Exploring Operation: 15-13=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 15-13=2
Current State: 42:[84, 2], Operations: ['19-4=15', '15-13=2']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
33,
49,
47,
82
] | 47 | [
"33+49=82",
"47+82=129",
"129-82=47"
] | Current State: 47:[33, 49, 47, 82], Operations: []
Exploring Operation: 33+49=82, Resulting Numbers: [47, 82, 82]
Generated Node #2: [47, 82, 82] from Operation: 33+49=82
Current State: 47:[47, 82, 82], Operations: ['33+49=82']
Exploring Operation: 47+82=129, Resulting Numbers: [129]
129,47 equal: Goal Reached
Exploring Operation: 129-82=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
13,
10,
79,
18
] | 88 | [
"13+79=92",
"10*18=180",
"180-92=88"
] | Current State: 88:[13, 10, 79, 18], Operations: []
Exploring Operation: 13+79=92, Resulting Numbers: [10, 18, 92]
Generated Node #2: [10, 18, 92] from Operation: 13+79=92
Current State: 88:[10, 18, 92], Operations: ['13+79=92']
Exploring Operation: 10*18=180, Resulting Numbers: [92, 180]
Generated Node #3: [92, 180] from Operation: 10*18=180
Current State: 88:[92, 180], Operations: ['13+79=92', '10*18=180']
Exploring Operation: 180-92=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
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