nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
93,
21,
57,
30
] | 87 | [
"93+21=114",
"57-30=27",
"114-27=87"
] | Current State: 87:[93, 21, 57, 30], Operations: []
Exploring Operation: 93+21=114, Resulting Numbers: [57, 30, 114]
Generated Node #2: [57, 30, 114] from Operation: 93+21=114
Current State: 87:[57, 30, 114], Operations: ['93+21=114']
Exploring Operation: 57-30=27, Resulting Numbers: [114, 27]
Generated Node #3: [114, 27] from Operation: 57-30=27
Current State: 87:[114, 27], Operations: ['93+21=114', '57-30=27']
Exploring Operation: 114-27=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
95,
76,
8,
64
] | 91 | [
"95-76=19",
"8+64=72",
"19+72=91"
] | Current State: 91:[95, 76, 8, 64], Operations: []
Exploring Operation: 95-76=19, Resulting Numbers: [8, 64, 19]
Generated Node #2: [8, 64, 19] from Operation: 95-76=19
Current State: 91:[8, 64, 19], Operations: ['95-76=19']
Exploring Operation: 8+64=72, Resulting Numbers: [19, 72]
Generated Node #3: [19, 72] from Operation: 8+64=72
Current State: 91:[19, 72], Operations: ['95-76=19', '8+64=72']
Exploring Operation: 19+72=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
74,
31,
41,
63
] | 65 | [
"74-31=43",
"63-41=22",
"43+22=65"
] | Current State: 65:[74, 31, 41, 63], Operations: []
Exploring Operation: 74-31=43, Resulting Numbers: [41, 63, 43]
Generated Node #2: [41, 63, 43] from Operation: 74-31=43
Current State: 65:[41, 63, 43], Operations: ['74-31=43']
Exploring Operation: 63-41=22, Resulting Numbers: [43, 22]
Generated Node #3: [43, 22] from Operation: 63-41=22
Current State: 65:[43, 22], Operations: ['74-31=43', '63-41=22']
Exploring Operation: 43+22=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
62,
46,
12,
94
] | 59 | [
"62+94=156",
"156/12=13",
"46+13=59"
] | Current State: 59:[62, 46, 12, 94], Operations: []
Exploring Operation: 62+94=156, Resulting Numbers: [46, 12, 156]
Generated Node #2: [46, 12, 156] from Operation: 62+94=156
Current State: 59:[46, 12, 156], Operations: ['62+94=156']
Exploring Operation: 156/12=13, Resulting Numbers: [46, 13]
Generated Node #3: [46, 13] from Operation: 156/12=13
Current State: 59:[46, 13], Operations: ['62+94=156', '156/12=13']
Exploring Operation: 46+13=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
9,
66,
44,
10
] | 91 | [
"66-9=57",
"44-10=34",
"57+34=91"
] | Current State: 91:[9, 66, 44, 10], Operations: []
Exploring Operation: 66-9=57, Resulting Numbers: [44, 10, 57]
Generated Node #2: [44, 10, 57] from Operation: 66-9=57
Current State: 91:[44, 10, 57], Operations: ['66-9=57']
Exploring Operation: 44-10=34, Resulting Numbers: [57, 34]
Generated Node #3: [57, 34] from Operation: 44-10=34
Current State: 91:[57, 34], Operations: ['66-9=57', '44-10=34']
Exploring Operation: 57+34=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
31,
36,
33,
63
] | 97 | [
"31+36=67",
"63-33=30",
"67+30=97"
] | Current State: 97:[31, 36, 33, 63], Operations: []
Exploring Operation: 31+36=67, Resulting Numbers: [33, 63, 67]
Generated Node #2: [33, 63, 67] from Operation: 31+36=67
Current State: 97:[33, 63, 67], Operations: ['31+36=67']
Exploring Operation: 63-33=30, Resulting Numbers: [67, 30]
Generated Node #3: [67, 30] from Operation: 63-33=30
Current State: 97:[67, 30], Operations: ['31+36=67', '63-33=30']
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
88,
35,
44,
46
] | 52 | [
"46-35=11",
"88/11=8",
"44+8=52"
] | Current State: 52:[88, 35, 44, 46], Operations: []
Exploring Operation: 46-35=11, Resulting Numbers: [88, 44, 11]
Generated Node #2: [88, 44, 11] from Operation: 46-35=11
Current State: 52:[88, 44, 11], Operations: ['46-35=11']
Exploring Operation: 88/11=8, Resulting Numbers: [44, 8]
Generated Node #3: [44, 8] from Operation: 88/11=8
Current State: 52:[44, 8], Operations: ['46-35=11', '88/11=8']
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
51,
99,
41,
28
] | 81 | [
"51+99=150",
"41+28=69",
"150-69=81"
] | Current State: 81:[51, 99, 41, 28], Operations: []
Exploring Operation: 51+99=150, Resulting Numbers: [41, 28, 150]
Generated Node #2: [41, 28, 150] from Operation: 51+99=150
Current State: 81:[41, 28, 150], Operations: ['51+99=150']
Exploring Operation: 41+28=69, Resulting Numbers: [150, 69]
Generated Node #3: [150, 69] from Operation: 41+28=69
Current State: 81:[150, 69], Operations: ['51+99=150', '41+28=69']
Exploring Operation: 150-69=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
61,
1,
69,
76
] | 67 | [
"61-1=60",
"76-69=7",
"60+7=67"
] | Current State: 67:[61, 1, 69, 76], Operations: []
Exploring Operation: 61-1=60, Resulting Numbers: [69, 76, 60]
Generated Node #2: [69, 76, 60] from Operation: 61-1=60
Current State: 67:[69, 76, 60], Operations: ['61-1=60']
Exploring Operation: 76-69=7, Resulting Numbers: [60, 7]
Generated Node #3: [60, 7] from Operation: 76-69=7
Current State: 67:[60, 7], Operations: ['61-1=60', '76-69=7']
Exploring Operation: 60+7=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
11,
24,
20,
25
] | 28 | [
"11+24=35",
"20*35=700",
"700/25=28"
] | Current State: 28:[11, 24, 20, 25], Operations: []
Exploring Operation: 11+24=35, Resulting Numbers: [20, 25, 35]
Generated Node #2: [20, 25, 35] from Operation: 11+24=35
Current State: 28:[20, 25, 35], Operations: ['11+24=35']
Exploring Operation: 20*35=700, Resulting Numbers: [25, 700]
Generated Node #3: [25, 700] from Operation: 20*35=700
Current State: 28:[25, 700], Operations: ['11+24=35', '20*35=700']
Exploring Operation: 700/25=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
68,
8,
95,
58
] | 93 | [
"68-8=60",
"95+58=153",
"153-60=93"
] | Current State: 93:[68, 8, 95, 58], Operations: []
Exploring Operation: 68-8=60, Resulting Numbers: [95, 58, 60]
Generated Node #2: [95, 58, 60] from Operation: 68-8=60
Current State: 93:[95, 58, 60], Operations: ['68-8=60']
Exploring Operation: 95+58=153, Resulting Numbers: [60, 153]
Generated Node #3: [60, 153] from Operation: 95+58=153
Current State: 93:[60, 153], Operations: ['68-8=60', '95+58=153']
Exploring Operation: 153-60=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
97,
42,
82,
83
] | 55 | [
"97-42=55",
"83-82=1",
"55*1=55"
] | Current State: 55:[97, 42, 82, 83], Operations: []
Exploring Operation: 97-42=55, Resulting Numbers: [82, 83, 55]
Generated Node #2: [82, 83, 55] from Operation: 97-42=55
Current State: 55:[82, 83, 55], Operations: ['97-42=55']
Exploring Operation: 83-82=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 83-82=1
Current State: 55:[55, 1], Operations: ['97-42=55', '83-82=1']
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
23,
21,
77,
56
] | 42 | [
"23-21=2",
"77-56=21",
"2*21=42"
] | Current State: 42:[23, 21, 77, 56], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [77, 56, 2]
Generated Node #2: [77, 56, 2] from Operation: 23-21=2
Current State: 42:[77, 56, 2], Operations: ['23-21=2']
Exploring Operation: 77-56=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 77-56=21
Current State: 42:[2, 21], Operations: ['23-21=2', '77-56=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
31,
5,
37,
30
] | 32 | [
"31-30=1",
"37-5=32",
"1*32=32"
] | Current State: 32:[31, 5, 37, 30], Operations: []
Exploring Operation: 31-30=1, Resulting Numbers: [5, 37, 1]
Generated Node #2: [5, 37, 1] from Operation: 31-30=1
Current State: 32:[5, 37, 1], Operations: ['31-30=1']
Exploring Operation: 37-5=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 37-5=32
Current State: 32:[1, 32], Operations: ['31-30=1', '37-5=32']
Exploring Operation: 1*32=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
33,
2,
66,
49
] | 100 | [
"33+66=99",
"99-49=50",
"2*50=100"
] | Current State: 100:[33, 2, 66, 49], Operations: []
Exploring Operation: 33+66=99, Resulting Numbers: [2, 49, 99]
Generated Node #2: [2, 49, 99] from Operation: 33+66=99
Current State: 100:[2, 49, 99], Operations: ['33+66=99']
Exploring Operation: 99-49=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 99-49=50
Current State: 100:[2, 50], Operations: ['33+66=99', '99-49=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
29,
51,
6,
90
] | 62 | [
"51-29=22",
"90-6=84",
"84-22=62"
] | Current State: 62:[29, 51, 6, 90], Operations: []
Exploring Operation: 51-29=22, Resulting Numbers: [6, 90, 22]
Generated Node #2: [6, 90, 22] from Operation: 51-29=22
Current State: 62:[6, 90, 22], Operations: ['51-29=22']
Exploring Operation: 90-6=84, Resulting Numbers: [22, 84]
Generated Node #3: [22, 84] from Operation: 90-6=84
Current State: 62:[22, 84], Operations: ['51-29=22', '90-6=84']
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
5,
46,
45,
42
] | 54 | [
"5+46=51",
"45-42=3",
"51+3=54"
] | Current State: 54:[5, 46, 45, 42], Operations: []
Exploring Operation: 5+46=51, Resulting Numbers: [45, 42, 51]
Generated Node #2: [45, 42, 51] from Operation: 5+46=51
Current State: 54:[45, 42, 51], Operations: ['5+46=51']
Exploring Operation: 45-42=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 45-42=3
Current State: 54:[51, 3], Operations: ['5+46=51', '45-42=3']
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
57,
19,
33,
80
] | 75 | [
"57-19=38",
"33+80=113",
"113-38=75"
] | Current State: 75:[57, 19, 33, 80], Operations: []
Exploring Operation: 57-19=38, Resulting Numbers: [33, 80, 38]
Generated Node #2: [33, 80, 38] from Operation: 57-19=38
Current State: 75:[33, 80, 38], Operations: ['57-19=38']
Exploring Operation: 33+80=113, Resulting Numbers: [38, 113]
Generated Node #3: [38, 113] from Operation: 33+80=113
Current State: 75:[38, 113], Operations: ['57-19=38', '33+80=113']
Exploring Operation: 113-38=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
88,
83,
30,
62
] | 78 | [
"88+62=150",
"150/30=5",
"83-5=78"
] | Current State: 78:[88, 83, 30, 62], Operations: []
Exploring Operation: 88+62=150, Resulting Numbers: [83, 30, 150]
Generated Node #2: [83, 30, 150] from Operation: 88+62=150
Current State: 78:[83, 30, 150], Operations: ['88+62=150']
Exploring Operation: 150/30=5, Resulting Numbers: [83, 5]
Generated Node #3: [83, 5] from Operation: 150/30=5
Current State: 78:[83, 5], Operations: ['88+62=150', '150/30=5']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
87,
31,
56,
27
] | 34 | [
"56-27=29",
"87/29=3",
"31+3=34"
] | Current State: 34:[87, 31, 56, 27], Operations: []
Exploring Operation: 56-27=29, Resulting Numbers: [87, 31, 29]
Generated Node #2: [87, 31, 29] from Operation: 56-27=29
Current State: 34:[87, 31, 29], Operations: ['56-27=29']
Exploring Operation: 87/29=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 87/29=3
Current State: 34:[31, 3], Operations: ['56-27=29', '87/29=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
92,
92,
91,
63
] | 28 | [
"92-92=0",
"91-63=28",
"0+28=28"
] | Current State: 28:[92, 92, 91, 63], Operations: []
Exploring Operation: 92-92=0, Resulting Numbers: [91, 63, 0]
Generated Node #2: [91, 63, 0] from Operation: 92-92=0
Current State: 28:[91, 63, 0], Operations: ['92-92=0']
Exploring Operation: 91-63=28, Resulting Numbers: [0, 28]
Generated Node #3: [0, 28] from Operation: 91-63=28
Current State: 28:[0, 28], Operations: ['92-92=0', '91-63=28']
Exploring Operation: 0+28=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
10,
95,
27,
30
] | 48 | [
"10+95=105",
"27+30=57",
"105-57=48"
] | Current State: 48:[10, 95, 27, 30], Operations: []
Exploring Operation: 10+95=105, Resulting Numbers: [27, 30, 105]
Generated Node #2: [27, 30, 105] from Operation: 10+95=105
Current State: 48:[27, 30, 105], Operations: ['10+95=105']
Exploring Operation: 27+30=57, Resulting Numbers: [105, 57]
Generated Node #3: [105, 57] from Operation: 27+30=57
Current State: 48:[105, 57], Operations: ['10+95=105', '27+30=57']
Exploring Operation: 105-57=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
26,
36,
66,
9
] | 44 | [
"66-26=40",
"36/9=4",
"40+4=44"
] | Current State: 44:[26, 36, 66, 9], Operations: []
Exploring Operation: 66-26=40, Resulting Numbers: [36, 9, 40]
Generated Node #2: [36, 9, 40] from Operation: 66-26=40
Current State: 44:[36, 9, 40], Operations: ['66-26=40']
Exploring Operation: 36/9=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 36/9=4
Current State: 44:[40, 4], Operations: ['66-26=40', '36/9=4']
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
71,
49,
37,
11
] | 72 | [
"71+49=120",
"37+11=48",
"120-48=72"
] | Current State: 72:[71, 49, 37, 11], Operations: []
Exploring Operation: 71+49=120, Resulting Numbers: [37, 11, 120]
Generated Node #2: [37, 11, 120] from Operation: 71+49=120
Current State: 72:[37, 11, 120], Operations: ['71+49=120']
Exploring Operation: 37+11=48, Resulting Numbers: [120, 48]
Generated Node #3: [120, 48] from Operation: 37+11=48
Current State: 72:[120, 48], Operations: ['71+49=120', '37+11=48']
Exploring Operation: 120-48=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
92,
11,
65,
26
] | 71 | [
"92-26=66",
"66/11=6",
"65+6=71"
] | Current State: 71:[92, 11, 65, 26], Operations: []
Exploring Operation: 92-26=66, Resulting Numbers: [11, 65, 66]
Generated Node #2: [11, 65, 66] from Operation: 92-26=66
Current State: 71:[11, 65, 66], Operations: ['92-26=66']
Exploring Operation: 66/11=6, Resulting Numbers: [65, 6]
Generated Node #3: [65, 6] from Operation: 66/11=6
Current State: 71:[65, 6], Operations: ['92-26=66', '66/11=6']
Exploring Operation: 65+6=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
12,
81,
25,
79
] | 74 | [
"12+25=37",
"81-79=2",
"37*2=74"
] | Current State: 74:[12, 81, 25, 79], Operations: []
Exploring Operation: 12+25=37, Resulting Numbers: [81, 79, 37]
Generated Node #2: [81, 79, 37] from Operation: 12+25=37
Current State: 74:[81, 79, 37], Operations: ['12+25=37']
Exploring Operation: 81-79=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 81-79=2
Current State: 74:[37, 2], Operations: ['12+25=37', '81-79=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
6,
35,
59,
13
] | 67 | [
"35+13=48",
"48/6=8",
"59+8=67"
] | Current State: 67:[6, 35, 59, 13], Operations: []
Exploring Operation: 35+13=48, Resulting Numbers: [6, 59, 48]
Generated Node #2: [6, 59, 48] from Operation: 35+13=48
Current State: 67:[6, 59, 48], Operations: ['35+13=48']
Exploring Operation: 48/6=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 48/6=8
Current State: 67:[59, 8], Operations: ['35+13=48', '48/6=8']
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
37,
49,
87,
24
] | 46 | [
"87+24=111",
"111/37=3",
"49-3=46"
] | Current State: 46:[37, 49, 87, 24], Operations: []
Exploring Operation: 87+24=111, Resulting Numbers: [37, 49, 111]
Generated Node #2: [37, 49, 111] from Operation: 87+24=111
Current State: 46:[37, 49, 111], Operations: ['87+24=111']
Exploring Operation: 111/37=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 111/37=3
Current State: 46:[49, 3], Operations: ['87+24=111', '111/37=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
73,
96,
37,
24
] | 37 | [
"96-73=23",
"24-23=1",
"37*1=37"
] | Current State: 37:[73, 96, 37, 24], Operations: []
Exploring Operation: 96-73=23, Resulting Numbers: [37, 24, 23]
Generated Node #2: [37, 24, 23] from Operation: 96-73=23
Current State: 37:[37, 24, 23], Operations: ['96-73=23']
Exploring Operation: 24-23=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 24-23=1
Current State: 37:[37, 1], Operations: ['96-73=23', '24-23=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
2,
58,
17,
60
] | 62 | [
"17-2=15",
"60/15=4",
"58+4=62"
] | Current State: 62:[2, 58, 17, 60], Operations: []
Exploring Operation: 17-2=15, Resulting Numbers: [58, 60, 15]
Generated Node #2: [58, 60, 15] from Operation: 17-2=15
Current State: 62:[58, 60, 15], Operations: ['17-2=15']
Exploring Operation: 60/15=4, Resulting Numbers: [58, 4]
Generated Node #3: [58, 4] from Operation: 60/15=4
Current State: 62:[58, 4], Operations: ['17-2=15', '60/15=4']
Exploring Operation: 58+4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
13,
1,
26,
95
] | 93 | [
"13*1=13",
"26/13=2",
"95-2=93"
] | Current State: 93:[13, 1, 26, 95], Operations: []
Exploring Operation: 13*1=13, Resulting Numbers: [26, 95, 13]
Generated Node #2: [26, 95, 13] from Operation: 13*1=13
Current State: 93:[26, 95, 13], Operations: ['13*1=13']
Exploring Operation: 26/13=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 26/13=2
Current State: 93:[95, 2], Operations: ['13*1=13', '26/13=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
1,
2,
6,
5
] | 12 | [
"1+2=3",
"5-3=2",
"6*2=12"
] | Current State: 12:[1, 2, 6, 5], Operations: []
Exploring Operation: 1+2=3, Resulting Numbers: [6, 5, 3]
Generated Node #2: [6, 5, 3] from Operation: 1+2=3
Current State: 12:[6, 5, 3], Operations: ['1+2=3']
Exploring Operation: 5-3=2, Resulting Numbers: [6, 2]
Generated Node #3: [6, 2] from Operation: 5-3=2
Current State: 12:[6, 2], Operations: ['1+2=3', '5-3=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
38,
88,
4,
82
] | 57 | [
"88-82=6",
"38*6=228",
"228/4=57"
] | Current State: 57:[38, 88, 4, 82], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [38, 4, 6]
Generated Node #2: [38, 4, 6] from Operation: 88-82=6
Current State: 57:[38, 4, 6], Operations: ['88-82=6']
Exploring Operation: 38*6=228, Resulting Numbers: [4, 228]
Generated Node #3: [4, 228] from Operation: 38*6=228
Current State: 57:[4, 228], Operations: ['88-82=6', '38*6=228']
Exploring Operation: 228/4=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
53,
11,
71,
96
] | 89 | [
"53+11=64",
"96-71=25",
"64+25=89"
] | Current State: 89:[53, 11, 71, 96], Operations: []
Exploring Operation: 53+11=64, Resulting Numbers: [71, 96, 64]
Generated Node #2: [71, 96, 64] from Operation: 53+11=64
Current State: 89:[71, 96, 64], Operations: ['53+11=64']
Exploring Operation: 96-71=25, Resulting Numbers: [64, 25]
Generated Node #3: [64, 25] from Operation: 96-71=25
Current State: 89:[64, 25], Operations: ['53+11=64', '96-71=25']
Exploring Operation: 64+25=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
25,
35,
18,
2
] | 80 | [
"25+35=60",
"18+2=20",
"60+20=80"
] | Current State: 80:[25, 35, 18, 2], Operations: []
Exploring Operation: 25+35=60, Resulting Numbers: [18, 2, 60]
Generated Node #2: [18, 2, 60] from Operation: 25+35=60
Current State: 80:[18, 2, 60], Operations: ['25+35=60']
Exploring Operation: 18+2=20, Resulting Numbers: [60, 20]
Generated Node #3: [60, 20] from Operation: 18+2=20
Current State: 80:[60, 20], Operations: ['25+35=60', '18+2=20']
Exploring Operation: 60+20=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
6,
2,
81,
56
] | 83 | [
"6/2=3",
"81/3=27",
"56+27=83"
] | Current State: 83:[6, 2, 81, 56], Operations: []
Exploring Operation: 6/2=3, Resulting Numbers: [81, 56, 3]
Generated Node #2: [81, 56, 3] from Operation: 6/2=3
Current State: 83:[81, 56, 3], Operations: ['6/2=3']
Exploring Operation: 81/3=27, Resulting Numbers: [56, 27]
Generated Node #3: [56, 27] from Operation: 81/3=27
Current State: 83:[56, 27], Operations: ['6/2=3', '81/3=27']
Exploring Operation: 56+27=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
13,
23,
46,
91
] | 76 | [
"91-13=78",
"46/23=2",
"78-2=76"
] | Current State: 76:[13, 23, 46, 91], Operations: []
Exploring Operation: 91-13=78, Resulting Numbers: [23, 46, 78]
Generated Node #2: [23, 46, 78] from Operation: 91-13=78
Current State: 76:[23, 46, 78], Operations: ['91-13=78']
Exploring Operation: 46/23=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 46/23=2
Current State: 76:[78, 2], Operations: ['91-13=78', '46/23=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
38,
8,
49,
2
] | 71 | [
"38+49=87",
"8*2=16",
"87-16=71"
] | Current State: 71:[38, 8, 49, 2], Operations: []
Exploring Operation: 38+49=87, Resulting Numbers: [8, 2, 87]
Generated Node #2: [8, 2, 87] from Operation: 38+49=87
Current State: 71:[8, 2, 87], Operations: ['38+49=87']
Exploring Operation: 8*2=16, Resulting Numbers: [87, 16]
Generated Node #3: [87, 16] from Operation: 8*2=16
Current State: 71:[87, 16], Operations: ['38+49=87', '8*2=16']
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
55,
2,
10,
48
] | 56 | [
"55-48=7",
"10-2=8",
"7*8=56"
] | Current State: 56:[55, 2, 10, 48], Operations: []
Exploring Operation: 55-48=7, Resulting Numbers: [2, 10, 7]
Generated Node #2: [2, 10, 7] from Operation: 55-48=7
Current State: 56:[2, 10, 7], Operations: ['55-48=7']
Exploring Operation: 10-2=8, Resulting Numbers: [7, 8]
Generated Node #3: [7, 8] from Operation: 10-2=8
Current State: 56:[7, 8], Operations: ['55-48=7', '10-2=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
88,
3,
3,
12
] | 84 | [
"88*3=264",
"264-12=252",
"252/3=84"
] | Current State: 84:[88, 3, 3, 12], Operations: []
Exploring Operation: 88*3=264, Resulting Numbers: [12, 264]
Generated Node #2: [12, 264] from Operation: 88*3=264
Current State: 84:[12, 264], Operations: ['88*3=264']
Exploring Operation: 264-12=252, Resulting Numbers: [252]
252,84 equal: Goal Reached
Exploring Operation: 252/3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
58,
41,
59,
72
] | 86 | [
"58+41=99",
"72-59=13",
"99-13=86"
] | Current State: 86:[58, 41, 59, 72], Operations: []
Exploring Operation: 58+41=99, Resulting Numbers: [59, 72, 99]
Generated Node #2: [59, 72, 99] from Operation: 58+41=99
Current State: 86:[59, 72, 99], Operations: ['58+41=99']
Exploring Operation: 72-59=13, Resulting Numbers: [99, 13]
Generated Node #3: [99, 13] from Operation: 72-59=13
Current State: 86:[99, 13], Operations: ['58+41=99', '72-59=13']
Exploring Operation: 99-13=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
82,
85,
83,
4
] | 37 | [
"85-83=2",
"82/2=41",
"41-4=37"
] | Current State: 37:[82, 85, 83, 4], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [82, 4, 2]
Generated Node #2: [82, 4, 2] from Operation: 85-83=2
Current State: 37:[82, 4, 2], Operations: ['85-83=2']
Exploring Operation: 82/2=41, Resulting Numbers: [4, 41]
Generated Node #3: [4, 41] from Operation: 82/2=41
Current State: 37:[4, 41], Operations: ['85-83=2', '82/2=41']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
83,
39,
35,
1
] | 86 | [
"83+39=122",
"35+1=36",
"122-36=86"
] | Current State: 86:[83, 39, 35, 1], Operations: []
Exploring Operation: 83+39=122, Resulting Numbers: [35, 1, 122]
Generated Node #2: [35, 1, 122] from Operation: 83+39=122
Current State: 86:[35, 1, 122], Operations: ['83+39=122']
Exploring Operation: 35+1=36, Resulting Numbers: [122, 36]
Generated Node #3: [122, 36] from Operation: 35+1=36
Current State: 86:[122, 36], Operations: ['83+39=122', '35+1=36']
Exploring Operation: 122-36=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
79,
72,
75,
7
] | 100 | [
"79-75=4",
"7*4=28",
"72+28=100"
] | Current State: 100:[79, 72, 75, 7], Operations: []
Exploring Operation: 79-75=4, Resulting Numbers: [72, 7, 4]
Generated Node #2: [72, 7, 4] from Operation: 79-75=4
Current State: 100:[72, 7, 4], Operations: ['79-75=4']
Exploring Operation: 7*4=28, Resulting Numbers: [72, 28]
Generated Node #3: [72, 28] from Operation: 7*4=28
Current State: 100:[72, 28], Operations: ['79-75=4', '7*4=28']
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
78,
24,
41,
85
] | 72 | [
"78-24=54",
"41+85=126",
"126-54=72"
] | Current State: 72:[78, 24, 41, 85], Operations: []
Exploring Operation: 78-24=54, Resulting Numbers: [41, 85, 54]
Generated Node #2: [41, 85, 54] from Operation: 78-24=54
Current State: 72:[41, 85, 54], Operations: ['78-24=54']
Exploring Operation: 41+85=126, Resulting Numbers: [54, 126]
Generated Node #3: [54, 126] from Operation: 41+85=126
Current State: 72:[54, 126], Operations: ['78-24=54', '41+85=126']
Exploring Operation: 126-54=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
43,
4,
55,
88
] | 96 | [
"43+4=47",
"55+88=143",
"143-47=96"
] | Current State: 96:[43, 4, 55, 88], Operations: []
Exploring Operation: 43+4=47, Resulting Numbers: [55, 88, 47]
Generated Node #2: [55, 88, 47] from Operation: 43+4=47
Current State: 96:[55, 88, 47], Operations: ['43+4=47']
Exploring Operation: 55+88=143, Resulting Numbers: [47, 143]
Generated Node #3: [47, 143] from Operation: 55+88=143
Current State: 96:[47, 143], Operations: ['43+4=47', '55+88=143']
Exploring Operation: 143-47=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
77,
23,
89,
90
] | 99 | [
"77+23=100",
"90-89=1",
"100-1=99"
] | Current State: 99:[77, 23, 89, 90], Operations: []
Exploring Operation: 77+23=100, Resulting Numbers: [89, 90, 100]
Generated Node #2: [89, 90, 100] from Operation: 77+23=100
Current State: 99:[89, 90, 100], Operations: ['77+23=100']
Exploring Operation: 90-89=1, Resulting Numbers: [100, 1]
Generated Node #3: [100, 1] from Operation: 90-89=1
Current State: 99:[100, 1], Operations: ['77+23=100', '90-89=1']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
45,
28,
54,
5
] | 24 | [
"45+28=73",
"54-5=49",
"73-49=24"
] | Current State: 24:[45, 28, 54, 5], Operations: []
Exploring Operation: 45+28=73, Resulting Numbers: [54, 5, 73]
Generated Node #2: [54, 5, 73] from Operation: 45+28=73
Current State: 24:[54, 5, 73], Operations: ['45+28=73']
Exploring Operation: 54-5=49, Resulting Numbers: [73, 49]
Generated Node #3: [73, 49] from Operation: 54-5=49
Current State: 24:[73, 49], Operations: ['45+28=73', '54-5=49']
Exploring Operation: 73-49=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
4,
14,
11,
25
] | 71 | [
"14-11=3",
"25*3=75",
"75-4=71"
] | Current State: 71:[4, 14, 11, 25], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [4, 25, 3]
Generated Node #2: [4, 25, 3] from Operation: 14-11=3
Current State: 71:[4, 25, 3], Operations: ['14-11=3']
Exploring Operation: 25*3=75, Resulting Numbers: [4, 75]
Generated Node #3: [4, 75] from Operation: 25*3=75
Current State: 71:[4, 75], Operations: ['14-11=3', '25*3=75']
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
88,
12,
11,
11
] | 98 | [
"88-12=76",
"11+11=22",
"76+22=98"
] | Current State: 98:[88, 12, 11, 11], Operations: []
Exploring Operation: 88-12=76, Resulting Numbers: [11, 11, 76]
Generated Node #2: [11, 11, 76] from Operation: 88-12=76
Current State: 98:[11, 11, 76], Operations: ['88-12=76']
Exploring Operation: 11+11=22, Resulting Numbers: [76, 22]
Generated Node #3: [76, 22] from Operation: 11+11=22
Current State: 98:[76, 22], Operations: ['88-12=76', '11+11=22']
Exploring Operation: 76+22=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
90,
21,
21,
3
] | 31 | [
"90/3=30",
"21/21=1",
"30+1=31"
] | Current State: 31:[90, 21, 21, 3], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [21, 21, 30]
Generated Node #2: [21, 21, 30] from Operation: 90/3=30
Current State: 31:[21, 21, 30], Operations: ['90/3=30']
Exploring Operation: 21/21=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 21/21=1
Current State: 31:[30, 1], Operations: ['90/3=30', '21/21=1']
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
98,
64,
62,
88
] | 20 | [
"98-88=10",
"64-62=2",
"10*2=20"
] | Current State: 20:[98, 64, 62, 88], Operations: []
Exploring Operation: 98-88=10, Resulting Numbers: [64, 62, 10]
Generated Node #2: [64, 62, 10] from Operation: 98-88=10
Current State: 20:[64, 62, 10], Operations: ['98-88=10']
Exploring Operation: 64-62=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 64-62=2
Current State: 20:[10, 2], Operations: ['98-88=10', '64-62=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
75,
42,
58,
50
] | 75 | [
"75-42=33",
"58+50=108",
"108-33=75"
] | Current State: 75:[75, 42, 58, 50], Operations: []
Exploring Operation: 75-42=33, Resulting Numbers: [58, 50, 33]
Generated Node #2: [58, 50, 33] from Operation: 75-42=33
Current State: 75:[58, 50, 33], Operations: ['75-42=33']
Exploring Operation: 58+50=108, Resulting Numbers: [33, 108]
Generated Node #3: [33, 108] from Operation: 58+50=108
Current State: 75:[33, 108], Operations: ['75-42=33', '58+50=108']
Exploring Operation: 108-33=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
32,
67,
36,
61
] | 52 | [
"32*67=2144",
"36*61=2196",
"2196-2144=52"
] | Current State: 52:[32, 67, 36, 61], Operations: []
Exploring Operation: 32*67=2144, Resulting Numbers: [36, 61, 2144]
Generated Node #2: [36, 61, 2144] from Operation: 32*67=2144
Current State: 52:[36, 61, 2144], Operations: ['32*67=2144']
Exploring Operation: 36*61=2196, Resulting Numbers: [2144, 2196]
Generated Node #3: [2144, 2196] from Operation: 36*61=2196
Current State: 52:[2144, 2196], Operations: ['32*67=2144', '36*61=2196']
Exploring Operation: 2196-2144=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
42,
15,
30,
5
] | 49 | [
"42+5=47",
"30/15=2",
"47+2=49"
] | Current State: 49:[42, 15, 30, 5], Operations: []
Exploring Operation: 42+5=47, Resulting Numbers: [15, 30, 47]
Generated Node #2: [15, 30, 47] from Operation: 42+5=47
Current State: 49:[15, 30, 47], Operations: ['42+5=47']
Exploring Operation: 30/15=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 30/15=2
Current State: 49:[47, 2], Operations: ['42+5=47', '30/15=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
82,
69,
83,
30
] | 100 | [
"82-69=13",
"83+30=113",
"113-13=100"
] | Current State: 100:[82, 69, 83, 30], Operations: []
Exploring Operation: 82-69=13, Resulting Numbers: [83, 30, 13]
Generated Node #2: [83, 30, 13] from Operation: 82-69=13
Current State: 100:[83, 30, 13], Operations: ['82-69=13']
Exploring Operation: 83+30=113, Resulting Numbers: [13, 113]
Generated Node #3: [13, 113] from Operation: 83+30=113
Current State: 100:[13, 113], Operations: ['82-69=13', '83+30=113']
Exploring Operation: 113-13=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
66,
6,
62,
6
] | 16 | [
"66+6=72",
"62-6=56",
"72-56=16"
] | Current State: 16:[66, 6, 62, 6], Operations: []
Exploring Operation: 66+6=72, Resulting Numbers: [62, 72]
Generated Node #2: [62, 72] from Operation: 66+6=72
Current State: 16:[62, 72], Operations: ['66+6=72']
Exploring Operation: 62-6=56, Resulting Numbers: [72, 56]
Generated Node #3: [72, 56] from Operation: 62-6=56
Current State: 16:[72, 56], Operations: ['66+6=72', '62-6=56']
Exploring Operation: 72-56=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
47,
64,
26,
37
] | 23 | [
"47+64=111",
"111/37=3",
"26-3=23"
] | Current State: 23:[47, 64, 26, 37], Operations: []
Exploring Operation: 47+64=111, Resulting Numbers: [26, 37, 111]
Generated Node #2: [26, 37, 111] from Operation: 47+64=111
Current State: 23:[26, 37, 111], Operations: ['47+64=111']
Exploring Operation: 111/37=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 111/37=3
Current State: 23:[26, 3], Operations: ['47+64=111', '111/37=3']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
97,
44,
75,
88
] | 53 | [
"88/44=2",
"75*2=150",
"150-97=53"
] | Current State: 53:[97, 44, 75, 88], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [97, 75, 2]
Generated Node #2: [97, 75, 2] from Operation: 88/44=2
Current State: 53:[97, 75, 2], Operations: ['88/44=2']
Exploring Operation: 75*2=150, Resulting Numbers: [97, 150]
Generated Node #3: [97, 150] from Operation: 75*2=150
Current State: 53:[97, 150], Operations: ['88/44=2', '75*2=150']
Exploring Operation: 150-97=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
40,
27,
77,
4
] | 71 | [
"77-40=37",
"27*4=108",
"108-37=71"
] | Current State: 71:[40, 27, 77, 4], Operations: []
Exploring Operation: 77-40=37, Resulting Numbers: [27, 4, 37]
Generated Node #2: [27, 4, 37] from Operation: 77-40=37
Current State: 71:[27, 4, 37], Operations: ['77-40=37']
Exploring Operation: 27*4=108, Resulting Numbers: [37, 108]
Generated Node #3: [37, 108] from Operation: 27*4=108
Current State: 71:[37, 108], Operations: ['77-40=37', '27*4=108']
Exploring Operation: 108-37=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
52,
28,
14,
14
] | 81 | [
"52+28=80",
"14/14=1",
"80+1=81"
] | Current State: 81:[52, 28, 14, 14], Operations: []
Exploring Operation: 52+28=80, Resulting Numbers: [14, 14, 80]
Generated Node #2: [14, 14, 80] from Operation: 52+28=80
Current State: 81:[14, 14, 80], Operations: ['52+28=80']
Exploring Operation: 14/14=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 14/14=1
Current State: 81:[80, 1], Operations: ['52+28=80', '14/14=1']
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
48,
78,
48,
15
] | 24 | [
"78-48=30",
"48*15=720",
"720/30=24"
] | Current State: 24:[48, 78, 48, 15], Operations: []
Exploring Operation: 78-48=30, Resulting Numbers: [15, 30]
Generated Node #2: [15, 30] from Operation: 78-48=30
Current State: 24:[15, 30], Operations: ['78-48=30']
Exploring Operation: 48*15=720, Resulting Numbers: [30, 720]
Generated Node #3: [30, 720] from Operation: 48*15=720
Current State: 24:[30, 720], Operations: ['78-48=30', '48*15=720']
Exploring Operation: 720/30=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
74,
96,
85,
34
] | 80 | [
"74+96=170",
"170/34=5",
"85-5=80"
] | Current State: 80:[74, 96, 85, 34], Operations: []
Exploring Operation: 74+96=170, Resulting Numbers: [85, 34, 170]
Generated Node #2: [85, 34, 170] from Operation: 74+96=170
Current State: 80:[85, 34, 170], Operations: ['74+96=170']
Exploring Operation: 170/34=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 170/34=5
Current State: 80:[85, 5], Operations: ['74+96=170', '170/34=5']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
22,
84,
26,
15
] | 82 | [
"26-15=11",
"22/11=2",
"84-2=82"
] | Current State: 82:[22, 84, 26, 15], Operations: []
Exploring Operation: 26-15=11, Resulting Numbers: [22, 84, 11]
Generated Node #2: [22, 84, 11] from Operation: 26-15=11
Current State: 82:[22, 84, 11], Operations: ['26-15=11']
Exploring Operation: 22/11=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 22/11=2
Current State: 82:[84, 2], Operations: ['26-15=11', '22/11=2']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
9,
39,
73,
21
] | 77 | [
"9*21=189",
"39+73=112",
"189-112=77"
] | Current State: 77:[9, 39, 73, 21], Operations: []
Exploring Operation: 9*21=189, Resulting Numbers: [39, 73, 189]
Generated Node #2: [39, 73, 189] from Operation: 9*21=189
Current State: 77:[39, 73, 189], Operations: ['9*21=189']
Exploring Operation: 39+73=112, Resulting Numbers: [189, 112]
Generated Node #3: [189, 112] from Operation: 39+73=112
Current State: 77:[189, 112], Operations: ['9*21=189', '39+73=112']
Exploring Operation: 189-112=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
11,
46,
20,
91
] | 36 | [
"46-11=35",
"91-20=71",
"71-35=36"
] | Current State: 36:[11, 46, 20, 91], Operations: []
Exploring Operation: 46-11=35, Resulting Numbers: [20, 91, 35]
Generated Node #2: [20, 91, 35] from Operation: 46-11=35
Current State: 36:[20, 91, 35], Operations: ['46-11=35']
Exploring Operation: 91-20=71, Resulting Numbers: [35, 71]
Generated Node #3: [35, 71] from Operation: 91-20=71
Current State: 36:[35, 71], Operations: ['46-11=35', '91-20=71']
Exploring Operation: 71-35=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
69,
19,
35,
90
] | 33 | [
"69+19=88",
"90-35=55",
"88-55=33"
] | Current State: 33:[69, 19, 35, 90], Operations: []
Exploring Operation: 69+19=88, Resulting Numbers: [35, 90, 88]
Generated Node #2: [35, 90, 88] from Operation: 69+19=88
Current State: 33:[35, 90, 88], Operations: ['69+19=88']
Exploring Operation: 90-35=55, Resulting Numbers: [88, 55]
Generated Node #3: [88, 55] from Operation: 90-35=55
Current State: 33:[88, 55], Operations: ['69+19=88', '90-35=55']
Exploring Operation: 88-55=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
37,
29,
9,
7
] | 79 | [
"37-29=8",
"9*8=72",
"7+72=79"
] | Current State: 79:[37, 29, 9, 7], Operations: []
Exploring Operation: 37-29=8, Resulting Numbers: [9, 7, 8]
Generated Node #2: [9, 7, 8] from Operation: 37-29=8
Current State: 79:[9, 7, 8], Operations: ['37-29=8']
Exploring Operation: 9*8=72, Resulting Numbers: [7, 72]
Generated Node #3: [7, 72] from Operation: 9*8=72
Current State: 79:[7, 72], Operations: ['37-29=8', '9*8=72']
Exploring Operation: 7+72=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
7,
66,
71,
53
] | 77 | [
"66-7=59",
"71-53=18",
"59+18=77"
] | Current State: 77:[7, 66, 71, 53], Operations: []
Exploring Operation: 66-7=59, Resulting Numbers: [71, 53, 59]
Generated Node #2: [71, 53, 59] from Operation: 66-7=59
Current State: 77:[71, 53, 59], Operations: ['66-7=59']
Exploring Operation: 71-53=18, Resulting Numbers: [59, 18]
Generated Node #3: [59, 18] from Operation: 71-53=18
Current State: 77:[59, 18], Operations: ['66-7=59', '71-53=18']
Exploring Operation: 59+18=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
74,
35,
75,
56
] | 90 | [
"74+35=109",
"75-56=19",
"109-19=90"
] | Current State: 90:[74, 35, 75, 56], Operations: []
Exploring Operation: 74+35=109, Resulting Numbers: [75, 56, 109]
Generated Node #2: [75, 56, 109] from Operation: 74+35=109
Current State: 90:[75, 56, 109], Operations: ['74+35=109']
Exploring Operation: 75-56=19, Resulting Numbers: [109, 19]
Generated Node #3: [109, 19] from Operation: 75-56=19
Current State: 90:[109, 19], Operations: ['74+35=109', '75-56=19']
Exploring Operation: 109-19=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
26,
14,
26,
82
] | 14 | [
"26-26=0",
"82*0=0",
"14+0=14"
] | Current State: 14:[26, 14, 26, 82], Operations: []
Exploring Operation: 26-26=0, Resulting Numbers: [14, 82, 0]
Generated Node #2: [14, 82, 0] from Operation: 26-26=0
Current State: 14:[14, 82, 0], Operations: ['26-26=0']
Exploring Operation: 82*0=0, Resulting Numbers: [14, 0]
Generated Node #3: [14, 0] from Operation: 82*0=0
Current State: 14:[14, 0], Operations: ['26-26=0', '82*0=0']
Exploring Operation: 14+0=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
19,
3,
55,
81
] | 79 | [
"19*3=57",
"55+81=136",
"136-57=79"
] | Current State: 79:[19, 3, 55, 81], Operations: []
Exploring Operation: 19*3=57, Resulting Numbers: [55, 81, 57]
Generated Node #2: [55, 81, 57] from Operation: 19*3=57
Current State: 79:[55, 81, 57], Operations: ['19*3=57']
Exploring Operation: 55+81=136, Resulting Numbers: [57, 136]
Generated Node #3: [57, 136] from Operation: 55+81=136
Current State: 79:[57, 136], Operations: ['19*3=57', '55+81=136']
Exploring Operation: 136-57=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
82,
22,
83,
8
] | 15 | [
"82-22=60",
"83-8=75",
"75-60=15"
] | Current State: 15:[82, 22, 83, 8], Operations: []
Exploring Operation: 82-22=60, Resulting Numbers: [83, 8, 60]
Generated Node #2: [83, 8, 60] from Operation: 82-22=60
Current State: 15:[83, 8, 60], Operations: ['82-22=60']
Exploring Operation: 83-8=75, Resulting Numbers: [60, 75]
Generated Node #3: [60, 75] from Operation: 83-8=75
Current State: 15:[60, 75], Operations: ['82-22=60', '83-8=75']
Exploring Operation: 75-60=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
69,
70,
91,
13
] | 78 | [
"70-69=1",
"91-13=78",
"1*78=78"
] | Current State: 78:[69, 70, 91, 13], Operations: []
Exploring Operation: 70-69=1, Resulting Numbers: [91, 13, 1]
Generated Node #2: [91, 13, 1] from Operation: 70-69=1
Current State: 78:[91, 13, 1], Operations: ['70-69=1']
Exploring Operation: 91-13=78, Resulting Numbers: [1, 78]
Generated Node #3: [1, 78] from Operation: 91-13=78
Current State: 78:[1, 78], Operations: ['70-69=1', '91-13=78']
Exploring Operation: 1*78=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
19,
98,
94,
30
] | 44 | [
"30-19=11",
"98-94=4",
"11*4=44"
] | Current State: 44:[19, 98, 94, 30], Operations: []
Exploring Operation: 30-19=11, Resulting Numbers: [98, 94, 11]
Generated Node #2: [98, 94, 11] from Operation: 30-19=11
Current State: 44:[98, 94, 11], Operations: ['30-19=11']
Exploring Operation: 98-94=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 98-94=4
Current State: 44:[11, 4], Operations: ['30-19=11', '98-94=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
61,
84,
74,
5
] | 56 | [
"84-61=23",
"74+5=79",
"79-23=56"
] | Current State: 56:[61, 84, 74, 5], Operations: []
Exploring Operation: 84-61=23, Resulting Numbers: [74, 5, 23]
Generated Node #2: [74, 5, 23] from Operation: 84-61=23
Current State: 56:[74, 5, 23], Operations: ['84-61=23']
Exploring Operation: 74+5=79, Resulting Numbers: [23, 79]
Generated Node #3: [23, 79] from Operation: 74+5=79
Current State: 56:[23, 79], Operations: ['84-61=23', '74+5=79']
Exploring Operation: 79-23=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
69,
54,
92,
98
] | 78 | [
"98-92=6",
"54/6=9",
"69+9=78"
] | Current State: 78:[69, 54, 92, 98], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [69, 54, 6]
Generated Node #2: [69, 54, 6] from Operation: 98-92=6
Current State: 78:[69, 54, 6], Operations: ['98-92=6']
Exploring Operation: 54/6=9, Resulting Numbers: [69, 9]
Generated Node #3: [69, 9] from Operation: 54/6=9
Current State: 78:[69, 9], Operations: ['98-92=6', '54/6=9']
Exploring Operation: 69+9=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
24,
45,
77,
7
] | 15 | [
"24+45=69",
"77+7=84",
"84-69=15"
] | Current State: 15:[24, 45, 77, 7], Operations: []
Exploring Operation: 24+45=69, Resulting Numbers: [77, 7, 69]
Generated Node #2: [77, 7, 69] from Operation: 24+45=69
Current State: 15:[77, 7, 69], Operations: ['24+45=69']
Exploring Operation: 77+7=84, Resulting Numbers: [69, 84]
Generated Node #3: [69, 84] from Operation: 77+7=84
Current State: 15:[69, 84], Operations: ['24+45=69', '77+7=84']
Exploring Operation: 84-69=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
19,
54,
6,
41
] | 30 | [
"54+41=95",
"95/19=5",
"6*5=30"
] | Current State: 30:[19, 54, 6, 41], Operations: []
Exploring Operation: 54+41=95, Resulting Numbers: [19, 6, 95]
Generated Node #2: [19, 6, 95] from Operation: 54+41=95
Current State: 30:[19, 6, 95], Operations: ['54+41=95']
Exploring Operation: 95/19=5, Resulting Numbers: [6, 5]
Generated Node #3: [6, 5] from Operation: 95/19=5
Current State: 30:[6, 5], Operations: ['54+41=95', '95/19=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
3,
95,
6,
63
] | 29 | [
"3+95=98",
"6+63=69",
"98-69=29"
] | Current State: 29:[3, 95, 6, 63], Operations: []
Exploring Operation: 3+95=98, Resulting Numbers: [6, 63, 98]
Generated Node #2: [6, 63, 98] from Operation: 3+95=98
Current State: 29:[6, 63, 98], Operations: ['3+95=98']
Exploring Operation: 6+63=69, Resulting Numbers: [98, 69]
Generated Node #3: [98, 69] from Operation: 6+63=69
Current State: 29:[98, 69], Operations: ['3+95=98', '6+63=69']
Exploring Operation: 98-69=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
63,
11,
3,
6
] | 34 | [
"63-11=52",
"3*6=18",
"52-18=34"
] | Current State: 34:[63, 11, 3, 6], Operations: []
Exploring Operation: 63-11=52, Resulting Numbers: [3, 6, 52]
Generated Node #2: [3, 6, 52] from Operation: 63-11=52
Current State: 34:[3, 6, 52], Operations: ['63-11=52']
Exploring Operation: 3*6=18, Resulting Numbers: [52, 18]
Generated Node #3: [52, 18] from Operation: 3*6=18
Current State: 34:[52, 18], Operations: ['63-11=52', '3*6=18']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
73,
33,
44,
44
] | 33 | [
"44-44=0",
"73*0=0",
"33+0=33"
] | Current State: 33:[73, 33, 44, 44], Operations: []
Exploring Operation: 44-44=0, Resulting Numbers: [73, 33, 0]
Generated Node #2: [73, 33, 0] from Operation: 44-44=0
Current State: 33:[73, 33, 0], Operations: ['44-44=0']
Exploring Operation: 73*0=0, Resulting Numbers: [33, 0]
Generated Node #3: [33, 0] from Operation: 73*0=0
Current State: 33:[33, 0], Operations: ['44-44=0', '73*0=0']
Exploring Operation: 33+0=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
61,
83,
93,
75
] | 24 | [
"61+83=144",
"93+75=168",
"168-144=24"
] | Current State: 24:[61, 83, 93, 75], Operations: []
Exploring Operation: 61+83=144, Resulting Numbers: [93, 75, 144]
Generated Node #2: [93, 75, 144] from Operation: 61+83=144
Current State: 24:[93, 75, 144], Operations: ['61+83=144']
Exploring Operation: 93+75=168, Resulting Numbers: [144, 168]
Generated Node #3: [144, 168] from Operation: 93+75=168
Current State: 24:[144, 168], Operations: ['61+83=144', '93+75=168']
Exploring Operation: 168-144=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
14,
82,
47,
80
] | 54 | [
"82-80=2",
"14/2=7",
"47+7=54"
] | Current State: 54:[14, 82, 47, 80], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [14, 47, 2]
Generated Node #2: [14, 47, 2] from Operation: 82-80=2
Current State: 54:[14, 47, 2], Operations: ['82-80=2']
Exploring Operation: 14/2=7, Resulting Numbers: [47, 7]
Generated Node #3: [47, 7] from Operation: 14/2=7
Current State: 54:[47, 7], Operations: ['82-80=2', '14/2=7']
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
53,
24,
78,
69
] | 68 | [
"53+24=77",
"78-69=9",
"77-9=68"
] | Current State: 68:[53, 24, 78, 69], Operations: []
Exploring Operation: 53+24=77, Resulting Numbers: [78, 69, 77]
Generated Node #2: [78, 69, 77] from Operation: 53+24=77
Current State: 68:[78, 69, 77], Operations: ['53+24=77']
Exploring Operation: 78-69=9, Resulting Numbers: [77, 9]
Generated Node #3: [77, 9] from Operation: 78-69=9
Current State: 68:[77, 9], Operations: ['53+24=77', '78-69=9']
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
72,
76,
58,
74
] | 56 | [
"72+76=148",
"148/74=2",
"58-2=56"
] | Current State: 56:[72, 76, 58, 74], Operations: []
Exploring Operation: 72+76=148, Resulting Numbers: [58, 74, 148]
Generated Node #2: [58, 74, 148] from Operation: 72+76=148
Current State: 56:[58, 74, 148], Operations: ['72+76=148']
Exploring Operation: 148/74=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 148/74=2
Current State: 56:[58, 2], Operations: ['72+76=148', '148/74=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
13,
51,
56,
42
] | 14 | [
"51-13=38",
"42-38=4",
"56/4=14"
] | Current State: 14:[13, 51, 56, 42], Operations: []
Exploring Operation: 51-13=38, Resulting Numbers: [56, 42, 38]
Generated Node #2: [56, 42, 38] from Operation: 51-13=38
Current State: 14:[56, 42, 38], Operations: ['51-13=38']
Exploring Operation: 42-38=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 42-38=4
Current State: 14:[56, 4], Operations: ['51-13=38', '42-38=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
44,
58,
15,
55
] | 87 | [
"44-15=29",
"58-55=3",
"29*3=87"
] | Current State: 87:[44, 58, 15, 55], Operations: []
Exploring Operation: 44-15=29, Resulting Numbers: [58, 55, 29]
Generated Node #2: [58, 55, 29] from Operation: 44-15=29
Current State: 87:[58, 55, 29], Operations: ['44-15=29']
Exploring Operation: 58-55=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 58-55=3
Current State: 87:[29, 3], Operations: ['44-15=29', '58-55=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
6,
33,
82,
42
] | 74 | [
"6*33=198",
"82+42=124",
"198-124=74"
] | Current State: 74:[6, 33, 82, 42], Operations: []
Exploring Operation: 6*33=198, Resulting Numbers: [82, 42, 198]
Generated Node #2: [82, 42, 198] from Operation: 6*33=198
Current State: 74:[82, 42, 198], Operations: ['6*33=198']
Exploring Operation: 82+42=124, Resulting Numbers: [198, 124]
Generated Node #3: [198, 124] from Operation: 82+42=124
Current State: 74:[198, 124], Operations: ['6*33=198', '82+42=124']
Exploring Operation: 198-124=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
59,
7,
63,
62
] | 84 | [
"62-59=3",
"7*3=21",
"63+21=84"
] | Current State: 84:[59, 7, 63, 62], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [7, 63, 3]
Generated Node #2: [7, 63, 3] from Operation: 62-59=3
Current State: 84:[7, 63, 3], Operations: ['62-59=3']
Exploring Operation: 7*3=21, Resulting Numbers: [63, 21]
Generated Node #3: [63, 21] from Operation: 7*3=21
Current State: 84:[63, 21], Operations: ['62-59=3', '7*3=21']
Exploring Operation: 63+21=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
7,
93,
39,
37
] | 13 | [
"93-39=54",
"37+54=91",
"91/7=13"
] | Current State: 13:[7, 93, 39, 37], Operations: []
Exploring Operation: 93-39=54, Resulting Numbers: [7, 37, 54]
Generated Node #2: [7, 37, 54] from Operation: 93-39=54
Current State: 13:[7, 37, 54], Operations: ['93-39=54']
Exploring Operation: 37+54=91, Resulting Numbers: [7, 91]
Generated Node #3: [7, 91] from Operation: 37+54=91
Current State: 13:[7, 91], Operations: ['93-39=54', '37+54=91']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
41,
72,
16,
83
] | 46 | [
"41+72=113",
"83-16=67",
"113-67=46"
] | Current State: 46:[41, 72, 16, 83], Operations: []
Exploring Operation: 41+72=113, Resulting Numbers: [16, 83, 113]
Generated Node #2: [16, 83, 113] from Operation: 41+72=113
Current State: 46:[16, 83, 113], Operations: ['41+72=113']
Exploring Operation: 83-16=67, Resulting Numbers: [113, 67]
Generated Node #3: [113, 67] from Operation: 83-16=67
Current State: 46:[113, 67], Operations: ['41+72=113', '83-16=67']
Exploring Operation: 113-67=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
17,
32,
6,
15
] | 20 | [
"17-15=2",
"6*2=12",
"32-12=20"
] | Current State: 20:[17, 32, 6, 15], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [32, 6, 2]
Generated Node #2: [32, 6, 2] from Operation: 17-15=2
Current State: 20:[32, 6, 2], Operations: ['17-15=2']
Exploring Operation: 6*2=12, Resulting Numbers: [32, 12]
Generated Node #3: [32, 12] from Operation: 6*2=12
Current State: 20:[32, 12], Operations: ['17-15=2', '6*2=12']
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
42,
44,
22,
95
] | 84 | [
"44-42=2",
"22/2=11",
"95-11=84"
] | Current State: 84:[42, 44, 22, 95], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [22, 95, 2]
Generated Node #2: [22, 95, 2] from Operation: 44-42=2
Current State: 84:[22, 95, 2], Operations: ['44-42=2']
Exploring Operation: 22/2=11, Resulting Numbers: [95, 11]
Generated Node #3: [95, 11] from Operation: 22/2=11
Current State: 84:[95, 11], Operations: ['44-42=2', '22/2=11']
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
32,
40,
59,
94
] | 81 | [
"32+40=72",
"59+94=153",
"153-72=81"
] | Current State: 81:[32, 40, 59, 94], Operations: []
Exploring Operation: 32+40=72, Resulting Numbers: [59, 94, 72]
Generated Node #2: [59, 94, 72] from Operation: 32+40=72
Current State: 81:[59, 94, 72], Operations: ['32+40=72']
Exploring Operation: 59+94=153, Resulting Numbers: [72, 153]
Generated Node #3: [72, 153] from Operation: 59+94=153
Current State: 81:[72, 153], Operations: ['32+40=72', '59+94=153']
Exploring Operation: 153-72=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
96,
23,
24,
71
] | 22 | [
"96-23=73",
"24+71=95",
"95-73=22"
] | Current State: 22:[96, 23, 24, 71], Operations: []
Exploring Operation: 96-23=73, Resulting Numbers: [24, 71, 73]
Generated Node #2: [24, 71, 73] from Operation: 96-23=73
Current State: 22:[24, 71, 73], Operations: ['96-23=73']
Exploring Operation: 24+71=95, Resulting Numbers: [73, 95]
Generated Node #3: [73, 95] from Operation: 24+71=95
Current State: 22:[73, 95], Operations: ['96-23=73', '24+71=95']
Exploring Operation: 95-73=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
2,
73,
26,
44
] | 67 | [
"26+44=70",
"2*70=140",
"140-73=67"
] | Current State: 67:[2, 73, 26, 44], Operations: []
Exploring Operation: 26+44=70, Resulting Numbers: [2, 73, 70]
Generated Node #2: [2, 73, 70] from Operation: 26+44=70
Current State: 67:[2, 73, 70], Operations: ['26+44=70']
Exploring Operation: 2*70=140, Resulting Numbers: [73, 140]
Generated Node #3: [73, 140] from Operation: 2*70=140
Current State: 67:[73, 140], Operations: ['26+44=70', '2*70=140']
Exploring Operation: 140-73=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
36,
42,
83,
42
] | 76 | [
"42-36=6",
"42/6=7",
"83-7=76"
] | Current State: 76:[36, 42, 83, 42], Operations: []
Exploring Operation: 42-36=6, Resulting Numbers: [83, 6]
Generated Node #2: [83, 6] from Operation: 42-36=6
Current State: 76:[83, 6], Operations: ['42-36=6']
Exploring Operation: 42/6=7, Resulting Numbers: [83, 7]
Generated Node #3: [83, 7] from Operation: 42/6=7
Current State: 76:[83, 7], Operations: ['42-36=6', '42/6=7']
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
60,
13,
42,
7
] | 35 | [
"60-13=47",
"47-42=5",
"7*5=35"
] | Current State: 35:[60, 13, 42, 7], Operations: []
Exploring Operation: 60-13=47, Resulting Numbers: [42, 7, 47]
Generated Node #2: [42, 7, 47] from Operation: 60-13=47
Current State: 35:[42, 7, 47], Operations: ['60-13=47']
Exploring Operation: 47-42=5, Resulting Numbers: [7, 5]
Generated Node #3: [7, 5] from Operation: 47-42=5
Current State: 35:[7, 5], Operations: ['60-13=47', '47-42=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
51,
40,
1,
85
] | 23 | [
"51*40=2040",
"2040/85=24",
"24-1=23"
] | Current State: 23:[51, 40, 1, 85], Operations: []
Exploring Operation: 51*40=2040, Resulting Numbers: [1, 85, 2040]
Generated Node #2: [1, 85, 2040] from Operation: 51*40=2040
Current State: 23:[1, 85, 2040], Operations: ['51*40=2040']
Exploring Operation: 2040/85=24, Resulting Numbers: [1, 24]
Generated Node #3: [1, 24] from Operation: 2040/85=24
Current State: 23:[1, 24], Operations: ['51*40=2040', '2040/85=24']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
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